LMFDB - Embedded newform 91.2.w.a.33.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(19,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 5]))

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

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

chi := DirichletCharacter("91.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.w (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:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			33.5
Character	$\chi$	$=$	91.33
Dual form			91.2.w.a.80.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0745816 - 0.278342i) q^{2} -1.06594i q^{3} +(1.66014 + 0.958482i) q^{4} +(0.133809 + 0.499383i) q^{5} +(-0.296695 - 0.0794993i) q^{6} +(-2.03333 - 1.69280i) q^{7} +(0.798123 - 0.798123i) q^{8} +1.86378 q^{9} +O(q^{10})$	\(q+(0.0745816 - 0.278342i) q^{2} -1.06594i q^{3} +(1.66014 + 0.958482i) q^{4} +(0.133809 + 0.499383i) q^{5} +(-0.296695 - 0.0794993i) q^{6} +(-2.03333 - 1.69280i) q^{7} +(0.798123 - 0.798123i) q^{8} +1.86378 q^{9} +0.148979 q^{10} +(-2.70707 + 2.70707i) q^{11} +(1.02168 - 1.76960i) q^{12} +(-1.12494 - 3.42557i) q^{13} +(-0.622826 + 0.439711i) q^{14} +(0.532311 - 0.142632i) q^{15} +(1.75434 + 3.03860i) q^{16} +(-2.26016 + 3.91471i) q^{17} +(0.139003 - 0.518768i) q^{18} +(-2.17974 + 2.17974i) q^{19} +(-0.256508 + 0.957300i) q^{20} +(-1.80442 + 2.16740i) q^{21} +(0.551594 + 0.955389i) q^{22} +(-7.51600 + 4.33936i) q^{23} +(-0.850749 - 0.850749i) q^{24} +(4.09865 - 2.36636i) q^{25} +(-1.03738 + 0.0576354i) q^{26} -5.18448i q^{27} +(-1.75310 - 4.75919i) q^{28} +(1.26720 - 2.19486i) q^{29} -0.158802i q^{30} +(1.00987 + 0.270595i) q^{31} +(3.15712 - 0.845949i) q^{32} +(2.88557 + 2.88557i) q^{33} +(0.921063 + 0.921063i) q^{34} +(0.573276 - 1.24192i) q^{35} +(3.09413 + 1.78640i) q^{36} +(0.176900 + 0.0474003i) q^{37} +(0.444144 + 0.769281i) q^{38} +(-3.65144 + 1.19912i) q^{39} +(0.505366 + 0.291773i) q^{40} +(-1.79081 - 6.68338i) q^{41} +(0.468704 + 0.663893i) q^{42} +(4.59244 - 2.65145i) q^{43} +(-7.08879 + 1.89943i) q^{44} +(0.249391 + 0.930740i) q^{45} +(0.647273 + 2.41566i) q^{46} +(9.03333 - 2.42047i) q^{47} +(3.23896 - 1.87001i) q^{48} +(1.26888 + 6.88404i) q^{49} +(-0.352973 - 1.31731i) q^{50} +(4.17284 + 2.40919i) q^{51} +(1.41578 - 6.76515i) q^{52} +(0.512534 + 0.887735i) q^{53} +(-1.44306 - 0.386667i) q^{54} +(-1.71410 - 0.989634i) q^{55} +(-2.97391 + 0.271789i) q^{56} +(2.32346 + 2.32346i) q^{57} +(-0.516412 - 0.516412i) q^{58} +(0.503336 - 0.134868i) q^{59} +(1.02042 + 0.273421i) q^{60} -8.53647i q^{61} +(0.150636 - 0.260909i) q^{62} +(-3.78968 - 3.15500i) q^{63} +6.07549i q^{64} +(1.56014 - 1.02015i) q^{65} +(1.01838 - 0.587965i) q^{66} +(-5.00628 - 5.00628i) q^{67} +(-7.50436 + 4.33264i) q^{68} +(4.62549 + 8.01158i) q^{69} +(-0.302924 - 0.252192i) q^{70} +(1.96522 - 7.33429i) q^{71} +(1.48752 - 1.48752i) q^{72} +(-3.20113 + 11.9468i) q^{73} +(0.0263870 - 0.0457036i) q^{74} +(-2.52239 - 4.36890i) q^{75} +(-5.70790 + 1.52943i) q^{76} +(10.0869 - 0.921852i) q^{77} +(0.0614358 + 1.10578i) q^{78} +(3.77800 - 6.54369i) q^{79} +(-1.28268 + 1.28268i) q^{80} +0.0650005 q^{81} -1.99383 q^{82} +(-6.42827 + 6.42827i) q^{83} +(-5.07300 + 1.86869i) q^{84} +(-2.25737 - 0.604861i) q^{85} +(-0.395498 - 1.47602i) q^{86} +(-2.33958 - 1.35076i) q^{87} +4.32115i q^{88} +(-3.13675 + 11.7065i) q^{89} +0.277664 q^{90} +(-3.51140 + 8.86961i) q^{91} -16.6368 q^{92} +(0.288437 - 1.07646i) q^{93} -2.69488i q^{94} +(-1.38019 - 0.796855i) q^{95} +(-0.901729 - 3.36530i) q^{96} +(13.1956 + 3.53575i) q^{97} +(2.01075 + 0.160240i) q^{98} +(-5.04538 + 5.04538i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.0745816	−	0.278342i	0.0527371	−	0.196818i	−0.934531	−	0.355881i	$-0.884181\pi$
$2$	0.0745816	−	0.278342i	0.0527371	−	0.196818i	0.987268	+	0.159063i	$0.0508475\pi$
$3$		−	1.06594i		−	0.615419i	−0.951480	−	0.307710i	$-0.900437\pi$
$3$		−	1.06594i		−	0.615419i	0.951480	−	0.307710i	$-0.0995625\pi$
$4$	1.66014	+	0.958482i	0.830069	+	0.479241i
$5$	0.133809	+	0.499383i	0.0598414	+	0.223331i	0.989370	−	0.145418i	$-0.0464528\pi$
$5$	0.133809	+	0.499383i	0.0598414	+	0.223331i	−0.929529	+	0.368749i	$0.879786\pi$
$6$	−0.296695	−	0.0794993i	−0.121125	−	0.0324554i
$7$	−2.03333	−	1.69280i	−0.768527	−	0.639817i
$7$	−2.03333	−	1.69280i	−0.768527	−	0.639817i
$8$	0.798123	−	0.798123i	0.282179	−	0.282179i
$9$	1.86378			0.621259
$10$	0.148979			0.0471114
$11$	−2.70707	+	2.70707i	−0.816212	+	0.816212i	−0.985557	−	0.169345i	$-0.945835\pi$
$11$	−2.70707	+	2.70707i	−0.816212	+	0.816212i	0.169345	+	0.985557i	$0.445835\pi$
$12$	1.02168	−	1.76960i	0.294934	−	0.510841i
$13$	−1.12494	−	3.42557i	−0.312003	−	0.950081i
$13$	−1.12494	−	3.42557i	−0.312003	−	0.950081i
$14$	−0.622826	+	0.439711i	−0.166457	+	0.117518i
$15$	0.532311	−	0.142632i	0.137442	−	0.0368275i
$16$	1.75434	+	3.03860i	0.438584	+	0.759650i
$17$	−2.26016	+	3.91471i	−0.548169	+	0.949457i	0.450231	+	0.892912i	$0.351342\pi$
$17$	−2.26016	+	3.91471i	−0.548169	+	0.949457i	−0.998400	+	0.0565446i	$0.981992\pi$
$18$	0.139003	−	0.518768i	0.0327634	−	0.122275i
$19$	−2.17974	+	2.17974i	−0.500066	+	0.500066i	−0.911458	−	0.411393i	$-0.865043\pi$
$19$	−2.17974	+	2.17974i	−0.500066	+	0.500066i	0.411393	+	0.911458i	$0.365043\pi$
$20$	−0.256508	+	0.957300i	−0.0573569	+	0.214059i
$21$	−1.80442	+	2.16740i	−0.393756	+	0.472966i
$22$	0.551594	+	0.955389i	0.117600	+	0.203690i
$23$	−7.51600	+	4.33936i	−1.56719	+	0.904820i	−0.570699	+	0.821159i	$0.693328\pi$
$23$	−7.51600	+	4.33936i	−1.56719	+	0.904820i	−0.996494	+	0.0836605i	$0.973339\pi$
$24$	−0.850749	−	0.850749i	−0.173658	−	0.173658i
$25$	4.09865	−	2.36636i	0.819730	−	0.473271i
$26$	−1.03738	+	0.0576354i	−0.203447	+	0.0113032i
$27$		−	5.18448i		−	0.997754i
$28$	−1.75310	−	4.75919i	−0.331305	−	0.899402i
$29$	1.26720	−	2.19486i	0.235314	−	0.407575i	−0.724050	−	0.689747i	$-0.757722\pi$
$29$	1.26720	−	2.19486i	0.235314	−	0.407575i	0.959364	+	0.282172i	$0.0910549\pi$
$30$		−	0.158802i		−	0.0289932i
$31$	1.00987	+	0.270595i	0.181378	+	0.0486002i	0.348365	−	0.937359i	$-0.386737\pi$
$31$	1.00987	+	0.270595i	0.181378	+	0.0486002i	−0.166987	+	0.985959i	$0.553404\pi$
$32$	3.15712	−	0.845949i	0.558106	−	0.149544i
$33$	2.88557	+	2.88557i	0.502313	+	0.502313i
$34$	0.921063	+	0.921063i	0.157961	+	0.157961i
$35$	0.573276	−	1.24192i	0.0969013	−	0.209924i
$36$	3.09413	+	1.78640i	0.515688	+	0.297733i
$37$	0.176900	+	0.0474003i	0.0290822	+	0.00779255i	0.273331	−	0.961920i	$-0.411875\pi$
$37$	0.176900	+	0.0474003i	0.0290822	+	0.00779255i	−0.244249	+	0.969713i	$0.578541\pi$
$38$	0.444144	+	0.769281i	0.0720497	+	0.124794i
$39$	−3.65144	+	1.19912i	−0.584698	+	0.192013i
$40$	0.505366	+	0.291773i	0.0799053	+	0.0461334i
$41$	−1.79081	−	6.68338i	−0.279677	−	1.04377i	−0.952642	−	0.304094i	$-0.901646\pi$
$41$	−1.79081	−	6.68338i	−0.279677	−	1.04377i	0.672965	−	0.739674i	$-0.265020\pi$
$42$	0.468704	+	0.663893i	0.0723226	+	0.102441i
$43$	4.59244	−	2.65145i	0.700341	−	0.404342i	−0.107134	−	0.994245i	$-0.534167\pi$
$43$	4.59244	−	2.65145i	0.700341	−	0.404342i	0.807474	+	0.589903i	$0.200834\pi$
$44$	−7.08879	+	1.89943i	−1.06867	+	0.286351i
$45$	0.249391	+	0.930740i	0.0371770	+	0.138746i
$46$	0.647273	+	2.41566i	0.0954352	+	0.356169i
$47$	9.03333	−	2.42047i	1.31765	−	0.353063i	0.469551	−	0.882905i	$-0.344416\pi$
$47$	9.03333	−	2.42047i	1.31765	−	0.353063i	0.848096	+	0.529843i	$0.177749\pi$
$48$	3.23896	−	1.87001i	0.467503	−	0.269913i
$49$	1.26888	+	6.88404i	0.181268	+	0.983434i
$50$	−0.352973	−	1.31731i	−0.0499179	−	0.186296i
$51$	4.17284	+	2.40919i	0.584314	+	0.337354i
$52$	1.41578	−	6.76515i	0.196333	−	0.938158i
$53$	0.512534	+	0.887735i	0.0704019	+	0.121940i	0.899078	−	0.437789i	$-0.144238\pi$
$53$	0.512534	+	0.887735i	0.0704019	+	0.121940i	−0.828676	+	0.559729i	$0.810905\pi$
$54$	−1.44306	−	0.386667i	−0.196376	−	0.0526187i
$55$	−1.71410	−	0.989634i	−0.231129	−	0.133442i
$56$	−2.97391	+	0.271789i	−0.397405	+	0.0363193i
$57$	2.32346	+	2.32346i	0.307750	+	0.307750i
$58$	−0.516412	−	0.516412i	−0.0678083	−	0.0678083i
$59$	0.503336	−	0.134868i	0.0655287	−	0.0175584i	−0.225906	−	0.974149i	$-0.572534\pi$
$59$	0.503336	−	0.134868i	0.0655287	−	0.0175584i	0.291434	+	0.956591i	$0.405867\pi$
$60$	1.02042	+	0.273421i	0.131736	+	0.0352985i
$61$		−	8.53647i		−	1.09298i	−0.837465	−	0.546491i	$-0.815963\pi$
$61$		−	8.53647i		−	1.09298i	0.837465	−	0.546491i	$-0.184037\pi$
$62$	0.150636	−	0.260909i	0.0191308	−	0.0331355i
$63$	−3.78968	−	3.15500i	−0.477455	−	0.397492i
$64$			6.07549i			0.759437i
$65$	1.56014	−	1.02015i	0.193512	−	0.126534i
$66$	1.01838	−	0.587965i	0.125355	−	0.0723735i
$67$	−5.00628	−	5.00628i	−0.611615	−	0.611615i	0.331752	−	0.943367i	$-0.392360\pi$
$67$	−5.00628	−	5.00628i	−0.611615	−	0.611615i	−0.943367	+	0.331752i	$0.892360\pi$
$68$	−7.50436	+	4.33264i	−0.910037	+	0.525410i
$69$	4.62549	+	8.01158i	0.556843	+	0.964481i
$70$	−0.302924	−	0.252192i	−0.0362064	−	0.0301427i
$71$	1.96522	−	7.33429i	0.233228	−	0.870420i	−0.745711	−	0.666269i	$-0.767890\pi$
$71$	1.96522	−	7.33429i	0.233228	−	0.870420i	0.978940	−	0.204150i	$-0.0654432\pi$
$72$	1.48752	−	1.48752i	0.175306	−	0.175306i
$73$	−3.20113	+	11.9468i	−0.374664	+	1.39826i	0.479171	+	0.877721i	$0.340937\pi$
