LMFDB - Embedded newform 273.2.cg.b.19.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(19,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 10, 5]))

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

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

chi := DirichletCharacter("273.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cg (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.3
Character	$\chi$	$=$	273.19
Dual form			273.2.cg.b.115.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.49615 - 0.400893i) q^{2} +1.00000i q^{3} +(0.345704 + 0.199592i) q^{4} +(0.481371 - 0.128983i) q^{5} +(0.400893 - 1.49615i) q^{6} +(-2.58563 - 0.560827i) q^{7} +(1.75331 + 1.75331i) q^{8} -1.00000 q^{9} +O(q^{10})$	\(q+(-1.49615 - 0.400893i) q^{2} +1.00000i q^{3} +(0.345704 + 0.199592i) q^{4} +(0.481371 - 0.128983i) q^{5} +(0.400893 - 1.49615i) q^{6} +(-2.58563 - 0.560827i) q^{7} +(1.75331 + 1.75331i) q^{8} -1.00000 q^{9} -0.771912 q^{10} +(1.32217 + 1.32217i) q^{11} +(-0.199592 + 0.345704i) q^{12} +(-3.48498 + 0.924630i) q^{13} +(3.64366 + 1.87564i) q^{14} +(0.128983 + 0.481371i) q^{15} +(-2.31951 - 4.01751i) q^{16} +(-1.95881 + 3.39275i) q^{17} +(1.49615 + 0.400893i) q^{18} +(-2.70752 - 2.70752i) q^{19} +(0.192156 + 0.0514880i) q^{20} +(0.560827 - 2.58563i) q^{21} +(-1.44812 - 2.50822i) q^{22} +(-4.25685 + 2.45769i) q^{23} +(-1.75331 + 1.75331i) q^{24} +(-4.11505 + 2.37582i) q^{25} +(5.58473 + 0.0137152i) q^{26} -1.00000i q^{27} +(-0.781926 - 0.709952i) q^{28} +(-2.28804 + 3.96301i) q^{29} -0.771912i q^{30} +(-1.12967 + 4.21599i) q^{31} +(0.576239 + 2.15055i) q^{32} +(-1.32217 + 1.32217i) q^{33} +(4.29080 - 4.29080i) q^{34} +(-1.31698 + 0.0635363i) q^{35} +(-0.345704 - 0.199592i) q^{36} +(0.0389735 - 0.145451i) q^{37} +(2.96543 + 5.13628i) q^{38} +(-0.924630 - 3.48498i) q^{39} +(1.07014 + 0.617844i) q^{40} +(4.92590 - 1.31989i) q^{41} +(-1.87564 + 3.64366i) q^{42} +(-5.06441 + 2.92394i) q^{43} +(0.193185 + 0.720977i) q^{44} +(-0.481371 + 0.128983i) q^{45} +(7.35416 - 1.97054i) q^{46} +(-2.39236 - 8.92840i) q^{47} +(4.01751 - 2.31951i) q^{48} +(6.37095 + 2.90018i) q^{49} +(7.10918 - 1.90490i) q^{50} +(-3.39275 - 1.95881i) q^{51} +(-1.38932 - 0.375926i) q^{52} +(6.56146 + 11.3648i) q^{53} +(-0.400893 + 1.49615i) q^{54} +(0.806994 + 0.465918i) q^{55} +(-3.55010 - 5.51670i) q^{56} +(2.70752 - 2.70752i) q^{57} +(5.01200 - 5.01200i) q^{58} +(-0.986638 - 3.68218i) q^{59} +(-0.0514880 + 0.192156i) q^{60} -11.7615i q^{61} +(3.38032 - 5.85488i) q^{62} +(2.58563 + 0.560827i) q^{63} +5.82948i q^{64} +(-1.55830 + 0.894592i) q^{65} +(2.50822 - 1.44812i) q^{66} +(6.99516 - 6.99516i) q^{67} +(-1.35433 + 0.781926i) q^{68} +(-2.45769 - 4.25685i) q^{69} +(1.99588 + 0.432909i) q^{70} +(-1.82020 - 0.487720i) q^{71} +(-1.75331 - 1.75331i) q^{72} +(6.55409 + 1.75616i) q^{73} +(-0.116621 + 0.201993i) q^{74} +(-2.37582 - 4.11505i) q^{75} +(-0.395600 - 1.47640i) q^{76} +(-2.67714 - 4.16016i) q^{77} +(-0.0137152 + 5.58473i) q^{78} +(2.22755 - 3.85822i) q^{79} +(-1.63474 - 1.63474i) q^{80} +1.00000 q^{81} -7.89902 q^{82} +(-5.85648 - 5.85648i) q^{83} +(0.709952 - 0.781926i) q^{84} +(-0.505305 + 1.88582i) q^{85} +(8.74931 - 2.34437i) q^{86} +(-3.96301 - 2.28804i) q^{87} +4.63635i q^{88} +(11.9450 + 3.20066i) q^{89} +0.771912 q^{90} +(9.52941 - 0.436280i) q^{91} -1.96215 q^{92} +(-4.21599 - 1.12967i) q^{93} +14.3173i q^{94} +(-1.65254 - 0.954096i) q^{95} +(-2.15055 + 0.576239i) q^{96} +(-2.09507 + 7.81890i) q^{97} +(-8.36924 - 6.89317i) q^{98} +(-1.32217 - 1.32217i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 8 q^{7} - 40 q^{9}+O(q^{10}) $ 40 * q - 8 * q^7 - 40 * q^9	$ 40 q - 8 q^{7} - 40 q^{9} + 4 q^{11} - 24 q^{12} - 18 q^{14} + 32 q^{16} + 4 q^{17} + 14 q^{19} + 14 q^{20} + 2 q^{21} + 4 q^{22} + 12 q^{23} + 24 q^{25} - 32 q^{26} + 16 q^{28} + 8 q^{29} + 14 q^{31} - 26 q^{32} - 4 q^{33} - 24 q^{34} + 26 q^{35} + 36 q^{37} - 8 q^{38} + 18 q^{39} - 30 q^{40} - 2 q^{41} - 66 q^{43} - 32 q^{44} - 26 q^{46} - 4 q^{47} + 24 q^{48} - 14 q^{49} - 20 q^{50} + 2 q^{52} - 8 q^{53} - 42 q^{55} + 46 q^{56} - 14 q^{57} + 24 q^{58} + 14 q^{59} + 2 q^{60} + 24 q^{62} + 8 q^{63} + 28 q^{65} - 18 q^{66} - 44 q^{67} - 18 q^{68} + 4 q^{69} - 4 q^{70} - 6 q^{71} + 14 q^{73} - 20 q^{74} + 24 q^{75} - 64 q^{76} + 24 q^{77} + 8 q^{78} + 20 q^{80} + 40 q^{81} + 48 q^{82} - 12 q^{83} + 22 q^{84} + 2 q^{85} - 60 q^{86} + 18 q^{87} - 2 q^{89} - 14 q^{91} + 236 q^{92} - 8 q^{93} + 24 q^{95} + 16 q^{96} - 62 q^{97} - 88 q^{98} - 4 q^{99}+O(q^{100}) $ 40 * q - 8 * q^7 - 40 * q^9 + 4 * q^11 - 24 * q^12 - 18 * q^14 + 32 * q^16 + 4 * q^17 + 14 * q^19 + 14 * q^20 + 2 * q^21 + 4 * q^22 + 12 * q^23 + 24 * q^25 - 32 * q^26 + 16 * q^28 + 8 * q^29 + 14 * q^31 - 26 * q^32 - 4 * q^33 - 24 * q^34 + 26 * q^35 + 36 * q^37 - 8 * q^38 + 18 * q^39 - 30 * q^40 - 2 * q^41 - 66 * q^43 - 32 * q^44 - 26 * q^46 - 4 * q^47 + 24 * q^48 - 14 * q^49 - 20 * q^50 + 2 * q^52 - 8 * q^53 - 42 * q^55 + 46 * q^56 - 14 * q^57 + 24 * q^58 + 14 * q^59 + 2 * q^60 + 24 * q^62 + 8 * q^63 + 28 * q^65 - 18 * q^66 - 44 * q^67 - 18 * q^68 + 4 * q^69 - 4 * q^70 - 6 * q^71 + 14 * q^73 - 20 * q^74 + 24 * q^75 - 64 * q^76 + 24 * q^77 + 8 * q^78 + 20 * q^80 + 40 * q^81 + 48 * q^82 - 12 * q^83 + 22 * q^84 + 2 * q^85 - 60 * q^86 + 18 * q^87 - 2 * q^89 - 14 * q^91 + 236 * q^92 - 8 * q^93 + 24 * q^95 + 16 * q^96 - 62 * q^97 - 88 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−1.49615	−	0.400893i	−1.05794	−	0.283474i	−0.312410	−	0.949947i	$-0.601136\pi$
$2$	−1.49615	−	0.400893i	−1.05794	−	0.283474i	−0.745529	+	0.666473i	$0.767803\pi$
$3$			1.00000i			0.577350i
$3$			1.00000i			0.577350i
$4$	0.345704	+	0.199592i	0.172852	+	0.0997962i
$5$	0.481371	−	0.128983i	0.215276	−	0.0576829i	−0.149569	−	0.988751i	$-0.547789\pi$
$5$	0.481371	−	0.128983i	0.215276	−	0.0576829i	0.364845	+	0.931068i	$0.381122\pi$
$6$	0.400893	−	1.49615i	0.163664	−	0.610801i
$7$	−2.58563	−	0.560827i	−0.977276	−	0.211973i
$7$	−2.58563	−	0.560827i	−0.977276	−	0.211973i
$8$	1.75331	+	1.75331i	0.619888	+	0.619888i
$9$	−1.00000			−0.333333
$10$	−0.771912			−0.244100
$11$	1.32217	+	1.32217i	0.398650	+	0.398650i	0.877757	−	0.479106i	$-0.159039\pi$
$11$	1.32217	+	1.32217i	0.398650	+	0.398650i	−0.479106	+	0.877757i	$0.659039\pi$
$12$	−0.199592	+	0.345704i	−0.0576174	+	0.0997962i
$13$	−3.48498	+	0.924630i	−0.966559	+	0.256446i
$13$	−3.48498	+	0.924630i	−0.966559	+	0.256446i
$14$	3.64366	+	1.87564i	0.973809	+	0.501286i
$15$	0.128983	+	0.481371i	0.0333033	+	0.124289i
$16$	−2.31951	−	4.01751i	−0.579878	−	1.00438i
$17$	−1.95881	+	3.39275i	−0.475080	+	0.822863i	−0.999593	−	0.0285396i	$-0.990914\pi$
$17$	−1.95881	+	3.39275i	−0.475080	+	0.822863i	0.524512	+	0.851403i	$0.324248\pi$
$18$	1.49615	+	0.400893i	0.352646	+	0.0944913i
$19$	−2.70752	−	2.70752i	−0.621147	−	0.621147i	0.324678	−	0.945825i	$-0.394744\pi$
$19$	−2.70752	−	2.70752i	−0.621147	−	0.621147i	−0.945825	+	0.324678i	$0.894744\pi$
$20$	0.192156	+	0.0514880i	0.0429674	+	0.0115131i
$21$	0.560827	−	2.58563i	0.122382	−	0.564230i
$22$	−1.44812	−	2.50822i	−0.308741	−	0.534755i
$23$	−4.25685	+	2.45769i	−0.887614	+	0.512464i	−0.873161	−	0.487431i	$-0.837934\pi$
$23$	−4.25685	+	2.45769i	−0.887614	+	0.512464i	−0.0144528	+	0.999896i	$0.504601\pi$
$24$	−1.75331	+	1.75331i	−0.357892	+	0.357892i
$25$	−4.11505	+	2.37582i	−0.823009	+	0.475165i
$26$	5.58473	+	0.0137152i	1.09526	+	0.00268977i
$27$		−	1.00000i		−	0.192450i
$28$	−0.781926	−	0.709952i	−0.147770	−	0.134168i
$29$	−2.28804	+	3.96301i	−0.424879	+	0.735912i	−0.996409	−	0.0846692i	$-0.973017\pi$
$29$	−2.28804	+	3.96301i	−0.424879	+	0.735912i	0.571530	+	0.820581i	$0.306350\pi$
$30$		−	0.771912i		−	0.140931i
$31$	−1.12967	+	4.21599i	−0.202895	+	0.757214i	0.787186	+	0.616716i	$0.211537\pi$
$31$	−1.12967	+	4.21599i	−0.202895	+	0.757214i	−0.990081	+	0.140498i	$0.955130\pi$
$32$	0.576239	+	2.15055i	0.101866	+	0.380168i
$33$	−1.32217	+	1.32217i	−0.230161	+	0.230161i
$34$	4.29080	−	4.29080i	0.735866	−	0.735866i
$35$	−1.31698	+	0.0635363i	−0.222611	+	0.0107396i
$36$	−0.345704	−	0.199592i	−0.0576174	−	0.0332654i
$37$	0.0389735	−	0.145451i	0.00640721	−	0.0239120i	−0.962648	−	0.270755i	$-0.912727\pi$
$37$	0.0389735	−	0.145451i	0.00640721	−	0.0239120i	0.969055	+	0.246843i	$0.0793933\pi$
$38$	2.96543	+	5.13628i	0.481057	+	0.833214i
$39$	−0.924630	−	3.48498i	−0.148059	−	0.558043i
$40$	1.07014	+	0.617844i	0.169204	+	0.0976898i
$41$	4.92590	−	1.31989i	0.769296	−	0.206132i	0.147235	−	0.989101i	$-0.452963\pi$
$41$	4.92590	−	1.31989i	0.769296	−	0.206132i	0.622060	+	0.782969i	$0.286296\pi$
$42$	−1.87564	+	3.64366i	−0.289418	+	0.562229i
$43$	−5.06441	+	2.92394i	−0.772315	+	0.445896i	−0.833700	−	0.552218i	$-0.813782\pi$
$43$	−5.06441	+	2.92394i	−0.772315	+	0.445896i	0.0613847	+	0.998114i	$0.480448\pi$
$44$	0.193185	+	0.720977i	0.0291238	+	0.108691i
$45$	−0.481371	+	0.128983i	−0.0717585	+	0.0192276i
$46$	7.35416	−	1.97054i	1.08431	−	0.290541i
$47$	−2.39236	−	8.92840i	−0.348961	−	1.30234i	−0.887916	−	0.460006i	$-0.847847\pi$
$47$	−2.39236	−	8.92840i	−0.348961	−	1.30234i	0.538955	−	0.842335i	$-0.318819\pi$
$48$	4.01751	−	2.31951i	0.579878	−	0.334793i
$49$	6.37095	+	2.90018i	0.910135	+	0.414311i
$50$	7.10918	−	1.90490i	1.00539	−	0.269393i
$51$	−3.39275	−	1.95881i	−0.475080	−	0.274288i
$52$	−1.38932	−	0.375926i	−0.192664	−	0.0521316i
$53$	6.56146	+	11.3648i	0.901285	+	1.56107i	0.825827	+	0.563923i	$0.190709\pi$
$53$	6.56146	+	11.3648i	0.901285	+	1.56107i	0.0754580	+	0.997149i	$0.475958\pi$
