LMFDB - Embedded newform 930.2.bj.b.277.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			277.10
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.b.883.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-2.20784 + 0.354206i) q^{5} +1.00000i q^{6} +(0.622042 - 1.22083i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-2.20784 + 0.354206i) q^{5} +1.00000i q^{6} +(0.622042 - 1.22083i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-0.695226 - 2.12524i) q^{10} +(4.92273 - 1.59949i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(0.890404 + 0.141026i) q^{13} +(1.30310 + 0.423404i) q^{14} +(-2.23606 + 0.00446306i) q^{15} +(0.809017 - 0.587785i) q^{16} +(1.69267 + 3.32204i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(-4.06666 + 5.59728i) q^{19} +(1.99032 - 1.01913i) q^{20} +(0.805363 - 1.10849i) q^{21} +(2.34989 + 4.61191i) q^{22} +(6.60437 - 3.36510i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(4.74908 - 1.56406i) q^{25} +0.901503i q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.214341 + 1.35330i) q^{28} +(1.28034 + 0.930224i) q^{29} +(-0.354206 - 2.20784i) q^{30} +(4.22768 + 3.62308i) q^{31} +(0.707107 + 0.707107i) q^{32} +(5.11234 - 0.809716i) q^{33} +(-3.01635 + 2.19151i) q^{34} +(-0.940943 + 2.91571i) q^{35} -1.00000 q^{36} +(-6.53492 + 6.53492i) q^{37} +(-6.16453 - 3.14099i) q^{38} +(0.857380 + 0.278580i) q^{39} +(1.31794 + 1.80639i) q^{40} +(-7.60799 - 5.52753i) q^{41} +(1.22083 + 0.622042i) q^{42} +(0.377762 + 2.38509i) q^{43} +(-4.18753 + 3.04242i) q^{44} +(-2.20923 - 0.345389i) q^{45} +(4.35682 + 5.99665i) q^{46} +(11.9493 + 1.89258i) q^{47} +(0.891007 - 0.453990i) q^{48} +(3.01102 + 4.14431i) q^{49} +(2.28772 + 4.44594i) q^{50} +(1.15214 + 3.54594i) q^{51} +(-0.890404 + 0.141026i) q^{52} +(-1.71222 + 0.872421i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-10.3020 + 5.27508i) q^{55} -1.37017 q^{56} +(-4.89220 + 4.89220i) q^{57} +(-0.718482 + 1.41010i) q^{58} +(0.0797581 + 0.109778i) q^{59} +(2.12524 - 0.695226i) q^{60} +3.12875i q^{61} +(-2.91712 + 4.74241i) q^{62} +(0.968853 - 0.968853i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-2.01582 + 0.00402346i) q^{65} +(1.59949 + 4.92273i) q^{66} +(-4.51999 - 4.51999i) q^{67} +(-2.63639 - 2.63639i) q^{68} +(7.04948 - 2.29051i) q^{69} +(-3.02701 - 0.473240i) q^{70} +(3.39486 - 10.4483i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(1.70989 - 3.35585i) q^{73} +(-7.47675 - 5.43218i) q^{74} +(4.93528 - 0.801880i) q^{75} +(2.13797 - 6.58000i) q^{76} +(1.10944 - 7.00475i) q^{77} +(-0.141026 + 0.890404i) q^{78} +(4.22799 - 13.0124i) q^{79} +(-1.57798 + 1.58429i) q^{80} +(0.809017 + 0.587785i) q^{81} +(4.26932 - 8.37902i) q^{82} +(0.855345 + 5.40043i) q^{83} +(-0.423404 + 1.30310i) q^{84} +(-4.91382 - 6.73498i) q^{85} +(-2.29664 + 0.746222i) q^{86} +(1.11906 + 1.11906i) q^{87} +(-3.66003 - 3.66003i) q^{88} +(0.999575 + 3.07638i) q^{89} +(-0.00446306 - 2.23606i) q^{90} +(0.726037 - 0.999304i) q^{91} +(-5.24126 + 5.24126i) q^{92} +(3.60886 + 4.23983i) q^{93} +12.0982i q^{94} +(6.99593 - 13.7983i) q^{95} +(0.587785 + 0.809017i) q^{96} +(-4.86536 + 9.54880i) q^{97} +(-3.62226 + 3.62226i) q^{98} +5.17607 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 4 q^{7}+O(q^{10}) $ 128 * q + 4 * q^7	$ 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) $ 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	−2.20784	+	0.354206i	−0.987374	+	0.158406i
$5$	−2.20784	+	0.354206i	−0.987374	+	0.158406i
$6$			1.00000i			0.408248i
$7$	0.622042	−	1.22083i	0.235110	−	0.461429i	−0.743063	−	0.669221i	$-0.766628\pi$
$7$	0.622042	−	1.22083i	0.235110	−	0.461429i	0.978173	+	0.207792i	$0.0666278\pi$
$8$	−0.453990	−	0.891007i	−0.160510	−	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	−0.695226	−	2.12524i	−0.219850	−	0.672061i
$11$	4.92273	−	1.59949i	1.48426	−	0.482265i	0.548878	−	0.835903i	$-0.315055\pi$
$11$	4.92273	−	1.59949i	1.48426	−	0.482265i	0.935383	+	0.353637i	$0.115055\pi$
$12$	−0.987688	+	0.156434i	−0.285121	+	0.0451587i
$13$	0.890404	+	0.141026i	0.246954	+	0.0391136i	0.278684	−	0.960383i	$-0.410102\pi$
$13$	0.890404	+	0.141026i	0.246954	+	0.0391136i	−0.0317304	+	0.999496i	$0.510102\pi$
$14$	1.30310	+	0.423404i	0.348269	+	0.113160i
$15$	−2.23606	+	0.00446306i	−0.577349	+	0.00115236i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	1.69267	+	3.32204i	0.410532	+	0.805714i	0.999998	−	0.00207900i	$-0.000661765\pi$
$17$	1.69267	+	3.32204i	0.410532	+	0.805714i	−0.589466	+	0.807793i	$0.700662\pi$
$18$	−0.156434	+	0.987688i	−0.0368720	+	0.232800i
$19$	−4.06666	+	5.59728i	−0.932956	+	1.28410i	0.0257392	+	0.999669i	$0.491806\pi$
$19$	−4.06666	+	5.59728i	−0.932956	+	1.28410i	−0.958695	+	0.284435i	$0.908194\pi$
$20$	1.99032	−	1.01913i	0.445049	−	0.227884i
$21$	0.805363	−	1.10849i	0.175745	−	0.241892i
$22$	2.34989	+	4.61191i	0.500997	+	0.983263i
$23$	6.60437	−	3.36510i	1.37711	−	0.701671i	0.400419	−	0.916332i	$-0.368865\pi$
$23$	6.60437	−	3.36510i	1.37711	−	0.701671i	0.976689	+	0.214661i	$0.0688647\pi$
$24$	−0.309017	−	0.951057i	−0.0630778	−	0.194134i
$25$	4.74908	−	1.56406i	0.949815	−	0.312811i
$26$			0.901503i			0.176799i
$27$	0.891007	+	0.453990i	0.171474	+	0.0873705i
$28$	−0.214341	+	1.35330i	−0.0405067	+	0.255749i
$29$	1.28034	+	0.930224i	0.237754	+	0.172738i	0.700282	−	0.713866i	$-0.253058\pi$
$29$	1.28034	+	0.930224i	0.237754	+	0.172738i	−0.462528	+	0.886605i	$0.653058\pi$
$30$	−0.354206	−	2.20784i	−0.0646688	−	0.403094i
$31$	4.22768	+	3.62308i	0.759314	+	0.650724i
$31$	4.22768	+	3.62308i	0.759314	+	0.650724i
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	5.11234	−	0.809716i	0.889945	−	0.140953i
$34$	−3.01635	+	2.19151i	−0.517300	+	0.375841i
$35$	−0.940943	+	2.91571i	−0.159048	+	0.492846i
$36$	−1.00000			−0.166667
$37$	−6.53492	+	6.53492i	−1.07433	+	1.07433i	−0.0773285	+	0.997006i	$0.524639\pi$
$37$	−6.53492	+	6.53492i	−1.07433	+	1.07433i	−0.997006	+	0.0773285i	$0.975361\pi$
$38$	−6.16453	−	3.14099i	−1.00002	−	0.509535i
$39$	0.857380	+	0.278580i	0.137291	+	0.0446085i
$40$	1.31794	+	1.80639i	0.208384	+	0.285615i
$41$	−7.60799	−	5.52753i	−1.18817	−	0.863255i	−0.195099	−	0.980784i	$-0.562503\pi$
$41$	−7.60799	−	5.52753i	−1.18817	−	0.863255i	−0.993069	+	0.117529i	$0.962503\pi$
$42$	1.22083	+	0.622042i	0.188378	+	0.0959832i
$43$	0.377762	+	2.38509i	0.0576081	+	0.363724i	0.999605	+	0.0281020i	$0.00894632\pi$
$43$	0.377762	+	2.38509i	0.0576081	+	0.363724i	−0.941997	+	0.335622i	$0.891054\pi$
$44$	−4.18753	+	3.04242i	−0.631294	+	0.458662i
$45$	−2.20923	−	0.345389i	−0.329333	−	0.0514876i
$46$	4.35682	+	5.99665i	0.642378	+	0.884157i
$47$	11.9493	+	1.89258i	1.74298	+	0.276061i	0.945105	−	0.326765i	$-0.105959\pi$
$47$	11.9493	+	1.89258i	1.74298	+	0.276061i	0.797873	+	0.602826i	$0.205959\pi$
$48$	0.891007	−	0.453990i	0.128606	−	0.0655279i
$49$	3.01102	+	4.14431i	0.430145	+	0.592044i
$50$	2.28772	+	4.44594i	0.323532	+	0.628750i
$51$	1.15214	+	3.54594i	0.161333	+	0.496530i
$52$	−0.890404	+	0.141026i	−0.123477	+	0.0195568i
$53$	−1.71222	+	0.872421i	−0.235192	+	0.119836i	−0.567615	−	0.823294i	$-0.692134\pi$
$53$	−1.71222	+	0.872421i	−0.235192	+	0.119836i	0.332423	+	0.943130i	$0.392134\pi$
$54$	−0.309017	+	0.951057i	−0.0420519	+	0.129422i
$55$	−10.3020	+	5.27508i	−1.38913	+	0.711291i
$56$	−1.37017			−0.183096
$57$	−4.89220	+	4.89220i	−0.647988	+	0.647988i
$58$	−0.718482	+	1.41010i	−0.0943413	+	0.185155i
$59$	0.0797581	+	0.109778i	0.0103836	+	0.0142918i	0.814177	−	0.580616i	$-0.197188\pi$
$59$	0.0797581	+	0.109778i	0.0103836	+	0.0142918i	−0.803794	+	0.594908i	$0.797188\pi$
$60$	2.12524	−	0.695226i	0.274368	−	0.0897533i
$61$			3.12875i			0.400596i	0.979735	+	0.200298i	$0.0641910\pi$
$61$			3.12875i			0.400596i	−0.979735	+	0.200298i	$0.935809\pi$
$62$	−2.91712	+	4.74241i	−0.370475	+	0.602286i
$63$	0.968853	−	0.968853i	0.122064	−	0.122064i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	−2.01582	+	0.00402346i	−0.250031	+	0.000499049i
$66$	1.59949	+	4.92273i	0.196884	+	0.605947i
$67$	−4.51999	−	4.51999i	−0.552205	−	0.552205i	0.374872	−	0.927077i	$-0.377687\pi$
$67$	−4.51999	−	4.51999i	−0.552205	−	0.552205i	−0.927077	+	0.374872i	$0.877687\pi$
$68$	−2.63639	−	2.63639i	−0.319709	−	0.319709i
$69$	7.04948	−	2.29051i	0.848658	−	0.275746i
$70$	−3.02701	−	0.473240i	−0.361797	−	0.0565630i
$71$	3.39486	−	10.4483i	0.402896	−	1.23998i	−0.519744	−	0.854322i	$-0.673973\pi$
$71$	3.39486	−	10.4483i	0.402896	−	1.23998i	0.922640	−	0.385663i	$-0.126027\pi$
$72$	−0.156434	−	0.987688i	−0.0184360	−	0.116400i
$73$	1.70989	−	3.35585i	0.200127	−	0.392772i	−0.769031	−	0.639212i	$-0.779261\pi$
$73$	1.70989	−	3.35585i	0.200127	−	0.392772i	0.969158	+	0.246440i	$0.0792607\pi$
$74$	−7.47675	−	5.43218i	−0.869155	−	0.631478i
$75$	4.93528	−	0.801880i	0.569877	−	0.0925931i
$76$	2.13797	−	6.58000i	0.245242	−	0.754777i
$77$	1.10944	−	7.00475i	0.126433	−	0.798266i
$78$	−0.141026	+	0.890404i	−0.0159681	+	0.100818i
$79$	4.22799	−	13.0124i	0.475686	−	1.46401i	−0.369344	−	0.929293i	$-0.620418\pi$
$79$	4.22799	−	13.0124i	0.475686	−	1.46401i	0.845030	−	0.534718i	$-0.179582\pi$
