LMFDB - Embedded newform 273.2.by.d.76.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(76,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 7]))

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

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

chi := DirichletCharacter("273.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.by (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:	$2.17991597518$
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			76.2
Character	$\chi$	$=$	273.76
Dual form			273.2.by.d.97.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500642 + 1.86842i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-1.50830 - 0.870817i) q^{4} +(2.44068 - 2.44068i) q^{5} +(-0.500642 - 1.86842i) q^{6} +(2.02526 - 1.70244i) q^{7} +(-0.353388 + 0.353388i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.500642 + 1.86842i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-1.50830 - 0.870817i) q^{4} +(2.44068 - 2.44068i) q^{5} +(-0.500642 - 1.86842i) q^{6} +(2.02526 - 1.70244i) q^{7} +(-0.353388 + 0.353388i) q^{8} +(0.500000 - 0.866025i) q^{9} +(3.33831 + 5.78213i) q^{10} +(2.85290 + 0.764433i) q^{11} +1.74163 q^{12} +(3.60488 + 0.0697642i) q^{13} +(2.16695 + 4.63635i) q^{14} +(-0.893352 + 3.33403i) q^{15} +(-2.22499 - 3.85380i) q^{16} +(-0.667729 + 1.15654i) q^{17} +(1.36778 + 1.36778i) q^{18} +(-1.32547 - 4.94673i) q^{19} +(-5.80667 + 1.55589i) q^{20} +(-0.902706 + 2.48699i) q^{21} +(-2.85656 + 4.94771i) q^{22} +(-7.61450 + 4.39623i) q^{23} +(0.129349 - 0.482736i) q^{24} -6.91386i q^{25} +(-1.93510 + 6.70049i) q^{26} +1.00000i q^{27} +(-4.53722 + 0.804162i) q^{28} +(3.97913 + 6.89205i) q^{29} +(-5.78213 - 3.33831i) q^{30} +(-2.04259 + 2.04259i) q^{31} +(7.34896 - 1.96915i) q^{32} +(-2.85290 + 0.764433i) q^{33} +(-1.82661 - 1.82661i) q^{34} +(0.787896 - 9.09815i) q^{35} +(-1.50830 + 0.870817i) q^{36} +(4.73577 + 1.26895i) q^{37} +9.90616 q^{38} +(-3.15680 + 1.74202i) q^{39} +1.72501i q^{40} +(-1.45657 - 0.390287i) q^{41} +(-4.19481 - 2.93172i) q^{42} +(-0.212417 - 0.122639i) q^{43} +(-3.63735 - 3.63735i) q^{44} +(-0.893352 - 3.33403i) q^{45} +(-4.40187 - 16.4280i) q^{46} +(-1.13049 - 1.13049i) q^{47} +(3.85380 + 2.22499i) q^{48} +(1.20337 - 6.89579i) q^{49} +(12.9180 + 3.46137i) q^{50} -1.33546i q^{51} +(-5.37648 - 3.24441i) q^{52} +2.62146 q^{53} +(-1.86842 - 0.500642i) q^{54} +(8.82877 - 5.09729i) q^{55} +(-0.114080 + 1.31732i) q^{56} +(3.62126 + 3.62126i) q^{57} +(-14.8694 + 3.98423i) q^{58} +(3.96915 - 1.06353i) q^{59} +(4.25078 - 4.25078i) q^{60} +(-7.82911 - 4.52014i) q^{61} +(-2.79382 - 4.83903i) q^{62} +(-0.461729 - 2.60515i) q^{63} +5.81681i q^{64} +(8.96863 - 8.62809i) q^{65} -5.71313i q^{66} +(-2.97553 + 11.1048i) q^{67} +(2.01427 - 1.16294i) q^{68} +(4.39623 - 7.61450i) q^{69} +(16.6047 + 6.02703i) q^{70} +(-11.0479 + 2.96028i) q^{71} +(0.129349 + 0.482736i) q^{72} +(1.06136 + 1.06136i) q^{73} +(-4.74184 + 8.21311i) q^{74} +(3.45693 + 5.98758i) q^{75} +(-2.30849 + 8.61540i) q^{76} +(7.07928 - 3.30873i) q^{77} +(-1.67440 - 6.77035i) q^{78} +7.65266 q^{79} +(-14.8364 - 3.97540i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(1.45844 - 2.52609i) q^{82} +(-10.1314 + 10.1314i) q^{83} +(3.52726 - 2.96503i) q^{84} +(1.19303 + 4.45246i) q^{85} +(0.335486 - 0.335486i) q^{86} +(-6.89205 - 3.97913i) q^{87} +(-1.27832 + 0.738039i) q^{88} +(4.11486 - 15.3569i) q^{89} +6.67662 q^{90} +(7.41959 - 5.99581i) q^{91} +15.3133 q^{92} +(0.747641 - 2.79024i) q^{93} +(2.67819 - 1.54626i) q^{94} +(-15.3085 - 8.83835i) q^{95} +(-5.37981 + 5.37981i) q^{96} +(3.28484 + 12.2592i) q^{97} +(12.2818 + 5.70072i) q^{98} +(2.08847 - 2.08847i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{7}{12}\right)$	$-1$

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 $

$2$	−0.500642	+	1.86842i	−0.354007	+	1.32117i	0.527722	+	0.849417i	$0.323046\pi$
$2$	−0.500642	+	1.86842i	−0.354007	+	1.32117i	−0.881729	+	0.471755i	$0.843621\pi$
$3$	−0.866025	+	0.500000i	−0.500000	+	0.288675i
$3$	−0.866025	+	0.500000i	−0.500000	+	0.288675i
$4$	−1.50830	−	0.870817i	−0.754150	−	0.435408i
$5$	2.44068	−	2.44068i	1.09151	−	1.09151i	0.0961385	−	0.995368i	$-0.469351\pi$
$5$	2.44068	−	2.44068i	1.09151	−	1.09151i	0.995368	−	0.0961385i	$-0.0306492\pi$
$6$	−0.500642	−	1.86842i	−0.204386	−	0.762779i
$7$	2.02526	−	1.70244i	0.765477	−	0.643463i
$7$	2.02526	−	1.70244i	0.765477	−	0.643463i
$8$	−0.353388	+	0.353388i	−0.124941	+	0.124941i
$9$	0.500000	−	0.866025i	0.166667	−	0.288675i
$10$	3.33831	+	5.78213i	1.05567	+	1.82847i
$11$	2.85290	+	0.764433i	0.860183	+	0.230485i	0.661838	−	0.749647i	$-0.269777\pi$
$11$	2.85290	+	0.764433i	0.860183	+	0.230485i	0.198345	+	0.980132i	$0.436443\pi$
$12$	1.74163			0.502766
$13$	3.60488	+	0.0697642i	0.999813	+	0.0193491i
$13$	3.60488	+	0.0697642i	0.999813	+	0.0193491i
$14$	2.16695	+	4.63635i	0.579142	+	1.23912i
$15$	−0.893352	+	3.33403i	−0.230662	+	0.860844i
$16$	−2.22499	−	3.85380i	−0.556247	−	0.963449i
$17$	−0.667729	+	1.15654i	−0.161948	+	0.280502i	−0.935567	−	0.353149i	$-0.885111\pi$
$17$	−0.667729	+	1.15654i	−0.161948	+	0.280502i	0.773619	+	0.633651i	$0.218444\pi$
$18$	1.36778	+	1.36778i	0.322388	+	0.322388i
$19$	−1.32547	−	4.94673i	−0.304084	−	1.13486i	−0.933731	−	0.357977i	$-0.883467\pi$
$19$	−1.32547	−	4.94673i	−0.304084	−	1.13486i	0.629646	−	0.776882i	$-0.283200\pi$
$20$	−5.80667	+	1.55589i	−1.29841	+	0.347908i
$21$	−0.902706	+	2.48699i	−0.196987	+	0.542706i
$22$	−2.85656	+	4.94771i	−0.609022	+	1.05486i
$23$	−7.61450	+	4.39623i	−1.58773	+	0.916678i	−0.594053	+	0.804426i	$0.702473\pi$
$23$	−7.61450	+	4.39623i	−1.58773	+	0.916678i	−0.993680	+	0.112253i	$0.964193\pi$
$24$	0.129349	−	0.482736i	0.0264032	−	0.0985381i
$25$		−	6.91386i		−	1.38277i
$26$	−1.93510	+	6.70049i	−0.379504	+	1.31408i
$27$			1.00000i			0.192450i
$28$	−4.53722	+	0.804162i	−0.857454	+	0.151972i
$29$	3.97913	+	6.89205i	0.738905	+	1.27982i	0.952989	+	0.303006i	$0.0979901\pi$
$29$	3.97913	+	6.89205i	0.738905	+	1.27982i	−0.214084	+	0.976815i	$0.568677\pi$
$30$	−5.78213	−	3.33831i	−1.05567	−	0.609490i
$31$	−2.04259	+	2.04259i	−0.366861	+	0.366861i	−0.866331	−	0.499470i	$-0.833528\pi$
$31$	−2.04259	+	2.04259i	−0.366861	+	0.366861i	0.499470	+	0.866331i	$0.333528\pi$
$32$	7.34896	−	1.96915i	1.29912	−	0.348099i
$33$	−2.85290	+	0.764433i	−0.496627	+	0.133071i
$34$	−1.82661	−	1.82661i	−0.313261	−	0.313261i
$35$	0.787896	−	9.09815i	0.133179	−	1.53787i
$36$	−1.50830	+	0.870817i	−0.251383	+	0.145136i
$37$	4.73577	+	1.26895i	0.778555	+	0.208613i	0.626148	−	0.779704i	$-0.284631\pi$
$37$	4.73577	+	1.26895i	0.778555	+	0.208613i	0.152408	+	0.988318i	$0.451297\pi$
$38$	9.90616			1.60699
$39$	−3.15680	+	1.74202i	−0.505492	+	0.278947i
$40$			1.72501i			0.272749i
$41$	−1.45657	−	0.390287i	−0.227478	−	0.0609527i	0.143279	−	0.989682i	$-0.454235\pi$
$41$	−1.45657	−	0.390287i	−0.227478	−	0.0609527i	−0.370758	+	0.928730i	$0.620902\pi$
$42$	−4.19481	−	2.93172i	−0.647273	−	0.452375i
$43$	−0.212417	−	0.122639i	−0.0323933	−	0.0187023i	0.483716	−	0.875225i	$-0.339287\pi$
$43$	−0.212417	−	0.122639i	−0.0323933	−	0.0187023i	−0.516109	+	0.856523i	$0.672620\pi$
$44$	−3.63735	−	3.63735i	−0.548351	−	0.548351i
$45$	−0.893352	−	3.33403i	−0.133173	−	0.497009i
$46$	−4.40187	−	16.4280i	−0.649021	−	2.42218i
$47$	−1.13049	−	1.13049i	−0.164899	−	0.164899i	0.619834	−	0.784733i	$-0.287200\pi$
$47$	−1.13049	−	1.13049i	−0.164899	−	0.164899i	−0.784733	+	0.619834i	$0.787200\pi$
$48$	3.85380	+	2.22499i	0.556247	+	0.321150i
$49$	1.20337	−	6.89579i	0.171910	−	0.985113i
$50$	12.9180	+	3.46137i	1.82688	+	0.489511i
$51$		−	1.33546i		−	0.187001i
$52$	−5.37648	−	3.24441i	−0.745584	−	0.449919i
$53$	2.62146			0.360085			0.180043	−	0.983659i	$-0.442376\pi$
$53$	2.62146			0.360085			0.180043	+	0.983659i	$0.442376\pi$
$54$	−1.86842	−	0.500642i	−0.254260	−	0.0681287i
$55$	8.82877	−	5.09729i	1.19047	−	0.687319i
$56$	−0.114080	+	1.31732i	−0.0152446	+	0.176035i
$57$	3.62126	+	3.62126i	0.479648	+	0.479648i
$58$	−14.8694	+	3.98423i	−1.95244	+	0.523155i
$59$	3.96915	−	1.06353i	0.516739	−	0.138460i	0.00898130	−	0.999960i	$-0.497141\pi$
$59$	3.96915	−	1.06353i	0.516739	−	0.138460i	0.507758	+	0.861500i	$0.330474\pi$
$60$	4.25078	−	4.25078i	0.548773	−	0.548773i
$61$	−7.82911	−	4.52014i	−1.00241	−	0.578744i	−0.0934527	−	0.995624i	$-0.529790\pi$
$61$	−7.82911	−	4.52014i	−1.00241	−	0.578744i	−0.908962	+	0.416879i	$0.863124\pi$
$62$	−2.79382	−	4.83903i	−0.354815	−	0.614558i
$63$	−0.461729	−	2.60515i	−0.0581723	−	0.328218i
$64$			5.81681i			0.727101i
$65$	8.96863	−	8.62809i	1.11242	−	1.07018i
$66$		−	5.71313i		−	0.703238i
$67$	−2.97553	+	11.1048i	−0.363519	+	1.35667i	0.505898	+	0.862593i	$0.331161\pi$
$67$	−2.97553	+	11.1048i	−0.363519	+	1.35667i	−0.869417	+	0.494079i	$0.835505\pi$
$68$	2.01427	−	1.16294i	0.244266	−	0.141027i
$69$	4.39623	−	7.61450i	0.529244	−	0.916678i
$70$	16.6047	+	6.02703i	1.98464	+	0.720368i
$71$	−11.0479	+	2.96028i	−1.31115	+	0.351320i	−0.845654	−	0.533732i	$-0.820789\pi$
$71$	−11.0479	+	2.96028i	−1.31115	+	0.351320i	−0.465492	+	0.885052i	$0.654123\pi$
