LMFDB - Embedded newform 290.2.o.a.247.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [290,2,Mod(3,290)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(290, base_ring=CyclotomicField(28)) chi = DirichletCharacter(H, H._module([21, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("290.3"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 290 = 2 \cdot 5 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	290.o (of order $28$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [84] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.31566165862$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$7$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			247.4
Character	$\chi$	$=$	290.247
Dual form			290.2.o.a.263.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.781831 - 0.623490i) q^{2} +(-0.0317244 + 0.138994i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.84200 - 1.26769i) q^{5} +(0.111464 - 0.0888898i) q^{6} +(-3.55763 + 2.23540i) q^{7} +(0.433884 - 0.900969i) q^{8} +(2.68459 + 1.29283i) q^{9} +(0.649747 + 2.13959i) q^{10} +(5.13801 + 1.79787i) q^{11} -0.142568 q^{12} +(2.71945 + 0.951578i) q^{13} +(4.17522 + 0.470434i) q^{14} +(0.234637 - 0.215810i) q^{15} +(-0.900969 + 0.433884i) q^{16} +7.46664i q^{17} +(-1.29283 - 2.68459i) q^{18} +(-3.98737 - 2.50543i) q^{19} +(0.826018 - 2.07791i) q^{20} +(-0.197844 - 0.565404i) q^{21} +(-2.89611 - 4.60913i) q^{22} +(0.593973 + 0.0669247i) q^{23} +(0.111464 + 0.0888898i) q^{24} +(1.78595 + 4.67016i) q^{25} +(-1.53286 - 2.43953i) q^{26} +(-0.531532 + 0.666520i) q^{27} +(-2.97100 - 2.97100i) q^{28} +(5.01144 + 1.97117i) q^{29} +(-0.318002 + 0.0224336i) q^{30} +(-5.78749 + 0.652093i) q^{31} +(0.974928 + 0.222521i) q^{32} +(-0.412893 + 0.657115i) q^{33} +(4.65537 - 5.83766i) q^{34} +(9.38695 + 0.392329i) q^{35} +(-0.663040 + 2.90497i) q^{36} +(1.48846 + 0.716807i) q^{37} +(1.55534 + 4.44491i) q^{38} +(-0.218536 + 0.347799i) q^{39} +(-1.94136 + 1.10956i) q^{40} +(-1.33759 + 1.33759i) q^{41} +(-0.197844 + 0.565404i) q^{42} +(-0.467631 - 0.586391i) q^{43} +(-0.609477 + 5.40926i) q^{44} +(-3.30612 - 5.78462i) q^{45} +(-0.422660 - 0.422660i) q^{46} +(-0.753970 + 0.363093i) q^{47} +(-0.0317244 - 0.138994i) q^{48} +(4.62248 - 9.59868i) q^{49} +(1.51549 - 4.76480i) q^{50} +(-1.03782 - 0.236875i) q^{51} +(-0.322585 + 2.86302i) q^{52} +(-1.04345 - 9.26088i) q^{53} +(0.831137 - 0.189702i) q^{54} +(-7.18510 - 9.82507i) q^{55} +(0.470434 + 4.17522i) q^{56} +(0.474736 - 0.474736i) q^{57} +(-2.68909 - 4.66570i) q^{58} +12.7889i q^{59} +(0.262611 + 0.180732i) q^{60} +(1.50928 - 0.948343i) q^{61} +(4.93141 + 3.09861i) q^{62} +(-12.4408 + 1.40174i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(-3.80294 - 5.20022i) q^{65} +(0.732517 - 0.256319i) q^{66} +(-2.41862 + 0.846311i) q^{67} +(-7.27944 + 1.66148i) q^{68} +(-0.0281456 + 0.0804354i) q^{69} +(-7.09440 - 6.15940i) q^{70} +(-2.71884 - 5.64573i) q^{71} +(2.32960 - 1.85780i) q^{72} +(-4.22252 + 3.36735i) q^{73} +(-0.716807 - 1.48846i) q^{74} +(-0.705781 + 0.100077i) q^{75} +(1.55534 - 4.44491i) q^{76} +(-22.2981 + 5.08940i) q^{77} +(0.387708 - 0.135665i) q^{78} +(6.19880 - 2.16906i) q^{79} +(2.20962 + 0.342930i) q^{80} +(5.49761 + 6.89378i) q^{81} +(1.87974 - 0.211796i) q^{82} +(1.39937 + 0.879280i) q^{83} +(0.507204 - 0.318698i) q^{84} +(9.46535 - 13.7536i) q^{85} +0.750022i q^{86} +(-0.432965 + 0.634024i) q^{87} +(3.84913 - 3.84913i) q^{88} +(0.141323 + 1.25428i) q^{89} +(-1.02182 + 6.58393i) q^{90} +(-11.8020 + 2.69372i) q^{91} +(0.0669247 + 0.593973i) q^{92} +(0.0929678 - 0.825112i) q^{93} +(0.815863 + 0.186215i) q^{94} +(4.16865 + 9.66974i) q^{95} +(-0.0618580 + 0.128449i) q^{96} +(-2.25481 - 9.87897i) q^{97} +(-9.59868 + 4.62248i) q^{98} +(11.4691 + 11.4691i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 4 q^{3} + 14 q^{4} + 14 q^{5} + 12 q^{7} - 14 q^{9} - 4 q^{10} + 10 q^{11} - 4 q^{12} + 24 q^{13} - 16 q^{14} + 6 q^{15} - 14 q^{16} + 14 q^{19} - 16 q^{21} - 4 q^{22} - 40 q^{23} + 6 q^{25} - 18 q^{26}+ \cdots + 92 q^{99}+O(q^{100}) $ 84 * q + 4 * q^3 + 14 * q^4 + 14 * q^5 + 12 * q^7 - 14 * q^9 - 4 * q^10 + 10 * q^11 - 4 * q^12 + 24 * q^13 - 16 * q^14 + 6 * q^15 - 14 * q^16 + 14 * q^19 - 16 * q^21 - 4 * q^22 - 40 * q^23 + 6 * q^25 - 18 * q^26 - 56 * q^27 + 2 * q^28 + 6 * q^29 + 34 * q^30 - 20 * q^31 + 14 * q^33 + 20 * q^34 - 14 * q^35 + 26 * q^37 + 14 * q^38 + 6 * q^39 + 4 * q^40 + 18 * q^41 - 16 * q^42 - 20 * q^43 - 24 * q^44 - 84 * q^45 - 2 * q^46 - 40 * q^47 + 4 * q^48 + 98 * q^49 + 12 * q^50 + 4 * q^52 + 4 * q^53 - 16 * q^55 - 12 * q^56 + 28 * q^57 - 16 * q^58 - 20 * q^60 - 2 * q^61 + 8 * q^62 - 86 * q^63 + 14 * q^64 - 28 * q^66 - 30 * q^67 - 102 * q^69 - 28 * q^70 + 28 * q^72 - 14 * q^73 + 98 * q^74 - 60 * q^75 + 14 * q^76 - 42 * q^77 - 92 * q^78 - 22 * q^79 - 6 * q^81 - 18 * q^82 - 50 * q^83 - 12 * q^84 - 26 * q^85 + 110 * q^87 + 4 * q^88 - 46 * q^89 - 90 * q^90 - 42 * q^91 - 30 * q^92 + 26 * q^93 - 112 * q^94 - 66 * q^95 + 12 * q^97 + 50 * q^98 + 92 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/290\mathbb{Z}\right)^\times$.

$n$	$31$	$117$
$\chi(n)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.781831	−	0.623490i	−0.552838	−	0.440874i
$2$	−0.781831	−	0.623490i	−0.552838	−	0.440874i
$3$	−0.0317244	+	0.138994i	−0.0183161	+	0.0802481i	−0.983260	−	0.182208i	$-0.941675\pi$
$3$	−0.0317244	+	0.138994i	−0.0183161	+	0.0802481i	0.964944	+	0.262456i	$0.0845326\pi$
$4$	0.222521	+	0.974928i	0.111260	+	0.487464i
$5$	−1.84200	−	1.26769i	−0.823769	−	0.566926i
$5$	−1.84200	−	1.26769i	−0.823769	−	0.566926i
$6$	0.111464	−	0.0888898i	0.0455051	−	0.0362891i
$7$	−3.55763	+	2.23540i	−1.34466	+	0.844903i	−0.995736	−	0.0922489i	$-0.970594\pi$
$7$	−3.55763	+	2.23540i	−1.34466	+	0.844903i	−0.348920	+	0.937152i	$0.613452\pi$
$8$	0.433884	−	0.900969i	0.153401	−	0.318541i
$9$	2.68459	+	1.29283i	0.894865	+	0.430944i
$10$	0.649747	+	2.13959i	0.205468	+	0.676597i
$11$	5.13801	+	1.79787i	1.54917	+	0.542078i	0.963323	−	0.268344i	$-0.0864764\pi$
$11$	5.13801	+	1.79787i	1.54917	+	0.542078i	0.585847	+	0.810422i	$0.300762\pi$
$12$	−0.142568			−0.0411559
$13$	2.71945	+	0.951578i	0.754241	+	0.263920i	0.679892	−	0.733312i	$-0.262027\pi$
$13$	2.71945	+	0.951578i	0.754241	+	0.263920i	0.0743487	+	0.997232i	$0.476312\pi$
$14$	4.17522	+	0.470434i	1.11587	+	0.125729i
$15$	0.234637	−	0.215810i	0.0605829	−	0.0557220i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$			7.46664i			1.81093i	0.424425	+	0.905463i	$0.360476\pi$
$17$			7.46664i			1.81093i	−0.424425	+	0.905463i	$0.639524\pi$
$18$	−1.29283	−	2.68459i	−0.304723	−	0.632765i
$19$	−3.98737	−	2.50543i	−0.914765	−	0.574785i	−0.00965083	−	0.999953i	$-0.503072\pi$
$19$	−3.98737	−	2.50543i	−0.914765	−	0.574785i	−0.905114	+	0.425168i	$0.860215\pi$
$20$	0.826018	−	2.07791i	0.184703	−	0.464634i
$21$	−0.197844	−	0.565404i	−0.0431730	−	0.123381i
$22$	−2.89611	−	4.60913i	−0.617452	−	0.982670i
$23$	0.593973	+	0.0669247i	0.123852	+	0.0139548i	0.173673	−	0.984803i	$-0.444436\pi$
$23$	0.593973	+	0.0669247i	0.123852	+	0.0139548i	−0.0498209	+	0.998758i	$0.515865\pi$
$24$	0.111464	+	0.0888898i	0.0227526	+	0.0181446i
$25$	1.78595	+	4.67016i	0.357190	+	0.934032i
$26$	−1.53286	−	2.43953i	−0.300618	−	0.478430i
$27$	−0.531532	+	0.666520i	−0.102293	+	0.128272i
$28$	−2.97100	−	2.97100i	−0.561467	−	0.561467i
$29$	5.01144	+	1.97117i	0.930600	+	0.366037i
$29$	5.01144	+	1.97117i	0.930600	+	0.366037i
$30$	−0.318002	+	0.0224336i	−0.0580589	+	0.00409580i
$31$	−5.78749	+	0.652093i	−1.03946	+	0.117119i	−0.615161	−	0.788401i	$-0.710909\pi$
$31$	−5.78749	+	0.652093i	−1.03946	+	0.117119i	−0.424302	+	0.905521i	$0.639481\pi$
$32$	0.974928	+	0.222521i	0.172345	+	0.0393365i
$33$	−0.412893	+	0.657115i	−0.0718754	+	0.114389i
$34$	4.65537	−	5.83766i	0.798390	−	1.00115i
$35$	9.38695	+	0.392329i	1.58668	+	0.0663157i
$36$	−0.663040	+	2.90497i	−0.110507	+	0.484161i
$37$	1.48846	+	0.716807i	0.244702	+	0.117842i	0.552215	−	0.833701i	$-0.313783\pi$
$37$	1.48846	+	0.716807i	0.244702	+	0.117842i	−0.307513	+	0.951544i	$0.599497\pi$
$38$	1.55534	+	4.44491i	0.252310	+	0.721059i
$39$	−0.218536	+	0.347799i	−0.0349938	+	0.0556924i
$40$	−1.94136	+	1.10956i	−0.306956	+	0.175437i
$41$	−1.33759	+	1.33759i	−0.208897	+	0.208897i	−0.803798	−	0.594902i	$-0.797191\pi$
$41$	−1.33759	+	1.33759i	−0.208897	+	0.208897i	0.594902	+	0.803798i	$0.297191\pi$
$42$	−0.197844	+	0.565404i	−0.0305279	+	0.0872438i
$43$	−0.467631	−	0.586391i	−0.0713131	−	0.0894238i	0.744895	−	0.667181i	$-0.232499\pi$
$43$	−0.467631	−	0.586391i	−0.0713131	−	0.0894238i	−0.816208	+	0.577757i	$0.803928\pi$
$44$	−0.609477	+	5.40926i	−0.0918821	+	0.815476i
$45$	−3.30612	−	5.78462i	−0.492848	−	0.862320i
$46$	−0.422660	−	0.422660i	−0.0623178	−	0.0623178i
$47$	−0.753970	+	0.363093i	−0.109978	+	0.0529626i	−0.488064	−	0.872808i	$-0.662297\pi$
$47$	−0.753970	+	0.363093i	−0.109978	+	0.0529626i	0.378086	+	0.925771i	$0.376582\pi$
$48$	−0.0317244	−	0.138994i	−0.00457902	−	0.0200620i
$49$	4.62248	−	9.59868i	0.660355	−	1.37124i
$50$	1.51549	−	4.76480i	0.214322	−	0.673844i
$51$	−1.03782	−	0.236875i	−0.145323	−	0.0331691i
$52$	−0.322585	+	2.86302i	−0.0447344	+	0.397029i
$53$	−1.04345	−	9.26088i	−0.143329	−	1.27208i	−0.835155	−	0.550015i	$-0.814622\pi$
$53$	−1.04345	−	9.26088i	−0.143329	−	1.27208i	0.691826	−	0.722064i	$-0.256807\pi$
$54$	0.831137	−	0.189702i	0.113103	−	0.0258151i
$55$	−7.18510	−	9.82507i	−0.968839	−	1.32481i
$56$	0.470434	+	4.17522i	0.0628644	+	0.557937i
$57$	0.474736	−	0.474736i	0.0628803	−	0.0628803i
$58$	−2.68909	−	4.66570i	−0.353095	−	0.612637i
$59$			12.7889i			1.66497i	0.554050	+	0.832483i	$0.313082\pi$
$59$			12.7889i			1.66497i	−0.554050	+	0.832483i	$0.686918\pi$
