Properties

Label 140.2.s.b.59.3
Level 140140
Weight 22
Character 140.59
Analytic conductor 1.1181.118
Analytic rank 00
Dimension 3232
Inner twists 88

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [140,2,Mod(19,140)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(140, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 3, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("140.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 140=2257 140 = 2^{2} \cdot 5 \cdot 7
Weight: k k == 2 2
Character orbit: [χ][\chi] == 140.s (of order 66, degree 22, 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: 1.117905628301.11790562830
Analytic rank: 00
Dimension: 3232
Relative dimension: 1616 over Q(ζ6)\Q(\zeta_{6})
Twist minimal: yes
Sato-Tate group: SU(2)[C6]\mathrm{SU}(2)[C_{6}]

Embedding invariants

Embedding label 59.3
Character χ\chi == 140.59
Dual form 140.2.s.b.19.3

qq-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
f(q)f(q) == q+(1.36614+0.365598i)q2+(1.281000.739583i)q3+(1.732680.998916i)q4+(1.26649+1.84283i)q5+(2.02041+0.542044i)q6+(0.6640372.56107i)q7+(2.00188+1.99812i)q8+(0.4060340.703271i)q9+(1.056462.98058i)q10+(5.328753.07655i)q11+(2.958330.00185057i)q123.33366q13+(0.0291534+3.74154i)q14+(2.985291.42398i)q15+(2.004333.46160i)q16+(1.275942.21000i)q17+(0.811813+0.812321i)q18+(0.352781+0.611035i)q19+(0.353580+4.45814i)q20+(2.74475+2.78960i)q21+(8.40459+2.25482i)q22+(0.9834111.70332i)q23+(4.042171.07903i)q24+(1.792034.66783i)q25+(4.554241.21878i)q26+5.63868iq27+(1.407735.10081i)q28+5.17926q29+(3.55771+3.03677i)q30+(3.40156+5.89167i)q31+(1.47264+5.46181i)q32+(4.55073+7.88210i)q33+(0.935146+3.48565i)q34+(3.87861+4.46726i)q35+(1.406030.812947i)q36+(5.904313.40886i)q37+(0.7053420.705783i)q38+(4.27040+2.46552i)q39+(1.146856.21971i)q40+2.53373iq41+(2.729844.81446i)q424.59892q43+(12.30620.00769809i)q44+(1.81024+0.142433i)q45+(1.96621+1.96744i)q46+(3.783882.18463i)q47+(5.12768+2.95192i)q48+(6.118113.40128i)q49+(4.15471+5.72175i)q50+(3.26896+1.88733i)q51+(5.77615+3.33005i)q52+(4.809292.77664i)q53+(2.061497.70323i)q54+(12.41835.92355i)q55+(3.78800+6.45376i)q561.04364iq57+(7.07560+1.89353i)q58+(3.401565.89167i)q59+(3.750105.44935i)q60+(3.078001.77708i)q61+(2.493029.29244i)q62+(2.07074+0.572881i)q63+(0.01501317.99999i)q64+(4.222036.14336i)q65+(9.098629.10431i)q66+(1.45061+2.51253i)q67+(0.003192645.10377i)q68+2.90926iq69+(6.931944.68489i)q703.37084iq71+(2.21805+0.596556i)q72+(1.27594+2.21000i)q73+(6.81984+6.81558i)q74+(1.15667+7.30482i)q75+(1.22163+0.706327i)q76+(11.4177+11.6043i)q77+(6.735361.80699i)q78+(5.385643.10940i)q79+(3.84067+8.07770i)q80+(2.952175.11331i)q81+(0.9263273.46143i)q82+4.70266iq83+(1.96918+7.57525i)q84+(2.45668+5.15028i)q85+(6.282771.68136i)q86+(6.634613.83049i)q87+(16.81484.48861i)q88+(5.19692+3.00044i)q89+(2.52512+0.467238i)q90+(2.21367+8.53772i)q91+(3.405411.96895i)q92+(8.714755.03147i)q93+(4.37062+4.36789i)q94+(1.572820.123752i)q95+(5.925915.90740i)q969.46331q97+(9.60170+2.40986i)q98+4.99674iq99+O(q100)q+(-1.36614 + 0.365598i) q^{2} +(-1.28100 - 0.739583i) q^{3} +(1.73268 - 0.998916i) q^{4} +(-1.26649 + 1.84283i) q^{5} +(2.02041 + 0.542044i) q^{6} +(0.664037 - 2.56107i) q^{7} +(-2.00188 + 1.99812i) q^{8} +(-0.406034 - 0.703271i) q^{9} +(1.05646 - 2.98058i) q^{10} +(-5.32875 - 3.07655i) q^{11} +(-2.95833 - 0.00185057i) q^{12} -3.33366 q^{13} +(0.0291534 + 3.74154i) q^{14} +(2.98529 - 1.42398i) q^{15} +(2.00433 - 3.46160i) q^{16} +(1.27594 - 2.21000i) q^{17} +(0.811813 + 0.812321i) q^{18} +(0.352781 + 0.611035i) q^{19} +(-0.353580 + 4.45814i) q^{20} +(-2.74475 + 2.78960i) q^{21} +(8.40459 + 2.25482i) q^{22} +(-0.983411 - 1.70332i) q^{23} +(4.04217 - 1.07903i) q^{24} +(-1.79203 - 4.66783i) q^{25} +(4.55424 - 1.21878i) q^{26} +5.63868i q^{27} +(-1.40773 - 5.10081i) q^{28} +5.17926 q^{29} +(-3.55771 + 3.03677i) q^{30} +(-3.40156 + 5.89167i) q^{31} +(-1.47264 + 5.46181i) q^{32} +(4.55073 + 7.88210i) q^{33} +(-0.935146 + 3.48565i) q^{34} +(3.87861 + 4.46726i) q^{35} +(-1.40603 - 0.812947i) q^{36} +(5.90431 - 3.40886i) q^{37} +(-0.705342 - 0.705783i) q^{38} +(4.27040 + 2.46552i) q^{39} +(-1.14685 - 6.21971i) q^{40} +2.53373i q^{41} +(2.72984 - 4.81446i) q^{42} -4.59892 q^{43} +(-12.3062 - 0.00769809i) q^{44} +(1.81024 + 0.142433i) q^{45} +(1.96621 + 1.96744i) q^{46} +(3.78388 - 2.18463i) q^{47} +(-5.12768 + 2.95192i) q^{48} +(-6.11811 - 3.40128i) q^{49} +(4.15471 + 5.72175i) q^{50} +(-3.26896 + 1.88733i) q^{51} +(-5.77615 + 3.33005i) q^{52} +(-4.80929 - 2.77664i) q^{53} +(-2.06149 - 7.70323i) q^{54} +(12.4183 - 5.92355i) q^{55} +(3.78800 + 6.45376i) q^{56} -1.04364i q^{57} +(-7.07560 + 1.89353i) q^{58} +(3.40156 - 5.89167i) q^{59} +(3.75010 - 5.44935i) q^{60} +(3.07800 - 1.77708i) q^{61} +(2.49302 - 9.29244i) q^{62} +(-2.07074 + 0.572881i) q^{63} +(0.0150131 - 7.99999i) q^{64} +(4.22203 - 6.14336i) q^{65} +(-9.09862 - 9.10431i) q^{66} +(-1.45061 + 2.51253i) q^{67} +(0.00319264 - 5.10377i) q^{68} +2.90926i q^{69} +(-6.93194 - 4.68489i) q^{70} -3.37084i q^{71} +(2.21805 + 0.596556i) q^{72} +(-1.27594 + 2.21000i) q^{73} +(-6.81984 + 6.81558i) q^{74} +(-1.15667 + 7.30482i) q^{75} +(1.22163 + 0.706327i) q^{76} +(-11.4177 + 11.6043i) q^{77} +(-6.73536 - 1.80699i) q^{78} +(5.38564 - 3.10940i) q^{79} +(3.84067 + 8.07770i) q^{80} +(2.95217 - 5.11331i) q^{81} +(-0.926327 - 3.46143i) q^{82} +4.70266i q^{83} +(-1.96918 + 7.57525i) q^{84} +(2.45668 + 5.15028i) q^{85} +(6.28277 - 1.68136i) q^{86} +(-6.63461 - 3.83049i) q^{87} +(16.8148 - 4.48861i) q^{88} +(-5.19692 + 3.00044i) q^{89} +(-2.52512 + 0.467238i) q^{90} +(-2.21367 + 8.53772i) q^{91} +(-3.40541 - 1.96895i) q^{92} +(8.71475 - 5.03147i) q^{93} +(-4.37062 + 4.36789i) q^{94} +(-1.57282 - 0.123752i) q^{95} +(5.92591 - 5.90740i) q^{96} -9.46331 q^{97} +(9.60170 + 2.40986i) q^{98} +4.99674i q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 32q+6q46q5+4q912q10+22q14+18q1652q2148q2426q2518q2626q3028q36+42q4026q44+36q4522q46+36q50++60q96+O(q100) 32 q + 6 q^{4} - 6 q^{5} + 4 q^{9} - 12 q^{10} + 22 q^{14} + 18 q^{16} - 52 q^{21} - 48 q^{24} - 26 q^{25} - 18 q^{26} - 26 q^{30} - 28 q^{36} + 42 q^{40} - 26 q^{44} + 36 q^{45} - 22 q^{46} + 36 q^{50}+ \cdots + 60 q^{96}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/140Z)×\left(\mathbb{Z}/140\mathbb{Z}\right)^\times.

nn 5757 7171 101101
χ(n)\chi(n) 1-1 1-1 e(16)e\left(\frac{1}{6}\right)

Coefficient data

For each nn we display the coefficients of the qq-expansion ana_n, the Satake parameters αp\alpha_p, and the Satake angles θp=Arg(αp)\theta_p = \textrm{Arg}(\alpha_p).



Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)
Significant digits:
nn ana_n an/n(k1)/2a_n / n^{(k-1)/2} αn \alpha_n θn \theta_n
pp apa_p ap/p(k1)/2a_p / p^{(k-1)/2} αp \alpha_p θp \theta_p
22 −1.36614 + 0.365598i −0.966007 + 0.258517i
33 −1.28100 0.739583i −0.739583 0.426999i 0.0823346 0.996605i 0.473762π-0.473762\pi
−0.821918 + 0.569606i 0.807096π0.807096\pi
44 1.73268 0.998916i 0.866338 0.499458i
55 −1.26649 + 1.84283i −0.566390 + 0.824137i
66 2.02041 + 0.542044i 0.824829 + 0.221289i
77 0.664037 2.56107i 0.250982 0.967992i
88 −2.00188 + 1.99812i −0.707770 + 0.706443i
99 −0.406034 0.703271i −0.135345 0.234424i
1010 1.05646 2.98058i 0.334083 0.942544i
1111 −5.32875 3.07655i −1.60668 0.927616i −0.990107 0.140316i 0.955188π-0.955188\pi
−0.616570 0.787300i 0.711478π-0.711478\pi
1212 −2.95833 0.00185057i −0.853997 0.000534214i
1313 −3.33366 −0.924591 −0.462295 0.886726i 0.652974π-0.652974\pi
−0.462295 + 0.886726i 0.652974π0.652974\pi
1414 0.0291534 + 3.74154i 0.00779158 + 0.999970i
1515 2.98529 1.42398i 0.770798 0.367671i
1616 2.00433 3.46160i 0.501083 0.865399i
1717 1.27594 2.21000i 0.309462 0.536004i −0.668783 0.743458i 0.733184π-0.733184\pi
0.978245 + 0.207454i 0.0665178π0.0665178\pi
1818 0.811813 + 0.812321i 0.191346 + 0.191466i
1919 0.352781 + 0.611035i 0.0809335 + 0.140181i 0.903651 0.428269i 0.140877π-0.140877\pi
−0.822718 + 0.568450i 0.807543π0.807543\pi
2020 −0.353580 + 4.45814i −0.0790628 + 0.996870i
2121 −2.74475 + 2.78960i −0.598953 + 0.608741i
2222 8.40459 + 2.25482i 1.79187 + 0.480730i
2323 −0.983411 1.70332i −0.205055 0.355166i 0.745095 0.666958i 0.232404π-0.232404\pi
−0.950150 + 0.311792i 0.899071π0.899071\pi
2424 4.04217 1.07903i 0.825105 0.220257i
2525 −1.79203 4.66783i −0.358405 0.933566i
2626 4.55424 1.21878i 0.893161 0.239022i
2727 5.63868i 1.08516i
2828 −1.40773 5.10081i −0.266036 0.963963i
2929 5.17926 0.961765 0.480882 0.876785i 0.340316π-0.340316\pi
0.480882 + 0.876785i 0.340316π0.340316\pi
3030 −3.55771 + 3.03677i −0.649547 + 0.554436i
3131 −3.40156 + 5.89167i −0.610937 + 1.05817i 0.380145 + 0.924927i 0.375874π0.375874\pi
−0.991083 + 0.133248i 0.957459π0.957459\pi
3232 −1.47264 + 5.46181i −0.260329 + 0.965520i
3333 4.55073 + 7.88210i 0.792181 + 1.37210i
3434 −0.935146 + 3.48565i −0.160376 + 0.597784i
3535 3.87861 + 4.46726i 0.655604 + 0.755105i
3636 −1.40603 0.812947i −0.234339 0.135491i
3737 5.90431 3.40886i 0.970663 0.560412i 0.0712245 0.997460i 0.477309π-0.477309\pi
0.899438 + 0.437048i 0.143976π0.143976\pi
3838 −0.705342 0.705783i −0.114422 0.114493i
3939 4.27040 + 2.46552i 0.683812 + 0.394799i
4040 −1.14685 6.21971i −0.181332 0.983422i
4141 2.53373i 0.395702i 0.980232 + 0.197851i 0.0633962π0.0633962\pi
−0.980232 + 0.197851i 0.936604π0.936604\pi
4242 2.72984 4.81446i 0.421223 0.742888i
4343 −4.59892 −0.701329 −0.350664 0.936501i 0.614044π-0.614044\pi
−0.350664 + 0.936501i 0.614044π0.614044\pi
4444 −12.3062 0.00769809i −1.85523 0.00116053i
4545 1.81024 + 0.142433i 0.269855 + 0.0212326i
4646 1.96621 + 1.96744i 0.289901 + 0.290083i
4747 3.78388 2.18463i 0.551936 0.318660i −0.197966 0.980209i 0.563434π-0.563434\pi
0.749903 + 0.661548i 0.230100π0.230100\pi
4848 −5.12768 + 2.95192i −0.740117 + 0.426073i
4949 −6.11811 3.40128i −0.874016 0.485898i
5050 4.15471 + 5.72175i 0.587564 + 0.809177i
5151 −3.26896 + 1.88733i −0.457746 + 0.264280i
5252 −5.77615 + 3.33005i −0.801008 + 0.461794i
5353 −4.80929 2.77664i −0.660606 0.381401i 0.131902 0.991263i 0.457892π-0.457892\pi
−0.792508 + 0.609861i 0.791225π0.791225\pi
5454 −2.06149 7.70323i −0.280533 1.04828i
5555 12.4183 5.92355i 1.67449 0.798731i
5656 3.78800 + 6.45376i 0.506193 + 0.862420i
5757 1.04364i 0.138234i
5858 −7.07560 + 1.89353i −0.929071 + 0.248632i
5959 3.40156 5.89167i 0.442845 0.767030i −0.555055 0.831814i 0.687303π-0.687303\pi
0.997899 + 0.0647843i 0.0206359π0.0206359\pi
6060 3.75010 5.44935i 0.484135 0.703508i
6161 3.07800 1.77708i 0.394097 0.227532i −0.289837 0.957076i 0.593601π-0.593601\pi
0.683934 + 0.729544i 0.260268π0.260268\pi
6262 2.49302 9.29244i 0.316614 1.18014i
6363 −2.07074 + 0.572881i −0.260889 + 0.0721762i
6464 0.0150131 7.99999i 0.00187664 0.999998i
6565 4.22203 6.14336i 0.523679 0.761990i
6666 −9.09862 9.10431i −1.11996 1.12066i
6767 −1.45061 + 2.51253i −0.177220 + 0.306954i −0.940927 0.338609i 0.890044π-0.890044\pi
0.763707 + 0.645563i 0.223377π0.223377\pi
6868 0.00319264 5.10377i 0.000387165 0.618924i
6969 2.90926i 0.350233i
7070 −6.93194 4.68489i −0.828526 0.559951i
7171 3.37084i 0.400045i −0.979791 0.200023i 0.935898π-0.935898\pi
0.979791 0.200023i 0.0641016π-0.0641016\pi
7272 2.21805 + 0.596556i 0.261400 + 0.0703048i
7373 −1.27594 + 2.21000i −0.149338 + 0.258661i −0.930983 0.365063i 0.881048π-0.881048\pi
0.781645 + 0.623724i 0.214381π0.214381\pi
7474 −6.81984 + 6.81558i −0.792791 + 0.792295i
7575 −1.15667 + 7.30482i −0.133561 + 0.843488i
7676 1.22163 + 0.706327i 0.140130 + 0.0810212i
7777 −11.4177 + 11.6043i −1.30117 + 1.32244i
7878 −6.73536 1.80699i −0.762629 0.204601i
7979 5.38564 3.10940i 0.605932 0.349835i −0.165440 0.986220i 0.552904π-0.552904\pi
0.771372 + 0.636385i 0.219571π0.219571\pi
8080 3.84067 + 8.07770i 0.429400 + 0.903115i
8181 2.95217 5.11331i 0.328019 0.568146i
8282 −0.926327 3.46143i −0.102296 0.382251i
8383 4.70266i 0.516184i 0.966120 + 0.258092i 0.0830937π0.0830937\pi
−0.966120 + 0.258092i 0.916906π0.916906\pi
8484 −1.96918 + 7.57525i −0.214855 + 0.826528i
8585 2.45668 + 5.15028i 0.266465 + 0.558626i
8686 6.28277 1.68136i 0.677488 0.181305i
8787 −6.63461 3.83049i −0.711305 0.410672i
8888 16.8148 4.48861i 1.79247 0.478487i
8989 −5.19692 + 3.00044i −0.550873 + 0.318046i −0.749474 0.662034i 0.769693π-0.769693\pi
0.198601 + 0.980080i 0.436360π0.436360\pi
9090 −2.52512 + 0.467238i −0.266171 + 0.0492512i
9191 −2.21367 + 8.53772i −0.232056 + 0.894996i
9292 −3.40541 1.96895i −0.355038 0.205278i
9393 8.71475 5.03147i 0.903678 0.521739i
9494 −4.37062 + 4.36789i −0.450795 + 0.450513i
9595 −1.57282 0.123752i −0.161368 0.0126967i
9696 5.92591 5.90740i 0.604811 0.602922i
9797 −9.46331 −0.960853 −0.480427 0.877035i 0.659518π-0.659518\pi
−0.480427 + 0.877035i 0.659518π0.659518\pi
9898 9.60170 + 2.40986i 0.969918 + 0.243433i
9999 4.99674i 0.502191i
100100 −7.76777 6.29775i −0.776777 0.629775i
101101 −7.67045 4.42854i −0.763238 0.440656i 0.0672190 0.997738i 0.478587π-0.478587\pi
−0.830457 + 0.557082i 0.811921π0.811921\pi
102102 3.77585 3.77349i 0.373865 0.373631i
103103 7.34573 4.24106i 0.723796 0.417884i −0.0923523 0.995726i 0.529439π-0.529439\pi
0.816148 + 0.577843i 0.196105π0.196105\pi
104104 6.67357 6.66106i 0.654397 0.653171i
105105 −1.66457 8.59109i −0.162445 0.838405i
106106 7.58530 + 2.03502i 0.736749 + 0.197658i
107107 0.354428 + 0.613887i 0.0342638 + 0.0593467i 0.882649 0.470033i 0.155758π-0.155758\pi
−0.848385 + 0.529380i 0.822425π0.822425\pi
108108 5.63257 + 9.77001i 0.541994 + 0.940119i
109109 1.54614 2.67799i 0.148093 0.256505i −0.782429 0.622739i 0.786020π-0.786020\pi
0.930523 + 0.366234i 0.119353π0.119353\pi
110110 −14.7995 + 12.6325i −1.41108 + 1.20446i
111111 −10.0845 −0.957181
112112 −7.53442 7.43185i −0.711936 0.702244i
113113 14.7206i 1.38479i −0.721517 0.692397i 0.756555π-0.756555\pi
0.721517 0.692397i 0.243445π-0.243445\pi
114114 0.381554 + 1.42576i 0.0357358 + 0.133535i
115115 4.38440 + 0.344972i 0.408847 + 0.0321688i
116116 8.97398 5.17365i 0.833213 0.480361i
117117 1.35358 + 2.34447i 0.125138 + 0.216746i
118118 −2.49302 + 9.29244i −0.229501 + 0.855439i
119119 −4.81268 4.73530i −0.441178 0.434084i
120120 −3.13088 + 8.81560i −0.285809 + 0.804751i
121121 13.4304 + 23.2621i 1.22094 + 2.11473i
122122 −3.55528 + 3.55305i −0.321880 + 0.321678i
123123 1.87390 3.24570i 0.168964 0.292655i
124124 −0.00851131 + 13.6062i −0.000764338 + 1.22187i
125125 10.8716 + 2.60935i 0.972384 + 0.233387i
126126 2.61948 1.53970i 0.233362 0.137167i
127127 4.48071 0.397599 0.198800 0.980040i 0.436296π-0.436296\pi
0.198800 + 0.980040i 0.436296π0.436296\pi
128128 2.90427 + 10.9346i 0.256704 + 0.966490i
129129 5.89120 + 3.40128i 0.518691 + 0.299466i
130130 −3.52189 + 9.93625i −0.308890 + 0.871467i
131131 −8.09104 14.0141i −0.706917 1.22442i −0.965995 0.258560i 0.916752π-0.916752\pi
0.259078 0.965856i 0.416581π-0.416581\pi
132132 15.7585 + 9.11132i 1.37160 + 0.793039i
133133 1.79916 0.497746i 0.156007 0.0431600i
134134 1.06316 3.96280i 0.0918429 0.342334i
135135 −10.3911 7.14131i −0.894325 0.614626i
136136 1.86157 + 6.97364i 0.159628 + 0.597984i
137137 9.27211 + 5.35325i 0.792170 + 0.457359i 0.840726 0.541461i 0.182129π-0.182129\pi
−0.0485562 + 0.998820i 0.515462π0.515462\pi
138138 −1.06362 3.97445i −0.0905413 0.338328i
