LMFDB - Embedded newform 280.2.bv.e.213.21

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			213.21
Character	$\chi$	$=$	280.213
Dual form			280.2.bv.e.117.21

$q$-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 $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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	0.685285	−	0.728275i	$-0.259678\pi$
$3$	2.84558	−	0.762471i	1.64290	−	0.440213i	0.957612	+	0.288063i	$0.0930111\pi$
$4$	−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	0.818924	−	0.573902i	$-0.194571\pi$
$11$	2.42569	+	1.40047i	0.731372	+	0.422258i	−0.0875521	+	0.996160i	$0.527904\pi$
$12$	−5.06384	+	3.01202i	−1.46180	+	0.869496i
$13$	−4.04307	−	4.04307i	−1.12134	−	1.12134i	−0.991539	−	0.129805i	$-0.958565\pi$
$13$	−4.04307	−	4.04307i	−1.12134	−	1.12134i	−0.129805	−	0.991539i	$-0.541435\pi$
$14$	−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	−0.722754	−	0.691105i	$-0.757124\pi$
$17$	−4.13599	+	1.10824i	−1.00313	+	0.268787i	−0.280371	+	0.959892i	$0.590458\pi$
$18$	−4.93018	−	6.33942i	−1.16206	−	1.49422i
$19$	−1.30979	+	0.756207i	−0.300486	+	0.173486i	−0.642661	−	0.766150i	$-0.722170\pi$
$19$	−1.30979	+	0.756207i	−0.300486	+	0.173486i	0.342175	+	0.939636i	$0.388836\pi$
$20$	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	0.739313	+	0.673362i	$0.235150\pi$
$23$	−1.13964	+	4.25320i	−0.237632	+	0.886854i	−0.976945	+	0.213492i	$0.931516\pi$
$24$	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	0.996211	−	0.0869739i	$-0.0277197\pi$
$31$	7.90063	+	4.56143i	1.41899	+	0.819257i	0.422784	+	0.906231i	$0.361053\pi$
$32$	−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	−0.999550	−	0.0300007i	$-0.990449\pi$
$37$	−0.723325	+	2.69949i	−0.118914	+	0.443793i	0.880636	+	0.473794i	$0.157116\pi$
$38$	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	$0.0996809\pi$
$41$			3.94514i			0.616127i	−0.951366	+	0.308063i	$0.900319\pi$
$42$	−6.27472	−	9.06253i	−0.968210	−	1.39838i
$43$	6.25585	−	6.25585i	0.954008	−	0.954008i	−0.0449797	−	0.998988i	$-0.514322\pi$
$43$	6.25585	−	6.25585i	0.954008	−	0.954008i	0.998988	+	0.0449797i	$0.0143223\pi$
$44$	−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	−0.999514	−	0.0311575i	$-0.990081\pi$
$47$	−0.811235	+	3.02757i	−0.118331	+	0.441617i	0.881184	+	0.472774i	$0.156747\pi$
$48$	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	0.997816	+	0.0660600i	$0.0210429\pi$
$53$	1.21368	+	4.52952i	0.166712	+	0.622178i	−0.831104	+	0.556117i	$0.812290\pi$
$54$	−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	0.0494285	−	0.998778i	$-0.484260\pi$
$59$	−6.07444	−	3.50708i	−0.790824	−	0.456582i	−0.840253	+	0.542195i	$0.817593\pi$
$60$	13.1743	−	0.101974i	1.70080	−	0.0131647i
$61$	1.19699	+	2.07326i	0.153260	+	0.265453i	0.932424	−	0.361366i	$-0.117690\pi$
$61$	1.19699	+	2.07326i	0.153260	+	0.265453i	−0.779164	+	0.626820i	$0.784356\pi$
$62$	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	−0.231767	−	0.972771i	$-0.574451\pi$
$67$	0.441215	−	0.118223i	0.0539029	−	0.0144432i	0.285670	+	0.958328i	$0.407784\pi$
$68$	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	0.946440	−	0.322880i	$-0.104651\pi$
$73$	−0.295972	−	1.10458i	−0.0346409	−	0.129282i	−0.981081	+	0.193598i	$0.937984\pi$
$74$	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	−0.318856	−	0.947803i	$-0.603299\pi$
$79$	3.04453	−	1.75776i	0.342537	−	0.197764i	0.661393	+	0.750039i	$0.269965\pi$
$80$	−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	0.0813861	−	0.996683i	$-0.474065\pi$
$83$	−8.33875	−	8.33875i	−0.915297	−	0.915297i	−0.996683	+	0.0813861i	$0.974065\pi$
