LMFDB - Embedded newform 504.2.cq.a.277.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(277,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))

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

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

chi := DirichletCharacter("504.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cq (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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			277.14
Character	$\chi$	$=$	504.277
Dual form			504.2.cq.a.373.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.27676 + 0.608187i) q^{2} +(1.55038 + 0.772217i) q^{3} +(1.26022 - 1.55302i) q^{4} +(-2.14506 - 1.23845i) q^{5} +(-2.44911 - 0.0430112i) q^{6} +(-2.51672 - 0.816158i) q^{7} +(-0.664465 + 2.74927i) q^{8} +(1.80736 + 2.39446i) q^{9} +O(q^{10})$	\(q+(-1.27676 + 0.608187i) q^{2} +(1.55038 + 0.772217i) q^{3} +(1.26022 - 1.55302i) q^{4} +(-2.14506 - 1.23845i) q^{5} +(-2.44911 - 0.0430112i) q^{6} +(-2.51672 - 0.816158i) q^{7} +(-0.664465 + 2.74927i) q^{8} +(1.80736 + 2.39446i) q^{9} +(3.49193 + 0.276602i) q^{10} +(-0.934456 + 0.539508i) q^{11} +(3.15308 - 1.43460i) q^{12} +(-1.48995 + 0.860221i) q^{13} +(3.70962 - 0.488603i) q^{14} +(-2.36931 - 3.57652i) q^{15} +(-0.823711 - 3.91427i) q^{16} +(-3.35590 + 5.81260i) q^{17} +(-3.76384 - 1.95793i) q^{18} +(-2.03637 + 1.17570i) q^{19} +(-4.62657 + 1.77059i) q^{20} +(-3.27163 - 3.20881i) q^{21} +(0.864951 - 1.25715i) q^{22} +(-4.27597 + 7.40619i) q^{23} +(-3.15321 + 3.74930i) q^{24} +(0.567520 + 0.982974i) q^{25} +(1.37912 - 2.00446i) q^{26} +(0.953055 + 5.10800i) q^{27} +(-4.43912 + 2.87997i) q^{28} +(-5.53580 - 3.19610i) q^{29} +(5.20022 + 3.12537i) q^{30} +8.77458 q^{31} +(3.43229 + 4.49660i) q^{32} +(-1.86538 + 0.114841i) q^{33} +(0.749525 - 9.46229i) q^{34} +(4.38775 + 4.86754i) q^{35} +(5.99630 + 0.210679i) q^{36} +(-0.442028 + 0.255205i) q^{37} +(1.88490 - 2.73958i) q^{38} +(-2.97426 + 0.183108i) q^{39} +(4.83015 - 5.07444i) q^{40} +(-0.0556860 - 0.0964510i) q^{41} +(6.12863 + 2.10711i) q^{42} +(-4.83529 - 2.79166i) q^{43} +(-0.339752 + 2.13112i) q^{44} +(-0.911476 - 7.37459i) q^{45} +(0.955017 - 12.0565i) q^{46} +3.75253 q^{47} +(1.74560 - 6.70469i) q^{48} +(5.66777 + 4.10808i) q^{49} +(-1.32242 - 0.909860i) q^{50} +(-9.69152 + 6.42025i) q^{51} +(-0.541719 + 3.39798i) q^{52} +(-8.04698 - 4.64593i) q^{53} +(-4.32344 - 5.94204i) q^{54} +2.67262 q^{55} +(3.91611 - 6.37684i) q^{56} +(-4.06504 + 0.250261i) q^{57} +(9.01170 + 0.713833i) q^{58} -11.0979i q^{59} +(-8.54023 - 0.827622i) q^{60} +12.1836i q^{61} +(-11.2030 + 5.33659i) q^{62} +(-2.59437 - 7.50128i) q^{63} +(-7.11697 - 3.65359i) q^{64} +4.26137 q^{65} +(2.31179 - 1.28112i) q^{66} -7.37367i q^{67} +(4.79789 + 12.5369i) q^{68} +(-12.3486 + 8.18044i) q^{69} +(-8.56246 - 3.54610i) q^{70} +8.32603 q^{71} +(-7.78395 + 3.37789i) q^{72} +(0.617374 - 1.06932i) q^{73} +(0.409150 - 0.594670i) q^{74} +(0.120803 + 1.96223i) q^{75} +(-0.740388 + 4.64415i) q^{76} +(2.79209 - 0.595129i) q^{77} +(3.68605 - 2.04269i) q^{78} -10.7387 q^{79} +(-3.08072 + 9.41646i) q^{80} +(-2.46689 + 8.65531i) q^{81} +(0.129758 + 0.0892769i) q^{82} +(-1.95525 - 1.12887i) q^{83} +(-9.10629 + 1.03709i) q^{84} +(14.3972 - 8.31224i) q^{85} +(7.87135 + 0.623504i) q^{86} +(-6.11452 - 9.23001i) q^{87} +(-0.862341 - 2.92756i) q^{88} +(-2.63507 - 4.56408i) q^{89} +(5.64887 + 8.86121i) q^{90} +(4.45186 - 0.948905i) q^{91} +(6.11329 + 15.9740i) q^{92} +(13.6039 + 6.77588i) q^{93} +(-4.79107 + 2.28224i) q^{94} +5.82418 q^{95} +(1.84900 + 9.62191i) q^{96} +(-3.38950 + 5.87079i) q^{97} +(-9.73485 - 1.79796i) q^{98} +(-2.98073 - 1.26243i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−1.27676	+	0.608187i	−0.902803	+	0.430053i
$2$	−1.27676	+	0.608187i	−0.902803	+	0.430053i
$3$	1.55038	+	0.772217i	0.895113	+	0.445840i
$3$	1.55038	+	0.772217i	0.895113	+	0.445840i
$4$	1.26022	−	1.55302i	0.630108	−	0.776508i
$5$	−2.14506	−	1.23845i	−0.959300	−	0.553852i	−0.0633423	−	0.997992i	$-0.520176\pi$
$5$	−2.14506	−	1.23845i	−0.959300	−	0.553852i	−0.895957	+	0.444140i	$0.853509\pi$
$6$	−2.44911	−	0.0430112i	−0.999846	−	0.0175593i
$7$	−2.51672	−	0.816158i	−0.951231	−	0.308479i
$7$	−2.51672	−	0.816158i	−0.951231	−	0.308479i
$8$	−0.664465	+	2.74927i	−0.234924	+	0.972014i
$9$	1.80736	+	2.39446i	0.602454	+	0.798154i
$10$	3.49193	+	0.276602i	1.10425	+	0.0874693i
$11$	−0.934456	+	0.539508i	−0.281749	+	0.162668i	−0.634215	−	0.773157i	$-0.718677\pi$
$11$	−0.934456	+	0.539508i	−0.281749	+	0.162668i	0.352466	+	0.935825i	$0.385343\pi$
$12$	3.15308	−	1.43460i	0.910216	−	0.414135i
$13$	−1.48995	+	0.860221i	−0.413237	+	0.238582i	−0.692180	−	0.721725i	$-0.743349\pi$
$13$	−1.48995	+	0.860221i	−0.413237	+	0.238582i	0.278943	+	0.960308i	$0.410016\pi$
$14$	3.70962	−	0.488603i	0.991437	−	0.130585i
$15$	−2.36931	−	3.57652i	−0.611752	−	0.923454i
$16$	−0.823711	−	3.91427i	−0.205928	−	0.978567i
$17$	−3.35590	+	5.81260i	−0.813926	+	1.40976i	0.0961701	+	0.995365i	$0.469341\pi$
$17$	−3.35590	+	5.81260i	−0.813926	+	1.40976i	−0.910096	+	0.414397i	$0.863993\pi$
$18$	−3.76384	−	1.95793i	−0.887146	−	0.461489i
$19$	−2.03637	+	1.17570i	−0.467175	+	0.269724i	−0.715056	−	0.699067i	$-0.753599\pi$
$19$	−2.03637	+	1.17570i	−0.467175	+	0.269724i	0.247881	+	0.968790i	$0.420266\pi$
$20$	−4.62657	+	1.77059i	−1.03453	+	0.395917i
$21$	−3.27163	−	3.20881i	−0.713927	−	0.700220i
$22$	0.864951	−	1.25715i	0.184408	−	0.268024i
$23$	−4.27597	+	7.40619i	−0.891601	+	1.54430i	−0.0536448	+	0.998560i	$0.517084\pi$
$23$	−4.27597	+	7.40619i	−0.891601	+	1.54430i	−0.837956	+	0.545738i	$0.816249\pi$
$24$	−3.15321	+	3.74930i	−0.643646	+	0.765324i
$25$	0.567520	+	0.982974i	0.113504	+	0.196595i
$26$	1.37912	−	2.00446i	0.270469	−	0.393107i
$27$	0.953055	+	5.10800i	0.183416	+	0.983035i
$28$	−4.43912	+	2.87997i	−0.838914	+	0.544263i
$29$	−5.53580	−	3.19610i	−1.02797	−	0.593501i	−0.111570	−	0.993757i	$-0.535588\pi$
$29$	−5.53580	−	3.19610i	−1.02797	−	0.593501i	−0.916403	+	0.400256i	$0.868921\pi$
$30$	5.20022	+	3.12537i	0.949427	+	0.570611i
$31$	8.77458			1.57596			0.787980	−	0.615701i	$-0.211127\pi$
$31$	8.77458			1.57596			0.787980	+	0.615701i	$0.211127\pi$
$32$	3.43229	+	4.49660i	0.606749	+	0.794894i
$33$	−1.86538	+	0.114841i	−0.324721	+	0.0199912i
$34$	0.749525	−	9.46229i	0.128543	−	1.62277i
$35$	4.38775	+	4.86754i	0.741664	+	0.822765i
$36$	5.99630	+	0.210679i	0.999383	+	0.0351131i
$37$	−0.442028	+	0.255205i	−0.0726689	+	0.0419554i	−0.535894	−	0.844285i	$-0.680025\pi$
$37$	−0.442028	+	0.255205i	−0.0726689	+	0.0419554i	0.463225	+	0.886241i	$0.346692\pi$
$38$	1.88490	−	2.73958i	0.305772	−	0.444418i
$39$	−2.97426	+	0.183108i	−0.476263	+	0.0293208i
$40$	4.83015	−	5.07444i	0.763714	−	0.802340i
$41$	−0.0556860	−	0.0964510i	−0.00869669	−	0.0150631i	0.861644	−	0.507513i	$-0.169435\pi$
$41$	−0.0556860	−	0.0964510i	−0.00869669	−	0.0150631i	−0.870341	+	0.492450i	$0.836102\pi$
$42$	6.12863	+	2.10711i	0.945668	+	0.325134i
$43$	−4.83529	−	2.79166i	−0.737375	−	0.425724i	0.0837389	−	0.996488i	$-0.473314\pi$
$43$	−4.83529	−	2.79166i	−0.737375	−	0.425724i	−0.821114	+	0.570764i	$0.806647\pi$
$44$	−0.339752	+	2.13112i	−0.0512195	+	0.321279i
$45$	−0.911476	−	7.37459i	−0.135875	−	1.09934i
$46$	0.955017	−	12.0565i	0.140810	−	1.77763i
$47$	3.75253			0.547363			0.273681	−	0.961820i	$-0.411759\pi$
$47$	3.75253			0.547363			0.273681	+	0.961820i	$0.411759\pi$
$48$	1.74560	−	6.70469i	0.251956	−	0.967739i
$49$	5.66777	+	4.10808i	0.809682	+	0.586869i
$50$	−1.32242	−	0.909860i	−0.187018	−	0.128674i
$51$	−9.69152	+	6.42025i	−1.35708	+	0.899015i
$52$	−0.541719	+	3.39798i	−0.0751228	+	0.471214i
$53$	−8.04698	−	4.64593i	−1.10534	−	0.638167i	−0.167720	−	0.985835i	$-0.553641\pi$
$53$	−8.04698	−	4.64593i	−1.10534	−	0.638167i	−0.937618	+	0.347667i	$0.886974\pi$
$54$	−4.32344	−	5.94204i	−0.588346	−	0.808609i
$55$	2.67262			0.360376
$56$	3.91611	−	6.37684i	0.523313	−	0.852141i
$57$	−4.06504	+	0.250261i	−0.538428	+	0.0331479i
$58$	9.01170	+	0.713833i	1.18329	+	0.0937309i
$59$		−	11.0979i		−	1.44483i	−0.691461	−	0.722414i	$-0.743032\pi$
$59$		−	11.0979i		−	1.44483i	0.691461	−	0.722414i	$-0.256968\pi$
$60$	−8.54023	−	0.827622i	−1.10254	−	0.106845i
$61$			12.1836i			1.55995i	0.625810	+	0.779975i	$0.284768\pi$
$61$			12.1836i			1.55995i	−0.625810	+	0.779975i	$0.715232\pi$
$62$	−11.2030	+	5.33659i	−1.42278	+	0.677747i
$63$	−2.59437	−	7.50128i	−0.326859	−	0.945073i
$64$	−7.11697	−	3.65359i	−0.889622	−	0.456699i
$65$	4.26137			0.528558
$66$	2.31179	−	1.28112i	0.284562	−	0.157696i
$67$		−	7.37367i		−	0.900838i	−0.892817	−	0.450419i	$-0.851275\pi$
$67$		−	7.37367i		−	0.900838i	0.892817	−	0.450419i	$-0.148725\pi$
$68$	4.79789	+	12.5369i	0.581829	+	1.52032i
$69$	−12.3486	+	8.18044i	−1.48659	+	0.984810i
$70$	−8.56246	−	3.54610i	−1.02341	−	0.423840i
$71$	8.32603			0.988117			0.494059	−	0.869429i	$-0.335513\pi$
$71$	8.32603			0.988117			0.494059	+	0.869429i	$0.335513\pi$
$72$	−7.78395	+	3.37789i	−0.917347	+	0.398088i
$73$	0.617374	−	1.06932i	0.0722581	−	0.125155i	−0.827633	−	0.561270i	$-0.810313\pi$