$80$	−1.57798	+	1.58429i	−0.176424	+	0.177129i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	4.26932	−	8.37902i	0.471468	−	0.925308i
$83$	0.855345	+	5.40043i	0.0938863	+	0.592775i	0.989112	+	0.147162i	$0.0470140\pi$
$83$	0.855345	+	5.40043i	0.0938863	+	0.592775i	−0.895226	+	0.445612i	$0.852986\pi$
$84$	−0.423404	+	1.30310i	−0.0461972	+	0.142180i
$85$	−4.91382	−	6.73498i	−0.532978	−	0.730511i
$86$	−2.29664	+	0.746222i	−0.247653	+	0.0804672i
$87$	1.11906	+	1.11906i	0.119976	+	0.119976i
$88$	−3.66003	−	3.66003i	−0.390161	−	0.390161i
$89$	0.999575	+	3.07638i	0.105955	+	0.326095i	0.989953	−	0.141394i	$-0.0451586\pi$
$89$	0.999575	+	3.07638i	0.105955	+	0.326095i	−0.883999	+	0.467490i	$0.845159\pi$
$90$	−0.00446306	−	2.23606i	−0.000470447	−	0.235702i
$91$	0.726037	−	0.999304i	0.0761094	−	0.104756i
$92$	−5.24126	+	5.24126i	−0.546439	+	0.546439i
$93$	3.60886	+	4.23983i	0.374221	+	0.439650i
$94$			12.0982i			1.24783i
$95$	6.99593	−	13.7983i	0.717768	−	1.41568i
$96$	0.587785	+	0.809017i	0.0599906	+	0.0825700i
$97$	−4.86536	+	9.54880i	−0.494002	+	0.969534i	0.500591	+	0.865684i	$0.333116\pi$
$97$	−4.86536	+	9.54880i	−0.494002	+	0.969534i	−0.994593	+	0.103850i	$0.966884\pi$
$98$	−3.62226	+	3.62226i	−0.365903	+	0.365903i
$99$	5.17607			0.520214
$100$	−4.03332	+	2.95505i	−0.403332	+	0.295505i
$101$	2.94878	−	9.07541i	0.293415	−	0.903037i	−0.690335	−	0.723490i	$-0.742537\pi$
$101$	2.94878	−	9.07541i	0.293415	−	0.903037i	0.983749	−	0.179547i	$-0.0574633\pi$
$102$	−3.32204	+	1.69267i	−0.328931	+	0.167599i
$103$	0.589573	−	0.0933792i	0.0580924	−	0.00920093i	−0.127321	−	0.991862i	$-0.540638\pi$
$103$	0.589573	−	0.0933792i	0.0580924	−	0.00920093i	0.185413	+	0.982661i	$0.440638\pi$
$104$	−0.278580	−	0.857380i	−0.0273170	−	0.0840731i
$105$	−1.38548	+	2.73262i	−0.135209	+	0.266676i
$106$	−1.12953	−	1.55467i	−0.109710	−	0.151002i
$107$	8.23046	−	4.19363i	0.795669	−	0.405414i	−0.00838881	−	0.999965i	$-0.502670\pi$
$107$	8.23046	−	4.19363i	0.795669	−	0.405414i	0.804058	+	0.594551i	$0.202670\pi$
$108$	−0.987688	−	0.156434i	−0.0950404	−	0.0150529i
$109$	−1.67620	−	2.30709i	−0.160551	−	0.220979i	0.721161	−	0.692767i	$-0.243609\pi$
$109$	−1.67620	−	2.30709i	−0.160551	−	0.220979i	−0.881712	+	0.471788i	$0.843609\pi$
$110$	−6.82173	−	9.35000i	−0.650426	−	0.891487i
$111$	−7.47675	+	5.43218i	−0.709662	+	0.515599i
$112$	−0.214341	−	1.35330i	−0.0202533	−	0.127874i
$113$	0.952297	+	0.485220i	0.0895846	+	0.0456456i	0.498209	−	0.867057i	$-0.333991\pi$
$113$	0.952297	+	0.485220i	0.0895846	+	0.0456456i	−0.408624	+	0.912703i	$0.633991\pi$
$114$	−5.59728	−	4.06666i	−0.524233	−	0.380878i
$115$	−13.3894	+	9.76889i	−1.24857	+	0.910953i
$116$	−1.50513	−	0.489048i	−0.139748	−	0.0454069i
$117$	0.803245	+	0.409274i	0.0742600	+	0.0378374i
$118$	−0.0959492	+	0.0959492i	−0.00883284	+	0.00883284i
$119$	5.10855			0.468300
$120$	1.01913	+	1.99032i	0.0930333	+	0.181691i
$121$	12.7757	−	9.28212i	1.16143	−	0.843829i
$122$	−3.09023	+	0.489445i	−0.279777	+	0.0443123i
$123$	−6.64963	−	6.64963i	−0.599577	−	0.599577i
$124$	−5.14036	−	2.13933i	−0.461618	−	0.192117i
$125$	−9.93118	+	5.13533i	−0.888272	+	0.459318i
$126$	1.10849	+	0.805363i	0.0987519	+	0.0717474i
$127$	1.40565	−	8.87493i	0.124731	−	0.787523i	−0.843438	−	0.537227i	$-0.819472\pi$
$127$	1.40565	−	8.87493i	0.124731	−	0.787523i	0.968169	−	0.250296i	$-0.0805280\pi$
$128$	−0.891007	−	0.453990i	−0.0787546	−	0.0401275i
$129$			2.41483i			0.212614i
$130$	−0.319317	−	1.99037i	−0.0280060	−	0.174567i
$131$	−0.165354	−	0.508908i	−0.0144471	−	0.0444635i	0.943573	−	0.331164i	$-0.107441\pi$
$131$	−0.165354	−	0.508908i	−0.0144471	−	0.0444635i	−0.958020	+	0.286701i	$0.907441\pi$
$132$	−4.61191	+	2.34989i	−0.401415	+	0.204531i
$133$	4.30367	+	8.44643i	0.373176	+	0.732398i
$134$	3.75726	−	5.17142i	0.324578	−	0.446743i
$135$	−2.12800	−	0.686737i	−0.183149	−	0.0591049i
$136$	2.19151	−	3.01635i	0.187920	−	0.258650i
$137$	−1.94263	+	12.2653i	−0.165970	+	1.04789i	0.754277	+	0.656556i	$0.227987\pi$
$137$	−1.94263	+	12.2653i	−0.165970	+	1.04789i	−0.920247	+	0.391337i	$0.872013\pi$
$138$	3.36510	+	6.60437i	0.286456	+	0.562202i
$139$	−8.56178	+	6.22050i	−0.726201	+	0.527616i	−0.888359	−	0.459149i	$-0.848154\pi$
$139$	−8.56178	+	6.22050i	−0.726201	+	0.527616i	0.162158	+	0.986765i	$0.448154\pi$
$140$	−0.00611512	−	3.06378i	−0.000516822	−	0.258936i
$141$	11.5061	+	3.73855i	0.968986	+	0.314843i
$142$	10.8507	+	1.71859i	0.910574	+	0.144221i
$143$	4.60879	−	0.729961i	0.385407	−	0.0610424i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	−3.15628	−	1.60028i	−0.262115	−	0.132896i
$146$	3.58202	+	1.16387i	0.296450	+	0.0963223i
$147$	2.32563	+	4.56431i	0.191815	+	0.376458i
$148$	4.19568	−	8.23448i	0.344883	−	0.676870i
$149$		−	15.2107i		−	1.24611i	−0.782177	−	0.623056i	$-0.785891\pi$
$149$		−	15.2107i		−	1.24611i	0.782177	−	0.623056i	$-0.214109\pi$
$150$	1.56406	+	4.74908i	0.127705	+	0.387761i
$151$	−14.2919	+	4.64371i	−1.16306	+	0.377900i	−0.826046	−	0.563602i	$-0.809415\pi$
$151$	−14.2919	+	4.64371i	−1.16306	+	0.377900i	−0.337009	+	0.941502i	$0.609415\pi$
$152$	6.83344	+	1.08231i	0.554265	+	0.0877869i
$153$	0.583253	+	3.68252i	0.0471532	+	0.297714i
$154$	7.09207			0.571495
$155$	−10.6173	−	6.50170i	−0.852805	−	0.522229i
$156$	−0.901503			−0.0721780
$157$	−2.23394	−	14.1045i	−0.178288	−	1.12567i	−0.900777	−	0.434283i	$-0.857002\pi$
$157$	−2.23394	−	14.1045i	−0.178288	−	1.12567i	0.722489	−	0.691383i	$-0.242998\pi$
$158$	13.5136	+	2.14035i	1.07509	+	0.170277i
$159$	−1.82762	+	0.593829i	−0.144940	+	0.0470937i
$160$	−1.81164	−	1.31071i	−0.143222	−	0.103621i
$161$		−	10.1560i		−	0.800407i
$162$	−0.453990	+	0.891007i	−0.0356689	+	0.0700041i
$163$	7.20734	+	14.1452i	0.564522	+	1.10794i	0.980123	+	0.198390i	$0.0635712\pi$
$163$	7.20734	+	14.1452i	0.564522	+	1.10794i	−0.415601	+	0.909547i	$0.636429\pi$
$164$	8.94373	+	2.90599i	0.698388	+	0.226920i
$165$	−11.0004	+	3.59854i	−0.856381	+	0.280146i
$166$	−5.20014	+	1.68963i	−0.403609	+	0.131141i
$167$	−23.5018	+	3.72232i	−1.81862	+	0.288042i	−0.970384	−	0.241570i	$-0.922338\pi$
$167$	−23.5018	+	3.72232i	−1.81862	+	0.288042i	−0.848240	+	0.529611i	$0.822338\pi$
$168$	−1.35330	−	0.214341i	−0.104409	−	0.0165368i
$169$	−11.5908	−	3.76608i	−0.891600	−	0.289698i
$170$	5.88337	−	5.90690i	0.451234	−	0.453039i
$171$	−5.59728	+	4.06666i	−0.428035	+	0.310985i
$172$	−1.09631	−	2.15162i	−0.0835927	−	0.164060i
$173$	2.74984	−	17.3618i	0.209066	−	1.31999i	−0.630269	−	0.776377i	$-0.717055\pi$
$173$	2.74984	−	17.3618i	0.209066	−	1.31999i	0.839335	−	0.543615i	$-0.182945\pi$
$174$	−0.930224	+	1.28034i	−0.0705201	+	0.0970626i
$175$	1.04469	−	6.77071i	0.0789708	−	0.511817i
$176$	3.04242	−	4.18753i	0.229331	−	0.315647i
$177$	0.0616032	+	0.120903i	0.00463038	+	0.00908763i
$178$	−2.88213	+	1.46852i	−0.216025	+	0.110070i
$179$	0.439325	+	1.35210i	0.0328367	+	0.101061i	0.966132	−	0.258050i	$-0.0830800\pi$
$179$	0.439325	+	1.35210i	0.0328367	+	0.101061i	−0.933295	+	0.359111i	$0.883080\pi$
$180$	2.20784	−	0.354206i	0.164562	−	0.0264009i
$181$		−	15.0243i		−	1.11675i	−0.829589	−	0.558375i	$-0.811425\pi$
$181$		−	15.0243i		−	1.11675i	0.829589	−	0.558375i	$-0.188575\pi$
$182$	1.10058	+	0.560773i	0.0815803	+	0.0415672i
$183$	−0.489445	+	3.09023i	−0.0361808	+	0.228437i
$184$	−5.99665	−	4.35682i	−0.442079	−	0.321189i
$185$	12.1133	−	16.7427i	0.890589	−	1.23095i
$186$	−3.62308	+	4.22768i	−0.265657	+	0.309989i
$187$	13.6461	+	13.6461i	0.997904	+	0.997904i
$188$	−11.9493	+	1.89258i	−0.871489	+	0.138030i
$189$	1.10849	−	0.805363i	0.0806306	−	0.0585815i
$190$	14.7228	+	4.75127i	1.06811	+	0.344693i
$191$	−25.0040			−1.80922			−0.904612	−	0.426236i	$-0.859839\pi$
$191$	−25.0040			−1.80922			−0.904612	+	0.426236i	$0.859839\pi$
$192$	−0.707107	+	0.707107i	−0.0510310	+	0.0510310i
$193$	21.5031	+	10.9564i	1.54782	+	0.788655i	0.998885	−	0.0472075i	$-0.0150322\pi$
$193$	21.5031	+	10.9564i	1.54782	+	0.788655i	0.548938	+	0.835863i	$0.315032\pi$
$194$	−10.1924	−	3.31170i	−0.731768	−	0.237766i
$195$	−1.99163	−	0.311369i	−0.142624	−	0.0222976i
$196$	−4.14431	−	3.01102i	−0.296022	−	0.215073i
$197$	15.5181	+	7.90686i	1.10562	+	0.563340i	0.908856	−	0.417111i	$-0.136957\pi$
$197$	15.5181	+	7.90686i	1.10562	+	0.563340i	0.196762	+	0.980451i	$0.436957\pi$
$198$	0.809716	+	5.11234i	0.0575440	+	0.363318i
$199$	−10.4699	+	7.60680i	−0.742188	+	0.539231i	−0.893396	−	0.449271i	$-0.851684\pi$
$199$	−10.4699	+	7.60680i	−0.742188	+	0.539231i	0.151207	+	0.988502i	$0.451684\pi$
$200$	−3.54962	−	3.52139i	−0.250996	−	0.249000i
$201$	−3.75726	−	5.17142i	−0.265017	−	0.364764i
$202$	9.42497	+	1.49277i	0.663139	+	0.105031i
$203$	1.93207	−	0.984439i	0.135605	−	0.0690940i
$204$	−2.19151	−	3.01635i	−0.153436	−	0.211187i
$205$	18.7551	+	9.50908i	1.30991	+	0.664143i
$206$	0.184459	+	0.567707i	0.0128519	+	0.0395540i
$207$	7.32100	−	1.15953i	0.508845	−	0.0805931i
$208$	0.803245	−	0.409274i	0.0556950	−	0.0283780i
$209$	−11.0663	+	34.0585i	−0.765471	+	2.35588i
$210$	−2.91571	−	0.940943i	−0.201203	−	0.0649312i
$211$	−3.06906			−0.211283			−0.105641	−	0.994404i	$-0.533690\pi$
$211$	−3.06906			−0.211283			−0.105641	+	0.994404i	$0.533690\pi$
$212$	1.35883	−	1.35883i	0.0933246	−	0.0933246i
$213$	4.98754	−	9.78859i	0.341740	−	0.670703i