$84$	−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	0.954645	−	0.297745i	$-0.0962345\pi$
$89$	2.07046	+	3.58614i	0.219468	+	0.380130i	−0.735177	+	0.677875i	$0.762901\pi$
$90$	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	0.270162	−	0.962815i	$-0.412923\pi$
$97$	−6.82184	−	6.82184i	−0.692653	−	0.692653i	−0.962815	+	0.270162i	$0.912923\pi$
$98$	−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	−0.992475	−	0.122445i	$-0.960927\pi$
$101$	−3.92144	+	6.79212i	−0.390197	+	0.675842i	0.602278	+	0.798286i	$0.294260\pi$
$102$	10.9516	+	14.0820i	1.08437	+	1.39433i
$103$	−6.37962	−	1.70941i	−0.628602	−	0.168433i	−0.0695668	−	0.997577i	$-0.522162\pi$
$103$	−6.37962	−	1.70941i	−0.628602	−	0.168433i	−0.559035	+	0.829144i	$0.688828\pi$
$104$	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	0.523388	+	0.852095i	$0.324668\pi$
$107$	−3.68173	+	13.7404i	−0.355927	+	1.32834i	−0.879314	+	0.476242i	$0.841999\pi$
$108$	−7.71301	+	13.7695i	−0.742185	+	1.32497i
$109$	−0.296219	+	0.513067i	−0.0283727	+	0.0491429i	−0.879863	−	0.475227i	$-0.842366\pi$
$109$	−0.296219	+	0.513067i	−0.0283727	+	0.0491429i	0.851490	+	0.524370i	$0.175699\pi$
$110$	−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	0.644769	−	0.764377i	$-0.276954\pi$
$113$	−1.27145	−	1.27145i	−0.119608	−	0.119608i	−0.764377	+	0.644769i	$0.776954\pi$
$114$	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	−0.431249	−	0.902233i	$-0.641927\pi$
$127$	5.30772	−	5.30772i	0.470984	−	0.470984i	0.902233	+	0.431249i	$0.141927\pi$
$128$	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	0.865319	−	0.501222i	$-0.167116\pi$
$131$	−0.0161620	−	0.0279933i	−0.00141208	−	0.00244579i	−0.866731	+	0.498777i	$0.833783\pi$
$132$	−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	−0.969910	−	0.243463i	$-0.921717\pi$
$137$	−2.94578	−	10.9938i	−0.251675	−	0.939263i	0.718235	−	0.695800i	$-0.244950\pi$
$138$	18.1720	−	2.51262i	1.54690	−	0.213888i
$139$			8.50438i			0.721332i	0.932695	+	0.360666i	$0.117451\pi$
$139$			8.50438i			0.721332i	−0.932695	+	0.360666i	$0.882549\pi$
$140$	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	0.566292	−	0.824204i	$-0.308377\pi$
$149$	−5.25658	−	9.10466i	−0.430636	−	0.745883i	−0.996928	+	0.0783215i	$0.975044\pi$
$150$	12.7474	−	16.4754i	1.04082	−	1.34521i
$151$	0.0822633	−	0.142484i	0.00669449	−	0.0115952i	−0.862659	−	0.505786i	$-0.831202\pi$
$151$	0.0822633	−	0.142484i	0.00669449	−	0.0115952i	0.869353	+	0.494191i	$0.164536\pi$
$152$	−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	0.996629	−	0.0820420i	$-0.0261442\pi$
$157$	1.15905	+	4.32562i	0.0925019	+	0.345222i	−0.904127	+	0.427264i	$0.859478\pi$
$158$	−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	−0.152977	−	0.988230i	$-0.548886\pi$
$163$	−9.95293	−	2.66688i	−0.779574	−	0.208886i	−0.626597	+	0.779344i	$0.715553\pi$
$164$	−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	0.527957	−	0.849271i	$-0.322958\pi$
$167$	−4.15230	−	4.15230i	−0.321315	−	0.321315i	−0.849271	+	0.527957i	$0.822958\pi$
$168$	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	−0.758254	−	0.651959i	$-0.773948\pi$
$173$	2.95142	−	11.0149i	0.224393	−	0.837444i	0.982647	−	0.185486i	$-0.0593858\pi$
$174$	−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	−0.999995	−	0.00319028i	$-0.998984\pi$
$179$	−6.65255	+	11.5225i	−0.497235	+	0.861236i	0.502760	+	0.864426i	$0.332318\pi$
$180$	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	0.770410	−	0.637549i	$-0.220052\pi$
$191$	−2.30699	−	3.99583i	−0.166928	−	0.289128i	−0.937338	+	0.348420i	$0.886718\pi$
$192$	−10.9794	+	20.8540i	−0.792367	+	1.50501i
$193$	7.53784	−	2.01976i	0.542586	−	0.145385i	0.0228917	−	0.999738i	$-0.492713\pi$
