LMFDB - Embedded newform 390.2.bn.b.97.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [390,2,Mod(67,390)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(390, base_ring=CyclotomicField(12))

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("390.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 390 = 2 \cdot 3 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	390.bn (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:	$3.11416567883$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 $ x^16 - 4x^15 + 12x^14 - 48x^13 + 67x^12 - 24x^11 + 118x^10 - 176x^9 + 351x^8 - 180x^7 + 358x^6 - 336x^5 + 390x^4 - 344x^3 + 164x^2 - 40*x + 4
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.2
Root			$2.69978 + 0.355433i$ of defining polynomial
Character	$\chi$	$=$	390.97
Dual form			390.2.bn.b.193.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50924 - 1.64991i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(2.70280 - 1.56046i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50924 - 1.64991i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(2.70280 - 1.56046i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(-0.674247 - 2.13199i) q^{10} +(0.628610 - 0.168435i) q^{11} +(-0.707107 + 0.707107i) q^{12} +(-1.78771 + 3.13115i) q^{13} -3.12092i q^{14} +(-1.98431 - 1.03078i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.0844736 - 0.0226346i) q^{17} +1.00000i q^{18} +(-0.264302 + 0.986389i) q^{19} +(-2.18348 - 0.482081i) q^{20} +(-2.20683 - 2.20683i) q^{21} +(0.168435 - 0.628610i) q^{22} +(2.28118 - 0.611240i) q^{23} +(0.258819 + 0.965926i) q^{24} +(-0.444415 - 4.98021i) q^{25} +(1.81780 + 3.11378i) q^{26} +(0.707107 + 0.707107i) q^{27} +(-2.70280 - 1.56046i) q^{28} +(-7.96403 - 4.59804i) q^{29} +(-1.88484 + 1.20307i) q^{30} +(-1.40560 + 1.40560i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.325392 - 0.563596i) q^{33} +(-0.0618390 + 0.0618390i) q^{34} +(1.50454 - 6.81448i) q^{35} +(0.866025 + 0.500000i) q^{36} +(6.58253 + 3.80043i) q^{37} +(0.722087 + 0.722087i) q^{38} +(3.48715 + 0.916397i) q^{39} +(-1.50924 + 1.64991i) q^{40} +(-0.901032 - 3.36270i) q^{41} +(-3.01458 + 0.807754i) q^{42} +(-2.60755 + 9.73152i) q^{43} +(-0.460174 - 0.460174i) q^{44} +(-0.482081 + 2.18348i) q^{45} +(0.611240 - 2.28118i) q^{46} +4.74221i q^{47} +(0.965926 + 0.258819i) q^{48} +(1.37008 - 2.37305i) q^{49} +(-4.53520 - 2.10523i) q^{50} +0.0874535i q^{51} +(3.60551 - 0.0173697i) q^{52} +(6.10974 - 6.10974i) q^{53} +(0.965926 - 0.258819i) q^{54} +(0.670817 - 1.29136i) q^{55} +(-2.70280 + 1.56046i) q^{56} +1.02119 q^{57} +(-7.96403 + 4.59804i) q^{58} +(12.7884 + 3.42665i) q^{59} +(0.0994727 + 2.23385i) q^{60} +(3.40217 + 5.89274i) q^{61} +(0.514484 + 1.92008i) q^{62} +(-1.56046 + 2.70280i) q^{63} +1.00000 q^{64} +(2.46804 + 7.67521i) q^{65} -0.650785 q^{66} +(-5.42255 + 9.39213i) q^{67} +(0.0226346 + 0.0844736i) q^{68} +(-1.18083 - 2.04525i) q^{69} +(-5.14925 - 4.71021i) q^{70} +(13.0079 + 3.48547i) q^{71} +(0.866025 - 0.500000i) q^{72} -2.45159 q^{73} +(6.58253 - 3.80043i) q^{74} +(-4.69549 + 1.71825i) q^{75} +(0.986389 - 0.264302i) q^{76} +(1.43617 - 1.43617i) q^{77} +(2.53720 - 2.56176i) q^{78} -10.4433i q^{79} +(0.674247 + 2.13199i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-3.36270 - 0.901032i) q^{82} -1.51346i q^{83} +(-0.807754 + 3.01458i) q^{84} +(-0.164836 + 0.105213i) q^{85} +(7.12397 + 7.12397i) q^{86} +(-2.38012 + 8.88272i) q^{87} +(-0.628610 + 0.168435i) q^{88} +(-4.84513 - 18.0823i) q^{89} +(1.64991 + 1.50924i) q^{90} +(0.0542094 + 11.2525i) q^{91} +(-1.66994 - 1.66994i) q^{92} +(1.72150 + 0.993907i) q^{93} +(4.10687 + 2.37110i) q^{94} +(1.22856 + 1.92477i) q^{95} +(0.707107 - 0.707107i) q^{96} +(2.55851 + 4.43146i) q^{97} +(-1.37008 - 2.37305i) q^{98} +(-0.460174 + 0.460174i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8}+O(q^{10}) $ 16 * q + 8 * q^2 - 8 * q^4 + 24 * q^7 - 16 * q^8	$ 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8} + 12 q^{11} + 8 q^{13} - 8 q^{15} - 8 q^{16} - 4 q^{17} - 4 q^{19} + 4 q^{23} + 4 q^{25} + 4 q^{26} - 24 q^{28} - 48 q^{29} - 4 q^{30} + 16 q^{31} + 8 q^{32} + 16 q^{33} - 20 q^{34} - 12 q^{35} + 12 q^{37} + 4 q^{38} + 4 q^{39} - 12 q^{41} + 20 q^{43} - 12 q^{44} + 8 q^{45} - 4 q^{46} - 4 q^{49} - 16 q^{50} - 4 q^{52} + 32 q^{53} + 16 q^{55} - 24 q^{56} - 8 q^{57} - 48 q^{58} + 4 q^{59} + 4 q^{60} + 4 q^{61} - 4 q^{62} + 4 q^{63} + 16 q^{64} - 8 q^{65} + 32 q^{66} - 28 q^{67} - 16 q^{68} + 4 q^{69} - 36 q^{71} + 32 q^{73} + 12 q^{74} - 24 q^{75} + 8 q^{76} + 4 q^{77} + 20 q^{78} + 8 q^{81} - 24 q^{82} + 52 q^{85} + 16 q^{86} + 36 q^{87} - 12 q^{88} - 24 q^{89} + 4 q^{90} - 8 q^{92} + 36 q^{94} - 40 q^{95} - 4 q^{97} + 4 q^{98} - 12 q^{99}+O(q^{100}) $ 16 * q + 8 * q^2 - 8 * q^4 + 24 * q^7 - 16 * q^8 + 12 * q^11 + 8 * q^13 - 8 * q^15 - 8 * q^16 - 4 * q^17 - 4 * q^19 + 4 * q^23 + 4 * q^25 + 4 * q^26 - 24 * q^28 - 48 * q^29 - 4 * q^30 + 16 * q^31 + 8 * q^32 + 16 * q^33 - 20 * q^34 - 12 * q^35 + 12 * q^37 + 4 * q^38 + 4 * q^39 - 12 * q^41 + 20 * q^43 - 12 * q^44 + 8 * q^45 - 4 * q^46 - 4 * q^49 - 16 * q^50 - 4 * q^52 + 32 * q^53 + 16 * q^55 - 24 * q^56 - 8 * q^57 - 48 * q^58 + 4 * q^59 + 4 * q^60 + 4 * q^61 - 4 * q^62 + 4 * q^63 + 16 * q^64 - 8 * q^65 + 32 * q^66 - 28 * q^67 - 16 * q^68 + 4 * q^69 - 36 * q^71 + 32 * q^73 + 12 * q^74 - 24 * q^75 + 8 * q^76 + 4 * q^77 + 20 * q^78 + 8 * q^81 - 24 * q^82 + 52 * q^85 + 16 * q^86 + 36 * q^87 - 12 * q^88 - 24 * q^89 + 4 * q^90 - 8 * q^92 + 36 * q^94 - 40 * q^95 - 4 * q^97 + 4 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/390\mathbb{Z}\right)^\times$.

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{12}\right)$

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 $

$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$3$	−0.258819	−	0.965926i	−0.149429	−	0.557678i
$3$	−0.258819	−	0.965926i	−0.149429	−	0.557678i
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	1.50924	−	1.64991i	0.674951	−	0.737863i
$5$	1.50924	−	1.64991i	0.674951	−	0.737863i
$6$	−0.965926	−	0.258819i	−0.394338	−	0.105662i
$7$	2.70280	−	1.56046i	1.02156	−	0.589799i	0.107006	−	0.994258i	$-0.465874\pi$
$7$	2.70280	−	1.56046i	1.02156	−	0.589799i	0.914556	+	0.404459i	$0.132540\pi$
$8$	−1.00000			−0.353553
$9$	−0.866025	+	0.500000i	−0.288675	+	0.166667i
$10$	−0.674247	−	2.13199i	−0.213216	−	0.674195i
$11$	0.628610	−	0.168435i	0.189533	−	0.0507852i	−0.162804	−	0.986658i	$-0.552054\pi$
$11$	0.628610	−	0.168435i	0.189533	−	0.0507852i	0.352337	+	0.935873i	$0.385387\pi$
$12$	−0.707107	+	0.707107i	−0.204124	+	0.204124i
$13$	−1.78771	+	3.13115i	−0.495822	+	0.868424i
$13$	−1.78771	+	3.13115i	−0.495822	+	0.868424i
$14$		−	3.12092i		−	0.834102i
$15$	−1.98431	−	1.03078i	−0.512347	−	0.266147i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−0.0844736	−	0.0226346i	−0.0204879	−	0.00548970i	0.248561	−	0.968616i	$-0.420042\pi$
$17$	−0.0844736	−	0.0226346i	−0.0204879	−	0.00548970i	−0.269048	+	0.963127i	$0.586709\pi$
$18$			1.00000i			0.235702i
$19$	−0.264302	+	0.986389i	−0.0606351	+	0.226293i	−0.989594	−	0.143891i	$-0.954039\pi$
$19$	−0.264302	+	0.986389i	−0.0606351	+	0.226293i	0.928959	+	0.370184i	$0.120705\pi$
$20$	−2.18348	−	0.482081i	−0.488242	−	0.107797i
$21$	−2.20683	−	2.20683i	−0.481569	−	0.481569i
$22$	0.168435	−	0.628610i	0.0359106	−	0.134020i
$23$	2.28118	−	0.611240i	0.475659	−	0.127452i	−0.0130217	−	0.999915i	$-0.504145\pi$
$23$	2.28118	−	0.611240i	0.475659	−	0.127452i	0.488680	+	0.872463i	$0.337478\pi$
$24$	0.258819	+	0.965926i	0.0528312	+	0.197169i
$25$	−0.444415	−	4.98021i	−0.0888830	−	0.996042i
$26$	1.81780	+	3.11378i	0.356499	+	0.610662i
$27$	0.707107	+	0.707107i	0.136083	+	0.136083i
$28$	−2.70280	−	1.56046i	−0.510781	−	0.294899i
$29$	−7.96403	−	4.59804i	−1.47888	−	0.853834i	−0.479169	−	0.877723i	$-0.659062\pi$
$29$	−7.96403	−	4.59804i	−1.47888	−	0.853834i	−0.999715	+	0.0238887i	$0.992395\pi$
$30$	−1.88484	+	1.20307i	−0.344123	+	0.219650i
$31$	−1.40560	+	1.40560i	−0.252453	+	0.252453i	−0.821975	−	0.569523i	$-0.807128\pi$
$31$	−1.40560	+	1.40560i	−0.252453	+	0.252453i	0.569523	+	0.821975i	$0.307128\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$	−0.325392	−	0.563596i	−0.0566435	−	0.0981095i
$34$	−0.0618390	+	0.0618390i	−0.0106053	+	0.0106053i
$35$	1.50454	−	6.81448i	0.254313	−	1.15186i
$36$	0.866025	+	0.500000i	0.144338	+	0.0833333i
$37$	6.58253	+	3.80043i	1.08216	+	0.624786i	0.931479	−	0.363796i	$-0.118519\pi$
$37$	6.58253	+	3.80043i	1.08216	+	0.624786i	0.150683	+	0.988582i	$0.451853\pi$
$38$	0.722087	+	0.722087i	0.117138	+	0.117138i
$39$	3.48715	+	0.916397i	0.558391	+	0.146741i
$40$	−1.50924	+	1.64991i	−0.238631	+	0.260874i
$41$	−0.901032	−	3.36270i	−0.140718	−	0.525165i	−0.999909	−	0.0135103i	$-0.995699\pi$
$41$	−0.901032	−	3.36270i	−0.140718	−	0.525165i	0.859191	−	0.511655i	$-0.170967\pi$
$42$	−3.01458	+	0.807754i	−0.465160	+	0.124639i
$43$	−2.60755	+	9.73152i	−0.397648	+	1.48404i	0.419575	+	0.907721i	$0.362179\pi$
$43$	−2.60755	+	9.73152i	−0.397648	+	1.48404i	−0.817223	+	0.576322i	$0.804487\pi$
$44$	−0.460174	−	0.460174i	−0.0693739	−	0.0693739i
$45$	−0.482081	+	2.18348i	−0.0718644	+	0.325494i
$46$	0.611240	−	2.28118i	0.0901224	−	0.336341i
$47$			4.74221i			0.691722i	0.938286	+	0.345861i	$0.112413\pi$
$47$			4.74221i			0.691722i	−0.938286	+	0.345861i	$0.887587\pi$
$48$	0.965926	+	0.258819i	0.139419	+	0.0373573i
$49$	1.37008	−	2.37305i	0.195726	−	0.339007i
$50$	−4.53520	−	2.10523i	−0.641374	−	0.297725i
$51$			0.0874535i			0.0122459i
$52$	3.60551	−	0.0173697i	0.499994	−	0.00240874i
