LMFDB - Embedded newform 252.2.o.a.95.18

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			95.18
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.606652 - 1.27749i) q^{2} +(-1.56103 + 0.750453i) q^{3} +(-1.26395 + 1.54998i) q^{4} -1.54547i q^{5} +(1.90570 + 1.53893i) q^{6} +(-0.867509 + 2.49949i) q^{7} +(2.74686 + 0.674378i) q^{8} +(1.87364 - 2.34296i) q^{9} +O(q^{10})$	\(q+(-0.606652 - 1.27749i) q^{2} +(-1.56103 + 0.750453i) q^{3} +(-1.26395 + 1.54998i) q^{4} -1.54547i q^{5} +(1.90570 + 1.53893i) q^{6} +(-0.867509 + 2.49949i) q^{7} +(2.74686 + 0.674378i) q^{8} +(1.87364 - 2.34296i) q^{9} +(-1.97432 + 0.937562i) q^{10} +3.88100 q^{11} +(0.809875 - 3.36810i) q^{12} +(-0.0856046 + 0.148271i) q^{13} +(3.71934 - 0.408086i) q^{14} +(1.15980 + 2.41253i) q^{15} +(-0.804876 - 3.91819i) q^{16} +(2.75692 + 1.59171i) q^{17} +(-4.12975 - 0.972192i) q^{18} +(5.49591 - 3.17307i) q^{19} +(2.39545 + 1.95339i) q^{20} +(-0.521536 - 4.55280i) q^{21} +(-2.35442 - 4.95793i) q^{22} +0.619563 q^{23} +(-4.79402 + 1.00866i) q^{24} +2.61153 q^{25} +(0.241347 + 0.0194096i) q^{26} +(-1.16653 + 5.06352i) q^{27} +(-2.77767 - 4.50384i) q^{28} +(4.83069 - 2.78900i) q^{29} +(2.37838 - 2.94519i) q^{30} +(-6.82042 + 3.93777i) q^{31} +(-4.51715 + 3.40519i) q^{32} +(-6.05837 + 2.91251i) q^{33} +(0.360897 - 4.48755i) q^{34} +(3.86288 + 1.34071i) q^{35} +(1.26336 + 5.86549i) 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} +(-5.49975 + 3.42822i) q^{42} +(-3.04216 + 1.75639i) q^{43} +(-4.90538 + 6.01547i) q^{44} +(-3.62097 - 2.89566i) q^{45} +(-0.375859 - 0.791484i) q^{46} +(1.71995 - 2.97904i) q^{47} +(4.19685 + 5.51239i) q^{48} +(-5.49486 - 4.33665i) q^{49} +(-1.58429 - 3.33619i) q^{50} +(-5.49815 - 0.415771i) q^{51} +(-0.121618 - 0.320093i) q^{52} +(8.97048 + 5.17911i) q^{53} +(7.17626 - 1.58156i) q^{54} -5.99797i q^{55} +(-4.06852 + 6.28070i) q^{56} +(-6.19806 + 9.07768i) q^{57} +(-6.49345 - 4.47919i) q^{58} +(-2.81642 - 4.87819i) q^{59} +(-5.20530 - 1.25164i) 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} +(7.39601 + 5.97261i) q^{66} +(13.4564 - 7.76908i) q^{67} +(-5.95172 + 2.26134i) q^{68} +(-0.967157 + 0.464953i) q^{69} +(-0.630684 - 5.74812i) q^{70} -5.07956 q^{71} +(6.72666 - 5.17223i) q^{72} +(-5.51255 + 9.54801i) q^{73} +(6.17166 - 8.94702i) q^{74} +(-4.07668 + 1.95983i) q^{75} +(-2.02835 + 12.5291i) q^{76} +(-3.36680 + 9.70050i) q^{77} +(-0.391317 + 0.150821i) q^{78} +(0.845137 + 0.487940i) q^{79} +(-6.05543 + 1.24391i) q^{80} +(-1.97893 - 8.77974i) q^{81} +(-0.212015 + 2.63628i) q^{82} +(-2.25453 - 3.90496i) q^{83} +(7.71595 + 4.94613i) 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} +(-1.50249 + 6.38240i) q^{90} +(-0.296340 - 0.342594i) q^{91} +(-0.783095 + 0.960310i) q^{92} +(7.69178 - 11.2654i) q^{93} +(-4.84909 - 0.389973i) q^{94} +(-4.90387 - 8.49376i) q^{95} +(4.49598 - 8.70552i) q^{96} +(-5.12539 - 8.87743i) q^{97} +(-2.20655 + 9.65045i) 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 $

$2$	−0.606652	−	1.27749i	−0.428968	−	0.903320i
$2$	−0.606652	−	1.27749i	−0.428968	−	0.903320i
$3$	−1.56103	+	0.750453i	−0.901262	+	0.433274i
$3$	−1.56103	+	0.750453i	−0.901262	+	0.433274i
$4$	−1.26395	+	1.54998i	−0.631973	+	0.774990i
$5$		−	1.54547i		−	0.691155i	−0.938390	−	0.345577i	$-0.887683\pi$
$5$		−	1.54547i		−	0.691155i	0.938390	−	0.345577i	$-0.112317\pi$
$6$	1.90570	+	1.53893i	0.777997	+	0.628268i
$7$	−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
$10$	−1.97432	+	0.937562i	−0.624334	+	0.296483i
$11$	3.88100			1.17017			0.585083	−	0.810974i	$-0.301062\pi$
$11$	3.88100			1.17017			0.585083	+	0.810974i	$0.301062\pi$
$12$	0.809875	−	3.36810i	0.233791	−	0.972287i
$13$	−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	$0.174225\pi$
$14$	3.71934	−	0.408086i	0.994035	−	0.109066i
$15$	1.15980	+	2.41253i	0.299459	+	0.622912i
$16$	−0.804876	−	3.91819i	−0.201219	−	0.979546i
$17$	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	$0.540507\pi$
$18$	−4.12975	−	0.972192i	−0.973392	−	0.229148i
$19$	5.49591	−	3.17307i	1.26085	−	0.727951i	0.287610	−	0.957748i	$-0.407139\pi$
$19$	5.49591	−	3.17307i	1.26085	−	0.727951i	0.973239	+	0.229797i	$0.0738061\pi$
$20$	2.39545	+	1.95339i	0.535638	+	0.436791i
$21$	−0.521536	−	4.55280i	−0.113809	−	0.993503i
$22$	−2.35442	−	4.95793i	−0.501963	−	1.05703i
$23$	0.619563			0.129188			0.0645939	−	0.997912i	$-0.479425\pi$
$23$	0.619563			0.129188			0.0645939	+	0.997912i	$0.479425\pi$
$24$	−4.79402	+	1.00866i	−0.978575	+	0.205892i
$25$	2.61153			0.522305
$26$	0.241347	+	0.0194096i	0.0473321	+	0.00380653i
$27$	−1.16653	+	5.06352i	−0.224500	+	0.974474i
$28$	−2.77767	−	4.50384i	−0.524930	−	0.851146i
$29$	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	$0.160046\pi$
$30$	2.37838	−	2.94519i	0.434230	−	0.537717i
$31$	−6.82042	+	3.93777i	−1.22498	+	0.707245i	−0.965976	−	0.258631i	$-0.916729\pi$
$31$	−6.82042	+	3.93777i	−1.22498	+	0.707245i	−0.259007	+	0.965875i	$0.583395\pi$
$32$	−4.51715	+	3.40519i	−0.798527	+	0.601959i
$33$	−6.05837	+	2.91251i	−1.05463	+	0.507002i
$34$	0.360897	−	4.48755i	0.0618933	−	0.769608i
$35$	3.86288	+	1.34071i	0.652945	+	0.226621i
$36$	1.26336	+	5.86549i	0.210560	+	0.977581i
$37$	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	$0.713318\pi$
$42$	−5.49975	+	3.42822i	−0.848631	+	0.528986i
$43$	−3.04216	+	1.75639i	−0.463925	+	0.267847i	−0.713693	−	0.700458i	$-0.752979\pi$
$43$	−3.04216	+	1.75639i	−0.463925	+	0.267847i	0.249768	+	0.968306i	$0.419646\pi$
$44$	−4.90538	+	6.01547i	−0.739514	+	0.906867i
$45$	−3.62097	−	2.89566i	−0.539783	−	0.431659i
$46$	−0.375859	−	0.791484i	−0.0554174	−	0.116698i
$47$	1.71995	−	2.97904i	0.250880	−	0.434537i	−0.712888	−	0.701278i	$-0.752613\pi$
$47$	1.71995	−	2.97904i	0.250880	−	0.434537i	0.963768	+	0.266740i	$0.0859466\pi$
$48$	4.19685	+	5.51239i	0.605763	+	0.795645i
$49$	−5.49486	−	4.33665i	−0.784980	−	0.619522i
$50$	−1.58429	−	3.33619i	−0.224052	−	0.471809i
$51$	−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	$0.414726\pi$
$54$	7.17626	−	1.58156i	0.976565	−	0.215223i
$55$		−	5.99797i		−	0.808766i
$56$	−4.06852	+	6.28070i	−0.543679	+	0.839293i
$57$	−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	0.622375	−	0.782719i	$-0.286168\pi$
$59$	−2.81642	−	4.87819i	−0.366667	−	0.635086i	−0.989042	+	0.147633i	$0.952834\pi$
$60$	−5.20530	−	1.25164i	−0.672001	−	0.161586i
$61$	−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
$66$	7.39601	+	5.97261i	0.910386	+	0.735177i
$67$	13.4564	−	7.76908i	1.64397	−	0.949144i	0.664561	−	0.747234i	$-0.268619\pi$
$67$	13.4564	−	7.76908i	1.64397	−	0.949144i	0.979404	−	0.201910i	$-0.0647147\pi$
$68$	−5.95172	+	2.26134i	−0.721753	+	0.274228i
$69$	−0.967157	+	0.464953i	−0.116432	+	0.0559737i
$70$	−0.630684	−	5.74812i	−0.0753812	−	0.687032i
$71$	−5.07956			−0.602833			−0.301417	−	0.953493i	$-0.597459\pi$
$71$	−5.07956			−0.602833			−0.301417	+	0.953493i	$0.597459\pi$
$72$	6.72666	−	5.17223i	0.792745	−	0.609553i
$73$	−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
$76$	−2.02835	+	12.5291i	−0.232668	+	1.43719i
$77$	−3.36680	+	9.70050i	−0.383683	+	1.10548i
$78$	−0.391317	+	0.150821i	−0.0443079	+	0.0170771i
$79$	0.845137	+	0.487940i	0.0950854	+	0.0548976i	0.546789	−	0.837271i	$-0.315850\pi$
$79$	0.845137	+	0.487940i	0.0950854	+	0.0548976i	−0.451703	+	0.892168i	$0.649183\pi$
$80$	−6.05543	+	1.24391i	−0.677018	+	0.139073i
