LMFDB - Embedded newform 130.2.p.a.7.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [130,2,Mod(7,130)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(130, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 11]))

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

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

chi := DirichletCharacter("130.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	130.p (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:	$1.03805522628$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} + 24x^{10} + 192x^{8} + 680x^{6} + 1104x^{4} + 672x^{2} + 4 $ x^12 + 24x^10 + 192x^8 + 680x^6 + 1104x^4 + 672*x^2 + 4
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			7.1
Root			$1.55227i$ of defining polynomial
Character	$\chi$	$=$	130.7
Dual form			130.2.p.a.93.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 - 0.500000i) q^{2} +(-0.776134 - 2.89657i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.12044 - 0.709753i) q^{5} +(-0.776134 + 2.89657i) q^{6} +(-0.638961 - 1.10671i) q^{7} -1.00000i q^{8} +(-5.18966 + 2.99625i) q^{9} +O(q^{10})$	\(q+(-0.866025 - 0.500000i) q^{2} +(-0.776134 - 2.89657i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.12044 - 0.709753i) q^{5} +(-0.776134 + 2.89657i) q^{6} +(-0.638961 - 1.10671i) q^{7} -1.00000i q^{8} +(-5.18966 + 2.99625i) q^{9} +(-2.19123 - 0.445554i) q^{10} +(-0.228853 - 0.854091i) q^{11} +(2.12044 - 2.12044i) q^{12} +(-3.31205 + 1.42488i) q^{13} +1.27792i q^{14} +(-3.70159 - 5.59113i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.599680 + 0.160684i) q^{17} +5.99250 q^{18} +(3.26251 + 0.874187i) q^{19} +(1.67488 + 1.48148i) q^{20} +(-2.70975 + 2.70975i) q^{21} +(-0.228853 + 0.854091i) q^{22} +(8.07211 - 2.16292i) q^{23} +(-2.89657 + 0.776134i) q^{24} +(3.99250 - 3.00997i) q^{25} +(3.58077 + 0.422042i) q^{26} +(6.34541 + 6.34541i) q^{27} +(0.638961 - 1.10671i) q^{28} +(5.53601 + 3.19622i) q^{29} +(0.410108 + 6.69286i) q^{30} +(-7.30303 - 7.30303i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-2.29631 + 1.32578i) q^{33} +(-0.438997 - 0.438997i) q^{34} +(-2.14037 - 1.89321i) q^{35} +(-5.18966 - 2.99625i) q^{36} +(-4.58124 + 7.93494i) q^{37} +(-2.38832 - 2.38832i) q^{38} +(6.69787 + 8.48770i) q^{39} +(-0.709753 - 2.12044i) q^{40} +(8.36236 - 2.24069i) q^{41} +(3.70159 - 0.991839i) q^{42} +(-0.528312 + 1.97169i) q^{43} +(0.625238 - 0.625238i) q^{44} +(-8.87774 + 10.0367i) q^{45} +(-8.07211 - 2.16292i) q^{46} -2.55866 q^{47} +(2.89657 + 0.776134i) q^{48} +(2.68346 - 4.64788i) q^{49} +(-4.96259 + 0.610463i) q^{50} -1.86173i q^{51} +(-2.89001 - 2.15588i) q^{52} +(2.67655 - 2.67655i) q^{53} +(-2.32258 - 8.66799i) q^{54} +(-1.09146 - 1.64862i) q^{55} +(-1.10671 + 0.638961i) q^{56} -10.1286i q^{57} +(-3.19622 - 5.53601i) q^{58} +(-0.288254 + 1.07578i) q^{59} +(2.99126 - 6.00124i) q^{60} +(3.53771 + 6.12749i) q^{61} +(2.67309 + 9.97612i) q^{62} +(6.63198 + 3.82898i) q^{63} -1.00000 q^{64} +(-6.01169 + 5.37212i) q^{65} +2.65156 q^{66} +(2.23477 + 1.29025i) q^{67} +(0.160684 + 0.599680i) q^{68} +(-12.5301 - 21.7027i) q^{69} +(0.907010 + 2.70975i) q^{70} +(-1.80066 + 6.72017i) q^{71} +(2.99625 + 5.18966i) q^{72} -4.86934i q^{73} +(7.93494 - 4.58124i) q^{74} +(-11.8173 - 9.22842i) q^{75} +(0.874187 + 3.26251i) q^{76} +(-0.799006 + 0.799006i) q^{77} +(-1.55668 - 10.6995i) q^{78} +11.2172i q^{79} +(-0.445554 + 2.19123i) q^{80} +(4.46628 - 7.73583i) q^{81} +(-8.36236 - 2.24069i) q^{82} -1.75068 q^{83} +(-3.70159 - 0.991839i) q^{84} +(1.38563 - 0.0849052i) q^{85} +(1.44337 - 1.44337i) q^{86} +(4.96138 - 18.5161i) q^{87} +(-0.854091 + 0.228853i) q^{88} +(-6.08837 + 1.63137i) q^{89} +(12.7067 - 4.25320i) q^{90} +(3.69321 + 2.75505i) q^{91} +(5.90920 + 5.90920i) q^{92} +(-15.4856 + 26.8219i) q^{93} +(2.21587 + 1.27933i) q^{94} +(7.53840 - 0.461919i) q^{95} +(-2.12044 - 2.12044i) q^{96} +(-8.64434 + 4.99081i) q^{97} +(-4.64788 + 2.68346i) q^{98} +(3.74674 + 3.74674i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{4} - 24 q^{9}+O(q^{10}) $ 12 * q + 6 * q^4 - 24 * q^9	$ 12 q + 6 q^{4} - 24 q^{9} + 6 q^{11} - 12 q^{13} - 6 q^{15} - 6 q^{16} + 12 q^{17} + 12 q^{18} + 36 q^{19} - 6 q^{20} - 24 q^{21} + 6 q^{22} + 6 q^{23} - 12 q^{25} + 6 q^{26} - 12 q^{27} + 6 q^{29} + 6 q^{30} - 24 q^{31} - 6 q^{33} - 12 q^{34} - 12 q^{35} - 24 q^{36} - 6 q^{38} + 6 q^{39} + 18 q^{41} + 6 q^{42} + 6 q^{44} + 12 q^{45} - 6 q^{46} + 12 q^{47} - 24 q^{50} - 6 q^{52} + 18 q^{53} - 6 q^{54} - 24 q^{55} + 6 q^{56} + 6 q^{58} + 18 q^{59} + 24 q^{60} + 18 q^{61} + 12 q^{62} + 30 q^{63} - 12 q^{64} + 30 q^{65} - 36 q^{66} + 12 q^{67} - 42 q^{69} + 24 q^{70} + 18 q^{71} + 6 q^{72} + 6 q^{74} - 12 q^{75} + 30 q^{76} + 30 q^{77} + 30 q^{78} - 6 q^{80} + 30 q^{81} - 18 q^{82} - 48 q^{83} - 6 q^{84} - 18 q^{85} + 12 q^{87} + 6 q^{89} - 12 q^{90} - 6 q^{91} - 42 q^{93} + 24 q^{94} + 30 q^{95} - 102 q^{97} - 48 q^{98} + 54 q^{99}+O(q^{100}) $ 12 * q + 6 * q^4 - 24 * q^9 + 6 * q^11 - 12 * q^13 - 6 * q^15 - 6 * q^16 + 12 * q^17 + 12 * q^18 + 36 * q^19 - 6 * q^20 - 24 * q^21 + 6 * q^22 + 6 * q^23 - 12 * q^25 + 6 * q^26 - 12 * q^27 + 6 * q^29 + 6 * q^30 - 24 * q^31 - 6 * q^33 - 12 * q^34 - 12 * q^35 - 24 * q^36 - 6 * q^38 + 6 * q^39 + 18 * q^41 + 6 * q^42 + 6 * q^44 + 12 * q^45 - 6 * q^46 + 12 * q^47 - 24 * q^50 - 6 * q^52 + 18 * q^53 - 6 * q^54 - 24 * q^55 + 6 * q^56 + 6 * q^58 + 18 * q^59 + 24 * q^60 + 18 * q^61 + 12 * q^62 + 30 * q^63 - 12 * q^64 + 30 * q^65 - 36 * q^66 + 12 * q^67 - 42 * q^69 + 24 * q^70 + 18 * q^71 + 6 * q^72 + 6 * q^74 - 12 * q^75 + 30 * q^76 + 30 * q^77 + 30 * q^78 - 6 * q^80 + 30 * q^81 - 18 * q^82 - 48 * q^83 - 6 * q^84 - 18 * q^85 + 12 * q^87 + 6 * q^89 - 12 * q^90 - 6 * q^91 - 42 * q^93 + 24 * q^94 + 30 * q^95 - 102 * q^97 - 48 * q^98 + 54 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{11}{12}\right)$

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 $

$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$3$	−0.776134	−	2.89657i	−0.448101	−	1.67234i	−0.707617	−	0.706597i	$-0.750230\pi$
$3$	−0.776134	−	2.89657i	−0.448101	−	1.67234i	0.259516	−	0.965739i	$-0.416437\pi$
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	2.12044	−	0.709753i	0.948288	−	0.317411i
$5$	2.12044	−	0.709753i	0.948288	−	0.317411i
$6$	−0.776134	+	2.89657i	−0.316855	+	1.18252i
$7$	−0.638961	−	1.10671i	−0.241505	−	0.418298i	0.719638	−	0.694349i	$-0.244308\pi$
$7$	−0.638961	−	1.10671i	−0.241505	−	0.418298i	−0.961143	+	0.276051i	$0.910974\pi$
$8$		−	1.00000i		−	0.353553i
$9$	−5.18966	+	2.99625i	−1.72989	+	0.998750i
$10$	−2.19123	−	0.445554i	−0.692927	−	0.140896i
$11$	−0.228853	−	0.854091i	−0.0690018	−	0.257518i	0.922805	−	0.385268i	$-0.125891\pi$
$11$	−0.228853	−	0.854091i	−0.0690018	−	0.257518i	−0.991806	+	0.127750i	$0.959224\pi$
$12$	2.12044	−	2.12044i	0.612117	−	0.612117i
$13$	−3.31205	+	1.42488i	−0.918599	+	0.395192i
$13$	−3.31205	+	1.42488i	−0.918599	+	0.395192i
$14$			1.27792i			0.341539i
$15$	−3.70159	−	5.59113i	−0.955747	−	1.44362i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	0.599680	+	0.160684i	0.145444	+	0.0389716i	0.330806	−	0.943699i	$-0.392679\pi$
$17$	0.599680	+	0.160684i	0.145444	+	0.0389716i	−0.185363	+	0.982670i	$0.559346\pi$
$18$	5.99250			1.41245
$19$	3.26251	+	0.874187i	0.748471	+	0.200552i	0.612840	−	0.790207i	$-0.290027\pi$
$19$	3.26251	+	0.874187i	0.748471	+	0.200552i	0.135631	+	0.990759i	$0.456694\pi$
$20$	1.67488	+	1.48148i	0.374515	+	0.331268i
$21$	−2.70975	+	2.70975i	−0.591317	+	0.591317i
$22$	−0.228853	+	0.854091i	−0.0487916	+	0.182093i
$23$	8.07211	−	2.16292i	1.68315	−	0.450999i	0.714544	−	0.699591i	$-0.246634\pi$
$23$	8.07211	−	2.16292i	1.68315	−	0.450999i	0.968608	+	0.248591i	$0.0799676\pi$
$24$	−2.89657	+	0.776134i	−0.591260	+	0.158428i
$25$	3.99250	−	3.00997i	0.798500	−	0.601995i
$26$	3.58077	+	0.422042i	0.702246	+	0.0827693i
$27$	6.34541	+	6.34541i	1.22117	+	1.22117i
$28$	0.638961	−	1.10671i	0.120752	−	0.209149i
$29$	5.53601	+	3.19622i	1.02801	+	0.593522i	0.916414	−	0.400231i	$-0.131070\pi$
$29$	5.53601	+	3.19622i	1.02801	+	0.593522i	0.111597	+	0.993754i	$0.464404\pi$
$30$	0.410108	+	6.69286i	0.0748752	+	1.22194i
$31$	−7.30303	−	7.30303i	−1.31166	−	1.31166i	−0.920190	−	0.391473i	$-0.871966\pi$
$31$	−7.30303	−	7.30303i	−1.31166	−	1.31166i	−0.391473	−	0.920190i	$-0.628034\pi$
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$	−2.29631	+	1.32578i	−0.399737	+	0.230788i
$34$	−0.438997	−	0.438997i	−0.0752873	−	0.0752873i
$35$	−2.14037	−	1.89321i	−0.361789	−	0.320011i
$36$	−5.18966	−	2.99625i	−0.864943	−	0.499375i
$37$	−4.58124	+	7.93494i	−0.753151	+	1.30450i	0.193137	+	0.981172i	$0.438134\pi$
$37$	−4.58124	+	7.93494i	−0.753151	+	1.30450i	−0.946288	+	0.323325i	$0.895199\pi$
$38$	−2.38832	−	2.38832i	−0.387437	−	0.387437i
$39$	6.69787	+	8.48770i	1.07252	+	1.35912i
$40$	−0.709753	−	2.12044i	−0.112222	−	0.335270i
$41$	8.36236	−	2.24069i	1.30598	−	0.349937i	0.462273	−	0.886738i	$-0.347034\pi$
$41$	8.36236	−	2.24069i	1.30598	−	0.349937i	0.843709	+	0.536801i	$0.180367\pi$
$42$	3.70159	−	0.991839i	0.571168	−	0.153044i
$43$	−0.528312	+	1.97169i	−0.0805668	+	0.300679i	−0.994438	−	0.105325i	$-0.966412\pi$
$43$	−0.528312	+	1.97169i	−0.0805668	+	0.300679i	0.913871	+	0.406005i	$0.133078\pi$
$44$	0.625238	−	0.625238i	0.0942582	−	0.0942582i
$45$	−8.87774	+	10.0367i	−1.32342	+	1.49619i
$46$	−8.07211	−	2.16292i	−1.19017	−	0.318905i
$47$	−2.55866			−0.373219			−0.186610	−	0.982434i	$-0.559750\pi$
$47$	−2.55866			−0.373219			−0.186610	+	0.982434i	$0.559750\pi$
$48$	2.89657	+	0.776134i	0.418084	+	0.112025i
