LMFDB - Embedded newform 280.2.bv.e.117.21

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(117,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))

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

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

chi := DirichletCharacter("280.117");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bv (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$40$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			117.21
Character	$\chi$	$=$	280.117
Dual form			280.2.bv.e.213.21

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.193699 + 1.40089i) q^{2} +(2.84558 + 0.762471i) q^{3} +(-1.92496 - 0.542700i) q^{4} +(-1.93059 + 1.12820i) q^{5} +(-1.61932 + 3.83864i) q^{6} +(2.58960 + 0.542205i) q^{7} +(1.13312 - 2.59153i) q^{8} +(4.91789 + 2.83934i) q^{9} +O(q^{10})$	\(q+(-0.193699 + 1.40089i) q^{2} +(2.84558 + 0.762471i) q^{3} +(-1.92496 - 0.542700i) q^{4} +(-1.93059 + 1.12820i) q^{5} +(-1.61932 + 3.83864i) q^{6} +(2.58960 + 0.542205i) q^{7} +(1.13312 - 2.59153i) q^{8} +(4.91789 + 2.83934i) q^{9} +(-1.20652 - 2.92306i) q^{10} +(2.42569 - 1.40047i) q^{11} +(-5.06384 - 3.01202i) q^{12} +(-4.04307 + 4.04307i) q^{13} +(-1.26117 + 3.52271i) q^{14} +(-6.35386 + 1.73835i) q^{15} +(3.41095 + 2.08935i) q^{16} +(-4.13599 - 1.10824i) q^{17} +(-4.93018 + 6.33942i) q^{18} +(-1.30979 - 0.756207i) q^{19} +(4.32858 - 1.12400i) q^{20} +(6.95549 + 3.51738i) q^{21} +(1.49205 + 3.66938i) q^{22} +(-1.13964 - 4.25320i) q^{23} +(5.20036 - 6.51044i) q^{24} +(2.45435 - 4.35617i) q^{25} +(-4.88074 - 6.44701i) q^{26} +(5.57999 + 5.57999i) q^{27} +(-4.69062 - 2.44910i) q^{28} +0.591939 q^{29} +(-1.20450 - 9.23775i) q^{30} +(7.90063 - 4.56143i) q^{31} +(-3.58764 + 4.37365i) q^{32} +(7.97030 - 2.13563i) q^{33} +(2.35365 - 5.57939i) q^{34} +(-5.61116 + 1.87480i) q^{35} +(-7.92583 - 8.13456i) q^{36} +(-0.723325 - 2.69949i) q^{37} +(1.31306 - 1.68839i) q^{38} +(-14.5876 + 8.42215i) q^{39} +(0.736161 + 6.28157i) q^{40} -3.94514i q^{41} +(-6.27472 + 9.06253i) q^{42} +(6.25585 + 6.25585i) q^{43} +(-5.42939 + 1.37943i) q^{44} +(-12.6978 + 0.0667346i) q^{45} +(6.17900 - 0.772669i) q^{46} +(-0.811235 - 3.02757i) q^{47} +(8.11307 + 8.54617i) q^{48} +(6.41203 + 2.80819i) q^{49} +(5.62709 + 4.28204i) q^{50} +(-10.9243 - 6.30715i) q^{51} +(9.97692 - 5.58858i) q^{52} +(1.21368 - 4.52952i) q^{53} +(-8.89777 + 6.73610i) q^{54} +(-3.10300 + 5.44038i) q^{55} +(4.33947 - 6.09664i) q^{56} +(-3.15053 - 3.15053i) q^{57} +(-0.114658 + 0.829238i) q^{58} +(-6.07444 + 3.50708i) q^{59} +(13.1743 + 0.101974i) q^{60} +(1.19699 - 2.07326i) q^{61} +(4.85970 + 11.9514i) q^{62} +(11.1958 + 10.0193i) q^{63} +(-5.43207 - 5.87304i) q^{64} +(3.24413 - 12.3669i) q^{65} +(1.44794 + 11.5791i) q^{66} +(0.441215 + 0.118223i) q^{67} +(7.36019 + 4.37791i) q^{68} -12.9718i q^{69} +(-1.53950 - 8.22374i) q^{70} -3.13270 q^{71} +(12.9308 - 9.52753i) q^{72} +(-0.295972 + 1.10458i) q^{73} +(3.92178 - 0.490409i) q^{74} +(10.3055 - 10.5244i) q^{75} +(2.11090 + 2.16649i) q^{76} +(7.04089 - 2.31143i) q^{77} +(-8.97287 - 22.0669i) q^{78} +(3.04453 + 1.75776i) q^{79} +(-8.94235 - 0.185454i) q^{80} +(3.10571 + 5.37924i) q^{81} +(5.52668 + 0.764168i) q^{82} +(-8.33875 + 8.33875i) q^{83} +(-11.4802 - 10.5456i) q^{84} +(9.23521 - 2.52666i) q^{85} +(-9.97548 + 7.55198i) q^{86} +(1.68441 + 0.451336i) q^{87} +(-0.880763 - 7.87314i) q^{88} +(2.07046 - 3.58614i) q^{89} +(2.36605 - 17.8010i) q^{90} +(-12.6621 + 8.27774i) q^{91} +(-0.114444 + 8.80573i) q^{92} +(25.9598 - 6.95591i) q^{93} +(4.39842 - 0.550011i) q^{94} +(3.38182 - 0.0177736i) q^{95} +(-13.5437 + 9.71011i) q^{96} +(-6.82184 + 6.82184i) q^{97} +(-5.17595 + 8.43857i) q^{98} +15.9057 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.193699	+	1.40089i	−0.136966	+	0.990576i
$2$	−0.193699	+	1.40089i	−0.136966	+	0.990576i
$3$	2.84558	+	0.762471i	1.64290	+	0.440213i	0.957612	−	0.288063i	$-0.0930111\pi$
$3$	2.84558	+	0.762471i	1.64290	+	0.440213i	0.685285	+	0.728275i	$0.259678\pi$
$4$	−1.92496	−	0.542700i	−0.962481	−	0.271350i
$5$	−1.93059	+	1.12820i	−0.863386	+	0.504545i
$5$	−1.93059	+	1.12820i	−0.863386	+	0.504545i
$6$	−1.61932	+	3.83864i	−0.661084	+	1.56712i
$7$	2.58960	+	0.542205i	0.978776	+	0.204934i
$7$	2.58960	+	0.542205i	0.978776	+	0.204934i
$8$	1.13312	−	2.59153i	0.400619	−	0.916245i
$9$	4.91789	+	2.83934i	1.63930	+	0.946448i
$10$	−1.20652	−	2.92306i	−0.381535	−	0.924354i
$11$	2.42569	−	1.40047i	0.731372	−	0.422258i	−0.0875521	−	0.996160i	$-0.527904\pi$
$11$	2.42569	−	1.40047i	0.731372	−	0.422258i	0.818924	+	0.573902i	$0.194571\pi$
$12$	−5.06384	−	3.01202i	−1.46180	−	0.869496i
$13$	−4.04307	+	4.04307i	−1.12134	+	1.12134i	−0.129805	+	0.991539i	$0.541435\pi$
$13$	−4.04307	+	4.04307i	−1.12134	+	1.12134i	−0.991539	+	0.129805i	$0.958565\pi$
$14$	−1.26117	+	3.52271i	−0.337062	+	0.941483i
$15$	−6.35386	+	1.73835i	−1.64056	+	0.448841i
$16$	3.41095	+	2.08935i	0.852739	+	0.522338i
$17$	−4.13599	−	1.10824i	−1.00313	−	0.268787i	−0.280371	−	0.959892i	$-0.590458\pi$
$17$	−4.13599	−	1.10824i	−1.00313	−	0.268787i	−0.722754	+	0.691105i	$0.757124\pi$
$18$	−4.93018	+	6.33942i	−1.16206	+	1.49422i
$19$	−1.30979	−	0.756207i	−0.300486	−	0.173486i	0.342175	−	0.939636i	$-0.388836\pi$
$19$	−1.30979	−	0.756207i	−0.300486	−	0.173486i	−0.642661	+	0.766150i	$0.722170\pi$
$20$	4.32858	−	1.12400i	0.967900	−	0.251335i
$21$	6.95549	+	3.51738i	1.51781	+	0.767555i
$22$	1.49205	+	3.66938i	0.318105	+	0.782314i
$23$	−1.13964	−	4.25320i	−0.237632	−	0.886854i	−0.976945	−	0.213492i	$-0.931516\pi$
$23$	−1.13964	−	4.25320i	−0.237632	−	0.886854i	0.739313	−	0.673362i	$-0.235150\pi$
$24$	5.20036	−	6.51044i	1.06152	−	1.32894i
$25$	2.45435	−	4.35617i	0.490870	−	0.871233i
$26$	−4.88074	−	6.44701i	−0.957191	−	1.26436i
$27$	5.57999	+	5.57999i	1.07387	+	1.07387i
$28$	−4.69062	−	2.44910i	−0.886444	−	0.462836i
$29$	0.591939			0.109920			0.0549601	−	0.998489i	$-0.482497\pi$
$29$	0.591939			0.109920			0.0549601	+	0.998489i	$0.482497\pi$
$30$	−1.20450	−	9.23775i	−0.219911	−	1.68657i
$31$	7.90063	−	4.56143i	1.41899	−	0.819257i	0.422784	−	0.906231i	$-0.361053\pi$
$31$	7.90063	−	4.56143i	1.41899	−	0.819257i	0.996211	+	0.0869739i	$0.0277197\pi$
$32$	−3.58764	+	4.37365i	−0.634211	+	0.773160i
$33$	7.97030	−	2.13563i	1.38745	−	0.371766i
$34$	2.35365	−	5.57939i	0.403647	−	0.956857i
$35$	−5.61116	+	1.87480i	−0.948459	+	0.316899i
$36$	−7.92583	−	8.13456i	−1.32097	−	1.35576i
$37$	−0.723325	−	2.69949i	−0.118914	−	0.443793i	0.880636	−	0.473794i	$-0.157116\pi$
$37$	−0.723325	−	2.69949i	−0.118914	−	0.443793i	−0.999550	+	0.0300007i	$0.990449\pi$
$38$	1.31306	−	1.68839i	0.213007	−	0.273893i
$39$	−14.5876	+	8.42215i	−2.33588	+	1.34862i
$40$	0.736161	+	6.28157i	0.116397	+	0.993203i
$41$		−	3.94514i		−	0.616127i	−0.951366	−	0.308063i	$-0.900319\pi$
$41$		−	3.94514i		−	0.616127i	0.951366	−	0.308063i	$-0.0996809\pi$
$42$	−6.27472	+	9.06253i	−0.968210	+	1.39838i
$43$	6.25585	+	6.25585i	0.954008	+	0.954008i	0.998988	−	0.0449797i	$-0.0143223\pi$
$43$	6.25585	+	6.25585i	0.954008	+	0.954008i	−0.0449797	+	0.998988i	$0.514322\pi$
$44$	−5.42939	+	1.37943i	−0.818511	+	0.207957i
$45$	−12.6978	+	0.0667346i	−1.89287	+	0.00994821i
$46$	6.17900	−	0.772669i	0.911044	−	0.113924i
$47$	−0.811235	−	3.02757i	−0.118331	−	0.441617i	0.881184	−	0.472774i	$-0.156747\pi$
$47$	−0.811235	−	3.02757i	−0.118331	−	0.441617i	−0.999514	+	0.0311575i	$0.990081\pi$
$48$	8.11307	+	8.54617i	1.17102	+	1.23353i
$49$	6.41203	+	2.80819i	0.916004	+	0.401170i
$50$	5.62709	+	4.28204i	0.795790	+	0.605573i
$51$	−10.9243	−	6.30715i	−1.52971	−	0.883177i
$52$	9.97692	−	5.58858i	1.38355	−	0.774996i
$53$	1.21368	−	4.52952i	0.166712	−	0.622178i	−0.831104	−	0.556117i	$-0.812290\pi$
$53$	1.21368	−	4.52952i	0.166712	−	0.622178i	0.997816	−	0.0660600i	$-0.0210429\pi$
$54$	−8.89777	+	6.73610i	−1.21083	+	0.916667i
$55$	−3.10300	+	5.44038i	−0.418408	+	0.733581i
$56$	4.33947	−	6.09664i	0.579886	−	0.814697i
$57$	−3.15053	−	3.15053i	−0.417297	−	0.417297i
$58$	−0.114658	+	0.829238i	−0.0150553	+	0.108884i
$59$	−6.07444	+	3.50708i	−0.790824	+	0.456582i	−0.840253	−	0.542195i	$-0.817593\pi$
$59$	−6.07444	+	3.50708i	−0.790824	+	0.456582i	0.0494285	+	0.998778i	$0.484260\pi$
$60$	13.1743	+	0.101974i	1.70080	+	0.0131647i
$61$	1.19699	−	2.07326i	0.153260	−	0.265453i	−0.779164	−	0.626820i	$-0.784356\pi$
$61$	1.19699	−	2.07326i	0.153260	−	0.265453i	0.932424	+	0.361366i	$0.117690\pi$
$62$	4.85970	+	11.9514i	0.617182	+	1.51783i
$63$	11.1958	+	10.0193i	1.41054	+	1.26231i
$64$	−5.43207	−	5.87304i	−0.679008	−	0.734131i
$65$	3.24413	−	12.3669i	0.402385	−	1.53392i
$66$	1.44794	+	11.5791i	0.178230	+	1.42529i
$67$	0.441215	+	0.118223i	0.0539029	+	0.0144432i	0.285670	−	0.958328i	$-0.407784\pi$
$67$	0.441215	+	0.118223i	0.0539029	+	0.0144432i	−0.231767	+	0.972771i	$0.574451\pi$
$68$	7.36019	+	4.37791i	0.892554	+	0.530900i
$69$		−	12.9718i		−	1.56162i
$70$	−1.53950	−	8.22374i	−0.184006	−	0.982925i
$71$	−3.13270			−0.371783			−0.185892	−	0.982570i	$-0.559517\pi$
$71$	−3.13270			−0.371783			−0.185892	+	0.982570i	$0.559517\pi$
$72$	12.9308	−	9.52753i	1.52391	−	1.12283i
$73$	−0.295972	+	1.10458i	−0.0346409	+	0.129282i	−0.981081	−	0.193598i	$-0.937984\pi$
