LMFDB - Embedded newform 390.2.bd.b.253.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [390,2,Mod(7,390)]

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, 11]))

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

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

chi := DirichletCharacter("390.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 390 = 2 \cdot 3 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	390.bd (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			253.4
Root			$0.339278 - 0.0446668i$ of defining polynomial
Character	$\chi$	$=$	390.253
Dual form			390.2.bd.b.37.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 - 0.500000i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.64991 - 1.50924i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-1.56046 - 2.70280i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})$	\(q+(-0.866025 - 0.500000i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.64991 - 1.50924i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-1.56046 - 2.70280i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +(-2.18348 + 0.482081i) q^{10} +(0.628610 - 0.168435i) q^{11} +(0.707107 + 0.707107i) q^{12} +(-3.13115 - 1.78771i) q^{13} +3.12092i q^{14} +(1.20307 - 1.88484i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.0226346 + 0.0844736i) q^{17} -1.00000 q^{18} +(0.264302 - 0.986389i) q^{19} +(2.13199 + 0.674247i) q^{20} +(-2.20683 - 2.20683i) q^{21} +(-0.628610 - 0.168435i) q^{22} +(0.611240 + 2.28118i) 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} +(1.56046 - 2.70280i) q^{28} +(7.96403 + 4.59804i) q^{29} +(-1.98431 + 1.03078i) q^{30} +(-1.40560 + 1.40560i) q^{31} +(0.866025 - 0.500000i) q^{32} +(0.563596 - 0.325392i) q^{33} +(0.0618390 - 0.0618390i) q^{34} +(-6.65378 - 2.10427i) q^{35} +(0.866025 + 0.500000i) q^{36} +(3.80043 - 6.58253i) 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} +(0.807754 + 3.01458i) q^{42} +(-9.73152 - 2.60755i) q^{43} +(0.460174 + 0.460174i) q^{44} +(0.674247 - 2.13199i) q^{45} +(0.611240 - 2.28118i) q^{46} +4.74221 q^{47} +(-0.258819 + 0.965926i) q^{48} +(-1.37008 + 2.37305i) q^{49} +(-2.87498 + 4.09078i) q^{50} +0.0874535i q^{51} +(-0.0173697 - 3.60551i) q^{52} +(6.10974 + 6.10974i) q^{53} +(-0.965926 + 0.258819i) q^{54} +(0.782942 - 1.22662i) q^{55} +(-2.70280 + 1.56046i) q^{56} -1.02119i q^{57} +(-4.59804 - 7.96403i) q^{58} +(-12.7884 - 3.42665i) q^{59} +(2.23385 + 0.0994727i) q^{60} +(3.40217 + 5.89274i) q^{61} +(1.92008 - 0.514484i) q^{62} +(-2.70280 - 1.56046i) q^{63} -1.00000 q^{64} +(-7.86420 + 1.77607i) q^{65} -0.650785 q^{66} +(9.39213 + 5.42255i) q^{67} +(-0.0844736 + 0.0226346i) q^{68} +(1.18083 + 2.04525i) q^{69} +(4.71021 + 5.14925i) q^{70} +(13.0079 + 3.48547i) q^{71} +(-0.500000 - 0.866025i) q^{72} -2.45159i q^{73} +(-6.58253 + 3.80043i) q^{74} +(-0.859701 - 4.92554i) q^{75} +(0.986389 - 0.264302i) q^{76} +(-1.43617 - 1.43617i) q^{77} +(2.56176 + 2.53720i) q^{78} +10.4433i q^{79} +(0.482081 + 2.18348i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-0.901032 + 3.36270i) q^{82} +1.51346 q^{83} +(0.807754 - 3.01458i) q^{84} +(0.0901454 + 0.173535i) q^{85} +(7.12397 + 7.12397i) q^{86} +(8.88272 + 2.38012i) q^{87} +(-0.168435 - 0.628610i) 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} +(-0.993907 + 1.72150i) q^{93} +(-4.10687 - 2.37110i) q^{94} +(-1.05262 - 2.02635i) q^{95} +(0.707107 - 0.707107i) q^{96} +(4.43146 - 2.55851i) q^{97} +(2.37305 - 1.37008i) q^{98} +(0.460174 - 0.460174i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) $ 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7	$ 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) $ 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7 + 12 * q^11 - 8 * q^13 + 12 * q^15 - 8 * q^16 + 16 * q^17 - 16 * q^18 + 4 * q^19 - 4 * q^20 - 12 * q^22 - 4 * q^23 - 4 * q^25 + 4 * q^26 - 4 * q^28 + 48 * q^29 - 8 * q^30 + 16 * q^31 + 20 * q^34 + 12 * q^35 + 20 * q^37 - 4 * q^38 - 4 * q^39 - 12 * q^41 + 4 * q^43 + 12 * q^44 - 4 * q^46 - 64 * q^47 + 4 * q^49 + 16 * q^50 - 16 * q^52 + 32 * q^53 - 44 * q^55 - 24 * q^56 - 12 * q^58 - 4 * q^59 + 12 * q^60 + 4 * q^61 - 20 * q^62 - 24 * q^63 - 16 * q^64 - 8 * q^65 + 32 * q^66 - 36 * q^67 - 4 * q^68 - 4 * q^69 - 36 * q^71 - 8 * q^72 - 12 * q^74 + 8 * q^76 - 4 * q^77 - 12 * q^78 - 8 * q^80 + 8 * q^81 - 12 * q^82 + 24 * q^83 - 52 * q^85 + 16 * q^86 - 12 * q^87 + 24 * q^89 - 4 * q^90 - 8 * q^92 - 36 * q^94 - 44 * q^95 + 60 * q^97 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{12}\right)$

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 $

$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$3$	0.965926	−	0.258819i	0.557678	−	0.149429i
$3$	0.965926	−	0.258819i	0.557678	−	0.149429i
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	1.64991	−	1.50924i	0.737863	−	0.674951i
$5$	1.64991	−	1.50924i	0.737863	−	0.674951i
$6$	−0.965926	−	0.258819i	−0.394338	−	0.105662i
$7$	−1.56046	−	2.70280i	−0.589799	−	1.02156i	−0.994258	−	0.107006i	$-0.965874\pi$
$7$	−1.56046	−	2.70280i	−0.589799	−	1.02156i	0.404459	−	0.914556i	$-0.367460\pi$
$8$		−	1.00000i		−	0.353553i
$9$	0.866025	−	0.500000i	0.288675	−	0.166667i
$10$	−2.18348	+	0.482081i	−0.690478	+	0.152447i
$11$	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
$13$	−3.13115	−	1.78771i	−0.868424	−	0.495822i
$13$	−3.13115	−	1.78771i	−0.868424	−	0.495822i
$14$			3.12092i			0.834102i
$15$	1.20307	−	1.88484i	0.310632	−	0.486663i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−0.0226346	+	0.0844736i	−0.00548970	+	0.0204879i	−0.968616	−	0.248561i	$-0.920042\pi$
$17$	−0.0226346	+	0.0844736i	−0.00548970	+	0.0204879i	0.963127	+	0.269048i	$0.0867092\pi$
$18$	−1.00000			−0.235702
$19$	0.264302	−	0.986389i	0.0606351	−	0.226293i	−0.928959	−	0.370184i	$-0.879295\pi$
$19$	0.264302	−	0.986389i	0.0606351	−	0.226293i	0.989594	+	0.143891i	$0.0459614\pi$
$20$	2.13199	+	0.674247i	0.476728	+	0.150766i
$21$	−2.20683	−	2.20683i	−0.481569	−	0.481569i
$22$	−0.628610	−	0.168435i	−0.134020	−	0.0359106i
$23$	0.611240	+	2.28118i	0.127452	+	0.475659i	0.999915	−	0.0130217i	$-0.00414507\pi$
$23$	0.611240	+	2.28118i	0.127452	+	0.475659i	−0.872463	+	0.488680i	$0.837478\pi$
$24$	−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
$28$	1.56046	−	2.70280i	0.294899	−	0.510781i
$29$	7.96403	+	4.59804i	1.47888	+	0.853834i	0.999715	−	0.0238887i	$-0.00760474\pi$
$29$	7.96403	+	4.59804i	1.47888	+	0.853834i	0.479169	+	0.877723i	$0.340938\pi$
$30$	−1.98431	+	1.03078i	−0.362284	+	0.188194i
$31$	−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	$0.307128\pi$
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$	0.563596	−	0.325392i	0.0981095	−	0.0566435i
$34$	0.0618390	−	0.0618390i	0.0106053	−	0.0106053i
$35$	−6.65378	−	2.10427i	−1.12469	−	0.355687i
$36$	0.866025	+	0.500000i	0.144338	+	0.0833333i
$37$	3.80043	−	6.58253i	0.624786	−	1.08216i	−0.363796	−	0.931479i	$-0.618519\pi$
$37$	3.80043	−	6.58253i	0.624786	−	1.08216i	0.988582	−	0.150683i	$-0.0481473\pi$
$38$	−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	$-0.170967\pi$
$42$	0.807754	+	3.01458i	0.124639	+	0.465160i
$43$	−9.73152	−	2.60755i	−1.48404	−	0.397648i	−0.576322	−	0.817223i	$-0.695513\pi$
$43$	−9.73152	−	2.60755i	−1.48404	−	0.397648i	−0.907721	+	0.419575i	$0.862179\pi$
$44$	0.460174	+	0.460174i	0.0693739	+	0.0693739i
$45$	0.674247	−	2.13199i	0.100511	−	0.317819i
$46$	0.611240	−	2.28118i	0.0901224	−	0.336341i
$47$	4.74221			0.691722			0.345861	−	0.938286i	$-0.387587\pi$
$47$	4.74221			0.691722			0.345861	+	0.938286i	$0.387587\pi$
$48$	−0.258819	+	0.965926i	−0.0373573	+	0.139419i
$49$	−1.37008	+	2.37305i	−0.195726	+	0.339007i
$50$	−2.87498	+	4.09078i	−0.406584	+	0.578524i
$51$			0.0874535i			0.0122459i
$52$	−0.0173697	−	3.60551i	−0.00240874	−	0.499994i
$53$	6.10974	+	6.10974i	0.839237	+	0.839237i	0.988758	−	0.149521i	$-0.0477733\pi$
$53$	6.10974	+	6.10974i	0.839237	+	0.839237i	−0.149521	+	0.988758i	$0.547773\pi$
$54$	−0.965926	+	0.258819i	−0.131446	+	0.0352208i
$55$	0.782942	−	1.22662i	0.105572	−	0.165398i
$56$	−2.70280	+	1.56046i	−0.361177	+	0.208525i
$57$		−	1.02119i		−	0.135259i
$58$	−4.59804	−	7.96403i	−0.603752	−	1.04573i
$59$	−12.7884	−	3.42665i	−1.66491	−	0.446112i	−0.701181	−	0.712984i	$-0.747343\pi$
$59$	−12.7884	−	3.42665i	−1.66491	−	0.446112i	−0.963732	+	0.266872i	$0.914010\pi$
$60$	2.23385	+	0.0994727i	0.288389	+	0.0128419i
