LMFDB - Embedded newform 462.2.w.b.29.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, 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:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.5
Character	$\chi$	$=$	462.29
Dual form			462.2.w.b.239.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(-0.979414 - 1.42855i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.571630 + 0.786781i) q^{5} +(0.0473160 - 1.73140i) q^{6} +(0.951057 - 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.08149 + 2.79828i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(-0.979414 - 1.42855i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.571630 + 0.786781i) q^{5} +(0.0473160 - 1.73140i) q^{6} +(0.951057 - 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.08149 + 2.79828i) q^{9} +0.972514i q^{10} +(2.84501 + 1.70468i) q^{11} +(1.05597 - 1.37292i) q^{12} +(1.75047 - 2.40931i) q^{13} +(0.951057 + 0.309017i) q^{14} +(0.564091 - 1.58718i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.52155 - 1.10547i) q^{17} +(-2.51974 + 1.62817i) q^{18} +(4.57260 + 1.48573i) q^{19} +(-0.571630 + 0.786781i) q^{20} +(-1.37292 - 1.05597i) q^{21} +(1.29968 + 3.05137i) q^{22} +5.74403i q^{23} +(1.66128 - 0.490033i) q^{24} +(1.25282 - 3.85579i) q^{25} +(2.83231 - 0.920275i) q^{26} +(5.05671 - 1.19571i) q^{27} +(0.587785 + 0.809017i) q^{28} +(-1.68464 - 5.18478i) q^{29} +(1.38928 - 0.952494i) q^{30} +(-1.90838 - 1.38652i) q^{31} -1.00000 q^{32} +(-0.351235 - 5.73381i) q^{33} +1.88074 q^{34} +(0.786781 + 0.571630i) q^{35} +(-2.99552 - 0.163846i) q^{36} +(0.449588 + 1.38369i) q^{37} +(2.82602 + 3.88969i) q^{38} +(-5.15625 - 0.140911i) q^{39} +(-0.924916 + 0.300523i) q^{40} +(0.867615 - 2.67024i) q^{41} +(-0.490033 - 1.66128i) q^{42} +9.83226i q^{43} +(-0.742086 + 3.23254i) q^{44} +(-2.81985 + 0.748680i) q^{45} +(-3.37626 + 4.64702i) q^{46} +(3.10821 + 1.00992i) q^{47} +(1.63204 + 0.580034i) q^{48} +(0.809017 - 0.587785i) q^{49} +(3.27993 - 2.38301i) q^{50} +(-3.06945 - 1.09089i) q^{51} +(2.83231 + 0.920275i) q^{52} +(-4.54972 + 6.26216i) q^{53} +(4.79378 + 2.00491i) q^{54} +(0.285087 + 3.21284i) q^{55} +1.00000i q^{56} +(-2.35604 - 7.98732i) q^{57} +(1.68464 - 5.18478i) q^{58} +(-5.00962 + 1.62773i) q^{59} +(1.68382 + 0.0460155i) q^{60} +(-4.75913 - 6.55038i) q^{61} +(-0.728935 - 2.24343i) q^{62} +(-0.163846 + 2.99552i) q^{63} +(-0.809017 - 0.587785i) q^{64} +2.89622 q^{65} +(3.08610 - 4.84520i) q^{66} -10.1641 q^{67} +(1.52155 + 1.10547i) q^{68} +(8.20562 - 5.62579i) q^{69} +(0.300523 + 0.924916i) q^{70} +(-8.37489 - 11.5270i) q^{71} +(-2.32712 - 1.89328i) q^{72} +(-9.90401 + 3.21801i) q^{73} +(-0.449588 + 1.38369i) q^{74} +(-6.73521 + 1.98670i) q^{75} +4.80792i q^{76} +(3.23254 + 0.742086i) q^{77} +(-4.08867 - 3.14476i) q^{78} +(-0.154938 + 0.213253i) q^{79} +(-0.924916 - 0.300523i) q^{80} +(-6.66074 - 6.05265i) q^{81} +(2.27144 - 1.65030i) q^{82} +(-0.173794 + 0.126269i) q^{83} +(0.580034 - 1.63204i) q^{84} +(1.73953 + 0.565208i) q^{85} +(-5.77926 + 7.95447i) q^{86} +(-5.75675 + 7.48464i) q^{87} +(-2.50040 + 2.17899i) q^{88} -12.7280i q^{89} +(-2.72137 - 1.05177i) q^{90} +(0.920275 - 2.83231i) q^{91} +(-5.46290 + 1.77500i) q^{92} +(-0.111613 + 4.08418i) q^{93} +(1.92098 + 2.64400i) q^{94} +(1.44489 + 4.44692i) q^{95} +(0.979414 + 1.42855i) q^{96} +(11.5900 + 8.42062i) q^{97} +1.00000 q^{98} +(-7.84702 + 6.11754i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	−0.979414	−	1.42855i	−0.565465	−	0.824772i
$3$	−0.979414	−	1.42855i	−0.565465	−	0.824772i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	0.571630	+	0.786781i	0.255640	+	0.351859i	0.917477	−	0.397790i	$-0.130223\pi$
$5$	0.571630	+	0.786781i	0.255640	+	0.351859i	−0.661836	+	0.749648i	$0.730223\pi$
$6$	0.0473160	−	1.73140i	0.0193167	−	0.706843i
$7$	0.951057	−	0.309017i	0.359466	−	0.116797i
$7$	0.951057	−	0.309017i	0.359466	−	0.116797i
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	−1.08149	+	2.79828i	−0.360498	+	0.932760i
$10$			0.972514i			0.307536i
$11$	2.84501	+	1.70468i	0.857803	+	0.513979i
$11$	2.84501	+	1.70468i	0.857803	+	0.513979i
$12$	1.05597	−	1.37292i	0.304833	−	0.396329i
$13$	1.75047	−	2.40931i	0.485492	−	0.668222i	−0.494057	−	0.869430i	$-0.664486\pi$
$13$	1.75047	−	2.40931i	0.485492	−	0.668222i	0.979549	+	0.201207i	$0.0644865\pi$
$14$	0.951057	+	0.309017i	0.254181	+	0.0825883i
$15$	0.564091	−	1.58718i	0.145648	−	0.409809i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	1.52155	−	1.10547i	0.369031	−	0.268117i	−0.387778	−	0.921753i	$-0.626757\pi$
$17$	1.52155	−	1.10547i	0.369031	−	0.268117i	0.756809	+	0.653636i	$0.226757\pi$
$18$	−2.51974	+	1.62817i	−0.593907	+	0.383763i
$19$	4.57260	+	1.48573i	1.04903	+	0.340849i	0.782286	−	0.622919i	$-0.214053\pi$
$19$	4.57260	+	1.48573i	1.04903	+	0.340849i	0.266740	+	0.963768i	$0.414053\pi$
$20$	−0.571630	+	0.786781i	−0.127820	+	0.175929i
$21$	−1.37292	−	1.05597i	−0.299597	−	0.230432i
$22$	1.29968	+	3.05137i	0.277092	+	0.650553i
$23$			5.74403i			1.19771i	0.800856	+	0.598857i	$0.204378\pi$
$23$			5.74403i			1.19771i	−0.800856	+	0.598857i	$0.795622\pi$
$24$	1.66128	−	0.490033i	0.339108	−	0.100028i
$25$	1.25282	−	3.85579i	0.250564	−	0.771158i
$26$	2.83231	−	0.920275i	0.555462	−	0.180481i
$27$	5.05671	−	1.19571i	0.973164	−	0.230114i
$28$	0.587785	+	0.809017i	0.111081	+	0.152890i
$29$	−1.68464	−	5.18478i	−0.312829	−	0.962790i	−0.976639	−	0.214888i	$-0.931061\pi$
$29$	−1.68464	−	5.18478i	−0.312829	−	0.962790i	0.663809	−	0.747902i	$-0.268939\pi$
$30$	1.38928	−	0.952494i	0.253647	−	0.173901i
$31$	−1.90838	−	1.38652i	−0.342754	−	0.249026i	0.403069	−	0.915170i	$-0.367944\pi$
$31$	−1.90838	−	1.38652i	−0.342754	−	0.249026i	−0.745823	+	0.666144i	$0.767944\pi$
$32$	−1.00000			−0.176777
$33$	−0.351235	−	5.73381i	−0.0611422	−	0.998129i
$34$	1.88074			0.322545
$35$	0.786781	+	0.571630i	0.132990	+	0.0966230i
$36$	−2.99552	−	0.163846i	−0.499254	−	0.0273077i
$37$	0.449588	+	1.38369i	0.0739118	+	0.227477i	0.981187	−	0.193061i	$-0.0618414\pi$
$37$	0.449588	+	1.38369i	0.0739118	+	0.227477i	−0.907275	+	0.420538i	$0.861841\pi$
$38$	2.82602	+	3.88969i	0.458441	+	0.630991i
$39$	−5.15625	−	0.140911i	−0.825660	−	0.0225637i
$40$	−0.924916	+	0.300523i	−0.146242	+	0.0475169i
$41$	0.867615	−	2.67024i	0.135499	−	0.417022i	−0.860169	−	0.510010i	$-0.829642\pi$
$41$	0.867615	−	2.67024i	0.135499	−	0.417022i	0.995667	+	0.0929878i	$0.0296418\pi$
$42$	−0.490033	−	1.66128i	−0.0756138	−	0.256342i
$43$			9.83226i			1.49941i	0.661774	+	0.749703i	$0.269804\pi$
$43$			9.83226i			1.49941i	−0.661774	+	0.749703i	$0.730196\pi$
$44$	−0.742086	+	3.23254i	−0.111874	+	0.487324i
$45$	−2.81985	+	0.748680i	−0.420358	+	0.111607i
$46$	−3.37626	+	4.64702i	−0.497802	+	0.685166i
$47$	3.10821	+	1.00992i	0.453380	+	0.147312i	0.526800	−	0.849989i	$-0.323392\pi$
$47$	3.10821	+	1.00992i	0.453380	+	0.147312i	−0.0734207	+	0.997301i	$0.523392\pi$
$48$	1.63204	+	0.580034i	0.235565	+	0.0837206i
$49$	0.809017	−	0.587785i	0.115574	−	0.0839693i
$50$	3.27993	−	2.38301i	0.463852	−	0.337008i
$51$	−3.06945	−	1.09089i	−0.429809	−	0.152756i
$52$	2.83231	+	0.920275i	0.392771	+	0.127619i
$53$	−4.54972	+	6.26216i	−0.624953	+	0.860174i	−0.997702	−	0.0677587i	$-0.978415\pi$
$53$	−4.54972	+	6.26216i	−0.624953	+	0.860174i	0.372749	+	0.927932i	$0.378415\pi$
$54$	4.79378	+	2.00491i	0.652351	+	0.272833i
$55$	0.285087	+	3.21284i	0.0384411	+	0.433219i
$56$			1.00000i			0.133631i
$57$	−2.35604	−	7.98732i	−0.312065	−	1.05795i
$58$	1.68464	−	5.18478i	0.221204	−	0.680795i
$59$	−5.00962	+	1.62773i	−0.652197	+	0.211912i	−0.616383	−	0.787447i	$-0.711403\pi$
$59$	−5.00962	+	1.62773i	−0.652197	+	0.211912i	−0.0358146	+	0.999358i	$0.511403\pi$
$60$	1.68382	+	0.0460155i	0.217380	+	0.00594058i
$61$	−4.75913	−	6.55038i	−0.609344	−	0.838690i	0.387180	−	0.922004i	$-0.373449\pi$
$61$	−4.75913	−	6.55038i	−0.609344	−	0.838690i	−0.996523	+	0.0833147i	$0.973449\pi$
$62$	−0.728935	−	2.24343i	−0.0925748	−	0.284916i
$63$	−0.163846	+	2.99552i	−0.0206427	+	0.377400i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	2.89622			0.359231
$66$	3.08610	−	4.84520i	0.379872	−	0.596403i
$67$	−10.1641			−1.24174			−0.620869	−	0.783915i	$-0.713220\pi$
$67$	−10.1641			−1.24174			−0.620869	+	0.783915i	$0.713220\pi$
$68$	1.52155	+	1.10547i	0.184515	+	0.134058i
$69$	8.20562	−	5.62579i	0.987841	−	0.677265i
$70$	0.300523	+	0.924916i	0.0359194	+	0.110549i
$71$	−8.37489	−	11.5270i	−0.993916	−	1.36801i	−0.928984	−	0.370119i	$-0.879317\pi$
$71$	−8.37489	−	11.5270i	−0.993916	−	1.36801i	−0.0649319	−	0.997890i	$-0.520683\pi$
$72$	−2.32712	−	1.89328i	−0.274254	−	0.223125i
$73$	−9.90401	+	3.21801i	−1.15918	+	0.376639i	−0.824593	−	0.565727i	$-0.808596\pi$
$73$	−9.90401	+	3.21801i	−1.15918	+	0.376639i	−0.334583	+	0.942366i	$0.608596\pi$
$74$	−0.449588	+	1.38369i	−0.0522635	+	0.160851i
$75$	−6.73521	+	1.98670i	−0.777715	+	0.229404i
$76$			4.80792i			0.551506i
$77$	3.23254	+	0.742086i	0.368382	+	0.0845685i
$78$	−4.08867	−	3.14476i	−0.462950	−	0.356074i