$60$	0.262611	+	0.180732i	0.0339029	+	0.0233323i
$61$	1.50928	−	0.948343i	0.193243	−	0.121423i	−0.431935	−	0.901905i	$-0.642169\pi$
$61$	1.50928	−	0.948343i	0.193243	−	0.121423i	0.625178	+	0.780482i	$0.285026\pi$
$62$	4.93141	+	3.09861i	0.626290	+	0.393524i
$63$	−12.4408	+	1.40174i	−1.56739	+	0.176603i
$64$	−0.623490	−	0.781831i	−0.0779362	−	0.0977289i
$65$	−3.80294	−	5.20022i	−0.471697	−	0.645008i
$66$	0.732517	−	0.256319i	0.0901667	−	0.0315507i
$67$	−2.41862	+	0.846311i	−0.295481	+	0.103393i	−0.473949	−	0.880553i	$-0.657172\pi$
$67$	−2.41862	+	0.846311i	−0.295481	+	0.103393i	0.178468	+	0.983946i	$0.442886\pi$
$68$	−7.27944	+	1.66148i	−0.882761	+	0.201485i
$69$	−0.0281456	+	0.0804354i	−0.00338833	+	0.00968328i
$70$	−7.09440	−	6.15940i	−0.847943	−	0.736189i
$71$	−2.71884	−	5.64573i	−0.322667	−	0.670025i	0.675035	−	0.737786i	$-0.264129\pi$
$71$	−2.71884	−	5.64573i	−0.322667	−	0.670025i	−0.997702	+	0.0677613i	$0.978414\pi$
$72$	2.32960	−	1.85780i	0.274546	−	0.218943i
$73$	−4.22252	+	3.36735i	−0.494209	+	0.394118i	−0.838634	−	0.544696i	$-0.816645\pi$
$73$	−4.22252	+	3.36735i	−0.494209	+	0.394118i	0.344425	+	0.938814i	$0.388074\pi$
$74$	−0.716807	−	1.48846i	−0.0833271	−	0.173031i
$75$	−0.705781	+	0.100077i	−0.0814966	+	0.0115559i
$76$	1.55534	−	4.44491i	0.178410	−	0.509866i
$77$	−22.2981	+	5.08940i	−2.54110	+	0.579990i
$78$	0.387708	−	0.135665i	0.0438993	−	0.0153610i
$79$	6.19880	−	2.16906i	0.697420	−	0.244038i	0.0417969	−	0.999126i	$-0.486692\pi$
$79$	6.19880	−	2.16906i	0.697420	−	0.244038i	0.655623	+	0.755088i	$0.272406\pi$
$80$	2.20962	+	0.342930i	0.247042	+	0.0383407i
$81$	5.49761	+	6.89378i	0.610846	+	0.765976i
$82$	1.87974	−	0.211796i	0.207583	−	0.0233890i
$83$	1.39937	+	0.879280i	0.153600	+	0.0965135i	0.606639	−	0.794977i	$-0.292517\pi$
$83$	1.39937	+	0.879280i	0.153600	+	0.0965135i	−0.453039	+	0.891491i	$0.649660\pi$
$84$	0.507204	−	0.318698i	0.0553405	−	0.0347728i
$85$	9.46535	−	13.7536i	1.02666	−	1.49178i
$86$			0.750022i			0.0808770i
$87$	−0.432965	+	0.634024i	−0.0464187	+	0.0679745i
$88$	3.84913	−	3.84913i	0.410318	−	0.410318i
$89$	0.141323	+	1.25428i	0.0149802	+	0.132953i	0.998976	−	0.0452371i	$-0.0144043\pi$
$89$	0.141323	+	1.25428i	0.0149802	+	0.132953i	−0.983996	+	0.178190i	$0.942976\pi$
$90$	−1.02182	+	6.58393i	−0.107709	+	0.694008i
$91$	−11.8020	+	2.69372i	−1.23718	+	0.282379i
$92$	0.0669247	+	0.593973i	0.00697738	+	0.0619260i
$93$	0.0929678	−	0.825112i	0.00964031	−	0.0855601i
$94$	0.815863	+	0.186215i	0.0841498	+	0.0192066i
$95$	4.16865	+	9.66974i	0.427694	+	0.992094i
$96$	−0.0618580	+	0.128449i	−0.00631336	+	0.0131098i
$97$	−2.25481	−	9.87897i	−0.228941	−	1.00306i	−0.950505	−	0.310709i	$-0.899433\pi$
$97$	−2.25481	−	9.87897i	−0.228941	−	1.00306i	0.721564	−	0.692348i	$-0.243424\pi$
$98$	−9.59868	+	4.62248i	−0.969614	+	0.466941i
$99$	11.4691	+	11.4691i	1.15269	+	1.15269i
$100$	−4.15566	+	2.78038i	−0.415566	+	0.278038i
$101$	1.29022	−	11.4510i	0.128382	−	1.13942i	−0.749992	−	0.661446i	$-0.769943\pi$
$101$	1.29022	−	11.4510i	0.128382	−	1.13942i	0.878374	−	0.477973i	$-0.158629\pi$
$102$	0.663708	+	0.832264i	0.0657169	+	0.0824064i
$103$	2.16280	−	6.18094i	0.213107	−	0.609026i	−0.786860	−	0.617132i	$-0.788294\pi$
$103$	2.16280	−	6.18094i	0.213107	−	0.609026i	0.999967	+	0.00810577i	$0.00258018\pi$
$104$	2.03727	−	2.03727i	0.199771	−	0.199771i
$105$	−0.352327	+	1.29228i	−0.0343836	+	0.126114i
$106$	−4.95826	+	7.89103i	−0.481589	+	0.766444i
$107$	−0.141563	−	0.404563i	−0.0136854	−	0.0391106i	0.936838	−	0.349763i	$-0.113738\pi$
$107$	−0.141563	−	0.404563i	−0.0136854	−	0.0391106i	−0.950523	+	0.310653i	$0.899452\pi$
$108$	−0.768086	−	0.369891i	−0.0739091	−	0.0355928i
$109$	−1.32935	+	5.82427i	−0.127329	+	0.557864i	0.870510	+	0.492151i	$0.163789\pi$
$109$	−1.32935	+	5.82427i	−0.127329	+	0.557864i	−0.997839	+	0.0657128i	$0.979068\pi$
$110$	−0.508287	+	12.1614i	−0.0484633	+	1.15954i
$111$	−0.146852	+	0.184147i	−0.0139386	+	0.0174785i
$112$	2.23540	−	3.55763i	0.211226	−	0.336164i
$113$	17.2541	+	3.93813i	1.62313	+	0.370468i	0.934868	−	0.354996i	$-0.115518\pi$
$113$	17.2541	+	3.93813i	1.62313	+	0.370468i	0.688260	+	0.725464i	$0.258375\pi$
$114$	−0.667156	+	0.0751705i	−0.0624849	+	0.00704036i
$115$	−1.00926	−	0.876247i	−0.0941141	−	0.0817104i
$116$	−0.806601	+	5.32441i	−0.0748910	+	0.494360i
$117$	6.07040	+	6.07040i	0.561209	+	0.561209i
$118$	7.97372	−	9.99873i	0.734040	−	0.920457i
$119$	−16.6910	−	26.5635i	−1.53006	−	2.43507i
$120$	−0.0926332	−	0.305037i	−0.00845622	−	0.0278459i
$121$	14.5667	+	11.6166i	1.32425	+	1.05605i
$122$	−1.77128	−	0.199576i	−0.160365	−	0.0180687i
$123$	−0.143482	−	0.228351i	−0.0129374	−	0.0205897i
$124$	−1.92358	−	5.49728i	−0.172743	−	0.493670i
$125$	2.63057	−	10.8665i	0.235286	−	0.971926i
$126$	10.6006	+	6.66078i	0.944374	+	0.593389i
$127$	−2.96960	−	6.16644i	−0.263510	−	0.547183i	0.726670	−	0.686987i	$-0.241067\pi$
$127$	−2.96960	−	6.16644i	−0.263510	−	0.547183i	−0.990179	+	0.139804i	$0.955353\pi$
$128$			1.00000i			0.0883883i
$129$	0.0963400	−	0.0463949i	0.00848226	−	0.00408484i
$130$	−0.269027	+	6.43679i	−0.0235952	+	0.564544i
$131$	6.15452	+	0.693448i	0.537723	+	0.0605869i	0.376650	−	0.926356i	$-0.377076\pi$
$131$	6.15452	+	0.693448i	0.537723	+	0.0605869i	0.161073	+	0.986942i	$0.448504\pi$
$132$	−0.732517	−	0.256319i	−0.0637575	−	0.0223097i
$133$	19.7862			1.71568
$134$	2.41862	+	0.846311i	0.208937	+	0.0731101i
$135$	1.82402	−	0.553916i	0.156987	−	0.0476735i
$136$	6.72721	+	3.23965i	0.576854	+	0.277798i
$137$	8.72909	−	18.1261i	0.745776	−	1.54862i	−0.0877513	−	0.996142i	$-0.527968\pi$
$137$	8.72909	−	18.1261i	0.745776	−	1.54862i	0.833528	−	0.552478i	$-0.186318\pi$
$138$	0.0721557	−	0.0453385i	0.00614230	−	0.00385947i
$139$	−13.4784	+	10.7486i	−1.14322	+	0.911688i	−0.996988	−	0.0775621i	$-0.975286\pi$
$139$	−13.4784	+	10.7486i	−1.14322	+	0.911688i	−0.146233	+	0.989250i	$0.546715\pi$
$140$	1.70630	+	9.23890i	0.144209	+	0.780829i
$141$	−0.0265484	−	0.116316i	−0.00223578	−	0.00979558i
$142$	−1.39438	+	6.10918i	−0.117014	+	0.512671i
$143$	12.2618	+	9.77845i	1.02538	+	0.817715i
$144$	−2.97967			−0.248306
$145$	−6.73225	−	9.98383i	−0.559083	−	0.829112i
$146$	5.40081			0.446974
$147$	1.18751	+	0.947009i	0.0979443	+	0.0781079i
$148$	−0.367620	+	1.61065i	−0.0302182	+	0.132395i
$149$	1.66188	+	7.28118i	0.136147	+	0.596497i	0.996261	+	0.0863958i	$0.0275350\pi$
$149$	1.66188	+	7.28118i	0.136147	+	0.596497i	−0.860114	+	0.510101i	$0.829608\pi$
$150$	0.614199	+	0.361804i	0.0501491	+	0.0295411i
$151$	−13.0888	+	10.4380i	−1.06515	+	0.849432i	−0.989037	−	0.147667i	$-0.952824\pi$
$151$	−13.0888	+	10.4380i	−1.06515	+	0.849432i	−0.0761172	+	0.997099i	$0.524252\pi$
$152$	−3.98737	+	2.50543i	−0.323418	+	0.203217i
$153$	−9.65311	+	20.0449i	−0.780408	+	1.62053i
$154$	20.6065	+	9.92359i	1.66052	+	0.799665i
$155$	11.4872	+	6.13556i	0.922676	+	0.492820i
$156$	−0.387708	−	0.135665i	−0.0310415	−	0.0108619i
$157$	7.05684			0.563197			0.281599	−	0.959532i	$-0.409135\pi$
$157$	7.05684			0.563197			0.281599	+	0.959532i	$0.409135\pi$
$158$	−6.19880	−	2.16906i	−0.493150	−	0.172561i
$159$	1.32031	+	0.148763i	0.104707	+	0.0117977i
$160$	−1.51373	−	1.64579i	−0.119671	−	0.130111i
$161$	−2.26274	+	1.08968i	−0.178329	+	0.0858786i
$162$		−	8.81748i		−	0.692767i
$163$	−3.39591	−	7.05168i	−0.265988	−	0.552330i	0.724606	−	0.689163i	$-0.242022\pi$
$163$	−3.39591	−	7.05168i	−0.265988	−	0.552330i	−0.990594	+	0.136833i	$0.956307\pi$
$164$	−1.60170	−	1.00641i	−0.125071	−	0.0785876i
$165$	1.59357	−	0.686990i	0.124059	−	0.0534821i
$166$	−0.545846	−	1.55994i	−0.0423659	−	0.121075i
$167$	11.3100	+	17.9997i	0.875193	+	1.39286i	0.919183	+	0.393830i	$0.128850\pi$
$167$	11.3100	+	17.9997i	0.875193	+	1.39286i	−0.0439901	+	0.999032i	$0.514007\pi$
$168$	−0.595253	−	0.0670689i	−0.0459248	−	0.00517448i
$169$	−3.67388	−	2.92982i	−0.282606	−	0.225371i
$170$	−15.9755	+	4.85143i	−1.22527	+	0.372087i
$171$	−7.46536	−	11.8811i	−0.570891	−	0.908567i
$172$	0.467631	−	0.586391i	0.0356566	−	0.0447119i
$173$	14.0789	+	14.0789i	1.07040	+	1.07040i	0.997327	+	0.0730739i	$0.0232809\pi$
$173$	14.0789	+	14.0789i	1.07040	+	1.07040i	0.0730739	+	0.997327i	$0.476719\pi$
$174$	0.733813	−	0.225750i	0.0556302	−	0.0171141i
$175$	−16.7934	−	12.6224i	−1.26946	−	0.954161i
$176$	−5.40926	+	0.609477i	−0.407738	+	0.0459411i
$177$	−1.77757	−	0.405719i	−0.133610	−	0.0304957i
$178$	0.671538	−	1.06875i	0.0503339	−	0.0801059i
$179$	9.73988	−	12.2134i	0.727993	−	0.912874i	−0.270768	−	0.962645i	$-0.587278\pi$
$179$	9.73988	−	12.2134i	0.727993	−	0.912874i	0.998761	+	0.0497706i	$0.0158490\pi$
$180$	4.90391	−	4.51043i	0.365516	−	0.336188i
$181$	−2.35630	+	10.3236i	−0.175142	+	0.767349i	0.808687	+	0.588239i	$0.200179\pi$
$181$	−2.35630	+	10.3236i	−0.175142	+	0.767349i	−0.983829	+	0.179109i	$0.942678\pi$
$182$	10.9067	+	5.25237i	0.808455	+	0.389331i
$183$	0.0839327	+	0.239866i	0.00620449	+	0.0177314i
$184$	0.318012	−	0.506114i	0.0234442	−	0.0373112i
$185$	−1.83307	−	3.20727i	−0.134770	−	0.235803i
$186$	−0.587134	+	0.587134i	−0.0430508	+	0.0430508i
$187$	−13.4240	+	38.3637i	−0.981663	+	2.80543i
$188$	−0.521764	−	0.654271i	−0.0380535	−	0.0477176i
$189$	0.401050	−	3.55942i	0.0291721	−	0.258910i
$190$	2.76980	−	10.1592i	0.200943	−	0.737027i
$191$	−15.6823	−	15.6823i	−1.13473	−	1.13473i	−0.989380	−	0.145352i	$-0.953569\pi$
$191$	−15.6823	−	15.6823i	−1.13473	−	1.13473i	−0.145352	−	0.989380i	$-0.546431\pi$
$192$	0.128449	−	0.0618580i	0.00927004	−	0.00446422i
$193$	−1.64314	−	7.19906i	−0.118276	−	0.518200i	−0.999006	−	0.0445813i	$-0.985805\pi$
$193$	−1.64314	−	7.19906i	−0.118276	−	0.518200i	0.880730	−	0.473619i	$-0.157053\pi$
$194$	−4.39655	+	9.12954i	−0.315654	+	0.655463i
