LMFDB - Embedded newform 370.2.q.f.103.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(97,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 5]))

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

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

chi := DirichletCharacter("370.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.q (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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			103.3
Character	$\chi$	$=$	370.103
Dual form			370.2.q.f.97.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 + 0.866025i) q^{2} +(-0.453882 - 1.69391i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.94207 + 1.10831i) q^{5} +(1.24003 - 1.24003i) q^{6} +(-1.25240 - 4.67400i) q^{7} -1.00000 q^{8} +(-0.0652541 + 0.0376745i) q^{9} +O(q^{10})$	\(q+(0.500000 + 0.866025i) q^{2} +(-0.453882 - 1.69391i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.94207 + 1.10831i) q^{5} +(1.24003 - 1.24003i) q^{6} +(-1.25240 - 4.67400i) q^{7} -1.00000 q^{8} +(-0.0652541 + 0.0376745i) q^{9} +(0.0112097 + 2.23604i) q^{10} -1.80443i q^{11} +(1.69391 + 0.453882i) q^{12} +(-1.30781 + 2.26519i) q^{13} +(3.42161 - 3.42161i) q^{14} +(0.995911 - 3.79274i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(3.01303 - 1.73957i) q^{17} +(-0.0652541 - 0.0376745i) q^{18} +(6.17174 - 1.65371i) q^{19} +(-1.93086 + 1.12773i) q^{20} +(-7.34891 + 4.24290i) q^{21} +(1.56268 - 0.902215i) q^{22} -8.37956 q^{23} +(0.453882 + 1.69391i) q^{24} +(2.54329 + 4.30484i) q^{25} -2.61562 q^{26} +(-3.62666 - 3.62666i) q^{27} +(4.67400 + 1.25240i) q^{28} +(5.16438 - 5.16438i) q^{29} +(3.78257 - 1.03389i) q^{30} +(6.16219 + 6.16219i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-3.05655 + 0.818999i) q^{33} +(3.01303 + 1.73957i) q^{34} +(2.74801 - 10.4653i) q^{35} -0.0753490i q^{36} +(2.23377 + 5.65776i) q^{37} +(4.51803 + 4.51803i) q^{38} +(4.43063 + 1.18718i) q^{39} +(-1.94207 - 1.10831i) q^{40} +(-2.24339 - 1.29522i) q^{41} +(-7.34891 - 4.24290i) q^{42} -1.35953 q^{43} +(1.56268 + 0.902215i) q^{44} +(-0.168483 + 0.000844640i) q^{45} +(-4.18978 - 7.25691i) q^{46} +(-0.101997 + 0.101997i) q^{47} +(-1.24003 + 1.24003i) q^{48} +(-14.2156 + 8.20741i) q^{49} +(-2.45646 + 4.35497i) q^{50} +(-4.31425 - 4.31425i) q^{51} +(-1.30781 - 2.26519i) q^{52} +(-0.698572 + 2.60711i) q^{53} +(1.32745 - 4.95410i) q^{54} +(1.99987 - 3.50433i) q^{55} +(1.25240 + 4.67400i) q^{56} +(-5.60249 - 9.70379i) q^{57} +(7.05467 + 1.89029i) q^{58} +(-2.77785 + 10.3671i) q^{59} +(2.78666 + 2.75886i) q^{60} +(-5.11419 + 1.37034i) q^{61} +(-2.25552 + 8.41771i) q^{62} +(0.257815 + 0.257815i) q^{63} +1.00000 q^{64} +(-5.05040 + 2.94971i) q^{65} +(-2.23755 - 2.23755i) q^{66} +(9.52300 - 2.55168i) q^{67} +3.47915i q^{68} +(3.80333 + 14.1942i) q^{69} +(10.4372 - 2.85280i) q^{70} +(-5.81858 + 10.0781i) q^{71} +(0.0652541 - 0.0376745i) q^{72} +(3.21316 - 3.21316i) q^{73} +(-3.78288 + 4.76338i) q^{74} +(6.13767 - 6.26200i) q^{75} +(-1.65371 + 6.17174i) q^{76} +(-8.43391 + 2.25986i) q^{77} +(1.18718 + 4.43063i) q^{78} +(-13.7202 + 3.67632i) q^{79} +(-0.0112097 - 2.23604i) q^{80} +(-4.61018 + 7.98507i) q^{81} -2.59045i q^{82} +(-4.18715 + 15.6267i) q^{83} -8.48579i q^{84} +(7.77951 - 0.0390002i) q^{85} +(-0.679767 - 1.17739i) q^{86} +(-11.0920 - 6.40399i) q^{87} +1.80443i q^{88} +(3.75933 + 1.00731i) q^{89} +(-0.0849731 - 0.145488i) q^{90} +(12.2254 + 3.27579i) q^{91} +(4.18978 - 7.25691i) q^{92} +(7.64130 - 13.2351i) q^{93} +(-0.139331 - 0.0373337i) q^{94} +(13.8188 + 3.62858i) q^{95} +(-1.69391 - 0.453882i) q^{96} -4.12874i q^{97} +(-14.2156 - 8.20741i) q^{98} +(0.0679810 + 0.117746i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) $ 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9 + 6 * q^10 + 10 * q^12 + 10 * q^13 - 8 * q^14 - 8 * q^15 - 16 * q^16 - 12 * q^17 + 12 * q^18 + 2 * q^19 - 54 * q^21 + 6 * q^22 + 12 * q^23 + 2 * q^24 - 16 * q^25 + 20 * q^26 + 40 * q^27 + 2 * q^28 + 6 * q^29 + 8 * q^30 - 4 * q^31 + 16 * q^32 + 26 * q^33 - 12 * q^34 - 12 * q^35 + 20 * q^37 - 26 * q^38 - 58 * q^39 - 6 * q^40 + 18 * q^41 - 54 * q^42 - 32 * q^43 + 6 * q^44 + 56 * q^45 + 6 * q^46 + 18 * q^47 - 8 * q^48 - 12 * q^49 - 14 * q^50 - 4 * q^51 + 10 * q^52 - 24 * q^53 + 20 * q^54 - 32 * q^55 + 10 * q^56 + 8 * q^57 + 36 * q^58 + 42 * q^59 + 16 * q^60 - 46 * q^61 - 14 * q^62 + 32 * q^64 - 18 * q^65 + 4 * q^66 + 50 * q^67 - 66 * q^69 + 12 * q^70 - 12 * q^71 - 12 * q^72 - 28 * q^73 + 16 * q^74 - 20 * q^75 - 28 * q^76 + 12 * q^77 - 26 * q^78 + 38 * q^79 - 6 * q^80 + 56 * q^81 - 8 * q^85 - 16 * q^86 + 18 * q^87 + 18 * q^89 + 4 * q^90 + 4 * q^91 - 6 * q^92 + 32 * q^93 + 30 * q^94 + 96 * q^95 - 10 * q^96 - 12 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$3$	−0.453882	−	1.69391i	−0.262049	−	0.977981i	−0.964032	−	0.265787i	$-0.914368\pi$
$3$	−0.453882	−	1.69391i	−0.262049	−	0.977981i	0.701983	−	0.712194i	$-0.252298\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	1.94207	+	1.10831i	0.868521	+	0.495652i
$5$	1.94207	+	1.10831i	0.868521	+	0.495652i
$6$	1.24003	−	1.24003i	0.506240	−	0.506240i
$7$	−1.25240	−	4.67400i	−0.473361	−	1.76661i	−0.627561	−	0.778568i	$-0.715946\pi$
$7$	−1.25240	−	4.67400i	−0.473361	−	1.76661i	0.154199	−	0.988040i	$-0.450720\pi$
$8$	−1.00000			−0.353553
$9$	−0.0652541	+	0.0376745i	−0.0217514	+	0.0125582i
$10$	0.0112097	+	2.23604i	0.00354482	+	0.707098i
$11$		−	1.80443i		−	0.544056i	−0.962289	−	0.272028i	$-0.912306\pi$
$11$		−	1.80443i		−	0.544056i	0.962289	−	0.272028i	$-0.0876943\pi$
$12$	1.69391	+	0.453882i	0.488990	+	0.131025i
$13$	−1.30781	+	2.26519i	−0.362721	+	0.628251i	−0.988408	−	0.151823i	$-0.951486\pi$
$13$	−1.30781	+	2.26519i	−0.362721	+	0.628251i	0.625687	+	0.780074i	$0.284819\pi$
$14$	3.42161	−	3.42161i	0.914463	−	0.914463i
$15$	0.995911	−	3.79274i	0.257143	−	0.979282i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	3.01303	−	1.73957i	0.730767	−	0.421909i	−0.0879355	−	0.996126i	$-0.528027\pi$
$17$	3.01303	−	1.73957i	0.730767	−	0.421909i	0.818703	+	0.574217i	$0.194694\pi$
$18$	−0.0652541	−	0.0376745i	−0.0153805	−	0.00887996i
$19$	6.17174	−	1.65371i	1.41589	−	0.379388i	0.531869	−	0.846827i	$-0.321490\pi$
$19$	6.17174	−	1.65371i	1.41589	−	0.379388i	0.884025	+	0.467439i	$0.154823\pi$
$20$	−1.93086	+	1.12773i	−0.431754	+	0.252168i
$21$	−7.34891	+	4.24290i	−1.60366	+	0.925876i
$22$	1.56268	−	0.902215i	0.333165	−	0.192353i
$23$	−8.37956			−1.74726			−0.873629	−	0.486592i	$-0.838240\pi$
$23$	−8.37956			−1.74726			−0.873629	+	0.486592i	$0.838240\pi$
$24$	0.453882	+	1.69391i	0.0926484	+	0.345768i
$25$	2.54329	+	4.30484i	0.508658	+	0.860969i
$26$	−2.61562			−0.512965
$27$	−3.62666	−	3.62666i	−0.697950	−	0.697950i
$28$	4.67400	+	1.25240i	0.883304	+	0.236681i
$29$	5.16438	−	5.16438i	0.959001	−	0.959001i	−0.0401907	−	0.999192i	$-0.512797\pi$
$29$	5.16438	−	5.16438i	0.959001	−	0.959001i	0.999192	+	0.0401907i	$0.0127965\pi$
$30$	3.78257	−	1.03389i	0.690599	−	0.188761i
$31$	6.16219	+	6.16219i	1.10676	+	1.10676i	0.993574	+	0.113188i	$0.0361064\pi$
$31$	6.16219	+	6.16219i	1.10676	+	1.10676i	0.113188	+	0.993574i	$0.463894\pi$
$32$	0.500000	−	0.866025i	0.0883883	−	0.153093i
$33$	−3.05655	+	0.818999i	−0.532076	+	0.142569i
$34$	3.01303	+	1.73957i	0.516731	+	0.298335i
$35$	2.74801	−	10.4653i	0.464499	−	1.76896i
$36$		−	0.0753490i		−	0.0125582i
$37$	2.23377	+	5.65776i	0.367230	+	0.930130i
$37$	2.23377	+	5.65776i	0.367230	+	0.930130i
$38$	4.51803	+	4.51803i	0.732921	+	0.732921i
$39$	4.43063	+	1.18718i	0.709468	+	0.190101i
$40$	−1.94207	−	1.10831i	−0.307069	−	0.175240i
$41$	−2.24339	−	1.29522i	−0.350359	−	0.202280i	0.314484	−	0.949263i	$-0.398168\pi$
$41$	−2.24339	−	1.29522i	−0.350359	−	0.202280i	−0.664844	+	0.746983i	$0.731502\pi$
$42$	−7.34891	−	4.24290i	−1.13396	−	0.654693i
$43$	−1.35953			−0.207327			−0.103663	−	0.994612i	$-0.533056\pi$
$43$	−1.35953			−0.207327			−0.103663	+	0.994612i	$0.533056\pi$
$44$	1.56268	+	0.902215i	0.235583	+	0.136014i
$45$	−0.168483		0.000844640i	−0.0251160		0.000125911i
$46$	−4.18978	−	7.25691i	−0.617749	−	1.06997i
$47$	−0.101997	+	0.101997i	−0.0148779	+	0.0148779i	−0.714507	−	0.699629i	$-0.753349\pi$
$47$	−0.101997	+	0.101997i	−0.0148779	+	0.0148779i	0.699629	+	0.714507i	$0.253349\pi$
$48$	−1.24003	+	1.24003i	−0.178983	+	0.178983i
$49$	−14.2156	+	8.20741i	−2.03081	+	1.17249i
$50$	−2.45646	+	4.35497i	−0.347396	+	0.615886i
$51$	−4.31425	−	4.31425i	−0.604116	−	0.604116i
$52$	−1.30781	−	2.26519i	−0.181360	−	0.314126i
$53$	−0.698572	+	2.60711i	−0.0959563	+	0.358114i	−0.997163	−	0.0752764i	$-0.976016\pi$
$53$	−0.698572	+	2.60711i	−0.0959563	+	0.358114i	0.901206	+	0.433390i	$0.142683\pi$
$54$	1.32745	−	4.95410i	0.180643	−	0.674168i
$55$	1.99987	−	3.50433i	0.269663	−	0.472524i
$56$	1.25240	+	4.67400i	0.167358	+	0.624590i
$57$	−5.60249	−	9.70379i	−0.742068	−	1.28530i
$58$	7.05467	+	1.89029i	0.926324	+	0.248208i
$59$	−2.77785	+	10.3671i	−0.361645	+	1.34968i	0.510267	+	0.860016i	$0.329547\pi$
$59$	−2.77785	+	10.3671i	−0.361645	+	1.34968i	−0.871912	+	0.489663i	$0.837120\pi$
$60$	2.78666	+	2.75886i	0.359756	+	0.356167i
$61$	−5.11419	+	1.37034i	−0.654805	+	0.175454i	−0.570900	−	0.821019i	$-0.693406\pi$
$61$	−5.11419	+	1.37034i	−0.654805	+	0.175454i	−0.0839046	+	0.996474i	$0.526739\pi$
$62$	−2.25552	+	8.41771i	−0.286451	+	1.06905i
