LMFDB - Embedded newform 252.2.o.a.95.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			95.15
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.721634 - 1.21624i) q^{2} +(0.830122 + 1.52016i) q^{3} +(-0.958489 + 1.75536i) q^{4} +1.70405i q^{5} +(1.24984 - 2.10663i) q^{6} +(-2.51318 - 0.826989i) q^{7} +(2.82662 - 0.100974i) q^{8} +(-1.62179 + 2.52384i) q^{9} +O(q^{10})$	\(q+(-0.721634 - 1.21624i) q^{2} +(0.830122 + 1.52016i) q^{3} +(-0.958489 + 1.75536i) q^{4} +1.70405i q^{5} +(1.24984 - 2.10663i) q^{6} +(-2.51318 - 0.826989i) q^{7} +(2.82662 - 0.100974i) q^{8} +(-1.62179 + 2.52384i) q^{9} +(2.07253 - 1.22970i) q^{10} +0.198095 q^{11} +(-3.46410 + 0.000104825i) q^{12} +(-2.11577 + 3.66462i) q^{13} +(0.807779 + 3.65342i) q^{14} +(-2.59043 + 1.41457i) q^{15} +(-2.16260 - 3.36499i) q^{16} +(4.85542 + 2.80328i) q^{17} +(4.23995 + 0.151204i) q^{18} +(-6.97331 + 4.02604i) q^{19} +(-2.99122 - 1.63331i) q^{20} +(-0.829091 - 4.50695i) q^{21} +(-0.142952 - 0.240932i) q^{22} +1.67781 q^{23} +(2.49994 + 4.21311i) q^{24} +2.09622 q^{25} +(5.98387 - 0.0712257i) q^{26} +(-5.18294 - 0.370294i) q^{27} +(3.86052 - 3.61889i) q^{28} +(4.04957 - 2.33802i) q^{29} +(3.58980 + 2.12979i) q^{30} +(4.90666 - 2.83286i) q^{31} +(-2.53204 + 5.05853i) q^{32} +(0.164443 + 0.301138i) q^{33} +(-0.0943703 - 7.92831i) q^{34} +(1.40923 - 4.28258i) q^{35} +(-2.87579 - 5.26591i) q^{36} +(-2.01511 - 3.49027i) q^{37} +(9.92881 + 5.57590i) q^{38} +(-7.32716 - 0.174233i) q^{39} +(0.172064 + 4.81670i) q^{40} +(7.25892 + 4.19094i) q^{41} +(-4.88324 + 4.26074i) q^{42} +(3.72962 - 2.15330i) q^{43} +(-0.189872 + 0.347729i) q^{44} +(-4.30075 - 2.76361i) q^{45} +(-1.21076 - 2.04062i) q^{46} +(1.65627 - 2.86874i) q^{47} +(3.32012 - 6.08085i) q^{48} +(5.63218 + 4.15675i) q^{49} +(-1.51271 - 2.54952i) q^{50} +(-0.230849 + 9.70810i) q^{51} +(-4.40479 - 7.22644i) q^{52} +(-10.1145 - 5.83960i) q^{53} +(3.28982 + 6.57093i) q^{54} +0.337564i q^{55} +(-7.18733 - 2.08382i) q^{56} +(-11.9089 - 7.25846i) q^{57} +(-5.76591 - 3.23806i) q^{58} +(0.895722 + 1.55144i) q^{59} +(-0.000178627 - 5.90299i) q^{60} +(-0.960617 + 1.66384i) q^{61} +(-6.98626 - 3.92340i) q^{62} +(6.16306 - 5.00167i) q^{63} +(7.97961 - 0.570829i) q^{64} +(-6.24468 - 3.60537i) q^{65} +(0.247588 - 0.417314i) q^{66} +(2.61104 - 1.50749i) q^{67} +(-9.57464 + 5.83611i) q^{68} +(1.39279 + 2.55055i) q^{69} +(-6.22560 + 1.37649i) q^{70} -3.11658 q^{71} +(-4.32936 + 7.29771i) q^{72} +(-3.10208 + 5.37296i) q^{73} +(-2.79085 + 4.96956i) q^{74} +(1.74012 + 3.18660i) q^{75} +(-0.383320 - 16.0996i) q^{76} +(-0.497850 - 0.163823i) q^{77} +(5.07562 + 9.03733i) q^{78} +(6.93603 + 4.00452i) q^{79} +(5.73411 - 3.68517i) q^{80} +(-3.73957 - 8.18631i) q^{81} +(-0.141085 - 11.8529i) q^{82} +(-1.15699 - 2.00397i) q^{83} +(8.70601 + 2.86451i) q^{84} +(-4.77692 + 8.27387i) q^{85} +(-5.31036 - 2.98223i) q^{86} +(6.91581 + 4.21517i) q^{87} +(0.559941 - 0.0200024i) q^{88} +(14.5784 - 8.41683i) q^{89} +(-0.257658 + 7.22507i) q^{90} +(8.34791 - 7.46014i) q^{91} +(-1.60816 + 2.94517i) q^{92} +(8.37954 + 5.10730i) q^{93} +(-4.68430 + 0.0557570i) q^{94} +(-6.86056 - 11.8828i) q^{95} +(-9.79170 + 0.350079i) q^{96} +(-2.68058 - 4.64290i) q^{97} +(0.991243 - 9.84974i) q^{98} +(-0.321270 + 0.499962i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−0.721634	−	1.21624i	−0.510272	−	0.860013i
$2$	−0.721634	−	1.21624i	−0.510272	−	0.860013i
$3$	0.830122	+	1.52016i	0.479271	+	0.877667i
$3$	0.830122	+	1.52016i	0.479271	+	0.877667i
$4$	−0.958489	+	1.75536i	−0.479245	+	0.877681i
$5$			1.70405i			0.762073i	0.924560	+	0.381037i	$0.124433\pi$
$5$			1.70405i			0.762073i	−0.924560	+	0.381037i	$0.875567\pi$
$6$	1.24984	−	2.10663i	0.510246	−	0.860028i
$7$	−2.51318	−	0.826989i	−0.949894	−	0.312572i
$7$	−2.51318	−	0.826989i	−0.949894	−	0.312572i
$8$	2.82662	−	0.100974i	0.999363	−	0.0356996i
$9$	−1.62179	+	2.52384i	−0.540598	+	0.841281i
$10$	2.07253	−	1.22970i	0.655393	−	0.388865i
$11$	0.198095			0.0597280			0.0298640	−	0.999554i	$-0.490493\pi$
$11$	0.198095			0.0597280			0.0298640	+	0.999554i	$0.490493\pi$
$12$	−3.46410		0.000104825i	−1.00000		3.02604e-5i
$13$	−2.11577	+	3.66462i	−0.586808	+	1.01638i	0.407839	+	0.913054i	$0.366282\pi$
$13$	−2.11577	+	3.66462i	−0.586808	+	1.01638i	−0.994647	+	0.103328i	$0.967051\pi$
$14$	0.807779	+	3.65342i	0.215888	+	0.976418i
$15$	−2.59043	+	1.41457i	−0.668846	+	0.365240i
$16$	−2.16260	−	3.36499i	−0.540649	−	0.841248i
$17$	4.85542	+	2.80328i	1.17761	+	0.679895i	0.955461	−	0.295117i	$-0.0953586\pi$
$17$	4.85542	+	2.80328i	1.17761	+	0.679895i	0.222152	+	0.975012i	$0.428692\pi$
$18$	4.23995	+	0.151204i	0.999365	+	0.0356391i
$19$	−6.97331	+	4.02604i	−1.59979	+	0.923637i	−0.608259	+	0.793739i	$0.708132\pi$
$19$	−6.97331	+	4.02604i	−1.59979	+	0.923637i	−0.991527	+	0.129898i	$0.958535\pi$
$20$	−2.99122	−	1.63331i	−0.668857	−	0.365219i
$21$	−0.829091	−	4.50695i	−0.180922	−	0.983497i
$22$	−0.142952	−	0.240932i	−0.0304775	−	0.0513669i
$23$	1.67781			0.349848			0.174924	−	0.984582i	$-0.444032\pi$
$23$	1.67781			0.349848			0.174924	+	0.984582i	$0.444032\pi$
$24$	2.49994	+	4.21311i	0.510298	+	0.859998i
$25$	2.09622			0.419245
$26$	5.98387	−	0.0712257i	1.17353	−	0.0139685i
$27$	−5.18294	−	0.370294i	−0.997458	−	0.0712631i
$28$	3.86052	−	3.61889i	0.729571	−	0.683905i
$29$	4.04957	−	2.33802i	0.751986	−	0.434160i	−0.0744248	−	0.997227i	$-0.523712\pi$
$29$	4.04957	−	2.33802i	0.751986	−	0.434160i	0.826411	+	0.563067i	$0.190379\pi$
$30$	3.58980	+	2.12979i	0.655404	+	0.388845i
$31$	4.90666	−	2.83286i	0.881262	−	0.508797i	0.0101879	−	0.999948i	$-0.496757\pi$
$31$	4.90666	−	2.83286i	0.881262	−	0.508797i	0.871074	+	0.491151i	$0.163424\pi$
$32$	−2.53204	+	5.05853i	−0.447606	+	0.894231i
$33$	0.164443	+	0.301138i	0.0286259	+	0.0524213i
$34$	−0.0943703	−	7.92831i	−0.0161844	−	1.35969i
$35$	1.40923	−	4.28258i	0.238203	−	0.723889i
$36$	−2.87579	−	5.26591i	−0.479298	−	0.877652i
$37$	−2.01511	−	3.49027i	−0.331282	−	0.573797i	0.651481	−	0.758665i	$-0.274148\pi$
$37$	−2.01511	−	3.49027i	−0.331282	−	0.573797i	−0.982764	+	0.184867i	$0.940815\pi$
$38$	9.92881	+	5.57590i	1.61067	+	0.904531i
$39$	−7.32716	−	0.174233i	−1.17328	−	0.0278995i
$40$	0.172064	+	4.81670i	0.0272057	+	0.761587i
$41$	7.25892	+	4.19094i	1.13365	+	0.654514i	0.944851	−	0.327501i	$-0.106206\pi$
$41$	7.25892	+	4.19094i	1.13365	+	0.654514i	0.188801	+	0.982015i	$0.439540\pi$
$42$	−4.88324	+	4.26074i	−0.753501	+	0.657447i
$43$	3.72962	−	2.15330i	0.568762	−	0.328375i	−0.187893	−	0.982190i	$-0.560166\pi$
$43$	3.72962	−	2.15330i	0.568762	−	0.328375i	0.756655	+	0.653815i	$0.226832\pi$
$44$	−0.189872	+	0.347729i	−0.0286243	+	0.0524222i
$45$	−4.30075	−	2.76361i	−0.641118	−	0.411975i
$46$	−1.21076	−	2.04062i	−0.178517	−	0.300874i
$47$	1.65627	−	2.86874i	0.241592	−	0.418449i	−0.719576	−	0.694413i	$-0.755664\pi$
$47$	1.65627	−	2.86874i	0.241592	−	0.418449i	0.961168	+	0.275965i	$0.0889973\pi$
$48$	3.32012	−	6.08085i	0.479218	−	0.877696i
$49$	5.63218	+	4.15675i	0.804597	+	0.593821i
$50$	−1.51271	−	2.54952i	−0.213929	−	0.360556i
$51$	−0.230849	+	9.70810i	−0.0323253	+	1.35941i
$52$	−4.40479	−	7.22644i	−0.610834	−	1.00213i
$53$	−10.1145	−	5.83960i	−1.38933	−	0.802131i	−0.396092	−	0.918211i	$-0.629634\pi$
$53$	−10.1145	−	5.83960i	−1.38933	−	0.802131i	−0.993240	+	0.116080i	$0.962967\pi$
$54$	3.28982	+	6.57093i	0.447688	+	0.894190i
$55$			0.337564i			0.0455171i
$56$	−7.18733	−	2.08382i	−0.960447	−	0.278462i
$57$	−11.9089	−	7.25846i	−1.57738	−	0.961406i
$58$	−5.76591	−	3.23806i	−0.757101	−	0.425179i
$59$	0.895722	+	1.55144i	0.116613	+	0.201980i	0.918423	−	0.395599i	$-0.129463\pi$
$59$	0.895722	+	1.55144i	0.116613	+	0.201980i	−0.801810	+	0.597579i	$0.796130\pi$
$60$	−0.000178627	−	5.90299i	−2.30606e−5	−	0.762073i
$61$	−0.960617	+	1.66384i	−0.122994	+	0.213033i	−0.920947	−	0.389687i	$-0.872583\pi$
$61$	−0.960617	+	1.66384i	−0.122994	+	0.213033i	0.797953	+	0.602720i	$0.205916\pi$
$62$	−6.98626	−	3.92340i	−0.887256	−	0.498272i
$63$	6.16306	−	5.00167i	0.776472	−	0.630152i
$64$	7.97961	−	0.570829i	0.997451	−	0.0713536i
$65$	−6.24468	−	3.60537i	−0.774557	−	0.447191i
$66$	0.247588	−	0.417314i	0.0304760	−	0.0513678i
$67$	2.61104	−	1.50749i	0.318990	−	0.184169i	−0.331952	−	0.943296i	$-0.607707\pi$
$67$	2.61104	−	1.50749i	0.318990	−	0.184169i	0.650942	+	0.759127i	$0.274374\pi$
$68$	−9.57464	+	5.83611i	−1.16110	+	0.707733i
$69$	1.39279	+	2.55055i	0.167672	+	0.307050i
$70$	−6.22560	+	1.37649i	−0.744102	+	0.164522i
$71$	−3.11658			−0.369870			−0.184935	−	0.982751i	$-0.559207\pi$
$71$	−3.11658			−0.369870			−0.184935	+	0.982751i	$0.559207\pi$
$72$	−4.32936	+	7.29771i	−0.510220	+	0.860044i
$73$	−3.10208	+	5.37296i	−0.363071	+	0.628857i	−0.988465	−	0.151452i	$-0.951605\pi$
$73$	−3.10208	+	5.37296i	−0.363071	+	0.628857i	0.625394	+	0.780309i	$0.284938\pi$
$74$	−2.79085	+	4.96956i	−0.324429	+	0.577700i
$75$	1.74012	+	3.18660i	0.200932	+	0.367957i
$76$	−0.383320	−	16.0996i	−0.0439698	−	1.84675i
$77$	−0.497850	−	0.163823i	−0.0567353	−	0.0186693i
$78$	5.07562	+	9.03733i	0.574701	+	1.02328i
$79$	6.93603	+	4.00452i	0.780364	+	0.450544i	0.836559	−	0.547876i	$-0.184564\pi$
