LMFDB - Embedded newform 342.2.x.c.281.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [342,2,Mod(29,342)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(342, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([3, 17]))

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

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

chi := DirichletCharacter("342.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 342 = 2 \cdot 3^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	342.x (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.73088374913$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			281.5
Character	$\chi$	$=$	342.281
Dual form			342.2.x.c.185.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 - 0.642788i) q^{2} +(-0.690703 + 1.58837i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.635783 + 1.74680i) q^{5} +(0.491878 + 1.66074i) q^{6} +(0.984988 + 1.70605i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.04586 - 2.19419i) q^{9} +O(q^{10})$	\(q+(0.766044 - 0.642788i) q^{2} +(-0.690703 + 1.58837i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.635783 + 1.74680i) q^{5} +(0.491878 + 1.66074i) q^{6} +(0.984988 + 1.70605i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.04586 - 2.19419i) q^{9} +(0.635783 + 1.74680i) q^{10} +4.35726i q^{11} +(1.44430 + 0.956028i) q^{12} +(-0.907553 - 2.49348i) q^{13} +(1.85117 + 0.673771i) q^{14} +(-2.33543 - 2.21638i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-2.03332 + 5.58651i) q^{17} +(-2.97762 - 0.365792i) q^{18} +(-1.92194 + 3.91230i) q^{19} +(1.60986 + 0.929453i) q^{20} +(-3.39018 + 0.386156i) q^{21} +(2.80079 + 3.33786i) q^{22} +(7.45502 + 1.31452i) q^{23} +(1.72092 - 0.196021i) q^{24} +(1.18313 + 0.992766i) q^{25} +(-2.29801 - 1.32675i) q^{26} +(4.89827 - 1.73406i) q^{27} +(1.85117 - 0.673771i) q^{28} +(1.03103 - 5.84727i) q^{29} +(-3.21371 - 0.196658i) q^{30} -10.1488i q^{31} +(-0.939693 + 0.342020i) q^{32} +(-6.92096 - 3.00957i) q^{33} +(2.03332 + 5.58651i) q^{34} +(-3.60636 + 0.635899i) q^{35} +(-2.51611 + 1.63376i) q^{36} +7.52925i q^{37} +(1.04249 + 4.23240i) q^{38} +(4.58743 + 0.280722i) q^{39} +(1.83066 - 0.322796i) q^{40} +(0.525103 - 0.440614i) q^{41} +(-2.34881 + 2.47498i) q^{42} +(-1.43298 - 8.12682i) q^{43} +(4.29107 + 0.756631i) q^{44} +(5.13353 - 2.17868i) q^{45} +(6.55584 - 3.78501i) q^{46} +(1.39536 + 0.246040i) q^{47} +(1.19230 - 1.25635i) q^{48} +(1.55960 - 2.70130i) q^{49} +1.54447 q^{50} +(-7.46904 - 7.08829i) q^{51} +(-2.61320 + 0.460777i) q^{52} +(-1.35084 - 1.13349i) q^{53} +(2.63766 - 4.47691i) q^{54} +(-7.61127 - 2.77027i) q^{55} +(0.984988 - 1.70605i) q^{56} +(-4.88671 - 5.75501i) q^{57} +(-2.96874 - 5.14200i) q^{58} +(1.92823 + 10.9355i) q^{59} +(-2.58825 + 1.91508i) q^{60} +(-0.275927 + 0.100429i) q^{61} +(-6.52350 - 7.77440i) q^{62} +(1.72825 - 5.65159i) q^{63} +(-0.500000 + 0.866025i) q^{64} +4.93262 q^{65} +(-7.23628 + 2.14324i) q^{66} +(6.34892 - 7.56635i) q^{67} +(5.14855 + 2.97252i) q^{68} +(-7.23715 + 10.9334i) q^{69} +(-2.35389 + 2.80525i) q^{70} +(7.54343 - 6.32969i) q^{71} +(-0.877292 + 2.86886i) q^{72} +(-1.62915 - 9.23935i) q^{73} +(4.83971 + 5.76774i) q^{74} +(-2.39408 + 1.19355i) q^{75} +(3.51913 + 2.57211i) q^{76} +(-7.43371 + 4.29185i) q^{77} +(3.69462 - 2.73370i) q^{78} +(0.801550 - 2.20224i) q^{79} +(1.19488 - 1.42400i) q^{80} +(-0.628918 + 8.97800i) q^{81} +(0.119031 - 0.675060i) q^{82} +(2.04079 - 1.17825i) q^{83} +(-0.208409 + 3.40573i) q^{84} +(-8.46576 - 7.10361i) q^{85} +(-6.32155 - 5.30441i) q^{86} +(8.57551 + 5.67639i) q^{87} +(3.77350 - 2.17863i) q^{88} +(-1.40417 + 7.96342i) q^{89} +(2.53208 - 4.96873i) q^{90} +(3.36007 - 4.00438i) q^{91} +(2.58910 - 7.11350i) q^{92} +(16.1200 + 7.00978i) q^{93} +(1.22706 - 0.708443i) q^{94} +(-5.61207 - 5.84463i) q^{95} +(0.105793 - 1.72882i) q^{96} +(2.39549 + 2.85483i) q^{97} +(-0.541643 - 3.07181i) q^{98} +(9.56065 - 8.91435i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9}+O(q^{10}) $ 60 * q - 6 * q^3 - 30 * q^8 + 6 * q^9	$ 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9} + 3 q^{13} + 3 q^{14} + 27 q^{15} - 27 q^{17} - 18 q^{18} + 3 q^{19} + 18 q^{23} + 3 q^{24} - 6 q^{27} + 3 q^{28} + 57 q^{33} + 27 q^{34} + 9 q^{38} - 30 q^{39} + 9 q^{41} - 3 q^{43} - 9 q^{44} + 27 q^{45} - 30 q^{49} - 132 q^{50} - 66 q^{51} + 6 q^{52} + 27 q^{54} + 102 q^{57} - 54 q^{59} + 6 q^{60} - 24 q^{61} - 3 q^{62} - 30 q^{64} + 36 q^{65} - 63 q^{66} + 51 q^{67} - 18 q^{68} + 3 q^{69} - 18 q^{71} - 3 q^{72} - 66 q^{73} - 6 q^{74} + 3 q^{78} - 51 q^{79} - 30 q^{81} - 36 q^{83} + 60 q^{84} - 3 q^{86} + 54 q^{87} - 27 q^{89} + 36 q^{90} - 69 q^{91} + 69 q^{93} + 18 q^{94} - 27 q^{95} + 81 q^{97} + 60 q^{98} + 51 q^{99}+O(q^{100}) $ 60 * q - 6 * q^3 - 30 * q^8 + 6 * q^9 + 3 * q^13 + 3 * q^14 + 27 * q^15 - 27 * q^17 - 18 * q^18 + 3 * q^19 + 18 * q^23 + 3 * q^24 - 6 * q^27 + 3 * q^28 + 57 * q^33 + 27 * q^34 + 9 * q^38 - 30 * q^39 + 9 * q^41 - 3 * q^43 - 9 * q^44 + 27 * q^45 - 30 * q^49 - 132 * q^50 - 66 * q^51 + 6 * q^52 + 27 * q^54 + 102 * q^57 - 54 * q^59 + 6 * q^60 - 24 * q^61 - 3 * q^62 - 30 * q^64 + 36 * q^65 - 63 * q^66 + 51 * q^67 - 18 * q^68 + 3 * q^69 - 18 * q^71 - 3 * q^72 - 66 * q^73 - 6 * q^74 + 3 * q^78 - 51 * q^79 - 30 * q^81 - 36 * q^83 + 60 * q^84 - 3 * q^86 + 54 * q^87 - 27 * q^89 + 36 * q^90 - 69 * q^91 + 69 * q^93 + 18 * q^94 - 27 * q^95 + 81 * q^97 + 60 * q^98 + 51 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/342\mathbb{Z}\right)^\times$.

$n$	$191$	$325$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{18}\right)$

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 $

$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$3$	−0.690703	+	1.58837i	−0.398777	+	0.917048i
$3$	−0.690703	+	1.58837i	−0.398777	+	0.917048i
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	−0.635783	+	1.74680i	−0.284331	+	0.781193i	0.712502	+	0.701670i	$0.247562\pi$
$5$	−0.635783	+	1.74680i	−0.284331	+	0.781193i	−0.996833	+	0.0795227i	$0.974660\pi$
$6$	0.491878	+	1.66074i	0.200808	+	0.677994i
$7$	0.984988	+	1.70605i	0.372290	+	0.644826i	0.989917	−	0.141645i	$-0.0452392\pi$
$7$	0.984988	+	1.70605i	0.372290	+	0.644826i	−0.617627	+	0.786471i	$0.711906\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	−2.04586	−	2.19419i	−0.681953	−	0.731396i
$10$	0.635783	+	1.74680i	0.201052	+	0.552387i
$11$			4.35726i			1.31376i	0.753993	+	0.656882i	$0.228125\pi$
$11$			4.35726i			1.31376i	−0.753993	+	0.656882i	$0.771875\pi$
$12$	1.44430	+	0.956028i	0.416934	+	0.275981i
$13$	−0.907553	−	2.49348i	−0.251710	−	0.691568i	−0.999615	−	0.0277614i	$-0.991162\pi$
$13$	−0.907553	−	2.49348i	−0.251710	−	0.691568i	0.747905	−	0.663806i	$-0.231060\pi$
$14$	1.85117	+	0.673771i	0.494746	+	0.180073i
$15$	−2.33543	−	2.21638i	−0.603006	−	0.572267i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	−2.03332	+	5.58651i	−0.493153	+	1.35493i	0.404627	+	0.914482i	$0.367401\pi$
$17$	−2.03332	+	5.58651i	−0.493153	+	1.35493i	−0.897780	+	0.440445i	$0.854821\pi$
$18$	−2.97762	−	0.365792i	−0.701831	−	0.0862180i
$19$	−1.92194	+	3.91230i	−0.440924	+	0.897544i
$19$	−1.92194	+	3.91230i	−0.440924	+	0.897544i
$20$	1.60986	+	0.929453i	0.359975	+	0.207832i
$21$	−3.39018	+	0.386156i	−0.739797	+	0.0842661i
$22$	2.80079	+	3.33786i	0.597131	+	0.711634i
$23$	7.45502	+	1.31452i	1.55448	+	0.274097i	0.883877	−	0.467720i	$-0.154924\pi$
$23$	7.45502	+	1.31452i	1.55448	+	0.274097i	0.670603	+	0.741817i	$0.266036\pi$
$24$	1.72092	−	0.196021i	0.351282	−	0.0400125i
$25$	1.18313	+	0.992766i	0.236627	+	0.198553i
$26$	−2.29801	−	1.32675i	−0.450676	−	0.260198i
$27$	4.89827	−	1.73406i	0.942672	−	0.333719i
$28$	1.85117	−	0.673771i	0.349839	−	0.127331i
$29$	1.03103	−	5.84727i	0.191458	−	1.08581i	−0.725916	−	0.687783i	$-0.758584\pi$
$29$	1.03103	−	5.84727i	0.191458	−	1.08581i	0.917374	−	0.398027i	$-0.130305\pi$
$30$	−3.21371	−	0.196658i	−0.586740	−	0.0359048i
$31$		−	10.1488i		−	1.82277i	−0.411553	−	0.911386i	$-0.635014\pi$
$31$		−	10.1488i		−	1.82277i	0.411553	−	0.911386i	$-0.364986\pi$
$32$	−0.939693	+	0.342020i	−0.166116	+	0.0604612i
$33$	−6.92096	−	3.00957i	−1.20478	−	0.523900i
$34$	2.03332	+	5.58651i	0.348712	+	0.958078i
$35$	−3.60636	+	0.635899i	−0.609587	+	0.107487i
$36$	−2.51611	+	1.63376i	−0.419352	+	0.272294i
$37$			7.52925i			1.23780i	0.785470	+	0.618900i	$0.212422\pi$
$37$			7.52925i			1.23780i	−0.785470	+	0.618900i	$0.787578\pi$
$38$	1.04249	+	4.23240i	0.169114	+	0.686586i
$39$	4.58743	+	0.280722i	0.734577	+	0.0449514i
$40$	1.83066	−	0.322796i	0.289453	−	0.0510385i
$41$	0.525103	−	0.440614i	0.0820074	−	0.0688124i	−0.600862	−	0.799352i	$-0.705176\pi$
$41$	0.525103	−	0.440614i	0.0820074	−	0.0688124i	0.682870	+	0.730540i	$0.260732\pi$
$42$	−2.34881	+	2.47498i	−0.362429	+	0.381897i
$43$	−1.43298	−	8.12682i	−0.218527	−	1.23933i	−0.874680	−	0.484701i	$-0.838928\pi$
$43$	−1.43298	−	8.12682i	−0.218527	−	1.23933i	0.656153	−	0.754628i	$-0.272183\pi$
$44$	4.29107	+	0.756631i	0.646903	+	0.114066i
$45$	5.13353	−	2.17868i	0.765261	−	0.324778i
$46$	6.55584	−	3.78501i	0.966605	−	0.558070i
$47$	1.39536	+	0.246040i	0.203534	+	0.0358886i	0.274486	−	0.961591i	$-0.411492\pi$
$47$	1.39536	+	0.246040i	0.203534	+	0.0358886i	−0.0709514	+	0.997480i	$0.522604\pi$
$48$	1.19230	−	1.25635i	0.172094	−	0.181338i
$49$	1.55960	−	2.70130i	0.222800	−	0.385900i
$50$	1.54447			0.218421
$51$	−7.46904	−	7.08829i	−1.04587	−	0.992559i
$52$	−2.61320	+	0.460777i	−0.362385	+	0.0638983i
$53$	−1.35084	−	1.13349i	−0.185552	−	0.155697i	0.545280	−	0.838254i	$-0.316423\pi$
$53$	−1.35084	−	1.13349i	−0.185552	−	0.155697i	−0.730832	+	0.682557i	$0.760868\pi$
$54$	2.63766	−	4.47691i	0.358940	−	0.609231i