$63$	0.257815	+	0.257815i	0.0324816	+	0.0324816i
$64$	1.00000			0.125000
$65$	−5.05040	+	2.94971i	−0.626425	+	0.365866i
$66$	−2.23755	−	2.23755i	−0.275423	−	0.275423i
$67$	9.52300	−	2.55168i	1.16342	−	0.311737i	0.375088	−	0.926989i	$-0.377612\pi$
$67$	9.52300	−	2.55168i	1.16342	−	0.311737i	0.788331	+	0.615252i	$0.210946\pi$
$68$			3.47915i			0.421909i
$69$	3.80333	+	14.1942i	0.457868	+	1.70879i
$70$	10.4372	−	2.85280i	1.24749	−	0.340975i
$71$	−5.81858	+	10.0781i	−0.690538	+	1.19605i	0.281124	+	0.959671i	$0.409293\pi$
$71$	−5.81858	+	10.0781i	−0.690538	+	1.19605i	−0.971662	+	0.236375i	$0.924041\pi$
$72$	0.0652541	−	0.0376745i	0.00769027	−	0.00443998i
$73$	3.21316	−	3.21316i	0.376072	−	0.376072i	−0.493611	−	0.869683i	$-0.664323\pi$
$73$	3.21316	−	3.21316i	0.376072	−	0.376072i	0.869683	+	0.493611i	$0.164323\pi$
$74$	−3.78288	+	4.76338i	−0.439751	+	0.553732i
$75$	6.13767	−	6.26200i	0.708718	−	0.723074i
$76$	−1.65371	+	6.17174i	−0.189694	+	0.707947i
$77$	−8.43391	+	2.25986i	−0.961134	+	0.257535i
$78$	1.18718	+	4.43063i	0.134422	+	0.501670i
$79$	−13.7202	+	3.67632i	−1.54364	+	0.413618i	−0.927441	−	0.373969i	$-0.877997\pi$
$79$	−13.7202	+	3.67632i	−1.54364	+	0.413618i	−0.616203	+	0.787587i	$0.711330\pi$
$80$	−0.0112097	−	2.23604i	−0.00125328	−	0.249997i
$81$	−4.61018	+	7.98507i	−0.512243	+	0.887230i
$82$		−	2.59045i		−	0.286067i
$83$	−4.18715	+	15.6267i	−0.459600	+	1.71525i	0.214602	+	0.976702i	$0.431155\pi$
$83$	−4.18715	+	15.6267i	−0.459600	+	1.71525i	−0.674201	+	0.738547i	$0.735512\pi$
$84$		−	8.48579i		−	0.925876i
$85$	7.77951	−	0.0390002i	0.843807	−	0.00423017i
$86$	−0.679767	−	1.17739i	−0.0733011	−	0.126961i
$87$	−11.0920	−	6.40399i	−1.18919	−	0.686579i
$88$			1.80443i			0.192353i
$89$	3.75933	+	1.00731i	0.398489	+	0.106775i	0.452497	−	0.891766i	$-0.350533\pi$
$89$	3.75933	+	1.00731i	0.398489	+	0.106775i	−0.0540087	+	0.998540i	$0.517200\pi$
$90$	−0.0849731	−	0.145488i	−0.00895695	−	0.0153358i
$91$	12.2254	+	3.27579i	1.28157	+	0.343396i
$92$	4.18978	−	7.25691i	0.436815	−	0.756585i
$93$	7.64130	−	13.2351i	0.792366	−	1.37242i
$94$	−0.139331	−	0.0373337i	−0.0143709	−	0.00385067i
$95$	13.8188	+	3.62858i	1.41778	+	0.372285i
$96$	−1.69391	−	0.453882i	−0.172884	−	0.0463242i
$97$		−	4.12874i		−	0.419210i	−0.977786	−	0.209605i	$-0.932782\pi$
$97$		−	4.12874i		−	0.419210i	0.977786	−	0.209605i	$-0.0672178\pi$
$98$	−14.2156	−	8.20741i	−1.43600	−	0.829073i
$99$	0.0679810	+	0.117746i	0.00683234	+	0.0118340i
$100$	−4.99975	+	0.0501307i	−0.499975	+	0.00501307i
$101$		−	8.73904i		−	0.869567i	−0.900535	−	0.434783i	$-0.856825\pi$
$101$		−	8.73904i		−	0.869567i	0.900535	−	0.434783i	$-0.143175\pi$
$102$	1.57912	−	5.89337i	0.156357	−	0.583531i
$103$		−	1.19613i		−	0.117858i	−0.998262	−	0.0589289i	$-0.981231\pi$
$103$		−	1.19613i		−	0.117858i	0.998262	−	0.0589289i	$-0.0187685\pi$
$104$	1.30781	−	2.26519i	0.128241	−	0.222120i
$105$	−18.9746	+	0.0951233i	−1.85173	+	0.00928308i
$106$	−2.60711	+	0.698572i	−0.253225	+	0.0678513i
$107$	−0.356896	−	1.33196i	−0.0345025	−	0.128765i	0.946527	−	0.322626i	$-0.104566\pi$
$107$	−0.356896	−	1.33196i	−0.0345025	−	0.128765i	−0.981029	+	0.193861i	$0.937899\pi$
$108$	4.95410	−	1.32745i	0.476709	−	0.127734i
$109$	0.635304	−	2.37099i	0.0608511	−	0.227099i	−0.928803	−	0.370574i	$-0.879161\pi$
$109$	0.635304	−	2.37099i	0.0608511	−	0.227099i	0.989654	+	0.143475i	$0.0458276\pi$
$110$	4.03478	−	0.0202271i	0.384701	−	0.00192858i
$111$	8.56988	−	6.35177i	0.813417	−	0.602883i
$112$	−3.42161	+	3.42161i	−0.323312	+	0.323312i
$113$	7.28479	−	4.20588i	0.685296	−	0.395656i	−0.116552	−	0.993185i	$-0.537184\pi$
$113$	7.28479	−	4.20588i	0.685296	−	0.395656i	0.801847	+	0.597529i	$0.203851\pi$
$114$	5.60249	−	9.70379i	0.524721	−	0.908844i
$115$	−16.2737	−	9.28716i	−1.51753	−	0.866033i
$116$	1.89029	+	7.05467i	0.175509	+	0.655010i
$117$		−	0.197084i		−	0.0182204i
$118$	−10.3671	+	2.77785i	−0.954367	+	0.255722i
$119$	−11.9043	−	11.9043i	−1.09126	−	1.09126i
$120$	−0.995911	+	3.79274i	−0.0909138	+	0.346229i
$121$	7.74403			0.704003
$122$	−3.74385	−	3.74385i	−0.338952	−	0.338952i
$123$	−1.17576	+	4.38799i	−0.106015	+	0.395652i
$124$	−8.41771	+	2.25552i	−0.755932	+	0.202551i
$125$	0.168140	+	11.1791i	0.0150389	+	0.999887i
$126$	−0.0943667	+	0.352181i	−0.00840685	+	0.0313748i
$127$	10.1458	+	2.71856i	0.900294	+	0.241233i	0.679142	−	0.734006i	$-0.262352\pi$
$127$	10.1458	+	2.71856i	0.900294	+	0.241233i	0.221151	+	0.975239i	$0.429018\pi$
$128$	0.500000	+	0.866025i	0.0441942	+	0.0765466i
$129$	0.617069	+	2.30293i	0.0543299	+	0.202762i
$130$	−5.07972	−	2.89892i	−0.445521	−	0.254252i
$131$	3.08960	−	11.5306i	0.269940	−	1.00743i	−0.689217	−	0.724555i	$-0.742045\pi$
$131$	3.08960	−	11.5306i	0.269940	−	1.00743i	0.959157	−	0.282875i	$-0.0912880\pi$
$132$	0.818999	−	3.05655i	0.0712847	−	0.266038i
$133$	−15.4589	−	26.7756i	−1.34046	−	2.32174i
$134$	6.97132	+	6.97132i	0.602230	+	0.602230i
$135$	−3.02376	−	11.0627i	−0.260244	−	0.952125i
$136$	−3.01303	+	1.73957i	−0.258365	+	0.149167i
$137$	−3.06772	+	3.06772i	−0.262093	+	0.262093i	−0.825904	−	0.563811i	$-0.809335\pi$
$137$	−3.06772	+	3.06772i	−0.262093	+	0.262093i	0.563811	+	0.825904i	$0.309335\pi$
$138$	−10.3909	+	10.3909i	−0.884532	+	0.884532i
$139$	4.71138	+	8.16035i	0.399614	+	0.692152i	0.993678	−	0.112266i	$-0.0358108\pi$
$139$	4.71138	+	8.16035i	0.399614	+	0.692152i	−0.594064	+	0.804418i	$0.702477\pi$
$140$	7.68921	+	7.61250i	0.649857	+	0.643374i
$141$	0.219070	+	0.126480i	0.0184490	+	0.0106515i
$142$	−11.6372			−0.976568
$143$	4.08738	+	2.35985i	0.341804	+	0.197341i
$144$	0.0652541	+	0.0376745i	0.00543784	+	0.00313954i
$145$	15.7533	−	4.30585i	1.30824	−	0.357582i
$146$	4.38926	+	1.17610i	0.363258	+	0.0973346i
$147$	20.3549	+	20.3549i	1.67884	+	1.67884i
$148$	−6.01665	−	0.894379i	−0.494566	−	0.0735175i
$149$		−	13.1713i		−	1.07904i	−0.841974	−	0.539518i	$-0.818606\pi$
$149$		−	13.1713i		−	1.07904i	0.841974	−	0.539518i	$-0.181394\pi$
$150$	8.49189	+	2.18438i	0.693360	+	0.178354i
$151$	9.11356	+	5.26172i	0.741651	+	0.428192i	0.822669	−	0.568520i	$-0.192484\pi$
$151$	9.11356	+	5.26172i	0.741651	+	0.428192i	−0.0810182	+	0.996713i	$0.525817\pi$
$152$	−6.17174	+	1.65371i	−0.500594	+	0.134134i
$153$	−0.131075	+	0.227029i	−0.0105968	+	0.0183542i
$154$	−6.17405	−	6.17405i	−0.497519	−	0.497519i
$155$	5.13779	+	18.7970i	0.412677	+	1.50982i
$156$	−3.24344	+	3.24344i	−0.259683	+	0.259683i
$157$	−2.98011	−	0.798519i	−0.237839	−	0.0637287i	0.137931	−	0.990442i	$-0.455955\pi$
$157$	−2.98011	−	0.798519i	−0.237839	−	0.0637287i	−0.375770	+	0.926713i	$0.622622\pi$
$158$	−10.0439	−	10.0439i	−0.799049	−	0.799049i
$159$	4.73328			0.375374
$160$	1.93086	−	1.12773i	0.152648	−	0.0891547i
$161$	10.4945	+	39.1661i	0.827084	+	3.08672i
$162$	−9.22037			−0.724421
$163$	7.99556	−	4.61624i	0.626260	−	0.361572i	−0.153042	−	0.988220i	$-0.548907\pi$
$163$	7.99556	−	4.61624i	0.626260	−	0.361572i	0.779302	+	0.626648i	$0.215574\pi$
$164$	2.24339	−	1.29522i	0.175180	−	0.101140i
$165$	−6.84374	−	1.79705i	−0.532784	−	0.139900i
$166$	−15.6267	+	4.18715i	−1.21286	+	0.324986i
$167$	5.20455	+	3.00485i	0.402740	+	0.232522i	0.687666	−	0.726028i	$-0.258636\pi$
$167$	5.20455	+	3.00485i	0.402740	+	0.232522i	−0.284926	+	0.958550i	$0.591969\pi$
$168$	7.34891	−	4.24290i	0.566981	−	0.327347i
$169$	3.07927	+	5.33346i	0.236867	+	0.410266i
$170$	3.92353	+	6.71776i	0.300921	+	0.515228i
$171$	−0.340429	+	0.340429i	−0.0260332	+	0.0260332i
$172$	0.679767	−	1.17739i	0.0518317	−	0.0897752i
$173$	−0.380133	−	0.101856i	−0.0289010	−	0.00774399i	0.244340	−	0.969690i	$-0.421429\pi$
$173$	−0.380133	−	0.101856i	−0.0289010	−	0.00774399i	−0.273241	+	0.961946i	$0.588096\pi$
$174$		−	12.8080i		−	0.970970i
$175$	16.9357	−	17.2787i	1.28022	−	1.30615i
$176$	−1.56268	+	0.902215i	−0.117792	+	0.0680070i
$177$	18.8217			1.41473
$178$	1.00731	+	3.75933i	0.0755011	+	0.281774i
$179$	6.13609	−	6.13609i	0.458633	−	0.458633i	−0.439573	−	0.898207i	$-0.644870\pi$
$179$	6.13609	−	6.13609i	0.458633	−	0.458633i	0.898207	+	0.439573i	$0.144870\pi$
$180$	0.0835102	−	0.146333i	0.00622448	−	0.0109070i
$181$	−3.50429	+	6.06961i	−0.260472	+	0.451151i	−0.966367	−	0.257165i	$-0.917211\pi$
$181$	−3.50429	+	6.06961i	−0.260472	+	0.451151i	0.705896	+	0.708316i	$0.250545\pi$
$182$	3.27579	+	12.2254i	0.242818	+	0.906208i
$183$	4.64248	+	8.04102i	0.343182	+	0.594409i
$184$	8.37956			0.617749
$185$	−1.93242	+	13.4635i	−0.142075	+	0.989856i
$186$	15.2826			1.12057
$187$	−3.13894	−	5.43680i	−0.229542	−	0.397578i
$188$	−0.0373337	−	0.139331i	−0.00272284	−	0.0101618i
$189$	−12.4090	+	21.4930i	−0.902622	+	1.56339i
$190$	3.76695	+	13.7817i	0.273283	+	0.999831i
$191$	5.41763	−	5.41763i	0.392006	−	0.392006i	−0.483396	−	0.875402i	$-0.660597\pi$
$191$	5.41763	−	5.41763i	0.392006	−	0.392006i	0.875402	+	0.483396i	$0.160597\pi$
$192$	−0.453882	−	1.69391i	−0.0327561	−	0.122248i
$193$	9.91460			0.713668			0.356834	−	0.934168i	$-0.383856\pi$
$193$	9.91460			0.713668			0.356834	+	0.934168i	$0.383856\pi$
$194$	3.57559	−	2.06437i	0.256713	−	0.148213i
$195$	7.28883	+	7.21611i	0.521964	+	0.516757i
$196$		−	16.4148i		−	1.17249i
$197$	−7.20563	−	1.93074i	−0.513380	−	0.137560i	−0.00717713	−	0.999974i	$-0.502285\pi$
$197$	−7.20563	−	1.93074i	−0.513380	−	0.137560i	−0.506203	+	0.862415i	$0.668951\pi$
$198$	−0.0679810	+	0.117746i	−0.00483120	+	0.00836788i