$61$	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	$0.689868\pi$
$62$	1.92008	−	0.514484i	0.243851	−	0.0653395i
$63$	−2.70280	−	1.56046i	−0.340521	−	0.196600i
$64$	−1.00000			−0.125000
$65$	−7.86420	+	1.77607i	−0.975433	+	0.220295i
$66$	−0.650785			−0.0801061
$67$	9.39213	+	5.42255i	1.14743	+	0.662470i	0.948260	−	0.317495i	$-0.102842\pi$
$67$	9.39213	+	5.42255i	1.14743	+	0.662470i	0.199172	+	0.979965i	$0.436175\pi$
$68$	−0.0844736	+	0.0226346i	−0.0102439	+	0.00274485i
$69$	1.18083	+	2.04525i	0.142155	+	0.246219i
$70$	4.71021	+	5.14925i	0.562978	+	0.615453i
$71$	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	$0.288639\pi$
$72$	−0.500000	−	0.866025i	−0.0589256	−	0.102062i
$73$		−	2.45159i		−	0.286937i	−0.989655	−	0.143469i	$-0.954174\pi$
$73$		−	2.45159i		−	0.286937i	0.989655	−	0.143469i	$-0.0458256\pi$
$74$	−6.58253	+	3.80043i	−0.765204	+	0.441791i
$75$	−0.859701	−	4.92554i	−0.0992697	−	0.568752i
$76$	0.986389	−	0.264302i	0.113147	−	0.0303175i
$77$	−1.43617	−	1.43617i	−0.163667	−	0.163667i
$78$	2.56176	+	2.53720i	0.290062	+	0.287281i
$79$			10.4433i			1.17496i	0.809239	+	0.587480i	$0.199880\pi$
$79$			10.4433i			1.17496i	−0.809239	+	0.587480i	$0.800120\pi$
$80$	0.482081	+	2.18348i	0.0538983	+	0.244121i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	−0.901032	+	3.36270i	−0.0995023	+	0.371348i
$83$	1.51346			0.166124			0.0830620	−	0.996544i	$-0.473530\pi$
$83$	1.51346			0.166124			0.0830620	+	0.996544i	$0.473530\pi$
$84$	0.807754	−	3.01458i	0.0881332	−	0.328918i
$85$	0.0901454	+	0.173535i	0.00977764	+	0.0188225i
$86$	7.12397	+	7.12397i	0.768197	+	0.768197i
$87$	8.88272	+	2.38012i	0.952328	+	0.255176i
$88$	−0.168435	−	0.628610i	−0.0179553	−	0.0670100i
$89$	4.84513	+	18.0823i	0.513583	+	1.91672i	0.377466	+	0.926023i	$0.376795\pi$
$89$	4.84513	+	18.0823i	0.513583	+	1.91672i	0.136116	+	0.990693i	$0.456538\pi$
$90$	−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
$93$	−0.993907	+	1.72150i	−0.103063	+	0.178511i
$94$	−4.10687	−	2.37110i	−0.423592	−	0.244561i
$95$	−1.05262	−	2.02635i	−0.107996	−	0.207899i
$96$	0.707107	−	0.707107i	0.0721688	−	0.0721688i
$97$	4.43146	−	2.55851i	0.449947	−	0.259777i	−0.257861	−	0.966182i	$-0.583018\pi$
$97$	4.43146	−	2.55851i	0.449947	−	0.259777i	0.707808	+	0.706405i	$0.249684\pi$
$98$	2.37305	−	1.37008i	0.239714	−	0.138399i
$99$	0.460174	−	0.460174i	0.0462493	−	0.0462493i
$100$	4.53520	−	2.10523i	0.453520	−	0.210523i
$101$	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	$0.600404\pi$
$102$	0.0437267	−	0.0757369i	0.00432959	−	0.00749908i
$103$	−8.89096	+	8.89096i	−0.876052	+	0.876052i	−0.993124	−	0.117071i	$-0.962649\pi$
$103$	−8.89096	+	8.89096i	−0.876052	+	0.876052i	0.117071	+	0.993124i	$0.462649\pi$
$104$	−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
$107$	−0.860303	−	3.21069i	−0.0831686	−	0.310389i	0.911792	−	0.410651i	$-0.134699\pi$
$107$	−0.860303	−	3.21069i	−0.0831686	−	0.310389i	−0.994961	+	0.100262i	$0.968032\pi$
$108$	0.965926	+	0.258819i	0.0929463	+	0.0249049i
$109$	8.53927	+	8.53927i	0.817914	+	0.817914i	0.985805	−	0.167891i	$-0.0536958\pi$
$109$	8.53927	+	8.53927i	0.817914	+	0.817914i	−0.167891	+	0.985805i	$0.553696\pi$
$110$	−1.29136	+	0.670817i	−0.123126	+	0.0639599i
$111$	1.96725	−	7.34186i	0.186723	−	0.696859i
$112$	3.12092			0.294899
$113$	1.76817	−	6.59892i	0.166336	−	0.620774i	−0.831530	−	0.555480i	$-0.812535\pi$
$113$	1.76817	−	6.59892i	0.166336	−	0.620774i	0.997866	−	0.0652944i	$-0.0207986\pi$
$114$	−0.510593	+	0.884372i	−0.0478214	+	0.0828291i
$115$	4.45133	+	2.84124i	0.415089	+	0.264947i
$116$			9.19607i			0.853834i
$117$	−3.60551	+	0.0173697i	−0.333329	+	0.00160583i
$118$	9.36178	+	9.36178i	0.861822	+	0.861822i
$119$	0.263636	−	0.0706409i	0.0241674	−	0.00647564i
$120$	−1.88484	−	1.20307i	−0.172061	−	0.109825i
$121$	−9.15950	+	5.28824i	−0.832682	+	0.480749i
$122$		−	6.80435i		−	0.616037i
$123$	−1.74066	−	3.01491i	−0.156950	−	0.271845i
$124$	−1.92008	−	0.514484i	−0.172428	−	0.0462020i
$125$	−6.78307	−	8.88763i	−0.606696	−	0.794934i
$126$	1.56046	+	2.70280i	0.139017	+	0.240784i
$127$	5.79169	−	1.55188i	0.513930	−	0.137707i	0.00747241	−	0.999972i	$-0.497621\pi$
$127$	5.79169	−	1.55188i	0.513930	−	0.137707i	0.506457	+	0.862265i	$0.330955\pi$
$128$	0.866025	+	0.500000i	0.0765466	+	0.0441942i
$129$	−10.0748			−0.887038
$130$	7.69863	+	2.39397i	0.675214	+	0.209965i
$131$	−4.63651			−0.405094			−0.202547	−	0.979273i	$-0.564922\pi$
$131$	−4.63651			−0.405094			−0.202547	+	0.979273i	$0.564922\pi$
$132$	0.563596	+	0.325392i	0.0490547	+	0.0283218i
$133$	−3.07844	+	0.824867i	−0.266935	+	0.0715250i
$134$	−5.42255	−	9.39213i	−0.468437	−	0.811357i
$135$	0.0994727	−	2.23385i	0.00856125	−	0.192260i
$136$	0.0844736	+	0.0226346i	0.00724355	+	0.00194090i
$137$	5.30261	+	9.18440i	0.453033	+	0.784676i	0.998573	−	0.0534088i	$-0.0170086\pi$
$137$	5.30261	+	9.18440i	0.453033	+	0.784676i	−0.545540	+	0.838085i	$0.683675\pi$
$138$		−	2.36165i		−	0.201037i
$139$	−14.2433	+	8.22339i	−1.20810	+	0.697499i	−0.962345	−	0.271832i	$-0.912371\pi$
$139$	−14.2433	+	8.22339i	−1.20810	+	0.697499i	−0.245759	+	0.969331i	$0.579037\pi$
$140$	−1.50454	−	6.81448i	−0.127157	−	0.575929i
$141$	4.58062	−	1.22737i	0.385758	−	0.103364i
$142$	−9.52248	−	9.52248i	−0.799108	−	0.799108i
$143$	−2.26938	−	0.596377i	−0.189775	−	0.0498715i
$144$			1.00000i			0.0833333i
$145$	20.0795	−	4.43325i	1.66751	−	0.368161i
$146$	−1.22580	+	2.12314i	−0.101448	+	0.175712i
$147$	−0.709205	+	2.64679i	−0.0584943	+	0.218304i
$148$	7.60086			0.624786
$149$	3.53174	−	13.1806i	0.289331	−	1.07980i	−0.656284	−	0.754514i	$-0.727873\pi$
$149$	3.53174	−	13.1806i	0.289331	−	1.07980i	0.945616	−	0.325286i	$-0.105461\pi$
$150$	−1.71825	+	4.69549i	−0.140294	+	0.383385i
$151$	−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	$0.975413\pi$
$152$	−0.986389	−	0.264302i	−0.0800067	−	0.0214377i
$153$	0.0226346	+	0.0844736i	0.00182990	+	0.00682928i
$154$	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	−0.611070	−	0.791576i	$-0.709261\pi$
$157$	2.26173	−	2.26173i	0.180506	−	0.180506i	0.791576	+	0.611070i	$0.209261\pi$
$158$	5.22163	−	9.04413i	0.415411	−	0.719513i
$159$	7.48287	+	4.32024i	0.593430	+	0.342617i
$160$	0.674247	−	2.13199i	0.0533039	−	0.168549i
$161$	5.21175	−	5.21175i	0.410743	−	0.410743i
$162$	−0.866025	+	0.500000i	−0.0680414	+	0.0392837i
$163$	−13.7097	+	7.91529i	−1.07383	+	0.619973i	−0.929224	−	0.369517i	$-0.879523\pi$
$163$	−13.7097	+	7.91529i	−1.07383	+	0.619973i	−0.144601	+	0.989490i	$0.546190\pi$
$164$	2.46166	−	2.46166i	0.192224	−	0.192224i
$165$	0.438790	−	1.38747i	0.0341597	−	0.108014i
$166$	−1.31070	−	0.756731i	−0.101730	−	0.0587337i
$167$	−8.97024	+	15.5369i	−0.694138	+	1.20228i	0.276332	+	0.961062i	$0.410881\pi$
$167$	−8.97024	+	15.5369i	−0.694138	+	1.20228i	−0.970470	+	0.241221i	$0.922452\pi$
$168$	−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
$172$	−2.60755	−	9.73152i	−0.198824	−	0.742021i
$173$	0.317409	+	0.0850494i	0.0241321	+	0.00646619i	0.270865	−	0.962617i	$-0.412690\pi$
$173$	0.317409	+	0.0850494i	0.0241321	+	0.00646619i	−0.246733	+	0.969084i	$0.579357\pi$
$174$	−6.50261	−	6.50261i	−0.492961	−	0.492961i
$175$	−14.1540	+	6.57026i	−1.06994	+	0.496665i
$176$	−0.168435	+	0.628610i	−0.0126963	+	0.0473832i
$177$	−13.2396			−0.995147
$178$	4.84513	−	18.0823i	0.363158	−	1.35532i
$179$	10.9575	−	18.9789i	0.819001	−	1.41855i	−0.0874180	−	0.996172i	$-0.527862\pi$
$179$	10.9575	−	18.9789i	0.819001	−	1.41855i	0.906419	−	0.422380i	$-0.138805\pi$
$180$	2.18348	−	0.482081i	0.162747	−	0.0359322i
$181$			6.11180i			0.454286i	0.973861	+	0.227143i	$0.0729385\pi$
$181$			6.11180i			0.454286i	−0.973861	+	0.227143i	$0.927061\pi$
$182$	5.57931	−	9.77207i	0.413566	−	0.724354i
$183$	4.81140	+	4.81140i	0.355669	+	0.355669i
$184$	2.28118	−	0.611240i	0.168171	−	0.0450612i
$185$	−3.66423	−	16.5963i	−0.269399	−	1.22019i
$186$	1.72150	−	0.993907i	0.126226	−	0.0728768i
$187$			0.0569134i			0.00416192i
$188$	2.37110	+	4.10687i	0.172931	+	0.299525i
$189$	−3.01458	−	0.807754i	−0.219278	−	0.0587555i
$190$	−0.101580	+	2.28118i	−0.00736939	+	0.165494i
$191$	−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	$0.889144\pi$
$192$	−0.965926	+	0.258819i	−0.0697097	+	0.0186787i
$193$	−2.65297	−	1.53169i	−0.190965	−	0.110254i	0.401469	−	0.915872i	$-0.368500\pi$
$193$	−2.65297	−	1.53169i	−0.190965	−	0.110254i	−0.592434	+	0.805619i	$0.701833\pi$
$194$	−5.11701			−0.367380
$195$	−7.13655	+	3.75096i	−0.511059	+	0.268612i
