LMFDB - Embedded newform 462.2.w.a.29.11

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			29.11
Character	$\chi$	$=$	462.29
Dual form			462.2.w.a.239.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(1.63204 - 0.580034i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.571630 - 0.786781i) q^{5} +(-1.66128 - 0.490033i) q^{6} +(0.951057 - 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.32712 - 1.89328i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(1.63204 - 0.580034i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.571630 - 0.786781i) q^{5} +(-1.66128 - 0.490033i) q^{6} +(0.951057 - 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.32712 - 1.89328i) 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} +(-1.38928 - 0.952494i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.52155 + 1.10547i) q^{17} +(-2.99552 + 0.163846i) 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} +(-0.0473160 - 1.73140i) q^{24} +(1.25282 - 3.85579i) q^{25} +(-2.83231 + 0.920275i) q^{26} +(2.69980 - 4.43972i) q^{27} +(0.587785 + 0.809017i) q^{28} +(1.68464 + 5.18478i) q^{29} +(0.564091 + 1.58718i) q^{30} +(-1.90838 - 1.38652i) q^{31} +1.00000 q^{32} +(-5.63194 - 1.13190i) q^{33} +1.88074 q^{34} +(-0.786781 - 0.571630i) q^{35} +(2.51974 + 1.62817i) q^{36} +(0.449588 + 1.38369i) q^{37} +(-2.82602 - 3.88969i) q^{38} +(1.45935 - 4.94742i) q^{39} +(-0.924916 + 0.300523i) q^{40} +(-0.867615 + 2.67024i) q^{41} +(-1.73140 + 0.0473160i) 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} +(-0.979414 + 1.42855i) q^{48} +(0.809017 - 0.587785i) q^{49} +(-3.27993 + 2.38301i) q^{50} +(-1.84203 + 2.68673i) 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} +(8.32445 - 0.227492i) q^{57} +(1.68464 - 5.18478i) q^{58} +(5.00962 - 1.62773i) q^{59} +(0.476564 - 1.61562i) q^{60} +(-4.75913 - 6.55038i) q^{61} +(0.728935 + 2.24343i) q^{62} +(1.62817 - 2.51974i) q^{63} +(-0.809017 - 0.587785i) q^{64} -2.89622 q^{65} +(3.89103 + 4.22610i) q^{66} -10.1641 q^{67} +(-1.52155 - 1.10547i) q^{68} +(-3.33173 - 9.37450i) q^{69} +(0.300523 + 0.924916i) q^{70} +(8.37489 + 11.5270i) q^{71} +(-1.08149 - 2.79828i) q^{72} +(-9.90401 + 3.21801i) q^{73} +(0.449588 - 1.38369i) q^{74} +(-0.191829 - 7.01949i) 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} +(1.83099 - 8.81178i) q^{81} +(2.27144 - 1.65030i) q^{82} +(0.173794 - 0.126269i) q^{83} +(1.42855 + 0.979414i) 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} +(1.84124 + 2.26316i) q^{90} +(0.920275 - 2.83231i) q^{91} +(5.46290 - 1.77500i) q^{92} +(-3.91878 - 1.15593i) q^{93} +(1.92098 + 2.64400i) q^{94} +(-1.44489 - 4.44692i) q^{95} +(1.63204 - 0.580034i) q^{96} +(11.5900 + 8.42062i) q^{97} -1.00000 q^{98} +(-9.84811 + 1.41941i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * 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
$3$	1.63204	−	0.580034i	0.942260	−	0.334883i
$3$	1.63204	−	0.580034i	0.942260	−	0.334883i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−0.571630	−	0.786781i	−0.255640	−	0.351859i	0.661836	−	0.749648i	$-0.269777\pi$
$5$	−0.571630	−	0.786781i	−0.255640	−	0.351859i	−0.917477	+	0.397790i	$0.869777\pi$
$6$	−1.66128	−	0.490033i	−0.678217	−	0.200055i
$7$	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
$9$	2.32712	−	1.89328i	0.775707	−	0.631093i
$10$			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
$15$	−1.38928	−	0.952494i	−0.358711	−	0.245933i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−1.52155	+	1.10547i	−0.369031	+	0.268117i	−0.756809	−	0.653636i	$-0.773243\pi$
$17$	−1.52155	+	1.10547i	−0.369031	+	0.268117i	0.387778	+	0.921753i	$0.373243\pi$
$18$	−2.99552	+	0.163846i	−0.706051	+	0.0386190i
$19$	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	$-0.795622\pi$
$23$		−	5.74403i		−	1.19771i	0.800856	−	0.598857i	$-0.204378\pi$
$24$	−0.0473160	−	1.73140i	−0.00965835	−	0.353421i
$25$	1.25282	−	3.85579i	0.250564	−	0.771158i
$26$	−2.83231	+	0.920275i	−0.555462	+	0.180481i
$27$	2.69980	−	4.43972i	0.519576	−	0.854424i
$28$	0.587785	+	0.809017i	0.111081	+	0.152890i
$29$	1.68464	+	5.18478i	0.312829	+	0.962790i	0.976639	+	0.214888i	$0.0689387\pi$
$29$	1.68464	+	5.18478i	0.312829	+	0.962790i	−0.663809	+	0.747902i	$0.731061\pi$
$30$	0.564091	+	1.58718i	0.102988	+	0.289779i
$31$	−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
$33$	−5.63194	−	1.13190i	−0.980396	−	0.197038i
$34$	1.88074			0.322545
$35$	−0.786781	−	0.571630i	−0.132990	−	0.0966230i
$36$	2.51974	+	1.62817i	0.419956	+	0.271362i
$37$	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
$39$	1.45935	−	4.94742i	0.233684	−	0.792222i
$40$	−0.924916	+	0.300523i	−0.146242	+	0.0475169i
$41$	−0.867615	+	2.67024i	−0.135499	+	0.417022i	−0.995667	−	0.0929878i	$-0.970358\pi$
$41$	−0.867615	+	2.67024i	−0.135499	+	0.417022i	0.860169	+	0.510010i	$0.170358\pi$
$42$	−1.73140	+	0.0473160i	−0.267161	+	0.00730102i
$43$			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	0.0734207	−	0.997301i	$-0.476608\pi$
$47$	−3.10821	−	1.00992i	−0.453380	−	0.147312i	−0.526800	+	0.849989i	$0.676608\pi$
$48$	−0.979414	+	1.42855i	−0.141366	+	0.206193i
$49$	0.809017	−	0.587785i	0.115574	−	0.0839693i
$50$	−3.27993	+	2.38301i	−0.463852	+	0.337008i
$51$	−1.84203	+	2.68673i	−0.257935	+	0.376218i
$52$	2.83231	+	0.920275i	0.392771	+	0.127619i
$53$	4.54972	−	6.26216i	0.624953	−	0.860174i	−0.372749	−	0.927932i	$-0.621585\pi$
$53$	4.54972	−	6.26216i	0.624953	−	0.860174i	0.997702	+	0.0677587i	$0.0215848\pi$
$54$	−4.79378	+	2.00491i	−0.652351	+	0.272833i
$55$	0.285087	+	3.21284i	0.0384411	+	0.433219i
$56$		−	1.00000i		−	0.133631i
$57$	8.32445	−	0.227492i	1.10260	−	0.0301320i
$58$	1.68464	−	5.18478i	0.221204	−	0.680795i
$59$	5.00962	−	1.62773i	0.652197	−	0.211912i	0.0358146	−	0.999358i	$-0.488597\pi$
$59$	5.00962	−	1.62773i	0.652197	−	0.211912i	0.616383	+	0.787447i	$0.288597\pi$
$60$	0.476564	−	1.61562i	0.0615242	−	0.208576i
$61$	−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
$63$	1.62817	−	2.51974i	0.205130	−	0.317457i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−2.89622			−0.359231
$66$	3.89103	+	4.22610i	0.478952	+	0.520197i
$67$	−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
$69$	−3.33173	−	9.37450i	−0.401093	−	1.12856i
$70$	0.300523	+	0.924916i	0.0359194	+	0.110549i
$71$	8.37489	+	11.5270i	0.993916	+	1.36801i	0.928984	+	0.370119i	$0.120683\pi$
$71$	8.37489	+	11.5270i	0.993916	+	1.36801i	0.0649319	+	0.997890i	$0.479317\pi$