$81$	−1.97893	−	8.77974i	−0.219881	−	0.975527i
$82$	−0.212015	+	2.63628i	−0.0234131	+	0.291129i
$83$	−2.25453	−	3.90496i	−0.247467	−	0.428625i	0.715355	−	0.698761i	$-0.246265\pi$
$83$	−2.25453	−	3.90496i	−0.247467	−	0.428625i	−0.962822	+	0.270136i	$0.912931\pi$
$84$	7.71595	+	4.94613i	0.841879	+	0.539667i
$85$	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	$0.167138\pi$
$90$	−1.50249	+	6.38240i	−0.158377	+	0.672764i
$91$	−0.296340	−	0.342594i	−0.0310648	−	0.0359136i
$92$	−0.783095	+	0.960310i	−0.0816433	+	0.100119i
$93$	7.69178	−	11.2654i	0.797601	−	1.16817i
$94$	−4.84909	−	0.389973i	−0.500146	−	0.0402227i
$95$	−4.90387	−	8.49376i	−0.503127	−	0.871441i
$96$	4.49598	−	8.70552i	0.458869	−	0.888504i
$97$	−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	$-0.340885\pi$
$98$	−2.20655	+	9.65045i	−0.222895	+	0.974842i
$99$	7.27161	−	9.09303i	0.730824	−	0.913884i
$100$	−3.30083	+	4.04781i	−0.330083	+	0.404781i
$101$		−	10.7113i		−	1.06582i	−0.846173	−	0.532908i	$-0.821099\pi$
$101$		−	10.7113i		−	1.06582i	0.846173	−	0.532908i	$-0.178901\pi$
$102$	2.80432	+	7.27604i	0.277669	+	0.720436i
$103$			8.31966i			0.819761i	0.912139	+	0.409880i	$0.134430\pi$
$103$			8.31966i			0.819761i	−0.912139	+	0.409880i	$0.865570\pi$
$104$	−0.335134	+	0.349551i	−0.0328626	+	0.0342763i
$105$	−7.03621	+	0.806018i	−0.686664	+	0.0786593i
$106$	1.17429	−	14.6016i	0.114057	−	1.41823i
$107$	−8.31500	−	14.4020i	−0.803842	−	1.39229i	−0.917070	−	0.398725i	$-0.869453\pi$
$107$	−8.31500	−	14.4020i	−0.803842	−	1.39229i	0.113229	−	0.993569i	$-0.463881\pi$
$108$	−6.37391	−	8.20812i	−0.613330	−	0.789827i
$109$	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	$0.125029\pi$
$110$	−7.66232	+	3.63868i	−0.730574	+	0.346934i
$111$	−10.9938	−	7.50632i	−1.04348	−	0.712469i
$112$	10.4917	+	1.38728i	0.991371	+	0.131086i
$113$	−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	$0.873180\pi$
$114$	15.3567	+	2.41095i	1.43828	+	0.225806i
$115$		−	0.957515i		−	0.0892888i
$116$	−1.78284	+	11.0126i	−0.165533	+	1.02250i
$117$	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
$120$	1.55885	+	7.40901i	0.142303	+	0.676347i
$121$	4.06216			0.369288
$122$	13.1642	+	1.05869i	1.19183	+	0.0958491i
$123$	3.22998	+	0.244251i	0.291237	+	0.0220234i
$124$	2.51718	−	15.5486i	0.226050	−	1.39631i
$125$		−	11.7634i		−	1.05215i
$126$	6.01258	−	9.47887i	0.535643	−	0.844445i
$127$		−	8.84529i		−	0.784892i	−0.919775	−	0.392446i	$-0.871629\pi$
$127$		−	8.84529i		−	0.784892i	0.919775	−	0.392446i	$-0.128371\pi$
$128$	0.431459	−	11.3055i	0.0381359	−	0.999273i
$129$	3.43082	−	5.02478i	0.302067	−	0.442408i
$130$	0.0299969	−	0.372994i	0.00263090	−	0.0327138i
$131$	4.33747			0.378966			0.189483	−	0.981884i	$-0.439319\pi$
$131$	4.33747			0.378966			0.189483	+	0.981884i	$0.439319\pi$
$132$	3.14313	−	13.0716i	0.273574	−	1.13774i
$133$	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
$136$	6.49946	+	6.23141i	0.557324	+	0.534339i
$137$			19.3171i			1.65037i	0.564863	+	0.825185i	$0.308929\pi$
$137$			19.3171i			1.65037i	−0.564863	+	0.825185i	$0.691071\pi$
$138$	1.18070	+	0.953467i	0.100508	+	0.0811645i
$139$	12.8588	+	7.42403i	1.09067	+	0.629698i	0.933755	−	0.357914i	$-0.116512\pi$
$139$	12.8588	+	7.42403i	1.09067	+	0.629698i	0.156915	+	0.987612i	$0.449845\pi$
$140$	−6.96054	+	4.29280i	−0.588273	+	0.362808i
$141$	−0.449268	+	5.94111i	−0.0378352	+	0.500332i
$142$	3.08153	+	6.48908i	0.258596	+	0.544551i
$143$	−0.332231	+	0.575442i	−0.0277826	+	0.0481209i
$144$	−10.6882	−	5.45548i	−0.890684	−	0.454624i
$145$	−4.31031	−	7.46568i	−0.357952	−	0.619991i
$146$	15.5417	+	1.24989i	1.28624	+	0.103442i
$147$	11.8321	+	2.64602i	0.975895	+	0.218240i
$148$	−15.1738	−	2.45649i	−1.24727	−	0.201922i
$149$			0.0687275i			0.00563038i	0.999996	+	0.00281519i	$0.000896103\pi$
$149$			0.0687275i			0.00563038i	−0.999996	+	0.00281519i	$0.999104\pi$
$150$	4.97678	+	4.01897i	0.406352	+	0.328147i
$151$		−	3.88878i		−	0.316464i	−0.987402	−	0.158232i	$-0.949421\pi$
$151$		−	3.88878i		−	0.316464i	0.987402	−	0.158232i	$-0.0505794\pi$
$152$	17.2363	−	5.00963i	1.39805	−	0.406335i
$153$	8.89480	−	3.47707i	0.719102	−	0.281104i
$154$	14.4347	−	1.58378i	1.16319	−	0.127625i
$155$	6.08570	+	10.5407i	0.488815	+	0.846653i
$156$	0.430064	+	0.408406i	0.0344327	+	0.0326987i
$157$	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	$0.703533\pi$
$158$	0.110633	−	1.37566i	0.00880151	−	0.109442i
$159$	−17.8899	−	1.35284i	−1.41876	−	0.107287i
$160$	5.26262	+	6.98112i	0.416047	+	0.551906i
$161$	−0.537476	+	1.54859i	−0.0423591	+	0.122046i
$162$	−10.0155	+	7.85431i	−0.786891	+	0.617092i
$163$	−5.33006	+	3.07731i	−0.417482	+	0.241033i	−0.694000	−	0.719975i	$-0.744153\pi$
$163$	−5.33006	+	3.07731i	−0.417482	+	0.241033i	0.276517	+	0.961009i	$0.410820\pi$
$164$	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	−0.997356	−	0.0726749i	$-0.976846\pi$
$167$	−5.63100	+	9.75317i	−0.435740	+	0.754723i	0.561616	+	0.827398i	$0.310180\pi$
$168$	1.63772	−	12.8576i	0.126353	−	0.991985i
$169$	6.48534	+	11.2329i	0.498873	+	0.864073i
$170$	−6.93537	−	0.557755i	−0.531918	−	0.0427779i
$171$	2.86300	−	18.8219i	0.218939	−	1.43935i
$172$	1.12276	−	6.93528i	0.0856094	−	0.528810i
$173$	−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	$0.886056\pi$
$174$	13.4979	+	2.11913i	1.02327	+	0.160651i
$175$	−2.26552	+	6.52747i	−0.171257	+	0.493430i
$176$	−3.12372	−	15.2065i	−0.235460	−	1.14623i
$177$	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	$0.343341\pi$
$179$	−7.05045	+	12.2117i	−0.526975	+	0.912748i	−0.999506	+	0.0314336i	$0.989993\pi$
$180$	9.06493	−	1.95248i	0.675660	−	0.145529i
$181$	−18.0238			−1.33970			−0.669850	−	0.742496i	$-0.733642\pi$
$181$	−18.0238			−1.33970			−0.669850	+	0.742496i	$0.733642\pi$
$182$	−0.257885	+	0.586406i	−0.0191157	+	0.0434673i
$183$	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
$186$	−19.0576	−	2.99199i	−1.39737	−	0.219383i
$187$	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	−0.559035	−	0.829144i	$-0.688828\pi$
$191$	6.06078	−	10.4976i	0.438543	−	0.759578i	0.997577	+	0.0695662i	$0.0221615\pi$
$192$	−13.8487	−	0.462337i	−0.999443	−	0.0333663i
$193$	−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
$196$	13.6669	−	3.03562i	0.976209	−	0.216830i
$197$			11.7089i			0.834225i	0.908855	+	0.417113i	$0.136958\pi$
$197$			11.7089i			0.834225i	−0.908855	+	0.417113i	$0.863042\pi$
$198$	−16.0276	−	3.77308i	−1.13903	−	0.268141i
$199$	8.68006	+	5.01144i	0.615313	+	0.355251i	0.775042	−	0.631910i	$-0.217729\pi$
$199$	8.68006	+	5.01144i	0.615313	+	0.355251i	−0.159729	+	0.987161i	$0.551062\pi$
$200$	7.17348	+	1.76115i	0.507242	+	0.124532i
$201$	−15.1756	+	22.2262i	−1.07040	+	1.56771i
$202$	−13.6836	+	6.49804i	−0.962773	+	0.457201i
$203$	2.78040	+	14.4937i	0.195146	+	1.01726i
$204$	7.59381	−	7.99651i	0.531673	−	0.559868i
$205$	−1.44513	+	2.50304i	−0.100932	+	0.174820i
$206$	10.6283	−	5.04714i	0.740506	−	0.351651i
$207$	1.16084	−	1.45161i	0.0806839	−	0.100894i
$208$	0.649856	+	0.216074i	0.0450594	+	0.0149821i
$209$	21.3296	−	12.3147i	1.47540	−	0.851823i
$210$	5.29821	+	8.49970i	0.365611	+	0.586535i
$211$	1.05043	+	0.606467i	0.0723147	+	0.0417509i	0.535721	−	0.844395i	$-0.320040\pi$
$211$	1.05043	+	0.606467i	0.0723147	+	0.0417509i	−0.463407	+	0.886146i	$0.653373\pi$
$212$	−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