$196$	−2.74016			−0.195726
$197$	−1.78952	−	1.03318i	−0.127498	−	0.0736108i	0.434895	−	0.900481i	$-0.356786\pi$
$197$	−1.78952	−	1.03318i	−0.127498	−	0.0736108i	−0.562392	+	0.826871i	$0.690119\pi$
$198$	−0.628610	+	0.168435i	−0.0446733	+	0.0119702i
$199$	−2.09521	−	3.62902i	−0.148526	−	0.257254i	0.782157	−	0.623081i	$-0.214119\pi$
$199$	−2.09521	−	3.62902i	−0.148526	−	0.257254i	−0.930683	+	0.365827i	$0.880786\pi$
$200$	−4.98021	−	0.444415i	−0.352154	−	0.0314249i
$201$	10.4756	+	2.80692i	0.738889	+	0.197985i
$202$	−2.07700	−	3.59747i	−0.146137	−	0.253117i
$203$		−	28.7002i		−	2.01436i
$204$	−0.0757369	+	0.0437267i	−0.00530265	+	0.00306148i
$205$	−6.56172	−	4.18828i	−0.458291	−	0.292522i
$206$	12.1453	−	3.25432i	0.846202	−	0.226739i
$207$	1.66994	+	1.66994i	0.116069	+	0.116069i
$208$	3.11378	−	1.81780i	0.215902	−	0.126042i
$209$		−	0.664572i		−	0.0459694i
$210$	5.88243	+	3.75470i	0.405927	+	0.259099i
$211$	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	$0.0227737\pi$
$212$	−2.23632	+	8.34606i	−0.153591	+	0.573210i
$213$	13.4668			0.922731
$214$	−0.860303	+	3.21069i	−0.0588091	+	0.219478i
$215$	−19.9916	+	10.3849i	−1.36341	+	0.708246i
$216$	−0.707107	−	0.707107i	−0.0481125	−	0.0481125i
$217$	5.99242	+	1.60567i	0.406792	+	0.109000i
$218$	−3.12559	−	11.6649i	−0.211692	−	0.790044i
$219$	−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
$223$	7.16344	−	12.4074i	0.479699	−	0.830863i	−0.520030	−	0.854148i	$-0.674079\pi$
$223$	7.16344	−	12.4074i	0.479699	−	0.830863i	0.999729	+	0.0232849i	$0.00741247\pi$
$224$	−2.70280	−	1.56046i	−0.180588	−	0.104263i
$225$	−2.10523	−	4.53520i	−0.140349	−	0.302346i
$226$	−4.83074	+	4.83074i	−0.321336	+	0.321336i
$227$	−14.7394	+	8.50979i	−0.978288	+	0.564815i	−0.901753	−	0.432252i	$-0.857719\pi$
$227$	−14.7394	+	8.50979i	−0.978288	+	0.564815i	−0.0765352	+	0.997067i	$0.524386\pi$
$228$	0.884372	−	0.510593i	0.0585690	−	0.0338148i
$229$	11.8234	−	11.8234i	0.781309	−	0.781309i	−0.198742	−	0.980052i	$-0.563686\pi$
$229$	11.8234	−	11.8234i	0.781309	−	0.781309i	0.980052	+	0.198742i	$0.0636857\pi$
$230$	−2.43434	−	4.68625i	−0.160516	−	0.309002i
$231$	−1.75894	−	1.01552i	−0.115730	−	0.0668166i
$232$	4.59804	−	7.96403i	0.301876	−	0.522864i
$233$	1.14372	−	1.14372i	0.0749275	−	0.0749275i	−0.668650	−	0.743577i	$-0.733127\pi$
$233$	1.14372	−	1.14372i	0.0749275	−	0.0749275i	0.743577	+	0.668650i	$0.233127\pi$
$234$	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
$237$	2.70292	+	10.0874i	0.175573	+	0.655248i
$238$	−0.263636	−	0.0706409i	−0.0170890	−	0.00457897i
$239$	−0.186214	−	0.186214i	−0.0120452	−	0.0120452i	0.701059	−	0.713104i	$-0.252711\pi$
$239$	−0.186214	−	0.186214i	−0.0120452	−	0.0120452i	−0.713104	+	0.701059i	$0.752711\pi$
$240$	1.03078	+	1.98431i	0.0665366	+	0.128087i
$241$	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	$-0.252101\pi$
$242$	10.5765			0.679882
$243$	0.258819	−	0.965926i	0.0166032	−	0.0619642i
$244$	−3.40217	+	5.89274i	−0.217802	+	0.377244i
$245$	1.32098	+	5.98309i	0.0843942	+	0.382246i
$246$			3.48132i			0.221961i
$247$	−2.59095	+	2.61603i	−0.164858	+	0.166454i
$248$	1.40560	+	1.40560i	0.0892555	+	0.0892555i
$249$	1.46189	−	0.391713i	0.0926436	−	0.0248238i
$250$	1.43049	+	11.0884i	0.0904722	+	0.701295i
$251$	−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	$0.354498\pi$
$252$		−	3.12092i		−	0.196600i
$253$	0.768463	+	1.33102i	0.0483128	+	0.0836803i
$254$	−5.79169	−	1.55188i	−0.363403	−	0.0973736i
$255$	0.131988	+	0.144291i	0.00826541	+	0.00903582i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−11.1229	+	2.98037i	−0.693827	+	0.185910i	−0.588464	−	0.808523i	$-0.700267\pi$
$257$	−11.1229	+	2.98037i	−0.693827	+	0.185910i	−0.105363	+	0.994434i	$0.533600\pi$
$258$	8.72504	+	5.03741i	0.543197	+	0.313615i
$259$	−23.7217			−1.47399
$260$	−5.47022	−	5.92256i	−0.339249	−	0.367301i
$261$	9.19607			0.569223
$262$	4.01534	+	2.31825i	0.248068	+	0.143222i
$263$	0.721608	−	0.193354i	0.0444963	−	0.0119227i	−0.236502	−	0.971631i	$-0.576001\pi$
$263$	0.721608	−	0.193354i	0.0444963	−	0.0119227i	0.280999	+	0.959708i	$0.409334\pi$
$264$	−0.325392	−	0.563596i	−0.0200265	−	0.0346869i
$265$	19.3016	+	0.859491i	1.18569	+	0.0527981i
$266$	3.07844	+	0.824867i	0.188752	+	0.0505758i
$267$	9.36007	+	16.2121i	0.572827	+	0.992165i
$268$			10.8451i			0.662470i
$269$	13.5976	−	7.85055i	0.829058	−	0.478657i	−0.0244723	−	0.999701i	$-0.507791\pi$
$269$	13.5976	−	7.85055i	0.829058	−	0.478657i	0.853530	+	0.521044i	$0.174457\pi$
$270$	−1.20307	+	1.88484i	−0.0732167	+	0.114708i
$271$	−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
$273$	2.96473	+	10.8551i	0.179433	+	0.656978i
$274$		−	10.6052i		−	0.640685i
$275$	−0.559480	−	3.20546i	−0.0337379	−	0.193297i
$276$	−1.18083	+	2.04525i	−0.0710773	+	0.123110i
$277$	1.02469	−	3.82420i	0.0615677	−	0.229774i	−0.928285	−	0.371869i	$-0.878717\pi$
$277$	1.02469	−	3.82420i	0.0615677	−	0.229774i	0.989853	+	0.142095i	$0.0453838\pi$
$278$	16.4468			0.986413
$279$	−0.514484	+	1.92008i	−0.0308014	+	0.114952i
$280$	−2.10427	+	6.65378i	−0.125754	+	0.397640i
$281$	−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	$0.998265\pi$
$282$	−4.58062	−	1.22737i	−0.272772	−	0.0730891i
$283$	8.00692	+	29.8822i	0.475962	+	1.77631i	0.617705	+	0.786410i	$0.288063\pi$
$283$	8.00692	+	29.8822i	0.475962	+	1.77631i	−0.141743	+	0.989903i	$0.545271\pi$
$284$	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
$288$	0.500000	−	0.866025i	0.0294628	−	0.0510310i
$289$	14.7158	+	8.49618i	0.865636	+	0.499775i
$290$	−19.6060	−	6.20043i	−1.15130	−	0.364102i
$291$	3.61828	−	3.61828i	0.212107	−	0.212107i
$292$	2.12314	−	1.22580i	0.124247	−	0.0717343i
$293$	−17.6162	+	10.1707i	−1.02915	+	0.594178i	−0.916740	−	0.399484i	$-0.869189\pi$
$293$	−17.6162	+	10.1707i	−1.02915	+	0.594178i	−0.112407	+	0.993662i	$0.535856\pi$
$294$	1.93758	−	1.93758i	0.113002	−	0.113002i
$295$	−26.2714	+	13.6471i	−1.52958	+	0.794565i
$296$	−6.58253	−	3.80043i	−0.382602	−	0.220895i
$297$	0.325392	−	0.563596i	0.0188812	−	0.0327032i
$298$	−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
$302$	4.13731	+	15.4406i	0.238075	+	0.888509i
$303$	4.01245	+	1.07513i	0.230509	+	0.0617648i
$304$	0.722087	+	0.722087i	0.0414145	+	0.0414145i
$305$	14.5068	+	4.58781i	0.830658	+	0.262697i
$306$	0.0226346	−	0.0844736i	0.00129394	−	0.00482903i
$307$	14.2902			0.815585			0.407792	−	0.913075i	$-0.366299\pi$
$307$	14.2902			0.815585			0.407792	+	0.913075i	$0.366299\pi$
$308$	0.525674	−	1.96184i	0.0299531	−	0.111786i
$309$	−6.28686	+	10.8892i	−0.357647	+	0.619463i
$310$	2.39149	−	3.74671i	0.135827	−	0.212799i
$311$			24.6571i			1.39818i	0.715034	+	0.699089i	$0.246411\pi$
$311$			24.6571i			1.39818i	−0.715034	+	0.699089i	$0.753589\pi$
$312$	−0.916397	+	3.48715i	−0.0518807	+	0.197421i
$313$	3.71347	+	3.71347i	0.209898	+	0.209898i	0.804224	−	0.594326i	$-0.202581\pi$
$313$	3.71347	+	3.71347i	0.209898	+	0.209898i	−0.594326	+	0.804224i	$0.702581\pi$
$314$	−3.08959	+	0.827852i	−0.174355	+	0.0467184i
$315$	−6.81448	+	1.50454i	−0.383953	+	0.0847710i
$316$	−9.04413	+	5.22163i	−0.508772	+	0.293740i
$317$			10.2414i			0.575212i	0.957749	+	0.287606i	$0.0928593\pi$
$317$			10.2414i			0.575212i	−0.957749	+	0.287606i	$0.907141\pi$
$318$	−4.32024	−	7.48287i	−0.242267	−	0.419619i
$319$	5.78074	+	1.54894i	0.323659	+	0.0867243i
$320$	−1.64991	+	1.50924i	−0.0922329	+	0.0843688i
$321$	−1.66198	−	2.87863i	−0.0927625	−	0.160669i
$322$	−7.11938	+	1.90763i	−0.396748	+	0.106308i
$323$	0.0773414	+	0.0446531i	0.00430339	+	0.00248457i
$324$	1.00000			0.0555556
$325$	−10.2947	+	14.7993i	−0.571048	+	0.820917i
$326$	15.8306			0.876775
$327$	10.4584	+	6.03818i	0.578353	+	0.333912i
$328$	−3.36270	+	0.901032i	−0.185674	+	0.0497512i
$329$	−7.40003	−	12.8172i	−0.407977	−	0.706637i
$330$	−1.07374	+	0.982187i	−0.0591073	+	0.0540676i
$331$	−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	$0.802772\pi$
$332$	0.756731	+	1.31070i	0.0415310	+	0.0719338i
$333$		−	7.60086i		−	0.416524i
$334$	15.5369	−	8.97024i	0.850142	−	0.490830i
$335$	23.6801	−	5.22822i	1.29378	−	0.285648i
$336$	3.01458	−	0.807754i	0.164459	−	0.0440666i
$337$	−18.6883	−	18.6883i	−1.01801	−	1.01801i	−0.999835	−	0.0181791i	$-0.994213\pi$
$337$	−18.6883	−	18.6883i	−1.01801	−	1.01801i	−0.0181791	−	0.999835i	$-0.505787\pi$
$338$	−0.125253	−	12.9994i	−0.00681286	−	0.707074i
$339$		−	6.83170i		−	0.371047i
$340$	−0.105213	+	0.164836i	−0.00570597	+	0.00893947i