$54$	−0.400893	+	1.49615i	−0.0545546	+	0.203600i
$55$	0.806994	+	0.465918i	0.108815	+	0.0628244i
$56$	−3.55010	−	5.51670i	−0.474402	−	0.737200i
$57$	2.70752	−	2.70752i	0.358619	−	0.358619i
$58$	5.01200	−	5.01200i	0.658108	−	0.658108i
$59$	−0.986638	−	3.68218i	−0.128449	−	0.479380i	0.871490	−	0.490414i	$-0.163154\pi$
$59$	−0.986638	−	3.68218i	−0.128449	−	0.479380i	−0.999939	+	0.0110341i	$0.996488\pi$
$60$	−0.0514880	+	0.192156i	−0.00664708	+	0.0248072i
$61$		−	11.7615i		−	1.50590i	−0.658076	−	0.752951i	$-0.728630\pi$
$61$		−	11.7615i		−	1.50590i	0.658076	−	0.752951i	$-0.271370\pi$
$62$	3.38032	−	5.85488i	0.429301	−	0.743571i
$63$	2.58563	+	0.560827i	0.325759	+	0.0706575i
$64$			5.82948i			0.728685i
$65$	−1.55830	+	0.894592i	−0.193284	+	0.110961i
$66$	2.50822	−	1.44812i	0.308741	−	0.178252i
$67$	6.99516	−	6.99516i	0.854594	−	0.854594i	−0.136101	−	0.990695i	$-0.543457\pi$
$67$	6.99516	−	6.99516i	0.854594	−	0.854594i	0.990695	+	0.136101i	$0.0434570\pi$
$68$	−1.35433	+	0.781926i	−0.164237	+	0.0948224i
$69$	−2.45769	−	4.25685i	−0.295871	−	0.512464i
$70$	1.99588	+	0.432909i	0.238553	+	0.0517425i
$71$	−1.82020	−	0.487720i	−0.216017	−	0.0578817i	0.149187	−	0.988809i	$-0.452334\pi$
$71$	−1.82020	−	0.487720i	−0.216017	−	0.0578817i	−0.365205	+	0.930927i	$0.619001\pi$
$72$	−1.75331	−	1.75331i	−0.206629	−	0.206629i
$73$	6.55409	+	1.75616i	0.767098	+	0.205543i	0.621089	−	0.783740i	$-0.286690\pi$
$73$	6.55409	+	1.75616i	0.767098	+	0.205543i	0.146009	+	0.989283i	$0.453357\pi$
$74$	−0.116621	+	0.201993i	−0.0135569	+	0.0234812i
$75$	−2.37582	−	4.11505i	−0.274336	−	0.475165i
$76$	−0.395600	−	1.47640i	−0.0453784	−	0.169355i
$77$	−2.67714	−	4.16016i	−0.305088	−	0.474094i
$78$	−0.0137152	+	5.58473i	−0.00155294	+	0.632346i
$79$	2.22755	−	3.85822i	0.250618	−	0.434084i	−0.713078	−	0.701085i	$-0.752699\pi$
$79$	2.22755	−	3.85822i	0.250618	−	0.434084i	0.963696	+	0.267001i	$0.0860327\pi$
$80$	−1.63474	−	1.63474i	−0.182769	−	0.182769i
$81$	1.00000			0.111111
$82$	−7.89902			−0.872301
$83$	−5.85648	−	5.85648i	−0.642832	−	0.642832i	0.308418	−	0.951251i	$-0.400200\pi$
$83$	−5.85648	−	5.85648i	−0.642832	−	0.642832i	−0.951251	+	0.308418i	$0.900200\pi$
$84$	0.709952	−	0.781926i	0.0774621	−	0.0853151i
$85$	−0.505305	+	1.88582i	−0.0548080	+	0.204546i
$86$	8.74931	−	2.34437i	0.943462	−	0.252800i
$87$	−3.96301	−	2.28804i	−0.424879	−	0.245304i
$88$			4.63635i			0.494237i
$89$	11.9450	+	3.20066i	1.26617	+	0.339269i	0.828562	−	0.559898i	$-0.189160\pi$
$89$	11.9450	+	3.20066i	1.26617	+	0.339269i	0.437607	+	0.899167i	$0.355826\pi$
$90$	0.771912			0.0813667
$91$	9.52941	−	0.436280i	0.998954	−	0.0457346i
$92$	−1.96215			−0.204568
$93$	−4.21599	−	1.12967i	−0.437178	−	0.117141i
$94$			14.3173i			1.47672i
$95$	−1.65254	−	0.954096i	−0.169547	−	0.0978882i
$96$	−2.15055	+	0.576239i	−0.219490	+	0.0588122i
$97$	−2.09507	+	7.81890i	−0.212722	+	0.793889i	0.774234	+	0.632899i	$0.218135\pi$
$97$	−2.09507	+	7.81890i	−0.212722	+	0.793889i	−0.986956	+	0.160990i	$0.948531\pi$
$98$	−8.36924	−	6.89317i	−0.845421	−	0.696316i
$99$	−1.32217	−	1.32217i	−0.132883	−	0.132883i
$100$	−1.89678			−0.189678
$101$	−7.13841			−0.710298			−0.355149	−	0.934810i	$-0.615570\pi$
$101$	−7.13841			−0.710298			−0.355149	+	0.934810i	$0.615570\pi$
$102$	4.29080	+	4.29080i	0.424853	+	0.424853i
$103$	−6.77987	+	11.7431i	−0.668041	+	1.15708i	0.310410	+	0.950603i	$0.399534\pi$
$103$	−6.77987	+	11.7431i	−0.668041	+	1.15708i	−0.978451	+	0.206478i	$0.933800\pi$
$104$	−7.73139	−	4.48907i	−0.758126	−	0.440190i
$105$	−0.0635363	−	1.31698i	−0.00620050	−	0.128524i
$106$	−5.26088	−	19.6339i	−0.510982	−	1.90701i
$107$	7.16684	+	12.4133i	0.692844	+	1.20004i	0.970902	+	0.239477i	$0.0769760\pi$
$107$	7.16684	+	12.4133i	0.692844	+	1.20004i	−0.278058	+	0.960564i	$0.589691\pi$
$108$	0.199592	−	0.345704i	0.0192058	−	0.0332654i
$109$	8.27315	+	2.21678i	0.792424	+	0.212329i	0.632255	−	0.774760i	$-0.282129\pi$
$109$	8.27315	+	2.21678i	0.792424	+	0.212329i	0.160169	+	0.987090i	$0.448796\pi$
$110$	−1.02060	−	1.02060i	−0.0973106	−	0.0973106i
$111$	0.145451	+	0.0389735i	0.0138056	+	0.00369920i
$112$	3.74426	+	11.6886i	0.353800	+	1.10447i
$113$	5.02934	+	8.71107i	0.473120	+	0.819468i	0.999527	−	0.0307647i	$-0.00979426\pi$
$113$	5.02934	+	8.71107i	0.473120	+	0.819468i	−0.526406	+	0.850233i	$0.676461\pi$
$114$	−5.13628	+	2.96543i	−0.481057	+	0.277738i
$115$	−1.73212	+	1.73212i	−0.161521	+	0.161521i
$116$	−1.58197	+	0.913352i	−0.146882	+	0.0848026i
$117$	3.48498	−	0.924630i	0.322186	−	0.0854820i
$118$			5.90464i			0.543566i
$119$	6.96749	−	7.67384i	0.638709	−	0.703460i
$120$	−0.617844	+	1.07014i	−0.0564012	+	0.0976898i
$121$		−	7.50371i		−	0.682156i
$122$	−4.71509	+	17.5970i	−0.426884	+	1.59315i
$123$	1.31989	+	4.92590i	0.119010	+	0.444153i
$124$	−1.23201	+	1.23201i	−0.110638	+	0.110638i
$125$	−3.43636	+	3.43636i	−0.307358	+	0.307358i
$126$	−3.64366	−	1.87564i	−0.324603	−	0.167095i
$127$	−16.1635	−	9.33200i	−1.43428	−	0.828081i	−0.436835	−	0.899542i	$-0.643901\pi$
$127$	−16.1635	−	9.33200i	−1.43428	−	0.828081i	−0.997443	+	0.0714604i	$0.977234\pi$
$128$	3.48947	−	13.0229i	0.308429	−	1.15107i
$129$	−2.92394	−	5.06441i	−0.257438	−	0.445896i
$130$	2.69010	−	0.713733i	0.235937	−	0.0625985i
$131$	−1.88052	−	1.08572i	−0.164302	−	0.0948599i	0.415594	−	0.909550i	$-0.363574\pi$
$131$	−1.88052	−	1.08572i	−0.164302	−	0.0948599i	−0.579896	+	0.814690i	$0.696907\pi$
$132$	−0.720977	+	0.193185i	−0.0627530	+	0.0168146i
$133$	5.48218	+	8.51908i	0.475366	+	0.738698i
$134$	−13.2701	+	7.66151i	−1.14636	+	0.661854i
$135$	−0.128983	−	0.481371i	−0.0111011	−	0.0414298i
$136$	−9.38293	+	2.51415i	−0.804579	+	0.215586i
$137$	−8.68418	+	2.32692i	−0.741940	+	0.198802i	−0.609940	−	0.792448i	$-0.708807\pi$
$137$	−8.68418	+	2.32692i	−0.741940	+	0.198802i	−0.132000	+	0.991250i	$0.542140\pi$
$138$	1.97054	+	7.35416i	0.167744	+	0.626028i
$139$	−7.57721	+	4.37470i	−0.642690	+	0.371057i	−0.785650	−	0.618671i	$-0.787671\pi$
$139$	−7.57721	+	4.37470i	−0.642690	+	0.371057i	0.142960	+	0.989729i	$0.454338\pi$
$140$	−0.467968	−	0.240895i	−0.0395505	−	0.0203593i
$141$	8.92840	−	2.39236i	0.751907	−	0.201473i
$142$	2.52776	+	1.45941i	0.212125	+	0.122471i
$143$	−5.83026	−	3.38522i	−0.487551	−	0.283087i
$144$	2.31951	+	4.01751i	0.193293	+	0.334793i
$145$	−0.590237	+	2.20279i	−0.0490165	+	0.182932i
$146$	−9.10188	−	5.25497i	−0.753277	−	0.434905i
$147$	−2.90018	+	6.37095i	−0.239203	+	0.525467i
$148$	0.0425043	−	0.0425043i	0.00349383	−	0.00349383i
$149$	−10.5464	+	10.5464i	−0.863991	+	0.863991i	−0.991799	−	0.127808i	$-0.959206\pi$
$149$	−10.5464	+	10.5464i	−0.863991	+	0.863991i	0.127808	+	0.991799i	$0.459206\pi$
$150$	1.90490	+	7.10918i	0.155534	+	0.580462i
$151$	−1.50664	+	5.62287i	−0.122609	+	0.457583i	−0.999743	−	0.0226626i	$-0.992786\pi$
$151$	−1.50664	+	5.62287i	−0.122609	+	0.457583i	0.877134	+	0.480245i	$0.159452\pi$
$152$		−	9.49422i		−	0.770083i
$153$	1.95881	−	3.39275i	0.158360	−	0.274288i
$154$	2.33763	+	7.29748i	0.188371	+	0.588047i
$155$			2.17516i			0.174713i
$156$	0.375926	−	1.38932i	0.0300982	−	0.111235i
$157$	8.97361	−	5.18091i	0.716172	−	0.413482i	−0.0971703	−	0.995268i	$-0.530979\pi$
$157$	8.97361	−	5.18091i	0.716172	−	0.413482i	0.813342	+	0.581786i	$0.197646\pi$
$158$	−4.87948	+	4.87948i	−0.388190	+	0.388190i
$159$	−11.3648	+	6.56146i	−0.901285	+	0.520357i
$160$	0.554770	+	0.960889i	0.0438584	+	0.0759650i
$161$	12.3850	−	3.96732i	0.976072	−	0.312669i
$162$	−1.49615	−	0.400893i	−0.117549	−	0.0314971i
$163$	6.45941	+	6.45941i	0.505940	+	0.505940i	0.913278	−	0.407338i	$-0.133543\pi$
$163$	6.45941	+	6.45941i	0.505940	+	0.505940i	−0.407338	+	0.913278i	$0.633543\pi$
$164$	1.96634	+	0.526880i	0.153546	+	0.0411424i
$165$	−0.465918	+	0.806994i	−0.0362717	+	0.0628244i
$166$	6.41436	+	11.1100i	0.497851	+	0.862304i
$167$	−1.16987	−	4.36602i	−0.0905275	−	0.337853i	0.905776	−	0.423757i	$-0.139289\pi$
$167$	−1.16987	−	4.36602i	−0.0905275	−	0.337853i	−0.996303	+	0.0859038i	$0.972622\pi$
$168$	5.51670	−	3.55010i	0.425623	−	0.273896i
$169$	11.2901	−	6.44462i	0.868471	−	0.495740i
$170$	1.51203	−	2.61891i	0.115967	−	0.200861i
$171$	2.70752	+	2.70752i	0.207049	+	0.207049i
$172$	−2.33438			−0.177995
$173$	−16.4696			−1.25216			−0.626081	−	0.779758i	$-0.715342\pi$
$173$	−16.4696			−1.25216			−0.626081	+	0.779758i	$0.715342\pi$
$174$	5.01200	+	5.01200i	0.379959	+	0.379959i
$175$	11.9724	−	3.83517i	0.905029	−	0.289911i
$176$	2.24505	−	8.37864i	0.169227	−	0.631564i
$177$	3.68218	−	0.986638i	0.276770	−	0.0741603i
$178$	−16.5884	−	9.57733i	−1.24336	−	0.717851i
$179$		−	5.18994i		−	0.387914i	−0.981010	−	0.193957i	$-0.937868\pi$
$179$		−	5.18994i		−	0.387914i	0.981010	−	0.193957i	$-0.0621322\pi$
$180$	−0.192156	−	0.0514880i	−0.0143225	−	0.00383769i
$181$	−23.2601			−1.72891			−0.864454	−	0.502713i	$-0.832335\pi$
$181$	−23.2601			−1.72891			−0.864454	+	0.502713i	$0.832335\pi$
$182$	−14.4323	−	3.16753i	−1.06980	−	0.234793i
$183$	11.7615			0.869433
$184$	−11.7727	−	3.15447i	−0.867892	−	0.232551i
$185$		−	0.0750429i		−	0.00551726i
$186$	5.85488	+	3.38032i	0.429301	+	0.247857i
$187$	−7.07569	+	1.89593i	−0.517426	+	0.138644i
$188$	0.954992	−	3.56408i	0.0696500	−	0.259937i
$189$	−0.560827	+	2.58563i	−0.0407941	+	0.188077i
$190$	2.08997	+	2.08997i	0.151622	+	0.151622i
$191$	19.0528			1.37861			0.689305	−	0.724471i	$-0.257916\pi$
$191$	19.0528			1.37861			0.689305	+	0.724471i	$0.257916\pi$
$192$	−5.82948			−0.420706
$193$	−2.42204	−	2.42204i	−0.174342	−	0.174342i	0.614542	−	0.788884i	$-0.289341\pi$
$193$	−2.42204	−	2.42204i	−0.174342	−	0.174342i	−0.788884	+	0.614542i	$0.789341\pi$