$195$	0.843444	−	0.363611i	0.0604003	−	0.0260387i
$196$	10.3866	+	2.37068i	0.741902	+	0.169334i
$197$	1.55395	−	13.7917i	0.110715	−	0.982619i	−0.808401	−	0.588632i	$-0.799667\pi$
$197$	1.55395	−	13.7917i	0.110715	−	0.982619i	0.919116	−	0.393987i	$-0.128905\pi$
$198$	−1.81604	−	16.1178i	−0.129061	−	1.14544i
$199$	1.61761	−	0.369209i	0.114669	−	0.0261725i	−0.164801	−	0.986327i	$-0.552698\pi$
$199$	1.61761	−	0.369209i	0.114669	−	0.0261725i	0.279470	+	0.960154i	$0.409841\pi$
$200$	4.98256	+	0.417223i	0.352320	+	0.0295021i
$201$	−0.0409027	−	0.363021i	−0.00288505	−	0.0256055i
$202$	−8.14833	+	8.14833i	−0.573315	+	0.573315i
$203$	−22.2352	+	4.18989i	−1.56060	+	0.294073i
$204$		−	1.06451i		−	0.0745303i
$205$	4.15949	−	0.768202i	0.290511	−	0.0536535i
$206$	−5.54470	+	3.48397i	−0.386318	+	0.242740i
$207$	1.50805	+	0.947573i	0.104817	+	0.0658609i
$208$	−2.86302	+	0.322585i	−0.198515	+	0.0223672i
$209$	−15.9827	−	20.0417i	−1.10555	−	1.38631i
$210$	1.08118	−	0.790673i	0.0746087	−	0.0545616i
$211$	18.9157	−	6.61890i	1.30221	−	0.455664i	0.411989	−	0.911189i	$-0.364834\pi$
$211$	18.9157	−	6.61890i	1.30221	−	0.455664i	0.890223	+	0.455525i	$0.150549\pi$
$212$	8.79650	−	3.07803i	0.604146	−	0.211400i
$213$	0.870974	−	0.198794i	0.0596782	−	0.0136212i
$214$	−0.141563	+	0.404563i	−0.00967704	+	0.0276554i
$215$	0.118019	+	1.67294i	0.00804881	+	0.114094i
$216$	0.369891	+	0.768086i	0.0251679	+	0.0522616i
$217$	19.1320	−	15.2573i	1.29877	−	1.03573i
$218$	4.67070	−	3.72476i	0.316340	−	0.252273i
$219$	−0.334083	−	0.693731i	−0.0225752	−	0.0468780i
$220$	7.97989	−	9.19124i	0.538004	−	0.619673i
$221$	−7.10509	+	20.3052i	−0.477940	+	1.36588i
$222$	0.229628	−	0.0524110i	0.0154116	−	0.00351759i
$223$	1.82167	−	0.637430i	0.121988	−	0.0426855i	−0.268595	−	0.963253i	$-0.586559\pi$
$223$	1.82167	−	0.637430i	0.121988	−	0.0426855i	0.390583	+	0.920568i	$0.372274\pi$
$224$	−3.96585	+	1.38771i	−0.264980	+	0.0927204i
$225$	−1.24319	+	14.8464i	−0.0828793	+	0.989761i
$226$	−11.0344	−	13.8367i	−0.733997	−	0.920404i
$227$	13.4486	−	1.51529i	0.892614	−	0.100573i	0.346271	−	0.938135i	$-0.387448\pi$
$227$	13.4486	−	1.51529i	0.892614	−	0.100573i	0.546343	+	0.837561i	$0.316019\pi$
$228$	0.568472	+	0.357195i	0.0376480	+	0.0236558i
$229$	−13.4021	+	8.42109i	−0.885635	+	0.556482i	−0.896293	−	0.443462i	$-0.853750\pi$
$229$	−13.4021	+	8.42109i	−0.885635	+	0.556482i	0.0106580	+	0.999943i	$0.496607\pi$
$230$	0.242741	+	1.31434i	0.0160059	+	0.0866651i
$231$		−	3.26075i		−	0.214542i
$232$	3.95034	−	3.65989i	0.259353	−	0.240283i
$233$	0.156266	−	0.156266i	0.0102373	−	0.0102373i	−0.701970	−	0.712207i	$-0.747696\pi$
$233$	0.156266	−	0.156266i	0.0102373	−	0.0102373i	0.712207	+	0.701970i	$0.247696\pi$
$234$	−0.961197	−	8.53086i	−0.0628354	−	0.557680i
$235$	1.84910	+	0.286979i	0.120622	+	0.0187204i
$236$	−12.4682	+	2.84579i	−0.811611	+	0.185245i
$237$	0.104832	+	0.930407i	0.00680955	+	0.0604364i
$238$	−3.51256	+	31.1748i	−0.227685	+	2.02076i
$239$	5.14026	+	1.17323i	0.332496	+	0.0758900i	0.385510	−	0.922704i	$-0.374026\pi$
$239$	5.14026	+	1.17323i	0.332496	+	0.0758900i	−0.0530139	+	0.998594i	$0.516883\pi$
$240$	−0.117764	+	0.296243i	−0.00760162	+	0.0191224i
$241$	10.9397	−	22.7164i	0.704685	−	1.46329i	−0.173430	−	0.984846i	$-0.555485\pi$
$241$	10.9397	−	22.7164i	0.704685	−	1.46329i	0.878116	−	0.478448i	$-0.158801\pi$
$242$	−4.14591	−	18.1644i	−0.266509	−	1.16765i
$243$	−3.43686	+	1.65510i	−0.220475	+	0.106175i
$244$	1.26041	+	1.26041i	0.0806897	+	0.0806897i
$245$	−20.6827	+	11.8209i	−1.32137	+	0.755213i
$246$	−0.0301954	+	0.267992i	−0.00192519	+	0.0170865i
$247$	−8.45936	−	10.6077i	−0.538256	−	0.674952i
$248$	−1.92358	+	5.49728i	−0.122148	+	0.349078i
$249$	−0.166608	+	0.166608i	−0.0105584	+	0.0105584i
$250$	−8.83180	+	6.85561i	−0.558572	+	0.433587i
$251$	15.9751	−	25.4243i	1.00834	−	1.60477i	0.233756	−	0.972295i	$-0.424898\pi$
$251$	15.9751	−	25.4243i	1.00834	−	1.60477i	0.774585	−	0.632470i	$-0.217959\pi$
$252$	−4.13493	−	11.8170i	−0.260476	−	0.744398i
$253$	2.93152	+	1.41175i	0.184303	+	0.0887557i
$254$	−1.52299	+	6.67263i	−0.0955606	+	0.418678i
$255$	1.61138	+	1.75195i	0.100908	+	0.109711i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	2.30710	−	3.67173i	0.143913	−	0.229036i	−0.766988	−	0.641662i	$-0.778245\pi$
$257$	2.30710	−	3.67173i	0.143913	−	0.229036i	0.910901	+	0.412625i	$0.135388\pi$
$258$	−0.104248	−	0.0237940i	−0.00649022	−	0.00148135i
$259$	−6.89775	+	0.777190i	−0.428606	+	0.0482923i
$260$	4.22361	−	4.86475i	0.261937	−	0.301699i
$261$	10.9053	+	11.7707i	0.675020	+	0.728590i
$262$	−4.37944	−	4.37944i	−0.270563	−	0.270563i
$263$	−7.05216	+	8.84312i	−0.434855	+	0.545290i	−0.950179	−	0.311705i	$-0.899100\pi$
$263$	−7.05216	+	8.84312i	−0.434855	+	0.545290i	0.515324	+	0.856995i	$0.327671\pi$
$264$	0.412893	+	0.657115i	0.0254118	+	0.0404427i
$265$	−9.81784	+	18.3813i	−0.603105	+	1.12916i
$266$	−15.4695	−	12.3365i	−0.948495	−	0.756400i
$267$	−0.178820	−	0.0201482i	−0.0109436	−	0.00123305i
$268$	−1.36328	−	2.16966i	−0.0832759	−	0.132533i
$269$	5.77887	+	16.5151i	0.352344	+	1.00694i	0.974566	+	0.224100i	$0.0719444\pi$
$269$	5.77887	+	16.5151i	0.352344	+	1.00694i	−0.622222	+	0.782841i	$0.713770\pi$
$270$	−1.77144	−	0.704189i	−0.107806	−	0.0428556i
$271$	10.4551	+	6.56935i	0.635100	+	0.399060i	0.810750	−	0.585393i	$-0.199060\pi$
$271$	10.4551	+	6.56935i	0.635100	+	0.399060i	−0.175650	+	0.984453i	$0.556203\pi$
$272$	−3.23965	−	6.72721i	−0.196433	−	0.407897i
$273$		−	1.72586i		−	0.104454i
$274$	−18.1261	+	8.72909i	−1.09504	+	0.527343i
$275$	0.779890	+	27.2062i	0.0470291	+	1.64060i
$276$	−0.0846817	−	0.00954134i	−0.00509724	−	0.000574321i
$277$	−4.83807	−	1.69292i	−0.290692	−	0.101717i	0.180994	−	0.983484i	$-0.442069\pi$
$277$	−4.83807	−	1.69292i	−0.290692	−	0.101717i	−0.471686	+	0.881767i	$0.656354\pi$
$278$	17.2395			1.03396
$279$	−16.3801	−	5.73165i	−0.980651	−	0.343145i
$280$	4.42632	−	8.28712i	0.264523	−	0.495250i
$281$	−17.4858	−	8.42071i	−1.04311	−	0.502338i	−0.167765	−	0.985827i	$-0.553655\pi$
$281$	−17.4858	−	8.42071i	−1.04311	−	0.502338i	−0.875350	+	0.483490i	$0.839369\pi$
$282$	−0.0517655	+	0.107492i	−0.00308259	+	0.00640107i
$283$	0.256223	−	0.160995i	0.0152309	−	0.00957019i	−0.524395	−	0.851475i	$-0.675709\pi$
$283$	0.256223	−	0.160995i	0.0152309	−	0.00957019i	0.539626	+	0.841905i	$0.318566\pi$
$284$	4.89918	−	3.90697i	0.290713	−	0.231836i
$285$	−1.47628	+	0.272649i	−0.0874473	+	0.0161503i
$286$	−3.48989	−	15.2902i	−0.206361	−	0.904128i
$287$	1.76859	−	7.74870i	0.104397	−	0.457392i
$288$	2.32960	+	1.85780i	0.137273	+	0.109472i
$289$	−38.7507			−2.27945
$290$	−0.961327	+	12.0032i	−0.0564511	+	0.704850i
$291$	1.44465			0.0846867
$292$	−4.22252	−	3.36735i	−0.247104	−	0.197059i
$293$	1.39158	−	6.09691i	0.0812970	−	0.356185i	−0.917875	−	0.396869i	$-0.870097\pi$
$293$	1.39158	−	6.09691i	0.0812970	−	0.356185i	0.999172	+	0.0406841i	$0.0129537\pi$
$294$	−0.337983	−	1.48080i	−0.0197116	−	0.0863621i
$295$	16.2122	−	23.5571i	0.943913	−	1.37155i
$296$	1.29164	−	1.03005i	0.0750751	−	0.0598704i
$297$	−3.92934	+	2.46897i	−0.228003	+	0.143264i
$298$	3.24043	−	6.72882i	0.187713	−	0.389790i
$299$	1.55160	+	0.747211i	0.0897313	+	0.0432123i
$300$	−0.254619	−	0.665816i	−0.0147005	−	0.0384409i
$301$	2.97448	+	1.04082i	0.171446	+	0.0599916i
$302$	16.7413			0.963351
$303$	1.55069	+	0.542610i	0.0890848	+	0.0311721i
$304$	4.67956	+	0.527260i	0.268391	+	0.0302404i
$305$	−3.98230	−	0.166441i	−0.228026	−	0.00953038i
$306$	20.0449	−	9.65311i	1.14589	−	0.551832i
$307$		−	23.8850i		−	1.36319i	−0.731731	−	0.681594i	$-0.761287\pi$
$307$		−	23.8850i		−	1.36319i	0.731731	−	0.681594i	$-0.238713\pi$
$308$	−9.92359	−	20.6065i	−0.565449	−	1.17417i
$309$	0.790498	+	0.496703i	0.0449699	+	0.0282564i
$310$	−5.15561	−	11.9591i	−0.292819	−	0.679233i
$311$	−4.69337	−	13.4129i	−0.266136	−	0.760574i	−0.996953	−	0.0780007i	$-0.975146\pi$
$311$	−4.69337	−	13.4129i	−0.266136	−	0.760574i	0.730817	−	0.682574i	$-0.239139\pi$
$312$	0.218536	+	0.347799i	0.0123722	+	0.0196902i
$313$	−27.2850	−	3.07428i	−1.54224	−	0.173769i	−0.700501	−	0.713652i	$-0.747040\pi$
$313$	−27.2850	−	3.07428i	−1.54224	−	0.173769i	−0.841740	+	0.539883i	$0.818469\pi$
$314$	−5.51726	−	4.39987i	−0.311357	−	0.248299i
$315$	24.6929	+	13.1890i	1.39129	+	0.743115i
$316$	3.49404	+	5.56073i	0.196555	+	0.312815i
$317$	−7.65120	+	9.59430i	−0.429734	+	0.538869i	−0.948805	−	0.315862i	$-0.897706\pi$
$317$	−7.65120	+	9.59430i	−0.429734	+	0.538869i	0.519071	+	0.854731i	$0.326278\pi$
$318$	−0.939505	−	0.939505i	−0.0526848	−	0.0526848i
$319$	22.2049	+	19.1378i	1.24324	+	1.07151i
$320$	0.157354	+	2.23052i	0.00879633	+	0.124690i
$321$	0.0607228	−	0.00684181i	0.00338921	−	0.000381873i
$322$	2.44848	+	0.558850i	0.136449	+	0.0311435i
$323$	18.7071	−	29.7723i	1.04089	−	1.65657i
$324$	−5.49761	+	6.89378i	−0.305423	+	0.382988i
$325$	0.412781	+	14.3998i	0.0228970	+	0.798755i
$326$	−1.74162	+	7.63054i	−0.0964594	+	0.422616i
$327$	−0.767364	−	0.369543i	−0.0424353	−	0.0204358i
$328$	0.624769	+	1.78549i	0.0344971	+	0.0985870i
$329$	1.87069	−	2.97718i	0.103134	−	0.164137i
$330$	−1.67423	−	0.456461i	−0.0921634	−	0.0251274i
$331$	8.44686	−	8.44686i	0.464281	−	0.464281i	−0.435774	−	0.900056i	$-0.643525\pi$
$331$	8.44686	−	8.44686i	0.464281	−	0.464281i	0.900056	+	0.435774i	$0.143525\pi$
$332$	−0.545846	+	1.55994i	−0.0299572	+	0.0856128i
$333$	3.06921	+	3.84867i	0.168192	+	0.210906i
$334$	2.38015	−	21.1244i	0.130236	−	1.15588i
$335$	5.52795	+	1.50714i	0.302024	+	0.0823438i
$336$	0.423571	+	0.423571i	0.0231077	+	0.0231077i
$337$	4.65717	−	2.24277i	0.253692	−	0.122172i	−0.302716	−	0.953081i	$-0.597893\pi$
$337$	4.65717	−	2.24277i	0.253692	−	0.122172i	0.556408	+	0.830909i	$0.312179\pi$
