LMFDB - Embedded newform 252.2.n.b.31.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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, 2, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (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:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			31.6
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.32994 - 0.480902i) q^{2} +(1.67381 + 0.445360i) q^{3} +(1.53747 + 1.27914i) q^{4} -0.815110i q^{5} +(-2.01189 - 1.39724i) q^{6} +(-0.448419 - 2.60747i) q^{7} +(-1.42959 - 2.44055i) q^{8} +(2.60331 + 1.49090i) q^{9} +O(q^{10})$	\(q+(-1.32994 - 0.480902i) q^{2} +(1.67381 + 0.445360i) q^{3} +(1.53747 + 1.27914i) q^{4} -0.815110i q^{5} +(-2.01189 - 1.39724i) q^{6} +(-0.448419 - 2.60747i) q^{7} +(-1.42959 - 2.44055i) q^{8} +(2.60331 + 1.49090i) q^{9} +(-0.391988 + 1.08405i) q^{10} -4.82284i q^{11} +(2.00375 + 2.82577i) q^{12} +(2.20303 + 1.27192i) q^{13} +(-0.657570 + 3.68342i) q^{14} +(0.363018 - 1.36434i) q^{15} +(0.727604 + 3.93327i) q^{16} +(-0.503257 - 0.290555i) q^{17} +(-2.74526 - 3.23474i) q^{18} +(2.24125 + 3.88195i) q^{19} +(1.04264 - 1.25320i) q^{20} +(0.410695 - 4.56414i) q^{21} +(-2.31931 + 6.41407i) q^{22} +6.47618i q^{23} +(-1.30595 - 4.72170i) q^{24} +4.33560 q^{25} +(-2.31822 - 2.75102i) q^{26} +(3.69347 + 3.65490i) q^{27} +(2.64589 - 4.58249i) q^{28} +(-3.16210 - 5.47692i) q^{29} +(-1.13891 + 1.63991i) q^{30} +(-4.81219 - 8.33495i) q^{31} +(0.923849 - 5.58091i) q^{32} +(2.14790 - 8.07254i) q^{33} +(0.529571 + 0.628438i) q^{34} +(-2.12538 + 0.365511i) q^{35} +(2.09543 + 5.62220i) q^{36} +(1.62993 + 2.82313i) q^{37} +(-1.11388 - 6.24058i) q^{38} +(3.12100 + 3.11010i) q^{39} +(-1.98931 + 1.16528i) q^{40} +(3.04709 + 1.75924i) q^{41} +(-2.74110 + 5.87251i) q^{42} +(-4.72260 + 2.72659i) q^{43} +(6.16908 - 7.41495i) q^{44} +(1.21525 - 2.12198i) q^{45} +(3.11441 - 8.61291i) q^{46} +(-4.79019 + 8.29685i) q^{47} +(-0.533848 + 6.90760i) q^{48} +(-6.59784 + 2.33848i) q^{49} +(-5.76607 - 2.08500i) q^{50} +(-0.712957 - 0.710466i) q^{51} +(1.76012 + 4.77352i) q^{52} +(-1.09484 + 1.89632i) q^{53} +(-3.15443 - 6.63699i) q^{54} -3.93115 q^{55} +(-5.72260 + 4.82201i) q^{56} +(2.02256 + 7.49583i) q^{57} +(1.57153 + 8.80463i) q^{58} +(5.60288 + 9.70447i) q^{59} +(2.30331 - 1.63328i) q^{60} +(-6.27670 - 3.62386i) q^{61} +(2.39161 + 13.3992i) q^{62} +(2.72011 - 7.45661i) q^{63} +(-3.91253 + 6.97797i) q^{64} +(1.03676 - 1.79571i) q^{65} +(-6.73868 + 9.70304i) q^{66} +(-4.34796 + 2.51030i) q^{67} +(-0.402079 - 1.09045i) q^{68} +(-2.88423 + 10.8399i) q^{69} +(3.00240 + 0.535992i) q^{70} -3.64207i q^{71} +(-0.0830564 - 8.48487i) q^{72} +(2.26126 + 1.30554i) q^{73} +(-0.810061 - 4.53842i) q^{74} +(7.25698 + 1.93090i) q^{75} +(-1.51972 + 8.83524i) q^{76} +(-12.5754 + 2.16265i) q^{77} +(-2.65508 - 5.63714i) q^{78} +(-8.78313 - 5.07094i) q^{79} +(3.20605 - 0.593077i) q^{80} +(4.55443 + 7.76255i) q^{81} +(-3.20641 - 3.80502i) q^{82} +(0.820993 + 1.42200i) q^{83} +(6.46960 - 6.49187i) q^{84} +(-0.236835 + 0.410210i) q^{85} +(7.59199 - 1.35509i) q^{86} +(-2.85357 - 10.5756i) q^{87} +(-11.7704 + 6.89469i) q^{88} +(-1.90724 + 1.10115i) q^{89} +(-2.63667 + 2.23769i) q^{90} +(2.32862 - 6.31470i) q^{91} +(-8.28393 + 9.95690i) q^{92} +(-4.34265 - 16.0943i) q^{93} +(10.3606 - 8.73068i) q^{94} +(3.16422 - 1.82686i) q^{95} +(4.03187 - 8.92995i) q^{96} +(6.14759 - 3.54931i) q^{97} +(9.89930 + 0.0628798i) q^{98} +(7.19038 - 12.5553i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−1.32994	−	0.480902i	−0.940408	−	0.340049i
$2$	−1.32994	−	0.480902i	−0.940408	−	0.340049i
$3$	1.67381	+	0.445360i	0.966377	+	0.257129i
$3$	1.67381	+	0.445360i	0.966377	+	0.257129i
$4$	1.53747	+	1.27914i	0.768733	+	0.639570i
$5$		−	0.815110i		−	0.364528i	−0.983250	−	0.182264i	$-0.941657\pi$
$5$		−	0.815110i		−	0.364528i	0.983250	−	0.182264i	$-0.0583426\pi$
$6$	−2.01189	−	1.39724i	−0.821352	−	0.570422i
$7$	−0.448419	−	2.60747i	−0.169487	−	0.985532i
$7$	−0.448419	−	2.60747i	−0.169487	−	0.985532i
$8$	−1.42959	−	2.44055i	−0.505437	−	0.862863i
$9$	2.60331	+	1.49090i	0.867769	+	0.496967i
$10$	−0.391988	+	1.08405i	−0.123958	+	0.342805i
$11$		−	4.82284i		−	1.45414i	−0.686563	−	0.727070i	$-0.740881\pi$
$11$		−	4.82284i		−	1.45414i	0.686563	−	0.727070i	$-0.259119\pi$
$12$	2.00375	+	2.82577i	0.578434	+	0.815729i
$13$	2.20303	+	1.27192i	0.611011	+	0.352767i	0.773361	−	0.633966i	$-0.218574\pi$
$13$	2.20303	+	1.27192i	0.611011	+	0.352767i	−0.162350	+	0.986733i	$0.551907\pi$
$14$	−0.657570	+	3.68342i	−0.175743	+	0.984436i
$15$	0.363018	−	1.36434i	0.0937308	−	0.352272i
$16$	0.727604	+	3.93327i	0.181901	+	0.983317i
$17$	−0.503257	−	0.290555i	−0.122058	−	0.0704700i	0.437728	−	0.899107i	$-0.355783\pi$
$17$	−0.503257	−	0.290555i	−0.122058	−	0.0704700i	−0.559786	+	0.828637i	$0.689117\pi$
$18$	−2.74526	−	3.23474i	−0.647064	−	0.762436i
$19$	2.24125	+	3.88195i	0.514177	+	0.890581i	0.999865	+	0.0164486i	$0.00523600\pi$
$19$	2.24125	+	3.88195i	0.514177	+	0.890581i	−0.485687	+	0.874133i	$0.661431\pi$
$20$	1.04264	−	1.25320i	0.233141	−	0.280225i
$21$	0.410695	−	4.56414i	0.0896210	−	0.995976i
$22$	−2.31931	+	6.41407i	−0.494479	+	1.36749i
$23$			6.47618i			1.35038i	0.737646	+	0.675188i	$0.235937\pi$
$23$			6.47618i			1.35038i	−0.737646	+	0.675188i	$0.764063\pi$
$24$	−1.30595	−	4.72170i	−0.266576	−	0.963814i
$25$	4.33560			0.867119
$26$	−2.31822	−	2.75102i	−0.454641	−	0.539519i
$27$	3.69347	+	3.65490i	0.710808	+	0.703386i
$28$	2.64589	−	4.58249i	0.500027	−	0.866010i
$29$	−3.16210	−	5.47692i	−0.587188	−	1.01704i	−0.994599	−	0.103794i	$-0.966902\pi$
$29$	−3.16210	−	5.47692i	−0.587188	−	1.01704i	0.407411	−	0.913245i	$-0.366432\pi$
$30$	−1.13891	+	1.63991i	−0.207935	+	0.299406i
$31$	−4.81219	−	8.33495i	−0.864294	−	1.49700i	−0.867746	−	0.497008i	$-0.834432\pi$
$31$	−4.81219	−	8.33495i	−0.864294	−	1.49700i	0.00345157	−	0.999994i	$-0.498901\pi$
$32$	0.923849	−	5.58091i	0.163315	−	0.986574i
$33$	2.14790	−	8.07254i	0.373902	−	1.40525i
$34$	0.529571	+	0.628438i	0.0908207	+	0.107776i
$35$	−2.12538	+	0.365511i	−0.359255	+	0.0617827i
$36$	2.09543	+	5.62220i	0.349238	+	0.937034i
$37$	1.62993	+	2.82313i	0.267959	+	0.464119i	0.968335	−	0.249655i	$-0.0803173\pi$
$37$	1.62993	+	2.82313i	0.267959	+	0.464119i	−0.700375	+	0.713775i	$0.746984\pi$
$38$	−1.11388	−	6.24058i	−0.180695	−	1.01235i
$39$	3.12100	+	3.11010i	0.499760	+	0.498015i
$40$	−1.98931	+	1.16528i	−0.314538	+	0.184246i
$41$	3.04709	+	1.75924i	0.475875	+	0.274747i	0.718696	−	0.695325i	$-0.244739\pi$
$41$	3.04709	+	1.75924i	0.475875	+	0.274747i	−0.242821	+	0.970071i	$0.578073\pi$
$42$	−2.74110	+	5.87251i	−0.422961	+	0.906148i
$43$	−4.72260	+	2.72659i	−0.720190	+	0.415802i	−0.814823	−	0.579710i	$-0.803166\pi$
$43$	−4.72260	+	2.72659i	−0.720190	+	0.415802i	0.0946327	+	0.995512i	$0.469832\pi$
$44$	6.16908	−	7.41495i	0.930024	−	1.11785i
$45$	1.21525	−	2.12198i	0.181159	−	0.316327i
$46$	3.11441	−	8.61291i	0.459194	−	1.26990i
$47$	−4.79019	+	8.29685i	−0.698721	+	1.21022i	0.270190	+	0.962807i	$0.412914\pi$
$47$	−4.79019	+	8.29685i	−0.698721	+	1.21022i	−0.968910	+	0.247413i	$0.920420\pi$
$48$	−0.533848	+	6.90760i	−0.0770543	+	0.997027i
$49$	−6.59784	+	2.33848i	−0.942549	+	0.334069i
$50$	−5.76607	−	2.08500i	−0.815445	−	0.294863i
$51$	−0.712957	−	0.710466i	−0.0998339	−	0.0994852i
$52$	1.76012	+	4.77352i	0.244085	+	0.661968i
$53$	−1.09484	+	1.89632i	−0.150388	+	0.260480i	−0.931370	−	0.364074i	$-0.881386\pi$
$53$	−1.09484	+	1.89632i	−0.150388	+	0.260480i	0.780982	+	0.624553i	$0.214719\pi$
$54$	−3.15443	−	6.63699i	−0.429263	−	0.903179i
$55$	−3.93115			−0.530076
$56$	−5.72260	+	4.82201i	−0.764715	+	0.644369i
$57$	2.02256	+	7.49583i	0.267895	+	0.992847i
$58$	1.57153	+	8.80463i	0.206353	+	1.15610i
$59$	5.60288	+	9.70447i	0.729432	+	1.26341i	0.957123	+	0.289680i	$0.0935490\pi$
$59$	5.60288	+	9.70447i	0.729432	+	1.26341i	−0.227691	+	0.973733i	$0.573118\pi$
$60$	2.30331	−	1.63328i	0.297356	−	0.210856i
$61$	−6.27670	−	3.62386i	−0.803649	−	0.463987i	0.0410962	−	0.999155i	$-0.486915\pi$
$61$	−6.27670	−	3.62386i	−0.803649	−	0.463987i	−0.844746	+	0.535168i	$0.820248\pi$
$62$	2.39161	+	13.3992i	0.303735	+	1.70169i
$63$	2.72011	−	7.45661i	0.342702	−	0.939444i
$64$	−3.91253	+	6.97797i	−0.489066	+	0.872247i
$65$	1.03676	−	1.79571i	0.128594	−	0.222731i
$66$	−6.73868	+	9.70304i	−0.829474	+	1.19436i
$67$	−4.34796	+	2.51030i	−0.531188	+	0.306682i	−0.741500	−	0.670953i	$-0.765885\pi$
$67$	−4.34796	+	2.51030i	−0.531188	+	0.306682i	0.210312	+	0.977634i	$0.432552\pi$
$68$	−0.402079	−	1.09045i	−0.0487593	−	0.132237i
$69$	−2.88423	+	10.8399i	−0.347221	+	1.30497i
$70$	3.00240	+	0.535992i	0.358855	+	0.0640633i
$71$		−	3.64207i		−	0.432234i	−0.976367	−	0.216117i	$-0.930661\pi$
$71$		−	3.64207i		−	0.432234i	0.976367	−	0.216117i	$-0.0693392\pi$
$72$	−0.0830564	−	8.48487i	−0.00978829	−	0.999952i
$73$	2.26126	+	1.30554i	0.264661	+	0.152802i	0.626459	−	0.779454i	$-0.284504\pi$
$73$	2.26126	+	1.30554i	0.264661	+	0.152802i	−0.361798	+	0.932257i	$0.617837\pi$
$74$	−0.810061	−	4.53842i	−0.0941677	−	0.527581i
$75$	7.25698	+	1.93090i	0.837964	+	0.222961i
