LMFDB - Embedded newform 462.2.w.b.365.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, 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:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			365.7
Character	$\chi$	$=$	462.365
Dual form			462.2.w.b.281.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 + 0.951057i) q^{2} +(-0.711719 + 1.57907i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.152745 + 0.0496298i) q^{5} +(-1.28185 - 1.16484i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.98691 - 2.24771i) q^{9} +O(q^{10})$	\(q+(-0.309017 + 0.951057i) q^{2} +(-0.711719 + 1.57907i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.152745 + 0.0496298i) q^{5} +(-1.28185 - 1.16484i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.98691 - 2.24771i) q^{9} -0.160605i q^{10} +(-3.12194 + 1.11961i) q^{11} +(1.50395 - 0.859155i) q^{12} +(-6.36388 - 2.06775i) q^{13} +(0.587785 + 0.809017i) q^{14} +(0.0303426 - 0.276517i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.841882 + 2.59105i) q^{17} +(2.75168 - 1.19509i) q^{18} +(-3.45842 - 4.76011i) q^{19} +(0.152745 + 0.0496298i) q^{20} +(0.859155 + 1.50395i) q^{21} +(-0.100078 - 3.31511i) q^{22} -2.94363i q^{23} +(0.352360 + 1.69583i) q^{24} +(-4.02422 + 2.92376i) q^{25} +(3.93309 - 5.41344i) q^{26} +(4.96340 - 1.53773i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(5.12098 + 3.72061i) q^{29} +(0.253607 + 0.114306i) q^{30} +(2.60546 - 8.01878i) q^{31} -1.00000 q^{32} +(0.454006 - 5.72659i) q^{33} -2.72439 q^{34} +(-0.0496298 + 0.152745i) q^{35} +(0.286277 + 2.98631i) q^{36} +(-0.501222 - 0.364159i) q^{37} +(5.59585 - 1.81820i) q^{38} +(7.79441 - 8.57734i) q^{39} +(-0.0944015 + 0.129933i) q^{40} +(-4.44808 + 3.23172i) q^{41} +(-1.69583 + 0.352360i) q^{42} +2.41048i q^{43} +(3.18379 + 0.929247i) q^{44} +(0.415044 + 0.244715i) q^{45} +(2.79955 + 0.909630i) q^{46} +(-1.56714 - 2.15699i) q^{47} +(-1.72172 - 0.188926i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(-1.53711 - 4.73075i) q^{50} +(-4.69062 - 0.514708i) q^{51} +(3.93309 + 5.41344i) q^{52} +(2.46767 + 0.801796i) q^{53} +(-0.0713040 + 5.19566i) q^{54} +(0.421294 - 0.325955i) q^{55} -1.00000i q^{56} +(9.97797 - 2.07322i) q^{57} +(-5.12098 + 3.72061i) q^{58} +(-8.48442 + 11.6778i) q^{59} +(-0.187080 + 0.205872i) q^{60} +(-7.68134 + 2.49582i) q^{61} +(6.82118 + 4.95588i) q^{62} +(-2.98631 + 0.286277i) q^{63} +(0.309017 - 0.951057i) q^{64} +1.07467 q^{65} +(5.30602 + 2.20140i) q^{66} +9.38707 q^{67} +(0.841882 - 2.59105i) q^{68} +(4.64819 + 2.09503i) q^{69} +(-0.129933 - 0.0944015i) q^{70} +(-10.0295 + 3.25877i) q^{71} +(-2.92861 - 0.650555i) q^{72} +(0.0597686 - 0.0822645i) q^{73} +(0.501222 - 0.364159i) q^{74} +(-1.75271 - 8.43541i) q^{75} +5.88382i q^{76} +(-0.929247 + 3.18379i) q^{77} +(5.74893 + 10.0635i) q^{78} +(-8.72301 - 2.83428i) q^{79} +(-0.0944015 - 0.129933i) q^{80} +(-1.10436 + 8.93199i) q^{81} +(-1.69901 - 5.22903i) q^{82} +(-4.39153 - 13.5157i) q^{83} +(0.188926 - 1.72172i) q^{84} +(-0.257186 - 0.353987i) q^{85} +(-2.29250 - 0.744879i) q^{86} +(-9.51979 + 5.43834i) q^{87} +(-1.86761 + 2.74081i) q^{88} -15.1000i q^{89} +(-0.360994 + 0.319109i) q^{90} +(-5.41344 + 3.93309i) q^{91} +(-1.73022 + 2.38144i) q^{92} +(10.8078 + 9.82131i) q^{93} +(2.53569 - 0.823897i) q^{94} +(0.764500 + 0.555442i) q^{95} +(0.711719 - 1.57907i) q^{96} +(-3.20306 + 9.85801i) q^{97} +1.00000 q^{98} +(8.71956 + 4.79263i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$3$	−0.711719	+	1.57907i	−0.410911	+	0.911675i
$3$	−0.711719	+	1.57907i	−0.410911	+	0.911675i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−0.152745	+	0.0496298i	−0.0683096	+	0.0221951i	−0.342972	−	0.939345i	$-0.611434\pi$
$5$	−0.152745	+	0.0496298i	−0.0683096	+	0.0221951i	0.274663	+	0.961541i	$0.411434\pi$
$6$	−1.28185	−	1.16484i	−0.523313	−	0.475546i
$7$	0.587785	−	0.809017i	0.222162	−	0.305780i
$7$	0.587785	−	0.809017i	0.222162	−	0.305780i
$8$	0.809017	−	0.587785i	0.286031	−	0.207813i
$9$	−1.98691	−	2.24771i	−0.662304	−	0.749235i
$10$		−	0.160605i		−	0.0507879i
$11$	−3.12194	+	1.11961i	−0.941299	+	0.337574i
$11$	−3.12194	+	1.11961i	−0.941299	+	0.337574i
$12$	1.50395	−	0.859155i	0.434152	−	0.248017i
$13$	−6.36388	−	2.06775i	−1.76502	−	0.573491i	−0.767322	−	0.641262i	$-0.778411\pi$
$13$	−6.36388	−	2.06775i	−1.76502	−	0.573491i	−0.997701	+	0.0677714i	$0.978411\pi$
$14$	0.587785	+	0.809017i	0.157092	+	0.216219i
$15$	0.0303426	−	0.276517i	0.00783442	−	0.0713964i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	0.841882	+	2.59105i	0.204186	+	0.628421i	0.999746	+	0.0225456i	$0.00717710\pi$
$17$	0.841882	+	2.59105i	0.204186	+	0.628421i	−0.795559	+	0.605876i	$0.792823\pi$
$18$	2.75168	−	1.19509i	0.648578	−	0.281685i
$19$	−3.45842	−	4.76011i	−0.793417	−	1.09204i	−0.993674	−	0.112301i	$-0.964178\pi$
$19$	−3.45842	−	4.76011i	−0.793417	−	1.09204i	0.200257	−	0.979743i	$-0.435822\pi$
$20$	0.152745	+	0.0496298i	0.0341548	+	0.0110976i
$21$	0.859155	+	1.50395i	0.187483	+	0.328188i
$22$	−0.100078	−	3.31511i	−0.0213367	−	0.706785i
$23$		−	2.94363i		−	0.613788i	−0.951744	−	0.306894i	$-0.900710\pi$
$23$		−	2.94363i		−	0.613788i	0.951744	−	0.306894i	$-0.0992898\pi$
$24$	0.352360	+	1.69583i	0.0719252	+	0.346160i
$25$	−4.02422	+	2.92376i	−0.804843	+	0.584753i
$26$	3.93309	−	5.41344i	0.771343	−	1.06166i
$27$	4.96340	−	1.53773i	0.955207	−	0.295937i
$28$	−0.951057	+	0.309017i	−0.179733	+	0.0583987i
$29$	5.12098	+	3.72061i	0.950942	+	0.690900i	0.951029	−	0.309100i	$-0.100028\pi$
$29$	5.12098	+	3.72061i	0.950942	+	0.690900i	−8.76975e−5		1.00000i	$0.500028\pi$
$30$	0.253607	+	0.114306i	0.0463021	+	0.0208693i
$31$	2.60546	−	8.01878i	0.467954	−	1.44021i	−0.387275	−	0.921964i	$-0.626584\pi$
$31$	2.60546	−	8.01878i	0.467954	−	1.44021i	0.855229	−	0.518250i	$-0.173416\pi$
$32$	−1.00000			−0.176777
$33$	0.454006	−	5.72659i	0.0790324	−	0.996872i
$34$	−2.72439			−0.467229
$35$	−0.0496298	+	0.152745i	−0.00838897	+	0.0258186i
$36$	0.286277	+	2.98631i	0.0477129	+	0.497718i
$37$	−0.501222	−	0.364159i	−0.0824003	−	0.0598673i	0.545822	−	0.837901i	$-0.316217\pi$
$37$	−0.501222	−	0.364159i	−0.0824003	−	0.0598673i	−0.628223	+	0.778034i	$0.716217\pi$
$38$	5.59585	−	1.81820i	0.907766	−	0.294951i
$39$	7.79441	−	8.57734i	1.24810	−	1.37347i
$40$	−0.0944015	+	0.129933i	−0.0149262	+	0.0205441i
$41$	−4.44808	+	3.23172i	−0.694673	+	0.504709i	−0.878193	−	0.478307i	$-0.841251\pi$
$41$	−4.44808	+	3.23172i	−0.694673	+	0.504709i	0.183520	+	0.983016i	$0.441251\pi$
$42$	−1.69583	+	0.352360i	−0.261672	+	0.0543703i
$43$			2.41048i			0.367594i	0.982964	+	0.183797i	$0.0588390\pi$
$43$			2.41048i			0.367594i	−0.982964	+	0.183797i	$0.941161\pi$
$44$	3.18379	+	0.929247i	0.479974	+	0.140089i
$45$	0.415044	+	0.244715i	0.0618711	+	0.0364800i
$46$	2.79955	+	0.909630i	0.412772	+	0.134118i
$47$	−1.56714	−	2.15699i	−0.228592	−	0.314629i	0.679279	−	0.733880i	$-0.262293\pi$
$47$	−1.56714	−	2.15699i	−0.228592	−	0.314629i	−0.907870	+	0.419251i	$0.862293\pi$
$48$	−1.72172	−	0.188926i	−0.248508	−	0.0272691i
$49$	−0.309017	−	0.951057i	−0.0441453	−	0.135865i
$50$	−1.53711	−	4.73075i	−0.217381	−	0.669029i
$51$	−4.69062	−	0.514708i	−0.656819	−	0.0720736i
$52$	3.93309	+	5.41344i	0.545422	+	0.750709i
$53$	2.46767	+	0.801796i	0.338961	+	0.110135i	0.473551	−	0.880766i	$-0.342972\pi$
$53$	2.46767	+	0.801796i	0.338961	+	0.110135i	−0.134590	+	0.990901i	$0.542972\pi$
$54$	−0.0713040	+	5.19566i	−0.00970325	+	0.707040i
$55$	0.421294	−	0.325955i	0.0568072	−	0.0439518i
$56$		−	1.00000i		−	0.133631i
$57$	9.97797	−	2.07322i	1.32161	−	0.274605i
$58$	−5.12098	+	3.72061i	−0.672417	+	0.488540i
$59$	−8.48442	+	11.6778i	−1.10458	+	1.52032i	−0.275403	+	0.961329i	$0.588811\pi$
$59$	−8.48442	+	11.6778i	−1.10458	+	1.52032i	−0.829174	+	0.558991i	$0.811189\pi$
$60$	−0.187080	+	0.205872i	−0.0241520	+	0.0265780i
$61$	−7.68134	+	2.49582i	−0.983495	+	0.319557i	−0.756251	−	0.654281i	$-0.772971\pi$
$61$	−7.68134	+	2.49582i	−0.983495	+	0.319557i	−0.227243	+	0.973838i	$0.572971\pi$
$62$	6.82118	+	4.95588i	0.866291	+	0.629397i
$63$	−2.98631	+	0.286277i	−0.376240	+	0.0360675i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	1.07467			0.133297
$66$	5.30602	+	2.20140i	0.653126	+	0.270974i
$67$	9.38707			1.14681			0.573407	−	0.819271i	$-0.305622\pi$
$67$	9.38707			1.14681			0.573407	+	0.819271i	$0.305622\pi$
$68$	0.841882	−	2.59105i	0.102093	−	0.314211i
$69$	4.64819	+	2.09503i	0.559576	+	0.252213i
$70$	−0.129933	−	0.0944015i	−0.0155299	−	0.0112831i
$71$	−10.0295	+	3.25877i	−1.19028	+	0.386745i	−0.836176	−	0.548462i	$-0.815214\pi$
$71$	−10.0295	+	3.25877i	−1.19028	+	0.386745i	−0.354103	+	0.935207i	$0.615214\pi$
$72$	−2.92861	−	0.650555i	−0.345140	−	0.0766686i
$73$	0.0597686	−	0.0822645i	0.00699539	−	0.00962833i	−0.805505	−	0.592589i	$-0.798106\pi$
$73$	0.0597686	−	0.0822645i	0.00699539	−	0.00962833i	0.812500	+	0.582961i	$0.198106\pi$
$74$	0.501222	−	0.364159i	0.0582658	−	0.0423326i
$75$	−1.75271	−	8.43541i	−0.202386	−	0.974037i
$76$			5.88382i			0.674921i
$77$	−0.929247	+	3.18379i	−0.105898	+	0.362826i
$78$	5.74893	+	10.0635i	0.650938	+	1.13946i
