LMFDB - Embedded newform 430.2.k.d.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:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			231.2
Character	$\chi$	$=$	430.231
Dual form			430.2.k.d.121.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.222521 + 0.974928i) q^{2} +(-0.167393 + 0.733397i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.623490 - 0.781831i) q^{5} -0.752258 q^{6} +2.76599 q^{7} +(-0.623490 - 0.781831i) q^{8} +(2.19306 + 1.05612i) q^{9} +O(q^{10})$	\(q+(0.222521 + 0.974928i) q^{2} +(-0.167393 + 0.733397i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.623490 - 0.781831i) q^{5} -0.752258 q^{6} +2.76599 q^{7} +(-0.623490 - 0.781831i) q^{8} +(2.19306 + 1.05612i) q^{9} +(0.623490 - 0.781831i) q^{10} +(2.85563 + 1.37520i) q^{11} +(-0.167393 - 0.733397i) q^{12} +(0.0581717 + 0.0729450i) q^{13} +(0.615490 + 2.69664i) q^{14} +(0.677761 - 0.326393i) q^{15} +(0.623490 - 0.781831i) q^{16} +(-1.17148 + 1.46899i) q^{17} +(-0.541640 + 2.37308i) q^{18} +(-7.78866 + 3.75082i) q^{19} +(0.900969 + 0.433884i) q^{20} +(-0.463007 + 2.02857i) q^{21} +(-0.705282 + 3.09004i) q^{22} +(5.51227 + 2.65457i) q^{23} +(0.677761 - 0.326393i) q^{24} +(-0.222521 + 0.974928i) q^{25} +(-0.0581717 + 0.0729450i) q^{26} +(-2.54873 + 3.19601i) q^{27} +(-2.49207 + 1.20012i) q^{28} +(0.133404 + 0.584481i) q^{29} +(0.469025 + 0.588139i) q^{30} +(-0.783699 - 3.43361i) q^{31} +(0.900969 + 0.433884i) q^{32} +(-1.48658 + 1.86411i) q^{33} +(-1.69284 - 0.815227i) q^{34} +(-1.72457 - 2.16254i) q^{35} -2.43411 q^{36} +6.29802 q^{37} +(-5.38992 - 6.75875i) q^{38} +(-0.0632352 + 0.0304525i) q^{39} +(-0.222521 + 0.974928i) q^{40} +(-2.63914 - 11.5628i) q^{41} -2.08074 q^{42} +(0.130782 + 6.55613i) q^{43} -3.16951 q^{44} +(-0.541640 - 2.37308i) q^{45} +(-1.36142 + 5.96477i) q^{46} +(10.4152 - 5.01571i) q^{47} +(0.469025 + 0.588139i) q^{48} +0.650689 q^{49} -1.00000 q^{50} +(-0.881255 - 1.10506i) q^{51} +(-0.0840606 - 0.0404814i) q^{52} +(-6.24905 + 7.83605i) q^{53} +(-3.68303 - 1.77365i) q^{54} +(-0.705282 - 3.09004i) q^{55} +(-1.72457 - 2.16254i) q^{56} +(-1.44707 - 6.34005i) q^{57} +(-0.540142 + 0.260119i) q^{58} +(8.19926 - 10.2815i) q^{59} +(-0.469025 + 0.588139i) q^{60} +(-1.27750 + 5.59711i) q^{61} +(3.17313 - 1.52810i) q^{62} +(6.06596 + 2.92121i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(0.0207612 - 0.0909609i) q^{65} +(-2.14817 - 1.03450i) q^{66} +(7.68453 - 3.70067i) q^{67} +(0.418096 - 1.83180i) q^{68} +(-2.86957 + 3.59833i) q^{69} +(1.72457 - 2.16254i) q^{70} +(4.84618 - 2.33380i) q^{71} +(-0.541640 - 2.37308i) q^{72} +(-8.17401 - 10.2499i) q^{73} +(1.40144 + 6.14012i) q^{74} +(-0.677761 - 0.326393i) q^{75} +(5.38992 - 6.75875i) q^{76} +(7.89863 + 3.80378i) q^{77} +(-0.0437601 - 0.0548735i) q^{78} -17.5838 q^{79} -1.00000 q^{80} +(2.63562 + 3.30496i) q^{81} +(10.6857 - 5.14594i) q^{82} +(-0.302413 + 1.32496i) q^{83} +(-0.463007 - 2.02857i) q^{84} +1.87891 q^{85} +(-6.36266 + 1.58638i) q^{86} -0.450988 q^{87} +(-0.705282 - 3.09004i) q^{88} +(-1.11904 + 4.90284i) q^{89} +(2.19306 - 1.05612i) q^{90} +(0.160902 + 0.201765i) q^{91} -6.11816 q^{92} +2.64939 q^{93} +(7.20756 + 9.03799i) q^{94} +(7.78866 + 3.75082i) q^{95} +(-0.469025 + 0.588139i) q^{96} +(1.50314 + 0.723872i) q^{97} +(0.144792 + 0.634375i) q^{98} +(4.81018 + 6.03177i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) $ 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * 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
$3$	−0.167393	+	0.733397i	−0.0966445	+	0.423427i	−0.999985	−	0.00549719i	$-0.998250\pi$
$3$	−0.167393	+	0.733397i	−0.0966445	+	0.423427i	0.903340	+	0.428924i	$0.141107\pi$
$4$	−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
$6$	−0.752258			−0.307108
$7$	2.76599			1.04545			0.522723	−	0.852503i	$-0.324916\pi$
$7$	2.76599			1.04545			0.522723	+	0.852503i	$0.324916\pi$
$8$	−0.623490	−	0.781831i	−0.220437	−	0.276419i
$9$	2.19306	+	1.05612i	0.731018	+	0.352040i
$10$	0.623490	−	0.781831i	0.197165	−	0.247237i
$11$	2.85563	+	1.37520i	0.861004	+	0.414638i	0.811650	−	0.584144i	$-0.198570\pi$
$11$	2.85563	+	1.37520i	0.861004	+	0.414638i	0.0493538	+	0.998781i	$0.484284\pi$
$12$	−0.167393	−	0.733397i	−0.0483222	−	0.211714i
$13$	0.0581717	+	0.0729450i	0.0161339	+	0.0202313i	0.789833	−	0.613322i	$-0.210167\pi$
$13$	0.0581717	+	0.0729450i	0.0161339	+	0.0202313i	−0.773699	+	0.633553i	$0.781596\pi$
$14$	0.615490	+	2.69664i	0.164497	+	0.720707i
$15$	0.677761	−	0.326393i	0.174997	−	0.0842742i
$16$	0.623490	−	0.781831i	0.155872	−	0.195458i
$17$	−1.17148	+	1.46899i	−0.284125	+	0.356282i	−0.903329	−	0.428948i	$-0.858884\pi$
$17$	−1.17148	+	1.46899i	−0.284125	+	0.356282i	0.619203	+	0.785231i	$0.287456\pi$
$18$	−0.541640	+	2.37308i	−0.127666	+	0.559340i
$19$	−7.78866	+	3.75082i	−1.78684	+	0.860498i	−0.837375	+	0.546628i	$0.815911\pi$
$19$	−7.78866	+	3.75082i	−1.78684	+	0.860498i	−0.949466	+	0.313869i	$0.898375\pi$
$20$	0.900969	+	0.433884i	0.201463	+	0.0970194i
$21$	−0.463007	+	2.02857i	−0.101037	+	0.442670i
$22$	−0.705282	+	3.09004i	−0.150367	+	0.658799i
$23$	5.51227	+	2.65457i	1.14939	+	0.553516i	0.908850	−	0.417123i	$-0.136962\pi$
$23$	5.51227	+	2.65457i	1.14939	+	0.553516i	0.240539	+	0.970640i	$0.422676\pi$
$24$	0.677761	−	0.326393i	0.138347	−	0.0666246i
$25$	−0.222521	+	0.974928i	−0.0445042	+	0.194986i
$26$	−0.0581717	+	0.0729450i	−0.0114084	+	0.0143057i
$27$	−2.54873	+	3.19601i	−0.490504	+	0.615073i
$28$	−2.49207	+	1.20012i	−0.470957	+	0.226801i
$29$	0.133404	+	0.584481i	0.0247725	+	0.108535i	0.985803	−	0.167908i	$-0.0537012\pi$
$29$	0.133404	+	0.584481i	0.0247725	+	0.108535i	−0.961030	+	0.276444i	$0.910844\pi$
$30$	0.469025	+	0.588139i	0.0856319	+	0.107379i
$31$	−0.783699	−	3.43361i	−0.140757	−	0.616695i	−0.995260	−	0.0972492i	$-0.968996\pi$
$31$	−0.783699	−	3.43361i	−0.140757	−	0.616695i	0.854503	−	0.519446i	$-0.173862\pi$
$32$	0.900969	+	0.433884i	0.159270	+	0.0767005i
$33$	−1.48658	+	1.86411i	−0.258780	+	0.324500i
$34$	−1.69284	−	0.815227i	−0.290319	−	0.139810i
$35$	−1.72457	−	2.16254i	−0.291505	−	0.365535i
$36$	−2.43411			−0.405685
$37$	6.29802			1.03539			0.517694	−	0.855566i	$-0.326790\pi$
$37$	6.29802			1.03539			0.517694	+	0.855566i	$0.326790\pi$
$38$	−5.38992	−	6.75875i	−0.874361	−	1.09641i
$39$	−0.0632352	+	0.0304525i	−0.0101257	+	0.00487630i
$40$	−0.222521	+	0.974928i	−0.0351836	+	0.154150i
$41$	−2.63914	−	11.5628i	−0.412164	−	1.80581i	−0.573841	−	0.818967i	$-0.694547\pi$
$41$	−2.63914	−	11.5628i	−0.412164	−	1.80581i	0.161677	−	0.986844i	$-0.448310\pi$
$42$	−2.08074			−0.321065
$43$	0.130782	+	6.55613i	0.0199441	+	0.999801i
$43$	0.130782	+	6.55613i	0.0199441	+	0.999801i
$44$	−3.16951			−0.477821
$45$	−0.541640	−	2.37308i	−0.0807429	−	0.353758i
$46$	−1.36142	+	5.96477i	−0.200730	+	0.879457i
$47$	10.4152	−	5.01571i	1.51922	−	0.731616i	0.526285	−	0.850308i	$-0.323584\pi$
$47$	10.4152	−	5.01571i	1.51922	−	0.731616i	0.992931	+	0.118692i	$0.0378701\pi$
$48$	0.469025	+	0.588139i	0.0676980	+	0.0848906i
$49$	0.650689			0.0929555
$50$	−1.00000			−0.141421
$51$	−0.881255	−	1.10506i	−0.123400	−	0.154739i
$52$	−0.0840606	−	0.0404814i	−0.0116571	−	0.00561376i
$53$	−6.24905	+	7.83605i	−0.858372	+	1.07636i	0.137929	+	0.990442i	$0.455955\pi$
$53$	−6.24905	+	7.83605i	−0.858372	+	1.07636i	−0.996302	+	0.0859229i	$0.972616\pi$
$54$	−3.68303	−	1.77365i	−0.501196	−	0.241364i
$55$	−0.705282	−	3.09004i	−0.0951002	−	0.416661i
$56$	−1.72457	−	2.16254i	−0.230455	−	0.288981i
$57$	−1.44707	−	6.34005i	−0.191670	−	0.839760i
$58$	−0.540142	+	0.260119i	−0.0709241	+	0.0341553i
$59$	8.19926	−	10.2815i	1.06745	−	1.33854i	0.129577	−	0.991569i	$-0.458638\pi$
$59$	8.19926	−	10.2815i	1.06745	−	1.33854i	0.937875	−	0.346973i	$-0.112791\pi$
$60$	−0.469025	+	0.588139i	−0.0605509	+	0.0759284i
$61$	−1.27750	+	5.59711i	−0.163568	+	0.716637i	0.824909	+	0.565265i	$0.191226\pi$
$61$	−1.27750	+	5.59711i	−0.163568	+	0.716637i	−0.988477	+	0.151372i	$0.951631\pi$
$62$	3.17313	−	1.52810i	0.402988	−	0.194069i
$63$	6.06596	+	2.92121i	0.764240	+	0.368038i
$64$	−0.222521	+	0.974928i	−0.0278151	+	0.121866i
$65$	0.0207612	−	0.0909609i	0.00257512	−	0.0112823i
$66$	−2.14817	−	1.03450i	−0.264421	−	0.127339i
$67$	7.68453	−	3.70067i	0.938815	−	0.452109i	0.0990638	−	0.995081i	$-0.468415\pi$
$67$	7.68453	−	3.70067i	0.938815	−	0.452109i	0.839751	+	0.542972i	$0.182701\pi$
$68$	0.418096	−	1.83180i	0.0507016	−	0.222138i
$69$	−2.86957	+	3.59833i	−0.345456	+	0.433188i
$70$	1.72457	−	2.16254i	0.206125	−	0.258473i
$71$	4.84618	−	2.33380i	0.575136	−	0.276971i	−0.123621	−	0.992329i	$-0.539451\pi$
$71$	4.84618	−	2.33380i	0.575136	−	0.276971i	0.698758	+	0.715358i	$0.253737\pi$
$72$	−0.541640	−	2.37308i	−0.0638329	−	0.279670i
$73$	−8.17401	−	10.2499i	−0.956696	−	1.19966i	−0.979811	−	0.199926i	$-0.935930\pi$
$73$	−8.17401	−	10.2499i	−0.956696	−	1.19966i	0.0231149	−	0.999733i	$-0.492642\pi$
$74$	1.40144	+	6.14012i	0.162914	+	0.713774i
$75$	−0.677761	−	0.326393i	−0.0782611	−	0.0376886i
$76$	5.38992	−	6.75875i	0.618266	−	0.775281i