$79$	−0.154938	+	0.213253i	−0.0174318	+	0.0239929i	−0.817644	−	0.575724i	$-0.804720\pi$
$79$	−0.154938	+	0.213253i	−0.0174318	+	0.0239929i	0.800212	+	0.599717i	$0.204720\pi$
$80$	−0.924916	−	0.300523i	−0.103409	−	0.0335995i
$81$	−6.66074	−	6.05265i	−0.740082	−	0.672517i
$82$	2.27144	−	1.65030i	0.250839	−	0.182245i
$83$	−0.173794	+	0.126269i	−0.0190764	+	0.0138598i	−0.597283	−	0.802031i	$-0.703753\pi$
$83$	−0.173794	+	0.126269i	−0.0190764	+	0.0138598i	0.578206	+	0.815891i	$0.303753\pi$
$84$	0.580034	−	1.63204i	0.0632869	−	0.178070i
$85$	1.73953	+	0.565208i	0.188679	+	0.0613054i
$86$	−5.77926	+	7.95447i	−0.623194	+	0.857752i
$87$	−5.75675	+	7.48464i	−0.617188	+	0.802437i
$88$	−2.50040	+	2.17899i	−0.266543	+	0.232281i
$89$		−	12.7280i		−	1.34916i	−0.738201	−	0.674580i	$-0.764325\pi$
$89$		−	12.7280i		−	1.34916i	0.738201	−	0.674580i	$-0.235675\pi$
$90$	−2.72137	−	1.05177i	−0.286857	−	0.110866i
$91$	0.920275	−	2.83231i	0.0964710	−	0.296907i
$92$	−5.46290	+	1.77500i	−0.569547	+	0.185057i
$93$	−0.111613	+	4.08418i	−0.0115737	+	0.423510i
$94$	1.92098	+	2.64400i	0.198134	+	0.272708i
$95$	1.44489	+	4.44692i	0.148243	+	0.456244i
$96$	0.979414	+	1.42855i	0.0999611	+	0.145800i
$97$	11.5900	+	8.42062i	1.17678	+	0.854984i	0.991805	−	0.127758i	$-0.0407782\pi$
$97$	11.5900	+	8.42062i	1.17678	+	0.854984i	0.184979	+	0.982742i	$0.440778\pi$
$98$	1.00000			0.101015
$99$	−7.84702	+	6.11754i	−0.788655	+	0.614836i
$100$	4.05422			0.405422
$101$	−12.7945	−	9.29577i	−1.27310	−	0.924963i	−0.273781	−	0.961792i	$-0.588274\pi$
$101$	−12.7945	−	9.29577i	−1.27310	−	0.924963i	−0.999322	+	0.0368286i	$0.988274\pi$
$102$	−1.84203	−	2.68673i	−0.182388	−	0.266026i
$103$	0.666231	+	2.05045i	0.0656457	+	0.202037i	0.978499	−	0.206250i	$-0.0661262\pi$
$103$	0.666231	+	2.05045i	0.0656457	+	0.202037i	−0.912854	+	0.408287i	$0.866126\pi$
$104$	1.75047	+	2.40931i	0.171647	+	0.236252i
$105$	0.0460155	−	1.68382i	0.00449066	−	0.164324i
$106$	−7.36161	+	2.39193i	−0.715023	+	0.232325i
$107$	2.48959	−	7.66218i	0.240678	−	0.740730i	−0.755639	−	0.654988i	$-0.772674\pi$
$107$	2.48959	−	7.66218i	0.240678	−	0.740730i	0.996317	−	0.0857426i	$-0.0273263\pi$
$108$	2.69980	+	4.43972i	0.259788	+	0.427212i
$109$			10.5564i			1.01112i	0.862792	+	0.505559i	$0.168714\pi$
$109$			10.5564i			1.01112i	−0.862792	+	0.505559i	$0.831286\pi$
$110$	−1.65782	+	2.76681i	−0.158067	+	0.263805i
$111$	1.53633	−	1.99746i	0.145822	−	0.189591i
$112$	−0.587785	+	0.809017i	−0.0555405	+	0.0764449i
$113$	−3.38693	−	1.10048i	−0.318615	−	0.103524i	0.145343	−	0.989381i	$-0.453571\pi$
$113$	−3.38693	−	1.10048i	−0.318615	−	0.103524i	−0.463959	+	0.885857i	$0.653571\pi$
$114$	2.78875	−	7.84672i	0.261191	−	0.734913i
$115$	−4.51929	+	3.28346i	−0.421426	+	0.306184i
$116$	4.41044	−	3.20437i	0.409499	−	0.297518i
$117$	4.84880	+	7.50395i	0.448272	+	0.693740i
$118$	−5.00962	−	1.62773i	−0.461173	−	0.149844i
$119$	1.10547	−	1.52155i	0.101339	−	0.139481i
$120$	1.33519	+	1.02695i	0.121885	+	0.0937472i
$121$	5.18817	+	9.69964i	0.471651	+	0.881785i
$122$		−	8.09671i		−	0.733042i
$123$	−4.66432	+	1.37585i	−0.420568	+	0.124056i
$124$	0.728935	−	2.24343i	0.0654603	−	0.201466i
$125$	8.37439	−	2.72100i	0.749028	−	0.243374i
$126$	−1.89328	+	2.32712i	−0.168667	+	0.207317i
$127$	5.16680	+	7.11149i	0.458479	+	0.631042i	0.974193	−	0.225719i	$-0.0724730\pi$
$127$	5.16680	+	7.11149i	0.458479	+	0.631042i	−0.515713	+	0.856761i	$0.672473\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	14.0459	−	9.62986i	1.23667	−	0.847862i
$130$	2.34309	+	1.70235i	0.205502	+	0.149306i
$131$	−1.56612			−0.136832			−0.0684162	−	0.997657i	$-0.521795\pi$
$131$	−1.56612			−0.136832			−0.0684162	+	0.997657i	$0.521795\pi$
$132$	5.34464	−	2.10589i	0.465192	−	0.183294i
$133$	4.80792			0.416899
$134$	−8.22290	−	5.97428i	−0.710350	−	0.516099i
$135$	3.83132	+	3.29502i	0.329748	+	0.283590i
$136$	0.581182	+	1.78869i	0.0498359	+	0.153379i
$137$	−10.2108	−	14.0539i	−0.872364	−	1.20071i	−0.978478	−	0.206353i	$-0.933841\pi$
$137$	−10.2108	−	14.0539i	−0.872364	−	1.20071i	0.106113	−	0.994354i	$-0.466159\pi$
$138$	9.94524	+	0.271785i	0.846595	+	0.0231359i
$139$	−8.55692	+	2.78031i	−0.725789	+	0.235823i	−0.648531	−	0.761188i	$-0.724616\pi$
$139$	−8.55692	+	2.78031i	−0.725789	+	0.235823i	−0.0772576	+	0.997011i	$0.524616\pi$
$140$	−0.300523	+	0.924916i	−0.0253989	+	0.0781697i
$141$	−1.60151	−	5.42936i	−0.134872	−	0.457235i
$142$		−	14.2482i		−	1.19568i
$143$	9.08719	−	3.87054i	0.759909	−	0.323670i
$144$	−0.769840	−	2.89954i	−0.0641533	−	0.241629i
$145$	3.11630	−	4.28922i	0.258794	−	0.356200i
$146$	−9.90401	−	3.21801i	−0.819661	−	0.266324i
$147$	−1.63204	−	0.580034i	−0.134609	−	0.0478404i
$148$	−1.17704	+	0.855167i	−0.0967518	+	0.0702943i
$149$	5.20514	−	3.78175i	0.426421	−	0.309813i	−0.353795	−	0.935323i	$-0.615109\pi$
$149$	5.20514	−	3.78175i	0.426421	−	0.309813i	0.780216	+	0.625510i	$0.215109\pi$
$150$	−6.61665	−	2.35158i	−0.540247	−	0.192006i
$151$	0.662492	+	0.215257i	0.0539128	+	0.0175173i	0.335849	−	0.941916i	$-0.390977\pi$
$151$	0.662492	+	0.215257i	0.0539128	+	0.0175173i	−0.281936	+	0.959433i	$0.590977\pi$
$152$	−2.82602	+	3.88969i	−0.229221	+	0.315495i
$153$	1.44787	+	5.45330i	0.117054	+	0.440873i
$154$	2.17899	+	2.50040i	0.175588	+	0.201488i
$155$		−	2.29405i		−	0.184262i
$156$	−1.45935	−	4.94742i	−0.116842	−	0.396111i
$157$	6.31535	−	19.4366i	0.504020	−	1.55121i	−0.298393	−	0.954443i	$-0.596451\pi$
$157$	6.31535	−	19.4366i	0.504020	−	1.55121i	0.802412	−	0.596770i	$-0.203549\pi$
$158$	−0.250694	+	0.0814555i	−0.0199442	+	0.00648025i
$159$	13.4019	+	0.366248i	1.06284	+	0.0290453i
$160$	−0.571630	−	0.786781i	−0.0451913	−	0.0622005i
$161$	1.77500	+	5.46290i	0.139890	+	0.430537i
$162$	−1.83099	−	8.81178i	−0.143856	−	0.692319i
$163$	−12.8337	−	9.32426i	−1.00522	−	0.730333i	−0.0420162	−	0.999117i	$-0.513378\pi$
$163$	−12.8337	−	9.32426i	−1.00522	−	0.730333i	−0.963200	+	0.268784i	$0.913378\pi$
$164$	2.80766			0.219241
$165$	4.31048	−	3.55396i	0.335570	−	0.276676i
$166$	−0.214822			−0.0166734
$167$	8.53080	+	6.19799i	0.660133	+	0.479615i	0.866708	−	0.498816i	$-0.166232\pi$
$167$	8.53080	+	6.19799i	0.660133	+	0.479615i	−0.206575	+	0.978431i	$0.566232\pi$
$168$	1.42855	−	0.979414i	0.110215	−	0.0755635i
$169$	1.27658	+	3.92890i	0.0981983	+	0.302223i
$170$	1.07509	+	1.47973i	0.0824555	+	0.113490i
$171$	−9.10273	+	11.1886i	−0.696103	+	0.855614i
$172$	−9.35104	+	3.03834i	−0.713010	+	0.231671i
$173$	−3.63893	+	11.1995i	−0.276663	+	0.851481i	0.712112	+	0.702066i	$0.247739\pi$
$173$	−3.63893	+	11.1995i	−0.276663	+	0.851481i	−0.988775	+	0.149415i	$0.952261\pi$
$174$	−9.05667	+	2.67147i	−0.686584	+	0.202523i
$175$		−	4.05422i		−	0.306470i
$176$	−3.30364	+	0.293144i	−0.249022	+	0.0220966i
$177$	7.23178	+	5.56227i	0.543574	+	0.418085i
$178$	7.48131	−	10.2971i	0.560748	−	0.771803i
$179$	17.8272	+	5.79240i	1.33247	+	0.432944i	0.886758	−	0.462234i	$-0.152952\pi$
$179$	17.8272	+	5.79240i	1.33247	+	0.432944i	0.445708	+	0.895178i	$0.352952\pi$
$180$	−1.58342	−	2.45048i	−0.118021	−	0.182648i
$181$	9.83603	−	7.14630i	0.731107	−	0.531180i	−0.158807	−	0.987310i	$-0.550765\pi$
$181$	9.83603	−	7.14630i	0.731107	−	0.531180i	0.889913	+	0.456130i	$0.150765\pi$
$182$	2.40931	−	1.75047i	0.178590	−	0.129753i
$183$	−4.69636	+	13.2142i	−0.347165	+	0.976820i
$184$	−5.46290	−	1.77500i	−0.402730	−	0.130855i
$185$	−0.831662	+	1.14468i	−0.0611450	+	0.0841589i
$186$	−2.49092	+	3.23857i	−0.182643	+	0.237463i
$187$	6.21331	−	0.551329i	0.454362	−	0.0403171i
$188$			3.26817i			0.238356i
$189$	4.43972	−	2.69980i	0.322942	−	0.196381i
$190$	−1.44489	+	4.44692i	−0.104823	+	0.322613i
$191$	21.9501	−	7.13201i	1.58825	−	0.516054i	0.624086	−	0.781355i	$-0.285471\pi$
$191$	21.9501	−	7.13201i	1.58825	−	0.516054i	0.964166	+	0.265301i	$0.0854713\pi$
$192$	−0.0473160	+	1.73140i	−0.00341474	+	0.124953i
$193$	14.9669	+	20.6001i	1.07734	+	1.48283i	0.862418	+	0.506198i	$0.168949\pi$
$193$	14.9669	+	20.6001i	1.07734	+	1.48283i	0.214921	+	0.976631i	$0.431051\pi$
$194$	4.42698	+	13.6248i	0.317839	+	0.978207i
$195$	−2.83660	−	4.13738i	−0.203133	−	0.296284i
$196$	0.809017	+	0.587785i	0.0577869	+	0.0419847i
$197$	−23.4139			−1.66817			−0.834084	−	0.551637i	$-0.814003\pi$
$197$	−23.4139			−1.66817			−0.834084	+	0.551637i	$0.814003\pi$
$198$	−9.94417	+	0.336829i	−0.706701	+	0.0239374i
$199$	−12.8014			−0.907466			−0.453733	−	0.891138i	$-0.649908\pi$
$199$	−12.8014			−0.907466			−0.453733	+	0.891138i	$0.649908\pi$
$200$	3.27993	+	2.38301i	0.231926	+	0.168504i
$201$	9.95483	+	14.5198i	0.702159	+	1.02415i
$202$	−4.88707	−	15.0409i	−0.343853	−	1.05827i
$203$	−3.20437	−	4.41044i	−0.224903	−	0.309552i
$204$	0.0889894	−	3.25633i	0.00623050	−	0.227989i
$205$	2.59685	−	0.843768i	0.181372	−	0.0589313i
$206$	−0.666231	+	2.05045i	−0.0464185	+	0.142862i
$207$	−16.0734	−	6.21214i	−1.11718	−	0.431774i
$208$			2.97807i			0.206492i
$209$	10.4764	+	12.0217i	0.724669	+	0.831559i
$210$	1.02695	−	1.33519i	0.0708662	−	0.0921367i
$211$	−0.843459	+	1.16092i	−0.0580661	+	0.0799211i	−0.837063	−	0.547107i	$-0.815729\pi$
