LMFDB - Embedded newform 507.2.p.a.25.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [507,2,Mod(25,507)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(507, base_ring=CyclotomicField(26))

chi = DirichletCharacter(H, H._module([0, 3]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("507.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 507 = 3 \cdot 13^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	507.p (of order $26$, degree $12$, 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:	$4.04841538248$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$14$ over $\Q(\zeta_{26})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{26}]$

Embedding invariants

Embedding label			25.11
Character	$\chi$	$=$	507.25
Dual form			507.2.p.a.142.11

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.35653 + 0.514462i) q^{2} +(0.568065 + 0.822984i) q^{3} +(0.0784691 + 0.0695176i) q^{4} +(-3.71157 - 0.450666i) q^{5} +(0.347200 + 1.40865i) q^{6} +(-1.65187 - 3.14737i) q^{7} +(-1.27776 - 2.43458i) q^{8} +(-0.354605 + 0.935016i) q^{9} +(-4.80299 - 2.52080i) q^{10} +(-5.08753 + 1.92944i) q^{11} +(-0.0126363 + 0.104069i) q^{12} +(3.35751 - 1.31420i) q^{13} +(-0.621597 - 5.11931i) q^{14} +(-1.73752 - 3.31057i) q^{15} +(-0.506095 - 4.16806i) q^{16} +(0.269896 - 0.141652i) q^{17} +(-0.962061 + 1.08594i) q^{18} +2.95763i q^{19} +(-0.259914 - 0.293383i) q^{20} +(1.65187 - 3.14737i) q^{21} -7.89399 q^{22} -3.75769 q^{23} +(1.27776 - 2.43458i) q^{24} +(8.71796 + 2.14878i) q^{25} +(5.23066 - 0.0554289i) q^{26} +(-0.970942 + 0.239316i) q^{27} +(0.0891769 - 0.361805i) q^{28} +(0.158852 - 0.418857i) q^{29} +(-0.653829 - 5.38477i) q^{30} +(0.151068 + 0.612907i) q^{31} +(0.141777 - 0.575213i) q^{32} +(-4.47795 - 3.09090i) q^{33} +(0.438996 - 0.0533038i) q^{34} +(4.71261 + 12.4261i) q^{35} +(-0.0928256 + 0.0487186i) q^{36} +(-0.749751 - 3.04186i) q^{37} +(-1.52159 + 4.01210i) q^{38} +(2.98885 + 2.01663i) q^{39} +(3.64533 + 9.61195i) q^{40} +(5.06711 - 3.49757i) q^{41} +(3.86000 - 3.41967i) q^{42} +(-1.41292 - 0.348253i) q^{43} +(-0.533344 - 0.202271i) q^{44} +(1.73752 - 3.31057i) q^{45} +(-5.09740 - 1.93319i) q^{46} +(-8.16423 - 9.21551i) q^{47} +(3.14275 - 2.78424i) q^{48} +(-3.20082 + 4.63719i) q^{49} +(10.7207 + 7.39994i) q^{50} +(0.269896 + 0.141652i) q^{51} +(0.354821 + 0.130282i) q^{52} +(3.17106 - 1.66430i) q^{53} +(-1.44023 - 0.174875i) q^{54} +(19.7523 - 4.86850i) q^{55} +(-5.55181 + 8.04319i) q^{56} +(-2.43408 + 1.68012i) q^{57} +(0.430972 - 0.486467i) q^{58} +(5.48782 + 0.666342i) q^{59} +(0.0938011 - 0.380566i) q^{60} +(-6.99868 - 3.67319i) q^{61} +(-0.110390 + 0.909143i) q^{62} +(3.52860 - 0.428450i) q^{63} +(-4.28199 + 6.20353i) q^{64} +(-13.0539 + 3.36462i) q^{65} +(-4.48430 - 6.49663i) q^{66} +(5.52761 + 6.23938i) q^{67} +(0.0310258 + 0.00764718i) q^{68} +(-2.13461 - 3.09252i) q^{69} +19.2808i q^{70} +(-6.93153 + 4.78449i) q^{71} +(2.72947 - 0.331418i) q^{72} +(-10.3598 + 3.92895i) q^{73} +(0.547866 - 4.51208i) q^{74} +(3.18395 + 8.39539i) q^{75} +(-0.205607 + 0.232082i) q^{76} +(14.4766 + 12.8251i) q^{77} +(3.01697 + 4.27326i) q^{78} +(12.4577 - 11.0365i) q^{79} +15.6982i q^{80} +(-0.748511 - 0.663123i) q^{81} +(8.67303 - 2.13771i) q^{82} +(-14.3692 - 9.91837i) q^{83} +(0.348418 - 0.132138i) q^{84} +(-1.06558 + 0.404120i) q^{85} +(-1.73750 - 1.19931i) q^{86} +(0.434951 - 0.107206i) q^{87} +(11.1980 + 9.92060i) q^{88} -9.94884i q^{89} +(4.06016 - 3.59699i) q^{90} +(-9.68243 - 8.39645i) q^{91} +(-0.294862 - 0.261225i) q^{92} +(-0.418596 + 0.472497i) q^{93} +(-6.33395 - 16.7013i) q^{94} +(1.33290 - 10.9775i) q^{95} +(0.553930 - 0.210078i) q^{96} +(-11.8880 + 1.44347i) q^{97} +(-6.72765 + 4.64376i) q^{98} -5.44111i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 14 q^{3} + 12 q^{4} - 14 q^{9} - 4 q^{10} + 12 q^{12} + 13 q^{13} + 2 q^{14} - 8 q^{16} - 4 q^{17} - 72 q^{22} + 48 q^{23} - 44 q^{25} - 39 q^{26} - 14 q^{27} + 45 q^{29} - 4 q^{30} - 26 q^{31}+ \cdots - 104 q^{98}+O(q^{100}) $ 168 * q - 14 * q^3 + 12 * q^4 - 14 * q^9 - 4 * q^10 + 12 * q^12 + 13 * q^13 + 2 * q^14 - 8 * q^16 - 4 * q^17 - 72 * q^22 + 48 * q^23 - 44 * q^25 - 39 * q^26 - 14 * q^27 + 45 * q^29 - 4 * q^30 - 26 * q^31 + 130 * q^32 + 13 * q^33 - 65 * q^34 - 35 * q^35 + 12 * q^36 + 61 * q^38 + 12 * q^40 - 63 * q^42 + 72 * q^43 - 39 * q^44 - 8 * q^48 - 68 * q^49 - 52 * q^50 - 4 * q^51 + 65 * q^52 - q^53 + 53 * q^55 - 14 * q^56 - 13 * q^57 - 26 * q^58 - 104 * q^59 + 117 * q^60 + 12 * q^61 + 49 * q^62 - 32 * q^64 - 52 * q^65 - 46 * q^66 + 26 * q^67 - 84 * q^68 - 4 * q^69 - 39 * q^71 - 52 * q^73 + 29 * q^74 + 8 * q^75 - 130 * q^76 + 60 * q^77 + 65 * q^78 + 14 * q^79 - 14 * q^81 + 45 * q^82 + 78 * q^83 - 13 * q^85 - 13 * q^86 - 46 * q^87 - 26 * q^88 - 4 * q^90 - 208 * q^91 + 82 * q^92 - 39 * q^93 + 25 * q^94 - 66 * q^95 + 65 * q^96 + 26 * q^97 - 104 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/507\mathbb{Z}\right)^\times$.

$n$	$170$	$340$
$\chi(n)$	$1$	$e\left(\frac{3}{26}\right)$

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.35653	+	0.514462i	0.959209	+	0.363780i	0.784006	−	0.620753i	$-0.213173\pi$
$2$	1.35653	+	0.514462i	0.959209	+	0.363780i	0.175202	+	0.984532i	$0.443942\pi$
$3$	0.568065	+	0.822984i	0.327972	+	0.475150i
$3$	0.568065	+	0.822984i	0.327972	+	0.475150i
$4$	0.0784691	+	0.0695176i	0.0392345	+	0.0347588i
$5$	−3.71157	−	0.450666i	−1.65987	−	0.201544i	−0.763796	−	0.645458i	$-0.776667\pi$
$5$	−3.71157	−	0.450666i	−1.65987	−	0.201544i	−0.896070	+	0.443914i	$0.853590\pi$
$6$	0.347200	+	1.40865i	0.141744	+	0.575078i
$7$	−1.65187	−	3.14737i	−0.624347	−	1.18959i	−0.968107	−	0.250537i	$-0.919393\pi$
$7$	−1.65187	−	3.14737i	−0.624347	−	1.18959i	0.343760	−	0.939058i	$-0.388299\pi$
$8$	−1.27776	−	2.43458i	−0.451758	−	0.860752i
$9$	−0.354605	+	0.935016i	−0.118202	+	0.311672i
$10$	−4.80299	−	2.52080i	−1.51884	−	0.797149i
$11$	−5.08753	+	1.92944i	−1.53395	+	0.581750i	−0.969795	−	0.243921i	$-0.921566\pi$
$11$	−5.08753	+	1.92944i	−1.53395	+	0.581750i	−0.564152	+	0.825671i	$0.690797\pi$
$12$	−0.0126363	+	0.104069i	−0.00364778	+	0.0300422i
$13$	3.35751	−	1.31420i	0.931206	−	0.364493i
$13$	3.35751	−	1.31420i	0.931206	−	0.364493i
$14$	−0.621597	−	5.11931i	−0.166129	−	1.36819i
$15$	−1.73752	−	3.31057i	−0.448626	−	0.854786i
$16$	−0.506095	−	4.16806i	−0.126524	−	1.04202i
$17$	0.269896	−	0.141652i	0.0654595	−	0.0343558i	−0.431676	−	0.902029i	$-0.642078\pi$
$17$	0.269896	−	0.141652i	0.0654595	−	0.0343558i	0.497135	+	0.867673i	$0.334385\pi$
$18$	−0.962061	+	1.08594i	−0.226760	+	0.255959i
$19$			2.95763i			0.678526i	0.940691	+	0.339263i	$0.110178\pi$
$19$			2.95763i			0.678526i	−0.940691	+	0.339263i	$0.889822\pi$
$20$	−0.259914	−	0.293383i	−0.0581186	−	0.0656024i
$21$	1.65187	−	3.14737i	0.360467	−	0.686812i
$22$	−7.89399			−1.68300
$23$	−3.75769			−0.783532			−0.391766	−	0.920065i	$-0.628136\pi$
$23$	−3.75769			−0.783532			−0.391766	+	0.920065i	$0.628136\pi$
$24$	1.27776	−	2.43458i	0.260822	−	0.496956i
$25$	8.71796	+	2.14878i	1.74359	+	0.429757i
$26$	5.23066	−	0.0554289i	1.02582	−	0.0108705i
$27$	−0.970942	+	0.239316i	−0.186858	+	0.0460563i
$28$	0.0891769	−	0.361805i	0.0168529	−	0.0683747i
$29$	0.158852	−	0.418857i	0.0294980	−	0.0777798i	−0.919458	−	0.393188i	$-0.871372\pi$
$29$	0.158852	−	0.418857i	0.0294980	−	0.0777798i	0.948956	+	0.315408i	$0.102141\pi$
$30$	−0.653829	−	5.38477i	−0.119372	−	0.983119i
$31$	0.151068	+	0.612907i	0.0271326	+	0.110081i	0.982947	−	0.183890i	$-0.0588691\pi$
$31$	0.151068	+	0.612907i	0.0271326	+	0.110081i	−0.955814	+	0.293972i	$0.905023\pi$
$32$	0.141777	−	0.575213i	0.0250629	−	0.101684i
$33$	−4.47795	−	3.09090i	−0.779511	−	0.538057i