$79$	−8.72301	−	2.83428i	−0.981415	−	0.318881i	−0.226000	−	0.974127i	$-0.572565\pi$
$79$	−8.72301	−	2.83428i	−0.981415	−	0.318881i	−0.755415	+	0.655246i	$0.772565\pi$
$80$	−0.0944015	−	0.129933i	−0.0105544	−	0.0145269i
$81$	−1.10436	+	8.93199i	−0.122707	+	0.992443i
$82$	−1.69901	−	5.22903i	−0.187625	−	0.577450i
$83$	−4.39153	−	13.5157i	−0.482033	−	1.48355i	−0.836232	−	0.548376i	$-0.815246\pi$
$83$	−4.39153	−	13.5157i	−0.482033	−	1.48355i	0.354199	−	0.935170i	$-0.384754\pi$
$84$	0.188926	−	1.72172i	0.0206135	−	0.187855i
$85$	−0.257186	−	0.353987i	−0.0278958	−	0.0383953i
$86$	−2.29250	−	0.744879i	−0.247207	−	0.0803223i
$87$	−9.51979	+	5.43834i	−1.02063	+	0.583052i
$88$	−1.86761	+	2.74081i	−0.199088	+	0.292171i
$89$		−	15.1000i		−	1.60060i	−0.599601	−	0.800299i	$-0.704674\pi$
$89$		−	15.1000i		−	1.60060i	0.599601	−	0.800299i	$-0.295326\pi$
$90$	−0.360994	+	0.319109i	−0.0380521	+	0.0336370i
$91$	−5.41344	+	3.93309i	−0.567483	+	0.412300i
$92$	−1.73022	+	2.38144i	−0.180388	+	0.248283i
$93$	10.8078	+	9.82131i	1.12072	+	1.01842i
$94$	2.53569	−	0.823897i	0.261537	−	0.0849785i
$95$	0.764500	+	0.555442i	0.0784361	+	0.0569871i
$96$	0.711719	−	1.57907i	0.0726395	−	0.161163i
$97$	−3.20306	+	9.85801i	−0.325222	+	1.00093i	0.646119	+	0.763237i	$0.276391\pi$
$97$	−3.20306	+	9.85801i	−0.325222	+	1.00093i	−0.971341	+	0.237692i	$0.923609\pi$
$98$	1.00000			0.101015
$99$	8.71956	+	4.79263i	0.876348	+	0.481678i
$100$	4.97421			0.497421
$101$	−3.65609	+	11.2523i	−0.363795	+	1.11964i	0.586938	+	0.809632i	$0.300333\pi$
$101$	−3.65609	+	11.2523i	−0.363795	+	1.11964i	−0.950732	+	0.310013i	$0.899667\pi$
$102$	1.93900	−	4.30199i	0.191990	−	0.425961i
$103$	0.881475	+	0.640429i	0.0868543	+	0.0631033i	0.630365	−	0.776299i	$-0.282905\pi$
$103$	0.881475	+	0.640429i	0.0868543	+	0.0631033i	−0.543511	+	0.839402i	$0.682905\pi$
$104$	−6.36388	+	2.06775i	−0.624030	+	0.202760i
$105$	−0.205872	−	0.187080i	−0.0200911	−	0.0182572i
$106$	−1.52511	+	2.09913i	−0.148131	+	0.203885i
$107$	−6.75237	+	4.90589i	−0.652776	+	0.474270i	−0.864216	−	0.503121i	$-0.832185\pi$
$107$	−6.75237	+	4.90589i	−0.652776	+	0.474270i	0.211439	+	0.977391i	$0.432185\pi$
$108$	−4.91934	−	1.67336i	−0.473363	−	0.161019i
$109$			0.765456i			0.0733174i	0.999328	+	0.0366587i	$0.0116714\pi$
$109$			0.765456i			0.0733174i	−0.999328	+	0.0366587i	$0.988329\pi$
$110$	0.179815	+	0.501400i	0.0171447	+	0.0478066i
$111$	0.931761	−	0.532284i	0.0884388	−	0.0505222i
$112$	0.951057	+	0.309017i	0.0898664	+	0.0291994i
$113$	6.11535	+	8.41706i	0.575284	+	0.791810i	0.993168	−	0.116690i	$-0.0372283\pi$
$113$	6.11535	+	8.41706i	0.575284	+	0.791810i	−0.417885	+	0.908500i	$0.637228\pi$
$114$	−1.11161	+	10.1303i	−0.104112	+	0.948787i
$115$	0.146092	+	0.449624i	0.0136231	+	0.0419276i
$116$	−1.95604	−	6.02007i	−0.181614	−	0.558950i
$117$	7.99678	+	18.4126i	0.739302	+	1.70224i
$118$	−8.48442	−	11.6778i	−0.781054	−	1.07503i
$119$	2.59105	+	0.841882i	0.237521	+	0.0771752i
$120$	−0.137985	−	0.241542i	−0.0125962	−	0.0220497i
$121$	8.49296	−	6.99068i	0.772088	−	0.635516i
$122$		−	8.07664i		−	0.731225i
$123$	−1.93732	−	9.32389i	−0.174682	−	0.840707i
$124$	−6.82118	+	4.95588i	−0.612560	+	0.445051i
$125$	0.941580	−	1.29597i	0.0842175	−	0.115915i
$126$	0.650555	−	2.92861i	0.0579560	−	0.260902i
$127$	12.9700	−	4.21421i	1.15090	−	0.373951i	0.329419	−	0.944184i	$-0.393147\pi$
$127$	12.9700	−	4.21421i	1.15090	−	0.373951i	0.821483	+	0.570233i	$0.193147\pi$
$128$	0.809017	+	0.587785i	0.0715077	+	0.0519534i
$129$	−3.80631	−	1.71558i	−0.335127	−	0.151049i
$130$	−0.332092	+	1.02207i	−0.0291264	+	0.0896418i
$131$	−7.47224			−0.652852			−0.326426	−	0.945223i	$-0.605844\pi$
$131$	−7.47224			−0.652852			−0.326426	+	0.945223i	$0.605844\pi$
$132$	−3.73331	+	4.36605i	−0.324943	+	0.380016i
$133$	−5.88382			−0.510192
$134$	−2.90076	+	8.92763i	−0.250588	+	0.771230i
$135$	−0.681817	+	0.481214i	−0.0586815	+	0.0414163i
$136$	2.20408	+	1.60136i	0.188998	+	0.137315i
$137$	−4.15192	+	1.34904i	−0.354722	+	0.115256i	−0.480957	−	0.876744i	$-0.659711\pi$
$137$	−4.15192	+	1.34904i	−0.354722	+	0.115256i	0.126235	+	0.992000i	$0.459711\pi$
$138$	−3.42886	+	3.77329i	−0.291884	+	0.321203i
$139$	−12.1741	+	16.7562i	−1.03260	+	1.42125i	−0.129615	+	0.991564i	$0.541374\pi$
$139$	−12.1741	+	16.7562i	−1.03260	+	1.42125i	−0.902981	+	0.429681i	$0.858626\pi$
$140$	0.129933	−	0.0944015i	0.0109813	−	0.00797839i
$141$	4.52140	−	0.939457i	0.380771	−	0.0791166i
$142$		−	10.5456i		−	0.884967i
$143$	22.1827	−	0.669659i	1.85501	−	0.0559997i
$144$	1.52371	−	2.58424i	0.126975	−	0.215354i
$145$	−0.966856	−	0.314151i	−0.0802930	−	0.0260888i
$146$	0.0597686	+	0.0822645i	0.00494649	+	0.00680826i
$147$	1.72172	+	0.188926i	0.142005	+	0.0155824i
$148$	0.191450	+	0.589221i	0.0157371	+	0.0484337i
$149$	0.923115	+	2.84105i	0.0756245	+	0.232748i	0.981722	−	0.190321i	$-0.0609528\pi$
$149$	0.923115	+	2.84105i	0.0756245	+	0.232748i	−0.906097	+	0.423069i	$0.860953\pi$
$150$	8.56417	+	0.939758i	0.699262	+	0.0767309i
$151$	0.0890010	+	0.122499i	0.00724280	+	0.00996886i	0.812623	−	0.582790i	$-0.198039\pi$
$151$	0.0890010	+	0.122499i	0.00724280	+	0.00996886i	−0.805380	+	0.592759i	$0.798039\pi$
$152$	−5.59585	−	1.81820i	−0.453883	−	0.147476i
$153$	4.15117	−	7.04049i	0.335602	−	0.569190i
$154$	−2.74081	−	1.86761i	−0.220861	−	0.150496i
$155$			1.35414i			0.108767i
$156$	−11.3474	+	2.35778i	−0.908523	+	0.188773i
$157$	1.43904	−	1.04552i	0.114848	−	0.0834417i	−0.528879	−	0.848697i	$-0.677387\pi$
$157$	1.43904	−	1.04552i	0.114848	−	0.0834417i	0.643727	+	0.765256i	$0.277387\pi$
$158$	5.39112	−	7.42024i	0.428894	−	0.590322i
$159$	−3.02238	+	3.32597i	−0.239690	+	0.263767i
$160$	0.152745	−	0.0496298i	0.0120755	−	0.00392358i
$161$	−2.38144	−	1.73022i	−0.187684	−	0.136360i
$162$	−8.15356	−	3.81045i	−0.640604	−	0.299377i
$163$	5.31247	−	16.3501i	0.416105	−	1.28064i	−0.495154	−	0.868805i	$-0.664889\pi$
$163$	5.31247	−	16.3501i	0.416105	−	1.28064i	0.911259	−	0.411833i	$-0.135111\pi$
$164$	5.49813			0.429331
$165$	0.214863	+	0.897240i	0.0167270	+	0.0698501i
$166$	14.2113			1.10301
$167$	6.43253	−	19.7973i	0.497764	−	1.53196i	−0.314841	−	0.949145i	$-0.601951\pi$
$167$	6.43253	−	19.7973i	0.497764	−	1.53196i	0.812605	−	0.582815i	$-0.198049\pi$
$168$	1.57907	+	0.711719i	0.121828	+	0.0549103i
$169$	25.7062	+	18.6766i	1.97740	+	1.43666i
$170$	0.416136	−	0.135211i	0.0319162	−	0.0103702i
$171$	−3.82775	+	17.2314i	−0.292715	+	1.31772i
$172$	1.41684	−	1.95012i	0.108033	−	0.148695i
$173$	−14.9931	+	10.8931i	−1.13990	+	0.828188i	−0.987106	−	0.160069i	$-0.948828\pi$
$173$	−14.9931	+	10.8931i	−1.13990	+	0.828188i	−0.152797	+	0.988258i	$0.548828\pi$
$174$	−2.23040	−	10.7344i	−0.169086	−	0.813773i
$175$			4.97421i			0.376015i
$176$	−2.02954	−	2.62316i	−0.152982	−	0.197728i
$177$	−12.4015	−	21.7088i	−0.932155	−	1.63173i
$178$	14.3610	+	4.66616i	1.07640	+	0.349743i
$179$	10.7526	+	14.7997i	0.803686	+	1.10618i	0.992267	+	0.124121i	$0.0396111\pi$
$179$	10.7526	+	14.7997i	0.803686	+	1.10618i	−0.188581	+	0.982058i	$0.560389\pi$
$180$	−0.191937	−	0.441936i	−0.0143062	−	0.0329399i
$181$	0.221317	+	0.681143i	0.0164503	+	0.0506289i	0.958945	−	0.283593i	$-0.0915265\pi$
$181$	0.221317	+	0.681143i	0.0164503	+	0.0506289i	−0.942494	+	0.334222i	$0.891526\pi$
$182$	−2.06775	−	6.36388i	−0.153272	−	0.471722i
$183$	1.52589	−	13.9057i	0.112797	−	1.02794i
$184$	−1.73022	−	2.38144i	−0.127553	−	0.175562i
$185$	0.0946322	+	0.0307479i	0.00695750	+	0.00226063i
$186$	−12.6804	+	7.24391i	−0.929774	+	0.531150i
$187$	−5.52926	−	7.14651i	−0.404339	−	0.522604i
$188$			2.66619i			0.194452i
$189$	1.67336	−	4.91934i	0.121719	−	0.357829i
$190$	−0.764500	+	0.555442i	−0.0554627	+	0.0402960i
$191$	15.3041	−	21.0643i	1.10737	−	1.52416i	0.282126	−	0.959377i	$-0.408960\pi$
$191$	15.3041	−	21.0643i	1.10737	−	1.52416i	0.825240	−	0.564782i	$-0.191040\pi$
$192$	1.28185	+	1.16484i	0.0925095	+	0.0840654i
$193$	−2.38681	+	0.775523i	−0.171807	+	0.0558234i	−0.393657	−	0.919257i	$-0.628790\pi$
$193$	−2.38681	+	0.775523i	−0.171807	+	0.0558234i	0.221851	+	0.975081i	$0.428790\pi$
$194$	−8.38572	−	6.09258i	−0.602060	−	0.437422i
$195$	−0.764865	+	1.69698i	−0.0547731	+	0.121523i
$196$	−0.309017	+	0.951057i	−0.0220726	+	0.0679326i
$197$	7.14552			0.509097			0.254549	−	0.967060i	$-0.418073\pi$
$197$	7.14552			0.509097			0.254549	+	0.967060i	$0.418073\pi$
$198$	−7.25256	+	6.81179i	−0.515417	+	0.484093i
$199$	12.9631			0.918927			0.459464	−	0.888197i	$-0.348042\pi$
$199$	12.9631			0.918927			0.459464	+	0.888197i	$0.348042\pi$
$200$	−1.53711	+	4.73075i	−0.108690	+	0.334515i
$201$	−6.68096	+	14.8228i	−0.471238	+	1.04552i
$202$	−9.57177	−	6.95430i	−0.673467	−	0.489303i
$203$	6.02007	−	1.95604i	0.422526	−	0.137287i
$204$	3.49226	+	3.17349i	0.244507	+	0.222189i
$205$	0.519031	−	0.714386i	0.0362507	−	0.0498948i
$206$	−0.881475	+	0.640429i	−0.0614153	+	0.0446208i
$207$	−6.61640	+	5.84872i	−0.459872	+	0.406514i
$208$		−	6.69138i		−	0.463964i
$209$	16.1264	+	10.9887i	1.11549	+	0.760104i
$210$	0.241542	−	0.137985i	0.0166680	−	0.00952187i
