LMFDB - Embedded newform 462.2.w.a.281.1

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			281.1
Character	$\chi$	$=$	462.281
Dual form			462.2.w.a.365.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(-1.72172 - 0.188926i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.152745 + 0.0496298i) q^{5} +(-0.352360 - 1.69583i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.92861 + 0.650555i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(-1.72172 - 0.188926i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.152745 + 0.0496298i) q^{5} +(-0.352360 - 1.69583i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.92861 + 0.650555i) 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} +(-0.253607 - 0.114306i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.841882 + 2.59105i) q^{17} +(0.286277 + 2.98631i) 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} +(1.28185 + 1.16484i) q^{24} +(-4.02422 - 2.92376i) q^{25} +(-3.93309 - 5.41344i) q^{26} +(-4.91934 - 1.67336i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(-5.12098 + 3.72061i) q^{29} +(0.0303426 - 0.276517i) q^{30} +(2.60546 + 8.01878i) q^{31} +1.00000 q^{32} +(-5.16356 - 2.51746i) q^{33} -2.72439 q^{34} +(0.0496298 + 0.152745i) q^{35} +(-2.75168 + 1.19509i) q^{36} +(-0.501222 + 0.364159i) q^{37} +(-5.59585 - 1.81820i) q^{38} +(11.3474 - 2.35778i) q^{39} +(-0.0944015 - 0.129933i) q^{40} +(4.44808 + 3.23172i) q^{41} +(1.16484 - 1.28185i) 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} +(-0.711719 + 1.57907i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(1.53711 - 4.73075i) q^{50} +(1.93900 - 4.30199i) 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} +(6.85373 - 7.54218i) q^{57} +(-5.12098 - 3.72061i) q^{58} +(8.48442 + 11.6778i) q^{59} +(0.272360 - 0.0565910i) q^{60} +(-7.68134 - 2.49582i) q^{61} +(-6.82118 + 4.95588i) q^{62} +(1.19509 + 2.75168i) q^{63} +(0.309017 + 0.951057i) q^{64} -1.07467 q^{65} +(0.798618 - 5.68878i) q^{66} +9.38707 q^{67} +(-0.841882 - 2.59105i) q^{68} +(-0.556128 + 5.06809i) q^{69} +(-0.129933 + 0.0944015i) q^{70} +(10.0295 + 3.25877i) q^{71} +(-1.98691 - 2.24771i) q^{72} +(0.0597686 + 0.0822645i) q^{73} +(-0.501222 - 0.364159i) q^{74} +(6.37618 + 5.79417i) 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} +(8.15356 + 3.81045i) q^{81} +(-1.69901 + 5.22903i) q^{82} +(4.39153 - 13.5157i) q^{83} +(1.57907 + 0.711719i) 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} +(-0.104483 + 0.470351i) q^{90} +(-5.41344 - 3.93309i) q^{91} +(1.73022 + 2.38144i) q^{92} +(-2.97090 - 14.2983i) q^{93} +(2.53569 + 0.823897i) q^{94} +(-0.764500 + 0.555442i) q^{95} +(-1.72172 - 0.188926i) q^{96} +(-3.20306 - 9.85801i) q^{97} -1.00000 q^{98} +(8.41458 + 5.30988i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{9}{10}\right)$

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
$3$	−1.72172	−	0.188926i	−0.994033	−	0.109077i
$3$	−1.72172	−	0.188926i	−0.994033	−	0.109077i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	0.152745	+	0.0496298i	0.0683096	+	0.0221951i	0.342972	−	0.939345i	$-0.388566\pi$
$5$	0.152745	+	0.0496298i	0.0683096	+	0.0221951i	−0.274663	+	0.961541i	$0.588566\pi$
$6$	−0.352360	−	1.69583i	−0.143850	−	0.692320i
$7$	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
$9$	2.92861	+	0.650555i	0.976205	+	0.216852i
$10$			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	−0.997701	−	0.0677714i	$-0.978411\pi$
$13$	−6.36388	+	2.06775i	−1.76502	+	0.573491i	−0.767322	+	0.641262i	$0.778411\pi$
$14$	−0.587785	+	0.809017i	−0.157092	+	0.216219i
$15$	−0.253607	−	0.114306i	−0.0654810	−	0.0295137i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−0.841882	+	2.59105i	−0.204186	+	0.628421i	0.795559	+	0.605876i	$0.207177\pi$
$17$	−0.841882	+	2.59105i	−0.204186	+	0.628421i	−0.999746	+	0.0225456i	$0.992823\pi$
$18$	0.286277	+	2.98631i	0.0674762	+	0.703880i
$19$	−3.45842	+	4.76011i	−0.793417	+	1.09204i	0.200257	+	0.979743i	$0.435822\pi$
$19$	−3.45842	+	4.76011i	−0.793417	+	1.09204i	−0.993674	+	0.112301i	$0.964178\pi$
$20$	−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	$-0.0992898\pi$
$24$	1.28185	+	1.16484i	0.261656	+	0.237773i
$25$	−4.02422	−	2.92376i	−0.804843	−	0.584753i
$26$	−3.93309	−	5.41344i	−0.771343	−	1.06166i
$27$	−4.91934	−	1.67336i	−0.946726	−	0.322039i
$28$	−0.951057	−	0.309017i	−0.179733	−	0.0583987i
$29$	−5.12098	+	3.72061i	−0.950942	+	0.690900i	−0.951029	−	0.309100i	$-0.899972\pi$
$29$	−5.12098	+	3.72061i	−0.950942	+	0.690900i	8.76975e−5		1.00000i	$0.499972\pi$
$30$	0.0303426	−	0.276517i	0.00553977	−	0.0504849i
$31$	2.60546	+	8.01878i	0.467954	+	1.44021i	0.855229	+	0.518250i	$0.173416\pi$
$31$	2.60546	+	8.01878i	0.467954	+	1.44021i	−0.387275	+	0.921964i	$0.626584\pi$
$32$	1.00000			0.176777
$33$	−5.16356	−	2.51746i	−0.898861	−	0.438234i
$34$	−2.72439			−0.467229
$35$	0.0496298	+	0.152745i	0.00838897	+	0.0258186i
$36$	−2.75168	+	1.19509i	−0.458614	+	0.199181i
$37$	−0.501222	+	0.364159i	−0.0824003	+	0.0598673i	−0.628223	−	0.778034i	$-0.716217\pi$
$37$	−0.501222	+	0.364159i	−0.0824003	+	0.0598673i	0.545822	+	0.837901i	$0.316217\pi$
$38$	−5.59585	−	1.81820i	−0.907766	−	0.294951i
$39$	11.3474	−	2.35778i	1.81705	−	0.377546i
$40$	−0.0944015	−	0.129933i	−0.0149262	−	0.0205441i
$41$	4.44808	+	3.23172i	0.694673	+	0.504709i	0.878193	−	0.478307i	$-0.158749\pi$
$41$	4.44808	+	3.23172i	0.694673	+	0.504709i	−0.183520	+	0.983016i	$0.558749\pi$
$42$	1.16484	−	1.28185i	0.179739	−	0.197794i
$43$		−	2.41048i		−	0.367594i	−0.982964	−	0.183797i	$-0.941161\pi$
$43$		−	2.41048i		−	0.367594i	0.982964	−	0.183797i	$-0.0588390\pi$
$44$	−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	$-0.737707\pi$
$47$	1.56714	−	2.15699i	0.228592	−	0.314629i	0.907870	+	0.419251i	$0.137707\pi$
$48$	−0.711719	+	1.57907i	−0.102728	+	0.227919i
$49$	−0.309017	+	0.951057i	−0.0441453	+	0.135865i
$50$	1.53711	−	4.73075i	0.217381	−	0.669029i
$51$	1.93900	−	4.30199i	0.271514	−	0.602400i
$52$	3.93309	−	5.41344i	0.545422	−	0.750709i
$53$	−2.46767	+	0.801796i	−0.338961	+	0.110135i	−0.473551	−	0.880766i	$-0.657028\pi$
$53$	−2.46767	+	0.801796i	−0.338961	+	0.110135i	0.134590	+	0.990901i	$0.457028\pi$
$54$	0.0713040	−	5.19566i	0.00970325	−	0.707040i
$55$	0.421294	+	0.325955i	0.0568072	+	0.0439518i
$56$		−	1.00000i		−	0.133631i
$57$	6.85373	−	7.54218i	0.907799	−	0.998986i
$58$	−5.12098	−	3.72061i	−0.672417	−	0.488540i
$59$	8.48442	+	11.6778i	1.10458	+	1.52032i	0.829174	+	0.558991i	$0.188811\pi$
$59$	8.48442	+	11.6778i	1.10458	+	1.52032i	0.275403	+	0.961329i	$0.411189\pi$
$60$	0.272360	−	0.0565910i	0.0351615	−	0.00730586i
$61$	−7.68134	−	2.49582i	−0.983495	−	0.319557i	−0.227243	−	0.973838i	$-0.572971\pi$
$61$	−7.68134	−	2.49582i	−0.983495	−	0.319557i	−0.756251	+	0.654281i	$0.772971\pi$
$62$	−6.82118	+	4.95588i	−0.866291	+	0.629397i
$63$	1.19509	+	2.75168i	0.150567	+	0.346680i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−1.07467			−0.133297
$66$	0.798618	−	5.68878i	0.0983030	−	0.700240i
$67$	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
$69$	−0.556128	+	5.06809i	−0.0669499	+	0.610126i
$70$	−0.129933	+	0.0944015i	−0.0155299	+	0.0112831i
$71$	10.0295	+	3.25877i	1.19028	+	0.386745i	0.836176	−	0.548462i	$-0.184786\pi$
$71$	10.0295	+	3.25877i	1.19028	+	0.386745i	0.354103	+	0.935207i	$0.384786\pi$
$72$	−1.98691	−	2.24771i	−0.234160	−	0.264895i
$73$	0.0597686	+	0.0822645i	0.00699539	+	0.00962833i	0.812500	−	0.582961i	$-0.198106\pi$
$73$	0.0597686	+	0.0822645i	0.00699539	+	0.00962833i	−0.805505	+	0.592589i	$0.798106\pi$
$74$	−0.501222	−	0.364159i	−0.0582658	−	0.0423326i
$75$	6.37618	+	5.79417i	0.736258	+	0.669054i
$76$		−	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	−0.755415	−	0.655246i	$-0.772565\pi$