$194$	6.26908	−	10.8584i	0.450094	−	0.779585i
$195$	−0.894592	−	1.55830i	−0.0640631	−	0.111593i
$196$	1.62361	+	2.27420i	0.115972	+	0.162443i
$197$	2.33053	+	8.69765i	0.166043	+	0.619682i	0.997905	+	0.0646986i	$0.0206086\pi$
$197$	2.33053	+	8.69765i	0.166043	+	0.619682i	−0.831862	+	0.554983i	$0.812725\pi$
$198$	1.44812	+	2.50822i	0.102914	+	0.178252i
$199$	11.1179	−	19.2568i	0.788127	−	1.36508i	−0.138986	−	0.990294i	$-0.544384\pi$
$199$	11.1179	−	19.2568i	0.788127	−	1.36508i	0.927113	−	0.374782i	$-0.122282\pi$
$200$	−11.3805	−	3.04939i	−0.804722	−	0.215625i
$201$	6.99516	+	6.99516i	0.493400	+	0.493400i
$202$	10.6801	+	2.86173i	0.751452	+	0.201351i
$203$	8.13859	−	8.96367i	0.571217	−	0.629126i
$204$	−0.781926	−	1.35433i	−0.0547457	−	0.0948224i
$205$	2.20094	−	1.27071i	0.153720	−	0.0887504i
$206$	14.8514	−	14.8514i	1.03475	−	1.03475i
$207$	4.25685	−	2.45769i	0.295871	−	0.170821i
$208$	11.7981	+	11.8562i	0.818054	+	0.822082i
$209$		−	7.15961i		−	0.495241i
$210$	−0.432909	+	1.99588i	−0.0298736	+	0.137729i
$211$	1.21409	−	2.10286i	0.0835813	−	0.144767i	−0.821204	−	0.570634i	$-0.806697\pi$
$211$	1.21409	−	2.10286i	0.0835813	−	0.144767i	0.904786	+	0.425867i	$0.140031\pi$
$212$			5.23847i			0.359779i
$213$	0.487720	−	1.82020i	0.0334180	−	0.124718i
$214$	−5.74626	−	21.4453i	−0.392807	−	1.46597i
$215$	−2.06072	+	2.06072i	−0.140540	+	0.140540i
$216$	1.75331	−	1.75331i	0.119297	−	0.119297i
$217$	5.28535	−	10.2674i	0.358793	−	0.696998i
$218$	−11.4892	−	6.63329i	−0.778146	−	0.449263i
$219$	−1.75616	+	6.55409i	−0.118671	+	0.442884i
$220$	0.185987	+	0.322140i	0.0125393	+	0.0217186i
$221$	3.68935	−	13.6348i	0.248173	−	0.917178i
$222$	−0.201993	−	0.116621i	−0.0135569	−	0.00782706i
$223$	−0.632245	+	0.169409i	−0.0423382	+	0.0113445i	−0.279926	−	0.960022i	$-0.590310\pi$
$223$	−0.632245	+	0.169409i	−0.0423382	+	0.0113445i	0.237588	+	0.971366i	$0.423643\pi$
$224$	−0.283852	−	5.88370i	−0.0189657	−	0.393122i
$225$	4.11505	−	2.37582i	0.274336	−	0.158388i
$226$	−4.03245	−	15.0493i	−0.268235	−	1.00106i
$227$	−1.79175	+	0.480097i	−0.118922	+	0.0318652i	−0.317789	−	0.948161i	$-0.602941\pi$
$227$	−1.79175	+	0.480097i	−0.118922	+	0.0318652i	0.198867	+	0.980026i	$0.436274\pi$
$228$	1.47640	−	0.395600i	0.0977769	−	0.0261993i
$229$	3.91765	+	14.6209i	0.258885	+	0.966174i	0.965887	+	0.258962i	$0.0833805\pi$
$229$	3.91765	+	14.6209i	0.258885	+	0.966174i	−0.707002	+	0.707211i	$0.749953\pi$
$230$	3.28591	−	1.89712i	0.216667	−	0.125093i
$231$	4.16016	−	2.67714i	0.273718	−	0.176143i
$232$	−10.9600	+	2.93673i	−0.719560	+	0.192806i
$233$	20.8054	+	12.0120i	1.36300	+	0.786931i	0.990023	−	0.140907i	$-0.0450020\pi$
$233$	20.8054	+	12.0120i	1.36300	+	0.786931i	0.372982	+	0.927839i	$0.378335\pi$
$234$	−5.58473	−	0.0137152i	−0.365085	−	0.000896590i
$235$	−2.30322	−	3.98930i	−0.150246	−	0.260233i
$236$	0.393851	−	1.46987i	0.0256375	−	0.0956805i
$237$	3.85822	+	2.22755i	0.250618	+	0.144695i
$238$	−13.5008	+	8.68802i	−0.875128	+	0.563161i
$239$	2.03275	−	2.03275i	0.131487	−	0.131487i	−0.638300	−	0.769788i	$-0.720362\pi$
$239$	2.03275	−	2.03275i	0.131487	−	0.131487i	0.769788	+	0.638300i	$0.220362\pi$
$240$	1.63474	−	1.63474i	0.105522	−	0.105522i
$241$	−5.78978	−	21.6078i	−0.372953	−	1.39188i	−0.856313	−	0.516457i	$-0.827251\pi$
$241$	−5.78978	−	21.6078i	−0.372953	−	1.39188i	0.483361	−	0.875421i	$-0.339416\pi$
$242$	−3.00818	+	11.2267i	−0.193373	+	0.721679i
$243$			1.00000i			0.0641500i
$244$	2.34750	−	4.06599i	0.150283	−	0.260298i
$245$	3.44086	+	0.574318i	0.219829	+	0.0366919i
$246$		−	7.89902i		−	0.503623i
$247$	11.9391	+	6.93218i	0.759666	+	0.441084i
$248$	−9.37258	+	5.41126i	−0.595160	+	0.343616i
$249$	5.85648	−	5.85648i	0.371139	−	0.371139i
$250$	6.51893	−	3.76371i	0.412293	−	0.238038i
$251$	10.2228	+	17.7064i	0.645256	+	1.11762i	0.984242	+	0.176825i	$0.0565827\pi$
$251$	10.2228	+	17.7064i	0.645256	+	1.11762i	−0.338986	+	0.940791i	$0.610084\pi$
$252$	0.781926	+	0.709952i	0.0492567	+	0.0447228i
$253$	−8.87779	−	2.37880i	−0.558142	−	0.149554i
$254$	20.4419	+	20.4419i	1.28264	+	1.28264i
$255$	−1.88582	−	0.505305i	−0.118095	−	0.0316434i
$256$	−4.61208	+	7.98836i	−0.288255	+	0.499273i
$257$	−2.38426	−	4.12966i	−0.148726	−	0.257601i	0.782031	−	0.623240i	$-0.214184\pi$
$257$	−2.38426	−	4.12966i	−0.148726	−	0.257601i	−0.930757	+	0.365639i	$0.880851\pi$
$258$	2.34437	+	8.74931i	0.145954	+	0.544708i
$259$	−0.182344	+	0.354225i	−0.0113303	+	0.0220105i
$260$	−0.717266	−	0.00176149i	−0.0444830	−	0.000109243i
$261$	2.28804	−	3.96301i	0.141626	−	0.245304i
$262$	2.37829	+	2.37829i	0.146931	+	0.146931i
$263$	−30.2896			−1.86773			−0.933867	−	0.357619i	$-0.883589\pi$
$263$	−30.2896			−1.86773			−0.933867	+	0.357619i	$0.883589\pi$
$264$	−4.63635			−0.285348
$265$	4.62436	+	4.62436i	0.284072	+	0.284072i
$266$	−4.78694	−	14.9436i	−0.293506	−	0.916251i
$267$	−3.20066	+	11.9450i	−0.195877	+	0.731023i
$268$	3.81443	−	1.02207i	0.233004	−	0.0624332i
$269$	9.92350	+	5.72934i	0.605047	+	0.349324i	0.771024	−	0.636806i	$-0.219745\pi$
$269$	9.92350	+	5.72934i	0.605047	+	0.349324i	−0.165978	+	0.986130i	$0.553078\pi$
$270$			0.771912i			0.0469771i
$271$	−28.5679	−	7.65475i	−1.73538	−	0.464993i	−0.753967	−	0.656912i	$-0.771862\pi$
$271$	−28.5679	−	7.65475i	−1.73538	−	0.464993i	−0.981411	+	0.191919i	$0.938529\pi$
$272$	18.1739			1.10195
$273$	0.436280	+	9.52941i	0.0264049	+	0.576746i
$274$	13.9257			0.841282
$275$	−8.58205	−	2.29955i	−0.517517	−	0.138668i
$276$		−	1.96215i		−	0.118107i
$277$	26.8500	+	15.5019i	1.61326	+	0.931416i	0.988608	+	0.150514i	$0.0480928\pi$
$277$	26.8500	+	15.5019i	1.61326	+	0.931416i	0.624653	+	0.780903i	$0.285241\pi$
$278$	13.0904	−	3.50757i	0.785112	−	0.210370i
$279$	1.12967	−	4.21599i	0.0676316	−	0.252405i
$280$	−2.42048	−	2.19768i	−0.144651	−	0.131336i
$281$	18.5399	+	18.5399i	1.10600	+	1.10600i	0.993671	+	0.112327i	$0.0358305\pi$
$281$	18.5399	+	18.5399i	1.10600	+	1.10600i	0.112327	+	0.993671i	$0.464169\pi$
$282$	−14.3173			−0.852584
$283$	−3.11440			−0.185132			−0.0925658	−	0.995707i	$-0.529507\pi$
$283$	−3.11440			−0.185132			−0.0925658	+	0.995707i	$0.529507\pi$
$284$	−0.531904	−	0.531904i	−0.0315627	−	0.0315627i
$285$	0.954096	−	1.65254i	0.0565158	−	0.0978882i
$286$	7.36585	+	7.40212i	0.435552	+	0.437696i
$287$	−13.4768	+	0.650170i	−0.795508	+	0.0383783i
$288$	−0.576239	−	2.15055i	−0.0339552	−	0.126723i
$289$	0.826155	+	1.43094i	0.0485974	+	0.0841731i
$290$	1.76617	−	3.05909i	0.103713	−	0.179636i
$291$	−7.81890	−	2.09507i	−0.458352	−	0.122815i
$292$	1.91526	+	1.91526i	0.112082	+	0.112082i
$293$	−10.6395	−	2.85085i	−0.621567	−	0.166548i	−0.0657272	−	0.997838i	$-0.520937\pi$
$293$	−10.6395	−	2.85085i	−0.621567	−	0.166548i	−0.555840	+	0.831289i	$0.687603\pi$
$294$	6.89317	−	8.36924i	0.402018	−	0.488104i
$295$	−0.949878	−	1.64524i	−0.0553040	−	0.0957894i
$296$	0.323353	−	0.186688i	0.0187945	−	0.0108510i
$297$	1.32217	−	1.32217i	0.0767203	−	0.0767203i
$298$	20.0069	−	11.5510i	1.15897	−	0.669131i
$299$	12.5626	−	12.5010i	0.726512	−	0.722952i
$300$		−	1.89678i		−	0.109511i
$301$	14.7345	−	4.71996i	0.849283	−	0.272054i
$302$	4.50833	−	7.80866i	0.259425	−	0.449338i
$303$		−	7.13841i		−	0.410091i
$304$	−4.59736	+	17.1576i	−0.263677	+	0.984055i
$305$	−1.51703	−	5.66163i	−0.0868649	−	0.324184i
$306$	−4.29080	+	4.29080i	−0.245289	+	0.245289i
$307$	−2.19463	+	2.19463i	−0.125254	+	0.125254i	−0.766955	−	0.641701i	$-0.778229\pi$
$307$	−2.19463	+	2.19463i	−0.125254	+	0.125254i	0.641701	+	0.766955i	$0.278229\pi$
$308$	−0.0951619	−	1.97252i	−0.00542235	−	0.112395i
$309$	−11.7431	−	6.77987i	−0.668041	−	0.385694i
$310$	0.872006	−	3.25437i	0.0495266	−	0.184836i
$311$	−2.52308	−	4.37011i	−0.143071	−	0.247806i	0.785581	−	0.618759i	$-0.212364\pi$
$311$	−2.52308	−	4.37011i	−0.143071	−	0.247806i	−0.928652	+	0.370953i	$0.879031\pi$
$312$	4.48907	−	7.73139i	0.254144	−	0.437704i
$313$	−18.6079	−	10.7433i	−1.05178	−	0.607245i	−0.128632	−	0.991692i	$-0.541059\pi$
$313$	−18.6079	−	10.7433i	−1.05178	−	0.607245i	−0.923147	+	0.384447i	$0.874392\pi$
$314$	−15.5029	+	4.15398i	−0.874877	+	0.234423i
$315$	1.31698	−	0.0635363i	0.0742036	−	0.00357986i
$316$	1.54014	−	0.889202i	0.0866398	−	0.0500215i
$317$	2.37875	+	8.87762i	0.133604	+	0.498617i	1.00000		0.000741159i	$-0.000235918\pi$
$317$	2.37875	+	8.87762i	0.133604	+	0.498617i	−0.866396	+	0.499358i	$0.833569\pi$
$318$	19.6339	−	5.26088i	1.10101	−	0.295015i
$319$	−8.26497	+	2.21459i	−0.462750	+	0.123993i
$320$	0.751903	+	2.80614i	0.0420327	+	0.156868i
$321$	−12.4133	+	7.16684i	−0.692844	+	0.400014i
$322$	−20.1203	+	0.970677i	−1.12126	+	0.0540937i
$323$	14.4894	−	3.88243i	0.806214	−	0.216024i
$324$	0.345704	+	0.199592i	0.0192058	+	0.0110885i
$325$	12.1441	−	12.0846i	0.673632	−	0.670332i
$326$	−7.07473	−	12.2538i	−0.391833	−	0.678674i
$327$	−2.21678	+	8.27315i	−0.122588	+	0.457506i
$328$	10.9508	+	6.32244i	0.604656	+	0.349098i
$329$	1.17846	+	24.4272i	0.0649707	+	1.34672i
$330$	1.02060	−	1.02060i	0.0561823	−	0.0561823i
$331$	−16.9208	+	16.9208i	−0.930052	+	0.930052i	−0.997709	−	0.0676566i	$-0.978448\pi$
$331$	−16.9208	+	16.9208i	−0.930052	+	0.930052i	0.0676566	+	0.997709i	$0.478448\pi$
$332$	−0.855701	−	3.19352i	−0.0469627	−	0.175267i
$333$	−0.0389735	+	0.145451i	−0.00213574	+	0.00797068i
$334$			7.00123i			0.383090i
$335$	2.46501	−	4.26952i	0.134678	−	0.233269i
$336$	−11.6886	+	3.74426i	−0.637667	+	0.204266i
$337$			26.6085i			1.44946i	0.689035	+	0.724728i	$0.258035\pi$
$337$			26.6085i			1.44946i	−0.689035	+	0.724728i	$0.741965\pi$
$338$	−19.4753	+	5.11601i	−1.05932	+	0.278274i
