LMFDB - Embedded newform 252.2.o.a.95.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			95.2
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40966 + 0.113368i) q^{2} +(1.56103 - 0.750453i) q^{3} +(1.97430 - 0.319620i) q^{4} -1.54547i q^{5} +(-2.11545 + 1.23486i) q^{6} +(0.867509 - 2.49949i) q^{7} +(-2.74686 + 0.674378i) q^{8} +(1.87364 - 2.34296i) q^{9} +O(q^{10})$	\(q+(-1.40966 + 0.113368i) q^{2} +(1.56103 - 0.750453i) q^{3} +(1.97430 - 0.319620i) q^{4} -1.54547i q^{5} +(-2.11545 + 1.23486i) q^{6} +(0.867509 - 2.49949i) q^{7} +(-2.74686 + 0.674378i) q^{8} +(1.87364 - 2.34296i) q^{9} +(0.175206 + 2.17859i) q^{10} -3.88100 q^{11} +(2.84208 - 1.98055i) q^{12} +(-0.0856046 + 0.148271i) q^{13} +(-0.939534 + 3.62178i) q^{14} +(-1.15980 - 2.41253i) q^{15} +(3.79569 - 1.26205i) q^{16} +(2.75692 + 1.59171i) q^{17} +(-2.37559 + 3.51519i) q^{18} +(-5.49591 + 3.17307i) q^{19} +(-0.493963 - 3.05121i) q^{20} +(-0.521536 - 4.55280i) q^{21} +(5.47090 - 0.439980i) q^{22} -0.619563 q^{23} +(-3.78184 + 3.11411i) q^{24} +2.61153 q^{25} +(0.103864 - 0.218718i) q^{26} +(1.16653 - 5.06352i) q^{27} +(0.913833 - 5.21200i) q^{28} +(4.83069 - 2.78900i) q^{29} +(1.90843 + 3.26936i) q^{30} +(6.82042 - 3.93777i) q^{31} +(-5.20756 + 2.20937i) q^{32} +(-6.05837 + 2.91251i) q^{33} +(-4.06678 - 1.93123i) q^{34} +(-3.86288 - 1.34071i) q^{35} +(2.95027 - 5.22455i) q^{36} +(3.84283 + 6.65597i) q^{37} +(7.38765 - 5.09601i) q^{38} +(-0.0223608 + 0.295699i) q^{39} +(1.04223 + 4.24518i) q^{40} +(-1.61960 - 0.935076i) q^{41} +(1.25133 + 6.35879i) q^{42} +(3.04216 - 1.75639i) q^{43} +(-7.66224 + 1.24045i) q^{44} +(-3.62097 - 2.89566i) q^{45} +(0.873374 - 0.0702384i) q^{46} +(-1.71995 + 2.97904i) q^{47} +(4.97808 - 4.81858i) q^{48} +(-5.49486 - 4.33665i) q^{49} +(-3.68137 + 0.296063i) q^{50} +(5.49815 + 0.415771i) q^{51} +(-0.121618 + 0.320093i) q^{52} +(8.97048 + 5.17911i) q^{53} +(-1.07038 + 7.27010i) q^{54} +5.99797i q^{55} +(-0.697324 + 7.45075i) q^{56} +(-6.19806 + 9.07768i) q^{57} +(-6.49345 + 4.47919i) q^{58} +(2.81642 + 4.87819i) q^{59} +(-3.06088 - 4.39234i) q^{60} +(-4.66927 + 8.08741i) q^{61} +(-9.16807 + 6.32414i) q^{62} +(-4.23080 - 6.71568i) q^{63} +(7.09043 - 3.70484i) q^{64} +(0.229149 + 0.132299i) q^{65} +(8.21007 - 4.79247i) q^{66} +(-13.4564 + 7.76908i) q^{67} +(5.95172 + 2.26134i) q^{68} +(-0.967157 + 0.464953i) q^{69} +(5.59735 + 1.45202i) q^{70} +5.07956 q^{71} +(-3.56658 + 7.69932i) q^{72} +(-5.51255 + 9.54801i) q^{73} +(-6.17166 - 8.94702i) q^{74} +(4.07668 - 1.95983i) q^{75} +(-9.83638 + 8.02117i) q^{76} +(-3.36680 + 9.70050i) q^{77} +(-0.00200151 - 0.419370i) q^{78} +(-0.845137 - 0.487940i) q^{79} +(-1.95046 - 5.86611i) q^{80} +(-1.97893 - 8.77974i) q^{81} +(2.38910 + 1.13453i) q^{82} +(2.25453 + 3.90496i) q^{83} +(-2.48483 - 8.82188i) q^{84} +(2.45994 - 4.26074i) q^{85} +(-4.08930 + 2.82080i) q^{86} +(5.44785 - 7.97892i) q^{87} +(10.6605 - 2.61726i) q^{88} +(8.14910 - 4.70488i) q^{89} +(5.43262 + 3.67140i) q^{90} +(0.296340 + 0.342594i) q^{91} +(-1.22320 + 0.198025i) q^{92} +(7.69178 - 11.2654i) q^{93} +(2.08682 - 4.39443i) q^{94} +(4.90387 + 8.49376i) q^{95} +(-6.47114 + 7.35693i) q^{96} +(-5.12539 - 8.87743i) q^{97} +(8.23753 + 5.49028i) q^{98} +(-7.27161 + 9.09303i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.40966	+	0.113368i	−0.996782	+	0.0801630i
$2$	−1.40966	+	0.113368i	−0.996782	+	0.0801630i
$3$	1.56103	−	0.750453i	0.901262	−	0.433274i
$3$	1.56103	−	0.750453i	0.901262	−	0.433274i
$4$	1.97430	−	0.319620i	0.987148	−	0.159810i
$5$		−	1.54547i		−	0.691155i	−0.938390	−	0.345577i	$-0.887683\pi$
$5$		−	1.54547i		−	0.691155i	0.938390	−	0.345577i	$-0.112317\pi$
$6$	−2.11545	+	1.23486i	−0.863629	+	0.504128i
$7$	0.867509	−	2.49949i	0.327888	−	0.944717i
$7$	0.867509	−	2.49949i	0.327888	−	0.944717i
$8$	−2.74686	+	0.674378i	−0.971160	+	0.238429i
$9$	1.87364	−	2.34296i	0.624547	−	0.780987i
$10$	0.175206	+	2.17859i	0.0554051	+	0.688930i
$11$	−3.88100			−1.17017			−0.585083	−	0.810974i	$-0.698938\pi$
$11$	−3.88100			−1.17017			−0.585083	+	0.810974i	$0.698938\pi$
$12$	2.84208	−	1.98055i	0.820437	−	0.571736i
$13$	−0.0856046	+	0.148271i	−0.0237424	+	0.0411231i	−0.877652	−	0.479297i	$-0.840891\pi$
$13$	−0.0856046	+	0.148271i	−0.0237424	+	0.0411231i	0.853910	+	0.520421i	$0.174225\pi$
$14$	−0.939534	+	3.62178i	−0.251101	+	0.967961i
$15$	−1.15980	−	2.41253i	−0.299459	−	0.622912i
$16$	3.79569	−	1.26205i	0.948921	−	0.315512i
$17$	2.75692	+	1.59171i	0.668652	+	0.386047i	0.795566	−	0.605867i	$-0.207174\pi$
$17$	2.75692	+	1.59171i	0.668652	+	0.386047i	−0.126914	+	0.991914i	$0.540507\pi$
$18$	−2.37559	+	3.51519i	−0.559931	+	0.828539i
$19$	−5.49591	+	3.17307i	−1.26085	+	0.727951i	−0.973239	−	0.229797i	$-0.926194\pi$
$19$	−5.49591	+	3.17307i	−1.26085	+	0.727951i	−0.287610	+	0.957748i	$0.592861\pi$
$20$	−0.493963	−	3.05121i	−0.110453	−	0.682272i
$21$	−0.521536	−	4.55280i	−0.113809	−	0.993503i
$22$	5.47090	−	0.439980i	1.16640	−	0.0938040i
$23$	−0.619563			−0.129188			−0.0645939	−	0.997912i	$-0.520575\pi$
$23$	−0.619563			−0.129188			−0.0645939	+	0.997912i	$0.520575\pi$
$24$	−3.78184	+	3.11411i	−0.771965	+	0.635665i
$25$	2.61153			0.522305
$26$	0.103864	−	0.218718i	0.0203695	−	0.0428940i
$27$	1.16653	−	5.06352i	0.224500	−	0.974474i
$28$	0.913833	−	5.21200i	0.172698	−	0.984975i
$29$	4.83069	−	2.78900i	0.897036	−	0.517904i	0.0207986	−	0.999784i	$-0.493379\pi$
$29$	4.83069	−	2.78900i	0.897036	−	0.517904i	0.876237	+	0.481880i	$0.160046\pi$
$30$	1.90843	+	3.26936i	0.348430	+	0.596901i
$31$	6.82042	−	3.93777i	1.22498	−	0.707245i	0.259007	−	0.965875i	$-0.416605\pi$
$31$	6.82042	−	3.93777i	1.22498	−	0.707245i	0.965976	+	0.258631i	$0.0832713\pi$
$32$	−5.20756	+	2.20937i	−0.920575	+	0.390565i
$33$	−6.05837	+	2.91251i	−1.05463	+	0.507002i
$34$	−4.06678	−	1.93123i	−0.697447	−	0.331203i
$35$	−3.86288	−	1.34071i	−0.652945	−	0.226621i
$36$	2.95027	−	5.22455i	0.491711	−	0.870759i
$37$	3.84283	+	6.65597i	0.631757	+	1.09423i	0.987192	+	0.159534i	$0.0509992\pi$
$37$	3.84283	+	6.65597i	0.631757	+	1.09423i	−0.355436	+	0.934701i	$0.615667\pi$
$38$	7.38765	−	5.09601i	1.19844	−	0.826682i
$39$	−0.0223608	+	0.295699i	−0.00358059	+	0.0473497i
$40$	1.04223	+	4.24518i	0.164791	+	0.671222i
$41$	−1.61960	−	0.935076i	−0.252939	−	0.146034i	0.368170	−	0.929758i	$-0.379984\pi$
$41$	−1.61960	−	0.935076i	−0.252939	−	0.146034i	−0.621109	+	0.783724i	$0.713318\pi$
$42$	1.25133	+	6.35879i	0.193084	+	0.981182i
$43$	3.04216	−	1.75639i	0.463925	−	0.267847i	−0.249768	−	0.968306i	$-0.580354\pi$
$43$	3.04216	−	1.75639i	0.463925	−	0.267847i	0.713693	+	0.700458i	$0.247021\pi$
$44$	−7.66224	+	1.24045i	−1.15513	+	0.187004i
$45$	−3.62097	−	2.89566i	−0.539783	−	0.431659i
$46$	0.873374	−	0.0702384i	0.128772	−	0.0103561i
$47$	−1.71995	+	2.97904i	−0.250880	+	0.434537i	−0.963768	−	0.266740i	$-0.914053\pi$
$47$	−1.71995	+	2.97904i	−0.250880	+	0.434537i	0.712888	+	0.701278i	$0.247387\pi$
$48$	4.97808	−	4.81858i	0.718524	−	0.695502i
$49$	−5.49486	−	4.33665i	−0.784980	−	0.619522i
$50$	−3.68137	+	0.296063i	−0.520624	+	0.0418696i
$51$	5.49815	+	0.415771i	0.769895	+	0.0582196i
$52$	−0.121618	+	0.320093i	−0.0168654	+	0.0443889i
$53$	8.97048	+	5.17911i	1.23219	+	0.711406i	0.967486	−	0.252924i	$-0.0813923\pi$
$53$	8.97048	+	5.17911i	1.23219	+	0.711406i	0.264704	+	0.964330i	$0.414726\pi$
$54$	−1.07038	+	7.27010i	−0.145660	+	0.989335i
$55$			5.99797i			0.808766i
$56$	−0.697324	+	7.45075i	−0.0931839	+	0.995649i
$57$	−6.19806	+	9.07768i	−0.820953	+	1.20237i
$58$	−6.49345	+	4.47919i	−0.852632	+	0.588146i
$59$	2.81642	+	4.87819i	0.366667	+	0.635086i	0.989042	−	0.147633i	$-0.0471655\pi$
$59$	2.81642	+	4.87819i	0.366667	+	0.635086i	−0.622375	+	0.782719i	$0.713832\pi$
$60$	−3.06088	−	4.39234i	−0.395158	−	0.567049i
$61$	−4.66927	+	8.08741i	−0.597838	+	1.03549i	0.395301	+	0.918552i	$0.370640\pi$
$61$	−4.66927	+	8.08741i	−0.597838	+	1.03549i	−0.993140	+	0.116935i	$0.962693\pi$
$62$	−9.16807	+	6.32414i	−1.16435	+	0.803167i
$63$	−4.23080	−	6.71568i	−0.533030	−	0.846096i
$64$	7.09043	−	3.70484i	0.886304	−	0.463105i
$65$	0.229149	+	0.132299i	0.0284224	+	0.0164097i
$66$	8.21007	−	4.79247i	1.01059	−	0.589913i
$67$	−13.4564	+	7.76908i	−1.64397	+	0.949144i	−0.664561	+	0.747234i	$0.731381\pi$
$67$	−13.4564	+	7.76908i	−1.64397	+	0.949144i	−0.979404	+	0.201910i	$0.935285\pi$
$68$	5.95172	+	2.26134i	0.721753	+	0.274228i
$69$	−0.967157	+	0.464953i	−0.116432	+	0.0559737i
$70$	5.59735	+	1.45202i	0.669011	+	0.173550i
$71$	5.07956			0.602833			0.301417	−	0.953493i	$-0.402541\pi$
$71$	5.07956			0.602833			0.301417	+	0.953493i	$0.402541\pi$
$72$	−3.56658	+	7.69932i	−0.420326	+	0.907373i
$73$	−5.51255	+	9.54801i	−0.645195	+	1.11751i	0.339062	+	0.940764i	$0.389890\pi$
$73$	−5.51255	+	9.54801i	−0.645195	+	1.11751i	−0.984257	+	0.176746i	$0.943443\pi$
$74$	−6.17166	−	8.94702i	−0.717441	−	1.04007i
$75$	4.07668	−	1.95983i	0.470734	−	0.226301i
$76$	−9.83638	+	8.02117i	−1.12831	+	0.920092i
$77$	−3.36680	+	9.70050i	−0.383683	+	1.10548i
$78$	−0.00200151	−	0.419370i	−0.000226627	−	0.0474843i
$79$	−0.845137	−	0.487940i	−0.0950854	−	0.0548976i	0.451703	−	0.892168i	$-0.350817\pi$