$77$	7.89863	+	3.80378i	0.900132	+	0.433481i
$78$	−0.0437601	−	0.0548735i	−0.00495486	−	0.00621320i
$79$	−17.5838			−1.97833			−0.989165	−	0.146806i	$-0.953101\pi$
$79$	−17.5838			−1.97833			−0.989165	+	0.146806i	$0.953101\pi$
$80$	−1.00000			−0.111803
$81$	2.63562	+	3.30496i	0.292846	+	0.367218i
$82$	10.6857	−	5.14594i	1.18003	−	0.568274i
$83$	−0.302413	+	1.32496i	−0.0331941	+	0.145433i	−0.988809	−	0.149185i	$-0.952335\pi$
$83$	−0.302413	+	1.32496i	−0.0331941	+	0.145433i	0.955615	+	0.294618i	$0.0951923\pi$
$84$	−0.463007	−	2.02857i	−0.0505183	−	0.221335i
$85$	1.87891			0.203796
$86$	−6.36266	+	1.58638i	−0.686103	+	0.171064i
$87$	−0.450988			−0.0483510
$88$	−0.705282	−	3.09004i	−0.0751833	−	0.329399i
$89$	−1.11904	+	4.90284i	−0.118618	+	0.519700i	0.880352	+	0.474322i	$0.157307\pi$
$89$	−1.11904	+	4.90284i	−0.118618	+	0.519700i	−0.998970	+	0.0453788i	$0.985551\pi$
$90$	2.19306	−	1.05612i	0.231168	−	0.111325i
$91$	0.160902	+	0.201765i	0.0168671	+	0.0211507i
$92$	−6.11816			−0.637863
$93$	2.64939			0.274729
$94$	7.20756	+	9.03799i	0.743403	+	0.932198i
$95$	7.78866	+	3.75082i	0.799100	+	0.384826i
$96$	−0.469025	+	0.588139i	−0.0478697	+	0.0600267i
$97$	1.50314	+	0.723872i	0.152620	+	0.0734981i	0.508635	−	0.860982i	$-0.330150\pi$
$97$	1.50314	+	0.723872i	0.152620	+	0.0734981i	−0.356014	+	0.934480i	$0.615865\pi$
$98$	0.144792	+	0.634375i	0.0146262	+	0.0640815i
$99$	4.81018	+	6.03177i	0.483441	+	0.606216i
$100$	−0.222521	−	0.974928i	−0.0222521	−	0.0974928i
$101$	−6.10105	+	2.93811i	−0.607077	+	0.292353i	−0.712057	−	0.702121i	$-0.752236\pi$
$101$	−6.10105	+	2.93811i	−0.607077	+	0.292353i	0.104980	+	0.994474i	$0.466522\pi$
$102$	0.881255	−	1.10506i	0.0872572	−	0.109417i
$103$	8.22872	−	10.3185i	0.810800	−	1.01671i	−0.188599	−	0.982054i	$-0.560395\pi$
$103$	8.22872	−	10.3185i	0.810800	−	1.01671i	0.999399	−	0.0346572i	$-0.0110339\pi$
$104$	0.0207612	−	0.0909609i	0.00203581	−	0.00891945i
$105$	1.87468	−	0.902798i	0.182950	−	0.0881040i
$106$	−9.03013	−	4.34868i	−0.877084	−	0.422381i
$107$	3.70286	−	16.2233i	0.357969	−	1.56837i	−0.400275	−	0.916395i	$-0.631085\pi$
$107$	3.70286	−	16.2233i	0.357969	−	1.56837i	0.758244	−	0.651971i	$-0.226057\pi$
$108$	0.909633	−	3.98536i	0.0875294	−	0.383492i
$109$	−17.0469	−	8.20934i	−1.63279	−	0.786313i	−0.999927	−	0.0120526i	$-0.996163\pi$
$109$	−17.0469	−	8.20934i	−1.63279	−	0.786313i	−0.632868	−	0.774260i	$-0.718122\pi$
$110$	2.85563	−	1.37520i	0.272273	−	0.131120i
$111$	−1.05425	+	4.61895i	−0.100065	+	0.438412i
$112$	1.72457	−	2.16254i	0.162956	−	0.204340i
$113$	2.34198	−	2.93675i	0.220315	−	0.276266i	−0.659375	−	0.751814i	$-0.729179\pi$
$113$	2.34198	−	2.93675i	0.220315	−	0.276266i	0.879690	+	0.475548i	$0.157750\pi$
$114$	5.85908	−	2.82159i	0.548753	−	0.264266i
$115$	−1.36142	−	5.96477i	−0.126953	−	0.556217i
$116$	−0.373790	−	0.468718i	−0.0347055	−	0.0435193i
$117$	0.0505351	+	0.221409i	0.00467197	+	0.0204692i
$118$	11.8483	+	5.70582i	1.09072	+	0.525264i
$119$	−3.24030	+	4.06320i	−0.297038	+	0.372473i
$120$	−0.677761	−	0.326393i	−0.0618708	−	0.0297954i
$121$	−0.594949	−	0.746042i	−0.0540863	−	0.0678220i
$122$	−5.74105			−0.519770
$123$	8.92192			0.804463
$124$	2.19588	+	2.75354i	0.197196	+	0.247275i
$125$	0.900969	−	0.433884i	0.0805851	−	0.0388077i
$126$	−1.49817	+	6.56391i	−0.133468	+	0.584760i
$127$	−0.0541284	−	0.237152i	−0.00480312	−	0.0210439i	0.972470	−	0.233030i	$-0.0748640\pi$
$127$	−0.0541284	−	0.237152i	−0.00480312	−	0.0210439i	−0.977273	+	0.211986i	$0.932007\pi$
$128$	−1.00000			−0.0883883
$129$	−4.83014	−	1.00154i	−0.425270	−	0.0881804i
$130$	0.0933002			0.00818297
$131$	−2.26209	−	9.91087i	−0.197640	−	0.865917i	−0.972337	−	0.233584i	$-0.924955\pi$
$131$	−2.26209	−	9.91087i	−0.197640	−	0.865917i	0.774697	−	0.632333i	$-0.217903\pi$
$132$	0.530554	−	2.32451i	0.0461788	−	0.202322i
$133$	−21.5433	+	10.3747i	−1.86804	+	0.899603i
$134$	5.31786	+	6.66839i	0.459393	+	0.576061i
$135$	4.08785			0.351826
$136$	1.87891			0.161115
$137$	−3.96952	−	4.97762i	−0.339139	−	0.425267i	0.582792	−	0.812622i	$-0.301960\pi$
$137$	−3.96952	−	4.97762i	−0.339139	−	0.425267i	−0.921931	+	0.387355i	$0.873389\pi$
$138$	−4.14665	−	1.99692i	−0.352987	−	0.169989i
$139$	0.376827	−	0.472526i	0.0319620	−	0.0400791i	−0.765594	−	0.643325i	$-0.777555\pi$
$139$	0.376827	−	0.472526i	0.0319620	−	0.0400791i	0.797556	+	0.603245i	$0.206126\pi$
$140$	2.49207	+	1.20012i	0.210618	+	0.101428i
$141$	1.93507	+	8.47809i	0.162962	+	0.713984i
$142$	3.35366	+	4.20536i	0.281433	+	0.352906i
$143$	0.0658029	+	0.288301i	0.00550272	+	0.0241090i
$144$	2.19306	−	1.05612i	0.182755	−	0.0880100i
$145$	0.373790	−	0.468718i	0.0310416	−	0.0389249i
$146$	8.17401	−	10.2499i	0.676486	−	0.848287i
$147$	−0.108921	+	0.477213i	−0.00898364	+	0.0393599i
$148$	−5.67432	+	2.73261i	−0.466427	+	0.224619i
$149$	−2.11649	−	1.01925i	−0.173390	−	0.0835001i	0.345176	−	0.938538i	$-0.387819\pi$
$149$	−2.11649	−	1.01925i	−0.173390	−	0.0835001i	−0.518565	+	0.855038i	$0.673534\pi$
$150$	0.167393	−	0.733397i	0.0136676	−	0.0598816i
$151$	1.75446	−	7.68678i	0.142776	−	0.625542i	−0.852007	−	0.523530i	$-0.824615\pi$
$151$	1.75446	−	7.68678i	0.142776	−	0.625542i	0.994783	−	0.102012i	$-0.0325280\pi$
$152$	7.78866	+	3.75082i	0.631744	+	0.304232i
$153$	−4.12055	+	1.98435i	−0.333126	+	0.160425i
$154$	−1.95080	+	8.54702i	−0.157200	+	0.688738i
$155$	−2.19588	+	2.75354i	−0.176377	+	0.221170i
$156$	0.0437601	−	0.0548735i	0.00350362	−	0.00439339i
$157$	−10.5541	+	5.08260i	−0.842311	+	0.405636i	−0.804718	−	0.593657i	$-0.797683\pi$
$157$	−10.5541	+	5.08260i	−0.842311	+	0.405636i	−0.0375933	+	0.999293i	$0.511969\pi$
$158$	−3.91276	−	17.1429i	−0.311283	−	1.36382i
$159$	−4.70089	−	5.89474i	−0.372805	−	0.467483i
$160$	−0.222521	−	0.974928i	−0.0175918	−	0.0770748i
$161$	15.2469	+	7.34251i	1.20162	+	0.578671i
$162$	−2.63562	+	3.30496i	−0.207074	+	0.259662i
$163$	1.31138	+	0.631529i	0.102716	+	0.0494652i	0.484536	−	0.874771i	$-0.338988\pi$
$163$	1.31138	+	0.631529i	0.102716	+	0.0494652i	−0.381820	+	0.924237i	$0.624703\pi$
$164$	7.39471	+	9.27267i	0.577430	+	0.724074i
$165$	2.38429			0.185617
$166$	−1.35903			−0.105481
$167$	−4.76597	−	5.97634i	−0.368802	−	0.462463i	0.562454	−	0.826829i	$-0.309857\pi$
$167$	−4.76597	−	5.97634i	−0.368802	−	0.462463i	−0.931256	+	0.364365i	$0.881286\pi$
$168$	1.87468	−	0.902798i	0.144635	−	0.0696524i
$169$	2.89084	−	12.6656i	0.222372	−	0.974275i
$170$	0.418096	+	1.83180i	0.0320665	+	0.140493i
$171$	−21.0423			−1.60914
$172$	−2.96243	−	5.85013i	−0.225883	−	0.446068i
$173$	13.7796			1.04764			0.523822	−	0.851828i	$-0.324506\pi$
$173$	13.7796			1.04764			0.523822	+	0.851828i	$0.324506\pi$
$174$	−0.100354	−	0.439681i	−0.00760784	−	0.0333321i
$175$	−0.615490	+	2.69664i	−0.0465267	+	0.203847i
$176$	2.85563	−	1.37520i	0.215251	−	0.103659i
$177$	6.16796	+	7.73437i	0.463612	+	0.581351i
$178$	−5.02893			−0.376934
$179$	7.38729			0.552152			0.276076	−	0.961136i	$-0.410966\pi$
$179$	7.38729			0.552152			0.276076	+	0.961136i	$0.410966\pi$
$180$	1.51764	+	1.90306i	0.113118	+	0.141846i
$181$	9.03597	+	4.35149i	0.671638	+	0.323444i	0.738437	−	0.674323i	$-0.235564\pi$
$181$	9.03597	+	4.35149i	0.671638	+	0.323444i	−0.0667986	+	0.997766i	$0.521279\pi$
$182$	−0.160902	+	0.201765i	−0.0119269	+	0.0149558i
$183$	−3.89106	−	1.87384i	−0.287636	−	0.138518i
$184$	−1.36142	−	5.96477i	−0.100365	−	0.439728i
$185$	−3.92675	−	4.92399i	−0.288701	−	0.362019i
$186$	0.589544	+	2.58296i	0.0432275	+	0.189392i
$187$	−5.36546	+	2.58387i	−0.392361	+	0.188951i
$188$	−7.20756	+	9.03799i	−0.525665	+	0.659163i
$189$	−7.04977	+	8.84013i	−0.512795	+	0.643025i
$190$	−1.92364	+	8.42802i	−0.139556	+	0.611433i
$191$	8.67606	−	4.17817i	0.627778	−	0.302322i	−0.0928118	−	0.995684i	$-0.529585\pi$
$191$	8.67606	−	4.17817i	0.627778	−	0.302322i	0.720590	+	0.693362i	$0.243871\pi$
$192$	−0.677761	−	0.326393i	−0.0489132	−	0.0235554i
$193$	−3.73964	+	16.3844i	−0.269185	+	1.17938i	0.641778	+	0.766890i	$0.278197\pi$
$193$	−3.73964	+	16.3844i	−0.269185	+	1.17938i	−0.910963	+	0.412487i	$0.864660\pi$
$194$	−0.371244	+	1.62653i	−0.0266538	+	0.116778i
$195$	0.0632352	+	0.0304525i	0.00452837	+	0.00218075i
$196$	−0.586250	+	0.282323i	−0.0418750	+	0.0201659i
$197$	−2.49015	+	10.9101i	−0.177416	+	0.777310i	0.805402	+	0.592730i	$0.201950\pi$
$197$	−2.49015	+	10.9101i	−0.177416	+	0.777310i	−0.982817	+	0.184580i	$0.940907\pi$
$198$	−4.81018	+	6.03177i	−0.341844	+	0.428659i
$199$	−11.9971	+	15.0439i	−0.850452	+	1.06643i	0.146561	+	0.989202i	$0.453180\pi$
$199$	−11.9971	+	15.0439i	−0.850452	+	1.06643i	−0.997013	+	0.0772316i	$0.975392\pi$
$200$	0.900969	−	0.433884i	0.0637081	−	0.0306802i
$201$	1.42773	+	6.25528i	0.100704	+	0.441214i
$202$	−4.22206	−	5.29430i	−0.297063	−	0.372505i
$203$	0.368994	+	1.61667i	0.0258983	+	0.113468i
$204$	1.27345	+	0.613261i	0.0891593	+	0.0429369i
$205$	−7.39471	+	9.27267i	−0.516469	+	0.647631i
$206$	11.8909	+	5.72633i	0.828475	+	0.398972i
$207$	9.28518	+	11.6432i	0.645364	+	0.809261i
$208$	0.0933002			0.00646920
