LMFDB - Embedded newform 91.2.w.a.80.5

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			80.5
Character	$\chi$	$=$	91.80
Dual form			91.2.w.a.33.5

$q$-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 $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{6}\right)$

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	0.987268	−	0.159063i	$-0.0508475\pi$
$2$	0.0745816	+	0.278342i	0.0527371	+	0.196818i	−0.934531	+	0.355881i	$0.884181\pi$
$3$			1.06594i			0.615419i	0.951480	+	0.307710i	$0.0995625\pi$
$3$			1.06594i			0.615419i	−0.951480	+	0.307710i	$0.900437\pi$
$4$	1.66014	−	0.958482i	0.830069	−	0.479241i
$5$	0.133809	−	0.499383i	0.0598414	−	0.223331i	−0.929529	−	0.368749i	$-0.879786\pi$
$5$	0.133809	−	0.499383i	0.0598414	−	0.223331i	0.989370	+	0.145418i	$0.0464528\pi$
$6$	−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	0.169345	−	0.985557i	$-0.445835\pi$
$11$	−2.70707	−	2.70707i	−0.816212	−	0.816212i	−0.985557	+	0.169345i	$0.945835\pi$
$12$	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	−0.998400	−	0.0565446i	$-0.981992\pi$
$17$	−2.26016	−	3.91471i	−0.548169	−	0.949457i	0.450231	−	0.892912i	$-0.351342\pi$
$18$	0.139003	+	0.518768i	0.0327634	+	0.122275i
$19$	−2.17974	−	2.17974i	−0.500066	−	0.500066i	0.411393	−	0.911458i	$-0.365043\pi$
$19$	−2.17974	−	2.17974i	−0.500066	−	0.500066i	−0.911458	+	0.411393i	$0.865043\pi$
$20$	−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	−0.996494	−	0.0836605i	$-0.973339\pi$
$23$	−7.51600	−	4.33936i	−1.56719	−	0.904820i	−0.570699	−	0.821159i	$-0.693328\pi$
$24$	−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	0.959364	−	0.282172i	$-0.0910549\pi$
$29$	1.26720	+	2.19486i	0.235314	+	0.407575i	−0.724050	+	0.689747i	$0.757722\pi$
$30$			0.158802i			0.0289932i
$31$	1.00987	−	0.270595i	0.181378	−	0.0486002i	−0.166987	−	0.985959i	$-0.553404\pi$
$31$	1.00987	−	0.270595i	0.181378	−	0.0486002i	0.348365	+	0.937359i	$0.386737\pi$
$32$	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	−0.244249	−	0.969713i	$-0.578541\pi$
$37$	0.176900	−	0.0474003i	0.0290822	−	0.00779255i	0.273331	+	0.961920i	$0.411875\pi$
$38$	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	0.672965	+	0.739674i	$0.265020\pi$
$41$	−1.79081	+	6.68338i	−0.279677	+	1.04377i	−0.952642	+	0.304094i	$0.901646\pi$
$42$	0.468704	−	0.663893i	0.0723226	−	0.102441i
$43$	4.59244	+	2.65145i	0.700341	+	0.404342i	0.807474	−	0.589903i	$-0.200834\pi$
$43$	4.59244	+	2.65145i	0.700341	+	0.404342i	−0.107134	+	0.994245i	$0.534167\pi$
$44$	−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	0.848096	−	0.529843i	$-0.177749\pi$
$47$	9.03333	+	2.42047i	1.31765	+	0.353063i	0.469551	+	0.882905i	$0.344416\pi$
$48$	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	−0.828676	−	0.559729i	$-0.810905\pi$
$53$	0.512534	−	0.887735i	0.0704019	−	0.121940i	0.899078	+	0.437789i	$0.144238\pi$
$54$	−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	0.291434	−	0.956591i	$-0.405867\pi$
$59$	0.503336	+	0.134868i	0.0655287	+	0.0175584i	−0.225906	+	0.974149i	$0.572534\pi$
$60$	1.02042	−	0.273421i	0.131736	−	0.0352985i
$61$			8.53647i			1.09298i	0.837465	+	0.546491i	$0.184037\pi$
$61$			8.53647i			1.09298i	−0.837465	+	0.546491i	$0.815963\pi$
$62$	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	−0.943367	−	0.331752i	$-0.892360\pi$
$67$	−5.00628	+	5.00628i	−0.611615	+	0.611615i	0.331752	+	0.943367i	$0.392360\pi$
$68$	−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	0.978940	+	0.204150i	$0.0654432\pi$
$71$	1.96522	+	7.33429i	0.233228	+	0.870420i	−0.745711	+	0.666269i	$0.767890\pi$
$72$	1.48752	+	1.48752i	0.175306	+	0.175306i