$79$	6.93603	+	4.00452i	0.780364	+	0.450544i	−0.0561950	+	0.998420i	$0.517897\pi$
$80$	5.73411	−	3.68517i	0.641093	−	0.412014i
$81$	−3.73957	−	8.18631i	−0.415508	−	0.909590i
$82$	−0.141085	−	11.8529i	−0.0155802	−	1.30894i
$83$	−1.15699	−	2.00397i	−0.126996	−	0.219964i	0.795515	−	0.605934i	$-0.207200\pi$
$83$	−1.15699	−	2.00397i	−0.126996	−	0.219964i	−0.922512	+	0.385969i	$0.873867\pi$
$84$	8.70601	+	2.86451i	0.949903	+	0.312544i
$85$	−4.77692	+	8.27387i	−0.518130	+	0.897427i
$86$	−5.31036	−	2.98223i	−0.572630	−	0.321582i
$87$	6.91581	+	4.21517i	0.741453	+	0.451913i
$88$	0.559941	−	0.0200024i	0.0596900	−	0.00213227i
$89$	14.5784	−	8.41683i	1.54531	−	0.892183i	0.546816	−	0.837253i	$-0.315840\pi$
$89$	14.5784	−	8.41683i	1.54531	−	0.892183i	0.998490	−	0.0549296i	$-0.0174935\pi$
$90$	−0.257658	+	7.22507i	−0.0271596	+	0.761589i
$91$	8.34791	−	7.46014i	0.875098	−	0.782035i
$92$	−1.60816	+	2.94517i	−0.167663	+	0.307055i
$93$	8.37954	+	5.10730i	0.868918	+	0.529603i
$94$	−4.68430	+	0.0557570i	−0.483149	+	0.00575090i
$95$	−6.86056	−	11.8828i	−0.703879	−	1.21915i
$96$	−9.79170	+	0.350079i	−0.999361	+	0.0357298i
$97$	−2.68058	−	4.64290i	−0.272171	−	0.471415i	0.697246	−	0.716832i	$-0.254408\pi$
$97$	−2.68058	−	4.64290i	−0.272171	−	0.471415i	−0.969418	+	0.245417i	$0.921075\pi$
$98$	0.991243	−	9.84974i	0.100131	−	0.994974i
$99$	−0.321270	+	0.499962i	−0.0322889	+	0.0502481i
$100$	−2.00921	+	3.67963i	−0.200921	+	0.367963i
$101$			2.52770i			0.251516i	0.992061	+	0.125758i	$0.0401363\pi$
$101$			2.52770i			0.251516i	−0.992061	+	0.125758i	$0.959864\pi$
$102$	11.9740	−	6.72493i	1.18560	−	0.665867i
$103$		−	6.67975i		−	0.658176i	−0.944299	−	0.329088i	$-0.893259\pi$
$103$		−	6.67975i		−	0.658176i	0.944299	−	0.329088i	$-0.106741\pi$
$104$	−5.61045	+	10.5721i	−0.550150	+	1.03668i
$105$	7.68006	−	1.41281i	0.749497	−	0.137876i
$106$	0.196586	+	16.5157i	0.0190941	+	1.60415i
$107$	7.33504	+	12.7047i	0.709105	+	1.22821i	0.965189	+	0.261552i	$0.0842342\pi$
$107$	7.33504	+	12.7047i	0.709105	+	1.22821i	−0.256084	+	0.966654i	$0.582432\pi$
$108$	5.61779	−	8.74302i	0.540573	−	0.841297i
$109$	−4.21862	+	7.30686i	−0.404070	+	0.699870i	−0.994213	−	0.107429i	$-0.965738\pi$
$109$	−4.21862	+	7.30686i	−0.404070	+	0.699870i	0.590143	+	0.807299i	$0.299072\pi$
$110$	0.410560	−	0.243598i	0.0391453	−	0.0232261i
$111$	3.63300	−	5.96065i	0.344829	−	0.565760i
$112$	2.65219	+	10.2453i	0.250608	+	0.968089i
$113$	11.5387	+	6.66185i	1.08547	+	0.626694i	0.932366	−	0.361516i	$-0.117741\pi$
$113$	11.5387	+	6.66185i	1.08547	+	0.626694i	0.153101	+	0.988211i	$0.451074\pi$
$114$	−0.234154	+	19.7221i	−0.0219306	+	1.84714i
$115$			2.85907i			0.266609i
$116$	0.222603	+	9.34943i	0.0206682	+	0.868073i
$117$	−5.81758	−	11.2831i	−0.537835	−	1.04312i
$118$	1.24054	−	2.20898i	0.114201	−	0.203353i
$119$	−9.88429	−	11.0605i	−0.906091	−	1.01392i
$120$	−7.17934	+	4.26002i	−0.655381	+	0.388884i
$121$	−10.9608			−0.996433
$122$	2.71684	−	0.0323384i	0.245971	−	0.00292778i
$123$	−0.345122	+	14.5137i	−0.0311186	+	1.30866i
$124$	0.269717	+	11.3282i	0.0242213	+	1.01731i
$125$			12.0923i			1.08157i
$126$	−10.5307	−	3.88639i	−0.938151	−	0.346227i
$127$		−	5.78907i		−	0.513697i	−0.966452	−	0.256848i	$-0.917316\pi$
$127$		−	5.78907i		−	0.513697i	0.966452	−	0.256848i	$-0.0826841\pi$
$128$	−6.45262	−	9.29321i	−0.570337	−	0.821411i
$129$	6.36941	+	3.88214i	0.560795	+	0.341803i
$130$	0.121372	+	10.1968i	0.0106450	+	0.894318i
$131$	2.83861			0.248010			0.124005	−	0.992282i	$-0.460426\pi$
$131$	2.83861			0.248010			0.124005	+	0.992282i	$0.460426\pi$
$132$	−0.686223		2.07654e-5i	−0.0597280		1.80739e-6i
$133$	20.8547	−	4.35133i	1.80833	−	0.377308i
$134$	−3.71769	−	2.08781i	−0.321159	−	0.180359i
$135$	0.630998	−	8.83198i	0.0543077	−	0.760135i
$136$	14.0075	+	7.43355i	1.20113	+	0.637422i
$137$		−	6.15427i		−	0.525795i	−0.964824	−	0.262898i	$-0.915322\pi$
$137$		−	6.15427i		−	0.525795i	0.964824	−	0.262898i	$-0.0846781\pi$
$138$	2.09700	−	3.53453i	0.178508	−	0.300879i
$139$	15.4399	+	8.91425i	1.30960	+	0.756097i	0.982029	−	0.188730i	$-0.0604372\pi$
$139$	15.4399	+	8.91425i	1.30960	+	0.756097i	0.327569	+	0.944827i	$0.393771\pi$
$140$	6.16675	+	6.57852i	0.521186	+	0.555986i
$141$	5.73586	+	0.136393i	0.483047	+	0.0114864i
$142$	2.24903	+	3.79052i	0.188734	+	0.318093i
$143$	−0.419124	+	0.725944i	−0.0350489	+	0.0607065i
$144$	12.0000		0.000726250i	1.00000		6.05208e-5i
$145$	3.98410	+	6.90066i	0.330861	+	0.573069i
$146$	8.77338	−	0.104429i	0.726090	−	0.00864261i
$147$	−1.64354	+	12.0124i	−0.135557	+	0.990770i
$148$	8.05816	−	0.191859i	0.662376	−	0.0157707i
$149$		−	11.8132i		−	0.967779i	−0.875129	−	0.483890i	$-0.839224\pi$
$149$		−	11.8132i		−	0.967779i	0.875129	−	0.483890i	$-0.160776\pi$
$150$	2.61995	−	4.41597i	0.213918	−	0.360562i
$151$			21.9612i			1.78718i	0.448883	+	0.893590i	$0.351822\pi$
$151$			21.9612i			1.78718i	−0.448883	+	0.893590i	$0.648178\pi$
$152$	−19.3044	+	12.0842i	−1.56579	+	0.980160i
$153$	−14.9495	+	7.70798i	−1.20860	+	0.623153i
$154$	0.160017	+	0.723726i	0.0128946	+	0.0583195i
$155$	4.82733	+	8.36118i	0.387740	+	0.671586i
$156$	7.32885	−	12.6948i	0.586778	−	1.01640i
$157$	−6.32721	−	10.9591i	−0.504967	−	0.874628i	−0.999983	−	0.00574458i	$-0.998171\pi$
$157$	−6.32721	−	10.9591i	−0.504967	−	0.874628i	0.495017	−	0.868883i	$-0.335162\pi$
$158$	−0.134809	−	11.3257i	−0.0107248	−	0.901023i
$159$	0.480889	−	20.2233i	0.0381370	−	1.60381i
$160$	−8.61998	−	4.31472i	−0.681469	−	0.341109i
$161$	−4.21664	−	1.38753i	−0.332318	−	0.109353i
$162$	−7.25793	+	10.4557i	−0.570237	+	0.821480i
$163$	−16.6961	+	9.63951i	−1.30774	+	0.755025i	−0.981719	−	0.190337i	$-0.939042\pi$
$163$	−16.6961	+	9.63951i	−1.30774	+	0.755025i	−0.326022	+	0.945362i	$0.605709\pi$
$164$	−14.3142	+	8.72506i	−1.11775	+	0.681313i
$165$	−0.513153	+	0.280219i	−0.0399489	+	0.0218151i
$166$	−1.60239	+	2.85331i	−0.124369	+	0.221460i
$167$	−2.49296	+	4.31793i	−0.192911	+	0.334131i	−0.946214	−	0.323543i	$-0.895126\pi$
$167$	−2.49296	+	4.31793i	−0.192911	+	0.334131i	0.753303	+	0.657674i	$0.228459\pi$
$168$	−2.79861	−	12.6557i	−0.215918	−	0.976412i
$169$	−2.45294	−	4.24862i	−0.188688	−	0.326817i
$170$	13.5102	−	0.160811i	1.03619	−	0.0123337i
$171$	1.14817	−	24.1289i	0.0878030	−	1.84519i
$172$	0.205016	+	8.61076i	0.0156323	+	0.656564i
$173$	−6.07484	−	3.50731i	−0.461861	−	0.266656i	0.250965	−	0.967996i	$-0.419252\pi$
$173$	−6.07484	−	3.50731i	−0.461861	−	0.266656i	−0.712827	+	0.701340i	$0.752585\pi$
$174$	0.135979	−	11.4531i	0.0103086	−	0.868258i
$175$	−5.26819	−	1.73355i	−0.398238	−	0.131044i
$176$	−0.428400	−	0.666590i	−0.0322919	−	0.0502461i
$177$	−1.61488	+	2.64953i	−0.121382	+	0.199151i
$178$	−20.7572	−	11.6570i	−1.55582	−	0.873727i
$179$	0.0843187	−	0.146044i	0.00630227	−	0.0109159i	−0.862857	−	0.505448i	$-0.831327\pi$
$179$	0.0843187	−	0.146044i	0.00630227	−	0.0109159i	0.869159	+	0.494532i	$0.164661\pi$
$180$	8.97337	−	4.90048i	0.668835	−	0.365260i
$181$	7.33936			0.545530			0.272765	−	0.962081i	$-0.412062\pi$
$181$	7.33936			0.545530			0.272765	+	0.962081i	$0.412062\pi$
$182$	−15.0975	−	4.76959i	−1.11910	−	0.353546i
$183$	−3.32673	−	0.0791064i	−0.245919	−	0.00584771i
$184$	4.74254	−	0.169415i	0.349625	−	0.0124894i
$185$	5.94759	−	3.43384i	0.437276	−	0.252461i
$186$	0.164759	−	13.8772i	0.0120807	−	1.01752i
$187$	0.961837	+	0.555317i	0.0703365	+	0.0406088i
$188$	3.44816	+	5.65701i	0.251483	+	0.412580i
$189$	12.7195	+	5.21685i	0.925204	+	0.379470i
$190$	−9.50160	+	16.9192i	−0.689318	+	1.22745i
$191$	0.721088	−	1.24896i	0.0521761	−	0.0903717i	−0.838758	−	0.544505i	$-0.816718\pi$
$191$	0.721088	−	1.24896i	0.0521761	−	0.0903717i	0.890934	+	0.454133i	$0.150051\pi$
$192$	7.49180	+	11.6565i	0.540674	+	0.841232i
$193$	−8.67277	−	15.0217i	−0.624280	−	1.08128i	−0.988680	−	0.150041i	$-0.952059\pi$
$193$	−8.67277	−	15.0217i	−0.624280	−	1.08128i	0.364400	−	0.931242i	$-0.381274\pi$
$194$	−3.71249	+	6.61070i	−0.266541	+	0.474621i
$195$	0.296900	−	12.4858i	0.0212615	−	0.894129i
$196$	−12.6950	+	5.90232i	−0.906785	+	0.421594i
$197$		−	15.1233i		−	1.07749i	−0.842469	−	0.538746i	$-0.818898\pi$
$197$		−	15.1233i		−	1.07749i	0.842469	−	0.538746i	$-0.181102\pi$
$198$	0.839914	+	0.0299528i	0.0596901	+	0.00212865i
$199$	−3.29348	−	1.90149i	−0.233468	−	0.134793i	0.378703	−	0.925518i	$-0.376370\pi$
$199$	−3.29348	−	1.90149i	−0.233468	−	0.134793i	−0.612171	+	0.790725i	$0.709704\pi$
$200$	5.92524	−	0.211663i	0.418977	−	0.0149669i
$201$	4.45911	+	2.71781i	0.314521	+	0.191700i
$202$	3.07430	−	1.82408i	0.216307	−	0.128342i
$203$	−12.1108	+	2.52692i	−0.850014	+	0.177355i
$204$	−16.8200	−	9.71034i	−1.17763	−	0.679860i
$205$	−7.14155	+	12.3695i	−0.498788	+	0.863926i
$206$	−8.12420	+	4.82034i	−0.566040	+	0.335849i
$207$	−2.72106	+	4.23453i	−0.189127	+	0.294320i
$208$	16.9070	−	0.805541i	1.17229	−	0.0558542i
$209$	−1.38138	+	0.797540i	−0.0955521	+	0.0551670i
$210$	−7.26051	−	8.32128i	−0.501023	−	0.574223i
$211$	0.272807	+	0.157505i	0.0187808	+	0.0108431i	0.509361	−	0.860553i	$-0.329882\pi$
$211$	0.272807	+	0.157505i	0.0187808	+	0.0108431i	−0.490580	+	0.871396i	$0.663215\pi$
$212$	19.9453	−	12.1574i	1.36985	−	0.834974i