$339$	−8.71107	+	5.02934i	−0.473120	+	0.273156i
$340$	−0.551082	+	0.551082i	−0.0298866	+	0.0298866i
$341$	−7.06789	+	4.08065i	−0.382748	+	0.220979i
$342$	−2.96543	−	5.13628i	−0.160352	−	0.277738i
$343$	−14.8464	−	11.0718i	−0.801630	−	0.597820i
$344$	−14.0060	−	3.75290i	−0.755154	−	0.202343i
$345$	−1.73212	−	1.73212i	−0.0932543	−	0.0932543i
$346$	24.6411	+	6.60255i	1.32471	+	0.354955i
$347$	−10.2574	+	17.7664i	−0.550648	+	0.953751i	0.447580	+	0.894244i	$0.352286\pi$
$347$	−10.2574	+	17.7664i	−0.550648	+	0.953751i	−0.998228	+	0.0595067i	$0.981047\pi$
$348$	−0.913352	−	1.58197i	−0.0489608	−	0.0848026i
$349$	−2.23268	−	8.33248i	−0.119513	−	0.446027i	0.880072	−	0.474840i	$-0.157494\pi$
$349$	−2.23268	−	8.33248i	−0.119513	−	0.446027i	−0.999585	+	0.0288126i	$0.990827\pi$
$350$	−19.4500	+	0.938343i	−1.03965	+	0.0501565i
$351$	0.924630	+	3.48498i	0.0493531	+	0.186014i
$352$	−2.08152	+	3.60529i	−0.110945	+	0.192163i
$353$	−0.967089	−	0.967089i	−0.0514729	−	0.0514729i	0.680902	−	0.732375i	$-0.261588\pi$
$353$	−0.967089	−	0.967089i	−0.0514729	−	0.0514729i	−0.732375	+	0.680902i	$0.761588\pi$
$354$	−5.90464			−0.313828
$355$	−0.939097			−0.0498421
$356$	3.49061	+	3.49061i	0.185002	+	0.185002i
$357$	7.67384	+	6.96749i	0.406143	+	0.368759i
$358$	−2.08061	+	7.76493i	−0.109963	+	0.410389i
$359$	−29.5009	+	7.90474i	−1.55700	+	0.417196i	−0.931712	−	0.363199i	$-0.881685\pi$
$359$	−29.5009	+	7.90474i	−1.55700	+	0.417196i	−0.625286	+	0.780395i	$0.715018\pi$
$360$	−1.07014	−	0.617844i	−0.0564012	−	0.0325633i
$361$		−	4.33871i		−	0.228353i
$362$	34.8006	+	9.32479i	1.82908	+	0.490100i
$363$	7.50371			0.393843
$364$	3.38143	+	1.75117i	0.177235	+	0.0917864i
$365$	3.38146			0.176994
$366$	−17.5970	−	4.71509i	−0.919807	−	0.246462i
$367$			5.02135i			0.262112i	0.991375	+	0.131056i	$0.0418368\pi$
$367$			5.02135i			0.262112i	−0.991375	+	0.131056i	$0.958163\pi$
$368$	19.7476	+	11.4013i	1.02942	+	0.594333i
$369$	−4.92590	+	1.31989i	−0.256432	+	0.0687107i
$370$	−0.0300841	+	0.112276i	−0.00156400	+	0.00583693i
$371$	−10.5918	−	33.0649i	−0.549900	−	1.71665i
$372$	−1.23201	−	1.23201i	−0.0638768	−	0.0638768i
$373$	5.86321			0.303586			0.151793	−	0.988412i	$-0.451495\pi$
$373$	5.86321			0.303586			0.151793	+	0.988412i	$0.451495\pi$
$374$	11.3464			0.586707
$375$	−3.43636	−	3.43636i	−0.177453	−	0.177453i
$376$	11.4597	−	19.8488i	0.590988	−	1.02362i
$377$	4.30946	−	15.9266i	0.221949	−	0.820260i
$378$	1.87564	−	3.64366i	0.0964726	−	0.187410i
$379$	−4.04123	−	15.0821i	−0.207584	−	0.774714i	−0.988646	−	0.150261i	$-0.951989\pi$
$379$	−4.04123	−	15.0821i	−0.207584	−	0.774714i	0.781062	−	0.624453i	$-0.214678\pi$
$380$	−0.380861	−	0.659670i	−0.0195377	−	0.0338404i
$381$	9.33200	−	16.1635i	0.478093	−	0.828081i
$382$	−28.5058	−	7.63811i	−1.45849	−	0.390800i
$383$	23.1330	+	23.1330i	1.18204	+	1.18204i	0.979215	+	0.202826i	$0.0650127\pi$
$383$	23.1330	+	23.1330i	1.18204	+	1.18204i	0.202826	+	0.979215i	$0.434987\pi$
$384$	13.0229	+	3.48947i	0.664572	+	0.178071i
$385$	−1.82529	−	1.65727i	−0.0930252	−	0.0844625i
$386$	2.65276	+	4.59472i	0.135022	+	0.233865i
$387$	5.06441	−	2.92394i	0.257438	−	0.148632i
$388$	−2.28487	+	2.28487i	−0.115997	+	0.115997i
$389$	−6.25191	+	3.60954i	−0.316984	+	0.183011i	−0.650048	−	0.759894i	$-0.725251\pi$
$389$	−6.25191	+	3.60954i	−0.316984	+	0.183011i	0.333063	+	0.942904i	$0.391918\pi$
$390$	0.713733	+	2.69010i	0.0361413	+	0.136218i
$391$		−	19.2566i		−	0.973847i
$392$	6.08532	+	16.2551i	0.307355	+	0.821008i
$393$	1.08572	−	1.88052i	0.0547674	−	0.0948599i
$394$		−	13.9473i		−	0.702654i
$395$	0.574631	−	2.14455i	0.0289128	−	0.107904i
$396$	−0.193185	−	0.720977i	−0.00970792	−	0.0362304i
$397$	16.1760	−	16.1760i	0.811849	−	0.811849i	−0.173062	−	0.984911i	$-0.555366\pi$
$397$	16.1760	−	16.1760i	0.811849	−	0.811849i	0.984911	+	0.173062i	$0.0553661\pi$
$398$	−24.3540	+	24.3540i	−1.22075	+	1.22075i
$399$	−8.51908	+	5.48218i	−0.426487	+	0.274452i
$400$	19.0898	+	11.0215i	0.954489	+	0.551075i
$401$	6.62242	−	24.7152i	0.330708	−	1.23422i	−0.577740	−	0.816221i	$-0.696065\pi$
$401$	6.62242	−	24.7152i	0.330708	−	1.23422i	0.908448	−	0.417998i	$-0.137268\pi$
$402$	−7.66151	−	13.2701i	−0.382121	−	0.661854i
$403$	0.0386479	−	15.7371i	0.00192519	−	0.783923i
$404$	−2.46778	−	1.42477i	−0.122776	−	0.0708850i
$405$	0.481371	−	0.128983i	0.0239195	−	0.00640921i
$406$	−15.7700	+	10.1483i	−0.782653	+	0.503652i
$407$	0.243841	−	0.140782i	0.0120868	−	0.00697830i
$408$	−2.51415	−	9.38293i	−0.124469	−	0.464524i
$409$	−2.26093	+	0.605814i	−0.111796	+	0.0299556i	−0.314283	−	0.949329i	$-0.601764\pi$
$409$	−2.26093	+	0.605814i	−0.111796	+	0.0299556i	0.202487	+	0.979285i	$0.435097\pi$
$410$	−3.80236	+	1.01884i	−0.187785	+	0.0503169i
$411$	−2.32692	−	8.68418i	−0.114779	−	0.428359i
$412$	−4.68766	+	2.70642i	−0.230944	+	0.133336i
$413$	0.486012	+	10.0741i	0.0239151	+	0.495714i
$414$	−7.35416	+	1.97054i	−0.361437	+	0.0968468i
$415$	−3.57453	−	2.06375i	−0.175467	−	0.101306i
$416$	−3.99665	−	6.96182i	−0.195952	−	0.341331i
$417$	−4.37470	−	7.57721i	−0.214230	−	0.371057i
$418$	−2.87024	+	10.7119i	−0.140388	+	0.523935i
$419$	11.7770	+	6.79945i	0.575344	+	0.332175i	0.759281	−	0.650763i	$-0.225551\pi$
$419$	11.7770	+	6.79945i	0.575344	+	0.332175i	−0.183937	+	0.982938i	$0.558884\pi$
$420$	0.240895	−	0.467968i	0.0117545	−	0.0228345i
$421$	17.9357	−	17.9357i	0.874134	−	0.874134i	−0.118786	−	0.992920i	$-0.537900\pi$
$421$	17.9357	−	17.9357i	0.874134	−	0.874134i	0.992920	+	0.118786i	$0.0379002\pi$
$422$	−2.65948	+	2.65948i	−0.129462	+	0.129462i
$423$	2.39236	+	8.92840i	0.116320	+	0.434113i
$424$	−8.42170	+	31.4302i	−0.408994	+	1.52639i
$425$		−	18.6151i		−	0.902965i
$426$	−1.45941	+	2.52776i	−0.0707084	+	0.122471i
$427$	−6.59615	+	30.4108i	−0.319210	+	1.47168i
$428$			5.72178i			0.276573i
$429$	3.38522	−	5.83026i	0.163440	−	0.281488i
$430$	3.90928	−	2.25702i	0.188522	−	0.108843i
$431$	6.24073	−	6.24073i	0.300605	−	0.300605i	−0.540645	−	0.841251i	$-0.681820\pi$
$431$	6.24073	−	6.24073i	0.300605	−	0.300605i	0.841251	+	0.540645i	$0.181820\pi$
$432$	−4.01751	+	2.31951i	−0.193293	+	0.111598i
$433$	10.8154	+	18.7328i	0.519753	+	0.900239i	0.999736	+	0.0229615i	$0.00730952\pi$
$433$	10.8154	+	18.7328i	0.519753	+	0.900239i	−0.479983	+	0.877278i	$0.659357\pi$
$434$	−12.0238	+	13.2428i	−0.577162	+	0.635673i
$435$	−2.20279	−	0.590237i	−0.105616	−	0.0282997i
$436$	2.41761	+	2.41761i	0.115782	+	0.115782i
$437$	18.1797	+	4.87124i	0.869654	+	0.233023i
$438$	5.25497	−	9.10188i	0.251092	−	0.434905i
$439$	16.1671	+	28.0022i	0.771612	+	1.33647i	0.936679	+	0.350188i	$0.113882\pi$
$439$	16.1671	+	28.0022i	0.771612	+	1.33647i	−0.165068	+	0.986282i	$0.552784\pi$
$440$	0.598011	+	2.23181i	0.0285090	+	0.106397i
$441$	−6.37095	−	2.90018i	−0.303378	−	0.138104i
$442$	−10.9859	+	18.9207i	−0.522548	+	0.899968i
$443$	0.185670	−	0.321591i	0.00882147	−	0.0152792i	−0.861581	−	0.507620i	$-0.830525\pi$
$443$	0.185670	−	0.321591i	0.00882147	−	0.0152792i	0.870402	+	0.492341i	$0.163859\pi$
$444$	0.0425043	+	0.0425043i	0.00201716	+	0.00201716i
$445$	6.16281			0.292145
$446$	1.01385			0.0480071
$447$	−10.5464	−	10.5464i	−0.498825	−	0.498825i
$448$	3.26933	−	15.0729i	0.154461	−	0.712126i
$449$	0.0242973	−	0.0906789i	0.00114666	−	0.00427940i	−0.965350	−	0.260958i	$-0.915962\pi$
$449$	0.0242973	−	0.0906789i	0.00114666	−	0.00427940i	0.966497	+	0.256679i	$0.0826282\pi$
$450$	−7.10918	+	1.90490i	−0.335130	+	0.0897978i
$451$	8.25801	+	4.76777i	0.388855	+	0.224505i
$452$			4.01527i			0.188862i
$453$	−5.62287	−	1.50664i	−0.264185	−	0.0707883i
$454$	2.87319			0.134846
$455$	4.53091	−	1.43914i	0.212412	−	0.0674681i
$456$	9.49422			0.444607
$457$	−25.9289	−	6.94763i	−1.21290	−	0.324997i	−0.405003	−	0.914315i	$-0.632730\pi$
$457$	−25.9289	−	6.94763i	−1.21290	−	0.324997i	−0.807901	+	0.589319i	$0.799396\pi$
$458$		−	23.4456i		−	1.09554i
$459$	3.39275	+	1.95881i	0.158360	+	0.0914293i
$460$	−0.944520	+	0.253083i	−0.0440385	+	0.0118001i
$461$	−8.04498	+	30.0243i	−0.374692	+	1.39837i	0.479102	+	0.877759i	$0.340962\pi$
$461$	−8.04498	+	30.0243i	−0.374692	+	1.39837i	−0.853794	+	0.520610i	$0.825704\pi$
$462$	−7.29748	+	2.33763i	−0.339509	+	0.108756i
$463$	−9.36086	−	9.36086i	−0.435036	−	0.435036i	0.455301	−	0.890337i	$-0.349531\pi$
$463$	−9.36086	−	9.36086i	−0.435036	−	0.435036i	−0.890337	+	0.455301i	$0.849531\pi$
$464$	21.2286			0.985511
$465$	−2.17516			−0.100871
$466$	−26.3125	−	26.3125i	−1.21890	−	1.21890i
$467$	4.36513	−	7.56063i	0.201994	−	0.349864i	−0.747177	−	0.664626i	$-0.768591\pi$
$467$	4.36513	−	7.56063i	0.201994	−	0.349864i	0.949171	+	0.314761i	$0.101924\pi$
$468$	1.38932	+	0.375926i	0.0642213	+	0.0173772i
$469$	−22.0099	+	14.1638i	−1.01632	+	0.654024i
$470$	1.84669	+	6.89194i	0.0851814	+	0.317901i
$471$	5.18091	+	8.97361i	0.238724	+	0.413482i
$472$	4.72612	−	8.18588i	0.217537	−	0.376786i
$473$	−10.5620	−	2.83007i	−0.485640	−	0.130127i
$474$	−4.87948	−	4.87948i	−0.224122	−	0.224122i
$475$	17.5741	+	4.70898i	0.806357	+	0.216063i
$476$	3.94033	−	1.26222i	0.180605	−	0.0578538i
$477$	−6.56146	−	11.3648i	−0.300428	−	0.520357i
$478$	−3.85621	+	2.22638i	−0.176379	+	0.101832i
$479$	−10.6673	+	10.6673i	−0.487401	+	0.487401i	−0.907485	−	0.420084i	$-0.862000\pi$
$479$	−10.6673	+	10.6673i	−0.487401	+	0.487401i	0.420084	+	0.907485i	$0.362000\pi$
$480$	−0.960889	+	0.554770i	−0.0438584	+	0.0253217i
$481$	−0.00133335	+	0.542930i	−6.07954e−5	+	0.0247555i
$482$			34.6496i			1.57824i
$483$	3.96732	+	12.3850i	0.180520	+	0.563535i
$484$	1.49768	−	2.59406i	0.0680766	−	0.117912i
