LMFDB - Embedded newform 798.2.ca.a.355.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(325,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("798.325");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.ca (of order $18$, degree $6$, 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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$12$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			355.1
Character	$\chi$	$=$	798.355
Dual form			798.2.ca.a.535.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.984808 + 0.173648i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.22091 + 3.35442i) q^{5} +(0.342020 + 0.939693i) q^{6} +(-0.900035 - 2.48796i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})$	\(q+(-0.984808 + 0.173648i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.22091 + 3.35442i) q^{5} +(0.342020 + 0.939693i) q^{6} +(-0.900035 - 2.48796i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(0.619871 - 3.51546i) q^{10} +(-0.934184 + 1.61805i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(4.99954 - 1.81968i) q^{13} +(1.31839 + 2.29387i) q^{14} +(3.51546 + 0.619871i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.262841 + 0.722151i) q^{17} +(0.866025 - 0.500000i) q^{18} +(-0.882564 + 4.26862i) q^{19} +3.56970i q^{20} +(-2.29387 + 1.31839i) q^{21} +(0.639019 - 1.75569i) q^{22} +(-6.70582 - 5.62685i) q^{23} +(0.642788 + 0.766044i) q^{24} +(-5.93127 - 4.97693i) q^{25} +(-4.60760 + 2.66020i) q^{26} +(0.500000 + 0.866025i) q^{27} +(-1.69669 - 2.03009i) q^{28} +(-3.91664 + 4.66767i) q^{29} -3.56970 q^{30} -7.65839 q^{31} +(-0.642788 + 0.766044i) q^{32} +(1.75569 + 0.639019i) q^{33} +(0.133448 - 0.756822i) q^{34} +(9.44451 + 0.0184736i) q^{35} +(-0.766044 + 0.642788i) q^{36} +(-0.875360 - 0.505389i) q^{37} +(0.127919 - 4.35702i) q^{38} +(-2.66020 - 4.60760i) q^{39} +(-0.619871 - 3.51546i) q^{40} +(0.195110 + 0.0710143i) q^{41} +(2.03009 - 1.69669i) q^{42} +(0.317345 + 1.79975i) q^{43} +(-0.324439 + 1.83998i) q^{44} -3.56970i q^{45} +(7.58104 + 4.37692i) q^{46} +(-3.60386 - 9.90153i) q^{47} +(-0.766044 - 0.642788i) q^{48} +(-5.37987 + 4.47850i) q^{49} +(6.70540 + 3.87136i) q^{50} +(0.756822 + 0.133448i) q^{51} +(4.07566 - 3.41989i) q^{52} +(3.86079 + 10.6074i) q^{53} +(-0.642788 - 0.766044i) q^{54} +(-4.28707 - 5.10914i) q^{55} +(2.02343 + 1.70462i) q^{56} +(4.35702 + 0.127919i) q^{57} +(3.04661 - 5.27688i) q^{58} +(-10.9041 - 3.96878i) q^{59} +(3.51546 - 0.619871i) q^{60} +(-1.16724 + 1.39106i) q^{61} +(7.54204 - 1.32987i) q^{62} +(1.69669 + 2.03009i) q^{63} +(0.500000 - 0.866025i) q^{64} +18.9922i q^{65} +(-1.83998 - 0.324439i) q^{66} +(-14.7543 - 2.60158i) q^{67} +0.768497i q^{68} +(-4.37692 + 7.58104i) q^{69} +(-9.30423 + 1.62183i) q^{70} +(-3.97473 + 0.700851i) q^{71} +(0.642788 - 0.766044i) q^{72} +(-12.6401 + 2.22879i) q^{73} +(0.949821 + 0.345707i) q^{74} +(-3.87136 + 6.70540i) q^{75} +(0.630613 + 4.31304i) q^{76} +(4.86645 + 0.867904i) q^{77} +(3.41989 + 4.07566i) q^{78} +(1.24753 + 1.48674i) q^{79} +(1.22091 + 3.35442i) q^{80} +(0.766044 - 0.642788i) q^{81} +(-0.204478 - 0.0360549i) q^{82} +(13.7806 + 7.95621i) q^{83} +(-1.70462 + 2.02343i) q^{84} +(-2.10149 - 1.76336i) q^{85} +(-0.625047 - 1.71730i) q^{86} +(5.27688 + 3.04661i) q^{87} -1.86837i q^{88} +(1.81106 - 10.2710i) q^{89} +(0.619871 + 3.51546i) q^{90} +(-9.02706 - 10.8009i) q^{91} +(-8.22591 - 2.99399i) q^{92} +(1.32987 + 7.54204i) q^{93} +(5.26850 + 9.12530i) q^{94} +(-13.2412 - 8.17208i) q^{95} +(0.866025 + 0.500000i) q^{96} +(1.56419 - 1.31251i) q^{97} +(4.52046 - 5.34467i) q^{98} +(0.324439 - 1.83998i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{7}+O(q^{10}) $ 72 * q - 6 * q^7	$ 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) $ 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{18}\right)$	$1$

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 $

$2$	−0.984808	+	0.173648i	−0.696364	+	0.122788i
$2$	−0.984808	+	0.173648i	−0.696364	+	0.122788i
$3$	−0.173648	−	0.984808i	−0.100256	−	0.568579i
$3$	−0.173648	−	0.984808i	−0.100256	−	0.568579i
$4$	0.939693	−	0.342020i	0.469846	−	0.171010i
$5$	−1.22091	+	3.35442i	−0.546007	+	1.50014i	0.293050	+	0.956097i	$0.405330\pi$
$5$	−1.22091	+	3.35442i	−0.546007	+	1.50014i	−0.839057	+	0.544044i	$0.816893\pi$
$6$	0.342020	+	0.939693i	0.139629	+	0.383628i
$7$	−0.900035	−	2.48796i	−0.340181	−	0.940360i
$7$	−0.900035	−	2.48796i	−0.340181	−	0.940360i
$8$	−0.866025	+	0.500000i	−0.306186	+	0.176777i
$9$	−0.939693	+	0.342020i	−0.313231	+	0.114007i
$10$	0.619871	−	3.51546i	0.196020	−	1.11169i
$11$	−0.934184	+	1.61805i	−0.281667	+	0.487862i	−0.971795	−	0.235825i	$-0.924221\pi$
$11$	−0.934184	+	1.61805i	−0.281667	+	0.487862i	0.690128	+	0.723687i	$0.257554\pi$
$12$	−0.500000	−	0.866025i	−0.144338	−	0.250000i
$13$	4.99954	−	1.81968i	1.38662	−	0.504690i	0.462444	−	0.886648i	$-0.346973\pi$
$13$	4.99954	−	1.81968i	1.38662	−	0.504690i	0.924179	+	0.381959i	$0.124750\pi$
$14$	1.31839	+	2.29387i	0.352355	+	0.613063i
$15$	3.51546	+	0.619871i	0.907689	+	0.160050i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	−0.262841	+	0.722151i	−0.0637484	+	0.175147i	−0.967477	−	0.252958i	$-0.918597\pi$
$17$	−0.262841	+	0.722151i	−0.0637484	+	0.175147i	0.903729	+	0.428105i	$0.140819\pi$
$18$	0.866025	−	0.500000i	0.204124	−	0.117851i
$19$	−0.882564	+	4.26862i	−0.202474	+	0.979288i
$19$	−0.882564	+	4.26862i	−0.202474	+	0.979288i
$20$			3.56970i			0.798208i
$21$	−2.29387	+	1.31839i	−0.500564	+	0.287697i
$22$	0.639019	−	1.75569i	0.136239	−	0.374315i
$23$	−6.70582	−	5.62685i	−1.39826	−	1.17328i	−0.961865	−	0.273526i	$-0.911810\pi$
$23$	−6.70582	−	5.62685i	−1.39826	−	1.17328i	−0.436396	−	0.899754i	$-0.643745\pi$
$24$	0.642788	+	0.766044i	0.131208	+	0.156368i
$25$	−5.93127	−	4.97693i	−1.18625	−	0.995386i
$26$	−4.60760	+	2.66020i	−0.903625	+	0.521708i
$27$	0.500000	+	0.866025i	0.0962250	+	0.166667i
$28$	−1.69669	−	2.03009i	−0.320644	−	0.383650i
$29$	−3.91664	+	4.66767i	−0.727302	+	0.866765i	−0.995318	−	0.0966494i	$-0.969187\pi$
$29$	−3.91664	+	4.66767i	−0.727302	+	0.866765i	0.268016	+	0.963414i	$0.413632\pi$
$30$	−3.56970			−0.651734
$31$	−7.65839			−1.37549			−0.687744	−	0.725954i	$-0.741399\pi$
$31$	−7.65839			−1.37549			−0.687744	+	0.725954i	$0.741399\pi$
$32$	−0.642788	+	0.766044i	−0.113630	+	0.135419i
$33$	1.75569	+	0.639019i	0.305627	+	0.111239i
$34$	0.133448	−	0.756822i	0.0228862	−	0.129794i
$35$	9.44451	+	0.0184736i	1.59641	+	0.00312261i
$36$	−0.766044	+	0.642788i	−0.127674	+	0.107131i
$37$	−0.875360	−	0.505389i	−0.143908	−	0.0830855i	0.426317	−	0.904574i	$-0.359811\pi$
$37$	−0.875360	−	0.505389i	−0.143908	−	0.0830855i	−0.570225	+	0.821488i	$0.693144\pi$
$38$	0.127919	−	4.35702i	0.0207512	−	0.706802i
$39$	−2.66020	−	4.60760i	−0.425973	−	0.737807i
$40$	−0.619871	−	3.51546i	−0.0980102	−	0.555844i
$41$	0.195110	+	0.0710143i	0.0304711	+	0.0110906i	0.357211	−	0.934024i	$-0.383728\pi$
$41$	0.195110	+	0.0710143i	0.0304711	+	0.0110906i	−0.326740	+	0.945114i	$0.605950\pi$
$42$	2.03009	−	1.69669i	0.313249	−	0.261805i
$43$	0.317345	+	1.79975i	0.0483946	+	0.274459i	0.999397	−	0.0347243i	$-0.0110553\pi$
$43$	0.317345	+	1.79975i	0.0483946	+	0.274459i	−0.951002	+	0.309184i	$0.899944\pi$
$44$	−0.324439	+	1.83998i	−0.0489110	+	0.277388i
$45$		−	3.56970i		−	0.532139i
$46$	7.58104	+	4.37692i	1.11776	+	0.645341i
$47$	−3.60386	−	9.90153i	−0.525677	−	1.44429i	−0.864113	−	0.503297i	$-0.832120\pi$
$47$	−3.60386	−	9.90153i	−0.525677	−	1.44429i	0.338436	−	0.940989i	$-0.390102\pi$
$48$	−0.766044	−	0.642788i	−0.110569	−	0.0927784i
$49$	−5.37987	+	4.47850i	−0.768553	+	0.639786i
$50$	6.70540	+	3.87136i	0.948287	+	0.547494i
$51$	0.756822	+	0.133448i	0.105976	+	0.0186865i
$52$	4.07566	−	3.41989i	0.565193	−	0.474253i
$53$	3.86079	+	10.6074i	0.530320	+	1.45704i	0.858691	+	0.512494i	$0.171278\pi$
$53$	3.86079	+	10.6074i	0.530320	+	1.45704i	−0.328371	+	0.944549i	$0.606500\pi$
$54$	−0.642788	−	0.766044i	−0.0874723	−	0.104245i
$55$	−4.28707	−	5.10914i	−0.578069	−	0.688916i
$56$	2.02343	+	1.70462i	0.270393	+	0.227789i
$57$	4.35702	+	0.127919i	0.577102	+	0.0169433i
$58$	3.04661	−	5.27688i	0.400039	−	0.692888i
$59$	−10.9041	−	3.96878i	−1.41960	−	0.516692i	−0.485667	−	0.874144i	$-0.661423\pi$
$59$	−10.9041	−	3.96878i	−1.41960	−	0.516692i	−0.933931	+	0.357452i	$0.883645\pi$
$60$	3.51546	−	0.619871i	0.453844	−	0.0800250i
$61$	−1.16724	+	1.39106i	−0.149450	+	0.178108i	−0.835575	−	0.549376i	$-0.814866\pi$
$61$	−1.16724	+	1.39106i	−0.149450	+	0.178108i	0.686126	+	0.727483i	$0.259310\pi$
$62$	7.54204	−	1.32987i	0.957840	−	0.168893i
$63$	1.69669	+	2.03009i	0.213763	+	0.255767i
$64$	0.500000	−	0.866025i	0.0625000	−	0.108253i
$65$			18.9922i			2.35569i
$66$	−1.83998	−	0.324439i	−0.226486	−	0.0399356i
$67$	−14.7543	−	2.60158i	−1.80253	−	0.317834i	−0.831269	−	0.555870i	$-0.812385\pi$
$67$	−14.7543	−	2.60158i	−1.80253	−	0.317834i	−0.971256	+	0.238036i	$0.923496\pi$
$68$			0.768497i			0.0931939i
$69$	−4.37692	+	7.58104i	−0.526919	+	0.912650i
$70$	−9.30423	+	1.62183i	−1.11207	+	0.193846i
$71$	−3.97473	+	0.700851i	−0.471713	+	0.0831757i	−0.404451	−	0.914560i	$-0.632537\pi$
$71$	−3.97473	+	0.700851i	−0.471713	+	0.0831757i	−0.0672620	+	0.997735i	$0.521426\pi$