$55$	−7.61127	−	2.77027i	−1.02630	−	0.373544i
$56$	0.984988	−	1.70605i	0.131625	−	0.227980i
$57$	−4.88671	−	5.75501i	−0.647260	−	0.762269i
$58$	−2.96874	−	5.14200i	−0.389814	−	0.675178i
$59$	1.92823	+	10.9355i	0.251034	+	1.42368i	0.806051	+	0.591845i	$0.201600\pi$
$59$	1.92823	+	10.9355i	0.251034	+	1.42368i	−0.555018	+	0.831839i	$0.687288\pi$
$60$	−2.58825	+	1.91508i	−0.334142	+	0.247236i
$61$	−0.275927	+	0.100429i	−0.0353288	+	0.0128586i	−0.359624	−	0.933097i	$-0.617095\pi$
$61$	−0.275927	+	0.100429i	−0.0353288	+	0.0128586i	0.324295	+	0.945956i	$0.394873\pi$
$62$	−6.52350	−	7.77440i	−0.828485	−	0.987350i
$63$	1.72825	−	5.65159i	0.217738	−	0.712033i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	4.93262			0.611816
$66$	−7.23628	+	2.14324i	−0.890725	+	0.263815i
$67$	6.34892	−	7.56635i	0.775644	−	0.924377i	−0.223084	−	0.974799i	$-0.571612\pi$
$67$	6.34892	−	7.56635i	0.775644	−	0.924377i	0.998728	+	0.0504226i	$0.0160568\pi$
$68$	5.14855	+	2.97252i	0.624354	+	0.360471i
$69$	−7.23715	+	10.9334i	−0.871251	+	1.31623i
$70$	−2.35389	+	2.80525i	−0.281343	+	0.335292i
$71$	7.54343	−	6.32969i	0.895241	−	0.751196i	−0.0740137	−	0.997257i	$-0.523581\pi$
$71$	7.54343	−	6.32969i	0.895241	−	0.751196i	0.969254	+	0.246061i	$0.0791364\pi$
$72$	−0.877292	+	2.86886i	−0.103390	+	0.338098i
$73$	−1.62915	−	9.23935i	−0.190677	−	1.08138i	−0.918441	−	0.395557i	$-0.870552\pi$
$73$	−1.62915	−	9.23935i	−0.190677	−	1.08138i	0.727764	−	0.685827i	$-0.240559\pi$
$74$	4.83971	+	5.76774i	0.562605	+	0.670486i
$75$	−2.39408	+	1.19355i	−0.276444	+	0.137819i
$76$	3.51913	+	2.57211i	0.403671	+	0.295041i
$77$	−7.43371	+	4.29185i	−0.847149	+	0.489102i
$78$	3.69462	−	2.73370i	0.418333	−	0.309530i
$79$	0.801550	−	2.20224i	0.0901814	−	0.247771i	−0.886400	−	0.462920i	$-0.846802\pi$
$79$	0.801550	−	2.20224i	0.0901814	−	0.247771i	0.976581	+	0.215149i	$0.0690238\pi$
$80$	1.19488	−	1.42400i	0.133592	−	0.159209i
$81$	−0.628918	+	8.97800i	−0.0698798	+	0.997555i
$82$	0.119031	−	0.675060i	0.0131448	−	0.0745479i
$83$	2.04079	−	1.17825i	0.224005	−	0.129330i	−0.383798	−	0.923417i	$-0.625384\pi$
$83$	2.04079	−	1.17825i	0.224005	−	0.129330i	0.607803	+	0.794087i	$0.292051\pi$
$84$	−0.208409	+	3.40573i	−0.0227393	+	0.371595i
$85$	−8.46576	−	7.10361i	−0.918240	−	0.770495i
$86$	−6.32155	−	5.30441i	−0.681670	−	0.571989i
$87$	8.57551	+	5.67639i	0.919391	+	0.608573i
$88$	3.77350	−	2.17863i	0.402257	−	0.232243i
$89$	−1.40417	+	7.96342i	−0.148841	+	0.844121i	0.815361	+	0.578953i	$0.196539\pi$
$89$	−1.40417	+	7.96342i	−0.148841	+	0.844121i	−0.964202	+	0.265168i	$0.914573\pi$
$90$	2.53208	−	4.96873i	0.266905	−	0.523751i
$91$	3.36007	−	4.00438i	0.352232	−	0.419773i
$92$	2.58910	−	7.11350i	0.269932	−	0.741633i
$93$	16.1200	+	7.00978i	1.67157	+	0.726880i
$94$	1.22706	−	0.708443i	0.126562	−	0.0730703i
$95$	−5.61207	−	5.84463i	−0.575787	−	0.599646i
$96$	0.105793	−	1.72882i	0.0107974	−	0.176447i
$97$	2.39549	+	2.85483i	0.243225	+	0.289864i	0.873822	−	0.486247i	$-0.161634\pi$
$97$	2.39549	+	2.85483i	0.243225	+	0.289864i	−0.630597	+	0.776111i	$0.717190\pi$
$98$	−0.541643	−	3.07181i	−0.0547142	−	0.310299i
$99$	9.56065	−	8.91435i	0.960882	−	0.895926i
$100$	1.18313	−	0.992766i	0.118313	−	0.0992766i
$101$	−11.5476	+	13.7619i	−1.14903	+	1.36936i	−0.230944	+	0.972967i	$0.574181\pi$
$101$	−11.5476	+	13.7619i	−1.14903	+	1.36936i	−0.918083	+	0.396389i	$0.870263\pi$
$102$	−10.2779	−	0.628941i	−1.01766	−	0.0622744i
$103$	11.8581	+	6.84630i	1.16842	+	0.674586i	0.953307	−	0.302004i	$-0.0976556\pi$
$103$	11.8581	+	6.84630i	1.16842	+	0.674586i	0.215110	+	0.976590i	$0.430989\pi$
$104$	−1.70564	+	2.03271i	−0.167252	+	0.199323i
$105$	1.48088	−	6.16747i	0.144519	−	0.601884i
$106$	−1.76340			−0.171276
$107$	−2.64597	+	4.58295i	−0.255795	+	0.443050i	−0.965111	−	0.261840i	$-0.915671\pi$
$107$	−2.64597	+	4.58295i	−0.255795	+	0.443050i	0.709316	+	0.704891i	$0.249004\pi$
$108$	−0.857137	−	5.12497i	−0.0824781	−	0.493150i
$109$	−1.01195	−	1.20600i	−0.0969274	−	0.115514i	0.715400	−	0.698715i	$-0.246244\pi$
$109$	−1.01195	−	1.20600i	−0.0969274	−	0.115514i	−0.812328	+	0.583201i	$0.801800\pi$
$110$	−7.61127	+	2.77027i	−0.725706	+	0.264135i
$111$	−11.9593	−	5.20047i	−1.13512	−	0.493607i
$112$	−0.342083	−	1.94005i	−0.0323238	−	0.183317i
$113$	−6.01395	−	10.4165i	−0.565745	−	0.979899i	−0.996980	−	0.0776592i	$-0.975255\pi$
$113$	−6.01395	−	10.4165i	−0.565745	−	0.979899i	0.431235	−	0.902240i	$-0.358078\pi$
$114$	−7.44268	−	1.26747i	−0.697071	−	0.118710i
$115$	−7.03598	+	12.1867i	−0.656109	+	1.13641i
$116$	−5.57940	−	2.03074i	−0.518034	−	0.188549i
$117$	−3.61444	+	7.09266i	−0.334155	+	0.655716i
$118$	8.50633	+	7.13766i	0.783071	+	0.657075i
$119$	−11.5337	+	2.03369i	−1.05729	+	0.186428i
$120$	−0.751725	+	3.13073i	−0.0686228	+	0.285796i
$121$	−7.98574			−0.725977
$122$	−0.146818	+	0.254296i	−0.0132922	+	0.0230228i
$123$	0.337169	+	1.13839i	0.0304015	+	0.102645i
$124$	−9.99458	−	1.76231i	−0.897540	−	0.158260i
$125$	−10.5357	+	6.08278i	−0.942340	+	0.544060i
$126$	−2.30886	−	5.44026i	−0.205689	−	0.484657i
$127$	10.7962	+	1.90366i	0.958006	+	0.168922i	0.630727	−	0.776005i	$-0.282757\pi$
$127$	10.7962	+	1.90366i	0.958006	+	0.168922i	0.327280	+	0.944927i	$0.393868\pi$
$128$	0.173648	+	0.984808i	0.0153485	+	0.0870455i
$129$	13.8982	+	3.33711i	1.22367	+	0.293817i
$130$	3.77861	−	3.17063i	0.331406	−	0.278083i
$131$	13.2018	−	2.32783i	1.15344	−	0.203383i	0.435965	−	0.899963i	$-0.356407\pi$
$131$	13.2018	−	2.32783i	1.15344	−	0.203383i	0.717479	+	0.696580i	$0.245296\pi$
$132$	−4.16566	+	6.29321i	−0.362575	+	0.547754i
$133$	−8.56768	+	0.574640i	−0.742912	+	0.0498276i
$134$		−	9.87717i		−	0.853257i
$135$	−0.0851866	+	9.65878i	−0.00733170	+	0.831295i
$136$	5.85472	−	1.03234i	0.502038	−	0.0885228i
$137$	−4.68959	−	12.8846i	−0.400659	−	1.10080i	−0.961960	−	0.273190i	$-0.911921\pi$
$137$	−4.68959	−	12.8846i	−0.400659	−	1.10080i	0.561301	−	0.827612i	$-0.310301\pi$
$138$	1.48388	+	13.0274i	0.126316	+	1.10897i
$139$	−3.41096	+	1.24149i	−0.289314	+	0.105302i	−0.482600	−	0.875841i	$-0.660308\pi$
$139$	−3.41096	+	1.24149i	−0.289314	+	0.105302i	0.193286	+	0.981142i	$0.438085\pi$
$140$			3.66200i			0.309495i
$141$	−1.35458	+	2.04641i	−0.114076	+	0.172339i
$142$	1.70996	−	9.69765i	0.143496	−	0.813809i
$143$	10.8648	−	3.95445i	0.908557	−	0.330688i
$144$	1.17202	+	2.76159i	0.0976686	+	0.230132i
$145$	9.55850	+	5.51860i	0.793790	+	0.458295i
$146$	−7.18694	−	6.03056i	−0.594795	−	0.499093i
$147$	3.21346	+	4.34302i	0.265042	+	0.358206i
$148$	7.41486	+	1.30744i	0.609498	+	0.107471i
$149$	0.906757	+	1.08063i	0.0742845	+	0.0885288i	0.801907	−	0.597449i	$-0.203819\pi$
$149$	0.906757	+	1.08063i	0.0742845	+	0.0885288i	−0.727622	+	0.685978i	$0.759375\pi$
$150$	−1.06677	+	2.45320i	−0.0871014	+	0.200303i
$151$	−3.98194	−	2.29898i	−0.324046	−	0.187088i	0.329149	−	0.944278i	$-0.393238\pi$
$151$	−3.98194	−	2.29898i	−0.324046	−	0.187088i	−0.653195	+	0.757190i	$0.726572\pi$
$152$	4.34913	−	0.291699i	0.352761	−	0.0236599i
$153$	16.4177	−	6.96772i	1.32730	−	0.563307i
$154$	−2.93580	+	8.06604i	−0.236573	+	0.649980i
$155$	17.7279	+	6.45241i	1.42394	+	0.518270i
$156$	1.07306	−	4.46899i	0.0859132	−	0.357806i
$157$	−3.96046	−	1.44149i	−0.316079	−	0.115043i	0.179109	−	0.983829i	$-0.442679\pi$
$157$	−3.96046	−	1.44149i	−0.316079	−	0.115043i	−0.495188	+	0.868786i	$0.664901\pi$
$158$	−0.801550	−	2.20224i	−0.0637679	−	0.175201i
$159$	2.73343	−	1.36273i	0.216775	−	0.108072i
$160$		−	1.85891i		−	0.146959i
$161$	5.10047	+	14.0134i	0.401973	+	1.10441i
$162$	5.28917	+	7.28181i	0.415556	+	0.572113i
$163$	9.36712	+	16.2243i	0.733689	+	1.27079i	0.955296	+	0.295651i	$0.0955366\pi$
$163$	9.36712	+	16.2243i	0.733689	+	1.27079i	−0.221607	+	0.975136i	$0.571130\pi$
$164$	−0.342737	−	0.593638i	−0.0267633	−	0.0463553i
$165$	9.65735	−	10.1761i	0.751824	−	0.792208i
$166$	0.805969	−	2.21438i	0.0625553	−	0.171869i
$167$	−1.09261	+	6.19651i	−0.0845489	+	0.479500i	0.912904	+	0.408174i	$0.133834\pi$
$167$	−1.09261	+	6.19651i	−0.0845489	+	0.479500i	−0.997453	+	0.0713264i	$0.977277\pi$
$168$	2.02951	+	2.74290i	0.156580	+	0.211619i
$169$	4.56478	−	3.83030i	0.351137	−	0.294639i
$170$	−11.0513			−0.847593
$171$	12.5164	−	3.78692i	0.957150	−	0.289593i
$172$	−8.25219			−0.629224
$173$	4.05195	−	3.39999i	0.308064	−	0.258496i	−0.475627	−	0.879647i	$-0.657779\pi$
$173$	4.05195	−	3.39999i	0.308064	−	0.258496i	0.783691	+	0.621151i	$0.213334\pi$
$174$	10.2179	−	1.16387i	0.774619	−	0.0882325i
$175$	−0.528337	+	2.99635i	−0.0399385	+	0.226502i
$176$	1.49027	−	4.09449i	0.112333	−	0.308634i
$177$	−18.7015	−	4.49045i	−1.40569	−	0.337523i
$178$	4.04314	+	7.00292i	0.303046	+	0.524891i
$179$	−2.45370	−	4.24993i	−0.183398	−	0.317654i	0.759638	−	0.650347i	$-0.225376\pi$
$179$	−2.45370	−	4.24993i	−0.183398	−	0.317654i	−0.943035	+	0.332692i	$0.892043\pi$
$180$	−1.25415	−	5.43386i	−0.0934790	−	0.405016i
$181$	1.13442	+	3.11679i	0.0843207	+	0.231669i	0.974686	−	0.223577i	$-0.0717734\pi$
$181$	1.13442	+	3.11679i	0.0843207	+	0.231669i	−0.890366	+	0.455246i	$0.849551\pi$
$182$		−	5.22735i		−	0.387477i
$183$	0.0310644	−	0.507642i	0.00229635	−	0.0375259i
$184$	−2.58910	−	7.11350i	−0.190871	−	0.524414i
$185$	−13.1521	−	4.78697i	−0.966961	−	0.351945i
$186$	16.8545	−	4.99195i	1.23583	−	0.366027i
$187$	−24.3419	−	8.85972i	−1.78005	−	0.647887i
$188$	0.484604	−	1.33144i	0.0353434	−	0.0971051i
$189$	7.78312	+	6.64866i	0.566139	+	0.483619i
$190$	−8.05595	−	0.869876i	−0.584440	−	0.0631074i
$191$	4.11888	+	2.37804i	0.298032	+	0.172069i	0.641558	−	0.767074i	$-0.278288\pi$
$191$	4.11888	+	2.37804i	0.298032	+	0.172069i	−0.343527	+	0.939143i	$0.611622\pi$
