LMFDB - Embedded newform 855.2.bx.a.68.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [855,2,Mod(68,855)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(855, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 9, 8]))

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

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

chi := DirichletCharacter("855.68");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 855 = 3^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	855.bx (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:	$6.82720937282$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			68.19
Character	$\chi$	$=$	855.68
Dual form			855.2.bx.a.767.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.49097 - 1.49097i) q^{2} +(1.50814 - 0.851779i) q^{3} +2.44596i q^{4} +(-2.17152 - 0.533390i) q^{5} +(-3.51855 - 0.978607i) q^{6} +(3.89151 + 1.04273i) q^{7} +(0.664917 - 0.664917i) q^{8} +(1.54895 - 2.56920i) q^{9} +O(q^{10})$	\(q+(-1.49097 - 1.49097i) q^{2} +(1.50814 - 0.851779i) q^{3} +2.44596i q^{4} +(-2.17152 - 0.533390i) q^{5} +(-3.51855 - 0.978607i) q^{6} +(3.89151 + 1.04273i) q^{7} +(0.664917 - 0.664917i) q^{8} +(1.54895 - 2.56920i) q^{9} +(2.44240 + 4.03293i) q^{10} +(-0.383019 + 0.221136i) q^{11} +(2.08342 + 3.68885i) q^{12} +(-0.372182 - 0.372182i) q^{13} +(-4.24744 - 7.35679i) q^{14} +(-3.72928 + 1.04523i) q^{15} +2.90919 q^{16} +(1.07866 - 0.289026i) q^{17} +(-6.14001 + 1.52116i) q^{18} +(-2.06823 - 3.83698i) q^{19} +(1.30465 - 5.31146i) q^{20} +(6.75710 - 1.74213i) q^{21} +(0.900776 + 0.241362i) q^{22} +(2.13413 - 2.13413i) q^{23} +(0.436423 - 1.56915i) q^{24} +(4.43099 + 2.31653i) q^{25} +1.10982i q^{26} +(0.147636 - 5.19405i) q^{27} +(-2.55047 + 9.51850i) q^{28} +(2.32495 - 4.02692i) q^{29} +(7.11863 + 4.00182i) q^{30} +(0.345507 - 0.598435i) q^{31} +(-5.66734 - 5.66734i) q^{32} +(-0.389286 + 0.659751i) q^{33} +(-2.03917 - 1.17732i) q^{34} +(-7.89431 - 4.34000i) q^{35} +(6.28416 + 3.78867i) q^{36} +(1.81853 - 1.81853i) q^{37} +(-2.63714 + 8.80448i) q^{38} +(-0.878318 - 0.244285i) q^{39} +(-1.79854 + 1.08922i) q^{40} +(1.74260 - 1.00609i) q^{41} +(-12.6721 - 7.47715i) q^{42} +(-6.12325 - 6.12325i) q^{43} +(-0.540891 - 0.936851i) q^{44} +(-4.73395 + 4.75286i) q^{45} -6.36385 q^{46} +(0.694924 - 0.186204i) q^{47} +(4.38745 - 2.47798i) q^{48} +(7.99441 + 4.61557i) q^{49} +(-3.15259 - 10.0603i) q^{50} +(1.38058 - 1.35467i) q^{51} +(0.910344 - 0.910344i) q^{52} +(-13.2051 - 3.53829i) q^{53} +(-7.96428 + 7.52404i) q^{54} +(0.949685 - 0.275903i) q^{55} +(3.28086 - 1.89421i) q^{56} +(-6.38743 - 4.02501i) q^{57} +(-9.47043 + 2.53759i) q^{58} +(4.75129 + 8.22947i) q^{59} +(-2.55659 - 9.12167i) q^{60} +(4.71070 - 8.15918i) q^{61} +(-1.40739 + 0.377108i) q^{62} +(8.70671 - 8.38292i) q^{63} +11.0812i q^{64} +(0.609683 + 1.00672i) q^{65} +(1.56408 - 0.403255i) q^{66} +(6.57538 - 6.57538i) q^{67} +(0.706947 + 2.63836i) q^{68} +(1.40075 - 5.03637i) q^{69} +(5.29937 + 18.2409i) q^{70} +(4.67682 + 2.70017i) q^{71} +(-0.678381 - 2.73822i) q^{72} +(-9.36276 + 2.50874i) q^{73} -5.42275 q^{74} +(8.65571 - 0.280577i) q^{75} +(9.38511 - 5.05882i) q^{76} +(-1.72111 + 0.461170i) q^{77} +(0.945323 + 1.67376i) q^{78} +11.0799i q^{79} +(-6.31736 - 1.55173i) q^{80} +(-4.20153 - 7.95909i) q^{81} +(-4.09820 - 1.09811i) q^{82} +(15.6338 + 4.18906i) q^{83} +(4.26119 + 16.5276i) q^{84} +(-2.49649 + 0.0522793i) q^{85} +18.2591i q^{86} +(0.0762861 - 8.05349i) q^{87} +(-0.107639 + 0.401713i) q^{88} +(0.423672 + 0.733822i) q^{89} +(14.1445 - 0.0282008i) q^{90} +(-1.06027 - 1.83644i) q^{91} +(5.22001 + 5.22001i) q^{92} +(0.0113368 - 1.19682i) q^{93} +(-1.31373 - 0.758484i) q^{94} +(2.44460 + 9.43525i) q^{95} +(-13.3744 - 3.71980i) q^{96} +(-8.22919 + 8.22919i) q^{97} +(-5.03773 - 18.8011i) q^{98} +(-0.0251341 + 1.32658i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 2 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7}+O(q^{10}) $ 464 * q - 2 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7	$ 464 q - 2 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} - 4 q^{13} - 8 q^{15} - 424 q^{16} - 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 8 q^{33} + 76 q^{36} - 16 q^{37} - 18 q^{38} + 18 q^{40} + 36 q^{41} + 82 q^{42} - 4 q^{43} + 6 q^{45} - 56 q^{46} + 54 q^{47} - 36 q^{48} - 108 q^{50} + 12 q^{51} + 68 q^{52} - 14 q^{55} - 24 q^{56} - 6 q^{57} - 12 q^{58} + 78 q^{60} + 4 q^{61} + 12 q^{62} - 70 q^{63} - 84 q^{65} - 4 q^{66} - 4 q^{67} - 60 q^{68} + 42 q^{70} + 14 q^{72} - 4 q^{73} + 98 q^{75} + 24 q^{76} - 12 q^{77} - 64 q^{78} - 120 q^{80} - 36 q^{81} + 4 q^{82} - 12 q^{83} - 4 q^{85} + 102 q^{87} + 48 q^{88} - 46 q^{90} - 8 q^{91} - 22 q^{93} + 54 q^{95} + 96 q^{96} - 4 q^{97} - 42 q^{98}+O(q^{100}) $ 464 * q - 2 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 - 4 * q^13 - 8 * q^15 - 424 * q^16 - 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 8 * q^33 + 76 * q^36 - 16 * q^37 - 18 * q^38 + 18 * q^40 + 36 * q^41 + 82 * q^42 - 4 * q^43 + 6 * q^45 - 56 * q^46 + 54 * q^47 - 36 * q^48 - 108 * q^50 + 12 * q^51 + 68 * q^52 - 14 * q^55 - 24 * q^56 - 6 * q^57 - 12 * q^58 + 78 * q^60 + 4 * q^61 + 12 * q^62 - 70 * q^63 - 84 * q^65 - 4 * q^66 - 4 * q^67 - 60 * q^68 + 42 * q^70 + 14 * q^72 - 4 * q^73 + 98 * q^75 + 24 * q^76 - 12 * q^77 - 64 * q^78 - 120 * q^80 - 36 * q^81 + 4 * q^82 - 12 * q^83 - 4 * q^85 + 102 * q^87 + 48 * q^88 - 46 * q^90 - 8 * q^91 - 22 * q^93 + 54 * q^95 + 96 * q^96 - 4 * q^97 - 42 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/855\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$496$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.49097	−	1.49097i	−1.05427	−	1.05427i	−0.998440	−	0.0558326i	$-0.982219\pi$
$2$	−1.49097	−	1.49097i	−1.05427	−	1.05427i	−0.0558326	−	0.998440i	$-0.517781\pi$
$3$	1.50814	−	0.851779i	0.870723	−	0.491775i
$3$	1.50814	−	0.851779i	0.870723	−	0.491775i
$4$			2.44596i			1.22298i
$5$	−2.17152	−	0.533390i	−0.971133	−	0.238539i
$5$	−2.17152	−	0.533390i	−0.971133	−	0.238539i
$6$	−3.51855	−	0.978607i	−1.43644	−	0.399515i
$7$	3.89151	+	1.04273i	1.47085	+	0.394114i	0.903224	−	0.429170i	$-0.141194\pi$
$7$	3.89151	+	1.04273i	1.47085	+	0.394114i	0.567630	+	0.823284i	$0.307861\pi$
$8$	0.664917	−	0.664917i	0.235084	−	0.235084i
$9$	1.54895	−	2.56920i	0.516316	−	0.856398i
$10$	2.44240	+	4.03293i	0.772354	+	1.27532i
$11$	−0.383019	+	0.221136i	−0.115485	+	0.0666751i	−0.556630	−	0.830761i	$-0.687906\pi$
$11$	−0.383019	+	0.221136i	−0.115485	+	0.0666751i	0.441145	+	0.897436i	$0.354572\pi$
$12$	2.08342	+	3.68885i	0.601431	+	1.06488i
$13$	−0.372182	−	0.372182i	−0.103225	−	0.103225i	0.653608	−	0.756833i	$-0.273254\pi$
$13$	−0.372182	−	0.372182i	−0.103225	−	0.103225i	−0.756833	+	0.653608i	$0.773254\pi$
$14$	−4.24744	−	7.35679i	−1.13518	−	1.96618i
$15$	−3.72928	+	1.04523i	−0.962895	+	0.269877i
$16$	2.90919			0.727297
$17$	1.07866	−	0.289026i	0.261613	−	0.0700991i	−0.125628	−	0.992077i	$-0.540095\pi$
$17$	1.07866	−	0.289026i	0.261613	−	0.0700991i	0.387241	+	0.921978i	$0.373428\pi$
$18$	−6.14001	+	1.52116i	−1.44721	+	0.358540i
$19$	−2.06823	−	3.83698i	−0.474485	−	0.880263i
$19$	−2.06823	−	3.83698i	−0.474485	−	0.880263i
$20$	1.30465	−	5.31146i	0.291729	−	1.18768i
$21$	6.75710	−	1.74213i	1.47452	−	0.380164i
$22$	0.900776	+	0.241362i	0.192046	+	0.0514586i
$23$	2.13413	−	2.13413i	0.444998	−	0.444998i	−0.448690	−	0.893688i	$-0.648109\pi$
$23$	2.13413	−	2.13413i	0.444998	−	0.444998i	0.893688	+	0.448690i	$0.148109\pi$
$24$	0.436423	−	1.56915i	0.0890845	−	0.320301i
$25$	4.43099	+	2.31653i	0.886198	+	0.463306i
$26$			1.10982i			0.217654i
$27$	0.147636	−	5.19405i	0.0284126	−	0.999596i
$28$	−2.55047	+	9.51850i	−0.481994	+	1.79883i
$29$	2.32495	−	4.02692i	0.431732	−	0.747781i	−0.565291	−	0.824892i	$-0.691236\pi$
$29$	2.32495	−	4.02692i	0.431732	−	0.747781i	0.997023	+	0.0771105i	$0.0245694\pi$
$30$	7.11863	+	4.00182i	1.29968	+	0.730630i
$31$	0.345507	−	0.598435i	0.0620549	−	0.107482i	−0.833329	−	0.552777i	$-0.813568\pi$
$31$	0.345507	−	0.598435i	0.0620549	−	0.107482i	0.895384	+	0.445295i	$0.146901\pi$
$32$	−5.66734	−	5.66734i	−1.00185	−	1.00185i
$33$	−0.389286	+	0.659751i	−0.0677660	+	0.114848i
$34$	−2.03917	−	1.17732i	−0.349715	−	0.201908i
$35$	−7.89431	−	4.34000i	−1.33438	−	0.733593i
$36$	6.28416	+	3.78867i	1.04736	+	0.631445i
$37$	1.81853	−	1.81853i	0.298965	−	0.298965i	−0.541643	−	0.840608i	$-0.682198\pi$
$37$	1.81853	−	1.81853i	0.298965	−	0.298965i	0.840608	+	0.541643i	$0.182198\pi$
$38$	−2.63714	+	8.80448i	−0.427801	+	1.42827i
$39$	−0.878318	−	0.244285i	−0.140643	−	0.0391168i
$40$	−1.79854	+	1.08922i	−0.284374	+	0.172221i
$41$	1.74260	−	1.00609i	0.272148	−	0.157125i	−0.357716	−	0.933831i	$-0.616444\pi$
$41$	1.74260	−	1.00609i	0.272148	−	0.157125i	0.629863	+	0.776706i	$0.283111\pi$
$42$	−12.6721	−	7.47715i	−1.95534	−	1.15375i
$43$	−6.12325	−	6.12325i	−0.933787	−	0.933787i	0.0641526	−	0.997940i	$-0.479566\pi$
$43$	−6.12325	−	6.12325i	−0.933787	−	0.933787i	−0.997940	+	0.0641526i	$0.979566\pi$
$44$	−0.540891	−	0.936851i	−0.0815424	−	0.141236i
$45$	−4.73395	+	4.75286i	−0.705696	+	0.708515i
$46$	−6.36385			−0.938298
$47$	0.694924	−	0.186204i	0.101365	−	0.0271607i	−0.207780	−	0.978176i	$-0.566624\pi$
$47$	0.694924	−	0.186204i	0.101365	−	0.0271607i	0.309145	+	0.951015i	$0.399957\pi$
$48$	4.38745	−	2.47798i	0.633274	−	0.357666i
$49$	7.99441	+	4.61557i	1.14206	+	0.659368i
$50$	−3.15259	−	10.0603i	−0.445843	−	1.42275i
$51$	1.38058	−	1.35467i	0.193320	−	0.189692i
$52$	0.910344	−	0.910344i	0.126242	−	0.126242i
$53$	−13.2051	−	3.53829i	−1.81386	−	0.486022i	−0.817862	−	0.575414i	$-0.804841\pi$
