LMFDB - Embedded newform 276.2.m.a.7.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(7,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 19]))

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

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

chi := DirichletCharacter("276.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.m (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			7.10
Character	$\chi$	$=$	276.7
Dual form			276.2.m.a.79.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.416968 - 1.35135i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.65228 + 1.12694i) q^{4} +(3.16176 - 1.44393i) q^{5} +(-0.911395 + 1.08137i) q^{6} +(3.54109 - 1.03976i) q^{7} +(2.21183 + 1.76290i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})$	\(q+(-0.416968 - 1.35135i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.65228 + 1.12694i) q^{4} +(3.16176 - 1.44393i) q^{5} +(-0.911395 + 1.08137i) q^{6} +(3.54109 - 1.03976i) q^{7} +(2.21183 + 1.76290i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-3.26960 - 3.67057i) q^{10} +(3.54401 + 4.09000i) q^{11} +(1.84133 + 0.780714i) q^{12} +(-3.81703 - 1.12078i) q^{13} +(-2.88160 - 4.35170i) q^{14} +(-2.92409 - 1.87920i) q^{15} +(1.46003 - 3.72402i) q^{16} +(-2.27084 - 0.326497i) q^{17} +(1.40244 + 0.182082i) q^{18} +(-0.425287 - 2.95794i) q^{19} +(-3.59689 + 5.94888i) q^{20} +(-2.78916 - 2.41682i) q^{21} +(4.04927 - 6.49459i) q^{22} +(-3.82026 - 2.89925i) q^{23} +(0.287241 - 2.81380i) q^{24} +(4.63752 - 5.35198i) q^{25} +(0.0770158 + 5.62546i) q^{26} +(0.989821 - 0.142315i) q^{27} +(-4.67912 + 5.70856i) q^{28} +(-0.654813 + 4.55432i) q^{29} +(-1.32020 + 4.73502i) q^{30} +(-2.28851 + 3.56099i) q^{31} +(-5.64123 - 0.420206i) q^{32} +(1.52469 - 5.19263i) q^{33} +(0.505656 + 3.20483i) q^{34} +(9.69477 - 8.40057i) q^{35} +(-0.338718 - 1.97111i) q^{36} +(-4.37180 - 1.99653i) q^{37} +(-3.81987 + 1.80808i) q^{38} +(1.12078 + 3.81703i) q^{39} +(9.53878 + 2.38015i) q^{40} +(4.95272 + 10.8449i) q^{41} +(-2.10297 + 4.77686i) q^{42} +(-1.95926 + 1.25914i) q^{43} +(-10.4649 - 2.76394i) q^{44} +3.47587i q^{45} +(-2.32496 + 6.37138i) q^{46} +6.50316i q^{47} +(-3.92219 + 0.785104i) q^{48} +(5.56948 - 3.57929i) q^{49} +(-9.16608 - 4.03529i) q^{50} +(0.953041 + 2.08687i) q^{51} +(7.56983 - 2.44971i) q^{52} +(-2.68730 - 9.15209i) q^{53} +(-0.605041 - 1.27825i) q^{54} +(17.1110 + 7.81433i) q^{55} +(9.66528 + 3.94283i) q^{56} +(-2.25845 + 1.95696i) q^{57} +(6.42750 - 1.01413i) q^{58} +(0.174870 - 0.595553i) q^{59} +(6.94914 - 0.190311i) q^{60} +(5.25584 - 8.17824i) q^{61} +(5.76637 + 1.60775i) q^{62} +(-0.525226 + 3.65302i) q^{63} +(1.78437 + 7.79846i) q^{64} +(-13.6869 + 1.96788i) q^{65} +(-7.65280 + 0.104771i) q^{66} +(-0.325035 + 0.375111i) q^{67} +(4.11999 - 2.01963i) q^{68} +(-0.373616 + 4.78126i) q^{69} +(-15.3945 - 9.59823i) q^{70} +(0.495483 + 0.429339i) q^{71} +(-2.52242 + 1.27961i) q^{72} +(-0.816891 - 5.68160i) q^{73} +(-0.875109 + 6.74031i) q^{74} +(-7.00961 - 1.00783i) q^{75} +(4.03610 + 4.40805i) q^{76} +(16.8023 + 10.7982i) q^{77} +(4.69080 - 3.10614i) q^{78} +(-8.14252 - 2.39086i) q^{79} +(-0.760959 - 13.8826i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(12.5901 - 11.2148i) q^{82} +(2.51673 - 5.51086i) q^{83} +(7.33207 + 0.850047i) q^{84} +(-7.65130 + 2.24662i) q^{85} +(2.51849 + 2.12262i) q^{86} +(4.18536 - 1.91139i) q^{87} +(0.628470 + 15.2941i) q^{88} +(6.73898 + 10.4861i) q^{89} +(4.69711 - 1.44933i) q^{90} -14.6818 q^{91} +(9.57938 + 0.485169i) q^{92} +4.23296 q^{93} +(8.78802 - 2.71161i) q^{94} +(-5.61571 - 8.73822i) q^{95} +(2.69638 + 4.97288i) q^{96} +(-11.5513 + 5.27529i) q^{97} +(-7.15915 - 6.03385i) q^{98} +(-5.19263 + 1.52469i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{19}{22}\right)$	$-1$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.416968	−	1.35135i	−0.294841	−	0.955546i
$2$	−0.416968	−	1.35135i	−0.294841	−	0.955546i
$3$	−0.540641	−	0.841254i	−0.312139	−	0.485698i
$3$	−0.540641	−	0.841254i	−0.312139	−	0.485698i
$4$	−1.65228	+	1.12694i	−0.826138	+	0.563468i
$5$	3.16176	−	1.44393i	1.41398	−	0.645745i	0.445605	−	0.895230i	$-0.352988\pi$
$5$	3.16176	−	1.44393i	1.41398	−	0.645745i	0.968379	+	0.249485i	$0.0802612\pi$
$6$	−0.911395	+	1.08137i	−0.372076	+	0.441467i
$7$	3.54109	−	1.03976i	1.33841	−	0.392992i	0.467307	−	0.884095i	$-0.345224\pi$
$7$	3.54109	−	1.03976i	1.33841	−	0.392992i	0.871101	+	0.491103i	$0.163406\pi$
$8$	2.21183	+	1.76290i	0.781999	+	0.623279i
$9$	−0.415415	+	0.909632i	−0.138472	+	0.303211i
$10$	−3.26960	−	3.67057i	−1.03394	−	1.16074i
$11$	3.54401	+	4.09000i	1.06856	+	1.23318i	0.971283	+	0.237925i	$0.0764673\pi$
$11$	3.54401	+	4.09000i	1.06856	+	1.23318i	0.0972754	+	0.995258i	$0.468987\pi$
$12$	1.84133	+	0.780714i	0.531545	+	0.225373i
$13$	−3.81703	−	1.12078i	−1.05865	−	0.310849i	−0.294345	−	0.955699i	$-0.595101\pi$
$13$	−3.81703	−	1.12078i	−1.05865	−	0.310849i	−0.764309	+	0.644850i	$0.776920\pi$
$14$	−2.88160	−	4.35170i	−0.770140	−	1.16304i
$15$	−2.92409	−	1.87920i	−0.754997	−	0.485207i
$16$	1.46003	−	3.72402i	0.365007	−	0.931005i
$17$	−2.27084	−	0.326497i	−0.550759	−	0.0791872i	−0.138683	−	0.990337i	$-0.544287\pi$
$17$	−2.27084	−	0.326497i	−0.550759	−	0.0791872i	−0.412076	+	0.911150i	$0.635196\pi$
$18$	1.40244	+	0.182082i	0.330559	+	0.0429172i
$19$	−0.425287	−	2.95794i	−0.0975676	−	0.678597i	−0.978635	−	0.205606i	$-0.934083\pi$
$19$	−0.425287	−	2.95794i	−0.0975676	−	0.678597i	0.881067	−	0.472991i	$-0.156826\pi$
$20$	−3.59689	+	5.94888i	−0.804289	+	1.33021i
$21$	−2.78916	−	2.41682i	−0.608645	−	0.527394i
$22$	4.04927	−	6.49459i	0.863308	−	1.38465i
$23$	−3.82026	−	2.89925i	−0.796579	−	0.604535i
$23$	−3.82026	−	2.89925i	−0.796579	−	0.604535i
$24$	0.287241	−	2.81380i	0.0586329	−	0.574365i
$25$	4.63752	−	5.35198i	0.927504	−	1.07040i
$26$	0.0770158	+	5.62546i	0.0151040	+	1.10324i
$27$	0.989821	−	0.142315i	0.190491	−	0.0273885i
$28$	−4.67912	+	5.70856i	−0.884271	+	1.07882i
$29$	−0.654813	+	4.55432i	−0.121596	+	0.845716i	0.834153	+	0.551533i	$0.185957\pi$
$29$	−0.654813	+	4.55432i	−0.121596	+	0.845716i	−0.955749	+	0.294184i	$0.904952\pi$
$30$	−1.32020	+	4.73502i	−0.241034	+	0.864493i
$31$	−2.28851	+	3.56099i	−0.411028	+	0.639573i	−0.983617	−	0.180270i	$-0.942303\pi$
$31$	−2.28851	+	3.56099i	−0.411028	+	0.639573i	0.572589	+	0.819843i	$0.305939\pi$
$32$	−5.64123	−	0.420206i	−0.997237	−	0.0742826i
$33$	1.52469	−	5.19263i	0.265415	−	0.903921i
$34$	0.505656	+	3.20483i	0.0867193	+	0.549624i
$35$	9.69477	−	8.40057i	1.63872	−	1.41995i
$36$	−0.338718	−	1.97111i	−0.0564530	−	0.328518i
$37$	−4.37180	−	1.99653i	−0.718719	−	0.328228i	0.0222634	−	0.999752i	$-0.492913\pi$
$37$	−4.37180	−	1.99653i	−0.718719	−	0.328228i	−0.740983	+	0.671524i	$0.765640\pi$
$38$	−3.81987	+	1.80808i	−0.619664	+	0.293309i
$39$	1.12078	+	3.81703i	0.179469	+	0.611214i
$40$	9.53878	+	2.38015i	1.50821	+	0.376335i
$41$	4.95272	+	10.8449i	0.773484	+	1.69369i	0.718827	+	0.695189i	$0.244679\pi$
$41$	4.95272	+	10.8449i	0.773484	+	1.69369i	0.0546572	+	0.998505i	$0.482593\pi$
$42$	−2.10297	+	4.77686i	−0.324496	+	0.737086i
$43$	−1.95926	+	1.25914i	−0.298785	+	0.192017i	−0.681440	−	0.731874i	$-0.738646\pi$
$43$	−1.95926	+	1.25914i	−0.298785	+	0.192017i	0.382655	+	0.923891i	$0.375010\pi$
$44$	−10.4649	−	2.76394i	−1.57764	−	0.416680i
$45$			3.47587i			0.518152i
$46$	−2.32496	+	6.37138i	−0.342797	+	0.939409i
$47$			6.50316i			0.948583i	0.880368	+	0.474291i	$0.157296\pi$
$47$			6.50316i			0.948583i	−0.880368	+	0.474291i	$0.842704\pi$
$48$	−3.92219	+	0.785104i	−0.566120	+	0.113320i
$49$	5.56948	−	3.57929i	0.795640	−	0.511327i
$50$	−9.16608	−	4.03529i	−1.29628	−	0.570676i
$51$	0.953041	+	2.08687i	0.133452	+	0.292220i
$52$	7.56983	−	2.44971i	1.04975	−	0.339714i
$53$	−2.68730	−	9.15209i	−0.369128	−	1.25714i	−0.909498	−	0.415708i	$-0.863534\pi$
$53$	−2.68730	−	9.15209i	−0.369128	−	1.25714i	0.540370	−	0.841428i	$-0.318284\pi$
$54$	−0.605041	−	1.27825i	−0.0823356	−	0.173948i
$55$	17.1110	+	7.81433i	2.30725	+	1.05368i
$56$	9.66528	+	3.94283i	1.29158	+	0.526882i
$57$	−2.25845	+	1.95696i	−0.299139	+	0.259205i
$58$	6.42750	−	1.01413i	0.843973	−	0.133162i
$59$	0.174870	−	0.595553i	0.0227662	−	0.0775344i	−0.947326	−	0.320270i	$-0.896226\pi$
$59$	0.174870	−	0.595553i	0.0227662	−	0.0775344i	0.970093	+	0.242735i	$0.0780446\pi$
$60$	6.94914	−	0.190311i	0.897130	−	0.0245691i
$61$	5.25584	−	8.17824i	0.672941	−	1.04712i	−0.322008	−	0.946737i	$-0.604358\pi$
$61$	5.25584	−	8.17824i	0.672941	−	1.04712i	0.994949	−	0.100380i	$-0.0320058\pi$
$62$	5.76637	+	1.60775i	0.732329	+	0.204184i
$63$	−0.525226	+	3.65302i	−0.0661722	+	0.460238i
$64$	1.78437	+	7.79846i	0.223046	+	0.974808i
$65$	−13.6869	+	1.96788i	−1.69765	+	0.244085i
$66$	−7.65280	+	0.104771i	−0.941994	+	0.0128964i
$67$	−0.325035	+	0.375111i	−0.0397094	+	0.0458271i	−0.775257	−	0.631646i	$-0.782380\pi$
$67$	−0.325035	+	0.375111i	−0.0397094	+	0.0458271i	0.735547	+	0.677473i	$0.236925\pi$
$68$	4.11999	−	2.01963i	0.499622	−	0.244916i
$69$	−0.373616	+	4.78126i	−0.0449781	+	0.575596i
$70$	−15.3945	−	9.59823i	−1.83999	−	1.14721i
$71$	0.495483	+	0.429339i	0.0588030	+	0.0509531i	0.683766	−	0.729701i	$-0.260341\pi$
$71$	0.495483	+	0.429339i	0.0588030	+	0.0509531i	−0.624963	+	0.780654i	$0.714886\pi$
$72$	−2.52242	+	1.27961i	−0.297270	+	0.150804i