$211$	−21.9899	−	7.14496i	−1.51385	−	0.491879i	−0.569828	−	0.821764i	$-0.692990\pi$
$211$	−21.9899	−	7.14496i	−1.51385	−	0.491879i	−0.944021	+	0.329885i	$0.892990\pi$
$212$	−1.52511	−	2.09913i	−0.104745	−	0.144169i
$213$	1.99234	−	18.1565i	0.136513	−	1.24407i
$214$	−2.57918	−	7.93789i	−0.176309	−	0.542623i
$215$	−0.119632	−	0.368188i	−0.00815881	−	0.0251102i
$216$	3.11162	−	4.16147i	0.211719	−	0.283152i
$217$	−4.95588	−	6.82118i	−0.336427	−	0.463052i
$218$	−0.727992	−	0.236539i	−0.0493058	−	0.0160204i
$219$	0.0873627	+	0.152928i	0.00590342	+	0.0103339i
$220$	−0.532426	+	0.0160731i	−0.0358961	+	0.00108364i
$221$		−	18.2299i		−	1.22628i
$222$	0.218303	+	1.05064i	0.0146515	+	0.0705145i
$223$	6.15373	−	4.47095i	0.412084	−	0.299397i	−0.362361	−	0.932038i	$-0.618029\pi$
$223$	6.15373	−	4.47095i	0.412084	−	0.299397i	0.774445	+	0.632641i	$0.218029\pi$
$224$	−0.587785	+	0.809017i	−0.0392731	+	0.0540547i
$225$	14.5675	+	3.23599i	0.971169	+	0.215733i
$226$	−9.89485	+	3.21503i	−0.658195	+	0.213861i
$227$	−19.2651	−	13.9969i	−1.27867	−	0.929009i	−0.279160	−	0.960245i	$-0.590056\pi$
$227$	−19.2651	−	13.9969i	−1.27867	−	0.929009i	−0.999512	+	0.0312354i	$0.990056\pi$
$228$	−9.29096	−	4.18763i	−0.615309	−	0.277332i
$229$	−4.25896	+	13.1077i	−0.281440	+	0.866184i	0.706003	+	0.708209i	$0.250496\pi$
$229$	−4.25896	+	13.1077i	−0.281440	+	0.866184i	−0.987443	+	0.157975i	$0.949504\pi$
$230$	−0.472762			−0.0311730
$231$	−4.36605	−	3.73331i	−0.287265	−	0.245634i
$232$	6.32988			0.415577
$233$	0.322037	−	0.991129i	0.0210974	−	0.0649310i	−0.939954	−	0.341302i	$-0.889132\pi$
$233$	0.322037	−	0.991129i	0.0210974	−	0.0649310i	0.961051	+	0.276371i	$0.0891320\pi$
$234$	−19.9825	+	1.91559i	−1.30630	+	0.125226i
$235$	0.346424	+	0.251692i	0.0225982	+	0.0164186i
$236$	13.7281	−	4.46052i	0.893621	−	0.290355i
$237$	10.6838	−	11.7570i	0.693991	−	0.763700i
$238$	−1.60136	+	2.20408i	−0.103800	+	0.142869i
$239$	−17.2577	+	12.5384i	−1.11630	+	0.811043i	−0.983645	−	0.180119i	$-0.942352\pi$
$239$	−17.2577	+	12.5384i	−1.11630	+	0.811043i	−0.132660	+	0.991162i	$0.542352\pi$
$240$	0.272360	−	0.0565910i	0.0175807	−	0.00365293i
$241$		−	12.2281i		−	0.787678i	−0.919179	−	0.393839i	$-0.871147\pi$
$241$		−	12.2281i		−	0.787678i	0.919179	−	0.393839i	$-0.128853\pi$
$242$	4.02406	+	10.2375i	0.258676	+	0.658093i
$243$	−13.3182	−	8.10093i	−0.854364	−	0.519675i
$244$	7.68134	+	2.49582i	0.491747	+	0.159778i
$245$	0.0944015	+	0.129933i	0.00603109	+	0.00830109i
$246$	9.46621	+	1.03874i	0.603544	+	0.0662276i
$247$	12.1663	+	37.4439i	0.774121	+	2.38250i
$248$	−2.60546	−	8.01878i	−0.165447	−	0.509193i
$249$	24.4678	+	2.68489i	1.55059	+	0.170148i
$250$	0.941580	+	1.29597i	0.0595508	+	0.0819646i
$251$	−0.705970	−	0.229384i	−0.0445604	−	0.0144786i	0.286652	−	0.958035i	$-0.407458\pi$
$251$	−0.705970	−	0.229384i	−0.0445604	−	0.0144786i	−0.331212	+	0.943556i	$0.607458\pi$
$252$	2.58424	+	1.52371i	0.162792	+	0.0959844i
$253$	3.29570	+	9.18981i	0.207199	+	0.577758i
$254$			13.6375i			0.855691i
$255$	0.742014	−	0.154176i	0.0464667	−	0.00965486i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−1.74642	+	2.40375i	−0.108939	+	0.149942i	−0.860005	−	0.510285i	$-0.829540\pi$
$257$	−1.74642	+	2.40375i	−0.108939	+	0.149942i	0.751066	+	0.660227i	$0.229540\pi$
$258$	2.80783	−	3.08987i	0.174808	−	0.192367i
$259$	−0.589221	+	0.191450i	−0.0366124	+	0.0118961i
$260$	−0.869428	−	0.631676i	−0.0539196	−	0.0391749i
$261$	−1.81210	−	18.9030i	−0.112166	−	1.17006i
$262$	2.30905	−	7.10652i	0.142653	−	0.439042i
$263$	2.16498			0.133499			0.0667493	−	0.997770i	$-0.478737\pi$
$263$	2.16498			0.133499			0.0667493	+	0.997770i	$0.478737\pi$
$264$	−2.99871	−	4.89977i	−0.184558	−	0.301560i
$265$	−0.416718			−0.0255988
$266$	1.81820	−	5.59585i	0.111481	−	0.343103i
$267$	23.8439	+	10.7470i	1.45923	+	0.657704i
$268$	−7.59430	−	5.51758i	−0.463896	−	0.337040i
$269$	1.35856	−	0.441423i	0.0828328	−	0.0269140i	−0.267307	−	0.963611i	$-0.586134\pi$
$269$	1.35856	−	0.441423i	0.0828328	−	0.0269140i	0.350140	+	0.936697i	$0.386134\pi$
$270$	−0.246969	−	0.797150i	−0.0150300	−	0.0485130i
$271$	8.04765	−	11.0766i	0.488860	−	0.672858i	−0.491317	−	0.870981i	$-0.663484\pi$
$271$	8.04765	−	11.0766i	0.488860	−	0.672858i	0.980177	+	0.198123i	$0.0634844\pi$
$272$	−2.20408	+	1.60136i	−0.133642	+	0.0970964i
$273$	−2.35778	−	11.3474i	−0.142699	−	0.686779i
$274$		−	4.36559i		−	0.263735i
$275$	9.28988	−	13.6333i	0.560201	−	0.822122i
$276$	−2.52903	−	4.42705i	−0.152230	−	0.266477i
$277$	−8.82592	−	2.86771i	−0.530298	−	0.172304i	0.0316157	−	0.999500i	$-0.489935\pi$
$277$	−8.82592	−	2.86771i	−0.530298	−	0.172304i	−0.561914	+	0.827196i	$0.689935\pi$
$278$	−12.1741	−	16.7562i	−0.730155	−	1.00497i
$279$	−23.2007	+	10.0763i	−1.38899	+	0.603252i
$280$	0.0496298	+	0.152745i	0.00296595	+	0.00912825i
$281$	−4.04096	−	12.4368i	−0.241064	−	0.741918i	−0.996259	−	0.0864177i	$-0.972458\pi$
$281$	−4.04096	−	12.4368i	−0.241064	−	0.741918i	0.755195	−	0.655500i	$-0.227542\pi$
$282$	−0.503712	+	4.59042i	−0.0299956	+	0.273355i
$283$	−8.51009	−	11.7131i	−0.505873	−	0.696274i	0.477344	−	0.878717i	$-0.341600\pi$
$283$	−8.51009	−	11.7131i	−0.505873	−	0.696274i	−0.983216	+	0.182443i	$0.941600\pi$
$284$	10.0295	+	3.25877i	0.595139	+	0.193372i
$285$	−1.42119	+	0.811879i	−0.0841840	+	0.0480916i
$286$	−6.21794	+	21.3039i	−0.367675	+	1.25973i
$287$			5.49813i			0.324544i
$288$	1.98691	+	2.24771i	0.117080	+	0.132447i
$289$	7.74853	−	5.62964i	0.455796	−	0.331155i
$290$	0.597550	−	0.822457i	0.0350893	−	0.0482963i
$291$	−13.2868	−	12.0740i	−0.778885	−	0.707789i
$292$	−0.0967077	+	0.0314222i	−0.00565939	+	0.00183885i
$293$	−6.56633	−	4.77072i	−0.383609	−	0.278708i	0.379223	−	0.925305i	$-0.376191\pi$
$293$	−6.56633	−	4.77072i	−0.383609	−	0.278708i	−0.762832	+	0.646597i	$0.776191\pi$
$294$	−0.711719	+	1.57907i	−0.0415083	+	0.0920931i
$295$	0.716384	−	2.20480i	0.0417095	−	0.128369i
$296$	−0.619544			−0.0360103
$297$	−13.7738	+	10.3578i	−0.799235	+	0.601018i
$298$	−2.98726			−0.173047
$299$	−6.08668	+	18.7329i	−0.352002	+	1.08335i
$300$	−3.54024	+	7.85461i	−0.204396	+	0.453486i
$301$	1.95012	+	1.41684i	0.112403	+	0.0816655i
$302$	−0.144007	+	0.0467906i	−0.00828665	+	0.00269250i
$303$	−15.1660	−	13.7817i	−0.871265	−	0.791737i
$304$	3.45842	−	4.76011i	0.198354	−	0.273011i
$305$	1.04942	−	0.762447i	0.0600895	−	0.0436576i
$306$	5.41312	+	6.12362i	0.309447	+	0.350064i
$307$		−	20.9851i		−	1.19769i	−0.800867	−	0.598843i	$-0.795627\pi$
$307$		−	20.9851i		−	1.19769i	0.800867	−	0.598843i	$-0.204373\pi$
$308$	2.62316	−	2.02954i	0.149468	−	0.115644i
$309$	−1.63864	+	0.936103i	−0.0932192	+	0.0532531i
$310$	−1.28786	−	0.418451i	−0.0731455	−	0.0237664i
$311$	4.45601	+	6.13317i	0.252677	+	0.347780i	0.916447	−	0.400157i	$-0.131044\pi$
$311$	4.45601	+	6.13317i	0.252677	+	0.347780i	−0.663770	+	0.747937i	$0.731044\pi$
$312$	1.26418	−	11.5207i	0.0715699	−	0.652229i
$313$	−0.203328	−	0.625778i	−0.0114928	−	0.0353710i	0.945146	−	0.326649i	$-0.105920\pi$
$313$	−0.203328	−	0.625778i	−0.0114928	−	0.0353710i	−0.956638	+	0.291278i	$0.905920\pi$
$314$	0.549663	+	1.69169i	0.0310193	+	0.0954676i
$315$	0.441936	−	0.191937i	0.0249003	−	0.0108144i
$316$	5.39112	+	7.42024i	0.303274	+	0.417421i
$317$	16.2965	+	5.29505i	0.915302	+	0.297400i	0.728538	−	0.685005i	$-0.240200\pi$
$317$	16.2965	+	5.29505i	0.915302	+	0.297400i	0.186764	+	0.982405i	$0.440200\pi$
$318$	−2.22922	−	3.90224i	−0.125008	−	0.218827i
$319$	−20.1530	−	5.88202i	−1.12835	−	0.329330i
$320$			0.160605i			0.00897812i
$321$	−2.94094	−	14.1541i	−0.164147	−	0.790003i
$322$	2.38144	−	1.73022i	0.132713	−	0.0964214i
$323$	9.42209	−	12.9684i	0.524259	−	0.721581i
$324$	6.14354	−	6.57700i	0.341308	−	0.365389i
$325$	31.6552	−	10.2854i	1.75592	−	0.570532i
$326$	13.9082	+	10.1049i	0.770305	+	0.559660i
$327$	−1.20871	−	0.544789i	−0.0668416	−	0.0301269i
$328$	−1.69901	+	5.22903i	−0.0938124	+	0.288725i
$329$	−2.66619			−0.146992
$330$	−0.919722	−	0.0729159i	−0.0506290	−	0.00401389i
$331$	11.6127			0.638293			0.319147	−	0.947705i	$-0.396604\pi$
$331$	11.6127			0.638293			0.319147	+	0.947705i	$0.396604\pi$
$332$	−4.39153	+	13.5157i	−0.241017	+	0.741773i
$333$	0.177361	+	1.85015i	0.00971934	+	0.101388i
$334$	16.8406	+	12.2354i	0.921475	+	0.669491i
$335$	−1.43383	+	0.465879i	−0.0783383	+	0.0254537i
$336$	−1.16484	+	1.28185i	−0.0635474	+	0.0699306i
$337$	10.2525	−	14.1114i	0.558492	−	0.768698i	−0.432642	−	0.901566i	$-0.642419\pi$
$337$	10.2525	−	14.1114i	0.558492	−	0.768698i	0.991134	+	0.132868i	$0.0424186\pi$
$338$	−25.7062	+	18.6766i	−1.39823	+	1.01587i
$339$	−17.6435	+	3.66597i	−0.958265	+	0.199108i
$340$			0.437552i			0.0237296i
$341$	0.843801	+	27.9512i	0.0456944	+	1.51364i
$342$	−15.2052	−	8.96521i	−0.822205	−	0.484783i
$343$	−0.951057	−	0.309017i	−0.0513522	−	0.0166853i
$344$	1.41684	+	1.95012i	0.0763911	+	0.105143i
$345$	−0.813963	−	0.0893172i	−0.0438223	−	0.00480868i
$346$	−5.72685	−	17.6254i	−0.307877	−	0.947549i
$347$	3.71644	+	11.4380i	0.199509	+	0.614025i	0.999894	+	0.0145394i	$0.00462821\pi$
$347$	3.71644	+	11.4380i	0.199509	+	0.614025i	−0.800385	+	0.599486i	$0.795372\pi$
