LMFDB - Embedded newform 546.2.bu.a.449.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [546,2,Mod(71,546)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(546, base_ring=CyclotomicField(12))

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

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

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

chi := DirichletCharacter("546.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 546 = 2 \cdot 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	546.bu (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.35983195036$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			449.1
Character	$\chi$	$=$	546.449
Dual form			546.2.bu.a.197.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.258819 - 0.965926i) q^{2} +(-1.73063 + 0.0700467i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.88717 - 2.88717i) q^{5} +(0.515581 + 1.65353i) q^{6} +(0.965926 + 0.258819i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.99019 - 0.242450i) q^{9} +O(q^{10})$	\(q+(-0.258819 - 0.965926i) q^{2} +(-1.73063 + 0.0700467i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.88717 - 2.88717i) q^{5} +(0.515581 + 1.65353i) q^{6} +(0.965926 + 0.258819i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.99019 - 0.242450i) q^{9} +(-3.53605 - 2.04154i) q^{10} +(-0.842051 + 0.225627i) q^{11} +(1.46375 - 0.925979i) q^{12} +(3.56233 + 0.556602i) q^{13} -1.00000i q^{14} +(-4.79440 + 5.19887i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.95846 + 3.39216i) q^{17} +(-1.00811 - 2.82555i) q^{18} +(-0.0297774 + 0.111131i) q^{19} +(-1.05678 + 3.94395i) q^{20} +(-1.68979 - 0.380261i) q^{21} +(0.435878 + 0.754962i) q^{22} +(2.17326 - 3.76420i) q^{23} +(-1.27327 - 1.17421i) q^{24} -11.6715i q^{25} +(-0.384362 - 3.58501i) q^{26} +(-5.15794 + 0.629046i) q^{27} +(-0.965926 + 0.258819i) q^{28} +(1.16799 + 0.674338i) q^{29} +(6.26261 + 3.28547i) q^{30} +(1.36887 + 1.36887i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(1.44148 - 0.449460i) q^{33} +(2.76969 - 2.76969i) q^{34} +(3.53605 - 2.04154i) q^{35} +(-2.46835 + 1.70506i) q^{36} +(-1.56223 - 5.83031i) q^{37} +0.115051 q^{38} +(-6.20408 - 0.713745i) q^{39} +4.08308 q^{40} +(-2.40225 - 8.96532i) q^{41} +(0.0700467 + 1.73063i) q^{42} +(-5.15560 + 2.97658i) q^{43} +(0.616424 - 0.616424i) q^{44} +(7.93319 - 9.33318i) q^{45} +(-4.19842 - 1.12496i) q^{46} +(-8.16800 - 8.16800i) q^{47} +(-0.804655 + 1.53380i) q^{48} +(0.866025 + 0.500000i) q^{49} +(-11.2738 + 3.02081i) q^{50} +(-3.62699 - 5.73340i) q^{51} +(-3.36337 + 1.29913i) q^{52} -0.161836i q^{53} +(1.94258 + 4.81937i) q^{54} +(-1.77972 + 3.08257i) q^{55} +(0.500000 + 0.866025i) q^{56} +(0.0437494 - 0.194412i) q^{57} +(0.349063 - 1.30272i) q^{58} +(0.0250135 - 0.0933515i) q^{59} +(1.55264 - 6.89956i) q^{60} +(6.92750 + 11.9988i) q^{61} +(0.967936 - 1.67651i) q^{62} +(2.95105 + 0.539728i) q^{63} +1.00000i q^{64} +(11.8921 - 8.67805i) q^{65} +(-0.807227 - 1.27603i) q^{66} +(15.2291 - 4.08063i) q^{67} +(-3.39216 - 1.95846i) q^{68} +(-3.49745 + 6.66668i) q^{69} +(-2.88717 - 2.88717i) q^{70} +(4.81143 + 1.28922i) q^{71} +(2.28582 + 1.94294i) q^{72} +(-7.81198 + 7.81198i) q^{73} +(-5.22732 + 3.01799i) q^{74} +(0.817552 + 20.1991i) q^{75} +(-0.0297774 - 0.111131i) q^{76} -0.871755 q^{77} +(0.916308 + 6.17741i) q^{78} -9.72142 q^{79} +(-1.05678 - 3.94395i) q^{80} +(8.88244 - 1.44994i) q^{81} +(-8.03809 + 4.64079i) q^{82} +(0.690982 - 0.690982i) q^{83} +(1.65353 - 0.515581i) q^{84} +(15.4482 + 4.13933i) q^{85} +(4.20953 + 4.20953i) q^{86} +(-2.06860 - 1.08522i) q^{87} +(-0.754962 - 0.435878i) q^{88} +(-8.60332 + 2.30525i) q^{89} +(-11.0684 - 5.24727i) q^{90} +(3.29689 + 1.45964i) q^{91} +4.34652i q^{92} +(-2.46489 - 2.27312i) q^{93} +(-5.77565 + 10.0037i) q^{94} +(0.234881 + 0.406826i) q^{95} +(1.68979 + 0.380261i) q^{96} +(-0.809999 + 3.02296i) q^{97} +(0.258819 - 0.965926i) q^{98} +(-2.46319 + 0.878822i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) $ 56 * q - 8 * q^6 + 24 * q^9	$ 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) $ 56 * q - 8 * q^6 + 24 * q^9 + 24 * q^10 - 8 * q^11 + 24 * q^13 - 4 * q^15 + 28 * q^16 + 4 * q^17 + 8 * q^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 16 * q^79 + 12 * q^81 + 4 * q^83 - 4 * q^84 + 32 * q^85 + 16 * q^86 + 144 * q^87 - 88 * q^89 + 8 * q^90 - 8 * q^91 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/546\mathbb{Z}\right)^\times$.

$n$	$157$	$365$	$379$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{12}\right)$

Coefficient data

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

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

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

$2$	−0.258819	−	0.965926i	−0.183013	−	0.683013i
$2$	−0.258819	−	0.965926i	−0.183013	−	0.683013i
$3$	−1.73063	+	0.0700467i	−0.999182	+	0.0404415i
$3$	−1.73063	+	0.0700467i	−0.999182	+	0.0404415i
$4$	−0.866025	+	0.500000i	−0.433013	+	0.250000i
$5$	2.88717	−	2.88717i	1.29118	−	1.29118i	0.357127	−	0.934056i	$-0.383756\pi$
$5$	2.88717	−	2.88717i	1.29118	−	1.29118i	0.934056	−	0.357127i	$-0.116244\pi$
$6$	0.515581	+	1.65353i	0.210485	+	0.675053i
$7$	0.965926	+	0.258819i	0.365086	+	0.0978244i
$7$	0.965926	+	0.258819i	0.365086	+	0.0978244i
$8$	0.707107	+	0.707107i	0.250000	+	0.250000i
$9$	2.99019	−	0.242450i	0.996729	−	0.0808168i
$10$	−3.53605	−	2.04154i	−1.11820	−	0.645591i
$11$	−0.842051	+	0.225627i	−0.253888	+	0.0680291i	−0.383518	−	0.923533i	$-0.625288\pi$
$11$	−0.842051	+	0.225627i	−0.253888	+	0.0680291i	0.129630	+	0.991562i	$0.458621\pi$
$12$	1.46375	−	0.925979i	0.422548	−	0.267307i
$13$	3.56233	+	0.556602i	0.988013	+	0.154374i
$13$	3.56233	+	0.556602i	0.988013	+	0.154374i
$14$		−	1.00000i		−	0.267261i
$15$	−4.79440	+	5.19887i	−1.23791	+	1.34234i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	1.95846	+	3.39216i	0.474997	+	0.822720i	0.999590	−	0.0286338i	$-0.00911565\pi$
$17$	1.95846	+	3.39216i	0.474997	+	0.822720i	−0.524593	+	0.851353i	$0.675782\pi$
$18$	−1.00811	−	2.82555i	−0.237613	−	0.665988i
$19$	−0.0297774	+	0.111131i	−0.00683140	+	0.0254951i	−0.969257	−	0.246049i	$-0.920868\pi$
$19$	−0.0297774	+	0.111131i	−0.00683140	+	0.0254951i	0.962426	+	0.271544i	$0.0875343\pi$
$20$	−1.05678	+	3.94395i	−0.236303	+	0.881894i
$21$	−1.68979	−	0.380261i	−0.368743	−	0.0829798i
$22$	0.435878	+	0.754962i	0.0929294	+	0.160958i
$23$	2.17326	−	3.76420i	0.453156	−	0.784890i	−0.545424	−	0.838160i	$-0.683631\pi$
$23$	2.17326	−	3.76420i	0.453156	−	0.784890i	0.998580	+	0.0532707i	$0.0169646\pi$
$24$	−1.27327	−	1.17421i	−0.259906	−	0.239685i
$25$		−	11.6715i		−	2.33431i
$26$	−0.384362	−	3.58501i	−0.0753796	−	0.703077i
$27$	−5.15794	+	0.629046i	−0.992645	+	0.121060i
$28$	−0.965926	+	0.258819i	−0.182543	+	0.0489122i
$29$	1.16799	+	0.674338i	0.216890	+	0.125222i	0.604509	−	0.796598i	$-0.293369\pi$
$29$	1.16799	+	0.674338i	0.216890	+	0.125222i	−0.387619	+	0.921820i	$0.626703\pi$
$30$	6.26261	+	3.28547i	1.14339	+	0.599842i
$31$	1.36887	+	1.36887i	0.245856	+	0.245856i	0.819268	−	0.573412i	$-0.194380\pi$
$31$	1.36887	+	1.36887i	0.245856	+	0.245856i	−0.573412	+	0.819268i	$0.694380\pi$
$32$	−0.965926	−	0.258819i	−0.170753	−	0.0457532i
$33$	1.44148	−	0.449460i	0.250929	−	0.0782410i
$34$	2.76969	−	2.76969i	0.474997	−	0.474997i
$35$	3.53605	−	2.04154i	0.597701	−	0.345083i
$36$	−2.46835	+	1.70506i	−0.411392	+	0.284177i
$37$	−1.56223	−	5.83031i	−0.256829	−	0.958498i	−0.967064	−	0.254533i	$-0.918078\pi$
$37$	−1.56223	−	5.83031i	−0.256829	−	0.958498i	0.710235	−	0.703964i	$-0.248589\pi$
$38$	0.115051			0.0186637
$39$	−6.20408	−	0.713745i	−0.993447	−	0.114291i
$40$	4.08308			0.645591
$41$	−2.40225	−	8.96532i	−0.375169	−	1.40015i	−0.853098	−	0.521750i	$-0.825279\pi$
$41$	−2.40225	−	8.96532i	−0.375169	−	1.40015i	0.477930	−	0.878398i	$-0.341387\pi$
$42$	0.0700467	+	1.73063i	0.0108084	+	0.267043i
$43$	−5.15560	+	2.97658i	−0.786221	+	0.453925i	−0.838630	−	0.544701i	$-0.816643\pi$
$43$	−5.15560	+	2.97658i	−0.786221	+	0.453925i	0.0524096	+	0.998626i	$0.483310\pi$
$44$	0.616424	−	0.616424i	0.0929294	−	0.0929294i
$45$	7.93319	−	9.33318i	1.18261	−	1.39131i
$46$	−4.19842	−	1.12496i	−0.619023	−	0.165867i
$47$	−8.16800	−	8.16800i	−1.19143	−	1.19143i	−0.976667	−	0.214758i	$-0.931104\pi$
$47$	−8.16800	−	8.16800i	−1.19143	−	1.19143i	−0.214758	−	0.976667i	$-0.568896\pi$
$48$	−0.804655	+	1.53380i	−0.116142	+	0.221384i
$49$	0.866025	+	0.500000i	0.123718	+	0.0714286i
$50$	−11.2738	+	3.02081i	−1.59436	+	0.427207i
$51$	−3.62699	−	5.73340i	−0.507881	−	0.802837i
$52$	−3.36337	+	1.29913i	−0.466415	+	0.180157i
$53$		−	0.161836i		−	0.0222298i	−0.999938	−	0.0111149i	$-0.996462\pi$
$53$		−	0.161836i		−	0.0222298i	0.999938	−	0.0111149i	$-0.00353806\pi$
$54$	1.94258	+	4.81937i	0.264352	+	0.655834i
$55$	−1.77972	+	3.08257i	−0.239978	+	0.415654i
$56$	0.500000	+	0.866025i	0.0668153	+	0.115728i
$57$	0.0437494	−	0.194412i	0.00579475	−	0.0257505i
$58$	0.349063	−	1.30272i	0.0458343	−	0.171056i
$59$	0.0250135	−	0.0933515i	0.00325648	−	0.0121533i	−0.964278	−	0.264891i	$-0.914664\pi$
$59$	0.0250135	−	0.0933515i	0.00325648	−	0.0121533i	0.967535	+	0.252737i	$0.0813308\pi$
$60$	1.55264	−	6.89956i	0.200444	−	0.890729i
$61$	6.92750	+	11.9988i	0.886975	+	1.53629i	0.843433	+	0.537234i	$0.180531\pi$
$61$	6.92750	+	11.9988i	0.886975	+	1.53629i	0.0435421	+	0.999052i	$0.486136\pi$