$53$	6.10974	−	6.10974i	0.839237	−	0.839237i	−0.149521	−	0.988758i	$-0.547773\pi$
$53$	6.10974	−	6.10974i	0.839237	−	0.839237i	0.988758	+	0.149521i	$0.0477733\pi$
$54$	0.965926	−	0.258819i	0.131446	−	0.0352208i
$55$	0.670817	−	1.29136i	0.0904529	−	0.174127i
$56$	−2.70280	+	1.56046i	−0.361177	+	0.208525i
$57$	1.02119			0.135259
$58$	−7.96403	+	4.59804i	−1.04573	+	0.603752i
$59$	12.7884	+	3.42665i	1.66491	+	0.446112i	0.963732	−	0.266872i	$-0.0859900\pi$
$59$	12.7884	+	3.42665i	1.66491	+	0.446112i	0.701181	+	0.712984i	$0.252657\pi$
$60$	0.0994727	+	2.23385i	0.0128419	+	0.288389i
$61$	3.40217	+	5.89274i	0.435604	+	0.754488i	0.997345	−	0.0728252i	$-0.0232015\pi$
$61$	3.40217	+	5.89274i	0.435604	+	0.754488i	−0.561741	+	0.827313i	$0.689868\pi$
$62$	0.514484	+	1.92008i	0.0653395	+	0.243851i
$63$	−1.56046	+	2.70280i	−0.196600	+	0.340521i
$64$	1.00000			0.125000
$65$	2.46804	+	7.67521i	0.306122	+	0.951992i
$66$	−0.650785			−0.0801061
$67$	−5.42255	+	9.39213i	−0.662470	+	1.14743i	0.317495	+	0.948260i	$0.397158\pi$
$67$	−5.42255	+	9.39213i	−0.662470	+	1.14743i	−0.979965	+	0.199172i	$0.936175\pi$
$68$	0.0226346	+	0.0844736i	0.00274485	+	0.0102439i
$69$	−1.18083	−	2.04525i	−0.142155	−	0.246219i
$70$	−5.14925	−	4.71021i	−0.615453	−	0.562978i
$71$	13.0079	+	3.48547i	1.54376	+	0.413649i	0.927478	−	0.373878i	$-0.121972\pi$
$71$	13.0079	+	3.48547i	1.54376	+	0.413649i	0.616281	+	0.787526i	$0.288639\pi$
$72$	0.866025	−	0.500000i	0.102062	−	0.0589256i
$73$	−2.45159			−0.286937			−0.143469	−	0.989655i	$-0.545826\pi$
$73$	−2.45159			−0.286937			−0.143469	+	0.989655i	$0.545826\pi$
$74$	6.58253	−	3.80043i	0.765204	−	0.441791i
$75$	−4.69549	+	1.71825i	−0.542189	+	0.198406i
$76$	0.986389	−	0.264302i	0.113147	−	0.0303175i
$77$	1.43617	−	1.43617i	0.163667	−	0.163667i
$78$	2.53720	−	2.56176i	0.287281	−	0.290062i
$79$		−	10.4433i		−	1.17496i	−0.809239	−	0.587480i	$-0.800120\pi$
$79$		−	10.4433i		−	1.17496i	0.809239	−	0.587480i	$-0.199880\pi$
$80$	0.674247	+	2.13199i	0.0753831	+	0.238364i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	−3.36270	−	0.901032i	−0.371348	−	0.0995023i
$83$		−	1.51346i		−	0.166124i	−0.996544	−	0.0830620i	$-0.973530\pi$
$83$		−	1.51346i		−	0.166124i	0.996544	−	0.0830620i	$-0.0264700\pi$
$84$	−0.807754	+	3.01458i	−0.0881332	+	0.328918i
$85$	−0.164836	+	0.105213i	−0.0178789	+	0.0114119i
$86$	7.12397	+	7.12397i	0.768197	+	0.768197i
$87$	−2.38012	+	8.88272i	−0.255176	+	0.952328i
$88$	−0.628610	+	0.168435i	−0.0670100	+	0.0179553i
$89$	−4.84513	−	18.0823i	−0.513583	−	1.91672i	−0.377466	−	0.926023i	$-0.623205\pi$
$89$	−4.84513	−	18.0823i	−0.513583	−	1.91672i	−0.136116	−	0.990693i	$-0.543462\pi$
$90$	1.64991	+	1.50924i	0.173916	+	0.159087i
$91$	0.0542094	+	11.2525i	0.00568268	+	1.17958i
$92$	−1.66994	−	1.66994i	−0.174103	−	0.174103i
$93$	1.72150	+	0.993907i	0.178511	+	0.103063i
$94$	4.10687	+	2.37110i	0.423592	+	0.244561i
$95$	1.22856	+	1.92477i	0.126048	+	0.197477i
$96$	0.707107	−	0.707107i	0.0721688	−	0.0721688i
$97$	2.55851	+	4.43146i	0.259777	+	0.449947i	0.966182	−	0.257861i	$-0.0830176\pi$
$97$	2.55851	+	4.43146i	0.259777	+	0.449947i	−0.706405	+	0.707808i	$0.749684\pi$
$98$	−1.37008	−	2.37305i	−0.138399	−	0.239714i
$99$	−0.460174	+	0.460174i	−0.0462493	+	0.0462493i
$100$	−4.09078	+	2.87498i	−0.409078	+	0.287498i
$101$	3.59747	+	2.07700i	0.357961	+	0.206669i	0.668186	−	0.743994i	$-0.267071\pi$
$101$	3.59747	+	2.07700i	0.357961	+	0.206669i	−0.310225	+	0.950663i	$0.600404\pi$
$102$	0.0757369	+	0.0437267i	0.00749908	+	0.00432959i
$103$	8.89096	+	8.89096i	0.876052	+	0.876052i	0.993124	−	0.117071i	$-0.0373505\pi$
$103$	8.89096	+	8.89096i	0.876052	+	0.876052i	−0.117071	+	0.993124i	$0.537351\pi$
$104$	1.78771	−	3.13115i	0.175300	−	0.307034i
$105$	−6.97169	+	0.310447i	−0.680367	+	0.0302965i
$106$	−2.23632	−	8.34606i	−0.217211	−	0.810641i
$107$	3.21069	−	0.860303i	0.310389	−	0.0831686i	−0.100262	−	0.994961i	$-0.531968\pi$
$107$	3.21069	−	0.860303i	0.310389	−	0.0831686i	0.410651	+	0.911792i	$0.365301\pi$
$108$	0.258819	−	0.965926i	0.0249049	−	0.0929463i
$109$	−8.53927	−	8.53927i	−0.817914	−	0.817914i	0.167891	−	0.985805i	$-0.446304\pi$
$109$	−8.53927	−	8.53927i	−0.817914	−	0.817914i	−0.985805	+	0.167891i	$0.946304\pi$
$110$	−0.782942	−	1.22662i	−0.0746505	−	0.116954i
$111$	1.96725	−	7.34186i	0.186723	−	0.696859i
$112$			3.12092i			0.294899i
$113$	−6.59892	−	1.76817i	−0.620774	−	0.166336i	−0.0652944	−	0.997866i	$-0.520799\pi$
$113$	−6.59892	−	1.76817i	−0.620774	−	0.166336i	−0.555480	+	0.831530i	$0.687465\pi$
$114$	0.510593	−	0.884372i	0.0478214	−	0.0828291i
$115$	2.43434	−	4.68625i	0.227004	−	0.436995i
$116$			9.19607i			0.853834i
$117$	−0.0173697	−	3.60551i	−0.00160583	−	0.333329i
$118$	9.36178	−	9.36178i	0.861822	−	0.861822i
$119$	−0.263636	+	0.0706409i	−0.0241674	+	0.00647564i
$120$	1.98431	+	1.03078i	0.181142	+	0.0940970i
$121$	−9.15950	+	5.28824i	−0.832682	+	0.480749i
$122$	6.80435			0.616037
$123$	−3.01491	+	1.74066i	−0.271845	+	0.156950i
$124$	1.92008	+	0.514484i	0.172428	+	0.0462020i
$125$	−8.88763	−	6.78307i	−0.794934	−	0.606696i
$126$	1.56046	+	2.70280i	0.139017	+	0.240784i
$127$	1.55188	+	5.79169i	0.137707	+	0.513930i	0.999972	+	0.00747241i	$0.00237857\pi$
$127$	1.55188	+	5.79169i	0.137707	+	0.513930i	−0.862265	+	0.506457i	$0.830955\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	10.0748			0.887038
$130$	7.88094	+	1.70022i	0.691204	+	0.149119i
$131$	−4.63651			−0.405094			−0.202547	−	0.979273i	$-0.564922\pi$
$131$	−4.63651			−0.405094			−0.202547	+	0.979273i	$0.564922\pi$
$132$	−0.325392	+	0.563596i	−0.0283218	+	0.0490547i
$133$	0.824867	+	3.07844i	0.0715250	+	0.266935i
$134$	5.42255	+	9.39213i	0.468437	+	0.811357i
$135$	2.23385	−	0.0994727i	0.192260	−	0.00856125i
$136$	0.0844736	+	0.0226346i	0.00724355	+	0.00194090i
$137$	−9.18440	+	5.30261i	−0.784676	+	0.453033i	−0.838085	−	0.545540i	$-0.816325\pi$
$137$	−9.18440	+	5.30261i	−0.784676	+	0.453033i	0.0534088	+	0.998573i	$0.482991\pi$
$138$	−2.36165			−0.201037
$139$	14.2433	−	8.22339i	1.20810	−	0.697499i	0.245759	−	0.969331i	$-0.420963\pi$
$139$	14.2433	−	8.22339i	1.20810	−	0.697499i	0.962345	+	0.271832i	$0.0876294\pi$
$140$	−6.65378	+	2.10427i	−0.562347	+	0.177844i
$141$	4.58062	−	1.22737i	0.385758	−	0.103364i
$142$	9.52248	−	9.52248i	0.799108	−	0.799108i
$143$	−0.596377	+	2.26938i	−0.0498715	+	0.189775i
$144$		−	1.00000i		−	0.0833333i
$145$	−19.6060	+	6.20043i	−1.62819	+	0.514917i
$146$	−1.22580	+	2.12314i	−0.101448	+	0.175712i
$147$	−2.64679	−	0.709205i	−0.218304	−	0.0584943i
$148$		−	7.60086i		−	0.624786i
$149$	−3.53174	+	13.1806i	−0.289331	+	1.07980i	0.656284	+	0.754514i	$0.272127\pi$
$149$	−3.53174	+	13.1806i	−0.289331	+	1.07980i	−0.945616	+	0.325286i	$0.894539\pi$
$150$	−0.859701	+	4.92554i	−0.0701943	+	0.402168i
$151$	−11.3033	−	11.3033i	−0.919852	−	0.919852i	0.0771662	−	0.997018i	$-0.475413\pi$
$151$	−11.3033	−	11.3033i	−0.919852	−	0.919852i	−0.997018	+	0.0771662i	$0.975413\pi$
$152$	0.264302	−	0.986389i	0.0214377	−	0.0800067i
$153$	0.0844736	−	0.0226346i	0.00682928	−	0.00182990i
$154$	−0.525674	−	1.96184i	−0.0423600	−	0.158090i
$155$	0.197733	+	4.44049i	0.0158823	+	0.356668i
$156$	−0.949952	−	3.47816i	−0.0760571	−	0.278476i
$157$	2.26173	+	2.26173i	0.180506	+	0.180506i	0.791576	−	0.611070i	$-0.209261\pi$
$157$	2.26173	+	2.26173i	0.180506	+	0.180506i	−0.611070	+	0.791576i	$0.709261\pi$
$158$	−9.04413	−	5.22163i	−0.719513	−	0.415411i
$159$	−7.48287	−	4.32024i	−0.593430	−	0.342617i
$160$	2.18348	+	0.482081i	0.172619	+	0.0381118i
$161$	5.21175	−	5.21175i	0.410743	−	0.410743i
$162$	−0.500000	−	0.866025i	−0.0392837	−	0.0680414i
$163$	7.91529	+	13.7097i	0.619973	+	1.07383i	0.989490	+	0.144601i	$0.0461899\pi$
$163$	7.91529	+	13.7097i	0.619973	+	1.07383i	−0.369517	+	0.929224i	$0.620477\pi$
$164$	−2.46166	+	2.46166i	−0.192224	+	0.192224i
$165$	−1.42098	−	0.313731i	−0.110623	−	0.0244239i
$166$	−1.31070	−	0.756731i	−0.101730	−	0.0587337i
$167$	−15.5369	−	8.97024i	−1.20228	−	0.694138i	−0.241221	−	0.970470i	$-0.577548\pi$
$167$	−15.5369	−	8.97024i	−1.20228	−	0.694138i	−0.961062	+	0.276332i	$0.910881\pi$
$168$	2.20683	+	2.20683i	0.170260	+	0.170260i
$169$	−6.60817	−	11.1952i	−0.508321	−	0.861168i
$170$	0.00869924	+	0.195358i	0.000667201	+	0.0149833i
$171$	−0.264302	−	0.986389i	−0.0202117	−	0.0754311i
$172$	9.73152	−	2.60755i	0.742021	−	0.198824i
$173$	0.0850494	−	0.317409i	0.00646619	−	0.0241321i	−0.962617	−	0.270865i	$-0.912690\pi$
$173$	0.0850494	−	0.317409i	0.00646619	−	0.0241321i	0.969084	+	0.246733i	$0.0793570\pi$
$174$	6.50261	+	6.50261i	0.492961	+	0.492961i
$175$	−8.97259	−	12.7670i	−0.678264	−	0.965095i
$176$	−0.168435	+	0.628610i	−0.0126963	+	0.0473832i
$177$		−	13.2396i		−	0.995147i
$178$	−18.0823	−	4.84513i	−1.35532	−	0.363158i
$179$	−10.9575	+	18.9789i	−0.819001	+	1.41855i	0.0874180	+	0.996172i	$0.472138\pi$
$179$	−10.9575	+	18.9789i	−0.819001	+	1.41855i	−0.906419	+	0.422380i	$0.861195\pi$
$180$	2.13199	−	0.674247i	0.158909	−	0.0502554i
$181$			6.11180i			0.454286i	0.973861	+	0.227143i	$0.0729385\pi$
$181$			6.11180i			0.454286i	−0.973861	+	0.227143i	$0.927061\pi$
$182$	9.77207	+	5.57931i	0.724354	+	0.413566i
$183$	4.81140	−	4.81140i	0.355669	−	0.355669i
$184$	−2.28118	+	0.611240i	−0.168171	+	0.0450612i
$185$	16.2050	−	5.12486i	1.19141	−	0.376787i
$186$	1.72150	−	0.993907i	0.126226	−	0.0728768i
$187$	−0.0569134			−0.00416192
$188$	4.10687	−	2.37110i	0.299525	−	0.172931i
$189$	3.01458	+	0.807754i	0.219278	+	0.0587555i
$190$	2.28118	−	0.101580i	0.165494	−	0.00736939i
$191$	−2.41078	−	4.17559i	−0.174438	−	0.302135i	0.765529	−	0.643401i	$-0.222477\pi$