$49$	2.68346	−	4.64788i	0.383351	−	0.663983i
$50$	−4.96259	+	0.610463i	−0.701817	+	0.0863325i
$51$		−	1.86173i		−	0.260694i
$52$	−2.89001	−	2.15588i	−0.400773	−	0.298967i
$53$	2.67655	−	2.67655i	0.367653	−	0.367653i	−0.498968	−	0.866621i	$-0.666287\pi$
$53$	2.67655	−	2.67655i	0.367653	−	0.367653i	0.866621	+	0.498968i	$0.166287\pi$
$54$	−2.32258	−	8.66799i	−0.316063	−	1.17956i
$55$	−1.09146	−	1.64862i	−0.147173	−	0.222299i
$56$	−1.10671	+	0.638961i	−0.147891	+	0.0853848i
$57$		−	10.1286i		−	1.34156i
$58$	−3.19622	−	5.53601i	−0.419684	−	0.726913i
$59$	−0.288254	+	1.07578i	−0.0375275	+	0.140054i	−0.982148	−	0.188111i	$-0.939764\pi$
$59$	−0.288254	+	1.07578i	−0.0375275	+	0.140054i	0.944620	+	0.328165i	$0.106430\pi$
$60$	2.99126	−	6.00124i	0.386170	−	0.774756i
$61$	3.53771	+	6.12749i	0.452957	+	0.784545i	0.998568	−	0.0534935i	$-0.0170356\pi$
$61$	3.53771	+	6.12749i	0.452957	+	0.784545i	−0.545611	+	0.838039i	$0.683702\pi$
$62$	2.67309	+	9.97612i	0.339483	+	1.26697i
$63$	6.63198	+	3.82898i	0.835551	+	0.482406i
$64$	−1.00000			−0.125000
$65$	−6.01169	+	5.37212i	−0.745658	+	0.666329i
$66$	2.65156			0.326384
$67$	2.23477	+	1.29025i	0.273021	+	0.157629i	0.630260	−	0.776384i	$-0.282948\pi$
$67$	2.23477	+	1.29025i	0.273021	+	0.157629i	−0.357239	+	0.934013i	$0.616282\pi$
$68$	0.160684	+	0.599680i	0.0194858	+	0.0727219i
$69$	−12.5301	−	21.7027i	−1.50844	−	2.61270i
$70$	0.907010	+	2.70975i	0.108408	+	0.323877i
$71$	−1.80066	+	6.72017i	−0.213699	+	0.797537i	0.772921	+	0.634502i	$0.218795\pi$
$71$	−1.80066	+	6.72017i	−0.213699	+	0.797537i	−0.986620	+	0.163035i	$0.947872\pi$
$72$	2.99625	+	5.18966i	0.353111	+	0.611607i
$73$		−	4.86934i		−	0.569913i	−0.958540	−	0.284957i	$-0.908021\pi$
$73$		−	4.86934i		−	0.569913i	0.958540	−	0.284957i	$-0.0919792\pi$
$74$	7.93494	−	4.58124i	0.922418	−	0.532558i
$75$	−11.8173	−	9.22842i	−1.36455	−	1.06561i
$76$	0.874187	+	3.26251i	0.100276	+	0.374236i
$77$	−0.799006	+	0.799006i	−0.0910552	+	0.0910552i
$78$	−1.55668	−	10.6995i	−0.176259	−	1.21148i
$79$			11.2172i			1.26203i	0.775770	+	0.631015i	$0.217362\pi$
$79$			11.2172i			1.26203i	−0.775770	+	0.631015i	$0.782638\pi$
$80$	−0.445554	+	2.19123i	−0.0498144	+	0.244987i
$81$	4.46628	−	7.73583i	0.496253	−	0.859536i
$82$	−8.36236	−	2.24069i	−0.923468	−	0.247443i
$83$	−1.75068			−0.192162			−0.0960809	−	0.995374i	$-0.530631\pi$
$83$	−1.75068			−0.192162			−0.0960809	+	0.995374i	$0.530631\pi$
$84$	−3.70159	−	0.991839i	−0.403877	−	0.108218i
$85$	1.38563	−	0.0849052i	0.150293	−	0.00920926i
$86$	1.44337	−	1.44337i	0.155643	−	0.155643i
$87$	4.96138	−	18.5161i	0.531916	−	1.98514i
$88$	−0.854091	+	0.228853i	−0.0910464	+	0.0243958i
$89$	−6.08837	+	1.63137i	−0.645366	+	0.172925i	−0.566633	−	0.823970i	$-0.691754\pi$
$89$	−6.08837	+	1.63137i	−0.645366	+	0.172925i	−0.0787333	+	0.996896i	$0.525088\pi$
$90$	12.7067	−	4.25320i	1.33941	−	0.448326i
$91$	3.69321	+	2.75505i	0.387154	+	0.288808i
$92$	5.90920	+	5.90920i	0.616076	+	0.616076i
$93$	−15.4856	+	26.8219i	−1.60578	+	2.78130i
$94$	2.21587	+	1.27933i	0.228549	+	0.131953i
$95$	7.53840	−	0.461919i	0.773424	−	0.0473919i
$96$	−2.12044	−	2.12044i	−0.216416	−	0.216416i
$97$	−8.64434	+	4.99081i	−0.877700	+	0.506740i	−0.869899	−	0.493230i	$-0.835816\pi$
$97$	−8.64434	+	4.99081i	−0.877700	+	0.506740i	−0.00780033	+	0.999970i	$0.502483\pi$
$98$	−4.64788	+	2.68346i	−0.469507	+	0.271070i
$99$	3.74674	+	3.74674i	0.376562	+	0.376562i
$100$	4.60296	+	1.95262i	0.460296	+	0.195262i
$101$	0.911347	+	0.526166i	0.0906824	+	0.0523555i	0.544655	−	0.838660i	$-0.316660\pi$
$101$	0.911347	+	0.526166i	0.0906824	+	0.0523555i	−0.453973	+	0.891015i	$0.649994\pi$
$102$	−0.930864	+	1.61230i	−0.0921693	+	0.159642i
$103$	3.37370	+	3.37370i	0.332420	+	0.332420i	0.853505	−	0.521085i	$-0.174472\pi$
$103$	3.37370	+	3.37370i	0.332420	+	0.332420i	−0.521085	+	0.853505i	$0.674472\pi$
$104$	1.42488	+	3.31205i	0.139721	+	0.324774i
$105$	−3.82260	+	7.66912i	−0.373048	+	0.748429i
$106$	−3.65624	+	0.979686i	−0.355125	+	0.0951555i
$107$	−14.0737	+	3.77105i	−1.36056	+	0.364561i	−0.864022	−	0.503454i	$-0.832062\pi$
$107$	−14.0737	+	3.77105i	−1.36056	+	0.364561i	−0.496538	+	0.868015i	$0.665396\pi$
$108$	−2.32258	+	8.66799i	−0.223490	+	0.834077i
$109$	−4.33526	+	4.33526i	−0.415243	+	0.415243i	−0.883560	−	0.468317i	$-0.844860\pi$
$109$	−4.33526	+	4.33526i	−0.415243	+	0.415243i	0.468317	+	0.883560i	$0.344860\pi$
$110$	0.120926	+	1.97348i	0.0115298	+	0.188164i
$111$	26.5398	+	7.11131i	2.51904	+	0.674976i
$112$	1.27792			0.120752
$113$	5.74674	+	1.53983i	0.540608	+	0.144855i	0.518782	−	0.854906i	$-0.326386\pi$
$113$	5.74674	+	1.53983i	0.540608	+	0.144855i	0.0218255	+	0.999762i	$0.493052\pi$
$114$	−5.06429	+	8.77160i	−0.474314	+	0.821536i
$115$	15.5813	−	10.3155i	1.45296	−	0.961929i
$116$			6.39243i			0.593522i
$117$	12.9191	−	17.3184i	1.19437	−	1.60109i
$118$	0.787525	−	0.787525i	0.0724975	−	0.0724975i
$119$	−0.205342	−	0.766345i	−0.0188236	−	0.0702507i
$120$	−5.59113	+	3.70159i	−0.510398	+	0.337908i
$121$	8.84918	−	5.10908i	0.804471	−	0.464462i
$122$		−	7.07542i		−	0.640578i
$123$	−12.9806	−	22.4831i	−1.17042	−	2.02723i
$124$	2.67309	−	9.97612i	0.240051	−	0.895882i
$125$	6.32950	−	9.21615i	0.566128	−	0.824317i
$126$	−3.82898	−	6.63198i	−0.341112	−	0.590824i
$127$	3.37246	+	12.5862i	0.299257	+	1.11684i	0.937777	+	0.347238i	$0.112881\pi$
$127$	3.37246	+	12.5862i	0.299257	+	1.11684i	−0.638519	+	0.769606i	$0.720453\pi$
$128$	0.866025	+	0.500000i	0.0765466	+	0.0441942i
$129$	6.12117			0.538939
$130$	7.89233	−	1.64655i	0.692203	−	0.144412i
$131$	−5.90639			−0.516044			−0.258022	−	0.966139i	$-0.583071\pi$
$131$	−5.90639			−0.516044			−0.258022	+	0.966139i	$0.583071\pi$
$132$	−2.29631	−	1.32578i	−0.199869	−	0.115394i
$133$	−1.11714	−	4.16923i	−0.0968686	−	0.361518i
$134$	−1.29025	−	2.23477i	−0.111460	−	0.193055i
$135$	17.9587	+	8.95136i	1.54564	+	0.770410i
$136$	0.160684	−	0.599680i	0.0137785	−	0.0514222i
$137$	−6.12370	−	10.6066i	−0.523183	−	0.906179i	−0.999636	−	0.0269793i	$-0.991411\pi$
$137$	−6.12370	−	10.6066i	−0.523183	−	0.906179i	0.476453	−	0.879200i	$-0.341922\pi$
$138$			25.0602i			2.13326i
$139$	−0.835876	+	0.482593i	−0.0708980	+	0.0409330i	−0.535030	−	0.844833i	$-0.679700\pi$
$139$	−0.835876	+	0.482593i	−0.0708980	+	0.0409330i	0.464132	+	0.885766i	$0.346366\pi$
$140$	0.569383	−	2.80022i	0.0481217	−	0.236662i
$141$	1.98586	+	7.41135i	0.167240	+	0.624148i
$142$	4.91950	−	4.91950i	0.412836	−	0.412836i
$143$	1.97495	+	2.50271i	0.165154	+	0.209287i
$144$		−	5.99250i		−	0.499375i
$145$	14.0073	+	2.84817i	1.16324	+	0.236528i
$146$	−2.43467	+	4.21697i	−0.201495	+	0.348999i
$147$	−15.5456	−	4.16544i	−1.28218	−	0.343560i
$148$	−9.16248			−0.753151
$149$	3.00429	+	0.804997i	0.246121	+	0.0659480i	0.379771	−	0.925081i	$-0.376003\pi$
$149$	3.00429	+	0.804997i	0.246121	+	0.0659480i	−0.133649	+	0.991029i	$0.542670\pi$
$150$	5.61988	+	13.9007i	0.458862	+	1.13499i
$151$	−10.8684	+	10.8684i	−0.884459	+	0.884459i	−0.993984	−	0.109525i	$-0.965067\pi$
$151$	−10.8684	+	10.8684i	−0.884459	+	0.884459i	0.109525	+	0.993984i	$0.465067\pi$
$152$	0.874187	−	3.26251i	0.0709059	−	0.264624i
$153$	−3.59358	+	0.962898i	−0.290524	+	0.0778457i
$154$	1.09146	−	0.292456i	0.0879526	−	0.0235668i
$155$	−20.6690	−	10.3023i	−1.66017	−	0.827497i
$156$	−4.00163	+	10.0444i	−0.320387	+	0.804194i
$157$	8.47200	+	8.47200i	0.676139	+	0.676139i	0.959124	−	0.282985i	$-0.0913248\pi$
$157$	8.47200	+	8.47200i	0.676139	+	0.676139i	−0.282985	+	0.959124i	$0.591325\pi$
$158$	5.60859	−	9.71436i	0.446195	−	0.772833i
$159$	−9.83018	−	5.67546i	−0.779584	−	0.450093i
$160$	1.48148	−	1.67488i	0.117121	−	0.132411i
$161$	−7.55150	−	7.55150i	−0.595141	−	0.595141i
$162$	−7.73583	+	4.46628i	−0.607784	+	0.350904i
$163$	−18.0097	+	10.3979i	−1.41063	+	0.814426i	−0.995447	−	0.0953137i	$-0.969615\pi$
$163$	−18.0097	+	10.3979i	−1.41063	+	0.814426i	−0.415180	+	0.909739i	$0.636281\pi$
$164$	6.12167	+	6.12167i	0.478022	+	0.478022i
$165$	−3.92821	+	4.44104i	−0.305811	+	0.345735i
$166$	1.51613	+	0.875338i	0.117675	+	0.0679394i
$167$	5.94992	−	10.3056i	0.460419	−	0.797469i	−0.538563	−	0.842585i	$-0.681033\pi$
$167$	5.94992	−	10.3056i	0.460419	−	0.797469i	0.998982	+	0.0451166i	$0.0143659\pi$
$168$	2.70975	+	2.70975i	0.209062	+	0.209062i
$169$	8.93941	−	9.43858i	0.687647	−	0.726045i
$170$	−1.24244	−	0.619285i	−0.0952911	−	0.0474970i
$171$	−19.5506	+	5.23857i	−1.49507	+	0.400603i
$172$	−1.97169	+	0.528312i	−0.150340	+	0.0402834i
$173$	−3.99861	+	14.9230i	−0.304008	+	1.13457i	0.629787	+	0.776768i	$0.283142\pi$
$173$	−3.99861	+	14.9230i	−0.304008	+	1.13457i	−0.933796	+	0.357807i	$0.883525\pi$
$174$	−13.5547	+	13.5547i	−1.02758	+	1.02758i
$175$	−5.88223	−	2.49530i	−0.444655	−	0.188627i
$176$	0.854091	+	0.228853i	0.0643796	+	0.0172504i
$177$	3.33979			0.251034
$178$	6.08837	+	1.63137i	0.456343	+	0.122277i
$179$	0.946097	−	1.63869i	0.0707146	−	0.122481i	−0.828500	−	0.559989i	$-0.810805\pi$
$179$	0.946097	−	1.63869i	0.0707146	−	0.122481i	0.899215	+	0.437508i	$0.144139\pi$
$180$	−13.1309	−	2.66998i	−0.978722	−	0.199009i
$181$		−	20.4481i		−	1.51990i	−0.649983	−	0.759949i	$-0.725224\pi$
$181$		−	20.4481i		−	1.51990i	0.649983	−	0.759949i	$-0.274776\pi$
$182$	−1.82089	−	4.23255i	−0.134973	−	0.313737i
$183$	15.0030	−	15.0030i	1.10905	−	1.10905i
$184$	−2.16292	−	8.07211i	−0.159452	−	0.595084i
$185$	−4.08238	+	20.0771i	−0.300142	+	1.47610i
$186$	26.8219	−	15.4856i	1.96667	−	1.13546i
$187$		−	0.548955i		−	0.0401436i
$188$	−1.27933	−	2.21587i	−0.0933048	−	0.161609i
$189$	2.96808	−	11.0770i	0.215896	−	0.805734i
$190$	−6.75941	−	3.36917i	−0.490379	−	0.244425i