$79$	−0.845137	−	0.487940i	−0.0950854	−	0.0548976i	−0.546789	+	0.837271i	$0.684150\pi$
$80$	−1.95046	−	5.86611i	−0.218068	−	0.655852i
$81$	−1.97893	−	8.77974i	−0.219881	−	0.975527i
$82$	2.38910	+	1.13453i	0.263832	+	0.125288i
$83$	2.25453	+	3.90496i	0.247467	+	0.428625i	0.962822	−	0.270136i	$-0.0870685\pi$
$83$	2.25453	+	3.90496i	0.247467	+	0.428625i	−0.715355	+	0.698761i	$0.753735\pi$
$84$	−2.48483	−	8.82188i	−0.271118	−	0.962546i
$85$	2.45994	−	4.26074i	0.266818	−	0.462142i
$86$	−4.08930	+	2.82080i	−0.440961	+	0.304175i
$87$	5.44785	−	7.97892i	0.584070	−	0.855430i
$88$	10.6605	−	2.61726i	1.13642	−	0.279001i
$89$	8.14910	−	4.70488i	0.863803	−	0.498717i	−0.00148118	−	0.999999i	$-0.500471\pi$
$89$	8.14910	−	4.70488i	0.863803	−	0.498717i	0.865284	+	0.501282i	$0.167138\pi$
$90$	5.43262	+	3.67140i	0.572649	+	0.386999i
$91$	0.296340	+	0.342594i	0.0310648	+	0.0359136i
$92$	−1.22320	+	0.198025i	−0.127527	+	0.0206455i
$93$	7.69178	−	11.2654i	0.797601	−	1.16817i
$94$	2.08682	−	4.39443i	0.215239	−	0.453250i
$95$	4.90387	+	8.49376i	0.503127	+	0.871441i
$96$	−6.47114	+	7.35693i	−0.660458	+	0.750863i
$97$	−5.12539	−	8.87743i	−0.520404	−	0.901367i	−0.999719	−	0.0237232i	$-0.992448\pi$
$97$	−5.12539	−	8.87743i	−0.520404	−	0.901367i	0.479314	−	0.877643i	$-0.340885\pi$
$98$	8.23753	+	5.49028i	0.832116	+	0.554602i
$99$	−7.27161	+	9.09303i	−0.730824	+	0.913884i
$100$	5.15592	−	0.834696i	0.515592	−	0.0834696i
$101$		−	10.7113i		−	1.06582i	−0.846173	−	0.532908i	$-0.821099\pi$
$101$		−	10.7113i		−	1.06582i	0.846173	−	0.532908i	$-0.178901\pi$
$102$	−7.79767	+	0.0372157i	−0.772084	+	0.00368490i
$103$		−	8.31966i		−	0.819761i	−0.912139	−	0.409880i	$-0.865570\pi$
$103$		−	8.31966i		−	0.819761i	0.912139	−	0.409880i	$-0.134430\pi$
$104$	0.135152	−	0.465010i	0.0132528	−	0.0455980i
$105$	−7.03621	+	0.806018i	−0.686664	+	0.0786593i
$106$	−13.2325	−	6.28383i	−1.28525	−	0.610340i
$107$	8.31500	+	14.4020i	0.803842	+	1.39229i	0.917070	+	0.398725i	$0.130547\pi$
$107$	8.31500	+	14.4020i	0.803842	+	1.39229i	−0.113229	+	0.993569i	$0.536119\pi$
$108$	0.684681	−	10.3697i	0.0658835	−	0.997827i
$109$	1.36179	−	2.35870i	0.130436	−	0.225922i	−0.793409	−	0.608689i	$-0.791696\pi$
$109$	1.36179	−	2.35870i	0.130436	−	0.225922i	0.923845	+	0.382767i	$0.125029\pi$
$110$	−0.679975	−	8.45511i	−0.0648331	−	0.806163i
$111$	10.9938	+	7.50632i	1.04348	+	0.712469i
$112$	0.138317	−	10.5821i	0.0130697	−	0.999915i
$113$	−11.1248	−	6.42289i	−1.04653	−	0.604215i	−0.124855	−	0.992175i	$-0.539847\pi$
$113$	−11.1248	−	6.42289i	−1.04653	−	0.604215i	−0.921676	+	0.387960i	$0.873180\pi$
$114$	7.70805	−	13.4991i	0.721925	−	1.26431i
$115$			0.957515i			0.0892888i
$116$	8.64578	−	7.05029i	0.802741	−	0.654603i
$117$	0.187002	+	0.478376i	0.0172883	+	0.0442259i
$118$	−4.52323	−	6.55730i	−0.416397	−	0.603649i
$119$	6.37011	−	5.51007i	0.583947	−	0.505107i
$120$	4.81276	+	5.84472i	0.439343	+	0.533547i
$121$	4.06216			0.369288
$122$	5.66524	−	11.9299i	0.512907	−	1.08008i
$123$	−3.22998	−	0.244251i	−0.291237	−	0.0220234i
$124$	12.2069	−	9.95427i	1.09622	−	0.893920i
$125$		−	11.7634i		−	1.05215i
$126$	6.72533	+	8.98721i	0.599140	+	0.800644i
$127$			8.84529i			0.784892i	0.919775	+	0.392446i	$0.128371\pi$
$127$			8.84529i			0.784892i	−0.919775	+	0.392446i	$0.871629\pi$
$128$	−9.57510	+	6.02639i	−0.846327	+	0.532663i
$129$	3.43082	−	5.02478i	0.302067	−	0.442408i
$130$	−0.338021	−	0.160519i	−0.0296464	−	0.0140785i
$131$	−4.33747			−0.378966			−0.189483	−	0.981884i	$-0.560681\pi$
$131$	−4.33747			−0.378966			−0.189483	+	0.981884i	$0.560681\pi$
$132$	−11.0301	+	7.68652i	−0.960048	+	0.669026i
$133$	3.16328	+	16.4896i	0.274291	+	1.42983i
$134$	18.0883	−	12.4773i	1.56259	−	1.07787i
$135$	−7.82551	−	1.80284i	−0.673512	−	0.155164i
$136$	−8.64628	−	2.51299i	−0.741413	−	0.215487i
$137$			19.3171i			1.65037i	0.564863	+	0.825185i	$0.308929\pi$
$137$			19.3171i			1.65037i	−0.564863	+	0.825185i	$0.691071\pi$
$138$	1.31065	−	0.765070i	0.111570	−	0.0651271i
$139$	−12.8588	−	7.42403i	−1.09067	−	0.629698i	−0.156915	−	0.987612i	$-0.550155\pi$
$139$	−12.8588	−	7.42403i	−1.09067	−	0.629698i	−0.933755	+	0.357914i	$0.883488\pi$
$140$	−8.05498	−	1.41230i	−0.680770	−	0.119361i
$141$	−0.449268	+	5.94111i	−0.0378352	+	0.500332i
$142$	−7.16047	+	0.575858i	−0.600893	+	0.0483249i
$143$	0.332231	−	0.575442i	0.0277826	−	0.0481209i
$144$	4.15482	−	11.2578i	0.346235	−	0.938148i
$145$	−4.31031	−	7.46568i	−0.357952	−	0.619991i
$146$	6.68839	−	14.0844i	0.553535	−	1.16563i
$147$	−11.8321	−	2.64602i	−0.975895	−	0.218240i
$148$	9.71426	+	11.9126i	0.798507	+	0.979210i
$149$			0.0687275i			0.00563038i	0.999996	+	0.00281519i	$0.000896103\pi$
$149$			0.0687275i			0.00563038i	−0.999996	+	0.00281519i	$0.999104\pi$
$150$	−5.52455	+	3.22486i	−0.451078	+	0.263308i
$151$			3.88878i			0.316464i	0.987402	+	0.158232i	$0.0505794\pi$
$151$			3.88878i			0.316464i	−0.987402	+	0.158232i	$0.949421\pi$
$152$	12.9566	−	12.4223i	1.05092	−	1.00758i
$153$	8.89480	−	3.47707i	0.719102	−	0.281104i
$154$	3.64633	−	14.0561i	0.293830	−	1.13267i
$155$	−6.08570	−	10.5407i	−0.488815	−	0.846653i
$156$	0.0503645	+	0.590944i	0.00403239	+	0.0473134i
$157$	4.96904	+	8.60662i	0.396572	+	0.686883i	0.993300	−	0.115560i	$-0.0368663\pi$
$157$	4.96904	+	8.60662i	0.396572	+	0.686883i	−0.596728	+	0.802443i	$0.703533\pi$
$158$	1.24667	+	0.592020i	0.0991801	+	0.0470986i
$159$	17.8899	+	1.35284i	1.41876	+	0.107287i
$160$	3.41451	+	8.04812i	0.269941	+	0.636260i
$161$	−0.537476	+	1.54859i	−0.0423591	+	0.122046i
$162$	3.78496	+	12.1521i	0.297375	+	0.954761i
$163$	5.33006	−	3.07731i	0.417482	−	0.241033i	−0.276517	−	0.961009i	$-0.589180\pi$
$163$	5.33006	−	3.07731i	0.417482	−	0.241033i	0.694000	+	0.719975i	$0.255847\pi$
$164$	−3.49644	−	1.32846i	−0.273026	−	0.103735i
$165$	4.50119	+	9.36302i	0.350417	+	0.728910i
$166$	−3.62082	−	5.24908i	−0.281030	−	0.407408i
$167$	5.63100	−	9.75317i	0.435740	−	0.754723i	−0.561616	−	0.827398i	$-0.689820\pi$
$167$	5.63100	−	9.75317i	0.435740	−	0.754723i	0.997356	+	0.0726749i	$0.0231535\pi$
$168$	4.50289	+	12.1542i	0.347406	+	0.937715i
$169$	6.48534	+	11.2329i	0.498873	+	0.864073i
$170$	−2.98465	+	6.28508i	−0.228912	+	0.482044i
$171$	−2.86300	+	18.8219i	−0.218939	+	1.43935i
$172$	5.44475	−	4.43998i	0.415158	−	0.338545i
$173$	−14.4878	−	8.36453i	−1.10149	−	0.635944i	−0.164876	−	0.986314i	$-0.552722\pi$
$173$	−14.4878	−	8.36453i	−1.10149	−	0.635944i	−0.936611	+	0.350371i	$0.886056\pi$
$174$	−6.77507	+	11.8652i	−0.513617	+	0.899497i
$175$	2.26552	−	6.52747i	0.171257	−	0.493430i
$176$	−14.7311	+	4.89801i	−1.11040	+	0.369202i
$177$	8.05737	+	5.50141i	0.605629	+	0.413512i
$178$	−10.9541	+	7.55614i	−0.821044	+	0.566357i
$179$	7.05045	−	12.2117i	0.526975	−	0.912748i	−0.472531	−	0.881314i	$-0.656659\pi$
$179$	7.05045	−	12.2117i	0.526975	−	0.912748i	0.999506	−	0.0314336i	$-0.0100073\pi$
$180$	−8.07438	−	4.55954i	−0.601829	−	0.339848i
$181$	−18.0238			−1.33970			−0.669850	−	0.742496i	$-0.733642\pi$
$181$	−18.0238			−1.33970			−0.669850	+	0.742496i	$0.733642\pi$
$182$	−0.456578	−	0.449347i	−0.0338438	−	0.0333078i
$183$	−1.21966	+	16.1288i	−0.0901598	+	1.19227i
$184$	1.70185	−	0.417819i	0.125462	−	0.0308021i
$185$	10.2866	−	5.93897i	0.756286	−	0.436642i
$186$	−9.56569	+	16.7524i	−0.701390	+	1.22835i
$187$	−10.6996	−	6.17743i	−0.782434	−	0.451738i
$188$	−2.44353	+	6.43123i	−0.178212	+	0.469046i
$189$	−11.6442	−	7.30838i	−0.846991	−	0.531607i
$190$	−7.87572	−	11.4174i	−0.571365	−	0.828305i
$191$	−6.06078	+	10.4976i	−0.438543	+	0.759578i	−0.997577	−	0.0695662i	$-0.977838\pi$
$191$	−6.06078	+	10.4976i	−0.438543	+	0.759578i	0.559035	+	0.829144i	$0.311172\pi$
$192$	8.28808	−	11.1044i	0.598141	−	0.801391i
$193$	−3.00860	−	5.21104i	−0.216563	−	0.375099i	0.737192	−	0.675684i	$-0.236151\pi$
$193$	−3.00860	−	5.21104i	−0.216563	−	0.375099i	−0.953755	+	0.300585i	$0.902818\pi$
$194$	8.23148	+	11.9331i	0.590986	+	0.856749i
$195$	0.456993	+	0.0345579i	0.0327260	+	0.00247474i
$196$	−12.2346	−	6.80557i	−0.873897	−	0.486112i
$197$			11.7089i			0.834225i	0.908855	+	0.417113i	$0.136958\pi$
$197$			11.7089i			0.834225i	−0.908855	+	0.417113i	$0.863042\pi$
$198$	9.21965	−	13.6425i	0.655212	−	0.969528i
$199$	−8.68006	−	5.01144i	−0.615313	−	0.355251i	0.159729	−	0.987161i	$-0.448938\pi$
$199$	−8.68006	−	5.01144i	−0.615313	−	0.355251i	−0.775042	+	0.631910i	$0.782271\pi$
$200$	−7.17348	+	1.76115i	−0.507242	+	0.124532i
$201$	−15.1756	+	22.2262i	−1.07040	+	1.56771i
$202$	1.21432	+	15.0993i	0.0854391	+	1.06239i
$203$	−2.78040	−	14.4937i	−0.195146	−	1.01726i
$204$	10.9879	−	0.936465i	0.769304	−	0.0655657i
$205$	−1.44513	+	2.50304i	−0.100932	+	0.174820i
$206$	0.943180	+	11.7279i	0.0657145	+	0.817122i
$207$	−1.16084	+	1.45161i	−0.0806839	+	0.100894i
$208$	−0.137802	+	0.670829i	−0.00955486	+	0.0465136i
$209$	21.3296	−	12.3147i	1.47540	−	0.851823i
$210$	9.82731	−	1.93389i	0.678149	−	0.133451i
$211$	−1.05043	−	0.606467i	−0.0723147	−	0.0417509i	0.463407	−	0.886146i	$-0.346627\pi$
$211$	−1.05043	−	0.606467i	−0.0723147	−	0.0417509i	−0.535721	+	0.844395i	$0.679960\pi$
$212$	19.3657	+	7.35795i	1.33004	+	0.505346i