$193$	7.53784	−	2.01976i	0.542586	−	0.145385i	0.519694	+	0.854353i	$0.326046\pi$
$194$	−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	0.780642	−	0.624979i	$-0.214892\pi$
$197$	2.18484	+	2.18484i	0.155663	+	0.155663i	−0.624979	+	0.780642i	$0.714892\pi$
$198$	−3.08091	−	22.2820i	−0.218950	−	1.58351i
$199$	−5.63575	+	9.76141i	−0.399508	+	0.691968i	−0.993665	−	0.112381i	$-0.964152\pi$
$199$	−5.63575	+	9.76141i	−0.399508	+	0.691968i	0.594157	+	0.804349i	$0.297486\pi$
$200$	−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	$0.237513\pi$
$211$			19.7212i			1.35766i	−0.734295	+	0.678830i	$0.762487\pi$
$212$	−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	0.154603	−	0.987977i	$-0.450590\pi$
$223$	17.0624	−	17.0624i	1.14258	−	1.14258i	0.987977	−	0.154603i	$-0.0494098\pi$
$224$	−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	−0.718462	−	0.695566i	$-0.755154\pi$
$227$	−6.69012	−	24.9679i	−0.444039	−	1.65717i	0.274424	−	0.961609i	$-0.411513\pi$
$228$	4.35485	−	7.77443i	0.288407	−	0.514874i
$229$	20.6133	−	11.9011i	1.36216	−	0.786446i	0.372253	−	0.928131i	$-0.378585\pi$
$229$	20.6133	−	11.9011i	1.36216	−	0.786446i	0.989912	+	0.141685i	$0.0452521\pi$
$230$	−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	−0.450855	−	0.892597i	$-0.648881\pi$
$233$	5.89044	−	21.9834i	0.385896	−	1.44018i	0.836750	−	0.547585i	$-0.184453\pi$
$234$	−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	$-0.863570\pi$
$239$		−	12.8502i		−	0.831207i	0.909546	−	0.415604i	$-0.136430\pi$
$240$	−25.3048	+	7.34600i	−1.63342	+	0.474183i
$241$	−23.9196	−	13.8100i	−1.54080	−	0.889579i	−0.998789	−	0.0492046i	$-0.984331\pi$
$241$	−23.9196	−	13.8100i	−1.54080	−	0.889579i	−0.542007	−	0.840374i	$-0.682335\pi$
$242$	−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	−0.775475	−	0.631379i	$-0.782489\pi$
$257$	3.39534	−	12.6716i	0.211795	−	0.790431i	0.987270	−	0.159053i	$-0.0508440\pi$
$258$	−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	−0.880039	−	0.474901i	$-0.842484\pi$
$263$	−22.7808	+	6.10410i	−1.40473	+	0.376395i	−0.524686	+	0.851296i	$0.675817\pi$
$264$	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	0.924073	−	0.382215i	$-0.124839\pi$
$269$	17.3050	+	9.99102i	1.05510	+	0.609163i	0.131028	+	0.991379i	$0.458172\pi$
$270$	9.57830	+	23.0431i	0.582917	+	1.40236i
$271$	17.2130	−	9.93791i	1.04561	−	0.603685i	0.124195	−	0.992258i	$-0.460365\pi$
$271$	17.2130	−	9.93791i	1.04561	−	0.603685i	0.921418	+	0.388573i	$0.127032\pi$
$272$	−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	−0.570938	−	0.820993i	$-0.693420\pi$
$277$	−10.8995	+	2.92051i	−0.654888	+	0.175477i	−0.0839499	+	0.996470i	$0.526754\pi$
$278$	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	−0.460196	−	0.887818i	$-0.652221\pi$
$283$	−6.97849	+	1.86988i	−0.414828	+	0.111153i	0.0453677	+	0.998970i	$0.485554\pi$
$284$	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	0.858042	−	0.513580i	$-0.171681\pi$
$293$	5.89623	+	5.89623i	0.344462	+	0.344462i	−0.513580	+	0.858042i	$0.671681\pi$
$294$	−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	−0.440063	−	0.897967i	$-0.645044\pi$
$307$	8.02311	−	8.02311i	0.457903	−	0.457903i	0.897967	+	0.440063i	$0.145044\pi$
$308$	−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	−0.0905193	−	0.995895i	$-0.528853\pi$
$311$	−17.6043	−	10.1639i	−0.998249	−	0.576339i	−0.907730	+	0.419555i	$0.862186\pi$
$312$	5.29673	−	47.3475i	0.299868	−	2.68053i
$313$	−17.5028	−	4.68987i	−0.989319	−	0.265087i	−0.272354	−	0.962197i	$-0.587802\pi$
$313$	−17.5028	−	4.68987i	−0.989319	−	0.265087i	−0.716964	+	0.697110i	$0.754469\pi$
