LMFDB - Embedded newform 430.2.k.b.231.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (of order $7$, degree $6$, 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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 5 x^{17} + 17 x^{16} - 43 x^{15} + 90 x^{14} - 114 x^{13} + 135 x^{12} + 2 x^{11} + 313 x^{10} + \cdots + 169 $ x^18 - 5x^17 + 17x^16 - 43x^15 + 90x^14 - 114x^13 + 135x^12 + 2x^11 + 313x^10 - 632x^9 + 2382x^8 - 1755x^7 + 2203x^6 - 3817x^5 + 4882x^4 - 4217x^3 + 2612x^2 - 871*x + 169
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			231.2
Root			$0.695279 + 0.334829i$ of defining polynomial
Character	$\chi$	$=$	430.231
Dual form			430.2.k.b.121.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.222521 - 0.974928i) q^{2} +(-0.171720 + 0.752353i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.623490 - 0.781831i) q^{5} +0.771701 q^{6} -3.65146 q^{7} +(0.623490 + 0.781831i) q^{8} +(2.16636 + 1.04326i) q^{9} +O(q^{10})$	\(q+(-0.222521 - 0.974928i) q^{2} +(-0.171720 + 0.752353i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.623490 - 0.781831i) q^{5} +0.771701 q^{6} -3.65146 q^{7} +(0.623490 + 0.781831i) q^{8} +(2.16636 + 1.04326i) q^{9} +(-0.623490 + 0.781831i) q^{10} +(5.55283 + 2.67410i) q^{11} +(-0.171720 - 0.752353i) q^{12} +(0.656978 + 0.823824i) q^{13} +(0.812526 + 3.55991i) q^{14} +(0.695279 - 0.334829i) q^{15} +(0.623490 - 0.781831i) q^{16} +(1.60513 - 2.01278i) q^{17} +(0.535046 - 2.34419i) q^{18} +(2.29457 - 1.10501i) q^{19} +(0.900969 + 0.433884i) q^{20} +(0.627027 - 2.74719i) q^{21} +(1.37144 - 6.00865i) q^{22} +(4.64995 + 2.23930i) q^{23} +(-0.695279 + 0.334829i) q^{24} +(-0.222521 + 0.974928i) q^{25} +(0.656978 - 0.823824i) q^{26} +(-2.60035 + 3.26074i) q^{27} +(3.28985 - 1.58431i) q^{28} +(0.623657 + 2.73242i) q^{29} +(-0.481148 - 0.603340i) q^{30} +(1.65323 + 7.24327i) q^{31} +(-0.900969 - 0.433884i) q^{32} +(-2.96540 + 3.71849i) q^{33} +(-2.31949 - 1.11701i) q^{34} +(2.27665 + 2.85482i) q^{35} -2.40448 q^{36} +0.188932 q^{37} +(-1.58789 - 1.99115i) q^{38} +(-0.732623 + 0.352812i) q^{39} +(0.222521 - 0.974928i) q^{40} +(-1.94687 - 8.52979i) q^{41} -2.81783 q^{42} +(6.55742 - 0.0169148i) q^{43} -6.16317 q^{44} +(-0.535046 - 2.34419i) q^{45} +(1.14844 - 5.03166i) q^{46} +(-3.66149 + 1.76328i) q^{47} +(0.481148 + 0.603340i) q^{48} +6.33313 q^{49} +1.00000 q^{50} +(1.23868 + 1.55326i) q^{51} +(-0.949360 - 0.457188i) q^{52} +(-3.38710 + 4.24729i) q^{53} +(3.75762 + 1.80957i) q^{54} +(-1.37144 - 6.00865i) q^{55} +(-2.27665 - 2.85482i) q^{56} +(0.437333 + 1.91608i) q^{57} +(2.52514 - 1.21604i) q^{58} +(-4.36523 + 5.47383i) q^{59} +(-0.481148 + 0.603340i) q^{60} +(2.49333 - 10.9240i) q^{61} +(6.69378 - 3.22356i) q^{62} +(-7.91036 - 3.80943i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(0.234473 - 1.02729i) q^{65} +(4.28513 + 2.06361i) q^{66} +(5.97906 - 2.87936i) q^{67} +(-0.572866 + 2.50989i) q^{68} +(-2.48323 + 3.11387i) q^{69} +(2.27665 - 2.85482i) q^{70} +(-7.41816 + 3.57240i) q^{71} +(0.535046 + 2.34419i) q^{72} +(0.110311 + 0.138326i) q^{73} +(-0.0420414 - 0.184195i) q^{74} +(-0.695279 - 0.334829i) q^{75} +(-1.58789 + 1.99115i) q^{76} +(-20.2759 - 9.76436i) q^{77} +(0.506991 + 0.635746i) q^{78} +1.72319 q^{79} -1.00000 q^{80} +(2.49080 + 3.12337i) q^{81} +(-7.88271 + 3.79611i) q^{82} +(0.708010 - 3.10200i) q^{83} +(0.627027 + 2.74719i) q^{84} -2.57444 q^{85} +(-1.47565 - 6.38924i) q^{86} -2.16284 q^{87} +(1.37144 + 6.00865i) q^{88} +(1.21305 - 5.31473i) q^{89} +(-2.16636 + 1.04326i) q^{90} +(-2.39893 - 3.00816i) q^{91} -5.16106 q^{92} -5.73339 q^{93} +(2.53383 + 3.17732i) q^{94} +(-2.29457 - 1.10501i) q^{95} +(0.481148 - 0.603340i) q^{96} +(-3.65593 - 1.76060i) q^{97} +(-1.40925 - 6.17435i) q^{98} +(9.23963 + 11.5861i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{4}{7}\right)$

Coefficient data

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

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

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

$2$	−0.222521	−	0.974928i	−0.157346	−	0.689378i
$2$	−0.222521	−	0.974928i	−0.157346	−	0.689378i
$3$	−0.171720	+	0.752353i	−0.0991424	+	0.434371i	0.900858	+	0.434115i	$0.142939\pi$
$3$	−0.171720	+	0.752353i	−0.0991424	+	0.434371i	−1.00000		0.000256524i	$0.999918\pi$
$4$	−0.900969	+	0.433884i	−0.450484	+	0.216942i
$5$	−0.623490	−	0.781831i	−0.278833	−	0.349646i
$5$	−0.623490	−	0.781831i	−0.278833	−	0.349646i
$6$	0.771701			0.315046
$7$	−3.65146			−1.38012			−0.690060	−	0.723752i	$-0.742416\pi$
$7$	−3.65146			−1.38012			−0.690060	+	0.723752i	$0.742416\pi$
$8$	0.623490	+	0.781831i	0.220437	+	0.276419i
$9$	2.16636	+	1.04326i	0.722120	+	0.347754i
$10$	−0.623490	+	0.781831i	−0.197165	+	0.247237i
$11$	5.55283	+	2.67410i	1.67424	+	0.806272i	0.997546	+	0.0700079i	$0.0223024\pi$
$11$	5.55283	+	2.67410i	1.67424	+	0.806272i	0.676694	+	0.736264i	$0.263412\pi$
$12$	−0.171720	−	0.752353i	−0.0495712	−	0.217186i
$13$	0.656978	+	0.823824i	0.182213	+	0.228488i	0.864546	−	0.502554i	$-0.167606\pi$
$13$	0.656978	+	0.823824i	0.182213	+	0.228488i	−0.682333	+	0.731041i	$0.739035\pi$
$14$	0.812526	+	3.55991i	0.217157	+	0.951425i
$15$	0.695279	−	0.334829i	0.179520	−	0.0864524i
$16$	0.623490	−	0.781831i	0.155872	−	0.195458i
$17$	1.60513	−	2.01278i	0.389302	−	0.488170i	−0.548102	−	0.836411i	$-0.684650\pi$
$17$	1.60513	−	2.01278i	0.389302	−	0.488170i	0.937405	+	0.348241i	$0.113221\pi$
$18$	0.535046	−	2.34419i	0.126112	−	0.552531i
$19$	2.29457	−	1.10501i	0.526411	−	0.253506i	−0.151751	−	0.988419i	$-0.548491\pi$
$19$	2.29457	−	1.10501i	0.526411	−	0.253506i	0.678162	+	0.734913i	$0.262777\pi$
$20$	0.900969	+	0.433884i	0.201463	+	0.0970194i
$21$	0.627027	−	2.74719i	0.136829	−	0.599485i
$22$	1.37144	−	6.00865i	0.292391	−	1.28105i
$23$	4.64995	+	2.23930i	0.969582	+	0.466926i	0.850510	−	0.525960i	$-0.176294\pi$
$23$	4.64995	+	2.23930i	0.969582	+	0.466926i	0.119072	+	0.992886i	$0.462008\pi$
$24$	−0.695279	+	0.334829i	−0.141923	+	0.0683466i
$25$	−0.222521	+	0.974928i	−0.0445042	+	0.194986i
$26$	0.656978	−	0.823824i	0.128844	−	0.161565i
$27$	−2.60035	+	3.26074i	−0.500438	+	0.627530i
$28$	3.28985	−	1.58431i	0.621723	−	0.299406i
$29$	0.623657	+	2.73242i	0.115810	+	0.507398i	0.999245	+	0.0388441i	$0.0123676\pi$
$29$	0.623657	+	2.73242i	0.115810	+	0.507398i	−0.883435	+	0.468554i	$0.844775\pi$
$30$	−0.481148	−	0.603340i	−0.0878452	−	0.110154i
$31$	1.65323	+	7.24327i	0.296929	+	1.30093i	0.874674	+	0.484712i	$0.161076\pi$
$31$	1.65323	+	7.24327i	0.296929	+	1.30093i	−0.577745	+	0.816217i	$0.696067\pi$
$32$	−0.900969	−	0.433884i	−0.159270	−	0.0767005i
$33$	−2.96540	+	3.71849i	−0.516210	+	0.647307i
$34$	−2.31949	−	1.11701i	−0.397789	−	0.191565i
$35$	2.27665	+	2.85482i	0.384823	+	0.482553i
$36$	−2.40448			−0.400746
$37$	0.188932			0.0310603			0.0155301	−	0.999879i	$-0.495056\pi$
$37$	0.188932			0.0310603			0.0155301	+	0.999879i	$0.495056\pi$
$38$	−1.58789	−	1.99115i	−0.257590	−	0.323008i
$39$	−0.732623	+	0.352812i	−0.117314	+	0.0564952i
$40$	0.222521	−	0.974928i	0.0351836	−	0.154150i
$41$	−1.94687	−	8.52979i	−0.304050	−	1.33213i	−0.863954	−	0.503571i	$-0.832019\pi$
$41$	−1.94687	−	8.52979i	−0.304050	−	1.33213i	0.559904	−	0.828558i	$-0.310838\pi$
$42$	−2.81783			−0.434801
$43$	6.55742	−	0.0169148i	0.999997	−	0.00257949i
$43$	6.55742	−	0.0169148i	0.999997	−	0.00257949i
$44$	−6.16317			−0.929134
$45$	−0.535046	−	2.34419i	−0.0797600	−	0.349451i
$46$	1.14844	−	5.03166i	0.169329	−	0.741877i
$47$	−3.66149	+	1.76328i	−0.534083	+	0.257201i	−0.681429	−	0.731884i	$-0.738641\pi$
$47$	−3.66149	+	1.76328i	−0.534083	+	0.257201i	0.147346	+	0.989085i	$0.452927\pi$
$48$	0.481148	+	0.603340i	0.0694477	+	0.0870847i
$49$	6.33313			0.904733
$50$	1.00000			0.141421
$51$	1.23868	+	1.55326i	0.173451	+	0.217500i
$52$	−0.949360	−	0.457188i	−0.131653	−	0.0634005i
$53$	−3.38710	+	4.24729i	−0.465254	+	0.583410i	−0.958002	−	0.286762i	$-0.907421\pi$
$53$	−3.38710	+	4.24729i	−0.465254	+	0.583410i	0.492748	+	0.870172i	$0.335992\pi$
$54$	3.75762	+	1.80957i	0.511347	+	0.246252i
$55$	−1.37144	−	6.00865i	−0.184924	−	0.810206i
$56$	−2.27665	−	2.85482i	−0.304230	−	0.381492i
$57$	0.437333	+	1.91608i	0.0579261	+	0.253791i
$58$	2.52514	−	1.21604i	0.331567	−	0.159674i
$59$	−4.36523	+	5.47383i	−0.568305	+	0.712632i	−0.980069	−	0.198659i	$-0.936341\pi$
$59$	−4.36523	+	5.47383i	−0.568305	+	0.712632i	0.411764	+	0.911291i	$0.364913\pi$
$60$	−0.481148	+	0.603340i	−0.0621159	+	0.0778909i
$61$	2.49333	−	10.9240i	0.319238	−	1.39867i	−0.519654	−	0.854377i	$-0.673939\pi$
$61$	2.49333	−	10.9240i	0.319238	−	1.39867i	0.838892	−	0.544298i	$-0.183204\pi$
$62$	6.69378	−	3.22356i	0.850111	−	0.409392i
$63$	−7.91036	−	3.80943i	−0.996612	−	0.479943i
$64$	−0.222521	+	0.974928i	−0.0278151	+	0.121866i
$65$	0.234473	−	1.02729i	0.0290827	−	0.127420i
$66$	4.28513	+	2.06361i	0.527463	+	0.254013i
$67$	5.97906	−	2.87936i	0.730458	−	0.351770i	−0.0314063	−	0.999507i	$-0.509999\pi$
$67$	5.97906	−	2.87936i	0.730458	−	0.351770i	0.761864	+	0.647737i	$0.224284\pi$