$211$	−0.843459	+	1.16092i	−0.0580661	+	0.0799211i	0.778996	+	0.627028i	$0.215729\pi$
$212$	−7.36161	−	2.39193i	−0.505597	−	0.164279i
$213$	−8.26444	+	23.2537i	−0.566270	+	1.59332i
$214$	6.51784	−	4.73548i	0.445550	−	0.323711i
$215$	−7.73583	+	5.62041i	−0.527579	+	0.383309i
$216$	−0.425421	+	5.17871i	−0.0289462	+	0.352366i
$217$	−2.24343	−	0.728935i	−0.152294	−	0.0494833i
$218$	−6.20488	+	8.54028i	−0.420247	+	0.578421i
$219$	14.2972	+	10.9966i	0.966115	+	0.743080i
$220$	−2.96750	+	1.26396i	−0.200069	+	0.0852159i
$221$		−	5.60099i		−	0.376763i
$222$	2.41700	−	0.712948i	0.162218	−	0.0478499i
$223$	5.91869	−	18.2159i	0.396345	−	1.21982i	−0.531564	−	0.847018i	$-0.678396\pi$
$223$	5.91869	−	18.2159i	0.396345	−	1.21982i	0.927909	−	0.372806i	$-0.121604\pi$
$224$	−0.951057	+	0.309017i	−0.0635451	+	0.0206471i
$225$	9.43466	+	7.67576i	0.628977	+	0.511717i
$226$	−2.09324	−	2.88109i	−0.139240	−	0.191648i
$227$	3.49450	+	10.7550i	0.231938	+	0.713832i	0.997513	+	0.0704850i	$0.0224547\pi$
$227$	3.49450	+	10.7550i	0.231938	+	0.713832i	−0.765575	+	0.643347i	$0.777545\pi$
$228$	6.86834	−	4.70894i	0.454867	−	0.311857i
$229$	−19.9335	−	14.4825i	−1.31724	−	0.957033i	−0.999962	−	0.00870125i	$-0.997230\pi$
$229$	−19.9335	−	14.4825i	−1.31724	−	0.957033i	−0.317281	−	0.948332i	$-0.602770\pi$
$230$	−5.58615			−0.368340
$231$	−2.10589	−	5.34464i	−0.138557	−	0.351652i
$232$	5.45160			0.357915
$233$	−1.58866	−	1.15423i	−0.104077	−	0.0756161i	0.534530	−	0.845150i	$-0.320489\pi$
$233$	−1.58866	−	1.15423i	−0.104077	−	0.0756161i	−0.638606	+	0.769534i	$0.720489\pi$
$234$	−0.487946	+	8.92088i	−0.0318981	+	0.583176i
$235$	0.982162	+	3.02278i	0.0640692	+	0.197185i
$236$	−3.09612	−	4.26144i	−0.201540	−	0.277396i
$237$	0.456390	+	0.0124723i	0.0296457	+	0.000810163i
$238$	1.78869	−	0.581182i	0.115944	−	0.0376724i
$239$	−2.49653	+	7.68353i	−0.161487	+	0.497007i	−0.998760	−	0.0497784i	$-0.984148\pi$
$239$	−2.49653	+	7.68353i	−0.161487	+	0.497007i	0.837273	+	0.546785i	$0.184148\pi$
$240$	0.476564	+	1.61562i	0.0307621	+	0.104288i
$241$		−	3.64087i		−	0.234529i	−0.993101	−	0.117264i	$-0.962587\pi$
$241$		−	3.64087i		−	0.234529i	0.993101	−	0.117264i	$-0.0374125\pi$
$242$	−1.50399	+	10.8967i	−0.0966800	+	0.700466i
$243$	−2.12287	+	15.4432i	−0.136182	+	0.990684i
$244$	4.75913	−	6.55038i	0.304672	−	0.419345i
$245$	0.924916	+	0.300523i	0.0590907	+	0.0191997i
$246$	−4.58222	−	1.62854i	−0.292152	−	0.103832i
$247$	11.5838	−	8.41610i	0.737057	−	0.535503i
$248$	1.90838	−	1.38652i	0.121182	−	0.0880439i
$249$	0.350598	+	0.124604i	0.0222182	+	0.00789644i
$250$	8.37439	+	2.72100i	0.529643	+	0.172091i
$251$	−6.41246	+	8.82599i	−0.404751	+	0.557091i	−0.961928	−	0.273302i	$-0.911884\pi$
$251$	−6.41246	+	8.82599i	−0.404751	+	0.557091i	0.557178	+	0.830393i	$0.311884\pi$
$252$	−2.89954	+	0.769840i	−0.182654	+	0.0484954i
$253$	−9.79171	+	16.3418i	−0.615599	+	1.02740i
$254$			8.79028i			0.551551i
$255$	−0.896295	−	3.03857i	−0.0561282	−	0.190283i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−19.2897	+	6.26761i	−1.20326	+	0.390963i	−0.840959	−	0.541098i	$-0.818009\pi$
$257$	−19.2897	+	6.26761i	−1.20326	+	0.390963i	−0.362301	+	0.932061i	$0.618009\pi$
$258$	17.0236	+	0.465224i	1.05984	+	0.0289636i
$259$	0.855167	+	1.17704i	0.0531375	+	0.0731375i
$260$	0.894980	+	2.75447i	0.0555043	+	0.170825i
$261$	16.3304	+	0.893226i	1.01083	+	0.0552893i
$262$	−1.26702	−	0.920542i	−0.0782766	−	0.0568713i
$263$	−0.950621			−0.0586178			−0.0293089	−	0.999570i	$-0.509331\pi$
$263$	−0.950621			−0.0586178			−0.0293089	+	0.999570i	$0.509331\pi$
$264$	5.56172	+	1.43780i	0.342300	+	0.0884906i
$265$	−7.52770			−0.462423
$266$	3.88969	+	2.82602i	0.238492	+	0.173275i
$267$	−18.1825	+	12.4659i	−1.11275	+	0.762904i
$268$	−3.14087	−	9.66659i	−0.191859	−	0.590481i
$269$	−3.32467	−	4.57602i	−0.202709	−	0.279005i	0.695544	−	0.718483i	$-0.255163\pi$
$269$	−3.32467	−	4.57602i	−0.202709	−	0.279005i	−0.898253	+	0.439478i	$0.855163\pi$
$270$	1.16284	+	4.91772i	0.0707685	+	0.299283i
$271$	5.61372	−	1.82401i	0.341009	−	0.110801i	−0.133506	−	0.991048i	$-0.542624\pi$
$271$	5.61372	−	1.82401i	0.341009	−	0.110801i	0.474515	+	0.880247i	$0.342624\pi$
$272$	−0.581182	+	1.78869i	−0.0352393	+	0.108455i
$273$	−4.94742	+	1.45935i	−0.299432	+	0.0883241i
$274$		−	17.3716i		−	1.04946i
$275$	10.1372	−	8.83410i	0.611294	−	0.532717i
$276$	7.88612	+	6.06555i	0.474689	+	0.365103i
$277$	13.7587	−	18.9373i	0.826682	−	1.13783i	−0.161849	−	0.986815i	$-0.551746\pi$
$277$	13.7587	−	18.9373i	0.826682	−	1.13783i	0.988532	−	0.151015i	$-0.0482541\pi$
$278$	−8.55692	−	2.78031i	−0.513210	−	0.166752i
$279$	5.94376	−	3.84066i	0.355844	−	0.229934i
$280$	−0.786781	+	0.571630i	−0.0470191	+	0.0341614i
$281$	19.2505	−	13.9863i	1.14839	−	0.834355i	0.160125	−	0.987097i	$-0.448810\pi$
$281$	19.2505	−	13.9863i	1.14839	−	0.834355i	0.988266	+	0.152742i	$0.0488103\pi$
$282$	1.89565	−	5.33379i	0.112884	−	0.317623i
$283$	−29.1116	−	9.45892i	−1.73050	−	0.562275i	−0.736981	−	0.675913i	$-0.763749\pi$
$283$	−29.1116	−	9.45892i	−1.73050	−	0.562275i	−0.993522	+	0.113639i	$0.963749\pi$
$284$	8.37489	−	11.5270i	0.496958	−	0.684004i
$285$	4.93749	−	6.41947i	0.292471	−	0.380257i
$286$	9.62673	+	2.20998i	0.569241	+	0.130679i
$287$		−	2.80766i		−	0.165731i
$288$	1.08149	−	2.79828i	0.0637277	−	0.164890i
$289$	−4.16023	+	12.8039i	−0.244720	+	0.753170i
$290$	5.04228	−	1.63833i	0.296093	−	0.0962063i
$291$	0.677850	−	24.8041i	0.0397363	−	1.45404i
$292$	−6.12101	−	8.42485i	−0.358205	−	0.493027i
$293$	6.45315	+	19.8607i	0.376997	+	1.16028i	0.942121	+	0.335272i	$0.108828\pi$
$293$	6.45315	+	19.8607i	0.376997	+	1.16028i	−0.565125	+	0.825006i	$0.691172\pi$
$294$	−0.979414	−	1.42855i	−0.0571206	−	0.0833146i
$295$	−4.14431	−	3.01102i	−0.241291	−	0.175308i
$296$	−1.45490			−0.0845642
$297$	16.4247	+	5.21823i	0.953056	+	0.302793i
$298$	6.43390			0.372706
$299$	13.8392	+	10.0547i	0.800339	+	0.581480i
$300$	−3.97076	−	5.79164i	−0.229252	−	0.334380i
$301$	3.03834	+	9.35104i	0.175127	+	0.538985i
$302$	0.409443	+	0.563550i	0.0235608	+	0.0324286i
$303$	−0.748299	+	27.3820i	−0.0429886	+	1.57305i
$304$	−4.57260	+	1.48573i	−0.262257	+	0.0852124i
$305$	2.43325	−	7.48878i	0.139328	−	0.428806i
$306$	−2.03401	+	5.26285i	−0.116277	+	0.300857i
$307$			33.3216i			1.90177i	0.309551	+	0.950883i	$0.399821\pi$
$307$			33.3216i			1.90177i	−0.309551	+	0.950883i	$0.600179\pi$
$308$	0.293144	+	3.30364i	0.0167034	+	0.188243i
$309$	2.27665	−	2.95998i	0.129514	−	0.168388i
$310$	1.34841	−	1.85592i	0.0765844	−	0.105409i
$311$	2.05528	+	0.667801i	0.116544	+	0.0378675i	0.366709	−	0.930336i	$-0.380485\pi$
$311$	2.05528	+	0.667801i	0.116544	+	0.0378675i	−0.250164	+	0.968203i	$0.580485\pi$
$312$	1.72738	−	4.86034i	0.0977937	−	0.275162i
$313$	6.51931	−	4.73656i	0.368493	−	0.267726i	−0.388093	−	0.921620i	$-0.626866\pi$
$313$	6.51931	−	4.73656i	0.368493	−	0.267726i	0.756586	+	0.653894i	$0.226866\pi$
$314$	16.5338	−	12.0125i	0.933056	−	0.677905i
$315$	−2.45048	+	1.58342i	−0.138069	+	0.0892155i
$316$	−0.250694	−	0.0814555i	−0.0141027	−	0.00458223i
$317$	7.02129	−	9.66398i	0.394355	−	0.542783i	−0.564961	−	0.825118i	$-0.691109\pi$
$317$	7.02129	−	9.66398i	0.394355	−	0.542783i	0.959316	+	0.282335i	$0.0911088\pi$
$318$	10.6271	+	8.17371i	0.595936	+	0.458359i
$319$	4.04556	−	17.6225i	0.226508	−	0.986672i
$320$		−	0.972514i		−	0.0543652i
$321$	−13.3841	+	3.94795i	−0.747029	+	0.220353i
$322$	−1.77500	+	5.46290i	−0.0989171	+	0.304435i
$323$	8.59989	−	2.79427i	0.478511	−	0.155478i
$324$	3.69813	−	8.20511i	0.205452	−	0.455839i
$325$	−7.09677	−	9.76786i	−0.393658	−	0.541824i
$326$	−4.90205	−	15.0870i	−0.271500	−	0.835590i
$327$	15.0803	−	10.3391i	0.833941	−	0.571751i
$328$	2.27144	+	1.65030i	0.125420	+	0.0911226i
$329$	3.26817			0.180180
$330$	5.57622	−	0.341581i	0.306961	−	0.0188034i
$331$	8.59283			0.472305			0.236152	−	0.971716i	$-0.424114\pi$
$331$	8.59283			0.472305			0.236152	+	0.971716i	$0.424114\pi$
$332$	−0.173794	−	0.126269i	−0.00953820	−	0.00692991i
$333$	−4.35818	−	0.238380i	−0.238827	−	0.0130631i
$334$	3.25847	+	10.0286i	0.178296	+	0.548738i
$335$	−5.81008	−	7.99688i	−0.317438	−	0.436916i
$336$	1.73140	+	0.0473160i	0.0944559	+	0.00258130i
$337$	22.0974	−	7.17988i	1.20372	−	0.391113i	0.362593	−	0.931948i	$-0.381892\pi$
$337$	22.0974	−	7.17988i	1.20372	−	0.391113i	0.841129	+	0.540835i	$0.181892\pi$
$338$	−1.27658	+	3.92890i	−0.0694367	+	0.213704i
$339$	1.74512	+	5.91621i	0.0947819	+	0.321325i
$340$			1.82905i			0.0991942i
$341$	−3.06579	−	7.19781i	−0.166022	−	0.389783i
$342$	−13.9408	+	3.70133i	−0.753830	+	0.200145i
$343$	0.587785	−	0.809017i	0.0317374	−	0.0436828i
$344$	−9.35104	−	3.03834i	−0.504174	−	0.163816i
$345$	9.11684	+	3.24016i	0.490834	+	0.174444i
$346$	−9.52685	+	6.92166i	−0.512167	+	0.372111i
$347$	4.45340	−	3.23559i	0.239071	−	0.173695i	−0.461798	−	0.886985i	$-0.652796\pi$
$347$	4.45340	−	3.23559i	0.239071	−	0.173695i	0.700869	+	0.713290i	$0.252796\pi$
$348$	−8.89725	−	3.16211i	−0.476942	−	0.169507i