$199$	6.16248	−	6.16248i	0.436847	−	0.436847i	−0.454103	−	0.890949i	$-0.650040\pi$
$199$	6.16248	−	6.16248i	0.436847	−	0.436847i	0.890949	+	0.454103i	$0.150040\pi$
$200$	−2.54329	−	4.30484i	−0.179838	−	0.304398i
$201$	−8.64464	−	14.9730i	−0.609746	−	1.05611i
$202$	7.56823	−	4.36952i	0.532499	−	0.307438i
$203$	−30.6062	−	17.6705i	−2.14813	−	1.24023i
$204$	5.89337	−	1.57912i	0.412619	−	0.110561i
$205$	−2.92132	−	5.00180i	−0.204034	−	0.349341i
$206$	1.03587	−	0.598063i	0.0721728	−	0.0416690i
$207$	0.546801	−	0.315695i	0.0380053	−	0.0219424i
$208$	2.61562			0.181360
$209$	−2.98401	−	11.1365i	−0.206408	−	0.770326i
$210$	−9.56967	−	16.3849i	−0.660370	−	1.13067i
$211$	3.61934			0.249166			0.124583	−	0.992209i	$-0.460241\pi$
$211$	3.61934			0.249166			0.124583	+	0.992209i	$0.460241\pi$
$212$	−1.90853	−	1.90853i	−0.131079	−	0.131079i
$213$	19.7123	+	5.28190i	1.35067	+	0.361910i
$214$	0.975059	−	0.975059i	0.0666537	−	0.0666537i
$215$	−2.64031	−	1.50679i	−0.180068	−	0.102762i
$216$	3.62666	+	3.62666i	0.246763	+	0.246763i
$217$	21.0846	−	36.5196i	1.43132	−	2.47911i
$218$	2.37099	−	0.635304i	0.160583	−	0.0430282i
$219$	−6.90121	−	3.98442i	−0.466341	−	0.269242i
$220$	2.03491	+	3.48411i	0.137193	+	0.234898i
$221$			9.10012i			0.612140i
$222$	9.78574	+	4.24585i	0.656776	+	0.284963i
$223$	2.55180	+	2.55180i	0.170881	+	0.170881i	0.787366	−	0.616485i	$-0.211444\pi$
$223$	2.55180	+	2.55180i	0.170881	+	0.170881i	−0.616485	+	0.787366i	$0.711444\pi$
$224$	−4.67400	−	1.25240i	−0.312295	−	0.0836792i
$225$	−0.328143	−	0.185092i	−0.0218762	−	0.0123394i
$226$	7.28479	+	4.20588i	0.484577	+	0.279771i
$227$	−10.7831	−	6.22565i	−0.715703	−	0.413211i	0.0974662	−	0.995239i	$-0.468926\pi$
$227$	−10.7831	−	6.22565i	−0.715703	−	0.413211i	−0.813169	+	0.582028i	$0.802260\pi$
$228$	11.2050			0.742068
$229$	−15.5682	−	8.98833i	−1.02878	−	0.593965i	−0.112144	−	0.993692i	$-0.535772\pi$
$229$	−15.5682	−	8.98833i	−1.02878	−	0.593965i	−0.916634	+	0.399727i	$0.869105\pi$
$230$	−0.0939324	−	18.7370i	−0.00619372	−	1.23548i
$231$	7.65601	+	13.2606i	0.503729	+	0.872483i
$232$	−5.16438	+	5.16438i	−0.339058	+	0.339058i
$233$	−9.77692	+	9.77692i	−0.640507	+	0.640507i	−0.950680	−	0.310173i	$-0.899613\pi$
$233$	−9.77692	+	9.77692i	−0.640507	+	0.640507i	0.310173	+	0.950680i	$0.399613\pi$
$234$	0.170680	−	0.0985420i	0.0111577	−	0.00644189i
$235$	−0.311131	+	0.0850414i	−0.0202960	+	0.00554749i
$236$	−7.58923	−	7.58923i	−0.494017	−	0.494017i
$237$	12.4547	+	21.5722i	0.809021	+	1.40127i
$238$	4.35727	−	16.2616i	0.282440	−	1.05408i
$239$	−7.64800	+	28.5427i	−0.494708	+	1.84627i	0.0369533	+	0.999317i	$0.488235\pi$
$239$	−7.64800	+	28.5427i	−0.494708	+	1.84627i	−0.531661	+	0.846957i	$0.678432\pi$
$240$	−3.78257	+	1.03389i	−0.244164	+	0.0667372i
$241$	−2.75650	−	10.2874i	−0.177562	−	0.662669i	−0.996101	−	0.0882189i	$-0.971883\pi$
$241$	−2.75650	−	10.2874i	−0.177562	−	0.662669i	0.818539	−	0.574450i	$-0.194784\pi$
$242$	3.87202	+	6.70653i	0.248903	+	0.431112i
$243$	0.756190	+	0.202621i	0.0485096	+	0.0129981i
$244$	1.37034	−	5.11419i	0.0877272	−	0.327403i
$245$	−36.7042	+	0.184005i	−2.34494	+	0.0117557i
$246$	−4.38799	+	1.17576i	−0.279768	+	0.0749637i
$247$	−4.32548	+	16.1429i	−0.275224	+	1.02715i
$248$	−6.16219	−	6.16219i	−0.391299	−	0.391299i
$249$	28.3707			1.79792
$250$	−9.59729	+	5.73515i	−0.606986	+	0.362723i
$251$	−18.6677	−	18.6677i	−1.17829	−	1.17829i	−0.980179	−	0.198116i	$-0.936518\pi$
$251$	−18.6677	−	18.6677i	−1.17829	−	1.17829i	−0.198116	−	0.980179i	$-0.563482\pi$
$252$	−0.352181	+	0.0943667i	−0.0221853	+	0.00594454i
$253$			15.1203i			0.950607i
$254$	2.71856	+	10.1458i	0.170578	+	0.636604i
$255$	−3.59705	−	13.1601i	−0.225256	−	0.824118i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−12.3176	+	7.11154i	−0.768348	+	0.443606i	−0.832285	−	0.554348i	$-0.812968\pi$
$257$	−12.3176	+	7.11154i	−0.768348	+	0.443606i	0.0639371	+	0.997954i	$0.479634\pi$
$258$	−1.68586	+	1.68586i	−0.104957	+	0.104957i
$259$	23.6468	−	17.5264i	1.46934	−	1.08904i
$260$	−0.0293203	−	5.84863i	−0.00181837	−	0.362716i
$261$	−0.142432	+	0.531562i	−0.00881630	+	0.0329029i
$262$	11.5306	−	3.08960i	0.712360	−	0.190876i
$263$	5.12046	+	19.1098i	0.315741	+	1.17836i	0.923298	+	0.384085i	$0.125483\pi$
$263$	5.12046	+	19.1098i	0.315741	+	1.17836i	−0.607557	+	0.794276i	$0.707850\pi$
$264$	3.05655	−	0.818999i	0.188117	−	0.0504059i
$265$	−4.24617	+	4.28895i	−0.260840	+	0.263468i
$266$	15.4589	−	26.7756i	0.947847	−	1.64172i
$267$		−	6.82518i		−	0.417694i
$268$	−2.55168	+	9.52300i	−0.155869	+	0.581710i
$269$			3.15145i			0.192147i	0.995374	+	0.0960736i	$0.0306284\pi$
$269$			3.15145i			0.192147i	−0.995374	+	0.0960736i	$0.969372\pi$
$270$	8.06869	−	8.15000i	0.491045	−	0.495993i
$271$	−6.30478	−	10.9202i	−0.382988	−	0.663355i	0.608500	−	0.793554i	$-0.291772\pi$
$271$	−6.30478	−	10.9202i	−0.382988	−	0.663355i	−0.991488	+	0.130199i	$0.958438\pi$
$272$	−3.01303	−	1.73957i	−0.182692	−	0.105477i
$273$		−	22.1956i		−	1.34334i
$274$	−4.19059	−	1.12287i	−0.253163	−	0.0678348i
$275$	7.76779	−	4.58919i	0.468415	−	0.276738i
$276$	−14.1942	−	3.80333i	−0.854393	−	0.228934i
$277$	1.64510	−	2.84940i	0.0988448	−	0.171204i	−0.812362	−	0.583154i	$-0.801819\pi$
$277$	1.64510	−	2.84940i	0.0988448	−	0.171204i	0.911207	+	0.411949i	$0.135152\pi$
$278$	−4.71138	+	8.16035i	−0.282570	+	0.489425i
$279$	−0.634265	−	0.169951i	−0.0379725	−	0.0101747i
$280$	−2.74801	+	10.4653i	−0.164225	+	0.625421i
$281$	0.778302	+	0.208545i	0.0464296	+	0.0124408i	0.281959	−	0.959426i	$-0.409016\pi$
$281$	0.778302	+	0.208545i	0.0464296	+	0.0124408i	−0.235529	+	0.971867i	$0.575682\pi$
$282$			0.252960i			0.0150635i
$283$	10.6557	+	6.15205i	0.633413	+	0.365701i	0.782073	−	0.623187i	$-0.214163\pi$
$283$	10.6557	+	6.15205i	0.633413	+	0.365701i	−0.148660	+	0.988888i	$0.547496\pi$
$284$	−5.81858	−	10.0781i	−0.345269	−	0.598023i
$285$	−0.125604	−	25.0548i	−0.00744017	−	1.48412i
$286$			4.71970i			0.279082i
$287$	−3.24427	+	12.1078i	−0.191503	+	0.714699i
$288$			0.0753490i			0.00443998i
$289$	−2.44776	+	4.23965i	−0.143986	+	0.249391i
$290$	11.6057	+	11.4899i	0.681507	+	0.674708i
$291$	−6.99372	+	1.87396i	−0.409979	+	0.109854i
$292$	1.17610	+	4.38926i	0.0688260	+	0.256862i
$293$	−11.5868	+	3.10467i	−0.676907	+	0.181377i	−0.580864	−	0.814000i	$-0.697285\pi$
$293$	−11.5868	+	3.10467i	−0.676907	+	0.181377i	−0.0960429	+	0.995377i	$0.530619\pi$
$294$	−7.45039	+	27.8053i	−0.434516	+	1.62164i
$295$	−16.8847	+	17.0549i	−0.983068	+	0.992974i
$296$	−2.23377	−	5.65776i	−0.129835	−	0.328851i
$297$	−6.54404	+	6.54404i	−0.379724	+	0.379724i
$298$	11.4067	−	6.58566i	0.660772	−	0.381497i
$299$	10.9589	−	18.9813i	0.633767	−	1.09772i
$300$	2.35422	+	8.44638i	0.135921	+	0.487652i
$301$	1.70267	+	6.35447i	0.0981405	+	0.366265i
$302$			10.5234i			0.605556i
$303$	−14.8032	+	3.96650i	−0.850420	+	0.227869i
$304$	−4.51803	−	4.51803i	−0.259127	−	0.259127i
$305$	−11.4509	−	3.00681i	−0.655676	−	0.172170i
$306$	−0.262150			−0.0149861
$307$	−19.1278	−	19.1278i	−1.09168	−	1.09168i	−0.995349	−	0.0963307i	$-0.969289\pi$
$307$	−19.1278	−	19.1278i	−1.09168	−	1.09168i	−0.0963307	−	0.995349i	$-0.530711\pi$
$308$	2.25986	−	8.43391i	0.128767	−	0.480567i
$309$	−2.02613	+	0.542900i	−0.115263	+	0.0308845i
$310$	−13.7098	+	13.8480i	−0.778666	+	0.786512i
$311$	3.57605	−	13.3460i	0.202779	−	0.756782i	−0.787336	−	0.616524i	$-0.788540\pi$
$311$	3.57605	−	13.3460i	0.202779	−	0.756782i	0.990115	−	0.140258i	$-0.0447931\pi$
$312$	−4.43063	−	1.18718i	−0.250835	−	0.0672110i
$313$	−1.91505	−	3.31696i	−0.108245	−	0.187486i	0.806814	−	0.590805i	$-0.201190\pi$
$313$	−1.91505	−	3.31696i	−0.108245	−	0.187486i	−0.915059	+	0.403319i	$0.867856\pi$
$314$	−0.798519	−	2.98011i	−0.0450630	−	0.168178i
$315$	0.214956	+	0.786434i	0.0121114	+	0.0443105i
$316$	3.67632	−	13.7202i	0.206809	−	0.771822i
$317$	2.00879	−	7.49692i	0.112825	−	0.421069i	−0.886290	−	0.463131i	$-0.846726\pi$
$317$	2.00879	−	7.49692i	0.112825	−	0.421069i	0.999115	+	0.0420620i	$0.0133927\pi$
$318$	2.36664	+	4.09914i	0.132715	+	0.229868i
$319$	−9.31876	−	9.31876i	−0.521750	−	0.521750i
$320$	1.94207	+	1.10831i	0.108565	+	0.0619565i
$321$	−2.09423	+	1.20910i	−0.116888	+	0.0674855i
$322$	−28.6716	+	28.6716i	−1.59780	+	1.59780i
$323$	15.7189	−	15.7189i	0.874622	−	0.874622i
$324$	−4.61018	−	7.98507i	−0.256121	−	0.443615i
$325$	−13.0774	+	0.131123i	−0.725405	+	0.00727338i
$326$	7.99556	+	4.61624i	0.442833	+	0.255670i
$327$	−4.30460			−0.238045
$328$	2.24339	+	1.29522i	0.123871	+	0.0715168i
$329$	0.604478	+	0.348995i	0.0333259	+	0.0192407i
$330$	−1.86558	−	6.82538i	−0.102697	−	0.375725i
$331$	3.24978	+	0.870777i	0.178624	+	0.0478622i	0.347022	−	0.937857i	$-0.387193\pi$
$331$	3.24978	+	0.870777i	0.178624	+	0.0478622i	−0.168398	+	0.985719i	$0.553859\pi$
$332$	−11.4395	−	11.4395i	−0.627825	−	0.627825i
$333$	−0.358916	−	0.285036i	−0.0196685	−	0.0156199i
$334$			6.00969i			0.328836i
$335$	21.3224	+	5.59891i	1.16497	+	0.305901i
$336$	7.34891	+	4.24290i	0.400916	+	0.231469i
$337$	2.76951	−	0.742087i	0.150865	−	0.0404240i	−0.182596	−	0.983188i	$-0.558450\pi$
$337$	2.76951	−	0.742087i	0.150865	−	0.0404240i	0.333461	+	0.942764i	$0.391783\pi$
$338$	−3.07927	+	5.33346i	−0.167490	+	0.290102i
$339$	−10.4308	−	10.4308i	−0.566525	−	0.566525i
$340$	−3.85598	+	6.75676i	−0.209120	+	0.366437i
$341$	11.1192	−	11.1192i	0.602141	−	0.602141i