$213$	7.92936	−	3.81197i	0.543311	−	0.261192i
$214$	−13.3541	−	19.3593i	−0.912865	−	1.32338i
$215$	−2.71445	−	4.70157i	−0.185124	−	0.320644i
$216$	0.210422	+	14.6954i	0.0143174	+	0.999898i
$217$	−3.92563	−	20.4636i	−0.266489	−	1.38916i
$218$	−1.65227	+	3.47935i	−0.111906	+	0.235651i
$219$	−1.43993	+	19.0417i	−0.0973016	+	1.28672i
$220$	1.91707	+	11.8418i	0.129249	+	0.798371i
$221$	−0.472011	+	0.272515i	−0.0317509	+	0.0183314i
$222$	−16.3485	−	9.33505i	−1.09724	−	0.626527i
$223$	18.1428	−	10.4748i	1.21493	−	0.701441i	0.251103	−	0.967960i	$-0.419207\pi$
$223$	18.1428	−	10.4748i	1.21493	−	0.701441i	0.963830	+	0.266519i	$0.0858735\pi$
$224$	1.00469	+	14.9329i	0.0671285	+	0.997744i
$225$	4.89306	−	6.11870i	0.326204	−	0.407913i
$226$	16.4103	+	7.79292i	1.09160	+	0.518378i
$227$	−20.6098			−1.36792			−0.683959	−	0.729520i	$-0.739743\pi$
$227$	−20.6098			−1.36792			−0.683959	+	0.729520i	$0.739743\pi$
$228$	−9.33539	+	19.9030i	−0.618251	+	1.31811i
$229$	18.0819			1.19488			0.597441	−	0.801913i	$-0.296184\pi$
$229$	18.0819			1.19488			0.597441	+	0.801913i	$0.296184\pi$
$230$	−0.108551	−	1.34977i	−0.00715766	−	0.0890014i
$231$	2.02408	+	17.6694i	0.133175	+	1.16256i
$232$	−11.3884	+	10.9187i	−0.747682	+	0.716847i
$233$	−14.3021	+	8.25735i	−0.936965	+	0.540957i	−0.889008	−	0.457893i	$-0.848604\pi$
$233$	−14.3021	+	8.25735i	−0.936965	+	0.540957i	−0.0479572	+	0.998849i	$0.515271\pi$
$234$	−0.317842	−	0.653149i	−0.0207780	−	0.0426977i
$235$	4.60401	+	2.65813i	0.300333	+	0.173397i
$236$	7.11962	+	8.73080i	0.463448	+	0.568326i
$237$	−1.68546	−	0.127455i	−0.109483	−	0.00827909i
$238$	−8.35505	+	8.48950i	−0.541577	+	0.550293i
$239$	3.21212	−	5.56356i	0.207775	−	0.359877i	−0.743238	−	0.669027i	$-0.766711\pi$
$239$	3.21212	−	5.56356i	0.207775	−	0.359877i	0.951013	+	0.309150i	$0.100044\pi$
$240$	−7.44697	−	7.69347i	−0.480700	−	0.496611i
$241$	4.36319			0.281058			0.140529	−	0.990077i	$-0.455120\pi$
$241$	4.36319			0.281058			0.140529	+	0.990077i	$0.455120\pi$
$242$	−5.72628	+	0.460518i	−0.368099	+	0.0296032i
$243$	−9.67795	−	12.2204i	−0.620841	−	0.783937i
$244$	−6.63361	+	17.4593i	−0.424674	+	1.11772i
$245$	−6.70216	+	8.49213i	−0.428185	+	0.542542i
$246$	4.58087	−	0.0218629i	0.292065	−	0.00139393i
$247$		−	1.08652i		−	0.0691333i
$248$	−16.0792	+	15.4160i	−1.02103	+	0.978919i
$249$	6.44988	+	4.40385i	0.408745	+	0.279083i
$250$	1.33359	+	16.5824i	0.0843434	+	1.04876i
$251$	−4.63056			−0.292278			−0.146139	−	0.989264i	$-0.546685\pi$
$251$	−4.63056			−0.292278			−0.146139	+	0.989264i	$0.546685\pi$
$252$	−10.4993	−	11.9065i	−0.661394	−	0.750038i
$253$	2.40452			0.151171
$254$	−1.00277	−	12.4689i	−0.0629194	−	0.782366i
$255$	0.642561	−	8.49722i	0.0402387	−	0.532117i
$256$	12.8145	−	9.58069i	0.800904	−	0.598793i
$257$			7.46929i			0.465922i	0.972486	+	0.232961i	$0.0748414\pi$
$257$			7.46929i			0.465922i	−0.972486	+	0.232961i	$0.925159\pi$
$258$	−4.26665	+	7.47219i	−0.265630	+	0.465198i
$259$	19.9702	−	3.83098i	1.24089	−	0.238045i
$260$	0.494693	+	0.187957i	0.0306796	+	0.0116566i
$261$	2.51646	−	16.5437i	0.155765	−	1.02403i
$262$	6.11436	−	0.491728i	0.377747	−	0.0303791i
$263$	30.2358			1.86442			0.932211	−	0.361915i	$-0.117877\pi$
$263$	30.2358			1.86442			0.932211	+	0.361915i	$0.117877\pi$
$264$	14.6773	−	12.0859i	0.903327	−	0.743833i
$265$	8.00415	−	13.8636i	0.491691	−	0.851634i
$266$	−6.32854	−	22.8862i	−0.388028	−	1.40324i
$267$	9.19021	−	13.4600i	0.562432	−	0.823738i
$268$	−24.0838	+	19.6394i	−1.47115	+	1.19967i
$269$	−19.7088	−	11.3789i	−1.20167	−	0.693782i	−0.240740	−	0.970590i	$-0.577390\pi$
$269$	−19.7088	−	11.3789i	−1.20167	−	0.693782i	−0.960925	+	0.276808i	$0.910723\pi$
$270$	11.2357	+	1.65424i	0.683783	+	0.100674i
$271$	13.3326	−	7.69759i	0.809899	−	0.467595i	−0.0370221	−	0.999314i	$-0.511787\pi$
$271$	13.3326	−	7.69759i	0.809899	−	0.467595i	0.846921	+	0.531719i	$0.178454\pi$
$272$	12.4732	+	2.56226i	0.756301	+	0.155360i
$273$	0.719697	+	0.312412i	0.0435580	+	0.0189080i
$274$	−2.18993	−	27.2306i	−0.132299	−	1.64506i
$275$	−10.1353			−0.611183
$276$	−1.76085	+	1.22708i	−0.105991	+	0.0738613i
$277$	−3.39814			−0.204175			−0.102087	−	0.994775i	$-0.532552\pi$
$277$	−3.39814			−0.204175			−0.102087	+	0.994775i	$0.532552\pi$
$278$	18.9682	+	9.00761i	1.13764	+	0.540240i
$279$	3.55298	−	23.3580i	0.212711	−	1.39840i
$280$	11.5149	+	1.07769i	0.688147	+	0.0644045i
$281$	10.5295	−	6.07918i	0.628134	−	0.362654i	−0.151895	−	0.988397i	$-0.548538\pi$
$281$	10.5295	−	6.07918i	0.628134	−	0.362654i	0.780029	+	0.625743i	$0.215204\pi$
$282$	−0.0402140	−	8.42590i	−0.00239471	−	0.501755i
$283$	0.511971	−	0.295586i	0.0304335	−	0.0175708i	−0.484706	−	0.874677i	$-0.661073\pi$
$283$	0.511971	−	0.295586i	0.0304335	−	0.0175708i	0.515140	+	0.857106i	$0.327740\pi$
$284$	10.0286	−	1.62353i	0.595085	−	0.0963388i
$285$	14.0293	+	9.57890i	0.831022	+	0.567405i
$286$	−0.403098	+	0.848843i	−0.0238357	+	0.0501931i
$287$	−3.74223	+	3.23698i	−0.220897	+	0.191073i
$288$	−4.58063	+	16.3407i	−0.269916	+	0.962884i
$289$	−3.43291	−	5.94598i	−0.201936	−	0.349764i
$290$	6.92245	+	10.0354i	0.406500	+	0.589301i
$291$	−14.6630	−	10.0116i	−0.859559	−	0.586890i
$292$	−7.83166	+	20.6125i	−0.458313	+	1.20626i
$293$	−3.94136	−	2.27554i	−0.230257	−	0.132939i	0.380434	−	0.924808i	$-0.375775\pi$
$293$	−3.94136	−	2.27554i	−0.230257	−	0.132939i	−0.610690	+	0.791869i	$0.709108\pi$
$294$	16.9792	+	2.38862i	0.990249	+	0.139307i
$295$	7.53909	−	4.35269i	0.438943	−	0.253424i
$296$	−15.0443	−	15.6915i	−0.874434	−	0.912048i
$297$	−4.52732	+	19.6515i	−0.262702	+	1.14030i
$298$	−0.00779147	−	0.0968826i	−0.000451348	−	0.00561226i
$299$	0.0530374	−	0.0918635i	0.00306723	−	0.00531260i
$300$	7.42216	−	5.17226i	0.428519	−	0.298621i
$301$	−1.75098	−	9.12753i	−0.100925	−	0.526102i
$302$	−0.440862	−	5.48186i	−0.0253687	−	0.315446i
$303$	−8.03834	−	16.7207i	−0.461791	−	0.960580i
$304$	−16.8562	+	18.9801i	−0.966768	+	1.08858i
$305$	12.4988	+	7.21621i	0.715681	+	0.413199i
$306$	−12.1445	+	5.90988i	−0.694254	+	0.337845i
$307$			21.3991i			1.22131i	0.791896	+	0.610655i	$0.209094\pi$
$307$			21.3991i			1.22131i	−0.791896	+	0.610655i	$0.790906\pi$
$308$	−3.54659	+	20.2278i	−0.202085	+	1.15258i
$309$	−6.24351	−	12.9873i	−0.355181	−	0.738819i
$310$	9.77377	+	14.1690i	0.555113	+	0.804744i
$311$	−3.85626	−	6.67923i	−0.218668	−	0.378744i	0.735733	−	0.677272i	$-0.236838\pi$
$311$	−3.85626	−	6.67923i	−0.218668	−	0.378744i	−0.954401	+	0.298527i	$0.903505\pi$
$312$	−0.137991	−	0.827321i	−0.00781219	−	0.0468378i
$313$	13.9160	−	24.1031i	0.786576	−	1.36239i	−0.141477	−	0.989942i	$-0.545185\pi$
$313$	13.9160	−	24.1031i	0.786576	−	1.36239i	0.928053	−	0.372448i	$-0.121482\pi$
$314$	−7.98037	−	11.5691i	−0.450359	−	0.652882i
$315$	−10.3789	+	6.53856i	−0.584783	+	0.368406i
$316$	−1.82451	−	0.693215i	−0.102637	−	0.0389964i
$317$	−27.5746	−	15.9202i	−1.54875	−	0.894169i	−0.998238	−	0.0593394i	$-0.981101\pi$
$317$	−27.5746	−	15.9202i	−1.54875	−	0.894169i	−0.550508	−	0.834830i	$-0.685566\pi$
$318$	−25.3721	+	0.121092i	−1.42279	+	0.00679052i
$319$	−18.7479	+	10.8241i	−1.04968	+	0.606033i
$320$	−5.72571	−	10.9580i	−0.320077	−	0.612573i
$321$	23.7880	+	16.2420i	1.32772	+	0.906539i
$322$	0.582100	−	2.24392i	0.0324392	−	0.125049i
$323$	−20.2024			−1.12409
$324$	−6.71318	−	16.7013i	−0.372954	−	0.927850i
$325$	−0.223559	+	0.387215i	−0.0124008	+	0.0214788i
$326$	−7.16471	+	4.94222i	−0.396817	+	0.273724i
$327$	0.355714	−	4.70396i	0.0196710	−	0.260130i
$328$	5.07940	+	1.47630i	0.280463	+	0.0815149i
$329$	5.95399	+	6.88333i	0.328254	+	0.379490i
$330$	−7.40662	−	12.6884i	−0.407721	−	0.698474i
$331$	14.1877	+	8.19129i	0.779828	+	0.450234i	0.836369	−	0.548166i	$-0.184674\pi$
$331$	14.1877	+	8.19129i	0.779828	+	0.450234i	−0.0565413	+	0.998400i	$0.518007\pi$
$332$	5.69921	+	6.98895i	0.312785	+	0.383569i
$333$	22.7948	+	3.46731i	1.24915	+	0.190008i
$334$	−6.83211	+	14.3870i	−0.373836	+	0.787224i
$335$	12.0069	+	20.7965i	0.656005	+	1.13623i
$336$	−7.72545	−	16.6228i	−0.421458	−	0.906848i
$337$	−12.2748	+	21.2605i	−0.668649	+	1.15813i	0.309634	+	0.950856i	$0.399794\pi$
$337$	−12.2748	+	21.2605i	−0.668649	+	1.15813i	−0.978282	+	0.207277i	$0.933540\pi$
$338$	−10.4156	−	15.0994i	−0.566534	−	0.821301i
$339$	−22.1862	−	1.67773i	−1.20499	−	0.0911215i
$340$	3.49483	−	9.19821i	0.189534	−	0.498843i
$341$	−26.4701	+	15.2825i	−1.43343	+	0.827593i
$342$	1.90207	−	26.8571i	0.102852	−	1.45226i
$343$	−15.6062	+	9.97223i	−0.842658	+	0.538450i
$344$	−7.17191	+	6.87612i	−0.386683	+	0.370736i
$345$	0.718570	+	1.49471i	0.0386865	+	0.0804726i
$346$	21.3712	+	10.1487i	1.14892	+	0.545598i
$347$	13.4665	+	23.3246i	0.722919	+	1.25213i	0.959825	+	0.280600i	$0.0905334\pi$
$347$	13.4665	+	23.3246i	0.722919	+	1.25213i	−0.236906	+	0.971533i	$0.576133\pi$
$348$	8.20543	−	17.4940i	0.439857	−	0.937776i
$349$	−2.85095	−	4.93799i	−0.152608	−	0.264325i	0.779578	−	0.626306i	$-0.215434\pi$
$349$	−2.85095	−	4.93799i	−0.152608	−	0.264325i	−0.932185	+	0.361981i	$0.882100\pi$
$350$	−2.45362	+	9.45837i	−0.131151	+	0.505571i
$351$	0.650914	+	0.606424i	0.0347432	+	0.0323685i
$352$	20.2105	−	8.57457i	1.07723	−	0.457026i