$209$	−27.3996			−1.89527
$210$	1.29732	+	1.62679i	0.0895235	+	0.112259i
$211$	−2.72707	+	1.31329i	−0.187739	+	0.0904104i	−0.525392	−	0.850860i	$-0.676081\pi$
$211$	−2.72707	+	1.31329i	−0.187739	+	0.0904104i	0.337653	+	0.941271i	$0.390367\pi$
$212$	2.23026	−	9.77140i	0.153175	−	0.671103i
$213$	0.900384	+	3.94484i	0.0616933	+	0.270296i
$214$	16.6405			1.13752
$215$	5.04425	−	4.18993i	0.344015	−	0.285751i
$216$	4.08785			0.278143
$217$	−2.16770	−	9.49733i	−0.147153	−	0.644721i
$218$	4.21023	−	18.4462i	0.285153	−	1.24934i
$219$	8.88552	−	4.27904i	0.600428	−	0.289151i
$220$	1.97616	+	2.47802i	0.133232	+	0.167068i
$221$	−0.175302			−0.0117921
$222$	−4.73774			−0.317976
$223$	−2.71320	−	3.40224i	−0.181689	−	0.227831i	0.682643	−	0.730752i	$-0.260830\pi$
$223$	−2.71320	−	3.40224i	−0.181689	−	0.227831i	−0.864333	+	0.502921i	$0.832259\pi$
$224$	2.49207	+	1.20012i	0.166508	+	0.0801862i
$225$	−1.51764	+	1.90306i	−0.101176	+	0.126871i
$226$	3.38426	+	1.62977i	0.225117	+	0.108411i
$227$	3.36452	+	14.7409i	0.223311	+	0.978390i	0.954966	+	0.296715i	$0.0958911\pi$
$227$	3.36452	+	14.7409i	0.223311	+	0.978390i	−0.731655	+	0.681675i	$0.761252\pi$
$228$	4.05461	+	5.08432i	0.268523	+	0.336717i
$229$	−2.42302	−	10.6159i	−0.160118	−	0.701521i	−0.989702	−	0.143141i	$-0.954280\pi$
$229$	−2.42302	−	10.6159i	−0.160118	−	0.701521i	0.829585	−	0.558381i	$-0.188577\pi$
$230$	5.51227	−	2.65457i	0.363469	−	0.175037i
$231$	−4.11186	+	5.15611i	−0.270540	+	0.339247i
$232$	0.373790	−	0.468718i	0.0245405	−	0.0307728i
$233$	3.58633	−	15.7127i	0.234948	−	1.02938i	−0.710524	−	0.703673i	$-0.751542\pi$
$233$	3.58633	−	15.7127i	0.234948	−	1.02938i	0.945472	−	0.325703i	$-0.105601\pi$
$234$	−0.204612	+	0.0985362i	−0.0133759	+	0.00644151i
$235$	−10.4152	−	5.01571i	−0.679414	−	0.327189i
$236$	−2.92628	+	12.8209i	−0.190485	+	0.834568i
$237$	2.94341	−	12.8959i	0.191195	−	0.837679i
$238$	−4.68237	−	2.25491i	−0.303513	−	0.146164i
$239$	5.16536	−	2.48751i	0.334119	−	0.160903i	−0.259300	−	0.965797i	$-0.583492\pi$
$239$	5.16536	−	2.48751i	0.334119	−	0.160903i	0.593419	+	0.804893i	$0.297778\pi$
$240$	0.167393	−	0.733397i	0.0108052	−	0.0473406i
$241$	−10.4768	+	13.1375i	−0.674870	+	0.846260i	−0.994870	−	0.101158i	$-0.967745\pi$
$241$	−10.4768	+	13.1375i	−0.674870	+	0.846260i	0.320001	+	0.947417i	$0.396317\pi$
$242$	0.594949	−	0.746042i	0.0382448	−	0.0479574i
$243$	−13.9141	+	6.70068i	−0.892591	+	0.429849i
$244$	−1.27750	−	5.59711i	−0.0817838	−	0.358318i
$245$	−0.405698	−	0.508729i	−0.0259191	−	0.0325015i
$246$	1.98531	+	8.69823i	0.126579	+	0.554579i
$247$	−0.726684	−	0.349952i	−0.0462378	−	0.0222669i
$248$	−2.19588	+	2.75354i	−0.139438	+	0.174850i
$249$	−0.921099	−	0.443578i	−0.0583723	−	0.0281106i
$250$	0.623490	+	0.781831i	0.0394330	+	0.0494474i
$251$	−17.1548			−1.08280			−0.541399	−	0.840766i	$-0.682105\pi$
$251$	−17.1548			−1.08280			−0.541399	+	0.840766i	$0.682105\pi$
$252$	−6.73271			−0.424121
$253$	12.0904	+	15.1609i	0.760119	+	0.953160i
$254$	0.219162	−	0.105543i	0.0137514	−	0.00662234i
$255$	−0.314516	+	1.37799i	−0.0196958	+	0.0862928i
$256$	−0.222521	−	0.974928i	−0.0139076	−	0.0609330i
$257$	−3.30523			−0.206175			−0.103087	−	0.994672i	$-0.532872\pi$
$257$	−3.30523			−0.206175			−0.103087	+	0.994672i	$0.532872\pi$
$258$	−0.0983821	−	4.93191i	−0.00612500	−	0.307047i
$259$	17.4203			1.08244
$260$	0.0207612	+	0.0909609i	0.00128756	+	0.00564116i
$261$	−0.324720	+	1.42269i	−0.0200997	+	0.0880623i
$262$	9.15902	−	4.41075i	0.565846	−	0.272497i
$263$	9.06328	+	11.3650i	0.558866	+	0.700795i	0.978348	−	0.206968i	$-0.0663597\pi$
$263$	9.06328	+	11.3650i	0.558866	+	0.700795i	−0.419482	+	0.907764i	$0.637788\pi$
$264$	2.38429			0.146743
$265$	10.0227			0.615689
$266$	−14.9085	−	18.6946i	−0.914096	−	1.14624i
$267$	−3.40841	−	1.64141i	−0.208591	−	0.100452i
$268$	−5.31786	+	6.66839i	−0.324840	+	0.407336i
$269$	−9.92126	−	4.77783i	−0.604910	−	0.291309i	0.106250	−	0.994339i	$-0.466116\pi$
$269$	−9.92126	−	4.77783i	−0.604910	−	0.291309i	−0.711160	+	0.703030i	$0.751830\pi$
$270$	0.909633	+	3.98536i	0.0553585	+	0.242541i
$271$	14.5176	+	18.2045i	0.881880	+	1.10584i	0.993695	+	0.112114i	$0.0357621\pi$
$271$	14.5176	+	18.2045i	0.881880	+	1.10584i	−0.111815	+	0.993729i	$0.535666\pi$
$272$	0.418096	+	1.83180i	0.0253508	+	0.111069i
$273$	−0.174908	+	0.0842312i	−0.0105859	+	0.00509790i
$274$	3.96952	−	4.97762i	0.239808	−	0.300709i
$275$	−1.97616	+	2.47802i	−0.119167	+	0.149430i
$276$	1.02414	−	4.48704i	0.0616459	−	0.270088i
$277$	−10.0333	+	4.83176i	−0.602840	+	0.290312i	−0.710302	−	0.703897i	$-0.751442\pi$
$277$	−10.0333	+	4.83176i	−0.602840	+	0.290312i	0.107462	+	0.994209i	$0.465727\pi$
$278$	0.544531	+	0.262232i	0.0326588	+	0.0157276i
$279$	1.90761	−	8.35778i	0.114206	−	0.500367i
$280$	−0.615490	+	2.69664i	−0.0367826	+	0.161155i
$281$	10.4795	+	5.04666i	0.625155	+	0.301059i	0.719512	−	0.694480i	$-0.244365\pi$
$281$	10.4795	+	5.04666i	0.625155	+	0.301059i	−0.0943576	+	0.995538i	$0.530080\pi$
$282$	−7.83494	+	3.77311i	−0.466564	+	0.224685i
$283$	−1.34579	+	5.89630i	−0.0799991	+	0.350499i	−0.999047	−	0.0436469i	$-0.986102\pi$
$283$	−1.34579	+	5.89630i	−0.0799991	+	0.350499i	0.919048	+	0.394146i	$0.128959\pi$
$284$	−3.35366	+	4.20536i	−0.199003	+	0.249542i
$285$	−4.05461	+	5.08432i	−0.240174	+	0.301169i
$286$	−0.266431	+	0.128306i	−0.0157544	+	0.00758690i
$287$	−7.29983	−	31.9826i	−0.430895	−	1.88788i
$288$	1.51764	+	1.90306i	0.0894279	+	0.112139i
$289$	2.99729	+	13.1320i	0.176311	+	0.772470i
$290$	0.540142	+	0.260119i	0.0317182	+	0.0152747i
$291$	−0.782501	+	0.981225i	−0.0458710	+	0.0575204i
$292$	11.8118	+	5.68826i	0.691233	+	0.332880i
$293$	−4.78269	−	5.99731i	−0.279408	−	0.350366i	0.622248	−	0.782820i	$-0.286219\pi$
$293$	−4.78269	−	5.99731i	−0.279408	−	0.350366i	−0.901656	+	0.432453i	$0.857648\pi$
$294$	−0.489486			−0.0285474
$295$	−13.1506			−0.765657
$296$	−3.92675	−	4.92399i	−0.228238	−	0.286201i
$297$	−11.6734	+	5.62160i	−0.677358	+	0.326199i
$298$	0.522730	−	2.29023i	0.0302809	−	0.132669i
$299$	0.127021	+	0.556514i	0.00734579	+	0.0321840i
$300$	0.752258			0.0434316
$301$	0.361743	+	18.1342i	0.0208505	+	1.04524i
$302$	7.88446			0.453700
$303$	−1.13353	−	4.96632i	−0.0651196	−	0.285307i
$304$	−1.92364	+	8.42802i	−0.110328	+	0.483380i
$305$	5.17251	−	2.49095i	0.296177	−	0.142631i
$306$	−2.85151	−	3.57568i	−0.163010	−	0.204408i
$307$	33.3555			1.90370			0.951850	−	0.306564i	$-0.0991792\pi$
$307$	33.3555			1.90370			0.951850	+	0.306564i	$0.0991792\pi$
$308$	−8.76682			−0.499536
$309$	6.19012	+	7.76217i	0.352144	+	0.441574i
$310$	−3.17313	−	1.52810i	−0.180222	−	0.0867903i
$311$	0.611198	−	0.766418i	0.0346579	−	0.0434596i	−0.764201	−	0.644979i	$-0.776866\pi$
$311$	0.611198	−	0.766418i	0.0346579	−	0.0434596i	0.798858	+	0.601519i	$0.205438\pi$
$312$	0.0632352	+	0.0304525i	0.00357999	+	0.00172403i
$313$	1.79733	+	7.87461i	0.101591	+	0.445099i	0.999983	+	0.00590385i	$0.00187927\pi$
$313$	1.79733	+	7.87461i	0.101591	+	0.445099i	−0.898392	+	0.439195i	$0.855264\pi$
$314$	−7.30368	−	9.15853i	−0.412171	−	0.516846i
$315$	−1.49817	−	6.56391i	−0.0844123	−	0.369834i
$316$	15.8424	−	7.62932i	0.891207	−	0.429183i
$317$	−1.71661	+	2.15256i	−0.0964146	+	0.120900i	−0.827698	−	0.561173i	$-0.810350\pi$
$317$	−1.71661	+	2.15256i	−0.0964146	+	0.120900i	0.731284	+	0.682073i	$0.238922\pi$
$318$	4.70089	−	5.89474i	0.263613	−	0.330560i
$319$	−0.422825	+	1.85252i	−0.0236737	+	0.103721i
$320$	0.900969	−	0.433884i	0.0503657	−	0.0242548i
$321$	11.2783	+	5.43134i	0.629493	+	0.303148i
$322$	−3.76567	+	16.4985i	−0.209853	+	0.919424i
$323$	3.61434	−	15.8355i	0.201107	−	0.881109i
$324$	−3.80858	−	1.83412i	−0.211588	−	0.101895i
$325$	−0.0840606	+	0.0404814i	−0.00466284	+	0.00224551i
$326$	−0.323885	+	1.41903i	−0.0179383	+	0.0785930i
$327$	8.87424	−	11.1279i	0.490747	−	0.615377i
$328$	−7.39471	+	9.27267i	−0.408304	+	0.511997i
$329$	28.8084	−	13.8734i	1.58826	−	0.764865i
$330$	0.530554	+	2.32451i	0.0292060	+	0.127960i
$331$	6.41055	+	8.03857i	0.352356	+	0.441840i	0.926148	−	0.377161i	$-0.123100\pi$
$331$	6.41055	+	8.03857i	0.352356	+	0.441840i	−0.573792	+	0.819001i	$0.694528\pi$
$332$	−0.302413	−	1.32496i	−0.0165971	−	0.0727165i
$333$	13.8119	+	6.65147i	0.756888	+	0.364498i
$334$	4.76597	−	5.97634i	0.260782	−	0.327011i
$335$	−7.68453	−	3.70067i	−0.419851	−	0.202189i
$336$	1.29732	+	1.62679i	0.0707745	+	0.0887484i
$337$	−27.5942			−1.50315			−0.751576	−	0.659647i	$-0.770706\pi$
$337$	−27.5942			−1.50315			−0.751576	+	0.659647i	$0.770706\pi$
$338$	12.9913			0.706633
$339$	1.76177	+	2.20919i	0.0956863	+	0.119987i
$340$	−1.69284	+	0.815227i	−0.0918070	+	0.0442119i
$341$	2.48394	−	10.8829i	0.134513	−	0.589340i
$342$	−4.68235	−	20.5147i	−0.253192	−	1.10931i
$343$	−17.5621			−0.948265
$344$	5.04425	−	4.18993i	0.271968	−	0.225906i
$345$	4.60244			0.247787
$346$	3.06625	+	13.4341i	0.164843	+	0.722223i
$347$	0.384522	−	1.68470i	0.0206422	−	0.0904396i	−0.963558	−	0.267501i	$-0.913802\pi$
$347$	0.384522	−	1.68470i	0.0206422	−	0.0904396i	0.984200	+	0.177062i	$0.0566592\pi$
