LMFDB - Embedded newform 390.2.bd.b.7.1

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			7.1
Root			$0.792206 - 1.03242i$ of defining polynomial
Character	$\chi$	$=$	390.7
Dual form			390.2.bd.b.223.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 + 0.500000i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.54620 + 1.61532i) q^{5} +(0.258819 - 0.965926i) q^{6} +(0.954985 + 1.65408i) q^{7} +1.00000i q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})$	\(q+(0.866025 + 0.500000i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.54620 + 1.61532i) q^{5} +(0.258819 - 0.965926i) q^{6} +(0.954985 + 1.65408i) q^{7} +1.00000i q^{8} +(-0.866025 + 0.500000i) q^{9} +(-2.14671 + 0.625808i) q^{10} +(0.562653 + 2.09985i) q^{11} +(0.707107 - 0.707107i) q^{12} +(2.33147 + 2.75032i) q^{13} +1.90997i q^{14} +(1.96047 + 1.07544i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.597215 - 0.160023i) q^{17} -1.00000 q^{18} +(3.46041 + 0.927215i) q^{19} +(-2.17201 - 0.531389i) q^{20} +(1.35055 - 1.35055i) q^{21} +(-0.562653 + 2.09985i) q^{22} +(-0.653459 + 0.175094i) q^{23} +(0.965926 - 0.258819i) q^{24} +(-0.218523 - 4.99522i) q^{25} +(0.643951 + 3.54758i) q^{26} +(0.707107 + 0.707107i) q^{27} +(-0.954985 + 1.65408i) q^{28} +(-2.93087 - 1.69214i) q^{29} +(1.16009 + 1.91159i) q^{30} +(0.691834 + 0.691834i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(1.88267 - 1.08696i) q^{33} +(-0.437192 - 0.437192i) q^{34} +(-4.14847 - 1.01494i) q^{35} +(-0.866025 - 0.500000i) q^{36} +(1.42784 - 2.47309i) q^{37} +(2.53320 + 2.53320i) q^{38} +(2.05318 - 2.96386i) q^{39} +(-1.61532 - 1.54620i) q^{40} +(7.83418 - 2.09916i) q^{41} +(1.84489 - 0.494337i) q^{42} +(-0.901681 + 3.36512i) q^{43} +(-1.53720 + 1.53720i) q^{44} +(0.531389 - 2.17201i) q^{45} +(-0.653459 - 0.175094i) q^{46} -10.8506 q^{47} +(0.965926 + 0.258819i) q^{48} +(1.67601 - 2.90293i) q^{49} +(2.30836 - 4.43525i) q^{50} +0.618283i q^{51} +(-1.21611 + 3.39427i) q^{52} +(-1.54550 + 1.54550i) q^{53} +(0.258819 + 0.965926i) q^{54} +(-4.26190 - 2.33792i) q^{55} +(-1.65408 + 0.954985i) q^{56} -3.58249i q^{57} +(-1.69214 - 2.93087i) q^{58} +(3.75207 - 14.0029i) q^{59} +(0.0488750 + 2.23553i) q^{60} +(-2.85745 - 4.94925i) q^{61} +(0.253229 + 0.945063i) q^{62} +(-1.65408 - 0.954985i) q^{63} -1.00000 q^{64} +(-8.04757 - 0.486477i) q^{65} +2.17392 q^{66} +(5.07155 + 2.92806i) q^{67} +(-0.160023 - 0.597215i) q^{68} +(0.338255 + 0.585876i) q^{69} +(-3.08522 - 2.95320i) q^{70} +(-1.78054 + 6.64505i) q^{71} +(-0.500000 - 0.866025i) q^{72} -2.15267i q^{73} +(2.47309 - 1.42784i) q^{74} +(-4.76846 + 1.50394i) q^{75} +(0.927215 + 3.46041i) q^{76} +(-2.93600 + 2.93600i) q^{77} +(3.26003 - 1.54019i) q^{78} -5.11418i q^{79} +(-0.625808 - 2.14671i) q^{80} +(0.500000 - 0.866025i) q^{81} +(7.83418 + 2.09916i) q^{82} -3.84261 q^{83} +(1.84489 + 0.494337i) q^{84} +(1.18190 - 0.717266i) q^{85} +(-2.46344 + 2.46344i) q^{86} +(-0.875916 + 3.26896i) q^{87} +(-2.09985 + 0.562653i) q^{88} +(0.804636 - 0.215602i) q^{89} +(1.54620 - 1.61532i) q^{90} +(-2.32274 + 6.48296i) q^{91} +(-0.478365 - 0.478365i) q^{92} +(0.489200 - 0.847320i) q^{93} +(-9.39693 - 5.42532i) q^{94} +(-6.84825 + 4.15602i) q^{95} +(0.707107 + 0.707107i) q^{96} +(15.8707 - 9.16293i) q^{97} +(2.90293 - 1.67601i) q^{98} +(-1.53720 - 1.53720i) 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 $\left(\mathbb{Z}/390\mathbb{Z}\right)^\times$.

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{11}{12}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$3$	−0.258819	−	0.965926i	−0.149429	−	0.557678i
$3$	−0.258819	−	0.965926i	−0.149429	−	0.557678i
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	−1.54620	+	1.61532i	−0.691482	+	0.722393i
$5$	−1.54620	+	1.61532i	−0.691482	+	0.722393i
$6$	0.258819	−	0.965926i	0.105662	−	0.394338i
$7$	0.954985	+	1.65408i	0.360951	+	0.625185i	0.988118	−	0.153700i	$-0.0491190\pi$
$7$	0.954985	+	1.65408i	0.360951	+	0.625185i	−0.627167	+	0.778885i	$0.715786\pi$
$8$			1.00000i			0.353553i
$9$	−0.866025	+	0.500000i	−0.288675	+	0.166667i
$10$	−2.14671	+	0.625808i	−0.678849	+	0.197898i
$11$	0.562653	+	2.09985i	0.169646	+	0.633128i	0.997402	+	0.0720394i	$0.0229507\pi$
$11$	0.562653	+	2.09985i	0.169646	+	0.633128i	−0.827756	+	0.561089i	$0.810383\pi$
$12$	0.707107	−	0.707107i	0.204124	−	0.204124i
$13$	2.33147	+	2.75032i	0.646633	+	0.762801i
$13$	2.33147	+	2.75032i	0.646633	+	0.762801i
$14$			1.90997i			0.510461i
$15$	1.96047	+	1.07544i	0.506190	+	0.277677i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−0.597215	−	0.160023i	−0.144846	−	0.0388114i	0.185668	−	0.982613i	$-0.440555\pi$
$17$	−0.597215	−	0.160023i	−0.144846	−	0.0388114i	−0.330514	+	0.943801i	$0.607222\pi$
$18$	−1.00000			−0.235702
$19$	3.46041	+	0.927215i	0.793874	+	0.212718i	0.632892	−	0.774240i	$-0.281868\pi$
$19$	3.46041	+	0.927215i	0.793874	+	0.212718i	0.160981	+	0.986957i	$0.448534\pi$
$20$	−2.17201	−	0.531389i	−0.485676	−	0.118822i
$21$	1.35055	−	1.35055i	0.294715	−	0.294715i
$22$	−0.562653	+	2.09985i	−0.119958	+	0.447689i
$23$	−0.653459	+	0.175094i	−0.136256	+	0.0365096i	−0.326302	−	0.945265i	$-0.605803\pi$
$23$	−0.653459	+	0.175094i	−0.136256	+	0.0365096i	0.190047	+	0.981775i	$0.439136\pi$
$24$	0.965926	−	0.258819i	0.197169	−	0.0528312i
$25$	−0.218523	−	4.99522i	−0.0437047	−	0.999044i
$26$	0.643951	+	3.54758i	0.126289	+	0.695738i
$27$	0.707107	+	0.707107i	0.136083	+	0.136083i
$28$	−0.954985	+	1.65408i	−0.180475	+	0.312592i
$29$	−2.93087	−	1.69214i	−0.544249	−	0.314222i	0.202550	−	0.979272i	$-0.435077\pi$
$29$	−2.93087	−	1.69214i	−0.544249	−	0.314222i	−0.746799	+	0.665050i	$0.768410\pi$
$30$	1.16009	+	1.91159i	0.211803	+	0.349007i
$31$	0.691834	+	0.691834i	0.124257	+	0.124257i	0.766501	−	0.642244i	$-0.221996\pi$
$31$	0.691834	+	0.691834i	0.124257	+	0.124257i	−0.642244	+	0.766501i	$0.721996\pi$
$32$	−0.866025	+	0.500000i	−0.153093	+	0.0883883i
$33$	1.88267	−	1.08696i	0.327731	−	0.189216i
$34$	−0.437192	−	0.437192i	−0.0749778	−	0.0749778i
$35$	−4.14847	−	1.01494i	−0.701220	−	0.171556i
$36$	−0.866025	−	0.500000i	−0.144338	−	0.0833333i
$37$	1.42784	−	2.47309i	0.234735	−	0.406573i	−0.724460	−	0.689316i	$-0.757911\pi$
$37$	1.42784	−	2.47309i	0.234735	−	0.406573i	0.959196	+	0.282743i	$0.0912443\pi$
$38$	2.53320	+	2.53320i	0.410939	+	0.410939i
$39$	2.05318	−	2.96386i	0.328771	−	0.474598i
$40$	−1.61532	−	1.54620i	−0.255405	−	0.244476i
$41$	7.83418	−	2.09916i	1.22349	−	0.327834i	0.411450	−	0.911432i	$-0.365022\pi$
$41$	7.83418	−	2.09916i	1.22349	−	0.327834i	0.812043	+	0.583598i	$0.198356\pi$
$42$	1.84489	−	0.494337i	0.284673	−	0.0762778i
$43$	−0.901681	+	3.36512i	−0.137505	+	0.513176i	0.862470	+	0.506108i	$0.168916\pi$
$43$	−0.901681	+	3.36512i	−0.137505	+	0.513176i	−0.999975	+	0.00706771i	$0.997750\pi$
$44$	−1.53720	+	1.53720i	−0.231741	+	0.231741i
$45$	0.531389	−	2.17201i	0.0792148	−	0.323784i
$46$	−0.653459	−	0.175094i	−0.0963473	−	0.0258162i
$47$	−10.8506			−1.58273			−0.791365	−	0.611344i	$-0.790629\pi$
$47$	−10.8506			−1.58273			−0.791365	+	0.611344i	$0.790629\pi$
$48$	0.965926	+	0.258819i	0.139419	+	0.0373573i
$49$	1.67601	−	2.90293i	0.239429	−	0.414704i
$50$	2.30836	−	4.43525i	0.326452	−	0.627239i
$51$			0.618283i			0.0865769i
$52$	−1.21611	+	3.39427i	−0.168644	+	0.470701i
$53$	−1.54550	+	1.54550i	−0.212290	+	0.212290i	−0.805240	−	0.592949i	$-0.797963\pi$
$53$	−1.54550	+	1.54550i	−0.212290	+	0.212290i	0.592949	+	0.805240i	$0.297963\pi$
$54$	0.258819	+	0.965926i	0.0352208	+	0.131446i
$55$	−4.26190	−	2.33792i	−0.574675	−	0.315246i
$56$	−1.65408	+	0.954985i	−0.221036	+	0.127615i
$57$		−	3.58249i		−	0.474512i
$58$	−1.69214	−	2.93087i	−0.222189	−	0.384842i
$59$	3.75207	−	14.0029i	0.488478	−	1.82302i	−0.0753830	−	0.997155i	$-0.524018\pi$
$59$	3.75207	−	14.0029i	0.488478	−	1.82302i	0.563861	−	0.825870i	$-0.309315\pi$
$60$	0.0488750	+	2.23553i	0.00630973	+	0.288606i
$61$	−2.85745	−	4.94925i	−0.365859	−	0.633687i	0.623055	−	0.782178i	$-0.285891\pi$
$61$	−2.85745	−	4.94925i	−0.365859	−	0.633687i	−0.988914	+	0.148492i	$0.952558\pi$
$62$	0.253229	+	0.945063i	0.0321601	+	0.120023i
$63$	−1.65408	−	0.954985i	−0.208395	−	0.120317i
$64$	−1.00000			−0.125000
$65$	−8.04757	−	0.486477i	−0.998178	−	0.0603401i
$66$	2.17392			0.267591
$67$	5.07155	+	2.92806i	0.619588	+	0.357719i	0.776709	−	0.629860i	$-0.216888\pi$
$67$	5.07155	+	2.92806i	0.619588	+	0.357719i	−0.157120	+	0.987579i	$0.550221\pi$
$68$	−0.160023	−	0.597215i	−0.0194057	−	0.0724230i
$69$	0.338255	+	0.585876i	0.0407212	+	0.0705311i
$70$	−3.08522	−	2.95320i	−0.368754	−	0.352975i
$71$	−1.78054	+	6.64505i	−0.211311	+	0.788622i	0.776122	+	0.630583i	$0.217184\pi$
$71$	−1.78054	+	6.64505i	−0.211311	+	0.788622i	−0.987433	+	0.158039i	$0.949483\pi$
$72$	−0.500000	−	0.866025i	−0.0589256	−	0.102062i
$73$		−	2.15267i		−	0.251951i	−0.992033	−	0.125976i	$-0.959794\pi$
$73$		−	2.15267i		−	0.251951i	0.992033	−	0.125976i	$-0.0402061\pi$
$74$	2.47309	−	1.42784i	0.287491	−	0.165983i
$75$	−4.76846	+	1.50394i	−0.550614	+	0.173660i
$76$	0.927215	+	3.46041i	0.106359	+	0.396937i