$192$	−1.03022	−	1.39235i	−0.0743497	−	0.100484i
$193$	5.98793	+	7.13614i	0.431021	+	0.513671i	0.937217	−	0.348748i	$-0.113393\pi$
$193$	5.98793	+	7.13614i	0.431021	+	0.513671i	−0.506196	+	0.862419i	$0.668949\pi$
$194$	3.67010	+	0.647137i	0.263498	+	0.0464617i
$195$	−3.40698	+	7.83485i	−0.243979	+	0.561065i
$196$	−2.38944	−	2.00498i	−0.170674	−	0.143213i
$197$	16.4843	+	9.51721i	1.17446	+	0.678073i	0.954726	−	0.297488i	$-0.0961487\pi$
$197$	16.4843	+	9.51721i	1.17446	+	0.678073i	0.219731	+	0.975560i	$0.429482\pi$
$198$	1.59385	−	12.9743i	0.113270	−	0.922040i
$199$	−15.5261	+	5.65102i	−1.10061	+	0.400590i	−0.827542	−	0.561404i	$-0.810261\pi$
$199$	−15.5261	+	5.65102i	−1.10061	+	0.400590i	−0.273071	+	0.961994i	$0.588039\pi$
$200$	0.268194	−	1.52101i	0.0189642	−	0.107551i
$201$	7.63297	+	15.3106i	0.538388	+	1.07992i
$202$			17.9648i			1.26400i
$203$	10.9913	−	4.00050i	0.771437	−	0.280780i
$204$	−8.27759	+	6.12470i	−0.579547	+	0.428815i
$205$	0.435813	+	1.19739i	0.0304385	+	0.0836290i
$206$	13.4846	−	2.37769i	0.939515	−	0.165662i
$207$	−12.3676	−	19.0470i	−0.859609	−	1.32386i
$208$			2.65351i			0.183988i
$209$	−17.0469	−	8.37442i	−1.17916	−	0.579271i
$210$	−2.82995	−	5.67645i	−0.195285	−	0.391712i
$211$	−27.5461	+	4.85712i	−1.89635	+	0.334378i	−0.995096	−	0.0989142i	$-0.968463\pi$
$211$	−27.5461	+	4.85712i	−1.89635	+	0.334378i	−0.901254	+	0.433292i	$0.857352\pi$
$212$	−1.35084	+	1.13349i	−0.0927760	+	0.0778483i
$213$	4.84364	+	16.3537i	0.331881	+	1.12054i
$214$	0.918934	+	5.21154i	0.0628171	+	0.356253i
$215$	15.1070	+	2.66377i	1.03029	+	0.181668i
$216$	−3.95087	−	3.37500i	−0.268823	−	0.229639i
$217$	17.3143	−	9.99641i	1.17537	−	0.678600i
$218$	−1.55040	−	0.273377i	−0.105006	−	0.0185155i
$219$	15.8008	+	3.79395i	1.06772	+	0.256371i
$220$	−4.04987	+	7.01458i	−0.273042	+	0.472923i
$221$	15.7752			1.06116
$222$	−12.5041	+	3.70347i	−0.839222	+	0.248561i
$223$	11.5579	−	2.03797i	0.773974	−	0.136472i	0.227307	−	0.973823i	$-0.427008\pi$
$223$	11.5579	−	2.03797i	0.773974	−	0.136472i	0.546666	+	0.837351i	$0.315897\pi$
$224$	−1.50909	−	1.26628i	−0.100830	−	0.0846066i
$225$	−0.242208	−	4.62708i	−0.0161472	−	0.308472i
$226$	−11.3025	−	4.11378i	−0.751833	−	0.273645i
$227$	0.543147	−	0.940758i	0.0360499	−	0.0624403i	−0.847438	−	0.530895i	$-0.821856\pi$
$227$	0.543147	−	0.940758i	0.0360499	−	0.0624403i	0.883487	+	0.468455i	$0.155189\pi$
$228$	−6.51614	+	3.81312i	−0.431542	+	0.252530i
$229$	5.21546	+	9.03344i	0.344647	+	0.596947i	0.985290	−	0.170893i	$-0.0546652\pi$
$229$	5.21546	+	9.03344i	0.344647	+	0.596947i	−0.640642	+	0.767839i	$0.721332\pi$
$230$	2.44357	+	13.8582i	0.161124	+	0.913781i
$231$	−1.68258	−	14.7719i	−0.110706	−	0.971919i
$232$	−5.57940	+	2.03074i	−0.366305	+	0.133324i
$233$	−8.23624	−	9.81557i	−0.539574	−	0.643039i	0.425518	−	0.904950i	$-0.360092\pi$
$233$	−8.23624	−	9.81557i	−0.539574	−	0.643039i	−0.965092	+	0.261911i	$0.915647\pi$
$234$	1.79025	+	7.75661i	0.117032	+	0.507065i
$235$	−1.31693	+	2.28099i	−0.0859070	+	0.148795i
$236$	11.1042			0.722823
$237$	2.94435	+	2.79425i	0.191256	+	0.181506i
$238$	−7.52806	+	8.97159i	−0.487971	+	0.581542i
$239$	−14.2897	−	8.25015i	−0.924322	−	0.533658i	−0.0393110	−	0.999227i	$-0.512516\pi$
$239$	−14.2897	−	8.25015i	−0.924322	−	0.533658i	−0.885011	+	0.465569i	$0.845850\pi$
$240$	1.43654	+	2.88148i	0.0927284	+	0.185999i
$241$	−7.25221	+	8.64285i	−0.467156	+	0.556735i	−0.947256	−	0.320479i	$-0.896156\pi$
$241$	−7.25221	+	8.64285i	−0.467156	+	0.556735i	0.480100	+	0.877214i	$0.340600\pi$
$242$	−6.11744	+	5.13314i	−0.393244	+	0.329971i
$243$	−13.8260	−	7.20009i	−0.886939	−	0.461886i
$244$	0.0509892	+	0.289174i	0.00326425	+	0.0185125i
$245$	3.72707	+	4.44175i	0.238114	+	0.283773i
$246$	0.990032	+	0.655332i	0.0631221	+	0.0417824i
$247$	11.4995	+	1.24171i	0.731698	+	0.0790082i
$248$	−8.78909	+	5.07438i	−0.558108	+	0.322224i
$249$	0.461922	+	4.05535i	0.0292731	+	0.256997i
$250$	−4.16086	+	11.4319i	−0.263156	+	0.723016i
$251$	−3.09045	+	3.68305i	−0.195067	+	0.232472i	−0.854708	−	0.519109i	$-0.826264\pi$
$251$	−3.09045	+	3.68305i	−0.195067	+	0.232472i	0.659641	+	0.751581i	$0.270708\pi$
$252$	−5.26562	−	2.68338i	−0.331703	−	0.169037i
$253$	−5.72772	+	32.4835i	−0.360098	+	2.04222i
$254$	9.49400	−	5.48137i	0.595707	−	0.343931i
$255$	17.1305	−	8.54030i	1.07275	−	0.534814i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	−19.0845	−	16.0138i	−1.19046	−	0.998916i	−0.999851	−	0.0172500i	$-0.994509\pi$
$257$	−19.0845	−	16.0138i	−1.19046	−	0.998916i	−0.190610	−	0.981666i	$-0.561047\pi$
$258$	12.7917	−	6.37721i	0.796376	−	0.397028i
$259$	−12.8453	+	7.41622i	−0.798166	+	0.460821i
$260$	0.856541	−	4.85768i	0.0531204	−	0.301261i
$261$	−14.9393	+	9.70041i	−0.924723	+	0.600441i
$262$	8.61685	−	10.2692i	0.532351	−	0.634431i
$263$	6.07255	−	16.6842i	0.374450	−	1.02879i	−0.599172	−	0.800621i	$-0.704503\pi$
$263$	6.07255	−	16.6842i	0.374450	−	1.02879i	0.973621	−	0.228171i	$-0.0732745\pi$
$264$	0.854113	+	7.49851i	0.0525670	+	0.461502i
$265$	2.83882	−	1.63899i	0.174387	−	0.100683i
$266$	−6.19385	+	5.94740i	−0.379769	+	0.364658i
$267$	−11.6790	−	7.73070i	−0.714745	−	0.473111i
$268$	−6.34892	−	7.56635i	−0.387822	−	0.462188i
$269$	−0.577385	−	3.27451i	−0.0352038	−	0.199651i	0.962133	−	0.272579i	$-0.0878766\pi$
$269$	−0.577385	−	3.27451i	−0.0352038	−	0.199651i	−0.997337	+	0.0729285i	$0.976766\pi$
$270$	6.14329	+	7.45381i	0.373869	+	0.453625i
$271$	−8.25716	+	6.92858i	−0.501587	+	0.420881i	−0.858157	−	0.513387i	$-0.828390\pi$
$271$	−8.25716	+	6.92858i	−0.501587	+	0.420881i	0.356570	+	0.934268i	$0.383946\pi$
$272$	3.82140	−	4.55416i	0.231706	−	0.276137i
$273$	4.03964	+	8.10289i	0.244490	+	0.490409i
$274$	−11.8745	−	6.85573i	−0.717363	−	0.414170i
$275$	−4.32575	+	5.15522i	−0.260852	+	0.310872i
$276$	9.51059	+	9.02577i	0.572470	+	0.543288i
$277$	12.6527			0.760229			0.380114	−	0.924939i	$-0.375885\pi$
$277$	12.6527			0.760229			0.380114	+	0.924939i	$0.375885\pi$
$278$	−1.81494	+	3.14356i	−0.108853	+	0.188538i
$279$	−22.2683	+	20.7629i	−1.33317	+	1.24304i
$280$	2.35389	+	2.80525i	0.140672	+	0.167646i
$281$	−21.2001	+	7.71621i	−1.26469	+	0.460311i	−0.885341	−	0.464942i	$-0.846075\pi$
$281$	−21.2001	+	7.71621i	−1.26469	+	0.460311i	−0.379352	+	0.925252i	$0.623853\pi$
$282$	0.277739	+	2.43835i	0.0165391	+	0.145202i
$283$	−5.20054	−	29.4938i	−0.309140	−	1.75322i	−0.603346	−	0.797479i	$-0.706166\pi$
$283$	−5.20054	−	29.4938i	−0.309140	−	1.75322i	0.294206	−	0.955742i	$-0.404945\pi$
$284$	−4.92363	−	8.52797i	−0.292163	−	0.506042i
$285$	13.1597	−	4.87716i	0.779515	−	0.288898i
$286$	5.78102	−	10.0130i	0.341839	−	0.592082i
$287$	1.26893	+	0.461853i	0.0749025	+	0.0272623i
$288$	2.67294	+	1.36214i	0.157504	+	0.0802647i
$289$	−14.0519	−	11.7909i	−0.826582	−	0.693585i
$290$	10.8695	−	1.91659i	0.638280	−	0.112546i
$291$	−6.18910	+	1.83309i	−0.362812	+	0.107458i
$292$	−9.38188			−0.549033
$293$	5.28827	−	9.15956i	0.308944	−	0.535107i	−0.669187	−	0.743094i	$-0.733358\pi$
$293$	5.28827	−	9.15956i	0.308944	−	0.535107i	0.978132	+	0.207986i	$0.0666910\pi$
$294$	5.25329	+	1.26138i	0.306378	+	0.0735649i
$295$	−20.3281	−	3.58439i	−1.18355	−	0.208691i
$296$	6.52052	−	3.76462i	0.378998	−	0.218814i
$297$	7.55574	+	21.3431i	0.438429	+	1.23845i
$298$	1.38923	+	0.244959i	0.0804761	+	0.0141901i
$299$	−3.48809	−	19.7820i	−0.201722	−	1.14402i
$300$	0.759691	+	2.56496i	0.0438608	+	0.148088i
$301$	12.4533	−	10.4496i	0.717796	−	0.602302i
$302$	−4.52810	+	0.798426i	−0.260563	+	0.0459442i
$303$	−13.8830	−	27.8472i	−0.797559	−	1.59978i
$304$	3.14412	−	3.01902i	0.180328	−	0.173153i
$305$		−	0.545840i		−	0.0312547i
$306$	8.09795	−	15.8907i	0.462929	−	0.908411i
$307$	8.53852	−	1.50557i	0.487319	−	0.0859275i	0.0754102	−	0.997153i	$-0.475973\pi$
$307$	8.53852	−	1.50557i	0.487319	−	0.0859275i	0.411909	+	0.911225i	$0.364862\pi$
$308$	2.93580	+	8.06604i	0.167283	+	0.459605i
$309$	−19.0649	+	14.1064i	−1.08457	+	0.802484i
$310$	17.7279	−	6.45241i	1.00687	−	0.366472i
$311$		−	14.5026i		−	0.822365i	−0.911553	−	0.411182i	$-0.865116\pi$
$311$		−	14.5026i		−	0.822365i	0.911553	−	0.411182i	$-0.134884\pi$
$312$	−2.05060	−	4.11319i	−0.116093	−	0.232864i
$313$	2.03183	−	11.5231i	0.114846	−	0.651322i	−0.871981	−	0.489540i	$-0.837165\pi$
$313$	2.03183	−	11.5231i	0.114846	−	0.651322i	0.986827	−	0.161782i	$-0.0517241\pi$
$314$	−3.96046	+	1.44149i	−0.223502	+	0.0813480i
$315$	8.77340	+	6.61208i	0.494325	+	0.372549i
$316$	−2.02960	−	1.17179i	−0.114174	−	0.0659182i
$317$	−18.7801	−	15.7584i	−1.05480	−	0.885079i	−0.0612059	−	0.998125i	$-0.519495\pi$
$317$	−18.7801	−	15.7584i	−1.05480	−	0.885079i	−0.993590	+	0.113047i	$0.963939\pi$
$318$	1.21798	−	2.80093i	0.0683010	−	0.157068i
$319$	25.4781	+	4.49247i	1.42650	+	0.251530i
$320$	−1.19488	−	1.42400i	−0.0667959	−	0.0796043i
$321$	−5.45186	−	7.36824i	−0.304293	−	0.411255i
$322$	12.9148	+	7.45638i	0.719716	+	0.415528i
$323$	−17.9482	−	18.6919i	−0.998664	−	1.04005i
$324$	8.73239	+	2.17838i	0.485133	+	0.121021i
$325$	1.40169	−	3.85111i	0.0777517	−	0.213621i
$326$	17.6044	+	6.40749i	0.975019	+	0.354878i
$327$	2.61453	−	0.774372i	0.144584	−	0.0428229i
$328$	−0.644135	−	0.234446i	−0.0355664	−	0.0129451i
$329$	0.954658	+	2.62290i	0.0526320	+	0.144605i
$330$	0.856893	−	14.0030i	0.0471704	−	0.770838i
$331$			28.9963i			1.59378i	0.604124	+	0.796890i	$0.293523\pi$
$331$			28.9963i			1.59378i	−0.604124	+	0.796890i	$0.706477\pi$
$332$	−0.805969	−	2.21438i	−0.0442333	−	0.121530i
$333$	16.5206	−	15.4038i	0.905322	−	0.844122i
$334$	3.14605	+	5.44912i	0.172144	+	0.298163i
$335$	9.18036	+	15.9009i	0.501577	+	0.868756i
$336$	3.31780	+	0.796641i	0.181001	+	0.0434603i
$337$	0.388743	−	1.06806i	0.0211762	−	0.0581811i	−0.928654	−	0.370947i	$-0.879033\pi$