$214$	5.42953	+	7.47310i	0.371155	+	0.510851i
$215$	−1.67885	−	5.13209i	−0.114497	−	0.350006i
$216$		−	1.00000i		−	0.0680414i
$217$	7.05295	−	2.90756i	0.478785	−	0.197378i
$218$	2.01647	−	2.01647i	0.136573	−	0.136573i
$219$	2.21381	−	3.04704i	0.149595	−	0.205900i
$220$	8.16773	−	8.20040i	0.550668	−	0.552871i
$221$	1.03866	+	3.19667i	0.0698680	+	0.215031i
$222$	−6.53492	−	6.53492i	−0.438595	−	0.438595i
$223$	15.7075	+	15.7075i	1.05186	+	1.05186i	0.998580	+	0.0532751i	$0.0169660\pi$
$223$	15.7075	+	15.7075i	1.05186	+	1.05186i	0.0532751	+	0.998580i	$0.483034\pi$
$224$	1.30310	−	0.423404i	0.0870673	−	0.0282899i
$225$	4.99996	−	0.0199594i	0.333331	−	0.00133062i
$226$	−0.330274	+	1.01648i	−0.0219695	+	0.0676151i
$227$	−1.37439	−	8.67755i	−0.0912213	−	0.575949i	−0.990385	−	0.138337i	$-0.955824\pi$
$227$	−1.37439	−	8.67755i	−0.0912213	−	0.575949i	0.899164	−	0.437612i	$-0.144176\pi$
$228$	3.14099	−	6.16453i	0.208017	−	0.408256i
$229$	−12.4982	−	9.08051i	−0.825908	−	0.600057i	0.0924910	−	0.995714i	$-0.470517\pi$
$229$	−12.4982	−	9.08051i	−0.825908	−	0.600057i	−0.918399	+	0.395657i	$0.870517\pi$
$230$	−11.7432	−	11.6964i	−0.774323	−	0.771238i
$231$	2.19157	−	6.74496i	0.144195	−	0.443786i
$232$	0.247572	−	1.56311i	0.0162539	−	0.102623i
$233$	0.339461	−	2.14327i	0.0222388	−	0.140410i	−0.974071	−	0.226244i	$-0.927355\pi$
$233$	0.339461	−	2.14327i	0.0222388	−	0.140410i	0.996309	+	0.0858335i	$0.0273553\pi$
$234$	−0.278580	+	0.857380i	−0.0182113	+	0.0560487i
$235$	−27.0524	+	0.0539950i	−1.76470	+	0.00352224i
$236$	−0.109778	−	0.0797581i	−0.00714592	−	0.00519181i
$237$	6.21153	−	12.1908i	0.403482	−	0.791878i
$238$	0.799153	+	5.04565i	0.0518014	+	0.327061i
$239$	9.03980	−	27.8216i	0.584736	−	1.79963i	−0.0155922	−	0.999878i	$-0.504963\pi$
$239$	9.03980	−	27.8216i	0.584736	−	1.79963i	0.600328	−	0.799754i	$-0.295037\pi$
$240$	−1.80639	+	1.31794i	−0.116602	+	0.0850724i
$241$	−22.9405	+	7.45382i	−1.47773	+	0.480143i	−0.933433	−	0.358752i	$-0.883202\pi$
$241$	−22.9405	+	7.45382i	−1.47773	+	0.480143i	−0.544294	+	0.838895i	$0.683202\pi$
$242$	11.1664	+	11.1664i	0.717804	+	0.717804i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	−0.966838	−	2.97562i	−0.0618955	−	0.190495i
$245$	−8.11577	−	8.08343i	−0.518497	−	0.516432i
$246$	5.52753	−	7.60799i	0.352422	−	0.485068i
$247$	−4.41033	+	4.41033i	−0.280623	+	0.280623i
$248$	1.30886	−	5.41174i	0.0831128	−	0.343646i
$249$			5.46775i			0.346505i
$250$	−6.62568	−	9.00557i	−0.419045	−	0.569562i
$251$	2.49879	+	3.43929i	0.157722	+	0.217086i	0.880564	−	0.473928i	$-0.157164\pi$
$251$	2.49879	+	3.43929i	0.157722	+	0.217086i	−0.722841	+	0.691014i	$0.757164\pi$
$252$	−0.622042	+	1.22083i	−0.0391850	+	0.0769048i
$253$	27.1291	−	27.1291i	1.70559	−	1.70559i
$254$	8.98556			0.563804
$255$	−3.79974	−	7.42075i	−0.237949	−	0.464705i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	10.1678	−	5.18075i	0.634250	−	0.323167i	−0.107137	−	0.994244i	$-0.534168\pi$
$257$	10.1678	−	5.18075i	0.634250	−	0.323167i	0.741387	+	0.671078i	$0.234168\pi$
$258$	−2.38509	+	0.377762i	−0.148490	+	0.0235184i
$259$	3.91301	+	12.0430i	0.243142	+	0.748315i
$260$	1.91591	−	0.626749i	0.118820	−	0.0388693i
$261$	0.930224	+	1.28034i	0.0575794	+	0.0792513i
$262$	0.476776	−	0.242929i	0.0294553	−	0.0150082i
$263$	0.259313	+	0.0410711i	0.0159899	+	0.00253255i	0.164424	−	0.986390i	$-0.447423\pi$
$263$	0.259313	+	0.0410711i	0.0159899	+	0.00253255i	−0.148434	+	0.988922i	$0.547423\pi$
$264$	−3.04242	−	4.18753i	−0.187248	−	0.257725i
$265$	3.47129	−	2.53264i	0.213240	−	0.155579i
$266$	−7.66920	+	5.57200i	−0.470229	+	0.341641i
$267$	0.506017	+	3.19487i	0.0309678	+	0.195523i
$268$	5.69552	+	2.90201i	0.347909	+	0.177269i
$269$	5.71874	+	4.15491i	0.348678	+	0.253329i	0.748314	−	0.663345i	$-0.230864\pi$
$269$	5.71874	+	4.15491i	0.348678	+	0.253329i	−0.399636	+	0.916674i	$0.630864\pi$
$270$	0.345389	−	2.20923i	0.0210197	−	0.134450i
$271$	14.4373	+	4.69096i	0.877004	+	0.284956i	0.712713	−	0.701456i	$-0.247466\pi$
$271$	14.4373	+	4.69096i	0.877004	+	0.284956i	0.164291	+	0.986412i	$0.447466\pi$
$272$	3.32204	+	1.69267i	0.201429	+	0.102633i
$273$	0.873424	−	0.873424i	0.0528620	−	0.0528620i
$274$	−12.4182			−0.750209
$275$	20.8767	−	15.2955i	1.25892	−	0.922356i
$276$	−5.99665	+	4.35682i	−0.360956	+	0.262250i
$277$	−5.07542	+	0.803868i	−0.304952	+	0.0482997i	−0.307035	−	0.951698i	$-0.599337\pi$
$277$	−5.07542	+	0.803868i	−0.304952	+	0.0482997i	0.00208291	+	0.999998i	$0.499337\pi$
$278$	−7.48327	−	7.48327i	−0.448817	−	0.448817i
$279$	2.90117	+	4.75218i	0.173689	+	0.284506i
$280$	3.02510	−	0.485320i	0.180784	−	0.0290034i
$281$	−24.0155	−	17.4483i	−1.43264	−	1.04088i	−0.989517	−	0.144418i	$-0.953869\pi$
$281$	−24.0155	−	17.4483i	−1.43264	−	1.04088i	−0.443127	−	0.896459i	$-0.646131\pi$
$282$	−1.89258	+	11.9493i	−0.112701	+	0.711568i
$283$	−16.0307	−	8.16807i	−0.952929	−	0.485541i	−0.0928372	−	0.995681i	$-0.529594\pi$
$283$	−16.0307	−	8.16807i	−0.952929	−	0.485541i	−0.860091	+	0.510140i	$0.829594\pi$
$284$			10.9860i			0.651899i
$285$	9.06833	−	12.5340i	0.537162	−	0.742451i
$286$	1.44195	+	4.43786i	0.0852642	+	0.262416i
$287$	−11.4806	+	5.84968i	−0.677681	+	0.345296i
$288$	0.453990	+	0.891007i	0.0267516	+	0.0525031i
$289$	1.82149	−	2.50706i	0.107146	−	0.147474i
$290$	1.08682	−	3.36776i	0.0638205	−	0.197762i
$291$	−6.29922	+	8.67013i	−0.369267	+	0.508252i
$292$	−0.589188	+	3.71998i	−0.0344796	+	0.217696i
$293$	−1.14520	−	2.24757i	−0.0669030	−	0.131305i	0.855133	−	0.518409i	$-0.173475\pi$
$293$	−1.14520	−	2.24757i	−0.0669030	−	0.131305i	−0.922036	+	0.387104i	$0.873475\pi$
$294$	−4.14431	+	3.01102i	−0.241701	+	0.175606i
$295$	−0.214977	−	0.214120i	−0.0125164	−	0.0124666i
$296$	8.78945	+	2.85586i	0.510876	+	0.165994i
$297$	5.11234	+	0.809716i	0.296648	+	0.0469845i
$298$	15.0235	−	2.37948i	0.870286	−	0.137840i
$299$	6.35513	−	2.06491i	0.367527	−	0.119417i
$300$	−4.44594	+	2.28772i	−0.256686	+	0.132081i
$301$	3.14677	+	1.02245i	0.181377	+	0.0589329i
$302$	−6.82227	−	13.3895i	−0.392578	−	0.770477i
$303$	4.33218	−	8.50239i	0.248877	−	0.488450i
$304$			6.91862i			0.396810i
$305$	−1.10822	−	6.90777i	−0.0634566	−	0.395538i
$306$	−3.54594	+	1.15214i	−0.202708	+	0.0658637i
$307$	−27.8968	−	4.41842i	−1.59216	−	0.252173i	−0.703482	−	0.710713i	$-0.748373\pi$
$307$	−27.8968	−	4.41842i	−1.59216	−	0.252173i	−0.888674	+	0.458540i	$0.848373\pi$
$308$	1.10944	+	7.00475i	0.0632164	+	0.399133i
$309$	0.596922			0.0339577
$310$	4.76073	−	11.5037i	0.270392	−	0.653367i
$311$	−21.7144			−1.23131			−0.615655	−	0.788016i	$-0.711108\pi$
$311$	−21.7144			−1.23131			−0.615655	+	0.788016i	$0.711108\pi$
$312$	−0.141026	−	0.890404i	−0.00798403	−	0.0504092i
$313$	−7.39863	−	1.17183i	−0.418195	−	0.0662356i	−0.0562090	−	0.998419i	$-0.517901\pi$
$313$	−7.39863	−	1.17183i	−0.418195	−	0.0662356i	−0.361986	+	0.932183i	$0.617901\pi$
$314$	13.5814	−	4.41287i	0.766444	−	0.249033i
$315$	−1.79590	+	2.48224i	−0.101187	+	0.139858i
$316$			13.6821i			0.769676i
$317$	−0.239896	+	0.470822i	−0.0134739	+	0.0264440i	−0.897645	−	0.440719i	$-0.854724\pi$
$317$	−0.239896	+	0.470822i	−0.0134739	+	0.0264440i	0.884171	+	0.467163i	$0.154724\pi$
$318$	−0.872421	−	1.71222i	−0.0489229	−	0.0960167i
$319$	7.79068	+	2.53135i	0.436194	+	0.141728i
$320$	1.01117	−	1.99437i	0.0565264	−	0.111489i
$321$	8.78516	−	2.85447i	0.490340	−	0.159321i
$322$	10.0310	−	1.58875i	0.559005	−	0.0885377i
$323$	−25.4779	−	4.03530i	−1.41763	−	0.224530i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	4.44917	−	0.722897i	0.246796	−	0.0400991i
$326$	−12.8436	+	9.33140i	−0.711339	+	0.516818i
$327$	−1.29466	−	2.54090i	−0.0715946	−	0.140512i
$328$	−1.47111	+	9.28821i	−0.0812284	+	0.512856i
$329$	9.74345	−	13.4107i	0.537174	−	0.739356i
$330$	−5.27508	−	10.3020i	−0.290383	−	0.567109i
$331$	−0.595182	+	0.819198i	−0.0327142	+	0.0450272i	−0.825061	−	0.565044i	$-0.808859\pi$
$331$	−0.595182	+	0.819198i	−0.0327142	+	0.0450272i	0.792347	+	0.610071i	$0.208859\pi$
$332$	−2.48231	−	4.87180i	−0.136234	−	0.267375i
$333$	−8.23448	+	4.19568i	−0.451247	+	0.229922i
$334$	−7.35298	−	22.6302i	−0.402337	−	1.23827i
$335$	11.5804	+	8.37839i	0.632705	+	0.457760i
$336$		−	1.37017i		−	0.0747486i
$337$	−1.31786	−	0.671481i	−0.0717882	−	0.0365779i	0.417728	−	0.908572i	$-0.362827\pi$
$337$	−1.31786	−	0.671481i	−0.0717882	−	0.0365779i	−0.489516	+	0.871994i	$0.662827\pi$
$338$	1.90651	−	12.0372i	0.103701	−	0.654740i
$339$	0.864668	+	0.628218i	0.0469623	+	0.0341201i
$340$	6.75454	+	4.88689i	0.366316	+	0.265029i
$341$	26.6068	+	11.0733i	1.44084	+	0.599654i
$342$	−4.89220	−	4.89220i	−0.264540	−	0.264540i
$343$	16.4055	−	2.59838i	0.885815	−	0.140299i
$344$	1.95363	−	1.41940i	0.105333	−	0.0765288i
$345$	−14.7528	+	7.55405i	−0.794263	+	0.406696i
$346$	17.5782			0.945010
$347$	−24.9226	+	24.9226i	−1.33792	+	1.33792i	−0.439840	+	0.898076i	$0.644965\pi$
$347$	−24.9226	+	24.9226i	−1.33792	+	1.33792i	−0.898076	+	0.439840i	$0.855035\pi$
$348$	−1.41010	−	0.718482i	−0.0755893	−	0.0385147i
$349$	−25.4720	−	8.27636i	−1.36349	−	0.443023i	−0.466280	−	0.884637i	$-0.654406\pi$
$349$	−25.4720	−	8.27636i	−1.36349	−	0.443023i	−0.897205	+	0.441614i	$0.854406\pi$