$191$	−10.1584	−	17.5949i	−0.735039	−	1.27312i	−0.954706	−	0.297550i	$-0.903830\pi$
$191$	−10.1584	−	17.5949i	−0.735039	−	1.27312i	0.219667	−	0.975575i	$-0.429503\pi$
$192$	0.776134	+	2.89657i	0.0560126	+	0.209042i
$193$	−1.89706	−	1.09527i	−0.136553	−	0.0788392i	0.430167	−	0.902749i	$-0.358455\pi$
$193$	−1.89706	−	1.09527i	−0.136553	−	0.0788392i	−0.566720	+	0.823910i	$0.691788\pi$
$194$	9.98162			0.716639
$195$	20.2266	+	13.2438i	1.44846	+	0.948407i
$196$	5.36691			0.383351
$197$	1.31617	+	0.759889i	0.0937729	+	0.0541398i	0.546153	−	0.837685i	$-0.316092\pi$
$197$	1.31617	+	0.759889i	0.0937729	+	0.0541398i	−0.452380	+	0.891825i	$0.649425\pi$
$198$	−1.37140	−	5.11814i	−0.0974613	−	0.363731i
$199$	−3.00272	−	5.20086i	−0.212857	−	0.368680i	0.739750	−	0.672881i	$-0.234944\pi$
$199$	−3.00272	−	5.20086i	−0.212857	−	0.368680i	−0.952608	+	0.304202i	$0.901610\pi$
$200$	−3.00997	−	3.99250i	−0.212837	−	0.282312i
$201$	2.00281	−	7.47458i	0.141267	−	0.527216i
$202$	−0.526166	−	0.911347i	−0.0370209	−	0.0641221i
$203$		−	8.16903i		−	0.573354i
$204$	1.61230	−	0.930864i	0.112884	−	0.0651735i
$205$	16.1415	−	10.6864i	1.12737	−	0.746374i
$206$	−1.23486	−	4.60855i	−0.0860367	−	0.321093i
$207$	−35.4109	+	35.4109i	−2.46123	+	2.46123i
$208$	0.422042	−	3.58077i	0.0292634	−	0.248281i
$209$		−	2.98654i		−	0.206583i
$210$	7.14503	−	4.73035i	0.493054	−	0.326425i
$211$	−1.36327	+	2.36126i	−0.0938515	+	0.162556i	−0.909129	−	0.416515i	$-0.863251\pi$
$211$	−1.36327	+	2.36126i	−0.0938515	+	0.162556i	0.815277	+	0.579071i	$0.196585\pi$
$212$	3.65624	+	0.979686i	0.251111	+	0.0672851i
$213$	20.8630			1.42951
$214$	14.0737	+	3.77105i	0.962061	+	0.257784i
$215$	0.279159	+	4.55581i	0.0190385	+	0.310703i
$216$	6.34541	−	6.34541i	0.431750	−	0.431750i
$217$	−3.41601	+	12.7487i	−0.231894	+	0.865439i
$218$	5.92208	−	1.58682i	0.401094	−	0.107473i
$219$	−14.1044	+	3.77926i	−0.953086	+	0.255379i
$220$	0.882013	−	1.76954i	0.0594653	−	0.119303i
$221$	−2.21513	+	0.322281i	−0.149006	+	0.0216790i
$222$	−19.4285	−	19.4285i	−1.30395	−	1.30395i
$223$	3.74788	−	6.49152i	0.250976	−	0.434704i	−0.712818	−	0.701349i	$-0.752582\pi$
$223$	3.74788	−	6.49152i	0.250976	−	0.434704i	0.963795	+	0.266645i	$0.0859150\pi$
$224$	−1.10671	−	0.638961i	−0.0739454	−	0.0426924i
$225$	−11.7011	+	27.5833i	−0.780072	+	1.83888i
$226$	−4.20691	−	4.20691i	−0.279839	−	0.279839i
$227$	11.5313	−	6.65757i	0.765356	−	0.441879i	−0.0658594	−	0.997829i	$-0.520979\pi$
$227$	11.5313	−	6.65757i	0.765356	−	0.441879i	0.831215	+	0.555950i	$0.187646\pi$
$228$	8.77160	−	5.06429i	0.580914	−	0.335391i
$229$	−2.64090	−	2.64090i	−0.174516	−	0.174516i	0.614445	−	0.788960i	$-0.289380\pi$
$229$	−2.64090	−	2.64090i	−0.174516	−	0.174516i	−0.788960	+	0.614445i	$0.789380\pi$
$230$	−18.6515	+	1.14288i	−1.22985	+	0.0753595i
$231$	2.93451	+	1.69424i	0.193077	+	0.111473i
$232$	3.19622	−	5.53601i	0.209842	−	0.363457i
$233$	9.50648	+	9.50648i	0.622790	+	0.622790i	0.946244	−	0.323454i	$-0.104844\pi$
$233$	9.50648	+	9.50648i	0.622790	+	0.622790i	−0.323454	+	0.946244i	$0.604844\pi$
$234$	−19.8475	+	8.53861i	−1.29747	+	0.558187i
$235$	−5.42548	+	1.81602i	−0.353919	+	0.118464i
$236$	−1.07578	+	0.288254i	−0.0700272	+	0.0187637i
$237$	32.4913	−	8.70603i	2.11054	−	0.565517i
$238$	−0.205342	+	0.766345i	−0.0133103	+	0.0496748i
$239$	10.5033	−	10.5033i	0.679400	−	0.679400i	−0.280464	−	0.959864i	$-0.590488\pi$
$239$	10.5033	−	10.5033i	0.679400	−	0.679400i	0.959864	+	0.280464i	$0.0904884\pi$
$240$	6.69286	−	0.410108i	0.432022	−	0.0264724i
$241$	1.48479	+	0.397848i	0.0956436	+	0.0256276i	0.306323	−	0.951927i	$-0.400901\pi$
$241$	1.48479	+	0.397848i	0.0956436	+	0.0256276i	−0.210680	+	0.977555i	$0.567568\pi$
$242$	−10.2182			−0.656848
$243$	0.130173	+	0.0348797i	0.00835059	+	0.00223753i
$244$	−3.53771	+	6.12749i	−0.226479	+	0.392273i
$245$	2.39125	−	11.7601i	0.152771	−	0.751327i
$246$			25.9612i			1.65523i
$247$	−12.0512	+	1.75334i	−0.766801	+	0.111562i
$248$	−7.30303	+	7.30303i	−0.463743	+	0.463743i
$249$	1.35876	+	5.07096i	0.0861078	+	0.321359i
$250$	−10.0896	+	4.81667i	−0.638121	+	0.304633i
$251$	−6.82870	+	3.94255i	−0.431024	+	0.248852i	−0.699783	−	0.714356i	$-0.746720\pi$
$251$	−6.82870	+	3.94255i	−0.431024	+	0.248852i	0.268759	+	0.963207i	$0.413386\pi$
$252$			7.65795i			0.482406i
$253$	−3.69466	−	6.39933i	−0.232281	−	0.402323i
$254$	3.37246	−	12.5862i	0.211607	−	0.789728i
$255$	−1.32137	−	3.94768i	−0.0827473	−	0.247213i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−0.616415	−	2.30049i	−0.0384509	−	0.143501i	0.944032	−	0.329854i	$-0.107000\pi$
$257$	−0.616415	−	2.30049i	−0.0384509	−	0.143501i	−0.982483	+	0.186354i	$0.940333\pi$
$258$	−5.30109	−	3.06058i	−0.330031	−	0.190544i
$259$	11.7089			0.727558
$260$	−7.65823	−	2.52021i	−0.474943	−	0.156297i
$261$	−38.3066			−2.37112
$262$	5.11508	+	2.95320i	0.316011	+	0.182449i
$263$	6.18036	+	23.0654i	0.381098	+	1.42228i	0.844227	+	0.535985i	$0.180060\pi$
$263$	6.18036	+	23.0654i	0.381098	+	1.42228i	−0.463130	+	0.886290i	$0.653274\pi$
$264$	1.32578	+	2.29631i	0.0815960	+	0.141328i
$265$	3.77577	−	7.57515i	0.231944	−	0.465338i
$266$	−1.11714	+	4.16923i	−0.0684964	+	0.255632i
$267$	9.45078	+	16.3692i	0.578378	+	1.00178i
$268$			2.58049i			0.157629i
$269$	−26.8895	+	15.5247i	−1.63948	+	0.946555i	−0.658470	+	0.752607i	$0.728796\pi$
$269$	−26.8895	+	15.5247i	−1.63948	+	0.946555i	−0.981012	+	0.193949i	$0.937871\pi$
$270$	−11.0770	−	16.7315i	−0.674126	−	1.01824i
$271$	2.52048	+	9.40656i	0.153108	+	0.571408i	0.999260	+	0.0384657i	$0.0122470\pi$
$271$	2.52048	+	9.40656i	0.153108	+	0.571408i	−0.846152	+	0.532942i	$0.821086\pi$
$272$	−0.438997	+	0.438997i	−0.0266181	+	0.0266181i
$273$	5.11377	−	12.8359i	0.309499	−	0.776866i
$274$			12.2474i			0.739892i
$275$	−3.48449	−	2.72112i	−0.210123	−	0.164090i
$276$	12.5301	−	21.7027i	0.754222	−	1.30635i
$277$	29.7230	+	7.96424i	1.78588	+	0.478525i	0.991635	−	0.129073i	$-0.0412001\pi$
$277$	29.7230	+	7.96424i	1.78588	+	0.478525i	0.794245	+	0.607598i	$0.207867\pi$
$278$	0.965186			0.0578880
$279$	59.7819	+	16.0185i	3.57905	+	0.959003i
$280$	−1.89321	+	2.14037i	−0.113141	+	0.127912i
$281$	−2.40508	+	2.40508i	−0.143475	+	0.143475i	−0.775196	−	0.631721i	$-0.782349\pi$
$281$	−2.40508	+	2.40508i	−0.143475	+	0.143475i	0.631721	+	0.775196i	$0.282349\pi$
$282$	1.98586	−	7.41135i	0.118256	−	0.441339i
$283$	−13.3623	+	3.58042i	−0.794307	+	0.212834i	−0.633083	−	0.774084i	$-0.718211\pi$
$283$	−13.3623	+	3.58042i	−0.794307	+	0.212834i	−0.161224	+	0.986918i	$0.551544\pi$
$284$	−6.72017	+	1.80066i	−0.398769	+	0.106850i
$285$	−7.18879	−	21.4770i	−0.425827	−	1.27219i
$286$	−0.459007	−	3.15489i	−0.0271416	−	0.186552i
$287$	−7.82302	−	7.82302i	−0.461779	−	0.461779i
$288$	−2.99625	+	5.18966i	−0.176556	+	0.305804i
$289$	−14.3886	−	8.30728i	−0.846390	−	0.488664i
$290$	−10.7066	−	9.47023i	−0.628711	−	0.556111i
$291$	21.1654	+	21.1654i	1.24074	+	1.24074i
$292$	4.21697	−	2.43467i	0.246780	−	0.142478i
$293$	−4.69172	+	2.70877i	−0.274093	+	0.158248i	−0.630746	−	0.775989i	$-0.717251\pi$
$293$	−4.69172	+	2.70877i	−0.274093	+	0.158248i	0.356653	+	0.934237i	$0.383918\pi$
$294$	11.3802	+	11.3802i	0.663707	+	0.663707i
$295$	0.152313	+	2.48571i	0.00886801	+	0.144724i
$296$	7.93494	+	4.58124i	0.461209	+	0.266279i
$297$	3.96739	−	6.87172i	0.230211	−	0.398738i
$298$	−2.19929	−	2.19929i	−0.127402	−	0.127402i
$299$	−23.6534	+	18.6655i	−1.36791	+	1.07945i
$300$	2.08339	−	14.8483i	0.120284	−	0.857267i
$301$	2.51966	−	0.675142i	0.145231	−	0.0389145i
$302$	14.8465	−	3.97811i	0.854321	−	0.228915i
$303$	0.816751	−	3.04815i	0.0469211	−	0.175112i
$304$	−2.38832	+	2.38832i	−0.136980	+	0.136980i
$305$	11.8505	+	10.4821i	0.678558	+	0.600201i
$306$	3.59358	+	0.962898i	0.205432	+	0.0550452i
$307$	−1.34151			−0.0765638			−0.0382819	−	0.999267i	$-0.512188\pi$
$307$	−1.34151			−0.0765638			−0.0382819	+	0.999267i	$0.512188\pi$
$308$	−1.09146	−	0.292456i	−0.0621918	−	0.0166643i
$309$	7.15371	−	12.3906i	0.406960	−	0.704876i
$310$	12.7487	+	19.2565i	0.724078	+	1.09370i
$311$			2.71377i			0.153884i	0.997036	+	0.0769419i	$0.0245156\pi$
$311$			2.71377i			0.153884i	−0.997036	+	0.0769419i	$0.975484\pi$
$312$	8.48770	−	6.69787i	0.480521	−	0.379192i
$313$	−3.27224	+	3.27224i	−0.184958	+	0.184958i	−0.793512	−	0.608554i	$-0.791750\pi$
$313$	−3.27224	+	3.27224i	−0.184958	+	0.184958i	0.608554	+	0.793512i	$0.291750\pi$
$314$	−3.10097	−	11.5730i	−0.174998	−	0.653100i
$315$	16.7803	+	3.41203i	0.945464	+	0.192246i
$316$	−9.71436	+	5.60859i	−0.546475	+	0.315508i
$317$			3.50975i			0.197127i	0.995131	+	0.0985635i	$0.0314248\pi$
$317$			3.50975i			0.197127i	−0.995131	+	0.0985635i	$0.968575\pi$
$318$	5.67546	+	9.83018i	0.318264	+	0.551249i
$319$	1.46293	−	5.45972i	0.0819082	−	0.305686i
$320$	−2.12044	+	0.709753i	−0.118536	+	0.0396764i
$321$	21.8462	+	37.8387i	1.21934	+	2.11195i
$322$	2.76404	+	10.3155i	0.154034	+	0.574862i
$323$	1.81600	+	1.04847i	0.101045	+	0.0583382i
$324$	8.93256			0.496253
$325$	−8.93452	+	15.6580i	−0.495598	+	0.868552i
$326$	20.7958			1.15177
$327$	15.9221	+	9.19265i	0.880496	+	0.508355i
$328$	−2.24069	−	8.36236i	−0.123721	−	0.461734i
$329$	1.63489	+	2.83171i	0.0901342	+	0.156117i
$330$	5.62246	−	1.88195i	0.309506	−	0.103598i
$331$	2.17420	−	8.11424i	0.119505	−	0.445999i	−0.880079	−	0.474827i	$-0.842511\pi$
$331$	2.17420	−	8.11424i	0.119505	−	0.445999i	0.999584	+	0.0288278i	$0.00917745\pi$
$332$	−0.875338	−	1.51613i	−0.0480404	−	0.0832085i
$333$		−	54.9062i		−	3.00884i
$334$	−10.3056	+	5.94992i	−0.563895	+	0.325565i
$335$	5.65445	+	1.14975i	0.308936	+	0.0628175i
$336$	−0.991839	−	3.70159i	−0.0541092	−	0.201938i