$76$	−1.51972	+	8.83524i	−0.174324	+	1.01347i
$77$	−12.5754	+	2.16265i	−1.43310	+	0.246457i
$78$	−2.65508	−	5.63714i	−0.300629	−	0.638280i
$79$	−8.78313	−	5.07094i	−0.988179	−	0.570526i	−0.0834497	−	0.996512i	$-0.526594\pi$
$79$	−8.78313	−	5.07094i	−0.988179	−	0.570526i	−0.904730	+	0.425986i	$0.859927\pi$
$80$	3.20605	−	0.593077i	0.358447	−	0.0663081i
$81$	4.55443	+	7.76255i	0.506047	+	0.862506i
$82$	−3.20641	−	3.80502i	−0.354089	−	0.420195i
$83$	0.820993	+	1.42200i	0.0901157	+	0.156085i	0.907560	−	0.419923i	$-0.137943\pi$
$83$	0.820993	+	1.42200i	0.0901157	+	0.156085i	−0.817444	+	0.576008i	$0.804610\pi$
$84$	6.46960	−	6.49187i	0.705891	−	0.708321i
$85$	−0.236835	+	0.410210i	−0.0256883	+	0.0444935i
$86$	7.59199	−	1.35509i	0.818665	−	0.146123i
$87$	−2.85357	−	10.5756i	−0.305935	−	1.13383i
$88$	−11.7704	+	6.89469i	−1.25472	+	0.734977i
$89$	−1.90724	+	1.10115i	−0.202167	+	0.116721i	−0.597666	−	0.801745i	$-0.703905\pi$
$89$	−1.90724	+	1.10115i	−0.202167	+	0.116721i	0.395499	+	0.918466i	$0.370572\pi$
$90$	−2.63667	+	2.23769i	−0.277930	+	0.235873i
$91$	2.32862	−	6.31470i	0.244106	−	0.661961i
$92$	−8.28393	+	9.95690i	−0.863660	+	1.03808i
$93$	−4.34265	−	16.0943i	−0.450312	−	1.66890i
$94$	10.3606	−	8.73068i	1.06862	−	0.900500i
$95$	3.16422	−	1.82686i	0.324642	−	0.187432i
$96$	4.03187	−	8.92995i	0.411501	−	0.911409i
$97$	6.14759	−	3.54931i	0.624193	−	0.360378i	−0.154307	−	0.988023i	$-0.549314\pi$
$97$	6.14759	−	3.54931i	0.624193	−	0.360378i	0.778500	+	0.627645i	$0.215981\pi$
$98$	9.89930	+	0.0628798i	0.999980	+	0.00635182i
$99$	7.19038	−	12.5553i	0.722660	−	1.26186i
$100$	6.66583	+	5.54583i	0.666583	+	0.554583i
$101$			9.41732i			0.937058i	0.883448	+	0.468529i	$0.155216\pi$
$101$			9.41732i			0.937058i	−0.883448	+	0.468529i	$0.844784\pi$
$102$	0.606522	+	1.28774i	0.0600547	+	0.127505i
$103$	5.15217			0.507659			0.253829	−	0.967249i	$-0.418310\pi$
$103$	5.15217			0.507659			0.253829	+	0.967249i	$0.418310\pi$
$104$	−0.0452555	−	7.19493i	−0.00443767	−	0.705521i
$105$	−3.72027	−	0.334762i	−0.363061	−	0.0326694i
$106$	2.36802	−	1.99548i	0.230002	−	0.193818i
$107$	−10.4663	+	6.04271i	−1.01181	+	0.584170i	−0.911722	−	0.410808i	$-0.865247\pi$
$107$	−10.4663	+	6.04271i	−1.01181	+	0.584170i	−0.100091	+	0.994978i	$0.531913\pi$
$108$	1.00345	+	10.3437i	0.0965569	+	0.995327i
$109$	1.83950	−	3.18610i	0.176192	−	0.305173i	−0.764381	−	0.644764i	$-0.776955\pi$
$109$	1.83950	−	3.18610i	0.176192	−	0.305173i	0.940573	+	0.339591i	$0.110289\pi$
$110$	5.22818	+	1.89050i	0.498487	+	0.180252i
$111$	1.47090	+	5.45130i	0.139611	+	0.517414i
$112$	9.92962	−	3.66096i	0.938261	−	0.345928i
$113$	−2.77892	+	4.81323i	−0.261419	+	0.452790i	−0.966619	−	0.256218i	$-0.917524\pi$
$113$	−2.77892	+	4.81323i	−0.261419	+	0.452790i	0.705201	+	0.709008i	$0.250857\pi$
$114$	0.914881	−	10.9416i	0.0856864	−	1.02478i
$115$	5.27880			0.492250
$116$	2.14412	−	12.4654i	0.199077	−	1.15738i
$117$	3.83886	+	6.59571i	0.354903	+	0.609773i
$118$	−2.78457	−	15.6008i	−0.256341	−	1.43617i
$119$	−0.531946	+	1.44252i	−0.0487634	+	0.132236i
$120$	−3.84871	+	1.06449i	−0.351338	+	0.0971744i
$121$	−12.2598			−1.11453
$122$	6.60490	+	7.83798i	0.597980	+	0.709617i
$123$	4.31676	+	4.30169i	0.389229	+	0.387870i
$124$	3.26299	−	18.9702i	0.293025	−	1.70357i
$125$		−	7.60954i		−	0.680618i
$126$	−7.20348	+	8.60871i	−0.641737	+	0.766925i
$127$			1.07938i			0.0957798i	0.998853	+	0.0478899i	$0.0152497\pi$
$127$			1.07938i			0.0957798i	−0.998853	+	0.0478899i	$0.984750\pi$
$128$	8.55914	−	7.39872i	0.756529	−	0.653961i
$129$	−9.11907	+	2.46055i	−0.802890	+	0.216640i
$130$	−2.24238	+	1.88961i	−0.196670	+	0.165730i
$131$	8.74823			0.764336			0.382168	−	0.924093i	$-0.375178\pi$
$131$	8.74823			0.764336			0.382168	+	0.924093i	$0.375178\pi$
$132$	13.6282	−	9.66379i	1.18618	−	0.841125i
$133$	9.11707	−	7.58474i	0.790551	−	0.657680i
$134$	6.98972	−	1.24759i	0.603820	−	0.107776i
$135$	2.97915	−	3.01058i	0.256404	−	0.259110i
$136$	0.0103381	+	1.64360i	0.000886484	+	0.140937i
$137$	−8.62094			−0.736537			−0.368268	−	0.929720i	$-0.620049\pi$
$137$	−8.62094			−0.736537			−0.368268	+	0.929720i	$0.620049\pi$
$138$	9.04879	−	13.0294i	0.770284	−	1.10913i
$139$	4.64043	−	8.03745i	0.393596	−	0.681728i	−0.599325	−	0.800506i	$-0.704564\pi$
$139$	4.64043	−	8.03745i	0.393596	−	0.681728i	0.992921	+	0.118778i	$0.0378977\pi$
$140$	−3.73524	−	2.15669i	−0.315685	−	0.182274i
$141$	−11.7130	+	11.7540i	−0.986410	+	0.989867i
$142$	−1.75148	+	4.84372i	−0.146981	+	0.406476i
$143$	6.13427	−	10.6249i	0.512974	−	0.888496i
$144$	−3.96994	+	11.3243i	−0.330828	+	0.943691i
$145$	−4.46430	+	2.57746i	−0.370740	+	0.214047i
$146$	−2.37950	−	2.82374i	−0.196929	−	0.233694i
$147$	−12.0850	+	0.975770i	−0.996756	+	0.0804802i
$148$	−1.10521	+	6.42538i	−0.0908474	+	0.528163i
$149$	10.9454			0.896681			0.448340	−	0.893863i	$-0.352015\pi$
$149$	10.9454			0.896681			0.448340	+	0.893863i	$0.352015\pi$
$150$	−8.72275	−	6.05788i	−0.712210	−	0.494624i
$151$		−	0.380125i		−	0.0309341i	−0.999880	−	0.0154671i	$-0.995076\pi$
$151$		−	0.380125i		−	0.0309341i	0.999880	−	0.0154671i	$-0.00492351\pi$
$152$	6.27002	−	11.0195i	0.508566	−	0.893798i
$153$	−0.876943	−	1.50671i	−0.0708966	−	0.121810i
$154$	17.7646	+	3.17136i	1.43151	+	0.255555i
$155$	−6.79391	+	3.92246i	−0.545700	+	0.315060i
$156$	0.820181	+	8.77388i	0.0656670	+	0.702472i
$157$	4.29740	−	2.48111i	0.342970	−	0.198014i	−0.318615	−	0.947884i	$-0.603218\pi$
$157$	4.29740	−	2.48111i	0.342970	−	0.198014i	0.661585	+	0.749871i	$0.269884\pi$
$158$	9.24238	+	10.9679i	0.735285	+	0.872556i
$159$	−2.67711	+	2.68649i	−0.212308	+	0.213053i
$160$	−4.54905	−	0.753039i	−0.359634	−	0.0595330i
$161$	16.8865	−	2.90404i	1.33084	−	0.228871i
$162$	−2.32407	−	12.5139i	−0.182597	−	0.983188i
$163$	−17.9942	+	10.3890i	−1.40942	+	0.813727i	−0.995332	−	0.0965111i	$-0.969232\pi$
$163$	−17.9942	+	10.3890i	−1.40942	+	0.813727i	−0.414085	+	0.910238i	$0.635898\pi$
$164$	2.43448	+	6.60241i	0.190101	+	0.515562i
$165$	−6.58001	−	1.75078i	−0.512253	−	0.136298i
$166$	−0.408026	−	2.28599i	−0.0316689	−	0.177427i
$167$	1.02852	−	1.78145i	0.0795893	−	0.137853i	−0.823483	−	0.567340i	$-0.807972\pi$
$167$	1.02852	−	1.78145i	0.0795893	−	0.137853i	0.903073	+	0.429487i	$0.141306\pi$
$168$	−11.7261	+	5.52253i	−0.904689	+	0.426073i
$169$	−3.26443	−	5.65416i	−0.251110	−	0.434936i
$170$	0.512246	−	0.431659i	0.0392875	−	0.0331067i
$171$	0.0470475	+	13.4474i	0.00359781	+	1.02835i
$172$	−10.7485	−	1.84882i	−0.819568	−	0.140971i
$173$	12.4933	+	7.21301i	0.949848	+	0.548395i	0.893034	−	0.449990i	$-0.148572\pi$
$173$	12.4933	+	7.21301i	0.949848	+	0.548395i	0.0568140	+	0.998385i	$0.481906\pi$
$174$	−1.29078	+	15.4372i	−0.0978535	+	1.17029i
$175$	−1.94416	−	11.3050i	−0.146965	−	0.854574i
$176$	18.9695	−	3.50912i	1.42988	−	0.264510i
$177$	5.05619	+	18.7388i	0.380046	+	1.40849i
$178$	3.06605	−	0.547258i	0.229810	−	0.0410188i
$179$	3.35237	+	1.93549i	0.250568	+	0.144666i	0.620024	−	0.784583i	$-0.287123\pi$
$179$	3.35237	+	1.93549i	0.250568	+	0.144666i	−0.369456	+	0.929248i	$0.620456\pi$
$180$	4.58272	−	1.70800i	0.341576	−	0.127307i
$181$			24.8665i			1.84831i	0.382012	+	0.924157i	$0.375231\pi$
$181$			24.8665i			1.84831i	−0.382012	+	0.924157i	$0.624769\pi$
$182$	−6.13367	+	7.27832i	−0.454658	+	0.539505i
$183$	−8.89211	−	8.86106i	−0.657324	−	0.655028i
$184$	15.8054	−	9.25829i	1.16519	−	0.682530i
$185$	2.30116	−	1.32858i	0.169185	−	0.0976788i
$186$	−1.96434	+	23.4928i	−0.144033	+	1.72258i
$187$	−1.40130	+	2.42713i	−0.102473	+	0.177489i
$188$	−17.9776	+	6.62880i	−1.31115	+	0.483455i
$189$	7.87384	−	11.2695i	0.572738	−	0.819739i
$190$	−5.08676	+	0.907933i	−0.369032	+	0.0658684i
$191$	−16.0508	−	9.26695i	−1.16140	−	0.670533i	−0.209759	−	0.977753i	$-0.567268\pi$
$191$	−16.0508	−	9.26695i	−1.16140	−	0.670533i	−0.951639	+	0.307220i	$0.900601\pi$
$192$	−9.65656	+	9.93734i	−0.696902	+	0.717166i
$193$	−13.1752	−	22.8201i	−0.948371	−	1.64263i	−0.748856	−	0.662732i	$-0.769397\pi$
$193$	−13.1752	−	22.8201i	−0.948371	−	1.64263i	−0.199515	−	0.979895i	$-0.563937\pi$
$194$	−9.88278	+	1.76397i	−0.709542	+	0.126646i
$195$	2.53508	−	2.54396i	0.181541	−	0.182177i
$196$	−13.1352	−	4.84422i	−0.938229	−	0.346016i
$197$	−5.05586			−0.360215			−0.180107	−	0.983647i	$-0.557645\pi$
$197$	−5.05586			−0.360215			−0.180107	+	0.983647i	$0.557645\pi$
$198$	−15.6006	+	13.2399i	−1.10869	+	0.940922i
$199$	10.9222	−	18.9178i	0.774255	−	1.34105i	−0.160957	−	0.986961i	$-0.551458\pi$
$199$	10.9222	−	18.9178i	0.774255	−	1.34105i	0.935212	−	0.354088i	$-0.115209\pi$
$200$	−6.19813	−	10.5812i	−0.438274	−	0.748205i
$201$	−8.39567	+	2.26536i	−0.592185	+	0.159786i
$202$	4.52881	−	12.5244i	0.318646	−	0.881217i
$203$	−12.8630	+	10.7011i	−0.902805	+	0.751067i
$204$	−0.187361	−	2.00429i	−0.0131179	−	0.140328i
$205$	1.43397	−	2.48371i	0.100153	−	0.173470i
$206$	−6.85207	−	2.47769i	−0.477406	−	0.172629i
$207$	−9.65534	+	16.8595i	−0.671092	+	1.17181i
$208$	−3.39987	+	9.59057i	−0.235739	+	0.664986i
$209$	18.7220	−	10.8092i	1.29503	−	0.747686i
$210$	4.78674	+	2.23430i	0.330317	+	0.154181i
$211$	22.2066	+	12.8210i	1.52876	+	0.882632i	0.999414	+	0.0342290i	$0.0108975\pi$
