LMFDB - Embedded newform 273.2.cd.e.242.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(44,273)]

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([6, 4, 9]))

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

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

chi := DirichletCharacter("273.44");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cd (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:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			242.17
Character	$\chi$	$=$	273.242
Dual form			273.2.cd.e.44.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.623254 + 0.167000i) q^{2} +(0.313993 + 1.70335i) q^{3} +(-1.37149 - 0.791833i) q^{4} +(-2.98988 - 0.801137i) q^{5} +(-0.0887629 + 1.11406i) q^{6} +(-2.60516 - 0.461652i) q^{7} +(-1.63506 - 1.63506i) q^{8} +(-2.80282 + 1.06968i) q^{9} +O(q^{10})$	\(q+(0.623254 + 0.167000i) q^{2} +(0.313993 + 1.70335i) q^{3} +(-1.37149 - 0.791833i) q^{4} +(-2.98988 - 0.801137i) q^{5} +(-0.0887629 + 1.11406i) q^{6} +(-2.60516 - 0.461652i) q^{7} +(-1.63506 - 1.63506i) q^{8} +(-2.80282 + 1.06968i) q^{9} +(-1.72966 - 0.998622i) q^{10} +(1.79099 - 0.479894i) q^{11} +(0.918130 - 2.58477i) q^{12} +(-2.76022 + 2.31973i) q^{13} +(-1.54658 - 0.722789i) q^{14} +(0.425815 - 5.34437i) q^{15} +(0.837665 + 1.45088i) q^{16} +(1.98874 - 3.44460i) q^{17} +(-1.92550 + 0.198612i) q^{18} +(-1.93721 + 7.22976i) q^{19} +(3.46624 + 3.46624i) q^{20} +(-0.0316476 - 4.58247i) q^{21} +1.19638 q^{22} +(1.29472 + 2.24251i) q^{23} +(2.27168 - 3.29848i) q^{24} +(3.96745 + 2.29061i) q^{25} +(-2.10772 + 0.984824i) q^{26} +(-2.70211 - 4.43831i) q^{27} +(3.20742 + 2.69601i) q^{28} -8.80819i q^{29} +(1.15790 - 3.25979i) q^{30} +(-0.388653 + 0.104139i) q^{31} +(1.47673 + 5.51122i) q^{32} +(1.37979 + 2.90000i) q^{33} +(1.81474 - 1.81474i) q^{34} +(7.41929 + 3.46738i) q^{35} +(4.69106 + 0.752299i) q^{36} +(-8.52423 - 2.28406i) q^{37} +(-2.41474 + 4.18246i) q^{38} +(-4.81801 - 3.97325i) q^{39} +(3.57873 + 6.19854i) q^{40} +(-7.30296 + 7.30296i) q^{41} +(0.745549 - 2.86132i) q^{42} -2.15449i q^{43} +(-2.83633 - 0.759992i) q^{44} +(9.23705 - 0.952785i) q^{45} +(0.432436 + 1.61387i) q^{46} +(0.515167 - 1.92263i) q^{47} +(-2.20834 + 1.88240i) q^{48} +(6.57375 + 2.40536i) q^{49} +(2.09020 + 2.09020i) q^{50} +(6.49182 + 2.30595i) q^{51} +(5.62247 - 0.995867i) q^{52} +(-1.46449 - 0.845522i) q^{53} +(-0.942901 - 3.21745i) q^{54} -5.73931 q^{55} +(3.50477 + 5.01443i) q^{56} +(-12.9231 - 1.02965i) q^{57} +(1.47097 - 5.48974i) q^{58} +(-7.21924 + 1.93439i) q^{59} +(-4.81585 + 6.99261i) q^{60} +(0.418120 + 0.724204i) q^{61} -0.259621 q^{62} +(7.79562 - 1.49277i) q^{63} +0.330842i q^{64} +(10.1112 - 4.72442i) q^{65} +(0.375656 + 2.03786i) q^{66} +(-3.34274 + 0.895685i) q^{67} +(-5.45510 + 3.14950i) q^{68} +(-3.41326 + 2.90949i) q^{69} +(4.04504 + 3.40008i) q^{70} +(1.94434 - 1.94434i) q^{71} +(6.33176 + 2.83378i) q^{72} +(0.241870 + 0.902673i) q^{73} +(-4.93132 - 2.84710i) q^{74} +(-2.65596 + 7.47720i) q^{75} +(8.38163 - 8.38163i) q^{76} +(-4.88737 + 0.423389i) q^{77} +(-2.33931 - 3.28095i) q^{78} +(-0.833854 - 1.44428i) q^{79} +(-1.34217 - 5.00904i) q^{80} +(6.71156 - 5.99625i) q^{81} +(-5.77120 + 3.33200i) q^{82} +(10.2624 - 10.2624i) q^{83} +(-3.58514 + 6.30989i) q^{84} +(-8.70570 + 8.70570i) q^{85} +(0.359801 - 1.34279i) q^{86} +(15.0035 - 2.76571i) q^{87} +(-3.71303 - 2.14372i) q^{88} +(-0.330604 + 1.23383i) q^{89} +(5.91614 + 0.948764i) q^{90} +(8.26174 - 4.76902i) q^{91} -4.10079i q^{92} +(-0.299420 - 0.629314i) q^{93} +(0.642160 - 1.11225i) q^{94} +(11.5840 - 20.0642i) q^{95} +(-8.92387 + 4.24587i) q^{96} +(6.39435 + 6.39435i) q^{97} +(3.69542 + 2.59697i) q^{98} +(-4.50648 + 3.26085i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	0.623254	+	0.167000i	0.440707	+	0.118087i	0.472348	−	0.881412i	$-0.343407\pi$
$2$	0.623254	+	0.167000i	0.440707	+	0.118087i	−0.0316410	+	0.999499i	$0.510073\pi$
$3$	0.313993	+	1.70335i	0.181284	+	0.983431i
$3$	0.313993	+	1.70335i	0.181284	+	0.983431i
$4$	−1.37149	−	0.791833i	−0.685747	−	0.395916i
$5$	−2.98988	−	0.801137i	−1.33712	−	0.358279i	−0.481753	−	0.876307i	$-0.660000\pi$
$5$	−2.98988	−	0.801137i	−1.33712	−	0.358279i	−0.855364	+	0.518028i	$0.826666\pi$
$6$	−0.0887629	+	1.11406i	−0.0362373	+	0.454812i
$7$	−2.60516	−	0.461652i	−0.984659	−	0.174488i
$7$	−2.60516	−	0.461652i	−0.984659	−	0.174488i
$8$	−1.63506	−	1.63506i	−0.578081	−	0.578081i
$9$	−2.80282	+	1.06968i	−0.934272	+	0.356561i
$10$	−1.72966	−	0.998622i	−0.546968	−	0.315792i
$11$	1.79099	−	0.479894i	0.540004	−	0.144694i	0.0214999	−	0.999769i	$-0.493156\pi$
$11$	1.79099	−	0.479894i	0.540004	−	0.144694i	0.518504	+	0.855075i	$0.326489\pi$
$12$	0.918130	−	2.58477i	0.265041	−	0.746159i
$13$	−2.76022	+	2.31973i	−0.765548	+	0.643378i
$13$	−2.76022	+	2.31973i	−0.765548	+	0.643378i
$14$	−1.54658	−	0.722789i	−0.413341	−	0.193174i
$15$	0.425815	−	5.34437i	0.109945	−	1.37991i
$16$	0.837665	+	1.45088i	0.209416	+	0.362720i
$17$	1.98874	−	3.44460i	0.482341	−	0.835439i	−0.517454	−	0.855711i	$-0.673120\pi$
$17$	1.98874	−	3.44460i	0.482341	−	0.835439i	0.999794	+	0.0202725i	$0.00645338\pi$
$18$	−1.92550	+	0.198612i	−0.453845	+	0.0468133i
$19$	−1.93721	+	7.22976i	−0.444426	+	1.65862i	0.273022	+	0.962008i	$0.411977\pi$
$19$	−1.93721	+	7.22976i	−0.444426	+	1.65862i	−0.717448	+	0.696612i	$0.754690\pi$
$20$	3.46624	+	3.46624i	0.775075	+	0.775075i
$21$	−0.0316476	−	4.58247i	−0.00690607	−	0.999976i
$22$	1.19638			0.255070
$23$	1.29472	+	2.24251i	0.269967	+	0.467596i	0.968853	−	0.247637i	$-0.0796539\pi$
$23$	1.29472	+	2.24251i	0.269967	+	0.467596i	−0.698886	+	0.715233i	$0.746321\pi$
$24$	2.27168	−	3.29848i	0.463706	−	0.673299i
$25$	3.96745	+	2.29061i	0.793490	+	0.458122i
$26$	−2.10772	+	0.984824i	−0.413357	+	0.193140i
$27$	−2.70211	−	4.43831i	−0.520021	−	0.854153i
$28$	3.20742	+	2.69601i	0.606145	+	0.509498i
$29$		−	8.80819i		−	1.63564i	−0.575474	−	0.817820i	$-0.695182\pi$
$29$		−	8.80819i		−	1.63564i	0.575474	−	0.817820i	$-0.304818\pi$
$30$	1.15790	−	3.25979i	0.211403	−	0.595153i
$31$	−0.388653	+	0.104139i	−0.0698042	+	0.0187040i	−0.293552	−	0.955943i	$-0.594837\pi$
$31$	−0.388653	+	0.104139i	−0.0698042	+	0.0187040i	0.223748	+	0.974647i	$0.428171\pi$
$32$	1.47673	+	5.51122i	0.261051	+	0.974255i
$33$	1.37979	+	2.90000i	0.240190	+	0.504826i
$34$	1.81474	−	1.81474i	0.311225	−	0.311225i
$35$	7.41929	+	3.46738i	1.25409	+	0.586094i
$36$	4.69106	+	0.752299i	0.781843	+	0.125383i
$37$	−8.52423	−	2.28406i	−1.40138	−	0.375497i	−0.522537	−	0.852617i	$-0.675014\pi$
$37$	−8.52423	−	2.28406i	−1.40138	−	0.375497i	−0.878838	+	0.477119i	$0.841681\pi$
$38$	−2.41474	+	4.18246i	−0.391723	+	0.678484i
$39$	−4.81801	−	3.97325i	−0.771500	−	0.636230i
$40$	3.57873	+	6.19854i	0.565847	+	0.980075i
$41$	−7.30296	+	7.30296i	−1.14053	+	1.14053i	−0.152178	+	0.988353i	$0.548629\pi$
$41$	−7.30296	+	7.30296i	−1.14053	+	1.14053i	−0.988353	+	0.152178i	$0.951371\pi$
$42$	0.745549	−	2.86132i	0.115041	−	0.441512i
$43$		−	2.15449i		−	0.328557i	−0.986414	−	0.164278i	$-0.947470\pi$
$43$		−	2.15449i		−	0.328557i	0.986414	−	0.164278i	$-0.0525296\pi$
$44$	−2.83633	−	0.759992i	−0.427593	−	0.114573i
$45$	9.23705	−	0.952785i	1.37698	−	0.142033i
$46$	0.432436	+	1.61387i	0.0637592	+	0.237953i
$47$	0.515167	−	1.92263i	0.0751449	−	0.280445i	−0.918121	−	0.396300i	$-0.870294\pi$
$47$	0.515167	−	1.92263i	0.0751449	−	0.280445i	0.993266	+	0.115855i	$0.0369608\pi$
$48$	−2.20834	+	1.88240i	−0.318746	+	0.271702i
$49$	6.57375	+	2.40536i	0.939108	+	0.343623i
$50$	2.09020	+	2.09020i	0.295598	+	0.295598i
$51$	6.49182	+	2.30595i	0.909037	+	0.322897i
$52$	5.62247	−	0.995867i	0.779697	−	0.138102i
$53$	−1.46449	−	0.845522i	−0.201163	−	0.116141i	0.396035	−	0.918235i	$-0.370386\pi$
$53$	−1.46449	−	0.845522i	−0.201163	−	0.116141i	−0.597198	+	0.802094i	$0.703719\pi$
$54$	−0.942901	−	3.21745i	−0.128313	−	0.437839i
$55$	−5.73931			−0.773889
$56$	3.50477	+	5.01443i	0.468344	+	0.670081i
$57$	−12.9231	−	1.02965i	−1.71171	−	0.136381i
$58$	1.47097	−	5.48974i	0.193148	−	0.720838i
$59$	−7.21924	+	1.93439i	−0.939865	+	0.251836i	−0.696056	−	0.717987i	$-0.745064\pi$
$59$	−7.21924	+	1.93439i	−0.939865	+	0.251836i	−0.243809	+	0.969823i	$0.578397\pi$
$60$	−4.81585	+	6.99261i	−0.621724	+	0.902742i
$61$	0.418120	+	0.724204i	0.0535347	+	0.0927249i	0.891551	−	0.452921i	$-0.149618\pi$
$61$	0.418120	+	0.724204i	0.0535347	+	0.0927249i	−0.838016	+	0.545645i	$0.816285\pi$