$349$	−35.1204	−	11.4113i	−1.87995	−	0.610834i	−0.987009	−	0.160666i	$-0.948636\pi$
$349$	−35.1204	−	11.4113i	−1.87995	−	0.610834i	−0.892944	−	0.450168i	$-0.851364\pi$
$350$	2.38301	−	3.27993i	0.127377	−	0.175320i
$351$	5.97076	−	14.2762i	0.318696	−	0.762008i
$352$	−2.84501	−	1.70468i	−0.151640	−	0.0908595i
$353$		−	0.564426i		−	0.0300414i	−0.999887	−	0.0150207i	$-0.995219\pi$
$353$		−	0.564426i		−	0.0300414i	0.999887	−	0.0150207i	$-0.00478141\pi$
$354$	2.58121	+	8.75070i	0.137190	+	0.465094i
$355$	4.28192	−	13.1784i	0.227261	−	0.699437i
$356$	12.1050	−	3.93316i	0.641564	−	0.208457i
$357$	−3.25633	−	0.0889894i	−0.172343	−	0.00470982i
$358$	11.0178	+	15.1647i	0.582309	+	0.801479i
$359$	6.52838	+	20.0923i	0.344555	+	1.06043i	0.961822	+	0.273677i	$0.0882399\pi$
$359$	6.52838	+	20.0923i	0.344555	+	1.06043i	−0.617267	+	0.786754i	$0.711760\pi$
$360$	0.159343	−	2.91319i	0.00839811	−	0.153538i
$361$	3.32997	+	2.41937i	0.175262	+	0.127335i
$362$	12.1580			0.639011
$363$	8.77502	−	16.9115i	0.460569	−	0.887624i
$364$	2.97807			0.156093
$365$	−8.19329	−	5.95277i	−0.428856	−	0.311582i
$366$	−11.5665	+	7.93003i	−0.604592	+	0.414510i
$367$	−5.62716	−	17.3186i	−0.293735	−	0.904024i	−0.983643	−	0.180127i	$-0.942349\pi$
$367$	−5.62716	−	17.3186i	−0.293735	−	0.904024i	0.689908	−	0.723897i	$-0.257651\pi$
$368$	−3.37626	−	4.64702i	−0.176000	−	0.242243i
$369$	6.53377	+	5.31568i	0.340134	+	0.276723i
$370$	−1.34566	+	0.437231i	−0.0699574	+	0.0227305i
$371$	−2.39193	+	7.36161i	−0.124183	+	0.382196i
$372$	−3.91878	+	1.15593i	−0.203179	+	0.0599322i
$373$		−	8.51547i		−	0.440915i	−0.975397	−	0.220457i	$-0.929245\pi$
$373$		−	8.51547i		−	0.440915i	0.975397	−	0.220457i	$-0.0707550\pi$
$374$	5.35073	+	3.20606i	0.276680	+	0.165781i
$375$	−12.0891	−	9.29822i	−0.624277	−	0.480158i
$376$	−1.92098	+	2.64400i	−0.0990671	+	0.136354i
$377$	−15.4407	−	5.01697i	−0.795234	−	0.258387i
$378$	5.17871	+	0.425421i	0.266364	+	0.0218813i
$379$	−26.4909	+	19.2468i	−1.36075	+	0.988639i	−0.362348	+	0.932043i	$0.618025\pi$
$379$	−26.4909	+	19.2468i	−1.36075	+	0.988639i	−0.998397	+	0.0565968i	$0.981975\pi$
$380$	−3.78278	+	2.74835i	−0.194052	+	0.140987i
$381$	5.09866	−	14.3461i	0.261212	−	0.734973i
$382$	21.9501	+	7.13201i	1.12306	+	0.364906i
$383$	1.64084	−	2.25843i	0.0838433	−	0.115400i	−0.765035	−	0.643989i	$-0.777278\pi$
$383$	1.64084	−	2.25843i	0.0838433	−	0.115400i	0.848878	+	0.528588i	$0.177278\pi$
$384$	−1.05597	+	1.37292i	−0.0538874	+	0.0700617i
$385$	1.26396	+	2.96750i	0.0644172	+	0.151238i
$386$			25.4631i			1.29604i
$387$	−27.5134	−	10.6335i	−1.39859	−	0.540533i
$388$	−4.42698	+	13.6248i	−0.224746	+	0.691697i
$389$	−7.82929	+	2.54389i	−0.396961	+	0.128980i	−0.500693	−	0.865625i	$-0.666921\pi$
$389$	−7.82929	+	2.54389i	−0.396961	+	0.128980i	0.103732	+	0.994605i	$0.466921\pi$
$390$	0.137038	−	5.01452i	0.00693917	−	0.253920i
$391$	6.34988	+	8.73985i	0.321127	+	0.441993i
$392$	0.309017	+	0.951057i	0.0156077	+	0.0480356i
$393$	1.53388	+	2.23728i	0.0773740	+	0.112856i
$394$	−18.9422	−	13.7623i	−0.954295	−	0.693336i
$395$	−0.256350			−0.0128984
$396$	−8.24299	−	5.57254i	−0.414226	−	0.280031i
$397$	−18.8508			−0.946093			−0.473047	−	0.881037i	$-0.656846\pi$
$397$	−18.8508			−0.946093			−0.473047	+	0.881037i	$0.656846\pi$
$398$	−10.3565	−	7.52447i	−0.519126	−	0.377167i
$399$	−4.70894	−	6.86834i	−0.235742	−	0.343847i
$400$	1.25282	+	3.85579i	0.0626411	+	0.192789i
$401$	2.44020	+	3.35865i	0.121858	+	0.167723i	0.865588	−	0.500757i	$-0.166945\pi$
$401$	2.44020	+	3.35865i	0.121858	+	0.167723i	−0.743730	+	0.668480i	$0.766945\pi$
$402$	−0.480923	+	17.5981i	−0.0239863	+	0.877713i
$403$	−6.68110	+	2.17082i	−0.332809	+	0.108136i
$404$	4.88707	−	15.0409i	0.243141	−	0.748311i
$405$	0.954631	−	8.70041i	0.0474360	−	0.432327i
$406$		−	5.45160i		−	0.270559i
$407$	−1.07966	+	4.70301i	−0.0535167	+	0.233120i
$408$	1.98602	−	2.58212i	0.0983224	−	0.127834i
$409$	20.1812	−	27.7771i	0.997898	−	1.37349i	0.0712923	−	0.997455i	$-0.477288\pi$
$409$	20.1812	−	27.7771i	0.997898	−	1.37349i	0.926606	−	0.376034i	$-0.122712\pi$
$410$	2.59685	+	0.843768i	0.128249	+	0.0416707i
$411$	−10.0761	+	28.3512i	−0.497018	+	1.39846i
$412$	−1.74422	+	1.26725i	−0.0859314	+	0.0624328i
$413$	−4.26144	+	3.09612i	−0.209692	+	0.152350i
$414$	−9.35226	−	14.4734i	−0.459638	−	0.711331i
$415$	−0.198692	−	0.0645589i	−0.00975340	−	0.00316907i
$416$	−1.75047	+	2.40931i	−0.0858237	+	0.118126i
$417$	12.3526	+	9.50089i	0.604909	+	0.465261i
$418$	1.40941	+	15.8837i	0.0689366	+	0.776895i
$419$			0.598936i			0.0292600i	0.999893	+	0.0146300i	$0.00465703\pi$
$419$			0.598936i			0.0292600i	−0.999893	+	0.0146300i	$0.995343\pi$
$420$	1.61562	−	0.476564i	0.0788343	−	0.0232540i
$421$	1.25346	−	3.85777i	0.0610901	−	0.188016i	−0.915854	−	0.401512i	$-0.868485\pi$
$421$	1.25346	−	3.85777i	0.0610901	−	0.188016i	0.976944	+	0.213496i	$0.0684849\pi$
$422$	−1.36475	+	0.443433i	−0.0664348	+	0.0215860i
$423$	−6.18756	+	7.60543i	−0.300849	+	0.369789i
$424$	−4.54972	−	6.26216i	−0.220954	−	0.304117i
$425$	−2.35624	−	7.25175i	−0.114294	−	0.351762i
$426$	−20.3542	+	13.9549i	−0.986166	+	0.676117i
$427$	−6.55038	−	4.75913i	−0.316995	−	0.230310i
$428$	8.05649			0.389425
$429$	−14.4294	−	9.19062i	−0.696656	−	0.443727i
$430$	−9.56201			−0.461121
$431$	−5.78469	−	4.20282i	−0.278639	−	0.202443i	0.439685	−	0.898152i	$-0.355090\pi$
$431$	−5.78469	−	4.20282i	−0.278639	−	0.202443i	−0.718323	+	0.695709i	$0.755090\pi$
$432$	−3.38814	+	3.93961i	−0.163012	+	0.189544i
$433$	7.93482	+	24.4209i	0.381323	+	1.17359i	0.939113	+	0.343610i	$0.111650\pi$
$433$	7.93482	+	24.4209i	0.381323	+	1.17359i	−0.557789	+	0.829982i	$0.688350\pi$
$434$	−1.38652	−	1.90838i	−0.0665549	−	0.0916050i
$435$	−9.17949	−	0.250858i	−0.440123	−	0.0120277i
$436$	−10.0397	+	3.26210i	−0.480815	+	0.156226i
$437$	−8.53407	+	26.2652i	−0.408240	+	1.25643i
$438$	5.10305	+	17.3001i	0.243833	+	0.826631i
$439$		−	27.3235i		−	1.30408i	−0.758185	−	0.652040i	$-0.773914\pi$
$439$		−	27.3235i		−	1.30408i	0.758185	−	0.652040i	$-0.226086\pi$
$440$	−3.14369	−	0.721689i	−0.149870	−	0.0344052i
$441$	0.769840	+	2.89954i	0.0366591	+	0.138073i
$442$	3.29218	−	4.53130i	0.156593	−	0.215532i
$443$	−13.2882	−	4.31760i	−0.631342	−	0.205136i	−0.0241727	−	0.999708i	$-0.507695\pi$
$443$	−13.2882	−	4.31760i	−0.631342	−	0.205136i	−0.607170	+	0.794572i	$0.707695\pi$
$444$	2.37445	+	0.843889i	0.112687	+	0.0400492i
$445$	10.0141	−	7.27568i	0.474714	−	0.344900i
$446$	15.4953	−	11.2580i	0.733726	−	0.533083i
$447$	−10.5004	−	3.73188i	−0.496652	−	0.176512i
$448$	−0.951057	−	0.309017i	−0.0449332	−	0.0145997i
$449$	14.8971	−	20.5042i	0.703040	−	0.967651i	−0.296879	−	0.954915i	$-0.595946\pi$
$449$	14.8971	−	20.5042i	0.703040	−	0.967651i	0.999919	−	0.0127361i	$-0.00405414\pi$
$450$	3.12110	+	11.7554i	0.147130	+	0.554154i
$451$	7.02027	−	6.11787i	0.330572	−	0.288079i
$452$		−	3.56123i		−	0.167506i
$453$	−0.341350	−	1.15723i	−0.0160380	−	0.0543713i
$454$	−3.49450	+	10.7550i	−0.164005	+	0.504755i
$455$	2.75447	−	0.894980i	0.129131	−	0.0419573i
$456$	8.32445	+	0.227492i	0.389828	+	0.0106533i
$457$	8.77107	+	12.0723i	0.410293	+	0.564720i	0.963290	−	0.268463i	$-0.0865158\pi$
$457$	8.77107	+	12.0723i	0.410293	+	0.564720i	−0.552997	+	0.833183i	$0.686516\pi$
$458$	−7.61392	−	23.4332i	−0.355775	−	1.09496i
$459$	6.37222	−	7.40939i	0.297430	−	0.345841i
$460$	−4.51929	−	3.28346i	−0.210713	−	0.153092i
$461$	−22.0432			−1.02665			−0.513327	−	0.858193i	$-0.671587\pi$
$461$	−22.0432			−1.02665			−0.513327	+	0.858193i	$0.671587\pi$
$462$	1.43780	−	5.56172i	0.0668926	−	0.258755i
$463$	5.72895			0.266247			0.133123	−	0.991099i	$-0.457499\pi$
$463$	5.72895			0.266247			0.133123	+	0.991099i	$0.457499\pi$
$464$	4.41044	+	3.20437i	0.204750	+	0.148759i
$465$	−3.27715	+	2.24682i	−0.151974	+	0.104194i
$466$	−0.606815	−	1.86758i	−0.0281101	−	0.0865141i
$467$	−20.3914	−	28.0664i	−0.943603	−	1.29876i	−0.954311	−	0.298815i	$-0.903409\pi$
$467$	−20.3914	−	28.0664i	−0.943603	−	1.29876i	0.0107079	−	0.999943i	$-0.496591\pi$
$468$	−5.63832	+	6.93034i	−0.260631	+	0.320355i
$469$	−9.66659	+	3.14087i	−0.446362	+	0.145032i
$470$	−0.982162	+	3.02278i	−0.0453037	+	0.139431i
$471$	−33.9515	+	10.0148i	−1.56440	+	0.461456i
$472$		−	5.26743i		−	0.242453i
$473$	−16.7608	+	27.9729i	−0.770663	+	1.28619i
$474$	0.361897	+	0.278350i	0.0166225	+	0.0127850i
$475$	11.4573	−	15.7696i	0.525697	−	0.723560i
$476$	1.78869	+	0.581182i	0.0819846	+	0.0266384i
$477$	−12.6028	−	19.5039i	−0.577041	−	0.893022i
$478$	−6.53600	+	4.74869i	−0.298950	+	0.217200i
$479$	7.83621	−	5.69334i	0.358046	−	0.260135i	−0.394191	−	0.919029i	$-0.628975\pi$
$479$	7.83621	−	5.69334i	0.358046	−	0.260135i	0.752237	+	0.658893i	$0.228975\pi$
$480$	−0.564091	+	1.58718i	−0.0257471	+	0.0724447i
$481$	4.12073	+	1.33890i	0.187889	+	0.0610488i
$482$	2.14005	−	2.94552i	0.0974765	−	0.134165i
$483$	6.06555	−	7.88612i	0.275992	−	0.358831i
$484$	−7.62167	+	7.93159i	−0.346440	+	0.360527i
$485$			13.9322i			0.632631i
$486$	−10.7947	+	11.2460i	−0.489659	+	0.510131i