$213$	−2.58714	−	4.73771i	−0.177268	−	0.324623i
$214$	10.1587	−	18.0893i	0.694437	−	1.23656i
$215$	3.66932	+	6.35545i	0.250246	+	0.433438i
$216$	−14.6876	−	0.523341i	−0.999366	−	0.0356088i
$217$	−14.6741	+	3.06175i	−0.996142	+	0.207845i
$218$	11.9312	−	0.142017i	0.808083	−	0.00961857i
$219$	−10.7429	−	0.255455i	−0.725936	−	0.0172620i
$220$	−0.592547	−	0.323552i	−0.0399495	−	0.0218138i
$221$	−20.5459	+	11.8622i	−1.38207	+	0.797936i
$222$	−9.87129	−	0.117199i	−0.662517	−	0.00786586i
$223$	−0.407781	+	0.235432i	−0.0273070	+	0.0157657i	−0.513591	−	0.858035i	$-0.671685\pi$
$223$	−0.407781	+	0.235432i	−0.0273070	+	0.0157657i	0.486284	+	0.873801i	$0.338352\pi$
$224$	10.5468	−	10.6190i	0.704690	−	0.709515i
$225$	−3.39964	+	5.29054i	−0.226643	+	0.352703i
$226$	−0.224266	−	18.8412i	−0.0149180	−	1.25330i
$227$	−9.72671			−0.645584			−0.322792	−	0.946470i	$-0.604622\pi$
$227$	−9.72671			−0.645584			−0.322792	+	0.946470i	$0.604622\pi$
$228$	24.1558	−	13.9473i	1.59976	−	0.923685i
$229$	20.3222			1.34293			0.671463	−	0.741038i	$-0.265666\pi$
$229$	20.3222			1.34293			0.671463	+	0.741038i	$0.265666\pi$
$230$	3.47732	−	2.06320i	0.229288	−	0.136043i
$231$	−0.164239	−	0.892807i	−0.0108061	−	0.0587424i
$232$	11.2105	−	7.01761i	0.736008	−	0.460728i
$233$	−4.00810	+	2.31408i	−0.262579	+	0.151600i	−0.625511	−	0.780216i	$-0.715109\pi$
$233$	−4.00810	+	2.31408i	−0.262579	+	0.151600i	0.362931	+	0.931816i	$0.381776\pi$
$234$	−9.52484	+	15.2179i	−0.622658	+	0.994823i
$235$	4.88847	+	2.82236i	0.318889	+	0.184110i
$236$	−3.58187	+	0.0852818i	−0.233160	+	0.00555137i
$237$	−0.329770	+	13.8681i	−0.0214209	+	0.900833i
$238$	−6.31946	+	20.0033i	−0.409629	+	1.29662i
$239$	−4.44328	+	7.69598i	−0.287412	+	0.497812i	−0.973191	−	0.229998i	$-0.926128\pi$
$239$	−4.44328	+	7.69598i	−0.287412	+	0.497812i	0.685779	+	0.727809i	$0.259461\pi$
$240$	10.3621	+	5.65764i	0.668868	+	0.365199i
$241$	−11.4536			−0.737793			−0.368896	−	0.929471i	$-0.620264\pi$
$241$	−11.4536			−0.737793			−0.368896	+	0.929471i	$0.620264\pi$
$242$	7.90965	+	13.3309i	0.508452	+	0.856945i
$243$	9.34023	−	12.4804i	0.599176	−	0.800617i
$244$	−1.99990	−	3.28100i	−0.128030	−	0.210045i
$245$	−7.08330	+	9.59750i	−0.452535	+	0.613162i
$246$	17.9013	−	10.0538i	1.14134	−	0.641010i
$247$		−	34.0727i		−	2.16799i
$248$	13.5832	−	8.50288i	0.862537	−	0.539933i
$249$	2.08592	−	3.42236i	0.132190	−	0.216883i
$250$	14.7072	−	8.72621i	0.930163	−	0.551894i
$251$	28.9516			1.82741			0.913704	−	0.406380i	$-0.133209\pi$
$251$	28.9516			1.82741			0.913704	+	0.406380i	$0.133209\pi$
$252$	2.87253	+	15.6124i	0.180952	+	0.983492i
$253$	0.332367			0.0208957
$254$	−7.04091	+	4.17759i	−0.441786	+	0.262125i
$255$	−16.5431	−	0.393377i	−1.03597	−	0.0246342i
$256$	−6.64636	+	14.5542i	−0.415397	+	0.909640i
$257$			14.6604i			0.914488i	0.889341	+	0.457244i	$0.151163\pi$
$257$			14.6604i			0.914488i	−0.889341	+	0.457244i	$0.848837\pi$
$258$	0.125236	−	10.5482i	0.00779684	−	0.656704i
$259$	2.17792	+	10.4382i	0.135330	+	0.648596i
$260$	12.3142	−	7.50597i	0.763693	−	0.465500i
$261$	−0.666772	+	14.0123i	−0.0412722	+	0.867338i
$262$	−2.04843	−	3.45243i	−0.126553	−	0.213292i
$263$	11.4839			0.708125			0.354062	−	0.935222i	$-0.384800\pi$
$263$	11.4839			0.708125			0.354062	+	0.935222i	$0.384800\pi$
$264$	0.495227	+	0.834598i	0.0304791	+	0.0513660i
$265$	9.95096	−	17.2356i	0.611283	−	1.05877i
$266$	−20.3417	−	22.2243i	−1.24723	−	1.36266i
$267$	24.8968	+	15.1745i	1.52366	+	0.928666i
$268$	0.143528	+	6.02824i	0.00876736	+	0.368233i
$269$	4.24420	+	2.45039i	0.258774	+	0.149403i	0.623775	−	0.781604i	$-0.285598\pi$
$269$	4.24420	+	2.45039i	0.258774	+	0.149403i	−0.365001	+	0.931007i	$0.618932\pi$
$270$	−11.1972	+	5.60601i	−0.681438	+	0.341171i
$271$	−20.2452	+	11.6886i	−1.22981	+	0.710032i	−0.966990	−	0.254813i	$-0.917986\pi$
$271$	−20.2452	+	11.6886i	−1.22981	+	0.710032i	−0.262821	+	0.964845i	$0.584653\pi$
$272$	−1.06730	−	22.4008i	−0.0647145	−	1.35825i
$273$	18.2704	+	6.49736i	1.10578	+	0.393238i
$274$	−7.48509	+	4.44113i	−0.452191	+	0.268299i
$275$	0.415252			0.0250407
$276$	−5.81211		0.000175877i	−0.349848		1.05865e-5i
$277$	17.7449			1.06619			0.533094	−	0.846056i	$-0.321029\pi$
$277$	17.7449			1.06619			0.533094	+	0.846056i	$0.321029\pi$
$278$	−0.300091	−	25.2115i	−0.0179983	−	1.51209i
$279$	−0.807894	+	16.9780i	−0.0483674	+	1.01644i
$280$	3.55093	−	12.2475i	0.212209	−	0.731931i
$281$	−6.95796	+	4.01718i	−0.415077	+	0.239645i	−0.692969	−	0.720967i	$-0.743698\pi$
$281$	−6.95796	+	4.01718i	−0.415077	+	0.239645i	0.277892	+	0.960612i	$0.410364\pi$
$282$	−3.97330	−	7.07462i	−0.236607	−	0.421287i
$283$	−15.8428	+	9.14682i	−0.941754	+	0.543722i	−0.890510	−	0.454964i	$-0.849652\pi$
$283$	−15.8428	+	9.14682i	−0.941754	+	0.543722i	−0.0512444	+	0.998686i	$0.516319\pi$
$284$	2.98721	−	5.47073i	0.177258	−	0.324628i
$285$	12.3688	−	20.2934i	0.732662	−	1.20208i
$286$	1.18538	−	0.0141095i	0.0700928	−	0.000834311i
$287$	−14.7771	−	16.5356i	−0.872266	−	0.976068i
$288$	−8.66049	−	14.5944i	−0.510324	−	0.859982i
$289$	7.21675	+	12.4998i	0.424515	+	0.735281i
$290$	5.51781	−	9.82538i	0.324017	−	0.576966i
$291$	4.83276	−	7.92909i	0.283301	−	0.464812i
$292$	−6.45818	−	10.5952i	−0.377936	−	0.620037i
$293$	−15.6706	−	9.04741i	−0.915484	−	0.528555i	−0.0332926	−	0.999446i	$-0.510599\pi$
$293$	−15.6706	−	9.04741i	−0.915484	−	0.528555i	−0.882192	+	0.470891i	$0.843933\pi$
$294$	15.7961	−	6.66964i	0.921246	−	0.388981i
$295$	−2.64372	+	1.52635i	−0.153923	+	0.0888677i
$296$	−6.04839	−	9.66222i	−0.351555	−	0.561605i
$297$	−1.02672	−	0.0733535i	−0.0595762	−	0.00425640i
$298$	−14.3678	+	8.52484i	−0.832303	+	0.493831i
$299$	−3.54986	+	6.14853i	−0.205293	+	0.355579i
$300$	−7.26153		0.000219737i	−0.419245		1.26865e-5i
$301$	−11.1540	+	2.32728i	−0.642905	+	0.134142i
$302$	26.7102	−	15.8480i	1.53700	−	0.911949i
$303$	−3.84252	+	2.09830i	−0.220747	+	0.120544i
$304$	28.6280	+	14.7584i	1.64193	+	0.846454i
$305$	−2.83526	−	1.63694i	−0.162346	−	0.0937307i
$306$	20.1629	+	12.6199i	1.15263	+	0.721432i
$307$		−	1.78940i		−	0.102127i	−0.998695	−	0.0510634i	$-0.983739\pi$
$307$		−	1.78940i		−	0.102127i	0.998695	−	0.0510634i	$-0.0162610\pi$
$308$	0.764753	−	0.716885i	0.0435758	−	0.0408483i
$309$	10.1543	−	5.54501i	0.577659	−	0.315445i
$310$	6.68566	−	11.9049i	0.379720	−	0.676154i
$311$	12.4485	+	21.5614i	0.705890	+	1.22264i	0.966370	+	0.257157i	$0.0827859\pi$
$311$	12.4485	+	21.5614i	0.705890	+	1.22264i	−0.260480	+	0.965479i	$0.583881\pi$
$312$	−20.7287	+	0.247360i	−1.17353	+	0.0140040i
$313$	−0.151235	+	0.261947i	−0.00854832	+	0.0148061i	−0.870268	−	0.492579i	$-0.836054\pi$
$313$	−0.151235	+	0.261947i	−0.00854832	+	0.0148061i	0.861720	+	0.507385i	$0.169388\pi$
$314$	−8.76293	+	15.6038i	−0.494521	+	0.880576i
$315$	8.52309	+	10.5021i	0.480222	+	0.591728i
$316$	−13.6775	+	8.33696i	−0.769419	+	0.468991i
$317$	6.90112	+	3.98437i	0.387606	+	0.223784i	0.681122	−	0.732170i	$-0.261492\pi$
$317$	6.90112	+	3.98437i	0.387606	+	0.223784i	−0.293517	+	0.955954i	$0.594826\pi$
$318$	−24.9434	+	14.0089i	−1.39876	+	0.785581i
$319$	0.802202	−	0.463151i	0.0449147	−	0.0259315i
$320$	0.972720	+	13.5976i	0.0543767	+	0.760131i
$321$	−13.2242	+	21.6969i	−0.738102	+	1.21100i
$322$	1.35530	+	6.12975i	0.0755279	+	0.341598i
$323$	−45.1445			−2.51191
$324$	17.9543	+	1.28219i	0.997460	+	0.0712329i
$325$	−4.43512	+	7.68186i	−0.246016	+	0.426113i
$326$	23.7725	+	13.3503i	1.31663	+	0.739406i
$327$	−14.6096	−	0.347401i	−0.807912	−	0.0192113i
$328$	20.9414	+	11.1132i	1.15630	+	0.613626i
$329$	−6.53492	+	5.83996i	−0.360282	+	0.321967i
$330$	0.711123	+	0.421902i	0.0391460	+	0.0232249i
$331$	−6.50255	−	3.75425i	−0.357413	−	0.206352i	0.310533	−	0.950563i	$-0.399493\pi$
$331$	−6.50255	−	3.75425i	−0.357413	−	0.206352i	−0.667945	+	0.744210i	$0.732826\pi$
$332$	4.62666	−	0.110157i	0.253921	−	0.00604567i
$333$	12.0770	+	0.574683i	0.661815	+	0.0314924i
$334$	7.05065	−	0.0839235i	0.385794	−	0.00459209i
$335$	2.56883	+	4.44934i	0.140350	+	0.243093i
$336$	−13.3729	+	12.5366i	−0.729550	+	0.683928i
$337$	11.9727	−	20.7373i	0.652193	−	1.12963i	−0.330397	−	0.943842i	$-0.607183\pi$
$337$	11.9727	−	20.7373i	0.652193	−	1.12963i	0.982590	−	0.185789i	$-0.0594840\pi$
$338$	−3.39723	+	6.04932i	−0.184785	+	0.329040i
$339$	−0.548601	+	23.0708i	−0.0297959	+	1.25303i
$340$	−9.94501	−	16.3156i	−0.539344	−	0.884840i
$341$	0.971987	−	0.561177i	0.0526361	−	0.0303894i
$342$	−30.1752	+	16.0158i	−1.63169	+	0.866035i
$343$	−10.7171	−	15.1044i	−0.578670	−	0.815562i
$344$	10.3248	−	6.46316i	0.556677	−	0.348470i
$345$	−4.34625	+	2.37338i	−0.233994	+	0.127778i
$346$	0.118071	+	9.91946i	0.00634753	+	0.533274i
$347$	−8.15669	−	14.1278i	−0.437874	−	0.758420i	0.559651	−	0.828728i	$-0.310935\pi$
$347$	−8.15669	−	14.1278i	−0.437874	−	0.758420i	−0.997525	+	0.0703080i	$0.977602\pi$
$348$	−14.0279	+	8.09957i	−0.751973	+	0.434182i
$349$	7.13872	+	12.3646i	0.382127	+	0.661863i	0.991366	−	0.131123i	$-0.0418584\pi$
$349$	7.13872	+	12.3646i	0.382127	+	0.661863i	−0.609239	+	0.792986i	$0.708525\pi$
$350$	1.69329	+	7.65839i	0.0905099	+	0.409358i
$351$	12.3229	−	18.2100i	0.657747	−	0.971980i
$352$	−0.501587	+	1.00207i	−0.0267347	+	0.0534106i