$68$	−0.572866	+	2.50989i	−0.0694702	+	0.304369i
$69$	−2.48323	+	3.11387i	−0.298946	+	0.374866i
$70$	2.27665	−	2.85482i	0.272111	−	0.341217i
$71$	−7.41816	+	3.57240i	−0.880374	+	0.423966i	−0.818761	−	0.574134i	$-0.805339\pi$
$71$	−7.41816	+	3.57240i	−0.880374	+	0.423966i	−0.0616129	+	0.998100i	$0.519624\pi$
$72$	0.535046	+	2.34419i	0.0630558	+	0.276266i
$73$	0.110311	+	0.138326i	0.0129109	+	0.0161898i	0.788245	−	0.615361i	$-0.210990\pi$
$73$	0.110311	+	0.138326i	0.0129109	+	0.0161898i	−0.775334	+	0.631551i	$0.782419\pi$
$74$	−0.0420414	−	0.184195i	−0.00488721	−	0.0214123i
$75$	−0.695279	−	0.334829i	−0.0802839	−	0.0386627i
$76$	−1.58789	+	1.99115i	−0.182144	+	0.228401i
$77$	−20.2759	−	9.76436i	−2.31065	−	1.11275i
$78$	0.506991	+	0.635746i	0.0574054	+	0.0719841i
$79$	1.72319			0.193874			0.0969371	−	0.995291i	$-0.469095\pi$
$79$	1.72319			0.193874			0.0969371	+	0.995291i	$0.469095\pi$
$80$	−1.00000			−0.111803
$81$	2.49080	+	3.12337i	0.276756	+	0.347041i
$82$	−7.88271	+	3.79611i	−0.870500	+	0.419211i
$83$	0.708010	−	3.10200i	0.0777142	−	0.340488i	−0.921092	−	0.389346i	$-0.872701\pi$
$83$	0.708010	−	3.10200i	0.0777142	−	0.340488i	0.998806	+	0.0488579i	$0.0155581\pi$
$84$	0.627027	+	2.74719i	0.0684143	+	0.299742i
$85$	−2.57444			−0.279237
$86$	−1.47565	−	6.38924i	−0.159124	−	0.688970i
$87$	−2.16284			−0.231881
$88$	1.37144	+	6.00865i	0.146196	+	0.640524i
$89$	1.21305	−	5.31473i	0.128583	−	0.563360i	−0.869058	−	0.494711i	$-0.835274\pi$
$89$	1.21305	−	5.31473i	0.128583	−	0.563360i	0.997641	−	0.0686491i	$-0.0218689\pi$
$90$	−2.16636	+	1.04326i	−0.228354	+	0.109970i
$91$	−2.39893	−	3.00816i	−0.251476	−	0.315341i
$92$	−5.16106			−0.538077
$93$	−5.73339			−0.594524
$94$	2.53383	+	3.17732i	0.261344	+	0.327715i
$95$	−2.29457	−	1.10501i	−0.235418	−	0.113371i
$96$	0.481148	−	0.603340i	0.0491070	−	0.0615782i
$97$	−3.65593	−	1.76060i	−0.371203	−	0.178762i	0.238976	−	0.971025i	$-0.423188\pi$
$97$	−3.65593	−	1.76060i	−0.371203	−	0.178762i	−0.610179	+	0.792263i	$0.708903\pi$
$98$	−1.40925	−	6.17435i	−0.142356	−	0.623703i
$99$	9.23963	+	11.5861i	0.928617	+	1.16445i
$100$	−0.222521	−	0.974928i	−0.0222521	−	0.0974928i
$101$	−9.76693	+	4.70351i	−0.971846	+	0.468016i	−0.851293	−	0.524690i	$-0.824181\pi$
$101$	−9.76693	+	4.70351i	−0.971846	+	0.468016i	−0.120553	+	0.992707i	$0.538467\pi$
$102$	1.23868	−	1.55326i	0.122648	−	0.153796i
$103$	−11.0659	+	13.8762i	−1.09035	+	1.36726i	−0.165819	+	0.986156i	$0.553027\pi$
$103$	−11.0659	+	13.8762i	−1.09035	+	1.36726i	−0.924533	+	0.381102i	$0.875545\pi$
$104$	−0.234473	+	1.02729i	−0.0229919	+	0.100734i
$105$	−2.53878	+	1.22261i	−0.247760	+	0.119315i
$106$	4.89450	+	2.35707i	0.475396	+	0.228939i
$107$	0.315519	−	1.38238i	0.0305024	−	0.133640i	−0.957384	−	0.288818i	$-0.906738\pi$
$107$	0.315519	−	1.38238i	0.0305024	−	0.133640i	0.987887	+	0.155178i	$0.0495950\pi$
$108$	0.928055	−	4.06608i	0.0893022	−	0.391258i
$109$	10.1989	+	4.91155i	0.976882	+	0.470442i	0.853032	−	0.521859i	$-0.174761\pi$
$109$	10.1989	+	4.91155i	0.976882	+	0.470442i	0.123850	+	0.992301i	$0.460476\pi$
$110$	−5.55283	+	2.67410i	−0.529441	+	0.254966i
$111$	−0.0324434	+	0.142144i	−0.00307939	+	0.0134917i
$112$	−2.27665	+	2.85482i	−0.215123	+	0.269755i
$113$	5.14572	−	6.45252i	0.484068	−	0.607002i	−0.478485	−	0.878096i	$-0.658814\pi$
$113$	5.14572	−	6.45252i	0.484068	−	0.607002i	0.962553	+	0.271093i	$0.0873852\pi$
$114$	1.77072	−	0.852736i	0.165843	−	0.0798660i
$115$	−1.14844	−	5.03166i	−0.107093	−	0.469204i
$116$	−1.74745	−	2.19123i	−0.162247	−	0.203451i
$117$	0.563784	+	2.47010i	0.0521218	+	0.228361i
$118$	6.30794	+	3.03775i	0.580693	+	0.279647i
$119$	−5.86108	+	7.34956i	−0.537284	+	0.673733i
$120$	0.695279	+	0.334829i	0.0634700	+	0.0305655i
$121$	16.8247	+	21.0975i	1.52952	+	1.91796i
$122$	−11.2049			−1.01445
$123$	6.75173			0.608783
$124$	−4.63224	−	5.80865i	−0.415988	−	0.521632i
$125$	0.900969	−	0.433884i	0.0805851	−	0.0388077i
$126$	−1.95370	+	8.55971i	−0.174049	+	0.762560i
$127$	−4.06339	−	17.8029i	−0.360568	−	1.57975i	−0.751757	−	0.659441i	$-0.770793\pi$
$127$	−4.06339	−	17.8029i	−0.360568	−	1.57975i	0.391189	−	0.920310i	$-0.372064\pi$
$128$	1.00000			0.0883883
$129$	−1.11331	+	4.93640i	−0.0980216	+	0.434626i
$130$	−1.05371			−0.0924165
$131$	3.47102	+	15.2075i	0.303265	+	1.32869i	0.865166	+	0.501485i	$0.167213\pi$
$131$	3.47102	+	15.2075i	0.303265	+	1.32869i	−0.561902	+	0.827204i	$0.689930\pi$
$132$	1.05834	−	4.63688i	0.0921166	−	0.403589i
$133$	−8.37853	+	4.03489i	−0.726510	+	0.349869i
$134$	−4.13764	−	5.18843i	−0.357437	−	0.448212i
$135$	4.17064			0.358952
$136$	2.57444			0.220756
$137$	−4.23506	−	5.31060i	−0.361825	−	0.453715i	0.567283	−	0.823523i	$-0.307995\pi$
$137$	−4.23506	−	5.31060i	−0.361825	−	0.453715i	−0.929108	+	0.369808i	$0.879423\pi$
$138$	3.58837	+	1.72807i	0.305463	+	0.147103i
$139$	10.6060	−	13.2996i	0.899593	−	1.12805i	−0.0916226	−	0.995794i	$-0.529205\pi$
$139$	10.6060	−	13.2996i	0.899593	−	1.12805i	0.991215	−	0.132260i	$-0.0422232\pi$
$140$	−3.28985	−	1.58431i	−0.278043	−	0.133898i
$141$	−0.697859	−	3.05752i	−0.0587703	−	0.257490i
$142$	5.13353	+	6.43724i	0.430796	+	0.540201i
$143$	1.44510	+	6.33138i	0.120845	+	0.529456i
$144$	2.16636	−	1.04326i	0.180530	−	0.0869386i
$145$	1.74745	−	2.19123i	0.145118	−	0.181972i
$146$	0.110311	−	0.138326i	0.00912941	−	0.0114479i
$147$	−1.08752	+	4.76475i	−0.0896975	+	0.392990i
$148$	−0.170222	+	0.0819746i	−0.0139922	+	0.00673827i
$149$	−15.9079	−	7.66086i	−1.30323	−	0.627602i	−0.351974	−	0.936010i	$-0.614490\pi$
$149$	−15.9079	−	7.66086i	−1.30323	−	0.627602i	−0.951254	+	0.308408i	$0.900204\pi$
$150$	−0.171720	+	0.752353i	−0.0140209	+	0.0614294i
$151$	−0.997014	+	4.36820i	−0.0811358	+	0.355479i	−0.999157	−	0.0410520i	$-0.986929\pi$
$151$	−0.997014	+	4.36820i	−0.0811358	+	0.355479i	0.918021	+	0.396531i	$0.129786\pi$
$152$	2.29457	+	1.10501i	0.186114	+	0.0896279i
$153$	5.57715	−	2.68582i	0.450886	−	0.217135i
$154$	−5.00774	+	21.9403i	−0.403535	+	1.76800i
$155$	4.63224	−	5.80865i	0.372071	−	0.466562i
$156$	0.506991	−	0.635746i	0.0405917	−	0.0509004i
$157$	15.1100	−	7.27658i	1.20591	−	0.580734i	0.280553	−	0.959838i	$-0.409482\pi$
$157$	15.1100	−	7.27658i	1.20591	−	0.580734i	0.925354	+	0.379104i	$0.123768\pi$
$158$	−0.383446	−	1.67999i	−0.0305054	−	0.133653i
$159$	−2.61383	−	3.27764i	−0.207290	−	0.259934i
$160$	0.222521	+	0.974928i	0.0175918	+	0.0770748i
$161$	−16.9791	−	8.17670i	−1.33814	−	0.644414i
$162$	2.49080	−	3.12337i	0.195696	−	0.245395i
$163$	−15.6731	−	7.54777i	−1.22761	−	0.591187i	−0.296191	−	0.955129i	$-0.595716\pi$
$163$	−15.6731	−	7.54777i	−1.22761	−	0.591187i	−0.931422	+	0.363942i	$0.881431\pi$
$164$	5.45500	+	6.84036i	0.425964	+	0.534142i
$165$	4.75613			0.370264
$166$	−3.18177			−0.246953
$167$	0.370802	+	0.464971i	0.0286935	+	0.0359806i	0.795971	−	0.605334i	$-0.206961\pi$
$167$	0.370802	+	0.464971i	0.0286935	+	0.0359806i	−0.767278	+	0.641315i	$0.778389\pi$
$168$	2.53878	−	1.22261i	0.195871	−	0.0943266i
$169$	2.64571	−	11.5916i	0.203516	−	0.891661i
$170$	0.572866	+	2.50989i	0.0439368	+	0.192500i
$171$	6.12368			0.468289
$172$	−5.90069	+	2.86040i	−0.449923	+	0.218103i
$173$	−2.76979			−0.210583			−0.105292	−	0.994441i	$-0.533578\pi$
$173$	−2.76979			−0.210583			−0.105292	+	0.994441i	$0.533578\pi$
$174$	0.481277	+	2.10861i	0.0364855	+	0.159854i
$175$	0.812526	−	3.55991i	0.0614212	−	0.269104i
$176$	5.55283	−	2.67410i	0.418560	−	0.201568i
$177$	−3.36866	−	4.22416i	−0.253204	−	0.317507i
$178$	−5.45141			−0.408600
$179$	1.74047			0.130089			0.0650446	−	0.997882i	$-0.479281\pi$
$179$	1.74047			0.130089			0.0650446	+	0.997882i	$0.479281\pi$
$180$	1.49917	+	1.87990i	0.111741	+	0.140119i
$181$	−15.8084	−	7.61293i	−1.17503	−	0.565865i	−0.258571	−	0.965992i	$-0.583252\pi$
$181$	−15.8084	−	7.61293i	−1.17503	−	0.565865i	−0.916460	+	0.400127i	$0.868966\pi$
$182$	−2.39893	+	3.00816i	−0.177820	+	0.222979i
$183$	7.79055	+	3.75173i	0.575894	+	0.277336i
$184$	1.14844	+	5.03166i	0.0846643	+	0.370939i
$185$	−0.117797	−	0.147713i	−0.00866063	−	0.0108601i
$186$	1.27580	+	5.58964i	0.0935461	+	0.409852i
$187$	14.2954	−	6.88430i	1.04538	−	0.503430i
$188$	2.53383	−	3.17732i	0.184798	−	0.231730i
$189$	9.49508	−	11.9064i	0.690665	−	0.866067i
$190$	−0.566712	+	2.48293i	−0.0411136	+	0.180131i
$191$	5.94276	−	2.86188i	0.430003	−	0.207078i	−0.206347	−	0.978479i	$-0.566158\pi$
$191$	5.94276	−	2.86188i	0.430003	−	0.207078i	0.636350	+	0.771400i	$0.280443\pi$
$192$	−0.695279	−	0.334829i	−0.0501774	−	0.0241642i
$193$	−2.98544	+	13.0800i	−0.214896	+	0.941522i	0.746290	+	0.665621i	$0.231833\pi$
$193$	−2.98544	+	13.0800i	−0.214896	+	0.941522i	−0.961186	+	0.275901i	$0.911024\pi$
$194$	−0.902939	+	3.95604i	−0.0648273	+	0.284027i
$195$	0.732623	+	0.352812i	0.0524642	+	0.0252654i
$196$	−5.70596	+	2.74784i	−0.407568	+	0.196275i
$197$	2.48403	−	10.8833i	0.176980	−	0.775400i	−0.806034	−	0.591869i	$-0.798390\pi$
$197$	2.48403	−	10.8833i	0.176980	−	0.775400i	0.983014	−	0.183531i	$-0.0587528\pi$
$198$	9.23963	−	11.5861i	0.656632	−	0.823390i
