LMFDB - Embedded newform 130.2.p.b.7.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [130,2,Mod(7,130)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(130, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 11]))

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

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

chi := DirichletCharacter("130.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	130.p (of order $12$, 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:	$1.03805522628$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{13} - 48 x^{12} + 16 x^{11} + 8 x^{10} + 80 x^{9} + 2208 x^{8} + 760 x^{7} + 192 x^{6} + \cdots + 4096 $ x^16 - 4x^13 - 48x^12 + 16x^11 + 8x^10 + 80x^9 + 2208x^8 + 760x^7 + 192x^6 + 1696x^5 - 2812x^4 - 2080x^3 + 128x^2 - 1024*x + 4096
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			7.3
Root			$0.935952 + 0.250788i$ of defining polynomial
Character	$\chi$	$=$	130.7
Dual form			130.2.p.b.93.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 + 0.500000i) q^{2} +(0.250788 + 0.935952i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.23384 - 0.0997335i) q^{5} +(-0.250788 + 0.935952i) q^{6} +(1.88470 + 3.26439i) q^{7} +1.00000i q^{8} +(1.78496 - 1.03055i) q^{9} +O(q^{10})$	\(q+(0.866025 + 0.500000i) q^{2} +(0.250788 + 0.935952i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.23384 - 0.0997335i) q^{5} +(-0.250788 + 0.935952i) q^{6} +(1.88470 + 3.26439i) q^{7} +1.00000i q^{8} +(1.78496 - 1.03055i) q^{9} +(-1.88470 - 1.20329i) q^{10} +(-0.866224 - 3.23279i) q^{11} +(-0.685164 + 0.685164i) q^{12} +(1.65204 - 3.20480i) q^{13} +3.76940i q^{14} +(-0.466874 - 2.11578i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-5.78398 - 1.54981i) q^{17} +2.06110 q^{18} +(-2.47930 - 0.664325i) q^{19} +(-1.03055 - 1.98443i) q^{20} +(-2.58266 + 2.58266i) q^{21} +(0.866224 - 3.23279i) q^{22} +(5.49044 - 1.47116i) q^{23} +(-0.935952 + 0.250788i) q^{24} +(4.98011 + 0.445578i) q^{25} +(3.03311 - 1.94942i) q^{26} +(3.46769 + 3.46769i) q^{27} +(-1.88470 + 3.26439i) q^{28} +(-1.64797 - 0.951456i) q^{29} +(0.653566 - 2.06576i) q^{30} +(-2.67209 - 2.67209i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(2.80850 - 1.62149i) q^{33} +(-4.23417 - 4.23417i) q^{34} +(-3.88455 - 7.48011i) q^{35} +(1.78496 + 1.03055i) q^{36} +(-4.85245 + 8.40469i) q^{37} +(-1.81497 - 1.81497i) q^{38} +(3.41385 + 0.742504i) q^{39} +(0.0997335 - 2.23384i) q^{40} +(-7.72280 + 2.06932i) q^{41} +(-3.52797 + 0.945318i) q^{42} +(0.435276 - 1.62447i) q^{43} +(2.36657 - 2.36657i) q^{44} +(-4.09011 + 2.12407i) q^{45} +(5.49044 + 1.47116i) q^{46} +12.7697 q^{47} +(-0.935952 - 0.250788i) q^{48} +(-3.60417 + 6.24261i) q^{49} +(4.09011 + 2.87593i) q^{50} -5.80221i q^{51} +(3.60146 - 0.171694i) q^{52} +(-0.161487 + 0.161487i) q^{53} +(1.26926 + 4.73695i) q^{54} +(1.61259 + 7.30794i) q^{55} +(-3.26439 + 1.88470i) q^{56} -2.48711i q^{57} +(-0.951456 - 1.64797i) q^{58} +(-0.0190678 + 0.0711619i) q^{59} +(1.59888 - 1.46222i) q^{60} +(-0.706461 - 1.22363i) q^{61} +(-0.978052 - 3.65014i) q^{62} +(6.72824 + 3.88455i) q^{63} -1.00000 q^{64} +(-4.01002 + 6.99426i) q^{65} +3.24298 q^{66} +(-5.12018 - 2.95614i) q^{67} +(-1.54981 - 5.78398i) q^{68} +(2.75387 + 4.76984i) q^{69} +(0.375935 - 8.42024i) q^{70} +(-2.27158 + 8.47765i) q^{71} +(1.03055 + 1.78496i) q^{72} +6.27412i q^{73} +(-8.40469 + 4.85245i) q^{74} +(0.831910 + 4.77289i) q^{75} +(-0.664325 - 2.47930i) q^{76} +(8.92054 - 8.92054i) q^{77} +(2.58523 + 2.34995i) q^{78} +1.00542i q^{79} +(1.20329 - 1.88470i) q^{80} +(0.715714 - 1.23965i) q^{81} +(-7.72280 - 2.06932i) q^{82} -10.9727 q^{83} +(-3.52797 - 0.945318i) q^{84} +(12.7659 + 4.03890i) q^{85} +(1.18920 - 1.18920i) q^{86} +(0.477227 - 1.78104i) q^{87} +(3.23279 - 0.866224i) q^{88} +(-6.26494 + 1.67868i) q^{89} +(-4.60417 - 0.205561i) q^{90} +(13.5753 - 0.647184i) q^{91} +(4.01928 + 4.01928i) q^{92} +(1.83082 - 3.17107i) q^{93} +(11.0589 + 6.38483i) q^{94} +(5.47210 + 1.73127i) q^{95} +(-0.685164 - 0.685164i) q^{96} +(-6.40116 + 3.69571i) q^{97} +(-6.24261 + 3.60417i) q^{98} +(-4.87773 - 4.87773i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{4} - 2 q^{5}+O(q^{10}) $ 16 * q + 8 * q^4 - 2 * q^5	$ 16 q + 8 q^{4} - 2 q^{5} + 6 q^{11} + 2 q^{13} + 6 q^{15} - 8 q^{16} - 16 q^{17} - 16 q^{18} + 8 q^{20} - 6 q^{22} - 6 q^{23} - 14 q^{25} - 6 q^{26} - 12 q^{27} - 6 q^{29} + 6 q^{30} - 6 q^{33} - 14 q^{34} - 20 q^{37} + 6 q^{38} - 6 q^{39} - 44 q^{41} + 6 q^{42} + 6 q^{44} - 6 q^{46} + 52 q^{47} - 2 q^{49} + 10 q^{52} - 24 q^{53} + 6 q^{54} + 64 q^{55} + 6 q^{56} + 8 q^{58} - 46 q^{59} + 6 q^{61} + 12 q^{62} + 90 q^{63} - 16 q^{64} - 22 q^{65} + 52 q^{66} + 12 q^{67} - 2 q^{68} + 58 q^{69} - 32 q^{70} + 6 q^{71} - 8 q^{72} + 24 q^{74} + 44 q^{75} - 6 q^{76} + 58 q^{77} + 38 q^{78} + 10 q^{80} - 24 q^{81} - 44 q^{82} - 64 q^{83} + 6 q^{84} + 40 q^{85} - 44 q^{87} - 24 q^{89} - 18 q^{90} + 38 q^{91} - 26 q^{93} - 6 q^{95} - 6 q^{97} - 26 q^{99}+O(q^{100}) $ 16 * q + 8 * q^4 - 2 * q^5 + 6 * q^11 + 2 * q^13 + 6 * q^15 - 8 * q^16 - 16 * q^17 - 16 * q^18 + 8 * q^20 - 6 * q^22 - 6 * q^23 - 14 * q^25 - 6 * q^26 - 12 * q^27 - 6 * q^29 + 6 * q^30 - 6 * q^33 - 14 * q^34 - 20 * q^37 + 6 * q^38 - 6 * q^39 - 44 * q^41 + 6 * q^42 + 6 * q^44 - 6 * q^46 + 52 * q^47 - 2 * q^49 + 10 * q^52 - 24 * q^53 + 6 * q^54 + 64 * q^55 + 6 * q^56 + 8 * q^58 - 46 * q^59 + 6 * q^61 + 12 * q^62 + 90 * q^63 - 16 * q^64 - 22 * q^65 + 52 * q^66 + 12 * q^67 - 2 * q^68 + 58 * q^69 - 32 * q^70 + 6 * q^71 - 8 * q^72 + 24 * q^74 + 44 * q^75 - 6 * q^76 + 58 * q^77 + 38 * q^78 + 10 * q^80 - 24 * q^81 - 44 * q^82 - 64 * q^83 + 6 * q^84 + 40 * q^85 - 44 * q^87 - 24 * q^89 - 18 * q^90 + 38 * q^91 - 26 * q^93 - 6 * q^95 - 6 * q^97 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{11}{12}\right)$

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 $

$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$3$	0.250788	+	0.935952i	0.144792	+	0.540372i	0.999765	+	0.0216985i	$0.00690738\pi$
$3$	0.250788	+	0.935952i	0.144792	+	0.540372i	−0.854972	+	0.518674i	$0.826426\pi$
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	−2.23384	−	0.0997335i	−0.999005	−	0.0446022i
$5$	−2.23384	−	0.0997335i	−0.999005	−	0.0446022i
$6$	−0.250788	+	0.935952i	−0.102384	+	0.382101i
$7$	1.88470	+	3.26439i	0.712349	+	1.23382i	0.963973	+	0.265999i	$0.0857019\pi$
$7$	1.88470	+	3.26439i	0.712349	+	1.23382i	−0.251624	+	0.967825i	$0.580965\pi$
$8$			1.00000i			0.353553i
$9$	1.78496	−	1.03055i	0.594988	−	0.343517i
$10$	−1.88470	−	1.20329i	−0.595994	−	0.380515i
$11$	−0.866224	−	3.23279i	−0.261176	−	0.974724i	−0.964549	−	0.263903i	$-0.914990\pi$
$11$	−0.866224	−	3.23279i	−0.261176	−	0.974724i	0.703373	−	0.710821i	$-0.251676\pi$
$12$	−0.685164	+	0.685164i	−0.197790	+	0.197790i
$13$	1.65204	−	3.20480i	0.458193	−	0.888853i
$13$	1.65204	−	3.20480i	0.458193	−	0.888853i
$14$			3.76940i			1.00741i
$15$	−0.466874	−	2.11578i	−0.120546	−	0.546292i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−5.78398	−	1.54981i	−1.40282	−	0.375885i	−0.523465	−	0.852047i	$-0.675361\pi$
$17$	−5.78398	−	1.54981i	−1.40282	−	0.375885i	−0.879357	+	0.476162i	$0.842027\pi$
$18$	2.06110			0.485806
$19$	−2.47930	−	0.664325i	−0.568789	−	0.152407i	−0.0370481	−	0.999313i	$-0.511795\pi$
$19$	−2.47930	−	0.664325i	−0.568789	−	0.152407i	−0.531741	+	0.846907i	$0.678462\pi$
$20$	−1.03055	−	1.98443i	−0.230438	−	0.443732i
$21$	−2.58266	+	2.58266i	−0.563582	+	0.563582i
$22$	0.866224	−	3.23279i	0.184680	−	0.689234i
$23$	5.49044	−	1.47116i	1.14484	−	0.306758i	0.363943	−	0.931421i	$-0.381430\pi$
$23$	5.49044	−	1.47116i	1.14484	−	0.306758i	0.780894	+	0.624663i	$0.214764\pi$
$24$	−0.935952	+	0.250788i	−0.191050	+	0.0511918i
$25$	4.98011	+	0.445578i	0.996021	+	0.0891155i
$26$	3.03311	−	1.94942i	0.594842	−	0.382313i
$27$	3.46769	+	3.46769i	0.667356	+	0.667356i
$28$	−1.88470	+	3.26439i	−0.356174	+	0.616912i
$29$	−1.64797	−	0.951456i	−0.306021	−	0.176681i	0.339124	−	0.940742i	$-0.389869\pi$
$29$	−1.64797	−	0.951456i	−0.306021	−	0.176681i	−0.645144	+	0.764061i	$0.723203\pi$
$30$	0.653566	−	2.06576i	0.119324	−	0.377154i
$31$	−2.67209	−	2.67209i	−0.479921	−	0.479921i	0.425185	−	0.905106i	$-0.360209\pi$
$31$	−2.67209	−	2.67209i	−0.479921	−	0.479921i	−0.905106	+	0.425185i	$0.860209\pi$
$32$	−0.866025	+	0.500000i	−0.153093	+	0.0883883i
$33$	2.80850	−	1.62149i	0.488897	−	0.282265i
$34$	−4.23417	−	4.23417i	−0.726154	−	0.726154i
$35$	−3.88455	−	7.48011i	−0.656609	−	1.26437i
$36$	1.78496	+	1.03055i	0.297494	+	0.171758i
$37$	−4.85245	+	8.40469i	−0.797737	+	1.38172i	0.123349	+	0.992363i	$0.460637\pi$
$37$	−4.85245	+	8.40469i	−0.797737	+	1.38172i	−0.921086	+	0.389358i	$0.872697\pi$
$38$	−1.81497	−	1.81497i	−0.294427	−	0.294427i
$39$	3.41385	+	0.742504i	0.546654	+	0.118896i
$40$	0.0997335	−	2.23384i	0.0157692	−	0.353202i
$41$	−7.72280	+	2.06932i	−1.20610	+	0.323173i	−0.805230	−	0.592962i	$-0.797958\pi$
$41$	−7.72280	+	2.06932i	−1.20610	+	0.323173i	−0.400869	+	0.916136i	$0.631292\pi$
$42$	−3.52797	+	0.945318i	−0.544378	+	0.145866i
$43$	0.435276	−	1.62447i	0.0663789	−	0.247729i	−0.924762	−	0.380547i	$-0.875736\pi$
$43$	0.435276	−	1.62447i	0.0663789	−	0.247729i	0.991141	+	0.132817i	$0.0424024\pi$
$44$	2.36657	−	2.36657i	0.356774	−	0.356774i
$45$	−4.09011	+	2.12407i	−0.609718	+	0.316637i
$46$	5.49044	+	1.47116i	0.809522	+	0.216911i
$47$	12.7697			1.86265			0.931324	−	0.364193i	$-0.118655\pi$
$47$	12.7697			1.86265			0.931324	+	0.364193i	$0.118655\pi$
$48$	−0.935952	−	0.250788i	−0.135093	−	0.0361981i
$49$	−3.60417	+	6.24261i	−0.514882	+	0.891801i