$211$	22.2066	+	12.8210i	1.52876	+	0.882632i	0.529350	+	0.848403i	$0.322436\pi$
$212$	−4.10894	+	1.51507i	−0.282203	+	0.104056i
$213$	1.62203	−	6.09614i	0.111140	−	0.417701i
$214$	16.8254	−	3.00317i	1.15016	−	0.205292i
$215$	2.22248	+	3.84944i	0.151572	+	0.262530i
$216$	3.63981	−	14.2391i	0.247657	−	0.968848i
$217$	−19.5753	+	16.2852i	−1.32886	+	1.10551i
$218$	−3.97862	+	3.35269i	−0.269466	+	0.227073i
$219$	3.20350	+	3.19231i	0.216472	+	0.215716i
$220$	−6.04400	−	5.02848i	−0.407487	−	0.339020i
$221$	−0.739127	−	1.28021i	−0.0497191	−	0.0861160i
$222$	0.665342	−	7.95724i	0.0446548	−	0.534055i
$223$	12.3031	+	21.3096i	0.823876	+	1.42699i	0.902776	+	0.430112i	$0.141526\pi$
$223$	12.3031	+	21.3096i	0.823876	+	1.42699i	−0.0789002	+	0.996883i	$0.525141\pi$
$224$	−14.9663	+	0.0936729i	−0.999980	+	0.00625878i
$225$	11.2869	+	6.46394i	0.752459	+	0.430930i
$226$	6.01048	−	5.06490i	0.399811	−	0.336912i
$227$	21.9553			1.45722			0.728611	−	0.684928i	$-0.240166\pi$
$227$	21.9553			1.45722			0.728611	+	0.684928i	$0.240166\pi$
$228$	−6.47859	+	14.1117i	−0.429055	+	0.934572i
$229$		−	10.7070i		−	0.707539i	−0.935333	−	0.353769i	$-0.884900\pi$
$229$		−	10.7070i		−	0.707539i	0.935333	−	0.353769i	$-0.115100\pi$
$230$	−7.02047	−	2.53858i	−0.462916	−	0.167389i
$231$	−22.0121	−	1.98072i	−1.44829	−	0.130322i
$232$	−8.84617	+	15.5470i	−0.580779	+	1.02071i
$233$	2.17122	+	3.76066i	0.142241	+	0.246369i	0.928340	−	0.371731i	$-0.121236\pi$
$233$	2.17122	+	3.76066i	0.142241	+	0.246369i	−0.786099	+	0.618101i	$0.787902\pi$
$234$	−1.93356	−	10.6180i	−0.126401	−	0.694120i
$235$	6.76285	+	3.90453i	0.441159	+	0.254704i
$236$	−3.79913	+	22.0871i	−0.247303	+	1.43775i
$237$	−12.4429	−	12.3995i	−0.808255	−	0.805432i
$238$	1.40117	−	1.66265i	0.0908241	−	0.107773i
$239$	−9.17613	−	5.29784i	−0.593554	−	0.342689i	0.172947	−	0.984931i	$-0.444671\pi$
$239$	−9.17613	−	5.29784i	−0.593554	−	0.342689i	−0.766502	+	0.642242i	$0.778004\pi$
$240$	5.63046	+	0.435145i	0.363445	+	0.0280885i
$241$		−	6.82353i		−	0.439542i	−0.975551	−	0.219771i	$-0.929469\pi$
$241$		−	6.82353i		−	0.439542i	0.975551	−	0.219771i	$-0.0705311\pi$
$242$	16.3047	+	5.89576i	1.04811	+	0.378994i
$243$	4.16613	+	15.0214i	0.267258	+	0.963625i
$244$	−5.01480	−	13.6003i	−0.321040	−	0.870672i
$245$	1.90612	+	5.37797i	0.121778	+	0.343586i
$246$	−3.67233	−	7.79691i	−0.234139	−	0.497113i
$247$			11.4028i			0.725540i
$248$	−13.4624	+	23.6600i	−0.854862	+	1.50241i
$249$	0.740887	+	2.74581i	0.0469518	+	0.174008i
$250$	−3.65944	+	10.1202i	−0.231444	+	0.640058i
$251$	9.85832			0.622252			0.311126	−	0.950369i	$-0.399294\pi$
$251$	9.85832			0.622252			0.311126	+	0.950369i	$0.399294\pi$
$252$	13.7201	−	7.98488i	0.864286	−	0.503000i
$253$	31.2336			1.96364
$254$	0.519078	−	1.43551i	0.0325698	−	0.0900721i
$255$	−0.579108	+	0.581138i	−0.0362652	+	0.0363923i
$256$	−14.9412	+	5.72372i	−0.933824	+	0.357733i
$257$		−	13.6871i		−	0.853777i	−0.904304	−	0.426888i	$-0.859610\pi$
$257$		−	13.6871i		−	0.853777i	0.904304	−	0.426888i	$-0.140390\pi$
$258$	13.3111	+	1.11300i	0.828712	+	0.0692924i
$259$	6.63034	−	5.51595i	0.411989	−	0.342745i
$260$	3.89095	−	1.43469i	0.241306	−	0.0889759i
$261$	−0.0663778	−	18.9725i	−0.00410868	−	1.17437i
$262$	−11.6346	−	4.20704i	−0.718788	−	0.259912i
$263$		−	15.6014i		−	0.962025i	−0.876714	−	0.481013i	$-0.840269\pi$
$263$		−	15.6014i		−	0.962025i	0.876714	−	0.481013i	$-0.159731\pi$
$264$	−22.7720	+	6.29838i	−1.40152	+	0.387639i
$265$	1.54571	+	0.892417i	0.0949523	+	0.0548207i
$266$	−15.7727	+	5.70280i	−0.967083	+	0.349661i
$267$	−3.68277	+	0.993704i	−0.225382	+	0.0608137i
$268$	−9.89586	−	1.70215i	−0.604486	−	0.103976i
$269$	18.5276	+	10.6969i	1.12965	+	0.652202i	0.943846	−	0.330386i	$-0.107179\pi$
$269$	18.5276	+	10.6969i	1.12965	+	0.652202i	0.185801	+	0.982587i	$0.440512\pi$
$270$	−5.40988	+	2.57121i	−0.329235	+	0.156479i
$271$	1.36221	+	2.35942i	0.0827485	+	0.143325i	0.904430	−	0.426623i	$-0.140297\pi$
$271$	1.36221	+	2.35942i	0.0827485	+	0.143325i	−0.821681	+	0.569948i	$0.806964\pi$
$272$	0.776661	−	2.19085i	0.0470920	−	0.132840i
$273$	6.70999	−	9.53256i	0.406107	−	0.576937i
$274$	11.4653	+	4.14583i	0.692645	+	0.250459i
$275$		−	20.9099i		−	1.26091i
$276$	−18.3002	+	12.9767i	−1.10154	+	0.781103i
$277$	11.3909			0.684414			0.342207	−	0.939625i	$-0.388826\pi$
$277$	11.3909			0.684414			0.342207	+	0.939625i	$0.388826\pi$
$278$	−10.0367	+	8.45772i	−0.601961	+	0.507260i
$279$	−0.101016	−	28.8730i	−0.00604766	−	1.72858i
$280$	3.93047	+	4.66455i	0.234891	+	0.278760i
$281$	−15.5146	−	26.8721i	−0.925524	−	1.60305i	−0.790716	−	0.612183i	$-0.790292\pi$
$281$	−15.5146	−	26.8721i	−0.925524	−	1.60305i	−0.134808	−	0.990872i	$-0.543042\pi$
$282$	21.2301	−	9.99932i	1.26423	−	0.595451i
$283$	2.02780	+	3.51226i	0.120540	+	0.208782i	0.919981	−	0.391963i	$-0.128204\pi$
$283$	2.02780	+	3.51226i	0.120540	+	0.208782i	−0.799441	+	0.600745i	$0.794871\pi$
$284$	4.65871	−	5.59956i	0.276444	−	0.332272i
$285$	6.10993	−	1.64861i	0.361921	−	0.0976553i
$286$	−13.2677	+	11.1804i	−0.784537	+	0.661112i
$287$	3.22079	−	8.73407i	0.190117	−	0.515556i
$288$	10.7256	−	13.1514i	0.632015	−	0.774957i
$289$	−8.33116	−	14.4300i	−0.490068	−	0.848823i
$290$	7.17674	−	1.28097i	0.421433	−	0.0752214i
$291$	11.8706	−	3.20300i	0.695870	−	0.187763i
$292$	1.80665	+	4.89970i	0.105726	+	0.286733i
$293$	−18.5526	−	10.7113i	−1.08385	−	0.625762i	−0.151919	−	0.988393i	$-0.548545\pi$
$293$	−18.5526	−	10.7113i	−1.08385	−	0.625762i	−0.931933	+	0.362631i	$0.881879\pi$
$294$	16.5416	+	4.51400i	0.964724	+	0.263262i
$295$	7.91021	−	4.56696i	0.460550	−	0.265899i
$296$	4.55983	−	8.01385i	0.265035	−	0.465796i
$297$	17.6270	−	17.8130i	1.02282	−	1.03361i
$298$	−14.5567	−	5.26366i	−0.843246	−	0.304916i
$299$	−8.23718	+	14.2672i	−0.476369	+	0.825095i
$300$	8.68747	+	12.2514i	0.501571	+	0.707334i
$301$	9.22723	+	11.0914i	0.531849	+	0.639298i
$302$	−0.182803	+	0.505542i	−0.0105191	+	0.0290907i
$303$	−4.19410	+	15.7628i	−0.240945	+	0.905552i
$304$	−13.6380	+	11.6399i	−0.782194	+	0.667597i
$305$	−2.95384	+	5.11620i	−0.169137	+	0.292953i
$306$	0.441698	+	2.42556i	0.0252502	+	0.138660i
$307$	−19.4087			−1.10771			−0.553856	−	0.832613i	$-0.686844\pi$
$307$	−19.4087			−1.10771			−0.553856	+	0.832613i	$0.686844\pi$
$308$	−22.1006	−	12.7607i	−1.25930	−	0.727109i
$309$	8.62378	+	2.29457i	0.490590	+	0.130534i
$310$	10.9218	−	1.94943i	0.620316	−	0.110720i
$311$	−5.36479	−	9.29209i	−0.304209	−	0.526906i	0.672876	−	0.739756i	$-0.265059\pi$
$311$	−5.36479	−	9.29209i	−0.304209	−	0.526906i	−0.977085	+	0.212850i	$0.931726\pi$
$312$	3.12859	−	12.0631i	0.177121	−	0.682940i
$313$	21.1362	+	12.2030i	1.19469	+	0.689754i	0.959366	−	0.282163i	$-0.0910520\pi$
$313$	21.1362	+	12.2030i	1.19469	+	0.689754i	0.235323	+	0.971917i	$0.424385\pi$
$314$	−6.90844	+	1.23309i	−0.389866	+	0.0695870i
$315$	−6.07796	−	2.21719i	−0.342454	−	0.124925i
$316$	−7.01732	−	19.0312i	−0.394755	−	1.07059i
$317$	−16.0620	+	27.8202i	−0.902132	+	1.56254i	−0.0774105	+	0.996999i	$0.524665\pi$
$317$	−16.0620	+	27.8202i	−0.902132	+	1.56254i	−0.824721	+	0.565539i	$0.808668\pi$
$318$	4.85232	−	2.28544i	0.272105	−	0.128161i
$319$	−26.4143	+	15.2503i	−1.47892	+	0.853854i
$320$	5.68782	+	3.18914i	0.317959	+	0.178279i
$321$	−20.2098	+	5.45310i	−1.12800	+	0.304363i
$322$	−23.8545	−	4.25854i	−1.32936	−	0.237319i
$323$		−	2.60483i		−	0.144936i
$324$	−2.92711	+	17.7604i	−0.162617	+	0.986689i
$325$	9.55146	+	5.51454i	0.529819	+	0.305891i
$326$	28.9273	−	5.16322i	1.60213	−	0.285964i
$327$	4.49794	−	4.51370i	0.248736	−	0.249608i
$328$	−0.0625944	−	9.95154i	−0.00345620	−	0.549482i
$329$	23.7818	+	8.76982i	1.31113	+	0.483496i
$330$	7.90904	+	5.49276i	0.435379	+	0.302367i
$331$	22.6433	+	13.0731i	1.24459	+	0.718565i	0.970025	−	0.243004i	$-0.0781328\pi$
$331$	22.6433	+	13.0731i	1.24459	+	0.718565i	0.274565	+	0.961569i	$0.411466\pi$
$332$	−0.556690	+	3.23644i	−0.0305523	+	0.177623i
$333$	0.0342150	+	9.77954i	0.00187497	+	0.535916i
$334$	−2.22457	+	1.87460i	−0.121723	+	0.102574i
$335$	2.04617	+	3.54407i	0.111794	+	0.193633i
$336$	18.2508	−	1.70551i	0.995662	−	0.0930432i
$337$	2.89594	−	5.01591i	0.157752	−	0.273234i	−0.776306	−	0.630356i	$-0.782909\pi$
$337$	2.89594	−	5.01591i	0.157752	−	0.273234i	0.934058	+	0.357122i	$0.116242\pi$
$338$	1.62239	+	9.08956i	0.0882464	+	0.494407i
$339$	−6.79501	+	6.81883i	−0.369054	+	0.370348i
$340$	−0.888841	+	0.327739i	−0.0482042	+	0.0177741i
$341$	−40.1981	+	23.2084i	−2.17685	+	1.25681i
$342$	6.40431	−	17.9068i	0.346306	−	0.968290i
$343$	9.05613	+	16.1551i	0.488985	+	0.872292i
$344$	13.4058	+	7.62781i	0.722791	+	0.411264i
$345$	8.83572	+	2.35097i	0.475699	+	0.126572i
$346$	−13.1465	−	15.6009i	−0.706763	−	0.838710i
$347$	12.9078	−	7.45234i	0.692929	−	0.400063i	−0.111779	−	0.993733i	$-0.535655\pi$
$347$	12.9078	−	7.45234i	0.692929	−	0.400063i	0.804708	+	0.593670i	$0.202322\pi$
$348$	9.14044	−	19.9098i	0.489979	−	1.06728i
$349$	−2.24929	+	1.29863i	−0.120402	+	0.0695140i	−0.558991	−	0.829173i	$-0.688812\pi$
$349$	−2.24929	+	1.29863i	−0.120402	+	0.0695140i	0.438590	+	0.898687i	$0.355478\pi$
$350$	−2.85096	+	15.9698i	−0.152390	+	0.853623i