$199$	12.3318	−	15.4636i	0.874178	−	1.09618i	−0.120455	−	0.992719i	$-0.538435\pi$
$199$	12.3318	−	15.4636i	0.874178	−	1.09618i	0.994633	−	0.103466i	$-0.0329933\pi$
$200$	−0.900969	+	0.433884i	−0.0637081	+	0.0306802i
$201$	1.13958	+	4.99281i	0.0803795	+	0.352165i
$202$	6.75893	+	8.47543i	0.475556	+	0.596329i
$203$	−2.27726	−	9.97731i	−0.159832	−	0.700270i
$204$	−1.78995	−	0.861995i	−0.125322	−	0.0603517i
$205$	−5.45500	+	6.84036i	−0.380994	+	0.477751i
$206$	15.9906	+	7.70069i	1.11412	+	0.536532i
$207$	7.73728	+	9.70225i	0.537778	+	0.674353i
$208$	1.05371			0.0730617
$209$	15.6963			1.08573
$210$	1.75689	+	2.20307i	0.121237	+	0.152026i
$211$	−2.04390	+	0.984291i	−0.140708	+	0.0677614i	−0.502913	−	0.864337i	$-0.667738\pi$
$211$	−2.04390	+	0.984291i	−0.140708	+	0.0677614i	0.362205	+	0.932098i	$0.382024\pi$
$212$	1.20884	−	5.29628i	0.0830236	−	0.363750i
$213$	−1.41386	−	6.19453i	−0.0968762	−	0.424442i
$214$	−1.41793			−0.0969278
$215$	−4.10171	−	5.11625i	−0.279734	−	0.348925i
$216$	−4.17064			−0.283776
$217$	−6.03669	−	26.4485i	−0.409797	−	1.79544i
$218$	2.51893	−	11.0362i	0.170604	−	0.747463i
$219$	−0.123012	+	0.0592396i	−0.00831240	+	0.00400304i
$220$	3.84268	+	4.81856i	0.259073	+	0.324868i
$221$	2.71271			0.182477
$222$	0.145799			0.00978540
$223$	15.1242	+	18.9651i	1.01279	+	1.27000i	0.962505	+	0.271265i	$0.0874418\pi$
$223$	15.1242	+	18.9651i	1.01279	+	1.27000i	0.0502860	+	0.998735i	$0.483987\pi$
$224$	3.28985	+	1.58431i	0.219812	+	0.105856i
$225$	−1.49917	+	1.87990i	−0.0999445	+	0.125326i
$226$	−7.43578	−	3.58088i	−0.494620	−	0.238197i
$227$	4.89217	+	21.4340i	0.324704	+	1.42262i	0.829076	+	0.559136i	$0.188867\pi$
$227$	4.89217	+	21.4340i	0.324704	+	1.42262i	−0.504371	+	0.863487i	$0.668276\pi$
$228$	−1.22538	−	1.53658i	−0.0811527	−	0.101762i
$229$	−3.01097	−	13.1919i	−0.198970	−	0.871746i	−0.971551	−	0.236830i	$-0.923892\pi$
$229$	−3.01097	−	13.1919i	−0.198970	−	0.871746i	0.772581	−	0.634916i	$-0.218965\pi$
$230$	−4.64995	+	2.23930i	−0.306609	+	0.147655i
$231$	10.8280	−	13.5779i	0.712432	−	0.893361i
$232$	−1.74745	+	2.19123i	−0.114726	+	0.143861i
$233$	0.242941	−	1.06439i	0.0159156	−	0.0697307i	−0.966346	−	0.257244i	$-0.917186\pi$
$233$	0.242941	−	1.06439i	0.0159156	−	0.0697307i	0.982262	+	0.187513i	$0.0600428\pi$
$234$	2.28271	−	1.09930i	0.149226	−	0.0718633i
$235$	3.66149	+	1.76328i	0.238849	+	0.115024i
$236$	1.55793	−	6.82575i	0.101413	−	0.444319i
$237$	−0.295906	+	1.29645i	−0.0192212	+	0.0842134i
$238$	8.46951	+	4.07870i	0.548997	+	0.264383i
$239$	20.8994	−	10.0646i	1.35187	−	0.651026i	0.389061	−	0.921212i	$-0.372800\pi$
$239$	20.8994	−	10.0646i	1.35187	−	0.651026i	0.962808	+	0.270187i	$0.0870854\pi$
$240$	0.171720	−	0.752353i	0.0110845	−	0.0485642i
$241$	2.47001	−	3.09729i	0.159107	−	0.199514i	−0.695888	−	0.718151i	$-0.744989\pi$
$241$	2.47001	−	3.09729i	0.159107	−	0.199514i	0.854995	+	0.518637i	$0.173560\pi$
$242$	16.8247	−	21.0975i	1.08153	−	1.35620i
$243$	−14.0505	+	6.76634i	−0.901337	+	0.434061i
$244$	2.49333	+	10.9240i	0.159619	+	0.699337i
$245$	−3.94864	−	4.95144i	−0.252270	−	0.316336i
$246$	−1.50240	−	6.58245i	−0.0957896	−	0.419682i
$247$	2.41781	+	1.16436i	0.153842	+	0.0740863i
$248$	−4.63224	+	5.80865i	−0.294148	+	0.368850i
$249$	2.21222	+	1.06535i	0.140194	+	0.0675137i
$250$	−0.623490	−	0.781831i	−0.0394330	−	0.0494474i
$251$	−29.9808			−1.89237			−0.946186	−	0.323624i	$-0.895099\pi$
$251$	−29.9808			−1.89237			−0.946186	+	0.323624i	$0.895099\pi$
$252$	8.77984			0.553078
$253$	19.8323	+	24.8689i	1.24684	+	1.56349i
$254$	−16.4523	+	7.92303i	−1.03231	+	0.497135i
$255$	0.442082	−	1.93689i	0.0276842	−	0.121292i
$256$	−0.222521	−	0.974928i	−0.0139076	−	0.0609330i
$257$	6.46996			0.403585			0.201792	−	0.979428i	$-0.435323\pi$
$257$	6.46996			0.403585			0.201792	+	0.979428i	$0.435323\pi$
$258$	5.06037	−	0.0130532i	0.315045	−	0.000812657i
$259$	−0.689878			−0.0428669
$260$	0.234473	+	1.02729i	0.0145414	+	0.0637099i
$261$	−1.49957	+	6.57004i	−0.0928210	+	0.406675i
$262$	14.0539	−	6.76799i	0.868252	−	0.418128i
$263$	18.1991	+	22.8210i	1.12221	+	1.40720i	0.901994	+	0.431748i	$0.142103\pi$
$263$	18.1991	+	22.8210i	1.12221	+	1.40720i	0.220211	+	0.975452i	$0.429325\pi$
$264$	−4.75613			−0.292720
$265$	5.43249			0.333715
$266$	5.79812	+	7.27061i	0.355506	+	0.445790i
$267$	3.79025	+	1.82529i	0.231959	+	0.111706i
$268$	−4.13764	+	5.18843i	−0.252746	+	0.316934i
$269$	−4.51244	−	2.17307i	−0.275128	−	0.132495i	0.291232	−	0.956652i	$-0.405935\pi$
$269$	−4.51244	−	2.17307i	−0.275128	−	0.132495i	−0.566360	+	0.824158i	$0.691649\pi$
$270$	−0.928055	−	4.06608i	−0.0564796	−	0.247453i
$271$	−0.649974	−	0.815042i	−0.0394831	−	0.0495103i	0.761698	−	0.647932i	$-0.224366\pi$
$271$	−0.649974	−	0.815042i	−0.0394831	−	0.0495103i	−0.801181	+	0.598422i	$0.795795\pi$
$272$	−0.572866	−	2.50989i	−0.0347351	−	0.152184i
$273$	2.67514	−	1.28828i	0.161907	−	0.0779702i
$274$	−4.23506	+	5.31060i	−0.255849	+	0.320825i
$275$	−3.84268	+	4.81856i	−0.231722	+	0.290570i
$276$	0.886255	−	3.88294i	0.0533463	−	0.233725i
$277$	−10.8398	+	5.22018i	−0.651301	+	0.313650i	−0.730201	−	0.683233i	$-0.760574\pi$
$277$	−10.8398	+	5.22018i	−0.651301	+	0.313650i	0.0788999	+	0.996883i	$0.474859\pi$
$278$	−15.3262	−	7.38069i	−0.919203	−	0.442665i
$279$	−3.97515	+	17.4163i	−0.237986	+	1.04268i
$280$	−0.812526	+	3.55991i	−0.0485577	+	0.212745i
$281$	−3.74228	−	1.80219i	−0.223245	−	0.107509i	0.318918	−	0.947782i	$-0.396680\pi$
$281$	−3.74228	−	1.80219i	−0.223245	−	0.107509i	−0.542164	+	0.840273i	$0.682395\pi$
$282$	−2.82557	+	1.36072i	−0.168260	+	0.0810300i
$283$	4.01738	−	17.6013i	0.238808	−	1.04629i	−0.703277	−	0.710916i	$-0.748281\pi$
$283$	4.01738	−	17.6013i	0.238808	−	1.04629i	0.942086	−	0.335372i	$-0.108862\pi$
$284$	5.13353	−	6.43724i	0.304619	−	0.381980i
$285$	1.22538	−	1.53658i	0.0725852	−	0.0910189i
$286$	5.85107	−	2.81773i	0.345981	−	0.166616i
$287$	7.10891	+	31.1461i	0.419625	+	1.83850i
$288$	−1.49917	−	1.87990i	−0.0883393	−	0.110774i
$289$	2.30805	+	10.1122i	0.135768	+	0.594837i
$290$	−2.52514	−	1.21604i	−0.148281	−	0.0714084i
$291$	1.95239	−	2.44822i	0.114451	−	0.143517i
$292$	−0.159404	−	0.0767650i	−0.00932842	−	0.00449233i
$293$	−18.4121	−	23.0881i	−1.07565	−	1.34882i	−0.933339	−	0.358997i	$-0.883119\pi$
$293$	−18.4121	−	23.0881i	−1.07565	−	1.34882i	−0.142309	−	0.989822i	$-0.545453\pi$
$294$	4.88729			0.285032
$295$	7.00129			0.407631
$296$	0.117797	+	0.147713i	0.00684683	+	0.00858565i
$297$	−23.1589	+	11.1527i	−1.34381	+	0.647147i
$298$	−3.92894	+	17.2138i	−0.227597	+	0.997168i
$299$	1.21013	+	5.30191i	0.0699834	+	0.306617i
$300$	0.771701			0.0445542
$301$	−23.9441	+	0.0617638i	−1.38012	+	0.00356001i
$302$	4.48054			0.257826
$303$	−1.86152	−	8.15587i	−0.106942	−	0.468542i
$304$	0.566712	−	2.48293i	0.0325032	−	0.142406i
$305$	−10.0953	+	4.86164i	−0.578055	+	0.278376i
$306$	−3.85951	−	4.83967i	−0.220633	−	0.276666i
$307$	−18.2412			−1.04108			−0.520541	−	0.853836i	$-0.674270\pi$
$307$	−18.2412			−1.04108			−0.520541	+	0.853836i	$0.674270\pi$
$308$	22.5046			1.28232
$309$	−8.53954	−	10.7082i	−0.485798	−	0.609171i
$310$	−6.69378	−	3.22356i	−0.380181	−	0.183086i
$311$	20.4439	−	25.6358i	1.15927	−	1.45368i	0.291593	−	0.956542i	$-0.405815\pi$
$311$	20.4439	−	25.6358i	1.15927	−	1.45368i	0.867674	−	0.497133i	$-0.165614\pi$
$312$	−0.732623	−	0.352812i	−0.0414766	−	0.0199741i
$313$	−2.97722	−	13.0441i	−0.168282	−	0.737294i	−0.986684	−	0.162647i	$-0.947997\pi$
$313$	−2.97722	−	13.0441i	−0.168282	−	0.737294i	0.818402	−	0.574646i	$-0.194860\pi$
$314$	−10.4564	−	13.1119i	−0.590090	−	0.739950i
$315$	1.95370	+	8.55971i	0.110078	+	0.482285i
$316$	−1.55254	+	0.747665i	−0.0873373	+	0.0420594i
$317$	−1.79252	+	2.24775i	−0.100678	+	0.126246i	−0.829618	−	0.558331i	$-0.811442\pi$
$317$	−1.79252	+	2.24775i	−0.100678	+	0.126246i	0.728940	+	0.684577i	$0.240013\pi$
$318$	−2.61383	+	3.27764i	−0.146576	+	0.183801i
$319$	−3.84371	+	16.8404i	−0.215206	+	0.942881i
$320$	0.900969	−	0.433884i	0.0503657	−	0.0242548i
$321$	0.985858	+	0.474764i	0.0550252	+	0.0264987i
$322$	−4.19349	+	18.3729i	−0.233694	+	1.02388i
$323$	1.45896	−	6.39214i	0.0811790	−	0.355668i
$324$	−3.59932	−	1.73334i	−0.199962	−	0.0962966i
$325$	−0.949360	+	0.457188i	−0.0526610	+	0.0253602i
$326$	−3.87094	+	16.9597i	−0.214391	+	0.939310i
$327$	−5.44658	+	6.82980i	−0.301197	+	0.377689i
$328$	5.45500	−	6.84036i	0.301202	−	0.377696i
$329$	13.3698	−	6.43853i	0.737098	−	0.354968i
$330$	−1.05834	−	4.63688i	−0.0582596	−	0.255252i
$331$	−22.2391	−	27.8869i	−1.22237	−	1.53280i	−0.765745	−	0.643145i	$-0.777629\pi$
$331$	−22.2391	−	27.8869i	−1.22237	−	1.53280i	−0.456626	−	0.889659i	$-0.650942\pi$
$332$	0.708010	+	3.10200i	0.0388571	+	0.170244i
$333$	0.409295	+	0.197106i	0.0224292	+	0.0108013i
$334$	0.370802	−	0.464971i	0.0202894	−	0.0254421i
$335$	−5.97906	−	2.87936i	−0.326671	−	0.157316i
$336$	−1.75689	−	2.20307i	−0.0958463	−	0.120187i
$337$	35.2605			1.92076			0.960381	−	0.278689i	$-0.0898999\pi$
$337$	35.2605			1.92076			0.960381	+	0.278689i	$0.0898999\pi$
$338$	−11.8897			−0.646714