$73$	0.617374	−	1.06932i	0.0722581	−	0.125155i	0.899891	+	0.436116i	$0.143646\pi$
$74$	0.409150	−	0.594670i	0.0475627	−	0.0691290i
$75$	0.120803	+	1.96223i	0.0139492	+	0.226579i
$76$	−0.740388	+	4.64415i	−0.0849283	+	0.532720i
$77$	2.79209	−	0.595129i	0.318188	−	0.0678212i
$78$	3.68605	−	2.04269i	0.417363	−	0.231290i
$79$	−10.7387			−1.20820			−0.604098	−	0.796910i	$-0.706466\pi$
$79$	−10.7387			−1.20820			−0.604098	+	0.796910i	$0.706466\pi$
$80$	−3.08072	+	9.41646i	−0.344435	+	1.05279i
$81$	−2.46689	+	8.65531i	−0.274099	+	0.961702i
$82$	0.129758	+	0.0892769i	0.0143294	+	0.00985899i
$83$	−1.95525	−	1.12887i	−0.214617	−	0.123909i	0.388838	−	0.921306i	$-0.372876\pi$
$83$	−1.95525	−	1.12887i	−0.214617	−	0.123909i	−0.603455	+	0.797397i	$0.706210\pi$
$84$	−9.10629	+	1.03709i	−0.993577	+	0.113156i
$85$	14.3972	−	8.31224i	1.56160	−	0.901589i
$86$	7.87135	+	0.623504i	0.848789	+	0.0672341i
$87$	−6.11452	−	9.23001i	−0.655546	−	0.989561i
$88$	−0.862341	−	2.92756i	−0.0919258	−	0.312079i
$89$	−2.63507	−	4.56408i	−0.279317	−	0.483792i	0.691898	−	0.721995i	$-0.256775\pi$
$89$	−2.63507	−	4.56408i	−0.279317	−	0.483792i	−0.971215	+	0.238204i	$0.923441\pi$
$90$	5.64887	+	8.86121i	0.595443	+	0.934053i
$91$	4.45186	−	0.948905i	0.466682	−	0.0994723i
$92$	6.11329	+	15.9740i	0.637354	+	1.66541i
$93$	13.6039	+	6.77588i	1.41066	+	0.702626i
$94$	−4.79107	+	2.28224i	−0.494161	+	0.235395i
$95$	5.82418			0.597548
$96$	1.84900	+	9.62191i	0.188713	+	0.982032i
$97$	−3.38950	+	5.87079i	−0.344152	+	0.596088i	−0.985199	−	0.171413i	$-0.945167\pi$
$97$	−3.38950	+	5.87079i	−0.344152	+	0.596088i	0.641048	+	0.767501i	$0.278500\pi$
$98$	−9.73485	−	1.79796i	−0.983369	−	0.181621i
$99$	−2.98073	−	1.26243i	−0.299575	−	0.126879i
$100$	2.24177	+	0.357392i	0.224177	+	0.0357392i
$101$	1.13159	−	0.653323i	0.112597	−	0.0650081i	−0.442644	−	0.896698i	$-0.645959\pi$
$101$	1.13159	−	0.653323i	0.112597	−	0.0650081i	0.555241	+	0.831689i	$0.312626\pi$
$102$	8.46899	−	14.0914i	0.838555	−	1.39525i
$103$	1.22250	−	2.11744i	0.120457	−	0.208637i	−0.799491	−	0.600678i	$-0.794897\pi$
$103$	1.22250	−	2.11744i	0.120457	−	0.208637i	0.919948	+	0.392041i	$0.128231\pi$
$104$	−1.37496	−	4.66785i	−0.134826	−	0.457721i
$105$	3.04388	+	10.9348i	0.297052	+	1.06713i
$106$	13.0996	+	1.03765i	1.27235	+	0.100785i
$107$	10.6170	−	6.12970i	1.02638	−	0.592581i	0.110434	−	0.993883i	$-0.464776\pi$
$107$	10.6170	−	6.12970i	1.02638	−	0.592581i	0.915945	+	0.401303i	$0.131442\pi$
$108$	9.13386	+	4.95708i	0.878906	+	0.476995i
$109$	−3.65078	−	2.10778i	−0.349681	−	0.201888i	0.314864	−	0.949137i	$-0.398041\pi$
$109$	−3.65078	−	2.10778i	−0.349681	−	0.201888i	−0.664545	+	0.747249i	$0.731374\pi$
$110$	−3.41228	+	1.62545i	−0.325348	+	0.154981i
$111$	−0.882385	+	0.0543233i	−0.0837523	+	0.00515614i
$112$	−1.12161	+	10.5234i	−0.105982	+	0.994368i
$113$	−4.76740	−	8.25738i	−0.448479	−	0.776789i	0.549808	−	0.835291i	$-0.314701\pi$
$113$	−4.76740	−	8.25738i	−0.448479	−	0.776789i	−0.998287	+	0.0585022i	$0.981368\pi$
$114$	5.03787	−	2.79183i	0.471839	−	0.261479i
$115$	18.3444	−	10.5911i	1.71062	−	0.987630i
$116$	−11.9399	+	4.56941i	−1.10859	+	0.424259i
$117$	−4.75264	−	2.01289i	−0.439382	−	0.186092i
$118$	6.74963	+	14.1694i	0.621353	+	1.30440i
$119$	13.1899	−	11.8897i	1.20911	−	1.08993i
$120$	11.4071	−	4.13739i	1.04133	−	0.377690i
$121$	−4.91786	+	8.51799i	−0.447078	+	0.774362i
$122$	−7.40992	−	15.5555i	−0.670862	−	1.40833i
$123$	−0.0118534	−	0.192537i	−0.00106879	−	0.0173605i
$124$	11.0579	−	13.6270i	0.993025	−	1.22375i
$125$			9.57312i			0.856246i
$126$	7.87456	+	7.99945i	0.701522	+	0.712648i
$127$	7.87239			0.698562			0.349281	−	0.937018i	$-0.386426\pi$
$127$	7.87239			0.698562			0.349281	+	0.937018i	$0.386426\pi$
$128$	11.3087	+	0.336291i	0.999558	+	0.0297242i
$129$	−5.34078	−	8.06203i	−0.470229	−	0.709822i
$130$	−5.44073	+	2.59171i	−0.477184	+	0.227308i
$131$	12.6770	+	7.31909i	1.10760	+	0.639472i	0.938206	−	0.346077i	$-0.112486\pi$
$131$	12.6770	+	7.31909i	1.10760	+	0.639472i	0.169392	+	0.985549i	$0.445820\pi$
$132$	−2.17243	+	3.04169i	−0.189086	+	0.264745i
$133$	6.08453	−	1.29691i	0.527596	−	0.112456i
$134$	4.48458	+	9.41439i	0.387408	+	0.813279i
$135$	4.28165	−	12.1373i	0.368506	−	1.04461i
$136$	−13.7505	−	13.0886i	−1.17910	−	1.12233i
$137$	10.2023	+	17.6710i	0.871645	+	1.50973i	0.860294	+	0.509798i	$0.170280\pi$
$137$	10.2023	+	17.6710i	0.871645	+	1.50973i	0.0113512	+	0.999936i	$0.496387\pi$
$138$	10.7909	−	17.9547i	0.918580	−	1.52840i
$139$	5.30264	−	3.06148i	0.449764	−	0.259671i	−0.257966	−	0.966154i	$-0.583052\pi$
$139$	5.30264	−	3.06148i	0.449764	−	0.259671i	0.707731	+	0.706482i	$0.249719\pi$
$140$	13.0889	−	0.680079i	1.10621	−	0.0574772i
$141$	5.81785	+	2.89777i	0.489951	+	0.244036i
$142$	−10.6303	+	5.06378i	−0.892076	+	0.424943i
$143$	0.928193	−	1.60768i	0.0776194	−	0.134441i
$144$	7.88382	−	9.04684i	0.656985	−	0.753904i
$145$	7.91642	+	13.7116i	0.657423	+	1.13869i
$146$	−0.137887	+	1.74074i	−0.0114116	+	0.144065i
$147$	5.61487	+	10.7458i	0.463107	+	0.886302i
$148$	−0.160714	+	1.00809i	−0.0132106	+	0.0828644i
$149$	−7.66446	−	4.42508i	−0.627897	−	0.362516i	0.152040	−	0.988374i	$-0.451416\pi$
$149$	−7.66446	−	4.42508i	−0.627897	−	0.362516i	−0.779937	+	0.625858i	$0.784749\pi$
$150$	−1.34764	−	2.43182i	−0.110034	−	0.198557i
$151$	2.77754	+	4.81084i	0.226033	+	0.391501i	0.956629	−	0.291309i	$-0.0940909\pi$
$151$	2.77754	+	4.81084i	0.226033	+	0.391501i	−0.730596	+	0.682810i	$0.760758\pi$
$152$	−1.87922	−	6.37974i	−0.152425	−	0.517465i
$153$	−19.9834	+	2.46988i	−1.61556	+	0.199678i
$154$	−3.20287	+	2.45795i	−0.258095	+	0.198067i
$155$	−18.8220	−	10.8669i	−1.51182	−	0.872849i
$156$	−3.46384	+	4.84983i	−0.277330	+	0.388297i
$157$			18.5045i			1.47682i	0.674354	+	0.738409i	$0.264422\pi$
$157$			18.5045i			1.47682i	−0.674354	+	0.738409i	$0.735578\pi$
$158$	13.7107	−	6.53113i	1.09076	−	0.519589i
$159$	−8.88822	−	13.4170i	−0.704882	−	1.06404i
$160$	−1.79365	−	13.8962i	−0.141800	−	1.09859i
$161$	16.8060	−	15.1495i	1.32450	−	1.19394i
$162$	−2.11444	−	12.5511i	−0.166126	−	0.986105i
$163$	−11.7044	+	6.75751i	−0.916756	+	0.529289i	−0.882599	−	0.470127i	$-0.844208\pi$
$163$	−11.7044	+	6.75751i	−0.916756	+	0.529289i	−0.0341570	+	0.999416i	$0.510875\pi$
$164$	−0.219966	−	0.0350679i	−0.0171765	−	0.00273834i
$165$	4.14358	+	2.06384i	0.322577	+	0.160670i
$166$	3.18295	+	0.252127i	0.247045	+	0.0195688i
$167$	−1.46285	−	2.53372i	−0.113198	−	0.196065i	0.803860	−	0.594819i	$-0.202776\pi$
$167$	−1.46285	−	2.53372i	−0.113198	−	0.196065i	−0.917058	+	0.398753i	$0.869443\pi$
$168$	10.9958	−	6.86244i	0.848342	−	0.529449i
$169$	−5.02004	+	8.69496i	−0.386157	+	0.668843i
$170$	−13.3264	+	19.3689i	−1.02208	+	1.48553i
$171$	−6.49562	−	2.75110i	−0.496732	−	0.210382i
$172$	−10.4290	+	3.99119i	−0.795204	+	0.304325i
$173$			12.1145i			0.921051i	0.887647	+	0.460525i	$0.152339\pi$
$173$			12.1145i			0.921051i	−0.887647	+	0.460525i	$0.847661\pi$
$174$	13.4203	+	8.06570i	1.01739	+	0.611460i
$175$	−0.626028	−	2.93706i	−0.0473233	−	0.222021i
$176$	2.88150	+	3.21331i	0.217201	+	0.242213i
$177$	8.57002	−	17.2060i	0.644162	−	1.29328i
$178$	6.14016	+	4.22460i	0.460225	+	0.316647i
$179$	19.5139	+	11.2664i	1.45854	+	0.842087i	0.998940	−	0.0460407i	$-0.0146604\pi$
$179$	19.5139	+	11.2664i	1.45854	+	0.842087i	0.459597	+	0.888127i	$0.347994\pi$
$180$	−12.6015	−	7.87804i	−0.939261	−	0.587194i
$181$			0.340840i			0.0253344i	0.999920	+	0.0126672i	$0.00403221\pi$
$181$			0.340840i			0.0253344i	−0.999920	+	0.0126672i	$0.995968\pi$
$182$	−5.10683	+	3.91909i	−0.378543	+	0.290502i
$183$	−9.40839	+	18.8892i	−0.695488	+	1.39633i
$184$	−17.5204	−	16.6769i	−1.29162	−	1.22944i
$185$	1.26423			0.0929484
$186$	−21.4899	−	0.377405i	−1.57572	−	0.0276727i
$187$		−	7.24215i		−	0.529599i
$188$	4.72900	−	5.82774i	0.344898	−	0.425031i
$189$	1.77036	−	13.6333i	0.128775	−	0.991674i
$190$	−7.43606	+	3.54219i	−0.539468	+	0.256978i
$191$	−15.9701			−1.15556			−0.577778	−	0.816194i	$-0.696080\pi$
$191$	−15.9701			−1.15556			−0.577778	+	0.816194i	$0.696080\pi$
$192$	−8.21265	−	11.1603i	−0.592697	−	0.805425i
$193$	−7.08025			−0.509648			−0.254824	−	0.966987i	$-0.582018\pi$
$193$	−7.08025			−0.509648			−0.254824	+	0.966987i	$0.582018\pi$
$194$	0.757029	−	9.55702i	0.0543515	−	0.686154i
$195$	6.60674	+	3.29070i	0.473119	+	0.235652i
$196$	13.5225	−	3.62506i	0.965895	−	0.258933i
$197$		−	1.12221i		−	0.0799544i	−0.999201	−	0.0399772i	$-0.987271\pi$
$197$		−	1.12221i		−	0.0799544i	0.999201	−	0.0399772i	$-0.0127285\pi$
$198$	4.57346	−	0.201025i	0.325022	−	0.0142862i
$199$	0.547923	−	0.949031i	0.0388413	−	0.0672750i	−0.845951	−	0.533260i	$-0.820967\pi$
$199$	0.547923	−	0.949031i	0.0388413	−	0.0672750i	0.884793	+	0.465985i	$0.154300\pi$
$200$	−3.07956	+	0.907114i	−0.217758	+	0.0641427i
$201$	5.69408	−	11.4320i	0.401629	−	0.806351i
$202$	−1.04742	+	1.52235i	−0.0736963	+	0.107112i
$203$	11.3236	+	12.5618i	0.794758	+	0.881664i
$204$	−2.24266	+	23.1420i	−0.157017	+	1.62026i
$205$			0.275858i			0.0192667i
$206$	−0.273040	+	3.44697i	−0.0190236	+	0.240162i
$207$	−25.4621	+	3.14703i	−1.76974	+	0.218734i