$62$	0.967936	−	1.67651i	0.122928	−	0.212918i
$63$	2.95105	+	0.539728i	0.371797	+	0.0679994i
$64$			1.00000i			0.125000i
$65$	11.8921	−	8.67805i	1.47503	−	1.07638i
$66$	−0.807227	−	1.27603i	−0.0993628	−	0.157069i
$67$	15.2291	−	4.08063i	1.86053	−	0.498528i	0.860590	−	0.509298i	$-0.170095\pi$
$67$	15.2291	−	4.08063i	1.86053	−	0.498528i	0.999942	+	0.0107703i	$0.00342836\pi$
$68$	−3.39216	−	1.95846i	−0.411360	−	0.237499i
$69$	−3.49745	+	6.66668i	−0.421043	+	0.802574i
$70$	−2.88717	−	2.88717i	−0.345083	−	0.345083i
$71$	4.81143	+	1.28922i	0.571011	+	0.153002i	0.532760	−	0.846266i	$-0.321155\pi$
$71$	4.81143	+	1.28922i	0.571011	+	0.153002i	0.0382509	+	0.999268i	$0.487821\pi$
$72$	2.28582	+	1.94294i	0.269386	+	0.228978i
$73$	−7.81198	+	7.81198i	−0.914323	+	0.914323i	−0.996609	−	0.0822856i	$-0.973778\pi$
$73$	−7.81198	+	7.81198i	−0.914323	+	0.914323i	0.0822856	+	0.996609i	$0.473778\pi$
$74$	−5.22732	+	3.01799i	−0.607663	+	0.350835i
$75$	0.817552	+	20.1991i	0.0944028	+	2.33240i
$76$	−0.0297774	−	0.111131i	−0.00341570	−	0.0127476i
$77$	−0.871755			−0.0993457
$78$	0.916308	+	6.17741i	0.103751	+	0.699454i
$79$	−9.72142			−1.09375			−0.546873	−	0.837216i	$-0.684182\pi$
$79$	−9.72142			−1.09375			−0.546873	+	0.837216i	$0.684182\pi$
$80$	−1.05678	−	3.94395i	−0.118151	−	0.440947i
$81$	8.88244	−	1.44994i	0.986937	−	0.161105i
$82$	−8.03809	+	4.64079i	−0.887658	+	0.512490i
$83$	0.690982	−	0.690982i	0.0758451	−	0.0758451i	−0.668167	−	0.744012i	$-0.732921\pi$
$83$	0.690982	−	0.690982i	0.0758451	−	0.0758451i	0.744012	+	0.668167i	$0.232921\pi$
$84$	1.65353	−	0.515581i	0.180415	−	0.0562545i
$85$	15.4482	+	4.13933i	1.67559	+	0.448973i
$86$	4.20953	+	4.20953i	0.453925	+	0.453925i
$87$	−2.06860	−	1.08522i	−0.221777	−	0.116348i
$88$	−0.754962	−	0.435878i	−0.0804792	−	0.0464647i
$89$	−8.60332	+	2.30525i	−0.911950	+	0.244356i	−0.684141	−	0.729350i	$-0.739823\pi$
$89$	−8.60332	+	2.30525i	−0.911950	+	0.244356i	−0.227809	+	0.973706i	$0.573156\pi$
$90$	−11.0684	−	5.24727i	−1.16671	−	0.553110i
$91$	3.29689	+	1.45964i	0.345608	+	0.153011i
$92$			4.34652i			0.453156i
$93$	−2.46489	−	2.27312i	−0.255598	−	0.235712i
$94$	−5.77565	+	10.0037i	−0.595713	+	1.03180i
$95$	0.234881	+	0.406826i	0.0240983	+	0.0417394i
$96$	1.68979	+	0.380261i	0.172464	+	0.0388102i
$97$	−0.809999	+	3.02296i	−0.0822430	+	0.306935i	−0.994778	−	0.102064i	$-0.967455\pi$
$97$	−0.809999	+	3.02296i	−0.0822430	+	0.306935i	0.912535	+	0.408999i	$0.134122\pi$
$98$	0.258819	−	0.965926i	0.0261447	−	0.0975732i
$99$	−2.46319	+	0.878822i	−0.247560	+	0.0883249i
$100$	5.83576	+	10.1078i	0.583576	+	1.01078i
$101$	−7.16549	+	12.4110i	−0.712992	+	1.23494i	0.250736	+	0.968055i	$0.419327\pi$
$101$	−7.16549	+	12.4110i	−0.712992	+	1.23494i	−0.963729	+	0.266884i	$0.914006\pi$
$102$	−4.59931	+	4.98732i	−0.455399	+	0.493818i
$103$			4.34254i			0.427883i	0.976846	+	0.213942i	$0.0686302\pi$
$103$			4.34254i			0.427883i	−0.976846	+	0.213942i	$0.931370\pi$
$104$	2.12537	+	2.91252i	0.208410	+	0.285597i
$105$	−5.97660	+	3.78085i	−0.583257	+	0.368973i
$106$	−0.156321	+	0.0418861i	−0.0151833	+	0.00406834i
$107$	7.42949	+	4.28942i	0.718236	+	0.414674i	0.814103	−	0.580721i	$-0.197229\pi$
$107$	7.42949	+	4.28942i	0.718236	+	0.414674i	−0.0958673	+	0.995394i	$0.530562\pi$
$108$	4.15238	−	3.12374i	0.399563	−	0.300582i
$109$	0.391997	+	0.391997i	0.0375465	+	0.0375465i	0.725631	−	0.688084i	$-0.241548\pi$
$109$	0.391997	+	0.391997i	0.0375465	+	0.0375465i	−0.688084	+	0.725631i	$0.741548\pi$
$110$	3.43816	+	0.921252i	0.327816	+	0.0878379i
$111$	3.11204	+	9.98071i	0.295382	+	0.947327i
$112$	0.707107	−	0.707107i	0.0668153	−	0.0668153i
$113$	8.23216	−	4.75284i	0.774416	−	0.447109i	−0.0600315	−	0.998196i	$-0.519120\pi$
$113$	8.23216	−	4.75284i	0.774416	−	0.447109i	0.834448	+	0.551087i	$0.185787\pi$
$114$	−0.199111	+	0.00805894i	−0.0186484	+	0.000754789i
$115$	−4.59331	−	17.1425i	−0.428328	−	1.59854i
$116$	−1.34868			−0.125222
$117$	10.7870	+	0.800656i	0.997257	+	0.0740207i
$118$	−0.0966446			−0.00889686
$119$	1.01378	+	3.78346i	0.0929327	+	0.346829i
$120$	−7.06631	+	0.286006i	−0.645063	+	0.0261087i
$121$	−8.86814	+	5.12002i	−0.806194	+	0.465456i
$122$	9.79696	−	9.79696i	0.886975	−	0.886975i
$123$	4.78541	+	15.3474i	0.431486	+	1.38383i
$124$	−1.86991	−	0.501041i	−0.167923	−	0.0449948i
$125$	−19.2618	−	19.2618i	−1.72283	−	1.72283i
$126$	−0.242450	−	2.99019i	−0.0215992	−	0.266387i
$127$	6.15986	+	3.55640i	0.546599	+	0.315579i	0.747749	−	0.663981i	$-0.231135\pi$
$127$	6.15986	+	3.55640i	0.546599	+	0.315579i	−0.201150	+	0.979560i	$0.564468\pi$
$128$	0.965926	−	0.258819i	0.0853766	−	0.0228766i
$129$	8.71395	−	5.51251i	0.767220	−	0.485349i
$130$	−11.4602	−	9.24081i	−1.00513	−	0.810473i
$131$			18.7794i			1.64077i	0.571815	+	0.820383i	$0.306240\pi$
$131$			18.7794i			1.64077i	−0.571815	+	0.820383i	$0.693760\pi$
$132$	−1.02363	+	1.10998i	−0.0890952	+	0.0966116i
$133$	−0.0575254	+	0.0996370i	−0.00498809	+	0.00863962i
$134$	−7.88317	−	13.6540i	−0.681002	−	1.17953i
$135$	−13.0757	+	16.7080i	−1.12538	+	1.43800i
$136$	−1.01378	+	3.78346i	−0.0869306	+	0.324429i
$137$	4.74128	−	17.6947i	0.405075	−	1.51176i	−0.398844	−	0.917019i	$-0.630588\pi$
$137$	4.74128	−	17.6947i	0.405075	−	1.51176i	0.803918	−	0.594740i	$-0.202745\pi$
$138$	7.34473	+	1.65281i	0.625225	+	0.140697i
$139$	−3.01558	−	5.22313i	−0.255778	−	0.443020i	0.709329	−	0.704878i	$-0.248998\pi$
$139$	−3.01558	−	5.22313i	−0.255778	−	0.443020i	−0.965107	+	0.261858i	$0.915665\pi$
$140$	−2.04154	+	3.53605i	−0.172542	+	0.298851i
$141$	14.7080	+	13.5637i	1.23863	+	1.14227i
$142$		−	4.98116i		−	0.418009i
$143$	−3.12525	+	0.335070i	−0.261346	+	0.0280199i
$144$	1.28513	−	2.71080i	0.107094	−	0.225900i
$145$	5.31911	−	1.42525i	0.441728	−	0.118361i
$146$	9.56768	+	5.52390i	0.791827	+	0.457162i
$147$	−1.53380	−	0.804655i	−0.126505	−	0.0663668i
$148$	4.26809	+	4.26809i	0.350835	+	0.350835i
$149$	−18.5784	−	4.97807i	−1.52200	−	0.407819i	−0.601602	−	0.798796i	$-0.705471\pi$
$149$	−18.5784	−	4.97807i	−1.52200	−	0.407819i	−0.920401	+	0.390976i	$0.872137\pi$
$150$	19.2993	−	6.01762i	1.57578	−	0.491336i
$151$	2.29679	−	2.29679i	0.186910	−	0.186910i	−0.607449	−	0.794359i	$-0.707807\pi$
$151$	2.29679	−	2.29679i	0.186910	−	0.186910i	0.794359	+	0.607449i	$0.207807\pi$
$152$	−0.0996370	+	0.0575254i	−0.00808163	+	0.00466593i
$153$	6.67861	+	9.66836i	0.539933	+	0.781641i
$154$	0.225627	+	0.842051i	0.0181815	+	0.0678544i
$155$	7.90432			0.634890
$156$	5.72976	−	2.48392i	0.458748	−	0.198873i
$157$	22.1469			1.76752			0.883758	−	0.467945i	$-0.155005\pi$
$157$	22.1469			1.76752			0.883758	+	0.467945i	$0.155005\pi$
$158$	2.51609	+	9.39017i	0.200169	+	0.747042i
$159$	0.0113361	+	0.280078i	0.000899008	+	0.0222116i
$160$	−3.53605	+	2.04154i	−0.279549	+	0.161398i
$161$	3.07346	−	3.07346i	0.242222	−	0.242222i
$162$	−3.69948	−	8.20450i	−0.290659	−	0.644606i
$163$	13.8839	+	3.72018i	1.08747	+	0.291387i	0.757652	−	0.652658i	$-0.226346\pi$
$163$	13.8839	+	3.72018i	1.08747	+	0.291387i	0.329817	+	0.944045i	$0.393013\pi$
$164$	6.56307	+	6.56307i	0.512490	+	0.512490i
$165$	2.86412	−	5.45946i	0.222972	−	0.425019i
$166$	−0.846276	−	0.488598i	−0.0656838	−	0.0379225i
$167$	−16.9617	+	4.54487i	−1.31254	+	0.351693i	−0.846176	−	0.532903i	$-0.821101\pi$
$167$	−16.9617	+	4.54487i	−1.31254	+	0.351693i	−0.466359	+	0.884596i	$0.654434\pi$
$168$	−0.925979	−	1.46375i	−0.0714408	−	0.112931i
$169$	12.3804	+	3.96560i	0.952338	+	0.305046i
$170$		−	15.9931i		−	1.22662i
$171$	−0.0620962	+	0.339521i	−0.00474862	+	0.0259638i
$172$	2.97658	−	5.15560i	0.226962	−	0.393110i
$173$	−5.39796	−	9.34954i	−0.410399	−	0.710832i	0.584534	−	0.811369i	$-0.301277\pi$
$173$	−5.39796	−	9.34954i	−0.410399	−	0.710832i	−0.994933	+	0.100537i	$0.967944\pi$
$174$	−0.512849	+	2.27899i	−0.0388790	+	0.172769i
$175$	3.02081	−	11.2738i	0.228352	−	0.852221i
$176$	−0.225627	+	0.842051i	−0.0170073	+	0.0634720i
$177$	−0.0367502	+	0.163309i	−0.00276231	+	0.0122751i
$178$	4.45341	+	7.71353i	0.333797	+	0.578153i
$179$	2.08549	−	3.61218i	0.155877	−	0.269987i	−0.777501	−	0.628882i	$-0.783513\pi$
$179$	2.08549	−	3.61218i	0.155877	−	0.269987i	0.933378	+	0.358895i	$0.116846\pi$
$180$	−2.20375	+	12.0494i	−0.164258	+	0.898107i
$181$		−	0.322541i		−	0.0239743i	−0.999928	−	0.0119872i	$-0.996184\pi$
$181$		−	0.322541i		−	0.0239743i	0.999928	−	0.0119872i	$-0.00381572\pi$
$182$	0.556602	−	3.56233i	0.0412581	−	0.264057i
$183$	−12.8294	−	20.2802i	−0.948379	−	1.49916i
$184$	4.19842	−	1.12496i	0.309512	−	0.0829334i
$185$	−21.3435	−	12.3227i	−1.56921	−	0.905983i
$186$	−1.55771	+	2.96923i	−0.114217	+	0.217715i
$187$	−2.41449	−	2.41449i	−0.176565	−	0.176565i
$188$	11.1577	+	2.98970i	0.813759	+	0.218046i
$189$	−5.14499	−	0.727360i	−0.374243	−	0.0529077i
$190$	0.332172	−	0.332172i	0.0240983	−	0.0240983i
$191$	0.762586	−	0.440279i	0.0551788	−	0.0318575i	−0.472157	−	0.881515i	$-0.656524\pi$
$191$	0.762586	−	0.440279i	0.0551788	−	0.0318575i	0.527336	+	0.849657i	$0.323191\pi$
$192$	−0.0700467	−	1.73063i	−0.00505519	−	0.124898i
$193$	−3.00580	−	11.2178i	−0.216362	−	0.807474i	−0.985683	−	0.168611i	$-0.946072\pi$
$193$	−3.00580	−	11.2178i	−0.216362	−	0.807474i	0.769321	−	0.638863i	$-0.220595\pi$
$194$	3.12960			0.224692
$195$	−19.9729	+	15.8515i	−1.43029	+	1.13515i
$196$	−1.00000			−0.0714286
$197$	5.46039	+	20.3784i	0.389037	+	1.45190i	0.831705	+	0.555218i	$0.187365\pi$
