LMFDB - Embedded newform 728.2.c.a.365.29

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [728,2,Mod(365,728)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(728, base_ring=CyclotomicField(2)) chi = DirichletCharacter(H, H._module([0, 1, 0, 0])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("728.365"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 728 = 2^{3} \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	728.c (of order $2$, degree $1$, minimal)

Newform invariants

comment:select newform

sage:traces = [34] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$5.81310926715$
Analytic rank:	$0$
Dimension:	$34$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label			365.29
Character	$\chi$	$=$	728.365
Dual form			728.2.c.a.365.30

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.30647 - 0.541419i) q^{2} +1.08909i q^{3} +(1.41373 - 1.41470i) q^{4} -0.821018i q^{5} +(0.589655 + 1.42287i) q^{6} -1.00000 q^{7} +(1.08106 - 2.61368i) q^{8} +1.81388 q^{9} +(-0.444514 - 1.07264i) q^{10} +4.25242i q^{11} +(1.54073 + 1.53968i) q^{12} -1.00000i q^{13} +(-1.30647 + 0.541419i) q^{14} +0.894163 q^{15} +(-0.00272822 - 4.00000i) q^{16} +7.72310 q^{17} +(2.36978 - 0.982069i) q^{18} -6.99637i q^{19} +(-1.16149 - 1.16070i) q^{20} -1.08909i q^{21} +(2.30234 + 5.55567i) q^{22} +1.19971 q^{23} +(2.84654 + 1.17737i) q^{24} +4.32593 q^{25} +(-0.541419 - 1.30647i) q^{26} +5.24276i q^{27} +(-1.41373 + 1.41470i) q^{28} +4.38610i q^{29} +(1.16820 - 0.484117i) q^{30} -7.30123 q^{31} +(-2.16924 - 5.22440i) q^{32} -4.63128 q^{33} +(10.0900 - 4.18143i) q^{34} +0.821018i q^{35} +(2.56434 - 2.56609i) q^{36} -1.17474i q^{37} +(-3.78797 - 9.14055i) q^{38} +1.08909 q^{39} +(-2.14588 - 0.887565i) q^{40} -7.88855 q^{41} +(-0.589655 - 1.42287i) q^{42} -4.44559i q^{43} +(6.01589 + 6.01178i) q^{44} -1.48923i q^{45} +(1.56739 - 0.649547i) q^{46} -7.93067 q^{47} +(4.35637 - 0.00297128i) q^{48} +1.00000 q^{49} +(5.65170 - 2.34214i) q^{50} +8.41116i q^{51} +(-1.41470 - 1.41373i) q^{52} +2.16908i q^{53} +(2.83853 + 6.84951i) q^{54} +3.49131 q^{55} +(-1.08106 + 2.61368i) q^{56} +7.61968 q^{57} +(2.37471 + 5.73030i) q^{58} +2.66321i q^{59} +(1.26411 - 1.26497i) q^{60} +4.10494i q^{61} +(-9.53884 + 3.95302i) q^{62} -1.81388 q^{63} +(-5.66264 - 5.65106i) q^{64} -0.821018 q^{65} +(-6.05063 + 2.50746i) q^{66} +13.5071i q^{67} +(10.9184 - 10.9258i) q^{68} +1.30660i q^{69} +(0.444514 + 1.07264i) q^{70} +12.9052 q^{71} +(1.96090 - 4.74090i) q^{72} -5.93625 q^{73} +(-0.636028 - 1.53477i) q^{74} +4.71133i q^{75} +(-9.89773 - 9.89098i) q^{76} -4.25242i q^{77} +(1.42287 - 0.589655i) q^{78} -9.85445 q^{79} +(-3.28407 + 0.00223992i) q^{80} -0.268202 q^{81} +(-10.3062 + 4.27101i) q^{82} -0.116619i q^{83} +(-1.54073 - 1.53968i) q^{84} -6.34080i q^{85} +(-2.40693 - 5.80803i) q^{86} -4.77686 q^{87} +(11.1145 + 4.59711i) q^{88} -7.88817 q^{89} +(-0.806296 - 1.94563i) q^{90} +1.00000i q^{91} +(1.69607 - 1.69723i) q^{92} -7.95170i q^{93} +(-10.3612 + 4.29381i) q^{94} -5.74414 q^{95} +(5.68985 - 2.36250i) q^{96} +3.65495 q^{97} +(1.30647 - 0.541419i) q^{98} +7.71338i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 34 q + 2 q^{2} - 2 q^{4} - 6 q^{6} - 34 q^{7} + 8 q^{8} - 26 q^{9} - 4 q^{12} - 2 q^{14} - 8 q^{15} - 6 q^{16} - 20 q^{17} + 14 q^{18} - 4 q^{20} - 10 q^{22} - 20 q^{23} + 10 q^{24} - 22 q^{25} + 2 q^{28}+ \cdots + 2 q^{98}+O(q^{100}) $ 34 * q + 2 * q^2 - 2 * q^4 - 6 * q^6 - 34 * q^7 + 8 * q^8 - 26 * q^9 - 4 * q^12 - 2 * q^14 - 8 * q^15 - 6 * q^16 - 20 * q^17 + 14 * q^18 - 4 * q^20 - 10 * q^22 - 20 * q^23 + 10 * q^24 - 22 * q^25 + 2 * q^28 - 60 * q^30 + 16 * q^31 + 12 * q^32 - 8 * q^33 + 28 * q^34 - 4 * q^36 - 28 * q^38 + 8 * q^39 + 64 * q^40 + 8 * q^41 + 6 * q^42 + 24 * q^44 + 16 * q^46 + 24 * q^48 + 34 * q^49 + 10 * q^50 - 4 * q^52 - 18 * q^54 - 32 * q^55 - 8 * q^56 + 8 * q^57 + 44 * q^58 - 24 * q^60 + 60 * q^62 + 26 * q^63 - 2 * q^64 - 20 * q^65 + 24 * q^66 + 12 * q^68 + 64 * q^71 - 92 * q^72 - 22 * q^74 + 4 * q^76 + 20 * q^79 - 56 * q^80 - 6 * q^81 - 20 * q^82 + 4 * q^84 - 12 * q^86 - 56 * q^87 - 34 * q^88 - 4 * q^90 - 54 * q^92 + 12 * q^94 + 42 * q^96 + 2 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/728\mathbb{Z}\right)^\times$.