$208$	4.59442	+	5.12348i	0.318566	+	0.355249i
$209$	1.26860	−	2.19728i	0.0877508	−	0.151989i
$210$	−10.5367	−	12.1099i	−0.727103	−	0.835661i
$211$	3.42268	−	1.97609i	0.235627	−	0.136039i	−0.377538	−	0.925994i	$-0.623229\pi$
$211$	3.42268	−	1.97609i	0.235627	−	0.136039i	0.613165	+	0.789955i	$0.289896\pi$
$212$	−17.3561	+	6.64221i	−1.19202	+	0.456189i
$213$	12.9085	+	6.42950i	0.884477	+	0.440542i
$214$	−9.82726	+	14.2832i	−0.671778	+	0.976382i
$215$	6.91466	+	11.9765i	0.471576	+	0.816794i
$216$	−14.6765	−	0.773884i	−0.998613	−	0.0526561i
$217$	−22.0832	−	7.16144i	−1.49910	−	0.486150i
$218$	5.94308	+	0.470762i	0.402516	+	0.0318840i
$219$	1.78291	−	1.18111i	0.120478	−	0.0798121i
$220$	3.36808	−	4.15062i	0.227076	−	0.279834i
$221$		−	11.5473i		−	0.776754i
$222$	1.09355	−	0.606013i	0.0733944	−	0.0406729i
$223$	7.65512	−	13.2590i	0.512624	−	0.887892i	−0.487268	−	0.873252i	$-0.662007\pi$
$223$	7.65512	−	13.2590i	0.512624	−	0.887892i	0.999893	−	0.0146393i	$-0.00466001\pi$
$224$	−4.96818	−	14.1180i	−0.331950	−	0.943297i
$225$	−1.32798	+	3.13549i	−0.0885319	+	0.209033i
$226$	11.1088	+	7.64319i	0.738949	+	0.508418i
$227$	−12.8398	+	7.41307i	−0.852209	+	0.492023i	−0.861396	−	0.507935i	$-0.830409\pi$
$227$	−12.8398	+	7.41307i	−0.852209	+	0.492023i	0.00918660	+	0.999958i	$0.497076\pi$
$228$	−4.73417	+	6.62846i	−0.313528	+	0.438980i
$229$	14.9484	+	8.63045i	0.987817	+	0.570316i	0.904621	−	0.426217i	$-0.140154\pi$
$229$	14.9484	+	8.63045i	0.987817	+	0.570316i	0.0831959	+	0.996533i	$0.473487\pi$
$230$	−16.9799	+	24.6792i	−1.11962	+	1.62730i
$231$	4.78837	+	1.23342i	0.315052	+	0.0811533i
$232$	12.4653	−	13.0957i	0.818386	−	0.859777i
$233$	1.45385	+	2.51814i	0.0952446	+	0.164969i	0.909711	−	0.415243i	$-0.136303\pi$
$233$	1.45385	+	2.51814i	0.0952446	+	0.164969i	−0.814466	+	0.580211i	$0.802970\pi$
$234$	7.29218	−	0.320526i	0.476705	−	0.0209534i
$235$	−8.04940	−	4.64732i	−0.525085	−	0.303158i
$236$	−17.2353	−	13.9858i	−1.12192	−	0.910398i
$237$	−16.6490	−	8.29259i	−1.08147	−	0.538662i
$238$	−9.60907	+	23.2022i	−0.622863	+	1.50398i
$239$	−11.9492	−	20.6966i	−0.772927	−	1.33875i	−0.935952	−	0.352127i	$-0.885458\pi$
$239$	−11.9492	−	20.6966i	−0.772927	−	1.33875i	0.163025	−	0.986622i	$-0.447875\pi$
$240$	−12.0478	+	12.2201i	−0.777685	+	0.788806i
$241$	−10.7021	−	18.5366i	−0.689385	−	1.19405i	−0.972037	−	0.234827i	$-0.924548\pi$
$241$	−10.7021	−	18.5366i	−0.689385	−	1.19405i	0.282652	−	0.959222i	$-0.408786\pi$
$242$	1.09838	−	13.8664i	0.0706066	−	0.891365i
$243$	−10.5084	+	11.5141i	−0.674114	+	0.738627i
$244$	18.9213	+	15.3540i	1.21131	+	0.982937i
$245$	−7.07005	−	15.8313i	−0.451689	−	1.01143i
$246$	0.132233	+	0.238614i	0.00843086	+	0.0152135i
$247$	2.02272	−	3.50346i	0.128703	−	0.222920i
$248$	−5.83040	+	24.1237i	−0.370231	+	1.53186i
$249$	−2.15966	−	3.26005i	−0.136863	−	0.206598i
$250$	−5.82225	−	12.2226i	−0.368232	−	0.773022i
$251$		−	11.2287i		−	0.708749i	−0.935104	−	0.354375i	$-0.884694\pi$
$251$		−	11.2287i		−	0.708749i	0.935104	−	0.354375i	$-0.115306\pi$
$252$	−14.9191	−	5.42415i	−0.939813	−	0.341689i
$253$		−	9.22768i		−	0.580139i
$254$	−10.0511	+	4.78789i	−0.630664	+	0.300419i
$255$	28.7400	−	1.76936i	1.79977	−	0.110801i
$256$	−14.6430	+	6.44845i	−0.915187	+	0.403028i
$257$	−0.742056	+	1.28528i	−0.0462882	+	0.0801735i	−0.888241	−	0.459377i	$-0.848073\pi$
$257$	−0.742056	+	1.28528i	−0.0462882	+	0.0801735i	0.841953	+	0.539551i	$0.181406\pi$
$258$	11.7221	+	7.04506i	0.729786	+	0.438606i
$259$	1.32075	−	0.281515i	0.0820673	−	0.0174925i
$260$	5.37024	−	6.61797i	0.333048	−	0.410429i
$261$	−2.35227	−	19.0318i	−0.145602	−	1.17804i
$262$	−20.6369	−	1.63468i	−1.27495	−	0.100991i
$263$	−1.25849	−	2.17976i	−0.0776016	−	0.134410i	0.824613	−	0.565697i	$-0.191393\pi$
$263$	−1.25849	−	2.17976i	−0.0776016	−	0.134410i	−0.902215	+	0.431287i	$0.858060\pi$
$264$	0.923752	−	5.20474i	0.0568530	−	0.320330i
$265$	11.5075	+	19.9316i	0.706900	+	1.22439i
$266$	−6.97970	+	5.35637i	−0.427953	+	0.328420i
$267$	−0.560906	−	9.11091i	−0.0343269	−	0.557579i
$268$	−11.4514	−	9.29242i	−0.699507	−	0.567625i
$269$	−9.20030	−	5.31180i	−0.560952	−	0.323866i	0.192575	−	0.981282i	$-0.438316\pi$
$269$	−9.20030	−	5.31180i	−0.560952	−	0.323866i	−0.753528	+	0.657416i	$0.771649\pi$
$270$	1.91512	+	18.1004i	0.116550	+	1.10156i
$271$	11.7696	+	20.3856i	0.714953	+	1.23834i	0.962978	+	0.269581i	$0.0868853\pi$
$271$	11.7696	+	20.3856i	0.714953	+	1.23834i	−0.248025	+	0.968754i	$0.579781\pi$
$272$	25.5164	+	8.34801i	1.54716	+	0.506172i
$273$	7.63484	+	1.96664i	0.462081	+	0.119026i
$274$	−23.7732	−	16.3566i	−1.43619	−	0.988139i
$275$	−1.06065	−	0.612364i	−0.0639593	−	0.0369269i
$276$	−2.85751	+	29.4866i	−0.172002	+	1.77489i
$277$	−10.9515	+	6.32285i	−0.658012	+	0.379903i	−0.791519	−	0.611145i	$-0.790709\pi$
$277$	−10.9515	+	6.32285i	−0.658012	+	0.379903i	0.133507	+	0.991048i	$0.457376\pi$
$278$	−4.90823	+	7.13377i	−0.294376	+	0.427855i
$279$	15.8588	+	21.0104i	0.949443	+	1.25786i
$280$	−16.2977	+	8.82878i	−0.973973	+	0.527621i
$281$	1.56185	−	2.70520i	0.0931722	−	0.161379i	−0.815672	−	0.578515i	$-0.803633\pi$
$281$	1.56185	−	2.70520i	0.0931722	−	0.161379i	0.908844	+	0.417136i	$0.136966\pi$
$282$	−9.19037	−	0.161401i	−0.547278	−	0.00961128i
$283$			29.2484i			1.73864i	0.494251	+	0.869319i	$0.335442\pi$
$283$			29.2484i			1.73864i	−0.494251	+	0.869319i	$0.664558\pi$
$284$	10.4926	−	12.9304i	0.622621	−	0.767281i
$285$	9.02969	+	4.49753i	0.534873	+	0.266411i
$286$	−0.207308	+	2.61713i	−0.0122584	+	0.154754i
$287$	0.0614269	+	0.288189i	0.00362592	+	0.0170113i
$288$	−4.56354	+	16.3455i	−0.268909	+	0.963165i
$289$	−14.0242	−	24.2906i	−0.824952	−	1.42886i
$290$	−18.4466	−	12.6918i	−1.08322	−	0.745286i
$291$	−9.78854	+	6.48453i	−0.573815	+	0.380130i
$292$	−0.882650	−	2.30637i	−0.0516532	−	0.134970i
$293$	−7.91856	+	4.57178i	−0.462607	+	0.267086i	−0.713140	−	0.701022i	$-0.752728\pi$
$293$	−7.91856	+	4.57178i	−0.462607	+	0.267086i	0.250533	+	0.968108i	$0.419394\pi$
$294$	−13.7043	−	10.3049i	−0.799252	−	0.600996i
$295$	−13.7442	+	23.8057i	−0.800221	+	1.38602i
$296$	−0.407915	−	1.38483i	−0.0237096	−	0.0804915i
$297$	−3.64640	−	4.25902i	−0.211585	−	0.247133i
$298$	12.4769	+	0.988320i	0.722769	+	0.0572518i
$299$		−	14.7131i		−	0.850881i
$300$	3.19961	+	2.28523i	0.184730	+	0.131938i
$301$	9.89065	+	10.9722i	0.570088	+	0.632426i
$302$	−6.47214	−	4.45301i	−0.372430	−	0.256242i
$303$	2.25890	−	0.139067i	0.129771	−	0.00798922i
$304$	6.27938	+	7.00246i	0.360147	+	0.401619i
$305$	15.0888	−	26.1346i	0.863982	−	1.49646i
$306$	24.0117	−	15.3071i	1.37266	−	0.875047i
$307$			14.6322i			0.835101i	0.908654	+	0.417551i	$0.137111\pi$
$307$			14.6322i			0.835101i	−0.908654	+	0.417551i	$0.862889\pi$
$308$	2.59439	−	5.08615i	0.147829	−	0.289810i
$309$	3.53047	−	2.33880i	0.200841	−	0.133050i
$310$	30.6402	+	2.42707i	1.74025	+	0.137848i
$311$	3.28184			0.186096			0.0930482	−	0.995662i	$-0.470339\pi$
$311$	3.28184			0.186096			0.0930482	+	0.995662i	$0.470339\pi$
$312$	1.47288	−	8.29872i	0.0833854	−	0.469823i
$313$	22.9883			1.29938			0.649688	−	0.760201i	$-0.274900\pi$
$313$	22.9883			1.29938			0.649688	+	0.760201i	$0.274900\pi$
$314$	−11.2542	−	23.6257i	−0.635110	−	1.33328i
$315$	−3.72490	+	19.3037i	−0.209874	+	1.08764i
$316$	−13.5331	+	16.6773i	−0.761294	+	0.938173i
$317$		−	5.35989i		−	0.301041i	−0.988607	−	0.150521i	$-0.951905\pi$
$317$		−	5.35989i		−	0.301041i	0.988607	−	0.150521i	$-0.0480950\pi$
$318$	19.5081	+	11.7245i	1.09396	+	0.657478i
$319$	6.89729			0.386174
$320$	10.7415	+	16.6512i	0.600470	+	0.930829i
$321$	21.1938	−	1.30478i	1.18292	−	0.0728256i
$322$	−12.2435	+	29.5634i	−0.682305	+	1.64750i
$323$		−	15.7821i		−	0.878141i
$324$	10.3330	+	14.7387i	0.574057	+	0.818816i
$325$	−1.69115	−	0.976386i	−0.0938081	−	0.0541601i
$326$	10.8338	−	15.7461i	0.600027	−	0.872098i
$327$	−4.03243	−	6.08705i	−0.222994	−	0.336614i
$328$	0.302171	−	0.0890076i	0.0166846	−	0.00491462i
$329$	−9.44407	−	3.06266i	−0.520669	−	0.168850i
$330$	−6.54554	−	0.114953i	−0.360320	−	0.00632793i
$331$		−	29.6471i		−	1.62955i	−0.579777	−	0.814775i	$-0.696860\pi$
$331$		−	29.6471i		−	1.62955i	0.579777	−	0.814775i	$-0.303140\pi$
$332$	−4.21719	+	1.61392i	−0.231448	+	0.0885756i
$333$	−1.40998	−	0.597171i	−0.0772666	−	0.0327248i
$334$	3.40868	+	2.34526i	0.186515	+	0.128327i
$335$	−9.13193	+	15.8170i	−0.498931	+	0.864173i
$336$	−9.86527	+	15.4492i	−0.538195	+	0.842820i
$337$	4.01274	+	6.95027i	0.218588	+	0.378605i	0.954376	−	0.298606i	$-0.0965216\pi$
$337$	4.01274	+	6.95027i	0.218588	+	0.378605i	−0.735789	+	0.677211i	$0.763188\pi$
$338$	1.12120	−	14.1545i	0.0609853	−	0.769902i
$339$	−1.01480	−	16.4835i	−0.0551162	−	0.895263i
$340$	5.23458	−	32.8343i	0.283885	−	1.78069i
$341$	−8.19945	+	4.73396i	−0.444025	+	0.256358i
$342$	9.96651	−	0.438075i	0.538927	−	0.0236884i
$343$	−10.9114	−	14.9647i	−0.589158	−	0.808018i
$344$	10.8879	−	11.4386i	0.587037	−	0.616726i
$345$	36.6195	−	2.25445i	1.97153	−	0.121375i
$346$	−7.36791	−	15.4673i	−0.396101	−	0.831528i
$347$		−	31.1494i		−	1.67219i	−0.548586	−	0.836094i	$-0.684834\pi$
$347$		−	31.1494i		−	1.67219i	0.548586	−	0.836094i	$-0.315166\pi$