$73$	−3.20113	−	11.9468i	−0.374664	−	1.39826i	−0.853835	−	0.520543i	$-0.825729\pi$
$73$	−3.20113	−	11.9468i	−0.374664	−	1.39826i	0.479171	−	0.877721i	$-0.340937\pi$
$74$	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	0.996426	−	0.0844720i	$-0.0269204\pi$
$79$	3.77800	+	6.54369i	0.425058	+	0.736222i	−0.571368	+	0.820694i	$0.693587\pi$
$80$	−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	0.260011	−	0.965606i	$-0.416274\pi$
$83$	−6.42827	−	6.42827i	−0.705594	−	0.705594i	−0.965606	+	0.260011i	$0.916274\pi$
$84$	−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	−0.906560	−	0.422078i	$-0.861301\pi$
$89$	−3.13675	−	11.7065i	−0.332495	−	1.24089i	0.574065	−	0.818810i	$-0.305366\pi$
$90$	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	0.483446	−	0.875374i	$-0.339385\pi$
$97$	13.1956	−	3.53575i	1.33981	−	0.359001i	0.856364	+	0.516373i	$0.172718\pi$
$98$	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	0.855280	−	0.518166i	$-0.173385\pi$
$103$	−0.214188	−	0.370984i	−0.0211046	−	0.0365542i	−0.876385	+	0.481612i	$0.840052\pi$
$104$	−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	−0.961418	−	0.275090i	$-0.911292\pi$
$107$	−2.50817	+	4.34428i	−0.242474	+	0.419977i	0.718944	+	0.695068i	$0.244626\pi$
$108$	4.96923	+	8.60696i	0.478164	+	0.828205i
$109$	0.219786	+	0.820253i	0.0210517	+	0.0785660i	0.975653	−	0.219322i	$-0.0703845\pi$
$109$	0.219786	+	0.820253i	0.0210517	+	0.0785660i	−0.954601	+	0.297888i	$0.903718\pi$
$110$	−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	−0.727546	−	0.686059i	$-0.759339\pi$
$113$	2.44889	−	4.24160i	0.230372	−	0.399016i	0.957918	+	0.287043i	$0.0926724\pi$
$114$	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	−0.627431	−	0.778672i	$-0.715894\pi$
$127$	−3.00665	+	1.73589i	−0.266797	+	0.154035i	0.360634	+	0.932707i	$0.382560\pi$
$128$	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	0.329512	−	0.944151i	$-0.393116\pi$
$131$	15.0157	−	8.66932i	1.31193	−	0.757442i	0.982415	+	0.186710i	$0.0597823\pi$
$132$	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	0.779350	+	0.626589i	$0.215549\pi$
$137$	−2.44489	+	9.12446i	−0.208881	+	0.779555i	−0.988231	+	0.152966i	$0.951117\pi$
$138$	2.57494	+	0.689952i	0.219193	+	0.0587327i
$139$	−13.1525	−	7.59358i	−1.11558	−	0.644079i	−0.175310	−	0.984513i	$-0.556093\pi$
$139$	−13.1525	−	7.59358i	−1.11558	−	0.644079i	−0.940268	+	0.340434i	$0.889426\pi$
$140$	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	−0.987813	−	0.155643i	$-0.950255\pi$
$149$	−10.1579	+	10.1579i	−0.832170	+	0.832170i	0.155643	+	0.987813i	$0.450255\pi$
$150$	−1.40417	−	0.376247i	−0.114650	−	0.0307205i
$151$	−4.79468	+	1.28473i	−0.390185	+	0.104550i	−0.448578	−	0.893744i	$-0.648069\pi$
$151$	−4.79468	+	1.28473i	−0.390185	+	0.104550i	0.0583923	+	0.998294i	$0.481403\pi$
$152$		−	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	0.615795	−	0.787907i	$-0.288835\pi$
$157$	3.02404	+	1.74593i	0.241345	+	0.139340i	−0.374450	+	0.927247i	$0.622168\pi$
$158$	−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	0.767821	−	0.640665i	$-0.221341\pi$
$163$	1.62342	+	1.62342i	0.127156	+	0.127156i	−0.640665	+	0.767821i	$0.721341\pi$
$164$	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	0.934983	−	0.354693i	$-0.115415\pi$
$167$	20.2547	+	5.42723i	1.56736	+	0.419972i	0.632372	+	0.774665i	$0.282081\pi$
$168$	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	$0.295597\pi$
$179$			21.4282i			1.60162i	−0.598919	+	0.800810i	$0.704403\pi$
$180$	−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	0.272337	−	0.962202i	$-0.412203\pi$
$193$	−9.58390	−	9.58390i	−0.689864	−	0.689864i	−0.962202	+	0.272337i	$0.912203\pi$