$72$	0.642788	−	0.766044i	0.0757532	−	0.0902792i
$73$	−12.6401	+	2.22879i	−1.47941	+	0.260860i	−0.854342	−	0.519711i	$-0.826040\pi$
$73$	−12.6401	+	2.22879i	−1.47941	+	0.260860i	−0.625067	+	0.780571i	$0.714928\pi$
$74$	0.949821	+	0.345707i	0.110414	+	0.0401876i
$75$	−3.87136	+	6.70540i	−0.447027	+	0.774273i
$76$	0.630613	+	4.31304i	0.0723363	+	0.494740i
$77$	4.86645	+	0.867904i	0.554583	+	0.0989069i
$78$	3.41989	+	4.07566i	0.387226	+	0.461478i
$79$	1.24753	+	1.48674i	0.140358	+	0.167272i	0.831644	−	0.555309i	$-0.187400\pi$
$79$	1.24753	+	1.48674i	0.140358	+	0.167272i	−0.691286	+	0.722581i	$0.742956\pi$
$80$	1.22091	+	3.35442i	0.136502	+	0.375035i
$81$	0.766044	−	0.642788i	0.0851160	−	0.0714208i
$82$	−0.204478	−	0.0360549i	−0.0225808	−	0.00398160i
$83$	13.7806	+	7.95621i	1.51261	+	0.873308i	0.999891	+	0.0147528i	$0.00469613\pi$
$83$	13.7806	+	7.95621i	1.51261	+	0.873308i	0.512722	+	0.858555i	$0.328637\pi$
$84$	−1.70462	+	2.02343i	−0.185989	+	0.220775i
$85$	−2.10149	−	1.76336i	−0.227939	−	0.191263i
$86$	−0.625047	−	1.71730i	−0.0674005	−	0.185181i
$87$	5.27688	+	3.04661i	0.565741	+	0.326630i
$88$		−	1.86837i		−	0.199169i
$89$	1.81106	−	10.2710i	0.191972	−	1.08873i	−0.724693	−	0.689072i	$-0.758018\pi$
$89$	1.81106	−	10.2710i	0.191972	−	1.08873i	0.916665	−	0.399656i	$-0.130870\pi$
$90$	0.619871	+	3.51546i	0.0653402	+	0.370562i
$91$	−9.02706	−	10.8009i	−0.946293	−	1.13224i
$92$	−8.22591	−	2.99399i	−0.857611	−	0.312145i
$93$	1.32987	+	7.54204i	0.137901	+	0.782073i
$94$	5.26850	+	9.12530i	0.543404	+	0.941203i
$95$	−13.2412	−	8.17208i	−1.35852	−	0.838437i
$96$	0.866025	+	0.500000i	0.0883883	+	0.0510310i
$97$	1.56419	−	1.31251i	0.158820	−	0.133266i	−0.559915	−	0.828550i	$-0.689166\pi$
$97$	1.56419	−	1.31251i	0.158820	−	0.133266i	0.718735	+	0.695285i	$0.244722\pi$
$98$	4.52046	−	5.34467i	0.456635	−	0.539893i
$99$	0.324439	−	1.83998i	0.0326073	−	0.184925i
$100$	−7.27578	−	2.64817i	−0.727578	−	0.264817i
$101$	3.95579	−	4.71433i	0.393616	−	0.469093i	−0.532446	−	0.846464i	$-0.678727\pi$
$101$	3.95579	−	4.71433i	0.393616	−	0.469093i	0.926062	+	0.377371i	$0.123172\pi$
$102$	−0.768497			−0.0760925
$103$	0.110605			0.0108983			0.00544913	−	0.999985i	$-0.498265\pi$
$103$	0.110605			0.0108983			0.00544913	+	0.999985i	$0.498265\pi$
$104$	−3.41989	+	4.07566i	−0.335348	+	0.399652i
$105$	−1.62183	−	9.30423i	−0.158274	−	0.908000i
$106$	−5.64410	−	9.77586i	−0.548203	−	0.949516i
$107$	−6.74669	+	3.89520i	−0.652227	+	0.376564i	−0.789309	−	0.613996i	$-0.789561\pi$
$107$	−6.74669	+	3.89520i	−0.652227	+	0.376564i	0.137082	+	0.990560i	$0.456228\pi$
$108$	0.766044	+	0.642788i	0.0737127	+	0.0618523i
$109$	2.56609	+	3.05815i	0.245787	+	0.292917i	0.874807	−	0.484472i	$-0.160988\pi$
$109$	2.56609	+	3.05815i	0.245787	+	0.292917i	−0.629020	+	0.777389i	$0.716544\pi$
$110$	5.10914	+	4.28707i	0.487137	+	0.408757i
$111$	−0.345707	+	0.949821i	−0.0328130	+	0.0901531i
$112$	−2.28870	−	1.32735i	−0.216261	−	0.125423i
$113$		−	0.684716i		−	0.0644127i	−0.999481	−	0.0322064i	$-0.989747\pi$
$113$		−	0.684716i		−	0.0644127i	0.999481	−	0.0322064i	$-0.0102534\pi$
$114$	−4.31304	+	0.630613i	−0.403953	+	0.0590623i
$115$	27.0620	−	15.6243i	2.52355	−	1.45697i
$116$	−2.08400	+	5.72575i	−0.193495	+	0.531622i
$117$	−4.07566	+	3.41989i	−0.376795	+	0.316169i
$118$	11.4277	+	2.01500i	1.05200	+	0.185496i
$119$	2.03325	+	0.00397706i	0.186387	+	0.000364577i
$120$	−3.35442	+	1.22091i	−0.306215	+	0.111453i
$121$	3.75460	+	6.50316i	0.341327	+	0.591196i
$122$	0.907953	−	1.57262i	0.0822022	−	0.142378i
$123$	0.0360549	−	0.204478i	0.00325096	−	0.0184371i
$124$	−7.19653	+	2.61932i	−0.646268	+	0.235222i
$125$	8.47900	−	4.89535i	0.758385	−	0.437854i
$126$	−2.02343	−	1.70462i	−0.180262	−	0.151859i
$127$	5.97026	+	16.4032i	0.529775	+	1.45555i	0.859336	+	0.511411i	$0.170877\pi$
$127$	5.97026	+	16.4032i	0.529775	+	1.45555i	−0.329561	+	0.944134i	$0.606901\pi$
$128$	−0.342020	+	0.939693i	−0.0302306	+	0.0830579i
$129$	1.71730	−	0.625047i	0.151200	−	0.0550323i
$130$	−3.29796	−	18.7037i	−0.289251	−	1.64042i
$131$	−9.81648	+	1.73091i	−0.857670	+	0.151230i	−0.585155	−	0.810921i	$-0.698966\pi$
$131$	−9.81648	+	1.73091i	−0.857670	+	0.151230i	−0.272515	+	0.962152i	$0.587855\pi$
$132$	1.86837			0.162621
$133$	11.4145	−	1.64612i	0.989761	−	0.142737i
$134$	14.9819			1.29424
$135$	−3.51546	+	0.619871i	−0.302563	+	0.0533500i
$136$	−0.133448	−	0.756822i	−0.0114431	−	0.0648969i
$137$	−6.19831	+	2.25600i	−0.529557	+	0.192743i	−0.592941	−	0.805246i	$-0.702033\pi$
$137$	−6.19831	+	2.25600i	−0.529557	+	0.192743i	0.0633834	+	0.997989i	$0.479811\pi$
$138$	2.99399	−	8.22591i	0.254865	−	0.700236i
$139$	−3.32780	−	9.14304i	−0.282260	−	0.775503i	−0.997092	−	0.0762067i	$-0.975719\pi$
$139$	−3.32780	−	9.14304i	−0.282260	−	0.775503i	0.714832	−	0.699296i	$-0.246503\pi$
$140$	8.88125	−	3.21285i	0.750603	−	0.271536i
$141$	−9.12530	+	5.26850i	−0.768489	+	0.443687i
$142$	3.79264	−	1.38041i	0.318271	−	0.115841i
$143$	−1.72614	+	9.78945i	−0.144347	+	0.818635i
$144$	−0.500000	+	0.866025i	−0.0416667	+	0.0721688i
$145$	−10.8755	−	18.8368i	−0.903158	−	1.56431i
$146$	12.0610	−	4.38985i	0.998177	−	0.363307i
$147$	5.34467	+	4.52046i	0.440821	+	0.372841i
$148$	−0.995423	−	0.175520i	−0.0818233	−	0.0144276i
$149$	3.56784	−	2.99377i	0.292289	−	0.245259i	−0.484837	−	0.874604i	$-0.661121\pi$
$149$	3.56784	−	2.99377i	0.292289	−	0.245259i	0.777126	+	0.629345i	$0.216677\pi$
$150$	2.64817	−	7.27578i	0.216222	−	0.594065i
$151$	9.36975	−	5.40963i	0.762500	−	0.440229i	−0.0676928	−	0.997706i	$-0.521564\pi$
$151$	9.36975	−	5.40963i	0.762500	−	0.440229i	0.830193	+	0.557477i	$0.188230\pi$
$152$	−1.36998	−	4.13801i	−0.111120	−	0.335637i
$153$		−	0.768497i		−	0.0621293i
$154$	−4.94323	−	0.00966903i	−0.398337	−	0.000779152i
$155$	9.35019	−	25.6894i	0.751025	−	2.06342i
$156$	−4.07566	−	3.41989i	−0.326314	−	0.273810i
$157$	9.53652	+	11.3652i	0.761097	+	0.907040i	0.997917	−	0.0645132i	$-0.0205495\pi$
$157$	9.53652	+	11.3652i	0.761097	+	0.907040i	−0.236820	+	0.971554i	$0.576105\pi$
$158$	−1.48674	−	1.24753i	−0.118279	−	0.0992478i
$159$	9.77586	−	5.64410i	0.775276	−	0.447606i
$160$	−1.78485	−	3.09145i	−0.141105	−	0.244400i
$161$	−7.96390	+	21.7482i	−0.627643	+	1.71400i
$162$	−0.642788	+	0.766044i	−0.0505022	+	0.0601861i
$163$	4.74280			0.371485			0.185742	−	0.982598i	$-0.440531\pi$
$163$	4.74280			0.371485			0.185742	+	0.982598i	$0.440531\pi$
$164$	0.207632			0.0162133
$165$	−4.28707	+	5.10914i	−0.333748	+	0.397746i
$166$	−14.9528	−	5.44237i	−1.16056	−	0.422410i
$167$	3.53742	−	20.0617i	0.273734	−	1.55242i	−0.469222	−	0.883080i	$-0.655466\pi$
$167$	3.53742	−	20.0617i	0.273734	−	1.55242i	0.742956	−	0.669341i	$-0.233423\pi$
$168$	1.32735	−	2.28870i	0.102408	−	0.176577i
$169$	11.7256	−	9.83894i	0.901969	−	0.756842i
$170$	2.37577	+	1.37165i	0.182213	+	0.105201i
$171$	−0.630613	−	4.31304i	−0.0482242	−	0.329827i
$172$	0.913757	+	1.58267i	0.0696733	+	0.120678i
$173$	−1.02789	−	5.82948i	−0.0781493	−	0.443207i	−0.998626	−	0.0524087i	$-0.983310\pi$
$173$	−1.02789	−	5.82948i	−0.0781493	−	0.443207i	0.920476	−	0.390798i	$-0.127801\pi$
$174$	−5.72575	−	2.08400i	−0.434068	−	0.157988i
$175$	−7.04404	+	19.2362i	−0.532479	+	1.45412i
$176$	0.324439	+	1.83998i	0.0244555	+	0.138694i
$177$	−2.01500	+	11.4277i	−0.151457	+	0.858955i
$178$			10.4295i			0.781723i
$179$	5.06642	+	2.92510i	0.378682	+	0.218632i	0.677245	−	0.735758i	$-0.263174\pi$
$179$	5.06642	+	2.92510i	0.378682	+	0.218632i	−0.298563	+	0.954390i	$0.596507\pi$
$180$	−1.22091	−	3.35442i	−0.0910011	−	0.250023i
$181$	−13.2805	−	11.1437i	−0.987133	−	0.828303i	−0.00198301	−	0.999998i	$-0.500631\pi$
$181$	−13.2805	−	11.1437i	−0.987133	−	0.828303i	−0.985150	+	0.171695i	$0.945076\pi$
$182$	10.7655	+	9.06925i	0.797990	+	0.672257i
$183$	1.57262	+	0.907953i	0.116251	+	0.0671178i
$184$	8.62084	+	1.52009i	0.635537	+	0.112062i
$185$	2.76402	−	2.31929i	0.203215	−	0.170518i
$186$	−2.61932	−	7.19653i	−0.192058	−	0.527675i
$187$	−0.922937	−	1.09991i	−0.0674918	−	0.0804336i
$188$	−6.77305	−	8.07180i	−0.493975	−	0.588697i
$189$	1.70462	−	2.02343i	0.123993	−	0.147183i
$190$	14.4591	+	5.74862i	1.04897	+	0.417048i
$191$	−4.08901	+	7.08237i	−0.295870	+	0.512462i	−0.975187	−	0.221383i	$-0.928943\pi$
$191$	−4.08901	+	7.08237i	−0.295870	+	0.512462i	0.679317	+	0.733845i	$0.262276\pi$
$192$	−0.939693	−	0.342020i	−0.0678165	−	0.0246832i
$193$	4.60783	−	0.812485i	0.331679	−	0.0584840i	−0.00532877	−	0.999986i	$-0.501696\pi$
$193$	4.60783	−	0.812485i	0.331679	−	0.0584840i	0.337008	+	0.941502i	$0.390585\pi$
$194$	−1.31251	+	1.56419i	−0.0942331	+	0.112303i
$195$	18.7037	−	3.29796i	1.33940	−	0.236172i
$196$	−3.52369	+	6.04844i	−0.251692	+	0.432031i
$197$	6.74414	−	11.6812i	0.480500	−	0.832250i	−0.519250	−	0.854622i	$-0.673789\pi$
$197$	6.74414	−	11.6812i	0.480500	−	0.832250i	0.999750	+	0.0223723i	$0.00712193\pi$
$198$			1.86837i			0.132779i
$199$	27.1318	+	4.78408i	1.92333	+	0.339134i	0.999089	−	0.0426856i	$-0.0135914\pi$
$199$	27.1318	+	4.78408i	1.92333	+	0.339134i	0.924237	+	0.381820i	$0.124702\pi$
$200$	7.62510	+	1.34451i	0.539176	+	0.0950713i
$201$			14.9819i			1.05674i
$202$	−3.07706	+	5.32962i	−0.216501	+	0.374991i
$203$	15.1381	+	5.54337i	1.06249	+	0.389068i
$204$	0.756822	−	0.133448i	0.0529881	−	0.00934323i