$338$	1.04564	+	4.58125i	0.0568753	+	0.249187i
$339$	−1.09475	+	2.27327i	−0.0594587	+	0.123467i
$340$	15.5150	+	6.16758i	0.841418	+	0.334484i
$341$	−30.9086	−	7.05468i	−1.67379	−	0.382032i
$342$	−1.57106	+	13.9436i	−0.0849533	+	0.753982i
$343$	1.71884	+	15.2551i	0.0928087	+	0.823700i
$344$	−0.731218	+	0.166896i	−0.0394246	+	0.00899841i
$345$	0.153811	−	0.112483i	0.00828091	−	0.00605585i
$346$	−2.22928	−	19.7854i	−0.119847	−	1.06367i
$347$	−25.6130	+	25.6130i	−1.37498	+	1.37498i	−0.522077	+	0.852898i	$0.674843\pi$
$347$	−25.6130	+	25.6130i	−1.37498	+	1.37498i	−0.852898	+	0.522077i	$0.825157\pi$
$348$	−0.714471	−	0.281026i	−0.0382997	−	0.0150646i
$349$			12.3087i			0.658872i	0.944178	+	0.329436i	$0.106859\pi$
$349$			12.3087i			0.658872i	−0.944178	+	0.329436i	$0.893141\pi$
$350$	5.25972	+	20.3391i	0.281144	+	1.08717i
$351$	−2.07972	+	1.30678i	−0.111007	+	0.0697506i
$352$	4.60913	+	2.89611i	0.245667	+	0.154363i
$353$	33.6862	−	3.79552i	1.79293	−	0.202015i	0.848161	−	0.529739i	$-0.177710\pi$
$353$	33.6862	−	3.79552i	1.79293	−	0.202015i	0.944774	+	0.327723i	$0.106281\pi$
$354$	1.13680	+	1.42550i	0.0604202	+	0.0757645i
$355$	−2.14890	+	13.8461i	−0.114052	+	0.734874i
$356$	−1.19138	+	0.416882i	−0.0631431	+	0.0220947i
$357$	4.22167	−	1.47723i	0.223435	−	0.0781831i
$358$	−15.2299	+	3.47612i	−0.804925	+	0.183719i
$359$	1.42516	−	4.07287i	0.0752169	−	0.214958i	−0.900136	−	0.435610i	$-0.856533\pi$
$359$	1.42516	−	4.07287i	0.0752169	−	0.214958i	0.975353	+	0.220652i	$0.0708185\pi$
$360$	−6.64624	+	0.468862i	−0.350287	+	0.0247112i
$361$	1.37814	+	2.86173i	0.0725336	+	0.150618i
$362$	8.27890	−	6.60220i	0.435129	−	0.347004i
$363$	−2.07675	+	1.65615i	−0.109001	+	0.0869255i
$364$	−5.25237	−	10.9067i	−0.275299	−	0.571664i
$365$	12.0466	−	0.849836i	0.630549	−	0.0444825i
$366$	0.0839327	−	0.239866i	0.00438723	−	0.0125380i
$367$	3.22517	−	0.736125i	0.168353	−	0.0384254i	−0.137514	−	0.990500i	$-0.543911\pi$
$367$	3.22517	−	0.736125i	0.168353	−	0.0384254i	0.305866	+	0.952074i	$0.401054\pi$
$368$	−0.564189	+	0.197418i	−0.0294104	+	0.0102911i
$369$	−5.32017	+	1.86161i	−0.276957	+	0.0969114i
$370$	−0.566545	+	3.65044i	−0.0294533	+	0.189777i
$371$	24.4140	+	30.6142i	1.26751	+	1.58941i
$372$	0.825112	−	0.0929678i	0.0427801	−	0.00482015i
$373$	20.4850	+	12.8716i	1.06067	+	0.666465i	0.945083	−	0.326831i	$-0.105981\pi$
$373$	20.4850	+	12.8716i	1.06067	+	0.666465i	0.115591	+	0.993297i	$0.463124\pi$
$374$	34.4147	−	21.6242i	1.77954	−	1.11816i
$375$	1.42692	+	0.710365i	0.0736857	+	0.0366831i
$376$			0.836844i			0.0431569i
$377$	11.7526	+	10.1293i	0.605292	+	0.521685i
$378$	−2.53282	+	2.53282i	−0.130274	+	0.130274i
$379$	0.484380	+	4.29899i	0.0248809	+	0.220824i	1.00000		0.000858956i	$-0.000273414\pi$
$379$	0.484380	+	4.29899i	0.0248809	+	0.220824i	−0.975119	+	0.221683i	$0.928845\pi$
$380$	−8.49969	+	6.21585i	−0.436025	+	0.318866i
$381$	0.951305	−	0.217129i	0.0487368	−	0.0111239i
$382$	2.48316	+	22.0387i	0.127050	+	1.12760i
$383$	1.87014	−	16.5980i	0.0955597	−	0.848116i	−0.850907	−	0.525316i	$-0.823947\pi$
$383$	1.87014	−	16.5980i	0.0955597	−	0.848116i	0.946467	−	0.322800i	$-0.104624\pi$
$384$	−0.138994	−	0.0317244i	−0.00709299	−	0.00161893i
$385$	47.5249	+	18.8923i	2.42209	+	0.962840i
$386$	−3.20388	+	6.65294i	−0.163073	+	0.338625i
$387$	−0.497295	−	2.17879i	−0.0252789	−	0.110754i
$388$	9.12954	−	4.39655i	0.463482	−	0.223201i
$389$	−18.3344	−	18.3344i	−0.929590	−	0.929590i	0.0680895	−	0.997679i	$-0.478310\pi$
$389$	−18.3344	−	18.3344i	−0.929590	−	0.929590i	−0.997679	+	0.0680895i	$0.978310\pi$
$390$	−0.886139	−	0.241596i	−0.0448714	−	0.0122337i
$391$	−0.499703	+	4.43499i	−0.0252711	+	0.224287i
$392$	−6.64250	−	8.32943i	−0.335497	−	0.420700i
$393$	−0.291634	+	0.833441i	−0.0147110	+	0.0420415i
$394$	−9.81392	+	9.81392i	−0.494418	+	0.494418i
$395$	−14.1679	−	3.86273i	−0.712864	−	0.194355i
$396$	−8.62946	+	13.7337i	−0.433647	+	0.690145i
$397$	−6.39821	−	18.2850i	−0.321117	−	0.917700i	−0.985406	−	0.170223i	$-0.945551\pi$
$397$	−6.39821	−	18.2850i	−0.321117	−	0.917700i	0.664289	−	0.747476i	$-0.268735\pi$
$398$	−1.49490	−	0.719904i	−0.0749324	−	0.0360855i
$399$	−0.627706	+	2.75016i	−0.0314246	+	0.137680i
$400$	−3.63539	−	3.43277i	−0.181769	−	0.171639i
$401$	−10.4258	+	13.0735i	−0.520639	+	0.652860i	−0.970744	−	0.240115i	$-0.922815\pi$
$401$	−10.4258	+	13.0735i	−0.520639	+	0.652860i	0.450106	+	0.892975i	$0.351386\pi$
$402$	−0.194361	+	0.309324i	−0.00969385	+	0.0154277i
$403$	−16.3593	−	3.73391i	−0.814916	−	0.185999i
$404$	11.4510	−	1.29022i	0.569710	−	0.0641909i
$405$	−1.38746	−	19.6676i	−0.0689435	−	0.977291i
$406$	19.9965	+	10.5876i	0.992411	+	0.525455i
$407$	6.35903	+	6.35903i	0.315205	+	0.315205i
$408$	−0.663708	+	0.832264i	−0.0328585	+	0.0412032i
$409$	−8.78200	−	13.9765i	−0.434242	−	0.691092i	0.555886	−	0.831259i	$-0.312379\pi$
$409$	−8.78200	−	13.9765i	−0.434242	−	0.691092i	−0.990128	+	0.140166i	$0.955236\pi$
$410$	−3.73099	−	1.99280i	−0.184260	−	0.0984172i
$411$	2.24249	+	1.78833i	0.110614	+	0.0882118i
$412$	6.50724	+	0.733190i	0.320589	+	0.0361217i
$413$	−28.5883	−	45.4979i	−1.40674	−	2.23881i
$414$	−0.588242	−	1.68110i	−0.0289105	−	0.0826215i
$415$	−1.46299	−	3.39359i	−0.0718151	−	0.166585i
$416$	2.43953	+	1.53286i	0.119608	+	0.0751544i
$417$	−1.06640	−	2.21440i	−0.0522219	−	0.108440i
$418$			25.6343i			1.25381i
$419$	−6.08548	+	2.93061i	−0.297295	+	0.143170i	−0.576585	−	0.817037i	$-0.695615\pi$
$419$	−6.08548	+	2.93061i	−0.297295	+	0.143170i	0.279290	+	0.960207i	$0.409901\pi$
$420$	−1.33828	−	0.0559337i	−0.0653014	−	0.00272928i
$421$	−22.0830	−	2.48815i	−1.07626	−	0.121265i	−0.444003	−	0.896025i	$-0.646442\pi$
$421$	−22.0830	−	2.48815i	−1.07626	−	0.121265i	−0.632255	+	0.774760i	$0.717871\pi$
$422$	−18.9157	−	6.61890i	−0.920803	−	0.322203i
$423$	−2.49352			−0.121239
$424$	−8.79650	−	3.07803i	−0.427196	−	0.149482i
$425$	−34.8704	+	13.3350i	−1.69146	+	0.646844i
$426$	−0.804901	−	0.387620i	−0.0389976	−	0.0187803i
$427$	−3.24952	+	6.74770i	−0.157255	+	0.326544i
$428$	0.362920	−	0.228037i	0.0175424	−	0.0110226i
$429$	−1.74814	+	1.39410i	−0.0844010	+	0.0673076i
$430$	0.950792	−	1.38154i	0.0458513	−	0.0666239i
$431$	−5.65319	−	24.7682i	−0.272305	−	1.19304i	−0.907285	−	0.420516i	$-0.861849\pi$
$431$	−5.65319	−	24.7682i	−0.272305	−	1.19304i	0.634980	−	0.772528i	$-0.281008\pi$
$432$	0.189702	−	0.831137i	0.00912702	−	0.0399881i
$433$	3.92134	+	3.12716i	0.188447	+	0.150282i	0.713169	−	0.700992i	$-0.247259\pi$
$433$	3.92134	+	3.12716i	0.188447	+	0.150282i	−0.524722	+	0.851274i	$0.675831\pi$
$434$	−24.4708			−1.17464
$435$	1.60127	−	0.619010i	0.0767748	−	0.0296792i
$436$	−5.97405			−0.286105
$437$	−2.20072	−	1.75501i	−0.105274	−	0.0839536i
$438$	−0.171337	+	0.750678i	−0.00818682	+	0.0358688i
$439$	5.58967	+	24.4899i	0.266780	+	1.16884i	0.913734	+	0.406312i	$0.133185\pi$
$439$	5.58967	+	24.4899i	0.266780	+	1.16884i	−0.646954	+	0.762529i	$0.723957\pi$
$440$	−11.9696	+	2.21062i	−0.570627	+	0.105387i
$441$	24.8190	−	19.7925i	1.18186	−	0.942499i
$442$	18.2151	−	11.4453i	0.866402	−	0.544397i
$443$	−12.3762	+	25.6994i	−0.588010	+	1.22102i	0.368585	+	0.929594i	$0.379842\pi$
$443$	−12.3762	+	25.6994i	−0.588010	+	1.22102i	−0.956595	+	0.291421i	$0.905872\pi$
$444$	−0.212208	−	0.102194i	−0.0100709	−	0.00484991i
$445$	1.32971	−	2.48953i	0.0630343	−	0.118015i
$446$	−1.82167	−	0.637430i	−0.0862586	−	0.0301832i
$447$	−1.06476			−0.0503614
$448$	3.96585	+	1.38771i	0.187369	+	0.0655632i
$449$	40.2024	+	4.52972i	1.89727	+	0.213771i	0.981974	−	0.189016i	$-0.0605298\pi$
$449$	40.2024	+	4.52972i	1.89727	+	0.213771i	0.915294	+	0.402787i	$0.131958\pi$
$450$	10.2286	−	10.8323i	0.482179	−	0.510638i
$451$	−9.27738	+	4.46775i	−0.436855	+	0.210378i
$452$			17.6978i			0.832435i
$453$	−1.03558	−	2.15041i	−0.0486558	−	0.101035i
$454$	−11.4593	−	7.20035i	−0.537812	−	0.337929i
$455$	25.1540	+	9.99934i	1.17924	+	0.468776i
$456$	−0.221742	−	0.633702i	−0.0103840	−	0.0296758i
$457$	15.7939	+	25.1358i	0.738806	+	1.17580i	0.978758	+	0.205018i	$0.0657254\pi$
$457$	15.7939	+	25.1358i	0.738806	+	1.17580i	−0.239952	+	0.970785i	$0.577132\pi$
$458$	15.7286	+	1.77219i	0.734951	+	0.0828091i
$459$	−4.97667	−	3.96876i	−0.232291	−	0.185246i
$460$	0.629696	−	1.17894i	0.0293597	−	0.0549684i
$461$	12.0322	+	19.1491i	0.560394	+	0.891862i	0.999980	−	0.00633864i	$-0.00201767\pi$
$461$	12.0322	+	19.1491i	0.560394	+	0.891862i	−0.439586	+	0.898201i	$0.644875\pi$
$462$	−2.03305	+	2.54936i	−0.0945859	+	0.118607i
$463$	22.5616	+	22.5616i	1.04853	+	1.04853i	0.998761	+	0.0497674i	$0.0158480\pi$
$463$	22.5616	+	22.5616i	1.04853	+	1.04853i	0.0497674	+	0.998761i	$0.484152\pi$
$464$	−5.37041	+	0.398416i	−0.249315	+	0.0184960i
$465$	−1.21723	+	1.40200i	−0.0564476	+	0.0650164i
$466$	−0.219604	+	0.0247434i	−0.0101729	+	0.00114622i
$467$	−5.25494	−	1.19941i	−0.243170	−	0.0555019i	0.0991989	−	0.995068i	$-0.468372\pi$
$467$	−5.25494	−	1.19941i	−0.243170	−	0.0555019i	−0.342369	+	0.939566i	$0.611229\pi$
$468$	−4.56741	+	7.26899i	−0.211129	+	0.336009i
$469$	6.71269	−	8.41744i	0.309963	−	0.388681i
$470$	−1.26676	−	1.37727i	−0.0584312	−	0.0635286i
$471$	−0.223874	+	0.980857i	−0.0103156	+	0.0451955i
$472$	11.5224	+	5.54887i	0.530359	+	0.255408i
$473$	−1.34844	−	3.85363i	−0.0620014	−	0.177190i
$474$	0.498138	−	0.792783i	0.0228803	−	0.0364137i
$475$	4.57953	−	23.0962i	0.210123	−	1.05973i
$476$	22.1834	−	22.1834i	1.01678	−	1.01678i
$477$	9.17152	−	26.2107i	0.419935	−	1.20011i
$478$	−3.28732	−	4.12217i	−0.150359	−	0.188544i
$479$	2.20452	−	19.5657i	0.100727	−	0.893979i	−0.837141	−	0.546987i	$-0.815775\pi$
$479$	2.20452	−	19.5657i	0.100727	−	0.893979i	0.937868	−	0.346992i	$-0.112797\pi$
$480$	0.276776	−	0.158188i	0.0126330	−	0.00722025i