$351$	3.48808	+	12.7497i	0.186180	+	0.680527i
$352$	−26.9158	−	4.45558i	−1.43462	−	0.237483i
$353$		−	13.4676i		−	0.716810i	−0.933566	−	0.358405i	$-0.883321\pi$
$353$		−	13.4676i		−	0.716810i	0.933566	−	0.358405i	$-0.116679\pi$
$354$	2.28710	−	27.3529i	0.121558	−	1.45379i
$355$	−2.96869			−0.157562
$356$	−4.34084	−	0.746652i	−0.230064	−	0.0395725i
$357$	−1.53282	+	2.17760i	−0.0811254	+	0.115251i
$358$	−3.52766	−	4.18625i	−0.186443	−	0.221250i
$359$	15.7293	−	9.08130i	0.830159	−	0.479293i	−0.0237479	−	0.999718i	$-0.507560\pi$
$359$	15.7293	−	9.08130i	0.830159	−	0.479293i	0.853907	+	0.520425i	$0.174227\pi$
$360$	−6.91611	+	0.0677001i	−0.364511	+	0.00356811i
$361$	−0.546375	+	0.946350i	−0.0287566	+	0.0498079i
$362$	11.9584	−	33.0709i	0.628518	−	1.73817i
$363$	−20.5206	−	5.46002i	−1.07705	−	0.286577i
$364$	11.6576	−	6.73001i	0.611022	−	0.352749i
$365$	1.06416	−	1.84318i	0.0557007	−	0.0964764i
$366$	7.56465	+	16.0609i	0.395411	+	0.839516i
$367$	−11.1737			−0.583260			−0.291630	−	0.956531i	$-0.594198\pi$
$367$	−11.1737			−0.583260			−0.291630	+	0.956531i	$0.594198\pi$
$368$	−25.4725	+	4.71209i	−1.32785	+	0.245635i
$369$	5.30966	+	9.12274i	0.276410	+	0.474911i
$370$	−3.69931	+	0.660289i	−0.192318	+	0.0343268i
$371$	5.43556	+	2.00442i	0.282200	+	0.104064i
$372$	13.9102	−	30.2993i	0.721211	−	1.57095i
$373$	−30.8024			−1.59489			−0.797445	−	0.603392i	$-0.793815\pi$
$373$	−30.8024			−1.59489			−0.797445	+	0.603392i	$0.793815\pi$
$374$	3.03085	−	2.55404i	0.156722	−	0.132066i
$375$	3.38899	−	12.7370i	0.175007	−	0.657734i
$376$	27.0969	−	0.170437i	1.39741	−	0.00878962i
$377$		−	16.0878i		−	0.828563i
$378$	−15.8913	+	11.2012i	−0.817358	+	0.576130i
$379$		−	5.54837i		−	0.285001i	−0.989795	−	0.142500i	$-0.954486\pi$
$379$		−	5.54837i		−	0.285001i	0.989795	−	0.142500i	$-0.0455142\pi$
$380$	7.20169	+	1.23874i	0.369439	+	0.0635459i
$381$	−0.480715	+	1.80669i	−0.0246278	+	0.0925594i
$382$	16.8901	+	20.0433i	0.864173	+	1.02551i
$383$	−8.61343			−0.440126			−0.220063	−	0.975486i	$-0.570626\pi$
$383$	−8.61343			−0.440126			−0.220063	+	0.975486i	$0.570626\pi$
$384$	17.6215	−	8.57218i	0.899244	−	0.437447i
$385$	1.76280	+	10.2504i	0.0898407	+	0.522407i
$386$	6.54794	+	36.6853i	0.333281	+	1.86723i
$387$	−16.3595	+	0.0572357i	−0.831598	+	0.00290946i
$388$	13.9918	+	2.40668i	0.710325	+	0.122181i
$389$	3.48137			0.176513			0.0882563	−	0.996098i	$-0.471871\pi$
$389$	3.48137			0.176513			0.0882563	+	0.996098i	$0.471871\pi$
$390$	−4.59489	+	2.16419i	−0.232671	+	0.109588i
$391$	1.88169	−	3.25918i	0.0951611	−	0.164824i
$392$	15.1394	+	12.7593i	0.764655	+	0.644440i
$393$	14.6429	+	3.89611i	0.738637	+	0.196533i
$394$	6.72397	+	2.43137i	0.338749	+	0.122491i
$395$	−4.13338	+	7.15922i	−0.207973	+	0.360219i
$396$	27.1150	−	10.1059i	1.36258	−	0.507841i
$397$	−15.5989	+	9.00601i	−0.782885	+	0.451999i	−0.837452	−	0.546511i	$-0.815956\pi$
$397$	−15.5989	+	9.00601i	−0.782885	+	0.451999i	0.0545667	+	0.998510i	$0.482622\pi$
$398$	−23.6235	+	19.9070i	−1.18414	+	0.997848i
$399$	18.6382	−	8.63506i	0.933079	−	0.432293i
$400$	3.15460	+	17.0531i	0.157730	+	0.852653i
$401$	14.3056			0.714390			0.357195	−	0.934030i	$-0.383733\pi$
$401$	14.3056			0.714390			0.357195	+	0.934030i	$0.383733\pi$
$402$	12.2551	+	1.02471i	0.611230	+	0.0511078i
$403$		−	24.4829i		−	1.21958i
$404$	−12.0461	+	14.4788i	−0.599314	+	0.720348i
$405$	6.32733	−	3.71236i	0.314408	−	0.184469i
$406$	22.2531	−	8.04590i	1.10440	−	0.399311i
$407$	13.6155	−	7.86091i	0.674895	−	0.389651i
$408$	−0.714689	+	2.75568i	−0.0353824	+	0.136427i
$409$	−33.9241	+	19.5861i	−1.67744	+	0.968469i	−0.714152	+	0.699991i	$0.753188\pi$
$409$	−33.9241	+	19.5861i	−1.67744	+	0.968469i	−0.963286	+	0.268479i	$0.913479\pi$
$410$	−3.10151	+	2.61358i	−0.153173	+	0.129076i
$411$	−14.4299	−	3.83943i	−0.711772	−	0.189385i
$412$	7.92129	+	6.59035i	0.390254	+	0.324683i
$413$	22.7917	−	18.9610i	1.12151	−	0.933011i
$414$	20.9488	−	17.7788i	1.02958	−	0.873779i
$415$	1.15909	−	0.669200i	0.0568974	−	0.0328497i
$416$	9.13374	−	11.1198i	0.447819	−	0.545195i
$417$	11.3468	−	11.3865i	0.555654	−	0.557601i
$418$	−30.0973	+	5.37205i	−1.47211	+	0.262756i
$419$	11.3503	−	19.6592i	0.554497	−	0.960417i	−0.443446	−	0.896301i	$-0.646244\pi$
$419$	11.3503	−	19.6592i	0.554497	−	0.960417i	0.997942	−	0.0641156i	$-0.0204226\pi$
$420$	−5.29159	−	5.27343i	−0.258203	−	0.257317i
$421$	−0.931761	−	1.61386i	−0.0454113	−	0.0786546i	0.842426	−	0.538811i	$-0.181126\pi$
$421$	−0.931761	−	1.61386i	−0.0454113	−	0.0786546i	−0.887838	+	0.460157i	$0.847793\pi$
$422$	−23.3677	−	27.7303i	−1.13752	−	1.34989i
$423$	−24.8401	+	14.4576i	−1.20777	+	0.702951i
$424$	6.19324	−	0.0389549i	0.300770	−	0.00189182i
$425$	−2.18192	−	1.25973i	−0.105839	−	0.0611059i
$426$	−5.08885	+	7.32745i	−0.246556	+	0.355016i
$427$	−6.63452	+	17.9913i	−0.321067	+	0.870662i
$428$	−23.8210	−	4.09737i	−1.15143	−	0.198054i
$429$	14.9995	−	15.0521i	0.724184	−	0.726722i
$430$	−1.10455	−	6.18831i	−0.0532660	−	0.298427i
$431$	3.78493	+	2.18523i	0.182314	+	0.105259i	0.588379	−	0.808585i	$-0.299766\pi$
$431$	3.78493	+	2.18523i	0.182314	+	0.105259i	−0.406065	+	0.913844i	$0.633100\pi$
$432$	−11.6883	+	17.1867i	−0.562355	+	0.826896i
$433$		−	9.78275i		−	0.470129i	−0.971980	−	0.235065i	$-0.924470\pi$
$433$		−	9.78275i		−	0.470129i	0.971980	−	0.235065i	$-0.0755302\pi$
$434$	33.8655	−	12.2445i	1.62560	−	0.587755i
$435$	−8.62030	+	2.32597i	−0.413312	+	0.111522i
$436$	6.90363	−	2.54555i	0.330624	−	0.121910i
$437$	−25.1402	+	14.5147i	−1.20262	+	0.694333i
$438$	−2.72526	−	5.78614i	−0.130218	−	0.276473i
$439$	0.192573	−	0.333547i	0.00919103	−	0.0159193i	−0.861393	−	0.507939i	$-0.830408\pi$
$439$	0.192573	−	0.333547i	0.00919103	−	0.0159193i	0.870584	+	0.492019i	$0.163741\pi$
$440$	5.61994	+	9.59414i	0.267920	+	0.457383i
$441$	−20.6627	−	3.74893i	−0.983936	−	0.178521i
$442$	0.367339	+	2.05804i	0.0174725	+	0.0978911i
$443$	14.0237	+	8.09657i	0.666285	+	0.384680i	0.794668	−	0.607045i	$-0.207645\pi$
$443$	14.0237	+	8.09657i	0.666285	+	0.384680i	−0.128383	+	0.991725i	$0.540979\pi$
$444$	−4.71152	+	10.2627i	−0.223599	+	0.487045i
$445$	0.897555	+	1.55461i	0.0425482	+	0.0736956i
$446$	−6.11451	−	34.2570i	−0.289531	−	1.62211i
$447$	18.3205	+	4.87464i	0.866532	+	0.230563i
$448$	19.9493	+	7.07277i	0.942518	+	0.334157i
$449$	−33.2361			−1.56851			−0.784253	−	0.620441i	$-0.786954\pi$
$449$	−33.2361			−1.56851			−0.784253	+	0.620441i	$0.786954\pi$
$450$	−11.9023	−	14.0245i	−0.561081	−	0.661123i
$451$	8.48451	−	14.6956i	0.399520	−	0.691989i
$452$	−10.4293	+	3.84555i	−0.490552	+	0.180879i
$453$	0.169293	−	0.636258i	0.00795406	−	0.0298940i
$454$	−29.1991	−	10.5583i	−1.37038	−	0.495527i
$455$	−5.14718	−	1.89808i	−0.241303	−	0.0889834i
$456$	15.4025	−	15.6521i	0.721287	−	0.732979i
$457$	2.76931	−	4.79659i	0.129543	−	0.224375i	−0.793957	−	0.607974i	$-0.791982\pi$
$457$	2.76931	−	4.79659i	0.129543	−	0.224375i	0.923500	+	0.383599i	$0.125316\pi$
$458$	−5.14902	+	14.2396i	−0.240598	+	0.665375i
$459$	−0.796810	−	2.91251i	−0.0371919	−	0.135944i
$460$	8.11597	+	6.75232i	0.378409	+	0.314828i
$461$	5.35007	−	3.08886i	0.249178	−	0.143863i	−0.370210	−	0.928948i	$-0.620714\pi$
$461$	5.35007	−	3.08886i	0.249178	−	0.143863i	0.619388	+	0.785085i	$0.287381\pi$
$462$	28.3222	+	13.2199i	1.31767	+	0.615045i
$463$	10.1830	+	5.87914i	0.473243	+	0.273227i	0.717596	−	0.696459i	$-0.245242\pi$
$463$	10.1830	+	5.87914i	0.473243	+	0.273227i	−0.244353	+	0.969686i	$0.578576\pi$
$464$	19.2414	−	16.4224i	0.893262	−	0.762392i
$465$	−13.1186	+	3.53974i	−0.608363	+	0.164151i
$466$	−1.07907	−	6.04559i	−0.0499872	−	0.280056i
$467$	−13.8715	−	24.0262i	−0.641897	−	1.11180i	−0.985009	−	0.172504i	$-0.944814\pi$
$467$	−13.8715	−	24.0262i	−0.641897	−	1.11180i	0.343112	−	0.939295i	$-0.388519\pi$
$468$	−2.53471	+	15.0511i	−0.117167	+	0.695738i
$469$	8.49524	+	10.2115i	0.392274	+	0.471525i
$470$	−7.11646	−	8.44505i	−0.328258	−	0.389541i
$471$	8.29804	−	2.23902i	0.382353	−	0.103169i
$472$	15.6744	−	27.5475i	0.721471	−	1.26798i
$473$	13.1499	+	22.7763i	0.604634	+	1.04726i
$474$	10.5854	+	22.4744i	0.486203	+	1.03228i
$475$	9.71714	+	16.8306i	0.445853	+	0.772240i
$476$	−2.66303	+	1.53739i	−0.122060	+	0.0704663i
$477$	−5.67744	+	3.30441i	−0.259952	+	0.151298i
$478$	9.65593	+	11.4586i	0.441652	+	0.524105i
$479$	−7.15041			−0.326710			−0.163355	−	0.986567i	$-0.552232\pi$
$479$	−7.15041			−0.326710			−0.163355	+	0.986567i	$0.552232\pi$
$480$	−7.27890	−	3.28642i	−0.332235	−	0.150004i
$481$			8.29259i			0.378109i
$482$	−3.28145	+	9.07487i	−0.149466	+	0.413349i
$483$	29.5581	+	2.65973i	1.34494	+	0.121022i
$484$	−18.8490	−	15.6820i	−0.856773	−	0.712817i
$485$	−2.89308	−	5.01096i	−0.131368	−	0.227536i
$486$	1.68314	−	21.9811i	0.0763489	−	0.997081i
$487$	−6.67495	−	3.85379i	−0.302471	−	0.174632i	0.341081	−	0.940034i	$-0.389207\pi$
$487$	−6.67495	−	3.85379i	−0.302471	−	0.174632i	−0.643552	+	0.765402i	$0.722540\pi$
$488$	0.128938	+	20.4992i	0.00583677	+	0.927956i
$489$	−34.7458	+	9.37529i	−1.57126	+	0.423965i
$490$	0.0512539	−	8.06902i	0.00231542	−	0.364521i
$491$	−22.3770	−	12.9194i	−1.00986	−	0.583043i	−0.0987099	−	0.995116i	$-0.531472\pi$