$337$	−6.40557	+	6.40557i	−0.348934	+	0.348934i	−0.859712	−	0.510779i	$-0.829357\pi$
$337$	−6.40557	+	6.40557i	−0.348934	+	0.348934i	0.510779	+	0.859712i	$0.329357\pi$
$338$	−12.4611	+	3.70435i	−0.677792	+	0.201490i
$339$		−	17.8410i		−	0.968988i
$340$	0.766345	+	1.15754i	0.0415609	+	0.0627763i
$341$	−4.56613	+	7.90877i	−0.247270	+	0.428284i
$342$	19.5506	+	5.23857i	1.05717	+	0.283269i
$343$	−15.8040			−0.853334
$344$	1.97169	+	0.528312i	0.106306	+	0.0284847i
$345$	−41.9728	−	37.1260i	−2.25974	−	1.99880i
$346$	10.9244	−	10.9244i	0.587299	−	0.587299i
$347$	4.89586	−	18.2716i	0.262824	−	0.980871i	−0.700745	−	0.713412i	$-0.747149\pi$
$347$	4.89586	−	18.2716i	0.262824	−	0.980871i	0.963569	−	0.267460i	$-0.0861843\pi$
$348$	18.5161	−	4.96138i	0.992568	−	0.265958i
$349$	21.6314	−	5.79612i	1.15790	−	0.310259i	0.371775	−	0.928323i	$-0.378749\pi$
$349$	21.6314	−	5.79612i	1.15790	−	0.310259i	0.786128	+	0.618064i	$0.212083\pi$
$350$	3.84651	+	5.10211i	0.205605	+	0.272719i
$351$	−30.0578	−	11.9749i	−1.60437	−	0.639171i
$352$	−0.625238	−	0.625238i	−0.0333253	−	0.0333253i
$353$	15.9035	−	27.5457i	0.846459	−	1.46611i	−0.0378892	−	0.999282i	$-0.512063\pi$
$353$	15.9035	−	27.5457i	0.846459	−	1.46611i	0.884348	−	0.466828i	$-0.154603\pi$
$354$	−2.89234	−	1.66990i	−0.153726	−	0.0887540i
$355$	0.951469	+	15.5277i	0.0504987	+	0.824126i
$356$	−4.45700	−	4.45700i	−0.236220	−	0.236220i
$357$	−2.06040	+	1.18957i	−0.109048	+	0.0629588i
$358$	−1.63869	+	0.946097i	−0.0866073	+	0.0500028i
$359$	−8.54852	−	8.54852i	−0.451173	−	0.451173i	0.444570	−	0.895744i	$-0.353356\pi$
$359$	−8.54852	−	8.54852i	−0.451173	−	0.451173i	−0.895744	+	0.444570i	$0.853356\pi$
$360$	10.0367	+	8.87774i	0.528982	+	0.467898i
$361$	−6.57472	−	3.79591i	−0.346038	−	0.199785i
$362$	−10.2241	+	17.7086i	−0.537365	+	0.930743i
$363$	−21.6669	−	21.6669i	−1.13722	−	1.13722i
$364$	−0.539337	+	4.57594i	−0.0282690	+	0.239844i
$365$	−3.45603	−	10.3251i	−0.180897	−	0.540442i
$366$	−20.4944	+	5.49147i	−1.07126	+	0.287044i
$367$	−2.94329	+	0.788653i	−0.153639	+	0.0411674i	−0.334819	−	0.942283i	$-0.608675\pi$
$367$	−2.94329	+	0.788653i	−0.153639	+	0.0411674i	0.181180	+	0.983450i	$0.442008\pi$
$368$	−2.16292	+	8.07211i	−0.112750	+	0.420788i
$369$	−36.6841	+	36.6841i	−1.90970	+	1.90970i
$370$	13.5740	−	15.3461i	0.705678	−	0.797805i
$371$	−4.67239	−	1.25196i	−0.242578	−	0.0649987i
$372$	−30.9712			−1.60578
$373$	−3.71718	−	0.996016i	−0.192468	−	0.0515717i	0.161297	−	0.986906i	$-0.448432\pi$
$373$	−3.71718	−	0.996016i	−0.192468	−	0.0515717i	−0.353766	+	0.935334i	$0.615099\pi$
$374$	−0.274477	+	0.475409i	−0.0141929	+	0.0245828i
$375$	−31.6078	−	11.1809i	−1.63222	−	0.577379i
$376$			2.55866i			0.131953i
$377$	−22.8898	−	2.69788i	−1.17888	−	0.138948i
$378$	−8.10894	+	8.10894i	−0.417079	+	0.417079i
$379$	2.14311	+	7.99821i	0.110084	+	0.410841i	0.998872	−	0.0474782i	$-0.0151185\pi$
$379$	2.14311	+	7.99821i	0.110084	+	0.410841i	−0.888788	+	0.458319i	$0.848452\pi$
$380$	4.16923	+	6.29749i	0.213877	+	0.323054i
$381$	33.8393	−	19.5371i	1.73364	−	1.00092i
$382$			20.3169i			1.03950i
$383$	2.18264	+	3.78044i	0.111528	+	0.193172i	0.916386	−	0.400295i	$-0.131092\pi$
$383$	2.18264	+	3.78044i	0.111528	+	0.193172i	−0.804859	+	0.593466i	$0.797759\pi$
$384$	0.776134	−	2.89657i	0.0396069	−	0.147815i
$385$	−1.12714	+	2.26134i	−0.0574446	+	0.115248i
$386$	1.09527	+	1.89706i	0.0557477	+	0.0965579i
$387$	−3.16591	−	11.8153i	−0.160932	−	0.600607i
$388$	−8.64434	−	4.99081i	−0.438850	−	0.253370i
$389$	−5.85321			−0.296770			−0.148385	−	0.988930i	$-0.547407\pi$
$389$	−5.85321			−0.296770			−0.148385	+	0.988930i	$0.547407\pi$
$390$	−10.8948	−	21.5827i	−0.551682	−	1.09288i
$391$	5.18823			0.262380
$392$	−4.64788	−	2.68346i	−0.234754	−	0.135535i
$393$	4.58415	+	17.1083i	0.231240	+	0.862998i
$394$	−0.759889	−	1.31617i	−0.0382826	−	0.0663075i
$395$	7.96143	+	23.7853i	0.400583	+	1.19677i
$396$	−1.37140	+	5.11814i	−0.0689156	+	0.257196i
$397$	6.97482	+	12.0807i	0.350056	+	0.606315i	0.986259	−	0.165207i	$-0.0528291\pi$
$397$	6.97482	+	12.0807i	0.350056	+	0.606315i	−0.636203	+	0.771522i	$0.719496\pi$
$398$			6.00544i			0.301026i
$399$	−11.2094	+	6.47177i	−0.561173	+	0.323994i
$400$	0.610463	+	4.96259i	0.0305232	+	0.248130i
$401$	−3.42776	−	12.7926i	−0.171174	−	0.638830i	−0.997172	−	0.0751566i	$-0.976054\pi$
$401$	−3.42776	−	12.7926i	−0.171174	−	0.638830i	0.825998	−	0.563673i	$-0.190612\pi$
$402$	−5.47177	+	5.47177i	−0.272907	+	0.272907i
$403$	34.5940	+	13.7821i	1.72325	+	0.686534i
$404$			1.05233i			0.0523555i
$405$	3.97994	−	19.5733i	0.197765	−	0.972604i
$406$	−4.08452	+	7.07459i	−0.202711	+	0.351106i
$407$	7.82560	+	2.09686i	0.387900	+	0.103938i
$408$	−1.86173			−0.0921693
$409$	−25.0445	−	6.71066i	−1.23837	−	0.331821i	−0.420538	−	0.907275i	$-0.638159\pi$
$409$	−25.0445	−	6.71066i	−1.23837	−	0.331821i	−0.817834	+	0.575454i	$0.804825\pi$
$410$	−19.3222	+	1.18398i	−0.954255	+	0.0584725i
$411$	−25.9698	+	25.9698i	−1.28100	+	1.28100i
$412$	−1.23486	+	4.60855i	−0.0608371	+	0.227047i
$413$	1.37476	−	0.368366i	0.0676476	−	0.0181261i
$414$	48.3722	−	12.9613i	2.37736	−	0.637012i
$415$	−3.71220	+	1.24255i	−0.182225	+	0.0609943i
$416$	−2.15588	+	2.89001i	−0.105701	+	0.141695i
$417$	2.04662	+	2.04662i	0.100223	+	0.100223i
$418$	−1.49327	+	2.58642i	−0.0730383	+	0.126506i
$419$	−17.8637	−	10.3136i	−0.872698	−	0.503852i	−0.00445381	−	0.999990i	$-0.501418\pi$
$419$	−17.8637	−	10.3136i	−0.872698	−	0.503852i	−0.868244	+	0.496138i	$0.834751\pi$
$420$	−8.55295	+	0.524086i	−0.417341	+	0.0255728i
$421$	−21.3596	−	21.3596i	−1.04100	−	1.04100i	−0.999123	−	0.0418813i	$-0.986665\pi$
$421$	−21.3596	−	21.3596i	−1.04100	−	1.04100i	−0.0418813	−	0.999123i	$-0.513335\pi$
$422$	2.36126	−	1.36327i	0.114944	−	0.0663630i
$423$	13.2786	−	7.66639i	0.645627	−	0.372753i
$424$	−2.67655	−	2.67655i	−0.129985	−	0.129985i
$425$	2.87788	−	1.16349i	0.139598	−	0.0564376i
$426$	−18.0679	−	10.4315i	−0.875392	−	0.505408i
$427$	4.52092	−	7.83046i	0.218783	−	0.378943i
$428$	−10.3027	−	10.3027i	−0.498000	−	0.498000i
$429$	5.71644	−	7.66303i	0.275992	−	0.369975i
$430$	2.03614	−	4.08502i	0.0981916	−	0.196997i
$431$	34.1885	−	9.16078i	1.64680	−	0.441259i	0.688087	−	0.725628i	$-0.258451\pi$
$431$	34.1885	−	9.16078i	1.64680	−	0.441259i	0.958715	+	0.284369i	$0.0917839\pi$
$432$	−8.66799	+	2.32258i	−0.417039	+	0.111745i
$433$	7.72850	−	28.8432i	0.371408	−	1.38611i	−0.487114	−	0.873338i	$-0.661951\pi$
$433$	7.72850	−	28.8432i	0.371408	−	1.38611i	0.858523	−	0.512776i	$-0.171383\pi$
$434$	9.33270	−	9.33270i	0.447984	−	0.447984i
$435$	−2.62159	−	42.7836i	−0.125696	−	2.05132i
$436$	−5.92208	−	1.58682i	−0.283616	−	0.0759947i
$437$	28.2261			1.35024
$438$	14.1044	+	3.77926i	0.673934	+	0.180580i
$439$	8.00470	−	13.8645i	0.382043	−	0.661718i	−0.609311	−	0.792931i	$-0.708554\pi$
$439$	8.00470	−	13.8645i	0.382043	−	0.661718i	0.991354	+	0.131213i	$0.0418872\pi$
$440$	−1.64862	+	1.09146i	−0.0785947	+	0.0520334i
$441$			32.1612i			1.53149i
$442$	2.07950	+	0.828462i	0.0989117	+	0.0394059i
$443$	21.6681	−	21.6681i	1.02948	−	1.02948i	0.0299327	−	0.999552i	$-0.490471\pi$
$443$	21.6681	−	21.6681i	1.02948	−	1.02948i	0.999552	−	0.0299327i	$-0.00952930\pi$
$444$	7.11131	+	26.5398i	0.337488	+	1.25952i
$445$	−11.7521	+	7.78047i	−0.557105	+	0.368830i
$446$	−6.49152	+	3.74788i	−0.307382	+	0.177467i
$447$		−	9.32692i		−	0.441148i
$448$	0.638961	+	1.10671i	0.0301881	+	0.0522873i
$449$	−2.31771	+	8.64982i	−0.109380	+	0.408210i	−0.998805	−	0.0488699i	$-0.984438\pi$
$449$	−2.31771	+	8.64982i	−0.109380	+	0.408210i	0.889426	+	0.457080i	$0.151105\pi$
$450$	23.9251	−	18.0373i	1.12784	−	0.850285i
$451$	−3.82750	−	6.62943i	−0.180230	−	0.312168i
$452$	1.53983	+	5.74674i	0.0724277	+	0.270304i
$453$	39.9164	+	23.0458i	1.87544	+	1.08278i
$454$	−13.3151			−0.624911
$455$	9.78663	+	3.22064i	0.458804	+	0.150986i
$456$	−10.1286			−0.474314
$457$	−21.2668	−	12.2784i	−0.994820	−	0.574360i	−0.0881087	−	0.996111i	$-0.528082\pi$
$457$	−21.2668	−	12.2784i	−0.994820	−	0.574360i	−0.906712	+	0.421751i	$0.861416\pi$
$458$	0.966636	+	3.60754i	0.0451679	+	0.168569i
$459$	2.78561	+	4.82482i	0.130021	+	0.225203i
$460$	16.7242	+	8.33601i	0.779768	+	0.388668i
$461$	−2.58880	+	9.66155i	−0.120573	+	0.449983i	−0.999643	−	0.0267083i	$-0.991497\pi$
$461$	−2.58880	+	9.66155i	−0.120573	+	0.449983i	0.879071	+	0.476692i	$0.158164\pi$
$462$	−1.69424	−	2.93451i	−0.0788232	−	0.136526i
$463$			27.8834i			1.29585i	0.761703	+	0.647926i	$0.224364\pi$
$463$			27.8834i			1.29585i	−0.761703	+	0.647926i	$0.775636\pi$
$464$	−5.53601	+	3.19622i	−0.257003	+	0.148381i
$465$	−13.7993	+	67.8650i	−0.639929	+	3.14716i
$466$	−3.47961	−	12.9861i	−0.161190	−	0.601569i
$467$	22.3548	−	22.3548i	1.03446	−	1.03446i	0.0350738	−	0.999385i	$-0.488833\pi$
$467$	22.3548	−	22.3548i	1.03446	−	1.03446i	0.999385	−	0.0350738i	$-0.0111666\pi$
$468$	21.4577	+	2.52909i	0.991884	+	0.116907i
$469$		−	3.29767i		−	0.152272i
$470$	5.60661	+	1.14002i	0.258614	+	0.0525853i
$471$	17.9643	−	31.1151i	0.827752	−	1.43371i
$472$	1.07578	+	0.288254i	0.0495167	+	0.0132680i
$473$	1.80491			0.0829897
$474$	−32.4913	−	8.70603i	−1.49238	−	0.399881i
$475$	15.6569	−	6.32988i	0.718386	−	0.290435i
$476$	0.561003	−	0.561003i	0.0257136	−	0.0257136i
$477$	−5.87077	+	21.9100i	−0.268804	+	1.00319i
$478$	−14.3477	+	3.84446i	−0.656250	+	0.175842i
$479$	2.16670	−	0.580565i	0.0989990	−	0.0265267i	−0.208979	−	0.977920i	$-0.567014\pi$
$479$	2.16670	−	0.580565i	0.0989990	−	0.0265267i	0.307978	+	0.951393i	$0.400348\pi$
$480$	−6.00124	−	2.99126i	−0.273918	−	0.136532i
$481$	3.86695	−	32.8087i	0.176318	−	1.49595i