$72$	0.129349	+	0.482736i	0.0152439	+	0.0568910i
$73$	1.06136	+	1.06136i	0.124222	+	0.124222i	0.766485	−	0.642262i	$-0.222004\pi$
$73$	1.06136	+	1.06136i	0.124222	+	0.124222i	−0.642262	+	0.766485i	$0.722004\pi$
$74$	−4.74184	+	8.21311i	−0.551228	+	0.954755i
$75$	3.45693	+	5.98758i	0.399172	+	0.691386i
$76$	−2.30849	+	8.61540i	−0.264802	+	0.988254i
$77$	7.07928	−	3.30873i	0.806759	−	0.377065i
$78$	−1.67440	−	6.77035i	−0.189589	−	0.766591i
$79$	7.65266			0.860992			0.430496	−	0.902593i	$-0.358339\pi$
$79$	7.65266			0.860992			0.430496	+	0.902593i	$0.358339\pi$
$80$	−14.8364	−	3.97540i	−1.65876	−	0.444463i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	1.45844	−	2.52609i	0.161058	−	0.278960i
$83$	−10.1314	+	10.1314i	−1.11207	+	1.11207i	−0.119194	+	0.992871i	$0.538031\pi$
$83$	−10.1314	+	10.1314i	−1.11207	+	1.11207i	−0.992871	+	0.119194i	$0.961969\pi$
$84$	3.52726	−	2.96503i	0.384856	−	0.323512i
$85$	1.19303	+	4.45246i	0.129403	+	0.482937i
$86$	0.335486	−	0.335486i	0.0361763	−	0.0361763i
$87$	−6.89205	−	3.97913i	−0.738905	−	0.426607i
$88$	−1.27832	+	0.738039i	−0.136270	+	0.0786753i
$89$	4.11486	−	15.3569i	0.436174	−	1.62782i	−0.302067	−	0.953287i	$-0.597677\pi$
$89$	4.11486	−	15.3569i	0.436174	−	1.62782i	0.738241	−	0.674537i	$-0.235657\pi$
$90$	6.67662			0.703778
$91$	7.41959	−	5.99581i	0.777784	−	0.628531i
$92$	15.3133			1.59652
$93$	0.747641	−	2.79024i	0.0775268	−	0.289334i
$94$	2.67819	−	1.54626i	0.276235	−	0.159484i
$95$	−15.3085	−	8.83835i	−1.57062	−	0.906795i
$96$	−5.37981	+	5.37981i	−0.549074	+	0.549074i
$97$	3.28484	+	12.2592i	0.333525	+	1.24473i	0.905459	+	0.424433i	$0.139527\pi$
$97$	3.28484	+	12.2592i	0.333525	+	1.24473i	−0.571934	+	0.820300i	$0.693807\pi$
$98$	12.2818	+	5.70072i	1.24065	+	0.575860i
$99$	2.08847	−	2.08847i	0.209899	−	0.209899i
$100$	−6.02071	+	10.4282i	−0.602071	+	1.04282i
$101$	−4.49790	−	7.79059i	−0.447558	−	0.775192i	0.550669	−	0.834724i	$-0.314373\pi$
$101$	−4.49790	−	7.79059i	−0.447558	−	0.775192i	−0.998226	+	0.0595314i	$0.981039\pi$
$102$	2.49519	+	0.668585i	0.247061	+	0.0661998i
$103$	−6.31734			−0.622466			−0.311233	−	0.950334i	$-0.600742\pi$
$103$	−6.31734			−0.622466			−0.311233	+	0.950334i	$0.600742\pi$
$104$	−1.29857	+	1.24926i	−0.127335	+	0.122500i
$105$	3.86673	+	8.27317i	0.377355	+	0.807379i
$106$	−1.31241	+	4.89799i	−0.127473	+	0.475735i
$107$	−9.52494	−	16.4977i	−0.920810	−	1.59489i	−0.798164	−	0.602440i	$-0.794195\pi$
$107$	−9.52494	−	16.4977i	−0.920810	−	1.59489i	−0.122646	−	0.992450i	$-0.539138\pi$
$108$	0.870817	−	1.50830i	0.0837944	−	0.145136i
$109$	−9.27465	−	9.27465i	−0.888351	−	0.888351i	0.106014	−	0.994365i	$-0.466191\pi$
$109$	−9.27465	−	9.27465i	−0.888351	−	0.888351i	−0.994365	+	0.106014i	$0.966191\pi$
$110$	5.10383	+	19.0478i	0.486631	+	1.81613i
$111$	−4.73577	+	1.26895i	−0.449499	+	0.120443i
$112$	−11.0671	−	4.01702i	−1.04574	−	0.379573i
$113$	−3.53376	+	6.12066i	−0.332429	+	0.575783i	−0.982987	−	0.183673i	$-0.941201\pi$
$113$	−3.53376	+	6.12066i	−0.332429	+	0.575783i	0.650559	+	0.759456i	$0.274535\pi$
$114$	−8.57899	+	4.95308i	−0.803496	+	0.463899i
$115$	−7.85477	+	29.3144i	−0.732461	+	2.73358i
$116$		−	13.8604i		−	1.28690i
$117$	1.86286	−	3.08703i	0.172221	−	0.285396i
$118$			7.94848i			0.731717i
$119$	0.616619	+	3.47907i	0.0565254	+	0.318925i
$120$	−0.862507	−	1.49391i	−0.0787357	−	0.136374i
$121$	−1.97158	−	1.13829i	−0.179234	−	0.103481i
$122$	12.3651	−	12.3651i	1.11948	−	1.11948i
$123$	1.45657	−	0.390287i	0.131335	−	0.0351910i
$124$	4.85957	−	1.30212i	0.436402	−	0.116934i
$125$	−4.67113	−	4.67113i	−0.417799	−	0.417799i
$126$	5.09867	+	0.441543i	0.454226	+	0.0393358i
$127$	12.2515	−	7.07343i	1.08715	−	0.627665i	0.154332	−	0.988019i	$-0.450677\pi$
$127$	12.2515	−	7.07343i	1.08715	−	0.627665i	0.932816	+	0.360354i	$0.117344\pi$
$128$	3.82967	+	1.02616i	0.338498	+	0.0907002i
$129$	0.245278			0.0215955
$130$	11.6308	+	21.0767i	1.02009	+	1.84855i
$131$			9.97987i			0.871945i	0.899960	+	0.435973i	$0.143596\pi$
$131$			9.97987i			0.871945i	−0.899960	+	0.435973i	$0.856404\pi$
$132$	4.96871	+	1.33136i	0.432471	+	0.115880i
$133$	−11.1060	−	7.76189i	−0.963009	−	0.673041i
$134$	−19.2588	−	11.1191i	−1.66371	−	0.960543i
$135$	2.44068	+	2.44068i	0.210061	+	0.210061i
$136$	−0.172740	−	0.644674i	−0.0148123	−	0.0552803i
$137$	−0.141310	−	0.527376i	−0.0120729	−	0.0450567i	0.959627	−	0.281277i	$-0.0907580\pi$
$137$	−0.141310	−	0.527376i	−0.0120729	−	0.0450567i	−0.971700	+	0.236220i	$0.924091\pi$
$138$	12.0261	+	12.0261i	1.02373	+	1.02373i
$139$	−2.89550	−	1.67172i	−0.245593	−	0.141793i	0.372152	−	0.928172i	$-0.378620\pi$
$139$	−2.89550	−	1.67172i	−0.245593	−	0.141793i	−0.617745	+	0.786379i	$0.711953\pi$
$140$	−9.11120	+	13.0366i	−0.770037	+	1.10179i
$141$	1.54427	+	0.413787i	0.130051	+	0.0348472i
$142$		−	22.1242i		−	1.85662i
$143$	10.2310	+	2.95472i	0.855562	+	0.247086i
$144$	−4.44998			−0.370832
$145$	26.5331	+	7.10952i	2.20345	+	0.590413i
$146$	−2.51442	+	1.45170i	−0.208095	+	0.120144i
$147$	2.40574	+	6.57361i	0.198422	+	0.542182i
$148$	−6.03794	−	6.03794i	−0.496315	−	0.496315i
$149$	−8.56339	+	2.29455i	−0.701540	+	0.187977i	−0.591920	−	0.805996i	$-0.701630\pi$
$149$	−8.56339	+	2.29455i	−0.701540	+	0.187977i	−0.109620	+	0.993974i	$0.534963\pi$
$150$	−12.9180	+	3.46137i	−1.05475	+	0.282619i
$151$	−10.4345	+	10.4345i	−0.849144	+	0.849144i	−0.990026	−	0.140882i	$-0.955006\pi$
$151$	−10.4345	+	10.4345i	−0.849144	+	0.849144i	0.140882	+	0.990026i	$0.455006\pi$
$152$	2.21652	+	1.27971i	0.179784	+	0.103798i
$153$	0.667729	+	1.15654i	0.0539827	+	0.0935007i
$154$	2.63792	+	14.8836i	0.212569	+	1.19935i
$155$			9.97065i			0.800862i
$156$	6.27837	+	0.121504i	0.502672	+	0.00972808i
$157$		−	1.05925i		−	0.0845376i	−0.999106	−	0.0422688i	$-0.986541\pi$
$157$		−	1.05925i		−	0.0845376i	0.999106	−	0.0422688i	$-0.0134586\pi$
$158$	−3.83124	+	14.2984i	−0.304797	+	1.13752i
$159$	−2.27025	+	1.31073i	−0.180043	+	0.103948i
$160$	13.1304	−	22.7425i	1.03805	−	1.79795i
$161$	−7.93702	+	21.8668i	−0.625525	+	1.72334i
$162$	1.86842	−	0.500642i	0.146797	−	0.0393341i
$163$	2.76615	+	10.3234i	0.216661	+	0.808591i	0.985575	+	0.169239i	$0.0541309\pi$
$163$	2.76615	+	10.3234i	0.216661	+	0.808591i	−0.768914	+	0.639353i	$0.779202\pi$
$164$	1.85708	+	1.85708i	0.145013	+	0.145013i
$165$	−5.09729	+	8.82877i	−0.396824	+	0.687319i
$166$	−13.8575	−	24.0019i	−1.07555	−	1.86291i
$167$	−0.203527	+	0.759573i	−0.0157494	+	0.0587775i	−0.973353	−	0.229310i	$-0.926353\pi$
$167$	−0.203527	+	0.759573i	−0.0157494	+	0.0587775i	0.957604	+	0.288088i	$0.0930196\pi$
$168$	−0.559866	−	1.19788i	−0.0431946	−	0.0924182i
$169$	12.9903	+	0.502983i	0.999251	+	0.0386910i
$170$	−8.91635			−0.683853
$171$	−4.94673	−	1.32547i	−0.378286	−	0.101361i
$172$	0.213592	+	0.369952i	0.0162862	+	0.0282086i
$173$	2.78559	−	4.82478i	0.211784	−	0.366821i	−0.740489	−	0.672069i	$-0.765406\pi$
$173$	2.78559	−	4.82478i	0.211784	−	0.366821i	0.952273	+	0.305248i	$0.0987392\pi$
$174$	10.8851	−	10.8851i	0.825199	−	0.825199i
$175$	−11.7705	−	14.0024i	−0.889763	−	1.05848i
$176$	−3.40171	−	12.6954i	−0.256414	−	0.956949i
$177$	−2.90562	+	2.90562i	−0.218400	+	0.218400i
$178$	26.6330	+	15.3766i	1.99623	+	1.15252i
$179$	−3.04329	+	1.75705i	−0.227466	+	0.131328i	−0.609403	−	0.792861i	$-0.708591\pi$
$179$	−3.04329	+	1.75705i	−0.227466	+	0.131328i	0.381936	+	0.924189i	$0.375257\pi$
$180$	−1.55589	+	5.80667i	−0.115969	+	0.432803i
$181$	−23.3185			−1.73325			−0.866624	−	0.498961i	$-0.833715\pi$
$181$	−23.3185			−1.73325			−0.866624	+	0.498961i	$0.833715\pi$
$182$	7.48813	+	16.8647i	0.555057	+	1.25009i
$183$	9.04027			0.668276
$184$	1.13730	−	4.24444i	0.0838425	−	0.312905i
$185$	14.6556	−	8.46141i	1.07750	−	0.622096i
$186$	4.83903	+	2.79382i	0.354815	+	0.204853i
$187$	−2.78906	+	2.78906i	−0.203956	+	0.203956i
$188$	0.720666	+	2.68956i	0.0525599	+	0.196156i
$189$	1.70244	+	2.02526i	0.123835	+	0.147316i
$190$	24.1778	−	24.1778i	1.75404	−	1.75404i
$191$	6.95240	−	12.0419i	0.503058	−	0.871322i	−0.496936	−	0.867787i	$-0.665542\pi$
$191$	6.95240	−	12.0419i	0.503058	−	0.871322i	0.999994	−	0.00353445i	$-0.00112505\pi$
$192$	−2.90841	−	5.03751i	−0.209896	−	0.363551i
$193$	2.80644	+	0.751984i	0.202012	+	0.0541290i	0.358406	−	0.933566i	$-0.383320\pi$
$193$	2.80644	+	0.751984i	0.202012	+	0.0541290i	−0.156394	+	0.987695i	$0.549987\pi$
$194$	−24.5499			−1.76258
$195$	−3.45302	+	11.9565i	−0.247276	+	0.856220i
$196$	−7.82001	+	9.35300i	−0.558572	+	0.668071i
$197$	0.210804	−	0.786731i	0.0150192	−	0.0560523i	−0.958010	−	0.286736i	$-0.907430\pi$
$197$	0.210804	−	0.786731i	0.0150192	−	0.0560523i	0.973029	+	0.230684i	$0.0740963\pi$
$198$	2.85656	+	4.94771i	0.203007	+	0.351619i
$199$	0.861092	−	1.49145i	0.0610412	−	0.105726i	−0.833890	−	0.551931i	$-0.813891\pi$
$199$	0.861092	−	1.49145i	0.0610412	−	0.105726i	0.894931	+	0.446204i	$0.147225\pi$
$200$	2.44327	+	2.44327i	0.172766	+	0.172766i
$201$	−2.97553	−	11.1048i	−0.209878	−	0.783275i
$202$	16.8079	−	4.50367i	1.18260	−	0.316877i
$203$	19.7921	+	7.18396i	1.38913	+	0.504215i
$204$	−1.16294	+	2.01427i	−0.0814220	+	0.141027i