$34$	0.438996	−	0.0533038i	0.0752872	−	0.00914152i
$35$	4.71261	+	12.4261i	0.796577	+	2.10040i
$36$	−0.0928256	+	0.0487186i	−0.0154709	+	0.00811977i
$37$	−0.749751	−	3.04186i	−0.123258	−	0.500079i	−0.999823	−	0.0187952i	$-0.994017\pi$
$37$	−0.749751	−	3.04186i	−0.123258	−	0.500079i	0.876565	−	0.481283i	$-0.159829\pi$
$38$	−1.52159	+	4.01210i	−0.246834	+	0.650848i
$39$	2.98885	+	2.01663i	0.478599	+	0.322919i
$40$	3.64533	+	9.61195i	0.576377	+	1.51978i
$41$	5.06711	−	3.49757i	0.791349	−	0.546229i	−0.102428	−	0.994740i	$-0.532661\pi$
$41$	5.06711	−	3.49757i	0.791349	−	0.546229i	0.893777	+	0.448512i	$0.148046\pi$
$42$	3.86000	−	3.41967i	0.595612	−	0.527666i
$43$	−1.41292	−	0.348253i	−0.215468	−	0.0531080i	0.130104	−	0.991500i	$-0.458469\pi$
$43$	−1.41292	−	0.348253i	−0.215468	−	0.0531080i	−0.345572	+	0.938392i	$0.612315\pi$
$44$	−0.533344	−	0.202271i	−0.0804046	−	0.0304935i
$45$	1.73752	−	3.31057i	0.259015	−	0.493511i
$46$	−5.09740	−	1.93319i	−0.751570	−	0.285033i
$47$	−8.16423	−	9.21551i	−1.19088	−	1.34422i	−0.924886	−	0.380244i	$-0.875840\pi$
$47$	−8.16423	−	9.21551i	−1.19088	−	1.34422i	−0.265989	−	0.963976i	$-0.585698\pi$
$48$	3.14275	−	2.78424i	0.453618	−	0.401870i
$49$	−3.20082	+	4.63719i	−0.457260	+	0.662456i
$50$	10.7207	+	7.39994i	1.51613	+	1.04651i
$51$	0.269896	+	0.141652i	0.0377930	+	0.0198353i
$52$	0.354821	+	0.130282i	0.0492048	+	0.0180669i
$53$	3.17106	−	1.66430i	0.435579	−	0.228609i	−0.232657	−	0.972559i	$-0.574742\pi$
$53$	3.17106	−	1.66430i	0.435579	−	0.228609i	0.668236	+	0.743949i	$0.267050\pi$
$54$	−1.44023	−	0.174875i	−0.195990	−	0.0237975i
$55$	19.7523	−	4.86850i	2.66339	−	0.656468i
$56$	−5.55181	+	8.04319i	−0.741892	+	1.07482i
$57$	−2.43408	+	1.68012i	−0.322402	+	0.222538i
$58$	0.430972	−	0.486467i	0.0565895	−	0.0638763i
$59$	5.48782	+	0.666342i	0.714453	+	0.0867503i	0.469688	−	0.882832i	$-0.344366\pi$
$59$	5.48782	+	0.666342i	0.714453	+	0.0867503i	0.244764	+	0.969583i	$0.421289\pi$
$60$	0.0938011	−	0.380566i	0.0121097	−	0.0491308i
$61$	−6.99868	−	3.67319i	−0.896089	−	0.470304i	−0.0472065	−	0.998885i	$-0.515032\pi$
$61$	−6.99868	−	3.67319i	−0.896089	−	0.470304i	−0.848883	+	0.528581i	$0.822724\pi$
$62$	−0.110390	+	0.909143i	−0.0140195	+	0.115461i
$63$	3.52860	−	0.428450i	0.444562	−	0.0539796i
$64$	−4.28199	+	6.20353i	−0.535249	+	0.775442i
$65$	−13.0539	+	3.36462i	−1.61914	+	0.417330i
$66$	−4.48430	−	6.49663i	−0.551979	−	0.799679i
$67$	5.52761	+	6.23938i	0.675305	+	0.762262i	0.981863	−	0.189590i	$-0.0607159\pi$
$67$	5.52761	+	6.23938i	0.675305	+	0.762262i	−0.306558	+	0.951852i	$0.599177\pi$
$68$	0.0310258	+	0.00764718i	0.00376244	+	0.000927357i
$69$	−2.13461	−	3.09252i	−0.256977	−	0.372295i
$70$			19.2808i			2.30450i
$71$	−6.93153	+	4.78449i	−0.822621	+	0.567815i	−0.903341	−	0.428922i	$-0.858893\pi$
$71$	−6.93153	+	4.78449i	−0.822621	+	0.567815i	0.0807199	+	0.996737i	$0.474278\pi$
$72$	2.72947	−	0.331418i	0.321671	−	0.0390579i
$73$	−10.3598	+	3.92895i	−1.21252	+	0.459849i	−0.876223	−	0.481906i	$-0.839945\pi$
$73$	−10.3598	+	3.92895i	−1.21252	+	0.459849i	−0.336300	+	0.941755i	$0.609176\pi$
$74$	0.547866	−	4.51208i	0.0636881	−	0.524519i
$75$	3.18395	+	8.39539i	0.367651	+	0.969416i
$76$	−0.205607	+	0.232082i	−0.0235847	+	0.0266217i
$77$	14.4766	+	12.8251i	1.64976	+	1.46156i
$78$	3.01697	+	4.27326i	0.341604	+	0.483851i
$79$	12.4577	−	11.0365i	1.40160	−	1.24171i	0.467830	−	0.883818i	$-0.345036\pi$
$79$	12.4577	−	11.0365i	1.40160	−	1.24171i	0.933765	−	0.357887i	$-0.116503\pi$
$80$			15.6982i			1.75511i
$81$	−0.748511	−	0.663123i	−0.0831679	−	0.0736803i
$82$	8.67303	−	2.13771i	0.957776	−	0.236071i
$83$	−14.3692	−	9.91837i	−1.57723	−	1.08868i	−0.951065	−	0.308991i	$-0.900009\pi$
$83$	−14.3692	−	9.91837i	−1.57723	−	1.08868i	−0.626164	−	0.779691i	$-0.715376\pi$
$84$	0.348418	−	0.132138i	0.0380155	−	0.0144174i
$85$	−1.06558	+	0.404120i	−0.115578	+	0.0438330i
$86$	−1.73750	−	1.19931i	−0.187359	−	0.129325i
$87$	0.434951	−	0.107206i	0.0466316	−	0.0114937i
$88$	11.1980	+	9.92060i	1.19371	+	1.05754i
$89$		−	9.94884i		−	1.05458i	−0.849687	−	0.527288i	$-0.823209\pi$
$89$		−	9.94884i		−	1.05458i	0.849687	−	0.527288i	$-0.176791\pi$
$90$	4.06016	−	3.59699i	0.427978	−	0.379156i
$91$	−9.68243	−	8.39645i	−1.01499	−	0.880187i
$92$	−0.294862	−	0.261225i	−0.0307415	−	0.0272346i
$93$	−0.418596	+	0.472497i	−0.0434064	+	0.0489957i
$94$	−6.33395	−	16.7013i	−0.653297	−	1.72260i
$95$	1.33290	−	10.9775i	0.136753	−	1.12626i
$96$	0.553930	−	0.210078i	0.0565352	−	0.0214410i
$97$	−11.8880	+	1.44347i	−1.20705	+	0.146562i	−0.699226	−	0.714901i	$-0.746472\pi$
$97$	−11.8880	+	1.44347i	−1.20705	+	0.146562i	−0.507820	+	0.861463i	$0.669549\pi$
$98$	−6.72765	+	4.64376i	−0.679596	+	0.469091i
$99$		−	5.44111i		−	0.546852i
$100$	0.534712	+	0.774664i	0.0534712	+	0.0774664i
$101$	14.5983	+	3.59815i	1.45258	+	0.358030i	0.885118	−	0.465367i	$-0.154078\pi$
$101$	14.5983	+	3.59815i	1.45258	+	0.358030i	0.567466	+	0.823397i	$0.307924\pi$
$102$	0.293246	+	0.331007i	0.0290357	+	0.0327745i
$103$	−5.57994	−	8.08394i	−0.549808	−	0.796535i	0.445294	−	0.895384i	$-0.353099\pi$
$103$	−5.57994	−	8.08394i	−0.549808	−	0.796535i	−0.995102	+	0.0988496i	$0.968484\pi$
$104$	−7.48962	−	6.49488i	−0.734418	−	0.636876i
$105$	−7.54944	+	10.9373i	−0.736750	+	1.06737i
$106$	5.15785	−	0.626276i	0.500975	−	0.0608293i
$107$	0.862901	−	7.10663i	0.0834197	−	0.687023i	−0.889671	−	0.456602i	$-0.849066\pi$
$107$	0.862901	−	7.10663i	0.0834197	−	0.687023i	0.973091	−	0.230422i	$-0.0740105\pi$
$108$	−0.0928256	−	0.0487186i	−0.00893214	−	0.00468795i
$109$	1.50442	−	6.10367i	0.144097	−	0.584626i	−0.853846	−	0.520525i	$-0.825736\pi$
$109$	1.50442	−	6.10367i	0.144097	−	0.584626i	0.997943	−	0.0641003i	$-0.0204178\pi$
$110$	29.2991	+	3.55756i	2.79356	+	0.339200i
$111$	2.07749	−	2.34501i	0.197187	−	0.222578i
$112$	−12.2824	+	8.47796i	−1.16058	+	0.801092i
$113$	−2.10030	+	3.04282i	−0.197580	+	0.286244i	−0.909233	−	0.416287i	$-0.863331\pi$
$113$	−2.10030	+	3.04282i	−0.197580	+	0.286244i	0.711653	+	0.702531i	$0.247947\pi$
$114$	−4.16625	+	1.02689i	−0.390205	+	0.0961770i
$115$	13.9469	+	1.69346i	1.30056	+	0.157916i
$116$	0.0415829	−	0.0218244i	0.00386087	−	0.00202634i
$117$	0.0382056	+	3.60535i	0.00353211	+	0.333315i
$118$	7.10156	+	3.72718i	0.653751	+	0.343115i
$119$	−0.891666	−	0.615472i	−0.0817388	−	0.0564203i
$120$	−5.83969	+	8.46026i	−0.533089	+	0.772312i
$121$	13.9266	−	12.3379i	1.26605	−	1.12162i
$122$	−7.60417	−	8.58334i	−0.688449	−	0.777099i
$123$	5.75689	+	2.18330i	0.519081	+	0.196862i
$124$	−0.0307536	+	0.0585961i	−0.00276176	+	0.00526209i
$125$	−13.9096	−	5.27522i	−1.24411	−	0.471830i
$126$	5.00706	+	1.23413i	0.446064	+	0.109945i
$127$	−8.07223	+	7.15137i	−0.716294	+	0.634581i	−0.940434	−	0.339976i	$-0.889581\pi$
$127$	−8.07223	+	7.15137i	−0.716294	+	0.634581i	0.224140	+	0.974557i	$0.428043\pi$
$128$	−9.97523	+	6.88541i	−0.881694	+	0.608590i
$129$	−0.516022	−	1.36064i	−0.0454332	−	0.119797i
$130$	−19.4389	−	2.15155i	−1.70491	−	0.188704i
$131$	−6.96057	+	18.3535i	−0.608148	+	1.60355i	0.176976	+	0.984215i	$0.443368\pi$
$131$	−6.96057	+	18.3535i	−0.608148	+	1.60355i	−0.785124	+	0.619339i	$0.787401\pi$
$132$	−0.136508	−	0.553836i	−0.0118815	−	0.0482053i
$133$	9.30875	−	4.88561i	0.807171	−	0.423636i
$134$	4.28842	+	11.3076i	0.370463	+	0.976830i
$135$	3.71157	−	0.450666i	0.319441	−	0.0387872i
$136$	−0.689727	−	0.476084i	−0.0591436	−	0.0408239i
$137$	−3.01381	+	12.2275i	−0.257487	+	1.04467i	0.689728	+	0.724069i	$0.257730\pi$
$137$	−3.01381	+	12.2275i	−0.257487	+	1.04467i	−0.947215	+	0.320599i	$0.896116\pi$
$138$	−1.30467	−	5.29325i	−0.111061	−	0.450592i
$139$	0.707772	+	5.82903i	0.0600324	+	0.494412i	0.991453	+	0.130466i	$0.0416474\pi$