$77$	−2.93600	+	2.93600i	−0.334588	+	0.334588i
$78$	3.26003	−	1.54019i	0.369126	−	0.174392i
$79$		−	5.11418i		−	0.575390i	−0.957722	−	0.287695i	$-0.907111\pi$
$79$		−	5.11418i		−	0.575390i	0.957722	−	0.287695i	$-0.0928890\pi$
$80$	−0.625808	−	2.14671i	−0.0699675	−	0.240009i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	7.83418	+	2.09916i	0.865140	+	0.231814i
$83$	−3.84261			−0.421781			−0.210891	−	0.977510i	$-0.567636\pi$
$83$	−3.84261			−0.421781			−0.210891	+	0.977510i	$0.567636\pi$
$84$	1.84489	+	0.494337i	0.201294	+	0.0539366i
$85$	1.18190	−	0.717266i	0.128196	−	0.0777984i
$86$	−2.46344	+	2.46344i	−0.265639	+	0.265639i
$87$	−0.875916	+	3.26896i	−0.0939080	+	0.350470i
$88$	−2.09985	+	0.562653i	−0.223845	+	0.0599790i
$89$	0.804636	−	0.215602i	0.0852912	−	0.0228537i	−0.215921	−	0.976411i	$-0.569275\pi$
$89$	0.804636	−	0.215602i	0.0852912	−	0.0228537i	0.301212	+	0.953557i	$0.402609\pi$
$90$	1.54620	−	1.61532i	0.162984	−	0.170270i
$91$	−2.32274	+	6.48296i	−0.243489	+	0.679599i
$92$	−0.478365	−	0.478365i	−0.0498730	−	0.0498730i
$93$	0.489200	−	0.847320i	0.0507277	−	0.0878630i
$94$	−9.39693	−	5.42532i	−0.969220	−	0.559579i
$95$	−6.84825	+	4.15602i	−0.702615	+	0.426399i
$96$	0.707107	+	0.707107i	0.0721688	+	0.0721688i
$97$	15.8707	−	9.16293i	1.61142	−	0.930354i	0.622380	−	0.782715i	$-0.286166\pi$
$97$	15.8707	−	9.16293i	1.61142	−	0.930354i	0.989041	−	0.147639i	$-0.0471674\pi$
$98$	2.90293	−	1.67601i	0.293240	−	0.169302i
$99$	−1.53720	−	1.53720i	−0.154494	−	0.154494i
$100$	4.21673	−	2.68686i	0.421673	−	0.268686i
$101$	14.6508	+	8.45864i	1.45781	+	0.841666i	0.998903	−	0.0468187i	$-0.0149083\pi$
$101$	14.6508	+	8.45864i	1.45781	+	0.841666i	0.458906	+	0.888485i	$0.348242\pi$
$102$	−0.309141	+	0.535449i	−0.0306096	+	0.0530173i
$103$	−3.60087	−	3.60087i	−0.354804	−	0.354804i	0.507090	−	0.861893i	$-0.330721\pi$
$103$	−3.60087	−	3.60087i	−0.354804	−	0.354804i	−0.861893	+	0.507090i	$0.830721\pi$
$104$	−2.75032	+	2.33147i	−0.269691	+	0.228619i
$105$	0.0933498	+	4.26980i	0.00911001	+	0.416690i
$106$	−2.11119	+	0.565691i	−0.205057	+	0.0549448i
$107$	−9.21566	+	2.46933i	−0.890911	+	0.238719i	−0.675109	−	0.737718i	$-0.735903\pi$
$107$	−9.21566	+	2.46933i	−0.890911	+	0.238719i	−0.215802	+	0.976437i	$0.569237\pi$
$108$	−0.258819	+	0.965926i	−0.0249049	+	0.0929463i
$109$	9.88219	−	9.88219i	0.946542	−	0.946542i	−0.0520997	−	0.998642i	$-0.516591\pi$
$109$	9.88219	−	9.88219i	0.946542	−	0.946542i	0.998642	+	0.0520997i	$0.0165914\pi$
$110$	−2.52196	−	4.15565i	−0.240459	−	0.396226i
$111$	−2.75837	−	0.739104i	−0.261813	−	0.0701526i
$112$	−1.90997			−0.180475
$113$	−13.0170	−	3.48791i	−1.22454	−	0.328115i	−0.412089	−	0.911144i	$-0.635201\pi$
$113$	−13.0170	−	3.48791i	−1.22454	−	0.328115i	−0.812451	+	0.583029i	$0.801867\pi$
$114$	1.79124	−	3.10252i	0.167765	−	0.290578i
$115$	0.727547	−	1.32628i	0.0678441	−	0.123676i
$116$		−	3.38428i		−	0.314222i
$117$	−3.39427	−	1.21611i	−0.313800	−	0.112430i
$118$	10.2508	−	10.2508i	0.943667	−	0.943667i
$119$	−0.305640	−	1.14066i	−0.0280180	−	0.104564i
$120$	−1.07544	+	1.96047i	−0.0981738	+	0.178965i
$121$	5.43349	−	3.13703i	0.493954	−	0.285184i
$122$		−	5.71490i		−	0.517403i
$123$	−4.05527	−	7.02393i	−0.365651	−	0.633327i
$124$	−0.253229	+	0.945063i	−0.0227406	+	0.0848691i
$125$	8.40677	+	7.37063i	0.751924	+	0.659250i
$126$	−0.954985	−	1.65408i	−0.0850769	−	0.147357i
$127$	3.55123	+	13.2534i	0.315121	+	1.17605i	0.923877	+	0.382690i	$0.125002\pi$
$127$	3.55123	+	13.2534i	0.315121	+	1.17605i	−0.608756	+	0.793357i	$0.708331\pi$
$128$	−0.866025	−	0.500000i	−0.0765466	−	0.0441942i
$129$	3.48383			0.306734
$130$	−6.72616	−	4.44509i	−0.589923	−	0.389860i
$131$	16.6377			1.45364			0.726820	−	0.686828i	$-0.240997\pi$
$131$	16.6377			1.45364			0.726820	+	0.686828i	$0.240997\pi$
$132$	1.88267	+	1.08696i	0.163866	+	0.0946079i
$133$	1.77095	+	6.60929i	0.153561	+	0.573098i
$134$	2.92806	+	5.07155i	0.252946	+	0.438115i
$135$	−2.23553	+	0.0488750i	−0.192404	+	0.00420649i
$136$	0.160023	−	0.597215i	0.0137219	−	0.0512108i
$137$	−4.12352	−	7.14214i	−0.352296	−	0.610195i	0.634355	−	0.773042i	$-0.281266\pi$
$137$	−4.12352	−	7.14214i	−0.352296	−	0.610195i	−0.986651	+	0.162847i	$0.947932\pi$
$138$			0.676511i			0.0575884i
$139$	12.7043	−	7.33484i	1.07757	−	0.622133i	0.147328	−	0.989088i	$-0.452933\pi$
$139$	12.7043	−	7.33484i	1.07757	−	0.622133i	0.930239	+	0.366954i	$0.119599\pi$
$140$	−1.19528	−	4.10015i	−0.101019	−	0.346526i
$141$	2.80835	+	10.4809i	0.236506	+	0.882653i
$142$	−4.86451	+	4.86451i	−0.408221	+	0.408221i
$143$	−4.46345	+	6.44321i	−0.373252	+	0.538808i
$144$		−	1.00000i		−	0.0833333i
$145$	7.26507	−	2.11791i	0.603331	−	0.175883i
$146$	1.07634	−	1.86427i	0.0890782	−	0.154288i
$147$	−3.23780	−	0.867565i	−0.267049	−	0.0715555i
$148$	2.85568			0.234735
$149$	12.3571	+	3.31108i	1.01233	+	0.271254i	0.726605	−	0.687056i	$-0.241097\pi$
$149$	12.3571	+	3.31108i	1.01233	+	0.271254i	0.285730	+	0.958310i	$0.407764\pi$
$150$	−4.88157	−	1.08178i	−0.398579	−	0.0883271i
$151$	−14.5027	+	14.5027i	−1.18021	+	1.18021i	−0.200521	+	0.979690i	$0.564263\pi$
$151$	−14.5027	+	14.5027i	−1.18021	+	1.18021i	−0.979690	+	0.200521i	$0.935737\pi$
$152$	−0.927215	+	3.46041i	−0.0752071	+	0.280677i
$153$	0.597215	−	0.160023i	0.0482820	−	0.0129371i
$154$	−4.01065	+	1.07465i	−0.323187	+	0.0865978i
$155$	−2.18725	+	0.0478193i	−0.175684	+	0.00384094i
$156$	3.59337	+	0.296172i	0.287700	+	0.0237128i
$157$	6.10791	+	6.10791i	0.487464	+	0.487464i	0.907505	−	0.420041i	$-0.137984\pi$
$157$	6.10791	+	6.10791i	0.487464	+	0.487464i	−0.420041	+	0.907505i	$0.637984\pi$
$158$	2.55709	−	4.42901i	0.203431	−	0.352353i
$159$	1.89284	+	1.09283i	0.150112	+	0.0866672i
$160$	0.531389	−	2.17201i	0.0420100	−	0.171712i
$161$	−0.913664	−	0.913664i	−0.0720068	−	0.0720068i
$162$	0.866025	−	0.500000i	0.0680414	−	0.0392837i
$163$	−9.09558	+	5.25134i	−0.712421	+	0.411316i	−0.811957	−	0.583718i	$-0.801598\pi$
$163$	−9.09558	+	5.25134i	−0.712421	+	0.411316i	0.0995359	+	0.995034i	$0.468264\pi$
$164$	5.73502	+	5.73502i	0.447830	+	0.447830i
$165$	−1.15520	+	4.72178i	−0.0899321	+	0.367590i
$166$	−3.32780	−	1.92131i	−0.258287	−	0.149122i
$167$	3.47597	−	6.02056i	0.268979	−	0.465885i	−0.699620	−	0.714516i	$-0.746647\pi$
$167$	3.47597	−	6.02056i	0.268979	−	0.465885i	0.968598	+	0.248630i	$0.0799805\pi$
$168$	1.35055	+	1.35055i	0.104197	+	0.104197i
$169$	−2.12851	+	12.8246i	−0.163732	+	0.986505i
$170$	1.38219	−	0.0302186i	0.106009	−	0.00231766i
$171$	−3.46041	+	0.927215i	−0.264625	+	0.0709059i
$172$	−3.36512	+	0.901681i	−0.256588	+	0.0687526i
$173$	−3.41066	+	12.7288i	−0.259308	+	0.967750i	0.706335	+	0.707877i	$0.250347\pi$
$173$	−3.41066	+	12.7288i	−0.259308	+	0.967750i	−0.965643	+	0.259872i	$0.916320\pi$
$174$	−2.39305	+	2.39305i	−0.181416	+	0.181416i
$175$	8.05383	−	5.13182i	0.608812	−	0.387929i
$176$	−2.09985	−	0.562653i	−0.158282	−	0.0424115i
$177$	−14.4969			−1.08965
$178$	0.804636	+	0.215602i	0.0603100	+	0.0161600i
$179$	−8.17918	+	14.1668i	−0.611341	+	1.05887i	0.379674	+	0.925120i	$0.376036\pi$
$179$	−8.17918	+	14.1668i	−0.611341	+	1.05887i	−0.991015	+	0.133753i	$0.957297\pi$
$180$	2.14671	−	0.625808i	0.160006	−	0.0466450i
$181$		−	10.7578i		−	0.799622i	−0.916598	−	0.399811i	$-0.869076\pi$
$181$		−	10.7578i		−	0.799622i	0.916598	−	0.399811i	$-0.130924\pi$
$182$	−5.25303	+	4.45304i	−0.389380	+	0.330081i
$183$	−4.04105	+	4.04105i	−0.298723	+	0.298723i
$184$	−0.175094	−	0.653459i	−0.0129081	−	0.0481737i
$185$	1.78711	+	6.13031i	0.131391	+	0.450710i
$186$	0.847320	−	0.489200i	0.0621285	−	0.0358699i
$187$		−	1.34410i		−	0.0982903i
$188$	−5.42532	−	9.39693i	−0.395682	−	0.685342i
$189$	−0.494337	+	1.84489i	−0.0359577	+	0.134196i
$190$	−8.00877	+	0.175094i	−0.581017	+	0.0127026i
$191$	−12.2705	−	21.2531i	−0.887859	−	1.53782i	−0.842401	−	0.538851i	$-0.818859\pi$
$191$	−12.2705	−	21.2531i	−0.887859	−	1.53782i	−0.0454580	−	0.998966i	$-0.514475\pi$
$192$	0.258819	+	0.965926i	0.0186787	+	0.0697097i
$193$	−16.3849	−	9.45984i	−1.17941	−	0.680934i	−0.223534	−	0.974696i	$-0.571759\pi$
$193$	−16.3849	−	9.45984i	−1.17941	−	0.680934i	−0.955879	+	0.293762i	$0.905093\pi$
$194$	18.3259			1.31572
$195$	1.61296	+	7.89926i	0.115507	+	0.565678i
$196$	3.35201			0.239429
$197$	18.6844	+	10.7874i	1.33121	+	0.768573i	0.985485	−	0.169763i	$-0.0543003\pi$
$197$	18.6844	+	10.7874i	1.33121	+	0.768573i	0.345723	+	0.938337i	$0.387634\pi$
$198$	−0.562653	−	2.09985i	−0.0399860	−	0.149230i
$199$	−11.5656	−	20.0322i	−0.819863	−	1.42004i	−0.905783	−	0.423742i	$-0.860716\pi$
$199$	−11.5656	−	20.0322i	−0.819863	−	1.42004i	0.0859199	−	0.996302i	$-0.472617\pi$
$200$	4.99522	−	0.218523i	0.353216	−	0.0154519i
$201$	1.51568	−	5.65658i	0.106907	−	0.398984i
$202$	8.45864	+	14.6508i	0.595148	+	1.03083i
$203$		−	6.46387i		−	0.453675i
$204$	−0.535449	+	0.309141i	−0.0374889	+	0.0216442i
$205$	−8.72240	+	15.9004i	−0.609199	+	1.11053i
$206$	−1.31801	−	4.91887i	−0.0918300	−	0.342714i
$207$	0.478365	−	0.478365i	0.0332487	−	0.0332487i
$208$	−3.54758	+	0.643951i	−0.245980	+	0.0446500i
$209$			7.78805i			0.538711i
$210$	−2.05406	+	3.74443i	−0.141744	+	0.258390i