$485$			4.03402i			0.183175i
$486$	0.400893	−	1.49615i	0.0181849	−	0.0678668i
$487$	−1.48935	−	5.55834i	−0.0674890	−	0.251872i	0.923936	−	0.382546i	$-0.124953\pi$
$487$	−1.48935	−	5.55834i	−0.0674890	−	0.251872i	−0.991425	+	0.130674i	$0.958286\pi$
$488$	20.6215	−	20.6215i	0.933491	−	0.933491i
$489$	−6.45941	+	6.45941i	−0.292105	+	0.292105i
$490$	−4.91781	−	2.23868i	−0.222164	−	0.101133i
$491$	9.09449	+	5.25071i	0.410428	+	0.236961i	0.690974	−	0.722880i	$-0.257182\pi$
$491$	9.09449	+	5.25071i	0.410428	+	0.236961i	−0.280545	+	0.959841i	$0.590515\pi$
$492$	−0.526880	+	1.96634i	−0.0237536	+	0.0886496i
$493$	−8.96367	−	15.5255i	−0.403703	−	0.699234i
$494$	−15.0836	−	15.1579i	−0.678644	−	0.681985i
$495$	−0.806994	−	0.465918i	−0.0362717	−	0.0209415i
$496$	19.5581	−	5.24057i	0.878183	−	0.235308i
$497$	4.43282	+	2.28188i	0.198839	+	0.102356i
$498$	−11.1100	+	6.41436i	−0.497851	+	0.287435i
$499$	7.26921	+	27.1291i	0.325414	+	1.21446i	0.913895	+	0.405952i	$0.133060\pi$
$499$	7.26921	+	27.1291i	0.325414	+	1.21446i	−0.588480	+	0.808512i	$0.700274\pi$
$500$	−1.87384	+	0.502093i	−0.0838005	+	0.0224543i
$501$	4.36602	−	1.16987i	0.195060	−	0.0522661i
$502$	−8.19647	−	30.5897i	−0.365827	−	1.36528i
$503$	−6.05090	+	3.49349i	−0.269796	+	0.155767i	−0.628795	−	0.777571i	$-0.716452\pi$
$503$	−6.05090	+	3.49349i	−0.269796	+	0.155767i	0.358999	+	0.933338i	$0.383118\pi$
$504$	3.55010	+	5.51670i	0.158134	+	0.245733i
$505$	−3.43622	+	0.920733i	−0.152910	+	0.0409721i
$506$	12.3289	+	7.11808i	0.548085	+	0.316437i
$507$	6.44462	+	11.2901i	0.286216	+	0.501412i
$508$	−3.72519	−	6.45222i	−0.165279	−	0.286271i
$509$	−7.37216	+	27.5133i	−0.326765	+	1.21950i	0.585760	+	0.810484i	$0.300796\pi$
$509$	−7.37216	+	27.5133i	−0.326765	+	1.21950i	−0.912525	+	0.409020i	$0.865871\pi$
$510$	2.61891	+	1.51203i	0.115967	+	0.0669537i
$511$	−15.9615	−	8.21649i	−0.706097	−	0.363476i
$512$	−8.96398	+	8.96398i	−0.396156	+	0.396156i
$513$	−2.70752	+	2.70752i	−0.119540	+	0.119540i
$514$	1.91166	+	7.13442i	0.0843198	+	0.314686i
$515$	−1.74898	+	6.52727i	−0.0770691	+	0.287626i
$516$		−	2.33438i		−	0.102765i
$517$	8.64178	−	14.9680i	0.380065	−	0.658292i
$518$	0.414821	−	0.456874i	0.0182262	−	0.0200739i
$519$		−	16.4696i		−	0.722936i
$520$	−4.30068	−	1.16369i	−0.188597	−	0.0510313i
$521$	−19.6339	+	11.3356i	−0.860176	+	0.496623i	−0.864071	−	0.503370i	$-0.832093\pi$
$521$	−19.6339	+	11.3356i	−0.860176	+	0.496623i	0.00389533	+	0.999992i	$0.498760\pi$
$522$	−5.01200	+	5.01200i	−0.219369	+	0.219369i
$523$	6.45318	−	3.72574i	0.282178	−	0.162915i	−0.352231	−	0.935913i	$-0.614577\pi$
$523$	6.45318	−	3.72574i	0.282178	−	0.162915i	0.634409	+	0.772998i	$0.281244\pi$
$524$	−0.433403	−	0.750676i	−0.0189333	−	0.0327934i
$525$	3.83517	+	11.9724i	0.167380	+	0.522519i
$526$	45.3178	+	12.1429i	1.97595	+	0.529454i
$527$	−12.0910	−	12.0910i	−0.526692	−	0.526692i
$528$	8.37864	+	2.24505i	0.364634	+	0.0977033i
$529$	0.580504	−	1.00546i	0.0252393	−	0.0437158i
$530$	−5.06487	−	8.77261i	−0.220004	−	0.381058i
$531$	0.986638	+	3.68218i	0.0428165	+	0.159793i
$532$	0.194870	+	4.03928i	0.00844870	+	0.175125i
$533$	−15.9462	+	9.15441i	−0.690707	+	0.396522i
$534$	9.57733	−	16.5884i	0.414452	−	0.717851i
$535$	5.05101	+	5.05101i	0.218374	+	0.218374i
$536$	24.5293			1.05951
$537$	5.18994			0.223962
$538$	−12.5502	−	12.5502i	−0.541078	−	0.541078i
$539$	4.58896	+	12.2580i	0.197660	+	0.527991i
$540$	0.0514880	−	0.192156i	0.00221569	−	0.00826907i
$541$	−31.2751	+	8.38015i	−1.34462	+	0.360291i	−0.858147	−	0.513403i	$-0.828384\pi$
$541$	−31.2751	+	8.38015i	−1.34462	+	0.360291i	−0.486476	+	0.873694i	$0.661718\pi$
$542$	39.6732	+	22.9053i	1.70411	+	0.983869i
$543$		−	23.2601i		−	0.998185i
$544$	−8.42504	−	2.25748i	−0.361221	−	0.0967888i
$545$	4.26838			0.182837
$546$	3.16753	−	14.4323i	0.135558	−	0.617647i
$547$	6.51126			0.278401			0.139201	−	0.990264i	$-0.455547\pi$
$547$	6.51126			0.278401			0.139201	+	0.990264i	$0.455547\pi$
$548$	−3.46659	−	0.928871i	−0.148086	−	0.0396794i
$549$			11.7615i			0.501968i
$550$	11.9182	+	6.88097i	0.508193	+	0.293405i
$551$	16.9248	−	4.53499i	0.721022	−	0.193197i
$552$	3.15447	−	11.7727i	0.134263	−	0.501077i
$553$	−7.92340	+	8.72666i	−0.336937	+	0.371095i
$554$	−33.9571	−	33.9571i	−1.44270	−	1.44270i
$555$	0.0750429			0.00318539
$556$	−3.49263			−0.148120
$557$	−19.9940	−	19.9940i	−0.847173	−	0.847173i	0.142606	−	0.989780i	$-0.454452\pi$
$557$	−19.9940	−	19.9940i	−0.847173	−	0.847173i	−0.989780	+	0.142606i	$0.954452\pi$
$558$	−3.38032	+	5.85488i	−0.143100	+	0.247857i
$559$	14.9458	−	14.8726i	0.632139	−	0.629042i
$560$	3.31001	+	5.14362i	0.139874	+	0.217358i
$561$	−1.89593	−	7.07569i	−0.0800460	−	0.298736i
$562$	−20.3060	−	35.1710i	−0.856557	−	1.48360i
$563$	16.8095	−	29.1149i	0.708435	−	1.22705i	−0.257002	−	0.966411i	$-0.582735\pi$
$563$	16.8095	−	29.1149i	0.708435	−	1.22705i	0.965437	−	0.260635i	$-0.0839319\pi$
$564$	3.56408	+	0.954992i	0.150075	+	0.0402124i
$565$	3.54456	+	3.54456i	0.149121	+	0.149121i
$566$	4.65961	+	1.24854i	0.195858	+	0.0524800i
$567$	−2.58563	−	0.560827i	−0.108586	−	0.0235525i
$568$	−2.33624	−	4.04648i	−0.0980264	−	0.169787i
$569$	0.0609060	−	0.0351641i	0.00255331	−	0.00147416i	−0.498723	−	0.866762i	$-0.666197\pi$
$569$	0.0609060	−	0.0351641i	0.00255331	−	0.00147416i	0.501276	+	0.865287i	$0.332864\pi$
$570$	−2.08997	+	2.08997i	−0.0875390	+	0.0875390i
$571$	−13.7331	+	7.92880i	−0.574712	+	0.331810i	−0.759029	−	0.651057i	$-0.774326\pi$
$571$	−13.7331	+	7.92880i	−0.574712	+	0.331810i	0.184317	+	0.982867i	$0.440993\pi$
$572$	−1.33988	−	2.33396i	−0.0560233	−	0.0975878i
$573$			19.0528i			0.795941i
$574$	20.4239	+	4.42998i	0.852478	+	0.184904i
$575$	11.6781	−	20.2270i	0.487010	−	0.843526i
$576$		−	5.82948i		−	0.242895i
$577$	1.91254	−	7.13771i	0.0796202	−	0.297147i	−0.914621	−	0.404312i	$-0.867511\pi$
$577$	1.91254	−	7.13771i	0.0796202	−	0.297147i	0.994241	+	0.107166i	$0.0341775\pi$
$578$	−0.662399	−	2.47211i	−0.0275522	−	0.102826i
$579$	2.42204	−	2.42204i	0.100657	−	0.100657i
$580$	−0.643708	+	0.643708i	−0.0267285	+	0.0267285i
$581$	11.8582	+	18.4272i	0.491962	+	0.764487i
$582$	10.8584	+	6.26908i	0.450094	+	0.259862i
$583$	−6.35082	+	23.7016i	−0.263024	+	0.981620i
$584$	8.41224	+	14.5704i	0.348101	+	0.602929i
$585$	1.55830	−	0.894592i	0.0644280	−	0.0369868i
$586$	14.7755	+	8.53061i	0.610368	+	0.352396i
$587$	29.1856	−	7.82025i	1.20462	−	0.322776i	0.399970	−	0.916528i	$-0.369021\pi$
$587$	29.1856	−	7.82025i	1.20462	−	0.322776i	0.804648	+	0.593752i	$0.202354\pi$
$588$	−2.27420	+	1.62361i	−0.0937863	+	0.0669565i
$589$	14.4735	−	8.35626i	0.596368	−	0.344314i
$590$	0.761598	+	2.84232i	0.0313545	+	0.117017i
$591$	−8.69765	+	2.33053i	−0.357773	+	0.0958651i
$592$	−0.674751	+	0.180799i	−0.0277321	+	0.00743079i
$593$	−9.20475	−	34.3526i	−0.377994	−	1.41069i	−0.848921	−	0.528520i	$-0.822747\pi$
$593$	−9.20475	−	34.3526i	−0.377994	−	1.41069i	0.470927	−	0.882172i	$-0.343919\pi$
$594$	−2.50822	+	1.44812i	−0.102914	+	0.0594172i
$595$	2.36415	−	4.59265i	0.0969208	−	0.188280i
$596$	−5.75089	+	1.54095i	−0.235566	+	0.0631196i
$597$	19.2568	+	11.1179i	0.788127	+	0.455025i
$598$	−23.8071	+	13.6672i	−0.973543	+	0.558892i
$599$	−13.8227	−	23.9416i	−0.564779	−	0.978225i	−0.997070	−	0.0764915i	$-0.975628\pi$
$599$	−13.8227	−	23.9416i	−0.564779	−	0.978225i	0.432292	−	0.901734i	$-0.357705\pi$
$600$	3.04939	−	11.3805i	0.124491	−	0.464606i
$601$	−6.87190	−	3.96749i	−0.280311	−	0.161837i	0.353253	−	0.935528i	$-0.385075\pi$
$601$	−6.87190	−	3.96749i	−0.280311	−	0.161837i	−0.633564	+	0.773690i	$0.718409\pi$
$602$	−23.9372	+	1.15482i	−0.975609	+	0.0470671i
$603$	−6.99516	+	6.99516i	−0.284865	+	0.284865i
$604$	−1.64313	+	1.64313i	−0.0668582	+	0.0668582i
$605$	−0.967851	−	3.61207i	−0.0393487	−	0.146852i
$606$	−2.86173	+	10.6801i	−0.116250	+	0.433851i
$607$		−	18.5507i		−	0.752950i	−0.926427	−	0.376475i	$-0.877136\pi$
$607$		−	18.5507i		−	0.752950i	0.926427	−	0.376475i	$-0.122864\pi$
$608$	4.26248	−	7.38284i	0.172867	−	0.299414i
$609$	8.96367	+	8.13859i	0.363226	+	0.329792i
$610$			9.07883i			0.367591i
$611$	16.5928	+	28.9032i	0.671271	+	1.16930i
$612$	1.35433	−	0.781926i	0.0547457	−	0.0316075i
$613$	0.559180	−	0.559180i	0.0225851	−	0.0225851i	−0.695724	−	0.718309i	$-0.744916\pi$
$613$	0.559180	−	0.559180i	0.0225851	−	0.0225851i	0.718309	+	0.695724i	$0.244916\pi$
$614$	4.16332	−	2.40369i	0.168018	−	0.0970051i
$615$	1.27071	+	2.20094i	0.0512401	+	0.0887504i
$616$	2.60019	−	11.9879i	0.104765	−	0.483006i
$617$	−19.9976	−	5.35834i	−0.805074	−	0.215719i	−0.167263	−	0.985912i	$-0.553493\pi$
$617$	−19.9976	−	5.35834i	−0.805074	−	0.215719i	−0.637810	+	0.770193i	$0.720160\pi$
$618$	14.8514	+	14.8514i	0.597412	+	0.597412i
$619$	4.26865	+	1.14378i	0.171572	+	0.0459724i	0.343582	−	0.939123i	$-0.388360\pi$
$619$	4.26865	+	1.14378i	0.171572	+	0.0459724i	−0.172011	+	0.985095i	$0.555026\pi$
$620$	−0.434146	+	0.751963i	−0.0174357	+	0.0301995i
$621$	2.45769	+	4.25685i	0.0986238	+	0.170821i
$622$	2.02297	+	7.54983i	0.0811138	+	0.302721i
$623$	−29.0903	−	14.9748i	−1.16548	−	0.599952i
$624$	−11.8562	+	11.7981i	−0.474629	+	0.472304i
$625$	10.6682	−	18.4778i	0.426727	−	0.739113i
$626$	23.5333	+	23.5333i	0.940580	+	0.940580i
$627$	7.15961			0.285927
$628$	4.13628			0.165056
$629$	0.417138	+	0.417138i	0.0166324	+	0.0166324i
$630$	−1.99588	−	0.432909i	−0.0795177	−	0.0172475i
$631$	−0.378204	+	1.41148i	−0.0150561	+	0.0561900i	−0.973045	−	0.230615i	$-0.925926\pi$
$631$	−0.378204	+	1.41148i	−0.0150561	+	0.0561900i	0.957989	+	0.286805i	$0.0925930\pi$
$632$	10.6702	−	2.85908i	0.424439	−	0.113728i