$481$	3.36571	+	3.36571i	0.153463	+	0.153463i
$482$	−22.7164	+	10.9397i	−1.03471	+	0.498288i
$483$	−0.0796743	−	0.349076i	−0.00362530	−	0.0158835i
$484$	−8.08392	+	16.7864i	−0.367451	+	0.763019i
$485$	−8.37006	+	21.0555i	−0.380065	+	0.956080i
$486$	3.71899	+	0.848834i	0.168697	+	0.0385039i
$487$	−2.92123	+	25.9266i	−0.132373	+	1.17485i	0.735311	+	0.677730i	$0.237036\pi$
$487$	−2.92123	+	25.9266i	−0.132373	+	1.17485i	−0.867684	+	0.497116i	$0.834392\pi$
$488$	−0.199576	−	1.77128i	−0.00903437	−	0.0801823i
$489$	1.08787	−	0.248300i	0.0491953	−	0.0112285i
$490$	23.5407	+	3.65349i	1.06346	+	0.165048i
$491$	−1.09681	−	9.73449i	−0.0494985	−	0.439312i	−0.993880	−	0.110461i	$-0.964767\pi$
$491$	−1.09681	−	9.73449i	−0.0494985	−	0.439312i	0.944382	−	0.328851i	$-0.106661\pi$
$492$	0.190698	−	0.190698i	0.00859733	−	0.00859733i
$493$	−14.7180	+	37.4186i	−0.662867	+	1.68525i
$494$			13.5678i			0.610442i
$495$	−6.58693	−	35.6654i	−0.296060	−	1.60304i
$496$	4.93141	−	3.09861i	0.221427	−	0.139132i
$497$	22.2931	+	14.0077i	0.999982	+	0.628330i
$498$	0.234138	−	0.0263810i	0.0104920	−	0.00118216i
$499$	17.6132	+	22.0863i	0.788477	+	0.988719i	0.999936	+	0.0113319i	$0.00360713\pi$
$499$	17.6132	+	22.0863i	0.788477	+	0.988719i	−0.211459	+	0.977387i	$0.567821\pi$
$500$	11.1794	+	0.146602i	0.499957	+	0.00655626i
$501$	−2.86065	+	1.00099i	−0.127805	+	0.0447208i
$502$	−28.3416	+	9.91716i	−1.26495	+	0.442625i
$503$	−7.59759	+	1.73410i	−0.338760	+	0.0773198i	−0.388517	−	0.921442i	$-0.627012\pi$
$503$	−7.59759	+	1.73410i	−0.338760	+	0.0773198i	0.0497569	+	0.998761i	$0.484155\pi$
$504$	−4.13493	+	11.8170i	−0.184184	+	0.526369i
$505$	−16.8929	+	19.4572i	−0.751724	+	0.865835i
$506$	−1.41175	−	2.93152i	−0.0627598	−	0.130322i
$507$	0.523778	−	0.417699i	0.0232618	−	0.0185507i
$508$	5.35104	−	4.26731i	0.237414	−	0.189331i
$509$	−1.81033	−	3.75919i	−0.0802416	−	0.166623i	0.856988	−	0.515336i	$-0.172333\pi$
$509$	−1.81033	−	3.75919i	−0.0802416	−	0.166623i	−0.937230	+	0.348713i	$0.886619\pi$
$510$	−0.167504	−	2.37441i	−0.00741719	−	0.105140i
$511$	7.49476	−	21.4188i	0.331549	−	0.947512i
$512$	−0.974928	+	0.222521i	−0.0430861	+	0.00983413i
$513$	3.78933	−	1.32595i	0.167303	−	0.0585419i
$514$	−4.09305	+	1.43222i	−0.180537	+	0.0631725i
$515$	−11.8194	+	8.64355i	−0.520824	+	0.380880i
$516$	0.0666693	+	0.0836007i	0.00293495	+	0.00368032i
$517$	−4.52671	+	0.510037i	−0.199084	+	0.0224314i
$518$	5.87745	+	3.69305i	0.258240	+	0.162263i
$519$	−2.40353	+	1.51024i	−0.105503	+	0.0662920i
$520$	−6.33527	+	1.17004i	−0.277820	+	0.0513096i
$521$		−	1.25378i		−	0.0549292i	−0.999623	−	0.0274646i	$-0.991257\pi$
$521$		−	1.25378i		−	0.0549292i	0.999623	−	0.0274646i	$-0.00874335\pi$
$522$	−1.18715	−	16.0021i	−0.0519602	−	0.700391i
$523$	13.2500	−	13.2500i	0.579380	−	0.579380i	−0.355352	−	0.934733i	$-0.615639\pi$
$523$	13.2500	−	13.2500i	0.579380	−	0.579380i	0.934733	+	0.355352i	$0.115639\pi$
$524$	0.693448	+	6.15452i	0.0302934	+	0.268862i
$525$	2.28719	−	1.93374i	0.0998212	−	0.0843955i
$526$	11.0272	−	2.51689i	0.480809	−	0.109741i
$527$	−4.86895	−	43.2131i	−0.212095	−	1.88239i
$528$	0.0868920	−	0.771188i	0.00378149	−	0.0335617i
$529$	−22.0750	−	5.03848i	−0.959783	−	0.219064i
$530$	19.1365	−	8.24978i	0.831235	−	0.358347i
$531$	−16.5338	+	34.3329i	−0.717507	+	1.48992i
$532$	4.40285	+	19.2901i	0.190888	+	0.836333i
$533$	−4.91034	+	2.36470i	−0.212690	+	0.102426i
$534$	0.127245	+	0.127245i	0.00550642	+	0.00550642i
$535$	−0.252100	+	0.924664i	−0.0108992	+	0.0399767i
$536$	−0.286899	+	2.54630i	−0.0123921	+	0.109983i
$537$	1.38860	+	1.74125i	0.0599224	+	0.0751403i
$538$	5.77887	−	16.5151i	0.249145	−	0.712015i
$539$	41.0076	−	41.0076i	1.76632	−	1.76632i
$540$	0.945912	+	1.65503i	0.0407056	+	0.0712212i
$541$	1.90200	−	3.02702i	0.0817735	−	0.130142i	−0.803333	−	0.595530i	$-0.796942\pi$
$541$	1.90200	−	3.02702i	0.0817735	−	0.130142i	0.885107	+	0.465388i	$0.154085\pi$
$542$	−4.07817	−	11.6548i	−0.175173	−	0.500614i
$543$	−1.36017	−	0.655021i	−0.0583703	−	0.0281097i
$544$	−1.66148	+	7.27944i	−0.0712355	+	0.312103i
$545$	9.83201	−	9.04312i	0.421157	−	0.387365i
$546$	−1.07605	+	1.34933i	−0.0460508	+	0.0577459i
$547$	−0.795699	+	1.26635i	−0.0340216	+	0.0541451i	−0.863302	−	0.504687i	$-0.831608\pi$
$547$	−0.795699	+	1.26635i	−0.0340216	+	0.0541451i	0.829280	+	0.558833i	$0.188751\pi$
$548$	19.6141	+	4.47679i	0.837872	+	0.191239i
$549$	5.27785	−	0.594671i	0.225253	−	0.0253799i
$550$	16.3531	−	21.7570i	0.697298	−	0.927720i
$551$	−15.0438	−	20.4156i	−0.640888	−	0.869733i
$552$	0.0602579	+	0.0602579i	0.00256475	+	0.00256475i
$553$	−17.2043	+	21.5735i	−0.731602	+	0.917400i
$554$	2.72704	+	4.34006i	0.115861	+	0.184392i
$555$	0.503943	−	0.153037i	0.0213912	−	0.00649605i
$556$	−13.4784	−	10.7486i	−0.571610	−	0.455844i
$557$	22.1113	+	2.49134i	0.936885	+	0.105562i	0.567186	−	0.823590i	$-0.308032\pi$
$557$	22.1113	+	2.49134i	0.936885	+	0.105562i	0.369699	+	0.929151i	$0.379461\pi$
$558$	9.23286	+	14.6940i	0.390858	+	0.622047i
$559$	−0.713705	−	2.03965i	−0.0301865	−	0.0862681i
$560$	−8.62757	+	3.71937i	−0.364581	+	0.157172i
$561$	−4.90644	−	3.08292i	−0.207150	−	0.130161i
$562$	8.42071	+	17.4858i	0.355206	+	0.737593i
$563$		−	22.6056i		−	0.952713i	−0.879252	−	0.476357i	$-0.841957\pi$
$563$		−	22.6056i		−	0.952713i	0.879252	−	0.476357i	$-0.158043\pi$
$564$	0.107492	−	0.0517655i	0.00452624	−	0.00217972i
$565$	−26.7898	−	29.1268i	−1.12705	−	1.22537i
$566$	−0.300702	−	0.0338810i	−0.0126395	−	0.00142412i
$567$	−34.9688	−	12.2361i	−1.46855	−	0.513869i
$568$	−6.26629			−0.262928
$569$	15.9683	+	5.58753i	0.669424	+	0.234242i	0.643527	−	0.765423i	$-0.277470\pi$
$569$	15.9683	+	5.58753i	0.669424	+	0.234242i	0.0258966	+	0.999665i	$0.491756\pi$
$570$	1.32420	+	0.707280i	0.0554645	+	0.0296247i
$571$	27.4720	+	13.2298i	1.14967	+	0.553651i	0.908934	−	0.416940i	$-0.136897\pi$
$571$	27.4720	+	13.2298i	1.14967	+	0.553651i	0.240735	+	0.970591i	$0.422612\pi$
$572$	−6.80478	+	14.1303i	−0.284522	+	0.590816i
$573$	2.67725	−	1.68223i	0.111844	−	0.0702762i
$574$	−6.21398	+	4.95548i	−0.259366	+	0.206838i
$575$	0.748256	+	2.89347i	0.0312044	+	0.120666i
$576$	−0.663040	−	2.90497i	−0.0276267	−	0.121040i
$577$	6.83984	−	29.9673i	0.284746	−	1.24755i	−0.606884	−	0.794790i	$-0.707581\pi$
$577$	6.83984	−	29.9673i	0.284746	−	1.24755i	0.891630	−	0.452764i	$-0.149562\pi$
$578$	30.2965	+	24.1607i	1.26017	+	1.00495i
$579$	1.05275			0.0437509
$580$	8.23544	−	8.78507i	0.341958	−	0.364780i
$581$	−6.94396			−0.288084
$582$	−1.12947	−	0.900723i	−0.0468181	−	0.0373362i
$583$	11.2886	−	49.4585i	0.467525	−	2.04836i
$584$	1.20179	+	5.26540i	0.0497305	+	0.217884i
$585$	−3.48634	−	18.8770i	−0.144142	−	0.780470i
$586$	−4.88934	+	3.89912i	−0.201977	+	0.161071i
$587$	23.7136	−	14.9002i	0.978765	−	0.614999i	0.0552140	−	0.998475i	$-0.482416\pi$
$587$	23.7136	−	14.9002i	0.978765	−	0.614999i	0.923551	+	0.383476i	$0.125273\pi$
$588$	−0.659019	+	1.36847i	−0.0271775	+	0.0564346i
$589$	24.7106	+	11.9000i	1.01818	+	0.490331i
$590$	−27.3628	+	8.30951i	−1.12651	+	0.342097i
$591$	1.86766	+	0.653523i	0.0768254	+	0.0268824i
$592$	−1.65207			−0.0678997
$593$	−35.4387	−	12.4005i	−1.45529	−	0.509229i	−0.517276	−	0.855818i	$-0.673054\pi$
$593$	−35.4387	−	12.4005i	−1.45529	−	0.509229i	−0.938017	+	0.346589i	$0.887340\pi$
$594$	4.61145	+	0.519586i	0.189210	+	0.0213189i
$595$	−2.92938	+	70.0890i	−0.120093	+	2.87337i
$596$	−6.72882	+	3.24043i	−0.275623	+	0.132733i
$597$			0.236550i			0.00968137i
$598$	−0.747211	−	1.55160i	−0.0305557	−	0.0634496i
$599$	−25.0846	−	15.7617i	−1.02493	−	0.644006i	−0.0889414	−	0.996037i	$-0.528348\pi$
$599$	−25.0846	−	15.7617i	−1.02493	−	0.644006i	−0.935988	+	0.352031i	$0.885491\pi$
$600$	−0.216060	+	0.679309i	−0.00882062	+	0.0277327i
$601$	2.21230	+	6.32239i	0.0902417	+	0.257896i	0.980155	−	0.198235i	$-0.0635208\pi$
$601$	2.21230	+	6.32239i	0.0902417	+	0.257896i	−0.889913	+	0.456130i	$0.849235\pi$
$602$	−1.67660	−	2.66830i	−0.0683333	−	0.108752i
$603$	−7.58714	−	0.854865i	−0.308972	−	0.0348128i
$604$	−13.0888	−	10.4380i	−0.532577	−	0.424716i
$605$	−12.1058	−	39.8638i	−0.492170	−	1.62069i
$606$	−0.874066	−	1.39107i	−0.0355065	−	0.0565083i
$607$	0.448429	−	0.562312i	0.0182012	−	0.0228236i	−0.772648	−	0.634835i	$-0.781068\pi$
$607$	0.448429	−	0.562312i	0.0182012	−	0.0228236i	0.790849	+	0.612012i	$0.209639\pi$
$608$	−3.32989	−	3.32989i	−0.135045	−	0.135045i
$609$	0.123029	−	3.22347i	0.00498538	−	0.130622i
$610$	3.00971	+	2.61305i	0.121860	+	0.105799i
$611$	−2.39590	+	0.269953i	−0.0969277	+	0.0109211i
$612$	−21.6904	−	4.95068i	−0.876780	−	0.200119i
$613$	−2.72947	+	4.34392i	−0.110242	+	0.175449i	−0.897289	−	0.441444i	$-0.854466\pi$
$613$	−2.72947	+	4.34392i	−0.110242	+	0.175449i	0.787047	+	0.616894i	$0.211609\pi$
$614$	−14.8920	+	18.6740i	−0.600994	+	0.753622i
$615$	−0.0251822	+	0.602514i	−0.00101544	+	0.0242957i
$616$	−5.08940	+	22.2981i	−0.205058	+	0.898416i
$617$	−40.8192	−	19.6575i	−1.64332	−	0.791381i	−0.999660	−	0.0260680i	$-0.991701\pi$
$617$	−40.8192	−	19.6575i	−1.64332	−	0.791381i	−0.643659	−	0.765313i	$-0.722584\pi$
$618$	−0.308347	−	0.881206i	−0.0124035	−	0.0354473i
$619$	24.4126	−	38.8525i	0.981226	−	1.56161i	0.163072	−	0.986614i	$-0.447860\pi$
$619$	24.4126	−	38.8525i	0.981226	−	1.56161i	0.818154	−	0.574999i	$-0.194997\pi$
$620$	−3.42558	+	12.5645i	−0.137575	+	0.504603i
$621$	−0.360323	+	0.360323i	−0.0144592	+	0.0144592i
$622$	−4.69337	+	13.4129i	−0.188187	+	0.537807i
$623$	−3.30659	−	4.14633i	−0.132476	−	0.166119i
$624$	0.0459903	−	0.408175i	0.00184109	−	0.0163401i
$625$	−18.6208	+	16.6813i	−0.744831	+	0.667253i
$626$	19.4155	+	19.4155i	0.776000	+	0.776000i
$627$	3.29271	−	1.58569i	0.131498	−	0.0633262i
$628$	1.57030	+	6.87991i	0.0626616	+	0.274538i