$348$	0.406326	−	0.195676i	0.0217814	−	0.0104894i
$349$	−10.9723	−	13.7589i	−0.587335	−	0.736495i	0.396009	−	0.918247i	$-0.370395\pi$
$349$	−10.9723	−	13.7589i	−0.587335	−	0.736495i	−0.983345	+	0.181751i	$0.941823\pi$
$350$	−2.76599			−0.147848
$351$	−0.381397			−0.0203575
$352$	1.97616	+	2.47802i	0.105329	+	0.132079i
$353$	15.5222	+	7.47511i	0.826165	+	0.397860i	0.798675	−	0.601762i	$-0.205534\pi$
$353$	15.5222	+	7.47511i	0.826165	+	0.397860i	0.0274893	+	0.999622i	$0.491249\pi$
$354$	−6.16796	+	7.73437i	−0.327823	+	0.411077i
$355$	−4.84618	−	2.33380i	−0.257209	−	0.123865i
$356$	−1.11904	−	4.90284i	−0.0593091	−	0.259850i
$357$	−2.43754	−	3.05658i	−0.129008	−	0.161771i
$358$	1.64383	+	7.20208i	0.0868790	+	0.380642i
$359$	3.06162	−	1.47440i	0.161586	−	0.0778157i	−0.351343	−	0.936247i	$-0.614275\pi$
$359$	3.06162	−	1.47440i	0.161586	−	0.0778157i	0.512929	+	0.858431i	$0.328561\pi$
$360$	−1.51764	+	1.90306i	−0.0799867	+	0.100300i
$361$	34.7483	−	43.5730i	1.82886	−	2.29331i
$362$	−2.23170	+	9.77772i	−0.117296	+	0.513905i
$363$	0.646736	−	0.311452i	0.0339448	−	0.0163470i
$364$	−0.232510	−	0.111971i	−0.0121869	−	0.00586888i
$365$	−2.91727	+	12.7814i	−0.152697	+	0.669009i
$366$	0.961013	−	4.21047i	0.0502330	−	0.220085i
$367$	2.79544	+	1.34621i	0.145921	+	0.0702718i	0.505419	−	0.862874i	$-0.331338\pi$
$367$	2.79544	+	1.34621i	0.145921	+	0.0702718i	−0.359498	+	0.933146i	$0.617052\pi$
$368$	5.51227	−	2.65457i	0.287347	−	0.138379i
$369$	6.42395	−	28.1452i	0.334418	−	1.46518i
$370$	3.92675	−	4.92399i	0.204142	−	0.255986i
$371$	−17.2848	+	21.6744i	−0.897381	+	1.12528i
$372$	−2.38702	+	1.14953i	−0.123761	+	0.0596002i
$373$	−6.36769	−	27.8987i	−0.329706	−	1.44454i	−0.819691	−	0.572807i	$-0.805855\pi$
$373$	−6.36769	−	27.8987i	−0.329706	−	1.44454i	0.489984	−	0.871731i	$-0.337003\pi$
$374$	−3.71301	−	4.65597i	−0.191995	−	0.240754i
$375$	0.167393	+	0.733397i	0.00864415	+	0.0378725i
$376$	−10.4152	−	5.01571i	−0.537124	−	0.258665i
$377$	−0.0348747	+	0.0437314i	−0.00179614	+	0.00225228i
$378$	−10.1872	−	4.90590i	−0.523973	−	0.252332i
$379$	−10.2262	−	12.8233i	−0.525287	−	0.658689i	0.446435	−	0.894816i	$-0.352693\pi$
$379$	−10.2262	−	12.8233i	−0.525287	−	0.658689i	−0.971722	+	0.236127i	$0.924122\pi$
$380$	−8.64476			−0.443467
$381$	0.182988			0.00937474
$382$	6.00402	+	7.52881i	0.307192	+	0.385207i
$383$	31.2359	−	15.0424i	1.59608	−	0.768631i	0.596652	−	0.802500i	$-0.296497\pi$
$383$	31.2359	−	15.0424i	1.59608	−	0.768631i	0.999426	+	0.0338696i	$0.0107831\pi$
$384$	0.167393	−	0.733397i	0.00854225	−	0.0374260i
$385$	−1.95080	−	8.54702i	−0.0994220	−	0.435596i
$386$	−16.8058			−0.855392
$387$	−6.63725	+	14.5161i	−0.337390	+	0.737894i
$388$	−1.66836			−0.0846979
$389$	5.53653	+	24.2571i	0.280713	+	1.22988i	0.896882	+	0.442270i	$0.145827\pi$
$389$	5.53653	+	24.2571i	0.280713	+	1.22988i	−0.616169	+	0.787614i	$0.711316\pi$
$390$	−0.0156178	+	0.0684261i	−0.000790839	+	0.00346489i
$391$	−10.3571	+	4.98769i	−0.523779	+	0.252238i
$392$	−0.405698	−	0.508729i	−0.0204908	−	0.0256947i
$393$	7.64727			0.385754
$394$	−11.1906			−0.563776
$395$	10.9633	+	13.7476i	0.551624	+	0.691715i
$396$	−6.95090	−	3.34738i	−0.349296	−	0.168212i
$397$	−2.24538	+	2.81561i	−0.112692	+	0.141312i	−0.834978	−	0.550283i	$-0.814520\pi$
$397$	−2.24538	+	2.81561i	−0.112692	+	0.141312i	0.722286	+	0.691594i	$0.243091\pi$
$398$	−17.3363	−	8.34873i	−0.868991	−	0.418484i
$399$	−4.00259	−	17.5365i	−0.200380	−	0.877923i
$400$	0.623490	+	0.781831i	0.0311745	+	0.0390916i
$401$	−6.93589	−	30.3881i	−0.346362	−	1.51751i	−0.785370	−	0.619026i	$-0.787527\pi$
$401$	−6.93589	−	30.3881i	−0.346362	−	1.51751i	0.439009	−	0.898483i	$-0.355330\pi$
$402$	−5.78075	+	2.78386i	−0.288318	+	0.138846i
$403$	0.204876	−	0.256906i	0.0102056	−	0.0127974i
$404$	4.22206	−	5.29430i	0.210055	−	0.263401i
$405$	0.940641	−	4.12122i	0.0467408	−	0.204785i
$406$	−1.49403	+	0.719485i	−0.0741473	+	0.0357074i
$407$	17.9848	+	8.66103i	0.891474	+	0.429311i
$408$	−0.314516	+	1.37799i	−0.0155709	+	0.0682205i
$409$	3.84925	−	16.8647i	0.190333	−	0.833903i	−0.786103	−	0.618096i	$-0.787904\pi$
$409$	3.84925	−	16.8647i	0.190333	−	0.833903i	0.976436	−	0.215808i	$-0.0692384\pi$
$410$	−10.6857	−	5.14594i	−0.527727	−	0.254140i
$411$	4.31505	−	2.07802i	0.212846	−	0.102501i
$412$	−2.93680	+	12.8670i	−0.144686	+	0.633909i
$413$	22.6790	−	28.4386i	1.11596	−	1.39937i
$414$	−9.28518	+	11.6432i	−0.456342	+	0.572234i
$415$	1.22445	−	0.589662i	0.0601056	−	0.0289454i
$416$	0.0207612	+	0.0909609i	0.00101790	+	0.00445973i
$417$	0.283471	+	0.355461i	0.0138816	+	0.0174070i
$418$	−6.09699	−	26.7127i	−0.298214	−	1.30656i
$419$	6.85055	+	3.29905i	0.334671	+	0.161169i	0.593670	−	0.804708i	$-0.297678\pi$
$419$	6.85055	+	3.29905i	0.334671	+	0.161169i	−0.258999	+	0.965878i	$0.583393\pi$
$420$	−1.29732	+	1.62679i	−0.0633026	+	0.0793790i
$421$	10.5038	+	5.05836i	0.511924	+	0.246530i	0.671968	−	0.740580i	$-0.265449\pi$
$421$	10.5038	+	5.05836i	0.511924	+	0.246530i	−0.160044	+	0.987110i	$0.551164\pi$
$422$	−1.88719	−	2.36646i	−0.0918669	−	0.115198i
$423$	28.1383			1.36813
$424$	10.0227			0.486745
$425$	−1.17148	−	1.46899i	−0.0568251	−	0.0712564i
$426$	−3.64558	+	1.75562i	−0.176629	+	0.0850600i
$427$	−3.53356	+	15.4815i	−0.171001	+	0.749204i
$428$	3.70286	+	16.2233i	0.178985	+	0.784183i
$429$	−0.222454			−0.0107402
$430$	5.20733	+	3.98543i	0.251120	+	0.192195i
$431$	−25.0473			−1.20649			−0.603244	−	0.797557i	$-0.706125\pi$
$431$	−25.0473			−1.20649			−0.603244	+	0.797557i	$0.706125\pi$
$432$	0.909633	+	3.98536i	0.0437647	+	0.191746i
$433$	1.76615	−	7.73800i	0.0848757	−	0.371865i	−0.914596	−	0.404369i	$-0.867491\pi$
$433$	1.76615	−	7.73800i	0.0848757	−	0.371865i	0.999472	+	0.0325044i	$0.0103483\pi$
$434$	8.77685	−	4.22671i	0.421302	−	0.202889i
$435$	0.281186	+	0.352597i	0.0134819	+	0.0169057i
$436$	18.9206			0.906133
$437$	−52.8901			−2.53007
$438$	6.14897	+	7.71056i	0.293809	+	0.368425i
$439$	18.6048	+	8.95961i	0.887959	+	0.427619i	0.821525	−	0.570172i	$-0.193124\pi$
$439$	18.6048	+	8.95961i	0.887959	+	0.427619i	0.0664340	+	0.997791i	$0.478838\pi$
$440$	−1.97616	+	2.47802i	−0.0942095	+	0.118135i
$441$	1.42700	+	0.687205i	0.0679522	+	0.0327241i
$442$	−0.0390084	−	0.170907i	−0.00185544	−	0.00812923i
$443$	−16.1929	−	20.3053i	−0.769348	−	0.964732i	0.230617	−	0.973045i	$-0.425926\pi$
$443$	−16.1929	−	20.3053i	−0.769348	−	0.964732i	−0.999965	+	0.00831214i	$0.997354\pi$
$444$	−1.05425	−	4.61895i	−0.0500323	−	0.219206i
$445$	4.53091	−	2.18197i	0.214786	−	0.103435i
$446$	2.71320	−	3.40224i	0.128474	−	0.161101i
$447$	1.10180	−	1.38161i	0.0521134	−	0.0653481i
$448$	−0.615490	+	2.69664i	−0.0290792	+	0.127404i
$449$	−9.40825	+	4.53077i	−0.444003	+	0.213820i	−0.642507	−	0.766279i	$-0.722106\pi$
$449$	−9.40825	+	4.53077i	−0.444003	+	0.213820i	0.198505	+	0.980100i	$0.436392\pi$
$450$	−2.19306	−	1.05612i	−0.103382	−	0.0497860i
$451$	8.36477	−	36.6485i	0.393882	−	1.72571i
$452$	−0.835842	+	3.66206i	−0.0393147	+	0.172249i
$453$	5.34378	+	2.57343i	0.251073	+	0.120910i
$454$	−13.6227	+	6.56033i	−0.639343	+	0.307892i
$455$	0.0574253	−	0.251597i	0.00269214	−	0.0117950i
$456$	−4.05461	+	5.08432i	−0.189875	+	0.238095i
$457$	−13.8868	+	17.4135i	−0.649597	+	0.814569i	−0.992166	−	0.124924i	$-0.960131\pi$
$457$	−13.8868	+	17.4135i	−0.649597	+	0.814569i	0.342569	+	0.939493i	$0.388703\pi$
$458$	9.81061	−	4.72454i	0.458420	−	0.220763i
$459$	−1.70912	−	7.48812i	−0.0797747	−	0.349516i
$460$	3.81461	+	4.78337i	0.177857	+	0.223026i
$461$	0.495121	+	2.16927i	0.0230601	+	0.101033i	0.985148	−	0.171706i	$-0.0549278\pi$
$461$	0.495121	+	2.16927i	0.0230601	+	0.101033i	−0.962088	+	0.272738i	$0.912071\pi$
$462$	−5.94181	−	2.86142i	−0.276438	−	0.133126i
$463$	−22.8233	+	28.6195i	−1.06069	+	1.33006i	−0.119251	+	0.992864i	$0.538049\pi$
$463$	−22.8233	+	28.6195i	−1.06069	+	1.33006i	−0.941435	+	0.337195i	$0.890522\pi$
$464$	0.540142	+	0.260119i	0.0250755	+	0.0120757i
$465$	−1.65187	−	2.07137i	−0.0766035	−	0.0960577i
$466$	16.1168			0.746597
$467$	−41.1668			−1.90497			−0.952486	−	0.304581i	$-0.901484\pi$
$467$	−41.1668			−1.90497			−0.952486	+	0.304581i	$0.901484\pi$
$468$	−0.141596	−	0.177556i	−0.00654529	−	0.00820753i
$469$	21.2553	−	10.2360i	0.981479	−	0.472656i
$470$	2.57235	−	11.2702i	0.118654	−	0.519855i
$471$	−1.96088	−	8.59116i	−0.0903524	−	0.395860i
$472$	−13.1506			−0.605305
$473$	−8.64251	+	18.9017i	−0.397383	+	0.869102i
$474$	13.2275			0.607561
$475$	−1.92364	−	8.42802i	−0.0882627	−	0.386704i
$476$	1.15645	−	5.06673i	0.0530057	−	0.232233i
$477$	−21.9803	+	10.5852i	−1.00641	+	0.484661i
$478$	3.57454	+	4.48233i	0.163496	+	0.205017i
$479$	17.0985			0.781250			0.390625	−	0.920550i	$-0.372259\pi$
$479$	17.0985			0.781250			0.390625	+	0.920550i	$0.372259\pi$
$480$	0.752258			0.0343357
$481$	0.366367	+	0.459409i	0.0167049	+	0.0209473i
$482$	−15.1394	−	7.29075i	−0.689581	−	0.332085i
$483$	−7.93720	+	9.95294i	−0.361155	+	0.452874i
$484$	0.859726	+	0.414022i	0.0390785	+	0.0188192i