$73$	−0.816891	−	5.68160i	−0.0956099	−	0.664981i	−0.980112	−	0.198445i	$-0.936411\pi$
$73$	−0.816891	−	5.68160i	−0.0956099	−	0.664981i	0.884502	−	0.466536i	$-0.154498\pi$
$74$	−0.875109	+	6.74031i	−0.101729	+	0.783545i
$75$	−7.00961	−	1.00783i	−0.809400	−	0.116374i
$76$	4.03610	+	4.40805i	0.462972	+	0.505639i
$77$	16.8023	+	10.7982i	1.91480	+	1.23057i
$78$	4.69080	−	3.10614i	0.531129	−	0.351702i
$79$	−8.14252	−	2.39086i	−0.916105	−	0.268993i	−0.210497	−	0.977595i	$-0.567508\pi$
$79$	−8.14252	−	2.39086i	−0.916105	−	0.268993i	−0.705609	+	0.708602i	$0.749326\pi$
$80$	−0.760959	−	13.8826i	−0.0850778	−	1.55213i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	12.5901	−	11.2148i	1.39035	−	1.23847i
$83$	2.51673	−	5.51086i	0.276247	−	0.604896i	−0.719755	−	0.694228i	$-0.755746\pi$
$83$	2.51673	−	5.51086i	0.276247	−	0.604896i	0.996002	+	0.0893321i	$0.0284732\pi$
$84$	7.33207	+	0.850047i	0.799994	+	0.0927477i
$85$	−7.65130	+	2.24662i	−0.829900	+	0.243681i
$86$	2.51849	+	2.12262i	0.271575	+	0.228888i
$87$	4.18536	−	1.91139i	0.448717	−	0.204922i
$88$	0.628470	+	15.2941i	0.0669952	+	1.63036i
$89$	6.73898	+	10.4861i	0.714330	+	1.11152i	0.988702	+	0.149895i	$0.0478937\pi$
$89$	6.73898	+	10.4861i	0.714330	+	1.11152i	−0.274372	+	0.961624i	$0.588470\pi$
$90$	4.69711	−	1.44933i	0.495119	−	0.152773i
$91$	−14.6818			−1.53907
$92$	9.57938	+	0.485169i	0.998720	+	0.0505824i
$93$	4.23296			0.438937
$94$	8.78802	−	2.71161i	0.906415	−	0.279681i
$95$	−5.61571	−	8.73822i	−0.576160	−	0.896522i
$96$	2.69638	+	4.97288i	0.275198	+	0.507543i
$97$	−11.5513	+	5.27529i	−1.17285	+	0.535625i	−0.903990	−	0.427554i	$-0.859376\pi$
$97$	−11.5513	+	5.27529i	−1.17285	+	0.535625i	−0.268864	+	0.963178i	$0.586648\pi$
$98$	−7.15915	−	6.03385i	−0.723184	−	0.609511i
$99$	−5.19263	+	1.52469i	−0.521879	+	0.153238i
$100$	−1.63111	+	14.0691i	−0.163111	+	1.40691i
$101$	−3.71048	+	8.12483i	−0.369207	+	0.808450i	0.630278	+	0.776369i	$0.282941\pi$
$101$	−3.71048	+	8.12483i	−0.369207	+	0.808450i	−0.999485	+	0.0320812i	$0.989786\pi$
$102$	2.42270	−	2.15805i	0.239883	−	0.213678i
$103$	2.76957	+	3.19625i	0.272893	+	0.314936i	0.875609	−	0.483020i	$-0.160460\pi$
$103$	2.76957	+	3.19625i	0.272893	+	0.314936i	−0.602716	+	0.797956i	$0.705915\pi$
$104$	−6.46679	−	9.20802i	−0.634121	−	0.902920i
$105$	−12.3084	−	3.61407i	−1.20118	−	0.352697i
$106$	−11.2471	+	7.44759i	−1.09242	+	0.723374i
$107$	3.25821	+	2.09392i	0.314983	+	0.202427i	0.688574	−	0.725166i	$-0.258237\pi$
$107$	3.25821	+	2.09392i	0.314983	+	0.202427i	−0.373591	+	0.927594i	$0.621874\pi$
$108$	−1.47508	+	1.35061i	−0.141939	+	0.129962i
$109$	−2.33947	−	0.336366i	−0.224081	−	0.0322180i	0.0293597	−	0.999569i	$-0.490653\pi$
$109$	−2.33947	−	0.336366i	−0.224081	−	0.0322180i	−0.253441	+	0.967351i	$0.581562\pi$
$110$	3.42513	−	26.3812i	0.326573	−	2.51535i
$111$	0.683982	+	4.75720i	0.0649207	+	0.451533i
$112$	1.29801	−	14.7052i	0.122651	−	1.38951i
$113$	5.93974	+	5.14682i	0.558764	+	0.484172i	0.887853	−	0.460127i	$-0.152196\pi$
$113$	5.93974	+	5.14682i	0.558764	+	0.484172i	−0.329089	+	0.944299i	$0.606742\pi$
$114$	3.58623	+	2.23596i	0.335881	+	0.209417i
$115$	−16.2651	−	3.65056i	−1.51672	−	0.340416i
$116$	−4.05050	−	8.26293i	−0.376080	−	0.767193i
$117$	2.60515	−	3.00650i	0.240846	−	0.277951i
$118$	−0.877714	+	0.0120164i	−0.0808001	+	0.00110620i
$119$	−8.38073	+	1.20497i	−0.768261	+	0.110459i
$120$	−3.15475	−	9.31134i	−0.287988	−	0.850005i
$121$	−2.60267	+	18.1020i	−0.236607	+	1.64564i
$122$	−13.2432	−	3.69239i	−1.19898	−	0.334293i
$123$	6.44570	−	10.0297i	0.581189	−	0.904348i
$124$	−0.231763	−	8.46274i	−0.0208129	−	0.759977i
$125$	2.03853	−	6.94258i	0.182331	−	0.620963i
$126$	5.15550	−	0.813433i	0.459289	−	0.0724663i
$127$	−9.26425	+	8.02752i	−0.822069	+	0.712327i	−0.960571	−	0.278035i	$-0.910317\pi$
$127$	−9.26425	+	8.02752i	−0.822069	+	0.712327i	0.138502	+	0.990362i	$0.455771\pi$
$128$	9.79440	−	5.66301i	0.865711	−	0.500544i
$129$	2.11851	+	0.967493i	0.186525	+	0.0851830i
$130$	8.36627	+	17.6752i	0.733771	+	1.55022i
$131$	0.346739	+	1.18088i	0.0302947	+	0.103174i	0.973253	−	0.229738i	$-0.0737869\pi$
$131$	0.346739	+	1.18088i	0.0302947	+	0.103174i	−0.942958	+	0.332912i	$0.891969\pi$
$132$	3.33255	+	10.2979i	0.290062	+	0.896317i
$133$	−4.58152	−	10.0321i	−0.397269	−	0.869897i
$134$	0.642434	+	0.282826i	0.0554979	+	0.0244325i
$135$	2.92409	−	1.87920i	0.251666	−	0.161736i
$136$	−4.44712	−	4.72542i	−0.381338	−	0.405201i
$137$		−	1.90065i		−	0.162383i	−0.996699	−	0.0811917i	$-0.974127\pi$
$137$		−	1.90065i		−	0.162383i	0.996699	−	0.0811917i	$-0.0258726\pi$
$138$	6.61692	−	1.48875i	0.563270	−	0.126730i
$139$			3.83894i			0.325615i	0.986658	+	0.162807i	$0.0520549\pi$
$139$			3.83894i			0.325615i	−0.986658	+	0.162807i	$0.947945\pi$
$140$	−6.55152	+	24.8054i	−0.553705	+	2.09644i
$141$	5.47080	−	3.51587i	0.460725	−	0.296090i
$142$	0.373585	−	0.848590i	0.0313505	−	0.0712121i
$143$	−8.94359	−	19.5837i	−0.747901	−	1.63767i
$144$	2.78097	+	2.87510i	0.231748	+	0.239592i
$145$	4.50576	+	15.3452i	0.374183	+	1.27435i
$146$	−7.33720	+	3.47295i	−0.607231	+	0.287423i
$147$	−6.02218	−	2.75024i	−0.496701	−	0.226836i
$148$	9.47338	−	1.62792i	0.778707	−	0.133814i
$149$	17.1256	−	14.8394i	1.40299	−	1.21569i	0.457843	−	0.889033i	$-0.348622\pi$
$149$	17.1256	−	14.8394i	1.40299	−	1.21569i	0.945142	−	0.326661i	$-0.105923\pi$
$150$	1.56086	+	9.89264i	0.127443	+	0.807731i
$151$	3.39849	−	11.5742i	0.276566	−	0.941896i	−0.697681	−	0.716409i	$-0.745785\pi$
$151$	3.39849	−	11.5742i	0.276566	−	0.941896i	0.974246	−	0.225487i	$-0.0723973\pi$
$152$	4.27389	−	7.29219i	0.346658	−	0.591474i
$153$	1.24033	−	1.93000i	0.100275	−	0.156031i
$154$	7.58606	−	27.2082i	0.611302	−	2.19250i
$155$	−2.09391	+	14.5635i	−0.168187	+	1.16977i
$156$	−6.15339	−	5.04374i	−0.492666	−	0.403822i
$157$	13.9633	−	2.00762i	1.11439	−	0.160226i	0.439573	−	0.898207i	$-0.355130\pi$
$157$	13.9633	−	2.00762i	1.11439	−	0.160226i	0.674821	+	0.737981i	$0.264221\pi$
$158$	0.164291	+	12.0003i	0.0130703	+	0.954691i
$159$	−6.24636	+	7.20869i	−0.495369	+	0.571686i
$160$	−18.4430	+	6.81694i	−1.45805	+	0.538926i
$161$	−16.5424	−	6.29437i	−1.30372	−	0.496066i
$162$	−0.748224	+	1.20007i	−0.0587860	+	0.0942862i
$163$	−1.46829	−	1.27228i	−0.115005	−	0.0996527i	0.595460	−	0.803385i	$-0.296970\pi$
$163$	−1.46829	−	1.27228i	−0.115005	−	0.0996527i	−0.710465	+	0.703732i	$0.751515\pi$
$164$	−20.4048	−	12.3374i	−1.59335	−	0.963391i
$165$	−2.67707	−	18.6194i	−0.208410	−	1.44952i
$166$	−8.49648	−	1.10312i	−0.659455	−	0.0856184i
$167$	22.1440	+	3.18383i	1.71356	+	0.246372i	0.928043	−	0.372473i	$-0.121490\pi$
$167$	22.1440	+	3.18383i	1.71356	+	0.246372i	0.785513	+	0.618845i	$0.212399\pi$
$168$	−1.90853	−	10.2626i	−0.147246	−	0.791777i
$169$	2.37727	+	1.52778i	0.182867	+	0.117522i
$170$	6.22631	+	9.40278i	0.477536	+	0.721161i
$171$	2.86730	+	0.841917i	0.219268	+	0.0643830i
$172$	1.81827	−	4.28841i	0.138642	−	0.326988i
$173$	−0.364092	−	0.420185i	−0.0276814	−	0.0319460i	0.741740	−	0.670687i	$-0.234001\pi$
$173$	−0.364092	−	0.420185i	−0.0276814	−	0.0319460i	−0.769421	+	0.638741i	$0.779455\pi$
$174$	−4.32811	−	4.85888i	−0.328113	−	0.368351i
$175$	10.8571	−	23.7738i	0.820721	−	1.79713i
$176$	20.4056	−	7.22644i	1.53813	−	0.544713i
$177$	−0.595553	+	0.174870i	−0.0447645	+	0.0131441i
$178$	11.3604	−	13.4790i	0.851494	−	1.01030i
$179$	−16.9501	+	7.74084i	−1.26691	+	0.578577i	−0.931584	−	0.363526i	$-0.881573\pi$
$179$	−16.9501	+	7.74084i	−1.26691	+	0.578577i	−0.335323	+	0.942103i	$0.608846\pi$
$180$	−3.91709	−	5.74310i	−0.291963	−	0.428065i
$181$	−5.11318	−	7.95627i	−0.380060	−	0.591385i	0.597545	−	0.801836i	$-0.296143\pi$
$181$	−5.11318	−	7.95627i	−0.380060	−	0.591385i	−0.977604	+	0.210451i	$0.932507\pi$
$182$	6.12185	+	19.8402i	0.453781	+	1.47065i
$183$	−9.72150			−0.718634
$184$	−3.33867	−	13.1474i	−0.246130	−	0.969237i
$185$	−16.7055			−1.22821
$186$	−1.76501	−	5.72019i	−0.129417	−	0.419425i
$187$	−6.71250	−	10.4448i	−0.490866	−	0.763803i
$188$	−7.32865	−	10.7450i	−0.534496	−	0.783660i
$189$	3.35708	−	1.53313i	0.244192	−	0.111519i
$190$	−9.46679	+	11.2323i	−0.686793	+	0.814879i
$191$	0.634964	−	0.186442i	0.0459444	−	0.0134905i	−0.258680	−	0.965963i	$-0.583287\pi$
$191$	0.634964	−	0.186442i	0.0459444	−	0.0134905i	0.304624	+	0.952473i	$0.401469\pi$
$192$	5.59578	−	5.71727i	0.403841	−	0.412609i
$193$	−7.56691	+	16.5692i	−0.544678	+	1.19268i	0.414545	+	0.910029i	$0.363941\pi$
$193$	−7.56691	+	16.5692i	−0.544678	+	1.19268i	−0.959223	+	0.282650i	$0.908787\pi$
$194$	11.9453	+	13.4101i	0.857619	+	0.962792i
$195$	9.05517	+	10.4502i	0.648454	+	0.748356i
$196$	−5.16868	+	12.1904i	−0.369192	+	0.870744i
$197$	−10.4440	−	3.06663i	−0.744103	−	0.218488i	−0.112361	−	0.993667i	$-0.535841\pi$
$197$	−10.4440	−	3.06663i	−0.744103	−	0.218488i	−0.631742	+	0.775179i	$0.717660\pi$
$198$	4.22555	+	6.38130i	0.300297	+	0.453499i
$199$	1.71032	+	1.09916i	0.121242	+	0.0779173i	0.599856	−	0.800108i	$-0.295224\pi$
$199$	1.71032	+	1.09916i	0.121242	+	0.0779173i	−0.478614	+	0.878025i	$0.658861\pi$
$200$	19.6924	−	3.66218i	1.39246	−	0.258955i
$201$	0.491291	+	0.0706370i	0.0346530	+	0.00498235i
$202$	12.5266	+	1.62636i	0.881369	+	0.114430i
$203$	2.41664	+	16.8081i	0.169615	+	1.17970i
$204$	−3.92646	−	2.37406i	−0.274907	−	0.166218i
$205$	31.3186	+	27.1378i	2.18739	+	1.89538i
$206$	3.16442	−	5.07538i	0.220476	−	0.353618i