$629$	−5.35214	+	11.1138i	−0.213404	+	0.443138i
$630$	−11.0825	−	25.7074i	−0.441537	−	1.02421i
$631$	−20.3254	−	4.63913i	−0.809140	−	0.184681i	−0.202113	−	0.979362i	$-0.564781\pi$
$631$	−20.3254	−	4.63913i	−0.809140	−	0.184681i	−0.607027	+	0.794681i	$0.707638\pi$
$632$	0.735309	−	6.52605i	0.0292490	−	0.259592i
$633$	0.319895	+	2.83915i	0.0127147	+	0.112846i
$634$	11.9639	−	2.73068i	0.475147	−	0.108449i
$635$	−2.34709	+	15.1231i	−0.0931415	+	0.600143i
$636$	0.148763	+	1.32031i	0.00589883	+	0.0523536i
$637$	21.7045	−	21.7045i	0.859965	−	0.859965i
$638$	−5.42827	−	28.8071i	−0.214907	−	1.14048i
$639$		−	18.6715i		−	0.738633i
$640$	1.26769	−	1.84200i	0.0501097	−	0.0728115i
$641$	−16.6635	+	10.4703i	−0.658167	+	0.413554i	−0.819289	−	0.573381i	$-0.805632\pi$
$641$	−16.6635	+	10.4703i	−0.658167	+	0.413554i	0.161122	+	0.986935i	$0.448489\pi$
$642$	−0.0517408	−	0.0325109i	−0.00204205	−	0.00128310i
$643$	3.41203	−	0.384444i	0.134557	−	0.0151610i	−0.0444289	−	0.999013i	$-0.514147\pi$
$643$	3.41203	−	0.384444i	0.134557	−	0.0151610i	0.178986	+	0.983852i	$0.442718\pi$
$644$	−1.56586	−	1.96353i	−0.0617037	−	0.0773740i
$645$	−0.236273	−	0.0366693i	−0.00930323	−	0.00144385i
$646$	−33.1885	+	11.6132i	−1.30579	+	0.456914i
$647$	11.8350	−	4.14126i	0.465283	−	0.162810i	−0.0874481	−	0.996169i	$-0.527871\pi$
$647$	11.8350	−	4.14126i	0.465283	−	0.162810i	0.552732	+	0.833359i	$0.313585\pi$
$648$	8.59641	−	1.96207i	0.337699	−	0.0770776i
$649$	−22.9927	+	65.7093i	−0.902542	+	2.57932i
$650$	8.65538	−	11.5155i	0.339492	−	0.451677i
$651$	1.51371	+	3.14326i	0.0593271	+	0.123194i
$652$	6.11922	−	4.87991i	0.239647	−	0.191112i
$653$	0.850420	−	0.678187i	0.0332795	−	0.0265395i	−0.606709	−	0.794924i	$-0.707511\pi$
$653$	0.850420	−	0.678187i	0.0332795	−	0.0265395i	0.639988	+	0.768385i	$0.278939\pi$
$654$	0.369543	+	0.767364i	0.0144503	+	0.0300063i
$655$	−10.4576	−	9.07933i	−0.408611	−	0.354759i
$656$	0.624769	−	1.78549i	0.0243931	−	0.0697115i
$657$	−15.6892	+	3.58095i	−0.612093	+	0.139706i
$658$	−3.31880	+	1.16130i	−0.129380	+	0.0452721i
$659$	37.1447	−	12.9975i	1.44695	−	0.506311i	0.511352	−	0.859371i	$-0.329145\pi$
$659$	37.1447	−	12.9975i	1.44695	−	0.506311i	0.935600	+	0.353061i	$0.114859\pi$
$660$	1.02437	+	1.40074i	0.0398734	+	0.0545238i
$661$	6.77374	+	8.49400i	0.263468	+	0.330378i	0.895915	−	0.444225i	$-0.146521\pi$
$661$	6.77374	+	8.49400i	0.263468	+	0.330378i	−0.632447	+	0.774603i	$0.717949\pi$
$662$	−11.8706	+	1.33749i	−0.461362	+	0.0519830i
$663$	−2.59689	−	1.63173i	−0.100855	−	0.0633713i
$664$	1.39937	−	0.879280i	0.0543059	−	0.0341227i
$665$	−36.4463	−	25.0827i	−1.41333	−	0.972665i
$666$		−	4.92263i		−	0.190748i
$667$	2.84474	+	1.50621i	0.110149	+	0.0583208i
$668$	−15.0317	+	15.0317i	−0.581596	+	0.581596i
$669$	0.0308074	+	0.273423i	0.00119108	+	0.0105711i
$670$	−3.38224	−	4.62495i	−0.130667	−	0.178677i
$671$	9.45970	−	2.15911i	0.365188	−	0.0833517i
$672$	−0.0670689	−	0.595253i	−0.00258724	−	0.0229624i
$673$	2.04676	−	18.1655i	0.0788969	−	0.700229i	−0.890543	−	0.454899i	$-0.849675\pi$
$673$	2.04676	−	18.1655i	0.0788969	−	0.700229i	0.969440	−	0.245330i	$-0.0788962\pi$
$674$	−5.03947	−	1.15023i	−0.194113	−	0.0443050i
$675$	−4.06204	−	1.29197i	−0.156348	−	0.0497279i
$676$	2.03885	−	4.23371i	0.0784172	−	0.162835i
$677$	2.33133	+	10.2142i	0.0896003	+	0.392565i	0.999765	−	0.0216822i	$-0.00690220\pi$
$677$	2.33133	+	10.2142i	0.0896003	+	0.392565i	−0.910165	+	0.414247i	$0.864045\pi$
$678$	2.27327	−	1.09475i	0.0873046	−	0.0420437i
$679$	30.1053	+	30.1053i	1.15533	+	1.15533i
$680$	−8.28468	−	14.4954i	−0.317703	−	0.555875i
$681$	−0.216032	+	1.91734i	−0.00827838	+	0.0734727i
$682$	19.7668	+	24.7868i	0.756909	+	0.949134i
$683$	−6.13212	+	17.5246i	−0.234639	+	0.670560i	0.765009	+	0.644020i	$0.222735\pi$
$683$	−6.13212	+	17.5246i	−0.234639	+	0.670560i	−0.999648	+	0.0265400i	$0.991551\pi$
$684$	9.92198	−	9.92198i	0.379376	−	0.379376i
$685$	−39.0572	+	22.3227i	−1.49230	+	0.852905i
$686$	8.16758	−	12.9986i	0.311840	−	0.496290i
$687$	−0.745306	−	2.12996i	−0.0284352	−	0.0812631i
$688$	0.675747	+	0.325423i	0.0257626	+	0.0124066i
$689$	5.97483	−	26.1775i	0.227623	−	0.997282i
$690$	−0.190386	−	0.00795722i	−0.00724787	−	0.000302926i
$691$	−0.314113	+	0.393885i	−0.0119494	+	0.0149841i	−0.787770	−	0.615969i	$-0.788765\pi$
$691$	−0.314113	+	0.393885i	−0.0119494	+	0.0149841i	0.775821	+	0.630953i	$0.217336\pi$
$692$	−10.5931	+	16.8588i	−0.402688	+	0.640875i
$693$	−66.4411	−	15.1647i	−2.52389	−	0.576061i
$694$	35.9944	−	4.05560i	1.36633	−	0.153948i
$695$	38.4531	−	2.71269i	1.45861	−	0.102898i
$696$	0.383379	+	0.665181i	0.0145319	+	0.0252136i
$697$	−9.98731	−	9.98731i	−0.378296	−	0.378296i
$698$	7.67438	−	9.62337i	0.290480	−	0.364250i
$699$	0.0167625	+	0.0266774i	0.000634017	+	0.00100903i
$700$	8.56901	−	19.1811i	0.323878	−	0.724978i
$701$	11.9125	+	9.49988i	0.449928	+	0.358805i	0.822085	−	0.569364i	$-0.192811\pi$
$701$	11.9125	+	9.49988i	0.449928	+	0.358805i	−0.372158	+	0.928170i	$0.621382\pi$
$702$	2.44076	+	0.275007i	0.0921204	+	0.0103795i
$703$	−4.13915	−	6.58742i	−0.156111	−	0.248449i
$704$	−1.79787	−	5.13801i	−0.0677597	−	0.193646i
$705$	−0.0985500	+	0.247909i	−0.00371161	+	0.00933681i
$706$	−28.7034	−	18.0355i	−1.08027	−	0.678776i
$707$	21.0076	+	43.6226i	0.790070	+	1.64060i
$708$		−	1.82328i		−	0.0685232i
$709$	6.79980	−	3.27461i	0.255372	−	0.122981i	−0.301818	−	0.953365i	$-0.597594\pi$
$709$	6.79980	−	3.27461i	0.255372	−	0.122981i	0.557190	+	0.830385i	$0.311879\pi$
$710$	10.3130	−	9.48549i	0.387039	−	0.355984i
$711$	19.4455	+	2.19098i	0.729263	+	0.0821682i
$712$	1.19138	+	0.416882i	0.0446489	+	0.0156233i
$713$	−3.48126			−0.130374
$714$	−4.22167	−	1.47723i	−0.157992	−	0.0552838i
$715$	−10.1902	−	33.5560i	−0.381094	−	1.25492i
$716$	14.0745	+	6.77794i	0.525990	+	0.253303i
$717$	−0.326143	+	0.677244i	−0.0121801	+	0.0252921i
$718$	−3.65362	+	2.29572i	−0.136352	+	0.0856756i
$719$	−10.8770	+	8.67411i	−0.405643	+	0.323490i	−0.804966	−	0.593321i	$-0.797817\pi$
$719$	−10.8770	+	8.67411i	−0.405643	+	0.323490i	0.399323	+	0.916810i	$0.369245\pi$
$720$	5.48857	+	3.77729i	0.204547	+	0.140771i
$721$	6.12245	+	26.8242i	0.228012	+	0.998986i
$722$	0.706790	−	3.09665i	0.0263040	−	0.115245i
$723$	2.81039	+	2.24121i	0.104519	+	0.0833515i
$724$	−10.5891			−0.393541
$725$	−0.255524	+	26.9246i	−0.00948994	+	0.999955i
$726$	2.65626			0.0985832
$727$	−9.77035	−	7.79160i	−0.362362	−	0.288974i	0.425336	−	0.905036i	$-0.360156\pi$
$727$	−9.77035	−	7.79160i	−0.362362	−	0.288974i	−0.787698	+	0.616061i	$0.788727\pi$
$728$	−2.69372	+	11.8020i	−0.0998360	+	0.437410i
$729$	5.76521	+	25.2590i	0.213526	+	0.935519i
$730$	−9.94830	−	6.84652i	−0.368203	−	0.253401i
$731$	4.37837	−	3.49164i	0.161940	−	0.129143i
$732$	−0.215175	+	0.135204i	−0.00795311	+	0.00499727i
$733$	14.3842	−	29.8690i	0.531291	−	1.10324i	−0.446718	−	0.894675i	$-0.647407\pi$
$733$	14.3842	−	29.8690i	0.531291	−	1.10324i	0.978009	−	0.208562i	$-0.0668783\pi$
$734$	−2.98051	−	1.43534i	−0.110013	−	0.0529793i
$735$	−0.986890	−	3.24978i	−0.0364020	−	0.119870i
$736$	0.564189	+	0.197418i	0.0207963	+	0.00727693i
$737$	−13.9484			−0.513798
$738$	5.32017	+	1.86161i	0.195838	+	0.0685267i
$739$	−6.76255	−	0.761956i	−0.248764	−	0.0280290i	−0.0132982	−	0.999912i	$-0.504233\pi$
$739$	−6.76255	−	0.761956i	−0.248764	−	0.0280290i	−0.235466	+	0.971883i	$0.575662\pi$
$740$	2.71896	−	2.50080i	0.0999508	−	0.0919311i
$741$	1.74277	−	0.839274i	0.0640223	−	0.0308315i
$742$		−	39.1570i		−	1.43750i
$743$	10.8274	+	22.4833i	0.397219	+	0.824833i	0.999645	+	0.0266583i	$0.00848661\pi$
$743$	10.8274	+	22.4833i	0.397219	+	0.824833i	−0.602426	+	0.798175i	$0.705799\pi$
$744$	−0.703063	−	0.441764i	−0.0257755	−	0.0161958i
$745$	6.16905	−	15.5187i	0.226017	−	0.568561i
$746$	−7.99052	−	22.8356i	−0.292554	−	0.836071i
$747$	2.61997	+	4.16965i	0.0958596	+	0.152560i
$748$	−40.3890	−	4.55075i	−1.47677	−	0.166392i
$749$	1.40799	+	1.12284i	0.0514469	+	0.0410275i
$750$	−0.672703	−	1.44505i	−0.0245636	−	0.0527659i
$751$	15.1344	+	24.0863i	0.552263	+	0.878922i	0.999883	−	0.0153023i	$-0.00487108\pi$
$751$	15.1344	+	24.0863i	0.552263	+	0.878922i	−0.447620	+	0.894224i	$0.647728\pi$
$752$	0.521764	−	0.654271i	0.0190268	−	0.0238588i
$753$	3.02701	+	3.02701i	0.110310	+	0.110310i
$754$	−2.87308	−	15.2470i	−0.104632	−	0.555265i
$755$	37.3418	−	2.63430i	1.35901	−	0.0958718i
$756$	3.55942	−	0.401050i	0.129455	−	0.0145861i
$757$	21.0787	+	4.81108i	0.766119	+	0.174862i	0.587684	−	0.809090i	$-0.300040\pi$
$757$	21.0787	+	4.81108i	0.766119	+	0.174862i	0.178434	+	0.983952i	$0.442897\pi$
$758$	2.30168	−	3.66309i	0.0836006	−	0.133050i
$759$	−0.289225	+	0.362676i	−0.0104982	+	0.0131643i
$760$	10.5208	+	0.439720i	0.381631	+	0.0159503i
$761$	−7.35911	+	32.2424i	−0.266768	+	1.16879i	0.646981	+	0.762506i	$0.276031\pi$
$761$	−7.35911	+	32.2424i	−0.266768	+	1.16879i	−0.913749	+	0.406279i	$0.866826\pi$
$762$	−0.879138	−	0.423371i	−0.0318478	−	0.0153371i
$763$	−8.29026	−	23.6922i	−0.300128	−	0.857716i
$764$	11.7995	−	18.7788i	0.426890	−	0.679392i
$765$	43.1917	−	24.6856i	1.56160	−	0.892511i
$766$	−11.8108	+	11.8108i	−0.426741	+	0.426741i
$767$	−12.1696	+	34.7787i	−0.439419	+	1.25579i
$768$	0.0888898	+	0.111464i	0.00320753	+	0.00402212i
$769$	−0.342163	+	3.03678i	−0.0123387	+	0.109509i	−0.998372	−	0.0570398i	$-0.981834\pi$
$769$	−0.342163	+	3.03678i	−0.0123387	+	0.109509i	0.986033	+	0.166549i	$0.0532624\pi$
$770$	−25.3773	−	44.4019i	−0.914535	−	1.60013i
$771$	0.437156	+	0.437156i	0.0157438	+	0.0157438i
$772$	6.65294	−	3.20388i	0.239444	−	0.115310i
$773$	1.28944	+	5.64941i	0.0463780	+	0.203195i	0.992809	−	0.119712i	$-0.0381970\pi$
$773$	1.28944	+	5.64941i	0.0463780	+	0.203195i	−0.946431	+	0.322907i	$0.895340\pi$