$485$	−0.371244	−	1.62653i	−0.0168573	−	0.0738568i
$486$	−9.62887	−	12.0742i	−0.436774	−	0.547698i
$487$	6.77817	+	29.6971i	0.307148	+	1.34570i	0.859092	+	0.511822i	$0.171029\pi$
$487$	6.77817	+	29.6971i	0.307148	+	1.34570i	−0.551944	+	0.833881i	$0.686114\pi$
$488$	5.17251	−	2.49095i	0.234149	−	0.112760i
$489$	−0.682679	+	0.856052i	−0.0308718	+	0.0387120i
$490$	0.405698	−	0.508729i	0.0183276	−	0.0229820i
$491$	−2.41375	+	10.5753i	−0.108931	+	0.477258i	0.890807	+	0.454381i	$0.150140\pi$
$491$	−2.41375	+	10.5753i	−0.108931	+	0.477258i	−0.999738	+	0.0228764i	$0.992718\pi$
$492$	−8.03837	+	3.87108i	−0.362398	+	0.174522i
$493$	−1.01488	−	0.488739i	−0.0457077	−	0.0220117i
$494$	0.179476	−	0.786336i	0.00807501	−	0.0353789i
$495$	1.71673	−	7.52149i	0.0771614	−	0.338066i
$496$	−3.17313	−	1.52810i	−0.142478	−	0.0686138i
$497$	13.4045	−	6.45526i	0.601273	−	0.289558i
$498$	0.227493	−	0.996710i	0.0101942	−	0.0446637i
$499$	25.0068	−	31.3575i	1.11946	−	1.40376i	0.215305	−	0.976547i	$-0.430925\pi$
$499$	25.0068	−	31.3575i	1.11946	−	1.40376i	0.904153	−	0.427209i	$-0.140503\pi$
$500$	−0.623490	+	0.781831i	−0.0278833	+	0.0349646i
$501$	5.18083	−	2.49495i	0.231462	−	0.111466i
$502$	−3.81729	−	16.7247i	−0.170374	−	0.746458i
$503$	6.23089	+	7.81328i	0.277821	+	0.348377i	0.901091	−	0.433630i	$-0.142767\pi$
$503$	6.23089	+	7.81328i	0.277821	+	0.348377i	−0.623270	+	0.782007i	$0.714196\pi$
$504$	−1.49817	−	6.56391i	−0.0667338	−	0.292380i
$505$	6.10105	+	2.93811i	0.271493	+	0.130744i
$506$	−12.0904	+	15.1609i	−0.537486	+	0.673986i
$507$	8.80499	+	4.24026i	0.391044	+	0.188317i
$508$	0.151665	+	0.190181i	0.00672903	+	0.00843793i
$509$	−32.4162			−1.43682			−0.718411	−	0.695619i	$-0.755130\pi$
$509$	−32.4162			−1.43682			−0.718411	+	0.695619i	$0.755130\pi$
$510$	−1.41342			−0.0625874
$511$	−22.6092	−	28.3511i	−1.00017	−	1.25418i
$512$	0.900969	−	0.433884i	0.0398176	−	0.0191751i
$513$	7.86356	−	34.4525i	0.347185	−	1.52111i
$514$	−0.735483	−	3.22236i	−0.0324408	−	0.142132i
$515$	−13.1978			−0.581567
$516$	4.78636	−	1.19337i	0.210708	−	0.0525351i
$517$	36.6396			1.61141
$518$	3.87637	+	16.9835i	0.170318	+	0.746212i
$519$	−2.30661	+	10.1059i	−0.101249	+	0.443601i
$520$	−0.0840606	+	0.0404814i	−0.00368630	+	0.00177523i
$521$	22.4845	+	28.1947i	0.985066	+	1.23523i	0.971918	+	0.235320i	$0.0756137\pi$
$521$	22.4845	+	28.1947i	0.985066	+	1.23523i	0.0131475	+	0.999914i	$0.495815\pi$
$522$	−1.45928			−0.0638709
$523$	12.9924			0.568117			0.284059	−	0.958807i	$-0.408319\pi$
$523$	12.9924			0.568117			0.284059	+	0.958807i	$0.408319\pi$
$524$	6.33824	+	7.94790i	0.276887	+	0.347206i
$525$	−1.87468	−	0.902798i	−0.0818177	−	0.0394013i
$526$	−9.06328	+	11.3650i	−0.395178	+	0.495537i
$527$	5.96202	+	2.87116i	0.259710	+	0.125070i
$528$	0.530554	+	2.32451i	0.0230894	+	0.101161i
$529$	8.99815	+	11.2833i	0.391224	+	0.490579i
$530$	2.23026	+	9.77140i	0.0968762	+	0.424443i
$531$	28.8400	−	13.8886i	1.25155	−	0.602714i
$532$	14.9085	−	18.6946i	0.646364	−	0.810514i
$533$	0.689927	−	0.865142i	0.0298841	−	0.0374734i
$534$	0.841808	−	3.68820i	0.0364286	−	0.159604i
$535$	−14.9926	+	7.22005i	−0.648186	+	0.312150i
$536$	−7.68453	−	3.70067i	−0.331921	−	0.159845i
$537$	−1.23658	+	5.41782i	−0.0533625	+	0.233796i
$538$	2.45035	−	10.7357i	0.105642	−	0.462848i
$539$	1.85812	+	0.894826i	0.0800351	+	0.0385429i
$540$	−3.68303	+	1.77365i	−0.158492	+	0.0763258i
$541$	7.13569	−	31.2635i	0.306787	−	1.34412i	−0.552876	−	0.833263i	$-0.686470\pi$
$541$	7.13569	−	31.2635i	0.306787	−	1.34412i	0.859664	−	0.510860i	$-0.170673\pi$
$542$	−14.5176	+	18.2045i	−0.623583	+	0.781949i
$543$	−4.70393	+	5.89855i	−0.201865	+	0.253131i
$544$	−1.69284	+	0.815227i	−0.0725798	+	0.0349526i
$545$	4.21023	+	18.4462i	0.180347	+	0.790150i
$546$	−0.121040	−	0.151779i	−0.00518003	−	0.00649556i
$547$	−0.319510	−	1.39986i	−0.0136613	−	0.0598539i	0.967638	−	0.252343i	$-0.0812011\pi$
$547$	−0.319510	−	1.39986i	−0.0136613	−	0.0598539i	−0.981299	+	0.192489i	$0.938344\pi$
$548$	5.73613	+	2.76237i	0.245035	+	0.118003i
$549$	−8.71286	+	10.9256i	−0.371856	+	0.466292i
$550$	−2.85563	−	1.37520i	−0.121764	−	0.0586386i
$551$	−3.23132	−	4.05195i	−0.137659	−	0.172619i
$552$	4.60244			0.195893
$553$	−48.6365			−2.06824
$554$	−6.94323	−	8.70653i	−0.294990	−	0.369905i
$555$	4.26856	−	2.05563i	0.181190	−	0.0872566i
$556$	−0.134488	+	0.589230i	−0.00570356	+	0.0249889i
$557$	3.35419	+	14.6957i	0.142122	+	0.622676i	0.994940	+	0.100469i	$0.0320342\pi$
$557$	3.35419	+	14.6957i	0.142122	+	0.622676i	−0.852818	+	0.522207i	$0.825109\pi$
$558$	8.57272			0.362912
$559$	−0.470629	+	0.390921i	−0.0199055	+	0.0165342i
$560$	−2.76599			−0.116884
$561$	−0.996861	−	4.36754i	−0.0420875	−	0.184397i
$562$	−2.58822	+	11.3397i	−0.109178	+	0.478338i
$563$	27.0731	−	13.0377i	1.14100	−	0.549475i	0.234679	−	0.972073i	$-0.424596\pi$
$563$	27.0731	−	13.0377i	1.14100	−	0.549475i	0.906317	+	0.422598i	$0.138882\pi$
$564$	−5.42194	−	6.79890i	−0.228305	−	0.286285i
$565$	−3.75624			−0.158026
$566$	−6.04794			−0.254214
$567$	7.29009	+	9.14148i	0.306155	+	0.383906i
$568$	−4.84618	−	2.33380i	−0.203341	−	0.0979240i
$569$	11.3341	−	14.2125i	0.475149	−	0.595818i	−0.485275	−	0.874362i	$-0.661280\pi$
$569$	11.3341	−	14.2125i	0.475149	−	0.595818i	0.960423	+	0.278544i	$0.0898518\pi$
$570$	−5.85908	−	2.82159i	−0.245410	−	0.118183i
$571$	1.69032	+	7.40579i	0.0707379	+	0.309923i	0.997903	−	0.0647306i	$-0.0206188\pi$
$571$	1.69032	+	7.40579i	0.0707379	+	0.309923i	−0.927165	+	0.374654i	$0.877762\pi$
$572$	−0.184376	−	0.231200i	−0.00770913	−	0.00966695i
$573$	1.61195	+	7.06240i	0.0673400	+	0.295036i
$574$	29.5564	−	14.2336i	1.23366	−	0.594100i
$575$	−3.81461	+	4.78337i	−0.159080	+	0.199480i
$576$	−1.51764	+	1.90306i	−0.0632351	+	0.0792943i
$577$	0.597247	−	2.61671i	0.0248637	−	0.108935i	−0.960973	−	0.276641i	$-0.910779\pi$
$577$	0.597247	−	2.61671i	0.0248637	−	0.108935i	0.985837	+	0.167706i	$0.0536359\pi$
$578$	−12.1358	+	5.84429i	−0.504782	+	0.243090i
$579$	−11.3903	−	5.48528i	−0.473365	−	0.227961i
$580$	−0.133404	+	0.584481i	−0.00553930	+	0.0242693i
$581$	−0.836471	+	3.66482i	−0.0347026	+	0.152042i
$582$	−1.13075	−	0.544539i	−0.0468709	−	0.0225719i
$583$	−28.6211	+	13.7832i	−1.18536	+	0.570841i
$584$	−2.91727	+	12.7814i	−0.120718	+	0.528898i
$585$	0.141596	−	0.177556i	0.00585428	−	0.00734104i
$586$	4.78269	−	5.99731i	0.197571	−	0.247746i
$587$	−3.01537	+	1.45212i	−0.124458	+	0.0599356i	−0.495076	−	0.868849i	$-0.664860\pi$
$587$	−3.01537	+	1.45212i	−0.124458	+	0.0599356i	0.370619	+	0.928785i	$0.379146\pi$
$588$	−0.108921	−	0.477213i	−0.00449182	−	0.0196800i
$589$	18.9828	+	23.8037i	0.782174	+	0.980815i
$590$	−2.92628	−	12.8209i	−0.120473	−	0.527827i
$591$	−7.58458	−	3.65254i	−0.311988	−	0.150245i
$592$	3.92675	−	4.92399i	0.161389	−	0.202375i
$593$	19.3915	+	9.33846i	0.796314	+	0.383485i	0.787374	−	0.616476i	$-0.211440\pi$
$593$	19.3915	+	9.33846i	0.796314	+	0.383485i	0.00893973	+	0.999960i	$0.497154\pi$
$594$	−8.07823	−	10.1298i	−0.331454	−	0.415630i
$595$	5.19703			0.213058
$596$	2.34913			0.0962240
$597$	−9.02492	−	11.3169i	−0.369365	−	0.463169i
$598$	−0.514296	+	0.247672i	−0.0210311	+	0.0101281i
$599$	−9.76879	+	42.7999i	−0.399142	+	1.74876i	0.231645	+	0.972800i	$0.425589\pi$
$599$	−9.76879	+	42.7999i	−0.399142	+	1.74876i	−0.630788	+	0.775956i	$0.717268\pi$
$600$	0.167393	+	0.733397i	0.00683380	+	0.0299408i
$601$	−1.72221			−0.0702505			−0.0351252	−	0.999383i	$-0.511183\pi$
$601$	−1.72221			−0.0702505			−0.0351252	+	0.999383i	$0.511183\pi$
$602$	−17.5990	+	4.38791i	−0.717283	+	0.178838i
$603$	20.7610			0.845452
$604$	1.75446	+	7.68678i	0.0713879	+	0.312771i
$605$	−0.212335	+	0.930300i	−0.00863264	+	0.0378221i
$606$	4.58957	−	2.21022i	0.186438	−	0.0897840i
$607$	9.08289	+	11.3896i	0.368663	+	0.462289i	0.931213	−	0.364474i	$-0.118751\pi$
$607$	9.08289	+	11.3896i	0.368663	+	0.462289i	−0.562551	+	0.826763i	$0.690180\pi$
$608$	−8.64476			−0.350591
$609$	−1.24743			−0.0505483
$610$	3.57949	+	4.48854i	0.144929	+	0.181735i
$611$	0.971742	+	0.467966i	0.0393125	+	0.0189319i
$612$	2.85151	−	3.57568i	0.115265	−	0.144538i
$613$	3.83132	+	1.84507i	0.154745	+	0.0745215i	0.509654	−	0.860380i	$-0.329774\pi$
$613$	3.83132	+	1.84507i	0.154745	+	0.0745215i	−0.354908	+	0.934901i	$0.615488\pi$
$614$	7.42230	+	32.5192i	0.299540	+	1.31237i
$615$	−5.56273	−	6.97544i	−0.224311	−	0.281277i
$616$	−1.95080	−	8.54702i	−0.0786000	−	0.344369i
$617$	−12.1990	+	5.87471i	−0.491111	+	0.236507i	−0.663014	−	0.748607i	$-0.730723\pi$
$617$	−12.1990	+	5.87471i	−0.491111	+	0.236507i	0.171902	+	0.985114i	$0.445009\pi$
$618$	−6.19012	+	7.76217i	−0.249003	+	0.312240i
$619$	−0.289711	+	0.363286i	−0.0116445	+	0.0146017i	−0.787620	−	0.616162i	$-0.788687\pi$
$619$	−0.289711	+	0.363286i	−0.0116445	+	0.0146017i	0.775975	+	0.630763i	$0.217258\pi$
$620$	0.783699	−	3.43361i	0.0314741	−	0.137897i
$621$	−22.5334	+	10.8515i	−0.904232	+	0.435455i
$622$	0.883207	+	0.425330i	0.0354134	+	0.0170542i
$623$	−3.09526	+	13.5612i	−0.124009	+	0.543318i