$487$	−9.52955	+	29.3289i	−0.431825	+	1.32902i	0.464480	+	0.885583i	$0.346241\pi$
$487$	−9.52955	+	29.3289i	−0.431825	+	1.32902i	−0.896305	+	0.443437i	$0.853759\pi$
$488$	7.70043	−	2.50202i	0.348582	−	0.113261i
$489$	−0.750593	+	27.4659i	−0.0339430	+	1.24205i
$490$	0.571630	+	0.786781i	0.0258236	+	0.0355431i
$491$	10.4244	+	32.0829i	0.470445	+	1.44788i	0.852003	+	0.523536i	$0.175388\pi$
$491$	10.4244	+	32.0829i	0.470445	+	1.44788i	−0.381558	+	0.924345i	$0.624612\pi$
$492$	−2.74986	−	4.01087i	−0.123973	−	0.180824i
$493$	−8.29491	−	6.02660i	−0.373584	−	0.271425i
$494$	14.3183			0.644212
$495$	−9.29875	−	2.67692i	−0.417948	−	0.120319i
$496$	2.35888			0.105917
$497$	−11.5270	−	8.37489i	−0.517059	−	0.375665i
$498$	0.210399	+	0.306883i	0.00942822	+	0.0137517i
$499$	−4.39774	−	13.5348i	−0.196870	−	0.605903i	−0.999950	−	0.0100316i	$-0.996807\pi$
$499$	−4.39774	−	13.5348i	−0.196870	−	0.605903i	0.803080	−	0.595871i	$-0.203193\pi$
$500$	5.17566	+	7.12368i	0.231462	+	0.318581i
$501$	0.498931	−	18.2570i	0.0222906	−	0.815664i
$502$	−10.3756	+	3.37123i	−0.463084	+	0.150465i
$503$	−4.58119	+	14.0994i	−0.204265	+	0.628663i	0.795478	+	0.605983i	$0.207220\pi$
$503$	−4.58119	+	14.0994i	−0.204265	+	0.628663i	−0.999743	+	0.0226804i	$0.992780\pi$
$504$	−2.79828	−	1.08149i	−0.124645	−	0.0481736i
$505$		−	15.3802i		−	0.684411i
$506$	−17.5271	+	7.46540i	−0.779177	+	0.331877i
$507$	4.36232	−	5.67167i	0.193738	−	0.251888i
$508$	−5.16680	+	7.11149i	−0.229240	+	0.315521i
$509$	−17.5540	−	5.70365i	−0.778069	−	0.252810i	−0.107054	−	0.994253i	$-0.534142\pi$
$509$	−17.5540	−	5.70365i	−0.778069	−	0.252810i	−0.671016	+	0.741443i	$0.734142\pi$
$510$	1.06091	−	2.98509i	0.0469779	−	0.132182i
$511$	−8.42485	+	6.12101i	−0.372693	+	0.270778i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	24.8988	+	2.04539i	1.09931	+	0.0903061i
$514$	−19.2897	−	6.26761i	−0.850833	−	0.276453i
$515$	−1.23242	+	1.69628i	−0.0543067	+	0.0747468i
$516$	13.4989	+	10.3826i	0.594258	+	0.457069i
$517$	7.12132	+	8.17173i	0.313195	+	0.359392i
$518$			1.45490i			0.0639245i
$519$	19.5630	−	5.77055i	0.858721	−	0.253299i
$520$	−0.894980	+	2.75447i	−0.0392475	+	0.120791i
$521$	−25.9604	+	8.43505i	−1.13735	+	0.369546i	−0.816363	−	0.577539i	$-0.804013\pi$
$521$	−25.9604	+	8.43505i	−1.13735	+	0.369546i	−0.320983	+	0.947085i	$0.604013\pi$
$522$	12.6865	+	10.3214i	0.555275	+	0.451756i
$523$	7.89806	+	10.8708i	0.345358	+	0.475345i	0.945997	−	0.324176i	$-0.105087\pi$
$523$	7.89806	+	10.8708i	0.345358	+	0.475345i	−0.600639	+	0.799521i	$0.705087\pi$
$524$	−0.483957	−	1.48947i	−0.0211418	−	0.0650677i
$525$	−5.79164	+	3.97076i	−0.252768	+	0.173298i
$526$	−0.769069	−	0.558761i	−0.0335330	−	0.0243631i
$527$	−4.43645			−0.193255
$528$	3.65441	+	4.43230i	0.159038	+	0.192891i
$529$	−9.99391			−0.434518
$530$	−6.09004	−	4.42467i	−0.264534	−	0.192195i
$531$	0.863049	−	15.7787i	0.0374532	−	0.684737i
$532$	1.48573	+	4.57260i	0.0644145	+	0.198247i
$533$	−4.91471	−	6.76452i	−0.212880	−	0.293004i
$534$	−22.0372	−	0.602237i	−0.953645	−	0.0260613i
$535$	7.45157	−	2.42116i	0.322160	−	0.104676i
$536$	3.14087	−	9.66659i	0.135665	−	0.417533i
$537$	−9.18548	−	31.1401i	−0.396383	−	1.34380i
$538$		−	5.65627i		−	0.243859i
$539$	3.30364	−	0.293144i	0.142298	−	0.0126266i
$540$	−1.94980	+	4.66202i	−0.0839061	+	0.200621i
$541$	−11.8121	+	16.2580i	−0.507842	+	0.698984i	−0.983553	−	0.180617i	$-0.942191\pi$
$541$	−11.8121	+	16.2580i	−0.507842	+	0.698984i	0.475712	+	0.879601i	$0.342191\pi$
$542$	5.61372	+	1.82401i	0.241130	+	0.0783478i
$543$	−19.8424	−	7.05205i	−0.851518	−	0.302633i
$544$	−1.52155	+	1.10547i	−0.0652361	+	0.0473968i
$545$	−8.30555	+	6.03433i	−0.355771	+	0.258482i
$546$	−4.86034	−	1.72738i	−0.208003	−	0.0739251i
$547$	9.63257	+	3.12981i	0.411859	+	0.133821i	0.507616	−	0.861584i	$-0.330527\pi$
$547$	9.63257	+	3.12981i	0.411859	+	0.133821i	−0.0957566	+	0.995405i	$0.530527\pi$
$548$	10.2108	−	14.0539i	0.436182	−	0.600353i
$549$	23.4768	−	6.23317i	1.00196	−	0.266025i
$550$	13.3937	−	1.18847i	0.571109	−	0.0506765i
$551$		−	26.2109i		−	1.11662i
$552$	2.81477	+	9.54247i	0.119804	+	0.406155i
$553$	−0.0814555	+	0.250694i	−0.00346384	+	0.0106606i
$554$	22.2621	−	7.23339i	0.945826	−	0.307317i
$555$	2.44978	+	0.0669479i	0.103987	+	0.00284178i
$556$	−5.28847	−	7.27895i	−0.224281	−	0.308696i
$557$	7.52865	+	23.1708i	0.318999	+	0.981779i	0.974077	+	0.226217i	$0.0726359\pi$
$557$	7.52865	+	23.1708i	0.318999	+	0.981779i	−0.655078	+	0.755561i	$0.727364\pi$
$558$	7.06609	+	0.386494i	0.299131	+	0.0163616i
$559$	23.6890	+	17.2110i	1.00194	+	0.727950i
$560$	−0.972514			−0.0410962
$561$	−6.87300	−	8.33603i	−0.290178	−	0.351947i
$562$	23.7950			1.00373
$563$	21.6404	+	15.7227i	0.912033	+	0.662631i	0.941528	−	0.336934i	$-0.109390\pi$
$563$	21.6404	+	15.7227i	0.912033	+	0.662631i	−0.0294953	+	0.999565i	$0.509390\pi$
$564$	4.66873	−	3.20089i	0.196589	−	0.134782i
$565$	−1.07023	−	3.29384i	−0.0450250	−	0.138573i
$566$	−17.9919	−	24.7638i	−0.756258	−	1.04090i
$567$	−8.20511	−	3.69813i	−0.344582	−	0.155307i
$568$	13.5509	−	4.40294i	0.568581	−	0.184743i
$569$	9.23245	−	28.4146i	0.387045	−	1.19120i	−0.547942	−	0.836517i	$-0.684588\pi$
$569$	9.23245	−	28.4146i	0.387045	−	1.19120i	0.934986	−	0.354684i	$-0.115412\pi$
$570$	7.76778	−	2.29128i	0.325357	−	0.0959712i
$571$			22.1228i			0.925812i	0.886407	+	0.462906i	$0.153193\pi$
$571$			22.1228i			0.925812i	−0.886407	+	0.462906i	$0.846807\pi$
$572$	6.48919	+	7.44637i	0.271327	+	0.311348i
$573$	−31.6866	−	24.3715i	−1.32373	−	1.01814i
$574$	1.65030	−	2.27144i	0.0688822	−	0.0948083i
$575$	22.1478	+	7.19625i	0.923626	+	0.300104i
$576$	2.51974	−	1.62817i	0.104989	−	0.0678404i
$577$	−6.14231	+	4.46265i	−0.255708	+	0.185783i	−0.708253	−	0.705959i	$-0.750516\pi$
$577$	−6.14231	+	4.46265i	−0.255708	+	0.185783i	0.452545	+	0.891742i	$0.350516\pi$
$578$	−10.8916	+	7.91324i	−0.453032	+	0.329147i
$579$	14.7695	−	41.5569i	0.613799	−	1.72705i
$580$	5.04228	+	1.63833i	0.209369	+	0.0680281i
$581$	−0.126269	+	0.173794i	−0.00523852	+	0.00721020i
$582$	15.1279	−	19.6685i	0.627071	−	0.815286i
$583$	−23.6190	+	10.0601i	−0.978197	+	0.416647i
$584$		−	10.4137i		−	0.430921i
$585$	−3.13224	+	8.10442i	−0.129502	+	0.335077i
$586$	−6.45315	+	19.8607i	−0.266577	+	0.820440i
$587$	14.2370	−	4.62589i	0.587625	−	0.190931i	−8.86304e−5	−	1.00000i	$-0.500028\pi$
$587$	14.2370	−	4.62589i	0.587625	−	0.190931i	0.587714	+	0.809069i	$0.300028\pi$
$588$	0.0473160	−	1.73140i	0.00195128	−	0.0714019i
$589$	−6.66626	−	9.17531i	−0.274678	−	0.378062i
$590$	−1.58299	−	4.87193i	−0.0651705	−	0.200574i
$591$	22.9319	+	33.4478i	0.943291	+	1.37586i
$592$	−1.17704	−	0.855167i	−0.0483759	−	0.0351472i
$593$	4.30516			0.176792			0.0883958	−	0.996085i	$-0.471826\pi$
$593$	4.30516			0.176792			0.0883958	+	0.996085i	$0.471826\pi$
$594$	10.2206	+	13.8758i	0.419358	+	0.569332i
$595$	1.82905			0.0749837
$596$	5.20514	+	3.78175i	0.213211	+	0.154907i
$597$	12.5379	+	18.2874i	0.513141	+	0.748453i
$598$	5.28609	+	16.2689i	0.216164	+	0.665285i
$599$	−17.2040	−	23.6792i	−0.702935	−	0.967507i	−0.999920	−	0.0126246i	$-0.995981\pi$
$599$	−17.2040	−	23.6792i	−0.702935	−	0.967507i	0.296986	−	0.954882i	$-0.404019\pi$
$600$	0.191829	−	7.01949i	0.00783141	−	0.286569i
$601$	−9.83574	+	3.19583i	−0.401208	+	0.130361i	−0.502669	−	0.864479i	$-0.667648\pi$
$601$	−9.83574	+	3.19583i	−0.401208	+	0.130361i	0.101460	+	0.994840i	$0.467648\pi$
$602$	−3.03834	+	9.35104i	−0.123833	+	0.381120i
$603$	10.9924	−	28.4419i	0.447644	−	1.15824i
$604$			0.696585i			0.0283437i
$605$	−4.66578	+	9.62655i	−0.189691	+	0.391375i
$606$	−16.7001	+	21.7127i	−0.678396	+	0.882016i
$607$	−12.1178	+	16.6787i	−0.491846	+	0.676968i	−0.980727	−	0.195382i	$-0.937405\pi$
$607$	−12.1178	+	16.6787i	−0.491846	+	0.676968i	0.488881	+	0.872351i	$0.337405\pi$
$608$	−4.57260	−	1.48573i	−0.185443	−	0.0602542i
$609$	−3.16211	+	8.89725i	−0.128135	+	0.360535i
$610$	6.37033	−	4.62832i	0.257927	−	0.187395i
$611$	7.87403	−	5.72082i	0.318549	−	0.231440i
$612$	−4.73898	+	3.06217i	−0.191562	+	0.123781i
$613$	24.7946	+	8.05625i	1.00144	+	0.325389i	0.763442	−	0.645876i	$-0.223508\pi$
$613$	24.7946	+	8.05625i	1.00144	+	0.325389i	0.238001	+	0.971265i	$0.423508\pi$
$614$	−19.5860	+	26.9578i	−0.790425	+	1.08793i
$615$	−3.74875	−	2.88332i	−0.151164	−	0.116267i
$616$	−1.70468	+	2.84501i	−0.0686833	+	0.114629i
$617$		−	1.92818i		−	0.0776258i	−0.999246	−	0.0388129i	$-0.987642\pi$
$617$		−	1.92818i		−	0.0776258i	0.999246	−	0.0388129i	$-0.0123576\pi$
$618$	3.58168	−	1.05650i	0.144076	−	0.0424985i
$619$	13.8297	−	42.5635i	0.555863	−	1.71077i	−0.137791	−	0.990461i	$-0.544000\pi$
$619$	13.8297	−	42.5635i	0.555863	−	1.71077i	0.693654	−	0.720308i	$-0.256000\pi$
$620$	2.18177	−	0.708899i	0.0876219	−	0.0284701i
$621$	6.86820	+	29.0459i	0.275611	+	1.16557i
$622$	1.27023	+	1.74833i	0.0509317	+	0.0701015i
$623$	−3.93316	−	12.1050i	−0.157579	−	0.484977i
$624$	4.25432	−	2.91677i	0.170309	−	0.116764i
$625$	−9.47177	−	6.88164i	−0.378871	−	0.275266i
$626$	8.05831			0.322075