$53$	−13.2051	−	3.53829i	−1.81386	−	0.486022i	−0.995997	+	0.0893920i	$0.971508\pi$
$54$	−7.96428	+	7.52404i	−1.08380	+	1.02389i
$55$	0.949685	−	0.275903i	0.128056	−	0.0372028i
$56$	3.28086	−	1.89421i	0.438423	−	0.253124i
$57$	−6.38743	−	4.02501i	−0.846036	−	0.533125i
$58$	−9.47043	+	2.53759i	−1.24353	+	0.333202i
$59$	4.75129	+	8.22947i	0.618565	+	1.07139i	0.989748	+	0.142826i	$0.0456189\pi$
$59$	4.75129	+	8.22947i	0.618565	+	1.07139i	−0.371183	+	0.928560i	$0.621048\pi$
$60$	−2.55659	−	9.12167i	−0.330055	−	1.17760i
$61$	4.71070	−	8.15918i	0.603144	−	1.04468i	−0.389198	−	0.921154i	$-0.627248\pi$
$61$	4.71070	−	8.15918i	0.603144	−	1.04468i	0.992342	−	0.123522i	$-0.0394188\pi$
$62$	−1.40739	+	0.377108i	−0.178738	+	0.0478928i
$63$	8.70671	−	8.38292i	1.09694	−	1.05615i
$64$			11.0812i			1.38516i
$65$	0.609683	+	1.00672i	0.0756218	+	0.124868i
$66$	1.56408	−	0.403255i	0.192525	−	0.0496372i
$67$	6.57538	−	6.57538i	0.803311	−	0.803311i	−0.180301	−	0.983612i	$-0.557707\pi$
$67$	6.57538	−	6.57538i	0.803311	−	0.803311i	0.983612	+	0.180301i	$0.0577071\pi$
$68$	0.706947	+	2.63836i	0.0857299	+	0.319948i
$69$	1.40075	−	5.03637i	0.168631	−	0.606308i
$70$	5.29937	+	18.2409i	0.633396	+	2.18021i
$71$	4.67682	+	2.70017i	0.555037	+	0.320451i	0.751151	−	0.660130i	$-0.229499\pi$
$71$	4.67682	+	2.70017i	0.555037	+	0.320451i	−0.196114	+	0.980581i	$0.562832\pi$
$72$	−0.678381	−	2.73822i	−0.0799479	−	0.322703i
$73$	−9.36276	+	2.50874i	−1.09583	+	0.293626i	−0.761065	−	0.648676i	$-0.775323\pi$
$73$	−9.36276	+	2.50874i	−1.09583	+	0.293626i	−0.334763	+	0.942302i	$0.608656\pi$
$74$	−5.42275			−0.630381
$75$	8.65571	−	0.280577i	0.999475	−	0.0323983i
$76$	9.38511	−	5.05882i	1.07655	−	0.580287i
$77$	−1.72111	+	0.461170i	−0.196139	+	0.0525552i
$78$	0.945323	+	1.67376i	0.107037	+	0.189516i
$79$			11.0799i			1.24659i	0.781988	+	0.623293i	$0.214206\pi$
$79$			11.0799i			1.24659i	−0.781988	+	0.623293i	$0.785794\pi$
$80$	−6.31736	−	1.55173i	−0.706302	−	0.173489i
$81$	−4.20153	−	7.95909i	−0.466837	−	0.884344i
$82$	−4.09820	−	1.09811i	−0.452570	−	0.121266i
$83$	15.6338	+	4.18906i	1.71603	+	0.459809i	0.976890	−	0.213741i	$-0.0685650\pi$
$83$	15.6338	+	4.18906i	1.71603	+	0.459809i	0.739141	+	0.673551i	$0.235232\pi$
$84$	4.26119	+	16.5276i	0.464934	+	1.80331i
$85$	−2.49649	+	0.0522793i	−0.270783	+	0.00567049i
$86$			18.2591i			1.96893i
$87$	0.0762861	−	8.05349i	0.00817873	−	0.863424i
$88$	−0.107639	+	0.401713i	−0.0114743	+	0.0428228i
$89$	0.423672	+	0.733822i	0.0449092	+	0.0777850i	0.887606	−	0.460603i	$-0.152367\pi$
$89$	0.423672	+	0.733822i	0.0449092	+	0.0777850i	−0.842697	+	0.538388i	$0.819033\pi$
$90$	14.1445	−	0.0282008i	1.49096	−	0.00297262i
$91$	−1.06027	−	1.83644i	−0.111146	−	0.192511i
$92$	5.22001	+	5.22001i	0.544224	+	0.544224i
$93$	0.0113368	−	1.19682i	0.00117557	−	0.124104i
$94$	−1.31373	−	0.758484i	−0.135501	−	0.0782316i
$95$	2.44460	+	9.43525i	0.250811	+	0.968036i
$96$	−13.3744	−	3.71980i	−1.36502	−	0.379650i
$97$	−8.22919	+	8.22919i	−0.835548	+	0.835548i	−0.988269	−	0.152721i	$-0.951196\pi$
$97$	−8.22919	+	8.22919i	−0.835548	+	0.835548i	0.152721	+	0.988269i	$0.451196\pi$
$98$	−5.03773	−	18.8011i	−0.508887	−	1.89919i
$99$	−0.0251341	+	1.32658i	−0.00252607	+	0.133326i
$100$	−5.66615	+	10.8380i	−0.566615	+	1.08380i
$101$	4.72347	+	2.72710i	0.470003	+	0.271356i	0.716241	−	0.697853i	$-0.245861\pi$
$101$	4.72347	+	2.72710i	0.470003	+	0.271356i	−0.246238	+	0.969209i	$0.579194\pi$
$102$	−4.07816	−	0.0386301i	−0.403798	−	0.00382495i
$103$	−8.78824	+	2.35480i	−0.865931	+	0.232025i	−0.664327	−	0.747442i	$-0.731282\pi$
$103$	−8.78824	+	2.35480i	−0.865931	+	0.232025i	−0.201603	+	0.979467i	$0.564615\pi$
$104$	−0.494941			−0.0485329
$105$	−15.6024	+	0.178904i	−1.52264	+	0.0174592i
$106$	14.4129	+	24.9638i	1.39990	+	2.42470i
$107$	−13.3862	−	13.3862i	−1.29409	−	1.29409i	−0.932235	−	0.361853i	$-0.882144\pi$
$107$	−13.3862	−	13.3862i	−1.29409	−	1.29409i	−0.361853	−	0.932235i	$-0.617856\pi$
$108$	12.7045	+	0.361113i	1.22249	+	0.0347481i
$109$	−13.9093	−	8.03054i	−1.33227	−	0.769186i	−0.346623	−	0.938005i	$-0.612672\pi$
$109$	−13.9093	−	8.03054i	−1.33227	−	0.769186i	−0.985647	+	0.168818i	$0.946005\pi$
$110$	−1.82731	−	1.00459i	−0.174227	−	0.0957836i
$111$	1.19361	−	4.29158i	0.113292	−	0.407339i
$112$	11.3211	+	3.03349i	1.06975	+	0.286638i
$113$	−0.951816	−	3.55223i	−0.0895393	−	0.334165i	0.906596	−	0.422000i	$-0.138672\pi$
$113$	−0.951816	−	3.55223i	−0.0895393	−	0.334165i	−0.996135	+	0.0878349i	$0.972005\pi$
$114$	3.52230	+	15.5246i	0.329893	+	1.45401i
$115$	−5.77264	+	3.49599i	−0.538301	+	0.326002i
$116$	9.84971	+	5.68673i	0.914523	+	0.528000i
$117$	−1.53270	+	0.379718i	−0.141698	+	0.0351050i
$118$	5.18586	−	19.3539i	0.477397	−	1.78167i
$119$	4.49899			0.412422
$120$	−1.78467	+	3.17465i	−0.162917	+	0.289805i
$121$	−5.40220	+	9.35688i	−0.491109	+	0.850626i
$122$	−19.1886	+	5.14156i	−1.73725	+	0.465495i
$123$	1.77111	−	3.00162i	0.159695	−	0.270647i
$124$	1.46375	+	0.845097i	0.131449	+	0.0758920i
$125$	−8.38637	−	7.39384i	−0.750099	−	0.661325i
$126$	−25.4801	−	0.482760i	−2.26995	−	0.0430077i
$127$	15.3126	+	4.10300i	1.35877	+	0.364082i	0.863366	−	0.504578i	$-0.168352\pi$
$127$	15.3126	+	4.10300i	1.35877	+	0.364082i	0.495408	+	0.868661i	$0.335019\pi$
$128$	5.18710	−	5.18710i	0.458479	−	0.458479i
$129$	−14.4504	−	4.01904i	−1.27228	−	0.353857i
$130$	0.591968	−	2.41000i	0.0519190	−	0.211371i
$131$	8.71587	−	5.03211i	0.761509	−	0.439658i	−0.0683281	−	0.997663i	$-0.521766\pi$
$131$	8.71587	−	5.03211i	0.761509	−	0.439658i	0.829837	+	0.558005i	$0.188433\pi$
$132$	−1.61373	−	0.952179i	−0.140457	−	0.0828765i
$133$	−4.04763	−	17.0883i	−0.350974	−	1.48174i
$134$	−19.6074			−1.69382
$135$	−3.09105	+	11.2002i	−0.266035	+	0.963963i
$136$	0.525041	−	0.909397i	0.0450219	−	0.0779802i
$137$	−3.50342	+	0.938738i	−0.299317	+	0.0802018i	−0.405352	−	0.914161i	$-0.632851\pi$
$137$	−3.50342	+	0.938738i	−0.299317	+	0.0802018i	0.106035	+	0.994362i	$0.466184\pi$
$138$	−9.59754	+	5.42059i	−0.816997	+	0.461431i
$139$			1.37422i			0.116560i	0.998300	+	0.0582799i	$0.0185616\pi$
$139$			1.37422i			0.116560i	−0.998300	+	0.0582799i	$0.981438\pi$
$140$	10.6155	−	19.3092i	0.897171	−	1.63193i
$141$	0.889434	−	0.872742i	0.0749039	−	0.0734982i
$142$	−2.94713	−	10.9988i	−0.247318	−	0.923003i
$143$	0.224856	+	0.0602500i	0.0188034	+	0.00503836i
$144$	4.50618	−	7.47427i	0.375515	−	0.622856i
$145$	−7.19658	+	7.50444i	−0.597644	+	0.623210i
$146$	17.7000	+	10.2191i	1.46486	+	0.845740i
$147$	15.9881	+	0.151446i	1.31868	+	0.0124911i
$148$	4.44807	+	4.44807i	0.365629	+	0.365629i
$149$	8.53752	+	14.7874i	0.699421	+	1.21143i	0.968667	+	0.248361i	$0.0798920\pi$
$149$	8.53752	+	14.7874i	0.699421	+	1.21143i	−0.269247	+	0.963071i	$0.586775\pi$
$150$	−13.3237	−	12.4870i	−1.08788	−	1.01956i
$151$	7.85973	+	13.6135i	0.639616	+	1.10785i	0.985517	+	0.169576i	$0.0542399\pi$
$151$	7.85973	+	13.6135i	0.639616	+	1.10785i	−0.345901	+	0.938271i	$0.612427\pi$
$152$	−3.92648	−	1.17607i	−0.318479	−	0.0953918i
$153$	0.928222	−	3.21897i	0.0750423	−	0.260238i
$154$	3.25370	+	1.87853i	0.262191	+	0.151376i
$155$	−1.06947	+	1.11522i	−0.0859022	+	0.0895769i
$156$	0.597511	−	2.14833i	0.0478392	−	0.172004i
$157$	4.43602	+	1.18863i	0.354033	+	0.0948629i	0.431452	−	0.902136i	$-0.358001\pi$
$157$	4.43602	+	1.18863i	0.354033	+	0.0948629i	−0.0774191	+	0.996999i	$0.524668\pi$
$158$	16.5198	−	16.5198i	1.31424	−	1.31424i
$159$	−22.9289	+	5.91159i	−1.81838	+	0.468819i
$160$	9.28383	+	15.3296i	0.733951	+	1.21191i
$161$	10.5303	−	6.07969i	0.829906	−	0.479146i
$162$	−5.60240	+	18.1311i	−0.440166	+	1.42451i
$163$	−1.06864	−	1.06864i	−0.0837022	−	0.0837022i	0.664016	−	0.747718i	$-0.268851\pi$
$163$	−1.06864	−	1.06864i	−0.0837022	−	0.0837022i	−0.747718	+	0.664016i	$0.768851\pi$
$164$	2.46085	+	4.26232i	0.192160	+	0.332832i
$165$	1.19725	−	1.22502i	0.0932055	−	0.0953677i
$166$	−17.0637	−	29.5552i	−1.32440	−	2.29393i
$167$	−2.78223	−	2.78223i	−0.215295	−	0.215295i	0.591217	−	0.806512i	$-0.298648\pi$
$167$	−2.78223	−	2.78223i	−0.215295	−	0.215295i	−0.806512	+	0.591217i	$0.798648\pi$
$168$	3.33454	−	5.65129i	0.257265	−	0.436006i
$169$		−	12.7230i		−	0.978689i
$170$	3.80013	+	3.64424i	0.291457	+	0.279500i
$171$	−13.0615	−	0.629581i	−0.998840	−	0.0481453i
$172$	14.9773	−	14.9773i	1.14201	−	1.14201i
$173$	10.3020	−	10.3020i	0.783246	−	0.783246i	−0.197131	−	0.980377i	$-0.563162\pi$
$173$	10.3020	−	10.3020i	0.783246	−	0.783246i	0.980377	+	0.197131i	$0.0631624\pi$
$174$	−12.1212	+	11.8937i	−0.918907	+	0.901662i
$175$	14.8277	+	13.6351i	1.12087	+	1.03072i
$176$	−1.11428	+	0.643327i	−0.0839917	+	0.0484926i
$177$	14.1753	+	8.36411i	1.06548	+	0.628685i
$178$	0.462423	−	1.72579i	0.0346601	−	0.129353i
$179$	−2.90582			−0.217191			−0.108596	−	0.994086i	$-0.534635\pi$
$179$	−2.90582			−0.217191			−0.108596	+	0.994086i	$0.534635\pi$
$180$	−11.6253	−	11.5791i	−0.866501	−	0.863053i
$181$	2.34379	+	4.05955i	0.174212	+	0.301744i	0.939888	−	0.341482i	$-0.110929\pi$
$181$	2.34379	+	4.05955i	0.174212	+	0.301744i	−0.765676	+	0.643226i	$0.777595\pi$
$182$	−1.15724	+	4.31889i	−0.0857805	+	0.320137i
$183$	0.154568	−	16.3176i	0.0114260	−	1.20623i
$184$		−	2.83804i		−	0.209223i
$185$	−4.91897	+	2.97899i	−0.361650	+	0.219020i
$186$	−1.80132	+	1.76751i	−0.132079	+	0.129600i
$187$	−0.349233	+	0.349233i	−0.0255385	+	0.0255385i
$188$	0.455449	+	1.69976i	0.0332170	+	0.123968i
$189$	5.99051	−	20.0588i	0.435746	−	1.45906i
$190$	10.4228	−	17.7125i	0.756151	−	1.28500i
$191$	23.4491	−	13.5384i	1.69672	−	0.979602i	0.747885	−	0.663828i	$-0.231069\pi$
$191$	23.4491	−	13.5384i	1.69672	−	0.979602i	0.948835	−	0.315774i	$-0.102264\pi$