$n$	$183$	$365$	$521$	$561$
$\chi(n)$	$1$	$-1$	$1$	$1$

Coefficient data

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

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

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

$2$	1.30647	−	0.541419i	0.923814	−	0.382841i
$2$	1.30647	−	0.541419i	0.923814	−	0.382841i
$3$			1.08909i			0.628787i	0.949293	+	0.314394i	$0.101801\pi$
$3$			1.08909i			0.628787i	−0.949293	+	0.314394i	$0.898199\pi$
$4$	1.41373	−	1.41470i	0.706866	−	0.707348i
$5$		−	0.821018i		−	0.367170i	−0.983004	−	0.183585i	$-0.941230\pi$
$5$		−	0.821018i		−	0.367170i	0.983004	−	0.183585i	$-0.0587703\pi$
$6$	0.589655	+	1.42287i	0.240726	+	0.580883i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	1.08106	−	2.61368i	0.382211	−	0.924075i
$9$	1.81388			0.604627
$10$	−0.444514	−	1.07264i	−0.140568	−	0.339197i
$11$			4.25242i			1.28215i	0.767477	+	0.641077i	$0.221512\pi$
$11$			4.25242i			1.28215i	−0.767477	+	0.641077i	$0.778488\pi$
$12$	1.54073	+	1.53968i	0.444771	+	0.444468i
$13$		−	1.00000i		−	0.277350i
$13$		−	1.00000i		−	0.277350i
$14$	−1.30647	+	0.541419i	−0.349169	+	0.144700i
$15$	0.894163			0.230872
$16$	−0.00272822	−	4.00000i	−0.000682056	−	1.00000i
$17$	7.72310			1.87313			0.936564	−	0.350498i	$-0.113988\pi$
$17$	7.72310			1.87313			0.936564	+	0.350498i	$0.113988\pi$
$18$	2.36978	−	0.982069i	0.558563	−	0.231476i
$19$		−	6.99637i		−	1.60508i	−0.596601	−	0.802538i	$-0.703482\pi$
$19$		−	6.99637i		−	1.60508i	0.596601	−	0.802538i	$-0.296518\pi$
$20$	−1.16149	−	1.16070i	−0.259717	−	0.259540i
$21$		−	1.08909i		−	0.237659i
$22$	2.30234	+	5.55567i	0.490861	+	1.18447i
$23$	1.19971			0.250157			0.125079	−	0.992147i	$-0.460082\pi$
$23$	1.19971			0.250157			0.125079	+	0.992147i	$0.460082\pi$
$24$	2.84654	+	1.17737i	0.581047	+	0.240329i
$25$	4.32593			0.865186
$26$	−0.541419	−	1.30647i	−0.106181	−	0.256220i
$27$			5.24276i			1.00897i
$28$	−1.41373	+	1.41470i	−0.267170	+	0.267352i
$29$			4.38610i			0.814477i	0.913322	+	0.407239i	$0.133508\pi$
$29$			4.38610i			0.814477i	−0.913322	+	0.407239i	$0.866492\pi$
$30$	1.16820	−	0.484117i	0.213283	−	0.0883873i
$31$	−7.30123			−1.31134			−0.655669	−	0.755048i	$-0.727613\pi$
$31$	−7.30123			−1.31134			−0.655669	+	0.755048i	$0.727613\pi$
$32$	−2.16924	−	5.22440i	−0.383471	−	0.923553i
$33$	−4.63128			−0.806202
$34$	10.0900	−	4.18143i	1.73042	−	0.717110i
$35$			0.821018i			0.138777i
$36$	2.56434	−	2.56609i	0.427390	−	0.427681i
$37$		−	1.17474i		−	0.193127i	−0.995327	−	0.0965633i	$-0.969215\pi$
$37$		−	1.17474i		−	0.193127i	0.995327	−	0.0965633i	$-0.0307850\pi$
$38$	−3.78797	−	9.14055i	−0.614489	−	1.48279i
$39$	1.08909			0.174394
$40$	−2.14588	−	0.887565i	−0.339293	−	0.140336i
$41$	−7.88855			−1.23198			−0.615992	−	0.787752i	$-0.711245\pi$
$41$	−7.88855			−1.23198			−0.615992	+	0.787752i	$0.711245\pi$
$42$	−0.589655	−	1.42287i	−0.0909857	−	0.219553i
$43$		−	4.44559i		−	0.677946i	−0.940796	−	0.338973i	$-0.889920\pi$
$43$		−	4.44559i		−	0.677946i	0.940796	−	0.338973i	$-0.110080\pi$
$44$	6.01589	+	6.01178i	0.906929	+	0.906311i
$45$		−	1.48923i		−	0.222001i
$46$	1.56739	−	0.649547i	0.231099	−	0.0957704i
$47$	−7.93067			−1.15681			−0.578404	−	0.815751i	$-0.696324\pi$
$47$	−7.93067			−1.15681			−0.578404	+	0.815751i	$0.696324\pi$
$48$	4.35637	−	0.00297128i	0.628787	−	0.000428868i
$49$	1.00000			0.142857
$50$	5.65170	−	2.34214i	0.799271	−	0.331229i
$51$			8.41116i			1.17780i
$52$	−1.41470	−	1.41373i	−0.196183	−	0.196049i
$53$			2.16908i			0.297946i	0.988841	+	0.148973i	$0.0475968\pi$
$53$			2.16908i			0.297946i	−0.988841	+	0.148973i	$0.952403\pi$
$54$	2.83853	+	6.84951i	0.386275	+	0.932100i
$55$	3.49131			0.470769
$56$	−1.08106	+	2.61368i	−0.144462	+	0.349268i
$57$	7.61968			1.00925
$58$	2.37471	+	5.73030i	0.311815	+	0.752426i
$59$			2.66321i			0.346720i	0.984859	+	0.173360i	$0.0554624\pi$
$59$			2.66321i			0.346720i	−0.984859	+	0.173360i	$0.944538\pi$
$60$	1.26411	−	1.26497i	0.163195	−	0.163307i
$61$			4.10494i			0.525583i	0.964853	+	0.262792i	$0.0846432\pi$
$61$			4.10494i			0.525583i	−0.964853	+	0.262792i	$0.915357\pi$
$62$	−9.53884	+	3.95302i	−1.21143	+	0.502034i
$63$	−1.81388			−0.228527
$64$	−5.66264	−	5.65106i	−0.707830	−	0.706383i
$65$	−0.821018			−0.101835
$66$	−6.05063	+	2.50746i	−0.744781	+	0.308647i
$67$			13.5071i			1.65016i	0.565019	+	0.825078i	$0.308869\pi$
$67$			13.5071i			1.65016i	−0.565019	+	0.825078i	$0.691131\pi$
$68$	10.9184	−	10.9258i	1.32405	−	1.32495i
$69$			1.30660i			0.157296i
$70$	0.444514	+	1.07264i	0.0531296	+	0.128204i
$71$	12.9052			1.53156			0.765782	−	0.643100i	$-0.222352\pi$
$71$	12.9052			1.53156			0.765782	+	0.643100i	$0.222352\pi$
$72$	1.96090	−	4.74090i	0.231095	−	0.558720i
$73$	−5.93625			−0.694786			−0.347393	−	0.937720i	$-0.612933\pi$
$73$	−5.93625			−0.694786			−0.347393	+	0.937720i	$0.612933\pi$
$74$	−0.636028	−	1.53477i	−0.0739367	−	0.178413i
$75$			4.71133i			0.544018i
$76$	−9.89773	−	9.89098i	−1.13535	−	1.13457i
$77$		−	4.25242i		−	0.484609i
$78$	1.42287	−	0.589655i	0.161108	−	0.0667652i
$79$	−9.85445			−1.10871			−0.554356	−	0.832279i	$-0.687035\pi$
$79$	−9.85445			−1.10871			−0.554356	+	0.832279i	$0.687035\pi$
$80$	−3.28407	+	0.00223992i	−0.367170	+	0.000250431i
$81$	−0.268202			−0.0298002
$82$	−10.3062	+	4.27101i	−1.13812	+	0.471654i
$83$		−	0.116619i		−	0.0128006i	−0.999980	−	0.00640032i	$-0.997963\pi$
$83$		−	0.116619i		−	0.0128006i	0.999980	−	0.00640032i	$-0.00203730\pi$
$84$	−1.54073	−	1.53968i	−0.168108	−	0.167993i
$85$		−	6.34080i		−	0.687757i
$86$	−2.40693	−	5.80803i	−0.259545	−	0.626296i
$87$	−4.77686			−0.512133
$88$	11.1145	+	4.59711i	1.18481	+	0.490053i
$89$	−7.88817			−0.836144			−0.418072	−	0.908414i	$-0.637294\pi$
$89$	−7.88817			−0.836144			−0.418072	+	0.908414i	$0.637294\pi$
$90$	−0.806296	−	1.94563i	−0.0849910	−	0.205088i
$91$			1.00000i			0.104828i
$92$	1.69607	−	1.69723i	0.176828	−	0.176948i
$93$		−	7.95170i		−	0.824553i
$94$	−10.3612	+	4.29381i	−1.06867	+	0.442873i
$95$	−5.74414			−0.589336
$96$	5.68985	−	2.36250i	0.580718	−	0.241122i
$97$	3.65495			0.371104			0.185552	−	0.982634i	$-0.440593\pi$
$97$	3.65495			0.371104			0.185552	+	0.982634i	$0.440593\pi$
$98$	1.30647	−	0.541419i	0.131973	−	0.0546916i
$99$			7.71338i			0.775224i
$100$	6.11570	−	6.11987i	0.611570	−	0.611987i
$101$		−	10.9128i		−	1.08587i	−0.839776	−	0.542934i	$-0.817313\pi$
$101$		−	10.9128i		−	1.08587i	0.839776	−	0.542934i	$-0.182687\pi$
$102$	4.55396	+	10.9889i	0.450910	+	1.08807i
$103$	−8.82041			−0.869101			−0.434551	−	0.900647i	$-0.643093\pi$
$103$	−8.82041			−0.869101			−0.434551	+	0.900647i	$0.643093\pi$
$104$	−2.61368	−	1.08106i	−0.256292	−	0.106006i
$105$	−0.894163			−0.0872614
$106$	1.17438	+	2.83384i	0.114066	+	0.275247i
$107$		−	9.16243i		−	0.885765i	−0.896580	−	0.442883i	$-0.853956\pi$
$107$		−	9.16243i		−	0.885765i	0.896580	−	0.442883i	$-0.146044\pi$
$108$	7.41690	+	7.41185i	0.713692	+	0.713205i
$109$			18.8507i			1.80557i	0.430090	+	0.902786i	$0.358482\pi$
$109$			18.8507i			1.80557i	−0.430090	+	0.902786i	$0.641518\pi$
$110$	4.56130	−	1.89026i	0.434903	−	0.180230i
$111$	1.27940			0.121436
$112$	0.00272822	+	4.00000i	0.000257793	+	0.377964i
$113$	−13.2466			−1.24613			−0.623067	−	0.782169i	$-0.714114\pi$
$113$	−13.2466			−1.24613			−0.623067	+	0.782169i	$0.714114\pi$
$114$	9.95489	−	4.12544i	0.932361	−	0.386383i
$115$		−	0.984985i		−	0.0918503i
$116$	6.20499	+	6.20076i	0.576119	+	0.575726i
$117$		−	1.81388i		−	0.167693i
$118$	1.44191	+	3.47940i	0.132739	+	0.320305i
$119$	−7.72310			−0.707975
$120$	0.966640	−	2.33706i	0.0882418	−	0.213343i
$121$	−7.08311			−0.643919
$122$	2.22249	+	5.36298i	0.201215	+	0.485541i
$123$		−	8.59135i		−	0.774656i
$124$	−10.3220	+	10.3290i	−0.926940	+	0.927573i
$125$		−	7.65675i		−	0.684841i
$126$	−2.36978	+	0.982069i	−0.211117	+	0.0874896i
$127$	−8.59668			−0.762832			−0.381416	−	0.924403i	$-0.624563\pi$
$127$	−8.59668			−0.762832			−0.381416	+	0.924403i	$0.624563\pi$
$128$	−10.4577	−	4.31709i	−0.924336	−	0.381580i
$129$	4.84165			0.426284
$130$	−1.07264	+	0.444514i	−0.0940764	+	0.0389865i
$131$			8.07506i			0.705522i	0.935714	+	0.352761i	$0.114757\pi$
$131$			8.07506i			0.705522i	−0.935714	+	0.352761i	$0.885243\pi$
$132$	−6.54738	+	6.55185i	−0.569877	+	0.570265i
$133$			6.99637i			0.606662i
$134$	7.31300	+	17.6466i	0.631747	+	1.52444i
$135$	4.30439			0.370463
$136$	8.34910	−	20.1857i	0.715929	−	1.73091i
$137$	4.82257			0.412020			0.206010	−	0.978550i	$-0.433952\pi$
$137$	4.82257			0.412020			0.206010	+	0.978550i	$0.433952\pi$
$138$	0.707416	+	1.70703i	0.0602192	+	0.145312i
$139$			6.48741i			0.550255i	0.961408	+	0.275127i	$0.0887200\pi$
$139$			6.48741i			0.550255i	−0.961408	+	0.275127i	$0.911280\pi$
$140$	1.16149	+	1.16070i	0.0981638	+	0.0980969i
$141$		−	8.63722i		−	0.727386i
$142$	16.8603	−	6.98712i	1.41488	−	0.586346i
$143$	4.25242			0.355606
$144$	−0.00494867	−	7.25552i	−0.000412389	−	0.604626i
$145$	3.60106			0.299052
$146$	−7.75554	+	3.21400i	−0.641853	+	0.265992i
$147$			1.08909i			0.0898268i
$148$	−1.66190	−	1.66077i	−0.136608	−	0.136515i
$149$		−	15.4727i		−	1.26758i	−0.773507	−	0.633788i	$-0.781499\pi$
$149$		−	15.4727i		−	1.26758i	0.773507	−	0.633788i	$-0.218501\pi$
$150$	2.55081	+	6.15522i	0.208272	+	0.502572i