$339$	3.97096	+	4.97942i	0.215673	+	0.270445i
$340$	2.31949	−	1.11701i	0.125792	−	0.0605782i
$341$	−10.1891	+	44.6415i	−0.551773	+	2.41747i
$342$	−1.36265	−	5.97014i	−0.0736835	−	0.322828i
$343$	2.43503			0.131479
$344$	4.10171	+	5.11625i	0.221149	+	0.275850i
$345$	3.98279			0.214426
$346$	0.616336	+	2.70034i	0.0331344	+	0.145171i
$347$	−2.29704	+	10.0640i	−0.123312	+	0.540263i	0.875101	+	0.483940i	$0.160795\pi$
$347$	−2.29704	+	10.0640i	−0.123312	+	0.540263i	−0.998413	+	0.0563230i	$0.982062\pi$
$348$	1.94865	−	0.938421i	0.104459	−	0.0503046i
$349$	4.55140	+	5.70727i	0.243631	+	0.305503i	0.888580	−	0.458722i	$-0.151693\pi$
$349$	4.55140	+	5.70727i	0.243631	+	0.305503i	−0.644949	+	0.764226i	$0.723121\pi$
$350$	−3.65146			−0.195179
$351$	−4.39465			−0.234569
$352$	−3.84268	−	4.81856i	−0.204815	−	0.256830i
$353$	−13.0247	−	6.27236i	−0.693234	−	0.333844i	0.0538727	−	0.998548i	$-0.482843\pi$
$353$	−13.0247	−	6.27236i	−0.693234	−	0.333844i	−0.747107	+	0.664704i	$0.768558\pi$
$354$	−3.36866	+	4.22416i	−0.179042	+	0.224512i
$355$	7.41816	+	3.57240i	0.393715	+	0.189603i
$356$	1.21305	+	5.31473i	0.0642916	+	0.281680i
$357$	−4.52300	−	5.67167i	−0.239383	−	0.300176i
$358$	−0.387292	−	1.69684i	−0.0204690	−	0.0896806i
$359$	−26.5937	+	12.8069i	−1.40356	+	0.675920i	−0.973881	−	0.227061i	$-0.927088\pi$
$359$	−26.5937	+	12.8069i	−1.40356	+	0.675920i	−0.429681	+	0.902981i	$0.641374\pi$
$360$	1.49917	−	1.87990i	0.0790130	−	0.0990792i
$361$	−7.80229	+	9.78376i	−0.410647	+	0.514935i
$362$	−3.90436	+	17.1061i	−0.205208	+	0.899077i
$363$	−18.7619	+	9.03526i	−0.984745	+	0.474228i
$364$	3.46655	+	1.66940i	0.181696	+	0.0875004i
$365$	0.0393696	−	0.172489i	0.00206070	−	0.00902850i
$366$	1.92411	−	8.43006i	0.100575	−	0.440646i
$367$	16.3749	+	7.88574i	0.854764	+	0.411633i	0.809344	−	0.587335i	$-0.199823\pi$
$367$	16.3749	+	7.88574i	0.854764	+	0.411633i	0.0454201	+	0.998968i	$0.485537\pi$
$368$	4.64995	−	2.23930i	0.242395	−	0.116731i
$369$	4.68120	−	20.5097i	0.243694	−	1.06769i
$370$	−0.117797	+	0.147713i	−0.00612399	+	0.00767924i
$371$	12.3678	−	15.5088i	0.642107	−	0.805176i
$372$	5.16560	−	2.48762i	0.267824	−	0.128977i
$373$	5.07973	+	22.2558i	0.263018	+	1.15236i	0.917958	+	0.396678i	$0.129837\pi$
$373$	5.07973	+	22.2558i	0.263018	+	1.15236i	−0.654939	+	0.755681i	$0.727306\pi$
$374$	−9.89273	−	12.4051i	−0.511541	−	0.641452i
$375$	0.171720	+	0.752353i	0.00886757	+	0.0388514i
$376$	−3.66149	−	1.76328i	−0.188827	−	0.0909341i
$377$	−1.84130	+	2.30892i	−0.0948320	+	0.118916i
$378$	−13.7208	−	6.60758i	−0.705721	−	0.339857i
$379$	−9.74099	−	12.2148i	−0.500361	−	0.627433i	0.465950	−	0.884811i	$-0.345713\pi$
$379$	−9.74099	−	12.2148i	−0.500361	−	0.627433i	−0.966311	+	0.257378i	$0.917141\pi$
$380$	2.54678			0.130647
$381$	14.0918			0.721946
$382$	−4.11252	−	5.15693i	−0.210415	−	0.263852i
$383$	9.38938	−	4.52169i	0.479775	−	0.231047i	−0.178334	−	0.983970i	$-0.557071\pi$
$383$	9.38938	−	4.52169i	0.479775	−	0.231047i	0.658109	+	0.752922i	$0.271357\pi$
$384$	−0.171720	+	0.752353i	−0.00876304	+	0.0383934i
$385$	5.00774	+	21.9403i	0.255218	+	1.11818i
$386$	13.4164			0.682878
$387$	14.2234	+	6.80447i	0.723014	+	0.345891i
$388$	4.05777			0.206002
$389$	−8.04466	−	35.2460i	−0.407881	−	1.78704i	−0.593946	−	0.804505i	$-0.702431\pi$
$389$	−8.04466	−	35.2460i	−0.407881	−	1.78704i	0.186065	−	0.982537i	$-0.440426\pi$
$390$	0.180943	−	0.792762i	0.00916240	−	0.0401431i
$391$	11.9710	−	5.76493i	0.605400	−	0.291545i
$392$	3.94864	+	4.95144i	0.199437	+	0.250086i
$393$	−12.0375			−0.607211
$394$	−11.1631			−0.562391
$395$	−1.07439	−	1.34725i	−0.0540586	−	0.0677873i
$396$	−13.3516	−	6.42981i	−0.670946	−	0.323110i
$397$	16.2860	−	20.4221i	0.817373	−	1.02495i	−0.181761	−	0.983343i	$-0.558180\pi$
$397$	16.2860	−	20.4221i	0.817373	−	1.02495i	0.999134	−	0.0416106i	$-0.0132489\pi$
$398$	−17.8200	−	8.58164i	−0.893234	−	0.430159i
$399$	−1.59690	−	6.99648i	−0.0799451	−	0.350262i
$400$	0.623490	+	0.781831i	0.0311745	+	0.0390916i
$401$	8.29089	+	36.3248i	0.414027	+	1.81397i	0.564590	+	0.825372i	$0.309034\pi$
$401$	8.29089	+	36.3248i	0.414027	+	1.81397i	−0.150562	+	0.988601i	$0.548108\pi$
$402$	4.61405	−	2.22201i	0.230128	−	0.110824i
$403$	−4.88104	+	6.12063i	−0.243142	+	0.304890i
$404$	6.75893	−	8.47543i	0.336269	−	0.421668i
$405$	0.888958	−	3.89478i	0.0441727	−	0.193533i
$406$	−9.22043	+	4.44032i	−0.457602	+	0.220370i
$407$	1.04911	+	0.505224i	0.0520024	+	0.0250430i
$408$	−0.442082	+	1.93689i	−0.0218863	+	0.0958901i
$409$	−3.83903	+	16.8199i	−0.189828	+	0.831690i	0.786878	+	0.617108i	$0.211696\pi$
$409$	−3.83903	+	16.8199i	−0.189828	+	0.831690i	−0.976706	+	0.214582i	$0.931161\pi$
$410$	7.88271	+	3.79611i	0.389299	+	0.187477i
$411$	4.72269	−	2.27433i	0.232953	−	0.112184i
$412$	3.94936	−	17.3033i	0.194571	−	0.852472i
$413$	15.9395	−	19.9874i	0.784329	−	0.983518i
$414$	7.73728	−	9.70225i	0.380267	−	0.476839i
$415$	−2.86668	+	1.38052i	−0.140720	+	0.0677670i
$416$	−0.234473	−	1.02729i	−0.0114960	−	0.0503671i
$417$	8.18470	+	10.2633i	0.400806	+	0.502595i
$418$	−3.49275	−	15.3027i	−0.170836	−	0.748481i
$419$	−35.4256	−	17.0601i	−1.73065	−	0.833438i	−0.986158	−	0.165809i	$-0.946976\pi$
$419$	−35.4256	−	17.0601i	−1.73065	−	0.833438i	−0.744494	−	0.667629i	$-0.767309\pi$
$420$	1.75689	−	2.20307i	0.0857275	−	0.107499i
$421$	5.10022	+	2.45614i	0.248569	+	0.119705i	0.554020	−	0.832503i	$-0.313093\pi$
$421$	5.10022	+	2.45614i	0.248569	+	0.119705i	−0.305451	+	0.952208i	$0.598807\pi$
$422$	1.41442	+	1.77363i	0.0688530	+	0.0863390i
$423$	−9.77165			−0.475114
$424$	−5.43249			−0.263825
$425$	1.60513	+	2.01278i	0.0778605	+	0.0976340i
$426$	−5.72461	+	2.75683i	−0.277358	+	0.133569i
$427$	−9.10429	+	39.8885i	−0.440587	+	1.93034i
$428$	0.315519	+	1.38238i	0.0152512	+	0.0668199i
$429$	−5.01158			−0.241962
$430$	−4.07526	+	5.13734i	−0.196526	+	0.247745i
$431$	−23.6582			−1.13958			−0.569788	−	0.821792i	$-0.692975\pi$
$431$	−23.6582			−1.13958			−0.569788	+	0.821792i	$0.692975\pi$
$432$	0.928055	+	4.06608i	0.0446511	+	0.195629i
$433$	3.33916	−	14.6298i	0.160470	−	0.703064i	−0.829111	−	0.559084i	$-0.811153\pi$
$433$	3.33916	−	14.6298i	0.160470	−	0.703064i	0.989581	−	0.143980i	$-0.0459900\pi$
$434$	−24.4421	+	11.7707i	−1.17326	+	0.565011i
$435$	1.34851	+	1.69098i	0.0646560	+	0.0810761i
$436$	−11.3200			−0.542129
$437$	13.1441			0.628767
$438$	0.0851272	+	0.106746i	0.00406753	+	0.00510053i
$439$	−23.6273	−	11.3783i	−1.12767	−	0.543056i	−0.225414	−	0.974263i	$-0.572374\pi$
$439$	−23.6273	−	11.3783i	−1.12767	−	0.543056i	−0.902253	+	0.431207i	$0.858088\pi$
$440$	3.84268	−	4.81856i	0.183192	−	0.229716i
$441$	13.7198	+	6.60713i	0.653326	+	0.314625i
$442$	−0.603635	−	2.64470i	−0.0287120	−	0.125795i
$443$	−24.4694	−	30.6837i	−1.16258	−	1.45782i	−0.864038	−	0.503427i	$-0.832072\pi$
$443$	−24.4694	−	30.6837i	−1.16258	−	1.45782i	−0.298538	−	0.954398i	$-0.596499\pi$
$444$	−0.0324434	−	0.142144i	−0.00153969	−	0.00674584i
$445$	−4.91155	+	2.36528i	−0.232830	+	0.112125i
$446$	15.1242	−	18.9651i	0.716151	−	0.898025i
$447$	8.49538	−	10.6529i	0.401818	−	0.503863i
$448$	0.812526	−	3.55991i	0.0383882	−	0.168190i
$449$	−19.4358	+	9.35979i	−0.917232	+	0.441716i	−0.832082	−	0.554652i	$-0.812851\pi$
$449$	−19.4358	+	9.35979i	−0.917232	+	0.441716i	−0.0851500	+	0.996368i	$0.527137\pi$
$450$	2.16636	+	1.04326i	0.102123	+	0.0491799i
$451$	11.9989	−	52.5706i	0.565006	−	2.47545i
$452$	−1.83648	+	8.04617i	−0.0863810	+	0.378460i
$453$	−3.11523	−	1.50021i	−0.146366	−	0.0704862i
$454$	19.8080	−	9.53902i	0.929634	−	0.447688i
$455$	−0.856167	+	3.75111i	−0.0401377	+	0.175855i
$456$	−1.22538	+	1.53658i	−0.0573836	+	0.0719568i
$457$	−18.9429	+	23.7537i	−0.886112	+	1.11115i	0.107032	+	0.994256i	$0.465865\pi$
$457$	−18.9429	+	23.7537i	−0.886112	+	1.11115i	−0.993144	+	0.116894i	$0.962706\pi$
$458$	−12.1912	+	5.87095i	−0.569655	+	0.274332i
$459$	2.38922	+	10.4679i	0.111519	+	0.488598i
$460$	3.21787	+	4.03508i	0.150034	+	0.188136i
$461$	2.76126	+	12.0979i	0.128605	+	0.563454i	0.997637	+	0.0686992i	$0.0218849\pi$
$461$	2.76126	+	12.0979i	0.128605	+	0.563454i	−0.869033	+	0.494755i	$0.835258\pi$
$462$	−15.6470	−	7.53517i	−0.727962	−	0.350568i
$463$	−18.9349	+	23.7437i	−0.879982	+	1.10346i	0.113953	+	0.993486i	$0.463649\pi$
$463$	−18.9349	+	23.7437i	−0.879982	+	1.10346i	−0.993934	+	0.109976i	$0.964923\pi$
$464$	2.52514	+	1.21604i	0.117227	+	0.0564533i
$465$	3.57471	+	4.48254i	0.165773	+	0.207873i
$466$	−1.09177			−0.0505751
$467$	−25.9214			−1.19950			−0.599749	−	0.800188i	$-0.704733\pi$
$467$	−25.9214			−1.19950			−0.599749	+	0.800188i	$0.704733\pi$
$468$	−1.57969	−	1.98087i	−0.0730211	−	0.0915655i
$469$	−21.8323	+	10.5139i	−1.00812	+	0.485485i
$470$	0.904312	−	3.96205i	0.0417128	−	0.182756i
$471$	2.87988	+	12.6176i	0.132698	+	0.581387i
$472$	−7.00129			−0.322260
$473$	36.4574	+	17.4413i	1.67632	+	0.801951i
$474$	1.32979			0.0610793
$475$	0.566712	+	2.48293i	0.0260025	+	0.113925i
$476$	2.09180	−	9.16475i	0.0958773	−	0.420066i
$477$	−11.7687	+	5.66751i	−0.538852	+	0.259498i
$478$	−14.4628	−	18.1358i	−0.661514	−	0.829512i