$341$	−0.646819	+	1.12032i	−0.0350272	+	0.0606690i
$342$	−0.264302	+	0.986389i	−0.0142918	+	0.0533378i
$343$	−13.2946			−0.717843
$344$	−2.60755	+	9.73152i	−0.140590	+	0.524688i
$345$	5.03502	+	1.59234i	0.271076	+	0.0857285i
$346$	−0.232359	−	0.232359i	−0.0124917	−	0.0124917i
$347$	19.1265	+	5.12493i	1.02676	+	0.275121i	0.732618	−	0.680640i	$-0.238298\pi$
$347$	19.1265	+	5.12493i	1.02676	+	0.275121i	0.294146	+	0.955761i	$0.404965\pi$
$348$	2.38012	+	8.88272i	0.127588	+	0.476164i
$349$	−0.0805064	−	0.300454i	−0.00430941	−	0.0160829i	0.963738	−	0.266852i	$-0.0859833\pi$
$349$	−0.0805064	−	0.300454i	−0.00430941	−	0.0160829i	−0.968047	+	0.250769i	$0.919317\pi$
$350$	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
$353$	−14.8449	+	25.7121i	−0.790114	+	1.36852i	0.135782	+	0.990739i	$0.456645\pi$
$353$	−14.8449	+	25.7121i	−0.790114	+	1.36852i	−0.925896	+	0.377779i	$0.876688\pi$
$354$	11.4658	+	6.61978i	0.609400	+	0.351837i
$355$	26.7223	−	13.8813i	1.41827	−	0.736745i
$356$	−13.2371	+	13.2371i	−0.701567	+	0.701567i
$357$	0.236369	−	0.136468i	0.0125100	−	0.00722264i
$358$	−18.9789	+	10.9575i	−1.00307	+	0.579121i
$359$	24.4058	−	24.4058i	1.28809	−	1.28809i	0.352143	−	0.935946i	$-0.385453\pi$
$359$	24.4058	−	24.4058i	1.28809	−	1.28809i	0.935946	−	0.352143i	$-0.114547\pi$
$360$	−2.13199	−	0.674247i	−0.112366	−	0.0355360i
$361$	15.5514	+	8.97859i	0.818493	+	0.472557i
$362$	3.05590	−	5.29297i	0.160614	−	0.278192i
$363$	−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
$367$	−7.97094	−	29.7480i	−0.416080	−	1.55283i	−0.782663	−	0.622445i	$-0.786139\pi$
$367$	−7.97094	−	29.7480i	−0.416080	−	1.55283i	0.366584	−	0.930385i	$-0.380527\pi$
$368$	−2.28118	−	0.611240i	−0.118915	−	0.0318631i
$369$	−2.46166	−	2.46166i	−0.128149	−	0.128149i
$370$	−5.12486	+	16.2050i	−0.266429	+	0.842456i
$371$	6.97938	−	26.0474i	0.362351	−	1.35231i
$372$	−1.98781			−0.103063
$373$	0.470335	−	1.75531i	0.0243530	−	0.0908867i	−0.952680	−	0.303976i	$-0.901686\pi$
$373$	0.470335	−	1.75531i	0.0243530	−	0.0908867i	0.977033	+	0.213089i	$0.0683525\pi$
$374$	0.0284567	−	0.0492884i	0.00147146	−	0.00254864i
$375$	−8.85223	−	6.82921i	−0.457127	−	0.352659i
$376$		−	4.74221i		−	0.244561i
$377$	−16.7166	−	28.6345i	−0.860948	−	1.47475i
$378$	2.20683	+	2.20683i	0.113507	+	0.113507i
$379$	−6.00997	+	1.61037i	−0.308712	+	0.0827190i	−0.409849	−	0.912153i	$-0.634419\pi$
$379$	−6.00997	+	1.61037i	−0.308712	+	0.0827190i	0.101137	+	0.994872i	$0.467752\pi$
$380$	1.22856	−	1.92477i	0.0630238	−	0.0987386i
$381$	5.19269	−	2.99800i	0.266030	−	0.153592i
$382$			4.82155i			0.246692i
$383$	−0.531011	−	0.919738i	−0.0271334	−	0.0469964i	0.852140	−	0.523314i	$-0.175305\pi$
$383$	−0.531011	−	0.919738i	−0.0271334	−	0.0469964i	−0.879273	+	0.476318i	$0.841971\pi$
$384$	0.965926	+	0.258819i	0.0492922	+	0.0132078i
$385$	−4.53707	−	0.202034i	−0.231230	−	0.0102966i
$386$	1.53169	+	2.65297i	0.0779611	+	0.135033i
$387$	−9.73152	+	2.60755i	−0.494681	+	0.132549i
$388$	4.43146	+	2.55851i	0.224974	+	0.129889i
$389$	32.8035			1.66320			0.831602	−	0.555372i	$-0.187424\pi$
$389$	32.8035			1.66320			0.831602	+	0.555372i	$0.187424\pi$
$390$	8.05591	+	0.319849i	0.407927	+	0.0161962i
$391$	−0.206535			−0.0104449
$392$	2.37305	+	1.37008i	0.119857	+	0.0691995i
$393$	−4.47852	+	1.20002i	−0.225912	+	0.0605329i
$394$	1.03318	+	1.78952i	0.0520507	+	0.0901545i
$395$	15.7614	+	17.2305i	0.793040	+	0.866959i
$396$	0.628610	+	0.168435i	0.0315888	+	0.00846420i
$397$	18.6981	+	32.3861i	0.938431	+	1.62541i	0.768399	+	0.639971i	$0.221054\pi$
$397$	18.6981	+	32.3861i	0.938431	+	1.62541i	0.170031	+	0.985439i	$0.445613\pi$
$398$			4.19043i			0.210047i
$399$	−2.76006	+	1.59352i	−0.138176	+	0.0797758i
$400$	4.09078	+	2.87498i	0.204539	+	0.143749i
$401$	−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
$403$	6.91393	−	1.88833i	0.344408	−	0.0940643i
$404$			4.15400i			0.206669i
$405$	−0.482081	−	2.18348i	−0.0239548	−	0.108498i
$406$	−14.3501	+	24.8551i	−0.712184	+	1.23354i
$407$	1.28025	−	4.77797i	0.0634598	−	0.236835i
$408$	0.0874535			0.00432959
$409$	6.85691	−	25.5903i	0.339052	−	1.26536i	−0.560356	−	0.828252i	$-0.689336\pi$
$409$	6.85691	−	25.5903i	0.339052	−	1.26536i	0.899409	−	0.437109i	$-0.143998\pi$
$410$	3.58848	+	6.90802i	0.177222	+	0.341163i
$411$	7.49903	+	7.49903i	0.369900	+	0.369900i
$412$	−12.1453	−	3.25432i	−0.598355	−	0.160329i
$413$	10.6943	+	39.9117i	0.526233	+	1.96393i
$414$	−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
$418$	−0.332286	+	0.575536i	−0.0162526	+	0.0281504i
$419$	−9.10788	−	5.25844i	−0.444949	−	0.256891i	0.260746	−	0.965408i	$-0.416032\pi$
$419$	−9.10788	−	5.25844i	−0.444949	−	0.256891i	−0.705695	+	0.708516i	$0.749365\pi$
$420$	−3.21699	−	6.19288i	−0.156973	−	0.302182i
$421$	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	$0.227349\pi$
$422$	−10.9900	+	6.34508i	−0.534985	+	0.308874i
$423$	4.10687	−	2.37110i	0.199683	−	0.115287i
$424$	6.10974	−	6.10974i	0.296715	−	0.296715i
$425$	0.410637	+	0.150267i	0.0199188	+	0.00728900i
$426$	−11.6626	−	6.73341i	−0.565055	−	0.326235i
$427$	10.6179	−	18.3908i	0.513837	−	0.889992i
$428$	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	$-0.226211\pi$
$432$	0.258819	+	0.965926i	0.0124524	+	0.0464731i
$433$	−34.0900	−	9.13438i	−1.63826	−	0.438970i	−0.681967	−	0.731383i	$-0.738875\pi$
$433$	−34.0900	−	9.13438i	−1.63826	−	0.438970i	−0.956292	+	0.292413i	$0.905542\pi$
$434$	−4.38676	−	4.38676i	−0.210571	−	0.210571i
$435$	18.2479	−	9.47914i	0.874918	−	0.454490i
$436$	−3.12559	+	11.6649i	−0.149689	+	0.558646i
$437$	2.41168			0.115366
$438$	−0.634519	+	2.36806i	−0.0303185	+	0.113150i
$439$	2.75416	−	4.77035i	0.131449	−	0.227677i	−0.792786	−	0.609500i	$-0.791370\pi$
$439$	2.75416	−	4.77035i	0.131449	−	0.227677i	0.924235	+	0.381823i	$0.124704\pi$
$440$	−1.22662	−	0.782942i	−0.0584770	−	0.0373253i
$441$			2.74016i			0.130484i
$442$	−0.304177	+	0.0830766i	−0.0144682	+	0.00395155i
$443$	1.58762	+	1.58762i	0.0754302	+	0.0754302i	0.743815	−	0.668385i	$-0.233014\pi$
$443$	1.58762	+	1.58762i	0.0754302	+	0.0754302i	−0.668385	+	0.743815i	$0.733014\pi$
$444$	7.34186	−	1.96725i	0.348429	−	0.0933614i
$445$	35.2844	+	22.5217i	1.67264	+	1.06763i
$446$	−12.4074	+	7.16344i	−0.587509	+	0.339199i
$447$		−	13.6456i		−	0.645415i
$448$	1.56046	+	2.70280i	0.0737249	+	0.127695i
$449$	−27.8644	−	7.46623i	−1.31500	−	0.352353i	−0.467898	−	0.883782i	$-0.654989\pi$
$449$	−27.8644	−	7.46623i	−1.31500	−	0.352353i	−0.847103	+	0.531429i	$0.821655\pi$
$450$	−0.444415	+	4.98021i	−0.0209499	+	0.234769i
$451$	−1.13279	−	1.96206i	−0.0533412	−	0.0923897i
$452$	6.59892	−	1.76817i	0.310387	−	0.0831679i
$453$	−13.8437	−	7.99266i	−0.650434	−	0.375528i
$454$	17.0196			0.798769
$455$	17.0721	+	18.4838i	0.800354	+	0.866536i
$456$	−1.02119			−0.0478214
$457$	−34.7545	−	20.0655i	−1.62575	−	0.938627i	−0.985342	−	0.170591i	$-0.945432\pi$
$457$	−34.7545	−	20.0655i	−1.62575	−	0.938627i	−0.640407	−	0.768036i	$-0.721234\pi$
$458$	−16.1510	+	4.32765i	−0.754687	+	0.202218i
$459$	0.0437267	+	0.0757369i	0.00204099	+	0.00353510i
$460$	−0.234920	+	5.27558i	−0.0109532	+	0.245975i
$461$	−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	$0.711624\pi$
$462$	1.01552	+	1.75894i	0.0472465	+	0.0818333i
$463$		−	38.5945i		−	1.79364i	−0.442399	−	0.896818i	$-0.645872\pi$
$463$		−	38.5945i		−	1.79364i	0.442399	−	0.896818i	$-0.354128\pi$
$464$	−7.96403	+	4.59804i	−0.369721	+	0.213458i
$465$	0.958287	+	4.34036i	0.0444395	+	0.201279i
$466$	−1.56235	+	0.418630i	−0.0723744	+	0.0193927i
$467$	15.2256	+	15.2256i	0.704556	+	0.704556i	0.965385	−	0.260829i	$-0.0839959\pi$
$467$	15.2256	+	15.2256i	0.704556	+	0.704556i	−0.260829	+	0.965385i	$0.583996\pi$
$468$	−1.81780	−	3.11378i	−0.0840277	−	0.143934i
$469$		−	33.8467i		−	1.56290i
$470$	−10.3545	+	2.28613i	−0.477619	+	0.105451i
$471$	1.59929	−	2.77005i	0.0736913	−	0.127637i
$472$	−3.42665	+	12.7884i	−0.157724	+	0.588635i
$473$	−6.55653			−0.301470
$474$	2.70292	−	10.0874i	0.124149	−	0.463331i
$475$	−4.79497	−	1.75465i	−0.220008	−	0.0805087i
$476$	0.192995	+	0.192995i	0.00884589	+	0.00884589i
$477$	8.34606	+	2.23632i	0.382140	+	0.102394i
$478$	0.0681589	+	0.254373i	0.00311752	+	0.0116347i
$479$	3.98679	+	14.8789i	0.182161	+	0.679835i	0.995220	+	0.0976537i	$0.0311338\pi$
$479$	3.98679	+	14.8789i	0.182161	+	0.679835i	−0.813059	+	0.582181i	$0.802200\pi$
$480$	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
$483$	3.68526	−	6.38306i	0.167685	−	0.290439i