$337$	0.388743	−	1.06806i	0.0211762	−	0.0581811i	0.949830	+	0.312766i	$0.101255\pi$
$338$	1.03475	−	5.86836i	0.0562830	−	0.319197i
$339$	20.6991	−	2.35772i	1.12422	−	0.128054i
$340$	−8.46576	+	7.10361i	−0.459120	+	0.385247i
$341$	44.2208			2.39469
$342$	7.15390	−	10.9463i	0.386839	−	0.591909i
$343$	19.9346			1.07637
$344$	−6.32155	+	5.30441i	−0.340835	+	0.285994i
$345$	−14.4972	−	19.5931i	−0.780504	−	1.05486i
$346$	0.918502	−	5.20908i	0.0493790	−	0.280042i
$347$	1.64968	−	4.53246i	0.0885595	−	0.243315i	−0.887504	−	0.460799i	$-0.847563\pi$
$347$	1.64968	−	4.53246i	0.0885595	−	0.243315i	0.976064	+	0.217484i	$0.0697850\pi$
$348$	7.07927	−	7.45953i	0.379489	−	0.399873i
$349$	−2.76142	−	4.78291i	−0.147815	−	0.256023i	0.782605	−	0.622519i	$-0.213891\pi$
$349$	−2.76142	−	4.78291i	−0.147815	−	0.256023i	−0.930420	+	0.366496i	$0.880557\pi$
$350$	1.52128	+	2.63494i	0.0813161	+	0.140844i
$351$	−8.76928	−	10.6400i	−0.468070	−	0.567921i
$352$	−1.49027	−	4.09449i	−0.0794318	−	0.218237i
$353$		−	24.1309i		−	1.28436i	−0.766556	−	0.642178i	$-0.778031\pi$
$353$		−	24.1309i		−	1.28436i	0.766556	−	0.642178i	$-0.221969\pi$
$354$	−17.2126	+	8.58123i	−0.914840	+	0.456087i
$355$	6.26072	+	17.2012i	0.332284	+	0.912944i
$356$	7.59861	+	2.76567i	0.402725	+	0.146580i
$357$	4.73606	−	19.7244i	0.250659	−	1.04393i
$358$	−4.61144	−	1.67843i	−0.243722	−	0.0887076i
$359$	−7.89158	+	21.6819i	−0.416501	+	1.14433i	0.537169	+	0.843475i	$0.319494\pi$
$359$	−7.89158	+	21.6819i	−0.416501	+	1.14433i	−0.953670	+	0.300854i	$0.902728\pi$
$360$	−4.45356	−	3.35643i	−0.234723	−	0.176899i
$361$	−11.6123	−	15.0385i	−0.611171	−	0.791498i
$362$	2.87245	+	1.65841i	0.150973	+	0.0871641i
$363$	5.51578	−	12.6843i	0.289503	−	0.665755i
$364$	−3.36007	−	4.00438i	−0.176116	−	0.209887i
$365$	17.1751	+	3.02843i	0.898985	+	0.158515i
$366$	−0.302509	−	0.408844i	−0.0158124	−	0.0213706i
$367$	11.7737	+	9.87934i	0.614584	+	0.515698i	0.896096	−	0.443860i	$-0.146391\pi$
$367$	11.7737	+	9.87934i	0.614584	+	0.515698i	−0.281512	+	0.959558i	$0.590836\pi$
$368$	−6.55584	−	3.78501i	−0.341747	−	0.197307i
$369$	−2.04108	−	0.250741i	−0.106254	−	0.0130530i
$370$	−13.1521	+	4.78697i	−0.683744	+	0.248863i
$371$	0.603227	−	3.42107i	0.0313180	−	0.177613i
$372$	9.70250	−	14.6579i	0.503051	−	0.759976i
$373$		−	27.2040i		−	1.40857i	−0.709918	−	0.704285i	$-0.751268\pi$
$373$		−	27.2040i		−	1.40857i	0.709918	−	0.704285i	$-0.248732\pi$
$374$	−24.3419	+	8.85972i	−1.25869	+	0.458125i
$375$	−2.38470	−	20.9360i	−0.123145	−	1.08113i
$376$	−0.484604	−	1.33144i	−0.0249915	−	0.0686637i
$377$	−15.5158	+	2.73585i	−0.799103	+	0.140903i
$378$	10.2359	+	0.0902766i	0.526478	+	0.00464333i
$379$		−	17.6607i		−	0.907169i	−0.891213	−	0.453585i	$-0.850145\pi$
$379$		−	17.6607i		−	0.907169i	0.891213	−	0.453585i	$-0.149855\pi$
$380$	−6.73036	+	4.51190i	−0.345260	+	0.231456i
$381$	−10.4807	+	15.8335i	−0.536941	+	0.811175i
$382$	4.68382	−	0.825883i	0.239645	−	0.0422559i
$383$	10.8387	−	9.09472i	0.553830	−	0.464718i	−0.322406	−	0.946602i	$-0.604492\pi$
$383$	10.8387	−	9.09472i	0.553830	−	0.464718i	0.876235	+	0.481883i	$0.160047\pi$
$384$	−1.68418	−	0.404391i	−0.0859455	−	0.0206365i
$385$	−2.77078	−	15.7139i	−0.141212	−	0.800854i
$386$	9.17404	+	1.61763i	0.466947	+	0.0823353i
$387$	−14.9001	+	19.7706i	−0.757415	+	1.00499i
$388$	3.22743	−	1.86336i	0.163848	−	0.0945976i
$389$	25.3571	+	4.47114i	1.28566	+	0.226696i	0.774380	−	0.632721i	$-0.218062\pi$
$389$	25.3571	+	4.47114i	1.28566	+	0.226696i	0.511276	+	0.859417i	$0.329173\pi$
$390$	2.42625	+	8.19180i	0.122858	+	0.414808i
$391$	−22.5020	+	38.9747i	−1.13798	+	1.97103i
$392$	−3.11920			−0.157543
$393$	−5.42104	+	22.5772i	−0.273455	+	1.13887i
$394$	18.7452	−	3.30529i	0.944372	−	0.166518i
$395$	3.33726	+	2.80029i	0.167916	+	0.140898i
$396$	−7.11873	−	10.9634i	−0.357730	−	0.550930i
$397$	−3.89727	−	1.41849i	−0.195598	−	0.0711920i	0.242364	−	0.970185i	$-0.422077\pi$
$397$	−3.89727	−	1.41849i	−0.195598	−	0.0711920i	−0.437962	+	0.898994i	$0.644300\pi$
$398$	−8.26124	+	14.3089i	−0.414098	+	0.717240i
$399$	5.00497	−	14.0056i	0.250562	−	0.701156i
$400$	−0.772235	−	1.33755i	−0.0386118	−	0.0668775i
$401$	−0.642013	−	3.64104i	−0.0320606	−	0.181825i	0.964572	−	0.263819i	$-0.0849822\pi$
$401$	−0.642013	−	3.64104i	−0.0320606	−	0.181825i	−0.996633	+	0.0819943i	$0.973871\pi$
$402$	15.6886	+	6.82219i	0.782478	+	0.340260i
$403$	−25.3058	+	9.21054i	−1.26057	+	0.458810i
$404$	11.5476	+	13.7619i	0.574513	+	0.684678i
$405$	−15.2829	−	6.80665i	−0.759414	−	0.338225i
$406$	5.84834	−	10.1296i	0.290248	−	0.502725i
$407$	−32.8069			−1.62618
$408$	−2.40412	+	10.0125i	−0.119022	+	0.495694i
$409$	−12.7663	+	15.2143i	−0.631252	+	0.752297i	−0.982961	−	0.183812i	$-0.941156\pi$
$409$	−12.7663	+	15.2143i	−0.631252	+	0.752297i	0.351709	+	0.936109i	$0.385601\pi$
$410$	1.10352	+	0.637115i	0.0544988	+	0.0314649i
$411$	23.7046	+	1.45057i	1.16926	+	0.0715514i
$412$	8.80143	−	10.4891i	0.433615	−	0.516763i
$413$	−16.7573	+	14.0610i	−0.824571	+	0.691897i
$414$	−21.7173	−	6.64113i	−1.06735	−	0.326394i
$415$	0.760666	+	4.31395i	0.0373396	+	0.211764i
$416$	1.70564	+	2.03271i	0.0836260	+	0.0996616i
$417$	0.384014	−	6.27538i	0.0188052	−	0.307307i
$418$	−18.4417	+	4.54238i	−0.902012	+	0.222175i
$419$	20.1866	−	11.6548i	0.986182	−	0.569372i	0.0820512	−	0.996628i	$-0.473853\pi$
$419$	20.1866	−	11.6548i	0.986182	−	0.569372i	0.904131	+	0.427256i	$0.140520\pi$
$420$	−5.81662	−	2.52935i	−0.283822	−	0.123420i
$421$	11.8181	−	32.4701i	0.575981	−	1.58249i	−0.218913	−	0.975744i	$-0.570251\pi$
$421$	11.8181	−	32.4701i	0.575981	−	1.58249i	0.794893	−	0.606749i	$-0.207527\pi$
$422$	−17.9794	+	21.4270i	−0.875224	+	1.04305i
$423$	−2.31485	−	3.56505i	−0.112552	−	0.173338i
$424$	−0.306210	+	1.73661i	−0.0148709	+	0.0843370i
$425$	−7.95179	+	4.59097i	−0.385718	+	0.222695i
$426$	14.2224	+	9.41424i	0.689078	+	0.456122i
$427$	−0.443122	−	0.371823i	−0.0214442	−	0.0179938i
$428$	4.05386	+	3.40159i	0.195950	+	0.164422i
$429$	−1.22318	+	19.9886i	−0.0590556	+	0.965061i
$430$	13.2849	−	7.67002i	0.640653	−	0.369881i
$431$	3.24894	−	18.4257i	0.156496	−	0.887533i	−0.800909	−	0.598786i	$-0.795650\pi$
$431$	3.24894	−	18.4257i	0.156496	−	0.887533i	0.957405	−	0.288747i	$-0.0932388\pi$
$432$	−5.19595	−	0.0458262i	−0.249990	−	0.00220482i
$433$	11.4349	−	13.6275i	0.549524	−	0.654897i	−0.417771	−	0.908553i	$-0.637188\pi$
$433$	11.4349	−	13.6275i	0.549524	−	0.654897i	0.967295	+	0.253655i	$0.0816329\pi$
$434$	6.83795	−	18.7871i	0.328232	−	0.901810i
$435$	−15.3677	+	11.3707i	−0.736824	+	0.545186i
$436$	−1.36340	+	0.787159i	−0.0652950	+	0.0376981i
$437$	−19.4709	+	26.6399i	−0.931422	+	1.27436i
$438$	14.5428	−	7.25022i	0.694883	−	0.346429i
$439$	21.7438	+	25.9133i	1.03778	+	1.23677i	0.971018	+	0.239005i	$0.0768213\pi$
$439$	21.7438	+	25.9133i	1.03778	+	1.23677i	0.0667585	+	0.997769i	$0.478734\pi$
$440$	1.40651	+	7.97669i	0.0670525	+	0.380274i
$441$	−9.11788	+	2.10443i	−0.434185	+	0.100211i
$442$	12.0845	−	10.1401i	0.574801	−	0.482316i
$443$	−22.3783	+	26.6694i	−1.06323	+	1.26710i	−0.100989	+	0.994888i	$0.532201\pi$
$443$	−22.3783	+	26.6694i	−1.06323	+	1.26710i	−0.962236	+	0.272215i	$0.912244\pi$
$444$	−7.19817	+	10.8745i	−0.341610	+	0.516082i
$445$	−13.0178	−	7.51581i	−0.617101	−	0.356283i
$446$	7.54388	−	8.99044i	0.357213	−	0.425710i
$447$	−2.34275	+	0.693874i	−0.110808	+	0.0328191i
$448$	−1.96998			−0.0930726
$449$	9.31876	−	16.1406i	0.439780	−	0.761721i	−0.557893	−	0.829913i	$-0.688390\pi$
$449$	9.31876	−	16.1406i	0.439780	−	0.761721i	0.997672	+	0.0681926i	$0.0217232\pi$
$450$	−3.15977	−	3.38886i	−0.148953	−	0.159752i
$451$	1.91987	+	2.28801i	0.0904032	+	0.107738i
$452$	−11.3025	+	4.11378i	−0.531626	+	0.193496i
$453$	6.40197	−	4.73690i	0.300791	−	0.222559i
$454$	−0.188633	−	1.06979i	−0.00885299	−	0.0502078i
$455$	4.85857	+	8.41530i	0.227773	+	0.394515i
$456$	−2.54063	+	7.10952i	−0.118976	+	0.332934i
$457$	3.47023	−	6.01061i	0.162330	−	0.281165i	−0.773374	−	0.633950i	$-0.781432\pi$
$457$	3.47023	−	6.01061i	0.162330	−	0.281165i	0.935704	+	0.352786i	$0.114766\pi$
$458$	9.80186	+	3.56758i	0.458011	+	0.166702i
$459$	−0.272439	+	30.8901i	−0.0127163	+	1.44183i
$460$	10.7797	+	9.04528i	0.502608	+	0.421739i
$461$	−34.3765	+	6.06151i	−1.60108	+	0.282313i	−0.901674	−	0.432416i	$-0.857661\pi$
$461$	−34.3765	+	6.06151i	−1.60108	+	0.282313i	−0.699401	+	0.714729i	$0.746550\pi$
$462$	−10.7841	−	10.2344i	−0.501723	−	0.476147i
$463$	5.75050			0.267248			0.133624	−	0.991032i	$-0.457339\pi$
$463$	5.75050			0.267248			0.133624	+	0.991032i	$0.457339\pi$
$464$	−2.96874	+	5.14200i	−0.137820	+	0.238711i
$465$	−22.4935	+	23.7018i	−1.04311	+	1.09914i
$466$	−12.6186	−	2.22501i	−0.584548	−	0.103072i
$467$	0.355890	−	0.205473i	0.0164686	−	0.00950817i	−0.491743	−	0.870740i	$-0.663640\pi$
$467$	0.355890	−	0.205473i	0.0164686	−	0.00950817i	0.508212	+	0.861232i	$0.330307\pi$
$468$	6.35726	+	4.79116i	0.293865	+	0.221471i
$469$	19.1622	+	3.37881i	0.884827	+	0.156019i
$470$	0.457365	+	2.59384i	0.0210967	+	0.119645i
$471$	5.02513	−	5.29505i	0.231546	−	0.243983i
$472$	8.50633	−	7.13766i	0.391536	−	0.328537i
$473$	35.4107	−	6.24386i	1.62819	−	0.287093i
$474$	4.05161	+	0.247933i	0.186097	+	0.0113879i
$475$	−6.15792	+	2.72073i	−0.282545	+	0.124836i
$476$			11.7116i			0.536799i
$477$	0.276540	+	5.28295i	0.0126619	+	0.241890i
$478$	−16.2496	+	2.86525i	−0.743240	+	0.131053i
$479$	9.19921	+	25.2746i	0.420323	+	1.15483i	0.951522	+	0.307580i	$0.0995192\pi$
$479$	9.19921	+	25.2746i	0.420323	+	1.15483i	−0.531200	+	0.847247i	$0.678259\pi$
$480$	2.95264	+	1.28395i	0.134769	+	0.0586041i
$481$	18.7740	−	6.83319i	0.856023	−	0.311567i