139139 −16.1633 −1.37095 −0.685475 0.728096i 0.740406π-0.740406\pi
−0.685475 + 0.728096i 0.740406π0.740406\pi
140140 11.1828 + 3.86591i 0.945118 + 0.326729i
141141 −6.46285 −0.544270
142142 1.23237 + 4.60504i 0.103418 + 0.386446i
143143 17.7642 + 10.2562i 1.48552 + 0.857665i
144144 −3.24827 0.00406388i −0.270689 0.000338657i
145145 −6.55946 + 9.54449i −0.544734 + 0.792626i
146146 0.935146 3.48565i 0.0773932 0.288475i
147147 5.32174 + 8.88188i 0.438930 + 0.732565i
148148 6.82510 11.8044i 0.561019 0.970312i
149149 −3.79441 6.57211i −0.310850 0.538408i 0.667697 0.744434i 0.267280π-0.267280\pi
−0.978547 + 0.206025i 0.933947π0.933947\pi
150150 −1.09045 10.4023i −0.0890352 0.849343i
151151 1.80399 + 1.04154i 0.146807 + 0.0847590i 0.571604 0.820530i 0.306321π-0.306321\pi
−0.424797 + 0.905288i 0.639655π0.639655\pi
152152 −1.92715 0.518316i −0.156312 0.0420410i
153153 −2.07230 −0.167536
154154 11.3557 20.0274i 0.915069 1.61386i
155155 −6.54930 13.7302i −0.526053 1.10284i
156156 9.86207 + 0.00616917i 0.789597 + 0.000493929i
157157 6.52053 11.2939i 0.520395 0.901351i −0.479324 0.877638i 0.659118π-0.659118\pi
0.999719 0.0237128i 0.00754873π-0.00754873\pi
158158 −6.22075 + 6.21686i −0.494896 + 0.494587i
159159 4.10712 + 7.11374i 0.325716 + 0.564156i
160160 −8.20008 9.63113i −0.648273 0.761408i
161161 −5.01533 + 1.38751i −0.395263 + 0.109351i
162162 −2.16366 + 8.06481i −0.169993 + 0.633631i
163163 0.754695 + 1.30717i 0.0591123 + 0.102386i 0.894067 0.447933i 0.147840π-0.147840\pi
−0.834955 + 0.550318i 0.814506π0.814506\pi
164164 2.53098 + 4.39013i 0.197637 + 0.342812i
165165 −20.2888 1.59636i −1.57948 0.124276i
166166 −1.71928 6.42449i −0.133442 0.498637i
167167 20.2522i 1.56716i −0.621290 0.783581i 0.713391π-0.713391\pi
0.621290 0.783581i 0.286609π-0.286609\pi
168168 −0.0793216 11.0688i −0.00611979 0.853975i
169169 −1.88672 −0.145132
170170 −5.23910 6.13784i −0.401821 0.470751i
171171 0.286482 0.496201i 0.0219078 0.0379455i
172172 −7.96844 + 4.59394i −0.607588 + 0.350284i
173173 4.86816 + 8.43190i 0.370119 + 0.641065i 0.989584 0.143960i 0.0459835π-0.0459835\pi
−0.619464 + 0.785025i 0.712650π0.712650\pi
174174 10.4642 + 2.80739i 0.793291 + 0.212828i
175175 −13.1446 + 1.48988i −0.993638 + 0.112625i
176176 −21.3304 + 12.2795i −1.60784 + 0.925605i
177177 −8.71475 + 5.03147i −0.655041 + 0.378188i
178178 6.00276 5.99901i 0.449926 0.449645i
179179 5.99116 + 3.45900i 0.447800 + 0.258538i 0.706901 0.707313i 0.250093π-0.250093\pi
−0.259100 + 0.965850i 0.583426π0.583426\pi
180180 3.27884 1.56149i 0.244391 0.116387i
181181 23.5933i 1.75367i −0.480789 0.876836i 0.659650π-0.659650\pi
0.480789 0.876836i 0.340350π-0.340350\pi
182182 −0.0971876 12.4730i −0.00720403 0.924563i
183183 −5.25720 −0.388623
184184 5.37211 + 1.44486i 0.396037 + 0.106516i
185185 −1.19580 + 15.1979i −0.0879166 + 1.11737i
186186 −10.0661 + 10.0598i −0.738081 + 0.737619i
187187 −13.5984 + 7.85102i −0.994411 + 0.574123i
188188 4.37399 7.56503i 0.319006 0.551737i
189189 14.4410 + 3.74429i 1.05043 + 0.272357i
190190 2.19394 0.405959i 0.159165 0.0294513i
191191 9.40212 5.42832i 0.680313 0.392779i −0.119660 0.992815i 0.538180π-0.538180\pi
0.799973 + 0.600036i 0.204847π0.204847\pi
192192 −5.93589 + 10.2368i −0.428386 + 0.738780i
193193 −6.57523 3.79621i −0.473295 0.273257i 0.244323 0.969694i 0.421434π-0.421434\pi
−0.717618 + 0.696437i 0.754768π0.754768\pi
194194 12.9282 3.45977i 0.928191 0.248397i
195195 −9.95193 + 4.74707i −0.712672 + 0.339945i
196196 −13.9983 + 0.218158i −0.999879 + 0.0155827i
197197 13.5289i 0.963896i −0.876200 0.481948i 0.839929π-0.839929\pi
0.876200 0.481948i 0.160071π-0.160071\pi
198198 −1.82680 6.82624i −0.129825 0.485120i
199199 2.27997 3.94903i 0.161623 0.279939i −0.773828 0.633396i 0.781661π-0.781661\pi
0.935451 + 0.353457i 0.114994π0.114994\pi
200200 12.9143 + 5.76373i 0.913180 + 0.407557i
201201 3.71644 2.14569i 0.262138 0.151345i
202202 12.0980 + 3.24570i 0.851210 + 0.228366i
203203 3.43922 13.2644i 0.241386 0.930980i
204204 −3.77876 + 6.53555i −0.264566 + 0.457580i
205205 −4.66923 3.20893i −0.326113 0.224122i
206206 −8.48477 + 8.47946i −0.591162 + 0.590792i
207207 −0.798596 + 1.38321i −0.0555063 + 0.0961397i
208208 −6.68176 + 11.5398i −0.463297 + 0.800140i
209209 4.34140i 0.300301i
210210 5.41492 + 11.1281i 0.373665 + 0.767910i
211211 10.6803i 0.735263i 0.929971 + 0.367632i 0.119831π0.119831\pi
−0.929971 + 0.367632i 0.880169π0.880169\pi
212212 −11.1066 0.00694767i −0.762803 0.000477168i
213213 −2.49302 + 4.31803i −0.170819 + 0.295867i
214214 −0.708633 0.709077i −0.0484412 0.0484715i
215215 5.82447 8.47502i 0.397225 0.577991i
216216 −11.2668 11.2879i −0.766607 0.768047i
217217 12.8302 + 12.6239i 0.870970 + 0.856965i
218218 −1.13317 + 4.22377i −0.0767482 + 0.286070i
219219 3.26896 1.88733i 0.220896 0.127534i
220220 15.5998 22.6685i 1.05174 1.52831i
221221 −4.25356 + 7.36739i −0.286126 + 0.495584i
222222 13.7769 3.68688i 0.924643 0.247447i
223223 10.9683i 0.734492i 0.930124 + 0.367246i 0.119699π0.119699\pi
−0.930124 + 0.367246i 0.880301π0.880301\pi
224224 13.0101 + 7.39838i 0.869277 + 0.494325i
225225 −2.55513 + 3.15558i −0.170342 + 0.210372i
226226 5.38181 + 20.1103i 0.357993 + 1.33772i
227227 −9.75105 5.62977i −0.647200 0.373661i 0.140183 0.990126i 0.455231π-0.455231\pi
−0.787383 + 0.616465i 0.788564π0.788564\pi
228228 −1.04251 1.80830i −0.0690421 0.119757i
229229 −6.16780 + 3.56098i −0.407580 + 0.235316i −0.689749 0.724048i 0.742279π-0.742279\pi
0.282169 + 0.959365i 0.408946π0.408946\pi
230230 −6.11582 + 1.13165i −0.403265 + 0.0746187i
231231 23.2084 6.42072i 1.52700 0.422452i
232232 −10.3682 + 10.3488i −0.680708 + 0.679432i
233233 −4.87233 + 2.81304i −0.319197 + 0.184289i −0.651035 0.759048i 0.725665π-0.725665\pi
0.331838 + 0.943337i 0.392331π0.392331\pi
234234 −2.70631 2.70800i −0.176917 0.177028i
235235 −0.766347 + 9.73984i −0.0499910 + 0.635357i
236236 0.00851131 13.6062i 0.000554039 0.885689i
237237 −9.19865 −0.597516
238238 8.30601 + 4.70957i 0.538399 + 0.305276i
239239 18.9288i 1.22440i 0.790701 + 0.612202i 0.209716π0.209716\pi
−0.790701 + 0.612202i 0.790284π0.790284\pi
240240 1.05426 13.1880i 0.0680519 0.851281i
241241 −4.08233 2.35694i −0.262966 0.151824i 0.362721 0.931898i 0.381848π-0.381848\pi
−0.625687 + 0.780074i 0.715181π0.715181\pi
242242 −26.8523 26.8691i −1.72613 1.72721i
243243 7.08628 4.09127i 0.454585 0.262455i
244244 3.55801 6.15377i 0.227779 0.393955i
245245 14.0165 6.96694i 0.895480 0.445102i
246246 −1.37339 + 5.11917i −0.0875644 + 0.326386i
247247 −1.17605 2.03698i −0.0748304 0.129610i
248248 −4.96278 18.5911i −0.315137 1.18054i
249249 3.47801 6.02408i 0.220410 0.381761i
250250 −15.8061 + 0.409896i −0.999664 + 0.0259241i
251251 23.7582 1.49961 0.749803 0.661661i 0.230148π-0.230148\pi
0.749803 + 0.661661i 0.230148π0.230148\pi
252252 −3.01567 + 3.06112i −0.189969 + 0.192832i
253253 12.1021i 0.760850i
254254 −6.12128 + 1.63814i −0.384083 + 0.102786i
255255 0.662059 8.41440i 0.0414598 0.526930i
256256 −7.96530 13.8764i −0.497831 0.867274i
257257 −7.61973 13.1978i −0.475306 0.823254i 0.524294 0.851537i 0.324329π-0.324329\pi
−0.999600 + 0.0282835i 0.990996π0.990996\pi
258258 −9.29170 2.49282i −0.578476 0.155196i
259259 −4.80962 17.3849i −0.298855 1.08025i
260260 1.17871 14.8619i 0.0731007 0.921696i
261261 −2.10295 3.64242i −0.130170 0.225460i
262262 16.1770 + 16.1871i 0.999419 + 1.00004i
263263 −8.46144 + 14.6556i −0.521755 + 0.903705i 0.477925 + 0.878401i 0.341389π0.341389\pi
−0.999680 + 0.0253049i 0.991944π0.991944\pi
264264 −24.8594 6.68606i −1.52999 0.411499i
265265 11.2078 5.34611i 0.688488 0.328409i
266266 −2.27593 + 1.33776i −0.139546 + 0.0820233i
267267 8.87631 0.543221
268268 −0.00362968 + 5.80243i −0.000221718 + 0.354440i
269269 −0.516112 0.297978i −0.0314679 0.0181680i 0.484184 0.874966i 0.339117π-0.339117\pi
−0.515651 + 0.856798i 0.672450π0.672450\pi
270270 16.8066 + 5.95706i 1.02282 + 0.362535i
271271 7.12334 + 12.3380i 0.432712 + 0.749479i 0.997106 0.0760266i 0.0242234π-0.0242234\pi
−0.564394 + 0.825506i 0.690890π0.690890\pi
272272 −5.09271 8.84638i −0.308791 0.536390i
273273 9.15006 9.29958i 0.553787 0.562836i
274274 −14.6241 3.92343i −0.883476 0.237023i
275275 −4.81158 + 30.3869i −0.290149 + 1.83240i
276276 2.90610 + 5.04080i 0.174927 + 0.303421i
277277 20.0576 + 11.5802i 1.20514 + 0.695789i 0.961694 0.274124i 0.0883880π-0.0883880\pi
0.243448 + 0.969914i 0.421721π0.421721\pi
278278 22.0813 5.90926i 1.32435 0.354414i
279279 5.52458 0.330748
280280 −16.6906 1.19296i −0.997455 0.0712932i
281281 −6.58882 −0.393056 −0.196528 0.980498i 0.562967π-0.562967\pi
−0.196528 + 0.980498i 0.562967π0.562967\pi
282282 8.82916 2.36281i 0.525769 0.140703i