$633$	2.10286	+	1.21409i	0.0835813	+	0.0482557i
$634$		−	14.2359i		−	0.565379i
$635$	−8.98431	−	2.40734i	−0.356531	−	0.0955323i
$636$	−5.23847			−0.207719
$637$	−24.8842	−	4.21629i	−0.985948	−	0.167055i
$638$	13.2535			0.524710
$639$	1.82020	+	0.487720i	0.0720058	+	0.0192939i
$640$		−	6.71892i		−	0.265589i
$641$	31.8488	+	18.3879i	1.25795	+	0.726280i	0.972676	−	0.232165i	$-0.0745810\pi$
$641$	31.8488	+	18.3879i	1.25795	+	0.726280i	0.285277	+	0.958445i	$0.407914\pi$
$642$	21.4453	−	5.74626i	0.846380	−	0.226787i
$643$	−1.34555	+	5.02165i	−0.0530632	+	0.198035i	−0.987369	−	0.158438i	$-0.949354\pi$
$643$	−1.34555	+	5.02165i	−0.0530632	+	0.198035i	0.934306	+	0.356473i	$0.116021\pi$
$644$	5.07338	+	1.10042i	0.199919	+	0.0433628i
$645$	−2.06072	−	2.06072i	−0.0811408	−	0.0811408i
$646$	−23.2348			−0.914162
$647$	32.3694			1.27257			0.636286	−	0.771453i	$-0.280470\pi$
$647$	32.3694			1.27257			0.636286	+	0.771453i	$0.280470\pi$
$648$	1.75331	+	1.75331i	0.0688764	+	0.0688764i
$649$	3.56398	−	6.17299i	0.139898	−	0.242311i
$650$	−23.0140	+	13.2119i	−0.902684	+	0.518213i
$651$	10.2674	+	5.28535i	0.402412	+	0.207149i
$652$	0.943796	+	3.52229i	0.0369619	+	0.137944i
$653$	−13.5395	−	23.4511i	−0.529843	−	0.917714i	−0.999394	−	0.0348091i	$-0.988918\pi$
$653$	−13.5395	−	23.4511i	−0.529843	−	0.917714i	0.469551	−	0.882905i	$-0.344416\pi$
$654$	6.63329	−	11.4892i	0.259382	−	0.449263i
$655$	−1.04527	−	0.280079i	−0.0408420	−	0.0109436i
$656$	−16.7283	−	16.7283i	−0.653132	−	0.653132i
$657$	−6.55409	−	1.75616i	−0.255699	−	0.0685145i
$658$	8.02953	−	37.0192i	0.313024	−	1.44316i
$659$	7.42697	+	12.8639i	0.289314	+	0.501106i	0.973646	−	0.228064i	$-0.0732395\pi$
$659$	7.42697	+	12.8639i	0.289314	+	0.501106i	−0.684332	+	0.729170i	$0.739906\pi$
$660$	−0.322140	+	0.185987i	−0.0125393	+	0.00723955i
$661$	−5.56955	+	5.56955i	−0.216630	+	0.216630i	−0.807077	−	0.590446i	$-0.798952\pi$
$661$	−5.56955	+	5.56955i	−0.216630	+	0.216630i	0.590446	+	0.807077i	$0.298952\pi$
$662$	32.0995	−	18.5327i	1.24758	−	0.720293i
$663$	13.6348	+	3.68935i	0.529533	+	0.143283i
$664$		−	20.5364i		−	0.796968i
$665$	3.73778	+	3.39373i	0.144945	+	0.131603i
$666$	0.116621	−	0.201993i	0.00451896	−	0.00782706i
$667$		−	22.4932i		−	0.870941i
$668$	0.466995	−	1.74285i	0.0180686	−	0.0674329i
$669$	−0.169409	−	0.632245i	−0.00654975	−	0.0244440i
$670$	−5.39965	+	5.39965i	−0.208607	+	0.208607i
$671$	15.5507	−	15.5507i	0.600329	−	0.600329i
$672$	5.88370	−	0.283852i	0.226969	−	0.0109498i
$673$	−23.9408	−	13.8222i	−0.922850	−	0.532808i	−0.0383067	−	0.999266i	$-0.512196\pi$
$673$	−23.9408	−	13.8222i	−0.922850	−	0.532808i	−0.884543	+	0.466458i	$0.845530\pi$
$674$	10.6671	−	39.8103i	0.410883	−	1.53344i
$675$	2.37582	+	4.11505i	0.0914455	+	0.158388i
$676$	5.18934	+	0.0254885i	0.199590	+	0.000980327i
$677$	−1.80840	−	1.04408i	−0.0695025	−	0.0401273i	0.464846	−	0.885392i	$-0.346110\pi$
$677$	−1.80840	−	1.04408i	−0.0695025	−	0.0401273i	−0.534349	+	0.845264i	$0.679443\pi$
$678$	15.0493	−	4.03245i	0.577965	−	0.154865i
$679$	9.80212	−	19.0418i	0.376171	−	0.730757i
$680$	−4.19239	+	2.42048i	−0.160771	+	0.0928210i
$681$	−0.480097	−	1.79175i	−0.0183974	−	0.0686599i
$682$	12.2105	−	3.27180i	0.467566	−	0.125284i
$683$	5.91048	−	1.58371i	0.226158	−	0.0605989i	−0.143960	−	0.989583i	$-0.545984\pi$
$683$	5.91048	−	1.58371i	0.226158	−	0.0605989i	0.370119	+	0.928985i	$0.379317\pi$
$684$	0.395600	+	1.47640i	0.0151261	+	0.0564515i
$685$	−3.88018	+	2.24022i	−0.148254	+	0.0855945i
$686$	17.7739	+	22.5169i	0.678610	+	0.859698i
$687$	−14.6209	+	3.91765i	−0.557821	+	0.149468i
$688$	23.4939	+	13.5642i	0.895697	+	0.517131i
$689$	−33.3747	−	33.5391i	−1.27148	−	1.27774i
$690$	1.89712	+	3.28591i	0.0722222	+	0.125093i
$691$	−11.5152	+	42.9755i	−0.438060	+	1.63486i	0.295575	+	0.955320i	$0.404489\pi$
$691$	−11.5152	+	42.9755i	−0.438060	+	1.63486i	−0.733635	+	0.679544i	$0.762178\pi$
$692$	−5.69362	−	3.28721i	−0.216439	−	0.124961i
$693$	2.67714	+	4.16016i	0.101696	+	0.158031i
$694$	22.4691	−	22.4691i	0.852916	−	0.852916i
$695$	−3.08319	+	3.08319i	−0.116952	+	0.116952i
$696$	−2.93673	−	10.9600i	−0.111316	−	0.415438i
$697$	−5.17082	+	19.2978i	−0.195859	+	0.730954i
$698$			13.3617i			0.505749i
$699$	−12.0120	+	20.8054i	−0.454335	+	0.786931i
$700$	4.90438	+	1.06377i	0.185368	+	0.0402066i
$701$			44.7626i			1.69066i	0.534245	+	0.845329i	$0.320596\pi$
$701$			44.7626i			1.69066i	−0.534245	+	0.845329i	$0.679404\pi$
$702$	0.0137152	−	5.58473i	0.000517646	−	0.210782i
$703$	−0.499333	+	0.288290i	−0.0188327	+	0.0108731i
$704$	−7.70758	+	7.70758i	−0.290490	+	0.290490i
$705$	3.98930	−	2.30322i	0.150246	−	0.0867443i
$706$	1.05921	+	1.83461i	0.0398640	+	0.0690465i
$707$	18.4573	+	4.00341i	0.694157	+	0.150564i
$708$	1.46987	+	0.393851i	0.0552412	+	0.0148018i
$709$	13.0926	+	13.0926i	0.491703	+	0.491703i	0.908842	−	0.417140i	$-0.136967\pi$
$709$	13.0926	+	13.0926i	0.491703	+	0.491703i	−0.417140	+	0.908842i	$0.636967\pi$
$710$	1.40503	+	0.376477i	0.0527299	+	0.0141289i
$711$	−2.22755	+	3.85822i	−0.0835395	+	0.144695i
$712$	15.3315	+	26.5550i	0.574574	+	0.995191i
$713$	−5.55277	−	20.7232i	−0.207953	−	0.776090i
$714$	−8.68802	−	13.5008i	−0.325141	−	0.505255i
$715$	−3.24316	−	0.877543i	−0.121287	−	0.0328182i
$716$	1.03587	−	1.79418i	0.0387123	−	0.0670517i
$717$	2.03275	+	2.03275i	0.0759143	+	0.0759143i
$718$	47.3068			1.76547
$719$	−37.3979			−1.39471			−0.697354	−	0.716727i	$-0.745639\pi$
$719$	−37.3979			−1.39471			−0.697354	+	0.716727i	$0.745639\pi$
$720$	1.63474	+	1.63474i	0.0609230	+	0.0609230i
$721$	24.1161	−	26.5609i	0.898129	−	0.989180i
$722$	−1.73936	+	6.49136i	−0.0647321	+	0.241584i
$723$	21.6078	−	5.78978i	0.803601	−	0.215324i
$724$	−8.04110	−	4.64253i	−0.298845	−	0.172538i
$725$		−	21.7439i		−	0.807550i
$726$	−11.2267	−	3.00818i	−0.416662	−	0.111644i
$727$	−27.5337			−1.02117			−0.510584	−	0.859828i	$-0.670571\pi$
$727$	−27.5337			−1.02117			−0.510584	+	0.859828i	$0.670571\pi$
$728$	17.4729	+	15.9431i	0.647589	+	0.590889i
$729$	−1.00000			−0.0370370
$730$	−5.05918	−	1.35560i	−0.187249	−	0.0501732i
$731$		−	22.9097i		−	0.847346i
$732$	4.06599	+	2.34750i	0.150283	+	0.0867661i
$733$	−9.16124	+	2.45475i	−0.338378	+	0.0906681i	−0.424007	−	0.905659i	$-0.639377\pi$
$733$	−9.16124	+	2.45475i	−0.338378	+	0.0906681i	0.0856288	+	0.996327i	$0.472710\pi$
$734$	2.01302	−	7.51270i	0.0743020	−	0.277299i
$735$	−0.574318	+	3.44086i	−0.0211841	+	0.126918i
$736$	−7.73836	−	7.73836i	−0.285240	−	0.285240i
$737$	18.4976			0.681369
$738$	7.89902			0.290767
$739$	28.8936	+	28.8936i	1.06287	+	1.06287i	0.997886	+	0.0649823i	$0.0206991\pi$
$739$	28.8936	+	28.8936i	1.06287	+	1.06287i	0.0649823	+	0.997886i	$0.479301\pi$
$740$	0.0149780	−	0.0259426i	0.000550602	−	0.000953670i
$741$	−6.93218	+	11.9391i	−0.254660	+	0.438593i
$742$	2.59148	+	53.7163i	0.0951362	+	1.97199i
$743$	−12.0328	−	44.9072i	−0.441442	−	1.64748i	−0.725163	−	0.688577i	$-0.758236\pi$
$743$	−12.0328	−	44.9072i	−0.441442	−	1.64748i	0.283721	−	0.958907i	$-0.408431\pi$
$744$	−5.41126	−	9.37258i	−0.198387	−	0.343616i
$745$	−3.71641	+	6.43701i	−0.136159	+	0.235834i
$746$	−8.77226	−	2.35052i	−0.321175	−	0.0860586i
$747$	5.85648	+	5.85648i	0.214277	+	0.214277i
$748$	−2.82451	−	0.756824i	−0.103274	−	0.0276722i
$749$	−11.5690	−	36.1156i	−0.422724	−	1.31964i
$750$	3.76371	+	6.51893i	0.137431	+	0.238038i
$751$	−5.61614	+	3.24248i	−0.204936	+	0.118320i	−0.598956	−	0.800782i	$-0.704417\pi$
$751$	−5.61614	+	3.24248i	−0.204936	+	0.118320i	0.394020	+	0.919102i	$0.371084\pi$
$752$	−30.3208	+	30.3208i	−1.10569	+	1.10569i
$753$	−17.7064	+	10.2228i	−0.645256	+	0.372539i
$754$	−12.8325	+	22.1009i	−0.467330	+	0.804869i
$755$			2.90102i			0.105579i
$756$	−0.709952	+	0.781926i	−0.0258207	+	0.0284384i
$757$	−24.5681	+	42.5532i	−0.892943	+	1.54662i	−0.0566137	+	0.998396i	$0.518030\pi$
$757$	−24.5681	+	42.5532i	−0.892943	+	1.54662i	−0.836330	+	0.548227i	$0.815303\pi$
$758$			24.1852i			0.878444i
$759$	2.37880	−	8.87779i	0.0863448	−	0.322243i
$760$	−1.22459	−	4.57024i	−0.0444206	−	0.165780i
$761$	−26.7729	+	26.7729i	−0.970518	+	0.970518i	−0.999578	−	0.0290600i	$-0.990749\pi$
$761$	−26.7729	+	26.7729i	−0.970518	+	0.970518i	0.0290600	+	0.999578i	$0.490749\pi$
$762$	−20.4419	+	20.4419i	−0.740532	+	0.740532i
$763$	−20.1481	−	10.3716i	−0.729408	−	0.375476i
$764$	6.58662	+	3.80279i	0.238296	+	0.137580i
$765$	0.505305	−	1.88582i	0.0182693	−	0.0681821i
$766$	−25.3366	−	43.8843i	−0.915450	−	1.58561i
$767$	6.84307	+	11.9201i	0.247089	+	0.430408i
$768$	−7.98836	−	4.61208i	−0.288255	−	0.166424i
$769$	−28.1795	+	7.55069i	−1.01618	+	0.272285i	−0.728210	−	0.685355i	$-0.759647\pi$
$769$	−28.1795	+	7.55069i	−1.01618	+	0.272285i	−0.287971	+	0.957639i	$0.592981\pi$
$770$	2.06652	+	3.21128i	0.0744721	+	0.115726i
$771$	4.12966	−	2.38426i	0.148726	−	0.0858670i
$772$	−0.353889	−	1.32073i	−0.0127367	−	0.0475342i
$773$	−26.2056	+	7.02178i	−0.942551	+	0.252556i	−0.697198	−	0.716878i	$-0.745570\pi$
$773$	−26.2056	+	7.02178i	−0.942551	+	0.252556i	−0.245352	+	0.969434i	$0.578904\pi$
$774$	−8.74931	+	2.34437i	−0.314487	+	0.0842667i
$775$	−5.36779	−	20.0329i	−0.192817	−	0.719602i
$776$	−17.3822	+	10.0356i	−0.623986	+	0.360258i
$777$	−0.354225	−	0.182344i	−0.0127078	−	0.00654155i
$778$	10.8008	−	2.89408i	0.387229	−	0.103758i
$779$	−16.9106	−	9.76332i	−0.605884	−	0.349807i
$780$	0.00176149	−	0.717266i	6.30714e−5	−	0.0256822i
$781$	−1.76176	−	3.05146i	−0.0630409	−	0.109190i
$782$	−7.71982	+	28.8108i	−0.276060	+	1.03027i
$783$	3.96301	+	2.28804i	0.141626	+	0.0817680i