$216$	−6.61902	+	13.1221i	−0.450368	+	0.892843i
$217$	−3.92563	−	20.4636i	−0.266489	−	1.38916i
$218$	−3.83934	−	0.308767i	−0.260033	−	0.0209123i
$219$	1.43993	−	19.0417i	0.0973016	−	1.28672i
$220$	9.29673	+	7.58111i	0.626785	+	0.511118i
$221$	−0.472011	+	0.272515i	−0.0317509	+	0.0183314i
$222$	−2.91984	+	18.5981i	−0.195967	+	1.24822i
$223$	−18.1428	+	10.4748i	−1.21493	+	0.701441i	−0.963830	−	0.266519i	$-0.914126\pi$
$223$	−18.1428	+	10.4748i	−1.21493	+	0.701441i	−0.251103	+	0.967960i	$0.580793\pi$
$224$	−4.59256	−	14.2446i	−0.306853	−	0.951757i
$225$	4.89306	−	6.11870i	0.326204	−	0.407913i
$226$	−1.45630	+	18.1082i	−0.0968714	+	1.20454i
$227$	20.6098			1.36792			0.683959	−	0.729520i	$-0.260257\pi$
$227$	20.6098			1.36792			0.683959	+	0.729520i	$0.260257\pi$
$228$	−6.23620	−	21.0806i	−0.413003	−	1.39609i
$229$	18.0819			1.19488			0.597441	−	0.801913i	$-0.296184\pi$
$229$	18.0819			1.19488			0.597441	+	0.801913i	$0.296184\pi$
$230$	−1.22321	+	0.580878i	−0.0806563	+	0.0383020i
$231$	−2.02408	−	17.6694i	−0.133175	−	1.16256i
$232$	15.1500	−	4.40327i	0.994649	−	0.289089i
$233$	−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	$0.515271\pi$
$234$	0.497674	−	0.529100i	0.0325340	−	0.0345884i
$235$	−4.60401	−	2.65813i	−0.300333	−	0.173397i
$236$	11.1209	+	1.80037i	0.723909	+	0.117194i
$237$	−1.68546	−	0.127455i	−0.109483	−	0.00827909i
$238$	10.9035	+	4.79505i	0.706768	+	0.310817i
$239$	−3.21212	+	5.56356i	−0.207775	+	0.359877i	−0.951013	−	0.309150i	$-0.899956\pi$
$239$	−3.21212	+	5.56356i	−0.207775	+	0.359877i	0.743238	+	0.669027i	$0.233289\pi$
$240$	8.51923	−	6.48610i	0.549914	−	0.418676i
$241$	4.36319			0.281058			0.140529	−	0.990077i	$-0.455120\pi$
$241$	4.36319			0.281058			0.140529	+	0.990077i	$0.455120\pi$
$242$	−2.46432	−	5.18936i	−0.158412	−	0.333585i
$243$	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
$246$	−1.64744	−	4.27443i	−0.105037	−	0.272528i
$247$			1.08652i			0.0691333i
$248$	−21.3903	+	6.21695i	−1.35828	+	0.394777i
$249$	6.44988	+	4.40385i	0.408745	+	0.279083i
$250$	−15.0276	+	7.13627i	−0.950427	+	0.451338i
$251$	4.63056			0.292278			0.146139	−	0.989264i	$-0.453315\pi$
$251$	4.63056			0.292278			0.146139	+	0.989264i	$0.453315\pi$
$252$	−15.7567	−	1.93062i	−0.992577	−	0.121617i
$253$	2.40452			0.151171
$254$	−11.2997	+	5.36601i	−0.709009	+	0.336693i
$255$	−0.642561	+	8.49722i	−0.0402387	+	0.532117i
$256$	−14.7043	+	6.30731i	−0.919022	+	0.394207i
$257$			7.46929i			0.465922i	0.972486	+	0.232961i	$0.0748414\pi$
$257$			7.46929i			0.465922i	−0.972486	+	0.232961i	$0.925159\pi$
$258$	−8.50041	−	1.33454i	−0.529213	−	0.0830847i
$259$	−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
$262$	−2.63133	−	5.54106i	−0.162564	−	0.342328i
$263$	−30.2358			−1.86442			−0.932211	−	0.361915i	$-0.882123\pi$
$263$	−30.2358			−1.86442			−0.932211	+	0.361915i	$0.882123\pi$
$264$	−18.6056	+	3.91461i	−1.14509	+	0.240927i
$265$	8.00415	−	13.8636i	0.491691	−	0.851634i
$266$	19.1463	−	14.0445i	1.17393	−	0.861124i
$267$	−9.19021	+	13.4600i	−0.562432	+	0.823738i
$268$	−4.96631	+	30.6769i	−0.303365	+	1.87389i
$269$	−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	$0.910723\pi$
$270$	−2.44425	−	11.0907i	−0.148752	−	0.674957i
$271$	−13.3326	+	7.69759i	−0.809899	+	0.467595i	−0.846921	−	0.531719i	$-0.821546\pi$
$271$	−13.3326	+	7.69759i	−0.809899	+	0.467595i	0.0370221	+	0.999314i	$0.488213\pi$
$272$	4.01763	−	12.0833i	0.243605	−	0.732656i
$273$	0.719697	+	0.312412i	0.0435580	+	0.0189080i
$274$	24.6773	−	11.7187i	1.49081	−	0.707955i
$275$	10.1353			0.611183
$276$	0.501769	−	2.08675i	0.0302029	−	0.125608i
$277$	−3.39814			−0.204175			−0.102087	−	0.994775i	$-0.532552\pi$
$277$	−3.39814			−0.204175			−0.102087	+	0.994775i	$0.532552\pi$
$278$	1.68329	−	20.9308i	0.100957	−	1.25534i
$279$	−3.55298	+	23.3580i	−0.212711	+	1.39840i
$280$	9.70662	+	6.28777i	0.580082	+	0.375766i
$281$	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	$0.215204\pi$
$282$	7.86225	−	3.03025i	0.468190	−	0.180449i
$283$	−0.511971	+	0.295586i	−0.0304335	+	0.0175708i	−0.515140	−	0.857106i	$-0.672260\pi$
$283$	−0.511971	+	0.295586i	−0.0304335	+	0.0175708i	0.484706	+	0.874677i	$0.338927\pi$
$284$	6.42030	−	7.87322i	0.380975	−	0.467190i
$285$	14.0293	+	9.57890i	0.831022	+	0.567405i
$286$	0.936668	+	0.0753286i	0.0553864	+	0.00445427i
$287$	3.74223	−	3.23698i	0.220897	−	0.191073i
$288$	−0.485290	+	16.9636i	−0.0285960	+	0.999591i
$289$	−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	$0.709108\pi$
$294$	−3.79770	−	16.7206i	−0.221487	−	0.975163i
$295$	−7.53909	+	4.35269i	−0.438943	+	0.253424i
$296$	6.06705	+	20.8745i	0.352640	+	1.21331i
$297$	−4.52732	+	19.6515i	−0.262702	+	1.14030i
$298$	0.0877985	−	0.0416937i	0.00508603	−	0.00241525i
$299$	−0.0530374	+	0.0918635i	−0.00306723	+	0.00531260i
$300$	2.11501	−	8.79588i	0.122110	−	0.507830i
$301$	−1.75098	−	9.12753i	−0.100925	−	0.526102i
$302$	−4.96786	+	2.35913i	−0.285868	+	0.135753i
$303$	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
$306$	−9.83796	−	9.25363i	−0.562399	−	0.528995i
$307$		−	21.3991i		−	1.22131i	−0.791896	−	0.610655i	$-0.790906\pi$
$307$		−	21.3991i		−	1.22131i	0.791896	−	0.610655i	$-0.209094\pi$
$308$	−10.7801	−	17.4794i	−0.614255	−	0.995981i
$309$	−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	0.954401	−	0.298527i	$-0.0964954\pi$
$311$	3.85626	+	6.67923i	0.218668	+	0.378744i	−0.735733	+	0.677272i	$0.763162\pi$
$312$	0.260834	−	0.797162i	0.0147668	−	0.0451304i
$313$	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	$-0.685566\pi$
$318$	9.12470	+	23.6748i	0.511688	+	1.32762i
$319$	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
$322$	2.30436	−	0.252835i	0.128417	−	0.0140899i
$323$	20.2024			1.12409
$324$	16.1097	+	8.02982i	0.894983	+	0.446101i
$325$	−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
$328$	−3.81821	−	3.66074i	−0.210825	−	0.202131i
$329$	5.95399	+	6.88333i	0.328254	+	0.379490i
$330$	9.23048	−	11.4303i	0.508121	−	0.629217i
$331$	−14.1877	−	8.19129i	−0.779828	−	0.450234i	0.0565413	−	0.998400i	$-0.481993\pi$
$331$	−14.1877	−	8.19129i	−0.779828	−	0.450234i	−0.836369	+	0.548166i	$0.815326\pi$
$332$	8.90222	+	1.44119i	0.488573	+	0.0790954i
$333$	22.7948	+	3.46731i	1.24915	+	0.190008i
$334$	15.8756	+	1.27675i	0.868674	+	0.0698604i
$335$	−12.0069	−	20.7965i	−0.656005	−	1.13623i
$336$	−17.4189	+	5.70792i	−0.950281	+	0.311392i
$337$	−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
$342$	−25.7816	+	7.76089i	−1.39411	+	0.419661i
$343$	15.6062	−	9.97223i	0.842658	−	0.538450i
$344$	−9.54085	+	2.77299i	−0.514408	+	0.149510i
$345$	0.718570	+	1.49471i	0.0386865	+	0.0804726i
$346$	−1.89653	+	23.5823i	−0.101958	+	1.26779i
$347$	−13.4665	−	23.3246i	−0.722919	−	1.25213i	−0.959825	−	0.280600i	$-0.909467\pi$
$347$	−13.4665	−	23.3246i	−0.722919	−	1.25213i	0.236906	−	0.971533i	$-0.423867\pi$
$348$	−5.48137	−	18.5290i	−0.293832	−	0.993257i
$349$	−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	$0.882100\pi$
$350$	9.71314	−	1.06573i	0.519189	−	0.0569655i
$351$	−0.650914	−	0.606424i	−0.0347432	−	0.0323685i
$352$	−17.5311	+	13.2156i	−0.934409	+	0.704392i
$353$			17.2421i			0.917705i	0.888512	+	0.458853i	$0.151739\pi$
$353$			17.2421i			0.917705i	−0.888512	+	0.458853i	$0.848261\pi$
$354$	2.13997	−	13.6306i	0.113738	−	0.724460i
$355$			7.85031i			0.416651i
$356$	−3.00755	+	18.5777i	−0.159400	+	0.984614i