283283 −23.2154 13.4034i −1.38001 0.796751i −0.387852 0.921722i 0.626783π-0.626783\pi
−0.992160 + 0.124971i 0.960116π0.960116\pi
284284 −3.36719 5.84058i −0.199806 0.346574i
285285 1.92326 + 1.32176i 0.113924 + 0.0782943i
286286 −28.0180 7.51681i −1.65674 0.444478i
287287 6.48905 + 1.68249i 0.383036 + 0.0993143i
288288 4.43907 1.18201i 0.261575 0.0696505i
289289 5.24393 + 9.08276i 0.308467 + 0.534280i
290290 5.47170 15.4372i 0.321309 0.906505i
291291 12.1225 + 6.99890i 0.710631 + 0.410283i
292292 −0.00319264 + 5.10377i −0.000186835 + 0.298676i
293293 14.2428 0.832071 0.416036 0.909348i 0.363419π-0.363419\pi
0.416036 + 0.909348i 0.363419π0.363419\pi
294294 −10.5174 10.1883i −0.613390 0.594192i
295295 6.54930 + 13.7302i 0.381315 + 0.799403i
296296 −5.00839 + 18.6216i −0.291107 + 1.08236i
297297 17.3477 30.0471i 1.00662 1.74351i
298298 7.58644 + 7.59119i 0.439471 + 0.439746i
299299 3.27836 + 5.67828i 0.189592 + 0.328384i
300300 5.29277 + 13.8123i 0.305578 + 0.797454i
301301 −3.05385 + 11.7781i −0.176021 + 0.678880i
302302 −2.84529 0.763347i −0.163728 0.0439257i
303303 6.55054 + 11.3459i 0.376319 + 0.651803i
304304 2.82225 + 0.00353089i 0.161867 + 0.000202510i
305305 −0.623384 + 7.92287i −0.0356949 + 0.453662i
306306 2.83106 0.757631i 0.161841 0.0433109i
307307 26.0778i 1.48834i 0.667991 + 0.744169i 0.267154π0.267154\pi
−0.667991 + 0.744169i 0.732846π0.732846\pi
308308 −8.19149 + 31.5119i −0.466754 + 1.79556i
309309 −12.5465 −0.713743
310310 13.9670 + 16.3630i 0.793272 + 0.929353i
311311 −1.47742 + 2.55897i −0.0837770 + 0.145106i −0.904869 0.425689i 0.860032π-0.860032\pi
0.821092 + 0.570795i 0.193365π0.193365\pi
312312 −13.4752 + 3.59713i −0.762884 + 0.203647i
313313 −11.7352 20.3259i −0.663311 1.14889i −0.979740 0.200272i 0.935818π-0.935818\pi
0.316430 0.948616i 0.397516π-0.397516\pi
314314 −4.77893 + 17.8129i −0.269691 + 1.00524i
315315 1.56685 4.54157i 0.0882819 0.255888i
316316 6.22554 10.7674i 0.350214 0.605713i
317317 −11.5127 + 6.64685i −0.646616 + 0.373324i −0.787159 0.616751i 0.788449π-0.788449\pi
0.140542 + 0.990075i 0.455115π0.455115\pi
318318 −8.21167 8.21680i −0.460487 0.460775i
319319 −27.5990 15.9343i −1.54525 0.892148i
320320 14.7236 + 10.1595i 0.823073 + 0.567935i
321321 1.04851i 0.0585224i
322322 6.34437 3.72913i 0.353558 0.207817i
323323 1.80052 0.100183
324324 0.00738687 11.8087i 0.000410382 0.656038i
325325 5.97400 + 15.5610i 0.331378 + 0.863167i
326326 −1.50892 1.50986i −0.0835713 0.0836236i
327327 −3.96119 + 2.28700i −0.219054 + 0.126471i
328328 −5.06270 5.07221i −0.279541 0.280066i
329329 −3.08233 11.1414i −0.169934 0.614248i
330330 28.3009 5.23670i 1.55792 0.288271i
331331 26.5406 15.3232i 1.45880 0.842241i 0.459852 0.887996i 0.347902π-0.347902\pi
0.998953 + 0.0457544i 0.0145692π0.0145692\pi
332332 4.69756 + 8.14818i 0.257812 + 0.447189i
333333 −4.79470 2.76822i −0.262748 0.151698i
334334 7.40416 + 27.6673i 0.405138 + 1.51389i
335335 −2.79298 5.85530i −0.152597 0.319909i
336336 4.15509 + 15.0925i 0.226679 + 0.823364i
337337 16.1059i 0.877346i 0.898647 + 0.438673i 0.144551π0.144551\pi
−0.898647 + 0.438673i 0.855449π0.855449\pi
338338 2.57752 0.689781i 0.140199 0.0375191i
339339 −10.8871 + 18.8570i −0.591305 + 1.02417i
340340 9.40133 + 6.46974i 0.509859 + 0.350871i
341341 36.2520 20.9301i 1.96316 1.13343i
342342 −0.209964 + 0.782618i −0.0113536 + 0.0423191i
343343 −12.7736 + 13.4103i −0.689707 + 0.724088i
344344 9.20647 9.18921i 0.496379 0.495449i
345345 −5.36126 3.68453i −0.288641 0.198369i
346346 −9.73327 9.73936i −0.523264 0.523591i
347347 17.5378 30.3763i 0.941477 1.63069i 0.178820 0.983882i 0.442772π-0.442772\pi
0.762657 0.646803i 0.223895π-0.223895\pi
348348 −15.3220 0.00958459i −0.821344 0.000513788i
349349 20.3154i 1.08746i 0.839261 + 0.543729i 0.182988π0.182988\pi
−0.839261 + 0.543729i 0.817012π0.817012\pi
350350 17.4126 6.84103i 0.930745 0.365668i
351351 18.7974i 1.00333i
352352 24.6509 24.5739i 1.31390 1.30979i
353353 −14.4826 + 25.0845i −0.770829 + 1.33511i 0.166280 + 0.986079i 0.446824π0.446824\pi
−0.937109 + 0.349036i 0.886509π0.886509\pi
354354 10.0661 10.0598i 0.535006 0.534671i
355355 6.21188 + 4.26912i 0.329692 + 0.226582i
356356 −6.00739 + 10.3901i −0.318391 + 0.550673i
357357 2.66288 + 9.62527i 0.140934 + 0.509423i
358358 −9.44937 2.53512i −0.499415 0.133985i
359359 −8.85350 + 5.11157i −0.467270 + 0.269778i −0.715096 0.699026i 0.753617π-0.753617\pi
0.247826 + 0.968804i 0.420284π0.420284\pi
360360 −3.90848 + 3.33195i −0.205995 + 0.175609i
361361 9.25109 16.0234i 0.486900 0.843335i
362362 8.62565 + 32.2317i 0.453354 + 1.69406i
363363 39.7314i 2.08536i
364364 4.69289 + 17.0044i 0.245974 + 0.891271i
365365 −2.45668 5.15028i −0.128589 0.269578i
366366 7.18207 1.92202i 0.375413 0.100466i
367367 24.4416 + 14.1114i 1.27584 + 0.736608i 0.976081 0.217406i 0.0697597π-0.0697597\pi
0.299761 + 0.954014i 0.403093π0.403093\pi
368368 −7.86728 0.00984269i −0.410111 0.000513086i
369369 1.78190 1.02878i 0.0927620 0.0535561i
370370 −3.92270 21.1996i −0.203931 1.10212i
371371 −10.3047 + 10.4731i −0.534994 + 0.543737i
372372 10.0738 17.4232i 0.522304 0.903351i
373373 −11.1106 + 6.41470i −0.575285 + 0.332141i −0.759257 0.650791i 0.774438π-0.774438\pi
0.183973 + 0.982931i 0.441104π0.441104\pi
374374 15.7069 15.6971i 0.812187 0.811679i
375375 −11.9966 11.3830i −0.619503 0.587816i
376376 −3.20971 + 11.9340i −0.165528 + 0.615450i
377377 −17.2659 −0.889239
378378 −21.0974 + 0.164387i −1.08513 + 0.00845515i
379379 18.2296i 0.936394i −0.883624 0.468197i 0.844904π-0.844904\pi
0.883624 0.468197i 0.155096π-0.155096\pi
380380 −2.84881 + 1.35670i −0.146141 + 0.0695971i
381381 −5.73977 3.31386i −0.294058 0.169774i
382382 −10.8600 + 10.8532i −0.555647 + 0.555300i
383383 −29.2023 + 16.8600i −1.49217 + 0.861504i −0.999960 0.00897238i 0.997144π-0.997144\pi
−0.492210 + 0.870477i 0.663811π0.663811\pi
384384 4.36668 16.1551i 0.222836 0.824412i
385385 −6.92436 35.7376i −0.352898 1.82136i
386386 10.3706 + 2.78226i 0.527848 + 0.141613i
387387 1.86732 + 3.23429i 0.0949210 + 0.164408i
388388 −16.3968 + 9.45305i −0.832424 + 0.479906i
389389 −17.3437 + 30.0401i −0.879360 + 1.52310i −0.0273150 + 0.999627i 0.508696π0.508696\pi
−0.852045 + 0.523469i 0.824638π0.824638\pi
390390 11.8602 10.1236i 0.600565 0.512627i
391391 −5.01911 −0.253827
392392 19.0439 5.41579i 0.961861 0.273539i
393393 23.9360i 1.20741i
394394 4.94615 + 18.4824i 0.249184 + 0.931130i
395395 −1.09075 + 13.8628i −0.0548816 + 0.697515i
396396 4.99132 + 8.65772i 0.250823 + 0.435067i
397397 −14.2787 24.7314i −0.716627 1.24124i −0.962328 0.271890i 0.912351π-0.912351\pi
0.245701 0.969346i 0.420982π-0.420982\pi
398398 −1.67100 + 6.22848i −0.0837598 + 0.312205i
399399 −2.67284 0.693018i −0.133809 0.0346943i
400400 −19.7500 3.15261i −0.987498 0.157631i
401401 −1.67926 2.90857i −0.0838583 0.145247i 0.821046 0.570862i 0.193391π-0.193391\pi
−0.904904 + 0.425615i 0.860058π0.860058\pi
402402 −4.29272 + 4.29004i −0.214102 + 0.213968i
403403 11.3396 19.6408i 0.564867 0.978378i
404404 −17.7141 0.0110810i −0.881311 0.000551300i
405405 5.68407 + 11.9163i 0.282444 + 0.592125i
406406 0.150993 + 19.3784i 0.00749367 + 0.961736i
407407 −41.9501 −2.07939
408408 2.77292 10.3100i 0.137280 0.510420i
409409 −6.05900 3.49816i −0.299598 0.172973i 0.342664 0.939458i 0.388671π-0.388671\pi
−0.642262 + 0.766485i 0.722004π0.722004\pi
410410 7.55200 + 2.67679i 0.372967 + 0.132197i
411411 −7.91835 13.7150i −0.390583 0.676510i
412412 8.49130 14.6861i 0.418336 0.723534i
413413 −12.8302 12.6239i −0.631332 0.621181i
414414 0.585295 2.18162i 0.0287657 0.107221i
415415 −8.66618 5.95585i −0.425406 0.292361i
416416 4.90930 18.2078i 0.240698 0.892711i
417417 20.7051 + 11.9541i 1.01393 + 0.585394i
418418 1.58721 + 5.93096i 0.0776329 + 0.290093i
419419 10.0657 0.491743 0.245871 0.969302i 0.420926π-0.420926\pi
0.245871 + 0.969302i 0.420926π0.420926\pi
420420 −11.4659 13.2228i −0.559481 0.645207i
421421 −8.08361 −0.393971 −0.196985 0.980406i 0.563115π-0.563115\pi
−0.196985 + 0.980406i 0.563115π0.563115\pi
422422 −3.90470 14.5908i −0.190078 0.710269i
423423 −3.07277 1.77406i −0.149403 0.0862579i
424424 15.1757 4.05105i 0.736996 0.196736i
425425 −12.6024 1.99551i −0.611308 0.0967966i
426426 1.82715 6.81048i 0.0885255 0.329969i
427427 −2.50732 9.06300i −0.121338 0.438589i
428428 1.22733 + 0.709623i 0.0593252 + 0.0343009i
429429 −15.1706 26.2762i −0.732443 1.26863i
430430 −4.85859 + 13.7075i −0.234302 + 0.661033i
431431 −1.70089 0.982009i −0.0819290 0.0473017i 0.458476 0.888707i 0.348396π-0.348396\pi
−0.540405 + 0.841405i 0.681729π0.681729\pi
432432 19.5188 + 11.3018i 0.939101 + 0.543758i