$192$	9.43877	+	16.7120i	0.681184	+	1.20609i
$193$	3.13956	−	11.7170i	0.225991	−	0.843408i	−0.756015	−	0.654555i	$-0.772856\pi$
$193$	3.13956	−	11.7170i	0.225991	−	0.843408i	0.982005	−	0.188854i	$-0.0604772\pi$
$194$	24.5389			1.76179
$195$	1.77699	+	0.998955i	0.127253	+	0.0715366i
$196$	−11.2895	+	19.5540i	−0.806395	+	1.39672i
$197$	16.4686	+	16.4686i	1.17334	+	1.17334i	0.981408	+	0.191933i	$0.0614756\pi$
$197$	16.4686	+	16.4686i	1.17334	+	1.17334i	0.191933	+	0.981408i	$0.438524\pi$
$198$	2.01536	−	1.94041i	0.143225	−	0.137899i
$199$	−0.948298	+	0.547500i	−0.0672231	+	0.0388113i	−0.533235	−	0.845967i	$-0.679024\pi$
$199$	−0.948298	+	0.547500i	−0.0672231	+	0.0388113i	0.466012	+	0.884779i	$0.345690\pi$
$200$	4.48654	−	1.40594i	0.317247	−	0.0994149i
$201$	4.31580	−	15.5173i	0.304413	−	1.09451i
$202$	−2.97653	−	11.1086i	−0.209428	−	0.781595i
$203$	13.2465	−	13.2465i	0.929725	−	0.929725i
$204$	3.31347	+	3.37684i	0.231989	+	0.236426i
$205$	−4.32072	+	1.25526i	−0.301772	+	0.0876709i
$206$	16.6139	+	9.59204i	1.15755	+	0.668309i
$207$	−2.17735	−	8.78867i	−0.151336	−	0.610855i
$208$	−1.08275	−	1.08275i	−0.0750751	−	0.0750751i
$209$	1.64067	+	1.01228i	0.113487	+	0.0700206i
$210$	23.5294	+	22.9959i	1.62368	+	1.58687i
$211$	−4.08708	−	7.07904i	−0.281366	−	0.487341i	0.690355	−	0.723471i	$-0.257454\pi$
$211$	−4.08708	−	7.07904i	−0.281366	−	0.487341i	−0.971722	+	0.236130i	$0.924121\pi$
$212$	8.65454	−	32.2992i	0.594396	−	2.21832i
$213$	9.35323	+	0.0885978i	0.640873	+	0.00607062i
$214$			39.9166i			2.72864i
$215$	10.0307	+	16.5628i	0.684087	+	1.12958i
$216$	−3.35545	−	3.55178i	−0.228309	−	0.241668i
$217$	1.96855	−	1.96855i	0.133634	−	0.133634i
$218$	8.76504	+	32.7116i	0.593644	+	2.21551i
$219$	−11.9834	+	11.7585i	−0.809764	+	0.794567i
$220$	0.674849	+	2.32290i	0.0454983	+	0.156610i
$221$	−0.509028	−	0.293888i	−0.0342409	−	0.0197690i
$222$	−8.17824	+	4.61898i	−0.548887	+	0.310006i
$223$	3.70996	+	3.70996i	0.248438	+	0.248438i	0.820329	−	0.571892i	$-0.193790\pi$
$223$	3.70996	+	3.70996i	0.248438	+	0.248438i	−0.571892	+	0.820329i	$0.693790\pi$
$224$	−16.1450	−	27.9640i	−1.07873	−	1.86842i
$225$	12.8150	−	7.79589i	0.854333	−	0.519726i
$226$	−3.87713	+	6.71538i	−0.257903	+	0.446700i
$227$	−6.30213	+	23.5199i	−0.418287	+	1.56107i	0.359872	+	0.933002i	$0.382820\pi$
$227$	−6.30213	+	23.5199i	−0.418287	+	1.56107i	−0.778159	+	0.628067i	$0.783846\pi$
$228$	9.84503	−	15.6234i	0.652003	−	1.03469i
$229$	13.4397	+	7.75944i	0.888123	+	0.512758i	0.873328	−	0.487133i	$-0.161957\pi$
$229$	13.4397	+	7.75944i	0.888123	+	0.512758i	0.0147948	+	0.999891i	$0.495290\pi$
$230$	13.8192	+	3.39441i	0.911212	+	0.223821i
$231$	−2.20285	+	2.16151i	−0.144937	+	0.142217i
$232$	−1.13167	−	4.22347i	−0.0742981	−	0.277284i
$233$	4.54264	+	16.9534i	0.297598	+	1.11065i	0.939132	+	0.343557i	$0.111632\pi$
$233$	4.54264	+	16.9534i	0.297598	+	1.11065i	−0.641533	+	0.767095i	$0.721701\pi$
$234$	2.85135	+	1.71906i	0.186399	+	0.112378i
$235$	−1.60836	+	0.0336808i	−0.104918	+	0.00219710i
$236$	−20.1290	+	11.6215i	−1.31029	+	0.756494i
$237$	9.43762	+	16.7100i	0.613039	+	1.08543i
$238$	−6.70784	−	6.70784i	−0.434805	−	0.434805i
$239$	−3.14492	+	5.44716i	−0.203428	+	0.352347i	−0.949631	−	0.313371i	$-0.898542\pi$
$239$	−3.14492	+	5.44716i	−0.203428	+	0.352347i	0.746203	+	0.665719i	$0.231875\pi$
$240$	−10.8492	+	3.04077i	−0.700311	+	0.196281i
$241$	−0.204625	+	0.354421i	−0.0131811	+	0.0228303i	−0.872541	−	0.488541i	$-0.837529\pi$
$241$	−0.204625	+	0.354421i	−0.0131811	+	0.0228303i	0.859360	+	0.511372i	$0.170862\pi$
$242$	22.0053	−	5.89630i	1.41455	−	0.379029i
$243$	−13.1159	−	8.42462i	−0.841383	−	0.540440i
$244$	19.9571	+	11.5222i	1.27762	+	0.737634i
$245$	−14.8981	−	14.2869i	−0.951805	−	0.912759i
$246$	−7.11598	+	1.83466i	−0.453698	+	0.116974i
$247$	−0.658296	+	2.19782i	−0.0418864	+	0.139844i
$248$	−0.168177	−	0.627643i	−0.0106792	−	0.0398554i
$249$	27.1460	−	6.99885i	1.72031	−	0.443534i
$250$	1.47982	+	23.5278i	0.0935923	+	1.48803i
$251$	13.3649	−	7.71625i	0.843588	−	0.487046i	−0.0148945	−	0.999889i	$-0.504741\pi$
$251$	13.3649	−	7.71625i	0.843588	−	0.487046i	0.858482	+	0.512844i	$0.171408\pi$
$252$	20.5043	+	21.2963i	1.29165	+	1.34154i
$253$	−0.345480	+	1.28935i	−0.0217201	+	0.0810606i
$254$	−16.7131	−	28.9480i	−1.04868	−	1.81636i
$255$	−3.72052	+	2.20530i	−0.232988	+	0.138101i
$256$	6.69492			0.418433
$257$	−13.5356	−	13.5356i	−0.844325	−	0.844325i	0.145093	−	0.989418i	$-0.453652\pi$
$257$	−13.5356	−	13.5356i	−0.844325	−	0.844325i	−0.989418	+	0.145093i	$0.953652\pi$
$258$	15.5527	+	27.5373i	0.968271	+	1.71439i
$259$	8.97308	−	5.18061i	0.557560	−	0.321907i
$260$	−2.46240	+	1.49126i	−0.152711	+	0.0924841i
$261$	−6.74474	−	12.2107i	−0.417489	−	0.755825i
$262$	−20.4978	−	5.49237i	−1.26636	−	0.339319i
$263$	−11.9809	+	11.9809i	−0.738773	+	0.738773i	−0.972341	−	0.233567i	$-0.924960\pi$
$263$	−11.9809	+	11.9809i	−0.738773	+	0.738773i	0.233567	+	0.972341i	$0.424960\pi$
$264$	0.179837	+	0.697522i	0.0110682	+	0.0429295i
$265$	26.7878	+	14.7269i	1.64556	+	0.904668i
$266$	−19.4431	+	31.5129i	−1.19214	+	1.93218i
$267$	1.26401	+	0.745828i	0.0773561	+	0.0456440i
$268$	16.0831	+	16.0831i	0.982435	+	0.982435i
$269$	2.13856	−	3.70409i	0.130390	−	0.225842i	−0.793437	−	0.608653i	$-0.791710\pi$
$269$	2.13856	−	3.70409i	0.130390	−	0.225842i	0.923827	+	0.382810i	$0.125044\pi$
$270$	21.3078	−	12.0905i	1.29675	−	0.735806i
$271$	14.0242	−	24.2906i	0.851909	−	1.47555i	−0.0275739	−	0.999620i	$-0.508778\pi$
$271$	14.0242	−	24.2906i	0.851909	−	1.47555i	0.879483	−	0.475930i	$-0.157889\pi$
$272$	3.13802	−	0.840831i	0.190271	−	0.0509829i
$273$	−3.16326	−	1.86648i	−0.191449	−	0.112965i
$274$	6.62310	+	3.82385i	0.400116	+	0.231007i
$275$	−2.20942	+	0.0925762i	−0.133233	+	0.00558255i
$276$	12.3188	+	3.42619i	0.741504	+	0.206233i
$277$	9.05413	+	2.42605i	0.544010	+	0.145767i	0.520350	−	0.853953i	$-0.325801\pi$
$277$	9.05413	+	2.42605i	0.544010	+	0.145767i	0.0236600	+	0.999720i	$0.492468\pi$
$278$	2.04892	−	2.04892i	0.122886	−	0.122886i
$279$	−1.00233	−	1.81462i	−0.0600077	−	0.108638i
$280$	−8.13480	+	2.36333i	−0.486147	+	0.141236i
$281$	17.4500	+	10.0748i	1.04098	+	0.601010i	0.920111	−	0.391658i	$-0.128098\pi$
$281$	17.4500	+	10.0748i	1.04098	+	0.601010i	0.120870	+	0.992668i	$0.461432\pi$
$282$	−2.62735	−	0.0248874i	−0.156456	−	0.00148202i
$283$	2.88228	−	10.7568i	0.171334	−	0.639427i	−0.825813	−	0.563944i	$-0.809283\pi$
$283$	2.88228	−	10.7568i	0.171334	−	0.639427i	0.997147	−	0.0754830i	$-0.0240499\pi$
$284$	−6.60451	+	11.4393i	−0.391905	+	0.678800i
$285$	11.7235	+	12.1474i	0.694442	+	0.719548i
$286$	−0.245422	−	0.425083i	−0.0145121	−	0.0251357i
$287$	7.83041	−	2.09815i	0.462214	−	0.123850i
$288$	−23.3389	+	5.78209i	−1.37526	+	0.340713i
$289$	−13.6425	+	7.87648i	−0.802498	+	0.463322i
$290$	21.9187	−	0.459003i	1.28711	−	0.0269536i
$291$	−5.40129	+	19.4202i	−0.316629	+	1.13843i
$292$	−6.13630	−	22.9010i	−0.359100	−	1.34018i
$293$	−1.29305	−	4.82572i	−0.0755406	−	0.281921i	0.917815	−	0.397009i	$-0.129952\pi$
$293$	−1.29305	−	4.82572i	−0.0755406	−	0.281921i	−0.993355	+	0.115088i	$0.963285\pi$
$294$	−23.6119	−	24.0635i	−1.37708	−	1.40341i
$295$	−5.92799	−	20.4047i	−0.345141	−	1.18801i
$296$		−	2.41835i		−	0.140564i
$297$	1.09205	+	2.02207i	0.0633669	+	0.117332i
$298$	9.31839	−	34.7767i	0.539800	−	2.01456i
$299$	−1.58857			−0.0918696
$300$	0.686282	+	21.1715i	0.0396225	+	1.22234i
$301$	−17.4438	−	30.2136i	−1.00545	−	1.74148i
$302$	8.57861	−	32.0158i	0.493643	−	1.84230i
$303$	9.44652	+	0.0894815i	0.542688	+	0.00514058i
$304$	−6.01688	−	11.1625i	−0.345092	−	0.640213i
$305$	−14.5814	+	15.2052i	−0.834929	+	0.870646i
$306$	−6.18333	+	3.41543i	−0.353477	+	0.195247i
$307$	−0.843864	−	3.14934i	−0.0481619	−	0.179743i	0.937655	−	0.347568i	$-0.112992\pi$
$307$	−0.843864	−	3.14934i	−0.0481619	−	0.179743i	−0.985817	+	0.167825i	$0.946326\pi$
$308$	−1.12800	−	4.20977i	−0.0642740	−	0.239874i
$309$	−11.2481	+	11.0370i	−0.639881	+	0.627872i
$310$	3.25731	−	0.0682118i	0.185003	−	0.00387417i
$311$	16.2259	+	9.36805i	0.920088	+	0.531213i	0.883663	−	0.468123i	$-0.155070\pi$
$311$	16.2259	+	9.36805i	0.920088	+	0.531213i	0.0364251	+	0.999336i	$0.488403\pi$
$312$	−0.746438	+	0.421580i	−0.0422587	+	0.0238673i
$313$	−10.7768	+	2.88764i	−0.609143	+	0.163219i	−0.550187	−	0.835041i	$-0.685444\pi$
$313$	−10.7768	+	2.88764i	−0.609143	+	0.163219i	−0.0589555	+	0.998261i	$0.518777\pi$
$314$	−4.84176	−	8.38617i	−0.273236	−	0.473259i
$315$	−23.3782	+	13.5596i	−1.31721	+	0.763997i
$316$	−27.1010			−1.52455
$317$	−9.38118	+	2.51368i	−0.526900	+	0.141182i	−0.512456	−	0.858713i	$-0.671264\pi$
$317$	−9.38118	+	2.51368i	−0.526900	+	0.141182i	−0.0144435	+	0.999896i	$0.504598\pi$
$318$	43.0002	+	25.3723i	2.41133	+	1.42281i
$319$			2.05652i			0.115143i
$320$	5.91062	−	24.0631i	0.330414	−	1.34517i
$321$	−31.5902	−	8.78610i	−1.76319	−	0.490392i
$322$	−24.7650	−	6.63576i	−1.38010	−	0.369796i
$323$	−3.33991	−	3.54102i	−0.185837	−	0.197028i
$324$	19.4677	−	10.2768i	1.08154	−	0.570933i
$325$	−0.786964	−	2.51131i	−0.0436529	−	0.139302i
$326$			3.18661i			0.176490i
$327$	−27.8174	−	0.263498i	−1.53830	−	0.0145715i
$328$	0.489716	−	1.82765i	0.0270401	−	0.100915i
$329$	2.89846			0.159797
$330$	−3.61152	+	0.0414112i	−0.198808	+	0.00227961i
$331$	8.98595	+	15.5641i	0.493913	+	0.855482i	0.999975	−	0.00701498i	$-0.00223296\pi$
$331$	8.98595	+	15.5641i	0.493913	+	0.855482i	−0.506063	+	0.862497i	$0.668900\pi$
$332$	−10.2463	+	38.2397i	−0.562338	+	2.09868i
$333$	−1.85536	−	7.48898i	−0.101673	−	0.410394i
$334$			8.29641i			0.453960i
$335$	−17.7858	+	10.7713i	−0.971743	+	0.588500i
$336$	19.6577	−	5.06819i	1.07241	−	0.276492i