$353$			17.2421i			0.917705i	0.888512	+	0.458853i	$0.151739\pi$
$353$			17.2421i			0.917705i	−0.888512	+	0.458853i	$0.848261\pi$
$354$	−11.9819	−	6.84169i	−0.636829	−	0.363632i
$355$		−	7.85031i		−	0.416651i
$356$	14.5850	−	11.8934i	0.773001	−	0.630351i
$357$	5.80891	−	13.3819i	0.307440	−	0.708243i
$358$	−8.55434	+	18.0137i	−0.452111	+	0.952054i
$359$	−15.0739	−	26.1087i	−0.795568	−	1.37796i	−0.922478	−	0.386050i	$-0.873839\pi$
$359$	−15.0739	−	26.1087i	−0.795568	−	1.37796i	0.126910	−	0.991914i	$-0.459494\pi$
$360$	11.8991	+	5.51204i	0.627135	+	0.290510i
$361$	10.6367	−	18.4233i	0.559826	−	0.969646i
$362$	25.4075	−	2.04332i	1.33539	−	0.107394i
$363$	6.34117	−	3.04846i	0.332825	−	0.160003i
$364$	0.694562	+	0.581666i	0.0364050	+	0.0304876i
$365$	14.7562	+	8.51947i	0.772372	+	0.445929i
$366$	−0.109172	−	22.8744i	−0.00570650	−	1.19566i
$367$			21.2443i			1.10895i	0.832202	+	0.554473i	$0.187080\pi$
$367$			21.2443i			1.10895i	−0.832202	+	0.554473i	$0.812920\pi$
$368$	−2.35167	+	0.781919i	−0.122589	+	0.0407603i
$369$	−5.22540	+	2.04266i	−0.272023	+	0.106337i
$370$	−13.8273	+	9.53811i	−0.718849	+	0.495863i
$371$	20.7271	−	17.9287i	1.07610	−	0.930810i
$372$	11.5852	−	24.6997i	0.600665	−	1.28062i
$373$	10.0574			0.520750			0.260375	−	0.965508i	$-0.416154\pi$
$373$	10.0574			0.520750			0.260375	+	0.965508i	$0.416154\pi$
$374$	15.7832	+	7.49510i	0.816128	+	0.387562i
$375$	−8.82786	−	18.3630i	−0.455869	−	0.948262i
$376$	2.71545	−	9.34288i	0.140039	−	0.481822i
$377$			0.955004i			0.0491852i
$378$	17.2429	+	8.98227i	0.886881	+	0.461998i
$379$		−	1.19201i		−	0.0612292i	−0.999531	−	0.0306146i	$-0.990254\pi$
$379$		−	1.19201i		−	0.0612292i	0.999531	−	0.0306146i	$-0.00974646\pi$
$380$	12.3965	+	15.2018i	0.635926	+	0.779837i
$381$	6.63797	+	13.8078i	0.340073	+	0.707394i
$382$	7.35357	−	15.4851i	0.376241	−	0.792288i
$383$	−25.8678			−1.32178			−0.660892	−	0.750481i	$-0.729822\pi$
$383$	−25.8678			−1.32178			−0.660892	+	0.750481i	$0.729822\pi$
$384$	−10.4245	+	16.5931i	−0.531974	+	0.846761i
$385$	14.9918	+	5.20329i	0.764054	+	0.265184i
$386$	4.83187	+	7.00473i	0.245936	+	0.356531i
$387$	1.58476	−	10.4185i	0.0805580	−	0.529603i
$388$	−12.9564	−	15.8885i	−0.657763	−	0.806616i
$389$			8.19567i			0.415537i	0.978178	+	0.207769i	$0.0666201\pi$
$389$			8.19567i			0.415537i	−0.978178	+	0.207769i	$0.933380\pi$
$390$	−0.648124	+	0.00309328i	−0.0328190	+	0.000156634i
$391$	−1.70809	−	0.986165i	−0.0863817	−	0.0498725i
$392$	18.0181	+	8.20655i	0.910052	+	0.414493i
$393$	−6.77092	+	3.25506i	−0.341548	+	0.164196i
$394$	−1.32741	−	16.5056i	−0.0668740	−	0.831541i
$395$	−0.754097	+	1.30613i	−0.0379427	+	0.0657187i
$396$	−11.4500	+	20.2765i	−0.575383	+	1.01893i
$397$	−5.78210	−	10.0149i	−0.290195	−	0.502633i	0.683660	−	0.729800i	$-0.260387\pi$
$397$	−5.78210	−	10.0149i	−0.290195	−	0.502633i	−0.973856	+	0.227167i	$0.927054\pi$
$398$	12.8041	+	6.08040i	0.641811	+	0.304783i
$399$	17.3127	+	23.3669i	0.866717	+	1.16981i
$400$	9.91253	−	3.29587i	0.495627	−	0.164794i
$401$		−	4.34325i		−	0.216892i	−0.994102	−	0.108446i	$-0.965413\pi$
$401$		−	4.34325i		−	0.216892i	0.994102	−	0.108446i	$-0.0345874\pi$
$402$	18.8727	−	33.0518i	0.941287	−	1.64848i
$403$			1.34837i			0.0671669i
$404$	−3.42355	−	21.1473i	−0.170328	−	1.05212i
$405$	−13.5688	+	3.05838i	−0.674240	+	0.151972i
$406$	5.56254	+	20.1160i	0.276064	+	0.998342i
$407$	−14.9140	−	25.8318i	−0.739260	−	1.28044i
$408$	−15.3830	+	2.56577i	−0.761572	+	0.127024i
$409$	−3.80613	−	6.59241i	−0.188201	−	0.325973i	0.756450	−	0.654052i	$-0.226932\pi$
$409$	−3.80613	−	6.59241i	−0.188201	−	0.325973i	−0.944650	+	0.328079i	$0.893599\pi$
$410$	1.75338	−	3.69227i	0.0865934	−	0.182348i
$411$	14.4966	+	30.1546i	0.715062	+	1.48742i
$412$	−2.65913	−	16.4255i	−0.131006	−	0.809225i
$413$	14.6362	−	2.80774i	0.720202	−	0.138160i
$414$	1.47183	−	2.17788i	0.0723363	−	0.107037i
$415$	6.03500	−	3.48431i	0.296246	−	0.171038i
$416$	0.118204	−	0.961265i	0.00579544	−	0.0471299i
$417$	−25.6444	−	1.93923i	−1.25581	−	0.0949646i
$418$	−28.6715	+	19.7776i	−1.40237	+	0.967355i
$419$	−8.94987	+	15.5016i	−0.437230	+	0.757304i	−0.997475	−	0.0710229i	$-0.977374\pi$
$419$	−8.94987	+	15.5016i	−0.437230	+	0.757304i	0.560245	+	0.828327i	$0.310707\pi$
$420$	−13.6339	+	3.84023i	−0.665268	+	0.187384i
$421$	−9.72803	−	16.8494i	−0.474115	−	0.821191i	0.525446	−	0.850827i	$-0.323899\pi$
$421$	−9.72803	−	16.8494i	−0.474115	−	0.821191i	−0.999561	+	0.0296358i	$0.990565\pi$
$422$	1.54951	+	0.735829i	0.0754288	+	0.0358196i
$423$	3.75720	+	9.61142i	0.182681	+	0.467323i
$424$	−28.1333	−	8.17677i	−1.36627	−	0.397099i
$425$	7.19978	+	4.15679i	0.349240	+	0.201634i
$426$	−10.7456	+	6.27252i	−0.520624	+	0.303905i
$427$	16.1637	+	18.6867i	0.782218	+	0.904311i
$428$	21.0194	+	25.7762i	1.01601	+	1.24594i
$429$	0.0867822	−	1.14761i	0.00418988	−	0.0554070i
$430$	4.35946	+	6.31989i	0.210232	+	0.304772i
$431$	5.20757	−	9.01978i	0.250840	−	0.434467i	−0.712917	−	0.701248i	$-0.752627\pi$
$431$	5.20757	−	9.01978i	0.250840	−	0.434467i	0.963757	+	0.266781i	$0.0859599\pi$
$432$	−1.96261	−	20.6917i	−0.0944261	−	0.995532i
$433$	−9.88442			−0.475015			−0.237507	−	0.971386i	$-0.576330\pi$
$433$	−9.88442			−0.475015			−0.237507	+	0.971386i	$0.576330\pi$
$434$	7.85372	+	28.4017i	0.376991	+	1.36333i
$435$	−12.3312	−	8.41948i	−0.591234	−	0.403683i
$436$	1.93470	−	5.09202i	0.0926551	−	0.243863i
$437$	3.40506	−	1.96591i	0.162886	−	0.0940424i
$438$	−0.128888	−	27.0055i	−0.00615853	−	1.29037i
$439$	−13.3219	−	7.69141i	−0.635820	−	0.367091i	0.147182	−	0.989109i	$-0.452980\pi$
$439$	−13.3219	−	7.69141i	−0.635820	−	0.367091i	−0.783003	+	0.622018i	$0.786313\pi$
$440$	−4.04489	−	16.4755i	−0.192833	−	0.785441i
$441$	−20.4560	+	4.74890i	−0.974095	+	0.226138i
$442$	0.634481	−	0.437666i	0.0301792	−	0.0208176i
$443$	3.51409	−	6.08658i	0.166959	−	0.289182i	−0.770390	−	0.637573i	$-0.779938\pi$
$443$	3.51409	−	6.08658i	0.166959	−	0.289182i	0.937349	+	0.348391i	$0.113272\pi$
$444$	24.1041	+	11.3059i	1.14393	+	0.536553i
$445$	−7.27125	−	12.5942i	−0.344690	−	0.597021i
$446$	−24.3877	+	16.8227i	−1.15479	+	0.796577i
$447$	0.0515767	+	0.107286i	0.00243950	+	0.00507444i
$448$	−3.10917	−	20.9364i	−0.146895	−	0.989152i
$449$		−	23.0647i		−	1.08849i	−0.838926	−	0.544246i	$-0.816816\pi$
$449$		−	23.0647i		−	1.08849i	0.838926	−	0.544246i	$-0.183184\pi$
$450$	−6.20391	+	9.18002i	−0.292455	+	0.432750i
$451$	6.28567	+	3.62903i	0.295981	+	0.170884i
$452$	−24.0165	−	9.12499i	−1.12964	−	0.429203i
$453$	2.91834	+	6.07051i	0.137116	+	0.285217i
$454$	29.0528	−	2.33648i	1.36352	−	0.109656i
$455$	0.529469	−	0.457984i	0.0248219	−	0.0214706i
$456$	10.9034	−	29.1149i	0.510598	−	1.36343i
$457$	2.48382	−	4.30210i	0.116188	−	0.201244i	−0.802066	−	0.597235i	$-0.796266\pi$
$457$	2.48382	−	4.30210i	0.116188	−	0.201244i	0.918254	+	0.395992i	$0.129599\pi$
$458$	−25.4893	+	2.04990i	−1.19104	+	0.0957854i
$459$	11.2757	−	12.1029i	0.526305	−	0.564917i
$460$	0.306041	+	1.89042i	0.0142692	+	0.0881412i
$461$	−26.7954	+	15.4703i	−1.24799	+	0.720525i	−0.970708	−	0.240264i	$-0.922766\pi$
$461$	−26.7954	+	15.4703i	−1.24799	+	0.720525i	−0.277279	+	0.960789i	$0.589433\pi$
$462$	−4.85641	−	24.6785i	−0.225941	−	1.14815i
$463$	18.3355	+	10.5860i	0.852123	+	0.491973i	0.861366	−	0.507984i	$-0.169609\pi$
$463$	18.3355	+	10.5860i	0.852123	+	0.491973i	−0.00924383	+	0.999957i	$0.502942\pi$
$464$	14.8159	−	16.6827i	0.687812	−	0.774476i
$465$	−17.4103	−	11.8874i	−0.807384	−	0.551266i
$466$	19.2251	−	13.2615i	0.890585	−	0.614326i
$467$	12.4027	+	21.4821i	0.573928	+	0.994073i	0.996157	+	0.0875838i	$0.0279146\pi$
$467$	12.4027	+	21.4821i	0.573928	+	0.994073i	−0.422229	+	0.906489i	$0.638752\pi$
$468$	0.522096	+	0.884686i	0.0241339	+	0.0408946i
$469$	7.74512	+	40.3739i	0.357636	+	1.86429i
$470$	−6.79145	−	3.22512i	−0.313266	−	0.148764i
$471$	14.2157	+	9.70619i	0.655024	+	0.447237i
$472$	−11.0260	−	11.5003i	−0.507515	−	0.529346i
$473$	−11.8066	+	6.81656i	−0.542869	+	0.313426i
$474$	2.39038	−	0.0114085i	0.109794	−	0.000524009i
$475$	−14.3527	+	8.28654i	−0.658547	+	0.380213i
$476$	10.8154	−	12.9145i	0.495721	−	0.591936i
$477$	28.9419	−	11.3137i	1.32516	−	0.518018i
$478$	−3.89728	+	8.20689i	−0.178258	+	0.375375i
$479$	−1.63593			−0.0747475			−0.0373737	−	0.999301i	$-0.511899\pi$
$479$	−1.63593			−0.0747475			−0.0373737	+	0.999301i	$0.511899\pi$
$480$	11.3699	+	10.0009i	0.518963	+	0.456479i
$481$	−1.31585			−0.0599978
$482$	−6.15063	+	0.494645i	−0.280154	+	0.0225305i
$483$	0.323124	+	2.82075i	0.0147027	+	0.128348i
$484$	8.01991	−	1.29835i	0.364541	−	0.0590159i
$485$	−13.7198	+	7.92113i	−0.622984	+	0.359680i
$486$	15.0280	+	16.1294i	0.681686	+	0.731645i
$487$	12.4864	+	7.20905i	0.565815	+	0.326673i	0.755476	−	0.655176i	$-0.227406\pi$
$487$	12.4864	+	7.20905i	0.565815	+	0.326673i	−0.189661	+	0.981850i	$0.560739\pi$
$488$	7.37183	−	25.3638i	0.333707	−	1.14816i
$489$	6.01101	−	8.80373i	0.271827	−	0.398119i
$490$	8.48505	−	12.7308i	0.383316	−	0.575121i
$491$	−5.41087	+	9.37190i	−0.244189	+	0.422948i	−0.961903	−	0.273390i	$-0.911855\pi$
$491$	−5.41087	+	9.37190i	−0.244189	+	0.422948i	0.717714	+	0.696338i	$0.245188\pi$