$73$	−3.20113	+	11.9468i	−0.374664	+	1.39826i	−0.853835	+	0.520543i	$0.825729\pi$
$74$	0.0263870	−	0.0457036i	0.00306742	−	0.00531294i
$75$	−2.52239	−	4.36890i	−0.291260	−	0.504477i
$76$	−5.70790	+	1.52943i	−0.654741	+	0.175437i
$77$	10.0869	−	0.921852i	1.14951	−	0.105055i
$78$	0.0614358	+	1.10578i	0.00695623	+	0.125205i
$79$	3.77800	−	6.54369i	0.425058	−	0.736222i	−0.571368	−	0.820694i	$-0.693587\pi$
$79$	3.77800	−	6.54369i	0.425058	−	0.736222i	0.996426	+	0.0844720i	$0.0269204\pi$
$80$	−1.28268	+	1.28268i	−0.143408	+	0.143408i
$81$	0.0650005			0.00722228
$82$	−1.99383			−0.220181
$83$	−6.42827	+	6.42827i	−0.705594	+	0.705594i	−0.965606	−	0.260011i	$-0.916274\pi$
$83$	−6.42827	+	6.42827i	−0.705594	+	0.705594i	0.260011	+	0.965606i	$0.416274\pi$
$84$	−5.07300	+	1.86869i	−0.553509	+	0.203891i
$85$	−2.25737	−	0.604861i	−0.244846	−	0.0656064i
$86$	−0.395498	−	1.47602i	−0.0426477	−	0.159163i
$87$	−2.33958	−	1.35076i	−0.250830	−	0.144817i
$88$			4.32115i			0.460636i
$89$	−3.13675	+	11.7065i	−0.332495	+	1.24089i	0.574065	+	0.818810i	$0.305366\pi$
$89$	−3.13675	+	11.7065i	−0.332495	+	1.24089i	−0.906560	+	0.422078i	$0.861301\pi$
$90$	0.277664			0.0292684
$91$	−3.51140	+	8.86961i	−0.368095	+	0.929788i
$92$	−16.6368			−1.73451
$93$	0.288437	−	1.07646i	0.0299095	−	0.111624i
$94$		−	2.69488i		−	0.277956i
$95$	−1.38019	−	0.796855i	−0.141605	−	0.0817556i
$96$	−0.901729	−	3.36530i	−0.0920323	−	0.343469i
$97$	13.1956	+	3.53575i	1.33981	+	0.359001i	0.856364	−	0.516373i	$-0.172718\pi$
$97$	13.1956	+	3.53575i	1.33981	+	0.359001i	0.483446	+	0.875374i	$0.339385\pi$
$98$	2.01075	+	0.160240i	0.203117	+	0.0161867i
$99$	−5.04538	+	5.04538i	−0.507079	+	0.507079i
$100$	9.07243			0.907243
$101$	1.11161			0.110610			0.0553049	−	0.998470i	$-0.482387\pi$
$101$	1.11161			0.110610			0.0553049	+	0.998470i	$0.482387\pi$
$102$	0.981795	−	0.981795i	0.0972122	−	0.0972122i
$103$	−0.214188	+	0.370984i	−0.0211046	+	0.0365542i	−0.876385	−	0.481612i	$-0.840052\pi$
$103$	−0.214188	+	0.370984i	−0.0211046	+	0.0365542i	0.855280	+	0.518166i	$0.173385\pi$
$104$	−3.63187	−	1.83618i	−0.356134	−	0.180052i
$105$	−1.32381	−	0.611076i	−0.129191	−	0.0596349i
$106$	0.285320	−	0.0764512i	0.0277127	−	0.00742559i
$107$	−2.50817	−	4.34428i	−0.242474	−	0.419977i	0.718944	−	0.695068i	$-0.244626\pi$
$107$	−2.50817	−	4.34428i	−0.242474	−	0.419977i	−0.961418	+	0.275090i	$0.911292\pi$
$108$	4.96923	−	8.60696i	0.478164	−	0.828205i
$109$	0.219786	−	0.820253i	0.0210517	−	0.0785660i	−0.954601	−	0.297888i	$-0.903718\pi$
$109$	0.219786	−	0.820253i	0.0210517	−	0.0785660i	0.975653	+	0.219322i	$0.0703845\pi$
$110$	−0.403297	+	0.403297i	−0.0384529	+	0.0384529i
$111$	0.0505257	−	0.188564i	0.00479569	−	0.0178977i
$112$	1.57658	−	9.14822i	0.148973	−	0.864426i
$113$	2.44889	+	4.24160i	0.230372	+	0.399016i	0.957918	−	0.287043i	$-0.0926724\pi$
$113$	2.44889	+	4.24160i	0.230372	+	0.399016i	−0.727546	+	0.686059i	$0.759339\pi$
$114$	0.820005	−	0.473430i	0.0768005	−	0.0443408i
$115$	−3.17272	−	3.17272i	−0.295857	−	0.295857i
$116$	4.20747	−	2.42918i	0.390653	−	0.225544i
$117$	−2.09665	−	6.38449i	−0.193835	−	0.590247i
$118$		−	0.150158i		−	0.0138232i
$119$	11.2225	−	4.13392i	1.02876	−	0.378955i
$120$	0.311012	−	0.538688i	0.0283914	−	0.0491753i
$121$		−	3.65645i		−	0.332404i
$122$	−2.37606	−	0.636663i	−0.215118	−	0.0576408i
$123$	−7.12406	+	1.90889i	−0.642355	+	0.172119i
$124$	1.41717	+	1.41717i	0.127266	+	0.127266i
$125$	3.55803	+	3.55803i	0.318240	+	0.318240i
$126$	−1.16081	+	0.819523i	−0.103413	+	0.0730089i
$127$	−3.00665	−	1.73589i	−0.266797	−	0.154035i	0.360634	−	0.932707i	$-0.382560\pi$
$127$	−3.00665	−	1.73589i	−0.266797	−	0.154035i	−0.627431	+	0.778672i	$0.715894\pi$
$128$	8.00532	+	2.14502i	0.707577	+	0.189595i
$129$	−2.82628	−	4.89525i	−0.248840	−	0.431003i
$130$	−0.167593	−	0.510338i	−0.0146989	−	0.0447596i
$131$	15.0157	+	8.66932i	1.31193	+	0.757442i	0.982415	−	0.186710i	$-0.0597823\pi$
$131$	15.0157	+	8.66932i	1.31193	+	0.757442i	0.329512	+	0.944151i	$0.393116\pi$
$132$	2.02468	+	7.55620i	0.176226	+	0.657683i
$133$	8.12198	−	0.742277i	0.704265	−	0.0643635i
$134$	−1.76684	+	1.02008i	−0.152631	+	0.0881218i
$135$	2.58904	−	0.693732i	0.222829	−	0.0597070i
$136$	1.32054	+	4.92831i	0.113235	+	0.422599i
$137$	−2.44489	−	9.12446i	−0.208881	−	0.779555i	−0.988231	−	0.152966i	$-0.951117\pi$
$137$	−2.44489	−	9.12446i	−0.208881	−	0.779555i	0.779350	−	0.626589i	$-0.215549\pi$
$138$	2.57494	−	0.689952i	0.219193	−	0.0587327i
$139$	−13.1525	+	7.59358i	−1.11558	+	0.644079i	−0.940268	−	0.340434i	$-0.889426\pi$
$139$	−13.1525	+	7.59358i	−1.11558	+	0.644079i	−0.175310	+	0.984513i	$0.556093\pi$
$140$	2.14208	−	1.51229i	0.181039	−	0.127812i
$141$	−2.58007	−	9.62897i	−0.217281	−	0.810905i
$142$	−1.89487	−	1.09401i	−0.159014	−	0.0918069i
$143$	12.3185	+	6.22794i	1.03013	+	0.520807i
$144$	3.26969	+	5.66328i	0.272475	+	0.471940i
$145$	1.26564	+	0.339127i	0.105106	+	0.0281630i
$146$	3.08655	+	1.78202i	0.255444	+	0.147481i
$147$	7.33795	−	1.35254i	0.605224	−	0.111556i
$148$	0.248247	+	0.248247i	0.0204057	+	0.0204057i
$149$	−10.1579	−	10.1579i	−0.832170	−	0.832170i	0.155643	−	0.987813i	$-0.450255\pi$
$149$	−10.1579	−	10.1579i	−0.832170	−	0.832170i	−0.987813	+	0.155643i	$0.950255\pi$
$150$	−1.40417	+	0.376247i	−0.114650	+	0.0307205i
$151$	−4.79468	−	1.28473i	−0.390185	−	0.104550i	0.0583923	−	0.998294i	$-0.481403\pi$
$151$	−4.79468	−	1.28473i	−0.390185	−	0.104550i	−0.448578	+	0.893744i	$0.648069\pi$
$152$			3.47940i			0.282216i
$153$	−4.21243	+	7.29615i	−0.340555	+	0.589859i
$154$	0.495706	−	2.87636i	0.0399451	−	0.231784i
$155$			0.540522i			0.0434157i
$156$	−7.21123	−	1.50913i	−0.577360	−	0.120827i
$157$	3.02404	−	1.74593i	0.241345	−	0.139340i	−0.374450	−	0.927247i	$-0.622168\pi$
$157$	3.02404	−	1.74593i	0.241345	−	0.139340i	0.615795	+	0.787907i	$0.288835\pi$
$158$	−1.53961	−	1.53961i	−0.122485	−	0.122485i
$159$	0.946269	−	0.546329i	0.0750440	−	0.0433267i
$160$	0.844906	+	1.46342i	0.0667957	+	0.115693i
$161$	22.6282	+	3.89969i	1.78335	+	0.307339i
$162$	0.00484784	−	0.0180924i	0.000380882	−	0.00142147i
$163$	1.62342	−	1.62342i	0.127156	−	0.127156i	−0.640665	−	0.767821i	$-0.721341\pi$
$163$	1.62342	−	1.62342i	0.127156	−	0.127156i	0.767821	+	0.640665i	$0.221341\pi$
$164$	3.43291	−	12.8118i	0.268065	−	1.00043i
$165$	−1.05489	+	1.82712i	−0.0821229	+	0.142241i
$166$	1.30983	+	2.26869i	0.101662	+	0.176085i
$167$	20.2547	−	5.42723i	1.56736	−	0.419972i	0.632372	−	0.774665i	$-0.282081\pi$
$167$	20.2547	−	5.42723i	1.56736	−	0.419972i	0.934983	+	0.354693i	$0.115415\pi$
$168$	0.289710	+	3.17000i	0.0223516	+	0.244571i
$169$	−10.4690	+	7.70714i	−0.805308	+	0.592857i
$170$	−0.336717	+	0.583210i	−0.0258250	+	0.0447302i
$171$	−4.06254	+	4.06254i	−0.310670	+	0.310670i
$172$	10.1655			0.775108
$173$	−20.0875			−1.52723			−0.763613	−	0.645674i	$-0.776577\pi$
$173$	−20.0875			−1.52723			−0.763613	+	0.645674i	$0.776577\pi$
$174$	−0.550463	+	0.550463i	−0.0417305	+	0.0417305i
$175$	−12.3397	−	2.12659i	−0.932792	−	0.160755i
$176$	−12.9748	−	3.47659i	−0.978013	−	0.262058i
$177$	−0.143761	−	0.536524i	−0.0108058	−	0.0403276i
$178$	3.02447	+	1.74618i	0.226694	+	0.130882i
$179$		−	21.4282i		−	1.60162i	−0.598919	−	0.800810i	$-0.704403\pi$
$179$		−	21.4282i		−	1.60162i	0.598919	−	0.800810i	$-0.295597\pi$
$180$	−0.478073	+	1.78419i	−0.0356335	+	0.132986i
$181$	−19.7532			−1.46824			−0.734121	−	0.679019i	$-0.762405\pi$
$181$	−19.7532			−1.46824			−0.734121	+	0.679019i	$0.762405\pi$
$182$	2.20690	+	1.63888i	0.163586	+	0.121482i
$183$	−9.09934			−0.672643
$184$	−2.53534	+	9.46203i	−0.186908	+	0.697550i
$185$			0.0946836i			0.00696128i
$186$	−0.278112	−	0.160568i	−0.0203922	−	0.0117734i
$187$	−4.47898	−	16.7158i	−0.327536	−	1.22238i
$188$	17.3166	+	4.63996i	1.26294	+	0.338404i
$189$	−8.77627	+	10.5418i	−0.638380	+	0.766801i
$190$	−0.324735	+	0.324735i	−0.0235588	+	0.0235588i
$191$	−4.29877			−0.311048			−0.155524	−	0.987832i	$-0.549707\pi$
$191$	−4.29877			−0.311048			−0.155524	+	0.987832i	$0.549707\pi$
$192$	6.47610			0.467372
$193$	−9.58390	+	9.58390i	−0.689864	+	0.689864i	−0.962202	−	0.272337i	$-0.912203\pi$
$193$	−9.58390	+	9.58390i	−0.689864	+	0.689864i	0.272337	+	0.962202i	$0.412203\pi$
$194$	1.96830	−	3.40919i	0.141315	−	0.244766i
$195$	−1.08742	−	1.66301i	−0.0778716	−	0.119091i
$196$	−4.49171	+	12.6447i	−0.320836	+	0.903189i
$197$	3.69905	−	0.991158i	0.263546	−	0.0706171i	−0.124626	−	0.992204i	$-0.539773\pi$
$197$	3.69905	−	0.991158i	0.263546	−	0.0706171i	0.388173	+	0.921587i	$0.373106\pi$
$198$	1.02805	+	1.78063i	0.0730603	+	0.126544i
$199$	−5.25409	+	9.10036i	−0.372453	+	0.645107i	−0.989942	−	0.141472i	$-0.954817\pi$
$199$	−5.25409	+	9.10036i	−0.372453	+	0.645107i	0.617489	+	0.786579i	$0.288150\pi$
$200$	1.38258	−	5.15987i	0.0977634	−	0.364858i
$201$	−5.33638	+	5.33638i	−0.376400	+	0.376400i
$202$	0.0829059	−	0.309409i	0.00583324	−	0.0217700i
$203$	−6.29210	+	2.31776i	−0.441619	+	0.162675i
$204$	4.61832	+	7.99917i	0.323347	+	0.560054i
$205$	3.09794	−	1.78860i	0.216370	−	0.124921i
$206$	0.0872861	+	0.0872861i	0.00608151	+	0.00608151i
$207$	−14.0081	+	8.08761i	−0.973633	+	0.562128i
$208$	8.43540	−	9.42785i	0.584889	−	0.653704i
$209$		−	11.8014i		−	0.816319i