$207$	4.22424	−	2.27064i	0.293605	−	0.157820i
$208$	−9.74678	+	12.5783i	−0.675818	+	0.872150i
$209$	10.5908	−	12.2224i	0.732578	−	0.845440i
$210$	0.248345	+	18.1399i	0.0171374	+	1.25177i
$211$	12.4698	−	1.79289i	0.858457	−	0.123427i	0.300991	−	0.953627i	$-0.402683\pi$
$211$	12.4698	−	1.79289i	0.858457	−	0.123427i	0.557466	+	0.830200i	$0.311774\pi$
$212$	14.7540	+	12.0934i	1.01331	+	0.830575i
$213$	0.0933042	−	0.648945i	0.00639310	−	0.0444650i
$214$	1.47105	−	5.27607i	0.100559	−	0.360665i
$215$	−4.37661	+	6.81014i	−0.298483	+	0.464448i
$216$	2.44020	+	1.43018i	0.166035	+	0.0973114i
$217$	−4.40126	+	14.9893i	−0.298777	+	1.01754i
$218$	0.520940	+	3.30170i	0.0352825	+	0.223619i
$219$	−4.33802	+	3.75892i	−0.293136	+	0.254004i
$220$	−37.0783	+	6.37159i	−2.49982	+	0.429572i
$221$	8.30193	+	3.79136i	0.558448	+	0.255035i
$222$	6.14343	−	2.90790i	0.412320	−	0.195165i
$223$	4.35169	+	14.8205i	0.291411	+	0.992454i	0.966915	+	0.255098i	$0.0821077\pi$
$223$	4.35169	+	14.8205i	0.291411	+	0.992454i	−0.675505	+	0.737356i	$0.736074\pi$
$224$	−20.4130	+	4.37753i	−1.36390	+	0.292486i
$225$	2.94184	+	6.44173i	0.196123	+	0.429449i
$226$	4.47845	−	10.1727i	0.297902	−	0.676679i
$227$	12.0757	−	7.76056i	0.801490	−	0.515086i	−0.0746117	−	0.997213i	$-0.523772\pi$
$227$	12.0757	−	7.76056i	0.801490	−	0.515086i	0.876102	+	0.482126i	$0.160135\pi$
$228$	1.52621	−	5.77856i	0.101076	−	0.382694i
$229$		−	13.6251i		−	0.900374i	−0.892934	−	0.450187i	$-0.851357\pi$
$229$		−	13.6251i		−	0.900374i	0.892934	−	0.450187i	$-0.148643\pi$
$230$	1.84884	+	23.5019i	0.121909	+	1.54967i
$231$		−	19.9729i		−	1.31412i
$232$	−9.47715	+	8.91901i	−0.622205	+	0.585562i
$233$	1.79308	−	1.15234i	0.117469	−	0.0754925i	−0.480587	−	0.876947i	$-0.659576\pi$
$233$	1.79308	−	1.15234i	0.117469	−	0.0754925i	0.598056	+	0.801454i	$0.295940\pi$
$234$	−5.14909	−	2.26684i	−0.336607	−	0.148188i
$235$	9.39010	+	20.5614i	0.612542	+	1.34128i
$236$	0.382217	+	1.18109i	0.0248802	+	0.0768821i
$237$	2.39086	+	8.14252i	0.155303	+	0.528914i
$238$	5.12283	+	10.8228i	0.332064	+	0.701541i
$239$	−21.2458	−	9.70263i	−1.37428	−	0.627611i	−0.414933	−	0.909852i	$-0.636195\pi$
$239$	−21.2458	−	9.70263i	−1.37428	−	0.627611i	−0.959344	+	0.282241i	$0.908922\pi$
$240$	−11.2674	+	8.14569i	−0.727309	+	0.525802i
$241$	−13.4128	+	11.6222i	−0.863994	+	0.748655i	−0.969325	−	0.245782i	$-0.920955\pi$
$241$	−13.4128	+	11.6222i	−0.863994	+	0.748655i	0.105331	+	0.994437i	$0.466410\pi$
$242$	25.5473	−	4.03084i	1.64224	−	0.259112i
$243$	−0.281733	+	0.959493i	−0.0180732	+	0.0615515i
$244$	0.532272	+	19.4357i	0.0340752	+	1.24424i
$245$	12.4411	−	19.3588i	0.794835	−	1.23679i
$246$	−16.2413	−	4.52831i	−1.03550	−	0.288714i
$247$	−1.69187	+	11.7672i	−0.107651	+	0.748728i
$248$	−11.3395	+	3.84188i	−0.720056	+	0.243960i
$249$	−5.99668	+	0.862192i	−0.380024	+	0.0546392i
$250$	−10.2318	+	0.140080i	−0.647118	+	0.00885942i
$251$	12.3069	−	14.2029i	0.776805	−	0.896480i	−0.220070	−	0.975484i	$-0.570628\pi$
$251$	12.3069	−	14.2029i	0.776805	−	0.896480i	0.996874	+	0.0790038i	$0.0251739\pi$
$252$	−3.24891	−	6.62770i	−0.204662	−	0.417506i
$253$	−1.68108	−	25.8998i	−0.105689	−	1.62831i
$254$	14.7109	+	9.17200i	0.923041	+	0.575502i
$255$	6.02658	+	5.22206i	0.377399	+	0.327018i
$256$	−11.7366	−	10.8743i	−0.733540	−	0.679646i
$257$	2.09874	+	14.5970i	0.130916	+	0.910539i	0.944364	+	0.328902i	$0.106679\pi$
$257$	2.09874	+	14.5970i	0.130916	+	0.910539i	−0.813448	+	0.581637i	$0.802412\pi$
$258$	0.424066	−	3.26626i	0.0264012	−	0.203348i
$259$	−17.5569	−	2.52430i	−1.09093	−	0.156852i
$260$	20.3968	−	18.6757i	1.26496	−	1.15822i
$261$	−3.87074	−	2.48757i	−0.239593	−	0.153977i
$262$	1.45120	−	0.960955i	0.0896557	−	0.0593680i
$263$	−16.4433	−	4.82819i	−1.01394	−	0.297719i	−0.267774	−	0.963482i	$-0.586288\pi$
$263$	−16.4433	−	4.82819i	−1.01394	−	0.297719i	−0.746163	+	0.665763i	$0.768106\pi$
$264$	12.5265	−	8.79733i	0.770950	−	0.541438i
$265$	−21.7116	−	25.0565i	−1.33373	−	1.53921i
$266$	−11.6465	+	10.3743i	−0.714096	+	0.636090i
$267$	5.17806	−	11.3384i	0.316892	−	0.693897i
$268$	0.114322	−	0.986081i	0.00698331	−	0.0602345i
$269$	−11.1364	+	3.26993i	−0.678995	+	0.199371i	−0.603005	−	0.797737i	$-0.706030\pi$
$269$	−11.1364	+	3.26993i	−0.678995	+	0.199371i	−0.0759906	+	0.997109i	$0.524212\pi$
$270$	−3.75870	−	3.16789i	−0.228747	−	0.192792i
$271$	23.9802	−	10.9514i	1.45669	−	0.665250i	0.479489	−	0.877548i	$-0.340822\pi$
$271$	23.9802	−	10.9514i	1.45669	−	0.665250i	0.977205	+	0.212298i	$0.0680947\pi$
$272$	−4.53137	+	7.97995i	−0.274755	+	0.483856i
$273$	7.93759	+	12.3511i	0.480405	+	0.747524i
$274$	−2.56844	+	0.792510i	−0.155165	+	0.0478773i
$275$	38.3250			2.31109
$276$	−4.77086	−	8.32099i	−0.287172	−	0.500865i
$277$	22.5519			1.35501			0.677505	−	0.735518i	$-0.263061\pi$
$277$	22.5519			1.35501			0.677505	+	0.735518i	$0.263061\pi$
$278$	5.18774	−	1.60072i	0.311140	−	0.0960046i
$279$	−2.28851	−	3.56099i	−0.137009	−	0.213191i
$280$	36.2525	−	1.48970i	2.16650	−	0.0890265i
$281$	−17.4791	+	7.98245i	−1.04272	+	0.476193i	−0.861770	−	0.507300i	$-0.830644\pi$
$281$	−17.4791	+	7.98245i	−1.04272	+	0.476193i	−0.180948	+	0.983493i	$0.557916\pi$
$282$	−7.03231	−	5.92694i	−0.418768	−	0.352944i
$283$	11.7015	−	3.43586i	0.695579	−	0.204240i	0.0852163	−	0.996362i	$-0.472842\pi$
$283$	11.7015	−	3.43586i	0.695579	−	0.204240i	0.610363	+	0.792122i	$0.291024\pi$
$284$	−1.30251	−	0.151007i	−0.0772899	−	0.00896064i
$285$	−4.31497	+	9.44847i	−0.255597	+	0.559679i
$286$	−22.7352	+	20.2517i	−1.34436	+	1.19751i
$287$	28.8142	+	33.2533i	1.70085	+	1.96288i
$288$	2.72568	−	4.95688i	0.160612	−	0.292087i
$289$	−11.2613	−	3.30661i	−0.662428	−	0.194506i
$290$	18.8579	−	12.4873i	1.10738	−	0.733279i
$291$	10.6829	+	6.86551i	0.626245	+	0.402463i
$292$	7.75254	+	8.46699i	0.453683	+	0.495493i
$293$	−9.79617	−	1.40848i	−0.572298	−	0.0822841i	−0.149911	−	0.988699i	$-0.547899\pi$
$293$	−9.79617	−	1.40848i	−0.572298	−	0.0822841i	−0.422387	+	0.906415i	$0.638808\pi$
$294$	−1.20547	+	9.28481i	−0.0703042	+	0.541501i
$295$	−0.307039	−	2.13550i	−0.0178765	−	0.124334i
$296$	−6.14998	−	12.1230i	−0.357460	−	0.704637i
$297$	4.09000	+	3.54401i	0.237326	+	0.205644i
$298$	−27.1940	−	16.9551i	−1.57531	−	0.982181i
$299$	11.3326	+	15.3482i	0.655382	+	0.887609i
$300$	12.7176	−	6.23417i	0.734249	−	0.359930i
$301$	−5.62873	+	6.49590i	−0.324434	+	0.374417i
$302$	−17.0578	+	0.233532i	−0.981568	+	0.0134382i
$303$	8.84108	−	1.27116i	0.507907	−	0.0730260i
$304$	−11.6363	−	2.73489i	−0.667390	−	0.156857i
$305$	4.80891	−	33.4467i	0.275358	−	1.91515i
$306$	−3.12527	−	0.871373i	−0.178660	−	0.0498131i
$307$	−0.187693	+	0.292057i	−0.0107122	+	0.0166686i	−0.846568	−	0.532280i	$-0.821335\pi$
$307$	−0.187693	+	0.292057i	−0.0107122	+	0.0166686i	0.835856	+	0.548949i	$0.184972\pi$
$308$	−39.9309	+	1.09356i	−2.27527	+	0.0623113i
$309$	1.19152	−	4.05793i	0.0677829	−	0.230848i
$310$	20.5534	−	3.24290i	1.16735	−	0.184184i
$311$	−10.6679	+	9.24375i	−0.604919	+	0.524165i	−0.902589	−	0.430504i	$-0.858336\pi$
$311$	−10.6679	+	9.24375i	−0.604919	+	0.524165i	0.297670	+	0.954669i	$0.403790\pi$
$312$	−4.25007	+	10.4184i	−0.240613	+	0.589828i
$313$	−8.31033	−	3.79520i	−0.469727	−	0.214517i	0.166466	−	0.986047i	$-0.446765\pi$
$313$	−8.31033	−	3.79520i	−0.469727	−	0.214517i	−0.636193	+	0.771530i	$0.719492\pi$
$314$	−8.53525	−	18.0322i	−0.481672	−	1.01761i
$315$	3.61407	+	12.3084i	0.203630	+	0.693499i
$316$	16.1480	−	5.22575i	0.908398	−	0.293971i
$317$	−9.88526	−	21.6457i	−0.555211	−	1.21574i	−0.954305	−	0.298833i	$-0.903403\pi$
$317$	−9.88526	−	21.6457i	−0.555211	−	1.21574i	0.399094	−	0.916910i	$-0.369325\pi$
$318$	12.3460	+	5.43521i	0.692328	+	0.304791i
$319$	−20.9479	+	13.4624i	−1.17285	+	0.753748i
$320$	16.9022	+	22.0804i	0.944861	+	1.23433i
$321$		−	3.87304i		−	0.216172i
$322$	−1.60821	+	24.9791i	−0.0896223	+	1.39203i
$323$			6.85585i			0.381470i
$324$	1.93369	+	0.510720i	0.107427	+	0.0283733i
$325$	−23.7000	+	15.2310i	−1.31464	+	0.844866i
$326$	−1.10706	+	2.51467i	−0.0613145	+	0.139275i
$327$	0.981847	+	2.14994i	0.0542962	+	0.118892i
$328$	−8.16398	+	32.7183i	−0.450780	+	1.80656i
$329$	6.76172	+	23.0283i	0.372785	+	1.26959i
$330$	−24.0451	+	11.3814i	−1.32364	+	0.626523i
$331$	−1.39365	−	0.636458i	−0.0766018	−	0.0349829i	0.376746	−	0.926317i	$-0.377043\pi$
$331$	−1.39365	−	0.636458i	−0.0766018	−	0.0349829i	−0.453348	+	0.891334i	$0.649770\pi$
$332$	2.05207	+	11.9417i	0.112622	+	0.655384i
$333$	3.63222	−	3.14734i	0.199045	−	0.172473i
$334$	−4.93089	−	31.2518i	−0.269806	−	1.71002i
$335$	−0.486052	+	1.65534i	−0.0265559	+	0.0904409i
$336$	−13.0725	+	6.85827i	−0.713166	+	0.374149i
$337$	14.3940	−	22.3974i	0.784089	−	1.22007i	−0.187238	−	0.982315i	$-0.559953\pi$
$337$	14.3940	−	22.3974i	0.784089	−	1.22007i	0.971326	−	0.237751i	$-0.0764102\pi$
$338$	1.07331	−	3.84956i	0.0583806	−	0.209388i
$339$	1.11851	−	7.77941i	0.0607491	−	0.422520i
$340$	10.1102	−	12.3346i	0.548305	−	0.668936i
$341$	−22.6750	+	3.26017i	−1.22792	+	0.176548i
$342$	−0.0578533	−	4.22578i	−0.00312835	−	0.228504i
$343$	−0.917300	+	1.05862i	−0.0495295	+	0.0571601i
$344$	−6.55329	−	0.668979i	−0.353330	−	0.0360689i
$345$	5.72251	+	15.6567i	0.308090	+	0.842927i
$346$	−0.416000	+	0.667218i	−0.0223643	+	0.0358699i
$347$	−13.3101	−	11.5333i	−0.714524	−	0.619139i	0.219808	−	0.975543i	$-0.429457\pi$