$79$	−8.72301	+	2.83428i	−0.981415	+	0.318881i	−0.226000	+	0.974127i	$0.572565\pi$
$80$	0.0944015	−	0.129933i	0.0105544	−	0.0145269i
$81$	8.15356	+	3.81045i	0.905951	+	0.423383i
$82$	−1.69901	+	5.22903i	−0.187625	+	0.577450i
$83$	4.39153	−	13.5157i	0.482033	−	1.48355i	−0.354199	−	0.935170i	$-0.615246\pi$
$83$	4.39153	−	13.5157i	0.482033	−	1.48355i	0.836232	−	0.548376i	$-0.184754\pi$
$84$	1.57907	+	0.711719i	0.172290	+	0.0776549i
$85$	−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	$-0.295326\pi$
$90$	−0.104483	+	0.470351i	−0.0110134	+	0.0495794i
$91$	−5.41344	−	3.93309i	−0.567483	−	0.412300i
$92$	1.73022	+	2.38144i	0.180388	+	0.248283i
$93$	−2.97090	−	14.2983i	−0.308068	−	1.48266i
$94$	2.53569	+	0.823897i	0.261537	+	0.0849785i
$95$	−0.764500	+	0.555442i	−0.0784361	+	0.0569871i
$96$	−1.72172	−	0.188926i	−0.175722	−	0.0192822i
$97$	−3.20306	−	9.85801i	−0.325222	−	1.00093i	−0.971341	−	0.237692i	$-0.923609\pi$
$97$	−3.20306	−	9.85801i	−0.325222	−	1.00093i	0.646119	−	0.763237i	$-0.276391\pi$
$98$	−1.00000			−0.101015
$99$	8.41458	+	5.30988i	0.845697	+	0.533663i
$100$	4.97421			0.497421
$101$	3.65609	+	11.2523i	0.363795	+	1.11964i	0.950732	+	0.310013i	$0.100333\pi$
$101$	3.65609	+	11.2523i	0.363795	+	1.11964i	−0.586938	+	0.809632i	$0.699667\pi$
$102$	4.69062	+	0.514708i	0.464441	+	0.0509637i
$103$	0.881475	−	0.640429i	0.0868543	−	0.0631033i	−0.543511	−	0.839402i	$-0.682905\pi$
$103$	0.881475	−	0.640429i	0.0868543	−	0.0631033i	0.630365	+	0.776299i	$0.282905\pi$
$104$	6.36388	+	2.06775i	0.624030	+	0.202760i
$105$	−0.0565910	−	0.272360i	−0.00552271	−	0.0265796i
$106$	−1.52511	−	2.09913i	−0.148131	−	0.203885i
$107$	6.75237	+	4.90589i	0.652776	+	0.474270i	0.864216	−	0.503121i	$-0.167815\pi$
$107$	6.75237	+	4.90589i	0.652776	+	0.474270i	−0.211439	+	0.977391i	$0.567815\pi$
$108$	4.96340	−	1.53773i	0.477604	−	0.147969i
$109$		−	0.765456i		−	0.0733174i	−0.999328	−	0.0366587i	$-0.988329\pi$
$109$		−	0.765456i		−	0.0733174i	0.999328	−	0.0366587i	$-0.0116714\pi$
$110$	−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	$-0.962772\pi$
$113$	−6.11535	+	8.41706i	−0.575284	+	0.791810i	0.417885	+	0.908500i	$0.362772\pi$
$114$	9.29096	+	4.18763i	0.870178	+	0.392207i
$115$	0.146092	−	0.449624i	0.0136231	−	0.0419276i
$116$	1.95604	−	6.02007i	0.181614	−	0.558950i
$117$	−19.9825	+	1.91559i	−1.84739	+	0.177096i
$118$	−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
$123$	−7.04777	−	6.40446i	−0.635476	−	0.577471i
$124$	−6.82118	−	4.95588i	−0.612560	−	0.445051i
$125$	−0.941580	−	1.29597i	−0.0842175	−	0.115915i
$126$	−2.24771	+	1.98691i	−0.200242	+	0.177008i
$127$	12.9700	+	4.21421i	1.15090	+	0.373951i	0.821483	−	0.570233i	$-0.193147\pi$
$127$	12.9700	+	4.21421i	1.15090	+	0.373951i	0.329419	+	0.944184i	$0.393147\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	−0.455402	+	4.15016i	−0.0400959	+	0.365401i
$130$	−0.332092	−	1.02207i	−0.0291264	−	0.0896418i
$131$	7.47224			0.652852			0.326426	−	0.945223i	$-0.394156\pi$
$131$	7.47224			0.652852			0.326426	+	0.945223i	$0.394156\pi$
$132$	5.65714	−	0.998399i	0.492391	−	0.0868995i
$133$	−5.88382			−0.510192
$134$	2.90076	+	8.92763i	0.250588	+	0.771230i
$135$	−0.668355	−	0.499743i	−0.0575228	−	0.0430111i
$136$	2.20408	−	1.60136i	0.188998	−	0.137315i
$137$	4.15192	+	1.34904i	0.354722	+	0.115256i	0.480957	−	0.876744i	$-0.340289\pi$
$137$	4.15192	+	1.34904i	0.354722	+	0.115256i	−0.126235	+	0.992000i	$0.540289\pi$
$138$	−4.99189	+	1.03722i	−0.424938	+	0.0882937i
$139$	−12.1741	−	16.7562i	−1.03260	−	1.42125i	−0.902981	−	0.429681i	$-0.858626\pi$
$139$	−12.1741	−	16.7562i	−1.03260	−	1.42125i	−0.129615	−	0.991564i	$-0.541374\pi$
$140$	−0.129933	−	0.0944015i	−0.0109813	−	0.00797839i
$141$	−3.10569	+	3.41765i	−0.261546	+	0.287818i
$142$			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
$147$	0.711719	−	1.57907i	0.0587016	−	0.130239i
$148$	0.191450	−	0.589221i	0.0157371	−	0.0484337i
$149$	−0.923115	+	2.84105i	−0.0756245	+	0.232748i	−0.981722	−	0.190321i	$-0.939047\pi$
$149$	−0.923115	+	2.84105i	−0.0756245	+	0.232748i	0.906097	+	0.423069i	$0.139047\pi$
$150$	−3.54024	+	7.85461i	−0.289059	+	0.641326i
$151$	0.0890010	−	0.122499i	0.00724280	−	0.00996886i	−0.805380	−	0.592759i	$-0.798039\pi$
$151$	0.0890010	−	0.122499i	0.00724280	−	0.00996886i	0.812623	+	0.582790i	$0.198039\pi$
$152$	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
$156$	−7.79441	+	8.57734i	−0.624052	+	0.686737i
$157$	1.43904	+	1.04552i	0.114848	+	0.0834417i	0.643727	−	0.765256i	$-0.277387\pi$
$157$	1.43904	+	1.04552i	0.114848	+	0.0834417i	−0.528879	+	0.848697i	$0.677387\pi$
$158$	−5.39112	−	7.42024i	−0.428894	−	0.590322i
$159$	4.40012	−	0.914257i	0.348952	−	0.0725053i
$160$	0.152745	+	0.0496298i	0.0120755	+	0.00392358i
$161$	2.38144	−	1.73022i	0.187684	−	0.136360i
$162$	−1.10436	+	8.93199i	−0.0867669	+	0.701763i
$163$	5.31247	+	16.3501i	0.416105	+	1.28064i	0.911259	+	0.411833i	$0.135111\pi$
$163$	5.31247	+	16.3501i	0.416105	+	1.28064i	−0.495154	+	0.868805i	$0.664889\pi$
$164$	−5.49813			−0.429331
$165$	−0.663767	−	0.640796i	−0.0516742	−	0.0498859i
$166$	14.2113			1.10301
$167$	−6.43253	−	19.7973i	−0.497764	−	1.53196i	−0.812605	−	0.582815i	$-0.801951\pi$
$167$	−6.43253	−	19.7973i	−0.497764	−	1.53196i	0.314841	−	0.949145i	$-0.398049\pi$
$168$	−0.188926	+	1.72172i	−0.0145760	+	0.132833i
$169$	25.7062	−	18.6766i	1.97740	−	1.43666i
$170$	−0.416136	−	0.135211i	−0.0319162	−	0.0103702i
$171$	−13.2251	+	11.6906i	−1.01135	+	0.894005i
$172$	1.41684	+	1.95012i	0.108033	+	0.148695i
$173$	14.9931	+	10.8931i	1.13990	+	0.828188i	0.987106	−	0.160069i	$-0.0511718\pi$
$173$	14.9931	+	10.8931i	1.13990	+	0.828188i	0.152797	+	0.988258i	$0.451172\pi$
$174$	8.11395	+	7.37332i	0.615117	+	0.558970i
$175$		−	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	0.188581	+	0.982058i	$0.439611\pi$
$179$	−10.7526	+	14.7997i	−0.803686	+	1.10618i	−0.992267	+	0.124121i	$0.960389\pi$
$180$	−0.479618	+	0.0459777i	−0.0357486	+	0.00342697i
$181$	0.221317	−	0.681143i	0.0164503	−	0.0506289i	−0.942494	−	0.334222i	$-0.891526\pi$
$181$	0.221317	−	0.681143i	0.0164503	−	0.0506289i	0.958945	+	0.283593i	$0.0915265\pi$
$182$	2.06775	−	6.36388i	0.153272	−	0.471722i
$183$	12.7536	+	5.74830i	0.942770	+	0.424926i
$184$	−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
$189$	−1.53773	−	4.96340i	−0.111854	−	0.361034i
$190$	−0.764500	−	0.555442i	−0.0554627	−	0.0402960i
$191$	−15.3041	−	21.0643i	−1.10737	−	1.52416i	−0.825240	−	0.564782i	$-0.808960\pi$
$191$	−15.3041	−	21.0643i	−1.10737	−	1.52416i	−0.282126	−	0.959377i	$-0.591040\pi$
$192$	−0.352360	−	1.69583i	−0.0254294	−	0.122386i
$193$	−2.38681	−	0.775523i	−0.171807	−	0.0558234i	0.221851	−	0.975081i	$-0.428790\pi$
$193$	−2.38681	−	0.775523i	−0.171807	−	0.0558234i	−0.393657	+	0.919257i	$0.628790\pi$
$194$	8.38572	−	6.09258i	0.602060	−	0.437422i
$195$	1.85028	+	0.203034i	0.132501	+	0.0145395i
$196$	−0.309017	−	0.951057i	−0.0220726	−	0.0679326i
$197$	−7.14552			−0.509097			−0.254549	−	0.967060i	$-0.581927\pi$
$197$	−7.14552			−0.509097			−0.254549	+	0.967060i	$0.581927\pi$
$198$	−2.44975	+	9.64358i	−0.174096	+	0.685340i
$199$	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
$201$	−16.1619	−	1.77346i	−1.13997	−	0.125090i
$202$	−9.57177	+	6.95430i	−0.673467	+	0.489303i
$203$	−6.02007	−	1.95604i	−0.422526	−	0.137287i
$204$	0.959966	+	4.62010i	0.0672110	+	0.323472i
$205$	0.519031	+	0.714386i	0.0362507	+	0.0498948i
$206$	0.881475	+	0.640429i	0.0614153	+	0.0446208i
$207$	1.91499	−	8.62074i	0.133101	−	0.599183i
$208$			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	−0.944021	−	0.329885i	$-0.892990\pi$
$211$	−21.9899	+	7.14496i	−1.51385	+	0.491879i	−0.569828	+	0.821764i	$0.692990\pi$