$62$	−0.259621			−0.0329719
$63$	7.79562	−	1.49277i	0.982155	−	0.188071i
$64$			0.330842i			0.0413552i
$65$	10.1112	−	4.72442i	1.25414	−	0.585992i
$66$	0.375656	+	2.03786i	0.0462401	+	0.250843i
$67$	−3.34274	+	0.895685i	−0.408381	+	0.109425i	−0.457160	−	0.889384i	$-0.651133\pi$
$67$	−3.34274	+	0.895685i	−0.408381	+	0.109425i	0.0487796	+	0.998810i	$0.484467\pi$
$68$	−5.45510	+	3.14950i	−0.661528	+	0.381933i
$69$	−3.41326	+	2.90949i	−0.410908	+	0.350262i
$70$	4.04504	+	3.40008i	0.483475	+	0.406387i
$71$	1.94434	−	1.94434i	0.230750	−	0.230750i	−0.582255	−	0.813006i	$-0.697830\pi$
$71$	1.94434	−	1.94434i	0.230750	−	0.230750i	0.813006	+	0.582255i	$0.197830\pi$
$72$	6.33176	+	2.83378i	0.746206	+	0.333964i
$73$	0.241870	+	0.902673i	0.0283088	+	0.105650i	0.978635	−	0.205607i	$-0.0659168\pi$
$73$	0.241870	+	0.902673i	0.0283088	+	0.105650i	−0.950326	+	0.311257i	$0.899250\pi$
$74$	−4.93132	−	2.84710i	−0.573254	−	0.330968i
$75$	−2.65596	+	7.47720i	−0.306684	+	0.863393i
$76$	8.38163	−	8.38163i	0.961439	−	0.961439i
$77$	−4.88737	+	0.423389i	−0.556967	+	0.0482496i
$78$	−2.33931	−	3.28095i	−0.264875	−	0.371495i
$79$	−0.833854	−	1.44428i	−0.0938159	−	0.162494i	0.815298	−	0.579042i	$-0.196573\pi$
$79$	−0.833854	−	1.44428i	−0.0938159	−	0.162494i	−0.909114	+	0.416548i	$0.863240\pi$
$80$	−1.34217	−	5.00904i	−0.150059	−	0.560028i
$81$	6.71156	−	5.99625i	0.745729	−	0.666249i
$82$	−5.77120	+	3.33200i	−0.637322	+	0.367958i
$83$	10.2624	−	10.2624i	1.12645	−	1.12645i	0.135699	−	0.990750i	$-0.456672\pi$
$83$	10.2624	−	10.2624i	1.12645	−	1.12645i	0.990750	−	0.135699i	$-0.0433279\pi$
$84$	−3.58514	+	6.30989i	−0.391171	+	0.688465i
$85$	−8.70570	+	8.70570i	−0.944266	+	0.944266i
$86$	0.359801	−	1.34279i	0.0387983	−	0.144797i
$87$	15.0035	−	2.76571i	1.60854	−	0.296516i
$88$	−3.71303	−	2.14372i	−0.395810	−	0.228521i
$89$	−0.330604	+	1.23383i	−0.0350439	+	0.130786i	−0.981232	−	0.192832i	$-0.938233\pi$
$89$	−0.330604	+	1.23383i	−0.0350439	+	0.130786i	0.946188	+	0.323618i	$0.104899\pi$
$90$	5.91614	+	0.948764i	0.623616	+	0.100009i
$91$	8.26174	−	4.76902i	0.866066	−	0.499929i
$92$		−	4.10079i		−	0.427537i
$93$	−0.299420	−	0.629314i	−0.0310485	−	0.0652569i
$94$	0.642160	−	1.11225i	0.0662337	−	0.114720i
$95$	11.5840	−	20.0642i	1.18850	−	2.05854i
$96$	−8.92387	+	4.24587i	−0.910788	+	0.433342i
$97$	6.39435	+	6.39435i	0.649248	+	0.649248i	0.952811	−	0.303563i	$-0.0981764\pi$
$97$	6.39435	+	6.39435i	0.649248	+	0.649248i	−0.303563	+	0.952811i	$0.598176\pi$
$98$	3.69542	+	2.59697i	0.373294	+	0.262333i
$99$	−4.50648	+	3.26085i	−0.452919	+	0.327727i
$100$	−3.62756	−	6.28312i	−0.362756	−	0.628312i
$101$	−5.04057	+	8.73052i	−0.501555	+	0.868719i	0.498443	+	0.866922i	$0.333905\pi$
$101$	−5.04057	+	8.73052i	−0.501555	+	0.868719i	−0.999998	+	0.00179663i	$0.999428\pi$
$102$	3.66096	+	2.52132i	0.362489	+	0.249648i
$103$	12.9840	−	7.49631i	1.27935	−	0.738633i	0.302622	−	0.953111i	$-0.402138\pi$
$103$	12.9840	−	7.49631i	1.27935	−	0.738633i	0.976729	+	0.214477i	$0.0688048\pi$
$104$	8.30603	+	0.720227i	0.814473	+	0.0706241i
$105$	−3.57656	+	13.7264i	−0.349036	+	1.33956i
$106$	−0.771545	−	0.771545i	−0.0749390	−	0.0749390i
$107$	0.147616	−	0.0852260i	0.0142706	−	0.00823911i	−0.492848	−	0.870116i	$-0.664044\pi$
$107$	0.147616	−	0.0852260i	0.0142706	−	0.00823911i	0.507118	+	0.861876i	$0.330711\pi$
$108$	0.191531	+	8.22674i	0.0184300	+	0.791618i
$109$	−14.0633	+	3.76826i	−1.34702	+	0.360933i	−0.859035	−	0.511917i	$-0.828935\pi$
$109$	−14.0633	+	3.76826i	−1.34702	+	0.360933i	−0.487987	+	0.872851i	$0.662269\pi$
$110$	−3.57705	−	0.958467i	−0.341058	−	0.0913862i
$111$	1.21401	−	15.2369i	0.115229	−	1.44623i
$112$	−1.51245	−	4.16648i	−0.142913	−	0.393696i
$113$			1.78658i			0.168068i	0.996463	+	0.0840339i	$0.0267804\pi$
$113$			1.78658i			0.168068i	−0.996463	+	0.0840339i	$0.973220\pi$
$114$	−7.88241	−	2.79989i	−0.738255	−	0.262234i
$115$	−2.07449	−	7.74210i	−0.193447	−	0.721954i
$116$	−6.97462	+	12.0804i	−0.647577	+	1.12164i
$117$	5.25502	−	9.45435i	0.485827	−	0.874055i
$118$	−4.82246			−0.443943
$119$	−6.77121	+	8.05564i	−0.620715	+	0.738460i
$120$	−9.43460	+	8.04214i	−0.861257	+	0.734143i
$121$	−6.54893	+	3.78103i	−0.595357	+	0.343730i
$122$	0.139652	+	0.521189i	0.0126435	+	0.0471862i
$123$	−14.7326	−	10.1464i	−1.32839	−	0.914873i
$124$	0.615497	+	0.164922i	0.0552733	+	0.0148104i
$125$	0.916606	+	0.916606i	0.0819837	+	0.0819837i
$126$	5.10794	+	0.371496i	0.455051	+	0.0330955i
$127$		−	4.94560i		−	0.438851i	−0.975629	−	0.219425i	$-0.929582\pi$
$127$		−	4.94560i		−	0.438851i	0.975629	−	0.219425i	$-0.0704182\pi$
$128$	2.89820	−	10.8162i	0.256167	−	0.956030i
$129$	3.66986	−	0.676496i	0.323113	−	0.0595622i
$130$	7.09080	−	1.25594i	0.621904	−	0.110153i
$131$	−13.7622	+	7.94561i	−1.20241	+	0.694211i	−0.961090	−	0.276235i	$-0.910913\pi$
$131$	−13.7622	+	7.94561i	−1.20241	+	0.694211i	−0.241318	+	0.970446i	$0.577580\pi$
$132$	0.403946	−	5.06990i	0.0351590	−	0.441278i
$133$	8.38438	−	17.9404i	0.727018	−	1.55563i
$134$	−2.23295			−0.192898
$135$	4.52330	+	15.4348i	0.389304	+	1.32841i
$136$	−8.88384	+	2.38042i	−0.761783	+	0.204119i
$137$	−1.28795	+	0.345106i	−0.110037	+	0.0294844i	−0.313417	−	0.949615i	$-0.601474\pi$
$137$	−1.28795	+	0.345106i	−0.110037	+	0.0294844i	0.203380	+	0.979100i	$0.434807\pi$
$138$	−2.61321	+	1.24334i	−0.222451	+	0.105840i
$139$	−18.4564			−1.56545			−0.782726	−	0.622367i	$-0.786171\pi$
$139$	−18.4564			−1.56545			−0.782726	+	0.622367i	$0.786171\pi$
$140$	−7.42993	−	10.6303i	−0.627944	−	0.898427i
$141$	3.43668	+	0.273818i	0.289420	+	0.0230597i
$142$	1.53652	−	0.887111i	0.128942	−	0.0744447i
$143$	−3.83031	+	5.47924i	−0.320306	+	0.458197i
$144$	−3.89980	−	3.17051i	−0.324983	−	0.264209i
$145$	−7.05656	+	26.3355i	−0.586016	+	2.18704i
$146$			0.602987i			0.0499035i
$147$	−2.03306	+	11.9527i	−0.167684	+	0.985841i
$148$	9.88235	+	9.88235i	0.812324	+	0.812324i
$149$	−0.756961	−	0.202827i	−0.0620126	−	0.0166162i	0.227679	−	0.973736i	$-0.426886\pi$
$149$	−0.756961	−	0.202827i	−0.0620126	−	0.0166162i	−0.289692	+	0.957120i	$0.593553\pi$
$150$	−2.90403	+	4.21665i	−0.237113	+	0.344288i
$151$	2.80292	+	10.4606i	0.228099	+	0.851275i	0.981139	+	0.193302i	$0.0619196\pi$
$151$	2.80292	+	10.4606i	0.228099	+	0.851275i	−0.753041	+	0.657974i	$0.771414\pi$
$152$	14.9885	−	8.65363i	1.21573	−	0.701902i
$153$	−1.88945	+	11.7819i	−0.152753	+	0.952511i
$154$	−3.11677	−	0.552313i	−0.251157	−	0.0445066i
$155$	1.24546			0.100038
$156$	3.46173	+	9.26436i	0.277160	+	0.741742i
$157$	−6.61319	+	11.4544i	−0.527790	+	0.914159i	0.471685	+	0.881767i	$0.343646\pi$
$157$	−6.61319	+	11.4544i	−0.527790	+	0.914159i	−0.999475	+	0.0323919i	$0.989688\pi$
$158$	−0.278508	−	1.03941i	−0.0221569	−	0.0826906i
$159$	0.980383	−	2.76003i	0.0777494	−	0.218884i
$160$		−	17.6610i		−	1.39622i
$161$	−2.33769	−	6.43982i	−0.184235	−	0.507529i
$162$	5.18438	−	2.61635i	0.407323	−	0.205560i
$163$	4.27166	+	1.14459i	0.334582	+	0.0896510i	0.422199	−	0.906503i	$-0.361258\pi$
$163$	4.27166	+	1.14459i	0.334582	+	0.0896510i	−0.0876168	+	0.996154i	$0.527925\pi$
$164$	15.7987	−	4.23325i	1.23367	−	0.330561i
$165$	−1.80211	−	9.77607i	−0.140294	−	0.761066i
$166$	8.10993	−	4.68227i	0.629453	−	0.363415i
$167$	−15.0228	−	15.0228i	−1.16250	−	1.16250i	−0.983927	−	0.178574i	$-0.942852\pi$
$167$	−15.0228	−	15.0228i	−1.16250	−	1.16250i	−0.178574	−	0.983927i	$-0.557148\pi$
$168$	−7.44086	+	7.54435i	−0.574075	+	0.582059i
$169$	2.23767	−	12.8060i	0.172128	−	0.985075i
$170$	−6.87971	+	3.97200i	−0.527650	+	0.304639i
$171$	−2.30390	−	22.3359i	−0.176184	−	1.70807i
$172$	−1.70600	+	2.95488i	−0.130081	+	0.225307i
$173$	0.715607	+	1.23947i	0.0544066	+	0.0942349i	0.891946	−	0.452142i	$-0.149340\pi$
$173$	0.715607	+	1.23947i	0.0544066	+	0.0942349i	−0.837539	+	0.546377i	$0.816007\pi$
$174$	9.81283	+	0.781840i	0.743909	+	0.0592712i
$175$	−9.27840	−	7.79899i	−0.701381	−	0.589549i
$176$	2.19652	+	2.19652i	0.165569	+	0.165569i
$177$	−5.56174	−	11.6895i	−0.418046	−	0.878638i
$178$	−0.412100	+	0.713778i	−0.0308882	+	0.0534999i
$179$	1.49301	−	2.58597i	0.111593	−	0.193284i	−0.804820	−	0.593519i	$-0.797738\pi$
$179$	1.49301	−	2.58597i	0.111593	−	0.193284i	0.916413	+	0.400235i	$0.131071\pi$
$180$	−13.4230	−	6.00746i	−1.00049	−	0.447770i
$181$			0.139593i			0.0103759i	0.999987	+	0.00518793i	$0.00165138\pi$
$181$			0.139593i			0.0103759i	−0.999987	+	0.00518793i	$0.998349\pi$