$337$	−12.2993	−	3.29558i	−0.669984	−	0.179522i	−0.0922362	−	0.995737i	$-0.529401\pi$
$337$	−12.2993	−	3.29558i	−0.669984	−	0.179522i	−0.577747	+	0.816216i	$0.696068\pi$
$338$	−18.9695	+	18.9695i	−1.03181	+	1.03181i
$339$	−4.46118	−	4.54650i	−0.242298	−	0.246932i
$340$	−0.127873	−	6.10633i	−0.00693491	−	0.331162i
$341$			0.305616i			0.0165501i
$342$	18.5356	+	20.4130i	1.00229	+	1.10381i
$343$	6.35605	+	6.35605i	0.343195	+	0.343195i
$344$	−8.14291			−0.439036
$345$	−5.72811	+	10.1894i	−0.308391	+	0.548581i
$346$	−30.7199			−1.65151
$347$	−5.42132	+	20.2326i	−0.291032	+	1.08615i	0.653286	+	0.757111i	$0.273390\pi$
$347$	−5.42132	+	20.2326i	−0.291032	+	1.08615i	−0.944318	+	0.329034i	$0.893277\pi$
$348$	19.6985	+	0.186593i	1.05595	+	0.0100024i
$349$	26.1014	−	15.0696i	1.39718	−	0.806659i	0.403079	−	0.915165i	$-0.367940\pi$
$349$	26.1014	−	15.0696i	1.39718	−	0.806659i	0.994096	+	0.108506i	$0.0346065\pi$
$350$	−1.77814	−	42.4372i	−0.0950458	−	2.26836i
$351$	−1.98808	+	1.87819i	−0.106116	+	0.100250i
$352$	3.42395	+	0.917445i	0.182497	+	0.0489000i
$353$	−7.73792	−	2.07337i	−0.411848	−	0.110354i	0.0469451	−	0.998897i	$-0.485051\pi$
$353$	−7.73792	−	2.07337i	−0.411848	−	0.110354i	−0.458793	+	0.888543i	$0.651718\pi$
$354$	−8.66424	−	33.6055i	−0.460499	−	1.78611i
$355$	−8.71557	−	8.35803i	−0.462575	−	0.443598i
$356$	−1.79490	+	1.03629i	−0.0951296	+	0.0549231i
$357$	6.78509	−	3.83214i	0.359105	−	0.202819i
$358$	4.33248	+	4.33248i	0.228979	+	0.228979i
$359$	−11.1932	+	19.3871i	−0.590753	+	1.02321i	0.403378	+	0.915033i	$0.367836\pi$
$359$	−11.1932	+	19.3871i	−0.590753	+	1.02321i	−0.994131	+	0.108181i	$0.965497\pi$
$360$	0.0125765	+	6.30794i	0.000662841	+	0.332458i
$361$	−10.4448	+	15.8715i	−0.549727	+	0.835344i
$362$	2.55816	−	9.54717i	0.134454	−	0.501788i
$363$	−0.177257	+	18.7129i	−0.00930358	+	0.982174i
$364$	4.49186	−	2.59337i	0.235437	−	0.135930i
$365$	21.6696	−	0.453785i	1.13424	−	0.0237522i
$366$	−24.5595	+	24.0986i	−1.28375	+	1.25965i
$367$	−4.68693	−	17.4919i	−0.244656	−	0.913067i	−0.973556	−	0.228448i	$-0.926635\pi$
$367$	−4.68693	−	17.4919i	−0.244656	−	0.913067i	0.728901	−	0.684620i	$-0.240032\pi$
$368$	6.20860	−	6.20860i	0.323646	−	0.323646i
$369$	0.114351	−	6.03544i	0.00595287	−	0.314193i
$370$	11.7756	+	2.89244i	0.612184	+	0.150371i
$371$	−47.6983	−	27.5386i	−2.47637	−	1.42973i
$372$	2.92737	+	0.0277293i	0.151777	+	0.00143770i
$373$	−4.76817	+	1.27763i	−0.246886	+	0.0661530i	−0.380140	−	0.924929i	$-0.624124\pi$
$373$	−4.76817	+	1.27763i	−0.246886	+	0.0661530i	0.133254	+	0.991082i	$0.457457\pi$
$374$	1.04139			0.0538490
$375$	−18.9457	−	4.00759i	−0.978351	−	0.206951i
$376$	0.338256	−	0.585877i	0.0174442	−	0.0302143i
$377$	−2.36405	+	0.633446i	−0.121755	+	0.0326241i
$378$	−38.8386	+	20.9753i	−1.99764	+	1.07885i
$379$			26.6608i			1.36947i	0.728791	+	0.684736i	$0.240082\pi$
$379$			26.6608i			1.36947i	−0.728791	+	0.684736i	$0.759918\pi$
$380$	−23.0783	+	5.97941i	−1.18389	+	0.306737i
$381$	26.5883	−	6.85507i	1.36216	−	0.351196i
$382$	−55.1471	−	14.7766i	−2.82157	−	0.756038i
$383$	−17.9670	−	4.81425i	−0.918073	−	0.245997i	−0.231312	−	0.972880i	$-0.574302\pi$
$383$	−17.9670	−	4.81425i	−0.918073	−	0.245997i	−0.686762	+	0.726883i	$0.740968\pi$
$384$	3.40459	−	12.2411i	0.173740	−	0.624676i
$385$	3.98340	−	0.0834169i	0.203013	−	0.00425132i
$386$	−22.1506	+	12.7887i	−1.12744	+	0.650927i
$387$	−25.2164	+	6.24724i	−1.28182	+	0.317565i
$388$	−20.1283	−	20.1283i	−1.02186	−	1.02186i
$389$	−6.16791	+	10.6831i	−0.312726	+	0.541657i	−0.978951	−	0.204093i	$-0.934575\pi$
$389$	−6.16791	+	10.6831i	−0.312726	+	0.541657i	0.666226	+	0.745750i	$0.267909\pi$
$390$	−1.16002	−	4.13884i	−0.0587399	−	0.209578i
$391$	1.68518	−	2.91882i	0.0852234	−	0.147611i
$392$	8.38459	−	2.24664i	0.423486	−	0.113473i
$393$	8.85847	−	15.0131i	0.446851	−	0.757311i
$394$		−	49.1083i		−	2.47404i
$395$	5.90991	−	24.0602i	0.297360	−	1.21060i
$396$	−3.24476	−	0.0614772i	−0.163056	−	0.00308934i
$397$	5.26157	+	19.6365i	0.264071	+	0.985526i	0.962817	+	0.270156i	$0.0870751\pi$
$397$	5.26157	+	19.6365i	0.264071	+	0.985526i	−0.698746	+	0.715370i	$0.746258\pi$
$398$	2.23019	+	0.597576i	0.111789	+	0.0299538i
$399$	−20.6598	−	22.3237i	−1.03428	−	1.11758i
$400$	12.8906	+	6.73923i	0.644529	+	0.336962i
$401$	−23.8358	+	13.7616i	−1.19030	+	0.687223i	−0.958376	−	0.285510i	$-0.907837\pi$
$401$	−23.8358	+	13.7616i	−1.19030	+	0.687223i	−0.231929	+	0.972733i	$0.574504\pi$
$402$	−29.5706	+	16.7011i	−1.47485	+	0.832976i
$403$	−0.351319	+	0.0941355i	−0.0175004	+	0.00468922i
$404$	−6.67038	+	11.5534i	−0.331864	+	0.574805i
$405$	4.87840	+	19.5244i	0.242410	+	0.970174i
$406$	−39.5003			−1.96037
$407$	−0.294390	+	1.09868i	−0.0145923	+	0.0544594i
$408$	0.0172276	−	1.81871i	0.000852895	−	0.0900397i
$409$			8.67644i			0.429022i	0.976722	+	0.214511i	$0.0688158\pi$
$409$			8.67644i			0.429022i	−0.976722	+	0.214511i	$0.931184\pi$
$410$	8.31359	+	4.57050i	0.410579	+	0.225721i
$411$	−4.48403	+	4.39988i	−0.221181	+	0.217030i
$412$	−5.75976	−	21.4957i	−0.283763	−	1.05902i
$413$	9.90859	+	36.9794i	0.487570	+	1.81964i
$414$	−9.85726	+	16.3500i	−0.484458	+	0.803557i
$415$	−31.7147	−	17.4355i	−1.55681	−	0.855877i
$416$			4.21857i			0.206832i
$417$	1.17053	+	2.07251i	0.0573212	+	0.101491i
$418$	−0.936913	−	3.95545i	−0.0458259	−	0.193467i
$419$	−10.3108	+	17.8588i	−0.503715	+	0.872459i	0.496276	+	0.868165i	$0.334700\pi$
$419$	−10.3108	+	17.8588i	−0.503715	+	0.872459i	−0.999991	+	0.00429458i	$0.998633\pi$
$420$	−0.437592	−	38.1629i	−0.0213523	−	1.86216i
$421$	35.0706			1.70923			0.854617	−	0.519258i	$-0.173792\pi$
$421$	35.0706			1.70923			0.854617	+	0.519258i	$0.173792\pi$
$422$	−4.46090	+	16.6483i	−0.217153	+	0.810427i
$423$	0.598005	−	2.07382i	0.0290760	−	0.100832i
$424$	−11.1330	+	6.42762i	−0.540664	+	0.312153i
$425$	5.44907	+	1.21808i	0.264319	+	0.0590855i
$426$	−13.8133	−	14.0774i	−0.669254	−	0.682055i
$427$	26.8396	−	26.8396i	1.29886	−	1.29886i
$428$	32.7420	−	32.7420i	1.58265	−	1.58265i
$429$	0.390433	−	0.100662i	0.0188503	−	0.00486002i
$430$	9.73924	−	39.6501i	0.469668	−	1.91210i
$431$	2.96835	−	1.71378i	0.142980	−	0.0825498i	−0.426803	−	0.904344i	$-0.640360\pi$
$431$	2.96835	−	1.71378i	0.142980	−	0.0825498i	0.569784	+	0.821795i	$0.307027\pi$
$432$	0.429502	−	15.1105i	0.0206644	−	0.727004i
$433$	−7.55435	+	28.1932i	−0.363039	+	1.35488i	0.507021	+	0.861934i	$0.330747\pi$
$433$	−7.55435	+	28.1932i	−0.363039	+	1.35488i	−0.870060	+	0.492946i	$0.835920\pi$
$434$	−5.87008			−0.281773
$435$	−4.46131	+	17.4476i	−0.213903	+	0.836549i
$436$	19.6424	−	34.0217i	0.940701	−	1.62934i
$437$	−12.6025	−	3.77474i	−0.602860	−	0.180570i
$438$	35.3984	+	0.335309i	1.69140	+	0.0160217i
$439$		−	19.7625i		−	0.943211i	−0.881810	−	0.471606i	$-0.843675\pi$
$439$		−	19.7625i		−	0.943211i	0.881810	−	0.471606i	$-0.156325\pi$
$440$	0.448009	−	0.814915i	0.0213580	−	0.0388495i
$441$	24.2412	−	13.3899i	1.15434	−	0.637615i
$442$	0.320768	+	1.19712i	0.0152574	+	0.0569412i
$443$	5.90559	+	22.0400i	0.280583	+	1.04715i	0.952007	+	0.306076i	$0.0990163\pi$
$443$	5.90559	+	22.0400i	0.280583	+	1.04715i	−0.671424	+	0.741073i	$0.734317\pi$
$444$	10.4971	+	2.91952i	0.498168	+	0.138554i
$445$	−0.528599	−	1.81949i	−0.0250580	−	0.0862522i
$446$		−	11.0629i		−	0.523842i
$447$	25.4713	+	15.0294i	1.20475	+	0.710864i
$448$	−11.5547	+	43.1228i	−0.545909	+	2.03736i
$449$	21.6907			1.02365			0.511824	−	0.859090i	$-0.328970\pi$
$449$	21.6907			1.02365			0.511824	+	0.859090i	$0.328970\pi$
$450$	−30.7301	−	7.48331i	−1.44863	−	0.352766i
$451$	−0.444965	+	0.770702i	−0.0209526	+	0.0362909i
$452$	8.68862	−	2.32811i	0.408678	−	0.109505i
$453$	23.4492	+	13.8362i	1.10174	+	0.650081i
$454$	44.4636	−	25.6711i	2.08678	−	1.20480i
$455$	1.32285	+	4.55339i	0.0620163	+	0.213466i
$456$	−6.92341	+	1.57082i	−0.324218	+	0.0735602i
$457$	14.6199	+	3.91740i	0.683891	+	0.183248i	0.584004	−	0.811751i	$-0.301485\pi$
$457$	14.6199	+	3.91740i	0.683891	+	0.183248i	0.0998869	+	0.994999i	$0.468152\pi$
$458$	−8.46914	−	31.6073i	−0.395737	−	1.47691i
$459$	−1.34197	−	5.64529i	−0.0626376	−	0.263499i
$460$	−8.55106	−	14.1197i	−0.398695	−	0.658333i
$461$		−	23.9875i		−	1.11721i	−0.829434	−	0.558605i	$-0.811337\pi$
$461$		−	23.9875i		−	1.11721i	0.829434	−	0.558605i	$-0.188663\pi$
$462$	6.50712	+	0.0616382i	0.302738	+	0.00286767i
$463$	−16.7334	+	4.48370i	−0.777668	+	0.208375i	−0.625756	−	0.780019i	$-0.715210\pi$
$463$	−16.7334	+	4.48370i	−0.777668	+	0.208375i	−0.151911	+	0.988394i	$0.548543\pi$
$464$	6.76371	−	11.7151i	0.313997	−	0.543859i
$465$	−0.662988	+	2.59286i	−0.0307453	+	0.120241i
$466$	18.5040	−	32.0499i	0.857181	−	1.48468i
$467$	8.17586	+	8.17586i	0.378334	+	0.378334i	0.870501	−	0.492167i	$-0.163795\pi$
$467$	8.17586	+	8.17586i	0.378334	+	0.378334i	−0.492167	+	0.870501i	$0.663795\pi$
$468$	−0.928778	−	3.74893i	−0.0429328	−	0.173294i
$469$	32.4445	−	18.7318i	1.49815	−	0.864956i
$470$	2.44823	+	2.34779i	0.112928	+	0.108296i
$471$	7.70258	−	1.98590i	0.354916	−	0.0915053i
$472$	8.63113	+	2.31270i	0.397280	+	0.106451i
$473$	3.69940	+	0.991250i	0.170098	+	0.0455777i
$474$	10.8429	−	38.9852i	0.498029	−	1.79065i
$475$	−0.275835	−	21.7927i	−0.0126562	−	0.999920i
$476$			11.0044i			0.504384i
$477$	−29.5445	+	28.4458i	−1.35275	+	1.30245i
$478$	12.8105	−	3.43256i	0.585939	−	0.157002i
$479$	−11.8855	+	20.5863i	−0.543063	+	0.940612i	0.455663	+	0.890152i	$0.349402\pi$
$479$	−11.8855	+	20.5863i	−0.543063	+	0.940612i	−0.998726	+	0.0504599i	$0.983931\pi$
$480$	27.0587	+	15.2114i	1.23506	+	0.694302i
$481$	−1.35365			−0.0617212
$482$	0.833519	−	0.223341i	0.0379658	−	0.0101729i
$483$	10.7026	−	18.1385i	0.486986	−	0.825330i
$484$	−22.8866	−	13.2136i	−1.04030	−	0.600617i