$197$	5.46039	+	20.3784i	0.389037	+	1.45190i	−0.442668	+	0.896686i	$0.645968\pi$
$198$	1.48640	+	2.15180i	0.105634	+	0.152922i
$199$	−13.0082	+	7.51030i	−0.922129	+	0.532391i	−0.884314	−	0.466893i	$-0.845373\pi$
$199$	−13.0082	+	7.51030i	−0.922129	+	0.532391i	−0.0378153	+	0.999285i	$0.512040\pi$
$200$	8.25301	−	8.25301i	0.583576	−	0.583576i
$201$	−26.0702	+	8.12882i	−1.83885	+	0.573363i
$202$	13.8427	+	3.70913i	0.973966	+	0.260973i
$203$	0.953659	+	0.953659i	0.0669337	+	0.0669337i
$204$	6.00777	+	3.15178i	0.420628	+	0.220668i
$205$	−32.8201	−	18.9487i	−2.29226	−	1.32344i
$206$	4.19457	−	1.12393i	0.292250	−	0.0783081i
$207$	5.58583	−	11.7826i	0.388242	−	0.818945i
$208$	2.26320	−	2.80677i	0.156924	−	0.194614i
$209$		−	0.100296i		−	0.00693763i
$210$	5.19887	+	4.79440i	0.358756	+	0.330845i
$211$	5.63408	−	9.75852i	0.387866	−	0.671804i	−0.604296	−	0.796760i	$-0.706546\pi$
$211$	5.63408	−	9.75852i	0.387866	−	0.671804i	0.992162	+	0.124956i	$0.0398789\pi$
$212$	0.0809178	+	0.140154i	0.00555746	+	0.00962580i
$213$	−8.41712	−	1.89414i	−0.576732	−	0.129784i
$214$	2.22037	−	8.28652i	0.151781	−	0.566455i
$215$	−6.29118	+	23.4790i	−0.429055	+	1.60125i
$216$	−4.09201	−	3.20241i	−0.278426	−	0.217896i
$217$	0.967936	+	1.67651i	0.0657078	+	0.113809i
$218$	0.277184	−	0.480096i	0.0187732	−	0.0325162i
$219$	12.9725	−	14.0669i	0.876599	−	0.950552i
$220$		−	3.55944i		−	0.239978i
$221$	5.08861	+	13.1741i	0.342297	+	0.886184i
$222$	8.83517	−	5.58920i	0.592978	−	0.375122i
$223$	24.5334	−	6.57371i	1.64288	−	0.440208i	0.685273	−	0.728286i	$-0.259683\pi$
$223$	24.5334	−	6.57371i	1.64288	−	0.440208i	0.957607	+	0.288078i	$0.0930162\pi$
$224$	−0.866025	−	0.500000i	−0.0578638	−	0.0334077i
$225$	−2.82977	−	34.9000i	−0.188651	−	2.32667i
$226$	−6.72153	−	6.72153i	−0.447109	−	0.447109i
$227$	24.7480	+	6.63121i	1.64258	+	0.440129i	0.957523	−	0.288356i	$-0.0931088\pi$
$227$	24.7480	+	6.63121i	1.64258	+	0.440129i	0.685061	+	0.728486i	$0.259775\pi$
$228$	0.0593180	+	0.190241i	0.00392843	+	0.0125990i
$229$	−18.9072	+	18.9072i	−1.24942	+	1.24942i	−0.293443	+	0.955976i	$0.594801\pi$
$229$	−18.9072	+	18.9072i	−1.24942	+	1.24942i	−0.955976	+	0.293443i	$0.905199\pi$
$230$	−15.3695	+	8.87360i	−1.01344	+	0.585108i
$231$	1.50869	−	0.0610636i	0.0992644	−	0.00401769i
$232$	0.349063	+	1.30272i	0.0229171	+	0.0855279i
$233$	5.73670			0.375824			0.187912	−	0.982186i	$-0.439828\pi$
$233$	5.73670			0.375824			0.187912	+	0.982186i	$0.439828\pi$
$234$	−2.01850	−	10.6266i	−0.131954	−	0.694686i
$235$	−47.1649			−3.07670
$236$	0.0250135	+	0.0933515i	0.00162824	+	0.00607667i
$237$	16.8242	−	0.680954i	1.09285	−	0.0442327i
$238$	3.39216	−	1.95846i	0.219881	−	0.126948i
$239$	−17.1227	+	17.1227i	−1.10757	+	1.10757i	−0.114105	+	0.993469i	$0.536400\pi$
$239$	−17.1227	+	17.1227i	−1.10757	+	1.10757i	−0.993469	+	0.114105i	$0.963600\pi$
$240$	2.10516	+	6.75151i	0.135887	+	0.435808i
$241$	−4.89874	−	1.31261i	−0.315556	−	0.0845529i	0.0975650	−	0.995229i	$-0.468895\pi$
$241$	−4.89874	−	1.31261i	−0.315556	−	0.0845529i	−0.413121	+	0.910676i	$0.635561\pi$
$242$	7.24080	+	7.24080i	0.465456	+	0.465456i
$243$	−15.2707	+	3.13151i	−0.979615	+	0.200886i
$244$	−11.9988	−	6.92750i	−0.768143	−	0.443488i
$245$	3.94395	−	1.05678i	0.251970	−	0.0675151i
$246$	13.5859	−	8.59455i	0.866206	−	0.547969i
$247$	−0.167932	+	0.379310i	−0.0106853	+	0.0241349i
$248$			1.93587i			0.122928i
$249$	−1.14744	+	1.24424i	−0.0727158	+	0.0788503i
$250$	−13.6202	+	23.5908i	−0.861416	+	1.49202i
$251$	9.68826	+	16.7806i	0.611517	+	1.05918i	0.990985	+	0.133974i	$0.0427739\pi$
$251$	9.68826	+	16.7806i	0.611517	+	1.05918i	−0.379467	+	0.925205i	$0.623893\pi$
$252$	−2.82555	+	1.00811i	−0.177993	+	0.0635047i
$253$	−0.980692	+	3.65999i	−0.0616556	+	0.230102i
$254$	1.84093	−	6.87043i	0.115510	−	0.431089i
$255$	−27.0251	−	6.08156i	−1.69238	−	0.380842i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	1.96073	−	3.39609i	0.122307	−	0.211842i	−0.798370	−	0.602167i	$-0.794304\pi$
$257$	1.96073	−	3.39609i	0.122307	−	0.211842i	0.920677	+	0.390325i	$0.127637\pi$
$258$	−7.58001	−	6.99028i	−0.471911	−	0.435196i
$259$		−	6.03599i		−	0.375058i
$260$	−5.95981	+	13.4614i	−0.369611	+	0.834843i
$261$	3.65600	+	1.73322i	0.226301	+	0.107284i
$262$	18.1395	−	4.86047i	1.12066	−	0.300281i
$263$	−13.9023	−	8.02649i	−0.857252	−	0.494935i	0.00583890	−	0.999983i	$-0.498141\pi$
$263$	−13.9023	−	8.02649i	−0.857252	−	0.494935i	−0.863091	+	0.505048i	$0.831475\pi$
$264$	1.33709	+	0.701462i	0.0822925	+	0.0431720i
$265$	−0.467247	−	0.467247i	−0.0287028	−	0.0287028i
$266$	0.111131	+	0.0297774i	0.00681386	+	0.00182577i
$267$	14.7277	−	4.59218i	0.901322	−	0.281037i
$268$	−11.1485	+	11.1485i	−0.681002	+	0.681002i
$269$	−24.1952	+	13.9691i	−1.47521	+	0.851712i	−0.999609	−	0.0279494i	$-0.991102\pi$
$269$	−24.1952	+	13.9691i	−1.47521	+	0.851712i	−0.475600	+	0.879662i	$0.657769\pi$
$270$	19.5229	+	8.30579i	1.18813	+	0.505474i
$271$	2.05418	+	7.66629i	0.124782	+	0.465694i	0.999832	−	0.0183396i	$-0.00583801\pi$
$271$	2.05418	+	7.66629i	0.124782	+	0.465694i	−0.875050	+	0.484033i	$0.839171\pi$
$272$	3.91693			0.237499
$273$	−5.80795	−	2.29516i	−0.351513	−	0.138909i
$274$	−18.3189			−1.10668
$275$	2.63341	+	9.82802i	0.158801	+	0.592652i
$276$	−0.304460	−	7.52224i	−0.0183263	−	0.452786i
$277$	−8.41618	+	4.85909i	−0.505680	+	0.291954i	−0.731056	−	0.682318i	$-0.760972\pi$
$277$	−8.41618	+	4.85909i	−0.505680	+	0.291954i	0.225376	+	0.974272i	$0.427639\pi$
$278$	−4.26467	+	4.26467i	−0.255778	+	0.255778i
$279$	4.42505	+	3.76129i	0.264921	+	0.225182i
$280$	3.94395	+	1.05678i	0.235696	+	0.0631546i
$281$	2.71928	+	2.71928i	0.162218	+	0.162218i	0.783549	−	0.621330i	$-0.213407\pi$
$281$	2.71928	+	2.71928i	0.162218	+	0.162218i	−0.621330	+	0.783549i	$0.713407\pi$
$282$	9.29481	−	17.7173i	0.553498	−	1.05505i
$283$	−6.69421	−	3.86490i	−0.397929	−	0.229745i	0.287661	−	0.957732i	$-0.407122\pi$
$283$	−6.69421	−	3.86490i	−0.397929	−	0.229745i	−0.685590	+	0.727988i	$0.740456\pi$
$284$	−4.81143	+	1.28922i	−0.285506	+	0.0765010i
$285$	−0.434990	−	0.687613i	−0.0257666	−	0.0407307i
$286$	1.13253	+	2.93203i	0.0669677	+	0.173375i
$287$		−	9.28158i		−	0.547875i
$288$	−2.95105	−	0.539728i	−0.173892	−	0.0318038i
$289$	0.828833	−	1.43558i	0.0487549	−	0.0844460i
$290$	−2.75338	−	4.76899i	−0.161684	−	0.280045i
$291$	1.19006	−	5.28837i	0.0697628	−	0.310010i
$292$	2.85938	−	10.6714i	0.167333	−	0.624494i
$293$	0.396164	−	1.47850i	0.0231441	−	0.0863751i	−0.953388	−	0.301748i	$-0.902430\pi$
$293$	0.396164	−	1.47850i	0.0231441	−	0.0863751i	0.976532	+	0.215373i	$0.0690966\pi$
$294$	−0.380261	+	1.68979i	−0.0221773	+	0.0985507i
$295$	−0.197304	−	0.341740i	−0.0114875	−	0.0198969i
$296$	3.01799	−	5.22732i	0.175417	−	0.303832i
$297$	4.20131	−	1.69346i	0.243785	−	0.0982644i
$298$			19.2338i			1.11418i
$299$	9.83704	−	12.1997i	0.568890	−	0.705525i
$300$	−10.8076	−	17.0842i	−0.623976	−	0.986356i
$301$	−5.75032	+	1.54079i	−0.331443	+	0.0888099i
$302$	−2.81298	−	1.62407i	−0.161869	−	0.0934549i
$303$	11.5315	−	21.9808i	0.662466	−	1.26276i
$304$	0.0813533	+	0.0813533i	0.00466593	+	0.00466593i
$305$	54.6434	+	14.6417i	3.12887	+	0.838379i
$306$	7.61037	−	8.95339i	0.435056	−	0.511831i
$307$	4.42995	−	4.42995i	0.252831	−	0.252831i	−0.569299	−	0.822130i	$-0.692785\pi$
$307$	4.42995	−	4.42995i	0.252831	−	0.252831i	0.822130	+	0.569299i	$0.192785\pi$
$308$	0.754962	−	0.435878i	0.0430180	−	0.0248364i
$309$	−0.304181	−	7.51535i	−0.0173042	−	0.427533i
$310$	−2.04579	−	7.63498i	−0.116193	−	0.433638i
$311$	24.0508			1.36379			0.681897	−	0.731449i	$-0.261155\pi$
$311$	24.0508			1.36379			0.681897	+	0.731449i	$0.261155\pi$
$312$	−3.88225	−	4.89164i	−0.219789	−	0.276935i
$313$	−2.52633			−0.142797			−0.0713983	−	0.997448i	$-0.522746\pi$
$313$	−2.52633			−0.142797			−0.0713983	+	0.997448i	$0.522746\pi$
$314$	−5.73204	−	21.3923i	−0.323478	−	1.20724i
$315$	10.0785	−	6.96190i	0.567858	−	0.392259i
$316$	8.41900	−	4.86071i	0.473606	−	0.273436i
$317$	−6.69332	+	6.69332i	−0.375934	+	0.375934i	−0.869633	−	0.493699i	$-0.835645\pi$
$317$	−6.69332	+	6.69332i	−0.375934	+	0.375934i	0.493699	+	0.869633i	$0.335645\pi$
$318$	0.267601	−	0.0834394i	0.0150063	−	0.00467905i
$319$	−1.13565	−	0.304298i	−0.0635844	−	0.0170374i
$320$	2.88717	+	2.88717i	0.161398	+	0.161398i
$321$	−13.1582	−	6.90300i	−0.734418	−	0.385288i
$322$	−3.76420	−	2.17326i	−0.209771	−	0.121111i
$323$	−0.435291	+	0.116636i	−0.0242202	+	0.00648979i
$324$	−6.96744	+	5.69691i	−0.387080	+	0.316495i
$325$	6.49640	−	41.5778i	0.360355	−	2.30632i
$326$		−	14.3737i		−	0.796083i
$327$	−0.705861	−	0.650945i	−0.0390342	−	0.0359973i
$328$	4.64079	−	8.03809i	0.256245	−	0.443829i
$329$	−5.77565	−	10.0037i	−0.318422	−	0.551523i
$330$	−6.01473	−	1.35352i	−0.331100	−	0.0745087i
$331$	3.85568	−	14.3896i	0.211927	−	0.790923i	−0.775298	−	0.631595i	$-0.782400\pi$
$331$	3.85568	−	14.3896i	0.211927	−	0.790923i	0.987226	−	0.159328i	$-0.0509328\pi$
$332$	−0.252917	+	0.943898i	−0.0138806	+	0.0518032i
$333$	−6.08492	−	17.0550i	−0.333451	−	0.934606i
$334$	8.78002	+	15.2074i	0.480421	+	0.832114i
$335$	32.1876	−	55.7505i	1.75860	−	3.04598i
$336$	−1.17421	+	1.27327i	−0.0640585	+	0.0694628i
$337$		−	11.6165i		−	0.632792i	−0.948627	−	0.316396i	$-0.897527\pi$
$337$		−	11.6165i		−	0.632792i	0.948627	−	0.316396i	$-0.102473\pi$
$338$	0.626198	−	12.9849i	0.0340607	−	0.706286i