$350$	6.85077	−	0.0273476i	0.366189	−	0.00146179i
$351$	0.729331	+	0.529890i	0.0389288	+	0.0282834i
$352$	4.61191	+	2.34989i	0.245816	+	0.125249i
$353$	0.0812215	+	0.512812i	0.00432298	+	0.0272942i	0.989756	−	0.142772i	$-0.0456017\pi$
$353$	0.0812215	+	0.512812i	0.00432298	+	0.0272942i	−0.985433	+	0.170067i	$0.945602\pi$
$354$	−0.109778	+	0.0797581i	−0.00583462	+	0.00423910i
$355$	−3.79444	+	24.2706i	−0.201388	+	1.28815i
$356$	−1.90130	−	2.61692i	−0.100769	−	0.138697i
$357$	5.04565	+	0.799153i	0.267044	+	0.0422957i
$358$	−1.26673	+	0.645431i	−0.0669488	+	0.0341121i
$359$	−4.81363	−	6.62540i	−0.254054	−	0.349675i	0.662872	−	0.748733i	$-0.269337\pi$
$359$	−4.81363	−	6.62540i	−0.254054	−	0.349675i	−0.916926	+	0.399058i	$0.869337\pi$
$360$	0.695226	+	2.12524i	0.0366416	+	0.112010i
$361$	−8.92047	−	27.4544i	−0.469499	−	1.44497i
$362$	14.8394	−	2.35032i	0.779939	−	0.123530i
$363$	14.0705	−	7.16928i	0.738510	−	0.376289i
$364$	−0.381700	+	1.17475i	−0.0200065	+	0.0615738i
$365$	−2.58649	+	8.01481i	−0.135383	+	0.419514i
$366$	−3.12875			−0.163543
$367$	25.0127	−	25.0127i	1.30565	−	1.30565i	0.381135	−	0.924519i	$-0.375533\pi$
$367$	25.0127	−	25.0127i	1.30565	−	1.30565i	0.924519	−	0.381135i	$-0.124467\pi$
$368$	3.36510	−	6.60437i	0.175418	−	0.344277i
$369$	−5.52753	−	7.60799i	−0.287752	−	0.396056i
$370$	18.4315	+	9.34505i	0.958210	+	0.485826i
$371$			2.63301i			0.136699i
$372$	−4.74241	−	2.91712i	−0.245882	−	0.151246i
$373$	8.88276	−	8.88276i	0.459932	−	0.459932i	−0.438701	−	0.898633i	$-0.644561\pi$
$373$	8.88276	−	8.88276i	0.459932	−	0.459932i	0.898633	+	0.438701i	$0.144561\pi$
$374$	−11.3434	+	15.6129i	−0.586553	+	0.807321i
$375$	−10.6123	+	3.51852i	−0.548015	+	0.181696i
$376$	−3.73855	−	11.5061i	−0.192801	−	0.593381i
$377$	1.00884	+	1.00884i	0.0519578	+	0.0519578i
$378$	0.968853	+	0.968853i	0.0498324	+	0.0498324i
$379$	−15.8171	+	5.13928i	−0.812469	+	0.263987i	−0.685643	−	0.727938i	$-0.740479\pi$
$379$	−15.8171	+	5.13928i	−0.812469	+	0.263987i	−0.126826	+	0.991925i	$0.540479\pi$
$380$	−2.38962	+	15.2848i	−0.122585	+	0.784095i
$381$	2.77669	−	8.54577i	0.142254	−	0.437813i
$382$	−3.91148	−	24.6961i	−0.200129	−	1.26356i
$383$	−6.33334	+	12.4299i	−0.323619	+	0.635137i	−0.994301	−	0.106607i	$-0.966001\pi$
$383$	−6.33334	+	12.4299i	−0.323619	+	0.635137i	0.670683	+	0.741745i	$0.266001\pi$
$384$	−0.809017	−	0.587785i	−0.0412850	−	0.0299953i
$385$	0.0316523	+	15.8583i	0.00161315	+	0.808215i
$386$	−7.45764	+	22.9523i	−0.379584	+	1.16824i
$387$	−0.377762	+	2.38509i	−0.0192027	+	0.121241i
$388$	1.67649	−	10.5849i	0.0851108	−	0.537368i
$389$	−5.90256	+	18.1662i	−0.299272	+	0.921063i	0.682482	+	0.730903i	$0.260901\pi$
$389$	−5.90256	+	18.1662i	−0.299272	+	0.921063i	−0.981753	+	0.190160i	$0.939099\pi$
$390$	−0.00402346	−	2.01582i	−0.000203736	−	0.102075i
$391$	22.3580	+	16.2440i	1.13069	+	0.821496i
$392$	2.32563	−	4.56431i	0.117462	−	0.230533i
$393$	−0.0837077	−	0.528510i	−0.00422250	−	0.0266598i
$394$	−5.38195	+	16.5639i	−0.271139	+	0.834479i
$395$	−4.72564	+	30.2268i	−0.237773	+	1.52088i
$396$	−4.92273	+	1.59949i	−0.247377	+	0.0803776i
$397$	16.3858	+	16.3858i	0.822379	+	0.822379i	0.986449	−	0.164070i	$-0.0524623\pi$
$397$	16.3858	+	16.3858i	0.822379	+	0.822379i	−0.164070	+	0.986449i	$0.552462\pi$
$398$	−9.15099	−	9.15099i	−0.458698	−	0.458698i
$399$	2.92937	+	9.01568i	0.146652	+	0.451349i
$400$	2.92276	−	4.05678i	0.146138	−	0.202839i
$401$	1.46052	−	2.01023i	0.0729348	−	0.100386i	−0.770991	−	0.636846i	$-0.780239\pi$
$401$	1.46052	−	2.01023i	0.0729348	−	0.100386i	0.843926	+	0.536460i	$0.180239\pi$
$402$	4.51999	−	4.51999i	0.225437	−	0.225437i
$403$	3.25340	+	3.82222i	0.162063	+	0.190398i
$404$			9.54246i			0.474755i
$405$	−1.99437	−	1.01117i	−0.0991012	−	0.0502457i
$406$	1.27456	+	1.75428i	0.0632554	+	0.0870636i
$407$	−21.7171	+	42.6222i	−1.07648	+	2.11271i
$408$	2.63639	−	2.63639i	0.130521	−	0.130521i
$409$	16.3930			0.810582			0.405291	−	0.914188i	$-0.367170\pi$
$409$	16.3930			0.810582			0.405291	+	0.914188i	$0.367170\pi$
$410$	−6.45807	+	20.0117i	−0.318941	+	0.988308i
$411$	−3.83742	+	11.8104i	−0.189286	+	0.582563i
$412$	−0.531862	+	0.270997i	−0.0262029	+	0.0133511i
$413$	0.183632	−	0.0290845i	0.00903596	−	0.00143116i
$414$	2.29051	+	7.04948i	0.112573	+	0.346463i
$415$	−3.80132	−	11.6203i	−0.186600	−	0.570418i
$416$	0.529890	+	0.729331i	0.0259800	+	0.0357584i
$417$	−9.42947	+	4.80456i	−0.461763	+	0.235280i
$418$	−35.3703	−	5.60211i	−1.73002	−	0.274008i
$419$	10.2857	+	14.1571i	0.502490	+	0.691618i	0.982630	−	0.185573i	$-0.0594142\pi$
$419$	10.2857	+	14.1571i	0.502490	+	0.691618i	−0.480140	+	0.877192i	$0.659414\pi$
$420$	0.473240	−	3.02701i	0.0230918	−	0.147703i
$421$	−11.7923	+	8.56763i	−0.574723	+	0.417561i	−0.836818	−	0.547482i	$-0.815587\pi$
$421$	−11.7923	+	8.56763i	−0.574723	+	0.417561i	0.262095	+	0.965042i	$0.415587\pi$
$422$	−0.480106	−	3.03127i	−0.0233712	−	0.147560i
$423$	10.7796	+	5.49247i	0.524121	+	0.267053i
$424$	1.55467	+	1.12953i	0.0755012	+	0.0548549i
$425$	13.2345	+	13.1292i	0.641966	+	0.636861i
$426$	10.4483	+	3.39486i	0.506222	+	0.164481i
$427$	3.81966	+	1.94622i	0.184847	+	0.0941840i
$428$	−6.53173	+	6.53173i	−0.315723	+	0.315723i
$429$	4.66624			0.225288
$430$	4.80628	−	2.46102i	0.231779	−	0.118681i
$431$	9.64140	−	7.00489i	0.464410	−	0.337414i	−0.330849	−	0.943684i	$-0.607335\pi$
$431$	9.64140	−	7.00489i	0.464410	−	0.337414i	0.795259	+	0.606270i	$0.207335\pi$
$432$	0.987688	−	0.156434i	0.0475202	−	0.00752646i
$433$	−7.48860	−	7.48860i	−0.359879	−	0.359879i	0.503889	−	0.863768i	$-0.331902\pi$
$433$	−7.48860	−	7.48860i	−0.359879	−	0.359879i	−0.863768	+	0.503889i	$0.831902\pi$
$434$	3.97508	+	6.51127i	0.190810	+	0.312551i
$435$	−2.86708	−	2.07433i	−0.137466	−	0.0994563i
$436$	2.30709	+	1.67620i	0.110490	+	0.0802755i
$437$	−8.02237	+	50.6512i	−0.383762	+	2.42298i
$438$	3.35585	+	1.70989i	0.160349	+	0.0817016i
$439$			25.4980i			1.21695i	0.793571	+	0.608477i	$0.208219\pi$
$439$			25.4980i			1.21695i	−0.793571	+	0.608477i	$0.791781\pi$
$440$	9.37716	+	6.78435i	0.447038	+	0.323431i
$441$	1.58299	+	4.87193i	0.0753802	+	0.231997i
$442$	−2.99483	+	1.52594i	−0.142450	+	0.0725817i
$443$	7.29375	+	14.3148i	0.346537	+	0.680116i	0.996829	−	0.0795673i	$-0.0253538\pi$
$443$	7.29375	+	14.3148i	0.346537	+	0.680116i	−0.650293	+	0.759684i	$0.725354\pi$
$444$	5.43218	−	7.47675i	0.257800	−	0.354831i
$445$	−3.29657	−	6.43808i	−0.156272	−	0.305194i
$446$	−13.0570	+	17.9714i	−0.618265	+	0.850969i
$447$	2.37948	−	15.0235i	0.112546	−	0.710586i
$448$	0.622042	+	1.22083i	0.0293887	+	0.0576786i
$449$	16.2893	−	11.8348i	0.768738	−	0.558521i	−0.132840	−	0.991137i	$-0.542410\pi$
$449$	16.2893	−	11.8348i	0.768738	−	0.558521i	0.901578	+	0.432617i	$0.142410\pi$
$450$	0.801880	+	4.93528i	0.0378010	+	0.232651i
$451$	−46.2933	−	15.0416i	−2.17987	−	0.708282i
$452$	−1.05563	−	0.167195i	−0.0496526	−	0.00786420i
$453$	−14.8423	+	2.35080i	−0.697354	+	0.110450i
$454$	8.35571	−	2.71493i	0.392153	−	0.127418i
$455$	−1.24901	+	2.46347i	−0.0585546	+	0.115489i
$456$	6.58000	+	2.13797i	0.308137	+	0.100120i
$457$	12.0631	+	23.6751i	0.564288	+	1.10748i	0.980189	+	0.198067i	$0.0634663\pi$
$457$	12.0631	+	23.6751i	0.564288	+	1.10748i	−0.415901	+	0.909410i	$0.636534\pi$
$458$	7.01356	−	13.7649i	0.327722	−	0.643191i
$459$			3.72842i			0.174028i
$460$	9.71536	−	13.4283i	0.452981	−	0.626099i
$461$	−3.58590	+	1.16513i	−0.167012	+	0.0542655i	−0.391330	−	0.920251i	$-0.627985\pi$
$461$	−3.58590	+	1.16513i	−0.167012	+	0.0542655i	0.224317	+	0.974516i	$0.427985\pi$
$462$	7.00475	+	1.10944i	0.325891	+	0.0516160i
$463$	−3.25591	−	20.5570i	−0.151315	−	0.955365i	−0.940150	−	0.340760i	$-0.889316\pi$
$463$	−3.25591	−	20.5570i	−0.151315	−	0.955365i	0.788835	−	0.614604i	$-0.210684\pi$
$464$	1.58259			0.0734700
$465$	−9.46953	−	8.08257i	−0.439139	−	0.374820i
$466$	2.16999			0.100523
$467$	0.500492	+	3.15998i	0.0231600	+	0.146227i	0.996559	−	0.0828920i	$-0.0264156\pi$
$467$	0.500492	+	3.15998i	0.0231600	+	0.146227i	−0.973399	+	0.229119i	$0.926416\pi$
$468$	−0.890404	−	0.141026i	−0.0411589	−	0.00651894i
$469$	−8.32974	+	2.70650i	−0.384632	+	0.124974i
$470$	−4.28525	−	26.7108i	−0.197664	−	1.23208i
$471$		−	14.2804i		−	0.658004i
$472$	0.0616032	−	0.120903i	0.00283552	−	0.00556501i
$473$	5.67456	+	11.1370i	0.260917	+	0.512078i
$474$	13.0124	+	4.22799i	0.597680	+	0.194198i
$475$	−10.5584	+	32.9424i	−0.484454	+	1.51150i
$476$	−4.85852	+	1.57863i	−0.222690	+	0.0723563i
$477$	−1.89801	+	0.300616i	−0.0869041	+	0.0137642i
$478$	28.8932	+	4.57624i	1.32155	+	0.209312i
$479$	24.2166	+	7.86844i	1.10648	+	0.359518i	0.804594	−	0.593825i	$-0.202383\pi$
$479$	24.2166	+	7.86844i	1.10648	+	0.359518i	0.301889	+	0.953343i	$0.402383\pi$
$480$	−1.58429	−	1.57798i	−0.0723127	−	0.0720246i
$481$	−6.74031	+	4.89712i	−0.307332	+	0.223290i
$482$	−10.9507	−	21.4920i	−0.498792	−	0.978935i
$483$	1.58875	−	10.0310i	0.0722907	−	0.456426i
$484$	−9.28212	+	12.7757i	−0.421915	+	0.580716i
$485$	7.35967	−	22.8055i	0.334186	−	1.03555i
$486$	−0.587785	+	0.809017i	−0.0266625	+	0.0366978i
$487$	−18.1069	−	35.5368i	−0.820503	−	1.61033i	−0.791832	−	0.610739i	$-0.790872\pi$