433433 32.6523 1.56917 0.784584 0.620022i 0.212877π-0.212877\pi
0.784584 + 0.620022i 0.212877π0.212877\pi
434434 −22.1431 12.5553i −1.06290 0.602674i
435435 15.4616 7.37518i 0.741326 0.353613i
436436 0.00386872 6.18455i 0.000185278 0.296186i
437437 0.693858 1.20180i 0.0331917 0.0574898i
438438 −3.77585 + 3.77349i −0.180417 + 0.180304i
439439 −12.2319 21.1863i −0.583797 1.01117i −0.995024 0.0996329i 0.968233π-0.968233\pi
0.411228 0.911533i 0.365100π-0.365100\pi
440440 −13.0240 + 36.6716i −0.620895 + 1.74825i
441441 0.0921348 + 5.68372i 0.00438737 + 0.270654i
442442 3.11746 11.6200i 0.148282 0.552706i
443443 −18.7990 32.5609i −0.893169 1.54701i −0.836054 0.548647i 0.815143π-0.815143\pi
−0.0571150 0.998368i 0.518190π-0.518190\pi
444444 −17.4732 + 10.0736i −0.829242 + 0.478072i
445445 1.05253 13.3770i 0.0498946 0.634133i
446446 −4.00999 14.9842i −0.189879 0.709525i
447447 11.2251i 0.530930i
448448 −20.4785 5.35074i −0.967519 0.252798i
449449 30.2759 1.42881 0.714404 0.699733i 0.246698π-0.246698\pi
0.714404 + 0.699733i 0.246698π0.246698\pi
450450 2.33699 5.24511i 0.110167 0.247257i
451451 7.79515 13.5016i 0.367059 0.635766i
452452 −14.7046 25.5060i −0.691646 1.19970i
453453 −1.54060 2.66841i −0.0723839 0.125373i
454454 15.3795 + 4.12609i 0.721797 + 0.193647i
455455 −12.9300 14.8923i −0.606166 0.698163i
456456 2.08533 + 2.08925i 0.0976544 + 0.0978379i
457457 −23.0145 + 13.2874i −1.07657 + 0.621559i −0.929969 0.367637i 0.880167π-0.880167\pi
−0.146602 + 0.989196i 0.546834π0.546834\pi
458458 7.12419 7.11974i 0.332892 0.332683i
459459 12.4615 + 7.19464i 0.581652 + 0.335817i
460460 7.94134 3.78192i 0.370267 0.176333i
461461 26.3218i 1.22593i 0.790110 + 0.612965i 0.210023π0.210023\pi
−0.790110 + 0.612965i 0.789977π0.789977\pi
462462 −29.3586 + 17.2566i −1.36588 + 0.802848i
463463 33.8611 1.57366 0.786830 0.617169i 0.211721π-0.211721\pi
0.786830 + 0.617169i 0.211721π0.211721\pi
464464 10.3810 17.9285i 0.481924 0.832310i
465465 −1.76499 + 22.4321i −0.0818495 + 1.04026i
466466 5.62784 5.62432i 0.260705 0.260542i
467467 18.0343 10.4121i 0.834526 0.481814i −0.0208739 0.999782i 0.506645π-0.506645\pi
0.855400 + 0.517968i 0.173312π0.173312\pi
468468 4.68724 + 2.71009i 0.216668 + 0.125274i
469469 5.47149 + 5.38351i 0.252650 + 0.248588i
470470 −2.51393 13.5862i −0.115959 0.626683i
471471 −16.7056 + 9.64495i −0.769751 + 0.444416i
472472 4.96278 + 18.5911i 0.228430 + 0.855725i
473473 24.5065 + 14.1488i 1.12681 + 0.650563i
474474 12.5666 3.36301i 0.577205 0.154468i
475475 2.22001 2.74171i 0.101861 0.125798i
476476 −13.0690 3.39727i −0.599016 0.155714i
477477 4.50964i 0.206482i
478478 −6.92035 25.8594i −0.316529 1.18278i
479479 −2.62335 + 4.54378i −0.119864 + 0.207611i −0.919714 0.392590i 0.871579π-0.871579\pi
0.799850 + 0.600200i 0.204913π0.204913\pi
480480 3.38124 + 18.4021i 0.154332 + 0.839936i
481481 −19.6830 + 11.3640i −0.897466 + 0.518152i
482482 6.43873 + 1.72741i 0.293276 + 0.0786814i
483483 7.45080 + 1.93185i 0.339023 + 0.0879024i
484484 46.5073 + 26.8898i 2.11397 + 1.22226i
485485 11.9851 17.4392i 0.544218 0.791875i
486486 −8.18510 + 8.17998i −0.371283 + 0.371051i
487487 5.99236 10.3791i 0.271540 0.470321i −0.697716 0.716374i 0.745800π-0.745800\pi
0.969256 + 0.246053i 0.0791338π0.0791338\pi
488488 −2.61094 + 9.70771i −0.118192 + 0.439447i
489489 2.23264i 0.100963i
490490 −16.6014 + 14.6422i −0.749973 + 0.661468i
491491 22.8018i 1.02903i 0.857481 + 0.514515i 0.172028π0.172028\pi
−0.857481 + 0.514515i 0.827972π0.827972\pi
492492 0.00468885 7.49561i 0.000211390 0.337928i
493493 6.60845 11.4462i 0.297630 0.515509i
494494 2.35137 + 2.35284i 0.105793 + 0.105859i
495495 −9.20812 6.32830i −0.413874 0.284436i
496496 13.5767 + 23.5837i 0.609613 + 1.05894i
497497 −8.63295 2.23836i −0.387241 0.100404i
498498 −2.54905 + 9.50129i −0.114226 + 0.425763i
499499 −18.0567 + 10.4251i −0.808330 + 0.466689i −0.846376 0.532587i 0.821220π-0.821220\pi
0.0380458 + 0.999276i 0.487887π0.487887\pi
500500 21.4435 6.33865i 0.958980 0.283473i
501501 −14.9782 + 25.9430i −0.669176 + 1.15905i
502502 −32.4571 + 8.68597i −1.44863 + 0.387674i
503503 18.5545i 0.827305i 0.910435 + 0.413653i 0.135747π0.135747\pi
−0.910435 + 0.413653i 0.864253π0.864253\pi
504504 3.00069 5.28444i 0.133661 0.235388i
505505 17.8755 8.52663i 0.795451 0.379430i
506506 −4.42449 16.5331i −0.196693 0.734987i
507507 2.41688 + 1.39538i 0.107337 + 0.0619712i
508508 7.76362 4.47586i 0.344455 0.198584i
509509 29.7157 17.1564i 1.31713 0.760443i 0.333860 0.942623i 0.391649π-0.391649\pi
0.983265 + 0.182180i 0.0583153π0.0583153\pi
510510 2.17183 + 11.7373i 0.0961700 + 0.519736i
511511 4.81268 + 4.73530i 0.212900 + 0.209477i
512512 15.9549 + 16.0450i 0.705114 + 0.709094i
513513 −3.44543 + 1.98922i −0.152119 + 0.0878262i
514514 15.2347 + 15.2442i 0.671974 + 0.672394i
515515 −1.48772 + 18.9081i −0.0655570 + 0.833192i
516516 13.6051 + 0.00851063i 0.598933 + 0.000374660i
517517 −26.8845 −1.18238
518518 12.9265 + 21.9919i 0.567958 + 0.966267i
519519 14.4016i 0.632161i
520520 3.82320 + 20.7344i 0.167658 + 0.909263i
521521 −18.3115 10.5722i −0.802242 0.463175i 0.0420126 0.999117i 0.486623π-0.486623\pi
−0.844254 + 0.535943i 0.819956π0.819956\pi
522522 4.20459 + 4.20722i 0.184030 + 0.184145i
523523 −3.44125 + 1.98681i −0.150475 + 0.0868769i −0.573347 0.819313i 0.694355π-0.694355\pi
0.422872 + 0.906189i 0.361022π0.361022\pi
524524 −28.0180 16.1996i −1.22397 0.707683i
525525 17.9401 + 7.81298i 0.782968 + 0.340987i
526526 6.20143 23.1151i 0.270395 1.00787i
527527 8.68039 + 15.0349i 0.378124 + 0.654929i
528528 36.4058 + 0.0455470i 1.58436 + 0.00198218i
529529 9.56580 16.5685i 0.415905 0.720368i
530530 −13.3569 + 11.4011i −0.580185 + 0.495231i
531531 −5.52458 −0.239747
532532 2.62015 2.65964i 0.113598 0.115310i
533533 8.44659i 0.365863i
534534 −12.1263 + 3.24516i −0.524755 + 0.140432i
535535 −1.58016 0.124330i −0.0683165 0.00537525i
536536 −2.11640 7.92826i −0.0914145 0.342449i
537537 −5.11643 8.86192i −0.220790 0.382420i
538538 0.814022 + 0.218389i 0.0350950 + 0.00941543i
539539 22.1376 + 36.9473i 0.953535 + 1.59143i
540540 −25.1380 1.99372i −1.08177 0.0857962i
541541 −14.6794 25.4255i −0.631117 1.09313i −0.987324 0.158719i 0.949263π-0.949263\pi
0.356207 0.934407i 0.384070π-0.384070\pi
542542 −14.2422 14.2511i −0.611756 0.612138i
543543 −17.4492 + 30.2229i −0.748816 + 1.29699i
544544 10.1916 + 10.2235i 0.436960 + 0.438329i
545545 2.97691 + 6.24090i 0.127517 + 0.267331i
546546 −9.10035 + 16.0498i −0.389459 + 0.686867i
547547 −1.50735 −0.0644495 −0.0322248 0.999481i 0.510259π-0.510259\pi
−0.0322248 + 0.999481i 0.510259π0.510259\pi
548548 21.4130 + 0.0133948i 0.914718 + 0.000572198i
549549 −2.49954 1.44311i −0.106678 0.0615904i
550550 −4.53612 43.2719i −0.193421 1.84512i
551551 1.82715 + 3.16471i 0.0778390 + 0.134821i
552552 −5.81305 5.82397i −0.247420 0.247885i
553553 −4.38712 15.8577i −0.186559 0.674340i
554554 −31.6352 8.48722i −1.34405 0.360588i
555555 12.7719 18.5840i 0.542138 0.788849i
556556 −28.0057 + 16.1458i −1.18771 + 0.684733i
557557 39.5927 + 22.8589i 1.67760 + 0.968562i 0.963186 + 0.268837i 0.0866392π0.0866392\pi
0.714412 + 0.699725i 0.246694π0.246694\pi
558558 −7.54735 + 2.01978i −0.319505 + 0.0855040i
559559 15.3312 0.648442
560560 23.2379 4.47230i 0.981979 0.188989i
561561 23.2259 0.980599
562562 9.00124 2.40886i 0.379695 0.101612i
563563 15.9077 + 9.18431i 0.670429 + 0.387072i 0.796239 0.604982i 0.206820π-0.206820\pi
−0.125810 + 0.992054i 0.540153π0.540153\pi
564564 −11.1980 + 6.45585i −0.471522 + 0.271840i
565565 27.1274 + 18.6434i 1.14126 + 0.784333i
566566 36.6158 + 9.82344i 1.53907 + 0.412910i
567567 −11.1352 10.9561i −0.467633 0.460114i
568568 6.73536 + 6.74801i 0.282609 + 0.283140i
569569 4.58078 + 7.93415i 0.192036 + 0.332617i 0.945925 0.324385i 0.105157π-0.105157\pi
−0.753889 + 0.657002i 0.771824π0.771824\pi
570570 −3.11067 1.10257i −0.130292 0.0461816i
571571 −12.5753 7.26034i −0.526259 0.303836i 0.213233 0.977001i 0.431601π-0.431601\pi
−0.739492 + 0.673166i 0.764934π0.764934\pi
572572 41.0247 + 0.0256628i 1.71533 + 0.00107302i
573573 −16.0588 −0.670864
574574 −9.48006 + 0.0738669i −0.395690 + 0.00308315i
575575 −6.18850 + 7.64279i −0.258078 + 0.318726i
576576 −5.63225 + 3.23771i −0.234677 + 0.134904i
577577 7.87411 13.6384i 0.327804 0.567772i −0.654272 0.756259i 0.727025π-0.727025\pi
0.982076 + 0.188487i 0.0603582π0.0603582\pi
578578 −10.4846 10.4911i −0.436101 0.436374i
579579 5.61523 + 9.72586i 0.233361 + 0.404193i
580580 −1.83128 + 23.0899i −0.0760398 + 0.958754i
581581 12.0438 + 3.12274i 0.499661 + 0.129553i
582582 −19.1198 5.12953i −0.792539 0.212626i
583583 17.0850 + 29.5921i 0.707588 + 1.22558i
584584 −1.86157 6.97364i −0.0770323 0.288571i