$212$	1.52511	−	2.09913i	0.104745	−	0.144169i
$213$	−16.6522	−	7.50551i	−1.14099	−	0.514269i
$214$	−2.57918	+	7.93789i	−0.176309	+	0.542623i
$215$	0.119632	−	0.368188i	0.00815881	−	0.0251102i
$216$	2.99625	+	4.24529i	0.203869	+	0.288855i
$217$	−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
$222$	0.794162	+	0.721672i	0.0533007	+	0.0484355i
$223$	6.15373	+	4.47095i	0.412084	+	0.299397i	0.774445	−	0.632641i	$-0.218029\pi$
$223$	6.15373	+	4.47095i	0.412084	+	0.299397i	−0.362361	+	0.932038i	$0.618029\pi$
$224$	0.587785	+	0.809017i	0.0392731	+	0.0540547i
$225$	−9.88331	−	11.1806i	−0.658887	−	0.745370i
$226$	−9.89485	−	3.21503i	−0.658195	−	0.213861i
$227$	19.2651	−	13.9969i	1.27867	−	0.929009i	0.279160	−	0.960245i	$-0.409944\pi$
$227$	19.2651	−	13.9969i	1.27867	−	0.929009i	0.999512	+	0.0312354i	$0.00994417\pi$
$228$	−1.11161	+	10.1303i	−0.0736181	+	0.670894i
$229$	−4.25896	−	13.1077i	−0.281440	−	0.866184i	−0.987443	−	0.157975i	$-0.949504\pi$
$229$	−4.25896	−	13.1077i	−0.281440	−	0.866184i	0.706003	−	0.708209i	$-0.250496\pi$
$230$	0.472762			0.0311730
$231$	−0.998399	−	5.65714i	−0.0656898	−	0.372212i
$232$	6.32988			0.415577
$233$	−0.322037	−	0.991129i	−0.0210974	−	0.0649310i	0.939954	−	0.341302i	$-0.110868\pi$
$233$	−0.322037	−	0.991129i	−0.0210974	−	0.0649310i	−0.961051	+	0.276371i	$0.910868\pi$
$234$	−7.99678	−	18.4126i	−0.522766	−	1.20367i
$235$	0.346424	−	0.251692i	0.0225982	−	0.0164186i
$236$	−13.7281	−	4.46052i	−0.893621	−	0.290355i
$237$	15.5540	−	3.23182i	1.01034	−	0.209929i
$238$	−1.60136	−	2.20408i	−0.103800	−	0.142869i
$239$	17.2577	+	12.5384i	1.11630	+	0.811043i	0.983645	−	0.180119i	$-0.0576481\pi$
$239$	17.2577	+	12.5384i	1.11630	+	0.811043i	0.132660	+	0.991162i	$0.457648\pi$
$240$	−0.187080	+	0.205872i	−0.0120760	+	0.0132890i
$241$			12.2281i			0.787678i	0.919179	+	0.393839i	$0.128853\pi$
$241$			12.2281i			0.787678i	−0.919179	+	0.393839i	$0.871147\pi$
$242$	−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
$246$	3.91312	−	8.68191i	0.249491	−	0.553539i
$247$	12.1663	−	37.4439i	0.774121	−	2.38250i
$248$	2.60546	−	8.01878i	0.165447	−	0.509193i
$249$	−10.1145	+	22.4406i	−0.640977	+	1.42212i
$250$	0.941580	−	1.29597i	0.0595508	−	0.0819646i
$251$	0.705970	−	0.229384i	0.0445604	−	0.0144786i	−0.286652	−	0.958035i	$-0.592542\pi$
$251$	0.705970	−	0.229384i	0.0445604	−	0.0144786i	0.331212	+	0.943556i	$0.392542\pi$
$252$	−2.58424	−	1.52371i	−0.162792	−	0.0959844i
$253$	3.29570	−	9.18981i	0.207199	−	0.577758i
$254$			13.6375i			0.855691i
$255$	0.509679	−	0.560875i	0.0319174	−	0.0351234i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	1.74642	+	2.40375i	0.108939	+	0.149942i	0.860005	−	0.510285i	$-0.170460\pi$
$257$	1.74642	+	2.40375i	0.108939	+	0.149942i	−0.751066	+	0.660227i	$0.770460\pi$
$258$	−4.08776	+	0.849356i	−0.254493	+	0.0528786i
$259$	−0.589221	−	0.191450i	−0.0366124	−	0.0118961i
$260$	0.869428	−	0.631676i	0.0539196	−	0.0391749i
$261$	−17.4178	+	7.56475i	−1.07814	+	0.468246i
$262$	2.30905	+	7.10652i	0.142653	+	0.439042i
$263$	−2.16498			−0.133499			−0.0667493	−	0.997770i	$-0.521263\pi$
$263$	−2.16498			−0.133499			−0.0667493	+	0.997770i	$0.521263\pi$
$264$	2.69769	+	5.07173i	0.166031	+	0.312144i
$265$	−0.416718			−0.0255988
$266$	−1.81820	−	5.59585i	−0.111481	−	0.343103i
$267$	−2.85279	+	25.9979i	−0.174588	+	1.59105i
$268$	−7.59430	+	5.51758i	−0.463896	+	0.337040i
$269$	−1.35856	−	0.441423i	−0.0828328	−	0.0269140i	0.267307	−	0.963611i	$-0.413866\pi$
$269$	−1.35856	−	0.441423i	−0.0828328	−	0.0269140i	−0.350140	+	0.936697i	$0.613866\pi$
$270$	0.268751	−	0.790072i	0.0163557	−	0.0480823i
$271$	8.04765	+	11.0766i	0.488860	+	0.672858i	0.980177	−	0.198123i	$-0.0634844\pi$
$271$	8.04765	+	11.0766i	0.488860	+	0.672858i	−0.491317	+	0.870981i	$0.663484\pi$
$272$	2.20408	+	1.60136i	0.133642	+	0.0970964i
$273$	8.57734	+	7.79441i	0.519124	+	0.471739i
$274$			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	−0.561914	−	0.827196i	$-0.689935\pi$
$277$	−8.82592	+	2.86771i	−0.530298	+	0.172304i	0.0316157	+	0.999500i	$0.489935\pi$
$278$	12.1741	−	16.7562i	0.730155	−	1.00497i
$279$	2.41373	+	25.1789i	0.144506	+	1.50742i
$280$	0.0496298	−	0.152745i	0.00296595	−	0.00912825i
$281$	4.04096	−	12.4368i	0.241064	−	0.741918i	−0.755195	−	0.655500i	$-0.772458\pi$
$281$	4.04096	−	12.4368i	0.241064	−	0.741918i	0.996259	−	0.0864177i	$-0.0275420\pi$
$282$	−4.21009	−	1.89758i	−0.250707	−	0.112999i
$283$	−8.51009	+	11.7131i	−0.505873	+	0.696274i	−0.983216	−	0.182443i	$-0.941600\pi$
$283$	−8.51009	+	11.7131i	−0.505873	+	0.696274i	0.477344	+	0.878717i	$0.341600\pi$
$284$	−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
$288$	2.92861	+	0.650555i	0.172570	+	0.0383343i
$289$	7.74853	+	5.62964i	0.455796	+	0.331155i
$290$	−0.597550	−	0.822457i	−0.0350893	−	0.0482963i
$291$	3.65233	+	17.5778i	0.214103	+	1.03043i
$292$	−0.0967077	−	0.0314222i	−0.00565939	−	0.00183885i
$293$	6.56633	−	4.77072i	0.383609	−	0.278708i	−0.379223	−	0.925305i	$-0.623809\pi$
$293$	6.56633	−	4.77072i	0.383609	−	0.278708i	0.762832	+	0.646597i	$0.223809\pi$
$294$	1.72172	+	0.188926i	0.100413	+	0.0110184i
$295$	0.716384	+	2.20480i	0.0417095	+	0.128369i
$296$	0.619544			0.0360103
$297$	−13.4843	−	10.7318i	−0.782441	−	0.622725i
$298$	−2.98726			−0.173047
$299$	6.08668	+	18.7329i	0.352002	+	1.08335i
$300$	−8.56417	−	0.939758i	−0.494453	−	0.0542569i
$301$	1.95012	−	1.41684i	0.112403	−	0.0816655i
$302$	0.144007	+	0.0467906i	0.00828665	+	0.00269250i
$303$	−4.16890	−	20.0640i	−0.239497	−	1.15265i
$304$	3.45842	+	4.76011i	0.198354	+	0.273011i
$305$	−1.04942	−	0.762447i	−0.0600895	−	0.0436576i
$306$	−7.97868	−	1.77236i	−0.456111	−	0.101319i
$307$			20.9851i			1.19769i	0.800867	+	0.598843i	$0.204373\pi$
$307$			20.9851i			1.19769i	−0.800867	+	0.598843i	$0.795627\pi$
$308$	−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	$-0.868956\pi$
$311$	−4.45601	+	6.13317i	−0.252677	+	0.347780i	0.663770	+	0.747937i	$0.268956\pi$
$312$	−10.5661	−	4.76238i	−0.598190	−	0.269617i
$313$	−0.203328	+	0.625778i	−0.0114928	+	0.0353710i	−0.956638	−	0.291278i	$-0.905920\pi$
$313$	−0.203328	+	0.625778i	−0.0114928	+	0.0353710i	0.945146	+	0.326649i	$0.105920\pi$
$314$	−0.549663	+	1.69169i	−0.0310193	+	0.0954676i
$315$	0.0459777	+	0.479618i	0.00259055	+	0.0270234i
$316$	5.39112	−	7.42024i	0.303274	−	0.417421i
$317$	−16.2965	+	5.29505i	−0.915302	+	0.297400i	−0.728538	−	0.685005i	$-0.759800\pi$
$317$	−16.2965	+	5.29505i	−0.915302	+	0.297400i	−0.186764	+	0.982405i	$0.559800\pi$
$318$	2.22922	+	3.90224i	0.125008	+	0.218827i
$319$	−20.1530	+	5.88202i	−1.12835	+	0.329330i
$320$			0.160605i			0.00897812i
$321$	−10.6988	−	9.72224i	−0.597150	−	0.542643i
$322$	2.38144	+	1.73022i	0.132713	+	0.0964214i
$323$	−9.42209	−	12.9684i	−0.524259	−	0.721581i
$324$	−8.83609	+	1.70982i	−0.490894	+	0.0949903i
$325$	31.6552	+	10.2854i	1.75592	+	0.570532i
$326$	−13.9082	+	10.1049i	−0.770305	+	0.559660i
$327$	−0.144615	+	1.31790i	−0.00799721	+	0.0728799i
$328$	−1.69901	−	5.22903i	−0.0938124	−	0.288725i
$329$	2.66619			0.146992
$330$	0.404318	−	0.829297i	0.0222570	−	0.0456513i
$331$	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
$333$	−1.70479	+	0.740409i	−0.0934219	+	0.0405741i
$334$	16.8406	−	12.2354i	0.921475	−	0.669491i
$335$	1.43383	+	0.465879i	0.0783383	+	0.0254537i
$336$	−1.69583	+	0.352360i	−0.0925152	+	0.0192228i
$337$	10.2525	+	14.1114i	0.558492	+	0.768698i	0.991134	−	0.132868i	$-0.0424186\pi$
$337$	10.2525	+	14.1114i	0.558492	+	0.768698i	−0.432642	+	0.901566i	$0.642419\pi$
$338$	25.7062	+	18.6766i	1.39823	+	1.01587i
$339$	12.1191	−	13.3364i	0.658219	−	0.724336i
$340$		−	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
$345$	−0.336474	+	0.746524i	−0.0181152	+	0.0401915i