$479$	−7.45220			−0.340500			−0.170250	−	0.985401i	$-0.554458\pi$
$479$	−7.45220			−0.340500			−0.170250	+	0.985401i	$0.554458\pi$
$480$	−0.771701			−0.0352232
$481$	0.124124	+	0.155647i	0.00565958	+	0.00709689i
$482$	−3.56926	−	1.71887i	−0.162576	−	0.0782922i
$483$	9.06741	−	11.3702i	0.412582	−	0.517361i
$484$	−24.3124	−	11.7082i	−1.10511	−	0.532192i
$485$	0.902939	+	3.95604i	0.0410004	+	0.179634i
$486$	9.72322	+	12.1925i	0.441054	+	0.553064i
$487$	−9.54137	−	41.8035i	−0.432361	−	1.89430i	−0.447252	−	0.894408i	$-0.647597\pi$
$487$	−9.54137	−	41.8035i	−0.432361	−	1.89430i	0.0148912	−	0.999889i	$-0.495260\pi$
$488$	10.0953	−	4.86164i	0.456992	−	0.220076i
$489$	8.36997	−	10.4956i	0.378503	−	0.474628i
$490$	−3.94864	+	4.95144i	−0.178382	+	0.223683i
$491$	−3.16533	+	13.8682i	−0.142849	+	0.625863i	0.851916	+	0.523678i	$0.175441\pi$
$491$	−3.16533	+	13.8682i	−0.142849	+	0.625863i	−0.994765	+	0.102185i	$0.967417\pi$
$492$	−6.08310	+	2.92947i	−0.274247	+	0.132071i
$493$	6.50080	+	3.13062i	0.292781	+	0.140996i
$494$	0.597151	−	2.61629i	0.0268671	−	0.117712i
$495$	3.29758	−	14.4477i	0.148215	−	0.649374i
$496$	6.69378	+	3.22356i	0.300560	+	0.144742i
$497$	27.0871	−	13.0445i	1.21502	−	0.585124i
$498$	0.546373	−	2.39381i	0.0244835	−	0.107269i
$499$	−0.821197	+	1.02975i	−0.0367618	+	0.0460979i	−0.799873	−	0.600170i	$-0.795100\pi$
$499$	−0.821197	+	1.02975i	−0.0367618	+	0.0460979i	0.763111	+	0.646268i	$0.223671\pi$
$500$	−0.623490	+	0.781831i	−0.0278833	+	0.0349646i
$501$	−0.413497	+	0.199130i	−0.0184737	+	0.00889645i
$502$	6.67136	+	29.2291i	0.297757	+	1.30456i
$503$	−9.09683	−	11.4071i	−0.405608	−	0.508616i	0.536512	−	0.843893i	$-0.319742\pi$
$503$	−9.09683	−	11.4071i	−0.405608	−	0.508616i	−0.942120	+	0.335277i	$0.891170\pi$
$504$	−1.95370	−	8.55971i	−0.0870247	−	0.381280i
$505$	9.76693	+	4.70351i	0.434623	+	0.209303i
$506$	19.8323	−	24.8689i	0.881652	−	1.10556i
$507$	8.26665	+	3.98101i	0.367135	+	0.176803i
$508$	11.3854	+	14.2768i	0.505144	+	0.633431i
$509$	9.05680			0.401436			0.200718	−	0.979649i	$-0.435673\pi$
$509$	9.05680			0.401436			0.200718	+	0.979649i	$0.435673\pi$
$510$	−1.98670			−0.0879724
$511$	−0.402796	−	0.505090i	−0.0178186	−	0.0223439i
$512$	−0.900969	+	0.433884i	−0.0398176	+	0.0191751i
$513$	−2.36355	+	10.3554i	−0.104353	+	0.457202i
$514$	−1.43970	−	6.30774i	−0.0635025	−	0.278222i
$515$	17.7483			0.782082
$516$	−1.13876	−	4.93059i	−0.0501313	−	0.217057i
$517$	−25.0468			−1.10156
$518$	0.153512	+	0.672581i	0.00674494	+	0.0295515i
$519$	0.475627	−	2.08386i	0.0208777	−	0.0914712i
$520$	0.949360	−	0.457188i	0.0416322	−	0.0200490i
$521$	24.3911	+	30.5854i	1.06859	+	1.33997i	0.937259	+	0.348634i	$0.113355\pi$
$521$	24.3911	+	30.5854i	1.06859	+	1.33997i	0.131334	+	0.991338i	$0.458074\pi$
$522$	6.73900			0.294958
$523$	6.28713			0.274917			0.137459	−	0.990508i	$-0.456107\pi$
$523$	6.28713			0.274917			0.137459	+	0.990508i	$0.456107\pi$
$524$	−9.72559	−	12.1955i	−0.424864	−	0.532763i
$525$	2.53878	+	1.22261i	0.110801	+	0.0533592i
$526$	18.1991	−	22.8210i	0.793519	−	0.995041i
$527$	17.2327	+	8.29884i	0.750669	+	0.361503i
$528$	1.05834	+	4.63688i	0.0460583	+	0.201795i
$529$	2.26732	+	2.84313i	0.0985790	+	0.123614i
$530$	−1.20884	−	5.29628i	−0.0525087	−	0.230056i
$531$	−15.1673	+	7.30419i	−0.658205	+	0.316975i
$532$	5.79812	−	7.27061i	0.251380	−	0.315221i
$533$	5.74799	−	7.20776i	0.248973	−	0.312203i
$534$	0.936114	−	4.10138i	0.0405096	−	0.177484i
$535$	−1.27751	+	0.615217i	−0.0552317	+	0.0265982i
$536$	5.97906	+	2.87936i	0.258256	+	0.124369i
$537$	−0.298874	+	1.30945i	−0.0128974	+	0.0565070i
$538$	−1.11448	+	4.88285i	−0.0480486	+	0.210515i
$539$	35.1668	+	16.9354i	1.51474	+	0.729461i
$540$	−3.75762	+	1.80957i	−0.161702	+	0.0778717i
$541$	4.44053	−	19.4552i	0.190913	−	0.836446i	−0.785210	−	0.619229i	$-0.787445\pi$
$541$	4.44053	−	19.4552i	0.190913	−	0.836446i	0.976123	−	0.217216i	$-0.0696977\pi$
$542$	−0.649974	+	0.815042i	−0.0279188	+	0.0350090i
$543$	8.44223	−	10.5862i	0.362291	−	0.454298i
$544$	−2.31949	+	1.11701i	−0.0994472	+	0.0478912i
$545$	−2.51893	−	11.0362i	−0.107899	−	0.472737i
$546$	−1.85125	−	2.32140i	−0.0792264	−	0.0993467i
$547$	5.74523	+	25.1715i	0.245648	+	1.07626i	0.935783	+	0.352575i	$0.114694\pi$
$547$	5.74523	+	25.1715i	0.245648	+	1.07626i	−0.690135	+	0.723681i	$0.742449\pi$
$548$	6.11984	+	2.94716i	0.261426	+	0.125896i
$549$	16.7981	−	21.0641i	0.716924	−	0.898994i
$550$	5.55283	+	2.67410i	0.236773	+	0.114024i
$551$	4.45037	+	5.58059i	0.189592	+	0.237741i
$552$	−3.98279			−0.169519
$553$	−6.29216			−0.267570
$554$	7.50138	+	9.40643i	0.318703	+	0.399641i
$555$	0.131361	−	0.0632599i	0.00557595	−	0.00268523i
$556$	−3.78525	+	16.5843i	−0.160530	+	0.703330i
$557$	−0.0867531	−	0.380090i	−0.00367585	−	0.0161049i	0.973057	−	0.230566i	$-0.0740577\pi$
$557$	−0.0867531	−	0.380090i	−0.00367585	−	0.0161049i	−0.976733	+	0.214461i	$0.931201\pi$
$558$	17.8642			0.756250
$559$	4.32201	+	5.39104i	0.182802	+	0.228017i
$560$	3.65146			0.154302
$561$	2.72463	+	11.9374i	0.115034	+	0.503996i
$562$	−0.924266	+	4.04947i	−0.0389878	+	0.170817i
$563$	18.5410	−	8.92885i	0.781408	−	0.376306i	−0.000260727	−	1.00000i	$-0.500083\pi$
$563$	18.5410	−	8.92885i	0.781408	−	0.376306i	0.781669	+	0.623694i	$0.214369\pi$
$564$	1.95536	+	2.45194i	0.0823354	+	0.103245i
$565$	−8.25309			−0.347210
$566$	−18.0539			−0.758863
$567$	−9.09506	−	11.4048i	−0.381957	−	0.478959i
$568$	−7.41816	−	3.57240i	−0.311259	−	0.149895i
$569$	6.25216	−	7.83997i	0.262104	−	0.328668i	−0.633313	−	0.773895i	$-0.718306\pi$
$569$	6.25216	−	7.83997i	0.262104	−	0.328668i	0.895418	+	0.445227i	$0.146877\pi$
$570$	−1.77072	−	0.852736i	−0.0741675	−	0.0357172i
$571$	−5.40036	−	23.6605i	−0.225998	−	0.990163i	−0.952867	−	0.303387i	$-0.901883\pi$
$571$	−5.40036	−	23.6605i	−0.225998	−	0.990163i	0.726869	−	0.686776i	$-0.240975\pi$
$572$	−4.04907	−	5.07737i	−0.169300	−	0.212296i
$573$	1.13266	+	4.96249i	0.0473174	+	0.207311i
$574$	28.7834	−	13.8613i	1.20139	−	0.578561i
$575$	−3.21787	+	4.03508i	−0.134194	+	0.168274i
$576$	−1.49917	+	1.87990i	−0.0624653	+	0.0783290i
$577$	−0.391505	+	1.71529i	−0.0162986	+	0.0714086i	−0.982423	−	0.186667i	$-0.940231\pi$
$577$	−0.391505	+	1.71529i	−0.0162986	+	0.0714086i	0.966125	+	0.258076i	$0.0830885\pi$
$578$	9.34510	−	4.50036i	0.388705	−	0.187190i
$579$	−9.32816	−	4.49220i	−0.387665	−	0.186690i
$580$	−0.623657	+	2.73242i	−0.0258960	+	0.113458i
$581$	−2.58527	+	11.3268i	−0.107255	+	0.469915i
$582$	−2.82128	−	1.35866i	−0.116946	−	0.0563182i
$583$	−30.1657	+	14.5270i	−1.24933	+	0.601648i
$584$	−0.0393696	+	0.172489i	−0.00162912	+	0.00713766i
$585$	1.57969	−	1.98087i	0.0653120	−	0.0818987i
$586$	−18.4121	+	23.0881i	−0.760598	+	0.953759i
$587$	−22.8592	+	11.0084i	−0.943499	+	0.454365i	−0.841402	−	0.540410i	$-0.818269\pi$
$587$	−22.8592	+	11.0084i	−0.943499	+	0.454365i	−0.102096	+	0.994775i	$0.532555\pi$
$588$	−1.08752	−	4.76475i	−0.0448487	−	0.196495i
$589$	11.7973	+	14.7934i	0.486100	+	0.609550i
$590$	−1.55793	−	6.82575i	−0.0641391	−	0.281012i
$591$	7.76150	+	3.73774i	0.319265	+	0.153750i
$592$	0.117797	−	0.147713i	0.00484144	−	0.00607097i
$593$	−31.5863	−	15.2111i	−1.29709	−	0.624647i	−0.347366	−	0.937730i	$-0.612924\pi$
$593$	−31.5863	−	15.2111i	−1.29709	−	0.624647i	−0.949726	+	0.313083i	$0.898638\pi$
$594$	16.0264	+	20.0965i	0.657572	+	0.824570i
$595$	9.40044			0.385381
$596$	17.6565			0.723237
$597$	9.51647	+	11.9333i	0.389483	+	0.488396i
$598$	4.89970	−	2.35957i	0.200364	−	0.0964901i
$599$	−3.20311	+	14.0337i	−0.130875	+	0.573403i	0.866381	+	0.499383i	$0.166440\pi$
$599$	−3.20311	+	14.0337i	−0.130875	+	0.573403i	−0.997257	+	0.0740198i	$0.976417\pi$
$600$	−0.171720	−	0.752353i	−0.00701043	−	0.0307147i
$601$	16.8159			0.685934			0.342967	−	0.939347i	$-0.388568\pi$
$601$	16.8159			0.685934			0.342967	+	0.939347i	$0.388568\pi$
$602$	5.38828	+	23.3300i	0.219610	+	0.950862i
$603$	15.9567			0.649808
$604$	−0.997014	−	4.36820i	−0.0405679	−	0.177740i
$605$	6.00467	−	26.3082i	0.244124	−	1.06958i
$606$	−7.53716	+	3.62970i	−0.306176	+	0.147447i
$607$	3.72484	+	4.67080i	0.151187	+	0.189582i	0.851657	−	0.524099i	$-0.175598\pi$
$607$	3.72484	+	4.67080i	0.151187	+	0.189582i	−0.700471	+	0.713681i	$0.747026\pi$
$608$	−2.54678			−0.103286
$609$	7.89752			0.320023
$610$	6.98616	+	8.76037i	0.282861	+	0.354697i
$611$	−3.85814	−	1.85798i	−0.156084	−	0.0751660i
$612$	−3.85951	+	4.83967i	−0.156011	+	0.195632i
$613$	−26.2081	−	12.6211i	−1.05853	−	0.509763i	−0.178139	−	0.984005i	$-0.557008\pi$
$613$	−26.2081	−	12.6211i	−1.05853	−	0.509763i	−0.880394	+	0.474243i	$0.842722\pi$
$614$	4.05906	+	17.7839i	0.163810	+	0.717700i
$615$	−4.20963	−	5.27871i	−0.169749	−	0.212858i
$616$	−5.00774	−	21.9403i	−0.201767	−	0.884001i
$617$	21.2076	−	10.2130i	0.853785	−	0.411161i	0.0448040	−	0.998996i	$-0.485734\pi$
$617$	21.2076	−	10.2130i	0.853785	−	0.411161i	0.808981	+	0.587834i	$0.200019\pi$
$618$	−8.53954	+	10.7082i	−0.343511	+	0.430749i
$619$	17.8148	−	22.3390i	0.716036	−	0.897881i	−0.282070	−	0.959394i	$-0.591021\pi$