$342$	−0.465034	−	0.124606i	−0.0251462	−	0.00673789i
$343$	32.2138	+	32.2138i	1.73938	+	1.73938i
$344$	1.35953			0.0733011
$345$	−8.34529	+	31.7815i	−0.449296	+	1.71106i
$346$	−0.101856	−	0.380133i	−0.00547583	−	0.0204361i
$347$	13.5539			0.727613			0.363807	−	0.931474i	$-0.381477\pi$
$347$	13.5539			0.727613			0.363807	+	0.931474i	$0.381477\pi$
$348$	11.0920	−	6.40399i	0.594595	−	0.343290i
$349$	−0.794285	+	0.458581i	−0.0425171	+	0.0245473i	−0.521108	−	0.853491i	$-0.674481\pi$
$349$	−0.794285	+	0.458581i	−0.0425171	+	0.0245473i	0.478591	+	0.878038i	$0.341148\pi$
$350$	23.4316	+	6.02735i	1.25247	+	0.322176i
$351$	12.9580	−	3.47210i	0.691649	−	0.185327i
$352$	−1.56268	−	0.902215i	−0.0832912	−	0.0480882i
$353$	−11.6101	+	6.70307i	−0.617941	+	0.356768i	−0.776067	−	0.630651i	$-0.782788\pi$
$353$	−11.6101	+	6.70307i	−0.617941	+	0.356768i	0.158126	+	0.987419i	$0.449455\pi$
$354$	9.41087	+	16.3001i	0.500182	+	0.866341i
$355$	−22.4697	+	13.1235i	−1.19257	+	0.696525i
$356$	−2.75202	+	2.75202i	−0.145857	+	0.145857i
$357$	−14.7617	+	25.5680i	−0.781270	+	1.35320i
$358$	8.38206	+	2.24597i	0.443006	+	0.118703i
$359$			16.4314i			0.867219i	0.901101	+	0.433609i	$0.142760\pi$
$359$			16.4314i			0.867219i	−0.901101	+	0.433609i	$0.857240\pi$
$360$	0.168483		0.000844640i	0.00887985		4.45164e-5i
$361$	18.9011	−	10.9126i	0.994795	−	0.574345i
$362$	−7.00858			−0.368363
$363$	−3.51488	−	13.1177i	−0.184483	−	0.688501i
$364$	−8.94962	+	8.94962i	−0.469088	+	0.469088i
$365$	9.80138	−	2.67901i	0.513028	−	0.140226i
$366$	−4.64248	+	8.04102i	−0.242666	+	0.420311i
$367$	−5.83154	−	21.7636i	−0.304404	−	1.13605i	−0.933457	−	0.358688i	$-0.883224\pi$
$367$	−5.83154	−	21.7636i	−0.304404	−	1.13605i	0.629054	−	0.777362i	$-0.283443\pi$
$368$	4.18978	+	7.25691i	0.218407	+	0.378293i
$369$	0.195188			0.0101611
$370$	−12.6259	+	5.05822i	−0.656391	+	0.262964i
$371$	13.0605			0.678068
$372$	7.64130	+	13.2351i	0.396183	+	0.686209i
$373$	0.409211	+	1.52720i	0.0211881	+	0.0790752i	0.975710	−	0.219065i	$-0.0703005\pi$
$373$	0.409211	+	1.52720i	0.0211881	+	0.0790752i	−0.954522	+	0.298140i	$0.903634\pi$
$374$	3.13894	−	5.43680i	0.162311	−	0.281130i
$375$	18.8601	−	5.35880i	0.973929	−	0.276727i
$376$	0.101997	−	0.101997i	0.00526012	−	0.00526012i
$377$	4.94429	+	18.4523i	0.254644	+	0.950343i
$378$	−24.8180			−1.27650
$379$	−2.59270	+	1.49690i	−0.133178	+	0.0768904i	−0.565109	−	0.825016i	$-0.691166\pi$
$379$	−2.59270	+	1.49690i	−0.133178	+	0.0768904i	0.431931	+	0.901907i	$0.357833\pi$
$380$	−10.0518	+	10.1531i	−0.515649	+	0.520845i
$381$		−	18.4200i		−	0.943685i
$382$	7.40061	+	1.98299i	0.378648	+	0.101459i
$383$	−1.07120	+	1.85538i	−0.0547358	+	0.0948053i	−0.892095	−	0.451848i	$-0.850765\pi$
$383$	−1.07120	+	1.85538i	−0.0547358	+	0.0948053i	0.837359	+	0.546653i	$0.184098\pi$
$384$	1.24003	−	1.24003i	0.0632800	−	0.0632800i
$385$	−18.8839	−	4.95860i	−0.962413	−	0.252713i
$386$	4.95730	+	8.58629i	0.252320	+	0.437031i
$387$	0.0887152	−	0.0512197i	0.00450965	−	0.00260364i
$388$	3.57559	+	2.06437i	0.181523	+	0.104802i
$389$	−11.7125	+	3.13836i	−0.593848	+	0.159121i	−0.543211	−	0.839596i	$-0.682792\pi$
$389$	−11.7125	+	3.13836i	−0.593848	+	0.159121i	−0.0506365	+	0.998717i	$0.516125\pi$
$390$	−2.60492	+	9.92037i	−0.131905	+	0.502337i
$391$	−25.2479	+	14.5769i	−1.27684	+	0.737184i
$392$	14.2156	−	8.20741i	0.717998	−	0.414537i
$393$	−20.9341			−1.05598
$394$	−1.93074	−	7.20563i	−0.0972694	−	0.363014i
$395$	−30.7201	−	8.06660i	−1.54570	−	0.405875i
$396$	−0.135962			−0.00683234
$397$	15.5183	+	15.5183i	0.778843	+	0.778843i	0.979634	−	0.200791i	$-0.0643513\pi$
$397$	15.5183	+	15.5183i	0.778843	+	0.778843i	−0.200791	+	0.979634i	$0.564351\pi$
$398$	8.41810	+	2.25562i	0.421961	+	0.113064i
$399$	−38.3390	+	38.3390i	−1.91935	+	1.91935i
$400$	2.45646	−	4.35497i	0.122823	−	0.217749i
$401$	−13.6332	−	13.6332i	−0.680808	−	0.680808i	0.279375	−	0.960182i	$-0.409873\pi$
$401$	−13.6332	−	13.6332i	−0.680808	−	0.680808i	−0.960182	+	0.279375i	$0.909873\pi$
$402$	8.64464	−	14.9730i	0.431156	−	0.746783i
$403$	−22.0175	+	5.89957i	−1.09677	+	0.293879i
$404$	7.56823	+	4.36952i	0.376534	+	0.217392i
$405$	−17.8033	+	10.3981i	−0.884651	+	0.516684i
$406$		−	35.3410i		−	1.75394i
$407$	10.2090	−	4.03068i	0.506043	−	0.199793i
$408$	4.31425	+	4.31425i	0.213587	+	0.213587i
$409$	24.9978	+	6.69813i	1.23606	+	0.331201i	0.816936	−	0.576728i	$-0.195671\pi$
$409$	24.9978	+	6.69813i	1.23606	+	0.331201i	0.419124	+	0.907929i	$0.362337\pi$
$410$	2.87103	−	5.03084i	0.141790	−	0.248455i
$411$	6.58884	+	3.80407i	0.325004	+	0.187641i
$412$	1.03587	+	0.598063i	0.0510339	+	0.0294644i
$413$	51.9347			2.55554
$414$	0.546801	+	0.315695i	0.0268738	+	0.0155156i
$415$	−25.4510	+	25.7074i	−1.24934	+	1.26193i
$416$	1.30781	+	2.26519i	0.0641206	+	0.111060i
$417$	11.6845	−	11.6845i	0.572193	−	0.572193i
$418$	8.15246	−	8.15246i	0.398750	−	0.398750i
$419$	−12.8156	+	7.39907i	−0.626081	+	0.361468i	−0.779233	−	0.626735i	$-0.784391\pi$
$419$	−12.8156	+	7.39907i	−0.626081	+	0.361468i	0.153152	+	0.988203i	$0.451058\pi$
$420$	9.40491	−	16.4800i	0.458913	−	0.804143i
$421$	8.16156	+	8.16156i	0.397770	+	0.397770i	0.877446	−	0.479676i	$-0.159246\pi$
$421$	8.16156	+	8.16156i	0.397770	+	0.397770i	−0.479676	+	0.877446i	$0.659246\pi$
$422$	1.80967	+	3.13444i	0.0880935	+	0.152582i
$423$	0.00281305	−	0.0104985i	0.000136775	−	0.000510452i
$424$	0.698572	−	2.60711i	0.0339257	−	0.126612i
$425$	15.1516	+	8.54639i	0.734961	+	0.414561i
$426$	5.28190	+	19.7123i	0.255909	+	0.955065i
$427$	12.8100	+	22.1875i	0.619918	+	1.07373i
$428$	1.33196	+	0.356896i	0.0643825	+	0.0172512i
$429$	2.14219	−	7.99476i	0.103426	−	0.385991i
$430$	−0.0152400	−	3.03997i	−0.000734937	−	0.146600i
$431$	−3.05539	+	0.818691i	−0.147173	+	0.0394349i	−0.331653	−	0.943401i	$-0.607606\pi$
$431$	−3.05539	+	0.818691i	−0.147173	+	0.0394349i	0.184480	+	0.982836i	$0.440940\pi$
$432$	−1.32745	+	4.95410i	−0.0638669	+	0.238354i
$433$	−18.4572	−	18.4572i	−0.886996	−	0.886996i	0.107237	−	0.994233i	$-0.465800\pi$
$433$	−18.4572	−	18.4572i	−0.886996	−	0.886996i	−0.994233	+	0.107237i	$0.965800\pi$
$434$	42.1692			2.02419
$435$	−14.4439	−	24.7304i	−0.692532	−	1.18573i
$436$	1.73568	+	1.73568i	0.0831241	+	0.0831241i
$437$	−51.7164	+	13.8574i	−2.47393	+	0.662888i
$438$		−	7.96883i		−	0.380766i
$439$	−6.74905	−	25.1878i	−0.322115	−	1.20215i	−0.917181	−	0.398472i	$-0.869541\pi$
$439$	−6.74905	−	25.1878i	−0.322115	−	1.20215i	0.595066	−	0.803677i	$-0.297126\pi$
$440$	−1.99987	+	3.50433i	−0.0953401	+	0.167063i
$441$	0.618419	−	1.07113i	0.0294485	−	0.0510064i
$442$	−7.88094	+	4.55006i	−0.374858	+	0.216424i
$443$	−6.81050	+	6.81050i	−0.323577	+	0.323577i	−0.850137	−	0.526561i	$-0.823481\pi$
$443$	−6.81050	+	6.81050i	−0.323577	+	0.323577i	0.526561	+	0.850137i	$0.323481\pi$
$444$	1.21585	+	10.5976i	0.0577018	+	0.502941i
$445$	6.18448	+	6.12279i	0.293173	+	0.290248i
$446$	−0.934023	+	3.48582i	−0.0442272	+	0.165058i
$447$	−22.3111	+	5.97823i	−1.05528	+	0.282761i
$448$	−1.25240	−	4.67400i	−0.0591701	−	0.220826i
$449$	13.6000	−	3.64411i	0.641823	−	0.171976i	0.0767941	−	0.997047i	$-0.475532\pi$
$449$	13.6000	−	3.64411i	0.641823	−	0.171976i	0.565029	+	0.825071i	$0.308865\pi$
$450$	−0.00377730	−	0.376726i	−0.000178063	−	0.0177590i
$451$	−2.33714	+	4.04805i	−0.110052	+	0.190615i
$452$			8.41175i			0.395656i
$453$	4.77640	−	17.8258i	0.224415	−	0.837528i
$454$		−	12.4513i		−	0.584369i
$455$	20.1120	+	19.9114i	0.942867	+	0.933460i
$456$	5.60249	+	9.70379i	0.262361	+	0.454422i
$457$	16.4208	+	9.48058i	0.768135	+	0.443483i	0.832209	−	0.554462i	$-0.187076\pi$
$457$	16.4208	+	9.48058i	0.768135	+	0.443483i	−0.0640742	+	0.997945i	$0.520409\pi$
$458$		−	17.9767i		−	0.839994i
$459$	−17.2361	−	4.61839i	−0.804510	−	0.215568i
$460$	16.1798	−	9.44986i	0.754386	−	0.440602i
$461$	3.92362	+	1.05133i	0.182741	+	0.0489654i	0.349029	−	0.937112i	$-0.386511\pi$
$461$	3.92362	+	1.05133i	0.182741	+	0.0489654i	−0.166288	+	0.986077i	$0.553178\pi$
$462$	−7.65601	+	13.2606i	−0.356190	+	0.616939i
$463$	0.600566	−	1.04021i	0.0279107	−	0.0483427i	−0.851733	−	0.523977i	$-0.824448\pi$
$463$	0.600566	−	1.04021i	0.0279107	−	0.0483427i	0.879643	+	0.475634i	$0.157781\pi$
$464$	−7.05467	−	1.89029i	−0.327505	−	0.0877547i
$465$	29.5086	−	17.2346i	1.36843	−	0.799236i
$466$	−13.3555	−	3.57860i	−0.618682	−	0.165775i
$467$		−	35.6633i		−	1.65030i	−0.564914	−	0.825150i	$-0.691091\pi$
$467$		−	35.6633i		−	1.65030i	0.564914	−	0.825150i	$-0.308909\pi$
$468$	0.170680	+	0.0985420i	0.00788968	+	0.00455511i
$469$	−23.8531	−	41.3148i	−1.10143	−	1.90774i
$470$	−0.229214	−	0.226927i	−0.0105728	−	0.0104674i
$471$			5.41048i			0.249302i
$472$	2.77785	−	10.3671i	0.127861	−	0.477184i
$473$			2.45318i			0.112797i
$474$	−12.4547	+	21.5722i	−0.572064	+	0.990845i
$475$	22.8155	+	22.3625i	1.04685	+	1.02606i
$476$	16.2616	−	4.35727i	0.745347	−	0.199715i
$477$	−0.0526367	−	0.196443i	−0.00241007	−	0.00899450i
$478$	−28.5427	+	7.64800i	−1.30551	+	0.349811i
$479$	−9.09174	+	33.9308i	−0.415412	+	1.55034i	0.368597	+	0.929589i	$0.379838\pi$
$479$	−9.09174	+	33.9308i	−0.415412	+	1.55034i	−0.784009	+	0.620750i	$0.786828\pi$
$480$	−2.78666	−	2.75886i	−0.127193	−	0.125924i
$481$	−15.7373	−	2.33935i	−0.717557	−	0.106665i
$482$	7.53089	−	7.53089i	0.343023	−	0.343023i
$483$	61.5806	−	35.5536i	2.80202	−	1.61774i