$339$	−13.9139	+	8.80206i	−0.755701	+	0.478062i
$340$	−15.4482	+	4.13933i	−0.837795	+	0.224486i
$341$	−1.46151	−	0.843803i	−0.0791452	−	0.0456945i
$342$	0.344024	−	0.0278941i	0.0186027	−	0.00150834i
$343$	0.707107	+	0.707107i	0.0381802	+	0.0381802i
$344$	−5.75032	−	1.54079i	−0.310036	−	0.0830740i
$345$	9.15011	+	29.3456i	0.492626	+	1.57991i
$346$	−7.63386	+	7.63386i	−0.410399	+	0.410399i
$347$	−29.5535	+	17.0627i	−1.58651	+	0.915974i	−0.592638	+	0.805469i	$0.701913\pi$
$347$	−29.5535	+	17.0627i	−1.58651	+	0.915974i	−0.993876	+	0.110505i	$0.964753\pi$
$348$	2.33407	−	0.0944704i	0.125119	−	0.00506415i
$349$	9.04005	+	33.7379i	0.483903	+	1.80595i	0.584952	+	0.811068i	$0.301113\pi$
$349$	9.04005	+	33.7379i	0.483903	+	1.80595i	−0.101049	+	0.994881i	$0.532220\pi$
$350$	−11.6715			−0.623869
$351$	−18.7244	−	0.630050i	−0.999434	−	0.0336296i
$352$	0.871755			0.0464647
$353$	−2.91553	−	10.8809i	−0.155178	−	0.579133i	−0.999090	−	0.0426509i	$-0.986420\pi$
$353$	−2.91553	−	10.8809i	−0.155178	−	0.579133i	0.843912	−	0.536482i	$-0.180247\pi$
$354$	0.167256	−	0.00676964i	0.00888958	−	0.000359802i
$355$	17.6136	−	10.1692i	0.934833	−	0.539726i
$356$	6.29807	−	6.29807i	0.333797	−	0.333797i
$357$	−2.01949	−	6.47678i	−0.106883	−	0.342787i
$358$	−4.02886	−	1.07953i	−0.212932	−	0.0570549i
$359$	16.2023	+	16.2023i	0.855126	+	0.855126i	0.990759	−	0.135633i	$-0.0433068\pi$
$359$	16.2023	+	16.2023i	0.855126	+	0.855126i	−0.135633	+	0.990759i	$0.543307\pi$
$360$	12.2092	−	0.989944i	0.643480	−	0.0521746i
$361$	16.4430	+	9.49338i	0.865422	+	0.499652i
$362$	−0.311551	+	0.0834798i	−0.0163748	+	0.00438760i
$363$	14.9889	−	9.48207i	0.786711	−	0.497679i
$364$	−3.58501	+	0.384362i	−0.187905	+	0.0201461i
$365$			45.1091i			2.36112i
$366$	−16.2687	+	17.6412i	−0.850379	+	0.922120i
$367$	9.99270	−	17.3079i	0.521615	−	0.903463i	−0.478069	−	0.878322i	$-0.658663\pi$
$367$	9.99270	−	17.3079i	0.521615	−	0.903463i	0.999684	−	0.0251410i	$-0.00800348\pi$
$368$	−2.17326	−	3.76420i	−0.113289	−	0.196222i
$369$	−9.35682	−	26.2256i	−0.487097	−	1.36525i
$370$	−6.37870	+	23.8056i	−0.331613	+	1.23760i
$371$	0.0418861	−	0.156321i	0.00217462	−	0.00811579i
$372$	3.27122	+	0.736137i	0.169605	+	0.0381669i
$373$	9.97248	+	17.2728i	0.516356	+	0.894354i	0.999820	+	0.0189899i	$0.00604503\pi$
$373$	9.97248	+	17.2728i	0.516356	+	0.894354i	−0.483464	+	0.875364i	$0.660622\pi$
$374$	−1.70730	+	2.95713i	−0.0882825	+	0.152910i
$375$	34.6844	+	31.9860i	1.79110	+	1.65175i
$376$		−	11.5513i		−	0.595713i
$377$	3.78542	+	3.05232i	0.194959	+	0.157203i
$378$	0.629046	+	5.15794i	0.0323546	+	0.265296i
$379$	−18.3638	+	4.92057i	−0.943286	+	0.252753i	−0.697511	−	0.716574i	$-0.745709\pi$
$379$	−18.3638	+	4.92057i	−0.943286	+	0.252753i	−0.245775	+	0.969327i	$0.579042\pi$
$380$	−0.406826	−	0.234881i	−0.0208697	−	0.0120491i
$381$	−10.9096	−	5.72334i	−0.558914	−	0.293216i
$382$	−0.622649	−	0.622649i	−0.0318575	−	0.0318575i
$383$	−10.4033	−	2.78755i	−0.531583	−	0.142437i	−0.0169637	−	0.999856i	$-0.505400\pi$
$383$	−10.4033	−	2.78755i	−0.531583	−	0.142437i	−0.514619	+	0.857419i	$0.672067\pi$
$384$	−1.65353	+	0.515581i	−0.0843816	+	0.0263106i
$385$	−2.51691	+	2.51691i	−0.128273	+	0.128273i
$386$	−10.0576	+	5.80675i	−0.511918	+	0.295556i
$387$	−14.6945	+	10.1505i	−0.746964	+	0.515980i
$388$	−0.809999	−	3.02296i	−0.0411215	−	0.153467i
$389$	−3.26720			−0.165654			−0.0828268	−	0.996564i	$-0.526395\pi$
$389$	−3.26720			−0.165654			−0.0828268	+	0.996564i	$0.526395\pi$
$390$	20.4808	+	15.1897i	1.03708	+	0.769160i
$391$	17.0250			0.860992
$392$	0.258819	+	0.965926i	0.0130723	+	0.0487866i
$393$	−1.31544	−	32.5003i	−0.0663550	−	1.63942i
$394$	18.2708	−	10.5487i	0.920470	−	0.531434i
$395$	−28.0674	+	28.0674i	−1.41222	+	1.41222i
$396$	1.69377	−	1.99268i	0.0851152	−	0.100136i
$397$	19.5199	+	5.23033i	0.979674	+	0.262503i	0.712907	−	0.701258i	$-0.247378\pi$
$397$	19.5199	+	5.23033i	0.979674	+	0.262503i	0.266766	+	0.963761i	$0.414045\pi$
$398$	10.6212	+	10.6212i	0.532391	+	0.532391i
$399$	0.0925762	−	0.176465i	0.00463461	−	0.00883428i
$400$	−10.1078	−	5.83576i	−0.505392	−	0.291788i
$401$	−11.3347	+	3.03712i	−0.566027	+	0.151666i	−0.530474	−	0.847701i	$-0.677986\pi$
$401$	−11.3347	+	3.03712i	−0.566027	+	0.151666i	−0.0355530	+	0.999368i	$0.511319\pi$
$402$	14.5993	+	23.0780i	0.728147	+	1.15102i
$403$	4.11444	+	5.63828i	0.204955	+	0.280863i
$404$		−	14.3310i		−	0.712992i
$405$	21.4589	−	29.8314i	1.06630	−	1.48233i
$406$	0.674338	−	1.16799i	0.0334669	−	0.0579663i
$407$	2.63095	+	4.55694i	0.130411	+	0.225879i
$408$	1.48946	−	6.61880i	0.0737390	−	0.327679i
$409$	−2.97208	+	11.0919i	−0.146960	+	0.548462i	0.852700	+	0.522400i	$0.174963\pi$
$409$	−2.97208	+	11.0919i	−0.146960	+	0.548462i	−0.999660	+	0.0260615i	$0.991703\pi$
$410$	−9.80858	+	36.6061i	−0.484411	+	1.80785i
$411$	−6.96596	+	30.9551i	−0.343605	+	1.52690i
$412$	−2.17127	−	3.76075i	−0.106971	−	0.185279i
$413$	0.0483223	−	0.0836967i	0.00237778	−	0.00411844i
$414$	−12.8268	−	2.34594i	−0.630403	−	0.115297i
$415$		−	3.98997i		−	0.195860i
$416$	−3.29689	−	1.45964i	−0.161643	−	0.0715645i
$417$	5.58472	+	8.82810i	0.273485	+	0.432314i
$418$	−0.0968787	+	0.0259586i	−0.00473849	+	0.00126968i
$419$	10.7938	+	6.23178i	0.527309	+	0.304442i	0.739920	−	0.672695i	$-0.234863\pi$
$419$	10.7938	+	6.23178i	0.527309	+	0.304442i	−0.212611	+	0.977137i	$0.568197\pi$
$420$	3.28547	−	6.26261i	0.160314	−	0.305584i
$421$	−9.74367	−	9.74367i	−0.474877	−	0.474877i	0.428612	−	0.903489i	$-0.359003\pi$
$421$	−9.74367	−	9.74367i	−0.474877	−	0.474877i	−0.903489	+	0.428612i	$0.859003\pi$
$422$	−10.8842	−	2.91642i	−0.529835	−	0.141969i
$423$	−26.4042	−	22.4435i	−1.28382	−	1.09124i
$424$	0.114435	−	0.114435i	0.00555746	−	0.00555746i
$425$	39.5917	−	22.8583i	1.92048	−	1.10879i
$426$	0.348914	+	8.62056i	0.0169049	+	0.417667i
$427$	3.58594	+	13.3829i	0.173536	+	0.647644i
$428$	−8.57883			−0.414674
$429$	5.38519	−	0.798796i	0.259999	−	0.0385663i
$430$	24.3073			1.17220
$431$	−5.92727	−	22.1209i	−0.285506	−	1.06552i	−0.948469	−	0.316871i	$-0.897368\pi$
$431$	−5.92727	−	22.1209i	−0.285506	−	1.06552i	0.662962	−	0.748653i	$-0.269299\pi$
$432$	−2.03420	+	4.78143i	−0.0978704	+	0.230046i
$433$	−19.4487	+	11.2287i	−0.934645	+	0.539618i	−0.888278	−	0.459307i	$-0.848098\pi$
$433$	−19.4487	+	11.2287i	−0.934645	+	0.539618i	−0.0463677	+	0.998924i	$0.514765\pi$
$434$	1.36887	−	1.36887i	0.0657078	−	0.0657078i
$435$	−9.10561	+	2.83918i	−0.436580	+	0.136128i
$436$	−0.535478	−	0.143481i	−0.0256447	−	0.00687148i
$437$	0.353604	+	0.353604i	0.0169152	+	0.0169152i
$438$	−16.9451	−	8.88967i	−0.809668	−	0.424765i
$439$	−7.33701	−	4.23603i	−0.350176	−	0.202174i	0.314587	−	0.949229i	$-0.398134\pi$
$439$	−7.33701	−	4.23603i	−0.350176	−	0.202174i	−0.664763	+	0.747054i	$0.731467\pi$
$440$	−3.43816	+	0.921252i	−0.163908	+	0.0439190i
$441$	2.71080	+	1.28513i	0.129086	+	0.0611964i
$442$	11.4082	−	8.32492i	0.542631	−	0.395976i
$443$		−	13.2497i		−	0.629510i	−0.949173	−	0.314755i	$-0.898078\pi$
$443$		−	13.2497i		−	0.629510i	0.949173	−	0.314755i	$-0.101922\pi$
$444$	−7.68546	−	7.08753i	−0.364736	−	0.336359i
$445$	−18.1836	+	31.4949i	−0.861986	+	1.49300i
$446$	−12.6994	−	21.9961i	−0.601336	−	1.04154i
$447$	32.5011	+	7.31386i	1.53725	+	0.345934i
$448$	−0.258819	+	0.965926i	−0.0122281	+	0.0456357i
$449$	−4.19329	+	15.6496i	−0.197894	+	0.738550i	0.793605	+	0.608433i	$0.208202\pi$
$449$	−4.19329	+	15.6496i	−0.197894	+	0.738550i	−0.991499	+	0.130116i	$0.958465\pi$
$450$	−32.9785	+	11.7661i	−1.55462	+	0.554661i
$451$	4.04563	+	7.00724i	0.190501	+	0.329958i
$452$	−4.75284	+	8.23216i	−0.223555	+	0.387208i
$453$	−3.81401	+	4.13578i	−0.179198	+	0.194316i
$454$		−	25.6210i		−	1.20246i
$455$	13.7329	−	5.30446i	0.643808	−	0.248677i
$456$	0.168406	−	0.106535i	0.00788632	−	0.00498895i
$457$	23.5568	−	6.31204i	1.10194	−	0.295265i	0.338387	−	0.941007i	$-0.390119\pi$
$457$	23.5568	−	6.31204i	1.10194	−	0.295265i	0.763555	+	0.645742i	$0.223452\pi$
$458$	23.1564	+	13.3694i	1.08203	+	0.624710i
$459$	−12.2355	−	16.2646i	−0.571102	−	0.759166i
$460$	12.5492	+	12.5492i	0.585108	+	0.585108i
$461$	25.5878	+	6.85623i	1.19174	+	0.319326i	0.799574	−	0.600567i	$-0.205058\pi$
$461$	25.5878	+	6.85623i	1.19174	+	0.319326i	0.392168	+	0.919894i	$0.371725\pi$
$462$	−0.449460	−	1.44148i	−0.0209108	−	0.0670636i
$463$	−16.4422	+	16.4422i	−0.764135	+	0.764135i	−0.977067	−	0.212932i	$-0.931699\pi$
$463$	−16.4422	+	16.4422i	−0.764135	+	0.764135i	0.212932	+	0.977067i	$0.431699\pi$
$464$	1.16799	−	0.674338i	0.0542225	−	0.0313054i
$465$	−13.6795	+	0.553672i	−0.634371	+	0.0256759i
$466$	−1.48477	−	5.54123i	−0.0687806	−	0.256693i
$467$	−21.3222			−0.986673			−0.493337	−	0.869839i	$-0.664223\pi$
$467$	−21.3222			−0.986673			−0.493337	+	0.869839i	$0.664223\pi$
$468$	−9.74213	+	4.70010i	−0.450330	+	0.217262i
$469$	15.7663			0.728022
$470$	12.2072	+	45.5577i	0.563074	+	2.10142i
$471$	−38.3282	+	1.55132i	−1.76607	+	0.0714810i
$472$	0.0836967	−	0.0483223i	0.00385245	−	0.00222421i
$473$	3.66968	−	3.66968i	0.168732	−	0.168732i
$474$	−5.01218	−	16.0747i	−0.230217	−	0.738336i
$475$	1.29706	+	0.347547i	0.0595134	+	0.0159466i
$476$	−2.76969	−	2.76969i	−0.126948	−	0.126948i
$477$	−0.0392371	−	0.483919i	−0.00179654	−	0.0221571i
$478$	20.9709	+	12.1076i	0.959187	+	0.553787i
$479$	−9.17010	+	2.45712i	−0.418993	+	0.112269i	−0.462155	−	0.886799i	$-0.652923\pi$