$182$	5.94559	−	1.59260i	0.440716	−	0.118051i
$183$	−1.10229	+	0.939600i	−0.0814835	+	0.0694572i
$184$	1.54971	−	5.78358i	0.114246	−	0.426371i
$185$	23.6566	+	13.6582i	1.73927	+	1.00417i
$186$	−0.0815192	−	0.442226i	−0.00597728	−	0.0324256i
$187$	1.90877	−	7.12363i	0.139583	−	0.520932i
$188$	−2.22895	+	2.22895i	−0.162563	+	0.162563i
$189$	4.99048	+	12.8100i	0.363004	+	0.931787i
$190$	10.5705	−	10.5705i	0.766866	−	0.766866i
$191$	−21.1482	+	12.2099i	−1.53023	+	0.883478i	−0.530877	+	0.847449i	$0.678138\pi$
$191$	−21.1482	+	12.2099i	−1.53023	+	0.883478i	−0.999351	+	0.0360289i	$0.988529\pi$
$192$	−0.563540	+	0.103882i	−0.0406700	+	0.00749704i
$193$	−1.59054	−	5.93597i	−0.114489	−	0.427280i	0.884759	−	0.466049i	$-0.154323\pi$
$193$	−1.59054	−	5.93597i	−0.114489	−	0.427280i	−0.999248	+	0.0387689i	$0.987656\pi$
$194$	2.91744	+	5.05316i	0.209460	+	0.362796i
$195$	11.2222	+	15.7394i	0.803637	+	1.12713i
$196$	−7.11123	−	8.50425i	−0.507945	−	0.607447i
$197$	8.95222	−	8.95222i	0.637819	−	0.637819i	−0.312198	−	0.950017i	$-0.601065\pi$
$197$	8.95222	−	8.95222i	0.637819	−	0.637819i	0.950017	+	0.312198i	$0.101065\pi$
$198$	−3.35324	+	1.27975i	−0.238305	+	0.0909479i
$199$	−3.19003	−	1.84177i	−0.226135	−	0.130559i	0.382653	−	0.923892i	$-0.375011\pi$
$199$	−3.19003	−	1.84177i	−0.226135	−	0.130559i	−0.608788	+	0.793333i	$0.708344\pi$
$200$	−2.74174	−	10.2323i	−0.193870	−	0.723533i
$201$	−2.57526	−	5.41262i	−0.181645	−	0.381777i
$202$	−4.59955	+	4.59955i	−0.323623	+	0.323623i
$203$	−4.06632	+	22.9468i	−0.285400	+	1.61055i
$204$	−7.07758	−	8.30303i	−0.495529	−	0.581328i
$205$	27.6857	−	15.9843i	1.93365	−	1.11639i
$206$	9.34420	−	2.50377i	0.651042	−	0.174446i
$207$	−6.02763	−	4.90042i	−0.418949	−	0.340603i
$208$	−5.67779	−	2.06159i	−0.393684	−	0.142945i
$209$			13.8781i			0.959967i
$210$	−4.52141	+	7.95774i	−0.312007	+	0.549136i
$211$	18.0624			1.24346			0.621732	−	0.783230i	$-0.286429\pi$
$211$	18.0624			1.24346			0.621732	+	0.783230i	$0.286429\pi$
$212$	1.33902	+	2.31926i	0.0919646	+	0.159287i
$213$	3.92240	+	2.70138i	0.268759	+	0.185096i
$214$	0.106235	−	0.0284655i	0.00726206	−	0.00194586i
$215$	−1.72604	+	6.44168i	−0.117715	+	0.439319i
$216$	−2.83879	+	11.6750i	−0.193155	+	0.794384i
$217$	1.06058	−	0.0918774i	0.0719970	−	0.00623704i
$218$	−9.39431			−0.636263
$219$	−1.46162	+	0.695424i	−0.0987674	+	0.0469924i
$220$	7.87144	+	4.54458i	0.530692	+	0.306395i
$221$	2.50119	+	14.1212i	0.168248	+	0.949896i
$222$	3.30121	−	9.29374i	0.221563	−	0.623755i
$223$	−2.78290	−	2.78290i	−0.186357	−	0.186357i	0.607762	−	0.794119i	$-0.292067\pi$
$223$	−2.78290	−	2.78290i	−0.186357	−	0.186357i	−0.794119	+	0.607762i	$0.792067\pi$
$224$	−1.30285	−	15.0394i	−0.0870502	−	1.00486i
$225$	−13.5703	−	2.17625i	−0.904684	−	0.145083i
$226$	−0.298360	+	1.11350i	−0.0198466	+	0.0740686i
$227$	−2.81204	−	10.4947i	−0.186642	−	0.696557i	−0.994273	−	0.106869i	$-0.965917\pi$
$227$	−2.81204	−	10.4947i	−0.186642	−	0.696557i	0.807631	−	0.589688i	$-0.200749\pi$
$228$	16.9086	+	11.6451i	1.11980	+	0.771215i
$229$	−2.58390	−	0.692354i	−0.170749	−	0.0457520i	0.172432	−	0.985021i	$-0.444838\pi$
$229$	−2.58390	−	0.692354i	−0.170749	−	0.0457520i	−0.343181	+	0.939269i	$0.611504\pi$
$230$		−	5.17173i		−	0.341014i
$231$	−2.25578	−	8.19196i	−0.148419	−	0.538992i
$232$	−14.4019	+	14.4019i	−0.945532	+	0.945532i
$233$	7.66251	+	13.2719i	0.501988	+	0.869468i	0.999997	+	0.00229662i	$0.000731037\pi$
$233$	7.66251	+	13.2719i	0.501988	+	0.869468i	−0.498010	+	0.867171i	$0.665936\pi$
$234$	4.85409	−	5.01487i	0.317322	−	0.327832i
$235$	−3.08058	+	5.33572i	−0.200955	+	0.348064i
$236$	11.4329	+	3.06343i	0.744216	+	0.199412i
$237$	2.19829	−	1.87384i	0.142794	−	0.121719i
$238$	−5.56547	+	3.88992i	−0.360756	+	0.252146i
$239$	−1.25299	+	1.25299i	−0.0810494	+	0.0810494i	−0.746469	−	0.665420i	$-0.768253\pi$
$239$	−1.25299	+	1.25299i	−0.0810494	+	0.0810494i	0.665420	+	0.746469i	$0.268253\pi$
$240$	8.11073	−	3.85899i	0.523545	−	0.249097i
$241$	3.66827	+	13.6902i	0.236294	+	0.881861i	0.977561	+	0.210651i	$0.0675585\pi$
$241$	3.66827	+	13.6902i	0.236294	+	0.881861i	−0.741267	+	0.671210i	$0.765775\pi$
$242$	−4.71308	+	1.26287i	−0.302968	+	0.0811801i
$243$	12.3211	+	9.54937i	0.790399	+	0.612592i
$244$		−	1.32432i		−	0.0847811i
$245$	−17.7277	−	12.4582i	−1.13258	−	0.795926i
$246$	−7.48769	−	8.78415i	−0.477397	−	0.560057i
$247$	−11.4240	−	24.4496i	−0.726891	−	1.55569i
$248$	0.805745	+	0.465197i	0.0511649	+	0.0295400i
$249$	20.7029	+	14.2582i	1.31199	+	0.903577i
$250$	0.418204	+	0.724351i	0.0264496	+	0.0458120i
$251$	−6.75701			−0.426499			−0.213249	−	0.976998i	$-0.568405\pi$
$251$	−6.75701			−0.426499			−0.213249	+	0.976998i	$0.568405\pi$
$252$	−11.8737	−	4.12550i	−0.747971	−	0.259882i
$253$	3.39499	+	3.39499i	0.213441	+	0.213441i
$254$	0.825916	−	3.08236i	0.0518226	−	0.193405i
$255$	−17.5624	−	12.0953i	−1.09980	−	0.757440i
$256$	3.94347	−	6.83029i	0.246467	−	0.426893i
$257$	2.25344	+	3.90308i	0.140566	+	0.243467i	0.927710	−	0.373302i	$-0.121775\pi$
$257$	2.25344	+	3.90308i	0.140566	+	0.243467i	−0.787144	+	0.616769i	$0.788441\pi$
$258$	2.40023	+	0.191239i	0.149432	+	0.0119060i
$259$	21.1526	+	9.88558i	1.31436	+	0.614260i
$260$	−17.6084	−	1.52684i	−1.09202	−	0.0946909i
$261$	9.42196	+	24.6877i	0.583205	+	1.52813i
$262$	−9.90425	+	2.65384i	−0.611887	+	0.163955i
$263$	19.3371	+	11.1643i	1.19237	+	0.688418i	0.958844	−	0.283932i	$-0.0916390\pi$
$263$	19.3371	+	11.1643i	1.19237	+	0.688418i	0.233530	+	0.972350i	$0.424972\pi$
$264$	2.48564	−	6.99771i	0.152981	−	0.430679i
$265$	3.70127	+	3.70127i	0.227367	+	0.227367i
$266$	8.22164	−	9.78121i	0.504101	−	0.599725i
$267$	−2.20545	−	0.175720i	−0.134972	−	0.0107539i
$268$	5.29378	+	1.41847i	0.323369	+	0.0866466i
$269$	−5.45550	−	3.14973i	−0.332628	−	0.192043i	0.324380	−	0.945927i	$-0.394845\pi$
$269$	−5.45550	−	3.14973i	−0.332628	−	0.192043i	−0.657007	+	0.753884i	$0.728178\pi$
$270$	0.241549	+	10.3752i	0.0147002	+	0.631413i
$271$	7.65925	+	2.05229i	0.465267	+	0.124668i	0.483834	−	0.875160i	$-0.339244\pi$
$271$	7.65925	+	2.05229i	0.465267	+	0.124668i	−0.0185674	+	0.999828i	$0.505911\pi$
$272$	6.66360			0.404040
$273$	10.7175	+	12.5752i	0.648650	+	0.761087i
$274$	−0.860354			−0.0519759
$275$	8.20492	+	2.19850i	0.494775	+	0.132575i
$276$	6.98510	−	1.28762i	0.420453	−	0.0775057i
$277$	16.4162	+	9.47790i	0.986354	+	0.569472i	0.904182	−	0.427146i	$-0.140481\pi$
$277$	16.4162	+	9.47790i	0.986354	+	0.569472i	0.0821715	+	0.996618i	$0.473814\pi$
$278$	−11.5030	−	3.08222i	−0.689905	−	0.184860i
$279$	0.977928	−	0.707619i	0.0585470	−	0.0423640i
$280$	−6.46161	−	17.8003i	−0.386155	−	1.06377i
$281$	12.9356	+	12.9356i	0.771675	+	0.771675i	0.978399	−	0.206724i	$-0.0662803\pi$
$281$	12.9356	+	12.9356i	0.771675	+	0.771675i	−0.206724	+	0.978399i	$0.566280\pi$
$282$	2.09619	+	0.744584i	0.124826	+	0.0443393i
$283$	2.79399	+	1.61311i	0.166085	+	0.0958894i	0.580739	−	0.814090i	$-0.302764\pi$
$283$	2.79399	+	1.61311i	0.166085	+	0.0958894i	−0.414653	+	0.909979i	$0.636097\pi$
$284$	−4.20624	+	1.12706i	−0.249594	+	0.0668786i
$285$	37.8136	+	13.4317i	2.23989	+	0.795625i
$286$	−3.30229	+	2.77529i	−0.195268	+	0.164106i
$287$	22.3968	−	15.6540i	1.32204	−	0.924026i
$288$	−10.0342	−	13.8673i	−0.591274	−	0.817139i
$289$	0.589812	+	1.02158i	0.0346948	+	0.0600932i
$290$	−8.79606	+	15.2352i	−0.516522	+	0.894643i
$291$	−8.88405	+	12.8996i	−0.520792	+	0.756189i
$292$	0.383042	−	1.42953i	0.0224158	−	0.0836571i
$293$	−20.3414	−	20.3414i	−1.18836	−	1.18836i	−0.977521	−	0.210839i	$-0.932381\pi$
$293$	−20.3414	−	20.3414i	−1.18836	−	1.18836i	−0.210839	−	0.977521i	$-0.567619\pi$
$294$	−3.26321	+	7.11003i	−0.190314	+	0.414665i
$295$	23.1344			1.34694
$296$	10.2030	+	17.6722i	0.593040	+	1.02718i
$297$	−6.96937	−	6.65224i	−0.404404	−	0.386002i
$298$	−0.437906	−	0.252825i	−0.0253672	−	0.0146458i
$299$	−8.77574	−	3.18644i	−0.507514	−	0.184277i
$300$	9.56333	−	8.15187i	0.552139	−	0.470648i
$301$	−0.994626	+	5.61280i	−0.0573293	+	0.323517i
$302$			6.98772i			0.402098i
$303$	−16.4538	−	5.84454i	−0.945249	−	0.335760i
$304$	−12.1122	+	3.24546i	−0.694684	+	0.186140i
$305$	−0.669942	−	2.50026i	−0.0383608	−	0.143164i
$306$	−3.14519	+	7.02758i	−0.179798	+	0.401740i
$307$	4.08808	−	4.08808i	0.233319	−	0.233319i	−0.580758	−	0.814077i	$-0.697244\pi$
$307$	4.08808	−	4.08808i	0.233319	−	0.233319i	0.814077	+	0.580758i	$0.197244\pi$
$308$	7.03825	+	3.28930i	0.401042	+	0.187425i