$492$	−6.45500	+	0.550142i	−0.291014	+	0.0248023i
$493$	17.7571			0.799740
$494$	0.123176	+	1.53162i	0.00554194	+	0.0689109i
$495$	14.0530	+	11.2380i	0.631635	+	0.505112i
$496$	20.9185	−	23.5542i	0.939269	−	1.05762i
$497$	4.40657	−	12.6963i	0.197661	−	0.569507i
$498$	−9.59141	−	5.47673i	−0.429801	−	0.245418i
$499$		−	16.9229i		−	0.757571i	−0.925484	−	0.378786i	$-0.876342\pi$
$499$		−	16.9229i		−	0.757571i	0.925484	−	0.378786i	$-0.123658\pi$
$500$	−3.75981	−	23.2244i	−0.168144	−	1.03863i
$501$	1.47087	−	19.4508i	0.0657138	−	0.868998i
$502$	6.52752	−	0.524956i	0.291338	−	0.0234299i
$503$	−15.3914			−0.686267			−0.343134	−	0.939287i	$-0.611488\pi$
$503$	−15.3914			−0.686267			−0.343134	+	0.939287i	$0.611488\pi$
$504$	16.1503	+	15.5938i	0.719391	+	0.694605i
$505$	−16.5540			−0.736644
$506$	−3.38957	+	0.272595i	−0.150685	+	0.0121183i
$507$	18.5536	+	12.6680i	0.823995	+	0.562608i
$508$	2.82713	+	17.4632i	0.125434	+	0.774805i
$509$		−	8.53267i		−	0.378204i	−0.981957	−	0.189102i	$-0.939442\pi$
$509$		−	8.53267i		−	0.378204i	0.981957	−	0.189102i	$-0.0605577\pi$
$510$	0.0575156	+	12.0511i	0.00254684	+	0.533630i
$511$	19.0829	+	22.0615i	0.844179	+	0.975944i
$512$	−16.9779	+	14.9583i	−0.750325	+	0.661069i
$513$	9.65570	+	31.5301i	0.426310	+	1.39209i
$514$	−0.846776	−	10.5292i	−0.0373497	−	0.464422i
$515$	−12.8578			−0.566581
$516$	5.16744	−	11.0170i	0.227484	−	0.484995i
$517$	6.67512	−	11.5616i	0.293572	−	0.508481i
$518$	−27.7169	+	7.66436i	−1.21781	+	0.336752i
$519$	−28.8931	−	2.18490i	−1.26827	−	0.0959065i
$520$	−0.718659	−	0.208874i	−0.0315153	−	0.00915973i
$521$	−6.78339	−	3.91639i	−0.297186	−	0.171580i	0.343992	−	0.938972i	$-0.388221\pi$
$521$	−6.78339	−	3.91639i	−0.297186	−	0.171580i	−0.641178	+	0.767392i	$0.721554\pi$
$522$	−1.67184	+	23.6063i	−0.0731746	+	1.03322i
$523$	9.19266	−	5.30738i	0.401967	−	0.232076i	−0.285365	−	0.958419i	$-0.592115\pi$
$523$	9.19266	−	5.30738i	0.401967	−	0.232076i	0.687332	+	0.726343i	$0.258782\pi$
$524$	−8.56344	+	1.38634i	−0.374096	+	0.0605626i
$525$	−1.36200	−	11.8898i	−0.0594428	−	0.518912i
$526$	−42.6223	+	3.42777i	−1.85842	+	0.149458i
$527$	25.0712			1.09212
$528$	−19.3199	+	18.7009i	−0.840792	+	0.813853i
$529$	−22.6161			−0.983311
$530$	−9.71147	+	20.4504i	−0.421839	+	0.888309i
$531$	16.7064	+	2.54121i	0.724995	+	0.110279i
$532$	11.5157	+	31.5443i	0.499267	+	1.36762i
$533$	0.277290	−	0.160094i	0.0120108	−	0.00693443i
$534$	−11.4292	+	20.0159i	−0.494588	+	0.866173i
$535$	22.2579	−	12.8506i	0.962291	−	0.555579i
$536$	31.7236	−	30.4152i	1.37025	−	1.31374i
$537$	1.84165	−	24.3539i	0.0794730	−	1.05095i
$538$	29.0727	+	13.8060i	1.25341	+	0.595220i
$539$	21.3255	+	16.8305i	0.918556	+	0.724943i
$540$	−16.0261	−	1.05815i	−0.689653	−	0.0455357i
$541$	21.3452	+	36.9709i	0.917701	+	1.58950i	0.802898	+	0.596116i	$0.203290\pi$
$541$	21.3452	+	36.9709i	0.917701	+	1.58950i	0.114803	+	0.993388i	$0.463376\pi$
$542$	−17.9218	+	12.3625i	−0.769808	+	0.531014i
$543$	−28.1358	+	13.5260i	−1.20742	+	0.580458i
$544$	−17.8735	−	2.19786i	−0.766321	−	0.0942325i
$545$	−3.64529	−	2.10461i	−0.156147	−	0.0901516i
$546$	−1.04995	−	0.358805i	−0.0449336	−	0.0153554i
$547$	23.1435	−	13.3619i	0.989546	−	0.571315i	0.0844076	−	0.996431i	$-0.473100\pi$
$547$	23.1435	−	13.3619i	0.989546	−	0.571315i	0.905139	+	0.425117i	$0.139767\pi$
$548$	6.17413	+	38.1376i	0.263746	+	1.62916i
$549$	10.1999	+	26.0928i	0.435323	+	1.11361i
$550$	14.2874	−	1.14902i	0.609217	−	0.0489943i
$551$	−17.6993	+	30.6562i	−0.754017	+	1.30600i
$552$	2.34309	−	1.92939i	0.0997285	−	0.0821202i
$553$	−1.95276	+	1.68912i	−0.0830400	+	0.0718285i
$554$	4.79023	−	0.385239i	0.203518	−	0.0163673i
$555$	11.6008	−	16.9905i	0.492426	−	0.721208i
$556$	−27.7600	−	10.5473i	−1.17728	−	0.447305i
$557$	−35.8496	−	20.6977i	−1.51899	−	0.876992i	−0.999750	−	0.0223660i	$-0.992880\pi$
$557$	−35.8496	−	20.6977i	−1.51899	−	0.876992i	−0.519244	−	0.854626i	$-0.673787\pi$
$558$	−2.36047	+	33.3296i	−0.0999266	+	1.41096i
$559$			0.601421i			0.0254374i
$560$	−16.3543	−	0.213765i	−0.691096	−	0.00903321i
$561$	−21.3383	−	1.61361i	−0.900905	−	0.0681265i
$562$	−14.1538	+	9.76329i	−0.597041	+	0.411840i
$563$	−4.73709	−	8.20489i	−0.199645	−	0.345795i	0.748769	−	0.662832i	$-0.230645\pi$
$563$	−4.73709	−	8.20489i	−0.199645	−	0.345795i	−0.948413	+	0.317037i	$0.897312\pi$
$564$	1.01191	+	11.8731i	0.0426092	+	0.499948i
$565$	−9.92638	+	17.1930i	−0.417606	+	0.723315i
$566$	−0.688196	+	0.474718i	−0.0289270	+	0.0199539i
$567$	−23.6616	−	2.67019i	−0.993693	−	0.112138i
$568$	−13.9528	+	3.42554i	−0.585448	+	0.143733i
$569$	15.2617	+	8.81136i	0.639804	+	0.369391i	0.784539	−	0.620079i	$-0.212900\pi$
$569$	15.2617	+	8.81136i	0.639804	+	0.369391i	−0.144735	+	0.989470i	$0.546233\pi$
$570$	−20.8625	−	11.9126i	−0.873833	−	0.498962i
$571$	−11.5286	+	6.65604i	−0.482457	+	0.278546i	−0.721440	−	0.692477i	$-0.756519\pi$
$571$	−11.5286	+	6.65604i	−0.482457	+	0.278546i	0.238983	+	0.971024i	$0.423186\pi$
$572$	0.472000	−	1.24228i	0.0197353	−	0.0519423i
$573$	−1.58314	+	20.9354i	−0.0661365	+	0.874588i
$574$	4.90831	−	4.98730i	0.204869	−	0.208166i
$575$	−1.61800			−0.0674754
$576$	4.60464	−	23.5541i	0.191860	−	0.981422i
$577$	4.73291	−	8.19764i	0.197034	−	0.341272i	−0.750532	−	0.660835i	$-0.770202\pi$
$577$	4.73291	−	8.19764i	0.197034	−	0.341272i	0.947565	+	0.319562i	$0.103536\pi$
$578$	5.51333	+	7.99265i	0.229324	+	0.332450i
$579$	−8.60715	−	5.87679i	−0.357701	−	0.244231i
$580$	−10.8960	−	13.3618i	−0.452432	−	0.554818i
$581$	11.7162	−	2.24758i	0.486071	−	0.0932452i
$582$	21.8048	+	12.4507i	0.903840	+	0.516096i
$583$	−34.8144	−	20.1001i	−1.44187	−	0.832462i
$584$	8.70320	−	29.9445i	0.360141	−	1.23911i
$585$	0.739315	−	0.289006i	0.0305669	−	0.0119489i
$586$	5.81396	+	2.76093i	0.240172	+	0.114053i
$587$	−2.72485	−	4.71959i	−0.112467	−	0.194798i	0.804297	−	0.594227i	$-0.202542\pi$
$587$	−2.72485	−	4.71959i	−0.112467	−	0.194798i	−0.916764	+	0.399429i	$0.869209\pi$
$588$	−24.2058	−	1.44226i	−0.998230	−	0.0594776i
$589$	−24.9896	+	43.2833i	−1.02968	+	1.78346i
$590$	−10.1341	+	6.99052i	−0.417215	+	0.287795i
$591$	8.78698	+	18.2780i	0.361448	+	0.751856i
$592$	22.9863	+	20.4141i	0.944732	+	0.839016i
$593$	13.8445	−	7.99315i	0.568527	−	0.328239i	−0.188034	−	0.982163i	$-0.560211\pi$
$593$	13.8445	−	7.99315i	0.568527	−	0.328239i	0.756561	+	0.653923i	$0.226878\pi$
$594$	4.15415	−	28.2152i	0.170447	−	1.15769i
$595$	−8.51564	−	9.84481i	−0.349107	−	0.403598i
$596$	0.0219667	+	0.135688i	0.000899791	+	0.00555801i
$597$	−17.3107	−	1.30904i	−0.708480	−	0.0535754i
$598$	−0.0643505	+	0.135509i	−0.00263149	+	0.00554139i
$599$	2.32256	+	4.02279i	0.0948973	+	0.164367i	0.909566	−	0.415560i	$-0.136414\pi$
$599$	2.32256	+	4.02279i	0.0948973	+	0.164367i	−0.814668	+	0.579927i	$0.803081\pi$
$600$	−9.87637	+	8.13258i	−0.403201	+	0.332011i
$601$	9.45270	+	16.3726i	0.385584	+	0.667851i	0.991850	−	0.127411i	$-0.0406667\pi$
$601$	9.45270	+	16.3726i	0.385584	+	0.667851i	−0.606266	+	0.795262i	$0.707333\pi$
$602$	3.50305	+	12.6682i	0.142774	+	0.516318i
$603$	−7.00990	+	46.0844i	−0.285465	+	1.87670i
$604$	1.24293	+	7.67760i	0.0505742	+	0.312397i
$605$		−	6.27795i		−	0.255235i
$606$	13.2269	+	22.6593i	0.537307	+	0.920470i
$607$			2.48161i			0.100725i	0.998731	+	0.0503627i	$0.0160377\pi$
$607$			2.48161i			0.100725i	−0.998731	+	0.0503627i	$0.983962\pi$
$608$	21.6098	−	28.6664i	0.876393	−	1.16258i
$609$	−15.2171	−	20.5386i	−0.616629	−	0.832266i
$610$	−18.4372	−	8.75545i	−0.746501	−	0.354498i
$611$	−0.294471	−	0.510039i	−0.0119130	−	0.0206340i
$612$	16.4496	−	9.70772i	0.664937	−	0.392411i
$613$	1.20503	−	2.08717i	0.0486706	−	0.0842999i	−0.840664	−	0.541557i	$-0.817835\pi$
$613$	1.20503	−	2.08717i	0.0486706	−	0.0842999i	0.889334	+	0.457257i	$0.151168\pi$
$614$	−2.42596	−	30.1655i	−0.0979040	−	1.21738i
$615$	−0.377483	+	4.99183i	−0.0152216	+	0.201290i
$616$	2.70632	−	28.9164i	0.109041	−	1.16507i
$617$	28.2269	+	16.2968i	1.13637	+	0.656084i	0.945530	−	0.325536i	$-0.105545\pi$
$617$	28.2269	+	16.2968i	1.13637	+	0.656084i	0.190842	+	0.981621i	$0.438878\pi$
$618$	10.2736	+	17.5998i	0.413264	+	0.707969i
$619$		−	7.36201i		−	0.295904i	−0.988995	−	0.147952i	$-0.952732\pi$
$619$		−	7.36201i		−	0.295904i	0.988995	−	0.147952i	$-0.0472681\pi$
$620$	−15.3840	−	18.8654i	−0.617837	−	0.757654i
$621$	−0.722741	+	3.13717i	−0.0290026	+	0.125890i
$622$	6.19323	+	8.97829i	0.248326	+	0.359996i
$623$	−4.69037	−	24.4501i	−0.187916	−	0.979572i
$624$	0.288312	+	1.15060i	0.0115417	+	0.0460609i
$625$	−5.12231			−0.204892
$626$	−16.8843	+	35.5549i	−0.674832	+	1.42106i
$627$	24.0547	−	35.2305i	0.960651	−	1.40697i
$628$	12.5612	+	15.4038i	0.501246	+	0.614679i
$629$			24.4667i			0.975550i
$630$	13.8894	−	10.3938i	0.553369	−	0.414099i
$631$		−	8.28274i		−	0.329731i	−0.986316	−	0.164865i	$-0.947281\pi$
$631$		−	8.28274i		−	0.329731i	0.986316	−	0.164865i	$-0.0527190\pi$
$632$	2.65053	+	0.770360i	0.105432	+	0.0306433i
$633$	−2.09488	−	0.158415i	−0.0832641	−	0.00629644i
$634$	40.6758	+	19.3161i	1.61544	+	0.767139i
$635$	13.6701			0.542482
$636$	35.7523	−	3.04707i	1.41767	−	0.120824i
$637$	1.11339	−	0.443493i	0.0441140	−	0.0175718i