$487$	−18.1069	−	35.5368i	−0.820503	−	1.61033i	−0.0286713	−	0.999589i	$-0.509128\pi$
$488$	2.78774	−	1.42042i	0.126195	−	0.0642996i
$489$	4.90581	+	15.0985i	0.221848	+	0.682779i
$490$	6.71433	−	9.28038i	0.303322	−	0.419245i
$491$		−	9.48942i		−	0.428251i	−0.976806	−	0.214126i	$-0.931310\pi$
$491$		−	9.48942i		−	0.428251i	0.976806	−	0.214126i	$-0.0686902\pi$
$492$	8.37902	+	4.26932i	0.377755	+	0.192476i
$493$	−0.923052	+	5.82792i	−0.0415722	+	0.262476i
$494$	−5.04596	−	3.66611i	−0.227029	−	0.164946i
$495$	−11.4279	+	1.83339i	−0.513646	+	0.0824048i
$496$	5.54986	+	0.446165i	0.249196	+	0.0200334i
$497$	−10.6438	−	10.6438i	−0.477440	−	0.477440i
$498$	−5.40043	+	0.855345i	−0.241999	+	0.0383289i
$499$	−22.0900	+	16.0493i	−0.988886	+	0.718467i	−0.959677	−	0.281106i	$-0.909299\pi$
$499$	−22.0900	+	16.0493i	−0.988886	+	0.718467i	−0.0292089	+	0.999573i	$0.509299\pi$
$500$	7.85821	−	7.95289i	0.351430	−	0.355664i
$501$	−23.7948			−1.06307
$502$	−3.00605	+	3.00605i	−0.134166	+	0.134166i
$503$	32.5534	+	16.5868i	1.45149	+	0.739569i	0.989119	−	0.147120i	$-0.0470004\pi$
$503$	32.5534	+	16.5868i	1.45149	+	0.739569i	0.462367	+	0.886689i	$0.347000\pi$
$504$	−1.30310	−	0.423404i	−0.0580449	−	0.0188599i
$505$	−3.29586	+	21.0815i	−0.146664	+	0.938114i
$506$	31.0391	+	22.5512i	1.37985	+	1.00252i
$507$	−10.8590	−	5.53291i	−0.482263	−	0.245725i
$508$	1.40565	+	8.87493i	0.0623657	+	0.393761i
$509$	−12.4605	+	9.05307i	−0.552301	+	0.401270i	−0.828633	−	0.559792i	$-0.810881\pi$
$509$	−12.4605	+	9.05307i	−0.552301	+	0.401270i	0.276332	+	0.961062i	$0.410881\pi$
$510$	6.73498	−	4.91382i	0.298230	−	0.217587i
$511$	−3.03328	−	4.17495i	−0.134184	−	0.184689i
$512$	0.987688	+	0.156434i	0.0436501	+	0.00691349i
$513$	−6.16453	+	3.14099i	−0.272171	+	0.138678i
$514$	6.70756	+	9.23217i	0.295858	+	0.407214i
$515$	−1.26861	+	0.414996i	−0.0559014	+	0.0182869i
$516$	−0.746222	−	2.29664i	−0.0328506	−	0.101104i
$517$	61.8502	−	9.79610i	2.72017	−	0.430832i
$518$	−11.2826	+	5.74877i	−0.495729	+	0.252586i
$519$	5.43196	−	16.7179i	0.238437	−	0.733833i
$520$	0.918747	+	1.79428i	0.0402897	+	0.0786844i
$521$	−3.17008			−0.138884			−0.0694420	−	0.997586i	$-0.522122\pi$
$521$	−3.17008			−0.138884			−0.0694420	+	0.997586i	$0.522122\pi$
$522$	−1.11906	+	1.11906i	−0.0489800	+	0.0489800i
$523$	−13.4010	+	26.3009i	−0.585984	+	1.15006i	0.387621	+	0.921819i	$0.373297\pi$
$523$	−13.4010	+	26.3009i	−0.585984	+	1.15006i	−0.973605	+	0.228240i	$0.926703\pi$
$524$	0.314523	+	0.432903i	0.0137400	+	0.0189115i
$525$	2.09100	−	6.52392i	0.0912585	−	0.284727i
$526$			0.262545i			0.0114475i
$527$	−4.87998	+	20.1772i	−0.212575	+	0.878933i
$528$	3.66003	−	3.66003i	0.159283	−	0.159283i
$529$	18.7748	−	25.8413i	0.816296	−	1.12354i
$530$	3.04449	+	3.03236i	0.132244	+	0.131717i
$531$	0.0419313	+	0.129051i	0.00181967	+	0.00560035i
$532$	−6.70312	−	6.70312i	−0.290617	−	0.290617i
$533$	−5.99466	−	5.99466i	−0.259657	−	0.259657i
$534$	−3.07638	+	0.999575i	−0.133128	+	0.0432558i
$535$	−16.6861	+	12.1741i	−0.721403	+	0.526333i
$536$	−1.97531	+	6.07937i	−0.0853203	+	0.262589i
$537$	0.222400	+	1.40418i	0.00959729	+	0.0605949i
$538$	−3.20915	+	6.29830i	−0.138356	+	0.271539i
$539$	21.4512	+	15.5852i	0.923970	+	0.671303i
$540$	2.23606	−	0.00446306i	0.0962249	−	0.000192059i
$541$	9.45361	−	29.0952i	0.406442	−	1.25090i	−0.513242	−	0.858244i	$-0.671556\pi$
$541$	9.45361	−	29.0952i	0.406442	−	1.25090i	0.919685	−	0.392658i	$-0.128444\pi$
$542$	−2.37472	+	14.9934i	−0.102003	+	0.644021i
$543$	2.35032	−	14.8394i	0.100862	−	0.636818i
$544$	−1.15214	+	3.54594i	−0.0493978	+	0.152031i
$545$	4.51796	+	4.49996i	0.193528	+	0.192757i
$546$	0.999304	+	0.726037i	0.0427663	+	0.0310715i
$547$	−7.01454	+	13.7668i	−0.299920	+	0.588626i	−0.990955	−	0.134195i	$-0.957155\pi$
$547$	−7.01454	+	13.7668i	−0.299920	+	0.588626i	0.691035	+	0.722821i	$0.257155\pi$
$548$	−1.94263	−	12.2653i	−0.0829850	−	0.523947i
$549$	−0.966838	+	2.97562i	−0.0412636	+	0.126996i
$550$	18.3731	+	18.2270i	0.783430	+	0.777201i
$551$	−10.4134	+	3.38353i	−0.443628	+	0.144143i
$552$	−5.24126	−	5.24126i	−0.223083	−	0.223083i
$553$	−13.2559	−	13.2559i	−0.563699	−	0.563699i
$554$	−1.58794	−	4.88718i	−0.0674652	−	0.207636i
$555$	14.5833	−	14.6417i	0.619028	−	0.621504i
$556$	6.22050	−	8.56178i	0.263808	−	0.363100i
$557$	−4.36902	+	4.36902i	−0.185121	+	0.185121i	−0.793583	−	0.608462i	$-0.791787\pi$
$557$	−4.36902	+	4.36902i	−0.185121	+	0.185121i	0.608462	+	0.793583i	$0.291787\pi$
$558$	−4.23983	+	3.60886i	−0.179486	+	0.152775i
$559$			2.17697i			0.0920761i
$560$	0.952575	+	2.91193i	0.0402536	+	0.123052i
$561$	11.3434	+	15.6129i	0.478919	+	0.659175i
$562$	13.4766	−	26.4493i	0.568476	−	1.11570i
$563$	8.70481	−	8.70481i	0.366864	−	0.366864i	−0.499468	−	0.866332i	$-0.666471\pi$
$563$	8.70481	−	8.70481i	0.366864	−	0.366864i	0.866332	+	0.499468i	$0.166471\pi$
$564$	−12.0982			−0.509426
$565$	−2.27438	−	0.733976i	−0.0956840	−	0.0308786i
$566$	5.55975	−	17.1111i	0.233694	−	0.719235i
$567$	1.22083	−	0.622042i	0.0512699	−	0.0261233i
$568$	−10.8507	+	1.71859i	−0.455287	+	0.0721103i
$569$	−9.44891	−	29.0808i	−0.396119	−	1.21913i	−0.928087	−	0.372364i	$-0.878547\pi$
$569$	−9.44891	−	29.0808i	−0.396119	−	1.21913i	0.531968	−	0.846765i	$-0.321453\pi$
$570$	13.7983	+	6.99593i	0.577947	+	0.293027i
$571$	−8.02125	−	11.0403i	−0.335679	−	0.462023i	0.607494	−	0.794324i	$-0.292175\pi$
$571$	−8.02125	−	11.0403i	−0.335679	−	0.462023i	−0.943173	+	0.332302i	$0.892175\pi$
$572$	−4.15765	+	2.11843i	−0.173840	+	0.0885760i
$573$	−24.6961	−	3.91148i	−1.03170	−	0.163405i
$574$	−7.57363	−	10.4242i	−0.316117	−	0.435098i
$575$	26.1015	−	26.3107i	1.08851	−	1.09723i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	2.04334	+	12.9011i	0.0850654	+	0.537082i	0.993014	+	0.117999i	$0.0376481\pi$
$577$	2.04334	+	12.9011i	0.0850654	+	0.537082i	−0.907948	+	0.419082i	$0.862352\pi$
$578$	2.76114	+	1.40687i	0.114848	+	0.0585181i
$579$	19.5244	+	14.1853i	0.811405	+	0.589520i
$580$	3.49631	+	0.546610i	0.145176	+	0.0226968i
$581$	7.12505	+	2.31507i	0.295597	+	0.0960453i
$582$	−9.54880	−	4.86536i	−0.395811	−	0.201676i
$583$	−7.03338	+	7.03338i	−0.291293	+	0.291293i
$584$	−3.76635			−0.155853
$585$	−1.91840	−	0.619095i	−0.0793161	−	0.0255964i
$586$	2.04075	−	1.48269i	0.0843027	−	0.0612495i
$587$	24.5620	−	3.89023i	1.01378	−	0.160567i	0.372628	−	0.927981i	$-0.378457\pi$
$587$	24.5620	−	3.89023i	1.01378	−	0.160567i	0.641152	+	0.767413i	$0.278457\pi$
$588$	−3.62226	−	3.62226i	−0.149379	−	0.149379i
$589$	−37.4719	+	8.92967i	−1.54400	+	0.367941i
$590$	0.177854	−	0.245826i	0.00732215	−	0.0101205i
$591$	14.0901	+	10.2371i	0.579590	+	0.421097i
$592$	−1.44573	+	9.12799i	−0.0594192	+	0.375158i
$593$	35.9043	+	18.2942i	1.47441	+	0.751251i	0.992183	−	0.124793i	$-0.0398268\pi$
$593$	35.9043	+	18.2942i	1.47441	+	0.751251i	0.482230	+	0.876044i	$0.339827\pi$
$594$			5.17607i			0.212377i
$595$	−11.2788	+	1.80948i	−0.462387	+	0.0741813i
$596$	4.70038	+	14.4663i	0.192535	+	0.592561i
$597$	−11.5309	+	5.87530i	−0.471929	+	0.240460i
$598$	3.03364	+	5.95386i	0.124055	+	0.243472i
$599$	−18.4536	+	25.3992i	−0.753993	+	1.03778i	0.243696	+	0.969852i	$0.421640\pi$
$599$	−18.4536	+	25.3992i	−0.753993	+	1.03778i	−0.997690	+	0.0679315i	$0.978360\pi$
$600$	−2.95505	−	4.03332i	−0.120639	−	0.164660i
$601$	20.2432	−	27.8624i	0.825738	−	1.13653i	−0.162963	−	0.986632i	$-0.552105\pi$
$601$	20.2432	−	27.8624i	0.825738	−	1.13653i	0.988701	−	0.149899i	$-0.0478949\pi$
$602$	−0.517596	+	3.26797i	−0.0210956	+	0.133193i
$603$	−2.90201	−	5.69552i	−0.118179	−	0.231939i
$604$	12.1574	−	8.83286i	0.494677	−	0.359404i
$605$	−24.9190	+	25.0186i	−1.01310	+	1.01715i
$606$	9.07541	+	2.94878i	0.368664	+	0.119786i
$607$	−34.0026	−	5.38548i	−1.38012	−	0.218590i	−0.578140	−	0.815938i	$-0.696221\pi$
$607$	−34.0026	−	5.38548i	−1.38012	−	0.218590i	−0.801982	+	0.597348i	$0.796221\pi$
$608$	−6.83344	+	1.08231i	−0.277132	+	0.0438935i
$609$	2.06228	−	0.670076i	0.0835679	−	0.0271529i
$610$	6.64936	−	2.17519i	0.269225	−	0.0880709i
$611$	10.3728	+	3.37031i	0.419637	+	0.136348i
$612$	−1.69267	−	3.32204i	−0.0684220	−	0.134286i
$613$	−2.94391	+	5.77776i	−0.118904	+	0.233361i	−0.942785	−	0.333400i	$-0.891804\pi$
$613$	−2.94391	+	5.77776i	−0.118904	+	0.233361i	0.823882	+	0.566762i	$0.191804\pi$
$614$		−	28.2446i		−	1.13986i
$615$	17.0366	+	12.3259i	0.686983	+	0.497030i
$616$	−6.74496	+	2.19157i	−0.271762	+	0.0883009i
$617$	9.36881	+	1.48387i	0.377174	+	0.0597385i	0.342144	−	0.939648i	$-0.388847\pi$
$617$	9.36881	+	1.48387i	0.377174	+	0.0597385i	0.0350307	+	0.999386i	$0.488847\pi$
$618$	0.0933792	+	0.589573i	0.00375626	+	0.0237161i
$619$	−20.3420			−0.817616			−0.408808	−	0.912620i	$-0.634055\pi$
$619$	−20.3420			−0.817616			−0.408808	+	0.912620i	$0.634055\pi$
$620$	12.1068	+	2.90254i	0.486222	+	0.116569i
$621$	7.41226			0.297444
$622$	−3.39688	−	21.4470i	−0.136202	−	0.859948i
$623$	4.37750	+	0.693327i	0.175381	+	0.0277776i
$624$	0.857380	−	0.278580i	0.0343227	−	0.0111521i
$625$	20.1075	−	14.8556i	0.804299	−	0.594225i
$626$		−	7.49086i		−	0.299395i
$627$	−16.2580	+	31.9080i	−0.649280	+	1.27428i
$628$	6.48315	+	12.7239i	0.258706	+	0.507739i