$194$	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	0.388173	−	0.921587i	$-0.373106\pi$
$197$	3.69905	+	0.991158i	0.263546	+	0.0706171i	−0.124626	+	0.992204i	$0.539773\pi$
$198$	1.02805	−	1.78063i	0.0730603	−	0.126544i
$199$	−5.25409	−	9.10036i	−0.372453	−	0.645107i	0.617489	−	0.786579i	$-0.288150\pi$
$199$	−5.25409	−	9.10036i	−0.372453	−	0.645107i	−0.989942	+	0.141472i	$0.954817\pi$
$200$	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	0.701146	−	0.713018i	$-0.252672\pi$
$211$	−3.87722	−	6.71554i	−0.266919	−	0.462317i	−0.968065	+	0.250701i	$0.919339\pi$
$212$		−	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	−0.393937	−	0.919138i	$-0.628887\pi$
$223$	6.07469	−	22.6710i	0.406791	−	1.51817i	0.800728	−	0.599028i	$-0.204446\pi$
$224$	−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	−0.892582	−	0.450885i	$-0.851108\pi$
$227$	1.59493	−	5.95236i	0.105859	−	0.395072i	0.998441	+	0.0558131i	$0.0177751\pi$
$228$	1.63027	−	6.08426i	0.107968	−	0.402940i
$229$	−11.0005	−	2.94756i	−0.726931	−	0.194780i	−0.123669	−	0.992324i	$-0.539466\pi$
$229$	−11.0005	−	2.94756i	−0.726931	−	0.194780i	−0.603262	+	0.797543i	$0.706133\pi$
$230$	−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	−0.859164	−	0.511700i	$-0.829016\pi$
$233$	−12.9075	+	7.45218i	−0.845602	+	0.488208i	0.0135628	+	0.999908i	$0.495683\pi$
$234$	−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	0.412706	−	0.910864i	$-0.364584\pi$
$239$	20.4619	−	20.4619i	1.32357	−	1.32357i	0.910864	−	0.412706i	$-0.135416\pi$
$240$	1.36726	−	1.36726i	0.0882560	−	0.0882560i
$241$	17.7659	+	4.76037i	1.14440	+	0.306642i	0.780721	−	0.624880i	$-0.214852\pi$
$241$	17.7659	+	4.76037i	1.14440	+	0.306642i	0.363684	+	0.931522i	$0.381519\pi$
$242$	−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	−0.953807	−	0.300421i	$-0.902873\pi$
$251$	−3.43367	+	5.94730i	−0.216731	+	0.375390i	0.737075	+	0.675811i	$0.236206\pi$
$252$	−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	−0.706392	−	0.707821i	$-0.749678\pi$
$257$	4.16483	−	7.21370i	0.259795	−	0.449978i	0.966187	+	0.257843i	$0.0830117\pi$
$258$	−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	−0.967787	−	0.251771i	$-0.918987\pi$
$269$	−20.2332	+	11.6816i	−1.23364	+	0.712242i	−0.265853	+	0.964014i	$0.585654\pi$
$270$			0.772380i			0.0470055i
$271$	3.44030	+	12.8394i	0.208983	+	0.779936i	0.988198	+	0.153179i	$0.0489512\pi$
$271$	3.44030	+	12.8394i	0.208983	+	0.779936i	−0.779215	+	0.626756i	$0.784382\pi$
$272$	−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	−0.368732	−	0.929536i	$-0.620208\pi$
$277$	4.19252	−	2.42055i	0.251904	−	0.145437i	0.620636	+	0.784099i	$0.286875\pi$
$278$	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	0.915607	−	0.402075i	$-0.131711\pi$
$281$	8.60836	+	8.60836i	0.513532	+	0.513532i	−0.402075	+	0.915607i	$0.631711\pi$
$282$	−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	0.928240	+	0.371983i	$0.121322\pi$
$293$	5.31237	+	19.8260i	0.310352	+	1.15825i	−0.617888	+	0.786266i	$0.712011\pi$
$294$	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	−0.882840	−	0.469673i	$-0.844372\pi$
$307$	−7.23927	+	7.23927i	−0.413167	+	0.413167i	0.469673	+	0.882840i	$0.344372\pi$
$308$	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	−0.970312	−	0.241856i	$-0.922244\pi$
$311$	−4.86207	+	8.42134i	−0.275702	+	0.477531i	0.694610	+	0.719387i	$0.255577\pi$
$312$	−1.95725	−	3.87134i	−0.110808	−	0.219172i
$313$	14.4470	−	8.34100i	0.816595	−	0.471461i	−0.0326459	−	0.999467i	$-0.510393\pi$
$313$	14.4470	−	8.34100i	0.816595	−	0.471461i	0.849241	+	0.528006i	$0.177060\pi$
$314$	−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	−0.0421288	−	0.999112i	$-0.513414\pi$