$482$			11.2824i			0.513901i
$483$	−25.7814	−	1.57766i	−1.17310	−	0.0717861i
$484$	−1.38671	+	7.86442i	−0.0630323	+	0.357474i
$485$	−6.50983	+	2.36938i	−0.295596	+	0.107588i
$486$	−15.2195	+	3.37161i	−0.690369	+	0.152939i
$487$	12.4565	+	7.19179i	0.564460	+	0.325891i	0.754934	−	0.655801i	$-0.227669\pi$
$487$	12.4565	+	7.19179i	0.564460	+	0.325891i	−0.190474	+	0.981692i	$0.561002\pi$
$488$	0.224938	+	0.188745i	0.0101824	+	0.00854409i
$489$	−32.2402	+	3.67230i	−1.45795	+	0.166067i
$490$	5.71020	+	1.00686i	0.257961	+	0.0454854i
$491$	−9.37936	−	11.1779i	−0.423285	−	0.504451i	0.511688	−	0.859171i	$-0.329020\pi$
$491$	−9.37936	−	11.1779i	−0.423285	−	0.504451i	−0.934972	+	0.354721i	$0.884576\pi$
$492$	1.17965	−	0.134367i	0.0531826	−	0.00605773i
$493$	30.5694	+	17.6492i	1.37678	+	0.794882i
$494$	9.60731	−	6.44055i	0.432253	−	0.289774i
$495$	9.49308	+	22.3681i	0.426682	+	1.00537i
$496$	−3.47108	+	9.53672i	−0.155856	+	0.428211i
$497$	18.2290	+	6.63480i	0.817680	+	0.297611i
$498$	2.96058	+	2.80966i	0.132667	+	0.125904i
$499$	−22.6516	−	8.24449i	−1.01402	−	0.369074i	−0.219046	−	0.975714i	$-0.570295\pi$
$499$	−22.6516	−	8.24449i	−1.01402	−	0.369074i	−0.794976	+	0.606640i	$0.792517\pi$
$500$	4.16086	+	11.4319i	0.186079	+	0.511249i
$501$	−9.08770	−	6.01542i	−0.406009	−	0.268749i
$502$			4.80788i			0.214586i
$503$	−9.01591	−	24.7710i	−0.402000	−	1.10448i	−0.961296	−	0.275517i	$-0.911151\pi$
$503$	−9.01591	−	24.7710i	−0.402000	−	1.10448i	0.559297	−	0.828968i	$-0.311071\pi$
$504$	−5.75854	+	1.32909i	−0.256506	+	0.0592023i
$505$	−16.6975	−	28.9209i	−0.743027	−	1.28696i
$506$	16.4923	+	28.5655i	0.733172	+	1.26989i
$507$	2.93105	+	9.89617i	0.130172	+	0.439504i
$508$	3.74948	−	10.3016i	0.166356	−	0.457059i
$509$	1.16143	−	6.58679i	0.0514795	−	0.291954i	−0.948189	−	0.317707i	$-0.897087\pi$
$509$	1.16143	−	6.58679i	0.0514795	−	0.291954i	0.999668	+	0.0257526i	$0.00819823\pi$
$510$	7.63314	−	17.5535i	0.338001	−	0.777283i
$511$	14.1581	−	11.8801i	0.626317	−	0.525543i
$512$	1.00000			0.0441942
$513$	−2.63004	+	22.4963i	−0.116119	+	0.993235i
$514$	−24.9131			−1.09887
$515$	−19.4983	+	16.3610i	−0.859198	+	0.720953i
$516$	5.69981	−	13.1076i	0.250920	−	0.577028i
$517$	−1.07206	+	6.07995i	−0.0471491	+	0.267396i
$518$	−5.07299	+	13.9379i	−0.222894	+	0.612398i
$519$	2.60176	+	8.78439i	0.114205	+	0.385592i
$520$	−2.46631	−	4.27178i	−0.108155	−	0.187330i
$521$	−2.63751	−	4.56830i	−0.115551	−	0.200141i	0.802449	−	0.596721i	$-0.203530\pi$
$521$	−2.63751	−	4.56830i	−0.115551	−	0.200141i	−0.918000	+	0.396580i	$0.870197\pi$
$522$	−5.20890	+	17.0338i	−0.227987	+	0.745548i
$523$	−9.54822	−	26.2335i	−0.417515	−	1.14711i	−0.953106	−	0.302635i	$-0.902134\pi$
$523$	−9.54822	−	26.2335i	−0.417515	−	1.14711i	0.535592	−	0.844477i	$-0.320089\pi$
$524$		−	13.4054i		−	0.585619i
$525$	−4.39439	−	2.90878i	−0.191787	−	0.126950i
$526$	−6.07255	−	16.6842i	−0.264776	−	0.727466i
$527$	56.6961	+	20.6357i	2.46972	+	0.898905i
$528$	5.47424	+	5.19518i	0.238236	+	0.226091i
$529$	32.2364	+	11.7331i	1.40158	+	0.510135i
$530$	1.12114	−	3.08030i	0.0486991	−	0.133800i
$531$	20.0497	−	26.6034i	0.870083	−	1.15449i
$532$	−0.921851	+	8.53730i	−0.0399673	+	0.370139i
$533$	−1.57522	−	0.909455i	−0.0682305	−	0.0393929i
$534$	−13.9158	+	1.58507i	−0.602198	+	0.0685929i
$535$	−6.32323	−	7.53573i	−0.273377	−	0.325798i
$536$	−9.72711	−	1.71515i	−0.420147	−	0.0740833i
$537$	8.44524	−	0.961950i	0.364439	−	0.0415112i
$538$	−2.54712	−	2.13729i	−0.109814	−	0.0921450i
$539$	11.7703	+	6.79558i	0.506982	+	0.292706i
$540$	9.49725	+	1.76112i	0.408697	+	0.0757866i
$541$	16.3811	−	5.96224i	0.704279	−	0.256337i	0.0350423	−	0.999386i	$-0.488843\pi$
$541$	16.3811	−	5.96224i	0.704279	−	0.256337i	0.669237	+	0.743049i	$0.266621\pi$
$542$	−1.87175	+	10.6152i	−0.0803984	+	0.455962i
$543$	−5.73417	−	0.350895i	−0.246077	−	0.0150583i
$544$		−	5.94504i		−	0.254891i
$545$	2.75002	−	1.00092i	0.117798	−	0.0428749i
$546$	8.30298	+	3.61054i	0.355335	+	0.154517i
$547$	−3.28436	−	9.02370i	−0.140429	−	0.385825i	0.849463	−	0.527648i	$-0.176926\pi$
$547$	−3.28436	−	9.02370i	−0.140429	−	0.385825i	−0.989892	+	0.141823i	$0.954704\pi$
$548$	−13.5031	+	2.38097i	−0.576826	+	0.101710i
$549$	0.784868	+	0.399971i	0.0334973	+	0.0170704i
$550$			6.72966i			0.286954i
$551$	20.8947	+	15.2718i	0.890145	+	0.650602i
$552$	13.0872	+	0.800853i	0.557028	+	0.0340866i
$553$	4.54665	−	0.801696i	0.193343	−	0.0340916i
$554$	9.69256	−	8.13302i	0.411797	−	0.345539i
$555$	16.6877	−	17.5841i	0.708352	−	0.746401i
$556$	0.630321	+	3.57473i	0.0267315	+	0.151602i
$557$	1.28844	+	0.227187i	0.0545930	+	0.00962622i	0.200878	−	0.979616i	$-0.435621\pi$
$557$	1.28844	+	0.227187i	0.0545930	+	0.00962622i	−0.146285	+	0.989242i	$0.546732\pi$
$558$	−3.71234	+	30.2191i	−0.157156	+	1.27928i
$559$	−18.9636	+	10.9486i	−0.802074	+	0.463078i
$560$	3.60636	+	0.635899i	0.152397	+	0.0268717i
$561$	30.8855	−	32.5446i	1.30399	−	1.37403i
$562$	−11.2804	+	19.5381i	−0.475833	+	0.824167i
$563$	−16.9623			−0.714877			−0.357438	−	0.933937i	$-0.616350\pi$
$563$	−16.9623			−0.714877			−0.357438	+	0.933937i	$0.616350\pi$
$564$	1.78010	+	1.68936i	0.0749559	+	0.0711349i
$565$	22.0190	−	3.88255i	0.926348	−	0.163340i
$566$	−22.9421	−	19.2507i	−0.964327	−	0.809166i
$567$	−15.9364	+	7.77025i	−0.669265	+	0.326320i
$568$	−9.25339	−	3.36796i	−0.388264	−	0.141316i
$569$	−1.23186	+	2.13364i	−0.0516421	+	0.0894468i	−0.890691	−	0.454609i	$-0.849779\pi$
$569$	−1.23186	+	2.13364i	−0.0516421	+	0.0894468i	0.839049	+	0.544056i	$0.183112\pi$
$570$	6.94596	−	12.1950i	0.290934	−	0.510794i
$571$	22.1536	+	38.3712i	0.927100	+	1.60578i	0.788149	+	0.615485i	$0.211040\pi$
$571$	22.1536	+	38.3712i	0.927100	+	1.60578i	0.138951	+	0.990299i	$0.455627\pi$
$572$	−2.00773	−	11.3864i	−0.0839473	−	0.476089i
$573$	−6.62213	+	4.89980i	−0.276643	+	0.204692i
$574$	1.26893	−	0.461853i	0.0529641	−	0.0192774i
$575$	7.51527	+	8.95635i	0.313408	+	0.373506i
$576$	2.92315	−	0.674672i	0.121798	−	0.0281114i
$577$	−6.16243	+	10.6736i	−0.256545	+	0.444350i	−0.965314	−	0.261091i	$-0.915918\pi$
$577$	−6.16243	+	10.6736i	−0.256545	+	0.444350i	0.708769	+	0.705441i	$0.249251\pi$
$578$	−18.3435			−0.762987
$579$	−15.4707	+	4.58212i	−0.642942	+	0.190426i
$580$	7.09458	−	8.45499i	0.294586	−	0.351074i
$581$	4.02030	+	2.32112i	0.166790	+	0.0962963i
$582$	−3.56284	+	5.38251i	−0.147685	+	0.223112i
$583$	4.93891	−	5.88596i	0.204549	−	0.243772i
$584$	−7.18694	+	6.03056i	−0.297398	+	0.249546i
$585$	−10.0915	−	10.8231i	−0.417230	−	0.447480i
$586$	−1.83660	−	10.4159i	−0.0758692	−	0.430275i
$587$	29.2713	+	34.8841i	1.20815	+	1.43982i	0.865902	+	0.500215i	$0.166746\pi$
$587$	29.2713	+	34.8841i	1.20815	+	1.43982i	0.342253	+	0.939608i	$0.388810\pi$
$588$	4.83505	−	2.41048i	0.199394	−	0.0994066i
$589$	39.7050	+	19.5054i	1.63602	+	0.803704i
$590$	−17.8762	+	10.3209i	−0.735953	+	0.424903i
$591$	−26.5026	+	19.6096i	−1.09017	+	0.806633i
$592$	2.57515	−	7.07518i	0.105838	−	0.290788i
$593$	−10.5174	+	12.5342i	−0.431898	+	0.514716i	−0.937469	−	0.348069i	$-0.886838\pi$
$593$	−10.5174	+	12.5342i	−0.431898	+	0.514716i	0.505571	+	0.862785i	$0.331282\pi$
$594$	19.5071	+	11.4930i	0.800385	+	0.471563i
$595$	3.78044	−	21.4400i	0.154983	−	0.878953i
$596$	1.22167	−	0.705332i	0.0500416	−	0.0288915i
$597$	1.74796	−	28.5643i	0.0715391	−	1.16906i
$598$	−15.3876	−	12.9118i	−0.629247	−	0.528001i
$599$	−17.6469	−	14.8075i	−0.721032	−	0.605018i	0.206639	−	0.978417i	$-0.433748\pi$
$599$	−17.6469	−	14.8075i	−0.721032	−	0.605018i	−0.927671	+	0.373400i	$0.878192\pi$
$600$	2.23068	+	1.47656i	0.0910673	+	0.0602802i
$601$	16.5560	−	9.55860i	0.675333	−	0.389903i	−0.122762	−	0.992436i	$-0.539175\pi$
$601$	16.5560	−	9.55860i	0.675333	−	0.389903i	0.798094	+	0.602533i	$0.205842\pi$
$602$	2.82293	−	16.0096i	0.115054	−	0.652504i
$603$	−29.5910	+	1.54896i	−1.20504	+	0.0630787i
$604$	−2.95551	+	3.52223i	−0.120258	+	0.143318i
$605$	5.07720	−	13.9495i	0.206418	−	0.567128i
$606$	−28.5349	−	12.4084i	−1.15915	−	0.504055i
$607$	3.24458	−	1.87326i	0.131694	−	0.0760333i	−0.432706	−	0.901535i	$-0.642441\pi$
$607$	3.24458	−	1.87326i	0.131694	−	0.0760333i	0.564399	+	0.825502i	$0.309108\pi$
$608$	0.467950	−	4.33371i	0.0189779	−	0.175755i
$609$	−1.23742	+	20.2214i	−0.0501429	+	0.819413i
$610$	−0.350859	−	0.418138i	−0.0142059	−	0.0169299i
$611$	−0.652869	−	3.70260i	−0.0264122	−	0.149791i
$612$	−4.01095	−	17.3782i	−0.162133	−	0.702474i
$613$	−15.5443	+	13.0432i	−0.627828	+	0.526810i	−0.900253	−	0.435367i	$-0.856619\pi$
$613$	−15.5443	+	13.0432i	−0.627828	+	0.526810i	0.272425	+	0.962177i	$0.412174\pi$
$614$	5.57312	−	6.64179i	0.224913	−	0.268041i
$615$	−2.20291	−	0.134804i	−0.0888300	−	0.00543583i
$616$	7.43371	+	4.29185i	0.299513	+	0.172924i
$617$	−10.9242	+	13.0189i	−0.439790	+	0.524122i	−0.939720	−	0.341944i	$-0.888915\pi$
$617$	−10.9242	+	13.0189i	−0.439790	+	0.524122i	0.499930	+	0.866066i	$0.333359\pi$
$618$	−5.53717	+	23.0608i	−0.222738	+	0.927642i
$619$	24.4726			0.983637			0.491818	−	0.870698i	$-0.336332\pi$
$619$	24.4726			0.983637			0.491818	+	0.870698i	$0.336332\pi$
$620$	9.43279	−	16.3381i	0.378830	−	0.656153i
$621$	38.7962	−	6.48855i	1.55684	−	0.260377i
$622$	−9.32207	−	11.1096i	−0.373781	−	0.445455i
$623$	−14.9691	+	5.44830i	−0.599723	+	0.218281i
$624$	−4.21476	−	1.83279i	−0.168726	−	0.0733702i
$625$	−2.58601	−	14.6660i	−0.103441	−	0.586640i
$626$	−5.85041	−	10.1332i	−0.233829	−	0.405004i
$627$	25.0761	−	21.2927i	1.00144	−	0.850347i
$628$	−2.10732	+	3.64998i	−0.0840912	+	0.145650i
$629$	−42.0622	−	15.3094i	−1.67713	−	0.610425i
$630$	10.9710	−	0.574284i	0.437094	−	0.0228800i
$631$	11.0019	+	9.23169i	0.437979	+	0.367508i	0.834952	−	0.550322i	$-0.185495\pi$