585585 −6.03473 0.474823i −0.249506 0.0196315i
586586 −19.4576 + 5.20713i −0.803787 + 0.215105i
587587 21.3535i 0.881355i 0.897665 + 0.440678i 0.145262π0.145262\pi
−0.897665 + 0.440678i 0.854738π0.854738\pi
588588 18.0931 + 10.0734i 0.746147 + 0.415422i
589589 −4.80002 −0.197781
590590 −13.9670 16.3630i −0.575012 0.673652i
591591 −10.0058 + 17.3305i −0.411582 + 0.712881i
592592 0.0341183 27.2708i 0.00140225 1.12082i
593593 −9.12440 15.8039i −0.374694 0.648990i 0.615587 0.788069i 0.288919π-0.288919\pi
−0.990281 + 0.139079i 0.955586π0.955586\pi
594594 −12.7142 + 47.3908i −0.521671 + 1.94447i
595595 14.8215 2.87175i 0.607623 0.117730i
596596 −13.1395 7.59704i −0.538213 0.311187i
597597 −5.84127 + 3.37246i −0.239067 + 0.138025i
598598 −6.55466 6.55877i −0.268040 0.268208i
599599 37.6528 + 21.7389i 1.53845 + 0.888226i 0.998930 + 0.0462544i 0.0147285π0.0147285\pi
0.539522 + 0.841971i 0.318605π0.318605\pi
600600 −12.2804 16.9345i −0.501346 0.691349i
601601 0.772217i 0.0314994i −0.999876 0.0157497i 0.994987π-0.994987\pi
0.999876 0.0157497i 0.00501349π-0.00501349\pi
602602 −0.134074 17.2071i −0.00546446 0.701307i
603603 2.35598 0.0959430
604604 4.16614 + 0.00260611i 0.169518 + 0.000106041i
605605 −59.8773 4.71124i −2.43436 0.191539i
606606 −13.0970 13.1052i −0.532029 0.532361i
607607 −4.78567 + 2.76301i −0.194245 + 0.112147i −0.593968 0.804489i 0.702439π-0.702439\pi
0.399724 + 0.916636i 0.369106π0.369106\pi
608608 −3.85687 + 1.02698i −0.156417 + 0.0416497i
609609 −14.2158 + 14.4481i −0.576052 + 0.585466i
610610 −2.04495 11.0516i −0.0827978 0.447468i
611611 −12.6142 + 7.28280i −0.510315 + 0.294630i
612612 −3.59063 + 2.07006i −0.145143 + 0.0836772i
613613 −23.8912 13.7936i −0.964955 0.557117i −0.0672607 0.997735i 0.521426π-0.521426\pi
−0.897695 + 0.440618i 0.854759π0.854759\pi
614614 −9.53399 35.6259i −0.384761 1.43774i
615615 3.60799 + 7.56391i 0.145488 + 0.305006i
616616 −0.329966 46.0444i −0.0132947 1.85518i
617617 13.6354i 0.548941i −0.961595 0.274471i 0.911497π-0.911497\pi
0.961595 0.274471i 0.0885026π-0.0885026\pi
618618 17.1402 4.58696i 0.689480 0.184515i
619619 18.4295 31.9208i 0.740744 1.28301i −0.211413 0.977397i 0.567807π-0.567807\pi
0.952157 0.305609i 0.0988601π-0.0988601\pi
620620 −25.0631 17.2478i −1.00656 0.692687i
621621 9.60447 5.54514i 0.385414 0.222519i
622622 1.08281 4.03606i 0.0434168 0.161831i
623623 4.23338 + 15.3021i 0.169607 + 0.613064i
624624 17.0939 9.84069i 0.684305 0.393943i
625625 −18.5773 + 16.7297i −0.743091 + 0.669190i
626626 23.4630 + 23.4777i 0.937769 + 0.938356i
627627 −3.21083 + 5.56131i −0.128228 + 0.222097i
628628 0.0163156 26.0821i 0.000651062 1.04079i
629629 17.3980i 0.693705i
630630 −0.480144 + 6.77726i −0.0191294 + 0.270012i
631631 16.3105i 0.649312i −0.945832 0.324656i 0.894751π-0.894751\pi
0.945832 0.324656i 0.105249π-0.105249\pi
632632 −4.56842 + 16.9858i −0.181722 + 0.675659i
633633 7.89898 13.6814i 0.313956 0.543788i
634634 13.2978 13.2895i 0.528125 0.527795i
635635 −5.67476 + 8.25718i −0.225196 + 0.327676i
636636 14.2223 + 8.22313i 0.563952 + 0.326068i
637637 20.3957 + 11.3387i 0.808107 + 0.449256i
638638 43.5296 + 11.6783i 1.72335 + 0.462349i
639639 −2.37062 + 1.36868i −0.0937801 + 0.0541440i
640640 −23.8288 8.49644i −0.941915 0.335851i
641641 10.7109 18.5519i 0.423057 0.732756i −0.573180 0.819430i 0.694290π-0.694290\pi
0.996237 + 0.0866736i 0.0276237π0.0276237\pi
642642 0.383335 + 1.43242i 0.0151290 + 0.0565330i
643643 38.3710i 1.51320i −0.653876 0.756601i 0.726858π-0.726858\pi
0.653876 0.756601i 0.273142π-0.273142\pi
644644 −7.30393 + 7.41401i −0.287815 + 0.292153i
645645 −13.7291 + 6.54878i −0.540583 + 0.257858i
646646 −2.45976 + 0.658265i −0.0967778 + 0.0258991i
647647 −31.0838 17.9463i −1.22203 0.705540i −0.256681 0.966496i 0.582629π-0.582629\pi
−0.965351 + 0.260956i 0.915962π0.915962\pi
648648 4.30714 + 16.1350i 0.169201 + 0.633843i
649649 −36.2520 + 20.9301i −1.42302 + 0.821579i
650650 −13.8504 19.0744i −0.543257 0.748158i
651651 −7.09899 25.6601i −0.278231 1.00570i
652652 2.61340 + 1.51103i 0.102349 + 0.0591763i
653653 23.6657 13.6634i 0.926110 0.534690i 0.0405310 0.999178i 0.487095π-0.487095\pi
0.885579 + 0.464488i 0.153762π0.153762\pi
654654 4.57542 4.57256i 0.178913 0.178801i
655655 36.0727 + 2.83826i 1.40948 + 0.110900i
656656 8.77075 + 5.07844i 0.342440 + 0.198280i
657657 2.07230 0.0808483
658658 8.28419 + 14.0939i 0.322951 + 0.549436i
659659 22.7714i 0.887046i −0.896263 0.443523i 0.853728π-0.853728\pi
0.896263 0.443523i 0.146272π-0.146272\pi
660660 −36.7485 + 17.5008i −1.43043 + 0.681219i
661661 35.2100 + 20.3285i 1.36951 + 0.790686i 0.990865 0.134857i 0.0430573π-0.0430573\pi
0.378643 + 0.925543i 0.376391π0.376391\pi
662662 −30.6561 + 30.6369i −1.19148 + 1.19074i
663663 10.8976 6.29173i 0.423227 0.244350i
664664 −9.39648 9.41413i −0.364654 0.365339i
665665 −1.36135 + 3.94593i −0.0527909 + 0.153017i
666666 7.56228 + 2.02884i 0.293033 + 0.0786161i
667667 −5.09334 8.82193i −0.197215 0.341587i
668668 −20.2302 35.0905i −0.782732 1.35769i
669669 8.11198 14.0504i 0.313627 0.543218i
670670 5.95629 + 6.97805i 0.230111 + 0.269586i
671671 −21.8691 −0.844249
672672 −11.1942 19.0994i −0.431827 0.736774i
673673 37.5436i 1.44720i 0.690220 + 0.723599i 0.257514π0.257514\pi
−0.690220 + 0.723599i 0.742486π0.742486\pi
674674 −5.88830 22.0030i −0.226809 0.847522i
675675 26.3204 10.1047i 1.01307 0.388929i
676676 −3.26907 + 1.88467i −0.125734 + 0.0724874i
677677 5.33668 + 9.24340i 0.205105 + 0.355253i 0.950166 0.311744i 0.100913π-0.100913\pi
−0.745061 + 0.666996i 0.767580π0.767580\pi
678678 7.97919 29.7415i 0.306439 1.14222i
679679 −6.28399 + 24.2361i −0.241157 + 0.930098i
680680 −15.2089 5.40146i −0.583233 0.207137i
681681 8.32736 + 14.4234i 0.319105 + 0.552707i
682682 −41.8733 + 41.8472i −1.60341 + 1.60241i
683683 8.06776 13.9738i 0.308704 0.534691i −0.669375 0.742925i 0.733438π-0.733438\pi
0.978079 + 0.208233i 0.0667714π0.0667714\pi
684684 0.000716830 1.14593i 2.74087e−5 0.0438157i
685685 −21.6081 + 10.3071i −0.825604 + 0.393813i
686686 12.5477 22.9903i 0.479073 0.877775i
687687 10.5346 0.401919
688688 −9.21776 + 15.9196i −0.351424 + 0.606929i
689689 16.0325 + 9.25638i 0.610791 + 0.352640i
690690 8.67129 + 3.07352i 0.330110 + 0.117007i
691691 10.1615 + 17.6003i 0.386562 + 0.669546i 0.991985 0.126359i 0.0403291π-0.0403291\pi
−0.605422 + 0.795904i 0.706996π0.706996\pi
692692 16.8577 + 9.74686i 0.640834 + 0.370520i
693693 12.7970 + 3.31802i 0.486117 + 0.126041i
694694 −12.8535 + 47.9100i −0.487913 + 1.81864i
695695 20.4706 29.7861i 0.776493 1.12985i
696696 20.9355 5.58859i 0.793557 0.211835i
697697 5.59954 + 3.23290i 0.212098 + 0.122455i
698698 −7.42727 27.7537i −0.281126 1.05049i
699699 8.32191 0.314764
700700 −21.2870 + 15.7118i −0.804575 + 0.593851i
701701 5.55111 0.209663 0.104831 0.994490i 0.466570π-0.466570\pi
0.104831 + 0.994490i 0.466570π0.466570\pi
702702 6.87231 + 25.6799i 0.259379 + 0.969227i
703703 4.16586 + 2.40516i 0.157118 + 0.0907123i
704704 −24.6924 + 42.5837i −0.930629 + 1.60493i
705705 8.18511 11.9099i 0.308269 0.448553i
706706 10.6143 39.5638i 0.399476 1.48900i
707707 −16.4352 + 16.7038i −0.618110 + 0.628211i
708708 −10.0738 + 17.4232i −0.378598 + 0.654804i
709709 −1.13330 1.96293i −0.0425619 0.0737194i 0.843960 0.536407i 0.180219π-0.180219\pi
−0.886522 + 0.462687i 0.846885π0.846885\pi
710710 −10.0471 3.56117i −0.377060 0.133648i
711711 −4.37351 2.52504i −0.164019 0.0946966i
712712 4.40834 16.3906i 0.165209 0.614264i
713713 13.3805 0.501104
714714 −7.15684 12.1759i −0.267838 0.455672i
715715 −41.3985 + 19.7471i −1.54822 + 0.738499i
716716 13.8360 + 0.00865504i 0.517075 + 0.000323454i
717717 13.9995 24.2478i 0.522819 0.905549i
718718 10.2263 10.2199i 0.381643 0.381405i
719719 −2.78544 4.82453i −0.103880 0.179925i 0.809400 0.587257i 0.199792π-0.199792\pi
−0.913280 + 0.407333i 0.866459π0.866459\pi
720720 4.12137 5.98085i 0.153595 0.222893i
721721 −5.98379 21.6291i −0.222848 0.805510i
722722 −6.78017 + 25.2723i −0.252332 + 0.940539i
723723 3.48630 + 6.03845i 0.129657 + 0.224572i
724724 −23.5677 40.8795i −0.875886 1.51927i
725725 −9.28137 24.1759i −0.344701 0.897871i
726726 14.5257 + 54.2787i 0.539101 + 2.01447i
727727 31.2822i 1.16019i −0.814548 0.580097i 0.803015π-0.803015\pi
0.814548 0.580097i 0.196985π-0.196985\pi
728728 −12.6279 21.5146i −0.468021 0.797386i
729729 −29.8164 −1.10431
730730 5.23910 + 6.13784i 0.193908 + 0.227172i
731731 −5.86796 + 10.1636i −0.217034 + 0.375915i
732732 −9.10902 + 5.25150i −0.336679 + 0.194101i
733733 10.5369 + 18.2504i 0.389187 + 0.674092i 0.992340 0.123533i 0.0394225π-0.0394225\pi
−0.603153 + 0.797626i 0.706089π0.706089\pi