$347$	−13.3101	−	11.5333i	−0.714524	−	0.619139i	−0.934332	+	0.356405i	$0.884002\pi$
$348$	−4.76135	+	7.87477i	−0.255235	+	0.422132i
$349$	−1.34625	−	9.36340i	−0.0720633	−	0.501211i	−0.993603	−	0.112928i	$-0.963977\pi$
$349$	−1.34625	−	9.36340i	−0.0720633	−	0.501211i	0.921540	−	0.388284i	$-0.126932\pi$
$350$	−36.6537	−	4.75883i	−1.95922	−	0.254370i
$351$	−3.93768	−	0.566153i	−0.210178	−	0.0302190i
$352$	−18.2739	−	24.5618i	−0.974003	−	1.30915i
$353$	14.8213	+	9.52508i	0.788859	+	0.506969i	0.871963	−	0.489572i	$-0.162847\pi$
$353$	14.8213	+	9.52508i	0.788859	+	0.506969i	−0.0831038	+	0.996541i	$0.526483\pi$
$354$	0.484637	+	0.731884i	0.0257582	+	0.0388992i
$355$	2.18654	+	0.642025i	0.116049	+	0.0340751i
$356$	−22.9518	−	9.73144i	−1.21644	−	0.515765i
$357$	5.54465	+	6.39887i	0.293454	+	0.338664i
$358$	17.5282	+	19.6777i	0.926394	+	1.04000i
$359$	−2.06181	+	4.51474i	−0.108818	+	0.238279i	−0.956205	−	0.292697i	$-0.905447\pi$
$359$	−2.06181	+	4.51474i	−0.108818	+	0.238279i	0.847387	+	0.530976i	$0.178175\pi$
$360$	−6.12761	+	7.68803i	−0.322954	+	0.405195i
$361$	9.66184	−	2.83697i	0.508518	−	0.149314i
$362$	−8.61964	+	10.2272i	−0.453038	+	0.537529i
$363$	16.6355	−	7.59717i	0.873136	−	0.398748i
$364$	24.2584	−	16.5455i	1.27149	−	0.867218i
$365$	−10.7867	−	16.7844i	−0.564599	−	0.878533i
$366$	4.05355	+	13.1371i	0.211883	+	0.686688i
$367$	32.7314			1.70856			0.854281	−	0.519811i	$-0.173998\pi$
$367$	32.7314			1.70856			0.854281	+	0.519811i	$0.173998\pi$
$368$	−16.3745	+	9.99373i	−0.853582	+	0.520959i
$369$	−11.9223			−0.620652
$370$	6.96564	+	22.5749i	0.362126	+	1.17361i
$371$	−19.0319	−	29.6143i	−0.988089	−	1.53750i
$372$	−6.99401	+	4.77027i	−0.362623	+	0.247327i
$373$	16.0365	−	7.32363i	0.830339	−	0.379203i	0.0455467	−	0.998962i	$-0.485497\pi$
$373$	16.0365	−	7.32363i	0.830339	−	0.379203i	0.784792	+	0.619759i	$0.212770\pi$
$374$	−11.3157	+	13.4261i	−0.585122	+	0.694246i
$375$	−6.94258	+	2.03853i	−0.358513	+	0.105269i
$376$	−11.4644	+	14.3839i	−0.591232	+	0.741791i
$377$	7.60384	−	16.6501i	0.391618	−	0.857523i
$378$	−3.47158	−	3.89731i	−0.178559	−	0.200456i
$379$	−16.8683	−	19.4670i	−0.866464	−	0.999953i	−0.999960	−	0.00890363i	$-0.997166\pi$
$379$	−16.8683	−	19.4670i	−0.866464	−	0.999953i	0.133496	−	0.991049i	$-0.457380\pi$
$380$	19.1261	+	8.10939i	0.981149	+	0.416003i
$381$	11.7618	+	3.45358i	0.602576	+	0.176932i
$382$	−0.516708	−	0.780316i	−0.0264371	−	0.0399244i
$383$	−10.7656	−	6.91861i	−0.550095	−	0.353524i	0.235881	−	0.971782i	$-0.424202\pi$
$383$	−10.7656	−	6.91861i	−0.550095	−	0.353524i	−0.785976	+	0.618258i	$0.787839\pi$
$384$	−10.0593	−	5.17792i	−0.513336	−	0.264235i
$385$	68.7167	+	9.87997i	3.50213	+	0.503530i
$386$	25.5459	+	3.31668i	1.30025	+	0.168815i
$387$	−0.331448	−	2.30527i	−0.0168485	−	0.117184i
$388$	13.1410	−	21.7338i	0.667131	−	1.10337i
$389$	15.8405	+	13.7259i	0.803147	+	0.695930i	0.956337	−	0.292266i	$-0.0944093\pi$
$389$	15.8405	+	13.7259i	0.803147	+	0.695930i	−0.153190	+	0.988197i	$0.548955\pi$
$390$	10.3462	−	16.5941i	0.523898	−	0.840274i
$391$	7.72859	+	7.83103i	0.390852	+	0.396032i
$392$	18.6287	+	1.90167i	0.940889	+	0.0960487i
$393$	0.805962	−	0.930130i	0.0406554	−	0.0469188i
$394$	0.210727	+	15.3921i	0.0106163	+	0.775444i
$395$	−29.1970	+	4.19789i	−1.46906	+	0.211219i
$396$	6.86143	−	8.37098i	0.344800	−	0.420658i
$397$	0.429884	−	2.98991i	0.0215753	−	0.150059i	−0.976186	−	0.216935i	$-0.930394\pi$
$397$	0.429884	−	2.98991i	0.0215753	−	0.150059i	0.997761	+	0.0668758i	$0.0213031\pi$
$398$	0.772194	−	2.76956i	0.0387066	−	0.138825i
$399$	−5.96261	+	9.27801i	−0.298504	+	0.464481i
$400$	−13.1600	−	25.0842i	−0.657999	−	1.25421i
$401$	5.60933	−	19.1036i	0.280117	−	0.953990i	−0.692469	−	0.721447i	$-0.743477\pi$
$401$	5.60933	−	19.1036i	0.280117	−	0.953990i	0.972586	−	0.232543i	$-0.0747046\pi$
$402$	−0.109398	−	0.693358i	−0.00545625	−	0.0345815i
$403$	12.7264	−	11.0275i	0.633947	−	0.549318i
$404$	−3.02542	−	17.6059i	−0.150520	−	0.875928i
$405$	−3.16176	−	1.44393i	−0.157109	−	0.0717494i
$406$	21.7059	−	10.2742i	1.07725	−	0.509899i
$407$	−7.32786	−	24.9564i	−0.363229	−	1.23704i
$408$	−1.57098	+	6.29591i	−0.0777750	+	0.311694i
$409$	−9.97118	−	21.8338i	−0.493043	−	1.07961i	−0.978668	−	0.205447i	$-0.934135\pi$
$409$	−9.97118	−	21.8338i	−0.493043	−	1.07961i	0.485625	−	0.874167i	$-0.338592\pi$
$410$	23.6136	−	53.6379i	1.16619	−	2.64899i
$411$	−1.59893	+	1.02757i	−0.0788693	+	0.0506862i
$412$	−8.17805	−	2.15996i	−0.402904	−	0.106413i
$413$		−	2.29073i		−	0.112720i
$414$	−4.82979	−	4.76163i	−0.237371	−	0.234021i
$415$		−	21.0580i		−	1.03370i
$416$	21.0618	+	7.92652i	1.03264	+	0.388629i
$417$	3.22952	−	2.07549i	0.158150	−	0.101637i
$418$	−20.9327	−	9.21544i	−1.02385	−	0.450742i
$419$	−0.000688577	−	0.00150777i	−3.36392e−5	−	7.36595e-5i	0.909615	−	0.415452i	$-0.136377\pi$
$419$	−0.000688577	−	0.00150777i	−3.36392e−5	−	7.36595e-5i	−0.909649	+	0.415378i	$0.863649\pi$
$420$	24.4097	−	7.89934i	1.19107	−	0.385448i
$421$	3.92385	+	13.3634i	0.191237	+	0.651292i	0.998160	+	0.0606358i	$0.0193128\pi$
$421$	3.92385	+	13.3634i	0.191237	+	0.651292i	−0.806923	+	0.590656i	$0.798869\pi$
$422$	−7.62232	−	16.1035i	−0.371049	−	0.783904i
$423$	−5.91548	−	2.70151i	−0.287620	−	0.131352i
$424$	10.1904	−	24.9803i	0.494889	−	1.21315i
$425$	−12.2785	+	10.6394i	−0.595593	+	0.516084i
$426$	−0.915854	+	0.144503i	−0.0443733	+	0.00700119i
$427$	10.1080	−	34.4247i	0.489161	−	1.66593i
$428$	−7.74318	+	0.212057i	−0.374281	+	0.0102502i
$429$	−11.6396	+	18.1116i	−0.561966	+	0.874436i
$430$	11.0278	+	3.07471i	0.531806	+	0.148276i
$431$	3.15367	−	21.9343i	0.151907	−	1.05654i	−0.761112	−	0.648621i	$-0.775346\pi$
$431$	3.15367	−	21.9343i	0.151907	−	1.05654i	0.913019	−	0.407917i	$-0.133745\pi$
$432$	0.915183	−	3.89390i	0.0440318	−	0.187345i
$433$	−35.4117	+	5.09143i	−1.70178	+	0.244679i	−0.923598	−	0.383363i	$-0.874766\pi$
$433$	−35.4117	+	5.09143i	−1.70178	+	0.244679i	−0.778180	+	0.628042i	$0.783857\pi$
$434$	22.0909	−	0.302438i	1.06040	−	0.0145175i
$435$	10.4732	−	12.0867i	0.502152	−	0.579514i
$436$	4.24452	−	2.08067i	0.203276	−	0.0996461i
$437$	−6.95109	+	12.5331i	−0.332516	+	0.599539i
$438$	6.88842	+	4.29482i	0.329141	+	0.205215i
$439$	5.66523	+	4.90895i	0.270387	+	0.234291i	0.779491	−	0.626414i	$-0.215478\pi$
$439$	5.66523	+	4.90895i	0.270387	+	0.234291i	−0.509104	+	0.860705i	$0.670023\pi$
$440$	24.0707	+	47.4489i	1.14753	+	2.26204i
$441$	0.942189	+	6.55307i	0.0448661	+	0.312051i
$442$	1.66181	−	12.7997i	0.0790441	−	0.608818i
$443$	−26.8186	−	3.85593i	−1.27419	−	0.183201i	−0.528178	−	0.849133i	$-0.677125\pi$
$443$	−26.8186	−	3.85593i	−1.27419	−	0.183201i	−0.746012	+	0.665933i	$0.768034\pi$
$444$	−6.49119	−	7.08940i	−0.308058	−	0.336448i
$445$	36.4482	+	23.4238i	1.72781	+	1.11040i
$446$	18.2131	−	12.0603i	0.862416	−	0.571072i
$447$	−21.7425	−	6.38418i	−1.02839	−	0.301961i
$448$	14.4271	+	25.7598i	0.681618	+	1.21704i
$449$	1.33722	+	1.54323i	0.0631073	+	0.0728297i	0.786425	−	0.617685i	$-0.211929\pi$
$449$	1.33722	+	1.54323i	0.0631073	+	0.0728297i	−0.723318	+	0.690515i	$0.757384\pi$
$450$	7.47836	−	6.66144i	0.352533	−	0.314023i
$451$	−26.8034	+	58.6912i	−1.26212	+	2.76366i
$452$	−15.6142	−	1.81024i	−0.734432	−	0.0851467i
$453$	−11.5742	+	3.39849i	−0.543804	+	0.159675i
$454$	−15.5224	−	13.0825i	−0.728501	−	0.613992i
$455$	−46.4204	+	21.1995i	−2.17622	+	0.993848i
$456$	−8.44521	+	0.347033i	−0.395483	+	0.0162513i
$457$	−16.1567	−	25.1403i	−0.755778	−	1.17601i	−0.979516	−	0.201365i	$-0.935462\pi$
$457$	−16.1567	−	25.1403i	−0.755778	−	1.17601i	0.223738	−	0.974649i	$-0.428174\pi$
$458$	−18.4123	+	5.68124i	−0.860349	+	0.265467i
$459$	−2.29419			−0.107084
$460$	30.9883	−	12.2980i	1.44484	−	0.573396i
$461$	9.11842			0.424687			0.212343	−	0.977195i	$-0.431890\pi$
$461$	9.11842			0.424687			0.212343	+	0.977195i	$0.431890\pi$
$462$	−26.9903	+	8.32807i	−1.25570	+	0.387457i
$463$	3.52178	+	5.47999i	0.163671	+	0.254677i	0.913396	−	0.407073i	$-0.133451\pi$
$463$	3.52178	+	5.47999i	0.163671	+	0.254677i	−0.749725	+	0.661750i	$0.769814\pi$
$464$	16.0043	+	9.08797i	0.742983	+	0.421898i
$465$	13.3836	−	6.11209i	0.620650	−	0.283441i
$466$	−2.30487	−	1.94258i	−0.106771	−	0.0899885i
$467$	7.49576	−	2.20095i	0.346862	−	0.101848i	−0.103661	−	0.994613i	$-0.533056\pi$
$467$	7.49576	−	2.20095i	0.346862	−	0.101848i	0.450523	+	0.892765i	$0.351237\pi$
$468$	−0.916286	+	7.90341i	−0.0423553	+	0.365335i
$469$	−0.760956	+	1.66626i	−0.0351377	+	0.0769408i
$470$	23.8703	−	21.2627i	1.10105	−	0.980777i
$471$	−9.23805	−	10.6613i	−0.425667	−	0.491246i
$472$	1.43668	−	1.00898i	0.0661287	−	0.0464422i
$473$	−12.0935	−	3.55098i	−0.556061	−	0.163274i
$474$	10.0065	−	6.62605i	0.459612	−	0.304345i
$475$	−17.8031	−	11.4414i	−0.816862	−	0.524966i
$476$	12.4894	−	11.4355i	0.572449	−	0.524145i
$477$	9.44137	+	1.35746i	0.432291	+	0.0621540i
$478$	−4.25280	+	32.7561i	−0.194518	+	1.49823i
$479$	2.04065	+	14.1930i	0.0932395	+	0.648495i	0.981826	+	0.189785i	$0.0607792\pi$
$479$	2.04065	+	14.1930i	0.0932395	+	0.648495i	−0.888586	+	0.458710i	$0.848312\pi$
$480$	15.7058	+	11.8297i	0.716868	+	0.539950i
$481$	14.4496	+	12.5207i	0.658846	+	0.570893i
$482$	21.2984	+	13.2792i	0.970115	+	0.604852i
$483$	3.64834	+	17.3194i	0.166005	+	0.788058i
$484$	−16.0995	−	32.8425i	−0.731794	−	1.49284i
$485$	−28.9053	+	33.3584i	−1.31252	+	1.51473i
$486$	1.41408	−	0.0193596i	0.0641440	−	0.000878169i