$485$	22.2592	−	13.4805i	1.01074	−	0.612117i
$486$	6.99448	+	32.1161i	0.317276	+	1.45682i
$487$	−1.04499	+	1.04499i	−0.0473528	+	0.0473528i	−0.730387	−	0.683034i	$-0.760660\pi$
$487$	−1.04499	+	1.04499i	−0.0473528	+	0.0473528i	0.683034	+	0.730387i	$0.260660\pi$
$488$	−2.29295	−	8.55740i	−0.103797	−	0.387376i
$489$	−2.52189	−	0.701408i	−0.114044	−	0.0317188i
$490$	0.911230	+	43.5139i	0.0411652	+	1.96576i
$491$	−20.6908	+	11.9458i	−0.933762	+	0.539108i	−0.887999	−	0.459845i	$-0.847905\pi$
$491$	−20.6908	+	11.9458i	−0.933762	+	0.539108i	−0.0457627	+	0.998952i	$0.514572\pi$
$492$	7.34186	+	4.33206i	0.330997	+	0.195304i
$493$	1.34394	−	5.01565i	0.0605280	−	0.225893i
$494$	4.25837	−	2.29537i	0.191593	−	0.103274i
$495$	0.762163	−	2.86729i	0.0342567	−	0.128875i
$496$	1.00514	−	1.74096i	0.0451323	−	0.0781715i
$497$	15.3844	+	15.3844i	0.690084	+	0.690084i
$498$	−50.9089	−	30.0388i	−2.28128	−	1.34607i
$499$	−27.2670	+	15.7426i	−1.22064	+	0.704735i	−0.965054	−	0.262052i	$-0.915601\pi$
$499$	−27.2670	+	15.7426i	−1.22064	+	0.704735i	−0.255583	+	0.966787i	$0.582267\pi$
$500$	18.0851	−	20.5127i	0.808789	−	0.917358i
$501$	−6.56582	−	1.82613i	−0.293339	−	0.0815857i
$502$	−31.4314	−	8.42201i	−1.40285	−	0.375893i
$503$	12.7754	+	3.42316i	0.569627	+	0.152631i	0.532126	−	0.846665i	$-0.321393\pi$
$503$	12.7754	+	3.42316i	0.569627	+	0.152631i	0.0375017	+	0.999297i	$0.488060\pi$
$504$	0.215294	−	11.3632i	0.00958994	−	0.506157i
$505$	−8.80250	−	8.44140i	−0.391706	−	0.375637i
$506$	2.43747	−	1.40728i	0.108359	−	0.0625611i
$507$	−10.8371	−	19.1880i	−0.481295	−	0.852167i
$508$	−10.0358	+	37.4541i	−0.445266	+	1.66176i
$509$	−25.6552			−1.13715			−0.568574	−	0.822632i	$-0.692505\pi$
$509$	−25.6552			−1.13715			−0.568574	+	0.822632i	$0.692505\pi$
$510$	8.83520	+	2.25914i	0.391229	+	0.100036i
$511$	−39.0512			−1.72752
$512$	−20.3561	−	20.3561i	−0.899621	−	0.899621i
$513$	−20.2348	+	10.1760i	−0.893389	+	0.449283i
$514$			40.3622i			1.78030i
$515$	20.3398	−	0.425939i	0.896281	−	0.0187691i
$516$	9.83043	−	35.3450i	0.432761	−	1.55598i
$517$	−0.224993	+	0.224993i	−0.00989516	+	0.00989516i
$518$	−21.1027	−	5.65445i	−0.927199	−	0.248442i
$519$	6.76179	−	24.3118i	0.296810	−	1.06717i
$520$	1.07477	+	0.263996i	0.0471319	+	0.0115770i
$521$			36.0499i			1.57938i	0.613509	+	0.789688i	$0.289757\pi$
$521$			36.0499i			1.57938i	−0.613509	+	0.789688i	$0.710243\pi$
$522$	−8.14961	+	28.2620i	−0.356699	+	1.23699i
$523$	−1.03420	+	3.85970i	−0.0452226	+	0.168773i	−0.984844	−	0.173443i	$-0.944511\pi$
$523$	−1.03420	+	3.85970i	−0.0452226	+	0.168773i	0.939621	+	0.342216i	$0.111177\pi$
$524$	12.3084	+	21.3187i	0.537693	+	0.931312i
$525$	33.9764	+	7.93367i	1.48285	+	0.346254i
$526$	35.7262			1.55774
$527$	0.199721	−	0.745368i	0.00869997	−	0.0324687i
$528$	−1.13251	+	1.91934i	−0.0492860	+	0.0835286i
$529$			13.8909i			0.603954i
$530$	−17.9824	−	61.8971i	−0.781105	−	2.68864i
$531$	28.5026	+	0.540027i	1.23691	+	0.0234352i
$532$	41.7973	−	9.90036i	1.81214	−	0.429235i
$533$	−1.02301	−	0.274115i	−0.0443115	−	0.0118732i
$534$	−0.772591	−	2.99660i	−0.0334333	−	0.129676i
$535$	21.9282	+	36.2083i	0.948041	+	1.56542i
$536$		−	8.74417i		−	0.377691i
$537$	−4.38237	+	2.47512i	−0.189113	+	0.106809i
$538$	−8.71119	+	2.33416i	−0.375566	+	0.100633i
$539$	−4.08268			−0.175854
$540$	−27.3954	−	7.56060i	−1.17891	−	0.325356i
$541$	3.92002	+	6.78968i	0.168535	+	0.291911i	0.937905	−	0.346892i	$-0.112763\pi$
$541$	3.92002	+	6.78968i	0.168535	+	0.291911i	−0.769370	+	0.638803i	$0.779430\pi$
$542$	−57.1261	+	15.3069i	−2.45378	+	0.657487i
$543$	6.99259	+	4.12597i	0.300081	+	0.177062i
$544$	−7.75113	−	4.47512i	−0.332327	−	0.191869i
$545$	25.9209	+	24.8576i	1.11033	+	1.06478i
$546$	1.93346	+	7.49919i	0.0827444	+	0.320935i
$547$	2.87181	+	10.7177i	0.122790	+	0.458257i	0.999751	−	0.0223031i	$-0.00709990\pi$
$547$	2.87181	+	10.7177i	0.122790	+	0.458257i	−0.876962	+	0.480561i	$0.840433\pi$
$548$	−2.29612	−	8.56923i	−0.0980853	−	0.366059i
$549$	−13.6659	−	24.7409i	−0.583246	−	1.05591i
$550$	3.43221	+	3.15615i	0.146350	+	0.134579i
$551$	−20.2598	−	0.592150i	−0.863095	−	0.0252265i
$552$	−2.41739	−	4.28016i	−0.102891	−	0.182176i
$553$	−11.5533	+	43.1176i	−0.491297	+	1.83355i
$554$	−9.88226	−	17.1166i	−0.419857	−	0.727213i
$555$	−4.88103	+	8.68260i	−0.207188	+	0.368556i
$556$	−3.36129			−0.142551
$557$	3.52042	−	13.1384i	0.149165	−	0.556692i	−0.850369	−	0.526186i	$-0.823622\pi$
$557$	3.52042	−	13.1384i	0.149165	−	0.556692i	0.999535	−	0.0305059i	$-0.00971182\pi$
$558$	−1.21110	+	4.19997i	−0.0512700	+	0.177799i
$559$			4.55793i			0.192780i
$560$	−22.9660	−	12.6259i	−0.970493	−	0.533540i
$561$	−0.229222	+	0.824160i	−0.00967774	+	0.0347961i
$562$	−10.9962	−	41.0385i	−0.463849	−	1.73111i
$563$	−0.545250	−	2.03490i	−0.0229795	−	0.0857608i	0.953484	−	0.301444i	$-0.0974687\pi$
$563$	−0.545250	−	2.03490i	−0.0229795	−	0.0857608i	−0.976463	+	0.215683i	$0.930802\pi$
$564$	2.13470	+	2.17552i	0.0898869	+	0.0916061i
$565$	0.172166	+	8.22142i	0.00724306	+	0.345878i
$566$	−20.3355	+	11.7407i	−0.854763	+	0.493498i
$567$	−8.05113	−	35.3540i	−0.338116	−	1.48473i
$568$	4.90509	−	1.31431i	0.205813	−	0.0551474i
$569$	−6.96250	−	12.0594i	−0.291883	−	0.505556i	0.682372	−	0.731005i	$-0.260948\pi$
$569$	−6.96250	−	12.0594i	−0.291883	−	0.505556i	−0.974255	+	0.225449i	$0.927615\pi$
$570$	0.631933	−	35.5907i	0.0264688	−	1.49073i
$571$	−6.42471	+	11.1279i	−0.268866	+	0.465689i	−0.968569	−	0.248744i	$-0.919982\pi$
$571$	−6.42471	+	11.1279i	−0.268866	+	0.465689i	0.699704	+	0.714433i	$0.253315\pi$
$572$	−0.147369	+	0.549989i	−0.00616182	+	0.0229962i
$573$	23.8328	−	40.3912i	0.995629	−	1.68736i
$574$	−14.8031	−	8.54660i	−0.617871	−	0.356728i
$575$	14.4001	−	4.51254i	0.600526	−	0.188186i
$576$	28.4699	+	17.1643i	1.18625	+	0.715178i
$577$	−28.5982	+	28.5982i	−1.19056	+	1.19056i	−0.213649	+	0.976910i	$0.568535\pi$
$577$	−28.5982	+	28.5982i	−1.19056	+	1.19056i	−0.976910	+	0.213649i	$0.931465\pi$
$578$	32.0840	+	8.59689i	1.33452	+	0.357583i
$579$	−5.24541	−	20.3450i	−0.217992	−	0.845511i
$580$	−18.3556	−	17.6026i	−0.762174	−	0.730908i
$581$	56.4710	+	32.6036i	2.34281	+	1.35262i
$582$	37.0080	−	20.9017i	1.53403	−	0.866404i
$583$	5.84025	−	1.56489i	0.241878	−	0.0648111i
$584$	−4.55735	+	7.89357i	−0.188585	+	0.326638i
$585$	3.53082	−	0.00703961i	0.145982	−	0.000291052i
$586$	−5.26709	+	9.12287i	−0.217582	+	0.376862i
$587$	4.78032	+	4.78032i	0.197305	+	0.197305i	0.798844	−	0.601539i	$-0.205445\pi$
$587$	4.78032	+	4.78032i	0.197305	+	0.197305i	−0.601539	+	0.798844i	$0.705445\pi$
$588$	−0.370432	+	39.1063i	−0.0152764	+	1.61272i
$589$	−3.01077	−	0.0879986i	−0.124057	−	0.00362592i
$590$	−21.5843	+	39.2612i	−0.888613	+	1.61636i
$591$	38.8645	+	10.8093i	1.59867	+	0.444635i
$592$	5.29046	−	5.29046i	0.217436	−	0.217436i
$593$	−14.8182	−	3.97052i	−0.608510	−	0.163050i	−0.0586107	−	0.998281i	$-0.518667\pi$
$593$	−14.8182	−	3.97052i	−0.608510	−	0.163050i	−0.549899	+	0.835231i	$0.685334\pi$
$594$	1.38664	−	4.64304i	0.0568943	−	0.190506i
$595$	−9.76964	−	2.39972i	−0.400516	−	0.0983787i
$596$	−36.1695	+	20.8825i	−1.48156	+	0.855379i
$597$	−0.963813	+	1.63344i	−0.0394463	+	0.0668524i
$598$	2.36851	+	2.36851i	0.0968556	+	0.0968556i
$599$	−21.0443			−0.859848			−0.429924	−	0.902865i	$-0.641460\pi$
$599$	−21.0443			−0.859848			−0.429924	+	0.902865i	$0.641460\pi$
$600$	5.56877	−	5.94189i	0.227344	−	0.242577i
$601$	19.4377	+	33.6671i	0.792880	+	1.37331i	0.924176	+	0.381966i	$0.124753\pi$
$601$	19.4377	+	33.6671i	0.792880	+	1.37331i	−0.131296	+	0.991343i	$0.541914\pi$
$602$	−19.0393	+	71.0556i	−0.775984	+	2.89601i
$603$	−6.70853	−	27.0784i	−0.273192	−	1.10272i
$604$	−33.2980	+	19.2246i	−1.35488	+	0.782238i
$605$	16.7218	−	17.4372i	0.679839	−	0.708922i
$606$	−13.9510	−	14.2179i	−0.566722	−	0.577561i
$607$	−10.9657	−	40.9245i	−0.445083	−	1.66107i	−0.715716	−	0.698391i	$-0.753900\pi$
$607$	−10.9657	−	40.9245i	−0.445083	−	1.66107i	0.270633	−	0.962683i	$-0.412767\pi$
$608$	−10.0241	+	33.4668i	−0.406530	+	1.35726i
$609$	8.69446	−	31.2607i	0.352317	−	1.26675i
$610$	44.4108	−	0.930012i	1.79814	−	0.0376551i
$611$	−0.327940	−	0.189336i	−0.0132670	−	0.00765973i
$612$	7.87349	+	2.27040i	0.318267	+	0.0917753i
$613$	−16.9002	+	4.52838i	−0.682591	+	0.182900i	−0.583420	−	0.812171i	$-0.698286\pi$
$613$	−16.9002	+	4.52838i	−0.682591	+	0.182900i	−0.0991711	+	0.995070i	$0.531619\pi$
$614$	−3.43739	+	5.95374i	−0.138722	+	0.240273i
$615$	−5.44703	+	5.57339i	−0.219645	+	0.224741i
$616$	−0.837755	+	1.45103i	−0.0337541	+	0.0584638i
$617$	25.8802	+	25.8802i	1.04190	+	1.04190i	0.999083	+	0.0428159i	$0.0136329\pi$
$617$	25.8802	+	25.8802i	1.04190	+	1.04190i	0.0428159	+	0.999083i	$0.486367\pi$
$618$	33.2263	+	0.314734i	1.33656	+	0.0126605i
$619$	−17.5499	+	10.1324i	−0.705389	+	0.407257i	−0.809352	−	0.587325i	$-0.800181\pi$
$619$	−17.5499	+	10.1324i	−0.705389	+	0.407257i	0.103962	+	0.994581i	$0.466848\pi$
$620$	−2.72780	−	2.61589i	−0.109551	−	0.105057i
$621$	−10.7697	−	11.3999i	−0.432174	−	0.457462i
$622$	−10.2249	−	38.1598i	−0.409980	−	1.53007i
$623$	0.883550	+	3.29745i	0.0353987	+	0.132110i
$624$	−2.55519	−	0.710670i	−0.102290	−	0.0284496i
$625$	14.2674	+	20.5291i	0.570694	+	0.821163i
$626$	20.3733	+	11.7625i	0.814280	+	0.470125i
$627$	3.33658	+	0.129163i	0.133250	+	0.00515826i
$628$	−2.90734	+	10.8504i	−0.116016	+	0.432976i
$629$	1.43597	−	2.48718i	0.0572561	−	0.0991704i
$630$	55.0730	+	14.6391i	2.19416	+	0.583237i
$631$	14.1815	+	24.5631i	0.564557	+	0.977842i	0.997091	+	0.0762238i	$0.0242863\pi$
$631$	14.1815	+	24.5631i	0.564557	+	0.977842i	−0.432534	+	0.901618i	$0.642380\pi$
$632$	7.36721	+	7.36721i	0.293052	+	0.293052i