$72$	−1.08149	−	2.79828i	−0.127455	−	0.329780i
$73$	−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
$75$	−0.191829	−	7.01949i	−0.0221506	−	0.810541i
$76$			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
$81$	1.83099	−	8.81178i	0.203444	−	0.979087i
$82$	2.27144	−	1.65030i	0.250839	−	0.182245i
$83$	0.173794	−	0.126269i	0.0190764	−	0.0138598i	−0.578206	−	0.815891i	$-0.696247\pi$
$83$	0.173794	−	0.126269i	0.0190764	−	0.0138598i	0.597283	+	0.802031i	$0.296247\pi$
$84$	1.42855	+	0.979414i	0.155867	+	0.106863i
$85$	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	$0.235675\pi$
$89$			12.7280i			1.34916i	−0.738201	+	0.674580i	$0.764325\pi$
$90$	1.84124	+	2.26316i	0.194084	+	0.238558i
$91$	0.920275	−	2.83231i	0.0964710	−	0.296907i
$92$	5.46290	−	1.77500i	0.569547	−	0.185057i
$93$	−3.91878	−	1.15593i	−0.406358	−	0.119864i
$94$	1.92098	+	2.64400i	0.198134	+	0.272708i
$95$	−1.44489	−	4.44692i	−0.148243	−	0.456244i
$96$	1.63204	−	0.580034i	0.166570	−	0.0591994i
$97$	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
$99$	−9.84811	+	1.41941i	−0.989772	+	0.142656i
$100$	4.05422			0.405422
$101$	12.7945	+	9.29577i	1.27310	+	0.924963i	0.999322	−	0.0368286i	$-0.0117255\pi$
$101$	12.7945	+	9.29577i	1.27310	+	0.924963i	0.273781	+	0.961792i	$0.411726\pi$
$102$	3.06945	−	1.09089i	0.303921	−	0.108015i
$103$	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
$105$	−1.61562	−	0.476564i	−0.157669	−	0.0465079i
$106$	−7.36161	+	2.39193i	−0.715023	+	0.232325i
$107$	−2.48959	+	7.66218i	−0.240678	+	0.740730i	0.755639	+	0.654988i	$0.227326\pi$
$107$	−2.48959	+	7.66218i	−0.240678	+	0.740730i	−0.996317	+	0.0857426i	$0.972674\pi$
$108$	5.05671	+	1.19571i	0.486582	+	0.115057i
$109$			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	0.463959	−	0.885857i	$-0.346429\pi$
$113$	3.38693	+	1.10048i	0.318615	+	0.103524i	−0.145343	+	0.989381i	$0.546429\pi$
$114$	−6.86834	−	4.70894i	−0.643279	−	0.441033i
$115$	−4.51929	+	3.28346i	−0.421426	+	0.306184i
$116$	−4.41044	+	3.20437i	−0.409499	+	0.297518i
$117$	−0.487946	−	8.92088i	−0.0451107	−	0.824736i
$118$	−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
$123$	0.132847	+	4.86119i	0.0119784	+	0.438319i
$124$	0.728935	−	2.24343i	0.0654603	−	0.201466i
$125$	−8.37439	+	2.72100i	−0.749028	+	0.243374i
$126$	−2.79828	+	1.08149i	−0.249291	+	0.0963472i
$127$	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
$129$	5.70304	+	16.0467i	0.502125	+	1.41283i
$130$	2.34309	+	1.70235i	0.205502	+	0.149306i
$131$	1.56612			0.136832			0.0684162	−	0.997657i	$-0.478205\pi$
$131$	1.56612			0.136832			0.0684162	+	0.997657i	$0.478205\pi$
$132$	−0.663866	−	5.70607i	−0.0577821	−	0.496650i
$133$	4.80792			0.416899
$134$	8.22290	+	5.97428i	0.710350	+	0.516099i
$135$	−5.03637	+	0.413728i	−0.433461	+	0.0356080i
$136$	0.581182	+	1.78869i	0.0498359	+	0.153379i
$137$	10.2108	+	14.0539i	0.872364	+	1.20071i	0.978478	+	0.206353i	$0.0661594\pi$
$137$	10.2108	+	14.0539i	0.872364	+	1.20071i	−0.106113	+	0.994354i	$0.533841\pi$
$138$	−2.81477	+	9.54247i	−0.239609	+	0.812309i
$139$	−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
$141$	−5.65852	+	0.154637i	−0.476534	+	0.0130228i
$142$		−	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
$147$	0.979414	−	1.42855i	0.0807807	−	0.117825i
$148$	−1.17704	+	0.855167i	−0.0967518	+	0.0702943i
$149$	−5.20514	+	3.78175i	−0.426421	+	0.309813i	−0.780216	−	0.625510i	$-0.784891\pi$
$149$	−5.20514	+	3.78175i	−0.426421	+	0.309813i	0.353795	+	0.935323i	$0.384891\pi$
$150$	−3.97076	+	5.79164i	−0.324211	+	0.472885i
$151$	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
$156$	5.15625	−	0.140911i	0.412830	−	0.0112819i
$157$	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
$159$	3.79308	−	12.8591i	0.300811	−	1.01979i
$160$	−0.571630	−	0.786781i	−0.0451913	−	0.0622005i
$161$	−1.77500	−	5.46290i	−0.139890	−	0.430537i
$162$	−6.66074	+	6.05265i	−0.523317	+	0.475541i
$163$	−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
$165$	2.32883	+	5.07813i	0.181299	+	0.395332i
$166$	−0.214822			−0.0166734
$167$	−8.53080	−	6.19799i	−0.660133	−	0.479615i	0.206575	−	0.978431i	$-0.433768\pi$
$167$	−8.53080	−	6.19799i	−0.660133	−	0.479615i	−0.866708	+	0.498816i	$0.833768\pi$
$168$	−0.580034	−	1.63204i	−0.0447506	−	0.125915i
$169$	1.27658	+	3.92890i	0.0981983	+	0.302223i
$170$	−1.07509	−	1.47973i	−0.0824555	−	0.113490i
$171$	13.4539	−	5.19974i	1.02885	−	0.397634i
$172$	−9.35104	+	3.03834i	−0.713010	+	0.231671i
$173$	3.63893	−	11.1995i	0.276663	−	0.851481i	−0.712112	−	0.702066i	$-0.752261\pi$
$173$	3.63893	−	11.1995i	0.276663	−	0.851481i	0.988775	−	0.149415i	$-0.0477390\pi$
$174$	−0.257948	−	9.43893i	−0.0195550	−	0.715563i
$175$		−	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	−0.445708	−	0.895178i	$-0.647048\pi$
$179$	−17.8272	−	5.79240i	−1.33247	−	0.432944i	−0.886758	+	0.462234i	$0.847048\pi$
$180$	−0.159343	−	2.91319i	−0.0118767	−	0.217136i
$181$	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
$183$	−11.5665	−	7.93003i	−0.855023	−	0.586205i
$184$	−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
$189$	1.19571	−	5.05671i	0.0869751	−	0.367821i
$190$	−1.44489	+	4.44692i	−0.104823	+	0.322613i
$191$	−21.9501	+	7.13201i	−1.58825	+	0.516054i	−0.964166	−	0.265301i	$-0.914529\pi$
$191$	−21.9501	+	7.13201i	−1.58825	+	0.516054i	−0.624086	+	0.781355i	$0.714529\pi$
$192$	−1.66128	−	0.490033i	−0.119893	−	0.0353651i
$193$	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
$195$	−4.72675	+	1.67990i	−0.338489	+	0.120300i
$196$	0.809017	+	0.587785i	0.0577869	+	0.0419847i
$197$	23.4139			1.66817			0.834084	−	0.551637i	$-0.185997\pi$
$197$	23.4139			1.66817			0.834084	+	0.551637i	$0.185997\pi$
$198$	8.80160	+	4.64025i	0.625502	+	0.329768i
$199$	−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
$201$	−16.5882	+	5.89550i	−1.17004	+	0.415836i
$202$	−4.88707	−	15.0409i	−0.343853	−	1.05827i
$203$	3.20437	+	4.41044i	0.224903	+	0.309552i
$204$	−3.12445	−	0.921627i	−0.218755	−	0.0645268i
$205$	2.59685	−	0.843768i	0.181372	−	0.0589313i
$206$	0.666231	−	2.05045i	0.0464185	−	0.142862i
$207$	−10.8751	−	13.3671i	−0.755868	−	0.929075i
$208$			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
$213$	20.3542	+	13.9549i	1.39465	+	0.956174i
$214$	6.51784	−	4.73548i	0.445550	−	0.323711i
$215$	7.73583	−	5.62041i	0.527579	−	0.383309i
$216$	−3.38814	−	3.93961i	−0.230534	−	0.268056i