$73$	−0.295972	+	1.10458i	−0.0346409	+	0.129282i	0.946440	+	0.322880i	$0.104651\pi$
$74$	3.92178	−	0.490409i	0.455898	−	0.0570089i
$75$	10.3055	−	10.5244i	1.18998	−	1.21526i
$76$	2.11090	+	2.16649i	0.242137	+	0.248514i
$77$	7.04089	−	2.31143i	0.802384	−	0.263412i
$78$	−8.97287	−	22.0669i	−1.01598	−	2.49858i
$79$	3.04453	+	1.75776i	0.342537	+	0.197764i	0.661393	−	0.750039i	$-0.269965\pi$
$79$	3.04453	+	1.75776i	0.342537	+	0.197764i	−0.318856	+	0.947803i	$0.603299\pi$
$80$	−8.94235	−	0.185454i	−0.999785	−	0.0207344i
$81$	3.10571	+	5.37924i	0.345078	+	0.597693i
$82$	5.52668	+	0.764168i	0.610320	+	0.0843882i
$83$	−8.33875	+	8.33875i	−0.915297	+	0.915297i	−0.996683	−	0.0813861i	$-0.974065\pi$
$83$	−8.33875	+	8.33875i	−0.915297	+	0.915297i	0.0813861	+	0.996683i	$0.474065\pi$
$84$	−11.4802	−	10.5456i	−1.25259	−	1.15062i
$85$	9.23521	−	2.52666i	1.00170	−	0.274055i
$86$	−9.97548	+	7.55198i	−1.07568	+	0.814351i
$87$	1.68441	+	0.451336i	0.180588	+	0.0483883i
$88$	−0.880763	−	7.87314i	−0.0938896	−	0.839280i
$89$	2.07046	−	3.58614i	0.219468	−	0.380130i	−0.735177	−	0.677875i	$-0.762901\pi$
$89$	2.07046	−	3.58614i	0.219468	−	0.380130i	0.954645	+	0.297745i	$0.0962345\pi$
$90$	2.36605	−	17.8010i	0.249404	−	1.87639i
$91$	−12.6621	+	8.27774i	−1.32735	+	0.867743i
$92$	−0.114444	+	8.80573i	−0.0119316	+	0.918061i
$93$	25.9598	−	6.95591i	2.69191	−	0.721294i
$94$	4.39842	−	0.550011i	0.453662	−	0.0567293i
$95$	3.38182	−	0.0177736i	0.346967	−	0.00182353i
$96$	−13.5437	+	9.71011i	−1.38230	+	0.991034i
$97$	−6.82184	+	6.82184i	−0.692653	+	0.692653i	−0.962815	−	0.270162i	$-0.912923\pi$
$97$	−6.82184	+	6.82184i	−0.692653	+	0.692653i	0.270162	+	0.962815i	$0.412923\pi$
$98$	−5.17595	+	8.43857i	−0.522850	+	0.852425i
$99$	15.9057			1.59858
$100$	−7.08861	+	7.05348i	−0.708861	+	0.705348i
$101$	−3.92144	−	6.79212i	−0.390197	−	0.675842i	0.602278	−	0.798286i	$-0.294260\pi$
$101$	−3.92144	−	6.79212i	−0.390197	−	0.675842i	−0.992475	+	0.122445i	$0.960927\pi$
$102$	10.9516	−	14.0820i	1.08437	−	1.39433i
$103$	−6.37962	+	1.70941i	−0.628602	+	0.168433i	−0.559035	−	0.829144i	$-0.688828\pi$
$103$	−6.37962	+	1.70941i	−0.628602	+	0.168433i	−0.0695668	+	0.997577i	$0.522162\pi$
$104$	5.89644	+	15.0590i	0.578194	+	1.47666i
$105$	−17.3965	+	1.05654i	−1.69772	+	0.103108i
$106$	6.11025	+	2.57759i	0.593480	+	0.250358i
$107$	−3.68173	−	13.7404i	−0.355927	−	1.32834i	−0.879314	−	0.476242i	$-0.841999\pi$
$107$	−3.68173	−	13.7404i	−0.355927	−	1.32834i	0.523388	−	0.852095i	$-0.324668\pi$
$108$	−7.71301	−	13.7695i	−0.742185	−	1.32497i
$109$	−0.296219	−	0.513067i	−0.0283727	−	0.0491429i	0.851490	−	0.524370i	$-0.175699\pi$
$109$	−0.296219	−	0.513067i	−0.0283727	−	0.0491429i	−0.879863	+	0.475227i	$0.842366\pi$
$110$	−7.02030	−	5.40074i	−0.669360	−	0.514940i
$111$		−	8.23312i		−	0.781453i
$112$	7.70014	+	7.26002i	0.727595	+	0.686007i
$113$	−1.27145	+	1.27145i	−0.119608	+	0.119608i	−0.764377	−	0.644769i	$-0.776954\pi$
$113$	−1.27145	+	1.27145i	−0.119608	+	0.119608i	0.644769	+	0.764377i	$0.276954\pi$
$114$	5.02378	−	3.80327i	0.470520	−	0.356209i
$115$	6.99863	+	6.92545i	0.652625	+	0.645801i
$116$	−1.13946	−	0.321245i	−0.105796	−	0.0298268i
$117$	−31.3630	+	8.40369i	−2.89951	+	0.776921i
$118$	−3.73640	−	9.18891i	−0.343964	−	0.845907i
$119$	−10.1097	−	5.11244i	−0.926751	−	0.468657i
$120$	−2.69471	+	18.4360i	−0.245992	+	1.68297i
$121$	−1.57737	+	2.73208i	−0.143397	+	0.248371i
$122$	2.67254	+	2.07844i	0.241960	+	0.188173i
$123$	3.00805	−	11.2262i	0.271227	−	1.01223i
$124$	−17.6839	+	4.49291i	−1.58806	+	0.403475i
$125$	0.176270	+	11.1790i	0.0157661	+	0.999876i
$126$	−16.2045	+	13.7434i	−1.44361	+	1.22436i
$127$	5.30772	+	5.30772i	0.470984	+	0.470984i	0.902233	−	0.431249i	$-0.141927\pi$
$127$	5.30772	+	5.30772i	0.470984	+	0.470984i	−0.431249	+	0.902233i	$0.641927\pi$
$128$	9.27965	−	6.47210i	0.820213	−	0.572058i
$129$	13.0316	+	22.5714i	1.14737	+	1.98730i
$130$	16.6962	+	6.94010i	1.46435	+	0.608687i
$131$	−0.0161620	+	0.0279933i	−0.00141208	+	0.00244579i	−0.866731	−	0.498777i	$-0.833783\pi$
$131$	−0.0161620	+	0.0279933i	−0.00141208	+	0.00244579i	0.865319	+	0.501222i	$0.167116\pi$
$132$	−16.5015	−	0.214462i	−1.43627	−	0.0186665i
$133$	−2.98181	−	2.66845i	−0.258556	−	0.231384i
$134$	−0.251080	+	0.595192i	−0.0216900	+	0.0514167i
$135$	−17.0680	−	4.47735i	−1.46898	−	0.385349i
$136$	−7.55861	+	9.46279i	−0.648146	+	0.811427i
$137$	−2.94578	+	10.9938i	−0.251675	+	0.939263i	0.718235	+	0.695800i	$0.244950\pi$
$137$	−2.94578	+	10.9938i	−0.251675	+	0.939263i	−0.969910	+	0.243463i	$0.921717\pi$
$138$	18.1720	+	2.51262i	1.54690	+	0.213888i
$139$		−	8.50438i		−	0.721332i	−0.932695	−	0.360666i	$-0.882549\pi$
$139$		−	8.50438i		−	0.721332i	0.932695	−	0.360666i	$-0.117451\pi$
$140$	11.8187	−	0.563738i	0.998864	−	0.0476446i
$141$		−	9.23374i		−	0.777621i
$142$	0.606800	−	4.38856i	0.0509215	−	0.368279i
$143$	−4.14501	+	15.4694i	−0.346623	+	1.29362i
$144$	10.8423	+	19.9601i	0.903525	+	1.66334i
$145$	−1.14279	+	0.667823i	−0.0949036	+	0.0554597i
$146$	−1.49006	−	0.628579i	−0.123319	−	0.0520216i
$147$	16.1048	+	12.8799i	1.32830	+	1.06232i
$148$	−0.0726367	+	5.58896i	−0.00597070	+	0.459409i
$149$	−5.25658	+	9.10466i	−0.430636	+	0.745883i	−0.996928	−	0.0783215i	$-0.975044\pi$
$149$	−5.25658	+	9.10466i	−0.430636	+	0.745883i	0.566292	+	0.824204i	$0.308377\pi$
$150$	12.7474	+	16.4754i	1.04082	+	1.34521i
$151$	0.0822633	+	0.142484i	0.00669449	+	0.0115952i	0.869353	−	0.494191i	$-0.164536\pi$
$151$	0.0822633	+	0.142484i	0.00669449	+	0.0115952i	−0.862659	+	0.505786i	$0.831202\pi$
$152$	−3.44389	+	2.53749i	−0.279336	+	0.205817i
$153$	−17.1937	−	17.1937i	−1.39003	−	1.39003i
$154$	1.87424	+	10.3112i	0.151031	+	0.830900i
$155$	−10.1067	+	17.7197i	−0.811788	+	1.42328i
$156$	32.6512	−	8.29563i	2.61419	−	0.664182i
$157$	1.15905	−	4.32562i	0.0925019	−	0.345222i	−0.904127	−	0.427264i	$-0.859478\pi$
$157$	1.15905	−	4.32562i	0.0925019	−	0.345222i	0.996629	+	0.0820420i	$0.0261442\pi$
$158$	−3.05215	+	3.92457i	−0.242816	+	0.312222i
$159$	6.90725	−	11.9637i	0.547781	−	0.948784i
$160$	1.99192	−	12.4913i	0.157475	−	0.987523i
$161$	−0.645105	−	11.6320i	−0.0508414	−	0.916730i
$162$	−8.13727	+	3.30879i	−0.639325	+	0.259963i
$163$	−9.95293	+	2.66688i	−0.779574	+	0.208886i	−0.626597	−	0.779344i	$-0.715553\pi$
$163$	−9.95293	+	2.66688i	−0.779574	+	0.208886i	−0.152977	+	0.988230i	$0.548886\pi$
$164$	−2.14102	+	7.59423i	−0.167186	+	0.593010i
$165$	−12.9780	+	13.1151i	−1.01033	+	1.02101i
$166$	−10.0664	−	13.2968i	−0.781306	−	1.03203i
$167$	−4.15230	+	4.15230i	−0.321315	+	0.321315i	−0.849271	−	0.527957i	$-0.822958\pi$
$167$	−4.15230	+	4.15230i	−0.321315	+	0.321315i	0.527957	+	0.849271i	$0.322958\pi$
$168$	16.9968	−	14.0397i	1.31133	−	1.08319i
$169$		−	19.6928i		−	1.51483i
$170$	1.75072	+	13.4269i	0.134274	+	1.02980i
$171$	−4.29426	−	7.43788i	−0.328391	−	0.568789i
$172$	−8.64722	−	15.4373i	−0.659345	−	1.17708i
$173$	2.95142	+	11.0149i	0.224393	+	0.837444i	0.982647	+	0.185486i	$0.0593858\pi$
$173$	2.95142	+	11.0149i	0.224393	+	0.837444i	−0.758254	+	0.651959i	$0.773948\pi$
$174$	−0.958538	+	2.27224i	−0.0726666	+	0.172258i
$175$	8.71771	−	9.94995i	0.658997	−	0.752146i
$176$	11.2000	+	0.291170i	0.844230	+	0.0219477i
$177$	−19.9593	+	5.34809i	−1.50024	+	0.401987i
$178$	4.62273	+	3.59511i	0.346488	+	0.269465i
$179$	−6.65255	−	11.5225i	−0.497235	−	0.861236i	0.502760	−	0.864426i	$-0.332318\pi$
$179$	−6.65255	−	11.5225i	−0.497235	−	0.861236i	−0.999995	+	0.00319028i	$0.998984\pi$
$180$	24.4789	+	6.76260i	1.82455	+	0.504055i
$181$	−18.1805			−1.35135			−0.675674	−	0.737201i	$-0.736147\pi$
$181$	−18.1805			−1.35135			−0.675674	+	0.737201i	$0.736147\pi$
$182$	−9.14354	−	19.3415i	−0.677764	−	1.43369i
$183$	4.98694	−	4.98694i	0.368645	−	0.368645i
$184$	−12.3137	−	1.86598i	−0.907775	−	0.137562i
$185$	4.44199	+	4.39555i	0.326582	+	0.323167i
$186$	4.71605	+	37.7141i	0.345798	+	2.76533i
$187$	−11.5847	+	3.10410i	−0.847155	+	0.226994i
$188$	−0.0814647	+	6.26821i	−0.00594142	+	0.457157i
$189$	11.4244	+	17.4754i	0.831005	+	1.27115i
$190$	−0.630155	+	4.74098i	−0.0457162	+	0.343947i
$191$	−2.30699	+	3.99583i	−0.166928	+	0.289128i	−0.937338	−	0.348420i	$-0.886718\pi$
$191$	−2.30699	+	3.99583i	−0.166928	+	0.289128i	0.770410	+	0.637549i	$0.220052\pi$
$192$	−10.9794	−	20.8540i	−0.792367	−	1.50501i
$193$	7.53784	+	2.01976i	0.542586	+	0.145385i	0.519694	−	0.854353i	$-0.326046\pi$
$193$	7.53784	+	2.01976i	0.542586	+	0.145385i	0.0228917	+	0.999738i	$0.492713\pi$
$194$	−8.23524	−	10.8780i	−0.591256	−	0.780995i
$195$	18.6608	−	32.7174i	1.33633	−	2.34294i
$196$	−10.8189	−	8.88546i	−0.772779	−	0.634675i
$197$	2.18484	−	2.18484i	0.155663	−	0.155663i	−0.624979	−	0.780642i	$-0.714892\pi$
$197$	2.18484	−	2.18484i	0.155663	−	0.155663i	0.780642	+	0.624979i	$0.214892\pi$
$198$	−3.08091	+	22.2820i	−0.218950	+	1.58351i
$199$	−5.63575	−	9.76141i	−0.399508	−	0.691968i	0.594157	−	0.804349i	$-0.297486\pi$
$199$	−5.63575	−	9.76141i	−0.399508	−	0.691968i	−0.993665	+	0.112381i	$0.964152\pi$
$200$	−8.50806	−	11.2966i	−0.601611	−	0.798789i
$201$	1.16537	+	0.672826i	0.0821988	+	0.0474575i
$202$	10.2746	−	4.17786i	0.722916	−	0.293953i
$203$	1.53288	+	0.320952i	0.107587	+	0.0225264i
$204$	17.6060	+	18.0696i	1.23266	+	1.26513i
$205$	4.45089	+	7.61643i	0.310863	+	0.531955i