$346$	−5.72685	+	17.6254i	−0.307877	+	0.947549i
$347$	−3.71644	+	11.4380i	−0.199509	+	0.614025i	0.800385	+	0.599486i	$0.204628\pi$
$347$	−3.71644	+	11.4380i	−0.199509	+	0.614025i	−0.999894	+	0.0145394i	$0.995372\pi$
$348$	−4.50509	+	9.99531i	−0.241498	+	0.535805i
$349$	5.97931	−	8.22981i	0.320065	−	0.440532i	−0.618422	−	0.785846i	$-0.712228\pi$
$349$	5.97931	−	8.22981i	0.320065	−	0.440532i	0.938487	+	0.345315i	$0.112228\pi$
$350$	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	$0.919574\pi$
$354$	16.8140	−	18.5029i	0.893654	−	0.983419i
$355$	1.37022	+	0.995521i	0.0727236	+	0.0528368i
$356$	8.87556	+	12.2162i	0.470404	+	0.647455i
$357$	4.62010	−	0.959966i	0.244522	−	0.0508068i
$358$	−17.3980	−	5.65297i	−0.919515	−	0.298769i
$359$	−17.8080	+	12.9382i	−0.939869	+	0.682855i	−0.948389	−	0.317109i	$-0.897288\pi$
$359$	−17.8080	+	12.9382i	−0.939869	+	0.682855i	0.00852040	+	0.999964i	$0.497288\pi$
$360$	−0.191937	−	0.441936i	−0.0101160	−	0.0232921i
$361$	−4.82665	−	14.8549i	−0.254034	−	0.781837i
$362$	0.716196			0.0376424
$363$	−13.3017	−	13.6405i	−0.698161	−	0.715941i
$364$	6.69138			0.350724
$365$	0.00504658	+	0.0155318i	0.000264150	+	0.000812971i
$366$	−1.52589	+	13.9057i	−0.0797595	+	0.726862i
$367$	13.6048	−	9.88448i	0.710166	−	0.515966i	−0.173061	−	0.984911i	$-0.555366\pi$
$367$	13.6048	−	9.88448i	0.710166	−	0.515966i	0.883227	+	0.468945i	$0.155366\pi$
$368$	−2.79955	−	0.909630i	−0.145937	−	0.0474178i
$369$	10.9243	+	12.3582i	0.568696	+	0.643341i
$370$	−0.0584859	−	0.0804989i	−0.00304054	−	0.00418494i
$371$	−2.09913	−	1.52511i	−0.108981	−	0.0791796i
$372$	10.8078	+	9.82131i	0.560360	+	0.509211i
$373$			11.6100i			0.601145i	0.953759	+	0.300572i	$0.0971777\pi$
$373$			11.6100i			0.601145i	−0.953759	+	0.300572i	$0.902822\pi$
$374$	−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
$378$	4.24529	−	2.99625i	0.218354	−	0.154110i
$379$	5.02873	−	15.4768i	0.258308	−	0.794992i	−0.734851	−	0.678228i	$-0.762748\pi$
$379$	5.02873	−	15.4768i	0.258308	−	0.794992i	0.993160	−	0.116763i	$-0.0372519\pi$
$380$	0.292013	−	0.898724i	0.0149800	−	0.0461036i
$381$	−21.5345	−	9.70605i	−1.10325	−	0.497256i
$382$	15.3041	−	21.0643i	0.783026	−	1.07774i
$383$	−14.2826	+	4.64070i	−0.729807	+	0.237129i	−0.650270	−	0.759703i	$-0.725344\pi$
$383$	−14.2826	+	4.64070i	−0.729807	+	0.237129i	−0.0795372	+	0.996832i	$0.525344\pi$
$384$	1.50395	−	0.859155i	0.0767479	−	0.0438436i
$385$	−0.0160731	+	0.532426i	−0.000819159	+	0.0271349i
$386$		−	2.50964i		−	0.127738i
$387$	1.56815	−	7.05936i	0.0797134	−	0.358847i
$388$	8.38572	+	6.09258i	0.425720	+	0.309304i
$389$	1.76075	+	2.42346i	0.0892736	+	0.122875i	0.851318	−	0.524651i	$-0.175804\pi$
$389$	1.76075	+	2.42346i	0.0892736	+	0.122875i	−0.762044	+	0.647525i	$0.775804\pi$
$390$	0.378672	+	1.82246i	0.0191748	+	0.0922840i
$391$	7.62707	+	2.47819i	0.385718	+	0.125327i
$392$	0.809017	−	0.587785i	0.0408615	−	0.0296876i
$393$	−12.8651	−	1.41170i	−0.648957	−	0.0712109i
$394$	−2.20809	−	6.79580i	−0.111242	−	0.342367i
$395$	−1.47306			−0.0741177
$396$	−9.92861	+	0.650178i	−0.498931	+	0.0326727i
$397$	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
$399$	10.1303	+	1.11161i	0.507148	+	0.0556500i
$400$	−4.02422	+	2.92376i	−0.201211	+	0.146188i
$401$	30.8478	+	10.0231i	1.54047	+	0.500528i	0.951505	−	0.307633i	$-0.0995368\pi$
$401$	30.8478	+	10.0231i	1.54047	+	0.500528i	0.588962	+	0.808161i	$0.299537\pi$
$402$	−3.30763	−	15.9189i	−0.164970	−	0.793962i
$403$	−33.1617	−	45.6431i	−1.65190	−	2.27364i
$404$	−9.57177	−	6.95430i	−0.476213	−	0.345989i
$405$	1.05630	+	0.986686i	0.0524881	+	0.0490288i
$406$		−	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	0.353797	−	0.935322i	$-0.384890\pi$
$409$	24.0621	−	7.81825i	1.18979	−	0.386587i	0.835997	+	0.548735i	$0.184890\pi$
$410$	−0.519031	+	0.714386i	−0.0256331	+	0.0352810i
$411$	−6.89356	−	3.10707i	−0.340034	−	0.153261i
$412$	−0.336693	+	1.03624i	−0.0165877	+	0.0510517i
$413$	−4.46052	+	13.7281i	−0.219488	+	0.675514i
$414$	8.79058	−	0.842693i	0.432033	−	0.0414161i
$415$	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	$-0.0307475\pi$
$420$	0.205872	+	0.187080i	0.0100455	+	0.00912858i
$421$	−21.4274	−	15.5679i	−1.04431	−	0.758733i	−0.0731846	−	0.997318i	$-0.523316\pi$
$421$	−21.4274	−	15.5679i	−1.04431	−	0.758733i	−0.971121	+	0.238586i	$0.923316\pi$
$422$	−13.5905	−	18.7057i	−0.661576	−	0.910582i
$423$	5.99280	−	5.29748i	0.291380	−	0.257572i
$424$	2.46767	+	0.801796i	0.119841	+	0.0389387i
$425$	10.9635	−	7.96547i	0.531809	−	0.386382i
$426$	1.99234	−	18.1565i	0.0965292	−	0.879687i
$427$	−2.49582	−	7.68134i	−0.120781	−	0.371726i
$428$	−8.34639			−0.403438
$429$	38.0658	+	5.34385i	1.83783	+	0.258004i
$430$	0.387136			0.0186694
$431$	11.3955	+	35.0716i	0.548900	+	1.68934i	0.711531	+	0.702655i	$0.248002\pi$
$431$	11.3955	+	35.0716i	0.548900	+	1.68934i	−0.162631	+	0.986687i	$0.551998\pi$
$432$	−3.11162	+	4.16147i	−0.149708	+	0.200219i
$433$	−17.7907	+	12.9257i	−0.854966	+	0.621169i	−0.926511	−	0.376268i	$-0.877207\pi$
$433$	−17.7907	+	12.9257i	−0.854966	+	0.621169i	0.0715448	+	0.997437i	$0.477207\pi$
$434$	−8.01878	−	2.60546i	−0.384914	−	0.125066i
$435$	1.72400	−	0.358214i	0.0826596	−	0.0171750i
$436$	0.449924	+	0.619267i	0.0215474	+	0.0296575i
$437$	14.0120	+	10.1803i	0.670284	+	0.486990i
$438$	0.118447	−	0.130344i	0.00565959	−	0.00622809i
$439$			0.987382i			0.0471252i	0.999722	+	0.0235626i	$0.00750090\pi$
$439$			0.987382i			0.0471252i	−0.999722	+	0.0235626i	$0.992499\pi$
$440$	−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	$-0.729697\pi$
$443$	5.42049	−	7.46066i	0.257535	−	0.354467i	0.918132	+	0.396274i	$0.129697\pi$
$444$	−0.440941	+	0.978302i	−0.0209261	+	0.0464282i
$445$	0.749411	−	2.30645i	0.0355255	−	0.109336i
$446$	−2.35051	+	7.23414i	−0.111300	+	0.342547i
$447$	2.12609	−	4.71709i	0.100561	−	0.223111i
$448$	−0.587785	+	0.809017i	−0.0277702	+	0.0382225i
$449$	28.6076	−	9.29517i	1.35008	−	0.438666i	0.457358	−	0.889283i	$-0.348796\pi$
$449$	28.6076	−	9.29517i	1.35008	−	0.438666i	0.892718	+	0.450617i	$0.148796\pi$
$450$	7.57923	−	12.8546i	0.357288	−	0.605970i
$451$	10.2684	+	15.0693i	0.483518	+	0.709586i
$452$		−	10.4041i		−	0.489366i
$453$	−0.176378	+	0.194095i	−0.00828695	+	0.00911936i
$454$	19.2651	+	13.9969i	0.904157	+	0.656909i
$455$	−0.631676	−	0.869428i	−0.0296134	−	0.0407594i
$456$	−9.97797	+	2.07322i	−0.467261	+	0.0970876i
$457$	−13.0274	−	4.23287i	−0.609398	−	0.198005i	−0.0119705	−	0.999928i	$-0.503810\pi$
$457$	−13.0274	−	4.23287i	−0.609398	−	0.198005i	−0.597427	+	0.801923i	$0.703810\pi$
$458$	11.1501	−	8.10103i	0.521010	−	0.378536i
$459$	8.47726	−	11.3375i	0.395685	−	0.529187i
$460$	0.146092	+	0.449624i	0.00681156	+	0.0209638i
$461$	2.00605			0.0934310			0.0467155	−	0.998908i	$-0.485125\pi$
$461$	2.00605			0.0934310			0.0467155	+	0.998908i	$0.485125\pi$
$462$	5.07173	−	2.69769i	0.235958	−	0.125508i
$463$	−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
$465$	0.255832	−	2.33144i	0.0118639	−	0.108118i
$466$	0.843104	−	0.612551i	0.0390561	−	0.0283759i
$467$	−14.7956	−	4.80739i	−0.684659	−	0.222459i	−0.0540251	−	0.998540i	$-0.517205\pi$
$467$	−14.7956	−	4.80739i	−0.684659	−	0.222459i	−0.630634	+	0.776080i	$0.717205\pi$
$468$	15.0403	−	13.2952i	0.695236	−	0.614570i
$469$	5.51758	+	7.59430i	0.254778	+	0.350672i
$470$	0.346424	+	0.251692i	0.0159794	+	0.0116097i
$471$	−2.28009	−	2.07196i	−0.105061	−	0.0954711i
$472$		−	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
$477$	−7.74848	+	0.742794i	−0.354778	+	0.0340102i
$478$	−6.59184	+	20.2876i	−0.301504	+	0.927933i
$479$	7.65871	−	23.5711i	0.349935	−	1.07699i	−0.608953	−	0.793206i	$-0.708410\pi$
$479$	7.65871	−	23.5711i	0.349935	−	1.07699i	0.958888	−	0.283784i	$-0.0915898\pi$