$309$	16.8457	+	19.7625i	0.958321	+	1.12425i
$310$	0.776236	+	0.207992i	0.0440872	+	0.0118131i
$311$	12.4960	−	21.6436i	0.708581	−	1.22730i	−0.256802	−	0.966464i	$-0.582669\pi$
$311$	12.4960	−	21.6436i	0.708581	−	1.22730i	0.965383	−	0.260835i	$-0.0839977\pi$
$312$	1.38124	+	14.3742i	0.0781972	+	0.813781i
$313$	−7.08592	−	12.2732i	−0.400520	−	0.693720i	0.593269	−	0.805004i	$-0.297837\pi$
$313$	−7.08592	−	12.2732i	−0.400520	−	0.693720i	−0.993789	+	0.111284i	$0.964504\pi$
$314$	−6.03458	+	6.03458i	−0.340551	+	0.340551i
$315$	−24.5039	−	1.78215i	−1.38064	−	0.100413i
$316$			2.64109i			0.148573i
$317$	−15.1544	−	4.06062i	−0.851158	−	0.228067i	−0.193235	−	0.981152i	$-0.561898\pi$
$317$	−15.1544	−	4.06062i	−0.851158	−	0.228067i	−0.657923	+	0.753085i	$0.728565\pi$
$318$	1.07195	−	1.55647i	0.0601121	−	0.0872826i
$319$	−4.22700	−	15.7754i	−0.236667	−	0.883252i
$320$	0.265049	−	0.989178i	0.0148167	−	0.0552967i
$321$	0.191520	+	0.224681i	0.0106896	+	0.0125405i
$322$	−0.381518	−	4.40404i	−0.0212612	−	0.245427i
$323$	21.0510	+	21.0510i	1.17131	+	1.17131i
$324$	−13.9529	+	2.90938i	−0.775161	+	0.161632i
$325$	−16.2647	+	2.88084i	−0.902201	+	0.159800i
$326$	2.47118	+	1.42674i	0.136866	+	0.0790196i
$327$	−10.8345	−	22.7716i	−0.599147	−	1.25927i
$328$	23.8816			1.31864
$329$	−2.22968	+	4.77094i	−0.122926	+	0.263030i
$330$	0.509438	−	6.39392i	0.0280436	−	0.351974i
$331$	−2.53446	+	9.45875i	−0.139307	+	0.519900i	0.860636	+	0.509220i	$0.170066\pi$
$331$	−2.53446	+	9.45875i	−0.139307	+	0.519900i	−0.999943	+	0.0106796i	$0.996601\pi$
$332$	−22.2010	+	5.94875i	−1.21844	+	0.326480i
$333$	26.3351	−	2.71641i	1.44315	−	0.148859i
$334$	−6.85421	−	11.8718i	−0.375046	−	0.649598i
$335$	10.7120			0.585257
$336$	6.62209	−	3.88449i	0.361265	−	0.211916i
$337$			10.9367i			0.595763i	0.954603	+	0.297881i	$0.0962800\pi$
$337$			10.9367i			0.595763i	−0.954603	+	0.297881i	$0.903720\pi$
$338$	3.53324	−	7.60767i	0.192183	−	0.413803i
$339$	−3.04318	+	0.560975i	−0.165283	+	0.0304680i
$340$	18.8333	−	5.04636i	1.02138	−	0.273678i
$341$	−0.646098	+	0.373025i	−0.0349882	+	0.0202004i
$342$	2.29418	−	14.3057i	0.124055	−	0.773562i
$343$	−16.0153	−	9.30114i	−0.864743	−	0.502214i
$344$	−3.52272	+	3.52272i	−0.189932	+	0.189932i
$345$	12.5361	−	5.96455i	0.674923	−	0.321121i
$346$	0.239013	+	0.892009i	0.0128494	+	0.0479547i
$347$	8.21419	+	4.74247i	0.440961	+	0.254589i	0.704005	−	0.710195i	$-0.251393\pi$
$347$	8.21419	+	4.74247i	0.440961	+	0.254589i	−0.263044	+	0.964784i	$0.584727\pi$
$348$	−22.7671	−	8.08707i	−1.22045	−	0.433512i
$349$	−16.6668	+	16.6668i	−0.892155	+	0.892155i	−0.994726	−	0.102571i	$-0.967293\pi$
$349$	−16.6668	+	16.6668i	−0.892155	+	0.892155i	0.102571	+	0.994726i	$0.467293\pi$
$350$	−4.48036	−	6.41025i	−0.239485	−	0.342642i
$351$	17.7541	+	5.98255i	0.947645	+	0.319325i
$352$	5.28961	+	9.16187i	0.281937	+	0.488329i
$353$	−6.45969	−	24.1079i	−0.343815	−	1.28313i	−0.893991	−	0.448085i	$-0.852106\pi$
$353$	−6.45969	−	24.1079i	−0.343815	−	1.28313i	0.550176	−	0.835049i	$-0.314561\pi$
$354$	−1.51422	−	8.21434i	−0.0804798	−	0.436587i
$355$	−7.37102	+	4.25566i	−0.391213	+	0.225867i
$356$	1.43041	−	1.43041i	0.0758115	−	0.0758115i
$357$	−15.8477	−	9.00433i	−0.838750	−	0.476560i
$358$	1.36238	−	1.36238i	0.0720040	−	0.0720040i
$359$	8.76540	−	32.7129i	0.462620	−	1.72652i	−0.202041	−	0.979377i	$-0.564757\pi$
$359$	8.76540	−	32.7129i	0.462620	−	1.72652i	0.664661	−	0.747145i	$-0.268576\pi$
$360$	−16.6610	−	13.5453i	−0.878111	−	0.713898i
$361$	−32.0621	−	18.5111i	−1.68748	−	0.974268i
$362$	−0.0233120	+	0.0870017i	−0.00122525	+	0.00457271i
$363$	−8.49674	−	9.96792i	−0.445963	−	0.523180i
$364$	−15.1072	−	0.00123103i	−0.791833	−	6.45235e-5i
$365$		−	2.89266i		−	0.151409i
$366$	−0.843919	+	0.401527i	−0.0441123	+	0.0209881i
$367$	−7.99630	+	13.8500i	−0.417404	+	0.722964i	−0.995677	−	0.0928784i	$-0.970393\pi$
$367$	−7.99630	+	13.8500i	−0.417404	+	0.722964i	0.578274	+	0.815843i	$0.303727\pi$
$368$	−2.16908	+	3.75695i	−0.113071	+	0.195845i
$369$	12.6570	−	28.2807i	0.658898	−	1.47224i
$370$	12.4632	+	12.4632i	0.647928	+	0.647928i
$371$	3.42489	+	2.87881i	0.177812	+	0.149460i
$372$	−0.0876582	+	1.10019i	−0.00454487	+	0.0570423i
$373$	3.92668	+	6.80121i	0.203316	+	0.352153i	0.949595	−	0.313480i	$-0.101495\pi$
$373$	3.92668	+	6.80121i	0.203316	+	0.352153i	−0.746279	+	0.665633i	$0.768162\pi$
$374$	2.37930	−	4.12106i	0.123031	−	0.213095i
$375$	−1.27349	+	1.84911i	−0.0657630	+	0.0954876i
$376$	−3.98594	+	2.30129i	−0.205559	+	0.118680i
$377$	20.4327	+	24.3126i	1.05234	+	1.25216i
$378$	0.971070	+	8.81726i	0.0499465	+	0.453511i
$379$	16.0108	+	16.0108i	0.822421	+	0.822421i	0.986455	−	0.164033i	$-0.0524505\pi$
$379$	16.0108	+	16.0108i	0.822421	+	0.822421i	−0.164033	+	0.986455i	$0.552450\pi$
$380$	−31.7749	+	18.3453i	−1.63002	+	0.941092i
$381$	8.42409	−	1.55288i	0.431579	−	0.0795567i
$382$	−15.2197	+	4.07811i	−0.778709	+	0.208654i
$383$	−9.44161	−	2.52987i	−0.482444	−	0.129270i	0.00939643	−	0.999956i	$-0.497009\pi$
$383$	−9.44161	−	2.52987i	−0.482444	−	0.129270i	−0.491840	+	0.870685i	$0.663676\pi$
$384$	19.3339	+	1.54043i	0.986628	+	0.0786099i
$385$	14.9518	+	2.64957i	0.762017	+	0.135034i
$386$		−	3.96523i		−	0.201825i
$387$	2.30462	+	6.03865i	0.117151	+	0.306962i
$388$	−3.70656	−	13.8331i	−0.188172	−	0.702268i
$389$	−11.6099	+	20.1089i	−0.588645	+	1.01956i	0.405765	+	0.913977i	$0.367005\pi$
$389$	−11.6099	+	20.1089i	−0.588645	+	1.01956i	−0.994410	+	0.105585i	$0.966328\pi$
$390$	4.36577	+	11.6838i	0.221069	+	0.591631i
$391$	10.2994			0.520864
$392$	−6.81557	−	14.6814i	−0.344238	−	0.741522i
$393$	−17.8554	−	20.9470i	−0.900686	−	1.05664i
$394$	7.07452	−	4.08448i	0.356409	−	0.205773i
$395$	1.33606	+	4.98625i	0.0672246	+	0.250886i
$396$	8.76266	−	0.903852i	0.440340	−	0.0454203i
$397$	−25.1343	−	6.73471i	−1.26145	−	0.338005i	−0.434702	−	0.900574i	$-0.643146\pi$
$397$	−25.1343	−	6.73471i	−1.26145	−	0.338005i	−0.826750	+	0.562569i	$0.809813\pi$
$398$	−1.68062	−	1.68062i	−0.0842420	−	0.0842420i
$399$	33.1914	+	8.64838i	1.66165	+	0.432961i
$400$			7.67505i			0.383753i
$401$	−1.66353	+	6.20836i	−0.0830725	+	0.310031i	−0.994942	−	0.100449i	$-0.967972\pi$
$401$	−1.66353	+	6.20836i	−0.0830725	+	0.310031i	0.911870	+	0.410480i	$0.134639\pi$
$402$	−0.701133	−	3.80351i	−0.0349693	−	0.189702i
$403$	0.831194	−	1.18902i	0.0414047	−	0.0592293i
$404$	13.8262	−	7.98257i	0.687880	−	0.397148i
$405$	−24.8706	+	12.5512i	−1.23583	+	0.623674i
$406$	−6.36647	+	13.6226i	−0.315962	+	0.676077i
$407$	−16.3629			−0.811080
$408$	−6.84415	−	14.3849i	−0.338836	−	0.712157i
$409$	4.91381	−	1.31665i	0.242972	−	0.0651043i	−0.135278	−	0.990808i	$-0.543193\pi$
$409$	4.91381	−	1.31665i	0.242972	−	0.0651043i	0.378250	+	0.925703i	$0.376526\pi$
$410$	19.9246	−	5.33878i	0.984005	−	0.263663i
$411$	−0.992245	−	2.08548i	−0.0489439	−	0.102869i
$412$	−23.7433			−1.16975
$413$	19.7003	−	1.70662i	0.969389	−	0.0839774i
$414$	−2.93837	−	4.06082i	−0.144413	−	0.199578i
$415$	−38.9051	+	22.4619i	−1.90978	+	1.10261i
$416$	−16.8607	−	11.7866i	−0.826662	−	0.577885i
$417$	−5.79519	−	31.4378i	−0.283791	−	1.53951i
$418$	−2.31764	+	8.64956i	−0.113360	+	0.423064i
$419$		−	30.1187i		−	1.47140i	−0.677310	−	0.735698i	$-0.736854\pi$
$419$		−	30.1187i		−	1.47140i	0.677310	−	0.735698i	$-0.263146\pi$
$420$	15.7742	−	15.9936i	0.769704	−	0.780410i
$421$	15.4295	+	15.4295i	0.751987	+	0.751987i	0.974850	−	0.222863i	$-0.0715402\pi$
$421$	15.4295	+	15.4295i	0.751987	+	0.751987i	−0.222863	+	0.974850i	$0.571540\pi$
$422$	11.2574	+	3.01642i	0.548003	+	0.146837i
$423$	0.612684	+	5.93985i	0.0297897	+	0.288805i
$424$	1.01204	+	3.77700i	0.0491492	+	0.183427i
$425$	15.7805	−	9.11086i	0.765465	−	0.441942i
$426$	1.99352	+	2.33869i	0.0965863	+	0.113310i
$427$	−0.754939	−	2.07970i	−0.0365341	−	0.100644i
$428$	−0.269939			−0.0130480
$429$	−10.5358	−	4.80392i	−0.508671	−	0.231935i
$430$	−2.15152	+	3.72655i	−0.103756	+	0.179710i
$431$	−4.94565	−	18.4574i	−0.238224	−	0.889063i	−0.976669	−	0.214750i	$-0.931106\pi$
$431$	−4.94565	−	18.4574i	−0.238224	−	0.889063i	0.738445	−	0.674313i	$-0.235560\pi$
$432$	4.17598	−	7.63825i	0.200917	−	0.367495i
$433$			5.12853i			0.246462i	0.992378	+	0.123231i	$0.0393256\pi$
$433$			5.12853i			0.246462i	−0.992378	+	0.123231i	$0.960674\pi$
$434$	0.676355	+	0.119855i	0.0324661	+	0.00575320i
$435$	−47.0743	−	3.75066i	−2.25704	−	0.179830i
$436$	22.2716	+	5.96766i	1.06662	+	0.285799i
$437$	−18.7210	+	5.01627i	−0.895545	+	0.239961i