$206$	−1.15897	−	9.26822i	−0.0807492	−	0.645748i
$207$	6.47167	−	24.1526i	0.449812	−	1.67872i
$208$	−22.2381	+	5.34333i	−1.54194	+	0.370493i
$209$	−4.23618			−0.293023
$210$	1.88959	−	24.5751i	0.130394	−	1.69585i
$211$		−	19.7212i		−	1.35766i	−0.734295	−	0.678830i	$-0.762487\pi$
$211$		−	19.7212i		−	1.35766i	0.734295	−	0.678830i	$-0.237513\pi$
$212$	−4.79446	+	8.06049i	−0.329285	+	0.553597i
$213$	−8.91435	−	2.38859i	−0.610801	−	0.163664i
$214$	19.9619	−	2.49619i	1.36457	−	0.170636i
$215$	−19.1353	−	5.01965i	−1.30502	−	0.342337i
$216$	20.7835	−	8.13791i	1.41414	−	0.553715i
$217$	22.9327	−	7.52850i	1.55677	−	0.511068i
$218$	0.776125	−	0.315589i	0.0525659	−	0.0213744i
$219$	−1.68442	+	2.91751i	−0.113823	+	0.197147i
$220$	8.92564	−	8.78853i	0.601767	−	0.592522i
$221$	21.2028	−	12.2414i	1.42625	−	0.823447i
$222$	11.5337	+	1.59474i	0.774088	+	0.107032i
$223$	17.0624	+	17.0624i	1.14258	+	1.14258i	0.987977	+	0.154603i	$0.0494098\pi$
$223$	17.0624	+	17.0624i	1.14258	+	1.14258i	0.154603	+	0.987977i	$0.450590\pi$
$224$	−11.6620	+	9.38076i	−0.779198	+	0.626778i
$225$	24.4388	−	14.4544i	1.62926	−	0.963626i
$226$	−1.53488	−	2.02744i	−0.102099	−	0.134863i
$227$	−6.69012	+	24.9679i	−0.444039	+	1.65717i	0.274424	+	0.961609i	$0.411513\pi$
$227$	−6.69012	+	24.9679i	−0.444039	+	1.65717i	−0.718462	+	0.695566i	$0.755154\pi$
$228$	4.35485	+	7.77443i	0.288407	+	0.514874i
$229$	20.6133	+	11.9011i	1.36216	+	0.786446i	0.989912	−	0.141685i	$-0.0452521\pi$
$229$	20.6133	+	11.9011i	1.36216	+	0.786446i	0.372253	+	0.928131i	$0.378585\pi$
$230$	−11.0574	+	8.46283i	−0.729102	+	0.558022i
$231$	21.7978	−	1.20890i	1.43419	−	0.0795395i
$232$	0.670739	−	1.53403i	0.0440362	−	0.100714i
$233$	5.89044	+	21.9834i	0.385896	+	1.44018i	0.836750	+	0.547585i	$0.184453\pi$
$233$	5.89044	+	21.9834i	0.385896	+	1.44018i	−0.450855	+	0.892597i	$0.648881\pi$
$234$	−5.69764	−	45.5638i	−0.372466	−	2.97860i
$235$	4.98185	+	4.92976i	0.324980	+	0.321582i
$236$	13.5963	−	3.45440i	0.885047	−	0.224862i
$237$	7.32322	+	7.32322i	0.475694	+	0.475694i
$238$	9.12018	−	13.1722i	0.591173	−	0.853828i
$239$			12.8502i			0.831207i	0.909546	+	0.415604i	$0.136430\pi$
$239$			12.8502i			0.831207i	−0.909546	+	0.415604i	$0.863570\pi$
$240$	−25.3048	−	7.34600i	−1.63342	−	0.474183i
$241$	−23.9196	+	13.8100i	−1.54080	+	0.889579i	−0.542007	+	0.840374i	$0.682335\pi$
$241$	−23.9196	+	13.8100i	−1.54080	+	0.889579i	−0.998789	+	0.0492046i	$0.984331\pi$
$242$	−3.52180	−	2.73891i	−0.226390	−	0.176064i
$243$	−1.39124	−	5.19217i	−0.0892480	−	0.333078i
$244$	−3.42932	+	3.34133i	−0.219540	+	0.213907i
$245$	−15.5472	+	1.81257i	−0.993272	+	0.115801i
$246$	15.1440	+	6.38843i	0.965544	+	0.407312i
$247$	8.35296	−	2.23817i	0.531486	−	0.142411i
$248$	−2.86871	−	25.6434i	−0.182163	−	1.62836i
$249$	−30.0866	+	17.3705i	−1.90666	+	1.10081i
$250$	−15.6946	−	1.91841i	−0.992612	−	0.121331i
$251$	16.0763			1.01473			0.507365	−	0.861732i	$-0.330620\pi$
$251$	16.0763			1.01473			0.507365	+	0.861732i	$0.330620\pi$
$252$	−16.1141	−	25.3627i	−1.01509	−	1.59770i
$253$	−8.72090	−	8.72090i	−0.548278	−	0.548278i
$254$	−8.46361	+	6.40741i	−0.531054	+	0.402037i
$255$	28.2060	−	0.148240i	1.76633	−	0.00928317i
$256$	7.26922	+	14.2534i	0.454326	+	0.890835i
$257$	3.39534	+	12.6716i	0.211795	+	0.790431i	0.987270	+	0.159053i	$0.0508440\pi$
$257$	3.39534	+	12.6716i	0.211795	+	0.790431i	−0.775475	+	0.631379i	$0.782489\pi$
$258$	−34.1442	+	13.8838i	−2.12572	+	0.864365i
$259$	−0.409445	−	7.38277i	−0.0254417	−	0.458743i
$260$	−12.9563	+	22.0452i	−0.803517	+	1.36718i
$261$	2.91109	+	1.68072i	0.180192	+	0.104034i
$262$	−0.0360849	−	0.0280633i	−0.00222933	−	0.00173376i
$263$	−22.7808	−	6.10410i	−1.40473	−	0.376395i	−0.524686	−	0.851296i	$-0.675817\pi$
$263$	−22.7808	−	6.10410i	−1.40473	−	0.376395i	−0.880039	+	0.474901i	$0.842484\pi$
$264$	3.49676	−	23.0752i	0.215211	−	1.42018i
$265$	2.76707	+	10.1139i	0.169980	+	0.621293i
$266$	4.31576	−	3.66030i	0.264616	−	0.224427i
$267$	8.62598	−	8.62598i	0.527901	−	0.527901i
$268$	−0.785161	−	0.467022i	−0.0479614	−	0.0285279i
$269$	17.3050	−	9.99102i	1.05510	−	0.609163i	0.131028	−	0.991379i	$-0.458172\pi$
$269$	17.3050	−	9.99102i	1.05510	−	0.609163i	0.924073	+	0.382215i	$0.124839\pi$
$270$	9.57830	−	23.0431i	0.582917	−	1.40236i
$271$	17.2130	+	9.93791i	1.04561	+	0.603685i	0.921418	−	0.388573i	$-0.127032\pi$
$271$	17.2130	+	9.93791i	1.04561	+	0.603685i	0.124195	+	0.992258i	$0.460365\pi$
$272$	−11.7922	−	12.4217i	−0.715006	−	0.753175i
$273$	−42.3425	+	13.9005i	−2.56269	+	0.841297i
$274$	−14.8305	−	6.25618i	−0.895940	−	0.377950i
$275$	−0.147203	−	14.0039i	−0.00887667	−	0.844469i
$276$	−7.03977	+	24.9702i	−0.423745	+	1.50303i
$277$	−10.8995	−	2.92051i	−0.654888	−	0.175477i	−0.0839499	−	0.996470i	$-0.526754\pi$
$277$	−10.8995	−	2.92051i	−0.654888	−	0.175477i	−0.570938	+	0.820993i	$0.693420\pi$
$278$	11.9137	+	1.64729i	0.714534	+	0.0987977i
$279$	51.8058			3.10153
$280$	−1.49954	+	16.6659i	−0.0896146	+	0.995977i
$281$	32.2000			1.92089			0.960446	−	0.278467i	$-0.0898262\pi$
$281$	32.2000			1.92089			0.960446	+	0.278467i	$0.0898262\pi$
$282$	12.9354	+	1.78856i	0.770292	+	0.106507i
$283$	−6.97849	−	1.86988i	−0.414828	−	0.111153i	0.0453677	−	0.998970i	$-0.485554\pi$
$283$	−6.97849	−	1.86988i	−0.414828	−	0.111153i	−0.460196	+	0.887818i	$0.652221\pi$
$284$	6.03033	+	1.70012i	0.357834	+	0.100883i
$285$	9.63678	+	2.52796i	0.570833	+	0.149743i
$286$	−20.8680	−	8.80309i	−1.23395	−	0.520538i
$287$	2.13907	−	10.2163i	0.126265	−	0.603050i
$288$	−30.0619	+	11.3226i	−1.77141	+	0.667190i
$289$	1.15582	+	0.667311i	0.0679892	+	0.0392536i
$290$	−0.714186	−	1.73027i	−0.0419385	−	0.101605i
$291$	−24.6136	+	14.2106i	−1.44287	+	0.833043i
$292$	1.16919	−	1.96566i	0.0684217	−	0.115031i
$293$	5.89623	−	5.89623i	0.344462	−	0.344462i	−0.513580	−	0.858042i	$-0.671681\pi$
$293$	5.89623	−	5.89623i	0.344462	−	0.344462i	0.858042	+	0.513580i	$0.171681\pi$
$294$	−21.1627	+	20.0661i	−1.23424	+	1.17028i
$295$	7.77057	−	13.6239i	0.452420	−	0.793213i
$296$	−7.81542	−	1.18433i	−0.454262	−	0.0688377i
$297$	21.3499	+	5.72069i	1.23885	+	0.331948i
$298$	−11.7364	−	9.12743i	−0.679871	−	0.528738i
$299$	21.8036	+	12.5883i	1.26094	+	0.728002i
$300$	−25.5493	+	14.6664i	−1.47509	+	0.846763i
$301$	12.8082	+	19.5921i	0.738251	+	1.12927i
$302$	−0.215538	+	0.0876425i	−0.0124028	+	0.00504326i
$303$	−5.97996	−	22.3175i	−0.343540	−	1.28211i
$304$	−2.88765	−	5.31600i	−0.165618	−	0.304894i
$305$	0.0281336	+	5.35305i	0.00161093	+	0.306515i
$306$	27.4168	−	20.7560i	1.56731	−	1.18654i
$307$	8.02311	+	8.02311i	0.457903	+	0.457903i	0.897967	−	0.440063i	$-0.145044\pi$
$307$	8.02311	+	8.02311i	0.457903	+	0.457903i	−0.440063	+	0.897967i	$0.645044\pi$
$308$	−14.8079	+	0.628334i	−0.843756	+	0.0358026i
$309$	−19.4571			−1.10687
$310$	−22.8656	−	17.5906i	−1.29868	−	0.999078i
$311$	−17.6043	+	10.1639i	−0.998249	+	0.576339i	−0.907730	−	0.419555i	$-0.862186\pi$
$311$	−17.6043	+	10.1639i	−0.998249	+	0.576339i	−0.0905193	+	0.995895i	$0.528853\pi$
$312$	5.29673	+	47.3475i	0.299868	+	2.68053i
$313$	−17.5028	+	4.68987i	−0.989319	+	0.265087i	−0.716964	−	0.697110i	$-0.754469\pi$
$313$	−17.5028	+	4.68987i	−0.989319	+	0.265087i	−0.272354	+	0.962197i	$0.587802\pi$
$314$	5.83519	+	2.46156i	0.329299	+	0.138914i
$315$	−32.9182	−	6.71197i	−1.85473	−	0.378177i
$316$	−4.90668	−	5.03589i	−0.276022	−	0.283291i
$317$	−3.86020	−	14.4065i	−0.216811	−	0.809148i	−0.985521	−	0.169551i	$-0.945768\pi$
$317$	−3.86020	−	14.4065i	−0.216811	−	0.809148i	0.768711	−	0.639597i	$-0.220899\pi$
$318$	15.4219	+	11.9936i	0.864816	+	0.672569i
$319$	1.43586	−	0.828992i	0.0803925	−	0.0464147i
$320$	17.1130	+	5.21000i	0.956648	+	0.291248i
$321$		−	41.9067i		−	2.33900i
$322$	16.4201	+	1.34939i	0.915054	+	0.0751983i
$323$	4.57922	+	4.57922i	0.254795	+	0.254795i
$324$	−3.05905	−	12.0403i	−0.169947	−	0.668905i
$325$	7.68917	+	27.5354i	0.426519	+	1.52739i
$326$	−1.80812	−	14.4595i	−0.100143	−	0.800837i
$327$	−0.451717	−	1.68583i	−0.0249800	−	0.0932267i
$328$	−10.2239	−	4.47032i	−0.564523	−	0.246832i
$329$	−0.459207	−	8.28004i	−0.0253169	−	0.456494i
$330$	−15.8589	−	20.7210i	−0.873005	−	1.14065i
$331$	8.02996	+	4.63610i	0.441367	+	0.254823i	0.704177	−	0.710024i	$-0.251316\pi$
$331$	8.02996	+	4.63610i	0.441367	+	0.254823i	−0.262810	+	0.964847i	$0.584649\pi$
$332$	20.5772	−	11.5263i	1.12932	−	0.632590i
$333$	4.10754	−	15.3295i	0.225092	−	0.840053i
$334$	−5.01260	−	6.62120i	−0.274278	−	0.362296i
$335$	−0.985183	+	0.269536i	−0.0538263	+	0.0147263i
$336$	16.3758	+	26.5301i	0.893374	+	1.44733i
$337$	−11.0923	−	11.0923i	−0.604234	−	0.604234i	0.337199	−	0.941433i	$-0.390520\pi$
$337$	−11.0923	−	11.0923i	−0.604234	−	0.604234i	−0.941433	+	0.337199i	$0.890520\pi$
$338$	27.5873	+	3.81447i	1.50055	+	0.207480i
$339$	−4.58747	+	2.64858i	−0.249157	+	0.143851i
$340$	−19.1486	−	0.148217i	−1.03848	−	0.00803818i
$341$	12.7763	−	22.1292i	0.691875	−	1.19836i
$342$	11.2514	−	4.57507i	0.608407	−	0.247391i
$343$	15.0820	+	10.7487i	0.814349	+	0.580376i
$344$	23.3009	−	9.12359i	1.25630	−	0.491911i
$345$	14.6347	+	25.0432i	0.787906	+	1.34828i
$346$	−16.0022	+	2.00104i	−0.860286	+	0.107577i
$347$	12.0663	+	3.23316i	0.647755	+	0.173565i	0.567714	−	0.823226i	$-0.307828\pi$