$491$	−22.3770	−	12.9194i	−1.00986	−	0.583043i	−0.911151	+	0.412073i	$0.864805\pi$
$492$	1.13442	+	12.1354i	0.0511436	+	0.547108i
$493$			3.67507i			0.165517i
$494$	5.48361	−	15.1650i	0.246719	−	0.682303i
$495$	−10.2340	−	5.86095i	−0.459983	−	0.263430i
$496$	29.2822	−	24.9922i	1.31481	−	1.12218i
$497$	−9.49660	+	1.63317i	−0.425981	+	0.0732578i
$498$	0.335131	−	4.00804i	0.0150176	−	0.179605i
$499$		−	37.2132i		−	1.66589i	−0.553353	−	0.832947i	$-0.686652\pi$
$499$		−	37.2132i		−	1.66589i	0.553353	−	0.832947i	$-0.313348\pi$
$500$	9.73366	−	11.6994i	0.435303	−	0.523213i
$501$	2.51494	−	2.52376i	0.112359	−	0.112753i
$502$	−13.1110	−	4.74089i	−0.585170	−	0.211596i
$503$	−11.8075			−0.526469			−0.263235	−	0.964732i	$-0.584789\pi$
$503$	−11.8075			−0.526469			−0.263235	+	0.964732i	$0.584789\pi$
$504$	−22.0868	+	4.02135i	−0.983826	+	0.179125i
$505$	7.67615			0.341584
$506$	−41.5387	−	15.0203i	−1.84662	−	0.667733i
$507$	−2.94591	−	10.9179i	−0.130833	−	0.484880i
$508$	−1.38068	+	1.65952i	−0.0612579	+	0.0736291i
$509$		−	3.68262i		−	0.163229i	−0.996664	−	0.0816146i	$-0.973992\pi$
$509$		−	3.68262i		−	0.163229i	0.996664	−	0.0816146i	$-0.0260077\pi$
$510$	1.04965	−	0.494383i	0.0464792	−	0.0218916i
$511$	2.39017	−	6.48162i	0.105735	−	0.286730i
$512$	22.6234	−	0.426943i	0.999822	−	0.0188684i
$513$	−5.91019	+	22.5294i	−0.260941	+	0.994697i
$514$	−6.58215	+	18.2030i	−0.290326	+	0.802898i
$515$		−	4.19959i		−	0.185056i
$516$	−17.1677	−	7.88155i	−0.755764	−	0.346966i
$517$	40.0144	+	23.1023i	1.75983	+	1.01604i
$518$	−11.4706	+	4.14733i	−0.503988	+	0.182223i
$519$	17.6991	+	17.6373i	0.776903	+	0.774189i
$520$	−5.86466	+	0.0368882i	−0.257182	+	0.00161766i
$521$	−10.9116	−	6.29980i	−0.478045	−	0.275999i	0.241557	−	0.970387i	$-0.422342\pi$
$521$	−10.9116	−	6.29980i	−0.478045	−	0.275999i	−0.719601	+	0.694387i	$0.755675\pi$
$522$	−9.03564	+	25.2642i	−0.395479	+	1.10578i
$523$	9.32093	+	16.1443i	0.407576	+	0.705942i	0.994618	−	0.103615i	$-0.0330409\pi$
$523$	9.32093	+	16.1443i	0.407576	+	0.705942i	−0.587042	+	0.809557i	$0.699708\pi$
$524$	13.4501	+	11.1902i	0.587571	+	0.488846i
$525$	1.78061	−	19.7882i	0.0777121	−	0.863630i
$526$	−7.50276	+	20.7489i	−0.327136	+	0.904696i
$527$			5.59283i			0.243627i
$528$	33.3143	+	2.57466i	1.44982	+	0.112048i
$529$	−18.9408			−0.823515
$530$	−1.62653	−	1.93019i	−0.0706521	−	0.0838423i
$531$	0.117614	+	33.6171i	0.00510400	+	1.45886i
$532$	23.7191		0.000735573i	1.02835		3.18911e-5i
$533$	4.47522	+	7.75131i	0.193843	+	0.335746i
$534$	5.37573	+	0.449489i	0.232631	+	0.0194513i
$535$	4.92547	+	8.53117i	0.212947	+	0.368835i
$536$	12.3423	+	7.02270i	0.533107	+	0.303334i
$537$	4.74926	+	4.73267i	0.204946	+	0.204230i
$538$	−19.4964	−	23.1362i	−0.840548	−	0.997471i
$539$	11.2781	+	31.8203i	0.485783	+	1.37060i
$540$	8.43129	−	0.817922i	0.362825	−	0.0351977i
$541$	−9.06775	−	15.7058i	−0.389853	−	0.675245i	0.602577	−	0.798061i	$-0.294141\pi$
$541$	−9.06775	−	15.7058i	−0.389853	−	0.675245i	−0.992429	+	0.122816i	$0.960807\pi$
$542$	−0.677006	−	3.79297i	−0.0290799	−	0.162922i
$543$	−11.0746	+	41.6219i	−0.475255	+	1.78617i
$544$	−2.08650	+	2.54020i	−0.0894578	+	0.108910i
$545$	−2.59702	−	1.49939i	−0.111244	−	0.0642269i
$546$	−13.5081	+	9.45086i	−0.578093	+	0.404460i
$547$	−24.9748	+	14.4192i	−1.06784	+	0.616520i	−0.927592	−	0.373596i	$-0.878125\pi$
$547$	−24.9748	+	14.4192i	−1.06784	+	0.616520i	−0.140252	+	0.990116i	$0.544791\pi$
$548$	−13.2544	−	11.0274i	−0.566200	−	0.471067i
$549$	−10.9374	−	18.7920i	−0.466796	−	0.802021i
$550$	−10.0556	+	27.8088i	−0.428773	+	1.18577i
$551$	14.1741	−	24.5503i	0.603837	−	1.04588i
$552$	30.5786	−	8.45756i	1.30151	−	0.359978i
$553$	−9.28382	+	25.1757i	−0.394788	+	1.07058i
$554$	−15.1492	−	5.47792i	−0.643628	−	0.232734i
$555$	4.44341	−	1.19894i	0.188612	−	0.0508923i
$556$	17.4155	−	6.42156i	0.738583	−	0.272335i
$557$	−6.31355	+	10.9354i	−0.267514	+	0.463347i	−0.968219	−	0.250103i	$-0.919535\pi$
$557$	−6.31355	+	10.9354i	−0.267514	+	0.463347i	0.700705	+	0.713451i	$0.252869\pi$
$558$	−13.7507	+	38.4478i	−0.582114	+	1.62762i
$559$	−13.8721			−0.586725
$560$	−2.98409	−	8.09373i	−0.126101	−	0.342023i
$561$	−3.42647	+	3.43847i	−0.144666	+	0.145173i
$562$	7.71061	+	43.1992i	0.325252	+	1.82225i
$563$	−4.68690	−	8.11795i	−0.197529	−	0.342131i	0.750197	−	0.661214i	$-0.229958\pi$
$563$	−4.68690	−	8.11795i	−0.197529	−	0.342131i	−0.947727	+	0.319083i	$0.896625\pi$
$564$	−33.0433	+	3.08889i	−1.39138	+	0.130066i
$565$	3.92331	+	2.26512i	0.165055	+	0.0952945i
$566$	−1.00780	−	5.64626i	−0.0423609	−	0.237330i
$567$	18.1984	−	15.3564i	0.764259	−	0.644909i
$568$	−8.88863	+	5.20667i	−0.372959	+	0.218467i
$569$	−19.6969	+	34.1161i	−0.825739	+	1.43022i	0.0756147	+	0.997137i	$0.475908\pi$
$569$	−19.6969	+	34.1161i	−0.825739	+	1.43022i	−0.901353	+	0.433084i	$0.857425\pi$
$570$	−8.91864	−	0.745729i	−0.373561	−	0.0312351i
$571$	−5.00184	+	2.88781i	−0.209320	+	0.120851i	−0.600995	−	0.799252i	$-0.705229\pi$
$571$	−5.00184	+	2.88781i	−0.209320	+	0.120851i	0.391675	+	0.920104i	$0.371896\pi$
$572$	23.0219	−	8.48879i	0.962595	−	0.354934i
$573$	−22.7390	−	22.6596i	−0.949934	−	0.946617i
$574$	−8.48368	+	10.0669i	−0.354102	+	0.420184i
$575$			28.0781i			1.17094i
$576$	−20.5890	+	12.3326i	−0.857875	+	0.513859i
$577$	−25.4955	−	14.7198i	−1.06139	−	0.612794i	−0.135574	−	0.990767i	$-0.543288\pi$
$577$	−25.4955	−	14.7198i	−1.06139	−	0.612794i	−0.925817	+	0.377973i	$0.876621\pi$
$578$	4.14050	+	23.1974i	0.172222	+	0.964886i
$579$	−11.8897	−	44.0643i	−0.494117	−	1.83125i
$580$	−10.1606	−	1.74770i	−0.421898	−	0.0725691i
$581$	3.33968	−	2.77837i	0.138553	−	0.115266i
$582$	−17.3275	−	1.44884i	−0.718250	−	0.0600562i
$583$	9.14565	+	5.28025i	0.378774	+	0.218685i
$584$	−0.0464518	−	7.38511i	−0.00192219	−	0.305598i
$585$	5.37623	−	3.12910i	0.222280	−	0.129372i
$586$	19.5226	+	23.1674i	0.806473	+	0.957034i
$587$	2.66633	+	4.61821i	0.110051	+	0.190614i	0.915791	−	0.401656i	$-0.131565\pi$
$587$	2.66633	+	4.61821i	0.110051	+	0.190614i	−0.805740	+	0.592270i	$0.798232\pi$
$588$	−19.8285	−	13.9582i	−0.817712	−	0.575627i
$589$	21.5706	−	37.3614i	0.888801	−	1.53945i
$590$	−12.7163	+	2.26973i	−0.523524	+	0.0934435i
$591$	−8.46257	−	2.25168i	−0.348103	−	0.0926217i
$592$	−9.91817	+	8.46508i	−0.407634	+	0.347913i
$593$	37.9363	−	21.9025i	1.55786	−	0.899429i	0.560396	−	0.828225i	$-0.310649\pi$
$593$	37.9363	−	21.9025i	1.55786	−	0.899429i	0.997462	−	0.0712043i	$-0.0226842\pi$
$594$	−32.0091	+	15.2133i	−1.31335	+	0.624209i
$595$	1.17581	+	0.433594i	0.0482036	+	0.0177756i
$596$	16.8282	+	14.0007i	0.689308	+	0.573490i
$597$	26.7070	−	26.8006i	1.09305	−	1.09688i
$598$	17.8161	−	15.0132i	0.728554	−	0.613937i
$599$	−19.8313	+	11.4496i	−0.810283	+	0.467817i	−0.847054	−	0.531506i	$-0.821626\pi$
$599$	−19.8313	+	11.4496i	−0.810283	+	0.467817i	0.0367710	+	0.999324i	$0.488293\pi$
$600$	−5.66207	−	20.4714i	−0.231153	−	0.835741i
$601$	−23.6446	+	13.6512i	−0.964482	+	0.556844i	−0.897549	−	0.440914i	$-0.854654\pi$
$601$	−23.6446	+	13.6512i	−0.964482	+	0.556844i	−0.0669322	+	0.997758i	$0.521321\pi$
$602$	−6.93776	−	19.1883i	−0.282762	−	0.782055i
$603$	−15.0617	+	0.0526953i	−0.613359	+	0.00214592i
$604$	0.486233	−	0.584429i	0.0197845	−	0.0237801i
$605$			9.99307i			0.406276i
$606$	13.1583	−	18.9466i	0.534519	−	0.769655i
$607$	11.7323			0.476198			0.238099	−	0.971241i	$-0.423476\pi$
$607$	11.7323			0.476198			0.238099	+	0.971241i	$0.423476\pi$
$608$	23.7354	−	8.92185i	0.962597	−	0.361829i
$609$	−26.2961	+	12.1829i	−1.06557	+	0.493677i
$610$	6.38882	−	5.38372i	0.258676	−	0.217981i
$611$	−21.1059	+	12.1855i	−0.853852	+	0.492972i
$612$	0.579024	−	3.43825i	0.0234057	−	0.138983i
$613$	−1.66771	+	2.88856i	−0.0673582	+	0.116668i	−0.897738	−	0.440531i	$-0.854790\pi$
$613$	−1.66771	+	2.88856i	−0.0673582	+	0.116668i	0.830379	+	0.557198i	$0.188124\pi$
$614$	25.8123	+	9.33368i	1.04170	+	0.376676i
$615$	3.50635	−	3.51864i	0.141390	−	0.141885i
$616$	23.2558	+	27.5992i	0.937003	+	1.11200i
$617$	14.7956	−	25.6267i	0.595648	−	1.03169i	−0.397807	−	0.917469i	$-0.630229\pi$
$617$	14.7956	−	25.6267i	0.595648	−	1.03169i	0.993455	−	0.114224i	$-0.0364381\pi$
$618$	−10.3656	−	7.19884i	−0.416966	−	0.289580i
$619$	−31.6426			−1.27182			−0.635912	−	0.771762i	$-0.719376\pi$
$619$	−31.6426			−1.27182			−0.635912	+	0.771762i	$0.719376\pi$
$620$	−15.4628	−	2.65970i	−0.621000	−	0.106816i
$621$	−23.6698	+	23.9195i	−0.949836	+	0.959858i
$622$	2.66625	+	14.9378i	0.106907	+	0.598952i
$623$	3.72645	+	4.47930i	0.149297	+	0.179459i
$624$	−9.96201	+	14.5387i	−0.398800	+	0.582012i
$625$	15.4754			0.619015
$626$	−22.2414	−	26.3937i	−0.888944	−	1.05490i
$627$	36.1512	−	9.75449i	1.44374	−	0.389557i
$628$	9.78079	+	1.68236i	0.390296	+	0.0671335i
$629$		−	1.89434i		−	0.0755325i
$630$	7.01705	+	5.87163i	0.279566	+	0.233931i
$631$			6.61866i			0.263485i	0.991284	+	0.131742i	$0.0420572\pi$
$631$			6.61866i			0.263485i	−0.991284	+	0.131742i	$0.957943\pi$
$632$	0.180426	+	28.6850i	0.00717698	+	1.14103i
$633$	31.4597	+	31.3499i	1.25041	+	1.24605i
$634$	34.7403	−	29.2749i	1.37971	−	1.16265i
$635$	0.879816			0.0349145
$636$	−7.55236	+	0.705993i	−0.299470	+	0.0279945i