$633$	−12.1936	−	7.19486i	−0.484654	−	0.285970i
$634$	17.7348	+	10.2392i	0.704341	+	0.406651i
$635$	−31.0631	−	17.0773i	−1.23270	−	0.677693i
$636$	−14.4595	−	56.0833i	−0.573358	−	2.22385i
$637$	−1.25754	−	4.69321i	−0.0498256	−	0.185952i
$638$	3.06620	−	3.06620i	0.121392	−	0.121392i
$639$	14.1814	−	7.83326i	0.561008	−	0.309879i
$640$	−14.0306	+	8.49713i	−0.554609	+	0.335879i
$641$		−	28.7459i		−	1.13539i	−0.823237	−	0.567697i	$-0.807834\pi$
$641$		−	28.7459i		−	1.13539i	0.823237	−	0.567697i	$-0.192166\pi$
$642$	34.0001	+	60.1997i	1.34188	+	2.37589i
$643$	6.60342	−	24.6443i	0.260414	−	0.971877i	−0.704585	−	0.709620i	$-0.748867\pi$
$643$	6.60342	−	24.6443i	0.260414	−	0.971877i	0.964998	−	0.262257i	$-0.0844667\pi$
$644$	14.8707	+	25.7568i	0.585987	+	1.01496i
$645$	29.2355	+	16.4351i	1.15115	+	0.647131i
$646$	−0.299856	+	10.2592i	−0.0117977	+	0.403644i
$647$	−12.6244	−	12.6244i	−0.496315	−	0.496315i	0.413974	−	0.910289i	$-0.364141\pi$
$647$	−12.6244	−	12.6244i	−0.496315	−	0.496315i	−0.910289	+	0.413974i	$0.864141\pi$
$648$	−8.08580	−	2.49847i	−0.317640	−	0.0981491i
$649$	−3.63967	−	2.10136i	−0.142869	−	0.0824857i
$650$	−2.57094	+	4.91761i	−0.100841	+	0.192885i
$651$	1.29207	−	4.64561i	0.0506403	−	0.182076i
$652$	2.61385	−	2.61385i	0.102366	−	0.102366i
$653$	0.776324	+	2.89728i	0.0303799	+	0.113379i	0.979451	−	0.201683i	$-0.0646412\pi$
$653$	0.776324	+	2.89728i	0.0303799	+	0.113379i	−0.949071	+	0.315063i	$0.897974\pi$
$654$	41.0819	+	41.8676i	1.60643	+	1.63715i
$655$	−21.6108	+	6.27837i	−0.844402	+	0.245316i
$656$	5.06954	−	2.92690i	0.197932	−	0.114276i
$657$	−8.05696	+	27.9407i	−0.314332	+	1.09007i
$658$	−4.32151	−	4.32151i	−0.168470	−	0.168470i
$659$	20.3921	−	35.3202i	0.794365	−	1.37588i	−0.128877	−	0.991661i	$-0.541137\pi$
$659$	20.3921	−	35.3202i	0.794365	−	1.37588i	0.923242	−	0.384219i	$-0.125529\pi$
$660$	2.99636	+	2.92842i	0.116633	+	0.113989i
$661$	13.7884			0.536305			0.268152	−	0.963376i	$-0.413587\pi$
$661$	13.7884			0.536305			0.268152	+	0.963376i	$0.413587\pi$
$662$	9.80784	−	36.6033i	0.381192	−	1.42263i
$663$	−1.01801	−	0.00964304i	−0.0395363	−	0.000374505i
$664$	13.1806	−	7.60980i	0.511505	−	0.295317i
$665$	−0.325194	+	39.2664i	−0.0126105	+	1.52269i
$666$	−8.39954	+	13.9321i	−0.325476	+	0.539858i
$667$	−3.63225	−	13.5557i	−0.140641	−	0.524880i
$668$	6.80522	−	6.80522i	0.263302	−	0.263302i
$669$	8.75520	+	2.43506i	0.338495	+	0.0941449i
$670$	42.5777	+	10.4584i	1.64492	+	0.404042i
$671$			4.16683i			0.160859i
$672$	−48.1680	−	28.4215i	−1.85812	−	1.09638i
$673$	2.81280	−	10.4975i	0.108425	−	0.404649i	−0.890286	−	0.455402i	$-0.849496\pi$
$673$	2.81280	−	10.4975i	0.108425	−	0.404649i	0.998711	+	0.0507532i	$0.0161622\pi$
$674$	13.4242	+	23.2514i	0.517081	+	0.895610i
$675$	12.6864	−	22.6728i	0.488299	−	0.872677i
$676$	31.1199			1.19692
$677$	7.25246	−	27.0666i	0.278735	−	1.04025i	−0.674562	−	0.738218i	$-0.735668\pi$
$677$	7.25246	−	27.0666i	0.278735	−	1.04025i	0.953297	−	0.302034i	$-0.0976657\pi$
$678$	−0.127216	+	13.4302i	−0.00488571	+	0.515782i
$679$	−40.6048	+	23.4432i	−1.55827	+	0.899667i
$680$	−1.62520	+	1.69472i	−0.0623235	+	0.0649896i
$681$	10.5293	+	40.8392i	0.403482	+	1.56496i
$682$	0.455664	−	0.455664i	0.0174483	−	0.0174483i
$683$	−23.0252	+	23.0252i	−0.881033	+	0.881033i	−0.993640	−	0.112607i	$-0.964080\pi$
$683$	−23.0252	+	23.0252i	−0.881033	+	0.881033i	0.112607	+	0.993640i	$0.464080\pi$
$684$	1.53993	−	31.9480i	0.0588808	−	1.22156i
$685$	8.10845	−	0.169800i	0.309808	−	0.00648772i
$686$		−	18.9533i		−	0.723641i
$687$	26.8783	+	0.254603i	1.02547	+	0.00971370i
$688$	−17.8137	−	17.8137i	−0.679141	−	0.679141i
$689$	3.59781	+	6.23159i	0.137066	+	0.237405i
$690$	23.7325	−	6.65168i	0.903482	−	0.253225i
$691$	−3.65258	−	6.32645i	−0.138951	−	0.240669i	0.788149	−	0.615484i	$-0.211040\pi$
$691$	−3.65258	−	6.32645i	−0.138951	−	0.240669i	−0.927100	+	0.374815i	$0.877706\pi$
$692$	25.1983	+	25.1983i	0.957896	+	0.957896i
$693$	−1.48107	+	5.13619i	−0.0562612	+	0.195108i
$694$	38.2492	−	22.0832i	1.45192	−	0.838267i
$695$	0.732995	−	2.98415i	0.0278041	−	0.113195i
$696$	−5.30418	−	5.40563i	−0.201054	−	0.204900i
$697$	1.58888	−	1.58888i	0.0601832	−	0.0601832i
$698$	−61.3846	−	16.4480i	−2.32344	−	0.622565i
$699$	21.2914	+	21.6987i	0.805316	+	0.820719i
$700$	−33.3510	+	36.2681i	−1.26055	+	1.37081i
$701$	−23.3416	−	13.4763i	−0.881600	−	0.508992i	−0.0104146	−	0.999946i	$-0.503315\pi$
$701$	−23.3416	−	13.4763i	−0.881600	−	0.508992i	−0.871186	+	0.490954i	$0.836648\pi$
$702$	5.76448	+	0.163850i	0.217566	+	0.00618413i
$703$	−10.7388	−	3.21652i	−0.405023	−	0.121314i
$704$	−2.45047	−	4.24433i	−0.0923554	−	0.159964i
$705$	−2.39694	+	1.42076i	−0.0902738	+	0.0535090i
$706$	8.44566	+	14.6283i	0.317856	+	0.550544i
$707$	15.5378	+	15.5378i	0.584360	+	0.584360i
$708$	−20.4583	+	34.6722i	−0.768871	+	1.30306i
$709$	28.4484	+	16.4247i	1.06840	+	0.616842i	0.927744	−	0.373217i	$-0.121745\pi$
$709$	28.4484	+	16.4247i	1.06840	+	0.616842i	0.140657	+	0.990058i	$0.455078\pi$
$710$	0.533081	+	25.4562i	0.0200062	+	0.955353i
$711$	28.4664	+	17.1622i	1.06757	+	0.643632i
$712$	0.769638	+	0.206224i	0.0288434	+	0.00772857i
$713$	−0.539783	−	2.01450i	−0.0202150	−	0.0754436i
$714$	−15.8299	−	4.40274i	−0.592421	−	0.164768i
$715$	−0.456142	−	0.250770i	−0.0170588	−	0.00937826i
$716$		−	7.10753i		−	0.265621i
$717$	−0.103191	+	10.8938i	−0.00385374	+	0.406837i
$718$	45.5942	−	12.2169i	1.70156	−	0.455932i
$719$	17.7126	−	30.6791i	0.660567	−	1.14414i	−0.319899	−	0.947452i	$-0.603649\pi$
$719$	17.7126	−	30.6791i	0.660567	−	1.14414i	0.980467	−	0.196685i	$-0.0630176\pi$
$720$	−13.7720	+	13.8270i	−0.513250	+	0.515301i
$721$	−36.6549			−1.36510
$722$	39.2368	−	8.09105i	1.46024	−	0.301118i
$723$	−0.00671416	+	0.708810i	−0.000249702	+	0.0263609i
$724$	−9.92952	+	5.73281i	−0.369028	+	0.213058i
$725$	19.6303	−	12.4575i	0.729052	−	0.462658i
$726$	28.1646	−	27.6361i	1.04529	−	1.02567i
$727$	1.32955	−	1.32955i	0.0493104	−	0.0493104i	−0.682022	−	0.731332i	$-0.738899\pi$
$727$	1.32955	−	1.32955i	0.0493104	−	0.0493104i	0.731332	+	0.682022i	$0.238899\pi$
$728$	−1.92607	−	0.516088i	−0.0713848	−	0.0191275i
$729$	−26.9564	−	1.53366i	−0.998385	−	0.0568023i
$730$	−32.9852	−	31.6320i	−1.22084	−	1.17075i
$731$	−8.37468	−	4.83513i	−0.309749	−	0.178834i
$732$	39.9123	+	0.378067i	1.47520	+	0.0139738i
$733$	−22.7794	+	6.10371i	−0.841375	+	0.225446i	−0.653670	−	0.756780i	$-0.726771\pi$
$733$	−22.7794	+	6.10371i	−0.841375	+	0.225446i	−0.187705	+	0.982226i	$0.560105\pi$
$734$	−19.0917	+	33.0678i	−0.704688	+	1.22056i
$735$	−34.6377	−	8.85676i	−1.27763	−	0.326686i
$736$	−24.1897			−0.891645
$737$	−1.06444	+	3.97255i	−0.0392092	+	0.146331i
$738$	−9.16914	+	8.82815i	−0.337521	+	0.324969i
$739$	30.6856	+	17.7163i	1.12879	+	0.651706i	0.943630	−	0.331003i	$-0.107387\pi$
$739$	30.6856	+	17.7163i	1.12879	+	0.651706i	0.185158	+	0.982709i	$0.440720\pi$
$740$	−7.28651	−	12.0316i	−0.267857	−	0.442291i
$741$	0.879253	+	3.87533i	0.0323001	+	0.142364i
$742$	30.0574	+	112.176i	1.10344	+	4.11810i
$743$	11.8304	+	3.16995i	0.434015	+	0.116294i	0.469210	−	0.883086i	$-0.344539\pi$
$743$	11.8304	+	3.16995i	0.434015	+	0.116294i	−0.0351951	+	0.999380i	$0.511205\pi$
$744$	−0.788246	−	0.803322i	−0.0288985	−	0.0294512i
$745$	−10.6519	−	36.6650i	−0.390257	−	1.34330i
$746$	9.01407	+	5.20428i	0.330029	+	0.190542i
$747$	34.9784	−	33.6776i	1.27979	−	1.23220i
$748$	−0.854211	−	0.854211i	−0.0312331	−	0.0312331i
$749$	−38.1343	−	66.0505i	−1.39340	−	2.41343i
$750$	22.2722	+	34.2226i	0.813266	+	1.24963i
$751$	9.93367			0.362485			0.181242	−	0.983438i	$-0.441988\pi$
$751$	9.93367			0.362485			0.181242	+	0.983438i	$0.441988\pi$
$752$	2.02166	−	0.541703i	0.0737225	−	0.0197539i
$753$	13.5836	−	23.0211i	0.495014	−	0.838936i
$754$	4.46917	+	2.58028i	0.162758	+	0.0939682i
$755$	−9.80628	−	33.7542i	−0.356887	−	1.22844i
$756$	49.0631	+	14.6526i	1.78441	+	0.532909i
$757$	−10.1645	−	37.9343i	−0.369434	−	1.37875i	−0.861310	−	0.508080i	$-0.830355\pi$
$757$	−10.1645	−	37.9343i	−0.369434	−	1.37875i	0.491876	−	0.870665i	$-0.336311\pi$
$758$	39.7503	−	39.7503i	1.44380	−	1.44380i
$759$	0.577209	+	2.23878i	0.0209514	+	0.0812627i
$760$	7.89912	+	4.64820i	0.286531	+	0.168608i
$761$	−28.4928	−	16.4503i	−1.03286	−	0.596325i	−0.115060	−	0.993358i	$-0.536706\pi$
$761$	−28.4928	−	16.4503i	−1.03286	−	0.596325i	−0.917804	+	0.397034i	$0.870040\pi$
$762$	−49.8630	−	29.4216i	−1.80635	−	1.06583i
$763$	−45.7546	−	45.7546i	−1.65643	−	1.65643i
$764$	33.1143	+	57.3557i	1.19804	+	2.07506i
$765$	−3.73262	+	6.49495i	−0.134953	+	0.234826i
$766$	19.6104	+	33.9662i	0.708551	+	1.22725i
$767$	1.29452	−	4.83121i	0.0467423	−	0.174445i
$768$	10.0968	−	5.70259i	0.364339	−	0.205774i
$769$		−	34.3867i		−	1.24002i	−0.784595	−	0.620009i	$-0.787129\pi$
$769$		−	34.3867i		−	1.24002i	0.784595	−	0.620009i	$-0.212871\pi$
$770$	−6.06349	−	5.81475i	−0.218513	−	0.209549i
$771$	−31.9428	−	8.88416i	−1.15039	−	0.319955i
$772$	28.6594	+	7.67925i	1.03147	+	0.276382i
$773$	27.5889	+	7.39243i	0.992305	+	0.265887i	0.718218	−	0.695818i	$-0.244958\pi$
$773$	27.5889	+	7.39243i	0.992305	+	0.265887i	0.274087	+	0.961705i	$0.411625\pi$
$774$	46.9113	+	28.2824i	1.68619	+	1.01659i
$775$	2.91723	−	1.85128i	0.104790	−	0.0665001i
$776$			10.9435i			0.392847i
$777$	9.11989	−	15.4561i	0.327174	−	0.554486i
$778$	25.1244	−	6.73205i	0.900752	−	0.241356i
$779$	−7.46443	−	4.60548i	−0.267441	−	0.165008i
$780$	−2.44341	+	4.34644i	−0.0874880	+	0.155628i
$781$	−2.38842			−0.0854643
$782$	−6.86442	+	1.83932i	−0.245471	+	0.0657738i
$783$	−20.5728	−	12.6704i	−0.735213	−	0.452804i
$784$	23.2572	+	13.4276i	0.830616	+	0.479556i
$785$	−8.99891	−	4.94726i	−0.321185	−	0.176575i