$205$	−4.50760	+	2.60246i	−0.314824	+	0.181764i
$206$	3.16272	−	11.8034i	0.220357	−	0.822385i
$207$			8.79247i			0.611119i
$208$	−7.75196	−	14.0477i	−0.537501	−	0.974031i
$209$		−	15.1258i		−	1.04627i
$210$	−17.3936	+	3.08279i	−1.20027	+	0.212733i
$211$	−1.84269	−	3.19163i	−0.126856	−	0.219721i	0.795601	−	0.605821i	$-0.207155\pi$
$211$	−1.84269	−	3.19163i	−0.126856	−	0.219721i	−0.922457	+	0.386100i	$0.873822\pi$
$212$	−3.95395	−	2.28281i	−0.271558	−	0.156784i
$213$	8.08763	−	8.08763i	0.554155	−	0.554155i
$214$	35.5932	−	9.53716i	2.43310	−	0.651947i
$215$	−0.817765	+	0.219119i	−0.0557711	+	0.0149438i
$216$	−0.353388	−	0.353388i	−0.0240450	−	0.0240450i
$217$	−0.659386	+	7.61419i	−0.0447621	+	0.516885i
$218$	21.9722	−	12.6857i	1.48815	−	0.859182i
$219$	−1.44984	−	0.388484i	−0.0979711	−	0.0262513i
$220$	−17.7552			−1.19706
$221$	−2.48776	+	4.12260i	−0.167345	+	0.277316i
$222$		−	9.48369i		−	0.636503i
$223$	18.0743	+	4.84300i	1.21035	+	0.324311i	0.806898	−	0.590691i	$-0.201145\pi$
$223$	18.0743	+	4.84300i	1.21035	+	0.324311i	0.403449	+	0.915002i	$0.367811\pi$
$224$	11.5312	−	16.4992i	0.770461	−	1.10240i
$225$	−5.98758	−	3.45693i	−0.399172	−	0.230462i
$226$	−9.66681	−	9.66681i	−0.643027	−	0.643027i
$227$	−0.339915	−	1.26858i	−0.0225609	−	0.0841985i	0.953727	−	0.300672i	$-0.0972111\pi$
$227$	−0.339915	−	1.26858i	−0.0225609	−	0.0841985i	−0.976288	+	0.216474i	$0.930544\pi$
$228$	−2.30849	−	8.61540i	−0.152883	−	0.570569i
$229$	6.99659	+	6.99659i	0.462348	+	0.462348i	0.899424	−	0.437077i	$-0.143986\pi$
$229$	6.99659	+	6.99659i	0.462348	+	0.462348i	−0.437077	+	0.899424i	$0.643986\pi$
$230$	−50.8392	−	29.3520i	−3.35224	−	1.93541i
$231$	−4.47647	+	6.40509i	−0.294530	+	0.421424i
$232$	−3.84174	−	1.02939i	−0.252222	−	0.0675828i
$233$			24.7335i			1.62035i	0.586189	+	0.810174i	$0.300627\pi$
$233$			24.7335i			1.62035i	−0.586189	+	0.810174i	$0.699373\pi$
$234$	4.83525	+	5.02609i	0.316090	+	0.328566i
$235$	−5.51832			−0.359976
$236$	−6.91280	−	1.85228i	−0.449985	−	0.120573i
$237$	−6.62740	+	3.82633i	−0.430496	+	0.248547i
$238$	−6.80906	−	0.589662i	−0.441366	−	0.0382221i
$239$	−7.30351	−	7.30351i	−0.472425	−	0.472425i	0.430274	−	0.902698i	$-0.358417\pi$
$239$	−7.30351	−	7.30351i	−0.472425	−	0.472425i	−0.902698	+	0.430274i	$0.858417\pi$
$240$	14.8364	−	3.97540i	0.957684	−	0.256611i
$241$	−8.63024	+	2.31247i	−0.555923	+	0.148959i	−0.525833	−	0.850588i	$-0.676246\pi$
$241$	−8.63024	+	2.31247i	−0.555923	+	0.148959i	−0.0300903	+	0.999547i	$0.509579\pi$
$242$	3.11386	−	3.11386i	0.200166	−	0.200166i
$243$	0.866025	+	0.500000i	0.0555556	+	0.0320750i
$244$	7.87242	+	13.6354i	0.503980	+	0.872920i
$245$	−13.8934	−	19.7675i	−0.887616	−	1.26290i
$246$			2.91688i			0.185974i
$247$	−4.43306	−	17.9248i	−0.282069	−	1.14053i
$248$		−	1.44365i		−	0.0916722i
$249$	3.70835	−	13.8397i	0.235007	−	0.877058i
$250$	11.0662	−	6.38907i	0.699888	−	0.404081i
$251$	6.13739	−	10.6303i	0.387389	−	0.670977i	−0.604709	−	0.796447i	$-0.706710\pi$
$251$	6.13739	−	10.6303i	0.387389	−	0.670977i	0.992097	+	0.125470i	$0.0400438\pi$
$252$	−1.57218	+	4.33143i	−0.0990383	+	0.272854i
$253$	−25.0841	+	6.72126i	−1.57702	+	0.422562i
$254$	7.08250	+	26.4323i	0.444396	+	1.65851i
$255$	−3.25943	−	3.25943i	−0.204113	−	0.204113i
$256$	−9.65139	+	16.7167i	−0.603212	+	1.04479i
$257$	−2.78870	−	4.83017i	−0.173954	−	0.301298i	0.765845	−	0.643026i	$-0.222321\pi$
$257$	−2.78870	−	4.83017i	−0.173954	−	0.301298i	−0.939799	+	0.341728i	$0.888988\pi$
$258$	−0.122796	+	0.458282i	−0.00764496	+	0.0285314i
$259$	11.7515	−	5.49243i	0.730201	−	0.341283i
$260$	−21.0409	+	5.20370i	−1.30490	+	0.322720i
$261$	7.95825			0.492603
$262$	−18.6466	−	4.99634i	−1.15199	−	0.308675i
$263$	−0.243621	−	0.421964i	−0.0150223	−	0.0260194i	0.858417	−	0.512953i	$-0.171449\pi$
$263$	−0.243621	−	0.421964i	−0.0150223	−	0.0260194i	−0.873439	+	0.486934i	$0.838115\pi$
$264$	0.738039	−	1.27832i	0.0454232	−	0.0786753i
$265$	6.39815	−	6.39815i	0.393035	−	0.393035i
$266$	20.0626	−	16.8647i	1.23012	−	1.03404i
$267$	4.11486	+	15.3569i	0.251825	+	0.939824i
$268$	14.1583	−	14.1583i	0.864854	−	0.864854i
$269$	14.2503	+	8.22741i	0.868855	+	0.501634i	0.866968	−	0.498364i	$-0.166066\pi$
$269$	14.2503	+	8.22741i	0.868855	+	0.501634i	0.00188759	+	0.999998i	$0.499399\pi$
$270$	−5.78213	+	3.33831i	−0.351889	+	0.203163i
$271$	−5.62502	+	20.9928i	−0.341695	+	1.27522i	0.554730	+	0.832030i	$0.312822\pi$
$271$	−5.62502	+	20.9928i	−0.341695	+	1.27522i	−0.896426	+	0.443194i	$0.853845\pi$
$272$	5.94276			0.360333
$273$	−3.42765	+	8.90232i	−0.207451	+	0.538793i
$274$	1.05610			0.0638016
$275$	5.28519	−	19.7246i	0.318709	−	1.18944i
$276$	−13.2617	+	7.65663i	−0.798259	+	0.460875i
$277$	23.9312	+	13.8167i	1.43789	+	0.830165i	0.997703	−	0.0677412i	$-0.0215792\pi$
$277$	23.9312	+	13.8167i	1.43789	+	0.830165i	0.440186	+	0.897907i	$0.354913\pi$
$278$	4.57307	−	4.57307i	0.274275	−	0.274275i
$279$	0.747641	+	2.79024i	0.0447601	+	0.167047i
$280$	2.93674	+	3.49360i	0.175504	+	0.208783i
$281$	15.4703	−	15.4703i	0.922880	−	0.922880i	−0.0743517	−	0.997232i	$-0.523689\pi$
$281$	15.4703	−	15.4703i	0.922880	−	0.922880i	0.997232	+	0.0743517i	$0.0236887\pi$
$282$	−1.54626	+	2.67819i	−0.0920782	+	0.159484i
$283$	2.67677	+	4.63631i	0.159118	+	0.275600i	0.934551	−	0.355830i	$-0.115802\pi$
$283$	2.67677	+	4.63631i	0.159118	+	0.275600i	−0.775433	+	0.631430i	$0.782468\pi$
$284$	19.2414	+	5.15572i	1.14177	+	0.305936i
$285$	17.6767			1.04708
$286$	−10.6427	+	17.6366i	−0.629318	+	1.04287i
$287$	−3.61438	+	1.68930i	−0.213350	+	0.0997161i
$288$	1.96915	−	7.34896i	0.116033	−	0.433041i
$289$	7.60828	+	13.1779i	0.447546	+	0.775172i
$290$	−26.5671	+	46.0156i	−1.56008	+	2.70213i
$291$	−8.97436	−	8.97436i	−0.526086	−	0.526086i
$292$	−0.676596	−	2.52509i	−0.0395948	−	0.147770i
$293$	−11.8844	+	3.18441i	−0.694294	+	0.186035i	−0.588673	−	0.808371i	$-0.700350\pi$
$293$	−11.8844	+	3.18441i	−0.694294	+	0.186035i	−0.105620	+	0.994407i	$0.533683\pi$
$294$	−13.4867	+	1.20392i	−0.786559	+	0.0702138i
$295$	7.09169	−	12.2832i	0.412894	−	0.715154i
$296$	−2.12199	+	1.22513i	−0.123338	+	0.0712093i
$297$	−0.764433	+	2.85290i	−0.0443569	+	0.165542i
$298$		−	17.1488i		−	0.993401i
$299$	−27.7560	+	15.3167i	−1.60517	+	0.885785i
$300$		−	12.0414i		−	0.695212i
$301$	−0.638985	+	0.113252i	−0.0368305	+	0.00652772i
$302$	−14.2720	−	24.7199i	−0.821263	−	1.42247i
$303$	7.79059	+	4.49790i	0.447558	+	0.258397i
$304$	−16.1145	+	16.1145i	−0.924232	+	0.924232i
$305$	−30.1406	+	8.07615i	−1.72585	+	0.462439i
$306$	−2.49519	+	0.668585i	−0.142641	+	0.0382205i
$307$	−8.36730	−	8.36730i	−0.477547	−	0.477547i	0.426799	−	0.904346i	$-0.359641\pi$
$307$	−8.36730	−	8.36730i	−0.477547	−	0.477547i	−0.904346	+	0.426799i	$0.859641\pi$
$308$	−13.5590	−	1.17420i	−0.772594	−	0.0669064i
$309$	5.47098	−	3.15867i	0.311233	−	0.179690i
$310$	−18.6294	−	4.99172i	−1.05808	−	0.283511i
$311$	2.28494			0.129567			0.0647836	−	0.997899i	$-0.479364\pi$
$311$	2.28494			0.129567			0.0647836	+	0.997899i	$0.479364\pi$
$312$	0.499964	−	1.73118i	0.0283049	−	0.0980088i
$313$		−	24.6656i		−	1.39418i	−0.716982	−	0.697091i	$-0.754477\pi$
$313$		−	24.6656i		−	1.39418i	0.716982	−	0.697091i	$-0.245523\pi$
$314$	1.97913	+	0.530306i	0.111689	+	0.0299269i
$315$	−7.48528	−	5.23141i	−0.421748	−	0.294757i
$316$	−11.5425	−	6.66407i	−0.649317	−	0.374883i
$317$	3.55562	+	3.55562i	0.199704	+	0.199704i	0.799873	−	0.600169i	$-0.204900\pi$
$317$	3.55562	+	3.55562i	0.199704	+	0.199704i	−0.600169	+	0.799873i	$0.704900\pi$
$318$	−1.31241	−	4.89799i	−0.0735964	−	0.274666i
$319$	6.08355	+	22.7041i	0.340613	+	1.27119i
$320$	14.1970	+	14.1970i	0.793636	+	0.793636i
$321$	16.4977	+	9.52494i	0.920810	+	0.531630i
$322$	−36.8827	−	25.7771i	−2.05539	−	1.43650i
$323$	6.60615	+	1.77011i	0.367576	+	0.0984917i
$324$			1.74163i			0.0967574i
$325$	0.482340	−	24.9236i	0.0267554	−	1.38251i
$326$	−20.6733			−1.14499
$327$	12.6694	+	3.39476i	0.700620	+	0.187731i
$328$	0.652657	−	0.376812i	0.0360370	−	0.0208060i
$329$	−4.21412	−	0.364942i	−0.232332	−	0.0201199i
$330$	−13.9439	−	13.9439i	−0.767588	−	0.767588i
$331$	17.6446	−	4.72784i	0.969832	−	0.259866i	0.261075	−	0.965318i	$-0.415923\pi$
$331$	17.6446	−	4.72784i	0.969832	−	0.259866i	0.708757	+	0.705453i	$0.249256\pi$
$332$	24.1038	−	6.45858i	1.32287	−	0.354461i
$333$	3.46682	−	3.46682i	0.189981	−	0.189981i
$334$	−1.31731	−	0.760548i	−0.0720798	−	0.0416153i
$335$	19.8411	+	34.3657i	1.08403	+	1.87760i
$336$	11.5929	−	2.05468i	0.632443	−	0.112092i
$337$			22.3954i			1.21996i	0.792418	+	0.609978i	$0.208822\pi$
$337$			22.3954i			1.21996i	−0.792418	+	0.609978i	$0.791178\pi$
$338$	−7.44325	+	24.0195i	−0.404859	+	1.30649i
$339$		−	7.06753i		−	0.383856i
$340$	2.07783	−	7.75456i	0.112686	−	0.420550i
$341$	−7.38875	+	4.26590i	−0.400123	+	0.231011i
$342$	4.95308	−	8.57899i	0.267832	−	0.463899i
$343$	−9.30255	−	16.0144i	−0.502291	−	0.864699i
$344$	0.118405	−	0.0317264i	0.00638394	−	0.00171057i
$345$	−7.85477	−	29.3144i	−0.422886	−	1.57823i
$346$	7.62013	+	7.62013i	0.409661	+	0.409661i
$347$	7.01258	−	12.1461i	0.376455	−	0.652039i	−0.614089	−	0.789237i	$-0.710476\pi$