$50$	4.09011	+	2.87593i	0.578429	+	0.406719i
$51$		−	5.80221i		−	0.812471i
$52$	3.60146	−	0.171694i	0.499433	−	0.0238097i
$53$	−0.161487	+	0.161487i	−0.0221819	+	0.0221819i	−0.718111	−	0.695929i	$-0.754993\pi$
$53$	−0.161487	+	0.161487i	−0.0221819	+	0.0221819i	0.695929	+	0.718111i	$0.254993\pi$
$54$	1.26926	+	4.73695i	0.172725	+	0.644617i
$55$	1.61259	+	7.30794i	0.217442	+	0.985403i
$56$	−3.26439	+	1.88470i	−0.436223	+	0.251853i
$57$		−	2.48711i		−	0.329425i
$58$	−0.951456	−	1.64797i	−0.124932	−	0.216389i
$59$	−0.0190678	+	0.0711619i	−0.00248241	+	0.00926449i	−0.967156	−	0.254184i	$-0.918193\pi$
$59$	−0.0190678	+	0.0711619i	−0.00248241	+	0.00926449i	0.964674	+	0.263448i	$0.0848598\pi$
$60$	1.59888	−	1.46222i	0.206415	−	0.188771i
$61$	−0.706461	−	1.22363i	−0.0904531	−	0.156669i	0.817249	−	0.576285i	$-0.195498\pi$
$61$	−0.706461	−	1.22363i	−0.0904531	−	0.156669i	−0.907702	+	0.419616i	$0.862165\pi$
$62$	−0.978052	−	3.65014i	−0.124213	−	0.463568i
$63$	6.72824	+	3.88455i	0.847678	+	0.489407i
$64$	−1.00000			−0.125000
$65$	−4.01002	+	6.99426i	−0.497382	+	0.867532i
$66$	3.24298			0.399183
$67$	−5.12018	−	2.95614i	−0.625529	−	0.361149i	0.153489	−	0.988150i	$-0.450949\pi$
$67$	−5.12018	−	2.95614i	−0.625529	−	0.361149i	−0.779019	+	0.627001i	$0.784282\pi$
$68$	−1.54981	−	5.78398i	−0.187943	−	0.701411i
$69$	2.75387	+	4.76984i	0.331527	+	0.574222i
$70$	0.375935	−	8.42024i	0.0449328	−	1.00641i
$71$	−2.27158	+	8.47765i	−0.269587	+	1.00611i	0.689796	+	0.724004i	$0.257700\pi$
$71$	−2.27158	+	8.47765i	−0.269587	+	1.00611i	−0.959383	+	0.282108i	$0.908966\pi$
$72$	1.03055	+	1.78496i	0.121451	+	0.210360i
$73$			6.27412i			0.734330i	0.930156	+	0.367165i	$0.119672\pi$
$73$			6.27412i			0.734330i	−0.930156	+	0.367165i	$0.880328\pi$
$74$	−8.40469	+	4.85245i	−0.977025	+	0.564086i
$75$	0.831910	+	4.77289i	0.0960606	+	0.551125i
$76$	−0.664325	−	2.47930i	−0.0762033	−	0.284395i
$77$	8.92054	−	8.92054i	1.01659	−	1.01659i
$78$	2.58523	+	2.34995i	0.292720	+	0.266080i
$79$			1.00542i			0.113119i	0.998399	+	0.0565594i	$0.0180130\pi$
$79$			1.00542i			0.113119i	−0.998399	+	0.0565594i	$0.981987\pi$
$80$	1.20329	−	1.88470i	0.134532	−	0.210716i
$81$	0.715714	−	1.23965i	0.0795238	−	0.137739i
$82$	−7.72280	−	2.06932i	−0.852841	−	0.228518i
$83$	−10.9727			−1.20441			−0.602203	−	0.798343i	$-0.705710\pi$
$83$	−10.9727			−1.20441			−0.602203	+	0.798343i	$0.705710\pi$
$84$	−3.52797	−	0.945318i	−0.384933	−	0.103143i
$85$	12.7659	+	4.03890i	1.38466	+	0.438080i
$86$	1.18920	−	1.18920i	0.128234	−	0.128234i
$87$	0.477227	−	1.78104i	0.0511641	−	0.190947i
$88$	3.23279	−	0.866224i	0.344617	−	0.0923398i
$89$	−6.26494	+	1.67868i	−0.664082	+	0.177940i	−0.575087	−	0.818092i	$-0.695032\pi$
$89$	−6.26494	+	1.67868i	−0.664082	+	0.177940i	−0.0889944	+	0.996032i	$0.528365\pi$
$90$	−4.60417	−	0.205561i	−0.485322	−	0.0216680i
$91$	13.5753	−	0.647184i	1.42308	−	0.0678433i
$92$	4.01928	+	4.01928i	0.419039	+	0.419039i
$93$	1.83082	−	3.17107i	0.189847	−	0.328825i
$94$	11.0589	+	6.38483i	1.14063	+	0.658545i
$95$	5.47210	+	1.73127i	0.561426	+	0.177624i
$96$	−0.685164	−	0.685164i	−0.0699293	−	0.0699293i
$97$	−6.40116	+	3.69571i	−0.649940	+	0.375243i	−0.788433	−	0.615120i	$-0.789107\pi$
$97$	−6.40116	+	3.69571i	−0.649940	+	0.375243i	0.138493	+	0.990363i	$0.455774\pi$
$98$	−6.24261	+	3.60417i	−0.630599	+	0.364076i
$99$	−4.87773	−	4.87773i	−0.490231	−	0.490231i
$100$	2.10417	+	4.53569i	0.210417	+	0.453569i
$101$	−9.73413	−	5.62000i	−0.968582	−	0.559211i	−0.0697785	−	0.997563i	$-0.522229\pi$
$101$	−9.73413	−	5.62000i	−0.968582	−	0.559211i	−0.898804	+	0.438351i	$0.855563\pi$
$102$	2.90110	−	5.02486i	0.287252	−	0.497535i
$103$	6.06688	+	6.06688i	0.597787	+	0.597787i	0.939723	−	0.341936i	$-0.111083\pi$
$103$	6.06688	+	6.06688i	0.597787	+	0.597787i	−0.341936	+	0.939723i	$0.611083\pi$
$104$	3.20480	+	1.65204i	0.314257	+	0.161996i
$105$	6.02682	−	5.51167i	0.588158	−	0.537884i
$106$	−0.220595	+	0.0591084i	−0.0214261	+	0.00574111i
$107$	−4.87543	+	1.30637i	−0.471326	+	0.126291i	−0.486661	−	0.873591i	$-0.661785\pi$
$107$	−4.87543	+	1.30637i	−0.471326	+	0.126291i	0.0153348	+	0.999882i	$0.495119\pi$
$108$	−1.26926	+	4.73695i	−0.122135	+	0.455813i
$109$	10.8955	−	10.8955i	1.04360	−	1.04360i	0.0445974	−	0.999005i	$-0.485799\pi$
$109$	10.8955	−	10.8955i	1.04360	−	1.04360i	0.999005	−	0.0445974i	$-0.0142005\pi$
$110$	−2.25743	+	7.13516i	−0.215237	+	0.680311i
$111$	−9.08332	−	2.43387i	−0.862150	−	0.231012i
$112$	−3.76940			−0.356174
$113$	0.865127	+	0.231810i	0.0813843	+	0.0218069i	0.299281	−	0.954165i	$-0.403253\pi$
$113$	0.865127	+	0.231810i	0.0813843	+	0.0218069i	−0.217897	+	0.975972i	$0.569920\pi$
$114$	1.24355	−	2.15390i	0.116469	−	0.201731i
$115$	−12.4115	+	2.73876i	−1.15738	+	0.255391i
$116$		−	1.90291i		−	0.176681i
$117$	−0.353879	−	7.42297i	−0.0327161	−	0.686254i
$118$	−0.0520941	+	0.0520941i	−0.00479565	+	0.00479565i
$119$	−5.84186	−	21.8021i	−0.535523	−	1.99860i
$120$	2.11578	−	0.466874i	0.193144	−	0.0426196i
$121$	−0.174331	+	0.100650i	−0.0158482	+	0.00914999i
$122$		−	1.41292i		−	0.127920i
$123$	−3.87357	−	6.70921i	−0.349268	−	0.604949i
$124$	0.978052	−	3.65014i	0.0878316	−	0.327792i
$125$	−11.0803	−	1.49203i	−0.991055	−	0.133452i
$126$	3.88455	+	6.72824i	0.346063	+	0.599399i
$127$	0.445069	+	1.66102i	0.0394935	+	0.147392i	0.982857	−	0.184369i	$-0.0590241\pi$
$127$	0.445069	+	1.66102i	0.0394935	+	0.147392i	−0.943364	+	0.331760i	$0.892357\pi$
$128$	−0.866025	−	0.500000i	−0.0765466	−	0.0441942i
$129$	1.62959			0.143477
$130$	−6.96991	+	4.05220i	−0.611302	+	0.355401i
$131$	11.0263			0.963372			0.481686	−	0.876344i	$-0.340025\pi$
$131$	11.0263			0.963372			0.481686	+	0.876344i	$0.340025\pi$
$132$	2.80850	+	1.62149i	0.244449	+	0.141133i
$133$	−2.50410	−	9.34545i	−0.217133	−	0.810353i
$134$	−2.95614	−	5.12018i	−0.255371	−	0.442316i
$135$	−7.40042	−	8.09211i	−0.636927	−	0.696458i
$136$	1.54981	−	5.78398i	0.132895	−	0.495972i
$137$	−5.55152	−	9.61552i	−0.474299	−	0.821509i	0.525268	−	0.850937i	$-0.323965\pi$
$137$	−5.55152	−	9.61552i	−0.474299	−	0.821509i	−0.999567	+	0.0294273i	$0.990632\pi$
$138$			5.50774i			0.468850i
$139$	12.4525	−	7.18944i	1.05620	−	0.609800i	0.131825	−	0.991273i	$-0.457916\pi$
$139$	12.4525	−	7.18944i	1.05620	−	0.609800i	0.924380	+	0.381473i	$0.124583\pi$
$140$	4.53569	−	7.10417i	0.383336	−	0.600412i
$141$	3.20247	+	11.9518i	0.269697	+	1.00652i
$142$	−6.20607	+	6.20607i	−0.520802	+	0.520802i
$143$	−11.7915	−	2.56462i	−0.986055	−	0.214464i
$144$			2.06110i			0.171758i
$145$	3.58642	+	2.28976i	0.297836	+	0.190154i
$146$	−3.13706	+	5.43355i	−0.259625	+	0.449684i
$147$	−6.74666	−	1.80776i	−0.556455	−	0.149102i
$148$	−9.70490			−0.797737
$149$	14.4978	+	3.88468i	1.18771	+	0.318246i	0.797980	−	0.602684i	$-0.205902\pi$
$149$	14.4978	+	3.88468i	1.18771	+	0.318246i	0.389729	+	0.920930i	$0.372569\pi$
$150$	−1.66599	+	4.54940i	−0.136027	+	0.371457i
$151$	3.58025	−	3.58025i	0.291357	−	0.291357i	−0.546259	−	0.837616i	$-0.683949\pi$
$151$	3.58025	−	3.58025i	0.291357	−	0.291357i	0.837616	+	0.546259i	$0.183949\pi$
$152$	0.664325	−	2.47930i	0.0538839	−	0.201097i
$153$	−11.9214	+	3.19432i	−0.963785	+	0.258245i
$154$	12.1857	−	3.26514i	0.981950	−	0.263113i
$155$	5.70253	+	6.23552i	0.458038	+	0.500849i
$156$	1.06390	+	3.32774i	0.0851801	+	0.266432i
$157$	3.59252	+	3.59252i	0.286714	+	0.286714i	0.835779	−	0.549065i	$-0.185016\pi$
$157$	3.59252	+	3.59252i	0.286714	+	0.286714i	−0.549065	+	0.835779i	$0.685016\pi$
$158$	−0.502711	+	0.870720i	−0.0399935	+	0.0692708i
$159$	−0.191643	−	0.110645i	−0.0151983	−	0.00877473i
$160$	1.98443	−	1.03055i	0.156883	−	0.0814721i
$161$	15.1503	+	15.1503i	1.19401	+	1.19401i
$162$	1.23965	−	0.715714i	0.0973964	−	0.0562318i
$163$	−3.47996	+	2.00916i	−0.272572	+	0.157369i	−0.630056	−	0.776550i	$-0.716968\pi$
$163$	−3.47996	+	2.00916i	−0.272572	+	0.157369i	0.357484	+	0.933919i	$0.383635\pi$
$164$	−5.65348	−	5.65348i	−0.441463	−	0.441463i
$165$	−6.43547	+	3.34205i	−0.501000	+	0.260178i
$166$	−9.50261	−	5.48633i	−0.737546	−	0.425822i
$167$	−0.261816	+	0.453479i	−0.0202599	+	0.0350912i	−0.875978	−	0.482352i	$-0.839783\pi$
$167$	−0.261816	+	0.453479i	−0.0202599	+	0.0350912i	0.855718	+	0.517443i	$0.173116\pi$
$168$	−2.58266	−	2.58266i	−0.199256	−	0.199256i
$169$	−7.54154	−	10.5889i	−0.580118	−	0.814532i
$170$	9.03618	+	9.88076i	0.693043	+	0.757820i
$171$	−5.11007	+	1.36924i	−0.390777	+	0.104708i
$172$	1.62447	−	0.435276i	0.123865	−	0.0331895i
$173$	−1.10622	+	4.12848i	−0.0841046	+	0.313883i	−0.995143	−	0.0984386i	$-0.968615\pi$
$173$	−1.10622	+	4.12848i	−0.0841046	+	0.313883i	0.911039	+	0.412321i	$0.135282\pi$
$174$	1.30381	−	1.30381i	0.0988414	−	0.0988414i
$175$	7.93146	+	17.0968i	0.599562	+	1.29240i
$176$	3.23279	+	0.866224i	0.243681	+	0.0652941i
$177$	−0.0713861			−0.00536571
$178$	−6.26494	−	1.67868i	−0.469577	−	0.125823i
$179$	−2.71932	+	4.71001i	−0.203252	+	0.352042i	−0.949574	−	0.313542i	$-0.898484\pi$
$179$	−2.71932	+	4.71001i	−0.203252	+	0.352042i	0.746323	+	0.665584i	$0.231818\pi$
$180$	−3.88455	−	2.48011i	−0.289537	−	0.184856i
$181$		−	25.0405i		−	1.86124i	−0.365981	−	0.930622i	$-0.619266\pi$
$181$		−	25.0405i		−	1.86124i	0.365981	−	0.930622i	$-0.380734\pi$
$182$	12.0802	+	6.22719i	0.895442	+	0.461590i
$183$	0.968084	−	0.968084i	0.0715628	−	0.0715628i
$184$	1.47116	+	5.49044i	0.108455	+	0.404761i
$185$	11.6778	−	18.2908i	0.858571	−	1.34477i
$186$	3.17107	−	1.83082i	0.232514	−	0.134242i
$187$			20.0409i			1.46554i
$188$	6.38483	+	11.0589i	0.465662	+	0.806550i
$189$	−4.78435	+	17.8554i	−0.348010	+	1.29879i
$190$	3.87334	+	4.23537i	0.281002	+	0.307266i