$151$	−14.8617			−1.20943			−0.604713	−	0.796443i	$-0.706712\pi$
$151$	−14.8617			−1.20943			−0.604713	+	0.796443i	$0.706712\pi$
$152$	−18.2863	−	7.56346i	−1.48321	−	0.613478i
$153$	14.0088			1.13254
$154$	−2.30234	−	5.55567i	−0.185528	−	0.447688i
$155$			5.99443i			0.481485i
$156$	1.53968	−	1.54073i	0.123273	−	0.123357i
$157$			6.42693i			0.512925i	0.966554	+	0.256463i	$0.0825570\pi$
$157$			6.42693i			0.512925i	−0.966554	+	0.256463i	$0.917443\pi$
$158$	−12.8746	+	5.33539i	−1.02424	+	0.424461i
$159$	−2.36233			−0.187345
$160$	−4.28933	+	1.78098i	−0.339101	+	0.140799i
$161$	−1.19971			−0.0945505
$162$	−0.350398	+	0.145209i	−0.0275298	+	0.0114087i
$163$			10.7127i			0.839082i	0.907736	+	0.419541i	$0.137809\pi$
$163$			10.7127i			0.839082i	−0.907736	+	0.419541i	$0.862191\pi$
$164$	−11.1523	+	11.1599i	−0.870848	+	0.871442i
$165$			3.80236i			0.296013i
$166$	−0.0631399	−	0.152360i	−0.00490061	−	0.0118254i
$167$	−7.05570			−0.545987			−0.272993	−	0.962016i	$-0.588014\pi$
$167$	−7.05570			−0.545987			−0.272993	+	0.962016i	$0.588014\pi$
$168$	−2.84654	−	1.17737i	−0.219615	−	0.0908359i
$169$	−1.00000			−0.0769231
$170$	−3.43303	−	8.28407i	−0.263301	−	0.635359i
$171$		−	12.6906i		−	0.970472i
$172$	−6.28915	−	6.28487i	−0.479544	−	0.479217i
$173$		−	2.38643i		−	0.181437i	−0.995877	−	0.0907185i	$-0.971084\pi$
$173$		−	2.38643i		−	0.181437i	0.995877	−	0.0907185i	$-0.0289164\pi$
$174$	−6.24083	+	2.58628i	−0.473116	+	0.196066i
$175$	−4.32593			−0.327010
$176$	17.0097	−	0.0116016i	1.28215	−	0.000874500i
$177$	−2.90047			−0.218013
$178$	−10.3057	+	4.27080i	−0.772442	+	0.320110i
$179$		−	6.02899i		−	0.450628i	−0.974286	−	0.225314i	$-0.927659\pi$
$179$		−	6.02899i		−	0.450628i	0.974286	−	0.225314i	$-0.0723408\pi$
$180$	−2.10680	−	2.10537i	−0.157032	−	0.156925i
$181$		−	22.5931i		−	1.67933i	−0.543105	−	0.839665i	$-0.682751\pi$
$181$		−	22.5931i		−	1.67933i	0.543105	−	0.839665i	$-0.317249\pi$
$182$	0.541419	+	1.30647i	0.0401326	+	0.0968420i
$183$	−4.47065			−0.330480
$184$	1.29695	−	3.13566i	0.0956128	−	0.231164i
$185$	−0.964485			−0.0709103
$186$	−4.30520	−	10.3887i	−0.315673	−	0.761734i
$187$			32.8419i			2.40164i
$188$	−11.2118	+	11.2195i	−0.817707	+	0.818265i
$189$		−	5.24276i		−	0.381354i
$190$	−7.50455	+	3.10999i	−0.544437	+	0.225622i
$191$	20.2866			1.46789			0.733945	−	0.679209i	$-0.237677\pi$
$191$	20.2866			1.46789			0.733945	+	0.679209i	$0.237677\pi$
$192$	6.15453	−	6.16713i	0.444165	−	0.445074i
$193$	−19.3385			−1.39201			−0.696007	−	0.718035i	$-0.745042\pi$
$193$	−19.3385			−1.39201			−0.696007	+	0.718035i	$0.745042\pi$
$194$	4.77508	−	1.97886i	0.342831	−	0.142074i
$195$		−	0.894163i		−	0.0640324i
$196$	1.41373	−	1.41470i	0.100981	−	0.101050i
$197$			2.07075i			0.147535i	0.997275	+	0.0737675i	$0.0235023\pi$
$197$			2.07075i			0.147535i	−0.997275	+	0.0737675i	$0.976498\pi$
$198$	4.17617	+	10.0773i	0.296788	+	0.716163i
$199$	16.7149			1.18489			0.592445	−	0.805611i	$-0.298163\pi$
$199$	16.7149			1.18489			0.592445	+	0.805611i	$0.298163\pi$
$200$	4.67657	−	11.3066i	0.330683	−	0.799497i
$201$	−14.7105			−1.03760
$202$	−5.90841	−	14.2573i	−0.415715	−	1.00314i
$203$		−	4.38610i		−	0.307844i
$204$	11.8992	+	11.8911i	0.833113	+	0.832545i
$205$			6.47664i			0.452348i
$206$	−11.5236	+	4.77554i	−0.802888	+	0.332728i
$207$	2.17613			0.151252
$208$	−4.00000	+	0.00272822i	−0.277350	+	0.000189168i
$209$	29.7515			2.05796
$210$	−1.16820	+	0.484117i	−0.0806133	+	0.0334072i
$211$		−	14.8809i		−	1.02444i	−0.858853	−	0.512222i	$-0.828823\pi$
$211$		−	14.8809i		−	1.02444i	0.858853	−	0.512222i	$-0.171177\pi$
$212$	3.06859	+	3.06650i	0.210752	+	0.210608i
$213$			14.0549i			0.963028i
$214$	−4.96071	−	11.9704i	−0.339107	−	0.818283i
$215$	−3.64991			−0.248922
$216$	13.7029	+	5.66771i	0.932363	+	0.385639i
$217$	7.30123			0.495639
$218$	10.2061	+	24.6279i	0.691247	+	1.66801i
$219$		−	6.46512i		−	0.436873i
$220$	4.93578	−	4.93915i	0.332770	−	0.332997i
$221$		−	7.72310i		−	0.519512i
$222$	1.67150	−	0.692693i	0.112184	−	0.0464905i
$223$	23.9546			1.60412			0.802058	−	0.597246i	$-0.203738\pi$
$223$	23.9546			1.60412			0.802058	+	0.597246i	$0.203738\pi$
$224$	2.16924	+	5.22440i	0.144938	+	0.349070i
$225$	7.84672			0.523114
$226$	−17.3063	+	7.17195i	−1.15120	+	0.477071i
$227$			16.1148i			1.06958i	0.844985	+	0.534790i	$0.179609\pi$
$227$			16.1148i			1.06958i	−0.844985	+	0.534790i	$0.820391\pi$
$228$	10.7722	−	10.7795i	0.713405	−	0.713892i
$229$		−	17.0059i		−	1.12378i	−0.827211	−	0.561892i	$-0.810074\pi$
$229$		−	17.0059i		−	1.12378i	0.827211	−	0.561892i	$-0.189926\pi$
$230$	−0.533289	−	1.28685i	−0.0351641	−	0.0848526i
$231$	4.63128			0.304716
$232$	11.4638	+	4.74161i	0.752638	+	0.311302i
$233$	6.93047			0.454030			0.227015	−	0.973891i	$-0.427103\pi$
$233$	6.93047			0.454030			0.227015	+	0.973891i	$0.427103\pi$
$234$	−0.982069	−	2.36978i	−0.0641998	−	0.154917i
$235$			6.51122i			0.424745i
$236$	3.76762	+	3.76506i	0.245251	+	0.245084i
$237$		−	10.7324i		−	0.697144i
$238$	−10.0900	+	4.18143i	−0.654038	+	0.271042i
$239$	24.7719			1.60236			0.801179	−	0.598424i	$-0.204206\pi$
$239$	24.7719			1.60236			0.801179	+	0.598424i	$0.204206\pi$
$240$	−0.00243948	−	3.57665i	−0.000157468	−	0.230872i
$241$	−12.7922			−0.824015			−0.412008	−	0.911180i	$-0.635172\pi$
$241$	−12.7922			−0.824015			−0.412008	+	0.911180i	$0.635172\pi$
$242$	−9.25387	+	3.83493i	−0.594861	+	0.246519i
$243$			15.4362i			0.990231i
$244$	5.80724	+	5.80328i	0.371770	+	0.371517i
$245$		−	0.821018i		−	0.0524529i
$246$	−4.65152	−	11.2244i	−0.296570	−	0.715638i
$247$	−6.99637			−0.445168
$248$	−7.89303	+	19.0831i	−0.501208	+	1.21178i
$249$	0.127009			0.00804888
$250$	−4.14551	−	10.0033i	−0.262185	−	0.632666i
$251$			21.0744i			1.33021i	0.746751	+	0.665104i	$0.231613\pi$
$251$			21.0744i			1.33021i	−0.746751	+	0.665104i	$0.768387\pi$
$252$	−2.56434	+	2.56609i	−0.161538	+	0.161648i
$253$			5.10168i			0.320740i
$254$	−11.2313	+	4.65441i	−0.704715	+	0.292043i
$255$	6.90571			0.432453
$256$	−16.0000	+	0.0218258i	−0.999999	+	0.00136411i
$257$	−27.6467			−1.72455			−0.862277	−	0.506437i	$-0.830962\pi$
$257$	−27.6467			−1.72455			−0.862277	+	0.506437i	$0.830962\pi$
$258$	6.32548	−	2.62136i	0.393807	−	0.163199i
$259$			1.17474i			0.0729950i
$260$	−1.16070	+	1.16149i	−0.0719834	+	0.0720326i
$261$			7.95585i			0.492455i
$262$	4.37199	+	10.5498i	0.270103	+	0.651771i
$263$	−20.1422			−1.24202			−0.621012	−	0.783801i	$-0.713278\pi$
$263$	−20.1422			−1.24202			−0.621012	+	0.783801i	$0.713278\pi$
$264$	−5.00667	+	12.1047i	−0.308139	+	0.744991i
$265$	1.78085			0.109397
$266$	3.78797	+	9.14055i	0.232255	+	0.560443i
$267$		−	8.59094i		−	0.525757i
$268$	19.1084	+	19.0954i	1.16723	+	1.16644i
$269$		−	1.78279i		−	0.108699i	−0.998522	−	0.0543494i	$-0.982692\pi$
$269$		−	1.78279i		−	0.108699i	0.998522	−	0.0543494i	$-0.0173085\pi$
$270$	5.62357	−	2.33048i	0.342239	−	0.141829i
$271$	20.6554			1.25473			0.627363	−	0.778727i	$-0.284134\pi$
$271$	20.6554			1.25473			0.627363	+	0.778727i	$0.284134\pi$
$272$	−0.0210703	−	30.8924i	−0.00127758	−	1.87313i
$273$	−1.08909			−0.0659148
$274$	6.30054	−	2.61103i	0.380630	−	0.157738i
$275$			18.3957i			1.10930i
$276$	1.84844	+	1.84718i	0.111263	+	0.111187i
$277$			14.7007i			0.883279i	0.897193	+	0.441639i	$0.145603\pi$
$277$			14.7007i			0.883279i	−0.897193	+	0.441639i	$0.854397\pi$
$278$	3.51241	+	8.47561i	0.210660	+	0.508333i
$279$	−13.2435			−0.792870
$280$	2.14588	+	0.887565i	0.128241	+	0.0530422i
$281$	25.0168			1.49237			0.746187	−	0.665736i	$-0.231882\pi$
$281$	25.0168			1.49237			0.746187	+	0.665736i	$0.231882\pi$
$282$	−4.67636	−	11.2843i	−0.278473	−	0.671969i
$283$		−	3.36082i		−	0.199780i	−0.994998	−	0.0998901i	$-0.968151\pi$
$283$		−	3.36082i		−	0.199780i	0.994998	−	0.0998901i	$-0.0318491\pi$
$284$	18.2445	−	18.2569i	1.08261	−	1.08335i
$285$		−	6.25589i		−	0.370567i
$286$	5.55567	−	2.30234i	0.328513	−	0.136140i
$287$	7.88855			0.465646
$288$	−3.93474	−	9.47644i	−0.231857	−	0.558405i
$289$	42.6463			2.50861
$290$	4.70468	−	1.94968i	0.276268	−	0.114489i
$291$			3.98058i			0.233345i
$292$	−8.39227	+	8.39799i	−0.491120	+	0.491455i
$293$		−	5.58713i		−	0.326404i	−0.986593	−	0.163202i	$-0.947818\pi$
$293$		−	5.58713i		−	0.326404i	0.986593	−	0.163202i	$-0.0521822\pi$
$294$	0.589655	+	1.42287i	0.0343894	+	0.0829832i
$295$	2.18654			0.127305
$296$	−3.07040	−	1.26996i	−0.178463	−	0.0738150i
$297$	−22.2944			−1.29365
$298$	−8.37723	−	20.2147i	−0.485280	−	1.17100i
$299$		−	1.19971i		−	0.0693811i
$300$	6.66510	+	6.66056i	0.384810	+	0.384548i
$301$			4.44559i			0.256239i
$302$	−19.4164	+	8.04640i	−1.11729	+	0.463018i
$303$	11.8851			0.682780
$304$	−27.9855	+	0.0190876i	−1.60508	+	0.00109475i
$305$	3.37022			0.192978
$306$	18.3021	−	7.58462i	1.04626	−	0.433584i
$307$		−	10.4066i		−	0.593936i	−0.954888	−	0.296968i	$-0.904025\pi$
$307$		−	10.4066i		−	0.593936i	0.954888	−	0.296968i	$-0.0959754\pi$
$308$	−6.01589	−	6.01178i	−0.342787	−	0.342553i
$309$		−	9.60624i		−	0.546480i
$310$	3.24550	+	7.83155i	0.184332	+	0.444802i
$311$	12.9836			0.736231			0.368116	−	0.929780i	$-0.380003\pi$
$311$	12.9836			0.736231			0.368116	+	0.929780i	$0.380003\pi$
$312$	1.17737	−	2.84654i	0.0666553	−	0.161153i
$313$	4.51505			0.255206			0.127603	−	0.991825i	$-0.459272\pi$