$317$	−10.2940	−	2.75827i	−0.578170	−	0.154920i	−0.536041	+	0.844192i	$0.680081\pi$
$318$	−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	0.429598	−	0.903020i	$-0.358655\pi$
$331$	24.2449	−	24.2449i	1.33262	−	1.33262i	0.903020	−	0.429598i	$-0.141345\pi$
$332$	−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	$-0.648261\pi$
$337$		−	32.8040i		−	1.78695i	0.449117	−	0.893473i	$-0.351739\pi$
$338$	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	0.718330	−	0.695703i	$-0.244907\pi$
$347$	−4.53276	−	7.85096i	−0.243331	−	0.421462i	−0.961661	+	0.274241i	$0.911573\pi$
$348$	−2.58936	+	4.48490i	−0.138804	+	0.240416i
$349$	27.6016	+	7.39582i	1.47748	+	0.395889i	0.905488	−	0.424372i	$-0.139505\pi$
$349$	27.6016	+	7.39582i	1.47748	+	0.395889i	0.571990	+	0.820261i	$0.306172\pi$
$350$	−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	0.219103	−	0.975702i	$-0.429687\pi$
$353$	−14.2152	−	14.2152i	−0.756599	−	0.756599i	−0.975702	+	0.219103i	$0.929687\pi$
$354$	−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	−0.350532	−	0.936551i	$-0.613999\pi$
$359$	7.98274	−	29.7920i	0.421313	−	1.57236i	0.771845	−	0.635811i	$-0.219334\pi$
$360$	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	$0.0442243\pi$
$367$			5.30610i			0.276976i	−0.990364	+	0.138488i	$0.955776\pi$
$368$	−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	0.754158	−	0.656693i	$-0.228045\pi$
$379$	21.0045	+	5.62815i	1.07893	+	0.289099i	0.324773	+	0.945792i	$0.394712\pi$
$380$	−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	0.462403	−	0.886670i	$-0.346987\pi$
$383$	−8.30305	−	8.30305i	−0.424266	−	0.424266i	−0.886670	+	0.462403i	$0.846987\pi$
$384$	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	0.998994	+	0.0448528i	$0.0142819\pi$
$389$	30.3210	+	17.5058i	1.53733	+	0.887580i	0.538341	+	0.842727i	$0.319051\pi$
$390$	−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	−0.550601	−	0.834768i	$-0.685602\pi$
$397$	5.66198	−	5.66198i	0.284167	−	0.284167i	0.834768	+	0.550601i	$0.185602\pi$
$398$	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	−0.848099	−	0.529837i	$-0.822253\pi$
$401$	−26.3860	+	7.07012i	−1.31766	+	0.353065i	−0.469557	+	0.882902i	$0.655586\pi$
$402$	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	−0.992825	−	0.119578i	$-0.961846\pi$
$409$	−1.48087	+	5.52667i	−0.0732242	+	0.273276i	0.919601	+	0.392855i	$0.128512\pi$
$410$	−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	−0.137946	−	0.990440i	$-0.544050\pi$
$419$	13.3221	−	7.69152i	0.650828	−	0.375755i	0.788773	+	0.614684i	$0.210717\pi$
$420$	−1.61201	+	2.28332i	−0.0786580	+	0.111415i
$421$	4.76255	−	4.76255i	0.232112	−	0.232112i	−0.581462	−	0.813574i	$-0.697519\pi$
$421$	4.76255	−	4.76255i	0.232112	−	0.232112i	0.813574	+	0.581462i	$0.197519\pi$
$422$	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	−0.358638	−	0.933477i	$-0.616759\pi$
$431$	11.9340	−	11.9340i	0.574839	−	0.574839i	0.933477	+	0.358638i	$0.116759\pi$
$432$	15.7536	+	9.09533i	0.757944	+	0.437599i
$433$	4.63490	−	8.02787i	0.222739	−	0.385795i	−0.732900	−	0.680337i	$-0.761834\pi$
$433$	4.63490	−	8.02787i	0.222739	−	0.385795i	0.955639	+	0.294542i	$0.0951669\pi$
$434$	−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	−0.995486	−	0.0949136i	$-0.969743\pi$
$439$	−8.70664	+	15.0803i	−0.415545	+	0.719745i	0.579940	+	0.814659i	$0.303076\pi$
$440$	−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	0.719142	−	0.694863i	$-0.244535\pi$
$443$	−5.09769	−	8.82945i	−0.242198	−	0.419500i	−0.961340	+	0.275363i	$0.911202\pi$
$444$	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	−0.648919	−	0.760857i	$-0.724779\pi$