$191$	8.55328	+	14.8147i	0.618893	+	1.07195i	0.989688	+	0.143240i	$0.0457520\pi$
$191$	8.55328	+	14.8147i	0.618893	+	1.07195i	−0.370795	+	0.928715i	$0.620915\pi$
$192$	−0.250788	−	0.935952i	−0.0180990	−	0.0675465i
$193$	−1.15435	−	0.666465i	−0.0830920	−	0.0479732i	0.457878	−	0.889015i	$-0.348610\pi$
$193$	−1.15435	−	0.666465i	−0.0830920	−	0.0479732i	−0.540970	+	0.841042i	$0.681943\pi$
$194$	−7.39143			−0.530674
$195$	−7.55196	−	1.99911i	−0.540807	−	0.143159i
$196$	−7.20834			−0.514882
$197$	10.9348	+	6.31322i	0.779073	+	0.449798i	0.836102	−	0.548574i	$-0.184829\pi$
$197$	10.9348	+	6.31322i	0.779073	+	0.449798i	−0.0570286	+	0.998373i	$0.518163\pi$
$198$	−1.78537	−	6.66311i	−0.126881	−	0.473527i
$199$	7.39929	+	12.8159i	0.524522	+	0.908498i	0.999592	+	0.0285508i	$0.00908922\pi$
$199$	7.39929	+	12.8159i	0.524522	+	0.908498i	−0.475070	+	0.879948i	$0.657577\pi$
$200$	−0.445578	+	4.98011i	−0.0315071	+	0.352147i
$201$	1.48272	−	5.53360i	0.104583	−	0.390310i
$202$	−5.62000	−	9.73413i	−0.395422	−	0.684891i
$203$		−	7.17283i		−	0.503434i
$204$	5.02486	−	2.90110i	0.351810	−	0.203118i
$205$	17.4579	−	3.85231i	1.21931	−	0.269057i
$206$	2.22063	+	8.28751i	0.154719	+	0.577418i
$207$	8.28414	−	8.28414i	0.575788	−	0.575788i
$208$	1.94942	+	3.03311i	0.135168	+	0.210308i
$209$			8.59051i			0.594218i
$210$	7.97522	−	1.75983i	0.550342	−	0.121440i
$211$	−0.207952	+	0.360183i	−0.0143160	+	0.0247960i	−0.873095	−	0.487551i	$-0.837890\pi$
$211$	−0.207952	+	0.360183i	−0.0143160	+	0.0247960i	0.858779	+	0.512347i	$0.171224\pi$
$212$	−0.220595	−	0.0591084i	−0.0151506	−	0.00405958i
$213$	−8.50436			−0.582709
$214$	−4.87543	−	1.30637i	−0.333278	−	0.0893015i
$215$	−1.13435	+	3.58540i	−0.0773621	+	0.244522i
$216$	−3.46769	+	3.46769i	−0.235946	+	0.235946i
$217$	3.68666	−	13.7588i	0.250267	−	0.934009i
$218$	14.8836	−	3.98804i	1.00804	−	0.270104i
$219$	−5.87228	+	1.57347i	−0.396812	+	0.106325i
$220$	−5.52257	+	5.05052i	−0.372332	+	0.340506i
$221$	−14.5222	+	15.9762i	−0.976870	+	1.07467i
$222$	−6.64945	−	6.64945i	−0.446282	−	0.446282i
$223$	−10.6503	+	18.4469i	−0.713199	+	1.23530i	0.250451	+	0.968129i	$0.419421\pi$
$223$	−10.6503	+	18.4469i	−0.713199	+	1.23530i	−0.963650	+	0.267168i	$0.913912\pi$
$224$	−3.26439	−	1.88470i	−0.218111	−	0.125927i
$225$	9.34850	−	4.33691i	0.623233	−	0.289127i
$226$	0.633317	+	0.633317i	0.0421276	+	0.0421276i
$227$	0.735969	−	0.424912i	0.0488480	−	0.0282024i	−0.475377	−	0.879782i	$-0.657688\pi$
$227$	0.735969	−	0.424912i	0.0488480	−	0.0282024i	0.524225	+	0.851580i	$0.324355\pi$
$228$	2.15390	−	1.24355i	0.142645	−	0.0823563i
$229$	10.3192	+	10.3192i	0.681910	+	0.681910i	0.960430	−	0.278520i	$-0.0898438\pi$
$229$	10.3192	+	10.3192i	0.681910	+	0.681910i	−0.278520	+	0.960430i	$0.589844\pi$
$230$	−12.1181	−	3.83392i	−0.799042	−	0.252801i
$231$	10.5864	+	6.11203i	0.696531	+	0.402142i
$232$	0.951456	−	1.64797i	0.0624662	−	0.108195i
$233$	7.72238	+	7.72238i	0.505910	+	0.505910i	0.913268	−	0.407358i	$-0.133550\pi$
$233$	7.72238	+	7.72238i	0.505910	+	0.505910i	−0.407358	+	0.913268i	$0.633550\pi$
$234$	3.40502	−	6.60542i	0.222593	−	0.431810i
$235$	−28.5254	−	1.27356i	−1.86079	−	0.0830781i
$236$	−0.0711619	+	0.0190678i	−0.00463225	+	0.00124121i
$237$	−0.941026	+	0.252147i	−0.0611262	+	0.0163787i
$238$	5.84186	−	21.8021i	0.378672	−	1.41322i
$239$	11.9562	−	11.9562i	0.773382	−	0.773382i	−0.205314	−	0.978696i	$-0.565821\pi$
$239$	11.9562	−	11.9562i	0.773382	−	0.773382i	0.978696	+	0.205314i	$0.0658215\pi$
$240$	2.06576	+	0.653566i	0.133344	+	0.0421875i
$241$	−6.45727	−	1.73022i	−0.415949	−	0.111453i	0.0447740	−	0.998997i	$-0.485743\pi$
$241$	−6.45727	−	1.73022i	−0.415949	−	0.111453i	−0.460723	+	0.887544i	$0.652410\pi$
$242$	−0.201300			−0.0129400
$243$	15.5506	+	4.16677i	0.997571	+	0.267298i
$244$	0.706461	−	1.22363i	0.0452265	−	0.0783347i
$245$	8.67375	−	13.5855i	0.554146	−	0.867949i
$246$		−	7.74713i		−	0.493939i
$247$	−6.22492	+	6.84816i	−0.396082	+	0.435738i
$248$	2.67209	−	2.67209i	0.169678	−	0.169678i
$249$	−2.75181	−	10.2699i	−0.174389	−	0.650828i
$250$	−8.84984	−	6.83231i	−0.559713	−	0.432113i
$251$	1.61285	−	0.931179i	0.101802	−	0.0587755i	−0.448235	−	0.893916i	$-0.647947\pi$
$251$	1.61285	−	0.931179i	0.101802	−	0.0587755i	0.550037	+	0.835140i	$0.314614\pi$
$252$			7.76910i			0.489407i
$253$	−9.51191	−	16.4751i	−0.598009	−	1.03578i
$254$	−0.445069	+	1.66102i	−0.0279261	+	0.104222i
$255$	−0.578674	+	12.9612i	−0.0362380	+	0.811663i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	1.89347	+	7.06654i	0.118112	+	0.440798i	0.999501	−	0.0315923i	$-0.0100578\pi$
$257$	1.89347	+	7.06654i	0.118112	+	0.440798i	−0.881389	+	0.472391i	$0.843391\pi$
$258$	1.41127	+	0.814794i	0.0878615	+	0.0507269i
$259$	−36.5816			−2.27307
$260$	−8.06222	+	0.0243521i	−0.499998	+	0.00151025i
$261$	−3.92209			−0.242771
$262$	9.54905	+	5.51315i	0.589942	+	0.340603i
$263$	2.49732	+	9.32011i	0.153991	+	0.574703i	0.999190	+	0.0402501i	$0.0128155\pi$
$263$	2.49732	+	9.32011i	0.153991	+	0.574703i	−0.845199	+	0.534452i	$0.820518\pi$
$264$	1.62149	+	2.80850i	0.0997958	+	0.172851i
$265$	0.376842	−	0.344631i	0.0231492	−	0.0211705i
$266$	2.50410	−	9.34545i	0.153536	−	0.573006i
$267$	−3.14234	−	5.44269i	−0.192308	−	0.333087i
$268$		−	5.91227i		−	0.361149i
$269$	−12.1683	+	7.02534i	−0.741911	+	0.428343i	−0.822764	−	0.568383i	$-0.807569\pi$
$269$	−12.1683	+	7.02534i	−0.741911	+	0.428343i	0.0808524	+	0.996726i	$0.474236\pi$
$270$	−2.36290	−	10.7082i	−0.143801	−	0.651679i
$271$	−2.35927	−	8.80491i	−0.143315	−	0.534860i	−0.999825	−	0.0187284i	$-0.994038\pi$
$271$	−2.35927	−	8.80491i	−0.143315	−	0.534860i	0.856509	−	0.516132i	$-0.172628\pi$
$272$	4.23417	−	4.23417i	0.256734	−	0.256734i
$273$	4.01026	+	12.5436i	0.242712	+	0.759170i
$274$		−	11.1030i		−	0.670760i
$275$	−2.87343	−	16.4856i	−0.173274	−	0.994121i
$276$	−2.75387	+	4.76984i	−0.165764	+	0.287111i
$277$	−29.9702	−	8.03050i	−1.80074	−	0.482506i	−0.806644	−	0.591038i	$-0.798718\pi$
$277$	−29.9702	−	8.03050i	−1.80074	−	0.482506i	−0.994093	+	0.108532i	$0.965385\pi$
$278$	14.3789			0.862388
$279$	−7.52330	−	2.01586i	−0.450408	−	0.120687i
$280$	7.48011	−	3.88455i	0.447022	−	0.232146i
$281$	13.1242	−	13.1242i	0.782926	−	0.782926i	−0.197398	−	0.980323i	$-0.563249\pi$
$281$	13.1242	−	13.1242i	0.782926	−	0.782926i	0.980323	+	0.197398i	$0.0632490\pi$
$282$	−3.20247	+	11.9518i	−0.190705	+	0.711719i
$283$	−18.9760	+	5.08462i	−1.12801	+	0.302249i	−0.774120	−	0.633039i	$-0.781807\pi$
$283$	−18.9760	+	5.08462i	−1.12801	+	0.302249i	−0.353889	+	0.935288i	$0.615141\pi$
$284$	−8.47765	+	2.27158i	−0.503056	+	0.134793i
$285$	−0.248048	+	5.55580i	−0.0146931	+	0.329097i
$286$	−8.92943	−	8.11678i	−0.528008	−	0.479955i
$287$	−21.3102	−	21.3102i	−1.25790	−	1.25790i
$288$	−1.03055	+	1.78496i	−0.0607257	+	0.105180i
$289$	16.3301	+	9.42819i	0.960595	+	0.554600i
$290$	1.96105	+	3.77620i	0.115157	+	0.221746i
$291$	−5.06434	−	5.06434i	−0.296877	−	0.296877i
$292$	−5.43355	+	3.13706i	−0.317974	+	0.183583i
$293$	10.2305	−	5.90659i	0.597673	−	0.345066i	−0.170453	−	0.985366i	$-0.554523\pi$
$293$	10.2305	−	5.90659i	0.597673	−	0.345066i	0.768125	+	0.640299i	$0.221190\pi$
$294$	−4.93890	−	4.93890i	−0.288043	−	0.288043i
$295$	0.0496916	−	0.157063i	0.00289316	−	0.00914455i
$296$	−8.40469	−	4.85245i	−0.488512	−	0.282043i
$297$	8.20652	−	14.2141i	0.476190	−	0.824786i
$298$	10.6132	+	10.6132i	0.614804	+	0.614804i
$299$	4.35565	−	20.0262i	0.251894	−	1.15815i
$300$	−3.71749	+	3.10690i	−0.214629	+	0.179377i
$301$	6.12327	−	1.64073i	0.352940	−	0.0945699i
$302$	4.89071	−	1.31046i	0.281429	−	0.0754086i
$303$	2.81885	−	10.5201i	0.161939	−	0.604364i
$304$	1.81497	−	1.81497i	0.104096	−	0.104096i
$305$	1.45609	+	2.80385i	0.0833753	+	0.160548i
$306$	−11.9214	−	3.19432i	−0.681499	−	0.182607i
$307$	24.7453			1.41229			0.706145	−	0.708067i	$-0.250432\pi$
$307$	24.7453			1.41229			0.706145	+	0.708067i	$0.250432\pi$
$308$	12.1857	+	3.26514i	0.694343	+	0.186049i
$309$	−4.15681	+	7.19980i	−0.236473	+	0.409583i
$310$	1.82077	+	8.25138i	0.103413	+	0.468647i
$311$			29.8468i			1.69246i	0.532818	+	0.846230i	$0.321133\pi$
$311$			29.8468i			1.69246i	−0.532818	+	0.846230i	$0.678867\pi$
$312$	−0.742504	+	3.41385i	−0.0420360	+	0.193271i
$313$	19.6954	−	19.6954i	1.11325	−	1.11325i	0.120543	−	0.992708i	$-0.461537\pi$
$313$	19.6954	−	19.6954i	1.11325	−	1.11325i	0.992708	−	0.120543i	$-0.0384635\pi$
$314$	1.31495	+	4.90747i	0.0742071	+	0.276945i
$315$	−14.6424	−	9.34850i	−0.825006	−	0.526728i
$316$	−0.870720	+	0.502711i	−0.0489819	+	0.0282797i
$317$			25.5982i			1.43774i	0.695147	+	0.718868i	$0.255339\pi$
$317$			25.5982i			1.43774i	−0.695147	+	0.718868i	$0.744661\pi$
$318$	−0.110645	−	0.191643i	−0.00620467	−	0.0107468i
$319$	−1.64835	+	6.15172i	−0.0922899	+	0.344430i
$320$	2.23384	+	0.0997335i	0.124876	+	0.00557527i
$321$	−2.44540	−	4.23555i	−0.136489	−	0.236405i
$322$	5.54538	+	20.6957i	0.309032	+	1.15332i
$323$	13.3106	+	7.68489i	0.740623	+	0.427599i
$324$	1.43143			0.0795238
$325$	9.65532	−	15.2242i	0.535581	−	0.844484i
$326$	−4.01831			−0.222554
$327$	12.9302	+	7.46523i	0.715039	+	0.412828i
$328$	−2.06932	−	7.72280i	−0.114259	−	0.426420i
$329$	24.0670	+	41.6852i	1.32685	+	2.29818i
$330$	−7.24430	−	0.323433i	−0.398786	−	0.0178044i
$331$	7.72840	−	28.8428i	0.424791	−	1.58534i	−0.339587	−	0.940575i	$-0.610287\pi$
$331$	7.72840	−	28.8428i	0.424791	−	1.58534i	0.764378	−	0.644768i	$-0.223046\pi$
$332$	−5.48633	−	9.50261i	−0.301102	−	0.521524i
$333$			20.0028i			1.09614i
$334$	−0.453479	+	0.261816i	−0.0248132	+	0.0143259i
$335$	11.1428	+	7.11419i	0.608799	+	0.388690i
$336$	−0.945318	−	3.52797i	−0.0515713	−	0.192467i