$191$	−2.41078	−	4.17559i	−0.174438	−	0.302135i	−0.939966	+	0.341267i	$0.889144\pi$
$192$	−0.258819	−	0.965926i	−0.0186787	−	0.0697097i
$193$	−1.53169	+	2.65297i	−0.110254	+	0.190965i	−0.915872	−	0.401469i	$-0.868500\pi$
$193$	−1.53169	+	2.65297i	−0.110254	+	0.190965i	0.805619	+	0.592434i	$0.201833\pi$
$194$	5.11701			0.367380
$195$	6.77491	−	4.37043i	0.485161	−	0.312973i
$196$	−2.74016			−0.195726
$197$	1.03318	−	1.78952i	0.0736108	−	0.127498i	−0.826871	−	0.562392i	$-0.809881\pi$
$197$	1.03318	−	1.78952i	0.0736108	−	0.127498i	0.900481	+	0.434895i	$0.143214\pi$
$198$	0.168435	+	0.628610i	0.0119702	+	0.0446733i
$199$	2.09521	+	3.62902i	0.148526	+	0.257254i	0.930683	−	0.365827i	$-0.119214\pi$
$199$	2.09521	+	3.62902i	0.148526	+	0.257254i	−0.782157	+	0.623081i	$0.785881\pi$
$200$	0.444415	+	4.98021i	0.0314249	+	0.352154i
$201$	10.4756	+	2.80692i	0.738889	+	0.197985i
$202$	3.59747	−	2.07700i	0.253117	−	0.146137i
$203$	−28.7002			−2.01436
$204$	0.0757369	−	0.0437267i	0.00530265	−	0.00306148i
$205$	−6.90802	−	3.58848i	−0.482477	−	0.250630i
$206$	12.1453	−	3.25432i	0.846202	−	0.226739i
$207$	−1.66994	+	1.66994i	−0.116069	+	0.116069i
$208$	−1.81780	−	3.11378i	−0.126042	−	0.215902i
$209$			0.664572i			0.0459694i
$210$	−3.21699	+	6.19288i	−0.221993	+	0.427349i
$211$	6.34508	−	10.9900i	0.436813	−	0.756583i	−0.560628	−	0.828068i	$-0.689440\pi$
$211$	6.34508	−	10.9900i	0.436813	−	0.756583i	0.997442	+	0.0714847i	$0.0227737\pi$
$212$	−8.34606	−	2.23632i	−0.573210	−	0.153591i
$213$		−	13.4668i		−	0.922731i
$214$	0.860303	−	3.21069i	0.0588091	−	0.219478i
$215$	12.1207	+	18.9894i	0.826627	+	1.29507i
$216$	−0.707107	−	0.707107i	−0.0481125	−	0.0481125i
$217$	−1.60567	+	5.99242i	−0.109000	+	0.406792i
$218$	−11.6649	+	3.12559i	−0.790044	+	0.211692i
$219$	0.634519	+	2.36806i	0.0428768	+	0.160018i
$220$	−1.45376	+	0.0647353i	−0.0980124	+	0.00436445i
$221$	0.221887	−	0.224035i	0.0149257	−	0.0150702i
$222$	−5.37462	−	5.37462i	−0.360721	−	0.360721i
$223$	−12.4074	−	7.16344i	−0.830863	−	0.479699i	0.0232849	−	0.999729i	$-0.492588\pi$
$223$	−12.4074	−	7.16344i	−0.830863	−	0.479699i	−0.854148	+	0.520030i	$0.825921\pi$
$224$	2.70280	+	1.56046i	0.180588	+	0.104263i
$225$	2.87498	+	4.09078i	0.191665	+	0.272719i
$226$	−4.83074	+	4.83074i	−0.321336	+	0.321336i
$227$	−8.50979	−	14.7394i	−0.564815	−	0.978288i	−0.997067	−	0.0765352i	$-0.975614\pi$
$227$	−8.50979	−	14.7394i	−0.564815	−	0.978288i	0.432252	−	0.901753i	$-0.357719\pi$
$228$	−0.510593	−	0.884372i	−0.0338148	−	0.0585690i
$229$	−11.8234	+	11.8234i	−0.781309	+	0.781309i	−0.980052	−	0.198742i	$-0.936314\pi$
$229$	−11.8234	+	11.8234i	−0.781309	+	0.781309i	0.198742	+	0.980052i	$0.436314\pi$
$230$	−2.84124	−	4.45133i	−0.187346	−	0.293512i
$231$	−1.75894	−	1.01552i	−0.115730	−	0.0668166i
$232$	7.96403	+	4.59804i	0.522864	+	0.301876i
$233$	−1.14372	−	1.14372i	−0.0749275	−	0.0749275i	0.668650	−	0.743577i	$-0.266873\pi$
$233$	−1.14372	−	1.14372i	−0.0749275	−	0.0749275i	−0.743577	+	0.668650i	$0.766873\pi$
$234$	−3.13115	−	1.78771i	−0.204690	−	0.116866i
$235$	7.82423	+	7.15711i	0.510396	+	0.466878i
$236$	−3.42665	−	12.7884i	−0.223056	−	0.832456i
$237$	−10.0874	+	2.70292i	−0.655248	+	0.175573i
$238$	−0.0706409	+	0.263636i	−0.00457897	+	0.0170890i
$239$	0.186214	+	0.186214i	0.0120452	+	0.0120452i	0.713104	−	0.701059i	$-0.247289\pi$
$239$	0.186214	+	0.186214i	0.0120452	+	0.0120452i	−0.701059	+	0.713104i	$0.747289\pi$
$240$	1.88484	−	1.20307i	0.121666	−	0.0776580i
$241$	6.98567	−	26.0709i	0.449987	−	1.67937i	−0.252437	−	0.967613i	$-0.581232\pi$
$241$	6.98567	−	26.0709i	0.449987	−	1.67937i	0.702423	−	0.711759i	$-0.252101\pi$
$242$			10.5765i			0.679882i
$243$	−0.965926	−	0.258819i	−0.0619642	−	0.0166032i
$244$	3.40217	−	5.89274i	0.217802	−	0.377244i
$245$	−1.84754	−	5.84200i	−0.118035	−	0.373232i
$246$			3.48132i			0.221961i
$247$	−2.61603	−	2.59095i	−0.166454	−	0.164858i
$248$	1.40560	−	1.40560i	0.0892555	−	0.0892555i
$249$	−1.46189	+	0.391713i	−0.0926436	+	0.0248238i
$250$	−10.3181	+	4.30538i	−0.652575	+	0.272296i
$251$	−1.82325	+	1.05266i	−0.115083	+	0.0664430i	−0.556436	−	0.830890i	$-0.687832\pi$
$251$	−1.82325	+	1.05266i	−0.115083	+	0.0664430i	0.441354	+	0.897333i	$0.354498\pi$
$252$	3.12092			0.196600
$253$	1.33102	−	0.768463i	0.0836803	−	0.0483128i
$254$	5.79169	+	1.55188i	0.363403	+	0.0973736i
$255$	0.144291	+	0.131988i	0.00903582	+	0.00826541i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−2.98037	−	11.1229i	−0.185910	−	0.693827i	−0.994434	−	0.105363i	$-0.966400\pi$
$257$	−2.98037	−	11.1229i	−0.185910	−	0.693827i	0.808523	−	0.588464i	$-0.200267\pi$
$258$	5.03741	−	8.72504i	0.313615	−	0.543197i
$259$	23.7217			1.47399
$260$	5.41291	−	5.97499i	0.335694	−	0.370553i
$261$	9.19607			0.569223
$262$	−2.31825	+	4.01534i	−0.143222	+	0.248068i
$263$	−0.193354	−	0.721608i	−0.0119227	−	0.0444963i	0.959708	−	0.280999i	$-0.0906656\pi$
$263$	−0.193354	−	0.721608i	−0.0119227	−	0.0444963i	−0.971631	+	0.236502i	$0.923999\pi$
$264$	0.325392	+	0.563596i	0.0200265	+	0.0346869i
$265$	−0.859491	−	19.3016i	−0.0527981	−	1.18569i
$266$	3.07844	+	0.824867i	0.188752	+	0.0505758i
$267$	−16.2121	+	9.36007i	−0.992165	+	0.572827i
$268$	10.8451			0.662470
$269$	−13.5976	+	7.85055i	−0.829058	+	0.478657i	−0.853530	−	0.521044i	$-0.825543\pi$
$269$	−13.5976	+	7.85055i	−0.829058	+	0.478657i	0.0244723	+	0.999701i	$0.492209\pi$
$270$	1.03078	−	1.98431i	0.0627313	−	0.120761i
$271$	−8.22569	+	2.20407i	−0.499675	+	0.133888i	−0.499849	−	0.866112i	$-0.666611\pi$
$271$	−8.22569	+	2.20407i	−0.499675	+	0.133888i	0.000173978		1.00000i	$0.499945\pi$
$272$	0.0618390	−	0.0618390i	0.00374954	−	0.00374954i
$273$	10.8551	−	2.96473i	0.656978	−	0.179433i
$274$			10.6052i			0.640685i
$275$	−1.11821	−	3.05575i	−0.0674305	−	0.184269i
$276$	−1.18083	+	2.04525i	−0.0710773	+	0.123110i
$277$	3.82420	+	1.02469i	0.229774	+	0.0615677i	0.371869	−	0.928285i	$-0.378717\pi$
$277$	3.82420	+	1.02469i	0.229774	+	0.0615677i	−0.142095	+	0.989853i	$0.545384\pi$
$278$		−	16.4468i		−	0.986413i
$279$	0.514484	−	1.92008i	0.0308014	−	0.114952i
$280$	−1.50454	+	6.81448i	−0.0899133	+	0.407243i
$281$	−16.6714	−	16.6714i	−0.994534	−	0.994534i	0.00545067	−	0.999985i	$-0.498265\pi$
$281$	−16.6714	−	16.6714i	−0.994534	−	0.994534i	−0.999985	+	0.00545067i	$0.998265\pi$
$282$	1.22737	−	4.58062i	0.0730891	−	0.272772i
$283$	29.8822	−	8.00692i	1.77631	−	0.475962i	0.786410	−	0.617705i	$-0.211937\pi$
$283$	29.8822	−	8.00692i	1.77631	−	0.475962i	0.989903	+	0.141743i	$0.0452707\pi$
$284$	−3.48547	−	13.0079i	−0.206824	−	0.771879i
$285$	1.54121	−	1.68487i	0.0912934	−	0.0998028i
$286$	1.66716	+	1.65117i	0.0985810	+	0.0976357i
$287$	−7.68266	−	7.68266i	−0.453493	−	0.453493i
$288$	−0.866025	−	0.500000i	−0.0510310	−	0.0294628i
$289$	−14.7158	−	8.49618i	−0.865636	−	0.499775i
$290$	−4.43325	+	20.0795i	−0.260329	+	1.17911i
$291$	3.61828	−	3.61828i	0.212107	−	0.212107i
$292$	1.22580	+	2.12314i	0.0717343	+	0.124247i
$293$	10.1707	+	17.6162i	0.594178	+	1.02915i	0.993662	+	0.112407i	$0.0358560\pi$
$293$	10.1707	+	17.6162i	0.594178	+	1.02915i	−0.399484	+	0.916740i	$0.630811\pi$
$294$	−1.93758	+	1.93758i	−0.113002	+	0.113002i
$295$	24.9544	−	15.9282i	1.45290	−	0.927373i
$296$	−6.58253	−	3.80043i	−0.382602	−	0.220895i
$297$	0.563596	+	0.325392i	0.0327032	+	0.0188812i
$298$	9.64889	+	9.64889i	0.558945	+	0.558945i
$299$	−2.16421	+	8.23543i	−0.125159	+	0.476267i
$300$	3.83579	+	3.20729i	0.221459	+	0.185173i
$301$	8.13797	+	30.3713i	0.469065	+	1.75057i
$302$	−15.4406	+	4.13731i	−0.888509	+	0.238075i
$303$	1.07513	−	4.01245i	0.0617648	−	0.230509i
$304$	−0.722087	−	0.722087i	−0.0414145	−	0.0414145i
$305$	14.8572	+	3.28025i	0.850720	+	0.187826i
$306$	0.0226346	−	0.0844736i	0.00129394	−	0.00482903i
$307$			14.2902i			0.815585i	0.913075	+	0.407792i	$0.133701\pi$
$307$			14.2902i			0.815585i	−0.913075	+	0.407792i	$0.866299\pi$
$308$	−1.96184	−	0.525674i	−0.111786	−	0.0299531i
$309$	6.28686	−	10.8892i	0.357647	−	0.619463i
$310$	3.94444	+	2.04900i	0.224029	+	0.116375i
$311$			24.6571i			1.39818i	0.715034	+	0.699089i	$0.246411\pi$
$311$			24.6571i			1.39818i	−0.715034	+	0.699089i	$0.753589\pi$
$312$	−3.48715	−	0.916397i	−0.197421	−	0.0518807i
$313$	3.71347	−	3.71347i	0.209898	−	0.209898i	−0.594326	−	0.804224i	$-0.702581\pi$
$313$	3.71347	−	3.71347i	0.209898	−	0.209898i	0.804224	+	0.594326i	$0.202581\pi$
$314$	3.08959	−	0.827852i	0.174355	−	0.0467184i
$315$	2.10427	+	6.65378i	0.118562	+	0.374898i
$316$	−9.04413	+	5.22163i	−0.508772	+	0.293740i
$317$	−10.2414			−0.575212			−0.287606	−	0.957749i	$-0.592859\pi$
$317$	−10.2414			−0.575212			−0.287606	+	0.957749i	$0.592859\pi$
$318$	−7.48287	+	4.32024i	−0.419619	+	0.242267i
$319$	−5.78074	−	1.54894i	−0.323659	−	0.0867243i
$320$	1.50924	−	1.64991i	0.0843688	−	0.0922329i
$321$	−1.66198	−	2.87863i	−0.0927625	−	0.160669i
$322$	−1.90763	−	7.11938i	−0.106308	−	0.396748i
$323$	0.0446531	−	0.0773414i	0.00248457	−	0.00430339i
$324$	−1.00000			−0.0555556
$325$	16.3883	+	7.51165i	0.909057	+	0.416672i
$326$	15.8306			0.876775
$327$	−6.03818	+	10.4584i	−0.333912	+	0.578353i
$328$	0.901032	+	3.36270i	0.0497512	+	0.185674i
$329$	7.40003	+	12.8172i	0.407977	+	0.706637i
$330$	−0.982187	+	1.07374i	−0.0540676	+	0.0591073i
$331$	−22.3557	−	5.99019i	−1.22878	−	0.329251i	−0.414676	−	0.909969i	$-0.636105\pi$
$331$	−22.3557	−	5.99019i	−1.22878	−	0.329251i	−0.814105	+	0.580718i	$0.802772\pi$
$332$	−1.31070	+	0.756731i	−0.0719338	+	0.0415310i
$333$	−7.60086			−0.416524
$334$	−15.5369	+	8.97024i	−0.850142	+	0.490830i