$210$	−0.268820	+	0.322898i	−0.0185504	+	0.0222821i
$211$	−3.87722	+	6.71554i	−0.266919	+	0.462317i	−0.968065	−	0.250701i	$-0.919339\pi$
$211$	−3.87722	+	6.71554i	−0.266919	+	0.462317i	0.701146	+	0.713018i	$0.252672\pi$
$212$			1.96502i			0.134958i
$213$	−7.81789	−	2.09480i	−0.535673	−	0.143533i
$214$	−1.39626	+	0.374126i	−0.0954463	+	0.0255748i
$215$	1.93860	+	1.93860i	0.132211	+	0.132211i
$216$	−4.13785	−	4.13785i	−0.281545	−	0.281545i
$217$	−1.59534	−	2.25972i	−0.108299	−	0.153400i
$218$	−0.211919	−	0.122352i	−0.0143530	−	0.00828669i
$219$	12.7345	+	3.41220i	0.860519	+	0.230575i
$220$	−1.89709	−	3.28586i	−0.127902	−	0.221533i
$221$	15.9527	+	3.33849i	1.07309	+	0.224571i
$222$	−0.0487172	−	0.0281269i	−0.00326968	−	0.00188775i
$223$	6.07469	+	22.6710i	0.406791	+	1.51817i	0.800728	+	0.599028i	$0.204446\pi$
$223$	6.07469	+	22.6710i	0.406791	+	1.51817i	−0.393937	+	0.919138i	$0.628887\pi$
$224$	−7.85150	−	3.62428i	−0.524601	−	0.242157i
$225$	7.63897	−	4.41036i	0.509265	−	0.294024i
$226$	1.36326	−	0.365284i	0.0906825	−	0.0242983i
$227$	1.59493	+	5.95236i	0.105859	+	0.395072i	0.998441	−	0.0558131i	$-0.0177751\pi$
$227$	1.59493	+	5.95236i	0.105859	+	0.395072i	−0.892582	+	0.450885i	$0.851108\pi$
$228$	1.63027	+	6.08426i	0.107968	+	0.402940i
$229$	−11.0005	+	2.94756i	−0.726931	+	0.194780i	−0.603262	−	0.797543i	$-0.706133\pi$
$229$	−11.0005	+	2.94756i	−0.726931	+	0.194780i	−0.123669	+	0.992324i	$0.539466\pi$
$230$	−1.11973	+	0.646475i	−0.0738326	+	0.0426273i
$231$	−0.982636	−	10.7520i	−0.0646527	−	0.707429i
$232$	−0.740385	−	2.76315i	−0.0486086	−	0.181410i
$233$	−12.9075	−	7.45218i	−0.845602	−	0.488208i	0.0135628	−	0.999908i	$-0.495683\pi$
$233$	−12.9075	−	7.45218i	−0.845602	−	0.488208i	−0.859164	+	0.511700i	$0.829016\pi$
$234$	−1.93345	+	0.107420i	−0.126393	+	0.00702224i
$235$	2.41749	+	4.18721i	0.157700	+	0.273144i
$236$	0.964876	+	0.258538i	0.0628081	+	0.0168294i
$237$	−6.97516	−	4.02711i	−0.453085	−	0.261589i
$238$	−0.313654	−	3.43200i	−0.0203312	−	0.222463i
$239$	20.4619	+	20.4619i	1.32357	+	1.32357i	0.910864	+	0.412706i	$0.135416\pi$
$239$	20.4619	+	20.4619i	1.32357	+	1.32357i	0.412706	+	0.910864i	$0.364584\pi$
$240$	1.36726	+	1.36726i	0.0882560	+	0.0882560i
$241$	17.7659	−	4.76037i	1.14440	−	0.306642i	0.363684	−	0.931522i	$-0.381519\pi$
$241$	17.7659	−	4.76037i	1.14440	−	0.306642i	0.780721	+	0.624880i	$0.214852\pi$
$242$	−1.01774	−	0.272704i	−0.0654230	−	0.0175301i
$243$		−	15.6227i		−	1.00220i
$244$	8.18205	−	14.1717i	0.523802	−	0.907252i
$245$	−3.26799	+	1.55480i	−0.208784	+	0.0993328i
$246$			2.12530i			0.135504i
$247$	9.91891	+	5.01475i	0.631125	+	0.319081i
$248$	1.02197	−	0.590035i	0.0648952	−	0.0374672i
$249$	6.85213	+	6.85213i	0.434236	+	0.434236i
$250$	1.25571	−	0.724986i	0.0794182	−	0.0458521i
$251$	−3.43367	−	5.94730i	−0.216731	−	0.375390i	0.737075	−	0.675811i	$-0.236206\pi$
$251$	−3.43367	−	5.94730i	−0.216731	−	0.375390i	−0.953807	+	0.300421i	$0.902873\pi$
$252$	−3.26739	−	8.87007i	−0.205826	−	0.558762i
$253$	8.59937	−	32.0933i	0.540638	−	2.01769i
$254$	−0.707412	+	0.707412i	−0.0443870	+	0.0443870i
$255$	−0.644744	+	2.40622i	−0.0403754	+	0.150683i
$256$	−4.88140	+	8.45483i	−0.305087	+	0.528427i
$257$	4.16483	+	7.21370i	0.259795	+	0.449978i	0.966187	−	0.257843i	$-0.0830117\pi$
$257$	4.16483	+	7.21370i	0.259795	+	0.449978i	−0.706392	+	0.707821i	$0.749678\pi$
$258$	−1.57334	+	0.421576i	−0.0979521	+	0.0262462i
$259$	−0.279458	−	0.395836i	−0.0173647	−	0.0245961i
$260$	3.56785	−	0.198225i	0.221269	−	0.0122934i
$261$	2.36179	−	4.09073i	0.146191	−	0.253210i
$262$	3.53293	−	3.53293i	0.218265	−	0.218265i
$263$	−2.70372			−0.166719			−0.0833593	−	0.996520i	$-0.526565\pi$
$263$	−2.70372			−0.166719			−0.0833593	+	0.996520i	$0.526565\pi$
$264$	4.60607			0.283484
$265$	−0.374738	+	0.374738i	−0.0230200	+	0.0230200i
$266$	0.399143	−	2.31605i	0.0244730	−	0.142006i
$267$	12.4784	+	3.34358i	0.763666	+	0.204624i
$268$	−3.51270	−	13.1096i	−0.214572	−	0.800794i
$269$	−20.2332	−	11.6816i	−1.23364	−	0.712242i	−0.265853	−	0.964014i	$-0.585654\pi$
$269$	−20.2332	−	11.6816i	−1.23364	−	0.712242i	−0.967787	+	0.251771i	$0.918987\pi$
$270$		−	0.772380i		−	0.0470055i
$271$	3.44030	−	12.8394i	0.208983	−	0.779936i	−0.779215	−	0.626756i	$-0.784382\pi$
$271$	3.44030	−	12.8394i	0.208983	−	0.779936i	0.988198	−	0.153179i	$-0.0489512\pi$
$272$	−15.8603			−0.961673
$273$	9.45445	+	3.74293i	0.572210	+	0.226533i
$274$	−2.72207			−0.164446
$275$	−4.68944	+	17.5012i	−0.282784	+	1.05536i
$276$			17.7338i			1.06745i
$277$	4.19252	+	2.42055i	0.251904	+	0.145437i	0.620636	−	0.784099i	$-0.286875\pi$
$277$	4.19252	+	2.42055i	0.251904	+	0.145437i	−0.368732	+	0.929536i	$0.620208\pi$
$278$	1.13268	+	4.22723i	0.0679338	+	0.253532i
$279$	1.88218	+	0.504328i	0.112683	+	0.0301933i
$280$	−0.533664	−	1.44875i	−0.0318925	−	0.0865795i
$281$	8.60836	−	8.60836i	0.513532	−	0.513532i	−0.402075	−	0.915607i	$-0.631711\pi$
$281$	8.60836	−	8.60836i	0.513532	−	0.513532i	0.915607	+	0.402075i	$0.131711\pi$
$282$	−2.87257			−0.171059
$283$	−1.05573			−0.0627569			−0.0313784	−	0.999508i	$-0.509990\pi$
$283$	−1.05573			−0.0627569			−0.0313784	+	0.999508i	$0.509990\pi$
$284$	10.2923	−	10.2923i	0.610736	−	0.610736i
$285$	−0.849397	+	1.47120i	−0.0503140	+	0.0871463i
$286$	2.65224	−	2.96428i	0.156830	−	0.175282i
$287$	−7.67230	+	16.6210i	−0.452882	+	0.981107i
$288$	5.88418	−	1.57666i	0.346729	−	0.0929056i
$289$	−1.71664	−	2.97331i	−0.100979	−	0.174900i
$290$	0.188787	−	0.326989i	0.0110860	−	0.0192014i
$291$	3.76889	−	14.0657i	0.220936	−	0.824544i
$292$	−16.7651	+	16.7651i	−0.981102	+	0.981102i
$293$	5.31237	−	19.8260i	0.310352	−	1.15825i	−0.617888	−	0.786266i	$-0.712011\pi$
$293$	5.31237	−	19.8260i	0.310352	−	1.15825i	0.928240	−	0.371983i	$-0.121322\pi$
$294$	0.170806	−	2.14334i	0.00996160	−	0.125002i
$295$	0.134702	+	0.233311i	0.00784266	+	0.0135839i
$296$	0.179019	−	0.103357i	0.0104053	−	0.00600749i
$297$	14.0348	+	14.0348i	0.814379	+	0.814379i
$298$	−3.58498	+	2.06979i	−0.207672	+	0.119900i
$299$	23.3198	+	20.8650i	1.34862	+	1.20665i
$300$		−	9.67064i		−	0.558335i
$301$	−13.8263	−	2.38280i	−0.796936	−	0.137342i
$302$	−0.715189	+	1.23874i	−0.0411545	+	0.0712817i
$303$		−	1.18491i		−	0.0680714i
$304$	−10.4473	−	2.79936i	−0.599196	−	0.160554i
$305$	4.26297	−	1.14226i	0.244097	−	0.0654056i
$306$	1.71666	+	1.71666i	0.0981347	+	0.0981347i
$307$	−7.23927	−	7.23927i	−0.413167	−	0.413167i	0.469673	−	0.882840i	$-0.344372\pi$
$307$	−7.23927	−	7.23927i	−0.413167	−	0.413167i	−0.882840	+	0.469673i	$0.844372\pi$
$308$	17.6292	+	8.13769i	1.00452	+	0.463688i
$309$	0.395446	+	0.228311i	0.0224961	+	0.0129881i
$310$	0.150450	+	0.0403130i	0.00854499	+	0.00228962i
$311$	−4.86207	−	8.42134i	−0.275702	−	0.477531i	0.694610	−	0.719387i	$-0.255577\pi$
$311$	−4.86207	−	8.42134i	−0.275702	−	0.477531i	−0.970312	+	0.241856i	$0.922244\pi$
$312$	−1.95725	+	3.87134i	−0.110808	+	0.219172i
$313$	14.4470	+	8.34100i	0.816595	+	0.471461i	0.849241	−	0.528006i	$-0.177060\pi$
$313$	14.4470	+	8.34100i	0.816595	+	0.471461i	−0.0326459	+	0.999467i	$0.510393\pi$
$314$	−0.260429	−	0.971933i	−0.0146968	−	0.0548494i
$315$	1.06846	−	2.31467i	0.0602008	−	0.130417i
$316$	12.5440	−	7.24228i	0.705655	−	0.407410i
$317$	−10.2940	+	2.75827i	−0.578170	+	0.154920i	−0.536041	−	0.844192i	$-0.680081\pi$
$317$	−10.2940	+	2.75827i	−0.578170	+	0.154920i	−0.0421288	+	0.999112i	$0.513414\pi$
$318$	−0.0814921	−	0.304133i	−0.00456985	−	0.0170549i
$319$	2.51123	+	9.37205i	0.140602	+	0.524734i
$320$	−3.03400	+	0.812958i	−0.169606	+	0.0454457i
$321$	−4.63073	+	2.67355i	−0.258462	+	0.149223i
$322$	2.77309	−	6.00753i	0.154538	−	0.334787i
$323$	−3.60649	−	13.4596i	−0.200670	−	0.748911i
$324$	0.107910	+	0.0623018i	0.00599499	+	0.00346121i
$325$	−12.7169	−	11.3782i	−0.705404	−	0.631147i
$326$	−0.330790	−	0.572944i	−0.0183207	−	0.0317325i
$327$	−0.874339	−	0.234278i	−0.0483510	−	0.0129556i
$328$	−6.76344	−	3.90488i	−0.373449	−	0.215611i
$329$	−22.4651	−	10.3700i	−1.23854	−	0.571715i
$330$	0.429889	+	0.429889i	0.0236646	+	0.0236646i
$331$	24.2449	+	24.2449i	1.33262	+	1.33262i	0.903020	+	0.429598i	$0.141345\pi$
$331$	24.2449	+	24.2449i	1.33262	+	1.33262i	0.429598	+	0.903020i	$0.358655\pi$
$332$	−16.8332	+	4.51044i	−0.923842	+	0.247543i
$333$	0.329703	+	0.0883435i	0.0180676	+	0.00484120i
$334$		−	6.04251i		−	0.330631i
$335$	1.83017	−	3.16994i	0.0999927	−	0.173192i
$336$	−9.75143	−	1.68054i	−0.531984	−	0.0916810i
$337$			32.8040i			1.78695i	0.449117	+	0.893473i	$0.351739\pi$
$337$			32.8040i			1.78695i	−0.449117	+	0.893473i	$0.648261\pi$
$338$	1.36443	+	3.48878i	0.0742151	+	0.189764i
$339$	4.52128	−	2.61036i	0.245562	−	0.141775i
$340$	−3.16780	−	3.16780i	−0.171798	−	0.171798i
$341$	−3.46631	+	2.00128i	−0.187711	+	0.108375i
$342$	0.827787	+	1.43377i	0.0447616	+	0.0775293i
$343$	9.07323	−	16.1455i	0.489908	−	0.871774i
$344$	1.54915	−	5.78151i	0.0835247	−	0.311718i
$345$	−3.38192	+	3.38192i	−0.182076	+	0.182076i
$346$	−1.49816	+	5.59121i	−0.0805416	+	0.300585i
$347$	−4.53276	+	7.85096i	−0.243331	+	0.421462i	−0.961661	−	0.274241i	$-0.911573\pi$
$347$	−4.53276	+	7.85096i	−0.243331	+	0.421462i	0.718330	+	0.695703i	$0.244907\pi$
$348$	−2.58936	−	4.48490i	−0.138804	−	0.240416i