$449$	−17.5974	+	4.71520i	−0.830471	+	0.222524i	−0.181552	+	0.983381i	$0.558112\pi$
$450$	−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	0.797637	+	0.603138i	$0.206083\pi$
$457$	8.73128	+	32.5856i	0.408432	+	1.52429i	−0.389204	+	0.921151i	$0.627250\pi$
$458$		−	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	0.00569051	−	0.999984i	$-0.498189\pi$
$461$	10.9633	−	2.93760i	0.510611	−	0.136818i	0.504920	+	0.863166i	$0.331522\pi$
$462$	−3.06602	+	0.528391i	−0.142644	+	0.0245830i
$463$	−4.05208	−	4.05208i	−0.188316	−	0.188316i	0.606652	−	0.794968i	$-0.292512\pi$
$463$	−4.05208	−	4.05208i	−0.188316	−	0.188316i	−0.794968	+	0.606652i	$0.792512\pi$
$464$	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	0.888602	+	0.458680i	$0.151678\pi$
$467$	18.1856	+	31.4984i	0.841529	+	1.45757i	−0.0470722	+	0.998891i	$0.514989\pi$
$468$	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	−0.980724	−	0.195397i	$-0.937400\pi$
$479$	−17.1877	+	17.1877i	−0.785327	+	0.785327i	0.195397	+	0.980724i	$0.437400\pi$
$480$	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	−0.376677	−	0.926345i	$-0.622933\pi$
$487$	−25.7327	−	6.89506i	−1.16606	−	0.312445i	−0.789384	+	0.613899i	$0.789600\pi$
$488$	−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	−0.802980	−	0.596006i	$-0.796753\pi$
$491$	−15.2520	+	8.80574i	−0.688313	+	0.397398i	0.114667	+	0.993404i	$0.463420\pi$
$492$	−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	0.571959	−	0.820282i	$-0.306184\pi$
$499$	14.6796	+	3.93339i	0.657149	+	0.176083i	0.0851901	+	0.996365i	$0.472850\pi$
$500$	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	0.410116	−	0.912033i	$-0.365488\pi$
$503$	−3.91743	−	2.26173i	−0.174669	−	0.100845i	−0.584786	+	0.811188i	$0.698821\pi$
$504$	−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	−0.958334	−	0.285652i	$-0.907790\pi$
$509$	−37.1230	+	9.94708i	−1.64545	+	0.440897i	−0.687115	+	0.726548i	$0.741123\pi$
$510$	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	0.993445	−	0.114308i	$-0.0364649\pi$
$521$	31.7542	+	18.3333i	1.39117	+	0.803195i	0.397729	+	0.917503i	$0.369798\pi$
$522$	−0.962478	+	0.962478i	−0.0421265	+	0.0421265i
$523$	9.11850	+	5.26457i	0.398724	+	0.230203i	0.685933	−	0.727664i	$-0.259394\pi$
$523$	9.11850	+	5.26457i	0.398724	+	0.230203i	−0.287209	+	0.957868i	$0.592728\pi$
$524$	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	−0.863495	−	0.504357i	$-0.831729\pi$
$541$	3.17473	−	11.8482i	0.136492	−	0.509396i	0.999987	−	0.00503858i	$-0.00160384\pi$
$542$	−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	0.367111	−	0.930177i	$-0.380347\pi$
$557$	−13.2888	−	13.2888i	−0.563066	−	0.563066i	−0.930177	+	0.367111i	$0.880347\pi$
$558$	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	0.598798	−	0.800900i	$-0.295645\pi$
$563$	−9.35345	−	16.2007i	−0.394201	−	0.682776i	−0.992999	+	0.118124i	$0.962312\pi$
$564$	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	0.617494	−	0.786575i	$-0.288148\pi$
$569$	5.84529	+	3.37478i	0.245047	+	0.141478i	−0.372447	+	0.928053i	$0.621481\pi$
$570$	0.346148	−	0.346148i	0.0144985	−	0.0144985i
$571$	−5.33385	−	3.07950i	−0.223215	−	0.128873i	0.384223	−	0.923240i	$-0.374469\pi$
$571$	−5.33385	−	3.07950i	−0.223215	−	0.128873i	−0.607438	+	0.794367i	$0.707803\pi$
$572$	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	−0.641827	−	0.766849i	$-0.721823\pi$
$577$	−19.5588	+	5.24075i	−0.814242	+	0.218175i	−0.172414	+	0.985025i	$0.555157\pi$
$578$	−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	0.861504	+	0.507751i	$0.169523\pi$
$587$	−3.35452	+	12.5192i	−0.138456	+	0.516725i	−0.999960	+	0.00897355i	$0.997144\pi$