$348$	−22.0400	−	2.13586i	−1.18147	−	0.114494i
$349$	−2.17299	−	1.25458i	−0.116317	−	0.0671559i	0.440713	−	0.897648i	$-0.354726\pi$
$349$	−2.17299	−	1.25458i	−0.116317	−	0.0671559i	−0.557030	+	0.830492i	$0.688059\pi$
$350$	2.58557	+	3.36916i	0.138204	+	0.180089i
$351$	−5.81401	−	6.79082i	−0.310329	−	0.362467i
$352$	−5.63327	−	2.35012i	−0.300255	−	0.125262i
$353$	−15.0014	−	25.9832i	−0.798444	−	1.38294i	−0.920629	−	0.390438i	$-0.872324\pi$
$353$	−15.0014	−	25.9832i	−0.798444	−	1.38294i	0.122186	−	0.992507i	$-0.461010\pi$
$354$	−0.477336	+	27.1801i	−0.0253701	+	1.44461i
$355$	−17.8598	−	10.3114i	−0.947901	−	0.547271i
$356$	−10.4088	−	1.65942i	−0.551668	−	0.0879490i
$357$	29.6308	−	8.24818i	1.56823	−	0.436540i
$358$	−31.7666	−	2.51629i	−1.67891	−	0.132990i
$359$	−2.62331	−	4.54370i	−0.138453	−	0.239808i	0.788458	−	0.615088i	$-0.210880\pi$
$359$	−2.62331	−	4.54370i	−0.138453	−	0.239808i	−0.926911	+	0.375281i	$0.877546\pi$
$360$	20.8804	+	2.39426i	1.10049	+	0.126189i
$361$	−6.73547	+	11.6662i	−0.354498	+	0.614009i
$362$	−0.207294	−	0.435170i	−0.0108952	−	0.0228720i
$363$	−14.2023	+	9.40847i	−0.745427	+	0.493816i
$364$	4.13664	−	8.10963i	0.216819	−	0.425060i
$365$	−2.64861	+	1.52917i	−0.138634	+	0.0800406i
$366$	0.524032	−	29.8390i	0.0273916	−	1.55971i
$367$	16.3769	+	28.3657i	0.854869	+	1.48068i	0.876767	+	0.480916i	$0.159696\pi$
$367$	16.3769	+	28.3657i	0.854869	+	1.48068i	−0.0218982	+	0.999760i	$0.506971\pi$
$368$	32.5120	+	10.6367i	1.69480	+	0.554477i
$369$	0.130303	−	0.307660i	0.00678333	−	0.0160161i
$370$	−1.61412	+	0.768892i	−0.0839141	+	0.0399728i
$371$	16.4602	+	18.2601i	0.854571	+	0.948018i
$372$	27.6669	−	12.5880i	1.43446	−	0.652660i
$373$	−4.86729	−	2.81013i	−0.252019	−	0.145503i	0.368670	−	0.929560i	$-0.379813\pi$
$373$	−4.86729	−	2.81013i	−0.252019	−	0.145503i	−0.620688	+	0.784058i	$0.713147\pi$
$374$	4.40459	+	9.24647i	0.227756	+	0.478123i
$375$	−7.39253	+	14.8420i	−0.381749	+	0.766437i
$376$	−2.49343	+	10.3167i	−0.128589	+	0.532044i
$377$	10.9974			0.566395
$378$	6.03126	+	18.4831i	0.310214	+	0.950667i
$379$			3.94903i			0.202848i	0.994843	+	0.101424i	$0.0323399\pi$
$379$			3.94903i			0.202848i	−0.994843	+	0.101424i	$0.967660\pi$
$380$	7.33972	−	9.04504i	0.376520	−	0.464001i
$381$	12.2052	+	6.07919i	0.625292	+	0.311447i
$382$	20.3899	−	9.71281i	1.04324	−	0.496950i
$383$	−7.84045	+	13.5801i	−0.400628	+	0.693908i	−0.993802	−	0.111166i	$-0.964541\pi$
$383$	−7.84045	+	13.5801i	−0.400628	+	0.693908i	0.593174	+	0.805075i	$0.297875\pi$
$384$	17.2731	+	9.25416i	0.881465	+	0.472249i
$385$	−6.72623	−	2.18128i	−0.342801	−	0.111168i
$386$	9.03976	−	4.30612i	0.460112	−	0.219176i
$387$	−2.05461	−	16.6235i	−0.104442	−	0.845018i
$388$	4.84592	+	12.6624i	0.246014	+	0.642836i
$389$	−24.0727	+	13.8984i	−1.22053	+	0.704674i	−0.965031	−	0.262134i	$-0.915574\pi$
$389$	−24.0727	+	13.8984i	−1.22053	+	0.704674i	−0.255501	+	0.966809i	$0.582240\pi$
$390$	−10.4366	−	0.183287i	−0.528476	−	0.00928108i
$391$	−28.6995	−	49.7089i	−1.45139	−	2.51389i
$392$	−15.0603	+	12.8526i	−0.760659	+	0.649152i
$393$	14.0023	+	21.1368i	0.706323	+	1.06621i
$394$	0.682516	+	1.43279i	0.0343847	+	0.0721831i
$395$	23.0351	+	13.2993i	1.15902	+	0.669162i
$396$	−5.71694	+	3.03818i	−0.287287	+	0.152674i
$397$	14.3170	−	8.26590i	0.718547	−	0.414853i	−0.0956706	−	0.995413i	$-0.530500\pi$
$397$	14.3170	−	8.26590i	0.718547	−	0.414853i	0.814218	+	0.580560i	$0.197166\pi$
$398$	−0.122376	+	1.54492i	−0.00613416	+	0.0774400i
$399$	10.4348	+	2.68788i	0.522395	+	0.134562i
$400$	3.38015	−	3.03111i	0.169008	−	0.151556i
$401$	−1.89655	+	3.28493i	−0.0947094	+	0.164042i	−0.909487	−	0.415732i	$-0.863526\pi$
$401$	−1.89655	+	3.28493i	−0.0947094	+	0.164042i	0.814778	+	0.579773i	$0.196859\pi$
$402$	−0.317151	+	18.0590i	−0.0158180	+	0.900699i
$403$	−13.0737	+	7.54808i	−0.651245	+	0.375997i
$404$	0.411426	−	2.58070i	0.0204692	−	0.128395i
$405$	16.0108	−	15.5110i	0.795583	−	0.770750i
$406$	−22.0973	−	9.15149i	−1.09667	−	0.454181i
$407$	0.275370	−	0.476955i	0.0136496	−	0.0236418i
$408$	−11.2113	−	30.9106i	−0.555044	−	1.53030i
$409$	−36.0824			−1.78416			−0.892080	−	0.451877i	$-0.850755\pi$
$409$	−36.0824			−1.78416			−0.892080	+	0.451877i	$0.850755\pi$
$410$	−0.167773	−	0.352203i	−0.00828572	−	0.0173941i
$411$	2.17169	+	35.2752i	0.107121	+	1.74000i
$412$	−1.74780	−	4.56700i	−0.0861077	−	0.225000i
$413$	−9.05767	+	27.9304i	−0.445699	+	1.37437i
$414$	30.5949	−	19.5037i	1.50366	−	0.958554i
$415$	2.79609	+	4.84297i	0.137255	+	0.237732i
$416$	−8.98200	−	3.74717i	−0.440379	−	0.183720i
$417$	10.5852	−	0.651672i	0.518361	−	0.0319125i
$418$	−0.283335	+	3.57693i	−0.0138584	+	0.174954i
$419$	20.9824	−	12.1142i	1.02506	−	0.591816i	0.109492	−	0.993988i	$-0.465078\pi$
$419$	20.9824	−	12.1142i	1.02506	−	0.591816i	0.915564	+	0.402171i	$0.131744\pi$
$420$	20.8179	+	9.05307i	1.01581	+	0.441745i
$421$	8.90446	+	5.14099i	0.433977	+	0.250557i	0.701039	−	0.713123i	$-0.252720\pi$
$421$	8.90446	+	5.14099i	0.433977	+	0.250557i	−0.267063	+	0.963679i	$0.586053\pi$
$422$	−3.16810	+	4.60461i	−0.154221	+	0.224149i
$423$	6.78218	+	8.98529i	0.329761	+	0.436880i
$424$	18.1198	−	19.0363i	0.879978	−	0.924483i
$425$	−7.61817			−0.369536
$426$	−20.3914	−	0.358113i	−0.987965	−	0.0173506i
$427$	9.94375	−	30.6627i	0.481212	−	1.48387i
$428$	3.86014	−	24.2130i	0.186587	−	1.17038i
$429$	2.68053	−	1.77575i	0.129417	−	0.0857338i
$430$	−16.1123	−	11.0857i	−0.777005	−	0.534601i
$431$	1.01855	−	1.76419i	0.0490620	−	0.0849778i	−0.840451	−	0.541887i	$-0.817710\pi$
$431$	1.01855	−	1.76419i	0.0490620	−	0.0849778i	0.889513	+	0.456909i	$0.151043\pi$
$432$	19.2091	−	7.93803i	0.924196	−	0.381919i
$433$	7.59987			0.365226			0.182613	−	0.983185i	$-0.441544\pi$
$433$	7.59987			0.365226			0.182613	+	0.983185i	$0.441544\pi$
$434$	32.5503	−	4.28728i	1.56247	−	0.205796i
$435$	1.68510	+	27.3715i	0.0807945	+	1.31236i
$436$	−7.87417	+	3.01346i	−0.377105	+	0.144318i
$437$		−	20.1090i		−	0.961944i
$438$	−1.55801	+	2.59234i	−0.0744446	+	0.123867i
$439$	14.1124			0.673549			0.336775	−	0.941585i	$-0.390664\pi$
$439$	14.1124			0.673549			0.336775	+	0.941585i	$0.390664\pi$
$440$	−1.77586	+	7.34775i	−0.0846609	+	0.350290i
$441$	0.407065	+	20.9961i	0.0193841	+	0.999812i
$442$	7.02291	+	14.7431i	0.334046	+	0.701256i
$443$			30.0389i			1.42719i	0.700559	+	0.713594i	$0.252934\pi$
$443$			30.0389i			1.42719i	−0.700559	+	0.713594i	$0.747066\pi$
$444$	−1.02763	+	1.43882i	−0.0487692	+	0.0682832i
$445$			13.0536i			0.618801i
$446$	−1.70973	+	21.5843i	−0.0809582	+	1.02205i
$447$	−8.46571	−	12.7792i	−0.400414	−	0.604435i
$448$	14.9295	+	15.0036i	0.705354	+	0.708855i
$449$	−25.9854			−1.22632			−0.613162	−	0.789957i	$-0.710103\pi$
$449$	−25.9854			−1.22632			−0.613162	+	0.789957i	$0.710103\pi$
$450$	−0.211463	−	4.81092i	−0.00996845	−	0.226789i
$451$	0.104072	+	0.0600861i	0.00490057	+	0.00282935i
$452$	−18.8318	−	3.00224i	−0.885773	−	0.141213i
$453$	0.591232	+	9.60351i	0.0277785	+	0.451212i
$454$	11.8848	−	17.2737i	0.557781	−	0.810696i
$455$	−10.7247	−	3.47795i	−0.502780	−	0.163049i
$456$	2.01304	−	11.3422i	0.0942694	−	0.531147i
$457$	11.3448			0.530686			0.265343	−	0.964154i	$-0.414515\pi$
$457$	11.3448			0.530686			0.265343	+	0.964154i	$0.414515\pi$
$458$	−24.3344	−	1.92757i	−1.13707	−	0.0900695i
$459$	−32.8891	−	11.6022i	−1.53513	−	0.541546i
$460$	6.66970	−	41.8363i	0.310977	−	1.95063i
$461$	27.0395	+	15.6113i	1.25935	+	0.727089i	0.972949	−	0.231020i	$-0.0742062\pi$
$461$	27.0395	+	15.6113i	1.25935	+	0.727089i	0.286405	+	0.958109i	$0.407540\pi$
$462$	−6.86374	+	1.33745i	−0.319330	+	0.0622236i
$463$	5.27743	+	9.14077i	0.245263	+	0.424808i	0.962205	−	0.272324i	$-0.0877924\pi$
$463$	5.27743	+	9.14077i	0.245263	+	0.424808i	−0.716943	+	0.697132i	$0.754459\pi$
$464$	−7.95048	+	24.3013i	−0.369092	+	1.12816i
$465$	−20.7897	−	31.3825i	−0.964097	−	1.45533i
$466$	−3.38771	−	2.33084i	−0.156932	−	0.107974i
$467$	−7.11873	+	4.11000i	−0.329416	+	0.190188i	−0.655582	−	0.755124i	$-0.727576\pi$
$467$	−7.11873	+	4.11000i	−0.329416	+	0.190188i	0.326166	+	0.945313i	$0.394243\pi$
$468$	−9.11540	+	4.84425i	−0.421360	+	0.223925i
$469$	−6.01808	+	18.5575i	−0.277889	+	0.856905i
$470$	13.1036	+	1.03796i	0.604423	+	0.0478774i
$471$	−14.2895	+	28.6890i	−0.658424	+	1.32192i
$472$	30.5112	+	7.37419i	1.40439	+	0.339425i
$473$	6.02449			0.277006
$474$	26.3002	+	0.461884i	1.20801	+	0.0212150i
$475$	−2.31136	−	1.33447i	−0.106053	−	0.0612295i
$476$	−1.84285	−	35.4677i	−0.0844670	−	1.62566i
$477$	−3.41931	−	27.6651i	−0.156560	−	1.26670i
$478$	27.8436	+	19.1571i	1.27353	+	0.876227i
$479$	19.4461	+	33.6816i	0.888514	+	1.53895i	0.841632	+	0.540052i	$0.181595\pi$
$479$	19.4461	+	33.6816i	0.888514	+	1.53895i	0.0468825	+	0.998900i	$0.485071\pi$
$480$	7.95004	−	22.9295i	0.362868	−	1.04658i
$481$	0.439065	−	0.760484i	0.0200197	−	0.0346751i
$482$	24.9378	+	17.1579i	1.13588	+	0.781520i
$483$	37.7544	−	10.5095i	1.71789	−	0.478200i
$484$	7.03099	+	18.3720i	0.319591	+	0.835092i
$485$	14.5414	−	8.39546i	0.660289	−	0.381218i
$486$	6.41396	−	21.0917i	0.290943	−	0.956740i