$349$	27.6016	−	7.39582i	1.47748	−	0.395889i	0.571990	−	0.820261i	$-0.306172\pi$
$349$	27.6016	−	7.39582i	1.47748	−	0.395889i	0.905488	+	0.424372i	$0.139505\pi$
$350$	−1.51223	+	3.27605i	−0.0808322	+	0.175112i
$351$	−17.7598	+	5.83225i	−0.947947	+	0.311303i
$352$	−6.25651	+	10.8366i	−0.333473	+	0.577593i
$353$	−14.2152	+	14.2152i	−0.756599	+	0.756599i	−0.975702	−	0.219103i	$-0.929687\pi$
$353$	−14.2152	+	14.2152i	−0.756599	+	0.756599i	0.219103	+	0.975702i	$0.429687\pi$
$354$	−0.160059			−0.00850706
$355$	3.92559			0.208348
$356$	−16.4279	+	16.4279i	−0.870678	+	0.870678i
$357$	−4.40649	−	11.9624i	−0.233216	−	0.633120i
$358$	−5.96438	−	1.59815i	−0.315227	−	0.0844649i
$359$	7.98274	+	29.7920i	0.421313	+	1.57236i	0.771845	+	0.635811i	$0.219334\pi$
$359$	7.98274	+	29.7920i	0.421313	+	1.57236i	−0.350532	+	0.936551i	$0.613999\pi$
$360$	0.941889	+	0.543800i	0.0496419	+	0.0286608i
$361$			9.49750i			0.499868i
$362$	−1.47322	+	5.49814i	−0.0774309	+	0.288976i
$363$	−3.89754			−0.204568
$364$	−14.3308	+	11.3592i	−0.751137	+	0.595383i
$365$	−6.39436			−0.334696
$366$	−0.678643	+	2.53273i	−0.0354733	+	0.132388i
$367$		−	5.30610i		−	0.276976i	−0.990364	−	0.138488i	$-0.955776\pi$
$367$		−	5.30610i		−	0.276976i	0.990364	−	0.138488i	$-0.0442243\pi$
$368$	−26.3712	−	15.2254i	−1.37469	−	0.793679i
$369$	−3.33766	−	12.4563i	−0.173752	−	0.648451i
$370$	0.0263544	+	0.00706165i	0.00137010	+	0.000367118i
$371$	0.460603	−	2.67267i	0.0239133	−	0.138758i
$372$	1.51061	−	1.51061i	0.0783216	−	0.0783216i
$373$	−24.5661			−1.27199			−0.635993	−	0.771695i	$-0.719409\pi$
$373$	−24.5661			−1.27199			−0.635993	+	0.771695i	$0.719409\pi$
$374$	−4.98676			−0.257859
$375$	3.79263	−	3.79263i	0.195851	−	0.195851i
$376$	5.27788	−	9.14155i	0.272186	−	0.471439i
$377$	−8.94417	−	1.87179i	−0.460648	−	0.0964022i
$378$	2.27967	+	3.22903i	0.117254	+	0.166083i
$379$	21.0045	−	5.62815i	1.07893	−	0.289099i	0.324773	−	0.945792i	$-0.394712\pi$
$379$	21.0045	−	5.62815i	1.07893	−	0.289099i	0.754158	+	0.656693i	$0.228045\pi$
$380$	−1.52754	−	2.64578i	−0.0783612	−	0.135726i
$381$	−1.85035	+	3.20490i	−0.0947963	+	0.164192i
$382$	−0.320609	+	1.19653i	−0.0164038	+	0.0612198i
$383$	−8.30305	+	8.30305i	−0.424266	+	0.424266i	−0.886670	−	0.462403i	$-0.846987\pi$
$383$	−8.30305	+	8.30305i	−0.424266	+	0.424266i	0.462403	+	0.886670i	$0.346987\pi$
$384$	2.28645	−	8.53317i	0.116680	−	0.435456i
$385$	1.81008	+	4.91387i	0.0922501	+	0.250434i
$386$	1.95282	+	3.38239i	0.0993961	+	0.172159i
$387$	8.55929	−	4.94171i	0.435093	−	0.251201i
$388$	18.5176	+	18.5176i	0.940087	+	0.940087i
$389$	30.3210	−	17.5058i	1.53733	−	0.887580i	0.538341	−	0.842727i	$-0.319051\pi$
$389$	30.3210	−	17.5058i	1.53733	−	0.887580i	0.998994	−	0.0448528i	$-0.0142819\pi$
$390$	−0.543988	+	0.178644i	−0.0275459	+	0.00904599i
$391$		−	39.2306i		−	1.98398i
$392$	6.50703	+	4.48159i	0.328655	+	0.226354i
$393$	9.24095	−	16.0058i	0.466144	−	0.807385i
$394$		−	1.10352i		−	0.0555947i
$395$	3.77334	+	1.01106i	0.189857	+	0.0508721i
$396$	−13.2119	+	3.54012i	−0.663924	+	0.177898i
$397$	5.66198	+	5.66198i	0.284167	+	0.284167i	0.834768	−	0.550601i	$-0.185602\pi$
$397$	5.66198	+	5.66198i	0.284167	+	0.284167i	−0.550601	+	0.834768i	$0.685602\pi$
$398$	2.14116	+	2.14116i	0.107326	+	0.107326i
$399$	−0.791220	−	8.65752i	−0.0396106	−	0.433418i
$400$	14.3808	+	8.30277i	0.719041	+	0.415139i
$401$	−26.3860	−	7.07012i	−1.31766	−	0.353065i	−0.469557	−	0.882902i	$-0.655586\pi$
$401$	−26.3860	−	7.07012i	−1.31766	−	0.353065i	−0.848099	+	0.529837i	$0.822253\pi$
$402$	1.08735	+	1.88334i	0.0542319	+	0.0939323i
$403$	−0.209111	−	3.76379i	−0.0104166	−	0.187488i
$404$	1.84543	+	1.06546i	0.0918138	+	0.0530087i
$405$	0.00869768	+	0.0324602i	0.000432191	+	0.00161296i
$406$	0.175857	+	1.92422i	0.00872761	+	0.0954974i
$407$	−0.607197	+	0.350565i	−0.0300976	+	0.0173769i
$408$	5.25326	−	1.40761i	0.260075	−	0.0696870i
$409$	−1.48087	−	5.52667i	−0.0732242	−	0.273276i	0.919601	−	0.392855i	$-0.128512\pi$
$409$	−1.48087	−	5.52667i	−0.0732242	−	0.273276i	−0.992825	+	0.119578i	$0.961846\pi$
$410$	−0.266793	−	0.995685i	−0.0131760	−	0.0491734i
$411$	−9.72610	+	2.60610i	−0.479753	+	0.128549i
$412$	−0.711163	+	0.410590i	−0.0350365	+	0.0202283i
$413$	−1.25175	−	0.577813i	−0.0615947	−	0.0284323i
$414$	1.20637	+	4.50225i	0.0592900	+	0.221273i
$415$	−4.07033	−	2.35001i	−0.199805	−	0.115357i
$416$	−6.44944	−	9.86329i	−0.316210	−	0.483588i
$417$	8.09428	+	14.0197i	0.396379	+	0.686548i
$418$	−3.28483	−	0.880167i	−0.160666	−	0.0430504i
$419$	13.3221	+	7.69152i	0.650828	+	0.375755i	0.788773	−	0.614684i	$-0.210717\pi$
$419$	13.3221	+	7.69152i	0.650828	+	0.375755i	−0.137946	+	0.990440i	$0.544050\pi$
$420$	−1.61201	−	2.28332i	−0.0786580	−	0.111415i
$421$	4.76255	+	4.76255i	0.232112	+	0.232112i	0.813574	−	0.581462i	$-0.197519\pi$
$421$	4.76255	+	4.76255i	0.232112	+	0.232112i	−0.581462	+	0.813574i	$0.697519\pi$
$422$	1.58005	+	1.58005i	0.0769156	+	0.0769156i
$423$	16.8361	−	4.51123i	0.818601	−	0.219343i
$424$	1.11759	+	0.299456i	0.0542748	+	0.0145429i
$425$			21.3934i			1.03773i
$426$	−1.16614	+	2.01982i	−0.0564997	+	0.0978604i
$427$	−14.4505	+	17.3575i	−0.699309	+	0.839987i
$428$		−	9.61614i		−	0.464814i
$429$	6.63859	−	13.1308i	0.320514	−	0.633961i
$430$	0.684178	−	0.395010i	0.0329940	−	0.0190491i
$431$	11.9340	+	11.9340i	0.574839	+	0.574839i	0.933477	−	0.358638i	$-0.116759\pi$
$431$	11.9340	+	11.9340i	0.574839	+	0.574839i	−0.358638	+	0.933477i	$0.616759\pi$
$432$	15.7536	−	9.09533i	0.757944	−	0.437599i
$433$	4.63490	+	8.02787i	0.222739	+	0.385795i	0.955639	−	0.294542i	$-0.0951669\pi$
$433$	4.63490	+	8.02787i	0.222739	+	0.385795i	−0.732900	+	0.680337i	$0.761834\pi$
$434$	−0.747958	+	0.275518i	−0.0359031	+	0.0132253i
$435$	0.361488	−	1.34909i	0.0173320	−	0.0646841i
$436$	1.15107	−	1.15107i	0.0551264	−	0.0551264i
$437$	6.92422	−	25.8416i	0.331231	−	1.23617i
$438$	1.89952	−	3.29007i	0.0907626	−	0.157205i
$439$	−8.70664	−	15.0803i	−0.415545	−	0.719745i	0.579940	−	0.814659i	$-0.303076\pi$
$439$	−8.70664	−	15.0803i	−0.415545	−	0.719745i	−0.995486	+	0.0949136i	$0.969743\pi$
$440$	−2.15791	+	0.578210i	−0.102874	+	0.0275651i
$441$	2.36491	+	12.8303i	0.112615	+	0.610967i
$442$	2.11902	−	4.19131i	0.100791	−	0.199360i
$443$	−5.09769	+	8.82945i	−0.242198	+	0.419500i	−0.961340	−	0.275363i	$-0.911202\pi$
$443$	−5.09769	+	8.82945i	−0.242198	+	0.419500i	0.719142	+	0.694863i	$0.244535\pi$
$444$	0.264615	−	0.264615i	0.0125581	−	0.0125581i
$445$	−6.26577			−0.297026
$446$	6.76337			0.320255
$447$	−10.8277	+	10.8277i	−0.512133	+	0.512133i
$448$	10.2846	−	12.3535i	0.485901	−	0.583648i
$449$	−17.5974	−	4.71520i	−0.830471	−	0.222524i	−0.181552	−	0.983381i	$-0.558112\pi$
$449$	−17.5974	−	4.71520i	−0.830471	−	0.222524i	−0.648919	+	0.760857i	$0.724779\pi$
$450$	−0.657863	−	2.45518i	−0.0310120	−	0.115738i
$451$	22.9402	+	13.2445i	1.08021	+	0.623661i
$452$			9.38885i			0.441615i
$453$	−1.36944	+	5.11083i	−0.0643420	+	0.240128i
$454$	1.77575			0.0833399
$455$	−4.89920	−	0.566698i	−0.229678	−	0.0265672i
$456$	3.70882			0.173681
$457$	8.73128	−	32.5856i	0.408432	−	1.52429i	−0.389204	−	0.921151i	$-0.627250\pi$
$457$	8.73128	−	32.5856i	0.408432	−	1.52429i	0.797637	−	0.603138i	$-0.206083\pi$
$458$			3.28173i			0.153345i
$459$	20.2957	+	11.7178i	0.947324	+	0.546938i
$460$	−2.22616	−	8.30814i	−0.103795	−	0.387369i
$461$	10.9633	+	2.93760i	0.510611	+	0.136818i	0.504920	−	0.863166i	$-0.331522\pi$
$461$	10.9633	+	2.93760i	0.510611	+	0.136818i	0.00569051	+	0.999984i	$0.498189\pi$
$462$	−3.06602	−	0.528391i	−0.142644	−	0.0245830i
$463$	−4.05208	+	4.05208i	−0.188316	+	0.188316i	−0.794968	−	0.606652i	$-0.792512\pi$
$463$	−4.05208	+	4.05208i	−0.188316	+	0.188316i	0.606652	+	0.794968i	$0.292512\pi$
$464$	8.89241			0.412820
$465$	0.576162			0.0267189
$466$	−3.03692	+	3.03692i	−0.140683	+	0.140683i
$467$	18.1856	−	31.4984i	0.841529	−	1.45757i	−0.0470722	−	0.998891i	$-0.514989\pi$
$467$	18.1856	−	31.4984i	0.841529	−	1.45757i	0.888602	−	0.458680i	$-0.151678\pi$
$468$	2.63870	−	12.6087i	0.121974	−	0.582839i
$469$	1.70482	+	18.6541i	0.0787211	+	0.861364i
$470$	1.34578	−	0.360600i	0.0620762	−	0.0166333i
$471$	−1.86105	−	3.22344i	−0.0857528	−	0.148528i
$472$	0.294082	−	0.509365i	0.0135362	−	0.0234454i
$473$	−5.25440	+	19.6097i	−0.241598	+	0.901655i
$474$	−1.64113	+	1.64113i	−0.0753797	+	0.0753797i
$475$	−3.77594	+	14.0920i	−0.173252	+	0.646585i
$476$	22.5931	+	3.89365i	1.03555	+	0.178465i
$477$	0.955249	+	1.65454i	0.0437379	+	0.0757562i
$478$	7.22149	−	4.16933i	0.330303	−	0.190701i
$479$	−17.1877	−	17.1877i	−0.785327	−	0.785327i	0.195397	−	0.980724i	$-0.437400\pi$
$479$	−17.1877	−	17.1877i	−0.785327	−	0.785327i	−0.980724	+	0.195397i	$0.937400\pi$
$480$	1.55991	−	0.900617i	0.0712000	−	0.0411073i
$481$	−0.0366301	−	0.659306i	−0.00167019	−	0.0300618i
$482$		−	5.30005i		−	0.241411i
$483$	4.15683	−	24.1202i	0.189142	−	1.09751i
$484$	3.50464	−	6.07021i	0.159302	−	0.275919i
$485$			7.06278i			0.320704i
$486$	−4.34847	−	1.16517i	−0.197250	−	0.0528531i
$487$	−25.7327	+	6.89506i	−1.16606	+	0.312445i	−0.789384	−	0.613899i	$-0.789600\pi$
$487$	−25.7327	+	6.89506i	−1.16606	+	0.312445i	−0.376677	+	0.926345i	$0.622933\pi$
$488$	−6.81315	−	6.81315i	−0.308417	−	0.308417i