$337$	−7.54366	+	7.54366i	−0.410930	+	0.410930i	−0.882062	−	0.471133i	$-0.843845\pi$
$337$	−7.54366	+	7.54366i	−0.410930	+	0.410930i	0.471133	+	0.882062i	$0.343845\pi$
$338$	−1.23670	−	12.9410i	−0.0672677	−	0.703900i
$339$			0.867853i			0.0471353i
$340$	2.88518	+	13.0751i	0.156471	+	0.709096i
$341$	−6.32368	+	10.9529i	−0.342446	+	0.593135i
$342$	−5.11007	−	1.36924i	−0.276321	−	0.0740400i
$343$	−0.785328			−0.0424037
$344$	1.62447	+	0.435276i	0.0875856	+	0.0234685i
$345$	−5.67600	−	10.9297i	−0.305586	−	0.588437i
$346$	−3.02226	+	3.02226i	−0.162478	+	0.162478i
$347$	−3.61254	+	13.4822i	−0.193931	+	0.723761i	0.798610	+	0.601849i	$0.205569\pi$
$347$	−3.61254	+	13.4822i	−0.193931	+	0.723761i	−0.992541	+	0.121912i	$0.961097\pi$
$348$	1.78104	−	0.477227i	0.0954735	−	0.0255820i
$349$	−17.5068	+	4.69093i	−0.937117	+	0.251100i	−0.694887	−	0.719119i	$-0.744546\pi$
$349$	−17.5068	+	4.69093i	−0.937117	+	0.251100i	−0.242230	+	0.970219i	$0.577879\pi$
$350$	−1.67956	+	18.7720i	−0.0897762	+	1.00341i
$351$	16.8420	−	5.38450i	0.898960	−	0.287403i
$352$	2.36657	+	2.36657i	0.126139	+	0.126139i
$353$	17.8049	−	30.8390i	0.947659	−	1.64139i	0.197321	−	0.980339i	$-0.436776\pi$
$353$	17.8049	−	30.8390i	0.947659	−	1.64139i	0.750338	−	0.661055i	$-0.229891\pi$
$354$	−0.0618222	−	0.0356931i	−0.00328581	−	0.00189706i
$355$	5.91986	−	18.7112i	0.314193	−	0.993087i
$356$	−4.58625	−	4.58625i	−0.243071	−	0.243071i
$357$	18.9407	−	10.9354i	1.00245	−	0.578763i
$358$	−4.71001	+	2.71932i	−0.248932	+	0.143721i
$359$	−17.1235	−	17.1235i	−0.903743	−	0.903743i	0.0920146	−	0.995758i	$-0.470669\pi$
$359$	−17.1235	−	17.1235i	−0.903743	−	0.903743i	−0.995758	+	0.0920146i	$0.970669\pi$
$360$	−2.12407	−	4.09011i	−0.111948	−	0.215568i
$361$	−10.7489	−	6.20588i	−0.565732	−	0.326625i
$362$	12.5202	−	21.6857i	0.658049	−	1.13978i
$363$	−0.137923	−	0.137923i	−0.00723910	−	0.00723910i
$364$	7.34814	+	11.4330i	0.385147	+	0.599251i
$365$	0.625740	−	14.0154i	0.0327527	−	0.733600i
$366$	1.32243	−	0.354343i	0.0691244	−	0.0185218i
$367$	−18.4185	+	4.93521i	−0.961436	+	0.257616i	−0.705208	−	0.709001i	$-0.749146\pi$
$367$	−18.4185	+	4.93521i	−0.961436	+	0.257616i	−0.256228	+	0.966616i	$0.582480\pi$
$368$	−1.47116	+	5.49044i	−0.0766895	+	0.286209i
$369$	−11.6524	+	11.6524i	−0.606599	+	0.606599i
$370$	19.2587	−	10.0014i	1.00121	−	0.519947i
$371$	−0.831511	−	0.222803i	−0.0431699	−	0.0115673i
$372$	3.66164			0.189847
$373$	2.12081	+	0.568269i	0.109811	+	0.0294238i	0.313306	−	0.949652i	$-0.398563\pi$
$373$	2.12081	+	0.568269i	0.109811	+	0.0294238i	−0.203495	+	0.979076i	$0.565230\pi$
$374$	−10.0205	+	17.3559i	−0.518145	+	0.897454i
$375$	−1.38234	−	10.7448i	−0.0713837	−	0.554861i
$376$			12.7697i			0.658545i
$377$	−5.77174	+	3.70958i	−0.297260	+	0.191053i
$378$	−13.0711	+	13.0711i	−0.672304	+	0.672304i
$379$	9.87456	+	36.8524i	0.507222	+	1.89298i	0.446407	+	0.894830i	$0.352703\pi$
$379$	9.87456	+	36.8524i	0.507222	+	1.89298i	0.0608148	+	0.998149i	$0.480630\pi$
$380$	1.23673	+	5.60461i	0.0634429	+	0.287510i
$381$	−1.44302	+	0.833126i	−0.0739280	+	0.0426823i
$382$			17.1066i			0.875247i
$383$	5.58839	+	9.67938i	0.285554	+	0.494593i	0.972743	−	0.231885i	$-0.0744892\pi$
$383$	5.58839	+	9.67938i	0.285554	+	0.494593i	−0.687190	+	0.726478i	$0.741156\pi$
$384$	0.250788	−	0.935952i	0.0127980	−	0.0477626i
$385$	−20.8167	+	19.0374i	−1.06092	+	0.970236i
$386$	−0.666465	−	1.15435i	−0.0339222	−	0.0587549i
$387$	−0.897146	−	3.34820i	−0.0456045	−	0.170198i
$388$	−6.40116	−	3.69571i	−0.324970	−	0.187621i
$389$	−16.5075			−0.836962			−0.418481	−	0.908226i	$-0.637437\pi$
$389$	−16.5075			−0.836962			−0.418481	+	0.908226i	$0.637437\pi$
$390$	−5.54063	−	5.50726i	−0.280561	−	0.278871i
$391$	−34.0367			−1.72131
$392$	−6.24261	−	3.60417i	−0.315299	−	0.182038i
$393$	2.76526	+	10.3201i	0.139489	+	0.520579i
$394$	6.31322	+	10.9348i	0.318055	+	0.550888i
$395$	0.100274	−	2.24595i	0.00504534	−	0.113006i
$396$	1.78537	−	6.66311i	0.0897185	−	0.334834i
$397$	−1.36368	−	2.36196i	−0.0684410	−	0.118543i	0.829774	−	0.558099i	$-0.188469\pi$
$397$	−1.36368	−	2.36196i	−0.0684410	−	0.118543i	−0.898215	+	0.439556i	$0.855136\pi$
$398$			14.7986i			0.741786i
$399$	8.11889	−	4.68744i	0.406453	−	0.234666i
$400$	−2.87593	+	4.09011i	−0.143797	+	0.204505i
$401$	−6.10489	−	22.7837i	−0.304863	−	1.13777i	−0.933063	−	0.359714i	$-0.882874\pi$
$401$	−6.10489	−	22.7837i	−0.304863	−	1.13777i	0.628199	−	0.778052i	$-0.283792\pi$
$402$	4.05088	−	4.05088i	0.202039	−	0.202039i
$403$	−12.9779	+	4.14912i	−0.646476	+	0.206683i
$404$		−	11.2400i		−	0.559211i
$405$	−1.72243	+	2.69781i	−0.0855881	+	0.134055i
$406$	3.58642	−	6.21185i	0.177991	−	0.308289i
$407$	31.3739	+	8.40662i	1.55515	+	0.416701i
$408$	5.80221			0.287252
$409$	−18.4071	−	4.93216i	−0.910172	−	0.243880i	−0.226792	−	0.973943i	$-0.572824\pi$
$409$	−18.4071	−	4.93216i	−0.910172	−	0.243880i	−0.683380	+	0.730063i	$0.739491\pi$
$410$	17.0451	+	5.39275i	0.841800	+	0.266329i
$411$	7.60741	−	7.60741i	0.375246	−	0.375246i
$412$	−2.22063	+	8.28751i	−0.109403	+	0.408296i
$413$	−0.268237	+	0.0718740i	−0.0131991	+	0.00353669i
$414$	11.3164	−	3.03221i	0.556168	−	0.149025i
$415$	24.5112	+	1.09434i	1.20321	+	0.0537191i
$416$	0.171694	+	3.60146i	0.00841801	+	0.176576i
$417$	9.85189	+	9.85189i	0.482449	+	0.482449i
$418$	−4.29525	+	7.43960i	−0.210088	+	0.363883i
$419$	19.0952	+	11.0246i	0.932860	+	0.538587i	0.887715	−	0.460394i	$-0.152292\pi$
$419$	19.0952	+	11.0246i	0.932860	+	0.538587i	0.0451450	+	0.998980i	$0.485625\pi$
$420$	7.78666	+	2.46355i	0.379950	+	0.120209i
$421$	17.6167	+	17.6167i	0.858587	+	0.858587i	0.991172	−	0.132585i	$-0.0423277\pi$
$421$	17.6167	+	17.6167i	0.858587	+	0.858587i	−0.132585	+	0.991172i	$0.542328\pi$
$422$	−0.360183	+	0.207952i	−0.0175335	+	0.0101229i
$423$	22.7934	−	13.1598i	1.10825	−	0.639850i
$424$	−0.161487	−	0.161487i	−0.00784250	−	0.00784250i
$425$	−28.1143	−	10.2955i	−1.36374	−	0.499403i
$426$	−7.36499	−	4.25218i	−0.356835	−	0.206019i
$427$	2.66293	−	4.61233i	0.128868	−	0.223206i
$428$	−3.56907	−	3.56907i	−0.172517	−	0.172517i
$429$	−0.556801	−	11.6795i	−0.0268826	−	0.563890i
$430$	−2.77508	+	2.53787i	−0.133826	+	0.122387i
$431$	9.74474	−	2.61110i	0.469388	−	0.125772i	−0.0163692	−	0.999866i	$-0.505211\pi$
$431$	9.74474	−	2.61110i	0.469388	−	0.125772i	0.485757	+	0.874094i	$0.338544\pi$
$432$	−4.73695	+	1.26926i	−0.227906	+	0.0610673i
$433$	4.89662	−	18.2745i	0.235317	−	0.878214i	−0.742689	−	0.669636i	$-0.766450\pi$
$433$	4.89662	−	18.2745i	0.235317	−	0.878214i	0.978006	−	0.208578i	$-0.0668834\pi$
$434$	10.0722	−	10.0722i	0.483479	−	0.483479i
$435$	−1.24368	+	3.93096i	−0.0596298	+	0.188475i
$436$	14.8836	+	3.98804i	0.712794	+	0.190993i
$437$	−14.5898			−0.697923
$438$	−5.87228	−	1.57347i	−0.280588	−	0.0751834i
$439$	13.5840	−	23.5282i	0.648330	−	1.12294i	−0.335192	−	0.942150i	$-0.608801\pi$
$439$	13.5840	−	23.5282i	0.648330	−	1.12294i	0.983522	−	0.180790i	$-0.0578656\pi$
$440$	−7.30794	+	1.61259i	−0.348393	+	0.0768773i
$441$			14.8571i			0.707481i
$442$	−20.5647	+	6.57467i	−0.978163	+	0.312725i
$443$	−19.9911	+	19.9911i	−0.949806	+	0.949806i	−0.998799	−	0.0489927i	$-0.984399\pi$
$443$	−19.9911	+	19.9911i	−0.949806	+	0.949806i	0.0489927	+	0.998799i	$0.484399\pi$
$444$	−2.43387	−	9.08332i	−0.115506	−	0.431075i
$445$	14.1623	−	3.12509i	0.671358	−	0.148144i
$446$	−18.4469	+	10.6503i	−0.873487	+	0.504308i
$447$			14.5435i			0.687885i
$448$	−1.88470	−	3.26439i	−0.0890436	−	0.154228i
$449$	1.08744	−	4.05839i	0.0513195	−	0.191527i	−0.935507	−	0.353307i	$-0.885057\pi$
$449$	1.08744	−	4.05839i	0.0513195	−	0.191527i	0.986827	+	0.161780i	$0.0517236\pi$
$450$	10.2645	+	0.918380i	0.483873	+	0.0432928i
$451$	13.3794	+	23.1737i	0.630009	+	1.09121i
$452$	0.231810	+	0.865127i	0.0109034	+	0.0406922i
$453$	4.24882	+	2.45306i	0.199627	+	0.115255i
$454$	0.849823			0.0398842
$455$	−30.3897	+	0.0917927i	−1.42469	+	0.00430331i
$456$	2.48711			0.116469
$457$	−13.0847	−	7.55444i	−0.612075	−	0.353382i	0.161702	−	0.986840i	$-0.448302\pi$
$457$	−13.0847	−	7.55444i	−0.612075	−	0.353382i	−0.773777	+	0.633458i	$0.781635\pi$
$458$	3.77708	+	14.0963i	0.176491	+	0.658675i
$459$	−14.6828	−	25.4313i	−0.685333	−	1.18703i
$460$	−8.57759	−	9.37931i	−0.399932	−	0.437312i
$461$	3.74467	−	13.9753i	0.174407	−	0.650894i	−0.822245	−	0.569133i	$-0.807279\pi$
$461$	3.74467	−	13.9753i	0.174407	−	0.650894i	0.996652	−	0.0817610i	$-0.0260544\pi$
$462$	6.11203	+	10.5864i	0.284358	+	0.492522i
$463$		−	35.4588i		−	1.64791i	−0.566655	−	0.823955i	$-0.691763\pi$
$463$		−	35.4588i		−	1.64791i	0.566655	−	0.823955i	$-0.308237\pi$
$464$	1.64797	−	0.951456i	0.0765051	−	0.0441703i
$465$	−4.40602	+	6.90108i	−0.204324	+	0.320030i
$466$	2.82659	+	10.5490i	0.130939	+	0.488672i
$467$	3.89534	−	3.89534i	0.180255	−	0.180255i	−0.611212	−	0.791467i	$-0.709318\pi$
$467$	3.89534	−	3.89534i	0.180255	−	0.180255i	0.791467	+	0.611212i	$0.209318\pi$
$468$	6.25154	−	4.01795i	0.288978	−	0.185730i
$469$		−	22.2857i		−	1.02906i
$470$	−24.0670	−	15.3656i	−1.11013	−	0.708765i
$471$	−2.46147	+	4.26338i	−0.113418	+	0.196446i
$472$	−0.0711619	−	0.0190678i	−0.00327549	−	0.000877666i
$473$	−5.62863			−0.258804
$474$	−0.941026	−	0.252147i	−0.0432228	−	0.0115815i
$475$	−12.0511	−	4.41313i	−0.552945	−	0.202488i
$476$	15.9603	−	15.9603i	0.731537	−	0.731537i
$477$	−0.121828	+	0.454669i	−0.00557813	+	0.0208179i
$478$	16.3325	−	4.37627i	0.747030	−	0.200166i
$479$	4.24157	−	1.13652i	0.193802	−	0.0519291i	−0.160612	−	0.987018i	$-0.551347\pi$
$479$	4.24157	−	1.13652i	0.193802	−	0.0519291i	0.354414	+	0.935088i	$0.384680\pi$
$480$	1.46222	+	1.59888i	0.0667407	+	0.0729787i