$335$	7.31228	+	23.1217i	0.399513	+	1.26327i
$336$	3.01458	−	0.807754i	0.164459	−	0.0440666i
$337$	18.6883	−	18.6883i	1.01801	−	1.01801i	0.0181791	−	0.999835i	$-0.494213\pi$
$337$	18.6883	−	18.6883i	1.01801	−	1.01801i	0.999835	−	0.0181791i	$-0.00578691\pi$
$338$	−12.9994	+	0.125253i	−0.707074	+	0.00681286i
$339$			6.83170i			0.371047i
$340$	0.173535	+	0.0901454i	0.00941125	+	0.00488882i
$341$	−0.646819	+	1.12032i	−0.0350272	+	0.0606690i
$342$	−0.986389	−	0.264302i	−0.0533378	−	0.0142918i
$343$			13.2946i			0.717843i
$344$	2.60755	−	9.73152i	0.140590	−	0.524688i
$345$	−5.15662	−	1.13851i	−0.277623	−	0.0612951i
$346$	−0.232359	−	0.232359i	−0.0124917	−	0.0124917i
$347$	−5.12493	+	19.1265i	−0.275121	+	1.02676i	0.680640	+	0.732618i	$0.261702\pi$
$347$	−5.12493	+	19.1265i	−0.275121	+	1.02676i	−0.955761	+	0.294146i	$0.904965\pi$
$348$	8.88272	−	2.38012i	0.476164	−	0.127588i
$349$	0.0805064	+	0.300454i	0.00430941	+	0.0160829i	0.968047	−	0.250769i	$-0.0806833\pi$
$349$	0.0805064	+	0.300454i	0.00430941	+	0.0160829i	−0.963738	+	0.266852i	$0.914017\pi$
$350$	−15.5429	+	1.38699i	−0.830800	+	0.0741375i
$351$	−3.47816	+	0.949952i	−0.185650	+	0.0507047i
$352$	0.460174	+	0.460174i	0.0245274	+	0.0245274i
$353$	25.7121	+	14.8449i	1.36852	+	0.790114i	0.990739	−	0.135782i	$-0.0433546\pi$
$353$	25.7121	+	14.8449i	1.36852	+	0.790114i	0.377779	+	0.925896i	$0.376688\pi$
$354$	−11.4658	−	6.61978i	−0.609400	−	0.351837i
$355$	25.3828	−	16.2016i	1.34718	−	0.859890i
$356$	−13.2371	+	13.2371i	−0.701567	+	0.701567i
$357$	0.136468	+	0.236369i	0.00722264	+	0.0125100i
$358$	10.9575	+	18.9789i	0.579121	+	1.00307i
$359$	−24.4058	+	24.4058i	−1.28809	+	1.28809i	−0.352143	+	0.935946i	$0.614547\pi$
$359$	−24.4058	+	24.4058i	−1.28809	+	1.28809i	−0.935946	+	0.352143i	$0.885453\pi$
$360$	0.482081	−	2.18348i	0.0254079	−	0.115080i
$361$	15.5514	+	8.97859i	0.818493	+	0.472557i
$362$	5.29297	+	3.05590i	0.278192	+	0.160614i
$363$	7.47870	+	7.47870i	0.392530	+	0.392530i
$364$	9.71786	−	5.67320i	0.509354	−	0.297357i
$365$	−3.70003	+	4.04491i	−0.193669	+	0.211720i
$366$	−1.76110	−	6.57250i	−0.0920539	−	0.343550i
$367$	29.7480	−	7.97094i	1.55283	−	0.416080i	0.622445	−	0.782663i	$-0.286139\pi$
$367$	29.7480	−	7.97094i	1.55283	−	0.416080i	0.930385	+	0.366584i	$0.119473\pi$
$368$	−0.611240	+	2.28118i	−0.0318631	+	0.118915i
$369$	2.46166	+	2.46166i	0.128149	+	0.128149i
$370$	3.66423	−	16.5963i	0.190494	−	0.862803i
$371$	6.97938	−	26.0474i	0.362351	−	1.35231i
$372$		−	1.98781i		−	0.103063i
$373$	−1.75531	−	0.470335i	−0.0908867	−	0.0243530i	0.213089	−	0.977033i	$-0.431648\pi$
$373$	−1.75531	−	0.470335i	−0.0908867	−	0.0243530i	−0.303976	+	0.952680i	$0.598314\pi$
$374$	−0.0284567	+	0.0492884i	−0.00147146	+	0.00254864i
$375$	−4.25165	+	10.3404i	−0.219554	+	0.533975i
$376$		−	4.74221i		−	0.244561i
$377$	28.6345	−	16.7166i	1.47475	−	0.860948i
$378$	2.20683	−	2.20683i	0.113507	−	0.113507i
$379$	6.00997	−	1.61037i	0.308712	−	0.0827190i	−0.101137	−	0.994872i	$-0.532248\pi$
$379$	6.00997	−	1.61037i	0.308712	−	0.0827190i	0.409849	+	0.912153i	$0.365581\pi$
$380$	1.05262	−	2.02635i	0.0539982	−	0.103950i
$381$	5.19269	−	2.99800i	0.266030	−	0.153592i
$382$	−4.82155			−0.246692
$383$	−0.919738	+	0.531011i	−0.0469964	+	0.0271334i	−0.523314	−	0.852140i	$-0.675305\pi$
$383$	−0.919738	+	0.531011i	−0.0469964	+	0.0271334i	0.476318	+	0.879273i	$0.341971\pi$
$384$	−0.965926	−	0.258819i	−0.0492922	−	0.0132078i
$385$	−0.202034	−	4.53707i	−0.0102966	−	0.231230i
$386$	1.53169	+	2.65297i	0.0779611	+	0.135033i
$387$	−2.60755	−	9.73152i	−0.132549	−	0.494681i
$388$	2.55851	−	4.43146i	0.129889	−	0.224974i
$389$	−32.8035			−1.66320			−0.831602	−	0.555372i	$-0.812576\pi$
$389$	−32.8035			−1.66320			−0.831602	+	0.555372i	$0.812576\pi$
$390$	−0.397451	−	8.05246i	−0.0201257	−	0.407752i
$391$	−0.206535			−0.0104449
$392$	−1.37008	+	2.37305i	−0.0691995	+	0.119857i
$393$	1.20002	+	4.47852i	0.0605329	+	0.225912i
$394$	−1.03318	−	1.78952i	−0.0520507	−	0.0901545i
$395$	−17.2305	−	15.7614i	−0.866959	−	0.793040i
$396$	0.628610	+	0.168435i	0.0315888	+	0.00846420i
$397$	−32.3861	+	18.6981i	−1.62541	+	0.938431i	−0.639971	+	0.768399i	$0.721054\pi$
$397$	−32.3861	+	18.6981i	−1.62541	+	0.938431i	−0.985439	+	0.170031i	$0.945613\pi$
$398$	4.19043			0.210047
$399$	2.76006	−	1.59352i	0.138176	−	0.0797758i
$400$	4.53520	+	2.10523i	0.226760	+	0.105262i
$401$	−0.873330	+	0.234008i	−0.0436120	+	0.0116858i	−0.280559	−	0.959837i	$-0.590520\pi$
$401$	−0.873330	+	0.234008i	−0.0436120	+	0.0116858i	0.236947	+	0.971523i	$0.423853\pi$
$402$	7.66865	−	7.66865i	0.382477	−	0.382477i
$403$	−1.88833	−	6.91393i	−0.0940643	−	0.344408i
$404$		−	4.15400i		−	0.206669i
$405$	−0.674247	−	2.13199i	−0.0335036	−	0.105940i
$406$	−14.3501	+	24.8551i	−0.712184	+	1.23354i
$407$	4.77797	+	1.28025i	0.236835	+	0.0634598i
$408$		−	0.0874535i		−	0.00432959i
$409$	−6.85691	+	25.5903i	−0.339052	+	1.26536i	0.560356	+	0.828252i	$0.310664\pi$
$409$	−6.85691	+	25.5903i	−0.339052	+	1.26536i	−0.899409	+	0.437109i	$0.856002\pi$
$410$	−6.56172	+	4.18828i	−0.324060	+	0.206844i
$411$	7.49903	+	7.49903i	0.369900	+	0.369900i
$412$	3.25432	−	12.1453i	0.160329	−	0.598355i
$413$	39.9117	−	10.6943i	1.96393	−	0.526233i
$414$	0.611240	+	2.28118i	0.0300408	+	0.112114i
$415$	−2.49708	−	2.28417i	−0.122577	−	0.112126i
$416$	−3.60551	+	0.0173697i	−0.176775	+	0.000851617i
$417$	−11.6296	−	11.6296i	−0.569506	−	0.569506i
$418$	0.575536	+	0.332286i	0.0281504	+	0.0162526i
$419$	9.10788	+	5.25844i	0.444949	+	0.256891i	0.705695	−	0.708516i	$-0.250635\pi$
$419$	9.10788	+	5.25844i	0.444949	+	0.256891i	−0.260746	+	0.965408i	$0.583968\pi$
$420$	3.75470	+	5.88243i	0.183211	+	0.287033i
$421$	2.06316	−	2.06316i	0.100552	−	0.100552i	−0.655041	−	0.755593i	$-0.727349\pi$
$421$	2.06316	−	2.06316i	0.100552	−	0.100552i	0.755593	+	0.655041i	$0.227349\pi$
$422$	−6.34508	−	10.9900i	−0.308874	−	0.534985i
$423$	−2.37110	−	4.10687i	−0.115287	−	0.199683i
$424$	−6.10974	+	6.10974i	−0.296715	+	0.296715i
$425$	−0.0751839	+	0.430755i	−0.00364695	+	0.0208947i
$426$	−11.6626	−	6.73341i	−0.565055	−	0.326235i
$427$	18.3908	+	10.6179i	0.889992	+	0.513837i
$428$	−2.35039	−	2.35039i	−0.113610	−	0.113610i
$429$	2.34641	−	0.0113039i	0.113286	−	0.000545758i
$430$	22.5057	−	1.00217i	1.08532	−	0.0483289i
$431$	−4.66334	−	17.4038i	−0.224625	−	0.838313i	−0.982554	−	0.185976i	$-0.940455\pi$
$431$	−4.66334	−	17.4038i	−0.224625	−	0.838313i	0.757929	−	0.652337i	$-0.226211\pi$
$432$	−0.965926	+	0.258819i	−0.0464731	+	0.0124524i
$433$	−9.13438	+	34.0900i	−0.438970	+	1.63826i	0.292413	+	0.956292i	$0.405542\pi$
$433$	−9.13438	+	34.0900i	−0.438970	+	1.63826i	−0.731383	+	0.681967i	$0.761125\pi$
$434$	4.38676	+	4.38676i	0.210571	+	0.210571i
$435$	11.0635	+	17.3331i	0.530456	+	0.831059i
$436$	−3.12559	+	11.6649i	−0.149689	+	0.558646i
$437$			2.41168i			0.115366i
$438$	2.36806	+	0.634519i	0.113150	+	0.0303185i
$439$	−2.75416	+	4.77035i	−0.131449	+	0.227677i	−0.924235	−	0.381823i	$-0.875296\pi$
$439$	−2.75416	+	4.77035i	−0.131449	+	0.227677i	0.792786	+	0.609500i	$0.208630\pi$
$440$	−0.670817	+	1.29136i	−0.0319799	+	0.0615631i
$441$			2.74016i			0.130484i
$442$	−0.0830766	−	0.304177i	−0.00395155	−	0.0144682i
$443$	1.58762	−	1.58762i	0.0754302	−	0.0754302i	−0.668385	−	0.743815i	$-0.733014\pi$
$443$	1.58762	−	1.58762i	0.0754302	−	0.0754302i	0.743815	+	0.668385i	$0.233014\pi$
$444$	−7.34186	+	1.96725i	−0.348429	+	0.0933614i
$445$	−37.1466	−	19.2964i	−1.76092	−	0.914736i
$446$	−12.4074	+	7.16344i	−0.587509	+	0.339199i
$447$	13.6456			0.645415
$448$	2.70280	−	1.56046i	0.127695	−	0.0737249i
$449$	27.8644	+	7.46623i	1.31500	+	0.352353i	0.847103	−	0.531429i	$-0.178345\pi$
$449$	27.8644	+	7.46623i	1.31500	+	0.352353i	0.467898	+	0.883782i	$0.345011\pi$
$450$	4.98021	−	0.444415i	0.234769	−	0.0209499i
$451$	−1.13279	−	1.96206i	−0.0533412	−	0.0923897i
$452$	1.76817	+	6.59892i	0.0831679	+	0.310387i
$453$	−7.99266	+	13.8437i	−0.375528	+	0.650434i
$454$	−17.0196			−0.798769
$455$	18.6475	+	16.8933i	0.874207	+	0.791968i
$456$	−1.02119			−0.0478214
$457$	20.0655	−	34.7545i	0.938627	−	1.62575i	0.170591	−	0.985342i	$-0.445432\pi$
$457$	20.0655	−	34.7545i	0.938627	−	1.62575i	0.768036	−	0.640407i	$-0.221234\pi$
$458$	4.32765	+	16.1510i	0.202218	+	0.754687i
$459$	−0.0437267	−	0.0757369i	−0.00204099	−	0.00353510i
$460$	−5.27558	+	0.234920i	−0.245975	+	0.0109532i
$461$	−16.2685	−	4.35912i	−0.757698	−	0.203025i	−0.140768	−	0.990043i	$-0.544957\pi$
$461$	−16.2685	−	4.35912i	−0.757698	−	0.203025i	−0.616930	+	0.787018i	$0.711624\pi$
$462$	−1.75894	+	1.01552i	−0.0818333	+	0.0472465i
$463$	−38.5945			−1.79364			−0.896818	−	0.442399i	$-0.854128\pi$
$463$	−38.5945			−1.79364			−0.896818	+	0.442399i	$0.854128\pi$
$464$	7.96403	−	4.59804i	0.369721	−	0.213458i
$465$	4.23800	−	1.34028i	0.196533	−	0.0621539i
$466$	−1.56235	+	0.418630i	−0.0723744	+	0.0193927i
$467$	−15.2256	+	15.2256i	−0.704556	+	0.704556i	−0.965385	−	0.260829i	$-0.916004\pi$
$467$	−15.2256	+	15.2256i	−0.704556	+	0.704556i	0.260829	+	0.965385i	$0.416004\pi$
$468$	−3.11378	+	1.81780i	−0.143934	+	0.0840277i
$469$			33.8467i			1.56290i
$470$	10.1104	−	3.19742i	0.466356	−	0.147486i
$471$	1.59929	−	2.77005i	0.0736913	−	0.127637i
$472$	−12.7884	−	3.42665i	−0.588635	−	0.157724i
$473$			6.55653i			0.301470i
$474$	−2.70292	+	10.0874i	−0.124149	+	0.463331i
$475$	5.02989	+	0.877914i	0.230787	+	0.0402815i
$476$	0.192995	+	0.192995i	0.00884589	+	0.00884589i
$477$	−2.23632	+	8.34606i	−0.102394	+	0.382140i
$478$	0.254373	−	0.0681589i	0.0116347	−	0.00311752i
$479$	−3.98679	−	14.8789i	−0.182161	−	0.679835i	−0.995220	−	0.0976537i	$-0.968866\pi$