$637$	−17.5096	−	3.24018i	−0.693756	−	0.128381i
$638$	42.4633	−	7.57926i	1.68114	−	0.300066i
$639$	5.42996	−	9.48142i	0.214806	−	0.375079i
$640$	−6.03077	−	6.97665i	−0.238387	−	0.275776i
$641$	30.2812			1.19604			0.598018	−	0.801483i	$-0.295955\pi$
$641$	30.2812			1.19604			0.598018	+	0.801483i	$0.295955\pi$
$642$	29.5002	+	2.46664i	1.16428	+	0.0973506i
$643$	8.34512	−	14.4542i	0.329099	−	0.570017i	−0.653234	−	0.757156i	$-0.726588\pi$
$643$	8.34512	−	14.4542i	0.329099	−	0.570017i	0.982333	+	0.187139i	$0.0599216\pi$
$644$	29.6770	+	17.1353i	1.16944	+	0.675224i
$645$	2.00562	+	7.43305i	0.0789713	+	0.292676i
$646$	−1.25267	+	3.46426i	−0.0492855	+	0.136299i
$647$	−14.3660	+	24.8826i	−0.564786	+	0.978237i	0.432284	+	0.901737i	$0.357708\pi$
$647$	−14.3660	+	24.8826i	−0.564786	+	0.978237i	−0.997070	+	0.0764997i	$0.975626\pi$
$648$	12.4339	−	22.2126i	0.488449	−	0.872592i
$649$	46.8031	−	27.0218i	1.83718	−	1.06070i
$650$	−10.0509	−	11.9273i	−0.394228	−	0.467827i
$651$	−40.0182	+	18.5404i	−1.56844	+	0.726654i
$652$	−40.9545	−	7.04444i	−1.60390	−	0.275881i
$653$	−9.26322			−0.362498			−0.181249	−	0.983437i	$-0.558014\pi$
$653$	−9.26322			−0.362498			−0.181249	+	0.983437i	$0.558014\pi$
$654$	−8.15262	+	3.83987i	−0.318793	+	0.150151i
$655$		−	7.13077i		−	0.278622i
$656$	−4.70247	+	13.2650i	−0.183601	+	0.517912i
$657$	3.94033	+	6.77005i	0.153727	+	0.264125i
$658$	−27.4109	−	23.1000i	−1.06859	−	0.900534i
$659$	0.465951	−	0.269017i	0.0181509	−	0.0104794i	−0.490897	−	0.871218i	$-0.663331\pi$
$659$	0.465951	−	0.269017i	0.0181509	−	0.0104794i	0.509048	+	0.860738i	$0.329998\pi$
$660$	−7.87705	−	11.1085i	−0.306614	−	0.432398i
$661$	20.0465	−	11.5739i	0.779719	−	0.450171i	−0.0566117	−	0.998396i	$-0.518030\pi$
$661$	20.0465	−	11.5739i	0.779719	−	0.450171i	0.836331	+	0.548225i	$0.184696\pi$
$662$	−23.8273	−	28.2757i	−0.926075	−	1.09897i
$663$	−0.667009	−	2.47201i	−0.0259045	−	0.0960047i
$664$	2.29678	−	4.03656i	0.0891322	−	0.156649i
$665$	−6.18240	−	7.43142i	−0.239743	−	0.288178i
$666$	4.65750	−	13.0226i	0.180474	−	0.504617i
$667$	35.4695	−	20.4783i	1.37339	−	0.792924i
$668$	3.86004	−	1.42330i	0.149349	−	0.0550691i
$669$	11.1026	+	41.1476i	0.429253	+	1.59086i
$670$	−1.01693	−	5.69739i	−0.0392873	−	0.220110i
$671$	−17.4773	+	30.2715i	−0.674703	+	1.16862i
$672$	−25.0926	−	6.50862i	−0.967967	−	0.251076i
$673$	−11.9724	−	20.7368i	−0.461503	−	0.799346i	0.537533	−	0.843243i	$-0.319356\pi$
$673$	−11.9724	−	20.7368i	−0.461503	−	0.799346i	−0.999036	+	0.0438961i	$0.986023\pi$
$674$	−6.26358	+	5.27818i	−0.241264	+	0.203308i
$675$	16.0134	+	15.8462i	0.616355	+	0.609920i
$676$	2.21351	−	12.8688i	0.0851350	−	0.494952i
$677$	−30.3955	−	17.5489i	−1.16819	−	0.674457i	−0.214940	−	0.976627i	$-0.568956\pi$
$677$	−30.3955	−	17.5489i	−1.16819	−	0.674457i	−0.953254	+	0.302170i	$0.902289\pi$
$678$	12.3161	−	5.80088i	0.472998	−	0.222781i
$679$	−12.0114	−	14.4381i	−0.460957	−	0.554083i
$680$	1.33971	−	0.00842668i	0.0513756	−	0.000323149i
$681$	36.7490	+	9.77800i	1.40823	+	0.374694i
$682$	64.6220	−	11.5344i	2.47450	−	0.441673i
$683$	−21.2103	−	12.2458i	−0.811591	−	0.468572i	0.0359174	−	0.999355i	$-0.488565\pi$
$683$	−21.2103	−	12.2458i	−0.811591	−	0.468572i	−0.847508	+	0.530783i	$0.821898\pi$
$684$	−17.1288	+	20.7351i	−0.654935	+	0.792826i
$685$			7.02702i			0.268488i
$686$	−4.27508	−	25.8404i	−0.163223	−	0.986589i
$687$	4.76848	−	17.9215i	0.181929	−	0.683749i
$688$	−14.1606	−	16.5914i	−0.539868	−	0.632540i
$689$	−4.82394	+	2.78510i	−0.183778	+	0.106104i
$690$	−10.6204	−	7.37576i	−0.404311	−	0.280790i
$691$	8.60329	−	14.9013i	0.327285	−	0.566874i	−0.654687	−	0.755900i	$-0.727200\pi$
$691$	8.60329	−	14.9013i	0.327285	−	0.566874i	0.981972	+	0.189026i	$0.0605331\pi$
$692$	9.98157	+	27.0704i	0.379443	+	1.02906i
$693$	−35.9620	−	13.1187i	−1.36608	−	0.498337i
$694$	−20.7505	+	3.70374i	−0.787677	+	0.140592i
$695$	−6.55141	−	3.78246i	−0.248509	−	0.143477i
$696$	−21.7309	+	22.0831i	−0.823706	+	0.837058i
$697$	−1.02231	−	1.77069i	−0.0387228	−	0.0670699i
$698$	3.61593	−	0.645406i	0.136865	−	0.0244290i
$699$	1.95937	+	7.26162i	0.0741101	+	0.274660i
$700$	11.4715	−	19.8678i	0.433583	−	0.750934i
$701$	3.54331			0.133829			0.0669145	−	0.997759i	$-0.478685\pi$
$701$	3.54331			0.133829			0.0669145	+	0.997759i	$0.478685\pi$
$702$	1.49242	−	18.6337i	0.0563277	−	0.703283i
$703$	−7.30617	+	12.6547i	−0.275557	+	0.477279i
$704$	33.6536	+	18.8695i	1.26837	+	0.711171i
$705$	9.58082	+	9.54736i	0.360835	+	0.359575i
$706$	−6.47661	+	17.9111i	−0.243751	+	0.674093i
$707$	24.5554	−	4.22291i	0.923502	−	0.158819i
$708$	−16.1958	+	35.2778i	−0.608675	+	1.32582i
$709$	1.50550	−	2.60760i	0.0565401	−	0.0979304i	−0.836370	−	0.548165i	$-0.815326\pi$
$709$	1.50550	−	2.60760i	0.0565401	−	0.0979304i	0.892910	+	0.450235i	$0.148660\pi$
$710$	3.94817	+	1.42765i	0.148172	+	0.0535787i
$711$	−15.3049	−	26.2960i	−0.573979	−	0.986177i
$712$	5.41397	+	3.08052i	0.202897	+	0.115447i
$713$	53.9786	−	31.1646i	2.02152	−	1.16712i
$714$	3.08577	−	2.15894i	0.115482	−	0.0807962i
$715$	−8.66044	−	5.00011i	−0.323882	−	0.186993i
$716$	2.67839	+	7.26391i	0.100096	+	0.271465i
$717$	−12.9997	−	12.9543i	−0.485482	−	0.483787i
$718$	−25.2862	+	4.51332i	−0.943671	+	0.168436i
$719$	8.34116	+	14.4473i	0.311073	+	0.538794i	0.978595	−	0.205796i	$-0.0659784\pi$
$719$	8.34116	+	14.4473i	0.311073	+	0.538794i	−0.667522	+	0.744590i	$0.732645\pi$
$720$	9.23055	+	3.23593i	0.344002	+	0.120596i
$721$	−2.31033	−	13.4342i	−0.0860413	−	0.500314i
$722$	1.18175	−	0.995833i	0.0439800	−	0.0370611i
$723$	3.03893	−	11.4213i	0.113019	−	0.424764i
$724$	−31.8078	+	38.2314i	−1.18213	+	1.42086i
$725$	−13.7096	−	23.7457i	−0.509162	−	0.881894i
$726$	24.6654	+	17.1299i	0.915418	+	0.635750i
$727$	−18.9577	−	32.8358i	−0.703104	−	1.21781i	−0.967372	−	0.253362i	$-0.918464\pi$
$727$	−18.9577	−	32.8358i	−0.703104	−	1.21781i	0.264268	−	0.964449i	$-0.414870\pi$
$728$	−18.7403	+	3.34435i	−0.694562	+	0.123950i
$729$	0.283383	+	26.9985i	0.0104957	+	0.999945i
$730$	−2.30166	+	1.93956i	−0.0851881	+	0.0717862i
$731$	3.16891			0.117206
$732$	−2.33679	−	24.9978i	−0.0863704	−	0.923946i
$733$		−	23.5357i		−	0.869311i	−0.900597	−	0.434655i	$-0.856870\pi$
$733$		−	23.5357i		−	0.869311i	0.900597	−	0.434655i	$-0.143130\pi$
$734$	14.8603	+	5.37344i	0.548502	+	0.198337i
$735$	0.795360	+	9.85063i	0.0293373	+	0.363346i
$736$	36.1429	+	5.98301i	1.33225	+	0.220537i
$737$	12.1068	+	20.9695i	0.445958	+	0.772422i
$738$	−2.67437	−	14.6861i	−0.0984448	−	0.540603i
$739$	24.3790	+	14.0752i	0.896797	+	0.517766i	0.876160	−	0.482021i	$-0.160097\pi$
$739$	24.3790	+	14.0752i	0.896797	+	0.517766i	0.0206373	+	0.999787i	$0.493430\pi$
$740$	5.23739	+	0.900865i	0.192530	+	0.0331165i
$741$	−5.07834	+	19.0861i	−0.186557	+	0.701145i
$742$	−6.26502	−	5.27973i	−0.229996	−	0.193825i
$743$	43.7349	+	25.2504i	1.60448	+	0.926347i	0.990576	+	0.136966i	$0.0437350\pi$
$743$	43.7349	+	25.2504i	1.60448	+	0.926347i	0.613904	+	0.789381i	$0.289598\pi$
$744$	−33.0707	+	33.6068i	−1.21243	+	1.23208i
$745$		−	8.92170i		−	0.326866i
$746$	40.9653	+	14.8130i	1.49985	+	0.542341i
$747$	0.0172340	+	4.92593i	0.000630559	+	0.180230i
$748$	−5.25909	+	1.93916i	−0.192291	+	0.0709029i
$749$	20.4495	+	24.5809i	0.747208	+	0.898165i
$750$	−10.6324	+	15.3096i	−0.388239	+	0.559027i
$751$		−	4.07788i		−	0.148804i	−0.997228	−	0.0744020i	$-0.976295\pi$
$751$		−	4.07788i		−	0.148804i	0.997228	−	0.0744020i	$-0.0237048\pi$
$752$	−36.1191	−	12.8043i	−1.31713	−	0.466924i
$753$	16.5010	+	4.39051i	0.601330	+	0.159999i
$754$	−7.73665	+	21.3957i	−0.281752	+	0.779187i
$755$	−0.309844			−0.0112764
$756$	26.5211	−	7.25480i	0.964562	−	0.263855i
$757$	−6.31380			−0.229479			−0.114739	−	0.993396i	$-0.536603\pi$
$757$	−6.31380			−0.229479			−0.114739	+	0.993396i	$0.536603\pi$
$758$	−2.66822	+	7.37898i	−0.0969142	+	0.268017i
$759$	52.2792	+	13.9102i	1.89761	+	0.504908i
$760$	−8.98209	−	5.11076i	−0.325815	−	0.185387i
$761$		−	17.7730i		−	0.644272i	−0.946693	−	0.322136i	$-0.895599\pi$
$761$		−	17.7730i		−	0.644272i	0.946693	−	0.322136i	$-0.104401\pi$
$762$	1.50816	−	2.17160i	0.0546349	−	0.0786689i
$763$	−9.13254	−	3.36773i	−0.330620	−	0.121920i
$764$	−12.8239	−	34.7789i	−0.463952	−	1.25826i
$765$	−1.22814	+	0.714805i	−0.0444033	+	0.0258438i
$766$	11.4553	+	4.14222i	0.413898	+	0.149664i
$767$			28.5057i			1.02928i
$768$	−27.5579	+	2.92624i	−0.994410	+	0.105591i
$769$	21.8160	+	12.5955i	0.786706	+	0.454205i	0.838801	−	0.544437i	$-0.183257\pi$
$769$	21.8160	+	12.5955i	0.786706	+	0.454205i	−0.0520959	+	0.998642i	$0.516590\pi$
$770$	2.58500	−	14.4801i	0.0931571	−	0.521826i
$771$	6.09568	−	22.9096i	0.219531	−	0.825070i
$772$	8.93368	−	51.9380i	0.321530	−	1.86929i
$773$	35.8079	+	20.6737i	1.28792	+	0.743582i	0.978283	−	0.207272i	$-0.0664585\pi$
$773$	35.8079	+	20.6737i	1.28792	+	0.743582i	0.309639	+	0.950854i	$0.399792\pi$
$774$	21.7846	+	7.79118i	0.783031	+	0.280048i
$775$	−20.8637	−	36.1370i	−0.749446	−	1.29808i
$776$	−17.4508	−	9.92941i	−0.626448	−	0.356445i
$777$	13.5545	−	6.27979i	0.486266	−	0.225286i
$778$	−4.63001	−	1.67420i	−0.165994	−	0.0600230i
$779$			15.7715i			0.565074i