$484$	−9.15950	−	5.28824i	−0.416341	−	0.240375i
$485$	3.45013	−	10.9094i	0.156662	−	0.495372i
$486$	−0.707107	+	0.707107i	−0.0320750	+	0.0320750i
$487$	−16.3277	+	9.42678i	−0.739877	+	0.427168i	−0.822025	−	0.569452i	$-0.807155\pi$
$487$	−16.3277	+	9.42678i	−0.739877	+	0.427168i	0.0821477	+	0.996620i	$0.473822\pi$
$488$	5.89274	−	3.40217i	0.266752	−	0.154009i
$489$	−11.1939	+	11.1939i	−0.506206	+	0.506206i
$490$	1.84754	−	5.84200i	0.0834636	−	0.263915i
$491$	−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	$0.701800\pi$
$492$	1.74066	−	3.01491i	0.0784750	−	0.135923i
$493$	−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
$497$	−10.8779	−	40.5968i	−0.487939	−	1.82101i
$498$	−1.46189	−	0.391713i	−0.0655090	−	0.0175531i
$499$	6.12464	+	6.12464i	0.274176	+	0.274176i	0.830779	−	0.556603i	$-0.187895\pi$
$499$	6.12464	+	6.12464i	0.274176	+	0.274176i	−0.556603	+	0.830779i	$0.687895\pi$
$500$	4.30538	−	10.3181i	0.192543	−	0.461441i
$501$	−4.64334	+	17.3292i	−0.207449	+	0.774211i
$502$	2.10531			0.0939646
$503$	−6.55326	+	24.4571i	−0.292196	+	1.09049i	0.651223	+	0.758886i	$0.274256\pi$
$503$	−6.55326	+	24.4571i	−0.292196	+	1.09049i	−0.943419	+	0.331603i	$0.892411\pi$
$504$	−1.56046	+	2.70280i	−0.0695085	+	0.120392i
$505$	9.07018	−	2.00256i	0.403618	−	0.0891129i
$506$		−	1.53693i		−	0.0683247i
$507$	9.28053	+	9.10339i	0.412163	+	0.404296i
$508$	4.23981	+	4.23981i	0.188111	+	0.188111i
$509$	−11.3870	+	3.05113i	−0.504719	+	0.135239i	−0.502189	−	0.864758i	$-0.667472\pi$
$509$	−11.3870	+	3.05113i	−0.504719	+	0.135239i	−0.00252998	+	0.999997i	$0.500805\pi$
$510$	−0.0421596	−	0.190953i	−0.00186686	−	0.00845555i
$511$	−6.62616	+	3.82562i	−0.293124	+	0.169235i
$512$			1.00000i			0.0441942i
$513$	−0.510593	−	0.884372i	−0.0225432	−	0.0390460i
$514$	11.1229	+	2.98037i	0.490610	+	0.131458i
$515$	−1.25074	+	28.0879i	−0.0551143	+	1.23770i
$516$	−5.03741	−	8.72504i	−0.221759	−	0.384099i
$517$	2.98100	−	0.798756i	0.131104	−	0.0351293i
$518$	20.5436	+	11.8608i	0.902633	+	0.521135i
$519$	0.328606			0.0144242
$520$	1.77607	+	7.86420i	0.0778860	+	0.344868i
$521$	7.65452			0.335351			0.167675	−	0.985842i	$-0.446374\pi$
$521$	7.65452			0.335351			0.167675	+	0.985842i	$0.446374\pi$
$522$	−7.96403	−	4.59804i	−0.348576	−	0.201251i
$523$	28.4783	−	7.63073i	1.24527	−	0.333669i	0.424762	−	0.905305i	$-0.360358\pi$
$523$	28.4783	−	7.63073i	1.24527	−	0.333669i	0.820507	+	0.571636i	$0.193691\pi$
$524$	−2.31825	−	4.01534i	−0.101273	−	0.175411i
$525$	−11.9712	+	10.0097i	−0.522466	+	0.436860i
$526$	−0.721608	−	0.193354i	−0.0314636	−	0.00843065i
$527$	−0.0869206	−	0.150551i	−0.00378632	−	0.00655810i
$528$			0.650785i			0.0283218i
$529$	15.0884	−	8.71130i	0.656018	−	0.378752i
$530$	−16.2859	−	10.3951i	−0.707414	−	0.451535i
$531$	−12.7884	+	3.42665i	−0.554971	+	0.148704i
$532$	−2.25358	−	2.25358i	−0.0977050	−	0.0977050i
$533$	−3.19027	+	12.1399i	−0.138186	+	0.525837i
$534$		−	18.7201i		−	0.810100i
$535$	−6.26512	−	3.99896i	−0.270865	−	0.172890i
$536$	5.42255	−	9.39213i	0.234219	−	0.405678i
$537$	5.67201	−	21.1682i	0.244765	−	0.913477i
$538$	−15.7011			−0.676923
$539$	−0.461540	+	1.72249i	−0.0198799	+	0.0741929i
$540$	1.98431	−	1.03078i	0.0853911	−	0.0443578i
$541$	−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	$0.821081\pi$
$542$	8.22569	+	2.20407i	0.353324	+	0.0946728i
$543$	1.58185	+	5.90354i	0.0678837	+	0.253345i
$544$	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	−0.859141	−	0.511739i	$-0.829001\pi$
$547$	−8.12503	+	8.12503i	−0.347401	+	0.347401i	0.511739	+	0.859141i	$0.329001\pi$
$548$	−5.30261	+	9.18440i	−0.226516	+	0.392338i
$549$	5.89274	+	3.40217i	0.251496	+	0.145201i
$550$	−1.11821	+	3.05575i	−0.0476805	+	0.130298i
$551$	6.64036	−	6.64036i	0.282889	−	0.282889i
$552$	2.04525	−	1.18083i	0.0870516	−	0.0502593i
$553$	28.2260	−	16.2963i	1.20029	−	0.692990i
$554$	−2.79951	+	2.79951i	−0.118940	+	0.118940i
$555$	−7.83482	−	15.0825i	−0.332570	−	0.640215i
$556$	−14.2433	−	8.22339i	−0.604052	−	0.348750i
$557$	−9.06907	+	15.7081i	−0.384269	+	0.665573i	−0.991667	−	0.128824i	$-0.958880\pi$
$557$	−9.06907	+	15.7081i	−0.384269	+	0.665573i	0.607399	+	0.794397i	$0.292213\pi$
$558$	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
$562$	6.10217	+	22.7736i	0.257404	+	0.960647i
$563$	33.7469	+	9.04247i	1.42226	+	0.381094i	0.886286	−	0.463138i	$-0.153276\pi$
$563$	33.7469	+	9.04247i	1.42226	+	0.381094i	0.535978	+	0.844232i	$0.319943\pi$
$564$	3.35325	+	3.35325i	0.141197	+	0.141197i
$565$	−7.04199	−	13.5562i	−0.296259	−	0.570315i
$566$	8.00692	−	29.8822i	0.336556	−	1.25604i
$567$	−3.12092			−0.131066
$568$	3.48547	−	13.0079i	0.146247	−	0.545801i
$569$	−12.2319	+	21.1863i	−0.512790	+	0.888178i	0.487100	+	0.873346i	$0.338055\pi$
$569$	−12.2319	+	21.1863i	−0.512790	+	0.888178i	−0.999890	+	0.0148316i	$0.995279\pi$
$570$	0.492294	+	2.22974i	0.0206199	+	0.0933936i
$571$		−	22.5270i		−	0.942727i	−0.881939	−	0.471364i	$-0.843762\pi$
$571$		−	22.5270i		−	0.942727i	0.881939	−	0.471364i	$-0.156238\pi$
$572$	−0.618214	−	2.26353i	−0.0258488	−	0.0946431i
$573$	−3.40935	−	3.40935i	−0.142428	−	0.142428i
$574$	10.4947	−	2.81205i	0.438041	−	0.117373i
$575$	11.6324	−	2.03031i	0.485104	−	0.0846699i
$576$	−0.866025	+	0.500000i	−0.0360844	+	0.0208333i
$577$		−	32.1391i		−	1.33797i	−0.743276	−	0.668985i	$-0.766729\pi$
$577$		−	32.1391i		−	1.33797i	0.743276	−	0.668985i	$-0.233271\pi$
$578$	−8.49618	−	14.7158i	−0.353394	−	0.612097i
$579$	−2.95900	−	0.792862i	−0.122972	−	0.0329502i
$580$	13.8790	+	15.1727i	0.576296	+	0.630012i
$581$	−2.36170	−	4.09058i	−0.0979798	−	0.169706i
$582$	−4.94266	+	1.32438i	−0.204880	+	0.0548973i
$583$	4.86974	+	2.81154i	0.201684	+	0.116442i
$584$	−2.45159			−0.101448
$585$	−5.92256	+	5.47022i	−0.244868	+	0.226166i
$586$	20.3414			0.840295
$587$	−17.2872	−	9.98075i	−0.713517	−	0.411950i	0.0988446	−	0.995103i	$-0.468485\pi$
$587$	−17.2872	−	9.98075i	−0.713517	−	0.411950i	−0.812362	+	0.583153i	$0.801819\pi$
$588$	−2.64679	+	0.709205i	−0.109152	+	0.0292471i
$589$	1.01496	+	1.75797i	0.0418208	+	0.0724358i
$590$	29.5753	+	1.31698i	1.21759	+	0.0542190i
$591$	−1.99594	−	0.534812i	−0.0821022	−	0.0219992i
$592$	3.80043	+	6.58253i	0.156197	+	0.270540i
$593$			4.57405i			0.187834i	0.995580	+	0.0939169i	$0.0299388\pi$
$593$			4.57405i			0.187834i	−0.995580	+	0.0939169i	$0.970061\pi$
$594$	−0.563596	+	0.325392i	−0.0231246	+	0.0133510i
$595$	0.328361	−	0.514439i	0.0134615	−	0.0210900i
$596$	13.1806	−	3.53174i	0.539900	−	0.144666i
$597$	−2.96308	−	2.96308i	−0.121271	−	0.121271i
$598$	−5.99197	+	6.04999i	−0.245030	+	0.247402i
$599$			26.5385i			1.08433i	0.840271	+	0.542167i	$0.182396\pi$
$599$			26.5385i			1.08433i	−0.840271	+	0.542167i	$0.817604\pi$
$600$	−4.92554	+	0.859701i	−0.201084	+	0.0350972i
$601$	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	$-0.0169029\pi$
$602$	8.13797	−	30.3713i	0.331679	−	1.23784i
$603$	10.8451			0.441647
$604$	4.13731	−	15.4406i	0.168345	−	0.628271i
$605$	−7.13116	+	22.5490i	−0.289923	+	0.916746i
$606$	−2.93732	−	2.93732i	−0.119320	−	0.119320i
$607$	11.7486	+	3.14802i	0.476860	+	0.127774i	0.489240	−	0.872149i	$-0.337274\pi$
$607$	11.7486	+	3.14802i	0.476860	+	0.127774i	−0.0123802	+	0.999923i	$0.503941\pi$
$608$	−0.264302	−	0.986389i	−0.0107189	−	0.0400034i
$609$	−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
$613$	10.0821	−	17.4627i	0.407212	−	0.705311i	−0.587364	−	0.809323i	$-0.699834\pi$
$613$	10.0821	−	17.4627i	0.407212	−	0.705311i	0.994576	+	0.104011i	$0.0331678\pi$
$614$	−12.3757	−	7.14510i	−0.499442	−	0.288353i
$615$	−7.42214	−	2.34727i	−0.299290	−	0.0946511i
$616$	−1.43617	+	1.43617i	−0.0578649	+	0.0578649i
$617$	−32.6028	+	18.8232i	−1.31254	+	0.757794i	−0.982516	−	0.186179i	$-0.940390\pi$
$617$	−32.6028	+	18.8232i	−1.31254	+	0.757794i	−0.330023	+	0.943973i	$0.607056\pi$
$618$	10.8892	−	6.28686i	0.438026	−	0.252895i
$619$	−27.2529	+	27.2529i	−1.09539	+	1.09539i	−0.100442	+	0.994943i	$0.532026\pi$
$619$	−27.2529	+	27.2529i	−1.09539	+	1.09539i	−0.994943	+	0.100442i	$0.967974\pi$
$620$	−3.94444	+	2.04900i	−0.158413	+	0.0822899i
$621$	2.04525	+	1.18083i	0.0820730	+	0.0473849i
$622$	12.3286	−	21.3537i	0.494331	−	0.856206i
$623$	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
$627$	−0.172004	−	0.641927i	−0.00686917	−	0.0256361i
$628$	3.08959	+	0.827852i	0.123288	+	0.0330349i
$629$	0.470029	+	0.470029i	0.0187413	+	0.0187413i
$630$	6.65378	+	2.10427i	0.265093	+	0.0838363i