$139$	0.707772	+	5.82903i	0.0600324	+	0.494412i	−0.931420	+	0.363945i	$0.881429\pi$
$140$	−0.494040	+	1.30268i	−0.0417540	+	0.110096i
$141$	2.94640	−	11.9540i	0.248132	−	1.00671i
$142$	−11.8642	+	2.92427i	−0.995625	+	0.245400i
$143$	−14.5458	+	13.1641i	−1.21638	+	1.10084i
$144$	4.07667	+	1.00481i	0.339723	+	0.0837341i
$145$	−0.778354	+	1.48303i	−0.0646388	+	0.123159i
$146$	−16.0746			−1.33035
$147$	−5.63460			−0.464734
$148$	0.152630	−	0.290813i	0.0125461	−	0.0239047i
$149$	6.70604	+	7.56955i	0.549380	+	0.620122i	0.955961	−	0.293493i	$-0.0948177\pi$
$149$	6.70604	+	7.56955i	0.549380	+	0.620122i	−0.406581	+	0.913615i	$0.633279\pi$
$150$			13.0266i			1.06362i
$151$	15.4006	−	17.3837i	1.25328	−	1.41466i	0.381792	−	0.924248i	$-0.375307\pi$
$151$	15.4006	−	17.3837i	1.25328	−	1.41466i	0.871490	−	0.490414i	$-0.163154\pi$
$152$	7.20057	−	3.77915i	0.584043	−	0.306530i
$153$	0.0367408	+	0.302588i	0.00297032	+	0.0244628i
$154$	13.0398	+	24.8453i	1.05078	+	2.00209i
$155$	−0.284483	−	2.34293i	−0.0228502	−	0.188189i
$156$	0.0943410	+	0.366020i	0.00755333	+	0.0293051i
$157$	−0.354637	+	2.92070i	−0.0283031	+	0.233097i	−0.999995	−	0.00315458i	$-0.998996\pi$
$157$	−0.354637	+	2.92070i	−0.0283031	+	0.233097i	0.971692	+	0.236252i	$0.0759189\pi$
$158$	22.5770	−	8.56233i	1.79613	−	0.681182i
$159$	3.17106	+	1.66430i	0.251482	+	0.131988i
$160$	−0.785446	+	2.07105i	−0.0620949	+	0.163731i
$161$	6.20720	+	11.8268i	0.489196	+	0.932085i
$162$	−0.674222	−	1.28462i	−0.0529719	−	0.100930i
$163$	−2.78387	−	11.2946i	−0.218050	−	0.884663i	−0.973358	−	0.229292i	$-0.926359\pi$
$163$	−2.78387	−	11.2946i	−0.218050	−	0.884663i	0.755308	−	0.655370i	$-0.227487\pi$
$164$	0.640754	+	0.0778016i	0.0500345	+	0.00607528i
$165$	15.2273	+	13.4902i	1.18544	+	1.05021i
$166$	−14.3896	−	20.8470i	−1.11685	−	1.61804i
$167$	18.7270	+	7.10222i	1.44914	+	0.549587i	0.948698	−	0.316183i	$-0.102401\pi$
$167$	18.7270	+	7.10222i	1.44914	+	0.549587i	0.500442	+	0.865770i	$0.333171\pi$
$168$	−9.77321			−0.754019
$169$	9.54577	−	8.82487i	0.734290	−	0.678836i
$170$	−1.65339			−0.126809
$171$	−2.76543	−	1.04879i	−0.211478	−	0.0802029i
$172$	−0.0866606	−	0.125550i	−0.00660781	−	0.00957307i
$173$	−2.78685	−	2.46893i	−0.211880	−	0.187709i	0.550507	−	0.834830i	$-0.314434\pi$
$173$	−2.78685	−	2.46893i	−0.211880	−	0.187709i	−0.762387	+	0.647121i	$0.775973\pi$
$174$	0.645175	+	0.0783384i	0.0489106	+	0.00593882i
$175$	−7.63789	−	30.9882i	−0.577370	−	2.34248i
$176$	10.6168	+	20.2287i	0.800273	+	1.52479i
$177$	2.56905	+	4.89491i	0.193101	+	0.367924i
$178$	5.11830	−	13.4959i	0.383633	−	1.01156i
$179$	16.8327	+	8.83447i	1.25813	+	0.660319i	0.956117	−	0.292984i	$-0.0946482\pi$
$179$	16.8327	+	8.83447i	1.25813	+	0.660319i	0.302016	+	0.953303i	$0.402340\pi$
$180$	0.366485	−	0.138989i	0.0273162	−	0.0103597i
$181$	0.251013	−	2.06727i	0.0186576	−	0.153659i	−0.980403	−	0.197005i	$-0.936879\pi$
$181$	0.251013	−	2.06727i	0.0186576	−	0.153659i	0.999060	+	0.0433455i	$0.0138016\pi$
$182$	−8.81481	−	16.3713i	−0.653397	−	1.21352i
$183$	−0.952727	−	7.84641i	−0.0704276	−	0.580023i
$184$	4.80143	+	9.14837i	0.353966	+	0.674427i
$185$	1.41189	+	11.6280i	0.103804	+	0.854905i
$186$	−0.810919	+	0.425603i	−0.0594594	+	0.0312067i
$187$	−1.09979	+	1.24141i	−0.0804249	+	0.0907809i
$188$		−	1.29069i		−	0.0941332i
$189$	2.35708	+	2.66060i	0.171452	+	0.193530i
$190$	7.45560	−	14.2055i	0.540886	−	1.03057i
$191$	−21.7126			−1.57107			−0.785534	−	0.618818i	$-0.787612\pi$
$191$	−21.7126			−1.57107			−0.785534	+	0.618818i	$0.787612\pi$
$192$	−7.53786			−0.543998
$193$	8.27124	−	15.7595i	0.595377	−	1.13440i	−0.382252	−	0.924058i	$-0.624851\pi$
$193$	8.27124	−	15.7595i	0.595377	−	1.13440i	0.977629	−	0.210338i	$-0.0674563\pi$
$194$	−16.8690	−	4.15784i	−1.21113	−	0.298516i
$195$	−10.1845	−	8.83184i	−0.729327	−	0.632461i
$196$	−0.573531	+	0.141363i	−0.0409665	+	0.0100973i
$197$	−0.304825	+	1.23672i	−0.0217179	+	0.0881130i	−0.980801	−	0.195013i	$-0.937525\pi$
$197$	−0.304825	+	1.23672i	−0.0217179	+	0.0881130i	0.959083	+	0.283126i	$0.0913713\pi$
$198$	2.79925	−	7.38101i	0.198934	−	0.524545i
$199$	2.47277	+	20.3651i	0.175290	+	1.44364i	0.769146	+	0.639073i	$0.220682\pi$
$199$	2.47277	+	20.3651i	0.175290	+	1.44364i	−0.593856	+	0.804572i	$0.702395\pi$
$200$	−5.90812	−	23.9702i	−0.417767	−	1.69495i
$201$	−1.99487	+	8.09351i	−0.140707	+	0.570872i
$202$	17.9518	+	12.3913i	1.26309	+	0.871846i
$203$	−1.58070	+	0.191932i	−0.110943	+	0.0134710i
$204$	0.0113312	+	0.0298779i	0.000793341	+	0.00209187i
$205$	−20.3832	+	10.6979i	−1.42362	+	0.747175i
$206$	−3.41045	−	13.8367i	−0.237617	−	0.964052i
$207$	1.33249	−	3.51350i	0.0926147	−	0.244205i
$208$	−7.17688	−	13.3292i	−0.497627	−	0.924215i
$209$	−5.70658	−	15.0470i	−0.394732	−	1.04082i
$210$	−15.8678	+	10.9528i	−1.09498	+	0.755812i
$211$	7.70795	−	6.82865i	0.530637	−	0.470104i	−0.354748	−	0.934962i	$-0.615433\pi$
$211$	7.70795	−	6.82865i	0.530637	−	0.470104i	0.885385	+	0.464858i	$0.153895\pi$
$212$	0.364529	+	0.0898482i	0.0250359	+	0.00617080i
$213$	−7.87512	−	2.98664i	−0.539594	−	0.204641i
$214$	4.82664	−	9.19639i	0.329942	−	0.628652i
$215$	5.08720	+	1.92932i	0.346944	+	0.131579i
$216$	1.82327	+	2.05804i	0.124058	+	0.140032i
$217$	1.67950	−	1.48791i	0.114012	−	0.101006i
$218$	5.18089	−	7.50582i	0.350894	−	0.508358i
$219$	−9.11850	−	6.29405i	−0.616171	−	0.425312i
$220$	1.88839	+	0.991103i	0.127315	+	0.0668201i
$221$	0.720021	−	0.830297i	0.0484338	−	0.0558518i
$222$	4.02459	−	2.11227i	0.270113	−	0.141766i
$223$	−20.8786	−	2.53513i	−1.39814	−	0.169765i	−0.613488	−	0.789704i	$-0.710234\pi$
$223$	−20.8786	−	2.53513i	−1.39814	−	0.169765i	−0.784649	+	0.619940i	$0.787157\pi$
$224$	−2.04461	+	0.503950i	−0.136611	+	0.0336716i
$225$	−5.10058	+	7.38946i	−0.340039	+	0.492631i
$226$	−4.41453	+	3.04713i	−0.293650	+	0.202692i
$227$	−2.26550	+	2.55722i	−0.150367	+	0.169729i	−0.818868	−	0.573982i	$-0.805398\pi$
$227$	−2.26550	+	2.55722i	−0.150367	+	0.169729i	0.668501	+	0.743711i	$0.266936\pi$
$228$	−0.307798	−	0.0373735i	−0.0203844	−	0.00247512i
$229$	−1.07048	+	4.34311i	−0.0707394	+	0.287001i	−0.995649	−	0.0931870i	$-0.970295\pi$
$229$	−1.07048	+	4.34311i	−0.0707394	+	0.287001i	0.924909	+	0.380188i	$0.124141\pi$
$230$	18.0481	+	9.47239i	1.19006	+	0.624591i
$231$	−2.33124	+	19.1995i	−0.153385	+	1.26324i
$232$	−1.22271	+	0.148464i	−0.0802751	+	0.00974716i
$233$	12.8321	−	18.5905i	0.840659	−	1.21790i	−0.133276	−	0.991079i	$-0.542550\pi$
$233$	12.8321	−	18.5905i	0.840659	−	1.21790i	0.973935	−	0.226826i	$-0.0728349\pi$
$234$	−1.80299	+	4.91040i	−0.117865	+	0.321003i
$235$	26.1490	+	37.8834i	1.70577	+	2.47124i
$236$	0.384302	+	0.433787i	0.0250159	+	0.0282371i
$237$	16.1596	+	3.98299i	1.04968	+	0.258723i
$238$	−0.892930	−	1.29363i	−0.0578801	−	0.0838537i
$239$			11.6994i			0.756770i	0.925648	+	0.378385i	$0.123520\pi$
$239$			11.6994i			0.756770i	−0.925648	+	0.378385i	$0.876480\pi$
$240$	−12.9193	+	8.91757i	−0.833939	+	0.575626i
$241$	−14.1196	+	1.71443i	−0.909526	+	0.110436i	−0.561908	−	0.827200i	$-0.689932\pi$
$241$	−14.1196	+	1.71443i	−0.909526	+	0.110436i	−0.347618	+	0.937636i	$0.613009\pi$
$242$	25.2391	−	9.57193i	1.62243	−	0.615307i
$243$	0.120537	−	0.992709i	0.00773243	−	0.0636823i
$244$	−0.293829	−	0.774763i	−0.0188105	−	0.0495991i
$245$	13.9699	−	15.7688i	0.892504	−	1.00743i
$246$	6.68614	+	5.92341i	0.426293	+	0.377663i
$247$	3.88691	+	9.93027i	0.247318	+	0.631848i
$248$	1.29914	−	1.15094i	0.0824954	−	0.0730846i
$249$		−	17.4599i		−	1.10648i
$250$	−16.1548	−	14.3119i	−1.02172	−	0.905166i
$251$	4.59210	−	1.13185i	0.289851	−	0.0714418i	−0.0917093	−	0.995786i	$-0.529233\pi$
$251$	4.59210	−	1.13185i	0.289851	−	0.0714418i	0.381560	+	0.924344i	$0.375387\pi$