$629$	−32.7707	−	10.6479i	−1.30665	−	0.424558i
$630$	−2.73262	−	1.38548i	−0.108870	−	0.0551987i
$631$	−35.8381	+	11.6445i	−1.42669	+	0.463561i	−0.917722	−	0.397222i	$-0.869974\pi$
$631$	−35.8381	+	11.6445i	−1.42669	+	0.463561i	−0.508972	+	0.860783i	$0.669974\pi$
$632$	−13.5136	+	2.14035i	−0.537543	+	0.0851384i
$633$	−3.03127	−	0.480106i	−0.120482	−	0.0190825i
$634$	−0.502554	−	0.163290i	−0.0199590	−	0.00648506i
$635$	0.0401031	+	20.0923i	0.00159144	+	0.797338i
$636$	1.55467	−	1.12953i	0.0616465	−	0.0447888i
$637$	2.09657	+	4.11474i	0.0830689	+	0.163032i
$638$	−1.28145	+	8.09075i	−0.0507331	+	0.320316i
$639$	6.45740	−	8.88785i	0.255451	−	0.351598i
$640$	2.12800	+	0.686737i	0.0841167	+	0.0271457i
$641$	19.0518	−	26.2225i	0.752499	−	1.03573i	−0.245302	−	0.969447i	$-0.578887\pi$
$641$	19.0518	−	26.2225i	0.752499	−	1.03573i	0.997801	−	0.0662795i	$-0.0211129\pi$
$642$	4.19363	+	8.23046i	0.165509	+	0.324830i
$643$	3.17836	−	1.61945i	0.125342	−	0.0638650i	−0.390195	−	0.920732i	$-0.627592\pi$
$643$	3.17836	−	1.61945i	0.125342	−	0.0638650i	0.515537	+	0.856867i	$0.327592\pi$
$644$	3.13838	+	9.65895i	0.123670	+	0.380616i
$645$	−0.855344	−	5.33154i	−0.0336792	−	0.209929i
$646$		−	25.7955i		−	1.01491i
$647$	−30.7276	−	15.6565i	−1.20803	−	0.615520i	−0.270260	−	0.962787i	$-0.587110\pi$
$647$	−30.7276	−	15.6565i	−1.20803	−	0.615520i	−0.937766	+	0.347267i	$0.887110\pi$
$648$	0.156434	−	0.987688i	0.00614533	−	0.0388001i
$649$	0.568217	+	0.412834i	0.0223045	+	0.0162051i
$650$	1.41000	+	4.28131i	0.0553048	+	0.167927i
$651$	7.42095	−	1.76843i	0.290850	−	0.0693104i
$652$	−11.2257	−	11.2257i	−0.439632	−	0.439632i
$653$	−5.55474	+	0.879784i	−0.217374	+	0.0344286i	−0.264171	−	0.964476i	$-0.585098\pi$
$653$	−5.55474	+	0.879784i	−0.217374	+	0.0344286i	0.0467975	+	0.998904i	$0.485098\pi$
$654$	2.30709	−	1.67620i	0.0902145	−	0.0655447i
$655$	0.545333	+	1.06502i	0.0213079	+	0.0416136i
$656$	−9.40399			−0.367164
$657$	2.66321	−	2.66321i	0.103902	−	0.103902i
$658$	14.7698	+	7.52559i	0.575787	+	0.293378i
$659$	−45.3247	−	14.7269i	−1.76560	−	0.573678i	−0.767843	−	0.640638i	$-0.778670\pi$
$659$	−45.3247	−	14.7269i	−1.76560	−	0.573678i	−0.997756	+	0.0669607i	$0.978670\pi$
$660$	9.35000	−	6.82173i	0.363948	−	0.265535i
$661$	22.8566	+	16.6063i	0.889019	+	0.645910i	0.935622	−	0.353004i	$-0.114840\pi$
$661$	22.8566	+	16.6063i	0.889019	+	0.645910i	−0.0466033	+	0.998913i	$0.514840\pi$
$662$	−0.902219	−	0.459704i	−0.0350657	−	0.0178669i
$663$	0.525804	+	3.31980i	0.0204206	+	0.128930i
$664$	4.42350	−	3.21386i	0.171665	−	0.124722i
$665$	−12.4936	−	17.1239i	−0.484480	−	0.664038i
$666$	−5.43218	−	7.47675i	−0.210493	−	0.289718i
$667$	11.5862	+	1.83507i	0.448618	+	0.0710541i
$668$	21.2013	−	10.8026i	0.820302	−	0.417965i
$669$	13.0570	+	17.9714i	0.504811	+	0.694813i
$670$	−6.46366	+	12.7485i	−0.249713	+	0.492517i
$671$	5.00442	+	15.4020i	0.193194	+	0.594589i
$672$	1.35330	−	0.214341i	0.0522045	−	0.00826839i
$673$	9.86126	−	5.02456i	0.380124	−	0.193683i	−0.253480	−	0.967341i	$-0.581575\pi$
$673$	9.86126	−	5.02456i	0.380124	−	0.193683i	0.633603	+	0.773658i	$0.281575\pi$
$674$	0.457056	−	1.40667i	0.0176051	−	0.0541830i
$675$	4.94152	+	0.762452i	0.190199	+	0.0293468i
$676$	12.1873			0.468742
$677$	4.98207	−	4.98207i	0.191477	−	0.191477i	−0.604857	−	0.796334i	$-0.706770\pi$
$677$	4.98207	−	4.98207i	0.191477	−	0.191477i	0.796334	+	0.604857i	$0.206770\pi$
$678$	−0.485220	+	0.952297i	−0.0186347	+	0.0365728i
$679$	8.63097	+	11.8795i	0.331226	+	0.455894i
$680$	−3.77008	+	7.43586i	−0.144576	+	0.285152i
$681$		−	8.78571i		−	0.336669i
$682$	−6.77476	+	28.0115i	−0.259419	+	1.07262i
$683$	−31.2585	+	31.2585i	−1.19607	+	1.19607i	−0.220738	+	0.975333i	$0.570847\pi$
$683$	−31.2585	+	31.2585i	−1.19607	+	1.19607i	−0.975333	+	0.220738i	$0.929153\pi$
$684$	4.06666	−	5.59728i	0.155493	−	0.214017i
$685$	−0.0554230	−	27.7678i	−0.00211760	−	1.06095i
$686$	5.13278	+	15.7971i	0.195971	+	0.603135i
$687$	−10.9239	−	10.9239i	−0.416772	−	0.416772i
$688$	1.70754	+	1.70754i	0.0650993	+	0.0650993i
$689$	−1.64760	+	0.535339i	−0.0627687	+	0.0203948i
$690$	−9.76889	−	13.3894i	−0.371895	−	0.509727i
$691$	6.38327	−	19.6457i	0.242831	−	0.747358i	−0.753154	−	0.657844i	$-0.771469\pi$
$691$	6.38327	−	19.6457i	0.242831	−	0.747358i	0.995986	−	0.0895137i	$-0.0285313\pi$
$692$	2.74984	+	17.3618i	0.104533	+	0.659996i
$693$	3.21973	−	6.31908i	0.122308	−	0.240042i
$694$	−28.5145	−	20.7170i	−1.08240	−	0.786407i
$695$	16.6997	−	16.7665i	0.633455	−	0.635988i
$696$	0.489048	−	1.50513i	0.0185373	−	0.0570520i
$697$	5.48491	−	34.6303i	0.207756	−	1.31172i
$698$	4.18976	−	26.4531i	0.158585	−	1.00127i
$699$	0.670564	−	2.06378i	0.0253630	−	0.0780594i
$700$	1.09871	+	6.76215i	0.0415272	+	0.255585i
$701$	21.7046	+	15.7693i	0.819771	+	0.595598i	0.916647	−	0.399698i	$-0.130885\pi$
$701$	21.7046	+	15.7693i	0.819771	+	0.595598i	−0.0968761	+	0.995296i	$0.530885\pi$
$702$	−0.409274	+	0.803245i	−0.0154470	+	0.0303165i
$703$	−10.0025	−	63.1531i	−0.377250	−	2.38186i
$704$	−1.59949	+	4.92273i	−0.0602832	+	0.185533i
$705$	−26.7277	−	4.17859i	−1.00663	−	0.157375i
$706$	−0.493793	+	0.160443i	−0.0185841	+	0.00603835i
$707$	−9.24524	−	9.24524i	−0.347703	−	0.347703i
$708$	−0.0959492	−	0.0959492i	−0.00360599	−	0.00360599i
$709$	8.70246	+	26.7834i	0.326828	+	1.00587i	0.970609	+	0.240663i	$0.0773648\pi$
$709$	8.70246	+	26.7834i	0.326828	+	1.00587i	−0.643781	+	0.765210i	$0.722635\pi$
$710$	−24.5654	+	0.0490311i	−0.921922	+	0.00184010i
$711$	8.04211	−	11.0690i	0.301603	−	0.415121i
$712$	2.28727	−	2.28727i	0.0857192	−	0.0857192i
$713$	40.1132	+	9.70162i	1.50225	+	0.363329i
$714$			5.10855i			0.191183i
$715$	−9.91690	+	3.24409i	−0.370871	+	0.121322i
$716$	−0.835645	−	1.15017i	−0.0312295	−	0.0429838i
$717$	13.2808	−	26.0650i	0.495979	−	0.973414i
$718$	5.79081	−	5.79081i	0.216111	−	0.216111i
$719$	15.1220			0.563956			0.281978	−	0.959421i	$-0.409009\pi$
$719$	15.1220			0.563956			0.281978	+	0.959421i	$0.409009\pi$
$720$	−1.99032	+	1.01913i	−0.0741749	+	0.0379807i
$721$	0.252739	−	0.777852i	0.00941251	−	0.0289687i
$722$	25.7209	−	13.1055i	0.957234	−	0.487735i
$723$	−23.8241	+	3.77336i	−0.886027	+	0.140333i
$724$	4.64277	+	14.2890i	0.172547	+	0.531046i
$725$	7.53537	+	2.41518i	0.279857	+	0.0896975i
$726$	9.28212	+	12.7757i	0.344492	+	0.474152i
$727$	−7.39589	+	3.76839i	−0.274298	+	0.139762i	−0.585729	−	0.810507i	$-0.699192\pi$
$727$	−7.39589	+	3.76839i	−0.274298	+	0.139762i	0.311431	+	0.950269i	$0.399192\pi$
$728$	−1.22000	−	0.193229i	−0.0452162	−	0.00716155i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−8.32075	−	1.30086i	−0.307965	−	0.0481469i
$731$	−7.28397	+	5.29211i	−0.269407	+	0.195736i
$732$	−0.489445	−	3.09023i	−0.0180904	−	0.114218i
$733$	7.44920	+	3.79556i	0.275142	+	0.140192i	0.586118	−	0.810226i	$-0.300656\pi$
$733$	7.44920	+	3.79556i	0.275142	+	0.140192i	−0.310975	+	0.950418i	$0.600656\pi$
$734$	28.6176	+	20.7919i	1.05630	+	0.767444i
$735$	−6.75132	−	9.25350i	−0.249026	−	0.341320i
$736$	7.04948	+	2.29051i	0.259847	+	0.0844295i
$737$	−29.4804	−	15.0210i	−1.08592	−	0.553306i
$738$	6.64963	−	6.64963i	0.244776	−	0.244776i
$739$	22.1626			0.815263			0.407632	−	0.913146i	$-0.366355\pi$
$739$	22.1626			0.815263			0.407632	+	0.913146i	$0.366355\pi$
$740$	−6.34667	+	19.6665i	−0.233308	+	0.722955i
$741$	−5.04596	+	3.66611i	−0.185368	+	0.134678i
$742$	−2.60059	+	0.411893i	−0.0954707	+	0.0151211i
$743$	8.95377	+	8.95377i	0.328482	+	0.328482i	0.852009	−	0.523527i	$-0.175384\pi$
$743$	8.95377	+	8.95377i	0.328482	+	0.328482i	−0.523527	+	0.852009i	$0.675384\pi$
$744$	2.13933	−	5.14036i	0.0784316	−	0.188455i
$745$	5.38773	+	33.5828i	0.197391	+	1.23038i
$746$	10.1630	+	7.38383i	0.372093	+	0.270341i
$747$	−0.855345	+	5.40043i	−0.0312954	+	0.197592i
$748$	−17.1951	−	8.76136i	−0.628716	−	0.320347i
$749$		−	12.6566i		−	0.462461i
$750$	−5.13533	−	9.93118i	−0.187516	−	0.362636i
$751$	5.43549	+	16.7287i	0.198344	+	0.610440i	0.999921	+	0.0125488i	$0.00399451\pi$
$751$	5.43549	+	16.7287i	0.198344	+	0.610440i	−0.801577	+	0.597891i	$0.796005\pi$
$752$	10.7796	−	5.49247i	0.393091	−	0.200290i
$753$	1.93000	+	3.78784i	0.0703331	+	0.138037i
$754$	−0.838600	+	1.15423i	−0.0305400	+	0.0420347i
$755$	29.9093	−	15.3148i	1.08851	−	0.557363i
$756$	−0.805363	+	1.10849i	−0.0292908	+	0.0403153i
$757$	0.311899	−	1.96925i	0.0113361	−	0.0715736i	−0.981372	−	0.192119i	$-0.938464\pi$
$757$	0.311899	−	1.96925i	0.0113361	−	0.0715736i	0.992708	+	0.120545i	$0.0384642\pi$
$758$	−7.55035	−	14.8184i	−0.274241	−	0.538228i
$759$	31.0391	−	22.5512i	1.12665	−	0.818556i
$760$	−15.4705	+	0.0308782i	−0.561173	+	0.00112007i
$761$	−10.9424	−	3.55539i	−0.396661	−	0.128883i	0.103893	−	0.994589i	$-0.466870\pi$
$761$	−10.9424	−	3.55539i	−0.396661	−	0.128883i	−0.500554	+	0.865706i	$0.666870\pi$
$762$	8.87493	+	1.40565i	0.321505	+	0.0509214i
$763$	−3.85923	+	0.611242i	−0.139713	+	0.0221284i
$764$	23.7802	−	7.72665i	0.860337	−	0.279540i
$765$	−2.59209	−	7.92380i	−0.0937174	−	0.286485i
$766$	−13.2676	−	4.31091i	−0.479378	−	0.155759i
$767$	0.0555355	+	0.108994i	0.00200527	+	0.00393556i
$768$	0.453990	−	0.891007i	0.0163820	−	0.0321514i
$769$		−	33.0320i		−	1.19116i	−0.803294	−	0.595582i	$-0.796921\pi$