$347$	7.01258	−	12.1461i	0.376455	−	0.652039i	0.990544	+	0.137198i	$0.0438096\pi$
$348$	6.93018	+	12.0034i	0.371497	+	0.643451i
$349$	2.12038	−	7.91338i	0.113502	−	0.423594i	−0.885669	−	0.464317i	$-0.846300\pi$
$349$	2.12038	−	7.91338i	0.113502	−	0.423594i	0.999170	+	0.0407238i	$0.0129664\pi$
$350$	32.0551	−	14.9820i	1.71342	−	0.800821i
$351$	−0.0697642	+	3.60488i	−0.00372374	+	0.192414i
$352$	22.4711			1.19772
$353$	−25.1216	−	6.73131i	−1.33709	−	0.358271i	−0.481734	−	0.876318i	$-0.659993\pi$
$353$	−25.1216	−	6.73131i	−1.33709	−	0.358271i	−0.855353	+	0.518046i	$0.826659\pi$
$354$	−3.97424	−	6.88359i	−0.211229	−	0.365859i
$355$	−19.7393	+	34.1895i	−1.04766	+	1.81459i
$356$	−19.5794	+	19.5794i	−1.03771	+	1.03771i
$357$	−2.27354	−	2.70465i	−0.120329	−	0.143145i
$358$	−1.75930	−	6.56579i	−0.0929819	−	0.347013i
$359$	3.71625	−	3.71625i	0.196136	−	0.196136i	−0.602205	−	0.798341i	$-0.705711\pi$
$359$	3.71625	−	3.71625i	0.196136	−	0.196136i	0.798341	+	0.602205i	$0.205711\pi$
$360$	1.49391	+	0.862507i	0.0787357	+	0.0454581i
$361$	−6.25881	+	3.61353i	−0.329411	+	0.190186i
$362$	11.6742	−	43.5687i	0.613582	−	2.28992i
$363$	2.27658			0.119490
$364$	−16.4122	+	2.58237i	−0.860234	+	0.135353i
$365$	5.18087			0.271179
$366$	−4.52594	+	16.8910i	−0.236575	+	0.882908i
$367$	26.8907	−	15.5253i	1.40368	−	0.810416i	0.408913	−	0.912573i	$-0.365908\pi$
$367$	26.8907	−	15.5253i	1.40368	−	0.810416i	0.994768	+	0.102157i	$0.0325744\pi$
$368$	33.8844	+	19.5632i	1.76634	+	1.01980i
$369$	−1.06629	+	1.06629i	−0.0555086	+	0.0555086i
$370$	8.47227	+	31.6189i	0.440452	+	1.64379i
$371$	5.30914	−	4.46289i	0.275637	−	0.231702i
$372$	−3.55745	+	3.55745i	−0.184445	+	0.184445i
$373$	−6.35916	+	11.0144i	−0.329265	+	0.570304i	−0.982366	−	0.186967i	$-0.940134\pi$
$373$	−6.35916	+	11.0144i	−0.329265	+	0.570304i	0.653101	+	0.757271i	$0.273468\pi$
$374$	−3.81482	−	6.60746i	−0.197260	−	0.341664i
$375$	6.38089	+	1.70975i	0.329508	+	0.0882913i
$376$	0.799000			0.0412053
$377$	13.8634	+	25.1226i	0.714003	+	1.29388i
$378$	−4.63635	+	2.16695i	−0.238468	+	0.111456i
$379$	−5.03747	+	18.8001i	−0.258757	+	0.965696i	0.707204	+	0.707010i	$0.249956\pi$
$379$	−5.03747	+	18.8001i	−0.258757	+	0.965696i	−0.965961	+	0.258686i	$0.916710\pi$
$380$	15.3932	+	26.6617i	0.789653	+	1.36772i
$381$	−7.07343	+	12.2515i	−0.362383	+	0.627665i
$382$	19.0187	+	19.0187i	0.973080	+	0.973080i
$383$	−1.38240	−	5.15917i	−0.0706372	−	0.263621i	0.921572	−	0.388209i	$-0.126906\pi$
$383$	−1.38240	−	5.15917i	−0.0706372	−	0.263621i	−0.992209	+	0.124587i	$0.960239\pi$
$384$	−3.82967	+	1.02616i	−0.195432	+	0.0523658i
$385$	9.20272	−	25.3538i	0.469014	−	1.29215i
$386$	−2.81004	+	4.86714i	−0.143028	+	0.247731i
$387$	−0.212417	+	0.122639i	−0.0107978	+	0.00623409i
$388$	5.72099	−	21.3510i	0.290439	−	1.08393i
$389$		−	3.01128i		−	0.152678i	−0.997082	−	0.0763390i	$-0.975677\pi$
$389$		−	3.01128i		−	0.152678i	0.997082	−	0.0763390i	$-0.0243231\pi$
$390$	−20.6110	−	12.4376i	−1.04368	−	0.629802i
$391$		−	11.7420i		−	0.593817i
$392$	2.01163	+	2.86214i	0.101603	+	0.144560i
$393$	−4.98993	−	8.64282i	−0.251709	−	0.435973i
$394$	1.36441	+	0.787740i	0.0687378	+	0.0396858i
$395$	18.6777	−	18.6777i	0.939778	−	0.939778i
$396$	−4.96871	+	1.33136i	−0.249687	+	0.0669035i
$397$	−13.7845	+	3.69353i	−0.691822	+	0.185373i	−0.587565	−	0.809177i	$-0.699913\pi$
$397$	−13.7845	+	3.69353i	−0.691822	+	0.185373i	−0.104257	+	0.994550i	$0.533247\pi$
$398$	2.35556	+	2.35556i	0.118074	+	0.118074i
$399$	13.4990	+	1.16901i	0.675795	+	0.0585236i
$400$	−26.6446	+	15.3833i	−1.33223	+	0.769164i
$401$	29.6397	+	7.94193i	1.48014	+	0.396601i	0.906393	−	0.422435i	$-0.138824\pi$
$401$	29.6397	+	7.94193i	1.48014	+	0.396601i	0.573742	+	0.819036i	$0.305491\pi$
$402$	22.2382			1.10914
$403$	−7.50580	+	7.22080i	−0.373891	+	0.359694i
$404$			15.6674i			0.779481i
$405$	−3.33403	−	0.893352i	−0.165670	−	0.0443910i
$406$	−23.3314	+	33.3833i	−1.15792	+	1.65679i
$407$	12.5407	+	7.24036i	0.621618	+	0.358891i
$408$	0.471934	+	0.471934i	0.0233642	+	0.0233642i
$409$	−2.88987	−	10.7851i	−0.142895	−	0.533291i	−0.999840	−	0.0178834i	$-0.994307\pi$
$409$	−2.88987	−	10.7851i	−0.142895	−	0.533291i	0.856945	−	0.515408i	$-0.172359\pi$
$410$	−2.60580	−	9.72499i	−0.128691	−	0.480283i
$411$	0.386066	+	0.386066i	0.0190432	+	0.0190432i
$412$	9.52844	+	5.50125i	0.469433	+	0.271027i
$413$	6.22797	−	8.91118i	0.306458	−	0.438490i
$414$	−16.4280	−	4.40187i	−0.807393	−	0.216340i
$415$			49.4550i			2.42765i
$416$	26.6295	−	6.58584i	1.30562	−	0.322897i
$417$	3.34343			0.163728
$418$	28.2613	+	7.57260i	1.38231	+	0.370388i
$419$	9.49737	−	5.48331i	0.463977	−	0.267877i	−0.249738	−	0.968313i	$-0.580345\pi$
$419$	9.49737	−	5.48331i	0.463977	−	0.267877i	0.713715	+	0.700436i	$0.247011\pi$
$420$	1.37223	−	15.8456i	0.0669578	−	0.773188i
$421$	6.63694	+	6.63694i	0.323465	+	0.323465i	0.850095	−	0.526630i	$-0.176545\pi$
$421$	6.63694	+	6.63694i	0.323465	+	0.323465i	−0.526630	+	0.850095i	$0.676545\pi$
$422$	6.88584	−	1.84505i	0.335197	−	0.0898159i
$423$	−1.54427	+	0.413787i	−0.0750852	+	0.0201190i
$424$	−0.926392	+	0.926392i	−0.0449895	+	0.0449895i
$425$	7.99616	+	4.61658i	0.387871	+	0.223937i
$426$	11.0621	+	19.1601i	0.535960	+	0.928309i
$427$	−23.5513	+	4.17415i	−1.13973	+	0.202001i
$428$			33.1779i			1.60371i
$429$	−10.3377	+	2.55666i	−0.499109	+	0.123437i
$430$		−	1.63763i		−	0.0789734i
$431$	8.92021	−	33.2907i	0.429671	−	1.60355i	−0.323835	−	0.946114i	$-0.604972\pi$
$431$	8.92021	−	33.2907i	0.429671	−	1.60355i	0.753506	−	0.657441i	$-0.228361\pi$
$432$	3.85380	−	2.22499i	0.185416	−	0.107050i
$433$	19.6718	−	34.0725i	0.945365	−	1.63742i	0.190346	−	0.981717i	$-0.439039\pi$
$433$	19.6718	−	34.0725i	0.945365	−	1.63742i	0.755019	−	0.655703i	$-0.227628\pi$
$434$	−13.8964	−	5.04399i	−0.667048	−	0.242119i
$435$	−26.5331	+	7.10952i	−1.27216	+	0.340875i
$436$	5.91243	+	22.0655i	0.283154	+	1.05674i
$437$	31.8398	+	31.8398i	1.52311	+	1.52311i
$438$	1.45170	−	2.51442i	0.0693649	−	0.120144i
$439$	−0.862363	−	1.49366i	−0.0411583	−	0.0712883i	0.844712	−	0.535220i	$-0.179771\pi$
$439$	−0.862363	−	1.49366i	−0.0411583	−	0.0712883i	−0.885871	+	0.463932i	$0.846438\pi$
$440$	−1.31866	+	4.92130i	−0.0628645	+	0.234614i
$441$	−5.37024	−	4.49004i	−0.255726	−	0.213812i
$442$	−6.45727	−	6.71213i	−0.307141	−	0.319264i
$443$	−3.62484			−0.172221			−0.0861107	−	0.996286i	$-0.527444\pi$
$443$	−3.62484			−0.172221			−0.0861107	+	0.996286i	$0.527444\pi$
$444$	8.24797	+	2.21004i	0.391431	+	0.104884i
$445$	−27.4382	−	47.5243i	−1.30069	−	2.25287i
$446$	−18.0975	+	31.3458i	−0.856943	+	1.48427i
$447$	6.26884	−	6.26884i	0.296506	−	0.296506i
$448$	9.90279	+	11.7806i	0.467863	+	0.556579i
$449$	3.15356	+	11.7692i	0.148826	+	0.555425i	0.999555	+	0.0298212i	$0.00949379\pi$
$449$	3.15356	+	11.7692i	0.148826	+	0.555425i	−0.850730	+	0.525604i	$0.823840\pi$
$450$	9.45663	−	9.45663i	0.445790	−	0.445790i
$451$	−3.85711	−	2.22690i	−0.181624	−	0.104861i
$452$	10.6599	−	6.15452i	0.501402	−	0.289484i
$453$	3.81928	−	14.2537i	0.179445	−	0.669699i
$454$	2.54041			0.119227
$455$	3.47499	−	32.7427i	0.162910	−	1.53500i
$456$	−2.55942			−0.119856
$457$	−4.20527	+	15.6943i	−0.196714	+	0.734147i	0.795102	+	0.606475i	$0.207417\pi$
$457$	−4.20527	+	15.6943i	−0.196714	+	0.734147i	−0.991816	+	0.127672i	$0.959250\pi$
$458$	−16.5754	+	9.56978i	−0.774515	+	0.447167i
$459$	−1.15654	−	0.667729i	−0.0539827	−	0.0311669i
$460$	37.3748	−	37.3748i	1.74261	−	1.74261i
$461$	−0.972700	−	3.63017i	−0.0453031	−	0.169074i	0.939568	−	0.342363i	$-0.111227\pi$
$461$	−0.972700	−	3.63017i	−0.0453031	−	0.169074i	−0.984871	+	0.173289i	$0.944561\pi$
$462$	−9.72628	−	11.5706i	−0.452508	−	0.538312i
$463$	−8.26689	+	8.26689i	−0.384195	+	0.384195i	−0.872611	−	0.488416i	$-0.837575\pi$
$463$	−8.26689	+	8.26689i	−0.384195	+	0.384195i	0.488416	+	0.872611i	$0.337575\pi$
$464$	17.7070	−	30.6695i	0.822028	−	1.42379i
$465$	−4.98533	−	8.63484i	−0.231189	−	0.400431i
$466$	−46.2126	−	12.3826i	−2.14076	−	0.573615i
$467$	−32.1951			−1.48981			−0.744905	−	0.667170i	$-0.767505\pi$
$467$	−32.1951			−1.48981			−0.744905	+	0.667170i	$0.767505\pi$
$468$	−5.49798	+	3.03396i	−0.254144	+	0.140245i
$469$	12.8791	+	27.5559i	0.594703	+	1.27241i
$470$	2.76270	−	10.3105i	0.127434	−	0.475590i
$471$	0.529626	+	0.917340i	0.0244039	+	0.0422688i
$472$	−1.02681	+	1.77849i	−0.0472627	+	0.0818615i
$473$	−0.512255	−	0.512255i	−0.0235535	−	0.0235535i
$474$	−3.83124	−	14.2984i	−0.175975	−	0.656747i
$475$	−34.2010	+	9.16414i	−1.56925	+	0.420480i
$476$	2.09958	−	5.78444i	0.0962343	−	0.265129i
$477$	1.31073	−	2.27025i	0.0600142	−	0.103948i
$478$	17.3025	−	9.98958i	0.791396	−	0.456913i
$479$	0.610243	−	2.27746i	0.0278827	−	0.104060i	−0.950582	−	0.310473i	$-0.899513\pi$
$479$	0.610243	−	2.27746i	0.0278827	−	0.104060i	0.978465	+	0.206413i	$0.0661792\pi$
$480$			26.2608i			1.19864i
$481$	16.9833	+	4.90478i	0.774373	+	0.223639i
$482$		−	17.2826i		−	0.787202i
$483$	−4.05973	−	22.9057i	−0.184724	−	1.04225i
$484$	1.98249	+	3.43377i	0.0901130	+	0.156080i