734734 −38.5498 10.3423i −1.42290 0.381741i
735735 −23.1077 1.44173i −0.852340 0.0531790i
736736 10.7514 2.86282i 0.396302 0.105525i
737737 15.4598 8.92574i 0.569471 0.328784i
738738 −2.05820 + 2.05692i −0.0757635 + 0.0757161i
739739 −33.6932 19.4528i −1.23943 0.715583i −0.270449 0.962734i 0.587172π-0.587172\pi
−0.968977 + 0.247152i 0.920505π0.920505\pi
740740 13.1095 + 27.5275i 0.481915 + 1.01193i
741741 3.47915i 0.127810i
742742 10.2487 18.0751i 0.376243 0.663558i
743743 15.9696 0.585867 0.292934 0.956133i 0.405368π-0.405368\pi
0.292934 + 0.956133i 0.405368π0.405368\pi
744744 −7.39237 + 27.4855i −0.271017 + 1.00767i
745745 16.9168 + 1.33104i 0.619785 + 0.0487657i
746746 12.8334 12.8254i 0.469865 0.469571i
747747 3.30724 1.90944i 0.121006 0.0698626i
748748 −15.7190 + 27.1869i −0.574745 + 0.994051i
749749 1.80756 0.500069i 0.0660467 0.0182721i
750750 20.5507 + 11.1648i 0.750404 + 0.407682i
751751 −16.3642 + 9.44785i −0.597137 + 0.344757i −0.767914 0.640553i 0.778705π-0.778705\pi
0.170778 + 0.985310i 0.445372π0.445372\pi
752752 0.0218653 17.4770i 0.000797346 0.637320i
753753 −30.4342 17.5712i −1.10908 0.640330i
754754 23.5876 6.31238i 0.859011 0.229883i
755755 −4.20410 + 2.00536i −0.153003 + 0.0729824i
756756 28.7619 7.93774i 1.04606 0.288693i
757757 21.9755i 0.798714i −0.916796 0.399357i 0.869233π-0.869233\pi
0.916796 0.399357i 0.130767π-0.130767\pi
758758 6.66473 + 24.9042i 0.242074 + 0.904563i
759759 8.95048 15.5027i 0.324882 0.562712i
760760 3.39587 2.89496i 0.123181 0.105011i
761761 −44.7044 + 25.8101i −1.62053 + 0.935616i −0.633757 + 0.773532i 0.718488π0.718488\pi
−0.986777 + 0.162084i 0.948179π0.948179\pi
762762 9.05287 + 2.42875i 0.327951 + 0.0879842i
763763 −5.83182 5.73805i −0.211126 0.207731i
764764 10.8684 18.7974i 0.393205 0.680068i
765765 2.62455 3.81890i 0.0948906 0.138073i
766766 33.7305 33.7094i 1.21873 1.21797i
767767 −11.3396 + 19.6408i −0.409450 + 0.709188i
768768 −0.0592182 + 23.6666i −0.00213685 + 0.853994i
769769 16.7704i 0.604756i −0.953188 0.302378i 0.902220π-0.902220\pi
0.953188 0.302378i 0.0977805π-0.0977805\pi
770770 22.5252 + 46.2911i 0.811754 + 1.66821i
771771 22.5417i 0.811819i
772772 −15.1848 0.00949881i −0.546514 0.000341870i
773773 −13.1290 + 22.7401i −0.472217 + 0.817903i −0.999495 0.0317896i 0.989879π-0.989879\pi
0.527278 + 0.849693i 0.323213π0.323213\pi
774774 −3.73346 3.73580i −0.134197 0.134281i
775775 33.5970 + 5.31986i 1.20684 + 0.191095i
776776 18.9444 18.9088i 0.680063 0.678788i
777777 −6.69650 + 25.8271i −0.240236 + 0.926543i
778778 12.7113 47.3799i 0.455721 1.69865i
779779 −1.54820 + 0.893852i −0.0554699 + 0.0320256i
780780 −12.5015 + 18.1663i −0.447627 + 0.650457i
781781 −10.3706 + 17.9624i −0.371088 + 0.642744i
782782 6.85681 1.83498i 0.245199 0.0656187i
783783 29.2042i 1.04367i
784784 −24.0366 + 14.3611i −0.858450 + 0.512897i
785785 12.5545 + 26.3198i 0.448091 + 0.939393i
786786 −8.75095 32.6999i −0.312136 1.16637i
787787 −25.8693 14.9357i −0.922141 0.532398i −0.0378237 0.999284i 0.512043π-0.512043\pi
−0.884318 + 0.466886i 0.845376π0.845376\pi
788788 −13.5143 23.4413i −0.481426 0.835060i
789789 21.6781 12.5159i 0.771762 0.445577i
790790 −3.57811 19.3373i −0.127303 0.687992i
791791 −37.7003 9.77499i −1.34047 0.347559i
792792 −9.98409 10.0028i −0.354769 0.355436i
793793 −10.2610 + 5.92419i −0.364378 + 0.210374i
794794 28.5485 + 28.5663i 1.01315 + 1.01378i
795795 −18.3110 1.44074i −0.649424 0.0510978i
796796 0.00570490 9.11988i 0.000202205 0.323246i
797797 −17.1648 −0.608010 −0.304005 0.952670i 0.598324π-0.598324\pi
−0.304005 + 0.952670i 0.598324π0.598324\pi
798798 3.90484 0.0304258i 0.138230 0.00107706i
799799 11.1498i 0.394453i
800800 28.1338 2.91364i 0.994680 0.103013i
801801 4.22025 + 2.43656i 0.149115 + 0.0860917i
802802 3.35747 + 3.35957i 0.118556 + 0.118631i
803803 13.5984 7.85102i 0.479876 0.277056i
804804 4.29603 7.43020i 0.151509 0.262043i
805805 3.79490 10.9997i 0.133753 0.387687i
806806 −8.31087 + 30.9778i −0.292738 + 1.09115i
807807 0.440758 + 0.763416i 0.0155154 + 0.0268735i
808808 24.2040 6.46112i 0.851495 0.227301i
809809 −13.6136 + 23.5795i −0.478630 + 0.829011i −0.999700 0.0245028i 0.992200π-0.992200\pi
0.521070 + 0.853514i 0.325533π0.325533\pi
810810 −12.1218 14.2012i −0.425917 0.498980i
811811 −26.6882 −0.937148 −0.468574 0.883424i 0.655232π-0.655232\pi
−0.468574 + 0.883424i 0.655232π0.655232\pi
812812 −7.29100 26.4184i −0.255864 0.927106i
813813 21.0732i 0.739069i
814814 57.3097 15.3369i 2.00870 0.537557i
815815 −3.36470 0.264740i −0.117860 0.00927345i
816816 −0.0188898 + 15.0987i −0.000661275 + 0.528559i
817817 −1.62241 2.81010i −0.0567610 0.0983130i
818818 9.55636 + 2.56382i 0.334130 + 0.0896420i
819819 6.90315 1.90979i 0.241216 0.0667334i
820820 −11.2957 0.895876i −0.394463 0.0312853i
821821 3.81521 + 6.60813i 0.133152 + 0.230625i 0.924890 0.380235i 0.124157π-0.124157\pi
−0.791738 + 0.610861i 0.790824π0.790824\pi
822822 15.8317 + 15.8417i 0.552196 + 0.552541i
823823 −2.70858 + 4.69139i −0.0944150 + 0.163532i −0.909364 0.416001i 0.863431π-0.863431\pi
0.814949 + 0.579532i 0.196765π0.196765\pi
824824 −6.23108 + 23.1677i −0.217070 + 0.807086i
825825 28.6373 35.3670i 0.997022 1.23132i
826826 22.1431 + 12.5553i 0.770457 + 0.436855i
827827 54.4560 1.89362 0.946810 0.321792i 0.104285π-0.104285\pi
0.946810 + 0.321792i 0.104285π0.104285\pi
828828 −0.00199823 + 3.19438i −6.94434e−5 + 0.111013i
829829 1.41764 + 0.818472i 0.0492365 + 0.0284267i 0.524416 0.851462i 0.324284π-0.324284\pi
−0.475180 + 0.879889i 0.657617π0.657617\pi
830830 14.0167 + 4.96818i 0.486526 + 0.172448i
831831 −17.1291 29.6685i −0.594202 1.02919i
832832 −0.0500485 + 26.6692i −0.00173512 + 0.924589i
833833 −15.3232 + 9.18117i −0.530917 + 0.318109i
834834 −32.6564 8.76121i −1.13080 0.303376i
835835 37.3213 + 25.6491i 1.29156 + 0.887624i
836836 −4.33669 7.52224i −0.149988 0.260162i
837837 −33.2212 19.1803i −1.14829 0.662968i
838838 −13.7512 + 3.68001i −0.475027 + 0.127124i
839839 −13.4985 −0.466021 −0.233011 0.972474i 0.574858π-0.574858\pi
−0.233011 + 0.972474i 0.574858π0.574858\pi
840840 20.4983 + 13.8723i 0.707259 + 0.478639i
841841 −2.17525 −0.0750086
842842 11.0433 2.95535i 0.380579 0.101848i
843843 8.44024 + 4.87298i 0.290697 + 0.167834i
844844 10.6687 + 18.5055i 0.367233 + 0.636987i
845845 2.38950 3.47690i 0.0822014 0.119609i
846846 4.84643 + 1.30022i 0.166624 + 0.0447025i
847847 68.4939 18.9491i 2.35348 0.651100i
848848 −19.2510 + 11.0825i −0.661083 + 0.380575i
849849 19.8259 + 34.3394i 0.680423 + 1.17853i
850850 17.9462 1.88127i 0.615551 0.0645272i
851851 −11.6127 6.70461i −0.398079 0.229831i
852852 −0.00623798 + 9.97207i −0.000213710 + 0.341637i
853853 37.8821 1.29706 0.648530 0.761189i 0.275384π-0.275384\pi
0.648530 + 0.761189i 0.275384π0.275384\pi
854854 6.73876 + 11.4646i 0.230596 + 0.392312i
855855 0.551588 + 1.15637i 0.0188639 + 0.0395470i
856856 −1.93614 0.520735i −0.0661759 0.0177984i
857857 −9.33854 + 16.1748i −0.318998 + 0.552522i −0.980279 0.197617i 0.936680π-0.936680\pi
0.661281 + 0.750138i 0.270013π0.270013\pi
858858 30.3317 + 30.3507i 1.03551 + 1.03615i
859859 −13.6369 23.6198i −0.465285 0.805898i 0.533929 0.845529i 0.320715π-0.320715\pi
−0.999214 + 0.0396315i 0.987382π0.987382\pi
860860 1.62608 20.5026i 0.0554490 0.699133i
861861 −7.06810 6.95445i −0.240880 0.237007i
862862 2.68267 + 0.719720i 0.0913722 + 0.0245137i
863863 −12.1098 20.9749i −0.412224 0.713993i 0.582909 0.812538i 0.301915π-0.301915\pi
−0.995133 + 0.0985450i 0.968581π0.968581\pi
864864 −30.7974 8.30378i −1.04775 0.282500i
865865 −21.7040 1.70771i −0.737958 0.0580637i
866866 −44.6076 + 11.9376i −1.51583 + 0.405657i
867867 15.5133i 0.526859i
868868 34.8408 + 9.05683i 1.18257 + 0.307409i
869869 −38.2650 −1.29805
870870 −18.4263 + 15.7282i −0.624711 + 0.533237i
871871 4.83583 8.37591i 0.163856 0.283807i
872872 2.25578 + 8.45038i 0.0763902 + 0.286166i
873873 3.84242 + 6.65527i 0.130046 + 0.225247i
874874 −0.508532 + 1.89550i −0.0172014 + 0.0641161i
875875 13.9018 26.1101i 0.469968 0.882683i
876876 3.77876 6.53555i 0.127672 0.220816i
877877 24.3570 14.0625i 0.822477 0.474857i −0.0287932 0.999585i 0.509166π-0.509166\pi
0.851270 + 0.524728i 0.175833π0.175833\pi
878878 24.4561 + 24.4715i 0.825355 + 0.825871i
879879 −18.2449 10.5337i −0.615386 0.355293i
880880 4.38554 54.8600i 0.147837 1.84933i
881881 12.3462i 0.415953i 0.978134 + 0.207976i 0.0666877π0.0666877\pi
−0.978134 + 0.207976i 0.933312π0.933312\pi
882882 −2.20383 7.73108i −0.0742068 0.260319i
883883 −33.0518 −1.11228 −0.556140 0.831088i 0.687718π-0.687718\pi
−0.556140 + 0.831088i 0.687718π0.687718\pi
884884 −0.0106432 + 17.0142i −0.000357969 + 0.572251i