$211$	−12.8509	+	22.2584i	−0.884692	+	1.53233i	−0.0386248	+	0.999254i	$0.512298\pi$
$211$	−12.8509	+	22.2584i	−0.884692	+	1.53233i	−0.846067	+	0.533077i	$0.821036\pi$
$212$	−2.11119	−	0.565691i	−0.144997	−	0.0388518i
$213$	6.87946			0.471373
$214$	−9.21566	−	2.46933i	−0.629969	−	0.168800i
$215$	−4.04157	−	6.65966i	−0.275633	−	0.454185i
$216$	−0.707107	+	0.707107i	−0.0481125	+	0.0481125i
$217$	−0.483659	+	1.80504i	−0.0328329	+	0.122534i
$218$	13.4993	−	3.61713i	0.914290	−	0.244983i
$219$	−2.07932	+	0.557152i	−0.140507	+	0.0376489i
$220$	−0.106250	−	4.85988i	−0.00716341	−	0.327653i
$221$	−0.952273	−	2.01562i	−0.0640568	−	0.135585i
$222$	−2.01927	−	2.01927i	−0.135524	−	0.135524i
$223$	−13.7768	+	23.8621i	−0.922563	+	1.59793i	−0.127129	+	0.991886i	$0.540576\pi$
$223$	−13.7768	+	23.8621i	−0.922563	+	1.59793i	−0.795434	+	0.606040i	$0.792757\pi$
$224$	−1.65408	−	0.954985i	−0.110518	−	0.0638076i
$225$	2.68686	+	4.21673i	0.179124	+	0.281115i
$226$	−9.52913	−	9.52913i	−0.633869	−	0.633869i
$227$	5.92789	−	3.42247i	0.393448	−	0.227157i	−0.290205	−	0.956964i	$-0.593724\pi$
$227$	5.92789	−	3.42247i	0.393448	−	0.227157i	0.683653	+	0.729807i	$0.260390\pi$
$228$	3.10252	−	1.79124i	0.205470	−	0.118628i
$229$	13.6008	+	13.6008i	0.898766	+	0.898766i	0.995327	−	0.0965608i	$-0.0307842\pi$
$229$	13.6008	+	13.6008i	0.898766	+	0.898766i	−0.0965608	+	0.995327i	$0.530784\pi$
$230$	1.29321	−	0.784816i	0.0852719	−	0.0517492i
$231$	3.59585	+	2.07606i	0.236590	+	0.136595i
$232$	1.69214	−	2.93087i	0.111094	−	0.192421i
$233$	−6.74979	−	6.74979i	−0.442194	−	0.442194i	0.450555	−	0.892749i	$-0.351226\pi$
$233$	−6.74979	−	6.74979i	−0.442194	−	0.442194i	−0.892749	+	0.450555i	$0.851226\pi$
$234$	−2.33147	−	2.75032i	−0.152413	−	0.179794i
$235$	16.7773	−	17.5273i	1.09443	−	1.14335i
$236$	14.0029	−	3.75207i	0.911512	−	0.244239i
$237$	−4.93992	+	1.32365i	−0.320882	+	0.0859802i
$238$	0.305640	−	1.14066i	0.0198117	−	0.0739383i
$239$	3.90302	−	3.90302i	0.252465	−	0.252465i	−0.569515	−	0.821981i	$-0.692869\pi$
$239$	3.90302	−	3.90302i	0.252465	−	0.252465i	0.821981	+	0.569515i	$0.192869\pi$
$240$	−1.91159	+	1.16009i	−0.123393	+	0.0748837i
$241$	−10.7613	−	2.88348i	−0.693196	−	0.185741i	−0.105015	−	0.994471i	$-0.533489\pi$
$241$	−10.7613	−	2.88348i	−0.693196	−	0.185741i	−0.588181	+	0.808729i	$0.700156\pi$
$242$	6.27406			0.403312
$243$	−0.965926	−	0.258819i	−0.0619642	−	0.0166032i
$244$	2.85745	−	4.94925i	0.182930	−	0.316843i
$245$	2.09772	+	7.19580i	0.134018	+	0.459723i
$246$		−	8.11054i		−	0.517109i
$247$	5.51771	+	11.6790i	0.351083	+	0.743118i
$248$	−0.691834	+	0.691834i	−0.0439315	+	0.0439315i
$249$	0.994541	+	3.71168i	0.0630265	+	0.235218i
$250$	3.59516	+	10.5865i	0.227378	+	0.669552i
$251$	11.9048	−	6.87325i	0.751426	−	0.433836i	−0.0747830	−	0.997200i	$-0.523826\pi$
$251$	11.9048	−	6.87325i	0.751426	−	0.433836i	0.826209	+	0.563364i	$0.190493\pi$
$252$		−	1.90997i		−	0.120317i
$253$	−0.735341	−	1.27365i	−0.0462305	−	0.0800736i
$254$	−3.55123	+	13.2534i	−0.222824	+	0.831591i
$255$	−0.998725	−	0.955990i	−0.0625426	−	0.0598664i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	0.0339269	+	0.126617i	0.00211630	+	0.00789815i	0.966976	−	0.254868i	$-0.0820320\pi$
$257$	0.0339269	+	0.126617i	0.00211630	+	0.00789815i	−0.964860	+	0.262766i	$0.915365\pi$
$258$	3.01708	+	1.74191i	0.187835	+	0.108447i
$259$	5.45426			0.338911
$260$	−3.60248	−	7.21264i	−0.223416	−	0.447309i
$261$	3.38428			0.209482
$262$	14.4086	+	8.31884i	0.890169	+	0.513939i
$263$	4.36534	+	16.2917i	0.269178	+	1.00459i	0.959643	+	0.281221i	$0.0907395\pi$
$263$	4.36534	+	16.2917i	0.269178	+	1.00459i	−0.690465	+	0.723366i	$0.742594\pi$
$264$	1.08696	+	1.88267i	0.0668979	+	0.115871i
$265$	−0.106824	−	4.88612i	−0.00656216	−	0.300152i
$266$	−1.77095	+	6.60929i	−0.108584	+	0.405242i
$267$	−0.416510	−	0.721417i	−0.0254900	−	0.0441500i
$268$			5.85612i			0.357719i
$269$	−4.74801	+	2.74127i	−0.289491	+	0.167138i	−0.637712	−	0.770275i	$-0.720119\pi$
$269$	−4.74801	+	2.74127i	−0.289491	+	0.167138i	0.348221	+	0.937412i	$0.386786\pi$
$270$	−1.96047	−	1.07544i	−0.119310	−	0.0654492i
$271$	1.56093	+	5.82549i	0.0948200	+	0.353873i	0.996992	−	0.0775032i	$-0.0246948\pi$
$271$	1.56093	+	5.82549i	0.0948200	+	0.353873i	−0.902172	+	0.431376i	$0.858028\pi$
$272$	0.437192	−	0.437192i	0.0265087	−	0.0265087i
$273$	6.86322	+	0.565680i	0.415381	+	0.0342365i
$274$		−	8.24704i		−	0.498222i
$275$	10.3663	−	3.26944i	0.625109	−	0.197155i
$276$	−0.338255	+	0.585876i	−0.0203606	+	0.0352656i
$277$	−11.3119	−	3.03101i	−0.679666	−	0.182116i	−0.0975609	−	0.995230i	$-0.531104\pi$
$277$	−11.3119	−	3.03101i	−0.679666	−	0.182116i	−0.582105	+	0.813114i	$0.697771\pi$
$278$	14.6697			0.879830
$279$	−0.945063	−	0.253229i	−0.0565794	−	0.0151604i
$280$	1.01494	−	4.14847i	0.0606541	−	0.247919i
$281$	15.6369	−	15.6369i	0.932818	−	0.932818i	−0.0650632	−	0.997881i	$-0.520725\pi$
$281$	15.6369	−	15.6369i	0.932818	−	0.932818i	0.997881	+	0.0650632i	$0.0207249\pi$
$282$	−2.80835	+	10.4809i	−0.167235	+	0.624130i
$283$	9.26157	−	2.48163i	0.550543	−	0.147518i	0.0271852	−	0.999630i	$-0.491346\pi$
$283$	9.26157	−	2.48163i	0.550543	−	0.147518i	0.523358	+	0.852113i	$0.324679\pi$
$284$	−6.64505	+	1.78054i	−0.394311	+	0.105655i
$285$	5.78686	+	5.53924i	0.342784	+	0.328116i
$286$	−7.08706	+	3.34826i	−0.419067	+	0.197987i
$287$	10.9537	+	10.9537i	0.646577	+	0.646577i
$288$	0.500000	−	0.866025i	0.0294628	−	0.0510310i
$289$	−14.3914	−	8.30886i	−0.846551	−	0.488757i
$290$	7.35069	+	1.79837i	0.431647	+	0.105604i
$291$	−12.9583	−	12.9583i	−0.759631	−	0.759631i
$292$	1.86427	−	1.07634i	0.109098	−	0.0629878i
$293$	9.84550	−	5.68430i	0.575180	−	0.332080i	−0.184035	−	0.982920i	$-0.558916\pi$
$293$	9.84550	−	5.68430i	0.575180	−	0.332080i	0.759216	+	0.650839i	$0.225583\pi$
$294$	−2.37023	−	2.37023i	−0.138235	−	0.138235i
$295$	16.8177	+	27.7121i	0.979167	+	1.61346i
$296$	2.47309	+	1.42784i	0.143745	+	0.0829915i
$297$	−1.08696	+	1.88267i	−0.0630719	+	0.109244i
$298$	9.04604	+	9.04604i	0.524023	+	0.524023i
$299$	−2.00508	−	1.38900i	−0.115957	−	0.0803277i
$300$	−3.68668	−	3.37764i	−0.212850	−	0.195008i
$301$	−6.42728	+	1.72218i	−0.370462	+	0.0992651i
$302$	−19.8110	+	5.30834i	−1.14000	+	0.305461i
$303$	4.37852	−	16.3408i	0.251539	−	0.938757i
$304$	−2.53320	+	2.53320i	−0.145289	+	0.145289i
$305$	12.4128	+	3.03684i	0.710756	+	0.173889i
$306$	0.597215	+	0.160023i	0.0341405	+	0.00914793i
$307$	−17.1833			−0.980702			−0.490351	−	0.871525i	$-0.663131\pi$
$307$	−17.1833			−0.980702			−0.490351	+	0.871525i	$0.663131\pi$
$308$	−4.01065	−	1.07465i	−0.228528	−	0.0612339i
$309$	−2.54620	+	4.41014i	−0.144848	+	0.250884i
$310$	−1.91812	−	1.05221i	−0.108942	−	0.0597616i
$311$		−	16.2305i		−	0.920347i	−0.887829	−	0.460174i	$-0.847787\pi$
$311$		−	16.2305i		−	0.920347i	0.887829	−	0.460174i	$-0.152213\pi$
$312$	2.96386	+	2.05318i	0.167796	+	0.116238i
$313$	−14.8660	+	14.8660i	−0.840275	+	0.840275i	−0.988894	−	0.148620i	$-0.952517\pi$
$313$	−14.8660	+	14.8660i	−0.840275	+	0.840275i	0.148620	+	0.988894i	$0.452517\pi$
$314$	2.23565	+	8.34356i	0.126165	+	0.470854i
$315$	4.10015	−	1.19528i	0.231017	−	0.0673461i
$316$	4.42901	−	2.55709i	0.249151	−	0.143848i
$317$		−	32.9862i		−	1.85269i	−0.376676	−	0.926345i	$-0.622933\pi$
$317$		−	32.9862i		−	1.85269i	0.376676	−	0.926345i	$-0.377067\pi$
$318$	1.09283	+	1.89284i	0.0612830	+	0.106145i
$319$	1.90417	−	7.10647i	0.106613	−	0.397886i
$320$	1.54620	−	1.61532i	0.0864353	−	0.0902992i
$321$	4.77038	+	8.26253i	0.266256	+	0.461170i
$322$	−0.334424	−	1.24809i	−0.0186367	−	0.0695532i
$323$	−1.91824	−	1.10749i	−0.106734	−	0.0616226i
$324$	1.00000			0.0555556
$325$	13.2290	−	12.2472i	0.733812	−	0.679353i
$326$	−10.5027			−0.581689
$327$	−12.1032	−	6.98776i	−0.669306	−	0.386424i
$328$	2.09916	+	7.83418i	0.115907	+	0.432570i
$329$	−10.3622	−	17.9479i	−0.571287	−	0.989498i
$330$	−3.36132	+	3.51158i	−0.185035	+	0.193306i
$331$	−0.460244	+	1.71765i	−0.0252973	+	0.0944107i	−0.977420	−	0.211304i	$-0.932229\pi$
$331$	−0.460244	+	1.71765i	−0.0252973	+	0.0944107i	0.952123	+	0.305715i	$0.0988955\pi$
$332$	−1.92131	−	3.32780i	−0.105445	−	0.182637i
$333$			2.85568i			0.156490i
$334$	6.02056	−	3.47597i	0.329431	−	0.190197i
$335$	−12.5714	+	3.66481i	−0.686848	+	0.200230i
$336$	0.494337	+	1.84489i	0.0269683	+	0.100647i
$337$	−8.61910	+	8.61910i	−0.469512	+	0.469512i	−0.901757	−	0.432244i	$-0.857722\pi$
$337$	−8.61910	+	8.61910i	−0.469512	+	0.469512i	0.432244	+	0.901757i	$0.357722\pi$
$338$	−8.25563	+	10.0421i	−0.449047	+	0.546221i
$339$			13.4762i			0.731928i
$340$	1.21212	+	0.664926i	0.0657366	+	0.0360607i
$341$	−1.06348	+	1.84201i	−0.0575909	+	0.0997504i
$342$	−3.46041	−	0.927215i	−0.187118	−	0.0501381i
$343$	19.7720			1.06759
$344$	−3.36512	−	0.901681i	−0.181435	−	0.0486154i
$345$	−1.46939	−	0.359491i	−0.0791092	−	0.0193543i
$346$	−9.31810	+	9.31810i	−0.500944	+	0.500944i
$347$	4.58480	−	17.1107i	0.246125	−	0.918550i	−0.726690	−	0.686966i	$-0.758942\pi$
$347$	4.58480	−	17.1107i	0.246125	−	0.918550i	0.972815	−	0.231585i	$-0.0743910\pi$