$217$	−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
$222$	−0.0688400	−	2.51902i	−0.00462024	−	0.169065i
$223$	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
$225$	−4.38461	−	11.3448i	−0.292308	−	0.756322i
$226$	−2.09324	−	2.88109i	−0.139240	−	0.191648i
$227$	−3.49450	−	10.7550i	−0.231938	−	0.713832i	−0.997513	−	0.0704850i	$-0.977545\pi$
$227$	−3.49450	−	10.7550i	−0.231938	−	0.713832i	0.765575	−	0.643347i	$-0.222455\pi$
$228$	2.78875	+	7.84672i	0.184690	+	0.519662i
$229$	−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
$231$	−5.70607	+	0.663866i	−0.375432	+	0.0436792i
$232$	5.45160			0.357915
$233$	1.58866	+	1.15423i	0.104077	+	0.0756161i	0.638606	−	0.769534i	$-0.279511\pi$
$233$	1.58866	+	1.15423i	0.104077	+	0.0756161i	−0.534530	+	0.845150i	$0.679511\pi$
$234$	−4.84880	+	7.50395i	−0.316976	+	0.490549i
$235$	0.982162	+	3.02278i	0.0640692	+	0.197185i
$236$	3.09612	+	4.26144i	0.201540	+	0.277396i
$237$	−0.129171	+	0.437907i	−0.00839053	+	0.0284451i
$238$	1.78869	−	0.581182i	0.115944	−	0.0376724i
$239$	2.49653	−	7.68353i	0.161487	−	0.497007i	−0.837273	−	0.546785i	$-0.815852\pi$
$239$	2.49653	−	7.68353i	0.161487	−	0.497007i	0.998760	+	0.0497784i	$0.0158515\pi$
$240$	1.68382	−	0.0460155i	0.108690	−	0.00297029i
$241$		−	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
$246$	2.74986	−	4.01087i	0.175325	−	0.255724i
$247$	11.5838	−	8.41610i	0.737057	−	0.535503i
$248$	−1.90838	+	1.38652i	−0.121182	+	0.0880439i
$249$	0.210399	−	0.306883i	0.0133335	−	0.0194479i
$250$	8.37439	+	2.72100i	0.529643	+	0.172091i
$251$	6.41246	−	8.82599i	0.404751	−	0.557091i	−0.557178	−	0.830393i	$-0.688116\pi$
$251$	6.41246	−	8.82599i	0.404751	−	0.557091i	0.961928	+	0.273302i	$0.0881158\pi$
$252$	2.89954	+	0.769840i	0.182654	+	0.0484954i
$253$	−9.79171	+	16.3418i	−0.615599	+	1.02740i
$254$		−	8.79028i		−	0.551551i
$255$	3.16683	−	0.0865434i	0.198314	−	0.00541956i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	19.2897	−	6.26761i	1.20326	−	0.390963i	0.362301	−	0.932061i	$-0.381991\pi$
$257$	19.2897	−	6.26761i	1.20326	−	0.390963i	0.840959	+	0.541098i	$0.181991\pi$
$258$	4.81813	−	16.3342i	0.299964	−	1.01692i
$259$	0.855167	+	1.17704i	0.0531375	+	0.0731375i
$260$	−0.894980	−	2.75447i	−0.0555043	−	0.170825i
$261$	13.7366	+	8.87613i	0.850274	+	0.549419i
$262$	−1.26702	−	0.920542i	−0.0782766	−	0.0568713i
$263$	0.950621			0.0586178			0.0293089	−	0.999570i	$-0.490669\pi$
$263$	0.950621			0.0586178			0.0293089	+	0.999570i	$0.490669\pi$
$264$	−2.81687	+	5.00652i	−0.173366	+	0.308130i
$265$	−7.52770			−0.462423
$266$	−3.88969	−	2.82602i	−0.238492	−	0.173275i
$267$	7.38264	+	20.7726i	0.451810	+	1.27126i
$268$	−3.14087	−	9.66659i	−0.191859	−	0.590481i
$269$	3.32467	+	4.57602i	0.202709	+	0.279005i	0.898253	−	0.439478i	$-0.144837\pi$
$269$	3.32467	+	4.57602i	0.202709	+	0.279005i	−0.695544	+	0.718483i	$0.744837\pi$
$270$	4.31769	+	2.62559i	0.262766	+	0.159788i
$271$	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
$273$	−0.140911	−	5.15625i	−0.00852830	−	0.312070i
$274$		−	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
$279$	−7.06609	+	0.386494i	−0.423035	+	0.0231388i
$280$	−0.786781	+	0.571630i	−0.0470191	+	0.0341614i
$281$	−19.2505	+	13.9863i	−1.14839	+	0.834355i	−0.988266	−	0.152742i	$-0.951190\pi$
$281$	−19.2505	+	13.9863i	−1.14839	+	0.834355i	−0.160125	+	0.987097i	$0.551190\pi$
$282$	4.66873	+	3.20089i	0.278019	+	0.190610i
$283$	−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
$288$	2.32712	−	1.89328i	0.137127	−	0.111563i
$289$	−4.16023	+	12.8039i	−0.244720	+	0.753170i
$290$	−5.04228	+	1.63833i	−0.296093	+	0.0962063i
$291$	23.7996	+	7.02022i	1.39516	+	0.411533i
$292$	−6.12101	−	8.42485i	−0.358205	−	0.493027i
$293$	−6.45315	−	19.8607i	−0.376997	−	1.16028i	−0.942121	−	0.335272i	$-0.891172\pi$
$293$	−6.45315	−	19.8607i	−0.376997	−	1.16028i	0.565125	−	0.825006i	$-0.308828\pi$
$294$	−1.63204	+	0.580034i	−0.0951826	+	0.0338282i
$295$	−4.14431	−	3.01102i	−0.241291	−	0.175308i
$296$	1.45490			0.0845642
$297$	−15.2492	+	8.02877i	−0.884850	+	0.465877i
$298$	6.43390			0.372706
$299$	−13.8392	−	10.0547i	−0.800339	−	0.581480i
$300$	6.61665	−	2.35158i	0.382013	−	0.135769i
$301$	3.03834	+	9.35104i	0.175127	+	0.538985i
$302$	−0.409443	−	0.563550i	−0.0235608	−	0.0324286i
$303$	26.2731	+	7.74983i	1.50935	+	0.445216i
$304$	−4.57260	+	1.48573i	−0.262257	+	0.0852124i
$305$	−2.43325	+	7.48878i	−0.139328	+	0.428806i
$306$	4.37672	−	3.56077i	0.250200	−	0.203556i
$307$			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	0.250164	−	0.968203i	$-0.419515\pi$
$311$	−2.05528	−	0.667801i	−0.116544	−	0.0378675i	−0.366709	+	0.930336i	$0.619515\pi$
$312$	−4.25432	−	2.91677i	−0.240853	−	0.165129i
$313$	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
$315$	−2.91319	+	0.159343i	−0.164140	+	0.00897796i
$316$	−0.250694	−	0.0814555i	−0.0141027	−	0.00458223i
$317$	−7.02129	+	9.66398i	−0.394355	+	0.542783i	−0.959316	−	0.282335i	$-0.908891\pi$
$317$	−7.02129	+	9.66398i	−0.394355	+	0.542783i	0.564961	+	0.825118i	$0.308891\pi$
$318$	−10.6271	+	8.17371i	−0.595936	+	0.458359i
$319$	4.04556	−	17.6225i	0.226508	−	0.986672i
$320$			0.972514i			0.0543652i
$321$	0.381201	+	13.9490i	0.0212766	+	0.778559i
$322$	−1.77500	+	5.46290i	−0.0989171	+	0.304435i
$323$	−8.59989	+	2.79427i	−0.478511	+	0.155478i
$324$	8.94631	−	0.981611i	0.497017	−	0.0545340i
$325$	−7.09677	−	9.76786i	−0.393658	−	0.541824i
$326$	4.90205	+	15.0870i	0.271500	+	0.835590i
$327$	6.12305	+	17.2284i	0.338605	+	0.952735i
$328$	2.27144	+	1.65030i	0.125420	+	0.0911226i
$329$	−3.26817			−0.180180
$330$	1.10079	−	5.47715i	0.0605964	−	0.301507i
$331$	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
$333$	3.66596	+	2.36882i	0.200893	+	0.129810i
$334$	3.25847	+	10.0286i	0.178296	+	0.548738i
$335$	5.81008	+	7.99688i	0.317438	+	0.436916i
$336$	−0.490033	+	1.66128i	−0.0267335	+	0.0906305i
$337$	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
$339$	6.16593	−	0.168503i	0.334887	−	0.00915184i
$340$			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
$345$	−5.47116	+	7.98008i	−0.294557	+	0.429633i
$346$	−9.52685	+	6.92166i	−0.512167	+	0.372111i
$347$	−4.45340	+	3.23559i	−0.239071	+	0.173695i	−0.700869	−	0.713290i	$-0.747204\pi$
$347$	−4.45340	+	3.23559i	−0.239071	+	0.173695i	0.461798	+	0.886985i	$0.347204\pi$
$348$	−5.33938	+	7.78787i	−0.286221	+	0.417474i
$349$	−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	$0.00478141\pi$