$489$	−1.73047	−	1.73047i	−0.0782544	−	0.0782544i
$490$	0.189036	+	1.02558i	0.00853979	+	0.0463309i
$491$	−15.2520	−	8.80574i	−0.688313	−	0.397398i	0.114667	−	0.993404i	$-0.463420\pi$
$491$	−15.2520	−	8.80574i	−0.688313	−	0.397398i	−0.802980	+	0.596006i	$0.796753\pi$
$492$	−13.6566	−	3.65927i	−0.615686	−	0.164972i
$493$	5.72816	+	9.92147i	0.257983	+	0.446840i
$494$	2.13558	−	2.38684i	0.0960845	−	0.107389i
$495$	−3.19469	−	1.84446i	−0.143591	−	0.0829022i
$496$	0.949428	+	3.54331i	0.0426306	+	0.159099i
$497$	−16.4114	+	11.5863i	−0.736152	+	0.519718i
$498$	2.41828	−	1.39620i	0.108366	−	0.0625650i
$499$	14.6796	−	3.93339i	0.657149	−	0.176083i	0.0851901	−	0.996365i	$-0.472850\pi$
$499$	14.6796	−	3.93339i	0.657149	−	0.176083i	0.571959	+	0.820282i	$0.306184\pi$
$500$	2.49651	+	9.31712i	0.111648	+	0.416674i
$501$	−5.78508	−	21.5902i	−0.258459	−	0.964580i
$502$	−1.91147	+	0.512177i	−0.0853132	+	0.0228596i
$503$	−3.91743	+	2.26173i	−0.174669	+	0.100845i	−0.584786	−	0.811188i	$-0.698821\pi$
$503$	−3.91743	+	2.26173i	−0.174669	+	0.100845i	0.410116	+	0.912033i	$0.365488\pi$
$504$	−5.54271	+	0.506554i	−0.246892	+	0.0225637i
$505$	0.148744	+	0.555122i	0.00661904	+	0.0247026i
$506$	−8.29156	−	4.78713i	−0.368605	−	0.212814i
$507$	8.21533	+	11.1593i	0.364856	+	0.495602i
$508$	−3.32764	−	5.76364i	−0.147640	−	0.255720i
$509$	−37.1230	−	9.94708i	−1.64545	−	0.440897i	−0.687115	−	0.726548i	$-0.741123\pi$
$509$	−37.1230	−	9.94708i	−1.64545	−	0.440897i	−0.958334	+	0.285652i	$0.907790\pi$
$510$	0.621666	+	0.358919i	0.0275278	+	0.0158932i
$511$	26.7324	−	18.8729i	1.18257	−	0.834888i
$512$	13.7099	+	13.7099i	0.605896	+	0.605896i
$513$	11.3008	+	11.3008i	0.498943	+	0.498943i
$514$	2.31850	−	0.621239i	0.102265	−	0.0274017i
$515$	−0.213924	−	0.0573207i	−0.00942660	−	0.00252585i
$516$		−	10.8357i		−	0.477017i
$517$	−17.9015	+	31.0063i	−0.787306	+	1.36365i
$518$	−0.131020	+	0.0482628i	−0.00575671	+	0.00212054i
$519$			21.4121i			0.939885i
$520$	0.430979	−	2.05939i	0.0188997	−	0.0903103i
$521$	31.7542	−	18.3333i	1.39117	−	0.803195i	0.397729	−	0.917503i	$-0.369798\pi$
$521$	31.7542	−	18.3333i	1.39117	−	0.803195i	0.993445	+	0.114308i	$0.0364649\pi$
$522$	−0.962478	−	0.962478i	−0.0421265	−	0.0421265i
$523$	9.11850	−	5.26457i	0.398724	−	0.230203i	−0.287209	−	0.957868i	$-0.592728\pi$
$523$	9.11850	−	5.26457i	0.398724	−	0.230203i	0.685933	+	0.727664i	$0.259394\pi$
$524$	16.6188	+	28.7845i	0.725994	+	1.25746i
$525$	−2.26681	+	13.1533i	−0.0989319	+	0.574058i
$526$	−0.201648	+	0.752560i	−0.00879226	+	0.0328132i
$527$	−3.34177	+	3.34177i	−0.145570	+	0.145570i
$528$	−3.70583	+	13.8303i	−0.161275	+	0.601888i
$529$	26.1601	−	45.3107i	1.13740	−	1.97003i
$530$	0.0763569	+	0.132254i	0.00331673	+	0.00574475i
$531$	0.938106	−	0.251365i	0.0407103	−	0.0109083i
$532$	14.1951	+	6.55248i	0.615434	+	0.284086i
$533$	−20.8798	+	13.6530i	−0.904404	+	0.591375i
$534$	1.86132	−	3.22390i	0.0805472	−	0.139512i
$535$	1.83384	−	1.83384i	0.0792839	−	0.0792839i
$536$	−7.99126			−0.345170
$537$	−22.8411			−0.985668
$538$	−4.76052	+	4.76052i	−0.205241	+	0.205241i
$539$	−22.0705	−	15.2006i	−0.950644	−	0.654737i
$540$	4.96310	+	1.32986i	0.213578	+	0.0572280i
$541$	3.17473	+	11.8482i	0.136492	+	0.509396i	0.999987	+	0.00503858i	$0.00160384\pi$
$541$	3.17473	+	11.8482i	0.136492	+	0.509396i	−0.863495	+	0.504357i	$0.831729\pi$
$542$	−3.31715	−	1.91516i	−0.142484	−	0.0822632i
$543$			21.0556i			0.903584i
$544$	−3.82396	+	14.2712i	−0.163951	+	0.611873i
$545$	0.439030			0.0188060
$546$	1.74694	−	2.35242i	0.0747623	−	0.100674i
$547$	−46.5673			−1.99108			−0.995538	−	0.0943609i	$-0.969919\pi$
$547$	−46.5673			−1.99108			−0.995538	+	0.0943609i	$0.969919\pi$
$548$	4.68677	−	17.4912i	0.200209	−	0.747189i
$549$		−	15.9101i		−	0.679026i
$550$	4.52158	+	2.61054i	0.192801	+	0.111314i
$551$	2.02205	+	7.54639i	0.0861421	+	0.321487i
$552$	10.0859	+	2.70252i	0.429286	+	0.115027i
$553$	−18.7591	+	6.91010i	−0.797716	+	0.293847i
$554$	0.986426	−	0.986426i	0.0419092	−	0.0419092i
$555$	0.100927			0.00428410
$556$	−29.1132			−1.23468
$557$	−13.2888	+	13.2888i	−0.563066	+	0.563066i	−0.930177	−	0.367111i	$-0.880347\pi$
$557$	−13.2888	+	13.2888i	−0.563066	+	0.563066i	0.367111	+	0.930177i	$0.380347\pi$
$558$	0.280752	−	0.486276i	0.0118852	−	0.0205857i
$559$	−14.2489	−	12.7490i	−0.602666	−	0.539224i
$560$	4.77943	−	0.436798i	0.201968	−	0.0184581i
$561$	−17.8180	+	4.77432i	−0.752276	+	0.201572i
$562$	−1.75404	−	3.03809i	−0.0739899	−	0.128154i
$563$	−9.35345	+	16.2007i	−0.394201	+	0.682776i	−0.992999	−	0.118124i	$-0.962312\pi$
$563$	−9.35345	+	16.2007i	−0.394201	+	0.682776i	0.598798	+	0.800900i	$0.295645\pi$
$564$	4.94591	−	18.4584i	0.208260	−	0.777238i
$565$	−1.79050	+	1.79050i	−0.0753269	+	0.0753269i
$566$	−0.0787383	+	0.293855i	−0.00330962	+	0.0123517i
$567$	−0.132168	−	0.110033i	−0.00555052	−	0.00462094i
$568$	−4.28518	−	7.42215i	−0.179802	−	0.311426i
$569$	5.84529	−	3.37478i	0.245047	−	0.141478i	−0.372447	−	0.928053i	$-0.621481\pi$
$569$	5.84529	−	3.37478i	0.245047	−	0.141478i	0.617494	+	0.786575i	$0.288148\pi$
$570$	0.346148	+	0.346148i	0.0144985	+	0.0144985i
$571$	−5.33385	+	3.07950i	−0.223215	+	0.128873i	−0.607438	−	0.794367i	$-0.707803\pi$
$571$	−5.33385	+	3.07950i	−0.223215	+	0.128873i	0.384223	+	0.923240i	$0.374469\pi$
$572$	14.4811	+	22.1463i	0.605486	+	0.925985i
$573$			4.58222i			0.191425i
$574$	4.05411	+	3.37515i	0.169215	+	0.140876i
$575$	−20.5369	+	35.5710i	−0.856450	+	1.48341i
$576$			11.3234i			0.471807i
$577$	−19.5588	−	5.24075i	−0.814242	−	0.218175i	−0.172414	−	0.985025i	$-0.555157\pi$
$577$	−19.5588	−	5.24075i	−0.814242	−	0.218175i	−0.641827	+	0.766849i	$0.721823\pi$
$578$	−0.955626	+	0.256059i	−0.0397488	+	0.0106507i
$579$	10.2158	+	10.2158i	0.424556	+	0.424556i
$580$	1.77609	+	1.77609i	0.0737482	+	0.0737482i
$581$	23.9526	−	2.18905i	0.993720	−	0.0908172i
$582$	−3.63398	−	2.09808i	−0.150633	−	0.0869682i
$583$	−3.79062	−	1.01569i	−0.156992	−	0.0420658i
$584$	6.98010	+	12.0899i	0.288839	+	0.500283i
$585$	2.90776	−	1.90134i	0.120221	−	0.0786105i
$586$	−5.12222	−	2.95731i	−0.211597	−	0.122165i
$587$	−3.35452	−	12.5192i	−0.138456	−	0.516725i	−0.999960	−	0.00897355i	$-0.997144\pi$
$587$	−3.35452	−	12.5192i	−0.138456	−	0.516725i	0.861504	−	0.507751i	$-0.169523\pi$
$588$	13.4784	+	4.78788i	0.555840	+	0.197449i
$589$	−2.79108	+	1.61143i	−0.115004	+	0.0663979i
$590$	0.0749865	−	0.0200926i	0.00308715	−	0.000827199i
$591$	−1.05651	−	3.94296i	−0.0434591	−	0.162192i
$592$	0.166312	+	0.620685i	0.00683538	+	0.0255100i
$593$	−2.52797	+	0.677366i	−0.103811	+	0.0278161i	−0.310351	−	0.950622i	$-0.600446\pi$
$593$	−2.52797	+	0.677366i	−0.103811	+	0.0278161i	0.206540	+	0.978438i	$0.433780\pi$
$594$	4.95320	−	2.85973i	0.203232	−	0.117336i
$595$	3.56608	+	5.05116i	0.146195	+	0.207077i
$596$	−7.12739	−	26.5998i	−0.291949	−	1.08957i
$597$	9.70041	+	5.60053i	0.397011	+	0.229215i
$598$	7.54684	−	4.93475i	0.308613	−	0.201797i
$599$	−11.8359	−	20.5003i	−0.483600	−	0.837620i	0.516222	−	0.856455i	$-0.327338\pi$
$599$	−11.8359	−	20.5003i	−0.483600	−	0.837620i	−0.999823	+	0.0188345i	$0.994004\pi$
$600$	−5.50010	−	1.47375i	−0.224540	−	0.0601654i
$601$	39.8779	+	23.0235i	1.62665	+	0.939149i	0.985082	+	0.172087i	$0.0550511\pi$
$601$	39.8779	+	23.0235i	1.62665	+	0.939149i	0.641573	+	0.767062i	$0.278282\pi$
$602$	−1.69442	+	3.67073i	−0.0690595	+	0.149608i
$603$	−9.33060	−	9.33060i	−0.379971	−	0.379971i
$604$	−6.72844	−	6.72844i	−0.273776	−	0.273776i
$605$	1.82597	−	0.489267i	0.0742362	−	0.0198915i
$606$	−0.329811	−	0.0883725i	−0.0133976	−	0.00358989i
$607$			8.41264i			0.341458i	0.985318	+	0.170729i	$0.0546123\pi$
$607$			8.41264i			0.341458i	−0.985318	+	0.170729i	$0.945388\pi$
$608$	−5.03775	+	8.72564i	−0.204308	+	0.353872i
$609$	2.47059	+	6.70698i	0.100113	+	0.271781i
$610$		−	1.27176i		−	0.0514919i
$611$	−18.4535	−	28.2214i	−0.746548	−	1.14171i
$612$	−13.9865	+	8.07508i	−0.565369	+	0.326416i
$613$	−14.9915	−	14.9915i	−0.605502	−	0.605502i	0.336265	−	0.941767i	$-0.390836\pi$
$613$	−14.9915	−	14.9915i	−0.605502	−	0.605502i	−0.941767	+	0.336265i	$0.890836\pi$
$614$	−2.55491	+	1.47508i	−0.103108	+	0.0595293i
$615$	−1.90653	−	3.30221i	−0.0768788	−	0.133158i
$616$	7.31483	−	8.78633i	0.294723	−	0.354011i
$617$	7.51730	−	28.0549i	0.302635	−	1.12945i	−0.632327	−	0.774702i	$-0.717900\pi$
$617$	7.51730	−	28.0549i	0.302635	−	1.12945i	0.934962	−	0.354748i	$-0.115433\pi$
$618$	0.0930415	−	0.0930415i	0.00374268	−	0.00374268i
$619$	6.66289	−	24.8662i	0.267804	−	0.999458i	−0.692708	−	0.721218i	$-0.743582\pi$
$619$	6.66289	−	24.8662i	0.267804	−	0.999458i	0.960512	−	0.278240i	$-0.0897509\pi$
$620$	−0.518080	+	0.897341i	−0.0208066	+	0.0360381i
$621$	22.4973	+	38.9665i	0.902787	+	1.56367i
$622$	−2.70664	+	0.725241i	−0.108526	+	0.0290795i
$623$	26.1948	−	18.4933i	1.04947	−	0.740920i
$624$	−10.0495	−	8.99160i	−0.402302	−	0.359952i
$625$	10.5311	−	18.2403i	0.421242	−	0.729613i
$626$	3.39914	−	3.39914i	0.135857	−	0.135857i
$627$	−12.5795			−0.502379
$628$	6.69377			0.267111
$629$	−0.585381	+	0.585381i	−0.0233407	+	0.0233407i
$630$	−0.564583	−	0.470029i	−0.0224935	−	0.0187264i
$631$	4.24248	+	1.13677i	0.168891	+	0.0452541i	0.342273	−	0.939600i	$-0.388803\pi$