$314$	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	0.768711	+	0.639597i	$0.220899\pi$
$317$	−3.86020	+	14.4065i	−0.216811	+	0.809148i	−0.985521	+	0.169551i	$0.945768\pi$
$318$	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	−0.262810	−	0.964847i	$-0.584649\pi$
$331$	8.02996	−	4.63610i	0.441367	−	0.254823i	0.704177	+	0.710024i	$0.251316\pi$
$332$	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	−0.941433	−	0.337199i	$-0.890520\pi$
$337$	−11.0923	+	11.0923i	−0.604234	+	0.604234i	0.337199	+	0.941433i	$0.390520\pi$
$338$	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	0.0800412	−	0.996792i	$-0.474495\pi$
$347$	12.0663	−	3.23316i	0.647755	−	0.173565i	0.567714	+	0.823226i	$0.307828\pi$
$348$	−2.99748	+	1.78293i	−0.160682	+	0.0955752i
$349$		−	16.1039i		−	0.862023i	−0.902346	−	0.431011i	$-0.858157\pi$
$349$		−	16.1039i		−	0.862023i	0.902346	−	0.431011i	$-0.141843\pi$
$350$	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	0.658311	+	0.752746i	$0.271271\pi$
$353$	8.72848	+	32.5751i	0.464570	+	1.73380i	−0.193741	+	0.981053i	$0.562062\pi$
$354$	−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	−0.233851	−	0.972272i	$-0.575133\pi$
$359$	9.30759	−	5.37374i	0.491236	−	0.283615i	0.725087	+	0.688657i	$0.241800\pi$
$360$	−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	−0.477301	−	0.878740i	$-0.658385\pi$
$367$	−8.64541	+	2.31653i	−0.451287	+	0.120922i	0.0260148	+	0.999662i	$0.491718\pi$
$368$	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	0.634325	−	0.773066i	$-0.281278\pi$
$373$	15.3952	+	4.12513i	0.797134	+	0.213591i	0.162809	+	0.986658i	$0.447945\pi$
$374$	−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	0.274292	−	0.961647i	$-0.411557\pi$
$383$	0.606916	+	0.162623i	0.0310120	+	0.00830963i	−0.243280	+	0.969956i	$0.578223\pi$
$384$	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	−0.407026	+	0.913417i	$0.633434\pi$
$389$	−19.6157	+	33.9754i	−0.994555	+	1.72262i	−0.587529	+	0.809203i	$0.699899\pi$
$390$	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	0.920780	−	0.390082i	$-0.127553\pi$
$397$	30.3487	+	8.13191i	1.52316	+	0.408129i	0.602378	+	0.798211i	$0.294220\pi$
$398$	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	0.992319	−	0.123709i	$-0.0394788\pi$
$401$	7.79021	+	13.4930i	0.389025	+	0.673810i	−0.603294	+	0.797519i	$0.706145\pi$
$402$	−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	0.0326989	+	0.999465i	$0.489590\pi$
$409$	−17.1743	+	29.7467i	−0.849213	+	1.47088i	−0.881912	+	0.471415i	$0.843744\pi$
$410$	−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	$0.220342\pi$
$419$			26.1294i			1.27650i	−0.769828	+	0.638252i	$0.779658\pi$
$420$	34.0610	−	7.40727i	1.66200	−	0.361438i
$421$		−	28.7621i		−	1.40178i	−0.713270	−	0.700889i	$-0.752787\pi$
$421$		−	28.7621i		−	1.40178i	0.713270	−	0.700889i	$-0.247213\pi$
$422$	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	−0.245645	−	0.969360i	$-0.579000\pi$
$431$	14.8784	−	25.7702i	0.716668	−	1.24131i	0.962313	−	0.271945i	$-0.0876669\pi$
$432$	7.37454	−	30.6917i	0.354808	−	1.47665i
$433$	25.0644	−	25.0644i	1.20452	−	1.20452i	0.231738	−	0.972778i	$-0.425559\pi$
$433$	25.0644	−	25.0644i	1.20452	−	1.20452i	0.972778	−	0.231738i	$-0.0744413\pi$
$434$	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	0.678794	−	0.734329i	$-0.262503\pi$
$439$	−6.21342	−	10.7620i	−0.296550	−	0.513640i	−0.975344	+	0.220689i	$0.929170\pi$
$440$	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	0.695772	−	0.718263i	$-0.255063\pi$
$443$	19.7678	+	5.29676i	0.939196	+	0.251657i	0.243424	+	0.969920i	$0.421729\pi$
$444$	−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	$0.0767624\pi$