$252$	0.306671	+	0.211680i	0.0193185	+	0.0133346i
$253$	19.1173	−	7.25025i	1.20190	−	0.455819i
$254$	−14.6293	+	5.54816i	−0.917924	+	0.348123i
$255$	−0.937901	−	0.647387i	−0.0587337	−	0.0405409i
$256$	−2.43630	+	0.600494i	−0.152269	+	0.0375309i
$257$	−8.46645	−	7.50062i	−0.528123	−	0.467876i	0.356426	−	0.934324i	$-0.383995\pi$
$257$	−8.46645	−	7.50062i	−0.528123	−	0.467876i	−0.884549	+	0.466448i	$0.845534\pi$
$258$		−	2.11121i		−	0.131438i
$259$	−8.33537	+	7.38449i	−0.517935	+	0.458850i
$260$	−1.25823	−	0.643457i	−0.0780320	−	0.0399055i
$261$	0.335309	+	0.297058i	0.0207551	+	0.0183874i
$262$	−18.8844	+	21.3161i	−1.16668	+	1.31691i
$263$	−8.94772	−	23.5932i	−0.551740	−	1.45482i	−0.863348	−	0.504609i	$-0.831637\pi$
$263$	−8.94772	−	23.5932i	−0.551740	−	1.45482i	0.311608	−	0.950211i	$-0.399132\pi$
$264$	−1.80328	+	14.8513i	−0.110984	+	0.914037i
$265$	−12.5197	+	4.74809i	−0.769077	+	0.291673i
$266$	15.1410	−	1.83845i	0.928356	−	0.112723i
$267$	8.18774	−	5.65159i	0.501081	−	0.345871i
$268$			0.873865i			0.0533798i
$269$	−12.1735	−	17.6364i	−0.742233	−	1.07531i	−0.994197	−	0.107574i	$-0.965692\pi$
$269$	−12.1735	−	17.6364i	−0.742233	−	1.07531i	0.251964	−	0.967737i	$-0.418924\pi$
$270$	5.26669	+	1.29812i	0.320521	+	0.0790013i
$271$	−7.98895	−	9.01766i	−0.485294	−	0.547784i	0.453953	−	0.891026i	$-0.350013\pi$
$271$	−7.98895	−	9.01766i	−0.485294	−	0.547784i	−0.939247	+	0.343242i	$0.888475\pi$
$272$	−0.727010	−	1.05326i	−0.0440814	−	0.0638630i
$273$	1.40990	−	12.7382i	0.0853310	−	0.770952i
$274$	−10.3789	+	15.0365i	−0.627013	+	0.908385i
$275$	−48.4988	+	5.88882i	−2.92459	+	0.355109i
$276$	0.0474832	−	0.391060i	0.00285816	−	0.0235390i
$277$	2.75215	+	1.44444i	0.165360	+	0.0867878i	0.545373	−	0.838193i	$-0.316388\pi$
$277$	2.75215	+	1.44444i	0.165360	+	0.0867878i	−0.380013	+	0.924981i	$0.624080\pi$
$278$	−2.03870	+	8.27135i	−0.122273	+	0.496083i
$279$	−0.626647	−	0.0760888i	−0.0375164	−	0.00455532i
$280$	24.2308	−	27.3509i	1.44806	−	1.63453i
$281$	22.1922	−	15.3181i	1.32387	−	0.913803i	0.324389	−	0.945924i	$-0.394841\pi$
$281$	22.1922	−	15.3181i	1.32387	−	0.913803i	0.999484	+	0.0321205i	$0.0102260\pi$
$282$	10.1468	−	14.7001i	0.604232	−	0.875381i
$283$	−11.7504	+	2.89622i	−0.698489	+	0.172162i	−0.572543	−	0.819875i	$-0.694043\pi$
$283$	−11.7504	+	2.89622i	−0.698489	+	0.172162i	−0.125947	+	0.992037i	$0.540197\pi$
$284$	−0.876517	−	0.106428i	−0.0520117	−	0.00631537i
$285$	9.79144	−	5.13894i	0.579995	−	0.304405i
$286$	−26.5042	+	10.3743i	−1.56722	+	0.613443i
$287$	−19.3783	−	10.1705i	−1.14387	−	0.600348i
$288$	0.487559	+	0.336537i	0.0287297	+	0.0198307i
$289$	−9.60432	+	13.9143i	−0.564960	+	0.818486i
$290$	−1.81882	+	1.61133i	−0.106805	+	0.0946208i
$291$	−7.94112	−	8.96367i	−0.465517	−	0.525460i
$292$	−1.08606	−	0.411886i	−0.0635566	−	0.0241038i
$293$	7.03253	−	13.3994i	0.410845	−	0.782799i	−0.588831	−	0.808256i	$-0.700412\pi$
$293$	7.03253	−	13.3994i	0.410845	−	0.782799i	0.999676	+	0.0254567i	$0.00810401\pi$
$294$	−7.64349	−	2.89879i	−0.445777	−	0.169061i
$295$	−20.0681	−	4.94635i	−1.16841	−	0.287988i
$296$	−6.44763	+	5.71210i	−0.374761	+	0.332009i
$297$	4.47795	−	3.09090i	0.259837	−	0.179352i
$298$	5.20266	+	13.7183i	0.301382	+	0.794679i
$299$	−12.6165	+	4.93834i	−0.729630	+	0.285592i
$300$	−0.333785	+	0.880119i	−0.0192711	+	0.0508137i
$301$	1.23787	+	5.02224i	0.0713497	+	0.289477i
$302$	29.8345	−	15.6584i	1.71678	−	0.901038i
$303$	5.33155	+	14.0581i	0.306289	+	0.807619i
$304$	12.3276	−	1.49684i	0.707035	−	0.0858496i
$305$	24.3207	+	16.7874i	1.39260	+	0.961243i
$306$	−0.105830	+	0.429370i	−0.00604991	+	0.0245455i
$307$	6.67860	+	27.0962i	0.381168	+	1.54646i	0.777818	+	0.628490i	$0.216327\pi$
$307$	6.67860	+	27.0962i	0.381168	+	1.54646i	−0.396650	+	0.917970i	$0.629827\pi$
$308$	0.244393	+	2.01276i	0.0139256	+	0.114687i
$309$	3.48319	−	9.18441i	0.198152	−	0.522483i
$310$	0.819441	−	3.32460i	0.0465411	−	0.188825i
$311$	−0.923725	+	0.227678i	−0.0523796	+	0.0129104i	−0.265418	−	0.964133i	$-0.585510\pi$
$311$	−0.923725	+	0.227678i	−0.0523796	+	0.0129104i	0.213039	+	0.977044i	$0.431664\pi$
$312$	1.09059	−	9.85335i	0.0617428	−	0.557836i
$313$	−7.66630	−	1.88957i	−0.433325	−	0.106805i	0.0166188	−	0.999862i	$-0.494710\pi$
$313$	−7.66630	−	1.88957i	−0.433325	−	0.106805i	−0.449944	+	0.893057i	$0.648556\pi$
$314$	−1.98366	+	3.77955i	−0.111945	+	0.213293i
$315$	−13.2898			−0.748793
$316$	1.74477			0.0981511
$317$	−1.08333	+	2.06411i	−0.0608459	+	0.115932i	−0.913980	−	0.405760i	$-0.867007\pi$
$317$	−1.08333	+	2.06411i	−0.0608459	+	0.115932i	0.853134	+	0.521692i	$0.174699\pi$
$318$	3.44541	+	3.88906i	0.193209	+	0.218088i
$319$			2.43744i			0.136471i
$320$	18.6886	−	21.0951i	1.04473	−	1.17925i
$321$	6.33882	−	3.32687i	0.353799	−	0.185688i
$322$	2.33577	+	19.2368i	0.130167	+	1.07202i
$323$	0.418955	+	0.798253i	0.0233113	+	0.0444160i
$324$	−0.0126363	−	0.104069i	−0.000702017	−	0.00578163i
$325$	32.0946	−	4.24255i	1.78029	−	0.235334i
$326$	2.03426	−	16.7536i	0.112667	−	0.927898i
$327$	5.87783	−	2.22917i	0.325045	−	0.123273i
$328$	−14.9897	−	7.86718i	−0.827666	−	0.434393i
$329$	−15.5184	+	40.9186i	−0.855557	+	2.25592i
$330$	13.7160	+	26.1336i	0.755040	+	1.43861i
$331$	−6.71412	−	12.7927i	−0.369041	−	0.703149i	0.628146	−	0.778095i	$-0.283814\pi$
$331$	−6.71412	−	12.7927i	−0.369041	−	0.703149i	−0.997188	+	0.0749458i	$0.976122\pi$
$332$	−0.438040	−	1.77720i	−0.0240406	−	0.0975365i
$333$	3.11005	+	0.377629i	0.170430	+	0.0206939i
$334$	21.7499	+	19.2687i	1.19010	+	1.05434i
$335$	−17.7042	−	25.6490i	−0.967286	−	1.40136i
$336$	−13.9544	−	5.29222i	−0.761277	−	0.288714i
$337$	−22.2898			−1.21420			−0.607101	−	0.794625i	$-0.707668\pi$
$337$	−22.2898			−1.21420			−0.607101	+	0.794625i	$0.707668\pi$
$338$	17.4891	−	7.06022i	0.951284	−	0.384025i
$339$	−3.69730			−0.200810
$340$	−0.111708	−	0.0423654i	−0.00605824	−	0.00229759i
$341$	−1.95113	−	2.82670i	−0.105660	−	0.153075i
$342$	−3.21181	−	2.84542i	−0.173675	−	0.153863i
$343$	−4.81794	−	0.585004i	−0.260144	−	0.0315872i
$344$	0.957526	+	3.88484i	0.0516264	+	0.209456i
$345$	6.52906	+	12.4401i	0.351513	+	0.669752i
$346$	−2.51026	−	4.78290i	−0.134952	−	0.257130i
$347$	−0.994000	+	2.62096i	−0.0533607	+	0.140701i	−0.959046	−	0.283249i	$-0.908588\pi$
$347$	−0.994000	+	2.62096i	−0.0533607	+	0.140701i	0.905686	+	0.423950i	$0.139357\pi$
$348$	0.0415829	+	0.0218244i	0.00222908	+	0.00116991i
$349$	−2.59078	+	0.982554i	−0.138681	+	0.0525949i	−0.422969	−	0.906144i	$-0.639012\pi$
$349$	−2.59078	+	0.982554i	−0.138681	+	0.0525949i	0.284288	+	0.958739i	$0.408243\pi$
$350$	5.58124	−	45.9656i	0.298330	−	2.45697i
$351$	−2.94544	+	2.07951i	−0.157216	+	0.110996i
$352$	0.388546	+	3.19996i	0.0207096	+	0.170559i
$353$	−8.61087	−	16.4066i	−0.458310	−	0.873238i	−0.999477	−	0.0323224i	$-0.989710\pi$
$353$	−8.61087	−	16.4066i	−0.458310	−	0.873238i	0.541167	−	0.840915i	$-0.317983\pi$
$354$	0.966731	+	7.96175i	0.0513812	+	0.423162i
$355$	27.8831	−	14.6342i	1.47988	−	0.776701i
$356$	0.691619	−	0.780677i	0.0366557	−	0.0413758i
$357$		−	1.08345i		−	0.0573425i
$358$	18.2890	+	20.6440i	0.966601	+	1.09107i
$359$	−3.68903	+	7.02885i	−0.194699	+	0.370969i	−0.963160	−	0.268928i	$-0.913331\pi$
$359$	−3.68903	+	7.02885i	−0.194699	+	0.370969i	0.768461	+	0.639897i	$0.221023\pi$
$360$	−10.2800			−0.541802
$361$	10.2524			0.539602
$362$	1.40404	−	2.67518i	0.0737947	−	0.140604i
$363$	18.0650	+	4.45263i	0.948169	+	0.233703i
$364$	−0.176071	−	1.33196i	−0.00922861	−	0.0698137i
$365$	40.2218	−	9.91378i	2.10530	−	0.518911i
$366$	2.74428	−	11.1340i	0.143446	−	0.581984i
$367$	3.60145	−	9.49624i	0.187994	−	0.495700i	−0.807571	−	0.589770i	$-0.799218\pi$
$367$	3.60145	−	9.49624i	0.187994	−	0.495700i	0.995566	+	0.0940699i	$0.0299877\pi$