$353$			0.564426i			0.0300414i	−0.999887	+	0.0150207i	$0.995219\pi$
$354$	−9.12005	+	0.249234i	−0.484725	+	0.0132466i
$355$	4.28192	−	13.1784i	0.227261	−	0.699437i
$356$	−12.1050	+	3.93316i	−0.641564	+	0.208457i
$357$	−0.921627	+	3.12445i	−0.0487777	+	0.165363i
$358$	11.0178	+	15.1647i	0.582309	+	0.801479i
$359$	−6.52838	−	20.0923i	−0.344555	−	1.06043i	−0.961822	−	0.273677i	$-0.911760\pi$
$359$	−6.52838	−	20.0923i	−0.344555	−	1.06043i	0.617267	−	0.786754i	$-0.288240\pi$
$360$	−1.58342	+	2.45048i	−0.0834534	+	0.129152i
$361$	3.32997	+	2.41937i	0.175262	+	0.127335i
$362$	−12.1580			−0.639011
$363$	14.0934	+	12.8209i	0.739713	+	0.672923i
$364$	2.97807			0.156093
$365$	8.19329	+	5.95277i	0.428856	+	0.311582i
$366$	4.69636	+	13.2142i	0.245483	+	0.690716i
$367$	−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
$369$	3.03647	+	7.85662i	0.158072	+	0.408999i
$370$	−1.34566	+	0.437231i	−0.0699574	+	0.0227305i
$371$	2.39193	−	7.36161i	0.124183	−	0.382196i
$372$	−0.111613	−	4.08418i	−0.00578686	−	0.211755i
$373$		−	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
$378$	−3.93961	+	3.38814i	−0.202632	+	0.174267i
$379$	−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
$381$	12.5573	+	8.60933i	0.643332	+	0.441069i
$382$	21.9501	+	7.13201i	1.12306	+	0.364906i
$383$	−1.64084	+	2.25843i	−0.0838433	+	0.115400i	−0.848878	−	0.528588i	$-0.822722\pi$
$383$	−1.64084	+	2.25843i	−0.0838433	+	0.115400i	0.765035	+	0.643989i	$0.222722\pi$
$384$	1.05597	+	1.37292i	0.0538874	+	0.0700617i
$385$	1.26396	+	2.96750i	0.0644172	+	0.151238i
$386$		−	25.4631i		−	1.29604i
$387$	18.6152	+	22.8809i	0.946264	+	1.16310i
$388$	−4.42698	+	13.6248i	−0.224746	+	0.691697i
$389$	7.82929	−	2.54389i	0.396961	−	0.128980i	−0.103732	−	0.994605i	$-0.533079\pi$
$389$	7.82929	−	2.54389i	0.396961	−	0.128980i	0.500693	+	0.865625i	$0.333079\pi$
$390$	4.81144	+	1.41924i	0.243637	+	0.0718661i
$391$	6.34988	+	8.73985i	0.321127	+	0.441993i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	2.55597	−	0.908402i	0.128932	−	0.0458228i
$394$	−18.9422	−	13.7623i	−0.954295	−	0.693336i
$395$	0.256350			0.0128984
$396$	−4.39317	−	8.92749i	−0.220765	−	0.448623i
$397$	−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
$399$	7.84672	−	2.78875i	0.392828	−	0.139612i
$400$	1.25282	+	3.85579i	0.0626411	+	0.192789i
$401$	−2.44020	−	3.35865i	−0.121858	−	0.167723i	0.743730	−	0.668480i	$-0.233055\pi$
$401$	−2.44020	−	3.35865i	−0.121858	−	0.167723i	−0.865588	+	0.500757i	$0.833055\pi$
$402$	16.8854	+	4.98073i	0.842167	+	0.248416i
$403$	−6.68110	+	2.17082i	−0.332809	+	0.108136i
$404$	−4.88707	+	15.0409i	−0.243141	+	0.748311i
$405$	−7.97959	+	3.59648i	−0.396509	+	0.178711i
$406$		−	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
$411$	24.8161	+	17.0140i	1.22409	+	0.839238i
$412$	−1.74422	+	1.26725i	−0.0859314	+	0.0624328i
$413$	4.26144	−	3.09612i	0.209692	−	0.152350i
$414$	0.941139	+	17.2064i	0.0462545	+	0.845647i
$415$	−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	$-0.995343\pi$
$419$		−	0.598936i		−	0.0292600i	0.999893	−	0.0146300i	$-0.00465703\pi$
$420$	−0.0460155	−	1.68382i	−0.00224533	−	0.0821618i
$421$	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
$423$	−9.14525	+	3.53451i	−0.444657	+	0.171854i
$424$	−4.54972	−	6.26216i	−0.220954	−	0.304117i
$425$	2.35624	+	7.25175i	0.114294	+	0.351762i
$426$	−8.26444	−	23.2537i	−0.400413	−	1.12664i
$427$	−6.55038	−	4.75913i	−0.316995	−	0.230310i
$428$	−8.05649			−0.389425
$429$	−12.5856	+	11.5878i	−0.607640	+	0.559462i
$430$	−9.56201			−0.461121
$431$	5.78469	+	4.20282i	0.278639	+	0.202443i	0.718323	−	0.695709i	$-0.244910\pi$
$431$	5.78469	+	4.20282i	0.278639	+	0.202443i	−0.439685	+	0.898152i	$0.644910\pi$
$432$	0.425421	+	5.17871i	0.0204681	+	0.249161i
$433$	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
$435$	2.59804	−	8.80774i	0.124566	−	0.422299i
$436$	−10.0397	+	3.26210i	−0.480815	+	0.156226i
$437$	8.53407	−	26.2652i	0.408240	−	1.25643i
$438$	18.0303	−	0.492735i	0.861521	−	0.0235438i
$439$		−	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	0.607170	−	0.794572i	$-0.292305\pi$
$443$	13.2882	+	4.31760i	0.631342	+	0.205136i	0.0241727	+	0.999708i	$0.492305\pi$
$444$	−1.42495	+	2.07839i	−0.0676250	+	0.0986360i
$445$	10.0141	−	7.27568i	0.474714	−	0.344900i
$446$	−15.4953	+	11.2580i	−0.733726	+	0.533083i
$447$	−6.30146	+	9.19113i	−0.298049	+	0.434726i
$448$	−0.951057	−	0.309017i	−0.0449332	−	0.0145997i
$449$	−14.8971	+	20.5042i	−0.703040	+	0.967651i	0.296879	+	0.954915i	$0.404054\pi$
$449$	−14.8971	+	20.5042i	−0.703040	+	0.967651i	−0.999919	+	0.0127361i	$0.995946\pi$
$450$	−3.12110	+	11.7554i	−0.147130	+	0.554154i
$451$	7.02027	−	6.11787i	0.330572	−	0.288079i
$452$			3.56123i			0.167506i
$453$	1.20607	−	0.0329597i	0.0566662	−	0.00154858i
$454$	−3.49450	+	10.7550i	−0.164005	+	0.504755i
$455$	−2.75447	+	0.894980i	−0.129131	+	0.0419573i
$456$	2.35604	−	7.98732i	0.110332	−	0.374041i
$457$	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
$459$	0.800107	+	9.73982i	0.0373458	+	0.454616i
$460$	−4.51929	−	3.28346i	−0.210713	−	0.153092i
$461$	22.0432			1.02665			0.513327	−	0.858193i	$-0.328413\pi$
$461$	22.0432			1.02665			0.513327	+	0.858193i	$0.328413\pi$
$462$	5.00652	+	2.81687i	0.232924	+	0.131053i
$463$	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
$465$	1.33062	+	3.74398i	0.0617062	+	0.173623i
$466$	−0.606815	−	1.86758i	−0.0281101	−	0.0865141i
$467$	20.3914	+	28.0664i	0.943603	+	1.29876i	0.954311	+	0.298815i	$0.0965915\pi$
$467$	20.3914	+	28.0664i	0.943603	+	1.29876i	−0.0107079	+	0.999943i	$0.503409\pi$
$468$	8.33348	−	3.22077i	0.385215	−	0.148880i
$469$	−9.66659	+	3.14087i	−0.446362	+	0.145032i
$470$	0.982162	−	3.02278i	0.0453037	−	0.139431i
$471$	−0.966993	−	35.3845i	−0.0445567	−	1.63043i
$472$		−	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
$477$	−1.26825	−	23.1867i	−0.0580690	−	1.06165i
$478$	−6.53600	+	4.74869i	−0.298950	+	0.217200i
$479$	−7.83621	+	5.69334i	−0.358046	+	0.260135i	−0.752237	−	0.658893i	$-0.771025\pi$
$479$	−7.83621	+	5.69334i	−0.358046	+	0.260135i	0.394191	+	0.919029i	$0.371025\pi$
$480$	−1.38928	−	0.952494i	−0.0634118	−	0.0434752i
$481$	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
$486$	−7.35987	+	13.7416i	−0.333850	+	0.623333i
$487$	−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
$489$	−26.3536	−	7.77358i	−1.19175	−	0.351534i
$490$	0.571630	+	0.786781i	0.0258236	+	0.0355431i