$631$	4.24248	+	1.13677i	0.168891	+	0.0452541i	−0.173383	+	0.984855i	$0.555470\pi$
$632$	−2.20736	−	8.23797i	−0.0878040	−	0.327689i
$633$	7.15834	+	4.13287i	0.284519	+	0.164267i
$634$			3.07098i			0.121964i
$635$	0.464557	−	1.73375i	0.0184354	−	0.0688018i
$636$	2.09458			0.0830557
$637$	22.1543	−	12.0908i	0.877785	−	0.479054i
$638$	2.79593			0.110692
$639$	3.66273	−	13.6695i	0.144895	−	0.540756i
$640$			4.28475i			0.169369i
$641$	−17.4189	−	10.0568i	−0.688005	−	0.397220i	0.114859	−	0.993382i	$-0.463358\pi$
$641$	−17.4189	−	10.0568i	−0.688005	−	0.397220i	−0.802864	+	0.596162i	$0.796692\pi$
$642$	0.398795	+	1.48832i	0.0157392	+	0.0587395i
$643$	−3.80955	−	1.02077i	−0.150234	−	0.0402551i	0.182918	−	0.983128i	$-0.441446\pi$
$643$	−3.80955	−	1.02077i	−0.150234	−	0.0402551i	−0.333152	+	0.942873i	$0.608112\pi$
$644$	33.8281	+	28.1627i	1.33302	+	1.10977i
$645$	2.06643	−	2.06643i	0.0813654	−	0.0813654i
$646$	−4.01535			−0.157982
$647$	−7.52305			−0.295762			−0.147881	−	0.989005i	$-0.547245\pi$
$647$	−7.52305			−0.295762			−0.147881	+	0.989005i	$0.547245\pi$
$648$	0.0518784	−	0.0518784i	0.00203798	−	0.00203798i
$649$	−0.997466	+	1.72766i	−0.0391540	+	0.0678167i
$650$	−4.11547	+	2.69104i	−0.161422	+	0.105551i
$651$	−2.40872	+	1.70054i	−0.0944051	+	0.0666493i
$652$	4.25113	−	1.13909i	0.166487	−	0.0446100i
$653$	5.29139	+	9.16495i	0.207068	+	0.358652i	0.950790	−	0.309837i	$-0.100275\pi$
$653$	5.29139	+	9.16495i	0.207068	+	0.358652i	−0.743722	+	0.668489i	$0.766941\pi$
$654$	−0.130419	+	0.225893i	−0.00509979	+	0.00883310i
$655$	−2.32007	+	8.65863i	−0.0906527	+	0.338320i
$656$	17.1664	−	17.1664i	0.670237	−	0.670237i
$657$	−5.96619	+	22.2661i	−0.232763	+	0.868685i
$658$	−4.56189	+	5.47959i	−0.177841	+	0.213617i
$659$	2.76883	+	4.79576i	0.107858	+	0.186816i	0.914902	−	0.403675i	$-0.132267\pi$
$659$	2.76883	+	4.79576i	0.107858	+	0.186816i	−0.807044	+	0.590491i	$0.798934\pi$
$660$	−3.50252	+	2.02218i	−0.136335	+	0.0787133i
$661$	−9.40996	−	9.40996i	−0.366005	−	0.366005i	0.500013	−	0.866018i	$-0.333329\pi$
$661$	−9.40996	−	9.40996i	−0.366005	−	0.366005i	−0.866018	+	0.500013i	$0.833329\pi$
$662$	8.55659	−	4.94015i	0.332561	−	0.192004i
$663$	3.55862	−	17.0045i	0.138205	−	0.660401i
$664$			10.2611i			0.398208i
$665$	1.45748	+	3.95666i	0.0565185	+	0.153433i
$666$	0.0491795	−	0.0851813i	0.00190567	−	0.00330071i
$667$			21.9954i			0.851666i
$668$	38.8275	+	10.4038i	1.50228	+	0.402535i
$669$	24.1659	−	6.47524i	0.934308	−	0.250347i
$670$	−0.745832	−	0.745832i	−0.0288140	−	0.0288140i
$671$	23.1088	+	23.1088i	0.892106	+	0.892106i
$672$	−3.86325	+	8.36921i	−0.149028	+	0.322849i
$673$	12.8942	+	7.44448i	0.497035	+	0.286963i	0.727488	−	0.686120i	$-0.240687\pi$
$673$	12.8942	+	7.44448i	0.497035	+	0.286963i	−0.230453	+	0.973083i	$0.574021\pi$
$674$	9.13073	+	2.44657i	0.351703	+	0.0942384i
$675$	−12.2683	−	21.2494i	−0.472208	−	0.817889i
$676$	−24.7671	+	2.76058i	−0.952583	+	0.106176i
$677$	10.7184	+	6.18827i	0.411942	+	0.237835i	0.691624	−	0.722258i	$-0.256896\pi$
$677$	10.7184	+	6.18827i	0.411942	+	0.237835i	−0.279682	+	0.960093i	$0.590229\pi$
$678$	−0.389370	−	1.45315i	−0.0149536	−	0.0558078i
$679$	−20.8457	−	29.5268i	−0.799985	−	1.13313i
$680$	−2.28441	+	1.31891i	−0.0876033	+	0.0505778i
$681$	6.34484	−	1.70010i	0.243135	−	0.0651478i
$682$	0.298517	+	1.11408i	0.0114308	+	0.0426603i
$683$	7.35708	+	27.4570i	0.281511	+	1.05061i	0.951351	+	0.308108i	$0.0996957\pi$
$683$	7.35708	+	27.4570i	0.281511	+	1.05061i	−0.669841	+	0.742505i	$0.733638\pi$
$684$	−10.6383	+	2.85051i	−0.406764	+	0.108992i
$685$	4.22945	−	2.44188i	0.161599	−	0.0932993i
$686$	−3.81727	−	3.72962i	−0.145744	−	0.142397i
$687$	3.14192	+	11.7258i	0.119872	+	0.447367i
$688$	16.1134	+	9.30306i	0.614317	+	0.354676i
$689$	2.46442	−	2.75437i	0.0938870	−	0.104933i
$690$	0.689102	+	1.19356i	0.0262336	+	0.0454380i
$691$	−11.3072	−	3.02975i	−0.430145	−	0.115257i	0.0372491	−	0.999306i	$-0.488141\pi$
$691$	−11.3072	−	3.02975i	−0.430145	−	0.115257i	−0.467394	+	0.884049i	$0.654807\pi$
$692$	−33.3481	−	19.2535i	−1.26770	−	0.731909i
$693$	18.7997	−	1.71813i	0.714142	−	0.0652663i
$694$	1.84719	+	1.84719i	0.0701186	+	0.0701186i
$695$	−5.55203	−	5.55203i	−0.210601	−	0.210601i
$696$	−2.94535	+	0.789203i	−0.111643	+	0.0299147i
$697$	30.2110	+	8.09501i	1.14432	+	0.306621i
$698$		−	8.23427i		−	0.311672i
$699$	−7.94355	+	13.7586i	−0.300453	+	0.520399i
$700$	−18.4473	−	15.3578i	−0.697241	−	0.580470i
$701$			0.431477i			0.0162966i	0.999967	+	0.00814832i	$0.00259372\pi$
$701$			0.431477i			0.0162966i	−0.999967	+	0.00814832i	$0.997406\pi$
$702$	0.298810	+	5.37828i	0.0112779	+	0.202990i
$703$	−0.488916	+	0.282276i	−0.0184398	+	0.0106462i
$704$	−16.4468	−	16.4468i	−0.619862	−	0.619862i
$705$	4.46331	−	2.57689i	0.168098	−	0.0970514i
$706$	2.89650	+	5.01689i	0.109011	+	0.188813i
$707$	−2.26028	−	1.88174i	−0.0850066	−	0.0707700i
$708$	0.275585	−	1.02850i	0.0103571	−	0.0386533i
$709$	−3.00200	+	3.00200i	−0.112743	+	0.112743i	−0.761227	−	0.648485i	$-0.775403\pi$
$709$	−3.00200	+	3.00200i	−0.112743	+	0.112743i	0.648485	+	0.761227i	$0.275403\pi$
$710$	0.292776	−	1.09266i	0.0109877	−	0.0410067i
$711$	7.04135	−	12.1960i	0.264071	−	0.457385i
$712$	6.83973	+	11.8468i	0.256330	+	0.443976i
$713$	−8.76441	+	2.34842i	−0.328230	+	0.0879488i
$714$	−3.65830	+	0.334336i	−0.136908	+	0.0125122i
$715$	−1.46179	+	6.98503i	−0.0546680	+	0.261225i
$716$	20.5385	−	35.5738i	0.767562	−	1.32946i
$717$	21.8111	−	21.8111i	0.814550	−	0.814550i
$718$	8.88774			0.331688
$719$	11.7915			0.439748			0.219874	−	0.975528i	$-0.429435\pi$
$719$	11.7915			0.439748			0.219874	+	0.975528i	$0.429435\pi$
$720$	−2.39063	+	2.39063i	−0.0890935	+	0.0890935i
$721$	1.06352	−	0.391758i	0.0396074	−	0.0145898i
$722$	2.64356	+	0.708339i	0.0983830	+	0.0263616i
$723$	−5.07425	−	18.9374i	−0.188714	−	0.704289i
$724$	−32.7930	−	18.9330i	−1.21874	−	0.703641i
$725$		−	11.9946i		−	0.445469i
$726$	−0.290685	+	1.08485i	−0.0107883	+	0.0402626i
$727$	9.73102			0.360904			0.180452	−	0.983584i	$-0.442244\pi$
$727$	9.73102			0.360904			0.180452	+	0.983584i	$0.442244\pi$
$728$	4.27651	+	9.88157i	0.158498	+	0.366235i
$729$	−16.4579			−0.609550
$730$	−0.476902	+	1.77982i	−0.0176509	+	0.0658741i
$731$			23.9708i			0.886591i
$732$	−15.1062	−	8.72155i	−0.558340	−	0.322358i
$733$	−3.92510	−	14.6487i	−0.144977	−	0.541061i	−0.999756	−	0.0220699i	$-0.992974\pi$
$733$	−3.92510	−	14.6487i	−0.144977	−	0.541061i	0.854779	−	0.518991i	$-0.173692\pi$
$734$	−1.47691	−	0.395738i	−0.0545139	−	0.0146069i
$735$	1.65732	+	3.48347i	0.0611313	+	0.128490i
$736$	−20.0581	+	20.0581i	−0.739350	+	0.739350i
$737$	27.1047			0.998415
$738$	−3.71605			−0.136790
$739$	1.66045	−	1.66045i	0.0610807	−	0.0610807i	−0.675907	−	0.736987i	$-0.736248\pi$
$739$	1.66045	−	1.66045i	0.0610807	−	0.0610807i	0.736987	+	0.675907i	$0.236248\pi$
$740$	−0.0907525	+	0.157188i	−0.00333613	+	0.00577834i
$741$	5.34541	−	10.5729i	0.196368	−	0.388407i
$742$	−0.709566	−	0.327538i	−0.0260490	−	0.0120243i
$743$	27.0211	−	7.24029i	0.991309	−	0.265620i	0.273509	−	0.961870i	$-0.411816\pi$
$743$	27.0211	−	7.24029i	0.991309	−	0.265620i	0.717800	+	0.696249i	$0.245149\pi$
$744$	−0.628940	−	1.08936i	−0.0230581	−	0.0399377i
$745$	3.71348	−	6.43193i	0.136051	−	0.235648i
$746$	−1.83218	+	6.83779i	−0.0670809	+	0.250349i
$747$	−11.9809	+	11.9809i	−0.438357	+	0.438357i
$748$	8.58605	−	32.0436i	0.313937	−	1.17163i
$749$	−2.25404	+	13.0792i	−0.0823607	+	0.477903i
$750$	−0.772789	−	1.33851i	−0.0282183	−	0.0488755i
$751$	−4.51677	+	2.60776i	−0.164819	+	0.0951584i	−0.580141	−	0.814516i	$-0.697002\pi$
$751$	−4.51677	+	2.60776i	−0.164819	+	0.0951584i	0.415321	+	0.909675i	$0.363669\pi$
$752$	23.2024	+	23.2024i	0.846103	+	0.846103i
$753$	−6.33944	+	3.66008i	−0.231022	+	0.133381i
$754$	−1.18807	+	2.34994i	−0.0432669	+	0.0855798i
$755$		−	2.56629i		−	0.0933969i
$756$	−24.6739	+	9.08891i	−0.897382	+	0.330560i
$757$	10.3674	−	17.9569i	0.376811	−	0.652656i	−0.613785	−	0.789473i	$-0.710354\pi$
$757$	10.3674	−	17.9569i	0.376811	−	0.652656i	0.990596	+	0.136817i	$0.0436872\pi$
$758$		−	6.26621i		−	0.227599i
$759$	−34.2094	−	9.16639i	−1.24172	−	0.332719i
$760$	−1.73755	+	0.465576i	−0.0630276	+	0.0168882i
$761$	−27.8103	−	27.8103i	−1.00812	−	1.00812i	−0.999967	−	0.00815767i	$-0.997403\pi$
$761$	−27.8103	−	27.8103i	−1.00812	−	1.00812i	−0.00815767	−	0.999967i	$-0.502597\pi$
$762$	0.754057	+	0.754057i	0.0273166	+	0.0273166i
$763$	−1.83542	+	1.29579i	−0.0664467	+	0.0469109i
$764$	−7.13656	−	4.12029i	−0.258192	−	0.149067i
$765$	−4.20724	−	1.12733i	−0.152113	−	0.0407586i
$766$	1.69184	+	2.93034i	0.0611285	+	0.105878i
$767$	−1.02823	−	1.57249i	−0.0371271	−	0.0567793i
$768$	9.01232	+	5.20326i	0.325204	+	0.187757i
$769$	2.96518	+	11.0662i	0.106927	+	0.399057i	0.998557	−	0.0537084i	$-0.0171041\pi$
$769$	2.96518	+	11.0662i	0.106927	+	0.399057i	−0.891630	+	0.452765i	$0.850437\pi$
$770$	1.50274	−	0.137337i	0.0541549	−	0.00494927i
$771$	7.68935	−	4.43945i	0.276925	−	0.159883i
$772$	−25.0966	+	6.72462i	−0.903247	+	0.242024i
$773$	12.1267	+	45.2574i	0.436167	+	1.62780i	0.738258	+	0.674518i	$0.235649\pi$
$773$	12.1267	+	45.2574i	0.436167	+	1.62780i	−0.302091	+	0.953279i	$0.597685\pi$
$774$	−0.737121	−	2.75097i	−0.0264953	−	0.0988816i