$774$	−0.969653	+	2.01351i	−0.0348535	+	0.0723740i
$775$	−13.3815	−	25.8639i	−0.480679	−	0.929058i
$776$	−9.87897	−	2.25481i	−0.354634	−	0.0809430i
$777$	0.110803	−	0.983400i	0.00397502	−	0.0352793i
$778$	2.90310	+	25.7657i	0.104081	+	0.923745i
$779$	8.68471	−	1.98223i	0.311162	−	0.0710207i
$780$	0.542178	+	0.741386i	0.0194131	+	0.0265459i
$781$	−3.81916	−	33.8960i	−0.136660	−	1.21289i
$782$	3.15585	−	3.15585i	0.112853	−	0.112853i
$783$	−3.97756	+	2.29248i	−0.142147	+	0.0819266i
$784$			10.6537i			0.380491i
$785$	−12.9987	−	8.94586i	−0.463944	−	0.319291i
$786$	0.747650	−	0.469780i	0.0266678	−	0.0167565i
$787$	5.18041	+	3.25507i	0.184662	+	0.116031i	0.621190	−	0.783660i	$-0.286649\pi$
$787$	5.18041	+	3.25507i	0.184662	+	0.116031i	−0.436529	+	0.899690i	$0.643792\pi$
$788$	13.7917	−	1.55395i	0.491309	−	0.0553573i
$789$	−1.00541	−	1.26075i	−0.0357937	−	0.0448838i
$790$	8.66854	+	11.8535i	0.308413	+	0.421730i
$791$	−70.1869	+	24.5595i	−2.49556	+	0.873234i
$792$	15.3096	−	5.35706i	0.544003	−	0.190355i
$793$	5.00684	−	1.14278i	0.177798	−	0.0405813i
$794$	−6.39821	+	18.2850i	−0.227064	+	0.648912i
$795$	−2.24342	−	1.94775i	−0.0795660	−	0.0690797i
$796$	0.719904	+	1.49490i	0.0255163	+	0.0529852i
$797$	−4.74772	+	3.78618i	−0.168173	+	0.134113i	−0.703960	−	0.710240i	$-0.748586\pi$
$797$	−4.74772	+	3.78618i	−0.168173	+	0.134113i	0.535787	+	0.844353i	$0.320015\pi$
$798$	2.20546	−	1.75879i	0.0780723	−	0.0622606i
$799$	−2.71109	−	5.62963i	−0.0959113	−	0.199162i
$800$	0.701962	+	4.95048i	0.0248181	+	0.175026i
$801$	−1.24217	+	3.54993i	−0.0438901	+	0.125431i
$802$	16.3024	−	3.72092i	0.575658	−	0.131390i
$803$	−27.7494	+	9.70994i	−0.979256	+	0.342656i
$804$	0.344818	−	0.120657i	0.0121608	−	0.00425524i
$805$	5.54934	+	0.861252i	0.195588	+	0.0303551i
$806$	10.4622	+	13.1192i	0.368515	+	0.462103i
$807$	−2.47882	+	0.279296i	−0.0872586	+	0.00983169i
$808$	−9.75721	−	6.13086i	−0.343258	−	0.215683i
$809$	−3.81462	+	2.39689i	−0.134115	+	0.0842701i	−0.597419	−	0.801930i	$-0.703807\pi$
$809$	−3.81462	+	2.39689i	−0.134115	+	0.0842701i	0.463303	+	0.886200i	$0.346664\pi$
$810$	−11.1778	+	16.2418i	−0.392748	+	0.570680i
$811$			9.71416i			0.341110i	0.985348	+	0.170555i	$0.0545561\pi$
$811$			9.71416i			0.341110i	−0.985348	+	0.170555i	$0.945444\pi$
$812$	−9.03264	−	20.7454i	−0.316983	−	0.728019i
$813$	−1.24478	+	1.24478i	−0.0436563	+	0.0436563i
$814$	−1.00690	−	8.93648i	−0.0352918	−	0.313223i
$815$	−2.68403	+	17.2941i	−0.0940176	+	0.605788i
$816$	1.03782	−	0.236875i	0.0363308	−	0.00829228i
$817$	0.395457	+	3.50977i	0.0138353	+	0.122791i
$818$	−1.84814	+	16.4027i	−0.0646188	+	0.573508i
$819$	−35.1660	−	8.02641i	−1.22880	−	0.280466i
$820$	1.67451	+	3.88426i	0.0584766	+	0.135644i
$821$	−2.30217	+	4.78050i	−0.0803463	+	0.166841i	−0.937272	−	0.348600i	$-0.886657\pi$
$821$	−2.30217	+	4.78050i	−0.0803463	+	0.166841i	0.856925	+	0.515440i	$0.172372\pi$
$822$	−0.638247	−	2.79634i	−0.0222614	−	0.0975337i
$823$	4.31045	−	2.07580i	0.150253	−	0.0723580i	−0.357246	−	0.934010i	$-0.616284\pi$
$823$	4.31045	−	2.07580i	0.150253	−	0.0723580i	0.507499	+	0.861652i	$0.330570\pi$
$824$	−4.63043	−	4.63043i	−0.161309	−	0.161309i
$825$	−3.80624	−	0.754702i	−0.132516	−	0.0262754i
$826$	−6.01631	+	53.3962i	−0.209334	+	1.85789i
$827$	34.5615	+	43.3387i	1.20182	+	1.50703i	0.809409	+	0.587245i	$0.199787\pi$
$827$	34.5615	+	43.3387i	1.20182	+	1.50703i	0.392411	+	0.919790i	$0.371641\pi$
$828$	−0.588242	+	1.68110i	−0.0204428	+	0.0584222i
$829$	−12.3440	+	12.3440i	−0.428724	+	0.428724i	−0.888194	−	0.459469i	$-0.848040\pi$
$829$	−12.3440	+	12.3440i	−0.428724	+	0.428724i	0.459469	+	0.888194i	$0.348040\pi$
$830$	−0.972061	+	3.56537i	−0.0337407	+	0.123756i
$831$	0.388790	−	0.618755i	0.0134870	−	0.0214644i
$832$	−0.951578	−	2.71945i	−0.0329900	−	0.0942801i
$833$	71.6699	+	34.5144i	2.48322	+	1.19585i
$834$	−0.546912	+	2.39618i	−0.0189380	+	0.0829729i
$835$	1.98498	−	47.4931i	0.0686931	−	1.64357i
$836$	15.9827	−	20.0417i	0.552774	−	0.693157i
$837$	2.64160	−	4.20409i	0.0913072	−	0.145315i
$838$	6.58503	+	1.50299i	0.227476	+	0.0519199i
$839$	11.6926	−	1.31744i	0.403672	−	0.0454829i	0.0922055	−	0.995740i	$-0.470608\pi$
$839$	11.6926	−	1.31744i	0.403672	−	0.0454829i	0.311467	+	0.950257i	$0.399180\pi$
$840$	1.01144	+	0.878135i	0.0348978	+	0.0302985i
$841$	21.2290	+	19.7568i	0.732033	+	0.681269i
$842$	15.7138	+	15.7138i	0.541534	+	0.541534i
$843$	1.72515	−	2.16327i	0.0594174	−	0.0745071i
$844$	10.6621	+	16.9686i	0.367004	+	0.584084i
$845$	3.05320	+	10.0541i	0.105033	+	0.345870i
$846$	1.94951	+	1.55469i	0.0670257	+	0.0534512i
$847$	−77.7907	−	8.76490i	−2.67292	−	0.301166i
$848$	4.95826	+	7.89103i	0.170267	+	0.270979i
$849$	0.0142488	+	0.0407209i	0.000489019	+	0.00139754i
$850$	35.5770	+	11.3156i	1.22028	+	0.388122i
$851$	0.836136	+	0.525379i	0.0286624	+	0.0180098i
$852$	0.387620	+	0.804901i	0.0132796	+	0.0275755i
$853$			41.3879i			1.41709i	0.705664	+	0.708547i	$0.250649\pi$
$853$			41.3879i			1.41709i	−0.705664	+	0.708547i	$0.749351\pi$
$854$	6.74770	−	3.24952i	0.230902	−	0.111196i
$855$	−1.31022	+	31.3487i	−0.0448087	+	1.07210i
$856$	−0.425921	−	0.0479898i	−0.0145577	−	0.00164026i
$857$	35.9551	+	12.5812i	1.22820	+	0.429767i	0.864919	−	0.501911i	$-0.167370\pi$
$857$	35.9551	+	12.5812i	1.22820	+	0.429767i	0.363285	+	0.931678i	$0.381655\pi$
$858$	2.23596			0.0763343
$859$	26.4400	+	9.25176i	0.902121	+	0.315666i	0.741186	−	0.671299i	$-0.234263\pi$
$859$	26.4400	+	9.25176i	0.902121	+	0.315666i	0.160935	+	0.986965i	$0.448549\pi$
$860$	−1.60474	+	0.487325i	−0.0547211	+	0.0166176i
$861$	1.02091	+	0.491646i	0.0347926	+	0.0167553i
$862$	−11.0229	+	22.8893i	−0.375442	+	0.779613i
$863$	32.2853	−	20.2862i	1.09900	−	0.690551i	0.144727	−	0.989472i	$-0.453770\pi$
$863$	32.2853	−	20.2862i	1.09900	−	0.690551i	0.954278	+	0.298921i	$0.0966267\pi$
$864$	−0.666520	+	0.531532i	−0.0226755	+	0.0180831i
$865$	−8.08577	−	43.7810i	−0.274924	−	1.48860i
$866$	−1.11607	−	4.88983i	−0.0379257	−	0.166163i
$867$	1.22934	−	5.38611i	0.0417507	−	0.182922i
$868$	19.1320	+	15.2573i	0.649383	+	0.517866i
$869$	35.7492			1.21271
$870$	−1.63787	−	0.514412i	−0.0555289	−	0.0174402i
$871$	−7.38265			−0.250152
$872$	4.67070	+	3.72476i	0.158170	+	0.126136i
$873$	6.71860	−	29.4361i	0.227390	−	0.996261i
$874$	0.626356	+	2.74425i	0.0211868	+	0.0928255i
$875$	14.9324	+	44.5392i	0.504806	+	1.50570i
$876$	0.601997	−	0.480077i	0.0203396	−	0.0162203i
$877$	2.58698	−	1.62551i	0.0873560	−	0.0548894i	−0.487646	−	0.873042i	$-0.662144\pi$
$877$	2.58698	−	1.62551i	0.0873560	−	0.0548894i	0.575002	+	0.818152i	$0.305001\pi$
$878$	10.8991	−	22.6321i	0.367825	−	0.763797i
$879$	0.803285	+	0.386842i	0.0270941	+	0.0130479i
$880$	10.7365	+	5.73458i	0.361927	+	0.193313i
$881$	4.98999	+	1.74607i	0.168117	+	0.0588267i	0.413025	−	0.910720i	$-0.364472\pi$
$881$	4.98999	+	1.74607i	0.168117	+	0.0588267i	−0.244908	+	0.969546i	$0.578758\pi$
$882$	−31.7447			−1.06890
$883$	−5.01728	−	1.75562i	−0.168845	−	0.0590814i	0.244533	−	0.969641i	$-0.421365\pi$
$883$	−5.01728	−	1.75562i	−0.168845	−	0.0590814i	−0.413378	+	0.910560i	$0.635651\pi$
$884$	−21.3771	−	2.40862i	−0.718991	−	0.0810108i
$885$	2.75996	+	3.00073i	0.0927752	+	0.100869i
$886$	25.6994	−	12.3762i	0.863388	−	0.415786i
$887$			27.4712i			0.922393i	0.887298	+	0.461197i	$0.152580\pi$
$887$			27.4712i			0.922393i	−0.887298	+	0.461197i	$0.847420\pi$
$888$	0.102194	+	0.212208i	0.00342940	+	0.00712122i
$889$	24.3492	+	15.2996i	0.816647	+	0.513133i
$890$	−2.59181	+	1.11733i	−0.0868776	+	0.0374531i
$891$	15.8527	+	45.3044i	0.531085	+	1.51775i
$892$	1.02681	+	1.63416i	0.0343801	+	0.0547156i
$893$	3.91606	+	0.441234i	0.131046	+	0.0147653i
$894$	0.832463	+	0.663867i	0.0278417	+	0.0222030i
$895$	−33.4237	+	10.1501i	−1.11723	+	0.339279i
$896$	−2.23540	−	3.55763i	−0.0746796	−	0.118852i
$897$	−0.153081	+	0.191958i	−0.00511123	+	0.00640928i
$898$	−28.6073	−	28.6073i	−0.954636	−	0.954636i
$899$	−30.2890	−	8.14021i	−1.01020	−	0.271491i
$900$	−14.7508	+	2.09162i	−0.491694	+	0.0697206i
$901$	69.1476	−	7.79107i	2.30364	−	0.259558i
$902$	10.0389	+	2.29132i	0.334260	+	0.0762927i
$903$	−0.239030	+	0.380415i	−0.00795443	+	0.0126594i
$904$	11.0344	−	13.8367i	0.366999	−	0.460202i
$905$	17.4274	−	16.0291i	0.579307	−	0.532825i
$906$	−0.531106	+	2.32693i	−0.0176448	+	0.0773070i
$907$	14.6684	+	7.06395i	0.487058	+	0.234555i	0.661262	−	0.750155i	$-0.270021\pi$
$907$	14.6684	+	7.06395i	0.487058	+	0.234555i	−0.174205	+	0.984709i	$0.555735\pi$
$908$	4.46989	+	12.7742i	0.148339	+	0.423927i
$909$	18.2680	−	29.0733i	0.605911	−	0.964301i
$910$	−13.4317	−	23.5011i	−0.445258	−	0.779053i
$911$	−3.15364	+	3.15364i	−0.104485	+	0.104485i	−0.757417	−	0.652932i	$-0.773539\pi$
$911$	−3.15364	+	3.15364i	−0.104485	+	0.104485i	0.652932	+	0.757417i	$0.273539\pi$
$912$	−0.221742	+	0.633702i	−0.00734261	+	0.0209840i
$913$	5.60913	+	7.03363i	0.185635	+	0.232779i
$914$	3.32377	−	29.4993i	0.109941	−	0.975749i
$915$	0.149470	−	0.548234i	0.00494134	−	0.0181241i
$916$	−11.1922	−	11.1922i	−0.369801	−	0.369801i
$917$	−23.4456	+	11.2908i	−0.774243	+	0.372856i
$918$	1.41643	+	6.20580i	0.0467493	+	0.204822i
$919$	18.0807	−	37.5450i	0.596428	−	1.23850i	−0.356215	−	0.934404i	$-0.615933\pi$
$919$	18.0807	−	37.5450i	0.596428	−	1.23850i	0.952643	−	0.304092i	$-0.0983529\pi$
$920$	−1.22737	+	0.529123i	−0.0404653	+	0.0174447i
$921$	3.31986	+	0.757737i	0.109393	+	0.0249683i
$922$	2.53213	−	22.4733i	0.0833913	−	0.740119i
$923$	−2.02141	−	17.9405i	−0.0665354	−	0.590518i
$924$	3.17900	−	0.725586i	0.104581	−	0.0238700i
$925$	−0.689282	+	8.23155i	−0.0226635	+	0.270652i
$926$	−3.57245	−	31.7063i	−0.117398	−	1.04194i
$927$	13.7972	−	13.7972i	0.453159	−	0.453159i