$487$	7.07595	−	1.01737i	0.320642	−	0.0461014i	0.0198853	−	0.999802i	$-0.493670\pi$
$487$	7.07595	−	1.01737i	0.320642	−	0.0461014i	0.300757	+	0.953701i	$0.402761\pi$
$488$	26.0424	−	8.82335i	1.17889	−	0.399414i
$489$	−0.276493	+	1.92305i	−0.0125034	+	0.0869634i
$490$	−31.3480	−	8.74030i	−1.41616	−	0.394846i
$491$	−13.2091	+	20.5537i	−0.596117	+	0.927576i	0.403802	+	0.914847i	$0.367689\pi$
$491$	−13.2091	+	20.5537i	−0.596117	+	0.927576i	−0.999919	+	0.0127300i	$0.995948\pi$
$492$	0.652772	+	23.8357i	0.0294292	+	1.07460i
$493$	2.97395	−	10.1283i	0.133940	−	0.456157i
$494$	16.6070	−	2.62024i	0.747185	−	0.117890i
$495$	−14.2163	+	12.3185i	−0.638977	+	0.553676i
$496$	9.91991	+	13.7216i	0.445417	+	0.616118i
$497$	2.20096	+	1.00515i	0.0987266	+	0.0450869i
$498$	3.66554	+	7.74409i	0.164257	+	0.347021i
$499$	10.7609	+	36.6484i	0.481725	+	1.64061i	0.738587	+	0.674158i	$0.235493\pi$
$499$	10.7609	+	36.6484i	0.481725	+	1.64061i	−0.256862	+	0.966448i	$0.582689\pi$
$500$	4.45565	+	13.7683i	0.199263	+	0.615739i
$501$	−9.29355	−	20.3500i	−0.415205	−	0.909173i
$502$	−24.3247	−	10.7087i	−1.08566	−	0.477954i
$503$	19.9236	−	12.8041i	0.888350	−	0.570908i	−0.0149638	−	0.999888i	$-0.504763\pi$
$503$	19.9236	−	12.8041i	0.888350	−	0.570908i	0.903314	+	0.428980i	$0.141127\pi$
$504$	−7.60163	+	7.15394i	−0.338603	+	0.318662i
$505$			31.0465i			1.38155i
$506$	−34.2987	+	13.0711i	−1.52476	+	0.581083i
$507$		−	2.82587i		−	0.125501i
$508$	6.26059	−	23.7039i	0.277769	−	1.05169i
$509$	12.2235	−	7.85554i	0.541795	−	0.348191i	−0.240945	−	0.970539i	$-0.577458\pi$
$509$	12.2235	−	7.85554i	0.541795	−	0.348191i	0.782741	+	0.622348i	$0.213821\pi$
$510$	4.54393	−	10.3214i	0.201208	−	0.457041i
$511$	−8.80019	−	19.2697i	−0.389297	−	0.852442i
$512$	−9.80120	+	20.3945i	−0.433156	+	0.901319i
$513$	−0.841917	−	2.86730i	−0.0371715	−	0.126595i
$514$	18.8506	−	8.92263i	0.831463	−	0.393560i
$515$	13.3719	+	6.10673i	0.589235	+	0.269095i
$516$	−4.59067	+	0.788866i	−0.202093	+	0.0347279i
$517$	−26.5979	+	23.0472i	−1.16978	+	1.01362i
$518$	3.90945	+	24.7780i	0.171772	+	1.08868i
$519$	−0.156639	+	0.533463i	−0.00687568	+	0.0234164i
$520$	−33.7422	−	19.7760i	−1.47969	−	0.867235i
$521$	14.6437	−	22.7861i	0.641554	−	0.998278i	−0.356399	−	0.934334i	$-0.615996\pi$
$521$	14.6437	−	22.7861i	0.641554	−	0.998278i	0.997953	−	0.0639440i	$-0.0203679\pi$
$522$	−1.74760	+	6.26795i	−0.0764903	+	0.274341i
$523$	1.01048	−	7.02807i	0.0441854	−	0.307316i	−0.955729	−	0.294248i	$-0.904931\pi$
$523$	1.01048	−	7.02807i	0.0441854	−	0.307316i	0.999915	−	0.0130685i	$-0.00415995\pi$
$524$	−1.90369	−	1.56039i	−0.0831631	−	0.0681661i
$525$	−25.8696	+	3.71948i	−1.12904	+	0.162332i
$526$	0.331775	+	24.2338i	0.0144661	+	1.05664i
$527$	6.35949	−	7.33924i	0.277024	−	0.319702i
$528$	−17.1114	−	13.2594i	−0.744677	−	0.577040i
$529$	6.18872	+	22.1517i	0.269075	+	0.963119i
$530$	−24.8070	+	39.7876i	−1.07755	+	1.72826i
$531$	0.469091	+	0.406469i	0.0203568	+	0.0176393i
$532$	18.8755	+	11.4128i	0.818358	+	0.494806i
$533$	−6.74987	−	46.9464i	−0.292369	−	2.03347i
$534$	−17.4812	−	2.26962i	−0.756484	−	0.0982159i
$535$	13.3252	+	1.91587i	0.576097	+	0.0828303i
$536$	−1.38021	+	0.256676i	−0.0596158	+	0.0110867i
$537$	15.6759	+	10.0743i	0.676465	+	0.434738i
$538$	9.06231	+	13.6856i	0.390704	+	0.590029i
$539$	34.3776	+	10.0942i	1.48075	+	0.434787i
$540$	−2.71366	+	6.40022i	−0.116777	+	0.275421i
$541$	−20.4049	−	23.5485i	−0.877274	−	1.01243i	−0.999801	−	0.0199632i	$-0.993645\pi$
$541$	−20.4049	−	23.5485i	−0.877274	−	1.01243i	0.122526	−	0.992465i	$-0.460900\pi$
$542$	−24.7981	−	27.8392i	−1.06517	−	1.19580i
$543$	−3.92884	+	8.60297i	−0.168603	+	0.369189i
$544$	12.6731	+	2.79606i	0.543355	+	0.119880i
$545$	−7.88256	+	2.31453i	−0.337652	+	0.0991435i
$546$	13.3809	−	15.8765i	0.572651	−	0.679449i
$547$	−15.4667	+	7.06341i	−0.661309	+	0.302010i	−0.717652	−	0.696402i	$-0.754783\pi$
$547$	−15.4667	+	7.06341i	−0.661309	+	0.302010i	0.0563430	+	0.998411i	$0.482056\pi$
$548$	2.14191	+	3.14040i	0.0914979	+	0.134151i
$549$	5.25584	+	8.17824i	0.224314	+	0.349039i
$550$	−15.9803	−	51.7904i	−0.681403	−	2.20835i
$551$	13.7499			0.585765
$552$	−9.25525	+	9.91667i	−0.393930	+	0.422081i
$553$	−31.3194			−1.33183
$554$	−9.40341	−	30.4754i	−0.399513	−	1.29478i
$555$	9.03165	+	14.0535i	0.383372	+	0.596539i
$556$	−4.32624	−	6.34299i	−0.183474	−	0.269003i
$557$	−27.3285	+	12.4805i	−1.15795	+	0.528816i	−0.899376	−	0.437177i	$-0.855978\pi$
$557$	−27.3285	+	12.4805i	−1.15795	+	0.528816i	−0.258570	+	0.965993i	$0.583251\pi$
$558$	−3.85790	+	4.57739i	−0.163318	+	0.193776i
$559$	8.88978	−	2.61028i	0.375998	−	0.110403i
$560$	−17.1292	−	48.3686i	−0.723843	−	2.04394i
$561$	−5.15772	+	11.2938i	−0.217759	+	0.476826i
$562$	18.0753	+	20.2919i	0.762460	+	0.855964i
$563$	−22.1743	−	25.5905i	−0.934534	−	1.07851i	−0.996759	−	0.0804471i	$-0.974365\pi$
$563$	−22.1743	−	25.5905i	−0.934534	−	1.07851i	0.0622253	−	0.998062i	$-0.480180\pi$
$564$	−5.07711	+	11.9744i	−0.213785	+	0.504215i
$565$	26.2117	+	7.69645i	1.10273	+	0.323792i
$566$	−9.52216	−	14.3801i	−0.400246	−	0.604440i
$567$	−3.10472	−	1.99528i	−0.130386	−	0.0837940i
$568$	0.339043	+	1.82311i	0.0142259	+	0.0764960i
$569$	−3.17571	−	0.456598i	−0.133133	−	0.0191416i	0.0754264	−	0.997151i	$-0.475968\pi$
$569$	−3.17571	−	0.456598i	−0.133133	−	0.0191416i	−0.208559	+	0.978010i	$0.566877\pi$
$570$	14.5674	+	1.89131i	0.610160	+	0.0792184i
$571$	0.807350	+	5.61524i	0.0337865	+	0.234990i	0.999716	−	0.0238134i	$-0.00758076\pi$
$571$	0.807350	+	5.61524i	0.0337865	+	0.234990i	−0.965930	+	0.258804i	$0.916672\pi$
$572$	36.8469	+	22.2789i	1.54065	+	0.931526i
$573$	−0.500133	−	0.433367i	−0.0208933	−	0.0181042i
$574$	32.9222	−	52.8035i	1.37414	−	2.20397i
$575$	−33.2332	+	7.00062i	−1.38592	+	0.291946i
$576$	−7.83498	−	1.61648i	−0.326458	−	0.0673534i
$577$	−4.16342	+	4.80484i	−0.173325	+	0.200028i	−0.835765	−	0.549087i	$-0.814976\pi$
$577$	−4.16342	+	4.80484i	−0.173325	+	0.200028i	0.662440	+	0.749115i	$0.269521\pi$
$578$	0.227218	+	16.5966i	0.00945100	+	0.690329i
$579$	18.0299	−	2.59231i	0.749297	−	0.107733i
$580$	−24.7378	−	20.2768i	−1.02718	−	0.841948i
$581$	3.18200	−	22.1313i	0.132012	−	0.918160i
$582$	4.82324	−	17.2991i	0.199930	−	0.717069i
$583$	27.9083	−	43.4261i	1.15584	−	1.79853i
$584$	8.20927	−	14.0068i	0.339702	−	0.579607i
$585$	3.89569	−	13.2675i	0.161067	−	0.548544i
$586$	2.18135	+	13.8253i	0.0901107	+	0.571118i
$587$	−6.12906	+	5.31086i	−0.252973	+	0.219203i	−0.772110	−	0.635488i	$-0.780799\pi$
$587$	−6.12906	+	5.31086i	−0.252973	+	0.219203i	0.519137	+	0.854691i	$0.326253\pi$
$588$	13.0496	−	2.24246i	0.538158	−	0.0924777i
$589$	11.5065	+	5.25482i	0.474115	+	0.216521i
$590$	−2.75778	+	1.30535i	−0.113536	+	0.0537404i
$591$	3.06663	+	10.4440i	0.126144	+	0.429608i
$592$	−13.8181	+	13.3657i	−0.567919	+	0.549326i
$593$	15.1100	+	33.0863i	0.620494	+	1.35869i	0.915160	+	0.403092i	$0.132064\pi$
$593$	15.1100	+	33.0863i	0.620494	+	1.35869i	−0.294666	+	0.955600i	$0.595208\pi$
$594$	3.08378	−	7.00475i	0.126529	−	0.287408i
$595$	−24.7580	+	15.9110i	−1.01498	+	0.652288i
$596$	−11.5731	+	43.8183i	−0.474054	+	1.79487i
$597$		−	2.03307i		−	0.0832079i
$598$	16.0154	−	21.7140i	0.654918	−	0.887951i
$599$			14.2684i			0.582993i	0.956572	+	0.291496i	$0.0941531\pi$
$599$			14.2684i			0.582993i	−0.956572	+	0.291496i	$0.905847\pi$
$600$	−13.7273	−	14.5864i	−0.560416	−	0.595486i
$601$	26.3647	−	16.9435i	1.07544	−	0.691141i	0.121938	−	0.992538i	$-0.461089\pi$
$601$	26.3647	−	16.9435i	1.07544	−	0.691141i	0.953499	+	0.301396i	$0.0974527\pi$
$602$	11.1252	+	4.89778i	0.453430	+	0.199619i
$603$	−0.206188	−	0.451489i	−0.00839664	−	0.0183861i
$604$	7.42815	+	22.9537i	0.302247	+	0.933971i
$605$	17.9090	+	60.9923i	0.728103	+	2.47969i
$606$	−5.40422	−	11.4173i	−0.219531	−	0.463797i
$607$	15.3815	+	7.02452i	0.624318	+	0.285116i	0.702347	−	0.711835i	$-0.252135\pi$
$607$	15.3815	+	7.02452i	0.624318	+	0.285116i	−0.0780293	+	0.996951i	$0.524863\pi$
$608$	1.15620	+	16.8651i	0.0468901	+	0.683970i
$609$	12.8334	−	11.1202i	0.520034	−	0.450612i
$610$	−47.2033	+	7.44771i	−1.91121	+	0.301549i
$611$	7.28862	−	24.8227i	0.294866	−	1.00422i
$612$	0.125612	+	4.58666i	0.00507755	+	0.185405i
$613$	−9.30937	+	14.4857i	−0.376002	+	0.585070i	−0.976754	−	0.214365i	$-0.931232\pi$
$613$	−9.30937	+	14.4857i	−0.376002	+	0.585070i	0.600752	+	0.799436i	$0.294868\pi$
$614$	0.472932	+	0.131861i	0.0190860	+	0.00532146i
$615$	5.89760	−	41.0187i	0.237814	−	1.65403i
$616$	18.1277	+	53.5045i	0.730385	+	2.15576i
$617$	−22.1233	+	3.18085i	−0.890651	+	0.128056i	−0.572424	−	0.819958i	$-0.693997\pi$
$617$	−22.1233	+	3.18085i	−0.890651	+	0.128056i	−0.318228	+	0.948014i	$0.603088\pi$
$618$	−5.98049	+	0.0818764i	−0.240571	+	0.00329355i
$619$	−16.3451	+	18.8632i	−0.656963	+	0.758176i	−0.982278	−	0.187430i	$-0.939984\pi$
$619$	−16.3451	+	18.8632i	−0.656963	+	0.758176i	0.325315	+	0.945606i	$0.394530\pi$
$620$	−12.9524	−	26.4225i	−0.520180	−	1.06115i
$621$	−4.19398	−	2.32606i	−0.168299	−	0.0933415i
$622$	16.9397	+	10.5616i	0.679219	+	0.423483i
$623$	34.7663	+	30.1252i	1.39288	+	1.20694i
$624$	15.8511	+	1.39916i	0.634550	+	0.0560111i
$625$	1.45989	+	10.1537i	0.0583954	+	0.406149i
$626$	−1.66349	+	12.8126i	−0.0664864	+	0.512095i
$627$	−16.0079	−	2.30159i	−0.639295	−	0.0919167i
$628$	−20.8088	+	19.0529i	−0.830360	+	0.760294i