$775$	4.77944	−	1.28065i	0.171682	−	0.0460022i
$776$	13.3537	−	7.70974i	0.479369	−	0.276764i
$777$	−0.421937	+	0.297884i	−0.0151369	+	0.0106865i
$778$	−2.61122	−	9.74522i	−0.0936169	−	0.349383i
$779$	18.4715	+	10.6645i	0.661810	+	0.382096i
$780$	−0.211295	−	3.80310i	−0.00756559	−	0.136173i
$781$	14.5344	+	25.1744i	0.520083	+	0.900811i
$782$	−10.9195	−	2.92588i	−0.390482	−	0.104629i
$783$	−11.3792	−	6.56979i	−0.406660	−	0.234785i
$784$	−18.6918	+	15.9325i	−0.667564	+	0.569019i
$785$	1.27653	+	1.27653i	0.0455615	+	0.0455615i
$786$	−3.76588	−	3.76588i	−0.134325	−	0.134325i
$787$	−7.83322	+	2.09890i	−0.279224	+	0.0748179i	−0.395713	−	0.918374i	$-0.629503\pi$
$787$	−7.83322	+	2.09890i	−0.279224	+	0.0748179i	0.116489	+	0.993192i	$0.462836\pi$
$788$	7.09094	+	1.90001i	0.252604	+	0.0676852i
$789$			2.88200i			0.102602i
$790$	0.562843	−	0.974873i	0.0200251	−	0.0346844i
$791$	2.20076	−	12.7700i	0.0782501	−	0.454050i
$792$			8.05366i			0.286174i
$793$	−29.2422	+	9.60305i	−1.03842	+	0.341014i
$794$	1.99825	−	1.15369i	0.0709152	−	0.0409429i
$795$	0.399447	+	0.399447i	0.0141669	+	0.0141669i
$796$	−17.4451	+	10.0719i	−0.618323	+	0.356989i
$797$	−5.11594	−	8.86106i	−0.181216	−	0.313875i	0.761079	−	0.648659i	$-0.224670\pi$
$797$	−5.11594	−	8.86106i	−0.181216	−	0.313875i	−0.942295	+	0.334784i	$0.891337\pi$
$798$	−2.46876	−	0.425461i	−0.0873933	−	0.0150612i
$799$	−10.9413	+	40.8335i	−0.387076	+	1.44459i
$800$	10.9381	−	10.9381i	0.386721	−	0.386721i
$801$	−5.84621	+	21.8183i	−0.206566	+	0.770913i
$802$	−3.93583	+	6.81705i	−0.138979	+	0.240718i
$803$	−23.6751	−	41.0064i	−0.835475	−	1.44709i
$804$	−13.9740	+	3.74431i	−0.492824	+	0.132052i
$805$	1.08042	+	11.8219i	0.0380798	+	0.416669i
$806$	−1.06322	−	0.222505i	−0.0374502	−	0.00783740i
$807$	−12.4519	+	21.5673i	−0.438328	+	0.759206i
$808$	0.887205	−	0.887205i	0.0312118	−	0.0312118i
$809$	11.6750			0.410473			0.205236	−	0.978712i	$-0.434204\pi$
$809$	11.6750			0.410473			0.205236	+	0.978712i	$0.434204\pi$
$810$	0.00968373			0.000340252
$811$	−19.1328	+	19.1328i	−0.671843	+	0.671843i	−0.958141	−	0.286298i	$-0.907575\pi$
$811$	−19.1328	+	19.1328i	−0.671843	+	0.671843i	0.286298	+	0.958141i	$0.407575\pi$
$812$	−12.6673	−	2.18305i	−0.444535	−	0.0766101i
$813$	−13.6860	−	3.66714i	−0.479988	−	0.128612i
$814$	0.0522914	+	0.195154i	0.00183281	+	0.00684015i
$815$	1.02794	+	0.593481i	0.0360071	+	0.0207887i
$816$			16.9061i			0.591832i
$817$	−4.23085	+	15.7898i	−0.148019	+	0.552414i
$818$	−1.64875			−0.0576472
$819$	−6.54447	+	16.5310i	−0.228682	+	0.577640i
$820$	6.85735			0.239469
$821$	−7.02461	+	26.2162i	−0.245161	+	0.914952i	0.728142	+	0.685426i	$0.240384\pi$
$821$	−7.02461	+	26.2162i	−0.245161	+	0.914952i	−0.973303	+	0.229526i	$0.926283\pi$
$822$			2.90155i			0.101203i
$823$	24.0565	+	13.8890i	0.838557	+	0.484141i	0.856773	−	0.515693i	$-0.172466\pi$
$823$	24.0565	+	13.8890i	0.838557	+	0.484141i	−0.0182167	+	0.999834i	$0.505799\pi$
$824$	0.125143	+	0.467039i	0.00435956	+	0.0162701i
$825$	18.6552	+	4.99864i	0.649491	+	0.174030i
$826$	−0.254187	+	0.305322i	−0.00884431	+	0.0106235i
$827$	30.1851	−	30.1851i	1.04964	−	1.04964i	0.0509356	−	0.998702i	$-0.483780\pi$
$827$	30.1851	−	30.1851i	1.04964	−	1.04964i	0.998702	−	0.0509356i	$-0.0162203\pi$
$828$	−31.0073			−1.07758
$829$	27.9611			0.971130			0.485565	−	0.874201i	$-0.338614\pi$
$829$	27.9611			0.971130			0.485565	+	0.874201i	$0.338614\pi$
$830$	−0.957679	+	0.957679i	−0.0332415	+	0.0332415i
$831$	2.58015	−	4.46896i	0.0895046	−	0.155026i
$832$	20.8120	−	6.83459i	0.721527	−	0.236947i
$833$	−29.8169	−	10.5917i	−1.03309	−	0.366982i
$834$	4.50596	−	1.20737i	0.156029	−	0.0418078i
$835$	5.42053	+	9.38864i	0.187585	+	0.324907i
$836$	11.3114	−	19.5920i	0.391214	−	0.677602i
$837$	1.40289	−	5.23567i	0.0484911	−	0.180971i
$838$	3.13446	−	3.13446i	0.108278	−	0.108278i
$839$	8.74827	−	32.6490i	0.302024	−	1.12717i	−0.633453	−	0.773781i	$-0.718363\pi$
$839$	8.74827	−	32.6490i	0.302024	−	1.12717i	0.935477	−	0.353387i	$-0.114970\pi$
$840$	−1.54428	+	0.568852i	−0.0532827	+	0.0196273i
$841$	11.2884	+	19.5521i	0.389255	+	0.674209i
$842$	1.68082	−	0.970419i	0.0579247	−	0.0334429i
$843$	−9.17597	−	9.17597i	−0.316037	−	0.316037i
$844$	−12.8734	+	7.43249i	−0.443122	+	0.255837i
$845$	−5.24967	−	4.19676i	−0.180594	−	0.144373i
$846$		−	5.02266i		−	0.172683i
$847$	−6.18962	+	7.43477i	−0.212678	+	0.255462i
$848$	−1.79831	+	3.11477i	−0.0617544	+	0.106962i
$849$			1.12535i			0.0386218i
$850$	5.95468	+	1.59555i	0.204244	+	0.0547269i
$851$	−1.53527	+	0.411374i	−0.0526283	+	0.0141017i
$852$	−10.9710	−	10.9710i	−0.375859	−	0.375859i
$853$	−18.1560	−	18.1560i	−0.621649	−	0.621649i	0.324304	−	0.945953i	$-0.394870\pi$
$853$	−18.1560	−	18.1560i	−0.621649	−	0.621649i	−0.945953	+	0.324304i	$0.894870\pi$
$854$	3.75358	+	5.31674i	0.128445	+	0.181935i
$855$	−2.57237	−	1.48516i	−0.0879733	−	0.0507914i
$856$	−5.46910	−	1.46544i	−0.186930	−	0.0500877i
$857$	0.942085	+	1.63174i	0.0321810	+	0.0557392i	0.881667	−	0.471871i	$-0.156421\pi$
$857$	0.942085	+	1.63174i	0.0321810	+	0.0557392i	−0.849486	+	0.527611i	$0.823088\pi$
$858$	−3.15974	−	2.82712i	−0.107872	−	0.0965162i
$859$	−1.31631	−	0.759972i	−0.0449119	−	0.0259299i	0.477376	−	0.878699i	$-0.341588\pi$
$859$	−1.31631	−	0.759972i	−0.0449119	−	0.0259299i	−0.522288	+	0.852769i	$0.674921\pi$
$860$	1.36023	+	5.07646i	0.0463835	+	0.173106i
$861$	17.7169	+	8.17819i	0.603792	+	0.278712i
$862$	4.21178	−	2.43167i	0.143454	−	0.0828231i
$863$	−8.87371	+	2.37770i	−0.302065	+	0.0809380i	−0.406668	−	0.913576i	$-0.633309\pi$
$863$	−8.87371	+	2.37770i	−0.302065	+	0.0809380i	0.104603	+	0.994514i	$0.466643\pi$
$864$	−4.38581	−	16.3681i	−0.149208	−	0.556853i
$865$	−2.68790	−	10.0314i	−0.0913914	−	0.341077i
$866$	2.58017	−	0.691356i	0.0876779	−	0.0234932i
$867$	−3.16936	+	1.82983i	−0.107637	+	0.0621443i
$868$	−0.482596	−	5.28055i	−0.0163804	−	0.179234i
$869$	7.48691	+	27.9415i	0.253976	+	0.947851i
$870$	−0.348549	−	0.201235i	−0.0118169	−	0.00682251i
$871$	−11.5176	+	22.7811i	−0.390258	+	0.771910i
$872$	−0.479247	−	0.830080i	−0.0162293	−	0.0281100i
$873$	24.5937	+	6.58985i	0.832369	+	0.223033i
$874$	−6.67638	−	3.85461i	−0.225832	−	0.130384i
$875$	−1.21163	−	13.2577i	−0.0409607	−	0.448191i
$876$	17.8705	+	17.8705i	0.603789	+	0.603789i
$877$	−2.00585	−	2.00585i	−0.0677326	−	0.0677326i	0.672429	−	0.740162i	$-0.265251\pi$
$877$	−2.00585	−	2.00585i	−0.0677326	−	0.0677326i	−0.740162	+	0.672429i	$0.765251\pi$
$878$	−4.84685	+	1.29871i	−0.163573	+	0.0438293i
$879$	−21.1333	−	5.66265i	−0.712809	−	0.190997i
$880$		−	6.94461i		−	0.234103i
$881$	16.7491	−	29.0103i	0.564292	−	0.977383i	−0.432823	−	0.901479i	$-0.642483\pi$
$881$	16.7491	−	29.0103i	0.564292	−	0.977383i	0.997115	−	0.0759037i	$-0.0241842\pi$
$882$	3.74760	+	0.298652i	0.126188	+	0.0100561i
$883$		−	36.3459i		−	1.22314i	−0.791192	−	0.611568i	$-0.790539\pi$
$883$		−	36.3459i		−	1.22314i	0.791192	−	0.611568i	$-0.209461\pi$
$884$	23.2837	+	20.8327i	0.783117	+	0.700679i
$885$	0.248695	−	0.143584i	0.00835978	−	0.00482652i
$886$	2.07742	+	2.07742i	0.0697921	+	0.0697921i
$887$	21.2724	−	12.2816i	0.714258	−	0.412377i	−0.0983776	−	0.995149i	$-0.531365\pi$
$887$	21.2724	−	12.2816i	0.714258	−	0.412377i	0.812636	+	0.582772i	$0.198032\pi$
$888$	−0.110172	−	0.190823i	−0.00369713	−	0.00640361i
$889$	3.17501	+	8.61929i	0.106486	+	0.289082i
$890$	−0.467311	+	1.74403i	−0.0156643	+	0.0584599i
$891$	−0.175961	+	0.175961i	−0.00589491	+	0.00589491i
$892$	−11.6450	+	43.4596i	−0.389902	+	1.45513i
$893$	−14.4143	+	24.9663i	−0.482356	+	0.835465i
$894$	2.20626	+	3.82136i	0.0737885	+	0.127805i
$895$	10.7009	−	2.86730i	0.357691	−	0.0958431i
$896$	−12.6464	−	17.9129i	−0.422486	−	0.598428i
$897$	22.2408	−	24.8575i	0.742598	−	0.829968i
$898$	−2.62488	+	4.54642i	−0.0875934	+	0.151716i
$899$	1.87363	−	1.87363i	0.0624891	−	0.0624891i
$900$	16.9090			0.563633
$901$	−4.63363			−0.154369
$902$	5.39743	−	5.39743i	0.179715	−	0.179715i
$903$	−2.53991	+	14.7380i	−0.0845230	+	0.490449i
$904$	5.33983	+	1.43080i	0.177600	+	0.0475878i
$905$	−2.64316	−	9.86440i	−0.0878616	−	0.327904i
$906$	1.32042	+	0.762347i	0.0438681	+	0.0253273i
$907$		−	34.2066i		−	1.13581i	−0.823094	−	0.567905i	$-0.807754\pi$
$907$		−	34.2066i		−	1.13581i	0.823094	−	0.567905i	$-0.192246\pi$
$908$	−3.05742	+	11.4105i	−0.101464	+	0.378669i
$909$	2.07180			0.0687173
$910$	−0.523126	+	1.32139i	−0.0173415	+	0.0438036i
$911$	49.8898			1.65292			0.826462	−	0.562993i	$-0.190350\pi$
$911$	49.8898			1.65292			0.826462	+	0.562993i	$0.190350\pi$
$912$	−2.98394	+	11.1362i	−0.0988081	+	0.368757i
$913$		−	34.8036i		−	1.15183i
$914$	−8.41875	−	4.86057i	−0.278468	−	0.160773i
$915$	−1.21758	−	4.54406i	−0.0402519	−	0.150222i
$916$	−21.0875	−	5.65037i	−0.696750	−	0.186694i
$917$	−15.8565	−	43.0461i	−0.523628	−	1.42151i
$918$	4.77523	−	4.77523i	0.157606	−	0.157606i
$919$	−2.71652			−0.0896098			−0.0448049	−	0.998996i	$-0.514267\pi$
$919$	−2.71652			−0.0896098			−0.0448049	+	0.998996i	$0.514267\pi$
$920$	−5.06444			−0.166970
$921$	−7.71661	+	7.71661i	−0.254271	+	0.254271i
$922$	1.63532	−	2.83245i	0.0538563	−	0.0932818i
$923$	−27.3348	+	1.51869i	−0.899737	+	0.0499882i
$924$	8.67427	−	18.7916i	0.285363	−	0.618199i