$627$	6.91283	−	26.7403i	0.276072	−	1.06790i
$628$	20.4369			0.815521
$629$	2.21370	+	1.60835i	0.0882662	+	0.0641291i
$630$	−2.91319	−	0.159343i	−0.116064	−	0.00634838i
$631$	10.9596	+	33.7302i	0.436295	+	1.34278i	0.891754	+	0.452521i	$0.149475\pi$
$631$	10.9596	+	33.7302i	0.436295	+	1.34278i	−0.455459	+	0.890257i	$0.650525\pi$
$632$	−0.154938	−	0.213253i	−0.00616309	−	0.00848276i
$633$	2.48453	+	0.0678975i	0.0987511	+	0.00269868i
$634$	11.3607	−	3.69131i	0.451190	−	0.146601i
$635$	−2.64169	+	8.13027i	−0.104832	+	0.322640i
$636$	3.79308	+	12.8591i	0.150405	+	0.509896i
$637$		−	2.97807i		−	0.117995i
$638$	13.6312	−	11.8790i	0.539664	−	0.470294i
$639$	41.3133	−	10.9688i	1.63433	−	0.433921i
$640$	0.571630	−	0.786781i	0.0225956	−	0.0311002i
$641$	34.3124	+	11.1488i	1.35526	+	0.440350i	0.894457	−	0.447154i	$-0.147562\pi$
$641$	34.3124	+	11.1488i	1.35526	+	0.440350i	0.460800	+	0.887504i	$0.347562\pi$
$642$	−13.1485	−	4.67303i	−0.518931	−	0.184430i
$643$	2.07919	−	1.51062i	0.0819954	−	0.0595731i	−0.546032	−	0.837764i	$-0.683862\pi$
$643$	2.07919	−	1.51062i	0.0819954	−	0.0595731i	0.628028	+	0.778191i	$0.283862\pi$
$644$	−4.64702	+	3.37626i	−0.183118	+	0.133043i
$645$	15.6056	+	5.54629i	0.614470	+	0.218385i
$646$	8.59989	+	2.79427i	0.338358	+	0.109939i
$647$	4.18832	−	5.76473i	0.164660	−	0.226635i	−0.718712	−	0.695308i	$-0.755268\pi$
$647$	4.18832	−	5.76473i	0.164660	−	0.226635i	0.883372	+	0.468673i	$0.155268\pi$
$648$	7.81469	−	4.46437i	0.306990	−	0.175377i
$649$	−17.0272	−	3.90888i	−0.668375	−	0.153437i
$650$		−	12.0737i		−	0.473571i
$651$	1.15593	+	3.91878i	0.0453045	+	0.153589i
$652$	4.90205	−	15.0870i	0.191979	−	0.590851i
$653$	−31.9028	+	10.3658i	−1.24845	+	0.405647i	−0.857366	−	0.514707i	$-0.827901\pi$
$653$	−31.9028	+	10.3658i	−1.24845	+	0.405647i	−0.391086	+	0.920354i	$0.627901\pi$
$654$	18.2773	+	0.499486i	0.714701	+	0.0195314i
$655$	−0.895240	−	1.23219i	−0.0349799	−	0.0481457i
$656$	0.867615	+	2.67024i	0.0338747	+	0.104255i
$657$	1.70625	−	31.1944i	0.0665670	−	1.21701i
$658$	2.64400	+	1.92098i	0.103074	+	0.0748877i
$659$	8.50928			0.331474			0.165737	−	0.986170i	$-0.447000\pi$
$659$	8.50928			0.331474			0.165737	+	0.986170i	$0.447000\pi$
$660$	4.71203	+	3.00127i	0.183416	+	0.116824i
$661$	11.6341			0.452514			0.226257	−	0.974068i	$-0.427351\pi$
$661$	11.6341			0.452514			0.226257	+	0.974068i	$0.427351\pi$
$662$	6.95175	+	5.05074i	0.270187	+	0.196303i
$663$	−8.00128	+	5.48569i	−0.310744	+	0.213047i
$664$	−0.0663835	−	0.204307i	−0.00257618	−	0.00792867i
$665$	2.74835	+	3.78278i	0.106576	+	0.146690i
$666$	−3.38572	−	2.75453i	−0.131194	−	0.106736i
$667$	29.7816	−	9.67662i	1.15315	−	0.374680i
$668$	−3.25847	+	10.0286i	−0.126074	+	0.388016i
$669$	−31.8191	+	9.38575i	−1.23020	+	0.362874i
$670$		−	9.88469i		−	0.381879i
$671$	−2.37350	−	26.7486i	−0.0916280	−	1.03262i
$672$	1.37292	+	1.05597i	0.0529617	+	0.0407351i
$673$	14.6111	−	20.1104i	0.563215	−	0.775199i	−0.428516	−	0.903534i	$-0.640963\pi$
$673$	14.6111	−	20.1104i	0.563215	−	0.775199i	0.991731	+	0.128335i	$0.0409633\pi$
$674$	22.0974	+	7.17988i	0.851159	+	0.276558i
$675$	1.72475	−	20.9956i	0.0663856	−	0.808121i
$676$	−3.34212	+	2.42819i	−0.128543	+	0.0933921i
$677$	8.59162	−	6.24218i	0.330203	−	0.239906i	−0.410314	−	0.911944i	$-0.634581\pi$
$677$	8.59162	−	6.24218i	0.330203	−	0.239906i	0.740517	+	0.672038i	$0.234581\pi$
$678$	−2.06563	+	5.81207i	−0.0793301	+	0.223211i
$679$	13.6248	+	4.42698i	0.522874	+	0.169892i
$680$	−1.07509	+	1.47973i	−0.0412278	+	0.0567451i
$681$	11.9414	−	15.5256i	0.457596	−	0.594943i
$682$	1.75049	−	7.62518i	0.0670299	−	0.291983i
$683$			51.5386i			1.97207i	0.166540	+	0.986035i	$0.446740\pi$
$683$			51.5386i			1.97207i	−0.166540	+	0.986035i	$0.553260\pi$
$684$	−13.4539	−	5.19974i	−0.514423	−	0.198817i
$685$	5.22057	−	16.0673i	0.199468	−	0.613898i
$686$	0.951057	−	0.309017i	0.0363115	−	0.0117983i
$687$	−1.16583	+	42.6604i	−0.0444791	+	1.62759i
$688$	−5.77926	−	7.95447i	−0.220332	−	0.303261i
$689$	7.12334	+	21.9234i	0.271378	+	0.835215i
$690$	5.47116	+	7.98008i	0.208283	+	0.303797i
$691$	27.6743	+	20.1066i	1.05278	+	0.764889i	0.972739	−	0.231902i	$-0.0744950\pi$
$691$	27.6743	+	20.1066i	1.05278	+	0.764889i	0.0800407	+	0.996792i	$0.474495\pi$
$692$	−11.7758			−0.447650
$693$	−5.57254	+	8.24299i	−0.211683	+	0.313125i
$694$	5.50471			0.208956
$695$	−7.07889	−	5.14311i	−0.268517	−	0.195089i
$696$	−5.33938	−	7.78787i	−0.202389	−	0.295199i
$697$	−1.63176	−	5.02204i	−0.0618073	−	0.190223i
$698$	−21.7056	−	29.8752i	−0.821570	−	1.13079i
$699$	−0.0929142	+	3.39995i	−0.00351434	+	0.128598i
$700$	3.85579	−	1.25282i	0.145735	−	0.0473522i
$701$	−4.29174	+	13.2086i	−0.162097	+	0.498882i	−0.998811	−	0.0487579i	$-0.984474\pi$
$701$	−4.29174	+	13.2086i	−0.162097	+	0.498882i	0.836714	+	0.547640i	$0.184474\pi$
$702$	13.2218	−	8.04018i	0.499025	−	0.303457i
$703$			6.99503i			0.263822i
$704$	−1.29968	−	3.05137i	−0.0489835	−	0.115003i
$705$	3.35624	−	4.36362i	0.126403	−	0.164343i
$706$	0.331761	−	0.456630i	0.0124860	−	0.0171855i
$707$	−15.0409	−	4.88707i	−0.565670	−	0.183797i
$708$	−3.05529	+	8.59667i	−0.114825	+	0.323082i
$709$	−23.0115	+	16.7188i	−0.864216	+	0.627890i	−0.929029	−	0.370008i	$-0.879355\pi$
$709$	−23.0115	+	16.7188i	−0.864216	+	0.627890i	0.0648128	+	0.997897i	$0.479355\pi$
$710$	11.2102	−	8.14470i	0.420712	−	0.305665i
$711$	−0.429178	−	0.664191i	−0.0160954	−	0.0249091i
$712$	12.1050	+	3.93316i	0.453654	+	0.147401i
$713$	7.96419	−	10.9618i	0.298261	−	0.410522i
$714$	−2.58212	−	1.98602i	−0.0966333	−	0.0743248i
$715$	8.23977	+	4.93711i	0.308150	+	0.184637i
$716$			18.7446i			0.700519i
$717$	13.4214	−	3.95895i	0.501233	−	0.147850i
$718$	−6.52838	+	20.0923i	−0.243637	+	0.749838i
$719$	4.09681	−	1.33114i	0.152785	−	0.0496430i	−0.231626	−	0.972805i	$-0.574404\pi$
$719$	4.09681	−	1.33114i	0.152785	−	0.0496430i	0.384411	+	0.923162i	$0.374404\pi$
$720$	1.84124	−	2.26316i	0.0686190	−	0.0843430i
$721$	1.26725	+	1.74422i	0.0471948	+	0.0649580i
$722$	1.27194	+	3.91462i	0.0473366	+	0.145687i
$723$	−5.20115	+	3.56592i	−0.193433	+	0.132618i
$724$	9.83603	+	7.14630i	0.365553	+	0.265590i
$725$	−22.1020			−0.820847
$726$	17.0395	−	8.52386i	0.632394	−	0.316350i
$727$	37.3480			1.38516			0.692581	−	0.721340i	$-0.256473\pi$
$727$	37.3480			1.38516			0.692581	+	0.721340i	$0.256473\pi$
$728$	2.40931	+	1.75047i	0.0892950	+	0.0648766i
$729$	24.1406	−	12.0927i	0.894095	−	0.447878i
$730$	−3.12956	−	9.63179i	−0.115830	−	0.356488i
$731$	10.8693	+	14.9603i	0.402016	+	0.553327i
$732$	−14.0187	−	0.383104i	−0.518145	−	0.0141599i
$733$	−31.8334	+	10.3433i	−1.17579	+	0.382038i	−0.830802	−	0.556568i	$-0.812118\pi$
$733$	−31.8334	+	10.3433i	−1.17579	+	0.382038i	−0.344990	+	0.938606i	$0.612118\pi$
$734$	5.62716	−	17.3186i	0.207702	−	0.639241i
$735$	−0.476564	−	1.61562i	−0.0175783	−	0.0595932i
$736$		−	5.74403i		−	0.211728i
$737$	−28.9168	−	17.3264i	−1.06517	−	0.638227i
$738$	2.16145	+	8.14093i	0.0795640	+	0.299672i
$739$	−11.8197	+	16.2684i	−0.434794	+	0.598443i	−0.969045	−	0.246883i	$-0.920594\pi$
$739$	−11.8197	+	16.2684i	−0.434794	+	0.598443i	0.534251	+	0.845326i	$0.320594\pi$
$740$	−1.34566	−	0.437231i	−0.0494674	−	0.0160729i
$741$	−23.3681	−	8.30511i	−0.858449	−	0.305096i
$742$	−6.26216	+	4.54972i	−0.229891	+	0.167026i
$743$	−17.0272	+	12.3710i	−0.624666	+	0.453847i	−0.854548	−	0.519372i	$-0.826166\pi$
$743$	−17.0272	+	12.3710i	−0.624666	+	0.453847i	0.229882	+	0.973218i	$0.426166\pi$
$744$	−3.84980	−	1.36823i	−0.141140	−	0.0501618i
$745$	5.95082	+	1.93354i	0.218021	+	0.0708394i
$746$	5.00527	−	6.88916i	0.183256	−	0.252230i
$747$	−0.165378	−	0.622884i	−0.00605088	−	0.0227901i
$748$	2.44436	+	5.73884i	0.0893747	+	0.209833i
$749$		−	8.05649i		−	0.294378i
$750$	−4.31492	−	14.6282i	−0.157558	−	0.534146i
$751$	4.23996	−	13.0493i	0.154718	−	0.476174i	−0.843414	−	0.537264i	$-0.819458\pi$
$751$	4.23996	−	13.0493i	0.154718	−	0.476174i	0.998132	+	0.0610901i	$0.0194577\pi$
$752$	−3.10821	+	1.00992i	−0.113345	+	0.0368280i
$753$	18.8888	+	0.516195i	0.688346	+	0.0188112i
$754$	−9.54285	−	13.1346i	−0.347530	−	0.478334i
$755$	0.209340	+	0.644283i	0.00761867	+	0.0234479i
$756$	3.93961	+	3.38814i	0.143282	+	0.123225i
$757$	33.6186	+	24.4254i	1.22189	+	0.887755i	0.996256	−	0.0864570i	$-0.0275545\pi$
$757$	33.6186	+	24.4254i	1.22189	+	0.887755i	0.225634	+	0.974212i	$0.427555\pi$
$758$	−32.7445			−1.18934
$759$	32.9352	−	2.01751i	1.19547	−	0.0732309i
$760$	−4.67577			−0.169608
$761$	39.9070	+	28.9941i	1.44663	+	1.05104i	0.986605	+	0.163130i	$0.0521589\pi$
$761$	39.9070	+	28.9941i	1.44663	+	1.05104i	0.460023	+	0.887907i	$0.347841\pi$
$762$	12.5573	−	8.60933i	0.454904	−	0.311883i
$763$	3.26210	+	10.0397i	0.118096	+	0.363462i
$764$	13.5659	+	18.6719i	0.490797	+	0.675524i
$765$	−3.46290	+	4.25642i	−0.125201	+	0.153891i
$766$	2.65494	−	0.862643i	0.0959270	−	0.0311686i
$767$	−4.84748	+	14.9190i	−0.175032	+	0.538694i
$768$	−1.66128	+	0.490033i	−0.0599465	+	0.0176825i
$769$			41.6236i			1.50099i	0.660879	+	0.750493i	$0.270184\pi$