$479$	−9.17010	+	2.45712i	−0.418993	+	0.112269i	0.0431621	+	0.999068i	$0.486257\pi$
$480$	5.97660	−	3.78085i	0.272793	−	0.172571i
$481$	−2.32000	−	21.6390i	−0.105783	−	0.986655i
$482$			5.07155i			0.231003i
$483$	−5.10374	+	5.53431i	−0.232228	+	0.251820i
$484$	5.12002	−	8.86814i	0.232728	−	0.403097i
$485$	6.38919	+	11.0664i	0.290118	+	0.502500i
$486$	6.97715	+	13.9398i	0.316490	+	0.632324i
$487$	8.60540	−	32.1158i	0.389948	−	1.45531i	−0.440270	−	0.897866i	$-0.645117\pi$
$487$	8.60540	−	32.1158i	0.389948	−	1.45531i	0.830217	−	0.557440i	$-0.188216\pi$
$488$	−3.58594	+	13.3829i	−0.162328	+	0.605815i
$489$	−24.2885	−	5.46574i	−1.09836	−	0.247169i
$490$	−2.04154	−	3.53605i	−0.0922273	−	0.159742i
$491$	−5.88750	+	10.1974i	−0.265699	+	0.460204i	−0.967747	−	0.251926i	$-0.918936\pi$
$491$	−5.88750	+	10.1974i	−0.265699	+	0.460204i	0.702048	+	0.712130i	$0.252269\pi$
$492$	−11.8180	−	10.8986i	−0.532796	−	0.491345i
$493$			5.28267i			0.237920i
$494$	0.409849	+	0.0640376i	0.0184400	+	0.00288119i
$495$	−4.57433	+	9.64895i	−0.205601	+	0.433688i
$496$	1.86991	−	0.501041i	0.0839614	−	0.0224974i
$497$	4.31381	+	2.49058i	0.193501	+	0.111718i
$498$	1.49882	+	0.786305i	0.0671637	+	0.0352352i
$499$	−4.13517	−	4.13517i	−0.185116	−	0.185116i	0.608465	−	0.793581i	$-0.291786\pi$
$499$	−4.13517	−	4.13517i	−0.185116	−	0.185116i	−0.793581	+	0.608465i	$0.791786\pi$
$500$	26.3122	+	7.05032i	1.17672	+	0.315300i
$501$	29.0361	−	9.05362i	1.29724	−	0.404486i
$502$	13.7013	−	13.7013i	0.611517	−	0.611517i
$503$	−28.3520	+	16.3690i	−1.26415	+	0.729859i	−0.973875	−	0.227084i	$-0.927081\pi$
$503$	−28.3520	+	16.3690i	−1.26415	+	0.729859i	−0.290278	+	0.956943i	$0.593748\pi$
$504$	1.70506	+	2.46835i	0.0759495	+	0.109949i
$505$	15.1447	+	56.5206i	0.673929	+	2.51514i
$506$	3.78910			0.168446
$507$	−21.7037	−	5.99580i	−0.963895	−	0.266283i
$508$	−7.11279			−0.315579
$509$	−8.46335	−	31.5857i	−0.375132	−	1.40001i	−0.853152	−	0.521662i	$-0.825312\pi$
$509$	−8.46335	−	31.5857i	−0.375132	−	1.40001i	0.478021	−	0.878348i	$-0.341354\pi$
$510$	1.12027	+	27.6782i	0.0496062	+	1.22561i
$511$	−9.56768	+	5.52390i	−0.423249	+	0.244363i
$512$	−0.707107	+	0.707107i	−0.0312500	+	0.0312500i
$513$	0.0836835	−	0.591936i	0.00369471	−	0.0261346i
$514$	−3.78784	−	1.01495i	−0.167075	−	0.0447675i
$515$	12.5377	+	12.5377i	0.552476	+	0.552476i
$516$	−4.79024	+	9.13095i	−0.210879	+	0.401968i
$517$	8.72079	+	5.03495i	0.383540	+	0.221437i
$518$	−5.83031	+	1.56223i	−0.256169	+	0.0686404i
$519$	9.99679	+	15.8025i	0.438810	+	0.693653i
$520$	14.5453	+	2.27265i	0.637852	+	0.0996623i
$521$			7.53022i			0.329905i	0.986302	+	0.164952i	$0.0527471\pi$
$521$			7.53022i			0.329905i	−0.986302	+	0.164952i	$0.947253\pi$
$522$	0.727919	−	3.98001i	0.0318601	−	0.174200i
$523$	4.02890	−	6.97826i	0.176172	−	0.305138i	−0.764395	−	0.644749i	$-0.776962\pi$
$523$	4.02890	−	6.97826i	0.176172	−	0.305138i	0.940566	+	0.339611i	$0.110295\pi$
$524$	−9.38971	−	16.2635i	−0.410191	−	0.710472i
$525$	−4.43823	+	19.7225i	−0.193700	+	0.860759i
$526$	−4.15482	+	15.5060i	−0.181159	+	0.676094i
$527$	−1.96254	+	7.32430i	−0.0854896	+	0.319052i
$528$	0.331495	−	1.47309i	0.0144264	−	0.0641078i
$529$	2.05387	+	3.55741i	0.0892987	+	0.154670i
$530$	−0.330394	+	0.572259i	−0.0143514	+	0.0248573i
$531$	0.0521618	−	0.285203i	0.00226363	−	0.0123768i
$532$		−	0.115051i		−	0.00498809i
$533$	−3.56749	−	33.2745i	−0.154525	−	1.44128i
$534$	−8.24752	−	13.0373i	−0.356905	−	0.564181i
$535$	33.8345	−	9.06592i	1.46279	−	0.391954i
$536$	13.6540	+	7.88317i	0.589765	+	0.340501i
$537$	−3.35620	+	6.39744i	−0.144831	+	0.276070i
$538$	19.7553	+	19.7553i	0.851712	+	0.851712i
$539$	−0.842051	−	0.225627i	−0.0362697	−	0.00971844i
$540$	2.96987	−	21.0074i	0.127803	−	0.904015i
$541$	10.8254	−	10.8254i	0.465421	−	0.465421i	−0.435007	−	0.900427i	$-0.643254\pi$
$541$	10.8254	−	10.8254i	0.465421	−	0.465421i	0.900427	+	0.435007i	$0.143254\pi$
$542$	6.87340	−	3.96836i	0.295238	−	0.170456i
$543$	0.0225930	+	0.558201i	0.000969557	+	0.0239547i
$544$	−1.01378	−	3.78346i	−0.0434653	−	0.162215i
$545$	2.26352			0.0969587
$546$	−0.713745	+	6.20408i	−0.0305455	+	0.265510i
$547$	−21.3214			−0.911635			−0.455818	−	0.890073i	$-0.650653\pi$
$547$	−21.3214			−0.911635			−0.455818	+	0.890073i	$0.650653\pi$
$548$	4.74128	+	17.6947i	0.202537	+	0.755879i
$549$	23.6236	+	34.1990i	1.00823	+	1.45958i
$550$	8.81156	−	5.08736i	0.375726	−	0.216926i
$551$	−0.109719	+	0.109719i	−0.00467420	+	0.00467420i
$552$	−7.18713	+	2.24098i	−0.305904	+	0.0953826i
$553$	−9.39017	−	2.51609i	−0.399311	−	0.106995i
$554$	6.87179	+	6.87179i	0.291954	+	0.291954i
$555$	37.8010	+	19.8310i	1.60456	+	0.841781i
$556$	5.22313	+	3.01558i	0.221510	+	0.127889i
$557$	−22.3532	+	5.98952i	−0.947134	+	0.253784i	−0.699146	−	0.714979i	$-0.746436\pi$
$557$	−22.3532	+	5.98952i	−0.947134	+	0.253784i	−0.247989	+	0.968763i	$0.579770\pi$
$558$	2.48784	−	5.24777i	0.105319	−	0.222156i
$559$	−20.0227	+	7.73396i	−0.846870	+	0.327112i
$560$		−	4.08308i		−	0.172542i
$561$	4.34772	+	4.00947i	0.183561	+	0.169280i
$562$	1.92282	−	3.33042i	0.0811092	−	0.140485i
$563$	6.79147	+	11.7632i	0.286226	+	0.495758i	0.972906	−	0.231202i	$-0.0742658\pi$
$563$	6.79147	+	11.7632i	0.286226	+	0.495758i	−0.686680	+	0.726960i	$0.740932\pi$
$564$	−19.5193	−	4.39251i	−0.821911	−	0.184958i
$565$	10.0454	−	37.4899i	0.422613	−	1.57721i
$566$	−2.00062	+	7.46642i	−0.0840924	+	0.313837i
$567$	8.95505	+	0.898405i	0.376077	+	0.0377294i
$568$	2.49058	+	4.31381i	0.104502	+	0.181003i
$569$	1.47239	−	2.55025i	0.0617256	−	0.106912i	−0.833511	−	0.552503i	$-0.813673\pi$
$569$	1.47239	−	2.55025i	0.0617256	−	0.106912i	0.895237	+	0.445591i	$0.147006\pi$
$570$	−0.551600	+	0.598135i	−0.0231040	+	0.0250531i
$571$			5.33967i			0.223458i	0.993739	+	0.111729i	$0.0356389\pi$
$571$			5.33967i			0.223458i	−0.993739	+	0.111729i	$0.964361\pi$
$572$	2.53901	−	1.85280i	0.106161	−	0.0774696i
$573$	−1.28892	+	0.815378i	−0.0538453	+	0.0340629i
$574$	−8.96532	+	2.40225i	−0.374205	+	0.100268i
$575$	−43.9339	−	25.3653i	−1.83217	−	1.05781i
$576$	0.242450	+	2.99019i	0.0101021	+	0.124591i
$577$	26.8762	+	26.8762i	1.11887	+	1.11887i	0.991907	+	0.126965i	$0.0405236\pi$
$577$	26.8762	+	26.8762i	1.11887	+	1.11887i	0.126965	+	0.991907i	$0.459476\pi$
$578$	−1.60118	−	0.429036i	−0.0666004	−	0.0178455i
$579$	5.98770	+	19.2033i	0.248840	+	0.798064i
$580$	−3.89386	+	3.89386i	−0.161684	+	0.161684i
$581$	0.846276	−	0.488598i	0.0351095	−	0.0202705i
$582$	−5.41619	+	0.219218i	−0.224508	+	0.00908688i
$583$	0.0365145	+	0.136274i	0.00151227	+	0.00564388i
$584$	−11.0478			−0.457162
$585$	33.4555	−	28.8322i	1.38321	−	1.19207i
$586$	−1.53066			−0.0632309
$587$	2.66767	+	9.95588i	0.110107	+	0.410923i	0.998874	−	0.0474345i	$-0.0151045\pi$
$587$	2.66767	+	9.95588i	0.110107	+	0.410923i	−0.888768	+	0.458358i	$0.848438\pi$
$588$	1.73063	−	0.0700467i	0.0713701	−	0.00288868i
$589$	−0.192884	+	0.111362i	−0.00794767	+	0.00458859i
$590$	−0.279030	+	0.279030i	−0.0114875	+	0.0114875i
$591$	−10.8774	−	34.8851i	−0.447435	−	1.43498i
$592$	−5.83031	−	1.56223i	−0.239624	−	0.0642072i
$593$	−0.898752	−	0.898752i	−0.0369073	−	0.0369073i	0.688412	−	0.725320i	$-0.258308\pi$
$593$	−0.898752	−	0.898752i	−0.0369073	−	0.0369073i	−0.725320	+	0.688412i	$0.758308\pi$
$594$	−2.72313	−	3.61986i	−0.111732	−	0.148525i
$595$	13.8505	+	7.99656i	0.567813	+	0.327827i
$596$	18.5784	−	4.97807i	0.761002	−	0.203910i
$597$	21.9864	−	13.9088i	0.899844	−	0.569248i
$598$	−14.3300	−	6.34434i	−0.585997	−	0.259439i
$599$		−	27.5064i		−	1.12388i	−0.827177	−	0.561941i	$-0.810055\pi$
$599$		−	27.5064i		−	1.12388i	0.827177	−	0.561941i	$-0.189945\pi$
$600$	−13.7048	+	14.8610i	−0.559498	+	0.606700i
$601$	−24.1175	+	41.7728i	−0.983775	+	1.70395i	−0.336515	+	0.941678i	$0.609248\pi$
$601$	−24.1175	+	41.7728i	−0.983775	+	1.70395i	−0.647260	+	0.762269i	$0.724085\pi$
$602$	2.97658	+	5.15560i	0.121317	+	0.210126i
$603$	44.5485	−	15.8941i	1.81416	−	0.647260i
$604$	−0.840682	+	3.13747i	−0.0342069	+	0.127662i
$605$	−10.8215	+	40.3862i	−0.439955	+	1.64193i
$606$	−24.2164	−	5.44951i	−0.983723	−	0.221371i
$607$	−10.3216	−	17.8775i	−0.418940	−	0.725625i	0.576893	−	0.816820i	$-0.304265\pi$
$607$	−10.3216	−	17.8775i	−0.418940	−	0.725625i	−0.995833	+	0.0911944i	$0.970932\pi$
$608$	0.0575254	−	0.0996370i	0.00233296	−	0.00404081i
$609$	−1.71723	−	1.58363i	−0.0695859	−	0.0641721i
$610$		−	56.5710i		−	2.29049i
$611$	−24.5508	−	33.6434i	−0.993218	−	1.36107i
$612$	−10.6180	−	5.03374i	−0.429208	−	0.203477i
$613$	−21.7484	+	5.82748i	−0.878411	+	0.235370i	−0.669722	−	0.742612i	$-0.733587\pi$
$613$	−21.7484	+	5.82748i	−0.878411	+	0.235370i	−0.208690	+	0.977982i	$0.566920\pi$
$614$	−5.42556	−	3.13245i	−0.218958	−	0.126415i
$615$	58.1269	+	30.4943i	2.34390	+	1.22965i
$616$	−0.616424	−	0.616424i	−0.0248364	−	0.0248364i
$617$	−25.4865	−	6.82908i	−1.02605	−	0.274929i	−0.293727	−	0.955889i	$-0.594896\pi$
$617$	−25.4865	−	6.82908i	−1.02605	−	0.274929i	−0.732320	+	0.680961i	$0.761562\pi$
$618$	−7.18054	+	2.23893i	−0.288844	+	0.0900630i
$619$	13.9198	−	13.9198i	0.559485	−	0.559485i	−0.369676	−	0.929161i	$-0.620531\pi$
$619$	13.9198	−	13.9198i	0.559485	−	0.559485i	0.929161	+	0.369676i	$0.120531\pi$
$620$	−6.84534	+	3.95216i	−0.274915	+	0.158722i
$621$	−8.84169	+	20.7826i	−0.354805	+	0.833976i
$622$	−6.22479	−	23.2312i	−0.249591	−	0.931488i
$623$	−8.90681			−0.356844
$624$	−3.72016	+	5.01602i	−0.148926	+	0.200801i