$484$	−3.87202	+	6.70653i	−0.176001	+	0.304842i
$485$	4.57593	−	8.01831i	0.207782	−	0.364093i
$486$	0.202621	+	0.756190i	0.00919105	+	0.0343015i
$487$			34.6270i			1.56910i	0.620065	+	0.784551i	$0.287106\pi$
$487$			34.6270i			1.56910i	−0.620065	+	0.784551i	$0.712894\pi$
$488$	5.11419	−	1.37034i	0.231509	−	0.0620325i
$489$	−11.4485	−	11.4485i	−0.517721	−	0.517721i
$490$	−18.5114	−	31.6947i	−0.836262	−	1.43182i
$491$	−38.1904			−1.72351			−0.861754	−	0.507327i	$-0.830634\pi$
$491$	−38.1904			−1.72351			−0.861754	+	0.507327i	$0.830634\pi$
$492$	−3.21223	−	3.21223i	−0.144819	−	0.144819i
$493$	6.57661	−	24.5443i	0.296196	−	1.10542i
$494$	−16.1429	+	4.32548i	−0.726304	+	0.194613i
$495$	0.00152409	+	0.304016i	6.85029e−5	+	0.0136645i
$496$	2.25552	−	8.41771i	0.101276	−	0.377966i
$497$	54.3921	+	14.5743i	2.43982	+	0.653748i
$498$	14.1853	+	24.5697i	0.635660	+	1.10100i
$499$	−9.53373	−	35.5804i	−0.426788	−	1.59280i	−0.759986	−	0.649939i	$-0.774794\pi$
$499$	−9.53373	−	35.5804i	−0.426788	−	1.59280i	0.333198	−	0.942857i	$-0.391872\pi$
$500$	−9.76543	−	5.44392i	−0.436723	−	0.243460i
$501$	2.72770	−	10.1799i	0.121864	−	0.454804i
$502$	6.83285	−	25.5005i	0.304965	−	1.13815i
$503$	−13.3228	−	23.0758i	−0.594034	−	1.02890i	−0.993682	−	0.112229i	$-0.964201\pi$
$503$	−13.3228	−	23.0758i	−0.594034	−	1.02890i	0.399648	−	0.916669i	$-0.369132\pi$
$504$	−0.257815	−	0.257815i	−0.0114840	−	0.0114840i
$505$	9.68558	−	16.9718i	0.431003	−	0.755237i
$506$	−13.0946	+	7.56016i	−0.582125	+	0.336090i
$507$	7.63678	−	7.63678i	0.339161	−	0.339161i
$508$	−7.42724	+	7.42724i	−0.329530	+	0.329530i
$509$	−12.6773	−	21.9577i	−0.561910	−	0.973257i	−0.997330	−	0.0730294i	$-0.976733\pi$
$509$	−12.6773	−	21.9577i	−0.561910	−	0.973257i	0.435420	−	0.900228i	$-0.356600\pi$
$510$	9.59847	−	9.69519i	0.425027	−	0.429310i
$511$	−19.0425	−	10.9942i	−0.842390	−	0.486354i
$512$	−1.00000			−0.0441942
$513$	−28.3802	−	16.3853i	−1.25302	−	0.723430i
$514$	−12.3176	−	7.11154i	−0.543304	−	0.313677i
$515$	1.32568	−	2.32296i	0.0584164	−	0.102362i
$516$	−2.30293	−	0.617069i	−0.101381	−	0.0271649i
$517$	0.184047	+	0.184047i	0.00809439	+	0.00809439i
$518$	27.0017	+	11.7156i	1.18639	+	0.514752i
$519$			0.690143i			0.0302939i
$520$	5.05040	−	2.94971i	0.221475	−	0.129353i
$521$	−20.7644	−	11.9884i	−0.909707	−	0.525220i	−0.0293701	−	0.999569i	$-0.509350\pi$
$521$	−20.7644	−	11.9884i	−0.909707	−	0.525220i	−0.880337	+	0.474349i	$0.842683\pi$
$522$	−0.531562	+	0.142432i	−0.0232659	+	0.00623407i
$523$	−19.7392	+	34.1892i	−0.863133	+	1.49499i	0.00575557	+	0.999983i	$0.498168\pi$
$523$	−19.7392	+	34.1892i	−0.863133	+	1.49499i	−0.868889	+	0.495007i	$0.835165\pi$
$524$	8.44095	+	8.44095i	0.368745	+	0.368745i
$525$	−36.9554	−	20.8450i	−1.61287	−	0.909751i
$526$	−13.9894	+	13.9894i	−0.609965	+	0.609965i
$527$	29.2865	+	7.84728i	1.27574	+	0.341833i
$528$	2.23755	+	2.23755i	0.0973767	+	0.0973767i
$529$	47.2170			2.05291
$530$	−5.83743	−	1.53281i	−0.253562	−	0.0665810i
$531$	−0.209308	−	0.781149i	−0.00908320	−	0.0338990i
$532$	30.9178			1.34046
$533$	5.86786	−	3.38781i	0.254165	−	0.146742i
$534$	5.91078	−	3.41259i	0.255785	−	0.147677i
$535$	0.783104	−	2.98231i	0.0338565	−	0.128936i
$536$	−9.52300	+	2.55168i	−0.411331	+	0.110216i
$537$	−13.1791	−	7.60894i	−0.568719	−	0.328350i
$538$	−2.72923	+	1.57572i	−0.117666	+	0.0679343i
$539$	14.8097	+	25.6511i	0.637898	+	1.10487i
$540$	11.0925	+	2.91269i	0.477343	+	0.125342i
$541$	−24.9396	+	24.9396i	−1.07224	+	1.07224i	−0.0750574	+	0.997179i	$0.523914\pi$
$541$	−24.9396	+	24.9396i	−1.07224	+	1.07224i	−0.997179	+	0.0750574i	$0.976086\pi$
$542$	6.30478	−	10.9202i	0.270813	−	0.469063i
$543$	11.8719	+	3.18107i	0.509473	+	0.136513i
$544$		−	3.47915i		−	0.149167i
$545$	3.86160	−	3.90051i	0.165413	−	0.167080i
$546$	19.2219	−	11.0978i	0.822624	−	0.474942i
$547$	27.6892			1.18391			0.591953	−	0.805973i	$-0.298357\pi$
$547$	27.6892			1.18391			0.591953	+	0.805973i	$0.298357\pi$
$548$	−1.12287	−	4.19059i	−0.0479664	−	0.179013i
$549$	0.282095	−	0.282095i	0.0120395	−	0.0120395i
$550$	7.85825	+	4.43251i	0.335077	+	0.189003i
$551$	23.3328	−	40.4136i	0.994011	−	1.72168i
$552$	−3.80333	−	14.1942i	−0.161881	−	0.604147i
$553$	34.3663	+	59.5241i	1.46140	+	2.53122i
$554$	3.29021			0.139788
$555$	23.6831	−	2.83749i	1.00529	−	0.120445i
$556$	−9.42276			−0.399614
$557$	−7.77630	−	13.4690i	−0.329492	−	0.570698i	0.652919	−	0.757428i	$-0.273544\pi$
$557$	−7.77630	−	13.4690i	−0.329492	−	0.570698i	−0.982411	+	0.186730i	$0.940211\pi$
$558$	−0.169951	−	0.634265i	−0.00719460	−	0.0268506i
$559$	1.77801	−	3.07960i	0.0752018	−	0.130253i
$560$	−10.4372	+	2.85280i	−0.441053	+	0.120553i
$561$	−7.78476	+	7.78476i	−0.328673	+	0.328673i
$562$	0.208545	+	0.778302i	0.00879696	+	0.0328307i
$563$	−6.39301			−0.269433			−0.134717	−	0.990884i	$-0.543012\pi$
$563$	−6.39301			−0.269433			−0.134717	+	0.990884i	$0.543012\pi$
$564$	−0.219070	+	0.126480i	−0.00922449	+	0.00532576i
$565$	18.8090	−	0.0942933i	0.791301	−	0.00396695i
$566$			12.3041i			0.517180i
$567$	43.0960	+	11.5476i	1.80986	+	0.484952i
$568$	5.81858	−	10.0781i	0.244142	−	0.422866i
$569$	0.679587	−	0.679587i	0.0284897	−	0.0284897i	−0.692718	−	0.721208i	$-0.743587\pi$
$569$	0.679587	−	0.679587i	0.0284897	−	0.0284897i	0.721208	+	0.692718i	$0.243587\pi$
$570$	21.6353	−	12.6362i	0.906202	−	0.529271i
$571$	−15.2224	−	26.3660i	−0.637038	−	1.10338i	−0.986079	−	0.166275i	$-0.946826\pi$
$571$	−15.2224	−	26.3660i	−0.637038	−	1.10338i	0.349042	−	0.937107i	$-0.386507\pi$
$572$	−4.08738	+	2.35985i	−0.170902	+	0.0986703i
$573$	−11.6359	−	6.71802i	−0.486099	−	0.280649i
$574$	−12.1078	+	3.24427i	−0.505369	+	0.135413i
$575$	−21.3116	−	36.0727i	−0.888757	−	1.50433i
$576$	−0.0652541	+	0.0376745i	−0.00271892	+	0.00156977i
$577$	6.16200	−	3.55763i	0.256527	−	0.148106i	−0.366222	−	0.930527i	$-0.619349\pi$
$577$	6.16200	−	3.55763i	0.256527	−	0.148106i	0.622749	+	0.782421i	$0.286016\pi$
$578$	−4.89553			−0.203627
$579$	−4.50006	−	16.7945i	−0.187016	−	0.697954i
$580$	−4.14769	+	15.7957i	−0.172224	+	0.655882i
$581$	78.2831			3.24773
$582$	−5.11976	−	5.11976i	−0.212221	−	0.212221i
$583$	4.70434	+	1.26052i	0.194834	+	0.0522056i
$584$	−3.21316	+	3.21316i	−0.132962	+	0.132962i
$585$	0.218431	−	0.382752i	0.00903100	−	0.0158248i
$586$	−8.48211	−	8.48211i	−0.350393	−	0.350393i
$587$	−9.06433	+	15.6999i	−0.374125	+	0.648003i	−0.990196	−	0.139687i	$-0.955390\pi$
$587$	−9.06433	+	15.6999i	−0.374125	+	0.648003i	0.616071	+	0.787691i	$0.288724\pi$
$588$	−27.8053	+	7.45039i	−1.14667	+	0.307249i
$589$	48.2219	+	27.8409i	1.98695	+	1.14717i
$590$	−23.2123	−	6.09517i	−0.955637	−	0.250934i
$591$			13.0820i			0.538123i
$592$	3.78288	−	4.76338i	0.155475	−	0.195774i
$593$	8.04997	+	8.04997i	0.330573	+	0.330573i	0.852804	−	0.522231i	$-0.174900\pi$
$593$	8.04997	+	8.04997i	0.330573	+	0.330573i	−0.522231	+	0.852804i	$0.674900\pi$
$594$	−8.93933	−	2.39529i	−0.366785	−	0.0982798i
$595$	−9.92532	−	36.3126i	−0.406898	−	1.48867i
$596$	11.4067	+	6.58566i	0.467237	+	0.269759i
$597$	−13.2357	−	7.64166i	−0.541703	−	0.312752i
$598$	21.9177			0.896282
$599$	−0.467718	−	0.270037i	−0.0191104	−	0.0110334i	0.490414	−	0.871489i	$-0.336845\pi$
$599$	−0.467718	−	0.270037i	−0.0191104	−	0.0110334i	−0.509525	+	0.860456i	$0.670179\pi$
$600$	−6.13767	+	6.26200i	−0.250570	+	0.255645i
$601$	19.1979	+	33.2517i	0.783097	+	1.35636i	0.930129	+	0.367232i	$0.119695\pi$
$601$	19.1979	+	33.2517i	0.783097	+	1.35636i	−0.147032	+	0.989132i	$0.546972\pi$
$602$	−4.65179	+	4.65179i	−0.189593	+	0.189593i
$603$	−0.525281	+	0.525281i	−0.0213911	+	0.0213911i
$604$	−9.11356	+	5.26172i	−0.370826	+	0.214096i
$605$	15.0395	+	8.58281i	0.611441	+	0.348941i
$606$	−10.8367	−	10.8367i	−0.440210	−	0.440210i
$607$	−6.71310	−	11.6274i	−0.272476	−	0.471943i	0.697019	−	0.717053i	$-0.254509\pi$
$607$	−6.71310	−	11.6274i	−0.272476	−	0.471943i	−0.969495	+	0.245110i	$0.921176\pi$
$608$	1.65371	−	6.17174i	0.0670669	−	0.250297i
$609$	−16.0407	+	59.8645i	−0.650000	+	2.42583i
$610$	−3.12147	−	11.4202i	−0.126385	−	0.462389i
$611$	−0.0976506	−	0.364437i	−0.00395052	−	0.0147435i
$612$	−0.131075	−	0.227029i	−0.00529840	−	0.00917709i
$613$	10.8976	+	2.92001i	0.440151	+	0.117938i	0.472087	−	0.881552i	$-0.343501\pi$
$613$	10.8976	+	2.92001i	0.440151	+	0.117938i	−0.0319365	+	0.999490i	$0.510167\pi$
$614$	7.00125	−	26.1290i	0.282548	−	1.05448i
$615$	−7.14668	+	7.21869i	−0.288182	+	0.291086i
$616$	8.43391	−	2.25986i	0.339812	−	0.0910524i
$617$	−1.50639	+	5.62193i	−0.0606450	+	0.226330i	−0.989596	−	0.143872i	$-0.954045\pi$
$617$	−1.50639	+	5.62193i	−0.0606450	+	0.226330i	0.928951	+	0.370202i	$0.120711\pi$
$618$	−1.48323	−	1.48323i	−0.0596643	−	0.0596643i
$619$	−31.6242			−1.27108			−0.635542	−	0.772066i	$-0.719223\pi$
$619$	−31.6242			−1.27108			−0.635542	+	0.772066i	$0.719223\pi$
$620$	−18.8476	−	4.94907i	−0.756938	−	0.198759i
$621$	30.3898	+	30.3898i	1.21950	+	1.21950i
$622$	13.3460	−	3.57605i	0.535126	−	0.143387i
$623$		−	18.8327i		−	0.754516i
$624$	−1.18718	−	4.43063i	−0.0475254	−	0.177367i
$625$	−12.0634	+	21.8969i	−0.482535	+	0.875877i
$626$	1.91505	−	3.31696i	0.0765407	−	0.132572i
$627$	−17.5098	+	10.1093i	−0.699275	+	0.403726i
$628$	2.18159	−	2.18159i	0.0870551	−	0.0870551i
$629$	16.5725	+	13.1612i	0.660789	+	0.524772i
$630$	−0.573594	+	0.579374i	−0.0228525	+	0.0230828i