$313$	4.51505			0.255206			0.127603	+	0.991825i	$0.459272\pi$
$314$	3.47966	+	8.39660i	0.196369	+	0.473848i
$315$			1.48923i			0.0839084i
$316$	−13.9315	+	13.9411i	−0.783711	+	0.784245i
$317$		−	11.5339i		−	0.647808i	−0.946090	−	0.323904i	$-0.895005\pi$
$317$		−	11.5339i		−	0.647808i	0.946090	−	0.323904i	$-0.104995\pi$
$318$	−3.08631	+	1.27901i	−0.173072	+	0.0717233i
$319$	−18.6515			−1.04429
$320$	−4.63962	+	4.64913i	−0.259363	+	0.259894i
$321$	9.97872			0.556958
$322$	−1.56739	+	0.649547i	−0.0873471	+	0.0361978i
$323$		−	54.0336i		−	3.00651i
$324$	−0.379165	+	0.379424i	−0.0210647	+	0.0210791i
$325$		−	4.32593i		−	0.239959i
$326$	5.80005	+	13.9958i	0.321235	+	0.775156i
$327$	−20.5302			−1.13532
$328$	−8.52796	+	20.6181i	−0.470878	+	1.13845i
$329$	7.93067			0.437232
$330$	2.05867	+	4.96767i	0.113326	+	0.273461i
$331$		−	32.4444i		−	1.78330i	−0.452721	−	0.891652i	$-0.649547\pi$
$331$		−	32.4444i		−	1.78330i	0.452721	−	0.891652i	$-0.350453\pi$
$332$	−0.164981	−	0.164868i	−0.00905450	−	0.00904833i
$333$		−	2.13084i		−	0.116769i
$334$	−9.21807	+	3.82009i	−0.504390	+	0.209026i
$335$	11.0896			0.605888
$336$	−4.35637	+	0.00297128i	−0.237659	+	0.000162097i
$337$	0.473846			0.0258120			0.0129060	−	0.999917i	$-0.495892\pi$
$337$	0.473846			0.0258120			0.0129060	+	0.999917i	$0.495892\pi$
$338$	−1.30647	+	0.541419i	−0.0710626	+	0.0294493i
$339$		−	14.4267i		−	0.783553i
$340$	−8.97031	−	8.96419i	−0.486483	−	0.486151i
$341$		−	31.0479i		−	1.68134i
$342$	−6.87091	−	16.5799i	−0.371536	−	0.896536i
$343$	−1.00000			−0.0539949
$344$	−11.6193	−	4.80593i	−0.626473	−	0.259118i
$345$	1.07274			0.0577543
$346$	−1.29206	−	3.11780i	−0.0694615	−	0.167614i
$347$		−	23.2227i		−	1.24666i	−0.781959	−	0.623330i	$-0.785779\pi$
$347$		−	23.2227i		−	1.24666i	0.781959	−	0.623330i	$-0.214221\pi$
$348$	−6.75319	+	6.75780i	−0.362009	+	0.362256i
$349$			30.4602i			1.63050i	0.579111	+	0.815249i	$0.303400\pi$
$349$			30.4602i			1.63050i	−0.579111	+	0.815249i	$0.696600\pi$
$350$	−5.65170	+	2.34214i	−0.302096	+	0.125193i
$351$	5.24276			0.279838
$352$	22.2164	−	9.22452i	1.18414	−	0.491669i
$353$	28.9690			1.54186			0.770932	−	0.636917i	$-0.219791\pi$
$353$	28.9690			1.54186			0.770932	+	0.636917i	$0.219791\pi$
$354$	−3.78938	+	1.57037i	−0.201403	+	0.0834643i
$355$		−	10.5954i		−	0.562345i
$356$	−11.1518	+	11.1594i	−0.591042	+	0.591445i
$357$		−	8.41116i		−	0.445166i
$358$	−3.26421	−	7.87670i	−0.172519	−	0.416297i
$359$	−9.56825			−0.504993			−0.252496	−	0.967598i	$-0.581252\pi$
$359$	−9.56825			−0.504993			−0.252496	+	0.967598i	$0.581252\pi$
$360$	−3.89236	−	1.60994i	−0.205145	−	0.0848511i
$361$	−29.9491			−1.57627
$362$	−12.2323	−	29.5172i	−0.642916	−	1.55139i
$363$		−	7.71415i		−	0.404888i
$364$	1.41470	+	1.41373i	0.0741502	+	0.0740996i
$365$			4.87377i			0.255105i
$366$	−5.84077	+	2.42049i	−0.305302	+	0.126521i
$367$	−0.357031			−0.0186369			−0.00931844	−	0.999957i	$-0.502966\pi$
$367$	−0.357031			−0.0186369			−0.00931844	+	0.999957i	$0.502966\pi$
$368$	−0.00327308	−	4.79885i	−0.000170621	−	0.250157i
$369$	−14.3089			−0.744891
$370$	−1.26007	+	0.522190i	−0.0655080	+	0.0271474i
$371$		−	2.16908i		−	0.112613i
$372$	−11.2492	−	11.2416i	−0.583246	−	0.582848i
$373$		−	5.79194i		−	0.299895i	−0.988694	−	0.149948i	$-0.952089\pi$
$373$		−	5.79194i		−	0.299895i	0.988694	−	0.149948i	$-0.0479105\pi$
$374$	17.7812	+	42.9070i	0.919445	+	2.21867i
$375$	8.33890			0.430619
$376$	−8.57349	+	20.7282i	−0.442144	+	1.06898i
$377$	4.38610			0.225895
$378$	−2.83853	−	6.84951i	−0.145998	−	0.352301i
$379$		−	8.23433i		−	0.422969i	−0.977381	−	0.211485i	$-0.932170\pi$
$379$		−	8.23433i		−	0.422969i	0.977381	−	0.211485i	$-0.0678298\pi$
$380$	−8.12067	+	8.12621i	−0.416582	+	0.416866i
$381$		−	9.36257i		−	0.479659i
$382$	26.5039	−	10.9836i	1.35606	−	0.561968i
$383$	−4.13473			−0.211275			−0.105637	−	0.994405i	$-0.533688\pi$
$383$	−4.13473			−0.211275			−0.105637	+	0.994405i	$0.533688\pi$
$384$	4.70171	−	11.3894i	0.239933	−	0.581211i
$385$	−3.49131			−0.177934
$386$	−25.2652	+	10.4702i	−1.28596	+	0.532920i
$387$		−	8.06376i		−	0.409904i
$388$	5.16712	−	5.17064i	0.262321	−	0.262500i
$389$			28.7869i			1.45955i	0.683685	+	0.729777i	$0.260376\pi$
$389$			28.7869i			1.45955i	−0.683685	+	0.729777i	$0.739624\pi$
$390$	−0.484117	−	1.16820i	−0.0245142	−	0.0591540i
$391$	9.26550			0.468576
$392$	1.08106	−	2.61368i	0.0546015	−	0.132011i
$393$	−8.79448			−0.443623
$394$	1.12114	+	2.70538i	0.0564824	+	0.136295i
$395$			8.09068i			0.407086i
$396$	10.9121	+	10.9047i	0.548353	+	0.547979i
$397$			28.7694i			1.44389i	0.691948	+	0.721947i	$0.256753\pi$
$397$			28.7694i			1.44389i	−0.691948	+	0.721947i	$0.743247\pi$
$398$	21.8376	−	9.04978i	1.09462	−	0.453624i
$399$	−7.61968			−0.381461
$400$	−0.0118021	−	17.3037i	−0.000590105	−	0.865186i
$401$	27.5367			1.37512			0.687559	−	0.726128i	$-0.258682\pi$
$401$	27.5367			1.37512			0.687559	+	0.726128i	$0.258682\pi$
$402$	−19.2188	+	7.96453i	−0.958547	+	0.397235i
$403$			7.30123i			0.363700i
$404$	−15.4383	−	15.4278i	−0.768086	−	0.767562i
$405$			0.220198i			0.0109417i
$406$	−2.37471	−	5.73030i	−0.117855	−	0.284390i
$407$	4.99550			0.247618
$408$	21.9841	+	9.09293i	1.08837	+	0.450167i
$409$	6.83003			0.337723			0.168862	−	0.985640i	$-0.445991\pi$
$409$	6.83003			0.337723			0.168862	+	0.985640i	$0.445991\pi$
$410$	3.50657	+	8.46154i	0.173177	+	0.417886i
$411$			5.25222i			0.259073i
$412$	−12.4697	+	12.4782i	−0.614338	+	0.614757i
$413$		−	2.66321i		−	0.131048i
$414$	2.84305	−	1.17820i	0.139728	−	0.0579053i
$415$	−0.0957465			−0.00470001
$416$	−5.22440	+	2.16924i	−0.256147	+	0.106356i
$417$	−7.06538			−0.345993
$418$	38.8695	−	16.1080i	1.90117	−	0.787870i
$419$		−	16.0140i		−	0.782335i	−0.920319	−	0.391168i	$-0.872071\pi$
$419$		−	16.0140i		−	0.782335i	0.920319	−	0.391168i	$-0.127929\pi$
$420$	−1.26411	+	1.26497i	−0.0616821	+	0.0617242i
$421$			35.1473i			1.71298i	0.516167	+	0.856488i	$0.327358\pi$
$421$			35.1473i			1.71298i	−0.516167	+	0.856488i	$0.672642\pi$
$422$	−8.05680	−	19.4415i	−0.392199	−	0.946396i
$423$	−14.3853			−0.699436
$424$	5.66929	+	2.34490i	0.275325	+	0.113878i
$425$	33.4096			1.62060
$426$	7.60961	+	18.3624i	0.368687	+	0.889659i
$427$		−	4.10494i		−	0.198652i
$428$	−12.9620	−	12.9532i	−0.626544	−	0.626117i
$429$			4.63128i			0.223600i
$430$	−4.76850	+	1.97613i	−0.229957	+	0.0952974i
$431$	−21.8328			−1.05165			−0.525825	−	0.850593i	$-0.676243\pi$
$431$	−21.8328			−1.05165			−0.525825	+	0.850593i	$0.676243\pi$
$432$	20.9710	−	0.0143034i	1.00897	−	0.000688173i
$433$	−3.97693			−0.191119			−0.0955595	−	0.995424i	$-0.530464\pi$
$433$	−3.97693			−0.191119			−0.0955595	+	0.995424i	$0.530464\pi$
$434$	9.53884	−	3.95302i	0.457879	−	0.189751i
$435$			3.92189i			0.188040i
$436$	26.6680	+	26.6499i	1.27717	+	1.27630i
$437$		−	8.39362i		−	0.401521i
$438$	−3.50034	−	8.44649i	−0.167253	−	0.403589i
$439$	11.5199			0.549815			0.274907	−	0.961471i	$-0.411353\pi$
$439$	11.5199			0.549815			0.274907	+	0.961471i	$0.411353\pi$
$440$	3.77430	−	9.12518i	0.179933	−	0.435026i
$441$	1.81388			0.0863752
$442$	−4.18143	−	10.0900i	−0.198890	−	0.479933i
$443$		−	1.93978i		−	0.0921616i	−0.998938	−	0.0460808i	$-0.985327\pi$
$443$		−	1.93978i		−	0.0921616i	0.998938	−	0.0460808i	$-0.0146732\pi$
$444$	1.80873	−	1.80997i	0.0858386	−	0.0858972i
$445$			6.47633i			0.307007i
$446$	31.2959	−	12.9695i	1.48191	−	0.614121i
$447$	16.8512			0.797035
$448$	5.66264	+	5.65106i	0.267535	+	0.266988i
$449$	−7.31339			−0.345140			−0.172570	−	0.984997i	$-0.555207\pi$
$449$	−7.31339			−0.345140			−0.172570	+	0.984997i	$0.555207\pi$
$450$	10.2515	−	4.24836i	0.483261	−	0.200270i
$451$		−	33.5455i		−	1.57959i
$452$	−18.7271	+	18.7399i	−0.880849	+	0.881450i
$453$		−	16.1857i		−	0.760472i
$454$	8.72488	+	21.0536i	0.409479	+	0.988093i
$455$	0.821018			0.0384899
$456$	8.23730	−	19.9154i	0.385747	−	0.932625i
$457$	−40.3816			−1.88897			−0.944486	−	0.328553i	$-0.893439\pi$
$457$	−40.3816			−1.88897			−0.944486	+	0.328553i	$0.893439\pi$
$458$	−9.20733	−	22.2177i	−0.430230	−	1.03817i
$459$			40.4903i			1.88993i
$460$	−1.39345	−	1.39250i	−0.0649701	−	0.0649258i
$461$		−	37.1316i		−	1.72939i	−0.502298	−	0.864695i	$-0.667512\pi$
$461$		−	37.1316i		−	1.72939i	0.502298	−	0.864695i	$-0.332488\pi$
$462$	6.05063	−	2.50746i	0.281501	−	0.116658i
$463$	17.4641			0.811625			0.405813	−	0.913956i	$-0.366989\pi$
$463$	17.4641			0.811625			0.405813	+	0.913956i	$0.366989\pi$
$464$	17.5444	−	0.0119662i	0.814477	−	0.000555519i
$465$	−6.52849			−0.302751
$466$	9.05446	−	3.75229i	0.419440	−	0.173821i
$467$			21.0788i			0.975412i	0.873008	+	0.487706i	$0.162166\pi$
$467$			21.0788i			0.975412i	−0.873008	+	0.487706i	$0.837834\pi$
$468$	−2.56609	−	2.56434i	−0.118617	−	0.118537i
$469$		−	13.5071i		−	0.623700i
$470$	3.52530	+	8.50672i	0.162610	+	0.392386i
$471$	−6.99952			−0.322521
$472$	6.96076	+	2.87907i	0.320395	+	0.132520i
$473$	18.9045			0.869231
$474$	−5.81072	−	14.0216i	−0.266895	−	0.644032i
$475$		−	30.2658i		−	1.38869i
$476$	−10.9184	+	10.9258i	−0.500444	+	0.500785i
$477$			3.93445i			0.180146i
$478$	32.3637	−	13.4120i	1.48028	−	0.613449i
$479$	16.2733			0.743547			0.371774	−	0.928323i	$-0.378750\pi$
$479$	16.2733			0.743547			0.371774	+	0.928323i	$0.378750\pi$