$205$	−0.476423	+	0.567779i	−0.0332748	+	0.0396554i
$206$	−0.108925	+	0.0192064i	−0.00758916	+	0.00133817i
$207$	8.22591	+	2.99399i	0.571740	+	0.208096i
$208$	2.66020	−	4.60760i	0.184452	−	0.319480i
$209$	−6.08237	−	5.41571i	−0.420727	−	0.374612i
$210$	3.21285	+	8.88125i	0.221708	+	0.612865i
$211$	−0.700907	−	0.835308i	−0.0482524	−	0.0575050i	0.741378	−	0.671087i	$-0.234172\pi$
$211$	−0.700907	−	0.835308i	−0.0482524	−	0.0575050i	−0.789631	+	0.613582i	$0.789728\pi$
$212$	7.25591	+	8.64726i	0.498338	+	0.593896i
$213$	1.38041	+	3.79264i	0.0945840	+	0.259867i
$214$	5.96780	−	5.00758i	0.407950	−	0.342311i
$215$	−6.42456	−	1.13282i	−0.438151	−	0.0772579i
$216$	−0.866025	−	0.500000i	−0.0589256	−	0.0340207i
$217$	6.89282	+	19.0538i	0.467915	+	1.29345i
$218$	−3.05815	−	2.56609i	−0.207124	−	0.173797i
$219$	4.38985	+	12.0610i	0.296639	+	0.815008i
$220$	−5.77596	−	3.33475i	−0.389415	−	0.224829i
$221$			4.08871i			0.275036i
$222$	0.175520	−	0.995423i	0.0117801	−	0.0668084i
$223$	2.49899	+	14.1725i	0.167345	+	0.949058i	0.946614	+	0.322369i	$0.104479\pi$
$223$	2.49899	+	14.1725i	0.167345	+	0.949058i	−0.779270	+	0.626689i	$0.784410\pi$
$224$	2.48442	+	0.909762i	0.165997	+	0.0607860i
$225$	7.27578	+	2.64817i	0.485052	+	0.176545i
$226$	0.118900	+	0.674314i	0.00790909	+	0.0448547i
$227$	−3.51706	−	6.09173i	−0.233436	−	0.404323i	0.725381	−	0.688347i	$-0.241664\pi$
$227$	−3.51706	−	6.09173i	−0.233436	−	0.404323i	−0.958817	+	0.284025i	$0.908330\pi$
$228$	4.13801	−	1.36998i	0.274047	−	0.0907294i
$229$	−10.4936	−	6.05848i	−0.693437	−	0.400356i	0.111461	−	0.993769i	$-0.464447\pi$
$229$	−10.4936	−	6.05848i	−0.693437	−	0.400356i	−0.804898	+	0.593413i	$0.797780\pi$
$230$	−23.9378	+	20.0862i	−1.57841	+	1.32444i
$231$	0.00966903	−	4.94323i	0.000636175	−	0.325240i
$232$	1.05808	−	6.00064i	0.0694660	−	0.393962i
$233$	−5.75778	−	2.09566i	−0.377205	−	0.137291i	0.146458	−	0.989217i	$-0.453213\pi$
$233$	−5.75778	−	2.09566i	−0.377205	−	0.137291i	−0.523663	+	0.851926i	$0.675435\pi$
$234$	3.41989	−	4.07566i	0.223565	−	0.266435i
$235$	37.6139			2.45366
$236$	−11.6039			−0.755353
$237$	1.24753	−	1.48674i	0.0810355	−	0.0965743i
$238$	−2.00305	+	0.349153i	−0.129838	+	0.0226322i
$239$	7.16593	+	12.4117i	0.463525	+	0.802849i	0.999134	−	0.0416173i	$-0.0132510\pi$
$239$	7.16593	+	12.4117i	0.463525	+	0.802849i	−0.535608	+	0.844466i	$0.679918\pi$
$240$	3.09145	−	1.78485i	0.199552	−	0.115211i
$241$	−7.96403	−	6.68262i	−0.513008	−	0.430465i	0.349178	−	0.937056i	$-0.386461\pi$
$241$	−7.96403	−	6.68262i	−0.513008	−	0.430465i	−0.862186	+	0.506591i	$0.830905\pi$
$242$	−4.82682	−	5.75238i	−0.310280	−	0.369777i
$243$	−0.766044	−	0.642788i	−0.0491418	−	0.0412348i
$244$	−0.621076	+	1.70639i	−0.0397603	+	0.109241i
$245$	−8.45443	−	23.5142i	−0.540134	−	1.50227i
$246$			0.207632i			0.0132381i
$247$	3.35512	+	22.9471i	0.213481	+	1.46009i
$248$	6.63236	−	3.82919i	0.421155	−	0.243154i
$249$	5.44237	−	14.9528i	0.344896	−	0.947594i
$250$	−7.50012	+	6.29335i	−0.474349	+	0.398026i
$251$	15.2489	+	2.68879i	0.962503	+	0.169715i	0.632753	−	0.774353i	$-0.281925\pi$
$251$	15.2489	+	2.68879i	0.962503	+	0.169715i	0.329749	+	0.944069i	$0.393036\pi$
$252$	2.28870	+	1.32735i	0.144174	+	0.0836155i
$253$	15.3690	−	5.59387i	0.966242	−	0.351683i
$254$	−8.72794	−	15.1172i	−0.547640	−	0.948540i
$255$	−1.37165	+	2.37577i	−0.0858960	+	0.148776i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	15.4925	−	5.63881i	0.966397	−	0.351740i	0.189860	−	0.981811i	$-0.439197\pi$
$257$	15.4925	−	5.63881i	0.966397	−	0.351740i	0.776537	+	0.630072i	$0.216974\pi$
$258$	−1.58267	+	0.913757i	−0.0985330	+	0.0568880i
$259$	−0.469533	+	2.63273i	−0.0291753	+	0.163590i
$260$	6.49572	+	17.8468i	0.402847	+	1.10681i
$261$	2.08400	−	5.72575i	0.128996	−	0.354415i
$262$	9.36677	−	3.40923i	0.578681	−	0.210623i
$263$	4.71197	+	26.7229i	0.290553	+	1.64781i	0.684748	+	0.728780i	$0.259912\pi$
$263$	4.71197	+	26.7229i	0.290553	+	1.64781i	−0.394196	+	0.919027i	$0.628977\pi$
$264$	−1.83998	+	0.324439i	−0.113243	+	0.0199678i
$265$	−40.2954			−2.47533
$266$	−10.9552	+	3.60322i	−0.671708	+	0.220927i
$267$	−10.4295			−0.638274
$268$	−14.7543	+	2.60158i	−0.901263	+	0.158917i
$269$	4.86104	+	27.5683i	0.296383	+	1.68087i	0.661528	+	0.749920i	$0.269908\pi$
$269$	4.86104	+	27.5683i	0.296383	+	1.68087i	−0.365145	+	0.930951i	$0.618981\pi$
$270$	3.35442	−	1.22091i	0.204143	−	0.0743021i
$271$	4.98710	−	13.7019i	0.302945	−	0.832333i	−0.691040	−	0.722816i	$-0.742847\pi$
$271$	4.98710	−	13.7019i	0.302945	−	0.832333i	0.993985	−	0.109517i	$-0.0349304\pi$
$272$	0.262841	+	0.722151i	0.0159371	+	0.0437868i
$273$	−9.06925	+	10.7655i	−0.548896	+	0.651556i
$274$	5.71239	−	3.29805i	0.345098	−	0.199243i
$275$	13.5938	−	4.94775i	0.819739	−	0.298361i
$276$	−1.52009	+	8.62084i	−0.0914985	+	0.518914i
$277$	6.06971	−	10.5131i	0.364694	−	0.631668i	−0.624033	−	0.781398i	$-0.714507\pi$
$277$	6.06971	−	10.5131i	0.364694	−	0.631668i	0.988727	+	0.149730i	$0.0478404\pi$
$278$	4.86491	+	8.42627i	0.291778	+	0.505374i
$279$	7.19653	−	2.61932i	0.430845	−	0.156815i
$280$	−8.18842	+	4.70626i	−0.489352	+	0.281253i
$281$	−32.7028	−	5.76638i	−1.95088	−	0.343994i	−0.999334	−	0.0365028i	$-0.988378\pi$
$281$	−32.7028	−	5.76638i	−1.95088	−	0.343994i	−0.951551	−	0.307491i	$-0.900511\pi$
$282$	8.07180	−	6.77305i	0.480669	−	0.403329i
$283$	0.253119	−	0.695439i	0.0150464	−	0.0413396i	−0.931942	−	0.362607i	$-0.881887\pi$
$283$	0.253119	−	0.695439i	0.0150464	−	0.0413396i	0.946988	+	0.321268i	$0.104109\pi$
$284$	−3.49531	+	2.01802i	−0.207409	+	0.119748i
$285$	−5.74862	+	14.4591i	−0.340519	+	0.856483i
$286$		−	9.94047i		−	0.587792i
$287$	0.00107452	−	0.549341i	6.34269e−5	−	0.0324266i
$288$	0.342020	−	0.939693i	0.0201537	−	0.0553719i
$289$	12.5703	+	10.5478i	0.739432	+	0.620457i
$290$	13.9812	+	16.6622i	0.821006	+	0.978436i
$291$	−1.56419	−	1.31251i	−0.0916947	−	0.0769410i
$292$	−11.1155	+	6.41753i	−0.650485	+	0.375558i
$293$	2.87965	+	4.98770i	0.168231	+	0.291384i	0.937798	−	0.347182i	$-0.112861\pi$
$293$	2.87965	+	4.98770i	0.168231	+	0.291384i	−0.769567	+	0.638566i	$0.779528\pi$
$294$	−6.04844	−	3.52369i	−0.352752	−	0.205506i
$295$	26.6259	−	31.7315i	1.55022	−	1.84748i
$296$	1.01078			0.0587503
$297$	−1.86837			−0.108414
$298$	−2.99377	+	3.56784i	−0.173424	+	0.206679i
$299$	−43.7652	−	15.9292i	−2.53100	−	0.921210i
$300$	−1.34451	+	7.62510i	−0.0776254	+	0.440235i
$301$	4.19208	−	2.40938i	0.241628	−	0.138874i
$302$	−8.28803	+	6.95449i	−0.476923	+	0.400186i
$303$	−5.32962	−	3.07706i	−0.306179	−	0.176772i
$304$	2.06773	+	3.83725i	0.118592	+	0.220081i
$305$	−3.24111	−	5.61378i	−0.185586	−	0.321444i
$306$	0.133448	+	0.756822i	0.00762872	+	0.0432646i
$307$	−16.3364	−	5.94598i	−0.932370	−	0.339355i	−0.169221	−	0.985578i	$-0.554125\pi$
$307$	−16.3364	−	5.94598i	−0.932370	−	0.339355i	−0.763148	+	0.646223i	$0.776347\pi$
$308$	4.86981	−	0.848860i	0.277483	−	0.0483683i
$309$	−0.0192064	−	0.108925i	−0.00109261	−	0.00619652i
$310$	−4.74721	+	26.9228i	−0.269624	+	1.52911i
$311$		−	18.9470i		−	1.07439i	−0.843459	−	0.537194i	$-0.819484\pi$
$311$		−	18.9470i		−	1.07439i	0.843459	−	0.537194i	$-0.180516\pi$
$312$	4.60760	+	2.66020i	0.260854	+	0.150604i
$313$	−2.69222	−	7.39682i	−0.152173	−	0.418093i	0.840058	−	0.542496i	$-0.182521\pi$
$313$	−2.69222	−	7.39682i	−0.152173	−	0.418093i	−0.992232	+	0.124403i	$0.960298\pi$
$314$	−11.3652	−	9.53652i	−0.641374	−	0.538177i
$315$	−8.88125	+	3.21285i	−0.500402	+	0.181024i
$316$	1.68079	+	0.970402i	0.0945516	+	0.0545894i
$317$	−2.30642	−	0.406685i	−0.129542	−	0.0228417i	0.108501	−	0.994096i	$-0.465395\pi$
$317$	−2.30642	−	0.406685i	−0.129542	−	0.0228417i	−0.238043	+	0.971255i	$0.576506\pi$
$318$	−8.64726	+	7.25591i	−0.484914	+	0.406891i
$319$	−3.89368	−	10.6978i	−0.218004	−	0.598962i
$320$	2.29456	+	2.73455i	0.128270	+	0.152866i
$321$	5.00758	+	5.96780i	0.279496	+	0.333090i
$322$	4.06638	−	22.8007i	0.226610	−	1.27063i
$323$	−2.85061	−	1.75931i	−0.158612	−	0.0978908i
$324$	0.500000	−	0.866025i	0.0277778	−	0.0481125i
$325$	−38.7101	−	14.0893i	−2.14725	−	0.781535i
$326$	−4.67075	+	0.823579i	−0.258689	+	0.0456138i
$327$	2.56609	−	3.05815i	0.141905	−	0.169116i
$328$	−0.204478	+	0.0360549i	−0.0112904	+	0.00199080i
$329$	−21.3910	+	17.8780i	−1.17932	+	0.985646i
$330$	3.33475	−	5.77596i	0.183572	−	0.317956i
$331$			27.8379i			1.53011i	0.643965	+	0.765055i	$0.277288\pi$
$331$			27.8379i			1.53011i	−0.643965	+	0.765055i	$0.722712\pi$
$332$	15.6707	+	2.76316i	0.860040	+	0.151648i
$333$	0.995423	+	0.175520i	0.0545488	+	0.00961843i
$334$			20.3712i			1.11466i
$335$	26.7404	−	46.3158i	1.46099	−	2.53050i
$336$	−0.909762	+	2.48442i	−0.0496316	+	0.135536i
$337$	−3.68382	+	0.649556i	−0.200670	+	0.0353836i	−0.273080	−	0.961991i	$-0.588042\pi$
$337$	−3.68382	+	0.649556i	−0.200670	+	0.0353836i	0.0724094	+	0.997375i	$0.476931\pi$
$338$	−9.83894	+	11.7256i	−0.535168	+	0.637788i
$339$	−0.674314	+	0.118900i	−0.0366237	+	0.00645775i
$340$	−2.57786	−	0.938264i	−0.139804	−	0.0508845i
$341$	7.15434	−	12.3917i	0.387429	−	0.671047i
$342$	1.36998	+	4.13801i	0.0740803	+	0.223758i
$343$	15.9844	+	9.35409i	0.863076	+	0.505073i
$344$	−1.17470	−	1.39996i	−0.0633358	−	0.0754806i
$345$	−20.0862	−	23.9378i	−1.08140	−	1.28877i
$346$	2.02456	+	5.56242i	0.108841	+	0.299038i