$624$	−0.0156178	+	0.0684261i	−0.000625213	+	0.00273924i
$625$	−0.900969	−	0.433884i	−0.0360388	−	0.0173553i
$626$	−7.27723	+	3.50453i	−0.290857	+	0.140069i
$627$	4.58651	−	20.0948i	0.183168	−	0.802510i
$628$	7.30368	−	9.15853i	0.291449	−	0.365465i
$629$	−7.37801	+	9.25173i	−0.294180	+	0.368890i
$630$	6.06596	−	2.92121i	0.241674	−	0.116384i
$631$	−0.266073	−	1.16574i	−0.0105922	−	0.0464075i	0.969356	−	0.245662i	$-0.0790052\pi$
$631$	−0.266073	−	1.16574i	−0.0105922	−	0.0464075i	−0.979948	+	0.199254i	$0.936148\pi$
$632$	10.9633	+	13.7476i	0.436097	+	0.546848i
$633$	−0.506668	−	2.21986i	−0.0201383	−	0.0882315i
$634$	−2.48058	−	1.19458i	−0.0985163	−	0.0474430i
$635$	−0.151665	+	0.190181i	−0.00601862	+	0.00754712i
$636$	6.79299	+	3.27133i	0.269360	+	0.129717i
$637$	0.0378517	+	0.0474645i	0.00149974	+	0.00188061i
$638$	−1.90016			−0.0752280
$639$	13.0927			0.517940
$640$	0.623490	+	0.781831i	0.0246456	+	0.0309046i
$641$	−21.3068	+	10.2608i	−0.841566	+	0.405277i	−0.804440	−	0.594034i	$-0.797535\pi$
$641$	−21.3068	+	10.2608i	−0.841566	+	0.405277i	−0.0371260	+	0.999311i	$0.511820\pi$
$642$	−2.78551	+	12.2041i	−0.109935	+	0.481658i
$643$	3.74239	+	16.3965i	0.147586	+	0.646615i	0.993552	+	0.113378i	$0.0361672\pi$
$643$	3.74239	+	16.3965i	0.147586	+	0.646615i	−0.845966	+	0.533236i	$0.820976\pi$
$644$	−16.9228			−0.666850
$645$	2.22851	+	4.40081i	0.0877476	+	0.173282i
$646$	16.2427			0.639061
$647$	7.02103	+	30.7612i	0.276025	+	1.20935i	0.902771	+	0.430122i	$0.141529\pi$
$647$	7.02103	+	30.7612i	0.276025	+	1.20935i	−0.626746	+	0.779224i	$0.715613\pi$
$648$	0.940641	−	4.12122i	0.0369519	−	0.161897i
$649$	37.5532	−	18.0847i	1.47409	−	0.709885i
$650$	−0.0581717	−	0.0729450i	−0.00228168	−	0.00286114i
$651$	7.32817			0.287214
$652$	−1.45553			−0.0570028
$653$	−1.03540	−	1.29835i	−0.0405184	−	0.0508085i	0.761159	−	0.648565i	$-0.224630\pi$
$653$	−1.03540	−	1.29835i	−0.0405184	−	0.0508085i	−0.801678	+	0.597756i	$0.796059\pi$
$654$	12.8237	+	6.17555i	0.501445	+	0.241483i
$655$	−6.33824	+	7.94790i	−0.247656	+	0.310550i
$656$	−10.6857	−	5.14594i	−0.417205	−	0.200915i
$657$	−7.10095	−	31.1113i	−0.277035	−	1.21377i
$658$	19.9360	+	24.9990i	0.777187	+	0.974562i
$659$	7.06457	+	30.9519i	0.275197	+	1.20571i	0.903788	+	0.427980i	$0.140774\pi$
$659$	7.06457	+	30.9519i	0.275197	+	1.20571i	−0.628592	+	0.777735i	$0.716368\pi$
$660$	−2.14817	+	1.03450i	−0.0836174	+	0.0402680i
$661$	−23.0509	+	28.9049i	−0.896577	+	1.12427i	0.0950936	+	0.995468i	$0.469685\pi$
$661$	−23.0509	+	28.9049i	−0.896577	+	1.12427i	−0.991670	+	0.128803i	$0.958886\pi$
$662$	−6.41055	+	8.03857i	−0.249153	+	0.312428i
$663$	0.0293444	−	0.128566i	0.00113964	−	0.00499310i
$664$	1.22445	−	0.589662i	0.0475177	−	0.0228833i
$665$	21.5433	+	10.3747i	0.835415	+	0.402315i
$666$	−3.41126	+	14.9457i	−0.132184	+	0.579135i
$667$	−0.816188	+	3.57595i	−0.0316029	+	0.138461i
$668$	6.88703	+	3.31662i	0.266467	+	0.128324i
$669$	2.94937	−	1.42034i	0.114029	−	0.0549135i
$670$	1.89792	−	8.31534i	0.0733231	−	0.321250i
$671$	−11.3452	+	14.2264i	−0.437977	+	0.549206i
$672$	−1.29732	+	1.62679i	−0.0500451	+	0.0627546i
$673$	26.6748	−	12.8459i	1.02824	−	0.495173i	0.157810	−	0.987470i	$-0.449557\pi$
$673$	26.6748	−	12.8459i	1.02824	−	0.495173i	0.870427	+	0.492297i	$0.163842\pi$
$674$	−6.14029	−	26.9024i	−0.236515	−	1.03624i
$675$	−2.54873	−	3.19601i	−0.0981008	−	0.123015i
$676$	2.89084	+	12.6656i	0.111186	+	0.487138i
$677$	19.6591	+	9.46731i	0.755559	+	0.363858i	0.771679	−	0.636012i	$-0.219417\pi$
$677$	19.6591	+	9.46731i	0.755559	+	0.363858i	−0.0161198	+	0.999870i	$0.505131\pi$
$678$	−1.76177	+	2.20919i	−0.0676604	+	0.0848435i
$679$	4.15766	+	2.00222i	0.159556	+	0.0768382i
$680$	−1.17148	−	1.46899i	−0.0449242	−	0.0563331i
$681$	−11.3742			−0.435859
$682$	11.1627			0.427443
$683$	−3.48496	−	4.37001i	−0.133348	−	0.167214i	0.710674	−	0.703521i	$-0.248390\pi$
$683$	−3.48496	−	4.37001i	−0.133348	−	0.167214i	−0.844022	+	0.536308i	$0.819819\pi$
$684$	18.9584	−	9.12990i	0.724894	−	0.349091i
$685$	−1.41671	+	6.20700i	−0.0541296	+	0.237157i
$686$	−3.90794	−	17.1218i	−0.149206	−	0.653713i
$687$	8.19130			0.312518
$688$	5.20733	+	3.98543i	0.198528	+	0.151943i
$689$	−0.935119			−0.0356252
$690$	1.02414	+	4.48704i	0.0389883	+	0.170819i
$691$	−4.96676	+	21.7608i	−0.188944	+	0.827819i	0.788230	+	0.615381i	$0.210998\pi$
$691$	−4.96676	+	21.7608i	−0.188944	+	0.827819i	−0.977174	+	0.212439i	$0.931859\pi$
$692$	−12.4150	+	5.97875i	−0.471948	+	0.227278i
$693$	13.3049	+	16.6838i	0.505411	+	0.633765i
$694$	1.72803			0.0655950
$695$	−0.604383			−0.0229256
$696$	0.281186	+	0.352597i	0.0106583	+	0.0133651i
$697$	20.0774	+	9.66875i	0.760484	+	0.366230i
$698$	10.9723	−	13.7589i	0.415309	−	0.520781i
$699$	10.9234	+	5.26041i	0.413159	+	0.198967i
$700$	−0.615490	−	2.69664i	−0.0232633	−	0.101923i
$701$	25.8861	+	32.4602i	0.977705	+	1.22600i	0.974125	+	0.226010i	$0.0725682\pi$
$701$	25.8861	+	32.4602i	0.977705	+	1.22600i	0.00358035	+	0.999994i	$0.498860\pi$
$702$	−0.0848689	−	0.371835i	−0.00320317	−	0.0140340i
$703$	−49.0532	+	23.6228i	−1.85008	+	0.890949i
$704$	−1.97616	+	2.47802i	−0.0744792	+	0.0933939i
$705$	5.42194	−	6.79890i	0.204202	−	0.256061i
$706$	−3.83367	+	16.7964i	−0.144282	+	0.632142i
$707$	−16.8754	+	8.12678i	−0.634666	+	0.305639i
$708$	−8.91295	−	4.29225i	−0.334969	−	0.161313i
$709$	−2.99052	+	13.1023i	−0.112311	+	0.492069i	0.887217	+	0.461353i	$0.152636\pi$
$709$	−2.99052	+	13.1023i	−0.112311	+	0.492069i	−0.999528	+	0.0307158i	$0.990221\pi$
$710$	1.19691	−	5.24400i	0.0449192	−	0.196804i
$711$	−38.5622	−	18.5706i	−1.44620	−	0.696451i
$712$	4.53091	−	2.18197i	0.169803	−	0.0817728i
$713$	4.79480	−	21.0074i	0.179567	−	0.786733i
$714$	2.43754	−	3.05658i	0.0912227	−	0.114390i
$715$	0.184376	−	0.231200i	0.00689526	−	0.00864638i
$716$	−6.65572	+	3.20523i	−0.248736	+	0.119785i
$717$	0.959684	+	4.20465i	0.0358401	+	0.157026i
$718$	2.11870	+	2.65677i	0.0790693	+	0.0991498i
$719$	−5.16553	−	22.6317i	−0.192642	−	0.844019i	−0.975179	−	0.221416i	$-0.928932\pi$
$719$	−5.16553	−	22.6317i	−0.192642	−	0.844019i	0.782538	−	0.622603i	$-0.213925\pi$
$720$	−2.19306	−	1.05612i	−0.0817303	−	0.0393593i
$721$	22.7606	−	28.5408i	0.847647	−	1.06292i
$722$	50.2127	+	24.1812i	1.86872	+	0.899930i
$723$	−7.88125	−	9.88278i	−0.293107	−	0.367545i
$724$	−10.0292			−0.372731
$725$	−0.599512			−0.0222653
$726$	0.447555	+	0.561216i	0.0166103	+	0.0208287i
$727$	−13.5758	+	6.53774i	−0.503497	+	0.242471i	−0.668350	−	0.743847i	$-0.732999\pi$
$727$	−13.5758	+	6.53774i	−0.503497	+	0.242471i	0.164853	+	0.986318i	$0.447285\pi$
$728$	0.0574253	−	0.251597i	0.00212832	−	0.00932480i
$729$	0.236787	+	1.03743i	0.00876989	+	0.0384234i
$730$	−13.1101			−0.485227
$731$	−9.78410	−	7.48826i	−0.361878	−	0.276963i
$732$	4.31875			0.159626
$733$	−2.82656	−	12.3840i	−0.104401	−	0.457413i	−0.999923	−	0.0123948i	$-0.996055\pi$
$733$	−2.82656	−	12.3840i	−0.104401	−	0.457413i	0.895522	−	0.445018i	$-0.146803\pi$
$734$	−0.690417	+	3.02492i	−0.0254838	+	0.111652i
$735$	0.441012	−	0.212380i	0.0162670	−	0.00783375i
$736$	3.81461	+	4.78337i	0.140608	+	0.176317i
$737$	27.0333			0.995785
$738$	28.8690			1.06268
$739$	−23.1526	−	29.0325i	−0.851683	−	1.06798i	−0.996908	−	0.0785782i	$-0.974962\pi$
$739$	−23.1526	−	29.0325i	−0.851683	−	1.06798i	0.145225	−	0.989399i	$-0.453609\pi$
$740$	5.67432	+	2.73261i	0.208592	+	0.100453i
$741$	0.378296	−	0.474368i	0.0138971	−	0.0174264i
$742$	−24.9772	−	12.0284i	−0.916943	−	0.441577i
$743$	−5.80138	−	25.4175i	−0.212832	−	0.932477i	−0.962632	−	0.270813i	$-0.912708\pi$
$743$	−5.80138	−	25.4175i	−0.212832	−	0.932477i	0.749800	−	0.661664i	$-0.230150\pi$
$744$	−1.65187	−	2.07137i	−0.0605604	−	0.0759403i
$745$	0.522730	+	2.29023i	0.0191513	+	0.0839075i
$746$	25.7822	−	12.4161i	0.943955	−	0.454585i
$747$	−2.06252	+	2.58632i	−0.0754637	+	0.0946285i
$748$	3.71301	−	4.65597i	0.135761	−	0.170239i
$749$	10.2421	−	44.8735i	0.374237	−	1.63964i
$750$	−0.677761	+	0.326393i	−0.0247483	+	0.0119182i
$751$	−3.31807	−	1.59790i	−0.121078	−	0.0583081i	0.372364	−	0.928087i	$-0.378547\pi$
$751$	−3.31807	−	1.59790i	−0.121078	−	0.0583081i	−0.493442	+	0.869779i	$0.664262\pi$
$752$	2.57235	−	11.2702i	0.0938039	−	0.410982i
$753$	2.87159	−	12.5813i	0.104647	−	0.458486i
$754$	−0.0503953	−	0.0242691i	−0.00183529	−	0.000883829i
$755$	−7.10366	+	3.42094i	−0.258529	+	0.124501i
$756$	2.51603	−	11.0235i	0.0915072	−	0.400919i
$757$	−2.19972	+	2.75837i	−0.0799503	+	0.100255i	−0.820198	−	0.572080i	$-0.806137\pi$
$757$	−2.19972	+	2.75837i	−0.0799503	+	0.100255i	0.740248	+	0.672334i	$0.234708\pi$
$758$	10.2262	−	12.8233i	0.371434	−	0.465764i
$759$	−13.1428	+	6.32926i	−0.477055	+	0.229738i
$760$	−1.92364	−	8.42802i	−0.0697778	−	0.305716i
$761$	−24.4133	−	30.6133i	−0.884981	−	1.10973i	−0.993294	−	0.115614i	$-0.963117\pi$
$761$	−24.4133	−	30.6133i	−0.884981	−	1.10973i	0.108314	−	0.994117i	$-0.465455\pi$
$762$	0.0407186	+	0.178400i	0.00147508	+	0.00646274i
$763$	−47.1515	−	22.7069i	−1.70700	−	0.822047i
$764$	−6.00402	+	7.52881i	−0.217218	+	0.272383i