$449$			10.1212i			0.477651i	−0.971062	+	0.238826i	$0.923238\pi$
$450$	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	−0.123010	−	0.992405i	$-0.539255\pi$
$457$	−15.5146	−	4.15713i	−0.725743	−	0.194462i	−0.602733	+	0.797943i	$0.705921\pi$
$458$	−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	0.787810	−	0.615918i	$-0.211215\pi$
$463$	3.69866	+	3.69866i	0.171892	+	0.171892i	−0.615918	+	0.787810i	$0.711215\pi$
$464$	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	0.364971	−	0.931019i	$-0.381079\pi$
$467$	4.65778	+	1.24805i	0.215537	+	0.0577528i	−0.149435	+	0.988772i	$0.547745\pi$
$468$	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	−0.897179	−	0.441667i	$-0.854387\pi$
$479$	−1.44656	+	2.50551i	−0.0660949	+	0.114480i	0.831084	+	0.556147i	$0.187721\pi$
$480$	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	0.992626	+	0.121217i	$0.0386798\pi$
$487$	4.27228	+	15.9443i	0.193595	+	0.722507i	−0.799031	+	0.601290i	$0.794654\pi$
$488$	−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	$-0.563324\pi$
$491$		−	43.4430i		−	1.96055i	0.197627	−	0.980277i	$-0.436676\pi$
$492$	−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	0.949894	−	0.312572i	$-0.101191\pi$
$499$	4.56263	+	7.90271i	0.204251	+	0.353774i	−0.745643	+	0.666346i	$0.767857\pi$
$500$	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	−0.811030	−	0.585004i	$-0.801093\pi$
$503$	−5.06924	+	5.06924i	−0.226026	+	0.226026i	0.585004	+	0.811030i	$0.301093\pi$
$504$	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	−0.871087	−	0.491128i	$-0.836585\pi$
$509$	−19.8831	+	11.4795i	−0.881301	+	0.508819i	−0.0102140	+	0.999948i	$0.503251\pi$
$510$	−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	0.340447	−	0.940264i	$-0.389422\pi$
$521$	−6.93031	−	4.00122i	−0.303622	−	0.175296i	−0.644069	+	0.764967i	$0.722755\pi$
$522$	−2.91837	−	3.75255i	−0.127733	−	0.164245i
$523$	−4.19837	+	15.6685i	−0.183582	+	0.685137i	0.811348	+	0.584564i	$0.198734\pi$
$523$	−4.19837	+	15.6685i	−0.183582	+	0.685137i	−0.994930	+	0.100573i	$0.967932\pi$
$524$	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	−0.997873	−	0.0651901i	$-0.979235\pi$
$541$	−33.5018	+	19.3422i	−1.44035	+	0.831588i	−0.442480	+	0.896778i	$0.645901\pi$
$542$	−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	0.981882	−	0.189495i	$-0.0606850\pi$
$547$	18.5324	+	18.5324i	0.792387	+	0.792387i	−0.189495	+	0.981882i	$0.560685\pi$
$548$	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	−0.340786	−	0.940141i	$-0.610693\pi$
$557$	−3.91409	+	1.04878i	−0.165845	+	0.0444382i	0.174941	+	0.984579i	$0.444027\pi$
$558$	−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	−0.704059	−	0.710141i	$-0.748631\pi$
$563$	−22.7482	+	6.09536i	−0.958722	+	0.256889i	−0.254663	+	0.967030i	$0.581965\pi$
$564$	−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	0.564609	−	0.825359i	$-0.309027\pi$
$569$	37.2522	−	21.5076i	1.56169	−	0.901645i	0.997086	−	0.0762863i	$-0.0243063\pi$
$570$	−5.40801	−	13.0104i	−0.226517	−	0.544944i
$571$	37.0360	+	21.3827i	1.54991	+	0.894839i	0.998148	+	0.0608349i	$0.0193763\pi$
$571$	37.0360	+	21.3827i	1.54991	+	0.894839i	0.551758	+	0.834004i	$0.313957\pi$
$572$	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	0.633981	−	0.773349i	$-0.281420\pi$
$577$	37.7055	−	10.1031i	1.56970	−	0.420599i	0.935718	+	0.352749i	$0.114753\pi$
$578$	−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	−0.887581	−	0.460651i	$-0.847616\pi$
$587$	−10.3437	+	10.3437i	−0.426931	+	0.426931i	0.460651	+	0.887581i	$0.347616\pi$
$588$	−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	0.933252	−	0.359223i	$-0.116958\pi$