$638$	25.2011	−	17.3837i	0.997721	−	0.688229i
$639$	9.51728	−	11.9012i	0.376498	−	0.470805i
$640$	9.31360	+	14.7980i	0.368153	+	0.584943i
$641$			37.0947i			1.46515i	0.680686	+	0.732575i	$0.261682\pi$
$641$			37.0947i			1.46515i	−0.680686	+	0.732575i	$0.738318\pi$
$642$	−35.3744	−	20.1989i	−1.39611	−	0.797188i
$643$	−16.1566	−	9.32802i	−0.637154	−	0.367861i	0.146363	−	0.989231i	$-0.453243\pi$
$643$	−16.1566	−	9.32802i	−0.637154	−	0.367861i	−0.783518	+	0.621370i	$0.786577\pi$
$644$	−0.566177	+	3.22916i	−0.0223105	+	0.127247i
$645$	−7.76565	−	5.30223i	−0.305772	−	0.208775i
$646$	28.4786	−	2.29030i	1.12047	−	0.0901106i
$647$	−8.56124	+	14.8285i	−0.336577	+	0.582969i	−0.983786	−	0.179344i	$-0.942603\pi$
$647$	−8.56124	+	14.8285i	−0.336577	+	0.582969i	0.647209	+	0.762312i	$0.275936\pi$
$648$	11.3567	+	22.7821i	0.446133	+	0.894967i
$649$	−10.9305	−	18.9322i	−0.429061	−	0.743156i
$650$	0.271244	−	0.571186i	0.0106391	−	0.0224038i
$651$	−21.4850	−	28.9983i	−0.842063	−	1.13653i
$652$	9.53954	−	7.77911i	0.373597	−	0.304654i
$653$		−	20.9500i		−	0.819838i	−0.912122	−	0.409919i	$-0.865557\pi$
$653$		−	20.9500i		−	0.819838i	0.912122	−	0.409919i	$-0.134443\pi$
$654$	0.0318400	+	6.67132i	0.00124504	+	0.260869i
$655$			6.70342i			0.261924i
$656$	−7.32760	−	1.50524i	−0.286095	−	0.0587698i
$657$	12.0421	+	30.8052i	0.469806	+	1.20183i
$658$	−9.17347	−	9.02818i	−0.357619	−	0.351955i
$659$	17.2213	+	29.8281i	0.670845	+	1.16194i	0.977665	+	0.210170i	$0.0674018\pi$
$659$	17.2213	+	29.8281i	0.670845	+	1.16194i	−0.306820	+	0.951768i	$0.599265\pi$
$660$	11.8793	+	17.0467i	0.462401	+	0.663542i
$661$	−11.6641	−	20.2028i	−0.453681	−	0.785798i	0.544931	−	0.838481i	$-0.316556\pi$
$661$	−11.6641	−	20.2028i	−0.453681	−	0.785798i	−0.998611	+	0.0526833i	$0.983223\pi$
$662$	−20.9285	−	9.93852i	−0.813410	−	0.386272i
$663$	−0.532314	+	0.779627i	−0.0206734	+	0.0302782i
$664$	−8.82629	−	9.20596i	−0.342526	−	0.357260i
$665$	25.4842	−	4.88875i	0.988234	−	0.189578i
$666$	−32.5260	−	2.30355i	−1.26036	−	0.0892609i
$667$	−2.99291	+	1.72796i	−0.115886	+	0.0669069i
$668$	7.99994	−	21.0554i	0.309527	−	0.814659i
$669$	20.4607	−	29.9667i	0.791056	−	1.15858i
$670$	−19.2833	−	27.9549i	−0.744978	−	1.07999i
$671$	18.1214	−	31.3872i	0.699570	−	1.21169i
$672$	12.7748	+	22.5567i	0.492797	+	0.870144i
$673$	−10.8472	−	18.7879i	−0.418129	−	0.724220i	0.577623	−	0.816304i	$-0.303981\pi$
$673$	−10.8472	−	18.7879i	−0.418129	−	0.724220i	−0.995751	+	0.0920839i	$0.970647\pi$
$674$	14.8930	−	31.3617i	0.573657	−	1.20801i
$675$	3.04643	−	13.2235i	0.117257	−	0.508973i
$676$	16.3943	+	20.1043i	0.630549	+	0.773243i
$677$	0.790988	+	0.456677i	0.0304001	+	0.0175515i	0.515123	−	0.857116i	$-0.327746\pi$
$677$	0.790988	+	0.456677i	0.0304001	+	0.0175515i	−0.484723	+	0.874668i	$0.661080\pi$
$678$	31.4653	−	0.150173i	1.20842	−	0.00576737i
$679$	−26.6353	+	5.10958i	−1.02217	+	0.196088i
$680$	−3.88375	+	13.3626i	−0.148935	+	0.512431i
$681$	−32.1725	+	15.4667i	−1.23285	+	0.592683i
$682$	35.5813	−	24.5440i	1.36248	−	0.939838i
$683$	20.9596	−	36.3031i	0.801996	−	1.38910i	−0.116305	−	0.993214i	$-0.537105\pi$
$683$	20.9596	−	36.3031i	0.801996	−	1.38910i	0.918300	−	0.395884i	$-0.129562\pi$
$684$	0.363447	+	38.0750i	0.0138967	+	1.45584i
$685$	29.8540			1.14066
$686$	20.8690	−	15.8267i	0.796782	−	0.604267i
$687$	28.2264	−	13.5696i	1.07690	−	0.517712i
$688$	9.33044	−	10.5061i	0.355720	−	0.400540i
$689$	−1.53583	+	0.886711i	−0.0585104	+	0.0337810i
$690$	−1.18239	−	2.02558i	−0.0450129	−	0.0771124i
$691$	−38.8610	−	22.4364i	−1.47834	−	0.853522i	−0.478644	−	0.878009i	$-0.658871\pi$
$691$	−38.8610	−	22.4364i	−1.47834	−	0.853522i	−0.999700	+	0.0244868i	$0.992205\pi$
$692$	−31.2767	−	11.8835i	−1.18896	−	0.451742i
$693$	16.4197	+	26.0636i	0.623734	+	0.990073i
$694$	−21.6275	−	31.3532i	−0.820967	−	1.19015i
$695$	−11.4736	+	19.8729i	−0.435219	+	0.753821i
$696$	−9.58364	+	25.5908i	−0.363267	+	0.970018i
$697$	−2.97674	−	5.15587i	−0.112752	−	0.195292i
$698$	4.57868	+	6.63769i	0.173306	+	0.251240i
$699$	−16.1294	+	23.6231i	−0.610068	+	0.893506i
$700$	2.38650	−	13.6113i	0.0902012	−	0.514457i
$701$		−	9.85201i		−	0.372105i	−0.982540	−	0.186053i	$-0.940431\pi$
$701$		−	9.85201i		−	0.372105i	0.982540	−	0.186053i	$-0.0595695\pi$
$702$	−0.986318	−	0.781060i	−0.0372262	−	0.0294792i
$703$	−42.2397	−	24.3871i	−1.59310	−	0.919776i
$704$	−27.5180	+	14.3785i	−1.03712	+	0.541909i
$705$	9.18181	+	0.694330i	0.345807	+	0.0261500i
$706$	−1.95470	−	24.3056i	−0.0735660	−	0.914752i
$707$	−26.7728	−	9.29217i	−1.00689	−	0.349468i
$708$	17.6660	+	8.28612i	0.663929	+	0.311411i
$709$	−0.910698	+	1.57737i	−0.0342020	+	0.0592396i	−0.882620	−	0.470088i	$-0.844222\pi$
$709$	−0.910698	+	1.57737i	−0.0342020	+	0.0592396i	0.848418	+	0.529327i	$0.177556\pi$
$710$	0.889971	+	11.0663i	0.0334000	+	0.415310i
$711$	−2.72671	+	1.06590i	−0.102260	+	0.0399743i
$712$	−19.2115	+	18.4192i	−0.719982	+	0.690289i
$713$	−4.22568	+	2.43970i	−0.158253	+	0.0913674i
$714$	−6.67153	+	19.5224i	−0.249676	+	0.730609i
$715$	−0.889327	−	0.513453i	−0.0332590	−	0.0192021i
$716$	10.0166	−	26.3630i	0.374336	−	0.985233i
$717$	0.839039	−	11.0954i	0.0313345	−	0.414367i
$718$	24.2089	+	35.0955i	0.903469	+	1.30975i
$719$	18.5276	+	32.0907i	0.690962	+	1.19678i	0.971523	+	0.236945i	$0.0761460\pi$
$719$	18.5276	+	32.0907i	0.690962	+	1.19678i	−0.280561	+	0.959836i	$0.590521\pi$
$720$	−17.3985	−	6.42115i	−0.648405	−	0.239302i
$721$	−20.7949	−	7.21738i	−0.774442	−	0.268789i
$722$	−12.9055	+	27.1765i	−0.480294	+	1.01140i
$723$	6.81109	−	3.27437i	0.253307	−	0.121775i
$724$	−35.5844	+	5.76078i	−1.32248	+	0.214098i
$725$	12.6155	−	7.28354i	0.468526	−	0.270504i
$726$	−8.59331	+	5.01618i	−0.318928	+	0.186168i
$727$	−19.2090	+	11.0903i	−0.712422	+	0.411317i	−0.811957	−	0.583717i	$-0.801598\pi$
$727$	−19.2090	+	11.0903i	−0.712422	+	0.411317i	0.0995353	+	0.995034i	$0.468264\pi$
$728$	−1.04504	−	0.741212i	−0.0387318	−	0.0274711i
$729$	−24.2784	−	11.8135i	−0.899200	−	0.437538i
$730$	−21.7670	−	10.3367i	−0.805634	−	0.382579i
$731$	11.1827			0.413606
$732$	2.74711	+	32.2328i	0.101536	+	1.19136i
$733$	53.7108			1.98385			0.991926	−	0.126818i	$-0.0404764\pi$
$733$	53.7108			1.98385			0.991926	+	0.126818i	$0.0404764\pi$
$734$	−2.40842	−	29.9473i	−0.0888964	−	1.10538i
$735$	−4.08935	+	18.2861i	−0.150838	+	0.674494i
$736$	3.22641	−	1.36884i	0.118927	−	0.0504563i
$737$	52.2244	−	30.1518i	1.92371	−	1.11066i
$738$	7.13447	−	3.47185i	0.262624	−	0.127801i
$739$	−22.4805	−	12.9791i	−0.826959	−	0.477445i	0.0258513	−	0.999666i	$-0.491770\pi$
$739$	−22.4805	−	12.9791i	−0.826959	−	0.477445i	−0.852810	+	0.522221i	$0.825104\pi$
$740$	18.4106	−	15.0131i	0.676786	−	0.551892i
$741$	−0.815379	−	1.69609i	−0.0299537	−	0.0623073i
$742$	−27.1857	+	27.6231i	−0.998017	+	1.01408i
$743$	14.1181	−	24.4532i	0.517942	−	0.897102i	−0.481841	−	0.876259i	$-0.660032\pi$
$743$	14.1181	−	24.4532i	0.517942	−	0.897102i	0.999783	−	0.0208431i	$-0.00663505\pi$
$744$	−13.5311	+	36.1316i	−0.496074	+	1.32465i
$745$	0.106216			0.00389146
$746$	−14.1775	+	1.14018i	−0.519074	+	0.0417449i
$747$	13.3734	+	2.03422i	0.489305	+	0.0744283i
$748$	−23.0986	−	8.77626i	−0.844570	−	0.320892i
$749$	43.2109	−	8.28936i	1.57889	−	0.302887i
$750$	14.5261	+	24.8848i	0.530417	+	0.908666i
$751$			19.1918i			0.700320i	0.936690	+	0.350160i	$0.113873\pi$
$751$			19.1918i			0.700320i	−0.936690	+	0.350160i	$0.886127\pi$
$752$	−2.76869	+	13.4782i	−0.100964	+	0.491498i
$753$	−7.22845	+	3.47502i	−0.263419	+	0.126637i
$754$	−0.108267	−	1.34623i	−0.00394284	−	0.0490269i
$755$	6.00998			0.218726
$756$	−25.3250	−	10.7072i	−0.921062	−	0.389416i
$757$	40.6959			1.47912			0.739558	−	0.673092i	$-0.235034\pi$
$757$	40.6959			1.47912			0.739558	+	0.673092i	$0.235034\pi$
$758$	0.135135	+	1.68033i	0.00490832	+	0.0610322i
$759$	3.75354	−	1.80448i	0.136245	−	0.0654985i
$760$	−19.1982	−	20.0241i	−0.696393	−	0.726349i
$761$		−	34.3029i		−	1.24348i	−0.783224	−	0.621740i	$-0.786426\pi$
$761$		−	34.3029i		−	1.24348i	0.783224	−	0.621740i	$-0.213574\pi$
$762$	−10.9226	−	18.7118i	−0.395686	−	0.677856i
$763$	−4.71416	−	5.44997i	−0.170664	−	0.197302i
$764$	−8.61053	+	22.6625i	−0.311518	+	0.819899i
$765$	−5.37370	−	13.7466i	−0.194287	−	0.497011i
$766$	36.4649	−	2.93257i	1.31753	−	0.105958i
$767$	−0.964395			−0.0348223
$768$	12.8139	−	24.5724i	0.462383	−	0.886680i
$769$	−24.8681	+	43.0728i	−0.896766	+	1.55324i	−0.0651624	+	0.997875i	$0.520757\pi$
$769$	−24.8681	+	43.0728i	−0.896766	+	1.55324i	−0.831604	+	0.555370i	$0.812577\pi$
$770$	−21.7233	−	5.63529i	−0.782853	−	0.203082i
$771$	5.60535	+	11.6598i	0.201872	+	0.419918i
$772$	−7.60541	−	9.32653i	−0.273725	−	0.335669i
$773$	9.51823	+	5.49535i	0.342347	+	0.197654i	0.661309	−	0.750113i	$-0.270001\pi$
$773$	9.51823	+	5.49535i	0.342347	+	0.197654i	−0.318962	+	0.947767i	$0.603334\pi$
$774$	−1.05286	+	14.8663i	−0.0378442	+	0.534356i
$775$	17.8117	−	10.2836i	0.639815	−	0.369397i
$776$	20.0654	+	20.9286i	0.720307	+	0.751292i
$777$	28.2991	−	20.9670i	1.01523	−	0.752185i
$778$	−0.929124	−	11.5531i	−0.0333107	−	0.414200i
$779$	11.8682			0.425224
$780$	0.913285	−	0.0778368i	0.0327009	−	0.00278700i