$631$	0.368325	−	1.37461i	0.0146628	−	0.0547222i	−0.958207	−	0.286076i	$-0.907649\pi$
$631$	0.368325	−	1.37461i	0.0146628	−	0.0547222i	0.972870	+	0.231354i	$0.0743156\pi$
$632$	13.7202	−	3.67632i	0.545761	−	0.146236i
$633$	−1.64276	−	6.13085i	−0.0652937	−	0.243680i
$634$	7.49692	−	2.00879i	0.297741	−	0.0797793i
$635$	16.6909	+	16.5243i	0.662357	+	0.655749i
$636$	−2.36664	+	4.09914i	−0.0938434	+	0.162542i
$637$		−	42.9349i		−	1.70114i
$638$	3.41090	−	12.7297i	0.135039	−	0.503972i
$639$		−	0.876847i		−	0.0346875i
$640$	0.0112097	+	2.23604i	0.000443102	+	0.0883872i
$641$	−10.9917	−	19.0382i	−0.434147	−	0.751964i	0.563079	−	0.826403i	$-0.309617\pi$
$641$	−10.9917	−	19.0382i	−0.434147	−	0.751964i	−0.997226	+	0.0744390i	$0.976283\pi$
$642$	−2.09423	−	1.20910i	−0.0826525	−	0.0477195i
$643$			44.3917i			1.75064i	0.483546	+	0.875319i	$0.339349\pi$
$643$			44.3917i			1.75064i	−0.483546	+	0.875319i	$0.660651\pi$
$644$	−39.1661	−	10.4945i	−1.54336	−	0.413542i
$645$	−1.35397	+	5.15636i	−0.0533127	+	0.203032i
$646$	21.4724	+	5.75351i	0.844820	+	0.226369i
$647$	−18.1902	+	31.5064i	−0.715132	+	1.23865i	0.247776	+	0.968817i	$0.420300\pi$
$647$	−18.1902	+	31.5064i	−0.715132	+	1.23865i	−0.962908	+	0.269828i	$0.913033\pi$
$648$	4.61018	−	7.98507i	0.181105	−	0.313683i
$649$	18.7067	+	5.01244i	0.734301	+	0.196755i
$650$	−6.65227	−	11.2598i	−0.260924	−	0.441647i
$651$	−71.4309	−	19.1399i	−2.79960	−	0.750150i
$652$			9.23247i			0.361572i
$653$	21.5913	+	12.4658i	0.844934	+	0.487823i	0.858938	−	0.512079i	$-0.171125\pi$
$653$	21.5913	+	12.4658i	0.844934	+	0.487823i	−0.0140044	+	0.999902i	$0.504458\pi$
$654$	−2.15230	−	3.72789i	−0.0841615	−	0.145772i
$655$	18.7797	−	18.9689i	0.733783	−	0.741177i
$656$			2.59045i			0.101140i
$657$	−0.0886178	+	0.330726i	−0.00345731	+	0.0129029i
$658$			0.697991i			0.0272105i
$659$	9.94693	−	17.2286i	0.387477	−	0.671131i	−0.604632	−	0.796505i	$-0.706680\pi$
$659$	9.94693	−	17.2286i	0.387477	−	0.671131i	0.992110	+	0.125374i	$0.0400132\pi$
$660$	4.97816	−	5.02833i	0.193775	−	0.195727i
$661$	−36.1647	+	9.69031i	−1.40665	+	0.376909i	−0.880726	−	0.473625i	$-0.842945\pi$
$661$	−36.1647	+	9.69031i	−1.40665	+	0.376909i	−0.525919	+	0.850535i	$0.676278\pi$
$662$	0.870777	+	3.24978i	0.0338437	+	0.126306i
$663$	15.4148	−	4.13039i	0.598662	−	0.160411i
$664$	4.18715	−	15.6267i	0.162493	−	0.606432i
$665$	−0.346580	−	69.1335i	−0.0134398	−	2.68088i
$666$	0.0673905	−	0.453348i	0.00261133	−	0.0175669i
$667$	−43.2752	+	43.2752i	−1.67562	+	1.67562i
$668$	−5.20455	+	3.00485i	−0.201370	+	0.116261i
$669$	3.16430	−	5.48074i	0.122339	−	0.211898i
$670$	5.81241	+	21.2652i	0.224553	+	0.821546i
$671$	2.47269	+	9.22820i	0.0954571	+	0.356251i
$672$			8.48579i			0.327347i
$673$	24.0710	−	6.44979i	0.927867	−	0.248621i	0.236922	−	0.971529i	$-0.423861\pi$
$673$	24.0710	−	6.44979i	0.927867	−	0.248621i	0.690945	+	0.722907i	$0.257195\pi$
$674$	2.02742	+	2.02742i	0.0780933	+	0.0780933i
$675$	6.38855	−	24.8358i	0.245896	−	0.955931i
$676$	−6.15854			−0.236867
$677$	−7.00253	−	7.00253i	−0.269129	−	0.269129i	0.559620	−	0.828749i	$-0.310947\pi$
$677$	−7.00253	−	7.00253i	−0.269129	−	0.269129i	−0.828749	+	0.559620i	$0.810947\pi$
$678$	3.81795	−	14.2488i	0.146627	−	0.547221i
$679$	−19.2977	+	5.17081i	−0.740579	+	0.198438i
$680$	−7.77951	+	0.0390002i	−0.298331	+	0.00149559i
$681$	−5.65143	+	21.0914i	−0.216563	+	0.808225i
$682$	15.1892	+	4.06992i	0.581623	+	0.155845i
$683$	−21.7393	−	37.6536i	−0.831832	−	1.44078i	−0.896584	−	0.442874i	$-0.853959\pi$
$683$	−21.7393	−	37.6536i	−0.831832	−	1.44078i	0.0647514	−	0.997901i	$-0.479375\pi$
$684$	−0.124606	−	0.465034i	−0.00476441	−	0.0177810i
$685$	−9.35774	+	2.55775i	−0.357541	+	0.0977265i
$686$	−11.7911	+	44.0049i	−0.450185	+	1.68011i
$687$	−8.15929	+	30.4509i	−0.311296	+	1.16177i
$688$	0.679767	+	1.17739i	0.0259159	+	0.0448876i
$689$	−4.99200	−	4.99200i	−0.190180	−	0.190180i
$690$	−31.6962	+	8.66352i	−1.20666	+	0.329815i
$691$	33.4252	−	19.2981i	1.27156	−	0.734133i	0.296276	−	0.955102i	$-0.404255\pi$
$691$	33.4252	−	19.2981i	1.27156	−	0.734133i	0.975281	+	0.220969i	$0.0709220\pi$
$692$	0.278277	−	0.278277i	0.0105785	−	0.0105785i
$693$	0.465208	−	0.465208i	0.0176718	−	0.0176718i
$694$	6.77697	+	11.7381i	0.257250	+	0.445570i
$695$	0.105626	+	21.0697i	0.00400664	+	0.799218i
$696$	11.0920	+	6.40399i	0.420442	+	0.242742i
$697$	−9.01256			−0.341375
$698$	−0.794285	−	0.458581i	−0.0300641	−	0.0173575i
$699$	20.9988	+	12.1237i	0.794248	+	0.458559i
$700$	6.49597	+	23.3061i	0.245525	+	0.880886i
$701$	48.7459	+	13.0614i	1.84111	+	0.493323i	0.998946	−	0.0459030i	$-0.0146165\pi$
$701$	48.7459	+	13.0614i	1.84111	+	0.493323i	0.842161	+	0.539226i	$0.181283\pi$
$702$	9.48594	+	9.48594i	0.358024	+	0.358024i
$703$	23.1426	+	31.2242i	0.872838	+	1.17764i
$704$		−	1.80443i		−	0.0680070i
$705$	0.285270	+	0.488431i	0.0107439	+	0.0183954i
$706$	−11.6101	−	6.70307i	−0.436950	−	0.252273i
$707$	−40.8463	+	10.9447i	−1.53618	+	0.411619i
$708$	−9.41087	+	16.3001i	−0.353682	+	0.612596i
$709$	−25.9991	−	25.9991i	−0.976416	−	0.976416i	0.0233124	−	0.999728i	$-0.492579\pi$
$709$	−25.9991	−	25.9991i	−0.976416	−	0.976416i	−0.999728	+	0.0233124i	$0.992579\pi$
$710$	−22.6002	−	12.8976i	−0.848170	−	0.484038i
$711$	0.756797	−	0.756797i	0.0283821	−	0.0283821i
$712$	−3.75933	−	1.00731i	−0.140887	−	0.0377506i
$713$	−51.6364	−	51.6364i	−1.93380	−	1.93380i
$714$	−29.5233			−1.10488
$715$	5.32254	+	9.11309i	0.199052	+	0.340810i
$716$	2.24597	+	8.38206i	0.0839357	+	0.313252i
$717$	51.8201			1.93526
$718$	−14.2301	+	8.21572i	−0.531061	+	0.306608i
$719$	16.5495	−	9.55486i	0.617192	−	0.356336i	−0.158583	−	0.987346i	$-0.550692\pi$
$719$	16.5495	−	9.55486i	0.617192	−	0.356336i	0.775775	+	0.631010i	$0.217359\pi$
$720$	0.0849731	+	0.145488i	0.00316676	+	0.00542204i
$721$	−5.59069	+	1.49802i	−0.208208	+	0.0557893i
$722$	18.9011	+	10.9126i	0.703426	+	0.406123i
$723$	−16.1748	+	9.33853i	−0.601548	+	0.347304i
$724$	−3.50429	−	6.06961i	−0.130236	−	0.225575i
$725$	35.3664	+	9.09734i	1.31347	+	0.337867i
$726$	9.60283	−	9.60283i	0.356395	−	0.356395i
$727$	7.58505	−	13.1377i	0.281314	−	0.487250i	−0.690395	−	0.723433i	$-0.742563\pi$
$727$	7.58505	−	13.1377i	0.281314	−	0.487250i	0.971709	+	0.236183i	$0.0758965\pi$
$728$	−12.2254	−	3.27579i	−0.453104	−	0.121409i
$729$			26.2882i			0.973638i
$730$	7.22078	+	7.14874i	0.267253	+	0.264587i
$731$	−4.09632	+	2.36501i	−0.151508	+	0.0874730i
$732$	−9.28497			−0.343182
$733$	−8.37175	−	31.2438i	−0.309218	−	1.15402i	−0.929253	−	0.369443i	$-0.879549\pi$
$733$	−8.37175	−	31.2438i	−0.309218	−	1.15402i	0.620036	−	0.784574i	$-0.287118\pi$
$734$	15.9321	−	15.9321i	0.588063	−	0.588063i
$735$	16.9711	+	62.0901i	0.625987	+	2.29023i
$736$	−4.18978	+	7.25691i	−0.154437	+	0.267493i
$737$	−4.60433	−	17.1836i	−0.169603	−	0.632965i
$738$	0.0975938	+	0.169037i	0.00359248	+	0.00622235i
$739$	1.49398			0.0549568			0.0274784	−	0.999622i	$-0.491252\pi$
$739$	1.49398			0.0549568			0.0274784	+	0.999622i	$0.491252\pi$
$740$	−10.6935	−	8.40528i	−0.393102	−	0.308984i
$741$	29.3079			1.07665
$742$	6.53026	+	11.3107i	0.239733	+	0.415230i
$743$	1.81344	+	6.76786i	0.0665288	+	0.248289i	0.991179	−	0.132528i	$-0.0423095\pi$
$743$	1.81344	+	6.76786i	0.0665288	+	0.248289i	−0.924650	+	0.380817i	$0.875643\pi$
$744$	−7.64130	+	13.2351i	−0.280144	+	0.485223i
$745$	14.5979	−	25.5797i	0.534827	−	0.937166i
$746$	−1.11799	+	1.11799i	−0.0409323	+	0.0409323i
$747$	−0.315498	−	1.17745i	−0.0115435	−	0.0430807i
$748$	6.27788			0.229542
$749$	−5.77859	+	3.33627i	−0.211145	+	0.121905i
$750$	14.0709	+	13.6539i	0.513796	+	0.498570i
$751$			3.01004i			0.109838i	0.998491	+	0.0549190i	$0.0174901\pi$
$751$			3.01004i			0.109838i	−0.998491	+	0.0549190i	$0.982510\pi$
$752$	0.139331	+	0.0373337i	0.00508088	+	0.00136142i
$753$	−23.1485	+	40.0944i	−0.843578	+	1.46112i
$754$	−13.5080	+	13.5080i	−0.491934	+	0.491934i
$755$	11.8676	+	20.3193i	0.431905	+	0.739495i
$756$	−12.4090	−	21.4930i	−0.451311	−	0.781693i
$757$	−36.7380	+	21.2107i	−1.33527	+	0.770916i	−0.986101	−	0.166145i	$-0.946868\pi$
$757$	−36.7380	+	21.2107i	−1.33527	+	0.770916i	−0.349165	+	0.937061i	$0.613535\pi$
$758$	−2.59270	−	1.49690i	−0.0941712	−	0.0543698i
$759$	25.6125	−	6.86285i	0.929675	−	0.249106i
$760$	−13.8188	−	3.62858i	−0.501260	−	0.131623i
$761$	17.0535	−	9.84585i	0.618189	−	0.356912i	−0.157975	−	0.987443i	$-0.550496\pi$
$761$	17.0535	−	9.84585i	0.618189	−	0.356912i	0.776164	+	0.630532i	$0.217163\pi$
$762$	15.9522	−	9.21000i	0.577887	−	0.333643i
$763$	−11.8776			−0.430000
$764$	1.98299	+	7.40061i	0.0717420	+	0.267745i
$765$	−0.506176	+	0.295634i	−0.0183008	+	0.0106887i
$766$	−2.14240			−0.0774082
$767$	−19.8505	−	19.8505i	−0.716761	−	0.716761i
$768$	1.69391	+	0.453882i	0.0611238	+	0.0163781i
$769$	12.9133	−	12.9133i	0.465667	−	0.465667i	−0.434841	−	0.900507i	$-0.643195\pi$
$769$	12.9133	−	12.9133i	0.465667	−	0.465667i	0.900507	+	0.434841i	$0.143195\pi$
$770$	−5.14768	−	18.8332i	−0.185509	−	0.678703i
$771$	17.6371	+	17.6371i	0.635183	+	0.635183i
$772$	−4.95730	+	8.58629i	−0.178417	+	0.309028i
$773$	−1.30168	+	0.348784i	−0.0468181	+	0.0125449i	−0.282152	−	0.959370i	$-0.591048\pi$
$773$	−1.30168	+	0.348784i	−0.0468181	+	0.0125449i	0.235334	+	0.971915i	$0.424382\pi$
$774$	0.0887152	+	0.0512197i	0.00318880	+	0.00184105i
$775$	−10.8550	+	42.1995i	−0.389924	+	1.51585i