$348$	−3.26896	+	0.875916i	−0.175235	+	0.0469540i
$349$	−16.2696	+	4.35943i	−0.870892	+	0.233355i	−0.666473	−	0.745529i	$-0.732197\pi$
$349$	−16.2696	+	4.35943i	−0.870892	+	0.233355i	−0.204419	+	0.978884i	$0.565530\pi$
$350$	9.54073	−	0.417373i	0.509973	−	0.0223095i
$351$	−0.296172	+	3.59337i	−0.0158085	+	0.191800i
$352$	−1.53720	−	1.53720i	−0.0819328	−	0.0819328i
$353$	17.3991	−	30.1361i	0.926061	−	1.60398i	0.136215	−	0.990679i	$-0.456506\pi$
$353$	17.3991	−	30.1361i	0.926061	−	1.60398i	0.789846	−	0.613305i	$-0.210160\pi$
$354$	−12.5547	−	7.24844i	−0.667273	−	0.385250i
$355$	−7.98082	−	13.1507i	−0.423578	−	0.697968i
$356$	0.589034	+	0.589034i	0.0312188	+	0.0312188i
$357$	−1.02269	+	0.590451i	−0.0541266	+	0.0312500i
$358$	−14.1668	+	8.17918i	−0.748736	+	0.432283i
$359$	−11.3845	−	11.3845i	−0.600849	−	0.600849i	0.339689	−	0.940538i	$-0.389678\pi$
$359$	−11.3845	−	11.3845i	−0.600849	−	0.600849i	−0.940538	+	0.339689i	$0.889678\pi$
$360$	2.17201	+	0.531389i	0.114475	+	0.0280067i
$361$	−5.33974	−	3.08290i	−0.281039	−	0.162258i
$362$	5.37891	−	9.31654i	0.282709	−	0.489666i
$363$	−4.43643	−	4.43643i	−0.232852	−	0.232852i
$364$	−6.77577	+	1.22993i	−0.355147	+	0.0644657i
$365$	3.47725	+	3.32846i	0.182008	+	0.174220i
$366$	−5.52017	+	1.47913i	−0.288544	+	0.0773151i
$367$	12.8267	−	3.43690i	0.669547	−	0.179405i	0.0919962	−	0.995759i	$-0.470675\pi$
$367$	12.8267	−	3.43690i	0.669547	−	0.179405i	0.577551	+	0.816355i	$0.304009\pi$
$368$	0.175094	−	0.653459i	0.00912740	−	0.0340639i
$369$	−5.73502	+	5.73502i	−0.298553	+	0.298553i
$370$	−1.51748	+	6.20256i	−0.0788898	+	0.322456i
$371$	−4.03231	−	1.08045i	−0.209347	−	0.0560944i
$372$	0.978401			0.0507277
$373$	5.76165	+	1.54383i	0.298327	+	0.0799364i	0.404878	−	0.914371i	$-0.367314\pi$
$373$	5.76165	+	1.54383i	0.298327	+	0.0799364i	−0.106551	+	0.994307i	$0.533981\pi$
$374$	0.672050	−	1.16402i	0.0347509	−	0.0601903i
$375$	4.94365	−	10.0280i	0.255289	−	0.517842i
$376$		−	10.8506i		−	0.559579i
$377$	−2.17931	−	12.0060i	−0.112240	−	0.618341i
$378$	−1.35055	+	1.35055i	−0.0694650	+	0.0694650i
$379$	−2.67271	−	9.97467i	−0.137288	−	0.512365i	−0.999978	−	0.00663207i	$-0.997889\pi$
$379$	−2.67271	−	9.97467i	−0.137288	−	0.512365i	0.862690	−	0.505733i	$-0.168778\pi$
$380$	−7.02334	−	3.85275i	−0.360290	−	0.197642i
$381$	11.8827	−	6.86045i	0.608767	−	0.351472i
$382$		−	24.5409i		−	1.25562i
$383$	2.21446	+	3.83556i	0.113154	+	0.195988i	0.917040	−	0.398795i	$-0.130571\pi$
$383$	2.21446	+	3.83556i	0.113154	+	0.195988i	−0.803886	+	0.594783i	$0.797238\pi$
$384$	−0.258819	+	0.965926i	−0.0132078	+	0.0492922i
$385$	−0.202935	−	9.28223i	−0.0103425	−	0.473066i
$386$	−9.45984	−	16.3849i	−0.481493	−	0.833971i
$387$	−0.901681	−	3.36512i	−0.0458350	−	0.171059i
$388$	15.8707	+	9.16293i	0.805711	+	0.465177i
$389$	1.11411			0.0564874			0.0282437	−	0.999601i	$-0.491009\pi$
$389$	1.11411			0.0564874			0.0282437	+	0.999601i	$0.491009\pi$
$390$	−2.55276	+	7.64744i	−0.129264	+	0.387243i
$391$	0.418275			0.0211531
$392$	2.90293	+	1.67601i	0.146620	+	0.0846511i
$393$	−4.30615	−	16.0708i	−0.217216	−	0.810663i
$394$	10.7874	+	18.6844i	0.543463	+	0.941306i
$395$	8.26105	+	7.90755i	0.415658	+	0.397872i
$396$	0.562653	−	2.09985i	0.0282744	−	0.105521i
$397$	−19.2474	−	33.3374i	−0.965998	−	1.67316i	−0.706910	−	0.707304i	$-0.749911\pi$
$397$	−19.2474	−	33.3374i	−0.965998	−	1.67316i	−0.259088	−	0.965854i	$-0.583422\pi$
$398$		−	23.1312i		−	1.15946i
$399$	5.92573	−	3.42122i	0.296657	−	0.171275i
$400$	4.43525	+	2.30836i	0.221763	+	0.115418i
$401$	2.65088	+	9.89323i	0.132379	+	0.494044i	0.999995	−	0.00319033i	$-0.00101551\pi$
$401$	2.65088	+	9.89323i	0.132379	+	0.494044i	−0.867616	+	0.497235i	$0.834349\pi$
$402$	4.14090	−	4.14090i	0.206529	−	0.206529i
$403$	−0.289775	+	3.51575i	−0.0144347	+	0.175132i
$404$			16.9173i			0.841666i
$405$	0.625808	+	2.14671i	0.0310967	+	0.106671i
$406$	3.23194	−	5.59788i	0.160398	−	0.277818i
$407$	5.99649	+	1.60676i	0.297235	+	0.0796439i
$408$	−0.618283			−0.0306096
$409$	−17.0104	−	4.55794i	−0.841113	−	0.225375i	−0.187557	−	0.982254i	$-0.560057\pi$
$409$	−17.0104	−	4.55794i	−0.841113	−	0.225375i	−0.653556	+	0.756878i	$0.726724\pi$
$410$	−15.5040	+	9.40899i	−0.765690	+	0.464677i
$411$	−5.83154	+	5.83154i	−0.287649	+	0.287649i
$412$	1.31801	−	4.91887i	0.0649336	−	0.242336i
$413$	26.7452	−	7.16634i	1.31604	−	0.352633i
$414$	0.653459	−	0.175094i	0.0321158	−	0.00860540i
$415$	5.94145	−	6.20705i	0.291654	−	0.304692i
$416$	−3.39427	−	1.21611i	−0.166418	−	0.0596248i
$417$	−10.3730	−	10.3730i	−0.507970	−	0.507970i
$418$	−3.89402	+	6.74465i	−0.190463	+	0.329891i
$419$	−5.44338	−	3.14274i	−0.265926	−	0.153533i	0.361109	−	0.932524i	$-0.382398\pi$
$419$	−5.44338	−	3.14274i	−0.265926	−	0.153533i	−0.627035	+	0.778991i	$0.715732\pi$
$420$	−3.65108	+	2.21575i	−0.178155	+	0.108117i
$421$	−18.1111	−	18.1111i	−0.882681	−	0.882681i	0.111125	−	0.993806i	$-0.464554\pi$
$421$	−18.1111	−	18.1111i	−0.882681	−	0.882681i	−0.993806	+	0.111125i	$0.964554\pi$
$422$	−22.2584	+	12.8509i	−1.08352	+	0.625571i
$423$	9.39693	−	5.42532i	0.456895	−	0.263788i
$424$	−1.54550	−	1.54550i	−0.0750560	−	0.0750560i
$425$	−0.668847	+	3.01819i	−0.0324438	+	0.146404i
$426$	5.95779	+	3.43973i	0.288656	+	0.166655i
$427$	5.45765	−	9.45292i	0.264114	−	0.457459i
$428$	−6.74633	−	6.74633i	−0.326096	−	0.326096i
$429$	7.37888	+	2.64373i	0.356256	+	0.127641i
$430$	−0.170272	−	7.78822i	−0.00821125	−	0.375581i
$431$	−11.5686	+	3.09979i	−0.557239	+	0.149312i	−0.526437	−	0.850214i	$-0.676473\pi$
$431$	−11.5686	+	3.09979i	−0.557239	+	0.149312i	−0.0308013	+	0.999526i	$0.509806\pi$
$432$	−0.965926	+	0.258819i	−0.0464731	+	0.0124524i
$433$	9.17258	−	34.2325i	0.440806	−	1.64511i	−0.285972	−	0.958238i	$-0.592316\pi$
$433$	9.17258	−	34.2325i	0.440806	−	1.64511i	0.726778	−	0.686873i	$-0.241017\pi$
$434$	−1.32138	+	1.32138i	−0.0634284	+	0.0634284i
$435$	−3.92608	−	6.46936i	−0.188241	−	0.310182i
$436$	13.4993	+	3.61713i	0.646500	+	0.173229i
$437$	−2.42359			−0.115936
$438$	−2.07932	−	0.557152i	−0.0993538	−	0.0266218i
$439$	−15.1777	+	26.2886i	−0.724394	+	1.25469i	0.234829	+	0.972037i	$0.424547\pi$
$439$	−15.1777	+	26.2886i	−0.724394	+	1.25469i	−0.959223	+	0.282650i	$0.908786\pi$
$440$	2.33792	−	4.26190i	0.111456	−	0.203178i
$441$			3.35201i			0.159620i
$442$	0.183118	−	2.22172i	0.00871005	−	0.105676i
$443$	−19.2254	+	19.2254i	−0.913426	+	0.913426i	−0.996540	−	0.0831145i	$-0.973513\pi$
$443$	−19.2254	+	19.2254i	−0.913426	+	0.913426i	0.0831145	+	0.996540i	$0.473513\pi$
$444$	−0.739104	−	2.75837i	−0.0350763	−	0.130907i
$445$	−0.895863	+	1.63311i	−0.0424680	+	0.0774168i
$446$	−23.8621	+	13.7768i	−1.12990	+	0.652351i
$447$		−	12.7930i		−	0.605090i
$448$	−0.954985	−	1.65408i	−0.0451188	−	0.0781481i
$449$	−3.49720	+	13.0517i	−0.165043	+	0.615948i	0.832992	+	0.553285i	$0.186626\pi$
$449$	−3.49720	+	13.0517i	−0.165043	+	0.615948i	−0.998035	+	0.0626632i	$0.980041\pi$
$450$	0.218523	+	4.99522i	0.0103013	+	0.235477i
$451$	8.81584	+	15.2695i	0.415122	+	0.719012i
$452$	−3.48791	−	13.0170i	−0.164057	−	0.612270i
$453$	17.7621	+	10.2549i	0.834535	+	0.481819i
$454$	6.84494			0.321249
$455$	−6.88063	−	13.7759i	−0.322569	−	0.645825i
$456$	3.58249			0.167765
$457$	−0.198413	−	0.114554i	−0.00928136	−	0.00535859i	0.495352	−	0.868692i	$-0.335039\pi$
$457$	−0.198413	−	0.114554i	−0.00928136	−	0.00535859i	−0.504633	+	0.863334i	$0.668372\pi$
$458$	4.97824	+	18.5790i	0.232618	+	0.868142i
$459$	−0.309141	−	0.535449i	−0.0144295	−	0.0249926i
$460$	1.51236	−	0.0330645i	0.0705143	−	0.00154164i
$461$	−9.53478	+	35.5843i	−0.444079	+	1.65733i	0.274278	+	0.961651i	$0.411561\pi$
$461$	−9.53478	+	35.5843i	−0.444079	+	1.65733i	−0.718357	+	0.695675i	$0.755105\pi$
$462$	2.07606	+	3.59585i	0.0965873	+	0.167294i
$463$		−	0.0626597i		−	0.00291205i	−0.999999	−	0.00145602i	$-0.999537\pi$
$463$		−	0.0626597i		−	0.00291205i	0.999999	−	0.00145602i	$-0.000463467\pi$
$464$	2.93087	−	1.69214i	0.136062	−	0.0785556i
$465$	0.612291	+	2.10034i	0.0283943	+	0.0974011i
$466$	−2.47060	−	9.22039i	−0.114448	−	0.427126i
$467$	−12.4618	+	12.4618i	−0.576663	+	0.576663i	−0.933982	−	0.357319i	$-0.883691\pi$
$467$	−12.4618	+	12.4618i	−0.576663	+	0.576663i	0.357319	+	0.933982i	$0.383691\pi$
$468$	−0.643951	−	3.54758i	−0.0297667	−	0.163987i
$469$			11.1850i			0.516476i
$470$	23.2932	−	6.79042i	1.07443	−	0.313219i
$471$	4.31894	−	7.48063i	0.199006	−	0.344689i
$472$	14.0029	+	3.75207i	0.644536	+	0.172703i
$473$	−7.57358			−0.348233
$474$	−4.93992	−	1.32365i	−0.226898	−	0.0607972i
$475$	3.87547	−	17.4882i	0.177819	−	0.802412i
$476$	0.835024	−	0.835024i	0.0382733	−	0.0382733i
$477$	0.565691	−	2.11119i	0.0259012	−	0.0966647i
$478$	5.33162	−	1.42860i	0.243863	−	0.0653428i
$479$	4.71886	−	1.26441i	0.215610	−	0.0577726i	−0.149397	−	0.988777i	$-0.547733\pi$
$479$	4.71886	−	1.26441i	0.215610	−	0.0577726i	0.365007	+	0.931005i	$0.381067\pi$
$480$	−2.23553	+	0.0488750i	−0.102038	+	0.00223083i
$481$	10.1307	−	1.83892i	0.461922	−	0.0838474i
$482$	−7.87782	−	7.87782i	−0.358825	−	0.358825i
$483$	−0.646058	+	1.11901i	−0.0293967	+	0.0509165i