$629$	9.27579	+	5.96119i	0.369850	+	0.237688i
$630$	15.1260	−	10.0161i	0.602632	−	0.399050i
$631$	−31.6186	−	9.28407i	−1.25872	−	0.369593i	−0.416701	−	0.909044i	$-0.636814\pi$
$631$	−31.6186	−	9.28407i	−1.25872	−	0.369593i	−0.842017	+	0.539450i	$0.818632\pi$
$632$	−13.7950	−	19.6426i	−0.548736	−	0.781341i
$633$	−8.24996	−	9.52096i	−0.327907	−	0.378424i
$634$	−25.1290	+	22.3840i	−0.998000	+	0.888981i
$635$	−17.7002	+	38.7581i	−0.702411	+	1.53807i
$636$	2.19698	−	18.9500i	0.0871158	−	0.751416i
$637$	−25.2705	+	7.42008i	−1.00125	+	0.293994i
$638$	26.9269	+	22.6944i	1.06605	+	0.898481i
$639$	−0.596371	+	0.272354i	−0.0235921	+	0.0107741i
$640$	22.7906	−	32.0475i	0.900878	−	1.26679i
$641$	17.1502	+	26.6862i	0.677391	+	1.05404i	0.994407	+	0.105620i	$0.0336828\pi$
$641$	17.1502	+	26.6862i	0.677391	+	1.05404i	−0.317016	+	0.948420i	$0.602681\pi$
$642$	−5.23382	+	1.61493i	−0.206562	+	0.0637364i
$643$	−6.25154			−0.246537			−0.123268	−	0.992373i	$-0.539338\pi$
$643$	−6.25154			−0.246537			−0.123268	+	0.992373i	$0.539338\pi$
$644$	34.4260	−	8.24222i	1.35657	−	0.324789i
$645$	8.09523			0.318749
$646$	9.26463	−	2.85867i	0.364512	−	0.112473i
$647$	11.2430	+	17.4945i	0.442010	+	0.687781i	0.988759	−	0.149516i	$-0.0477714\pi$
$647$	11.2430	+	17.4945i	0.442010	+	0.687781i	−0.546750	+	0.837296i	$0.684135\pi$
$648$	−0.116129	−	2.82604i	−0.00456196	−	0.111017i
$649$	3.05556	−	1.39543i	0.119941	−	0.0547753i
$650$	30.4645	+	25.6760i	1.19492	+	1.00710i
$651$	14.9893	−	4.40126i	0.587477	−	0.172499i
$652$	3.85980	+	0.447488i	0.151161	+	0.0175250i
$653$	−2.06631	+	4.52458i	−0.0808609	+	0.177061i	−0.945744	−	0.324913i	$-0.894665\pi$
$653$	−2.06631	+	4.52458i	−0.0808609	+	0.177061i	0.864883	+	0.501973i	$0.167392\pi$
$654$	2.49592	−	2.22327i	0.0975983	−	0.0869369i
$655$	2.80142	+	3.23301i	0.109461	+	0.126324i
$656$	47.6178	−	2.61011i	1.85916	−	0.101908i
$657$	5.50752	+	1.61715i	0.214869	+	0.0630911i
$658$	28.2998	−	18.7395i	1.10324	−	0.730541i
$659$	1.34322	+	0.863235i	0.0523244	+	0.0336269i	0.566542	−	0.824033i	$-0.308281\pi$
$659$	1.34322	+	0.863235i	0.0523244	+	0.0336269i	−0.514217	+	0.857660i	$0.671917\pi$
$660$	25.4062	+	27.7475i	0.988934	+	1.08007i
$661$	−30.6061	−	4.40049i	−1.19044	−	0.171159i	−0.481510	−	0.876440i	$-0.659912\pi$
$661$	−30.6061	−	4.40049i	−1.19044	−	0.171159i	−0.708928	+	0.705281i	$0.750821\pi$
$662$	−0.278968	+	2.14868i	−0.0108424	+	0.0835110i
$663$	−1.29886	−	9.03379i	−0.0504437	−	0.350843i
$664$	15.2817	−	7.75235i	0.593044	−	0.300849i
$665$	−28.9714	−	25.1039i	−1.12346	−	0.973486i
$666$	−5.76767	−	3.59605i	−0.223492	−	0.139344i
$667$	15.7057	−	15.5002i	0.608126	−	0.600171i
$668$	−40.1760	+	19.6943i	−1.55446	+	0.761997i
$669$	10.1151	−	11.6734i	0.391072	−	0.451321i
$670$	2.43961	−	0.0333996i	0.0942502	−	0.00129034i
$671$	52.0758	−	7.48737i	2.01036	−	0.289047i
$672$	14.7187	+	14.8059i	0.567787	+	0.571148i
$673$	5.78187	−	40.2138i	0.222875	−	1.55013i	−0.504212	−	0.863580i	$-0.668217\pi$
$673$	5.78187	−	40.2138i	0.222875	−	1.55013i	0.727086	−	0.686546i	$-0.240874\pi$
$674$	−36.2685	−	10.1122i	−1.39701	−	0.389508i
$675$	3.82865	−	5.95749i	0.147365	−	0.229304i
$676$	−5.64963	+	0.154722i	−0.217293	+	0.00595086i
$677$	3.10237	−	10.5657i	0.119234	−	0.406073i	−0.878148	−	0.478389i	$-0.841221\pi$
$677$	3.10237	−	10.5657i	0.119234	−	0.406073i	0.997382	+	0.0723160i	$0.0230390\pi$
$678$	−10.9791	+	1.73227i	−0.421648	+	0.0665274i
$679$	−35.4191	+	30.6908i	−1.35926	+	1.17781i
$680$	−20.8839	−	8.51933i	−0.800862	−	0.326701i
$681$	−13.0572	−	5.96302i	−0.500353	−	0.228503i
$682$	13.8604	+	29.2823i	0.530740	+	1.12128i
$683$	−7.99778	−	27.2379i	−0.306026	−	1.04223i	−0.958659	−	0.284556i	$-0.908154\pi$
$683$	−7.99778	−	27.2379i	−0.306026	−	1.04223i	0.652633	−	0.757674i	$-0.273664\pi$
$684$	−5.68636	+	1.84019i	−0.217424	+	0.0703615i
$685$	−2.74440	−	6.00941i	−0.104858	−	0.229608i
$686$	1.81305	+	0.798179i	0.0692225	+	0.0304746i
$687$	−11.4622	+	7.36630i	−0.437310	+	0.281042i
$688$	1.82849	+	9.13471i	0.0697105	+	0.348257i
$689$			37.9457i			1.44561i
$690$	18.7715	−	14.2614i	0.714619	−	0.542923i
$691$			16.1354i			0.613819i	0.951739	+	0.306909i	$0.0992948\pi$
$691$			16.1354i			0.613819i	−0.951739	+	0.306909i	$0.900705\pi$
$692$	1.07510	+	0.283952i	0.0408692	+	0.0107942i
$693$	−16.8023	+	10.7982i	−0.638266	+	0.410189i
$694$	−10.0356	+	22.7956i	−0.380945	+	0.865308i
$695$	5.54316	+	12.1378i	0.210264	+	0.460414i
$696$	12.6269	+	3.15070i	0.478621	+	0.119427i
$697$	−7.70598	−	26.2441i	−0.291885	−	0.994068i
$698$	−12.0918	+	5.72349i	−0.457683	+	0.216637i
$699$	−1.93883	−	0.885432i	−0.0733331	−	0.0334901i
$700$	8.85259	+	51.5161i	0.334597	+	1.94713i
$701$	33.2387	−	28.8015i	1.25541	−	1.08782i	0.263006	−	0.964794i	$-0.415286\pi$
$701$	33.2387	−	28.8015i	1.25541	−	1.08782i	0.992404	−	0.123024i	$-0.0392593\pi$
$702$	0.876818	+	5.55724i	0.0330934	+	0.209745i
$703$	−4.04635	+	13.7806i	−0.152611	+	0.519745i
$704$	−25.5719	+	34.9359i	−0.963779	+	1.31670i
$705$	12.2207	−	19.0158i	0.460259	−	0.716177i
$706$	6.69167	−	24.0004i	0.251844	−	0.903267i
$707$	−4.69131	+	32.6288i	−0.176435	+	1.22713i
$708$	0.786950	−	0.960085i	0.0295754	−	0.0360822i
$709$	−5.32881	+	0.766167i	−0.200128	+	0.0287740i	−0.241650	−	0.970364i	$-0.577688\pi$
$709$	−5.32881	+	0.766167i	−0.200128	+	0.0287740i	0.0415219	+	0.999138i	$0.486779\pi$
$710$	−0.0441175	−	3.22247i	−0.00165570	−	0.120937i
$711$	5.55733	−	6.41350i	0.208416	−	0.240525i
$712$	−3.58040	+	35.0735i	−0.134181	+	1.31443i
$713$	19.0669	−	6.96894i	0.714060	−	0.260989i
$714$	6.33515	−	10.1609i	0.237087	−	0.380261i
$715$	−56.5550	−	49.0052i	−2.11504	−	1.83269i
$716$	19.2827	−	31.8916i	0.720630	−	1.19185i
$717$	3.32397	+	23.1187i	0.124136	+	0.863385i
$718$	6.96068	+	0.903721i	0.259770	+	0.0337266i
$719$	−39.7403	−	5.71379i	−1.48206	−	0.213088i	−0.646681	−	0.762761i	$-0.723843\pi$
$719$	−39.7403	−	5.71379i	−1.48206	−	0.213088i	−0.835380	+	0.549672i	$0.814753\pi$
$720$	12.9442	+	5.07487i	0.482402	+	0.189129i
$721$	13.1306	+	8.43854i	0.489010	+	0.314268i
$722$	−7.86241	−	11.8736i	−0.292609	−	0.441889i
$723$	17.0288	+	5.00009i	0.633306	+	0.185956i
$724$	17.4146	+	7.38371i	0.647208	+	0.274413i
$725$	21.3379	+	24.6253i	0.792471	+	0.914561i
$726$	−17.2029	−	19.3125i	−0.638458	−	0.716755i
$727$	19.6961	−	43.1284i	0.730487	−	1.59954i	−0.0681116	−	0.997678i	$-0.521697\pi$
$727$	19.6961	−	43.1284i	0.730487	−	1.59954i	0.798598	−	0.601865i	$-0.205575\pi$
$728$	−32.4736	−	25.8826i	−1.20355	−	0.959272i
$729$	0.959493	−	0.281733i	0.0355368	−	0.0104345i
$730$	−18.1838	+	21.5750i	−0.673012	+	0.798528i
$731$	4.86027	−	2.21961i	0.179764	−	0.0820953i
$732$	16.0626	−	10.9555i	0.593690	−	0.404927i
$733$	9.04066	+	14.0675i	0.333925	+	0.519597i	0.967095	−	0.254416i	$-0.0818831\pi$
$733$	9.04066	+	14.0675i	0.333925	+	0.519597i	−0.633170	+	0.774012i	$0.718247\pi$
$734$	−13.6479	−	44.2314i	−0.503754	−	1.63261i
$735$	−23.0118			−0.848805
$736$	20.3326	+	17.9606i	0.749471	+	0.662037i
$737$	−2.68613			−0.0989450
$738$	4.97123	+	16.1112i	0.182994	+	0.593062i
$739$	5.20767	+	8.10329i	0.191567	+	0.298084i	0.923729	−	0.383046i	$-0.125125\pi$
$739$	5.20767	+	8.10329i	0.191567	+	0.298084i	−0.732162	+	0.681131i	$0.761489\pi$
$740$	27.6020	−	18.8260i	1.01467	−	0.692057i
$741$	10.8139	−	4.93853i	0.397258	−	0.181422i
$742$	−32.0834	+	38.0669i	−1.17782	+	1.39748i
$743$	37.8466	−	11.1128i	1.38846	−	0.407688i	0.499753	−	0.866168i	$-0.333424\pi$
$743$	37.8466	−	11.1128i	1.38846	−	0.407688i	0.888704	+	0.458480i	$0.151606\pi$
$744$	9.36257	+	7.46228i	0.343249	+	0.273580i
$745$	32.7201	−	71.6470i	1.19877	−	2.62494i
$746$	−16.5835	−	18.6172i	−0.607164	−	0.681623i
$747$	3.96737	+	4.57859i	0.145159	+	0.167522i
$748$	22.8616	+	9.69321i	0.835902	+	0.354419i
$749$	13.7148	+	4.02703i	0.501128	+	0.147144i
$750$	5.64959	+	8.53184i	0.206294	+	0.311539i
$751$	19.7173	+	12.6715i	0.719494	+	0.462391i	0.848461	−	0.529258i	$-0.177530\pi$
$751$	19.7173	+	12.6715i	0.719494	+	0.462391i	−0.128967	+	0.991649i	$0.541166\pi$
$752$	24.2179	+	9.49478i	0.883135	+	0.346239i
$753$	−18.6019	−	2.67455i	−0.677890	−	0.0974658i
$754$	−25.6706	−	3.33287i	−0.934868	−	0.121376i
$755$	−5.96710	−	41.5021i	−0.217165	−	1.51042i
$756$	−3.81908	+	6.31636i	−0.138899	+	0.229724i
$757$	−5.77351	−	5.00278i	−0.209842	−	0.181829i	0.543598	−	0.839346i	$-0.317062\pi$
$757$	−5.77351	−	5.00278i	−0.209842	−	0.181829i	−0.753440	+	0.657517i	$0.771607\pi$
$758$	−19.2731	+	30.9120i	−0.700032	+	1.12277i
$759$	−20.8795	+	15.4167i	−0.757876	+	0.559592i
$760$	2.98361	−	29.2274i	0.108227	−	1.06019i
$761$	21.9413	−	25.3217i	0.795373	−	0.917909i	−0.202745	−	0.979232i	$-0.564986\pi$
$761$	21.9413	−	25.3217i	0.795373	−	0.917909i	0.998118	+	0.0613221i	$0.0195317\pi$
$762$	−0.237317	−	17.3343i	−0.00859708	−	0.627956i
$763$	−8.63404	+	1.24139i	−0.312573	+	0.0449413i
$764$	−0.839026	+	1.02362i	−0.0303549	+	0.0370332i
$765$	1.13486	−	7.89314i	0.0410311	−	0.285377i
$766$	−4.86054	+	17.4328i	−0.175618	+	0.629874i
$767$	−1.33497	+	2.07725i	−0.0482030	+	0.0750053i
$768$	−2.80277	+	15.7526i	−0.101136	+	0.568423i
$769$	−3.10433	+	10.5724i	−0.111945	+	0.381249i	−0.996339	−	0.0854918i	$-0.972754\pi$
$769$	−3.10433	+	10.5724i	−0.111945	+	0.381249i	0.884394	+	0.466741i	$0.154572\pi$
$770$	−15.3014	−	96.9797i	−0.551424	−	3.49491i
$771$	11.1452	−	9.65733i	0.401383	−	0.347800i
$772$	−6.16985	−	35.9043i	−0.222058	−	1.29223i