$588$	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	0.206540	−	0.978438i	$-0.433780\pi$
$593$	−2.52797	−	0.677366i	−0.103811	−	0.0278161i	−0.310351	+	0.950622i	$0.600446\pi$
$594$	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	−0.999823	−	0.0188345i	$-0.994004\pi$
$599$	−11.8359	+	20.5003i	−0.483600	+	0.837620i	0.516222	+	0.856455i	$0.327338\pi$
$600$	−5.50010	+	1.47375i	−0.224540	+	0.0601654i
$601$	39.8779	−	23.0235i	1.62665	−	0.939149i	0.641573	−	0.767062i	$-0.278282\pi$
$601$	39.8779	−	23.0235i	1.62665	−	0.939149i	0.985082	−	0.172087i	$-0.0550511\pi$
$602$	−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	$-0.945388\pi$
$607$		−	8.41264i		−	0.341458i	0.985318	−	0.170729i	$-0.0546123\pi$
$608$	−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	−0.941767	−	0.336265i	$-0.890836\pi$
$613$	−14.9915	+	14.9915i	−0.605502	+	0.605502i	0.336265	+	0.941767i	$0.390836\pi$
$614$	−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	0.934962	+	0.354748i	$0.115433\pi$
$617$	7.51730	+	28.0549i	0.302635	+	1.12945i	−0.632327	+	0.774702i	$0.717900\pi$
$618$	0.0930415	+	0.0930415i	0.00374268	+	0.00374268i
$619$	6.66289	+	24.8662i	0.267804	+	0.999458i	0.960512	+	0.278240i	$0.0897509\pi$
$619$	6.66289	+	24.8662i	0.267804	+	0.999458i	−0.692708	+	0.721218i	$0.743582\pi$
$620$	−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	−0.173383	−	0.984855i	$-0.555470\pi$
$631$	4.24248	−	1.13677i	0.168891	−	0.0452541i	0.342273	+	0.939600i	$0.388803\pi$
$632$	−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	−0.802864	−	0.596162i	$-0.796692\pi$
$641$	−17.4189	+	10.0568i	−0.688005	+	0.397220i	0.114859	+	0.993382i	$0.463358\pi$
$642$	0.398795	−	1.48832i	0.0157392	−	0.0587395i
$643$	−3.80955	+	1.02077i	−0.150234	+	0.0402551i	−0.333152	−	0.942873i	$-0.608112\pi$
$643$	−3.80955	+	1.02077i	−0.150234	+	0.0402551i	0.182918	+	0.983128i	$0.441446\pi$
$644$	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	−0.743722	−	0.668489i	$-0.766941\pi$
$653$	5.29139	−	9.16495i	0.207068	−	0.358652i	0.950790	+	0.309837i	$0.100275\pi$
$654$	−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	−0.807044	−	0.590491i	$-0.798934\pi$
$659$	2.76883	−	4.79576i	0.107858	−	0.186816i	0.914902	+	0.403675i	$0.132267\pi$
$660$	−3.50252	−	2.02218i	−0.136335	−	0.0787133i
$661$	−9.40996	+	9.40996i	−0.366005	+	0.366005i	−0.866018	−	0.500013i	$-0.833329\pi$
$661$	−9.40996	+	9.40996i	−0.366005	+	0.366005i	0.500013	+	0.866018i	$0.333329\pi$
$662$	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	−0.230453	−	0.973083i	$-0.574021\pi$
$673$	12.8942	−	7.44448i	0.497035	−	0.286963i	0.727488	+	0.686120i	$0.240687\pi$
$674$	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	−0.279682	−	0.960093i	$-0.590229\pi$
$677$	10.7184	−	6.18827i	0.411942	−	0.237835i	0.691624	+	0.722258i	$0.256896\pi$
$678$	−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	−0.669841	−	0.742505i	$-0.733638\pi$
$683$	7.35708	−	27.4570i	0.281511	−	1.05061i	0.951351	−	0.308108i	$-0.0996957\pi$
$684$	−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	−0.467394	−	0.884049i	$-0.654807\pi$
$691$	−11.3072	+	3.02975i	−0.430145	+	0.115257i	0.0372491	+	0.999306i	$0.488141\pi$
$692$	−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	$-0.997406\pi$
$701$		−	0.431477i		−	0.0162966i	0.999967	−	0.00814832i	$-0.00259372\pi$
$702$	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	0.648485	−	0.761227i	$-0.275403\pi$
$709$	−3.00200	−	3.00200i	−0.112743	−	0.112743i	−0.761227	+	0.648485i	$0.775403\pi$
$710$	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	0.854779	+	0.518991i	$0.173692\pi$