$347$	−16.5399	+	13.8786i	−0.887906	+	0.745041i	−0.967789	−	0.251763i	$-0.918990\pi$
$347$	−16.5399	+	13.8786i	−0.887906	+	0.745041i	0.0798832	+	0.996804i	$0.474545\pi$
$348$	6.00064	+	1.05808i	0.321668	+	0.0567188i
$349$	−22.2453	−	12.8434i	−1.19077	−	0.687489i	−0.232285	−	0.972648i	$-0.574620\pi$
$349$	−22.2453	−	12.8434i	−1.19077	−	0.687489i	−0.958480	+	0.285159i	$0.907954\pi$
$350$	3.59670	−	20.1671i	0.192251	−	1.07798i
$351$	4.07566	+	3.41989i	0.217543	+	0.182540i
$352$	−0.639019	−	1.75569i	−0.0340598	−	0.0935787i
$353$	−8.16123	−	4.71189i	−0.434379	−	0.250789i	0.266832	−	0.963743i	$-0.414023\pi$
$353$	−8.16123	−	4.71189i	−0.434379	−	0.250789i	−0.701210	+	0.712955i	$0.747357\pi$
$354$		−	11.6039i		−	0.616743i
$355$	2.50183	−	14.1886i	0.132783	−	0.753051i
$356$	−1.81106	−	10.2710i	−0.0959861	−	0.544364i
$357$	−0.349153	−	2.00305i	−0.0184791	−	0.106013i
$358$	−5.49739	−	2.00089i	−0.290546	−	0.105750i
$359$	−6.28724	−	35.6567i	−0.331828	−	1.88189i	−0.456548	−	0.889699i	$-0.650914\pi$
$359$	−6.28724	−	35.6567i	−0.331828	−	1.88189i	0.124720	−	0.992192i	$-0.460197\pi$
$360$	1.78485	+	3.09145i	0.0940697	+	0.162934i
$361$	−17.4422	−	7.53466i	−0.918008	−	0.396561i
$362$	15.0138	+	8.66824i	0.789110	+	0.455593i
$363$	5.75238	−	4.82682i	0.301922	−	0.253342i
$364$	−12.1768	−	7.06206i	−0.638237	−	0.370153i
$365$	7.95609	−	45.1212i	0.416441	−	2.36175i
$366$	−1.70639	−	0.621076i	−0.0891946	−	0.0324642i
$367$	−5.55979	+	6.62590i	−0.290218	+	0.345869i	−0.891378	−	0.453260i	$-0.850261\pi$
$367$	−5.55979	+	6.62590i	−0.290218	+	0.345869i	0.601160	+	0.799129i	$0.294705\pi$
$368$	−8.75383			−0.456325
$369$	−0.207632			−0.0108089
$370$	−2.31929	+	2.76402i	−0.120574	+	0.143695i
$371$	22.9160	−	19.1525i	1.18974	−	0.994351i
$372$	3.82919	+	6.63236i	0.198534	+	0.343872i
$373$	14.8945	−	8.59935i	0.771208	−	0.445257i	−0.0620971	−	0.998070i	$-0.519779\pi$
$373$	14.8945	−	8.59935i	0.771208	−	0.445257i	0.833306	+	0.552813i	$0.186446\pi$
$374$	1.09991	+	0.922937i	0.0568751	+	0.0477239i
$375$	−6.29335	−	7.50012i	−0.324987	−	0.387304i
$376$	8.07180	+	6.77305i	0.416271	+	0.349293i
$377$	−11.0877	+	30.4633i	−0.571047	+	1.56894i
$378$	−1.32735	+	2.28870i	−0.0682718	+	0.117718i
$379$			15.8472i			0.814014i	0.913425	+	0.407007i	$0.133428\pi$
$379$			15.8472i			0.814014i	−0.913425	+	0.407007i	$0.866572\pi$
$380$	−15.2377	−	3.15049i	−0.781675	−	0.161617i
$381$	15.1172	−	8.72794i	0.774480	−	0.447146i
$382$	2.79705	−	7.68482i	0.143109	−	0.393190i
$383$	−1.92832	+	1.61805i	−0.0985326	+	0.0826787i	−0.690723	−	0.723119i	$-0.742708\pi$
$383$	−1.92832	+	1.61805i	−0.0985326	+	0.0826787i	0.592191	+	0.805798i	$0.298263\pi$
$384$	0.984808	+	0.173648i	0.0502558	+	0.00886145i
$385$	−8.85280	+	15.2645i	−0.451180	+	0.777949i
$386$	−4.39674	+	1.60028i	−0.223788	+	0.0814523i
$387$	−0.913757	−	1.58267i	−0.0464489	−	0.0804518i
$388$	1.02096	−	1.76835i	0.0518311	−	0.0897742i
$389$	−1.78843	+	10.1427i	−0.0906769	+	0.514254i	0.905310	+	0.424752i	$0.139639\pi$
$389$	−1.78843	+	10.1427i	−0.0906769	+	0.514254i	−0.995987	+	0.0895021i	$0.971472\pi$
$390$	−17.8468	+	6.49572i	−0.903710	+	0.328924i
$391$	5.82601	−	3.36365i	0.294634	−	0.170107i
$392$	2.41986	−	6.56843i	0.122221	−	0.331756i
$393$	3.40923	+	9.36677i	0.171973	+	0.472491i
$394$	−4.61326	+	12.6748i	−0.232413	+	0.638549i
$395$	−6.51027	+	2.36954i	−0.327567	+	0.119225i
$396$	−0.324439	−	1.83998i	−0.0163037	−	0.0924626i
$397$	33.5435	−	5.91463i	1.68350	−	0.296847i	0.751616	−	0.659601i	$-0.229275\pi$
$397$	33.5435	−	5.91463i	1.68350	−	0.296847i	0.931885	+	0.362754i	$0.118164\pi$
$398$	−27.5504			−1.38098
$399$	−3.60322	−	10.9552i	−0.180386	−	0.548447i
$400$	−7.74273			−0.387136
$401$	−22.9862	+	4.05309i	−1.14788	+	0.202402i	−0.715048	−	0.699075i	$-0.753595\pi$
$401$	−22.9862	+	4.05309i	−1.14788	+	0.202402i	−0.432828	+	0.901477i	$0.642484\pi$
$402$	−2.60158	−	14.7543i	−0.129755	−	0.735878i
$403$	−38.2884	+	13.9359i	−1.90728	+	0.694194i
$404$	2.10483	−	5.78298i	0.104719	−	0.287714i
$405$	1.22091	+	3.35442i	0.0606674	+	0.166682i
$406$	−15.8707	−	2.83045i	−0.787650	−	0.140473i
$407$	1.63549	−	0.944253i	0.0810685	−	0.0468049i
$408$	−0.722151	+	0.262841i	−0.0357518	+	0.0130126i
$409$	−1.59110	+	9.02357i	−0.0786748	+	0.446187i	0.919868	+	0.392227i	$0.128295\pi$
$409$	−1.59110	+	9.02357i	−0.0786748	+	0.446187i	−0.998543	+	0.0539595i	$0.982816\pi$
$410$	0.370591	−	0.641883i	0.0183022	−	0.0317003i
$411$	3.29805	+	5.71239i	0.162681	+	0.281772i
$412$	0.103935	−	0.0378292i	0.00512051	−	0.00186371i
$413$	−0.0600518	+	30.7011i	−0.00295496	+	1.51070i
$414$	−8.62084	−	1.52009i	−0.423691	−	0.0747082i
$415$	−43.5132	+	36.5119i	−2.13598	+	1.79230i
$416$	−1.81968	+	4.99954i	−0.0892174	+	0.245123i
$417$	−8.42627	+	4.86491i	−0.412636	+	0.238236i
$418$	6.93040	+	4.27724i	0.338977	+	0.209207i
$419$			36.1013i			1.76366i	0.471565	+	0.881831i	$0.343689\pi$
$419$			36.1013i			1.76366i	−0.471565	+	0.881831i	$0.656311\pi$
$420$	−4.70626	−	8.18842i	−0.229642	−	0.399554i
$421$	−6.08862	+	16.7283i	−0.296741	+	0.815289i	0.698298	+	0.715807i	$0.253941\pi$
$421$	−6.08862	+	16.7283i	−0.296741	+	0.815289i	−0.995039	+	0.0994824i	$0.968281\pi$
$422$	0.835308	+	0.700907i	0.0406622	+	0.0341196i
$423$	6.77305	+	8.07180i	0.329317	+	0.392464i
$424$	−8.64726	−	7.25591i	−0.419948	−	0.352378i
$425$	5.15308	−	2.97513i	0.249961	−	0.144315i
$426$	−2.01802	−	3.49531i	−0.0977734	−	0.169349i
$427$	4.51147	+	1.65204i	0.218325	+	0.0799479i
$428$	−5.00758	+	5.96780i	−0.242050	+	0.288464i
$429$	9.94047			0.479930
$430$	6.52367			0.314599
$431$	−0.963361	+	1.14809i	−0.0464034	+	0.0553015i	−0.788747	−	0.614718i	$-0.789270\pi$
$431$	−0.963361	+	1.14809i	−0.0464034	+	0.0553015i	0.742344	+	0.670019i	$0.233714\pi$
$432$	0.939693	+	0.342020i	0.0452110	+	0.0164555i
$433$	−3.94154	+	22.3536i	−0.189418	+	1.07425i	0.730727	+	0.682669i	$0.239181\pi$
$433$	−3.94154	+	22.3536i	−0.189418	+	1.07425i	−0.920146	+	0.391576i	$0.871930\pi$
$434$	−10.0968	−	17.5674i	−0.484660	−	0.843260i
$435$	−16.6622	+	13.9812i	−0.798890	+	0.670348i
$436$	3.45728	+	1.99606i	0.165574	+	0.0955941i
$437$	29.9372	−	23.6585i	1.43209	−	1.13174i
$438$	−6.41753	−	11.1155i	−0.306642	−	0.531119i
$439$	0.785694	+	4.45589i	0.0374991	+	0.212668i	0.997800	−	0.0662989i	$-0.0211191\pi$
$439$	0.785694	+	4.45589i	0.0374991	+	0.212668i	−0.960301	+	0.278967i	$0.910008\pi$
$440$	6.26728	+	2.28110i	0.298781	+	0.108747i
$441$	3.52369	−	6.04844i	0.167795	−	0.288021i
$442$	−0.709997	−	4.02659i	−0.0337711	−	0.191526i
$443$	−0.555254	+	3.14900i	−0.0263809	+	0.149614i	−0.995153	−	0.0983396i	$-0.968647\pi$
$443$	−0.555254	+	3.14900i	−0.0263809	+	0.149614i	0.968772	+	0.247953i	$0.0797580\pi$
$444$			1.01078i			0.0479694i
$445$	32.2422	+	18.6150i	1.52843	+	0.882438i
$446$	−4.92204	−	13.5232i	−0.233065	−	0.640342i
$447$	−3.56784	−	2.99377i	−0.168753	−	0.141600i
$448$	−2.60465	−	0.464526i	−0.123058	−	0.0219468i
$449$	8.48025	+	4.89607i	0.400208	+	0.231060i	0.686574	−	0.727060i	$-0.259114\pi$
$449$	8.48025	+	4.89607i	0.400208	+	0.231060i	−0.286366	+	0.958120i	$0.592447\pi$
$450$	−7.62510	−	1.34451i	−0.359451	−	0.0633808i
$451$	−0.297174	+	0.249358i	−0.0139934	+	0.0117418i
$452$	−0.234187	−	0.643423i	−0.0110152	−	0.0302641i
$453$	−6.95449	−	8.28803i	−0.326750	−	0.389406i
$454$	4.52145	+	5.38846i	0.212202	+	0.252893i
$455$	47.2518	−	17.0937i	2.21520	−	0.801364i
$456$	−3.83725	+	2.06773i	−0.179696	+	0.0968303i
$457$	6.20310	−	10.7441i	0.290169	−	0.502587i	−0.683681	−	0.729781i	$-0.739622\pi$
$457$	6.20310	−	10.7441i	0.290169	−	0.502587i	0.973849	+	0.227194i	$0.0729553\pi$
$458$	11.3862	+	4.14425i	0.532043	+	0.193648i
$459$	−0.756822	+	0.133448i	−0.0353254	+	0.00622882i
$460$	20.0862	−	23.9378i	0.936522	−	1.11610i
$461$	−13.6151	+	2.40071i	−0.634119	+	0.111812i	−0.481462	−	0.876467i	$-0.659894\pi$
$461$	−13.6151	+	2.40071i	−0.634119	+	0.111812i	−0.152657	+	0.988279i	$0.548783\pi$
$462$	0.848860	+	4.86981i	0.0394925	+	0.226564i
$463$	3.55532	−	6.15800i	0.165230	−	0.286187i	−0.771507	−	0.636221i	$-0.780497\pi$
$463$	3.55532	−	6.15800i	0.165230	−	0.286187i	0.936737	+	0.350034i	$0.113830\pi$
$464$			6.09321i			0.282870i
$465$	−26.9228	−	4.74721i	−1.24851	−	0.220147i
$466$	6.03421	+	1.06399i	0.279530	+	0.0492886i
$467$			7.37846i			0.341435i	0.985320	+	0.170717i	$0.0546085\pi$
$467$			7.37846i			0.341435i	−0.985320	+	0.170717i	$0.945392\pi$
$468$	−2.66020	+	4.60760i	−0.122968	+	0.212987i
$469$	6.80677	+	39.0496i	0.314308	+	1.80314i
$470$	−37.0424	+	6.53158i	−1.70864	+	0.301279i
$471$	9.53652	−	11.3652i	0.439420	−	0.523680i
$472$	11.4277	−	2.01500i	0.526000	−	0.0927481i
$473$	−3.20855	−	1.16782i	−0.147529	−	0.0536963i
$474$	−0.970402	+	1.68079i	−0.0445721	+	0.0772011i
$475$	26.4793	−	20.9259i	1.21496	−	0.960145i
$476$	1.91199	−	0.691674i	0.0876358	−	0.0317028i
$477$	−7.25591	−	8.64726i	−0.332225	−	0.395931i
$478$	−9.21234	−	10.9788i	−0.421362	−	0.502160i
$479$	0.0443021	+	0.121719i	0.00202421	+	0.00556148i	0.940701	−	0.339238i	$-0.110169\pi$
$479$	0.0443021	+	0.121719i	0.00202421	+	0.00556148i	−0.938676	+	0.344799i	$0.887947\pi$
$480$	−2.73455	+	2.29456i	−0.124814	+	0.104732i
$481$	−5.29605	−	0.933836i	−0.241479	−	0.0425793i
$482$	9.00347	+	5.19815i	0.410097	+	0.236769i