$593$	38.0338	+	10.1911i	1.56186	+	0.418499i	0.628608	+	0.777722i	$0.283625\pi$
$594$	−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	0.934887	−	0.354945i	$-0.115500\pi$
$599$	26.7981	+	15.4719i	1.09494	+	0.632163i	0.160052	+	0.987109i	$0.448834\pi$
$600$	−15.5970	+	38.6325i	−0.636747	+	1.57716i
$601$			27.4576i			1.12002i	0.828486	+	0.560009i	$0.189202\pi$
$601$			27.4576i			1.12002i	−0.828486	+	0.560009i	$0.810798\pi$
$602$	−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	−0.359608	−	0.933104i	$-0.617089\pi$
$607$	10.3076	−	38.4686i	0.418374	−	1.56139i	0.777981	−	0.628288i	$-0.216244\pi$
$608$	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	0.995291	+	0.0969365i	$0.0309044\pi$
$613$	4.50145	+	16.7996i	0.181812	+	0.678531i	−0.813479	+	0.581595i	$0.802429\pi$
$614$	−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	−0.280726	−	0.959788i	$-0.590575\pi$
$617$	16.8675	−	16.8675i	0.679062	−	0.679062i	0.959788	+	0.280726i	$0.0905753\pi$
$618$	3.76881	+	27.2571i	0.151604	+	1.09644i
$619$	−19.0038	−	10.9719i	−0.763829	−	0.440997i	0.0668399	−	0.997764i	$-0.478708\pi$
$619$	−19.0038	−	10.9719i	−0.763829	−	0.440997i	−0.830669	+	0.556767i	$0.812042\pi$
$620$	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	−0.763352	−	0.645983i	$-0.776448\pi$
$641$	4.50057	−	7.79521i	0.177762	−	0.307892i	0.941114	+	0.338091i	$0.109781\pi$
$642$	58.7065	−	8.11727i	2.31696	−	0.320363i
$643$	2.76326	+	2.76326i	0.108972	+	0.108972i	0.759491	−	0.650518i	$-0.225448\pi$
$643$	2.76326	+	2.76326i	0.108972	+	0.108972i	−0.650518	+	0.759491i	$0.725448\pi$
$644$	−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	−0.967644	−	0.252318i	$-0.918807\pi$
$647$	−42.7198	+	11.4467i	−1.67949	+	0.450018i	−0.711846	+	0.702336i	$0.752140\pi$
$648$	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	−0.180211	−	0.983628i	$-0.557678\pi$
$653$	−21.1610	−	5.67007i	−0.828093	−	0.221887i	−0.647882	+	0.761741i	$0.724345\pi$
$654$	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	−0.735873	−	0.677119i	$-0.763228\pi$
$661$	5.61675	−	9.72849i	0.218466	−	0.378394i	0.954339	+	0.298725i	$0.0965614\pi$
$662$	−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	0.445055	−	0.895503i	$-0.353184\pi$
$673$	−11.6856	−	11.6856i	−0.450448	−	0.450448i	−0.895503	+	0.445055i	$0.853184\pi$
$674$	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	0.241656	−	0.970362i	$-0.422309\pi$
$677$	−0.891019	−	0.238748i	−0.0342447	−	0.00917583i	−0.275901	+	0.961186i	$0.588976\pi$
$678$	−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	−0.994950	−	0.100375i	$-0.967996\pi$
$683$	−4.79525	−	17.8961i	−0.183485	−	0.684776i	0.811464	−	0.584402i	$-0.198671\pi$
$684$	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	0.812346	−	0.583176i	$-0.198190\pi$
$691$	−2.59904	−	4.50167i	−0.0988723	−	0.171252i	−0.911218	+	0.411924i	$0.864857\pi$
$692$	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	$-0.943131\pi$
$701$		−	9.41019i		−	0.355418i	0.984083	−	0.177709i	$-0.0568686\pi$
$702$	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	0.852531	−	0.522677i	$-0.175067\pi$
$709$	−0.702599	−	1.21694i	−0.0263867	−	0.0457030i	−0.878917	+	0.476974i	$0.841733\pi$
$710$	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	0.780749	−	0.624845i	$-0.214838\pi$
$719$	−4.04242	−	7.00168i	−0.150757	−	0.261119i	−0.931506	+	0.363726i	$0.881504\pi$
$720$	−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	0.890898	+	0.454203i	$0.150076\pi$
$727$	36.2679	+	36.2679i	1.34510	+	1.34510i	0.454203	+	0.890898i	$0.349924\pi$
$728$	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	−0.0256981	+	0.999670i	$0.508181\pi$