$631$	11.0019	+	9.23169i	0.437979	+	0.367508i	−0.396974	+	0.917830i	$0.629940\pi$
$632$	−2.30797	+	0.406957i	−0.0918061	+	0.0161879i
$633$	11.3112	−	47.1083i	0.449581	−	1.87239i
$634$	−24.5157			−0.973642
$635$	−10.1893	+	17.6485i	−0.404352	+	0.700358i
$636$	−0.867375	−	2.92854i	−0.0343936	−	0.116124i
$637$	−8.15107	−	1.43725i	−0.322957	−	0.0569460i
$638$	22.4051	−	12.9356i	0.887025	−	0.512124i
$639$	−29.3213	−	3.60205i	−1.15993	−	0.142495i
$640$	−1.83066	−	0.322796i	−0.0723634	−	0.0127596i
$641$	3.01724	+	17.1116i	0.119174	+	0.675869i	0.984599	+	0.174830i	$0.0559376\pi$
$641$	3.01724	+	17.1116i	0.119174	+	0.675869i	−0.865425	+	0.501039i	$0.832951\pi$
$642$	−8.91257	−	2.14001i	−0.351751	−	0.0844595i
$643$	13.1407	−	11.0263i	0.518217	−	0.434835i	−0.345793	−	0.938311i	$-0.612390\pi$
$643$	13.1407	−	11.0263i	0.518217	−	0.434835i	0.864010	+	0.503475i	$0.167946\pi$
$644$	14.6862	−	2.58958i	0.578718	−	0.102044i
$645$	−14.6655	+	22.1557i	−0.577454	+	0.872379i
$646$	−25.7640	−	2.78198i	−1.01367	−	0.109456i
$647$			19.0450i			0.748738i	0.927280	+	0.374369i	$0.122141\pi$
$647$			19.0450i			0.748738i	−0.927280	+	0.374369i	$0.877859\pi$
$648$	8.08963	−	3.94434i	0.317791	−	0.154948i
$649$	−47.6490	+	8.40180i	−1.87039	+	0.329799i
$650$	−1.40169	−	3.85111i	−0.0549788	−	0.151053i
$651$	3.91900	+	34.4061i	0.153598	+	1.34848i
$652$	17.6044	−	6.40749i	0.689443	−	0.250937i
$653$		−	15.7426i		−	0.616057i	−0.951377	−	0.308028i	$-0.900331\pi$
$653$		−	15.7426i		−	0.616057i	0.951377	−	0.308028i	$-0.0996691\pi$
$654$	1.50509	−	2.27379i	0.0588537	−	0.0889123i
$655$	−4.32721	+	24.5409i	−0.169078	+	0.958890i
$656$	−0.644135	+	0.234446i	−0.0251492	+	0.00915357i
$657$	−16.9399	+	22.4771i	−0.660887	+	0.876914i
$658$	2.41728	+	1.39562i	0.0942353	+	0.0544068i
$659$	22.1052	+	18.5485i	0.861096	+	0.722546i	0.962204	−	0.272330i	$-0.0877942\pi$
$659$	22.1052	+	18.5485i	0.861096	+	0.722546i	−0.101108	+	0.994875i	$0.532239\pi$
$660$	−8.34452	−	11.2777i	−0.324810	−	0.438984i
$661$	22.8175	+	4.02335i	0.887499	+	0.156490i	0.598770	−	0.800921i	$-0.295656\pi$
$661$	22.8175	+	4.02335i	0.887499	+	0.156490i	0.288729	+	0.957411i	$0.406767\pi$
$662$	18.6385	+	22.2124i	0.724404	+	0.863311i
$663$	−10.8960	+	25.0569i	−0.423165	+	0.973130i
$664$	−2.04079	−	1.17825i	−0.0791978	−	0.0457249i
$665$	4.44340	−	15.3314i	0.172308	−	0.594525i
$666$	2.75414	−	22.4192i	0.106721	−	0.868727i
$667$	15.3727	−	42.2362i	0.595234	−	1.63539i
$668$	5.91264	+	2.15203i	0.228767	+	0.0832644i
$669$	−4.74601	+	19.7659i	−0.183491	+	0.764193i
$670$	17.2534	+	6.27974i	0.666558	+	0.242607i
$671$	−0.437596	−	1.20229i	−0.0168932	−	0.0464137i
$672$	3.05365	−	1.52238i	0.117797	−	0.0587269i
$673$		−	19.3911i		−	0.747474i	−0.927535	−	0.373737i	$-0.878076\pi$
$673$		−	19.3911i		−	0.747474i	0.927535	−	0.373737i	$-0.121924\pi$
$674$	−0.388743	−	1.06806i	−0.0149738	−	0.0411402i
$675$	7.51682	+	2.81122i	0.289322	+	0.108204i
$676$	−2.97945	−	5.16055i	−0.114594	−	0.198483i
$677$	−14.5485	−	25.1988i	−0.559145	−	0.968468i	−0.997568	−	0.0696990i	$-0.977796\pi$
$677$	−14.5485	−	25.1988i	−0.559145	−	0.968468i	0.438423	−	0.898769i	$-0.355537\pi$
$678$	14.3409	−	15.1112i	0.550759	−	0.580343i
$679$	−2.51095	+	6.89879i	−0.0963616	+	0.264751i
$680$	−1.91903	+	10.8834i	−0.0735915	+	0.417358i
$681$	1.11912	+	1.51250i	0.0428849	+	0.0579593i
$682$	33.8751	−	28.4246i	1.29715	−	1.08843i
$683$	−3.40378			−0.130242			−0.0651210	−	0.997877i	$-0.520743\pi$
$683$	−3.40378			−0.130242			−0.0651210	+	0.997877i	$0.520743\pi$
$684$	−1.55594	−	12.9838i	−0.0594930	−	0.496448i
$685$	25.4883			0.973858
$686$	15.2708	−	12.8137i	0.583041	−	0.489229i
$687$	−17.9508	+	2.04467i	−0.684866	+	0.0780092i
$688$	−1.43298	+	8.12682i	−0.0546318	+	0.309832i
$689$	−1.60038	+	4.39700i	−0.0609695	+	0.167512i
$690$	−23.6997	−	5.69058i	−0.902234	−	0.216637i
$691$	−6.28639	−	10.8883i	−0.239146	−	0.414212i	0.721324	−	0.692598i	$-0.243534\pi$
$691$	−6.28639	−	10.8883i	−0.239146	−	0.414212i	−0.960469	+	0.278386i	$0.910201\pi$
$692$	−2.64472	−	4.58079i	−0.100537	−	0.174136i
$693$	24.6254	+	7.53042i	0.935443	+	0.286057i
$694$	−1.64968	−	4.53246i	−0.0626210	−	0.172050i
$695$		−	6.74759i		−	0.255951i
$696$	0.628141	−	10.2648i	0.0238096	−	0.389086i
$697$	1.39379	+	3.82940i	0.0527935	+	0.145049i
$698$	−5.18976	−	1.88892i	−0.196435	−	0.0714966i
$699$	21.2796	−	6.30258i	0.804867	−	0.238386i
$700$	2.85908	+	1.04062i	0.108063	+	0.0393317i
$701$	−9.16737	+	25.1871i	−0.346247	+	0.951305i	0.637294	+	0.770620i	$0.280054\pi$
$701$	−9.16737	+	25.1871i	−0.346247	+	0.951305i	−0.983541	+	0.180685i	$0.942169\pi$
$702$	−13.5569	−	2.51393i	−0.511673	−	0.0948821i
$703$	−29.4567	−	14.4708i	−1.11098	−	0.545777i
$704$	−3.77350	−	2.17863i	−0.142219	−	0.0821103i
$705$	−2.71345	−	3.66726i	−0.102195	−	0.138117i
$706$	−15.5110	−	18.4853i	−0.583765	−	0.695704i
$707$	−34.8526	−	6.14546i	−1.31077	−	0.231124i
$708$	−7.66972	+	17.6377i	−0.288246	+	0.662864i
$709$	−25.2335	−	21.1734i	−0.947665	−	0.795185i	0.0312377	−	0.999512i	$-0.490055\pi$
$709$	−25.2335	−	21.1734i	−0.947665	−	0.795185i	−0.978903	+	0.204327i	$0.934500\pi$
$710$	15.8527	+	9.15255i	0.594941	+	0.343489i
$711$	−6.47199	+	2.74672i	−0.242718	+	0.103010i
$712$	7.59861	−	2.76567i	0.284770	−	0.103648i
$713$	13.3408	−	75.6592i	0.499616	−	2.83346i
$714$	−9.05058	−	18.1541i	−0.338710	−	0.679399i
$715$			21.4927i			0.803783i
$716$	−4.61144	+	1.67843i	−0.172338	+	0.0627258i
$717$	22.9742	−	16.9989i	0.857989	−	0.634837i
$718$	7.89158	+	21.6819i	0.294511	+	0.809162i
$719$	−3.73995	+	0.659455i	−0.139477	+	0.0245935i	−0.242951	−	0.970039i	$-0.578115\pi$
$719$	−3.73995	+	0.659455i	−0.139477	+	0.0245935i	0.103474	+	0.994632i	$0.467004\pi$
$720$	−5.56909	+	0.291518i	−0.207548	+	0.0108643i
$721$			26.9741i			1.00457i
$722$	−18.5620	−	4.05592i	−0.690808	−	0.150946i
$723$	−8.71894	−	17.4889i	−0.324261	−	0.650417i
$724$	3.26643	−	0.575960i	0.121396	−	0.0214054i
$725$	7.02482	−	5.89452i	0.260895	−	0.218917i
$726$	−3.92801	−	13.2622i	−0.145782	−	0.492208i
$727$	−6.96504	−	39.5007i	−0.258319	−	1.46500i	−0.787407	−	0.616433i	$-0.788577\pi$
$727$	−6.96504	−	39.5007i	−0.258319	−	1.46500i	0.529088	−	0.848567i	$-0.322534\pi$
$728$	−5.14793	−	0.907720i	−0.190795	−	0.0336423i
$729$	20.9861	−	16.9878i	0.777263	−	0.629176i
$730$	15.1035	−	8.72002i	0.559006	−	0.322742i
$731$	48.3143	+	8.51911i	1.78697	+	0.315091i
$732$	−0.494535	−	0.118744i	−0.0182785	−	0.00438889i
$733$	−10.0668	+	17.4363i	−0.371828	+	0.644024i	−0.989847	−	0.142139i	$-0.954602\pi$
$733$	−10.0668	+	17.4363i	−0.371828	+	0.644024i	0.618019	+	0.786163i	$0.287935\pi$
$734$	15.3695			0.567300
$735$	−9.62945	+	2.85205i	−0.355188	+	0.105199i
$736$	−7.45502	+	1.31452i	−0.274796	+	0.0484539i
$737$	32.9686	+	27.6639i	1.21441	+	1.01901i
$738$	−1.72473	+	1.11990i	−0.0634882	+	0.0412241i
$739$	−21.8366	−	7.94787i	−0.803272	−	0.292367i	−0.0924306	−	0.995719i	$-0.529464\pi$
$739$	−21.8366	−	7.94787i	−0.803272	−	0.292367i	−0.710842	+	0.703352i	$0.751686\pi$
$740$	−6.99808	+	12.1210i	−0.257255	+	0.445578i
$741$	−9.91506	+	17.4079i	−0.364239	+	0.639495i
$742$	−1.73692	−	3.00844i	−0.0637645	−	0.110443i
$743$	−1.12056	−	6.35503i	−0.0411095	−	0.233143i	0.957329	−	0.288999i	$-0.0933224\pi$
$743$	−1.12056	−	6.35503i	−0.0411095	−	0.233143i	−0.998439	+	0.0558557i	$0.982211\pi$
$744$	−1.98937	−	17.4652i	−0.0729337	−	0.640307i
$745$	−2.46415	+	0.896876i	−0.0902794	+	0.0328590i
$746$	−17.4864	−	20.8395i	−0.640222	−	0.762987i
$747$	−6.76046	−	2.06734i	−0.247352	−	0.0756399i
$748$	−12.9520	+	22.4336i	−0.473574	+	0.820254i
$749$	−10.4250			−0.380920
$750$	−15.2842	−	14.5050i	−0.558099	−	0.529649i
$751$	−33.9204	+	40.4247i	−1.23777	+	1.47512i	−0.411930	+	0.911215i	$0.635145\pi$
$751$	−33.9204	+	40.4247i	−1.23777	+	1.47512i	−0.825841	+	0.563903i	$0.809299\pi$
$752$	−1.22706	−	0.708443i	−0.0447463	−	0.0258343i
$753$	−3.71548	−	7.45267i	−0.135400	−	0.271591i
$754$	−10.1272	+	12.0691i	−0.368811	+	0.439532i
$755$	6.54750	−	5.49401i	0.238288	−	0.199947i
$756$	7.89918	−	6.51035i	0.287290	−	0.236779i
$757$	5.77832	+	32.7705i	0.210017	+	1.19106i	0.889348	+	0.457232i	$0.151159\pi$
$757$	5.77832	+	32.7705i	0.210017	+	1.19106i	−0.679331	+	0.733832i	$0.737730\pi$
$758$	−11.3521	−	13.5289i	−0.412326	−	0.491391i
$759$	−47.6398	−	31.5342i	−1.72921	−	1.14462i
$760$	−2.25556	+	7.78251i	−0.0818178	+	0.282301i
$761$	35.4063	−	20.4418i	1.28348	−	0.741016i	0.305996	−	0.952033i	$-0.401011\pi$
$761$	35.4063	−	20.4418i	1.28348	−	0.741016i	0.977482	+	0.211017i	$0.0676774\pi$
$762$	2.14892	+	18.8660i	0.0778472	+	0.683444i
$763$	1.06073	−	2.91433i	0.0384010	−	0.105506i
$764$	3.05714	−	3.64336i	0.110604	−	0.131812i
$765$	1.73309	+	33.1084i	0.0626599	+	1.19704i
$766$	2.45692	−	13.9339i	0.0887723	−	0.503453i
$767$	25.5176	−	14.7326i	0.921386	−	0.531963i
$768$	−1.55010	+	0.772789i	−0.0559343	+	0.0278856i
$769$	−31.9551	−	26.8135i	−1.15233	−	0.966921i	−0.152560	−	0.988294i	$-0.548752\pi$
$769$	−31.9551	−	26.8135i	−1.15233	−	0.966921i	−0.999772	+	0.0213733i	$0.993196\pi$
$770$	−12.2232	−	10.2565i	−0.440495	−	0.369619i
$771$	38.6177	−	19.2526i	1.39078	−	0.693365i
$772$	8.06752	−	4.65778i	0.290356	−	0.167637i
$773$	−2.07630	+	11.7753i	−0.0746792	+	0.423527i	0.924431	+	0.381349i	$0.124541\pi$
$773$	−2.07630	+	11.7753i	−0.0746792	+	0.423527i	−0.999110	+	0.0421772i	$0.986571\pi$
$774$	1.29413	+	24.7227i	0.0465166	+	0.888640i
$775$	10.0754	−	12.0073i	0.361917	−	0.431316i
$776$	1.27461	−	3.50197i	0.0457559	−	0.125713i
$777$	−2.90746	−	25.5255i	−0.104305	−	0.915722i
$778$	22.2987	−	12.8741i	0.799445	−	0.461560i
$779$	0.714597	+	2.90120i	0.0256031	+	0.103946i
$780$	7.12420	+	4.71572i	0.255087	+	0.168850i