$479$	−3.98679	−	14.8789i	−0.182161	−	0.679835i	0.813059	−	0.582181i	$-0.197800\pi$
$480$	−0.0994727	−	2.23385i	−0.00454029	−	0.101961i
$481$	−23.6674	+	13.8168i	−1.07914	+	0.629992i
$482$	−19.0852	−	19.0852i	−0.869307	−	0.869307i
$483$	−6.38306	−	3.68526i	−0.290439	−	0.167685i
$484$	9.15950	+	5.28824i	0.416341	+	0.240375i
$485$	11.1729	+	2.46681i	0.507336	+	0.112012i
$486$	−0.707107	+	0.707107i	−0.0320750	+	0.0320750i
$487$	−9.42678	−	16.3277i	−0.427168	−	0.739877i	0.569452	−	0.822025i	$-0.307155\pi$
$487$	−9.42678	−	16.3277i	−0.427168	−	0.739877i	−0.996620	+	0.0821477i	$0.973822\pi$
$488$	−3.40217	−	5.89274i	−0.154009	−	0.266752i
$489$	11.1939	−	11.1939i	0.506206	−	0.506206i
$490$	−5.98309	−	1.32098i	−0.270288	−	0.0596757i
$491$	−4.22759	−	2.44080i	−0.190789	−	0.110152i	0.401563	−	0.915831i	$-0.368467\pi$
$491$	−4.22759	−	2.44080i	−0.190789	−	0.110152i	−0.592352	+	0.805680i	$0.701800\pi$
$492$	3.01491	+	1.74066i	0.135923	+	0.0784750i
$493$	0.568676	+	0.568676i	0.0256119	+	0.0256119i
$494$	−3.55184	+	0.970077i	−0.159805	+	0.0436458i
$495$	0.0647353	+	1.45376i	0.00290964	+	0.0653416i
$496$	−0.514484	−	1.92008i	−0.0231010	−	0.0862142i
$497$	40.5968	−	10.8779i	1.82101	−	0.487939i
$498$	−0.391713	+	1.46189i	−0.0175531	+	0.0655090i
$499$	−6.12464	−	6.12464i	−0.274176	−	0.274176i	0.556603	−	0.830779i	$-0.312105\pi$
$499$	−6.12464	−	6.12464i	−0.274176	−	0.274176i	−0.830779	+	0.556603i	$0.812105\pi$
$500$	−1.43049	+	11.0884i	−0.0639735	+	0.495891i
$501$	−4.64334	+	17.3292i	−0.207449	+	0.774211i
$502$			2.10531i			0.0939646i
$503$	24.4571	+	6.55326i	1.09049	+	0.292196i	0.758886	−	0.651223i	$-0.225744\pi$
$503$	24.4571	+	6.55326i	1.09049	+	0.292196i	0.331603	+	0.943419i	$0.392411\pi$
$504$	1.56046	−	2.70280i	0.0695085	−	0.120392i
$505$	8.85629	−	2.80082i	0.394100	−	0.124635i
$506$		−	1.53693i		−	0.0683247i
$507$	−9.10339	+	9.28053i	−0.404296	+	0.412163i
$508$	4.23981	−	4.23981i	0.188111	−	0.188111i
$509$	11.3870	−	3.05113i	0.504719	−	0.135239i	0.00252998	−	0.999997i	$-0.499195\pi$
$509$	11.3870	−	3.05113i	0.504719	−	0.135239i	0.502189	+	0.864758i	$0.332528\pi$
$510$	0.186450	−	0.0589653i	0.00825615	−	0.00261103i
$511$	−6.62616	+	3.82562i	−0.293124	+	0.169235i
$512$	−1.00000			−0.0441942
$513$	−0.884372	+	0.510593i	−0.0390460	+	0.0225432i
$514$	−11.1229	−	2.98037i	−0.490610	−	0.131458i
$515$	28.0879	−	1.25074i	1.23770	−	0.0551143i
$516$	−5.03741	−	8.72504i	−0.221759	−	0.384099i
$517$	0.798756	+	2.98100i	0.0351293	+	0.131104i
$518$	11.8608	−	20.5436i	0.521135	−	0.902633i
$519$	−0.328606			−0.0144242
$520$	−2.46804	−	7.67521i	−0.108231	−	0.336580i
$521$	7.65452			0.335351			0.167675	−	0.985842i	$-0.446374\pi$
$521$	7.65452			0.335351			0.167675	+	0.985842i	$0.446374\pi$
$522$	4.59804	−	7.96403i	0.201251	−	0.348576i
$523$	−7.63073	−	28.4783i	−0.333669	−	1.24527i	−0.905305	−	0.424762i	$-0.860358\pi$
$523$	−7.63073	−	28.4783i	−0.333669	−	1.24527i	0.571636	−	0.820507i	$-0.306309\pi$
$524$	2.31825	+	4.01534i	0.101273	+	0.175411i
$525$	−10.0097	+	11.9712i	−0.436860	+	0.522466i
$526$	−0.721608	−	0.193354i	−0.0314636	−	0.00843065i
$527$	0.150551	−	0.0869206i	0.00655810	−	0.00378632i
$528$	0.650785			0.0283218
$529$	−15.0884	+	8.71130i	−0.656018	+	0.378752i
$530$	−17.1454	−	8.90644i	−0.744748	−	0.386871i
$531$	−12.7884	+	3.42665i	−0.554971	+	0.148704i
$532$	2.25358	−	2.25358i	0.0977050	−	0.0977050i
$533$	12.1399	+	3.19027i	0.525837	+	0.138186i
$534$			18.7201i			0.810100i
$535$	3.42627	−	6.59576i	0.148131	−	0.285160i
$536$	5.42255	−	9.39213i	0.234219	−	0.405678i
$537$	21.1682	+	5.67201i	0.913477	+	0.244765i
$538$			15.7011i			0.676923i
$539$	0.461540	−	1.72249i	0.0198799	−	0.0741929i
$540$	−1.20307	−	1.88484i	−0.0517720	−	0.0811105i
$541$	−7.28454	−	7.28454i	−0.313187	−	0.313187i	0.532956	−	0.846143i	$-0.321081\pi$
$541$	−7.28454	−	7.28454i	−0.313187	−	0.313187i	−0.846143	+	0.532956i	$0.821081\pi$
$542$	−2.20407	+	8.22569i	−0.0946728	+	0.353324i
$543$	5.90354	−	1.58185i	0.253345	−	0.0678837i
$544$	−0.0226346	−	0.0844736i	−0.000970452	−	0.00362178i
$545$	−26.9768	+	1.20127i	−1.15556	+	0.0514567i
$546$	2.86000	−	10.8831i	0.122397	−	0.465755i
$547$	−8.12503	−	8.12503i	−0.347401	−	0.347401i	0.511739	−	0.859141i	$-0.329001\pi$
$547$	−8.12503	−	8.12503i	−0.347401	−	0.347401i	−0.859141	+	0.511739i	$0.829001\pi$
$548$	9.18440	+	5.30261i	0.392338	+	0.226516i
$549$	−5.89274	−	3.40217i	−0.251496	−	0.145201i
$550$	−3.20546	−	0.559480i	−0.136681	−	0.0238563i
$551$	6.64036	−	6.64036i	0.282889	−	0.282889i
$552$	1.18083	+	2.04525i	0.0502593	+	0.0870516i
$553$	−16.2963	−	28.2260i	−0.692990	−	1.20029i
$554$	2.79951	−	2.79951i	0.118940	−	0.118940i
$555$	−9.14438	−	14.3264i	−0.388157	−	0.608121i
$556$	−14.2433	−	8.22339i	−0.604052	−	0.348750i
$557$	−15.7081	−	9.06907i	−0.665573	−	0.384269i	0.128824	−	0.991667i	$-0.458880\pi$
$557$	−15.7081	−	9.06907i	−0.665573	−	0.384269i	−0.794397	+	0.607399i	$0.792213\pi$
$558$	−1.40560	−	1.40560i	−0.0595037	−	0.0595037i
$559$	−25.8093	−	25.5618i	−1.09162	−	1.08115i
$560$	5.14925	+	4.71021i	0.217595	+	0.199043i
$561$	0.0147303	+	0.0549741i	0.000621912	+	0.00232101i
$562$	−22.7736	+	6.10217i	−0.960647	+	0.257404i
$563$	9.04247	−	33.7469i	0.381094	−	1.42226i	−0.463138	−	0.886286i	$-0.653276\pi$
$563$	9.04247	−	33.7469i	0.381094	−	1.42226i	0.844232	−	0.535978i	$-0.180057\pi$
$564$	−3.35325	−	3.35325i	−0.141197	−	0.141197i
$565$	−12.8767	+	8.21904i	−0.541725	+	0.345778i
$566$	8.00692	−	29.8822i	0.336556	−	1.25604i
$567$		−	3.12092i		−	0.131066i
$568$	−13.0079	−	3.48547i	−0.545801	−	0.146247i
$569$	12.2319	−	21.1863i	0.512790	−	0.888178i	−0.487100	−	0.873346i	$-0.661945\pi$
$569$	12.2319	−	21.1863i	0.512790	−	0.888178i	0.999890	−	0.0148316i	$-0.00472122\pi$
$570$	−0.688531	−	2.17716i	−0.0288394	−	0.0911911i
$571$		−	22.5270i		−	0.942727i	−0.881939	−	0.471364i	$-0.843762\pi$
$571$		−	22.5270i		−	0.942727i	0.881939	−	0.471364i	$-0.156238\pi$
$572$	2.26353	−	0.618214i	0.0946431	−	0.0258488i
$573$	−3.40935	+	3.40935i	−0.142428	+	0.142428i
$574$	−10.4947	+	2.81205i	−0.438041	+	0.117373i
$575$	−4.05789	−	11.0891i	−0.169226	−	0.462448i
$576$	−0.866025	+	0.500000i	−0.0360844	+	0.0208333i
$577$	32.1391			1.33797			0.668985	−	0.743276i	$-0.266729\pi$
$577$	32.1391			1.33797			0.668985	+	0.743276i	$0.266729\pi$
$578$	−14.7158	+	8.49618i	−0.612097	+	0.353394i
$579$	2.95900	+	0.792862i	0.122972	+	0.0329502i
$580$	15.1727	+	13.8790i	0.630012	+	0.576296i
$581$	−2.36170	−	4.09058i	−0.0979798	−	0.169706i
$582$	−1.32438	−	4.94266i	−0.0548973	−	0.204880i
$583$	2.81154	−	4.86974i	0.116442	−	0.201684i
$584$	2.45159			0.101448
$585$	−5.97499	−	5.41291i	−0.247035	−	0.223796i
$586$	20.3414			0.840295
$587$	9.98075	−	17.2872i	0.411950	−	0.713517i	−0.583153	−	0.812362i	$-0.698181\pi$
$587$	9.98075	−	17.2872i	0.411950	−	0.713517i	0.995103	+	0.0988446i	$0.0315147\pi$
$588$	0.709205	+	2.64679i	0.0292471	+	0.109152i
$589$	−1.01496	−	1.75797i	−0.0418208	−	0.0724358i
$590$	−1.31698	−	29.5753i	−0.0542190	−	1.21759i
$591$	−1.99594	−	0.534812i	−0.0821022	−	0.0219992i
$592$	−6.58253	+	3.80043i	−0.270540	+	0.156197i
$593$	4.57405			0.187834			0.0939169	−	0.995580i	$-0.470061\pi$
$593$	4.57405			0.187834			0.0939169	+	0.995580i	$0.470061\pi$
$594$	0.563596	−	0.325392i	0.0231246	−	0.0133510i
$595$	−0.281337	+	0.541589i	−0.0115337	+	0.0222030i
$596$	13.1806	−	3.53174i	0.539900	−	0.144666i
$597$	2.96308	−	2.96308i	0.121271	−	0.121271i
$598$	6.04999	+	5.99197i	0.247402	+	0.245030i
$599$		−	26.5385i		−	1.08433i	−0.840271	−	0.542167i	$-0.817604\pi$
$599$		−	26.5385i		−	1.08433i	0.840271	−	0.542167i	$-0.182396\pi$
$600$	4.69549	−	1.71825i	0.191693	−	0.0701471i
$601$	13.3672	−	23.1528i	0.545261	−	0.944420i	−0.453329	−	0.891343i	$-0.649764\pi$
$601$	13.3672	−	23.1528i	0.545261	−	0.944420i	0.998590	−	0.0530772i	$-0.0169029\pi$
$602$	30.3713	+	8.13797i	1.23784	+	0.331679i
$603$		−	10.8451i		−	0.441647i
$604$	−4.13731	+	15.4406i	−0.168345	+	0.628271i
$605$	−5.09872	+	23.0936i	−0.207292	+	0.938887i
$606$	−2.93732	−	2.93732i	−0.119320	−	0.119320i
$607$	−3.14802	+	11.7486i	−0.127774	+	0.476860i	−0.999923	−	0.0123802i	$-0.996059\pi$
$607$	−3.14802	+	11.7486i	−0.127774	+	0.476860i	0.872149	+	0.489240i	$0.162726\pi$
$608$	−0.986389	+	0.264302i	−0.0400034	+	0.0107189i
$609$	7.42817	+	27.7223i	0.301005	+	1.12336i
$610$	10.2694	−	11.2266i	0.415795	−	0.454551i
$611$	−14.8486	−	8.47771i	−0.600708	−	0.342971i
$612$	−0.0618390	−	0.0618390i	−0.00249969	−	0.00249969i
$613$	−17.4627	−	10.0821i	−0.705311	−	0.407212i	0.104011	−	0.994576i	$-0.466832\pi$
$613$	−17.4627	−	10.0821i	−0.705311	−	0.407212i	−0.809323	+	0.587364i	$0.800166\pi$
$614$	12.3757	+	7.14510i	0.499442	+	0.288353i
$615$	−1.67828	+	7.60140i	−0.0676747	+	0.306518i
$616$	−1.43617	+	1.43617i	−0.0578649	+	0.0578649i
$617$	−18.8232	−	32.6028i	−0.757794	−	1.31254i	−0.943973	−	0.330023i	$-0.892944\pi$
$617$	−18.8232	−	32.6028i	−0.757794	−	1.31254i	0.186179	−	0.982516i	$-0.440390\pi$
$618$	−6.28686	−	10.8892i	−0.252895	−	0.438026i
$619$	27.2529	−	27.2529i	1.09539	−	1.09539i	0.100442	−	0.994943i	$-0.467974\pi$
$619$	27.2529	−	27.2529i	1.09539	−	1.09539i	0.994943	−	0.100442i	$-0.0320258\pi$
$620$	3.74671	−	2.39149i	0.150471	−	0.0960444i
$621$	2.04525	+	1.18083i	0.0820730	+	0.0473849i
$622$	21.3537	+	12.3286i	0.856206	+	0.494331i
$623$	−41.3121	−	41.3121i	−1.65513	−	1.65513i
$624$	−2.53720	+	2.56176i	−0.101569	+	0.102553i
$625$	−24.6050	+	4.42656i	−0.984200	+	0.177062i
$626$	−1.35922	−	5.07269i	−0.0543255	−	0.202745i
$627$	0.641927	−	0.172004i	0.0256361	−	0.00686917i