$480$	−0.253607	−	0.114306i	−0.0115755	−	0.00521733i
$481$	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
$486$	3.58888	−	15.1697i	0.162795	−	0.688112i
$487$	18.9050	+	13.7353i	0.856667	+	0.622405i	0.926976	−	0.375120i	$-0.122398\pi$
$487$	18.9050	+	13.7353i	0.856667	+	0.622405i	−0.0703088	+	0.997525i	$0.522398\pi$
$488$	4.74733	+	6.53414i	0.214901	+	0.295787i
$489$	−6.05760	−	29.1539i	−0.273934	−	1.31838i
$490$	−0.152745	−	0.0496298i	−0.00690031	−	0.00224205i
$491$	11.4997	−	8.35505i	0.518976	−	0.377058i	−0.297242	−	0.954802i	$-0.596067\pi$
$491$	11.4997	−	8.35505i	0.518976	−	0.377058i	0.816218	+	0.577744i	$0.196067\pi$
$492$	9.46621	+	1.03874i	0.426770	+	0.0468300i
$493$	−5.32901	−	16.4010i	−0.240007	−	0.738664i
$494$	39.3709			1.77138
$495$	1.02176	+	1.22867i	0.0459245	+	0.0552247i
$496$	8.43144			0.378583
$497$	3.25877	+	10.0295i	0.146176	+	0.449883i
$498$	−24.4678	−	2.68489i	−1.09643	−	0.120313i
$499$	31.5546	−	22.9258i	1.41258	−	1.02630i	0.419636	−	0.907692i	$-0.362158\pi$
$499$	31.5546	−	22.9258i	1.41258	−	1.02630i	0.992941	−	0.118606i	$-0.0378424\pi$
$500$	1.52351	+	0.495018i	0.0681334	+	0.0221379i
$501$	7.33476	+	35.3006i	0.327693	+	1.57711i
$502$	0.436314	+	0.600534i	0.0194736	+	0.0268031i
$503$	11.0554	+	8.03224i	0.492937	+	0.358140i	0.806313	−	0.591489i	$-0.201460\pi$
$503$	11.0554	+	8.03224i	0.492937	+	0.358140i	−0.313376	+	0.949629i	$0.601460\pi$
$504$	0.650555	−	2.92861i	0.0289780	−	0.130451i
$505$			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	$-0.796062\pi$
$509$	0.328071	−	0.451551i	0.0145415	−	0.0200146i	0.816226	+	0.577733i	$0.196062\pi$
$510$	0.690924	+	0.311414i	0.0305946	+	0.0137896i
$511$	−0.0314222	+	0.0967077i	−0.00139004	+	0.00427810i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	24.9785	−	17.6294i	1.10283	−	0.778357i
$514$	−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
$519$	−23.7558	−	21.5874i	−1.04277	−	0.947583i
$520$	0.869428	+	0.631676i	0.0381269	+	0.0277008i
$521$	−10.1785	−	14.0094i	−0.445926	−	0.613765i	0.525590	−	0.850738i	$-0.323845\pi$
$521$	−10.1785	−	14.0094i	−0.445926	−	0.613765i	−0.971516	+	0.236973i	$0.923845\pi$
$522$	−12.5769	−	14.2277i	−0.550476	−	0.622730i
$523$	3.75620	+	1.22046i	0.164247	+	0.0533672i	0.389986	−	0.920821i	$-0.372480\pi$
$523$	3.75620	+	1.22046i	0.164247	+	0.0533672i	−0.225739	+	0.974188i	$0.572480\pi$
$524$	−6.04517	+	4.39207i	−0.264084	+	0.191868i
$525$	−0.939758	+	8.56417i	−0.0410144	+	0.373771i
$526$	−0.669016	−	2.05902i	−0.0291705	−	0.0897776i
$527$	−22.9705			−1.00061
$528$	−3.98988	+	4.13290i	−0.173637	+	0.179862i
$529$	14.3351			0.623264
$530$	−0.128773	−	0.396322i	−0.00559353	−	0.0172151i
$531$	17.2505	+	39.7193i	0.748609	+	1.72367i
$532$	4.76011	−	3.45842i	0.206377	−	0.149942i
$533$	−34.9894	−	11.3687i	−1.51556	−	0.492435i
$534$	−25.6071	+	5.32064i	−1.10813	+	0.230247i
$535$	0.787912	+	1.08447i	0.0340644	+	0.0468856i
$536$	−7.59430	−	5.51758i	−0.328024	−	0.238323i
$537$	21.3089	−	23.4494i	0.919549	−	1.01192i
$538$		−	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	−0.355729	−	0.934589i	$-0.615767\pi$
$541$	−2.19061	+	0.711774i	−0.0941819	+	0.0306015i	0.261547	+	0.965191i	$0.415767\pi$
$542$	−8.04765	+	11.0766i	−0.345676	+	0.475783i
$543$	−0.509730	+	1.13092i	−0.0218746	+	0.0485325i
$544$	−0.841882	+	2.59105i	−0.0360954	+	0.111090i
$545$	0.0379894	−	0.116919i	0.00162729	−	0.00500828i
$546$	−4.76238	+	10.5661i	−0.203811	+	0.452189i
$547$	−10.3976	+	14.3110i	−0.444568	+	0.611895i	−0.971219	−	0.238186i	$-0.923447\pi$
$547$	−10.3976	+	14.3110i	−0.444568	+	0.611895i	0.526652	+	0.850081i	$0.323447\pi$
$548$	−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
$552$	3.42886	−	3.77329i	0.145942	−	0.160602i
$553$	−7.42024	−	5.39112i	−0.315541	−	0.229254i
$554$	−5.45472	−	7.50777i	−0.231749	−	0.318975i
$555$	0.168739	−	0.0350606i	0.00716257	−	0.00148824i
$556$	19.6981	+	6.40031i	0.835387	+	0.271434i
$557$	−19.5079	+	14.1733i	−0.826575	+	0.600542i	−0.918588	−	0.395216i	$-0.870670\pi$
$557$	−19.5079	+	14.1733i	−0.826575	+	0.600542i	0.0920130	+	0.995758i	$0.470670\pi$
$558$	−23.2007	+	10.0763i	−0.982163	+	0.426564i
$559$	4.98427	+	15.3400i	0.210812	+	0.648813i
$560$	0.160605			0.00678682
$561$	10.8700	−	11.2596i	0.458931	−	0.475382i
$562$	13.0768			0.551613
$563$	−3.90298	−	12.0121i	−0.164491	−	0.506251i	0.834507	−	0.550997i	$-0.185752\pi$
$563$	−3.90298	−	12.0121i	−0.164491	−	0.506251i	−0.998998	+	0.0447455i	$0.985752\pi$
$564$	0.503712	−	4.59042i	0.0212101	−	0.193291i
$565$	−1.35183	+	0.982159i	−0.0568717	+	0.0413197i
$566$	−13.7696	−	4.47402i	−0.578780	−	0.188057i
$567$	1.70982	+	8.83609i	0.0718059	+	0.371081i
$568$	−6.19855	−	8.53157i	−0.260085	−	0.357977i
$569$	5.85782	+	4.25595i	0.245572	+	0.178419i	0.703762	−	0.710436i	$-0.251502\pi$
$569$	5.85782	+	4.25595i	0.245572	+	0.178419i	−0.458190	+	0.888854i	$0.651502\pi$
$570$	1.21131	+	1.10075i	0.0507364	+	0.0461052i
$571$			23.6249i			0.988672i	0.869271	+	0.494336i	$0.164589\pi$
$571$			23.6249i			0.988672i	−0.869271	+	0.494336i	$0.835411\pi$
$572$	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
$576$	0.286277	+	2.98631i	0.0119282	+	0.124430i
$577$	−7.52191	+	23.1501i	−0.313141	+	0.963749i	0.663372	+	0.748290i	$0.269125\pi$
$577$	−7.52191	+	23.1501i	−0.313141	+	0.963749i	−0.976513	+	0.215459i	$0.930875\pi$
$578$	−2.95967	+	9.10894i	−0.123106	+	0.378882i
$579$	3.96290	+	1.78616i	0.164692	+	0.0742304i
$580$	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
$585$	−3.14730	−	0.699133i	−0.130125	−	0.0289056i
$586$	6.56633	+	4.77072i	0.271253	+	0.197077i
$587$	−10.3759	−	14.2812i	−0.428259	−	0.589447i	0.539294	−	0.842118i	$-0.318691\pi$
$587$	−10.3759	−	14.2812i	−0.428259	−	0.589447i	−0.967552	+	0.252670i	$0.918691\pi$
$588$	0.352360	+	1.69583i	0.0145311	+	0.0699349i
$589$	−47.1811	−	15.3301i	−1.94406	−	0.631664i
$590$	−1.87552	+	1.36264i	−0.0772138	+	0.0560991i
$591$	12.3026	+	1.34998i	0.506060	+	0.0555306i
$592$	0.191450	+	0.589221i	0.00786853	+	0.0242169i
$593$	−22.6256			−0.929122			−0.464561	−	0.885541i	$-0.653788\pi$
$593$	−22.6256			−0.929122			−0.464561	+	0.885541i	$0.653788\pi$
$594$	6.03970	−	16.1407i	0.247812	−	0.662261i
$595$	−0.437552			−0.0179379
$596$	−0.923115	−	2.84105i	−0.0378123	−	0.116374i
$597$	−22.3187	−	2.44906i	−0.913445	−	0.100233i
$598$	−15.9351	+	11.5776i	−0.651636	+	0.473442i
$599$	26.5826	+	8.63722i	1.08614	+	0.352907i	0.796753	−	0.604306i	$-0.206549\pi$
$599$	26.5826	+	8.63722i	1.08614	+	0.352907i	0.289384	+	0.957213i	$0.406549\pi$
$600$	−1.75271	−	8.43541i	−0.0715542	−	0.344374i
$601$	−14.4751	−	19.9233i	−0.590453	−	0.812688i	0.404340	−	0.914609i	$-0.367501\pi$
$601$	−14.4751	−	19.9233i	−0.590453	−	0.812688i	−0.994793	+	0.101921i	$0.967501\pi$
$602$	1.95012	+	1.41684i	0.0794809	+	0.0577462i
$603$	27.4911	+	6.10680i	1.11952	+	0.248688i
$604$			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	−0.105246	−	0.994446i	$-0.533563\pi$
$607$	9.71031	−	3.15507i	0.394129	−	0.128060i	0.499375	+	0.866386i	$0.333563\pi$
$608$	−3.45842	+	4.76011i	−0.140258	+	0.193048i
$609$	9.99531	+	4.50509i	0.405030	+	0.182556i
$610$	0.400842	−	1.23367i	0.0162296	−	0.0499496i
$611$	−5.51301	+	16.9673i	−0.223032	+	0.686423i
$612$	−0.779930	−	8.13587i	−0.0315268	−	0.328873i
$613$	−19.0272	+	26.1887i	−0.768501	+	1.05775i	0.227958	+	0.973671i	$0.426795\pi$
$613$	−19.0272	+	26.1887i	−0.768501	+	1.05775i	−0.996459	+	0.0840800i	$0.973205\pi$
$614$	−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	$-0.0114253\pi$
$618$	−1.39666	−	1.26917i	−0.0561817	−	0.0510535i
$619$	−8.02668	−	5.83173i	−0.322620	−	0.234397i	0.414673	−	0.909971i	$-0.363896\pi$
$619$	−8.02668	−	5.83173i	−0.322620	−	0.234397i	−0.737292	+	0.675574i	$0.763896\pi$
$620$	−0.795941	−	1.09552i	−0.0319658	−	0.0439971i