$776$			4.12874i			0.148213i
$777$	−40.4211	−	32.1007i	−1.45010	−	1.15161i
$778$	−8.57415	−	8.57415i	−0.307398	−	0.307398i
$779$	−15.9876	−	4.28386i	−0.572814	−	0.153485i
$780$	−9.89375	+	2.70425i	−0.354253	+	0.0968279i
$781$	18.1852	+	10.4992i	0.650716	+	0.375691i
$782$	−25.2479	−	14.5769i	−0.902862	−	0.521267i
$783$	−37.4589			−1.33867
$784$	14.2156	+	8.20741i	0.507702	+	0.293122i
$785$	−4.90259	−	4.85368i	−0.174981	−	0.173235i
$786$	−10.4670	−	18.1294i	−0.373347	−	0.646656i
$787$	16.1500	−	16.1500i	0.575684	−	0.575684i	−0.358027	−	0.933711i	$-0.616551\pi$
$787$	16.1500	−	16.1500i	0.575684	−	0.575684i	0.933711	+	0.358027i	$0.116551\pi$
$788$	5.27489	−	5.27489i	0.187910	−	0.187910i
$789$	30.0463	−	17.3472i	1.06968	−	0.617577i
$790$	−8.37420	−	30.6377i	−0.297941	−	1.09004i
$791$	−28.7817	−	28.7817i	−1.02336	−	1.02336i
$792$	−0.0679810	−	0.117746i	−0.00241560	−	0.00418394i
$793$	3.58429	−	13.3768i	0.127282	−	0.475023i
$794$	−5.68010	+	21.1984i	−0.201579	+	0.752304i
$795$	9.19237	+	5.24595i	0.326020	+	0.186055i
$796$	2.25562	+	8.41810i	0.0799485	+	0.298372i
$797$	−3.40617	−	5.89966i	−0.120653	−	0.208977i	0.799372	−	0.600836i	$-0.205165\pi$
$797$	−3.40617	−	5.89966i	−0.120653	−	0.208977i	−0.920025	+	0.391859i	$0.871832\pi$
$798$	−52.3721	−	14.0331i	−1.85395	−	0.496765i
$799$	−0.129889	+	0.484754i	−0.00459515	+	0.0171493i
$800$	4.99975	−	0.0501307i	0.176768	−	0.00177239i
$801$	−0.283262	+	0.0758998i	−0.0100086	+	0.00268179i
$802$	4.99008	−	18.6232i	0.176206	−	0.657610i
$803$	−5.79792	−	5.79792i	−0.204604	−	0.204604i
$804$	17.2893			0.609746
$805$	−23.0271	+	87.6946i	−0.811600	+	3.09083i
$806$	−16.1179	−	16.1179i	−0.567730	−	0.567730i
$807$	5.33828	−	1.43039i	0.187916	−	0.0503520i
$808$			8.73904i			0.307438i
$809$	−7.63342	−	28.4883i	−0.268377	−	1.00160i	−0.960151	−	0.279482i	$-0.909837\pi$
$809$	−7.63342	−	28.4883i	−0.268377	−	1.00160i	0.691774	−	0.722114i	$-0.256829\pi$
$810$	−17.9066	−	10.2190i	−0.629175	−	0.359061i
$811$	24.2594	−	42.0185i	0.851863	−	1.47547i	−0.0276626	−	0.999617i	$-0.508806\pi$
$811$	24.2594	−	42.0185i	0.851863	−	1.47547i	0.879525	−	0.475852i	$-0.157860\pi$
$812$	30.6062	−	17.6705i	1.07407	−	0.620113i
$813$	−15.6362	+	15.6362i	−0.548386	+	0.548386i
$814$	8.59519	+	6.82594i	0.301261	+	0.239249i
$815$	20.6442	−	0.103493i	0.723134	−	0.00362521i
$816$	−1.57912	+	5.89337i	−0.0552804	+	0.206309i
$817$	−8.39069	+	2.24828i	−0.293553	+	0.0786573i
$818$	6.69813	+	24.9978i	0.234195	+	0.874026i
$819$	−0.921172	+	0.246827i	−0.0321883	+	0.00862484i
$820$	5.79235	−	0.0290382i	0.202278	−	0.00101406i
$821$	−10.2729	+	17.7932i	−0.358527	+	0.620986i	−0.987715	−	0.156267i	$-0.950054\pi$
$821$	−10.2729	+	17.7932i	−0.358527	+	0.620986i	0.629188	+	0.777253i	$0.283387\pi$
$822$			7.60814i			0.265364i
$823$	−3.48012	+	12.9880i	−0.121309	+	0.452733i	−0.999681	−	0.0252450i	$-0.991963\pi$
$823$	−3.48012	+	12.9880i	−0.121309	+	0.452733i	0.878372	+	0.477978i	$0.158630\pi$
$824$			1.19613i			0.0416690i
$825$	−11.2993	−	11.0750i	−0.393393	−	0.385582i
$826$	25.9674	+	44.9768i	0.903520	+	1.56494i
$827$	−36.0311	−	20.8026i	−1.25292	−	0.723376i	−0.281235	−	0.959639i	$-0.590744\pi$
$827$	−36.0311	−	20.8026i	−1.25292	−	0.723376i	−0.971689	+	0.236263i	$0.924077\pi$
$828$			0.631391i			0.0219424i
$829$	3.66209	+	0.981254i	0.127190	+	0.0340804i	0.321852	−	0.946790i	$-0.395695\pi$
$829$	3.66209	+	0.981254i	0.127190	+	0.0340804i	−0.194663	+	0.980870i	$0.562361\pi$
$830$	−34.9888	−	9.18747i	−1.21448	−	0.318902i
$831$	−5.57333	−	1.49337i	−0.193337	−	0.0518044i
$832$	−1.30781	+	2.26519i	−0.0453401	+	0.0785314i
$833$	−28.5548	+	49.4583i	−0.989365	+	1.71363i
$834$	15.9613	+	4.27683i	0.552696	+	0.148094i
$835$	6.77730	+	11.6039i	0.234538	+	0.401569i
$836$	11.1365	+	2.98401i	0.385163	+	0.103204i
$837$		−	44.6963i		−	1.54493i
$838$	−12.8156	−	7.39907i	−0.442706	−	0.255597i
$839$	3.38494	+	5.86289i	0.116861	+	0.202410i	0.918522	−	0.395369i	$-0.129383\pi$
$839$	3.38494	+	5.86289i	0.116861	+	0.202410i	−0.801661	+	0.597779i	$0.796050\pi$
$840$	18.9746	−	0.0951233i	0.654685	−	0.00328206i
$841$		−	24.3416i		−	0.839367i
$842$	−2.98734	+	11.1489i	−0.102950	+	0.384216i
$843$		−	1.41303i		−	0.0486674i
$844$	−1.80967	+	3.13444i	−0.0622915	+	0.107892i
$845$	0.0690355	+	13.7707i	0.00237489	+	0.473728i
$846$	0.0104985	−	0.00281305i	0.000360944	−	9.67147e-5i
$847$	−9.69859	−	36.1956i	−0.333248	−	1.24370i
$848$	2.60711	−	0.698572i	0.0895284	−	0.0239891i
$849$	5.58461	−	20.8421i	0.191663	−	0.715298i
$850$	0.174412	+	17.3949i	0.00598229	+	0.596639i
$851$	−18.7180	−	47.4095i	−0.641645	−	1.62518i
$852$	−14.4304	+	14.4304i	−0.494378	+	0.494378i
$853$	32.1303	−	18.5504i	1.10012	−	0.635155i	0.163868	−	0.986482i	$-0.447603\pi$
$853$	32.1303	−	18.5504i	1.10012	−	0.635155i	0.936253	+	0.351327i	$0.114269\pi$
$854$	−12.8100	+	22.1875i	−0.438348	+	0.759242i
$855$	−1.03844	+	0.283836i	−0.0355138	+	0.00970698i
$856$	0.356896	+	1.33196i	0.0121985	+	0.0455253i
$857$			2.18852i			0.0747584i	0.999301	+	0.0373792i	$0.0119009\pi$
$857$			2.18852i			0.0747584i	−0.999301	+	0.0373792i	$0.988099\pi$
$858$	7.99476	−	2.14219i	0.272937	−	0.0731331i
$859$	26.1772	+	26.1772i	0.893156	+	0.893156i	0.994819	−	0.101663i	$-0.0324164\pi$
$859$	26.1772	+	26.1772i	0.893156	+	0.893156i	−0.101663	+	0.994819i	$0.532416\pi$
$860$	2.62507	−	1.53318i	0.0895142	−	0.0522811i
$861$	21.9820			0.749145
$862$	−2.23670	−	2.23670i	−0.0761824	−	0.0761824i
$863$	−13.3742	+	49.9133i	−0.455264	+	1.69907i	0.232046	+	0.972705i	$0.425458\pi$
$863$	−13.3742	+	49.9133i	−0.455264	+	1.69907i	−0.687310	+	0.726364i	$0.741209\pi$
$864$	−4.95410	+	1.32745i	−0.168542	+	0.0451607i
$865$	−0.625357	−	0.619118i	−0.0212628	−	0.0210507i
$866$	6.75580	−	25.2130i	0.229572	−	0.856773i
$867$	8.29259	+	2.22199i	0.281631	+	0.0754629i
$868$	21.0846	+	36.5196i	0.715658	+	1.23956i
$869$	6.63366	+	24.7572i	0.225031	+	0.839829i
$870$	14.1952	−	24.8740i	0.481263	−	0.843308i
$871$	−6.67422	+	24.9085i	−0.226147	+	0.843993i
$872$	−0.635304	+	2.37099i	−0.0215141	+	0.0802917i
$873$	0.155548	+	0.269417i	0.00526451	+	0.00911839i
$874$	−37.8591	−	37.8591i	−1.28060	−	1.28060i
$875$	52.0405	−	14.7865i	1.75929	−	0.499875i
$876$	6.90121	−	3.98442i	0.233170	−	0.134621i
$877$	0.123963	−	0.123963i	0.00418594	−	0.00418594i	−0.705011	−	0.709197i	$-0.749058\pi$
$877$	0.123963	−	0.123963i	0.00418594	−	0.00418594i	0.709197	+	0.705011i	$0.249058\pi$
$878$	18.4388	−	18.4388i	0.622278	−	0.622278i
$879$	10.5181	+	18.2178i	0.354766	+	0.614473i
$880$	−4.03478	+	0.0202271i	−0.136012	+	0.000681856i
$881$	−18.6878	−	10.7894i	−0.629609	−	0.363505i	0.150992	−	0.988535i	$-0.451753\pi$
$881$	−18.6878	−	10.7894i	−0.629609	−	0.363505i	−0.780601	+	0.625030i	$0.785087\pi$
$882$	1.23684			0.0416465
$883$	−19.4688	−	11.2403i	−0.655177	−	0.378267i	0.135260	−	0.990810i	$-0.456813\pi$
$883$	−19.4688	−	11.2403i	−0.655177	−	0.378267i	−0.790437	+	0.612544i	$0.790146\pi$
$884$	−7.88094	−	4.55006i	−0.265065	−	0.153035i
$885$	36.5532	+	20.8604i	1.22872	+	0.701214i
$886$	−9.30331	−	2.49282i	−0.312551	−	0.0837478i
$887$	17.4040	+	17.4040i	0.584368	+	0.584368i	0.936100	−	0.351733i	$-0.114407\pi$
$887$	17.4040	+	17.4040i	0.584368	+	0.584368i	−0.351733	+	0.936100i	$0.614407\pi$
$888$	−8.56988	+	6.35177i	−0.287587	+	0.213151i
$889$		−	50.8262i		−	1.70466i
$890$	−2.21025	+	8.41731i	−0.0740876	+	0.282149i
$891$	14.4085	+	8.31875i	0.482703	+	0.278689i
$892$	−3.48582	+	0.934023i	−0.116714	+	0.0312734i
$893$	−0.460827	+	0.798176i	−0.0154210	+	0.0267099i
$894$	−16.3328	−	16.3328i	−0.546252	−	0.546252i
$895$	18.7174	−	5.11603i	0.625655	−	0.171010i
$896$	3.42161	−	3.42161i	0.114308	−	0.114308i
$897$	−37.1267	−	9.94807i	−1.23962	−	0.332156i
$898$	9.95588	+	9.95588i	0.332232	+	0.332232i
$899$	63.6478			2.12277
$900$	0.324366	−	0.191634i	0.0108122	−	0.00638781i
$901$	2.43044	+	9.07051i	0.0809696	+	0.302183i
$902$	−4.67428			−0.155637
$903$	9.99110	−	5.76836i	0.332483	−	0.191959i
$904$	−7.28479	+	4.20588i	−0.242289	+	0.139885i
$905$	−13.5326	+	7.90377i	−0.449839	+	0.262730i
$906$	17.8258	−	4.77640i	0.592222	−	0.158685i
$907$	18.9083	+	10.9167i	0.627839	+	0.362483i	0.779915	−	0.625886i	$-0.215262\pi$
$907$	18.9083	+	10.9167i	0.627839	+	0.362483i	−0.152076	+	0.988369i	$0.548596\pi$
$908$	10.7831	−	6.22565i	0.357851	−	0.206606i
$909$	0.329239	+	0.570258i	0.0109202	+	0.0189143i
$910$	−7.18775	+	27.3732i	−0.238272	+	0.907413i
$911$	−14.5817	+	14.5817i	−0.483114	+	0.483114i	−0.906125	−	0.423011i	$-0.860973\pi$
$911$	−14.5817	+	14.5817i	−0.483114	+	0.483114i	0.423011	+	0.906125i	$0.360973\pi$
$912$	−5.60249	+	9.70379i	−0.185517	+	0.321325i
$913$	28.1972	+	7.55542i	0.933192	+	0.250048i
$914$			18.9612i			0.627179i
$915$	0.104082	+	20.7616i	0.00344084	+	0.686356i
$916$	15.5682	−	8.98833i	0.514389	−	0.296983i
$917$	−57.7633			−1.90751
$918$	−4.61839	−	17.2361i	−0.152430	−	0.568875i
$919$	−34.7628	+	34.7628i	−1.14672	+	1.14672i	−0.159524	+	0.987194i	$0.550996\pi$
$919$	−34.7628	+	34.7628i	−1.14672	+	1.14672i	−0.987194	+	0.159524i	$0.949004\pi$
$920$	16.2737	+	9.28716i	0.536528	+	0.306189i
$921$	−23.7190	+	41.0826i	−0.781568	+	1.35372i
$922$	1.05133	+	3.92362i	0.0346238	+	0.129218i
$923$	−15.2192	−	26.3604i	−0.500945	−	0.867662i
$924$	−15.3120			−0.503729
$925$	−18.6747	+	24.0054i	−0.614019	+	0.789291i
$926$	1.20113			0.0394717