$357$	5.80891	−	13.3819i	0.307440	−	0.708243i
$358$	19.8775	+	1.59859i	1.05056	+	0.0844879i
$359$	15.0739	+	26.1087i	0.795568	+	1.37796i	0.922478	+	0.386050i	$0.126161\pi$
$359$	15.0739	+	26.1087i	0.795568	+	1.37796i	−0.126910	+	0.991914i	$0.540506\pi$
$360$	−7.99352	−	10.3959i	−0.421296	−	0.547909i
$361$	10.6367	−	18.4233i	0.559826	−	0.969646i
$362$	10.9342	+	23.0252i	0.574688	+	1.21018i
$363$	−6.34117	+	3.04846i	−0.332825	+	0.160003i
$364$	0.905572	−	0.0262996i	0.0474649	−	0.00137848i
$365$	14.7562	+	8.51947i	0.772372	+	0.445929i
$366$	−21.3442	+	8.22645i	−1.11568	+	0.430003i
$367$		−	21.2443i		−	1.10895i	−0.832202	−	0.554473i	$-0.812920\pi$
$367$		−	21.2443i		−	1.10895i	0.832202	−	0.554473i	$-0.187080\pi$
$368$	−0.498671	−	2.42756i	−0.0259950	−	0.126545i
$369$	−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
$372$	7.73912	+	26.1610i	0.401255	+	1.35638i
$373$	10.0574			0.520750			0.260375	−	0.965508i	$-0.416154\pi$
$373$	10.0574			0.520750			0.260375	+	0.965508i	$0.416154\pi$
$374$	1.40064	−	17.4162i	0.0724254	−	0.900569i
$375$	8.82786	+	18.3630i	0.455869	+	0.948262i
$376$	6.73345	−	7.02309i	0.347251	−	0.362188i
$377$			0.955004i			0.0491852i
$378$	−2.27238	+	19.3090i	−0.116879	+	0.993146i
$379$			1.19201i			0.0612292i	0.999531	+	0.0306146i	$0.00974646\pi$
$379$			1.19201i			0.0612292i	−0.999531	+	0.0306146i	$0.990254\pi$
$380$	19.3634	+	3.13475i	0.993321	+	0.160809i
$381$	6.63797	+	13.8078i	0.340073	+	0.707394i
$382$	−17.0873	−	1.37419i	−0.874262	−	0.0703098i
$383$	25.8678			1.32178			0.660892	−	0.750481i	$-0.270178\pi$
$383$	25.8678			1.32178			0.660892	+	0.750481i	$0.270178\pi$
$384$	7.81070	+	17.9720i	0.398588	+	0.917130i
$385$	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
$388$	20.2381	+	3.27635i	1.02743	+	0.166332i
$389$			8.19567i			0.415537i	0.978178	+	0.207769i	$0.0666201\pi$
$389$			8.19567i			0.415537i	−0.978178	+	0.207769i	$0.933380\pi$
$390$	0.233089	+	0.604768i	0.0118029	+	0.0306236i
$391$	1.70809	+	0.986165i	0.0863817	+	0.0498725i
$392$	−12.1690	−	15.6178i	−0.614629	−	0.788816i
$393$	−6.77092	+	3.25506i	−0.341548	+	0.164196i
$394$	14.9580	−	7.10323i	0.753572	−	0.357856i
$395$	0.754097	−	1.30613i	0.0379427	−	0.0657187i
$396$	4.90309	+	22.7640i	0.246390	+	1.14393i
$397$	−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	$0.927054\pi$
$398$	1.13627	−	14.1289i	0.0569560	−	0.708216i
$399$	−17.3127	−	23.3669i	−0.866717	−	1.16981i
$400$	−2.10195	−	10.2324i	−0.105098	−	0.511622i
$401$		−	4.34325i		−	0.216892i	−0.994102	−	0.108446i	$-0.965413\pi$
$401$		−	4.34325i		−	0.216892i	0.994102	−	0.108446i	$-0.0345874\pi$
$402$	37.6000	+	5.90308i	1.87532	+	0.294419i
$403$		−	1.34837i		−	0.0671669i
$404$	16.6023	+	13.5385i	0.825997	+	0.673568i
$405$	−13.5688	+	3.05838i	−0.674240	+	0.151972i
$406$	16.8288	−	12.3446i	0.835199	−	0.612650i
$407$	14.9140	+	25.8318i	0.739260	+	1.28044i
$408$	−14.8222	−	4.84989i	−0.733810	−	0.240105i
$409$	−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	$0.893599\pi$
$410$	4.07429	+	0.327662i	0.201215	+	0.0161821i
$411$	−14.4966	−	30.1546i	−0.715062	−	1.48742i
$412$	−12.8953	−	10.5156i	−0.635306	−	0.518067i
$413$	14.6362	−	2.80774i	0.720202	−	0.138160i
$414$	−2.55864	−	0.602334i	−0.125750	−	0.0296031i
$415$	−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	−0.560245	−	0.828327i	$-0.689293\pi$
$419$	8.94987	−	15.5016i	0.437230	−	0.757304i	0.997475	+	0.0710229i	$0.0226263\pi$
$420$	7.64409	−	11.9248i	0.372993	−	0.581868i
$421$	−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	$0.990565\pi$
$422$	0.137507	−	1.70983i	0.00669376	−	0.0832331i
$423$	−3.75720	−	9.61142i	−0.182681	−	0.467323i
$424$	21.1479	+	20.2758i	1.02703	+	0.984678i
$425$	7.19978	+	4.15679i	0.349240	+	0.201634i
$426$	−9.68010	−	7.81712i	−0.469003	−	0.378741i
$427$	−16.1637	−	18.6867i	−0.782218	−	0.904311i
$428$	32.8325	+	5.31528i	1.58702	+	0.256924i
$429$	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	−0.963757	−	0.266781i	$-0.914040\pi$
$431$	−5.20757	+	9.01978i	−0.250840	+	0.434467i	0.712917	+	0.701248i	$0.247373\pi$
$432$	20.7787	+	0.495194i	0.999716	+	0.0238250i
$433$	−9.88442			−0.475015			−0.237507	−	0.971386i	$-0.576330\pi$
$433$	−9.88442			−0.475015			−0.237507	+	0.971386i	$0.576330\pi$
$434$	−23.7605	+	17.4292i	−1.14054	+	0.836629i
$435$	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
$438$	−25.1990	+	9.71216i	−1.20406	+	0.464065i
$439$	13.3219	+	7.69141i	0.635820	+	0.367091i	0.783003	−	0.622018i	$-0.213687\pi$
$439$	13.3219	+	7.69141i	0.635820	+	0.367091i	−0.147182	+	0.989109i	$0.547020\pi$
$440$	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	−0.937349	−	0.348391i	$-0.886728\pi$
$443$	−3.51409	+	6.08658i	−0.166959	+	0.289182i	0.770390	+	0.637573i	$0.220062\pi$
$444$	25.5302	−	7.55252i	1.21161	−	0.358427i
$445$	−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
$448$	−15.4112	+	14.5084i	−0.728111	+	0.685460i
$449$		−	23.0647i		−	1.08849i	−0.838926	−	0.544246i	$-0.816816\pi$
$449$		−	23.0647i		−	1.08849i	0.838926	−	0.544246i	$-0.183184\pi$
$450$	−10.7850	−	2.53890i	−0.508407	−	0.119685i
$451$	−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
$454$	−12.5030	−	26.3287i	−0.586793	−	1.23567i
$455$	−0.529469	+	0.457984i	−0.0248219	+	0.0214706i
$456$	−23.1469	+	20.7552i	−1.08396	+	0.971953i
$457$	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	$0.129599\pi$
$458$	−10.9694	−	23.0993i	−0.512566	−	1.07936i
$459$	−11.2757	+	12.1029i	−0.526305	+	0.564917i
$460$	1.48413	+	1.21025i	0.0691979	+	0.0564281i
$461$	−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	$0.589433\pi$
$462$	−21.3445	+	13.3049i	−0.993038	+	0.619001i
$463$	−18.3355	−	10.5860i	−0.852123	−	0.491973i	0.00924383	−	0.999957i	$-0.497058\pi$
$463$	−18.3355	−	10.5860i	−0.852123	−	0.491973i	−0.861366	+	0.507984i	$0.830391\pi$
$464$	−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	$-0.972085\pi$
$467$	−12.4027	−	21.4821i	−0.573928	−	0.994073i	0.422229	−	0.906489i	$-0.361248\pi$
$468$	−0.977834	−	0.314792i	−0.0452004	−	0.0145513i
$469$	7.74512	+	40.3739i	0.357636	+	1.86429i
$470$	−0.602691	+	7.49412i	−0.0278001	+	0.345678i
$471$	−14.2157	−	9.70619i	−0.655024	−	0.447237i
$472$	−4.44656	−	15.2990i	−0.204670	−	0.704194i
$473$	−11.8066	+	6.81656i	−0.542869	+	0.313426i
$474$	0.859667	+	2.23048i	0.0394858	+	0.102449i
$475$	14.3527	−	8.28654i	0.658547	−	0.380213i
$476$	−0.489009	−	16.8380i	−0.0224137	−	0.771768i
$477$	28.9419	−	11.3137i	1.32516	−	0.518018i
$478$	9.05602	+	0.728302i	0.414213	+	0.0333118i
$479$	1.63593			0.0747475			0.0373737	−	0.999301i	$-0.488101\pi$
$479$	1.63593			0.0747475			0.0373737	+	0.999301i	$0.488101\pi$
$480$	−13.4541	−	6.94840i	−0.614094	−	0.317150i
$481$	−1.31585			−0.0599978
$482$	−2.64694	−	5.57393i	−0.120565	−	0.253885i
$483$	−0.323124	−	2.82075i	−0.0147027	−	0.128348i
$484$	−5.13436	+	6.29627i	−0.233380	+	0.286194i
$485$	−13.7198	+	7.92113i	−0.622984	+	0.359680i
$486$	9.74021	−	19.7770i	0.441825	−	0.897101i
$487$	−12.4864	−	7.20905i	−0.565815	−	0.326673i	0.189661	−	0.981850i	$-0.439261\pi$
$487$	−12.4864	−	7.20905i	−0.565815	−	0.326673i	−0.755476	+	0.655176i	$0.772594\pi$
$488$	−18.2798	+	19.0661i	−0.827486	+	0.863081i
$489$	6.01101	−	8.80373i	0.271827	−	0.398119i
$490$	14.9145	+	3.41016i	0.673767	+	0.154055i
$491$	5.41087	−	9.37190i	0.244189	−	0.422948i	−0.717714	−	0.696338i	$-0.754812\pi$