$368$	1.90174	+	15.6623i	0.0991353	+	0.816453i
$369$	1.47347	+	5.97808i	0.0767055	+	0.311207i
$370$	−4.06689	+	16.5000i	−0.211427	+	0.857794i
$371$	−10.4763	−	7.23130i	−0.543905	−	0.375430i
$372$	−0.0656937	+	0.00797666i	−0.00340606	+	0.000413571i
$373$	4.82826	+	12.7311i	0.249998	+	0.659189i	0.999997	−	0.00224850i	$-0.000715720\pi$
$373$	4.82826	+	12.7311i	0.249998	+	0.659189i	−0.750000	+	0.661438i	$0.769946\pi$
$374$	−2.13056	+	1.11820i	−0.110169	+	0.0578209i
$375$	−3.56014	−	14.4440i	−0.183845	−	0.745887i
$376$	−12.0039	+	31.6517i	−0.619054	+	1.63231i
$377$	−0.0171149	−	1.61508i	−0.000881461	−	0.0831808i
$378$	1.82867	+	4.82180i	0.0940564	+	0.248006i
$379$	2.55538	−	1.76385i	0.131261	−	0.0906028i	−0.500625	−	0.865664i	$-0.666896\pi$
$379$	2.55538	−	1.76385i	0.131261	−	0.0906028i	0.631886	+	0.775061i	$0.282281\pi$
$380$	0.867717	−	0.768730i	0.0445130	−	0.0394350i
$381$	−10.4710	−	2.58087i	−0.536446	−	0.132222i
$382$	−29.4537	−	11.1703i	−1.50698	−	0.571523i
$383$	5.66681	−	10.7972i	0.289560	−	0.551711i	−0.696609	−	0.717451i	$-0.745309\pi$
$383$	5.66681	−	10.7972i	0.289560	−	0.551711i	0.986170	+	0.165740i	$0.0530011\pi$
$384$	−11.3332	−	4.29810i	−0.578343	−	0.219336i
$385$	−47.9511	−	54.1256i	−2.44381	−	2.75849i
$386$	19.3278	−	17.1230i	0.983761	−	0.871536i
$387$	0.826649	−	1.19761i	0.0420209	−	0.0608778i
$388$	−1.03319	−	0.713159i	−0.0524522	−	0.0362052i
$389$	1.04571	+	0.548832i	0.0530197	+	0.0278269i	0.491025	−	0.871146i	$-0.336622\pi$
$389$	1.04571	+	0.548832i	0.0530197	+	0.0278269i	−0.438005	+	0.898973i	$0.644315\pi$
$390$	−9.27188	−	17.2202i	−0.469500	−	0.871976i
$391$	−1.01419	+	0.532286i	−0.0512896	+	0.0269188i
$392$	15.3795	+	1.86741i	0.776781	+	0.0943183i
$393$	−19.0587	+	4.69755i	−0.961384	+	0.236960i
$394$	−1.04975	+	1.52083i	−0.0528857	+	0.0766182i
$395$	−51.2113	+	35.3486i	−2.57672	+	1.77858i
$396$	0.378253	−	0.426959i	0.0190079	−	0.0214555i
$397$	25.5578	+	3.10328i	1.28271	+	0.155749i	0.733359	−	0.679842i	$-0.237952\pi$
$397$	25.5578	+	3.10328i	1.28271	+	0.155749i	0.549352	+	0.835591i	$0.314875\pi$
$398$	−7.12270	+	28.8979i	−0.357029	+	1.44852i
$399$	9.30875	+	4.88561i	0.466020	+	0.244586i
$400$	4.54416	−	37.4245i	0.227208	−	1.87123i
$401$	5.66849	−	0.688279i	0.283071	−	0.0343710i	0.0222301	−	0.999753i	$-0.492923\pi$
$401$	5.66849	−	0.688279i	0.283071	−	0.0343710i	0.260841	+	0.965382i	$0.416000\pi$
$402$	−6.86990	+	9.95276i	−0.342639	+	0.496399i
$403$	1.31269	+	1.85931i	0.0653899	+	0.0926188i
$404$	0.895379	+	1.29718i	0.0445468	+	0.0645371i
$405$	2.47930	+	2.79856i	0.123198	+	0.139061i
$406$	−2.24300	−	0.552850i	−0.111318	−	0.0274375i
$407$	9.68348	+	14.0289i	0.479992	+	0.695389i
$408$		−	0.838081i		−	0.0414912i
$409$	−12.0752	+	8.33493i	−0.597082	+	0.412136i	−0.827912	−	0.560858i	$-0.810471\pi$
$409$	−12.0752	+	8.33493i	−0.597082	+	0.412136i	0.230830	+	0.972994i	$0.425856\pi$
$410$	−33.1540	+	4.02562i	−1.63736	+	0.198811i
$411$	−11.7751	+	4.46570i	−0.580823	+	0.220277i
$412$	0.124123	−	1.02224i	0.00611510	−	0.0503623i
$413$	−6.96792	−	18.3729i	−0.342869	−	0.904071i
$414$	3.61512	−	4.08063i	0.177674	−	0.200552i
$415$	48.8626	+	43.2885i	2.39857	+	2.12495i
$416$	−0.279924	−	2.11761i	−0.0137244	−	0.103824i
$417$	−4.39514	+	3.89375i	−0.215231	+	0.190678i
$418$		−	23.3475i		−	1.14196i
$419$	−20.2330	−	17.9249i	−0.988446	−	0.875687i	0.00379769	−	0.999993i	$-0.498791\pi$
$419$	−20.2330	−	17.9249i	−0.988446	−	0.875687i	−0.992244	+	0.124306i	$0.960330\pi$
$420$	−1.35273	+	0.333418i	−0.0660064	+	0.0162691i
$421$	11.3523	+	7.83591i	0.553276	+	0.381899i	0.811648	−	0.584147i	$-0.198571\pi$
$421$	11.3523	+	7.83591i	0.553276	+	0.381899i	−0.258372	+	0.966045i	$0.583186\pi$
$422$	13.9691	−	5.29779i	0.680006	−	0.257892i
$423$	11.5117	−	4.36582i	0.559719	−	0.212273i
$424$	−8.10374	−	5.59361i	−0.393552	−	0.271650i
$425$	2.65733	−	0.654972i	0.128899	−	0.0317708i
$426$	−9.14629	−	8.10290i	−0.443139	−	0.392587i
$427$			28.0951i			1.35962i
$428$	0.561746	−	0.497664i	0.0271530	−	0.0240555i
$429$	−19.0968	−	4.49284i	−0.922003	−	0.216916i
$430$	5.90835	+	5.23434i	0.284926	+	0.252422i
$431$	−11.0256	+	12.4454i	−0.531085	+	0.599472i	−0.951419	−	0.307898i	$-0.900374\pi$
$431$	−11.0256	+	12.4454i	−0.531085	+	0.599472i	0.420334	+	0.907369i	$0.361913\pi$
$432$	1.48887	+	3.92583i	0.0716334	+	0.188882i
$433$	1.80132	−	14.8352i	0.0865658	−	0.712934i	−0.883217	−	0.468964i	$-0.844627\pi$
$433$	1.80132	−	14.8352i	0.0865658	−	0.712934i	0.969783	−	0.243969i	$-0.0784497\pi$
$434$	3.04376	−	1.15435i	0.146105	−	0.0554104i
$435$	−1.66266	+	0.201884i	−0.0797187	+	0.00967960i
$436$	0.542363	−	0.374366i	0.0259745	−	0.0179289i
$437$		−	11.1138i		−	0.531647i
$438$	−9.13143	−	13.2292i	−0.436317	−	0.632114i
$439$	−35.9468	−	8.86008i	−1.71565	−	0.422869i	−0.745718	−	0.666261i	$-0.767893\pi$
$439$	−35.9468	−	8.86008i	−1.71565	−	0.422869i	−0.969928	+	0.243393i	$0.921740\pi$
$440$	−37.0914	−	41.8676i	−1.76827	−	1.99596i
$441$	−3.20082	−	4.63719i	−0.152420	−	0.220819i
$442$	1.40388	−	0.755895i	0.0667759	−	0.0359543i
$443$	12.4763	−	18.0751i	0.592768	−	0.858773i	−0.405705	−	0.914004i	$-0.632974\pi$
$443$	12.4763	−	18.0751i	0.592768	−	0.858773i	0.998474	+	0.0552307i	$0.0175894\pi$
$444$	0.326038	−	0.0395882i	0.0154731	−	0.00187877i
$445$	−4.48361	+	36.9258i	−0.212543	+	1.75045i
$446$	−27.0182	−	14.1802i	−1.27935	−	0.671454i
$447$	−2.42015	+	9.81895i	−0.114469	+	0.464421i
$448$	26.5981	+	3.22959i	1.25664	+	0.152584i
$449$	17.7095	−	19.9899i	0.835763	−	0.943381i	−0.163304	−	0.986576i	$-0.552215\pi$
$449$	17.7095	−	19.9899i	0.835763	−	0.943381i	0.999067	+	0.0431949i	$0.0137536\pi$
$450$	−10.7207	+	7.39994i	−0.505377	+	0.348837i
$451$	−19.0307	+	27.5707i	−0.896120	+	1.29825i
$452$	−0.376338	+	0.0927590i	−0.0177015	+	0.00436302i
$453$	23.0550	+	2.79938i	1.08322	+	0.131527i
$454$	−4.38880	+	2.30342i	−0.205977	+	0.108105i
$455$	32.1530	+	35.5276i	1.50736	+	1.66556i
$456$	7.20057	+	3.77915i	0.337198	+	0.176975i
$457$	31.0028	+	21.3997i	1.45025	+	1.00103i	0.993788	+	0.111292i	$0.0354989\pi$
$457$	31.0028	+	21.3997i	1.45025	+	1.00103i	0.456462	+	0.889743i	$0.349117\pi$
$458$	−3.68650	+	5.34082i	−0.172259	+	0.249560i
$459$	−0.228154	+	0.202127i	−0.0106493	+	0.00943447i
$460$	0.976677	+	1.10244i	0.0455378	+	0.0514016i
$461$	−8.12559	−	3.08163i	−0.378446	−	0.143526i	0.158044	−	0.987432i	$-0.449481\pi$
$461$	−8.12559	−	3.08163i	−0.378446	−	0.143526i	−0.536491	+	0.843906i	$0.680250\pi$
$462$	−13.0398	+	24.8453i	−0.606667	+	1.15591i
$463$	−17.5772	−	6.66617i	−0.816884	−	0.309803i	−0.0894589	−	0.995991i	$-0.528514\pi$
$463$	−17.5772	−	6.66617i	−0.816884	−	0.309803i	−0.727425	+	0.686187i	$0.759283\pi$
$464$	−1.82622	−	0.450122i	−0.0847800	−	0.0208964i
$465$	1.76659	−	1.56506i	0.0819236	−	0.0725780i
$466$	26.9712	−	18.6169i	1.24942	−	0.862410i
$467$	−12.2742	−	32.3644i	−0.567983	−	1.49765i	−0.843918	−	0.536472i	$-0.819757\pi$
$467$	−12.2742	−	32.3644i	−0.567983	−	1.49765i	0.275935	−	0.961176i	$-0.411012\pi$
$468$	−0.247637	+	0.285564i	−0.0114470	+	0.0132002i
$469$	10.5068	−	27.7041i	0.485157	−	1.27925i
$470$	15.9822	+	64.8424i	0.737205	+	2.99096i
$471$	−2.60514	+	1.36728i	−0.120039	+	0.0630011i
$472$	−5.38987	−	14.2119i	−0.248089	−	0.654157i
$473$	7.86019	−	0.954400i	0.361412	−	0.0438833i
$474$	19.8719	+	13.7166i	0.912744	+	0.630022i
$475$	−6.35530	+	25.7845i	−0.291601	+	1.18307i
$476$	−0.0271821	−	0.110282i	−0.00124589	−	0.00505477i
$477$	0.431675	+	3.55516i	0.0197650	+	0.162780i
$478$	−6.01889	+	15.8705i	−0.275298	+	0.725900i
$479$	−6.22173	+	25.2425i	−0.284278	+	1.15336i	0.638993	+	0.769212i	$0.279351\pi$
$479$	−6.22173	+	25.2425i	−0.284278	+	1.15336i	−0.923271	+	0.384149i	$0.874495\pi$