$631$	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	$0.0313295\pi$
$632$	10.4433			0.415411
$633$	3.28446	−	12.2578i	0.130545	−	0.487202i
$634$	5.12068	−	8.86927i	0.203368	−	0.352244i
$635$	7.21363	−	11.3015i	0.286264	−	0.448486i
$636$			8.64047i			0.342617i
$637$	8.53225	−	4.98105i	0.338060	−	0.197357i
$638$	−4.23180	−	4.23180i	−0.167538	−	0.167538i
$639$	13.0079	−	3.48547i	0.514586	−	0.137883i
$640$	2.18348	−	0.482081i	0.0863097	−	0.0190559i
$641$	−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	$0.444805\pi$
$642$			3.32395i			0.131186i
$643$	10.3157	+	17.8672i	0.406810	+	0.704615i	0.994530	−	0.104449i	$-0.0333079\pi$
$643$	10.3157	+	17.8672i	0.406810	+	0.704615i	−0.587721	+	0.809064i	$0.699975\pi$
$644$	7.11938	+	1.90763i	0.280543	+	0.0751713i
$645$	−16.6225	+	15.2053i	−0.654512	+	0.598707i
$646$	−0.0446531	−	0.0773414i	−0.00175685	−	0.00304296i
$647$	18.1785	−	4.87092i	0.714671	−	0.191496i	0.116878	−	0.993146i	$-0.462711\pi$
$647$	18.1785	−	4.87092i	0.714671	−	0.191496i	0.597793	+	0.801651i	$0.296045\pi$
$648$	−0.866025	−	0.500000i	−0.0340207	−	0.0196419i
$649$	−8.61610			−0.338212
$650$	16.3151	−	7.66920i	0.639932	−	0.300811i
$651$	6.20381			0.243147
$652$	−13.7097	−	7.91529i	−0.536913	−	0.309987i
$653$	−39.8876	+	10.6879i	−1.56092	+	0.418248i	−0.932956	−	0.359992i	$-0.882780\pi$
$653$	−39.8876	+	10.6879i	−1.56092	+	0.418248i	−0.627967	+	0.778240i	$0.716113\pi$
$654$	−6.03818	−	10.4584i	−0.236111	−	0.408957i
$655$	−7.64983	+	6.99759i	−0.298904	+	0.273418i
$656$	3.36270	+	0.901032i	0.131291	+	0.0351794i
$657$	−1.22580	−	2.12314i	−0.0478229	−	0.0828317i
$658$			14.8001i			0.576967i
$659$	11.0082	−	6.35559i	0.428819	−	0.247579i	−0.270025	−	0.962853i	$-0.587032\pi$
$659$	11.0082	−	6.35559i	0.428819	−	0.247579i	0.698843	+	0.715275i	$0.253698\pi$
$660$	1.42098	−	0.313731i	0.0553115	−	0.0122120i
$661$	−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
$663$	0.156342	−	0.273830i	0.00607181	−	0.0106347i
$664$		−	1.51346i		−	0.0587337i
$665$	−3.83424	+	6.00706i	−0.148686	+	0.232944i
$666$	−3.80043	+	6.58253i	−0.147264	+	0.255068i
$667$	−5.62101	+	20.9779i	−0.217646	+	0.812267i
$668$	−17.9405			−0.694138
$669$	3.70807	−	13.8387i	0.143362	−	0.535035i
$670$	−23.1217	−	7.31228i	−0.893268	−	0.282498i
$671$	3.13119	+	3.13119i	0.120878	+	0.120878i
$672$	−3.01458	−	0.807754i	−0.116290	−	0.0311598i
$673$	−3.37878	−	12.6098i	−0.130242	−	0.486071i	0.869730	−	0.493528i	$-0.164293\pi$
$673$	−3.37878	−	12.6098i	−0.130242	−	0.486071i	−0.999972	+	0.00745690i	$0.997626\pi$
$674$	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	−0.185101	+	0.982719i	$0.559261\pi$
$677$	−30.3858	+	30.3858i	−1.16782	+	1.16782i	−0.982719	+	0.185101i	$0.940739\pi$
$678$	−3.41585	+	5.91643i	−0.131185	+	0.227219i
$679$	−13.8303	−	7.98490i	−0.530757	−	0.306432i
$680$	0.173535	−	0.0901454i	0.00665476	−	0.00345692i
$681$	−12.0347	+	12.0347i	−0.461169	+	0.461169i
$682$	1.12032	−	0.646819i	0.0428994	−	0.0247680i
$683$	20.2358	−	11.6831i	0.774302	−	0.447043i	−0.0601053	−	0.998192i	$-0.519144\pi$
$683$	20.2358	−	11.6831i	0.774302	−	0.447043i	0.834407	+	0.551149i	$0.185810\pi$
$684$	0.722087	−	0.722087i	0.0276097	−	0.0276097i
$685$	22.6103	+	7.15055i	0.863894	+	0.273208i
$686$	11.5135	+	6.64732i	0.439587	+	0.253796i
$687$	8.36038	−	14.4806i	0.318968	−	0.552469i
$688$	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	$0.639219\pi$
$692$	0.0850494	+	0.317409i	0.00323309	+	0.0120661i
$693$	−1.96184	−	0.525674i	−0.0745242	−	0.0199687i
$694$	−14.0016	−	14.0016i	−0.531492	−	0.531492i
$695$	−11.0892	+	35.0644i	−0.420637	+	1.33007i
$696$	2.38012	−	8.88272i	0.0902182	−	0.336699i
$697$	0.304454			0.0115320
$698$	−0.0805064	+	0.300454i	−0.00304721	+	0.0113724i
$699$	0.808731	−	1.40076i	0.0305890	−	0.0529817i
$700$	−12.7670	−	8.97259i	−0.482548	−	0.339132i
$701$			38.5740i			1.45692i	0.685087	+	0.728461i	$0.259764\pi$
$701$			38.5740i			1.45692i	−0.685087	+	0.728461i	$0.740236\pi$
$702$	3.48715	+	0.916397i	0.131614	+	0.0345872i
$703$	−5.48848	−	5.48848i	−0.207002	−	0.207002i
$704$	−0.628610	+	0.168435i	−0.0236916	+	0.00634815i
$705$	5.70522	−	8.93830i	0.214871	−	0.336636i
$706$	25.7121	−	14.8449i	0.967688	−	0.558695i
$707$		−	12.9643i		−	0.487573i
$708$	−6.61978	−	11.4658i	−0.248787	−	0.430911i
$709$	21.1704	+	5.67258i	0.795070	+	0.213038i	0.633418	−	0.773810i	$-0.281651\pi$
$709$	21.1704	+	5.67258i	0.795070	+	0.213038i	0.161652	+	0.986848i	$0.448318\pi$
$710$	−30.0829	−	1.33958i	−1.12899	−	0.0502736i
$711$	5.22163	+	9.04413i	0.195827	+	0.339182i
$712$	18.0823	−	4.84513i	0.677662	−	0.181579i
$713$	−4.06557	−	2.34726i	−0.152257	−	0.0879056i
$714$	−0.272936			−0.0102144
$715$	−4.64436	+	2.44107i	−0.173689	+	0.0912907i
$716$	21.9150			0.819001
$717$	−0.228064	−	0.131673i	−0.00851721	−	0.00491742i
$718$	−33.3389	+	8.93314i	−1.24420	+	0.333382i
$719$	−6.82948	−	11.8290i	−0.254697	−	0.441147i	0.710116	−	0.704084i	$-0.248642\pi$
$719$	−6.82948	−	11.8290i	−0.254697	−	0.441147i	−0.964813	+	0.262937i	$0.915309\pi$
$720$	1.50924	+	1.64991i	0.0562459	+	0.0614886i
$721$	37.9045	+	10.1565i	1.41164	+	0.378247i
$722$	−8.97859	−	15.5514i	−0.334149	−	0.578762i
$723$		−	26.9906i		−	1.00379i
$724$	−5.29297	+	3.05590i	−0.196712	+	0.113572i
$725$	26.4385	−	37.6191i	0.981902	−	1.39714i
$726$	10.2161	−	2.73739i	0.379155	−	0.101594i
$727$	−25.9287	−	25.9287i	−0.961642	−	0.961642i	0.0376492	−	0.999291i	$-0.488013\pi$
$727$	−25.9287	−	25.9287i	−0.961642	−	0.961642i	−0.999291	+	0.0376492i	$0.988013\pi$
$728$	11.2525	−	0.0542094i	0.417046	−	0.00200913i
$729$		−	1.00000i		−	0.0370370i
$730$	1.18187	+	5.35301i	0.0437428	+	0.198124i
$731$	0.440539	−	0.763035i	0.0162939	−	0.0282219i
$732$	−1.76110	+	6.57250i	−0.0650920	+	0.242926i
$733$	−47.7941			−1.76532			−0.882658	−	0.470015i	$-0.844248\pi$
$733$	−47.7941			−1.76532			−0.882658	+	0.470015i	$0.844248\pi$
$734$	−7.97094	+	29.7480i	−0.294213	+	1.09802i
$735$	2.82450	+	5.43733i	0.104183	+	0.200559i
$736$	1.66994	+	1.66994i	0.0615548	+	0.0615548i
$737$	6.81734	+	1.82670i	0.251120	+	0.0672874i
$738$	0.901032	+	3.36270i	0.0331674	+	0.123783i
$739$	8.68070	+	32.3968i	0.319325	+	1.19174i	0.919895	+	0.392164i	$0.128273\pi$
$739$	8.68070	+	32.3968i	0.319325	+	1.19174i	−0.600571	+	0.799572i	$0.705060\pi$
$740$	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
$743$	−1.89901	+	3.28918i	−0.0696680	+	0.120668i	−0.898755	−	0.438451i	$-0.855527\pi$
$743$	−1.89901	+	3.28918i	−0.0696680	+	0.120668i	0.829087	+	0.559119i	$0.188861\pi$
$744$	1.72150	+	0.993907i	0.0631132	+	0.0364384i
$745$	−14.0656	−	27.0771i	−0.515325	−	0.992028i
$746$	−1.28498	+	1.28498i	−0.0470464	+	0.0470464i
$747$	1.31070	−	0.756731i	0.0479559	−	0.0276873i
$748$	−0.0492884	+	0.0284567i	−0.00180216	+	0.00104048i
$749$	−7.33539	+	7.33539i	−0.268029	+	0.268029i
$750$	4.25165	+	10.3404i	0.155248	+	0.377577i
$751$	−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	$0.738474\pi$
$752$	−2.37110	+	4.10687i	−0.0864653	+	0.149762i
$753$	−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
$757$	0.220783	+	0.823974i	0.00802450	+	0.0299478i	0.969822	−	0.243814i	$-0.0783987\pi$
$757$	0.220783	+	0.823974i	0.00802450	+	0.0299478i	−0.961798	+	0.273762i	$0.911732\pi$
$758$	6.00997	+	1.61037i	0.218292	+	0.0584912i
$759$	1.08677	+	1.08677i	0.0394473	+	0.0394473i
$760$	−2.02635	+	1.05262i	−0.0735034	+	0.0381825i
$761$	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	$0.000418203\pi$
$762$	−5.99600			−0.217212
$763$	9.75473	−	36.4051i	0.353145	−	1.31795i
$764$	2.41078	−	4.17559i	0.0872188	−	0.151067i
$765$	0.164836	+	0.105213i	0.00595965	+	0.00380398i
$766$			1.06202i			0.0383724i
$767$	33.9166	+	33.5914i	1.22466	+	1.21291i
$768$	−0.707107	−	0.707107i	−0.0255155	−	0.0255155i
$769$	−44.3182	+	11.8750i	−1.59816	+	0.428225i	−0.944485	−	0.328554i	$-0.893439\pi$
$769$	−44.3182	+	11.8750i	−1.59816	+	0.428225i	−0.653671	+	0.756779i	$0.726772\pi$
$770$	3.82820	+	2.44350i	0.137959	+	0.0880576i
$771$	−9.97251	+	5.75763i	−0.359151	+	0.207356i
$772$		−	3.06338i		−	0.110254i
$773$	21.7112	+	37.6049i	0.780897	+	1.35255i	0.931420	+	0.363947i	$0.118571\pi$
$773$	21.7112	+	37.6049i	0.780897	+	1.35255i	−0.150522	+	0.988607i	$0.548096\pi$
$774$	9.73152	+	2.60755i	0.349792	+	0.0937266i
$775$	6.37550	+	7.62484i	0.229015	+	0.273892i
$776$	−2.55851	−	4.43146i	−0.0918451	−	0.159080i
$777$	−22.9134	+	6.13962i	−0.822013	+	0.220258i
$778$	−28.4087	−	16.4018i	−1.01850	−	0.588031i