$481$	18.9189	+	29.4360i	0.862629	+	1.34217i
$482$	−4.72705	−	4.72705i	−0.215311	−	0.215311i
$483$	−10.3804	+	17.9794i	−0.472326	+	0.818092i
$484$	−0.174331	−	0.100650i	−0.00792412	−	0.00457499i
$485$	14.6678	−	7.61723i	0.666030	−	0.345881i
$486$	11.3838	+	11.3838i	0.516381	+	0.516381i
$487$	31.4378	−	18.1506i	1.42458	−	0.822483i	0.427897	−	0.903827i	$-0.359255\pi$
$487$	31.4378	−	18.1506i	1.42458	−	0.822483i	0.996686	+	0.0813440i	$0.0259212\pi$
$488$	1.22363	−	0.706461i	0.0553910	−	0.0319800i
$489$	−2.75320	−	2.75320i	−0.124504	−	0.124504i
$490$	14.3045	−	7.42856i	0.646210	−	0.335588i
$491$	10.4424	+	6.02891i	0.471258	+	0.272081i	0.716766	−	0.697314i	$-0.245622\pi$
$491$	10.4424	+	6.02891i	0.471258	+	0.272081i	−0.245508	+	0.969394i	$0.578955\pi$
$492$	3.87357	−	6.70921i	0.174634	−	0.302475i
$493$	8.05726	+	8.05726i	0.362881	+	0.362881i
$494$	−8.81502	+	2.81822i	−0.396607	+	0.126798i
$495$	10.4096	+	11.3826i	0.467878	+	0.511608i
$496$	3.65014	−	0.978052i	0.163896	−	0.0439158i
$497$	−31.9556	+	8.56248i	−1.43341	+	0.384080i
$498$	2.75181	−	10.2699i	0.123312	−	0.460205i
$499$	10.5682	−	10.5682i	0.473096	−	0.473096i	−0.429819	−	0.902915i	$-0.641423\pi$
$499$	10.5682	−	10.5682i	0.473096	−	0.473096i	0.902915	+	0.429819i	$0.141423\pi$
$500$	−4.24803	−	10.3419i	−0.189978	−	0.462502i
$501$	−0.490094	−	0.131320i	−0.0218958	−	0.00586696i
$502$	1.86236			0.0831211
$503$	−38.4875	−	10.3127i	−1.71607	−	0.459821i	−0.739173	−	0.673515i	$-0.764784\pi$
$503$	−38.4875	−	10.3127i	−1.71607	−	0.459821i	−0.976900	+	0.213695i	$0.931450\pi$
$504$	−3.88455	+	6.72824i	−0.173032	+	0.299699i
$505$	21.1840	+	13.5250i	0.942676	+	0.601856i
$506$		−	19.0238i		−	0.845712i
$507$	8.01940	−	9.71409i	0.356154	−	0.431418i
$508$	−1.21595	+	1.21595i	−0.0539491	+	0.0539491i
$509$	2.74312	+	10.2375i	0.121587	+	0.453768i	0.999695	−	0.0246939i	$-0.00786111\pi$
$509$	2.74312	+	10.2375i	0.121587	+	0.453768i	−0.878108	+	0.478462i	$0.841194\pi$
$510$	−6.98175	+	10.9354i	−0.309157	+	0.484228i
$511$	−20.4812	+	11.8248i	−0.906035	+	0.523099i
$512$		−	1.00000i		−	0.0441942i
$513$	−6.29375	−	10.9011i	−0.277876	−	0.481295i
$514$	−1.89347	+	7.06654i	−0.0835175	+	0.311692i
$515$	−12.9474	−	14.1575i	−0.570530	−	0.623855i
$516$	0.814794	+	1.41127i	0.0358693	+	0.0621275i
$517$	−11.0614	−	41.2817i	−0.486480	−	1.81557i
$518$	−31.6806	−	18.2908i	−1.39197	−	0.803651i
$519$	−4.14149			−0.181791
$520$	−6.99426	−	4.01002i	−0.306719	−	0.175851i
$521$	−12.2302			−0.535814			−0.267907	−	0.963445i	$-0.586332\pi$
$521$	−12.2302			−0.535814			−0.267907	+	0.963445i	$0.586332\pi$
$522$	−3.39663	−	1.96105i	−0.148667	−	0.0858327i
$523$	−1.18942	−	4.43896i	−0.0520096	−	0.194102i	0.935033	−	0.354561i	$-0.115370\pi$
$523$	−1.18942	−	4.43896i	−0.0520096	−	0.194102i	−0.987043	+	0.160458i	$0.948703\pi$
$524$	5.51315	+	9.54905i	0.240843	+	0.417152i
$525$	−14.0127	+	11.7111i	−0.611563	+	0.511116i
$526$	−2.49732	+	9.32011i	−0.108888	+	0.406376i
$527$	11.3141	+	19.5965i	0.492849	+	0.853639i
$528$			3.24298i			0.141133i
$529$	8.06209	−	4.65465i	0.350525	−	0.202376i
$530$	0.498670	−	0.110038i	0.0216609	−	0.00477975i
$531$	0.0393006	+	0.146672i	0.00170550	+	0.00636501i
$532$	6.84134	−	6.84134i	0.296610	−	0.296610i
$533$	−6.12661	+	28.1687i	−0.265373	+	1.22012i
$534$		−	6.28467i		−	0.271964i
$535$	11.0212	−	2.43198i	0.476490	−	0.105144i
$536$	2.95614	−	5.12018i	0.127686	−	0.221158i
$537$	−5.09031	−	1.36395i	−0.219663	−	0.0588586i
$538$	−14.0507			−0.605768
$539$	23.3031	+	6.24404i	1.00373	+	0.268950i
$540$	3.30776	−	10.4550i	0.142343	−	0.449912i
$541$	−20.2210	+	20.2210i	−0.869369	+	0.869369i	−0.992403	−	0.123033i	$-0.960738\pi$
$541$	−20.2210	+	20.2210i	−0.869369	+	0.869369i	0.123033	+	0.992403i	$0.460738\pi$
$542$	2.35927	−	8.80491i	0.101339	−	0.378203i
$543$	23.4367	−	6.27984i	1.00577	−	0.269494i
$544$	5.78398	−	1.54981i	0.247986	−	0.0664477i
$545$	−25.4255	+	23.2523i	−1.08911	+	0.996017i
$546$	−2.79879	+	12.8682i	−0.119777	+	0.550707i
$547$	−5.66614	−	5.66614i	−0.242267	−	0.242267i	0.575521	−	0.817787i	$-0.304799\pi$
$547$	−5.66614	−	5.66614i	−0.242267	−	0.242267i	−0.817787	+	0.575521i	$0.804799\pi$
$548$	5.55152	−	9.61552i	0.237149	−	0.410755i
$549$	−2.52202	−	1.45609i	−0.107637	−	0.0621443i
$550$	5.75435	−	15.7137i	0.245366	−	0.670034i
$551$	3.45373	+	3.45373i	0.147134	+	0.147134i
$552$	−4.76984	+	2.75387i	−0.203018	+	0.117213i
$553$	−3.28209	+	1.89492i	−0.139569	+	0.0805800i
$554$	−21.9397	−	21.9397i	−0.932130	−	0.932130i
$555$	20.0480	+	6.34279i	0.850989	+	0.269236i
$556$	12.4525	+	7.18944i	0.528102	+	0.304900i
$557$	−8.12362	+	14.0705i	−0.344209	+	0.596187i	−0.985210	−	0.171353i	$-0.945186\pi$
$557$	−8.12362	+	14.0705i	−0.344209	+	0.596187i	0.641001	+	0.767540i	$0.278520\pi$
$558$	−5.50744	−	5.50744i	−0.233148	−	0.233148i
$559$	−4.48702	−	4.07866i	−0.189781	−	0.172509i
$560$	8.42024	+	0.375935i	0.355820	+	0.0158861i
$561$	−18.7573	+	5.02601i	−0.791935	+	0.212198i
$562$	17.9280	−	4.80380i	0.756248	−	0.202636i
$563$	−0.232891	+	0.869162i	−0.00981520	+	0.0366308i	−0.970660	−	0.240457i	$-0.922703\pi$
$563$	−0.232891	+	0.869162i	−0.00981520	+	0.0366308i	0.960845	+	0.277088i	$0.0893693\pi$
$564$	−8.74932	+	8.74932i	−0.368413	+	0.368413i
$565$	−1.90944	−	0.604110i	−0.0803307	−	0.0254151i
$566$	−18.9760	−	5.08462i	−0.797623	−	0.213722i
$567$	5.39562			0.226595
$568$	−8.47765	−	2.27158i	−0.355714	−	0.0953134i
$569$	12.6918	−	21.9829i	0.532070	−	0.921572i	−0.467229	−	0.884136i	$-0.654748\pi$
$569$	12.6918	−	21.9829i	0.532070	−	0.921572i	0.999299	−	0.0374357i	$-0.0119189\pi$
$570$	−2.99272	+	4.68744i	−0.125351	+	0.196335i
$571$		−	29.2572i		−	1.22438i	−0.790713	−	0.612188i	$-0.790290\pi$
$571$		−	29.2572i		−	1.22438i	0.790713	−	0.612188i	$-0.209710\pi$
$572$	−3.67473	−	11.4941i	−0.153648	−	0.480591i
$573$	−11.7208	+	11.7208i	−0.489644	+	0.489644i
$574$	−7.80008	−	29.1103i	−0.325569	−	1.21504i
$575$	27.9985	−	4.88011i	1.16762	−	0.203515i
$576$	−1.78496	+	1.03055i	−0.0743735	+	0.0429396i
$577$		−	13.2800i		−	0.552855i	−0.961035	−	0.276427i	$-0.910850\pi$
$577$		−	13.2800i		−	0.552855i	0.961035	−	0.276427i	$-0.0891505\pi$
$578$	9.42819	+	16.3301i	0.392161	+	0.679243i
$579$	0.334282	−	1.24756i	0.0138923	−	0.0518467i
$580$	−0.189784	+	4.25081i	−0.00788035	+	0.176505i
$581$	−20.6802	−	35.8191i	−0.857958	−	1.48603i
$582$	−1.85368	−	6.91802i	−0.0768374	−	0.286761i
$583$	0.661938	+	0.382170i	0.0274147	+	0.0158279i
$584$	−6.27412			−0.259625
$585$	0.0501921	+	16.6170i	0.00207519	+	0.687030i
$586$	11.8132			0.487998
$587$	−9.94923	−	5.74419i	−0.410649	−	0.237088i	0.280420	−	0.959877i	$-0.409526\pi$
$587$	−9.94923	−	5.74419i	−0.410649	−	0.237088i	−0.691068	+	0.722789i	$0.742860\pi$
$588$	−1.80776	−	6.74666i	−0.0745509	−	0.278228i
$589$	4.84976	+	8.40003i	0.199831	+	0.346117i
$590$	0.121566	−	0.111175i	0.00500478	−	0.00457698i
$591$	−3.16655	+	11.8177i	−0.130255	+	0.486117i
$592$	−4.85245	−	8.40469i	−0.199434	−	0.345430i
$593$			18.8105i			0.772455i	0.922404	+	0.386228i	$0.126222\pi$
$593$			18.8105i			0.772455i	−0.922404	+	0.386228i	$0.873778\pi$
$594$	14.2141	−	8.20652i	0.583212	−	0.336717i
$595$	10.8754	+	49.2851i	0.445848	+	2.02049i
$596$	3.88468	+	14.4978i	0.159123	+	0.593855i
$597$	−10.1395	+	10.1395i	−0.414981	+	0.414981i
$598$	13.7852	−	15.1654i	0.563719	−	0.620159i
$599$			21.8552i			0.892979i	0.894789	+	0.446489i	$0.147326\pi$
$599$			21.8552i			0.892979i	−0.894789	+	0.446489i	$0.852674\pi$
$600$	−4.77289	+	0.831910i	−0.194852	+	0.0339626i
$601$	13.4241	−	23.2512i	0.547581	−	0.948438i	−0.450859	−	0.892595i	$-0.648882\pi$
$601$	13.4241	−	23.2512i	0.547581	−	0.948438i	0.998440	−	0.0558427i	$-0.0177845\pi$
$602$	6.12327	+	1.64073i	0.249566	+	0.0668710i
$603$	−12.1858			−0.496243
$604$	4.89071	+	1.31046i	0.199000	+	0.0533219i
$605$	0.399465	−	0.207449i	0.0162406	−	0.00843402i
$606$	7.70125	−	7.70125i	0.312842	−	0.312842i
$607$	−5.75435	+	21.4755i	−0.233562	+	0.871665i	0.745230	+	0.666807i	$0.232340\pi$
$607$	−5.75435	+	21.4755i	−0.233562	+	0.871665i	−0.978792	+	0.204857i	$0.934327\pi$
$608$	2.47930	−	0.664325i	0.100549	−	0.0269419i
$609$	6.71343	−	1.79886i	0.272042	−	0.0728934i
$610$	−0.140916	+	3.15625i	−0.00570551	+	0.127793i
$611$	21.0960	−	40.9243i	0.853452	−	1.65562i
$612$	−8.72704	−	8.72704i	−0.352770	−	0.352770i
$613$	−8.52904	+	14.7727i	−0.344485	+	0.596665i	−0.985260	−	0.171064i	$-0.945280\pi$
$613$	−8.52904	+	14.7727i	−0.344485	+	0.596665i	0.640775	+	0.767728i	$0.278613\pi$
$614$	21.4301	+	12.3727i	0.864848	+	0.499320i
$615$	7.98380	+	15.3737i	0.321938	+	0.619925i
$616$	8.92054	+	8.92054i	0.359419	+	0.359419i
$617$	8.14197	−	4.70077i	0.327783	−	0.189246i	−0.327073	−	0.944999i	$-0.606062\pi$
$617$	8.14197	−	4.70077i	0.327783	−	0.189246i	0.654857	+	0.755753i	$0.272729\pi$
$618$	−7.19980	+	4.15681i	−0.289619	+	0.167211i
$619$	16.7802	+	16.7802i	0.674454	+	0.674454i	0.958740	−	0.284286i	$-0.0917564\pi$
$619$	16.7802	+	16.7802i	0.674454	+	0.674454i	−0.284286	+	0.958740i	$0.591756\pi$
$620$	−2.54885	+	8.05629i	−0.102364	+	0.323548i
$621$	24.1407	+	13.9376i	0.968731	+	0.559297i
$622$	−14.9234	+	25.8481i	−0.598375	+	1.03642i
$623$	−17.2874	−	17.2874i	−0.692605	−	0.692605i
$624$	−2.34995	+	2.58523i	−0.0940735	+	0.103492i
$625$	24.6029	+	4.43805i	0.984117	+	0.177522i
$626$	26.9044	−	7.20902i	1.07532	−	0.288131i
$627$	−8.04030	+	2.15439i	−0.321099	+	0.0860381i
$628$	−1.31495	+	4.90747i	−0.0524723	+	0.195829i
$629$	41.0922	−	41.0922i	1.63845	−	1.63845i
$630$	−8.00644	−	15.4172i	−0.318984	−	0.614238i
$631$	−21.0186	−	5.63191i	−0.836736	−	0.224203i	−0.185086	−	0.982722i	$-0.559256\pi$