$784$	−3.12598	−	32.3223i	−0.111642	−	1.15437i
$785$	3.65138	−	3.65138i	0.130323	−	0.130323i
$786$	−2.37829	+	2.37829i	−0.0848308	+	0.0848308i
$787$	9.68235	+	36.1350i	0.345138	+	1.28807i	0.892451	+	0.451145i	$0.148984\pi$
$787$	9.68235	+	36.1350i	0.345138	+	1.28807i	−0.547312	+	0.836929i	$0.684349\pi$
$788$	−0.930311	+	3.47197i	−0.0331410	+	0.123684i
$789$		−	30.2896i		−	1.07834i
$790$	−1.71947	+	2.97821i	−0.0611760	+	0.105960i
$791$	−8.11860	−	25.3442i	−0.288664	−	0.901135i
$792$		−	4.63635i		−	0.164746i
$793$	10.8750	+	40.9885i	0.386183	+	1.45554i
$794$	−30.6865	+	17.7169i	−1.08902	+	0.628749i
$795$	−4.62436	+	4.62436i	−0.164009	+	0.164009i
$796$	7.68701	−	4.43810i	0.272459	−	0.157304i
$797$	−25.2215	−	43.6849i	−0.893391	−	1.54740i	−0.835783	−	0.549060i	$-0.814986\pi$
$797$	−25.2215	−	43.6849i	−0.893391	−	1.54740i	−0.0576081	−	0.998339i	$-0.518347\pi$
$798$	14.9436	−	4.78694i	0.528998	−	0.169456i
$799$	34.9780	+	9.37233i	1.23743	+	0.331569i
$800$	−7.48059	−	7.48059i	−0.264479	−	0.264479i
$801$	−11.9450	−	3.20066i	−0.422056	−	0.113090i
$802$	−19.8163	+	34.3228i	−0.699738	+	1.21198i
$803$	6.34369	+	10.9876i	0.223864	+	0.387744i
$804$	1.02207	+	3.81443i	0.0360458	+	0.134525i
$805$	5.45005	−	3.50720i	0.192089	−	0.123613i
$806$	−6.36673	+	23.5297i	−0.224258	+	0.828797i
$807$	−5.72934	+	9.92350i	−0.201682	+	0.349324i
$808$	−12.5158	−	12.5158i	−0.440305	−	0.440305i
$809$	−29.7053			−1.04438			−0.522192	−	0.852828i	$-0.674886\pi$
$809$	−29.7053			−1.04438			−0.522192	+	0.852828i	$0.674886\pi$
$810$	−0.771912			−0.0271222
$811$	34.9826	+	34.9826i	1.22840	+	1.22840i	0.964567	+	0.263837i	$0.0849882\pi$
$811$	34.9826	+	34.9826i	1.22840	+	1.22840i	0.263837	+	0.964567i	$0.415012\pi$
$812$	4.60262	−	1.47438i	0.161520	−	0.0517405i
$813$	7.65475	−	28.5679i	0.268464	−	1.00192i
$814$	−0.421262	+	0.112877i	−0.0147652	+	0.00395633i
$815$	3.94252	+	2.27622i	0.138101	+	0.0797324i
$816$			18.1739i			0.636213i
$817$	21.6286	+	5.79536i	0.756688	+	0.202754i
$818$	3.62556			0.126765
$819$	−9.52941	+	0.436280i	−0.332985	+	0.0152449i
$820$	1.01450			0.0354278
$821$	23.8258	+	6.38412i	0.831528	+	0.222807i	0.649380	−	0.760464i	$-0.275028\pi$
$821$	23.8258	+	6.38412i	0.831528	+	0.222807i	0.182148	+	0.983271i	$0.441695\pi$
$822$			13.9257i			0.485715i
$823$	18.4697	+	10.6635i	0.643813	+	0.371706i	0.786082	−	0.618122i	$-0.212106\pi$
$823$	18.4697	+	10.6635i	0.643813	+	0.371706i	−0.142269	+	0.989828i	$0.545440\pi$
$824$	−32.4764	+	8.70204i	−1.13137	+	0.303150i
$825$	2.29955	−	8.58205i	0.0800602	−	0.298789i
$826$	3.31148	−	15.2672i	0.115221	−	0.531214i
$827$	−32.1618	−	32.1618i	−1.11837	−	1.11837i	−0.991980	−	0.126394i	$-0.959660\pi$
$827$	−32.1618	−	32.1618i	−1.11837	−	1.11837i	−0.126394	−	0.991980i	$-0.540340\pi$
$828$	1.96215			0.0681893
$829$	3.83801			0.133300			0.0666498	−	0.997776i	$-0.478769\pi$
$829$	3.83801			0.133300			0.0666498	+	0.997776i	$0.478769\pi$
$830$	4.52069	+	4.52069i	0.156915	+	0.156915i
$831$	−15.5019	+	26.8500i	−0.537754	+	0.931416i
$832$	−5.39011	−	20.3156i	−0.186868	−	0.704316i
$833$	−22.3190	+	15.9342i	−0.773309	+	0.552086i
$834$	3.50757	+	13.0904i	0.121457	+	0.453285i
$835$	−1.12629	−	1.95078i	−0.0389767	−	0.0675096i
$836$	1.42900	−	2.47511i	0.0494232	−	0.0856034i
$837$	4.21599	+	1.12967i	0.145726	+	0.0390471i
$838$	−14.8943	−	14.8943i	−0.514516	−	0.514516i
$839$	−2.40437	−	0.644249i	−0.0830081	−	0.0222420i	0.217076	−	0.976155i	$-0.430348\pi$
$839$	−2.40437	−	0.644249i	−0.0830081	−	0.0222420i	−0.300084	+	0.953913i	$0.597015\pi$
$840$	2.19768	−	2.42048i	0.0758271	−	0.0835143i
$841$	4.02972	+	6.97968i	0.138956	+	0.240679i
$842$	−34.0249	+	19.6443i	−1.17257	+	0.676986i
$843$	−18.5399	+	18.5399i	−0.638549	+	0.638549i
$844$	0.839431	−	0.484646i	0.0288944	−	0.0166822i
$845$	4.60349	−	4.55849i	0.158365	−	0.156817i
$846$		−	14.3173i		−	0.492239i
$847$	−4.20828	+	19.4018i	−0.144598	+	0.666654i
$848$	30.4387	−	52.7214i	1.04527	−	1.81046i
$849$		−	3.11440i		−	0.106886i
$850$	−7.46266	+	27.8510i	−0.255967	+	0.955282i
$851$	0.191570	+	0.714948i	0.00656693	+	0.0245081i
$852$	0.531904	−	0.531904i	0.0182227	−	0.0182227i
$853$	32.8081	−	32.8081i	1.12333	−	1.12333i	0.132088	−	0.991238i	$-0.457832\pi$
$853$	32.8081	−	32.8081i	1.12333	−	1.12333i	0.991238	−	0.132088i	$-0.0421683\pi$
$854$	22.0603	−	42.8548i	0.754888	−	1.46646i
$855$	1.65254	+	0.954096i	0.0565158	+	0.0326294i
$856$	−9.19871	+	34.3300i	−0.314405	+	1.17338i
$857$	−2.87093	−	4.97259i	−0.0980690	−	0.169861i	0.812816	−	0.582520i	$-0.197933\pi$
$857$	−2.87093	−	4.97259i	−0.0980690	−	0.169861i	−0.910885	+	0.412660i	$0.864600\pi$
$858$	−7.40212	+	7.36585i	−0.252704	+	0.251466i
$859$	24.6782	+	14.2480i	0.842010	+	0.486135i	0.857947	−	0.513738i	$-0.171740\pi$
$859$	24.6782	+	14.2480i	0.842010	+	0.486135i	−0.0159371	+	0.999873i	$0.505073\pi$
$860$	−1.12370	+	0.301096i	−0.0383180	+	0.0102673i
$861$	−0.650170	−	13.4768i	−0.0221577	−	0.459287i
$862$	−11.8389	+	6.83521i	−0.403236	+	0.232808i
$863$	−12.2968	−	45.8924i	−0.418589	−	1.56220i	−0.777536	−	0.628839i	$-0.783531\pi$
$863$	−12.2968	−	45.8924i	−0.418589	−	1.56220i	0.358946	−	0.933358i	$-0.383136\pi$
$864$	2.15055	−	0.576239i	0.0731633	−	0.0196041i
$865$	−7.92800	+	2.12430i	−0.269560	+	0.0722284i
$866$	−8.67160	−	32.3629i	−0.294673	−	1.09973i
$867$	−1.43094	+	0.826155i	−0.0485974	+	0.0280577i
$868$	3.87647	−	2.49458i	0.131576	−	0.0846715i
$869$	8.04644	−	2.15604i	0.272957	−	0.0731386i
$870$	3.05909	+	1.76617i	0.103713	+	0.0598787i
$871$	−17.9100	+	30.8459i	−0.606858	+	1.04517i
$872$	10.6187	+	18.3921i	0.359593	+	0.622834i
$873$	2.09507	−	7.81890i	0.0709073	−	0.264630i
$874$	−25.2468	−	14.5762i	−0.853985	−	0.493049i
$875$	10.8124	−	6.95795i	0.365524	−	0.235222i
$876$	−1.91526	+	1.91526i	−0.0647106	+	0.0647106i
$877$	−4.95687	+	4.95687i	−0.167381	+	0.167381i	−0.785827	−	0.618446i	$-0.787763\pi$
$877$	−4.95687	+	4.95687i	−0.167381	+	0.167381i	0.618446	+	0.785827i	$0.287763\pi$
$878$	−12.9625	−	48.3767i	−0.437463	−	1.63264i
$879$	2.85085	−	10.6395i	0.0961568	−	0.358862i
$880$		−	4.32281i		−	0.145722i
$881$	−7.51305	+	13.0130i	−0.253121	+	0.438419i	−0.964383	−	0.264508i	$-0.914790\pi$
$881$	−7.51305	+	13.0130i	−0.253121	+	0.438419i	0.711262	+	0.702927i	$0.248124\pi$
$882$	8.36924	+	6.89317i	0.281807	+	0.232105i
$883$			31.3175i			1.05392i	0.849890	+	0.526960i	$0.176668\pi$
$883$			31.3175i			1.05392i	−0.849890	+	0.526960i	$0.823332\pi$
$884$	3.99683	−	3.97725i	0.134428	−	0.133769i
$885$	1.64524	−	0.949878i	0.0553040	−	0.0319298i
$886$	−0.406714	+	0.406714i	−0.0136638	+	0.0136638i
$887$	−16.9729	+	9.79931i	−0.569894	+	0.329029i	−0.757107	−	0.653291i	$-0.773388\pi$
$887$	−16.9729	+	9.79931i	−0.569894	+	0.329029i	0.187213	+	0.982319i	$0.440055\pi$
$888$	0.186688	+	0.323353i	0.00626484	+	0.0108510i
$889$	36.5592	+	33.1940i	1.22616	+	1.11329i
$890$	−9.22050	−	2.47062i	−0.309072	−	0.0828155i
$891$	1.32217	+	1.32217i	0.0442945	+	0.0442945i
$892$	−0.252382	−	0.0676257i	−0.00845039	−	0.00226428i
$893$	−17.6964	+	30.6511i	−0.592189	+	1.02570i
$894$	11.5510	+	20.0069i	0.386323	+	0.669131i
$895$	−0.669413	−	2.49828i	−0.0223760	−	0.0835084i
$896$	−16.3261	+	31.7154i	−0.545416	+	1.05954i
$897$	12.5010	+	12.5626i	0.417397	+	0.419452i
$898$	−0.0727050	+	0.125929i	−0.00242620	+	0.00420230i
$899$	−14.1233	−	14.1233i	−0.471037	−	0.471037i
$900$	1.89678			0.0632261
$901$	−51.4105			−1.71273
$902$	−10.4439	−	10.4439i	−0.347743	−	0.347743i
$903$	4.71996	+	14.7345i	0.157070	+	0.490334i
$904$	−6.45521	+	24.0912i	−0.214697	+	0.801260i
$905$	−11.1967	+	3.00015i	−0.372192	+	0.0997284i
$906$	7.80866	+	4.50833i	0.259425	+	0.149779i
$907$			21.2974i			0.707170i	0.935402	+	0.353585i	$0.115037\pi$
$907$			21.2974i			0.707170i	−0.935402	+	0.353585i	$0.884963\pi$
$908$	−0.715238	−	0.191648i	−0.0237360	−	0.00636005i
$909$	7.13841			0.236766
$910$	−7.35587	+	0.336770i	−0.243845	+	0.0111638i
$911$	16.5757			0.549178			0.274589	−	0.961562i	$-0.411458\pi$
$911$	16.5757			0.549178			0.274589	+	0.961562i	$0.411458\pi$
$912$	−17.1576	−	4.59736i	−0.568145	−	0.152234i
$913$		−	15.4866i		−	0.512531i
$914$	36.0084	+	20.7894i	1.19105	+	0.687653i
$915$	5.66163	−	1.51703i	0.187168	−	0.0501515i
$916$	−1.56387	+	5.83642i	−0.0516716	+	0.192841i
$917$	4.25343	+	3.86192i	0.140461	+	0.127532i
$918$	−4.29080	−	4.29080i	−0.141618	−	0.141618i
$919$	53.6703			1.77042			0.885210	−	0.465192i	$-0.154015\pi$
$919$	53.6703			1.77042			0.885210	+	0.465192i	$0.154015\pi$
$920$	−6.07389			−0.200250
$921$	−2.19463	−	2.19463i	−0.0723156	−	0.0723156i
$922$	24.0730	−	41.6957i	0.792802	−	1.37317i
$923$	6.79430	+	0.0166857i	0.223637	+	0.000549216i
$924$	1.97252	−	0.0951619i	0.0648912	−	0.00313060i
$925$	0.185188	+	0.691132i	0.00608896	+	0.0227243i
$926$	10.2526	+	17.7580i	0.336920	+	0.583563i
$927$	6.77987	−	11.7431i	0.222680	−	0.385694i
$928$	−9.84112	−	2.63692i	−0.323051	−	0.0865612i
$929$	33.6552	+	33.6552i	1.10419	+	1.10419i	0.993899	+	0.110293i	$0.0351788\pi$
$929$	33.6552	+	33.6552i	1.10419	+	1.10419i	0.110293	+	0.993899i	$0.464821\pi$
$930$	3.25437	+	0.872006i	0.106715	+	0.0285942i
$931$	−9.39716	−	25.1017i	−0.307980	−	0.822676i
$932$	4.79500	+	8.30518i	0.157065	+	0.272045i
$933$	4.37011	−	2.52308i	0.143071	−	0.0826021i
$934$	−9.56190	+	9.56190i	−0.312875	+	0.312875i
$935$	−3.16149	+	1.82529i	−0.103392	+	0.0596933i
$936$	7.73139	+	4.48907i	0.252709	+	0.146730i
$937$		−	32.4762i		−	1.06095i	−0.847701	−	0.530475i	$-0.822014\pi$
$937$		−	32.4762i		−	1.06095i	0.847701	−	0.530475i	$-0.177986\pi$
$938$	38.6084	−	12.3676i	1.26061	−	0.403816i