$621$	−4.92575	+	14.4807i	−0.197664	+	0.581090i
$622$	−7.20997	−	2.34266i	−0.289094	−	0.0939322i
$623$	12.2162	−	8.87556i	0.489430	−	0.355592i
$624$	1.26418	−	11.5207i	0.0506076	−	0.461195i
$625$	7.60607	+	23.4091i	0.304243	+	0.936363i
$626$	−0.657982			−0.0262982
$627$	29.8412	−	15.8727i	1.19174	−	0.633895i
$628$	−1.77875			−0.0709798
$629$	−0.521583	−	1.60527i	−0.0207969	−	0.0640062i
$630$	−0.441936	+	0.191937i	−0.0176071	+	0.00764697i
$631$	−37.9689	+	27.5860i	−1.51152	+	1.09818i	−0.546021	+	0.837771i	$0.683858\pi$
$631$	−37.9689	+	27.5860i	−1.51152	+	1.09818i	−0.965498	+	0.260411i	$0.916142\pi$
$632$	8.72301	+	2.83428i	0.346983	+	0.112742i
$633$	39.2103	−	8.14712i	1.55847	−	0.323819i
$634$	−10.0718	−	13.8626i	−0.400002	−	0.550555i
$635$	1.77195	+	1.28740i	0.0703177	+	0.0510888i
$636$	−3.02238	+	3.32597i	−0.119845	+	0.131883i
$637$		−	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	0.0323623	−	0.999476i	$-0.489697\pi$
$641$	24.6324	−	33.9036i	0.972920	−	1.33911i	0.940558	−	0.339634i	$-0.110303\pi$
$642$	5.94029	−	13.1795i	0.234444	−	0.520154i
$643$	−3.48769	+	10.7340i	−0.137541	+	0.423308i	−0.995977	−	0.0896133i	$-0.971437\pi$
$643$	−3.48769	+	10.7340i	−0.137541	+	0.423308i	0.858435	+	0.512922i	$0.171437\pi$
$644$	−0.909630	+	2.79955i	−0.0358445	+	0.110318i
$645$	−0.275532	+	0.611314i	−0.0108491	+	0.0240705i
$646$	9.42209	−	12.9684i	0.370707	−	0.510235i
$647$	−28.7627	+	9.34555i	−1.13078	+	0.367412i	−0.813871	−	0.581046i	$-0.802644\pi$
$647$	−28.7627	+	9.34555i	−1.13078	+	0.367412i	−0.316905	+	0.948457i	$0.602644\pi$
$648$	−4.35664	−	7.87526i	−0.171145	−	0.309369i
$649$	13.4133	+	45.9565i	0.526517	+	1.80395i
$650$			33.2843i			1.30552i
$651$	9.82131	−	10.8078i	0.384928	−	0.423593i
$652$	−13.9082	−	10.1049i	−0.544688	−	0.395739i
$653$	−5.11472	−	7.03980i	−0.200154	−	0.275489i	0.697127	−	0.716947i	$-0.254461\pi$
$653$	−5.11472	−	7.03980i	−0.200154	−	0.275489i	−0.897282	+	0.441459i	$0.854461\pi$
$654$	−1.29808	+	0.269716i	−0.0507591	+	0.0105467i
$655$	1.14135	+	0.370846i	0.0445961	+	0.0144901i
$656$	4.44808	−	3.23172i	0.173668	−	0.126177i
$657$	0.121522	+	0.279804i	0.00474101	+	0.0109162i
$658$	0.823897	+	2.53569i	0.0321188	+	0.0988516i
$659$	1.04851			0.0408442			0.0204221	−	0.999791i	$-0.493499\pi$
$659$	1.04851			0.0408442			0.0204221	+	0.999791i	$0.493499\pi$
$660$	0.913649	+	0.128262i	0.0355637	+	0.00499261i
$661$	−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
$663$	−3.44411	+	31.3867i	−0.133758	+	1.21896i
$664$	−11.4972	+	8.35319i	−0.446177	+	0.324167i
$665$	−0.898724	−	0.292013i	−0.0348510	−	0.0113238i
$666$	−1.23098	−	1.39255i	−0.0476995	−	0.0539603i
$667$	10.9521	+	15.0742i	0.424066	+	0.583677i
$668$	16.8406	+	12.2354i	0.651581	+	0.473402i
$669$	−9.75029	−	8.86030i	−0.376968	−	0.342559i
$670$			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	−0.882450	−	0.470407i	$-0.844107\pi$
$673$	−34.2404	+	11.1254i	−1.31987	+	0.428851i	−0.437419	+	0.899258i	$0.644107\pi$
$674$	−10.2525	+	14.1114i	−0.394913	+	0.543552i
$675$	14.9040	+	21.1170i	0.573653	+	0.812792i
$676$	−9.81888	+	30.2194i	−0.377649	+	1.16228i
$677$	−8.43360	+	25.9559i	−0.324129	+	0.997568i	0.647703	+	0.761893i	$0.275730\pi$
$677$	−8.43360	+	25.9559i	−0.324129	+	0.997568i	−0.971832	+	0.235675i	$0.924270\pi$
$678$	16.4287	+	7.40477i	0.630941	+	0.284378i
$679$	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	$-0.332181\pi$
$684$	3.82775	−	17.2314i	0.146358	−	0.658861i
$685$	0.567232	+	0.412118i	0.0216728	+	0.0157462i
$686$	−0.587785	−	0.809017i	−0.0224417	−	0.0308884i
$687$	4.85633	+	23.3724i	0.185281	+	0.891714i
$688$	−2.29250	−	0.744879i	−0.0874008	−	0.0283982i
$689$	14.0461	−	10.2051i	0.535113	−	0.388782i
$690$	−0.813963	−	0.0893172i	−0.0309870	−	0.00340025i
$691$	3.47116	+	10.6831i	0.132049	+	0.406406i	0.995119	−	0.0986784i	$-0.0314615\pi$
$691$	3.47116	+	10.6831i	0.132049	+	0.406406i	−0.863070	+	0.505084i	$0.831462\pi$
$692$	−18.5325			−0.704499
$693$	0.650178	+	9.92861i	0.0246982	+	0.377157i
$694$	−12.0266			−0.456525
$695$	−1.02793	−	3.16363i	−0.0389914	−	0.120003i
$696$	−10.8983	−	1.19588i	−0.413097	−	0.0453297i
$697$	−12.1183	+	8.80445i	−0.459013	+	0.333492i
$698$	9.67472	+	3.14351i	0.366194	+	0.118983i
$699$	0.367207	+	1.76728i	0.0138890	+	0.0668448i
$700$	2.92376	+	4.02422i	0.110508	+	0.152101i
$701$	−24.7251	−	17.9638i	−0.933852	−	0.678483i	0.0130806	−	0.999914i	$-0.495836\pi$
$701$	−24.7251	−	17.9638i	−0.933852	−	0.678483i	−0.946933	+	0.321431i	$0.895836\pi$
$702$	10.2896	+	33.2120i	0.388355	+	1.25351i
$703$		−	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
$708$	22.7931	+	10.2733i	0.856618	+	0.386096i
$709$	−3.50974	+	10.8019i	−0.131811	+	0.405673i	−0.995080	−	0.0990706i	$-0.968413\pi$
$709$	−3.50974	+	10.8019i	−0.131811	+	0.405673i	0.863269	+	0.504744i	$0.168413\pi$
$710$	−0.523376	+	1.61079i	−0.0196420	+	0.0604517i
$711$	−27.3902	+	2.62571i	−1.02721	+	0.0984718i
$712$	−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
$717$	−27.3440	−	24.8480i	−1.02118	−	0.927967i
$718$	−17.8080	−	12.9382i	−0.664587	−	0.482851i
$719$	−9.17659	−	12.6305i	−0.342229	−	0.471038i	0.602862	−	0.797846i	$-0.294027\pi$
$719$	−9.17659	−	12.6305i	−0.342229	−	0.471038i	−0.945091	+	0.326808i	$0.894027\pi$
$720$	0.360994	−	0.319109i	0.0134534	−	0.0118925i
$721$	1.03624	+	0.336693i	0.0385914	+	0.0125391i
$722$	12.6363	−	9.18083i	0.470276	−	0.341675i
$723$	2.31020	−	21.0532i	0.0859173	−	0.782978i
$724$	0.221317	+	0.681143i	0.00822517	+	0.0253145i
$725$	31.4861			1.16936
$726$	8.86243	−	16.8659i	0.328916	−	0.625951i
$727$	−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
$729$	21.3997	+	16.4637i	0.792582	+	0.609765i
$730$	−0.0132121	+	0.00959917i	−0.000489003	+	0.000355281i
$731$	6.24566	+	2.02934i	0.231004	+	0.0750578i
$732$	−13.6966	+	2.84589i	−0.506241	+	0.105187i
$733$	−7.76379	−	10.6859i	−0.286762	−	0.394694i	0.641197	−	0.767376i	$-0.278438\pi$
$733$	−7.76379	−	10.6859i	−0.286762	−	0.394694i	−0.927959	+	0.372682i	$0.878438\pi$
$734$	13.6048	+	9.88448i	0.502163	+	0.364843i
$735$	0.187080	−	0.205872i	0.00690056	−	0.00759371i
$736$		−	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	−0.602869	−	0.797840i	$-0.705976\pi$
$739$	−16.8990	+	5.49083i	−0.621641	+	0.201983i	−0.0187721	+	0.999824i	$0.505976\pi$
$740$	0.0584859	−	0.0804989i	0.00214998	−	0.00295920i
$741$	−28.0210	+	62.1693i	−1.02938	+	2.28385i
$742$	0.801796	−	2.46767i	0.0294349	−	0.0905912i
$743$	−6.86362	+	21.1240i	−0.251802	+	0.774966i	0.742641	+	0.669689i	$0.233573\pi$
$743$	−6.86362	+	21.1240i	−0.251802	+	0.774966i	−0.994443	+	0.105277i	$0.966427\pi$
$744$	−6.00082	+	13.3138i	−0.220001	+	0.488108i
$745$	−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
$750$	−1.86598	+	2.05341i	−0.0681359	+	0.0749799i
$751$	−5.60877	−	4.07501i	−0.204667	−	0.148699i	0.480731	−	0.876868i	$-0.340371\pi$
$751$	−5.60877	−	4.07501i	−0.204667	−	0.148699i	−0.685397	+	0.728169i	$0.740371\pi$
$752$	−1.56714	−	2.15699i	−0.0571479	−	0.0786573i
$753$	−1.25882	+	0.261557i	−0.0458738	+	0.00953167i
$754$	40.2826	+	13.0886i	1.46700	+	0.476659i
$755$	0.0196741	−	0.0142941i	0.000716013	−	0.000520214i
$756$	4.16147	+	3.11162i	0.151351	+	0.113169i
$757$	−10.4463	−	32.1505i	−0.379678	−	1.16853i	−0.940268	−	0.340436i	$-0.889425\pi$
$757$	−10.4463	−	32.1505i	−0.379678	−	1.16853i	0.560590	−	0.828094i	$-0.310575\pi$
$758$	16.2733			0.591073
$759$	−7.41046	+	15.1996i	−0.268983	+	0.551711i
$760$	0.944974			0.0342778
$761$	5.92539	+	18.2365i	0.214795	+	0.661072i	0.999168	+	0.0407823i	$0.0129850\pi$
$761$	5.92539	+	18.2365i	0.214795	+	0.661072i	−0.784373	+	0.620290i	$0.787015\pi$
$762$	2.57647	−	23.4798i	0.0933358	−	0.850585i
$763$	0.619267	−	0.449924i	0.0224190	−	0.0162883i