$491$	−10.4244	−	32.0829i	−0.470445	−	1.44788i	−0.852003	−	0.523536i	$-0.824612\pi$
$491$	−10.4244	−	32.0829i	−0.470445	−	1.44788i	0.381558	−	0.924345i	$-0.375388\pi$
$492$	−4.58222	+	1.62854i	−0.206582	+	0.0734201i
$493$	−8.29491	−	6.02660i	−0.373584	−	0.271425i
$494$	−14.3183			−0.644212
$495$	6.74623	+	6.93692i	0.303221	+	0.311792i
$496$	2.35888			0.105917
$497$	11.5270	+	8.37489i	0.517059	+	0.375665i
$498$	−0.350598	+	0.124604i	−0.0157107	+	0.00558363i
$499$	−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
$501$	−17.5177	−	5.16722i	−0.782631	−	0.230855i
$502$	−10.3756	+	3.37123i	−0.463084	+	0.150465i
$503$	4.58119	−	14.0994i	0.204265	−	0.628663i	−0.795478	−	0.605983i	$-0.792780\pi$
$503$	4.58119	−	14.0994i	0.204265	−	0.628663i	0.999743	−	0.0226804i	$-0.00722002\pi$
$504$	−1.89328	−	2.32712i	−0.0843333	−	0.103658i
$505$		−	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	0.671016	−	0.741443i	$-0.265858\pi$
$509$	17.5540	+	5.70365i	0.778069	+	0.252810i	0.107054	+	0.994253i	$0.465858\pi$
$510$	−2.61288	−	1.79140i	−0.115700	−	0.0793244i
$511$	−8.42485	+	6.12101i	−0.372693	+	0.270778i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	18.9413	−	16.2899i	0.836279	−	0.719217i
$514$	−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
$519$	−0.557186	−	20.3887i	−0.0244577	−	0.894966i
$520$	−0.894980	+	2.75447i	−0.0392475	+	0.120791i
$521$	25.9604	−	8.43505i	1.13735	−	0.369546i	0.320983	−	0.947085i	$-0.395987\pi$
$521$	25.9604	−	8.43505i	1.13735	−	0.369546i	0.816363	+	0.577539i	$0.195987\pi$
$522$	−5.89588	−	15.2551i	−0.258056	−	0.667698i
$523$	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
$525$	−2.35158	−	6.61665i	−0.102631	−	0.288774i
$526$	−0.769069	−	0.558761i	−0.0335330	−	0.0243631i
$527$	4.43645			0.193255
$528$	5.22165	−	2.39465i	0.227243	−	0.104214i
$529$	−9.99391			−0.434518
$530$	6.09004	+	4.42467i	0.264534	+	0.192195i
$531$	8.57627	−	13.2725i	0.372178	−	0.575979i
$532$	1.48573	+	4.57260i	0.0644145	+	0.198247i
$533$	4.91471	+	6.76452i	0.212880	+	0.293004i
$534$	6.23712	−	21.1448i	0.269907	−	0.915024i
$535$	7.45157	−	2.42116i	0.322160	−	0.104676i
$536$	−3.14087	+	9.66659i	−0.135665	+	0.417533i
$537$	−32.4545	+	0.886921i	−1.40051	+	0.0382734i
$538$		−	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
$543$	11.9077	−	17.3683i	0.511009	−	0.745344i
$544$	−1.52155	+	1.10547i	−0.0652361	+	0.0473968i
$545$	8.30555	−	6.03433i	0.355771	−	0.258482i
$546$	−2.91677	+	4.25432i	−0.124826	+	0.182068i
$547$	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
$552$	−9.94524	+	0.271785i	−0.423298	+	0.0115679i
$553$	−0.0814555	+	0.250694i	−0.00346384	+	0.0106606i
$554$	−22.2621	+	7.23339i	−0.945826	+	0.307317i
$555$	0.693352	−	2.35057i	0.0294311	−	0.0997760i
$556$	−5.28847	−	7.27895i	−0.224281	−	0.308696i
$557$	−7.52865	−	23.1708i	−0.318999	−	0.981779i	−0.974077	−	0.226217i	$-0.927364\pi$
$557$	−7.52865	−	23.1708i	−0.318999	−	0.981779i	0.655078	−	0.755561i	$-0.272636\pi$
$558$	5.94376	+	3.84066i	0.251619	+	0.162588i
$559$	23.6890	+	17.2110i	1.00194	+	0.727950i
$560$	0.972514			0.0410962
$561$	9.82059	−	4.50372i	0.414626	−	0.190147i
$562$	23.7950			1.00373
$563$	−21.6404	−	15.7227i	−0.912033	−	0.662631i	0.0294953	−	0.999565i	$-0.490610\pi$
$563$	−21.6404	−	15.7227i	−0.912033	−	0.662631i	−0.941528	+	0.336934i	$0.890610\pi$
$564$	−1.89565	−	5.33379i	−0.0798212	−	0.224593i
$565$	−1.07023	−	3.29384i	−0.0450250	−	0.138573i
$566$	17.9919	+	24.7638i	0.756258	+	1.04090i
$567$	−0.981611	−	8.94631i	−0.0412238	−	0.375710i
$568$	13.5509	−	4.40294i	0.568581	−	0.184743i
$569$	−9.23245	+	28.4146i	−0.387045	+	1.19120i	0.547942	+	0.836517i	$0.315412\pi$
$569$	−9.23245	+	28.4146i	−0.387045	+	1.19120i	−0.934986	+	0.354684i	$0.884588\pi$
$570$	0.221239	+	8.09565i	0.00926668	+	0.339089i
$571$			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
$576$	−2.99552	+	0.163846i	−0.124813	+	0.00682693i
$577$	−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
$579$	36.3753	+	24.9390i	1.51171	+	1.03643i
$580$	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
$585$	−6.73985	+	5.48334i	−0.278658	+	0.226708i
$586$	−6.45315	+	19.8607i	−0.266577	+	0.820440i
$587$	−14.2370	+	4.62589i	−0.587625	+	0.190931i	−0.587714	−	0.809069i	$-0.699972\pi$
$587$	−14.2370	+	4.62589i	−0.587625	+	0.190931i	8.86304e−5		1.00000i	$0.499972\pi$
$588$	1.66128	+	0.490033i	0.0685102	+	0.0202086i
$589$	−6.66626	−	9.17531i	−0.274678	−	0.378062i
$590$	1.58299	+	4.87193i	0.0651705	+	0.200574i
$591$	38.2124	−	13.5808i	1.57185	−	0.558640i
$592$	−1.17704	−	0.855167i	−0.0483759	−	0.0351472i
$593$	−4.30516			−0.176792			−0.0883958	−	0.996085i	$-0.528174\pi$
$593$	−4.30516			−0.176792			−0.0883958	+	0.996085i	$0.528174\pi$
$594$	17.0561	+	2.46786i	0.699819	+	0.101257i
$595$	1.82905			0.0749837
$596$	−5.20514	−	3.78175i	−0.213211	−	0.154907i
$597$	−20.8924	+	7.42524i	−0.855069	+	0.303895i
$598$	5.28609	+	16.2689i	0.216164	+	0.665285i
$599$	17.2040	+	23.6792i	0.702935	+	0.967507i	0.999920	+	0.0126246i	$0.00401864\pi$
$599$	17.2040	+	23.6792i	0.702935	+	0.967507i	−0.296986	+	0.954882i	$0.595981\pi$
$600$	−6.73521	−	1.98670i	−0.274964	−	0.0811067i
$601$	−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
$603$	−23.6530	+	19.2434i	−0.963225	+	0.783651i
$604$			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
$609$	7.78787	+	5.33938i	0.315581	+	0.216363i
$610$	6.37033	−	4.62832i	0.257927	−	0.187395i
$611$	−7.87403	+	5.72082i	−0.318549	+	0.231440i
$612$	−5.63381	+	0.308153i	−0.227733	+	0.0124564i
$613$	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	$0.0123576\pi$
$617$			1.92818i			0.0776258i	−0.999246	+	0.0388129i	$0.987642\pi$
$618$	−0.102012	−	3.73286i	−0.00410352	−	0.150157i
$619$	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
$621$	−25.5019	−	15.5077i	−1.02336	−	0.622303i
$622$	1.27023	+	1.74833i	0.0509317	+	0.0701015i
$623$	3.93316	+	12.1050i	0.157579	+	0.484977i
$624$	1.72738	+	4.86034i	0.0691506	+	0.194569i
$625$	−9.47177	−	6.88164i	−0.378871	−	0.275266i
$626$	−8.05831			−0.322075
$627$	−24.0709	−	13.5433i	−0.961301	−	0.540866i
$628$	20.4369			0.815521
$629$	−2.21370	−	1.60835i	−0.0882662	−	0.0641291i
$630$	2.45048	+	1.58342i	0.0976294	+	0.0630849i
$631$	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
$633$	−0.703187	+	2.38391i	−0.0279492	+	0.0947518i
$634$	11.3607	−	3.69131i	0.451190	−	0.146601i
$635$	2.64169	−	8.13027i	0.104832	−	0.322640i