$353$		−	7.43304i		−	0.395621i	−0.980240	−	0.197810i	$-0.936617\pi$
$353$		−	7.43304i		−	0.395621i	0.980240	−	0.197810i	$-0.0633830\pi$
$354$	4.38782	+	0.0520952i	0.233210	+	0.00276883i
$355$		−	5.31080i		−	0.281868i
$356$	0.801368	+	33.6578i	0.0424724	+	1.78386i
$357$	8.60866	−	24.2073i	0.455618	−	1.28119i
$358$	−0.238472	+	0.00283852i	−0.0126037	+	0.000150021i
$359$	−4.23321	−	7.33213i	−0.223420	−	0.386975i	0.732424	−	0.680849i	$-0.238389\pi$
$359$	−4.23321	−	7.33213i	−0.223420	−	0.386975i	−0.955844	+	0.293874i	$0.905056\pi$
$360$	−12.4356	−	7.37743i	−0.655416	−	0.388825i
$361$	22.9180	−	39.6951i	1.20621	−	2.08922i
$362$	−5.29633	−	8.92644i	−0.278369	−	0.469163i
$363$	−9.09877	−	16.6621i	−0.477562	−	0.874536i
$364$	5.09386	+	21.8041i	0.266991	+	1.14284i
$365$	−9.15577	−	5.28609i	−0.479235	−	0.276686i
$366$	2.30447	+	4.10320i	0.120457	+	0.214478i
$367$		−	36.5194i		−	1.90630i	−0.302502	−	0.953149i	$-0.597822\pi$
$367$		−	36.5194i		−	1.90630i	0.302502	−	0.953149i	$-0.402178\pi$
$368$	−3.62843	−	5.64582i	−0.189145	−	0.294309i
$369$	−22.3497	+	11.5235i	−1.16348	+	0.599891i
$370$	−8.46837	−	4.75573i	−0.440249	−	0.247239i
$371$	20.5903	+	23.0406i	1.06899	+	1.19621i
$372$	−16.9969	+	9.81384i	−0.881247	+	0.508824i
$373$	−14.1373			−0.732000			−0.366000	−	0.930615i	$-0.619273\pi$
$373$	−14.1373			−0.732000			−0.366000	+	0.930615i	$0.619273\pi$
$374$	−0.0186943	−	1.57056i	−0.000966660	−	0.0812119i
$375$	−18.3823	+	10.0381i	−0.949256	+	0.518365i
$376$	4.39198	−	8.27609i	0.226499	−	0.426807i
$377$			19.7868i			1.01907i
$378$	−2.83383	−	19.2346i	−0.145757	−	0.989320i
$379$		−	29.1521i		−	1.49744i	−0.662886	−	0.748720i	$-0.730669\pi$
$379$		−	29.1521i		−	1.49744i	0.662886	−	0.748720i	$-0.269331\pi$
$380$	27.4345	−	0.653195i	1.40736	−	0.0335082i
$381$	8.80033	−	4.80564i	0.450855	−	0.246200i
$382$	−2.03940	+	0.0242749i	−0.104345	+	0.00124201i
$383$	21.0129			1.07371			0.536853	−	0.843676i	$-0.319613\pi$
$383$	21.0129			1.07371			0.536853	+	0.843676i	$0.319613\pi$
$384$	8.77073	−	17.5235i	0.447579	−	0.894244i
$385$	0.279162	−	0.848360i	0.0142274	−	0.0432364i
$386$	−12.0114	+	21.3883i	−0.611366	+	1.08864i
$387$	−0.614092	+	12.9052i	−0.0312161	+	0.656008i
$388$	10.7193	−	0.255218i	0.544189	−	0.0129567i
$389$			32.0479i			1.62489i	0.583035	+	0.812447i	$0.301865\pi$
$389$			32.0479i			1.62489i	−0.583035	+	0.812447i	$0.698135\pi$
$390$	−15.4000	+	8.64909i	−0.779811	+	0.437964i
$391$	8.14648	+	4.70337i	0.411985	+	0.237860i
$392$	16.3398	+	11.1809i	0.825283	+	0.564719i
$393$	2.35639	+	4.31515i	0.118864	+	0.217670i
$394$	−18.3936	+	10.9135i	−0.926656	+	0.549814i
$395$	−6.82389	+	11.8193i	−0.343347	+	0.594695i
$396$	−0.569680	−	1.04315i	−0.0286275	−	0.0524204i
$397$	−4.10637	−	7.11244i	−0.206093	−	0.356963i	0.744388	−	0.667748i	$-0.232742\pi$
$397$	−4.10637	−	7.11244i	−0.206093	−	0.356963i	−0.950480	+	0.310785i	$0.899408\pi$
$398$	0.0640122	+	5.37785i	0.00320864	+	0.269567i
$399$	23.9267	+	28.0904i	1.19783	+	1.40628i
$400$	−4.53328	−	7.05378i	−0.226664	−	0.352689i
$401$		−	30.1856i		−	1.50740i	−0.657219	−	0.753700i	$-0.728267\pi$
$401$		−	30.1856i		−	1.50740i	0.657219	−	0.753700i	$-0.271733\pi$
$402$	0.0876753	−	7.38463i	0.00437285	−	0.368312i
$403$			23.9747i			1.19427i
$404$	−4.43704	−	2.42278i	−0.220751	−	0.120538i
$405$	13.9499	−	6.37240i	0.693174	−	0.316647i
$406$	11.8129	+	12.9062i	0.586266	+	0.640523i
$407$	−0.399184	−	0.691407i	−0.0197868	−	0.0342718i
$408$	0.327739	+	27.4645i	0.0162255	+	1.35969i
$409$	−11.2888	−	19.5528i	−0.558195	−	0.966823i	−0.997647	−	0.0685566i	$-0.978161\pi$
$409$	−11.2888	−	19.5528i	−0.558195	−	0.966823i	0.439452	−	0.898266i	$-0.355173\pi$
$410$	20.1979	−	0.240415i	0.997505	−	0.0118732i
$411$	9.35550	−	5.10880i	0.461473	−	0.251999i
$412$	11.7254	+	6.40247i	0.577669	+	0.315427i
$413$	−0.968093	−	4.63980i	−0.0476368	−	0.228309i
$414$	7.11382	+	0.253691i	0.349625	+	0.0124683i
$415$	3.41486	−	1.97157i	0.167629	−	0.0967805i
$416$	−13.1804	−	19.9816i	−0.646221	−	0.979681i
$417$	−0.734085	+	30.8711i	−0.0359483	+	1.51177i
$418$	1.96685	+	1.10456i	0.0962019	+	0.0540258i
$419$	−7.51258	+	13.0122i	−0.367014	+	0.635686i	−0.989097	−	0.147265i	$-0.952953\pi$
$419$	−7.51258	+	13.0122i	−0.367014	+	0.635686i	0.622084	+	0.782951i	$0.286286\pi$
$420$	−4.88126	+	14.8354i	−0.238181	+	0.723896i
$421$	−13.1056	−	22.6995i	−0.638727	−	1.10631i	−0.985712	−	0.168437i	$-0.946128\pi$
$421$	−13.1056	−	22.6995i	−0.638727	−	1.10631i	0.346986	−	0.937870i	$-0.387205\pi$
$422$	−0.00530229	−	0.445460i	−0.000258111	−	0.0216847i
$423$	4.55413	+	8.83267i	0.221429	+	0.429459i
$424$	−29.1795	−	15.4851i	−1.41708	−	0.752021i
$425$	10.1781	+	5.87630i	0.493708	+	0.285042i
$426$	−3.89523	+	6.56548i	−0.188725	+	0.318099i
$427$	3.79018	−	3.38711i	0.183420	−	0.163914i
$428$	−29.3319	+	0.698370i	−1.41781	+	0.0337570i
$429$	−1.45148	−	0.0345147i	−0.0700780	−	0.00166638i
$430$	5.08186	−	9.04910i	0.245069	−	0.436386i
$431$	17.6583	−	30.5850i	0.850568	−	1.47323i	−0.0301278	−	0.999546i	$-0.509591\pi$
$431$	17.6583	−	30.5850i	0.850568	−	1.47323i	0.880696	−	0.473682i	$-0.157075\pi$
$432$	9.96257	+	18.2414i	0.479324	+	0.877638i
$433$	1.80233			0.0866147			0.0433073	−	0.999062i	$-0.486211\pi$
$433$	1.80233			0.0866147			0.0433073	+	0.999062i	$0.486211\pi$
$434$	14.3131	+	15.6378i	0.687053	+	0.750637i
$435$	−7.18284	+	11.7849i	−0.344391	+	0.565041i
$436$	−8.78269	−	14.4088i	−0.420614	−	0.690054i
$437$	−11.6999	+	6.75493i	−0.559681	+	0.323132i
$438$	7.44173	+	13.2503i	0.355580	+	0.633123i
$439$	15.6908	+	9.05907i	0.748880	+	0.432366i	0.825289	−	0.564711i	$-0.191012\pi$
$439$	15.6908	+	9.05907i	0.748880	+	0.432366i	−0.0764092	+	0.997077i	$0.524346\pi$
$440$	0.0340851	+	0.954167i	0.00162494	+	0.0454881i
$441$	−19.6252	+	7.47334i	−0.934534	+	0.355874i
$442$	29.2539	+	16.4286i	1.39147	+	0.781430i
$443$	13.1887	−	22.8435i	0.626615	−	1.08533i	−0.361611	−	0.932329i	$-0.617773\pi$
$443$	13.1887	−	22.8435i	0.626615	−	1.08533i	0.988226	−	0.153000i	$-0.0488936\pi$
$444$	6.98091	+	12.0905i	0.331299	+	0.573787i
$445$	14.3427	+	24.8423i	0.679908	+	1.17764i
$446$	0.580611	+	0.326064i	0.0274927	+	0.0154396i
$447$	17.9581	−	9.80644i	0.849388	−	0.463829i
$448$	−20.5263	−	5.16445i	−0.969776	−	0.243997i
$449$			27.4757i			1.29666i	0.761359	+	0.648330i	$0.224532\pi$
$449$			27.4757i			1.29666i	−0.761359	+	0.648330i	$0.775468\pi$
$450$	8.88787	+	0.316957i	0.418978	+	0.0149415i
$451$	1.43796	+	0.830206i	0.0677108	+	0.0390929i
$452$	−22.7537	+	13.8692i	−1.07024	+	0.652354i
$453$	−33.3847	+	18.2305i	−1.56855	+	0.856544i
$454$	7.01912	+	11.8300i	0.329424	+	0.555211i
$455$	12.7124	+	14.2252i	0.595968	+	0.666889i
$456$	−34.3950	−	19.3144i	−1.61069	−	0.904482i
$457$	9.82717	−	17.0211i	0.459695	−	0.796216i	−0.539249	−	0.842146i	$-0.681292\pi$
$457$	9.82717	−	17.0211i	0.459695	−	0.796216i	0.998945	+	0.0459304i	$0.0146253\pi$
$458$	−14.6652	−	24.7167i	−0.685258	−	1.15493i
$459$	−24.1273	−	16.3272i	−1.12617	−	0.762087i
$460$	−5.01870	−	2.74039i	−0.233998	−	0.127771i
$461$	26.9240	−	15.5446i	1.25397	−	0.723982i	0.282078	−	0.959392i	$-0.408976\pi$
$461$	26.9240	−	15.5446i	1.25397	−	0.723982i	0.971896	+	0.235409i	$0.0756431\pi$
$462$	−0.967348	+	0.844034i	−0.0450051	+	0.0392680i
$463$	−10.3176	−	5.95690i	−0.479502	−	0.276840i	0.240707	−	0.970598i	$-0.422621\pi$
$463$	−10.3176	−	5.95690i	−0.479502	−	0.276840i	−0.720209	+	0.693757i	$0.755954\pi$
$464$	−16.6250	−	8.57058i	−0.771797	−	0.397879i
$465$	−8.70309	+	14.2791i	−0.403596	+	0.662179i
$466$	5.70686	+	3.20490i	0.264365	+	0.148464i
$467$	5.73034	+	9.92525i	0.265169	+	0.459286i	0.967608	−	0.252458i	$-0.0812390\pi$
$467$	5.73034	+	9.92525i	0.265169	+	0.459286i	−0.702439	+	0.711744i	$0.747906\pi$
$468$	25.3821	+	0.602791i	1.17329	+	0.0278640i
$469$	−7.80871	+	1.62929i	−0.360572	+	0.0752334i
$470$	−0.0950126	−	7.98227i	−0.00438260	−	0.368195i
$471$	11.4072	−	18.7158i	0.525616	−	0.862377i
$472$	2.68852	+	4.29488i	0.123749	+	0.197688i
$473$	0.738822	−	0.426559i	0.0339711	−	0.0196132i
$474$	17.1050	−	9.60664i	0.785658	−	0.441248i
$475$	−14.6176	+	8.43948i	−0.670702	+	0.387230i
$476$	28.8892	−	6.74910i	1.32414	−	0.309344i
$477$	31.1419	−	16.0567i	1.42589	−	0.735188i
$478$	12.5666	−	0.149580i	0.574783	−	0.00684161i
$479$	8.57295			0.391708			0.195854	−	0.980633i	$-0.437252\pi$
$479$	8.57295			0.391708			0.195854	+	0.980633i	$0.437252\pi$
$480$	−0.596552	−	16.6855i	−0.0272287	−	0.761586i
$481$	17.0540			0.777596
$482$	8.26532	+	13.9304i	0.376475	+	0.634511i
$483$	−1.39106	−	7.56181i	−0.0632953	−	0.344074i
$484$	10.5058	−	19.2401i	0.477535	−	0.874550i
$485$	7.91172	−	4.56783i	0.359253	−	0.207415i
$486$	−21.9194	−	2.35371i	−0.994284	−	0.106766i
$487$	6.13698	+	3.54319i	0.278093	+	0.160557i	0.632560	−	0.774511i	$-0.282004\pi$
$487$	6.13698	+	3.54319i	0.278093	+	0.160557i	−0.354467	+	0.935069i	$0.615338\pi$
$488$	−2.54730	+	4.80004i	−0.115311	+	0.217288i
$489$	−28.5135	−	17.3789i	−1.28942	−	0.785899i
$490$	16.7844	+	1.68912i	0.758243	+	0.0763069i
$491$	13.9817	−	24.2169i	0.630984	−	1.09290i	−0.356367	−	0.934346i	$-0.615985\pi$
$491$	13.9817	−	24.2169i	0.630984	−	1.09290i	0.987351	−	0.158550i	$-0.0506818\pi$