$733$	−3.92510	+	14.6487i	−0.144977	+	0.541061i	−0.999756	+	0.0220699i	$0.992974\pi$
$734$	−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	0.736987	−	0.675907i	$-0.236248\pi$
$739$	1.66045	+	1.66045i	0.0610807	+	0.0610807i	−0.675907	+	0.736987i	$0.736248\pi$
$740$	−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	0.717800	−	0.696249i	$-0.245149\pi$
$743$	27.0211	+	7.24029i	0.991309	+	0.265620i	0.273509	+	0.961870i	$0.411816\pi$
$744$	−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	0.415321	−	0.909675i	$-0.363669\pi$
$751$	−4.51677	−	2.60776i	−0.164819	−	0.0951584i	−0.580141	+	0.814516i	$0.697002\pi$
$752$	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	0.990596	−	0.136817i	$-0.0436872\pi$
$757$	10.3674	+	17.9569i	0.376811	+	0.652656i	−0.613785	+	0.789473i	$0.710354\pi$
$758$			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	−0.00815767	+	0.999967i	$0.502597\pi$
$761$	−27.8103	+	27.8103i	−1.00812	+	1.00812i	−0.999967	+	0.00815767i	$0.997403\pi$
$762$	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	−0.891630	−	0.452765i	$-0.850437\pi$
$769$	2.96518	−	11.0662i	0.106927	−	0.399057i	0.998557	+	0.0537084i	$0.0171041\pi$
$770$	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	−0.302091	−	0.953279i	$-0.597685\pi$
$773$	12.1267	−	45.2574i	0.436167	−	1.62780i	0.738258	−	0.674518i	$-0.235649\pi$
$774$	−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	0.116489	−	0.993192i	$-0.462836\pi$
$787$	−7.83322	−	2.09890i	−0.279224	−	0.0748179i	−0.395713	+	0.918374i	$0.629503\pi$
$788$	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	−0.942295	−	0.334784i	$-0.891337\pi$
$797$	−5.11594	+	8.86106i	−0.181216	+	0.313875i	0.761079	+	0.648659i	$0.224670\pi$
$798$	−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	0.286298	−	0.958141i	$-0.407575\pi$
$811$	−19.1328	−	19.1328i	−0.671843	−	0.671843i	−0.958141	+	0.286298i	$0.907575\pi$
$812$	−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	−0.973303	−	0.229526i	$-0.926283\pi$
$821$	−7.02461	−	26.2162i	−0.245161	−	0.914952i	0.728142	−	0.685426i	$-0.240384\pi$
$822$		−	2.90155i		−	0.101203i
$823$	24.0565	−	13.8890i	0.838557	−	0.484141i	−0.0182167	−	0.999834i	$-0.505799\pi$
$823$	24.0565	−	13.8890i	0.838557	−	0.484141i	0.856773	+	0.515693i	$0.172466\pi$
$824$	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	0.998702	+	0.0509356i	$0.0162203\pi$
$827$	30.1851	+	30.1851i	1.04964	+	1.04964i	0.0509356	+	0.998702i	$0.483780\pi$
$828$	−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	0.935477	+	0.353387i	$0.114970\pi$
$839$	8.74827	+	32.6490i	0.302024	+	1.12717i	−0.633453	+	0.773781i	$0.718363\pi$
$840$	−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	−0.945953	−	0.324304i	$-0.894870\pi$
$853$	−18.1560	+	18.1560i	−0.621649	+	0.621649i	0.324304	+	0.945953i	$0.394870\pi$
$854$	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	−0.849486	−	0.527611i	$-0.823088\pi$
$857$	0.942085	−	1.63174i	0.0321810	−	0.0557392i	0.881667	+	0.471871i	$0.156421\pi$
$858$	−3.15974	+	2.82712i	−0.107872	+	0.0965162i
$859$	−1.31631	+	0.759972i	−0.0449119	+	0.0259299i	−0.522288	−	0.852769i	$-0.674921\pi$
$859$	−1.31631	+	0.759972i	−0.0449119	+	0.0259299i	0.477376	+	0.878699i	$0.341588\pi$
$860$	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	0.104603	−	0.994514i	$-0.466643\pi$
$863$	−8.87371	−	2.37770i	−0.302065	−	0.0809380i	−0.406668	+	0.913576i	$0.633309\pi$
$864$	−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	−0.740162	−	0.672429i	$-0.765251\pi$
$877$	−2.00585	+	2.00585i	−0.0677326	+	0.0677326i	0.672429	+	0.740162i	$0.265251\pi$
$878$	−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	0.997115	+	0.0759037i	$0.0241842\pi$