$939$	10.7433	−	18.6079i	0.350593	−	0.607245i
$940$		−	1.83882i		−	0.0599758i
$941$	−2.07793	+	7.75495i	−0.0677387	+	0.252804i	−0.991489	−	0.130191i	$-0.958441\pi$
$941$	−2.07793	+	7.75495i	−0.0677387	+	0.252804i	0.923750	+	0.382996i	$0.125108\pi$
$942$	−4.15398	−	15.5029i	−0.135344	−	0.505111i
$943$	−17.7249	+	17.7249i	−0.577202	+	0.577202i
$944$	−12.5047	+	12.5047i	−0.406993	+	0.406993i
$945$	0.0635363	+	1.31698i	0.00206683	+	0.0428415i
$946$	14.6678	+	8.46844i	0.476890	+	0.275333i
$947$	−0.0658379	+	0.245710i	−0.00213944	+	0.00798452i	−0.966987	−	0.254825i	$-0.917982\pi$
$947$	−0.0658379	+	0.245710i	−0.00213944	+	0.00798452i	0.964848	+	0.262809i	$0.0846489\pi$
$948$	0.889202	+	1.54014i	0.0288799	+	0.0500215i
$949$	−24.4647	−	0.0600812i	−0.794156	−	0.00195032i
$950$	−24.4058	−	14.0907i	−0.791828	−	0.457162i
$951$	−8.87762	+	2.37875i	−0.287877	+	0.0771363i
$952$	25.6708	−	1.23845i	0.831994	−	0.0401385i
$953$	−47.1992	+	27.2505i	−1.52893	+	0.882729i	−0.529525	+	0.848295i	$0.677630\pi$
$953$	−47.1992	+	27.2505i	−1.52893	+	0.882729i	−0.999407	+	0.0344345i	$0.989037\pi$
$954$	5.26088	+	19.6339i	0.170327	+	0.635670i
$955$	9.17145	−	2.45748i	0.296781	−	0.0795222i
$956$	1.10845	−	0.297008i	0.0358498	−	0.00960593i
$957$	−2.21459	−	8.26497i	−0.0715876	−	0.267169i
$958$	20.2363	−	11.6834i	0.653805	−	0.377475i
$959$	23.7591	−	1.14623i	0.767220	−	0.0370136i
$960$	−2.80614	+	0.751903i	−0.0905678	+	0.0242676i
$961$	10.3484	+	5.97465i	0.333819	+	0.192731i
$962$	0.219652	−	0.811771i	0.00708185	−	0.0261725i
$963$	−7.16684	−	12.4133i	−0.230948	−	0.400014i
$964$	2.31119	−	8.62549i	0.0744385	−	0.277808i
$965$	−1.47830	−	0.853498i	−0.0475882	−	0.0274751i
$966$	−0.970677	−	20.1203i	−0.0312310	−	0.647359i
$967$	36.3550	−	36.3550i	1.16910	−	1.16910i	0.186676	−	0.982422i	$-0.440229\pi$
$967$	36.3550	−	36.3550i	1.16910	−	1.16910i	0.982422	−	0.186676i	$-0.0597715\pi$
$968$	13.1563	−	13.1563i	0.422860	−	0.422860i
$969$	3.88243	+	14.4894i	0.124722	+	0.465468i
$970$	1.61721	−	6.03550i	0.0519254	−	0.193788i
$971$			35.0003i			1.12321i	0.827404	+	0.561607i	$0.189817\pi$
$971$			35.0003i			1.12321i	−0.827404	+	0.561607i	$0.810183\pi$
$972$	−0.199592	+	0.345704i	−0.00640193	+	0.0110885i
$973$	22.0453	−	7.06186i	0.706740	−	0.226393i
$974$			8.91318i			0.285597i
$975$	12.0846	+	12.1441i	0.387016	+	0.388922i
$976$	−47.2519	+	27.2809i	−1.51249	+	0.873239i
$977$	26.3886	−	26.3886i	0.844248	−	0.844248i	−0.145160	−	0.989408i	$-0.546370\pi$
$977$	26.3886	−	26.3886i	0.844248	−	0.844248i	0.989408	+	0.145160i	$0.0463698\pi$
$978$	12.2538	−	7.07473i	0.391833	−	0.226225i
$979$	11.5616	+	20.0252i	0.369509	+	0.640008i
$980$	1.07489	+	0.885314i	0.0343361	+	0.0282803i
$981$	−8.27315	−	2.21678i	−0.264141	−	0.0707764i
$982$	−11.5018	−	11.5018i	−0.367036	−	0.367036i
$983$	35.2426	+	9.44322i	1.12406	+	0.301192i	0.772527	−	0.634982i	$-0.218993\pi$
$983$	35.2426	+	9.44322i	1.12406	+	0.301192i	0.351537	+	0.936174i	$0.385659\pi$
$984$	−6.32244	+	10.9508i	−0.201552	+	0.349098i
$985$	2.24370	+	3.88620i	0.0714901	+	0.123825i
$986$	7.18694	+	26.8220i	0.228879	+	0.854187i
$987$	−24.4272	+	1.17846i	−0.777527	+	0.0375108i
$988$	2.74378	+	4.77943i	0.0872913	+	0.152054i
$989$	14.3723	−	24.8935i	0.457012	−	0.791568i
$990$	1.02060	+	1.02060i	0.0324369	+	0.0324369i
$991$	−19.6643			−0.624658			−0.312329	−	0.949974i	$-0.601109\pi$
$991$	−19.6643			−0.624658			−0.312329	+	0.949974i	$0.601109\pi$
$992$	−9.71767			−0.308536
$993$	−16.9208	−	16.9208i	−0.536966	−	0.536966i
$994$	−5.71739	−	5.19112i	−0.181344	−	0.164652i
$995$	2.86804	−	10.7037i	0.0909230	−	0.339329i
$996$	3.19352	−	0.855701i	0.101191	−	0.0271139i
$997$	32.5153	+	18.7727i	1.02977	+	0.594538i	0.916919	−	0.399074i	$-0.130668\pi$
$997$	32.5153	+	18.7727i	1.02977	+	0.594538i	0.112852	+	0.993612i	$0.464002\pi$
$998$		−	43.5033i		−	1.37707i
$999$	−0.145451	−	0.0389735i	−0.00460187	−	0.00123307i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cg.b.19.3	yes	40
3.2	odd	2		819.2.gh.d.19.8		40
7.3	odd	6		273.2.bt.b.136.8	✓	40
13.11	odd	12		273.2.bt.b.271.8	yes	40
21.17	even	6		819.2.et.d.136.3		40
39.11	even	12		819.2.et.d.271.3		40
91.24	even	12	inner	273.2.cg.b.115.3	yes	40
273.206	odd	12		819.2.gh.d.388.8		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.b.136.8	✓	40	7.3	odd	6
273.2.bt.b.271.8	yes	40	13.11	odd	12
273.2.cg.b.19.3	yes	40	1.1	even	1	trivial
273.2.cg.b.115.3	yes	40	91.24	even	12	inner
819.2.et.d.136.3		40	21.17	even	6
819.2.et.d.271.3		40	39.11	even	12
819.2.gh.d.19.8		40	3.2	odd	2
819.2.gh.d.388.8		40	273.206	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.49615 - 0.400893i) q^{2} +1.00000i q^{3} +(0.345704 + 0.199592i) q^{4} +(0.481371 - 0.128983i) q^{5} +(0.400893 - 1.49615i) q^{6} +(-2.58563 - 0.560827i) q^{7} +(1.75331 + 1.75331i) q^{8} -1.00000 q^{9} +O(q^{10})\)	\(q+(-1.49615 - 0.400893i) q^{2} +1.00000i q^{3} +(0.345704 + 0.199592i) q^{4} +(0.481371 - 0.128983i) q^{5} +(0.400893 - 1.49615i) q^{6} +(-2.58563 - 0.560827i) q^{7} +(1.75331 + 1.75331i) q^{8} -1.00000 q^{9} -0.771912 q^{10} +(1.32217 + 1.32217i) q^{11} +(-0.199592 + 0.345704i) q^{12} +(-3.48498 + 0.924630i) q^{13} +(3.64366 + 1.87564i) q^{14} +(0.128983 + 0.481371i) q^{15} +(-2.31951 - 4.01751i) q^{16} +(-1.95881 + 3.39275i) q^{17} +(1.49615 + 0.400893i) q^{18} +(-2.70752 - 2.70752i) q^{19} +(0.192156 + 0.0514880i) q^{20} +(0.560827 - 2.58563i) q^{21} +(-1.44812 - 2.50822i) q^{22} +(-4.25685 + 2.45769i) q^{23} +(-1.75331 + 1.75331i) q^{24} +(-4.11505 + 2.37582i) q^{25} +(5.58473 + 0.0137152i) q^{26} -1.00000i q^{27} +(-0.781926 - 0.709952i) q^{28} +(-2.28804 + 3.96301i) q^{29} -0.771912i q^{30} +(-1.12967 + 4.21599i) q^{31} +(0.576239 + 2.15055i) q^{32} +(-1.32217 + 1.32217i) q^{33} +(4.29080 - 4.29080i) q^{34} +(-1.31698 + 0.0635363i) q^{35} +(-0.345704 - 0.199592i) q^{36} +(0.0389735 - 0.145451i) q^{37} +(2.96543 + 5.13628i) q^{38} +(-0.924630 - 3.48498i) q^{39} +(1.07014 + 0.617844i) q^{40} +(4.92590 - 1.31989i) q^{41} +(-1.87564 + 3.64366i) q^{42} +(-5.06441 + 2.92394i) q^{43} +(0.193185 + 0.720977i) q^{44} +(-0.481371 + 0.128983i) q^{45} +(7.35416 - 1.97054i) q^{46} +(-2.39236 - 8.92840i) q^{47} +(4.01751 - 2.31951i) q^{48} +(6.37095 + 2.90018i) q^{49} +(7.10918 - 1.90490i) q^{50} +(-3.39275 - 1.95881i) q^{51} +(-1.38932 - 0.375926i) q^{52} +(6.56146 + 11.3648i) q^{53} +(-0.400893 + 1.49615i) q^{54} +(0.806994 + 0.465918i) q^{55} +(-3.55010 - 5.51670i) q^{56} +(2.70752 - 2.70752i) q^{57} +(5.01200 - 5.01200i) q^{58} +(-0.986638 - 3.68218i) q^{59} +(-0.0514880 + 0.192156i) q^{60} -11.7615i q^{61} +(3.38032 - 5.85488i) q^{62} +(2.58563 + 0.560827i) q^{63} +5.82948i q^{64} +(-1.55830 + 0.894592i) q^{65} +(2.50822 - 1.44812i) q^{66} +(6.99516 - 6.99516i) q^{67} +(-1.35433 + 0.781926i) q^{68} +(-2.45769 - 4.25685i) q^{69} +(1.99588 + 0.432909i) q^{70} +(-1.82020 - 0.487720i) q^{71} +(-1.75331 - 1.75331i) q^{72} +(6.55409 + 1.75616i) q^{73} +(-0.116621 + 0.201993i) q^{74} +(-2.37582 - 4.11505i) q^{75} +(-0.395600 - 1.47640i) q^{76} +(-2.67714 - 4.16016i) q^{77} +(-0.0137152 + 5.58473i) q^{78} +(2.22755 - 3.85822i) q^{79} +(-1.63474 - 1.63474i) q^{80} +1.00000 q^{81} -7.89902 q^{82} +(-5.85648 - 5.85648i) q^{83} +(0.709952 - 0.781926i) q^{84} +(-0.505305 + 1.88582i) q^{85} +(8.74931 - 2.34437i) q^{86} +(-3.96301 - 2.28804i) q^{87} +4.63635i q^{88} +(11.9450 + 3.20066i) q^{89} +0.771912 q^{90} +(9.52941 - 0.436280i) q^{91} -1.96215 q^{92} +(-4.21599 - 1.12967i) q^{93} +14.3173i q^{94} +(-1.65254 - 0.954096i) q^{95} +(-2.15055 + 0.576239i) q^{96} +(-2.09507 + 7.81890i) q^{97} +(-8.36924 - 6.89317i) q^{98} +(-1.32217 - 1.32217i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 8 q^{7} - 40 q^{9}+O(q^{10}) \) 40 * q - 8 * q^7 - 40 * q^9	\( 40 q - 8 q^{7} - 40 q^{9} + 4 q^{11} - 24 q^{12} - 18 q^{14} + 32 q^{16} + 4 q^{17} + 14 q^{19} + 14 q^{20} + 2 q^{21} + 4 q^{22} + 12 q^{23} + 24 q^{25} - 32 q^{26} + 16 q^{28} + 8 q^{29} + 14 q^{31} - 26 q^{32} - 4 q^{33} - 24 q^{34} + 26 q^{35} + 36 q^{37} - 8 q^{38} + 18 q^{39} - 30 q^{40} - 2 q^{41} - 66 q^{43} - 32 q^{44} - 26 q^{46} - 4 q^{47} + 24 q^{48} - 14 q^{49} - 20 q^{50} + 2 q^{52} - 8 q^{53} - 42 q^{55} + 46 q^{56} - 14 q^{57} + 24 q^{58} + 14 q^{59} + 2 q^{60} + 24 q^{62} + 8 q^{63} + 28 q^{65} - 18 q^{66} - 44 q^{67} - 18 q^{68} + 4 q^{69} - 4 q^{70} - 6 q^{71} + 14 q^{73} - 20 q^{74} + 24 q^{75} - 64 q^{76} + 24 q^{77} + 8 q^{78} + 20 q^{80} + 40 q^{81} + 48 q^{82} - 12 q^{83} + 22 q^{84} + 2 q^{85} - 60 q^{86} + 18 q^{87} - 2 q^{89} - 14 q^{91} + 236 q^{92} - 8 q^{93} + 24 q^{95} + 16 q^{96} - 62 q^{97} - 88 q^{98} - 4 q^{99}+O(q^{100}) \) 40 * q - 8 * q^7 - 40 * q^9 + 4 * q^11 - 24 * q^12 - 18 * q^14 + 32 * q^16 + 4 * q^17 + 14 * q^19 + 14 * q^20 + 2 * q^21 + 4 * q^22 + 12 * q^23 + 24 * q^25 - 32 * q^26 + 16 * q^28 + 8 * q^29 + 14 * q^31 - 26 * q^32 - 4 * q^33 - 24 * q^34 + 26 * q^35 + 36 * q^37 - 8 * q^38 + 18 * q^39 - 30 * q^40 - 2 * q^41 - 66 * q^43 - 32 * q^44 - 26 * q^46 - 4 * q^47 + 24 * q^48 - 14 * q^49 - 20 * q^50 + 2 * q^52 - 8 * q^53 - 42 * q^55 + 46 * q^56 - 14 * q^57 + 24 * q^58 + 14 * q^59 + 2 * q^60 + 24 * q^62 + 8 * q^63 + 28 * q^65 - 18 * q^66 - 44 * q^67 - 18 * q^68 + 4 * q^69 - 4 * q^70 - 6 * q^71 + 14 * q^73 - 20 * q^74 + 24 * q^75 - 64 * q^76 + 24 * q^77 + 8 * q^78 + 20 * q^80 + 40 * q^81 + 48 * q^82 - 12 * q^83 + 22 * q^84 + 2 * q^85 - 60 * q^86 + 18 * q^87 - 2 * q^89 - 14 * q^91 + 236 * q^92 - 8 * q^93 + 24 * q^95 + 16 * q^96 - 62 * q^97 - 88 * q^98 - 4 * q^99

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