885885 1.76499 22.4321i 0.0593296 0.754046i
886886 37.5863 + 37.6098i 1.26274 + 1.26353i
887887 −26.2017 + 15.1276i −0.879767 + 0.507934i −0.870582 0.492024i 0.836257π-0.836257\pi
−0.00918566 + 0.999958i 0.502924π0.502924\pi
888888 20.1880 20.1501i 0.677464 0.676194i
889889 2.97536 11.4754i 0.0997903 0.384873i
890890 3.45272 + 18.6597i 0.115736 + 0.625475i
891891 −31.4627 + 18.1650i −1.05404 + 0.608551i
892892 10.9564 + 19.0045i 0.366848 + 0.636319i
893893 2.66977 + 1.54139i 0.0893403 + 0.0515806i
894894 −4.10388 15.3351i −0.137254 0.512882i
895895 −13.9621 + 6.65990i −0.466700 + 0.222616i
896896 29.9327 0.177055i 0.999983 0.00591499i
897897 9.69847i 0.323823i
898898 −41.3611 + 11.0688i −1.38024 + 0.369371i
899899 −17.6175 + 30.5145i −0.587578 + 1.01771i
900900 −1.27505 + 8.01995i −0.0425017 + 0.267332i
901901 −12.2728 + 7.08568i −0.408865 + 0.236058i
902902 −5.71311 + 21.2950i −0.190226 + 0.709045i
903903 12.6229 12.8292i 0.420063 0.426928i
904904 29.4135 + 29.4687i 0.978278 + 0.980115i
905905 43.4783 + 29.8805i 1.44527 + 0.993262i
906906 3.08025 + 3.08217i 0.102334 + 0.102398i
907907 −18.6808 + 32.3561i −0.620287 + 1.07437i 0.369145 + 0.929372i 0.379650π0.379650\pi
−0.989432 + 0.144997i 0.953683π0.953683\pi
908908 −22.5191 0.0140867i −0.747322 0.000467484i
909909 7.19254i 0.238561i
910910 23.1087 + 15.6178i 0.766047 + 0.517726i
911911 21.4157i 0.709535i 0.934955 + 0.354768i 0.115440π0.115440\pi
−0.934955 + 0.354768i 0.884560π0.884560\pi
912912 −3.61267 2.09181i −0.119628 0.0692667i
913913 14.4680 25.0593i 0.478820 0.829340i
914914 26.5831 26.5665i 0.879291 0.878742i
915915 6.65817 9.68811i 0.220112 0.320279i
916916 −7.12968 + 12.3311i −0.235571 + 0.407433i
917917 −41.2637 + 11.4158i −1.36265 + 0.376983i
918918 −19.6545 5.27299i −0.648694 0.174035i
919919 13.1132 7.57091i 0.432565 0.249741i −0.267874 0.963454i 0.586321π-0.586321\pi
0.700439 + 0.713713i 0.252988π0.252988\pi
920920 −9.46632 + 8.06997i −0.312095 + 0.266059i
921921 19.2867 33.4055i 0.635518 1.10075i
922922 −9.62321 35.9593i −0.316923 1.18426i
923923 11.2372i 0.369878i
924924 33.7989 34.3083i 1.11190 1.12866i
925925 −26.4926 21.4516i −0.871073 0.705323i
926926 −46.2591 + 12.3796i −1.52017 + 0.406818i
927927 −5.96522 3.44402i −0.195924 0.113117i
928928 −7.62721 + 28.2881i −0.250376 + 0.928603i
929929 12.1825 7.03359i 0.399696 0.230765i −0.286657 0.958033i 0.592544π-0.592544\pi
0.686353 + 0.727269i 0.259211π0.259211\pi
930930 −5.78990 31.2906i −0.189858 1.02606i
931931 −0.0800511 4.93829i −0.00262357 0.161846i
932932 −5.63218 + 9.74114i −0.184488 + 0.319082i
933933 3.78515 2.18536i 0.123920 0.0715453i
934934 −20.8307 + 20.8177i −0.681601 + 0.681174i
935935 2.75407 35.0026i 0.0900676 1.14471i
936936 −7.39422 1.98871i −0.241688 0.0650032i
937937 −6.12130 −0.199974 −0.0999871 0.994989i 0.531880π-0.531880\pi
−0.0999871 + 0.994989i 0.531880π0.531880\pi
938938 −9.44302 5.35426i −0.308326 0.174823i
939939 34.7165i 1.13293i
940940 8.40146 + 17.6415i 0.274025 + 0.575403i
941941 24.8876 + 14.3689i 0.811312 + 0.468411i 0.847411 0.530937i 0.178160π-0.178160\pi
−0.0360991 + 0.999348i 0.511493π0.511493\pi
942942 19.2959 19.2839i 0.628696 0.628303i
943943 4.31575 2.49170i 0.140540 0.0811409i
944944 −13.5767 23.5837i −0.441885 0.767583i
945945 −25.1894 + 21.8702i −0.819413 + 0.711439i
946946 −38.6521 10.3697i −1.25669 0.337149i
947947 −5.72800 9.92118i −0.186135 0.322395i 0.757823 0.652460i 0.226263π-0.226263\pi
−0.943958 + 0.330065i 0.892929π0.892929\pi
948948 −15.9383 + 9.18868i −0.517651 + 0.298434i
949949 4.25356 7.36739i 0.138076 0.239155i
950950 −2.03048 + 4.55720i −0.0658776 + 0.147855i
951951 19.6636 0.637635
952952 19.0961 0.136847i 0.618908 0.00443524i
953953 39.4042i 1.27643i −0.769859 0.638214i 0.779674π-0.779674\pi
0.769859 0.638214i 0.220326π-0.220326\pi
954954 −1.64872 6.16080i −0.0533792 0.199463i
955955 −1.90420 + 24.2014i −0.0616186 + 0.783138i
956956 18.9083 + 32.7975i 0.611539 + 1.06075i
957957 23.5694 + 40.8235i 0.761892 + 1.31964i
958958 1.92267 7.16653i 0.0621186 0.231540i
959959 19.8671 20.1917i 0.641541 0.652024i
960960 −11.3470 23.9036i −0.366223 0.771486i
961961 −7.64115 13.2349i −0.246489 0.426931i
962962 22.7350 22.7208i 0.733007 0.732548i
963963 0.287819 0.498517i 0.00927484 0.0160645i
964964 −9.42774 0.00589748i −0.303647 0.000189945i
965965 15.3232 7.30917i 0.493271 0.235290i
966966 −10.8851 + 0.0848149i −0.350223 + 0.00272887i
967967 −6.27278 −0.201719 −0.100860 0.994901i 0.532159π-0.532159\pi
−0.100860 + 0.994901i 0.532159π0.532159\pi
968968 −73.3663 19.7323i −2.35808 0.634219i
969969 −2.30645 1.33163i −0.0740939 0.0427782i
970970 −9.99763 + 28.2062i −0.321005 + 0.905646i
971971 14.2485 + 24.6792i 0.457257 + 0.791993i 0.998815 0.0486706i 0.0154984π-0.0154984\pi
−0.541557 + 0.840664i 0.682165π0.682165\pi
972972 8.19140 14.1674i 0.262739 0.454421i
973973 −10.7330 + 41.3952i −0.344084 + 1.32707i
974974 −4.39184 + 16.3701i −0.140723 + 0.524531i
975975 3.85595 24.3518i 0.123489 0.779881i
976976 0.0177863 14.2166i 0.000569326 0.455064i
977977 23.7793 + 13.7290i 0.760766 + 0.439228i 0.829571 0.558402i 0.188585π-0.188585\pi
−0.0688047 + 0.997630i 0.521919π0.521919\pi
978978 0.816249 + 3.05010i 0.0261008 + 0.0975314i
979979 36.9241 1.18010
980980 17.3266 26.0727i 0.553479 0.832863i
981981 −2.51114 −0.0801744
982982 −8.33629 31.1504i −0.266022 0.994050i
983983 −23.2784 13.4398i −0.742465 0.428662i 0.0804998 0.996755i 0.474348π-0.474348\pi
−0.822965 + 0.568092i 0.807682π0.807682\pi
984984 2.73398 + 10.2418i 0.0871560 + 0.326496i
985985 24.9315 + 17.1342i 0.794383 + 0.545941i
986986 −4.84337 + 18.0531i −0.154244 + 0.574928i
987987 −4.29157 + 16.5518i −0.136602 + 0.526849i
988988 −4.07249 2.35465i −0.129563 0.0749115i
989989 4.52263 + 7.83342i 0.143811 + 0.249088i
990990 14.8932 + 5.27887i 0.473337 + 0.167773i
991991 21.5616 + 12.4486i 0.684927 + 0.395443i 0.801709 0.597715i 0.203925π-0.203925\pi
−0.116782 + 0.993158i 0.537258π0.537258\pi
992992 −27.1699 27.2550i −0.862644 0.865346i
993993 −45.3312 −1.43854
994994 12.6122 0.0982716i 0.400033 0.00311699i
995995 4.38982 + 9.20298i 0.139167 + 0.291754i
996996 0.00870260 13.9120i 0.000275752 0.440819i
997997 −6.77909 + 11.7417i −0.214696 + 0.371864i −0.953178 0.302408i 0.902209π-0.902209\pi
0.738483 + 0.674273i 0.235543π0.235543\pi
998998 20.8566 20.8436i 0.660205 0.659792i
999999 19.2214 + 33.2925i 0.608140 + 1.05333i
Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 140.2.s.b.59.3 yes 32
4.3 odd 2 inner 140.2.s.b.59.5 yes 32
5.2 odd 4 700.2.p.e.451.6 32
5.3 odd 4 700.2.p.e.451.11 32
5.4 even 2 inner 140.2.s.b.59.14 yes 32
7.2 even 3 980.2.s.e.19.12 32
7.3 odd 6 980.2.c.d.979.17 32
7.4 even 3 980.2.c.d.979.18 32
7.5 odd 6 inner 140.2.s.b.19.12 yes 32
7.6 odd 2 980.2.s.e.619.3 32
20.3 even 4 700.2.p.e.451.13 32
20.7 even 4 700.2.p.e.451.4 32
20.19 odd 2 inner 140.2.s.b.59.12 yes 32
28.3 even 6 980.2.c.d.979.14 32
28.11 odd 6 980.2.c.d.979.13 32
28.19 even 6 inner 140.2.s.b.19.14 yes 32
28.23 odd 6 980.2.s.e.19.14 32
28.27 even 2 980.2.s.e.619.5 32
35.4 even 6 980.2.c.d.979.15 32
35.9 even 6 980.2.s.e.19.5 32
35.12 even 12 700.2.p.e.551.4 32
35.19 odd 6 inner 140.2.s.b.19.5 yes 32
35.24 odd 6 980.2.c.d.979.16 32
35.33 even 12 700.2.p.e.551.13 32
35.34 odd 2 980.2.s.e.619.14 32
140.19 even 6 inner 140.2.s.b.19.3 32
140.39 odd 6 980.2.c.d.979.20 32
140.47 odd 12 700.2.p.e.551.6 32
140.59 even 6 980.2.c.d.979.19 32
140.79 odd 6 980.2.s.e.19.3 32
140.103 odd 12 700.2.p.e.551.11 32
140.139 even 2 980.2.s.e.619.12 32
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
140.2.s.b.19.3 32 140.19 even 6 inner
140.2.s.b.19.5 yes 32 35.19 odd 6 inner
140.2.s.b.19.12 yes 32 7.5 odd 6 inner
140.2.s.b.19.14 yes 32 28.19 even 6 inner
140.2.s.b.59.3 yes 32 1.1 even 1 trivial
140.2.s.b.59.5 yes 32 4.3 odd 2 inner
140.2.s.b.59.12 yes 32 20.19 odd 2 inner
140.2.s.b.59.14 yes 32 5.4 even 2 inner
700.2.p.e.451.4 32 20.7 even 4
700.2.p.e.451.6 32 5.2 odd 4
700.2.p.e.451.11 32 5.3 odd 4
700.2.p.e.451.13 32 20.3 even 4
700.2.p.e.551.4 32 35.12 even 12
700.2.p.e.551.6 32 140.47 odd 12
700.2.p.e.551.11 32 140.103 odd 12
700.2.p.e.551.13 32 35.33 even 12
980.2.c.d.979.13 32 28.11 odd 6
980.2.c.d.979.14 32 28.3 even 6
980.2.c.d.979.15 32 35.4 even 6
980.2.c.d.979.16 32 35.24 odd 6
980.2.c.d.979.17 32 7.3 odd 6
980.2.c.d.979.18 32 7.4 even 3
980.2.c.d.979.19 32 140.59 even 6
980.2.c.d.979.20 32 140.39 odd 6
980.2.s.e.19.3 32 140.79 odd 6
980.2.s.e.19.5 32 35.9 even 6
980.2.s.e.19.12 32 7.2 even 3
980.2.s.e.19.14 32 28.23 odd 6
980.2.s.e.619.3 32 7.6 odd 2
980.2.s.e.619.5 32 28.27 even 2
980.2.s.e.619.12 32 140.139 even 2
980.2.s.e.619.14 32 35.34 odd 2