$733$	−13.6257	+	50.8519i	−0.503278	+	1.87826i	−0.477580	+	0.878588i	$0.658486\pi$
$734$	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	−0.414135	−	0.910215i	$-0.635916\pi$
$739$	15.7997	−	27.3659i	0.581202	−	1.00667i	0.995337	−	0.0964558i	$-0.0307506\pi$
$740$	−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	−0.961487	−	0.274851i	$-0.911372\pi$
$743$	−33.7001	−	33.7001i	−1.23634	−	1.23634i	−0.274851	−	0.961487i	$-0.588628\pi$
$744$	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	0.997505	+	0.0705997i	$0.0224913\pi$
$751$	15.3435	+	26.5758i	0.559894	+	0.969764i	−0.437611	+	0.899164i	$0.644175\pi$
$752$	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	0.452245	−	0.891894i	$-0.350623\pi$
$757$	−12.0963	−	12.0963i	−0.439648	−	0.439648i	−0.891894	+	0.452245i	$0.850623\pi$
$758$	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	−0.806932	−	0.590645i	$-0.798873\pi$
$761$	−19.2796	+	11.1311i	−0.698884	+	0.403501i	0.108048	+	0.994146i	$0.465540\pi$
$762$	−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	−0.705452	−	0.708757i	$-0.749256\pi$
$773$	−26.7467	+	7.16676i	−0.962013	+	0.257771i	−0.256561	+	0.966528i	$0.582589\pi$
$774$	−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	−0.938132	−	0.346277i	$-0.887446\pi$
$787$	−8.38308	−	31.2861i	−0.298825	−	1.11523i	0.639308	−	0.768951i	$-0.279221\pi$
$788$	−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	−0.248341	−	0.968673i	$-0.579885\pi$
$797$	20.3358	−	20.3358i	0.720332	−	0.720332i	0.968673	+	0.248341i	$0.0798852\pi$
$798$	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	0.0380158	−	0.999277i	$-0.487896\pi$
$809$	−22.9926	−	13.2748i	−0.808376	−	0.466716i	−0.846391	+	0.532561i	$0.821230\pi$
$810$	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	−0.515365	−	0.856971i	$-0.672344\pi$
$821$	−0.885087	+	0.511005i	−0.0308897	+	0.0178342i	0.484476	+	0.874805i	$0.339010\pi$
$822$	−37.4311	+	29.1102i	−1.30556	+	1.01534i
$823$	8.03333	−	2.15252i	0.280024	−	0.0750323i	−0.116074	−	0.993241i	$-0.537031\pi$
$823$	8.03333	−	2.15252i	0.280024	−	0.0750323i	0.396098	+	0.918208i	$0.370364\pi$
$824$	−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	0.938378	−	0.345610i	$-0.112328\pi$
$827$	17.0466	+	17.0466i	0.592768	+	0.592768i	−0.345610	+	0.938378i	$0.612328\pi$
$828$	−25.5653	−	42.9807i	−0.888456	−	1.49368i
$829$	37.4094	+	21.5984i	1.29928	+	0.750142i	0.980280	−	0.197612i	$-0.0633186\pi$
$829$	37.4094	+	21.5984i	1.29928	+	0.750142i	0.319003	+	0.947754i	$0.396652\pi$
$830$	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	−0.999913	−	0.0131684i	$-0.995808\pi$
$853$	−29.5882	−	29.5882i	−1.01308	−	1.01308i	−0.0131684	−	0.999913i	$-0.504192\pi$
$854$	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	−0.367951	−	0.929845i	$-0.619941\pi$
$857$	−6.48971	+	1.73891i	−0.221684	+	0.0594001i	0.146267	+	0.989245i	$0.453274\pi$
$858$	−52.6694	+	40.9611i	−1.79810	+	1.39839i
$859$	28.2836	−	16.3296i	0.965025	−	0.557157i	0.0673088	−	0.997732i	$-0.478559\pi$
$859$	28.2836	−	16.3296i	0.965025	−	0.557157i	0.897716	+	0.440575i	$0.145225\pi$
$860$	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	−0.921343	−	0.388749i	$-0.872907\pi$
$863$	2.08394	−	7.77737i	0.0709381	−	0.264745i	0.992282	+	0.124005i	$0.0395738\pi$
$864$	−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	−0.666693	−	0.745332i	$-0.732291\pi$
$877$	8.39107	−	31.3159i	0.283346	−	1.05746i	0.950039	−	0.312130i	$-0.101042\pi$
$878$	−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	$0.0184016\pi$
$881$			3.42990i			0.115556i	−0.998329	+	0.0577782i	$0.981598\pi$
$882$	−49.4147	−	26.8037i	−1.66388	−	0.902526i