$438$	−1.02710	+	0.189334i	−0.0490767	+	0.00904671i
$439$	4.82999	−	2.78860i	0.230523	−	0.133093i	−0.380290	−	0.924867i	$-0.624176\pi$
$439$	4.82999	−	2.78860i	0.230523	−	0.133093i	0.610813	+	0.791775i	$0.290843\pi$
$440$	9.38411	+	9.38411i	0.447370	+	0.447370i
$441$	−20.9980	+	0.290048i	−0.999905	+	0.0138118i
$442$	−0.799375	+	9.21880i	−0.0380224	+	0.438494i
$443$	−6.08649	+	3.51404i	−0.289178	+	0.166957i	−0.637571	−	0.770392i	$-0.720061\pi$
$443$	−6.08649	+	3.51404i	−0.289178	+	0.166957i	0.348393	+	0.937349i	$0.386727\pi$
$444$	−13.7301	+	19.9361i	−0.651603	+	0.946126i
$445$	1.97693	−	3.42415i	0.0937156	−	0.162320i
$446$	−1.26971	−	2.19920i	−0.0601224	−	0.104135i
$447$	0.107805	−	1.35306i	0.00509901	−	0.0639974i
$448$	0.152734	−	0.861896i	0.00721599	−	0.0407208i
$449$	0.494694	+	0.494694i	0.0233460	+	0.0233460i	0.718683	−	0.695337i	$-0.244745\pi$
$449$	0.494694	+	0.494694i	0.0233460	+	0.0233460i	−0.695337	+	0.718683i	$0.744745\pi$
$450$	−8.09428	−	3.62259i	−0.381568	−	0.170771i
$451$	−9.57489	+	16.5842i	−0.450864	+	0.780919i
$452$	1.41468	−	2.45029i	0.0665408	−	0.115252i
$453$	−16.9381	+	8.05894i	−0.795820	+	0.378642i
$454$		−	7.01046i		−	0.329017i
$455$	−28.5223	+	7.64003i	−1.33715	+	0.358170i
$456$	19.4465	+	22.8136i	0.910665	+	1.06834i
$457$	−5.38209	+	20.0862i	−0.251763	+	0.939594i	0.718099	+	0.695941i	$0.245013\pi$
$457$	−5.38209	+	20.0862i	−0.251763	+	0.939594i	−0.969862	+	0.243653i	$0.921654\pi$
$458$	−1.49480	−	0.863024i	−0.0698475	−	0.0403265i
$459$	−20.6620	+	0.481042i	−0.964420	+	0.0224531i
$460$	−3.28530	+	12.2609i	−0.153178	+	0.571667i
$461$	−28.9822	+	28.9822i	−1.34984	+	1.34984i	−0.464005	+	0.885833i	$0.653588\pi$
$461$	−28.9822	+	28.9822i	−1.34984	+	1.34984i	−0.885833	+	0.464005i	$0.846412\pi$
$462$	−0.0378627	−	5.48239i	−0.00176153	−	0.255064i
$463$	−0.922226	+	0.922226i	−0.0428595	+	0.0428595i	−0.728212	−	0.685352i	$-0.759648\pi$
$463$	−0.922226	+	0.922226i	−0.0428595	+	0.0428595i	0.685352	+	0.728212i	$0.259648\pi$
$464$	12.7796	−	7.37831i	0.593279	−	0.342530i
$465$	0.391065	+	2.12145i	0.0181352	+	0.0983800i
$466$	2.55928	+	9.55137i	0.118556	+	0.442459i
$467$	−10.6300	−	18.4117i	−0.491896	−	0.851990i	0.508060	−	0.861322i	$-0.330363\pi$
$467$	−10.6300	−	18.4117i	−0.491896	−	0.851990i	−0.999956	+	0.00933199i	$0.997029\pi$
$468$	−14.6935	+	8.80549i	−0.679207	+	0.407034i
$469$	9.12188	−	0.790222i	0.421209	−	0.0364890i
$470$	−2.81105	+	2.81105i	−0.129664	+	0.129664i
$471$	−21.5873	−	7.66799i	−0.994692	−	0.353322i
$472$	14.9667	+	8.64104i	0.688899	+	0.397736i
$473$	−1.03393	−	3.85867i	−0.0475401	−	0.177422i
$474$	1.68302	−	0.800763i	0.0773038	−	0.0367803i
$475$	−24.2463	+	24.2463i	−1.11250	+	1.11250i
$476$	15.6654	−	5.68661i	0.718022	−	0.260645i
$477$	5.00913	+	0.803308i	0.229352	+	0.0367809i
$478$	−0.990183	+	0.571682i	−0.0452899	+	0.0261481i
$479$	24.4865	−	6.56115i	1.11882	−	0.299786i	0.348413	−	0.937341i	$-0.386721\pi$
$479$	24.4865	−	6.56115i	1.11882	−	0.299786i	0.770405	+	0.637555i	$0.220054\pi$
$480$	30.0828	−	5.54542i	1.37309	−	0.253113i
$481$	28.8272	−	13.4694i	1.31441	−	0.614153i
$482$			9.14505i			0.416546i
$483$	10.2353	−	6.00396i	0.465721	−	0.273190i
$484$	11.9758			0.544353
$485$	−13.9956	−	24.2411i	−0.635508	−	1.10073i
$486$	6.08442	+	8.00931i	0.275995	+	0.363309i
$487$	14.2676	−	3.82300i	0.646528	−	0.173237i	0.0793695	−	0.996845i	$-0.474709\pi$
$487$	14.2676	−	3.82300i	0.646528	−	0.173237i	0.567159	+	0.823609i	$0.308043\pi$
$488$	0.500467	−	1.86777i	0.0226551	−	0.0845499i
$489$	−0.608363	+	7.63553i	−0.0275111	+	0.345290i
$490$	−8.96835	−	10.7252i	−0.405149	−	0.484514i
$491$	−26.0161			−1.17409			−0.587045	−	0.809554i	$-0.699709\pi$
$491$	−26.0161			−1.17409			−0.587045	+	0.809554i	$0.699709\pi$
$492$	12.1714	+	25.5815i	0.548729	+	1.15331i
$493$	−30.3407	−	17.5172i	−1.36648	−	0.788936i
$494$	−3.03696	−	17.1461i	−0.136639	−	0.771439i
$495$	16.0862	−	6.13924i	0.723023	−	0.275938i
$496$	−0.476655	−	0.476655i	−0.0214024	−	0.0214024i
$497$	−5.96293	+	4.16771i	−0.267474	+	0.186947i
$498$	10.5220	+	12.3439i	0.471503	+	0.553142i
$499$	6.15815	−	22.9825i	0.275677	−	1.02884i	−0.679710	−	0.733481i	$-0.737894\pi$
$499$	6.15815	−	22.9825i	0.275677	−	1.02884i	0.955387	−	0.295358i	$-0.0954389\pi$
$500$	−0.531322	−	1.98292i	−0.0237614	−	0.0886788i
$501$	20.8721	−	30.3062i	0.932496	−	1.35398i
$502$	−4.21133	−	1.12842i	−0.187961	−	0.0503640i
$503$		−	2.48652i		−	0.110868i	−0.998462	−	0.0554342i	$-0.982346\pi$
$503$		−	2.48652i		−	0.110868i	0.998462	−	0.0554342i	$-0.0176543\pi$
$504$	−15.1871	−	10.3055i	−0.676486	−	0.459045i
$505$	22.0650	−	22.0650i	0.981881	−	0.981881i
$506$	1.54898	+	2.68291i	0.0688604	+	0.119270i
$507$	22.5157	−	0.209448i	0.999957	−	0.00930190i
$508$	−3.91609	+	6.78286i	−0.173748	+	0.300941i
$509$	35.4437	+	9.49712i	1.57102	+	0.420953i	0.936130	−	0.351653i	$-0.114380\pi$
$509$	35.4437	+	9.49712i	1.57102	+	0.420953i	0.634886	+	0.772606i	$0.281047\pi$
$510$	−8.92591	−	10.4714i	−0.395246	−	0.463681i
$511$	−0.213391	−	2.46327i	−0.00943987	−	0.108969i
$512$	−12.2376	+	12.2376i	−0.540832	+	0.540832i
$513$	37.3225	−	10.9377i	1.64783	−	0.482910i
$514$	0.752651	+	2.80893i	0.0331980	+	0.123897i
$515$	−44.8262	+	12.0111i	−1.97528	+	0.529274i
$516$	−5.56886	−	1.97810i	−0.245156	−	0.0870812i
$517$		−	3.69064i		−	0.162314i
$518$	11.5325	+	9.69371i	0.506710	+	0.425917i
$519$	−1.88655	+	1.60811i	−0.0828105	+	0.0705884i
$520$	−24.2571	−	8.80766i	−1.06374	−	0.386241i
$521$	−12.9293	−	7.46476i	−0.566445	−	0.327037i	0.189283	−	0.981922i	$-0.439384\pi$
$521$	−12.9293	−	7.46476i	−0.566445	−	0.327037i	−0.755728	+	0.654886i	$0.772717\pi$
$522$	1.74941	+	16.9602i	0.0765697	+	0.742328i
$523$	13.8251	+	23.9457i	0.604528	+	1.04707i	0.992126	+	0.125245i	$0.0399716\pi$
$523$	13.8251	+	23.9457i	0.604528	+	1.04707i	−0.387598	+	0.921829i	$0.626695\pi$
$524$	25.1664			1.09940
$525$	10.3711	−	18.2532i	0.452631	−	0.796635i
$526$	10.1875	+	10.1875i	0.444194	+	0.444194i
$527$	−0.414212	+	1.54586i	−0.0180434	+	0.0673388i
$528$	−3.05175	+	4.43113i	−0.132810	+	0.192840i
$529$	8.14742	−	14.1117i	0.354236	−	0.613554i
$530$	1.68872	+	2.92494i	0.0733531	+	0.127051i
$531$	18.1650	−	13.1440i	0.788294	−	0.570402i
$532$	−25.7049	+	17.9661i	−1.11445	+	0.778930i
$533$	3.21688	−	37.0987i	0.139339	−	1.60693i
$534$	−1.34521	−	0.477830i	−0.0582130	−	0.0206777i
$535$	−0.509632	+	0.136555i	−0.0220333	+	0.00590380i
$536$	6.93008	+	4.00108i	0.299334	+	0.172820i
$537$	4.87361	+	1.73114i	0.210312	+	0.0747044i
$538$	−2.87415	−	2.87415i	−0.123913	−	0.123913i
$539$	12.9278	+	1.15327i	0.556842	+	0.0496747i
$540$	6.01809	−	24.7504i	0.258977	−	1.06509i
$541$	−13.1030	−	3.51093i	−0.563341	−	0.150947i	−0.0341003	−	0.999418i	$-0.510857\pi$
$541$	−13.1030	−	3.51093i	−0.563341	−	0.150947i	−0.529241	+	0.848472i	$0.677523\pi$
$542$	4.43092	+	2.55819i	0.190324	+	0.109884i
$543$	−0.237776	+	0.0438312i	−0.0102039	+	0.00188098i
$544$	21.9208	+	5.87366i	0.939846	+	0.251831i
$545$	45.0666			1.93044
$546$	4.57963	+	9.62737i	0.195990	+	0.412013i
$547$	−5.81433			−0.248603			−0.124301	−	0.992245i	$-0.539669\pi$
$547$	−5.81433			−0.248603			−0.124301	+	0.992245i	$0.539669\pi$
$548$	2.03969	+	0.546533i	0.0871311	+	0.0233467i
$549$	−1.94658	−	1.58256i	−0.0830780	−	0.0675419i
$550$	4.74659	+	2.74045i	0.202395	+	0.116853i
$551$	63.6811	+	17.0633i	2.71291	+	0.726921i
$552$	10.3381	+	0.823689i	0.440017	+	0.0350585i
$553$	1.50557	+	4.14753i	0.0640235	+	0.176371i
$554$	8.64864	+	8.64864i	0.367446	+	0.367446i
$555$	−15.8366	+	44.5841i	−0.672227	+	1.89249i
$556$	25.3129	+	14.6144i	1.07350	+	0.619788i
$557$	−22.3726	+	5.99473i	−0.947959	+	0.254005i	−0.699496	−	0.714636i	$-0.746592\pi$
$557$	−22.3726	+	5.99473i	−0.947959	+	0.254005i	−0.248463	+	0.968641i	$0.579926\pi$
$558$	0.727670	−	0.277712i	0.0308047	−	0.0117565i
$559$	4.99785	+	5.94688i	0.211386	+	0.251526i
$560$	1.18413	+	13.6690i	0.0500388	+	0.577620i
$561$	12.7334	+	1.01454i	0.537604	+	0.0428338i
$562$	5.90192	+	10.2224i	0.248958	+	0.431207i
$563$	−12.0866	+	20.9346i	−0.509390	+	0.882289i	0.490551	+	0.871413i	$0.336796\pi$
$563$	−12.0866	+	20.9346i	−0.509390	+	0.882289i	−0.999941	+	0.0108767i	$0.996538\pi$
$564$	−4.49657	−	3.09681i	−0.189340	−	0.130399i
$565$	1.43130	−	5.34168i	0.0602152	−	0.224726i
$566$	1.47197	+	1.47197i	0.0618717	+	0.0618717i
$567$	−20.2529	+	12.5228i	−0.850542	+	0.525908i
$568$	−6.35822			−0.266785