$631$	−21.0186	−	5.63191i	−0.836736	−	0.224203i	−0.651650	+	0.758520i	$0.725923\pi$
$632$	−1.00542			−0.0399935
$633$	−0.389266	−	0.104304i	−0.0154719	−	0.00414569i
$634$	−12.7991	+	22.1687i	−0.508316	+	0.880430i
$635$	−0.828554	−	3.75484i	−0.0328802	−	0.149006i
$636$		−	0.221290i		−	0.00877473i
$637$	14.0521	+	21.8637i	0.556765	+	0.866271i
$638$	−4.50337	+	4.50337i	−0.178290	+	0.178290i
$639$	4.68195	+	17.4733i	0.185215	+	0.691232i
$640$	1.88470	+	1.20329i	0.0744992	+	0.0475643i
$641$	−22.9665	+	13.2597i	−0.907123	+	0.523728i	−0.879504	−	0.475891i	$-0.842126\pi$
$641$	−22.9665	+	13.2597i	−0.907123	+	0.523728i	−0.0276187	+	0.999619i	$0.508792\pi$
$642$		−	4.89079i		−	0.193024i
$643$	22.0108	+	38.1238i	0.868021	+	1.50346i	0.864016	+	0.503465i	$0.167942\pi$
$643$	22.0108	+	38.1238i	0.868021	+	1.50346i	0.00400518	+	0.999992i	$0.498725\pi$
$644$	−5.54538	+	20.6957i	−0.218519	+	0.815523i
$645$	−3.64024	−	0.162524i	−0.143334	−	0.00639940i
$646$	7.68489	+	13.3106i	0.302358	+	0.523699i
$647$	−9.51168	−	35.4981i	−0.373943	−	1.39557i	−0.854884	−	0.518820i	$-0.826371\pi$
$647$	−9.51168	−	35.4981i	−0.373943	−	1.39557i	0.480941	−	0.876753i	$-0.340295\pi$
$648$	1.23965	+	0.715714i	0.0486982	+	0.0281159i
$649$	0.246569			0.00967867
$650$	15.9738	−	8.35684i	0.626545	−	0.327782i
$651$	13.8022			0.540949
$652$	−3.47996	−	2.00916i	−0.136286	−	0.0786846i
$653$	−0.517213	−	1.93026i	−0.0202401	−	0.0755370i	0.955067	−	0.296390i	$-0.0957827\pi$
$653$	−0.517213	−	1.93026i	−0.0202401	−	0.0755370i	−0.975307	+	0.220853i	$0.929116\pi$
$654$	7.46523	+	12.9302i	0.291914	+	0.505609i
$655$	−24.6310	−	1.09969i	−0.962413	−	0.0429684i
$656$	2.06932	−	7.72280i	0.0807933	−	0.301525i
$657$	6.46579	+	11.1991i	0.252255	+	0.436918i
$658$			48.1339i			1.87646i
$659$	−19.8902	+	11.4836i	−0.774813	+	0.447339i	−0.834589	−	0.550873i	$-0.814295\pi$
$659$	−19.8902	+	11.4836i	−0.774813	+	0.447339i	0.0597757	+	0.998212i	$0.480961\pi$
$660$	−6.11203	−	3.90225i	−0.237911	−	0.151895i
$661$	−3.87382	−	14.4573i	−0.150674	−	0.562324i	−0.999437	−	0.0335500i	$-0.989319\pi$
$661$	−3.87382	−	14.4573i	−0.150674	−	0.562324i	0.848763	−	0.528774i	$-0.177348\pi$
$662$	21.1144	−	21.1144i	0.820634	−	0.820634i
$663$	−18.5949	−	9.58547i	−0.722167	−	0.372269i
$664$		−	10.9727i		−	0.425822i
$665$	4.66172	+	21.1260i	0.180774	+	0.819231i
$666$	−10.0014	+	17.3229i	−0.387545	+	0.671248i
$667$	−10.4478	−	2.79949i	−0.404542	−	0.108397i
$668$	−0.523632			−0.0202599
$669$	−19.9364	−	5.34194i	−0.770786	−	0.206531i
$670$	6.09289	+	11.7325i	0.235389	+	0.453266i
$671$	−3.34378	+	3.34378i	−0.129085	+	0.129085i
$672$	0.945318	−	3.52797i	0.0364664	−	0.136095i
$673$	−36.5932	+	9.80512i	−1.41056	+	0.377959i	−0.882126	−	0.471013i	$-0.843889\pi$
$673$	−36.5932	+	9.80512i	−1.41056	+	0.377959i	−0.528438	+	0.848972i	$0.677222\pi$
$674$	−10.3048	+	2.76117i	−0.396927	+	0.106356i
$675$	15.7243	+	18.8146i	0.605229	+	0.724173i
$676$	5.39951	−	11.8256i	0.207673	−	0.454832i
$677$	22.0487	+	22.0487i	0.847402	+	0.847402i	0.989808	−	0.142406i	$-0.0454840\pi$
$677$	22.0487	+	22.0487i	0.847402	+	0.847402i	−0.142406	+	0.989808i	$0.545484\pi$
$678$	−0.433926	+	0.751582i	−0.0166648	+	0.0288644i
$679$	−24.1285	−	13.9306i	−0.925968	−	0.534608i
$680$	−4.03890	+	12.7659i	−0.154885	+	0.489551i
$681$	0.582269	+	0.582269i	0.0223126	+	0.0223126i
$682$	−10.9529	+	6.32368i	−0.419410	+	0.242146i
$683$	10.3445	−	5.97242i	0.395822	−	0.228528i	−0.288857	−	0.957372i	$-0.593275\pi$
$683$	10.3445	−	5.97242i	0.395822	−	0.228528i	0.684680	+	0.728844i	$0.259942\pi$
$684$	−3.74083	−	3.74083i	−0.143034	−	0.143034i
$685$	11.4422	+	22.0332i	0.437186	+	0.841847i
$686$	−0.680114	−	0.392664i	−0.0259669	−	0.0149920i
$687$	−7.07033	+	12.2462i	−0.269750	+	0.467221i
$688$	1.18920	+	1.18920i	0.0453376	+	0.0453376i
$689$	0.250751	+	0.784317i	0.00955287	+	0.0298801i
$690$	0.549306	−	12.3034i	0.0209117	−	0.468384i
$691$	20.4037	−	5.46717i	0.776195	−	0.207981i	0.151088	−	0.988520i	$-0.451722\pi$
$691$	20.4037	−	5.46717i	0.776195	−	0.207981i	0.625106	+	0.780539i	$0.285056\pi$
$692$	−4.12848	+	1.10622i	−0.156941	+	0.0420523i
$693$	6.72978	−	25.1159i	0.255643	−	0.954074i
$694$	−9.86964	+	9.86964i	−0.374646	+	0.374646i
$695$	−28.5339	+	14.8181i	−1.08235	+	0.562084i
$696$	1.78104	+	0.477227i	0.0675100	+	0.0180892i
$697$	47.8756			1.81342
$698$	−17.5068	−	4.69093i	−0.662642	−	0.177554i
$699$	−5.29110	+	9.16446i	−0.200128	+	0.346632i
$700$	−10.8405	+	15.4172i	−0.409734	+	0.582717i
$701$		−	0.957439i		−	0.0361620i	−0.999837	−	0.0180810i	$-0.994244\pi$
$701$		−	0.957439i		−	0.0361620i	0.999837	−	0.0180810i	$-0.00575567\pi$
$702$	17.2779	+	3.75789i	0.652111	+	0.141832i
$703$	17.6141	−	17.6141i	0.664328	−	0.664328i
$704$	0.866224	+	3.23279i	0.0326471	+	0.121840i
$705$	−5.96183	−	27.0178i	−0.224535	−	1.01755i
$706$	30.8390	−	17.8049i	1.16064	−	0.670096i
$707$		−	42.3680i		−	1.59341i
$708$	−0.0356931	−	0.0618222i	−0.00134143	−	0.00232342i
$709$	5.03050	−	18.7741i	0.188924	−	0.705075i	−0.804832	−	0.593503i	$-0.797745\pi$
$709$	5.03050	−	18.7741i	0.188924	−	0.705075i	0.993756	−	0.111572i	$-0.0355887\pi$
$710$	14.4823	−	13.2444i	0.543513	−	0.497055i
$711$	1.03614	+	1.79464i	0.0388582	+	0.0673043i
$712$	−1.67868	−	6.26494i	−0.0629114	−	0.234788i
$713$	−18.6020	−	10.7399i	−0.696651	−	0.402212i
$714$	21.8708			0.818494
$715$	26.0846	+	6.90497i	0.975508	+	0.258231i
$716$	−5.43865			−0.203252
$717$	14.1889	+	8.19197i	0.529894	+	0.305935i
$718$	−6.26763	−	23.3911i	−0.233906	−	0.872949i
$719$	−5.39578	−	9.34577i	−0.201229	−	0.348538i	0.747696	−	0.664041i	$-0.231160\pi$
$719$	−5.39578	−	9.34577i	−0.201229	−	0.348538i	−0.948925	+	0.315503i	$0.897827\pi$
$720$	0.205561	−	4.60417i	0.00766079	−	0.171587i
$721$	−8.37044	+	31.2389i	−0.311731	+	1.16340i
$722$	−6.20588	−	10.7489i	−0.230959	−	0.400033i
$723$		−	6.47761i		−	0.240905i
$724$	21.6857	−	12.5202i	0.805943	−	0.465311i
$725$	−7.78312	−	5.47265i	−0.289058	−	0.203249i
$726$	−0.0504835	−	0.188407i	−0.00187362	−	0.00699244i
$727$	−4.31969	+	4.31969i	−0.160209	+	0.160209i	−0.782659	−	0.622451i	$-0.786137\pi$
$727$	−4.31969	+	4.31969i	−0.160209	+	0.160209i	0.622451	+	0.782659i	$0.286137\pi$
$728$	0.647184	+	13.5753i	0.0239862	+	0.503135i
$729$			11.3053i			0.418715i
$730$	7.54961	−	11.8248i	0.279423	−	0.437656i
$731$	−5.03525	+	8.72132i	−0.186236	+	0.322570i
$732$	1.32243	+	0.354343i	0.0488783	+	0.0130969i
$733$	16.0978			0.594587			0.297294	−	0.954786i	$-0.403916\pi$
$733$	16.0978			0.594587			0.297294	+	0.954786i	$0.403916\pi$
$734$	−18.4185	−	4.93521i	−0.679838	−	0.182162i
$735$	14.8907	+	4.71113i	0.549251	+	0.173773i
$736$	−4.01928	+	4.01928i	−0.148153	+	0.148153i
$737$	−5.12135	+	19.1132i	−0.188647	+	0.704042i
$738$	−15.9175	+	4.26507i	−0.585930	+	0.156999i
$739$	22.8615	−	6.12571i	0.840973	−	0.225338i	0.187478	−	0.982269i	$-0.439969\pi$
$739$	22.8615	−	6.12571i	0.840973	−	0.225338i	0.653495	+	0.756931i	$0.273302\pi$
$740$	21.6792	+	0.967903i	0.796944	+	0.0355808i
$741$	−7.97069	−	4.10880i	−0.292811	−	0.150940i
$742$	−0.608708	−	0.608708i	−0.0223464	−	0.0223464i
$743$	22.2396	−	38.5202i	0.815893	−	1.41317i	−0.0927914	−	0.995686i	$-0.529579\pi$
$743$	22.2396	−	38.5202i	0.815893	−	1.41317i	0.908685	−	0.417483i	$-0.137088\pi$
$744$	3.17107	+	1.83082i	0.116257	+	0.0671211i
$745$	−31.9985	−	10.1237i	−1.17233	−	0.370903i
$746$	1.55254	+	1.55254i	0.0568425	+	0.0568425i
$747$	−19.5858	+	11.3079i	−0.716608	+	0.413734i
$748$	−17.3559	+	10.0205i	−0.634596	+	0.366384i
$749$	−13.4532	−	13.4532i	−0.491570	−	0.491570i
$750$	4.17528	−	9.99648i	0.152460	−	0.365020i
$751$	−41.5824	−	24.0076i	−1.51736	−	0.876050i	−0.999792	−	0.0204104i	$-0.993503\pi$
$751$	−41.5824	−	24.0076i	−1.51736	−	0.876050i	−0.517572	−	0.855640i	$-0.673164\pi$
$752$	−6.38483	+	11.0589i	−0.232831	+	0.403275i
$753$	1.27602	+	1.27602i	0.0465008	+	0.0465008i
$754$	−6.85327	+	0.326719i	−0.249581	+	0.0118984i
$755$	−8.35478	+	7.64064i	−0.304062	+	0.278071i
$756$	−17.8554	+	4.78435i	−0.649396	+	0.174005i
$757$	8.00011	−	2.14362i	0.290769	−	0.0779113i	−0.110486	−	0.993878i	$-0.535241\pi$
$757$	8.00011	−	2.14362i	0.290769	−	0.0779113i	0.401255	+	0.915966i	$0.368574\pi$
$758$	−9.87456	+	36.8524i	−0.358660	+	1.33854i
$759$	13.0345	−	13.0345i	0.473121	−	0.473121i
$760$	−1.73127	+	5.47210i	−0.0627996	+	0.198494i
$761$	−0.0958134	−	0.0256731i	−0.00347323	−	0.000930650i	0.257082	−	0.966390i	$-0.417239\pi$
$761$	−0.0958134	−	0.0256731i	−0.00347323	−	0.000930650i	−0.260555	+	0.965459i	$0.583906\pi$
$762$	−1.66625			−0.0603619
$763$	56.1021	+	15.0325i	2.03103	+	0.544213i
$764$	−8.55328	+	14.8147i	−0.309447	+	0.535977i
$765$	26.9490	−	5.94665i	0.974344	−	0.215002i
$766$			11.1768i			0.403834i
$767$	0.196559	+	0.178671i	0.00709734	+	0.00645143i
$768$	0.685164	−	0.685164i	0.0247237	−	0.0247237i
$769$	−2.36151	−	8.81327i	−0.0851582	−	0.317815i	0.910186	−	0.414200i	$-0.135939\pi$
$769$	−2.36151	−	8.81327i	−0.0851582	−	0.317815i	−0.995344	+	0.0963852i	$0.969272\pi$
$770$	−27.5465	+	6.07850i	−0.992708	+	0.219054i
$771$	−6.13908	+	3.54440i	−0.221094	+	0.127648i
$772$		−	1.33293i		−	0.0479732i
$773$	5.87680	+	10.1789i	0.211374	+	0.366110i	0.952145	−	0.305648i	$-0.0988730\pi$
$773$	5.87680	+	10.1789i	0.211374	+	0.366110i	−0.740771	+	0.671758i	$0.765540\pi$
$774$	0.897146	−	3.34820i	0.0322473	−	0.120348i
$775$	−12.1167	−	14.4979i	−0.435243	−	0.520780i
$776$	−3.69571	−	6.40116i	−0.132668	−	0.229788i
$777$	−9.17421	−	34.2386i	−0.329123	−	1.22830i
$778$	−14.2959	−	8.25373i	−0.512532	−	0.295911i
$779$	20.5218			0.735270
$780$	−2.04470	−	7.53975i	−0.0732119	−	0.269966i
$781$	29.3742			1.05109