$485$	37.9381	+	21.9036i	1.72268	+	0.994589i
$486$	−1.36778	+	1.36778i	−0.0620437	+	0.0620437i
$487$	−13.0172	+	3.48794i	−0.589864	+	0.158054i	−0.541391	−	0.840771i	$-0.682102\pi$
$487$	−13.0172	+	3.48794i	−0.589864	+	0.158054i	−0.0484729	+	0.998824i	$0.515435\pi$
$488$	4.36407	−	1.16935i	0.197552	−	0.0529339i
$489$	−7.55726	−	7.55726i	−0.341751	−	0.341751i
$490$	43.8895	−	16.0623i	1.98273	−	0.725619i
$491$	−24.0166	+	13.8660i	−1.08386	+	0.625764i	−0.931934	−	0.362628i	$-0.881879\pi$
$491$	−24.0166	+	13.8660i	−1.08386	+	0.625764i	−0.151921	+	0.988393i	$0.548546\pi$
$492$	−2.53682	−	0.679738i	−0.114368	−	0.0306449i
$493$	−10.6279			−0.478657
$494$	35.7105	+	0.691095i	1.60669	+	0.0310938i
$495$		−	10.1946i		−	0.458213i
$496$	12.4165	+	3.32699i	0.557517	+	0.149386i
$497$	−17.3352	+	24.8038i	−0.777590	+	1.11260i
$498$	24.0019	+	13.8575i	1.07555	+	0.620969i
$499$	−12.5883	−	12.5883i	−0.563529	−	0.563529i	0.366779	−	0.930308i	$-0.380460\pi$
$499$	−12.5883	−	12.5883i	−0.563529	−	0.563529i	−0.930308	+	0.366779i	$0.880460\pi$
$500$	2.97776	+	11.1132i	0.133170	+	0.496996i
$501$	−0.203527	−	0.759573i	−0.00909292	−	0.0339352i
$502$	16.7892	+	16.7892i	0.749338	+	0.749338i
$503$	−35.8460	−	20.6957i	−1.59829	−	0.922776i	−0.991816	−	0.127676i	$-0.959248\pi$
$503$	−35.8460	−	20.6957i	−1.59829	−	0.922776i	−0.606479	−	0.795100i	$-0.707418\pi$
$504$	1.08380	+	0.757458i	0.0482761	+	0.0337399i
$505$	−29.9923	−	8.03641i	−1.33464	−	0.357616i
$506$		−	50.2325i		−	2.23311i
$507$	−11.5014	+	6.05954i	−0.510795	+	0.269114i
$508$	−24.6386			−1.09316
$509$	−3.60857	−	0.966913i	−0.159947	−	0.0428577i	0.177957	−	0.984038i	$-0.443051\pi$
$509$	−3.60857	−	0.966913i	−0.159947	−	0.0428577i	−0.337904	+	0.941181i	$0.609718\pi$
$510$	7.72178	−	4.45817i	0.341926	−	0.197411i
$511$	3.95643	+	0.342625i	0.175022	+	0.0151568i
$512$	−20.7949	−	20.7949i	−0.919014	−	0.919014i
$513$	4.94673	−	1.32547i	0.218404	−	0.0585211i
$514$	10.4209	−	2.79228i	0.459647	−	0.123162i
$515$	−15.4186	+	15.4186i	−0.679426	+	0.679426i
$516$	−0.369952	−	0.213592i	−0.0162862	−	0.00940287i
$517$	−2.36099	−	4.08935i	−0.103836	−	0.179850i
$518$	4.37889	+	24.7064i	0.192397	+	1.08554i
$519$			5.57117i			0.244547i
$520$	−0.120344	+	6.21846i	−0.00527744	+	0.272698i
$521$			38.7341i			1.69697i	0.529219	+	0.848486i	$0.322485\pi$
$521$			38.7341i			1.69697i	−0.529219	+	0.848486i	$0.677515\pi$
$522$	−3.98423	+	14.8694i	−0.174385	+	0.650814i
$523$	−30.8201	+	17.7940i	−1.34767	+	0.778077i	−0.987919	−	0.154972i	$-0.950471\pi$
$523$	−30.8201	+	17.7940i	−1.34767	+	0.778077i	−0.359749	+	0.933049i	$0.617138\pi$
$524$	8.69064	−	15.0526i	0.379652	−	0.657577i
$525$	17.1947	+	6.24119i	0.750439	+	0.272388i
$526$	0.910373	−	0.243934i	0.0396942	−	0.0106360i
$527$	−0.998443	−	3.72624i	−0.0434929	−	0.162318i
$528$	9.29365	+	9.29365i	0.404454	+	0.404454i
$529$	27.1537	−	47.0317i	1.18060	−	2.04486i
$530$	8.75125	+	15.1576i	0.380130	+	0.658405i
$531$	1.06353	−	3.96915i	0.0461533	−	0.172246i
$532$	9.99194	+	21.3785i	0.433205	+	0.926876i
$533$	−5.22354	−	1.50855i	−0.226256	−	0.0653427i
$534$	−30.7531			−1.33082
$535$	−63.5129	−	17.0182i	−2.74590	−	0.735763i
$536$	−2.87280	−	4.97583i	−0.124086	−	0.214923i
$537$	1.75705	−	3.04329i	0.0758221	−	0.131328i
$538$	−22.5065	+	22.5065i	−0.970326	+	0.970326i
$539$	8.70447	−	18.7531i	0.374928	−	0.807754i
$540$	−1.55589	−	5.80667i	−0.0669549	−	0.249879i
$541$	12.2027	−	12.2027i	0.524634	−	0.524634i	−0.394333	−	0.918967i	$-0.629025\pi$
$541$	12.2027	−	12.2027i	0.524634	−	0.524634i	0.918967	+	0.394333i	$0.129025\pi$
$542$	−36.4073	−	21.0198i	−1.56383	−	0.902877i
$543$	20.1944	−	11.6592i	0.866624	−	0.500346i
$544$	−2.62971	+	9.81422i	−0.112748	+	0.420781i
$545$	−45.2730			−1.93928
$546$	−14.9172	−	10.8612i	−0.638399	−	0.464814i
$547$	−12.9228			−0.552538			−0.276269	−	0.961080i	$-0.589098\pi$
$547$	−12.9228			−0.552538			−0.276269	+	0.961080i	$0.589098\pi$
$548$	−0.246110	+	0.918495i	−0.0105133	+	0.0392362i
$549$	−7.82911	+	4.52014i	−0.334138	+	0.192915i
$550$	34.2078	+	19.7499i	1.45863	+	0.842138i
$551$	28.8189	−	28.8189i	1.22773	−	1.22773i
$552$	1.13730	+	4.24444i	0.0484065	+	0.180656i
$553$	15.4986	−	13.0282i	0.659069	−	0.554017i
$554$	−37.7964	+	37.7964i	−1.60581	+	1.60581i
$555$	−8.46141	+	14.6556i	−0.359167	+	0.622096i
$556$	2.91152	+	5.04289i	0.123476	+	0.213866i
$557$	5.77693	+	1.54792i	0.244777	+	0.0655877i	0.379121	−	0.925347i	$-0.376226\pi$
$557$	5.77693	+	1.54792i	0.244777	+	0.0655877i	−0.134345	+	0.990935i	$0.542893\pi$
$558$	−5.58763			−0.236543
$559$	−0.757180	−	0.456917i	−0.0320253	−	0.0193255i
$560$	−36.8155	+	17.2069i	−1.55574	+	0.727124i
$561$	1.02087	−	3.80993i	0.0431011	−	0.160855i
$562$	21.1599	+	36.6501i	0.892578	+	1.54599i
$563$	−3.80484	+	6.59017i	−0.160355	+	0.277743i	−0.934996	−	0.354658i	$-0.884597\pi$
$563$	−3.80484	+	6.59017i	−0.160355	+	0.277743i	0.774641	+	0.632401i	$0.217930\pi$
$564$	−1.96890	−	1.96890i	−0.0829054	−	0.0829054i
$565$	6.31379	+	23.5634i	0.265623	+	0.991319i
$566$	−10.0027	+	2.68021i	−0.420443	+	0.112657i
$567$	−2.48699	−	0.902706i	−0.104444	−	0.0379101i
$568$	2.85807	−	4.95032i	0.119922	−	0.207711i
$569$	−23.3969	+	13.5082i	−0.980848	+	0.566293i	−0.902526	−	0.430635i	$-0.858289\pi$
$569$	−23.3969	+	13.5082i	−0.980848	+	0.566293i	−0.0783217	+	0.996928i	$0.524956\pi$
$570$	−8.84969	+	33.0275i	−0.370673	+	1.38337i
$571$		−	17.2946i		−	0.723757i	−0.932225	−	0.361878i	$-0.882136\pi$
$571$		−	17.2946i		−	0.723757i	0.932225	−	0.361878i	$-0.117864\pi$
$572$	−12.8584	−	13.3660i	−0.537639	−	0.558859i
$573$			13.9048i			0.580881i
$574$	−1.34681	−	7.59892i	−0.0562147	−	0.317173i
$575$	30.3950	+	52.6456i	1.26756	+	2.19547i
$576$	5.03751	+	2.90841i	0.209896	+	0.121184i
$577$	−1.06958	+	1.06958i	−0.0445272	+	0.0445272i	−0.729020	−	0.684493i	$-0.760024\pi$
$577$	−1.06958	+	1.06958i	−0.0445272	+	0.0445272i	0.684493	+	0.729020i	$0.260024\pi$
$578$	−28.4309	+	7.61804i	−1.18257	+	0.316869i
$579$	−2.80644	+	0.751984i	−0.116632	+	0.0312514i
$580$	−33.8287	−	33.8287i	−1.40466	−	1.40466i
$581$	−3.27060	+	37.7669i	−0.135687	+	1.56683i
$582$	21.2608	−	12.2749i	0.881288	−	0.508812i
$583$	7.47878	+	2.00393i	0.309739	+	0.0829944i
$584$	−0.750141			−0.0310410
$585$	−2.98783	−	12.0811i	−0.123531	−	0.499492i
$586$		−	23.7993i		−	0.983139i
$587$	42.5402	+	11.3986i	1.75582	+	0.470471i	0.985853	−	0.167613i	$-0.0536058\pi$
$587$	42.5402	+	11.3986i	1.75582	+	0.470471i	0.769967	+	0.638083i	$0.220272\pi$
$588$	2.09583	−	12.0099i	0.0864306	−	0.495282i
$589$	12.8116	+	7.39677i	0.527892	+	0.304778i
$590$	19.3997	+	19.3997i	0.798674	+	0.798674i
$591$	0.210804	+	0.786731i	0.00867131	+	0.0323618i
$592$	−5.64678	−	21.0741i	−0.232081	−	0.866139i
$593$	−14.9496	−	14.9496i	−0.613907	−	0.613907i	0.330055	−	0.943962i	$-0.392933\pi$
$593$	−14.9496	−	14.9496i	−0.613907	−	0.613907i	−0.943962	+	0.330055i	$0.892933\pi$
$594$	−4.94771	−	2.85656i	−0.203007	−	0.117206i
$595$	9.99627	+	6.98633i	0.409807	+	0.286411i
$596$	14.9143	+	3.99627i	0.610913	+	0.163694i
$597$			1.72218i			0.0704843i
$598$	−14.7221	−	59.5281i	−0.602033	−	2.43428i
$599$	22.8397			0.933203			0.466601	−	0.884468i	$-0.345478\pi$
$599$	22.8397			0.933203			0.466601	+	0.884468i	$0.345478\pi$
$600$	−3.33757	−	0.894300i	−0.136256	−	0.0365096i
$601$	24.7100	−	14.2663i	1.00794	−	0.581936i	0.0973547	−	0.995250i	$-0.468962\pi$
$601$	24.7100	−	14.2663i	1.00794	−	0.581936i	0.910589	+	0.413313i	$0.135629\pi$
$602$	0.108301	−	1.25059i	0.00441401	−	0.0509703i
$603$	8.12931	+	8.12931i	0.331051	+	0.331051i
$604$	24.8248	−	6.65178i	1.01011	−	0.270657i
$605$	−7.59020	+	2.03379i	−0.308586	+	0.0826852i
$606$	−12.3043	+	12.3043i	−0.499826	+	0.499826i
$607$	22.6642	+	13.0852i	0.919913	+	0.531112i	0.883607	−	0.468229i	$-0.155108\pi$
$607$	22.6642	+	13.0852i	0.919913	+	0.531112i	0.0363055	+	0.999341i	$0.488441\pi$
$608$	−19.4817	−	33.7433i	−0.790087	−	1.36847i
$609$	−20.7324	+	3.67455i	−0.840121	+	0.148900i
$610$		−	60.3585i		−	2.44385i
$611$	−3.99640	−	4.15413i	−0.161677	−	0.168058i
$612$		−	2.32588i		−	0.0940180i
$613$	7.15174	−	26.6907i	0.288856	−	1.07803i	−0.657119	−	0.753787i	$-0.728225\pi$
$613$	7.15174	−	26.6907i	0.288856	−	1.07803i	0.945975	−	0.324239i	$-0.105108\pi$
$614$	19.8226	−	11.4446i	0.799977	−	0.461867i
$615$	2.60246	−	4.50760i	0.104941	−	0.181764i
$616$	−1.33247	+	3.67099i	−0.0536866	+	0.147909i
$617$	18.4697	−	4.94894i	0.743562	−	0.199237i	0.132901	−	0.991129i	$-0.457571\pi$
$617$	18.4697	−	4.94894i	0.743562	−	0.199237i	0.610660	+	0.791893i	$0.290904\pi$
$618$	3.16272	+	11.8034i	0.127223	+	0.474804i
$619$	5.80624	+	5.80624i	0.233373	+	0.233373i	0.814099	−	0.580726i	$-0.197231\pi$
$619$	5.80624	+	5.80624i	0.233373	+	0.233373i	−0.580726	+	0.814099i	$0.697231\pi$
$620$	8.68261	−	15.0387i	0.348702	−	0.603970i
$621$	−4.39623	−	7.61450i	−0.176415	−	0.305559i
$622$	−1.14394	+	4.26923i	−0.0458677	+	0.171180i
$623$	−17.8105	−	38.1070i	−0.713563	−	1.52672i
$624$	13.7372	+	8.28967i	0.549929	+	0.331852i
$625$	11.7678			0.470712
$626$	46.0857	+	12.3486i	1.84196	+	0.493550i
$627$	7.56290	+	13.0993i	0.302033	+	0.523136i