$483$	22.8007	+	4.06638i	1.03747	+	0.185027i
$484$	5.75238	+	4.82682i	0.261472	+	0.219401i
$485$	2.49298	+	6.84942i	0.113201	+	0.311016i
$486$	0.866025	+	0.500000i	0.0392837	+	0.0226805i
$487$			33.3199i			1.50987i	0.655799	+	0.754935i	$0.272332\pi$
$487$			33.3199i			1.50987i	−0.655799	+	0.754935i	$0.727668\pi$
$488$	0.315329	−	1.78832i	0.0142743	−	0.0809533i
$489$	−0.823579	−	4.67075i	−0.0372435	−	0.211219i
$490$	12.4092	+	21.6888i	0.560590	+	0.979802i
$491$	−19.1177	−	6.95827i	−0.862769	−	0.314022i	−0.127534	−	0.991834i	$-0.540706\pi$
$491$	−19.1177	−	6.95827i	−0.862769	−	0.314022i	−0.735235	+	0.677812i	$0.762928\pi$
$492$	−0.0360549	−	0.204478i	−0.00162548	−	0.00921856i
$493$	−2.34131	−	4.05526i	−0.105447	−	0.182640i
$494$	−7.28887	−	22.0159i	−0.327942	−	0.990542i
$495$	5.77596	+	3.33475i	0.259610	+	0.149886i
$496$	−5.86667	+	4.92272i	−0.263421	+	0.221037i
$497$	5.32108	+	9.25816i	0.238683	+	0.415285i
$498$	−2.76316	+	15.6707i	−0.123820	+	0.702220i
$499$	−21.1341	−	7.69218i	−0.946092	−	0.344349i	−0.177523	−	0.984117i	$-0.556808\pi$
$499$	−21.1341	−	7.69218i	−0.946092	−	0.344349i	−0.768569	+	0.639767i	$0.779031\pi$
$500$	6.29335	−	7.50012i	0.281447	−	0.335415i
$501$	−20.3712			−0.910118
$502$	−15.4841			−0.691091
$503$	19.6770	−	23.4502i	0.877356	−	1.04559i	−0.121240	−	0.992623i	$-0.538687\pi$
$503$	19.6770	−	23.4502i	0.877356	−	1.04559i	0.998596	−	0.0529690i	$-0.0168685\pi$
$504$	−2.48442	−	0.909762i	−0.110665	−	0.0405240i
$505$	10.9842	+	19.0251i	0.488789	+	0.846607i
$506$	−14.1642	+	8.17769i	−0.629674	+	0.363543i
$507$	−11.7256	−	9.83894i	−0.520752	−	0.436963i
$508$	11.2204	+	13.3720i	0.497826	+	0.593286i
$509$	7.78239	+	6.53020i	0.344949	+	0.289446i	0.798758	−	0.601653i	$-0.205491\pi$
$509$	7.78239	+	6.53020i	0.344949	+	0.289446i	−0.453809	+	0.891099i	$0.649935\pi$
$510$	0.938264	−	2.57786i	0.0415470	−	0.114149i
$511$	16.9216	+	29.4420i	0.748569	+	1.30244i
$512$			1.00000i			0.0441942i
$513$	−4.13801	+	1.36998i	−0.182698	+	0.0604863i
$514$	−14.2780	+	8.24340i	−0.629775	+	0.363601i
$515$	−0.135039	+	0.371016i	−0.00595052	+	0.0163489i
$516$	1.39996	−	1.17470i	0.0616297	−	0.0517134i
$517$	19.3879	+	3.41861i	0.852678	+	0.150350i
$518$	0.00523090	−	2.67426i	0.000229833	−	0.117500i
$519$	−5.56242	+	2.02456i	−0.244163	+	0.0888681i
$520$	−9.49611	−	16.4477i	−0.416432	−	0.721281i
$521$	3.69588	−	6.40144i	0.161919	−	0.280452i	−0.773638	−	0.633628i	$-0.781565\pi$
$521$	3.69588	−	6.40144i	0.161919	−	0.280452i	0.935557	+	0.353176i	$0.114898\pi$
$522$	−1.05808	+	6.00064i	−0.0463107	+	0.262641i
$523$	−20.8847	+	7.60140i	−0.913223	+	0.332386i	−0.755539	−	0.655103i	$-0.772625\pi$
$523$	−20.8847	+	7.60140i	−0.913223	+	0.332386i	−0.157684	+	0.987490i	$0.550403\pi$
$524$	−8.63247	+	4.98396i	−0.377111	+	0.217725i
$525$	20.1671	+	3.59670i	0.880165	+	0.156973i
$526$	−9.28078	−	25.4987i	−0.404661	−	1.11180i
$527$	2.01294	−	5.53051i	0.0876851	−	0.240913i
$528$	1.75569	−	0.639019i	0.0764067	−	0.0278097i
$529$	9.31268	+	52.8148i	0.404899	+	2.29630i
$530$	39.6832	−	6.99723i	1.72373	−	0.303940i
$531$	11.6039			0.503568
$532$	10.1631	−	5.45083i	0.440626	−	0.236323i
$533$	1.10469			0.0478492
$534$	10.2710	−	1.81106i	0.444471	−	0.0783723i
$535$	−4.82905	−	27.3869i	−0.208778	−	1.18404i
$536$	14.0784	−	5.12412i	0.608094	−	0.221328i
$537$	2.00089	−	5.49739i	0.0863446	−	0.237230i
$538$	−9.57438	−	26.3054i	−0.412781	−	1.13411i
$539$	−2.22067	−	12.8887i	−0.0956509	−	0.555154i
$540$	−3.09145	+	1.78485i	−0.133035	+	0.0768076i
$541$	0.973229	−	0.354226i	0.0418424	−	0.0152294i	−0.321014	−	0.947074i	$-0.604024\pi$
$541$	0.973229	−	0.354226i	0.0418424	−	0.0152294i	0.362857	+	0.931845i	$0.381801\pi$
$542$	−2.53201	+	14.3598i	−0.108759	+	0.616805i
$543$	−8.66824	+	15.0138i	−0.371990	+	0.644305i
$544$	−0.384248	−	0.665538i	−0.0164745	−	0.0285347i
$545$	−13.3913	+	4.87402i	−0.573618	+	0.208780i
$546$	7.06206	−	12.1768i	0.302228	−	0.521118i
$547$	−19.9151	−	3.51157i	−0.851508	−	0.150144i	−0.269172	−	0.963092i	$-0.586750\pi$
$547$	−19.9151	−	3.51157i	−0.851508	−	0.150144i	−0.582336	+	0.812948i	$0.697861\pi$
$548$	−5.05291	+	4.23989i	−0.215849	+	0.181119i
$549$	0.621076	−	1.70639i	0.0265069	−	0.0728271i
$550$	−12.5282	+	7.23313i	−0.534202	+	0.308422i
$551$	−16.4678	−	20.8382i	−0.701552	−	0.887735i
$552$		−	8.75383i		−	0.372588i
$553$	2.57614	−	4.44191i	0.109548	−	0.188889i
$554$	−4.15193	+	11.4073i	−0.176399	+	0.484651i
$555$	−2.76402	−	2.31929i	−0.117326	−	0.0984483i
$556$	−6.25421	−	7.45348i	−0.265238	−	0.316098i
$557$	17.9711	+	15.0796i	0.761460	+	0.638941i	0.938507	−	0.345261i	$-0.112210\pi$
$557$	17.9711	+	15.0796i	0.761460	+	0.638941i	−0.177046	+	0.984203i	$0.556654\pi$
$558$	−6.63236	+	3.82919i	−0.280770	+	0.162103i
$559$	4.86156	+	8.42046i	0.205622	+	0.356148i
$560$	7.24679	−	6.05666i	0.306233	−	0.255941i
$561$	−0.922937	+	1.09991i	−0.0389664	+	0.0464384i
$562$	33.2073			1.40076
$563$	44.1847			1.86216			0.931082	−	0.364809i	$-0.118866\pi$
$563$	44.1847			1.86216			0.931082	+	0.364809i	$0.118866\pi$
$564$	−6.77305	+	8.07180i	−0.285197	+	0.339884i
$565$	2.29682	+	0.835976i	0.0966281	+	0.0351698i
$566$	−0.128512	+	0.728827i	−0.00540176	+	0.0306349i
$567$	−2.28870	−	1.32735i	−0.0961162	−	0.0557437i
$568$	3.09179	−	2.59432i	0.129729	−	0.108855i
$569$	26.0077	+	15.0155i	1.09030	+	0.629485i	0.933656	−	0.358171i	$-0.116599\pi$
$569$	26.0077	+	15.0155i	1.09030	+	0.629485i	0.156643	+	0.987655i	$0.449933\pi$
$570$	3.15049	−	15.2377i	0.131959	−	0.638235i
$571$	1.92967	+	3.34229i	0.0807544	+	0.139871i	0.903574	−	0.428432i	$-0.140934\pi$
$571$	1.92967	+	3.34229i	0.0807544	+	0.139871i	−0.822820	+	0.568302i	$0.807600\pi$
$572$	1.72614	+	9.78945i	0.0721737	+	0.409317i
$573$	7.68482	+	2.79705i	0.321038	+	0.116848i
$574$	0.0943339	+	0.541182i	0.00393742	+	0.0225885i
$575$	11.7696	+	66.7488i	0.490827	+	2.78362i
$576$	−0.173648	+	0.984808i	−0.00723534	+	0.0410337i
$577$		−	16.5324i		−	0.688254i	−0.938923	−	0.344127i	$-0.888175\pi$
$577$		−	16.5324i		−	0.688254i	0.938923	−	0.344127i	$-0.111825\pi$
$578$	−14.2110	−	8.20471i	−0.591098	−	0.341271i
$579$	−1.60028	−	4.39674i	−0.0665055	−	0.182722i
$580$	−16.6622	−	13.9812i	−0.691859	−	0.580539i
$581$	7.39173	−	41.4463i	0.306660	−	1.71948i
$582$	1.76835	+	1.02096i	0.0733003	+	0.0423200i
$583$	−20.7701	−	3.66233i	−0.860209	−	0.151678i
$584$	9.83223	−	8.25022i	0.406861	−	0.341397i
$585$	−6.49572	−	17.8468i	−0.268565	−	0.737876i
$586$	−3.70201	−	4.41188i	−0.152928	−	0.182253i
$587$	−18.1056	−	21.5774i	−0.747297	−	0.890593i	0.249677	−	0.968329i	$-0.419675\pi$
$587$	−18.1056	−	21.5774i	−0.747297	−	0.890593i	−0.996974	+	0.0777357i	$0.975231\pi$
$588$	6.56843	+	2.41986i	0.270878	+	0.0997932i
$589$	6.75902	−	32.6907i	0.278501	−	1.34700i
$590$	−20.7113	+	35.8730i	−0.852670	+	1.47687i
$591$	−12.6748	−	4.61326i	−0.521373	−	0.189764i
$592$	−0.995423	+	0.175520i	−0.0409116	+	0.00721382i
$593$	−11.5186	+	13.7273i	−0.473012	+	0.563714i	−0.948813	−	0.315839i	$-0.897714\pi$
$593$	−11.5186	+	13.7273i	−0.473012	+	0.563714i	0.475800	+	0.879553i	$0.342158\pi$
$594$	1.83998	−	0.324439i	0.0754954	−	0.0133119i
$595$	−2.49575	+	6.81550i	−0.102316	+	0.279408i
$596$	2.32874	−	4.03350i	0.0953889	−	0.165218i
$597$		−	27.5504i		−	1.12756i
$598$	45.8663	+	8.08747i	1.87561	+	0.330721i
$599$	−12.0643	−	2.12726i	−0.492933	−	0.0869173i	−0.0783443	−	0.996926i	$-0.524963\pi$
$599$	−12.0643	−	2.12726i	−0.492933	−	0.0869173i	−0.414588	+	0.910009i	$0.636074\pi$
$600$		−	7.74273i		−	0.316096i
$601$	−8.06921	+	13.9763i	−0.329150	+	0.570104i	−0.982343	−	0.187087i	$-0.940095\pi$
$601$	−8.06921	+	13.9763i	−0.329150	+	0.570104i	0.653194	+	0.757191i	$0.273429\pi$
$602$	−3.71001	+	3.10072i	−0.151209	+	0.126376i
$603$	14.7543	−	2.60158i	0.600842	−	0.105945i
$604$	6.95449	−	8.28803i	0.282974	−	0.337235i
$605$	−26.3983	+	4.65474i	−1.07324	+	0.189242i
$606$	5.78298	+	2.10483i	0.234917	+	0.0855030i
$607$	−9.54482	+	16.5321i	−0.387412	+	0.671018i	−0.992101	−	0.125444i	$-0.959964\pi$
$607$	−9.54482	+	16.5321i	−0.387412	+	0.671018i	0.604688	+	0.796462i	$0.293298\pi$
$608$	−2.70265	−	3.41990i	−0.109607	−	0.138695i
$609$	2.83045	−	15.8707i	0.114696	−	0.643113i
$610$	4.16670	+	4.96568i	0.168705	+	0.201054i
$611$	−36.0353	−	42.9452i	−1.45783	−	1.73738i
$612$	−0.262841	−	0.722151i	−0.0106247	−	0.0291912i
$613$	15.1808	−	12.7382i	0.613148	−	0.514492i	−0.282493	−	0.959269i	$-0.591161\pi$
$613$	15.1808	−	12.7382i	0.613148	−	0.514492i	0.895641	+	0.444777i	$0.146717\pi$
$614$	17.1208	+	3.01885i	0.690937	+	0.121831i
$615$	0.641883	+	0.370591i	0.0258832	+	0.0149437i
$616$	−4.64842	+	1.68160i	−0.187290	+	0.0677535i
$617$	4.75857	+	3.99292i	0.191573	+	0.160749i	0.733529	−	0.679658i	$-0.237872\pi$
$617$	4.75857	+	3.99292i	0.191573	+	0.160749i	−0.541956	+	0.840407i	$0.682316\pi$
$618$	0.0378292	+	0.103935i	0.00152171	+	0.00418088i
$619$	18.5040	+	10.6833i	0.743737	+	0.429397i	0.823427	−	0.567423i	$-0.192059\pi$
$619$	18.5040	+	10.6833i	0.743737	+	0.429397i	−0.0796893	+	0.996820i	$0.525393\pi$
$620$		−	27.3381i		−	1.09793i
$621$	1.52009	−	8.62084i	0.0609990	−	0.345942i
$622$	3.29012	+	18.6592i	0.131922	+	0.748165i
$623$	−27.1839	+	4.73846i	−1.08910	+	0.189842i
$624$	−4.99954	−	1.81968i	−0.200142	−	0.0728457i
$625$	−0.653576	−	3.70662i	−0.0261431	−	0.148265i