$925$	0.837217	−	0.224332i	0.0275275	−	0.00737598i
$926$	0.825655	+	1.43008i	0.0271327	+	0.0469952i
$927$	−0.399198	+	0.691432i	−0.0131114	+	0.0227096i
$928$	2.14398	−	8.00144i	0.0703796	−	0.262660i
$929$	17.7678	−	17.7678i	0.582942	−	0.582942i	−0.352768	−	0.935711i	$-0.614760\pi$
$929$	17.7678	−	17.7678i	0.582942	−	0.582942i	0.935711	+	0.352768i	$0.114760\pi$
$930$	0.0429711	−	0.160370i	0.00140908	−	0.00525875i
$931$	−17.7712	−	12.2396i	−0.582428	−	0.401135i
$932$	−14.2855	−	24.7433i	−0.467939	−	0.810494i
$933$	−8.97662	+	5.18266i	−0.293881	+	0.169673i
$934$	−7.41102	−	7.41102i	−0.242496	−	0.242496i
$935$	7.74826	−	4.47346i	0.253395	−	0.146298i
$936$	−6.76899	−	3.42223i	−0.221251	−	0.111859i
$937$		−	3.14878i		−	0.102866i	−0.998676	−	0.0514330i	$-0.983621\pi$
$937$		−	3.14878i		−	0.102866i	0.998676	−	0.0514330i	$-0.0163789\pi$
$938$	5.31936	+	0.916727i	0.173683	+	0.0299322i
$939$	8.89099	−	15.3996i	0.290146	−	0.502548i
$940$			9.26848i			0.302304i
$941$	9.35203	+	2.50587i	0.304867	+	0.0816890i	0.408010	−	0.912978i	$-0.366223\pi$
$941$	9.35203	+	2.50587i	0.304867	+	0.0816890i	−0.103142	+	0.994667i	$0.532890\pi$
$942$	−1.03602	+	0.277601i	−0.0337553	+	0.00904472i
$943$	42.4613	+	42.4613i	1.38273	+	1.38273i
$944$	1.29283	+	1.29283i	0.0420781	+	0.0420781i
$945$	−6.43873	−	2.97214i	−0.209452	−	0.0966836i
$946$	5.06633	+	2.92504i	0.164720	+	0.0951014i
$947$	42.4440	+	11.3728i	1.37925	+	0.369568i	0.870847	−	0.491554i	$-0.163571\pi$
$947$	42.4440	+	11.3728i	1.37925	+	0.369568i	0.508399	+	0.861122i	$0.330238\pi$
$948$	−7.71982	−	13.3711i	−0.250728	−	0.434274i
$949$	44.5256	−	2.47378i	1.44536	−	0.0803023i
$950$	3.64078	+	2.10201i	0.118123	+	0.0681981i
$951$	2.94015	+	10.9728i	0.0953408	+	0.355817i
$952$	5.65753	−	12.2563i	0.183362	−	0.397228i
$953$	−17.0074	+	9.81922i	−0.550923	+	0.318076i	−0.749494	−	0.662011i	$-0.769703\pi$
$953$	−17.0074	+	9.81922i	−0.550923	+	0.318076i	0.198571	+	0.980086i	$0.436370\pi$
$954$	0.531772	−	0.142488i	0.0172168	−	0.00461322i
$955$	−0.575216	−	2.14673i	−0.0186135	−	0.0694667i
$956$	14.3572	+	53.5819i	0.464346	+	1.73296i
$957$	9.99001	−	2.67682i	0.322931	−	0.0865292i
$958$	−6.06595	+	3.50218i	−0.195982	+	0.113150i
$959$	−10.4746	+	22.6918i	−0.338242	+	0.732755i
$960$	0.866562	+	3.23405i	0.0279682	+	0.104379i
$961$	−25.9002	−	14.9535i	−0.835489	−	0.482370i
$962$	−0.186245	−	0.0389763i	−0.00600477	−	0.00125665i
$963$	−4.67467	−	8.09677i	−0.150639	−	0.260915i
$964$	34.0567	+	9.12545i	1.09689	+	0.293911i
$965$	−6.06846	−	3.50363i	−0.195351	−	0.112786i
$966$	−6.40365	−	2.95594i	−0.206034	−	0.0951059i
$967$	−22.4539	−	22.4539i	−0.722068	−	0.722068i	0.246958	−	0.969026i	$-0.420569\pi$
$967$	−22.4539	−	22.4539i	−0.722068	−	0.722068i	−0.969026	+	0.246958i	$0.920569\pi$
$968$	−2.91829	−	2.91829i	−0.0937975	−	0.0937975i
$969$	−14.3471	+	3.84429i	−0.460894	+	0.123496i
$970$	1.96587	+	0.526753i	0.0631202	+	0.0169130i
$971$			39.0812i			1.25417i	0.778949	+	0.627087i	$0.215753\pi$
$971$			39.0812i			1.25417i	−0.778949	+	0.627087i	$0.784247\pi$
$972$	14.9741	−	25.9359i	0.480295	−	0.831895i
$973$	39.5977	+	6.82419i	1.26945	+	0.218773i
$974$			7.67675i			0.245979i
$975$	−12.1284	+	13.5554i	−0.388420	+	0.434119i
$976$	25.9389	−	14.9758i	0.830285	−	0.479365i
$977$	19.0847	+	19.0847i	0.610572	+	0.610572i	0.943095	−	0.332523i	$-0.107900\pi$
$977$	19.0847	+	19.0847i	0.610572	+	0.610572i	−0.332523	+	0.943095i	$0.607900\pi$
$978$	−0.610723	+	0.352601i	−0.0195288	+	0.0112749i
$979$	−23.1989	−	40.1817i	−0.741441	−	1.28421i
$980$	−6.91556	−	0.551112i	−0.220909	−	0.0176046i
$981$	0.409633	−	1.52877i	0.0130786	−	0.0488099i
$982$	−3.58853	+	3.58853i	−0.114515	+	0.114515i
$983$	3.22784	−	12.0465i	0.102952	−	0.384223i	−0.895153	−	0.445760i	$-0.852934\pi$
$983$	3.22784	−	12.0465i	0.102952	−	0.384223i	0.998105	+	0.0615370i	$0.0196002\pi$
$984$	−4.16235	+	7.20941i	−0.132691	+	0.229827i
$985$	0.989935	+	1.71462i	0.0315420	+	0.0546323i
$986$	3.18878	−	0.854431i	0.101551	−	0.0272106i
$987$	−11.0537	+	23.9464i	−0.351844	+	0.762223i
$988$	11.6602	+	17.8323i	0.370961	+	0.567320i
$989$	−23.0112	+	39.8565i	−0.731713	+	1.26736i
$990$	−0.751656	+	0.751656i	−0.0238892	+	0.0238892i
$991$	−22.1128			−0.702436			−0.351218	−	0.936294i	$-0.614232\pi$
$991$	−22.1128			−0.702436			−0.351218	+	0.936294i	$0.614232\pi$
$992$	3.41720			0.108496
$993$	25.8435	−	25.8435i	0.820119	−	0.820119i
$994$	2.00098	+	5.43211i	0.0634671	+	0.172296i
$995$	−5.24761	−	1.40609i	−0.166361	−	0.0445762i
$996$	4.80785	+	17.9431i	0.152343	+	0.568550i
$997$	29.9386	+	17.2851i	0.948167	+	0.547424i	0.892511	−	0.451026i	$-0.148942\pi$
$997$	29.9386	+	17.2851i	0.948167	+	0.547424i	0.0556556	+	0.998450i	$0.482275\pi$
$998$		−	4.37931i		−	0.138625i
$999$	0.245746	−	0.917136i	0.00777505	−	0.0290169i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.w.a.33.5	✓	28
3.2	odd	2		819.2.gh.b.397.3		28
7.2	even	3		637.2.bd.a.293.3		28
7.3	odd	6		91.2.ba.a.59.5	yes	28
7.4	even	3		637.2.bb.a.423.5		28
7.5	odd	6		637.2.bd.b.293.3		28
7.6	odd	2		637.2.x.a.215.5		28
13.2	odd	12		91.2.ba.a.54.5	yes	28
21.17	even	6		819.2.et.b.514.3		28
39.2	even	12		819.2.et.b.145.3		28
91.2	odd	12		637.2.bd.b.587.3		28
91.41	even	12		637.2.bb.a.509.5		28
91.54	even	12		637.2.bd.a.587.3		28
91.67	odd	12		637.2.x.a.80.5		28
91.80	even	12	inner	91.2.w.a.80.5	yes	28
273.80	odd	12		819.2.gh.b.262.3		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.5	✓	28	1.1	even	1	trivial
91.2.w.a.80.5	yes	28	91.80	even	12	inner
91.2.ba.a.54.5	yes	28	13.2	odd	12
91.2.ba.a.59.5	yes	28	7.3	odd	6
637.2.x.a.80.5		28	91.67	odd	12
637.2.x.a.215.5		28	7.6	odd	2
637.2.bb.a.423.5		28	7.4	even	3
637.2.bb.a.509.5		28	91.41	even	12
637.2.bd.a.293.3		28	7.2	even	3
637.2.bd.a.587.3		28	91.54	even	12
637.2.bd.b.293.3		28	7.5	odd	6
637.2.bd.b.587.3		28	91.2	odd	12
819.2.et.b.145.3		28	39.2	even	12
819.2.et.b.514.3		28	21.17	even	6
819.2.gh.b.262.3		28	273.80	odd	12
819.2.gh.b.397.3		28	3.2	odd	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:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0745816 - 0.278342i) q^{2} -1.06594i q^{3} +(1.66014 + 0.958482i) q^{4} +(0.133809 + 0.499383i) q^{5} +(-0.296695 - 0.0794993i) q^{6} +(-2.03333 - 1.69280i) q^{7} +(0.798123 - 0.798123i) q^{8} +1.86378 q^{9} +O(q^{10})\)	\(q+(0.0745816 - 0.278342i) q^{2} -1.06594i q^{3} +(1.66014 + 0.958482i) q^{4} +(0.133809 + 0.499383i) q^{5} +(-0.296695 - 0.0794993i) q^{6} +(-2.03333 - 1.69280i) q^{7} +(0.798123 - 0.798123i) q^{8} +1.86378 q^{9} +0.148979 q^{10} +(-2.70707 + 2.70707i) q^{11} +(1.02168 - 1.76960i) q^{12} +(-1.12494 - 3.42557i) q^{13} +(-0.622826 + 0.439711i) q^{14} +(0.532311 - 0.142632i) q^{15} +(1.75434 + 3.03860i) q^{16} +(-2.26016 + 3.91471i) q^{17} +(0.139003 - 0.518768i) q^{18} +(-2.17974 + 2.17974i) q^{19} +(-0.256508 + 0.957300i) q^{20} +(-1.80442 + 2.16740i) q^{21} +(0.551594 + 0.955389i) q^{22} +(-7.51600 + 4.33936i) q^{23} +(-0.850749 - 0.850749i) q^{24} +(4.09865 - 2.36636i) q^{25} +(-1.03738 + 0.0576354i) q^{26} -5.18448i q^{27} +(-1.75310 - 4.75919i) q^{28} +(1.26720 - 2.19486i) q^{29} -0.158802i q^{30} +(1.00987 + 0.270595i) q^{31} +(3.15712 - 0.845949i) q^{32} +(2.88557 + 2.88557i) q^{33} +(0.921063 + 0.921063i) q^{34} +(0.573276 - 1.24192i) q^{35} +(3.09413 + 1.78640i) q^{36} +(0.176900 + 0.0474003i) q^{37} +(0.444144 + 0.769281i) q^{38} +(-3.65144 + 1.19912i) q^{39} +(0.505366 + 0.291773i) q^{40} +(-1.79081 - 6.68338i) q^{41} +(0.468704 + 0.663893i) q^{42} +(4.59244 - 2.65145i) q^{43} +(-7.08879 + 1.89943i) q^{44} +(0.249391 + 0.930740i) q^{45} +(0.647273 + 2.41566i) q^{46} +(9.03333 - 2.42047i) q^{47} +(3.23896 - 1.87001i) q^{48} +(1.26888 + 6.88404i) q^{49} +(-0.352973 - 1.31731i) q^{50} +(4.17284 + 2.40919i) q^{51} +(1.41578 - 6.76515i) q^{52} +(0.512534 + 0.887735i) q^{53} +(-1.44306 - 0.386667i) q^{54} +(-1.71410 - 0.989634i) q^{55} +(-2.97391 + 0.271789i) q^{56} +(2.32346 + 2.32346i) q^{57} +(-0.516412 - 0.516412i) q^{58} +(0.503336 - 0.134868i) q^{59} +(1.02042 + 0.273421i) q^{60} -8.53647i q^{61} +(0.150636 - 0.260909i) q^{62} +(-3.78968 - 3.15500i) q^{63} +6.07549i q^{64} +(1.56014 - 1.02015i) q^{65} +(1.01838 - 0.587965i) q^{66} +(-5.00628 - 5.00628i) q^{67} +(-7.50436 + 4.33264i) q^{68} +(4.62549 + 8.01158i) q^{69} +(-0.302924 - 0.252192i) q^{70} +(1.96522 - 7.33429i) q^{71} +(1.48752 - 1.48752i) q^{72} +(-3.20113 + 11.9468i) q^{73} +(0.0263870 - 0.0457036i) q^{74} +(-2.52239 - 4.36890i) q^{75} +(-5.70790 + 1.52943i) q^{76} +(10.0869 - 0.921852i) q^{77} +(0.0614358 + 1.10578i) q^{78} +(3.77800 - 6.54369i) q^{79} +(-1.28268 + 1.28268i) q^{80} +0.0650005 q^{81} -1.99383 q^{82} +(-6.42827 + 6.42827i) q^{83} +(-5.07300 + 1.86869i) q^{84} +(-2.25737 - 0.604861i) q^{85} +(-0.395498 - 1.47602i) q^{86} +(-2.33958 - 1.35076i) q^{87} +4.32115i q^{88} +(-3.13675 + 11.7065i) q^{89} +0.277664 q^{90} +(-3.51140 + 8.86961i) q^{91} -16.6368 q^{92} +(0.288437 - 1.07646i) q^{93} -2.69488i q^{94} +(-1.38019 - 0.796855i) q^{95} +(-0.901729 - 3.36530i) q^{96} +(13.1956 + 3.53575i) q^{97} +(2.01075 + 0.160240i) q^{98} +(-5.04538 + 5.04538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

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