$781$	−19.7138			−0.705415
$782$	2.51963	+	1.19652i	0.0901016	+	0.0427874i
$783$	−8.48698	−	27.7137i	−0.303300	−	0.990408i
$784$	−26.3298	−	9.52579i	−0.940351	−	0.340207i
$785$	13.3013	−	7.67949i	0.474743	−	0.274093i
$786$	9.17570	−	5.35614i	0.327286	−	0.191047i
$787$	29.3615	−	16.9519i	1.04662	−	0.604269i	0.124922	−	0.992167i	$-0.460132\pi$
$787$	29.3615	−	16.9519i	1.04662	−	0.604269i	0.921702	+	0.387898i	$0.126799\pi$
$788$	3.74240	+	23.1168i	0.133318	+	0.823504i
$789$	47.1991	−	22.6906i	1.68033	−	0.807806i
$790$	0.914948	−	1.92670i	0.0325524	−	0.0685488i
$791$	−25.7048	+	22.2343i	−0.913957	+	0.790561i
$792$	13.8419	−	29.8811i	0.491851	−	1.06178i
$793$	−0.799421	−	1.38464i	−0.0283883	−	0.0491700i
$794$	9.28617	+	13.4621i	0.329554	+	0.477752i
$795$	2.09077	−	27.6483i	0.0741518	−	0.980583i
$796$	−18.7388	−	7.11973i	−0.664178	−	0.252352i
$797$	−28.2411	−	16.3050i	−1.00035	−	0.577553i	−0.0919989	−	0.995759i	$-0.529326\pi$
$797$	−28.2411	−	16.3050i	−1.00035	−	0.577553i	−0.908352	+	0.418206i	$0.862659\pi$
$798$	−27.0540	−	30.9768i	−0.957703	−	1.09657i
$799$	−9.48353	+	5.47532i	−0.335503	+	0.193703i
$800$	−13.5997	+	5.76983i	−0.480821	+	0.203994i
$801$	4.24513	−	27.9083i	0.149994	−	0.986091i
$802$	0.492384	+	6.12252i	0.0173867	+	0.216194i
$803$	21.3942	−	37.0558i	0.754985	−	1.30767i
$804$	−22.8572	+	48.7315i	−0.806111	+	1.71863i
$805$	2.39330	+	0.830653i	0.0843526	+	0.0292767i
$806$	−0.152861	−	1.90074i	−0.00538430	−	0.0669507i
$807$	−39.3053	−	2.97227i	−1.38361	−	0.104629i
$808$	7.22348	+	29.4225i	0.254121	+	1.03508i
$809$	−7.22387	−	4.17070i	−0.253978	−	0.146634i	0.367606	−	0.929981i	$-0.380177\pi$
$809$	−7.22387	−	4.17070i	−0.253978	−	0.146634i	−0.621584	+	0.783347i	$0.713511\pi$
$810$	18.7807	−	5.84954i	0.659887	−	0.205532i
$811$		−	26.9277i		−	0.945560i	−0.881180	−	0.472780i	$-0.843250\pi$
$811$		−	26.9277i		−	0.945560i	0.881180	−	0.472780i	$-0.156750\pi$
$812$	−10.1218	−	27.7262i	−0.355206	−	0.972999i
$813$	15.0360	−	22.0217i	0.527334	−	0.772334i
$814$	23.9522	+	34.7234i	0.839525	+	1.21705i
$815$	−4.75589	−	8.23744i	−0.166591	−	0.288545i
$816$	21.3940	−	5.36080i	0.748939	−	0.187666i
$817$	−11.1463	+	19.3060i	−0.389960	+	0.675430i
$818$	6.11272	+	8.86157i	0.213726	+	0.309838i
$819$	1.35792	−	0.0524134i	0.0474496	−	0.00183147i
$820$	−2.05309	+	5.40364i	−0.0716972	+	0.188703i
$821$	−0.0883029	−	0.0509817i	−0.00308179	−	0.00177927i	0.498458	−	0.866914i	$-0.333900\pi$
$821$	−0.0883029	−	0.0509817i	−0.00308179	−	0.00177927i	−0.501540	+	0.865134i	$0.667233\pi$
$822$	−23.8538	−	40.8643i	−0.831997	−	1.42531i
$823$	8.49712	−	4.90582i	0.296191	−	0.171006i	−0.344539	−	0.938772i	$-0.611965\pi$
$823$	8.49712	−	4.90582i	0.296191	−	0.171006i	0.640731	+	0.767766i	$0.278632\pi$
$824$	5.61059	+	22.8529i	0.195454	+	0.796119i
$825$	−15.8216	+	7.60609i	−0.550837	+	0.264810i
$826$	−20.3138	+	5.61724i	−0.706809	+	0.195449i
$827$	21.0637			0.732456			0.366228	−	0.930525i	$-0.380649\pi$
$827$	21.0637			0.732456			0.366228	+	0.930525i	$0.380649\pi$
$828$	−1.82787	+	3.23694i	−0.0635230	+	0.112491i
$829$	−12.1904	+	21.1143i	−0.423389	+	0.733330i	−0.996268	−	0.0863089i	$-0.972493\pi$
$829$	−12.1904	+	21.1143i	−0.423389	+	0.733330i	0.572880	+	0.819639i	$0.305826\pi$
$830$	−8.11230	+	5.59587i	−0.281582	+	0.194235i
$831$	−5.30461	+	2.55014i	−0.184015	+	0.0884635i
$832$	−0.0576517	+	1.36846i	−0.00199871	+	0.0474428i
$833$	−8.24620	−	20.7020i	−0.285714	−	0.717283i
$834$	36.3698	−	0.173581i	1.25938	−	0.00601061i
$835$	−15.0732	−	8.70253i	−0.521630	−	0.301163i
$836$	38.1750	−	31.1302i	1.32031	−	1.07666i
$837$	−11.9827	−	39.1289i	−0.414183	−	1.35249i
$838$	10.8589	−	22.8667i	0.375115	−	0.789917i
$839$	28.4151	+	49.2164i	0.980999	+	1.69914i	0.658520	+	0.752563i	$0.271183\pi$
$839$	28.4151	+	49.2164i	0.980999	+	1.69914i	0.322478	+	0.946577i	$0.395484\pi$
$840$	18.7839	−	6.95908i	0.648106	−	0.240111i
$841$	1.05702	−	1.83081i	0.0364490	−	0.0631314i
$842$	15.6234	+	22.6492i	0.538418	+	0.780542i
$843$	11.8747	−	17.3916i	0.408985	−	0.599000i
$844$	−2.26770	−	0.861606i	−0.0780575	−	0.0296577i
$845$	17.3602	−	10.0229i	0.597208	−	0.344798i
$846$	−6.38601	−	13.1229i	−0.219556	−	0.451175i
$847$	3.52396	−	10.1533i	0.121085	−	0.348872i
$848$	40.5854	+	8.33708i	1.39371	+	0.286297i
$849$	0.577379	−	0.845629i	0.0198156	−	0.0290219i
$850$	−10.6205	−	5.04345i	−0.364280	−	0.172989i
$851$	−2.38087	−	4.12379i	−0.0816153	−	0.141362i
$852$	14.4365	−	10.0603i	0.494587	−	0.344662i
$853$	−5.98214	−	10.3614i	−0.204824	−	0.354766i	0.745252	−	0.666783i	$-0.232329\pi$
$853$	−5.98214	−	10.3614i	−0.204824	−	0.354766i	−0.950077	+	0.312016i	$0.898996\pi$
$854$	−24.9039	−	24.5094i	−0.852193	−	0.838696i
$855$	29.0886	+	4.42468i	0.994811	+	0.151321i
$856$	−32.5525	−	33.9528i	−1.11262	−	1.16048i
$857$			20.8489i			0.712184i	0.934451	+	0.356092i	$0.115891\pi$
$857$			20.8489i			0.712184i	−0.934451	+	0.356092i	$0.884109\pi$
$858$	0.00776788	+	1.62758i	0.000265191	+	0.0555645i
$859$			18.5760i			0.633806i	0.948458	+	0.316903i	$0.102643\pi$
$859$			18.5760i			0.633806i	−0.948458	+	0.316903i	$0.897357\pi$
$860$	−6.86184	−	8.41469i	−0.233987	−	0.286939i
$861$	−3.41254	+	7.86139i	−0.116299	+	0.267916i
$862$	−6.31836	+	13.3052i	−0.215204	+	0.453177i
$863$	9.14990	+	15.8481i	0.311466	+	0.539475i	0.978680	−	0.205391i	$-0.0658466\pi$
$863$	9.14990	+	15.8481i	0.311466	+	0.539475i	−0.667214	+	0.744866i	$0.732513\pi$
$864$	5.11239	+	28.9459i	0.173927	+	0.984759i
$865$	−12.9271	+	22.3904i	−0.439535	+	0.761298i
$866$	13.9337	−	1.12057i	0.473486	−	0.0380786i
$867$	−9.82107	−	6.70563i	−0.333541	−	0.227735i
$868$	−14.2909	−	39.1465i	−0.485066	−	1.32872i
$869$	3.27998	+	1.89370i	0.111266	+	0.0642393i
$870$	18.3373	+	10.4707i	0.621692	+	0.354989i
$871$		−	2.66027i		−	0.0901400i
$872$	−2.15000	+	7.39736i	−0.0728081	+	0.250506i
$873$	−30.4026	−	4.62455i	−1.02897	−	0.156517i
$874$	−4.57712	+	3.15730i	−0.154823	+	0.106797i
$875$	−29.4024	−	10.2048i	−0.993982	−	0.344986i
$876$	3.24324	+	38.0541i	0.109579	+	1.28573i
$877$	−48.7708			−1.64687			−0.823436	−	0.567409i	$-0.807946\pi$
$877$	−48.7708			−1.64687			−0.823436	+	0.567409i	$0.807946\pi$
$878$	19.6514	+	9.33202i	0.663201	+	0.314940i
$879$	−7.86028	−	0.594395i	−0.265121	−	0.0200485i
$880$	7.56973	+	22.7664i	0.255176	+	0.767455i
$881$			25.9274i			0.873518i	0.899579	+	0.436759i	$0.143874\pi$
$881$			25.9274i			0.873518i	−0.899579	+	0.436759i	$0.856126\pi$
$882$	28.2977	−	9.01339i	0.952832	−	0.303497i
$883$			25.5672i			0.860405i	0.902732	+	0.430202i	$0.141558\pi$
$883$			25.5672i			0.860405i	−0.902732	+	0.430202i	$0.858442\pi$
$884$	−0.844787	+	0.688890i	−0.0284133	+	0.0231699i
$885$	8.50226	−	12.4524i	0.285801	−	0.418584i
$886$	−4.26366	+	8.97841i	−0.143240	+	0.301636i
$887$	−24.4381			−0.820551			−0.410275	−	0.911962i	$-0.634567\pi$
$887$	−24.4381			−0.820551			−0.410275	+	0.911962i	$0.634567\pi$
$888$	−35.2604	−	13.2048i	−1.18326	−	0.443125i
$889$	22.1087	+	7.67337i	0.741501	+	0.257356i
$890$	11.6778	+	16.9292i	0.391440	+	0.567469i
$891$	7.68023	+	34.0742i	0.257297	+	1.14153i
$892$	32.4713	−	26.4791i	1.08722	−	0.886585i
$893$		−	21.8300i		−	0.730514i
$894$	−0.0848685	−	0.145390i	−0.00283843	−	0.00486256i
$895$	−18.8729	−	10.8962i	−0.630850	−	0.364221i
$896$	6.75640	+	29.1608i	0.225715	+	0.974193i
$897$	0.0138539	−	0.183204i	0.000462569	−	0.00611700i
$898$	2.61479	+	32.5135i	0.0872568	+	1.08499i
$899$	21.9649	−	38.0443i	0.732570	−	1.26885i
$900$	7.70469	−	13.6440i	0.256823	−	0.454802i
$901$	16.4873	+	28.5568i	0.549271	+	0.951366i
$902$	−9.27208	−	4.40312i	−0.308727	−	0.146608i
$903$	−9.58311	−	12.9343i	−0.318906	−	0.430428i
$904$	34.8896	+	10.1405i	1.16041	+	0.337267i
$905$			27.8553i			0.925941i
$906$	−4.80208	−	8.22652i	−0.159538	−	0.273308i
$907$			46.7259i			1.55151i	0.631036	+	0.775754i	$0.282630\pi$
$907$			46.7259i			1.55151i	−0.631036	+	0.775754i	$0.717370\pi$
$908$	−40.6898	+	6.58730i	−1.35034	+	0.218607i
$909$	−25.0962	−	20.0692i	−0.832389	−	0.665653i
$910$	−0.694452	+	0.705627i	−0.0230209	+	0.0233913i
$911$	−5.05516	−	8.75579i	−0.167485	−	0.290092i	0.770050	−	0.637983i	$-0.220231\pi$
$911$	−5.05516	−	8.75579i	−0.167485	−	0.290092i	−0.937535	+	0.347891i	$0.886898\pi$
$912$	−12.0694	+	42.2783i	−0.399658	+	1.39997i
$913$	−8.74983	−	15.1552i	−0.289577	−	0.501562i
$914$	−3.01363	+	6.34609i	−0.0996819	+	0.209910i
$915$	24.9265	+	1.88495i	0.824045	+	0.0623144i
$916$	35.6989	−	5.77933i	1.17953	−	0.190954i
$917$	−3.76279	+	10.8414i	−0.124258	+	0.358016i
$918$	−14.5228	+	18.3394i	−0.479325	+	0.605289i
$919$	−7.01321	+	4.04908i	−0.231344	+	0.133567i	−0.611192	−	0.791482i	$-0.709310\pi$
$919$	−7.01321	+	4.04908i	−0.231344	+	0.133567i	0.379848	+	0.925049i	$0.375976\pi$
$920$	−0.645727	−	2.63016i	−0.0212890	−	0.0867137i
$921$	16.0590	+	33.4047i	0.529162	+	1.10072i
$922$	36.0186	−	24.8457i	1.18621	−	0.818249i
$923$	−0.434834	+	0.753154i	−0.0143127	+	0.0247904i
$924$	9.64364	+	34.2377i	0.317252	+	1.12634i
$925$	10.0356	+	17.3822i	0.329970	+	0.571524i
$926$	−27.0470	−	12.8440i	−0.888818	−	0.422081i
$927$	−19.4926	−	15.5881i	−0.640222	−	0.511979i