$487$	0.812997	−	1.40815i	0.0368404	−	0.0638095i	−0.847017	−	0.531565i	$-0.821604\pi$
$487$	0.812997	−	1.40815i	0.0368404	−	0.0638095i	0.883858	+	0.467756i	$0.154937\pi$
$488$	−33.4960	−	8.09558i	−1.51629	−	0.366470i
$489$	−23.3645	+	1.43841i	−1.05658	+	0.0650474i
$490$	18.6552	+	15.9129i	0.842754	+	0.718870i
$491$	−25.4512	+	14.6943i	−1.14860	+	0.663144i	−0.948545	−	0.316641i	$-0.897445\pi$
$491$	−25.4512	+	14.6943i	−1.14860	+	0.663144i	−0.200053	+	0.979785i	$0.564111\pi$
$492$	−0.313951	−	0.224230i	−0.0141540	−	0.0101091i
$493$	37.1553	−	21.4516i	1.67339	−	0.966131i
$494$	−0.451765	+	5.70326i	−0.0203259	+	0.256602i
$495$	4.83039	+	6.39948i	0.217110	+	0.287635i
$496$	−7.22772	−	34.3460i	−0.324534	−	1.54218i
$497$	−20.9543	−	6.79535i	−0.939928	−	0.304813i
$498$	4.74008	+	2.84882i	0.212408	+	0.127659i
$499$	−2.19223	−	1.26568i	−0.0981375	−	0.0566597i	0.450128	−	0.892964i	$-0.351378\pi$
$499$	−2.19223	−	1.26568i	−0.0981375	−	0.0566597i	−0.548266	+	0.836304i	$0.684712\pi$
$500$	14.8672	+	12.0642i	0.664882	+	0.539528i
$501$	−0.311384	−	5.05787i	−0.0139116	−	0.225969i
$502$	6.82915	+	14.3363i	0.304800	+	0.639861i
$503$	1.32192			0.0589414			0.0294707	−	0.999566i	$-0.490618\pi$
$503$	1.32192			0.0589414			0.0294707	+	0.999566i	$0.490618\pi$
$504$	22.3469	−	2.14827i	0.995411	−	0.0956917i
$505$	−3.23644			−0.144019
$506$	5.61216	+	11.7815i	0.249491	+	0.523752i
$507$	−14.4974	+	9.60394i	−0.643851	+	0.426526i
$508$	9.92091	−	12.2259i	0.440169	−	0.542438i
$509$	−22.6537	−	13.0791i	−1.00411	−	0.579722i	−0.0946466	−	0.995511i	$-0.530172\pi$
$509$	−22.6537	−	13.0791i	−1.00411	−	0.579722i	−0.909461	+	0.415789i	$0.863505\pi$
$510$	−35.6179	+	19.7384i	−1.57719	+	0.874030i
$511$	−2.42649	+	2.18731i	−0.107342	+	0.0967610i
$512$	14.7737	−	17.1388i	0.652911	−	0.757435i
$513$	−7.94624	−	9.28127i	−0.350835	−	0.409778i
$514$	0.165735	−	2.09230i	0.00731024	−	0.0922873i
$515$	−5.24469	+	3.02802i	−0.231109	+	0.133431i
$516$	−19.2510	−	1.86559i	−0.847478	−	0.0821279i
$517$	−3.50657	+	2.02452i	−0.154219	+	0.0890383i
$518$	−1.51506	+	1.16269i	−0.0665679	+	0.0510856i
$519$	−9.35505	+	18.7821i	−0.410641	+	0.824444i
$520$	−2.83153	+	11.7156i	−0.124171	+	0.513765i
$521$	−2.16035	+	3.74183i	−0.0946465	+	0.163933i	−0.909461	−	0.415789i	$-0.863505\pi$
$521$	−2.16035	+	3.74183i	−0.0946465	+	0.163933i	0.814814	+	0.579722i	$0.196839\pi$
$522$	14.5782	+	22.8683i	0.638069	+	1.00092i
$523$	2.82249	−	1.62957i	0.123419	−	0.0712560i	−0.437020	−	0.899452i	$-0.643966\pi$
$523$	2.82249	−	1.62957i	0.123419	−	0.0712560i	0.560439	+	0.828196i	$0.310633\pi$
$524$	27.3425	−	10.4640i	1.19446	−	0.457122i
$525$	1.29746	−	5.03699i	0.0566259	−	0.219832i
$526$	2.93249	+	2.01763i	0.127862	+	0.0879729i
$527$	−29.4466	+	51.0031i	−1.28272	+	2.22173i
$528$	1.98605	+	7.20700i	0.0864318	+	0.313645i
$529$	−25.0678	−	43.4187i	−1.08990	−	1.88777i
$530$	−26.8144	−	18.4491i	−1.16474	−	0.801376i
$531$	26.5736	−	20.0580i	1.15320	−	0.870442i
$532$	5.65371	−	11.0837i	0.245119	−	0.480541i
$533$	0.165938	+	0.0958046i	0.00718759	+	0.00414976i
$534$	6.25728	+	11.2913i	0.270779	+	0.488622i
$535$	−30.3653			−1.31281
$536$	20.2722	+	4.89955i	0.875626	+	0.211628i
$537$	21.5539	+	32.5361i	0.930119	+	1.40404i
$538$	14.9771	+	1.18636i	0.645709	+	0.0511478i
$539$	−7.51263	−	0.781013i	−0.323592	−	0.0336406i
$540$	−13.4536	−	21.9451i	−0.578950	−	0.944365i
$541$	−37.3896	+	21.5869i	−1.60751	+	0.928094i	−0.617579	+	0.786508i	$0.711887\pi$
$541$	−37.3896	+	21.5869i	−1.60751	+	0.928094i	−0.989926	+	0.141585i	$0.954780\pi$
$542$	−27.4252	−	18.8693i	−1.17801	−	0.810505i
$543$	−0.263202	+	0.528431i	−0.0112951	+	0.0226772i
$544$	−37.6553	+	4.86035i	−1.61446	+	0.208386i
$545$	5.22075	+	9.04261i	0.223633	+	0.387343i
$546$	−10.9439	+	2.13250i	−0.468356	+	0.0912624i
$547$	−36.4363	−	21.0365i	−1.55790	−	0.899455i	−0.997458	−	0.0712637i	$-0.977297\pi$
$547$	−36.4363	−	21.0365i	−1.55790	−	0.899455i	−0.560445	−	0.828192i	$-0.689370\pi$
$548$	40.3005	+	6.42486i	1.72155	+	0.274456i
$549$	−29.1732	+	22.0202i	−1.24508	+	0.939798i
$550$	1.72662	+	0.136769i	0.0736232	+	0.00583183i
$551$	15.0306			0.640325
$552$	−14.2851	−	39.3852i	−0.608012	−	1.67634i
$553$	27.0263	+	8.76446i	1.14927	+	0.372703i
$554$	10.1369	−	14.7333i	0.430677	−	0.625958i
$555$	1.96005	+	0.976264i	0.0831993	+	0.0414401i
$556$	1.92795	−	12.0932i	0.0817632	−	0.512866i
$557$	8.70175	+	5.02396i	0.368705	+	0.212872i	0.672893	−	0.739740i	$-0.265052\pi$
$557$	8.70175	+	5.02396i	0.368705	+	0.212872i	−0.304188	+	0.952612i	$0.598385\pi$
$558$	−33.0261	−	17.1800i	−1.39811	−	0.727288i
$559$	9.60578			0.406281
$560$	15.4386	−	21.1843i	0.652401	−	0.895199i
$561$	5.59251	−	11.2281i	0.236116	−	0.474051i
$562$	−0.348832	+	4.40379i	−0.0147146	+	0.185763i
$563$			29.7797i			1.25506i	0.778591	+	0.627531i	$0.215935\pi$
$563$			29.7797i			1.25506i	−0.778591	+	0.627531i	$0.784065\pi$
$564$	11.8320	−	5.38340i	0.498218	−	0.226682i
$565$			23.6168i			0.993564i
$566$	−17.7885	−	37.3431i	−0.747707	−	1.56965i
$567$	13.2726	−	19.7696i	0.557396	−	0.830247i
$568$	−5.53235	+	22.8905i	−0.232132	+	0.960464i
$569$	15.2427			0.639007			0.319504	−	0.947585i	$-0.396484\pi$
$569$	15.2427			0.639007			0.319504	+	0.947585i	$0.396484\pi$
$570$	−14.2641	−	0.250505i	−0.597456	−	0.0104925i
$571$		−	16.7058i		−	0.699117i	−0.936915	−	0.349558i	$-0.886332\pi$
$571$		−	16.7058i		−	0.699117i	0.936915	−	0.349558i	$-0.113668\pi$
$572$	−1.32702	−	3.46752i	−0.0554857	−	0.144984i
$573$	−24.7597	−	12.3324i	−1.03435	−	0.515192i
$574$	−0.253700	−	0.330588i	−0.0105892	−	0.0137985i
$575$	−9.70679			−0.404801
$576$	−4.11457	−	23.6447i	−0.171440	−	0.985195i
$577$	−6.55224	+	11.3488i	−0.272773	+	0.472457i	−0.969571	−	0.244810i	$-0.921274\pi$
$577$	−6.55224	+	11.3488i	−0.272773	+	0.472457i	0.696798	+	0.717268i	$0.254608\pi$
$578$	32.6787	+	22.4839i	1.35926	+	0.935205i
$579$	−10.9771	−	5.46749i	−0.456192	−	0.227221i
$580$	31.2708	+	4.98531i	1.29845	+	0.207004i
$581$	3.99950	+	4.43684i	0.165927	+	0.184071i
$582$	8.55378	−	14.2324i	0.354566	−	0.589953i
$583$	10.0261			0.415237
$584$	2.52963	+	2.40785i	0.104677	+	0.0996377i
$585$	7.70183	+	10.2037i	0.318432	+	0.421870i
$586$	7.32958	−	10.6530i	0.302782	−	0.440072i
$587$	−11.6906	−	6.74955i	−0.482521	−	0.278584i	0.238946	−	0.971033i	$-0.423198\pi$
$587$	−11.6906	−	6.74955i	−0.482521	−	0.278584i	−0.721466	+	0.692449i	$0.756532\pi$
$588$	23.7644	+	4.82211i	0.980028	+	0.198860i
$589$	−17.8683	+	10.3163i	−0.736250	+	0.425074i
$590$	3.06971	−	38.7532i	0.126378	−	1.59544i
$591$	0.866593	−	1.73986i	0.0356469	−	0.0715682i
$592$	1.36304	+	1.52000i	0.0560208	+	0.0624716i
$593$	−5.61186	−	9.72002i	−0.230451	−	0.399153i	0.727490	−	0.686119i	$-0.240687\pi$
$593$	−5.61186	−	9.72002i	−0.230451	−	0.399153i	−0.957941	+	0.286965i	$0.907354\pi$
$594$	7.24585	+	3.22004i	0.297301	+	0.132120i
$595$	−43.0179	+	9.16919i	−1.76356	+	0.375900i
$596$	−16.5311	+	6.32647i	−0.677140	+	0.259142i
$597$	1.58235	−	1.04824i	0.0647612	−	0.0429018i
$598$	8.94833	+	18.7851i	0.365924	+	0.768179i
$599$	27.0500			1.10523			0.552616	−	0.833436i	$-0.313630\pi$
$599$	27.0500			1.10523			0.552616	+	0.833436i	$0.313630\pi$
$600$	−5.47498	−	0.971714i	−0.223515	−	0.0396701i
$601$	18.0287	−	31.2266i	0.735406	−	1.27376i	−0.219140	−	0.975694i	$-0.570325\pi$
$601$	18.0287	−	31.2266i	0.735406	−	1.27376i	0.954545	−	0.298066i	$-0.0963417\pi$
$602$	−19.3011	−	7.99345i	−0.786654	−	0.325789i
$603$	17.6560	−	13.3269i	0.719007	−	0.542713i
$604$	10.9716	+	1.74914i	0.446429	+	0.0711714i
$605$	21.0982	−	12.1811i	0.857764	−	0.495230i
$606$	−2.79949	+	1.55139i	−0.113721	+	0.0630210i
$607$	−6.50976	+	11.2752i	−0.264223	+	0.457647i	−0.967360	−	0.253407i	$-0.918449\pi$
$607$	−6.50976	+	11.2752i	−0.264223	+	0.457647i	0.703137	+	0.711055i	$0.251782\pi$
$608$	−12.2761	−	5.12140i	−0.497860	−	0.207700i
$609$	7.85540	+	28.2198i	0.318317	+	1.14352i
$610$	−3.37001	+	42.5443i	−0.136448	+	1.72257i
$611$	−5.59107	+	3.22801i	−0.226191	+	0.130591i
$612$	−21.3476	+	34.1471i	−0.862925	+	1.38031i
$613$	28.4496	+	16.4254i	1.14907	+	0.663415i	0.948660	−	0.316297i	$-0.102440\pi$
$613$	28.4496	+	16.4254i	1.14907	+	0.663415i	0.200409	+	0.979712i	$0.435773\pi$
$614$	−8.89910	−	18.6817i	−0.359138	−	0.753932i
$615$	−0.213022	+	0.427684i	−0.00858987	+	0.0172459i
$616$	−0.219077	+	8.07165i	−0.00882686	+	0.325216i
$617$	−17.2096	−	29.8079i	−0.692833	−	1.20002i	−0.970906	−	0.239462i	$-0.923029\pi$
$617$	−17.2096	−	29.8079i	−0.692833	−	1.20002i	0.278073	−	0.960560i	$-0.410304\pi$
$618$	−3.08512	+	5.13326i	−0.124102	+	0.206490i
$619$	−14.5088	+	8.37667i	−0.583159	+	0.336687i	−0.762388	−	0.647121i	$-0.775973\pi$
$619$	−14.5088	+	8.37667i	−0.583159	+	0.336687i	0.179229	+	0.983807i	$0.442640\pi$
$620$	−40.5962	+	15.5362i	−1.63038	+	0.623949i
$621$	−41.9061	−	14.7831i	−1.68163	−	0.593227i
$622$	−4.19012	+	1.99598i	−0.168008	+	0.0800314i
$623$	2.90673	+	13.6372i	0.116456	+	0.546361i
$624$	3.16667	+	11.4912i	0.126768	+	0.460018i
$625$	14.6934	−	25.4498i	0.587738	−	1.01799i
$626$	−29.3505	+	13.9812i	−1.17308	+	0.558801i
$627$	3.66358	−	2.42698i	0.146309	−	0.0969243i
$628$	28.7377	+	23.3196i	1.14676	+	0.930554i