$480$	−1.93965	−	4.67147i	−0.0885327	−	0.213222i
$481$	−1.17474			−0.0535637
$482$	−16.7126	+	6.92591i	−0.761237	+	0.315467i
$483$		−	1.30660i		−	0.0594522i
$484$	−10.0136	+	10.0204i	−0.455164	+	0.455475i
$485$		−	3.00078i		−	0.136258i
$486$	8.35743	+	20.1669i	0.379101	+	0.914789i
$487$	−5.02285			−0.227607			−0.113804	−	0.993503i	$-0.536303\pi$
$487$	−5.02285			−0.227607			−0.113804	+	0.993503i	$0.536303\pi$
$488$	10.7290	+	4.43766i	0.485678	+	0.200884i
$489$	−11.6671			−0.527604
$490$	−0.444514	−	1.07264i	−0.0200811	−	0.0484567i
$491$			6.90139i			0.311456i	0.987800	+	0.155728i	$0.0497723\pi$
$491$			6.90139i			0.311456i	−0.987800	+	0.155728i	$0.950228\pi$
$492$	−12.1542	−	12.1459i	−0.547951	−	0.547578i
$493$			33.8743i			1.52562i
$494$	−9.14055	+	3.78797i	−0.411253	+	0.170429i
$495$	6.33282			0.284639
$496$	0.0199194	+	29.2049i	0.000894406	+	1.31134i
$497$	−12.9052			−0.578877
$498$	0.165934	−	0.0687651i	0.00743567	−	0.00308144i
$499$			29.0123i			1.29877i	0.760460	+	0.649385i	$0.224973\pi$
$499$			29.0123i			1.29877i	−0.760460	+	0.649385i	$0.775027\pi$
$500$	−10.8320	−	10.8246i	−0.484421	−	0.484090i
$501$		−	7.68431i		−	0.343310i
$502$	11.4101	+	27.5332i	0.509258	+	1.22886i
$503$	11.1548			0.497366			0.248683	−	0.968585i	$-0.420002\pi$
$503$	11.1548			0.497366			0.248683	+	0.968585i	$0.420002\pi$
$504$	−1.96090	+	4.74090i	−0.0873456	+	0.211176i
$505$	−8.95963			−0.398698
$506$	2.76215	+	6.66520i	0.122792	+	0.296304i
$507$		−	1.08909i		−	0.0483683i
$508$	−12.1534	+	12.1617i	−0.539220	+	0.539588i
$509$			2.26769i			0.100514i	0.998736	+	0.0502569i	$0.0160040\pi$
$509$			2.26769i			0.100514i	−0.998736	+	0.0502569i	$0.983996\pi$
$510$	9.02211	−	3.73888i	0.399506	−	0.165561i
$511$	5.93625			0.262604
$512$	−20.8917	+	8.69121i	−0.923291	+	0.384101i
$513$	36.6802			1.61947
$514$	−36.1196	+	14.9684i	−1.59317	+	0.660230i
$515$			7.24171i			0.319108i
$516$	6.84480	−	6.84947i	0.301325	−	0.301531i
$517$		−	33.7246i		−	1.48320i
$518$	0.636028	+	1.53477i	0.0279455	+	0.0674338i
$519$	2.59904			0.114085
$520$	−0.887565	+	2.14588i	−0.0389223	+	0.0941029i
$521$	1.86299			0.0816190			0.0408095	−	0.999167i	$-0.487006\pi$
$521$	1.86299			0.0816190			0.0408095	+	0.999167i	$0.487006\pi$
$522$	4.30745	+	10.3941i	0.188532	+	0.454937i
$523$			25.6906i			1.12337i	0.827351	+	0.561685i	$0.189847\pi$
$523$			25.6906i			1.12337i	−0.827351	+	0.561685i	$0.810153\pi$
$524$	11.4238	+	11.4160i	0.499049	+	0.498709i
$525$		−	4.71133i		−	0.205619i
$526$	−26.3152	+	10.9054i	−1.14740	+	0.475497i
$527$	−56.3881			−2.45630
$528$	0.0126352	+	18.5251i	0.000549875	+	0.806202i
$529$	−21.5607			−0.937421
$530$	2.32663	−	0.964188i	0.101063	−	0.0418817i
$531$			4.83073i			0.209636i
$532$	9.89773	+	9.89098i	0.429121	+	0.428828i
$533$			7.88855i			0.341691i
$534$	−4.65130	−	11.2238i	−0.201281	−	0.485702i
$535$	−7.52251			−0.325227
$536$	35.3032	+	14.6019i	1.52487	+	0.630707i
$537$	6.56613			0.283349
$538$	−0.965238	−	2.32917i	−0.0416144	−	0.100418i
$539$			4.25242i			0.183165i
$540$	6.08526	−	6.08941i	0.261868	−	0.262046i
$541$			15.3945i			0.661860i	0.943655	+	0.330930i	$0.107362\pi$
$541$			15.3945i			0.661860i	−0.943655	+	0.330930i	$0.892638\pi$
$542$	26.9856	−	11.1832i	1.15913	−	0.480360i
$543$	24.6059			1.05594
$544$	−16.7533	−	40.3486i	−0.718290	−	1.72993i
$545$	15.4768			0.662952
$546$	−1.42287	+	0.589655i	−0.0608930	+	0.0252349i
$547$		−	39.7381i		−	1.69908i	−0.527526	−	0.849539i	$-0.676880\pi$
$547$		−	39.7381i		−	1.69908i	0.527526	−	0.849539i	$-0.323120\pi$
$548$	6.81781	−	6.82247i	0.291243	−	0.291441i
$549$			7.44586i			0.317782i
$550$	9.95977	+	24.0334i	0.424686	+	1.02479i
$551$	30.6867			1.30730
$552$	3.41502	+	1.41250i	0.145353	+	0.0601201i
$553$	9.85445			0.419054
$554$	7.95923	+	19.2060i	0.338155	+	0.815985i
$555$		−	1.05041i		−	0.0445875i
$556$	9.17771	+	9.17145i	0.389222	+	0.388956i
$557$			2.97439i			0.126029i	0.998013	+	0.0630144i	$0.0200714\pi$
$557$			2.97439i			0.126029i	−0.998013	+	0.0630144i	$0.979929\pi$
$558$	−17.3023	+	7.17031i	−0.732465	+	0.303543i
$559$	−4.44559			−0.188028
$560$	3.28407	−	0.00223992i	0.138777	−	9.46539e-5i
$561$	−35.7678			−1.51012
$562$	32.6837	−	13.5445i	1.37868	−	0.571342i
$563$		−	31.4342i		−	1.32479i	−0.749153	−	0.662397i	$-0.769539\pi$
$563$		−	31.4342i		−	1.32479i	0.749153	−	0.662397i	$-0.230461\pi$
$564$	−12.2190	−	12.2107i	−0.514515	−	0.514164i
$565$			10.8757i			0.457543i
$566$	−1.81961	−	4.39082i	−0.0764840	−	0.184560i
$567$	0.268202			0.0112634
$568$	13.9512	−	33.7300i	0.585381	−	1.41528i
$569$	−3.44231			−0.144309			−0.0721545	−	0.997393i	$-0.522987\pi$
$569$	−3.44231			−0.144309			−0.0721545	+	0.997393i	$0.522987\pi$
$570$	−3.38706	−	8.17314i	−0.141868	−	0.342335i
$571$		−	19.1352i		−	0.800783i	−0.916344	−	0.400392i	$-0.868874\pi$
$571$		−	19.1352i		−	0.800783i	0.916344	−	0.400392i	$-0.131126\pi$
$572$	6.01178	−	6.01589i	0.251365	−	0.251537i
$573$			22.0940i			0.922990i
$574$	10.3062	−	4.27101i	0.430171	−	0.178269i
$575$	5.18987			0.216433
$576$	−10.2713	−	10.2503i	−0.427973	−	0.427098i
$577$	−11.2596			−0.468744			−0.234372	−	0.972147i	$-0.575303\pi$
$577$	−11.2596			−0.468744			−0.234372	+	0.972147i	$0.575303\pi$
$578$	55.7161	−	23.0895i	2.31749	−	0.960397i
$579$		−	21.0614i		−	0.875281i
$580$	5.09093	−	5.09441i	0.211389	−	0.211534i
$581$			0.116619i			0.00483819i
$582$	2.15516	+	5.20050i	0.0893342	+	0.215568i
$583$	−9.22386			−0.382013
$584$	−6.41742	+	15.5155i	−0.265555	+	0.642034i
$585$	−1.48923			−0.0615720
$586$	−3.02498	−	7.29943i	−0.124961	−	0.301536i
$587$		−	20.2292i		−	0.834950i	−0.908688	−	0.417475i	$-0.862915\pi$
$587$		−	20.2292i		−	0.834950i	0.908688	−	0.417475i	$-0.137085\pi$
$588$	1.54073	+	1.53968i	0.0635388	+	0.0634954i
$589$			51.0821i			2.10480i
$590$	2.85665	−	1.18383i	0.117606	−	0.0487376i
$591$	−2.25524			−0.0927681
$592$	−4.69897	+	0.00320496i	−0.193126	+	0.000131723i
$593$	0.885697			0.0363712			0.0181856	−	0.999835i	$-0.494211\pi$
$593$	0.885697			0.0363712			0.0181856	+	0.999835i	$0.494211\pi$
$594$	−29.1270	+	12.0706i	−1.19510	+	0.495263i
$595$			6.34080i			0.259948i
$596$	−21.8892	−	21.8743i	−0.896617	−	0.896005i
$597$			18.2041i			0.745043i
$598$	−0.649547	−	1.56739i	−0.0265619	−	0.0640953i
$599$	4.00642			0.163698			0.0818489	−	0.996645i	$-0.473918\pi$
$599$	4.00642			0.163698			0.0818489	+	0.996645i	$0.473918\pi$
$600$	12.3139	+	5.09321i	0.502713	+	0.207930i
$601$	21.7314			0.886441			0.443220	−	0.896413i	$-0.353836\pi$
$601$	21.7314			0.886441			0.443220	+	0.896413i	$0.353836\pi$
$602$	2.40693	+	5.80803i	0.0980990	+	0.236718i
$603$			24.5003i			0.997728i
$604$	−21.0104	+	21.0248i	−0.854902	+	0.855485i
$605$			5.81536i			0.236428i
$606$	15.5275	−	6.43480i	0.630762	−	0.261396i
$607$	−15.5334			−0.630482			−0.315241	−	0.949012i	$-0.602085\pi$
$607$	−15.5334			−0.630482			−0.315241	+	0.949012i	$0.602085\pi$
$608$	−36.5518	+	15.1768i	−1.48237	+	0.615500i
$609$	4.77686			0.193568
$610$	4.40310	−	1.82470i	0.178276	−	0.0738801i
$611$			7.93067i			0.320841i
$612$	19.8046	−	19.8182i	0.800555	−	0.801101i
$613$		−	43.1992i		−	1.74480i	−0.488792	−	0.872401i	$-0.662562\pi$
$613$		−	43.1992i		−	1.74480i	0.488792	−	0.872401i	$-0.337438\pi$
$614$	−5.63433	−	13.5959i	−0.227383	−	0.548686i
$615$	−7.05365			−0.284431
$616$	−11.1145	−	4.59711i	−0.447815	−	0.185223i
$617$	−29.6410			−1.19330			−0.596651	−	0.802501i	$-0.703502\pi$
$617$	−29.6410			−1.19330			−0.596651	+	0.802501i	$0.703502\pi$
$618$	−5.20100	−	12.5503i	−0.209215	−	0.504846i
$619$		−	26.9298i		−	1.08240i	−0.840893	−	0.541201i	$-0.817970\pi$
$619$		−	26.9298i		−	1.08240i	0.840893	−	0.541201i	$-0.182030\pi$
$620$	8.48030	+	8.47452i	0.340577	+	0.340345i
$621$			6.28980i			0.252401i
$622$	16.9627	−	7.02956i	0.680141	−	0.281860i
$623$	7.88817			0.316033
$624$	−0.00297128	−	4.35637i	−0.000118947	−	0.174394i
$625$	15.3433			0.613733
$626$	5.89878	−	2.44453i	0.235763	−	0.0977032i
$627$			32.4021i			1.29402i
$628$	9.09216	+	9.08596i	0.362817	+	0.362569i
$629$		−	9.07266i		−	0.361751i
$630$	0.806296	+	1.94563i	0.0321236	+	0.0775158i
$631$	−18.9779			−0.755497			−0.377749	−	0.925908i	$-0.623302\pi$
$631$	−18.9779			−0.755497			−0.377749	+	0.925908i	$0.623302\pi$
$632$	−10.6532	+	25.7564i	−0.423762	+	1.02453i
$633$	16.2067			0.644157
$634$	−6.24466	−	15.0687i	−0.248007	−	0.598454i
$635$			7.05803i			0.280089i
$636$	−3.33970	+	3.34198i	−0.132428	+	0.132518i
$637$		−	1.00000i		−	0.0396214i
$638$	−24.3677	+	10.0983i	−0.964726	+	0.399795i
$639$	23.4085			0.926025
$640$	−3.54441	+	8.58593i	−0.140105	+	0.339389i
$641$	17.0366			0.672907			0.336453	−	0.941700i	$-0.390773\pi$
$641$	17.0366			0.672907			0.336453	+	0.941700i	$0.390773\pi$
$642$	13.0369	−	5.40267i	0.514526	−	0.213226i
$643$			12.9266i			0.509774i	0.966971	+	0.254887i	$0.0820383\pi$
$643$			12.9266i			0.509774i	−0.966971	+	0.254887i	$0.917962\pi$
$644$	−1.69607	+	1.69723i	−0.0668345	+	0.0668801i
$645$		−	3.97508i		−	0.156519i
$646$	−29.2548	−	70.5934i	−1.15102	−	2.77746i
$647$	−9.64399			−0.379144			−0.189572	−	0.981867i	$-0.560710\pi$
$647$	−9.64399			−0.379144			−0.189572	+	0.981867i	$0.560710\pi$
$648$	−0.289941	+	0.700993i	−0.0113900	+	0.0275376i
$649$	−11.3251			−0.444548
$650$	−2.34214	−	5.65170i	−0.0918663	−	0.221678i