$769$		−	33.0320i		−	1.19116i	0.803294	−	0.595582i	$-0.203079\pi$
$770$	−15.6581	+	2.51205i	−0.564280	+	0.0905280i
$771$	10.8531	−	3.52638i	0.390864	−	0.126999i
$772$	−23.8363	−	3.77530i	−0.857888	−	0.135876i
$773$	2.95072	+	18.6301i	0.106130	+	0.670079i	0.982192	+	0.187880i	$0.0601616\pi$
$773$	2.95072	+	18.6301i	0.106130	+	0.670079i	−0.876062	+	0.482199i	$0.839838\pi$
$774$	−2.41483			−0.0867991
$775$	25.7443	+	10.5940i	0.924762	+	0.380546i
$776$	10.7169			0.384713
$777$	1.98089	+	12.5069i	0.0710641	+	0.448681i
$778$	−18.8659	−	2.98807i	−0.676376	−	0.107127i
$779$	61.8782	−	20.1055i	2.21702	−	0.720353i
$780$	1.99037	−	0.319317i	0.0712667	−	0.0114334i
$781$		−	56.8642i		−	2.03476i
$782$	−12.5465	+	24.6239i	−0.448661	+	0.880548i
$783$	0.718482	+	1.41010i	0.0256764	+	0.0503929i
$784$	4.87193	+	1.58299i	0.173997	+	0.0565352i
$785$	9.92808	+	30.3492i	0.354348	+	1.08321i
$786$	0.508908	−	0.165354i	0.0181522	−	0.00589799i
$787$	23.1213	−	3.66205i	0.824185	−	0.130538i	0.269925	−	0.962881i	$-0.413001\pi$
$787$	23.1213	−	3.66205i	0.824185	−	0.130538i	0.554260	+	0.832343i	$0.313001\pi$
$788$	−17.2019	−	2.72452i	−0.612793	−	0.0970569i
$789$	0.249695	+	0.0811308i	0.00888938	+	0.00288833i
$790$	−30.5940	+	0.0610638i	−1.08848	+	0.00217255i
$791$	1.18474	−	0.860762i	0.0421244	−	0.0306052i
$792$	−2.34989	−	4.61191i	−0.0834996	−	0.163877i
$793$	−0.441236	+	2.78586i	−0.0156688	+	0.0989286i
$794$	−13.6207	+	18.7473i	−0.483382	+	0.665318i
$795$	3.82474	−	1.95843i	0.135650	−	0.0694584i
$796$	7.60680	−	10.4699i	0.269616	−	0.371094i
$797$	−18.1078	−	35.5386i	−0.641411	−	1.25884i	−0.951358	−	0.308086i	$-0.900311\pi$
$797$	−18.1078	−	35.5386i	−0.641411	−	1.25884i	0.309947	−	0.950754i	$-0.399689\pi$
$798$	−8.44643	+	4.30367i	−0.299000	+	0.152348i
$799$	13.9389	+	42.8995i	0.493122	+	1.51767i
$800$	4.46406	+	2.25215i	0.157828	+	0.0796255i
$801$			3.23469i			0.114292i
$802$	2.21396	+	1.12807i	0.0781775	+	0.0398334i
$803$	3.04968	−	19.2549i	0.107621	−	0.679490i
$804$	5.17142	+	3.75726i	0.182382	+	0.132508i
$805$	3.59732	+	22.4228i	0.126789	+	0.790301i
$806$	−3.26622	+	3.81127i	−0.115048	+	0.134246i
$807$	4.99836	+	4.99836i	0.175951	+	0.175951i
$808$	−9.42497	+	1.49277i	−0.331569	+	0.0525154i
$809$	−22.1022	+	16.0582i	−0.777073	+	0.564576i	−0.904099	−	0.427323i	$-0.859457\pi$
$809$	−22.1022	+	16.0582i	−0.777073	+	0.564576i	0.127026	+	0.991899i	$0.459457\pi$
$810$	0.686737	−	2.12800i	0.0241295	−	0.0747704i
$811$	−22.0127			−0.772972			−0.386486	−	0.922295i	$-0.626311\pi$
$811$	−22.0127			−0.772972			−0.386486	+	0.922295i	$0.626311\pi$
$812$	−1.53330	+	1.53330i	−0.0538082	+	0.0538082i
$813$	13.5257	+	6.89170i	0.474368	+	0.241703i
$814$	−45.4948	−	14.7822i	−1.59459	−	0.518114i
$815$	−20.9229	−	28.6774i	−0.732898	−	1.00452i
$816$	3.01635	+	2.19151i	0.105593	+	0.0767182i
$817$	−14.8863	−	7.58493i	−0.520805	−	0.265363i
$818$	2.56443	+	16.1912i	0.0896632	+	0.566111i
$819$	0.999304	−	0.726037i	0.0349185	−	0.0253698i
$820$	−20.7756	−	3.24804i	−0.725515	−	0.113426i
$821$	7.20030	+	9.91036i	0.251292	+	0.345874i	0.915963	−	0.401262i	$-0.131428\pi$
$821$	7.20030	+	9.91036i	0.251292	+	0.345874i	−0.664671	+	0.747136i	$0.731428\pi$
$822$	−12.2653	−	1.94263i	−0.427801	−	0.0677570i
$823$	1.31263	−	0.668816i	0.0457553	−	0.0233135i	−0.430963	−	0.902370i	$-0.641826\pi$
$823$	1.31263	−	0.668816i	0.0457553	−	0.0233135i	0.476718	+	0.879056i	$0.341826\pi$
$824$	−0.350862	−	0.482920i	−0.0122229	−	0.0168233i
$825$	23.0125	−	11.8414i	0.801191	−	0.412264i
$826$	0.0574529	+	0.176822i	0.00199904	+	0.00615241i
$827$	38.3534	−	6.07458i	1.33368	−	0.211234i	0.551440	−	0.834215i	$-0.314079\pi$
$827$	38.3534	−	6.07458i	1.33368	−	0.211234i	0.782237	+	0.622981i	$0.214079\pi$
$828$	−6.60437	+	3.36510i	−0.229518	+	0.116945i
$829$	16.3433	−	50.2995i	0.567626	−	1.74697i	−0.0923902	−	0.995723i	$-0.529451\pi$
$829$	16.3433	−	50.2995i	0.567626	−	1.74697i	0.660016	−	0.751251i	$-0.270549\pi$
$830$	10.8826	−	5.57234i	0.377740	−	0.193419i
$831$	−5.13869			−0.178259
$832$	−0.637459	+	0.637459i	−0.0220999	+	0.0220999i
$833$	−8.67093	+	17.0177i	−0.300430	+	0.589627i
$834$	−6.22050	−	8.56178i	−0.215398	−	0.296470i
$835$	50.5696	−	16.5427i	1.75003	−	0.572485i
$836$		−	35.8112i		−	1.23856i
$837$	2.12205	+	5.14752i	0.0733487	+	0.177924i
$838$	−12.3737	+	12.3737i	−0.427444	+	0.427444i
$839$	23.7027	−	32.6240i	0.818308	−	1.12630i	−0.171680	−	0.985153i	$-0.554920\pi$
$839$	23.7027	−	32.6240i	0.818308	−	1.12630i	0.989988	−	0.141151i	$-0.0450805\pi$
$840$	3.06378	−	0.00611512i	0.105710	−	0.000210992i
$841$	−8.18753	−	25.1986i	−0.282329	−	0.868918i
$842$	−10.3069	−	10.3069i	−0.355198	−	0.355198i
$843$	−20.9903	−	20.9903i	−0.722945	−	0.722945i
$844$	2.91885	−	0.948391i	0.100471	−	0.0326450i
$845$	26.9246	+	4.20936i	0.926233	+	0.144806i
$846$	−3.73855	+	11.5061i	−0.128534	+	0.395587i
$847$	−3.38481	−	21.3708i	−0.116303	−	0.734310i
$848$	−0.872421	+	1.71222i	−0.0299591	+	0.0587980i
$849$	−14.5556	−	10.5753i	−0.499547	−	0.362942i
$850$	−10.8973	+	15.1254i	−0.373773	+	0.518797i
$851$	−21.1684	+	65.1497i	−0.725644	+	2.23330i
$852$	−1.71859	+	10.8507i	−0.0588778	+	0.371740i
$853$	−3.37604	+	21.3155i	−0.115593	+	0.729827i	0.860009	+	0.510280i	$0.170458\pi$
$853$	−3.37604	+	21.3155i	−0.115593	+	0.729827i	−0.975602	+	0.219548i	$0.929542\pi$
$854$	−1.32473	+	4.07709i	−0.0453313	+	0.139515i
$855$	10.9174	−	10.9611i	0.373369	−	0.374862i
$856$	−7.47310	−	5.42953i	−0.255425	−	0.185577i
$857$	17.3771	−	34.1044i	0.593590	−	1.16499i	−0.377442	−	0.926033i	$-0.623196\pi$
$857$	17.3771	−	34.1044i	0.593590	−	1.16499i	0.971031	−	0.238952i	$-0.0768039\pi$
$858$	0.729961	+	4.60879i	0.0249205	+	0.157342i
$859$	8.36860	−	25.7559i	0.285533	−	0.878780i	−0.700705	−	0.713451i	$-0.747131\pi$
$859$	8.36860	−	25.7559i	0.285533	−	0.878780i	0.986238	−	0.165329i	$-0.0528687\pi$
$860$	3.18258	+	4.36212i	0.108525	+	0.148747i
$861$	−12.2544	+	3.98169i	−0.417628	+	0.135696i
$862$	8.42690	+	8.42690i	0.287021	+	0.287021i
$863$	−33.6610	−	33.6610i	−1.14583	−	1.14583i	−0.987364	−	0.158470i	$-0.949344\pi$
$863$	−33.6610	−	33.6610i	−1.14583	−	1.14583i	−0.158470	−	0.987364i	$-0.550656\pi$
$864$	0.309017	+	0.951057i	0.0105130	+	0.0323556i
$865$	0.0784525	+	39.3060i	0.00266746	+	1.33644i
$866$	6.22493	−	8.56788i	0.211532	−	0.291148i
$867$	2.19125	−	2.19125i	0.0744188	−	0.0744188i
$868$	−5.80927	+	4.94473i	−0.197179	+	0.167835i
$869$		−	70.8193i		−	2.40238i
$870$	1.60028	−	3.15628i	0.0542545	−	0.107008i
$871$	−3.38718	−	4.66205i	−0.114770	−	0.157968i
$872$	−1.29466	+	2.54090i	−0.0438426	+	0.0860459i
$873$	−7.57797	+	7.57797i	−0.256476	+	0.256476i
$874$	−51.2826			−1.73466
$875$	0.0917264	+	15.3186i	0.00310092	+	0.517864i
$876$	−1.16387	+	3.58202i	−0.0393234	+	0.121025i
$877$	−13.1414	+	6.69590i	−0.443755	+	0.226104i	−0.661567	−	0.749886i	$-0.730108\pi$
$877$	−13.1414	+	6.69590i	−0.443755	+	0.226104i	0.217812	+	0.975991i	$0.430108\pi$
$878$	−25.1841	+	3.98877i	−0.849923	+	0.134615i
$879$	−0.779498	−	2.39905i	−0.0262918	−	0.0809179i
$880$	−5.23391	+	10.3230i	−0.176435	+	0.347989i
$881$	18.5886	+	25.5850i	0.626266	+	0.861981i	0.997790	−	0.0664425i	$-0.0211649\pi$
$881$	18.5886	+	25.5850i	0.626266	+	0.861981i	−0.371525	+	0.928423i	$0.621165\pi$
$882$	−4.56431	+	2.32563i	−0.153688	+	0.0783081i
$883$	29.9072	+	4.73683i	1.00646	+	0.159407i	0.637836	−	0.770172i	$-0.279830\pi$
$883$	29.9072	+	4.73683i	1.00646	+	0.159407i	0.368621	+	0.929580i	$0.379830\pi$
$884$	−1.97565	−	2.71925i	−0.0664484	−	0.0914583i
$885$	−0.178834	−	0.245114i	−0.00601145	−	0.00823941i
$886$	−12.9976	+	9.44328i	−0.436662	+	0.317253i
$887$	−3.78317	−	23.8860i	−0.127026	−	0.802013i	−0.966133	−	0.258046i	$-0.916922\pi$
$887$	−3.78317	−	23.8860i	−0.127026	−	0.802013i	0.839106	−	0.543967i	$-0.183078\pi$
$888$	8.23448	+	4.19568i	0.276331	+	0.140798i
$889$	−9.96037	−	7.23664i	−0.334060	−	0.242709i
$890$	5.84312	−	4.26312i	0.195862	−	0.142900i
$891$	4.92273	+	1.59949i	0.164918	+	0.0535850i
$892$	−19.7927	−	10.0849i	−0.662707	−	0.337666i
$893$	−59.1869	+	59.1869i	−1.98061	+	1.98061i
$894$	15.2107			0.508723
$895$	−1.44888	−	2.82961i	−0.0484307	−	0.0945834i
$896$	−1.10849	+	0.805363i	−0.0370319	+	0.0269053i
$897$	6.59991	−	1.04532i	0.220365	−	0.0349023i
$898$	14.2373	+	14.2373i	0.475106	+	0.475106i
$899$	2.04261	+	8.57148i	0.0681248	+	0.285875i
$900$	−4.74908	+	1.56406i	−0.158303	+	0.0521352i
$901$	−5.79644	−	4.21136i	−0.193108	−	0.140301i
$902$	7.61456	−	48.0764i	0.253537	−	1.60077i
$903$	2.94808	+	1.50212i	0.0981060	+	0.0499875i
$904$		−	1.06879i		−	0.0355474i
$905$	5.32170	+	33.1713i	0.176899	+	1.10265i
$906$	−4.64371	−	14.2919i	−0.154277	−	0.474815i
$907$	8.45323	−	4.30713i	0.280685	−	0.143016i	−0.307981	−	0.951392i	$-0.599653\pi$
$907$	8.45323	−	4.30713i	0.280685	−	0.143016i	0.588666	+	0.808376i	$0.299653\pi$
$908$	3.98863	+	7.82813i	0.132367	+	0.259786i
$909$	5.60891	−	7.72001i	0.186036	−	0.256057i
$910$	−2.62853	−	0.848263i	−0.0871348	−	0.0281196i
$911$	−1.14422	+	1.57488i	−0.0379097	+	0.0521782i	−0.827551	−	0.561390i	$-0.810267\pi$
$911$	−1.14422	+	1.57488i	−0.0379097	+	0.0521782i	0.789641	+	0.613569i	$0.210267\pi$