$625$	−52.8669			−2.11467
$626$	0.653862	+	2.44025i	0.0261336	+	0.0975318i
$627$	0.00702542	+	0.173576i	0.000280568	+	0.00693196i
$628$	−19.1798	+	11.0735i	−0.765357	+	0.441879i
$629$	16.7178	−	16.7178i	0.666582	−	0.666582i
$630$	−9.33318	−	7.93319i	−0.371843	−	0.316066i
$631$	19.1388	+	5.12823i	0.761904	+	0.204151i	0.618792	−	0.785555i	$-0.287622\pi$
$631$	19.1388	+	5.12823i	0.761904	+	0.204151i	0.143112	+	0.989707i	$0.454289\pi$
$632$	−6.87408	−	6.87408i	−0.273436	−	0.273436i
$633$	−9.06698	+	17.2831i	−0.360380	+	0.686940i
$634$	8.19760	+	4.73289i	0.325568	+	0.187967i
$635$	28.0525	−	7.51664i	1.11323	−	0.298289i
$636$	−0.149856	−	0.236887i	−0.00594219	−	0.00939317i
$637$	2.80677	+	2.26320i	0.111208	+	0.0896711i
$638$			1.17572i			0.0465470i
$639$	14.6996	+	2.68847i	0.581509	+	0.106354i
$640$	2.04154	−	3.53605i	0.0806989	−	0.139775i
$641$	15.5716	+	26.9709i	0.615043	+	1.06529i	0.990377	+	0.138396i	$0.0441945\pi$
$641$	15.5716	+	26.9709i	0.615043	+	1.06529i	−0.375334	+	0.926889i	$0.622472\pi$
$642$	−3.26220	+	14.4965i	−0.128749	+	0.572129i
$643$	−9.54790	+	35.6332i	−0.376532	+	1.40524i	0.474561	+	0.880223i	$0.342607\pi$
$643$	−9.54790	+	35.6332i	−0.376532	+	1.40524i	−0.851093	+	0.525015i	$0.824060\pi$
$644$	−1.12496	+	4.19842i	−0.0443297	+	0.165441i
$645$	9.24310	−	41.0742i	0.363947	−	1.61730i
$646$	0.225323	+	0.390271i	0.00886522	+	0.0153550i
$647$	8.18728	−	14.1808i	0.321875	−	0.557504i	−0.659000	−	0.752143i	$-0.729020\pi$
$647$	8.18728	−	14.1808i	0.321875	−	0.557504i	0.980875	+	0.194639i	$0.0623536\pi$
$648$	7.30610	+	5.25556i	0.287011	+	0.206458i
$649$			0.0842504i			0.00330712i
$650$	−41.8425	+	4.48609i	−1.64120	+	0.175959i
$651$	−1.79258	−	2.83363i	−0.0702566	−	0.111059i
$652$	−13.8839	+	3.72018i	−0.543735	+	0.145693i
$653$	−27.9679	−	16.1473i	−1.09447	−	0.631893i	−0.159707	−	0.987164i	$-0.551055\pi$
$653$	−27.9679	−	16.1473i	−1.09447	−	0.631893i	−0.934763	+	0.355272i	$0.884388\pi$
$654$	−0.446074	+	0.850286i	−0.0174429	+	0.0332488i
$655$	54.2194	+	54.2194i	2.11853	+	2.11853i
$656$	−8.96532	−	2.40225i	−0.350037	−	0.0937921i
$657$	−21.4653	+	25.2533i	−0.837440	+	0.985225i
$658$	−8.16800	+	8.16800i	−0.318422	+	0.318422i
$659$	6.00941	−	3.46954i	0.234093	−	0.135154i	−0.378366	−	0.925656i	$-0.623514\pi$
$659$	6.00941	−	3.46954i	0.234093	−	0.135154i	0.612459	+	0.790502i	$0.290180\pi$
$660$	0.249327	+	6.16009i	0.00970506	+	0.239781i
$661$	1.55533	+	5.80456i	0.0604952	+	0.225771i	0.989554	−	0.144160i	$-0.0460480\pi$
$661$	1.55533	+	5.80456i	0.0604952	+	0.225771i	−0.929059	+	0.369931i	$0.879381\pi$
$662$	−14.8972			−0.578996
$663$	−9.72933	−	22.4431i	−0.377856	−	0.871616i
$664$	0.977196			0.0379225
$665$	0.121583	+	0.453755i	0.00471480	+	0.0175959i
$666$	−14.8989	+	10.2917i	−0.577322	+	0.398796i
$667$	5.07669	−	2.93103i	0.196570	−	0.113490i
$668$	12.4168	−	12.4168i	0.480421	−	0.480421i
$669$	−41.9979	+	13.0952i	−1.62373	+	0.506289i
$670$	−62.1816	−	16.6615i	−2.40229	−	0.643691i
$671$	−8.54055	−	8.54055i	−0.329704	−	0.329704i
$672$	1.53380	+	0.804655i	0.0591675	+	0.0310402i
$673$	−15.8633	−	9.15871i	−0.611487	−	0.353042i	0.162060	−	0.986781i	$-0.448186\pi$
$673$	−15.8633	−	9.15871i	−0.611487	−	0.353042i	−0.773547	+	0.633739i	$0.781519\pi$
$674$	−11.2207	+	3.00658i	−0.432205	+	0.115809i
$675$	7.34192	+	60.2010i	0.282591	+	2.31714i
$676$	−12.7045	+	2.75588i	−0.488636	+	0.105995i
$677$		−	1.21920i		−	0.0468577i	−0.999726	−	0.0234289i	$-0.992542\pi$
$677$		−	1.21920i		−	0.0468577i	0.999726	−	0.0234289i	$-0.00745832\pi$
$678$	12.1033	+	11.1617i	0.464825	+	0.428662i
$679$	−1.56480	+	2.71031i	−0.0600514	+	0.104012i
$680$	7.99656	+	13.8505i	0.306654	+	0.531141i
$681$	−43.2943	−	9.74269i	−1.65904	−	0.373341i
$682$	−0.436785	+	1.63010i	−0.0167254	+	0.0624199i
$683$	−1.66736	+	6.22267i	−0.0637997	+	0.238104i	−0.990461	−	0.137794i	$-0.955999\pi$
$683$	−1.66736	+	6.22267i	−0.0637997	+	0.238104i	0.926661	+	0.375898i	$0.122666\pi$
$684$	−0.115984	−	0.325082i	−0.00443474	−	0.0124298i
$685$	−37.3987	−	64.7765i	−1.42893	−	2.47498i
$686$	0.500000	−	0.866025i	0.0190901	−	0.0330650i
$687$	31.3970	−	34.0457i	1.19787	−	1.29893i
$688$			5.95317i			0.226962i
$689$	0.0900781	−	0.576512i	0.00343170	−	0.0219634i
$690$	25.9774	−	16.4335i	0.988944	−	0.625614i
$691$	−1.34963	+	0.361632i	−0.0513424	+	0.0137571i	−0.284399	−	0.958706i	$-0.591794\pi$
$691$	−1.34963	+	0.361632i	−0.0513424	+	0.0137571i	0.233056	+	0.972463i	$0.425127\pi$
$692$	9.34954	+	5.39796i	0.355416	+	0.205200i
$693$	−2.60671	+	0.211357i	−0.0990208	+	0.00802881i
$694$	24.1303	+	24.1303i	0.915974	+	0.915974i
$695$	−23.7866	−	6.37360i	−0.902276	−	0.241764i
$696$	−0.695352	−	2.23008i	−0.0263573	−	0.0845311i
$697$	25.7071	−	25.7071i	0.973725	−	0.973725i
$698$	30.2486	−	17.4640i	1.14493	−	0.661023i
$699$	−9.92814	+	0.401837i	−0.375517	+	0.0151989i
$700$	3.02081	+	11.2738i	0.114176	+	0.426111i
$701$	28.4732			1.07542			0.537709	−	0.843131i	$-0.319290\pi$
$701$	28.4732			1.07542			0.537709	+	0.843131i	$0.319290\pi$
$702$	4.23765	+	18.2494i	0.159940	+	0.688781i
$703$	0.694445			0.0261915
$704$	−0.225627	−	0.842051i	−0.00850363	−	0.0317360i
$705$	81.6251	−	3.30374i	3.07418	−	0.124426i
$706$	−9.75556	+	5.63238i	−0.367155	+	0.211977i
$707$	−10.1335	+	10.1335i	−0.381111	+	0.381111i
$708$	−0.0498281	−	0.159805i	−0.00187266	−	0.00600585i
$709$	−18.9191	−	5.06934i	−0.710520	−	0.190383i	−0.114582	−	0.993414i	$-0.536553\pi$
$709$	−18.9191	−	5.06934i	−0.710520	−	0.190383i	−0.595938	+	0.803031i	$0.703220\pi$
$710$	−14.3815	−	14.3815i	−0.539726	−	0.539726i
$711$	−29.0689	+	2.35696i	−1.09017	+	0.0883930i
$712$	−7.71353	−	4.45341i	−0.289077	−	0.166898i
$713$	8.12760	−	2.17778i	0.304381	−	0.0815587i
$714$	−5.73340	+	3.62699i	−0.214567	+	0.135737i
$715$	−8.05572	+	9.99053i	−0.301267	+	0.373625i
$716$			4.17098i			0.155877i
$717$	28.4337	−	30.8325i	1.06188	−	1.15146i
$718$	11.4568	−	19.8437i	0.427563	−	0.740561i
$719$	9.90890	+	17.1627i	0.369540	+	0.640061i	0.989494	−	0.144577i	$-0.0461821\pi$
$719$	9.90890	+	17.1627i	0.369540	+	0.640061i	−0.619954	+	0.784638i	$0.712849\pi$
$720$	−4.11618	−	11.5369i	−0.153401	−	0.429956i
$721$	−1.12393	+	4.19457i	−0.0418574	+	0.156214i
$722$	4.91414	−	18.3398i	0.182885	−	0.682537i
$723$	8.56988	+	1.92851i	0.318717	+	0.0717222i
$724$	0.161271	+	0.279329i	0.00599358	+	0.0103812i
$725$	7.87056	−	13.6322i	0.292305	−	0.506287i
$726$	−13.0384	−	12.0240i	−0.483899	−	0.446252i
$727$		−	33.4588i		−	1.24092i	−0.784239	−	0.620459i	$-0.786946\pi$
$727$		−	33.4588i		−	1.24092i	0.784239	−	0.620459i	$-0.213054\pi$
$728$	1.29913	+	3.36337i	0.0481491	+	0.124655i
$729$	26.2086	−	6.48916i	0.970689	−	0.240339i
$730$	43.5720	−	11.6751i	1.61267	−	0.432114i
$731$	−20.1941	−	11.6591i	−0.746906	−	0.431226i
$732$	21.2507	+	11.1485i	0.785450	+	0.412060i
$733$	−18.2108	−	18.2108i	−0.672630	−	0.672630i	0.285691	−	0.958322i	$-0.407777\pi$
$733$	−18.2108	−	18.2108i	−0.672630	−	0.672630i	−0.958322	+	0.285691i	$0.907777\pi$
$734$	−19.3044	−	5.17260i	−0.712539	−	0.190924i
$735$	−6.75151	+	2.10516i	−0.249033	+	0.0776499i
$736$	−3.07346	+	3.07346i	−0.113289	+	0.113289i
$737$	−11.9030	+	6.87219i	−0.438452	+	0.253140i
$738$	−22.9102	+	15.8257i	−0.843337	+	0.582551i
$739$	3.99352	+	14.9040i	0.146904	+	0.548253i	0.999663	+	0.0259489i	$0.00826071\pi$
$739$	3.99352	+	14.9040i	0.146904	+	0.548253i	−0.852759	+	0.522304i	$0.825073\pi$
$740$	24.6454			0.905983
$741$	0.264060	−	0.668209i	0.00970049	−	0.0245473i
$742$	−0.161836			−0.00594117
$743$	4.60363	+	17.1810i	0.168891	+	0.630309i	0.997512	+	0.0704991i	$0.0224592\pi$
$743$	4.60363	+	17.1810i	0.168891	+	0.630309i	−0.828621	+	0.559810i	$0.810874\pi$
$744$	−0.135602	−	3.35029i	−0.00497139	−	0.122827i
$745$	−68.0116	+	39.2665i	−2.49175	+	1.43861i
$746$	14.1032	−	14.1032i	0.516356	−	0.516356i
$747$	1.89864	−	2.23369i	0.0694674	−	0.0817266i
$748$	3.29825	+	0.883764i	0.120596	+	0.0323136i
$749$	6.06615	+	6.06615i	0.221652	+	0.221652i
$750$	21.9191	−	41.7812i	0.800372	−	1.52563i
$751$	−36.2976	−	20.9564i	−1.32452	−	0.764710i	−0.340071	−	0.940400i	$-0.610451\pi$
$751$	−36.2976	−	20.9564i	−1.32452	−	0.764710i	−0.984446	+	0.175690i	$0.943784\pi$
$752$	−11.1577	+	2.98970i	−0.406879	+	0.109023i
$753$	−17.9422	−	28.3624i	−0.653852	−	1.03358i
$754$	1.96858	−	4.44644i	0.0716913	−	0.161930i
$755$		−	13.2624i		−	0.482669i
$756$	4.81937	−	1.94258i	0.175279	−	0.0706511i
$757$	−1.16801	+	2.02306i	−0.0424522	+	0.0735294i	−0.886471	−	0.462785i	$-0.846850\pi$
$757$	−1.16801	+	2.02306i	−0.0424522	+	0.0735294i	0.844019	+	0.536314i	$0.180184\pi$
$758$	9.50581	+	16.4645i	0.345267	+	0.598019i
$759$	1.44085	−	6.40280i	0.0522995	−	0.232407i
$760$	−0.121583	+	0.453755i	−0.00441029	+	0.0164594i
$761$	4.92633	−	18.3853i	0.178579	−	0.666467i	−0.817335	−	0.576163i	$-0.804549\pi$
$761$	4.92633	−	18.3853i	0.178579	−	0.666467i	0.995914	−	0.0903043i	$-0.0287840\pi$
$762$	−2.70472	+	12.0191i	−0.0979816	+	0.435408i
$763$	0.277184	+	0.480096i	0.0100347	+	0.0173806i
$764$	−0.440279	+	0.762586i	−0.0159287	+	0.0275894i
$765$	47.1965	+	8.63194i	1.70639	+	0.312088i
$766$			10.7703i			0.389146i
$767$	0.141066	−	0.318626i	0.00509359	−	0.0115049i
$768$	0.925979	+	1.46375i	0.0334134	+	0.0528185i
$769$	−25.6951	+	6.88497i	−0.926588	+	0.248278i	−0.690399	−	0.723429i	$-0.742565\pi$
$769$	−25.6951	+	6.88497i	−0.926588	+	0.248278i	−0.236189	+	0.971707i	$0.575898\pi$