$348$	10.8983	+	1.19588i	0.584208	+	0.0641059i
$349$	5.97931	+	8.22981i	0.320065	+	0.440532i	0.938487	−	0.345315i	$-0.112228\pi$
$349$	5.97931	+	8.22981i	0.320065	+	0.440532i	−0.618422	+	0.785846i	$0.712228\pi$
$350$	−4.73075	−	1.53711i	−0.252869	−	0.0821622i
$351$	−34.7662	−	0.477122i	−1.85568	−	0.0254669i
$352$	3.12194	−	1.11961i	0.166400	−	0.0596752i
$353$			9.39359i			0.499970i	0.968250	+	0.249985i	$0.0804257\pi$
$353$			9.39359i			0.499970i	−0.968250	+	0.249985i	$0.919574\pi$
$354$	24.4786	−	5.08616i	1.30102	−	0.270326i
$355$	1.37022	−	0.995521i	0.0727236	−	0.0528368i
$356$	−8.87556	+	12.2162i	−0.470404	+	0.647455i
$357$	−3.17349	+	3.49226i	−0.167959	+	0.184830i
$358$	−17.3980	+	5.65297i	−0.919515	+	0.298769i
$359$	17.8080	+	12.9382i	0.939869	+	0.682855i	0.948389	−	0.317109i	$-0.102712\pi$
$359$	17.8080	+	12.9382i	0.939869	+	0.682855i	−0.00852040	+	0.999964i	$0.502712\pi$
$360$	0.479618	−	0.0459777i	0.0252781	−	0.00242324i
$361$	−4.82665	+	14.8549i	−0.254034	+	0.781837i
$362$	−0.716196			−0.0376424
$363$	4.99415	+	18.3864i	0.262125	+	0.965034i
$364$	6.69138			0.350724
$365$	−0.00504658	+	0.0155318i	−0.000264150	+	0.000812971i
$366$	12.7536	+	5.74830i	0.666639	+	0.300468i
$367$	13.6048	+	9.88448i	0.710166	+	0.515966i	0.883227	−	0.468945i	$-0.155366\pi$
$367$	13.6048	+	9.88448i	0.710166	+	0.515966i	−0.173061	+	0.984911i	$0.555366\pi$
$368$	2.79955	−	0.909630i	0.145937	−	0.0474178i
$369$	16.1019	+	3.57683i	0.838231	+	0.186202i
$370$	−0.0584859	+	0.0804989i	−0.00304054	+	0.00418494i
$371$	2.09913	−	1.52511i	0.108981	−	0.0791796i
$372$	−2.97090	−	14.2983i	−0.154034	−	0.741332i
$373$		−	11.6100i		−	0.601145i	−0.953759	−	0.300572i	$-0.902822\pi$
$373$		−	11.6100i		−	0.601145i	0.953759	−	0.300572i	$-0.0971777\pi$
$374$	8.50536	−	3.05024i	0.439802	−	0.157724i
$375$	1.37629	+	2.40919i	0.0710713	+	0.124410i
$376$	−2.53569	−	0.823897i	−0.130768	−	0.0424892i
$377$	−24.8960	−	34.2664i	−1.28221	−	1.76481i
$378$	4.16147	+	3.11162i	0.214043	+	0.160044i
$379$	5.02873	+	15.4768i	0.258308	+	0.794992i	0.993160	+	0.116763i	$0.0372519\pi$
$379$	5.02873	+	15.4768i	0.258308	+	0.794992i	−0.734851	+	0.678228i	$0.762748\pi$
$380$	−0.292013	−	0.898724i	−0.0149800	−	0.0461036i
$381$	−2.57647	+	23.4798i	−0.131997	+	1.20291i
$382$	15.3041	+	21.0643i	0.783026	+	1.07774i
$383$	14.2826	+	4.64070i	0.729807	+	0.237129i	0.650270	−	0.759703i	$-0.274656\pi$
$383$	14.2826	+	4.64070i	0.729807	+	0.237129i	0.0795372	+	0.996832i	$0.474656\pi$
$384$	−1.50395	+	0.859155i	−0.0767479	+	0.0438436i
$385$	−0.0160731	−	0.532426i	−0.000819159	−	0.0271349i
$386$		−	2.50964i		−	0.127738i
$387$	5.41805	−	4.78941i	0.275415	−	0.243459i
$388$	8.38572	−	6.09258i	0.425720	−	0.309304i
$389$	−1.76075	+	2.42346i	−0.0892736	+	0.122875i	−0.851318	−	0.524651i	$-0.824196\pi$
$389$	−1.76075	+	2.42346i	−0.0892736	+	0.122875i	0.762044	+	0.647525i	$0.224196\pi$
$390$	−1.37757	−	1.25183i	−0.0697559	−	0.0633886i
$391$	7.62707	−	2.47819i	0.385718	−	0.125327i
$392$	−0.809017	−	0.587785i	−0.0408615	−	0.0296876i
$393$	5.31813	−	11.7992i	0.268264	−	0.595189i
$394$	−2.20809	+	6.79580i	−0.111242	+	0.342367i
$395$	1.47306			0.0741177
$396$	−4.23723	−	9.00255i	−0.212929	−	0.452395i
$397$	8.11214			0.407137			0.203568	−	0.979061i	$-0.434746\pi$
$397$	8.11214			0.407137			0.203568	+	0.979061i	$0.434746\pi$
$398$	−4.00581	+	12.3286i	−0.200793	+	0.617977i
$399$	4.18763	−	9.29096i	0.209644	−	0.465130i
$400$	−4.02422	−	2.92376i	−0.201211	−	0.146188i
$401$	−30.8478	+	10.0231i	−1.54047	+	0.500528i	−0.951505	−	0.307633i	$-0.900463\pi$
$401$	−30.8478	+	10.0231i	−1.54047	+	0.500528i	−0.588962	+	0.808161i	$0.700463\pi$
$402$	−12.0328	−	10.9345i	−0.600142	−	0.545362i
$403$	−33.1617	+	45.6431i	−1.65190	+	2.27364i
$404$	9.57177	−	6.95430i	0.476213	−	0.345989i
$405$	−0.274607	−	1.41912i	−0.0136453	−	0.0705169i
$406$			6.32988i			0.314147i
$407$	1.97250	+	0.575709i	0.0977730	+	0.0285369i
$408$	−4.09733	+	2.34067i	−0.202848	+	0.115881i
$409$	24.0621	+	7.81825i	1.18979	+	0.386587i	0.835997	−	0.548735i	$-0.184890\pi$
$409$	24.0621	+	7.81825i	1.18979	+	0.386587i	0.353797	+	0.935322i	$0.384890\pi$
$410$	0.519031	+	0.714386i	0.0256331	+	0.0352810i
$411$	0.824774	−	7.51630i	0.0406831	−	0.370752i
$412$	−0.336693	−	1.03624i	−0.0165877	−	0.0510517i
$413$	4.46052	+	13.7281i	0.219488	+	0.675514i
$414$	−3.51789	−	8.09993i	−0.172895	−	0.398090i
$415$	1.34157	+	1.84651i	0.0658550	+	0.0906416i
$416$	6.36388	+	2.06775i	0.312015	+	0.101380i
$417$	−17.7947	−	31.1495i	−0.871410	−	1.52540i
$418$	−15.4342	+	11.9415i	−0.754912	+	0.584076i
$419$		−	3.94839i		−	0.192892i	−0.995338	−	0.0964458i	$-0.969253\pi$
$419$		−	3.94839i		−	0.192892i	0.995338	−	0.0964458i	$-0.0307475\pi$
$420$	0.0565910	+	0.272360i	0.00276136	+	0.0132898i
$421$	−21.4274	+	15.5679i	−1.04431	+	0.758733i	−0.971121	−	0.238586i	$-0.923316\pi$
$421$	−21.4274	+	15.5679i	−1.04431	+	0.758733i	−0.0731846	+	0.997318i	$0.523316\pi$
$422$	13.5905	−	18.7057i	0.661576	−	0.910582i
$423$	−1.73450	+	7.80823i	−0.0843342	+	0.379649i
$424$	2.46767	−	0.801796i	0.119841	−	0.0389387i
$425$	−10.9635	−	7.96547i	−0.531809	−	0.386382i
$426$	16.6522	+	7.50551i	0.806803	+	0.363643i
$427$	−2.49582	+	7.68134i	−0.120781	+	0.371726i
$428$	8.34639			0.403438
$429$	−14.7304	+	35.5046i	−0.711191	+	1.71418i
$430$	0.387136			0.0186694
$431$	−11.3955	+	35.0716i	−0.548900	+	1.68934i	0.162631	+	0.986687i	$0.448002\pi$
$431$	−11.3955	+	35.0716i	−0.548900	+	1.68934i	−0.711531	+	0.702655i	$0.751998\pi$
$432$	2.99625	+	4.24529i	0.144157	+	0.204252i
$433$	−17.7907	−	12.9257i	−0.854966	−	0.621169i	0.0715448	−	0.997437i	$-0.477207\pi$
$433$	−17.7907	−	12.9257i	−0.854966	−	0.621169i	−0.926511	+	0.376268i	$0.877207\pi$
$434$	8.01878	−	2.60546i	0.384914	−	0.125066i
$435$	1.18420	−	1.30314i	0.0567778	−	0.0624810i
$436$	0.449924	−	0.619267i	0.0215474	−	0.0296575i
$437$	−14.0120	+	10.1803i	−0.670284	+	0.486990i
$438$	−0.172440	+	0.0358295i	−0.00823949	+	0.00171200i
$439$		−	0.987382i		−	0.0471252i	−0.999722	−	0.0235626i	$-0.992499\pi$
$439$		−	0.987382i		−	0.0471252i	0.999722	−	0.0235626i	$-0.00750090\pi$
$440$	0.149242	−	0.511334i	0.00711484	−	0.0243769i
$441$	−1.52371	+	2.58424i	−0.0725574	+	0.123059i
$442$	17.3377	+	5.63335i	0.824669	+	0.267951i
$443$	−5.42049	−	7.46066i	−0.257535	−	0.354467i	0.660597	−	0.750740i	$-0.270303\pi$
$443$	−5.42049	−	7.46066i	−0.257535	−	0.354467i	−0.918132	+	0.396274i	$0.870303\pi$
$444$	−1.06668	−	0.117048i	−0.0506223	−	0.00555486i
$445$	0.749411	+	2.30645i	0.0355255	+	0.109336i
$446$	2.35051	+	7.23414i	0.111300	+	0.342547i
$447$	−5.14322	−	0.564372i	−0.243266	−	0.0266939i
$448$	−0.587785	−	0.809017i	−0.0277702	−	0.0382225i
$449$	−28.6076	−	9.29517i	−1.35008	−	0.438666i	−0.457358	−	0.889283i	$-0.651204\pi$
$449$	−28.6076	−	9.29517i	−1.35008	−	0.438666i	−0.892718	+	0.450617i	$0.851204\pi$
$450$	−7.57923	+	12.8546i	−0.357288	+	0.605970i
$451$	10.2684	−	15.0693i	0.483518	−	0.709586i
$452$		−	10.4041i		−	0.489366i
$453$	−0.256779	+	0.0533535i	−0.0120645	+	0.00250677i
$454$	19.2651	−	13.9969i	0.904157	−	0.656909i
$455$	0.631676	−	0.869428i	0.0296134	−	0.0407594i
$456$	6.85373	−	7.54218i	0.320956	−	0.353195i
$457$	−13.0274	+	4.23287i	−0.609398	+	0.198005i	−0.597427	−	0.801923i	$-0.703810\pi$
$457$	−13.0274	+	4.23287i	−0.609398	+	0.198005i	−0.0119705	+	0.999928i	$0.503810\pi$
$458$	−11.1501	−	8.10103i	−0.521010	−	0.378536i
$459$	8.16294	+	11.5658i	0.381014	+	0.539846i
$460$	0.146092	−	0.449624i	0.00681156	−	0.0209638i
$461$	−2.00605			−0.0934310			−0.0467155	−	0.998908i	$-0.514875\pi$
$461$	−2.00605			−0.0934310			−0.0467155	+	0.998908i	$0.514875\pi$
$462$	4.89977	−	2.99871i	0.227958	−	0.139513i
$463$	−22.4838			−1.04491			−0.522456	−	0.852666i	$-0.674984\pi$
$463$	−22.4838			−1.04491			−0.522456	+	0.852666i	$0.674984\pi$
$464$	−1.95604	+	6.02007i	−0.0908069	+	0.279475i
$465$	−2.13827	−	0.963764i	−0.0991600	−	0.0446935i
$466$	0.843104	+	0.612551i	0.0390561	+	0.0283759i
$467$	14.7956	−	4.80739i	0.684659	−	0.222459i	0.0540251	−	0.998540i	$-0.482795\pi$
$467$	14.7956	−	4.80739i	0.684659	−	0.222459i	0.630634	+	0.776080i	$0.282795\pi$
$468$	4.35311	−	19.5965i	0.201222	−	0.905847i
$469$	5.51758	−	7.59430i	0.254778	−	0.350672i
$470$	−0.346424	+	0.251692i	−0.0159794	+	0.0116097i
$471$	0.626760	+	3.01646i	0.0288796	+	0.138991i
$472$			14.4345i			0.664404i
$473$	−2.69879	−	7.52536i	−0.124090	−	0.346016i
$474$	7.88010	+	13.7941i	0.361945	+	0.633582i
$475$	27.8349	+	9.04411i	1.27715	+	0.414972i
$476$	−1.60136	−	2.20408i	−0.0733980	−	0.101024i
$477$	−3.10085	−	7.13970i	−0.141978	−	0.326905i
$478$	−6.59184	−	20.2876i	−0.301504	−	0.927933i
$479$	−7.65871	−	23.5711i	−0.349935	−	1.07699i	−0.958888	−	0.283784i	$-0.908410\pi$
$479$	−7.65871	−	23.5711i	−0.349935	−	1.07699i	0.608953	−	0.793206i	$-0.291590\pi$
$480$	−0.0303426	+	0.276517i	−0.00138494	+	0.0126212i
$481$	2.43673	+	3.35386i	0.111105	+	0.152923i
$482$	11.6296	+	3.77868i	0.529712	+	0.172114i
$483$	4.42705	−	2.52903i	0.201438	−	0.115075i
$484$	−10.9800	+	0.663539i	−0.499089	+	0.0301609i
$485$		−	1.66473i		−	0.0755914i
$486$	11.8200	−	10.1631i	0.536166	−	0.461006i