$912$	−1.08231	+	6.83344i	−0.0358389	+	0.226278i
$913$	12.8486	+	25.2168i	0.425226	+	0.834554i
$914$	−21.4966	+	15.6182i	−0.711044	+	0.516604i
$915$	−0.0139638	−	6.99609i	−0.000461629	−	0.231284i
$916$	14.6926	+	4.77391i	0.485456	+	0.157734i
$917$	−0.724146	−	0.114693i	−0.0239134	−	0.00378751i
$918$	−3.68252	+	0.583253i	−0.121541	+	0.0192502i
$919$	35.9871	−	11.6929i	1.18711	−	0.385714i	0.352104	−	0.935961i	$-0.385466\pi$
$919$	35.9871	−	11.6929i	1.18711	−	0.385714i	0.835002	+	0.550247i	$0.185466\pi$
$920$	14.7828	+	7.49509i	0.487375	+	0.247106i
$921$	−26.8622	−	8.72805i	−0.885139	−	0.287599i
$922$	−1.71174	−	3.35949i	−0.0563733	−	0.110639i
$923$	4.49628	−	8.82444i	0.147997	−	0.290460i
$924$			7.09207i			0.233312i
$925$	−20.8139	+	41.2558i	−0.684356	+	1.35648i
$926$	19.7946	−	6.43164i	0.650490	−	0.211357i
$927$	0.589573	+	0.0933792i	0.0193641	+	0.00306698i
$928$	0.247572	+	1.56311i	0.00812695	+	0.0513115i
$929$	29.9178			0.981572			0.490786	−	0.871280i	$-0.336710\pi$
$929$	29.9178			0.981572			0.490786	+	0.871280i	$0.336710\pi$
$930$	6.50170	−	10.6173i	0.213199	−	0.348156i
$931$	−35.4416			−1.16155
$932$	0.339461	+	2.14327i	0.0111194	+	0.0702052i
$933$	−21.4470	−	3.39688i	−0.702145	−	0.111209i
$934$	−3.04278	+	0.988661i	−0.0995630	+	0.0323500i
$935$	−34.9620	−	25.2949i	−1.14338	−	0.827231i
$936$		−	0.901503i		−	0.0294665i
$937$	6.04971	−	11.8732i	0.197635	−	0.387881i	−0.770826	−	0.637046i	$-0.780156\pi$
$937$	6.04971	−	11.8732i	0.197635	−	0.387881i	0.968461	+	0.249165i	$0.0801561\pi$
$938$	−3.97624	−	7.80380i	−0.129829	−	0.254803i
$939$	−7.12423	−	2.31480i	−0.232490	−	0.0755407i
$940$	25.7116	−	8.41099i	0.838621	−	0.274336i
$941$	29.9126	−	9.71919i	0.975122	−	0.316836i	0.222240	−	0.974992i	$-0.428663\pi$
$941$	29.9126	−	9.71919i	0.975122	−	0.316836i	0.752882	+	0.658155i	$0.228663\pi$
$942$	14.1045	−	2.23394i	0.459551	−	0.0727857i
$943$	−68.8467	−	10.9042i	−2.24196	−	0.355091i
$944$	0.129051	+	0.0419313i	0.00420027	+	0.00136475i
$945$	−2.16209	+	2.17074i	−0.0703329	+	0.0706142i
$946$	−10.1121	+	7.34690i	−0.328774	+	0.238868i
$947$	−7.17011	−	14.0721i	−0.232997	−	0.457283i	0.744672	−	0.667430i	$-0.232606\pi$
$947$	−7.17011	−	14.0721i	−0.232997	−	0.457283i	−0.977670	+	0.210147i	$0.932606\pi$
$948$	−2.14035	+	13.5136i	−0.0695152	+	0.438902i
$949$	1.99575	−	2.74692i	0.0647849	−	0.0891688i
$950$	−34.1885	−	5.27512i	−1.10922	−	0.171147i
$951$	−0.310595	+	0.427498i	−0.0100717	+	0.0138626i
$952$	−2.31923	−	4.55175i	−0.0751668	−	0.147523i
$953$	−16.2780	+	8.29403i	−0.527295	+	0.268670i	−0.697308	−	0.716772i	$-0.745619\pi$
$953$	−16.2780	+	8.29403i	−0.527295	+	0.268670i	0.170013	+	0.985442i	$0.445619\pi$
$954$	−0.593829	−	1.82762i	−0.0192259	−	0.0591713i
$955$	55.2047	−	8.85654i	1.78638	−	0.286591i
$956$			29.2534i			0.946123i
$957$	7.29877	+	3.71891i	0.235936	+	0.120215i
$958$	−3.98326	+	25.1493i	−0.128693	+	0.812538i
$959$	13.7654	+	10.0011i	0.444507	+	0.322953i
$960$	1.31071	−	1.81164i	0.0423031	−	0.0584703i
$961$	4.74658	+	30.6345i	0.153115	+	0.988208i
$962$	−5.89125	−	5.89125i	−0.189942	−	0.189942i
$963$	9.12354	−	1.44503i	0.294002	−	0.0465653i
$964$	19.5143	−	14.1780i	0.628515	−	0.456643i
$965$	−51.3560	−	16.5733i	−1.65321	−	0.533514i
$966$	10.1560			0.326765
$967$	40.4661	−	40.4661i	1.30130	−	1.30130i	0.373785	−	0.927515i	$-0.378060\pi$
$967$	40.4661	−	40.4661i	1.30130	−	1.30130i	0.927515	−	0.373785i	$-0.121940\pi$
$968$	−14.0705	−	7.16928i	−0.452243	−	0.230429i
$969$	−24.5330	−	7.97125i	−0.788113	−	0.256073i
$970$	23.6761	+	3.70149i	0.760192	+	0.118848i
$971$	−19.6644	−	14.2870i	−0.631061	−	0.458492i	0.225707	−	0.974195i	$-0.427531\pi$
$971$	−19.6644	−	14.2870i	−0.631061	−	0.458492i	−0.856767	+	0.515703i	$0.827531\pi$
$972$	−0.891007	−	0.453990i	−0.0285790	−	0.0145618i
$973$	2.26836	+	14.3219i	0.0727203	+	0.459138i
$974$	32.2668	−	23.4432i	1.03389	−	0.751168i
$975$	4.50748	−	0.0179934i	0.144355	−	0.000576251i
$976$	1.83904	+	2.53122i	0.0588661	+	0.0810222i
$977$	−20.2973	−	3.21478i	−0.649368	−	0.102850i	−0.176944	−	0.984221i	$-0.556621\pi$
$977$	−20.2973	−	3.21478i	−0.649368	−	0.102850i	−0.472424	+	0.881371i	$0.656621\pi$
$978$	−14.1452	+	7.20734i	−0.452313	+	0.230465i
$979$	9.84128	+	13.5454i	0.314529	+	0.432912i
$980$	10.2165	+	5.17989i	0.326353	+	0.165466i
$981$	−0.881231	−	2.71215i	−0.0281355	−	0.0865923i
$982$	9.37259	−	1.48447i	0.299091	−	0.0473714i
$983$	−31.4656	+	16.0325i	−1.00360	+	0.511358i	−0.876946	−	0.480589i	$-0.840423\pi$
$983$	−31.4656	+	16.0325i	−1.00360	+	0.511358i	−0.126651	+	0.991947i	$0.540423\pi$
$984$	−2.90599	+	8.94373i	−0.0926397	+	0.285116i
$985$	−37.0620	−	11.9605i	−1.18089	−	0.381092i
$986$	−5.90056			−0.187912
$987$	11.7214	−	11.7214i	0.373096	−	0.373096i
$988$	2.83161	−	5.55735i	0.0900855	−	0.176803i
$989$	10.5210	+	14.4809i	0.334547	+	0.460464i
$990$	−3.59854	−	11.0004i	−0.114369	−	0.349616i
$991$			51.2258i			1.62724i	0.581395	+	0.813621i	$0.302507\pi$
$991$			51.2258i			1.62724i	−0.581395	+	0.813621i	$0.697493\pi$
$992$	0.427517	+	5.55133i	0.0135737	+	0.176255i
$993$	−0.716005	+	0.716005i	−0.0227217	+	0.0227217i
$994$	8.84771	−	12.1778i	0.280632	−	0.386257i
$995$	20.4214	−	20.5030i	0.647400	−	0.649990i
$996$	−1.68963	−	5.20014i	−0.0535379	−	0.164773i
$997$	−6.20503	−	6.20503i	−0.196515	−	0.196515i	0.601989	−	0.798504i	$-0.294375\pi$
$997$	−6.20503	−	6.20503i	−0.196515	−	0.196515i	−0.798504	+	0.601989i	$0.794375\pi$
$998$	−19.3074	−	19.3074i	−0.611165	−	0.611165i
$999$	−8.78945	+	2.85586i	−0.278086	+	0.0903556i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.b.277.10	yes	128
5.3	odd	4		930.2.bj.a.463.10	✓	128
31.15	odd	10		930.2.bj.a.697.10	yes	128
155.108	even	20	inner	930.2.bj.b.883.10	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.463.10	✓	128	5.3	odd	4
930.2.bj.a.697.10	yes	128	31.15	odd	10
930.2.bj.b.277.10	yes	128	1.1	even	1	trivial
930.2.bj.b.883.10	yes	128	155.108	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-2.20784 + 0.354206i) q^{5} +1.00000i q^{6} +(0.622042 - 1.22083i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-2.20784 + 0.354206i) q^{5} +1.00000i q^{6} +(0.622042 - 1.22083i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-0.695226 - 2.12524i) q^{10} +(4.92273 - 1.59949i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(0.890404 + 0.141026i) q^{13} +(1.30310 + 0.423404i) q^{14} +(-2.23606 + 0.00446306i) q^{15} +(0.809017 - 0.587785i) q^{16} +(1.69267 + 3.32204i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(-4.06666 + 5.59728i) q^{19} +(1.99032 - 1.01913i) q^{20} +(0.805363 - 1.10849i) q^{21} +(2.34989 + 4.61191i) q^{22} +(6.60437 - 3.36510i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(4.74908 - 1.56406i) q^{25} +0.901503i q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.214341 + 1.35330i) q^{28} +(1.28034 + 0.930224i) q^{29} +(-0.354206 - 2.20784i) q^{30} +(4.22768 + 3.62308i) q^{31} +(0.707107 + 0.707107i) q^{32} +(5.11234 - 0.809716i) q^{33} +(-3.01635 + 2.19151i) q^{34} +(-0.940943 + 2.91571i) q^{35} -1.00000 q^{36} +(-6.53492 + 6.53492i) q^{37} +(-6.16453 - 3.14099i) q^{38} +(0.857380 + 0.278580i) q^{39} +(1.31794 + 1.80639i) q^{40} +(-7.60799 - 5.52753i) q^{41} +(1.22083 + 0.622042i) q^{42} +(0.377762 + 2.38509i) q^{43} +(-4.18753 + 3.04242i) q^{44} +(-2.20923 - 0.345389i) q^{45} +(4.35682 + 5.99665i) q^{46} +(11.9493 + 1.89258i) q^{47} +(0.891007 - 0.453990i) q^{48} +(3.01102 + 4.14431i) q^{49} +(2.28772 + 4.44594i) q^{50} +(1.15214 + 3.54594i) q^{51} +(-0.890404 + 0.141026i) q^{52} +(-1.71222 + 0.872421i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-10.3020 + 5.27508i) q^{55} -1.37017 q^{56} +(-4.89220 + 4.89220i) q^{57} +(-0.718482 + 1.41010i) q^{58} +(0.0797581 + 0.109778i) q^{59} +(2.12524 - 0.695226i) q^{60} +3.12875i q^{61} +(-2.91712 + 4.74241i) q^{62} +(0.968853 - 0.968853i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-2.01582 + 0.00402346i) q^{65} +(1.59949 + 4.92273i) q^{66} +(-4.51999 - 4.51999i) q^{67} +(-2.63639 - 2.63639i) q^{68} +(7.04948 - 2.29051i) q^{69} +(-3.02701 - 0.473240i) q^{70} +(3.39486 - 10.4483i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(1.70989 - 3.35585i) q^{73} +(-7.47675 - 5.43218i) q^{74} +(4.93528 - 0.801880i) q^{75} +(2.13797 - 6.58000i) q^{76} +(1.10944 - 7.00475i) q^{77} +(-0.141026 + 0.890404i) q^{78} +(4.22799 - 13.0124i) q^{79} +(-1.57798 + 1.58429i) q^{80} +(0.809017 + 0.587785i) q^{81} +(4.26932 - 8.37902i) q^{82} +(0.855345 + 5.40043i) q^{83} +(-0.423404 + 1.30310i) q^{84} +(-4.91382 - 6.73498i) q^{85} +(-2.29664 + 0.746222i) q^{86} +(1.11906 + 1.11906i) q^{87} +(-3.66003 - 3.66003i) q^{88} +(0.999575 + 3.07638i) q^{89} +(-0.00446306 - 2.23606i) q^{90} +(0.726037 - 0.999304i) q^{91} +(-5.24126 + 5.24126i) q^{92} +(3.60886 + 4.23983i) q^{93} +12.0982i q^{94} +(6.99593 - 13.7983i) q^{95} +(0.587785 + 0.809017i) q^{96} +(-4.86536 + 9.54880i) q^{97} +(-3.62226 + 3.62226i) q^{98} +5.17607 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 4 q^{7}+O(q^{10}) \) 128 * q + 4 * q^7	\( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Introduction

L-functions

Modular forms

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