$628$	−0.922415	+	1.59767i	−0.0368084	+	0.0637540i
$629$	−4.62979	+	4.62979i	−0.184602	+	0.184602i
$630$	13.5219	−	11.3666i	0.538726	−	0.452855i
$631$	1.64802	+	6.15049i	0.0656065	+	0.244847i	0.990940	−	0.134308i	$-0.0428813\pi$
$631$	1.64802	+	6.15049i	0.0656065	+	0.244847i	−0.925333	+	0.379155i	$0.876215\pi$
$632$	−2.70436	+	2.70436i	−0.107573	+	0.107573i
$633$	3.19163	+	1.84269i	0.126856	+	0.0732404i
$634$	−8.42348	+	4.86330i	−0.334539	+	0.193146i
$635$	12.6381	−	47.1661i	0.501529	−	1.87173i
$636$	4.56562			0.181039
$637$	4.81908	−	24.7745i	0.190939	−	0.981602i
$638$	−45.4665			−1.80004
$639$	−2.96028	+	11.0479i	−0.117107	+	0.437049i
$640$	11.8515	−	6.84248i	0.468473	−	0.270473i
$641$	−12.5318	−	7.23523i	−0.494976	−	0.285774i	0.231660	−	0.972797i	$-0.425584\pi$
$641$	−12.5318	−	7.23523i	−0.494976	−	0.285774i	−0.726636	+	0.687022i	$0.758917\pi$
$642$	−26.0560	+	26.0560i	−1.02835	+	1.02835i
$643$	−7.35905	−	27.4644i	−0.290213	−	1.08309i	−0.944945	−	0.327228i	$-0.893885\pi$
$643$	−7.35905	−	27.4644i	−0.290213	−	1.08309i	0.654733	−	0.755861i	$-0.272781\pi$
$644$	31.0134	−	26.0700i	1.22210	−	1.02730i
$645$	0.598645	−	0.598645i	0.0235716	−	0.0235716i
$646$	−6.61463	+	11.4569i	−0.260249	+	0.450765i
$647$	−4.83456	−	8.37370i	−0.190066	−	0.329204i	0.755206	−	0.655488i	$-0.227537\pi$
$647$	−4.83456	−	8.37370i	−0.190066	−	0.329204i	−0.945272	+	0.326284i	$0.894204\pi$
$648$	0.482736	+	0.129349i	0.0189637	+	0.00508130i
$649$	12.1366			0.476403
$650$	46.3263	+	13.3790i	1.81707	+	0.524768i
$651$	−3.23605	−	6.92378i	−0.126831	−	0.271364i
$652$	4.81762	−	17.9796i	0.188672	−	0.704135i
$653$	−16.6586	−	28.8535i	−0.651900	−	1.12912i	−0.982661	−	0.185409i	$-0.940639\pi$
$653$	−16.6586	−	28.8535i	−0.651900	−	1.12912i	0.330762	−	0.943714i	$-0.392694\pi$
$654$	−12.6857	+	21.9722i	−0.496049	+	0.859182i
$655$	24.3577	+	24.3577i	0.951734	+	0.951734i
$656$	1.73677	+	6.48172i	0.0678095	+	0.253069i
$657$	1.44984	−	0.388484i	0.0565637	−	0.0151562i
$658$	2.79163	−	7.69105i	0.108829	−	0.299828i
$659$	13.4367	−	23.2730i	0.523418	−	0.906586i	−0.476211	−	0.879331i	$-0.657990\pi$
$659$	13.4367	−	23.2730i	0.523418	−	0.906586i	0.999629	−	0.0272549i	$-0.00867657\pi$
$660$	15.3765	−	8.87762i	0.598529	−	0.345561i
$661$	4.30948	−	16.0832i	0.167619	−	0.625564i	−0.830072	−	0.557656i	$-0.811701\pi$
$661$	4.30948	−	16.0832i	0.167619	−	0.625564i	0.997692	−	0.0679081i	$-0.0216325\pi$
$662$			35.3344i			1.37331i
$663$	0.0931671	−	4.81416i	0.00361831	−	0.186966i
$664$		−	7.16062i		−	0.277886i
$665$	−46.0504	+	8.16184i	−1.78576	+	0.316502i
$666$	4.74184	+	8.21311i	0.183743	+	0.318252i
$667$	−60.5981	−	34.9863i	−2.34637	−	1.35468i
$668$	0.968429	−	0.968429i	0.0374696	−	0.0374696i
$669$	−18.0743	+	4.84300i	−0.698794	+	0.187241i
$670$	−74.1428	+	19.8665i	−2.86439	+	0.767510i
$671$	−18.8803	−	18.8803i	−0.728868	−	0.728868i
$672$	−1.73670	+	20.0543i	−0.0669946	+	0.773613i
$673$	22.1779	−	12.8044i	0.854896	−	0.493574i	−0.00740398	−	0.999973i	$-0.502357\pi$
$673$	22.1779	−	12.8044i	0.854896	−	0.493574i	0.862300	+	0.506398i	$0.169023\pi$
$674$	−41.8440	−	11.2121i	−1.61177	−	0.431873i
$675$	6.91386			0.266115
$676$	−19.1552	−	12.0708i	−0.736739	−	0.464261i
$677$			11.4036i			0.438275i	0.975694	+	0.219138i	$0.0703244\pi$
$677$			11.4036i			0.438275i	−0.975694	+	0.219138i	$0.929676\pi$
$678$	13.2051	+	3.53830i	0.507139	+	0.135888i
$679$	27.5233	+	19.2358i	1.05625	+	0.738203i
$680$	−1.99505	−	1.15184i	−0.0765066	−	0.0441711i
$681$	0.928664	+	0.928664i	0.0355865	+	0.0355865i
$682$	−4.27137	−	15.9410i	−0.163559	−	0.610412i
$683$	9.10656	+	33.9861i	0.348453	+	1.30044i	0.888526	+	0.458826i	$0.151730\pi$
$683$	9.10656	+	33.9861i	0.348453	+	1.30044i	−0.540073	+	0.841618i	$0.681604\pi$
$684$	6.30691	+	6.30691i	0.241151	+	0.241151i
$685$	−1.63205	−	0.942264i	−0.0623574	−	0.0360021i
$686$	34.5790	−	9.36357i	1.32023	−	0.357503i
$687$	−9.55752	−	2.56093i	−0.364642	−	0.0977056i
$688$			1.09148i			0.0416123i
$689$	9.45004	+	0.182884i	0.360018	+	0.00696733i
$690$	58.7040			2.23482
$691$	40.2685	+	10.7899i	1.53189	+	0.410468i	0.923634	−	0.383276i	$-0.125204\pi$
$691$	40.2685	+	10.7899i	1.53189	+	0.410468i	0.608252	+	0.793744i	$0.291871\pi$
$692$	−8.40300	+	4.85147i	−0.319434	+	0.184425i
$693$	0.674196	−	7.78520i	0.0256106	−	0.295735i
$694$	19.1833	+	19.1833i	0.728188	+	0.728188i
$695$	−11.1471	+	2.98686i	−0.422834	+	0.113298i
$696$	3.84174	−	1.02939i	0.145621	−	0.0390189i
$697$	1.42398	−	1.42398i	0.0539370	−	0.0539370i
$698$	13.7240	+	7.92353i	0.519460	+	0.299910i
$699$	−12.3668	−	21.4199i	−0.467754	−	0.810174i
$700$	5.55987	+	31.3697i	0.210143	+	1.18566i
$701$		−	8.53135i		−	0.322225i	−0.986936	−	0.161112i	$-0.948492\pi$
$701$		−	8.53135i		−	0.322225i	0.986936	−	0.161112i	$-0.0515081\pi$
$702$	−6.70049	−	1.93510i	−0.252894	−	0.0730356i
$703$		−	25.1085i		−	0.946986i
$704$	−4.44656	+	16.5948i	−0.167586	+	0.625440i
$705$	4.77901	−	2.75916i	0.179988	−	0.103916i
$706$	25.1538	−	43.5677i	0.946676	−	1.63969i
$707$	−22.3725	−	8.12056i	−0.841403	−	0.305405i
$708$	6.91280	−	1.85228i	0.259799	−	0.0696130i
$709$	−0.424499	−	1.58425i	−0.0159424	−	0.0594978i	0.957496	−	0.288445i	$-0.0931383\pi$
$709$	−0.424499	−	1.58425i	−0.0159424	−	0.0594978i	−0.973439	+	0.228947i	$0.926472\pi$
$710$	−53.9981	−	53.9981i	−2.02651	−	2.02651i
$711$	3.82633	−	6.62740i	0.143499	−	0.248547i
$712$	3.97278	+	6.88106i	0.148886	+	0.257879i
$713$	6.57361	−	24.5331i	0.246184	−	0.918770i
$714$	6.19165	−	2.89387i	0.231717	−	0.108300i
$715$	32.1822	−	17.7592i	1.20355	−	0.664156i
$716$	6.12026			0.228725
$717$	9.97678	+	2.67327i	0.372590	+	0.0998351i
$718$	5.08300	+	8.80401i	0.189696	+	0.328563i
$719$	7.35184	−	12.7338i	0.274177	−	0.474889i	−0.695750	−	0.718284i	$-0.744928\pi$
$719$	7.35184	−	12.7338i	0.274177	−	0.474889i	0.969927	+	0.243395i	$0.0782611\pi$
$720$	−10.8610	+	10.8610i	−0.404765	+	0.404765i
$721$	−12.7943	+	10.7549i	−0.476484	+	0.400534i
$722$	−3.61816	−	13.5032i	−0.134654	−	0.502536i
$723$	6.31778	−	6.31778i	0.234961	−	0.234961i
$724$	35.1712	+	20.3061i	1.30713	+	0.754671i
$725$	47.6507	−	27.5111i	1.76970	−	1.02174i
$726$	−1.13975	+	4.25361i	−0.0423001	+	0.157866i
$727$	26.9644			1.00005			0.500026	−	0.866010i	$-0.333324\pi$
$727$	26.9644			1.00005			0.500026	+	0.866010i	$0.333324\pi$
$728$	−0.503146	+	4.74083i	−0.0186478	+	0.175707i
$729$	−1.00000			−0.0370370
$730$	−2.59376	+	9.68004i	−0.0959993	+	0.358274i
$731$	0.283674	−	0.163779i	0.0104920	−	0.00605759i
$732$	−13.6354	−	7.87242i	−0.503980	−	0.290973i
$733$	−27.0088	+	27.0088i	−0.997593	+	0.997593i	−0.999997	−	0.00240406i	$-0.999235\pi$
$733$	−27.0088	+	27.0088i	−0.997593	+	0.997593i	0.00240406	+	0.999997i	$0.499235\pi$
$734$	15.5453	+	58.0157i	0.573786	+	2.14140i
$735$	21.9158	+	10.1724i	0.808375	+	0.375216i
$736$	−47.3018	+	47.3018i	−1.74357	+	1.74357i
$737$	−16.9778	+	29.4064i	−0.625386	+	1.08320i
$738$	−1.45844	−	2.52609i	−0.0536860	−	0.0929868i
$739$	45.4039	+	12.1659i	1.67021	+	0.447532i	0.965167	−	0.261633i	$-0.0842610\pi$
$739$	45.4039	+	12.1659i	1.67021	+	0.447532i	0.705043	+	0.709165i	$0.250928\pi$
$740$	−29.4734			−1.08346
$741$	12.8016	+	13.3068i	0.470277	+	0.488839i
$742$	5.68057	+	12.1540i	0.208540	+	0.446188i
$743$	7.20187	−	26.8777i	0.264211	−	0.986049i	−0.698521	−	0.715590i	$-0.746158\pi$
$743$	7.20187	−	26.8777i	0.264211	−	0.986049i	0.962732	−	0.270459i	$-0.0871754\pi$
$744$	0.721827	+	1.25024i	0.0264635	+	0.0458361i
$745$	−15.3002	+	26.5008i	−0.560557	+	0.970914i
$746$	−17.3958	−	17.3958i	−0.636907	−	0.636907i
$747$	3.70835	+	13.8397i	0.135681	+	0.506370i
$748$	6.63550	−	1.77798i	0.242618	−	0.0650093i
$749$	−47.3769	−	17.1964i	−1.73111	−	0.628344i
$750$	−6.38907	+	11.0662i	−0.233296	+	0.404081i
$751$	35.2503	−	20.3518i	1.28630	−	0.742647i	0.308310	−	0.951286i	$-0.400237\pi$
$751$	35.2503	−	20.3518i	1.28630	−	0.742647i	0.977993	+	0.208639i	$0.0669034\pi$
$752$	−1.84134	+	6.87199i	−0.0671469	+	0.250596i
$753$			12.2748i			0.447318i
$754$	−53.8801	+	13.3253i	−1.96220	+	0.485279i
$755$			50.9344i			1.85369i
$756$	−0.804162	−	4.53722i	−0.0292471	−	0.165017i
$757$	6.21461	+	10.7640i	0.225874	+	0.391225i	0.956581	−	0.291466i	$-0.0941430\pi$
$757$	6.21461	+	10.7640i	0.225874	+	0.391225i	−0.730707	+	0.682691i	$0.760810\pi$
$758$	−32.6045	−	18.8242i	−1.18425	−	0.683726i
$759$	18.3628	−	18.3628i	0.666528	−	0.666528i
$760$	8.53318	−	2.28646i	0.309531	−	0.0829386i
$761$	−9.99508	+	2.67817i	−0.362322	+	0.0970838i	−0.435387	−	0.900243i	$-0.643388\pi$
$761$	−9.99508	+	2.67817i	−0.362322	+	0.0970838i	0.0730655	+	0.997327i	$0.476722\pi$
$762$	−19.3498	−	19.3498i	−0.700968	−	0.700968i
$763$	−34.5732	−	2.99403i	−1.25163	−	0.108391i
$764$	−20.9726	+	12.1085i	−0.758762	+	0.438071i
$765$	4.45246	+	1.19303i	0.160979	+	0.0431342i
$766$	10.3316			0.373295
$767$	14.3825	−	3.55699i	0.519322	−	0.128435i
$768$		−	19.3028i		−	0.696529i
$769$	12.9631	+	3.47345i	0.467461	+	0.125256i	0.484858	−	0.874593i	$-0.338871\pi$
$769$	12.9631	+	3.47345i	0.467461	+	0.125256i	−0.0173970	+	0.999849i	$0.505538\pi$
$770$	42.7644	+	29.8877i	1.54112	+	1.07708i
$771$	4.83017	+	2.78870i	0.173954	+	0.100433i