$927$	0.0450634	+	0.0780521i	0.00148008	+	0.00256357i
$928$	−1.89029	−	7.05467i	−0.0620520	−	0.231581i
$929$	7.15756	−	12.3973i	0.234832	−	0.406741i	−0.724392	−	0.689388i	$-0.757879\pi$
$929$	7.15756	−	12.3973i	0.234832	−	0.406741i	0.959224	+	0.282647i	$0.0912127\pi$
$930$	29.6799	+	16.9379i	0.973243	+	0.555415i
$931$	−74.1625	+	74.1625i	−2.43058	+	2.43058i
$932$	−3.57860	−	13.3555i	−0.117221	−	0.437474i
$933$	−24.2301			−0.793256
$934$	30.8853	−	17.8316i	1.01060	−	0.583469i
$935$	−0.0703732	−	14.0376i	−0.00230145	−	0.459078i
$936$			0.197084i			0.00644189i
$937$	−50.6544	−	13.5728i	−1.65481	−	0.443404i	−0.693855	−	0.720115i	$-0.744089\pi$
$937$	−50.6544	−	13.5728i	−1.65481	−	0.443404i	−0.960953	+	0.276711i	$0.910756\pi$
$938$	23.8531	−	41.3148i	0.778832	−	1.34898i
$939$	−4.74943	+	4.74943i	−0.154992	+	0.154992i
$940$	0.0819177	−	0.311968i	0.00267186	−	0.0101753i
$941$	−12.1789	−	21.0944i	−0.397019	−	0.687658i	0.596337	−	0.802734i	$-0.296622\pi$
$941$	−12.1789	−	21.0944i	−0.397019	−	0.687658i	−0.993357	+	0.115076i	$0.963289\pi$
$942$	−4.68562	+	2.70524i	−0.152666	+	0.0881416i
$943$	18.7987	+	10.8534i	0.612168	+	0.353436i
$944$	10.3671	−	2.77785i	0.337420	−	0.0904113i
$945$	−47.9201	+	27.9879i	−1.55884	+	0.910448i
$946$	−2.12452	+	1.22659i	−0.0690741	+	0.0398799i
$947$	47.9003	−	27.6552i	1.55655	−	0.898674i	0.558966	−	0.829191i	$-0.311198\pi$
$947$	47.9003	−	27.6552i	1.55655	−	0.898674i	0.997583	−	0.0694834i	$-0.0221351\pi$
$948$	−24.9095			−0.809021
$949$	3.07622	+	11.4806i	0.0998585	+	0.372677i
$950$	−7.95875	+	30.9400i	−0.258216	+	1.00383i
$951$	−13.6109			−0.441363
$952$	11.9043	+	11.9043i	0.385820	+	0.385820i
$953$	5.07414	+	1.35961i	0.164368	+	0.0440422i	0.340064	−	0.940402i	$-0.389551\pi$
$953$	5.07414	+	1.35961i	0.164368	+	0.0440422i	−0.175697	+	0.984444i	$0.556218\pi$
$954$	0.143806	−	0.143806i	0.00465589	−	0.00465589i
$955$	16.5258	−	4.51700i	0.534764	−	0.146167i
$956$	−20.8947	−	20.8947i	−0.675783	−	0.675783i
$957$	−11.5555	+	20.0148i	−0.373538	+	0.646986i
$958$	−33.9308	+	9.09174i	−1.09626	+	0.293741i
$959$	18.1806	+	10.4966i	0.587081	+	0.338951i
$960$	0.995911	−	3.79274i	0.0321429	−	0.122410i
$961$			44.9452i			1.44984i
$962$	−5.84269	−	14.7985i	−0.188376	−	0.477124i
$963$	0.0734697	+	0.0734697i	0.00236753	+	0.00236753i
$964$	10.2874	+	2.75650i	0.331335	+	0.0887808i
$965$	19.2549	+	10.9885i	0.619836	+	0.353731i
$966$	61.5806	+	35.5536i	1.98132	+	1.14392i
$967$	−43.3650	−	25.0368i	−1.39453	−	0.805130i	−0.400713	−	0.916204i	$-0.631238\pi$
$967$	−43.3650	−	25.0368i	−1.39453	−	0.805130i	−0.993812	+	0.111074i	$0.964571\pi$
$968$	−7.74403			−0.248903
$969$	−33.7609	−	19.4919i	−1.08456	−	0.626170i
$970$	9.23203	−	0.0462819i	0.296422	−	0.00148602i
$971$	−1.43410	−	2.48393i	−0.0460224	−	0.0797131i	0.842097	−	0.539327i	$-0.181321\pi$
$971$	−1.43410	−	2.48393i	−0.0460224	−	0.0797131i	−0.888119	+	0.459614i	$0.847988\pi$
$972$	−0.553570	+	0.553570i	−0.0177558	+	0.0177558i
$973$	32.2410	−	32.2410i	1.03360	−	1.03360i
$974$	−29.9879	+	17.3135i	−0.960874	+	0.554761i
$975$	6.15773	+	22.0925i	0.197205	+	0.707527i
$976$	3.74385	+	3.74385i	0.119838	+	0.119838i
$977$	−0.686143	−	1.18843i	−0.0219517	−	0.0380214i	0.854841	−	0.518890i	$-0.173655\pi$
$977$	−0.686143	−	1.18843i	−0.0219517	−	0.0380214i	−0.876793	+	0.480869i	$0.840321\pi$
$978$	4.19046	−	15.6390i	0.133996	−	0.500080i
$979$	1.81762	−	6.78345i	0.0580914	−	0.216800i
$980$	18.1927	−	31.8787i	0.581146	−	1.01833i
$981$	0.0478695	+	0.178651i	0.00152835	+	0.00570390i
$982$	−19.0952	−	33.0738i	−0.609352	−	1.05543i
$983$	30.4979	+	8.17188i	0.972731	+	0.260643i	0.709981	−	0.704221i	$-0.248704\pi$
$983$	30.4979	+	8.17188i	0.972731	+	0.260643i	0.262751	+	0.964864i	$0.415370\pi$
$984$	1.17576	−	4.38799i	0.0374818	−	0.139884i
$985$	−11.8540	−	11.7357i	−0.377699	−	0.373931i
$986$	24.5443	−	6.57661i	0.781648	−	0.209442i
$987$	0.316806	−	1.18234i	0.0100840	−	0.0376341i
$988$	−11.8174	−	11.8174i	−0.375963	−	0.375963i
$989$	11.3923			0.362254
$990$	−0.262524	+	0.153328i	−0.00834355	+	0.00487308i
$991$	11.5927	+	11.5927i	0.368254	+	0.368254i	0.866840	−	0.498586i	$-0.166147\pi$
$991$	11.5927	+	11.5927i	0.368254	+	0.368254i	−0.498586	+	0.866840i	$0.666147\pi$
$992$	8.41771	−	2.25552i	0.267262	−	0.0716128i
$993$		−	5.90008i		−	0.187233i
$994$	14.5743	+	54.3921i	0.462269	+	1.72521i
$995$	18.7979	−	5.13803i	0.595935	−	0.162887i
$996$	−14.1853	+	24.5697i	−0.449480	+	0.778522i
$997$	51.1355	−	29.5231i	1.61948	−	0.935006i	0.632422	−	0.774624i	$-0.282061\pi$
$997$	51.1355	−	29.5231i	1.61948	−	0.935006i	0.987055	−	0.160382i	$-0.0512725\pi$
$998$	26.0466	−	26.0466i	0.824492	−	0.824492i
$999$	12.4176	−	28.6199i	0.392877	−	0.905492i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.f.103.3	yes	32
5.2	odd	4		370.2.r.f.177.3	yes	32
37.23	odd	12		370.2.r.f.23.3	yes	32
185.97	even	12	inner	370.2.q.f.97.3	✓	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.f.97.3	✓	32	185.97	even	12	inner
370.2.q.f.103.3	yes	32	1.1	even	1	trivial
370.2.r.f.23.3	yes	32	37.23	odd	12
370.2.r.f.177.3	yes	32	5.2	odd	4

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.q (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 + 0.866025i) q^{2} +(-0.453882 - 1.69391i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.94207 + 1.10831i) q^{5} +(1.24003 - 1.24003i) q^{6} +(-1.25240 - 4.67400i) q^{7} -1.00000 q^{8} +(-0.0652541 + 0.0376745i) q^{9} +O(q^{10})\)	\(q+(0.500000 + 0.866025i) q^{2} +(-0.453882 - 1.69391i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.94207 + 1.10831i) q^{5} +(1.24003 - 1.24003i) q^{6} +(-1.25240 - 4.67400i) q^{7} -1.00000 q^{8} +(-0.0652541 + 0.0376745i) q^{9} +(0.0112097 + 2.23604i) q^{10} -1.80443i q^{11} +(1.69391 + 0.453882i) q^{12} +(-1.30781 + 2.26519i) q^{13} +(3.42161 - 3.42161i) q^{14} +(0.995911 - 3.79274i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(3.01303 - 1.73957i) q^{17} +(-0.0652541 - 0.0376745i) q^{18} +(6.17174 - 1.65371i) q^{19} +(-1.93086 + 1.12773i) q^{20} +(-7.34891 + 4.24290i) q^{21} +(1.56268 - 0.902215i) q^{22} -8.37956 q^{23} +(0.453882 + 1.69391i) q^{24} +(2.54329 + 4.30484i) q^{25} -2.61562 q^{26} +(-3.62666 - 3.62666i) q^{27} +(4.67400 + 1.25240i) q^{28} +(5.16438 - 5.16438i) q^{29} +(3.78257 - 1.03389i) q^{30} +(6.16219 + 6.16219i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-3.05655 + 0.818999i) q^{33} +(3.01303 + 1.73957i) q^{34} +(2.74801 - 10.4653i) q^{35} -0.0753490i q^{36} +(2.23377 + 5.65776i) q^{37} +(4.51803 + 4.51803i) q^{38} +(4.43063 + 1.18718i) q^{39} +(-1.94207 - 1.10831i) q^{40} +(-2.24339 - 1.29522i) q^{41} +(-7.34891 - 4.24290i) q^{42} -1.35953 q^{43} +(1.56268 + 0.902215i) q^{44} +(-0.168483 + 0.000844640i) q^{45} +(-4.18978 - 7.25691i) q^{46} +(-0.101997 + 0.101997i) q^{47} +(-1.24003 + 1.24003i) q^{48} +(-14.2156 + 8.20741i) q^{49} +(-2.45646 + 4.35497i) q^{50} +(-4.31425 - 4.31425i) q^{51} +(-1.30781 - 2.26519i) q^{52} +(-0.698572 + 2.60711i) q^{53} +(1.32745 - 4.95410i) q^{54} +(1.99987 - 3.50433i) q^{55} +(1.25240 + 4.67400i) q^{56} +(-5.60249 - 9.70379i) q^{57} +(7.05467 + 1.89029i) q^{58} +(-2.77785 + 10.3671i) q^{59} +(2.78666 + 2.75886i) q^{60} +(-5.11419 + 1.37034i) q^{61} +(-2.25552 + 8.41771i) q^{62} +(0.257815 + 0.257815i) q^{63} +1.00000 q^{64} +(-5.05040 + 2.94971i) q^{65} +(-2.23755 - 2.23755i) q^{66} +(9.52300 - 2.55168i) q^{67} +3.47915i q^{68} +(3.80333 + 14.1942i) q^{69} +(10.4372 - 2.85280i) q^{70} +(-5.81858 + 10.0781i) q^{71} +(0.0652541 - 0.0376745i) q^{72} +(3.21316 - 3.21316i) q^{73} +(-3.78288 + 4.76338i) q^{74} +(6.13767 - 6.26200i) q^{75} +(-1.65371 + 6.17174i) q^{76} +(-8.43391 + 2.25986i) q^{77} +(1.18718 + 4.43063i) q^{78} +(-13.7202 + 3.67632i) q^{79} +(-0.0112097 - 2.23604i) q^{80} +(-4.61018 + 7.98507i) q^{81} -2.59045i q^{82} +(-4.18715 + 15.6267i) q^{83} -8.48579i q^{84} +(7.77951 - 0.0390002i) q^{85} +(-0.679767 - 1.17739i) q^{86} +(-11.0920 - 6.40399i) q^{87} +1.80443i q^{88} +(3.75933 + 1.00731i) q^{89} +(-0.0849731 - 0.145488i) q^{90} +(12.2254 + 3.27579i) q^{91} +(4.18978 - 7.25691i) q^{92} +(7.64130 - 13.2351i) q^{93} +(-0.139331 - 0.0373337i) q^{94} +(13.8188 + 3.62858i) q^{95} +(-1.69391 - 0.453882i) q^{96} -4.12874i q^{97} +(-14.2156 - 8.20741i) q^{98} +(0.0679810 + 0.117746i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9 + 6 * q^10 + 10 * q^12 + 10 * q^13 - 8 * q^14 - 8 * q^15 - 16 * q^16 - 12 * q^17 + 12 * q^18 + 2 * q^19 - 54 * q^21 + 6 * q^22 + 12 * q^23 + 2 * q^24 - 16 * q^25 + 20 * q^26 + 40 * q^27 + 2 * q^28 + 6 * q^29 + 8 * q^30 - 4 * q^31 + 16 * q^32 + 26 * q^33 - 12 * q^34 - 12 * q^35 + 20 * q^37 - 26 * q^38 - 58 * q^39 - 6 * q^40 + 18 * q^41 - 54 * q^42 - 32 * q^43 + 6 * q^44 + 56 * q^45 + 6 * q^46 + 18 * q^47 - 8 * q^48 - 12 * q^49 - 14 * q^50 - 4 * q^51 + 10 * q^52 - 24 * q^53 + 20 * q^54 - 32 * q^55 + 10 * q^56 + 8 * q^57 + 36 * q^58 + 42 * q^59 + 16 * q^60 - 46 * q^61 - 14 * q^62 + 32 * q^64 - 18 * q^65 + 4 * q^66 + 50 * q^67 - 66 * q^69 + 12 * q^70 - 12 * q^71 - 12 * q^72 - 28 * q^73 + 16 * q^74 - 20 * q^75 - 28 * q^76 + 12 * q^77 - 26 * q^78 + 38 * q^79 - 6 * q^80 + 56 * q^81 - 8 * q^85 - 16 * q^86 + 18 * q^87 + 18 * q^89 + 4 * q^90 + 4 * q^91 - 6 * q^92 + 32 * q^93 + 30 * q^94 + 96 * q^95 - 10 * q^96 - 12 * q^98 - 26 * q^99

Introduction

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