$651$			7.95170i			0.311652i
$652$	15.1552	+	15.1449i	0.593523	+	0.593118i
$653$			33.5932i			1.31460i	0.753628	+	0.657301i	$0.228302\pi$
$653$			33.5932i			1.31460i	−0.753628	+	0.657301i	$0.771698\pi$
$654$	−26.8221	+	11.1154i	−1.04883	+	0.434647i
$655$	6.62977			0.259047
$656$	0.0215217	+	31.5542i	0.000840282	+	1.23198i
$657$	−10.7676			−0.420086
$658$	10.3612	−	4.29381i	0.403921	−	0.167390i
$659$		−	14.5740i		−	0.567722i	−0.958865	−	0.283861i	$-0.908385\pi$
$659$		−	14.5740i		−	0.567722i	0.958865	−	0.283861i	$-0.0916154\pi$
$660$	5.37918	+	5.37552i	0.209384	+	0.209242i
$661$			42.0869i			1.63699i	0.574513	+	0.818496i	$0.305192\pi$
$661$			42.0869i			1.63699i	−0.574513	+	0.818496i	$0.694808\pi$
$662$	−17.5660	−	42.3876i	−0.682722	−	1.64744i
$663$	8.41116			0.326663
$664$	−0.304806	−	0.126072i	−0.0118288	−	0.00489254i
$665$	5.74414			0.222748
$666$	−1.15368	−	2.78388i	−0.0447041	−	0.107873i
$667$			5.26205i			0.203747i
$668$	−9.97487	+	9.98168i	−0.385939	+	0.386203i
$669$			26.0887i			1.00865i
$670$	14.4882	−	6.00410i	0.559728	−	0.231959i
$671$	−17.4559			−0.673879
$672$	−5.68985	+	2.36250i	−0.219491	+	0.0911354i
$673$	−22.5349			−0.868655			−0.434327	−	0.900755i	$-0.643014\pi$
$673$	−22.5349			−0.868655			−0.434327	+	0.900755i	$0.643014\pi$
$674$	0.619066	−	0.256549i	0.0238455	−	0.00988191i
$675$			22.6798i			0.872946i
$676$	−1.41373	+	1.41470i	−0.0543743	+	0.0544114i
$677$			26.7445i			1.02787i	0.857828	+	0.513937i	$0.171813\pi$
$677$			26.7445i			1.02787i	−0.857828	+	0.513937i	$0.828187\pi$
$678$	−7.81091	−	18.8481i	−0.299976	−	0.723858i
$679$	−3.65495			−0.140264
$680$	−16.5728	−	6.85476i	−0.635539	−	0.262868i
$681$	−17.5505			−0.672538
$682$	−16.8099	−	40.5632i	−0.643685	−	1.55324i
$683$		−	42.1268i		−	1.61194i	−0.591957	−	0.805969i	$-0.701645\pi$
$683$		−	42.1268i		−	1.61194i	0.591957	−	0.805969i	$-0.298355\pi$
$684$	−17.9533	−	17.9411i	−0.686461	−	0.685993i
$685$		−	3.95941i		−	0.151281i
$686$	−1.30647	+	0.541419i	−0.0498813	+	0.0206715i
$687$	18.5210			0.706621
$688$	−17.7823	+	0.0121286i	−0.677946	+	0.000462397i
$689$	2.16908			0.0826355
$690$	1.40150	−	0.580801i	0.0533542	−	0.0221107i
$691$			11.2462i			0.427826i	0.976853	+	0.213913i	$0.0686209\pi$
$691$			11.2462i			0.427826i	−0.976853	+	0.213913i	$0.931379\pi$
$692$	−3.37607	−	3.37377i	−0.128339	−	0.128252i
$693$		−	7.71338i		−	0.293007i
$694$	−12.5732	−	30.3398i	−0.477272	−	1.15168i
$695$	5.32628			0.202037
$696$	−5.16405	+	12.4852i	−0.195743	+	0.473249i
$697$	−60.9241			−2.30766
$698$	16.4917	+	39.7954i	0.624221	+	1.50628i
$699$			7.54792i			0.285489i
$700$	−6.11570	+	6.11987i	−0.231152	+	0.231310i
$701$			29.6423i			1.11958i	0.828636	+	0.559788i	$0.189117\pi$
$701$			29.6423i			1.11958i	−0.828636	+	0.559788i	$0.810883\pi$
$702$	6.84951	−	2.83853i	0.258518	−	0.107133i
$703$	−8.21893			−0.309983
$704$	24.0307	−	24.0799i	0.905692	−	0.907547i
$705$	−7.09131			−0.267074
$706$	37.8471	−	15.6844i	1.42440	−	0.590289i
$707$			10.9128i			0.410419i
$708$	−4.10049	+	4.10329i	−0.154106	+	0.154211i
$709$		−	28.6567i		−	1.07622i	−0.842873	−	0.538112i	$-0.819138\pi$
$709$		−	28.6567i		−	1.07622i	0.842873	−	0.538112i	$-0.180862\pi$
$710$	−5.73654	−	13.8426i	−0.215289	−	0.519502i
$711$	−17.8748			−0.670357
$712$	−8.52755	+	20.6171i	−0.319583	+	0.772660i
$713$	−8.75937			−0.328041
$714$	−4.55396	−	10.9889i	−0.170428	−	0.411251i
$715$		−	3.49131i		−	0.130568i
$716$	−8.52919	−	8.52338i	−0.318751	−	0.318534i
$717$			26.9788i			1.00754i
$718$	−12.5006	+	5.18043i	−0.466520	+	0.193332i
$719$	13.9213			0.519177			0.259589	−	0.965719i	$-0.416413\pi$
$719$	13.9213			0.519177			0.259589	+	0.965719i	$0.416413\pi$
$720$	−5.95691	+	0.00406294i	−0.222001	+	0.000151417i
$721$	8.82041			0.328489
$722$	−39.1277	+	16.2150i	−1.45618	+	0.603461i
$723$		−	13.9318i		−	0.518130i
$724$	−31.9623	−	31.9405i	−1.18787	−	1.18706i
$725$			18.9739i			0.704674i
$726$	−4.17659	−	10.0783i	−0.155008	−	0.374041i
$727$	−16.2755			−0.603625			−0.301813	−	0.953367i	$-0.597592\pi$
$727$	−16.2755			−0.603625			−0.301813	+	0.953367i	$0.597592\pi$
$728$	2.61368	+	1.08106i	0.0968694	+	0.0400666i
$729$	−17.6160			−0.652445
$730$	2.63875	+	6.36744i	0.0976645	+	0.235669i
$731$		−	34.3337i		−	1.26988i
$732$	−6.32030	+	6.32461i	−0.233605	+	0.233764i
$733$			27.6119i			1.01987i	0.860213	+	0.509934i	$0.170330\pi$
$733$			27.6119i			1.01987i	−0.860213	+	0.509934i	$0.829670\pi$
$734$	−0.466451	+	0.193304i	−0.0172170	+	0.00713496i
$735$	0.894163			0.0329817
$736$	−2.60246	−	6.26778i	−0.0959280	−	0.231033i
$737$	−57.4379			−2.11575
$738$	−18.6941	+	7.74710i	−0.688141	+	0.285175i
$739$			13.5632i			0.498931i	0.968384	+	0.249465i	$0.0802549\pi$
$739$			13.5632i			0.498931i	−0.968384	+	0.249465i	$0.919745\pi$
$740$	−1.36352	+	1.36445i	−0.0501241	+	0.0501583i
$741$		−	7.61968i		−	0.279916i
$742$	−1.17438	−	2.83384i	−0.0431129	−	0.104034i
$743$	39.1021			1.43452			0.717258	−	0.696808i	$-0.245397\pi$
$743$	39.1021			1.43452			0.717258	+	0.696808i	$0.245397\pi$
$744$	−20.7832	−	8.59623i	−0.761949	−	0.315153i
$745$	−12.7034			−0.465416
$746$	−3.13586	−	7.56700i	−0.114812	−	0.277047i
$747$		−	0.211533i		−	0.00773960i
$748$	46.4613	+	46.4296i	1.69879	+	1.69763i
$749$			9.16243i			0.334788i
$750$	10.8945	−	4.51484i	0.397812	−	0.164859i
$751$	−34.5592			−1.26108			−0.630542	−	0.776155i	$-0.717167\pi$
$751$	−34.5592			−1.26108			−0.630542	+	0.776155i	$0.717167\pi$
$752$	0.0216366	+	31.7227i	0.000789007	+	1.15681i
$753$	−22.9520			−0.836418
$754$	5.73030	−	2.37471i	0.208685	−	0.0864820i
$755$			12.2017i			0.444065i
$756$	−7.41690	−	7.41185i	−0.269750	−	0.269566i
$757$			3.50638i			0.127442i	0.997968	+	0.0637208i	$0.0202967\pi$
$757$			3.50638i			0.127442i	−0.997968	+	0.0637208i	$0.979703\pi$
$758$	−4.45822	−	10.7579i	−0.161930	−	0.390745i
$759$	−5.55620			−0.201677
$760$	−6.20973	+	15.0133i	−0.225251	+	0.544591i
$761$	40.0802			1.45290			0.726452	−	0.687217i	$-0.241168\pi$
$761$	40.0802			1.45290			0.726452	+	0.687217i	$0.241168\pi$
$762$	−5.06907	−	12.2319i	−0.183633	−	0.443116i
$763$		−	18.8507i		−	0.682442i
$764$	28.6799	−	28.6994i	1.03760	−	1.03831i
$765$		−	11.5015i		−	0.415836i
$766$	−5.40191	+	2.23862i	−0.195179	+	0.0808847i
$767$	2.66321			0.0961628
$768$	−0.0237703	−	17.4254i	−0.000857736	−	0.628787i
$769$	−18.5422			−0.668648			−0.334324	−	0.942458i	$-0.608508\pi$
$769$	−18.5422			−0.668648			−0.334324	+	0.942458i	$0.608508\pi$
$770$	−4.56130	+	1.89026i	−0.164378	+	0.0681204i
$771$		−	30.1098i		−	1.08438i
$772$	−27.3394	+	27.3581i	−0.983967	+	0.984639i
$773$		−	51.9228i		−	1.86753i	−0.357884	−	0.933766i	$-0.616502\pi$
$773$		−	51.9228i		−	1.86753i	0.357884	−	0.933766i	$-0.383498\pi$
$774$	−4.36587	−	10.5351i	−0.156928	−	0.378675i
$775$	−31.5846			−1.13455
$776$	3.95120	−	9.55287i	0.141840	−	0.342928i
$777$	−1.27940			−0.0458983
$778$	15.5858	+	37.6093i	0.558777	+	1.34836i
$779$			55.1912i			1.97743i
$780$	−1.26497	−	1.26411i	−0.0452932	−	0.0452623i
$781$			54.8783i			1.96370i
$782$	12.1051	−	5.01651i	0.432877	−	0.179390i
$783$	−22.9952			−0.821782
$784$	−0.00272822	−	4.00000i	−9.74365e−5	−	0.142857i
$785$	5.27663			0.188331
$786$	−11.4897	+	4.76150i	−0.409825	+	0.169837i
$787$		−	8.88891i		−	0.316855i	−0.987371	−	0.158428i	$-0.949358\pi$
$787$		−	8.88891i		−	0.316855i	0.987371	−	0.158428i	$-0.0506425\pi$
$788$	2.92948	+	2.92749i	0.104359	+	0.104287i
$789$		−	21.9367i		−	0.780969i
$790$	4.38045	+	10.5702i	0.155849	+	0.376072i
$791$	13.2466			0.470994
$792$	20.1603	+	8.33860i	0.716366	+	0.296299i
$793$	4.10494			0.145771
$794$	15.5763	+	37.5864i	0.552782	+	1.33389i
$795$			1.93951i			0.0687875i
$796$	23.6304	−	23.6465i	0.837558	−	0.838129i
$797$			47.5450i			1.68413i	0.539377	+	0.842065i	$0.318660\pi$
$797$			47.5450i			1.68413i	−0.539377	+	0.842065i	$0.681340\pi$
$798$	−9.95489	+	4.12544i	−0.352399	+	0.146039i
$799$	−61.2494			−2.16685
$800$	−9.38398	−	22.6004i	−0.331774	−	0.799045i
$801$	−14.3082			−0.505555
$802$	35.9759	−	14.9089i	1.27035	−	0.526452i
$803$		−	25.2435i		−	0.890822i
$804$	−20.7967	+	20.8109i	−0.733442	+	0.733942i
$805$			0.984985i			0.0347161i
$806$	3.95302	+	9.53884i	0.139239	+	0.335991i
$807$	1.94163			0.0683484
$808$	−28.5226	−	11.7974i	−1.00342	−	0.415030i
$809$	52.6686			1.85173			0.925865	−	0.377853i	$-0.123338\pi$
$809$	52.6686			1.85173			0.925865	+	0.377853i	$0.123338\pi$
$810$	0.119220	+	0.287683i	0.00418895	+	0.0101081i
$811$			36.7264i			1.28964i	0.764336	+	0.644819i	$0.223067\pi$
$811$			36.7264i			1.28964i	−0.764336	+	0.644819i	$0.776933\pi$
$812$	−6.20499	−	6.20076i	−0.217752	−	0.217604i
$813$			22.4956i			0.788955i
$814$	6.52648	−	2.70466i	0.228753	−	0.0947983i
$815$	8.79530			0.308086
$816$	33.6446	−	0.0229475i	1.17780	−	0.000803324i
$817$	−31.1030			−1.08816
$818$	8.92324	−	3.69791i	0.311994	−	0.129294i
$819$			1.81388i			0.0633821i
$820$	9.16247	+	9.15623i	0.319967	+	0.319749i
$821$		−	33.7305i		−	1.17720i	−0.808424	−	0.588601i	$-0.799679\pi$
$821$		−	33.7305i		−	1.17720i	0.808424	−	0.588601i	$-0.200321\pi$
$822$	2.84365	+	6.86187i	0.0991837	+	0.239335i
$823$	−43.5137			−1.51679			−0.758396	−	0.651794i	$-0.774017\pi$
$823$	−43.5137			−1.51679			−0.758396	+	0.651794i	$0.774017\pi$
$824$	−9.53535	+	23.0537i	−0.332180	+	0.803115i