$883$	−5.22277	+	5.22277i	−0.175760	+	0.175760i	−0.789505	−	0.613744i	$-0.789663\pi$
$883$	−5.22277	+	5.22277i	−0.175760	+	0.175760i	0.613744	+	0.789505i	$0.289663\pi$
$884$	−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	−0.513712	−	0.857962i	$-0.671730\pi$
$887$	10.7264	−	40.0314i	0.360157	−	1.34412i	0.873869	−	0.486161i	$-0.161603\pi$
$888$	−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	−0.926673	−	0.375869i	$-0.877344\pi$
$907$	−46.4173	+	12.4375i	−1.54126	+	0.412979i	−0.614587	+	0.788849i	$0.710677\pi$
$908$	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	−0.712419	−	0.701754i	$-0.752400\pi$
$919$	−13.9719	+	8.06669i	−0.460891	+	0.266096i	0.251528	+	0.967850i	$0.419067\pi$
$920$	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	0.930088	+	0.367338i	$0.119731\pi$
$929$	23.8706	+	41.3450i	0.783168	+	1.35649i	−0.146920	+	0.989148i	$0.546936\pi$
$930$	−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	0.441316	−	0.897352i	$-0.354512\pi$
$937$	−13.9595	−	13.9595i	−0.456036	−	0.456036i	−0.897352	+	0.441316i	$0.854512\pi$
$938$	−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	−0.765532	−	0.643397i	$-0.777524\pi$
$941$	5.35084	−	9.26792i	0.174432	−	0.302126i	0.939965	+	0.341272i	$0.110858\pi$
$942$	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	−0.544159	−	0.838982i	$-0.683151\pi$
$947$	10.6657	−	39.8048i	0.346588	−	1.29348i	0.890746	−	0.454501i	$-0.150182\pi$
$948$	−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	0.543856	−	0.839178i	$-0.316964\pi$
$953$	−9.11679	−	9.11679i	−0.295322	−	0.295322i	−0.839178	+	0.543856i	$0.816964\pi$
$954$	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	−0.627435	−	0.778669i	$-0.715895\pi$
$967$	4.70286	−	4.70286i	0.151234	−	0.151234i	0.778669	+	0.627435i	$0.215895\pi$
$968$	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	0.999591	+	0.0286047i	$0.00910639\pi$
$971$	16.3460	+	28.3121i	0.524568	+	0.908578i	−0.475023	+	0.879973i	$0.657560\pi$
$972$	−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	−0.834877	−	0.550437i	$-0.814461\pi$
$977$	−12.0987	−	45.1528i	−0.387071	−	1.44457i	0.447806	−	0.894131i	$-0.352205\pi$
$978$	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	0.998778	+	0.0494195i	$0.0157371\pi$
$983$	4.97007	+	18.5486i	0.158521	+	0.591607i	−0.840257	+	0.542188i	$0.817596\pi$
$984$	−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	−0.620840	−	0.783937i	$-0.713208\pi$
$991$	11.6001	−	20.0920i	0.368489	−	0.638242i	0.989330	+	0.145695i	$0.0465417\pi$
$992$	−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	0.995644	+	0.0932336i	$0.0297204\pi$
$997$	5.68380	+	21.2122i	0.180008	+	0.671798i	−0.815636	+	0.578565i	$0.803613\pi$
$998$	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.213.21	yes	160
5.2	odd	4	inner	280.2.bv.e.157.40	yes	160
7.5	odd	6	inner	280.2.bv.e.173.9	yes	160
8.5	even	2	inner	280.2.bv.e.213.12	yes	160
35.12	even	12	inner	280.2.bv.e.117.12	✓	160
40.37	odd	4	inner	280.2.bv.e.157.9	yes	160
56.5	odd	6	inner	280.2.bv.e.173.40	yes	160
280.117	even	12	inner	280.2.bv.e.117.21	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.e.117.12	✓	160	35.12	even	12	inner
280.2.bv.e.117.21	yes	160	280.117	even	12	inner
280.2.bv.e.157.9	yes	160	40.37	odd	4	inner
280.2.bv.e.157.40	yes	160	5.2	odd	4	inner
280.2.bv.e.173.9	yes	160	7.5	odd	6	inner
280.2.bv.e.173.40	yes	160	56.5	odd	6	inner
280.2.bv.e.213.12	yes	160	8.5	even	2	inner
280.2.bv.e.213.21	yes	160	1.1	even	1	trivial

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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Database

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