$781$	27.5801	+	32.8687i	0.986895	+	1.17614i
$782$	7.81488	+	44.3204i	0.279459	+	1.58489i
$783$	−5.08923	−	30.4294i	−0.181874	−	1.08746i
$784$	−2.38944	+	2.00498i	−0.0853372	+	0.0716064i
$785$	5.03599	−	6.00166i	0.179742	−	0.214208i
$786$	10.3596	+	20.7797i	0.369514	+	0.741188i
$787$	32.7128	+	18.8867i	1.16608	+	0.673239i	0.952755	−	0.303741i	$-0.0982358\pi$
$787$	32.7128	+	18.8867i	1.16608	+	0.673239i	0.213330	+	0.976980i	$0.431569\pi$
$788$	12.2351	−	14.5812i	0.435857	−	0.519434i
$789$	22.3064	+	21.1693i	0.794129	+	0.753647i
$790$	4.35648			0.154997
$791$	11.8473	−	20.5202i	0.421243	−	0.729614i
$792$	−12.5004	−	3.82259i	−0.444182	−	0.135830i
$793$	0.500837	+	0.596874i	0.0177852	+	0.0211956i
$794$	−3.89727	+	1.41849i	−0.138309	+	0.0503403i
$795$	0.642552	+	5.64116i	0.0227890	+	0.200071i
$796$	2.86910	+	16.2715i	0.101692	+	0.576727i
$797$	5.36597	+	9.29414i	0.190072	+	0.329215i	0.945274	−	0.326277i	$-0.105794\pi$
$797$	5.36597	+	9.29414i	0.190072	+	0.329215i	−0.755202	+	0.655493i	$0.772461\pi$
$798$	−5.16858	−	13.9460i	−0.182966	−	0.493684i
$799$	−4.21172	+	7.29491i	−0.149000	+	0.258075i
$800$	−1.45133	−	0.528240i	−0.0513122	−	0.0186761i
$801$	20.3460	−	13.2110i	0.718889	−	0.466789i
$802$	−2.83223	−	2.37652i	−0.100009	−	0.0839178i
$803$	40.2583	−	7.09862i	1.42068	−	0.250505i
$804$	16.4034	−	4.85836i	0.578503	−	0.171341i
$805$	−27.7214			−0.977052
$806$	−13.4649	+	23.3219i	−0.474281	+	0.821479i
$807$	5.59995	+	1.34461i	0.197128	+	0.0473326i
$808$	17.6919	+	3.11956i	0.622399	+	0.109746i
$809$	2.20387	−	1.27240i	0.0774838	−	0.0447353i	−0.460758	−	0.887526i	$-0.652422\pi$
$809$	2.20387	−	1.27240i	0.0774838	−	0.0447353i	0.538241	+	0.842791i	$0.319089\pi$
$810$	−16.0826	+	4.60947i	−0.565086	+	0.161960i
$811$	−43.1035	−	7.60030i	−1.51357	−	0.266883i	−0.645666	−	0.763620i	$-0.723420\pi$
$811$	−43.1035	−	7.60030i	−1.51357	−	0.266883i	−0.867901	+	0.496737i	$0.834531\pi$
$812$	−2.03111	−	11.5190i	−0.0712779	−	0.404237i
$813$	−5.30193	−	17.9010i	−0.185947	−	0.627817i
$814$	−25.1316	+	21.0879i	−0.880861	+	0.739130i
$815$	−34.2961	+	6.04733i	−1.20134	+	0.211829i
$816$	4.59426	+	9.21537i	0.160831	+	0.322603i
$817$	34.5487	+	10.0131i	1.20871	+	0.350313i
$818$			19.8608i			0.694417i
$819$	−15.6606	+	0.819767i	−0.547226	+	0.0286450i
$820$	1.25487	−	0.221268i	0.0438220	−	0.00772701i
$821$	−11.5739	−	31.7990i	−0.403931	−	1.10979i	−0.960327	−	0.278875i	$-0.910039\pi$
$821$	−11.5739	−	31.7990i	−0.403931	−	1.10979i	0.556396	−	0.830917i	$-0.312184\pi$
$822$	19.0912	−	14.1258i	0.665881	−	0.492694i
$823$	−21.9650	+	7.99460i	−0.765651	+	0.278674i	−0.695176	−	0.718839i	$-0.744674\pi$
$823$	−21.9650	+	7.99460i	−0.765651	+	0.278674i	−0.0704748	+	0.997514i	$0.522451\pi$
$824$		−	13.6926i		−	0.477004i
$825$	−5.20061	−	10.4316i	−0.181062	−	0.363183i
$826$	−3.79856	+	21.5427i	−0.132169	+	0.749567i
$827$	40.5667	−	14.7651i	1.41064	−	0.513432i	0.479324	−	0.877638i	$-0.340882\pi$
$827$	40.5667	−	14.7651i	1.41064	−	0.513432i	0.931318	+	0.364206i	$0.118660\pi$
$828$	−20.9053	+	8.87224i	−0.726509	+	0.308332i
$829$	−0.729089	−	0.420940i	−0.0253223	−	0.0146199i	0.487285	−	0.873243i	$-0.337987\pi$
$829$	−0.729089	−	0.420940i	−0.0253223	−	0.0146199i	−0.512608	+	0.858623i	$0.671320\pi$
$830$	3.35566	+	2.81573i	0.116477	+	0.0977355i
$831$	−8.73928	+	20.0973i	−0.303162	+	0.697166i
$832$	2.61320	+	0.460777i	0.0905963	+	0.0159746i
$833$	11.9197	+	14.2053i	0.412992	+	0.492185i
$834$	−3.73957	−	5.05406i	−0.129491	−	0.175008i
$835$	−10.1294	−	5.84821i	−0.350542	−	0.202386i
$836$	−11.2074	+	15.3338i	−0.387615	+	0.530329i
$837$	−17.5985	−	49.7114i	−0.608294	−	1.71828i
$838$	7.97233	−	21.9038i	0.275399	−	0.756654i
$839$	−38.6133	−	14.0541i	−1.33308	−	0.485202i	−0.425454	−	0.904980i	$-0.639886\pi$
$839$	−38.6133	−	14.0541i	−1.33308	−	0.485202i	−0.907627	+	0.419778i	$0.862108\pi$
$840$	−6.08163	+	1.80126i	−0.209836	+	0.0621492i
$841$	−5.87644	−	2.13885i	−0.202636	−	0.0737534i
$842$	−11.8181	−	32.4701i	−0.407280	−	1.11899i
$843$	2.38676	−	39.0033i	0.0822042	−	1.34335i
$844$			27.9710i			0.962802i
$845$	3.78856	+	10.4090i	0.130331	+	0.358080i
$846$	−4.06485	−	1.24302i	−0.139752	−	0.0427360i
$847$	−7.86586	−	13.6241i	−0.270274	−	0.468129i
$848$	0.881698	+	1.52715i	0.0302776	+	0.0524424i
$849$	50.4391	+	12.1110i	1.73107	+	0.415649i
$850$	−3.14041	+	8.62819i	−0.107715	+	0.295945i
$851$	−9.89736	+	56.1307i	−0.339277	+	1.92414i
$852$	16.9464	−	1.93026i	0.580573	−	0.0661297i
$853$	−23.8218	+	19.9888i	−0.815641	+	0.684404i	−0.951947	−	0.306263i	$-0.900921\pi$
$853$	−23.8218	+	19.9888i	−0.815641	+	0.684404i	0.136306	+	0.990667i	$0.456477\pi$
$854$	−0.578454			−0.0197943
$855$	−1.34270	+	24.2712i	−0.0459195	+	0.830059i
$856$	5.29193			0.180875
$857$	−12.4125	+	10.4154i	−0.424004	+	0.355782i	−0.829684	−	0.558234i	$-0.811479\pi$
$857$	−12.4125	+	10.4154i	−0.424004	+	0.355782i	0.405680	+	0.914015i	$0.367035\pi$
$858$	11.9114	+	16.0984i	0.406650	+	0.549591i
$859$	7.85926	−	44.5721i	0.268155	−	1.52078i	−0.491745	−	0.870739i	$-0.663641\pi$
$859$	7.85926	−	44.5721i	0.268155	−	1.52078i	0.759899	−	0.650041i	$-0.225248\pi$
$860$	5.24660	−	14.4149i	0.178908	−	0.491545i
$861$	−1.61005	+	1.69653i	−0.0548703	+	0.0578176i
$862$	−9.35496	−	16.2033i	−0.318631	−	0.551885i
$863$	1.43704	+	2.48902i	0.0489173	+	0.0847273i	0.889447	−	0.457038i	$-0.151090\pi$
$863$	1.43704	+	2.48902i	0.0489173	+	0.0847273i	−0.840530	+	0.541765i	$0.817756\pi$
$864$	−4.00979	+	3.30479i	−0.136416	+	0.112431i
$865$	3.36294	+	9.23960i	0.114343	+	0.314156i
$866$		−	17.7895i		−	0.604511i
$867$	28.4341	−	14.1756i	0.965673	−	0.481429i
$868$	−6.83795	−	18.7871i	−0.232095	−	0.637676i
$869$	9.59574	+	3.49256i	0.325513	+	0.118477i
$870$	−4.46335	+	18.5886i	−0.151322	+	0.630214i
$871$	−24.6285	−	8.96406i	−0.834506	−	0.303736i
$872$	−0.538448	+	1.47937i	−0.0182342	+	0.0500980i
$873$	1.36320	−	11.0967i	0.0461374	−	0.375567i
$874$	2.20817	+	32.9230i	0.0746925	+	1.11364i
$875$	−20.7550	−	11.9829i	−0.701648	−	0.405097i
$876$	6.48009	−	14.9019i	0.218942	−	0.503490i
$877$	7.05291	+	8.40533i	0.238160	+	0.283828i	0.871864	−	0.489747i	$-0.162911\pi$
$877$	7.05291	+	8.40533i	0.238160	+	0.283828i	−0.633705	+	0.773575i	$0.718467\pi$
$878$	33.3135	+	5.87407i	1.12428	+	0.198240i
$879$	10.8962	+	14.7263i	0.367519	+	0.496705i
$880$	6.20476	+	5.20641i	0.209162	+	0.175508i
$881$	−26.7064	−	15.4189i	−0.899760	−	0.519477i	−0.0226377	−	0.999744i	$-0.507206\pi$
$881$	−26.7064	−	15.4189i	−0.899760	−	0.519477i	−0.877122	+	0.480267i	$0.840540\pi$
$882$	−5.63200	+	7.47295i	−0.189639	+	0.251627i
$883$	−27.0266	+	9.83687i	−0.909516	+	0.331037i	−0.754060	−	0.656806i	$-0.771907\pi$
$883$	−27.0266	+	9.83687i	−0.909516	+	0.331037i	−0.155457	+	0.987843i	$0.549685\pi$
$884$	2.73934	−	15.5355i	0.0921338	−	0.522517i
$885$	19.7340	−	29.8129i	0.663352	−	1.00215i
$886$			34.8145i			1.16961i
$887$	−51.6713	+	18.8068i	−1.73495	+	0.631471i	−0.998963	−	0.0455222i	$-0.985505\pi$
$887$	−51.6713	+	18.8068i	−1.73495	+	0.631471i	−0.735989	+	0.676993i	$0.763283\pi$
$888$	1.47589	+	12.9573i	0.0495275	+	0.434817i
$889$	7.38638	+	20.2939i	0.247731	+	0.680636i
$890$	−14.8032	+	2.61021i	−0.496206	+	0.0874945i
$891$	−39.1195	−	2.74036i	−1.31055	−	0.0918056i
$892$		−	11.7362i		−	0.392957i
$893$	−3.64439	+	4.98620i	−0.121955	+	0.166857i
$894$	−1.34863	+	2.03743i	−0.0451051	+	0.0681417i
$895$	8.98379	−	1.58408i	0.300295	−	0.0529501i
$896$	−1.50909	+	1.26628i	−0.0504151	+	0.0423033i
$897$	33.8304	+	8.12306i	1.12956	+	0.271221i
$898$	−3.23637	−	18.3544i	−0.107999	−	0.612494i
$899$	−59.3425	−	10.4637i	−1.97918	−	0.348984i
$900$	−4.59884	−	0.564955i	−0.153295	−	0.0188318i
$901$	9.07893	−	5.24172i	0.302463	−	0.174627i
$902$	2.94141	+	0.518651i	0.0979384	+	0.0172692i
$903$	7.99627	+	26.9980i	0.266099	+	0.898438i
$904$	−6.01395	+	10.4165i	−0.200021	+	0.346447i
$905$	−6.16565			−0.204953
$906$	1.85937	−	7.74378i	0.0617735	−	0.257270i
$907$	42.4742	−	7.48935i	1.41033	−	0.248680i	0.583951	−	0.811789i	$-0.301506\pi$
$907$	42.4742	−	7.48935i	1.41033	−	0.248680i	0.826383	+	0.563109i	$0.190395\pi$
$908$	−0.832150	−	0.698256i	−0.0276159	−	0.0231725i
$909$	53.8208	−	2.81729i	1.78512	−	0.0934437i
$910$	9.13113	+	3.32346i	0.302694	+	0.110172i
$911$	12.5890	−	21.8049i	0.417094	−	0.722427i	−0.578552	−	0.815645i	$-0.696382\pi$
$911$	12.5890	−	21.8049i	0.417094	−	0.722427i	0.995646	+	0.0932181i	$0.0297154\pi$
$912$	2.62368	+	7.07929i	0.0868786	+	0.234419i
$913$	5.13394	+	8.89224i	0.169909	+	0.294290i
$914$	−1.20520	−	6.83501i	−0.0398644	−	0.226082i
$915$	0.866998	+	0.377013i	0.0286621	+	0.0124637i
$916$	9.80186	−	3.56758i	0.323862	−	0.117876i
$917$	16.9750	+	20.2300i	0.560563	+	0.668053i
$918$	19.6471	+	23.8383i	0.648450	+	0.786782i
$919$	−19.9487	+	34.5522i	−0.658047	+	1.13977i	0.323073	+	0.946374i	$0.395284\pi$
$919$	−19.9487	+	34.5522i	−0.658047	+	1.13977i	−0.981121	+	0.193397i	$0.938049\pi$
$920$	14.0720			0.463939
$921$	−3.50617	+	14.6023i	−0.115532	+	0.481161i
$922$	−22.4377	+	26.7402i	−0.738946	+	0.880642i
$923$	−22.6290	−	13.0649i	−0.744844	−	0.430036i
$924$	−14.8397	−	0.908092i	−0.488189	−	0.0298740i
$925$	−7.47478	+	8.90810i	−0.245769	+	0.292897i
$926$	4.40514	−	3.69635i	0.144762	−	0.121470i
$927$	−9.23802	−	40.0255i	−0.303416	−	1.31461i
$928$	1.03103	+	5.84727i	0.0338453	+	0.191946i
$929$	5.94298	+	7.08257i	0.194983	+	0.232371i	0.854674	−	0.519166i	$-0.173757\pi$
$929$	5.94298	+	7.08257i	0.194983	+	0.232371i	−0.659691	+	0.751537i	$0.729313\pi$
$930$	−1.99584	+	32.6151i	−0.0654462	+	1.06949i
$931$	7.57086	+	11.2934i	0.248125	+	0.370125i
$932$	−11.0967	+	6.40666i	−0.363483	+	0.209857i
$933$	23.0355	+	10.0170i	0.754148	+	0.327940i