$487$	18.9050	−	13.7353i	0.856667	−	0.622405i	−0.0703088	−	0.997525i	$-0.522398\pi$
$487$	18.9050	−	13.7353i	0.856667	−	0.622405i	0.926976	+	0.375120i	$0.122398\pi$
$488$	−4.74733	+	6.53414i	−0.214901	+	0.295787i
$489$	22.0369	+	20.0254i	0.996544	+	0.905581i
$490$	−0.152745	+	0.0496298i	−0.00690031	+	0.00224205i
$491$	−11.4997	−	8.35505i	−0.518976	−	0.377058i	0.297242	−	0.954802i	$-0.403933\pi$
$491$	−11.4997	−	8.35505i	−0.518976	−	0.377058i	−0.816218	+	0.577744i	$0.803933\pi$
$492$	−3.91312	+	8.68191i	−0.176417	+	0.391411i
$493$	−5.32901	+	16.4010i	−0.240007	+	0.738664i
$494$	−39.3709			−1.77138
$495$	−1.56973	−	0.299300i	−0.0705539	−	0.0134525i
$496$	8.43144			0.378583
$497$	−3.25877	+	10.0295i	−0.146176	+	0.449883i
$498$	−10.1145	+	22.4406i	−0.453239	+	1.00559i
$499$	31.5546	+	22.9258i	1.41258	+	1.02630i	0.992941	+	0.118606i	$0.0378424\pi$
$499$	31.5546	+	22.9258i	1.41258	+	1.02630i	0.419636	+	0.907692i	$0.362158\pi$
$500$	−1.52351	+	0.495018i	−0.0681334	+	0.0221379i
$501$	26.6831	+	24.2475i	1.19211	+	1.08330i
$502$	0.436314	−	0.600534i	0.0194736	−	0.0268031i
$503$	−11.0554	+	8.03224i	−0.492937	+	0.358140i	−0.806313	−	0.591489i	$-0.798540\pi$
$503$	−11.0554	+	8.03224i	−0.492937	+	0.358140i	0.313376	+	0.949629i	$0.398540\pi$
$504$	−2.24771	+	1.98691i	−0.100121	+	0.0885041i
$505$		−	1.90018i		−	0.0845569i
$506$	−9.75846	+	0.294592i	−0.433816	+	0.0130962i
$507$	−47.7872	+	27.2993i	−2.12230	+	1.21240i
$508$	−12.9700	−	4.21421i	−0.575451	−	0.186975i
$509$	−0.328071	−	0.451551i	−0.0145415	−	0.0200146i	0.801684	−	0.597748i	$-0.203938\pi$
$509$	−0.328071	−	0.451551i	−0.0145415	−	0.0200146i	−0.816226	+	0.577733i	$0.803938\pi$
$510$	−0.0826650	+	0.753340i	−0.00366047	+	0.0333584i
$511$	−0.0314222	−	0.0967077i	−0.00139004	−	0.00427810i
$512$	−0.309017	−	0.951057i	−0.0136568	−	0.0420312i
$513$	−24.4853	−	18.3082i	−1.08105	−	0.808328i
$514$	−1.74642	−	2.40375i	−0.0770314	−	0.106025i
$515$	−0.166425	−	0.0540748i	−0.00733357	−	0.00238282i
$516$	2.07097	+	3.62523i	0.0911695	+	0.159592i
$517$	7.30750	+	4.97940i	0.321384	+	0.218994i
$518$		−	0.619544i		−	0.0272212i
$519$	−6.53010	−	31.4279i	−0.286640	−	1.37953i
$520$	0.869428	−	0.631676i	0.0381269	−	0.0277008i
$521$	10.1785	−	14.0094i	0.445926	−	0.613765i	−0.525590	−	0.850738i	$-0.676155\pi$
$521$	10.1785	−	14.0094i	0.445926	−	0.613765i	0.971516	+	0.236973i	$0.0761553\pi$
$522$	18.5378	+	4.11793i	0.811376	+	0.180237i
$523$	3.75620	−	1.22046i	0.164247	−	0.0533672i	−0.225739	−	0.974188i	$-0.572480\pi$
$523$	3.75620	−	1.22046i	0.164247	−	0.0533672i	0.389986	+	0.920821i	$0.372480\pi$
$524$	6.04517	+	4.39207i	0.264084	+	0.191868i
$525$	−7.85461	−	3.54024i	−0.342803	−	0.154509i
$526$	−0.669016	+	2.05902i	−0.0291705	+	0.0897776i
$527$	22.9705			1.00061
$528$	5.58661	−	1.33783i	0.243126	−	0.0582215i
$529$	14.3351			0.623264
$530$	0.128773	−	0.396322i	0.00559353	−	0.0172151i
$531$	43.1060	−	4.13228i	1.87064	−	0.179326i
$532$	4.76011	+	3.45842i	0.206377	+	0.149942i
$533$	34.9894	−	11.3687i	1.51556	−	0.492435i
$534$	−17.5892	+	19.3559i	−0.761157	+	0.837614i
$535$	0.787912	−	1.08447i	0.0340644	−	0.0468856i
$536$	7.59430	−	5.51758i	0.328024	−	0.238323i
$537$	−31.0225	+	6.44586i	−1.33872	+	0.278159i
$538$			1.42847i			0.0615859i
$539$	2.02954	+	2.62316i	0.0874185	+	0.112987i
$540$	0.834452	+	0.0114518i	0.0359091	+	0.000492808i
$541$	−2.19061	−	0.711774i	−0.0941819	−	0.0306015i	0.261547	−	0.965191i	$-0.415767\pi$
$541$	−2.19061	−	0.711774i	−0.0941819	−	0.0306015i	−0.355729	+	0.934589i	$0.615767\pi$
$542$	8.04765	+	11.0766i	0.345676	+	0.475783i
$543$	−1.23309	−	0.135308i	−0.0529168	−	0.00580663i
$544$	−0.841882	−	2.59105i	−0.0360954	−	0.111090i
$545$	−0.0379894	−	0.116919i	−0.00162729	−	0.00500828i
$546$	11.5207	+	1.26418i	0.493039	+	0.0541018i
$547$	−10.3976	−	14.3110i	−0.444568	−	0.611895i	0.526652	−	0.850081i	$-0.323447\pi$
$547$	−10.3976	−	14.3110i	−0.444568	−	0.611895i	−0.971219	+	0.238186i	$0.923447\pi$
$548$	4.15192	+	1.34904i	0.177361	+	0.0576281i
$549$	20.8720	+	12.3064i	0.890796	+	0.525225i
$550$	10.0954	+	13.0481i	0.430467	+	0.556374i
$551$		−	37.2439i		−	1.58664i
$552$	4.99189	−	1.03722i	0.212469	−	0.0441469i
$553$	−7.42024	+	5.39112i	−0.315541	+	0.229254i
$554$	5.45472	−	7.50777i	0.231749	−	0.318975i
$555$	−0.115904	+	0.127547i	−0.00491987	+	0.00541406i
$556$	19.6981	−	6.40031i	0.835387	−	0.271434i
$557$	19.5079	+	14.1733i	0.826575	+	0.600542i	0.918588	−	0.395216i	$-0.129330\pi$
$557$	19.5079	+	14.1733i	0.826575	+	0.600542i	−0.0920130	+	0.995758i	$0.529330\pi$
$558$	−2.41373	−	25.1789i	−0.102181	−	1.06591i
$559$	4.98427	−	15.3400i	0.210812	−	0.648813i
$560$	−0.160605			−0.00678682
$561$	15.2201	−	3.64477i	0.642593	−	0.153882i
$562$	13.0768			0.551613
$563$	3.90298	−	12.0121i	0.164491	−	0.506251i	−0.834507	−	0.550997i	$-0.814248\pi$
$563$	3.90298	−	12.0121i	0.164491	−	0.506251i	0.998998	+	0.0447455i	$0.0142477\pi$
$564$	−4.21009	−	1.89758i	−0.177277	−	0.0799023i
$565$	−1.35183	−	0.982159i	−0.0568717	−	0.0413197i
$566$	13.7696	−	4.47402i	0.578780	−	0.188057i
$567$	6.57700	+	6.14354i	0.276208	+	0.258004i
$568$	−6.19855	+	8.53157i	−0.260085	+	0.357977i
$569$	−5.85782	+	4.25595i	−0.245572	+	0.178419i	−0.703762	−	0.710436i	$-0.748498\pi$
$569$	−5.85782	+	4.25595i	−0.245572	+	0.178419i	0.458190	+	0.888854i	$0.348498\pi$
$570$	−0.332971	−	1.60252i	−0.0139466	−	0.0671220i
$571$		−	23.6249i		−	0.988672i	−0.869271	−	0.494336i	$-0.835411\pi$
$571$		−	23.6249i		−	0.988672i	0.869271	−	0.494336i	$-0.164589\pi$
$572$	−18.3398	−	12.4969i	−0.766825	−	0.522521i
$573$	22.3697	+	39.1581i	0.934509	+	1.63585i
$574$	−5.22903	−	1.69901i	−0.218255	−	0.0709155i
$575$	8.60647	+	11.8458i	0.358915	+	0.494004i
$576$	−2.75168	+	1.19509i	−0.114654	+	0.0497953i
$577$	−7.52191	−	23.1501i	−0.313141	−	0.963749i	−0.976513	−	0.215459i	$-0.930875\pi$
$577$	−7.52191	−	23.1501i	−0.313141	−	0.963749i	0.663372	−	0.748290i	$-0.269125\pi$
$578$	2.95967	+	9.10894i	0.123106	+	0.378882i
$579$	0.474138	−	4.32090i	0.0197045	−	0.179570i
$580$	0.597550	+	0.822457i	0.0248119	+	0.0341507i
$581$	−13.5157	−	4.39153i	−0.560728	−	0.182191i
$582$	15.5889	−	8.90542i	0.646180	−	0.369141i
$583$	−8.60162	+	0.259669i	−0.356243	+	0.0107544i
$584$		−	0.101684i		−	0.00420773i
$585$	−2.13528	−	2.41555i	−0.0882829	−	0.0998706i
$586$	6.56633	−	4.77072i	0.271253	−	0.197077i
$587$	10.3759	−	14.2812i	0.428259	−	0.589447i	−0.539294	−	0.842118i	$-0.681309\pi$
$587$	10.3759	−	14.2812i	0.428259	−	0.589447i	0.967552	+	0.252670i	$0.0813088\pi$
$588$	−1.28185	−	1.16484i	−0.0528626	−	0.0480374i
$589$	−47.1811	+	15.3301i	−1.94406	+	0.631664i
$590$	1.87552	+	1.36264i	0.0772138	+	0.0560991i
$591$	−5.08561	+	11.2833i	−0.209194	+	0.464132i
$592$	0.191450	−	0.589221i	0.00786853	−	0.0242169i
$593$	22.6256			0.929122			0.464561	−	0.885541i	$-0.346212\pi$
$593$	22.6256			0.929122			0.464561	+	0.885541i	$0.346212\pi$
$594$	−5.59449	−	16.3004i	−0.229545	−	0.668812i
$595$	−0.437552			−0.0179379
$596$	0.923115	−	2.84105i	0.0378123	−	0.116374i
$597$	−9.22606	+	20.4696i	−0.377598	+	0.837764i
$598$	−15.9351	−	11.5776i	−0.651636	−	0.473442i
$599$	−26.5826	+	8.63722i	−1.08614	+	0.352907i	−0.796753	−	0.604306i	$-0.793451\pi$
$599$	−26.5826	+	8.63722i	−1.08614	+	0.352907i	−0.289384	+	0.957213i	$0.593451\pi$
$600$	−6.37618	−	5.79417i	−0.260307	−	0.236546i
$601$	−14.4751	+	19.9233i	−0.590453	+	0.812688i	−0.994793	−	0.101921i	$-0.967501\pi$
$601$	−14.4751	+	19.9233i	−0.590453	+	0.812688i	0.404340	+	0.914609i	$0.367501\pi$
$602$	−1.95012	+	1.41684i	−0.0794809	+	0.0577462i
$603$	−18.6513	−	21.0994i	−0.759539	−	0.859233i
$604$		−	0.151418i		−	0.00616109i
$605$	−0.950310	+	1.48929i	−0.0386356	+	0.0605484i
$606$	17.7937	−	10.1650i	0.722820	−	0.412924i
$607$	9.71031	+	3.15507i	0.394129	+	0.128060i	0.499375	−	0.866386i	$-0.333563\pi$
$607$	9.71031	+	3.15507i	0.394129	+	0.128060i	−0.105246	+	0.994446i	$0.533563\pi$
$608$	3.45842	+	4.76011i	0.140258	+	0.193048i
$609$	−1.19588	+	10.8983i	−0.0484595	+	0.441619i
$610$	0.400842	+	1.23367i	0.0162296	+	0.0499496i
$611$	5.51301	+	16.9673i	0.223032	+	0.686423i
$612$	−7.49666	+	3.25588i	−0.303034	+	0.131611i
$613$	−19.0272	−	26.1887i	−0.768501	−	1.05775i	−0.996459	−	0.0840800i	$-0.973205\pi$
$613$	−19.0272	−	26.1887i	−0.768501	−	1.05775i	0.227958	−	0.973671i	$-0.426795\pi$
$614$	19.9581	+	6.48477i	0.805442	+	0.261704i
$615$	0.758659	+	1.32803i	0.0305921	+	0.0535513i
$616$	1.11961	+	3.12194i	0.0451102	+	0.125786i
$617$		−	1.78277i		−	0.0717717i	−0.999356	−	0.0358859i	$-0.988575\pi$
$617$		−	1.78277i		−	0.0717717i	0.999356	−	0.0358859i	$-0.0114253\pi$
$618$	−0.383918	−	1.84771i	−0.0154435	−	0.0743260i
$619$	−8.02668	+	5.83173i	−0.322620	+	0.234397i	−0.737292	−	0.675574i	$-0.763896\pi$
$619$	−8.02668	+	5.83173i	−0.322620	+	0.234397i	0.414673	+	0.909971i	$0.363896\pi$
$620$	0.795941	−	1.09552i	0.0319658	−	0.0439971i
$621$	−4.52651	−	14.6104i	−0.181643	−	0.586295i
$622$	−7.20997	+	2.34266i	−0.289094	+	0.0939322i
$623$	−12.2162	−	8.87556i	−0.489430	−	0.355592i
$624$	10.5661	+	4.76238i	0.422984	+	0.190648i
$625$	7.60607	−	23.4091i	0.304243	−	0.936363i