$772$	−3.57812	−	3.57812i	−0.128779	−	0.128779i
$773$	8.80996	+	32.8792i	0.316872	+	1.18258i	0.922234	+	0.386632i	$0.126362\pi$
$773$	8.80996	+	32.8792i	0.316872	+	1.18258i	−0.605362	+	0.795950i	$0.706972\pi$
$774$	−0.122796	−	0.458282i	−0.00441382	−	0.0164726i
$775$	14.1222	+	14.1222i	0.507285	+	0.507285i
$776$	−5.49307	−	3.17143i	−0.197190	−	0.113848i
$777$	−7.43086	+	10.6323i	−0.266581	+	0.381433i
$778$	5.62633	+	1.50757i	0.201714	+	0.0540491i
$779$			7.72259i			0.276691i
$780$	15.6201	−	15.0270i	0.559288	−	0.538052i
$781$	−33.7816			−1.20880
$782$	21.9389	+	5.87852i	0.784534	+	0.210215i
$783$	−6.89205	+	3.97913i	−0.246302	+	0.142202i
$784$	−29.2524	+	10.7055i	−1.04473	+	0.382340i
$785$	−2.58530	−	2.58530i	−0.0922733	−	0.0922733i
$786$	18.6466	−	4.99634i	0.665102	−	0.178213i
$787$	44.0881	−	11.8134i	1.57157	−	0.421101i	0.635267	−	0.772293i	$-0.280890\pi$
$787$	44.0881	−	11.8134i	1.57157	−	0.421101i	0.936303	+	0.351192i	$0.114224\pi$
$788$	−1.00305	+	1.00305i	−0.0357323	+	0.0357323i
$789$	0.421964	+	0.243621i	0.0150223	+	0.00867315i
$790$	25.5470	+	44.2487i	0.908921	+	1.57430i
$791$	3.26328	+	18.4120i	0.116029	+	0.654654i
$792$			1.47608i			0.0524502i
$793$	−27.9076	−	16.8407i	−0.991029	−	0.598032i
$794$		−	27.6043i		−	0.979639i
$795$	−2.34189	+	8.74004i	−0.0830582	+	0.309977i
$796$	−2.59757	+	1.49971i	−0.0920683	+	0.0531557i
$797$	−2.38876	+	4.13745i	−0.0846141	+	0.146556i	−0.905227	−	0.424929i	$-0.860299\pi$
$797$	−2.38876	+	4.13745i	−0.0846141	+	0.146556i	0.820613	+	0.571485i	$0.193632\pi$
$798$	−8.94235	+	24.6365i	−0.316556	+	0.872124i
$799$	2.06231	−	0.552595i	0.0729594	−	0.0195494i
$800$	−13.6144	−	50.8097i	−0.481342	−	1.79639i
$801$	−11.2420	−	11.2420i	−0.397217	−	0.397217i
$802$	−29.6777	+	51.4033i	−1.04796	+	1.81511i
$803$	2.21661	+	3.83929i	0.0782226	+	0.135485i
$804$	−5.18229	+	19.3406i	−0.182765	+	0.682089i
$805$	33.9981	+	72.7416i	1.19828	+	2.56381i
$806$	−9.73377	−	17.6390i	−0.342857	−	0.621308i
$807$	−16.4548			−0.579237
$808$	4.34260	+	1.16360i	0.152772	+	0.0409351i
$809$	15.3742	+	26.6289i	0.540529	+	0.936224i	0.998874	+	0.0474491i	$0.0151092\pi$
$809$	15.3742	+	26.6289i	0.540529	+	0.936224i	−0.458345	+	0.888775i	$0.651557\pi$
$810$	3.33831	−	5.78213i	0.117296	−	0.203163i
$811$	−27.1910	+	27.1910i	−0.954806	+	0.954806i	−0.999022	−	0.0442157i	$-0.985921\pi$
$811$	−27.1910	+	27.1910i	−0.954806	+	0.954806i	0.0442157	+	0.999022i	$0.485921\pi$
$812$	−23.5965	−	28.0709i	−0.828074	−	0.985094i
$813$	−5.62502	−	20.9928i	−0.197278	−	0.736251i
$814$	−19.8064	+	19.8064i	−0.694214	+	0.694214i
$815$	31.9474	+	18.4449i	1.11907	+	0.646095i
$816$	−5.14658	+	2.97138i	−0.180166	+	0.104019i
$817$	−0.325109	+	1.21332i	−0.0113741	+	0.0424488i
$818$	21.5980			0.755155
$819$	−1.48273	−	9.42346i	−0.0518107	−	0.329282i
$820$	9.06508			0.316566
$821$	0.190347	−	0.710386i	0.00664317	−	0.0247926i	−0.962525	−	0.271194i	$-0.912581\pi$
$821$	0.190347	−	0.710386i	0.00664317	−	0.0247926i	0.969168	+	0.246401i	$0.0792482\pi$
$822$	−0.914613	+	0.528052i	−0.0319008	+	0.0184179i
$823$	−29.7715	−	17.1886i	−1.03777	−	0.599157i	−0.118570	−	0.992946i	$-0.537831\pi$
$823$	−29.7715	−	17.1886i	−1.03777	−	0.599157i	−0.919201	+	0.393789i	$0.871164\pi$
$824$	2.23247	−	2.23247i	0.0777718	−	0.0777718i
$825$	5.28519	+	19.7246i	0.184007	+	0.686722i
$826$	13.5318	+	16.0978i	0.470833	+	0.560113i
$827$	17.5703	−	17.5703i	0.610979	−	0.610979i	−0.332222	−	0.943201i	$-0.607798\pi$
$827$	17.5703	−	17.5703i	0.610979	−	0.610979i	0.943201	+	0.332222i	$0.107798\pi$
$828$	7.65663	−	13.2617i	0.266086	−	0.460875i
$829$	−0.225668	−	0.390869i	−0.00783778	−	0.0135754i	0.862080	−	0.506772i	$-0.169162\pi$
$829$	−0.225668	−	0.390869i	−0.00783778	−	0.0135754i	−0.869918	+	0.493197i	$0.835828\pi$
$830$	−92.4028	−	24.7592i	−3.20735	−	0.859406i
$831$	−27.6334			−0.958593
$832$	−0.405805	+	20.9689i	−0.0140688	+	0.726965i
$833$	7.17173	+	5.99626i	0.248486	+	0.207758i
$834$	−1.67386	+	6.24693i	−0.0579610	+	0.216314i
$835$	1.35713	+	2.35062i	0.0469655	+	0.0813466i
$836$	−13.1718	+	22.8142i	−0.455556	+	0.789046i
$837$	−2.04259	−	2.04259i	−0.0706024	−	0.0706024i
$838$	5.49034	+	20.4902i	0.189661	+	0.707824i
$839$	42.5808	−	11.4095i	1.47005	−	0.393899i	0.567102	−	0.823647i	$-0.308064\pi$
$839$	42.5808	−	11.4095i	1.47005	−	0.393899i	0.902949	+	0.429748i	$0.141398\pi$
$840$	−4.29009	−	1.55718i	−0.148022	−	0.0537278i
$841$	−17.1669	+	29.7339i	−0.591961	+	1.02531i
$842$	−15.7233	+	9.07786i	−0.541861	+	0.312844i
$843$	−5.66252	+	21.1328i	−0.195028	+	0.727853i
$844$			6.41858i			0.220937i
$845$	32.9327	−	30.4775i	1.13292	−	1.04846i
$846$		−	3.09251i		−	0.106323i
$847$	−5.93084	+	1.05116i	−0.203786	+	0.0361184i
$848$	−5.83272	−	10.1026i	−0.200297	−	0.346924i
$849$	−4.63631	−	2.67677i	−0.159118	−	0.0918666i
$850$	−12.6289	+	12.6289i	−0.433169	+	0.433169i
$851$	−41.6391	+	11.1572i	−1.42737	+	0.382463i
$852$	−19.2414	+	5.15572i	−0.659200	+	0.176632i
$853$	3.63181	+	3.63181i	0.124351	+	0.124351i	0.766543	−	0.642193i	$-0.221975\pi$
$853$	3.63181	+	3.63181i	0.124351	+	0.124351i	−0.642193	+	0.766543i	$0.721975\pi$
$854$	3.99167	−	46.0934i	0.136592	−	1.57728i
$855$	−15.3085	+	8.83835i	−0.523539	+	0.302265i
$856$	9.19607	+	2.46408i	0.314315	+	0.0842205i
$857$	−12.7961			−0.437106			−0.218553	−	0.975825i	$-0.570134\pi$
$857$	−12.7961			−0.437106			−0.218553	+	0.975825i	$0.570134\pi$
$858$	0.398572	−	20.5951i	0.0136070	−	0.703106i
$859$		−	8.61431i		−	0.293917i	−0.989143	−	0.146958i	$-0.953052\pi$
$859$		−	8.61431i		−	0.293917i	0.989143	−	0.146958i	$-0.0469483\pi$
$860$	1.42425	+	0.381626i	0.0485664	+	0.0130133i
$861$	2.28550	−	3.27017i	0.0778896	−	0.111447i
$862$	57.7351	+	33.3334i	1.96647	+	1.13534i
$863$	36.6611	+	36.6611i	1.24796	+	1.24796i	0.956620	+	0.291338i	$0.0941006\pi$
$863$	36.6611	+	36.6611i	1.24796	+	1.24796i	0.291338	+	0.956620i	$0.405899\pi$
$864$	1.96915	+	7.34896i	0.0669917	+	0.250017i
$865$	−4.97702	−	18.5745i	−0.169224	−	0.631552i
$866$	53.8132	+	53.8132i	1.82865	+	1.82865i
$867$	−13.1779	−	7.60828i	−0.447546	−	0.258391i
$868$	7.62512	−	10.9103i	0.258813	−	0.370319i
$869$	21.8323	+	5.84995i	0.740610	+	0.198446i
$870$		−	53.1342i		−	1.80142i
$871$	−11.5011	+	39.8240i	−0.389701	+	1.34938i
$872$	6.55509			0.221983
$873$	12.2592	+	3.28484i	0.414911	+	0.111175i
$874$	−75.4305	+	43.5498i	−2.55147	+	1.47309i
$875$	−17.4126	−	1.50793i	−0.588654	−	0.0509772i
$876$	1.84850	+	1.84850i	0.0624549	+	0.0624549i
$877$	−8.12066	+	2.17593i	−0.274215	+	0.0734758i	−0.393306	−	0.919408i	$-0.628669\pi$
$877$	−8.12066	+	2.17593i	−0.274215	+	0.0734758i	0.119091	+	0.992883i	$0.462002\pi$
$878$	3.22251	−	0.863470i	0.108755	−	0.0291407i
$879$	8.69998	−	8.69998i	0.293443	−	0.293443i
$880$	−39.2879	−	22.6829i	−1.32439	−	0.764639i
$881$	24.2720	+	42.0404i	0.817745	+	1.41638i	0.907340	+	0.420397i	$0.138109\pi$
$881$	24.2720	+	42.0404i	0.817745	+	1.41638i	−0.0895951	+	0.995978i	$0.528557\pi$
$882$	11.0779	−	7.78596i	0.373011	−	0.262167i
$883$		−	41.4666i		−	1.39546i	−0.716359	−	0.697731i	$-0.754193\pi$
$883$		−	41.4666i		−	1.39546i	0.716359	−	0.697731i	$-0.245807\pi$
$884$	7.34232	−	4.05173i	0.246949	−	0.136274i
$885$			14.1834i			0.476769i
$886$	1.81475	−	6.77273i	0.0609676	−	0.227534i
$887$	35.6698	−	20.5940i	1.19768	−	0.691479i	0.237640	−	0.971353i	$-0.423626\pi$
$887$	35.6698	−	20.5940i	1.19768	−	0.691479i	0.960037	+	0.279875i	$0.0902929\pi$
$888$	1.22513	−	2.12199i	0.0411127	−	0.0712093i
$889$	12.7705	−	35.1831i	0.428307	−	1.18000i
$890$	102.532	−	27.4734i	3.43688	−	0.920909i
$891$	−0.764433	−	2.85290i	−0.0256095	−	0.0955759i
$892$	−23.0441	−	23.0441i	−0.771575	−	0.771575i
$893$	−4.09379	+	7.09065i	−0.136993	+	0.237280i
$894$	8.57438	+	14.8513i	0.286770	+	0.496700i
$895$	−3.13932	+	11.7161i	−0.104936	+	0.391626i
$896$	9.50305	−	4.44156i	0.317475	−	0.148382i
$897$	16.3791	−	27.1426i	0.546882	−	0.906266i
$898$	−23.5687			−0.786497
$899$	−22.2054	−	5.94992i	−0.740591	−	0.198441i
$900$	6.02071	+	10.4282i	0.200690	+	0.347606i
$901$	−1.75042	+	3.03182i	−0.0583151	+	0.101005i
$902$	6.09182	−	6.09182i	0.202836	−	0.202836i
$903$	0.496752	−	0.417572i	0.0165309	−	0.0138959i
$904$	−0.914177	−	3.41175i	−0.0304051	−	0.113473i
$905$	−56.9130	+	56.9130i	−1.89185	+	1.89185i
$906$	24.7199	+	14.2720i	0.821263	+	0.474156i
$907$	−11.7828	+	6.80280i	−0.391241	+	0.225883i	−0.682698	−	0.730701i	$-0.739193\pi$
$907$	−11.7828	+	6.80280i	−0.391241	+	0.225883i	0.291456	+	0.956584i	$0.405860\pi$
$908$	−0.592007	+	2.20940i	−0.0196464	+	0.0733215i
$909$	−8.99579			−0.298372
$910$	59.4374	+	22.8851i	1.97033	+	0.758634i
$911$	−4.82402			−0.159827			−0.0799135	−	0.996802i	$-0.525464\pi$
$911$	−4.82402			−0.159827			−0.0799135	+	0.996802i	$0.525464\pi$
$912$	5.89833	−	22.0129i	0.195313	−	0.728919i
$913$	−36.6487	+	21.1591i	−1.21289	+	0.700265i
$914$	−27.2181	−	15.7144i	−0.900296	−	0.519786i
$915$	22.0644	−	22.0644i	0.729428	−	0.729428i
$916$	−4.46020	−	16.6457i	−0.147369	−	0.549989i
$917$	16.9902	+	20.2118i	0.561065	+	0.667454i
$918$	1.82661	−	1.82661i	0.0602871	−	0.0602871i