$619$	17.8148	−	22.3390i	0.716036	−	0.897881i	0.998106	+	0.0615128i	$0.0195925\pi$
$620$	−1.65323	+	7.24327i	−0.0663952	+	0.290897i
$621$	−19.3933	+	9.33931i	−0.778226	+	0.374774i
$622$	−29.5423	−	14.2268i	−1.18454	−	0.570444i
$623$	−4.42941	+	19.4065i	−0.177460	+	0.777505i
$624$	−0.180943	+	0.792762i	−0.00724351	+	0.0317359i
$625$	−0.900969	−	0.433884i	−0.0360388	−	0.0173553i
$626$	−12.0545	+	5.80515i	−0.481796	+	0.232020i
$627$	−2.69536	+	11.8091i	−0.107642	+	0.471611i
$628$	−10.4564	+	13.1119i	−0.417257	+	0.523224i
$629$	0.303262	−	0.380278i	0.0120918	−	0.0151627i
$630$	7.91036	−	3.80943i	0.315156	−	0.151771i
$631$	0.868518	+	3.80523i	0.0345752	+	0.151484i	0.989269	−	0.146107i	$-0.0466742\pi$
$631$	0.868518	+	3.80523i	0.0345752	+	0.151484i	−0.954694	+	0.297590i	$0.903817\pi$
$632$	1.07439	+	1.34725i	0.0427370	+	0.0535906i
$633$	−0.389556	−	1.70676i	−0.0154835	−	0.0678375i
$634$	2.59027	+	1.24741i	0.102873	+	0.0495409i
$635$	−11.3854	+	14.2768i	−0.451815	+	0.566558i
$636$	3.77709	+	1.81895i	0.149771	+	0.0721262i
$637$	4.16073	+	5.21739i	0.164854	+	0.206720i
$638$	17.2735			0.683863
$639$	−19.7974			−0.783171
$640$	−0.623490	−	0.781831i	−0.0246456	−	0.0309046i
$641$	−33.1825	+	15.9799i	−1.31063	+	0.631167i	−0.953078	−	0.302726i	$-0.902103\pi$
$641$	−33.1825	+	15.9799i	−1.31063	+	0.631167i	−0.357553	+	0.933893i	$0.616389\pi$
$642$	0.243487	−	1.06679i	0.00960966	−	0.0421027i
$643$	6.03522	+	26.4420i	0.238006	+	1.04277i	0.942800	+	0.333360i	$0.108182\pi$
$643$	6.03522	+	26.4420i	0.238006	+	1.04277i	−0.704794	+	0.709412i	$0.748961\pi$
$644$	18.8454			0.742612
$645$	4.55357	−	2.20737i	0.179297	−	0.0869152i
$646$	−6.55653			−0.257963
$647$	0.911692	+	3.99438i	0.0358423	+	0.157035i	0.989682	−	0.143280i	$-0.0457651\pi$
$647$	0.911692	+	3.99438i	0.0358423	+	0.157035i	−0.953840	+	0.300316i	$0.902908\pi$
$648$	−0.888958	+	3.89478i	−0.0349216	+	0.153001i
$649$	−38.8770	+	18.7222i	−1.52605	+	0.734909i
$650$	0.656978	+	0.823824i	0.0257688	+	0.0323130i
$651$	20.9352			0.820516
$652$	17.3958			0.681274
$653$	26.8989	+	33.7302i	1.05264	+	1.31996i	0.945465	+	0.325723i	$0.105608\pi$
$653$	26.8989	+	33.7302i	1.05264	+	1.31996i	0.107171	+	0.994241i	$0.465821\pi$
$654$	7.87054	+	3.79025i	0.307763	+	0.148211i
$655$	9.72559	−	12.1955i	0.380010	−	0.476518i
$656$	−7.88271	−	3.79611i	−0.307768	−	0.148213i
$657$	0.0946632	+	0.414747i	0.00369316	+	0.0161808i
$658$	−9.25216	−	11.6018i	−0.360687	−	0.452287i
$659$	1.76531	+	7.73431i	0.0687666	+	0.301286i	0.997602	−	0.0692055i	$-0.0220464\pi$
$659$	1.76531	+	7.73431i	0.0687666	+	0.301286i	−0.928836	+	0.370492i	$0.879189\pi$
$660$	−4.28513	+	2.06361i	−0.166798	+	0.0803258i
$661$	9.41108	−	11.8011i	0.366049	−	0.459011i	−0.564363	−	0.825527i	$-0.690878\pi$
$661$	9.41108	−	11.8011i	0.366049	−	0.459011i	0.930412	+	0.366516i	$0.119450\pi$
$662$	−22.2391	+	27.8869i	−0.864346	+	1.08386i
$663$	−0.465826	+	2.04092i	−0.0180912	+	0.0792626i
$664$	2.86668	−	1.38052i	0.111249	−	0.0535745i
$665$	8.37853	+	4.03489i	0.324905	+	0.156466i
$666$	0.101087	−	0.442893i	0.00391706	−	0.0171618i
$667$	−3.21873	+	14.1022i	−0.124630	+	0.546038i
$668$	−0.535825	−	0.258040i	−0.0207317	−	0.00998385i
$669$	−16.8656	+	8.12205i	−0.652062	+	0.314016i
$670$	−1.47671	+	6.46987i	−0.0570501	+	0.249953i
$671$	43.0569	−	53.9917i	1.66219	−	2.08432i
$672$	−1.75689	+	2.20307i	−0.0677735	+	0.0849853i
$673$	42.0142	−	20.2330i	1.61953	−	0.779925i	0.619543	−	0.784963i	$-0.287318\pi$
$673$	42.0142	−	20.2330i	1.61953	−	0.779925i	0.999987	+	0.00503828i	$0.00160374\pi$
$674$	−7.84620	−	34.3765i	−0.302224	−	1.32413i
$675$	−2.60035	−	3.26074i	−0.100088	−	0.125506i
$676$	2.64571	+	11.5916i	0.101758	+	0.445831i
$677$	20.8036	+	10.0185i	0.799549	+	0.385043i	0.788607	−	0.614898i	$-0.210803\pi$
$677$	20.8036	+	10.0185i	0.799549	+	0.385043i	0.0109421	+	0.999940i	$0.496517\pi$
$678$	3.97096	−	4.97942i	0.152504	−	0.191234i
$679$	13.3495	+	6.42876i	0.512305	+	0.246713i
$680$	−1.60513	−	2.01278i	−0.0615541	−	0.0771864i
$681$	−16.9660			−0.650139
$682$	45.7896			1.75337
$683$	17.4503	+	21.8819i	0.667716	+	0.837289i	0.994159	−	0.107928i	$-0.0344215\pi$
$683$	17.4503	+	21.8819i	0.667716	+	0.837289i	−0.326443	+	0.945217i	$0.605850\pi$
$684$	−5.51724	+	2.65696i	−0.210957	+	0.101592i
$685$	−1.51147	+	6.62220i	−0.0577505	+	0.253021i
$686$	−0.541845	−	2.37398i	−0.0206877	−	0.0906390i
$687$	10.4420			0.398388
$688$	4.07526	−	5.13734i	0.155368	−	0.195859i
$689$	−5.72427			−0.218077
$690$	−0.886255	−	3.88294i	−0.0337392	−	0.147821i
$691$	8.22031	−	36.0155i	0.312715	−	1.37010i	−0.537324	−	0.843376i	$-0.680565\pi$
$691$	8.22031	−	36.0155i	0.312715	−	1.37010i	0.850039	−	0.526720i	$-0.176578\pi$
$692$	2.49549	−	1.20177i	0.0948644	−	0.0456843i
$693$	−33.7381	−	42.3062i	−1.28160	−	1.60708i
$694$	10.3228			0.391848
$695$	−17.0108			−0.645255
$696$	−1.34851	−	1.69098i	−0.0511151	−	0.0640963i
$697$	−20.2935	−	9.77285i	−0.768672	−	0.370173i
$698$	4.55140	−	5.70727i	0.172273	−	0.216024i
$699$	0.759082	+	0.365555i	0.0287111	+	0.0138265i
$700$	0.812526	+	3.55991i	0.0307106	+	0.134552i
$701$	−6.83310	−	8.56843i	−0.258082	−	0.323625i	0.635862	−	0.771803i	$-0.280645\pi$
$701$	−6.83310	−	8.56843i	−0.258082	−	0.323625i	−0.893945	+	0.448177i	$0.852073\pi$
$702$	0.977901	+	4.28447i	0.0369085	+	0.161707i
$703$	0.433518	−	0.208771i	0.0163505	−	0.00787396i
$704$	−3.84268	+	4.81856i	−0.144826	+	0.181606i
$705$	−1.95536	+	2.45194i	−0.0736430	+	0.0923454i
$706$	−3.21683	+	14.0939i	−0.121067	+	0.530430i
$707$	35.6635	−	17.1747i	1.34127	−	0.645919i
$708$	4.86785	+	2.34423i	0.182945	+	0.0881017i
$709$	8.63097	−	37.8147i	0.324143	−	1.42016i	−0.505963	−	0.862555i	$-0.668863\pi$
$709$	8.63097	−	37.8147i	0.324143	−	1.42016i	0.830105	−	0.557607i	$-0.188280\pi$
$710$	1.83213	−	8.02711i	0.0687588	−	0.301252i
$711$	3.73305	+	1.79774i	0.140000	+	0.0674206i
$712$	4.91155	−	2.36528i	0.184068	−	0.0886425i
$713$	−8.53240	+	37.3829i	−0.319541	+	1.40000i
$714$	−4.52300	+	5.67167i	−0.169269	+	0.212257i
$715$	4.04907	−	5.07737i	0.151427	−	0.189883i
$716$	−1.56811	+	0.755163i	−0.0586031	+	0.0282218i
$717$	3.98331	+	17.4520i	0.148759	+	0.651757i
$718$	18.4034	+	23.0771i	0.686809	+	0.861232i
$719$	0.429263	+	1.88072i	0.0160088	+	0.0701392i	0.982301	−	0.187307i	$-0.0599760\pi$
$719$	0.429263	+	1.88072i	0.0160088	+	0.0701392i	−0.966293	+	0.257447i	$0.917119\pi$
$720$	−2.16636	−	1.04326i	−0.0807354	−	0.0388801i
$721$	40.4065	−	50.6682i	1.50482	−	1.88698i
$722$	11.2746	+	5.42958i	0.419598	+	0.202068i
$723$	1.90611	+	2.39018i	0.0708889	+	0.0888919i
$724$	17.5460			0.652093
$725$	−2.80269			−0.104089
$726$	12.9836	+	16.2810i	0.481868	+	0.604244i
$727$	−2.67496	+	1.28819i	−0.0992089	+	0.0477765i	−0.482830	−	0.875714i	$-0.660391\pi$
$727$	−2.67496	+	1.28819i	−0.0992089	+	0.0477765i	0.383621	+	0.923491i	$0.374677\pi$
$728$	0.856167	−	3.75111i	0.0317316	−	0.139025i
$729$	−0.0110666	−	0.0484859i	−0.000409873	−	0.00179577i
$730$	−0.176925			−0.00654829
$731$	10.4915	−	13.2258i	0.388042	−	0.489172i
$732$	−8.64686			−0.319597
$733$	−5.35607	−	23.4665i	−0.197831	−	0.866755i	−0.972224	−	0.234050i	$-0.924802\pi$
$733$	−5.35607	−	23.4665i	−0.197831	−	0.866755i	0.774393	−	0.632704i	$-0.218055\pi$
$734$	4.04427	−	17.7191i	0.149277	−	0.654024i
$735$	4.40330	−	2.12052i	0.162418	−	0.0782164i
$736$	−3.21787	−	4.03508i	−0.118612	−	0.148735i
$737$	40.9004			1.50659
$738$	−21.0371			−0.774387
$739$	1.30200	+	1.63265i	0.0478947	+	0.0600581i	0.805202	−	0.593001i	$-0.202057\pi$
$739$	1.30200	+	1.63265i	0.0478947	+	0.0600581i	−0.757307	+	0.653059i	$0.773485\pi$
$740$	0.170222	+	0.0819746i	0.00625749	+	0.00301345i
$741$	−1.29119	+	1.61911i	−0.0474332	+	0.0594794i
$742$	−17.8721	−	8.60673i	−0.656104	−	0.315963i
$743$	−1.97352	−	8.64656i	−0.0724015	−	0.317212i	0.925739	−	0.378162i	$-0.123444\pi$
$743$	−1.97352	−	8.64656i	−0.0724015	−	0.317212i	−0.998141	+	0.0609508i	$0.980587\pi$
$744$	−3.57471	−	4.48254i	−0.131055	−	0.164338i
$745$	3.92894	+	17.2138i	0.143945	+	0.630664i
$746$	20.5674	−	9.90474i	0.753026	−	0.362638i
$747$	4.77000	−	5.98140i	0.174525	−	0.218848i
$748$	−9.89273	+	12.4051i	−0.361714	+	0.453575i
$749$	−1.15211	+	5.04770i	−0.0420970	+	0.184439i
$750$	0.695279	−	0.334829i	0.0253880	−	0.0122262i
$751$	23.7488	+	11.4368i	0.866605	+	0.417335i	0.813714	−	0.581265i	$-0.197442\pi$
$751$	23.7488	+	11.4368i	0.866605	+	0.417335i	0.0528909	+	0.998600i	$0.483156\pi$
$752$	−0.904312	+	3.96205i	−0.0329769	+	0.144481i
$753$	5.14829	−	22.5562i	0.187614	−	0.821992i
$754$	2.66076	+	1.28136i	0.0968992	+	0.0466642i
$755$	4.03683	−	1.94403i	0.146915	−	0.0707506i
$756$	−3.38875	+	14.8471i	−0.123248	+	0.539984i
$757$	−21.7545	+	27.2793i	−0.790681	+	0.991483i	0.209226	+	0.977867i	$0.432906\pi$
$757$	−21.7545	+	27.2793i	−0.790681	+	0.991483i	−0.999907	+	0.0136155i	$0.995666\pi$
$758$	−9.74099	+	12.2148i	−0.353809	+	0.443662i
$759$	−22.1158	+	10.6504i	−0.802752	+	0.386585i
$760$	−0.566712	−	2.48293i	−0.0205568	−	0.0900653i
$761$	13.0105	+	16.3147i	0.471632	+	0.591408i	0.959570	−	0.281471i	$-0.0908222\pi$