$628$	0.827852	−	3.08959i	0.0330349	−	0.123288i
$629$	−0.470029	−	0.470029i	−0.0187413	−	0.0187413i
$630$	6.81448	+	1.50454i	0.271495	+	0.0599422i
$631$	2.11491	−	7.89297i	0.0841934	−	0.314214i	−0.910967	−	0.412480i	$-0.864663\pi$
$631$	2.11491	−	7.89297i	0.0841934	−	0.314214i	0.995160	+	0.0982656i	$0.0313295\pi$
$632$			10.4433i			0.415411i
$633$	−12.2578	−	3.28446i	−0.487202	−	0.130545i
$634$	−5.12068	+	8.86927i	−0.203368	+	0.352244i
$635$	11.8979	+	6.18057i	0.472155	+	0.245268i
$636$			8.64047i			0.342617i
$637$	4.98105	+	8.53225i	0.197357	+	0.338060i
$638$	−4.23180	+	4.23180i	−0.167538	+	0.167538i
$639$	−13.0079	+	3.48547i	−0.514586	+	0.137883i
$640$	−0.674247	−	2.13199i	−0.0266520	−	0.0842744i
$641$	−15.0450	+	8.68624i	−0.594242	+	0.343086i	−0.766773	−	0.641918i	$-0.778139\pi$
$641$	−15.0450	+	8.68624i	−0.594242	+	0.343086i	0.172531	+	0.985004i	$0.444805\pi$
$642$	−3.32395			−0.131186
$643$	17.8672	−	10.3157i	0.704615	−	0.406810i	−0.104449	−	0.994530i	$-0.533308\pi$
$643$	17.8672	−	10.3157i	0.704615	−	0.406810i	0.809064	+	0.587721i	$0.199975\pi$
$644$	−7.11938	−	1.90763i	−0.280543	−	0.0751713i
$645$	15.2053	−	16.6225i	0.598707	−	0.654512i
$646$	−0.0446531	−	0.0773414i	−0.00175685	−	0.00304296i
$647$	4.87092	+	18.1785i	0.191496	+	0.714671i	0.993146	+	0.116878i	$0.0372888\pi$
$647$	4.87092	+	18.1785i	0.191496	+	0.714671i	−0.801651	+	0.597793i	$0.796045\pi$
$648$	−0.500000	+	0.866025i	−0.0196419	+	0.0340207i
$649$	8.61610			0.338212
$650$	14.6994	−	10.4368i	0.576558	−	0.409366i
$651$	6.20381			0.243147
$652$	7.91529	−	13.7097i	0.309987	−	0.536913i
$653$	10.6879	+	39.8876i	0.418248	+	1.56092i	0.778240	+	0.627967i	$0.216113\pi$
$653$	10.6879	+	39.8876i	0.418248	+	1.56092i	−0.359992	+	0.932956i	$0.617220\pi$
$654$	6.03818	+	10.4584i	0.236111	+	0.408957i
$655$	−6.99759	+	7.64983i	−0.273418	+	0.298904i
$656$	3.36270	+	0.901032i	0.131291	+	0.0351794i
$657$	2.12314	−	1.22580i	0.0828317	−	0.0478229i
$658$	14.8001			0.576967
$659$	−11.0082	+	6.35559i	−0.428819	+	0.247579i	−0.698843	−	0.715275i	$-0.746302\pi$
$659$	−11.0082	+	6.35559i	−0.428819	+	0.247579i	0.270025	+	0.962853i	$0.412968\pi$
$660$	0.438790	+	1.38747i	0.0170799	+	0.0540071i
$661$	−35.9999	+	9.64615i	−1.40023	+	0.375192i	−0.878429	−	0.477873i	$-0.841408\pi$
$661$	−35.9999	+	9.64615i	−1.40023	+	0.375192i	−0.521805	+	0.853065i	$0.674741\pi$
$662$	−16.3655	+	16.3655i	−0.636064	+	0.636064i
$663$	−0.273830	−	0.156342i	−0.0106347	−	0.00607181i
$664$			1.51346i			0.0587337i
$665$	6.32408	+	3.28514i	0.245237	+	0.127392i
$666$	−3.80043	+	6.58253i	−0.147264	+	0.255068i
$667$	−20.9779	−	5.62101i	−0.812267	−	0.217646i
$668$			17.9405i			0.694138i
$669$	−3.70807	+	13.8387i	−0.143362	+	0.535035i
$670$	23.6801	+	5.22822i	0.914842	+	0.201984i
$671$	3.13119	+	3.13119i	0.120878	+	0.120878i
$672$	0.807754	−	3.01458i	0.0311598	−	0.116290i
$673$	−12.6098	+	3.37878i	−0.486071	+	0.130242i	−0.493528	−	0.869730i	$-0.664293\pi$
$673$	−12.6098	+	3.37878i	−0.486071	+	0.130242i	0.00745690	+	0.999972i	$0.497626\pi$
$674$	−6.84037	−	25.5286i	−0.263481	−	0.983326i
$675$	3.20729	−	3.83579i	0.123449	−	0.147640i
$676$	−6.39123	+	11.3204i	−0.245816	+	0.435401i
$677$	−30.3858	−	30.3858i	−1.16782	−	1.16782i	−0.982719	−	0.185101i	$-0.940739\pi$
$677$	−30.3858	−	30.3858i	−1.16782	−	1.16782i	−0.185101	−	0.982719i	$-0.559261\pi$
$678$	5.91643	+	3.41585i	0.227219	+	0.131185i
$679$	13.8303	+	7.98490i	0.530757	+	0.306432i
$680$	0.164836	−	0.105213i	0.00632116	−	0.00403473i
$681$	−12.0347	+	12.0347i	−0.461169	+	0.461169i
$682$	0.646819	+	1.12032i	0.0247680	+	0.0428994i
$683$	−11.6831	−	20.2358i	−0.447043	−	0.774302i	0.551149	−	0.834407i	$-0.314190\pi$
$683$	−11.6831	−	20.2358i	−0.447043	−	0.774302i	−0.998192	+	0.0601053i	$0.980856\pi$
$684$	−0.722087	+	0.722087i	−0.0276097	+	0.0276097i
$685$	−5.11258	+	23.1563i	−0.195342	+	0.884758i
$686$	11.5135	+	6.64732i	0.439587	+	0.253796i
$687$	14.4806	+	8.36038i	0.552469	+	0.318968i
$688$	−7.12397	−	7.12397i	−0.271599	−	0.271599i
$689$	8.20804	+	30.0529i	0.312701	+	1.14493i
$690$	−3.56429	+	3.89651i	−0.135690	+	0.148338i
$691$	10.4146	+	38.8677i	0.396189	+	1.47860i	0.819746	+	0.572727i	$0.194115\pi$
$691$	10.4146	+	38.8677i	0.396189	+	1.47860i	−0.423557	+	0.905869i	$0.639219\pi$
$692$	−0.317409	+	0.0850494i	−0.0120661	+	0.00323309i
$693$	−0.525674	+	1.96184i	−0.0199687	+	0.0745242i
$694$	14.0016	+	14.0016i	0.531492	+	0.531492i
$695$	7.92868	−	35.9113i	0.300752	−	1.36219i
$696$	2.38012	−	8.88272i	0.0902182	−	0.336699i
$697$			0.304454i			0.0115320i
$698$	0.300454	+	0.0805064i	0.0113724	+	0.00304721i
$699$	−0.808731	+	1.40076i	−0.0305890	+	0.0529817i
$700$	−6.57026	+	14.1540i	−0.248333	+	0.534971i
$701$			38.5740i			1.45692i	0.685087	+	0.728461i	$0.259764\pi$
$701$			38.5740i			1.45692i	−0.685087	+	0.728461i	$0.740236\pi$
$702$	−0.916397	+	3.48715i	−0.0345872	+	0.131614i
$703$	−5.48848	+	5.48848i	−0.207002	+	0.207002i
$704$	0.628610	−	0.168435i	0.0236916	−	0.00634815i
$705$	4.88818	−	9.41002i	0.184100	−	0.354402i
$706$	25.7121	−	14.8449i	0.967688	−	0.558695i
$707$	12.9643			0.487573
$708$	−11.4658	+	6.61978i	−0.430911	+	0.248787i
$709$	−21.1704	−	5.67258i	−0.795070	−	0.213038i	−0.161652	−	0.986848i	$-0.551682\pi$
$709$	−21.1704	−	5.67258i	−0.795070	−	0.213038i	−0.633418	+	0.773810i	$0.718349\pi$
$710$	−1.33958	−	30.0829i	−0.0502736	−	1.12899i
$711$	5.22163	+	9.04413i	0.195827	+	0.339182i
$712$	4.84513	+	18.0823i	0.181579	+	0.677662i
$713$	−2.34726	+	4.06557i	−0.0879056	+	0.152257i
$714$	0.272936			0.0102144
$715$	2.84421	+	4.40900i	0.106367	+	0.164887i
$716$	21.9150			0.819001
$717$	0.131673	−	0.228064i	0.00491742	−	0.00851721i
$718$	8.93314	+	33.3389i	0.333382	+	1.24420i
$719$	6.82948	+	11.8290i	0.254697	+	0.441147i	0.964813	−	0.262937i	$-0.0846911\pi$
$719$	6.82948	+	11.8290i	0.254697	+	0.441147i	−0.710116	+	0.704084i	$0.751358\pi$
$720$	−1.64991	−	1.50924i	−0.0614886	−	0.0562459i
$721$	37.9045	+	10.1565i	1.41164	+	0.378247i
$722$	15.5514	−	8.97859i	0.578762	−	0.334149i
$723$	−26.9906			−1.00379
$724$	5.29297	−	3.05590i	0.196712	−	0.113572i
$725$	−19.3599	+	41.7060i	−0.719007	+	1.54892i
$726$	10.2161	−	2.73739i	0.379155	−	0.101594i
$727$	25.9287	−	25.9287i	0.961642	−	0.961642i	−0.0376492	−	0.999291i	$-0.511987\pi$
$727$	25.9287	−	25.9287i	0.961642	−	0.961642i	0.999291	+	0.0376492i	$0.0119869\pi$
$728$	−0.0542094	−	11.2525i	−0.00200913	−	0.417046i
$729$			1.00000i			0.0370370i
$730$	1.65298	+	5.22678i	0.0611795	+	0.193452i
$731$	0.440539	−	0.763035i	0.0162939	−	0.0282219i
$732$	−6.57250	−	1.76110i	−0.242926	−	0.0650920i
$733$			47.7941i			1.76532i	0.470015	+	0.882658i	$0.344248\pi$
$733$			47.7941i			1.76532i	−0.470015	+	0.882658i	$0.655752\pi$
$734$	7.97094	−	29.7480i	0.294213	−	1.09802i
$735$	−5.16476	+	3.29661i	−0.190505	+	0.121597i
$736$	1.66994	+	1.66994i	0.0615548	+	0.0615548i
$737$	−1.82670	+	6.81734i	−0.0672874	+	0.251120i
$738$	3.36270	−	0.901032i	0.123783	−	0.0331674i
$739$	−8.68070	−	32.3968i	−0.319325	−	1.19174i	−0.919895	−	0.392164i	$-0.871727\pi$
$739$	−8.68070	−	32.3968i	−0.319325	−	1.19174i	0.600571	−	0.799572i	$-0.294940\pi$
$740$	−12.5407	−	11.4715i	−0.461007	−	0.421700i
$741$	−1.82559	+	3.19748i	−0.0670645	+	0.117462i
$742$	−19.0680	−	19.0680i	−0.700009	−	0.700009i
$743$	3.28918	+	1.89901i	0.120668	+	0.0696680i	0.559119	−	0.829087i	$-0.311139\pi$
$743$	3.28918	+	1.89901i	0.120668	+	0.0696680i	−0.438451	+	0.898755i	$0.644473\pi$
$744$	−1.72150	−	0.993907i	−0.0631132	−	0.0364384i
$745$	16.4167	+	25.7197i	0.601460	+	0.942298i
$746$	−1.28498	+	1.28498i	−0.0470464	+	0.0470464i
$747$	0.756731	+	1.31070i	0.0276873	+	0.0479559i
$748$	0.0284567	+	0.0492884i	0.00104048	+	0.00180216i
$749$	7.33539	−	7.33539i	0.268029	−	0.268029i
$750$	6.82921	+	8.85223i	0.249367	+	0.323238i
$751$	−10.6172	−	6.12985i	−0.387428	−	0.223681i	0.293617	−	0.955923i	$-0.405141\pi$
$751$	−10.6172	−	6.12985i	−0.387428	−	0.223681i	−0.681045	+	0.732242i	$0.738474\pi$
$752$	−4.10687	−	2.37110i	−0.149762	−	0.0864653i
$753$	1.48868	+	1.48868i	0.0542505	+	0.0542505i
$754$	−0.159733	−	33.1565i	−0.00581712	−	1.20749i
$755$	−35.7089	+	1.59010i	−1.29958	+	0.0578698i
$756$	−0.807754	−	3.01458i	−0.0293777	−	0.109639i
$757$	−0.823974	+	0.220783i	−0.0299478	+	0.00802450i	−0.273762	−	0.961798i	$-0.588268\pi$
$757$	−0.823974	+	0.220783i	−0.0299478	+	0.00802450i	0.243814	+	0.969822i	$0.421601\pi$
$758$	1.61037	−	6.00997i	0.0584912	−	0.218292i
$759$	−1.08677	−	1.08677i	−0.0394473	−	0.0394473i
$760$	−1.22856	−	1.92477i	−0.0445646	−	0.0698187i
$761$	3.67773	−	13.7255i	0.133318	−	0.497548i	−0.866682	−	0.498862i	$-0.833752\pi$
$761$	3.67773	−	13.7255i	0.133318	−	0.497548i	0.999999	+	0.00131382i	$0.000418203\pi$
$762$		−	5.99600i		−	0.217212i
$763$	−36.4051	−	9.75473i	−1.31795	−	0.353145i
$764$	−2.41078	+	4.17559i	−0.0872188	+	0.151067i
$765$	0.0901454	−	0.173535i	0.00325921	−	0.00627417i
$766$			1.06202i			0.0383724i
$767$	−33.5914	+	33.9166i	−1.21291	+	1.22466i
$768$	−0.707107	+	0.707107i	−0.0255155	+	0.0255155i
$769$	44.3182	−	11.8750i	1.59816	−	0.428225i	0.653671	−	0.756779i	$-0.273228\pi$
$769$	44.3182	−	11.8750i	1.59816	−	0.428225i	0.944485	+	0.328554i	$0.106561\pi$
$770$	−4.03023	−	2.09357i	−0.145239	−	0.0754469i
$771$	−9.97251	+	5.75763i	−0.359151	+	0.207356i
$772$	3.06338			0.110254
$773$	37.6049	−	21.7112i	1.35255	−	0.780897i	0.363947	−	0.931420i	$-0.381429\pi$
$773$	37.6049	−	21.7112i	1.35255	−	0.780897i	0.988607	+	0.150522i	$0.0480956\pi$
$774$	−9.73152	−	2.60755i	−0.349792	−	0.0937266i
$775$	7.62484	+	6.37550i	0.273892	+	0.229015i