$773$	2.61462	+	1.19406i	0.0940414	+	0.0429473i	0.461880	−	0.886942i	$-0.347175\pi$
$773$	2.61462	+	1.19406i	0.0940414	+	0.0429473i	−0.367839	+	0.929890i	$0.619902\pi$
$774$	−2.97702	+	1.40913i	−0.107007	+	0.0506500i
$775$	8.44535	+	28.7622i	0.303366	+	1.03317i
$776$	−34.8492	−	8.69570i	−1.25101	−	0.312158i
$777$	7.36839	+	16.1345i	0.264339	+	0.578823i
$778$	11.9434	−	27.1293i	0.428193	−	0.972633i
$779$	29.9723	−	19.2620i	1.07387	−	0.690134i
$780$	−26.7384	−	7.06204i	−0.957387	−	0.252862i
$781$			3.54811i			0.126961i
$782$	7.35986	−	13.7093i	0.263188	−	0.490243i
$783$			4.60115i			0.164432i
$784$	−5.19774	−	25.9667i	−0.185634	−	0.927382i
$785$	41.2498	−	26.5097i	1.47227	−	0.946170i
$786$	−1.59299	−	0.701299i	−0.0568200	−	0.0250145i
$787$	−18.8778	−	41.3367i	−0.672922	−	1.47349i	−0.869972	−	0.493101i	$-0.835863\pi$
$787$	−18.8778	−	41.3367i	−0.672922	−	1.47349i	0.197050	−	0.980393i	$-0.436864\pi$
$788$	20.7122	−	6.70279i	0.737843	−	0.238777i
$789$	4.82819	+	16.4433i	0.171888	+	0.585397i
$790$	17.8470	+	37.7048i	0.634968	+	1.34148i
$791$	26.3846	+	12.0495i	0.938130	+	0.428430i
$792$	−14.1731	−	5.78173i	−0.503619	−	0.205445i
$793$	−29.2277	+	25.3260i	−1.03791	+	0.899351i
$794$	−4.21965	+	0.665774i	−0.149750	+	0.0236274i
$795$	−9.34069	+	31.8115i	−0.331280	+	1.12824i
$796$	−4.06461	+	0.111315i	−0.144066	+	0.00394544i
$797$	−10.2940	+	16.0177i	−0.364631	+	0.567377i	−0.974293	−	0.225285i	$-0.927669\pi$
$797$	−10.2940	+	16.0177i	−0.364631	+	0.567377i	0.609662	+	0.792661i	$0.291305\pi$
$798$	15.0240	+	4.18892i	0.531845	+	0.148286i
$799$	2.12326	−	14.7676i	0.0751156	−	0.522441i
$800$	−28.4102	+	28.2430i	−1.00445	+	0.998542i
$801$	−12.3379	+	1.77392i	−0.435939	+	0.0626786i
$802$	−28.1545	+	0.385452i	−0.994172	+	0.0136108i
$803$	20.3427	−	23.4767i	0.717879	−	0.828476i
$804$	−0.891351	+	0.436942i	−0.0314355	+	0.0154098i
$805$	−61.3918	+	3.98477i	−2.16378	+	0.140445i
$806$	−20.2085	−	12.5997i	−0.711813	−	0.443804i
$807$	8.77161	+	7.60064i	0.308775	+	0.267555i
$808$	−22.5302	+	11.4295i	−0.792610	+	0.402089i
$809$	−4.41963	−	30.7392i	−0.155386	−	1.08073i	−0.907001	−	0.421129i	$-0.861634\pi$
$809$	−4.41963	−	30.7392i	−0.155386	−	1.08073i	0.751615	−	0.659602i	$-0.229275\pi$
$810$	−0.632894	+	4.87471i	−0.0222376	+	0.171280i
$811$	−0.696104	−	0.100085i	−0.0244435	−	0.00351445i	0.130082	−	0.991503i	$-0.458476\pi$
$811$	−0.696104	−	0.100085i	−0.0244435	−	0.00351445i	−0.154526	+	0.987989i	$0.549385\pi$
$812$	−22.9347	−	25.0483i	−0.804849	−	0.879021i
$813$	−22.1776	−	14.2527i	−0.777802	−	0.499863i
$814$	−30.6693	+	20.3085i	−1.07496	+	0.711813i
$815$	−6.47947	−	1.90254i	−0.226966	−	0.0666432i
$816$	9.16301	−	0.502258i	0.320769	−	0.0175826i
$817$	4.55771	+	5.25988i	0.159454	+	0.184020i
$818$	−25.3474	+	22.5785i	−0.886252	+	0.789440i
$819$	6.09904	−	13.3550i	0.213118	−	0.466663i
$820$	−82.3296	−	9.54492i	−2.87507	−	0.333323i
$821$	−13.1563	+	3.86303i	−0.459157	+	0.134821i	−0.503128	−	0.864212i	$-0.667817\pi$
$821$	−13.1563	+	3.86303i	−0.459157	+	0.134821i	0.0439705	+	0.999033i	$0.485999\pi$
$822$	2.05530	+	1.73224i	0.0716869	+	0.0604189i
$823$	−3.29918	+	1.50669i	−0.115002	+	0.0525198i	−0.472085	−	0.881553i	$-0.656499\pi$
$823$	−3.29918	+	1.50669i	−0.115002	+	0.0525198i	0.357083	+	0.934073i	$0.383771\pi$
$824$	0.491136	+	11.9520i	0.0171095	+	0.416368i
$825$	−20.7201	−	32.2411i	−0.721381	−	1.12249i
$826$	−3.09558	+	0.955163i	−0.107709	+	0.0332344i
$827$	43.1036			1.49886			0.749430	−	0.662084i	$-0.230328\pi$
$827$	43.1036			1.49886			0.749430	+	0.662084i	$0.230328\pi$
$828$	−4.42075	+	8.51217i	−0.153632	+	0.295818i
$829$	6.70855			0.232997			0.116499	−	0.993191i	$-0.462833\pi$
$829$	6.70855			0.232997			0.116499	+	0.993191i	$0.462833\pi$
$830$	−28.4567	+	8.78053i	−0.987746	+	0.304776i
$831$	−12.1925	−	18.9718i	−0.422952	−	0.658126i
$832$	1.92939	−	31.7669i	0.0668895	−	1.10132i
$833$	−13.8160	+	6.30956i	−0.478697	+	0.218613i
$834$	−4.15131	−	3.49879i	−0.143748	−	0.121153i
$835$	74.6114	−	21.9079i	2.58203	−	0.758154i
$836$	−3.72499	+	32.1298i	−0.128831	+	1.11123i
$837$	−1.75843	+	3.85043i	−0.0607804	+	0.133090i
$838$	−0.00175041	+	0.00155920i	−6.04669e−5	+	5.38616e-5i
$839$	−20.9467	−	24.1737i	−0.723159	−	0.834570i	0.268524	−	0.963273i	$-0.413464\pi$
$839$	−20.9467	−	24.1737i	−0.723159	−	0.834570i	−0.991683	+	0.128703i	$0.958919\pi$
$840$	−20.8528	−	29.6922i	−0.719490	−	1.02448i
$841$	7.51223	+	2.20579i	0.259042	+	0.0760617i
$842$	16.4225	−	10.8746i	0.565955	−	0.374763i
$843$	16.1652	+	10.3887i	0.556759	+	0.357807i
$844$	−18.5831	+	17.0150i	−0.639656	+	0.585681i
$845$	9.72239	+	1.39787i	0.334460	+	0.0480881i
$846$	−1.18411	+	9.12030i	−0.0407105	+	0.313563i
$847$	9.60540	+	66.8070i	0.330045	+	2.29552i
$848$	−38.0061	−	3.35476i	−1.30513	−	0.115203i
$849$	−9.21671	−	7.98632i	−0.316317	−	0.274090i
$850$	19.4972	+	12.1562i	0.668748	+	0.416954i
$851$	10.9129	+	20.3022i	0.374091	+	0.695951i
$852$	0.577156	+	1.17738i	0.0197730	+	0.0403365i
$853$	22.3491	−	25.7922i	0.765219	−	0.883110i	−0.230731	−	0.973018i	$-0.574112\pi$
$853$	22.3491	−	25.7922i	0.765219	−	0.883110i	0.995950	+	0.0899078i	$0.0286572\pi$
$854$	−50.7345	+	0.694584i	−1.73610	+	0.0237682i
$855$	10.2814	−	1.47824i	0.351617	−	0.0505549i
$856$	3.51522	+	10.3753i	0.120148	+	0.354620i
$857$	−2.80087	+	19.4805i	−0.0956758	+	0.665440i	0.884387	+	0.466754i	$0.154577\pi$
$857$	−2.80087	+	19.4805i	−0.0956758	+	0.665440i	−0.980063	+	0.198686i	$0.936333\pi$
$858$	29.3284	+	8.17720i	1.00125	+	0.279165i
$859$	7.03644	−	10.9489i	0.240080	−	0.373572i	−0.700215	−	0.713932i	$-0.746913\pi$
$859$	7.03644	−	10.9489i	0.240080	−	0.373572i	0.940295	+	0.340360i	$0.110549\pi$
$860$	−0.443231	−	16.1844i	−0.0151140	−	0.551883i
$861$	12.3964	−	42.2181i	0.422467	−	1.43879i
$862$	−30.9558	+	4.88419i	−1.05436	+	0.166356i
$863$	15.0393	−	13.0317i	0.511945	−	0.443603i	−0.360182	−	0.932882i	$-0.617285\pi$
$863$	15.0393	−	13.0317i	0.511945	−	0.443603i	0.872127	+	0.489279i	$0.162740\pi$
$864$	−5.64361	+	0.386902i	−0.191999	+	0.0131627i
$865$	−1.75789	−	0.802802i	−0.0597701	−	0.0272961i
$866$	21.6458	+	45.7305i	0.735556	+	1.55399i
$867$	3.30661	+	11.2613i	0.112298	+	0.382453i
$868$	−9.61991	−	29.7264i	−0.326521	−	1.00898i
$869$	−19.0785	−	41.7762i	−0.647195	−	1.41716i
$870$	−20.7003	−	9.11315i	−0.701807	−	0.308965i
$871$	1.66109	−	1.06752i	0.0562838	−	0.0361714i
$872$	−4.58154	−	4.86824i	−0.155150	−	0.164860i
$873$		−	12.6988i		−	0.429791i
$874$	19.8349	+	4.16743i	0.670927	+	0.140965i
$875$		−	26.7039i		−	0.902757i
$876$	2.93155	−	11.0994i	0.0990477	−	0.375016i
$877$	45.4752	−	29.2251i	1.53559	−	0.986862i	0.546845	−	0.837234i	$-0.315829\pi$
$877$	45.4752	−	29.2251i	1.53559	−	0.986862i	0.988742	−	0.149628i	$-0.0478076\pi$
$878$	4.27147	−	9.70256i	0.144155	−	0.327446i
$879$	4.11132	+	9.00254i	0.138671	+	0.303648i
$880$	54.0832	−	52.3126i	1.82315	−	1.76346i
$881$	0.113983	+	0.388191i	0.00384019	+	0.0130785i	0.961391	−	0.275187i	$-0.0887397\pi$
$881$	0.113983	+	0.388191i	0.00384019	+	0.0130785i	−0.957551	+	0.288265i	$0.906922\pi$
$882$	8.46260	−	4.00564i	0.284951	−	0.134877i
$883$	−3.40251	−	1.55387i	−0.114503	−	0.0522920i	0.357340	−	0.933974i	$-0.383684\pi$
$883$	−3.40251	−	1.55387i	−0.114503	−	0.0522920i	−0.471843	+	0.881683i	$0.656411\pi$
$884$	−17.9897	+	3.09137i	−0.605059	+	0.103974i
$885$	−1.63050	+	1.41284i	−0.0548086	+	0.0474919i
$886$	5.97180	+	37.8490i	0.200626	+	1.27156i
$887$	−11.2879	+	38.4431i	−0.379011	+	1.29079i	0.520488	+	0.853869i	$0.325750\pi$
$887$	−11.2879	+	38.4431i	−0.379011	+	1.29079i	−0.899499	+	0.436923i	$0.856068\pi$
$888$	−6.87362	+	11.7279i	−0.230663	+	0.393563i
$889$	−24.4589	+	38.0588i	−0.820325	+	1.27645i
$890$	16.4560	−	59.0211i	0.551605	−	1.97839i
$891$	0.770187	−	5.35677i	0.0258022	−	0.179458i
$892$	−23.8919	−	19.5835i	−0.799962	−	0.655703i
$893$	19.2359	−	2.76571i	0.643706	−	0.0925509i
$894$	0.438697	+	32.0437i	0.0146722	+	1.07170i
$895$	−42.4149	+	48.9494i	−1.41777	+	1.63620i
$896$	28.7947	−	30.2371i	0.961965	−	1.01015i
$897$	6.78485	−	17.8315i	0.226539	−	0.595375i
$898$	1.52787	−	2.45053i	0.0509856	−	0.0817752i
$899$	−14.7193	−	12.7544i	−0.490918	−	0.425383i
$900$	−12.1201	−	7.32824i	−0.404005	−	0.244275i
$901$	3.11428	+	21.6603i	0.103752	+	0.721609i
$902$	90.4883	+	11.7483i	3.01293	+	0.391175i
$903$	8.50782	+	1.22324i	0.283122	+	0.0407069i
$904$	4.06437	+	21.8550i	0.135179	+	0.726888i
$905$	−27.6550	−	17.7728i	−0.919282	−	0.590787i
$906$	9.41862	+	14.2237i	0.312913	+	0.472551i
$907$	−22.8212	−	6.70090i	−0.757765	−	0.222500i	−0.120045	−	0.992768i	$-0.538304\pi$
$907$	−22.8212	−	6.70090i	−0.757765	−	0.222500i	−0.637719	+	0.770269i	$0.720122\pi$
$908$	−11.2067	+	26.4311i	−0.371906	+	0.877146i
$909$	−5.84921	−	6.75035i	−0.194006	−	0.223895i
$910$	48.0037	+	53.8906i	1.59131	+	1.78645i
$911$	21.0020	−	45.9880i	0.695828	−	1.52365i	−0.149130	−	0.988818i	$-0.547647\pi$
$911$	21.0020	−	45.9880i	0.695828	−	1.52365i	0.844958	−	0.534833i	$-0.179625\pi$
$912$	3.99035	+	11.2677i	0.132134	+	0.373111i
$913$	31.4588	−	9.23713i	1.04113	−	0.305704i
$914$	−27.2364	+	32.3160i	−0.900902	+	1.06892i
$915$	−30.7371	+	14.0372i	−1.01614	+	0.464054i
$916$	15.3547	+	22.5125i	0.507332	+	0.743833i
$917$	2.45567	+	3.82110i	0.0810934	+	0.126184i
$918$	0.956604	+	3.10025i	0.0315726	+	0.102323i
$919$	48.5427			1.60128			0.800638	−	0.599148i	$-0.204494\pi$