$347$	12.0663	+	3.23316i	0.647755	+	0.173565i	0.0800412	+	0.996792i	$0.474495\pi$
$348$	−2.99748	−	1.78293i	−0.160682	−	0.0955752i
$349$			16.1039i			0.862023i	0.902346	+	0.431011i	$0.141843\pi$
$349$			16.1039i			0.862023i	−0.902346	+	0.431011i	$0.858157\pi$
$350$	12.2501	+	14.1398i	0.654797	+	0.755804i
$351$	−45.1206			−2.40836
$352$	−2.57732	+	15.6335i	−0.137371	+	0.833268i
$353$	8.72848	−	32.5751i	0.464570	−	1.73380i	−0.193741	−	0.981053i	$-0.562062\pi$
$353$	8.72848	−	32.5751i	0.464570	−	1.73380i	0.658311	−	0.752746i	$-0.271271\pi$
$354$	−3.62596	−	28.9967i	−0.192718	−	1.54116i
$355$	6.04796	−	3.53430i	0.320992	−	0.187581i
$356$	−5.93175	+	5.77954i	−0.314382	+	0.306315i
$357$	−24.8698	−	22.2562i	−1.31625	−	1.17792i
$358$	17.4304	−	7.08755i	0.921223	−	0.374589i
$359$	9.30759	+	5.37374i	0.491236	+	0.283615i	0.725087	−	0.688657i	$-0.241800\pi$
$359$	9.30759	+	5.37374i	0.491236	+	0.283615i	−0.233851	+	0.972272i	$0.575133\pi$
$360$	−14.2152	+	32.9822i	−0.749205	+	1.73832i
$361$	−8.35630	−	14.4735i	−0.439805	−	0.761765i
$362$	3.52154	−	25.4688i	0.185088	−	1.33861i
$363$	−6.57166	+	6.57166i	−0.344922	+	0.344922i
$364$	28.8664	−	9.06263i	1.51301	−	0.475011i
$365$	−0.674785	−	2.46641i	−0.0353199	−	0.129098i
$366$	6.02017	+	7.95210i	0.314679	+	0.415663i
$367$	−8.64541	−	2.31653i	−0.451287	−	0.120922i	0.0260148	−	0.999662i	$-0.491718\pi$
$367$	−8.64541	−	2.31653i	−0.451287	−	0.120922i	−0.477301	+	0.878740i	$0.658385\pi$
$368$	4.99917	−	16.8886i	0.260600	−	0.880379i
$369$	11.2016	−	19.4017i	0.583132	−	1.01001i
$370$	−7.01807	+	5.37131i	−0.364852	+	0.279241i
$371$	5.59888	−	11.0716i	0.290679	−	0.574807i
$372$	−53.7466	−	0.698517i	−2.78663	−	0.0362164i
$373$	15.3952	−	4.12513i	0.797134	−	0.213591i	0.162809	−	0.986658i	$-0.447945\pi$
$373$	15.3952	−	4.12513i	0.797134	−	0.213591i	0.634325	+	0.773066i	$0.281278\pi$
$374$	−2.10456	−	16.8301i	−0.108824	−	0.870261i
$375$	−8.02203	+	31.9450i	−0.414256	+	1.64963i
$376$	−8.76527	−	1.32827i	−0.452034	−	0.0685002i
$377$	−2.39325	+	2.39325i	−0.123259	+	0.123259i
$378$	−26.6940	+	12.6194i	−1.37299	+	0.649070i
$379$	−22.5064			−1.15608			−0.578038	−	0.816010i	$-0.696182\pi$
$379$	−22.5064			−1.15608			−0.578038	+	0.816010i	$0.696182\pi$
$380$	−6.51951	−	1.80110i	−0.334444	−	0.0923943i
$381$	11.0566	+	19.1505i	0.566445	+	0.981112i
$382$	−5.15084	−	4.00582i	−0.263540	−	0.204956i
$383$	0.606916	−	0.162623i	0.0310120	−	0.00830963i	−0.243280	−	0.969956i	$-0.578223\pi$
$383$	0.606916	−	0.162623i	0.0310120	−	0.00830963i	0.274292	+	0.961647i	$0.411557\pi$
$384$	31.3408	−	11.3414i	1.59935	−	0.578765i
$385$	−10.9853	+	12.4059i	−0.559863	+	0.632265i
$386$	−4.28952	+	10.1684i	−0.218331	+	0.517559i
$387$	13.0031	+	48.5281i	0.660982	+	2.46682i
$388$	16.8340	−	9.42958i	0.854617	−	0.478714i
$389$	−19.6157	−	33.9754i	−0.994555	−	1.72262i	−0.587529	−	0.809203i	$-0.699899\pi$
$389$	−19.6157	−	33.9754i	−0.994555	−	1.72262i	−0.407026	−	0.913417i	$-0.633434\pi$
$390$	42.2187	+	32.4790i	2.13783	+	1.64464i
$391$			18.8542i			0.953498i
$392$	14.5431	−	13.4349i	0.734538	−	0.678567i
$393$	−0.0673343	+	0.0673343i	−0.00339656	+	0.00339656i
$394$	2.63751	+	3.48391i	0.132876	+	0.175517i
$395$	−7.86085	+	0.0413137i	−0.395522	+	0.00207872i
$396$	−30.6178	−	8.63199i	−1.53860	−	0.433774i
$397$	30.3487	−	8.13191i	1.52316	−	0.408129i	0.602378	−	0.798211i	$-0.294220\pi$
$397$	30.3487	−	8.13191i	1.52316	−	0.408129i	0.920780	+	0.390082i	$0.127553\pi$
$398$	14.7663	−	6.00427i	0.740166	−	0.300967i
$399$	−6.45036	−	9.86682i	−0.322922	−	0.493959i
$400$	17.4732	−	9.73069i	0.873661	−	0.486534i
$401$	7.79021	−	13.4930i	0.389025	−	0.673810i	−0.603294	−	0.797519i	$-0.706145\pi$
$401$	7.79021	−	13.4930i	0.389025	−	0.673810i	0.992319	+	0.123709i	$0.0394788\pi$
$402$	−1.16828	+	1.50222i	−0.0582687	+	0.0749241i
$403$	−13.5006	+	50.3849i	−0.672513	+	2.50985i
$404$	3.86253	+	15.2027i	0.192168	+	0.756365i
$405$	−12.0647	−	6.88126i	−0.599499	−	0.341932i
$406$	−0.746535	+	2.08523i	−0.0370499	+	0.103488i
$407$	−5.53511	−	5.53511i	−0.274365	−	0.274365i
$408$	−28.7237	+	21.1639i	−1.42204	+	1.04777i
$409$	−17.1743	−	29.7467i	−0.849213	−	1.47088i	−0.881912	−	0.471415i	$-0.843744\pi$
$409$	−17.1743	−	29.7467i	−0.849213	−	1.47088i	0.0326989	−	0.999465i	$-0.489590\pi$
$410$	−11.5319	+	4.75989i	−0.569519	+	0.235074i
$411$	−16.7649	+	29.0376i	−0.826951	+	1.43232i
$412$	13.2082	+	0.171660i	0.650722	+	0.00845709i
$413$	−17.6319	+	5.78832i	−0.867609	+	0.284825i
$414$	32.5815	+	13.7444i	1.60129	+	0.675500i
$415$	6.69095	−	25.5064i	0.328446	−	1.25206i
$416$	−3.17790	−	32.1880i	−0.155809	−	1.57815i
$417$	6.48434	−	24.1999i	0.317539	−	1.18507i
$418$	0.820543	−	5.93441i	0.0401341	−	0.290261i
$419$		−	26.1294i		−	1.27650i	−0.769828	−	0.638252i	$-0.779658\pi$
$419$		−	26.1294i		−	1.27650i	0.769828	−	0.638252i	$-0.220342\pi$
$420$	34.0610	+	7.40727i	1.66200	+	0.361438i
$421$			28.7621i			1.40178i	0.713270	+	0.700889i	$0.247213\pi$
$421$			28.7621i			1.40178i	−0.713270	+	0.700889i	$0.752787\pi$
$422$	27.6271	+	3.81996i	1.34487	+	0.185953i
$423$	4.60675	−	17.1926i	0.223988	−	0.835934i
$424$	−10.3631	−	8.27780i	−0.503279	−	0.402005i
$425$	−14.9788	+	15.2971i	−0.726580	+	0.742017i
$426$	5.07284	−	12.0253i	0.245780	−	0.582629i
$427$	4.22387	−	4.71988i	0.204407	−	0.228411i
$428$	−0.369722	+	28.4479i	−0.0178712	+	1.37508i
$429$	−23.5899	+	40.8590i	−1.13893	+	1.97269i
$430$	10.7384	−	25.8341i	0.517854	−	1.24583i
$431$	14.8784	+	25.7702i	0.716668	+	1.24131i	0.962313	+	0.271945i	$0.0876669\pi$
$431$	14.8784	+	25.7702i	0.716668	+	1.24131i	−0.245645	+	0.969360i	$0.579000\pi$
$432$	7.37454	+	30.6917i	0.354808	+	1.47665i
$433$	25.0644	+	25.0644i	1.20452	+	1.20452i	0.972778	+	0.231738i	$0.0744413\pi$
$433$	25.0644	+	25.0644i	1.20452	+	1.20452i	0.231738	+	0.972778i	$0.425559\pi$
$434$	6.10454	+	33.5843i	0.293027	+	1.61210i
$435$	−3.76110	+	1.02900i	−0.180331	+	0.0493367i
$436$	0.291770	+	1.14839i	0.0139732	+	0.0549980i
$437$	−1.72361	+	6.43261i	−0.0824515	+	0.307713i
$438$	−3.76082	−	2.92480i	−0.179699	−	0.139752i
$439$	−6.21342	+	10.7620i	−0.296550	+	0.513640i	−0.975344	−	0.220689i	$-0.929170\pi$
$439$	−6.21342	+	10.7620i	−0.296550	+	0.513640i	0.678794	+	0.734329i	$0.262503\pi$
$440$	10.5828	+	14.2061i	0.504517	+	0.677251i
$441$	23.5602	+	32.0163i	1.12191	+	1.52458i
$442$	13.0419	+	32.0738i	0.620339	+	1.52560i
$443$	19.7678	−	5.29676i	0.939196	−	0.251657i	0.243424	−	0.969920i	$-0.421729\pi$
$443$	19.7678	−	5.29676i	0.939196	−	0.251657i	0.695772	+	0.718263i	$0.255063\pi$
$444$	−4.46811	+	15.8484i	−0.212047	+	0.752133i
$445$	0.0486631	+	9.25924i	0.00230685	+	0.438930i
$446$	−27.2074	+	20.5975i	−1.28831	+	0.975318i
$447$	−21.9001	+	21.9001i	−1.03584	+	1.03584i
$448$	−10.8825	−	18.1541i	−0.514148	−	0.857701i
$449$		−	10.1212i		−	0.477651i	−0.971062	−	0.238826i	$-0.923238\pi$
$449$		−	10.1212i		−	0.477651i	0.971062	−	0.238826i	$-0.0767624\pi$
$450$	15.5152	+	37.0358i	0.731392	+	1.74589i
$451$	−5.52504	−	9.56966i	−0.260164	−	0.450618i
$452$	3.13752	−	1.75748i	0.147576	−	0.0826650i
$453$	0.125447	+	0.468173i	0.00589400	+	0.0219967i
$454$	−33.6812	−	14.2083i	−1.58074	−	0.666830i
$455$	15.1064	−	30.2662i	0.708198	−	1.41890i
$456$	−11.7346	+	4.59475i	−0.549524	+	0.215169i
$457$	−15.5146	+	4.15713i	−0.725743	+	0.194462i	−0.602733	−	0.797943i	$-0.705921\pi$
$457$	−15.5146	+	4.15713i	−0.725743	+	0.194462i	−0.123010	+	0.992405i	$0.539255\pi$
$458$	−20.6648	+	26.5716i	−0.965604	+	1.24161i
$459$	−16.8949	−	29.2628i	−0.788585	−	1.36587i
$460$	−9.71365	−	17.1294i	−0.452901	−	0.798661i
$461$	18.9594			0.883028			0.441514	−	0.897254i	$-0.354442\pi$
$461$	18.9594			0.883028			0.441514	+	0.897254i	$0.354442\pi$
$462$	−2.52868	+	30.7704i	−0.117645	+	1.43157i
$463$	3.69866	−	3.69866i	0.171892	−	0.171892i	−0.615918	−	0.787810i	$-0.711215\pi$
$463$	3.69866	−	3.69866i	0.171892	−	0.171892i	0.787810	+	0.615918i	$0.211215\pi$
$464$	2.01908	+	1.23677i	0.0937332	+	0.0574155i
$465$	−42.2701	+	42.7168i	−1.96023	+	1.98094i
$466$	−31.9372	+	3.99367i	−1.47946	+	0.185003i
$467$	4.65778	−	1.24805i	0.215537	−	0.0577528i	−0.149435	−	0.988772i	$-0.547745\pi$
$467$	4.65778	−	1.24805i	0.215537	−	0.0577528i	0.364971	+	0.931019i	$0.381079\pi$
$468$	64.9332	+	0.843903i	3.00154	+	0.0390094i
$469$	1.07847	+	0.545379i	0.0497990	+	0.0251833i
$470$	−7.87101	+	6.02412i	−0.363063	+	0.277872i
$471$	6.59632	−	11.4252i	0.303942	−	0.526443i
$472$	2.20562	+	19.7160i	0.101522	+	0.907504i
$473$	23.9359	+	6.41359i	1.10057	+	0.294897i
$474$	−11.6775	+	8.84050i	−0.536365	+	0.406058i
$475$	−6.50884	+	3.84966i	−0.298646	+	0.176635i
$476$	16.6862	+	15.3278i	0.764810	+	0.702547i
$477$	18.8296	−	18.8296i	0.862149	−	0.862149i
$478$	−18.0016	−	2.48906i	−0.823374	−	0.113847i
$479$	−1.44656	−	2.50551i	−0.0660949	−	0.114480i	0.831084	−	0.556147i	$-0.187721\pi$
$479$	−1.44656	−	2.50551i	−0.0660949	−	0.114480i	−0.897179	+	0.441667i	$0.854387\pi$
$480$	15.1924	−	34.0262i	0.693436	−	1.55308i
$481$	13.8387	+	7.98975i	0.630988	+	0.364301i
$482$	−14.7130	−	36.1836i	−0.670159	−	1.64812i
$483$	7.03336	−	33.5917i	0.320029	−	1.52847i
$484$	4.51907	−	4.40311i	0.205412	−	0.200142i
$485$	5.47380	−	20.8666i	0.248553	−	0.947501i
$486$	7.54312	−	0.943249i	0.342163	−	0.0427866i