$769$			41.6236i			1.50099i	−0.660879	+	0.750493i	$0.729816\pi$
$770$	−0.721689	+	3.14369i	−0.0260079	+	0.113291i
$771$	27.8462	+	21.4177i	1.00286	+	0.771339i
$772$	−14.9669	+	20.6001i	−0.538669	+	0.741415i
$773$	−32.1769	−	10.4549i	−1.15732	−	0.376037i	−0.333426	−	0.942776i	$-0.608205\pi$
$773$	−32.1769	−	10.4549i	−1.15732	−	0.376037i	−0.823897	+	0.566739i	$0.808205\pi$
$774$	−16.0086	−	24.7747i	−0.575417	−	0.890508i
$775$	−7.73697	+	5.62124i	−0.277920	+	0.201921i
$776$	−11.5900	+	8.42062i	−0.416056	+	0.302283i
$777$	0.843889	−	2.37445i	0.0302744	−	0.0851830i
$778$	−7.82929	−	2.54389i	−0.280694	−	0.0912029i
$779$	7.93451	−	10.9209i	0.284283	−	0.391283i
$780$	3.05833	−	3.97629i	0.109506	−	0.142374i
$781$	−4.17678	−	47.0710i	−0.149457	−	1.68433i
$782$			10.8031i			0.386316i
$783$	−14.7182	−	24.2036i	−0.525986	−	0.864966i
$784$	−0.309017	+	0.951057i	−0.0110363	+	0.0339663i
$785$	18.9024	−	6.14177i	0.674656	−	0.219209i
$786$	−0.0741026	+	2.71159i	−0.00264315	+	0.0967191i
$787$	2.96063	+	4.07496i	0.105535	+	0.145257i	0.858518	−	0.512784i	$-0.171386\pi$
$787$	2.96063	+	4.07496i	0.105535	+	0.145257i	−0.752983	+	0.658040i	$0.771386\pi$
$788$	−7.23528	−	22.2679i	−0.257746	−	0.793261i
$789$	0.931052	+	1.35801i	0.0331463	+	0.0483463i
$790$	−0.207392	−	0.150679i	−0.00737867	−	0.00536092i
$791$	−3.56123			−0.126623
$792$	−3.39326	−	9.35338i	−0.120574	−	0.332358i
$793$	−24.1126			−0.856263
$794$	−15.2506	−	11.0802i	−0.541223	−	0.393222i
$795$	7.37274	+	10.7537i	0.261484	+	0.381394i
$796$	−3.95585	−	12.1748i	−0.140211	−	0.431526i
$797$	29.8451	+	41.0783i	1.05717	+	1.45507i	0.882424	+	0.470455i	$0.155910\pi$
$797$	29.8451	+	41.0783i	1.05717	+	1.45507i	0.174745	+	0.984614i	$0.444090\pi$
$798$	0.227492	−	8.32445i	0.00805312	−	0.294682i
$799$	5.84575	−	1.89940i	0.206808	−	0.0671960i
$800$	−1.25282	+	3.85579i	−0.0442939	+	0.136323i
$801$	35.6164	+	13.7652i	1.25844	+	0.486370i
$802$			4.15152i			0.146595i
$803$	−33.6627	−	7.72785i	−1.18793	−	0.272710i
$804$	−10.7330	+	13.9545i	−0.378523	+	0.492136i
$805$	−3.28346	+	4.51929i	−0.115727	+	0.159284i
$806$	−6.68110	−	2.17082i	−0.235332	−	0.0764639i
$807$	−3.28083	+	9.23128i	−0.115491	+	0.324956i
$808$	12.7945	−	9.29577i	0.450110	−	0.327024i
$809$	19.1202	−	13.8916i	0.672230	−	0.488404i	−0.198541	−	0.980093i	$-0.563620\pi$
$809$	19.1202	−	13.8916i	0.672230	−	0.488404i	0.870771	+	0.491689i	$0.163620\pi$
$810$	5.88629	−	6.47766i	0.206823	−	0.227602i
$811$	−47.1118	−	15.3076i	−1.65432	−	0.537521i	−0.674649	−	0.738138i	$-0.735705\pi$
$811$	−47.1118	−	15.3076i	−1.65432	−	0.537521i	−0.979670	+	0.200618i	$0.935705\pi$
$812$	3.20437	−	4.41044i	0.112451	−	0.154776i
$813$	−8.10384	−	6.23300i	−0.284214	−	0.218601i
$814$	−3.63782	+	3.17021i	−0.127506	+	0.111116i
$815$		−	15.4274i		−	0.540397i
$816$	3.12445	−	0.921627i	0.109378	−	0.0322634i
$817$	−14.6081	+	44.9590i	−0.511072	+	1.57292i
$818$	32.6539	−	10.6099i	1.14172	−	0.370967i
$819$	6.93034	+	5.63832i	0.242166	+	0.197019i
$820$	1.60494	+	2.20901i	0.0560470	+	0.0771421i
$821$	14.9440	+	45.9927i	0.521547	+	1.60516i	0.771044	+	0.636782i	$0.219735\pi$
$821$	14.9440	+	45.9927i	0.521547	+	1.60516i	−0.249496	+	0.968376i	$0.580265\pi$
$822$	−24.8161	+	17.0140i	−0.865562	+	0.593431i
$823$	−8.18034	−	5.94336i	−0.285149	−	0.207173i	0.436011	−	0.899941i	$-0.356391\pi$
$823$	−8.18034	−	5.94336i	−0.285149	−	0.207173i	−0.721160	+	0.692769i	$0.756391\pi$
$824$	−2.15597			−0.0751068
$825$	−22.5484	−	5.82916i	−0.785035	−	0.202945i
$826$	−5.26743			−0.183277
$827$	30.9327	+	22.4740i	1.07564	+	0.781496i	0.976917	−	0.213619i	$-0.0685252\pi$
$827$	30.9327	+	22.4740i	1.07564	+	0.781496i	0.0987201	+	0.995115i	$0.468525\pi$
$828$	0.941139	−	17.2064i	0.0327068	−	0.597963i
$829$	0.942993	+	2.90223i	0.0327515	+	0.100799i	0.966096	−	0.258183i	$-0.0831239\pi$
$829$	0.942993	+	2.90223i	0.0327515	+	0.100799i	−0.933344	+	0.358982i	$0.883124\pi$
$830$	−0.122798	−	0.169017i	−0.00426239	−	0.00586668i
$831$	−40.5283	−	1.10756i	−1.40591	−	0.0384209i
$832$	−2.83231	+	0.920275i	−0.0981928	+	0.0319048i
$833$	0.581182	−	1.78869i	0.0201368	−	0.0619746i
$834$	4.40897	+	14.9470i	0.152670	+	0.517574i
$835$			10.2548i			0.354883i
$836$	−8.19594	+	13.6786i	−0.283462	+	0.473083i
$837$	−11.3080	−	4.72934i	−0.390861	−	0.163470i
$838$	−0.352046	+	0.484550i	−0.0121612	+	0.0167385i
$839$	29.4426	+	9.56648i	1.01647	+	0.330272i	0.769429	−	0.638733i	$-0.220541\pi$
$839$	29.4426	+	9.56648i	1.01647	+	0.330272i	0.247043	+	0.969004i	$0.420541\pi$
$840$	1.58718	+	0.564091i	0.0547631	+	0.0194630i
$841$	−0.582478	+	0.423195i	−0.0200855	+	0.0145929i
$842$	3.28161	−	2.38423i	0.113092	−	0.0821660i
$843$	−38.8344	−	13.8019i	−1.33753	−	0.475362i
$844$	−1.36475	−	0.443433i	−0.0469765	−	0.0152636i
$845$	−2.36145	+	3.25026i	−0.0812365	+	0.111812i
$846$	−9.47620	+	2.51597i	−0.325798	+	0.0865008i
$847$	7.93159	+	7.62167i	0.272533	+	0.261884i
$848$		−	7.74045i		−	0.265808i
$849$	14.9998	+	50.8515i	0.514791	+	1.74522i
$850$	2.35624	−	7.25175i	0.0808182	−	0.248733i
$851$	−7.94796	+	2.58245i	−0.272452	+	0.0885252i
$852$	−24.6694	−	0.674169i	−0.845160	−	0.0230967i
$853$	−18.5370	−	25.5140i	−0.634696	−	0.873584i	0.363623	−	0.931546i	$-0.381540\pi$
$853$	−18.5370	−	25.5140i	−0.634696	−	0.873584i	−0.998319	+	0.0579620i	$0.981540\pi$
$854$	−2.50202	−	7.70043i	−0.0856174	−	0.263503i
$855$	−14.0064	−	0.766108i	−0.479008	−	0.0262003i
$856$	6.51784	+	4.73548i	0.222775	+	0.161856i
$857$	−9.35552			−0.319579			−0.159789	−	0.987151i	$-0.551081\pi$
$857$	−9.35552			−0.319579			−0.159789	+	0.987151i	$0.551081\pi$
$858$	−6.27149	−	15.9167i	−0.214105	−	0.543388i
$859$	14.7846			0.504443			0.252221	−	0.967670i	$-0.418839\pi$
$859$	14.7846			0.504443			0.252221	+	0.967670i	$0.418839\pi$
$860$	−7.73583	−	5.62041i	−0.263790	−	0.191654i
$861$	−4.01087	+	2.74986i	−0.136690	+	0.0937151i
$862$	−2.20955	−	6.80031i	−0.0752577	−	0.231619i
$863$	−29.0337	−	39.9615i	−0.988320	−	1.36031i	−0.932224	−	0.361881i	$-0.882135\pi$
$863$	−29.0337	−	39.9615i	−0.988320	−	1.36031i	−0.0560960	−	0.998425i	$-0.517865\pi$
$864$	−5.05671	+	1.19571i	−0.172033	+	0.0406789i
$865$	−10.8917	+	3.53891i	−0.370327	+	0.120327i
$866$	−7.93482	+	24.4209i	−0.269636	+	0.829855i
$867$	22.3656	−	6.59722i	0.759574	−	0.224053i
$868$		−	2.35888i		−	0.0800657i
$869$	−0.804326	+	0.342589i	−0.0272849	+	0.0116216i
$870$	−7.27892	−	5.59852i	−0.246778	−	0.189808i
$871$	−17.7918	+	24.4884i	−0.602854	+	0.829757i
$872$	−10.0397	−	3.26210i	−0.339987	−	0.110469i
$873$	−36.0977	+	23.3252i	−1.22172	+	0.789437i
$874$	−22.3425	+	16.2328i	−0.755746	+	0.549082i
$875$	7.12368	−	5.17566i	0.240824	−	0.174969i
$876$	−6.04029	+	16.9956i	−0.204082	+	0.574227i
$877$	−13.1529	−	4.27364i	−0.444142	−	0.144311i	0.0784037	−	0.996922i	$-0.475018\pi$
$877$	−13.1529	−	4.27364i	−0.444142	−	0.144311i	−0.522546	+	0.852611i	$0.675018\pi$
$878$	16.0603	−	22.1052i	0.542011	−	0.746014i
$879$	22.0517	−	28.6705i	0.743786	−	0.967033i
$880$	−2.11910	−	2.43167i	−0.0714349	−	0.0819717i
$881$		−	1.40217i		−	0.0472402i	−0.999721	−	0.0236201i	$-0.992481\pi$
$881$		−	1.40217i		−	0.0472402i	0.999721	−	0.0236201i	$-0.00751921\pi$
$882$	−1.08149	+	2.79828i	−0.0364158	+	0.0942230i
$883$	13.2851	−	40.8873i	0.447079	−	1.37597i	−0.433109	−	0.901342i	$-0.642583\pi$
$883$	13.2851	−	40.8873i	0.447079	−	1.37597i	0.880188	−	0.474626i	$-0.157417\pi$
$884$	5.32686	−	1.73080i	0.179162	−	0.0582131i
$885$	−0.242384	+	8.86938i	−0.00814763	+	0.298141i
$886$	−8.21257	−	11.3036i	−0.275907	−	0.379753i
$887$	−9.12629	−	28.0878i	−0.306431	−	0.943097i	−0.979139	−	0.203190i	$-0.934869\pi$
$887$	−9.12629	−	28.0878i	−0.306431	−	0.943097i	0.672709	−	0.739908i	$-0.265131\pi$
$888$	1.42495	+	2.07839i	0.0478181	+	0.0697462i
$889$	7.11149	+	5.16680i	0.238512	+	0.173289i
$890$	12.3781			0.414916
$891$	−8.63207	−	28.5742i	−0.289185	−	0.957273i
$892$	19.1533			0.641300
$893$	12.7122	+	9.23592i	0.425396	+	0.309068i
$894$	−6.30146	−	9.19113i	−0.210752	−	0.307398i
$895$	5.63319	+	17.3372i	0.188297	+	0.579518i
$896$	−0.587785	−	0.809017i	−0.0196365	−	0.0270274i
$897$	0.809395	−	29.6176i	0.0270249	−	0.988904i
$898$	24.1041	−	7.83189i	0.804364	−	0.261354i
$899$	−3.97386	+	12.2303i	−0.132536	+	0.407903i
$900$	−4.38461	+	11.3448i	−0.146154	+	0.378161i
$901$			14.5578i			0.484991i
$902$	9.27551	−	0.823049i	0.308841	−	0.0274045i
$903$	10.3826	−	13.4989i	0.345512	−	0.449217i
$904$	2.09324	−	2.88109i	0.0696200	−	0.0958238i
$905$	11.2451	+	3.65377i	0.373801	+	0.121455i
$906$	0.404043	−	1.13686i	0.0134234	−	0.0377695i
$907$	33.0151	−	23.9869i	1.09625	−	0.796471i	0.115804	−	0.993272i	$-0.463055\pi$
$907$	33.0151	−	23.9869i	1.09625	−	0.796471i	0.980443	+	0.196801i	$0.0630554\pi$
$908$	−9.14872	+	6.64693i	−0.303611	+	0.220586i
$909$	39.8494	−	25.7493i	1.32172	−	0.854052i
$910$	2.75447	+	0.894980i	0.0913096	+	0.0296683i
$911$	17.1819	−	23.6489i	0.569263	−	0.783523i	−0.423204	−	0.906034i	$-0.639095\pi$
$911$	17.1819	−	23.6489i	0.569263	−	0.783523i	0.992467	+	0.122511i	$0.0390947\pi$