$491$	5.41087	−	9.37190i	0.244189	−	0.422948i	0.961903	+	0.273390i	$0.0881449\pi$
$492$	−4.46111	+	4.69768i	−0.201122	+	0.211788i
$493$	17.7571			0.799740
$494$	1.38801	−	0.659137i	0.0624495	−	0.0296560i
$495$	−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
$498$	1.71303	−	10.9112i	0.0767627	−	0.488945i
$499$			16.9229i			0.757571i	0.925484	+	0.378786i	$0.123658\pi$
$499$			16.9229i			0.757571i	−0.925484	+	0.378786i	$0.876342\pi$
$500$	18.2330	+	14.8683i	0.815404	+	0.664930i
$501$	1.47087	−	19.4508i	0.0657138	−	0.868998i
$502$	−2.80914	−	5.91548i	−0.125378	−	0.264021i
$503$	15.3914			0.686267			0.343134	−	0.939287i	$-0.388512\pi$
$503$	15.3914			0.686267			0.343134	+	0.939287i	$0.388512\pi$
$504$	7.09248	+	21.3002i	0.315924	+	0.948784i
$505$	−16.5540			−0.736644
$506$	−1.45871	−	3.07175i	−0.0648475	−	0.136556i
$507$	−18.5536	−	12.6680i	−0.823995	−	0.562608i
$508$	13.7100	+	11.1800i	0.608284	+	0.496031i
$509$		−	8.53267i		−	0.378204i	−0.981957	−	0.189102i	$-0.939442\pi$
$509$		−	8.53267i		−	0.378204i	0.981957	−	0.189102i	$-0.0605577\pi$
$510$	11.2449	−	4.33399i	0.497933	−	0.191912i
$511$	−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
$514$	9.54193	−	4.53126i	0.420876	−	0.199865i
$515$	12.8578			0.566581
$516$	3.45194	+	11.6688i	0.151963	+	0.513689i
$517$	6.67512	−	11.5616i	0.293572	−	0.508481i
$518$	17.0090	+	23.1876i	0.747331	+	1.01880i
$519$	28.8931	+	2.18490i	1.26827	+	0.0959065i
$520$	0.540220	+	0.517940i	0.0236902	+	0.0227132i
$521$	−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	$0.721554\pi$
$522$	−22.6610	+	6.82151i	−0.991844	+	0.298570i
$523$	−9.19266	+	5.30738i	−0.401967	+	0.232076i	−0.687332	−	0.726343i	$-0.741218\pi$
$523$	−9.19266	+	5.30738i	−0.401967	+	0.232076i	0.285365	+	0.958419i	$0.407885\pi$
$524$	−5.48233	+	6.72299i	−0.239497	+	0.293695i
$525$	−1.36200	−	11.8898i	−0.0594428	−	0.518912i
$526$	18.3426	+	38.6259i	0.799777	+	1.68417i
$527$	−25.0712			−1.09212
$528$	16.2880	+	21.3936i	0.708843	+	0.931037i
$529$	−22.6161			−0.983311
$530$	−22.5663	−	1.81482i	−0.980218	−	0.0788309i
$531$	−16.7064	−	2.54121i	−0.724995	−	0.110279i
$532$	−29.5568	−	15.9390i	−1.28145	−	0.691042i
$533$	0.277290	−	0.160094i	0.0120108	−	0.00693443i
$534$	22.7702	+	3.57485i	0.985364	+	0.154699i
$535$	−22.2579	+	12.8506i	−0.962291	+	0.555579i
$536$	42.2022	−	12.2658i	1.82286	−	0.529802i
$537$	1.84165	−	24.3539i	0.0794730	−	1.05095i
$538$	−2.57999	+	32.0807i	−0.111231	+	1.38310i
$539$	−21.3255	−	16.8305i	−0.918556	−	0.724943i
$540$	−12.6854	+	9.85068i	−0.545893	+	0.423906i
$541$	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
$546$	−0.0375033	−	1.10893i	−0.00160499	−	0.0474578i
$547$	−23.1435	+	13.3619i	−0.989546	+	0.571315i	−0.905139	−	0.425117i	$-0.860233\pi$
$547$	−23.1435	+	13.3619i	−0.989546	+	0.571315i	−0.0844076	+	0.996431i	$0.526900\pi$
$548$	−29.9411	−	24.4158i	−1.27902	−	1.04299i
$549$	10.1999	+	26.0928i	0.435323	+	1.11361i
$550$	−6.14862	−	12.9478i	−0.262178	−	0.552094i
$551$	17.6993	−	30.6562i	0.754017	−	1.30600i
$552$	−2.97020	+	0.624928i	−0.126420	+	0.0265987i
$553$	−1.95276	+	1.68912i	−0.0830400	+	0.0718285i
$554$	2.06149	+	4.34108i	0.0875843	+	0.184435i
$555$	−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	$-0.673787\pi$
$558$	31.9949	−	9.63126i	1.35445	−	0.407724i
$559$		−	0.601421i		−	0.0254374i
$560$	2.14400	−	16.2146i	0.0906007	−	0.685191i
$561$	−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	0.948413	−	0.317037i	$-0.102688\pi$
$563$	4.73709	+	8.20489i	0.199645	+	0.345795i	−0.748769	+	0.662832i	$0.769355\pi$
$564$	−8.64076	−	8.20561i	−0.363842	−	0.345519i
$565$	−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	$0.546233\pi$
$570$	3.72605	−	23.7333i	0.156067	−	0.994077i
$571$	11.5286	−	6.65604i	0.482457	−	0.278546i	−0.238983	−	0.971024i	$-0.576814\pi$
$571$	11.5286	−	6.65604i	0.482457	−	0.278546i	0.721440	+	0.692477i	$0.243481\pi$
$572$	−0.472000	−	1.24228i	−0.0197353	−	0.0519423i
$573$	−1.58314	+	20.9354i	−0.0661365	+	0.874588i
$574$	−6.40543	−	2.81693i	−0.267357	−	0.117576i
$575$	1.61800			0.0674754
$576$	21.9652	−	9.67106i	0.915217	−	0.402961i
$577$	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
$580$	17.0197	+	2.75532i	0.706703	+	0.114409i
$581$	11.7162	−	2.24758i	0.486071	−	0.0932452i
$582$	3.89436	−	24.8053i	0.161426	−	1.02821i
$583$	34.8144	+	20.1001i	1.44187	+	0.832462i
$584$	−21.5811	+	22.5095i	−0.893034	+	0.931448i
$585$	0.739315	−	0.289006i	0.0305669	−	0.0119489i
$586$	−0.515946	+	6.41550i	−0.0213135	+	0.265022i
$587$	2.72485	+	4.71959i	0.112467	+	0.194798i	0.916764	−	0.399429i	$-0.130791\pi$
$587$	2.72485	+	4.71959i	0.112467	+	0.194798i	−0.804297	+	0.594227i	$0.797458\pi$
$588$	−19.0564	+	14.9951i	−0.785874	+	0.618387i
$589$	−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	$0.226878\pi$
$594$	27.8511	−	6.13803i	1.14274	−	0.251846i
$595$	8.51564	+	9.84481i	0.349107	+	0.403598i
$596$	−0.106526	−	0.0868679i	−0.00436348	−	0.00355825i
$597$	−17.3107	−	1.30904i	−0.708480	−	0.0535754i
$598$	0.149530	+	0.0120255i	0.00611472	+	0.000491757i
$599$	−2.32256	−	4.02279i	−0.0948973	−	0.164367i	0.814668	−	0.579927i	$-0.196919\pi$
$599$	−2.32256	−	4.02279i	−0.0948973	−	0.164367i	−0.909566	+	0.415560i	$0.863586\pi$
$600$	−12.5197	+	2.63414i	−0.511115	+	0.107538i
$601$	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	$0.707333\pi$
$602$	−10.5981	+	7.77408i	−0.431945	+	0.316848i
$603$	7.00990	−	46.0844i	0.285465	−	1.87670i
$604$	6.02753	+	4.91521i	0.245257	+	0.199997i
$605$		−	6.27795i		−	0.255235i
$606$	16.4840	−	20.4125i	0.669618	−	0.829202i
$607$		−	2.48161i		−	0.100725i	−0.998731	−	0.0503627i	$-0.983962\pi$
$607$		−	2.48161i		−	0.100725i	0.998731	−	0.0503627i	$-0.0160377\pi$
$608$	−14.0210	+	33.0479i	−0.568625	+	1.34027i
$609$	−15.2171	−	20.5386i	−0.616629	−	0.832266i
$610$	1.63617	−	20.3448i	0.0662465	−	0.823738i
$611$	0.294471	+	0.510039i	0.0119130	+	0.0206340i
$612$	−5.85317	+	18.1816i	−0.236601	+	0.734948i
$613$	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	$0.151168\pi$
$614$	−27.3371	+	12.9818i	−1.10323	+	0.523903i
$615$	0.377483	−	4.99183i	0.0152216	−	0.201290i
$616$	−15.7899	+	24.3754i	−0.636194	+	0.982112i
$617$	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	$0.438878\pi$
$618$	−12.8034	+	15.8548i	−0.515029	+	0.637772i
$619$			7.36201i			0.295904i	0.988995	+	0.147952i	$0.0472681\pi$
$619$			7.36201i			0.295904i	−0.988995	+	0.147952i	$0.952732\pi$
$620$	−24.0300	−	3.89023i	−0.965066	−	0.156235i
$621$	−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
$624$	−1.17660	+	0.150387i	−0.0471017	+	0.00602030i
$625$	−5.12231			−0.204892
$626$	−39.2336	−	3.15524i	−1.56809	−	0.126109i
$627$	−24.0547	+	35.2305i	−0.960651	+	1.40697i
$628$	−19.6207	−	3.17641i	−0.782951	−	0.126752i
$629$			24.4667i			0.975550i
$630$	−14.6493	−	9.29225i	−0.583642	−	0.370212i
$631$			8.28274i			0.329731i	0.986316	+	0.164865i	$0.0527190\pi$
$631$			8.28274i			0.329731i	−0.986316	+	0.164865i	$0.947281\pi$
$632$	1.99241	+	1.91024i	0.0792540	+	0.0759854i
$633$	−2.09488	−	0.158415i	−0.0832641	−	0.00629644i
$634$	−3.60968	+	44.8843i	−0.143359	+	1.78258i
$635$	−13.6701			−0.542482
$636$	24.7087	−	26.0191i	0.979765	−	1.03172i
$637$	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
$640$	−17.4723	−	0.666806i	−0.690652	−	0.0263578i
$641$			37.0947i			1.46515i	0.680686	+	0.732575i	$0.261682\pi$