$480$	−2.15063	+	0.530082i	−0.0981622	+	0.0241948i
$481$	−6.51490	−	9.22776i	−0.297054	−	0.420750i
$482$	−20.0357	−	4.93835i	−0.912599	−	0.224936i
$483$	−6.20720	+	11.8268i	−0.282437	+	0.538139i
$484$	1.95050			0.0886592
$485$	44.7738			2.03307
$486$	0.674222	−	1.28462i	0.0305834	−	0.0582717i
$487$	8.87230	+	10.0148i	0.402042	+	0.453812i	0.914311	−	0.405014i	$-0.132733\pi$
$487$	8.87230	+	10.0148i	0.402042	+	0.453812i	−0.512269	+	0.858825i	$0.671195\pi$
$488$			21.7323i			0.983774i
$489$	7.71387	−	8.70716i	0.348833	−	0.393751i
$490$	27.0630	−	14.2037i	1.22258	−	0.641660i
$491$	4.74492	+	39.0780i	0.214135	+	1.76356i	0.563063	+	0.826414i	$0.309623\pi$
$491$	4.74492	+	39.0780i	0.214135	+	1.76356i	−0.348928	+	0.937150i	$0.613454\pi$
$492$	0.299960	+	0.571526i	0.0135233	+	0.0257664i
$493$	−0.0164587	−	0.135550i	−0.000741263	−	0.00610485i
$494$	0.163938	+	15.4703i	0.00737592	+	0.696043i
$495$	−2.45213	+	20.1951i	−0.110215	+	0.907701i
$496$	2.47818	−	0.939850i	0.111274	−	0.0422005i
$497$	26.5085	+	13.9128i	1.18907	+	0.624072i
$498$	8.98248	−	23.6848i	0.402514	−	1.06134i
$499$	5.88258	+	11.2083i	0.263341	+	0.501754i	0.980842	−	0.194803i	$-0.0624068\pi$
$499$	5.88258	+	11.2083i	0.263341	+	0.501754i	−0.717502	+	0.696557i	$0.754714\pi$
$500$	−0.724754	−	1.38090i	−0.0324120	−	0.0617559i
$501$	4.79315	+	19.4466i	0.214142	+	0.868808i
$502$	6.81160	+	0.827078i	0.304017	+	0.0369143i
$503$	30.7605	+	27.2514i	1.37154	+	1.21508i	0.951527	+	0.307565i	$0.0995142\pi$
$503$	30.7605	+	27.2514i	1.37154	+	1.21508i	0.420017	+	0.907516i	$0.362024\pi$
$504$	−5.55181	−	8.04319i	−0.247297	−	0.358272i
$505$	−52.5610	−	19.9338i	−2.33893	−	0.887041i
$506$	29.6631			1.31869
$507$	12.6853	+	2.84292i	0.563376	+	0.126259i
$508$	−1.13057			−0.0501608
$509$	9.71258	+	3.68350i	0.430503	+	0.163268i	0.560332	−	0.828268i	$-0.310674\pi$
$509$	9.71258	+	3.68350i	0.430503	+	0.163268i	−0.129829	+	0.991536i	$0.541443\pi$
$510$	−0.939231	−	1.36071i	−0.0415899	−	0.0602533i
$511$	29.4789	+	26.1160i	1.30407	+	1.15530i
$512$	20.4510	+	2.48321i	0.903817	+	0.109743i
$513$	−0.707807	−	2.87168i	−0.0312504	−	0.126788i
$514$	−7.62617	−	14.5305i	−0.336376	−	0.640911i
$515$	17.0672	+	32.5188i	0.752071	+	1.43295i
$516$	0.0540964	−	0.142641i	0.00238146	−	0.00627940i
$517$	59.3166	+	31.1317i	2.60874	+	1.36917i
$518$	−15.1062	+	5.72902i	−0.663728	+	0.251719i
$519$	0.448781	−	3.69604i	0.0196993	−	0.162238i
$520$	24.8712	+	27.4815i	1.09068	+	1.20515i
$521$	−2.41007	−	19.8487i	−0.105587	−	0.869586i	−0.945220	−	0.326433i	$-0.894153\pi$
$521$	−2.41007	−	19.8487i	−0.105587	−	0.869586i	0.839633	−	0.543153i	$-0.182770\pi$
$522$	0.302030	+	0.575470i	0.0132195	+	0.0251876i
$523$	2.86616	+	23.6049i	0.125328	+	1.03217i	0.910677	+	0.413119i	$0.135561\pi$
$523$	2.86616	+	23.6049i	0.125328	+	1.03217i	−0.785349	+	0.619054i	$0.787516\pi$
$524$	−1.82208	+	0.956302i	−0.0795980	+	0.0417762i
$525$	21.1639	−	23.8891i	0.923670	−	1.04261i
$526$		−	36.6081i		−	1.59619i
$527$	0.127592	+	0.144022i	0.00555802	+	0.00627370i
$528$	−10.6168	+	20.2287i	−0.462038	+	0.880339i
$529$	−8.87980			−0.386078
$530$	−19.4260			−0.843810
$531$	−2.56905	+	4.89491i	−0.111487	+	0.212421i
$532$	1.07008	+	0.263752i	0.0463941	+	0.0114351i
$533$	12.4164	−	18.4023i	0.537813	−	0.797093i
$534$	14.0144	−	3.45424i	0.606462	−	0.149480i
$535$	−6.40544	+	25.9879i	−0.276931	+	1.12355i
$536$	8.12727	−	21.4298i	0.351044	−	0.925628i
$537$	2.29142	+	18.8716i	0.0988822	+	0.814368i
$538$	−7.44044	−	30.1871i	−0.320780	−	1.30146i
$539$	7.33706	−	29.7676i	0.316030	−	1.28218i
$540$	0.322573	+	0.222656i	0.0138813	+	0.00958159i
$541$	−8.10119	+	0.983663i	−0.348297	+	0.0422910i	−0.292816	−	0.956169i	$-0.594592\pi$
$541$	−8.10119	+	0.983663i	−0.348297	+	0.0422910i	−0.0554813	+	0.998460i	$0.517669\pi$
$542$	−6.19797	−	16.3427i	−0.266226	−	0.701979i
$543$	1.84393	−	0.967767i	0.0791304	−	0.0415308i
$544$	−0.0432152	−	0.175331i	−0.00185284	−	0.00751725i
$545$	−8.33448	+	21.9762i	−0.357010	+	0.941358i
$546$	8.46589	−	16.5544i	0.362307	−	0.708462i
$547$	1.10187	+	2.90540i	0.0471126	+	0.124226i	0.956507	−	0.291709i	$-0.0942238\pi$
$547$	1.10187	+	2.90540i	0.0471126	+	0.124226i	−0.909395	+	0.415935i	$0.863455\pi$
$548$	−1.08652	+	0.749970i	−0.0464138	+	0.0320371i
$549$	5.91626	−	5.24135i	0.252500	−	0.223695i
$550$	−68.8195	−	16.9625i	−2.93447	−	0.723283i
$551$	1.23882	+	0.469824i	0.0527757	+	0.0200152i
$552$	−4.80143	+	9.14837i	−0.204363	+	0.389380i
$553$	−55.3144	−	20.9780i	−2.35221	−	0.892075i
$554$	2.99025	+	3.37529i	0.127043	+	0.143402i
$555$	−8.76759	+	7.76740i	−0.372163	+	0.329708i
$556$	−0.349682	+	0.506601i	−0.0148298	+	0.0214847i
$557$	8.94504	+	6.17432i	0.379014	+	0.261614i	0.742306	−	0.670061i	$-0.233732\pi$
$557$	8.94504	+	6.17432i	0.379014	+	0.261614i	−0.363292	+	0.931675i	$0.618347\pi$
$558$	−0.810919	−	0.425603i	−0.0343289	−	0.0180172i
$559$	−5.20156	+	0.687589i	−0.220002	+	0.0290819i
$560$	49.4079	−	25.9313i	2.08786	−	1.09580i
$561$	−1.64642	−	0.199911i	−0.0695117	−	0.00844025i
$562$	37.9848	−	9.36242i	1.60229	−	0.394930i
$563$	22.6129	−	32.7604i	0.953018	−	1.38069i	0.0284805	−	0.999594i	$-0.490933\pi$
$563$	22.6129	−	32.7604i	0.953018	−	1.38069i	0.924538	−	0.381091i	$-0.124451\pi$
$564$	1.06222	−	0.733195i	0.0447274	−	0.0308731i
$565$	9.16673	−	10.3471i	0.385647	−	0.435306i
$566$	−17.4297	−	2.11635i	−0.732626	−	0.0889569i
$567$	−0.850652	+	3.45123i	−0.0357240	+	0.144938i
$568$	20.5051	+	10.7619i	0.860373	+	0.451559i
$569$	−0.345587	+	2.84616i	−0.0144877	+	0.119317i	−0.998158	−	0.0606602i	$-0.980679\pi$
$569$	−0.345587	+	2.84616i	−0.0144877	+	0.119317i	0.983671	+	0.179977i	$0.0576025\pi$
$570$	15.9261	−	1.93378i	0.667072	−	0.0809973i
$571$	−10.2896	+	14.9071i	−0.430608	+	0.623843i	−0.976886	−	0.213761i	$-0.931429\pi$
$571$	−10.2896	+	14.9071i	−0.430608	+	0.623843i	0.546278	+	0.837604i	$0.316044\pi$
$572$	−2.05653	+	0.0217929i	−0.0859879	+	0.000911208i
$573$	−12.3342	−	17.8691i	−0.515267	−	0.746493i
$574$	−21.0549	−	23.7660i	−0.878813	−	0.991975i
$575$	−32.7594	−	8.07446i	−1.36616	−	0.336728i
$576$	−4.28199	−	6.20353i	−0.178416	−	0.258481i
$577$		−	30.7459i		−	1.27997i	−0.768389	−	0.639983i	$-0.778941\pi$
$577$		−	30.7459i		−	1.27997i	0.768389	−	0.639983i	$-0.221059\pi$
$578$	−20.1869	+	13.9340i	−0.839663	+	0.579578i
$579$	17.6684	−	2.14534i	0.734275	−	0.0891572i
$580$	−0.164173	+	0.0622627i	−0.00681693	+	0.00258532i
$581$	−7.48070	+	61.6091i	−0.310352	+	2.55598i
$582$	−6.16086	−	16.2449i	−0.255376	−	0.673371i
$583$	−12.9217	+	14.5856i	−0.535162	+	0.604073i
$584$	22.8027	+	20.2014i	0.943583	+	0.835941i
$585$	1.48301	−	13.3987i	0.0613148	−	0.553969i
$586$	16.4333	−	14.5586i	0.678852	−	0.601411i
$587$			42.1032i			1.73778i	0.495002	+	0.868892i	$0.335167\pi$
$587$			42.1032i			1.73778i	−0.495002	+	0.868892i	$0.664833\pi$
$588$	−0.442142	−	0.391704i	−0.0182336	−	0.0161536i
$589$	−1.81275	+	0.446803i	−0.0746931	+	0.0184102i
$590$	−24.6782	−	17.0341i	−1.01599	−	0.701285i
$591$	−1.19096	+	0.451673i	−0.0489897	+	0.0185794i
$592$	−12.2992	+	4.66448i	−0.505495	+	0.191709i
$593$	28.8107	+	19.8866i	1.18311	+	0.816643i	0.986488	−	0.163836i	$-0.0523866\pi$
$593$	28.8107	+	19.8866i	1.18311	+	0.816643i	0.196624	+	0.980479i	$0.437002\pi$
$594$	7.66460	−	1.88916i	0.314483	−	0.0775130i
$595$	3.03211	+	2.68621i	0.124304	+	0.110124i
$596$			1.06016i			0.0434260i
$597$	−15.3555	+	13.6038i	−0.628457	+	0.556765i
$598$	−19.6552	+	0.208284i	−0.803759	+	0.00851738i
$599$	−4.21758	−	3.73645i	−0.172326	−	0.152667i	0.572552	−	0.819869i	$-0.305954\pi$
$599$	−4.21758	−	3.73645i	−0.172326	−	0.152667i	−0.744877	+	0.667201i	$0.767492\pi$
$600$	16.3709	−	18.4789i	0.668338	−	0.754398i
$601$	7.25985	+	19.1427i	0.296136	+	0.780846i	0.997671	+	0.0682108i	$0.0217290\pi$