$492$	−25.1461	−	14.5171i	−1.13367	−	0.654480i
$493$	26.2165			1.18073
$494$	−41.4406	+	24.5880i	−1.86450	+	1.10627i
$495$	−0.851959	−	0.547459i	−0.0382927	−	0.0246065i
$496$	−20.1437	−	10.3845i	−0.904478	−	0.466280i
$497$	7.83254	+	2.57738i	0.351337	+	0.115611i
$498$	−5.66768	−	0.0672906i	−0.253975	−	0.00301536i
$499$			16.2848i			0.729007i	0.931202	+	0.364503i	$0.118761\pi$
$499$			16.2848i			0.729007i	−0.931202	+	0.364503i	$0.881239\pi$
$500$	−21.2264	−	11.5903i	−0.949272	−	0.518336i
$501$	−8.63342	−	0.205294i	−0.385713	−	0.00917186i
$502$	−20.8924	−	35.2121i	−0.932476	−	1.57160i
$503$	8.58847			0.382941			0.191470	−	0.981498i	$-0.438674\pi$
$503$	8.58847			0.382941			0.191470	+	0.981498i	$0.438674\pi$
$504$	16.9156	−	14.7602i	0.753481	−	0.657470i
$505$	−4.30732			−0.191673
$506$	−0.239847	−	0.404238i	−0.0106625	−	0.0179706i
$507$	4.42236	−	7.25575i	0.196404	−	0.322239i
$508$	10.1619	+	5.54876i	0.450862	+	0.246187i
$509$		−	38.5349i		−	1.70803i	−0.520249	−	0.854014i	$-0.674161\pi$
$509$		−	38.5349i		−	1.70803i	0.520249	−	0.854014i	$-0.325839\pi$
$510$	11.4596	+	20.4042i	0.507439	+	0.903515i
$511$	12.2395	−	10.9378i	0.541442	−	0.483862i
$512$	22.4977	−	2.41925i	0.994268	−	0.106917i
$513$	37.6331	−	18.2846i	1.66154	−	0.807283i
$514$	17.8305	−	10.5794i	0.786471	−	0.466638i
$515$	11.3826			0.501578
$516$	−12.9196	+	7.45964i	−0.568752	+	0.328392i
$517$	0.328099	−	0.568285i	0.0144298	−	0.0249931i
$518$	11.1237	−	10.1814i	0.488746	−	0.447346i
$519$	0.288825	−	12.1462i	0.0126780	−	0.533161i
$520$	−18.0154	−	9.56047i	−0.790028	−	0.419254i
$521$	−11.2476	−	6.49380i	−0.492766	−	0.284499i	0.232955	−	0.972487i	$-0.425160\pi$
$521$	−11.2476	−	6.49380i	−0.492766	−	0.284499i	−0.725721	+	0.687989i	$0.758494\pi$
$522$	17.5235	−	9.30077i	0.766982	−	0.407084i
$523$	−20.2920	+	11.7156i	−0.887305	+	0.512286i	−0.873060	−	0.487613i	$-0.837868\pi$
$523$	−20.2920	+	11.7156i	−0.887305	+	0.512286i	−0.0142450	+	0.999899i	$0.504534\pi$
$524$	−2.72078	+	4.98278i	−0.118858	+	0.217674i
$525$	−1.73796	−	9.44758i	−0.0758508	−	0.412326i
$526$	−8.28714	−	13.9671i	−0.361336	−	0.608996i
$527$	31.7652			1.38371
$528$	0.657701	−	1.20459i	0.0286228	−	0.0524230i
$529$	−20.1850			−0.877607
$530$	−28.1436	+	0.334991i	−1.22248	+	0.0145511i
$531$	−5.36826	−	0.255448i	−0.232963	−	0.0110855i
$532$	−12.3508	+	40.7782i	−0.535477	+	1.76796i
$533$	−30.7164	+	17.7341i	−1.33047	+	0.768149i
$534$	0.489523	−	41.2310i	0.0211837	−	1.78424i
$535$	−21.6493	+	12.4993i	−0.935983	+	0.540390i
$536$	7.22822	−	4.52474i	0.312212	−	0.195439i
$537$	0.292006	+	0.00694360i	0.0126010	+	0.000299639i
$538$	−0.0824905	−	6.93026i	−0.00355642	−	0.298785i
$539$	1.11571	+	0.823433i	0.0480570	+	0.0354678i
$540$	14.8985	+	9.57299i	0.641130	+	0.411956i
$541$	8.28869	+	14.3564i	0.356359	+	0.617231i	0.987349	−	0.158559i	$-0.0506848\pi$
$541$	8.28869	+	14.3564i	0.356359	+	0.617231i	−0.630991	+	0.775790i	$0.717351\pi$
$542$	28.8258	+	16.1882i	1.23817	+	0.695344i
$543$	6.09257	+	11.1570i	0.261457	+	0.478794i
$544$	−26.4746	+	17.4633i	−1.13509	+	0.748732i
$545$	−12.4512	−	7.18872i	−0.533352	−	0.307931i
$546$	−5.28218	−	26.9100i	−0.226057	−	1.15164i
$547$	4.96025	−	2.86380i	0.212085	−	0.122447i	−0.390195	−	0.920732i	$-0.627592\pi$
$547$	4.96025	−	2.86380i	0.212085	−	0.122447i	0.602280	+	0.798285i	$0.294259\pi$
$548$	10.8030	+	5.89881i	0.461481	+	0.251985i
$549$	−2.64134	−	5.12285i	−0.112730	−	0.218638i
$550$	−0.299660	−	0.505047i	−0.0127776	−	0.0215353i
$551$	−18.8259	+	32.6075i	−0.802012	+	1.38912i
$552$	4.19443	+	7.06880i	0.178527	+	0.300868i
$553$	−14.1198	−	15.8001i	−0.600436	−	0.671889i
$554$	−12.8053	−	21.5821i	−0.544046	−	0.916936i
$555$	10.1572	+	6.19080i	0.431150	+	0.262785i
$556$	−30.4468	+	18.5585i	−1.29123	+	0.787054i
$557$	−33.2344	−	19.1879i	−1.40819	−	0.813016i	−0.412972	−	0.910744i	$-0.635509\pi$
$557$	−33.2344	−	19.1879i	−1.40819	−	0.813016i	−0.995213	+	0.0977275i	$0.968843\pi$
$558$	21.2323	−	11.2693i	0.898835	−	0.477066i
$559$			18.2235i			0.770773i
$560$	−17.4585	+	4.51945i	−0.737754	+	0.190982i
$561$	−0.0457301	+	1.92313i	−0.00193073	+	0.0811947i
$562$	9.90697	+	5.56363i	0.417900	+	0.234688i
$563$	−4.82782	−	8.36204i	−0.203469	−	0.352418i	0.746175	−	0.665750i	$-0.231888\pi$
$563$	−4.82782	−	8.36204i	−0.203469	−	0.352418i	−0.949644	+	0.313332i	$0.898555\pi$
$564$	−5.73718	+	9.93778i	−0.241579	+	0.418456i
$565$	−11.3521	+	19.6624i	−0.477587	+	0.827205i
$566$	22.5574	+	12.6680i	0.948159	+	0.532475i
$567$	2.62823	+	23.6663i	0.110375	+	0.993890i
$568$	−8.80940	+	0.314692i	−0.369634	+	0.0132042i
$569$	30.6624	+	17.7030i	1.28544	+	0.742146i	0.977837	−	0.209370i	$-0.0671412\pi$
$569$	30.6624	+	17.7030i	1.28544	+	0.742146i	0.307599	+	0.951516i	$0.400475\pi$
$570$	−33.6074	−	0.399010i	−1.40766	−	0.0167127i
$571$	35.8663	−	20.7074i	1.50096	−	0.866579i	0.500959	−	0.865471i	$-0.332981\pi$
$571$	35.8663	−	20.7074i	1.50096	−	0.866579i	0.999999	−	0.00110763i	$-0.000352571\pi$
$572$	−0.872569	−	1.43152i	−0.0364839	−	0.0598550i
$573$	2.49722	+	0.0593813i	0.104323	+	0.00248069i
$574$	−9.44766	+	29.9052i	−0.394338	+	1.24822i
$575$	3.51707			0.146672
$576$	−11.5006	+	21.0650i	−0.479192	+	0.877710i
$577$	2.56562	−	4.44379i	0.106808	−	0.184997i	−0.807667	−	0.589639i	$-0.799270\pi$
$577$	2.56562	−	4.44379i	0.106808	−	0.184997i	0.914476	+	0.404641i	$0.132604\pi$
$578$	9.99491	−	17.7976i	0.415733	−	0.740282i
$579$	15.6359	−	25.6539i	0.649808	−	1.06614i
$580$	−15.9319	+	0.379326i	−0.661535	+	0.0157507i
$581$	1.25047	+	5.99316i	0.0518784	+	0.248638i
$582$	−13.1312	−	0.155902i	−0.544305	−	0.00646236i
$583$	−2.00363	−	1.15680i	−0.0829821	−	0.0479097i
$584$	−8.22588	+	15.5006i	−0.340389	+	0.641418i
$585$	19.2270	−	9.91343i	0.794937	−	0.409870i
$586$	0.304574	+	25.5881i	0.0125818	+	1.05704i
$587$	−14.8877	−	25.7863i	−0.614483	−	1.06432i	−0.990475	−	0.137693i	$-0.956031\pi$
$587$	−14.8877	−	25.7863i	−0.614483	−	1.06432i	0.375992	−	0.926623i	$-0.377302\pi$
$588$	−19.5109	−	14.3988i	−0.804615	−	0.593797i
$589$	−22.8104	+	39.5088i	−0.939887	+	1.62793i
$590$	3.76421	+	2.11394i	0.154970	+	0.0870294i
$591$	22.9899	−	12.5542i	0.945678	−	0.516411i
$592$	−7.38688	+	14.3289i	−0.303599	+	0.588913i
$593$	−7.59083	+	4.38257i	−0.311718	+	0.179971i	−0.647695	−	0.761900i	$-0.724267\pi$
$593$	−7.59083	+	4.38257i	−0.311718	+	0.179971i	0.335977	+	0.941870i	$0.390934\pi$
$594$	0.651698	+	1.30167i	0.0267395	+	0.0534082i
$595$	18.8477	−	16.8433i	0.772679	−	0.690507i
$596$	20.7365	+	11.3229i	0.849402	+	0.463803i
$597$	0.156587	−	6.58509i	0.00640868	−	0.269510i
$598$	10.0398	−	0.119503i	0.410558	−	0.00488685i
$599$	−21.6886	−	37.5657i	−0.886171	−	1.53489i	−0.844365	−	0.535768i	$-0.820022\pi$
$599$	−21.6886	−	37.5657i	−0.886171	−	1.53489i	−0.0418062	−	0.999126i	$-0.513311\pi$
$600$	5.24043	+	8.83162i	0.213940	+	0.360549i
$601$	−13.3344	−	23.0959i	−0.543922	−	0.942100i	−0.998674	−	0.0514821i	$-0.983605\pi$
$601$	−13.3344	−	23.0959i	−0.543922	−	0.942100i	0.454752	−	0.890618i	$-0.349728\pi$
$602$	10.8796	+	11.8865i	0.443420	+	0.484458i
$603$	−0.429915	+	9.03470i	−0.0175075	+	0.367921i
$604$	−38.5499	−	21.0496i	−1.56858	−	0.856497i
$605$		−	18.6776i		−	0.759354i
$606$	5.32494	+	3.15923i	0.216311	+	0.128335i
$607$			14.9189i			0.605541i	0.953064	+	0.302770i	$0.0979115\pi$
$607$			14.9189i			0.605541i	−0.953064	+	0.302770i	$0.902088\pi$
$608$	−2.70914	−	45.4688i	−0.109870	−	1.84400i
$609$	−13.8948	−	16.3128i	−0.563046	−	0.661027i
$610$	0.0551062	+	4.62963i	0.00223119	+	0.187448i
$611$	7.00856	+	12.1392i	0.283536	+	0.491098i
$612$	0.798666	−	33.6299i	0.0322842	−	1.35941i
$613$	0.462438	−	0.800966i	0.0186777	−	0.0323507i	−0.856535	−	0.516088i	$-0.827388\pi$
$613$	0.462438	−	0.800966i	0.0186777	−	0.0323507i	0.875213	+	0.483737i	$0.160721\pi$
$614$	−2.17635	+	1.29129i	−0.0878303	+	0.0521124i
$615$	−24.7321	−	0.588104i	−0.997294	−	0.0237146i
$616$	−1.42378	−	0.412796i	−0.0573656	−	0.0166320i
$617$	29.0469	+	16.7702i	1.16938	+	0.675144i	0.953535	−	0.301283i	$-0.0974148\pi$
$617$	29.0469	+	16.7702i	1.16938	+	0.675144i	0.215849	+	0.976427i	$0.430748\pi$
$618$	−14.0718	−	8.34864i	−0.566050	−	0.335832i
$619$		−	14.5268i		−	0.583882i	−0.956436	−	0.291941i	$-0.905699\pi$
$619$		−	14.5268i		−	0.583882i	0.956436	−	0.291941i	$-0.0943011\pi$
$620$	−19.3038	+	0.459611i	−0.775261	+	0.0184584i
$621$	−8.69599	−	0.621283i	−0.348958	−	0.0249312i
$622$	17.2407	−	30.6998i	0.691288	−	1.23095i
$623$	−43.5988	+	9.09688i	−1.74675	+	0.364459i
$624$	15.2594	+	25.0326i	0.610865	+	1.00211i
$625$	−10.1247			−0.404989
$626$	0.427727	−	0.00509122i	0.0170954	−	0.000203486i
$627$	−2.35911	−	1.43787i	−0.0942136	−	0.0574229i
$628$	25.3017	−	0.602415i	1.00965	−	0.0240390i
$629$		−	22.5957i		−	0.900948i
$630$	6.62259	−	17.9448i	0.263850	−	0.714939i
$631$			17.0535i			0.678887i	0.940626	+	0.339444i	$0.110239\pi$
$631$			17.0535i			0.678887i	−0.940626	+	0.339444i	$0.889761\pi$
$632$	20.0099	+	10.6189i	0.795951	+	0.422398i
$633$	−0.0129705	+	0.545460i	−0.000515530	+	0.0216801i
$634$	−0.134131	−	11.2687i	−0.00532701	−	0.447537i
$635$	9.86485			0.391475
$636$	35.0382	+	20.2279i	1.38936	+	0.802089i
$637$	−27.1493	+	11.8451i	−1.07569	+	0.469318i