$825$	−20.0346			−0.697515
$826$	−1.44191	−	3.47940i	−0.0501704	−	0.121064i
$827$		−	26.6864i		−	0.927976i	−0.885841	−	0.463988i	$-0.846418\pi$
$827$		−	26.6864i		−	0.927976i	0.885841	−	0.463988i	$-0.153582\pi$
$828$	3.07647	−	3.07857i	0.106915	−	0.106988i
$829$		−	19.3566i		−	0.672284i	−0.941811	−	0.336142i	$-0.890878\pi$
$829$		−	19.3566i		−	0.672284i	0.941811	−	0.336142i	$-0.109122\pi$
$830$	−0.125090	+	0.0518390i	−0.00434194	+	0.00179936i
$831$	−16.0104			−0.555394
$832$	−5.65106	+	5.66264i	−0.195915	+	0.196317i
$833$	7.72310			0.267590
$834$	−9.23071	+	3.82533i	−0.319633	+	0.132460i
$835$			5.79286i			0.200470i
$836$	42.0606	−	42.0893i	1.45470	−	1.45569i
$837$		−	38.2785i		−	1.32310i
$838$	−8.67028	−	20.9218i	−0.299510	−	0.722732i
$839$	−1.11024			−0.0383296			−0.0191648	−	0.999816i	$-0.506101\pi$
$839$	−1.11024			−0.0383296			−0.0191648	+	0.999816i	$0.506101\pi$
$840$	−0.966640	+	2.33706i	−0.0333523	+	0.0806361i
$841$	9.76217			0.336626
$842$	19.0294	+	45.9190i	0.655797	+	1.58247i
$843$			27.2455i			0.938386i
$844$	−21.0520	−	21.0376i	−0.724638	−	0.724144i
$845$			0.821018i			0.0282439i
$846$	−18.7939	+	7.78846i	−0.646149	+	0.267773i
$847$	7.08311			0.243378
$848$	8.67633	−	0.00591774i	0.297946	−	0.000203216i
$849$	3.66024			0.125619
$850$	43.6487	−	18.0886i	1.49714	−	0.620433i
$851$		−	1.40935i		−	0.0483120i
$852$	19.8835	+	19.8699i	0.681196	+	0.680732i
$853$		−	21.8194i		−	0.747083i	−0.927613	−	0.373542i	$-0.878143\pi$
$853$		−	21.8194i		−	0.747083i	0.927613	−	0.373542i	$-0.121857\pi$
$854$	−2.22249	−	5.36298i	−0.0760520	−	0.183517i
$855$	−10.4192			−0.356328
$856$	−23.9476	−	9.90509i	−0.818514	−	0.338549i
$857$	−3.19913			−0.109280			−0.0546401	−	0.998506i	$-0.517401\pi$
$857$	−3.19913			−0.109280			−0.0546401	+	0.998506i	$0.517401\pi$
$858$	2.50746	+	6.05063i	0.0856033	+	0.206565i
$859$		−	9.52963i		−	0.325147i	−0.986696	−	0.162573i	$-0.948021\pi$
$859$		−	9.52963i		−	0.325147i	0.986696	−	0.162573i	$-0.0519794\pi$
$860$	−5.15999	+	5.16351i	−0.175954	+	0.176074i
$861$			8.59135i			0.292793i
$862$	−28.5239	+	11.8207i	−0.971529	+	0.402615i
$863$	20.7524			0.706420			0.353210	−	0.935544i	$-0.385090\pi$
$863$	20.7524			0.706420			0.353210	+	0.935544i	$0.385090\pi$
$864$	27.3903	−	11.3728i	0.931836	−	0.386910i
$865$	−1.95930			−0.0666183
$866$	−5.19574	+	2.15318i	−0.176558	+	0.0731682i
$867$			46.4457i			1.57738i
$868$	10.3220	−	10.3290i	0.350351	−	0.350590i
$869$		−	41.9053i		−	1.42154i
$870$	2.12338	+	5.12383i	0.0719894	+	0.173714i
$871$	13.5071			0.457671
$872$	49.2698	+	20.3787i	1.66848	+	0.690109i
$873$	6.62964			0.224379
$874$	−4.54447	−	10.9660i	−0.153719	−	0.370931i
$875$			7.65675i			0.258845i
$876$	−9.14618	−	9.13995i	−0.309021	−	0.308810i
$877$			30.9871i			1.04636i	0.852222	+	0.523180i	$0.175255\pi$
$877$			30.9871i			1.04636i	−0.852222	+	0.523180i	$0.824745\pi$
$878$	15.0504	−	6.23709i	0.507927	−	0.210492i
$879$	6.08490			0.205239
$880$	−0.00952508	−	13.9653i	−0.000321091	−	0.470769i
$881$	−48.5264			−1.63490			−0.817448	−	0.576002i	$-0.804612\pi$
$881$	−48.5264			−1.63490			−0.817448	+	0.576002i	$0.804612\pi$
$882$	2.36978	−	0.982069i	0.0797947	−	0.0330680i
$883$			4.37928i			0.147375i	0.997281	+	0.0736873i	$0.0234767\pi$
$883$			4.37928i			0.147375i	−0.997281	+	0.0736873i	$0.976523\pi$
$884$	−10.9258	−	10.9184i	−0.367476	−	0.367225i
$885$			2.38134i			0.0800479i
$886$	−1.05023	−	2.53426i	−0.0352832	−	0.0851402i
$887$	−18.1514			−0.609466			−0.304733	−	0.952438i	$-0.598567\pi$
$887$	−18.1514			−0.609466			−0.304733	+	0.952438i	$0.598567\pi$
$888$	1.38310	−	3.34395i	0.0464140	−	0.112216i
$889$	8.59668			0.288323
$890$	3.50641	+	8.46113i	0.117535	+	0.283618i
$891$		−	1.14051i		−	0.0382084i
$892$	33.8653	−	33.8884i	1.13389	−	1.13467i
$893$			55.4859i			1.85676i
$894$	22.0156	−	9.12357i	0.736313	−	0.305138i
$895$	−4.94991			−0.165457
$896$	10.4577	+	4.31709i	0.349366	+	0.144224i
$897$	1.30660			0.0436260
$898$	−9.55473	+	3.95961i	−0.318845	+	0.132134i
$899$		−	32.0239i		−	1.06806i
$900$	11.0931	−	11.1007i	0.369772	−	0.370024i
$901$			16.7520i			0.558091i
$902$	−18.1621	−	43.8262i	−0.604733	−	1.45925i
$903$	−4.84165			−0.161120
$904$	−14.3203	+	34.6223i	−0.476286	+	1.15152i
$905$	−18.5493			−0.616600
$906$	−8.76326	−	21.1462i	−0.291140	−	0.702535i
$907$			6.96024i			0.231111i	0.993301	+	0.115555i	$0.0368648\pi$
$907$			6.96024i			0.231111i	−0.993301	+	0.115555i	$0.963135\pi$
$908$	22.7976	+	22.7821i	0.756565	+	0.756049i
$909$		−	19.7946i		−	0.656544i
$910$	1.07264	−	0.444514i	0.0355575	−	0.0147355i
$911$	8.32596			0.275851			0.137926	−	0.990443i	$-0.455956\pi$
$911$	8.32596			0.275851			0.137926	+	0.990443i	$0.455956\pi$
$912$	−0.0207882	−	30.4787i	−0.000688366	−	1.00925i
$913$	0.495915			0.0164124
$914$	−52.7574	+	21.8634i	−1.74506	+	0.723176i
$915$			3.67048i			0.121342i
$916$	−24.0582	−	24.0418i	−0.794906	−	0.794364i
$917$		−	8.07506i		−	0.266662i
$918$	21.9222	+	52.8994i	0.723541	+	1.74594i
$919$	48.3183			1.59387			0.796937	−	0.604062i	$-0.206452\pi$
$919$	48.3183			1.59387			0.796937	+	0.604062i	$0.206452\pi$
$920$	−2.57443	−	1.06482i	−0.0848766	−	0.0351062i
$921$	11.3337			0.373459
$922$	−20.1037	−	48.5113i	−0.662081	−	1.59763i
$923$		−	12.9052i		−	0.424780i
$924$	6.54738	−	6.55185i	0.215393	−	0.215540i
$925$		−	5.08186i		−	0.167090i
$926$	22.8163	−	9.45539i	0.749791	−	0.310723i
$927$	−15.9992			−0.525482
$928$	22.9147	−	9.51449i	0.752213	−	0.312328i
$929$	18.2137			0.597572			0.298786	−	0.954320i	$-0.403418\pi$
$929$	18.2137			0.597572			0.298786	+	0.954320i	$0.403418\pi$
$930$	−8.52928	+	3.53465i	−0.279686	+	0.115906i
$931$		−	6.99637i		−	0.229297i
$932$	9.79783	−	9.80451i	0.320938	−	0.321157i
$933$			14.1403i			0.462933i
$934$	11.4125	+	27.5389i	0.373428	+	0.901099i
$935$	26.9638			0.881810
$936$	−4.74090	−	1.96090i	−0.154961	−	0.0640942i
$937$	15.6386			0.510892			0.255446	−	0.966823i	$-0.417778\pi$
$937$	15.6386			0.510892			0.255446	+	0.966823i	$0.417778\pi$
$938$	−7.31300	−	17.6466i	−0.238778	−	0.576183i
$939$			4.91731i			0.160470i
$940$	9.21139	+	9.20511i	0.300443	+	0.300238i
$941$		−	15.5361i		−	0.506463i	−0.967406	−	0.253231i	$-0.918507\pi$
$941$		−	15.5361i		−	0.506463i	0.967406	−	0.253231i	$-0.0814934\pi$
$942$	−9.14467	+	3.78967i	−0.297949	+	0.123474i
$943$	−9.46399			−0.308190
$944$	10.6528	−	0.00726582i	0.346720	−	0.000236482i
$945$	−4.30439			−0.140022
$946$	24.6982	−	10.2353i	0.803008	−	0.332777i
$947$			26.4154i			0.858387i	0.903213	+	0.429193i	$0.141202\pi$
$947$			26.4154i			0.858387i	−0.903213	+	0.429193i	$0.858798\pi$
$948$	−15.1831	−	15.1727i	−0.493124	−	0.492787i
$949$			5.93625i			0.192699i
$950$	−16.3865	−	39.5414i	−0.531647	−	1.28289i
$951$	12.5615			0.407333
$952$	−8.34910	+	20.1857i	−0.270596	+	0.654223i
$953$	−5.50297			−0.178259			−0.0891293	−	0.996020i	$-0.528408\pi$
$953$	−5.50297			−0.178259			−0.0891293	+	0.996020i	$0.528408\pi$
$954$	2.13019	+	5.14025i	0.0689674	+	0.166422i
$955$		−	16.6557i		−	0.538965i
$956$	35.0208	−	35.0447i	1.13265	−	1.13343i
$957$		−	20.3132i		−	0.656633i
$958$	21.2606	−	8.81068i	0.686899	−	0.284660i
$959$	−4.82257			−0.155729
$960$	−5.06332	−	5.05297i	−0.163418	−	0.163084i
$961$	22.3079			0.719610
$962$	−1.53477	+	0.636028i	−0.0494829	+	0.0205064i
$963$		−	16.6195i		−	0.535557i
$964$	−18.0847	+	18.0970i	−0.582468	+	0.582865i
$965$			15.8772i			0.511106i
$966$	−0.707416	−	1.70703i	−0.0227607	−	0.0549228i
$967$	46.1354			1.48362			0.741808	−	0.670613i	$-0.233969\pi$
$967$	46.1354			1.48362			0.741808	+	0.670613i	$0.233969\pi$
$968$	−7.65723	+	18.5130i	−0.246113	+	0.595029i
$969$	58.8476			1.89046
$970$	−1.62468	−	3.92043i	−0.0521653	−	0.125877i
$971$			32.6912i			1.04911i	0.851376	+	0.524555i	$0.175768\pi$
$971$			32.6912i			1.04911i	−0.851376	+	0.524555i	$0.824232\pi$
$972$	21.8375	+	21.8226i	0.700438	+	0.699960i
$973$		−	6.48741i		−	0.207977i
$974$	−6.56221	+	2.71947i	−0.210267	+	0.0871373i
$975$	4.71133			0.150883
$976$	16.4197	−	0.0111992i	0.525583	−	0.000358477i
$977$	11.2814			0.360925			0.180463	−	0.983582i	$-0.442241\pi$
$977$	11.2814			0.360925			0.180463	+	0.983582i	$0.442241\pi$
$978$	−15.2427	+	6.31678i	−0.487408	+	0.201989i
$979$		−	33.5438i		−	1.07207i
$980$	−1.16149	−	1.16070i	−0.0371024	−	0.0370771i
$981$			34.1929i			1.09170i
$982$	3.73655	+	9.01647i	0.119238	+	0.287727i
$983$	18.9215			0.603503			0.301751	−	0.953387i	$-0.402429\pi$
$983$	18.9215			0.603503			0.301751	+	0.953387i	$0.402429\pi$
$984$	−22.4550	−	9.28773i	−0.715841	−	0.296082i
$985$	1.70012			0.0541704
$986$	18.3402	+	44.2557i	0.584070	+	1.40939i
$987$			8.63722i			0.274926i
$988$	−9.89098	+	9.89773i	−0.314674	+	0.314889i
$989$		−	5.33342i		−	0.169593i
$990$	8.27365	−	3.42871i	0.262954	−	0.108972i
$991$	46.8572			1.48847			0.744235	−	0.667918i	$-0.232814\pi$
$991$	46.8572			1.48847			0.744235	+	0.667918i	$0.232814\pi$
$992$	15.8381	+	38.1446i	0.502860	+	1.21109i
$993$	35.3349			1.12132
$994$	−16.8603	+	6.98712i	−0.534775	+	0.221618i
$995$		−	13.7232i		−	0.435056i
$996$	0.179557	−	0.179679i	0.00568947	−	0.00569336i
$997$			21.7174i			0.687797i	0.939007	+	0.343898i	$0.111748\pi$
$997$			21.7174i			0.687797i	−0.939007	+	0.343898i	$0.888252\pi$
$998$	15.7078	+	37.9037i	0.497222	+	1.19982i
$999$	6.15889			0.194859