$629$		−	3.42577i		−	0.136595i
$630$	−6.98448	−	26.9116i	−0.278268	−	1.07218i
$631$	8.79713			0.350208			0.175104	−	0.984550i	$-0.443974\pi$
$631$	8.79713			0.350208			0.175104	+	0.984550i	$0.443974\pi$
$632$	7.13548	−	29.5235i	0.283834	−	1.17438i
$633$	6.83243	−	0.420633i	0.271565	−	0.0167187i
$634$	3.25982	+	6.84327i	0.129464	+	0.271781i
$635$	−16.8867	−	9.74957i	−0.670130	−	0.386900i
$636$	−32.0378	−	3.10474i	−1.27038	−	0.123111i
$637$	−11.9785	−	1.24529i	−0.474607	−	0.0493402i
$638$	−8.80616	+	4.19484i	−0.348639	+	0.166075i
$639$	15.0481	+	19.9363i	0.595295	+	0.788670i
$640$	−23.8414	−	14.7266i	−0.942413	−	0.582122i
$641$	20.3654	+	35.2739i	0.804384	+	1.39323i	0.916706	+	0.399563i	$0.130838\pi$
$641$	20.3654	+	35.2739i	0.804384	+	1.39323i	−0.112321	+	0.993672i	$0.535829\pi$
$642$	−26.2658	+	14.5557i	−1.03663	+	0.574467i
$643$	−12.7717	+	7.37375i	−0.503667	+	0.290792i	−0.730227	−	0.683205i	$-0.760586\pi$
$643$	−12.7717	+	7.37375i	−0.503667	+	0.290792i	0.226560	+	0.973997i	$0.427252\pi$
$644$	−2.34809	−	45.1916i	−0.0925278	−	1.78080i
$645$	1.47187	+	23.9078i	0.0579547	+	0.941370i
$646$	9.59849	+	20.1499i	0.377648	+	0.792789i
$647$	5.08349	−	8.80487i	0.199853	−	0.346155i	−0.748628	−	0.662991i	$-0.769287\pi$
$647$	5.08349	−	8.80487i	0.199853	−	0.346155i	0.948481	+	0.316835i	$0.102620\pi$
$648$	−22.1566	−	12.5333i	−0.870395	−	0.492354i
$649$	5.98743	+	10.3705i	0.235027	+	0.407079i
$650$	2.75301	+	0.218071i	0.107982	+	0.00855345i
$651$	−28.7071	−	28.1560i	−1.12512	−	1.10352i
$652$	−4.25550	+	26.6930i	−0.166658	+	1.04538i
$653$	7.93047	+	4.57866i	0.310343	+	0.179177i	0.647080	−	0.762422i	$-0.275990\pi$
$653$	7.93047	+	4.57866i	0.310343	+	0.179177i	−0.336737	+	0.941599i	$0.609323\pi$
$654$	8.85050	+	5.31920i	0.346082	+	0.207997i
$655$	−18.1287	−	31.3998i	−0.708346	−	1.22689i
$656$	−0.331666	+	0.297418i	−0.0129494	+	0.0116122i
$657$	3.67627	−	0.454375i	0.143425	−	0.0177269i
$658$	13.9205	−	1.83350i	0.542676	−	0.0714772i
$659$	14.0135	+	8.09068i	0.545887	+	0.315168i	0.747462	−	0.664305i	$-0.231272\pi$
$659$	14.0135	+	8.09068i	0.545887	+	0.315168i	−0.201574	+	0.979473i	$0.564606\pi$
$660$	8.42698	−	3.83415i	0.328020	−	0.149244i
$661$		−	24.6654i		−	0.959372i	−0.877440	−	0.479686i	$-0.840751\pi$
$661$		−	24.6654i		−	0.959372i	0.877440	−	0.479686i	$-0.159249\pi$
$662$	18.0310	+	37.8521i	0.700794	+	1.47116i
$663$	8.91701	−	17.9027i	0.346308	−	0.695283i
$664$	4.40276	−	4.62543i	0.170860	−	0.179501i
$665$	−14.6578	−	4.75345i	−0.568406	−	0.184331i
$666$	2.16340	−	0.0950915i	0.0838299	−	0.00368472i
$667$	47.3418	−	27.3328i	1.83308	−	1.05833i
$668$	−5.77841	−	0.921217i	−0.223574	−	0.0356430i
$669$	22.1072	−	14.6452i	0.854714	−	0.566215i
$670$	2.03957	−	25.7483i	0.0787956	−	0.994745i
$671$	−6.57316	−	11.3850i	−0.253754	−	0.439515i
$672$	3.19957	−	25.7247i	0.123426	−	0.992354i
$673$	18.5908	−	32.2002i	0.716623	−	1.24123i	−0.245707	−	0.969344i	$-0.579020\pi$
$673$	18.5908	−	32.2002i	0.716623	−	1.24123i	0.962330	−	0.271884i	$-0.0876466\pi$
$674$	−9.35036	−	6.43331i	−0.360162	−	0.247802i
$675$	−4.48015	+	3.83572i	−0.172441	+	0.147637i
$676$	7.17707	+	18.7537i	0.276041	+	0.721297i
$677$			14.7548i			0.567075i	0.958961	+	0.283537i	$0.0915080\pi$
$677$			14.7548i			0.567075i	−0.958961	+	0.283537i	$0.908492\pi$
$678$	11.3207	+	20.4283i	0.434770	+	0.784544i
$679$	13.3219	−	12.0088i	0.511248	−	0.460854i
$680$	13.2861	+	45.1051i	0.509500	+	1.72970i
$681$	−25.6311	+	1.57796i	−0.982187	+	0.0604675i
$682$	7.58958	−	11.0309i	0.290620	−	0.422396i
$683$	14.4865	+	8.36377i	0.554310	+	0.320031i	0.750858	−	0.660463i	$-0.229640\pi$
$683$	14.4865	+	8.36377i	0.554310	+	0.320031i	−0.196549	+	0.980494i	$0.562973\pi$
$684$	−12.4584	+	6.62082i	−0.476358	+	0.253153i
$685$		−	50.5404i		−	1.93105i
$686$	23.0325	+	12.4701i	0.879385	+	0.476112i
$687$	16.5111	+	24.9239i	0.629938	+	0.950905i
$688$	−6.94441	+	21.2262i	−0.264753	+	0.809240i
$689$	15.9861			0.609022
$690$	−45.3830	+	25.1499i	−1.72770	+	0.957440i
$691$			8.23198i			0.313159i	0.987665	+	0.156580i	$0.0500468\pi$
$691$			8.23198i			0.313159i	−0.987665	+	0.156580i	$0.949953\pi$
$692$	18.8141	+	15.2669i	0.715203	+	0.580362i
$693$	6.47133	+	5.60994i	0.245825	+	0.213104i
$694$	18.9447	+	39.7702i	0.719130	+	1.50966i
$695$	−15.1660			−0.575278
$696$	29.4387	−	10.6775i	1.11587	−	0.404728i
$697$	0.747508			0.0283139
$698$	3.53740	+	0.280204i	0.133892	+	0.0106059i
$699$	0.309468	+	5.02675i	0.0117052	+	0.190129i
$700$	−5.35022	−	2.72910i	−0.202219	−	0.103150i
$701$			21.0821i			0.796261i	0.917329	+	0.398131i	$0.130341\pi$
$701$			21.0821i			0.796261i	−0.917329	+	0.398131i	$0.869659\pi$
$702$	11.5532	+	5.13421i	0.436046	+	0.193778i
$703$	0.600088	−	1.03938i	0.0226327	−	0.0392011i
$704$	8.62164	−	0.425549i	0.324940	−	0.0160385i
$705$	−8.89089	−	13.4210i	−0.334850	−	0.505464i
$706$	34.9558	+	24.0505i	1.31558	+	0.905154i
$707$	−3.38111	+	0.720677i	−0.127160	+	0.0271039i
$708$	−15.9211	−	34.9927i	−0.598353	−	1.31511i
$709$			15.4884i			0.581679i	0.956772	+	0.290840i	$0.0939346\pi$
$709$			15.4884i			0.581679i	−0.956772	+	0.290840i	$0.906065\pi$
$710$	29.0739	+	2.30300i	1.09112	+	0.0864299i
$711$	−19.4087	−	25.7134i	−0.727882	−	0.964326i
$712$	14.2988	−	4.21185i	0.535870	−	0.157846i
$713$	−37.5198	+	64.9862i	−1.40513	+	2.43375i
$714$	−32.8149	+	28.5520i	−1.22807	+	1.06853i
$715$	−3.98206	+	2.29904i	−0.148921	+	0.0859793i
$716$	42.0885	−	16.1073i	1.57292	−	0.601959i
$717$	−2.54352	−	41.3149i	−0.0949894	−	1.54293i
$718$	6.11275	+	4.20574i	0.228126	+	0.156957i
$719$	−5.02694	−	8.70691i	−0.187473	−	0.324713i	0.756934	−	0.653491i	$-0.226696\pi$
$719$	−5.02694	−	8.70691i	−0.187473	−	0.324713i	−0.944407	+	0.328778i	$0.893363\pi$
$720$	−28.1153	+	9.64229i	−1.04780	+	0.359347i
$721$	−4.80487	+	4.33125i	−0.178943	+	0.161304i
$722$	1.50433	−	18.9913i	0.0559855	−	0.706783i
$723$	−2.27807	−	37.0032i	−0.0847225	−	1.37616i
$724$	0.529329	+	0.429532i	0.0196724	+	0.0159634i
$725$		−	7.25540i		−	0.269459i
$726$	12.4108	−	20.6500i	0.460607	−	0.766393i
$727$	−15.6451	+	27.0981i	−0.580244	+	1.00501i	0.415206	+	0.909727i	$0.363709\pi$
$727$	−15.6451	+	27.0981i	−0.580244	+	1.00501i	−0.995450	+	0.0952846i	$0.969624\pi$
$728$	−0.349308	+	12.8699i	−0.0129462	+	0.476989i
$729$	−25.1834	+	9.73641i	−0.932717	+	0.360608i
$730$	2.45160	−	3.56323i	0.0907379	−	0.131881i
$731$	32.4536	−	18.7371i	1.20034	−	0.693016i
$732$	17.4787	+	38.4159i	0.646030	+	1.41989i
$733$	−24.9945	−	14.4306i	−0.923195	−	0.533007i	−0.0385419	−	0.999257i	$-0.512271\pi$
$733$	−24.9945	−	14.4306i	−0.923195	−	0.533007i	−0.884653	+	0.466250i	$0.845605\pi$
$734$	−38.1610	−	26.2558i	−1.40855	−	0.969120i
$735$	1.26396	−	30.0042i	0.0466220	−	1.10672i
$736$	−47.9790	+	6.19288i	−1.76853	+	0.228273i
$737$	3.97816	+	6.89037i	0.146537	+	0.253810i
$738$	0.0207491	+	0.472056i	0.000763784	+	0.0173766i
$739$	12.0716	+	6.96952i	0.444060	+	0.256378i	0.705318	−	0.708891i	$-0.250804\pi$
$739$	12.0716	+	6.96952i	0.444060	+	0.256378i	−0.261258	+	0.965269i	$0.584137\pi$
$740$	1.59321	−	1.96338i	0.0585675	−	0.0721751i
$741$	5.84142	−	3.86971i	0.214590	−	0.142157i
$742$	−32.1212	−	13.3028i	−1.17921	−	0.488363i
$743$	−8.31926	−	14.4094i	−0.305204	−	0.528629i	0.672103	−	0.740458i	$-0.265391\pi$
$743$	−8.31926	−	14.4094i	−0.305204	−	0.528629i	−0.977307	+	0.211829i	$0.932058\pi$
$744$	−27.6681	+	32.8986i	−1.01436	+	1.20612i
$745$	10.9605	+	18.9841i	0.401561	+	0.695524i
$746$	7.92343	+	0.627629i	0.290097	+	0.0229791i
$747$	−0.830824	−	6.72205i	−0.0303983	−	0.245947i
$748$	−11.2472	−	9.12668i	−0.411237	−	0.333704i
$749$	−31.7227	+	6.76164i	−1.15912	+	0.247065i
$750$	0.411752	−	23.4457i	0.0150350	−	0.856114i
$751$	2.56685	−	4.44591i	0.0936656	−	0.162234i	−0.815385	−	0.578919i	$-0.803475\pi$
$751$	2.56685	−	4.44591i	0.0936656	−	0.162234i	0.909051	+	0.416685i	$0.136808\pi$
$752$	−3.09100	−	14.6884i	−0.112717	−	0.535631i
$753$	8.67099	−	17.4088i	0.315988	−	0.634410i
$754$	−14.0410	+	6.68849i	−0.511344	+	0.243580i
$755$		−	13.7594i		−	0.500756i
$756$	−18.9416	−	19.9303i	−0.688900	−	0.724856i
$757$		−	27.5970i		−	1.00303i	−0.865149	−	0.501514i	$-0.832776\pi$
$757$		−	27.5970i		−	1.00303i	0.865149	−	0.501514i	$-0.167224\pi$
$758$	−2.40175	−	5.04195i	−0.0872356	−	0.183132i
$759$	7.12577	−	14.3064i	0.258649	−	0.519290i
$760$	−3.86996	+	16.0122i	−0.140378	+	0.580825i
$761$	5.74290	−	9.94699i	0.208180	−	0.360578i	−0.742961	−	0.669334i	$-0.766579\pi$
$761$	5.74290	−	9.94699i	0.208180	−	0.360578i	0.951141	+	0.308756i	$0.0999127\pi$
$762$	−19.2804	−	0.338601i	−0.698454	−	0.0122662i
$763$	7.46771	+	8.28429i	0.270349	+	0.299912i
$764$	−20.1258	+	24.8018i	−0.728124	+	0.897297i
$765$	45.9243	+	19.4504i	1.66040	+	0.703230i
$766$	1.75113	−	22.1069i	0.0632708	−	0.798754i
$767$	9.54668	+	16.5353i	0.344711	+	0.597057i
$768$	−27.6818	−	1.31001i	−0.998882	−	0.0472711i
$769$	17.3662	+	30.0792i	0.626242	+	1.08468i	0.988299	+	0.152527i	$0.0487412\pi$
$769$	17.3662	+	30.0792i	0.626242	+	1.08468i	−0.362057	+	0.932156i	$0.617925\pi$
$770$	9.91439	−	1.30585i	0.357290	−	0.0470595i
$771$	−2.14298	+	1.41964i	−0.0771777	+	0.0511272i