$928$	4.44716	+	3.03690i	0.145985	+	0.0996911i
$929$		−	15.8954i		−	0.521511i	−0.965405	−	0.260756i	$-0.916028\pi$
$929$		−	15.8954i		−	0.521511i	0.965405	−	0.260756i	$-0.0839716\pi$
$930$	1.82580	−	0.337201i	0.0598705	−	0.0110573i
$931$	−42.4804	+	26.6922i	−1.39224	+	0.874801i
$932$	0.187120	+	0.117576i	0.00612933	+	0.00385131i
$933$	2.01320	−	0.226833i	0.0659092	−	0.00742618i
$934$	3.36066	+	4.21413i	0.109964	+	0.137891i
$935$	73.3602	−	53.6486i	2.39914	−	1.75450i
$936$	8.10309	−	2.83539i	0.264858	−	0.0926777i
$937$	−34.9572	+	12.2320i	−1.14200	+	0.399604i	−0.833990	−	0.551779i	$-0.813949\pi$
$937$	−34.9572	+	12.2320i	−1.14200	+	0.399604i	−0.308011	+	0.951383i	$0.599663\pi$
$938$	−10.4964	+	2.39573i	−0.342719	+	0.0782234i
$939$	1.29291	−	3.69492i	0.0421924	−	0.120579i
$940$	0.131680	+	1.86660i	0.00429494	+	0.0608818i
$941$	18.2130	+	37.8198i	0.593728	+	1.23289i	0.953934	+	0.300016i	$0.0969921\pi$
$941$	18.2130	+	37.8198i	0.593728	+	1.23289i	−0.360206	+	0.932873i	$0.617294\pi$
$942$	0.786586	−	0.627281i	0.0256284	−	0.0204379i
$943$	−0.884011	+	0.704975i	−0.0287874	+	0.0229572i
$944$	−5.54887	−	11.5224i	−0.180600	−	0.375021i
$945$	−5.25096	+	6.04805i	−0.170814	+	0.196743i
$946$	−1.34844	+	3.85363i	−0.0438416	+	0.125292i
$947$	−19.9929	+	4.56325i	−0.649682	+	0.148286i	−0.534647	−	0.845076i	$-0.679555\pi$
$947$	−19.9929	+	4.56325i	−0.649682	+	0.148286i	−0.115036	+	0.993361i	$0.536698\pi$
$948$	−0.883752	+	0.309238i	−0.0287029	+	0.0100436i
$949$	−14.6872	+	5.13929i	−0.476768	+	0.166828i
$950$	−17.9807	+	15.2021i	−0.583370	+	0.493220i
$951$	−1.09082	−	1.36784i	−0.0353722	−	0.0443553i
$952$	−31.1748	+	3.51256i	−1.01038	+	0.113843i
$953$	0.634956	+	0.398969i	0.0205682	+	0.0129239i	0.542277	−	0.840200i	$-0.317562\pi$
$953$	0.634956	+	0.398969i	0.0205682	+	0.0129239i	−0.521709	+	0.853124i	$0.674705\pi$
$954$	−23.5127	+	14.7740i	−0.761251	+	0.478326i
$955$	9.00662	+	48.7671i	0.291447	+	1.57807i
$956$			5.27245i			0.170523i
$957$	−3.36447	+	2.47921i	−0.108758	+	0.0801414i
$958$	−13.9226	+	13.9226i	−0.449818	+	0.449818i
$959$	9.46442	+	83.9991i	0.305622	+	2.71247i
$960$	−0.315021	−	0.0488909i	−0.0101673	−	0.00157795i
$961$	2.84704	−	0.649818i	0.0918400	−	0.0209619i
$962$	−0.532933	−	4.72991i	−0.0171824	−	0.152498i
$963$	0.142994	−	1.26911i	0.00460791	−	0.0408964i
$964$	24.5812	+	5.61050i	0.791707	+	0.180702i
$965$	−6.09948	+	15.3437i	−0.196349	+	0.493930i
$966$	−0.155353	+	0.322595i	−0.00499841	+	0.0103793i
$967$	2.44170	+	10.6978i	0.0785197	+	0.344017i	0.998894	−	0.0470215i	$-0.0149729\pi$
$967$	2.44170	+	10.6978i	0.0785197	+	0.344017i	−0.920374	+	0.391039i	$0.872116\pi$
$968$	16.7864	−	8.08392i	0.539536	−	0.259827i
$969$	3.54468	+	3.54468i	0.113872	+	0.113872i
$970$	19.6719	−	11.2432i	0.631625	−	0.360997i
$971$	6.82252	−	60.5515i	0.218945	−	1.94319i	−0.0990148	−	0.995086i	$-0.531569\pi$
$971$	6.82252	−	60.5515i	0.218945	−	1.94319i	0.317960	−	0.948104i	$-0.397002\pi$
$972$	−2.37838	−	2.98240i	−0.0762866	−	0.0956604i
$973$	23.9234	−	68.3693i	0.766950	−	2.19182i
$974$	18.4489	−	18.4489i	0.591140	−	0.591140i
$975$	−2.01457	−	0.399450i	−0.0645179	−	0.0127926i
$976$	−0.948343	+	1.50928i	−0.0303557	+	0.0483109i
$977$	−7.56014	−	21.6056i	−0.241870	−	0.691225i	−0.999267	−	0.0382710i	$-0.987815\pi$
$977$	−7.56014	−	21.6056i	−0.241870	−	0.691225i	0.757397	−	0.652954i	$-0.226471\pi$
$978$	−1.00534	−	0.484148i	−0.0321474	−	0.0154814i
$979$	−1.52891	+	6.69857i	−0.0488640	+	0.214087i
$980$	−16.1269	−	17.5338i	−0.515155	−	0.560096i
$981$	−11.0986	+	13.9172i	−0.354350	+	0.444341i
$982$	−5.21183	+	8.29459i	−0.166316	+	0.264691i
$983$	−33.4849	−	7.64270i	−1.06800	−	0.243764i	−0.347828	−	0.937558i	$-0.613081\pi$
$983$	−33.4849	−	7.64270i	−1.06800	−	0.243764i	−0.720174	+	0.693794i	$0.755938\pi$
$984$	−0.267992	+	0.0301954i	−0.00854327	+	0.000962595i
$985$	−20.3459	+	23.4344i	−0.648275	+	0.746683i
$986$	34.8371	−	20.0785i	1.10944	−	0.639429i
$987$	0.354463	+	0.354463i	0.0112827	+	0.0112827i
$988$	8.45936	−	10.6077i	0.269128	−	0.337476i
$989$	−0.238516	−	0.379597i	−0.00758438	−	0.0120705i
$990$	−17.0872	+	31.9912i	−0.543066	+	1.01675i
$991$	21.8589	+	17.4319i	0.694369	+	0.553741i	0.905828	−	0.423646i	$-0.139250\pi$
$991$	21.8589	+	17.4319i	0.694369	+	0.553741i	−0.211459	+	0.977387i	$0.567821\pi$
$992$	−5.78749	−	0.652093i	−0.183753	−	0.0207040i
$993$	0.906089	+	1.44203i	0.0287539	+	0.0457615i
$994$	−8.69580	−	24.8512i	−0.275814	−	0.788231i
$995$	−3.44768	−	1.37054i	−0.109299	−	0.0434489i
$996$	−0.199505	−	0.125357i	−0.00632156	−	0.00397210i
$997$	−21.1260	−	43.8686i	−0.669067	−	1.38933i	−0.908279	−	0.418365i	$-0.862603\pi$
$997$	−21.1260	−	43.8686i	−0.669067	−	1.38933i	0.239211	−	0.970967i	$-0.423111\pi$
$998$		−	28.2494i		−	0.894221i
$999$	−1.26893	+	0.611086i	−0.0401473	+	0.0193339i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	290.2.o.a.247.4	✓	84
5.3	odd	4		290.2.t.a.73.4	yes	84
29.2	odd	28		290.2.t.a.147.4	yes	84
145.118	even	28	inner	290.2.o.a.263.4	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
290.2.o.a.247.4	✓	84	1.1	even	1	trivial
290.2.o.a.263.4	yes	84	145.118	even	28	inner
290.2.t.a.73.4	yes	84	5.3	odd	4
290.2.t.a.147.4	yes	84	29.2	odd	28

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 290 = 2 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	290.o (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.781831 - 0.623490i) q^{2} +(-0.0317244 + 0.138994i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.84200 - 1.26769i) q^{5} +(0.111464 - 0.0888898i) q^{6} +(-3.55763 + 2.23540i) q^{7} +(0.433884 - 0.900969i) q^{8} +(2.68459 + 1.29283i) q^{9} +(0.649747 + 2.13959i) q^{10} +(5.13801 + 1.79787i) q^{11} -0.142568 q^{12} +(2.71945 + 0.951578i) q^{13} +(4.17522 + 0.470434i) q^{14} +(0.234637 - 0.215810i) q^{15} +(-0.900969 + 0.433884i) q^{16} +7.46664i q^{17} +(-1.29283 - 2.68459i) q^{18} +(-3.98737 - 2.50543i) q^{19} +(0.826018 - 2.07791i) q^{20} +(-0.197844 - 0.565404i) q^{21} +(-2.89611 - 4.60913i) q^{22} +(0.593973 + 0.0669247i) q^{23} +(0.111464 + 0.0888898i) q^{24} +(1.78595 + 4.67016i) q^{25} +(-1.53286 - 2.43953i) q^{26} +(-0.531532 + 0.666520i) q^{27} +(-2.97100 - 2.97100i) q^{28} +(5.01144 + 1.97117i) q^{29} +(-0.318002 + 0.0224336i) q^{30} +(-5.78749 + 0.652093i) q^{31} +(0.974928 + 0.222521i) q^{32} +(-0.412893 + 0.657115i) q^{33} +(4.65537 - 5.83766i) q^{34} +(9.38695 + 0.392329i) q^{35} +(-0.663040 + 2.90497i) q^{36} +(1.48846 + 0.716807i) q^{37} +(1.55534 + 4.44491i) q^{38} +(-0.218536 + 0.347799i) q^{39} +(-1.94136 + 1.10956i) q^{40} +(-1.33759 + 1.33759i) q^{41} +(-0.197844 + 0.565404i) q^{42} +(-0.467631 - 0.586391i) q^{43} +(-0.609477 + 5.40926i) q^{44} +(-3.30612 - 5.78462i) q^{45} +(-0.422660 - 0.422660i) q^{46} +(-0.753970 + 0.363093i) q^{47} +(-0.0317244 - 0.138994i) q^{48} +(4.62248 - 9.59868i) q^{49} +(1.51549 - 4.76480i) q^{50} +(-1.03782 - 0.236875i) q^{51} +(-0.322585 + 2.86302i) q^{52} +(-1.04345 - 9.26088i) q^{53} +(0.831137 - 0.189702i) q^{54} +(-7.18510 - 9.82507i) q^{55} +(0.470434 + 4.17522i) q^{56} +(0.474736 - 0.474736i) q^{57} +(-2.68909 - 4.66570i) q^{58} +12.7889i q^{59} +(0.262611 + 0.180732i) q^{60} +(1.50928 - 0.948343i) q^{61} +(4.93141 + 3.09861i) q^{62} +(-12.4408 + 1.40174i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(-3.80294 - 5.20022i) q^{65} +(0.732517 - 0.256319i) q^{66} +(-2.41862 + 0.846311i) q^{67} +(-7.27944 + 1.66148i) q^{68} +(-0.0281456 + 0.0804354i) q^{69} +(-7.09440 - 6.15940i) q^{70} +(-2.71884 - 5.64573i) q^{71} +(2.32960 - 1.85780i) q^{72} +(-4.22252 + 3.36735i) q^{73} +(-0.716807 - 1.48846i) q^{74} +(-0.705781 + 0.100077i) q^{75} +(1.55534 - 4.44491i) q^{76} +(-22.2981 + 5.08940i) q^{77} +(0.387708 - 0.135665i) q^{78} +(6.19880 - 2.16906i) q^{79} +(2.20962 + 0.342930i) q^{80} +(5.49761 + 6.89378i) q^{81} +(1.87974 - 0.211796i) q^{82} +(1.39937 + 0.879280i) q^{83} +(0.507204 - 0.318698i) q^{84} +(9.46535 - 13.7536i) q^{85} +0.750022i q^{86} +(-0.432965 + 0.634024i) q^{87} +(3.84913 - 3.84913i) q^{88} +(0.141323 + 1.25428i) q^{89} +(-1.02182 + 6.58393i) q^{90} +(-11.8020 + 2.69372i) q^{91} +(0.0669247 + 0.593973i) q^{92} +(0.0929678 - 0.825112i) q^{93} +(0.815863 + 0.186215i) q^{94} +(4.16865 + 9.66974i) q^{95} +(-0.0618580 + 0.128449i) q^{96} +(-2.25481 - 9.87897i) q^{97} +(-9.59868 + 4.62248i) q^{98} +(11.4691 + 11.4691i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 4 q^{3} + 14 q^{4} + 14 q^{5} + 12 q^{7} - 14 q^{9} - 4 q^{10} + 10 q^{11} - 4 q^{12} + 24 q^{13} - 16 q^{14} + 6 q^{15} - 14 q^{16} + 14 q^{19} - 16 q^{21} - 4 q^{22} - 40 q^{23} + 6 q^{25} - 18 q^{26}+ \cdots + 92 q^{99}+O(q^{100}) \) 84 * q + 4 * q^3 + 14 * q^4 + 14 * q^5 + 12 * q^7 - 14 * q^9 - 4 * q^10 + 10 * q^11 - 4 * q^12 + 24 * q^13 - 16 * q^14 + 6 * q^15 - 14 * q^16 + 14 * q^19 - 16 * q^21 - 4 * q^22 - 40 * q^23 + 6 * q^25 - 18 * q^26 - 56 * q^27 + 2 * q^28 + 6 * q^29 + 34 * q^30 - 20 * q^31 + 14 * q^33 + 20 * q^34 - 14 * q^35 + 26 * q^37 + 14 * q^38 + 6 * q^39 + 4 * q^40 + 18 * q^41 - 16 * q^42 - 20 * q^43 - 24 * q^44 - 84 * q^45 - 2 * q^46 - 40 * q^47 + 4 * q^48 + 98 * q^49 + 12 * q^50 + 4 * q^52 + 4 * q^53 - 16 * q^55 - 12 * q^56 + 28 * q^57 - 16 * q^58 - 20 * q^60 - 2 * q^61 + 8 * q^62 - 86 * q^63 + 14 * q^64 - 28 * q^66 - 30 * q^67 - 102 * q^69 - 28 * q^70 + 28 * q^72 - 14 * q^73 + 98 * q^74 - 60 * q^75 + 14 * q^76 - 42 * q^77 - 92 * q^78 - 22 * q^79 - 6 * q^81 - 18 * q^82 - 50 * q^83 - 12 * q^84 - 26 * q^85 + 110 * q^87 + 4 * q^88 - 46 * q^89 - 90 * q^90 - 42 * q^91 - 30 * q^92 + 26 * q^93 - 112 * q^94 - 66 * q^95 + 12 * q^97 + 50 * q^98 + 92 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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