$782$	−29.4766	−	17.0183i	−1.05408	−	0.608574i
$783$	−2.41529	−	9.01400i	−0.0863155	−	0.322134i
$784$	−3.60417	−	6.24261i	−0.128720	−	0.222950i
$785$	−7.66682	−	8.38341i	−0.273641	−	0.299217i
$786$	−2.76526	+	10.3201i	−0.0986335	+	0.368105i
$787$	−13.0079	−	22.5303i	−0.463680	−	0.803118i	0.535460	−	0.844560i	$-0.320138\pi$
$787$	−13.0079	−	22.5303i	−0.463680	−	0.803118i	−0.999141	+	0.0414422i	$0.986805\pi$
$788$			12.6264i			0.449798i
$789$	−8.09688	+	4.67474i	−0.288257	+	0.166425i
$790$	1.20982	−	1.89492i	0.0430433	−	0.0674181i
$791$	0.873784	+	3.26101i	0.0310682	+	0.115948i
$792$	4.87773	−	4.87773i	0.173323	−	0.173323i
$793$	−5.08858	+	0.242591i	−0.180701	+	0.00861465i
$794$		−	2.72735i		−	0.0967902i
$795$	0.417065	+	0.266277i	0.0147918	+	0.00944388i
$796$	−7.39929	+	12.8159i	−0.262261	+	0.454249i
$797$	−20.1815	−	5.40761i	−0.714864	−	0.191547i	−0.116985	−	0.993134i	$-0.537323\pi$
$797$	−20.1815	−	5.40761i	−0.714864	−	0.191547i	−0.597879	+	0.801586i	$0.703990\pi$
$798$	9.37489			0.331867
$799$	−73.8595	−	19.7906i	−2.61296	−	0.700141i
$800$	−4.53569	+	2.10417i	−0.160361	+	0.0743937i
$801$	−9.45272	+	9.45272i	−0.333995	+	0.333995i
$802$	6.10489	−	22.7837i	0.215571	−	0.804522i
$803$	20.2829	−	5.43480i	0.715769	−	0.191790i
$804$	5.53360	−	1.48272i	0.195155	−	0.0522916i
$805$	−32.3323	−	35.3543i	−1.13957	−	1.24608i
$806$	−13.3138	−	2.89571i	−0.468957	−	0.101997i
$807$	−9.62703	−	9.62703i	−0.338888	−	0.338888i
$808$	5.62000	−	9.73413i	0.197711	−	0.342446i
$809$	−19.6729	−	11.3582i	−0.691664	−	0.399332i	0.112571	−	0.993644i	$-0.464091\pi$
$809$	−19.6729	−	11.3582i	−0.691664	−	0.399332i	−0.804235	+	0.594311i	$0.797425\pi$
$810$	−2.84057	+	1.47516i	−0.0998075	+	0.0518318i
$811$	−12.1652	−	12.1652i	−0.427178	−	0.427178i	0.460488	−	0.887666i	$-0.347674\pi$
$811$	−12.1652	−	12.1652i	−0.427178	−	0.427178i	−0.887666	+	0.460488i	$0.847674\pi$
$812$	6.21185	−	3.58642i	0.217993	−	0.125859i
$813$	7.64930	−	4.41632i	0.268273	−	0.154887i
$814$	22.9673	+	22.9673i	0.805004	+	0.805004i
$815$	7.97406	−	4.14107i	0.279319	−	0.145055i
$816$	5.02486	+	2.90110i	0.175905	+	0.101559i
$817$	−2.15835	+	3.73838i	−0.0755112	+	0.130789i
$818$	−13.4749	−	13.4749i	−0.471140	−	0.471140i
$819$	23.5645	−	15.1453i	0.823411	−	0.529218i
$820$	12.0652	+	13.1928i	0.421333	+	0.460714i
$821$	−9.60075	+	2.57251i	−0.335068	+	0.0897813i	−0.422430	−	0.906395i	$-0.638823\pi$
$821$	−9.60075	+	2.57251i	−0.335068	+	0.0897813i	0.0873621	+	0.996177i	$0.472156\pi$
$822$	10.3919	−	2.78451i	0.362460	−	0.0971208i
$823$	−2.63223	+	9.82363i	−0.0917539	+	0.342430i	−0.996507	−	0.0835056i	$-0.973388\pi$
$823$	−2.63223	+	9.82363i	−0.0917539	+	0.342430i	0.904753	+	0.425936i	$0.140055\pi$
$824$	−6.06688	+	6.06688i	−0.211350	+	0.211350i
$825$	14.7091	−	6.82378i	0.512106	−	0.237574i
$826$	−0.268237	−	0.0718740i	−0.00933317	−	0.00250082i
$827$	−13.8408			−0.481293			−0.240646	−	0.970613i	$-0.577359\pi$
$827$	−13.8408			−0.481293			−0.240646	+	0.970613i	$0.577359\pi$
$828$	11.3164	+	3.03221i	0.393270	+	0.105376i
$829$	−7.23155	+	12.5254i	−0.251162	+	0.435026i	−0.963846	−	0.266460i	$-0.914146\pi$
$829$	−7.23155	+	12.5254i	−0.251162	+	0.435026i	0.712684	+	0.701485i	$0.247479\pi$
$830$	20.6802	+	13.2033i	0.717819	+	0.458295i
$831$		−	30.0647i		−	1.04293i
$832$	−1.65204	+	3.20480i	−0.0572741	+	0.111107i
$833$	30.5213	−	30.5213i	1.05750	−	1.05750i
$834$	3.60604	+	13.4579i	0.124867	+	0.466010i
$835$	0.630083	−	0.986888i	0.0218049	−	0.0341527i
$836$	−7.43960	+	4.29525i	−0.257304	+	0.148554i
$837$		−	18.5319i		−	0.640557i
$838$	11.0246	+	19.0952i	0.380838	+	0.659632i
$839$	−11.9042	+	44.4269i	−0.410977	+	1.53379i	0.381782	+	0.924253i	$0.375311\pi$
$839$	−11.9042	+	44.4269i	−0.410977	+	1.53379i	−0.792759	+	0.609535i	$0.791356\pi$
$840$	5.51167	+	6.02682i	0.190171	+	0.207945i
$841$	−12.6895	−	21.9788i	−0.437568	−	0.757889i
$842$	6.44817	+	24.0649i	0.222219	+	0.829331i
$843$	15.5750	+	8.99225i	0.536433	+	0.309710i
$844$	−0.415904			−0.0143160
$845$	15.7905	+	24.4061i	0.543211	+	0.839596i
$846$	26.3195			0.904885
$847$	−0.657121	−	0.379389i	−0.0225790	−	0.0130360i
$848$	−0.0591084	−	0.220595i	−0.00202979	−	0.00757528i
$849$	−9.51791	−	16.4855i	−0.326654	−	0.565781i
$850$	−19.2000	−	22.9733i	−0.658553	−	0.787977i
$851$	−14.2775	+	53.2842i	−0.489425	+	1.82656i
$852$	−4.25218	−	7.36499i	−0.145677	−	0.252320i
$853$		−	44.6175i		−	1.52767i	−0.645409	−	0.763837i	$-0.723313\pi$
$853$		−	44.6175i		−	1.52767i	0.645409	−	0.763837i	$-0.276687\pi$
$854$	4.61233	−	2.66293i	0.157831	−	0.0911236i
$855$	11.5517	−	2.54902i	0.395058	−	0.0871747i
$856$	−1.30637	−	4.87543i	−0.0446508	−	0.166639i
$857$	22.9977	−	22.9977i	0.785585	−	0.785585i	−0.195182	−	0.980767i	$-0.562530\pi$
$857$	22.9977	−	22.9977i	0.785585	−	0.785585i	0.980767	+	0.195182i	$0.0625296\pi$
$858$	5.35753	−	10.3931i	0.182903	−	0.354815i
$859$			26.0126i			0.887539i	0.896141	+	0.443770i	$0.146359\pi$
$859$			26.0126i			0.887539i	−0.896141	+	0.443770i	$0.853641\pi$
$860$	−3.67222	+	0.810323i	−0.125222	+	0.0276318i
$861$	14.6010	−	25.2897i	0.497601	−	0.861870i
$862$	9.74474	+	2.61110i	0.331907	+	0.0889343i
$863$	−32.3856			−1.10242			−0.551209	−	0.834367i	$-0.685833\pi$
$863$	−32.3856			−1.10242			−0.551209	+	0.834367i	$0.685833\pi$
$864$	−4.73695	−	1.26926i	−0.161154	−	0.0431811i
$865$	2.88288	−	9.11205i	0.0980208	−	0.309819i
$866$	13.3778	−	13.3778i	0.454597	−	0.454597i
$867$	−4.72895	+	17.6487i	−0.160604	+	0.599380i
$868$	13.7588	−	3.68666i	0.467005	−	0.125134i
$869$	3.25032	−	0.870921i	0.110260	−	0.0295440i
$870$	−3.04254	+	2.78247i	−0.103152	+	0.0943345i
$871$	−17.9326	+	11.5255i	−0.607622	+	0.390527i
$872$	10.8955	+	10.8955i	0.368969	+	0.368969i
$873$	−7.61723	+	13.1934i	−0.257804	+	0.446530i
$874$	−12.6351	−	7.29488i	−0.427389	−	0.246753i
$875$	−16.0125	−	38.9826i	−0.541321	−	1.31785i
$876$	−4.29880	−	4.29880i	−0.145243	−	0.145243i
$877$	−29.4756	+	17.0177i	−0.995319	+	0.574648i	−0.906860	−	0.421432i	$-0.861528\pi$
$877$	−29.4756	+	17.0177i	−0.995319	+	0.574648i	−0.0884590	+	0.996080i	$0.528194\pi$
$878$	23.5282	−	13.5840i	0.794039	−	0.458439i
$879$	8.09396	+	8.09396i	0.273003	+	0.273003i
$880$	−7.13516	−	2.25743i	−0.240526	−	0.0760978i
$881$	41.9309	+	24.2088i	1.41269	+	0.815617i	0.995641	−	0.0932678i	$-0.0297313\pi$
$881$	41.9309	+	24.2088i	1.41269	+	0.815617i	0.417048	+	0.908884i	$0.363065\pi$
$882$	−7.42856	+	12.8666i	−0.250132	+	0.433242i
$883$	−2.20187	−	2.20187i	−0.0740989	−	0.0740989i	0.669086	−	0.743185i	$-0.266686\pi$
$883$	−2.20187	−	2.20187i	−0.0740989	−	0.0740989i	−0.743185	+	0.669086i	$0.766686\pi$
$884$	−21.0969	−	4.58852i	−0.709565	−	0.154329i
$885$	0.159465	+	0.00711958i	0.00536037	+	0.000239322i
$886$	−27.3084	+	7.31726i	−0.917443	+	0.245828i
$887$	12.3148	−	3.29974i	0.413491	−	0.110795i	−0.0460755	−	0.998938i	$-0.514671\pi$
$887$	12.3148	−	3.29974i	0.413491	−	0.110795i	0.459566	+	0.888143i	$0.348005\pi$
$888$	2.43387	−	9.08332i	0.0816752	−	0.304816i
$889$	−4.58340	+	4.58340i	−0.153722	+	0.153722i
$890$	13.8275	+	4.37474i	0.463498	+	0.146642i
$891$	−4.62751	−	1.23994i	−0.155027	−	0.0415395i
$892$	−21.3007			−0.713199
$893$	−31.6598	−	8.48321i	−1.05945	−	0.283880i
$894$	−7.27176	+	12.5951i	−0.243204	+	0.421242i
$895$	6.54429	−	10.2502i	0.218751	−	0.342627i
$896$		−	3.76940i		−	0.125927i
$897$	19.8359	−	0.945648i	0.662302	−	0.0315743i
$898$	2.97095	−	2.97095i	0.0991417	−	0.0991417i
$899$	1.86115	+	6.94590i	0.0620727	+	0.231659i
$900$	8.43012	+	5.92759i	0.281004	+	0.197586i
$901$	1.18431	−	0.683763i	0.0394552	−	0.0227795i
$902$			26.7587i			0.890968i
$903$	3.07128	+	5.31962i	0.102206	+	0.177026i
$904$	−0.231810	+	0.865127i	−0.00770989	+	0.0287737i
$905$	−2.49737	+	55.9365i	−0.0830155	+	1.85939i
$906$	2.45306	+	4.24882i	0.0814974	+	0.141158i
$907$	6.65340	+	24.8308i	0.220922	+	0.824494i	0.983997	+	0.178184i	$0.0570221\pi$
$907$	6.65340	+	24.8308i	0.220922	+	0.824494i	−0.763075	+	0.646310i	$0.776311\pi$
$908$	0.735969	+	0.424912i	0.0244240	+	0.0141012i
$909$	−23.1668			−0.768393
$910$	−26.3641	−	15.1154i	−0.873963	−	0.501069i
$911$	21.1203			0.699747			0.349874	−	0.936797i	$-0.386225\pi$
$911$	21.1203			0.699747			0.349874	+	0.936797i	$0.386225\pi$
$912$	2.15390	+	1.24355i	0.0713227	+	0.0411782i
$913$	9.50479	+	35.4724i	0.314563	+	1.17396i
$914$	−7.55444	−	13.0847i	−0.249879	−	0.432803i
$915$	−2.25910	+	2.06600i	−0.0746835	+	0.0682998i
$916$	−3.77708	+	14.0963i	−0.124798	+	0.465754i
$917$	20.7812	+	35.9941i	0.686257	+	1.18863i
$918$		−	29.3655i		−	0.969207i
$919$	10.6457	−	6.14632i	0.351171	−	0.202748i	−0.314030	−	0.949413i	$-0.601679\pi$
$919$	10.6457	−	6.14632i	0.351171	−	0.202748i	0.665201	+	0.746665i	$0.268346\pi$
$920$	−2.73876	−	12.4115i	−0.0902942	−	0.409195i
$921$	6.20582	+	23.1604i	0.204489	+	0.763163i
$922$	10.2306	−	10.2306i	0.336928	−	0.336928i
$923$	23.4165	+	21.2854i	0.770763	+	0.700617i
$924$			12.2241i			0.402142i
$925$	−27.9106	+	39.6941i	−0.917696	+	1.30513i
$926$	17.7294	−	30.7082i	0.582624	−	1.00913i
$927$	17.0814	+	4.57694i	0.561026	+	0.150326i
$928$	1.90291			0.0624662
$929$	58.0874	+	15.5645i	1.90578	+	0.510653i	0.995266	+	0.0971842i	$0.0309836\pi$
$929$	58.0874	+	15.5645i	1.90578	+	0.510653i	0.910518	+	0.413469i	$0.135683\pi$
$930$	−7.26627	+	3.77350i	−0.238270	+	0.123738i
$931$	13.0829	−	13.0829i	0.428776	−	0.428776i
$932$	−2.82659	+	10.5490i	−0.0925880	+	0.345543i
$933$	−27.9352	+	7.48522i	−0.914558	+	0.245055i
$934$	5.32113	−	1.42579i	0.174113	−	0.0466533i
$935$	1.99875	−	44.7682i	0.0653661	−	1.46408i
$936$	7.42297	−	0.353879i	0.242627	−	0.0115669i
$937$	41.4374	+	41.4374i	1.35370	+	1.35370i	0.881479	+	0.472224i	$0.156549\pi$