$626$	3.93577	+	6.81695i	0.157305	+	0.272460i
$627$	−4.27724	+	6.93040i	−0.170816	+	0.276773i
$628$	12.8485	+	7.41810i	0.512712	+	0.296014i
$629$	0.595048	−	0.499305i	0.0237261	−	0.0199086i
$630$	8.18842	−	4.70626i	0.326235	−	0.187502i
$631$	−2.68602	+	15.2332i	−0.106929	+	0.606424i	0.883503	+	0.468425i	$0.155178\pi$
$631$	−2.68602	+	15.2332i	−0.106929	+	0.606424i	−0.990432	+	0.137999i	$0.955933\pi$
$632$	−1.82376	−	0.663794i	−0.0725453	−	0.0264043i
$633$	−0.700907	+	0.835308i	−0.0278586	+	0.0332005i
$634$	2.34200			0.0930129
$635$	−62.3122			−2.47278
$636$	7.25591	−	8.64726i	0.287716	−	0.342886i
$637$	−18.7474	+	32.1801i	−0.742801	+	1.27502i
$638$	5.69218	+	9.85915i	0.225356	+	0.390327i
$639$	3.49531	−	2.01802i	0.138273	−	0.0798317i
$640$	−2.73455	−	2.29456i	−0.108092	−	0.0907003i
$641$	−23.6815	−	28.2225i	−0.935362	−	1.11472i	−0.993203	−	0.116395i	$-0.962866\pi$
$641$	−23.6815	−	28.2225i	−0.935362	−	1.11472i	0.0578415	−	0.998326i	$-0.481578\pi$
$642$	−5.96780	−	5.00758i	−0.235530	−	0.197633i
$643$	11.6156	−	31.9135i	0.458074	−	1.25855i	−0.468843	−	0.883281i	$-0.655329\pi$
$643$	11.6156	−	31.9135i	0.458074	−	1.25855i	0.926917	−	0.375266i	$-0.122449\pi$
$644$	−0.0453021	+	23.1604i	−0.00178515	+	0.912648i
$645$			6.52367i			0.256869i
$646$	3.11280	+	1.23758i	0.122472	+	0.0486920i
$647$	5.84272	−	3.37330i	0.229701	−	0.132618i	−0.380733	−	0.924685i	$-0.624328\pi$
$647$	5.84272	−	3.37330i	0.229701	−	0.132618i	0.610434	+	0.792067i	$0.290995\pi$
$648$	−0.342020	+	0.939693i	−0.0134358	+	0.0369146i
$649$	16.6082	−	13.9359i	0.651928	−	0.547033i
$650$	40.5686	+	7.15334i	1.59123	+	0.280577i
$651$	17.5674	−	10.0968i	0.688519	−	0.395723i
$652$	4.45678	−	1.62213i	0.174541	−	0.0635277i
$653$	−19.7703	−	34.2432i	−0.773673	−	1.34004i	−0.935538	−	0.353227i	$-0.885084\pi$
$653$	−19.7703	−	34.2432i	−0.773673	−	1.34004i	0.161865	−	0.986813i	$-0.448249\pi$
$654$	−1.99606	+	3.45728i	−0.0780522	+	0.135190i
$655$	6.17882	−	35.0418i	0.241427	−	1.36920i
$656$	0.195110	−	0.0710143i	0.00761777	−	0.00277264i
$657$	11.1155	−	6.41753i	0.433657	−	0.250372i
$658$	17.9615	−	21.3209i	0.700214	−	0.831175i
$659$	1.19817	+	3.29195i	0.0466741	+	0.128236i	0.960840	−	0.277105i	$-0.0893750\pi$
$659$	1.19817	+	3.29195i	0.0466741	+	0.128236i	−0.914166	+	0.405341i	$0.867153\pi$
$660$	−2.28110	+	6.26728i	−0.0887919	+	0.243954i
$661$	−39.2564	+	14.2882i	−1.52690	+	0.555745i	−0.962859	−	0.270003i	$-0.912975\pi$
$661$	−39.2564	+	14.2882i	−1.52690	+	0.555745i	−0.564038	+	0.825749i	$0.690753\pi$
$662$	−4.83400	−	27.4150i	−0.187879	−	1.06551i
$663$	4.02659	−	0.709997i	0.156380	−	0.0275740i
$664$	−15.9124			−0.617522
$665$	−8.41425	+	40.2987i	−0.326290	+	1.56272i
$666$	−1.01078			−0.0391669
$667$	52.5286	−	9.26221i	2.03392	−	0.358634i
$668$	−3.53742	−	20.0617i	−0.136867	−	0.776211i
$669$	13.5232	−	4.92204i	0.522837	−	0.190297i
$670$	−18.2915	+	50.2556i	−0.706664	+	1.94154i
$671$	−1.16040	−	3.18817i	−0.0447967	−	0.123078i
$672$	0.464526	−	2.60465i	0.0179195	−	0.100477i
$673$	−12.9196	+	7.45912i	−0.498013	+	0.287528i	−0.727893	−	0.685691i	$-0.759500\pi$
$673$	−12.9196	+	7.45912i	−0.498013	+	0.287528i	0.229880	+	0.973219i	$0.426167\pi$
$674$	3.51506	−	1.27938i	0.135395	−	0.0492797i
$675$	1.34451	−	7.62510i	0.0517502	−	0.293490i
$676$	7.65334	−	13.2560i	0.294359	−	0.509845i
$677$	12.0544	+	20.8789i	0.463289	+	0.802440i	0.999122	−	0.0418839i	$-0.0133360\pi$
$677$	12.0544	+	20.8789i	0.463289	+	0.802440i	−0.535834	+	0.844323i	$0.680003\pi$
$678$	0.643423	−	0.234187i	0.0247105	−	0.00899389i
$679$	−4.67331	−	2.71034i	−0.179345	−	0.104013i
$680$	2.70162	+	0.476369i	0.103603	+	0.0182679i
$681$	−5.38846	+	4.52145i	−0.206486	+	0.173262i
$682$	−4.89386	+	13.4458i	−0.187396	+	0.514865i
$683$	−10.9616	+	6.32870i	−0.419435	+	0.242161i	−0.694836	−	0.719169i	$-0.744523\pi$
$683$	−10.9616	+	6.32870i	−0.419435	+	0.242161i	0.275400	+	0.961330i	$0.411190\pi$
$684$	−2.06773	−	3.83725i	−0.0790616	−	0.146721i
$685$		−	23.5461i		−	0.899649i
$686$	−17.3659	−	6.43632i	−0.663032	−	0.245740i
$687$	−4.14425	+	11.3862i	−0.158113	+	0.434412i
$688$	1.39996	+	1.17470i	0.0533729	+	0.0447852i
$689$	38.6044	+	46.0069i	1.47071	+	1.75272i
$690$	23.9378	+	20.0862i	0.911295	+	0.764667i
$691$	35.4472	−	20.4654i	1.34847	−	0.778542i	0.360441	−	0.932782i	$-0.382626\pi$
$691$	35.4472	−	20.4654i	1.34847	−	0.778542i	0.988033	+	0.154240i	$0.0492928\pi$
$692$	−2.95970	−	5.12635i	−0.112511	−	0.194875i
$693$	−4.86981	+	0.848860i	−0.184989	+	0.0322455i
$694$	13.8786	−	16.5399i	0.526824	−	0.627844i
$695$	34.7325			1.31748
$696$	−6.09321			−0.230963
$697$	−0.102566	+	0.122233i	−0.00388497	+	0.00462992i
$698$	24.1376	+	8.78537i	0.913622	+	0.332531i
$699$	−1.06399	+	6.03421i	−0.0402440	+	0.228235i
$700$	−0.0400696	+	20.4853i	−0.00151449	+	0.774271i
$701$	0.762950	−	0.640191i	0.0288162	−	0.0241797i	−0.628266	−	0.777999i	$-0.716235\pi$
$701$	0.762950	−	0.640191i	0.0288162	−	0.0241797i	0.657082	+	0.753819i	$0.271791\pi$
$702$	−4.60760	−	2.66020i	−0.173903	−	0.100403i
$703$	2.92987	−	3.29054i	0.110502	−	0.124105i
$704$	0.934184	+	1.61805i	0.0352084	+	0.0609827i
$705$	−6.53158	−	37.0424i	−0.245993	−	1.39510i
$706$	8.85546	+	3.22312i	0.333280	+	0.121304i
$707$	−15.2894	−	5.59878i	−0.575017	−	0.210564i
$708$	2.01500	+	11.4277i	0.0757285	+	0.429478i
$709$	0.309043	−	1.75267i	0.0116063	−	0.0658229i	−0.978454	−	0.206463i	$-0.933805\pi$
$709$	0.309043	−	1.75267i	0.0116063	−	0.0658229i	0.990061	+	0.140640i	$0.0449159\pi$
$710$			14.4074i			0.540702i
$711$	−1.68079	−	0.970402i	−0.0630344	−	0.0363929i
$712$	3.56709	+	9.80051i	0.133683	+	0.367290i
$713$	51.3558	+	43.0926i	1.92329	+	1.61383i
$714$	0.691674	+	1.91199i	0.0258853	+	0.0715543i
$715$	−30.7304	−	17.7422i	−1.14925	−	0.663521i
$716$	5.76132	+	1.01588i	0.215311	+	0.0379651i
$717$	10.9788	−	9.21234i	0.410012	−	0.344041i
$718$	12.3835	+	34.0233i	0.462146	+	1.26974i
$719$	2.93613	+	3.49914i	0.109499	+	0.130496i	0.818010	−	0.575204i	$-0.195077\pi$
$719$	2.93613	+	3.49914i	0.109499	+	0.130496i	−0.708511	+	0.705700i	$0.750633\pi$
$720$	−2.29456	−	2.73455i	−0.0855131	−	0.101911i
$721$	−0.0995487	−	0.275181i	−0.00370739	−	0.0102483i
$722$	18.4856	+	4.39139i	0.687961	+	0.163431i
$723$	−5.19815	+	9.00347i	−0.193321	+	0.334842i
$724$	−16.2910	−	5.92943i	−0.605449	−	0.220365i
$725$	46.4614	−	8.19239i	1.72553	−	0.304258i
$726$	−4.82682	+	5.75238i	−0.179140	+	0.213491i
$727$	20.1564	−	3.55412i	0.747560	−	0.131815i	0.213125	−	0.977025i	$-0.431636\pi$
$727$	20.1564	−	3.55412i	0.747560	−	0.131815i	0.534435	+	0.845210i	$0.320525\pi$
$728$	13.2181	+	4.84030i	0.489895	+	0.179393i
$729$	−0.500000	+	0.866025i	−0.0185185	+	0.0320750i
$730$			45.8173i			1.69577i
$731$	−1.38310	−	0.243878i	−0.0511559	−	0.00902016i
$732$	1.78832	+	0.315329i	0.0660981	+	0.0116549i
$733$			38.2617i			1.41323i	0.707599	+	0.706614i	$0.249778\pi$
$733$			38.2617i			1.41323i	−0.707599	+	0.706614i	$0.750222\pi$
$734$	4.32475	−	7.49068i	0.159629	−	0.276486i
$735$	−21.6888	+	12.4092i	−0.800005	+	0.457720i
$736$	8.62084	−	1.52009i	0.317768	−	0.0560312i
$737$	17.9927	−	21.4429i	0.662771	−	0.789860i
$738$	0.204478	−	0.0360549i	0.00752692	−	0.00132720i
$739$	31.4796	+	11.4576i	1.15800	+	0.421476i	0.848381	−	0.529386i	$-0.177578\pi$
$739$	31.4796	+	11.4576i	1.15800	+	0.421476i	0.309615	+	0.950862i	$0.399800\pi$
$740$	1.80409	−	3.12477i	0.0663195	−	0.114869i
$741$	22.0159	−	7.28887i	0.808774	−	0.267763i
$742$	−19.2420	+	22.8409i	−0.706398	+	0.838516i
$743$	21.1886	+	25.2516i	0.777334	+	0.926390i	0.998810	−	0.0487755i	$-0.0155319\pi$
$743$	21.1886	+	25.2516i	0.777334	+	0.926390i	−0.221476	+	0.975166i	$0.571087\pi$
$744$	−4.92272	−	5.86667i	−0.180476	−	0.215082i
$745$	5.68635	+	15.6231i	0.208332	+	0.572387i
$746$	−13.1750	+	11.0551i	−0.482370	+	0.404756i
$747$	−15.6707	−	2.76316i	−0.573360	−	0.101099i
$748$	−1.24347	−	0.717917i	−0.0454657	−	0.0262497i
$749$	15.7634	+	13.2797i	0.575981	+	0.485228i
$750$	7.50012	+	6.29335i	0.273866	+	0.229800i
$751$	−7.87180	−	21.6276i	−0.287246	−	0.789202i	−0.996449	−	0.0841976i	$-0.973167\pi$
$751$	−7.87180	−	21.6276i	−0.287246	−	0.789202i	0.709203	−	0.705004i	$-0.249055\pi$
$752$	−9.12530	−	5.26850i	−0.332765	−	0.192122i
$753$		−	15.4841i		−	0.564274i
$754$	5.62939	−	31.9258i	0.205010	−	1.16267i
$755$	6.70655	+	38.0347i	0.244076	+	1.38423i
$756$	0.909762	−	2.48442i	0.0330877	−	0.0903574i
$757$	−23.9536	−	8.71840i	−0.870608	−	0.316876i	−0.132195	−	0.991224i	$-0.542202\pi$
$757$	−23.9536	−	8.71840i	−0.870608	−	0.316876i	−0.738413	+	0.674348i	$0.764425\pi$
$758$	−2.75183	−	15.6064i	−0.0999510	−	0.566850i
$759$	−8.17769	−	14.1642i	−0.296831	−	0.514127i
$760$	15.5532	+	0.456632i	0.564175	+	0.0165638i
$761$	−5.62672	−	3.24859i	−0.203969	−	0.117761i	0.394537	−	0.918880i	$-0.370905\pi$
$761$	−5.62672	−	3.24859i	−0.203969	−	0.117761i	−0.598505	+	0.801119i	$0.704238\pi$
$762$	−13.3720	+	11.2204i	−0.484416	+	0.406473i
$763$	5.29897	−	9.13676i	0.191836	−	0.330773i
$764$	−1.42010	+	8.05377i	−0.0513773	+	0.291375i
$765$	2.57786	+	0.938264i	0.0932027	+	0.0339230i
$766$	1.61805	−	1.92832i	0.0584627	−	0.0696731i
$767$	−61.7377			−2.22922
$768$	−1.00000			−0.0360844
$769$	26.2081	−	31.2336i	0.945087	−	1.12631i	−0.0467634	−	0.998906i	$-0.514891\pi$