$601$	7.25985	+	19.1427i	0.296136	+	0.780846i	−0.701535	+	0.712635i	$0.747502\pi$
$602$	−0.904550	+	7.44964i	−0.0368667	+	0.303624i
$603$	−7.79404	+	2.95589i	−0.317398	+	0.120373i
$604$	2.41694	−	0.293470i	0.0983439	−	0.0119411i
$605$	−57.2497	+	39.5166i	−2.32753	+	1.60658i
$606$			21.8131i			0.886097i
$607$	−0.474830	−	0.687910i	−0.0192728	−	0.0279214i	0.813229	−	0.581944i	$-0.197708\pi$
$607$	−0.474830	−	0.687910i	−0.0192728	−	0.0279214i	−0.832502	+	0.554022i	$0.813092\pi$
$608$	1.70127	+	0.419324i	0.0689955	+	0.0170059i
$609$	−1.05590	−	1.19186i	−0.0427871	−	0.0482966i
$610$	24.3552	+	35.2846i	0.986114	+	1.42863i
$611$	−39.5225	−	20.2118i	−1.59891	−	0.817681i
$612$	−0.0181522	+	0.0262979i	−0.000733758	+	0.00106303i
$613$	14.4841	−	1.75869i	0.585006	−	0.0710326i	0.177318	−	0.984154i	$-0.443258\pi$
$613$	14.4841	−	1.75869i	0.585006	−	0.0710326i	0.407689	+	0.913121i	$0.366335\pi$
$614$	−4.88026	+	40.1925i	−0.196951	+	1.62204i
$615$	−20.3832	−	10.6979i	−0.821929	−	0.431382i
$616$	12.7261	−	51.6319i	0.512750	−	2.08031i
$617$	4.11473	+	0.499619i	0.165653	+	0.0201139i	0.202943	−	0.979191i	$-0.434949\pi$
$617$	4.11473	+	0.499619i	0.165653	+	0.0201139i	−0.0372899	+	0.999304i	$0.511873\pi$
$618$	9.45006	−	10.6669i	0.380137	−	0.429086i
$619$	1.95649	−	1.35047i	0.0786380	−	0.0542799i	−0.528097	−	0.849184i	$-0.677094\pi$
$619$	1.95649	−	1.35047i	0.0786380	−	0.0542799i	0.606735	+	0.794904i	$0.292479\pi$
$620$	0.140552	−	0.203624i	0.00564469	−	0.00817774i
$621$	3.64849	−	0.899273i	0.146409	−	0.0360866i
$622$	−1.37019	−	0.166371i	−0.0549395	−	0.00667087i
$623$	−31.3127	+	16.4342i	−1.25452	+	0.658421i
$624$	6.89280	−	13.4783i	0.275933	−	0.539564i
$625$	9.49718	+	4.98450i	0.379887	+	0.199380i
$626$	−9.42742	−	6.50728i	−0.376795	−	0.260083i
$627$	9.14174	−	13.2441i	0.365086	−	0.528919i
$628$	−0.230868	+	0.204531i	−0.00921263	+	0.00816167i
$629$	−0.633242	−	0.714782i	−0.0252490	−	0.0285002i
$630$	−18.0279	−	6.83708i	−0.718248	−	0.272396i
$631$	4.46167	−	8.50099i	0.177616	−	0.338419i	−0.780330	−	0.625368i	$-0.784949\pi$
$631$	4.46167	−	8.50099i	0.177616	−	0.338419i	0.957946	+	0.286949i	$0.0926411\pi$
$632$	−42.7872	−	16.2270i	−1.70198	−	0.645477i
$633$	9.99849	+	2.46441i	0.397404	+	0.0979513i
$634$	−2.53147	+	2.24269i	−0.100538	+	0.0890686i
$635$	33.1835	−	22.9049i	1.31685	−	0.908955i
$636$	0.133132	+	0.351041i	0.00527904	+	0.0139197i
$637$	−4.65261	+	19.7759i	−0.184343	+	0.783551i
$638$	−1.25397	+	3.30645i	−0.0496452	+	0.130904i
$639$	−2.01562	−	8.17770i	−0.0797368	−	0.323505i
$640$	40.1268	−	21.0602i	1.58615	−	0.832477i
$641$	3.18612	+	8.40112i	0.125844	+	0.331824i	0.983101	−	0.183066i	$-0.0586021\pi$
$641$	3.18612	+	8.40112i	0.125844	+	0.331824i	−0.857256	+	0.514890i	$0.827833\pi$
$642$	10.3103	−	1.25190i	0.406916	−	0.0494086i
$643$	−25.1805	−	17.3808i	−0.993021	−	0.685433i	−0.0434733	−	0.999055i	$-0.513842\pi$
$643$	−25.1805	−	17.3808i	−0.993021	−	0.685433i	−0.949548	+	0.313621i	$0.898458\pi$
$644$	−0.335099	+	1.35955i	−0.0132047	+	0.0535738i
$645$	1.30206	+	5.28266i	0.0512685	+	0.208005i
$646$	0.157653	+	1.29839i	0.00620276	+	0.0510844i
$647$	10.4345	−	27.5135i	0.410222	−	1.08167i	−0.557617	−	0.830098i	$-0.688284\pi$
$647$	10.4345	−	27.5135i	0.410222	−	1.08167i	0.967839	−	0.251569i	$-0.0809465\pi$
$648$	−0.658002	+	2.66962i	−0.0258488	+	0.104873i
$649$	−29.2051	+	7.19841i	−1.14640	+	0.282562i
$650$	45.7198	+	10.7563i	1.79328	+	0.421898i
$651$	2.17859	+	0.536974i	0.0853857	+	0.0210457i
$652$	0.566726	−	1.07981i	0.0221947	−	0.0422885i
$653$	−26.7871			−1.04826			−0.524130	−	0.851638i	$-0.675609\pi$
$653$	−26.7871			−1.04826			−0.524130	+	0.851638i	$0.675609\pi$
$654$	9.12025			0.356630
$655$	34.1060	−	64.9835i	1.33263	−	2.53912i
$656$	−17.1425	−	19.3499i	−0.669304	−	0.755488i
$657$		−	11.0798i		−	0.432264i
$658$	−42.1022	+	47.5236i	−1.64131	+	1.85266i
$659$	−3.52165	+	1.84831i	−0.137184	+	0.0719998i	−0.531919	−	0.846795i	$-0.678529\pi$
$659$	−3.52165	+	1.84831i	−0.137184	+	0.0719998i	0.394735	+	0.918795i	$0.370837\pi$
$660$	0.257065	+	2.11712i	0.0100063	+	0.0824089i
$661$	−4.13951	−	7.88719i	−0.161008	−	0.306776i	0.791565	−	0.611085i	$-0.209267\pi$
$661$	−4.13951	−	7.88719i	−0.161008	−	0.306776i	−0.952573	+	0.304309i	$0.901574\pi$
$662$	−2.52652	−	20.8078i	−0.0981960	−	0.808717i
$663$	1.09234	+	0.120903i	0.0424229	+	0.00469548i
$664$	−5.78653	+	47.6563i	−0.224561	+	1.84942i
$665$	−36.7519	+	13.9381i	−1.42518	+	0.540498i
$666$	4.02459	+	2.11227i	0.155950	+	0.0818488i
$667$	−0.596914	+	1.57393i	−0.0231126	+	0.0609429i
$668$	0.975763	+	1.85916i	0.0377534	+	0.0719331i
$669$	−9.77405	−	18.6229i	−0.377887	−	0.720003i
$670$	−10.8208	−	43.9017i	−0.418044	−	1.69607i
$671$	42.6932	+	5.18389i	1.64815	+	0.200122i
$672$	−1.57621	−	1.39640i	−0.0608037	−	0.0538673i
$673$	−7.18762	−	10.4131i	−0.277062	−	0.401394i	0.659606	−	0.751612i	$-0.270723\pi$
$673$	−7.18762	−	10.4131i	−0.277062	−	0.401394i	−0.936669	+	0.350217i	$0.886108\pi$
$674$	−30.2367	−	11.4673i	−1.16467	−	0.441702i
$675$	−8.97887			−0.345597
$676$	1.36253	−	0.0288805i	0.0524050	−	0.00111079i
$677$	−9.32182			−0.358267			−0.179133	−	0.983825i	$-0.557329\pi$
$677$	−9.32182			−0.358267			−0.179133	+	0.983825i	$0.557329\pi$
$678$	−5.01548	−	1.90212i	−0.192618	−	0.0730505i
$679$	24.1806	+	35.0316i	0.927965	+	1.34439i
$680$	2.34542	+	2.07786i	0.0899426	+	0.0796822i
$681$	−3.39150	−	0.411803i	−0.129963	−	0.0157803i
$682$	−1.19253	−	4.83828i	−0.0456643	−	0.185267i
$683$	−6.47112	−	12.3297i	−0.247610	−	0.471782i	0.729651	−	0.683820i	$-0.239682\pi$
$683$	−6.47112	−	12.3297i	−0.247610	−	0.471782i	−0.977262	+	0.212037i	$0.931990\pi$
$684$	−0.144092	−	0.274544i	−0.00550948	−	0.0104974i
$685$	16.6965	−	44.0251i	0.637941	−	1.68211i
$686$	−6.23469	−	3.27222i	−0.238042	−	0.124934i
$687$	−4.18241	+	1.58618i	−0.159569	+	0.0605166i
$688$	−0.736470	+	6.06538i	−0.0280777	+	0.231240i
$689$	8.45966	−	9.75532i	0.322287	−	0.371648i
$690$	2.45688	+	20.2343i	0.0935320	+	0.770305i
$691$	−13.2352	−	25.2176i	−0.503492	−	0.959325i	−0.996029	−	0.0890327i	$-0.971622\pi$
$691$	−13.2352	−	25.2176i	−0.503492	−	0.959325i	0.492536	−	0.870292i	$-0.336070\pi$
$692$	−0.0470473	−	0.387469i	−0.00178847	−	0.0147294i
$693$	−17.1252	+	8.98799i	−0.650532	+	0.341426i
$694$	−2.69677	+	3.04403i	−0.102368	+	0.115550i
$695$		−	21.9538i		−	0.832756i
$696$	−0.816764	−	0.921936i	−0.0309594	−	0.0349459i
$697$	0.872153	−	1.66175i	0.0330352	−	0.0629433i
$698$	−4.01995			−0.152157
$699$	22.5892			0.854400
$700$	1.55488	−	2.96258i	0.0587690	−	0.111975i
$701$	9.95543	+	2.45379i	0.376012	+	0.0926785i	0.422792	−	0.906227i	$-0.361050\pi$
$701$	9.95543	+	2.45379i	0.376012	+	0.0926785i	−0.0467807	+	0.998905i	$0.514896\pi$
$702$	−5.06540	+	1.30560i	−0.191181	+	0.0492766i
$703$	8.99669	−	2.21748i	0.339317	−	0.0836340i
$704$	9.81537	−	39.8225i	0.369931	−	1.50087i
$705$	−16.3231	+	43.0404i	−0.614763	+	1.62100i
$706$	−3.24027	−	26.6860i	−0.121949	−	1.00434i
$707$	−12.7897	−	51.8899i	−0.481006	−	1.95152i
$708$	−0.138691	+	0.562693i	−0.00521234	+	0.0211473i
$709$	27.1976	+	18.7732i	1.02143	+	0.705041i	0.956165	−	0.292827i	$-0.0945961\pi$
$709$	27.1976	+	18.7732i	1.02143	+	0.705041i	0.0652627	+	0.997868i	$0.479211\pi$
$710$	45.3529	−	5.50683i	1.70206	−	0.206668i
$711$	5.90178	+	15.5617i	0.221334	+	0.583610i
$712$	−24.2212	+	12.7123i	−0.907728	+	0.476412i
$713$	−0.567666	−	2.30311i	−0.0212593	−	0.0862522i
$714$	0.557397	−	1.46973i	0.0208600	−	0.0550034i
$715$	59.9203	−	42.3044i	2.24089	−	1.58209i
$716$	0.706694	+	1.86340i	0.0264104	+	0.0696385i
$717$	−9.62840	+	6.64601i	−0.359579	+	0.248200i
$718$	−8.62034	+	7.63695i	−0.321708	+	0.285009i