$765$	4.12055	+	1.98435i	0.148979	+	0.0717444i
$766$	21.6159	+	27.1055i	0.781014	+	0.979360i
$767$	1.22695			0.0443027
$768$	0.752258			0.0271448
$769$	−2.37169	−	2.97401i	−0.0855255	−	0.107246i	0.737228	−	0.675644i	$-0.236135\pi$
$769$	−2.37169	−	2.97401i	−0.0855255	−	0.107246i	−0.822753	+	0.568399i	$0.807563\pi$
$770$	7.89863	−	3.80378i	0.284647	−	0.137079i
$771$	0.553273	−	2.42405i	0.0199256	−	0.0872999i
$772$	−3.73964	−	16.3844i	−0.134593	−	0.589689i
$773$	−24.5027			−0.881299			−0.440650	−	0.897679i	$-0.645252\pi$
$773$	−24.5027			−0.881299			−0.440650	+	0.897679i	$0.645252\pi$
$774$	−15.6291	−	3.24071i	−0.561775	−	0.116485i
$775$	3.52191			0.126511
$776$	−0.371244	−	1.62653i	−0.0133269	−	0.0583889i
$777$	−2.91603	+	12.7760i	−0.104612	+	0.458335i
$778$	−22.4169	+	10.7954i	−0.803686	+	0.387035i
$779$	63.9255	+	80.1600i	2.29037	+	2.87203i
$780$	−0.0701858			−0.00251306
$781$	17.0483			0.610037
$782$	−7.16730	−	8.98751i	−0.256302	−	0.321393i
$783$	−2.20802	−	1.06333i	−0.0789082	−	0.0380002i
$784$	0.405698	−	0.508729i	0.0144892	−	0.0181689i
$785$	10.5541	+	5.08260i	0.376693	+	0.181406i
$786$	1.70168	+	7.45553i	0.0606968	+	0.265930i
$787$	−8.61711	−	10.8055i	−0.307167	−	0.385175i	0.604157	−	0.796865i	$-0.293510\pi$
$787$	−8.61711	−	10.8055i	−0.307167	−	0.385175i	−0.911324	+	0.411690i	$0.864939\pi$
$788$	−2.49015	−	10.9101i	−0.0887080	−	0.388655i
$789$	−9.85218	+	4.74456i	−0.350747	+	0.168911i
$790$	−10.9633	+	13.7476i	−0.390057	+	0.489116i
$791$	6.47788	−	8.12301i	0.230327	−	0.288821i
$792$	1.71673	−	7.52149i	0.0610014	−	0.267265i
$793$	−0.482596	+	0.232406i	−0.0171375	+	0.00825298i
$794$	−3.24466	−	1.56255i	−0.115149	−	0.0554527i
$795$	−1.67773	+	7.35062i	−0.0595030	+	0.260699i
$796$	4.28172	−	18.7594i	0.151761	−	0.664910i
$797$	−31.9692	−	15.3956i	−1.13241	−	0.545339i	−0.228703	−	0.973496i	$-0.573448\pi$
$797$	−31.9692	−	15.3956i	−1.13241	−	0.545339i	−0.903704	+	0.428158i	$0.859163\pi$
$798$	16.2062	−	7.80447i	0.573692	−	0.276275i
$799$	−4.83320	+	21.1756i	−0.170986	+	0.749140i
$800$	−0.623490	+	0.781831i	−0.0220437	+	0.0276419i
$801$	−7.63211	+	9.57036i	−0.269667	+	0.338152i
$802$	28.0828	−	13.5240i	0.991639	−	0.477548i
$803$	−9.24631	−	40.5108i	−0.326295	−	1.42959i
$804$	−4.00040	−	5.01635i	−0.141083	−	0.176913i
$805$	−3.76567	−	16.4985i	−0.132722	−	0.581495i
$806$	0.296054	+	0.142572i	0.0104281	+	0.00502189i
$807$	5.16480	−	6.47645i	0.181810	−	0.227982i
$808$	6.10105	+	2.93811i	0.214634	+	0.103362i
$809$	0.797511	+	1.00005i	0.0280390	+	0.0351598i	0.795653	−	0.605752i	$-0.207128\pi$
$809$	0.797511	+	1.00005i	0.0280390	+	0.0351598i	−0.767614	+	0.640912i	$0.778556\pi$
$810$	4.22720			0.148529
$811$	−51.3937			−1.80468			−0.902339	−	0.431027i	$-0.858151\pi$
$811$	−51.3937			−1.80468			−0.902339	+	0.431027i	$0.858151\pi$
$812$	−1.03390	−	1.29647i	−0.0362827	−	0.0454971i
$813$	−15.7813	+	7.59985i	−0.553473	+	0.266538i
$814$	−4.44188	+	19.4612i	−0.155688	+	0.682113i
$815$	−0.323885	−	1.41903i	−0.0113452	−	0.0497066i
$816$	−1.41342			−0.0494797
$817$	−25.6095	−	50.5730i	−0.895963	−	1.76932i
$818$	17.2984			0.604823
$819$	0.139779	+	0.612414i	0.00488429	+	0.0213995i
$820$	2.63914	−	11.5628i	0.0921628	−	0.403791i
$821$	18.2449	−	8.78627i	0.636750	−	0.306643i	−0.0875159	−	0.996163i	$-0.527893\pi$
$821$	18.2449	−	8.78627i	0.636750	−	0.306643i	0.724266	+	0.689520i	$0.242179\pi$
$822$	2.98611	+	3.74446i	0.104152	+	0.130603i
$823$	−16.4547			−0.573574			−0.286787	−	0.957994i	$-0.592587\pi$
$823$	−16.4547			−0.573574			−0.286787	+	0.957994i	$0.592587\pi$
$824$	−13.1978			−0.459769
$825$	−1.48658	−	1.86411i	−0.0517560	−	0.0649000i
$826$	32.7722	+	15.7822i	1.14029	+	0.549134i
$827$	−25.5201	+	32.0012i	−0.887421	+	1.11279i	0.105548	+	0.994414i	$0.466340\pi$
$827$	−25.5201	+	32.0012i	−0.887421	+	1.11279i	−0.992969	+	0.118376i	$0.962231\pi$
$828$	−13.4175	−	6.46151i	−0.466289	−	0.224553i
$829$	8.44002	+	36.9781i	0.293134	+	1.28430i	0.880137	+	0.474719i	$0.157450\pi$
$829$	8.44002	+	36.9781i	0.293134	+	1.28430i	−0.587003	+	0.809585i	$0.699692\pi$
$830$	0.847342	+	1.06253i	0.0294117	+	0.0368811i
$831$	−1.86410	−	8.16717i	−0.0646650	−	0.283316i
$832$	−0.0840606	+	0.0404814i	−0.00291428	+	0.00140344i
$833$	−0.762268	+	0.955854i	−0.0264110	+	0.0331184i
$834$	−0.283471	+	0.355461i	−0.00981580	+	0.0123086i
$835$	−1.70096	+	7.45238i	−0.0588640	+	0.257900i
$836$	24.6862	−	11.8883i	0.853791	−	0.411164i
$837$	12.9713	+	6.24665i	0.448354	+	0.215916i
$838$	−1.69195	+	7.41290i	−0.0584473	+	0.256074i
$839$	−0.186546	+	0.817313i	−0.00644030	+	0.0282168i	−0.978046	−	0.208389i	$-0.933178\pi$
$839$	−0.186546	+	0.817313i	−0.00644030	+	0.0282168i	0.971606	+	0.236606i	$0.0760351\pi$
$840$	−1.87468	−	0.902798i	−0.0646826	−	0.0311495i
$841$	25.8043	−	12.4267i	0.889803	−	0.428506i
$842$	−2.59422	+	11.3660i	−0.0894029	+	0.391700i
$843$	−5.45541	+	6.84086i	−0.187894	+	0.235612i
$844$	1.88719	−	2.36646i	0.0649597	−	0.0814569i
$845$	−11.7048	+	5.63671i	−0.402656	+	0.193909i
$846$	6.26137	+	27.4329i	0.215270	+	0.943161i
$847$	−1.64562	−	2.06354i	−0.0565442	−	0.0709042i
$848$	2.23026	+	9.77140i	0.0765874	+	0.335551i
$849$	−4.09906	−	1.97400i	−0.140679	−	0.0677476i
$850$	1.17148	−	1.46899i	0.0401814	−	0.0503859i
$851$	34.7164	+	16.7186i	1.19006	+	0.573105i
$852$	−2.52282	−	3.16352i	−0.0864304	−	0.108380i
$853$	23.6711			0.810482			0.405241	−	0.914210i	$-0.367188\pi$
$853$	23.6711			0.810482			0.405241	+	0.914210i	$0.367188\pi$
$854$	−15.8797			−0.543392
$855$	13.1196	+	16.4515i	0.448683	+	0.562630i
$856$	−14.9926	+	7.22005i	−0.512436	+	0.246776i
$857$	7.18795	−	31.4925i	0.245536	−	1.07576i	−0.690354	−	0.723471i	$-0.742545\pi$
$857$	7.18795	−	31.4925i	0.245536	−	1.07576i	0.935890	−	0.352292i	$-0.114597\pi$
$858$	−0.0495008	−	0.216877i	−0.00168993	−	0.00740406i
$859$	−17.8878			−0.610325			−0.305163	−	0.952300i	$-0.598711\pi$
$859$	−17.8878			−0.610325			−0.305163	+	0.952300i	$0.598711\pi$
$860$	−2.72677	+	5.96362i	−0.0929821	+	0.203358i
$861$	24.6779			0.841022
$862$	−5.57355	−	24.4193i	−0.189836	−	0.831726i
$863$	−10.1411	+	44.4309i	−0.345206	+	1.51244i	0.442712	+	0.896664i	$0.354016\pi$
$863$	−10.1411	+	44.4309i	−0.345206	+	1.51244i	−0.787918	+	0.615780i	$0.788841\pi$
$864$	−3.68303	+	1.77365i	−0.125299	+	0.0603409i
$865$	−8.59145	−	10.7733i	−0.292118	−	0.366304i
$866$	7.93700			0.269710
$867$	−10.1327			−0.344124
$868$	6.07377	+	7.61627i	0.206157	+	0.258513i
$869$	−50.2127	−	24.1812i	−1.70335	−	0.820290i
$870$	−0.281186	+	0.352597i	−0.00953311	+	0.0119541i
$871$	0.716968	+	0.345274i	0.0242935	+	0.0116992i
$872$	4.21023	+	18.4462i	0.142576	+	0.624668i
$873$	2.53197	+	3.17498i	0.0856940	+	0.107457i
$874$	−11.7691	−	51.5640i	−0.398097	−	1.74418i
$875$	2.49207	−	1.20012i	0.0842473	−	0.0405714i
$876$	−6.14897	+	7.71056i	−0.207754	+	0.260516i
$877$	20.7598	−	26.0320i	0.701008	−	0.879037i	−0.296090	−	0.955160i	$-0.595683\pi$
$877$	20.7598	−	26.0320i	0.701008	−	0.879037i	0.997098	+	0.0761233i	$0.0242543\pi$
$878$	−4.59501	+	20.1321i	−0.155074	+	0.679424i
$879$	5.19900	−	2.50371i	0.175358	−	0.0844479i
$880$	−2.85563	−	1.37520i	−0.0962632	−	0.0463579i
$881$	8.65683	−	37.9280i	0.291656	−	1.27783i	−0.590564	−	0.806991i	$-0.701095\pi$
$881$	8.65683	−	37.9280i	0.291656	−	1.27783i	0.882220	−	0.470838i	$-0.156048\pi$
$882$	−0.352439	+	1.54414i	−0.0118672	+	0.0519938i
$883$	−21.0686	−	10.1461i	−0.709016	−	0.341444i	0.0443765	−	0.999015i	$-0.485870\pi$
$883$	−21.0686	−	10.1461i	−0.709016	−	0.341444i	−0.753393	+	0.657571i	$0.771584\pi$
$884$	0.157942	−	0.0760608i	0.00531216	−	0.00255820i
$885$	2.20132	−	9.64460i	0.0739965	−	0.324200i
$886$	16.1929	−	20.3053i	0.544012	−	0.682169i
$887$	19.1126	−	23.9665i	0.641740	−	0.804716i	−0.349480	−	0.936944i	$-0.613642\pi$
$887$	19.1126	−	23.9665i	0.641740	−	0.804716i	0.991219	+	0.132228i	$0.0422130\pi$
$888$	4.26856	−	2.05563i	0.143243	−	0.0689824i
$889$	−0.149719	−	0.655960i	−0.00502140	−	0.0220002i
$890$	3.13549	+	3.93178i	0.105102	+	0.131793i
$891$	2.98137	+	13.0622i	0.0998796	+	0.437601i
$892$	3.92068	+	1.88810i	0.131274	+	0.0632183i
$893$	−62.3076	+	78.1313i	−2.08505	+	2.61456i
$894$	1.59215	+	0.766738i	0.0532494	+	0.0256435i
$895$	−4.60590	−	5.77562i	−0.153958	−	0.193058i
$896$	−2.76599			−0.0924052
$897$	−0.429408			−0.0143375
$898$	−6.51071	−	8.16417i	−0.217265	−	0.272442i
$899$	1.90233	−	0.916115i	0.0634464	−	0.0305542i
$900$	0.541640	−	2.37308i	0.0180547	−	0.0791027i
$901$	−4.19045	−	18.3596i	−0.139604	−	0.611645i
$902$	37.5909			1.25164
$903$	−13.3601	−	2.77024i	−0.444597	−	0.0921878i
$904$	−3.75624			−0.124931
$905$	−2.23170	−	9.77772i	−0.0741842	−	0.325022i
$906$	−1.31981	+	5.78245i	−0.0438476	+	0.192109i
$907$	14.7912	−	7.12307i	0.491134	−	0.236518i	−0.171890	−	0.985116i	$-0.554987\pi$
$907$	14.7912	−	7.12307i	0.491134	−	0.236518i	0.663023	+	0.748599i	$0.269273\pi$
$908$	−9.42718	−	11.8213i	−0.312852	−	0.392304i
$909$	−16.4829			−0.546705
$910$	0.258067			0.00855484
$911$	−16.9327	−	21.2330i	−0.561006	−	0.703479i	0.417738	−	0.908568i	$-0.362823\pi$