$776$	−2.55851	−	4.43146i	−0.0918451	−	0.159080i
$777$	−6.13962	−	22.9134i	−0.220258	−	0.822013i
$778$	−16.4018	+	28.4087i	−0.588031	+	1.01850i
$779$	3.55507			0.127374
$780$	−7.17236	−	3.68202i	−0.256812	−	0.131838i
$781$	8.76400			0.313600
$782$	−0.103267	+	0.178864i	−0.00369283	+	0.00639617i
$783$	−2.38012	−	8.88272i	−0.0850585	−	0.317443i
$784$	1.37008	+	2.37305i	0.0489314	+	0.0847517i
$785$	7.14515	−	0.318171i	0.255021	−	0.0113560i
$786$	4.47852	+	1.20002i	0.159744	+	0.0428032i
$787$	−32.3118	+	18.6552i	−1.15179	+	0.664987i	−0.949323	−	0.314302i	$-0.898229\pi$
$787$	−32.3118	+	18.6552i	−1.15179	+	0.664987i	−0.202468	+	0.979289i	$0.564896\pi$
$788$	−2.06635			−0.0736108
$789$	−0.646976	+	0.373532i	−0.0230330	+	0.0132981i
$790$	−22.2650	+	7.04134i	−0.792152	+	0.250520i
$791$	−20.5947	+	5.51834i	−0.732264	+	0.196209i
$792$	0.460174	−	0.460174i	0.0163516	−	0.0163516i
$793$	−24.5331	+	0.118189i	−0.871198	+	0.00419702i
$794$			37.3962i			1.32714i
$795$	−18.4214	+	5.82582i	−0.653341	+	0.206620i
$796$	2.09521	−	3.62902i	0.0742629	−	0.128627i
$797$	31.8921	+	8.54546i	1.12968	+	0.302696i	0.774793	−	0.632215i	$-0.217854\pi$
$797$	31.8921	+	8.54546i	1.12968	+	0.302696i	0.354883	+	0.934911i	$0.384521\pi$
$798$		−	3.18704i		−	0.112820i
$799$	0.107338	−	0.400591i	0.00379735	−	0.0141719i
$800$	4.09078	−	2.87498i	0.144631	−	0.101646i
$801$	13.2371	+	13.2371i	0.467711	+	0.467711i
$802$	−0.234008	+	0.873330i	−0.00826311	+	0.0308384i
$803$	−1.54110	+	0.412935i	−0.0543841	+	0.0145722i
$804$	−2.80692	−	10.4756i	−0.0989924	−	0.369445i
$805$	−0.733166	−	16.4647i	−0.0258407	−	0.580304i
$806$	−6.93181	−	1.82163i	−0.244162	−	0.0641640i
$807$	11.1024	+	11.1024i	0.390822	+	0.390822i
$808$	−3.59747	−	2.07700i	−0.126558	−	0.0730686i
$809$	−23.7864	−	13.7331i	−0.836285	−	0.482829i	0.0197148	−	0.999806i	$-0.493724\pi$
$809$	−23.7864	−	13.7331i	−0.836285	−	0.482829i	−0.856000	+	0.516976i	$0.827058\pi$
$810$	−2.18348	−	0.482081i	−0.0767198	−	0.0169386i
$811$	−0.682382	+	0.682382i	−0.0239617	+	0.0239617i	−0.718986	−	0.695024i	$-0.755394\pi$
$811$	−0.682382	+	0.682382i	−0.0239617	+	0.0239617i	0.695024	+	0.718986i	$0.255394\pi$
$812$	14.3501	+	24.8551i	0.503590	+	0.872244i
$813$	4.25793	+	7.37496i	0.149332	+	0.258651i
$814$	3.49772	−	3.49772i	0.122595	−	0.122595i
$815$	34.5658	+	7.63162i	1.21079	+	0.267324i
$816$	−0.0757369	−	0.0437267i	−0.00265132	−	0.00153074i
$817$	−8.90988	−	5.14412i	−0.311717	−	0.179970i
$818$	18.7334	+	18.7334i	0.654999	+	0.654999i
$819$	−5.67320	−	9.71786i	−0.198238	−	0.339570i
$820$	0.346296	+	7.77676i	0.0120932	+	0.271576i
$821$	11.6606	+	43.5179i	0.406957	+	1.51878i	0.800418	+	0.599442i	$0.204611\pi$
$821$	11.6606	+	43.5179i	0.406957	+	1.51878i	−0.393461	+	0.919341i	$0.628722\pi$
$822$	10.2439	−	2.74484i	0.357296	−	0.0957371i
$823$	14.0251	−	52.3426i	0.488886	−	1.82455i	−0.0730000	−	0.997332i	$-0.523257\pi$
$823$	14.0251	−	52.3426i	0.488886	−	1.82455i	0.561886	−	0.827215i	$-0.310076\pi$
$824$	−8.89096	−	8.89096i	−0.309731	−	0.309731i
$825$	−2.66222	+	1.87099i	−0.0926865	+	0.0651396i
$826$	10.6943	−	39.9117i	0.372103	−	1.38871i
$827$			16.3486i			0.568495i	0.958751	+	0.284248i	$0.0917438\pi$
$827$			16.3486i			0.568495i	−0.958751	+	0.284248i	$0.908256\pi$
$828$	2.28118	+	0.611240i	0.0792765	+	0.0212421i
$829$	5.01544	−	8.68700i	0.174193	−	0.301712i	−0.765688	−	0.643212i	$-0.777602\pi$
$829$	5.01544	−	8.68700i	0.174193	−	0.301712i	0.939882	+	0.341500i	$0.110935\pi$
$830$	−3.22669	+	1.02045i	−0.112000	+	0.0354203i
$831$		−	3.95910i		−	0.137340i
$832$	−1.78771	+	3.13115i	−0.0619778	+	0.108553i
$833$	−0.169449	+	0.169449i	−0.00587104	+	0.00587104i
$834$	−15.8864	+	4.25674i	−0.550100	+	0.147399i
$835$	−38.2490	+	12.0963i	−1.32366	+	0.418611i
$836$	0.575536	−	0.332286i	0.0199053	−	0.0114923i
$837$	−1.98781			−0.0687089
$838$	9.10788	−	5.25844i	0.314626	−	0.181650i
$839$	35.1464	+	9.41745i	1.21339	+	0.325126i	0.808090	−	0.589058i	$-0.200501\pi$
$839$	35.1464	+	9.41745i	1.21339	+	0.325126i	0.405298	+	0.914185i	$0.367168\pi$
$840$	6.97169	−	0.310447i	0.240546	−	0.0107114i
$841$	27.7839	+	48.1231i	0.958065	+	1.65942i
$842$	−0.755170	−	2.81833i	−0.0260249	−	0.0971262i
$843$	−11.7885	+	20.4183i	−0.406017	+	0.703242i
$844$	−12.6902			−0.436813
$845$	−28.4443	−	5.99327i	−0.978515	−	0.206175i
$846$	−4.74221			−0.163041
$847$	−16.5042	+	28.5861i	−0.567091	+	0.982230i
$848$	2.23632	+	8.34606i	0.0767955	+	0.286605i
$849$	−15.4682	−	26.7917i	−0.530866	−	0.919488i
$850$	0.335453	+	0.280489i	0.0115059	+	0.00962069i
$851$	17.3389	+	4.64595i	0.594370	+	0.159261i
$852$	−11.6626	+	6.73341i	−0.399554	+	0.230683i
$853$	42.9923			1.47203			0.736014	−	0.676966i	$-0.236706\pi$
$853$	42.9923			1.47203			0.736014	+	0.676966i	$0.236706\pi$
$854$	18.3908	−	10.6179i	0.629320	−	0.363338i
$855$	−2.02635	−	1.05262i	−0.0692997	−	0.0359988i
$856$	−3.21069	+	0.860303i	−0.109739	+	0.0294045i
$857$	−5.82329	+	5.82329i	−0.198920	+	0.198920i	−0.799537	−	0.600617i	$-0.794922\pi$
$857$	−5.82329	+	5.82329i	−0.198920	+	0.198920i	0.600617	+	0.799537i	$0.294922\pi$
$858$	1.16342	−	2.03770i	0.0397184	−	0.0695660i
$859$			55.5796i			1.89635i	0.317745	+	0.948176i	$0.397074\pi$
$859$			55.5796i			1.89635i	−0.317745	+	0.948176i	$0.602926\pi$
$860$	10.3849	−	19.9916i	0.354123	−	0.681707i
$861$	−5.43246	+	9.40930i	−0.185138	+	0.320668i
$862$	−17.4038	−	4.66334i	−0.592777	−	0.158834i
$863$			19.0552i			0.648648i	0.945946	+	0.324324i	$0.105137\pi$
$863$			19.0552i			0.648648i	−0.945946	+	0.324324i	$0.894863\pi$
$864$	−0.258819	+	0.965926i	−0.00880520	+	0.0328615i
$865$	−0.395337	−	0.619369i	−0.0134419	−	0.0210592i
$866$	24.9556	+	24.9556i	0.848025	+	0.848025i
$867$	−4.39794	+	16.4134i	−0.149362	+	0.557427i
$868$	5.99242	−	1.60567i	0.203396	−	0.0544998i
$869$	−1.75902	−	6.56474i	−0.0596706	−	0.222694i
$870$	20.5427	−	0.914758i	0.696462	−	0.0310132i
$871$	−19.7142	−	33.7692i	−0.667990	−	1.14423i
$872$	8.53927	+	8.53927i	0.289176	+	0.289176i
$873$	−4.43146	−	2.55851i	−0.149982	−	0.0865923i
$874$	2.08858	+	1.20584i	0.0706472	+	0.0407882i
$875$	−34.6062	−	4.46445i	−1.16990	−	0.150926i
$876$	1.73354	−	1.73354i	0.0585708	−	0.0585708i
$877$	9.33343	+	16.1660i	0.315167	+	0.545886i	0.979473	−	0.201575i	$-0.0646060\pi$
$877$	9.33343	+	16.1660i	0.315167	+	0.545886i	−0.664306	+	0.747461i	$0.731273\pi$
$878$	2.75416	+	4.77035i	0.0929486	+	0.160992i
$879$	14.3835	−	14.3835i	0.485145	−	0.485145i
$880$	0.782942	+	1.22662i	0.0263930	+	0.0413495i
$881$	−46.5157	−	26.8559i	−1.56715	−	0.904797i	−0.996499	−	0.0836066i	$-0.973356\pi$
$881$	−46.5157	−	26.8559i	−1.56715	−	0.904797i	−0.570655	−	0.821190i	$-0.693311\pi$
$882$	2.37305	+	1.37008i	0.0799047	+	0.0461330i
$883$	35.7537	+	35.7537i	1.20321	+	1.20321i	0.973185	+	0.230022i	$0.0738798\pi$
$883$	35.7537	+	35.7537i	1.20321	+	1.20321i	0.230022	+	0.973185i	$0.426120\pi$
$884$	−0.304963	−	0.0801421i	−0.0102570	−	0.00269547i
$885$	−21.8441	−	19.9816i	−0.734282	−	0.671675i
$886$	−0.581110	−	2.16873i	−0.0195228	−	0.0728600i
$887$	22.6118	−	6.05881i	0.759229	−	0.203435i	0.141621	−	0.989921i	$-0.454769\pi$
$887$	22.6118	−	6.05881i	0.759229	−	0.203435i	0.617608	+	0.786486i	$0.288102\pi$
$888$	−1.96725	+	7.34186i	−0.0660165	+	0.246377i
$889$	13.2321	+	13.2321i	0.443792	+	0.443792i
$890$	−35.2844	+	22.5217i	−1.18274	+	0.754929i
$891$	0.168435	−	0.628610i	0.00564280	−	0.0210592i
$892$			14.3269i			0.479699i
$893$	−4.67766	−	1.25338i	−0.156532	−	0.0419426i
$894$	6.82280	−	11.8174i	0.228189	−	0.395234i
$895$	14.7761	+	46.7226i	0.493911	+	1.56176i
$896$		−	3.12092i		−	0.104263i
$897$	8.51495	−	0.0410211i	0.284306	−	0.00136965i
$898$	20.3981	−	20.3981i	0.680694	−	0.680694i
$899$	17.6572	−	4.73123i	0.588901	−	0.157795i
$900$	2.10523	−	4.53520i	0.0701743	−	0.151173i
$901$	−0.654403	+	0.377820i	−0.0218013	+	0.0125870i
$902$	−2.26559			−0.0754359
$903$	27.2302	−	15.7214i	0.906164	−	0.523174i
$904$	6.59892	+	1.76817i	0.219477	+	0.0588086i
$905$	10.0839	+	9.22414i	0.335201	+	0.306621i
$906$	7.99266	+	13.8437i	0.265538	+	0.459926i
$907$	−4.19075	−	15.6401i	−0.139152	−	0.519321i	−0.999946	−	0.0103686i	$-0.996700\pi$
$907$	−4.19075	−	15.6401i	−0.139152	−	0.519321i	0.860795	−	0.508953i	$-0.169967\pi$
$908$	−8.50979	+	14.7394i	−0.282407	+	0.489144i
$909$	−4.15400			−0.137779
$910$	23.9537	−	7.70255i	0.794058	−	0.255337i
$911$	38.0093			1.25930			0.629652	−	0.776878i	$-0.283198\pi$
$911$	38.0093			1.25930			0.629652	+	0.776878i	$0.283198\pi$
$912$	−0.510593	+	0.884372i	−0.0169074	+	0.0292845i
$913$	−0.254921	−	0.951377i	−0.00843664	−	0.0314860i
$914$	−20.0655	−	34.7545i	−0.663709	−	1.14958i
$915$	−0.676847	−	15.1999i	−0.0223759	−	0.502494i
$916$	16.1510	+	4.32765i	0.533644	+	0.142990i
$917$	−12.5316	+	7.23509i	−0.413828	+	0.238924i
$918$	−0.0874535			−0.00288640
$919$	19.0118	−	10.9764i	0.627140	−	0.362079i	−0.152504	−	0.988303i	$-0.548734\pi$
$919$	19.0118	−	10.9764i	0.627140	−	0.362079i	0.779644	+	0.626224i	$0.215400\pi$
$920$	−2.43434	+	4.68625i	−0.0802580	+	0.154501i
$921$	13.8033	−	3.69858i	0.454833	−	0.121872i
$922$	−11.9094	+	11.9094i	−0.392214	+	0.392214i
$923$	−34.1680	+	34.4988i	−1.12465	+	1.13554i
$924$			2.03105i			0.0668166i
$925$	16.0016	−	34.4714i	0.526128	−	1.13341i
$926$	−19.2972	+	33.4238i	−0.634146	+	1.09837i
$927$	−12.1453	−	3.25432i	−0.398903	−	0.106886i
$928$		−	9.19607i		−	0.301876i
$929$	0.995429	−	3.71499i	0.0326590	−	0.121885i	−0.947672	−	0.319246i	$-0.896570\pi$
$929$	0.995429	−	3.71499i	0.0326590	−	0.121885i	0.980331	+	0.197361i	$0.0632371\pi$
$930$	0.958287	−	4.34036i	0.0314235	−	0.142326i
$931$	1.97863	+	1.97863i	0.0648471	+	0.0648471i