$719$	34.3154	+	8.45800i	1.27975	+	0.315430i	0.819869	−	0.572551i	$-0.194046\pi$
$719$	34.3154	+	8.45800i	1.27975	+	0.315430i	0.459881	+	0.887981i	$0.347892\pi$
$720$	−14.6780	−	5.56664i	−0.547018	−	0.207456i
$721$	−16.2258	+	30.9158i	−0.604282	+	1.15136i
$722$	13.9077	+	5.27449i	0.517591	+	0.196296i
$723$	−9.43182	−	10.6463i	−0.350773	−	0.395941i
$724$	0.163409	−	0.144767i	0.00607303	−	0.00538024i
$725$	2.28489	−	3.31024i	0.0848589	−	0.122939i
$726$	22.2150	+	15.3339i	0.824476	+	0.569094i
$727$	11.2064	+	5.88156i	0.415622	+	0.218135i	0.659554	−	0.751657i	$-0.270745\pi$
$727$	11.2064	+	5.88156i	0.415622	+	0.218135i	−0.243932	+	0.969792i	$0.578437\pi$
$728$	−8.06994	+	34.3013i	−0.299092	+	1.27129i
$729$	0.885456	−	0.464723i	0.0327947	−	0.0172120i
$730$	59.6622	+	7.24430i	2.20820	+	0.268124i
$731$	−0.430672	+	0.106151i	−0.0159290	+	0.00392614i
$732$	0.470704	−	0.681932i	0.0173977	−	0.0252049i
$733$	12.1806	−	8.40768i	0.449902	−	0.310545i	−0.321481	−	0.946916i	$-0.604181\pi$
$733$	12.1806	−	8.40768i	0.449902	−	0.310545i	0.771383	+	0.636371i	$0.219565\pi$
$734$	9.77092	−	11.0291i	0.360651	−	0.407091i
$735$	20.9132	+	2.53933i	0.771397	+	0.0936645i
$736$	−0.532755	+	2.16147i	−0.0196376	+	0.0796728i
$737$	−40.1604	−	21.0778i	−1.47933	−	0.776411i
$738$	−1.07671	+	8.86747i	−0.0396341	+	0.326416i
$739$	4.35335	−	0.528592i	0.160140	−	0.0194446i	−0.0400738	−	0.999197i	$-0.512759\pi$
$739$	4.35335	−	0.528592i	0.160140	−	0.0194446i	0.200214	+	0.979752i	$0.435836\pi$
$740$	−0.697558	+	1.01059i	−0.0256428	+	0.0371499i
$741$	−5.96444	+	8.83990i	−0.219109	+	0.324742i
$742$	−10.4912	−	15.1991i	−0.385144	−	0.557978i
$743$	−31.3293	−	35.3635i	−1.14936	−	1.29736i	−0.948154	−	0.317812i	$-0.897052\pi$
$743$	−31.3293	−	35.3635i	−1.14936	−	1.29736i	−0.201208	−	0.979549i	$-0.564487\pi$
$744$	1.68520	+	0.415364i	0.0617823	+	0.0152280i
$745$	−21.4786	−	31.1171i	−0.786915	−	1.14004i
$746$			19.7540i			0.723244i
$747$	14.3692	−	9.91837i	0.525743	−	0.362894i
$748$	−0.172600	+	0.0209574i	−0.00631087	+	0.000766278i
$749$	−23.7926	+	9.02333i	−0.869362	+	0.329705i
$750$	2.60150	−	21.4253i	0.0949933	−	0.782341i
$751$	−1.72052	−	4.53665i	−0.0627828	−	0.165545i	0.899954	−	0.435985i	$-0.143600\pi$
$751$	−1.72052	−	4.53665i	−0.0627828	−	0.165545i	−0.962737	+	0.270440i	$0.912831\pi$
$752$	−34.2790	+	38.6929i	−1.25002	+	1.41099i
$753$	3.54011	+	3.13626i	0.129009	+	0.114292i
$754$	0.807681	−	2.19970i	0.0294140	−	0.0801084i
$755$	−64.9946	+	57.5802i	−2.36540	+	2.09556i
$756$			0.372633i			0.0135525i
$757$	13.7448	+	12.1768i	0.499564	+	0.442575i	0.874893	−	0.484317i	$-0.160932\pi$
$757$	13.7448	+	12.1768i	0.499564	+	0.442575i	−0.375329	+	0.926892i	$0.622470\pi$
$758$	4.37387	−	1.07806i	0.158866	−	0.0391570i
$759$	16.8267	+	11.6146i	0.610771	+	0.421585i
$760$	−28.4286	+	10.7815i	−1.03121	+	0.391087i
$761$	−49.5463	+	18.7904i	−1.79605	+	0.681153i	−0.799272	+	0.600970i	$0.794781\pi$
$761$	−49.5463	+	18.7904i	−1.79605	+	0.681153i	−0.996780	+	0.0801827i	$0.974450\pi$
$762$	−12.8764	−	8.88796i	−0.466464	−	0.321977i
$763$	−21.6956	+	5.34749i	−0.785434	+	0.193592i
$764$	−1.70377	−	1.50941i	−0.0616402	−	0.0546084i
$765$		−	1.13964i		−	0.0412036i
$766$	13.2419	−	11.7313i	0.478450	−	0.423870i
$767$	19.3011	−	4.97482i	0.696923	−	0.179630i
$768$	−1.87817	−	1.66392i	−0.0677728	−	0.0600414i
$769$	5.68976	−	6.42242i	0.205178	−	0.231598i	−0.636910	−	0.770938i</

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 507 = 3 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	507.p (of order \(26\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(1.35653 + 0.514462i) q^{2} +(0.568065 + 0.822984i) q^{3} +(0.0784691 + 0.0695176i) q^{4} +(-3.71157 - 0.450666i) q^{5} +(0.347200 + 1.40865i) q^{6} +(-1.65187 - 3.14737i) q^{7} +(-1.27776 - 2.43458i) q^{8} +(-0.354605 + 0.935016i) q^{9} +(-4.80299 - 2.52080i) q^{10} +(-5.08753 + 1.92944i) q^{11} +(-0.0126363 + 0.104069i) q^{12} +(3.35751 - 1.31420i) q^{13} +(-0.621597 - 5.11931i) q^{14} +(-1.73752 - 3.31057i) q^{15} +(-0.506095 - 4.16806i) q^{16} +(0.269896 - 0.141652i) q^{17} +(-0.962061 + 1.08594i) q^{18} +2.95763i q^{19} +(-0.259914 - 0.293383i) q^{20} +(1.65187 - 3.14737i) q^{21} -7.89399 q^{22} -3.75769 q^{23} +(1.27776 - 2.43458i) q^{24} +(8.71796 + 2.14878i) q^{25} +(5.23066 - 0.0554289i) q^{26} +(-0.970942 + 0.239316i) q^{27} +(0.0891769 - 0.361805i) q^{28} +(0.158852 - 0.418857i) q^{29} +(-0.653829 - 5.38477i) q^{30} +(0.151068 + 0.612907i) q^{31} +(0.141777 - 0.575213i) q^{32} +(-4.47795 - 3.09090i) q^{33} +(0.438996 - 0.0533038i) q^{34} +(4.71261 + 12.4261i) q^{35} +(-0.0928256 + 0.0487186i) q^{36} +(-0.749751 - 3.04186i) q^{37} +(-1.52159 + 4.01210i) q^{38} +(2.98885 + 2.01663i) q^{39} +(3.64533 + 9.61195i) q^{40} +(5.06711 - 3.49757i) q^{41} +(3.86000 - 3.41967i) q^{42} +(-1.41292 - 0.348253i) q^{43} +(-0.533344 - 0.202271i) q^{44} +(1.73752 - 3.31057i) q^{45} +(-5.09740 - 1.93319i) q^{46} +(-8.16423 - 9.21551i) q^{47} +(3.14275 - 2.78424i) q^{48} +(-3.20082 + 4.63719i) q^{49} +(10.7207 + 7.39994i) q^{50} +(0.269896 + 0.141652i) q^{51} +(0.354821 + 0.130282i) q^{52} +(3.17106 - 1.66430i) q^{53} +(-1.44023 - 0.174875i) q^{54} +(19.7523 - 4.86850i) q^{55} +(-5.55181 + 8.04319i) q^{56} +(-2.43408 + 1.68012i) q^{57} +(0.430972 - 0.486467i) q^{58} +(5.48782 + 0.666342i) q^{59} +(0.0938011 - 0.380566i) q^{60} +(-6.99868 - 3.67319i) q^{61} +(-0.110390 + 0.909143i) q^{62} +(3.52860 - 0.428450i) q^{63} +(-4.28199 + 6.20353i) q^{64} +(-13.0539 + 3.36462i) q^{65} +(-4.48430 - 6.49663i) q^{66} +(5.52761 + 6.23938i) q^{67} +(0.0310258 + 0.00764718i) q^{68} +(-2.13461 - 3.09252i) q^{69} +19.2808i q^{70} +(-6.93153 + 4.78449i) q^{71} +(2.72947 - 0.331418i) q^{72} +(-10.3598 + 3.92895i) q^{73} +(0.547866 - 4.51208i) q^{74} +(3.18395 + 8.39539i) q^{75} +(-0.205607 + 0.232082i) q^{76} +(14.4766 + 12.8251i) q^{77} +(3.01697 + 4.27326i) q^{78} +(12.4577 - 11.0365i) q^{79} +15.6982i q^{80} +(-0.748511 - 0.663123i) q^{81} +(8.67303 - 2.13771i) q^{82} +(-14.3692 - 9.91837i) q^{83} +(0.348418 - 0.132138i) q^{84} +(-1.06558 + 0.404120i) q^{85} +(-1.73750 - 1.19931i) q^{86} +(0.434951 - 0.107206i) q^{87} +(11.1980 + 9.92060i) q^{88} -9.94884i q^{89} +(4.06016 - 3.59699i) q^{90} +(-9.68243 - 8.39645i) q^{91} +(-0.294862 - 0.261225i) q^{92} +(-0.418596 + 0.472497i) q^{93} +(-6.33395 - 16.7013i) q^{94} +(1.33290 - 10.9775i) q^{95} +(0.553930 - 0.210078i) q^{96} +(-11.8880 + 1.44347i) q^{97} +(-6.72765 + 4.64376i) q^{98} -5.44111i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 14 q^{3} + 12 q^{4} - 14 q^{9} - 4 q^{10} + 12 q^{12} + 13 q^{13} + 2 q^{14} - 8 q^{16} - 4 q^{17} - 72 q^{22} + 48 q^{23} - 44 q^{25} - 39 q^{26} - 14 q^{27} + 45 q^{29} - 4 q^{30} - 26 q^{31}+ \cdots - 104 q^{98}+O(q^{100}) \) 168 * q - 14 * q^3 + 12 * q^4 - 14 * q^9 - 4 * q^10 + 12 * q^12 + 13 * q^13 + 2 * q^14 - 8 * q^16 - 4 * q^17 - 72 * q^22 + 48 * q^23 - 44 * q^25 - 39 * q^26 - 14 * q^27 + 45 * q^29 - 4 * q^30 - 26 * q^31 + 130 * q^32 + 13 * q^33 - 65 * q^34 - 35 * q^35 + 12 * q^36 + 61 * q^38 + 12 * q^40 - 63 * q^42 + 72 * q^43 - 39 * q^44 - 8 * q^48 - 68 * q^49 - 52 * q^50 - 4 * q^51 + 65 * q^52 - q^53 + 53 * q^55 - 14 * q^56 - 13 * q^57 - 26 * q^58 - 104 * q^59 + 117 * q^60 + 12 * q^61 + 49 * q^62 - 32 * q^64 - 52 * q^65 - 46 * q^66 + 26 * q^67 - 84 * q^68 - 4 * q^69 - 39 * q^71 - 52 * q^73 + 29 * q^74 + 8 * q^75 - 130 * q^76 + 60 * q^77 + 65 * q^78 + 14 * q^79 - 14 * q^81 + 45 * q^82 + 78 * q^83 - 13 * q^85 - 13 * q^86 - 46 * q^87 - 26 * q^88 - 4 * q^90 - 208 * q^91 + 82 * q^92 - 39 * q^93 + 25 * q^94 - 66 * q^95 + 65 * q^96 + 26 * q^97 - 104 * q^98

Introduction

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