$484$	5.43349	+	3.13703i	0.246977	+	0.142592i
$485$	−9.73816	+	39.8039i	−0.442187	+	1.80740i
$486$	−0.707107	−	0.707107i	−0.0320750	−	0.0320750i
$487$	16.8761	−	9.74340i	0.764728	−	0.441516i	−0.0662630	−	0.997802i	$-0.521108\pi$
$487$	16.8761	−	9.74340i	0.764728	−	0.441516i	0.830991	+	0.556287i	$0.187774\pi$
$488$	4.94925	−	2.85745i	0.224042	−	0.129351i
$489$	7.42651	+	7.42651i	0.335838	+	0.335838i
$490$	−1.78122	+	7.28060i	−0.0804674	+	0.328904i
$491$	23.5658	+	13.6057i	1.06351	+	0.614017i	0.926401	−	0.376540i	$-0.122886\pi$
$491$	23.5658	+	13.6057i	1.06351	+	0.614017i	0.137107	+	0.990556i	$0.456219\pi$
$492$	4.05527	−	7.02393i	0.182826	−	0.316663i
$493$	1.47958	+	1.47958i	0.0666369	+	0.0666369i
$494$	−1.06103	+	12.8732i	−0.0477381	+	0.579192i
$495$	4.85988	−	0.106250i	0.218435	−	0.00477560i
$496$	−0.945063	+	0.253229i	−0.0424346	+	0.0113703i
$497$	−12.6918	+	3.40077i	−0.569307	+	0.152545i
$498$	−0.994541	+	3.71168i	−0.0445664	+	0.166324i
$499$	−11.1781	+	11.1781i	−0.500399	+	0.500399i	−0.911562	−	0.411163i	$-0.865123\pi$
$499$	−11.1781	+	11.1781i	−0.500399	+	0.500399i	0.411163	+	0.911562i	$0.365123\pi$
$500$	−2.17977	+	10.9658i	−0.0974824	+	0.490405i
$501$	−6.71506	−	1.79930i	−0.300007	−	0.0803866i
$502$	13.7465			0.613537
$503$	4.06591	+	1.08946i	0.181290	+	0.0485764i	0.348322	−	0.937375i	$-0.386752\pi$
$503$	4.06591	+	1.08946i	0.181290	+	0.0485764i	−0.167032	+	0.985951i	$0.553418\pi$
$504$	0.954985	−	1.65408i	0.0425384	−	0.0736787i
$505$	−36.3165	+	10.5870i	−1.61606	+	0.471114i
$506$		−	1.47068i		−	0.0653798i
$507$	12.9385	−	1.26326i	0.574618	−	0.0561032i
$508$	−9.70214	+	9.70214i	−0.430463	+	0.430463i
$509$	−9.73121	−	36.3174i	−0.431328	−	1.60974i	−0.749703	−	0.661774i	$-0.769804\pi$
$509$	−9.73121	−	36.3174i	−0.431328	−	1.60974i	0.318375	−	0.947965i	$-0.396863\pi$
$510$	−0.386927	−	1.32727i	−0.0171334	−	0.0587727i
$511$	3.56070	−	2.05577i	0.157516	−	0.0909419i
$512$		−	1.00000i		−	0.0441942i
$513$	1.79124	+	3.10252i	0.0790853	+	0.136980i
$514$	−0.0339269	+	0.126617i	−0.00149645	+	0.00558484i
$515$	11.3842	−	0.248891i	0.501648	−	0.0109674i
$516$	1.74191	+	3.01708i	0.0766835	+	0.132820i
$517$	−6.10515	−	22.7847i	−0.268504	−	1.00207i
$518$	4.72353	+	2.72713i	0.207540	+	0.119823i
$519$	13.1778			0.578440
$520$	0.486477	−	8.04757i	0.0213334	−	0.352909i
$521$	0.544187			0.0238413			0.0119206	−	0.999929i	$-0.496205\pi$
$521$	0.544187			0.0238413			0.0119206	+	0.999929i	$0.496205\pi$
$522$	2.93087	+	1.69214i	0.128281	+	0.0740629i
$523$	−0.351192	−	1.31067i	−0.0153565	−	0.0573114i	0.957822	−	0.287361i	$-0.0927779\pi$
$523$	−0.351192	−	1.31067i	−0.0153565	−	0.0573114i	−0.973179	+	0.230049i	$0.926111\pi$
$524$	8.31884	+	14.4086i	0.363410	+	0.629445i
$525$	−7.04144	−	6.45119i	−0.307314	−	0.281553i
$526$	−4.36534	+	16.2917i	−0.190338	+	0.710351i
$527$	−0.302464	−	0.523883i	−0.0131755	−	0.0228207i
$528$			2.17392i			0.0946079i
$529$	−19.5222	+	11.2712i	−0.848793	+	0.490051i
$530$	2.35055	−	4.28492i	0.102101	−	0.186125i
$531$	3.75207	+	14.0029i	0.162826	+	0.607675i
$532$	−4.83834	+	4.83834i	−0.209768	+	0.209768i
$533$	24.0385	+	16.6524i	1.04122	+	0.721294i
$534$		−	0.833020i		−	0.0360483i
$535$	10.2605	−	18.7043i	0.443600	−	0.808659i
$536$	−2.92806	+	5.07155i	−0.126473	+	0.219058i
$537$	15.8010	+	4.23386i	0.681862	+	0.182704i
$538$	−5.48253			−0.236369
$539$	7.03872	+	1.88602i	0.303179	+	0.0812366i
$540$	−1.16009	−	1.91159i	−0.0499225	−	0.0822618i
$541$	15.2374	−	15.2374i	0.655107	−	0.655107i	−0.299111	−	0.954218i	$-0.596690\pi$
$541$	15.2374	−	15.2374i	0.655107	−	0.655107i	0.954218	+	0.299111i	$0.0966901\pi$
$542$	−1.56093	+	5.82549i	−0.0670479	+	0.250226i
$543$	−10.3912	+	2.78433i	−0.445931	+	0.119487i
$544$	0.597215	−	0.160023i	0.0256054	−	0.00686095i
$545$	0.683054	+	31.2428i	0.0292588	+	1.33829i
$546$	5.66089	+	3.92151i	0.242264	+	0.167825i
$547$	24.5518	+	24.5518i	1.04976	+	1.04976i	0.998695	+	0.0510651i	$0.0162616\pi$
$547$	24.5518	+	24.5518i	1.04976	+	1.04976i	0.0510651	+	0.998695i	$0.483738\pi$
$548$	4.12352	−	7.14214i	0.176148	−	0.305097i
$549$	4.94925	+	2.85745i	0.211229	+	0.121953i
$550$	10.6122	+	2.35171i	0.452504	+	0.100277i
$551$	−8.57305	−	8.57305i	−0.365224	−	0.365224i
$552$	−0.585876	+	0.338255i	−0.0249365	+	0.0143971i
$553$	8.45928	−	4.88397i	0.359725	−	0.207687i
$554$	−8.28088	−	8.28088i	−0.351821	−	0.351821i
$555$	5.45889	−	3.31285i	0.231717	−	0.140623i
$556$	12.7043	+	7.33484i	0.538783	+	0.311067i
$557$	3.45419	−	5.98283i	0.146359	−	0.253501i	−0.783520	−	0.621366i	$-0.786578\pi$
$557$	3.45419	−	5.98283i	0.146359	−	0.253501i	0.929879	+	0.367866i	$0.119911\pi$
$558$	−0.691834	−	0.691834i	−0.0292877	−	0.0292877i
$559$	−11.3574	+	5.36576i	−0.480367	+	0.226947i
$560$	2.95320	−	3.08522i	0.124795	−	0.130374i
$561$	−1.29830	+	0.347879i	−0.0548143	+	0.0146874i
$562$	21.3604	−	5.72349i	0.901033	−	0.241431i
$563$	−2.98545	+	11.1418i	−0.125822	+	0.469573i	−0.999868	−	0.0162704i	$-0.994821\pi$
$563$	−2.98545	+	11.1418i	−0.125822	+	0.469573i	0.874046	+	0.485843i	$0.161487\pi$
$564$	−7.67257	+	7.67257i	−0.323073	+	0.323073i
$565$	25.7610	−	15.6337i	1.08378	−	0.657714i
$566$	9.26157	+	2.48163i	0.389293	+	0.104311i
$567$	1.90997			0.0802112
$568$	−6.64505	−	1.78054i	−0.278820	−	0.0747096i
$569$	−13.9253	+	24.1194i	−0.583780	+	1.01114i	0.411247	+	0.911524i	$0.365093\pi$
$569$	−13.9253	+	24.1194i	−0.583780	+	1.01114i	−0.995026	+	0.0996118i	$0.968240\pi$
$570$	2.24195	+	7.69056i	0.0939049	+	0.322122i
$571$		−	36.5717i		−	1.53048i	−0.643745	−	0.765240i	$-0.722620\pi$
$571$		−	36.5717i		−	1.53048i	0.643745	−	0.765240i	$-0.277380\pi$
$572$	−7.81170	−	0.643856i	−0.326624	−	0.0269210i
$573$	−17.3530	+	17.3530i	−0.724934	+	0.724934i
$574$	4.00934	+	14.9631i	0.167347	+	0.624546i
$575$	1.01743	+	3.22591i	0.0424297	+	0.134530i
$576$	0.866025	−	0.500000i	0.0360844	−	0.0208333i
$577$			9.67542i			0.402793i	0.979510	+	0.201397i	$0.0645480\pi$
$577$			9.67542i			0.402793i	−0.979510	+	0.201397i	$0.935452\pi$
$578$	−8.30886	−	14.3914i	−0.345603	−	0.598602i
$579$	−4.89678	+	18.2750i	−0.203503	+	0.759484i
$580$	5.46670	+	5.23278i	0.226992	+	0.217279i
$581$	−3.66964	−	6.35600i	−0.152242	−	0.263691i
$582$	−4.74308	−	17.7014i	−0.196607	−	0.733747i
$583$	−4.11489	−	2.37573i	−0.170421	−	0.0983928i
$584$	2.15267			0.0890782
$585$	7.21264	−	3.60248i	0.298206	−	0.148944i
$586$	11.3686			0.469633
$587$	39.9990	+	23.0934i	1.65093	+	0.953168i	0.976689	+	0.214661i	$0.0688648\pi$
$587$	39.9990	+	23.0934i	1.65093	+	0.953168i	0.674246	+	0.738506i	$0.264469\pi$
$588$	−0.867565	−	3.23780i	−0.0357778	−	0.133524i
$589$	1.75255	+	3.03551i	0.0722127	+	0.125076i
$590$	0.708535	+	32.4083i	0.0291699	+	1.33423i
$591$	5.58399	−	20.8397i	0.229695	−	0.857232i
$592$	1.42784	+	2.47309i	0.0586838	+	0.101643i
$593$		−	26.6102i		−	1.09275i	−0.837541	−	0.546374i	$-0.816008\pi$
$593$		−	26.6102i		−	1.09275i	0.837541	−	0.546374i	$-0.183992\pi$
$594$	−1.88267	+	1.08696i	−0.0772470	+	0.0445986i
$595$	2.31512	+	1.26999i	0.0949106	+	0.0520645i
$596$	3.31108	+	12.3571i	0.135627	+	0.506167i
$597$	−16.3562	+	16.3562i	−0.669415	+	0.669415i
$598$	−1.04196	−	2.20545i	−0.0426087	−	0.0901875i
$599$			12.1568i			0.496711i	0.968669	+	0.248356i	$0.0798902\pi$
$599$			12.1568i			0.496711i	−0.968669	+	0.248356i	$0.920110\pi$
$600$	−1.50394	−	4.76846i	−0.0613979	−	0.194671i
$601$	3.24280	−	5.61669i	0.132276	−	0.229109i	−0.792277	−	0.610161i	$-0.791105\pi$
$601$	3.24280	−	5.61669i	0.132276	−	0.229109i	0.924554	+	0.381052i	$0.124438\pi$
$602$	−6.42728	−	1.72218i	−0.261956	−	0.0701910i
$603$	−5.85612			−0.238480
$604$	−19.8110	−	5.30834i	−0.806098	−	0.215993i
$605$	−3.33397	+	13.6273i	−0.135545	+	0.554029i
$606$	11.9623	−	11.9623i	0.485936	−	0.485936i
$607$	−5.35073	+	19.9692i	−0.217179	+	0.810524i	0.768209	+	0.640200i	$0.221148\pi$
$607$	−5.35073	+	19.9692i	−0.217179	+	0.810524i	−0.985388	+	0.170325i	$0.945518\pi$
$608$	−3.46041	+	0.927215i	−0.140338	+	0.0376035i
$609$	−6.24362	+	1.67297i	−0.253004	+	0.0677923i
$610$	9.23140	+	8.83639i	0.373768	+	0.357775i
$611$	−25.2979	−	29.8427i	−1.02344	−	1.20731i
$612$	0.437192	+	0.437192i	0.0176724	+	0.0176724i
$613$	−18.5460	+	32.1225i	−0.749064	+	1.29742i	0.199208	+	0.979957i	$0.436163\pi$
$613$	−18.5460	+	32.1225i	−0.749064	+	1.29742i	−0.948272	+	0.317460i	$0.897170\pi$
$614$	−14.8812	−	8.59165i	−0.600555	−	0.346731i
$615$	17.6162	+	4.30985i	0.710352	+	0.173790i
$616$	−2.93600	−	2.93600i	−0.118295	−	0.118295i
$617$	4.37225	−	2.52432i	0.176020	−	0.101625i	−0.409401	−	0.912354i	$-0.634262\pi$
$617$	4.37225	−	2.52432i	0.176020	−	0.101625i	0.585422	+	0.810729i	$0.300929\pi$
$618$	−4.41014	+	2.54620i	−0.177402	+	0.102423i
$619$	18.2344	+	18.2344i	0.732901	+	0.732901i	0.971193	−	0.238292i	$-0.0765876\pi$
$619$	18.2344	+	18.2344i	0.732901	+	0.732901i	−0.238292	+	0.971193i	$0.576588\pi$
$620$	−1.13504	−	1.87030i	−0.0455842	−	0.0751132i
$621$	−0.585876	−	0.338255i	−0.0235104	−	0.0135737i
$622$	8.11525	−	14.0560i	0.325392	−	0.563595i
$623$	1.12504	+	1.12504i	0.0450737	+	0.0450737i
$624$	1.54019	+	3.26003i	0.0616570	+	0.130506i
$625$	−24.9045	+	2.18315i	−0.996180	+	0.0873258i