$764$	24.7626	+	8.04585i	0.895878	+	0.291088i
$765$	−0.983487	+	0.869377i	−0.0355581	+	0.0314324i
$766$	−8.82714	−	12.1495i	−0.318937	−	0.438980i
$767$	−78.1406	−	56.7724i	−2.82149	−	2.04993i
$768$	1.28185	+	1.16484i	0.0462548	+	0.0420327i
$769$			4.54196i			0.163787i	0.996641	+	0.0818936i	$0.0260968\pi$
$769$			4.54196i			0.163787i	−0.996641	+	0.0818936i	$0.973903\pi$
$770$	−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	$-0.703008\pi$
$773$	9.80576	−	13.4965i	0.352689	−	0.485434i	0.948094	+	0.317992i	$0.103008\pi$
$774$	7.19843	−	0.690065i	0.258742	−	0.0248039i
$775$	12.9601	−	39.8870i	0.465540	−	1.43278i
$776$	−3.20306	+	9.85801i	−0.114983	+	0.353882i
$777$	0.978302	+	0.440941i	0.0350964	+	0.0158187i
$778$	−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
$783$	31.4177	−	9.73367i	1.12278	−	0.347853i
$784$	0.809017	+	0.587785i	0.0288935	+	0.0209923i
$785$	0.167917	+	0.231117i	0.00599320	+	0.00824893i
$786$	−2.63292	−	12.6716i	−0.0939131	−	0.451983i
$787$	20.5616	+	6.68088i	0.732944	+	0.238148i	0.651626	−	0.758540i	$-0.274087\pi$
$787$	20.5616	+	6.68088i	0.732944	+	0.238148i	0.0813176	+	0.996688i	$0.474087\pi$
$788$	5.78085	−	4.20003i	0.205934	−	0.149620i
$789$	3.72749	+	0.409022i	0.132702	+	0.0145616i
$790$	−0.455201	−	1.40096i	−0.0161953	−	0.0498440i
$791$	−10.4041			−0.369926
$792$	−3.68647	−	9.24175i	−0.130993	−	0.328391i
$793$	54.0439			1.91915
$794$	2.50679	+	7.71510i	0.0889626	+	0.273799i
$795$	0.717470	+	0.0787289i	0.0254460	+	0.00279223i
$796$	−10.4873	+	7.61950i	−0.371714	+	0.270066i
$797$	12.1477	+	3.94703i	0.430294	+	0.139811i	0.516153	−	0.856496i	$-0.327363\pi$
$797$	12.1477	+	3.94703i	0.430294	+	0.139811i	−0.0858590	+	0.996307i	$0.527363\pi$
$798$	2.07322	+	9.97797i	0.0733913	+	0.353216i
$799$	4.26951	+	5.87648i	0.151044	+	0.207895i
$800$	−4.02422	−	2.92376i	−0.142278	−	0.103371i
$801$	9.82338	−	44.2221i	0.347092	−	1.56251i
$802$			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
$807$	2.25566	+	1.01667i	0.0794029	+	0.0357886i
$808$	3.65609	−	11.2523i	0.128621	−	0.395854i
$809$	9.22491	−	28.3913i	0.324330	−	0.998187i	−0.647411	−	0.762141i	$-0.724148\pi$
$809$	9.22491	−	28.3913i	0.324330	−	0.998187i	0.971742	−	0.236046i	$-0.0758516\pi$
$810$	−0.611979	+	1.30951i	−0.0215027	+	0.0460113i
$811$	20.0631	−	27.6144i	0.704509	−	0.969674i	−0.295388	−	0.955377i	$-0.595449\pi$
$811$	20.0631	−	27.6144i	0.704509	−	0.969674i	0.999898	−	0.0142968i	$-0.00455097\pi$
$812$	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
$816$	−3.49226	−	3.17349i	−0.122253	−	0.111094i
$817$	11.4741	+	8.33645i	0.401430	+	0.291656i
$818$	14.8712	+	20.4684i	0.519959	+	0.715662i
$819$	−13.2952	−	15.0403i	−0.464571	−	0.525549i
$820$	−0.839811	−	0.272871i	−0.0293275	−	0.00952907i
$821$	21.7460	−	15.7994i	0.758939	−	0.551402i	−0.139645	−	0.990202i	$-0.544596\pi$
$821$	21.7460	−	15.7994i	0.758939	−	0.551402i	0.898585	+	0.438800i	$0.144596\pi$
$822$	0.824774	−	7.51630i	0.0287673	−	0.262161i
$823$	−15.5036	−	47.7152i	−0.540422	−	1.66325i	−0.731633	−	0.681699i	$-0.761242\pi$
$823$	−15.5036	−	47.7152i	−0.540422	−	1.66325i	0.191211	−	0.981549i	$-0.438758\pi$
$824$	−1.08956			−0.0379567
$825$	13.4188	+	25.2279i	0.467184	+	0.878321i
$826$	−14.4345			−0.502242
$827$	6.73474	+	20.7274i	0.234190	+	0.720762i	0.997228	+	0.0744087i	$0.0237069\pi$
$827$	6.73474	+	20.7274i	0.234190	+	0.720762i	−0.763038	+	0.646354i	$0.776293\pi$
$828$	3.51789	+	8.09993i	0.122255	+	0.281492i
$829$	−18.6834	+	13.5743i	−0.648900	+	0.471453i	−0.862896	−	0.505381i	$-0.831352\pi$
$829$	−18.6834	+	13.5743i	−0.648900	+	0.471453i	0.213996	+	0.976834i	$0.431352\pi$
$830$	2.17070	+	0.705304i	0.0753462	+	0.0244815i
$831$	15.7375	−	3.26994i	0.545928	−	0.113433i
$832$	−3.93309	−	5.41344i	−0.136356	−	0.187677i
$833$	−2.20408	−	1.60136i	−0.0763667	−	0.0554837i
$834$	−24.1261	+	26.5495i	−0.835417	+	0.919333i
$835$		−	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	$-0.848439\pi$
$839$	−5.16175	+	7.10453i	−0.178203	+	0.245276i	0.710566	+	0.703630i	$0.248439\pi$
$840$	−0.114306	+	0.253607i	−0.00394393	+	0.00875027i
$841$	3.42000	−	10.5257i	0.117931	−	0.362954i
$842$	8.18453	−	25.1894i	0.282057	−	0.868083i
$843$	−9.30703	+	20.6492i	−0.320551	+	0.711196i
$844$	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
$849$	16.8649	−	18.5589i	0.578801	−	0.636941i
$850$	10.9635	+	7.96547i	0.376046	+	0.273213i
$851$	1.07195	+	1.47541i	0.0367459	+	0.0505764i
$852$	17.8836	−	3.71585i	0.612681	−	0.127303i
$853$	−1.26560	−	0.411219i	−0.0433334	−	0.0140799i	0.287270	−	0.957850i	$-0.407252\pi$
$853$	−1.26560	−	0.411219i	−0.0433334	−	0.0140799i	−0.330603	+	0.943770i	$0.607252\pi$
$854$	6.53414	−	4.74733i	0.223594	−	0.162450i
$855$	−2.60027	+	1.12933i	−0.0889274	+	0.0386221i
$856$	−2.57918	−	7.93789i	−0.0881544	−	0.271311i
$857$	−8.79463			−0.300419			−0.150209	−	0.988654i	$-0.547995\pi$
$857$	−8.79463			−0.300419			−0.150209	+	0.988654i	$0.547995\pi$
$858$	6.68067	+	37.8541i	0.228074	+	1.29232i
$859$	−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
$861$	1.03874	−	9.46621i	0.0354002	−	0.322608i
$862$	−29.8337	+	21.6755i	−1.01614	+	0.738269i
$863$	22.2608	+	7.23297i	0.757766	+	0.246213i	0.662320	−	0.749221i	$-0.269572\pi$
$863$	22.2608	+	7.23297i	0.757766	+	0.246213i	0.0954465	+	0.995435i	$0.469572\pi$
$864$	−4.91934	−	1.67336i	−0.167359	−	0.0569289i
$865$	1.74949	+	2.40797i	0.0594846	+	0.0818735i
$866$	−17.7907	−	12.9257i	−0.604552	−	0.439233i
$867$	−12.2772	−	11.1565i	−0.416955	−	0.378896i
$868$		−	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
$873$	−2.96736	−	30.9541i	−0.100430	−	1.04764i
$874$	−5.35210	+	16.4721i	−0.181038	+	0.557176i
$875$	0.495018	−	1.52351i	0.0167347	−	0.0515040i
$876$	0.160567	+	0.0723708i	0.00542505	+	0.00244518i
$877$	16.8980	−	23.2581i	0.570606	−	0.785372i	−0.422020	−	0.906586i	$-0.638679\pi$
$877$	16.8980	−	23.2581i	0.570606	−	0.785372i	0.992626	+	0.121215i	$0.0386789\pi$
$878$	−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	$0.763248\pi$
$882$	−2.92861	−	0.650555i	−0.0986116	−	0.0219053i
$883$	8.15600	+	5.92568i	0.274471	+	0.199415i	0.716502	−	0.697585i	$-0.245742\pi$
$883$	8.15600	+	5.92568i	0.274471	+	0.199415i	−0.442031	+	0.897000i	$0.645742\pi$
$884$	10.7153	+	14.7483i	0.360394	+	0.496039i
$885$	−0.816865	−	3.93139i	−0.0274586	−	0.132152i
$886$	8.77053	+	2.84972i	0.294652	+	0.0957382i
$887$	−43.7299	+	31.7717i	−1.46831	+	1.06679i	−0.487207	+	0.873286i	$0.661984\pi$
$887$	−43.7299	+	31.7717i	−1.46831	+	1.06679i	−0.981100	+	0.193501i	$0.938016\pi$
$888$	−1.06668	−	0.117048i	−0.0357954	−	0.00392788i
$889$	4.21421	+	12.9700i	0.141340	+	0.435000i
$890$	2.42514			0.0812910
$891$	21.1887	+	21.0247i	0.709847	+	0.704355i
$892$	−7.60643			−0.254682
$893$	4.84766	+	14.9196i	0.162221	+	0.499264i
$894$	5.14322	+	0.564372i	0.172015	+	0.0188754i
$895$	−2.37691	+	1.72692i	−0.0794512	+	0.0577247i
$896$	−0.951057	−	0.309017i	−0.0317726	−	0.0103235i
$897$	−6.94041	−	33.4026i	−0.231733	−	1.11528i
$898$	17.6805	+	24.3351i	0.590005	+	0.812072i
$899$	−43.1772	−	31.3701i	−1.44004	−	1.04625i
$900$	14.5675	+	3.23599i	0.485584	+	0.107866i
$901$		−	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
$906$	−0.239099	−	0.107767i	−0.00794352	−	0.00358031i
$907$	−3.39484	+	10.4482i	−0.112724	+	0.346928i	−0.991465	−	0.130370i	$-0.958384\pi$
$907$	−3.39484	+	10.4482i	−0.112724	+	0.346928i	0.878742	+	0.477298i	$0.158384\pi$
$908$	−7.35862	+	22.6475i	−0.244205	+	0.751584i
$909$	3.38705	+	35.3321i	0.112341	+	1.17189i
$910$	0.631676	−	0.869428i	0.0209399	−	0.0288213i
$911$	3.17983	−	1.03319i	0.105353	−	0.0342311i	−0.255866	−	0.966712i	$-0.582361\pi$
$911$	3.17983	−	1.03319i	0.105353	−	0.0342311i	0.361219	+	0.932481i	$0.382361\pi$