$881$	16.7491	+	29.0103i	0.564292	+	0.977383i	−0.432823	+	0.901479i	$0.642483\pi$
$882$	3.74760	−	0.298652i	0.126188	−	0.0100561i
$883$			36.3459i			1.22314i	0.791192	+	0.611568i	$0.209461\pi$
$883$			36.3459i			1.22314i	−0.791192	+	0.611568i	$0.790539\pi$
$884$	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	0.812636	−	0.582772i	$-0.198032\pi$
$887$	21.2724	+	12.2816i	0.714258	+	0.412377i	−0.0983776	+	0.995149i	$0.531365\pi$
$888$	−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	$0.192246\pi$
$907$			34.2066i			1.13581i	−0.823094	+	0.567905i	$0.807754\pi$
$908$	−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	0.935711	−	0.352768i	$-0.114760\pi$
$929$	17.7678	+	17.7678i	0.582942	+	0.582942i	−0.352768	+	0.935711i	$0.614760\pi$
$930$	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	$0.0163789\pi$
$937$			3.14878i			0.102866i	−0.998676	+	0.0514330i	$0.983621\pi$
$938$	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	−0.103142	−	0.994667i	$-0.532890\pi$
$941$	9.35203	−	2.50587i	0.304867	−	0.0816890i	0.408010	+	0.912978i	$0.366223\pi$
$942$	−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	0.508399	−	0.861122i	$-0.330238\pi$
$947$	42.4440	−	11.3728i	1.37925	−	0.369568i	0.870847	+	0.491554i	$0.163571\pi$
$948$	−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	0.198571	−	0.980086i	$-0.436370\pi$
$953$	−17.0074	−	9.81922i	−0.550923	−	0.318076i	−0.749494	+	0.662011i	$0.769703\pi$
$954$	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	−0.969026	−	0.246958i	$-0.920569\pi$
$967$	−22.4539	+	22.4539i	−0.722068	+	0.722068i	0.246958	+	0.969026i	$0.420569\pi$
$968$	−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	$-0.784247\pi$
$971$		−	39.0812i		−	1.25417i	0.778949	−	0.627087i	$-0.215753\pi$
$972$	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	−0.332523	−	0.943095i	$-0.607900\pi$
$977$	19.0847	−	19.0847i	0.610572	−	0.610572i	0.943095	+	0.332523i	$0.107900\pi$
$978$	−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	0.998105	−	0.0615370i	$-0.0196002\pi$
$983$	3.22784	+	12.0465i	0.102952	+	0.384223i	−0.895153	+	0.445760i	$0.852934\pi$
$984$	−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	0.0556556	−	0.998450i	$-0.482275\pi$
$997$	29.9386	−	17.2851i	0.948167	−	0.547424i	0.892511	+	0.451026i	$0.148942\pi$
$998$			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.80.5	yes	28
3.2	odd	2		819.2.gh.b.262.3		28
7.2	even	3		637.2.bb.a.509.5		28
7.3	odd	6		637.2.bd.b.587.3		28
7.4	even	3		637.2.bd.a.587.3		28
7.5	odd	6		91.2.ba.a.54.5	yes	28
7.6	odd	2		637.2.x.a.80.5		28
13.7	odd	12		91.2.ba.a.59.5	yes	28
21.5	even	6		819.2.et.b.145.3		28
39.20	even	12		819.2.et.b.514.3		28
91.20	even	12		637.2.bb.a.423.5		28
91.33	even	12	inner	91.2.w.a.33.5	✓	28
91.46	odd	12		637.2.bd.b.293.3		28
91.59	even	12		637.2.bd.a.293.3		28
91.72	odd	12		637.2.x.a.215.5		28
273.215	odd	12		819.2.gh.b.397.3		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.5	✓	28	91.33	even	12	inner
91.2.w.a.80.5	yes	28	1.1	even	1	trivial
91.2.ba.a.54.5	yes	28	7.5	odd	6
91.2.ba.a.59.5	yes	28	13.7	odd	12
637.2.x.a.80.5		28	7.6	odd	2
637.2.x.a.215.5		28	91.72	odd	12
637.2.bb.a.423.5		28	91.20	even	12
637.2.bb.a.509.5		28	7.2	even	3
637.2.bd.a.293.3		28	91.59	even	12
637.2.bd.a.587.3		28	7.4	even	3
637.2.bd.b.293.3		28	91.46	odd	12
637.2.bd.b.587.3		28	7.3	odd	6
819.2.et.b.145.3		28	21.5	even	6
819.2.et.b.514.3		28	39.20	even	12
819.2.gh.b.262.3		28	3.2	odd	2
819.2.gh.b.397.3		28	273.215	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
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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