$626$	−20.3073	+	5.44132i	−0.811643	+	0.217479i
$627$	7.52268	−	2.01570i	0.300427	−	0.0804991i
$628$	−2.23565	+	8.34356i	−0.0892121	+	0.332944i
$629$	−1.24848	+	1.24848i	−0.0497801	+	0.0497801i
$630$	4.14847	+	1.01494i	0.165279	+	0.0404361i
$631$	14.7435	+	3.95051i	0.586930	+	0.157267i	0.540050	−	0.841633i	$-0.318405\pi$
$631$	14.7435	+	3.95051i	0.586930	+	0.157267i	0.0468803	+	0.998901i	$0.485072\pi$
$632$	5.11418			0.203431
$633$	24.8260	+	6.65211i	0.986745	+	0.264398i
$634$	16.4931	−	28.5669i	0.655025	−	1.13454i
$635$	−26.8994	−	14.7560i	−1.06747	−	0.585574i
$636$			2.18566i			0.0866672i
$637$	11.8915	−	2.15853i	0.471160	−	0.0855242i
$638$	5.20230	−	5.20230i	0.205961	−	0.205961i
$639$	−1.78054	−	6.64505i	−0.0704369	−	0.262874i
$640$	2.14671	−	0.625808i	0.0848562	−	0.0247372i
$641$	−41.2213	+	23.7991i	−1.62814	+	0.940008i	−0.643495	+	0.765450i	$0.722516\pi$
$641$	−41.2213	+	23.7991i	−1.62814	+	0.940008i	−0.984647	+	0.174558i	$0.944150\pi$
$642$			9.54075i			0.376543i
$643$	−11.1405	−	19.2959i	−0.439339	−	0.760957i	0.558300	−	0.829639i	$-0.311454\pi$
$643$	−11.1405	−	19.2959i	−0.439339	−	0.760957i	−0.997639	+	0.0686821i	$0.978121\pi$
$644$	0.334424	−	1.24809i	0.0131782	−	0.0491816i
$645$	−5.38670	+	5.62750i	−0.212101	+	0.221583i
$646$	−1.10749	−	1.91824i	−0.0435738	−	0.0754720i
$647$	4.86376	+	18.1518i	0.191214	+	0.713620i	0.993214	+	0.116297i	$0.0371024\pi$
$647$	4.86376	+	18.1518i	0.191214	+	0.713620i	−0.802001	+	0.597323i	$0.796231\pi$
$648$	0.866025	+	0.500000i	0.0340207	+	0.0196419i
$649$	31.5151			1.23708
$650$	17.5802	−	3.99191i	0.689554	−	0.156576i
$651$	1.86872			0.0732408
$652$	−9.09558	−	5.25134i	−0.356210	−	0.205658i
$653$	0.407336	+	1.52020i	0.0159403	+	0.0594899i	0.973438	−	0.228951i	$-0.0735297\pi$
$653$	0.407336	+	1.52020i	0.0159403	+	0.0594899i	−0.957498	+	0.288441i	$0.906863\pi$
$654$	−6.98776	−	12.1032i	−0.273243	−	0.473271i
$655$	−25.7252	+	26.8752i	−1.00517	+	1.05010i
$656$	−2.09916	+	7.83418i	−0.0819585	+	0.305873i
$657$	1.07634	+	1.86427i	0.0419918	+	0.0727320i
$658$		−	20.7244i		−	0.807922i
$659$	−3.05103	+	1.76151i	−0.118851	+	0.0686187i	−0.558247	−	0.829675i	$-0.688526\pi$
$659$	−3.05103	+	1.76151i	−0.118851	+	0.0686187i	0.439396	+	0.898294i	$0.355193\pi$
$660$	−4.66678	+	1.36046i	−0.181654	+	0.0529558i
$661$	12.5243	+	46.7413i	0.487139	+	1.81803i	0.570231	+	0.821484i	$0.306854\pi$
$661$	12.5243	+	46.7413i	0.487139	+	1.81803i	−0.0830924	+	0.996542i	$0.526480\pi$
$662$	−1.25741	+	1.25741i	−0.0488706	+	0.0488706i
$663$	−1.70048	+	1.44151i	−0.0660410	+	0.0559835i
$664$		−	3.84261i		−	0.149122i
$665$	−13.4144	−	7.35863i	−0.520187	−	0.285356i
$666$	−1.42784	+	2.47309i	−0.0553276	+	0.0958303i
$667$	2.21149	+	0.592567i	0.0856292	+	0.0229443i
$668$	6.95195			0.268979
$669$	26.6147	+	7.13140i	1.02899	+	0.275716i
$670$	−12.7195	−	3.11188i	−0.491399	−	0.120222i
$671$	8.78492	−	8.78492i	0.339138	−	0.339138i
$672$	−0.494337	+	1.84489i	−0.0190695	+	0.0711682i
$673$	21.6749	−	5.80778i	0.835507	−	0.223873i	0.184392	−	0.982853i	$-0.440968\pi$
$673$	21.6749	−	5.80778i	0.835507	−	0.223873i	0.651115	+	0.758979i	$0.274302\pi$
$674$	−11.7739	+	3.15481i	−0.453514	+	0.121519i
$675$	3.37764	−	3.68668i	0.130005	−	0.141900i
$676$	−12.1707	+	4.56894i	−0.468102	+	0.175728i
$677$	−31.0923	−	31.0923i	−1.19497	−	1.19497i	−0.975653	−	0.219322i	$-0.929616\pi$
$677$	−31.0923	−	31.0923i	−1.19497	−	1.19497i	−0.219322	−	0.975653i	$-0.570384\pi$
$678$	−6.73812	+	11.6708i	−0.258776	+	0.448213i
$679$	30.3125	+	17.5009i	1.16329	+	0.671624i
$680$	0.717266	+	1.18190i	0.0275059	+	0.0453240i
$681$	−4.84010	−	4.84010i	−0.185473	−	0.185473i
$682$	−1.84201	+	1.06348i	−0.0705342	+	0.0407229i
$683$	−10.6173	+	6.12989i	−0.406259	+	0.234554i	−0.689181	−	0.724589i	$-0.742030\pi$
$683$	−10.6173	+	6.12989i	−0.406259	+	0.234554i	0.282922	+	0.959143i	$0.408696\pi$
$684$	−2.53320	−	2.53320i	−0.0968593	−	0.0968593i
$685$	17.9126	+	4.38239i	0.684407	+	0.167442i
$686$	17.1231	+	9.88602i	0.653763	+	0.377450i
$687$	9.61722	−	16.6575i	0.366920	−	0.635524i
$688$	−2.46344	−	2.46344i	−0.0939177	−	0.0939177i
$689$	−7.85389	−	0.647333i	−0.299209	−	0.0246614i
$690$	−1.09278	−	1.04602i	−0.0416015	−	0.0398214i
$691$	−41.9840	+	11.2496i	−1.59715	+	0.427954i	−0.944179	−	0.329432i	$-0.893143\pi$
$691$	−41.9840	+	11.2496i	−1.59715	+	0.427954i	−0.652967	+	0.757386i	$0.726476\pi$
$692$	−12.7288	+	3.41066i	−0.483875	+	0.129654i
$693$	1.07465	−	4.01065i	0.0408226	−	0.152352i
$694$	12.5259	−	12.5259i	0.475477	−	0.475477i
$695$	−7.79531	+	31.8627i	−0.295693	+	1.20862i
$696$	−3.26896	−	0.875916i	−0.123910	−	0.0332015i
$697$	−5.01461			−0.189942
$698$	−16.2696	−	4.35943i	−0.615814	−	0.165007i
$699$	−4.77283	+	8.26678i	−0.180525	+	0.312678i
$700$	8.47120	+	4.40891i	0.320181	+	0.166641i
$701$		−	2.09730i		−	0.0792141i	−0.999215	−	0.0396070i	$-0.987389\pi$
$701$		−	2.09730i		−	0.0792141i	0.999215	−	0.0396070i	$-0.0126106\pi$
$702$	−2.05318	+	2.96386i	−0.0774921	+	0.111864i
$703$	7.23400	−	7.23400i	0.272836	−	0.272836i
$704$	−0.562653	−	2.09985i	−0.0212058	−	0.0791410i
$705$	−21.2723	−	11.6692i	−0.801162	−	0.439488i
$706$	30.1361	−	17.3991i	1.13419	−	0.654824i
$707$			32.3115i			1.21520i
$708$	−7.24844	−	12.5547i	−0.272413	−	0.471833i
$709$	−1.74277	+	6.50411i	−0.0654511	+	0.244267i	−0.990899	−	0.134608i	$-0.957022\pi$
$709$	−1.74277	+	6.50411i	−0.0654511	+	0.244267i	0.925448	+	0.378875i	$0.123689\pi$
$710$	−0.336233	−	15.3793i	−0.0126186	−	0.577173i
$711$	2.55709	+	4.42901i	0.0958984	+	0.166101i
$712$	0.215602	+	0.804636i	0.00808001	+	0.0301550i
$713$	−0.573221	−	0.330949i	−0.0214673	−	0.0123942i
$714$	−1.18090			−0.0441941
$715$	−3.50646	−	17.1724i	−0.131134	−	0.642211i
$716$	−16.3584			−0.611341
$717$	−4.78020	−	2.75985i	−0.178520	−	0.103069i
$718$	−4.16700	−	15.5515i	−0.155511	−	0.580375i
$719$	−9.33097	−	16.1617i	−0.347987	−	0.602730i	0.637905	−	0.770115i	$-0.279801\pi$
$719$	−9.33097	−	16.1617i	−0.347987	−	0.602730i	−0.985892	+	0.167385i	$0.946468\pi$
$720$	1.61532	+	1.54620i	0.0601995	+	0.0576235i
$721$	2.51736	−	9.39490i	0.0937513	−	0.349885i
$722$	−3.08290	−	5.33974i	−0.114734	−	0.198725i
$723$			11.1409i			0.414335i
$724$	9.31654	−	5.37891i	0.346246	−	0.199905i
$725$	−7.81215	+	15.0101i	−0.290136	+	0.557462i
$726$	−1.62385	−	6.06027i	−0.0602666	−	0.224918i
$727$	−25.5354	+	25.5354i	−0.947057	+	0.947057i	−0.998667	−	0.0516107i	$-0.983565\pi$
$727$	−25.5354	+	25.5354i	−0.947057	+	0.947057i	0.0516107	+	0.998667i	$0.483565\pi$
$728$	−6.48296	−	2.32274i	−0.240274	−	0.0860864i
$729$			1.00000i			0.0370370i
$730$	1.34716	+	4.62116i	0.0498606	+	0.171037i
$731$	1.07700	−	1.86541i	0.0398341	−	0.0689947i
$732$	−5.52017	−	1.47913i	−0.204031	−	0.0546700i
$733$	−3.90642			−0.144287			−0.0721435	−	0.997394i	$-0.522984\pi$
$733$	−3.90642			−0.144287			−0.0721435	+	0.997394i	$0.522984\pi$
$734$	12.8267	+	3.43690i	0.473441	+	0.126858i
$735$	6.40768	−	3.88865i	0.236351	−	0.143435i
$736$	0.478365	−	0.478365i	0.0176328	−	0.0176328i
$737$	−3.29496	+	12.2970i	−0.121371	+	0.452965i
$738$	−7.83418	+	2.09916i	−0.288380	+	0.0772712i
$739$	4.49797	−	1.20523i	0.165461	−	0.0443350i	−0.175138	−	0.984544i	$-0.556037\pi$
$739$	4.49797	−	1.20523i	0.165461	−	0.0443350i	0.340598	+	0.940209i	$0.389370\pi$
$740$	−4.41545	+	4.61284i	−0.162315	+	0.169571i
$741$	9.85298	−	8.35245i	0.361958	−	0.306835i
$742$	−2.95185	−	2.95185i	−0.108366	−	0.108366i
$743$	7.15557	−	12.3938i	0.262512	−	0.454685i	−0.704396	−	0.709807i	$-0.748782\pi$
$743$	7.15557	−	12.3938i	0.262512	−	0.454685i	0.966909	+	0.255122i	$0.0821156\pi$
$744$	0.847320	+	0.489200i	0.0310643	+	0.0179350i
$745$	−24.4550	+	14.8411i	−0.895964	+	0.543736i
$746$	4.21782	+	4.21782i	0.154425	+	0.154425i
$747$	3.32780	−	1.92131i	0.121758	−	0.0702969i
$748$	1.16402	−	0.672050i	0.0425609	−	0.0245726i
$749$	−12.8853	−	12.8853i	−0.470818	−	0.470818i
$750$	9.29532	−	6.21265i	0.339417	−	0.226854i
$751$	−24.7594	−	14.2948i	−0.903482	−	0.521626i	−0.0251540	−	0.999684i	$-0.508008\pi$
$751$	−24.7594	−	14.2948i	−0.903482	−	0.521626i	−0.878328	+	0.478058i	$0.841341\pi$
$752$	5.42532	−	9.39693i	0.197841	−	0.342671i
$753$	−9.72025	−	9.72025i	−0.354226	−	0.354226i
$754$	4.11566	−	11.4872i	0.149884	−	0.418338i
$755$	−1.00242	−	45.8505i	−0.0364818	−	1.66867i
$756$	−1.84489	+	0.494337i	−0.0670980	+	0.0179789i
$757$	6.19580	−	1.66016i	0.225190	−	0.0603395i	−0.144460	−	0.989511i	$-0.546144\pi$
$757$	6.19580	−	1.66016i	0.225190	−	0.0603395i	0.369650	+	0.929171i	$0.379478\pi$
$758$	2.67271	−	9.97467i	0.0970771	−	0.362296i
$759$	−1.03993	+	1.03993i	−0.0377471	+	0.0377471i
$760$	−4.15602	−	6.84825i	−0.150755	−	0.248412i
$761$	9.47294	+	2.53827i	0.343394	+	0.0920121i	0.426394	−	0.904537i	$-0.359784\pi$
$761$	9.47294	+	2.53827i	0.343394	+	0.0920121i	−0.0830005	+	0.996550i	$0.526450\pi$
$762$	13.7209			0.497056
$763$	25.7833	+	6.90862i	0.933419	+	0.250109i
$764$	12.2705	−	21.2531i	0.443930	−	0.768909i
$765$	−0.664926	+	1.21212i	−0.0240405	+	0.0438244i
$766$			4.42893i			0.160024i
$767$	47.2603	−	22.3280i	1.70647	−	0.806216i
$768$	−0.707107	+	0.707107i	−0.0255155	+	0.0255155i