$912$	−5.05511	−	8.84895i	−0.167392	−	0.293018i
$913$	28.8424	−	37.2785i	0.954544	−	1.23374i
$914$		−	13.6979i		−	0.453085i
$915$	1.66275	+	1.51098i	0.0549690	+	0.0499515i
$916$	11.1501	+	8.10103i	0.368410	+	0.267665i
$917$	4.39207	+	6.04517i	0.145039	+	0.199629i
$918$	13.4022	+	4.55889i	0.442338	+	0.150466i
$919$	−31.5660	−	10.2564i	−1.04127	−	0.338328i	−0.262030	−	0.965060i	$-0.584392\pi$
$919$	−31.5660	−	10.2564i	−1.04127	−	0.338328i	−0.779235	+	0.626732i	$0.784392\pi$
$920$	−0.382473	+	0.277883i	−0.0126098	+	0.00916152i
$921$	3.96464	−	36.1305i	0.130639	−	1.19054i
$922$	0.619903	+	1.90787i	0.0204154	+	0.0628322i
$923$	−70.5646			−2.32266
$924$	4.13290	+	3.98988i	0.135963	+	0.131257i
$925$	3.08174			0.101327
$926$	−6.94788	−	21.3834i	−0.228322	−	0.702702i
$927$	2.99813	−	1.30212i	0.0984716	−	0.0427673i
$928$	−5.12098	+	3.72061i	−0.168104	+	0.122135i
$929$	26.2935	+	8.54327i	0.862662	+	0.280296i	0.706740	−	0.707474i	$-0.250165\pi$
$929$	26.2935	+	8.54327i	0.862662	+	0.280296i	0.155922	+	0.987769i	$0.450165\pi$
$930$	2.29638	−	0.477143i	0.0753014	−	0.0156461i
$931$	−3.45842	−	4.76011i	−0.113345	−	0.156006i
$932$	0.843104	+	0.612551i	0.0276168	+	0.0200648i
$933$	8.83070	−	9.71772i	0.289104	−	0.318144i
$934$		−	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	0.00597291	−	0.999982i	$-0.498099\pi$
$937$	18.3228	−	5.95344i	0.598580	−	0.194490i	0.592607	+	0.805492i	$0.298099\pi$
$938$	−5.51758	+	7.59430i	−0.180155	+	0.247963i
$939$	0.468298	−	1.03900i	0.0152823	−	0.0339064i
$940$	−0.132322	+	0.407246i	−0.00431588	+	0.0132829i
$941$	−12.7583	+	39.2661i	−0.415910	+	1.28004i	0.495525	+	0.868594i	$0.334976\pi$
$941$	−12.7583	+	39.2661i	−0.415910	+	1.28004i	−0.911435	+	0.411445i	$0.865024\pi$
$942$	1.26597	−	2.80876i	0.0412475	−	0.0915145i
$943$	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	$0.955543\pi$
$948$	−10.6838	+	11.7570i	−0.346995	+	0.381850i
$949$	−0.550463	−	0.399935i	−0.0178688	−	0.0129824i
$950$	17.2029	+	23.6778i	0.558136	+	0.768209i
$951$	29.0583	−	6.03774i	0.942280	−	0.195787i
$952$	2.59105	+	0.841882i	0.0839763	+	0.0272856i
$953$	23.6082	−	17.1523i	0.764744	−	0.555619i	−0.135618	−	0.990761i	$-0.543302\pi$
$953$	23.6082	−	17.1523i	0.764744	−	0.555619i	0.900362	+	0.435142i	$0.143302\pi$
$954$	−3.10085	−	7.13970i	−0.100394	−	0.231156i
$955$	−1.29221	−	3.97700i	−0.0418148	−	0.128693i
$956$	−21.3316			−0.689914
$957$	35.8090	−	6.31974i	1.15754	−	0.204288i
$958$	24.7841			0.800738
$959$	1.34904	+	4.15192i	0.0435628	+	0.134072i
$960$	0.0303426	−	0.276517i	0.000979303	−	0.00892455i
$961$	−32.4328	+	23.5638i	−1.04622	+	0.760124i
$962$	3.94270	+	1.28106i	0.127118	+	0.0413031i
$963$	16.5835	+	18.7602i	0.534397	+	0.604540i
$964$	−7.18747	−	9.89270i	−0.231493	−	0.318623i
$965$	−0.326085	−	0.236914i	−0.0104970	−	0.00762654i
$966$	−3.77329	−	3.42886i	−0.121403	−	0.110322i
$967$		−	32.6733i		−	1.05070i	−0.850886	−	0.525351i	$-0.823934\pi$
$967$		−	32.6733i		−	1.05070i	0.850886	−	0.525351i	$-0.176066\pi$
$968$	−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	$-0.655950\pi$
$971$	16.0175	−	22.0462i	0.514027	−	0.707497i	0.984592	+	0.174868i	$0.0559500\pi$
$972$	15.5363	−	1.27446i	0.498326	−	0.0408785i
$973$	6.40031	−	19.6981i	0.205185	−	0.631493i
$974$	−7.22107	+	22.2242i	−0.231378	+	0.712108i
$975$	−52.5582	−	23.6891i	−1.68321	−	0.758657i
$976$	−4.74733	+	6.53414i	−0.151958	+	0.209153i
$977$	−34.2685	+	11.1345i	−1.09635	+	0.356224i	−0.800695	−	0.599072i	$-0.795536\pi$
$977$	−34.2685	+	11.1345i	−1.09635	+	0.356224i	−0.295651	+	0.955296i	$0.595536\pi$
$978$	25.8551	−	14.7702i	0.826755	−	0.472298i
$979$	16.9061	−	47.1413i	0.540320	−	1.50664i
$980$		−	0.160605i		−	0.00513035i
$981$	0.497971	−	2.24172i	0.0158990	−	0.0715727i
$982$	11.4997	+	8.35505i	0.366971	+	0.266620i
$983$	28.8851	+	39.7569i	0.921292	+	1.26805i	0.963161	+	0.268926i	$0.0866688\pi$
$983$	28.8851	+	39.7569i	0.921292	+	1.26805i	−0.0418690	+	0.999123i	$0.513331\pi$
$984$	1.93732	+	9.32389i	0.0617595	+	0.297235i
$985$	−1.09144	−	0.354631i	−0.0347762	−	0.0112995i
$986$	13.9515	−	10.1364i	0.444307	−	0.322808i
$987$	−4.59042	−	0.503712i	−0.146115	−	0.0160333i
$988$	12.1663	+	37.4439i	0.387061	+	1.19125i
$989$	−7.09554			−0.225625
$990$	−0.852796	+	1.35143i	−0.0271037	+	0.0429512i
$991$	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
$993$	−19.9938	−	2.19395i	−0.634485	−	0.0696229i
$994$	−8.53157	+	6.19855i	−0.270605	+	0.196606i
$995$	1.98004	+	0.643355i	0.0627716	+	0.0203957i
$996$	−5.00749	−	24.1000i	−0.158669	−	0.763636i
$997$	28.5607	+	39.3105i	0.904528	+	1.24498i	0.969001	+	0.247056i	$0.0794632\pi$
$997$	28.5607	+	39.3105i	0.904528	+	1.24498i	−0.0644734	+	0.997919i	$0.520537\pi$
$998$	31.5546	+	22.9258i	0.998843	+	0.725702i
$999$	3.07505	−	0.952694i	0.0972902	−	0.0301419i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.1	✓	48	1.1	even	1	trivial
462.2.w.a.365.1	yes	48	33.2	even	10	inner
462.2.w.b.281.7	yes	48	3.2	odd	2
462.2.w.b.365.7	yes	48	11.2	odd	10

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)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(-1.72172 - 0.188926i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.152745 + 0.0496298i) q^{5} +(-0.352360 - 1.69583i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.92861 + 0.650555i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(-1.72172 - 0.188926i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.152745 + 0.0496298i) q^{5} +(-0.352360 - 1.69583i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.92861 + 0.650555i) 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} +(-0.253607 - 0.114306i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.841882 + 2.59105i) q^{17} +(0.286277 + 2.98631i) 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} +(1.28185 + 1.16484i) q^{24} +(-4.02422 - 2.92376i) q^{25} +(-3.93309 - 5.41344i) q^{26} +(-4.91934 - 1.67336i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(-5.12098 + 3.72061i) q^{29} +(0.0303426 - 0.276517i) q^{30} +(2.60546 + 8.01878i) q^{31} +1.00000 q^{32} +(-5.16356 - 2.51746i) q^{33} -2.72439 q^{34} +(0.0496298 + 0.152745i) q^{35} +(-2.75168 + 1.19509i) q^{36} +(-0.501222 + 0.364159i) q^{37} +(-5.59585 - 1.81820i) q^{38} +(11.3474 - 2.35778i) q^{39} +(-0.0944015 - 0.129933i) q^{40} +(4.44808 + 3.23172i) q^{41} +(1.16484 - 1.28185i) 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} +(-0.711719 + 1.57907i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(1.53711 - 4.73075i) q^{50} +(1.93900 - 4.30199i) 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} +(6.85373 - 7.54218i) q^{57} +(-5.12098 - 3.72061i) q^{58} +(8.48442 + 11.6778i) q^{59} +(0.272360 - 0.0565910i) q^{60} +(-7.68134 - 2.49582i) q^{61} +(-6.82118 + 4.95588i) q^{62} +(1.19509 + 2.75168i) q^{63} +(0.309017 + 0.951057i) q^{64} -1.07467 q^{65} +(0.798618 - 5.68878i) q^{66} +9.38707 q^{67} +(-0.841882 - 2.59105i) q^{68} +(-0.556128 + 5.06809i) q^{69} +(-0.129933 + 0.0944015i) q^{70} +(10.0295 + 3.25877i) q^{71} +(-1.98691 - 2.24771i) q^{72} +(0.0597686 + 0.0822645i) q^{73} +(-0.501222 - 0.364159i) q^{74} +(6.37618 + 5.79417i) 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} +(8.15356 + 3.81045i) q^{81} +(-1.69901 + 5.22903i) q^{82} +(4.39153 - 13.5157i) q^{83} +(1.57907 + 0.711719i) 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} +(-0.104483 + 0.470351i) q^{90} +(-5.41344 - 3.93309i) q^{91} +(1.73022 + 2.38144i) q^{92} +(-2.97090 - 14.2983i) q^{93} +(2.53569 + 0.823897i) q^{94} +(-0.764500 + 0.555442i) q^{95} +(-1.72172 - 0.188926i) q^{96} +(-3.20306 - 9.85801i) q^{97} -1.00000 q^{98} +(8.41458 + 5.30988i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

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