$769$	26.2081	−	31.2336i	0.945087	−	1.12631i	0.991851	−	0.127405i	$-0.0406649\pi$
$770$	6.06766	−	16.5698i	0.218663	−	0.597136i
$771$	−8.24340	−	14.2780i	−0.296879	−	0.514209i
$772$	4.05206	−	2.33946i	0.145837	−	0.0841989i
$773$	−19.2356	−	16.1406i	−0.691856	−	0.580536i	0.227588	−	0.973758i	$-0.426916\pi$
$773$	−19.2356	−	16.1406i	−0.691856	−	0.580536i	−0.919444	+	0.393221i	$0.871361\pi$
$774$	1.17470	+	1.39996i	0.0422238	+	0.0503204i
$775$	45.4240	+	38.1153i	1.63168	+	1.36914i
$776$	−0.698374	+	1.91877i	−0.0250702	+	0.0688798i
$777$	2.67426	+	0.00523090i	0.0959387	+	0.000187658i
$778$		−	10.2991i		−	0.369242i
$779$	−0.475330	+	0.770176i	−0.0170305	+	0.0275944i
$780$	16.4477	−	9.49611i	0.588924	−	0.340015i
$781$	2.57911	−	7.08604i	0.0922878	−	0.253559i
$782$	−5.15340	+	4.32422i	−0.184285	+	0.154634i
$783$	−6.00064	−	1.05808i	−0.214445	−	0.0378125i
$784$	−1.24250	+	6.88885i	−0.0443749	+	0.246030i
$785$	−49.7668	+	18.1136i	−1.77625	+	0.646503i
$786$	−4.98396	−	8.63247i	−0.177772	−	0.307910i
$787$	18.9764	−	32.8680i	0.676435	−	1.17162i	−0.299613	−	0.954061i	$-0.596857\pi$
$787$	18.9764	−	32.8680i	0.676435	−	1.17162i	0.976047	−	0.217558i	$-0.0698092\pi$
$788$	2.34221	−	13.2834i	0.0834379	−	0.473200i
$789$	25.4987	−	9.28078i	0.907779	−	0.330404i
$790$	5.99990	−	3.46404i	0.213467	−	0.123245i
$791$	−1.70355	+	0.616269i	−0.0605711	+	0.0219120i
$792$	0.639019	+	1.75569i	0.0227066	+	0.0623858i
$793$	−3.30437	+	9.07870i	−0.117342	+	0.322394i
$794$	−32.0069	+	11.6495i	−1.13588	+	0.413427i
$795$	6.99723	+	39.6832i	0.248166	+	1.40742i
$796$	27.1318	−	4.78408i	0.961663	−	0.169567i
$797$	10.4356			0.369647			0.184823	−	0.982772i	$-0.440829\pi$
$797$	10.4356			0.369647			0.184823	+	0.982772i	$0.440829\pi$
$798$	5.45083	+	10.1631i	0.192957	+	0.359770i
$799$	8.09764			0.286474
$800$	7.62510	−	1.34451i	0.269588	−	0.0475356i
$801$	1.81106	+	10.2710i	0.0639907	+	0.362909i
$802$	21.9332	−	7.98303i	0.774488	−	0.281890i
$803$	8.20186	−	22.5344i	0.289437	−	0.795222i
$804$	5.12412	+	14.0784i	0.180714	+	0.496507i
$805$	−63.2293	−	53.2668i	−2.22854	−	1.87741i
$806$	35.2868	−	20.3729i	1.24293	−	0.717603i
$807$	26.3054	−	9.57438i	0.925994	−	0.337034i
$808$	−1.06865	+	6.06062i	−0.0375950	+	0.213212i
$809$	−10.3967	+	18.0076i	−0.365529	+	0.633114i	−0.988861	−	0.148843i	$-0.952445\pi$
$809$	−10.3967	+	18.0076i	−0.365529	+	0.633114i	0.623332	+	0.781957i	$0.285778\pi$
$810$	−1.78485	−	3.09145i	−0.0627132	−	0.108622i
$811$	−45.1549	+	16.4351i	−1.58560	+	0.577113i	−0.976413	−	0.215910i	$-0.930728\pi$
$811$	−45.1549	+	16.4351i	−1.58560	+	0.577113i	−0.609191	+	0.793023i	$0.708506\pi$
$812$	16.1211	+	0.0315331i	0.565740	+	0.00110660i
$813$	−14.3598	−	2.53201i	−0.503619	−	0.0888016i
$814$	−1.44668	+	1.21391i	−0.0507061	+	0.0425475i
$815$	−5.79052	+	15.9093i	−0.202833	+	0.557280i
$816$	0.665538	−	0.384248i	0.0232985	−	0.0134514i
$817$	−7.96252	−	0.233774i	−0.278573	−	0.00817871i
$818$		−	9.16277i		−	0.320369i
$819$	12.1768	+	7.06206i	0.425491	+	0.246768i
$820$	−0.253499	+	0.696484i	−0.00885258	+	0.0243223i
$821$	6.75396	+	5.66724i	0.235715	+	0.197788i	0.752992	−	0.658030i	$-0.228610\pi$
$821$	6.75396	+	5.66724i	0.235715	+	0.197788i	−0.517277	+	0.855818i	$0.673054\pi$
$822$	−4.23989	−	5.05291i	−0.147883	−	0.176240i
$823$	−9.16437	−	7.68982i	−0.319450	−	0.268050i	0.468935	−	0.883233i	$-0.344638\pi$
$823$	−9.16437	−	7.68982i	−0.319450	−	0.268050i	−0.788385	+	0.615182i	$0.789082\pi$
$824$	−0.0957870	+	0.0553026i	−0.00333690	+	0.00192656i
$825$	−7.23313	−	12.5282i	−0.251825	−	0.436174i
$826$	−5.27205	−	30.2451i	−0.183438	−	1.05236i
$827$	−6.61346	+	7.88162i	−0.229973	+	0.274071i	−0.868674	−	0.495384i	$-0.835027\pi$
$827$	−6.61346	+	7.88162i	−0.229973	+	0.274071i	0.638702	+	0.769455i	$0.279472\pi$
$828$	8.75383			0.304217
$829$	−18.4713			−0.641535			−0.320768	−	0.947158i	$-0.603941\pi$
$829$	−18.4713			−0.641535			−0.320768	+	0.947158i	$0.603941\pi$
$830$	36.5119	−	43.5132i	1.26735	−	1.51037i
$831$	−11.4073	−	4.15193i	−0.395716	−	0.144029i
$832$	0.923878	−	5.23957i	0.0320297	−	0.181650i
$833$	−1.82010	−	5.06221i	−0.0630627	−	0.175395i
$834$	7.45348	−	6.25421i	0.258093	−	0.216566i
$835$	62.9765	+	36.3595i	2.17939	+	1.25827i
$836$	−7.56784	−	3.00881i	−0.261739	−	0.104062i
$837$	−3.82919	−	6.63236i	−0.132356	−	0.229248i
$838$	−6.26892	−	35.5528i	−0.216556	−	1.22815i
$839$	−30.7042	−	11.1754i	−1.06003	−	0.385818i	−0.247588	−	0.968865i	$-0.579638\pi$
$839$	−30.7042	−	11.1754i	−1.06003	−	0.385818i	−0.812438	+	0.583047i	$0.801860\pi$
$840$	6.05666	+	7.24679i	0.208975	+	0.250038i
$841$	−1.41128	−	8.00377i	−0.0486649	−	0.275992i
$842$	3.09127	−	17.5315i	0.106532	−	0.604175i
$843$			33.2073i			1.14372i
$844$	−0.944329	−	0.545209i	−0.0325052	−	0.0187669i
$845$	18.6880	+	51.3450i	0.642888	+	1.76632i
$846$	−8.07180	−	6.77305i	−0.277514	−	0.232862i
$847$	12.8003	−	15.1944i	0.439824	−	0.522085i
$848$	9.77586	+	5.64410i	0.335704	+	0.193819i
$849$	−0.728827	−	0.128512i	−0.0250133	−	0.00441052i
$850$	−4.55816	+	3.82475i	−0.156344	+	0.131188i
$851$	3.02626	+	8.31458i	0.103739	+	0.285020i
$852$	2.59432	+	3.09179i	0.0888799	+	0.105923i
$853$	−4.50887	−	5.37347i	−0.154381	−	0.183984i	0.683310	−	0.730128i	$-0.260540\pi$
$853$	−4.50887	−	5.37347i	−0.154381	−	0.183984i	−0.837691	+	0.546144i	$0.816095\pi$
$854$	−4.72980	−	0.843534i	−0.161851	−	0.0288652i
$855$	15.2377	+	3.15049i	0.521117	+	0.107744i
$856$	3.89520	−	6.74669i	0.133135	−	0.230597i
$857$	−39.0165	−	14.2008i	−1.33278	−	0.485091i	−0.425247	−	0.905078i	$-0.639813\pi$
$857$	−39.0165	−	14.2008i	−1.33278	−	0.485091i	−0.907530	+	0.419986i	$0.862035\pi$
$858$	−9.78945	+	1.72614i	−0.334206	+	0.0589296i
$859$	31.0850	−	37.0456i	1.06061	−	1.26398i	0.0973916	−	0.995246i	$-0.468950\pi$
$859$	31.0850	−	37.0456i	1.06061	−	1.26398i	0.963214	−	0.268735i	$-0.0866055\pi$
$860$	−6.42456	+	1.13282i	−0.219076	+	0.0386290i
$861$	−0.541182	+	0.0943339i	−0.0184434	+	0.00321489i
$862$	0.749362	−	1.29793i	0.0255234	−	0.0442077i
$863$			17.7505i			0.604236i	0.953271	+	0.302118i	$0.0976936\pi$
$863$			17.7505i			0.604236i	−0.953271	+	0.302118i	$0.902306\pi$
$864$	−0.984808	−	0.173648i	−0.0335038	−	0.00590763i
$865$	20.8095	+	3.66927i	0.707543	+	0.124759i
$866$		−	22.6984i		−	0.771324i
$867$	8.20471	−	14.2110i	0.278646	−	0.482630i
$868$	12.9939	+	15.5472i	0.441042	+	0.527706i
$869$	−3.57105	+	0.629672i	−0.121139	+	0.0213602i
$870$	13.9812	−	16.6622i	0.474008	−	0.564900i
$871$	−78.4988	+	13.8415i	−2.65983	+	0.469000i
$872$	−3.75137	−	1.36539i	−0.127037	−	0.0462379i
$873$	−1.02096	+	1.76835i	−0.0345541	+	0.0598495i
$874$	−25.3741	+	28.4976i	−0.858293	+	0.963947i
$875$	−19.8108	−	16.6894i	−0.669729	−	0.564205i
$876$	8.25022	+	9.83223i	0.278749	+	0.332200i
$877$	−29.1907	−	34.7881i	−0.985699	−	1.17471i	−0.984620	−	0.174710i	$-0.944101\pi$
$877$	−29.1907	−	34.7881i	−0.985699	−	1.17471i	−0.00107863	−	0.999999i	$-0.500343\pi$
$878$	−1.54752	−	4.25176i	−0.0522261	−	0.143490i
$879$	4.41188	−	3.70201i	0.148809	−	0.124866i
$880$	−6.56818	−	1.15815i	−0.221413	−	0.0390411i
$881$	23.0137	+	13.2870i	0.775352	+	0.447649i	0.834780	−	0.550583i	$-0.185595\pi$
$881$	23.0137	+	13.2870i	0.775352	+	0.447649i	−0.0594288	+	0.998233i	$0.518928\pi$
$882$	−2.41986	+	6.56843i	−0.0814808	+	0.221171i
$883$	−9.13232	−	7.66293i	−0.307327	−	0.257878i	0.476059	−	0.879413i	$-0.342065\pi$
$883$	−9.13232	−	7.66293i	−0.307327	−	0.257878i	−0.783386	+	0.621535i	$0.786509\pi$
$884$	1.39842	+	3.84213i	0.0470340	+	0.129225i
$885$	−35.8730	−	20.7113i	−1.20586	−	0.696202i
$886$		−	3.19758i		−	0.107425i
$887$	−1.89993	+	10.7750i	−0.0637934	+	0.361790i	0.936155	+	0.351589i	$0.114358\pi$
$887$	−1.89993	+	10.7750i	−0.0637934	+	0.361790i	−0.999948	+	0.0102016i	$0.996753\pi$
$888$	−0.175520	−	0.995423i	−0.00589006	−	0.0334042i
$889$	35.4369	−	29.6172i	1.18852	−	0.993329i
$890$	−34.9848	−	12.7334i	−1.17269	−	0.426826i
$891$	0.324439	+	1.83998i	0.0108691	+	0.0616417i
$892$	7.19555	+	12.4630i	0.240925	+	0.417294i
$893$	45.4465	−	6.64477i	1.52081	−	0.222359i
$894$	4.03350	+	2.32874i	0.134900	+	0.0778847i
$895$	−15.9976	+	13.4236i	−0.534742	+	0.448702i
$896$	2.64575	+	0.00517512i	0.0883882	+	0.000172889i
$897$	−8.08747	+	45.8663i	−0.270033	+	1.53143i
$898$	−9.20161	−	3.34911i	−0.307062	−	0.111761i
$899$	29.9952	−	35.7468i	1.00039	−	1.19222i
$900$	7.74273			0.258091
$901$	−8.67494			−0.289004
$902$	0.249358	−	0.297174i	0.00830273	−	0.00989480i
$903$	−3.10072	−	3.71001i	−0.103186	−	0.123461i
$904$	0.342358	+	0.592982i	0.0113867	+	0.0197223i
$905$	53.5948	−	30.9430i	1.78155	−	1.02858i
$906$	8.28803	+	6.95449i	0.275351	+	0.231047i
$907$	−34.8412	−	41.5222i	−1.15688	−	1.37872i	−0.912517	−	0.409038i	$-0.865864\pi$
$907$	−34.8412	−	41.5222i	−1.15688	−	1.37872i	−0.244367	−	0.969683i	$-0.578580\pi$
$908$	−5.38846	−	4.52145i	−0.178822	−	0.150050i
$909$	−2.10483	+	5.78298i	−0.0698129	+	0.191809i
$910$	−43.5657	+	25.0392i	−1.44419	+	0.830041i
$911$		−	42.5072i		−	1.40833i	−0.710038	−	0.704164i	$-0.751322\pi$
$911$		−	42.5072i		−	1.40833i	0.710038	−	0.704164i	$-0.248678\pi$
$912$	3.41990	−	2.70265i	0.113244	−	0.0894936i
$913$	−25.7472	+	14.8651i	−0.852106	+	0.491964i
$914$	−4.24317	+	11.6580i	−0.140352	+	0.385613i
$915$	−4.96568	+	4.16670i	−0.164160	+	0.137747i