$780$	7.15168	−	0.668538i	0.256071	−	0.0239375i
$781$	−17.5651			−0.628529
$782$	−4.06987	+	3.42960i	−0.145538	+	0.122642i
$783$	8.33850	−	31.7860i	0.297994	−	1.13594i
$784$	−13.9985	−	24.2496i	−0.499946	−	0.866056i
$785$	−2.02238	−	3.50286i	−0.0721817	−	0.125022i
$786$	−17.6005	−	12.2234i	−0.627789	−	0.435994i
$787$	9.74425	+	16.8775i	0.347345	+	0.601619i	0.985777	−	0.168059i	$-0.0537500\pi$
$787$	9.74425	+	16.8775i	0.347345	+	0.601619i	−0.638432	+	0.769678i	$0.720417\pi$
$788$	−7.77321	−	6.46715i	−0.276909	−	0.230383i
$789$	6.94826	−	26.1139i	0.247364	−	0.929679i
$790$	8.94002	−	7.53356i	0.318071	−	0.268032i
$791$	13.7965	+	5.08761i	0.490547	+	0.180895i
$792$	−40.9212	+	0.400568i	−1.45407	+	0.0142336i
$793$	−9.21852	−	15.9669i	−0.327359	−	0.567003i
$794$	25.0765	−	4.47590i	0.889933	−	0.158844i
$795$	2.18979	+	2.18214i	0.0776637	+	0.0773925i
$796$	40.9911	−	15.1145i	1.45289	−	0.535719i
$797$	19.1331	+	11.0465i	0.677729	+	0.391287i	0.798999	−	0.601333i	$-0.205363\pi$
$797$	19.1331	+	11.0465i	0.677729	+	0.391287i	−0.121270	+	0.992620i	$0.538697\pi$
$798$	−28.9403	+	2.52092i	−1.02448	+	0.0892394i
$799$	4.82139	−	2.78363i	0.170568	−	0.0984778i
$800$	4.00544	−	24.1965i	0.141614	−	0.855477i
$801$	−6.60683	+	0.0231149i	−0.233441	+	0.000816723i
$802$	−19.0256	−	6.87962i	−0.671818	−	0.242928i
$803$	6.29642	−	10.9057i	0.222196	−	0.384854i
$804$	−15.8058	−	7.25631i	−0.557426	−	0.255910i
$805$	−2.36711	−	13.7643i	−0.0834298	−	0.485129i
$806$	−11.7739	+	32.5607i	−0.414717	+	1.14690i
$807$	26.2478	+	26.1561i	0.923965	+	0.920738i
$808$	22.9834	−	13.4629i	0.808553	−	0.473624i
$809$	−3.36792	+	5.83340i	−0.118410	+	0.205091i	−0.919138	−	0.393937i	$-0.871113\pi$
$809$	−3.36792	+	5.83340i	−0.118410	+	0.205091i	0.800728	+	0.599028i	$0.204446\pi$
$810$	−10.2002	+	1.89438i	−0.358400	+	0.0665616i
$811$	−52.9099			−1.85792			−0.928960	−	0.370181i	$-0.879296\pi$
$811$	−52.9099			−1.85792			−0.928960	+	0.370181i	$0.879296\pi$
$812$	−33.4646	−	0.00103780i	−1.17438	−	3.64195e-5i
$813$	1.22930	+	4.55591i	0.0431133	+	0.159783i
$814$	−21.8881	+	3.90679i	−0.767177	+	0.136933i
$815$	8.46816	+	14.6673i	0.296627	+	0.513772i
$816$	2.27570	−	3.32119i	0.0796656	−	0.116265i
$817$	−21.1690	−	12.2219i	−0.740611	−	0.427592i
$818$	54.5359	−	9.73409i	1.90680	−	0.340344i
$819$	15.4767	−	12.9674i	0.540800	−	0.453117i
$820$	5.38170	−	1.98437i	0.187937	−	0.0692973i
$821$	−5.94412	+	10.2955i	−0.207451	+	0.359316i	−0.950911	−	0.309465i	$-0.899850\pi$
$821$	−5.94412	+	10.2955i	−0.207451	+	0.359316i	0.743460	+	0.668781i	$0.233184\pi$
$822$	17.3444	+	12.0455i	0.604956	+	0.420137i
$823$	24.1063	−	13.9178i	0.840293	−	0.485143i	−0.0170709	−	0.999854i	$-0.505434\pi$
$823$	24.1063	−	13.9178i	0.840293	−	0.485143i	0.857364	+	0.514711i	$0.172101\pi$
$824$	−7.36551	−	12.5741i	−0.256590	−	0.438040i
$825$	9.31243	−	34.9993i	0.324217	−	1.21852i
$826$	−39.4299	+	14.2564i	−1.37194	+	0.496043i
$827$		−	30.7186i		−	1.06819i	−0.845424	−	0.534095i	$-0.820652\pi$
$827$		−	30.7186i		−	1.06819i	0.845424	−	0.534095i	$-0.179348\pi$
$828$	−36.4104	+	13.5704i	−1.26535	+	0.471602i
$829$	11.1106	+	6.41474i	0.385889	+	0.222793i	0.680377	−	0.732862i	$-0.261816\pi$
$829$	11.1106	+	6.41474i	0.385889	+	0.222793i	−0.294488	+	0.955655i	$0.595149\pi$
$830$	−1.86333	+	0.332586i	−0.0646773	+	0.0115442i
$831$	19.0663	+	5.07306i	0.661402	+	0.175983i
$832$	−17.4949	+	10.3963i	−0.606525	+	0.360426i
$833$	3.99987	+	0.740181i	0.138587	+	0.0256457i
$834$	−20.5663	+	9.68670i	−0.712153	+	0.335423i
$835$	−1.45208	−	0.838358i	−0.0502513	−	0.0290126i
$836$	42.6109	+	7.32936i	1.47373	+	0.253491i
$837$	12.6898	−	48.3729i	0.438623	−	1.67201i
$838$	−24.5493	+	20.6872i	−0.848042	+	0.714627i
$839$	−1.26520	−	2.19139i	−0.0436795	−	0.0756551i	0.843359	−	0.537350i	$-0.180575\pi$
$839$	−1.26520	−	2.19139i	−0.0436795	−	0.0756551i	−0.887039	+	0.461695i	$0.847241\pi$
$840$	4.50147	+	9.55807i	0.155316	+	0.329785i
$841$	−5.49779	+	9.52246i	−0.189579	+	0.328361i
$842$	0.463076	+	2.59442i	0.0159587	+	0.0894094i
$843$	−14.0008	−	51.8885i	−0.482213	−	1.78713i
$844$	17.7420	+	48.1171i	0.610707	+	1.65626i
$845$	−4.60877	+	2.66087i	−0.158546	+	0.0915368i
$846$	39.9885	−	7.28198i	1.37483	−	0.250360i
$847$	5.49752	+	31.9671i	0.188897	+	1.09840i
$848$	−8.25535	−	2.92653i	−0.283490	−	0.100498i
$849$	1.82995	+	6.78197i	0.0628036	+	0.232757i
$850$	2.29601	+	2.72465i	0.0787524	+	0.0934548i
$851$	−18.2831	+	10.5557i	−0.626736	+	0.361846i
$852$	10.2916	−	7.29781i	0.352586	−	0.250019i
$853$	15.4010	−	8.89177i	0.527320	−	0.304448i	−0.212605	−	0.977138i	$-0.568195\pi$
$853$	15.4010	−	8.89177i	0.527320	−	0.304448i	0.739924	+	0.672690i	$0.234861\pi$
$854$	17.4756	−	20.7368i	0.598002	−	0.709599i
$855$	10.9611	−	0.0383489i	0.374862	−	0.00131150i
$856$	29.7100	+	16.9048i	1.01547	+	0.577795i
$857$		−	23.9404i		−	0.817787i	−0.912582	−	0.408894i	$-0.865915\pi$
$857$		−	23.9404i		−	0.817787i	0.912582	−	0.408894i	$-0.134085\pi$
$858$	−27.1870	+	12.8050i	−0.928149	+	0.437157i
$859$	−46.6964			−1.59326			−0.796629	−	0.604468i	$-0.793386\pi$
$859$	−46.6964			−1.59326			−0.796629	+	0.604468i	$0.793386\pi$
$860$	−1.50699	+	8.76124i	−0.0513880	+	0.298756i
$861$	9.28081	−	13.1848i	0.316289	−	0.449337i
$862$	−3.98284	−	4.72641i	−0.135656	−	0.160982i
$863$	34.3329	−	19.8221i	1.16870	−	0.674752i	0.215330	−	0.976541i	$-0.430917\pi$
$863$	34.3329	−	19.8221i	1.16870	−	0.674752i	0.953375	+	0.301789i	$0.0975840\pi$
$864$	23.8099	−	17.2363i	0.810028	−	0.586391i
$865$	5.87940	−	10.1834i	0.199905	−	0.346246i
$866$	−4.70455	+	13.0104i	−0.159867	+	0.442113i
$867$	−7.51826	−	27.8635i	−0.255334	−	0.946293i
$868$	−50.9274	−	0.00157935i	−1.72859	−	5.36066e-5i
$869$	−24.4563	+	42.3596i	−0.829624	+	1.43695i
$870$	12.5830	+	1.05212i	0.426605	+	0.0356704i
$871$	−12.7716			−0.432749
$872$	−10.4056	+	0.0654501i	−0.352376	+	0.00221642i
$873$	21.2957	−	0.0745059i	0.720752	−	0.00252164i
$874$	40.4151	−	7.21367i	1.36706	−	0.244006i
$875$	−19.8417	+	3.41226i	−0.670771	+	0.115356i
$876$	0.841860	+	9.00579i	0.0284438	+	0.304278i
$877$	30.1854			1.01929			0.509644	−	0.860385i	$-0.329777\pi$
$877$	30.1854			1.01929			0.509644	+	0.860385i	$0.329777\pi$
$878$	−0.416514	+	0.350988i	−0.0140567	+	0.0118453i
$879$	−26.2831	−	26.1913i	−0.886508	−	0.883412i
$880$	−2.86032	−	15.4622i	−0.0964213	−	0.521232i
$881$			15.0652i			0.507560i	0.967262	+	0.253780i	$0.0816739\pi$
$881$			15.0652i			0.507560i	−0.967262	+	0.253780i	$0.918326\pi$
$882$	25.6772	+	14.9226i	0.864595	+	0.502469i
$883$		−	16.1352i		−	0.542993i	−0.962439	−	0.271497i	$-0.912481\pi$
$883$		−	16.1352i		−	0.542993i	0.962439	−	0.271497i	$-0.0875186\pi$
$884$	0.501179	−	2.91372i	0.0168565	−	0.0979990i
$885$	15.2742	−	4.12135i	0.513435	−	0.138538i
$886$	−14.7569	−	17.5120i	−0.495769	−	0.588326i
$887$	21.9524			0.737090			0.368545	−	0.929610i	$-0.379856\pi$
$887$	21.9524			0.737090			0.368545	+	0.929610i	$0.379856\pi$
$888$	11.2014	−	11.3829i	0.375893	−	0.381986i
$889$	2.81446	−	0.484016i	0.0943941	−	0.0162334i
$890$	−0.446076	−	2.49917i	−0.0149525	−	0.0837724i
$891$	37.4375	−	21.9653i	1.25420	−	0.735864i
$892$	−8.34234	+	48.5001i	−0.279322	+	1.62390i
$893$	−42.9440			−1.43707
$894$	−22.0209	−	15.2934i	−0.736491	−	0.511486i
$895$	1.57764	−	2.73255i	0.0527347	−	0.0913392i
$896$	−23.1301	−	19.0000i	−0.772721	−	0.634746i
$897$	−20.1416	+	20.2122i	−0.672508	+	0.674865i
$898$	44.2019	+	15.9833i	1.47504	+	0.533369i
$899$	−30.4333	+	52.7120i	−1.01501	+	1.75804i
$900$	9.08493	+	24.3756i	0.302831	+	0.812520i
$901$	1.10197	−	0.636224i	0.0367120	−	0.0211957i
$902$	−18.3510	+	15.4640i	−0.611022	+	0.514895i
$903$	10.5050	+	22.6744i	0.349584	+	0.754556i
$904$	15.7196	−	0.0988751i	0.522827	−	0.00328854i
$905$	20.2690			0.673763
$906$	−0.531126	+	0.764770i	−0.0176455	+	0.0254078i
$907$		−	20.3672i		−	0.676280i	−0.941096	−	0.338140i	$-0.890202\pi$
$907$		−	20.3672i		−	0.676280i	0.941096	−	0.338140i	$-0.109798\pi$
$908$	33.7555	+	28.0838i	1.12021	+	0.931995i
$909$	−14.0403	+	24.5162i	−0.465687	+	0.813151i
$910$	5.93263	+	4.99962i	0.196665	+	0.165736i
$911$	−12.6090	+	7.27984i	−0.417756	+	0.241192i	−0.694117	−	0.719862i	$-0.744205\pi$
$911$	−12.6090	+	7.27984i	−0.417756	+	0.241192i	0.276361	+	0.961054i	$0.410872\pi$
$912$	−28.0115	+	13.4093i	−0.927553	+	0.444026i
$913$	6.85809	−	3.95952i	0.226970	−	0.131041i
$914$	−5.98970	+	5.04739i	−0.198122	+	0.166953i
$915$	−7.22274	+	7.24805i	−0.238776	+	0.239613i
$916$	13.6958	−	16.4617i	0.452520	−	0.543909i
$917$	−3.92287	−	22.8108i	−0.129545	−	0.753278i
$918$	−0.340925	+	4.25664i	−0.0112522	+	0.140490i
$919$	−9.46004	+	5.46176i	−0.312058	+	0.180167i	−0.647847	−	0.761770i	$-0.724330\pi$
$919$	−9.46004	+	5.46176i	−0.312058	+	0.180167i	0.335789	+	0.941937i	$0.390997\pi$
$920$	−7.54653	−	12.8831i	−0.248802	−	0.424745i
$921$	−32.4865	−	8.64386i	−1.07047	−	0.284825i
$922$	−8.60070	+	1.53514i	−0.283249	+	0.0505570i
$923$	4.63242	−	8.02359i	0.152478	−	0.264100i
$924$	−31.3092	−	31.2018i	−1.03000	−	1.02646i
$925$	7.06673	+	12.2399i	0.232353	+	0.402447i
$926$	−10.7154	−	12.7159i	−0.352131	−	0.417871i
$927$	13.4127	+	7.68138i	0.440531	+	0.252290i