$482$	−1.08694	−	1.08694i	−0.0495088	−	0.0495088i
$483$	−16.0125	+	27.7344i	−0.728593	+	1.26196i
$484$	8.84918	+	5.10908i	0.402236	+	0.232231i
$485$	−14.7875	+	16.7180i	−0.671467	+	0.759127i
$486$	−0.0952932	−	0.0952932i	−0.00432259	−	0.00432259i
$487$	−19.9264	+	11.5045i	−0.902951	+	0.521319i	−0.878157	−	0.478373i	$-0.841227\pi$
$487$	−19.9264	+	11.5045i	−0.902951	+	0.521319i	−0.0247947	+	0.999693i	$0.507893\pi$
$488$	6.12749	−	3.53771i	0.277379	−	0.160145i
$489$	44.0961	+	44.0961i	1.99410	+	1.99410i
$490$	−7.95095	+	8.98895i	−0.359187	+	0.406079i
$491$	−2.22242	−	1.28311i	−0.100296	−	0.0579061i	0.449013	−	0.893525i	$-0.351776\pi$
$491$	−2.22242	−	1.28311i	−0.100296	−	0.0579061i	−0.549309	+	0.835619i	$0.685109\pi$
$492$	12.9806	−	22.4831i	0.585211	−	1.01362i
$493$	2.80625	+	2.80625i	0.126387	+	0.126387i
$494$	11.3133	+	4.50718i	0.509011	+	0.202787i
$495$	10.6040	+	5.28546i	0.476614	+	0.237564i
$496$	9.97612	−	2.67309i	0.447941	−	0.120025i
$497$	8.58785	−	2.30111i	0.385218	−	0.103219i
$498$	1.35876	−	5.07096i	0.0608874	−	0.227235i
$499$	−6.70967	+	6.70967i	−0.300366	+	0.300366i	−0.841157	−	0.540791i	$-0.818125\pi$
$499$	−6.70967	+	6.70967i	−0.300366	+	0.300366i	0.540791	+	0.841157i	$0.318125\pi$
$500$	11.1462	+	0.873438i	0.498472	+	0.0390614i
$501$	−34.4687	−	9.23587i	−1.53995	−	0.412628i
$502$	7.88510			0.351929
$503$	−11.0052	−	2.94883i	−0.490697	−	0.131482i	0.00498191	−	0.999988i	$-0.498414\pi$
$503$	−11.0052	−	2.94883i	−0.490697	−	0.131482i	−0.495679	+	0.868506i	$0.665081\pi$
$504$	3.82898	−	6.63198i	0.170556	−	0.295412i
$505$	2.30590	+	0.468871i	0.102611	+	0.0208645i
$506$			7.38931i			0.328495i
$507$	−34.2777	−	18.5680i	−1.52233	−	0.824636i
$508$	−9.21373	+	9.21373i	−0.408793	+	0.408793i
$509$	10.3486	+	38.6216i	0.458695	+	1.71187i	0.676991	+	0.735991i	$0.263284\pi$
$509$	10.3486	+	38.6216i	0.458695	+	1.71187i	−0.218296	+	0.975883i	$0.570050\pi$
$510$	−0.829500	+	4.07947i	−0.0367309	+	0.180642i
$511$	−5.38896	+	3.11132i	−0.238394	+	0.137637i
$512$			1.00000i			0.0441942i
$513$	15.1549	+	26.2490i	0.669104	+	1.15892i
$514$	−0.616415	+	2.30049i	−0.0271889	+	0.101470i
$515$	9.54820	+	4.75922i	0.420744	+	0.209716i
$516$	3.06058	+	5.30109i	0.134735	+	0.233367i
$517$	0.585558	+	2.18533i	0.0257528	+	0.0961108i
$518$	−10.1402	−	5.85447i	−0.445537	−	0.257231i
$519$	46.3290			2.03362
$520$	5.37212	+	6.01169i	0.235583	+	0.263630i
$521$	20.3944			0.893494			0.446747	−	0.894660i	$-0.352582\pi$
$521$	20.3944			0.893494			0.446747	+	0.894660i	$0.352582\pi$
$522$	33.1745	+	19.1533i	1.45201	+	0.838318i
$523$	−6.65109	−	24.8222i	−0.290832	−	1.08540i	−0.944472	−	0.328593i	$-0.893426\pi$
$523$	−6.65109	−	24.8222i	−0.290832	−	1.08540i	0.653640	−	0.756806i	$-0.273241\pi$
$524$	−2.95320	−	5.11508i	−0.129011	−	0.223453i
$525$	−2.66241	+	18.9750i	−0.116197	+	0.828136i
$526$	6.18036	−	23.0654i	0.269477	−	1.00570i
$527$	−3.20600	−	5.55296i	−0.139656	−	0.241891i
$528$		−	2.65156i		−	0.115394i
$529$	40.5622	−	23.4186i	1.76358	−	1.01820i
$530$	−7.05749	+	4.67239i	−0.306558	+	0.202956i
$531$	−1.72736	−	6.44660i	−0.0749611	−	0.279759i
$532$	3.05209	−	3.05209i	0.132325	−	0.132325i
$533$	−24.5039	+	19.3367i	−1.06138	+	0.837564i
$534$		−	18.9016i		−	0.817951i
$535$	−27.1660	+	17.9852i	−1.17449	+	0.777566i
$536$	1.29025	−	2.23477i	0.0557302	−	0.0965275i
$537$	−5.48087	−	1.46859i	−0.236517	−	0.0633746i
$538$	31.0493			1.33863
$539$	−4.58383	−	1.22823i	−0.197440	−	0.0529038i
$540$	1.22725	+	20.0284i	0.0528124	+	0.861884i
$541$	−19.8508	+	19.8508i	−0.853451	+	0.853451i	−0.990557	−	0.137105i	$-0.956220\pi$
$541$	−19.8508	+	19.8508i	−0.853451	+	0.853451i	0.137105	+	0.990557i	$0.456220\pi$
$542$	2.52048	−	9.40656i	0.108264	−	0.404046i
$543$	−59.2294	+	15.8705i	−2.54178	+	0.681067i
$544$	0.599680	−	0.160684i	0.0257111	−	0.00688926i
$545$	−6.11568	+	12.2696i	−0.261967	+	0.525573i
$546$	−10.8466	+	8.55936i	−0.464193	+	0.366307i
$547$	−22.0342	−	22.0342i	−0.942115	−	0.942115i	0.0562990	−	0.998414i	$-0.482070\pi$
$547$	−22.0342	−	22.0342i	−0.942115	−	0.942115i	−0.998414	+	0.0562990i	$0.982070\pi$
$548$	6.12370	−	10.6066i	0.261591	−	0.453090i
$549$	−36.7190	−	21.1997i	−1.56713	−	0.904782i
$550$	1.65710	+	4.09880i	0.0706588	+	0.174773i
$551$	15.2672	+	15.2672i	0.650404	+	0.650404i
$552$	−21.7027	+	12.5301i	−0.923730	+	0.533316i
$553$	12.4142	−	7.16734i	0.527905	−	0.304786i
$554$	−21.7587	−	21.7587i	−0.924439	−	0.924439i
$555$	61.3232	−	3.75761i	2.60302	−	0.159502i
$556$	−0.835876	−	0.482593i	−0.0354490	−	0.0204665i
$557$	−14.2827	+	24.7384i	−0.605179	+	1.04820i	0.386844	+	0.922145i	$0.373565\pi$
$557$	−14.2827	+	24.7384i	−0.605179	+	1.04820i	−0.992023	+	0.126055i	$0.959768\pi$
$558$	−43.7634	−	43.7634i	−1.85265	−	1.85265i
$559$	−1.05963	−	7.28312i	−0.0448174	−	0.308043i
$560$	2.70975	−	0.907010i	0.114508	−	0.0383282i
$561$	−1.59009	+	0.426062i	−0.0671335	+	0.0179884i
$562$	3.28540	−	0.880320i	0.138586	−	0.0371340i
$563$	0.503366	−	1.87859i	0.0212144	−	0.0791731i	−0.954507	−	0.298188i	$-0.903618\pi$
$563$	0.503366	−	1.87859i	0.0212144	−	0.0791731i	0.975721	+	0.219015i	$0.0702844\pi$
$564$	−5.42548	+	5.42548i	−0.228454	+	0.228454i
$565$	13.2785	−	0.813647i	0.558631	−	0.0342304i
$566$	13.3623	+	3.58042i	0.561660	+	0.150496i
$567$	−11.4151			−0.479390
$568$	6.72017	+	1.80066i	0.281972	+	0.0755542i
$569$	13.6532	−	23.6481i	0.572372	−	0.991378i	−0.423949	−	0.905686i	$-0.639357\pi$
$569$	13.6532	−	23.6481i	0.572372	−	0.991378i	0.996322	−	0.0856922i	$-0.0273102\pi$
$570$	−4.51282	+	22.1940i	−0.189021	+	0.929605i
$571$			34.7539i			1.45441i	0.686423	+	0.727203i	$0.259180\pi$
$571$			34.7539i			1.45441i	−0.686423	+	0.727203i	$0.740820\pi$
$572$	−1.17993	+	2.96171i	−0.0493354	+	0.123836i
$573$	−43.0807	+	43.0807i	−1.79972	+	1.79972i
$574$	2.86343	+	10.6864i	0.119517	+	0.446044i
$575$	25.7176	−	32.9323i	1.07250	−	1.37337i
$576$	5.18966	−	2.99625i	0.216236	−	0.124844i
$577$		−	22.1256i		−	0.921103i	−0.887633	−	0.460551i	$-0.847652\pi$
$577$		−	22.1256i		−	0.921103i	0.887633	−	0.460551i	$-0.152348\pi$
$578$	8.30728	+	14.3886i	0.345537	+	0.598488i
$579$	−1.70015	+	6.34504i	−0.0706558	+	0.263691i
$580$	4.53705	+	13.5547i	0.188391	+	0.562830i
$581$	1.11861	+	1.93750i	0.0464079	+	0.0803809i
$582$	−7.74707	−	28.9125i	−0.321126	−	1.19846i
$583$	−2.89856	−	1.67348i	−0.120046	−	0.0693086i
$584$	−4.86934			−0.201495
$585$	15.1024	−	45.8920i	0.624407	−	1.89740i
$586$	5.41754			0.223796
$587$	28.8151	+	16.6364i	1.18932	+	0.686657i	0.958153	−	0.286256i	$-0.0924108\pi$
$587$	28.8151	+	16.6364i	1.18932	+	0.686657i	0.231172	+	0.972913i	$0.425744\pi$
$588$	−4.16544	−	15.5456i	−0.171780	−	0.641091i
$589$	−17.4420	−	30.2104i	−0.718685	−	1.24480i
$590$	1.11095	−	2.22884i	0.0457370	−	0.0917601i
$591$	1.17955	−	4.40214i	0.0485202	−	0.181080i
$592$	−4.58124	−	7.93494i	−0.188288	−	0.326124i
$593$		−	1.18487i		−	0.0486567i	−0.999704	−	0.0243283i	$-0.992255\pi$
$593$		−	1.18487i		−	0.0486567i	0.999704	−	0.0243283i	$-0.00774471\pi$
$594$	−6.87172	+	3.96739i	−0.281950	+	0.162784i
$595$	−0.979330	−	1.47924i	−0.0401486	−	0.0606431i
$596$	0.804997	+	3.00429i	0.0329740	+	0.123061i
$597$	−12.7342	+	12.7342i	−0.521174	+	0.521174i
$598$	29.8172	−	4.33812i	1.21932	−	0.177399i
$599$			0.947362i			0.0387082i	0.999813	+	0.0193541i	$0.00616098\pi$
$599$			0.947362i			0.0387082i	−0.999813	+	0.0193541i	$0.993839\pi$
$600$	−9.22842	+	11.8173i	−0.376748	+	0.482440i
$601$	9.46190	−	16.3885i	0.385959	−	0.668500i	−0.605943	−	0.795508i	$-0.707204\pi$
$601$	9.46190	−	16.3885i	0.385959	−	0.668500i	0.991902	+	0.127008i	$0.0405373\pi$
$602$	−2.51966	−	0.675142i	−0.102694	−	0.0275167i
$603$	−15.4636			−0.629727
$604$	−14.8465	−	3.97811i	−0.604096	−	0.161867i
$605$	15.1379	−	17.1142i	0.615445	−	0.695792i
$606$	−2.23140	+	2.23140i	−0.0906446	+	0.0906446i
$607$	5.01853	−	18.7294i	0.203696	−	0.760204i	−0.786147	−	0.618039i	$-0.787927\pi$
$607$	5.01853	−	18.7294i	0.203696	−	0.760204i	0.989843	−	0.142164i	$-0.0454061\pi$
$608$	3.26251	−	0.874187i	0.132312	−	0.0354530i
$609$	−23.6622	+	6.34026i	−0.958839	+	0.256920i
$610$	−5.02180	−	15.0030i	−0.203327	−	0.607453i
$611$	8.47443	−	3.64580i	0.342839	−	0.147493i
$612$	−2.63069	−	2.63069i	−0.106339	−	0.106339i
$613$	−3.38852	+	5.86909i	−0.136861	+	0.237050i	−0.926307	−	0.376770i	$-0.877035\pi$
$613$	−3.38852	+	5.86909i	−0.136861	+	0.237050i	0.789446	+	0.613820i	$0.210368\pi$
$614$	1.16178	+	0.670753i	0.0468856	+	0.0270694i
$615$	−43.4820	−	38.4609i	−1.75336	−	1.55089i
$616$	0.799006	+	0.799006i	0.0321929	+	0.0321929i
$617$	−7.92846	+	4.57750i	−0.319188	+	0.184283i	−0.651030	−	0.759052i	$-0.725663\pi$
$617$	−7.92846	+	4.57750i	−0.319188	+	0.184283i	0.331843	+	0.943335i	$0.392330\pi$
$618$	−12.3906	+	7.15371i	−0.498422	+	0.287764i
$619$	5.10375	+	5.10375i	0.205137	+	0.205137i	0.802197	−	0.597060i	$-0.203664\pi$
$619$	5.10375	+	5.10375i	0.205137	+	0.205137i	−0.597060	+	0.802197i	$0.703664\pi$
$620$	−1.41246	−	23.0510i	−0.0567258	−	0.925749i
$621$	64.9454	+	37.4963i	2.60617	+	1.50467i
$622$	1.35688	−	2.35019i	0.0544061	−	0.0942341i
$623$	5.69570	+	5.69570i	0.228193	+	0.228193i
$624$	−10.6995	+	1.55668i	−0.428323	+	0.0623170i
$625$	6.88012	−	24.0346i	0.275205	−	0.961386i
$626$	4.46996	−	1.19772i	0.178656	−	0.0478706i
$627$	−8.65073	+	2.31796i	−0.345477	+	0.0925702i
$628$	−3.10097	+	11.5730i	−0.123742	+	0.461811i
$629$	−4.02230	+	4.02230i	−0.160380	+	0.160380i
$630$	−12.8262	−	11.3451i	−0.511007	−	0.451998i
$631$	9.61001	+	2.57499i	0.382568	+	0.102509i	0.444978	−	0.895542i	$-0.353212\pi$
$631$	9.61001	+	2.57499i	0.382568	+	0.102509i	−0.0624090	+	0.998051i	$0.519878\pi$