$569$	−13.0759	−	22.6482i	−0.548172	−	0.949462i	−0.998400	−	0.0565482i	$-0.981991\pi$
$569$	−13.0759	−	22.6482i	−0.548172	−	0.949462i	0.450228	−	0.892914i	$-0.351343\pi$
$570$	21.3244	+	14.6862i	0.893180	+	0.615139i
$571$	7.70168	+	4.44657i	0.322305	+	0.186083i	0.652420	−	0.757858i	$-0.273754\pi$
$571$	7.70168	+	4.44657i	0.322305	+	0.186083i	−0.330114	+	0.943941i	$0.607087\pi$
$572$	9.59189	−	4.48178i	0.401057	−	0.187393i
$573$	−27.4381	−	32.1890i	−1.14625	−	1.34471i
$574$	16.5731	−	6.01612i	0.691749	−	0.251108i
$575$			11.8628i			0.494711i
$576$	−0.353895	−	0.927288i	−0.0147456	−	0.0386370i
$577$	2.19601	−	0.588419i	0.0914211	−	0.0244962i	−0.212819	−	0.977092i	$-0.568264\pi$
$577$	2.19601	−	0.588419i	0.0914211	−	0.0244962i	0.304240	+	0.952596i	$0.401598\pi$
$578$	0.196998	+	0.735205i	0.00819402	+	0.0305805i
$579$	9.61163	−	4.57310i	0.399446	−	0.190052i
$580$	30.5313	−	30.5313i	1.26774	−	1.26774i
$581$	−31.4730	+	21.9977i	−1.30572	+	0.912616i
$582$	−7.69125	+	6.55609i	−0.318813	+	0.271759i
$583$	−3.02864	−	0.811523i	−0.125434	−	0.0336098i
$584$	1.08045	−	1.87140i	0.0447094	−	0.0774389i
$585$	−23.2861	+	24.0574i	−0.962763	+	0.994651i
$586$	−9.28085	−	16.0749i	−0.383388	−	0.664048i
$587$	10.1027	−	10.1027i	0.416982	−	0.416982i	−0.467180	−	0.884162i	$-0.654730\pi$
$587$	10.1027	−	10.1027i	0.416982	−	0.416982i	0.884162	+	0.467180i	$0.154730\pi$
$588$	12.2529	−	14.7832i	0.505299	−	0.609649i
$589$		−	3.01161i		−	0.124091i
$590$	14.4186	+	3.86345i	0.593604	+	0.159056i
$591$	18.0597	+	12.4378i	0.742877	+	0.511624i
$592$	−3.82656	−	14.2809i	−0.157270	−	0.586941i
$593$	6.27010	−	23.4003i	0.257482	−	0.960936i	−0.709211	−	0.704997i	$-0.750948\pi$
$593$	6.27010	−	23.4003i	0.257482	−	0.960936i	0.966693	−	0.255940i	$-0.0823848\pi$
$594$	−3.23276	−	5.30992i	−0.132642	−	0.217869i
$595$	26.6988	−	18.6608i	1.09454	−	0.765017i
$596$	0.877563	+	0.877563i	0.0359464	+	0.0359464i
$597$	2.13553	−	6.01205i	0.0874013	−	0.246057i
$598$	−4.93737	−	3.45151i	−0.201904	−	0.141143i
$599$	28.2976	+	16.3376i	1.15621	+	0.667537i	0.950392	−	0.311054i	$-0.100682\pi$
$599$	28.2976	+	16.3376i	1.15621	+	0.667537i	0.205815	+	0.978591i	$0.434015\pi$
$600$	16.5683	−	7.88302i	0.676399	−	0.321823i
$601$	−8.90763			−0.363350			−0.181675	−	0.983359i	$-0.558152\pi$
$601$	−8.90763			−0.363350			−0.181675	+	0.983359i	$0.558152\pi$
$602$	−1.55724	+	3.33210i	−0.0634685	+	0.135806i
$603$	8.41099	−	6.08611i	0.342522	−	0.247846i
$604$	4.43889	−	16.5662i	0.180616	−	0.674068i
$605$	22.6097	−	6.05824i	0.919213	−	0.246302i
$606$	−9.27888	−	6.39042i	−0.376929	−	0.259593i
$607$	−21.9203	−	37.9672i	−0.889719	−	1.54104i	−0.840207	−	0.542266i	$-0.817567\pi$
$607$	−21.9203	−	37.9672i	−0.889719	−	1.54104i	−0.0495124	−	0.998774i	$-0.515767\pi$
$608$	−42.7055			−1.73194
$609$	−40.3632	+	0.278758i	−1.63560	+	0.0112958i
$610$		−	1.67017i		−	0.0676234i
$611$	3.03801	+	6.50194i	0.122905	+	0.263040i
$612$	11.9207	−	14.6627i	0.481865	−	0.592704i
$613$	−1.95045	+	0.522621i	−0.0787778	+	0.0211084i	−0.297993	−	0.954568i	$-0.596317\pi$
$613$	−1.95045	+	0.522621i	−0.0787778	+	0.0211084i	0.219215	+	0.975677i	$0.429650\pi$
$614$	3.23062	−	1.86520i	0.130377	−	0.0752733i
$615$	35.9201	+	42.1395i	1.44844	+	1.69923i
$616$	8.68340	+	7.29887i	0.349864	+	0.294080i
$617$	−10.5691	+	10.5691i	−0.425497	+	0.425497i	−0.887091	−	0.461594i	$-0.847278\pi$
$617$	−10.5691	+	10.5691i	−0.425497	+	0.425497i	0.461594	+	0.887091i	$0.347278\pi$
$618$	7.19882	+	15.1303i	0.289579	+	0.608630i
$619$	−1.33324	−	4.97571i	−0.0535873	−	0.199991i	0.933942	−	0.357424i	$-0.116345\pi$
$619$	−1.33324	−	4.97571i	−0.0535873	−	0.199991i	−0.987530	+	0.157433i	$0.949678\pi$
$620$	−1.70814	−	0.986194i	−0.0686005	−	0.0396065i
$621$	6.45451	−	11.8059i	0.259010	−	0.473753i
$622$	11.4026	−	11.4026i	0.457205	−	0.457205i
$623$	1.43088	−	3.06171i	0.0573269	−	0.122665i
$624$	1.72882	−	10.3186i	0.0692083	−	0.413075i
$625$	−13.4593	−	23.3121i	−0.538371	−	0.932485i
$626$	−2.36670	−	8.83264i	−0.0945924	−	0.353023i
$627$	−23.6393	+	4.35762i	−0.944061	+	0.174027i
$628$	18.1399	−	10.4731i	0.723861	−	0.417921i
$629$	−24.8202	+	24.8202i	−0.989645	+	0.989645i
$630$	−14.9745	−	5.20289i	−0.596599	−	0.207288i
$631$	−18.2907	+	18.2907i	−0.728142	+	0.728142i	−0.970249	−	0.242107i	$-0.922161\pi$
$631$	−18.2907	+	18.2907i	−0.728142	+	0.728142i	0.242107	+	0.970249i	$0.422161\pi$
$632$	−0.998079	+	3.72488i	−0.0397014	+	0.148168i
$633$	5.67146	+	30.7666i	0.225420	+	1.22286i
$634$	−8.76693	−	5.06159i	−0.348179	−	0.201021i
$635$	−3.96210	+	14.7868i	−0.157231	+	0.586794i
$636$	−3.53007	+	3.00906i	−0.139976	+	0.119317i
$637$	−23.7248	+	8.61003i	−0.940012	+	0.341142i
$638$		−	10.5380i		−	0.417202i
$639$	−3.36980	+	7.52945i	−0.133307	+	0.297860i
$640$	−17.3306	+	30.0174i	−0.685051	+	1.18654i
$641$	7.18186	−	12.4393i	0.283666	−	0.491324i	−0.688619	−	0.725124i	$-0.741783\pi$
$641$	7.18186	−	12.4393i	0.283666	−	0.491324i	0.972285	+	0.233799i	$0.0751159\pi$
$642$	0.0818438	+	0.172017i	0.00323012	+	0.00678898i
$643$	10.6874	+	10.6874i	0.421470	+	0.421470i	0.885710	−	0.464240i	$-0.153672\pi$
$643$	10.6874	+	10.6874i	0.421470	+	0.421470i	−0.464240	+	0.885710i	$0.653672\pi$
$644$	−1.89314	+	10.6832i	−0.0746002	+	0.420979i
$645$	−11.5144	−	0.917415i	−0.453380	−	0.0361232i
$646$	9.60460	+	16.6357i	0.377888	+	0.654521i
$647$	−15.0168	+	26.0099i	−0.590371	+	1.02255i	0.403811	+	0.914842i	$0.367685\pi$
$647$	−15.0168	+	26.0099i	−0.590371	+	1.02255i	−0.994182	+	0.107711i	$0.965648\pi$
$648$	−20.7780	−	1.16958i	−0.816238	−	0.0459456i
$649$	−12.0013	+	6.92894i	−0.471091	+	0.271985i
$650$	−10.6181	−	0.920710i	−0.416476	−	0.0361132i
$651$	0.489515	+	1.77769i	0.0191856	+	0.0696734i
$652$	−4.95223	−	4.95223i	−0.193944	−	0.193944i
$653$	3.48004	−	2.00920i	0.136185	−	0.0786262i	−0.430360	−	0.902657i	$-0.641613\pi$
$653$	3.48004	−	2.00920i	0.136185	−	0.0786262i	0.566544	+	0.824031i	$0.308280\pi$
$654$	−2.94975	−	16.0018i	−0.115344	−	0.625721i
$655$	47.5129	−	12.7310i	1.85648	−	0.497443i
$656$	−16.7131	−	4.47827i	−0.652539	−	0.174847i
$657$	−1.64349	−	2.27130i	−0.0641187	−	0.0886119i
$658$	−2.18641	+	2.60115i	−0.0852350	+	0.101403i
$659$			30.4547i			1.18635i	0.805075	+	0.593173i	$0.202125\pi$
$659$			30.4547i			1.18635i	−0.805075	+	0.593173i	$0.797875\pi$
$660$	−5.26944	+	14.8348i	−0.205112	+	0.577444i
$661$	−0.115054	−	0.429388i	−0.00447509	−	0.0167013i	0.963652	−	0.267160i	$-0.0860852\pi$
$661$	−0.115054	−	0.429388i	−0.00447509	−	0.0167013i	−0.968127	+	0.250459i	$0.919419\pi$
$662$	−3.15923	+	5.47194i	−0.122787	+	0.212673i
$663$	−23.2681	+	8.69437i	−0.903657	+	0.337661i
$664$	−33.5594			−1.30236
$665$	−39.4410	+	46.9226i	−1.52946	+	1.81958i
$666$	16.8671	+	2.70495i	0.653586	+	0.104815i
$667$	19.7525	−	11.4041i	0.764819	−	0.441569i
$668$	8.70816	+	32.4993i	0.336929	+	1.25743i
$669$	3.86645	−	5.61407i	0.149485	−	0.217052i
$670$	6.67627	+	1.78890i	0.257927	+	0.0691113i
$671$	1.09639	+	1.09639i	0.0423257	+	0.0423257i
$672$	25.2082	−	6.94147i	0.972429	−	0.267773i
$673$		−	49.0345i		−	1.89014i	−0.326866	−	0.945071i	$-0.605993\pi$
$673$		−	49.0345i		−	1.89014i	0.326866	−	0.945071i	$-0.394007\pi$
$674$	−1.82644	+	6.81637i	−0.0703518	+	0.262557i
$675$	−0.554058	−	23.7983i	−0.0213257	−	0.915996i
$676$	−13.2091	+	15.7915i	−0.508044	+	0.607364i
$677$	−20.3423	+	11.7447i	−0.781820	+	0.451384i	−0.837075	−	0.547088i	$-0.815736\pi$
$677$	−20.3423	+	11.7447i	−0.781820	+	0.451384i	0.0552549	+	0.998472i	$0.482403\pi$
$678$	−1.99036	−	0.158582i	−0.0764392	−	0.00609032i
$679$	−13.7064	−	19.6103i	−0.526002	−	0.752574i
$680$	28.4687			1.09172
$681$	16.9932	−	8.08516i	0.651180	−	0.309824i
$682$	−0.464978	+	0.124591i	−0.0178049	+	0.00477082i
$683$	−7.09210	+	1.90032i	−0.271372	+	0.0727138i	−0.391939	−	0.919991i	$-0.628195\pi$
$683$	−7.09210	+	1.90032i	−0.271372	+	0.0727138i	0.120567	+	0.992705i	$0.461529\pi$
$684$	−14.5265	+	32.4579i	−0.555434	+	1.24106i
$685$	4.12731			0.157696
$686$	−8.42828	−	8.47152i	−0.321793	−	0.323444i
$687$	0.367995	−	4.61869i	0.0140399	−	0.176214i
$688$	3.12591	−	1.80474i	0.119174	−	0.0688052i
$689$	6.00370	−	1.06339i	0.228723	−	0.0405120i
$690$	8.80928	−	1.62389i	0.335363	−	0.0618204i
$691$	4.10075	−	15.3042i	0.156000	−	0.582199i	−0.843018	−	0.537885i	$-0.819223\pi$
$691$	4.10075	−	15.3042i	0.156000	−	0.582199i	0.999018	−	0.0443135i	$-0.0141101\pi$
$692$		−	2.26656i		−	0.0861618i
$693$	13.2455	−	6.41461i	0.503155	−	0.243671i