$786$	−35.5917	+	9.17634i	−1.26951	+	0.327309i
$787$	−10.1641	−	37.9328i	−0.362310	−	1.35216i	−0.871031	−	0.491228i	$-0.836548\pi$
$787$	−10.1641	−	37.9328i	−0.362310	−	1.35216i	0.508721	−	0.860931i	$-0.330118\pi$
$788$	−40.2817	+	40.2817i	−1.43497	+	1.43497i
$789$	−7.86374	+	28.2739i	−0.279957	+	1.00658i
$790$	−44.6845	+	27.0615i	−1.58980	+	0.962805i
$791$		−	14.8160i		−	0.526797i
$792$	0.865353	+	0.898777i	0.0307490	+	0.0319367i
$793$	−4.78994	+	1.28346i	−0.170096	+	0.0455770i
$794$	21.4325	−	37.1221i	0.760610	−	1.31742i
$795$	52.9438	−	0.607075i	1.87772	−	0.0215307i
$796$	−1.33917	−	2.31950i	−0.0474655	−	0.0822126i
$797$	−25.2004	+	6.75243i	−0.892644	+	0.239183i	−0.675854	−	0.737035i	$-0.736225\pi$
$797$	−25.2004	+	6.75243i	−0.892644	+	0.239183i	−0.216790	+	0.976218i	$0.569559\pi$
$798$	−2.48088	+	64.0870i	−0.0878220	+	2.26865i
$799$	0.695768	−	0.401702i	0.0246145	−	0.0142112i
$800$	−11.9833	−	38.2405i	−0.423675	−	1.35201i
$801$	2.54158	+	0.0481542i	0.0898023	+	0.00170144i
$802$	56.0566	+	15.0203i	1.97943	+	0.530386i
$803$	3.03134	−	3.03134i	0.106974	−	0.106974i
$804$	37.9549	+	10.5563i	1.33856	+	0.372292i
$805$	−26.1096	+	7.58539i	−0.920244	+	0.267350i
$806$	0.664157	+	0.383451i	0.0233939	+	0.0135065i
$807$	0.0701703	−	7.40785i	0.00247011	−	0.260769i
$808$	4.95401	−	1.32742i	0.174282	−	0.0466986i
$809$	54.9484			1.93188			0.965942	−	0.258758i	$-0.0833131\pi$
$809$	54.9484			1.93188			0.965942	+	0.258758i	$0.0833131\pi$
$810$	21.8367	−	36.3837i	0.767262	−	1.27839i
$811$	−18.6861	−	32.3653i	−0.656158	−	1.13650i	−0.981602	−	0.190938i	$-0.938847\pi$
$811$	−18.6861	−	32.3653i	−0.656158	−	1.13650i	0.325444	−	0.945561i	$-0.394486\pi$
$812$	32.4006	+	32.4006i	1.13704	+	1.13704i
$813$	0.460162	−	48.5791i	0.0161386	−	1.70374i
$814$	2.07702	−	1.19917i	0.0727994	−	0.0420307i
$815$	1.75057	+	2.89057i	0.0613197	+	0.101252i
$816$	4.01636	−	3.94099i	0.140601	−	0.137962i
$817$	−10.8305	+	36.1591i	−0.378911	+	1.26505i
$818$	12.9363	−	12.9363i	0.452306	−	0.452306i
$819$	−6.36046	−	0.120509i	−0.222253	−	0.00421092i
$820$	−3.07031	−	10.5683i	−0.107220	−	0.369062i
$821$	−22.1112	−	12.7659i	−0.771686	−	0.445533i	0.0617894	−	0.998089i	$-0.480319\pi$
$821$	−22.1112	−	12.7659i	−0.771686	−	0.445533i	−0.833476	+	0.552556i	$0.813653\pi$
$822$	13.2456	+	0.125468i	0.461994	+	0.00437621i
$823$	12.2382	+	12.2382i	0.426596	+	0.426596i	0.887467	−	0.460871i	$-0.152463\pi$
$823$	12.2382	+	12.2382i	0.426596	+	0.426596i	−0.460871	+	0.887467i	$0.652463\pi$
$824$	−4.27770	+	7.40920i	−0.149021	+	0.258112i
$825$	−3.25326	+	2.02156i	−0.113264	+	0.0703816i
$826$	40.3616	−	69.9084i	1.40436	−	2.43242i
$827$	−7.50887	+	28.0235i	−0.261109	+	0.974471i	0.703480	+	0.710715i	$0.251628\pi$
$827$	−7.50887	+	28.0235i	−0.261109	+	0.974471i	−0.964589	+	0.263757i	$0.915038\pi$
$828$	21.4968	−	5.32571i	0.747064	−	0.185081i
$829$			33.4399i			1.16141i	0.814112	+	0.580707i	$0.197224\pi$
$829$			33.4399i			1.16141i	−0.814112	+	0.580707i	$0.802776\pi$
$830$	21.2897	+	73.2813i	0.738977	+	2.54363i
$831$	15.7213	−	4.05331i	0.545366	−	0.140608i
$832$	4.12424	−	4.12424i	0.142982	−	0.142982i
$833$	9.95726	+	2.66804i	0.344999	+	0.0924421i
$834$	1.34482	−	4.83527i	0.0465674	−	0.167432i
$835$	4.55765	+	7.52567i	0.157724	+	0.260436i
$836$	−2.47599	+	4.01301i	−0.0856339	+	0.138793i
$837$	−3.05730	−	1.88293i	−0.105676	−	0.0650837i
$838$	41.9999	−	11.2538i	1.45086	−	0.388757i
$839$	0.702099			0.0242392			0.0121196	−	0.999927i	$-0.496142\pi$
$839$	0.702099			0.0242392			0.0121196	+	0.999927i	$0.496142\pi$
$840$	−10.2554	+	10.4933i	−0.353843	+	0.362052i
$841$	3.68925	+	6.38997i	0.127216	+	0.220344i
$842$	−52.2890	−	52.2890i	−1.80200	−	1.80200i
$843$	34.8985	+	0.330573i	1.20197	+	0.0113856i
$844$	17.3151	−	9.99686i	0.596009	−	0.344106i
$845$	−6.78630	+	27.6282i	−0.233456	+	0.950437i
$846$	−3.98359	+	2.20038i	−0.136959	+	0.0756508i
$847$	−30.7794	+	30.7794i	−1.05759	+	1.05759i
$848$	−38.4161	−	10.2936i	−1.31921	−	0.353482i
$849$	−4.81556	−	18.6778i	−0.165270	−	0.641021i
$850$	−6.30826	−	9.94049i	−0.216372	−	0.340956i
$851$		−	7.76199i		−	0.266078i
$852$	−0.216707	+	22.8777i	−0.00742426	+	0.783776i
$853$	39.8910	+	39.8910i	1.36584	+	1.36584i	0.866277	+	0.499565i	$0.166507\pi$
$853$	39.8910	+	39.8910i	1.36584	+	1.36584i	0.499565	+	0.866277i	$0.333493\pi$
$854$	−80.0338			−2.73870
$855$	28.0276	+	8.33404i	0.958522	+	0.285018i
$856$	−17.8014			−0.608438
$857$	34.5084	+	34.5084i	1.17878	+	1.17878i	0.980054	+	0.198730i	$0.0636816\pi$
$857$	34.5084	+	34.5084i	1.17878	+	1.17878i	0.198730	+	0.980054i	$0.436318\pi$
$858$	−0.732207	−	0.432038i	−0.0249971	−	0.0147495i
$859$			12.9370i			0.441405i	0.975341	+	0.220703i	$0.0708350\pi$
$859$			12.9370i			0.441405i	−0.975341	+	0.220703i	$0.929165\pi$
$860$	−40.5121	+	24.5347i	−1.38145	+	0.836626i
$861$	10.0222	−	9.83407i	0.341554	−	0.335144i
$862$	−6.98090	−	1.87053i	−0.237770	−	0.0637104i
$863$	−0.810747	+	0.810747i	−0.0275982	+	0.0275982i	−0.720771	−	0.693173i	$-0.756212\pi$
$863$	−0.810747	+	0.810747i	−0.0275982	+	0.0275982i	0.693173	+	0.720771i	$0.256212\pi$
$864$	−30.2732	+	28.5998i	−1.02991	+	0.972984i
$865$	−27.8660	+	16.8760i	−0.947471	+	0.573801i
$866$	53.2985	−	30.7719i	1.81116	−	1.04567i
$867$	−13.8657	+	23.4992i	−0.470903	+	0.798073i
$868$	4.81500	+	4.81500i	0.163432	+	0.163432i
$869$	−2.45017	−	4.24381i	−0.0831162	−	0.143962i
$870$	32.6655	−	19.3622i	1.10746	−	0.656438i
$871$	−4.89448			−0.165843
$872$	−14.5882	+	3.90889i	−0.494018	+	0.132372i
$873$	8.39582	+	33.8890i	0.284156	+	1.14697i
$874$	13.1619	+	24.4179i	0.445208	+	0.825949i
$875$	−24.9259	−	37.5179i	−0.842649	−	1.26834i
$876$	−28.7609	−	29.3110i	−0.971742	−	0.990327i
$877$	9.95491	+	2.66741i	0.336153	+	0.0900721i	0.422947	−	0.906154i	$-0.360996\pi$
$877$	9.95491	+	2.66741i	0.336153	+	0.0900721i	−0.0867939	+	0.996226i	$0.527662\pi$
$878$	−29.4652	+	29.4652i	−0.994402	+	0.994402i
$879$	−6.06053	−	6.17645i	−0.204417	−	0.208326i
$880$	2.76281	−	0.802654i	0.0931344	−	0.0270575i
$881$		−	49.1587i		−	1.65620i	−0.560581	−	0.828100i	$-0.689422\pi$
$881$		−	49.1587i		−	1.65620i	0.560581	−	0.828100i	$-0.310578\pi$
$882$	−56.1068	−	16.1789i	−1.88921	−	0.544773i
$883$	2.02128	−	7.54350i	0.0680213	−	0.253859i	−0.923539	−	0.383504i	$-0.874717\pi$
$883$	2.02128	−	7.54350i	0.0680213	−	0.253859i	0.991560	+	0.129645i	$0.0413838\pi$
$884$	0.718838	−	1.24506i	0.0241771	−	0.0418760i
$885$	−26.3205	−	25.7238i	−0.884755	−	0.864695i
$886$	24.0558	−	41.6659i	0.808170	−	1.39979i
$887$	13.2837	+	13.2837i	0.446022	+	0.446022i	0.894030	−	0.448007i	$-0.147866\pi$
$887$	13.2837	+	13.2837i	0.446022	+	0.446022i	−0.448007	+	0.894030i	$0.647866\pi$
$888$	−2.05990	−	3.64720i	−0.0691256	−	0.122392i
$889$	55.3109	+	31.9337i	1.85507	+	1.07102i
$890$	−1.92468	+	3.50093i	−0.0645153	+	0.117351i
$891$	3.36931	+	2.11938i	0.112876	+	0.0710017i
$892$	−9.07444	+	9.07444i	−0.303835	+	0.303835i
$893$	−2.15173	−	2.28129i	−0.0720048	−	0.0763406i
$894$	−15.5687	−	60.3852i	−0.520694	−	2.01958i
$895$	6.31004	+	1.54993i	0.210921	+	0.0518086i
$896$	25.5944	−	14.7769i	0.855048	−	0.493662i
$897$	−2.39578	+	1.35311i	−0.0799929	+	0.0451791i
$898$	−32.3401	−	32.3401i	−1.07920	−	1.07920i
$899$	−1.60657	−	2.78266i	−0.0535821	−	0.0928069i
$900$	19.0685	+	31.3450i	0.635616	+	1.04483i
$901$	−15.2665			−0.508599
$902$	1.81252	−	0.485663i	0.0603503	−	0.0161708i
$903$	−52.0430	−	30.7079i	−1.73188	−	1.02190i
$904$	−2.99482	−	1.72906i	−0.0996061	−	0.0575076i
$905$	−2.92425	−	10.0656i	−0.0972053	−	0.334590i
$906$	−14.3327	−	55.5912i	−0.476171	−	1.84690i
$907$	−24.9654	+	24.9654i	−0.828964	+	0.828964i	−0.987373	−	0.158410i	$-0.949363\pi$
$907$	−24.9654	+	24.9654i	−0.828964	+	0.828964i	0.158410	+	0.987373i	$0.449363\pi$
$908$	−57.5287	−	15.4148i	−1.90916	−	0.511557i
$909$	14.3229	−	7.91139i	0.475059	−	0.262404i
$910$	4.81663	−	8.76129i	0.159670	−	0.290434i
$911$	−23.0590	+	13.3131i	−0.763978	+	0.441083i	−0.830722	−	0.556687i	$-0.812072\pi$
$911$	−23.0590	+	13.3131i	−0.763978	+	0.441083i	0.0667444	+	0.997770i	$0.478739\pi$
$912$	−18.5822	−	11.7095i	−0.615320	−	0.387741i
$913$	−6.91440	+	1.85271i	−0.228833	+	0.0613156i
$914$	−15.9571	−	27.6385i	−0.527814	−	0.914201i
$915$	−9.03930	+	35.3516i	−0.298830	+	1.16869i
$916$	−18.9793	+	32.8731i	−0.627094	+	1.08616i
$917$	39.1650	−	10.4942i	1.29334	−	0.346550i
$918$	−6.41610	+	10.4178i	−0.211763	+	0.343837i
$919$		−	52.8617i		−	1.74375i	−0.489732	−	0.871873i	$-0.662905\pi$
$919$		−	52.8617i		−	1.74375i	0.489732	−	0.871873i	$-0.337095\pi$
$920$	−1.51378	+	6.16287i	−0.0499080	+	0.203184i
$921$	−3.95521	−	4.03085i	−0.130328	−	0.132821i
$922$	−35.7646	+	35.7646i	−1.17784	+	1.17784i
$923$	−0.735677	−	2.74558i	−0.0242151	−	0.0903720i
$924$	−5.28697	−	5.38809i	−0.173929	−	0.177255i
$925$	12.2706	−	3.84521i	0.403455	−	0.126430i
$926$	31.6340	+	18.2639i	1.03956	+	0.600189i
$927$	−7.56257	+	26.2262i	−0.248387	+	0.861380i
$928$	−35.9982	+	9.64569i	−1.18170	+	0.316635i
$929$	−56.4801			−1.85305			−0.926527	−	0.376229i	$-0.877221\pi$
$929$	−56.4801			−1.85305			−0.926527	+	0.376229i	$0.877221\pi$
$930$	4.85437	−	2.87738i	0.159181	−	0.0943530i
$931$	1.17556	−	40.2205i	0.0385274	−	1.31817i
$932$	−41.4673	+	11.1111i	−1.35831	+	0.363958i
$933$	32.4504	+	0.307384i	1.06238	+	0.0100633i
$934$		−	24.3799i		−	0.797734i
$935$	0.944644	−	0.572089i	0.0308932	−	0.0187093i
$936$	−0.766637	+	1.27160i	−0.0250583	+	0.0415635i
$937$	−35.8571	−	9.60788i	−1.17140	−	0.313876i	−0.379890	−	0.925032i	$-0.624038\pi$
$937$	−35.8571	−	9.60788i	−1.17140	−	0.313876i	−0.791510	+	0.611156i	$0.790705\pi$
$938$	−76.3023	−	20.4451i	−2.49136	−	0.667557i