$626$	0.657982			0.0262982
$627$	−28.8294	+	17.6439i	−1.15133	+	0.704628i
$628$	−1.77875			−0.0709798
$629$	0.521583	−	1.60527i	0.0207969	−	0.0640062i
$630$	0.0459777	+	0.479618i	0.00183179	+	0.0191084i
$631$	−37.9689	−	27.5860i	−1.51152	−	1.09818i	−0.965498	−	0.260411i	$-0.916142\pi$
$631$	−37.9689	−	27.5860i	−1.51152	−	1.09818i	−0.546021	−	0.837771i	$-0.683858\pi$
$632$	−8.72301	+	2.83428i	−0.346983	+	0.112742i
$633$	26.9330	−	29.6384i	1.07049	−	1.17802i
$634$	−10.0718	+	13.8626i	−0.400002	+	0.550555i
$635$	−1.77195	+	1.28740i	−0.0703177	+	0.0510888i
$636$	4.40012	−	0.914257i	0.174476	−	0.0362526i
$637$			6.69138i			0.265122i
$638$	11.8217	−	17.3490i	0.468027	−	0.686853i
$639$	27.2524	+	16.0684i	1.07809	+	0.635656i
$640$	−0.152745	−	0.0496298i	−0.00603777	−	0.00196179i
$641$	−24.6324	−	33.9036i	−0.972920	−	1.33911i	−0.940558	−	0.339634i	$-0.889697\pi$
$641$	−24.6324	−	33.9036i	−0.972920	−	1.33911i	−0.0323623	−	0.999476i	$-0.510303\pi$
$642$	14.3701	+	1.57685i	0.567143	+	0.0622334i
$643$	−3.48769	−	10.7340i	−0.137541	−	0.423308i	0.858435	−	0.512922i	$-0.171437\pi$
$643$	−3.48769	−	10.7340i	−0.137541	−	0.423308i	−0.995977	+	0.0896133i	$0.971437\pi$
$644$	0.909630	+	2.79955i	0.0358445	+	0.110318i
$645$	0.666538	+	0.0731401i	0.0262449	+	0.00287989i
$646$	9.42209	+	12.9684i	0.370707	+	0.510235i
$647$	28.7627	+	9.34555i	1.13078	+	0.367412i	0.813871	−	0.581046i	$-0.197356\pi$
$647$	28.7627	+	9.34555i	1.13078	+	0.367412i	0.316905	+	0.948457i	$0.397356\pi$
$648$	4.35664	+	7.87526i	0.171145	+	0.309369i
$649$	13.4133	−	45.9565i	0.526517	−	1.80395i
$650$			33.2843i			1.30552i
$651$	14.2983	−	2.97090i	0.560394	−	0.116439i
$652$	−13.9082	+	10.1049i	−0.544688	+	0.395739i
$653$	5.11472	−	7.03980i	0.200154	−	0.275489i	−0.697127	−	0.716947i	$-0.745539\pi$
$653$	5.11472	−	7.03980i	0.200154	−	0.275489i	0.897282	+	0.441459i	$0.145539\pi$
$654$	0.891636	−	0.981199i	0.0348657	−	0.0383679i
$655$	1.14135	−	0.370846i	0.0445961	−	0.0144901i
$656$	−4.44808	−	3.23172i	−0.173668	−	0.126177i
$657$	−0.303661	+	0.0291099i	−0.0118470	+	0.00113569i
$658$	0.823897	−	2.53569i	0.0321188	−	0.0988516i
$659$	−1.04851			−0.0408442			−0.0204221	−	0.999791i	$-0.506501\pi$
$659$	−1.04851			−0.0408442			−0.0204221	+	0.999791i	$0.506501\pi$
$660$	0.353557	−	0.852176i	0.0137622	−	0.0331709i
$661$	−37.7527			−1.46841			−0.734206	−	0.678927i	$-0.762445\pi$
$661$	−37.7527			−1.46841			−0.734206	+	0.678927i	$0.762445\pi$
$662$	−3.58853	+	11.0444i	−0.139472	+	0.429251i
$663$	28.7863	+	12.9746i	1.11797	+	0.503891i
$664$	−11.4972	−	8.35319i	−0.446177	−	0.324167i
$665$	0.898724	−	0.292013i	0.0348510	−	0.0113238i
$666$	−1.81441	−	0.403047i	−0.0703068	−	0.0156178i
$667$	10.9521	−	15.0742i	0.424066	−	0.583677i
$668$	−16.8406	+	12.2354i	−0.651581	+	0.473402i
$669$	2.68020	+	12.8992i	0.103623	+	0.498712i
$670$		−	1.50761i		−	0.0582442i
$671$	21.1863	−	16.3919i	0.817889	−	0.632801i
$672$	−0.859155	−	1.50395i	−0.0331426	−	0.0580160i
$673$	−34.2404	−	11.1254i	−1.31987	−	0.428851i	−0.437419	−	0.899258i	$-0.644107\pi$
$673$	−34.2404	−	11.1254i	−1.31987	−	0.428851i	−0.882450	+	0.470407i	$0.844107\pi$
$674$	10.2525	+	14.1114i	0.394913	+	0.543552i
$675$	−15.4778	+	20.7000i	−0.595742	+	0.796743i
$676$	−9.81888	−	30.2194i	−0.377649	−	1.16228i
$677$	8.43360	+	25.9559i	0.324129	+	0.997568i	0.971832	+	0.235675i	$0.0757299\pi$
$677$	8.43360	+	25.9559i	0.324129	+	0.997568i	−0.647703	+	0.761893i	$0.724270\pi$
$678$	1.96560	−	17.9128i	0.0754884	−	0.687938i
$679$	6.09258	+	8.38572i	0.233812	+	0.321814i
$680$	−0.416136	−	0.135211i	−0.0159581	−	0.00518510i
$681$	35.8135	−	20.4591i	1.37238	−	0.783993i
$682$	−26.8439	−	7.83489i	−1.02791	−	0.300013i
$683$		−	45.1710i		−	1.72842i	−0.503131	−	0.864210i	$-0.667819\pi$
$683$		−	45.1710i		−	1.72842i	0.503131	−	0.864210i	$-0.332181\pi$
$684$	13.2251	−	11.6906i	0.505674	−	0.447003i
$685$	0.567232	−	0.412118i	0.0216728	−	0.0157462i
$686$	0.587785	−	0.809017i	0.0224417	−	0.0308884i
$687$	−17.6668	−	16.0542i	−0.674031	−	0.612507i
$688$	−2.29250	+	0.744879i	−0.0874008	+	0.0283982i
$689$	−14.0461	−	10.2051i	−0.535113	−	0.388782i
$690$	0.336474	−	0.746524i	0.0128093	−	0.0284197i
$691$	3.47116	−	10.6831i	0.132049	−	0.406406i	−0.863070	−	0.505084i	$-0.831462\pi$
$691$	3.47116	−	10.6831i	0.132049	−	0.406406i	0.995119	+	0.0986784i	$0.0314615\pi$
$692$	18.5325			0.704499
$693$	9.00255	−	4.23723i	0.341979	−	0.160959i
$694$	−12.0266			−0.456525
$695$	1.02793	−	3.16363i	0.0389914	−	0.120003i
$696$	−4.50509	+	9.99531i	−0.170765	+	0.378871i
$697$	−12.1183	−	8.80445i	−0.459013	−	0.333492i
$698$	−9.67472	+	3.14351i	−0.366194	+	0.118983i
$699$	1.33586	+	1.21392i	0.0505269	+	0.0459148i
$700$	2.92376	−	4.02422i	0.110508	−	0.152101i
$701$	24.7251	−	17.9638i	0.933852	−	0.678483i	−0.0130806	−	0.999914i	$-0.504164\pi$
$701$	24.7251	−	17.9638i	0.933852	−	0.678483i	0.946933	+	0.321431i	$0.104164\pi$
$702$	11.1971	−	32.9171i	0.422607	−	1.24238i
$703$			3.64529i			0.137485i
$704$	0.100078	+	3.31511i	0.00377183	+	0.124943i
$705$	−0.643996	+	0.367894i	−0.0242543	+	0.0138557i
$706$	−8.93383	−	2.90278i	−0.336229	−	0.109247i
$707$	6.95430	+	9.57177i	0.261543	+	0.359983i
$708$	−2.72706	+	24.8522i	−0.102489	+	0.934003i
$709$	−3.50974	−	10.8019i	−0.131811	−	0.405673i	0.863269	−	0.504744i	$-0.168413\pi$
$709$	−3.50974	−	10.8019i	−0.131811	−	0.405673i	−0.995080	+	0.0990706i	$0.968413\pi$
$710$	0.523376	+	1.61079i	0.0196420	+	0.0604517i
$711$	10.9612	+	25.2382i	0.411078	+	0.946507i
$712$	−8.87556	−	12.2162i	−0.332626	−	0.457820i
$713$	−23.6043	−	7.66949i	−0.883987	−	0.287225i
$714$	−2.34067	−	4.09733i	−0.0875974	−	0.153339i
$715$	−3.35506	+	1.20321i	−0.125472	+	0.0449975i
$716$		−	18.2934i		−	0.683656i
$717$	−7.51642	−	36.1748i	−0.280706	−	1.35097i
$718$	−17.8080	+	12.9382i	−0.664587	+	0.482851i
$719$	9.17659	−	12.6305i	0.342229	−	0.471038i	−0.602862	−	0.797846i	$-0.705973\pi$
$719$	9.17659	−	12.6305i	0.342229	−	0.471038i	0.945091	+	0.326808i	$0.105973\pi$
$720$	−0.104483	+	0.470351i	−0.00389384	+	0.0175290i
$721$	1.03624	−	0.336693i	0.0385914	−	0.0125391i
$722$	−12.6363	−	9.18083i	−0.470276	−	0.341675i
$723$	19.3089	+	8.70294i	0.718107	+	0.323666i
$724$	0.221317	−	0.681143i	0.00822517	−	0.0253145i
$725$	−31.4861			−1.16936
$726$	−19.0298	−	0.931978i	−0.706260	−	0.0345889i
$727$	−43.2823			−1.60525			−0.802626	−	0.596483i	$-0.796564\pi$
$727$	−43.2823			−1.60525			−0.802626	+	0.596483i	$0.796564\pi$
$728$	−2.06775	+	6.36388i	−0.0766359	+	0.235861i
$729$	22.2707	−	15.2648i	0.824843	−	0.565363i
$730$	−0.0132121	−	0.00959917i	−0.000489003	−	0.000355281i
$731$	−6.24566	+	2.02934i	−0.231004	+	0.0750578i
$732$	−9.40802	+	10.3530i	−0.347731	+	0.382659i
$733$	−7.76379	+	10.6859i	−0.286762	+	0.394694i	−0.927959	−	0.372682i	$-0.878438\pi$
$733$	−7.76379	+	10.6859i	−0.286762	+	0.394694i	0.641197	+	0.767376i	$0.278438\pi$
$734$	−13.6048	+	9.88448i	−0.502163	+	0.364843i
$735$	−0.272360	+	0.0565910i	−0.0100461	+	0.00208739i
$736$			2.94363i			0.108503i
$737$	−29.3058	+	10.5098i	−1.07949	+	0.387134i
$738$	−8.37753	+	14.2085i	−0.308381	+	0.523022i
$739$	−16.8990	−	5.49083i	−0.621641	−	0.201983i	−0.0187721	−	0.999824i	$-0.505976\pi$
$739$	−16.8990	−	5.49083i	−0.621641	−	0.201983i	−0.602869	+	0.797840i	$0.705976\pi$
$740$	−0.0584859	−	0.0804989i	−0.00214998	−	0.00295920i
$741$	−67.7855	−	7.43819i	−2.49016	−	0.273249i
$742$	0.801796	+	2.46767i	0.0294349	+	0.0905912i
$743$	6.86362	+	21.1240i	0.251802	+	0.774966i	0.994443	+	0.105277i	$0.0335728\pi$
$743$	6.86362	+	21.1240i	0.251802	+	0.774966i	−0.742641	+	0.669689i	$0.766427\pi$
$744$	14.5165	+	1.59292i	0.532202	+	0.0583993i
$745$	−0.282002	−	0.388143i	−0.0103318	−	0.0142204i
$746$	11.0418	+	3.58770i	0.404269	+	0.131355i
$747$	−21.6538	+	36.7255i	−0.792272	+	1.34371i
$748$	0.272651	+	9.03166i	0.00996911	+	0.330230i
$749$			8.34639i			0.304970i
$750$	−2.71657	+	0.564450i	−0.0991952	+	0.0206108i
$751$	−5.60877	+	4.07501i	−0.204667	+	0.148699i	−0.685397	−	0.728169i	$-0.740371\pi$
$751$	−5.60877	+	4.07501i	−0.204667	+	0.148699i	0.480731	+	0.876868i	$0.340371\pi$
$752$	1.56714	−	2.15699i	0.0571479	−	0.0786573i
$753$	0.864665	−	0.951518i	0.0315101	−	0.0346753i
$754$	40.2826	−	13.0886i	1.46700	−	0.476659i
$755$	−0.0196741	−	0.0142941i	−0.000716013	−	0.000520214i
$756$	−4.24529	+	2.99625i	−0.154400	+	0.108972i
$757$	−10.4463	+	32.1505i	−0.379678	+	1.16853i	0.560590	+	0.828094i	$0.310575\pi$
$757$	−10.4463	+	32.1505i	−0.379678	+	1.16853i	−0.940268	+	0.340436i	$0.889425\pi$
$758$	−16.2733			−0.591073
$759$	−16.8569	−	1.33642i	−0.611868	−	0.0485091i
$760$	0.944974			0.0342778
$761$	−5.92539	+	18.2365i	−0.214795	+	0.661072i	0.784373	+	0.620290i	$0.212985\pi$
$761$	−5.92539	+	18.2365i	−0.214795	+	0.661072i	−0.999168	+	0.0407823i	$0.987015\pi$
$762$	−21.5345	−	9.70605i	−0.780112	−	0.351613i
$763$	0.619267	+	0.449924i	0.0224190	+	0.0162883i
$764$	−24.7626	+	8.04585i	−0.895878	+	0.291088i
$765$	−0.284651	+	1.28142i	−0.0102916	+	0.0463298i
$766$	−8.82714	+	12.1495i	−0.318937	+	0.438980i
$767$	78.1406	−	56.7724i	2.82149	−	2.04993i
$768$	−0.352360	−	1.69583i	−0.0127147	−	0.0611930i