$487$	4.27228	−	15.9443i	0.193595	−	0.722507i	−0.799031	−	0.601290i	$-0.794654\pi$
$487$	4.27228	−	15.9443i	0.193595	−	0.722507i	0.992626	−	0.121217i	$-0.0386798\pi$
$488$	−4.01657	−	5.45130i	−0.181821	−	0.246769i
$489$	−30.3553			−1.37271
$490$	0.472267	−	22.1309i	0.0213348	−	0.999772i
$491$			43.4430i			1.96055i	0.197627	+	0.980277i	$0.436676\pi$
$491$			43.4430i			1.96055i	−0.197627	+	0.980277i	$0.563324\pi$
$492$	−11.8828	+	19.9775i	−0.535719	+	0.900657i
$493$	−2.44825	−	0.656008i	−0.110264	−	0.0295451i
$494$	1.51746	+	12.1351i	0.0682738	+	0.545983i
$495$	−30.7073	+	17.9447i	−1.38019	+	0.806554i
$496$	36.4791	+	0.948360i	1.63796	+	0.0425826i
$497$	−8.11243	−	1.69857i	−0.363892	−	0.0761911i
$498$	−18.5064	−	45.5126i	−0.829290	−	2.03947i
$499$	4.56263	−	7.90271i	0.204251	−	0.353774i	−0.745643	−	0.666346i	$-0.767857\pi$
$499$	4.56263	−	7.90271i	0.204251	−	0.353774i	0.949894	+	0.312572i	$0.101191\pi$
$500$	5.72750	−	21.6147i	0.256141	−	0.966639i
$501$	−14.9817	+	8.64970i	−0.669334	+	0.386440i
$502$	−3.11396	+	22.5211i	−0.138983	+	1.00517i
$503$	−5.06924	−	5.06924i	−0.226026	−	0.226026i	0.585004	−	0.811030i	$-0.301093\pi$
$503$	−5.06924	−	5.06924i	−0.226026	−	0.226026i	−0.811030	+	0.585004i	$0.801093\pi$
$504$	38.6515	−	17.6613i	1.72167	−	0.786697i
$505$	15.2335	+	8.68865i	0.677883	+	0.386640i
$506$	13.9062	−	10.5278i	0.618206	−	0.468016i
$507$	15.0152	−	56.0374i	0.666847	−	2.48871i
$508$	−7.33666	−	13.0977i	−0.325512	−	0.581115i
$509$	−19.8831	−	11.4795i	−0.881301	−	0.508819i	−0.0102140	−	0.999948i	$-0.503251\pi$
$509$	−19.8831	−	11.4795i	−0.881301	−	0.508819i	−0.871087	+	0.491128i	$0.836585\pi$
$510$	−5.25580	+	39.5421i	−0.232731	+	1.75096i
$511$	−1.36536	+	2.69995i	−0.0603999	+	0.119439i
$512$	−21.3754	+	7.42249i	−0.944667	+	0.328031i
$513$	−3.08899	−	11.5283i	−0.136382	−	0.508985i
$514$	−18.4091	+	2.30201i	−0.811991	+	0.101537i
$515$	10.3879	−	10.4976i	0.457744	−	0.462581i
$516$	−12.8359	−	50.5214i	−0.565067	−	2.22408i
$517$	−6.20782	−	6.20782i	−0.273020	−	0.273020i
$518$	10.4217	+	0.856448i	0.457904	+	0.0376302i
$519$			33.5940i			1.47461i
$520$	−28.3731	−	22.4204i	−1.24424	−	0.983201i
$521$	−6.93031	+	4.00122i	−0.303622	+	0.175296i	−0.644069	−	0.764967i	$-0.722755\pi$
$521$	−6.93031	+	4.00122i	−0.303622	+	0.175296i	0.340447	+	0.940264i	$0.389422\pi$
$522$	−2.91837	+	3.75255i	−0.127733	+	0.164245i
$523$	−4.19837	−	15.6685i	−0.183582	−	0.685137i	−0.994930	−	0.100573i	$-0.967932\pi$
$523$	−4.19837	−	15.6685i	−0.183582	−	0.685137i	0.811348	−	0.584564i	$-0.198734\pi$
$524$	0.0463031	−	0.0451150i	0.00202276	−	0.00197086i
$525$	32.3935	−	21.6664i	1.41377	−	0.945599i
$526$	12.9638	−	30.7310i	0.565247	−	1.33993i
$527$	−37.7321	+	10.1103i	−1.64363	+	0.440411i
$528$	31.6484	+	9.36820i	1.37732	+	0.407699i
$529$	3.12764	−	1.80574i	0.135984	−	0.0785105i
$530$	−14.7044	+	1.91729i	−0.638719	+	0.0832818i
$531$	−39.8312			−1.72853
$532$	4.29170	+	6.75489i	0.186069	+	0.292861i
$533$	15.9504	+	15.9504i	0.690890	+	0.690890i
$534$	10.4132	+	13.7549i	0.450622	+	0.595231i
$535$	22.6098	+	22.3734i	0.977507	+	0.967286i
$536$	0.806329	−	1.00946i	0.0348281	−	0.0436020i
$537$	−10.1447	−	37.8607i	−0.437778	−	1.63381i
$538$	10.6443	+	26.1775i	0.458910	+	1.12859i
$539$	19.4863	−	2.16807i	0.839336	−	0.0933856i
$540$	30.4254	+	17.8815i	1.30930	+	0.769498i
$541$	−33.5018	−	19.3422i	−1.44035	−	0.831588i	−0.442480	−	0.896778i	$-0.645901\pi$
$541$	−33.5018	−	19.3422i	−1.44035	−	0.831588i	−0.997873	+	0.0651901i	$0.979235\pi$
$542$	−17.2560	+	22.1884i	−0.741209	+	0.953075i
$543$	−51.7341	−	13.8621i	−2.22012	−	0.594880i
$544$	19.6855	−	14.1134i	0.844009	−	0.605109i
$545$	1.15072	+	0.656328i	0.0492913	+	0.0281140i
$546$	−11.2713	−	62.0095i	−0.482368	−	2.65376i
$547$	18.5324	−	18.5324i	0.792387	−	0.792387i	−0.189495	−	0.981882i	$-0.560685\pi$
$547$	18.5324	−	18.5324i	0.792387	−	0.792387i	0.981882	+	0.189495i	$0.0606850\pi$
$548$	11.6368	−	19.5640i	0.497101	−	0.835731i
$549$	11.7734	−	6.79736i	0.502475	−	0.290104i
$550$	19.6464	+	2.50633i	0.837726	+	0.106870i
$551$	−0.775315	−	0.447628i	−0.0330295	−	0.0190696i
$552$	−33.6167	−	14.6986i	−1.43082	−	0.625614i
$553$	6.93105	+	6.20266i	0.294738	+	0.263764i
$554$	6.20252	−	14.7033i	0.263520	−	0.624682i
$555$	9.28857	+	15.8948i	0.394278	+	0.674695i
$556$	−4.61532	+	16.3706i	−0.195733	+	0.694268i
$557$	−3.91409	−	1.04878i	−0.165845	−	0.0444382i	0.174941	−	0.984579i	$-0.444027\pi$
$557$	−3.91409	−	1.04878i	−0.165845	−	0.0444382i	−0.340786	+	0.940141i	$0.610693\pi$
$558$	−10.0347	+	72.5741i	−0.424804	+	3.07230i
$559$	−50.5856			−2.13954
$560$	−23.0565	−	5.32884i	−0.974316	−	0.225185i
$561$	−35.3319			−1.49171
$562$	−6.23710	+	45.1085i	−0.263096	+	1.90279i
$563$	−22.7482	−	6.09536i	−0.958722	−	0.256889i	−0.254663	−	0.967030i	$-0.581965\pi$
$563$	−22.7482	−	6.09536i	−0.958722	−	0.256889i	−0.704059	+	0.710141i	$0.748631\pi$
$564$	−5.01114	+	17.7746i	−0.211007	+	0.748445i
$565$	1.02021	−	3.88910i	0.0429204	−	0.163616i
$566$	3.97121	−	9.41387i	0.166922	−	0.395694i
$567$	5.12587	+	15.6140i	0.215267	+	0.655726i
$568$	−3.54973	+	8.11849i	−0.148944	+	0.340644i
$569$	37.2522	+	21.5076i	1.56169	+	0.901645i	0.997086	+	0.0762863i	$0.0243063\pi$
$569$	37.2522	+	21.5076i	1.56169	+	0.901645i	0.564609	+	0.825359i	$0.309027\pi$
$570$	−5.40801	+	13.0104i	−0.226517	+	0.544944i
$571$	37.0360	−	21.3827i	1.54991	−	0.894839i	0.551758	−	0.834004i	$-0.313957\pi$
$571$	37.0360	−	21.3827i	1.54991	−	0.894839i	0.998148	−	0.0608349i	$-0.0193763\pi$
$572$	16.3742	−	27.5285i	0.684641	−	1.15102i
$573$	−9.61144	+	9.61144i	−0.401524	+	0.401524i
$574$	13.8975	+	4.97548i	0.580072	+	0.207673i
$575$	−21.3247	−	5.47437i	−0.889303	−	0.228297i
$576$	−10.0387	−	44.3065i	−0.418279	−	1.84610i
$577$	37.7055	+	10.1031i	1.56970	+	0.420599i	0.935718	−	0.352749i	$-0.114753\pi$
$577$	37.7055	+	10.1031i	1.56970	+	0.420599i	0.633981	+	0.773349i	$0.281420\pi$
$578$	−1.15871	+	1.48991i	−0.0481959	+	0.0619721i
$579$	19.9095	+	11.4948i	0.827411	+	0.477706i
$580$	2.56225	−	0.665341i	0.106392	−	0.0276268i
$581$	−26.1153	+	17.0727i	−1.08345	+	0.708294i
$582$	−15.1399	−	37.2334i	−0.627568	−	1.54337i
$583$	−3.39945	−	12.6869i	−0.140791	−	0.525438i
$584$	2.52719	+	2.01865i	0.104576	+	0.0835323i
$585$	51.0680	−	51.6077i	2.11140	−	2.13371i
$586$	7.11785	+	9.40204i	0.294036	+	0.388395i
$587$	−10.3437	−	10.3437i	−0.426931	−	0.426931i	0.460651	−	0.887581i	$-0.347616\pi$
$587$	−10.3437	−	10.3437i	−0.426931	−	0.426931i	−0.887581	+	0.460651i	$0.847616\pi$
$588$	−24.0112	−	33.5334i	−0.990203	−	1.38289i
$589$	−13.7975			−0.568518
$590$	17.5803	+	13.5246i	0.723771	+	0.556799i
$591$	7.88301	−	4.55126i	0.324264	−	0.187214i
$592$	3.17295	−	10.7191i	0.130407	−	0.440552i
$593$	38.0338	−	10.1911i	1.56186	−	0.418499i	0.628608	−	0.777722i	$-0.283625\pi$
$593$	38.0338	−	10.1911i	1.56186	−	0.418499i	0.933252	+	0.359223i	$0.116958\pi$
$594$	−12.1495	+	28.8007i	−0.498500	+	1.18171i
$595$	25.2854	−	1.53566i	1.03660	−	0.0629558i
$596$	15.0598	−	14.6734i	0.616874	−	0.601045i
$597$	−8.59419	−	32.0740i	−0.351737	−	1.31270i
$598$	−21.8581	+	28.1061i	−0.893846	+	1.14934i
$599$	26.7981	−	15.4719i	1.09494	−	0.632163i	0.160052	−	0.987109i	$-0.448834\pi$
$599$	26.7981	−	15.4719i	1.09494	−	0.632163i	0.934887	+	0.354945i	$0.115500\pi$
$600$	−15.5970	−	38.6325i	−0.636747	−	1.57716i
$601$		−	27.4576i		−	1.12002i	−0.828486	−	0.560009i	$-0.810798\pi$
$601$		−	27.4576i		−	1.12002i	0.828486	−	0.560009i	$-0.189202\pi$
$602$	−29.9272	+	14.1478i	−1.21974	+	0.576623i
$603$	1.83417	+	1.83417i	0.0746931	+	0.0746931i
$604$	−0.0810276	−	0.318921i	−0.00329696	−	0.0129767i
$605$	−0.0370737	−	7.05410i	−0.00150726	−	0.286790i
$606$	32.4226	−	4.05437i	1.31708	−	0.164697i
$607$	10.3076	+	38.4686i	0.418374	+	1.56139i	0.777981	+	0.628288i	$0.216244\pi$
$607$	10.3076	+	38.4686i	0.418374	+	1.56139i	−0.359608	+	0.933104i	$0.617089\pi$
$608$	8.00644	−	3.01557i	0.324704	−	0.122297i
$609$	4.11722	+	2.08207i	0.166838	+	0.0843699i
$610$	−7.50446	−	0.997467i	−0.303847	−	0.0403863i
$611$	15.5205	+	8.96079i	0.627894	+	0.362515i
$612$	23.7662	+	42.4282i	0.960690	+	1.71506i
$613$	4.50145	−	16.7996i	0.181812	−	0.678531i	−0.813479	−	0.581595i	$-0.802429\pi$
$613$	4.50145	−	16.7996i	0.181812	−	0.678531i	0.995291	−	0.0969365i	$-0.0309044\pi$
$614$	−12.7935	+	9.68540i	−0.516305	+	0.390871i
$615$	6.85804	+	25.0668i	0.276543	+	1.01079i
$616$	1.98804	−	20.8658i	0.0801004	−	0.840708i
$617$	16.8675	+	16.8675i	0.679062	+	0.679062i	0.959788	−	0.280726i	$-0.0905753\pi$
$617$	16.8675	+	16.8675i	0.679062	+	0.679062i	−0.280726	+	0.959788i	$0.590575\pi$
$618$	3.76881	−	27.2571i	0.151604	−	1.09644i
$619$	−19.0038	+	10.9719i	−0.763829	+	0.440997i	−0.830669	−	0.556767i	$-0.812042\pi$
$619$	−19.0038	+	10.9719i	−0.763829	+	0.440997i	0.0668399	+	0.997764i	$0.478708\pi$
$620$	29.0714	−	28.6248i	1.16754	−	1.14960i
$621$	17.3736	−	30.0920i	0.697180	−	1.20755i
$622$	−10.8285	−	26.6304i	−0.434182	−	1.06778i
$623$	7.30608	−	8.16404i	0.292712	−	0.327085i
$624$	−67.3544	−	1.75104i	−2.69634	−	0.0700975i
$625$	−12.9524	−	21.3831i	−0.518094	−	0.855324i
$626$	−3.17970	−	25.4279i	−0.127086	−	1.01630i
$627$	−12.0544	−	3.22997i	−0.481406	−	0.128992i
$628$	−4.57863	+	7.69764i	−0.182707	+	0.307169i
$629$			11.9667i			0.477142i