$769$	−4.48417	−	16.7351i	−0.161703	−	0.603485i	−0.998438	−	0.0558759i	$-0.982205\pi$
$769$	−4.48417	−	16.7351i	−0.161703	−	0.603485i	0.836735	−	0.547609i	$-0.184462\pi$
$770$	4.46537	−	8.14011i	0.160921	−	0.293349i
$771$	0.113522	−	0.0655418i	0.00408838	−	0.00236043i
$772$		−	18.9197i		−	0.680934i
$773$	22.3097	+	38.6416i	0.802426	+	1.38984i	0.918015	+	0.396545i	$0.129791\pi$
$773$	22.3097	+	38.6416i	0.802426	+	1.38984i	−0.115589	+	0.993297i	$0.536876\pi$
$774$	0.901681	−	3.36512i	0.0324103	−	0.120957i
$775$	3.30468	−	3.60705i	0.118708	−	0.129569i
$776$	9.16293	+	15.8707i	0.328930	+	0.569723i
$777$	−1.41167	−	5.26841i	−0.0506433	−	0.189003i
$778$	0.964844	+	0.557053i	0.0345913	+	0.0199713i
$779$	29.0559			1.04103
$780$	−6.03448	+	5.34650i	−0.216069	+	0.191435i
$781$	−14.9554			−0.535147
$782$	0.362237	+	0.209138i	0.0129536	+	0.00747874i
$783$	−0.875916	−	3.26896i	−0.0313027	−	0.116823i
$784$	1.67601	+	2.90293i	0.0598574	+	0.103676i
$785$	−19.3103	+	0.422177i	−0.689214	+	0.0150681i
$786$	4.30615	−	16.0708i	0.153595	−	0.573225i
$787$	−5.05518	−	8.75584i	−0.180198	−	0.312112i	0.761750	−	0.647871i	$-0.224340\pi$
$787$	−5.05518	−	8.75584i	−0.180198	−	0.312112i	−0.941948	+	0.335759i	$0.891007\pi$
$788$			21.5749i			0.768573i
$789$	14.6067	−	8.43319i	0.520013	−	0.300229i
$790$	3.20050	+	10.9787i	0.113869	+	0.390603i
$791$	−6.66180	−	24.8622i	−0.236866	−	0.883997i
$792$	1.53720	−	1.53720i	0.0546219	−	0.0546219i
$793$	6.94996	−	19.3979i	0.246800	−	0.688840i
$794$		−	38.4947i		−	1.36613i
$795$	−4.69198	+	1.36781i	−0.166408	+	0.0485111i
$796$	11.5656	−	20.0322i	0.409931	−	0.710022i
$797$	−10.2917	−	2.75765i	−0.364551	−	0.0976811i	0.0718937	−	0.997412i	$-0.477096\pi$
$797$	−10.2917	−	2.75765i	−0.364551	−	0.0976811i	−0.436444	+	0.899731i	$0.643762\pi$
$798$	6.84244			0.242220
$799$	6.48017	+	1.73636i	0.229252	+	0.0614279i
$800$	2.68686	+	4.21673i	0.0949948	+	0.149084i
$801$	−0.589034	+	0.589034i	−0.0208125	+	0.0208125i
$802$	−2.65088	+	9.89323i	−0.0936059	+	0.349342i
$803$	4.52028	−	1.21121i	0.159517	−	0.0427425i
$804$	5.65658	−	1.51568i	0.199492	−	0.0534537i
$805$	2.88857	−	0.0631521i	0.101809	−	0.00222582i
$806$	−2.00883	+	2.89984i	−0.0707580	+	0.102143i
$807$	3.87674	+	3.87674i	0.136468	+	0.136468i
$808$	−8.45864	+	14.6508i	−0.297574	+	0.515413i
$809$	1.08288	+	0.625203i	0.0380722	+	0.0219810i	0.518915	−	0.854826i	$-0.326336\pi$
$809$	1.08288	+	0.625203i	0.0380722	+	0.0219810i	−0.480843	+	0.876807i	$0.659669\pi$
$810$	−0.531389	+	2.17201i	−0.0186711	+	0.0763166i
$811$	18.6976	+	18.6976i	0.656562	+	0.656562i	0.954565	−	0.298003i	$-0.0963206\pi$
$811$	18.6976	+	18.6976i	0.656562	+	0.656562i	−0.298003	+	0.954565i	$0.596321\pi$
$812$	5.59788	−	3.23194i	0.196447	−	0.113419i
$813$	5.22299	−	3.01549i	0.183178	−	0.105758i
$814$	4.38974	+	4.38974i	0.153860	+	0.153860i
$815$	5.58101	−	22.8119i	0.195494	−	0.799066i
$816$	−0.535449	−	0.309141i	−0.0187445	−	0.0108221i
$817$	−6.24038	+	10.8087i	−0.218323	+	0.378147i
$818$	−12.4525	−	12.4525i	−0.435392	−	0.435392i
$819$	−1.22993	−	6.77577i	−0.0429772	−	0.236765i
$820$	−18.1314	+	0.396402i	−0.633175	+	0.0138430i
$821$	−8.96564	+	2.40234i	−0.312903	+	0.0838421i	−0.411853	−	0.911250i	$-0.635118\pi$
$821$	−8.96564	+	2.40234i	−0.312903	+	0.0838421i	0.0989499	+	0.995092i	$0.468452\pi$
$822$	−7.96603	+	2.13449i	−0.277847	+	0.0744489i
$823$	1.27175	−	4.74623i	0.0443304	−	0.165443i	−0.940212	−	0.340590i	$-0.889373\pi$
$823$	1.27175	−	4.74623i	0.0443304	−	0.165443i	0.984542	+	0.175147i	$0.0560399\pi$
$824$	3.60087	−	3.60087i	0.125442	−	0.125442i
$825$	−5.84102	−	9.16684i	−0.203358	−	0.319149i
$826$	26.7452	+	7.16634i	0.930583	+	0.249349i
$827$	−32.9053			−1.14423			−0.572114	−	0.820174i	$-0.693877\pi$
$827$	−32.9053			−1.14423			−0.572114	+	0.820174i	$0.693877\pi$
$828$	0.653459	+	0.175094i	0.0227093	+	0.00608493i
$829$	1.27999	−	2.21701i	0.0444559	−	0.0769998i	−0.842941	−	0.538006i	$-0.819178\pi$
$829$	1.27999	−	2.21701i	0.0444559	−	0.0769998i	0.887397	+	0.461006i	$0.152511\pi$
$830$	8.24897	−	2.40474i	0.286326	−	0.0834697i
$831$			11.7109i			0.406248i
$832$	−2.33147	−	2.75032i	−0.0808291	−	0.0953502i
$833$	−1.46547	+	1.46547i	−0.0507756	+	0.0507756i
$834$	−3.79680	−	14.1698i	−0.131472	−	0.490661i
$835$	4.35059	+	14.9238i	0.150558	+	0.516460i
$836$	−6.74465	+	3.89402i	−0.233269	+	0.134678i
$837$			0.978401i			0.0338185i
$838$	−3.14274	−	5.44338i	−0.108564	−	0.188038i
$839$	3.70671	−	13.8336i	0.127970	−	0.477590i	−0.871958	−	0.489580i	$-0.837150\pi$
$839$	3.70671	−	13.8336i	0.127970	−	0.477590i	0.999928	+	0.0119902i	$0.00381669\pi$
$840$	−4.26980	+	0.0933498i	−0.147322	+	0.00322087i
$841$	−8.77333	−	15.1959i	−0.302529	−	0.523995i
$842$	−6.62912	−	24.7402i	−0.228455	−	0.852604i
$843$	−19.1512	−	11.0569i	−0.659602	−	0.380821i
$844$	−25.7018			−0.884692
$845$	−17.4247	−	23.2676i	−0.599427	−	0.800429i
$846$	10.8506			0.373053
$847$	10.3778	+	5.99163i	0.356586	+	0.205875i
$848$	−0.565691	−	2.11119i	−0.0194259	−	0.0724985i
$849$	−4.79414	−	8.30370i	−0.164535	−	0.284982i
$850$	−2.08833	+	2.27941i	−0.0716293	+	0.0781830i
$851$	−0.500012	+	1.86607i	−0.0171402	+	0.0639680i
$852$	3.43973	+	5.95779i	0.117843	+	0.204110i
$853$		−	5.12578i		−	0.175503i	−0.996142	−	0.0877516i	$-0.972032\pi$
$853$		−	5.12578i		−	0.175503i	0.996142	−	0.0877516i	$-0.0279682\pi$
$854$	9.45292	−	5.45765i	0.323472	−	0.186757i
$855$	3.85275	−	7.02334i	0.131761	−	0.240193i
$856$	−2.46933	−	9.21566i	−0.0843999	−	0.314985i
$857$	−25.5465	+	25.5465i	−0.872652	+	0.872652i	−0.992761	−	0.120109i	$-0.961676\pi$
$857$	−25.5465	+	25.5465i	−0.872652	+	0.872652i	0.120109	+	0.992761i	$0.461676\pi$
$858$	5.06843	+	5.97898i	0.173033	+	0.204119i
$859$		−	39.8525i		−	1.35975i	−0.733328	−	0.679875i	$-0.762034\pi$
$859$		−	39.8525i		−	1.35975i	0.733328	−	0.679875i	$-0.237966\pi$
$860$	3.74665	−	6.82993i	0.127760	−	0.232899i
$861$	7.74544	−	13.4155i	0.263964	−	0.457199i
$862$	−11.5686	−	3.09979i	−0.394027	−	0.105579i
$863$	46.1552			1.57114			0.785570	−	0.618773i	$-0.212370\pi$
$863$	46.1552			1.57114			0.785570	+	0.618773i	$0.212370\pi$
$864$	−0.965926	−	0.258819i	−0.0328615	−	0.00880520i
$865$	−15.2875	−	25.1905i	−0.519789	−	0.856504i
$866$	25.0600	−	25.0600i	0.851572	−	0.851572i
$867$	−4.30098	+	16.0515i	−0.146069	+	0.545137i
$868$	−1.80504	+	0.483659i	−0.0612671	+	0.0164165i
$869$	10.7390	−	2.87751i	0.364296	−	0.0976128i
$870$	−0.165407	−	7.56567i	−0.00560781	−	0.256500i
$871$	3.77106	+	20.7751i	0.127777	+	0.703936i
$872$	9.88219	+	9.88219i	0.334653	+	0.334653i
$873$	−9.16293	+	15.8707i	−0.310118	+	0.537140i
$874$	−2.09889	−	1.21180i	−0.0709960	−	0.0409896i
$875$	−4.16330	+	20.9443i	−0.140745	+	0.708048i
$876$	−1.52217	−	1.52217i	−0.0514293	−	0.0514293i
$877$	−42.3941	+	24.4763i	−1.43155	+	0.826505i	−0.997239	−	0.0742588i	$-0.976341\pi$
$877$	−42.3941	+	24.4763i	−1.43155	+	0.826505i	−0.434310	+	0.900764i	$0.643008\pi$
$878$	−26.2886	+	15.1777i	−0.887198	+	0.512224i
$879$	−8.03881	−	8.03881i	−0.271142	−	0.271142i
$880$	4.15565	−	2.52196i	0.140087	−	0.0850151i
$881$	10.4747	+	6.04758i	0.352902	+	0.203748i	0.665963	−	0.745985i	$-0.268021\pi$
$881$	10.4747	+	6.04758i	0.352902	+	0.203748i	−0.313060	+	0.949733i	$0.601354\pi$
$882$	−1.67601	+	2.90293i	−0.0564341	+	0.0977467i
$883$	0.0376098	+	0.0376098i	0.00126567	+	0.00126567i	0.707739	−	0.706474i	$-0.249715\pi$
$883$	0.0376098	+	0.0376098i	0.00126567	+	0.00126567i	−0.706474	+	0.707739i	$0.749715\pi$
$884$	1.26944	−	1.83250i	0.0426960	−	0.0616338i
$885$	22.4151	−	23.4171i	0.753475	−	0.787158i
$886$	−26.2624	+	7.03698i	−0.882301	+	0.236412i
$887$	19.5656	−	5.24258i	0.656947	−	0.176029i	0.0850794	−	0.996374i	$-0.472886\pi$
$887$	19.5656	−	5.24258i	0.656947	−	0.176029i	0.571868	+	0.820346i	$0.306219\pi$
$888$	0.739104	−	2.75837i	0.0248027	−	0.0925650i
$889$	−18.5308	+	18.5308i	−0.621503	+	0.621503i
$890$	−1.59239	+	0.966382i	−0.0533772	+	0.0323932i
$891$	2.09985	+	0.562653i	0.0703476	+	0.0188496i
$892$	−27.5536			−0.922563
$893$	−37.5477	−	10.0609i	−1.25649	−	0.336675i
$894$	6.39651	−	11.0791i	0.213931	−	0.370540i
$895$	−10.2372	−	35.1167i	−0.342192	−	1.17382i
$896$		−	1.90997i		−	0.0638076i
$897$	−0.822713	+	2.29626i	−0.0274696	+	0.0766699i
$898$	−9.55452	+	9.55452i	−0.318838	+	0.318838i
$899$	−0.856997	−	3.19836i	−0.0285824	−	0.106671i
$900$	−2.30836	+	4.43525i	−0.0769455	+	0.147842i
$901$	1.17031	−	0.675679i	0.0389887	−	0.0225101i
$902$			17.6317i			0.587071i
$903$	3.32701	+	5.76254i	0.110716	+	0.191765i
$904$	3.48791	−	13.0170i	0.116006	−	0.432940i
$905$	17.3773	+	16.6337i	0.577642	+	0.552924i
$906$	10.2549	+	17.7621i	0.340697	+	0.590105i
$907$	−13.4020	−	50.0170i	−0.445006	−	1.66079i	−0.715920	−	0.698182i	$-0.753993\pi$
$907$	−13.4020	−	50.0170i	−0.445006	−	1.66079i	0.270914	−	0.962604i	$-0.412674\pi$
$908$	5.92789	+	3.42247i	0.196724	+	0.113579i
$909$	−16.9173			−0.561111
$910$	0.929157	−	15.3706i	0.0308013	−	0.509531i
$911$	−0.617609			−0.0204623			−0.0102311	−	0.999948i	$-0.503257\pi$
$911$	−0.617609			−0.0204623			−0.0102311	+	0.999948i	$0.503257\pi$