$937$	41.4374	+	41.4374i	1.35370	+	1.35370i	0.472224	+	0.881479i	$0.343451\pi$
$938$	11.1428	−	19.3000i	0.363827	−	0.630166i
$939$	23.3733	+	13.4946i	0.762760	+	0.440380i
$940$	−13.1598	−	25.3405i	−0.429224	−	0.826517i
$941$	16.7381	+	16.7381i	0.545646	+	0.545646i	0.925178	−	0.379532i	$-0.123915\pi$
$941$	16.7381	+	16.7381i	0.545646	+	0.545646i	−0.379532	+	0.925178i	$0.623915\pi$
$942$	−4.26338	+	2.46147i	−0.138909	+	0.0801989i
$943$	−39.3573	+	22.7230i	−1.28165	+	0.739961i
$944$	−0.0520941	−	0.0520941i	−0.00169552	−	0.00169552i
$945$	12.4683	−	39.4091i	0.405593	−	1.28198i
$946$	−4.87453	−	2.81431i	−0.158485	−	0.0915012i
$947$	−14.6719	+	25.4125i	−0.476773	+	0.825794i	−0.999646	−	0.0266161i	$-0.991527\pi$
$947$	−14.6719	+	25.4125i	−0.476773	+	0.825794i	0.522873	+	0.852411i	$0.324860\pi$
$948$	−0.688879	−	0.688879i	−0.0223737	−	0.0223737i
$949$	20.1073	+	10.3651i	0.652711	+	0.336465i
$950$	−8.23003	−	9.84746i	−0.267018	−	0.319494i
$951$	−23.9586	+	6.41970i	−0.776912	+	0.208173i
$952$	21.8021	−	5.84186i	0.706611	−	0.189336i
$953$	−5.61787	+	20.9662i	−0.181981	+	0.679162i	0.813276	+	0.581878i	$0.197682\pi$
$953$	−5.61787	+	20.9662i	−0.181981	+	0.679162i	−0.995257	+	0.0972834i	$0.968985\pi$
$954$	−0.332841	+	0.332841i	−0.0107761	+	0.0107761i
$955$	−17.6292	−	33.9468i	−0.570466	−	1.09849i
$956$	16.3325	+	4.37627i	0.528230	+	0.141539i
$957$	−6.17111			−0.199483
$958$	4.24157	+	1.13652i	0.137039	+	0.0367194i
$959$	20.9259	−	36.2447i	0.675732	−	1.17040i
$960$	0.466874	+	2.11578i	0.0150683	+	0.0682866i
$961$		−	16.7199i		−	0.539352i
$962$	1.66628	+	34.9518i	0.0537229	+	1.12689i
$963$	−7.35620	+	7.35620i	−0.237050	+	0.237050i
$964$	−1.73022	−	6.45727i	−0.0557266	−	0.207975i
$965$	2.51217	+	1.60390i	0.0808696	+	0.0516315i
$966$	−17.9794	+	10.3804i	−0.578479	+	0.333985i
$967$			18.9419i			0.609132i	0.952491	+	0.304566i	$0.0985114\pi$
$967$			18.9419i			0.609132i	−0.952491	+	0.304566i	$0.901489\pi$
$968$	−0.100650	−	0.174331i	−0.00323501	−	0.00560320i
$969$	−3.85455	+	14.3854i	−0.123826	+	0.462125i
$970$	16.5113	+	0.737173i	0.530145	+	0.0236692i
$971$	1.29854	+	2.24914i	0.0416721	+	0.0721782i	0.886109	−	0.463477i	$-0.153398\pi$
$971$	1.29854	+	2.24914i	0.0416721	+	0.0721782i	−0.844437	+	0.535655i	$0.820065\pi$
$972$	4.16677	+	15.5506i	0.133649	+	0.498785i
$973$	46.9383	+	27.0998i	1.50477	+	0.868781i
$974$	36.3013			1.16317
$975$	16.6705	+	5.21889i	0.533884	+	0.167138i
$976$	1.41292			0.0452265
$977$	2.85350	+	1.64747i	0.0912916	+	0.0527072i	0.544951	−	0.838468i	$-0.316548\pi$
$977$	2.85350	+	1.64747i	0.0912916	+	0.0527072i	−0.453659	+	0.891175i	$0.649882\pi$
$978$	−1.00774	−	3.76095i	−0.0322241	−	0.120262i
$979$	10.8537	+	18.7991i	0.346885	+	0.600823i
$980$	16.1023	+	0.718913i	0.514369	+	0.0229648i
$981$	8.21975	−	30.6765i	0.262436	−	0.979426i
$982$	6.02891	+	10.4424i	0.192390	+	0.333230i
$983$		−	44.0690i		−	1.40558i	−0.711396	−	0.702791i	$-0.751937\pi$
$983$		−	44.0690i		−	1.40558i	0.711396	−	0.702791i	$-0.248063\pi$
$984$	6.70921	−	3.87357i	0.213882	−	0.123485i
$985$	−23.7970	−	15.1933i	−0.758236	−	0.484099i
$986$	2.94916	+	11.0064i	0.0939204	+	0.350516i
$987$	−32.9797	+	32.9797i	−1.04975	+	1.04975i
$988$	−9.04315	−	1.96686i	−0.287701	−	0.0625742i
$989$		−	9.55943i		−	0.303972i
$990$	3.32371	+	15.0624i	0.105634	+	0.478714i
$991$	−27.6650	+	47.9172i	−0.878807	+	1.52214i	−0.0261564	+	0.999658i	$0.508327\pi$
$991$	−27.6650	+	47.9172i	−0.878807	+	1.52214i	−0.852651	+	0.522481i	$0.825007\pi$
$992$	3.65014	+	0.978052i	0.115892	+	0.0310532i
$993$	28.9336			0.918182
$994$	−31.9556	−	8.56248i	−1.01357	−	0.271586i
$995$	−15.2507	−	29.3668i	−0.483479	−	0.930989i
$996$	7.51808	−	7.51808i	0.238220	−	0.238220i
$997$	11.5016	−	42.9246i	0.364260	−	1.35944i	−0.504161	−	0.863610i	$-0.668198\pi$
$997$	11.5016	−	42.9246i	0.364260	−	1.35944i	0.868421	−	0.495827i	$-0.165135\pi$
$998$	14.4364	−	3.86821i	0.456975	−	0.122446i
$999$	−45.9716	+	12.3180i	−1.45448	+	0.389726i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.p.b.7.3	✓	16
5.2	odd	4		650.2.w.g.293.3		16
5.3	odd	4		130.2.s.b.33.2	yes	16
5.4	even	2		650.2.t.g.7.2		16
13.2	odd	12		130.2.s.b.67.2	yes	16
65.2	even	12		650.2.t.g.93.2		16
65.28	even	12	inner	130.2.p.b.93.3	yes	16
65.54	odd	12		650.2.w.g.457.3		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.b.7.3	✓	16	1.1	even	1	trivial
130.2.p.b.93.3	yes	16	65.28	even	12	inner
130.2.s.b.33.2	yes	16	5.3	odd	4
130.2.s.b.67.2	yes	16	13.2	odd	12
650.2.t.g.7.2		16	5.4	even	2
650.2.t.g.93.2		16	65.2	even	12
650.2.w.g.293.3		16	5.2	odd	4
650.2.w.g.457.3		16	65.54	odd	12

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:	\( N \)	\(=\)	\( 130 = 2 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	130.p (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.866025 + 0.500000i) q^{2} +(0.250788 + 0.935952i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.23384 - 0.0997335i) q^{5} +(-0.250788 + 0.935952i) q^{6} +(1.88470 + 3.26439i) q^{7} +1.00000i q^{8} +(1.78496 - 1.03055i) q^{9} +O(q^{10})\)	\(q+(0.866025 + 0.500000i) q^{2} +(0.250788 + 0.935952i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.23384 - 0.0997335i) q^{5} +(-0.250788 + 0.935952i) q^{6} +(1.88470 + 3.26439i) q^{7} +1.00000i q^{8} +(1.78496 - 1.03055i) q^{9} +(-1.88470 - 1.20329i) q^{10} +(-0.866224 - 3.23279i) q^{11} +(-0.685164 + 0.685164i) q^{12} +(1.65204 - 3.20480i) q^{13} +3.76940i q^{14} +(-0.466874 - 2.11578i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-5.78398 - 1.54981i) q^{17} +2.06110 q^{18} +(-2.47930 - 0.664325i) q^{19} +(-1.03055 - 1.98443i) q^{20} +(-2.58266 + 2.58266i) q^{21} +(0.866224 - 3.23279i) q^{22} +(5.49044 - 1.47116i) q^{23} +(-0.935952 + 0.250788i) q^{24} +(4.98011 + 0.445578i) q^{25} +(3.03311 - 1.94942i) q^{26} +(3.46769 + 3.46769i) q^{27} +(-1.88470 + 3.26439i) q^{28} +(-1.64797 - 0.951456i) q^{29} +(0.653566 - 2.06576i) q^{30} +(-2.67209 - 2.67209i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(2.80850 - 1.62149i) q^{33} +(-4.23417 - 4.23417i) q^{34} +(-3.88455 - 7.48011i) q^{35} +(1.78496 + 1.03055i) q^{36} +(-4.85245 + 8.40469i) q^{37} +(-1.81497 - 1.81497i) q^{38} +(3.41385 + 0.742504i) q^{39} +(0.0997335 - 2.23384i) q^{40} +(-7.72280 + 2.06932i) q^{41} +(-3.52797 + 0.945318i) q^{42} +(0.435276 - 1.62447i) q^{43} +(2.36657 - 2.36657i) q^{44} +(-4.09011 + 2.12407i) q^{45} +(5.49044 + 1.47116i) q^{46} +12.7697 q^{47} +(-0.935952 - 0.250788i) q^{48} +(-3.60417 + 6.24261i) q^{49} +(4.09011 + 2.87593i) q^{50} -5.80221i q^{51} +(3.60146 - 0.171694i) q^{52} +(-0.161487 + 0.161487i) q^{53} +(1.26926 + 4.73695i) q^{54} +(1.61259 + 7.30794i) q^{55} +(-3.26439 + 1.88470i) q^{56} -2.48711i q^{57} +(-0.951456 - 1.64797i) q^{58} +(-0.0190678 + 0.0711619i) q^{59} +(1.59888 - 1.46222i) q^{60} +(-0.706461 - 1.22363i) q^{61} +(-0.978052 - 3.65014i) q^{62} +(6.72824 + 3.88455i) q^{63} -1.00000 q^{64} +(-4.01002 + 6.99426i) q^{65} +3.24298 q^{66} +(-5.12018 - 2.95614i) q^{67} +(-1.54981 - 5.78398i) q^{68} +(2.75387 + 4.76984i) q^{69} +(0.375935 - 8.42024i) q^{70} +(-2.27158 + 8.47765i) q^{71} +(1.03055 + 1.78496i) q^{72} +6.27412i q^{73} +(-8.40469 + 4.85245i) q^{74} +(0.831910 + 4.77289i) q^{75} +(-0.664325 - 2.47930i) q^{76} +(8.92054 - 8.92054i) q^{77} +(2.58523 + 2.34995i) q^{78} +1.00542i q^{79} +(1.20329 - 1.88470i) q^{80} +(0.715714 - 1.23965i) q^{81} +(-7.72280 - 2.06932i) q^{82} -10.9727 q^{83} +(-3.52797 - 0.945318i) q^{84} +(12.7659 + 4.03890i) q^{85} +(1.18920 - 1.18920i) q^{86} +(0.477227 - 1.78104i) q^{87} +(3.23279 - 0.866224i) q^{88} +(-6.26494 + 1.67868i) q^{89} +(-4.60417 - 0.205561i) q^{90} +(13.5753 - 0.647184i) q^{91} +(4.01928 + 4.01928i) q^{92} +(1.83082 - 3.17107i) q^{93} +(11.0589 + 6.38483i) q^{94} +(5.47210 + 1.73127i) q^{95} +(-0.685164 - 0.685164i) q^{96} +(-6.40116 + 3.69571i) q^{97} +(-6.24261 + 3.60417i) q^{98} +(-4.87773 - 4.87773i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{4} - 2 q^{5}+O(q^{10}) \) 16 * q + 8 * q^4 - 2 * q^5	\( 16 q + 8 q^{4} - 2 q^{5} + 6 q^{11} + 2 q^{13} + 6 q^{15} - 8 q^{16} - 16 q^{17} - 16 q^{18} + 8 q^{20} - 6 q^{22} - 6 q^{23} - 14 q^{25} - 6 q^{26} - 12 q^{27} - 6 q^{29} + 6 q^{30} - 6 q^{33} - 14 q^{34} - 20 q^{37} + 6 q^{38} - 6 q^{39} - 44 q^{41} + 6 q^{42} + 6 q^{44} - 6 q^{46} + 52 q^{47} - 2 q^{49} + 10 q^{52} - 24 q^{53} + 6 q^{54} + 64 q^{55} + 6 q^{56} + 8 q^{58} - 46 q^{59} + 6 q^{61} + 12 q^{62} + 90 q^{63} - 16 q^{64} - 22 q^{65} + 52 q^{66} + 12 q^{67} - 2 q^{68} + 58 q^{69} - 32 q^{70} + 6 q^{71} - 8 q^{72} + 24 q^{74} + 44 q^{75} - 6 q^{76} + 58 q^{77} + 38 q^{78} + 10 q^{80} - 24 q^{81} - 44 q^{82} - 64 q^{83} + 6 q^{84} + 40 q^{85} - 44 q^{87} - 24 q^{89} - 18 q^{90} + 38 q^{91} - 26 q^{93} - 6 q^{95} - 6 q^{97} - 26 q^{99}+O(q^{100}) \) 16 * q + 8 * q^4 - 2 * q^5 + 6 * q^11 + 2 * q^13 + 6 * q^15 - 8 * q^16 - 16 * q^17 - 16 * q^18 + 8 * q^20 - 6 * q^22 - 6 * q^23 - 14 * q^25 - 6 * q^26 - 12 * q^27 - 6 * q^29 + 6 * q^30 - 6 * q^33 - 14 * q^34 - 20 * q^37 + 6 * q^38 - 6 * q^39 - 44 * q^41 + 6 * q^42 + 6 * q^44 - 6 * q^46 + 52 * q^47 - 2 * q^49 + 10 * q^52 - 24 * q^53 + 6 * q^54 + 64 * q^55 + 6 * q^56 + 8 * q^58 - 46 * q^59 + 6 * q^61 + 12 * q^62 + 90 * q^63 - 16 * q^64 - 22 * q^65 + 52 * q^66 + 12 * q^67 - 2 * q^68 + 58 * q^69 - 32 * q^70 + 6 * q^71 - 8 * q^72 + 24 * q^74 + 44 * q^75 - 6 * q^76 + 58 * q^77 + 38 * q^78 + 10 * q^80 - 24 * q^81 - 44 * q^82 - 64 * q^83 + 6 * q^84 + 40 * q^85 - 44 * q^87 - 24 * q^89 - 18 * q^90 + 38 * q^91 - 26 * q^93 - 6 * q^95 - 6 * q^97 - 26 * q^99

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