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	728.2.c.a.365.29	✓	34
4.3	odd	2		2912.2.c.a.1457.13		34
8.3	odd	2		2912.2.c.a.1457.22		34
8.5	even	2	inner	728.2.c.a.365.30	yes	34

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
728.2.c.a.365.29	✓	34	1.1	even	1	trivial
728.2.c.a.365.30	yes	34	8.5	even	2	inner
2912.2.c.a.1457.13		34	4.3	odd	2
2912.2.c.a.1457.22		34	8.3	odd	2

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 728 = 2^{3} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	728.c (of order \(2\), degree \(1\), minimal)

\(f(q)\)	\(=\)	\(q+(1.30647 - 0.541419i) q^{2} +1.08909i q^{3} +(1.41373 - 1.41470i) q^{4} -0.821018i q^{5} +(0.589655 + 1.42287i) q^{6} -1.00000 q^{7} +(1.08106 - 2.61368i) q^{8} +1.81388 q^{9} +(-0.444514 - 1.07264i) q^{10} +4.25242i q^{11} +(1.54073 + 1.53968i) q^{12} -1.00000i q^{13} +(-1.30647 + 0.541419i) q^{14} +0.894163 q^{15} +(-0.00272822 - 4.00000i) q^{16} +7.72310 q^{17} +(2.36978 - 0.982069i) q^{18} -6.99637i q^{19} +(-1.16149 - 1.16070i) q^{20} -1.08909i q^{21} +(2.30234 + 5.55567i) q^{22} +1.19971 q^{23} +(2.84654 + 1.17737i) q^{24} +4.32593 q^{25} +(-0.541419 - 1.30647i) q^{26} +5.24276i q^{27} +(-1.41373 + 1.41470i) q^{28} +4.38610i q^{29} +(1.16820 - 0.484117i) q^{30} -7.30123 q^{31} +(-2.16924 - 5.22440i) q^{32} -4.63128 q^{33} +(10.0900 - 4.18143i) q^{34} +0.821018i q^{35} +(2.56434 - 2.56609i) q^{36} -1.17474i q^{37} +(-3.78797 - 9.14055i) q^{38} +1.08909 q^{39} +(-2.14588 - 0.887565i) q^{40} -7.88855 q^{41} +(-0.589655 - 1.42287i) q^{42} -4.44559i q^{43} +(6.01589 + 6.01178i) q^{44} -1.48923i q^{45} +(1.56739 - 0.649547i) q^{46} -7.93067 q^{47} +(4.35637 - 0.00297128i) q^{48} +1.00000 q^{49} +(5.65170 - 2.34214i) q^{50} +8.41116i q^{51} +(-1.41470 - 1.41373i) q^{52} +2.16908i q^{53} +(2.83853 + 6.84951i) q^{54} +3.49131 q^{55} +(-1.08106 + 2.61368i) q^{56} +7.61968 q^{57} +(2.37471 + 5.73030i) q^{58} +2.66321i q^{59} +(1.26411 - 1.26497i) q^{60} +4.10494i q^{61} +(-9.53884 + 3.95302i) q^{62} -1.81388 q^{63} +(-5.66264 - 5.65106i) q^{64} -0.821018 q^{65} +(-6.05063 + 2.50746i) q^{66} +13.5071i q^{67} +(10.9184 - 10.9258i) q^{68} +1.30660i q^{69} +(0.444514 + 1.07264i) q^{70} +12.9052 q^{71} +(1.96090 - 4.74090i) q^{72} -5.93625 q^{73} +(-0.636028 - 1.53477i) q^{74} +4.71133i q^{75} +(-9.89773 - 9.89098i) q^{76} -4.25242i q^{77} +(1.42287 - 0.589655i) q^{78} -9.85445 q^{79} +(-3.28407 + 0.00223992i) q^{80} -0.268202 q^{81} +(-10.3062 + 4.27101i) q^{82} -0.116619i q^{83} +(-1.54073 - 1.53968i) q^{84} -6.34080i q^{85} +(-2.40693 - 5.80803i) q^{86} -4.77686 q^{87} +(11.1145 + 4.59711i) q^{88} -7.88817 q^{89} +(-0.806296 - 1.94563i) q^{90} +1.00000i q^{91} +(1.69607 - 1.69723i) q^{92} -7.95170i q^{93} +(-10.3612 + 4.29381i) q^{94} -5.74414 q^{95} +(5.68985 - 2.36250i) q^{96} +3.65495 q^{97} +(1.30647 - 0.541419i) q^{98} +7.71338i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 34 q + 2 q^{2} - 2 q^{4} - 6 q^{6} - 34 q^{7} + 8 q^{8} - 26 q^{9} - 4 q^{12} - 2 q^{14} - 8 q^{15} - 6 q^{16} - 20 q^{17} + 14 q^{18} - 4 q^{20} - 10 q^{22} - 20 q^{23} + 10 q^{24} - 22 q^{25} + 2 q^{28}+ \cdots + 2 q^{98}+O(q^{100}) \) 34 * q + 2 * q^2 - 2 * q^4 - 6 * q^6 - 34 * q^7 + 8 * q^8 - 26 * q^9 - 4 * q^12 - 2 * q^14 - 8 * q^15 - 6 * q^16 - 20 * q^17 + 14 * q^18 - 4 * q^20 - 10 * q^22 - 20 * q^23 + 10 * q^24 - 22 * q^25 + 2 * q^28 - 60 * q^30 + 16 * q^31 + 12 * q^32 - 8 * q^33 + 28 * q^34 - 4 * q^36 - 28 * q^38 + 8 * q^39 + 64 * q^40 + 8 * q^41 + 6 * q^42 + 24 * q^44 + 16 * q^46 + 24 * q^48 + 34 * q^49 + 10 * q^50 - 4 * q^52 - 18 * q^54 - 32 * q^55 - 8 * q^56 + 8 * q^57 + 44 * q^58 - 24 * q^60 + 60 * q^62 + 26 * q^63 - 2 * q^64 - 20 * q^65 + 24 * q^66 + 12 * q^68 + 64 * q^71 - 92 * q^72 - 22 * q^74 + 4 * q^76 + 20 * q^79 - 56 * q^80 - 6 * q^81 - 20 * q^82 + 4 * q^84 - 12 * q^86 - 56 * q^87 - 34 * q^88 - 4 * q^90 - 54 * q^92 + 12 * q^94 + 42 * q^96 + 2 * q^98

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