$912$	3.10252	+	1.79124i	0.102735	+	0.0593140i
$913$	−2.16206	−	8.06890i	−0.0715536	−	0.267042i
$914$	−0.114554	−	0.198413i	−0.00378910	−	0.00656291i
$915$	−0.279316	−	12.7759i	−0.00923389	−	0.422357i
$916$	−4.97824	+	18.5790i	−0.164486	+	0.613869i
$917$	15.8887	+	27.5201i	0.524692	+	0.908794i
$918$		−	0.618283i		−	0.0204064i
$919$	−13.3803	+	7.72510i	−0.441374	+	0.254828i	−0.704180	−	0.710021i	$-0.748685\pi$
$919$	−13.3803	+	7.72510i	−0.441374	+	0.254828i	0.262806	+	0.964849i	$0.415352\pi$
$920$	1.32628	+	0.727547i	0.0437261	+	0.0239865i
$921$	4.44736	+	16.5978i	0.146546	+	0.546916i
$922$	−26.0495	+	26.0495i	−0.857895	+	0.857895i
$923$	−22.4273	+	10.5957i	−0.738202	+	0.348761i
$924$			4.15213i			0.136595i
$925$	−12.6657	−	6.59195i	−0.416444	−	0.216742i
$926$	0.0313299	−	0.0542649i	0.00102956	−	0.00178326i
$927$	4.91887	+	1.31801i	0.161557	+	0.0432891i
$928$	3.38428			0.111094
$929$	−12.5676	−	3.36748i	−0.412330	−	0.110483i	0.0466902	−	0.998909i	$-0.485133\pi$
$929$	−12.5676	−	3.36748i	−0.412330	−	0.110483i	−0.459020	+	0.888426i	$0.651799\pi$
$930$	−0.519911	+	2.12510i	−0.0170486	+	0.0696846i
$931$	8.49132	−	8.49132i	0.278292	−	0.278292i
$932$	2.47060	−	9.22039i	0.0809271	−	0.302024i
$933$	−15.6775	+	4.20076i	−0.513257	+	0.137527i
$934$	−17.0231	+	4.56133i	−0.557014	+	0.149251i
$935$	2.17115	+	2.07825i	0.0710043	+	0.0679660i
$936$	1.21611	−	3.39427i	0.0397499	−	0.110945i
$937$	−10.5551	−	10.5551i	−0.344821	−	0.344821i	0.513355	−	0.858176i	$-0.328402\pi$
$937$	−10.5551	−	10.5551i	−0.344821	−	0.344821i	−0.858176	+	0.513355i	$0.828402\pi$
$938$	−5.59251	+	9.68651i	−0.182602	+	0.316276i
$939$	18.2070	+	10.5118i	0.594164	+	0.343041i
$940$	23.5677	+	5.76591i	0.768694	+	0.188063i
$941$	29.8629	+	29.8629i	0.973501	+	0.973501i	0.999658	−	0.0261567i	$-0.00832690\pi$
$941$	29.8629	+	29.8629i	0.973501	+	0.973501i	−0.0261567	+	0.999658i	$0.508327\pi$
$942$	7.48063	−	4.31894i	0.243732	−	0.140719i
$943$	−4.75177	+	2.74343i	−0.154739	+	0.0893385i
$944$	10.2508	+	10.2508i	0.333637	+	0.333637i
$945$	−2.21575	−	3.65108i	−0.0720782	−	0.118770i
$946$	−6.55891	−	3.78679i	−0.213249	−	0.123119i
$947$	−9.30662	+	16.1195i	−0.302424	+	0.523815i	−0.976685	−	0.214679i	$-0.931129\pi$
$947$	−9.30662	+	16.1195i	−0.302424	+	0.523815i	0.674260	+	0.738494i	$0.264463\pi$
$948$	−3.61627	−	3.61627i	−0.117451	−	0.117451i
$949$	5.92053	−	5.01888i	0.192189	−	0.162920i
$950$	12.1003	−	13.2075i	0.392587	−	0.428507i
$951$	−31.8622	+	8.53746i	−1.03320	+	0.276846i
$952$	1.14066	−	0.305640i	0.0369691	−	0.00990585i
$953$	10.5690	−	39.4440i	0.342363	−	1.27772i	−0.553300	−	0.832982i	$-0.686632\pi$
$953$	10.5690	−	39.4440i	0.342363	−	1.27772i	0.895663	−	0.444733i	$-0.146702\pi$
$954$	1.54550	−	1.54550i	0.0500373	−	0.0500373i
$955$	53.3031	+	13.0408i	1.72485	+	0.421990i
$956$	5.33162	+	1.42860i	0.172437	+	0.0462044i
$957$	−7.35716			−0.237823
$958$	4.71886	+	1.26441i	0.152459	+	0.0408514i
$959$	7.87580	−	13.6413i	0.254323	−	0.440500i
$960$	−1.96047	−	1.07544i	−0.0632738	−	0.0347097i
$961$		−	30.0427i		−	0.969120i
$962$	9.69294	+	3.47282i	0.312513	+	0.111968i
$963$	6.74633	−	6.74633i	0.217397	−	0.217397i
$964$	−2.88348	−	10.7613i	−0.0928707	−	0.346598i
$965$	40.6151	−	11.8401i	1.30745	−	0.381146i
$966$	−1.11901	+	0.646058i	−0.0360034	+	0.0207866i
$967$			57.3191i			1.84326i	0.388073	+	0.921629i	$0.373141\pi$
$967$			57.3191i			1.84326i	−0.388073	+	0.921629i	$0.626859\pi$
$968$	3.13703	+	5.43349i	0.100828	+	0.174639i
$969$	−0.573281	+	2.13952i	−0.0184164	+	0.0687311i
$970$	−28.3355	+	29.6021i	−0.909797	+	0.950467i
$971$	−22.9605	−	39.7687i	−0.736836	−	1.27624i	−0.953913	−	0.300083i	$-0.902986\pi$
$971$	−22.9605	−	39.7687i	−0.736836	−	1.27624i	0.217077	−	0.976155i	$-0.430348\pi$
$972$	−0.258819	−	0.965926i	−0.00830162	−	0.0309821i
$973$	24.2649	+	14.0093i	0.777897	+	0.449119i
$974$	19.4868			0.624397
$975$	−15.2538	−	9.60840i	−0.488513	−	0.307715i
$976$	5.71490			0.182930
$977$	50.6747	+	29.2570i	1.62123	+	0.936015i	0.986593	+	0.163201i	$0.0521820\pi$
$977$	50.6747	+	29.2570i	1.62123	+	0.936015i	0.634633	+	0.772814i	$0.281151\pi$
$978$	2.71829	+	10.1448i	0.0869214	+	0.324395i
$979$	0.905461	+	1.56831i	0.0289387	+	0.0501232i
$980$	−5.18289	+	5.41458i	−0.165561	+	0.172962i
$981$	−3.61713	+	13.4993i	−0.115486	+	0.431000i
$982$	13.6057	+	23.5658i	0.434175	+	0.752014i
$983$			17.6084i			0.561621i	0.959763	+	0.280811i	$0.0906033\pi$
$983$			17.6084i			0.561621i	−0.959763	+	0.280811i	$0.909397\pi$
$984$	7.02393	−	4.05527i	0.223915	−	0.129277i
$985$	−46.3150	+	13.5017i	−1.47572	+	0.430201i
$986$	0.541564	+	2.02114i	0.0172469	+	0.0643663i
$987$	−14.6544	+	14.6544i	−0.466454	+	0.466454i
$988$	−7.35547	+	10.6180i	−0.234009	+	0.337803i
$989$		−	2.35685i		−	0.0749434i
$990$	4.26190	+	2.33792i	0.135452	+	0.0743041i
$991$	−5.36717	+	9.29621i	−0.170494	+	0.295304i	−0.938593	−	0.345027i	$-0.887870\pi$
$991$	−5.36717	+	9.29621i	−0.170494	+	0.295304i	0.768099	+	0.640331i	$0.221203\pi$
$992$	−0.945063	−	0.253229i	−0.0300058	−	0.00804002i
$993$	1.77824			0.0564309
$994$	−12.6918	−	3.40077i	−0.402561	−	0.107866i
$995$	50.2411	+	12.2917i	1.59275	+	0.389672i
$996$	−2.71714	+	2.71714i	−0.0860957	+	0.0860957i
$997$	−3.30451	+	12.3326i	−0.104655	+	0.390577i	−0.998306	−	0.0581856i	$-0.981468\pi$
$997$	−3.30451	+	12.3326i	−0.104655	+	0.390577i	0.893651	+	0.448763i	$0.148135\pi$
$998$	−15.2695	+	4.09145i	−0.483348	+	0.129513i
$999$	2.75837	−	0.739104i	0.0872711	−	0.0233842i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	390.2.bd.b.7.1	✓	16
5.3	odd	4		390.2.bn.b.163.4	yes	16
13.2	odd	12		390.2.bn.b.67.4	yes	16
65.28	even	12	inner	390.2.bd.b.223.1	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.b.7.1	✓	16	1.1	even	1	trivial
390.2.bd.b.223.1	yes	16	65.28	even	12	inner
390.2.bn.b.67.4	yes	16	13.2	odd	12
390.2.bn.b.163.4	yes	16	5.3	odd	4

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)

\(f(q)\)	\(=\)	\(q+(0.866025 + 0.500000i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.54620 + 1.61532i) q^{5} +(0.258819 - 0.965926i) q^{6} +(0.954985 + 1.65408i) q^{7} +1.00000i q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\)	\(q+(0.866025 + 0.500000i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.54620 + 1.61532i) q^{5} +(0.258819 - 0.965926i) q^{6} +(0.954985 + 1.65408i) q^{7} +1.00000i q^{8} +(-0.866025 + 0.500000i) q^{9} +(-2.14671 + 0.625808i) q^{10} +(0.562653 + 2.09985i) q^{11} +(0.707107 - 0.707107i) q^{12} +(2.33147 + 2.75032i) q^{13} +1.90997i q^{14} +(1.96047 + 1.07544i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.597215 - 0.160023i) q^{17} -1.00000 q^{18} +(3.46041 + 0.927215i) q^{19} +(-2.17201 - 0.531389i) q^{20} +(1.35055 - 1.35055i) q^{21} +(-0.562653 + 2.09985i) q^{22} +(-0.653459 + 0.175094i) q^{23} +(0.965926 - 0.258819i) q^{24} +(-0.218523 - 4.99522i) q^{25} +(0.643951 + 3.54758i) q^{26} +(0.707107 + 0.707107i) q^{27} +(-0.954985 + 1.65408i) q^{28} +(-2.93087 - 1.69214i) q^{29} +(1.16009 + 1.91159i) q^{30} +(0.691834 + 0.691834i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(1.88267 - 1.08696i) q^{33} +(-0.437192 - 0.437192i) q^{34} +(-4.14847 - 1.01494i) q^{35} +(-0.866025 - 0.500000i) q^{36} +(1.42784 - 2.47309i) q^{37} +(2.53320 + 2.53320i) q^{38} +(2.05318 - 2.96386i) q^{39} +(-1.61532 - 1.54620i) q^{40} +(7.83418 - 2.09916i) q^{41} +(1.84489 - 0.494337i) q^{42} +(-0.901681 + 3.36512i) q^{43} +(-1.53720 + 1.53720i) q^{44} +(0.531389 - 2.17201i) q^{45} +(-0.653459 - 0.175094i) q^{46} -10.8506 q^{47} +(0.965926 + 0.258819i) q^{48} +(1.67601 - 2.90293i) q^{49} +(2.30836 - 4.43525i) q^{50} +0.618283i q^{51} +(-1.21611 + 3.39427i) q^{52} +(-1.54550 + 1.54550i) q^{53} +(0.258819 + 0.965926i) q^{54} +(-4.26190 - 2.33792i) q^{55} +(-1.65408 + 0.954985i) q^{56} -3.58249i q^{57} +(-1.69214 - 2.93087i) q^{58} +(3.75207 - 14.0029i) q^{59} +(0.0488750 + 2.23553i) q^{60} +(-2.85745 - 4.94925i) q^{61} +(0.253229 + 0.945063i) q^{62} +(-1.65408 - 0.954985i) q^{63} -1.00000 q^{64} +(-8.04757 - 0.486477i) q^{65} +2.17392 q^{66} +(5.07155 + 2.92806i) q^{67} +(-0.160023 - 0.597215i) q^{68} +(0.338255 + 0.585876i) q^{69} +(-3.08522 - 2.95320i) q^{70} +(-1.78054 + 6.64505i) q^{71} +(-0.500000 - 0.866025i) q^{72} -2.15267i q^{73} +(2.47309 - 1.42784i) q^{74} +(-4.76846 + 1.50394i) q^{75} +(0.927215 + 3.46041i) q^{76} +(-2.93600 + 2.93600i) q^{77} +(3.26003 - 1.54019i) q^{78} -5.11418i q^{79} +(-0.625808 - 2.14671i) q^{80} +(0.500000 - 0.866025i) q^{81} +(7.83418 + 2.09916i) q^{82} -3.84261 q^{83} +(1.84489 + 0.494337i) q^{84} +(1.18190 - 0.717266i) q^{85} +(-2.46344 + 2.46344i) q^{86} +(-0.875916 + 3.26896i) q^{87} +(-2.09985 + 0.562653i) q^{88} +(0.804636 - 0.215602i) q^{89} +(1.54620 - 1.61532i) q^{90} +(-2.32274 + 6.48296i) q^{91} +(-0.478365 - 0.478365i) q^{92} +(0.489200 - 0.847320i) q^{93} +(-9.39693 - 5.42532i) q^{94} +(-6.84825 + 4.15602i) q^{95} +(0.707107 + 0.707107i) q^{96} +(15.8707 - 9.16293i) q^{97} +(2.90293 - 1.67601i) q^{98} +(-1.53720 - 1.53720i) 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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