$772$	−8.92265	+	10.9957i	−0.321133	+	0.395745i
$773$	42.0140	+	24.2568i	1.51114	+	0.872456i	0.999915	+	0.0130078i	$0.00414062\pi$
$773$	42.0140	+	24.2568i	1.51114	+	0.872456i	0.511223	+	0.859448i	$0.329193\pi$
$774$	12.7334	+	19.9745i	0.457693	+	0.717970i
$775$	4.97975	+	8.62518i	0.178878	+	0.309826i
$776$	−13.8882	−	13.2196i	−0.498557	−	0.474556i
$777$	2.26505	+	0.583449i	0.0812584	+	0.0209311i
$778$	22.2821	−	32.3855i	0.798853	−	1.16108i
$779$	0.226795	+	0.130940i	0.00812576	+	0.00469141i
$780$	13.4364	−	6.11338i	0.481101	−	0.218894i
$781$	−7.78030	+	4.49196i	−0.278401	+	0.160735i
$782$	66.8746	+	46.0116i	2.39143	+	1.64537i
$783$	11.0498	−	31.3230i	0.394886	−	1.11939i
$784$	11.4115	−	25.5691i	0.407555	−	0.913181i
$785$	22.9169	−	39.6932i	0.817938	−	1.41671i
$786$	−30.7327	−	18.4705i	−1.09620	−	0.658822i
$787$			3.88526i			0.138495i	0.997600	+	0.0692473i	$0.0220598\pi$
$787$			3.88526i			0.138495i	−0.997600	+	0.0692473i	$0.977940\pi$
$788$	−1.74282	−	1.41423i	−0.0620852	−	0.0503799i
$789$	−0.267884	−	4.35129i	−0.00953691	−	0.154910i
$790$	−37.4987	−	2.97034i	−1.33414	−	0.105680i
$791$	5.25889	+	24.6725i	0.186985	+	0.877252i
$792$	5.45136	−	7.35599i	0.193706	−	0.261384i
$793$	−10.4806	−	18.1529i	−0.372177	−	0.644629i
$794$	−13.2521	+	19.2609i	−0.470298	+	0.683545i
$795$	2.44951	+	39.7878i	0.0868750	+	1.41113i
$796$	−0.783358	−	2.04692i	−0.0277654	−	0.0725511i
$797$	15.5445	−	8.97462i	0.550614	−	0.317897i	−0.198755	−	0.980049i	$-0.563690\pi$
$797$	15.5445	−	8.97462i	0.550614	−	0.317897i	0.749370	+	0.662152i	$0.230357\pi$
$798$	−14.9575	+	2.91457i	−0.529489	+	0.103174i
$799$	−12.5931	+	21.8119i	−0.445513	+	0.771651i
$800$	−2.47215	+	5.92576i	−0.0874035	+	0.209507i
$801$	6.16598	−	14.5585i	0.217864	−	0.514400i
$802$	0.423586	−	5.34752i	0.0149574	−	0.188827i
$803$			1.33231i			0.0470163i
$804$	−10.5783	−	23.2498i	−0.373068	−	0.819956i
$805$	−54.8118	+	11.6830i	−1.93186	+	0.411773i
$806$	12.1012	−	17.5883i	0.426248	−	0.619521i
$807$	−10.1621	−	15.3399i	−0.357723	−	0.539991i
$808$	1.04426	+	3.54516i	0.0367370	+	0.124718i
$809$	−17.8122	+	30.8517i	−0.626245	+	1.08469i	0.362054	+	0.932157i	$0.382076\pi$
$809$	−17.8122	+	30.8517i	−0.626245	+	1.08469i	−0.988299	+	0.152531i	$0.951258\pi$
$810$	−11.0083	+	29.5414i	−0.386791	+	1.03798i
$811$			36.6631i			1.28742i	0.765271	+	0.643708i	$0.222605\pi$
$811$			36.6631i			1.28742i	−0.765271	+	0.643708i	$0.777395\pi$
$812$	33.7788	−	1.75510i	1.18540	−	0.0615918i
$813$	2.50530	+	40.6941i	0.0878647	+	1.42720i
$814$	−0.0615027	+	0.776433i	−0.00215567	+	0.0272140i
$815$	33.4754			1.17259
$816$	33.1136	+	32.6468i	1.15921	+	1.14287i
$817$	13.1286			0.459311
$818$	46.0685	−	21.9449i	1.61075	−	0.767284i
$819$	10.3182	+	8.94479i	0.360548	+	0.312556i
$820$	0.428411	+	0.347640i	0.0149608	+	0.0121401i
$821$			43.7195i			1.52582i	0.646505	+	0.762910i	$0.276230\pi$
$821$			43.7195i			1.52582i	−0.646505	+	0.762910i	$0.723770\pi$
$822$	−24.2266	−	43.7170i	−0.845001	−	1.52481i
$823$	30.7665			1.07245			0.536226	−	0.844075i	$-0.319850\pi$
$823$	30.7665			1.07245			0.536226	+	0.844075i	$0.319850\pi$
$824$	5.00910	+	4.76796i	0.174500	+	0.166100i
$825$	−1.17153	−	1.76845i	−0.0407873	−	0.0615694i
$826$	−5.42249	−	41.1691i	−0.188672	−	1.43246i
$827$			22.1191i			0.769156i	0.923093	+	0.384578i	$0.125653\pi$
$827$			22.1191i			0.769156i	−0.923093	+	0.384578i	$0.874347\pi$
$828$	−27.2003	+	43.5089i	−0.945276	+	1.51204i
$829$	−2.41975	−	1.39704i	−0.0840413	−	0.0485213i	0.457390	−	0.889266i	$-0.348784\pi$
$829$	−2.41975	−	1.39704i	−0.0840413	−	0.0485213i	−0.541432	+	0.840745i	$0.682118\pi$
$830$	−6.51536	−	4.48275i	−0.226152	−	0.155599i
$831$	−21.8616	+	1.34589i	−0.758371	+	0.0466885i
$832$	13.7468	−	0.678518i	0.476585	−	0.0235234i
$833$	−42.8991	+	19.1581i	−1.48637	+	0.663790i
$834$	−13.1184	+	7.26984i	−0.454254	+	0.251734i
$835$			7.24665i			0.250781i
$836$	−1.81370	−	4.73920i	−0.0627280	−	0.163908i
$837$	8.36265	+	44.8206i	0.289056	+	1.54922i
$838$	−19.4217	+	28.2281i	−0.670912	+	0.975123i
$839$	−6.20843	+	10.7533i	−0.214339	+	0.371246i	−0.953068	−	0.302757i	$-0.902093\pi$
$839$	−6.20843	+	10.7533i	−0.214339	+	0.371246i	0.738729	+	0.674003i	$0.235426\pi$
$840$	−32.0854	+	1.10262i	−1.10705	+	0.0380441i
$841$	5.93009	+	10.2712i	0.204486	+	0.354180i
$842$	−14.4955	−	1.14822i	−0.499548	−	0.0395701i
$843$	4.51047	−	2.98801i	0.155349	−	0.102913i
$844$	1.24443	−	7.80577i	0.0428349	−	0.268686i
$845$	21.5366	−	12.4341i	0.740880	−	0.427747i
$846$	−14.1239	−	7.34719i	−0.485591	−	0.252602i
$847$	19.3289	−	17.4236i	0.664149	−	0.598684i
$848$	−11.5570	+	35.3250i	−0.396870	+	1.21306i
$849$	−22.5861	+	45.3462i	−0.775154	+	1.55628i
$850$	9.72655	−	4.63328i	0.333618	−	0.158920i
$851$		−	4.36499i		−	0.149630i
$852$	26.2526	−	11.9446i	0.899400	−	0.409214i
$853$	−18.6877	−	10.7893i	−0.639853	−	0.369419i	0.144705	−	0.989475i	$-0.453777\pi$
$853$	−18.6877	−	10.7893i	−0.639853	−	0.369419i	−0.784558	+	0.620056i	$0.787110\pi$
$854$	5.95295	+	45.1965i	0.203706	+	1.54659i
$855$	10.5264	+	13.9458i	0.359995	+	0.476935i
$856$	9.79761	+	33.2618i	0.334875	+	1.13687i
$857$	18.5418	+	32.1153i	0.633376	+	1.09704i	0.986857	+	0.161597i	$0.0516646\pi$
$857$	18.5418	+	32.1153i	0.633376	+	1.09704i	−0.353481	+	0.935442i	$0.615002\pi$
$858$	−2.34240	+	3.89746i	−0.0799681	+	0.133057i
$859$	−7.69938	−	4.44524i	−0.262700	−	0.151670i	0.362866	−	0.931841i	$-0.381798\pi$
$859$	−7.69938	−	4.44524i	−0.262700	−	0.151670i	−0.625565	+	0.780172i	$0.715132\pi$
$860$	27.3137	+	4.35446i	0.931390	+	0.148486i
$861$	−0.127309	+	0.494237i	−0.00433869	+	0.0168436i
$862$	−0.227489	+	2.87191i	−0.00774831	+	0.0978176i
$863$	−24.7762	−	42.9137i	−0.843393	−	1.46080i	−0.887010	−	0.461751i	$-0.847221\pi$
$863$	−24.7762	−	42.9137i	−0.843393	−	1.46080i	0.0436166	−	0.999048i	$-0.486112\pi$
$864$	−19.6975	+	21.8176i	−0.670122	+	0.742251i
$865$	15.0033	−	25.9864i	0.510126	−	0.883564i
$866$	−9.70319	+	4.62215i	−0.329728	+	0.157067i
$867$	−2.98521	−	48.4894i	−0.101383	−	1.64679i
$868$	−38.9514	+	25.2705i	−1.32210	+	0.857737i
$869$	10.0348	−	5.79361i	0.340408	−	0.196535i
$870$	−18.7984	−	33.9218i	−0.637327	−	1.15006i
$871$	6.34299	+	10.9864i	0.214924	+	0.372259i
$872$	8.22066	−	8.63642i	0.278387	−	0.292466i
$873$	−20.1834	+	2.49461i	−0.683106	+	0.0844297i
$874$	12.2300	+	25.6743i	0.413687	+	0.868446i
$875$	7.81318	−	24.0929i	0.264134	−	0.814488i
$876$	0.412573	−	4.25735i	0.0139396	−	0.143842i
$877$	−14.1364	−	8.16168i	−0.477354	−	0.275600i	0.241959	−	0.970286i	$-0.422210\pi$
$877$	−14.1364	−	8.16168i	−0.477354	−	0.275600i	−0.719313	+	0.694686i	$0.755543\pi$
$878$	−18.0181	+	8.58300i	−0.608083	+	0.289662i
$879$	−15.8072	+	0.973157i	−0.533163	+	0.0328238i
$880$	−2.20147	−	10.4613i	−0.0742114	−	0.352652i
$881$	−9.38744			−0.316271			−0.158135	−	0.987417i	$-0.550548\pi$
$881$	−9.38744			−0.316271			−0.158135	+	0.987417i	$0.550548\pi$
$882$	−13.2893	−	26.5593i	−0.447473	−	0.894298i
$883$		−	5.74012i		−	0.193170i	−0.995325	−	0.0965851i	$-0.969208\pi$
$883$		−	5.74012i		−	0.193170i	0.995325	−	0.0965851i	$-0.0307920\pi$
$884$	−17.9331	−	14.5521i	−0.603155	−	0.489439i
$885$	−39.6920	+	26.2944i	−1.33423	+	0.883877i
$886$	−18.2693	−	38.3523i	−0.613768	−	1.28847i
$887$	3.35379	−	5.80894i	0.112609	−	0.195045i	−0.804212	−	0.594342i	$-0.797412\pi$
$887$	3.35379	−	5.80894i	0.112609	−	0.195045i	0.916822	+	0.399297i	$0.130746\pi$
$888$	0.436965	−	2.46201i	0.0146636	−	0.0826197i
$889$	−19.8126	−	6.42511i	−0.664494	−	0.215491i
$890$	−7.93905	−	16.6663i	−0.266118	−	0.558656i
$891$	−2.36442	−	9.41892i	−0.0792109	−	0.315546i
$892$	−10.9444	−	28.5978i	−0.366446	−	0.957524i
$893$	−7.64154	+	4.41184i	−0.255714	+	0.147637i
$894$	18.5808	+	11.1672i	0.621435	+	0.373486i
$895$	−27.9056	−	48.3340i	−0.932783	−	1.61563i
$896$	−28.1864	−	10.0760i	−0.941642	−	0.336617i
$897$	11.3617	−	22.8109i	0.379357	−	0.761635i
$898$	33.1770	−	15.8040i	1.10713	−	0.527385i
$899$	−48.5743	−	28.0444i	−1.62004	−	0.935333i
$900$	3.19593	+	6.01377i	0.106531	+	0.200459i
$901$	54.0098	−	31.1826i	1.79933	−	1.03884i
$902$	−0.169419	−	0.0134200i	−0.00564102	−	0.000446836i
$903$	6.86137	+	24.6488i	0.228332	+	0.820261i
$904$	25.8695	−	7.62013i	0.860408	−	0.253442i
$905$	0.422113	−	0.731122i	0.0140315	−	0.0243033i
$906$	−6.59559	−	11.9018i	−0.219124	−	0.395410i
$907$	−14.2618	+	8.23408i	−0.473557	+	0.273408i	−0.717727	−	0.696324i	$-0.754818\pi$
$907$	−14.2618	+	8.23408i	−0.473557	+	0.273408i	0.244171	+	0.969732i	$0.421484\pi$
$908$	−4.66833	+	29.2825i	−0.154924	+	0.971774i
$909$	3.60955	+	1.52876i	0.119721	+	0.0507056i
$910$	15.8080	−	2.08212i	0.524032	−	0.0690215i
$911$	5.97782	−	10.3539i	0.198054	−	0.343039i	−0.749843	−	0.661615i	$-0.769871\pi$
$911$	5.97782	−	10.3539i	0.198054	−	0.343039i	0.947897	+	0.318576i	$0.103205\pi$
$912$	4.32801	+	15.7055i	0.143315	+	0.520062i
$913$	2.43613			0.0806242
$914$	−14.4845	+	6.89975i	−0.479105	+	0.228223i
$915$	43.5749	−	28.8667i	1.44054	−	0.954303i
$916$	32.2414	−	12.3388i	1.06529	−	0.407686i
$917$	−25.9310	−	28.7666i	−0.856318	−	0.949956i
$918$	49.0477	−	5.18951i	1.61882	−	0.171279i