$641$			37.0947i			1.46515i	−0.680686	+	0.732575i	$0.738318\pi$
$642$	6.31788	−	40.2421i	0.249347	−	1.58823i
$643$	16.1566	+	9.32802i	0.637154	+	0.367861i	0.783518	−	0.621370i	$-0.213423\pi$
$643$	16.1566	+	9.32802i	0.637154	+	0.367861i	−0.146363	+	0.989231i	$0.546757\pi$
$644$	−1.72094	−	2.79041i	−0.0678145	−	0.109958i
$645$	−7.76565	−	5.30223i	−0.305772	−	0.208775i
$646$	−12.2558	−	25.8083i	−0.482199	−	1.01541i
$647$	8.56124	−	14.8285i	0.336577	−	0.582969i	−0.647209	−	0.762312i	$-0.724064\pi$
$647$	8.56124	−	14.8285i	0.336577	−	0.582969i	0.983786	+	0.179344i	$0.0573974\pi$
$648$	0.485023	−	25.4512i	0.0190535	−	0.999818i
$649$	−10.9305	−	18.9322i	−0.429061	−	0.743156i
$650$	0.630284	+	0.0506886i	0.0247218	+	0.00198817i
$651$	21.4850	+	28.9983i	0.842063	+	1.13653i
$652$	1.96714	−	12.1510i	0.0770392	−	0.475871i
$653$		−	20.9500i		−	0.819838i	−0.912122	−	0.409919i	$-0.865557\pi$
$653$		−	20.9500i		−	0.819838i	0.912122	−	0.409919i	$-0.134443\pi$
$654$	6.22504	−	2.39925i	0.243419	−	0.0938180i
$655$		−	6.70342i		−	0.261924i
$656$	−2.36023	+	7.09851i	−0.0921513	+	0.277150i
$657$	12.0421	+	30.8052i	0.469806	+	1.20183i
$658$	5.18136	−	11.7819i	0.201991	−	0.459308i
$659$	−17.2213	−	29.8281i	−0.670845	−	1.16194i	−0.977665	−	0.210170i	$-0.932598\pi$
$659$	−17.2213	−	29.8281i	−0.670845	−	1.16194i	0.306820	−	0.951768i	$-0.400735\pi$
$660$	−20.2018	−	4.85760i	−0.786352	−	0.189082i
$661$	−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	$0.983223\pi$
$662$	−1.85725	+	23.0939i	−0.0721842	+	0.897570i
$663$	0.532314	−	0.779627i	0.0206734	−	0.0302782i
$664$	−3.55945	−	12.2468i	−0.138133	−	0.475267i
$665$	25.4842	−	4.88875i	0.988234	−	0.189578i
$666$	−9.39904	−	31.2235i	−0.364205	−	1.20988i
$667$	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
$672$	17.8590	+	18.7898i	0.688927	+	0.724831i
$673$	−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	$0.970647\pi$
$674$	34.6065	+	2.78312i	1.33299	+	0.107202i
$675$	−3.04643	+	13.2235i	−0.117257	+	0.508973i
$676$	−25.6080	−	4.14569i	−0.984922	−	0.159450i
$677$	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	$0.661080\pi$
$678$	−11.3160	−	29.3604i	−0.434590	−	1.12758i
$679$	26.6353	−	5.10958i	1.02217	−	0.196088i
$680$	9.63045	−	10.0447i	0.369311	−	0.385197i
$681$	−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	$0.462895\pi$
$683$	−20.9596	+	36.3031i	−0.801996	+	1.38910i	−0.918300	+	0.395884i	$0.870438\pi$
$684$	25.5549	+	28.2275i	0.977115	+	1.07930i
$685$	29.8540			1.14066
$686$	−22.2069	−	13.8871i	−0.847865	−	0.530212i
$687$	−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
$690$	1.47355	−	1.82473i	0.0560972	−	0.0694664i
$691$	38.8610	+	22.4364i	1.47834	+	0.853522i	0.999700	−	0.0244868i	$-0.00779518\pi$
$691$	38.8610	+	22.4364i	1.47834	+	0.853522i	0.478644	+	0.878009i	$0.341129\pi$
$692$	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
$696$	−20.3452	+	18.2430i	−0.771185	+	0.691500i
$697$	−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
$700$	−7.25395	−	11.7619i	−0.274174	−	0.444558i
$701$		−	9.85201i		−	0.372105i	−0.982540	−	0.186053i	$-0.940431\pi$
$701$		−	9.85201i		−	0.372105i	0.982540	−	0.186053i	$-0.0595695\pi$
$702$	−0.379820	+	1.19942i	−0.0143354	+	0.0452693i
$703$	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
$706$	22.0266	−	10.4600i	0.828981	−	0.393666i
$707$	26.7728	+	9.29217i	1.00689	+	0.349468i
$708$	−18.7112	+	5.53527i	−0.703209	+	0.208028i
$709$	−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	$0.177556\pi$
$710$	10.0287	−	4.76240i	0.376369	−	0.178730i
$711$	2.72671	−	1.06590i	0.102260	−	0.0399743i
$712$	25.5573	−	7.42807i	0.957799	−	0.278379i
$713$	−4.22568	+	2.43970i	−0.158253	+	0.0913674i
$714$	−20.6191	+	0.697327i	−0.771652	+	0.0260968i
$715$	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	$-0.923854\pi$
$719$	−18.5276	−	32.0907i	−0.690962	−	1.19678i	0.280561	−	0.959836i	$-0.409479\pi$
$720$	−8.43128	+	16.5183i	−0.314215	+	0.615600i
$721$	−20.7949	−	7.21738i	−0.774442	−	0.268789i
$722$	−29.9883	−	2.41171i	−1.11605	−	0.0897546i
$723$	−6.81109	+	3.27437i	−0.253307	+	0.121775i
$724$	22.7812	−	27.9366i	0.846655	−	1.03825i
$725$	12.6155	−	7.28354i	0.468526	−	0.270504i
$726$	7.74125	+	6.25140i	0.287305	+	0.232011i
$727$	19.2090	−	11.0903i	0.712422	−	0.411317i	−0.0995353	−	0.995034i	$-0.531736\pi$
$727$	19.2090	−	11.0903i	0.712422	−	0.411317i	0.811957	+	0.583717i	$0.198402\pi$
$728$	−0.582964	−	1.14090i	−0.0216061	−	0.0422846i
$729$	−24.2784	−	11.8135i	−0.899200	−	0.437538i
$730$	1.93166	−	24.0191i	0.0714941	−	0.888989i
$731$	−11.1827			−0.413606
$732$	23.4577	+	22.2764i	0.867021	+	0.823358i
$733$	53.7108			1.98385			0.991926	−	0.126818i	$-0.0404764\pi$
$733$	53.7108			1.98385			0.991926	+	0.126818i	$0.0404764\pi$
$734$	−27.1394	+	12.8879i	−1.00173	+	0.475702i
$735$	4.08935	−	18.2861i	0.150838	−	0.674494i
$736$	−2.79866	+	2.10973i	−0.103160	+	0.0777657i
$737$	52.2244	−	30.1518i	1.92371	−	1.11066i
$738$	5.77947	+	5.43619i	0.212745	+	0.200109i
$739$	22.4805	+	12.9791i	0.826959	+	0.477445i	0.852810	−	0.522221i	$-0.174896\pi$
$739$	22.4805	+	12.9791i	0.826959	+	0.477445i	−0.0258513	+	0.999666i	$0.508230\pi$
$740$	−3.79643	+	23.4506i	−0.139559	+	0.862060i
$741$	−0.815379	−	1.69609i	−0.0299537	−	0.0623073i
$742$	35.4778	+	15.6021i	1.30243	+	0.572772i
$743$	−14.1181	+	24.4532i	−0.517942	+	0.897102i	0.481841	+	0.876259i	$0.339968\pi$
$743$	−14.1181	+	24.4532i	−0.517942	+	0.897102i	−0.999783	+	0.0208431i	$0.993365\pi$
$744$	28.7253	−	25.7572i	1.05312	−	0.944306i
$745$	0.106216			0.00389146
$746$	−6.10131	−	12.8481i	−0.223385	−	0.470404i
$747$	−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
$750$	18.1031	−	22.4174i	0.661031	−	0.818569i
$751$		−	19.1918i		−	0.700320i	−0.936690	−	0.350160i	$-0.886127\pi$
$751$		−	19.1918i		−	0.700320i	0.936690	−	0.350160i	$-0.113873\pi$
$752$	−13.0568	−	4.34132i	−0.476131	−	0.158312i
$753$	−7.22845	+	3.47502i	−0.263419	+	0.126637i
$754$	1.22001	−	0.579355i	0.0444300	−	0.0210989i
$755$	−6.00998			−0.218726
$756$	26.0455	−	8.81088i	0.947266	−	0.320449i
$757$	40.6959			1.47912			0.739558	−	0.673092i	$-0.235034\pi$
$757$	40.6959			1.47912			0.739558	+	0.673092i	$0.235034\pi$
$758$	1.52277	−	0.723133i	0.0553096	−	0.0262654i
$759$	−3.75354	+	1.80448i	−0.136245	+	0.0654985i
$760$	−7.74223	−	26.6382i	−0.280840	−	0.966269i
$761$		−	34.3029i		−	1.24348i	−0.783224	−	0.621740i	$-0.786426\pi$
$761$		−	34.3029i		−	1.24348i	0.783224	−	0.621740i	$-0.213574\pi$
$762$	13.6123	−	16.8564i	0.493122	−	0.610644i
$763$	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
$766$	−15.6928	−	33.0458i	−0.567003	−	1.19399i
$767$	0.964395			0.0348223
$768$	18.2206	−	20.8808i	0.657480	−	0.753472i
$769$	−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	$0.812577\pi$
$770$	−2.44769	−	22.3085i	−0.0882085	−	0.803941i
$771$	−5.60535	−	11.6598i	−0.201872	−	0.419918i
$772$	11.8797	+	1.92322i	0.427560	+	0.0692181i
$773$	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	$0.603334\pi$
$774$	14.2709	−	4.29590i	0.512958	−	0.154413i
$775$	−17.8117	+	10.2836i	−0.639815	+	0.369397i
$776$	−8.09196	−	27.8415i	−0.290484	−	0.999450i
$777$	28.2991	−	20.9670i	1.01523	−	0.752185i
$778$	10.4699	−	4.97192i	0.375363	−	0.178252i
$779$	−11.8682			−0.425224
$780$	0.631179	−	0.664651i	0.0225998	−	0.0237983i
$781$	−19.7138			−0.705415