$632$	11.2172			0.446195
$633$	7.89762	+	2.11616i	0.313902	+	0.0841099i
$634$	1.75487	−	3.03953i	0.0696949	−	0.120715i
$635$	16.0842	+	24.2946i	0.638281	+	0.964102i
$636$		−	11.3509i		−	0.450093i
$637$	−2.26506	+	19.2177i	−0.0897451	+	0.761431i
$638$	−3.99679	+	3.99679i	−0.158234	+	0.158234i
$639$	−10.7905	−	40.2706i	−0.426865	−	1.59308i
$640$	2.19123	+	0.445554i	0.0866159	+	0.0176121i
$641$	−7.80132	+	4.50409i	−0.308134	+	0.177901i	−0.646091	−	0.763260i	$-0.723597\pi$
$641$	−7.80132	+	4.50409i	−0.308134	+	0.177901i	0.337957	+	0.941161i	$0.390264\pi$
$642$		−	43.6924i		−	1.72440i
$643$	1.93223	+	3.34673i	0.0761998	+	0.131982i	0.901607	−	0.432555i	$-0.142388\pi$
$643$	1.93223	+	3.34673i	0.0761998	+	0.131982i	−0.825408	+	0.564537i	$0.809055\pi$
$644$	2.76404	−	10.3155i	0.108918	−	0.406489i
$645$	12.9795	−	4.34452i	0.511069	−	0.171065i
$646$	−1.04847	−	1.81600i	−0.0412513	−	0.0714494i
$647$	0.580581	+	2.16676i	0.0228250	+	0.0851841i	0.976399	−	0.215975i	$-0.0692931\pi$
$647$	0.580581	+	2.16676i	0.0228250	+	0.0851841i	−0.953574	+	0.301159i	$0.902626\pi$
$648$	−7.73583	−	4.46628i	−0.303892	−	0.175452i
$649$	0.984781			0.0386560
$650$	15.5665	−	9.09300i	0.610570	−	0.356657i
$651$	39.5788			1.55122
$652$	−18.0097	−	10.3979i	−0.705313	−	0.407213i
$653$	5.64733	+	21.0761i	0.220997	+	0.824773i	0.983969	+	0.178341i	$0.0570729\pi$
$653$	5.64733	+	21.0761i	0.220997	+	0.824773i	−0.762972	+	0.646432i	$0.776260\pi$
$654$	−9.19265	−	15.9221i	−0.359461	−	0.622605i
$655$	−12.5241	+	4.19208i	−0.489358	+	0.163798i
$656$	−2.24069	+	8.36236i	−0.0874842	+	0.326495i
$657$	14.5898	+	25.2702i	0.569201	+	0.985885i
$658$		−	3.26977i		−	0.127469i
$659$	−39.1338	+	22.5939i	−1.52444	+	0.880134i	−0.524856	+	0.851191i	$0.675881\pi$
$659$	−39.1338	+	22.5939i	−1.52444	+	0.880134i	−0.999581	+	0.0289434i	$0.990786\pi$
$660$	−5.81016	−	1.18141i	−0.226160	−	0.0459864i
$661$	−0.707218	−	2.63937i	−0.0275076	−	0.102660i	0.950807	−	0.309783i	$-0.100256\pi$
$661$	−0.707218	−	2.63937i	−0.0275076	−	0.102660i	−0.978315	+	0.207123i	$0.933590\pi$
$662$	−5.94003	+	5.94003i	−0.230866	+	0.230866i
$663$	2.65275	+	6.16615i	0.103024	+	0.239473i
$664$			1.75068i			0.0679394i
$665$	−5.32796	−	8.04770i	−0.206609	−	0.312076i
$666$	−27.4531	+	47.5501i	−1.06379	+	1.84253i
$667$	51.6004	+	13.8263i	1.99798	+	0.535356i
$668$	11.8998			0.460419
$669$	−21.7120	−	5.81771i	−0.839434	−	0.224926i
$670$	−4.32202	−	3.82294i	−0.166974	−	0.147693i
$671$	4.42382	−	4.42382i	0.170780	−	0.170780i
$672$	−0.991839	+	3.70159i	−0.0382610	+	0.142792i
$673$	−44.8831	+	12.0264i	−1.73012	+	0.463583i	−0.980210	−	0.197961i	$-0.936568\pi$
$673$	−44.8831	+	12.0264i	−1.73012	+	0.463583i	−0.749906	+	0.661544i	$0.769901\pi$
$674$	8.75017	−	2.34460i	0.337044	−	0.0903107i
$675$	44.4335	+	6.23454i	1.71025	+	0.239967i
$676$	12.6438	+	3.02247i	0.486298	+	0.116249i
$677$	−19.7486	−	19.7486i	−0.758999	−	0.758999i	0.217141	−	0.976140i	$-0.430327\pi$
$677$	−19.7486	−	19.7486i	−0.758999	−	0.758999i	−0.976140	+	0.217141i	$0.930327\pi$
$678$	−8.92048	+	15.4507i	−0.342589	+	0.593381i
$679$	11.0468	+	6.37787i	0.423937	+	0.244760i
$680$	−0.0849052	−	1.38563i	−0.00325597	−	0.0531365i
$681$	−28.2339	−	28.2339i	−1.08193	−	1.08193i
$682$	7.90877	−	4.56613i	0.302843	−	0.174846i
$683$	8.25253	−	4.76460i	0.315774	−	0.182312i	−0.333733	−	0.942668i	$-0.608308\pi$
$683$	8.25253	−	4.76460i	0.315774	−	0.182312i	0.649508	+	0.760355i	$0.274975\pi$
$684$	−14.3120	−	14.3120i	−0.547234	−	0.547234i
$685$	−20.5129	−	18.1442i	−0.783759	−	0.693255i
$686$	13.6866	+	7.90198i	0.522558	+	0.301699i
$687$	−5.59986	+	9.69924i	−0.213648	+	0.370049i
$688$	−1.44337	−	1.44337i	−0.0550281	−	0.0550281i
$689$	−5.05111	+	12.6787i	−0.192432	+	0.483019i
$690$	17.7865	+	53.1385i	0.677122	+	2.02295i
$691$	0.594540	−	0.159306i	0.0226174	−	0.00606030i	−0.247493	−	0.968890i	$-0.579607\pi$
$691$	0.594540	−	0.159306i	0.0226174	−	0.00606030i	0.270110	+	0.962829i	$0.412940\pi$
$692$	−14.9230	+	3.99861i	−0.567287	+	0.152004i
$693$	1.75255	−	6.54059i	0.0665737	−	0.248456i
$694$	−13.3757	+	13.3757i	−0.507736	+	0.507736i
$695$	−1.42990	+	1.61657i	−0.0542392	+	0.0613201i
$696$	−18.5161	−	4.96138i	−0.701852	−	0.188061i
$697$	5.37479			0.203585
$698$	−21.6314	−	5.79612i	−0.818761	−	0.219386i
$699$	20.1579	−	34.9145i	0.762441	−	1.32059i
$700$	−0.780124	−	6.34181i	−0.0294859	−	0.239698i
$701$		−	18.0552i		−	0.681935i	−0.940075	−	0.340968i	$-0.889245\pi$
$701$		−	18.0552i		−	0.681935i	0.940075	−	0.340968i	$-0.110755\pi$
$702$	20.0434	+	25.3994i	0.756489	+	0.958640i
$703$	−21.8830	+	21.8830i	−0.825332	+	0.825332i
$704$	0.228853	+	0.854091i	0.00862522	+	0.0321898i
$705$	9.47112	+	14.3058i	0.356703	+	0.538788i
$706$	−27.5457	+	15.9035i	−1.03670	+	0.598537i
$707$		−	1.34480i		−	0.0505764i
$708$	1.66990	+	2.89234i	0.0627585	+	0.108701i
$709$	−5.22810	+	19.5115i	−0.196345	+	0.732771i	0.795569	+	0.605863i	$0.207172\pi$
$709$	−5.22810	+	19.5115i	−0.196345	+	0.732771i	−0.991914	+	0.126908i	$0.959495\pi$
$710$	6.93986	−	13.9231i	0.260448	−	0.522526i
$711$	−33.6095	−	58.2133i	−1.26045	−	2.18317i
$712$	1.63137	+	6.08837i	0.0611384	+	0.228171i
$713$	−74.7467	−	43.1550i	−2.79929	−	1.61617i
$714$	2.37914			0.0890372
$715$	5.96407	+	3.90510i	0.223044	+	0.146043i
$716$	1.89219			0.0707146
$717$	−38.5754	−	22.2715i	−1.44062	−	0.831745i
$718$	3.12897	+	11.6775i	0.116772	+	0.435800i
$719$	8.30123	+	14.3782i	0.309584	+	0.536215i	0.978271	−	0.207329i	$-0.0664770\pi$
$719$	8.30123	+	14.3782i	0.309584	+	0.536215i	−0.668688	+	0.743543i	$0.733144\pi$
$720$	−4.25320	−	12.7067i	−0.158507	−	0.473551i
$721$	1.57805	−	5.88938i	0.0587698	−	0.219332i
$722$	3.79591	+	6.57472i	0.141269	+	0.244686i
$723$		−	4.60957i		−	0.171432i
$724$	17.7086	−	10.2241i	0.658135	−	0.379974i
$725$	31.7230	−	3.90234i	1.17816	−	0.144929i
$726$	7.93065	+	29.5976i	0.294334	+	1.09847i
$727$	3.52264	−	3.52264i	0.130648	−	0.130648i	−0.638759	−	0.769407i	$-0.720552\pi$
$727$	3.52264	−	3.52264i	0.130648	−	0.130648i	0.769407	+	0.638759i	$0.220552\pi$
$728$	2.75505	−	3.69321i	0.102109	−	0.136880i
$729$		−	27.2018i		−	1.00747i
$730$	−2.16955	+	10.6698i	−0.0802988	+	0.394908i
$731$	−0.633636	+	1.09749i	−0.0234359	+	0.0405922i
$732$	20.4944	+	5.49147i	0.757497	+	0.202971i
$733$	9.74855			0.360071			0.180035	−	0.983660i	$-0.442379\pi$
$733$	9.74855			0.360071			0.180035	+	0.983660i	$0.442379\pi$
$734$	2.94329	+	0.788653i	0.108639	+	0.0291097i
$735$	−35.9200	+	2.20102i	−1.32493	+	0.0811857i
$736$	5.90920	−	5.90920i	0.217816	−	0.217816i
$737$	0.590554	−	2.20398i	0.0217533	−	0.0811845i
$738$	50.1115	−	13.4273i	1.84463	−	0.494267i
$739$	9.31015	−	2.49465i	0.342479	−	0.0917670i	−0.0834798	−	0.996509i	$-0.526603\pi$
$739$	9.31015	−	2.49465i	0.342479	−	0.0917670i	0.425959	+	0.904742i	$0.359937\pi$
$740$	−19.4285	+	6.50310i	−0.714204	+	0.239059i
$741$	14.4320	+	33.5464i	0.530174	+	1.23236i
$742$	3.42043	+	3.42043i	0.125568	+	0.125568i
$743$	26.8853	−	46.5667i	0.986326	−	1.70837i	0.350439	−	0.936586i	$-0.386032\pi$
$743$	26.8853	−	46.5667i	0.986326	−	1.70837i	0.635888	−	0.771782i	$-0.280634\pi$
$744$	26.8219	+	15.4856i	0.983337	+	0.567730i
$745$	6.94176	−	0.425360i	0.254326	−	0.0155840i
$746$	2.72117	+	2.72117i	0.0996290	+	0.0996290i
$747$	9.08541	−	5.24547i	0.332418	−	0.191922i
$748$	0.475409	−	0.274477i	0.0173827	−	0.0100359i
$749$	13.1660	+	13.1660i	0.481077	+	0.481077i
$750$	21.7827	+	25.4868i	0.795391	+	0.930647i
$751$	18.9911	+	10.9645i	0.692994	+	0.400100i	0.804733	−	0.593637i	$-0.202309\pi$
$751$	18.9911	+	10.9645i	0.692994	+	0.400100i	−0.111739	+	0.993738i	$0.535642\pi$
$752$	1.27933	−	2.21587i	0.0466524	−	0.0808043i
$753$	16.7199	+	16.7199i	0.609305	+	0.609305i
$754$	18.4742	+	13.7813i	0.672791	+	0.501886i
$755$	−15.3319	+	30.7597i	−0.557984	+	1.11946i
$756$	11.0770	−	2.96808i	0.402867	−	0.107948i
$757$	−47.0899	+	12.6177i	−1.71151	+	0.458598i	−0.975794	−	0.218692i	$-0.929821\pi$
$757$	−47.0899	+	12.6177i	−1.71151	+	0.458598i	−0.735716	+	0.677290i	$0.763154\pi$
$758$	2.14311	−	7.99821i	0.0778414	−	0.290508i
$759$	−15.6686	+	15.6686i	−0.568733	+	0.568733i
$760$	−0.461919	−	7.53840i	−0.0167556	−	0.273447i
$761$	41.5088	+	11.1222i	1.50469	+	0.403181i	0.914668	−	0.404206i	$-0.132452\pi$
$761$	41.5088	+	11.1222i	1.50469	+	0.403181i	0.590023	+	0.807386i	$0.299119\pi$
$762$	−39.0743			−1.41551
$763$	7.56796	+	2.02783i	0.273978	+	0.0734123i
$764$	10.1584	−	17.5949i	0.367520	−	0.636562i
$765$	−6.93655	+	4.59232i	−0.250791	+	0.166036i
$766$		−	4.36528i		−	0.157724i
$767$	−0.578146	−	3.97377i	−0.0208756	−	0.143484i
$768$	−2.12044	+	2.12044i	−0.0765147	+	0.0765147i
$769$	−8.98900	−	33.5474i	−0.324152	−	1.20975i	−0.915162	−	0.403087i	$-0.867937\pi$
$769$	−8.98900	−	33.5474i	−0.324152	−	1.20975i	0.591010	−	0.806664i	$-0.298729\pi$
$770$	2.10680	−	1.39480i	0.0759240	−	0.0502653i
$771$	−6.18511	+	3.57098i	−0.222751	+	0.128606i
$772$		−	2.19054i		−	0.0788392i
$773$	10.3510	+	17.9285i	0.372300	+	0.644843i	0.989919	−	0.141635i	$-0.0452359\pi$
$773$	10.3510	+	17.9285i	0.372300	+	0.644843i	−0.617619	+	0.786478i	$0.711903\pi$
$774$	−3.16591	+	11.8153i	−0.113796	+	0.424693i
$775$	−51.1393	−	7.17542i	−1.83698	−	0.257749i
$776$	4.99081	+	8.64434i	0.179160	+	0.310314i
$777$	−9.08770	−	33.9158i	−0.326020	−	1.21672i
$778$	5.06903	+	2.92660i	0.181733	+	0.104924i
$779$	29.2411			1.04767
$780$	−1.35617	+	24.1386i	−0.0485586	+	0.864302i
$781$	6.15173			0.220126
$782$	−4.49314	−	2.59412i	−0.160674	−	0.0927654i
$783$	14.8469	+	55.4095i	0.530586	+	1.98017i
$784$	2.68346	+	4.64788i	0.0958378	+	0.165996i
$785$	23.9774	+	11.9513i	0.855788	+	0.426560i