$694$	4.32753	+	4.32753i	0.164271	+	0.164271i
$695$	55.1825	+	14.7861i	2.09319	+	0.560869i
$696$	−29.0536	−	20.0094i	−1.10128	−	0.758455i
$697$	10.6321	+	39.6795i	0.402719	+	1.50297i
$698$	−13.1710	+	7.60430i	−0.498531	+	0.287827i
$699$	−20.2007	+	17.2192i	−0.764059	+	0.651291i
$700$	6.54977	+	18.0432i	0.247558	+	0.681970i
$701$	13.6578			0.515848			0.257924	−	0.966165i	$-0.416962\pi$
$701$	13.6578			0.515848			0.257924	+	0.966165i	$0.416962\pi$
$702$	10.0662	+	6.69359i	0.379926	+	0.252633i
$703$	33.0264	−	57.2034i	1.24561	−	2.15747i
$704$	0.158769	+	0.592534i	0.00598383	+	0.0223320i
$705$	−10.0559	−	3.57193i	−0.378727	−	0.134527i
$706$		−	16.1041i		−	0.606086i
$707$	17.1620	−	20.4174i	0.645442	−	0.767877i
$708$	−1.62825	+	20.4361i	−0.0611934	+	0.768035i
$709$	−23.9449	−	6.41601i	−0.899269	−	0.240958i	−0.220567	−	0.975372i	$-0.570791\pi$
$709$	−23.9449	−	6.41601i	−0.899269	−	0.240958i	−0.678702	+	0.734413i	$0.737457\pi$
$710$	−5.30471	+	1.42139i	−0.199082	+	0.0533440i
$711$	3.88206	+	3.15609i	0.145589	+	0.118362i
$712$	2.55794	−	1.47683i	0.0958629	−	0.0553465i
$713$	−0.736729	−	0.736729i	−0.0275907	−	0.0275907i
$714$	−8.37342	−	8.25855i	−0.313367	−	0.309069i
$715$	15.8418	−	13.3137i	0.592449	−	0.497903i
$716$	−4.09531	+	2.36443i	−0.153049	+	0.0883628i
$717$	−2.52772	−	1.74086i	−0.0943995	−	0.0650135i
$718$	10.9261	−	18.9246i	0.407760	−	0.706261i
$719$	9.18898	+	15.9158i	0.342691	+	0.593559i	0.984932	−	0.172945i	$-0.0553282\pi$
$719$	9.18898	+	15.9158i	0.342691	+	0.593559i	−0.642240	+	0.766503i	$0.721995\pi$
$720$	9.11993	+	12.6037i	0.339880	+	0.469713i
$721$	−37.2861	+	13.5350i	−1.38861	+	0.504071i
$722$	−16.8915	−	16.8915i	−0.628636	−	0.628636i
$723$	−22.1674	+	10.5470i	−0.824413	+	0.392246i
$724$	0.110534	−	0.191451i	0.00410797	−	0.00711521i
$725$	20.1761	−	34.9461i	0.749322	−	1.29786i
$726$	−3.63098	−	7.63150i	−0.134758	−	0.283232i
$727$		−	30.4911i		−	1.13085i	−0.824798	−	0.565427i	$-0.808711\pi$
$727$		−	30.4911i		−	1.13085i	0.824798	−	0.565427i	$-0.191289\pi$
$728$	−21.3061	−	5.71081i	−0.789656	−	0.211657i
$729$	−12.3972	+	23.9856i	−0.459155	+	0.888356i
$730$	0.483075	−	1.80286i	0.0178794	−	0.0667268i
$731$	−7.42137	−	4.28473i	−0.274489	−	0.158476i
$732$	2.25579	−	0.415829i	0.0833764	−	0.0153695i
$733$	−7.64628	+	28.5363i	−0.282422	+	1.05401i	0.668281	+	0.743909i	$0.267030\pi$
$733$	−7.64628	+	28.5363i	−0.282422	+	1.05401i	−0.950703	+	0.310104i	$0.899636\pi$
$734$	−7.29668	+	7.29668i	−0.269325	+	0.269325i
$735$	15.6543	−	34.1084i	0.577419	−	1.25811i
$736$	−10.4470	+	10.4470i	−0.385083	+	0.385083i
$737$	−5.55698	+	3.20832i	−0.204694	+	0.118180i
$738$	12.6114	−	15.5123i	0.464233	−	0.571017i
$739$	11.5871	+	43.2438i	0.426240	+	1.59075i	0.761201	+	0.648516i	$0.224610\pi$
$739$	11.5871	+	43.2438i	0.426240	+	1.59075i	−0.334961	+	0.942232i	$0.608723\pi$
$740$	−21.6299	−	37.4642i	−0.795133	−	1.37721i
$741$	38.0591	−	27.1361i	1.39814	−	0.996868i
$742$	1.65381	+	2.36618i	0.0607134	+	0.0868654i
$743$	−6.98891	+	6.98891i	−0.256398	+	0.256398i	−0.823588	−	0.567189i	$-0.808031\pi$
$743$	−6.98891	+	6.98891i	−0.256398	+	0.256398i	0.567189	+	0.823588i	$0.308031\pi$
$744$	−0.539396	+	1.51854i	−0.0197752	+	0.0556722i
$745$	2.10073	+	1.21286i	0.0769649	+	0.0444357i
$746$	1.31151	+	4.89463i	0.0480179	+	0.179205i
$747$	−17.7862	+	39.7413i	−0.650762	+	1.45406i
$748$	−8.25860	+	8.25860i	−0.301964	+	0.301964i
$749$	−0.423908	+	0.153881i	−0.0154893	+	0.00562267i
$750$	−1.10251	+	0.939791i	−0.0402580	+	0.0343163i
$751$	14.1897	−	8.19245i	0.517791	−	0.298947i	−0.218239	−	0.975895i	$-0.570031\pi$
$751$	14.1897	−	8.19245i	0.517791	−	0.298947i	0.736030	+	0.676948i	$0.236698\pi$
$752$	3.22104	−	0.863075i	0.117459	−	0.0314731i
$753$	−2.12166	−	11.5096i	−0.0773175	−	0.419432i
$754$	8.67452	+	18.5652i	0.315907	+	0.676103i
$755$		−	33.5216i		−	1.21998i
$756$	3.29892	−	21.5204i	0.119981	−	0.782690i
$757$	−3.07677			−0.111827			−0.0559136	−	0.998436i	$-0.517807\pi$
$757$	−3.07677			−0.111827			−0.0559136	+	0.998436i	$0.517807\pi$
$758$	7.30500	+	12.6526i	0.265329	+	0.459564i
$759$	−4.71686	+	6.84887i	−0.171211	+	0.248598i
$760$	−51.7467	+	13.8655i	−1.87705	+	0.502954i
$761$	12.7389	−	47.5421i	0.461783	−	1.72340i	−0.205556	−	0.978645i	$-0.565900\pi$
$761$	12.7389	−	47.5421i	0.461783	−	1.72340i	0.667340	−	0.744754i	$-0.267433\pi$
$762$	5.50968	+	0.438985i	0.199595	+	0.0159028i
$763$	38.3769	−	3.32456i	1.38934	−	0.120357i
$764$	38.6728			1.39913
$765$	15.0882	−	33.7128i	0.545513	−	1.21889i
$766$	−5.46203	−	3.15350i	−0.197351	−	0.113941i
$767$	15.4394	−	22.0861i	0.557486	−	0.797481i
$768$	12.8726	+	4.57246i	0.464501	+	0.164994i
$769$	21.6214	+	21.6214i	0.779689	+	0.779689i	0.979778	−	0.200089i	$-0.0641231\pi$
$769$	21.6214	+	21.6214i	0.779689	+	0.779689i	−0.200089	+	0.979778i	$0.564123\pi$
$770$	8.87631	+	4.14831i	0.319880	+	0.149495i
$771$	−5.94075	+	5.06394i	−0.213951	+	0.182373i
$772$	−2.51888	+	9.40059i	−0.0906565	+	0.338335i
$773$	1.41221	+	5.27044i	0.0507936	+	0.189564i	0.986661	−	0.162788i	$-0.0520486\pi$
$773$	1.41221	+	5.27044i	0.0507936	+	0.189564i	−0.935867	+	0.352352i	$0.885382\pi$
$774$	0.427908	+	4.14848i	0.0153808	+	0.149114i
$775$	−1.78051	−	0.477085i	−0.0639577	−	0.0171374i
$776$		−	20.9103i		−	0.750635i
$777$	−10.1969	+	39.1343i	−0.365810	+	1.40394i
$778$	−10.5941	+	10.5941i	−0.379817	+	0.379817i
$779$	−38.6513	−	66.9460i	−1.38483	−	2.39859i
$780$	−2.92815	−	30.4727i	−0.104845	−	1.09110i
$781$	2.54921	−	4.41537i	0.0912180	−	0.157994i
$782$	6.41915	+	1.72001i	0.229548	+	0.0615073i
$783$	−39.0935	+	23.8007i	−1.39709	+	0.850568i
$784$	2.01672	+	11.5526i	0.0720257	+	0.412593i
$785$	28.9492	−	28.9492i	1.03324	−	1.03324i
$786$	−7.63029	−	16.0371i	−0.272163	−	0.572026i
$787$	−2.50608	−	9.35280i	−0.0893320	−	0.333391i	0.906767	−	0.421632i	$-0.138542\pi$
$787$	−2.50608	−	9.35280i	−0.0893320	−	0.333391i	−0.996099	+	0.0882400i	$0.971876\pi$
$788$	−19.3666	+	5.18926i	−0.689906	+	0.184860i
$789$	−12.9450	+	36.4433i	−0.460853	+	1.29742i
$790$			3.33082i			0.118505i
$791$	0.824781	−	4.65435i	0.0293258	−	0.165489i
$792$	12.7000	+	2.03669i	0.451276	+	0.0723706i
$793$	−2.83406	−	1.02904i	−0.100641	−	0.0365423i
$794$	−14.5403	−	8.39486i	−0.516017	−	0.297922i
$795$	−5.14239	+	7.46673i	−0.182382	+	0.264818i
$796$	2.91674	+	5.05194i	0.103381	+	0.179061i
$797$	6.45586			0.228678			0.114339	−	0.993442i	$-0.463525\pi$
$797$	6.45586			0.228678			0.114339	+	0.993442i	$0.463525\pi$
$798$	19.2424	+	10.9331i	0.681173	+	0.387028i
$799$	−5.59816	−	5.59816i	−0.198049	−	0.198049i
$800$	−6.76521	+	25.2481i	−0.239186	+	0.892655i
$801$	−0.393184	−	3.81184i	−0.0138925	−	0.134685i
$802$	−2.07360	+	3.59157i	−0.0732212	+	0.126823i
$803$	0.866375	+	1.50061i	0.0305737	+	0.0529552i
$804$	−0.753933	+	9.46257i	−0.0265892	+	0.333719i
$805$	1.83023	+	21.1271i	0.0645070	+	0.744633i
$806$	0.716612	−	0.602251i	0.0252416	−	0.0212134i
$807$	3.65211	−	10.2816i	0.128561	−	0.361930i
$808$	22.5165	−	6.03329i	0.792129	−	0.212250i
$809$	−30.8257	−	17.7972i	−1.08377	−	0.625717i	−0.151862	−	0.988402i	$-0.548527\pi$
$809$	−30.8257	−	17.7972i	−1.08377	−	0.625717i	−0.931912	+	0.362685i	$0.881860\pi$
$810$	−17.5967	+	3.66918i	−0.618286	+	0.128922i
$811$	−26.3477	−	26.3477i	−0.925193	−	0.925193i	0.0721972	−	0.997390i	$-0.476999\pi$
$811$	−26.3477	−	26.3477i	−0.925193	−	0.925193i	−0.997390	+	0.0721972i	$0.976999\pi$
$812$	23.7470	−	28.2515i	0.833355	−	0.991435i
$813$	−1.09082	+	13.6908i	−0.0382567	+	0.480158i
$814$	−10.1983	−	2.73261i	−0.357449	−	0.0957780i
$815$	−11.8548	−	6.84436i	−0.415255	−	0.239747i
$816$	2.09232	+	11.3505i	0.0732460	+	0.397345i
$817$	15.5765	+	4.17370i	0.544951	+	0.146019i
$818$	3.28243			0.114768
$819$	−18.0548	+	22.2041i	−0.630886	+	0.775875i
$820$	−50.6277			−1.76800
$821$	14.8828	+	3.98784i	0.519414	+	0.139177i	0.508996	−	0.860769i	$-0.330017\pi$
$821$	14.8828	+	3.98784i	0.519414	+	0.139177i	0.0104187	+	0.999946i	$0.496684\pi$
$822$	−0.270145	−	1.46549i	−0.00942240	−	0.0511147i
$823$	−37.6532	−	21.7391i	−1.31251	−	0.757776i	−0.329996	−	0.943982i	$-0.607048\pi$
$823$	−37.6532	−	21.7391i	−1.31251	−	0.757776i	−0.982511	+	0.186206i	$0.940381\pi$
$824$	−33.4865	−	8.97268i	−1.16656	−	0.312578i
$825$	−1.16853	+	14.6662i	−0.0406831	+	0.510611i
$826$	12.5633	+	2.22630i	0.437133	+	0.0774628i
$827$	−1.62649	−	1.62649i	−0.0565587	−	0.0565587i	0.678262	−	0.734820i	$-0.262734\pi$
$827$	−1.62649	−	1.62649i	−0.0565587	−	0.0565587i	−0.734820	+	0.678262i	$0.762734\pi$