$636$	13.4019	−	0.366248i	0.531418	−	0.0145227i
$637$		−	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	−0.460800	−	0.887504i	$-0.652438\pi$
$641$	−34.3124	−	11.1488i	−1.35526	−	0.440350i	−0.894457	+	0.447154i	$0.852438\pi$
$642$	7.89064	−	11.5091i	0.311419	−	0.454227i
$643$	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
$645$	9.36518	−	13.6598i	0.368753	−	0.537854i
$646$	8.59989	+	2.79427i	0.338358	+	0.109939i
$647$	−4.18832	+	5.76473i	−0.164660	+	0.226635i	−0.883372	−	0.468673i	$-0.844732\pi$
$647$	−4.18832	+	5.76473i	−0.164660	+	0.226635i	0.718712	+	0.695308i	$0.244732\pi$
$648$	−7.81469	−	4.46437i	−0.306990	−	0.175377i
$649$	−17.0272	−	3.90888i	−0.668375	−	0.153437i
$650$			12.0737i			0.473571i
$651$	−4.08418	+	0.111613i	−0.160072	+	0.00437446i
$652$	4.90205	−	15.0870i	0.191979	−	0.590851i
$653$	31.9028	−	10.3658i	1.24845	−	0.405647i	0.391086	−	0.920354i	$-0.372099\pi$
$653$	31.9028	−	10.3658i	1.24845	−	0.405647i	0.857366	+	0.514707i	$0.172099\pi$
$654$	5.17297	−	17.5371i	0.202279	−	0.685756i
$655$	−0.895240	−	1.23219i	−0.0349799	−	0.0481457i
$656$	−0.867615	−	2.67024i	−0.0338747	−	0.104255i
$657$	−16.9552	+	26.2397i	−0.661487	+	1.02371i
$658$	2.64400	+	1.92098i	0.103074	+	0.0748877i
$659$	−8.50928			−0.331474			−0.165737	−	0.986170i	$-0.553000\pi$
$659$	−8.50928			−0.331474			−0.165737	+	0.986170i	$0.553000\pi$
$660$	−4.10994	+	3.78408i	−0.159979	+	0.147295i
$661$	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
$663$	3.24876	+	9.14105i	0.126171	+	0.355009i
$664$	−0.0663835	−	0.204307i	−0.00257618	−	0.00792867i
$665$	−2.74835	−	3.78278i	−0.106576	−	0.146690i
$666$	−1.57346	−	4.07121i	−0.0609705	−	0.157756i
$667$	29.7816	−	9.67662i	1.15315	−	0.374680i
$668$	3.25847	−	10.0286i	0.126074	−	0.388016i
$669$	−0.906258	−	33.1621i	−0.0350380	−	1.28212i
$670$		−	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
$675$	−13.7363	−	15.9720i	−0.528709	−	0.614763i
$676$	−3.34212	+	2.42819i	−0.128543	+	0.0933921i
$677$	−8.59162	+	6.24218i	−0.330203	+	0.239906i	−0.740517	−	0.672038i	$-0.765419\pi$
$677$	−8.59162	+	6.24218i	−0.330203	+	0.239906i	0.410314	+	0.911944i	$0.365419\pi$
$678$	−5.08738	−	3.48792i	−0.195380	−	0.133953i
$679$	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	$-0.553260\pi$
$683$		−	51.5386i		−	1.97207i	0.166540	−	0.986035i	$-0.446740\pi$
$684$	9.10273	+	11.1886i	0.348051	+	0.427807i
$685$	5.22057	−	16.0673i	0.199468	−	0.613898i
$686$	−0.951057	+	0.309017i	−0.0363115	+	0.0117983i
$687$	−40.9327	−	12.0740i	−1.56168	−	0.460652i
$688$	−5.77926	−	7.95447i	−0.220332	−	0.303261i
$689$	−7.12334	−	21.9234i	−0.271378	−	0.835215i
$690$	9.11684	−	3.24016i	0.347072	−	0.123351i
$691$	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
$693$	−8.92749	+	4.39317i	−0.339127	+	0.166883i
$694$	5.50471			0.208956
$695$	7.07889	+	5.14311i	0.268517	+	0.195089i
$696$	8.89725	−	3.16211i	0.337249	−	0.119860i
$697$	−1.63176	−	5.02204i	−0.0618073	−	0.190223i
$698$	21.7056	+	29.8752i	0.821570	+	1.13079i
$699$	3.26225	+	0.962275i	0.123390	+	0.0363966i
$700$	3.85579	−	1.25282i	0.145735	−	0.0473522i
$701$	4.29174	−	13.2086i	0.162097	−	0.498882i	−0.836714	−	0.547640i	$-0.815526\pi$
$701$	4.29174	−	13.2086i	0.162097	−	0.498882i	0.998811	+	0.0487579i	$0.0155263\pi$
$702$	−3.56091	+	15.0592i	−0.134398	+	0.568374i
$703$			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
$708$	7.52477	+	5.15900i	0.282798	+	0.193887i
$709$	−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
$711$	0.0431892	+	0.789606i	0.00161972	+	0.0296125i
$712$	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
$717$	−0.382264	−	13.9879i	−0.0142759	−	0.522389i
$718$	−6.52838	+	20.0923i	−0.243637	+	0.749838i
$719$	−4.09681	+	1.33114i	−0.152785	+	0.0496430i	−0.384411	−	0.923162i	$-0.625596\pi$
$719$	−4.09681	+	1.33114i	−0.152785	+	0.0496430i	0.231626	+	0.972805i	$0.425596\pi$
$720$	2.72137	−	1.05177i	0.101419	−	0.0391971i
$721$	1.26725	+	1.74422i	0.0471948	+	0.0649580i
$722$	−1.27194	−	3.91462i	−0.0473366	−	0.145687i
$723$	−2.11182	−	5.94205i	−0.0785396	−	0.220987i
$724$	9.83603	+	7.14630i	0.365553	+	0.265590i
$725$	22.1020			0.820847
$726$	−3.86588	−	18.6562i	−0.143476	−	0.692398i
$727$	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
$729$	−12.4222	−	23.9727i	−0.460082	−	0.887877i
$730$	−3.12956	−	9.63179i	−0.115830	−	0.356488i
$731$	−10.8693	−	14.9603i	−0.402016	−	0.553327i
$732$	3.96766	−	13.4509i	0.146649	−	0.497161i
$733$	−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
$735$	−1.68382	+	0.0460155i	−0.0621085	+	0.00169731i
$736$		−	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
$741$	14.0236	−	20.4544i	0.515169	−	0.751411i
$742$	−6.26216	+	4.54972i	−0.229891	+	0.167026i
$743$	17.0272	−	12.3710i	0.624666	−	0.453847i	−0.229882	−	0.973218i	$-0.573834\pi$
$743$	17.0272	−	12.3710i	0.624666	−	0.453847i	0.854548	+	0.519372i	$0.173834\pi$
$744$	−2.31032	+	3.36978i	−0.0847006	+	0.123542i
$745$	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
$750$	15.2456	−	0.416635i	0.556692	−	0.0152133i
$751$	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
$753$	5.34603	−	18.1238i	0.194820	−	0.660469i
$754$	−9.54285	−	13.1346i	−0.347530	−	0.478334i
$755$	−0.209340	−	0.644283i	−0.00761867	−	0.0234479i
$756$	5.17871	−	0.425421i	0.188348	−	0.0154724i
$757$	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
$759$	−6.50167	+	32.3501i	−0.235996	+	1.17423i
$760$	−4.67577			−0.169608
$761$	−39.9070	−	28.9941i	−1.44663	−	1.05104i	−0.986605	−	0.163130i	$-0.947841\pi$
$761$	−39.9070	−	28.9941i	−1.44663	−	1.05104i	−0.460023	−	0.887907i	$-0.652159\pi$
$762$	−5.09866	−	14.3461i	−0.184705	−	0.519705i
$763$	3.26210	+	10.0397i	0.118096	+	0.363462i
$764$	−13.5659	−	18.6719i	−0.490797	−	0.675524i
$765$	5.11819	−	1.97811i	0.185049	−	0.0715186i
$766$	2.65494	−	0.862643i	0.0959270	−	0.0311686i
$767$	4.84748	−	14.9190i	0.175032	−	0.538694i
$768$	−0.0473160	−	1.73140i	−0.00170737	−	0.0624767i
$769$			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	0.823897	−	0.566739i	$-0.191795\pi$
$773$	32.1769	+	10.4549i	1.15732	+	0.376037i	0.333426	+	0.942776i	$0.391795\pi$
$774$	−1.61098	−	29.4528i	−0.0579055	−	1.05866i
$775$	−7.73697	+	5.62124i	−0.277920	+	0.201921i
$776$	11.5900	−	8.42062i	0.416056	−	0.302283i
$777$	2.07839	+	1.42495i	0.0745618	+	0.0511197i
$778$	−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
$783$	27.5672	+	6.51854i	0.985170	+	0.232953i