$786$	4.58415	−	17.1083i	0.163511	−	0.610232i
$787$	10.6214	+	18.3969i	0.378613	+	0.655777i	0.990861	−	0.134889i	$-0.0430678\pi$
$787$	10.6214	+	18.3969i	0.378613	+	0.655777i	−0.612248	+	0.790666i	$0.709734\pi$
$788$			1.51978i			0.0541398i
$789$	62.0139	−	35.8037i	2.20775	−	1.27465i
$790$	4.99786	−	24.5794i	0.177816	−	0.874496i
$791$	−1.96779	−	7.34389i	−0.0699665	−	0.261119i
$792$	3.74674	−	3.74674i	0.133135	−	0.133135i
$793$	−20.4481	−	15.2538i	−0.726132	−	0.541677i
$794$		−	13.9496i		−	0.495054i
$795$	−24.8725	−	5.05744i	−0.882135	−	0.179369i
$796$	3.00272	−	5.20086i	0.106429	−	0.184340i
$797$	15.2878	+	4.09634i	0.541520	+	0.145100i	0.519203	−	0.854651i	$-0.326229\pi$
$797$	15.2878	+	4.09634i	0.541520	+	0.145100i	0.0223172	+	0.999751i	$0.492896\pi$
$798$	12.9435			0.458196
$799$	−1.53438	−	0.411136i	−0.0542825	−	0.0145449i
$800$	1.95262	−	4.60296i	0.0690356	−	0.162739i
$801$	26.7086	−	26.7086i	0.943701	−	0.943701i
$802$	−3.42776	+	12.7926i	−0.121038	+	0.451721i
$803$	−4.15886	+	1.11436i	−0.146763	+	0.0393250i
$804$	7.47458	−	2.00281i	0.263608	−	0.0706336i
$805$	−21.3722	−	10.6528i	−0.753270	−	0.375461i
$806$	−23.0682	−	29.2326i	−0.812544	−	1.02967i
$807$	65.8381	+	65.8381i	2.31761	+	2.31761i
$808$	0.526166	−	0.911347i	0.0185105	−	0.0320611i
$809$	6.81229	+	3.93308i	0.239507	+	0.138280i	0.614950	−	0.788566i	$-0.289176\pi$
$809$	6.81229	+	3.93308i	0.239507	+	0.138280i	−0.375443	+	0.926845i	$0.622509\pi$
$810$	−13.2334	+	14.9610i	−0.464973	+	0.525676i
$811$	−13.1134	−	13.1134i	−0.460475	−	0.460475i	0.438336	−	0.898811i	$-0.355568\pi$
$811$	−13.1134	−	13.1134i	−0.460475	−	0.460475i	−0.898811	+	0.438336i	$0.855568\pi$
$812$	7.07459	−	4.08452i	0.248269	−	0.143338i
$813$	25.2905	−	14.6015i	0.886978	−	0.512097i
$814$	−5.72873	−	5.72873i	−0.200792	−	0.200792i
$815$	−30.8084	+	34.8305i	−1.07917	+	1.22006i
$816$	1.61230	+	0.930864i	0.0564419	+	0.0325868i
$817$	−3.44724	+	5.97080i	−0.120604	+	0.208892i
$818$	18.3339	+	18.3339i	0.641028	+	0.641028i
$819$	−27.4213	−	3.23198i	−0.958179	−	0.112934i
$820$	17.3255	+	8.63574i	0.605033	+	0.301573i
$821$	−38.0562	+	10.1971i	−1.32817	+	0.355882i	−0.852032	−	0.523489i	$-0.824630\pi$
$821$	−38.0562	+	10.1971i	−1.32817	+	0.355882i	−0.476137	+	0.879371i	$0.657963\pi$
$822$	35.4754	−	9.50561i	1.23735	−	0.331546i
$823$	−3.17636	+	11.8543i	−0.110721	+	0.413216i	−0.998931	−	0.0462212i	$-0.985282\pi$
$823$	−3.17636	+	11.8543i	−0.110721	+	0.413216i	0.888210	+	0.459437i	$0.151949\pi$
$824$	3.37370	−	3.37370i	0.117528	−	0.117528i
$825$	−5.17748	+	12.2050i	−0.180257	+	0.424924i
$826$	−1.37476	−	0.368366i	−0.0478341	−	0.0128171i
$827$	−33.6098			−1.16873			−0.584364	−	0.811492i	$-0.698656\pi$
$827$	−33.6098			−1.16873			−0.584364	+	0.811492i	$0.698656\pi$
$828$	−48.3722	−	12.9613i	−1.68105	−	0.450436i
$829$	−13.8019	+	23.9055i	−0.479359	+	0.830274i	−0.999720	−	0.0236725i	$-0.992464\pi$
$829$	−13.8019	+	23.9055i	−0.479359	+	0.830274i	0.520361	+	0.853946i	$0.325797\pi$
$830$	3.83613	+	0.780021i	0.133154	+	0.0270749i
$831$		−	92.2760i		−	3.20102i
$832$	3.31205	−	1.42488i	0.114825	−	0.0493989i
$833$	2.35606	−	2.35606i	0.0816325	−	0.0816325i
$834$	−0.749113	−	2.79573i	−0.0259397	−	0.0968082i
$835$	5.30202	−	26.0753i	0.183484	−	0.902372i
$836$	2.58642	−	1.49327i	0.0894532	−	0.0516459i
$837$		−	92.6814i		−	3.20354i
$838$	10.3136	+	17.8637i	0.356277	+	0.617090i
$839$	−9.37660	+	34.9939i	−0.323716	+	1.20813i	0.591880	+	0.806026i	$0.298386\pi$
$839$	−9.37660	+	34.9939i	−0.323716	+	1.20813i	−0.915596	+	0.402099i	$0.868281\pi$
$840$	7.66912	+	3.82260i	0.264610	+	0.131892i
$841$	5.93158	+	10.2738i	0.204537	+	0.354269i
$842$	7.81816	+	29.1778i	0.269432	+	1.00553i
$843$	8.83314	+	5.09981i	0.304229	+	0.175647i
$844$	−2.72654			−0.0938515
$845$	12.2564	−	26.3587i	0.421633	−	0.906767i
$846$	−15.3328			−0.527152
$847$	−11.3086	−	6.52900i	−0.388567	−	0.224339i
$848$	0.979686	+	3.65624i	0.0336426	+	0.125556i
$849$	20.7419	+	35.9260i	0.711859	+	1.23298i
$850$	−3.07406	−	0.431326i	−0.105439	−	0.0147944i
$851$	−19.8177	+	73.9606i	−0.679341	+	2.53534i
$852$	10.4315	+	18.0679i	0.357377	+	0.618995i
$853$		−	22.4023i		−	0.767041i	−0.923532	−	0.383520i	$-0.874712\pi$
$853$		−	22.4023i		−	0.767041i	0.923532	−	0.383520i	$-0.125288\pi$
$854$	−7.83046	+	4.52092i	−0.267953	+	0.154703i
$855$	−37.7377	+	24.9841i	−1.29060	+	0.854440i
$856$	3.77105	+	14.0737i	0.128892	+	0.481031i
$857$	31.7108	−	31.7108i	1.08322	−	1.08322i	0.0870141	−	0.996207i	$-0.472267\pi$
$857$	31.7108	−	31.7108i	1.08322	−	1.08322i	0.996207	−	0.0870141i	$-0.0277325\pi$
$858$	−8.78210	+	3.77816i	−0.299816	+	0.128984i
$859$			49.9135i			1.70303i	0.524332	+	0.851514i	$0.324315\pi$
$859$			49.9135i			1.70303i	−0.524332	+	0.851514i	$0.675685\pi$
$860$	−3.80586	+	2.51966i	−0.129779	+	0.0859198i
$861$	−16.5882	+	28.7316i	−0.565325	+	0.979172i
$862$	−34.1885	−	9.16078i	−1.16447	−	0.312017i
$863$	24.6850			0.840288			0.420144	−	0.907457i	$-0.361980\pi$
$863$	24.6850			0.840288			0.420144	+	0.907457i	$0.361980\pi$
$864$	8.66799	+	2.32258i	0.294891	+	0.0790158i
$865$	2.11286	+	34.4813i	0.0718394	+	1.17240i
$866$	−21.1147	+	21.1147i	−0.717505	+	0.717505i
$867$	−12.8951	+	48.1252i	−0.437941	+	1.63442i
$868$	−12.7487	+	3.41601i	−0.432719	+	0.115947i
$869$	9.58049	−	2.56709i	0.324996	−	0.0870824i
$870$	−19.1214	+	38.3625i	−0.648278	+	1.30061i
$871$	−9.24014	−	1.08908i	−0.313090	−	0.0369020i
$872$	4.33526	+	4.33526i	0.146811	+	0.146811i
$873$	29.9074	−	51.8012i	1.01221	−	1.75321i
$874$	−24.4446	−	14.1131i	−0.826850	−	0.477382i
$875$	−14.2439	−	1.11619i	−0.481533	−	0.0377340i
$876$	−10.3251	−	10.3251i	−0.348854	−	0.348854i
$877$	11.3025	−	6.52548i	0.381657	−	0.220350i	−0.296882	−	0.954914i	$-0.595947\pi$
$877$	11.3025	−	6.52548i	0.381657	−	0.220350i	0.678539	+	0.734564i	$0.262613\pi$
$878$	−13.8645	+	8.00470i	−0.467906	+	0.270145i
$879$	11.4875	+	11.4875i	0.387465	+	0.387465i
$880$	1.97348	−	0.120926i	0.0665258	−	0.00407641i
$881$	−31.4196	−	18.1401i	−1.05855	−	0.611156i	−0.133522	−	0.991046i	$-0.542629\pi$
$881$	−31.4196	−	18.1401i	−1.05855	−	0.611156i	−0.925032	+	0.379890i	$0.875962\pi$
$882$	16.0806	−	27.8524i	0.541463	−	0.937841i
$883$	30.8743	+	30.8743i	1.03900	+	1.03900i	0.999208	+	0.0397956i	$0.0126707\pi$
$883$	30.8743	+	30.8743i	1.03900	+	1.03900i	0.0397956	+	0.999208i	$0.487329\pi$
$884$	−1.38667	−	1.75722i	−0.0466387	−	0.0591017i
$885$	7.08182	−	2.37043i	0.238053	−	0.0796811i
$886$	−29.5992	+	7.93109i	−0.994406	+	0.266450i
$887$	3.07438	−	0.823779i	0.103228	−	0.0276598i	−0.206835	−	0.978376i	$-0.566316\pi$
$887$	3.07438	−	0.823779i	0.103228	−	0.0276598i	0.310063	+	0.950716i	$0.399650\pi$
$888$	7.11131	−	26.5398i	0.238640	−	0.890616i
$889$	11.7744	−	11.7744i	0.394902	−	0.394902i
$890$	14.0679	−	0.862017i	0.471556	−	0.0288949i
$891$	−7.62922	−	2.04424i	−0.255589	−	0.0684848i
$892$	7.49576			0.250976
$893$	−8.34766	−	2.23675i	−0.279344	−	0.0748500i
$894$	−4.66346	+	8.07735i	−0.155970	+	0.270147i
$895$	0.843074	−	4.14623i	0.0281809	−	0.138593i
$896$		−	1.27792i		−	0.0426924i
$897$	72.4242	+	54.0267i	2.41817	+	1.80390i
$898$	6.33211	−	6.33211i	0.211305	−	0.211305i
$899$	−17.0876	−	63.7717i	−0.569902	−	2.12690i
$900$	−29.7383	+	3.65820i	−0.991278	+	0.121940i
$901$	2.03515	−	1.17500i	0.0678008	−	0.0391448i
$902$			7.65501i			0.254884i
$903$	−3.91119	−	6.77438i	−0.130156	−	0.225437i
$904$	1.53983	−	5.74674i	0.0512141	−	0.191134i
$905$	−14.5131	−	43.3589i	−0.482433	−	1.44130i
$906$	−23.0458	−	39.9164i	−0.765644	−	1.32614i
$907$	−9.79045	−	36.5384i	−0.325086	−	1.21324i	−0.914225	−	0.405207i	$-0.867199\pi$
$907$	−9.79045	−	36.5384i	−0.325086	−	1.21324i	0.589138	−	0.808032i	$-0.299467\pi$
$908$	11.5313	+	6.65757i	0.382678	+	0.220939i
$909$	−6.30610			−0.209160
$910$	−6.86515	−	7.68247i	−0.227577	−	0.254671i
$911$	−3.06450			−0.101531			−0.0507657	−	0.998711i	$-0.516166\pi$
$911$	−3.06450			−0.101531			−0.0507657	+	0.998711i	$0.516166\pi$
$912$	8.77160	+	5.06429i	0.290457	+	0.167695i
$913$	0.400648	+	1.49524i	0.0132595	+	0.0494851i
$914$	12.2784	+	21.2668i	0.406134	+	0.703444i
$915$	21.1644	−	42.4613i	0.699675	−	1.40373i
$916$	0.966636	−	3.60754i	0.0319386	−	0.119196i
$917$	3.77395	+	6.53668i	0.124627	+	0.215860i
$918$		−	5.57122i		−	0.183878i
$919$	−33.5898	+	19.3931i	−1.10802	+	0.639718i	−0.938317	−	0.345776i	$-0.887616\pi$
$919$	−33.5898	+	19.3931i	−1.10802	+	0.639718i	−0.169708	+	0.985494i	$0.554282\pi$
$920$	−10.3155	−	15.5813i	−0.340093	−	0.513699i
$921$	1.04119	+	3.88577i	0.0343083	+	0.128040i
$922$	7.07275	−	7.07275i	0.232928	−	0.232928i
$923$	−3.61156	−	24.8233i	−0.118876	−	0.817069i
$924$			3.38848i			0.111473i
$925$	5.59336	+	45.4697i	0.183908	+	1.49503i
$926$	13.9417	−	24.1478i	0.458153	−	0.793545i
$927$	−27.6168	−	7.39989i	−0.907054	−	0.243044i
$928$	6.39243			0.209842
$929$	0.485719	+	0.130148i	0.0159359	+	0.00427002i	0.266778	−	0.963758i	$-0.414041\pi$
$929$	0.485719	+	0.130148i	0.0159359	+	0.00427002i	−0.250842	+	0.968028i	$0.580708\pi$
$930$	45.8831	−	51.8731i	1.50457	−	1.70099i
$931$	12.8179	−	12.8179i	0.420090	−	0.420090i
$932$	−3.47961	+	12.9861i	−0.113979	+	0.425374i
$933$	7.86062	−	2.10625i	0.257345	−	0.0689554i
$934$	−30.5373	+	8.18244i	−0.999210	+	0.267738i
$935$	−0.389622	−	1.16402i	−0.0127420	−	0.0380676i
$936$	−17.3184	−	12.9191i	−0.566070	−	0.422275i
$937$	−9.95025	−	9.95025i	−0.325061	−	0.325061i	0.525644	−	0.850705i	$-0.323824\pi$
$937$	−9.95025	−	9.95025i	−0.325061	−	0.325061i	−0.850705	+	0.525644i	$0.823824\pi$
$938$	−1.64884	+	2.85587i	−0.0538364	+	0.0932473i
$939$	12.0180	+	6.93858i	0.392192	+	0.226432i