$928$	−18.9942	+	25.1967i	−0.623514	+	0.827121i
$929$	−31.1946	−	18.0102i	−1.02346	−	0.590895i	−0.108356	−	0.994112i	$-0.534559\pi$
$929$	−31.1946	−	18.0102i	−1.02346	−	0.590895i	−0.915104	+	0.403217i	$0.867892\pi$
$930$	25.8903	+	14.7835i	0.848976	+	0.484769i
$931$	43.9597	+	6.39831i	1.44072	+	0.209696i
$932$	−25.5974	+	20.8737i	−0.838472	+	0.683741i
$933$	−11.0322	−	7.53256i	−0.361178	−	0.246605i
$934$	−19.9190	−	28.8764i	−0.651769	−	0.944866i
$935$	−9.54703	+	16.5359i	−0.312221	+	0.540783i
$936$	−0.836273	−	1.18792i	−0.0273345	−	0.0388284i
$937$	59.6868			1.94988			0.974942	−	0.222461i	$-0.0714090\pi$
$937$	59.6868			1.94988			0.974942	+	0.222461i	$0.0714090\pi$
$938$	−15.4951	−	56.0355i	−0.505933	−	1.82962i
$939$	3.63499	−	48.0690i	0.118623	−	1.56867i
$940$	9.93927	+	3.77639i	0.324183	+	0.123172i
$941$	−10.5587	+	6.09608i	−0.344204	+	0.198726i	−0.662130	−	0.749389i	$-0.730347\pi$
$941$	−10.5587	+	6.09608i	−0.344204	+	0.198726i	0.317925	+	0.948116i	$0.397014\pi$
$942$	−21.1397	−	12.0708i	−0.688768	−	0.393289i
$943$	1.00344	+	0.579339i	0.0326766	+	0.0188659i
$944$	16.8468	+	14.9616i	0.548316	+	0.486959i
$945$	−11.2949	+	17.9958i	−0.367422	+	0.585402i
$946$	15.8706	−	10.9475i	0.515997	−	0.355935i
$947$	−6.43387	+	11.1438i	−0.209073	+	0.362124i	−0.951423	−	0.307888i	$-0.900378\pi$
$947$	−6.43387	+	11.1438i	−0.209073	+	0.362124i	0.742350	+	0.670012i	$0.233711\pi$
$948$	−3.36834	+	0.287074i	−0.109399	+	0.00932373i
$949$	−0.943798	−	1.63471i	−0.0306370	−	0.0530648i
$950$	19.2930	−	13.3084i	0.625949	−	0.431780i
$951$	−54.9923	−	4.15852i	−1.78325	−	0.134849i
$952$	−13.7819	+	19.4312i	−0.446674	+	0.629770i
$953$			3.31336i			0.107330i	0.998559	+	0.0536651i	$0.0170903\pi$
$953$			3.31336i			0.107330i	−0.998559	+	0.0536651i	$0.982910\pi$
$954$	−39.5157	+	19.2296i	−1.27937	+	0.622580i
$955$	16.2237	+	9.36675i	0.524986	+	0.303101i
$956$	4.56346	−	12.0108i	0.147593	−	0.388456i
$957$	−21.1431	+	30.9662i	−0.683459	+	1.00099i
$958$	2.30611	−	0.185461i	0.0745069	−	0.00599199i
$959$	48.2828	+	16.7577i	1.55913	+	0.541136i
$960$	−17.1615	−	12.8090i	−0.553885	−	0.413408i
$961$	15.5121	−	26.8677i	0.500390	−	0.866701i
$962$	1.85491	−	0.149175i	0.0598047	−	0.00480960i
$963$	49.3227	+	7.50248i	1.58940	+	0.241764i
$964$	8.61424	−	1.39457i	0.277446	−	0.0449159i
$965$	−8.05350	+	4.64969i	−0.259251	+	0.149679i
$966$	−0.775278	−	3.93967i	−0.0249442	−	0.126757i
$967$	−2.59128	−	1.49608i	−0.0833300	−	0.0481106i	0.457756	−	0.889078i	$-0.348653\pi$
$967$	−2.59128	−	1.49608i	−0.0833300	−	0.0481106i	−0.541086	+	0.840967i	$0.681987\pi$
$968$	−11.1582	+	2.73943i	−0.358637	+	0.0880487i
$969$	−31.5366	+	15.1609i	−1.01310	+	0.487040i
$970$	18.4423	−	12.7215i	0.592146	−	0.408463i
$971$	12.6023	+	21.8277i	0.404425	+	0.700485i	0.994254	−	0.107043i	$-0.0341382\pi$
$971$	12.6023	+	21.8277i	0.404425	+	0.700485i	−0.589829	+	0.807528i	$0.700805\pi$
$972$	−23.0130	−	21.0333i	−0.738143	−	0.674645i
$973$	−29.7114	+	25.7000i	−0.952504	+	0.823904i
$974$	−18.4189	−	8.74677i	−0.590181	−	0.280265i
$975$	−0.0583958	+	0.772225i	−0.00187016	+	0.0247310i
$976$	−7.51636	+	36.5901i	−0.240593	+	1.17122i
$977$	−17.5989	+	10.1607i	−0.563040	+	0.325071i	−0.754365	−	0.656456i	$-0.772055\pi$
$977$	−17.5989	+	10.1607i	−0.563040	+	0.325071i	0.191325	+	0.981527i	$0.438722\pi$
$978$	−7.47544	+	13.0917i	−0.239038	+	0.418628i
$979$	−31.6267	+	18.2597i	−1.01079	+	0.583581i
$980$	−10.5178	+	18.9081i	−0.335979	+	0.603998i
$981$	−2.97482	−	7.60998i	−0.0949786	−	0.242968i
$982$	6.56503	−	13.8246i	0.209499	−	0.441162i
$983$	−1.76047			−0.0561504			−0.0280752	−	0.999606i	$-0.508938\pi$
$983$	−1.76047			−0.0561504			−0.0280752	+	0.999606i	$0.508938\pi$
$984$	9.03700	−	1.50730i	0.288089	−	0.0480510i
$985$	18.0958			0.576579
$986$	−25.0315	+	2.01308i	−0.797166	+	0.0641096i
$987$	14.4600	+	6.27691i	0.460266	+	0.199796i
$988$	−0.347272	−	2.14510i	−0.0110482	−	0.0682448i
$989$	−1.88481	+	1.08820i	−0.0599335	+	0.0346026i
$990$	−21.0840	−	14.2487i	−0.670094	−	0.452853i
$991$	−10.4024	−	6.00585i	−0.330444	−	0.190782i	0.325594	−	0.945510i	$-0.394436\pi$
$991$	−10.4024	−	6.00585i	−0.330444	−	0.190782i	−0.656038	+	0.754728i	$0.727769\pi$
$992$	−26.8177	+	35.5750i	−0.851464	+	1.12951i
$993$	28.2947	+	2.13965i	0.897904	+	0.0678997i
$994$	−4.77242	+	18.3970i	−0.151372	+	0.583519i
$995$	−7.74502	+	13.4148i	−0.245534	+	0.425277i
$996$	14.1415	+	6.63299i	0.448092	+	0.210174i
$997$	−19.2531			−0.609751			−0.304876	−	0.952392i	$-0.598615\pi$
$997$	−19.2531			−0.609751			−0.304876	+	0.952392i	$0.598615\pi$
$998$	1.91850	+	23.8555i	0.0607292	+	0.755133i
$999$	38.1854	−	11.6938i	1.20813	−	0.369975i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.2	✓	88
3.2	odd	2		756.2.o.a.179.43		88
4.3	odd	2	inner	252.2.o.a.95.18	yes	88
7.2	even	3		252.2.bb.a.23.32	yes	88
9.2	odd	6		252.2.bb.a.11.13	yes	88
9.7	even	3		756.2.bb.a.683.32		88
12.11	even	2		756.2.o.a.179.27		88
21.2	odd	6		756.2.bb.a.611.13		88
28.23	odd	6		252.2.bb.a.23.13	yes	88
36.7	odd	6		756.2.bb.a.683.13		88
36.11	even	6		252.2.bb.a.11.32	yes	88
63.2	odd	6	inner	252.2.o.a.191.18	yes	88
63.16	even	3		756.2.o.a.359.27		88
84.23	even	6		756.2.bb.a.611.32		88
252.79	odd	6		756.2.o.a.359.43		88
252.191	even	6	inner	252.2.o.a.191.2	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.2	✓	88	1.1	even	1	trivial
252.2.o.a.95.18	yes	88	4.3	odd	2	inner
252.2.o.a.191.2	yes	88	252.191	even	6	inner
252.2.o.a.191.18	yes	88	63.2	odd	6	inner
252.2.bb.a.11.13	yes	88	9.2	odd	6
252.2.bb.a.11.32	yes	88	36.11	even	6
252.2.bb.a.23.13	yes	88	28.23	odd	6
252.2.bb.a.23.32	yes	88	7.2	even	3
756.2.o.a.179.27		88	12.11	even	2
756.2.o.a.179.43		88	3.2	odd	2
756.2.o.a.359.27		88	63.16	even	3
756.2.o.a.359.43		88	252.79	odd	6
756.2.bb.a.611.13		88	21.2	odd	6
756.2.bb.a.611.32		88	84.23	even	6
756.2.bb.a.683.13		88	36.7	odd	6
756.2.bb.a.683.32		88	9.7	even	3

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40966 + 0.113368i) q^{2} +(1.56103 - 0.750453i) q^{3} +(1.97430 - 0.319620i) q^{4} -1.54547i q^{5} +(-2.11545 + 1.23486i) q^{6} +(0.867509 - 2.49949i) q^{7} +(-2.74686 + 0.674378i) q^{8} +(1.87364 - 2.34296i) q^{9} +O(q^{10})\)	\(q+(-1.40966 + 0.113368i) q^{2} +(1.56103 - 0.750453i) q^{3} +(1.97430 - 0.319620i) q^{4} -1.54547i q^{5} +(-2.11545 + 1.23486i) q^{6} +(0.867509 - 2.49949i) q^{7} +(-2.74686 + 0.674378i) q^{8} +(1.87364 - 2.34296i) q^{9} +(0.175206 + 2.17859i) q^{10} -3.88100 q^{11} +(2.84208 - 1.98055i) q^{12} +(-0.0856046 + 0.148271i) q^{13} +(-0.939534 + 3.62178i) q^{14} +(-1.15980 - 2.41253i) q^{15} +(3.79569 - 1.26205i) q^{16} +(2.75692 + 1.59171i) q^{17} +(-2.37559 + 3.51519i) q^{18} +(-5.49591 + 3.17307i) q^{19} +(-0.493963 - 3.05121i) q^{20} +(-0.521536 - 4.55280i) q^{21} +(5.47090 - 0.439980i) q^{22} -0.619563 q^{23} +(-3.78184 + 3.11411i) q^{24} +2.61153 q^{25} +(0.103864 - 0.218718i) q^{26} +(1.16653 - 5.06352i) q^{27} +(0.913833 - 5.21200i) q^{28} +(4.83069 - 2.78900i) q^{29} +(1.90843 + 3.26936i) q^{30} +(6.82042 - 3.93777i) q^{31} +(-5.20756 + 2.20937i) q^{32} +(-6.05837 + 2.91251i) q^{33} +(-4.06678 - 1.93123i) q^{34} +(-3.86288 - 1.34071i) q^{35} +(2.95027 - 5.22455i) q^{36} +(3.84283 + 6.65597i) q^{37} +(7.38765 - 5.09601i) q^{38} +(-0.0223608 + 0.295699i) q^{39} +(1.04223 + 4.24518i) q^{40} +(-1.61960 - 0.935076i) q^{41} +(1.25133 + 6.35879i) q^{42} +(3.04216 - 1.75639i) q^{43} +(-7.66224 + 1.24045i) q^{44} +(-3.62097 - 2.89566i) q^{45} +(0.873374 - 0.0702384i) q^{46} +(-1.71995 + 2.97904i) q^{47} +(4.97808 - 4.81858i) q^{48} +(-5.49486 - 4.33665i) q^{49} +(-3.68137 + 0.296063i) q^{50} +(5.49815 + 0.415771i) q^{51} +(-0.121618 + 0.320093i) q^{52} +(8.97048 + 5.17911i) q^{53} +(-1.07038 + 7.27010i) q^{54} +5.99797i q^{55} +(-0.697324 + 7.45075i) q^{56} +(-6.19806 + 9.07768i) q^{57} +(-6.49345 + 4.47919i) q^{58} +(2.81642 + 4.87819i) q^{59} +(-3.06088 - 4.39234i) q^{60} +(-4.66927 + 8.08741i) q^{61} +(-9.16807 + 6.32414i) q^{62} +(-4.23080 - 6.71568i) q^{63} +(7.09043 - 3.70484i) q^{64} +(0.229149 + 0.132299i) q^{65} +(8.21007 - 4.79247i) q^{66} +(-13.4564 + 7.76908i) q^{67} +(5.95172 + 2.26134i) q^{68} +(-0.967157 + 0.464953i) q^{69} +(5.59735 + 1.45202i) q^{70} +5.07956 q^{71} +(-3.56658 + 7.69932i) q^{72} +(-5.51255 + 9.54801i) q^{73} +(-6.17166 - 8.94702i) q^{74} +(4.07668 - 1.95983i) q^{75} +(-9.83638 + 8.02117i) q^{76} +(-3.36680 + 9.70050i) q^{77} +(-0.00200151 - 0.419370i) q^{78} +(-0.845137 - 0.487940i) q^{79} +(-1.95046 - 5.86611i) q^{80} +(-1.97893 - 8.77974i) q^{81} +(2.38910 + 1.13453i) q^{82} +(2.25453 + 3.90496i) q^{83} +(-2.48483 - 8.82188i) q^{84} +(2.45994 - 4.26074i) q^{85} +(-4.08930 + 2.82080i) q^{86} +(5.44785 - 7.97892i) q^{87} +(10.6605 - 2.61726i) q^{88} +(8.14910 - 4.70488i) q^{89} +(5.43262 + 3.67140i) q^{90} +(0.296340 + 0.342594i) q^{91} +(-1.22320 + 0.198025i) q^{92} +(7.69178 - 11.2654i) q^{93} +(2.08682 - 4.39443i) q^{94} +(4.90387 + 8.49376i) q^{95} +(-6.47114 + 7.35693i) q^{96} +(-5.12539 - 8.87743i) q^{97} +(8.23753 + 5.49028i) q^{98} +(-7.27161 + 9.09303i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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