$912$	6.60090	+	5.07703i	0.218578	+	0.168117i
$913$	−0.709694	+	0.0629737i	−0.0234875	+	0.00208412i
$914$			14.9222i			0.493583i
$915$	−13.0812	+	3.85860i	−0.432452	+	0.127561i
$916$	7.61392	−	23.4332i	0.251571	−	0.774256i
$917$	−1.48947	+	0.483957i	−0.0491866	+	0.0159817i
$918$	9.51037	−	2.24882i	0.313889	−	0.0742222i
$919$	−8.81334	−	12.1305i	−0.290725	−	0.400149i	0.638524	−	0.769602i	$-0.279545\pi$
$919$	−8.81334	−	12.1305i	−0.290725	−	0.400149i	−0.929250	+	0.369453i	$0.879545\pi$
$920$	−1.72622	−	5.31275i	−0.0569117	−	0.175156i
$921$	47.6015	−	32.6357i	1.56852	−	1.07538i
$922$	−17.8333	−	12.9567i	−0.587309	−	0.426705i
$923$	−42.4322			−1.39667
$924$	4.43230	−	3.65441i	0.145812	−	0.120221i
$925$	5.89847			0.193940
$926$	4.63481	+	3.36739i	0.152309	+	0.110659i
$927$	−6.45826	−	0.353248i	−0.212117	−	0.0116022i
$928$	1.68464	+	5.18478i	0.0553010	+	0.170199i
$929$	12.9942	+	17.8849i	0.426325	+	0.586786i	0.967105	−	0.254378i	$-0.0818708\pi$
$929$	12.9942	+	17.8849i	0.426325	+	0.586786i	−0.540780	+	0.841164i	$0.681871\pi$
$930$	−3.97192	−	0.108545i	−0.130244	−	0.00355934i
$931$	4.57260	−	1.48573i	0.149861	−	0.0486928i
$932$	0.606815	−	1.86758i	0.0198769	−	0.0611747i
$933$	−1.05899	−	3.59012i	−0.0346696	−	0.117535i
$934$		−	34.6920i		−	1.13516i
$935$	3.98548	+	4.57335i	0.130339	+	0.149565i
$936$	−8.63504	+	2.29264i	−0.282245	+	0.0749372i
$937$	−28.3089	+	38.9638i	−0.924811	+	1.27289i	0.0370390	+	0.999314i	$0.488207\pi$
$937$	−28.3089	+	38.9638i	−0.924811	+	1.27289i	−0.961850	+	0.273579i	$0.911793\pi$
$938$	−9.66659	−	3.14087i	−0.315625	−	0.102553i
$939$	−13.1515	−	4.67409i	−0.429183	−	0.152533i
$940$	−2.57133	+	1.86818i	−0.0838676	+	0.0609334i
$941$	45.5299	−	33.0794i	1.48423	−	1.07836i	0.508069	−	0.861317i	$-0.330360\pi$
$941$	45.5299	−	33.0794i	1.48423	−	1.07836i	0.976163	−	0.217041i	$-0.0696404\pi$
$942$	−33.3539	−	11.8541i	−1.08673	−	0.386227i
$943$	15.3380	+	4.98361i	0.499473	+	0.162289i
$944$	3.09612	−	4.26144i	0.100770	−	0.138698i
$945$	4.66202	+	1.94980i	0.151656	+	0.0634270i
$946$	−30.0018	+	12.7788i	−0.975444	+	0.415474i
$947$		−	10.2133i		−	0.331887i	−0.986135	−	0.165944i	$-0.946933\pi$
$947$		−	10.2133i		−	0.331887i	0.986135	−	0.165944i	$-0.0530670\pi$
$948$	0.129171	+	0.437907i	0.00419526	+	0.0142226i
$949$	−9.58345	+	29.4948i	−0.311092	+	0.957443i
$950$	18.5383	−	6.02346i	0.601462	−	0.195427i
$951$	−20.6822	−	0.565206i	−0.670666	−	0.0183281i
$952$	1.10547	+	1.52155i	0.0358286	+	0.0493138i
$953$	0.593506	+	1.82662i	0.0192255	+	0.0591701i	0.960209	−	0.279282i	$-0.0900966\pi$
$953$	0.593506	+	1.82662i	0.0192255	+	0.0591701i	−0.940983	+	0.338453i	$0.890097\pi$
$954$	1.26825	−	23.1867i	0.0410610	−	0.750697i
$955$	18.1586	+	13.1930i	0.587600	+	0.426916i
$956$	−8.07895			−0.261292
$957$	−29.1369	+	11.4805i	−0.941862	+	0.371111i
$958$	9.68609			0.312943
$959$	−14.0539	−	10.2108i	−0.453824	−	0.329723i
$960$	−1.38928	+	0.952494i	−0.0448389	+	0.0307416i
$961$	−7.86006	−	24.1908i	−0.253550	−	0.780347i
$962$	2.54675	+	3.50530i	0.0821105	+	0.113015i
$963$	18.7484	+	15.2532i	0.604160	+	0.491527i
$964$	3.46267	−	1.12509i	0.111525	−	0.0362367i
$965$	−7.65227	+	23.5513i	−0.246335	+	0.758142i
$966$	9.54247	−	2.81477i	0.307024	−	0.0905636i
$967$			11.9518i			0.384343i	0.981361	+	0.192171i	$0.0615529\pi$
$967$			11.9518i			0.384343i	−0.981361	+	0.192171i	$0.938447\pi$
$968$	−10.8281	+	1.93689i	−0.348029	+	0.0622539i
$969$	−12.4146	−	9.54860i	−0.398815	−	0.306745i
$970$	−8.18917	+	11.2714i	−0.262938	+	0.361904i
$971$	39.4044	+	12.8033i	1.26455	+	0.410876i	0.863112	−	0.505012i	$-0.168512\pi$
$971$	39.4044	+	12.8033i	1.26455	+	0.410876i	0.401434	+	0.915888i	$0.368512\pi$
$972$	−15.3434	+	2.75325i	−0.492139	+	0.0883106i
$973$	−7.27895	+	5.28847i	−0.233353	+	0.169541i
$974$	−24.9487	+	18.1263i	−0.799407	+	0.580803i
$975$	−7.00318	+	19.7049i	−0.224281	+	0.631061i
$976$	7.70043	+	2.50202i	0.246485	+	0.0800877i
$977$	5.24241	−	7.21556i	0.167720	−	0.230846i	−0.716881	−	0.697195i	$-0.754431\pi$
$977$	5.24241	−	7.21556i	0.167720	−	0.230846i	0.884601	+	0.466349i	$0.154431\pi$
$978$	−16.7513	+	21.7792i	−0.535648	+	0.696423i
$979$	21.6970	−	36.2112i	0.693440	−	1.15731i
$980$			0.972514i			0.0310658i
$981$	−29.5397	−	11.4167i	−0.943129	−	0.364506i
$982$	−10.4244	+	32.0829i	−0.332655	+	1.02381i
$983$	48.1199	−	15.6351i	1.53479	−	0.498683i	0.584855	−	0.811138i	$-0.301151\pi$
$983$	48.1199	−	15.6351i	1.53479	−	0.498683i	0.949933	+	0.312455i	$0.101151\pi$
$984$	0.132847	−	4.86119i	0.00423502	−	0.154969i
$985$	−13.3841	−	18.4216i	−0.426451	−	0.586960i
$986$	−3.16837	−	9.75125i	−0.100902	−	0.310543i
$987$	−3.20089	−	4.66873i	−0.101886	−	0.148607i
$988$	11.5838	+	8.41610i	0.368529	+	0.267752i
$989$	−56.4768			−1.79586
$990$	−5.94939	−	7.63134i	−0.189084	−	0.242540i
$991$	−17.9587			−0.570476			−0.285238	−	0.958457i	$-0.592073\pi$
$991$	−17.9587			−0.570476			−0.285238	+	0.958457i	$0.592073\pi$
$992$	1.90838	+	1.38652i	0.0605910	+	0.0440219i
$993$	−8.41594	−	12.2753i	−0.267072	−	0.389544i
$994$	−4.40294	−	13.5509i	−0.139653	−	0.429807i
$995$	−7.31765	−	10.0719i	−0.231985	−	0.319300i
$996$	−0.0101645	+	0.371943i	−0.000322075	+	0.0117855i
$997$	12.5835	−	4.08862i	0.398523	−	0.129488i	−0.102897	−	0.994692i	$-0.532811\pi$
$997$	12.5835	−	4.08862i	0.398523	−	0.129488i	0.501420	+	0.865204i	$0.332811\pi$
$998$	4.39774	−	13.5348i	0.139208	−	0.428438i
$999$	3.92793	+	6.45933i	0.124274	+	0.204364i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.b.29.5	yes	48
3.2	odd	2		462.2.w.a.29.11	✓	48
11.8	odd	10		462.2.w.a.239.11	yes	48
33.8	even	10	inner	462.2.w.b.239.5	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.11	✓	48	3.2	odd	2
462.2.w.a.239.11	yes	48	11.8	odd	10
462.2.w.b.29.5	yes	48	1.1	even	1	trivial
462.2.w.b.239.5	yes	48	33.8	even	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.979414 - 1.42855i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.571630 + 0.786781i) q^{5} +(0.0473160 - 1.73140i) q^{6} +(0.951057 - 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.08149 + 2.79828i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.979414 - 1.42855i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.571630 + 0.786781i) q^{5} +(0.0473160 - 1.73140i) q^{6} +(0.951057 - 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.08149 + 2.79828i) q^{9} +0.972514i q^{10} +(2.84501 + 1.70468i) q^{11} +(1.05597 - 1.37292i) q^{12} +(1.75047 - 2.40931i) q^{13} +(0.951057 + 0.309017i) q^{14} +(0.564091 - 1.58718i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.52155 - 1.10547i) q^{17} +(-2.51974 + 1.62817i) q^{18} +(4.57260 + 1.48573i) q^{19} +(-0.571630 + 0.786781i) q^{20} +(-1.37292 - 1.05597i) q^{21} +(1.29968 + 3.05137i) q^{22} +5.74403i q^{23} +(1.66128 - 0.490033i) q^{24} +(1.25282 - 3.85579i) q^{25} +(2.83231 - 0.920275i) q^{26} +(5.05671 - 1.19571i) q^{27} +(0.587785 + 0.809017i) q^{28} +(-1.68464 - 5.18478i) q^{29} +(1.38928 - 0.952494i) q^{30} +(-1.90838 - 1.38652i) q^{31} -1.00000 q^{32} +(-0.351235 - 5.73381i) q^{33} +1.88074 q^{34} +(0.786781 + 0.571630i) q^{35} +(-2.99552 - 0.163846i) q^{36} +(0.449588 + 1.38369i) q^{37} +(2.82602 + 3.88969i) q^{38} +(-5.15625 - 0.140911i) q^{39} +(-0.924916 + 0.300523i) q^{40} +(0.867615 - 2.67024i) q^{41} +(-0.490033 - 1.66128i) q^{42} +9.83226i q^{43} +(-0.742086 + 3.23254i) q^{44} +(-2.81985 + 0.748680i) q^{45} +(-3.37626 + 4.64702i) q^{46} +(3.10821 + 1.00992i) q^{47} +(1.63204 + 0.580034i) q^{48} +(0.809017 - 0.587785i) q^{49} +(3.27993 - 2.38301i) q^{50} +(-3.06945 - 1.09089i) q^{51} +(2.83231 + 0.920275i) q^{52} +(-4.54972 + 6.26216i) q^{53} +(4.79378 + 2.00491i) q^{54} +(0.285087 + 3.21284i) q^{55} +1.00000i q^{56} +(-2.35604 - 7.98732i) q^{57} +(1.68464 - 5.18478i) q^{58} +(-5.00962 + 1.62773i) q^{59} +(1.68382 + 0.0460155i) q^{60} +(-4.75913 - 6.55038i) q^{61} +(-0.728935 - 2.24343i) q^{62} +(-0.163846 + 2.99552i) q^{63} +(-0.809017 - 0.587785i) q^{64} +2.89622 q^{65} +(3.08610 - 4.84520i) q^{66} -10.1641 q^{67} +(1.52155 + 1.10547i) q^{68} +(8.20562 - 5.62579i) q^{69} +(0.300523 + 0.924916i) q^{70} +(-8.37489 - 11.5270i) q^{71} +(-2.32712 - 1.89328i) q^{72} +(-9.90401 + 3.21801i) q^{73} +(-0.449588 + 1.38369i) q^{74} +(-6.73521 + 1.98670i) q^{75} +4.80792i q^{76} +(3.23254 + 0.742086i) q^{77} +(-4.08867 - 3.14476i) q^{78} +(-0.154938 + 0.213253i) q^{79} +(-0.924916 - 0.300523i) q^{80} +(-6.66074 - 6.05265i) q^{81} +(2.27144 - 1.65030i) q^{82} +(-0.173794 + 0.126269i) q^{83} +(0.580034 - 1.63204i) q^{84} +(1.73953 + 0.565208i) q^{85} +(-5.77926 + 7.95447i) q^{86} +(-5.75675 + 7.48464i) q^{87} +(-2.50040 + 2.17899i) q^{88} -12.7280i q^{89} +(-2.72137 - 1.05177i) q^{90} +(0.920275 - 2.83231i) q^{91} +(-5.46290 + 1.77500i) q^{92} +(-0.111613 + 4.08418i) q^{93} +(1.92098 + 2.64400i) q^{94} +(1.44489 + 4.44692i) q^{95} +(0.979414 + 1.42855i) q^{96} +(11.5900 + 8.42062i) q^{97} +1.00000 q^{98} +(-7.84702 + 6.11754i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

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