$761$	13.0105	+	16.3147i	0.471632	+	0.591408i	−0.487938	+	0.872878i	$0.662251\pi$
$762$	−3.13573	−	13.7385i	−0.113595	−	0.497694i
$763$	−37.2410	−	17.9343i	−1.34822	−	0.649266i
$764$	−4.11252	+	5.15693i	−0.148786	+	0.186571i
$765$	−5.57715	−	2.68582i	−0.201642	−	0.0971059i
$766$	−6.49765	−	8.14780i	−0.234770	−	0.294392i
$767$	−7.37733			−0.266380
$768$	0.771701			0.0278464
$769$	20.9097	+	26.2199i	0.754023	+	0.945516i	0.999716	−	0.0238323i	$-0.00758677\pi$
$769$	20.9097	+	26.2199i	0.754023	+	0.945516i	−0.245692	+	0.969348i	$0.579015\pi$
$770$	20.2759	−	9.76436i	0.730693	−	0.351883i
$771$	−1.11102	+	4.86769i	−0.0400124	+	0.175306i
$772$	−2.98544	−	13.0800i	−0.107448	−	0.470761i
$773$	13.4731			0.484592			0.242296	−	0.970202i	$-0.422099\pi$
$773$	13.4731			0.484592			0.242296	+	0.970202i	$0.422099\pi$
$774$	3.46887	−	15.3809i	0.124686	−	0.552855i
$775$	−7.42954			−0.266877
$776$	−0.902939	−	3.95604i	−0.0324136	−	0.142013i
$777$	0.118466	−	0.519032i	0.00424993	−	0.0186202i
$778$	−32.5722	+	15.6859i	−1.16777	+	0.562368i
$779$	−13.8927	−	17.4209i	−0.497758	−	0.624169i
$780$	−0.813150			−0.0291154
$781$	−50.7447			−1.81579
$782$	−8.28419	−	10.3880i	−0.296242	−	0.371476i
$783$	−10.5314	−	5.07167i	−0.376363	−	0.181247i
$784$	3.94864	−	4.95144i	0.141023	−	0.176837i
$785$	−15.1100	−	7.27658i	−0.539298	−	0.259712i
$786$	2.67859	+	11.7357i	0.0955423	+	0.418598i
$787$	−16.9636	−	21.2717i	−0.604686	−	0.758253i	0.381414	−	0.924404i	$-0.375437\pi$
$787$	−16.9636	−	21.2717i	−0.604686	−	0.758253i	−0.986100	+	0.166152i	$0.946866\pi$
$788$	2.48403	+	10.8833i	0.0884900	+	0.387700i
$789$	−20.2946	+	9.77335i	−0.722506	+	0.347940i
$790$	−1.07439	+	1.34725i	−0.0382252	+	0.0479329i
$791$	−18.7894	+	23.5611i	−0.668073	+	0.837737i
$792$	−3.29758	+	14.4477i	−0.117175	+	0.513375i
$793$	10.6375	−	5.12276i	0.377749	−	0.181914i
$794$	−23.5340	−	11.3334i	−0.835191	−	0.402207i
$795$	−0.932865	+	4.08715i	−0.0330853	+	0.144956i
$796$	−4.40117	+	19.2828i	−0.155995	+	0.683460i
$797$	39.4821	+	19.0136i	1.39853	+	0.673495i	0.972862	−	0.231387i	$-0.0743262\pi$
$797$	39.4821	+	19.0136i	1.39853	+	0.673495i	0.425664	+	0.904881i	$0.360041\pi$
$798$	−6.46572	+	3.11373i	−0.228884	+	0.110225i
$799$	−2.32809	+	10.2000i	−0.0823621	+	0.360852i
$800$	0.623490	−	0.781831i	0.0220437	−	0.0276419i
$801$	8.17257	−	10.2481i	0.288763	−	0.362098i
$802$	33.5691	−	16.1660i	1.18537	−	0.570843i
$803$	0.242641	+	1.06308i	0.00856263	+	0.0375153i
$804$	−3.19302	−	4.00392i	−0.112609	−	0.141207i
$805$	4.19349	+	18.3729i	0.147801	+	0.647559i
$806$	7.05331	+	3.39669i	0.248442	+	0.119643i
$807$	2.40979	−	3.02179i	0.0848288	−	0.106372i
$808$	−9.76693	−	4.70351i	−0.343599	−	0.165469i
$809$	3.32236	+	4.16611i	0.116808	+	0.146473i	0.836798	−	0.547512i	$-0.184425\pi$
$809$	3.32236	+	4.16611i	0.116808	+	0.146473i	−0.719990	+	0.693985i	$0.755854\pi$
$810$	−3.99494			−0.140368
$811$	−42.2575			−1.48386			−0.741930	−	0.670477i	$-0.766089\pi$
$811$	−42.2575			−1.48386			−0.741930	+	0.670477i	$0.766089\pi$
$812$	6.38073	+	8.00119i	0.223920	+	0.280787i
$813$	0.724813	−	0.349051i	0.0254203	−	0.0122418i
$814$	0.259108	−	1.13523i	0.00908174	−	0.0397897i
$815$	3.87094	+	16.9597i	0.135593	+	0.594072i
$816$	1.98670			0.0695483
$817$	15.0278	−	7.28481i	0.525755	−	0.254863i
$818$	17.2524			0.603218
$819$	−2.05863	−	9.01946i	−0.0719344	−	0.315165i
$820$	1.94687	−	8.52979i	0.0679876	−	0.297873i
$821$	13.8332	−	6.66174i	0.482783	−	0.232496i	−0.176629	−	0.984277i	$-0.556519\pi$
$821$	13.8332	−	6.66174i	0.482783	−	0.232496i	0.659413	+	0.751781i	$0.270805\pi$
$822$	−3.26820	−	4.09819i	−0.113992	−	0.142941i
$823$	−13.5760			−0.473230			−0.236615	−	0.971604i	$-0.576038\pi$
$823$	−13.5760			−0.473230			−0.236615	+	0.971604i	$0.576038\pi$
$824$	−17.7483			−0.618290
$825$	−2.96540	−	3.71849i	−0.103242	−	0.129461i
$826$	−23.0332	−	11.0922i	−0.801427	−	0.385947i
$827$	22.2029	−	27.8416i	0.772072	−	0.968147i	−0.227913	−	0.973682i	$-0.573190\pi$
$827$	22.2029	−	27.8416i	0.772072	−	0.968147i	0.999985	+	0.00553413i	$0.00176158\pi$
$828$	−11.1807	−	5.38434i	−0.388556	−	0.187119i
$829$	−10.8653	−	47.6042i	−0.377369	−	1.65336i	−0.705486	−	0.708724i	$-0.749271\pi$
$829$	−10.8653	−	47.6042i	−0.377369	−	1.65336i	0.328117	−	0.944637i	$-0.393586\pi$
$830$	1.98380	+	2.48761i	0.0688587	+	0.0863461i
$831$	−2.06601	−	9.05177i	−0.0716690	−	0.314003i
$832$	−0.949360	+	0.457188i	−0.0329131	+	0.0158501i
$833$	10.1655	−	12.7472i	0.352215	−	0.441664i
$834$	8.18470	−	10.2633i	0.283413	−	0.355388i
$835$	0.132338	−	0.579810i	0.00457974	−	0.0200651i
$836$	−14.1418	+	6.81035i	−0.489106	+	0.235541i
$837$	−27.9174	−	13.4443i	−0.964966	−	0.464703i
$838$	−8.74939	+	38.3336i	−0.302243	+	1.32421i
$839$	1.49910	−	6.56798i	0.0517547	−	0.226752i	−0.942436	−	0.334387i	$-0.891471\pi$
$839$	1.49910	−	6.56798i	0.0517547	−	0.226752i	0.994190	+	0.107635i	$0.0343278\pi$
$840$	−2.53878	−	1.22261i	−0.0875963	−	0.0421841i
$841$	19.0509	−	9.17444i	0.656928	−	0.316360i
$842$	1.25965	−	5.51889i	0.0434104	−	0.190193i
$843$	1.99850	−	2.50604i	0.0688321	−	0.0863127i
$844$	1.41442	−	1.77363i	0.0486864	−	0.0610509i
$845$	−10.7122	+	5.15875i	−0.368512	+	0.177466i
$846$	2.17440	+	9.52666i	0.0747573	+	0.327533i
$847$	−61.4347	−	77.0366i	−2.11092	−	2.64701i
$848$	1.20884	+	5.29628i	0.0415118	+	0.181875i
$849$	12.5525	+	6.04498i	0.430801	+	0.207463i
$850$	1.60513	−	2.01278i	0.0550557	−	0.0690376i
$851$	0.878525	+	0.423075i	0.0301155	+	0.0145028i
$852$	3.96155	+	4.96763i	0.135721	+	0.170188i
$853$	4.11063			0.140745			0.0703726	−	0.997521i	$-0.477581\pi$
$853$	4.11063			0.140745			0.0703726	+	0.997521i	$0.477581\pi$
$854$	40.9143			1.40006
$855$	−3.81805	−	4.78768i	−0.130575	−	0.163735i
$856$	1.27751	−	0.615217i	0.0436645	−	0.0210277i
$857$	0.423185	−	1.85409i	0.0144557	−	0.0633346i	−0.967186	−	0.254071i	$-0.918230\pi$
$857$	0.423185	−	1.85409i	0.0144557	−	0.0633346i	0.981641	+	0.190736i	$0.0610875\pi$
$858$	1.11518	+	4.88593i	0.0380717	+	0.166803i
$859$	−37.9761			−1.29573			−0.647864	−	0.761756i	$-0.724338\pi$
$859$	−37.9761			−1.29573			−0.647864	+	0.761756i	$0.724338\pi$
$860$	5.91537	+	2.82992i	0.201712	+	0.0964994i
$861$	−24.6536			−0.840194
$862$	5.26444	+	23.0650i	0.179308	+	0.785598i
$863$	11.3444	−	49.7032i	0.386169	−	1.69192i	−0.291517	−	0.956566i	$-0.594160\pi$
$863$	11.3444	−	49.7032i	0.386169	−	1.69192i	0.677686	−	0.735351i	$-0.262983\pi$
$864$	3.75762	−	1.80957i	0.127837	−	0.0615630i
$865$	1.72693	+	2.16551i	0.0587175	+	0.0736294i
$866$	−15.0060			−0.509926
$867$	−8.00430			−0.271840
$868$	16.9144	+	21.2100i	0.574113	+	0.719915i
$869$	9.56859	+	4.60799i	0.324592	+	0.156315i
$870$	1.34851	−	1.69098i	0.0457187	−	0.0573295i
$871$	6.30019	+	3.03401i	0.213474	+	0.102804i
$872$	2.51893	+	11.0362i	0.0853018	+	0.373732i
$873$	−6.08328	−	7.62819i	−0.205888	−	0.258175i
$874$	−2.92483	−	12.8145i	−0.0989340	−	0.433458i
$875$	−3.28985	+	1.58431i	−0.111217	+	0.0535594i
$876$	0.0851272	−	0.106746i	0.00287618	−	0.00360662i
$877$	7.43173	−	9.31910i	0.250952	−	0.314684i	−0.640360	−	0.768075i	$-0.721215\pi$
$877$	7.43173	−	9.31910i	0.250952	−	0.314684i	0.891311	+	0.453392i	$0.149786\pi$
$878$	−5.83545	+	25.5668i	−0.196937	+	0.862837i
$879$	20.5321	−	9.88774i	0.692531	−	0.333505i
$880$	−5.55283	−	2.67410i	−0.187186	−	0.0901439i
$881$	−5.46807	+	23.9572i	−0.184224	+	0.807137i	0.795366	+	0.606130i	$0.207279\pi$
$881$	−5.46807	+	23.9572i	−0.184224	+	0.807137i	−0.979590	+	0.201008i	$0.935578\pi$
$882$	3.38852	−	14.8461i	0.114097	−	0.499894i
$883$	44.2407	+	21.3052i	1.48882	+	0.716978i	0.988829	−	0.149053i	$-0.0476226\pi$
$883$	44.2407	+	21.3052i	1.48882	+	0.716978i	0.499990	+	0.866031i	$0.333337\pi$
$884$	−2.44407	+	1.17700i	−0.0822029	+	0.0395868i
$885$	−1.20226	+	5.26744i	−0.0404135	+	0.177063i
$886$	−24.4694	+	30.6837i	−0.822065	+	1.03084i
$887$	2.07009	−	2.59581i	0.0695067	−	0.0871586i	−0.745863	−	0.666100i	$-0.767962\pi$
$887$	2.07009	−	2.59581i	0.0695067	−	0.0871586i	0.815369	+	0.578941i	$0.196534\pi$
$888$	−0.131361	+	0.0632599i	−0.00440817	+	0.00212286i
$889$	14.8373	+	65.0065i	0.497627	+	2.18025i
$890$	3.39890	+	4.26208i	0.113931	+	0.142865i
$891$	5.47880	+	24.0042i	0.183547	+	0.804171i
$892$	−21.8551	−	10.5249i	−0.731763	−	0.352398i
$893$	−6.45310	+	8.09194i	−0.215945	+	0.270786i
$894$	−12.2762	−	5.91189i	−0.410577	−	0.197723i
$895$	−1.08517	−	1.36076i	−0.0362732	−	0.0454851i
$896$	−3.65146			−0.121987
$897$	−4.19671			−0.140124
$898$	13.4500	+	16.8658i	0.448832	+	0.562818i
$899$	−18.7606	+	9.03463i	−0.625701	+	0.301322i
$900$	0.535046	−	2.34419i	0.0178349	−	0.0781397i
$901$	3.11209	+	13.6349i	0.103679	+	0.454246i
$902$	−53.9225			−1.79542
$903$	4.06521	−	18.0250i	0.135282	−	0.599836i
$904$	8.25309			0.274494
$905$	3.90436	+	17.1061i	0.129785	+	0.568626i
$906$	−0.769397	+	3.37095i	−0.0255615	+	0.111992i
$907$	−33.1785	+	15.9779i	−1.10168	+	0.530539i	−0.894185	−	0.447698i	$-0.852244\pi$
$907$	−33.1785	+	15.9779i	−1.10168	+	0.530539i	−0.207490	+	0.978237i	$0.566530\pi$
$908$	−13.7075	−	17.1887i	−0.454901	−	0.570428i