$939$	−13.7933	+	13.5344i	−0.450127	+	0.441680i
$940$	−0.0823821	−	3.93399i	−0.00268701	−	0.128313i
$941$		−	37.0025i		−	1.20625i	−0.797647	−	0.603124i	$-0.793922\pi$
$941$		−	37.0025i		−	1.20625i	0.797647	−	0.603124i	$-0.206078\pi$
$942$	−14.4452	−	8.52338i	−0.470650	−	0.277707i
$943$	1.57181	−	5.86606i	0.0511850	−	0.191025i
$944$	13.8224	+	23.9411i	0.449880	+	0.779216i
$945$	−23.7077	+	40.3627i	−0.771210	+	1.31300i
$946$	−4.03776	−	6.99360i	−0.131279	−	0.227382i
$947$	15.0004	+	15.0004i	0.487449	+	0.487449i	0.907500	−	0.420052i	$-0.137988\pi$
$947$	15.0004	+	15.0004i	0.487449	+	0.487449i	−0.420052	+	0.907500i	$0.637988\pi$
$948$	−40.8720	+	23.0841i	−1.32746	+	0.749736i
$949$	4.41836	+	2.55094i	0.143426	+	0.0828071i
$950$	−32.0810	+	32.9035i	−1.04085	+	1.06753i
$951$	−12.0070	+	11.7817i	−0.389354	+	0.382047i
$952$	2.99146	−	2.99146i	0.0969536	−	0.0969536i
$953$	−4.83603	−	18.0483i	−0.156654	−	0.584642i	−0.998958	−	0.0456385i	$-0.985468\pi$
$953$	−4.83603	−	18.0483i	−0.156654	−	0.584642i	0.842304	−	0.539003i	$-0.181199\pi$
$954$	86.4617	+	1.63815i	2.79930	+	0.0530372i
$955$	−58.1415	+	16.8913i	−1.88141	+	0.546589i
$956$	−13.3235	−	7.69235i	−0.430914	−	0.248789i
$957$	1.75170	+	3.10151i	0.0566244	+	0.100258i
$958$	48.4144	−	12.9726i	1.56420	−	0.419126i
$959$	−14.6124			−0.471860
$960$	−11.5824	−	41.3250i	−0.373822	−	1.33376i
$961$	15.2613	+	26.4333i	0.492298	+	0.852686i
$962$	2.01825	+	2.01825i	0.0650710	+	0.0650710i
$963$	−55.1261	+	13.6572i	−1.77641	+	0.440097i
$964$	−0.866901	−	0.500506i	−0.0279210	−	0.0161202i
$965$	−13.0673	+	23.7691i	−0.420653	+	0.765154i
$966$	−43.0011	+	11.0867i	−1.38354	+	0.356707i
$967$	46.7406	+	12.5241i	1.50307	+	0.402748i	0.914129	−	0.405424i	$-0.132876\pi$
$967$	46.7406	+	12.5241i	1.50307	+	0.402748i	0.588946	+	0.808172i	$0.299543\pi$
$968$	2.62954	+	9.81356i	0.0845165	+	0.315420i
$969$	−8.05320	−	2.49548i	−0.258706	−	0.0801663i
$970$	−53.2867	−	13.0888i	−1.71093	−	0.420256i
$971$	25.6108	+	14.7864i	0.821890	+	0.474519i	0.851068	−	0.525056i	$-0.175955\pi$
$971$	25.6108	+	14.7864i	0.821890	+	0.474519i	−0.0291775	+	0.999574i	$0.509289\pi$
$972$	20.6063	−	32.0809i	0.660948	−	1.02900i
$973$	−1.43294	+	5.34780i	−0.0459379	+	0.171442i
$974$	3.11608			0.0998456
$975$	−3.32593	−	3.11708i	−0.106515	−	0.0998263i
$976$	13.7043	−	23.7366i	0.438665	−	0.759790i
$977$	35.7726	−	9.58525i	1.14447	−	0.306659i	0.363722	−	0.931508i	$-0.381506\pi$
$977$	35.7726	−	9.58525i	1.14447	−	0.306659i	0.780746	+	0.624848i	$0.214839\pi$
$978$	2.71428	+	4.80584i	0.0867932	+	0.153674i
$979$	−0.324549	−	0.187379i	−0.0103726	−	0.00598865i
$980$	34.9453	−	36.4402i	1.11629	−	1.16404i
$981$	−42.1768	+	23.2968i	−1.34660	+	0.743811i
$982$	48.6601	+	13.0384i	1.55281	+	0.416073i
$983$	0.409699	−	0.409699i	0.0130674	−	0.0130674i	−0.700543	−	0.713610i	$-0.747059\pi$
$983$	0.409699	−	0.409699i	0.0130674	−	0.0130674i	0.713610	+	0.700543i	$0.247059\pi$
$984$	−0.818191	−	3.17347i	−0.0260830	−	0.101166i
$985$	−26.9777	−	44.5461i	−0.859582	−	1.41936i
$986$	−9.48193	+	5.47440i	−0.301966	+	0.174340i
$987$	4.37128	−	2.46885i	0.139139	−	0.0785843i
$988$	−5.37578	−	1.61017i	−0.171026	−	0.0512263i
$989$	−26.1357			−0.831066
$990$	−5.41139	+	3.13867i	−0.171985	+	0.0997534i
$991$	17.7106	−	30.6756i	0.562595	−	0.974442i	−0.434674	−	0.900588i	$-0.643137\pi$
$991$	17.7106	−	30.6756i	0.562595	−	0.974442i	0.997269	−	0.0738547i	$-0.0235301\pi$
$992$	−5.34964	+	1.43343i	−0.169851	+	0.0455115i
$993$	26.8092	+	15.8188i	0.850765	+	0.501994i
$994$		−	45.8752i		−	1.45507i
$995$	2.35128	−	0.683095i	0.0745405	−	0.0216556i
$996$	17.1189	+	66.3982i	0.542434	+	2.10391i
$997$	7.86959	+	29.3697i	0.249232	+	0.930148i	0.971209	+	0.238230i	$0.0765673\pi$
$997$	7.86959	+	29.3697i	0.249232	+	0.930148i	−0.721976	+	0.691918i	$0.756766\pi$
$998$	64.1258	+	17.1825i	2.02987	+	0.543901i
$999$	−9.17708	−	9.71404i	−0.290350	−	0.307339i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	855.2.bx.a.68.19	✓	464
5.2	odd	4	inner	855.2.bx.a.752.98	yes	464
9.2	odd	6		855.2.ci.a.353.98	yes	464
19.7	even	3		855.2.ci.a.653.98	yes	464
45.2	even	12		855.2.ci.a.182.98	yes	464
95.7	odd	12		855.2.ci.a.482.98	yes	464
171.83	odd	6	inner	855.2.bx.a.83.98	yes	464
855.767	even	12	inner	855.2.bx.a.767.19	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
855.2.bx.a.68.19	✓	464	1.1	even	1	trivial
855.2.bx.a.83.98	yes	464	171.83	odd	6	inner
855.2.bx.a.752.98	yes	464	5.2	odd	4	inner
855.2.bx.a.767.19	yes	464	855.767	even	12	inner
855.2.ci.a.182.98	yes	464	45.2	even	12
855.2.ci.a.353.98	yes	464	9.2	odd	6
855.2.ci.a.482.98	yes	464	95.7	odd	12
855.2.ci.a.653.98	yes	464	19.7	even	3

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:	\( N \)	\(=\)	\( 855 = 3^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	855.bx (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.49097 - 1.49097i) q^{2} +(1.50814 - 0.851779i) q^{3} +2.44596i q^{4} +(-2.17152 - 0.533390i) q^{5} +(-3.51855 - 0.978607i) q^{6} +(3.89151 + 1.04273i) q^{7} +(0.664917 - 0.664917i) q^{8} +(1.54895 - 2.56920i) q^{9} +O(q^{10})\)	\(q+(-1.49097 - 1.49097i) q^{2} +(1.50814 - 0.851779i) q^{3} +2.44596i q^{4} +(-2.17152 - 0.533390i) q^{5} +(-3.51855 - 0.978607i) q^{6} +(3.89151 + 1.04273i) q^{7} +(0.664917 - 0.664917i) q^{8} +(1.54895 - 2.56920i) q^{9} +(2.44240 + 4.03293i) q^{10} +(-0.383019 + 0.221136i) q^{11} +(2.08342 + 3.68885i) q^{12} +(-0.372182 - 0.372182i) q^{13} +(-4.24744 - 7.35679i) q^{14} +(-3.72928 + 1.04523i) q^{15} +2.90919 q^{16} +(1.07866 - 0.289026i) q^{17} +(-6.14001 + 1.52116i) q^{18} +(-2.06823 - 3.83698i) q^{19} +(1.30465 - 5.31146i) q^{20} +(6.75710 - 1.74213i) q^{21} +(0.900776 + 0.241362i) q^{22} +(2.13413 - 2.13413i) q^{23} +(0.436423 - 1.56915i) q^{24} +(4.43099 + 2.31653i) q^{25} +1.10982i q^{26} +(0.147636 - 5.19405i) q^{27} +(-2.55047 + 9.51850i) q^{28} +(2.32495 - 4.02692i) q^{29} +(7.11863 + 4.00182i) q^{30} +(0.345507 - 0.598435i) q^{31} +(-5.66734 - 5.66734i) q^{32} +(-0.389286 + 0.659751i) q^{33} +(-2.03917 - 1.17732i) q^{34} +(-7.89431 - 4.34000i) q^{35} +(6.28416 + 3.78867i) q^{36} +(1.81853 - 1.81853i) q^{37} +(-2.63714 + 8.80448i) q^{38} +(-0.878318 - 0.244285i) q^{39} +(-1.79854 + 1.08922i) q^{40} +(1.74260 - 1.00609i) q^{41} +(-12.6721 - 7.47715i) q^{42} +(-6.12325 - 6.12325i) q^{43} +(-0.540891 - 0.936851i) q^{44} +(-4.73395 + 4.75286i) q^{45} -6.36385 q^{46} +(0.694924 - 0.186204i) q^{47} +(4.38745 - 2.47798i) q^{48} +(7.99441 + 4.61557i) q^{49} +(-3.15259 - 10.0603i) q^{50} +(1.38058 - 1.35467i) q^{51} +(0.910344 - 0.910344i) q^{52} +(-13.2051 - 3.53829i) q^{53} +(-7.96428 + 7.52404i) q^{54} +(0.949685 - 0.275903i) q^{55} +(3.28086 - 1.89421i) q^{56} +(-6.38743 - 4.02501i) q^{57} +(-9.47043 + 2.53759i) q^{58} +(4.75129 + 8.22947i) q^{59} +(-2.55659 - 9.12167i) q^{60} +(4.71070 - 8.15918i) q^{61} +(-1.40739 + 0.377108i) q^{62} +(8.70671 - 8.38292i) q^{63} +11.0812i q^{64} +(0.609683 + 1.00672i) q^{65} +(1.56408 - 0.403255i) q^{66} +(6.57538 - 6.57538i) q^{67} +(0.706947 + 2.63836i) q^{68} +(1.40075 - 5.03637i) q^{69} +(5.29937 + 18.2409i) q^{70} +(4.67682 + 2.70017i) q^{71} +(-0.678381 - 2.73822i) q^{72} +(-9.36276 + 2.50874i) q^{73} -5.42275 q^{74} +(8.65571 - 0.280577i) q^{75} +(9.38511 - 5.05882i) q^{76} +(-1.72111 + 0.461170i) q^{77} +(0.945323 + 1.67376i) q^{78} +11.0799i q^{79} +(-6.31736 - 1.55173i) q^{80} +(-4.20153 - 7.95909i) q^{81} +(-4.09820 - 1.09811i) q^{82} +(15.6338 + 4.18906i) q^{83} +(4.26119 + 16.5276i) q^{84} +(-2.49649 + 0.0522793i) q^{85} +18.2591i q^{86} +(0.0762861 - 8.05349i) q^{87} +(-0.107639 + 0.401713i) q^{88} +(0.423672 + 0.733822i) q^{89} +(14.1445 - 0.0282008i) q^{90} +(-1.06027 - 1.83644i) q^{91} +(5.22001 + 5.22001i) q^{92} +(0.0113368 - 1.19682i) q^{93} +(-1.31373 - 0.758484i) q^{94} +(2.44460 + 9.43525i) q^{95} +(-13.3744 - 3.71980i) q^{96} +(-8.22919 + 8.22919i) q^{97} +(-5.03773 - 18.8011i) q^{98} +(-0.0251341 + 1.32658i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 2 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7}+O(q^{10}) \) 464 * q - 2 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7	\( 464 q - 2 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} - 4 q^{13} - 8 q^{15} - 424 q^{16} - 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 8 q^{33} + 76 q^{36} - 16 q^{37} - 18 q^{38} + 18 q^{40} + 36 q^{41} + 82 q^{42} - 4 q^{43} + 6 q^{45} - 56 q^{46} + 54 q^{47} - 36 q^{48} - 108 q^{50} + 12 q^{51} + 68 q^{52} - 14 q^{55} - 24 q^{56} - 6 q^{57} - 12 q^{58} + 78 q^{60} + 4 q^{61} + 12 q^{62} - 70 q^{63} - 84 q^{65} - 4 q^{66} - 4 q^{67} - 60 q^{68} + 42 q^{70} + 14 q^{72} - 4 q^{73} + 98 q^{75} + 24 q^{76} - 12 q^{77} - 64 q^{78} - 120 q^{80} - 36 q^{81} + 4 q^{82} - 12 q^{83} - 4 q^{85} + 102 q^{87} + 48 q^{88} - 46 q^{90} - 8 q^{91} - 22 q^{93} + 54 q^{95} + 96 q^{96} - 4 q^{97} - 42 q^{98}+O(q^{100}) \) 464 * q - 2 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 - 4 * q^13 - 8 * q^15 - 424 * q^16 - 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 8 * q^33 + 76 * q^36 - 16 * q^37 - 18 * q^38 + 18 * q^40 + 36 * q^41 + 82 * q^42 - 4 * q^43 + 6 * q^45 - 56 * q^46 + 54 * q^47 - 36 * q^48 - 108 * q^50 + 12 * q^51 + 68 * q^52 - 14 * q^55 - 24 * q^56 - 6 * q^57 - 12 * q^58 + 78 * q^60 + 4 * q^61 + 12 * q^62 - 70 * q^63 - 84 * q^65 - 4 * q^66 - 4 * q^67 - 60 * q^68 + 42 * q^70 + 14 * q^72 - 4 * q^73 + 98 * q^75 + 24 * q^76 - 12 * q^77 - 64 * q^78 - 120 * q^80 - 36 * q^81 + 4 * q^82 - 12 * q^83 - 4 * q^85 + 102 * q^87 + 48 * q^88 - 46 * q^90 - 8 * q^91 - 22 * q^93 + 54 * q^95 + 96 * q^96 - 4 * q^97 - 42 * q^98

Introduction

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