$919$	−4.97677	−	8.62002i	−0.164168	−	0.284348i	0.772191	−	0.635390i	$-0.219161\pi$
$919$	−4.97677	−	8.62002i	−0.164168	−	0.284348i	−0.936360	+	0.351042i	$0.885827\pi$
$920$	16.9287	+	57.4712i	0.558123	+	1.89477i
$921$	−11.2992	+	22.6854i	−0.372321	+	0.747510i
$922$	−44.0174	−	3.48670i	−1.44964	−	0.114828i
$923$	−12.4053	+	7.16223i	−0.408327	+	0.235748i
$924$	7.94990	−	5.88203i	0.261533	−	0.193505i
$925$	−0.501719	−	0.289668i	−0.0164964	−	0.00952422i
$926$	−12.2973	−	8.46088i	−0.404114	−	0.278042i
$927$	7.27963	−	0.899740i	0.239094	−	0.0295513i
$928$	−4.62891	−	35.8622i	−0.151951	−	1.17724i
$929$	−6.11943			−0.200772			−0.100386	−	0.994949i	$-0.532008\pi$
$929$	−6.11943			−0.200772			−0.100386	+	0.994949i	$0.532008\pi$
$930$	45.6298	+	27.4238i	1.49626	+	0.899261i
$931$	−16.3715	−	1.70199i	−0.536556	−	0.0557804i
$932$	5.74286	+	0.915550i	0.188114	+	0.0299898i
$933$	5.08811	+	2.53430i	0.166577	+	0.0829691i
$934$	6.58924	−	9.57700i	0.215606	−	0.313369i
$935$	−8.96905	+	15.5348i	−0.293319	+	0.508044i
$936$	8.69194	−	11.7288i	0.284105	−	0.383368i
$937$	−52.8065			−1.72511			−0.862557	−	0.505960i	$-0.831138\pi$
$937$	−52.8065			−1.72511			−0.862557	+	0.505960i	$0.831138\pi$
$938$	−3.60280	−	27.3535i	−0.117636	−	0.893124i
$939$	35.6406	+	17.7520i	1.16309	+	0.579313i
$940$	−17.3613	+	6.64421i	−0.566265	+	0.216710i
$941$		−	44.7029i		−	1.45727i	−0.684901	−	0.728637i	$-0.740154\pi$
$941$		−	44.7029i		−	1.45727i	0.684901	−	0.728637i	$-0.259846\pi$
$942$	0.795900	−	45.3195i	0.0259318	−	1.47659i
$943$	0.952446			0.0310159
$944$	−43.4403	+	9.14149i	−1.41386	+	0.297530i
$945$	−20.6817	+	27.0516i	−0.672774	+	0.879990i
$946$	−7.69181	+	3.66402i	−0.250082	+	0.119128i
$947$			35.1233i			1.14135i	0.821175	+	0.570676i	$0.193319\pi$
$947$			35.1233i			1.14135i	−0.821175	+	0.570676i	$0.806681\pi$
$948$	−33.8599	+	15.4058i	−1.09972	+	0.500356i
$949$			2.12431i			0.0689581i
$950$	3.76265	+	0.298046i	0.122077	+	0.00966990i
$951$	4.13900	−	8.30987i	0.134216	−	0.269466i
$952$	23.9239	+	44.1628i	0.775378	+	1.43133i
$953$	−4.43736			−0.143740			−0.0718701	−	0.997414i	$-0.522897\pi$
$953$	−4.43736			−0.143740			−0.0718701	+	0.997414i	$0.522897\pi$
$954$	21.1912	+	33.2420i	0.686090	+	1.07625i
$955$	34.2568	+	19.7782i	1.10852	+	0.640006i
$956$	−47.2006	−	7.52490i	−1.52658	−	0.243373i
$957$	10.6934	+	5.32620i	0.345669	+	0.172172i
$958$	−45.3127	−	31.1764i	−1.46399	−	1.00726i
$959$	−11.2541	−	52.7997i	−0.363415	−	1.70499i
$960$	3.79515	+	34.1105i	0.122488	+	1.10091i
$961$	45.9932			1.48365
$962$	−0.0980632	+	1.23799i	−0.00316168	+	0.0399143i
$963$	33.8660	+	14.3433i	1.09132	+	0.462206i
$964$	−42.2747	−	6.73960i	−1.36158	−	0.217068i
$965$	15.1876	+	8.76854i	0.488905	+	0.282269i
$966$	−41.8115	+	36.3799i	−1.34526	+	1.17050i
$967$	−1.29556	−	2.24397i	−0.0416622	−	0.0721611i	0.844442	−	0.535646i	$-0.179932\pi$
$967$	−1.29556	−	2.24397i	−0.0416622	−	0.0721611i	−0.886105	+	0.463485i	$0.846599\pi$
$968$	−20.1505	−	19.1804i	−0.647661	−	0.616483i
$969$	12.1872	−	24.4683i	0.391510	−	0.786035i
$970$	−13.4598	+	19.5628i	−0.432167	+	0.628125i
$971$	−27.7136	+	16.0005i	−0.889372	+	0.513479i	−0.873737	−	0.486399i	$-0.838310\pi$
$971$	−27.7136	+	16.0005i	−0.889372	+	0.513479i	−0.0156350	+	0.999878i	$0.504977\pi$
$972$	4.63866	+	30.8299i	0.148785	+	0.988870i
$973$	−15.8439	+	3.37710i	−0.507933	+	0.108265i
$974$	−0.181579	+	2.29232i	−0.00581817	+	0.0734508i
$975$	−1.86794	−	2.81970i	−0.0598221	−	0.0903028i
$976$	47.6899	−	10.0358i	1.52652	−	0.321237i
$977$	35.0225			1.12047			0.560234	−	0.828334i	$-0.310711\pi$
$977$	35.0225			1.12047			0.560234	+	0.828334i	$0.310711\pi$
$978$	28.9559	−	16.0465i	0.925908	−	0.513110i
$979$	4.92472	+	2.84329i	0.157395	+	0.0908719i
$980$	−33.4961	−	8.97102i	−1.06999	−	0.286569i
$981$	−1.55128	−	12.5512i	−0.0495287	−	0.400727i
$982$	23.5582	−	34.2401i	0.751771	−	1.09265i
$983$	−21.4056	−	37.0756i	−0.682732	−	1.18253i	−0.974144	−	0.225929i	$-0.927458\pi$
$983$	−21.4056	−	37.0756i	−0.682732	−	1.18253i	0.291412	−	0.956598i	$-0.405875\pi$
$984$	0.537214	+	0.0953462i	0.0171257	+	0.00303953i
$985$	−1.38981	+	2.40722i	−0.0442829	+	0.0767003i
$986$	−34.3916	+	49.9858i	−1.09525	+	1.59187i
$987$	−12.2769	−	12.0412i	−0.390777	−	0.383274i
$988$	−2.89185	−	7.55643i	−0.0920022	−	0.240402i
$989$	41.3511	−	23.8741i	1.31489	−	0.759151i
$990$	−10.0593	−	5.23280i	−0.319706	−	0.166309i
$991$	15.3758	−	26.6316i	0.488428	−	0.845982i	−0.511483	−	0.859293i	$-0.670904\pi$
$991$	15.3758	−	26.6316i	0.488428	−	0.845982i	0.999911	+	0.0133111i	$0.00423717\pi$
$992$	30.1169	+	39.4557i	0.956212	+	1.25272i
$993$	22.8940	−	45.9642i	0.726518	−	1.45863i
$994$	30.8864	−	4.06812i	0.979656	−	0.129033i
$995$	−2.35066	+	1.35715i	−0.0745208	+	0.0430246i
$996$	−7.78455	−	0.754390i	−0.246663	−	0.0239038i
$997$	−30.0349	+	17.3407i	−0.951216	+	0.549185i	−0.893458	−	0.449146i	$-0.851728\pi$
$997$	−30.0349	+	17.3407i	−0.951216	+	0.549185i	−0.0577573	+	0.998331i	$0.518395\pi$
$998$	3.56871	+	0.282684i	0.112966	+	0.00894821i
$999$	−1.72486	−	2.01466i	−0.0545723	−	0.0637409i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cq.a.277.14	yes	184
7.2	even	3		504.2.w.a.205.75	yes	184
8.5	even	2	inner	504.2.cq.a.277.13	yes	184
9.4	even	3		504.2.w.a.445.48	yes	184
56.37	even	6		504.2.w.a.205.48	✓	184
63.58	even	3	inner	504.2.cq.a.373.14	yes	184
72.13	even	6		504.2.w.a.445.75	yes	184
504.373	even	6	inner	504.2.cq.a.373.13	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.48	✓	184	56.37	even	6
504.2.w.a.205.75	yes	184	7.2	even	3
504.2.w.a.445.48	yes	184	9.4	even	3
504.2.w.a.445.75	yes	184	72.13	even	6
504.2.cq.a.277.13	yes	184	8.5	even	2	inner
504.2.cq.a.277.14	yes	184	1.1	even	1	trivial
504.2.cq.a.373.13	yes	184	504.373	even	6	inner
504.2.cq.a.373.14	yes	184	63.58	even	3	inner

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cq (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.27676 + 0.608187i) q^{2} +(1.55038 + 0.772217i) q^{3} +(1.26022 - 1.55302i) q^{4} +(-2.14506 - 1.23845i) q^{5} +(-2.44911 - 0.0430112i) q^{6} +(-2.51672 - 0.816158i) q^{7} +(-0.664465 + 2.74927i) q^{8} +(1.80736 + 2.39446i) q^{9} +O(q^{10})\)	\(q+(-1.27676 + 0.608187i) q^{2} +(1.55038 + 0.772217i) q^{3} +(1.26022 - 1.55302i) q^{4} +(-2.14506 - 1.23845i) q^{5} +(-2.44911 - 0.0430112i) q^{6} +(-2.51672 - 0.816158i) q^{7} +(-0.664465 + 2.74927i) q^{8} +(1.80736 + 2.39446i) q^{9} +(3.49193 + 0.276602i) q^{10} +(-0.934456 + 0.539508i) q^{11} +(3.15308 - 1.43460i) q^{12} +(-1.48995 + 0.860221i) q^{13} +(3.70962 - 0.488603i) q^{14} +(-2.36931 - 3.57652i) q^{15} +(-0.823711 - 3.91427i) q^{16} +(-3.35590 + 5.81260i) q^{17} +(-3.76384 - 1.95793i) q^{18} +(-2.03637 + 1.17570i) q^{19} +(-4.62657 + 1.77059i) q^{20} +(-3.27163 - 3.20881i) q^{21} +(0.864951 - 1.25715i) q^{22} +(-4.27597 + 7.40619i) q^{23} +(-3.15321 + 3.74930i) q^{24} +(0.567520 + 0.982974i) q^{25} +(1.37912 - 2.00446i) q^{26} +(0.953055 + 5.10800i) q^{27} +(-4.43912 + 2.87997i) q^{28} +(-5.53580 - 3.19610i) q^{29} +(5.20022 + 3.12537i) q^{30} +8.77458 q^{31} +(3.43229 + 4.49660i) q^{32} +(-1.86538 + 0.114841i) q^{33} +(0.749525 - 9.46229i) q^{34} +(4.38775 + 4.86754i) q^{35} +(5.99630 + 0.210679i) q^{36} +(-0.442028 + 0.255205i) q^{37} +(1.88490 - 2.73958i) q^{38} +(-2.97426 + 0.183108i) q^{39} +(4.83015 - 5.07444i) q^{40} +(-0.0556860 - 0.0964510i) q^{41} +(6.12863 + 2.10711i) q^{42} +(-4.83529 - 2.79166i) q^{43} +(-0.339752 + 2.13112i) q^{44} +(-0.911476 - 7.37459i) q^{45} +(0.955017 - 12.0565i) q^{46} +3.75253 q^{47} +(1.74560 - 6.70469i) q^{48} +(5.66777 + 4.10808i) q^{49} +(-1.32242 - 0.909860i) q^{50} +(-9.69152 + 6.42025i) q^{51} +(-0.541719 + 3.39798i) q^{52} +(-8.04698 - 4.64593i) q^{53} +(-4.32344 - 5.94204i) q^{54} +2.67262 q^{55} +(3.91611 - 6.37684i) q^{56} +(-4.06504 + 0.250261i) q^{57} +(9.01170 + 0.713833i) q^{58} -11.0979i q^{59} +(-8.54023 - 0.827622i) q^{60} +12.1836i q^{61} +(-11.2030 + 5.33659i) q^{62} +(-2.59437 - 7.50128i) q^{63} +(-7.11697 - 3.65359i) q^{64} +4.26137 q^{65} +(2.31179 - 1.28112i) q^{66} -7.37367i q^{67} +(4.79789 + 12.5369i) q^{68} +(-12.3486 + 8.18044i) q^{69} +(-8.56246 - 3.54610i) q^{70} +8.32603 q^{71} +(-7.78395 + 3.37789i) q^{72} +(0.617374 - 1.06932i) q^{73} +(0.409150 - 0.594670i) q^{74} +(0.120803 + 1.96223i) q^{75} +(-0.740388 + 4.64415i) q^{76} +(2.79209 - 0.595129i) q^{77} +(3.68605 - 2.04269i) q^{78} -10.7387 q^{79} +(-3.08072 + 9.41646i) q^{80} +(-2.46689 + 8.65531i) q^{81} +(0.129758 + 0.0892769i) q^{82} +(-1.95525 - 1.12887i) q^{83} +(-9.10629 + 1.03709i) q^{84} +(14.3972 - 8.31224i) q^{85} +(7.87135 + 0.623504i) q^{86} +(-6.11452 - 9.23001i) q^{87} +(-0.862341 - 2.92756i) q^{88} +(-2.63507 - 4.56408i) q^{89} +(5.64887 + 8.86121i) q^{90} +(4.45186 - 0.948905i) q^{91} +(6.11329 + 15.9740i) q^{92} +(13.6039 + 6.77588i) q^{93} +(-4.79107 + 2.28224i) q^{94} +5.82418 q^{95} +(1.84900 + 9.62191i) q^{96} +(-3.38950 + 5.87079i) q^{97} +(-9.73485 - 1.79796i) q^{98} +(-2.98073 - 1.26243i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

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