$630$	15.7789	−	44.8146i	0.628648	−	1.78546i
$631$	−42.0468			−1.67386			−0.836929	−	0.547311i	$-0.815651\pi$
$631$	−42.0468			−1.67386			−0.836929	+	0.547311i	$0.815651\pi$
$632$	8.00513	−	5.89824i	0.318427	−	0.234620i
$633$	15.0368	−	56.1181i	0.597659	−	2.23050i
$634$	20.9295	−	2.61719i	0.831218	−	0.103942i
$635$	−16.2352	−	4.25888i	−0.644274	−	0.169009i
$636$	−19.7889	+	19.2811i	−0.784681	+	0.764547i
$637$	−37.2779	+	14.5706i	−1.47701	+	0.577307i
$638$	0.883200	+	2.17205i	0.0349662	+	0.0859921i
$639$	−15.4063	−	8.89481i	−0.609462	−	0.351873i
$640$	−10.6134	+	22.9642i	−0.419531	+	0.907741i
$641$	4.50057	+	7.79521i	0.177762	+	0.307892i	0.941114	−	0.338091i	$-0.109781\pi$
$641$	4.50057	+	7.79521i	0.177762	+	0.307892i	−0.763352	+	0.645983i	$0.776448\pi$
$642$	58.7065	+	8.11727i	2.31696	+	0.320363i
$643$	2.76326	−	2.76326i	0.108972	−	0.108972i	−0.650518	−	0.759491i	$-0.725448\pi$
$643$	2.76326	−	2.76326i	0.108972	−	0.108972i	0.759491	+	0.650518i	$0.225448\pi$
$644$	−5.07088	+	22.7413i	−0.199821	+	0.896131i
$645$	−50.6237	−	28.8739i	−1.99331	−	1.13691i
$646$	−7.30196	+	5.52798i	−0.287292	+	0.217495i
$647$	−42.7198	−	11.4467i	−1.67949	−	0.450018i	−0.711846	−	0.702336i	$-0.752140\pi$
$647$	−42.7198	−	11.4467i	−1.67949	−	0.450018i	−0.967644	+	0.252318i	$0.918807\pi$
$648$	17.4596	−	1.95319i	0.685878	−	0.0767287i
$649$	−9.82311	+	17.0141i	−0.385591	+	0.667863i
$650$	−40.0633	+	5.43809i	−1.57141	+	0.213299i
$651$	70.9970	−	3.93746i	2.78259	−	0.154321i
$652$	20.6063	+	0.267810i	0.807006	+	0.0104882i
$653$	−21.1610	+	5.67007i	−0.828093	+	0.221887i	−0.647882	−	0.761741i	$-0.724345\pi$
$653$	−21.1610	+	5.67007i	−0.828093	+	0.221887i	−0.180211	+	0.983628i	$0.557678\pi$
$654$	2.44915	−	0.306261i	0.0957695	−	0.0119757i
$655$	−0.000379864	−	0.0722775i	−1.48425e−5	−	0.00282412i
$656$	8.24277	−	13.4567i	0.321826	−	0.525395i
$657$	−4.59185	+	4.59185i	−0.179145	+	0.179145i
$658$	11.6883	+	0.960537i	0.455659	+	0.0374456i
$659$	12.1787			0.474416			0.237208	−	0.971459i	$-0.423768\pi$
$659$	12.1787			0.474416			0.237208	+	0.971459i	$0.423768\pi$
$660$	32.0996	−	18.2029i	1.24948	−	0.708548i
$661$	5.61675	+	9.72849i	0.218466	+	0.378394i	0.954339	−	0.298725i	$-0.0965614\pi$
$661$	5.61675	+	9.72849i	0.218466	+	0.378394i	−0.735873	+	0.677119i	$0.763228\pi$
$662$	−8.05004	+	10.3511i	−0.312874	+	0.402305i
$663$	69.6679	−	18.6675i	2.70568	−	0.724984i
$664$	12.1613	+	31.0589i	0.471950	+	1.20532i
$665$	8.76718	+	1.78761i	0.339977	+	0.0693206i
$666$	20.6793	+	8.72350i	0.801307	+	0.338029i
$667$	−0.674598	−	2.51763i	−0.0261205	−	0.0974832i
$668$	10.2465	−	5.73957i	0.396448	−	0.222071i
$669$	35.5427	+	61.5618i	1.37416	+	2.38012i
$670$	−0.186761	−	1.43234i	−0.00721520	−	0.0553360i
$671$		−	6.70542i		−	0.258860i
$672$	−40.3376	+	17.8018i	−1.55606	+	0.686719i
$673$	−11.6856	+	11.6856i	−0.450448	+	0.450448i	−0.895503	−	0.445055i	$-0.853184\pi$
$673$	−11.6856	+	11.6856i	−0.450448	+	0.450448i	0.445055	+	0.895503i	$0.353184\pi$
$674$	17.6876	−	13.3904i	0.681299	−	0.515780i
$675$	38.0026	−	10.6121i	1.46272	−	0.408461i
$676$	−10.6873	+	37.9078i	−0.411048	+	1.45799i
$677$	−0.891019	+	0.238748i	−0.0342447	+	0.00917583i	−0.275901	−	0.961186i	$-0.588976\pi$
$677$	−0.891019	+	0.238748i	−0.0342447	+	0.00917583i	0.241656	+	0.970362i	$0.422309\pi$
$678$	−2.82176	−	6.93954i	−0.108369	−	0.266512i
$679$	−21.3647	+	13.9670i	−0.819901	+	0.536004i
$680$	3.91670	−	26.7963i	0.150199	−	1.02759i
$681$	−38.0745	+	65.9470i	−1.45902	+	2.52709i
$682$	28.5257	+	22.1845i	1.09231	+	0.849489i
$683$	−4.79525	+	17.8961i	−0.183485	+	0.684776i	0.811464	+	0.584402i	$0.198671\pi$
$683$	−4.79525	+	17.8961i	−0.183485	+	0.684776i	−0.994950	+	0.100375i	$0.967996\pi$
$684$	4.22976	+	16.6481i	0.161729	+	0.636557i
$685$	−6.71606	−	24.5479i	−0.256608	−	0.937927i
$686$	−17.9791	+	19.0461i	−0.686444	+	0.727183i
$687$	49.5825	+	49.5825i	1.89169	+	1.89169i
$688$	8.26775	+	34.4091i	0.315205	+	1.31183i
$689$	13.4062	+	23.2201i	0.510734	+	0.884617i
$690$	−37.9173	+	15.6507i	−1.44349	+	0.595812i
$691$	−2.59904	+	4.50167i	−0.0988723	+	0.171252i	−0.911218	−	0.411924i	$-0.864857\pi$
$691$	−2.59904	+	4.50167i	−0.0988723	+	0.171252i	0.812346	+	0.583176i	$0.198190\pi$
$692$	0.296384	−	22.8049i	0.0112668	−	0.866913i
$693$	41.1892	+	8.62413i	1.56465	+	0.327604i
$694$	−6.86653	+	16.2773i	−0.260650	+	0.617878i
$695$	9.59460	+	16.4185i	0.363944	+	0.622788i
$696$	3.07829	−	3.85378i	0.116682	−	0.146077i
$697$	−4.37214	+	16.3171i	−0.165607	+	0.618052i
$698$	−22.5597	−	3.11931i	−0.853899	−	0.118068i
$699$			67.0469i			2.53595i
$700$	−22.1811	+	14.4222i	−0.838366	+	0.545107i
$701$			9.41019i			0.355418i	0.984083	+	0.177709i	$0.0568686\pi$
$701$			9.41019i			0.355418i	−0.984083	+	0.177709i	$0.943131\pi$
$702$	8.73980	−	63.2088i	0.329862	−	2.38566i
$703$	−1.09397	+	4.08274i	−0.0412598	+	0.153984i
$704$	−21.4015	−	6.63871i	−0.806600	−	0.250206i
$705$	10.4175	+	17.8266i	0.392344	+	0.671387i
$706$	43.9433	+	18.5374i	1.65383	+	0.697663i
$707$	−6.47221	−	19.7151i	−0.243413	−	0.741462i
$708$	41.3234	+	0.537058i	1.55303	+	0.0201839i
$709$	−0.702599	+	1.21694i	−0.0263867	+	0.0457030i	−0.878917	−	0.476974i	$-0.841733\pi$
$709$	−0.702599	+	1.21694i	−0.0263867	+	0.0457030i	0.852531	+	0.522677i	$0.175067\pi$
$710$	3.77967	+	9.15709i	0.141848	+	0.343659i
$711$	9.98178	+	17.2890i	0.374346	+	0.648386i
$712$	−6.94751	−	9.42919i	−0.260369	−	0.353374i
$713$	−28.4046	−	28.4046i	−1.06376	−	1.06376i
$714$	35.9956	−	30.5287i	1.34710	−	1.14251i
$715$	−9.45020	−	34.5414i	−0.353417	−	1.29178i
$716$	6.55261	+	25.7908i	0.244883	+	0.963847i
$717$	−9.79787	+	36.5661i	−0.365908	+	1.36559i
$718$	−9.33086	+	11.9980i	−0.348225	+	0.447761i
$719$	−4.04242	+	7.00168i	−0.150757	+	0.261119i	−0.931506	−	0.363726i	$-0.881504\pi$
$719$	−4.04242	+	7.00168i	−0.150757	+	0.261119i	0.780749	+	0.624845i	$0.214838\pi$
$720$	−43.4509	−	26.3024i	−1.61932	−	0.980234i
$721$	−17.4475	+	0.967629i	−0.649778	+	0.0360364i
$722$	21.8944	−	8.90272i	0.814824	−	0.331325i
$723$	−78.5948	+	21.0594i	−2.92297	+	0.783208i
$724$	34.9968	+	9.86656i	1.30065	+	0.366688i
$725$	1.45282	−	2.57858i	0.0539565	−	0.0957662i
$726$	−7.93322	−	10.4791i	−0.294429	−	0.388914i
$727$	36.2679	−	36.2679i	1.34510	−	1.34510i	0.454203	−	0.890898i	$-0.349924\pi$
$727$	36.2679	−	36.2679i	1.34510	−	1.34510i	0.890898	−	0.454203i	$-0.150076\pi$
$728$	7.10433	+	42.1939i	0.263304	+	1.56381i
$729$		−	34.4697i		−	1.27666i
$730$	3.58586	−	0.467557i	0.132719	−	0.0173050i
$731$	−18.9412	−	32.8071i	−0.700565	−	1.21341i
$732$	−12.3061	+	6.89326i	−0.454846	+	0.254782i
$733$	−13.6257	−	50.8519i	−0.503278	−	1.87826i	−0.477580	−	0.878588i	$-0.658486\pi$
$733$	−13.6257	−	50.8519i	−0.503278	−	1.87826i	−0.0256981	−	0.999670i	$-0.508181\pi$
$734$	4.91980	−	11.6625i	0.181593	−	0.430471i
$735$	−45.6228	−	6.69646i	−1.68282	−	0.247003i
$736$	22.6907	+	10.2746i	0.836389	+	0.378725i
$737$	1.23582	−	0.331136i	0.0455219	−	0.0121975i
$738$	25.0099	+	19.4502i	0.920626	+	0.715973i
$739$	15.7997	+	27.3659i	0.581202	+	1.00667i	0.995337	+	0.0964558i	$0.0307506\pi$
$739$	15.7997	+	27.3659i	0.581202	+	1.00667i	−0.414135	+	0.910215i	$0.635916\pi$
$740$	−6.16520	−	10.8719i	−0.226637	−	0.399660i
$741$	25.4756			0.935868
$742$	14.4255	+	9.98793i	0.529577	+	0.366669i
$743$	−33.7001	+	33.7001i	−1.23634	+	1.23634i	−0.274851	+	0.961487i	$0.588628\pi$
$743$	−33.7001	+	33.7001i	−1.23634	+	1.23634i	−0.961487	+	0.274851i	$0.911372\pi$
$744$	11.3892	−	75.1576i	0.417548	−	2.75541i
$745$	−0.123548	−	23.5078i	−0.00452646	−	0.861259i
$746$	2.79681	+	22.3660i	0.102398	+	0.818876i
$747$	−64.6856	+	17.3324i	−2.36672	+	0.634161i
$748$	23.9846	+	0.311716i	0.876965	+	0.0113975i
$749$	−2.08408	−	37.5784i	−0.0761506	−	1.37309i
$750$	−43.1974	−	17.4257i	−1.57735	−	0.636295i
$751$	15.3435	−	26.5758i	0.559894	−	0.969764i	−0.437611	−	0.899164i	$-0.644175\pi$
$751$	15.3435	−	26.5758i	0.559894	−	0.969764i	0.997505	−	0.0705997i	$-0.0224913\pi$
$752$	3.55857	−	12.0219i	0.129768	−	0.438392i
$753$	45.7465	+	12.2577i	1.66709	+	0.446697i
$754$	−2.88910	−	3.81623i	−0.105215	−	0.138979i
$755$	−0.319567	−	0.182269i	−0.0116302	−	0.00663346i
$756$	−12.5077	−	39.8396i	−0.454900	−	1.44895i
$757$	−12.0963	+	12.0963i	−0.439648	+	0.439648i	−0.891894	−	0.452245i	$-0.850623\pi$
$757$	−12.0963	+	12.0963i	−0.439648	+	0.439648i	0.452245	+	0.891894i	$0.350623\pi$
$758$	4.35946	−	31.5289i	0.158343	−	1.14518i
$759$	−18.1666	−	31.4654i	−0.659405	−	1.14212i
$760$	3.78595	−	8.78422i	0.137331	−	0.318637i
$761$	−19.2796	−	11.1311i	−0.698884	−	0.403501i	0.108048	−	0.994146i	$-0.465540\pi$
$761$	−19.2796	−	11.1311i	−0.698884	−	0.403501i	−0.806932	+	0.590645i	$0.798873\pi$
$762$	−28.9694	+	11.7796i	−1.04945	+	0.426728i
$763$	−0.488901	−	1.48925i	−0.0176994	−	0.0539144i
$764$	6.60941	−	6.43982i	0.239120	−	0.232984i
$765$	52.5918	+	13.7961i	1.90146	+	0.498799i
$766$	0.110257	+	0.881720i	0.00398375	+	0.0318578i
$767$	10.3800	−	38.7387i	0.374800	−	1.39877i
$768$	9.81737	+	46.1017i	0.354254	+	1.66355i
$769$	5.85860			0.211267			0.105633	−	0.994405i	$-0.466313\pi$
$769$	5.85860			0.211267			0.105633	+	0.994405i	$0.466313\pi$
$770$	−15.2515	−	17.7922i	−0.549624	−	0.641186i
$771$			38.6468i			1.39183i
$772$	−13.4139	−	7.97874i	−0.482778	−	0.287161i