$911$	−16.9327	−	21.2330i	−0.561006	−	0.703479i	−0.978743	+	0.205089i	$0.934252\pi$
$912$	−5.85908	−	2.82159i	−0.194014	−	0.0934321i
$913$	−2.68566	+	3.36771i	−0.0888823	+	0.111455i
$914$	−20.0670	−	9.66376i	−0.663757	−	0.319649i
$915$	0.961013	+	4.21047i	0.0317701	+	0.139194i
$916$	6.78915	+	8.51333i	0.224320	+	0.281288i
$917$	−6.25692	−	27.4134i	−0.206622	−	0.905269i
$918$	6.92007	−	3.33253i	0.228396	−	0.109990i
$919$	9.45859	−	11.8607i	0.312010	−	0.391248i	−0.600957	−	0.799281i	$-0.705214\pi$
$919$	9.45859	−	11.8607i	0.312010	−	0.391248i	0.912967	+	0.408033i	$0.133785\pi$
$920$	−3.81461	+	4.78337i	−0.125764	+	0.157703i
$921$	−5.58349	+	24.4629i	−0.183982	+	0.806078i
$922$	−2.00470	+	0.965415i	−0.0660214	+	0.0317942i
$923$	0.452150	+	0.217744i	0.0148827	+	0.00716713i
$924$	1.46751	−	6.42956i	0.0482774	−	0.211517i
$925$	−1.40144	+	6.14012i	−0.0460791	+	0.201886i
$926$	−32.9806	−	15.8826i	−1.08381	−	0.521935i
$927$	28.9436	−	13.9385i	0.950633	−	0.457801i
$928$	−0.133404	+	0.584481i	−0.00437920	+	0.0191865i
$929$	−4.62548	+	5.80016i	−0.151757	+	0.190297i	−0.851899	−	0.523707i	$-0.824549\pi$
$929$	−4.62548	+	5.80016i	−0.151757	+	0.190297i	0.700142	+	0.714004i	$0.253120\pi$
$930$	1.65187	−	2.07137i	0.0541668	−	0.0679231i
$931$	−5.06799	+	2.44062i	−0.166097	+	0.0799880i
$932$	3.58633	+	15.7127i	0.117474	+	0.514688i
$933$	0.459779	+	0.576544i	0.0150525	+	0.0188752i
$934$	−9.16048	−	40.1347i	−0.299740	−	1.31325i
$935$	5.36546	+	2.58387i	0.175469	+	0.0845015i
$936$	0.141596	−	0.177556i	0.00462822	−	0.00580360i
$937$	−12.9892	−	6.25525i	−0.424337	−	0.204350i	0.209513	−	0.977806i	$-0.432812\pi$
$937$	−12.9892	−	6.25525i	−0.424337	−	0.204350i	−0.633850	+	0.773456i	$0.718526\pi$
$938$	14.7091	+	18.4447i	0.480270	+	0.602240i
$939$	−6.07608			−0.198285
$940$	11.5600			0.377046
$941$	4.79920	+	6.01801i	0.156450	+	0.196181i	0.853878	−	0.520472i	$-0.174244\pi$
$941$	4.79920	+	6.01801i	0.156450	+	0.196181i	−0.697429	+	0.716654i	$0.745673\pi$
$942$	7.93943	−	3.82343i	0.258681	−	0.124574i
$943$	16.1467	−	70.7433i	0.525808	−	2.30372i
$944$	−2.92628	−	12.8209i	−0.0952423	−	0.417284i
$945$	11.3069			0.367815
$946$	−20.3510	−	4.21980i	−0.661667	−	0.137197i
$947$	−17.3825			−0.564854			−0.282427	−	0.959289i	$-0.591140\pi$
$947$	−17.3825			−0.564854			−0.282427	+	0.959289i	$0.591140\pi$
$948$	2.94341	+	12.8959i	0.0955974	+	0.418839i
$949$	0.272182	−	1.19251i	0.00883540	−	0.0387104i
$950$	7.78866	−	3.75082i	0.252698	−	0.121693i
$951$	−1.29134	−	1.61928i	−0.0418744	−	0.0525089i
$952$	5.19703			0.168437
$953$	−35.0706			−1.13605			−0.568024	−	0.823012i	$-0.692292\pi$
$953$	−35.0706			−1.13605			−0.568024	+	0.823012i	$0.692292\pi$
$954$	−15.2108	−	19.0738i	−0.492469	−	0.617537i
$955$	−8.67606	−	4.17817i	−0.280751	−	0.135202i
$956$	−3.57454	+	4.48233i	−0.115609	+	0.144969i
$957$	−1.28785	−	0.620198i	−0.0416304	−	0.0200481i
$958$	3.80477	+	16.6698i	0.122927	+	0.538577i
$959$	−10.9797	−	13.7680i	−0.354551	−	0.444593i
$960$	0.167393	+	0.733397i	0.00540259	+	0.0236703i
$961$	16.7545	−	8.06856i	0.540469	−	0.260276i
$962$	−0.366367	+	0.459409i	−0.0118121	+	0.0148120i
$963$	25.2543	−	31.6679i	0.813809	−	1.02048i
$964$	3.73912	−	16.3822i	0.120429	−	0.527634i
$965$	15.1415	−	7.29176i	0.487422	−	0.234730i
$966$	−11.4696	−	5.52346i	−0.369028	−	0.177715i
$967$	−3.96263	+	17.3614i	−0.127429	+	0.558305i	0.870394	+	0.492357i	$0.163864\pi$
$967$	−3.96263	+	17.3614i	−0.127429	+	0.558305i	−0.997823	+	0.0659483i	$0.978993\pi$
$968$	−0.212335	+	0.930300i	−0.00682470	+	0.0299010i
$969$	11.0087	+	5.30150i	0.353650	+	0.170309i
$970$	1.50314	−	0.723872i	0.0482628	−	0.0232421i
$971$	−13.0015	+	56.9632i	−0.417237	+	1.82803i	0.130581	+	0.991438i	$0.458316\pi$
$971$	−13.0015	+	56.9632i	−0.417237	+	1.82803i	−0.547818	+	0.836597i	$0.684542\pi$
$972$	9.62887	−	12.0742i	0.308846	−	0.387281i
$973$	1.04230	−	1.30700i	0.0334146	−	0.0419005i
$974$	−27.4442	+	13.2164i	−0.879370	+	0.423482i
$975$	−0.0156178	−	0.0684261i	−0.000500170	−	0.00219139i
$976$	3.57949	+	4.48854i	0.114577	+	0.143675i
$977$	−3.34683	−	14.6634i	−0.107075	−	0.469125i	−0.999827	−	0.0185779i	$-0.994086\pi$
$977$	−3.34683	−	14.6634i	−0.107075	−	0.469125i	0.892753	−	0.450547i	$-0.148771\pi$
$978$	−0.986499	−	0.475073i	−0.0315448	−	0.0151912i
$979$	−9.93795	+	12.4618i	−0.317618	+	0.398281i
$980$	0.586250	+	0.282323i	0.0187271	+	0.00901849i
$981$	−28.7147	−	36.0071i	−0.916790	−	1.14962i
$982$	−10.8473			−0.346151
$983$	21.0786			0.672304			0.336152	−	0.941808i	$-0.390874\pi$
$983$	21.0786			0.672304			0.336152	+	0.941808i	$0.390874\pi$
$984$	−5.56273	−	6.97544i	−0.177333	−	0.222369i
$985$	10.0824	−	4.85544i	0.321252	−	0.154707i
$986$	0.250654	−	1.09819i	0.00798244	−	0.0349734i
$987$	5.35238	+	23.4503i	0.170368	+	0.746431i
$988$	0.806558			0.0256600
$989$	−16.6828	+	36.4864i	−0.530483	+	1.16020i
$990$	7.71492			0.245196
$991$	−10.1969	−	44.6757i	−0.323916	−	1.41917i	−0.830519	−	0.556991i	$-0.811956\pi$
$991$	−10.1969	−	44.6757i	−0.323916	−	1.41917i	0.506602	−	0.862180i	$-0.330901\pi$
$992$	0.783699	−	3.43361i	0.0248825	−	0.109017i
$993$	−6.96855	+	3.35588i	−0.221140	+	0.106496i
$994$	9.27619	+	11.6320i	0.294223	+	0.368944i
$995$	19.2419			0.610008
$996$	1.02234			0.0323942
$997$	−21.2726	−	26.6750i	−0.673710	−	0.844806i	0.321048	−	0.947063i	$-0.395965\pi$
$997$	−21.2726	−	26.6750i	−0.673710	−	0.844806i	−0.994758	+	0.102257i	$0.967394\pi$
$998$	36.1359	+	17.4021i	1.14386	+	0.550854i
$999$	−16.0520	+	20.1286i	−0.507862	+	0.636839i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.d.231.2	yes	24
43.35	even	7	inner	430.2.k.d.121.2	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.d.121.2	✓	24	43.35	even	7	inner
430.2.k.d.231.2	yes	24	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)

\(f(q)\)	\(=\)	\(q+(0.222521 + 0.974928i) q^{2} +(-0.167393 + 0.733397i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.623490 - 0.781831i) q^{5} -0.752258 q^{6} +2.76599 q^{7} +(-0.623490 - 0.781831i) q^{8} +(2.19306 + 1.05612i) q^{9} +O(q^{10})\)	\(q+(0.222521 + 0.974928i) q^{2} +(-0.167393 + 0.733397i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-0.623490 - 0.781831i) q^{5} -0.752258 q^{6} +2.76599 q^{7} +(-0.623490 - 0.781831i) q^{8} +(2.19306 + 1.05612i) q^{9} +(0.623490 - 0.781831i) q^{10} +(2.85563 + 1.37520i) q^{11} +(-0.167393 - 0.733397i) q^{12} +(0.0581717 + 0.0729450i) q^{13} +(0.615490 + 2.69664i) q^{14} +(0.677761 - 0.326393i) q^{15} +(0.623490 - 0.781831i) q^{16} +(-1.17148 + 1.46899i) q^{17} +(-0.541640 + 2.37308i) q^{18} +(-7.78866 + 3.75082i) q^{19} +(0.900969 + 0.433884i) q^{20} +(-0.463007 + 2.02857i) q^{21} +(-0.705282 + 3.09004i) q^{22} +(5.51227 + 2.65457i) q^{23} +(0.677761 - 0.326393i) q^{24} +(-0.222521 + 0.974928i) q^{25} +(-0.0581717 + 0.0729450i) q^{26} +(-2.54873 + 3.19601i) q^{27} +(-2.49207 + 1.20012i) q^{28} +(0.133404 + 0.584481i) q^{29} +(0.469025 + 0.588139i) q^{30} +(-0.783699 - 3.43361i) q^{31} +(0.900969 + 0.433884i) q^{32} +(-1.48658 + 1.86411i) q^{33} +(-1.69284 - 0.815227i) q^{34} +(-1.72457 - 2.16254i) q^{35} -2.43411 q^{36} +6.29802 q^{37} +(-5.38992 - 6.75875i) q^{38} +(-0.0632352 + 0.0304525i) q^{39} +(-0.222521 + 0.974928i) q^{40} +(-2.63914 - 11.5628i) q^{41} -2.08074 q^{42} +(0.130782 + 6.55613i) q^{43} -3.16951 q^{44} +(-0.541640 - 2.37308i) q^{45} +(-1.36142 + 5.96477i) q^{46} +(10.4152 - 5.01571i) q^{47} +(0.469025 + 0.588139i) q^{48} +0.650689 q^{49} -1.00000 q^{50} +(-0.881255 - 1.10506i) q^{51} +(-0.0840606 - 0.0404814i) q^{52} +(-6.24905 + 7.83605i) q^{53} +(-3.68303 - 1.77365i) q^{54} +(-0.705282 - 3.09004i) q^{55} +(-1.72457 - 2.16254i) q^{56} +(-1.44707 - 6.34005i) q^{57} +(-0.540142 + 0.260119i) q^{58} +(8.19926 - 10.2815i) q^{59} +(-0.469025 + 0.588139i) q^{60} +(-1.27750 + 5.59711i) q^{61} +(3.17313 - 1.52810i) q^{62} +(6.06596 + 2.92121i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(0.0207612 - 0.0909609i) q^{65} +(-2.14817 - 1.03450i) q^{66} +(7.68453 - 3.70067i) q^{67} +(0.418096 - 1.83180i) q^{68} +(-2.86957 + 3.59833i) q^{69} +(1.72457 - 2.16254i) q^{70} +(4.84618 - 2.33380i) q^{71} +(-0.541640 - 2.37308i) q^{72} +(-8.17401 - 10.2499i) q^{73} +(1.40144 + 6.14012i) q^{74} +(-0.677761 - 0.326393i) q^{75} +(5.38992 - 6.75875i) q^{76} +(7.89863 + 3.80378i) q^{77} +(-0.0437601 - 0.0548735i) q^{78} -17.5838 q^{79} -1.00000 q^{80} +(2.63562 + 3.30496i) q^{81} +(10.6857 - 5.14594i) q^{82} +(-0.302413 + 1.32496i) q^{83} +(-0.463007 - 2.02857i) q^{84} +1.87891 q^{85} +(-6.36266 + 1.58638i) q^{86} -0.450988 q^{87} +(-0.705282 - 3.09004i) q^{88} +(-1.11904 + 4.90284i) q^{89} +(2.19306 - 1.05612i) q^{90} +(0.160902 + 0.201765i) q^{91} -6.11816 q^{92} +2.64939 q^{93} +(7.20756 + 9.03799i) q^{94} +(7.78866 + 3.75082i) q^{95} +(-0.469025 + 0.588139i) q^{96} +(1.50314 + 0.723872i) q^{97} +(0.144792 + 0.634375i) q^{98} +(4.81018 + 6.03177i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * q^99

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