$638$	−1.14220	−	0.641446i	−0.0452201	−	0.0253951i
$639$	5.05445	−	7.86576i	0.199951	−	0.311165i
$640$	15.8361	−	10.9956i	0.625975	−	0.434638i
$641$		−	39.4454i		−	1.55800i	−0.627023	−	0.779001i	$-0.715727\pi$
$641$		−	39.4454i		−	1.55800i	0.627023	−	0.779001i	$-0.284273\pi$
$642$	35.9317	+	0.426606i	1.41811	+	0.0168368i
$643$	−7.98149	−	4.60811i	−0.314759	−	0.181726i	0.334295	−	0.942468i	$-0.391502\pi$
$643$	−7.98149	−	4.60811i	−0.314759	−	0.181726i	−0.649054	+	0.760742i	$0.724835\pi$
$644$	6.47723	−	6.07181i	0.255239	−	0.239263i
$645$	−6.61534	+	10.8538i	−0.260479	+	0.427367i
$646$	32.5778	+	54.9066i	1.28176	+	2.16027i
$647$	−7.60702	+	13.1757i	−0.299063	+	0.517992i	−0.975922	−	0.218121i	$-0.930007\pi$
$647$	−7.60702	+	13.1757i	−0.299063	+	0.517992i	0.676859	+	0.736113i	$0.263341\pi$
$648$	−11.3970	−	22.7620i	−0.447715	−	0.894176i
$649$	0.177439	+	0.307333i	0.00696507	+	0.0120639i
$650$	12.5435	−	0.149305i	0.491998	−	0.00585622i
$651$	−16.8356	−	19.7654i	−0.659841	−	0.774666i
$652$	−0.917779	−	38.5471i	−0.0359430	−	1.50962i
$653$			14.5114i			0.567876i	0.958843	+	0.283938i	$0.0916409\pi$
$653$			14.5114i			0.567876i	−0.958843	+	0.283938i	$0.908359\pi$
$654$	10.1202	+	18.0195i	0.395733	+	0.704618i
$655$			4.83712i			0.189002i
$656$	−1.59563	−	33.4895i	−0.0622987	−	1.30755i
$657$	−8.52957	−	16.5430i	−0.332770	−	0.645404i
$658$	11.8186	+	3.73374i	0.460738	+	0.145556i
$659$	−2.48426	−	4.30286i	−0.0967728	−	0.167615i	0.813574	−	0.581461i	$-0.197519\pi$
$659$	−2.48426	−	4.30286i	−0.0967728	−	0.167615i	−0.910347	+	0.413846i	$0.864185\pi$
$660$	−3.53852e−5	−	1.16936i	−1.37737e−6	−	0.0455171i
$661$	18.7226	+	32.4285i	0.728225	+	1.26132i	0.957633	+	0.287992i	$0.0929876\pi$
$661$	18.7226	+	32.4285i	0.728225	+	1.26132i	−0.229408	+	0.973330i	$0.573679\pi$
$662$	0.126384	+	10.6179i	0.00491205	+	0.412675i
$663$	−35.0880	−	21.3861i	−1.36271	−	0.830566i
$664$	−3.47273	−	5.54764i	−0.134768	−	0.215290i
$665$	7.41487	+	35.5374i	0.287536	+	1.37808i
$666$	−8.01622	−	15.1033i	−0.310622	−	0.585239i
$667$	6.79441	−	3.92276i	0.263081	−	0.151890i
$668$	−5.19006	−	8.51473i	−0.200809	−	0.329445i
$669$	−0.696403	−	0.424456i	−0.0269245	−	0.0164104i
$670$	3.55772	−	6.33511i	0.137447	−	0.244747i
$671$	−0.190294	+	0.329599i	−0.00734621	+	0.0127240i
$672$	24.8979	+	7.21782i	0.960456	+	0.278433i
$673$	−5.13779	−	8.89891i	−0.198047	−	0.343028i	0.749848	−	0.661610i	$-0.230127\pi$
$673$	−5.13779	−	8.89891i	−0.198047	−	0.343028i	−0.947895	+	0.318582i	$0.896793\pi$
$674$	−33.8614	+	0.403051i	−1.30429	+	0.0155249i
$675$	−10.8646	−	0.776219i	−0.418179	−	0.0298767i
$676$	9.80899	−	0.233545i	0.377269	−	0.00898249i
$677$	0.171401	+	0.0989581i	0.00658746	+	0.00380327i	0.503290	−	0.864118i	$-0.332123\pi$
$677$	0.171401	+	0.0989581i	0.00658746	+	0.00380327i	−0.496703	+	0.867921i	$0.665456\pi$
$678$	28.4556	−	15.9814i	1.09283	−	0.613764i
$679$	2.89716	+	13.8853i	0.111183	+	0.532867i
$680$	−12.6671	+	23.8695i	−0.485762	+	0.915352i
$681$	−8.07436	−	14.7862i	−0.309410	−	0.566608i
$682$	−1.38395	−	0.777207i	−0.0529940	−	0.0297608i
$683$	−5.70956	+	9.88925i	−0.218470	+	0.378402i	−0.954341	−	0.298721i	$-0.903440\pi$
$683$	−5.70956	+	9.88925i	−0.218470	+	0.378402i	0.735870	+	0.677123i	$0.236773\pi$
$684$	41.2545	+	25.1428i	1.57741	+	0.961359i
$685$	10.4872			0.400694
$686$	−10.6368	+	23.9345i	−0.406115	+	0.913822i
$687$	16.8699	+	30.8930i	0.643626	+	1.17864i
$688$	−15.3115	−	7.89344i	−0.583746	−	0.300935i
$689$	42.7998	−	24.7105i	1.63054	−	0.941394i
$690$	6.02300	+	3.57338i	0.229292	+	0.136036i
$691$	−26.8936	−	15.5270i	−1.02308	−	0.590676i	−0.108086	−	0.994142i	$-0.534472\pi$
$691$	−26.8936	−	15.5270i	−1.02308	−	0.590676i	−0.914995	+	0.403466i	$0.867805\pi$
$692$	11.9793	−	7.30182i	0.455383	−	0.277574i
$693$	1.22087	−	0.990809i	0.0463771	−	0.0376377i
$694$	−11.2967	+	20.1156i	−0.428816	+	0.763578i
$695$	−15.1903	+	26.3104i	−0.576201	+	0.998009i
$696$	19.9740	+	11.2164i	0.757113	+	0.425156i
$697$	23.4967	+	40.6975i	0.890002	+	1.54153i
$698$	9.88683	−	17.6051i	0.374222	−	0.666364i
$699$	−6.84499	−	4.17200i	−0.258901	−	0.157800i
$700$	8.09252	−	7.58600i	0.305869	−	0.286724i
$701$			24.4355i			0.922916i	0.887162	+	0.461458i	$0.152674\pi$
$701$			24.4355i			0.922916i	−0.887162	+	0.461458i	$0.847326\pi$
$702$	−31.0404	−	1.84663i	−1.17155	−	0.0696966i
$703$	28.1040	+	16.2258i	1.05996	+	0.611969i
$704$	1.58072	−	0.113079i	0.0595758	−	0.00426181i
$705$	−0.232420	+	9.77418i	−0.00875345	+	0.368117i
$706$	−9.04038	+	5.36393i	−0.340239	+	0.201874i
$707$	2.09038	−	6.35258i	0.0786169	−	0.238913i
$708$	−3.10304	−	5.37424i	−0.116619	−	0.201976i
$709$	−2.12139	+	3.67436i	−0.0796706	+	0.137994i	−0.903108	−	0.429414i	$-0.858720\pi$
$709$	−2.12139	+	3.67436i	−0.0796706	+	0.137994i	0.823437	+	0.567407i	$0.192054\pi$
$710$	−6.45922	+	3.83245i	−0.242410	+	0.143829i
$711$	−21.3556	+	11.0109i	−0.800897	+	0.412943i
$712$	40.3577	−	25.2633i	1.51247	−	0.946781i
$713$	8.23245	−	4.75300i	0.308307	−	0.178001i
$714$	−35.6543	+	6.99861i	−1.33433	+	0.261917i
$715$	−1.23704	−	0.714207i	−0.0462628	−	0.0267098i
$716$	0.175542	+	0.287992i	0.00656031	+	0.0107628i
$717$	−15.3876	−	0.365902i	−0.574661	−	0.0136649i
$718$	−5.86282	+	10.4397i	−0.218798	+	0.389607i
$719$	−6.09920	−	10.5641i	−0.227462	−	0.393976i	0.729593	−	0.683881i	$-0.239709\pi$
$719$	−6.09920	−	10.5641i	−0.227462	−	0.393976i	−0.957055	+	0.289906i	$0.906376\pi$
$720$	0.00123756	+	20.4486i	4.61213e−5	+	0.762073i
$721$	−5.52408	+	16.7874i	−0.205728	+	0.625197i
$722$	−64.8173	+	0.771517i	−2.41225	+	0.0287129i
$723$	−9.50791	−	17.4114i	−0.353603	−	0.647536i
$724$	−7.03470	+	12.8832i	−0.261443	+	0.478802i
$725$	8.48881	−	4.90101i	0.315266	−	0.182019i
$726$	−13.6992	+	23.0903i	−0.508426	+	0.856960i
$727$	−25.0743	+	14.4766i	−0.929953	+	0.536909i	−0.886797	−	0.462159i	$-0.847075\pi$
$727$	−25.0743	+	14.4766i	−0.929953	+	0.536909i	−0.0431565	+	0.999068i	$0.513741\pi$
$728$	22.8431	−	21.9299i	0.846622	−	0.812777i
$729$	26.7258	+	3.83842i	0.989843	+	0.142164i
$730$	0.177952	+	14.9503i	0.00658630	+	0.553334i
$731$	24.1452			0.893043
$732$	3.32750	−	5.76380i	0.122988	−	0.213036i
$733$	−16.3602			−0.604278			−0.302139	−	0.953264i	$-0.597701\pi$
$733$	−16.3602			−0.604278			−0.302139	+	0.953264i	$0.597701\pi$
$734$	−44.4164	+	26.3536i	−1.63944	+	0.972730i
$735$	−20.4698	−	2.80067i	−0.755039	−	0.103304i
$736$	−4.24829	+	8.48726i	−0.156594	+	0.312844i
$737$	0.517236	−	0.298626i	0.0190526	−	0.0110000i
$738$	30.1437	+	18.8669i	1.10961	+	0.694501i
$739$	42.0540	+	24.2799i	1.54698	+	0.893150i	0.998370	+	0.0570721i	$0.0181765\pi$
$739$	42.0540	+	24.2799i	1.54698	+	0.893150i	0.548611	+	0.836078i	$0.315157\pi$
$740$	0.326937	+	13.7315i	0.0120184	+	0.504779i
$741$	51.7960	−	28.2845i	1.90277	−	1.03906i
$742$	13.1643	−	41.6696i	0.483275	−	1.52974i
$743$	−24.1482	+	41.8258i	−0.885910	+	1.53444i	−0.0412435	+	0.999149i	$0.513132\pi$
$743$	−24.1482	+	41.8258i	−0.885910	+	1.53444i	−0.844667	+	0.535292i	$0.820201\pi$
$744$	24.2015	+	13.5903i	0.887271	+	0.498245i
$745$	20.1303			0.737518
$746$	10.2019	+	17.1943i	0.373519	+	0.629530i
$747$	6.93411	+	0.329959i	0.253706	+	0.0120726i
$748$	−1.89669	+	1.15611i	−0.0693500	+	0.0422715i
$749$	−7.92769	−	37.9951i	−0.289671	−	1.38831i
$750$	25.4740	+	15.1135i	0.930179	+	0.551866i
$751$			31.2997i			1.14214i	0.820901	+	0.571070i	$0.193472\pi$
$751$			31.2997i			1.14214i	−0.820901	+	0.571070i	$0.806528\pi$
$752$	−13.2351	+	0.630595i	−0.482636	+	0.0229954i
$753$	24.0334	+	44.0112i	0.875824	+	1.60386i
$754$	24.0656	−	14.2788i	0.876417	−	0.520005i
$755$	−37.4230			−1.36196
$756$	−21.3489	+	17.3270i	−0.776453	+	0.630175i
$757$	25.6135			0.930937			0.465469	−	0.885064i	$-0.345886\pi$
$757$	25.6135			0.930937			0.465469	+	0.885064i	$0.345886\pi$
$758$	−35.4560	+	21.0371i	−1.28782	+	0.764102i
$759$	0.275905	+	0.505252i	0.0100147	+	0.0183395i
$760$	−20.5921	−	32.8956i	−0.746953	−	1.19325i
$761$			19.4887i			0.706465i	0.935536	+	0.353232i	$0.114917\pi$
$761$			19.4887i			0.706465i	−0.935536	+	0.353232i	$0.885083\pi$
$762$	−12.1954	−	7.23543i	−0.441794	−	0.262112i
$763$	16.6448	−	14.8747i	0.602584	−	0.538501i
$764$	1.50123	+	2.46289i	0.0543124	+	0.0891042i
$765$	−13.1348	−	25.4747i	−0.474888	−	0.921040i
$766$	−15.1636	−	25.5567i	−0.547883	−	0.923402i
$767$	−7.58056			−0.273718
$768$	−27.6421	+	1.97825i	−0.997449	+	0.0713838i
$769$	−13.8688	+	24.0215i	−0.500122	+	0.866236i	0.499878	+	0.866096i	$0.333378\pi$
$769$	−13.8688	+	24.0215i	−0.500122	+	0.866236i	−1.00000		0.000140472i	$0.999955\pi$
$770$	−1.23326	+	0.272677i	−0.0444437	+	0.00982660i
$771$	−22.2861	+	12.1699i	−0.802616	+	0.438288i
$772$	34.6812	−	0.825735i	1.24821	−	0.0297189i
$773$	10.8553	+	6.26730i	0.390437	+	0.225419i	0.682349	−	0.731026i	$-0.260958\pi$
$773$	10.8553	+	6.26730i	0.390437	+	0.225419i	−0.291912	+	0.956445i	$0.594292\pi$
$774$	16.1390	−	8.56594i	0.580104	−	0.307896i
$775$	10.2855	−	5.93831i	0.369465	−	0.213310i
$776$	−8.04580	−	12.8531i	−0.288827	−	0.461398i
$777$	−14.0598	+	11.9758i	−0.504392	+	0.429628i
$778$	38.9780	−	23.1269i	1.39743	−	0.829138i
$779$	−67.4915			−2.41813
$780$	21.6326	+	12.4887i	0.774571	+	0.447167i