$779$	−3.55507			−0.127374
$780$	−6.81670	−	4.30495i	−0.244077	−	0.154142i
$781$	8.76400			0.313600
$782$	0.178864	+	0.103267i	0.00639617	+	0.00369283i
$783$	8.88272	−	2.38012i	0.317443	−	0.0850585i
$784$	−1.37008	−	2.37305i	−0.0489314	−	0.0847517i
$785$	0.318171	−	7.14515i	0.0113560	−	0.255021i
$786$	4.47852	+	1.20002i	0.159744	+	0.0428032i
$787$	18.6552	+	32.3118i	0.664987	+	1.15179i	0.979289	+	0.202468i	$0.0648961\pi$
$787$	18.6552	+	32.3118i	0.664987	+	1.15179i	−0.314302	+	0.949323i	$0.601771\pi$
$788$		−	2.06635i		−	0.0736108i
$789$	0.646976	−	0.373532i	0.0230330	−	0.0132981i
$790$	−5.03450	−	22.8027i	−0.179119	−	0.811284i
$791$	−20.5947	+	5.51834i	−0.732264	+	0.196209i
$792$	−0.460174	−	0.460174i	−0.0163516	−	0.0163516i
$793$	−0.118189	−	24.5331i	−0.00419702	−	0.871198i
$794$		−	37.3962i		−	1.32714i
$795$	18.8663	−	4.16541i	0.669120	−	0.147732i
$796$	2.09521	−	3.62902i	0.0742629	−	0.128627i
$797$	8.54546	−	31.8921i	0.302696	−	1.12968i	−0.632215	−	0.774793i	$-0.717854\pi$
$797$	8.54546	−	31.8921i	0.302696	−	1.12968i	0.934911	−	0.354883i	$-0.115479\pi$
$798$	3.18704			0.112820
$799$	−0.107338	+	0.400591i	−0.00379735	+	0.0141719i
$800$	−2.10523	−	4.53520i	−0.0744311	−	0.160343i
$801$	13.2371	+	13.2371i	0.467711	+	0.467711i
$802$	0.873330	+	0.234008i	0.0308384	+	0.00826311i
$803$	−0.412935	−	1.54110i	−0.0145722	−	0.0543841i
$804$	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
$808$	2.07700	−	3.59747i	0.0730686	−	0.126558i
$809$	23.7864	+	13.7331i	0.836285	+	0.482829i	0.856000	−	0.516976i	$-0.172942\pi$
$809$	23.7864	+	13.7331i	0.836285	+	0.482829i	−0.0197148	+	0.999806i	$0.506276\pi$
$810$	−0.674247	+	2.13199i	−0.0236906	+	0.0749106i
$811$	−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	$0.255394\pi$
$812$	24.8551	−	14.3501i	0.872244	−	0.503590i
$813$	−7.37496	+	4.25793i	−0.258651	+	0.149332i
$814$	−3.49772	+	3.49772i	−0.122595	+	0.122595i
$815$	−10.6737	+	33.7507i	−0.373884	+	1.18223i
$816$	−0.0757369	−	0.0437267i	−0.00265132	−	0.00153074i
$817$	−5.14412	+	8.90988i	−0.179970	+	0.311717i
$818$	−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	$0.628722\pi$
$822$	−2.74484	−	10.2439i	−0.0957371	−	0.357296i
$823$	52.3426	+	14.0251i	1.82455	+	0.488886i	0.997332	−	0.0730000i	$-0.0232573\pi$
$823$	52.3426	+	14.0251i	1.82455	+	0.488886i	0.827215	+	0.561886i	$0.189924\pi$
$824$	8.89096	+	8.89096i	0.309731	+	0.309731i
$825$	−1.37005	−	2.95144i	−0.0476991	−	0.102756i
$826$	10.6943	−	39.9117i	0.372103	−	1.38871i
$827$	16.3486			0.568495			0.284248	−	0.958751i	$-0.408256\pi$
$827$	16.3486			0.568495			0.284248	+	0.958751i	$0.408256\pi$
$828$	−0.611240	+	2.28118i	−0.0212421	+	0.0792765i
$829$	−5.01544	+	8.68700i	−0.174193	+	0.301712i	−0.939882	−	0.341500i	$-0.889065\pi$
$829$	−5.01544	+	8.68700i	−0.174193	+	0.301712i	0.765688	+	0.643212i	$0.222398\pi$
$830$	−3.30462	+	0.729611i	−0.114705	+	0.0253252i
$831$		−	3.95910i		−	0.137340i
$832$	3.13115	+	1.78771i	0.108553	+	0.0619778i
$833$	−0.169449	−	0.169449i	−0.00587104	−	0.00587104i
$834$	15.8864	−	4.25674i	0.550100	−	0.147399i
$835$	8.64876	+	39.1728i	0.299303	+	1.35563i
$836$	0.575536	−	0.332286i	0.0199053	−	0.0114923i
$837$			1.98781i			0.0687089i
$838$	5.25844	+	9.10788i	0.181650	+	0.314626i
$839$	−35.1464	−	9.41745i	−1.21339	−	0.325126i	−0.405298	−	0.914185i	$-0.632832\pi$
$839$	−35.1464	−	9.41745i	−1.21339	−	0.325126i	−0.808090	+	0.589058i	$0.799499\pi$
$840$	−0.310447	+	6.97169i	−0.0107114	+	0.240546i
$841$	27.7839	+	48.1231i	0.958065	+	1.65942i
$842$	−2.81833	+	0.755170i	−0.0971262	+	0.0260249i
$843$	−20.4183	−	11.7885i	−0.703242	−	0.406017i
$844$	12.6902			0.436813
$845$	27.7991	+	8.49777i	0.956317	+	0.292332i
$846$	−4.74221			−0.163041
$847$	28.5861	+	16.5042i	0.982230	+	0.567091i
$848$	−8.34606	+	2.23632i	−0.286605	+	0.0767955i
$849$	15.4682	+	26.7917i	0.530866	+	0.919488i
$850$	−0.280489	−	0.335453i	−0.00962069	−	0.0115059i
$851$	17.3389	+	4.64595i	0.594370	+	0.159261i
$852$	6.73341	+	11.6626i	0.230683	+	0.399554i
$853$			42.9923i			1.47203i	0.676966	+	0.736014i	$0.263294\pi$
$853$			42.9923i			1.47203i	−0.676966	+	0.736014i	$0.736706\pi$
$854$	−18.3908	+	10.6179i	−0.629320	+	0.363338i
$855$	−1.92477	−	1.22856i	−0.0658257	−	0.0420159i
$856$	−3.21069	+	0.860303i	−0.109739	+	0.0294045i
$857$	5.82329	+	5.82329i	0.198920	+	0.198920i	0.799537	−	0.600617i	$-0.205078\pi$
$857$	5.82329	+	5.82329i	0.198920	+	0.198920i	−0.600617	+	0.799537i	$0.705078\pi$
$858$	2.03770	+	1.16342i	0.0695660	+	0.0397184i
$859$		−	55.5796i		−	1.89635i	−0.317745	−	0.948176i	$-0.602926\pi$
$859$		−	55.5796i		−	1.89635i	0.317745	−	0.948176i	$-0.397074\pi$
$860$	−18.9894	−	12.1207i	−0.647533	−	0.413314i
$861$	−5.43246	+	9.40930i	−0.185138	+	0.320668i
$862$	−4.66334	+	17.4038i	−0.158834	+	0.592777i
$863$	−19.0552			−0.648648			−0.324324	−	0.945946i	$-0.605137\pi$
$863$	−19.0552			−0.648648			−0.324324	+	0.945946i	$0.605137\pi$
$864$	0.258819	−	0.965926i	0.00880520	−	0.0328615i
$865$	0.652056	−	0.338721i	0.0221706	−	0.0115168i
$866$	24.9556	+	24.9556i	0.848025	+	0.848025i
$867$	16.4134	+	4.39794i	0.557427	+	0.149362i
$868$	1.60567	+	5.99242i	0.0544998	+	0.203396i
$869$	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
$873$	2.55851	−	4.43146i	0.0865923	−	0.149982i
$874$	−2.08858	−	1.20584i	−0.0706472	−	0.0407882i
$875$	−13.4368	+	32.2021i	−0.454246	+	1.08863i
$876$	1.73354	−	1.73354i	0.0585708	−	0.0585708i
$877$	16.1660	−	9.33343i	0.545886	−	0.315167i	−0.201575	−	0.979473i	$-0.564606\pi$
$877$	16.1660	−	9.33343i	0.545886	−	0.315167i	0.747461	+	0.664306i	$0.231273\pi$
$878$	−4.77035	+	2.75416i	−0.160992	+	0.0929486i
$879$	−14.3835	+	14.3835i	−0.485145	+	0.485145i
$880$	0.670817	+	1.29136i	0.0226132	+	0.0435317i
$881$	−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	$-0.693311\pi$
$882$	1.37008	−	2.37305i	0.0461330	−	0.0799047i
$883$	−35.7537	+	35.7537i	−1.20321	+	1.20321i	−0.230022	+	0.973185i	$0.573880\pi$
$883$	−35.7537	+	35.7537i	−1.20321	+	1.20321i	−0.973185	+	0.230022i	$0.926120\pi$
$884$	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
$887$	−6.05881	−	22.6118i	−0.203435	−	0.759229i	−0.989921	−	0.141621i	$-0.954769\pi$
$887$	−6.05881	−	22.6118i	−0.203435	−	0.759229i	0.786486	−	0.617608i	$-0.211898\pi$
$888$	−7.34186	−	1.96725i	−0.246377	−	0.0660165i
$889$	−13.2321	−	13.2321i	−0.443792	−	0.443792i
$890$	−19.2964	−	37.1466i	−0.646816	−	1.24516i
$891$	0.168435	−	0.628610i	0.00564280	−	0.0210592i
$892$	14.3269			0.479699
$893$	1.25338	−	4.67766i	0.0419426	−	0.156532i
$894$	−6.82280	+	11.8174i	−0.228189	+	0.395234i
$895$	−10.5648	−	47.8510i	−0.353142	−	1.59948i
$896$		−	3.12092i		−	0.104263i
$897$	−0.0410211	−	8.51495i	−0.00136965	−	0.284306i
$898$	20.3981	+	20.3981i	0.680694	+	0.680694i
$899$	−17.6572	+	4.73123i	−0.588901	+	0.157795i
$900$	2.87498	−	4.09078i	0.0958327	−	0.136359i
$901$	−0.654403	+	0.377820i	−0.0218013	+	0.0125870i
$902$			2.26559i			0.0754359i
$903$	15.7214	+	27.2302i	0.523174	+	0.906164i
$904$	−6.59892	−	1.76817i	−0.219477	−	0.0588086i
$905$	9.22414	+	10.0839i	0.306621	+	0.335201i
$906$	7.99266	+	13.8437i	0.265538	+	0.459926i
$907$	−15.6401	+	4.19075i	−0.519321	+	0.139152i	−0.508953	−	0.860795i	$-0.669967\pi$
$907$	−15.6401	+	4.19075i	−0.519321	+	0.139152i	−0.0103686	+	0.999946i	$0.503300\pi$
$908$	−14.7394	−	8.50979i	−0.489144	−	0.282407i
$909$	4.15400			0.137779
$910$	−5.54299	−	24.5435i	−0.183748	−	0.813611i
$911$	38.0093			1.25930			0.629652	−	0.776878i	$-0.283198\pi$
$911$	38.0093			1.25930			0.629652	+	0.776878i	$0.283198\pi$
$912$	0.884372	+	0.510593i	0.0292845	+	0.0169074i
$913$	0.951377	−	0.254921i	0.0314860	−	0.00843664i
$914$	20.0655	+	34.7545i	0.663709	+	1.14958i
$915$	15.1999	+	0.676847i	0.502494	+	0.0223759i
$916$	16.1510	+	4.32765i	0.533644	+	0.142990i
$917$	7.23509	+	12.5316i	0.238924	+	0.413828i
$918$		−	0.0874535i		−	0.00288640i
$919$	−19.0118	+	10.9764i	−0.627140	+	0.362079i	−0.779644	−	0.626224i	$-0.784600\pi$
$919$	−19.0118	+	10.9764i	−0.627140	+	0.362079i	0.152504	+	0.988303i	$0.451266\pi$
$920$	2.84124	−	4.45133i	0.0936728	−	0.146756i
$921$	13.8033	−	3.69858i	0.454833	−	0.121872i
$922$	11.9094	+	11.9094i	0.392214	+	0.392214i
$923$	−34.4988	−	34.1680i	−1.13554	−	1.12465i
$924$		−	2.03105i		−	0.0668166i
$925$	−31.0934	−	21.8523i	−1.02235	−	0.718499i
$926$	−19.2972	+	33.4238i	−0.634146	+	1.09837i
$927$	−3.25432	+	12.1453i	−0.106886	+	0.398903i
$928$	9.19607			0.301876