$770$	3.08257	+	1.77972i	0.111088	+	0.0641367i
$771$	−3.15542	+	6.01473i	−0.113640	+	0.216615i
$772$	8.21199	+	8.21199i	0.295556	+	0.295556i
$773$	5.87152	+	1.57327i	0.211184	+	0.0565866i	0.362860	−	0.931844i	$-0.381800\pi$
$773$	5.87152	+	1.57327i	0.211184	+	0.0565866i	−0.151676	+	0.988430i	$0.548467\pi$
$774$	13.6079	+	11.5667i	0.489125	+	0.415755i
$775$	15.9768	−	15.9768i	0.573903	−	0.573903i
$776$	−2.71031	+	1.56480i	−0.0972945	+	0.0561730i
$777$	0.422801	+	10.4461i	0.0151679	+	0.374751i
$778$	0.845613	+	3.15587i	0.0303167	+	0.113144i
$779$	1.06785			0.0382599
$780$	9.37131	−	23.7143i	0.335547	−	0.849108i
$781$	−4.34235			−0.155381
$782$	−4.40640	−	16.4449i	−0.157573	−	0.588069i
$783$	−6.44860	−	2.74348i	−0.230454	−	0.0980438i
$784$	0.866025	−	0.500000i	0.0309295	−	0.0178571i
$785$	63.9419	−	63.9419i	2.28219	−	2.28219i
$786$	−31.0524	+	9.68231i	−1.10760	+	0.345357i
$787$	14.6505	+	3.92559i	0.522234	+	0.139932i	0.510300	−	0.859997i	$-0.329534\pi$
$787$	14.6505	+	3.92559i	0.522234	+	0.139932i	0.0119343	+	0.999929i	$0.496201\pi$
$788$	−14.9181	−	14.9181i	−0.531434	−	0.531434i
$789$	24.6220	+	12.9171i	0.876567	+	0.459861i
$790$	34.3754	+	19.8467i	1.22302	+	0.706112i
$791$	9.18178	−	2.46025i	0.326466	−	0.0874764i
$792$	−2.36316	−	1.12031i	−0.0839711	−	0.0398086i
$793$	17.9995	+	46.5995i	0.639180	+	1.65480i
$794$		−	20.2084i		−	0.717171i
$795$	0.841363	+	0.775905i	0.0298401	+	0.0275185i
$796$	7.51030	−	13.0082i	0.266196	−	0.461064i
$797$	11.1271	+	19.2727i	0.394143	+	0.682675i	0.992991	−	0.118187i	$-0.0377083\pi$
$797$	11.1271	+	19.2727i	0.394143	+	0.682675i	−0.598849	+	0.800862i	$0.704375\pi$
$798$	−0.194412	−	0.0437494i	−0.00688212	−	0.00154871i
$799$	11.7104	−	43.7039i	0.414285	−	1.54613i
$800$	−3.02081	+	11.2738i	−0.106802	+	0.398590i
$801$	−25.1666	+	8.97902i	−0.889219	+	0.317258i
$802$	5.86726	+	10.1624i	0.207180	+	0.358847i
$803$	4.81549	−	8.34068i	0.169935	−	0.294336i
$804$	18.5130	−	20.0749i	0.652904	−	0.707986i
$805$		−	17.7472i		−	0.625506i
$806$	4.38126	−	5.43354i	0.154323	−	0.191388i
$807$	40.8946	−	25.8702i	1.43956	−	0.910675i
$808$	−13.8427	+	3.70913i	−0.486983	+	0.130487i
$809$	−19.6609	−	11.3513i	−0.691242	−	0.399089i	0.112835	−	0.993614i	$-0.464007\pi$
$809$	−19.6609	−	11.3513i	−0.691242	−	0.399089i	−0.804077	+	0.594525i	$0.797340\pi$
$810$	−34.3688	−	13.0068i	−1.20760	−	0.457011i
$811$	−40.1477	−	40.1477i	−1.40978	−	1.40978i	−0.760863	−	0.648913i	$-0.775224\pi$
$811$	−40.1477	−	40.1477i	−1.40978	−	1.40978i	−0.648913	−	0.760863i	$-0.724776\pi$
$812$	−1.30272	−	0.349063i	−0.0457166	−	0.0122497i
$813$	−4.09202	−	13.1236i	−0.143514	−	0.460266i
$814$	3.72073	−	3.72073i	0.130411	−	0.130411i
$815$	50.8259	−	29.3444i	1.78036	−	1.02789i
$816$	−6.77877	+	0.274368i	−0.237304	+	0.00960480i
$817$	−0.177270	−	0.661579i	−0.00620188	−	0.0231457i
$818$	11.4832			0.401502
$819$	10.2122	+	3.56525i	0.356843	+	0.124580i
$820$	37.8974			1.32344
$821$	8.51927	+	31.7944i	0.297325	+	1.10963i	0.939354	+	0.342950i	$0.111426\pi$
$821$	8.51927	+	31.7944i	0.297325	+	1.10963i	−0.642029	+	0.766680i	$0.721907\pi$
$822$	31.7033	−	1.28318i	1.10578	−	0.0447560i
$823$	31.3256	−	18.0858i	1.09194	−	0.630433i	0.157849	−	0.987463i	$-0.449544\pi$
$823$	31.3256	−	18.0858i	1.09194	−	0.630433i	0.934093	+	0.357030i	$0.116211\pi$
$824$	−3.07064	+	3.07064i	−0.106971	+	0.106971i
$825$	−5.24589	−	16.8242i	−0.182638	−	0.585745i
$826$	−0.0933515	−	0.0250135i	−0.00324811	−	0.000870330i
$827$	1.32164	+	1.32164i	0.0459580	+	0.0459580i	0.729712	−	0.683754i	$-0.239654\pi$
$827$	1.32164	+	1.32164i	0.0459580	+	0.0459580i	−0.683754	+	0.729712i	$0.739654\pi$
$828$	1.05382	+	12.9969i	0.0366227	+	0.451674i
$829$	−3.69121	−	2.13112i	−0.128201	−	0.0740169i	0.434528	−	0.900658i	$-0.356915\pi$
$829$	−3.69121	−	2.13112i	−0.128201	−	0.0740169i	−0.562729	+	0.826641i	$0.690249\pi$
$830$	−3.85401	+	1.03268i	−0.133775	+	0.0358448i
$831$	14.2250	−	8.99883i	0.493459	−	0.312166i
$832$	−0.556602	+	3.56233i	−0.0192967	+	0.123502i
$833$			3.91693i			0.135714i
$834$	7.08186	−	7.67931i	0.245225	−	0.265913i
$835$	−35.8495	+	62.0932i	−1.24062	+	2.14882i
$836$	0.0501481	+	0.0868591i	0.00173441	+	0.00300408i
$837$	−7.92162	−	6.19945i	−0.273811	−	0.214284i
$838$	3.22580	−	12.0389i	0.111434	−	0.415876i
$839$	8.56421	−	31.9621i	0.295669	−	1.10345i	−0.645015	−	0.764170i	$-0.723149\pi$
$839$	8.56421	−	31.9621i	0.295669	−	1.10345i	0.940684	−	0.339283i	$-0.110184\pi$
$840$	−6.89956	−	1.55264i	−0.238057	−	0.0535710i
$841$	−13.5905	−	23.5395i	−0.468639	−	0.811707i
$842$	−6.88981	+	11.9335i	−0.237439	+	0.411256i
$843$	−4.89655	−	4.51559i	−0.168646	−	0.155525i
$844$			11.2682i			0.387866i
$845$	47.1937	−	24.2949i	1.62351	−	0.835771i
$846$	−14.8449	+	31.3133i	−0.510377	+	1.07657i
$847$	−9.89112	+	2.65032i	−0.339863	+	0.0910660i
$848$	−0.140154	−	0.0809178i	−0.00481290	−	0.00277873i
$849$	11.8559	+	6.21982i	0.406895	+	0.213464i
$850$	−32.3265	−	32.3265i	−1.10879	−	1.10879i
$851$	−25.3416	−	6.79026i	−0.868699	−	0.232767i
$852$	8.23651	−	2.56819i	0.282178	−	0.0879847i
$853$	24.9261	−	24.9261i	0.853453	−	0.853453i	−0.137104	−	0.990557i	$-0.543779\pi$
$853$	24.9261	−	24.9261i	0.853453	−	0.853453i	0.990557	+	0.137104i	$0.0437793\pi$
$854$	11.9988	−	6.92750i	0.410590	−	0.237054i
$855$	0.800973	+	1.15954i	0.0273927	+	0.0396553i
$856$	2.22037	+	8.28652i	0.0758905	+	0.283227i
$857$	−24.0522			−0.821608			−0.410804	−	0.911724i	$-0.634752\pi$
$857$	−24.0522			−0.821608			−0.410804	+	0.911724i	$0.634752\pi$
$858$	−2.16537	−	4.99495i	−0.0739244	−	0.170525i
$859$	−16.6639			−0.568563			−0.284282	−	0.958741i	$-0.591755\pi$
$859$	−16.6639			−0.568563			−0.284282	+	0.958741i	$0.591755\pi$
$860$	−6.29118	−	23.4790i	−0.214527	−	0.800627i
$861$	0.650145	+	16.0630i	0.0221569	+	0.547426i
$862$	−19.8330	+	11.4506i	−0.675515	+	0.390009i
$863$	19.3151	−	19.3151i	0.657493	−	0.657493i	−0.297293	−	0.954786i	$-0.596084\pi$
$863$	19.3151	−	19.3151i	0.657493	−	0.657493i	0.954786	+	0.297293i	$0.0960839\pi$
$864$	5.14499	+	0.727360i	0.175036	+	0.0247453i
$865$	−42.5786	−	11.4089i	−1.44771	−	0.387914i
$866$	15.8798	+	15.8798i	0.539618	+	0.539618i
$867$	−1.33385	+	2.54252i	−0.0452999	+	0.0863486i
$868$	−1.67651	−	0.967936i	−0.0569046	−	0.0328539i
$869$	8.18593	−	2.19341i	0.277689	−	0.0744065i
$870$	5.09914	+	8.06051i	0.172877	+	0.273277i
$871$	56.5224	−	6.05998i	1.91519	−	0.205335i
$872$			0.554367i			0.0187732i
$873$	−1.68913	+	9.23560i	−0.0571684	+	0.312578i
$874$	0.250036	−	0.433074i	0.00845758	−	0.0146490i
$875$	−13.6202	−	23.5908i	−0.460446	−	0.797516i
$876$	−4.20105	+	18.6685i	−0.141940	+	0.630751i
$877$	−8.15992	+	30.4532i	−0.275541	+	1.02833i	0.679937	+	0.733270i	$0.262007\pi$
$877$	−8.15992	+	30.4532i	−0.275541	+	1.02833i	−0.955478	+	0.295062i	$0.904660\pi$
$878$	−2.19273	+	8.18337i	−0.0740010	+	0.276175i
$879$	−0.582050	+	2.58650i	−0.0196321	+	0.0872404i
$880$	1.77972	+	3.08257i	0.0599944	+	0.103913i
$881$	10.3521	−	17.9304i	0.348771	−	0.604089i	−0.637260	−	0.770649i	$-0.719932\pi$
$881$	10.3521	−	17.9304i	0.348771	−	0.604089i	0.986031	+	0.166559i	$0.0532657\pi$
$882$	0.539728	−	2.95105i	0.0181736	−	0.0993670i
$883$		−	5.21480i		−	0.175492i	−0.996143	−	0.0877460i	$-0.972034\pi$
$883$		−	5.21480i		−	0.175492i	0.996143	−	0.0877460i	$-0.0279664\pi$
$884$	−10.9939	−	8.86478i	−0.369765	−	0.298155i
$885$	0.365398	+	0.577606i	0.0122827	+	0.0194160i
$886$	−12.7982	+	3.42926i	−0.429963	+	0.115208i
$887$	3.45800	+	1.99648i	0.116108	+	0.0670351i	0.556929	−	0.830560i	$-0.311979\pi$
$887$	3.45800	+	1.99648i	0.116108	+	0.0670351i	−0.440821	+	0.897595i	$0.645313\pi$
$888$	−4.85688	+	9.25797i	−0.162986	+	0.310677i
$889$	5.02950	+	5.02950i	0.168684	+	0.168684i
$890$	35.1280	+	9.41253i	1.17749	+	0.315509i
$891$	−7.15232	+	3.22504i	−0.239612	+	0.108043i
$892$	−17.9597	+	17.9597i	−0.601336	+	0.601336i
$893$	1.15094	−	0.664494i	0.0385146	−	0.0222364i
$894$	−1.34726	−	33.2866i	−0.0450593	−	1.11327i
$895$	−4.40780	−	16.4502i	−0.147337	−	0.549868i
$896$	1.00000			0.0334077
$897$	−16.1698	+	21.8022i	−0.539893	+	0.727955i
$898$	16.2016			0.540656
$899$	0.675742	+	2.52190i	0.0225373	+	0.0841102i
$900$	19.9007	+	28.8094i	0.663356	+	0.960315i
$901$	0.548972	−	0.316949i	0.0182889	−	0.0105591i
$902$	5.72139	−	5.72139i	0.190501	−	0.190501i
$903$	9.84377	−	3.06934i	0.327580	−	0.102141i
$904$	9.18178	+	2.46025i	0.305381	+	0.0818267i
$905$	−0.931232	−	0.931232i	−0.0309552	−	0.0309552i
$906$	4.98199	+	2.61364i	0.165516	+	0.0868322i
$907$	37.5494	+	21.6791i	1.24681	+	0.719844i	0.970471	−	0.241217i	$-0.0775466\pi$
$907$	37.5494	+	21.6791i	1.24681	+	0.719844i	0.276335	+	0.961061i	$0.410880\pi$
$908$	−24.7480	+	6.63121i	−0.821292	+	0.220065i
$909$	−18.4171	+	38.8484i	−0.610856	+	1.28852i
$910$	−8.67805	−	11.8921i	−0.287675	−	0.394218i
$911$			11.4655i			0.379870i	0.981797	+	0.189935i	$0.0608278\pi$
$911$			11.4655i			0.379870i	−0.981797	+	0.189935i	$0.939172\pi$
$912$	−0.146491	−	0.135094i	−0.00485081	−	0.00447342i
$913$	−0.425938	+	0.737746i	−0.0140965	+	0.0244158i
$914$	−12.1939	−	21.1205i	−0.403339	−	0.698604i
$915$	−95.5933	−	21.5118i	−3.16022	−	0.711157i
$916$	6.92050	−	25.8277i	0.228660	−	0.853370i
$917$	−4.86047	+	18.1395i	−0.160507	+	0.599020i
$918$	−12.5436	+	16.0281i	−0.414001	+	0.529007i
$919$	3.48278	+	6.03234i	0.114886	+	0.198989i	0.917734	−	0.397195i	$-0.130016\pi$
$919$	3.48278	+	6.03234i	0.114886	+	0.198989i	−0.802848	+	0.596184i	$0.796683\pi$