$773$	−26.7467	−	7.16676i	−0.962013	−	0.257771i	−0.256561	−	0.966528i	$-0.582589\pi$
$773$	−26.7467	−	7.16676i	−0.962013	−	0.257771i	−0.705452	+	0.708757i	$0.749256\pi$
$774$	−70.5009	+	8.81597i	−2.53410	+	0.316884i
$775$	−0.479450	−	45.6118i	−0.0172224	−	1.63842i
$776$	9.94904	+	25.4090i	0.357150	+	0.912130i
$777$	4.46404	−	21.3205i	0.160147	−	0.764867i
$778$	51.3951	−	20.8984i	1.84261	−	0.749242i
$779$	−2.98334	+	5.16730i	−0.106889	+	0.185138i
$780$	−53.6770	+	52.8525i	−1.92195	+	1.89242i
$781$	−7.59895	+	4.38725i	−0.271912	+	0.156988i
$782$	−26.4126	−	3.65204i	−0.944512	−	0.130597i
$783$	3.30301	+	3.30301i	0.118040	+	0.118040i
$784$	16.0038	+	22.9756i	0.571566	+	0.820556i
$785$	2.64250	+	9.65862i	0.0943150	+	0.344731i
$786$	−0.0812851	−	0.107370i	−0.00289934	−	0.00382977i
$787$	−8.38308	+	31.2861i	−0.298825	+	1.11523i	0.639308	+	0.768951i	$0.279221\pi$
$787$	−8.38308	+	31.2861i	−0.298825	+	1.11523i	−0.938132	+	0.346277i	$0.887446\pi$
$788$	−5.39144	+	3.02002i	−0.192062	+	0.107584i
$789$	−60.1704	−	34.7394i	−2.14212	−	1.23676i
$790$	1.46476	−	11.0201i	0.0521138	−	0.392079i
$791$	−3.98194	+	2.60316i	−0.141581	+	0.0925578i
$792$	18.0231	−	41.2200i	0.640422	−	1.46469i
$793$	3.54278	+	13.2218i	0.125808	+	0.469521i
$794$	5.51337	+	44.0902i	0.195662	+	1.56470i
$795$	0.162345	+	30.8898i	0.00575778	+	1.09555i
$796$	5.55109	+	21.8489i	0.196753	+	0.774412i
$797$	20.3358	+	20.3358i	0.720332	+	0.720332i	0.968673	−	0.248341i	$-0.0798852\pi$
$797$	20.3358	+	20.3358i	0.720332	+	0.720332i	−0.248341	+	0.968673i	$0.579885\pi$
$798$	15.0717	−	7.12503i	0.533533	−	0.252223i
$799$			13.4211i			0.474803i
$800$	10.2470	+	26.3628i	0.362287	+	0.932066i
$801$	20.3646	−	11.7575i	0.719546	−	0.415430i
$802$	17.3933	+	13.5268i	0.614177	+	0.477647i
$803$	0.829000	+	3.09387i	0.0292548	+	0.109180i
$804$	−1.87815	−	1.92761i	−0.0662372	−	0.0679816i
$805$	14.3686	+	21.7288i	0.506427	+	0.765840i
$806$	−67.9685	−	28.6723i	−2.39409	−	1.00994i
$807$	56.8605	−	15.2357i	2.00158	−	0.536323i
$808$	−22.0455	+	2.46621i	−0.775557	+	0.0867610i
$809$	−22.9926	+	13.2748i	−0.808376	+	0.466716i	−0.846391	−	0.532561i	$-0.821230\pi$
$809$	−22.9926	+	13.2748i	−0.808376	+	0.466716i	0.0380158	+	0.999277i	$0.487896\pi$
$810$	11.9768	−	15.5683i	0.420821	−	0.547016i
$811$	−0.526629			−0.0184924			−0.00924622	−	0.999957i	$-0.502943\pi$
$811$	−0.526629			−0.0184924			−0.00924622	+	0.999957i	$0.502943\pi$
$812$	−2.77656	−	1.44972i	−0.0974381	−	0.0508750i
$813$	41.4035	+	41.4035i	1.45208	+	1.45208i
$814$	8.82620	−	6.68191i	0.309358	−	0.234201i
$815$	16.2063	−	16.3775i	0.567680	−	0.573679i
$816$	−24.0844	−	44.3381i	−0.843124	−	1.55214i
$817$	−3.46313	−	12.9246i	−0.121160	−	0.452173i
$818$	44.9984	−	18.2973i	1.57333	−	0.639750i
$819$	−85.7740	+	4.75699i	−2.99719	+	0.166223i
$820$	−4.43435	−	17.0768i	−0.154854	−	0.596349i
$821$	−0.885087	−	0.511005i	−0.0308897	−	0.0178342i	0.484476	−	0.874805i	$-0.339010\pi$
$821$	−0.885087	−	0.511005i	−0.0308897	−	0.0178342i	−0.515365	+	0.856971i	$0.672344\pi$
$822$	−37.4311	−	29.1102i	−1.30556	−	1.01534i
$823$	8.03333	+	2.15252i	0.280024	+	0.0750323i	0.396098	−	0.918208i	$-0.370364\pi$
$823$	8.03333	+	2.15252i	0.280024	+	0.0750323i	−0.116074	+	0.993241i	$0.537031\pi$
$824$	−2.79889	+	18.4699i	−0.0975039	+	0.643431i
$825$	10.2587	−	39.9615i	0.357162	−	1.39128i
$826$	−4.69351	−	25.8215i	−0.163308	−	0.898444i
$827$	17.0466	−	17.0466i	0.592768	−	0.592768i	−0.345610	−	0.938378i	$-0.612328\pi$
$827$	17.0466	−	17.0466i	0.592768	−	0.592768i	0.938378	+	0.345610i	$0.112328\pi$
$828$	−25.5653	+	42.9807i	−0.888456	+	1.49368i
$829$	37.4094	−	21.5984i	1.29928	−	0.750142i	0.319003	−	0.947754i	$-0.396652\pi$
$829$	37.4094	−	21.5984i	1.29928	−	0.750142i	0.980280	+	0.197612i	$0.0633186\pi$
$830$	34.4356	+	14.3138i	1.19528	+	0.496840i
$831$	−28.7886	−	16.6211i	−0.998665	−	0.576580i
$832$	45.7073	+	1.78291i	1.58462	+	0.0618111i
$833$	−23.4080	−	18.7207i	−0.811038	−	0.648633i
$834$	32.6453	+	13.7713i	1.13041	+	0.476861i
$835$	3.33178	−	12.7010i	0.115301	−	0.439536i
$836$	8.15449	+	2.29897i	0.282029	+	0.0795117i
$837$	69.5382	+	18.6327i	2.40359	+	0.644040i
$838$	36.6043	+	5.06123i	1.26447	+	0.174837i
$839$	22.5117			0.777191			0.388596	−	0.921408i	$-0.372960\pi$
$839$	22.5117			0.777191			0.388596	+	0.921408i	$0.372960\pi$
$840$	−16.9743	+	46.2807i	−0.585669	+	1.59684i
$841$	−28.6496			−0.987918
$842$	−40.2924	−	5.57118i	−1.38857	−	0.191995i
$843$	91.6277	+	24.5516i	3.15583	+	0.845601i
$844$	−10.7027	+	37.9625i	−0.368401	+	1.30672i
$845$	22.2173	+	38.0187i	0.764299	+	1.30788i
$846$	23.1926	+	9.78372i	0.797377	+	0.336371i
$847$	−5.56609	+	6.21973i	−0.191253	+	0.213712i
$848$	13.6036	−	12.9142i	0.467149	−	0.443475i
$849$	−18.4321	−	10.6418i	−0.632588	−	0.365225i
$850$	−18.5281	−	23.9466i	−0.635508	−	0.821363i
$851$	−10.6571	+	6.15290i	−0.365322	+	0.210919i
$852$	15.8635	+	9.43576i	0.543474	+	0.323264i
$853$	−29.5882	+	29.5882i	−1.01308	+	1.01308i	−0.0131684	+	0.999913i	$0.504192\pi$
$853$	−29.5882	+	29.5882i	−1.01308	+	1.01308i	−0.999913	+	0.0131684i	$0.995808\pi$
$854$	5.79386	+	6.83139i	0.198262	+	0.233765i
$855$	16.6818	+	9.51473i	0.570507	+	0.325397i
$856$	−39.7806	−	6.02825i	−1.35967	−	0.206041i
$857$	−6.48971	−	1.73891i	−0.221684	−	0.0594001i	0.146267	−	0.989245i	$-0.453274\pi$
$857$	−6.48971	−	1.73891i	−0.221684	−	0.0594001i	−0.367951	+	0.929845i	$0.619941\pi$
$858$	−52.6694	−	40.9611i	−1.79810	−	1.39839i
$859$	28.2836	+	16.3296i	0.965025	+	0.557157i	0.897716	−	0.440575i	$-0.145225\pi$
$859$	28.2836	+	16.3296i	0.965025	+	0.557157i	0.0673088	+	0.997732i	$0.478559\pi$
$860$	34.1106	+	20.0474i	1.16316	+	0.683609i
$861$	13.8765	−	27.4403i	0.472911	−	0.935164i
$862$	−38.9830	+	15.8513i	−1.32777	+	0.539898i
$863$	2.08394	+	7.77737i	0.0709381	+	0.264745i	0.992282	−	0.124005i	$-0.0395738\pi$
$863$	2.08394	+	7.77737i	0.0709381	+	0.264745i	−0.921343	+	0.388749i	$0.872907\pi$
$864$	−44.4240	+	4.38594i	−1.51133	+	0.149213i
$865$	−18.1249	−	17.9354i	−0.616265	−	0.609821i
$866$	−39.9672	+	30.2574i	−1.35814	+	1.02819i
$867$	2.78016	+	2.78016i	0.0944193	+	0.0944193i
$868$	−48.2302	+	2.04653i	−1.63704	+	0.0694636i
$869$	9.84678			0.334029
$870$	−0.712990	−	5.46818i	−0.0241726	−	0.185389i
$871$	−2.26184	+	1.30588i	−0.0766396	+	0.0442479i
$872$	−1.66528	+	0.186294i	−0.0563936	+	0.00630871i
$873$	−52.9186	+	14.1795i	−1.79102	+	0.479903i
$874$	−8.67749	−	3.66057i	−0.293520	−	0.123821i
$875$	−5.60482	+	29.0446i	−0.189477	+	0.981885i
$876$	4.82578	−	4.70195i	0.163048	−	0.158864i
$877$	8.39107	+	31.3159i	0.283346	+	1.05746i	0.950039	+	0.312130i	$0.101042\pi$
$877$	8.39107	+	31.3159i	0.283346	+	1.05746i	−0.666693	+	0.745332i	$0.732291\pi$
$878$	−13.8727	−	10.7889i	−0.468182	−	0.364107i
$879$	21.2739	−	12.2825i	0.717551	−	0.414278i
$880$	−21.9510	+	12.0736i	−0.739970	+	0.407002i
$881$		−	3.42990i		−	0.115556i	−0.998329	−	0.0577782i	$-0.981598\pi$
$881$		−	3.42990i		−	0.115556i	0.998329	−	0.0577782i	$-0.0184016\pi$
$882$	−49.4147	+	26.8037i	−1.66388	+	0.902526i
$883$	−5.22277	−	5.22277i	−0.175760	−	0.175760i	0.613744	−	0.789505i	$-0.289663\pi$
$883$	−5.22277	−	5.22277i	−0.175760	−	0.175760i	−0.789505	+	0.613744i	$0.789663\pi$
$884$	−47.4579	+	12.0575i	−1.59618	+	0.405539i
$885$	32.4996	−	32.8430i	1.09246	−	1.10401i
$886$	3.59117	+	28.7184i	0.120648	+	0.964813i
$887$	10.7264	+	40.0314i	0.360157	+	1.34412i	0.873869	+	0.486161i	$0.161603\pi$
$887$	10.7264	+	40.0314i	0.360157	+	1.34412i	−0.513712	+	0.857962i	$0.671730\pi$
$888$	−21.3364	−	9.32913i	−0.716002	−	0.313065i
$889$	10.8670	+	16.6227i	0.364467	+	0.557509i
$890$	−12.9806	−	1.72533i	−0.435110	−	0.0578333i
$891$	15.0669	+	8.69890i	0.504761	+	0.291424i
$892$	−23.5846	−	42.1041i	−0.789672	−	1.40975i
$893$	−1.22692	+	4.57894i	−0.0410575	+	0.153228i
$894$	−26.4375	−	34.9215i	−0.884201	−	1.16795i
$895$	25.8430	+	14.7399i	0.863837	+	0.492701i
$896$	27.5398	−	11.7287i	0.920039	−	0.391827i
$897$	52.4457	+	52.4457i	1.75111	+	1.75111i
$898$	14.1787	+	1.96047i	0.473150	+	0.0654218i
$899$	4.67669	−	2.70009i	0.155976	−	0.0900529i
$900$	−54.8882	+	14.5612i	−1.82961	+	0.485373i
$901$	−10.0396	+	17.3890i	−0.334466	+	0.579312i
$902$	14.4762	−	5.88632i	0.482004	−	0.195993i
$903$	21.5083	+	65.5167i	0.715751	+	2.18026i
$904$	1.85430	+	4.73572i	0.0616730	+	0.157508i
$905$	35.0991	−	20.5112i	1.16673	−	0.681815i
$906$	−0.680156	+	0.0850519i	−0.0225967	+	0.00282566i
$907$	−46.4173	−	12.4375i	−1.54126	−	0.412979i	−0.614587	−	0.788849i	$-0.710677\pi$
$907$	−46.4173	−	12.4375i	−1.54126	−	0.412979i	−0.926673	+	0.375869i	$0.877344\pi$
$908$	26.4283	−	44.4314i	0.877053	−	1.47451i
$909$		−	44.5372i		−	1.47721i
$910$	39.4734	+	27.0248i	1.30853	+	0.895864i
$911$	14.6246			0.484534			0.242267	−	0.970210i	$-0.422109\pi$
$911$	14.6246			0.484534			0.242267	+	0.970210i	$0.422109\pi$
$912$	−4.16374	−	17.3289i	−0.137875	−	0.573816i
$913$	−8.54901	+	31.9053i	−0.282931	+	1.05591i
$914$	−2.81850	−	22.5394i	−0.0932277	−	0.745538i
$915$	−4.00149	+	15.2540i	−0.132285	+	0.504281i
$916$	−33.2211	−	34.0960i	−1.09766	−	1.12656i
$917$	−0.0570311	+	0.0637284i	−0.00188333	+	0.00210450i
$918$	44.2663	−	17.9996i	1.46101	−	0.594076i
$919$	−13.9719	−	8.06669i	−0.460891	−	0.266096i	0.251528	−	0.967850i	$-0.419067\pi$