$781$	−0.617380			−0.0220916
$782$	−0.158335	−	13.3022i	−0.00566206	−	0.475686i
$783$	−21.8544	+	10.6183i	−0.781014	+	0.379467i
$784$	1.80731	−	27.9416i	0.0645467	−	0.997915i
$785$	18.6747	−	10.7819i	0.666530	−	0.384822i
$786$	3.54781	−	5.97990i	0.126546	−	0.213296i
$787$	−9.45168	+	5.45693i	−0.336916	+	0.194518i	−0.658907	−	0.752224i	$-0.728981\pi$
$787$	−9.45168	+	5.45693i	−0.336916	+	0.194518i	0.321991	+	0.946743i	$0.395648\pi$
$788$	26.5469	+	14.4955i	0.945694	+	0.516382i
$789$	9.53300	+	17.4573i	0.339384	+	0.621497i
$790$	19.2995	−	0.229721i	0.686646	−	0.00817311i
$791$	−23.4895	−	26.2848i	−0.835191	−	0.934580i
$792$	−0.857627	+	1.44564i	−0.0304744	+	0.0513687i
$793$	−4.06488	−	7.04058i	−0.144348	−	0.250018i
$794$	−5.68716	+	10.1269i	−0.201830	+	0.359391i
$795$	34.4614	+	0.819457i	1.22222	+	0.0290631i
$796$	6.49457	−	3.95869i	0.230194	−	0.140312i
$797$	1.98714	+	1.14728i	0.0703883	+	0.0406387i	0.534781	−	0.844991i	$-0.320394\pi$
$797$	1.98714	+	1.14728i	0.0703883	+	0.0406387i	−0.464393	+	0.885629i	$0.653727\pi$
$798$	16.8984	−	49.3716i	0.598198	−	1.74774i
$799$	16.0838	−	9.28597i	0.569003	−	0.328514i
$800$	−5.30773	+	10.6038i	−0.187657	+	0.374901i
$801$	−2.40037	+	50.4439i	−0.0848129	+	1.78235i
$802$	−36.7130	+	21.7830i	−1.29638	+	0.769184i
$803$	−0.614508	+	1.06436i	−0.0216855	+	0.0375604i
$804$	−9.04476	+	5.22236i	−0.318984	+	0.184178i
$805$	2.36442	−	7.18536i	0.0833348	−	0.253251i
$806$	29.1590	−	17.3010i	1.02708	−	0.609400i
$807$	−0.201789	+	8.48600i	−0.00710330	+	0.298721i
$808$	0.255231	+	7.14487i	0.00897901	+	0.251356i
$809$	20.5417	+	11.8598i	0.722208	+	0.416967i	0.815565	−	0.578666i	$-0.196426\pi$
$809$	20.5417	+	11.8598i	0.722208	+	0.416967i	−0.0933568	+	0.995633i	$0.529760\pi$
$810$	−17.8171	−	12.3679i	−0.626028	−	0.434562i
$811$		−	15.3153i		−	0.537794i	−0.963169	−	0.268897i	$-0.913341\pi$
$811$		−	15.3153i		−	0.537794i	0.963169	−	0.268897i	$-0.0866591\pi$
$812$	7.17243	−	23.6809i	0.251703	−	0.831038i
$813$	−34.5746	−	21.0731i	−1.21258	−	0.739067i
$814$	−0.552854	+	0.984448i	−0.0193775	+	0.0345049i
$815$	−16.4262	−	28.4510i	−0.575384	−	0.996594i
$816$	33.1669	−	20.2179i	1.16107	−	0.707768i
$817$	−17.3385	+	30.0312i	−0.606599	+	1.05066i
$818$	−15.6345	+	27.8399i	−0.546649	+	0.973398i
$819$	5.28963	+	33.1676i	0.184834	+	1.15897i
$820$	−14.8679	−	24.3921i	−0.519210	−	0.851809i
$821$	−8.93891	−	5.16088i	−0.311970	−	0.180116i	0.335838	−	0.941920i	$-0.390981\pi$
$821$	−8.93891	−	5.16088i	−0.311970	−	0.180116i	−0.647808	+	0.761804i	$0.724314\pi$
$822$	−12.9648	−	7.69187i	−0.452199	−	0.268285i
$823$	2.79983	−	1.61648i	0.0975960	−	0.0563471i	−0.450408	−	0.892823i	$-0.648721\pi$
$823$	2.79983	−	1.61648i	0.0975960	−	0.0563471i	0.548004	+	0.836476i	$0.315388\pi$
$824$	−0.674479	−	18.8812i	−0.0234966	−	0.657756i
$825$	0.344710	+	0.631252i	0.0120013	+	0.0219774i
$826$	−4.94451	+	4.52567i	−0.172041	+	0.157468i
$827$	27.3708			0.951778			0.475889	−	0.879505i	$-0.342126\pi$
$827$	27.3708			0.951778			0.475889	+	0.879505i	$0.342126\pi$
$828$	−4.82503	−	8.83520i	−0.167681	−	0.307045i
$829$	−24.6538	+	42.7016i	−0.856260	+	1.48309i	0.0192108	+	0.999815i	$0.493885\pi$
$829$	−24.6538	+	42.7016i	−0.856260	+	1.48309i	−0.875471	+	0.483271i	$0.839449\pi$
$830$	−4.86218	−	2.73054i	−0.168769	−	0.0947785i
$831$	14.7304	+	26.9752i	0.510993	+	0.935758i
$832$	−14.7911	+	30.4499i	−0.512790	+	1.05566i
$833$	15.6941	+	35.9713i	0.543768	+	1.24633i
$834$	38.0765	−	21.3848i	1.31848	−	0.740496i
$835$	−7.35795	−	4.24812i	−0.254632	−	0.147012i
$836$	−0.0759339	−	3.18926i	−0.00262623	−	0.110303i
$837$	−26.4799	+	12.8657i	−0.915280	+	0.444702i
$838$	21.2473	−	0.252905i	0.733975	−	0.00873647i
$839$	−8.92782	−	15.4634i	−0.308223	−	0.533857i	0.669751	−	0.742586i	$-0.266401\pi$
$839$	−8.92782	−	15.4634i	−0.308223	−	0.533857i	−0.977974	+	0.208728i	$0.933068\pi$
$840$	21.5660	−	4.76897i	0.744097	−	0.164545i
$841$	−3.56732	+	6.17878i	−0.123011	+	0.213061i
$842$	−18.1507	+	32.3203i	−0.625514	+	1.11383i
$843$	−11.8827	−	7.24249i	−0.409263	−	0.249445i
$844$	−0.537961	+	0.327908i	−0.0185174	+	0.0112871i
$845$	7.23985	−	4.17993i	0.249058	−	0.143794i
$846$	7.45625	−	11.9129i	0.256351	−	0.409573i
$847$	27.5464	+	9.06443i	0.946505	+	0.311457i
$848$	2.22333	+	46.6639i	0.0763493	+	1.60244i
$849$	−27.0561	−	16.4906i	−0.928563	−	0.565956i
$850$	−0.197821	−	16.6195i	−0.00678521	−	0.570045i
$851$	−3.38097	−	5.85602i	−0.115898	−	0.200742i
$852$	10.7962		0.000326696i	0.369870		1.11924e-5i
$853$	16.5529	+	28.6705i	0.566762	+	0.981660i	0.996883	+	0.0788893i	$0.0251374\pi$
$853$	16.5529	+	28.6705i	0.566762	+	0.981660i	−0.430122	+	0.902771i	$0.641529\pi$
$854$	−6.85467	−	2.16553i	−0.234562	−	0.0741028i
$855$	41.1168	+	1.95654i	1.40617	+	0.0669123i
$856$	22.0162	+	35.1707i	0.752500	+	1.20211i
$857$			13.2841i			0.453775i	0.973921	+	0.226887i	$0.0728549\pi$
$857$			13.2841i			0.453775i	−0.973921	+	0.226887i	$0.927145\pi$
$858$	1.00546	+	1.79026i	0.0343257	+	0.0611183i
$859$			3.53403i			0.120580i	0.998181	+	0.0602898i	$0.0192025\pi$
$859$			3.53403i			0.120580i	−0.998181	+	0.0602898i	$0.980798\pi$
$860$	−14.6731	+	0.349357i	−0.500350	+	0.0119130i
$861$	12.8700	−	36.1902i	0.438610	−	1.23336i
$862$	−49.9416	+	0.594452i	−1.70102	+	0.0202471i
$863$	10.9861	+	19.0284i	0.373970	+	0.647735i	0.990172	−	0.139853i	$-0.0446629\pi$
$863$	10.9861	+	19.0284i	0.373970	+	0.647735i	−0.616202	+	0.787588i	$0.711330\pi$
$864$	14.9966	−	25.2805i	0.510194	−	0.860059i
$865$	5.97662	−	10.3518i	0.203211	−	0.351972i
$866$	−1.30063	−	2.19207i	−0.0441970	−	0.0744897i
$867$	−13.0109	+	21.3470i	−0.441874	+	0.724982i
$868$	8.69048	−	28.6930i	0.294974	−	0.973903i
$869$	1.37400	+	0.793277i	0.0466096	+	0.0269101i
$870$	19.5166	+	0.231715i	0.661676	+	0.00785587i
$871$			12.7580i			0.432287i
$872$	−11.1866	+	21.0797i	−0.378828	+	0.713849i
$873$	16.0653	+	0.764465i	0.543728	+	0.0258732i
$874$	16.6587	+	9.35530i	0.563488	+	0.316448i
$875$	10.0002	−	30.3902i	0.338068	−	1.02737i
$876$	10.7454	−	18.6128i	0.363052	−	0.628868i
$877$	39.7307			1.34161			0.670805	−	0.741634i	$-0.265949\pi$
$877$	39.7307			1.34161			0.670805	+	0.741634i	$0.265949\pi$
$878$	−0.304967	−	25.6211i	−0.0102921	−	0.864671i
$879$	0.745050	−	31.3323i	0.0251299	−	1.05681i
$880$	1.13590	−	0.730015i	0.0382912	−	0.0246088i
$881$		−	47.3898i		−	1.59660i	−0.602259	−	0.798301i	$-0.705732\pi$
$881$		−	47.3898i		−	1.59660i	0.602259	−	0.798301i	$-0.294268\pi$
$882$	23.2516	+	18.4760i	0.782923	+	0.622119i
$883$		−	4.33704i		−	0.145953i	−0.997334	−	0.0729765i	$-0.976750\pi$
$883$		−	4.33704i		−	0.145953i	0.997334	−	0.0729765i	$-0.0232498\pi$
$884$	−1.12940	−	47.4353i	−0.0379858	−	1.59542i
$885$	−4.51492	−	2.75183i	−0.151767	−	0.0925017i
$886$	−37.3007	+	0.443988i	−1.25314	+	0.0149161i
$887$	58.7429			1.97239			0.986197	−	0.165579i	$-0.0529492\pi$
$887$	58.7429			1.97239			0.986197	+	0.165579i	$0.0529492\pi$
$888$	9.66725	−	17.2154i	0.324412	−	0.577710i
$889$	−4.78750	+	14.5490i	−0.160567	+	0.487958i
$890$	19.8640	−	35.3712i	0.665844	−	1.18564i
$891$	−0.740791	−	1.62167i	−0.0248174	−	0.0543280i
$892$	−0.0224155	−	0.941462i	−0.000750527	−	0.0315225i
$893$			26.6728i			0.892571i
$894$	−24.8862	−	14.7647i	−0.832318	−	0.493805i
$895$	0.248866	+	0.143683i	0.00831868	+	0.00480279i
$896$	8.53124	+	28.6918i	0.285009	+	0.958525i
$897$	−12.2936	−	0.292329i	−0.410471	−	0.00976058i
$898$	33.4171	−	19.8274i	1.11514	−	0.661650i
$899$	13.2466	−	22.9437i	0.441798	−	0.765217i
$900$	−6.02829	−	11.0385i	−0.200943	−	0.367951i
$901$	−32.7401	−	56.7075i	−1.09073	−	1.88920i
$902$	−0.0279482	−	2.34801i	−0.000930575	−	0.0781802i
$903$	−12.7970	−	15.0240i	−0.425858	−	0.499966i
$904$	33.2881	+	17.6655i	1.10715	+	0.587544i
$905$			12.5066i			0.415734i
$906$	46.2642	+	27.4481i	1.53703	+	0.911902i
$907$		−	22.5888i		−	0.750050i	−0.927015	−	0.375025i	$-0.877634\pi$
$907$		−	22.5888i		−	0.750050i	0.927015	−	0.375025i	$-0.122366\pi$
$908$	9.32295	−	17.0739i	0.309393	−	0.566617i
$909$	−6.37953	−	4.09941i	−0.211596	−	0.135969i
$910$	8.12761	−	25.7268i	0.269428	−	0.852835i
$911$	−2.20747	−	3.82345i	−0.0731367	−	0.126676i	0.827138	−	0.561999i	$-0.189968\pi$
$911$	−2.20747	−	3.82345i	−0.0731367	−	0.126676i	−0.900274	+	0.435323i	$0.856634\pi$
$912$	1.32955	+	55.7706i	0.0440257	+	1.84675i
$913$	−0.229195	−	0.396977i	−0.00758525	−	0.0131380i
$914$	−27.7935	+	0.330824i	−0.919326	+	0.0109427i
$915$	0.134801	−	5.66891i	0.00445638	−	0.187408i
$916$	−19.4786	+	35.6728i	−0.643590	+	1.17866i
$917$	−7.13394	−	2.34750i	−0.235583	−	0.0775212i
$918$	−2.44669	+	41.1269i	−0.0807528	+	1.35739i
$919$	−3.80765	+	2.19835i	−0.125603	+	0.0725167i	−0.561485	−	0.827487i	$-0.689770\pi$
$919$	−3.80765	+	2.19835i	−0.125603	+	0.0725167i	0.435882	+	0.900004i	$0.356436\pi$
$920$	0.288690	+	8.08151i	0.00951784	+	0.266439i
$921$	2.72019	−	1.48542i	0.0896332	−	0.0489464i
$922$	−38.3352	−	21.5286i	−1.26250	−	0.709006i
$923$	6.59396	−	11.4211i	0.217043	−	0.375929i
$924$	1.72462	+	0.567446i	0.0567359	+	0.0186676i
$925$	−4.22412	−	7.31639i	−0.138888	−	0.240562i
$926$	0.200534	+	16.8475i	0.00658997	+	0.553642i
$927$	16.8587	+	10.8332i	0.553711	+	0.355809i