$909$	−26.0657			−0.864544
$910$	3.84758			0.127546
$911$	−19.7453	−	24.7598i	−0.654190	−	0.820328i	0.338507	−	0.940964i	$-0.390078\pi$
$911$	−19.7453	−	24.7598i	−0.654190	−	0.820328i	−0.992697	+	0.120636i	$0.961507\pi$
$912$	1.77072	+	0.852736i	0.0586345	+	0.0282369i
$913$	12.2265	−	15.3316i	0.404638	−	0.507401i
$914$	27.3733	+	13.1823i	0.905429	+	0.436031i
$915$	−1.92411	−	8.43006i	−0.0636090	−	0.278689i
$916$	8.43654	+	10.5791i	0.278751	+	0.349543i
$917$	−12.6743	−	55.5297i	−0.418542	−	1.83375i
$918$	9.67375	−	4.65863i	0.319281	−	0.153758i
$919$	1.46448	−	1.83641i	0.0483089	−	0.0605774i	−0.757090	−	0.653310i	$-0.773380\pi$
$919$	1.46448	−	1.83641i	0.0483089	−	0.0605774i	0.805399	+	0.592733i	$0.201951\pi$
$920$	3.21787	−	4.03508i	0.106090	−	0.133033i
$921$	3.13238	−	13.7239i	0.103215	−	0.452216i
$922$	11.1801	−	5.38406i	0.368197	−	0.177314i
$923$	−7.81660	−	3.76427i	−0.257286	−	0.123903i
$924$	−3.86448	+	16.9314i	−0.127132	+	0.557002i
$925$	−0.0420414	+	0.184195i	−0.00138231	+	0.00605630i
$926$	27.3618	+	13.1767i	0.899164	+	0.433015i
$927$	−38.4491	+	18.5161i	−1.26283	+	0.608149i
$928$	0.623657	−	2.73242i	0.0204725	−	0.0896961i
$929$	−10.9206	+	13.6940i	−0.358293	+	0.449286i	−0.928010	−	0.372556i	$-0.878482\pi$
$929$	−10.9206	+	13.6940i	−0.358293	+	0.449286i	0.569716	+	0.821841i	$0.307053\pi$
$930$	3.57471	−	4.48254i	0.117219	−	0.146988i
$931$	14.5318	−	6.99816i	0.476261	−	0.229355i
$932$	0.242941	+	1.06439i	0.00795779	+	0.0348654i
$933$	15.7766	+	19.7832i	0.516502	+	0.647674i
$934$	5.76804	+	25.2715i	0.188736	+	0.826907i
$935$	−14.2954	−	6.88430i	−0.467510	−	0.225141i
$936$	−1.57969	+	1.98087i	−0.0516337	+	0.0647466i
$937$	−26.7476	−	12.8810i	−0.873806	−	0.420803i	−0.0574477	−	0.998349i	$-0.518296\pi$
$937$	−26.7476	−	12.8810i	−0.873806	−	0.420803i	−0.816358	+	0.577546i	$0.804011\pi$
$938$	15.1084	+	18.9453i	0.493307	+	0.618587i
$939$	10.3250			0.336943
$940$	−4.06394			−0.132551
$941$	−14.7609	−	18.5096i	−0.481192	−	0.603396i	0.480680	−	0.876896i	$-0.340390\pi$
$941$	−14.7609	−	18.5096i	−0.481192	−	0.603396i	−0.961872	+	0.273500i	$0.911819\pi$
$942$	11.6604	−	5.61535i	0.379916	−	0.182958i
$943$	10.0479	−	44.0227i	0.327205	−	1.43358i
$944$	1.55793	+	6.82575i	0.0507064	+	0.222159i
$945$	−15.2289			−0.495397
$946$	8.89144	−	39.4244i	0.289086	−	1.28180i
$947$	−46.6718			−1.51663			−0.758315	−	0.651888i	$-0.773977\pi$
$947$	−46.6718			−1.51663			−0.758315	+	0.651888i	$0.773977\pi$
$948$	−0.295906	−	1.29645i	−0.00961058	−	0.0421067i
$949$	−0.0414841	+	0.181754i	−0.00134663	+	0.00589998i
$950$	2.29457	−	1.10501i	0.0744457	−	0.0358512i
$951$	−1.38329	−	1.73459i	−0.0448563	−	0.0562480i
$952$	−9.40044			−0.304670
$953$	45.7790			1.48293			0.741463	−	0.670994i	$-0.234132\pi$
$953$	45.7790			1.48293			0.741463	+	0.670994i	$0.234132\pi$
$954$	8.14420	+	10.2125i	0.263678	+	0.330642i
$955$	−5.94276	−	2.86188i	−0.192303	−	0.0926083i
$956$	−14.4628	+	18.1358i	−0.467761	+	0.586554i
$957$	−12.0099	−	5.78365i	−0.388224	−	0.186959i
$958$	1.65827	+	7.26536i	0.0535763	+	0.234733i
$959$	15.4641	+	19.3914i	0.499363	+	0.626181i
$960$	0.171720	+	0.752353i	0.00554223	+	0.0242821i
$961$	−21.8017	+	10.4991i	−0.703281	+	0.338682i
$962$	0.124124	−	0.155647i	0.00400193	−	0.00501826i
$963$	2.12572	−	2.66556i	0.0685002	−	0.0858966i
$964$	−0.881535	+	3.86226i	−0.0283923	+	0.124395i
$965$	12.0878	−	5.82117i	0.389119	−	0.187390i
$966$	−13.1028	−	6.30997i	−0.421575	−	0.203020i
$967$	5.45884	−	23.9167i	0.175544	−	0.769110i	−0.808108	−	0.589034i	$-0.799508\pi$
$967$	5.45884	−	23.9167i	0.175544	−	0.769110i	0.983653	−	0.180076i	$-0.0576345\pi$
$968$	−6.00467	+	26.3082i	−0.192997	+	0.845576i
$969$	4.55862	+	2.19531i	0.146444	+	0.0705236i
$970$	3.65593	−	1.76060i	0.117385	−	0.0565295i
$971$	−8.49592	+	37.2231i	−0.272647	+	1.19455i	0.634228	+	0.773146i	$0.281318\pi$
$971$	−8.49592	+	37.2231i	−0.272647	+	1.19455i	−0.906875	+	0.421399i	$0.861539\pi$
$972$	9.72322	−	12.1925i	0.311872	−	0.391076i
$973$	−38.7275	+	48.5627i	−1.24155	+	1.55685i
$974$	−38.6322	+	18.6043i	−1.23786	+	0.596120i
$975$	−0.180943	−	0.792762i	−0.00579481	−	0.0253887i
$976$	−6.98616	−	8.76037i	−0.223621	−	0.280412i
$977$	0.619129	+	2.71258i	0.0198077	+	0.0867832i	0.983866	−	0.178909i	$-0.0572567\pi$
$977$	0.619129	+	2.71258i	0.0198077	+	0.0867832i	−0.964058	+	0.265692i	$0.914400\pi$
$978$	−12.0950	−	5.82463i	−0.386754	−	0.186251i
$979$	20.9480	−	26.2679i	0.669501	−	0.839527i
$980$	5.70596	+	2.74784i	0.182270	+	0.0877767i
$981$	16.9705	+	21.2804i	0.541827	+	0.679430i
$982$	14.2249			0.453933
$983$	−15.5745			−0.496751			−0.248375	−	0.968664i	$-0.579897\pi$
$983$	−15.5745			−0.496751			−0.248375	+	0.968664i	$0.579897\pi$
$984$	4.20963	+	5.27871i	0.134198	+	0.168279i
$985$	−10.0576	+	4.84351i	−0.320463	+	0.154327i
$986$	1.60557	−	7.03444i	0.0511316	−	0.224022i
$987$	2.54820	+	11.1644i	0.0811102	+	0.355367i
$988$	−2.68357			−0.0853758
$989$	30.5295	+	14.6054i	0.970783	+	0.464423i
$990$	−14.8192			−0.470985
$991$	−5.90237	−	25.8600i	−0.187495	−	0.821470i	−0.977932	−	0.208926i	$-0.933003\pi$
$991$	−5.90237	−	25.8600i	−0.187495	−	0.821470i	0.790436	−	0.612544i	$-0.209854\pi$
$992$	1.65323	−	7.24327i	0.0524900	−	0.229974i
$993$	24.7997	−	11.9429i	0.786995	−	0.378997i
$994$	−18.7449	−	23.5053i	−0.594551	−	0.745543i
$995$	−19.7787			−0.627026
$996$	−2.45538			−0.0778016
$997$	4.36486	+	5.47337i	0.138237	+	0.173343i	0.846131	−	0.532975i	$-0.178926\pi$
$997$	4.36486	+	5.47337i	0.138237	+	0.173343i	−0.707894	+	0.706318i	$0.750355\pi$
$998$	1.18666	+	0.571467i	0.0375632	+	0.0180895i
$999$	−0.491290	+	0.616059i	−0.0155437	+	0.0194912i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.b.231.2	yes	18
43.35	even	7	inner	430.2.k.b.121.2	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.b.121.2	✓	18	43.35	even	7	inner
430.2.k.b.231.2	yes	18	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.222521 - 0.974928i) q^{2} +(-0.171720 + 0.752353i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.623490 - 0.781831i) q^{5} +0.771701 q^{6} -3.65146 q^{7} +(0.623490 + 0.781831i) q^{8} +(2.16636 + 1.04326i) q^{9} +O(q^{10})\)	\(q+(-0.222521 - 0.974928i) q^{2} +(-0.171720 + 0.752353i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.623490 - 0.781831i) q^{5} +0.771701 q^{6} -3.65146 q^{7} +(0.623490 + 0.781831i) q^{8} +(2.16636 + 1.04326i) q^{9} +(-0.623490 + 0.781831i) q^{10} +(5.55283 + 2.67410i) q^{11} +(-0.171720 - 0.752353i) q^{12} +(0.656978 + 0.823824i) q^{13} +(0.812526 + 3.55991i) q^{14} +(0.695279 - 0.334829i) q^{15} +(0.623490 - 0.781831i) q^{16} +(1.60513 - 2.01278i) q^{17} +(0.535046 - 2.34419i) q^{18} +(2.29457 - 1.10501i) q^{19} +(0.900969 + 0.433884i) q^{20} +(0.627027 - 2.74719i) q^{21} +(1.37144 - 6.00865i) q^{22} +(4.64995 + 2.23930i) q^{23} +(-0.695279 + 0.334829i) q^{24} +(-0.222521 + 0.974928i) q^{25} +(0.656978 - 0.823824i) q^{26} +(-2.60035 + 3.26074i) q^{27} +(3.28985 - 1.58431i) q^{28} +(0.623657 + 2.73242i) q^{29} +(-0.481148 - 0.603340i) q^{30} +(1.65323 + 7.24327i) q^{31} +(-0.900969 - 0.433884i) q^{32} +(-2.96540 + 3.71849i) q^{33} +(-2.31949 - 1.11701i) q^{34} +(2.27665 + 2.85482i) q^{35} -2.40448 q^{36} +0.188932 q^{37} +(-1.58789 - 1.99115i) q^{38} +(-0.732623 + 0.352812i) q^{39} +(0.222521 - 0.974928i) q^{40} +(-1.94687 - 8.52979i) q^{41} -2.81783 q^{42} +(6.55742 - 0.0169148i) q^{43} -6.16317 q^{44} +(-0.535046 - 2.34419i) q^{45} +(1.14844 - 5.03166i) q^{46} +(-3.66149 + 1.76328i) q^{47} +(0.481148 + 0.603340i) q^{48} +6.33313 q^{49} +1.00000 q^{50} +(1.23868 + 1.55326i) q^{51} +(-0.949360 - 0.457188i) q^{52} +(-3.38710 + 4.24729i) q^{53} +(3.75762 + 1.80957i) q^{54} +(-1.37144 - 6.00865i) q^{55} +(-2.27665 - 2.85482i) q^{56} +(0.437333 + 1.91608i) q^{57} +(2.52514 - 1.21604i) q^{58} +(-4.36523 + 5.47383i) q^{59} +(-0.481148 + 0.603340i) q^{60} +(2.49333 - 10.9240i) q^{61} +(6.69378 - 3.22356i) q^{62} +(-7.91036 - 3.80943i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(0.234473 - 1.02729i) q^{65} +(4.28513 + 2.06361i) q^{66} +(5.97906 - 2.87936i) q^{67} +(-0.572866 + 2.50989i) q^{68} +(-2.48323 + 3.11387i) q^{69} +(2.27665 - 2.85482i) q^{70} +(-7.41816 + 3.57240i) q^{71} +(0.535046 + 2.34419i) q^{72} +(0.110311 + 0.138326i) q^{73} +(-0.0420414 - 0.184195i) q^{74} +(-0.695279 - 0.334829i) q^{75} +(-1.58789 + 1.99115i) q^{76} +(-20.2759 - 9.76436i) q^{77} +(0.506991 + 0.635746i) q^{78} +1.72319 q^{79} -1.00000 q^{80} +(2.49080 + 3.12337i) q^{81} +(-7.88271 + 3.79611i) q^{82} +(0.708010 - 3.10200i) q^{83} +(0.627027 + 2.74719i) q^{84} -2.57444 q^{85} +(-1.47565 - 6.38924i) q^{86} -2.16284 q^{87} +(1.37144 + 6.00865i) q^{88} +(1.21305 - 5.31473i) q^{89} +(-2.16636 + 1.04326i) q^{90} +(-2.39893 - 3.00816i) q^{91} -5.16106 q^{92} -5.73339 q^{93} +(2.53383 + 3.17732i) q^{94} +(-2.29457 - 1.10501i) q^{95} +(0.481148 - 0.603340i) q^{96} +(-3.65593 - 1.76060i) q^{97} +(-1.40925 - 6.17435i) q^{98} +(9.23963 + 11.5861i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

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