$784$	−0.309017	+	0.951057i	−0.0110363	+	0.0339663i
$785$	−18.9024	+	6.14177i	−0.674656	+	0.219209i
$786$	−2.60177	−	0.767450i	−0.0928021	−	0.0273740i
$787$	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
$789$	1.55145	−	0.551392i	0.0552332	−	0.0196301i
$790$	−0.207392	−	0.150679i	−0.00737867	−	0.00536092i
$791$	3.56123			0.126623
$792$	−1.69329	+	9.80473i	−0.0601686	+	0.348396i
$793$	−24.1126			−0.856263
$794$	15.2506	+	11.0802i	0.541223	+	0.393222i
$795$	−12.2855	+	4.36632i	−0.435723	+	0.154857i
$796$	−3.95585	−	12.1748i	−0.140211	−	0.431526i
$797$	−29.8451	−	41.0783i	−1.05717	−	1.45507i	−0.882424	−	0.470455i	$-0.844090\pi$
$797$	−29.8451	−	41.0783i	−1.05717	−	1.45507i	−0.174745	−	0.984614i	$-0.555910\pi$
$798$	−7.98732	−	2.35604i	−0.282748	−	0.0834029i
$799$	5.84575	−	1.89940i	0.206808	−	0.0671960i
$800$	1.25282	−	3.85579i	0.0442939	−	0.136323i
$801$	24.0976	+	29.6195i	0.851446	+	1.04655i
$802$			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
$807$	8.08026	+	5.53984i	0.284438	+	0.195011i
$808$	12.7945	−	9.29577i	0.450110	−	0.327024i
$809$	−19.1202	+	13.8916i	−0.672230	+	0.488404i	−0.870771	−	0.491689i	$-0.836380\pi$
$809$	−19.1202	+	13.8916i	−0.672230	+	0.488404i	0.198541	+	0.980093i	$0.436380\pi$
$810$	8.56958	+	1.78067i	0.301104	+	0.0625663i
$811$	−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
$816$	−0.0889894	−	3.25633i	−0.00311525	−	0.113994i
$817$	−14.6081	+	44.9590i	−0.511072	+	1.57292i
$818$	−32.6539	+	10.6099i	−1.14172	+	0.370967i
$819$	−3.22077	−	8.33348i	−0.112543	−	0.291195i
$820$	1.60494	+	2.20901i	0.0560470	+	0.0771421i
$821$	−14.9440	−	45.9927i	−0.521547	−	1.60516i	−0.771044	−	0.636782i	$-0.780265\pi$
$821$	−14.9440	−	45.9927i	−0.521547	−	1.60516i	0.249496	−	0.968376i	$-0.419735\pi$
$822$	−10.0761	−	28.3512i	−0.351445	−	0.988860i
$823$	−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
$825$	−11.4202	+	20.2975i	−0.397600	+	0.706669i
$826$	−5.26743			−0.183277
$827$	−30.9327	−	22.4740i	−1.07564	−	0.781496i	−0.0987201	−	0.995115i	$-0.531475\pi$
$827$	−30.9327	−	22.4740i	−1.07564	−	0.781496i	−0.976917	+	0.213619i	$0.931475\pi$
$828$	9.35226	−	14.4734i	0.325013	−	0.502987i
$829$	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
$831$	11.4706	−	38.8869i	0.397910	−	1.34897i
$832$	−2.83231	+	0.920275i	−0.0981928	+	0.0319048i
$833$	−0.581182	+	1.78869i	−0.0201368	+	0.0619746i
$834$	15.5779	−	0.425716i	0.539420	−	0.0147413i
$835$			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	−0.247043	−	0.969004i	$-0.579459\pi$
$839$	−29.4426	−	9.56648i	−1.01647	−	0.330272i	−0.769429	+	0.638733i	$0.779459\pi$
$840$	−0.952494	+	1.38928i	−0.0328642	+	0.0479348i
$841$	−0.582478	+	0.423195i	−0.0200855	+	0.0145929i
$842$	−3.28161	+	2.38423i	−0.113092	+	0.0821660i
$843$	−23.3051	+	33.9923i	−0.802672	+	1.17076i
$844$	−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
$849$	−52.9978	+	1.44833i	−1.81888	+	0.0497066i
$850$	2.35624	−	7.25175i	0.0808182	−	0.248733i
$851$	7.94796	−	2.58245i	0.272452	−	0.0885252i
$852$	−6.98210	+	23.6703i	−0.239203	+	0.810932i
$853$	−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
$855$	−11.7817	−	7.61294i	−0.402926	−	0.260357i
$856$	6.51784	+	4.73548i	0.222775	+	0.161856i
$857$	9.35552			0.319579			0.159789	−	0.987151i	$-0.448919\pi$
$857$	9.35552			0.319579			0.159789	+	0.987151i	$0.448919\pi$
$858$	16.9931	−	1.97704i	0.580135	−	0.0674951i
$859$	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
$861$	1.62854	+	4.58222i	0.0555004	+	0.156162i
$862$	−2.20955	−	6.80031i	−0.0752577	−	0.231619i
$863$	29.0337	+	39.9615i	0.988320	+	1.36031i	0.932224	+	0.361881i	$0.117865\pi$
$863$	29.0337	+	39.9615i	0.988320	+	1.36031i	0.0560960	+	0.998425i	$0.482135\pi$
$864$	2.69980	−	4.43972i	0.0918489	−	0.151042i
$865$	−10.8917	+	3.53891i	−0.370327	+	0.120327i
$866$	7.93482	−	24.4209i	0.269636	−	0.829855i
$867$	0.637007	+	23.3096i	0.0216339	+	0.791634i
$868$		−	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
$873$	42.9139	−	2.34727i	1.45241	−	0.0794429i
$874$	−22.3425	+	16.2328i	−0.755746	+	0.549082i
$875$	−7.12368	+	5.17566i	−0.240824	+	0.174969i
$876$	−14.8764	−	10.1993i	−0.502628	−	0.344603i
$877$	−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	$0.00751921\pi$
$881$			1.40217i			0.0472402i	−0.999721	+	0.0236201i	$0.992481\pi$
$882$	−2.32712	+	1.89328i	−0.0783583	+	0.0637500i
$883$	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
$885$	−8.51018	−	2.51027i	−0.286067	−	0.0843817i
$886$	−8.21257	−	11.3036i	−0.275907	−	0.379753i
$887$	9.12629	+	28.0878i	0.306431	+	0.943097i	0.979139	+	0.203190i	$0.0651308\pi$
$887$	9.12629	+	28.0878i	0.306431	+	0.943097i	−0.672709	+	0.739908i	$0.734869\pi$
$888$	2.37445	−	0.843889i	0.0796814	−	0.0283191i
$889$	7.11149	+	5.16680i	0.238512	+	0.173289i
$890$	−12.3781			−0.414916
$891$	−20.2304	+	21.9484i	−0.677744	+	0.735298i
$892$	19.1533			0.641300
$893$	−12.7122	−	9.23592i	−0.425396	−	0.309068i
$894$	10.5004	−	3.73188i	0.351186	−	0.124813i
$895$	5.63319	+	17.3372i	0.188297	+	0.579518i
$896$	0.587785	+	0.809017i	0.0196365	+	0.0270274i
$897$	−28.4182	−	8.38257i	−0.948855	−	0.279886i
$898$	24.1041	−	7.83189i	0.804364	−	0.261354i
$899$	3.97386	−	12.2303i	0.132536	−	0.407903i
$900$	9.43466	−	7.67576i	0.314489	−	0.255859i
$901$			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
$906$	−0.995105	−	0.682246i	−0.0330602	−	0.0226661i
$907$	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
$909$	47.3739	−	2.59122i	1.57129	−	0.0859452i
$910$	2.75447	+	0.894980i	0.0913096	+	0.0296683i
$911$	−17.1819	+	23.6489i	−0.569263	+	0.783523i	−0.992467	−	0.122511i	$-0.960905\pi$
$911$	−17.1819	+	23.6489i	−0.569263	+	0.783523i	0.423204	+	0.906034i	$0.360905\pi$
$912$	−6.60090	+	5.07703i	−0.218578	+	0.168117i
$913$	−0.709694	+	0.0629737i	−0.0234875	+	0.00208412i
$914$		−	14.9222i		−	0.493583i
$915$	0.372574	+	13.6334i	0.0123169	+	0.450705i
$916$	7.61392	−	23.4332i	0.251571	−	0.774256i
$917$	1.48947	−	0.483957i	0.0491866	−	0.0159817i
$918$	5.07762	−	8.34997i	0.167587	−	0.275590i
$919$	−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
$921$	19.3277	+	54.3823i	0.636868	+	1.79196i
$922$	−17.8333	−	12.9567i	−0.587309	−	0.426705i
$923$	42.4322			1.39667
$924$	−2.39465	−	5.22165i	−0.0787781	−	0.171780i
$925$	5.89847			0.193940
$926$	−4.63481	−	3.36739i	−0.152309	−	0.110659i
$927$	5.43247	+	3.51028i	0.178426	+	0.115293i
$928$	1.68464	+	5.18478i	0.0553010	+	0.170199i