$919$	−13.9719	−	8.06669i	−0.460891	−	0.266096i	−0.712419	+	0.701754i	$0.752400\pi$
$920$	25.8778	−	10.2898i	0.853166	−	0.339244i
$921$	16.7130	+	28.9478i	0.550713	+	0.953863i
$922$	−3.67242	+	26.5600i	−0.120945	+	0.874706i
$923$	12.6657	−	12.6657i	0.416897	−	0.416897i
$924$	−42.6160	−	9.50258i	−1.40196	−	0.312612i
$925$	−13.5347	−	3.47455i	−0.445018	−	0.114243i
$926$	4.46498	+	5.89783i	0.146728	+	0.193815i
$927$	−36.2278	−	9.70722i	−1.18988	−	0.318827i
$928$	−2.12366	+	2.58893i	−0.0697126	+	0.0849859i
$929$	23.8706	−	41.3450i	0.783168	−	1.35649i	−0.146920	−	0.989148i	$-0.546936\pi$
$929$	23.8706	−	41.3450i	0.783168	−	1.35649i	0.930088	−	0.367338i	$-0.119731\pi$
$930$	−51.6536	−	67.4898i	−1.69379	−	2.21308i
$931$	−6.27484	−	8.52696i	−0.205649	−	0.279460i
$932$	0.591521	−	45.5140i	0.0193759	−	1.49086i
$933$	−57.8441	+	15.4993i	−1.89373	+	0.507424i
$934$	0.846168	+	6.76677i	0.0276875	+	0.221415i
$935$	18.8632	−	19.0625i	0.616893	−	0.623411i
$936$	−13.7597	+	90.8006i	−0.449750	+	2.96791i
$937$	−13.9595	+	13.9595i	−0.456036	+	0.456036i	−0.897352	−	0.441316i	$-0.854512\pi$
$937$	−13.9595	+	13.9595i	−0.456036	+	0.456036i	0.441316	+	0.897352i	$0.354512\pi$
$938$	−0.972911	+	1.40517i	−0.0317667	+	0.0458804i
$939$	−53.3816			−1.74204
$940$	−6.91450	−	12.1933i	−0.225526	−	0.397700i
$941$	5.35084	+	9.26792i	0.174432	+	0.302126i	0.939965	−	0.341272i	$-0.110858\pi$
$941$	5.35084	+	9.26792i	0.174432	+	0.302126i	−0.765532	+	0.643397i	$0.777524\pi$
$942$	14.7276	+	11.4537i	0.479852	+	0.373182i
$943$	−16.7795	+	4.49604i	−0.546414	+	0.146411i
$944$	−28.0471	−	0.729151i	−0.912857	−	0.0237318i
$945$	−41.7716	−	20.8489i	−1.35883	−	0.678214i
$946$	−13.6211	+	32.2891i	−0.442859	+	1.04981i
$947$	10.6657	+	39.8048i	0.346588	+	1.29348i	0.890746	+	0.454501i	$0.150182\pi$
$947$	10.6657	+	39.8048i	0.346588	+	1.29348i	−0.544159	+	0.838982i	$0.683151\pi$
$948$	−10.1226	−	18.0712i	−0.328767	−	0.586926i
$949$	−3.26927	−	5.66254i	−0.106125	−	0.183814i
$950$	−4.13218	−	9.86382i	−0.134066	−	0.320025i
$951$		−	43.9381i		−	1.42479i
$952$	−24.7045	+	20.4065i	−0.800679	+	0.661378i
$953$	−9.11679	+	9.11679i	−0.295322	+	0.295322i	−0.839178	−	0.543856i	$-0.816964\pi$
$953$	−9.11679	+	9.11679i	−0.295322	+	0.295322i	0.543856	+	0.839178i	$0.316964\pi$
$954$	22.7309	+	30.0254i	0.735939	+	0.972108i
$955$	−0.0542226	−	10.3171i	−0.00175460	−	0.333852i
$956$	6.97377	−	24.7360i	0.225548	−	0.800021i
$957$	4.71793	−	1.26416i	0.152509	−	0.0408646i
$958$	3.79013	−	1.54115i	0.122454	−	0.0497922i
$959$	−13.5893	+	26.8723i	−0.438820	+	0.867751i
$960$	44.7240	+	27.8737i	1.44346	+	0.899619i
$961$	26.1133	−	45.2295i	0.842363	−	1.45902i
$962$	−13.8733	+	17.8388i	−0.447292	+	0.575145i
$963$	20.9074	−	78.0275i	0.673732	−	2.51440i
$964$	53.5389	−	13.6025i	1.72437	−	0.438108i
$965$	−16.8312	+	4.60484i	−0.541814	+	0.148235i
$966$	45.6957	+	16.3596i	1.47024	+	0.526361i
$967$	4.70286	+	4.70286i	0.151234	+	0.151234i	0.778669	−	0.627435i	$-0.215895\pi$
$967$	4.70286	+	4.70286i	0.151234	+	0.151234i	−0.627435	+	0.778669i	$0.715895\pi$
$968$	5.29292	+	7.18358i	0.170121	+	0.230889i
$969$	9.53902	+	16.5221i	0.306438	+	0.530765i
$970$	28.1714	+	11.7100i	0.904529	+	0.375985i
$971$	16.3460	−	28.3121i	0.524568	−	0.908578i	−0.475023	−	0.879973i	$-0.657560\pi$
$971$	16.3460	−	28.3121i	0.524568	−	0.908578i	0.999591	−	0.0286047i	$-0.00910639\pi$
$972$	−0.139709	+	10.7498i	−0.00448116	+	0.344798i
$973$	4.61112	−	22.0229i	0.147826	−	0.706022i
$974$	21.5087	+	9.07337i	0.689182	+	0.290730i
$975$	0.885249	+	84.2168i	0.0283506	+	2.69710i
$976$	8.41466	−	4.57084i	0.269347	−	0.146309i
$977$	−12.0987	+	45.1528i	−0.387071	+	1.44457i	0.447806	+	0.894131i	$0.352205\pi$
$977$	−12.0987	+	45.1528i	−0.387071	+	1.44457i	−0.834877	+	0.550437i	$0.814461\pi$
$978$	5.87978	−	42.5243i	0.188015	−	1.35978i
$979$		−	11.5985i		−	0.370688i
$980$	30.9114	+	4.94832i	0.987428	+	0.158068i
$981$		−	3.36427i		−	0.107413i
$982$	−60.8587	−	8.41485i	−1.94208	−	0.268529i
$983$	4.97007	−	18.5486i	0.158521	−	0.591607i	−0.840257	−	0.542188i	$-0.817596\pi$
$983$	4.97007	−	18.5486i	0.158521	−	0.591607i	0.998778	−	0.0494195i	$-0.0157371\pi$
$984$	−25.6845	−	20.5161i	−0.818793	−	0.654030i
$985$	−1.75310	+	6.68295i	−0.0558584	+	0.212937i
$986$	1.39322	−	3.30266i	0.0443690	−	0.105178i
$987$	5.00658	−	23.9117i	0.159361	−	0.761117i
$988$	−17.2938	−	0.224758i	−0.550189	−	0.00715051i
$989$	19.4780	−	33.7368i	0.619363	−	1.07277i
$990$	−19.1905	−	46.4933i	−0.609914	−	1.47765i
$991$	11.6001	+	20.0920i	0.368489	+	0.638242i	0.989330	−	0.145695i	$-0.0465417\pi$
$991$	11.6001	+	20.0920i	0.368489	+	0.638242i	−0.620840	+	0.783937i	$0.713208\pi$
$992$	−8.39450	+	50.9194i	−0.266526	+	1.61669i
$993$	19.3150	+	19.3150i	0.612943	+	0.612943i
$994$	3.95087	−	11.0356i	0.125314	−	0.350027i
$995$	21.8931	+	12.4870i	0.694058	+	0.395866i
$996$	67.3426	−	17.1096i	2.13383	−	0.542138i
$997$	5.68380	−	21.2122i	0.180008	−	0.671798i	−0.815636	−	0.578565i	$-0.803613\pi$
$997$	5.68380	−	21.2122i	0.180008	−	0.671798i	0.995644	−	0.0932336i	$-0.0297204\pi$
$998$	10.1870	+	7.92247i	0.322464	+	0.250781i
$999$	11.0270	−	19.0993i	0.348878	−	0.604274i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.e.117.21	yes	160
5.3	odd	4	inner	280.2.bv.e.173.40	yes	160
7.3	odd	6	inner	280.2.bv.e.157.9	yes	160
8.5	even	2	inner	280.2.bv.e.117.12	✓	160
35.3	even	12	inner	280.2.bv.e.213.12	yes	160
40.13	odd	4	inner	280.2.bv.e.173.9	yes	160
56.45	odd	6	inner	280.2.bv.e.157.40	yes	160
280.213	even	12	inner	280.2.bv.e.213.21	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.e.117.12	✓	160	8.5	even	2	inner
280.2.bv.e.117.21	yes	160	1.1	even	1	trivial
280.2.bv.e.157.9	yes	160	7.3	odd	6	inner
280.2.bv.e.157.40	yes	160	56.45	odd	6	inner
280.2.bv.e.173.9	yes	160	40.13	odd	4	inner
280.2.bv.e.173.40	yes	160	5.3	odd	4	inner
280.2.bv.e.213.12	yes	160	35.3	even	12	inner
280.2.bv.e.213.21	yes	160	280.213	even	12	inner

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.193699 + 1.40089i) q^{2} +(2.84558 + 0.762471i) q^{3} +(-1.92496 - 0.542700i) q^{4} +(-1.93059 + 1.12820i) q^{5} +(-1.61932 + 3.83864i) q^{6} +(2.58960 + 0.542205i) q^{7} +(1.13312 - 2.59153i) q^{8} +(4.91789 + 2.83934i) q^{9} +O(q^{10})\)	\(q+(-0.193699 + 1.40089i) q^{2} +(2.84558 + 0.762471i) q^{3} +(-1.92496 - 0.542700i) q^{4} +(-1.93059 + 1.12820i) q^{5} +(-1.61932 + 3.83864i) q^{6} +(2.58960 + 0.542205i) q^{7} +(1.13312 - 2.59153i) q^{8} +(4.91789 + 2.83934i) q^{9} +(-1.20652 - 2.92306i) q^{10} +(2.42569 - 1.40047i) q^{11} +(-5.06384 - 3.01202i) q^{12} +(-4.04307 + 4.04307i) q^{13} +(-1.26117 + 3.52271i) q^{14} +(-6.35386 + 1.73835i) q^{15} +(3.41095 + 2.08935i) q^{16} +(-4.13599 - 1.10824i) q^{17} +(-4.93018 + 6.33942i) q^{18} +(-1.30979 - 0.756207i) q^{19} +(4.32858 - 1.12400i) q^{20} +(6.95549 + 3.51738i) q^{21} +(1.49205 + 3.66938i) q^{22} +(-1.13964 - 4.25320i) q^{23} +(5.20036 - 6.51044i) q^{24} +(2.45435 - 4.35617i) q^{25} +(-4.88074 - 6.44701i) q^{26} +(5.57999 + 5.57999i) q^{27} +(-4.69062 - 2.44910i) q^{28} +0.591939 q^{29} +(-1.20450 - 9.23775i) q^{30} +(7.90063 - 4.56143i) q^{31} +(-3.58764 + 4.37365i) q^{32} +(7.97030 - 2.13563i) q^{33} +(2.35365 - 5.57939i) q^{34} +(-5.61116 + 1.87480i) q^{35} +(-7.92583 - 8.13456i) q^{36} +(-0.723325 - 2.69949i) q^{37} +(1.31306 - 1.68839i) q^{38} +(-14.5876 + 8.42215i) q^{39} +(0.736161 + 6.28157i) q^{40} -3.94514i q^{41} +(-6.27472 + 9.06253i) q^{42} +(6.25585 + 6.25585i) q^{43} +(-5.42939 + 1.37943i) q^{44} +(-12.6978 + 0.0667346i) q^{45} +(6.17900 - 0.772669i) q^{46} +(-0.811235 - 3.02757i) q^{47} +(8.11307 + 8.54617i) q^{48} +(6.41203 + 2.80819i) q^{49} +(5.62709 + 4.28204i) q^{50} +(-10.9243 - 6.30715i) q^{51} +(9.97692 - 5.58858i) q^{52} +(1.21368 - 4.52952i) q^{53} +(-8.89777 + 6.73610i) q^{54} +(-3.10300 + 5.44038i) q^{55} +(4.33947 - 6.09664i) q^{56} +(-3.15053 - 3.15053i) q^{57} +(-0.114658 + 0.829238i) q^{58} +(-6.07444 + 3.50708i) q^{59} +(13.1743 + 0.101974i) q^{60} +(1.19699 - 2.07326i) q^{61} +(4.85970 + 11.9514i) q^{62} +(11.1958 + 10.0193i) q^{63} +(-5.43207 - 5.87304i) q^{64} +(3.24413 - 12.3669i) q^{65} +(1.44794 + 11.5791i) q^{66} +(0.441215 + 0.118223i) q^{67} +(7.36019 + 4.37791i) q^{68} -12.9718i q^{69} +(-1.53950 - 8.22374i) q^{70} -3.13270 q^{71} +(12.9308 - 9.52753i) q^{72} +(-0.295972 + 1.10458i) q^{73} +(3.92178 - 0.490409i) q^{74} +(10.3055 - 10.5244i) q^{75} +(2.11090 + 2.16649i) q^{76} +(7.04089 - 2.31143i) q^{77} +(-8.97287 - 22.0669i) q^{78} +(3.04453 + 1.75776i) q^{79} +(-8.94235 - 0.185454i) q^{80} +(3.10571 + 5.37924i) q^{81} +(5.52668 + 0.764168i) q^{82} +(-8.33875 + 8.33875i) q^{83} +(-11.4802 - 10.5456i) q^{84} +(9.23521 - 2.52666i) q^{85} +(-9.97548 + 7.55198i) q^{86} +(1.68441 + 0.451336i) q^{87} +(-0.880763 - 7.87314i) q^{88} +(2.07046 - 3.58614i) q^{89} +(2.36605 - 17.8010i) q^{90} +(-12.6621 + 8.27774i) q^{91} +(-0.114444 + 8.80573i) q^{92} +(25.9598 - 6.95591i) q^{93} +(4.39842 - 0.550011i) q^{94} +(3.38182 - 0.0177736i) q^{95} +(-13.5437 + 9.71011i) q^{96} +(-6.82184 + 6.82184i) q^{97} +(-5.17595 + 8.43857i) q^{98} +15.9057 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Introduction

L-functions

Modular forms

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