$916$	−11.9329	−	2.10409i	−0.394274	−	0.0695211i
$917$	13.1416	+	22.8651i	0.433974	+	0.755072i
$918$	0.722151	−	0.262841i	0.0238345	−	0.00867506i
$919$	26.1484	+	45.2903i	0.862556	+	1.49399i	0.869454	+	0.494014i	$0.164471\pi$
$919$	26.1484	+	45.2903i	0.862556	+	1.49399i	−0.00689793	+	0.999976i	$0.502196\pi$
$920$	−15.6243	+	27.0620i	−0.515117	+	0.892208i
$921$	−3.01885	+	17.1208i	−0.0994745	+	0.564148i
$922$	12.9914	−	4.72848i	0.427849	−	0.155724i
$923$	−18.5965	+	10.7367i	−0.612111	+	0.353402i
$924$	−1.68160	−	4.64842i	−0.0553205	−	0.152922i
$925$	2.67671	+	7.35421i	0.0880098	+	0.241805i
$926$	−2.43198	+	6.68182i	−0.0799200	+	0.219578i
$927$	−0.103935	+	0.0378292i	−0.00341367	+	0.00124247i
$928$	−1.05808	−	6.00064i	−0.0347330	−	0.196981i
$929$	12.3689	−	2.18097i	0.405809	−	0.0715552i	0.0329822	−	0.999456i	$-0.489500\pi$
$929$	12.3689	−	2.18097i	0.405809	−	0.0715552i	0.372827	+	0.927901i	$0.378388\pi$
$930$	27.3381			0.896452
$931$	−14.3689	−	26.9172i	−0.470922	−	0.882175i
$932$	−6.12730			−0.200706
$933$	−18.6592	+	3.29012i	−0.610875	+	0.107714i
$934$	−1.28126	−	7.26637i	−0.0419240	−	0.237763i
$935$	4.81639	−	1.75302i	0.157513	−	0.0573299i
$936$	1.81968	−	4.99954i	0.0594783	−	0.163415i
$937$	−15.5932	−	42.8421i	−0.509409	−	1.39959i	−0.881848	−	0.471533i	$-0.843701\pi$
$937$	−15.5932	−	42.8421i	−0.509409	−	1.39959i	0.372440	−	0.928056i	$-0.378521\pi$
$938$	−13.4843	−	37.2744i	−0.440277	−	1.21705i
$939$	−6.81695	+	3.93577i	−0.222463	+	0.128439i
$940$	35.3455	−	12.8647i	1.15284	−	0.419600i
$941$	5.28947	−	29.9981i	0.172432	−	0.977909i	−0.768635	−	0.639688i	$-0.779064\pi$
$941$	5.28947	−	29.9981i	0.172432	−	0.977909i	0.941067	−	0.338221i	$-0.109825\pi$
$942$	−7.41810	+	12.8485i	−0.241695	+	0.418627i
$943$	−0.908787	−	1.57407i	−0.0295942	−	0.0512586i
$944$	−10.9041	+	3.96878i	−0.354900	+	0.129173i
$945$	4.70626	+	8.18842i	0.153095	+	0.266369i
$946$	3.36260	+	0.592916i	0.109327	+	0.0192774i
$947$	−33.0676	+	27.7471i	−1.07455	+	0.901658i	−0.995457	−	0.0952089i	$-0.969648\pi$
$947$	−33.0676	+	27.7471i	−1.07455	+	0.901658i	−0.0790968	+	0.996867i	$0.525204\pi$
$948$	0.663794	−	1.82376i	0.0215590	−	0.0592330i
$949$	−59.1389	+	34.1439i	−1.91973	+	1.10836i
$950$	−22.4433	+	25.2060i	−0.728157	+	0.817792i
$951$			2.34200i			0.0759447i
$952$	−1.76283	+	1.01318i	−0.0571337	+	0.0328373i
$953$	−9.22232	+	25.3381i	−0.298740	+	0.820782i	0.695971	+	0.718070i	$0.254974\pi$
$953$	−9.22232	+	25.3381i	−0.298740	+	0.820782i	−0.994711	+	0.102712i	$0.967248\pi$
$954$	8.64726	+	7.25591i	0.279965	+	0.234919i
$955$	−18.7649	−	22.3632i	−0.607218	−	0.723655i
$956$	10.9788	+	9.21234i	0.355081	+	0.297948i
$957$	−9.85915	+	5.69218i	−0.318701	+	0.184002i
$958$	−0.0647653	−	0.112177i	−0.00209247	−	0.00362427i
$959$	11.1915	+	13.3907i	0.361393	+	0.432407i
$960$	2.29456	−	2.73455i	0.0740565	−	0.0882571i
$961$	27.6509			0.891965
$962$	5.37775			0.173386
$963$	5.00758	−	5.96780i	0.161367	−	0.192310i
$964$	−9.76933	−	3.55575i	−0.314649	−	0.114523i
$965$	−2.90033	+	16.4486i	−0.0933648	+	0.529498i
$966$	−23.1604	−	0.0453021i	−0.745174	−	0.00145757i
$967$	29.4385	−	24.7018i	0.946678	−	0.794358i	−0.0320566	−	0.999486i	$-0.510206\pi$
$967$	29.4385	−	24.7018i	0.946678	−	0.794358i	0.978735	+	0.205129i	$0.0657612\pi$
$968$	−6.50316	−	3.75460i	−0.209019	−	0.120677i
$969$	−1.23758	+	3.11280i	−0.0397569	+	0.0999977i
$970$	−3.64450	−	6.31246i	−0.117018	−	0.202681i
$971$	−1.09933	−	6.23461i	−0.0352792	−	0.200078i	0.962074	−	0.272789i	$-0.0879461\pi$
$971$	−1.09933	−	6.23461i	−0.0352792	−	0.200078i	−0.997353	+	0.0727109i	$0.976835\pi$
$972$	−0.939693	−	0.342020i	−0.0301407	−	0.0109703i
$973$	−19.7524	+	16.5085i	−0.633232	+	0.529238i
$974$	−5.78595	−	32.8137i	−0.185394	−	1.05142i
$975$	−7.15334	+	40.5686i	−0.229090	+	1.29923i
$976$			1.81591i			0.0581257i
$977$	16.5013	+	9.52703i	0.527923	+	0.304797i	0.740170	−	0.672419i	$-0.234745\pi$
$977$	16.5013	+	9.52703i	0.527923	+	0.304797i	−0.212247	+	0.977216i	$0.568078\pi$
$978$	1.62213	+	4.45678i	0.0518701	+	0.142512i
$979$	14.9272	+	12.5254i	0.477076	+	0.400315i
$980$	−15.9869	−	19.2045i	−0.510682	−	0.613465i
$981$	−3.45728	−	1.99606i	−0.110383	−	0.0637294i
$982$	20.0355	+	3.53280i	0.639359	+	0.112736i
$983$	13.3624	−	11.2124i	0.426195	−	0.357620i	−0.404319	−	0.914618i	$-0.632491\pi$
$983$	13.3624	−	11.2124i	0.426195	−	0.357620i	0.830514	+	0.556998i	$0.188047\pi$
$984$	0.0710143	+	0.195110i	0.00226385	+	0.00621989i
$985$	30.9496	+	36.8843i	0.986136	+	1.17523i
$986$	3.00993	+	3.58709i	0.0958556	+	0.114236i
$987$	21.3209	+	17.9615i	0.678651	+	0.571722i
$988$	11.0012	+	20.4157i	0.349993	+	0.649510i
$989$	7.99888	−	13.8545i	0.254349	−	0.440546i
$990$	−6.26728	−	2.28110i	−0.199187	−	0.0724983i
$991$	0.169019	−	0.0298026i	0.00536907	−	0.000946712i	−0.170963	−	0.985277i	$-0.554688\pi$
$991$	0.169019	−	0.0298026i	0.00536907	−	0.000946712i	0.176332	+	0.984331i	$0.443577\pi$
$992$	4.92272	−	5.86667i	0.156296	−	0.186267i
$993$	27.4150	−	4.83400i	0.869989	−	0.153402i
$994$	−6.84791	−	8.19351i	−0.217202	−	0.259882i
$995$	−49.1733	+	85.1706i	−1.55890	+	2.70009i
$996$		−	15.9124i		−	0.504204i
$997$	18.1430	+	3.19909i	0.574593	+	0.101316i	0.453391	−	0.891312i	$-0.350214\pi$
$997$	18.1430	+	3.19909i	0.574593	+	0.101316i	0.121202	+	0.992628i	$0.461325\pi$
$998$	22.1487	+	3.90542i	0.701106	+	0.123624i
$999$		−	1.01078i		−	0.0319796i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.ca.a.355.1	✓	72
7.3	odd	6		798.2.cj.a.241.12	yes	72
19.3	odd	18		798.2.cj.a.649.12	yes	72
133.3	even	18	inner	798.2.ca.a.535.1	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.ca.a.355.1	✓	72	1.1	even	1	trivial
798.2.ca.a.535.1	yes	72	133.3	even	18	inner
798.2.cj.a.241.12	yes	72	7.3	odd	6
798.2.cj.a.649.12	yes	72	19.3	odd	18

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.ca (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.984808 + 0.173648i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.22091 + 3.35442i) q^{5} +(0.342020 + 0.939693i) q^{6} +(-0.900035 - 2.48796i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})\)	\(q+(-0.984808 + 0.173648i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.22091 + 3.35442i) q^{5} +(0.342020 + 0.939693i) q^{6} +(-0.900035 - 2.48796i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(0.619871 - 3.51546i) q^{10} +(-0.934184 + 1.61805i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(4.99954 - 1.81968i) q^{13} +(1.31839 + 2.29387i) q^{14} +(3.51546 + 0.619871i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.262841 + 0.722151i) q^{17} +(0.866025 - 0.500000i) q^{18} +(-0.882564 + 4.26862i) q^{19} +3.56970i q^{20} +(-2.29387 + 1.31839i) q^{21} +(0.639019 - 1.75569i) q^{22} +(-6.70582 - 5.62685i) q^{23} +(0.642788 + 0.766044i) q^{24} +(-5.93127 - 4.97693i) q^{25} +(-4.60760 + 2.66020i) q^{26} +(0.500000 + 0.866025i) q^{27} +(-1.69669 - 2.03009i) q^{28} +(-3.91664 + 4.66767i) q^{29} -3.56970 q^{30} -7.65839 q^{31} +(-0.642788 + 0.766044i) q^{32} +(1.75569 + 0.639019i) q^{33} +(0.133448 - 0.756822i) q^{34} +(9.44451 + 0.0184736i) q^{35} +(-0.766044 + 0.642788i) q^{36} +(-0.875360 - 0.505389i) q^{37} +(0.127919 - 4.35702i) q^{38} +(-2.66020 - 4.60760i) q^{39} +(-0.619871 - 3.51546i) q^{40} +(0.195110 + 0.0710143i) q^{41} +(2.03009 - 1.69669i) q^{42} +(0.317345 + 1.79975i) q^{43} +(-0.324439 + 1.83998i) q^{44} -3.56970i q^{45} +(7.58104 + 4.37692i) q^{46} +(-3.60386 - 9.90153i) q^{47} +(-0.766044 - 0.642788i) q^{48} +(-5.37987 + 4.47850i) q^{49} +(6.70540 + 3.87136i) q^{50} +(0.756822 + 0.133448i) q^{51} +(4.07566 - 3.41989i) q^{52} +(3.86079 + 10.6074i) q^{53} +(-0.642788 - 0.766044i) q^{54} +(-4.28707 - 5.10914i) q^{55} +(2.02343 + 1.70462i) q^{56} +(4.35702 + 0.127919i) q^{57} +(3.04661 - 5.27688i) q^{58} +(-10.9041 - 3.96878i) q^{59} +(3.51546 - 0.619871i) q^{60} +(-1.16724 + 1.39106i) q^{61} +(7.54204 - 1.32987i) q^{62} +(1.69669 + 2.03009i) q^{63} +(0.500000 - 0.866025i) q^{64} +18.9922i q^{65} +(-1.83998 - 0.324439i) q^{66} +(-14.7543 - 2.60158i) q^{67} +0.768497i q^{68} +(-4.37692 + 7.58104i) q^{69} +(-9.30423 + 1.62183i) q^{70} +(-3.97473 + 0.700851i) q^{71} +(0.642788 - 0.766044i) q^{72} +(-12.6401 + 2.22879i) q^{73} +(0.949821 + 0.345707i) q^{74} +(-3.87136 + 6.70540i) q^{75} +(0.630613 + 4.31304i) q^{76} +(4.86645 + 0.867904i) q^{77} +(3.41989 + 4.07566i) q^{78} +(1.24753 + 1.48674i) q^{79} +(1.22091 + 3.35442i) q^{80} +(0.766044 - 0.642788i) q^{81} +(-0.204478 - 0.0360549i) q^{82} +(13.7806 + 7.95621i) q^{83} +(-1.70462 + 2.02343i) q^{84} +(-2.10149 - 1.76336i) q^{85} +(-0.625047 - 1.71730i) q^{86} +(5.27688 + 3.04661i) q^{87} -1.86837i q^{88} +(1.81106 - 10.2710i) q^{89} +(0.619871 + 3.51546i) q^{90} +(-9.02706 - 10.8009i) q^{91} +(-8.22591 - 2.99399i) q^{92} +(1.32987 + 7.54204i) q^{93} +(5.26850 + 9.12530i) q^{94} +(-13.2412 - 8.17208i) q^{95} +(0.866025 + 0.500000i) q^{96} +(1.56419 - 1.31251i) q^{97} +(4.52046 - 5.34467i) q^{98} +(0.324439 - 1.83998i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{7}+O(q^{10}) \) 72 * q - 6 * q^7	\( 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) \) 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Introduction

L-functions

Modular forms

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