$782$	0.223598	−	2.78032i	0.00799586	−	0.0994240i
$783$	8.48698	+	27.7137i	0.303300	+	0.990408i
$784$	−12.5691	+	25.0203i	−0.448897	+	0.893583i
$785$	13.3013	−	7.67949i	0.474743	−	0.274093i
$786$	8.26589	+	6.67508i	0.294835	+	0.238092i
$787$	−29.3615	+	16.9519i	−1.04662	+	0.604269i	−0.921702	−	0.387898i	$-0.873201\pi$
$787$	−29.3615	+	16.9519i	−1.04662	+	0.604269i	−0.124922	+	0.992167i	$0.539868\pi$
$788$	−18.1486	−	14.7994i	−0.646516	−	0.527208i
$789$	47.1991	−	22.6906i	1.68033	−	0.807806i
$790$	−2.12604	−	0.170980i	−0.0756412	−	0.00608321i
$791$	25.7048	−	22.2343i	0.913957	−	0.790561i
$792$	26.1062	−	20.0734i	0.927643	−	0.713278i
$793$	−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	$0.862659\pi$
$798$	−19.3482	+	36.2923i	−0.684918	+	1.28473i
$799$	9.48353	−	5.47532i	0.335503	−	0.193703i
$800$	−11.7967	+	8.89275i	−0.417075	+	0.314406i
$801$	4.24513	−	27.9083i	0.149994	−	0.986091i
$802$	−5.54845	+	2.63484i	−0.195923	+	0.0930395i
$803$	−21.3942	+	37.0558i	−0.754985	+	1.30767i
$804$	−15.2690	−	51.6146i	−0.538496	−	1.82031i
$805$	2.39330	+	0.830653i	0.0843526	+	0.0292767i
$806$	−1.72252	+	0.817988i	−0.0606732	+	0.0288124i
$807$	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	$0.713511\pi$
$810$	12.1386	+	15.4786i	0.426506	+	0.543863i
$811$			26.9277i			0.945560i	0.881180	+	0.472780i	$0.156750\pi$
$811$			26.9277i			0.945560i	−0.881180	+	0.472780i	$0.843250\pi$
$812$	−25.9792	−	14.0097i	−0.911692	−	0.491645i
$813$	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
$816$	2.79626	+	21.8774i	0.0978887	+	0.765863i
$817$	−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	$0.667233\pi$
$822$	−29.7277	+	36.8125i	−1.03687	+	1.28398i
$823$	−8.49712	+	4.90582i	−0.296191	+	0.171006i	−0.640731	−	0.767766i	$-0.721368\pi$
$823$	−8.49712	+	4.90582i	−0.296191	+	0.171006i	0.344539	+	0.938772i	$0.388035\pi$
$824$	−5.61059	+	22.8529i	−0.195454	+	0.796119i
$825$	−15.8216	+	7.60609i	−0.550837	+	0.264810i
$826$	−12.4659	−	16.9943i	−0.433746	−	0.591306i
$827$	−21.0637			−0.732456			−0.366228	−	0.930525i	$-0.619351\pi$
$827$	−21.0637			−0.732456			−0.366228	+	0.930525i	$0.619351\pi$
$828$	0.782730	+	3.63404i	0.0272017	+	0.126292i
$829$	−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
$832$	−1.15629	+	0.734158i	−0.0400873	+	0.0254523i
$833$	−8.24620	−	20.7020i	−0.285714	−	0.717283i
$834$	13.0799	+	33.9368i	0.452919	+	1.17514i
$835$	15.0732	+	8.70253i	0.521630	+	0.301163i
$836$	−7.87203	+	48.6256i	−0.272260	+	1.68175i
$837$	−11.9827	−	39.1289i	−0.414183	−	1.35249i
$838$	−25.2326	−	2.02925i	−0.871645	−	0.0700993i
$839$	−28.4151	−	49.2164i	−0.980999	−	1.69914i	−0.658520	−	0.752563i	$-0.728817\pi$
$839$	−28.4151	−	49.2164i	−0.980999	−	1.69914i	−0.322478	−	0.946577i	$-0.604516\pi$
$840$	−19.8710	−	2.53105i	−0.685615	−	0.0873296i
$841$	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
$846$	−9.99916	+	10.6306i	−0.343778	+	0.365486i
$847$	−3.52396	+	10.1533i	−0.121085	+	0.348872i
$848$	13.0726	−	39.3166i	0.448914	−	1.35014i
$849$	0.577379	−	0.845629i	0.0198156	−	0.0290219i
$850$	0.942492	−	11.7193i	0.0323272	−	0.401970i
$851$	2.38087	+	4.12379i	0.0816153	+	0.141362i
$852$	−4.11381	+	17.1085i	−0.140937	+	0.586127i
$853$	−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	$0.898996\pi$
$854$	−14.0662	+	31.9853i	−0.481336	+	1.09451i
$855$	−29.0886	−	4.42468i	−0.994811	−	0.151321i
$856$	−13.1277	−	45.1677i	−0.448696	−	1.54380i
$857$			20.8489i			0.712184i	0.934451	+	0.356092i	$0.115891\pi$
$857$			20.8489i			0.712184i	−0.934451	+	0.356092i	$0.884109\pi$
$858$	−1.51870	+	0.585335i	−0.0518476	+	0.0199830i
$859$		−	18.5760i		−	0.633806i	−0.948458	−	0.316903i	$-0.897357\pi$
$859$		−	18.5760i		−	0.633806i	0.948458	−	0.316903i	$-0.102643\pi$
$860$	−10.7183	−	1.73519i	−0.365490	−	0.0591694i
$861$	−3.41254	+	7.86139i	−0.116299	+	0.267916i
$862$	14.6818	+	1.18074i	0.500065	+	0.0402162i
$863$	−9.14990	−	15.8481i	−0.311466	−	0.539475i	0.667214	−	0.744866i	$-0.267487\pi$
$863$	−9.14990	−	15.8481i	−0.311466	−	0.539475i	−0.978680	+	0.205391i	$0.934153\pi$
$864$	−11.9728	−	26.8449i	−0.407324	−	0.913284i
$865$	−12.9271	+	22.3904i	−0.439535	+	0.761298i
$866$	5.99640	+	12.6272i	0.203766	+	0.429090i
$867$	9.82107	+	6.70563i	0.333541	+	0.227735i
$868$	36.6799	+	19.7803i	1.24500	+	0.671386i
$869$	3.27998	+	1.89370i	0.111266	+	0.0642393i
$870$	3.27505	−	20.8606i	0.111034	−	0.707241i
$871$			2.66027i			0.0901400i
$872$	5.33130	−	5.56063i	0.180541	−	0.188307i
$873$	−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
$876$	27.6942	+	26.2995i	0.935700	+	0.888578i
$877$	−48.7708			−1.64687			−0.823436	−	0.567409i	$-0.807946\pi$
$877$	−48.7708			−1.64687			−0.823436	+	0.567409i	$0.807946\pi$
$878$	1.74391	−	21.6846i	0.0588543	−	0.731819i
$879$	7.86028	+	0.594395i	0.265121	+	0.0200485i
$880$	−23.5011	+	4.82762i	−0.792223	+	0.162739i
$881$			25.9274i			0.873518i	0.899579	+	0.436759i	$0.143874\pi$
$881$			25.9274i			0.873518i	−0.899579	+	0.436759i	$0.856126\pi$
$882$	18.4763	+	23.2513i	0.622130	+	0.782914i
$883$		−	25.5672i		−	0.860405i	−0.902732	−	0.430202i	$-0.858442\pi$
$883$		−	25.5672i		−	0.860405i	0.902732	−	0.430202i	$-0.141558\pi$
$884$	0.174203	−	1.07605i	0.00585908	−	0.0361916i
$885$	8.50226	−	12.4524i	0.285801	−	0.418584i
$886$	9.90736	+	0.796768i	0.332844	+	0.0267680i
$887$	24.4381			0.820551			0.410275	−	0.911962i	$-0.365433\pi$
$887$	24.4381			0.820551			0.410275	+	0.911962i	$0.365433\pi$
$888$	−25.1362	−	28.0327i	−0.843515	−	0.940717i
$889$	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
$892$	6.69589	−	41.3605i	0.224195	−	1.38485i
$893$		−	21.8300i		−	0.730514i
$894$	−0.105767	+	0.130974i	−0.00353738	+	0.00438042i
$895$	18.8729	+	10.8962i	0.630850	+	0.364221i
$896$	27.8836	+	10.8860i	0.931525	+	0.363677i
$897$	0.0138539	−	0.183204i	0.000462569	−	0.00611700i
$898$	−29.4649	+	13.9923i	−0.983256	+	0.466928i
$899$	−21.9649	+	38.0443i	−0.732570	+	1.26885i
$900$	3.29929	+	15.3179i	0.109976	+	0.510596i
$901$	16.4873	+	28.5568i	0.549271	+	0.951366i
$902$	−0.822830	+	10.2314i	−0.0273972	+	0.340669i
$903$	9.58311	+	12.9343i	0.318906	+	0.430428i
$904$	−26.2267	−	25.1451i	−0.872287	−	0.836313i
$905$			27.8553i			0.925941i
$906$	5.98458	−	7.41083i	0.198824	−	0.246208i
$907$		−	46.7259i		−	1.55151i	−0.631036	−	0.775754i	$-0.717370\pi$
$907$		−	46.7259i		−	1.55151i	0.631036	−	0.775754i	$-0.282630\pi$
$908$	−26.0497	+	31.9447i	−0.864488	+	1.06012i
$909$	−25.0962	−	20.0692i	−0.832389	−	0.665653i
$910$	0.906272	+	0.398553i	0.0300426	+	0.0132119i
$911$	5.05516	+	8.75579i	0.167485	+	0.290092i	0.937535	−	0.347891i	$-0.113102\pi$
$911$	5.05516	+	8.75579i	0.167485	+	0.290092i	−0.770050	+	0.637983i	$0.779769\pi$
$912$	40.5567	+	16.9787i	1.34297	+	0.562222i
$913$	−8.74983	−	15.1552i	−0.289577	−	0.501562i
$914$	−7.00269	−	0.563169i	−0.231628	−	0.0186280i
$915$	−24.9265	−	1.88495i	−0.824045	−	0.0623144i
$916$	−22.8545	+	28.0265i	−0.755134	+	0.926022i
$917$	−3.76279	+	10.8414i	−0.124258	+	0.358016i
$918$	22.3018	+	7.06229i	0.736068	+	0.233090i
$919$	7.01321	−	4.04908i	0.231344	−	0.133567i	−0.379848	−	0.925049i	$-0.624024\pi$
$919$	7.01321	−	4.04908i	0.231344	−	0.133567i	0.611192	+	0.791482i	$0.290690\pi$
$920$	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
$924$	29.9456	+	19.1959i	0.985137	+	0.631500i
$925$	10.0356	+	17.3822i	0.329970	+	0.571524i
$926$	−2.40022	+	29.8454i	−0.0788761	+	0.980780i