$919$	48.5427			1.60128			0.800638	+	0.599148i	$0.204494\pi$
$920$	−29.5399	−	36.7481i	−0.973903	−	1.21155i
$921$	0.347168			0.0114396
$922$	−3.80209	−	12.3221i	−0.125215	−	0.405808i
$923$	−1.41008	−	2.19413i	−0.0464133	−	0.0722206i
$924$	22.5082	+	33.0008i	0.740466	+	1.08565i
$925$	−30.9597	+	14.1388i	−1.01795	+	0.464882i
$926$	5.93690	−	7.04412i	0.195099	−	0.231484i
$927$	−4.05793	+	1.19152i	−0.133280	+	0.0391345i
$928$	5.60770	−	25.4168i	0.184082	−	0.834347i
$929$	−20.7362	+	45.4058i	−0.680331	+	1.48972i	0.181961	+	0.983306i	$0.441756\pi$
$929$	−20.7362	+	45.4058i	−0.680331	+	1.48972i	−0.862292	+	0.506411i	$0.830972\pi$
$930$	−13.8401	−	15.5374i	−0.453835	−	0.509490i
$931$	−12.9559	−	14.9519i	−0.424614	−	0.490030i
$932$	−1.66405	+	3.92468i	−0.0545076	+	0.128557i
$933$	13.5438	+	3.97682i	0.443405	+	0.130195i
$934$	−6.09974	−	9.21164i	−0.199590	−	0.301414i
$935$	−36.3050	−	23.3318i	−1.18730	−	0.763031i
$936$	11.0623	−	2.05725i	0.361583	−	0.0672433i
$937$	−5.89580	−	0.847687i	−0.192607	−	0.0276927i	0.0453360	−	0.998972i	$-0.485564\pi$
$937$	−5.89580	−	0.847687i	−0.192607	−	0.0276927i	−0.237943	+	0.971279i	$0.576473\pi$
$938$	2.56899	+	0.333538i	0.0838806	+	0.0108904i
$939$	1.30018	+	9.04293i	0.0424297	+	0.295105i
$940$	−38.6865	−	23.3911i	−1.26181	−	0.762934i
$941$	3.79644	+	3.28964i	0.123760	+	0.107239i	0.714542	−	0.699592i	$-0.246635\pi$
$941$	3.79644	+	3.28964i	0.123760	+	0.107239i	−0.590782	+	0.806831i	$0.701181\pi$
$942$	−10.5551	+	16.9292i	−0.343904	+	0.551584i
$943$	12.5215	−	55.7896i	0.407757	−	1.81676i
$944$	−1.96254	−	1.52074i	−0.0638751	−	0.0494960i
$945$	8.40057	−	9.69477i	0.273270	−	0.315371i
$946$	0.244010	+	17.8232i	0.00793345	+	0.579482i
$947$	−35.3357	+	5.08050i	−1.14825	+	0.165094i	−0.690056	−	0.723756i	$-0.742414\pi$
$947$	−35.3357	+	5.08050i	−1.14825	+	0.165094i	−0.458199	+	0.888850i	$0.651505\pi$
$948$	−13.1265	−	10.7593i	−0.426328	−	0.349447i
$949$	−3.24974	+	22.6024i	−0.105491	+	0.733705i
$950$	−8.03792	+	28.8288i	−0.260784	+	0.935331i
$951$	−12.8651	+	20.0186i	−0.417181	+	0.649146i
$952$	−20.6610	−	12.1092i	−0.669626	−	0.392462i
$953$	−3.43528	+	11.6995i	−0.111280	+	0.378983i	−0.996235	−	0.0866921i	$-0.972370\pi$
$953$	−3.43528	+	11.6995i	−0.111280	+	0.378983i	0.884956	+	0.465675i	$0.154189\pi$
$954$	−2.10235	−	13.3246i	−0.0680660	−	0.431399i
$955$	1.73840	−	1.50633i	0.0562532	−	0.0487437i
$956$	46.0382	−	7.91125i	1.48898	−	0.255868i
$957$	22.6505	+	10.3442i	0.732188	+	0.334379i
$958$	18.3288	−	8.67565i	0.592176	−	0.280298i
$959$	−1.97622	−	6.73038i	−0.0638154	−	0.217335i
$960$	9.43721	−	26.1566i	0.304585	−	0.844200i
$961$	5.43449	+	11.8999i	0.175306	+	0.383867i
$962$	10.8947	−	24.7472i	0.351260	−	0.797880i
$963$	−3.25821	+	2.09392i	−0.104994	+	0.0674758i
$964$	9.06408	−	34.3185i	0.291934	−	1.10533i
$965$			63.3141i			2.03815i
$966$	21.8832	−	12.1518i	0.704081	−	0.390978i
$967$			0.905894i			0.0291316i	0.999894	+	0.0145658i	$0.00463660\pi$
$967$			0.905894i			0.0291316i	−0.999894	+	0.0145658i	$0.995363\pi$
$968$	−37.6687	+	35.4502i	−1.21072	+	1.13941i
$969$	5.76751	−	3.70655i	0.185279	−	0.119072i
$970$	57.1314	+	25.1516i	1.83438	+	0.807570i
$971$	23.2299	+	50.8664i	0.745483	+	1.63238i	0.774319	+	0.632795i	$0.218092\pi$
$971$	23.2299	+	50.8664i	0.745483	+	1.63238i	−0.0288368	+	0.999584i	$0.509180\pi$
$972$	−0.615788	−	1.90284i	−0.0197514	−	0.0610337i
$973$	3.99158	+	13.5941i	0.127964	+	0.435805i
$974$	−4.32526	−	9.13785i	−0.138590	−	0.292796i
$975$	25.6263	+	11.7031i	0.820699	+	0.374801i
$976$	−22.7823	−	31.5133i	−0.729243	−	1.00872i
$977$	2.52701	−	2.18966i	0.0808461	−	0.0700536i	−0.613500	−	0.789695i	$-0.710239\pi$
$977$	2.52701	−	2.18966i	0.0808461	−	0.0700536i	0.694346	+	0.719641i	$0.255694\pi$
$978$	2.71400	−	0.428213i	0.0867841	−	0.0136927i
$979$	−19.0050	+	64.7251i	−0.607403	+	2.06862i
$980$	1.25995	+	46.0064i	0.0402475	+	1.46962i
$981$	1.27782	−	1.98833i	0.0407977	−	0.0634825i
$982$	33.2830	+	9.27979i	1.06210	+	0.296130i
$983$	−2.39943	+	16.6884i	−0.0765300	+	0.532278i	0.915106	+	0.403213i	$0.132107\pi$
$983$	−2.39943	+	16.6884i	−0.0765300	+	0.532278i	−0.991636	+	0.129065i	$0.958802\pi$
$984$	31.9381	−	10.8209i	1.01815	−	0.344956i
$985$	−37.4494	+	5.38441i	−1.19324	+	0.171562i
$986$	−14.9269	+	0.204358i	−0.475370	+	0.00650810i
$987$	15.7170	−	18.1384i	0.500277	−	0.577350i
$988$	−10.4654	−	21.3493i	−0.332950	−	0.679211i
$989$	11.1354	+	0.870145i	0.354087	+	0.0276690i
$990$	22.5743	+	14.0748i	0.717460	+	0.447325i
$991$	−47.1544	−	40.8595i	−1.49791	−	1.29795i	−0.836571	−	0.547858i	$-0.815443\pi$
$991$	−47.1544	−	40.8595i	−1.49791	−	1.29795i	−0.661338	−	0.750088i	$-0.730011\pi$
$992$	14.4063	−	19.1267i	0.457402	−	0.607273i
$993$	0.218041	+	1.51651i	0.00691931	+	0.0481249i
$994$	0.440569	−	3.39338i	0.0139740	−	0.107631i
$995$	6.99475	+	1.00569i	0.221748	+	0.0318826i
$996$	8.93653	−	8.18246i	0.283165	−	0.259271i
$997$	−26.5677	−	17.0740i	−0.841408	−	0.540740i	0.0474758	−	0.998872i	$-0.484882\pi$
$997$	−26.5677	−	17.0740i	−0.841408	−	0.540740i	−0.888884	+	0.458132i	$0.848519\pi$
$998$	45.0377	−	29.8229i	1.42564	−	0.944029i
$999$	−4.61144	−	1.35404i	−0.145899	−	0.0428399i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.7.10	✓	240
3.2	odd	2		828.2.u.c.559.15		240
4.3	odd	2	inner	276.2.m.a.7.24	yes	240
12.11	even	2		828.2.u.c.559.1		240
23.10	odd	22	inner	276.2.m.a.79.24	yes	240
69.56	even	22		828.2.u.c.631.1		240
92.79	even	22	inner	276.2.m.a.79.10	yes	240
276.263	odd	22		828.2.u.c.631.15		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.7.10	✓	240	1.1	even	1	trivial
276.2.m.a.7.24	yes	240	4.3	odd	2	inner
276.2.m.a.79.10	yes	240	92.79	even	22	inner
276.2.m.a.79.24	yes	240	23.10	odd	22	inner
828.2.u.c.559.1		240	12.11	even	2
828.2.u.c.559.15		240	3.2	odd	2
828.2.u.c.631.1		240	69.56	even	22
828.2.u.c.631.15		240	276.263	odd	22

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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.m (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.416968 - 1.35135i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.65228 + 1.12694i) q^{4} +(3.16176 - 1.44393i) q^{5} +(-0.911395 + 1.08137i) q^{6} +(3.54109 - 1.03976i) q^{7} +(2.21183 + 1.76290i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\)	\(q+(-0.416968 - 1.35135i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.65228 + 1.12694i) q^{4} +(3.16176 - 1.44393i) q^{5} +(-0.911395 + 1.08137i) q^{6} +(3.54109 - 1.03976i) q^{7} +(2.21183 + 1.76290i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-3.26960 - 3.67057i) q^{10} +(3.54401 + 4.09000i) q^{11} +(1.84133 + 0.780714i) q^{12} +(-3.81703 - 1.12078i) q^{13} +(-2.88160 - 4.35170i) q^{14} +(-2.92409 - 1.87920i) q^{15} +(1.46003 - 3.72402i) q^{16} +(-2.27084 - 0.326497i) q^{17} +(1.40244 + 0.182082i) q^{18} +(-0.425287 - 2.95794i) q^{19} +(-3.59689 + 5.94888i) q^{20} +(-2.78916 - 2.41682i) q^{21} +(4.04927 - 6.49459i) q^{22} +(-3.82026 - 2.89925i) q^{23} +(0.287241 - 2.81380i) q^{24} +(4.63752 - 5.35198i) q^{25} +(0.0770158 + 5.62546i) q^{26} +(0.989821 - 0.142315i) q^{27} +(-4.67912 + 5.70856i) q^{28} +(-0.654813 + 4.55432i) q^{29} +(-1.32020 + 4.73502i) q^{30} +(-2.28851 + 3.56099i) q^{31} +(-5.64123 - 0.420206i) q^{32} +(1.52469 - 5.19263i) q^{33} +(0.505656 + 3.20483i) q^{34} +(9.69477 - 8.40057i) q^{35} +(-0.338718 - 1.97111i) q^{36} +(-4.37180 - 1.99653i) q^{37} +(-3.81987 + 1.80808i) q^{38} +(1.12078 + 3.81703i) q^{39} +(9.53878 + 2.38015i) q^{40} +(4.95272 + 10.8449i) q^{41} +(-2.10297 + 4.77686i) q^{42} +(-1.95926 + 1.25914i) q^{43} +(-10.4649 - 2.76394i) q^{44} +3.47587i q^{45} +(-2.32496 + 6.37138i) q^{46} +6.50316i q^{47} +(-3.92219 + 0.785104i) q^{48} +(5.56948 - 3.57929i) q^{49} +(-9.16608 - 4.03529i) q^{50} +(0.953041 + 2.08687i) q^{51} +(7.56983 - 2.44971i) q^{52} +(-2.68730 - 9.15209i) q^{53} +(-0.605041 - 1.27825i) q^{54} +(17.1110 + 7.81433i) q^{55} +(9.66528 + 3.94283i) q^{56} +(-2.25845 + 1.95696i) q^{57} +(6.42750 - 1.01413i) q^{58} +(0.174870 - 0.595553i) q^{59} +(6.94914 - 0.190311i) q^{60} +(5.25584 - 8.17824i) q^{61} +(5.76637 + 1.60775i) q^{62} +(-0.525226 + 3.65302i) q^{63} +(1.78437 + 7.79846i) q^{64} +(-13.6869 + 1.96788i) q^{65} +(-7.65280 + 0.104771i) q^{66} +(-0.325035 + 0.375111i) q^{67} +(4.11999 - 2.01963i) q^{68} +(-0.373616 + 4.78126i) q^{69} +(-15.3945 - 9.59823i) q^{70} +(0.495483 + 0.429339i) q^{71} +(-2.52242 + 1.27961i) q^{72} +(-0.816891 - 5.68160i) q^{73} +(-0.875109 + 6.74031i) q^{74} +(-7.00961 - 1.00783i) q^{75} +(4.03610 + 4.40805i) q^{76} +(16.8023 + 10.7982i) q^{77} +(4.69080 - 3.10614i) q^{78} +(-8.14252 - 2.39086i) q^{79} +(-0.760959 - 13.8826i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(12.5901 - 11.2148i) q^{82} +(2.51673 - 5.51086i) q^{83} +(7.33207 + 0.850047i) q^{84} +(-7.65130 + 2.24662i) q^{85} +(2.51849 + 2.12262i) q^{86} +(4.18536 - 1.91139i) q^{87} +(0.628470 + 15.2941i) q^{88} +(6.73898 + 10.4861i) q^{89} +(4.69711 - 1.44933i) q^{90} -14.6818 q^{91} +(9.57938 + 0.485169i) q^{92} +4.23296 q^{93} +(8.78802 - 2.71161i) q^{94} +(-5.61571 - 8.73822i) q^{95} +(2.69638 + 4.97288i) q^{96} +(-11.5513 + 5.27529i) q^{97} +(-7.15915 - 6.03385i) q^{98} +(-5.19263 + 1.52469i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Introduction

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