$934$	0.140552	−	0.386164i	0.00459900	−	0.0126357i
$935$	30.9523	−	36.8875i	1.01225	−	1.20635i
$936$	7.94964	−	0.416130i	0.259842	−	0.0136016i
$937$	−1.22960	+	6.97339i	−0.0401692	+	0.227811i	−0.998283	−	0.0585774i	$-0.981344\pi$
$937$	−1.22960	+	6.97339i	−0.0401692	+	0.227811i	0.958114	+	0.286388i	$0.0924547\pi$
$938$	16.8509	−	9.72889i	0.550202	−	0.317660i
$939$	16.8995	+	11.1863i	0.551495	+	0.365051i
$940$	2.01765	+	1.69301i	0.0658086	+	0.0552199i
$941$	15.3719	+	12.8985i	0.501109	+	0.420480i	0.857988	−	0.513670i	$-0.171715\pi$
$941$	15.3719	+	12.8985i	0.501109	+	0.420480i	−0.356879	+	0.934151i	$0.616159\pi$
$942$	0.445877	−	7.28634i	0.0145275	−	0.237402i
$943$	4.49385	−	2.59453i	0.146340	−	0.0844894i
$944$	1.92823	−	10.9355i	0.0627585	−	0.355921i
$945$	−16.5623	+	9.36845i	−0.538770	+	0.304756i
$946$	23.1127	−	27.5446i	0.751459	−	0.895554i
$947$	−7.59135	+	20.8571i	−0.246686	+	0.677763i	0.753117	+	0.657887i	$0.228549\pi$
$947$	−7.59135	+	20.8571i	−0.246686	+	0.677763i	−0.999802	+	0.0198764i	$0.993673\pi$
$948$	3.26308	−	2.41440i	0.105980	−	0.0784160i
$949$	−21.5596	+	12.4475i	−0.699855	+	0.404061i
$950$	−2.96839	+	6.04244i	−0.0963072	+	0.196043i
$951$	38.0017	−	18.9455i	1.23229	−	0.614349i
$952$	7.52806	+	8.97159i	0.243986	+	0.290771i
$953$	1.60735	+	9.11575i	0.0520673	+	0.295288i	0.999711	−	0.0240416i	$-0.00765340\pi$
$953$	1.60735	+	9.11575i	0.0520673	+	0.295288i	−0.947644	+	0.319330i	$0.896542\pi$
$954$	3.60766	+	3.86922i	0.116802	+	0.125271i
$955$	−6.77267	+	5.68294i	−0.219158	+	0.183896i
$956$	−10.6062	+	12.6400i	−0.343029	+	0.408806i
$957$	−24.7335	+	37.3658i	−0.799521	+	1.20786i
$958$	23.2932	+	13.4483i	0.752569	+	0.434496i
$959$	17.3625	−	20.6918i	0.560664	−	0.668173i
$960$	3.08716	−	0.914354i	0.0996376	−	0.0295107i
$961$	−71.9974			−2.32250
$962$	9.98946	−	17.3023i	0.322073	−	0.557847i
$963$	15.4691	−	3.57032i	0.498485	−	0.115052i
$964$	7.25221	+	8.64285i	0.233578	+	0.278367i
$965$	−16.2724	+	5.92268i	−0.523828	+	0.190658i
$966$	−20.7638	+	15.3634i	−0.668065	+	0.494310i
$967$	1.57464	+	8.93022i	0.0506370	+	0.287177i	0.999602	−	0.0282042i	$-0.00897887\pi$
$967$	1.57464	+	8.93022i	0.0506370	+	0.287177i	−0.948965	+	0.315381i	$0.897868\pi$
$968$	3.99287	+	6.91586i	0.128336	+	0.222284i
$969$	42.0866	−	15.5978i	1.35202	−	0.501075i
$970$	−3.46381	+	5.99949i	−0.111216	+	0.192632i
$971$	−26.3158	−	9.57817i	−0.844514	−	0.307378i	−0.116712	−	0.993166i	$-0.537236\pi$
$971$	−26.3158	−	9.57817i	−0.844514	−	0.307378i	−0.727802	+	0.685788i	$0.759458\pi$
$972$	−9.49156	+	12.3657i	−0.304442	+	0.396630i
$973$	−5.47780	−	4.59642i	−0.175610	−	0.147354i
$974$	14.1651	−	2.49768i	0.453878	−	0.0800309i
$975$	5.14885	+	4.88638i	0.164895	+	0.156489i
$976$	0.293635			0.00939903
$977$	−5.85314	+	10.1379i	−0.187259	+	0.324342i	−0.944335	−	0.328985i	$-0.893294\pi$
$977$	−5.85314	+	10.1379i	−0.187259	+	0.324342i	0.757077	+	0.653326i	$0.226627\pi$
$978$	−22.3369	+	23.5367i	−0.714256	+	0.752622i
$979$	−34.6987	−	6.11832i	−1.10898	−	0.195542i
$980$	5.02147	−	2.89914i	0.160405	−	0.0926098i
$981$	−0.575873	+	4.68771i	−0.0183862	+	0.149667i
$982$	−14.3700	−	2.53382i	−0.458565	−	0.0808575i
$983$	−0.283002	−	1.60498i	−0.00902636	−	0.0511910i	0.979962	−	0.199185i	$-0.0638295\pi$
$983$	−0.283002	−	1.60498i	−0.00902636	−	0.0511910i	−0.988988	+	0.147994i	$0.952718\pi$
$984$	0.817293	−	0.861194i	0.0260544	−	0.0274539i
$985$	−27.1051	+	22.7439i	−0.863640	+	0.724680i
$986$	34.7622	−	6.12952i	1.10705	−	0.195204i
$987$	−4.82553	−	0.295292i	−0.153598	−	0.00939924i
$988$	3.21972	−	11.1092i	0.102433	−	0.353431i
$989$		−	62.4693i		−	1.98641i
$990$	21.6501	+	11.0330i	0.688085	+	0.350650i
$991$	36.5954	−	6.45276i	1.16249	−	0.204979i	0.441069	−	0.897473i	$-0.354599\pi$
$991$	36.5954	−	6.45276i	1.16249	−	0.204979i	0.721423	+	0.692494i	$0.243488\pi$
$992$	3.47108	+	9.53672i	0.110207	+	0.302791i
$993$	−46.0569	−	20.0278i	−1.46157	−	0.635564i
$994$	18.2290	−	6.63480i	0.578187	−	0.210443i
$995$		−	30.7137i		−	0.973690i
$996$	4.07395	+	0.249300i	0.129088	+	0.00789937i
$997$	8.77177	−	49.7472i	0.277805	−	1.57551i	−0.452104	−	0.891965i	$-0.649326\pi$
$997$	8.77177	−	49.7472i	0.277805	−	1.57551i	0.729909	−	0.683544i	$-0.239562\pi$
$998$	−22.6516	+	8.24449i	−0.717022	+	0.260975i
$999$	13.0561	+	36.8803i	0.413078	+	1.16684i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	342.2.x.c.281.5	yes	60
9.5	odd	6		342.2.bf.c.167.4	yes	60
19.14	odd	18		342.2.bf.c.299.4	yes	60
171.14	even	18	inner	342.2.x.c.185.5	✓	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
342.2.x.c.185.5	✓	60	171.14	even	18	inner
342.2.x.c.281.5	yes	60	1.1	even	1	trivial
342.2.bf.c.167.4	yes	60	9.5	odd	6
342.2.bf.c.299.4	yes	60	19.14	odd	18

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:	\( N \)	\(=\)	\( 342 = 2 \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	342.x (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 - 0.642788i) q^{2} +(-0.690703 + 1.58837i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.635783 + 1.74680i) q^{5} +(0.491878 + 1.66074i) q^{6} +(0.984988 + 1.70605i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.04586 - 2.19419i) q^{9} +O(q^{10})\)	\(q+(0.766044 - 0.642788i) q^{2} +(-0.690703 + 1.58837i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.635783 + 1.74680i) q^{5} +(0.491878 + 1.66074i) q^{6} +(0.984988 + 1.70605i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.04586 - 2.19419i) q^{9} +(0.635783 + 1.74680i) q^{10} +4.35726i q^{11} +(1.44430 + 0.956028i) q^{12} +(-0.907553 - 2.49348i) q^{13} +(1.85117 + 0.673771i) q^{14} +(-2.33543 - 2.21638i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-2.03332 + 5.58651i) q^{17} +(-2.97762 - 0.365792i) q^{18} +(-1.92194 + 3.91230i) q^{19} +(1.60986 + 0.929453i) q^{20} +(-3.39018 + 0.386156i) q^{21} +(2.80079 + 3.33786i) q^{22} +(7.45502 + 1.31452i) q^{23} +(1.72092 - 0.196021i) q^{24} +(1.18313 + 0.992766i) q^{25} +(-2.29801 - 1.32675i) q^{26} +(4.89827 - 1.73406i) q^{27} +(1.85117 - 0.673771i) q^{28} +(1.03103 - 5.84727i) q^{29} +(-3.21371 - 0.196658i) q^{30} -10.1488i q^{31} +(-0.939693 + 0.342020i) q^{32} +(-6.92096 - 3.00957i) q^{33} +(2.03332 + 5.58651i) q^{34} +(-3.60636 + 0.635899i) q^{35} +(-2.51611 + 1.63376i) q^{36} +7.52925i q^{37} +(1.04249 + 4.23240i) q^{38} +(4.58743 + 0.280722i) q^{39} +(1.83066 - 0.322796i) q^{40} +(0.525103 - 0.440614i) q^{41} +(-2.34881 + 2.47498i) q^{42} +(-1.43298 - 8.12682i) q^{43} +(4.29107 + 0.756631i) q^{44} +(5.13353 - 2.17868i) q^{45} +(6.55584 - 3.78501i) q^{46} +(1.39536 + 0.246040i) q^{47} +(1.19230 - 1.25635i) q^{48} +(1.55960 - 2.70130i) q^{49} +1.54447 q^{50} +(-7.46904 - 7.08829i) q^{51} +(-2.61320 + 0.460777i) q^{52} +(-1.35084 - 1.13349i) q^{53} +(2.63766 - 4.47691i) q^{54} +(-7.61127 - 2.77027i) q^{55} +(0.984988 - 1.70605i) q^{56} +(-4.88671 - 5.75501i) q^{57} +(-2.96874 - 5.14200i) q^{58} +(1.92823 + 10.9355i) q^{59} +(-2.58825 + 1.91508i) q^{60} +(-0.275927 + 0.100429i) q^{61} +(-6.52350 - 7.77440i) q^{62} +(1.72825 - 5.65159i) q^{63} +(-0.500000 + 0.866025i) q^{64} +4.93262 q^{65} +(-7.23628 + 2.14324i) q^{66} +(6.34892 - 7.56635i) q^{67} +(5.14855 + 2.97252i) q^{68} +(-7.23715 + 10.9334i) q^{69} +(-2.35389 + 2.80525i) q^{70} +(7.54343 - 6.32969i) q^{71} +(-0.877292 + 2.86886i) q^{72} +(-1.62915 - 9.23935i) q^{73} +(4.83971 + 5.76774i) q^{74} +(-2.39408 + 1.19355i) q^{75} +(3.51913 + 2.57211i) q^{76} +(-7.43371 + 4.29185i) q^{77} +(3.69462 - 2.73370i) q^{78} +(0.801550 - 2.20224i) q^{79} +(1.19488 - 1.42400i) q^{80} +(-0.628918 + 8.97800i) q^{81} +(0.119031 - 0.675060i) q^{82} +(2.04079 - 1.17825i) q^{83} +(-0.208409 + 3.40573i) q^{84} +(-8.46576 - 7.10361i) q^{85} +(-6.32155 - 5.30441i) q^{86} +(8.57551 + 5.67639i) q^{87} +(3.77350 - 2.17863i) q^{88} +(-1.40417 + 7.96342i) q^{89} +(2.53208 - 4.96873i) q^{90} +(3.36007 - 4.00438i) q^{91} +(2.58910 - 7.11350i) q^{92} +(16.1200 + 7.00978i) q^{93} +(1.22706 - 0.708443i) q^{94} +(-5.61207 - 5.84463i) q^{95} +(0.105793 - 1.72882i) q^{96} +(2.39549 + 2.85483i) q^{97} +(-0.541643 - 3.07181i) q^{98} +(9.56065 - 8.91435i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9}+O(q^{10}) \) 60 * q - 6 * q^3 - 30 * q^8 + 6 * q^9	\( 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9} + 3 q^{13} + 3 q^{14} + 27 q^{15} - 27 q^{17} - 18 q^{18} + 3 q^{19} + 18 q^{23} + 3 q^{24} - 6 q^{27} + 3 q^{28} + 57 q^{33} + 27 q^{34} + 9 q^{38} - 30 q^{39} + 9 q^{41} - 3 q^{43} - 9 q^{44} + 27 q^{45} - 30 q^{49} - 132 q^{50} - 66 q^{51} + 6 q^{52} + 27 q^{54} + 102 q^{57} - 54 q^{59} + 6 q^{60} - 24 q^{61} - 3 q^{62} - 30 q^{64} + 36 q^{65} - 63 q^{66} + 51 q^{67} - 18 q^{68} + 3 q^{69} - 18 q^{71} - 3 q^{72} - 66 q^{73} - 6 q^{74} + 3 q^{78} - 51 q^{79} - 30 q^{81} - 36 q^{83} + 60 q^{84} - 3 q^{86} + 54 q^{87} - 27 q^{89} + 36 q^{90} - 69 q^{91} + 69 q^{93} + 18 q^{94} - 27 q^{95} + 81 q^{97} + 60 q^{98} + 51 q^{99}+O(q^{100}) \) 60 * q - 6 * q^3 - 30 * q^8 + 6 * q^9 + 3 * q^13 + 3 * q^14 + 27 * q^15 - 27 * q^17 - 18 * q^18 + 3 * q^19 + 18 * q^23 + 3 * q^24 - 6 * q^27 + 3 * q^28 + 57 * q^33 + 27 * q^34 + 9 * q^38 - 30 * q^39 + 9 * q^41 - 3 * q^43 - 9 * q^44 + 27 * q^45 - 30 * q^49 - 132 * q^50 - 66 * q^51 + 6 * q^52 + 27 * q^54 + 102 * q^57 - 54 * q^59 + 6 * q^60 - 24 * q^61 - 3 * q^62 - 30 * q^64 + 36 * q^65 - 63 * q^66 + 51 * q^67 - 18 * q^68 + 3 * q^69 - 18 * q^71 - 3 * q^72 - 66 * q^73 - 6 * q^74 + 3 * q^78 - 51 * q^79 - 30 * q^81 - 36 * q^83 + 60 * q^84 - 3 * q^86 + 54 * q^87 - 27 * q^89 + 36 * q^90 - 69 * q^91 + 69 * q^93 + 18 * q^94 - 27 * q^95 + 81 * q^97 + 60 * q^98 + 51 * q^99

Introduction

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