$932$	−0.418630	+	1.56235i	−0.0137127	+	0.0511764i
$933$	23.8170	−	6.38174i	0.779733	−	0.208929i
$934$	5.57295	+	20.7985i	0.182353	+	0.680549i
$935$	−0.0858957	+	0.0939021i	−0.00280909	+	0.00307093i
$936$	0.0173697	+	3.60551i	0.000567745	+	0.117850i
$937$	−10.4193	−	10.4193i	−0.340384	−	0.340384i	0.516128	−	0.856512i	$-0.327373\pi$
$937$	−10.4193	−	10.4193i	−0.340384	−	0.340384i	−0.856512	+	0.516128i	$0.827373\pi$
$938$	29.3121	+	16.9234i	0.957075	+	0.552567i
$939$	−4.54805	−	2.62582i	−0.148420	−	0.0856903i
$940$	2.28613	−	10.3545i	0.0745653	−	0.337728i
$941$	16.9717	−	16.9717i	0.553261	−	0.553261i	−0.374120	−	0.927380i	$-0.622055\pi$
$941$	16.9717	−	16.9717i	0.553261	−	0.553261i	0.927380	+	0.374120i	$0.122055\pi$
$942$	−1.59929	−	2.77005i	−0.0521076	−	0.0902530i
$943$	−4.11083	−	7.12016i	−0.133867	−	0.231864i
$944$	−9.36178	+	9.36178i	−0.304700	+	0.304700i
$945$	5.88243	−	3.75470i	0.191356	−	0.122140i
$946$	5.67812	+	3.27827i	0.184612	+	0.106586i
$947$	−9.43813	−	5.44911i	−0.306698	−	0.177072i	0.338750	−	0.940876i	$-0.389996\pi$
$947$	−9.43813	−	5.44911i	−0.306698	−	0.177072i	−0.645448	+	0.763804i	$0.723329\pi$
$948$	7.38450	+	7.38450i	0.239838	+	0.239838i
$949$	4.38274	−	7.67630i	0.142270	−	0.249183i
$950$	3.27524	−	3.91705i	0.106263	−	0.127086i
$951$	2.65066	+	9.89239i	0.0859534	+	0.320783i
$952$	0.263636	−	0.0706409i	0.00854448	−	0.00228949i
$953$	11.9355	−	44.5437i	0.386627	−	1.44291i	−0.448958	−	0.893553i	$-0.648205\pi$
$953$	11.9355	−	44.5437i	0.386627	−	1.44291i	0.835586	−	0.549360i	$-0.185129\pi$
$954$	6.10974	+	6.10974i	0.197810	+	0.197810i
$955$	−10.5278	−	2.32438i	−0.340671	−	0.0752151i
$956$	0.0681589	−	0.254373i	0.00220442	−	0.00822700i
$957$			5.98466i			0.193457i
$958$	−14.8789	−	3.98679i	−0.480716	−	0.128807i
$959$	−16.5491	+	28.6638i	−0.534397	+	0.925602i
$960$	−1.98431	−	1.03078i	−0.0640434	−	0.0332683i
$961$			27.0486i			0.872535i
$962$	0.132024	+	27.4050i	0.00425663	+	0.883571i
$963$	−2.35039	+	2.35039i	−0.0757403	+	0.0757403i
$964$	−26.0709	+	6.98567i	−0.839686	+	0.224993i
$965$	2.06548	+	6.53111i	0.0664901	+	0.210244i
$966$	−6.38306	+	3.68526i	−0.205372	+	0.118571i
$967$	−26.6512			−0.857045			−0.428523	−	0.903531i	$-0.640966\pi$
$967$	−26.6512			−0.857045			−0.428523	+	0.903531i	$0.640966\pi$
$968$	9.15950	−	5.28824i	0.294397	−	0.169970i
$969$	−0.0862632	−	0.0231141i	−0.00277117	−	0.000742533i
$970$	7.72278	−	8.44262i	0.247964	−	0.271076i
$971$	−9.75446	−	16.8952i	−0.313036	−	0.542194i	0.665982	−	0.745967i	$-0.268013\pi$
$971$	−9.75446	−	16.8952i	−0.313036	−	0.542194i	−0.979018	+	0.203774i	$0.934679\pi$
$972$	0.258819	+	0.965926i	0.00830162	+	0.0309821i
$973$	25.6646	−	44.4524i	0.822769	−	1.42508i
$974$	−18.8536			−0.604107
$975$	3.01411	−	17.7740i	0.0965286	−	0.569224i
$976$	−6.80435			−0.217802
$977$	−1.63443	+	2.83092i	−0.0522902	+	0.0905692i	−0.890986	−	0.454031i	$-0.849985\pi$
$977$	−1.63443	+	2.83092i	−0.0522902	+	0.0905692i	0.838696	+	0.544601i	$0.183319\pi$
$978$	−4.09726	−	15.2912i	−0.131016	−	0.488958i
$979$	−6.09139	−	10.5506i	−0.194682	−	0.337199i
$980$	−4.13555	+	4.52102i	−0.132105	+	0.144419i
$981$	11.6649	+	3.12559i	0.372430	+	0.0997924i
$982$	−4.22759	+	2.44080i	−0.134908	+	0.0778891i
$983$	−25.7470			−0.821200			−0.410600	−	0.911816i	$-0.634681\pi$
$983$	−25.7470			−0.821200			−0.410600	+	0.911816i	$0.634681\pi$
$984$	3.01491	−	1.74066i	0.0961118	−	0.0554902i
$985$	−1.39323	−	4.40545i	−0.0443921	−	0.140369i
$986$	0.776825	−	0.208150i	0.0247392	−	0.00662884i
$987$	10.4652	−	10.4652i	0.333112	−	0.333112i
$988$	−0.935811	+	3.56103i	−0.0297721	+	0.113291i
$989$			23.7932i			0.756579i
$990$	1.29136	+	0.670817i	0.0410421	+	0.0213200i
$991$	9.43090	−	16.3348i	0.299582	−	0.518892i	−0.676458	−	0.736481i	$-0.736486\pi$
$991$	9.43090	−	16.3348i	0.299582	−	0.518892i	0.976040	+	0.217589i	$0.0698193\pi$
$992$	−1.92008	−	0.514484i	−0.0609626	−	0.0163349i
$993$			23.1443i			0.734463i
$994$	10.8779	−	40.5968i	0.345025	−	1.28765i
$995$	9.14973	+	2.02012i	0.290066	+	0.0640423i
$996$	1.07018	+	1.07018i	0.0339099	+	0.0339099i
$997$	2.75805	−	10.2932i	0.0873484	−	0.325989i	−0.908400	−	0.418102i	$-0.862696\pi$
$997$	2.75805	−	10.2932i	0.0873484	−	0.325989i	0.995749	+	0.0921133i	$0.0293622\pi$
$998$	−8.36641	+	2.24177i	−0.264834	+	0.0709621i
$999$	1.96725	+	7.34186i	0.0622409	+	0.232286i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	390.2.bn.b.97.2	yes	16
5.3	odd	4		390.2.bd.b.253.4	yes	16
13.11	odd	12		390.2.bd.b.37.4	✓	16
65.63	even	12	inner	390.2.bn.b.193.2	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.b.37.4	✓	16	13.11	odd	12
390.2.bd.b.253.4	yes	16	5.3	odd	4
390.2.bn.b.97.2	yes	16	1.1	even	1	trivial
390.2.bn.b.193.2	yes	16	65.63	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	390.bn (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50924 - 1.64991i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(2.70280 - 1.56046i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50924 - 1.64991i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(2.70280 - 1.56046i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(-0.674247 - 2.13199i) q^{10} +(0.628610 - 0.168435i) q^{11} +(-0.707107 + 0.707107i) q^{12} +(-1.78771 + 3.13115i) q^{13} -3.12092i q^{14} +(-1.98431 - 1.03078i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.0844736 - 0.0226346i) q^{17} +1.00000i q^{18} +(-0.264302 + 0.986389i) q^{19} +(-2.18348 - 0.482081i) q^{20} +(-2.20683 - 2.20683i) q^{21} +(0.168435 - 0.628610i) q^{22} +(2.28118 - 0.611240i) q^{23} +(0.258819 + 0.965926i) q^{24} +(-0.444415 - 4.98021i) q^{25} +(1.81780 + 3.11378i) q^{26} +(0.707107 + 0.707107i) q^{27} +(-2.70280 - 1.56046i) q^{28} +(-7.96403 - 4.59804i) q^{29} +(-1.88484 + 1.20307i) q^{30} +(-1.40560 + 1.40560i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.325392 - 0.563596i) q^{33} +(-0.0618390 + 0.0618390i) q^{34} +(1.50454 - 6.81448i) q^{35} +(0.866025 + 0.500000i) q^{36} +(6.58253 + 3.80043i) q^{37} +(0.722087 + 0.722087i) q^{38} +(3.48715 + 0.916397i) q^{39} +(-1.50924 + 1.64991i) q^{40} +(-0.901032 - 3.36270i) q^{41} +(-3.01458 + 0.807754i) q^{42} +(-2.60755 + 9.73152i) q^{43} +(-0.460174 - 0.460174i) q^{44} +(-0.482081 + 2.18348i) q^{45} +(0.611240 - 2.28118i) q^{46} +4.74221i q^{47} +(0.965926 + 0.258819i) q^{48} +(1.37008 - 2.37305i) q^{49} +(-4.53520 - 2.10523i) q^{50} +0.0874535i q^{51} +(3.60551 - 0.0173697i) q^{52} +(6.10974 - 6.10974i) q^{53} +(0.965926 - 0.258819i) q^{54} +(0.670817 - 1.29136i) q^{55} +(-2.70280 + 1.56046i) q^{56} +1.02119 q^{57} +(-7.96403 + 4.59804i) q^{58} +(12.7884 + 3.42665i) q^{59} +(0.0994727 + 2.23385i) q^{60} +(3.40217 + 5.89274i) q^{61} +(0.514484 + 1.92008i) q^{62} +(-1.56046 + 2.70280i) q^{63} +1.00000 q^{64} +(2.46804 + 7.67521i) q^{65} -0.650785 q^{66} +(-5.42255 + 9.39213i) q^{67} +(0.0226346 + 0.0844736i) q^{68} +(-1.18083 - 2.04525i) q^{69} +(-5.14925 - 4.71021i) q^{70} +(13.0079 + 3.48547i) q^{71} +(0.866025 - 0.500000i) q^{72} -2.45159 q^{73} +(6.58253 - 3.80043i) q^{74} +(-4.69549 + 1.71825i) q^{75} +(0.986389 - 0.264302i) q^{76} +(1.43617 - 1.43617i) q^{77} +(2.53720 - 2.56176i) q^{78} -10.4433i q^{79} +(0.674247 + 2.13199i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-3.36270 - 0.901032i) q^{82} -1.51346i q^{83} +(-0.807754 + 3.01458i) q^{84} +(-0.164836 + 0.105213i) q^{85} +(7.12397 + 7.12397i) q^{86} +(-2.38012 + 8.88272i) q^{87} +(-0.628610 + 0.168435i) q^{88} +(-4.84513 - 18.0823i) q^{89} +(1.64991 + 1.50924i) q^{90} +(0.0542094 + 11.2525i) q^{91} +(-1.66994 - 1.66994i) q^{92} +(1.72150 + 0.993907i) q^{93} +(4.10687 + 2.37110i) q^{94} +(1.22856 + 1.92477i) q^{95} +(0.707107 - 0.707107i) q^{96} +(2.55851 + 4.43146i) q^{97} +(-1.37008 - 2.37305i) q^{98} +(-0.460174 + 0.460174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8}+O(q^{10}) \) 16 * q + 8 * q^2 - 8 * q^4 + 24 * q^7 - 16 * q^8	\( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8} + 12 q^{11} + 8 q^{13} - 8 q^{15} - 8 q^{16} - 4 q^{17} - 4 q^{19} + 4 q^{23} + 4 q^{25} + 4 q^{26} - 24 q^{28} - 48 q^{29} - 4 q^{30} + 16 q^{31} + 8 q^{32} + 16 q^{33} - 20 q^{34} - 12 q^{35} + 12 q^{37} + 4 q^{38} + 4 q^{39} - 12 q^{41} + 20 q^{43} - 12 q^{44} + 8 q^{45} - 4 q^{46} - 4 q^{49} - 16 q^{50} - 4 q^{52} + 32 q^{53} + 16 q^{55} - 24 q^{56} - 8 q^{57} - 48 q^{58} + 4 q^{59} + 4 q^{60} + 4 q^{61} - 4 q^{62} + 4 q^{63} + 16 q^{64} - 8 q^{65} + 32 q^{66} - 28 q^{67} - 16 q^{68} + 4 q^{69} - 36 q^{71} + 32 q^{73} + 12 q^{74} - 24 q^{75} + 8 q^{76} + 4 q^{77} + 20 q^{78} + 8 q^{81} - 24 q^{82} + 52 q^{85} + 16 q^{86} + 36 q^{87} - 12 q^{88} - 24 q^{89} + 4 q^{90} - 8 q^{92} + 36 q^{94} - 40 q^{95} - 4 q^{97} + 4 q^{98} - 12 q^{99}+O(q^{100}) \) 16 * q + 8 * q^2 - 8 * q^4 + 24 * q^7 - 16 * q^8 + 12 * q^11 + 8 * q^13 - 8 * q^15 - 8 * q^16 - 4 * q^17 - 4 * q^19 + 4 * q^23 + 4 * q^25 + 4 * q^26 - 24 * q^28 - 48 * q^29 - 4 * q^30 + 16 * q^31 + 8 * q^32 + 16 * q^33 - 20 * q^34 - 12 * q^35 + 12 * q^37 + 4 * q^38 + 4 * q^39 - 12 * q^41 + 20 * q^43 - 12 * q^44 + 8 * q^45 - 4 * q^46 - 4 * q^49 - 16 * q^50 - 4 * q^52 + 32 * q^53 + 16 * q^55 - 24 * q^56 - 8 * q^57 - 48 * q^58 + 4 * q^59 + 4 * q^60 + 4 * q^61 - 4 * q^62 + 4 * q^63 + 16 * q^64 - 8 * q^65 + 32 * q^66 - 28 * q^67 - 16 * q^68 + 4 * q^69 - 36 * q^71 + 32 * q^73 + 12 * q^74 - 24 * q^75 + 8 * q^76 + 4 * q^77 + 20 * q^78 + 8 * q^81 - 24 * q^82 + 52 * q^85 + 16 * q^86 + 36 * q^87 - 12 * q^88 - 24 * q^89 + 4 * q^90 - 8 * q^92 + 36 * q^94 - 40 * q^95 - 4 * q^97 + 4 * q^98 - 12 * q^99

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