$919$	26.8960	−	46.5852i	0.887216	−	1.53670i	0.0440628	−	0.999029i	$-0.485970\pi$
$919$	26.8960	−	46.5852i	0.887216	−	1.53670i	0.843153	−	0.537674i	$-0.180697\pi$
$920$	−7.58356	−	13.1351i	−0.250023	−	0.433052i
$921$	11.4299	+	3.06265i	0.376630	+	0.100918i
$922$	7.26965			0.239413
$923$	−40.0329	+	9.90069i	−1.31770	+	0.325885i
$924$	12.3295	−	5.76260i	0.405611	−	0.189576i
$925$	8.77331	−	32.7425i	0.288465	−	1.07657i
$926$	−11.3073	−	19.5848i	−0.371580	−	0.643596i
$927$	−3.15867	+	5.47098i	−0.103744	+	0.179690i
$928$	42.8139	+	42.8139i	1.40543	+	1.40543i
$929$	1.83189	+	6.83673i	0.0601025	+	0.224306i	0.989444	−	0.144916i	$-0.0462911\pi$
$929$	1.83189	+	6.83673i	0.0601025	+	0.224306i	−0.929341	+	0.369221i	$0.879624\pi$
$930$	18.6294	−	4.99172i	0.610881	−	0.163685i
$931$	−35.7067	+	3.18743i	−1.17024	+	0.104464i
$932$	21.5384	−	37.3056i	0.705513	−	1.22198i
$933$	−1.97882	+	1.14247i	−0.0647836	+	0.0374028i
$934$	16.1182	−	60.1539i	0.527403	−	1.96830i
$935$			13.6144i			0.445240i
$936$	0.432609	+	1.74923i	0.0141403	+	0.0571753i
$937$		−	17.4831i		−	0.571147i	−0.958357	−	0.285574i	$-0.907816\pi$
$937$		−	17.4831i		−	0.571147i	0.958357	−	0.285574i	$-0.0921841\pi$
$938$	−57.9338	+	10.2680i	−1.89160	+	0.335262i
$939$	12.3328	+	21.3610i	0.402466	+	0.697091i
$940$	8.32328	+	4.80545i	0.271475	+	0.156736i
$941$	11.1218	−	11.1218i	0.362560	−	0.362560i	−0.502195	−	0.864754i	$-0.667474\pi$
$941$	11.1218	−	11.1218i	0.362560	−	0.362560i	0.864754	+	0.502195i	$0.167474\pi$
$942$	−1.97913	+	0.530306i	−0.0644835	+	0.0172783i
$943$	12.8069	−	3.43159i	0.417049	−	0.111748i
$944$	−12.9299	−	12.9299i	−0.420834	−	0.420834i
$945$	9.09815	+	0.787896i	0.295963	+	0.0256303i
$946$	1.21356	−	0.700652i	0.0394564	−	0.0227802i
$947$	−42.7851	−	11.4642i	−1.39033	−	0.372537i	−0.515466	−	0.856910i	$-0.672381\pi$
$947$	−42.7851	−	11.4642i	−1.39033	−	0.372537i	−0.874862	+	0.484373i	$0.839048\pi$
$948$	13.3281			0.432878
$949$	3.75202	+	3.90011i	0.121796	+	0.126603i
$950$		−	68.4899i		−	2.22210i
$951$	−4.85707	−	1.30145i	−0.157501	−	0.0422023i
$952$	−1.44736	−	1.01155i	−0.0469093	−	0.0327846i
$953$	−46.1967	−	26.6717i	−1.49646	−	0.863980i	−0.496465	−	0.868057i	$-0.665369\pi$
$953$	−46.1967	−	26.6717i	−1.49646	−	0.863980i	−0.999992	+	0.00407700i	$0.998702\pi$
$954$	3.58558	+	3.58558i	0.116087	+	0.116087i
$955$	−12.4219	−	46.3591i	−0.401962	−	1.50014i
$956$	4.65586	+	17.3759i	0.150581	+	0.561976i
$957$	−16.6206	−	16.6206i	−0.537267	−	0.537267i
$958$	3.94974	+	2.28038i	0.127610	+	0.0736758i
$959$	−1.18402	−	0.827502i	−0.0382339	−	0.0267214i
$960$	−19.3935	−	5.19646i	−0.625921	−	0.167715i
$961$			22.6556i			0.730826i
$962$	−17.6667	+	29.2765i	−0.569599	+	0.943911i
$963$	−19.0499			−0.613874
$964$	15.0307	+	4.02747i	0.484107	+	0.129716i
$965$	8.68499	−	5.01428i	0.279580	−	0.161415i
$966$	44.8299	+	3.88226i	1.44238	+	0.124910i
$967$	8.45160	+	8.45160i	0.271785	+	0.271785i	0.829819	−	0.558033i	$-0.188444\pi$
$967$	8.45160	+	8.45160i	0.271785	+	0.271785i	−0.558033	+	0.829819i	$0.688444\pi$
$968$	1.09899	−	0.294473i	0.0353228	−	0.00946472i
$969$	−6.60615	+	1.77011i	−0.212220	+	0.0568642i
$970$	−59.9184	+	59.9184i	−1.92386	+	1.92386i
$971$	−14.8642	−	8.58184i	−0.477014	−	0.275404i	0.242157	−	0.970237i	$-0.422145\pi$
$971$	−14.8642	−	8.58184i	−0.477014	−	0.275404i	−0.719171	+	0.694833i	$0.755478\pi$
$972$	−0.870817	−	1.50830i	−0.0279315	−	0.0483787i
$973$	−8.71014	+	1.54376i	−0.279234	+	0.0494906i
$974$		−	26.0677i		−	0.835264i
$975$	12.0441	+	21.8257i	0.385720	+	0.698981i
$976$			40.2290i			1.28770i
$977$	−0.601718	+	2.24564i	−0.0192507	+	0.0718444i	−0.974883	−	0.222718i	$-0.928507\pi$
$977$	−0.601718	+	2.24564i	−0.0192507	+	0.0718444i	0.955632	+	0.294562i	$0.0951738\pi$
$978$	17.9036	−	10.3367i	0.572494	−	0.330530i
$979$	23.4786	−	40.6661i	0.750379	−	1.29969i
$980$	3.74153	+	41.9139i	0.119519	+	1.33889i
$981$	−12.6694	+	3.39476i	−0.404503	+	0.108386i
$982$	−13.8838	−	51.8150i	−0.443050	−	1.65348i
$983$	28.2865	+	28.2865i	0.902198	+	0.902198i	0.995626	−	0.0934279i	$-0.0297825\pi$
$983$	28.2865	+	28.2865i	0.902198	+	0.902198i	−0.0934279	+	0.995626i	$0.529782\pi$
$984$	−0.376812	+	0.652657i	−0.0120123	+	0.0208060i
$985$	−1.40566	−	2.43467i	−0.0447879	−	0.0775749i
$986$	5.32077	−	19.8574i	0.169448	−	0.632388i
$987$	3.83201	−	1.79101i	0.121974	−	0.0570086i
$988$	−8.92286	+	30.8964i	−0.283874	+	0.982945i
$989$	2.15660			0.0685758
$990$	19.0478	+	5.10383i	0.605378	+	0.162210i
$991$	19.2831	+	33.3993i	0.612549	+	1.06097i	0.990809	+	0.135266i	$0.0431889\pi$
$991$	19.2831	+	33.3993i	0.612549	+	1.06097i	−0.378261	+	0.925699i	$0.623478\pi$
$992$	−10.9888	+	19.0331i	−0.348894	+	0.604302i
$993$	−12.9167	+	12.9167i	−0.409899	+	0.409899i
$994$	−37.6652	−	44.8072i	−1.19467	−	1.42120i
$995$	−1.53852	−	5.74182i	−0.0487742	−	0.182028i
$996$	−17.6452	+	17.6452i	−0.559109	+	0.559109i
$997$	−27.3485	−	15.7897i	−0.866136	−	0.500064i	−7.37730e−5	−	1.00000i	$-0.500023\pi$
$997$	−27.3485	−	15.7897i	−0.866136	−	0.500064i	−0.866062	+	0.499936i	$0.833357\pi$
$998$	29.8224	−	17.2180i	0.944012	−	0.545026i
$999$	−1.26895	+	4.73577i	−0.0401476	+	0.149833i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.d.76.2	yes	32
3.2	odd	2		819.2.fm.e.622.7		32
7.6	odd	2		273.2.by.c.76.2	✓	32
13.6	odd	12		273.2.by.c.97.2	yes	32
21.20	even	2		819.2.fm.f.622.7		32
39.32	even	12		819.2.fm.f.370.7		32
91.6	even	12	inner	273.2.by.d.97.2	yes	32
273.188	odd	12		819.2.fm.e.370.7		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.76.2	✓	32	7.6	odd	2
273.2.by.c.97.2	yes	32	13.6	odd	12
273.2.by.d.76.2	yes	32	1.1	even	1	trivial
273.2.by.d.97.2	yes	32	91.6	even	12	inner
819.2.fm.e.370.7		32	273.188	odd	12
819.2.fm.e.622.7		32	3.2	odd	2
819.2.fm.f.370.7		32	39.32	even	12
819.2.fm.f.622.7		32	21.20	even	2

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.by (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500642 + 1.86842i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-1.50830 - 0.870817i) q^{4} +(2.44068 - 2.44068i) q^{5} +(-0.500642 - 1.86842i) q^{6} +(2.02526 - 1.70244i) q^{7} +(-0.353388 + 0.353388i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.500642 + 1.86842i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-1.50830 - 0.870817i) q^{4} +(2.44068 - 2.44068i) q^{5} +(-0.500642 - 1.86842i) q^{6} +(2.02526 - 1.70244i) q^{7} +(-0.353388 + 0.353388i) q^{8} +(0.500000 - 0.866025i) q^{9} +(3.33831 + 5.78213i) q^{10} +(2.85290 + 0.764433i) q^{11} +1.74163 q^{12} +(3.60488 + 0.0697642i) q^{13} +(2.16695 + 4.63635i) q^{14} +(-0.893352 + 3.33403i) q^{15} +(-2.22499 - 3.85380i) q^{16} +(-0.667729 + 1.15654i) q^{17} +(1.36778 + 1.36778i) q^{18} +(-1.32547 - 4.94673i) q^{19} +(-5.80667 + 1.55589i) q^{20} +(-0.902706 + 2.48699i) q^{21} +(-2.85656 + 4.94771i) q^{22} +(-7.61450 + 4.39623i) q^{23} +(0.129349 - 0.482736i) q^{24} -6.91386i q^{25} +(-1.93510 + 6.70049i) q^{26} +1.00000i q^{27} +(-4.53722 + 0.804162i) q^{28} +(3.97913 + 6.89205i) q^{29} +(-5.78213 - 3.33831i) q^{30} +(-2.04259 + 2.04259i) q^{31} +(7.34896 - 1.96915i) q^{32} +(-2.85290 + 0.764433i) q^{33} +(-1.82661 - 1.82661i) q^{34} +(0.787896 - 9.09815i) q^{35} +(-1.50830 + 0.870817i) q^{36} +(4.73577 + 1.26895i) q^{37} +9.90616 q^{38} +(-3.15680 + 1.74202i) q^{39} +1.72501i q^{40} +(-1.45657 - 0.390287i) q^{41} +(-4.19481 - 2.93172i) q^{42} +(-0.212417 - 0.122639i) q^{43} +(-3.63735 - 3.63735i) q^{44} +(-0.893352 - 3.33403i) q^{45} +(-4.40187 - 16.4280i) q^{46} +(-1.13049 - 1.13049i) q^{47} +(3.85380 + 2.22499i) q^{48} +(1.20337 - 6.89579i) q^{49} +(12.9180 + 3.46137i) q^{50} -1.33546i q^{51} +(-5.37648 - 3.24441i) q^{52} +2.62146 q^{53} +(-1.86842 - 0.500642i) q^{54} +(8.82877 - 5.09729i) q^{55} +(-0.114080 + 1.31732i) q^{56} +(3.62126 + 3.62126i) q^{57} +(-14.8694 + 3.98423i) q^{58} +(3.96915 - 1.06353i) q^{59} +(4.25078 - 4.25078i) q^{60} +(-7.82911 - 4.52014i) q^{61} +(-2.79382 - 4.83903i) q^{62} +(-0.461729 - 2.60515i) q^{63} +5.81681i q^{64} +(8.96863 - 8.62809i) q^{65} -5.71313i q^{66} +(-2.97553 + 11.1048i) q^{67} +(2.01427 - 1.16294i) q^{68} +(4.39623 - 7.61450i) q^{69} +(16.6047 + 6.02703i) q^{70} +(-11.0479 + 2.96028i) q^{71} +(0.129349 + 0.482736i) q^{72} +(1.06136 + 1.06136i) q^{73} +(-4.74184 + 8.21311i) q^{74} +(3.45693 + 5.98758i) q^{75} +(-2.30849 + 8.61540i) q^{76} +(7.07928 - 3.30873i) q^{77} +(-1.67440 - 6.77035i) q^{78} +7.65266 q^{79} +(-14.8364 - 3.97540i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(1.45844 - 2.52609i) q^{82} +(-10.1314 + 10.1314i) q^{83} +(3.52726 - 2.96503i) q^{84} +(1.19303 + 4.45246i) q^{85} +(0.335486 - 0.335486i) q^{86} +(-6.89205 - 3.97913i) q^{87} +(-1.27832 + 0.738039i) q^{88} +(4.11486 - 15.3569i) q^{89} +6.67662 q^{90} +(7.41959 - 5.99581i) q^{91} +15.3133 q^{92} +(0.747641 - 2.79024i) q^{93} +(2.67819 - 1.54626i) q^{94} +(-15.3085 - 8.83835i) q^{95} +(-5.37981 + 5.37981i) q^{96} +(3.28484 + 12.2592i) q^{97} +(12.2818 + 5.70072i) q^{98} +(2.08847 - 2.08847i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Introduction

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