$769$		−	4.54196i		−	0.163787i	−0.996641	−	0.0818936i	$-0.973903\pi$
$769$		−	4.54196i		−	0.163787i	0.996641	−	0.0818936i	$-0.0260968\pi$
$770$	0.511334	+	0.149242i	0.0184272	+	0.00537831i
$771$	−2.55272	−	4.46851i	−0.0919338	−	0.160930i
$772$	2.38681	+	0.775523i	0.0859033	+	0.0279117i
$773$	−9.80576	−	13.4965i	−0.352689	−	0.485434i	0.595405	−	0.803426i	$-0.296992\pi$
$773$	−9.80576	−	13.4965i	−0.352689	−	0.485434i	−0.948094	+	0.317992i	$0.896992\pi$
$774$	2.88073	+	6.63288i	0.103546	+	0.238414i
$775$	12.9601	+	39.8870i	0.465540	+	1.43278i
$776$	3.20306	+	9.85801i	0.114983	+	0.353882i
$777$	0.117048	−	1.06668i	0.00419908	−	0.0382669i
$778$	−1.76075	−	2.42346i	−0.0631259	−	0.0868854i
$779$	30.7667	+	9.99670i	1.10233	+	0.358169i
$780$	1.61625	−	0.923310i	0.0578710	−	0.0330598i
$781$	27.6628	−	21.4027i	0.989853	−	0.765850i
$782$			8.01958i			0.286780i
$783$	31.1388	+	10.5922i	1.11281	+	0.378534i
$784$	0.809017	−	0.587785i	0.0288935	−	0.0209923i
$785$	−0.167917	+	0.231117i	−0.00599320	+	0.00824893i
$786$	9.57828	+	8.70399i	0.341646	+	0.310461i
$787$	20.5616	−	6.68088i	0.732944	−	0.238148i	0.0813176	−	0.996688i	$-0.474087\pi$
$787$	20.5616	−	6.68088i	0.732944	−	0.238148i	0.651626	+	0.758540i	$0.274087\pi$
$788$	−5.78085	−	4.20003i	−0.205934	−	0.149620i
$789$	−1.54086	+	3.41865i	−0.0548560	+	0.121707i
$790$	−0.455201	+	1.40096i	−0.0161953	+	0.0498440i
$791$	10.4041			0.369926
$792$	9.87131	−	1.24791i	0.350762	−	0.0443424i
$793$	54.0439			1.91915
$794$	−2.50679	+	7.71510i	−0.0889626	+	0.273799i
$795$	0.296586	−	0.658025i	0.0105188	−	0.0233378i
$796$	−10.4873	−	7.61950i	−0.371714	−	0.270066i
$797$	−12.1477	+	3.94703i	−0.430294	+	0.139811i	−0.516153	−	0.856496i	$-0.672637\pi$
$797$	−12.1477	+	3.94703i	−0.430294	+	0.139811i	0.0858590	+	0.996307i	$0.472637\pi$
$798$	7.54218	+	6.85373i	0.266990	+	0.242620i
$799$	4.26951	−	5.87648i	0.151044	−	0.207895i
$800$	4.02422	−	2.92376i	0.142278	−	0.103371i
$801$	−33.9404	+	30.0024i	−1.19922	+	1.06008i
$802$		−	32.4353i		−	1.14533i
$803$	−0.0944900	+	0.323742i	−0.00333448	+	0.0114246i
$804$	14.1176	−	8.06495i	0.497891	−	0.284429i
$805$	0.449624	+	0.146092i	0.0158472	+	0.00514905i
$806$	−33.1617	−	45.6431i	−1.16807	−	1.60771i
$807$	−0.269876	+	2.45943i	−0.00950009	+	0.0865759i
$808$	3.65609	+	11.2523i	0.128621	+	0.395854i
$809$	−9.22491	−	28.3913i	−0.324330	−	0.998187i	−0.971742	−	0.236046i	$-0.924148\pi$
$809$	−9.22491	−	28.3913i	−0.324330	−	0.998187i	0.647411	−	0.762141i	$-0.275852\pi$
$810$	1.43453	+	0.177367i	0.0504041	+	0.00623203i
$811$	20.0631	+	27.6144i	0.704509	+	0.969674i	0.999898	+	0.0142968i	$0.00455097\pi$
$811$	20.0631	+	27.6144i	0.704509	+	0.969674i	−0.295388	+	0.955377i	$0.595449\pi$
$812$	−6.02007	−	1.95604i	−0.211263	−	0.0686435i
$813$	11.7631	+	20.5912i	0.412550	+	0.722167i
$814$	−1.15707	+	1.69805i	−0.0405552	+	0.0595167i
$815$			2.76105i			0.0967154i
$816$	−0.959966	−	4.62010i	−0.0336055	−	0.161736i
$817$	11.4741	−	8.33645i	0.401430	−	0.291656i
$818$	−14.8712	+	20.4684i	−0.519959	+	0.715662i
$819$	19.5965	+	4.35311i	0.684756	+	0.152110i
$820$	−0.839811	+	0.272871i	−0.0293275	+	0.00952907i
$821$	−21.7460	−	15.7994i	−0.758939	−	0.551402i	0.139645	−	0.990202i	$-0.455404\pi$
$821$	−21.7460	−	15.7994i	−0.758939	−	0.551402i	−0.898585	+	0.438800i	$0.855404\pi$
$822$	6.89356	+	3.10707i	0.240440	+	0.108372i
$823$	−15.5036	+	47.7152i	−0.540422	+	1.66325i	0.191211	+	0.981549i	$0.438758\pi$
$823$	−15.5036	+	47.7152i	−0.540422	+	1.66325i	−0.731633	+	0.681699i	$0.761242\pi$
$824$	1.08956			0.0379567
$825$	14.9162	+	24.3725i	0.519315	+	0.848540i
$826$	−14.4345			−0.502242
$827$	−6.73474	+	20.7274i	−0.234190	+	0.720762i	0.763038	+	0.646354i	$0.223707\pi$
$827$	−6.73474	+	20.7274i	−0.234190	+	0.720762i	−0.997228	+	0.0744087i	$0.976293\pi$
$828$	8.79058	−	0.842693i	0.305494	−	0.0292856i
$829$	−18.6834	−	13.5743i	−0.648900	−	0.471453i	0.213996	−	0.976834i	$-0.431352\pi$
$829$	−18.6834	−	13.5743i	−0.648900	−	0.471453i	−0.862896	+	0.505381i	$0.831352\pi$
$830$	−2.17070	+	0.705304i	−0.0753462	+	0.0244815i
$831$	10.8099	−	11.8957i	0.374991	−	0.412658i
$832$	−3.93309	+	5.41344i	−0.136356	+	0.187677i
$833$	2.20408	−	1.60136i	0.0763667	−	0.0554837i
$834$	35.1238	−	7.29803i	1.21624	−	0.252710i
$835$			3.34318i			0.115695i
$836$	−6.58757	−	18.3689i	−0.227836	−	0.635302i
$837$	0.601195	−	43.8069i	0.0207804	−	1.51419i
$838$	3.75515	+	1.22012i	0.129719	+	0.0421484i
$839$	5.16175	+	7.10453i	0.178203	+	0.245276i	0.888769	−	0.458355i	$-0.151561\pi$
$839$	5.16175	+	7.10453i	0.178203	+	0.245276i	−0.710566	+	0.703630i	$0.751561\pi$
$840$	−0.276517	−	0.0303426i	−0.00954074	−	0.00104692i
$841$	3.42000	+	10.5257i	0.117931	+	0.362954i
$842$	−8.18453	−	25.1894i	−0.282057	−	0.868083i
$843$	22.5146	+	2.47056i	0.775444	+	0.0850905i
$844$	13.5905	+	18.7057i	0.467805	+	0.643878i
$845$	−4.85340	−	1.57697i	−0.166962	−	0.0542493i
$846$	−6.89008	−	4.06248i	−0.236886	−	0.139671i
$847$	−0.663539	−	10.9800i	−0.0227995	−	0.377276i
$848$			2.59467i			0.0891012i
$849$	24.5526	−	5.10155i	0.842645	−	0.175085i
$850$	10.9635	−	7.96547i	0.376046	−	0.273213i
$851$	−1.07195	+	1.47541i	−0.0367459	+	0.0505764i
$852$	−12.2840	+	13.5179i	−0.420842	+	0.463115i
$853$	−1.26560	+	0.411219i	−0.0433334	+	0.0140799i	−0.330603	−	0.943770i	$-0.607252\pi$
$853$	−1.26560	+	0.411219i	−0.0433334	+	0.0140799i	0.287270	+	0.957850i	$0.407252\pi$
$854$	−6.53414	−	4.74733i	−0.223594	−	0.162450i
$855$	−0.270525	−	2.82199i	−0.00925174	−	0.0965099i
$856$	−2.57918	+	7.93789i	−0.0881544	+	0.271311i
$857$	8.79463			0.300419			0.150209	−	0.988654i	$-0.452005\pi$
$857$	8.79463			0.300419			0.150209	+	0.988654i	$0.452005\pi$
$858$	−29.2149	−	24.9810i	−0.997381	−	0.852836i
$859$	−19.7514			−0.673911			−0.336955	−	0.941521i	$-0.609397\pi$
$859$	−19.7514			−0.673911			−0.336955	+	0.941521i	$0.609397\pi$
$860$	−0.119632	+	0.368188i	−0.00407940	+	0.0125551i
$861$	−8.68191	−	3.91312i	−0.295879	−	0.133359i
$862$	−29.8337	−	21.6755i	−1.01614	−	0.738269i
$863$	−22.2608	+	7.23297i	−0.757766	+	0.246213i	−0.662320	−	0.749221i	$-0.730428\pi$
$863$	−22.2608	+	7.23297i	−0.757766	+	0.246213i	−0.0954465	+	0.995435i	$0.530428\pi$
$864$	−4.96340	+	1.53773i	−0.168858	+	0.0523148i
$865$	1.74949	−	2.40797i	0.0594846	−	0.0818735i
$866$	17.7907	−	12.9257i	0.604552	−	0.439233i
$867$	3.37480	+	16.2422i	0.114614	+	0.551613i
$868$			8.43144i			0.286182i
$869$	30.4059	−	0.917906i	1.03145	−	0.0311378i
$870$	0.873428	+	1.52893i	0.0296120	+	0.0518356i
$871$	−59.7382	−	19.4101i	−2.02415	−	0.657687i
$872$	0.449924	+	0.619267i	0.0152363	+	0.0209710i
$873$	28.5221	−	12.3875i	0.965327	−	0.419252i
$874$	−5.35210	−	16.4721i	−0.181038	−	0.557176i
$875$	−0.495018	−	1.52351i	−0.0167347	−	0.0515040i
$876$	0.0192109	−	0.175072i	0.000649075	−	0.00591513i
$877$	16.8980	+	23.2581i	0.570606	+	0.785372i	0.992626	−	0.121215i	$-0.0386789\pi$
$877$	16.8980	+	23.2581i	0.570606	+	0.785372i	−0.422020	+	0.906586i	$0.638679\pi$
$878$	0.939056	+	0.305118i	0.0316916	+	0.0102972i
$879$	12.2067	−	6.97327i	0.411721	−	0.235203i
$880$	0.440189	+	0.299949i	0.0148388	+	0.0101113i
$881$			40.1934i			1.35415i	0.735915	+	0.677074i	$0.236752\pi$
$881$			40.1934i			1.35415i	−0.735915	+	0.677074i	$0.763248\pi$
$882$	−1.98691	−	2.24771i	−0.0669028	−	0.0756842i
$883$	8.15600	−	5.92568i	0.274471	−	0.199415i	−0.442031	−	0.897000i	$-0.645742\pi$
$883$	8.15600	−	5.92568i	0.274471	−	0.199415i	0.716502	+	0.697585i	$0.245742\pi$
$884$	−10.7153	+	14.7483i	−0.360394	+	0.496039i
$885$	2.97167	+	2.70042i	0.0998916	+	0.0907736i
$886$	8.77053	−	2.84972i	0.294652	−	0.0957382i
$887$	43.7299	+	31.7717i	1.46831	+	1.06679i	0.981100	+	0.193501i	$0.0619843\pi$
$887$	43.7299	+	31.7717i	1.46831	+	1.06679i	0.487207	+	0.873286i	$0.338016\pi$
$888$	0.440941	−	0.978302i	0.0147970	−	0.0328297i
$889$	4.21421	−	12.9700i	0.141340	−	0.435000i
$890$	−2.42514			−0.0812910
$891$	−6.55256	−	29.1215i	−0.219519	−	0.975608i
$892$	−7.60643			−0.254682
$893$	−4.84766	+	14.9196i	−0.162221	+	0.499264i
$894$	2.12609	−	4.71709i	0.0711071	−	0.157763i
$895$	−2.37691	−	1.72692i	−0.0794512	−	0.0577247i
$896$	0.951057	−	0.309017i	0.0317726	−	0.0103235i
$897$	−25.2485	−	22.9438i	−0.843022	−	0.766072i
$898$	17.6805	−	24.3351i	0.590005	−	0.812072i
$899$	43.1772	−	31.3701i	1.44004	−	1.04625i
$900$	−9.88331	−	11.1806i	−0.329444	−	0.372685i
$901$			7.06888i			0.235498i
$902$	11.1587	+	14.4225i	0.371543	+	0.480215i
$903$	−3.62523	+	2.07097i	−0.120640	+	0.0689177i
$904$	9.89485	+	3.21503i	0.329098	+	0.106930i
$905$	−0.0676100	−	0.0930572i	−0.00224743	−	0.00309332i
$906$	0.0286067	−	0.260698i	0.000950396	−	0.00866111i
$907$	−3.39484	−	10.4482i	−0.112724	−	0.346928i	0.878742	−	0.477298i	$-0.158384\pi$
$907$	−3.39484	−	10.4482i	−0.112724	−	0.346928i	−0.991465	+	0.130370i	$0.958384\pi$
$908$	7.35862	+	22.6475i	0.244205	+	0.751584i
$909$	32.5562	−	14.1395i	1.07982	−	0.468977i
$910$	0.631676	+	0.869428i	0.0209399	+	0.0288213i
$911$	−3.17983	−	1.03319i	−0.105353	−	0.0342311i	0.255866	−	0.966712i	$-0.417639\pi$
$911$	−3.17983	−	1.03319i	−0.105353	−	0.0342311i	−0.361219	+	0.932481i	$0.617639\pi$