$920$	8.87360	−	15.3695i	0.292554	−	0.506718i
$921$	−7.35632	+	7.97693i	−0.242399	+	0.262849i
$922$		−	26.4904i		−	0.872416i
$923$	16.4223	+	7.27067i	0.540547	+	0.239317i
$924$	−1.27603	+	0.807227i	−0.0419783	+	0.0265558i
$925$	−68.0487	+	18.2336i	−2.23743	+	0.599516i
$926$	20.1375	+	11.6264i	0.661760	+	0.382067i
$927$	1.05285	+	12.9850i	0.0345802	+	0.426484i
$928$	−0.953659	−	0.953659i	−0.0313054	−	0.0313054i
$929$	−1.79940	−	0.482148i	−0.0590364	−	0.0158188i	0.229180	−	0.973384i	$-0.426396\pi$
$929$	−1.79940	−	0.482148i	−0.0590364	−	0.0158188i	−0.288216	+	0.957565i	$0.593062\pi$
$930$	4.07531	+	13.0701i	0.133635	+	0.428584i
$931$	−0.0813533	+	0.0813533i	−0.00266625	+	0.00266625i
$932$	−4.96813	+	2.86835i	−0.162737	+	0.0939560i
$933$	−41.6230	+	1.68468i	−1.36268	+	0.0551538i
$934$	5.51859	+	20.5956i	0.180574	+	0.673910i
$935$	−13.9421			−0.455955
$936$	7.06140	+	8.19370i	0.230809	+	0.267819i
$937$	−19.8637			−0.648920			−0.324460	−	0.945899i	$-0.605183\pi$
$937$	−19.8637			−0.648920			−0.324460	+	0.945899i	$0.605183\pi$
$938$	−4.08063	−	15.2291i	−0.133237	−	0.497248i
$939$	4.37215	−	0.176961i	0.142680	−	0.00577490i
$940$	40.8460	−	23.5824i	1.33225	−	0.769174i
$941$	14.7458	−	14.7458i	0.480701	−	0.480701i	−0.424655	−	0.905355i	$-0.639605\pi$
$941$	14.7458	−	14.7458i	0.480701	−	0.480701i	0.905355	+	0.424655i	$0.139605\pi$
$942$	11.4185	+	36.6207i	0.372036	+	1.19317i
$943$	−38.9680	−	10.4414i	−1.26897	−	0.340020i
$944$	−0.0683380	−	0.0683380i	−0.00222421	−	0.00222421i
$945$	−16.9545	+	12.7545i	−0.551530	+	0.414903i
$946$	−4.49442	−	2.59485i	−0.146126	−	0.0843659i
$947$	25.2294	−	6.76019i	0.819844	−	0.219677i	0.175566	−	0.984468i	$-0.443825\pi$
$947$	25.2294	−	6.76019i	0.819844	−	0.219677i	0.644278	+	0.764791i	$0.277158\pi$
$948$	−14.2297	+	9.00183i	−0.462160	+	0.292366i
$949$	−32.1770	+	23.4807i	−1.04451	+	0.762215i
$950$		−	1.34282i		−	0.0435668i
$951$	11.1148	−	12.0525i	0.360423	−	0.390830i
$952$	−1.95846	+	3.39216i	−0.0634742	+	0.109941i
$953$	9.60025	+	16.6281i	0.310983	+	0.538638i	0.978575	−	0.205889i	$-0.0660086\pi$
$953$	9.60025	+	16.6281i	0.310983	+	0.538638i	−0.667593	+	0.744527i	$0.732675\pi$
$954$	−0.457274	+	0.163148i	−0.0148048	+	0.00528210i
$955$	0.930555	−	3.47288i	0.0301120	−	0.112380i
$956$	6.26734	−	23.3900i	0.202700	−	0.756487i
$957$	1.98672	+	0.447079i	0.0642214	+	0.0144520i
$958$	4.74679	+	8.22169i	0.153362	+	0.265631i
$959$	9.15944	−	15.8646i	0.295774	−	0.512295i
$960$	−5.19887	−	4.79440i	−0.167793	−	0.154739i
$961$		−	27.2524i		−	0.879110i
$962$	−20.3012	+	7.84155i	−0.654538	+	0.252822i
$963$	23.2555	+	11.0249i	0.749399	+	0.355272i
$964$	4.89874	−	1.31261i	0.157778	−	0.0422765i
$965$	−41.0659	−	23.7094i	−1.32196	−	0.763234i
$966$	6.66668	+	3.49745i	0.214497	+	0.112529i
$967$	−2.41075	−	2.41075i	−0.0775243	−	0.0775243i	0.667281	−	0.744806i	$-0.267458\pi$
$967$	−2.41075	−	2.41075i	−0.0775243	−	0.0775243i	−0.744806	+	0.667281i	$0.767458\pi$
$968$	−9.89112	−	2.65032i	−0.317913	−	0.0851845i
$969$	0.745159	−	0.232345i	0.0239380	−	0.00746398i
$970$	9.03568	−	9.03568i	0.290118	−	0.290118i
$971$	−44.9541	+	25.9543i	−1.44265	+	0.832912i	−0.998026	−	0.0628079i	$-0.979994\pi$
$971$	−44.9541	+	25.9543i	−1.44265	+	0.832912i	−0.444620	+	0.895720i	$0.646661\pi$
$972$	11.6590	−	10.3473i	0.373964	−	0.331890i
$973$	−1.56098	−	5.82565i	−0.0500427	−	0.186762i
$974$	−33.2487			−1.06536
$975$	−8.33050	+	72.4110i	−0.266789	+	2.31901i
$976$	13.8550			0.443488
$977$	3.10276	+	11.5797i	0.0992662	+	0.370467i	0.997632	−	0.0687821i	$-0.0219113\pi$
$977$	3.10276	+	11.5797i	0.0992662	+	0.370467i	−0.898365	+	0.439249i	$0.855245\pi$
$978$	1.00683	+	24.8755i	0.0321948	+	0.795432i
$979$	6.72431	−	3.88228i	0.214910	−	0.124078i
$980$	−2.88717	+	2.88717i	−0.0922273	+	0.0922273i
$981$	1.26718	+	1.07710i	0.0404581	+	0.0343893i
$982$	11.3738	+	3.04759i	0.362952	+	0.0972526i
$983$	25.6888	+	25.6888i	0.819345	+	0.819345i	0.986013	−	0.166668i	$-0.0533007\pi$
$983$	25.6888	+	25.6888i	0.819345	+	0.819345i	−0.166668	+	0.986013i	$0.553301\pi$
$984$	−7.46847	+	14.2361i	−0.238086	+	0.453829i
$985$	74.6012	+	43.0710i	2.37699	+	1.37236i
$986$	5.10267	−	1.36726i	0.162502	−	0.0435423i
$987$	10.6963	+	16.9082i	0.340466	+	0.538194i
$988$	−0.0442212	−	0.412458i	−0.00140686	−	0.0131220i
$989$			25.8756i			0.822796i
$990$	10.5041	+	1.92113i	0.333842	+	0.0610576i
$991$	19.2775	−	33.3896i	0.612370	−	1.06066i	−0.378470	−	0.925614i	$-0.623550\pi$
$991$	19.2775	−	33.3896i	0.612370	−	1.06066i	0.990840	−	0.135043i	$-0.0431171\pi$
$992$	−0.967936	−	1.67651i	−0.0307320	−	0.0532294i
$993$	−5.66483	+	25.1732i	−0.179768	+	0.798847i
$994$	1.28922	−	4.81143i	0.0408915	−	0.152609i
$995$	−15.8735	+	59.2405i	−0.503222	+	1.87805i
$996$	0.371589	−	1.65126i	0.0117743	−	0.0523221i
$997$	−20.4738	−	35.4617i	−0.648413	−	1.12308i	−0.983502	−	0.180898i	$-0.942100\pi$
$997$	−20.4738	−	35.4617i	−0.648413	−	1.12308i	0.335089	−	0.942187i	$-0.391234\pi$
$998$	−2.92401	+	5.06453i	−0.0925578	+	0.160315i
$999$	11.7254	+	29.0897i	0.370975	+	0.920356i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	546.2.bu.a.449.1	yes	56
3.2	odd	2		546.2.bu.b.449.12	yes	56
13.2	odd	12		546.2.bu.b.197.12	yes	56
39.2	even	12	inner	546.2.bu.a.197.1	✓	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
546.2.bu.a.197.1	✓	56	39.2	even	12	inner
546.2.bu.a.449.1	yes	56	1.1	even	1	trivial
546.2.bu.b.197.12	yes	56	13.2	odd	12
546.2.bu.b.449.12	yes	56	3.2	odd	2

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:	\( N \)	\(=\)	\( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	546.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.258819 - 0.965926i) q^{2} +(-1.73063 + 0.0700467i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.88717 - 2.88717i) q^{5} +(0.515581 + 1.65353i) q^{6} +(0.965926 + 0.258819i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.99019 - 0.242450i) q^{9} +O(q^{10})\)	\(q+(-0.258819 - 0.965926i) q^{2} +(-1.73063 + 0.0700467i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.88717 - 2.88717i) q^{5} +(0.515581 + 1.65353i) q^{6} +(0.965926 + 0.258819i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.99019 - 0.242450i) q^{9} +(-3.53605 - 2.04154i) q^{10} +(-0.842051 + 0.225627i) q^{11} +(1.46375 - 0.925979i) q^{12} +(3.56233 + 0.556602i) q^{13} -1.00000i q^{14} +(-4.79440 + 5.19887i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.95846 + 3.39216i) q^{17} +(-1.00811 - 2.82555i) q^{18} +(-0.0297774 + 0.111131i) q^{19} +(-1.05678 + 3.94395i) q^{20} +(-1.68979 - 0.380261i) q^{21} +(0.435878 + 0.754962i) q^{22} +(2.17326 - 3.76420i) q^{23} +(-1.27327 - 1.17421i) q^{24} -11.6715i q^{25} +(-0.384362 - 3.58501i) q^{26} +(-5.15794 + 0.629046i) q^{27} +(-0.965926 + 0.258819i) q^{28} +(1.16799 + 0.674338i) q^{29} +(6.26261 + 3.28547i) q^{30} +(1.36887 + 1.36887i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(1.44148 - 0.449460i) q^{33} +(2.76969 - 2.76969i) q^{34} +(3.53605 - 2.04154i) q^{35} +(-2.46835 + 1.70506i) q^{36} +(-1.56223 - 5.83031i) q^{37} +0.115051 q^{38} +(-6.20408 - 0.713745i) q^{39} +4.08308 q^{40} +(-2.40225 - 8.96532i) q^{41} +(0.0700467 + 1.73063i) q^{42} +(-5.15560 + 2.97658i) q^{43} +(0.616424 - 0.616424i) q^{44} +(7.93319 - 9.33318i) q^{45} +(-4.19842 - 1.12496i) q^{46} +(-8.16800 - 8.16800i) q^{47} +(-0.804655 + 1.53380i) q^{48} +(0.866025 + 0.500000i) q^{49} +(-11.2738 + 3.02081i) q^{50} +(-3.62699 - 5.73340i) q^{51} +(-3.36337 + 1.29913i) q^{52} -0.161836i q^{53} +(1.94258 + 4.81937i) q^{54} +(-1.77972 + 3.08257i) q^{55} +(0.500000 + 0.866025i) q^{56} +(0.0437494 - 0.194412i) q^{57} +(0.349063 - 1.30272i) q^{58} +(0.0250135 - 0.0933515i) q^{59} +(1.55264 - 6.89956i) q^{60} +(6.92750 + 11.9988i) q^{61} +(0.967936 - 1.67651i) q^{62} +(2.95105 + 0.539728i) q^{63} +1.00000i q^{64} +(11.8921 - 8.67805i) q^{65} +(-0.807227 - 1.27603i) q^{66} +(15.2291 - 4.08063i) q^{67} +(-3.39216 - 1.95846i) q^{68} +(-3.49745 + 6.66668i) q^{69} +(-2.88717 - 2.88717i) q^{70} +(4.81143 + 1.28922i) q^{71} +(2.28582 + 1.94294i) q^{72} +(-7.81198 + 7.81198i) q^{73} +(-5.22732 + 3.01799i) q^{74} +(0.817552 + 20.1991i) q^{75} +(-0.0297774 - 0.111131i) q^{76} -0.871755 q^{77} +(0.916308 + 6.17741i) q^{78} -9.72142 q^{79} +(-1.05678 - 3.94395i) q^{80} +(8.88244 - 1.44994i) q^{81} +(-8.03809 + 4.64079i) q^{82} +(0.690982 - 0.690982i) q^{83} +(1.65353 - 0.515581i) q^{84} +(15.4482 + 4.13933i) q^{85} +(4.20953 + 4.20953i) q^{86} +(-2.06860 - 1.08522i) q^{87} +(-0.754962 - 0.435878i) q^{88} +(-8.60332 + 2.30525i) q^{89} +(-11.0684 - 5.24727i) q^{90} +(3.29689 + 1.45964i) q^{91} +4.34652i q^{92} +(-2.46489 - 2.27312i) q^{93} +(-5.77565 + 10.0037i) q^{94} +(0.234881 + 0.406826i) q^{95} +(1.68979 + 0.380261i) q^{96} +(-0.809999 + 3.02296i) q^{97} +(0.258819 - 0.965926i) q^{98} +(-2.46319 + 0.878822i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) \) 56 * q - 8 * q^6 + 24 * q^9	\( 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) \) 56 * q - 8 * q^6 + 24 * q^9 + 24 * q^10 - 8 * q^11 + 24 * q^13 - 4 * q^15 + 28 * q^16 + 4 * q^17 + 8 * q^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 16 * q^79 + 12 * q^81 + 4 * q^83 - 4 * q^84 + 32 * q^85 + 16 * q^86 + 144 * q^87 - 88 * q^89 + 8 * q^90 - 8 * q^91 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

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