$928$	−33.4875	+	12.5875i	−1.09928	+	0.413206i
$929$	31.8073	+	18.3640i	1.04357	+	0.602503i	0.920841	−	0.389938i	$-0.127504\pi$
$929$	31.8073	+	18.3640i	1.04357	+	0.602503i	0.122724	+	0.992441i	$0.460837\pi$
$930$	19.1492	+	1.60116i	0.627928	+	0.0525040i
$931$	−23.8653	−	20.3714i	−0.782153	−	0.667645i
$932$	−1.47224	+	8.55918i	−0.0482247	+	0.280365i
$933$	−4.84133	−	17.9425i	−0.158498	−	0.587411i
$934$	6.89401	+	38.6241i	0.225579	+	1.26382i
$935$	1.97838	+	1.14222i	0.0646998	+	0.0373544i
$936$	10.6091	−	18.7981i	0.346770	−	0.614435i
$937$			9.07200i			0.296369i	0.988960	+	0.148185i	$0.0473430\pi$
$937$			9.07200i			0.296369i	−0.988960	+	0.148185i	$0.952657\pi$
$938$	−6.38739	−	17.6661i	−0.208556	−	0.576818i
$939$	29.9433	+	29.8388i	0.977164	+	0.973752i
$940$	5.40321	+	14.6537i	0.176233	+	0.477951i
$941$	−8.03035	+	4.63632i	−0.261782	+	0.151140i	−0.625147	−	0.780507i	$-0.714961\pi$
$941$	−8.03035	+	4.63632i	−0.261782	+	0.151140i	0.363365	+	0.931647i	$0.381628\pi$
$942$	−12.1126	−	1.01279i	−0.394651	−	0.0329985i
$943$	−11.3931	+	19.7335i	−0.371011	+	0.642610i
$944$	−34.0936	+	29.0986i	−1.10965	+	0.947079i
$945$	−9.18592	−	6.41805i	−0.298818	−	0.208779i
$946$	−6.53538	−	36.6149i	−0.212484	−	1.19045i
$947$	2.85766	+	1.64987i	0.0928616	+	0.0536137i	0.545712	−	0.837973i	$-0.316259\pi$
$947$	2.85766	+	1.64987i	0.0928616	+	0.0536137i	−0.452850	+	0.891587i	$0.649593\pi$
$948$	−3.26993	−	34.9800i	−0.106202	−	1.13610i
$949$	3.32109	+	5.75230i	0.107807	+	0.186728i
$950$	−4.82932	−	27.0566i	−0.156684	−	0.877832i
$951$	−39.2748	+	39.4125i	−1.27357	+	1.27804i
$952$	4.28100	−	0.763977i	0.138748	−	0.0247606i
$953$	−16.0636			−0.520349			−0.260175	−	0.965562i	$-0.583780\pi$
$953$	−16.0636			−0.520349			−0.260175	+	0.965562i	$0.583780\pi$
$954$	9.13973	−	1.66436i	0.295910	−	0.0538857i
$955$	−7.55359	+	13.0832i	−0.244428	+	0.423362i
$956$	−7.33131	−	19.8828i	−0.237111	−	0.643056i
$957$	−51.0046	+	13.7623i	−1.64874	+	0.444872i
$958$	9.50959	+	3.43865i	0.307241	+	0.111098i
$959$	3.86580	+	22.4789i	0.124833	+	0.725881i
$960$	8.10003	+	7.87116i	0.261427	+	0.254041i
$961$	−30.8143	+	53.3719i	−0.994010	+	1.72168i
$962$	3.98792	−	11.0286i	0.128576	−	0.355577i
$963$	−36.2560	+	0.126846i	−1.16833	+	0.00408757i
$964$	8.72825	−	10.4910i	0.281118	−	0.337891i
$965$	−18.6009	+	10.7392i	−0.598784	+	0.345708i
$966$	−38.0314	−	17.7519i	−1.22364	−	0.571156i
$967$	−13.4318	−	7.75487i	−0.431938	−	0.249380i	0.268234	−	0.963354i	$-0.413560\pi$
$967$	−13.4318	−	7.75487i	−0.431938	−	0.249380i	−0.700172	+	0.713974i	$0.746893\pi$
$968$	17.5265	+	29.9206i	0.563323	+	0.961683i
$969$	1.16009	−	4.35999i	0.0372673	−	0.140063i
$970$	1.43783	+	8.05556i	0.0461660	+	0.258648i
$971$	−15.4979	−	26.8432i	−0.497352	−	0.861439i	0.502643	−	0.864494i	$-0.332361\pi$
$971$	−15.4979	−	26.8432i	−0.497352	−	0.861439i	−0.999995	+	0.00305480i	$0.999028\pi$
$972$	−12.8092	+	28.4240i	−0.410856	+	0.911700i
$973$	−23.0383	−	8.49564i	−0.738574	−	0.272358i
$974$	7.02397	+	8.33529i	0.225063	+	0.267080i
$975$	13.5314	+	13.4841i	0.433352	+	0.431838i
$976$	9.68664	−	27.3247i	0.310062	−	0.874642i
$977$	−17.0004	−	29.4456i	−0.543891	−	0.942048i	−0.998676	−	0.0514460i	$-0.983617\pi$
$977$	−17.0004	−	29.4456i	−0.543891	−	0.942048i	0.454784	−	0.890602i	$-0.349716\pi$
$978$	50.7184	+	4.24080i	1.62179	+	0.135606i
$979$	5.31065	+	9.19831i	0.169729	+	0.293979i
$980$	−3.94857	+	10.7066i	−0.126133	+	0.342011i
$981$	9.53893	−	5.55189i	0.304555	−	0.177258i
$982$	23.5471	+	27.9431i	0.751417	+	0.891701i
$983$	−34.5769			−1.10283			−0.551416	−	0.834230i	$-0.685912\pi$
$983$	−34.5769			−1.10283			−0.551416	+	0.834230i	$0.685912\pi$
$984$	4.32725	−	16.6849i	0.137948	−	0.531896i
$985$			4.12108i			0.131309i
$986$	1.76735	−	4.88761i	0.0562838	−	0.155653i
$987$	35.9006	+	25.2705i	1.14273	+	0.804370i
$988$	−14.5857	+	17.5314i	−0.464034	+	0.557747i
$989$	−17.6579	−	30.5844i	−0.561489	−	0.972527i
$990$	10.7920	+	12.7162i	0.342993	+	0.404149i
$991$	46.4705	+	26.8297i	1.47618	+	0.852275i	0.999639	−	0.0268752i	$-0.00855567\pi$
$991$	46.4705	+	26.8297i	1.47618	+	0.852275i	0.476545	+	0.879150i	$0.341889\pi$
$992$	−50.9623	+	19.1561i	−1.61806	+	0.608208i
$993$	32.0785	+	31.9664i	1.01798	+	1.01442i
$994$	13.4153	+	2.39492i	0.425507	+	0.0759621i
$995$	−15.4201	−	8.90281i	−0.488851	−	0.282238i
$996$	−2.37318	+	5.16928i	−0.0751971	+	0.163795i
$997$			44.0629i			1.39548i	0.716349	+	0.697742i	$0.245812\pi$
$997$			44.0629i			1.39548i	−0.716349	+	0.697742i	$0.754188\pi$
$998$	−17.8959	+	49.4913i	−0.566486	+	1.56662i
$999$	−4.29815	+	16.3844i	−0.135987	+	0.518379i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.6	✓	84
3.2	odd	2		756.2.n.b.199.37		84
4.3	odd	2	inner	252.2.n.b.31.34	yes	84
7.5	odd	6		252.2.bj.b.103.24	yes	84
9.2	odd	6		756.2.bj.b.451.19		84
9.7	even	3		252.2.bj.b.115.24	yes	84
12.11	even	2		756.2.n.b.199.9		84
21.5	even	6		756.2.bj.b.523.19		84
28.19	even	6		252.2.bj.b.103.23	yes	84
36.7	odd	6		252.2.bj.b.115.23	yes	84
36.11	even	6		756.2.bj.b.451.20		84
63.47	even	6		756.2.n.b.19.9		84
63.61	odd	6	inner	252.2.n.b.187.34	yes	84
84.47	odd	6		756.2.bj.b.523.20		84
252.47	odd	6		756.2.n.b.19.37		84
252.187	even	6	inner	252.2.n.b.187.6	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.6	✓	84	1.1	even	1	trivial
252.2.n.b.31.34	yes	84	4.3	odd	2	inner
252.2.n.b.187.6	yes	84	252.187	even	6	inner
252.2.n.b.187.34	yes	84	63.61	odd	6	inner
252.2.bj.b.103.23	yes	84	28.19	even	6
252.2.bj.b.103.24	yes	84	7.5	odd	6
252.2.bj.b.115.23	yes	84	36.7	odd	6
252.2.bj.b.115.24	yes	84	9.7	even	3
756.2.n.b.19.9		84	63.47	even	6
756.2.n.b.19.37		84	252.47	odd	6
756.2.n.b.199.9		84	12.11	even	2
756.2.n.b.199.37		84	3.2	odd	2
756.2.bj.b.451.19		84	9.2	odd	6
756.2.bj.b.451.20		84	36.11	even	6
756.2.bj.b.523.19		84	21.5	even	6
756.2.bj.b.523.20		84	84.47	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.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.32994 - 0.480902i) q^{2} +(1.67381 + 0.445360i) q^{3} +(1.53747 + 1.27914i) q^{4} -0.815110i q^{5} +(-2.01189 - 1.39724i) q^{6} +(-0.448419 - 2.60747i) q^{7} +(-1.42959 - 2.44055i) q^{8} +(2.60331 + 1.49090i) q^{9} +O(q^{10})\)	\(q+(-1.32994 - 0.480902i) q^{2} +(1.67381 + 0.445360i) q^{3} +(1.53747 + 1.27914i) q^{4} -0.815110i q^{5} +(-2.01189 - 1.39724i) q^{6} +(-0.448419 - 2.60747i) q^{7} +(-1.42959 - 2.44055i) q^{8} +(2.60331 + 1.49090i) q^{9} +(-0.391988 + 1.08405i) q^{10} -4.82284i q^{11} +(2.00375 + 2.82577i) q^{12} +(2.20303 + 1.27192i) q^{13} +(-0.657570 + 3.68342i) q^{14} +(0.363018 - 1.36434i) q^{15} +(0.727604 + 3.93327i) q^{16} +(-0.503257 - 0.290555i) q^{17} +(-2.74526 - 3.23474i) q^{18} +(2.24125 + 3.88195i) q^{19} +(1.04264 - 1.25320i) q^{20} +(0.410695 - 4.56414i) q^{21} +(-2.31931 + 6.41407i) q^{22} +6.47618i q^{23} +(-1.30595 - 4.72170i) q^{24} +4.33560 q^{25} +(-2.31822 - 2.75102i) q^{26} +(3.69347 + 3.65490i) q^{27} +(2.64589 - 4.58249i) q^{28} +(-3.16210 - 5.47692i) q^{29} +(-1.13891 + 1.63991i) q^{30} +(-4.81219 - 8.33495i) q^{31} +(0.923849 - 5.58091i) q^{32} +(2.14790 - 8.07254i) q^{33} +(0.529571 + 0.628438i) q^{34} +(-2.12538 + 0.365511i) q^{35} +(2.09543 + 5.62220i) q^{36} +(1.62993 + 2.82313i) q^{37} +(-1.11388 - 6.24058i) q^{38} +(3.12100 + 3.11010i) q^{39} +(-1.98931 + 1.16528i) q^{40} +(3.04709 + 1.75924i) q^{41} +(-2.74110 + 5.87251i) q^{42} +(-4.72260 + 2.72659i) q^{43} +(6.16908 - 7.41495i) q^{44} +(1.21525 - 2.12198i) q^{45} +(3.11441 - 8.61291i) q^{46} +(-4.79019 + 8.29685i) q^{47} +(-0.533848 + 6.90760i) q^{48} +(-6.59784 + 2.33848i) q^{49} +(-5.76607 - 2.08500i) q^{50} +(-0.712957 - 0.710466i) q^{51} +(1.76012 + 4.77352i) q^{52} +(-1.09484 + 1.89632i) q^{53} +(-3.15443 - 6.63699i) q^{54} -3.93115 q^{55} +(-5.72260 + 4.82201i) q^{56} +(2.02256 + 7.49583i) q^{57} +(1.57153 + 8.80463i) q^{58} +(5.60288 + 9.70447i) q^{59} +(2.30331 - 1.63328i) q^{60} +(-6.27670 - 3.62386i) q^{61} +(2.39161 + 13.3992i) q^{62} +(2.72011 - 7.45661i) q^{63} +(-3.91253 + 6.97797i) q^{64} +(1.03676 - 1.79571i) q^{65} +(-6.73868 + 9.70304i) q^{66} +(-4.34796 + 2.51030i) q^{67} +(-0.402079 - 1.09045i) q^{68} +(-2.88423 + 10.8399i) q^{69} +(3.00240 + 0.535992i) q^{70} -3.64207i q^{71} +(-0.0830564 - 8.48487i) q^{72} +(2.26126 + 1.30554i) q^{73} +(-0.810061 - 4.53842i) q^{74} +(7.25698 + 1.93090i) q^{75} +(-1.51972 + 8.83524i) q^{76} +(-12.5754 + 2.16265i) q^{77} +(-2.65508 - 5.63714i) q^{78} +(-8.78313 - 5.07094i) q^{79} +(3.20605 - 0.593077i) q^{80} +(4.55443 + 7.76255i) q^{81} +(-3.20641 - 3.80502i) q^{82} +(0.820993 + 1.42200i) q^{83} +(6.46960 - 6.49187i) q^{84} +(-0.236835 + 0.410210i) q^{85} +(7.59199 - 1.35509i) q^{86} +(-2.85357 - 10.5756i) q^{87} +(-11.7704 + 6.89469i) q^{88} +(-1.90724 + 1.10115i) q^{89} +(-2.63667 + 2.23769i) q^{90} +(2.32862 - 6.31470i) q^{91} +(-8.28393 + 9.95690i) q^{92} +(-4.34265 - 16.0943i) q^{93} +(10.3606 - 8.73068i) q^{94} +(3.16422 - 1.82686i) q^{95} +(4.03187 - 8.92995i) q^{96} +(6.14759 - 3.54931i) q^{97} +(9.89930 + 0.0628798i) q^{98} +(7.19038 - 12.5553i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Introduction

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