$929$	−0.995429	+	3.71499i	−0.0326590	+	0.121885i	−0.980331	−	0.197361i	$-0.936763\pi$
$929$	−0.995429	+	3.71499i	−0.0326590	+	0.121885i	0.947672	+	0.319246i	$0.103430\pi$
$930$	1.34028	−	4.23800i	0.0439495	−	0.138970i
$931$	1.97863	+	1.97863i	0.0648471	+	0.0648471i
$932$	1.56235	+	0.418630i	0.0511764	+	0.0137127i
$933$	6.38174	+	23.8170i	0.208929	+	0.779733i
$934$	−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	−0.856512	−	0.516128i	$-0.827373\pi$
$937$	−10.4193	+	10.4193i	−0.340384	+	0.340384i	0.516128	+	0.856512i	$0.327373\pi$
$938$	−16.9234	+	29.3121i	−0.552567	+	0.957075i
$939$	4.54805	+	2.62582i	0.148420	+	0.0856903i
$940$	10.1104	+	3.19742i	0.329763	+	0.104288i
$941$	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	$0.122055\pi$
$942$	−2.77005	+	1.59929i	−0.0902530	+	0.0521076i
$943$	7.12016	−	4.11083i	0.231864	−	0.133867i
$944$	9.36178	−	9.36178i	0.304700	−	0.304700i
$945$	−6.19288	+	3.21699i	−0.201454	+	0.104649i
$946$	5.67812	+	3.27827i	0.184612	+	0.106586i
$947$	−5.44911	+	9.43813i	−0.177072	+	0.306698i	−0.940876	−	0.338750i	$-0.889996\pi$
$947$	−5.44911	+	9.43813i	−0.177072	+	0.306698i	0.763804	+	0.645448i	$0.223329\pi$
$948$	−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
$952$	−0.0706409	−	0.263636i	−0.00228949	−	0.00854448i
$953$	44.5437	+	11.9355i	1.44291	+	0.386627i	0.893553	−	0.448958i	$-0.148205\pi$
$953$	44.5437	+	11.9355i	1.44291	+	0.386627i	0.549360	+	0.835586i	$0.314871\pi$
$954$	−6.10974	−	6.10974i	−0.197810	−	0.197810i
$955$	−10.2795	−	3.25092i	−0.332637	−	0.105197i
$956$	0.0681589	−	0.254373i	0.00220442	−	0.00822700i
$957$	5.98466			0.193457
$958$	3.98679	−	14.8789i	0.128807	−	0.480716i
$959$	16.5491	−	28.6638i	0.534397	−	0.925602i
$960$	−1.20307	+	1.88484i	−0.0388290	+	0.0608329i
$961$			27.0486i			0.872535i
$962$	27.4050	−	0.132024i	0.883571	−	0.00425663i
$963$	−2.35039	−	2.35039i	−0.0757403	−	0.0757403i
$964$	26.0709	−	6.98567i	0.839686	−	0.224993i
$965$	−6.68885	+	1.47680i	−0.215322	+	0.0475398i
$966$	−6.38306	+	3.68526i	−0.205372	+	0.118571i
$967$			26.6512i			0.857045i	0.903531	+	0.428523i	$0.140966\pi$
$967$			26.6512i			0.857045i	−0.903531	+	0.428523i	$0.859034\pi$
$968$	5.28824	+	9.15950i	0.169970	+	0.294397i
$969$	0.0862632	+	0.0231141i	0.00277117	+	0.000742533i
$970$	−8.44262	+	7.72278i	−0.271076	+	0.247964i
$971$	−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	$0.934679\pi$
$972$	0.965926	−	0.258819i	0.0309821	−	0.00830162i
$973$	44.4524	+	25.6646i	1.42508	+	0.822769i
$974$	18.8536			0.604107
$975$	−6.11359	+	16.9595i	−0.195792	+	0.543138i
$976$	−6.80435			−0.217802
$977$	2.83092	+	1.63443i	0.0905692	+	0.0522902i	0.544601	−	0.838696i	$-0.316681\pi$
$977$	2.83092	+	1.63443i	0.0905692	+	0.0522902i	−0.454031	+	0.890986i	$0.650015\pi$
$978$	15.2912	−	4.09726i	0.488958	−	0.131016i
$979$	6.09139	+	10.5506i	0.194682	+	0.337199i
$980$	−4.52102	+	4.13555i	−0.144419	+	0.132105i
$981$	11.6649	+	3.12559i	0.372430	+	0.0997924i
$982$	2.44080	+	4.22759i	0.0778891	+	0.134908i
$983$		−	25.7470i		−	0.821200i	−0.911816	−	0.410600i	$-0.865319\pi$
$983$		−	25.7470i		−	0.821200i	0.911816	−	0.410600i	$-0.134681\pi$
$984$	−3.01491	+	1.74066i	−0.0961118	+	0.0554902i
$985$	−4.51185	+	0.996150i	−0.143759	+	0.0317400i
$986$	0.776825	−	0.208150i	0.0247392	−	0.00662884i
$987$	−10.4652	−	10.4652i	−0.333112	−	0.333112i
$988$	−3.56103	−	0.935811i	−0.113291	−	0.0297721i
$989$		−	23.7932i		−	0.756579i
$990$	−0.782942	+	1.22662i	−0.0248835	+	0.0389847i
$991$	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	$0.0698193\pi$
$992$	−0.514484	+	1.92008i	−0.0163349	+	0.0609626i
$993$	−23.1443			−0.734463
$994$	−10.8779	+	40.5968i	−0.345025	+	1.28765i
$995$	−8.93396	−	2.82538i	−0.283226	−	0.0895707i
$996$	1.07018	+	1.07018i	0.0339099	+	0.0339099i
$997$	−10.2932	−	2.75805i	−0.325989	−	0.0873484i	0.0921133	−	0.995749i	$-0.470638\pi$
$997$	−10.2932	−	2.75805i	−0.325989	−	0.0873484i	−0.418102	+	0.908400i	$0.637304\pi$
$998$	−2.24177	−	8.36641i	−0.0709621	−	0.264834i
$999$	−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.bd.b.253.4	yes	16
5.2	odd	4		390.2.bn.b.97.2	yes	16
13.11	odd	12		390.2.bn.b.193.2	yes	16
65.37	even	12	inner	390.2.bd.b.37.4	✓	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.b.37.4	✓	16	65.37	even	12	inner
390.2.bd.b.253.4	yes	16	1.1	even	1	trivial
390.2.bn.b.97.2	yes	16	5.2	odd	4
390.2.bn.b.193.2	yes	16	13.11	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:	\( N \)	\(=\)	\( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	390.bd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 - 0.500000i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.64991 - 1.50924i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-1.56046 - 2.70280i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})\)	\(q+(-0.866025 - 0.500000i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.64991 - 1.50924i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-1.56046 - 2.70280i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +(-2.18348 + 0.482081i) q^{10} +(0.628610 - 0.168435i) q^{11} +(0.707107 + 0.707107i) q^{12} +(-3.13115 - 1.78771i) q^{13} +3.12092i q^{14} +(1.20307 - 1.88484i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.0226346 + 0.0844736i) q^{17} -1.00000 q^{18} +(0.264302 - 0.986389i) q^{19} +(2.13199 + 0.674247i) q^{20} +(-2.20683 - 2.20683i) q^{21} +(-0.628610 - 0.168435i) q^{22} +(0.611240 + 2.28118i) 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} +(1.56046 - 2.70280i) q^{28} +(7.96403 + 4.59804i) q^{29} +(-1.98431 + 1.03078i) q^{30} +(-1.40560 + 1.40560i) q^{31} +(0.866025 - 0.500000i) q^{32} +(0.563596 - 0.325392i) q^{33} +(0.0618390 - 0.0618390i) q^{34} +(-6.65378 - 2.10427i) q^{35} +(0.866025 + 0.500000i) q^{36} +(3.80043 - 6.58253i) 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} +(0.807754 + 3.01458i) q^{42} +(-9.73152 - 2.60755i) q^{43} +(0.460174 + 0.460174i) q^{44} +(0.674247 - 2.13199i) q^{45} +(0.611240 - 2.28118i) q^{46} +4.74221 q^{47} +(-0.258819 + 0.965926i) q^{48} +(-1.37008 + 2.37305i) q^{49} +(-2.87498 + 4.09078i) q^{50} +0.0874535i q^{51} +(-0.0173697 - 3.60551i) q^{52} +(6.10974 + 6.10974i) q^{53} +(-0.965926 + 0.258819i) q^{54} +(0.782942 - 1.22662i) q^{55} +(-2.70280 + 1.56046i) q^{56} -1.02119i q^{57} +(-4.59804 - 7.96403i) q^{58} +(-12.7884 - 3.42665i) q^{59} +(2.23385 + 0.0994727i) q^{60} +(3.40217 + 5.89274i) q^{61} +(1.92008 - 0.514484i) q^{62} +(-2.70280 - 1.56046i) q^{63} -1.00000 q^{64} +(-7.86420 + 1.77607i) q^{65} -0.650785 q^{66} +(9.39213 + 5.42255i) q^{67} +(-0.0844736 + 0.0226346i) q^{68} +(1.18083 + 2.04525i) q^{69} +(4.71021 + 5.14925i) q^{70} +(13.0079 + 3.48547i) q^{71} +(-0.500000 - 0.866025i) q^{72} -2.45159i q^{73} +(-6.58253 + 3.80043i) q^{74} +(-0.859701 - 4.92554i) q^{75} +(0.986389 - 0.264302i) q^{76} +(-1.43617 - 1.43617i) q^{77} +(2.56176 + 2.53720i) q^{78} +10.4433i q^{79} +(0.482081 + 2.18348i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-0.901032 + 3.36270i) q^{82} +1.51346 q^{83} +(0.807754 - 3.01458i) q^{84} +(0.0901454 + 0.173535i) q^{85} +(7.12397 + 7.12397i) q^{86} +(8.88272 + 2.38012i) q^{87} +(-0.168435 - 0.628610i) 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} +(-0.993907 + 1.72150i) q^{93} +(-4.10687 - 2.37110i) q^{94} +(-1.05262 - 2.02635i) q^{95} +(0.707107 - 0.707107i) q^{96} +(4.43146 - 2.55851i) q^{97} +(2.37305 - 1.37008i) q^{98} +(0.460174 - 0.460174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) \) 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7	\( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) \) 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7 + 12 * q^11 - 8 * q^13 + 12 * q^15 - 8 * q^16 + 16 * q^17 - 16 * q^18 + 4 * q^19 - 4 * q^20 - 12 * q^22 - 4 * q^23 - 4 * q^25 + 4 * q^26 - 4 * q^28 + 48 * q^29 - 8 * q^30 + 16 * q^31 + 20 * q^34 + 12 * q^35 + 20 * q^37 - 4 * q^38 - 4 * q^39 - 12 * q^41 + 4 * q^43 + 12 * q^44 - 4 * q^46 - 64 * q^47 + 4 * q^49 + 16 * q^50 - 16 * q^52 + 32 * q^53 - 44 * q^55 - 24 * q^56 - 12 * q^58 - 4 * q^59 + 12 * q^60 + 4 * q^61 - 20 * q^62 - 24 * q^63 - 16 * q^64 - 8 * q^65 + 32 * q^66 - 36 * q^67 - 4 * q^68 - 4 * q^69 - 36 * q^71 - 8 * q^72 - 12 * q^74 + 8 * q^76 - 4 * q^77 - 12 * q^78 - 8 * q^80 + 8 * q^81 - 12 * q^82 + 24 * q^83 - 52 * q^85 + 16 * q^86 - 12 * q^87 + 24 * q^89 - 4 * q^90 - 8 * q^92 - 36 * q^94 - 44 * q^95 + 60 * q^97 + 12 * q^99

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