$929$	−12.9942	−	17.8849i	−0.426325	−	0.586786i	0.540780	−	0.841164i	$-0.318129\pi$
$929$	−12.9942	−	17.8849i	−0.426325	−	0.586786i	−0.967105	+	0.254378i	$0.918129\pi$
$930$	1.12416	−	3.81107i	0.0368626	−	0.124970i
$931$	4.57260	−	1.48573i	0.149861	−	0.0486928i
$932$	−0.606815	+	1.86758i	−0.0198769	+	0.0611747i
$933$	−3.74165	+	0.102252i	−0.122496	+	0.00334759i
$934$		−	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
$939$	7.89243	−	11.5117i	0.257560	−	0.375670i
$940$	−2.57133	+	1.86818i	−0.0838676	+	0.0609334i
$941$	−45.5299	+	33.0794i	−1.48423	+	1.07836i	−0.508069	+	0.861317i	$0.669640\pi$
$941$	−45.5299	+	33.0794i	−1.48423	+	1.07836i	−0.976163	+	0.217041i	$0.930360\pi$
$942$	−20.0162	+	29.1951i	−0.652163	+	0.951227i
$943$	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	$0.0530670\pi$
$947$			10.2133i			0.331887i	−0.986135	+	0.165944i	$0.946933\pi$
$948$	−0.456390	+	0.0124723i	−0.0148229	+	0.000405081i
$949$	−9.58345	+	29.4948i	−0.311092	+	0.957443i
$950$	−18.5383	+	6.02346i	−0.601462	+	0.195427i
$951$	−5.85361	+	19.8446i	−0.189816	+	0.643505i
$952$	1.10547	+	1.52155i	0.0358286	+	0.0493138i
$953$	−0.593506	−	1.82662i	−0.0192255	−	0.0591701i	0.940983	−	0.338453i	$-0.109903\pi$
$953$	−0.593506	−	1.82662i	−0.0192255	−	0.0591701i	−0.960209	+	0.279282i	$0.909903\pi$
$954$	−12.6028	+	19.5039i	−0.408030	+	0.631462i
$955$	18.1586	+	13.1930i	0.587600	+	0.426916i
$956$	8.07895			0.261292
$957$	−3.61913	−	31.1073i	−0.116990	−	1.00555i
$958$	9.68609			0.312943
$959$	14.0539	+	10.2108i	0.453824	+	0.329723i
$960$	0.564091	+	1.58718i	0.0182060	+	0.0512261i
$961$	−7.86006	−	24.1908i	−0.253550	−	0.780347i
$962$	−2.54675	−	3.50530i	−0.0821105	−	0.113015i
$963$	8.71305	+	22.5443i	0.280774	+	0.726480i
$964$	3.46267	−	1.12509i	0.111525	−	0.0362367i
$965$	7.65227	−	23.5513i	0.246335	−	0.758142i
$966$	0.271785	+	9.94524i	0.00874454	+	0.319983i
$967$			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	−0.401434	−	0.915888i	$-0.631488\pi$
$971$	−39.4044	−	12.8033i	−1.26455	−	0.410876i	−0.863112	+	0.505012i	$0.831488\pi$
$972$	14.0314	−	6.79119i	0.450057	−	0.217828i
$973$	−7.27895	+	5.28847i	−0.233353	+	0.169541i
$974$	24.9487	−	18.1263i	0.799407	−	0.580803i
$975$	−17.2479	−	11.8252i	−0.552375	−	0.378710i
$976$	7.70043	+	2.50202i	0.246485	+	0.0800877i
$977$	−5.24241	+	7.21556i	−0.167720	+	0.230846i	−0.884601	−	0.466349i	$-0.845569\pi$
$977$	−5.24241	+	7.21556i	−0.167720	+	0.230846i	0.716881	+	0.697195i	$0.245569\pi$
$978$	16.7513	+	21.7792i	0.535648	+	0.696423i
$979$	21.6970	−	36.2112i	0.693440	−	1.15731i
$980$		−	0.972514i		−	0.0310658i
$981$	19.9862	+	24.5660i	0.638109	+	0.784331i
$982$	−10.4244	+	32.0829i	−0.332655	+	1.02381i
$983$	−48.1199	+	15.6351i	−1.53479	+	0.498683i	−0.949933	−	0.312455i	$-0.898849\pi$
$983$	−48.1199	+	15.6351i	−1.53479	+	0.498683i	−0.584855	+	0.811138i	$0.698849\pi$
$984$	4.66432	+	1.37585i	0.148693	+	0.0438604i
$985$	−13.3841	−	18.4216i	−0.426451	−	0.586960i
$986$	3.16837	+	9.75125i	0.100902	+	0.310543i
$987$	−5.33379	+	1.89565i	−0.169776	+	0.0603392i
$988$	11.5838	+	8.41610i	0.368529	+	0.267752i
$989$	56.4768			1.79586
$990$	−1.38040	−	9.57743i	−0.0438719	−	0.304391i
$991$	−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
$993$	14.0239	−	4.98413i	0.445034	−	0.158167i
$994$	−4.40294	−	13.5509i	−0.139653	−	0.429807i
$995$	7.31765	+	10.0719i	0.231985	+	0.319300i
$996$	0.356880	+	0.105270i	0.0113082	+	0.00333560i
$997$	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
$999$	7.35699	+	1.73963i	0.232765	+	0.0550396i

Twists

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

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

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)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(1.63204 - 0.580034i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.571630 - 0.786781i) q^{5} +(-1.66128 - 0.490033i) q^{6} +(0.951057 - 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.32712 - 1.89328i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(1.63204 - 0.580034i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.571630 - 0.786781i) q^{5} +(-1.66128 - 0.490033i) q^{6} +(0.951057 - 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.32712 - 1.89328i) 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} +(-1.38928 - 0.952494i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.52155 + 1.10547i) q^{17} +(-2.99552 + 0.163846i) 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} +(-0.0473160 - 1.73140i) q^{24} +(1.25282 - 3.85579i) q^{25} +(-2.83231 + 0.920275i) q^{26} +(2.69980 - 4.43972i) q^{27} +(0.587785 + 0.809017i) q^{28} +(1.68464 + 5.18478i) q^{29} +(0.564091 + 1.58718i) q^{30} +(-1.90838 - 1.38652i) q^{31} +1.00000 q^{32} +(-5.63194 - 1.13190i) q^{33} +1.88074 q^{34} +(-0.786781 - 0.571630i) q^{35} +(2.51974 + 1.62817i) q^{36} +(0.449588 + 1.38369i) q^{37} +(-2.82602 - 3.88969i) q^{38} +(1.45935 - 4.94742i) q^{39} +(-0.924916 + 0.300523i) q^{40} +(-0.867615 + 2.67024i) q^{41} +(-1.73140 + 0.0473160i) 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} +(-0.979414 + 1.42855i) q^{48} +(0.809017 - 0.587785i) q^{49} +(-3.27993 + 2.38301i) q^{50} +(-1.84203 + 2.68673i) 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} +(8.32445 - 0.227492i) q^{57} +(1.68464 - 5.18478i) q^{58} +(5.00962 - 1.62773i) q^{59} +(0.476564 - 1.61562i) q^{60} +(-4.75913 - 6.55038i) q^{61} +(0.728935 + 2.24343i) q^{62} +(1.62817 - 2.51974i) q^{63} +(-0.809017 - 0.587785i) q^{64} -2.89622 q^{65} +(3.89103 + 4.22610i) q^{66} -10.1641 q^{67} +(-1.52155 - 1.10547i) q^{68} +(-3.33173 - 9.37450i) q^{69} +(0.300523 + 0.924916i) q^{70} +(8.37489 + 11.5270i) q^{71} +(-1.08149 - 2.79828i) q^{72} +(-9.90401 + 3.21801i) q^{73} +(0.449588 - 1.38369i) q^{74} +(-0.191829 - 7.01949i) 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} +(1.83099 - 8.81178i) q^{81} +(2.27144 - 1.65030i) q^{82} +(0.173794 - 0.126269i) q^{83} +(1.42855 + 0.979414i) 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} +(1.84124 + 2.26316i) q^{90} +(0.920275 - 2.83231i) q^{91} +(5.46290 - 1.77500i) q^{92} +(-3.91878 - 1.15593i) q^{93} +(1.92098 + 2.64400i) q^{94} +(-1.44489 - 4.44692i) q^{95} +(1.63204 - 0.580034i) q^{96} +(11.5900 + 8.42062i) q^{97} -1.00000 q^{98} +(-9.84811 + 1.41941i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

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