$928$	1.57326	+	26.4049i	0.0516448	+	0.866782i
$929$	−39.1499	−	22.6032i	−1.28447	−	0.741587i	−0.306805	−	0.951773i	$-0.599260\pi$
$929$	−39.1499	−	22.6032i	−1.28447	−	0.741587i	−0.977661	+	0.210186i	$0.932593\pi$
$930$	23.6473	+	0.280757i	0.775426	+	0.00920639i
$931$	−56.0101	−	6.31090i	−1.83566	−	0.206832i
$932$	−0.220324	−	9.25369i	−0.00721694	−	0.303115i
$933$	−22.4431	+	36.8224i	−0.734755	+	1.20551i
$934$	7.93629	−	14.1319i	0.259683	−	0.462409i
$935$	−0.946286	+	1.63902i	−0.0309469	+	0.0536016i
$936$	−17.5834	−	31.3057i	−0.574732	−	1.02326i
$937$	−11.9134			−0.389194			−0.194597	−	0.980883i	$-0.562340\pi$
$937$	−11.9134			−0.389194			−0.194597	+	0.980883i	$0.562340\pi$
$938$	7.61663	+	8.32153i	0.248692	+	0.271708i
$939$	−0.523746	−	0.0124541i	−0.0170918	−	0.000406426i
$940$	−9.63981	+	5.87583i	−0.314416	+	0.191649i
$941$	−31.6850	+	18.2933i	−1.03290	+	0.596345i	−0.917814	−	0.397010i	$-0.870048\pi$
$941$	−31.6850	+	18.2933i	−1.03290	+	0.596345i	−0.115086	+	0.993356i	$0.536714\pi$
$942$	−30.9947	−	0.367990i	−1.00986	−	0.0119898i
$943$	12.1791	+	7.03160i	0.396606	+	0.228980i
$944$	3.28349	−	6.36923i	0.106868	−	0.207301i
$945$	−8.88976	+	21.6745i	−0.289184	+	0.705073i
$946$	−1.05196	−	0.590767i	−0.0342021	−	0.0192075i
$947$	14.5535	−	25.2074i	0.472925	−	0.819131i	−0.526594	−	0.850117i	$-0.676531\pi$
$947$	14.5535	−	25.2074i	0.472925	−	0.819131i	0.999520	+	0.0309858i	$0.00986468\pi$
$948$	−24.0275	−	13.8713i	−0.780378	−	0.450520i
$949$	−13.1266	−	22.7359i	−0.426106	−	0.738037i
$950$	20.8130	+	11.6883i	0.675263	+	0.379220i
$951$	−0.328111	+	13.7983i	−0.0106397	+	0.447442i
$952$	−29.0560	−	30.2659i	−0.941710	−	0.980924i
$953$		−	20.8039i		−	0.673906i	−0.941521	−	0.336953i	$-0.890604\pi$
$953$		−	20.8039i		−	0.673906i	0.941521	−	0.336953i	$-0.109396\pi$
$954$	−42.0019	−	26.2889i	−1.35986	−	0.851136i
$955$	2.12829	+	1.22877i	0.0688698	+	0.0397620i
$956$	−9.25041	−	15.1761i	−0.299180	−	0.490830i
$957$	1.36999	+	0.835005i	0.0442855	+	0.0269919i
$958$	−6.18653	−	10.4268i	−0.199878	−	0.336874i
$959$	−5.08952	+	15.4668i	−0.164349	+	0.499450i
$960$	−19.8631	+	12.7664i	−0.641080	+	0.412033i
$961$	0.550212	−	0.952995i	0.0177488	−	0.0307418i
$962$	−12.3068	−	20.7418i	−0.396786	−	0.668743i
$963$	−43.9605	−	2.09186i	−1.41661	−	0.0674091i
$964$	10.9782	−	20.1053i	0.353583	−	0.647547i
$965$	25.5976	−	14.7788i	0.824017	−	0.475747i
$966$	−8.19316	+	7.14872i	−0.263610	+	0.230006i
$967$	31.9201	+	18.4291i	1.02648	+	0.592640i	0.915975	−	0.401235i	$-0.131419\pi$
$967$	31.9201	+	18.4291i	1.02648	+	0.592640i	0.110507	+	0.993875i	$0.464752\pi$
$968$	−30.9819	+	1.10675i	−0.995797	+	0.0355722i
$969$	−37.4754	−	68.6270i	−1.20388	−	2.20462i
$970$	−11.2650	−	6.32626i	−0.361696	−	0.203124i
$971$	−4.17527	−	7.23179i	−0.133991	−	0.232079i	0.791221	−	0.611531i	$-0.209446\pi$
$971$	−4.17527	−	7.23179i	−0.133991	−	0.232079i	−0.925212	+	0.379452i	$0.876113\pi$
$972$	12.9551	+	28.3578i	0.415535	+	0.909577i
$973$	−31.4314	−	35.1718i	−1.00764	−	1.12756i
$974$	−0.119279	−	10.0209i	−0.00382194	−	0.321092i
$975$	−15.3594	−	0.365230i	−0.491893	−	0.0116967i
$976$	7.67623	−	0.365738i	0.245710	−	0.0117070i
$977$	49.5714	−	28.6201i	1.58593	−	0.915637i	0.591961	−	0.805967i	$-0.298354\pi$
$977$	49.5714	−	28.6201i	1.58593	−	0.915637i	0.993968	−	0.109670i	$-0.0349794\pi$
$978$	−0.560633	+	47.2204i	−0.0179271	+	1.50994i
$979$	2.88791	−	1.66734i	0.0922981	−	0.0532883i
$980$	−10.0578	−	21.6329i	−0.321285	−	0.691036i
$981$	−11.5996	−	22.4973i	−0.370348	−	0.718285i
$982$	−39.5433	+	0.470682i	−1.26188	+	0.0150201i
$983$	−33.3569			−1.06392			−0.531960	−	0.846769i	$-0.678544\pi$
$983$	−33.3569			−1.06392			−0.531960	+	0.846769i	$0.678544\pi$
$984$	0.489974	+	41.0597i	0.0156198	+	1.30894i
$985$	25.7708			0.821127
$986$	−18.9187	−	31.8856i	−0.602495	−	1.01544i
$987$	−14.3025	−	5.08627i	−0.455253	−	0.161898i
$988$	59.8099	+	32.6583i	1.90281	+	1.03900i
$989$	6.25760	−	3.61283i	0.198980	−	0.114881i
$990$	−0.0510410	+	1.43125i	−0.00162219	+	0.0454882i
$991$	−35.2014	−	20.3235i	−1.11821	−	0.645598i	−0.177266	−	0.984163i	$-0.556725\pi$
$991$	−35.2014	−	20.3235i	−1.11821	−	0.645598i	−0.940943	+	0.338565i	$0.890059\pi$
$992$	1.90624	+	31.9934i	0.0605232	+	1.01579i
$993$	0.309161	−	13.0014i	0.00981093	−	0.412588i
$994$	−2.51751	−	11.3862i	−0.0798505	−	0.361148i
$995$	3.24023	−	5.61224i	0.102722	−	0.177920i
$996$	4.00815	+	6.94183i	0.127003	+	0.219960i
$997$	25.0661			0.793851			0.396926	−	0.917851i	$-0.370077\pi$
$997$	25.0661			0.793851			0.396926	+	0.917851i	$0.370077\pi$
$998$	19.8062	−	11.7516i	0.626955	−	0.371992i
$999$	9.15177	+	18.8361i	0.289549	+	0.595947i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.15	yes	88
3.2	odd	2		756.2.o.a.179.30		88
4.3	odd	2	inner	252.2.o.a.95.1	✓	88
7.2	even	3		252.2.bb.a.23.16	yes	88
9.2	odd	6		252.2.bb.a.11.29	yes	88
9.7	even	3		756.2.bb.a.683.16		88
12.11	even	2		756.2.o.a.179.44		88
21.2	odd	6		756.2.bb.a.611.29		88
28.23	odd	6		252.2.bb.a.23.29	yes	88
36.7	odd	6		756.2.bb.a.683.29		88
36.11	even	6		252.2.bb.a.11.16	yes	88
63.2	odd	6	inner	252.2.o.a.191.1	yes	88
63.16	even	3		756.2.o.a.359.44		88
84.23	even	6		756.2.bb.a.611.16		88
252.79	odd	6		756.2.o.a.359.30		88
252.191	even	6	inner	252.2.o.a.191.15	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.1	✓	88	4.3	odd	2	inner
252.2.o.a.95.15	yes	88	1.1	even	1	trivial
252.2.o.a.191.1	yes	88	63.2	odd	6	inner
252.2.o.a.191.15	yes	88	252.191	even	6	inner
252.2.bb.a.11.16	yes	88	36.11	even	6
252.2.bb.a.11.29	yes	88	9.2	odd	6
252.2.bb.a.23.16	yes	88	7.2	even	3
252.2.bb.a.23.29	yes	88	28.23	odd	6
756.2.o.a.179.30		88	3.2	odd	2
756.2.o.a.179.44		88	12.11	even	2
756.2.o.a.359.30		88	252.79	odd	6
756.2.o.a.359.44		88	63.16	even	3
756.2.bb.a.611.16		88	84.23	even	6
756.2.bb.a.611.29		88	21.2	odd	6
756.2.bb.a.683.16		88	9.7	even	3
756.2.bb.a.683.29		88	36.7	odd	6

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.721634 - 1.21624i) q^{2} +(0.830122 + 1.52016i) q^{3} +(-0.958489 + 1.75536i) q^{4} +1.70405i q^{5} +(1.24984 - 2.10663i) q^{6} +(-2.51318 - 0.826989i) q^{7} +(2.82662 - 0.100974i) q^{8} +(-1.62179 + 2.52384i) q^{9} +O(q^{10})\)	\(q+(-0.721634 - 1.21624i) q^{2} +(0.830122 + 1.52016i) q^{3} +(-0.958489 + 1.75536i) q^{4} +1.70405i q^{5} +(1.24984 - 2.10663i) q^{6} +(-2.51318 - 0.826989i) q^{7} +(2.82662 - 0.100974i) q^{8} +(-1.62179 + 2.52384i) q^{9} +(2.07253 - 1.22970i) q^{10} +0.198095 q^{11} +(-3.46410 + 0.000104825i) q^{12} +(-2.11577 + 3.66462i) q^{13} +(0.807779 + 3.65342i) q^{14} +(-2.59043 + 1.41457i) q^{15} +(-2.16260 - 3.36499i) q^{16} +(4.85542 + 2.80328i) q^{17} +(4.23995 + 0.151204i) q^{18} +(-6.97331 + 4.02604i) q^{19} +(-2.99122 - 1.63331i) q^{20} +(-0.829091 - 4.50695i) q^{21} +(-0.142952 - 0.240932i) q^{22} +1.67781 q^{23} +(2.49994 + 4.21311i) q^{24} +2.09622 q^{25} +(5.98387 - 0.0712257i) q^{26} +(-5.18294 - 0.370294i) q^{27} +(3.86052 - 3.61889i) q^{28} +(4.04957 - 2.33802i) q^{29} +(3.58980 + 2.12979i) q^{30} +(4.90666 - 2.83286i) q^{31} +(-2.53204 + 5.05853i) q^{32} +(0.164443 + 0.301138i) q^{33} +(-0.0943703 - 7.92831i) q^{34} +(1.40923 - 4.28258i) q^{35} +(-2.87579 - 5.26591i) q^{36} +(-2.01511 - 3.49027i) q^{37} +(9.92881 + 5.57590i) q^{38} +(-7.32716 - 0.174233i) q^{39} +(0.172064 + 4.81670i) q^{40} +(7.25892 + 4.19094i) q^{41} +(-4.88324 + 4.26074i) q^{42} +(3.72962 - 2.15330i) q^{43} +(-0.189872 + 0.347729i) q^{44} +(-4.30075 - 2.76361i) q^{45} +(-1.21076 - 2.04062i) q^{46} +(1.65627 - 2.86874i) q^{47} +(3.32012 - 6.08085i) q^{48} +(5.63218 + 4.15675i) q^{49} +(-1.51271 - 2.54952i) q^{50} +(-0.230849 + 9.70810i) q^{51} +(-4.40479 - 7.22644i) q^{52} +(-10.1145 - 5.83960i) q^{53} +(3.28982 + 6.57093i) q^{54} +0.337564i q^{55} +(-7.18733 - 2.08382i) q^{56} +(-11.9089 - 7.25846i) q^{57} +(-5.76591 - 3.23806i) q^{58} +(0.895722 + 1.55144i) q^{59} +(-0.000178627 - 5.90299i) q^{60} +(-0.960617 + 1.66384i) q^{61} +(-6.98626 - 3.92340i) q^{62} +(6.16306 - 5.00167i) q^{63} +(7.97961 - 0.570829i) q^{64} +(-6.24468 - 3.60537i) q^{65} +(0.247588 - 0.417314i) q^{66} +(2.61104 - 1.50749i) q^{67} +(-9.57464 + 5.83611i) q^{68} +(1.39279 + 2.55055i) q^{69} +(-6.22560 + 1.37649i) q^{70} -3.11658 q^{71} +(-4.32936 + 7.29771i) q^{72} +(-3.10208 + 5.37296i) q^{73} +(-2.79085 + 4.96956i) q^{74} +(1.74012 + 3.18660i) q^{75} +(-0.383320 - 16.0996i) q^{76} +(-0.497850 - 0.163823i) q^{77} +(5.07562 + 9.03733i) q^{78} +(6.93603 + 4.00452i) q^{79} +(5.73411 - 3.68517i) q^{80} +(-3.73957 - 8.18631i) q^{81} +(-0.141085 - 11.8529i) q^{82} +(-1.15699 - 2.00397i) q^{83} +(8.70601 + 2.86451i) q^{84} +(-4.77692 + 8.27387i) q^{85} +(-5.31036 - 2.98223i) q^{86} +(6.91581 + 4.21517i) q^{87} +(0.559941 - 0.0200024i) q^{88} +(14.5784 - 8.41683i) q^{89} +(-0.257658 + 7.22507i) q^{90} +(8.34791 - 7.46014i) q^{91} +(-1.60816 + 2.94517i) q^{92} +(8.37954 + 5.10730i) q^{93} +(-4.68430 + 0.0557570i) q^{94} +(-6.86056 - 11.8828i) q^{95} +(-9.79170 + 0.350079i) q^{96} +(-2.68058 - 4.64290i) q^{97} +(0.991243 - 9.84974i) q^{98} +(-0.321270 + 0.499962i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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