$927$	19.4926	+	15.5881i	0.640222	+	0.511979i
$928$	−12.3239	+	29.0477i	−0.404551	+	0.953539i
$929$	−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	$0.867892\pi$
$930$	−4.62402	+	29.4530i	−0.151628	+	0.965801i
$931$	−43.9597	−	6.39831i	−1.44072	−	0.209696i
$932$	5.27843	−	32.6049i	0.172901	−	1.06801i
$933$	−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
$936$	0.191061	+	1.44014i	0.00624503	+	0.0470724i
$937$	59.6868			1.94988			0.974942	−	0.222461i	$-0.0714090\pi$
$937$	59.6868			1.94988			0.974942	+	0.222461i	$0.0714090\pi$
$938$	46.8786	−	34.3872i	1.53064	−	1.12278i
$939$	−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	$0.397014\pi$
$942$	−3.77556	+	24.0486i	−0.123014	+	0.783547i
$943$	−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	−0.742350	−	0.670012i	$-0.766289\pi$
$947$	6.43387	−	11.1438i	0.209073	−	0.362124i	0.951423	+	0.307888i	$0.0996222\pi$
$948$	2.32789	−	2.45134i	0.0756063	−	0.0796157i
$949$	−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
$952$	−21.2136	+	10.8395i	−0.687538	+	0.351310i
$953$			3.31336i			0.107330i	0.998559	+	0.0536651i	$0.0170903\pi$
$953$			3.31336i			0.107330i	−0.998559	+	0.0536651i	$0.982910\pi$
$954$	−32.0108	−	30.1095i	−1.03639	−	0.974830i
$955$	−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
$958$	−0.992439	−	2.08988i	−0.0320643	−	0.0675209i
$959$	−48.2828	−	16.7577i	−1.55913	−	0.541136i
$960$	−0.714528	+	21.4027i	−0.0230613	+	0.690770i
$961$	15.5121	−	26.8677i	0.500390	−	0.866701i
$962$	0.798266	+	1.68099i	0.0257371	+	0.0541972i
$963$	−49.3227	−	7.50248i	−1.58940	−	0.241764i
$964$	−5.51485	+	6.76286i	−0.177621	+	0.217817i
$965$	−8.05350	+	4.64969i	−0.259251	+	0.149679i
$966$	−3.40744	+	2.12400i	−0.109633	+	0.0683385i
$967$	2.59128	+	1.49608i	0.0833300	+	0.0481106i	0.541086	−	0.840967i	$-0.318013\pi$
$967$	2.59128	+	1.49608i	0.0833300	+	0.0481106i	−0.457756	+	0.889078i	$0.651347\pi$
$968$	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	0.589829	−	0.807528i	$-0.299195\pi$
$971$	−12.6023	−	21.8277i	−0.404425	−	0.700485i	−0.994254	+	0.107043i	$0.965862\pi$
$972$	−31.1737	−	0.445254i	−0.999898	−	0.0142815i
$973$	−29.7114	+	25.7000i	−0.952504	+	0.823904i
$974$	−1.63455	+	20.3247i	−0.0523742	+	0.651244i
$975$	0.0583958	−	0.772225i	0.00187016	−	0.0247310i
$976$	35.4461	+	11.7857i	1.13460	+	0.377251i
$977$	−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	$0.438722\pi$
$978$	−14.8932	−	2.33819i	−0.476234	−	0.0747671i
$979$	31.6267	−	18.2597i	1.01079	−	0.583581i
$980$	−4.69146	−	21.1218i	−0.149863	−	0.674712i
$981$	−2.97482	−	7.60998i	−0.0949786	−	0.242968i
$982$	−15.2550	−	1.22684i	−0.486807	−	0.0391499i
$983$	1.76047			0.0561504			0.0280752	−	0.999606i	$-0.491062\pi$
$983$	1.76047			0.0561504			0.0280752	+	0.999606i	$0.491062\pi$
$984$	8.70756	+	2.84915i	0.277587	+	0.0908275i
$985$	18.0958			0.576579
$986$	−10.7724	−	22.6845i	−0.343063	−	0.722421i
$987$	−14.4600	−	6.27691i	−0.460266	−	0.199796i
$988$	−1.68408	−	1.37330i	−0.0535776	−	0.0436904i
$989$	−1.88481	+	1.08820i	−0.0599335	+	0.0346026i
$990$	−5.83117	+	24.7701i	−0.185327	+	0.787246i
$991$	10.4024	+	6.00585i	0.330444	+	0.190782i	0.656038	−	0.754728i	$-0.272231\pi$
$991$	10.4024	+	6.00585i	0.330444	+	0.190782i	−0.325594	+	0.945510i	$0.605564\pi$
$992$	17.4000	−	41.0124i	0.552451	−	1.30214i
$993$	28.2947	+	2.13965i	0.897904	+	0.0678997i
$994$	−18.8926	+	2.07290i	−0.599237	+	0.0657484i
$995$	7.74502	−	13.4148i	0.245534	−	0.425277i
$996$	−14.9782	+	4.43095i	−0.474602	+	0.140400i
$997$	−19.2531			−0.609751			−0.304876	−	0.952392i	$-0.598615\pi$
$997$	−19.2531			−0.609751			−0.304876	+	0.952392i	$0.598615\pi$
$998$	21.6187	−	10.2663i	0.684329	−	0.324973i
$999$	−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.95.18	yes	88
3.2	odd	2		756.2.o.a.179.27		88
4.3	odd	2	inner	252.2.o.a.95.2	✓	88
7.2	even	3		252.2.bb.a.23.13	yes	88
9.2	odd	6		252.2.bb.a.11.32	yes	88
9.7	even	3		756.2.bb.a.683.13		88
12.11	even	2		756.2.o.a.179.43		88
21.2	odd	6		756.2.bb.a.611.32		88
28.23	odd	6		252.2.bb.a.23.32	yes	88
36.7	odd	6		756.2.bb.a.683.32		88
36.11	even	6		252.2.bb.a.11.13	yes	88
63.2	odd	6	inner	252.2.o.a.191.2	yes	88
63.16	even	3		756.2.o.a.359.43		88
84.23	even	6		756.2.bb.a.611.13		88
252.79	odd	6		756.2.o.a.359.27		88
252.191	even	6	inner	252.2.o.a.191.18	yes	88

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

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)

\(f(q)\)	\(=\)	\(q+(-0.606652 - 1.27749i) q^{2} +(-1.56103 + 0.750453i) q^{3} +(-1.26395 + 1.54998i) q^{4} -1.54547i q^{5} +(1.90570 + 1.53893i) q^{6} +(-0.867509 + 2.49949i) q^{7} +(2.74686 + 0.674378i) q^{8} +(1.87364 - 2.34296i) q^{9} +O(q^{10})\)	\(q+(-0.606652 - 1.27749i) q^{2} +(-1.56103 + 0.750453i) q^{3} +(-1.26395 + 1.54998i) q^{4} -1.54547i q^{5} +(1.90570 + 1.53893i) q^{6} +(-0.867509 + 2.49949i) q^{7} +(2.74686 + 0.674378i) q^{8} +(1.87364 - 2.34296i) q^{9} +(-1.97432 + 0.937562i) q^{10} +3.88100 q^{11} +(0.809875 - 3.36810i) q^{12} +(-0.0856046 + 0.148271i) q^{13} +(3.71934 - 0.408086i) q^{14} +(1.15980 + 2.41253i) q^{15} +(-0.804876 - 3.91819i) q^{16} +(2.75692 + 1.59171i) q^{17} +(-4.12975 - 0.972192i) q^{18} +(5.49591 - 3.17307i) q^{19} +(2.39545 + 1.95339i) q^{20} +(-0.521536 - 4.55280i) q^{21} +(-2.35442 - 4.95793i) q^{22} +0.619563 q^{23} +(-4.79402 + 1.00866i) q^{24} +2.61153 q^{25} +(0.241347 + 0.0194096i) q^{26} +(-1.16653 + 5.06352i) q^{27} +(-2.77767 - 4.50384i) q^{28} +(4.83069 - 2.78900i) q^{29} +(2.37838 - 2.94519i) q^{30} +(-6.82042 + 3.93777i) q^{31} +(-4.51715 + 3.40519i) q^{32} +(-6.05837 + 2.91251i) q^{33} +(0.360897 - 4.48755i) q^{34} +(3.86288 + 1.34071i) q^{35} +(1.26336 + 5.86549i) 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} +(-5.49975 + 3.42822i) q^{42} +(-3.04216 + 1.75639i) q^{43} +(-4.90538 + 6.01547i) q^{44} +(-3.62097 - 2.89566i) q^{45} +(-0.375859 - 0.791484i) q^{46} +(1.71995 - 2.97904i) q^{47} +(4.19685 + 5.51239i) q^{48} +(-5.49486 - 4.33665i) q^{49} +(-1.58429 - 3.33619i) q^{50} +(-5.49815 - 0.415771i) q^{51} +(-0.121618 - 0.320093i) q^{52} +(8.97048 + 5.17911i) q^{53} +(7.17626 - 1.58156i) q^{54} -5.99797i q^{55} +(-4.06852 + 6.28070i) q^{56} +(-6.19806 + 9.07768i) q^{57} +(-6.49345 - 4.47919i) q^{58} +(-2.81642 - 4.87819i) q^{59} +(-5.20530 - 1.25164i) 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} +(7.39601 + 5.97261i) q^{66} +(13.4564 - 7.76908i) q^{67} +(-5.95172 + 2.26134i) q^{68} +(-0.967157 + 0.464953i) q^{69} +(-0.630684 - 5.74812i) q^{70} -5.07956 q^{71} +(6.72666 - 5.17223i) q^{72} +(-5.51255 + 9.54801i) q^{73} +(6.17166 - 8.94702i) q^{74} +(-4.07668 + 1.95983i) q^{75} +(-2.02835 + 12.5291i) q^{76} +(-3.36680 + 9.70050i) q^{77} +(-0.391317 + 0.150821i) q^{78} +(0.845137 + 0.487940i) q^{79} +(-6.05543 + 1.24391i) q^{80} +(-1.97893 - 8.77974i) q^{81} +(-0.212015 + 2.63628i) q^{82} +(-2.25453 - 3.90496i) q^{83} +(7.71595 + 4.94613i) 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} +(-1.50249 + 6.38240i) q^{90} +(-0.296340 - 0.342594i) q^{91} +(-0.783095 + 0.960310i) q^{92} +(7.69178 - 11.2654i) q^{93} +(-4.84909 - 0.389973i) q^{94} +(-4.90387 - 8.49376i) q^{95} +(4.49598 - 8.70552i) q^{96} +(-5.12539 - 8.87743i) q^{97} +(-2.20655 + 9.65045i) 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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