$940$	−4.28546	−	3.79059i	−0.139776	−	0.123636i
$941$	23.7430	+	23.7430i	0.774000	+	0.774000i	0.978803	−	0.204803i	$-0.0656555\pi$
$941$	23.7430	+	23.7430i	0.774000	+	0.774000i	−0.204803	+	0.978803i	$0.565655\pi$
$942$	−31.1151	+	17.9643i	−1.01379	+	0.585309i
$943$	62.6555	−	36.1742i	2.04034	−	1.17799i
$944$	−0.787525	−	0.787525i	−0.0256317	−	0.0256317i
$945$	−1.56833	−	25.5947i	−0.0510177	−	0.832596i
$946$	−1.56309	−	0.902453i	−0.0508206	−	0.0293413i
$947$	−19.4908	+	33.7590i	−0.633365	+	1.09702i	0.353494	+	0.935437i	$0.384993\pi$
$947$	−19.4908	+	33.7590i	−0.633365	+	1.09702i	−0.986859	+	0.161583i	$0.948340\pi$
$948$	23.7853	+	23.7853i	0.772511	+	0.772511i
$949$	6.93824	+	16.1275i	0.225225	+	0.523522i
$950$	−16.7242	−	2.34659i	−0.542604	−	0.0761335i
$951$	10.1662	−	2.72403i	0.329662	−	0.0883328i
$952$	−0.766345	+	0.205342i	−0.0248374	+	0.00665516i
$953$	−15.0318	+	56.0994i	−0.486928	+	1.81724i	0.0842907	+	0.996441i	$0.473138\pi$
$953$	−15.0318	+	56.0994i	−0.486928	+	1.81724i	−0.571219	+	0.820798i	$0.693529\pi$
$954$	16.0392	−	16.0392i	0.519290	−	0.519290i
$955$	−34.0284	−	30.0990i	−1.10113	−	0.973979i
$956$	14.3477	+	3.84446i	0.464039	+	0.124339i
$957$	−16.9499			−0.547912
$958$	−2.16670	−	0.580565i	−0.0700029	−	0.0187572i
$959$	−7.82561	+	13.5544i	−0.252702	+	0.437693i
$960$	3.70159	+	5.59113i	0.119468	+	0.180453i
$961$			75.6684i			2.44092i
$962$	−19.7532	+	26.4797i	−0.636870	+	0.853739i
$963$	61.7389	−	61.7389i	1.98951	−	1.98951i
$964$	0.397848	+	1.48479i	0.0128138	+	0.0478218i
$965$	−4.79997	−	0.976002i	−0.154516	−	0.0314186i
$966$	27.7344	−	16.0125i	0.892340	−	0.515193i
$967$			51.5834i			1.65881i	0.558648	+	0.829405i	$0.311320\pi$
$967$			51.5834i			1.65881i	−0.558648	+	0.829405i	$0.688680\pi$
$968$	−5.10908	−	8.84918i	−0.164212	−	0.284423i
$969$	1.62750	−	6.07391i	0.0522828	−	0.195122i
$970$	21.1654	−	7.08449i	0.679580	−	0.227469i
$971$	−18.2251	−	31.5668i	−0.584872	−	1.01303i	−0.994891	−	0.100951i	$-0.967811\pi$
$971$	−18.2251	−	31.5668i	−0.584872	−	1.01303i	0.410019	−	0.912077i	$-0.365522\pi$
$972$	0.0348797	+	0.130173i	0.00111877	+	0.00417530i
$973$	1.06818	+	0.616716i	0.0342444	+	0.0197710i
$974$	23.0090			0.737257
$975$	52.2890	+	13.7267i	1.67459	+	0.439607i
$976$	−7.07542			−0.226479
$977$	−34.8416	−	20.1158i	−1.11468	−	0.643562i	−0.174644	−	0.984632i	$-0.555877\pi$
$977$	−34.8416	−	20.1158i	−1.11468	−	0.643562i	−0.940038	+	0.341070i	$0.889211\pi$
$978$	−16.1403	−	60.2364i	−0.516110	−	1.92615i
$979$	2.78669	+	4.82668i	0.0890629	+	0.154261i
$980$	11.3802	−	3.80918i	0.363527	−	0.121680i
$981$	9.50900	−	35.4881i	0.303599	−	1.13305i
$982$	1.28311	+	2.22242i	0.0409458	+	0.0709203i
$983$		−	22.8830i		−	0.729856i	−0.931036	−	0.364928i	$-0.881094\pi$
$983$		−	22.8830i		−	0.729856i	0.931036	−	0.364928i	$-0.118906\pi$
$984$	−22.4831	+	12.9806i	−0.716735	+	0.413807i
$985$	3.33018	+	0.677142i	0.106108	+	0.0215756i
$986$	−1.02716	−	3.83341i	−0.0327115	−	0.122081i
$987$	6.93334	−	6.93334i	0.220691	−	0.220691i
$988$	−7.54405	−	9.56000i	−0.240008	−	0.304144i
$989$			17.0584i			0.542425i
$990$	−6.54059	−	9.87934i	−0.207874	−	0.313986i
$991$	−2.26574	+	3.92439i	−0.0719738	+	0.124662i	−0.899766	−	0.436372i	$-0.856263\pi$
$991$	−2.26574	+	3.92439i	−0.0719738	+	0.124662i	0.827793	+	0.561034i	$0.189596\pi$
$992$	−9.97612	−	2.67309i	−0.316742	−	0.0848708i
$993$	−25.1909			−0.799410
$994$	−8.58785	−	2.30111i	−0.272390	−	0.0729867i
$995$	−10.0584	−	8.89691i	−0.318873	−	0.282051i
$996$	−3.71220	+	3.71220i	−0.117626	+	0.117626i
$997$	7.14123	−	26.6514i	0.226165	−	0.844060i	−0.755769	−	0.654838i	$-0.772737\pi$
$997$	7.14123	−	26.6514i	0.226165	−	0.844060i	0.981934	−	0.189222i	$-0.0605965\pi$
$998$	9.16557	−	2.45591i	0.290131	−	0.0777404i
$999$	−79.4203	+	21.2806i	−2.51275	+	0.673288i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.p.a.7.1	✓	12
5.2	odd	4		650.2.w.e.293.1		12
5.3	odd	4		130.2.s.a.33.3	yes	12
5.4	even	2		650.2.t.e.7.3		12
13.2	odd	12		130.2.s.a.67.3	yes	12
65.2	even	12		650.2.t.e.93.3		12
65.28	even	12	inner	130.2.p.a.93.1	yes	12
65.54	odd	12		650.2.w.e.457.1		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.a.7.1	✓	12	1.1	even	1	trivial
130.2.p.a.93.1	yes	12	65.28	even	12	inner
130.2.s.a.33.3	yes	12	5.3	odd	4
130.2.s.a.67.3	yes	12	13.2	odd	12
650.2.t.e.7.3		12	5.4	even	2
650.2.t.e.93.3		12	65.2	even	12
650.2.w.e.293.1		12	5.2	odd	4
650.2.w.e.457.1		12	65.54	odd	12

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:	\( N \)	\(=\)	\( 130 = 2 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	130.p (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-0.776134 - 2.89657i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.12044 - 0.709753i) q^{5} +(-0.776134 + 2.89657i) q^{6} +(-0.638961 - 1.10671i) q^{7} -1.00000i q^{8} +(-5.18966 + 2.99625i) q^{9} +O(q^{10})\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-0.776134 - 2.89657i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.12044 - 0.709753i) q^{5} +(-0.776134 + 2.89657i) q^{6} +(-0.638961 - 1.10671i) q^{7} -1.00000i q^{8} +(-5.18966 + 2.99625i) q^{9} +(-2.19123 - 0.445554i) q^{10} +(-0.228853 - 0.854091i) q^{11} +(2.12044 - 2.12044i) q^{12} +(-3.31205 + 1.42488i) q^{13} +1.27792i q^{14} +(-3.70159 - 5.59113i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.599680 + 0.160684i) q^{17} +5.99250 q^{18} +(3.26251 + 0.874187i) q^{19} +(1.67488 + 1.48148i) q^{20} +(-2.70975 + 2.70975i) q^{21} +(-0.228853 + 0.854091i) q^{22} +(8.07211 - 2.16292i) q^{23} +(-2.89657 + 0.776134i) q^{24} +(3.99250 - 3.00997i) q^{25} +(3.58077 + 0.422042i) q^{26} +(6.34541 + 6.34541i) q^{27} +(0.638961 - 1.10671i) q^{28} +(5.53601 + 3.19622i) q^{29} +(0.410108 + 6.69286i) q^{30} +(-7.30303 - 7.30303i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-2.29631 + 1.32578i) q^{33} +(-0.438997 - 0.438997i) q^{34} +(-2.14037 - 1.89321i) q^{35} +(-5.18966 - 2.99625i) q^{36} +(-4.58124 + 7.93494i) q^{37} +(-2.38832 - 2.38832i) q^{38} +(6.69787 + 8.48770i) q^{39} +(-0.709753 - 2.12044i) q^{40} +(8.36236 - 2.24069i) q^{41} +(3.70159 - 0.991839i) q^{42} +(-0.528312 + 1.97169i) q^{43} +(0.625238 - 0.625238i) q^{44} +(-8.87774 + 10.0367i) q^{45} +(-8.07211 - 2.16292i) q^{46} -2.55866 q^{47} +(2.89657 + 0.776134i) q^{48} +(2.68346 - 4.64788i) q^{49} +(-4.96259 + 0.610463i) q^{50} -1.86173i q^{51} +(-2.89001 - 2.15588i) q^{52} +(2.67655 - 2.67655i) q^{53} +(-2.32258 - 8.66799i) q^{54} +(-1.09146 - 1.64862i) q^{55} +(-1.10671 + 0.638961i) q^{56} -10.1286i q^{57} +(-3.19622 - 5.53601i) q^{58} +(-0.288254 + 1.07578i) q^{59} +(2.99126 - 6.00124i) q^{60} +(3.53771 + 6.12749i) q^{61} +(2.67309 + 9.97612i) q^{62} +(6.63198 + 3.82898i) q^{63} -1.00000 q^{64} +(-6.01169 + 5.37212i) q^{65} +2.65156 q^{66} +(2.23477 + 1.29025i) q^{67} +(0.160684 + 0.599680i) q^{68} +(-12.5301 - 21.7027i) q^{69} +(0.907010 + 2.70975i) q^{70} +(-1.80066 + 6.72017i) q^{71} +(2.99625 + 5.18966i) q^{72} -4.86934i q^{73} +(7.93494 - 4.58124i) q^{74} +(-11.8173 - 9.22842i) q^{75} +(0.874187 + 3.26251i) q^{76} +(-0.799006 + 0.799006i) q^{77} +(-1.55668 - 10.6995i) q^{78} +11.2172i q^{79} +(-0.445554 + 2.19123i) q^{80} +(4.46628 - 7.73583i) q^{81} +(-8.36236 - 2.24069i) q^{82} -1.75068 q^{83} +(-3.70159 - 0.991839i) q^{84} +(1.38563 - 0.0849052i) q^{85} +(1.44337 - 1.44337i) q^{86} +(4.96138 - 18.5161i) q^{87} +(-0.854091 + 0.228853i) q^{88} +(-6.08837 + 1.63137i) q^{89} +(12.7067 - 4.25320i) q^{90} +(3.69321 + 2.75505i) q^{91} +(5.90920 + 5.90920i) q^{92} +(-15.4856 + 26.8219i) q^{93} +(2.21587 + 1.27933i) q^{94} +(7.53840 - 0.461919i) q^{95} +(-2.12044 - 2.12044i) q^{96} +(-8.64434 + 4.99081i) q^{97} +(-4.64788 + 2.68346i) q^{98} +(3.74674 + 3.74674i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{4} - 24 q^{9}+O(q^{10}) \) 12 * q + 6 * q^4 - 24 * q^9	\( 12 q + 6 q^{4} - 24 q^{9} + 6 q^{11} - 12 q^{13} - 6 q^{15} - 6 q^{16} + 12 q^{17} + 12 q^{18} + 36 q^{19} - 6 q^{20} - 24 q^{21} + 6 q^{22} + 6 q^{23} - 12 q^{25} + 6 q^{26} - 12 q^{27} + 6 q^{29} + 6 q^{30} - 24 q^{31} - 6 q^{33} - 12 q^{34} - 12 q^{35} - 24 q^{36} - 6 q^{38} + 6 q^{39} + 18 q^{41} + 6 q^{42} + 6 q^{44} + 12 q^{45} - 6 q^{46} + 12 q^{47} - 24 q^{50} - 6 q^{52} + 18 q^{53} - 6 q^{54} - 24 q^{55} + 6 q^{56} + 6 q^{58} + 18 q^{59} + 24 q^{60} + 18 q^{61} + 12 q^{62} + 30 q^{63} - 12 q^{64} + 30 q^{65} - 36 q^{66} + 12 q^{67} - 42 q^{69} + 24 q^{70} + 18 q^{71} + 6 q^{72} + 6 q^{74} - 12 q^{75} + 30 q^{76} + 30 q^{77} + 30 q^{78} - 6 q^{80} + 30 q^{81} - 18 q^{82} - 48 q^{83} - 6 q^{84} - 18 q^{85} + 12 q^{87} + 6 q^{89} - 12 q^{90} - 6 q^{91} - 42 q^{93} + 24 q^{94} + 30 q^{95} - 102 q^{97} - 48 q^{98} + 54 q^{99}+O(q^{100}) \) 12 * q + 6 * q^4 - 24 * q^9 + 6 * q^11 - 12 * q^13 - 6 * q^15 - 6 * q^16 + 12 * q^17 + 12 * q^18 + 36 * q^19 - 6 * q^20 - 24 * q^21 + 6 * q^22 + 6 * q^23 - 12 * q^25 + 6 * q^26 - 12 * q^27 + 6 * q^29 + 6 * q^30 - 24 * q^31 - 6 * q^33 - 12 * q^34 - 12 * q^35 - 24 * q^36 - 6 * q^38 + 6 * q^39 + 18 * q^41 + 6 * q^42 + 6 * q^44 + 12 * q^45 - 6 * q^46 + 12 * q^47 - 24 * q^50 - 6 * q^52 + 18 * q^53 - 6 * q^54 - 24 * q^55 + 6 * q^56 + 6 * q^58 + 18 * q^59 + 24 * q^60 + 18 * q^61 + 12 * q^62 + 30 * q^63 - 12 * q^64 + 30 * q^65 - 36 * q^66 + 12 * q^67 - 42 * q^69 + 24 * q^70 + 18 * q^71 + 6 * q^72 + 6 * q^74 - 12 * q^75 + 30 * q^76 + 30 * q^77 + 30 * q^78 - 6 * q^80 + 30 * q^81 - 18 * q^82 - 48 * q^83 - 6 * q^84 - 18 * q^85 + 12 * q^87 + 6 * q^89 - 12 * q^90 - 6 * q^91 - 42 * q^93 + 24 * q^94 + 30 * q^95 - 102 * q^97 - 48 * q^98 + 54 * q^99

Introduction

L-functions

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