$912$	5.05511	+	8.84895i	0.167392	+	0.293018i
$913$	28.8424	+	37.2785i	0.954544	+	1.23374i
$914$		−	13.6979i		−	0.453085i
$915$	0.457065	+	2.19975i	0.0151101	+	0.0727215i
$916$	11.1501	−	8.10103i	0.368410	−	0.267665i
$917$	−4.39207	+	6.04517i	−0.145039	+	0.199629i
$918$	−13.5222	+	4.18938i	−0.446300	+	0.138270i
$919$	−31.5660	+	10.2564i	−1.04127	+	0.338328i	−0.779235	−	0.626732i	$-0.784392\pi$
$919$	−31.5660	+	10.2564i	−1.04127	+	0.338328i	−0.262030	+	0.965060i	$0.584392\pi$
$920$	0.382473	+	0.277883i	0.0126098	+	0.00916152i
$921$	33.1370	+	14.9355i	1.09190	+	0.492142i
$922$	0.619903	−	1.90787i	0.0204154	−	0.0628322i
$923$	70.5646			2.32266
$924$	1.33783	+	5.58661i	0.0440113	+	0.183786i
$925$	3.08174			0.101327
$926$	6.94788	−	21.3834i	0.228322	−	0.702702i
$927$	−0.311917	−	3.25377i	−0.0102447	−	0.106868i
$928$	−5.12098	−	3.72061i	−0.168104	−	0.122135i
$929$	−26.2935	+	8.54327i	−0.862662	+	0.280296i	−0.706740	−	0.707474i	$-0.749835\pi$
$929$	−26.2935	+	8.54327i	−0.862662	+	0.280296i	−0.155922	+	0.987769i	$0.549835\pi$
$930$	1.57736	−	1.73580i	0.0517236	−	0.0569191i
$931$	−3.45842	+	4.76011i	−0.113345	+	0.156006i
$932$	−0.843104	+	0.612551i	−0.0276168	+	0.0200648i
$933$	−12.8561	+	2.67125i	−0.420890	+	0.0874527i
$934$			15.5570i			0.509041i
$935$	1.19925	+	0.817176i	0.0392195	+	0.0267245i
$936$	17.2922	+	10.1957i	0.565212	+	0.333257i
$937$	18.3228	+	5.95344i	0.598580	+	0.194490i	0.592607	−	0.805492i	$-0.298099\pi$
$937$	18.3228	+	5.95344i	0.598580	+	0.194490i	0.00597291	+	0.999982i	$0.498099\pi$
$938$	5.51758	+	7.59430i	0.180155	+	0.247963i
$939$	1.13286	+	0.124310i	0.0369694	+	0.00405670i
$940$	−0.132322	−	0.407246i	−0.00431588	−	0.0132829i
$941$	12.7583	+	39.2661i	0.415910	+	1.28004i	0.911435	+	0.411445i	$0.134976\pi$
$941$	12.7583	+	39.2661i	0.415910	+	1.28004i	−0.495525	+	0.868594i	$0.665024\pi$
$942$	−3.06250	−	0.336052i	−0.0997816	−	0.0109492i
$943$	9.51297	+	13.0935i	0.309785	+	0.426382i
$944$	−13.7281	−	4.46052i	−0.446811	−	0.145178i
$945$	−0.0114518	+	0.834452i	−0.000372527	+	0.0271447i
$946$	7.99101	−	0.241235i	0.259810	−	0.00784324i
$947$			8.56801i			0.278423i	0.990263	+	0.139211i	$0.0444568\pi$
$947$			8.56801i			0.278423i	−0.990263	+	0.139211i	$0.955543\pi$
$948$	−15.5540	+	3.23182i	−0.505171	+	0.104965i
$949$	−0.550463	+	0.399935i	−0.0178688	+	0.0129824i
$950$	−17.2029	+	23.6778i	−0.558136	+	0.768209i
$951$	−19.9598	+	21.9647i	−0.647240	+	0.712254i
$952$	2.59105	−	0.841882i	0.0839763	−	0.0272856i
$953$	−23.6082	−	17.1523i	−0.764744	−	0.555619i	0.135618	−	0.990761i	$-0.456698\pi$
$953$	−23.6082	−	17.1523i	−0.764744	−	0.555619i	−0.900362	+	0.435142i	$0.856698\pi$
$954$	7.74848	−	0.742794i	0.250866	−	0.0240488i
$955$	−1.29221	+	3.97700i	−0.0418148	+	0.128693i
$956$	21.3316			0.689914
$957$	23.6314	−	27.6366i	0.763894	−	0.893364i
$958$	24.7841			0.800738
$959$	−1.34904	+	4.15192i	−0.0435628	+	0.134072i
$960$	−0.253607	−	0.114306i	−0.00818513	−	0.00368921i
$961$	−32.4328	−	23.5638i	−1.04622	−	0.760124i
$962$	−3.94270	+	1.28106i	−0.127118	+	0.0413031i
$963$	24.4434	+	5.42978i	0.787676	+	0.174972i
$964$	−7.18747	+	9.89270i	−0.231493	+	0.318623i
$965$	0.326085	−	0.236914i	0.0104970	−	0.00762654i
$966$	1.03722	+	4.99189i	0.0333719	+	0.160611i
$967$			32.6733i			1.05070i	0.850886	+	0.525351i	$0.176066\pi$
$967$			32.6733i			1.05070i	−0.850886	+	0.525351i	$0.823934\pi$
$968$	2.76193	−	10.6476i	0.0887719	−	0.342227i
$969$	13.7721	+	24.1080i	0.442423	+	0.774460i
$970$	1.58325	+	0.514429i	0.0508351	+	0.0165173i
$971$	−16.0175	−	22.0462i	−0.514027	−	0.707497i	0.470565	−	0.882365i	$-0.344050\pi$
$971$	−16.0175	−	22.0462i	−0.514027	−	0.707497i	−0.984592	+	0.174868i	$0.944050\pi$
$972$	6.01306	+	14.3820i	0.192869	+	0.461304i
$973$	6.40031	+	19.6981i	0.205185	+	0.631493i
$974$	7.22107	+	22.2242i	0.231378	+	0.712108i
$975$	−6.28828	+	57.3061i	−0.201386	+	1.83526i
$976$	−4.74733	−	6.53414i	−0.151958	−	0.209153i
$977$	34.2685	+	11.1345i	1.09635	+	0.356224i	0.800695	−	0.599072i	$-0.204464\pi$
$977$	34.2685	+	11.1345i	1.09635	+	0.356224i	0.295651	+	0.955296i	$0.404464\pi$
$978$	−25.8551	+	14.7702i	−0.826755	+	0.472298i
$979$	16.9061	+	47.1413i	0.540320	+	1.50664i
$980$		−	0.160605i		−	0.00513035i
$981$	1.72052	−	1.52089i	0.0549319	−	0.0485584i
$982$	11.4997	−	8.35505i	0.366971	−	0.266620i
$983$	−28.8851	+	39.7569i	−0.921292	+	1.26805i	0.0418690	+	0.999123i	$0.486669\pi$
$983$	−28.8851	+	39.7569i	−0.921292	+	1.26805i	−0.963161	+	0.268926i	$0.913331\pi$
$984$	−7.04777	−	6.40446i	−0.224675	−	0.204167i
$985$	−1.09144	+	0.354631i	−0.0347762	+	0.0112995i
$986$	−13.9515	−	10.1364i	−0.444307	−	0.322808i
$987$	1.89758	−	4.21009i	0.0604005	−	0.134009i
$988$	12.1663	−	37.4439i	0.387061	−	1.19125i
$989$	7.09554			0.225625
$990$	0.769723	−	1.40041i	0.0244634	−	0.0445079i
$991$	14.6512			0.465409			0.232705	−	0.972547i	$-0.425242\pi$
$991$	14.6512			0.465409			0.232705	+	0.972547i	$0.425242\pi$
$992$	−2.60546	+	8.01878i	−0.0827234	+	0.254596i
$993$	−8.26500	+	18.3373i	−0.262282	+	0.581916i
$994$	−8.53157	−	6.19855i	−0.270605	−	0.196606i
$995$	−1.98004	+	0.643355i	−0.0627716	+	0.0203957i
$996$	−18.2167	−	16.5539i	−0.577220	−	0.524532i
$997$	28.5607	−	39.3105i	0.904528	−	1.24498i	−0.0644734	−	0.997919i	$-0.520537\pi$
$997$	28.5607	−	39.3105i	0.904528	−	1.24498i	0.969001	−	0.247056i	$-0.0794632\pi$
$998$	−31.5546	+	22.9258i	−0.998843	+	0.725702i
$999$	−3.04774	−	1.03672i	−0.0964264	−	0.0328004i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.b.365.7	yes	48
3.2	odd	2		462.2.w.a.365.1	yes	48
11.6	odd	10		462.2.w.a.281.1	✓	48
33.17	even	10	inner	462.2.w.b.281.7	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.1	✓	48	11.6	odd	10
462.2.w.a.365.1	yes	48	3.2	odd	2
462.2.w.b.281.7	yes	48	33.17	even	10	inner
462.2.w.b.365.7	yes	48	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 + 0.951057i) q^{2} +(-0.711719 + 1.57907i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.152745 + 0.0496298i) q^{5} +(-1.28185 - 1.16484i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.98691 - 2.24771i) q^{9} +O(q^{10})\)	\(q+(-0.309017 + 0.951057i) q^{2} +(-0.711719 + 1.57907i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.152745 + 0.0496298i) q^{5} +(-1.28185 - 1.16484i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.98691 - 2.24771i) q^{9} -0.160605i q^{10} +(-3.12194 + 1.11961i) q^{11} +(1.50395 - 0.859155i) q^{12} +(-6.36388 - 2.06775i) q^{13} +(0.587785 + 0.809017i) q^{14} +(0.0303426 - 0.276517i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.841882 + 2.59105i) q^{17} +(2.75168 - 1.19509i) q^{18} +(-3.45842 - 4.76011i) q^{19} +(0.152745 + 0.0496298i) q^{20} +(0.859155 + 1.50395i) q^{21} +(-0.100078 - 3.31511i) q^{22} -2.94363i q^{23} +(0.352360 + 1.69583i) q^{24} +(-4.02422 + 2.92376i) q^{25} +(3.93309 - 5.41344i) q^{26} +(4.96340 - 1.53773i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(5.12098 + 3.72061i) q^{29} +(0.253607 + 0.114306i) q^{30} +(2.60546 - 8.01878i) q^{31} -1.00000 q^{32} +(0.454006 - 5.72659i) q^{33} -2.72439 q^{34} +(-0.0496298 + 0.152745i) q^{35} +(0.286277 + 2.98631i) q^{36} +(-0.501222 - 0.364159i) q^{37} +(5.59585 - 1.81820i) q^{38} +(7.79441 - 8.57734i) q^{39} +(-0.0944015 + 0.129933i) q^{40} +(-4.44808 + 3.23172i) q^{41} +(-1.69583 + 0.352360i) q^{42} +2.41048i q^{43} +(3.18379 + 0.929247i) q^{44} +(0.415044 + 0.244715i) q^{45} +(2.79955 + 0.909630i) q^{46} +(-1.56714 - 2.15699i) q^{47} +(-1.72172 - 0.188926i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(-1.53711 - 4.73075i) q^{50} +(-4.69062 - 0.514708i) q^{51} +(3.93309 + 5.41344i) q^{52} +(2.46767 + 0.801796i) q^{53} +(-0.0713040 + 5.19566i) q^{54} +(0.421294 - 0.325955i) q^{55} -1.00000i q^{56} +(9.97797 - 2.07322i) q^{57} +(-5.12098 + 3.72061i) q^{58} +(-8.48442 + 11.6778i) q^{59} +(-0.187080 + 0.205872i) q^{60} +(-7.68134 + 2.49582i) q^{61} +(6.82118 + 4.95588i) q^{62} +(-2.98631 + 0.286277i) q^{63} +(0.309017 - 0.951057i) q^{64} +1.07467 q^{65} +(5.30602 + 2.20140i) q^{66} +9.38707 q^{67} +(0.841882 - 2.59105i) q^{68} +(4.64819 + 2.09503i) q^{69} +(-0.129933 - 0.0944015i) q^{70} +(-10.0295 + 3.25877i) q^{71} +(-2.92861 - 0.650555i) q^{72} +(0.0597686 - 0.0822645i) q^{73} +(0.501222 - 0.364159i) q^{74} +(-1.75271 - 8.43541i) q^{75} +5.88382i q^{76} +(-0.929247 + 3.18379i) q^{77} +(5.74893 + 10.0635i) q^{78} +(-8.72301 - 2.83428i) q^{79} +(-0.0944015 - 0.129933i) q^{80} +(-1.10436 + 8.93199i) q^{81} +(-1.69901 - 5.22903i) q^{82} +(-4.39153 - 13.5157i) q^{83} +(0.188926 - 1.72172i) q^{84} +(-0.257186 - 0.353987i) q^{85} +(-2.29250 - 0.744879i) q^{86} +(-9.51979 + 5.43834i) q^{87} +(-1.86761 + 2.74081i) q^{88} -15.1000i q^{89} +(-0.360994 + 0.319109i) q^{90} +(-5.41344 + 3.93309i) q^{91} +(-1.73022 + 2.38144i) q^{92} +(10.8078 + 9.82131i) q^{93} +(2.53569 - 0.823897i) q^{94} +(0.764500 + 0.555442i) q^{95} +(0.711719 - 1.57907i) q^{96} +(-3.20306 + 9.85801i) q^{97} +1.00000 q^{98} +(8.71956 + 4.79263i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

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