$828$	4.38655	+	11.4938i	0.152443	+	0.399436i
$829$	−46.0761	−	26.6021i	−1.60029	−	0.923928i	−0.991428	−	0.130652i	$-0.958293\pi$
$829$	−46.0761	−	26.6021i	−1.60029	−	0.923928i	−0.608862	−	0.793276i	$-0.708374\pi$
$830$	−27.9989	+	7.50228i	−0.971855	+	0.260408i
$831$	−10.9896	+	30.9386i	−0.381226	+	1.07325i
$832$	−0.767464	−	0.913197i	−0.0266070	−	0.0316594i
$833$	21.3590	−	17.8603i	0.740046	−	0.618824i
$834$	1.63824	−	20.5615i	0.0567277	−	0.711986i
$835$	32.8811	+	56.9518i	1.13790	+	1.97090i
$836$	10.9891	−	19.0337i	0.380067	−	0.658295i
$837$	1.51239	+	1.44357i	0.0522757	+	0.0498970i
$838$	5.02983	−	18.7716i	0.173753	−	0.648454i
$839$	−1.71823	−	1.71823i	−0.0593197	−	0.0593197i	0.676825	−	0.736144i	$-0.263356\pi$
$839$	−1.71823	−	1.71823i	−0.0593197	−	0.0593197i	−0.736144	+	0.676825i	$0.763356\pi$
$840$	28.2913	−	16.5956i	0.976144	−	0.572602i
$841$	−48.5842			−1.67532
$842$	7.03975	+	12.1932i	0.242606	+	0.420206i
$843$	−17.9722	+	26.0956i	−0.618997	+	0.898781i
$844$	−24.7724	−	14.3024i	−0.852703	−	0.492308i
$845$	−16.9497	+	36.4957i	−0.583087	+	1.25549i
$846$	−0.610099	+	3.80435i	−0.0209756	+	0.130796i
$847$	18.8066	−	6.82687i	0.646201	−	0.234574i
$848$		−	2.83306i		−	0.0972876i
$849$	−1.87040	+	5.26565i	−0.0641920	+	0.180717i
$850$	11.3568	−	3.04303i	0.389533	−	0.104375i
$851$	−5.91442	−	22.0729i	−0.202744	−	0.756650i
$852$	−3.24051	−	6.81082i	−0.111018	−	0.233335i
$853$	28.8383	−	28.8383i	0.987406	−	0.987406i	−0.0125158	−	0.999922i	$-0.503984\pi$
$853$	28.8383	−	28.8383i	0.987406	−	0.987406i	0.999922	+	0.0125158i	$0.00398399\pi$
$854$	−0.123209	−	1.42225i	−0.00421612	−	0.0486685i
$855$	−11.0057	+	68.6274i	−0.376387	+	2.34701i
$856$	−0.380710	−	0.102011i	−0.0130124	−	0.00348666i
$857$	15.3031	−	26.5057i	0.522743	−	0.905418i	−0.476906	−	0.878954i	$-0.658242\pi$
$857$	15.3031	−	26.5057i	0.522743	−	0.905418i	0.999650	−	0.0264639i	$-0.00842470\pi$
$858$	−5.76419	−	4.75353i	−0.196786	−	0.162283i
$859$	10.3305	+	17.8929i	0.352471	+	0.610498i	0.986682	−	0.162662i	$-0.0520081\pi$
$859$	10.3305	+	17.8929i	0.352471	+	0.610498i	−0.634211	+	0.773160i	$0.718675\pi$
$860$	7.46799	−	7.46799i	0.254656	−	0.254656i
$861$	33.6967	+	33.2345i	1.14838	+	1.13263i
$862$		−	12.3296i		−	0.419947i
$863$	−23.0484	−	6.17579i	−0.784576	−	0.210226i	−0.155775	−	0.987793i	$-0.549787\pi$
$863$	−23.0484	−	6.17579i	−0.784576	−	0.210226i	−0.628801	+	0.777566i	$0.716454\pi$
$864$	20.4702	−	21.4461i	0.696411	−	0.729611i
$865$	−1.14660	−	4.27916i	−0.0389855	−	0.145496i
$866$	−0.856467	+	3.19638i	−0.0291039	+	0.108617i
$867$	−1.55492	+	1.32543i	−0.0528079	+	0.0450139i
$868$	−1.52733	−	0.713794i	−0.0518411	−	0.0242278i
$869$	−2.18653	−	2.18653i	−0.0741728	−	0.0741728i
$870$	−28.7128	−	10.1990i	−0.973457	−	0.345779i
$871$	7.14896	−	10.2266i	0.242233	−	0.346514i
$872$	29.1557	+	16.8330i	0.987336	+	0.570039i
$873$	−24.7621	−	11.0823i	−0.838070	−	0.375078i
$874$	−12.5056			−0.423009
$875$	−1.96475	−	2.81106i	−0.0664208	−	0.0950312i
$876$	2.55527	+	0.203592i	0.0863346	+	0.00687873i
$877$	8.50840	−	31.7538i	0.287308	−	1.07225i	−0.659828	−	0.751417i	$-0.729371\pi$
$877$	8.50840	−	31.7538i	0.287308	−	1.07225i	0.947136	−	0.320832i	$-0.103963\pi$
$878$	3.47601	−	0.931394i	0.117310	−	0.0314330i
$879$	28.2616	−	41.0357i	0.953239	−	1.38410i
$880$	−4.80762	−	8.32704i	−0.162065	−	0.280705i
$881$	20.9910			0.707204			0.353602	−	0.935396i	$-0.384957\pi$
$881$	20.9910			0.707204			0.353602	+	0.935396i	$0.384957\pi$
$882$	−13.1355	−	3.32590i	−0.442296	−	0.111989i
$883$		−	54.4965i		−	1.83395i	−0.398941	−	0.916977i	$-0.630622\pi$
$883$		−	54.4965i		−	1.83395i	0.398941	−	0.916977i	$-0.369378\pi$
$884$	7.75128	−	21.3477i	0.260704	−	0.718001i
$885$	7.26404	+	39.4060i	0.244178	+	1.32462i
$886$	−4.38027	+	1.17369i	−0.147158	+	0.0394309i
$887$	−30.2212	+	17.4482i	−1.01473	+	0.585853i	−0.912572	−	0.408915i	$-0.865907\pi$
$887$	−30.2212	+	17.4482i	−1.01473	+	0.585853i	−0.102155	+	0.994768i	$0.532574\pi$
$888$	−26.8983	+	22.9283i	−0.902648	+	0.769425i
$889$	−2.28315	+	12.8841i	−0.0765742	+	0.432118i
$890$	1.80396	−	1.80396i	0.0604690	−	0.0604690i
$891$	9.14277	−	13.9601i	0.306294	−	0.467679i
$892$	1.61314	+	6.02032i	0.0540120	+	0.201575i
$893$	12.9022	+	7.44907i	0.431755	+	0.249274i
$894$	0.293151	−	0.825294i	0.00980443	−	0.0276020i
$895$	−6.53563	+	6.53563i	−0.218462	+	0.218462i
$896$	−12.5436	+	26.8401i	−0.419053	+	0.896665i
$897$	2.67211	−	15.9487i	0.0892192	−	0.532511i
$898$	0.225706	+	0.390934i	0.00753189	+	0.0130456i
$899$	0.917279	+	3.42333i	0.0305930	+	0.114175i
$900$	16.8883	+	13.7301i	0.562944	+	0.457670i
$901$	−5.82497	+	3.36305i	−0.194058	+	0.112039i
$902$	−8.73715	+	8.73715i	−0.290915	+	0.290915i
$903$	−9.87289	+	0.0681845i	−0.328549	+	0.00226904i
$904$	2.92117	−	2.92117i	0.0971567	−	0.0971567i
$905$	0.111833	−	0.417366i	0.00371745	−	0.0138737i
$906$	−11.9026	+	2.19410i	−0.395436	+	0.0728940i
$907$	37.8809	+	21.8706i	1.25782	+	0.726201i	0.972650	−	0.232277i	$-0.0746177\pi$
$907$	37.8809	+	21.8706i	1.25782	+	0.726201i	0.285167	+	0.958478i	$0.407951\pi$
$908$	−4.45334	+	16.6201i	−0.147789	+	0.551557i
$909$	4.78891	−	29.8618i	0.158838	−	0.990455i
$910$	−19.0525	−	0.00155252i	−0.631584	−	5.14655e-5i
$911$			6.93486i			0.229762i	0.993379	+	0.114881i	$0.0366487\pi$
$911$			6.93486i			0.229762i	−0.993379	+	0.114881i	$0.963351\pi$
$912$	−9.33132	−	19.6123i	−0.308991	−	0.649429i
$913$	13.4550	−	23.3048i	0.445297	−	0.771277i
$914$	−6.70881	+	11.6200i	−0.221908	+	0.384356i
$915$	4.04846	−	1.92621i	0.133838	−	0.0636786i
$916$	2.99558	+	2.99558i	0.0989767	+	0.0989767i
$917$	39.5209	−	14.3463i	1.30509	−	0.473755i
$918$	−12.9580	−	3.15075i	−0.427678	−	0.103990i
$919$	21.3647	+	37.0047i	0.704755	+	1.22067i	0.966780	+	0.255611i	$0.0822766\pi$
$919$	21.3647	+	37.0047i	0.704755	+	1.22067i	−0.262024	+	0.965061i	$0.584390\pi$
$920$	−9.26688	+	16.0507i	−0.305520	+	0.529176i
$921$	8.24706	+	5.67981i	0.271750	+	0.187156i
$922$	−22.9033	+	13.2232i	−0.754281	+	0.435484i
$923$	−0.856461	+	9.87716i	−0.0281908	+	0.325111i
$924$	−3.39288	+	13.0214i	−0.111617	+	0.428374i
$925$	−28.5876	−	28.5876i	−0.939954	−	0.939954i
$926$	−0.728793	+	0.420769i	−0.0239496	+	0.0138273i
$927$	−28.3731	+	34.8995i	−0.931894	+	1.14625i
$928$	48.5439	−	13.0073i	1.59353	−	0.426985i
$929$	−11.7076	−	3.13705i	−0.384115	−	0.102923i	0.0615941	−	0.998101i	$-0.480382\pi$
$929$	−11.7076	−	3.13705i	−0.384115	−	0.102923i	−0.445709	+	0.895178i	$0.647048\pi$
$930$	−0.110550	+	1.38751i	−0.00362509	+	0.0454983i
$931$	−30.1249	+	42.8670i	−0.987303	+	1.40491i
$932$		−	24.2697i		−	0.794981i
$933$	40.7904	+	14.4891i	1.33542	+	0.474351i
$934$	−3.55042	−	13.2503i	−0.116173	−	0.433564i
$935$	−11.4140	+	19.7696i	−0.373278	+	0.646536i
$936$	−24.0507	+	6.86615i	−0.786122	+	0.224427i
$937$	54.1231			1.76813			0.884063	−	0.467368i	$-0.154798\pi$
$937$	54.1231			1.76813			0.884063	+	0.467368i	$0.154798\pi$
$938$	5.81721	+	1.03085i	0.189939	+	0.0336584i
$939$	18.6806	−	15.9235i	0.609618	−	0.519644i
$940$	8.45000	−	4.87861i	0.275609	−	0.159123i
$941$	8.36662	+	31.2246i	0.272744	+	1.01789i	0.957338	+	0.288970i	$0.0933127\pi$
$941$	8.36662	+	31.2246i	0.272744	+	1.01789i	−0.684594	+	0.728924i	$0.740021\pi$
$942$	−12.1738	−	8.38419i	−0.396645	−	0.273172i
$943$	−25.8323	−	6.92173i	−0.841214	−	0.225403i
$944$	−8.85386	−	8.85386i	−0.288169	−	0.288169i
$945$	−4.65844	−	42.2983i	−0.151539	−	1.37597i
$946$		−	2.57760i		−	0.0838050i
$947$	2.95472	−	11.0272i	0.0960154	−	0.358335i	−0.901156	−	0.433495i	$-0.857280\pi$
$947$	2.95472	−	11.0272i	0.0960154	−	0.358335i	0.997171	+	0.0751604i	$0.0239469\pi$
$948$	−4.49871	+	0.829285i	−0.146111	+	0.0269339i
$949$	−2.76158	−	1.93050i	−0.0896446	−	0.0626668i
$950$	−19.1608	+	11.0625i	−0.621657	+	0.358914i
$951$	2.15827	−	27.0884i	0.0699868	−	0.878400i
$952$	24.2428	−	2.10013i	0.785713	−	0.0680657i
$953$	−50.0278			−1.62056			−0.810280	−	0.586043i	$-0.800685\pi$
$953$	−50.0278			−1.62056			−0.810280	+	0.586043i	$0.800685\pi$
$954$	2.98781	+	1.33719i	0.0967338	+	0.0432931i
$955$	73.0124	−	19.5636i	2.36262	−	0.633063i
$956$	2.71064	−	0.726313i	0.0876682	−	0.0234906i
$957$	25.5438	−	12.1534i	0.825713	−	0.392865i
$958$	16.3570			0.528472
$959$	3.51465	−	0.304471i	0.113494	−	0.00983189i
$960$	1.76814	+	0.140877i	0.0570665	+	0.00454679i
$961$	−26.7066	+	15.4191i	−0.861503	+	0.497389i
$962$	20.2161	−	3.58072i	0.651792	−	0.115447i
$963$	−0.322575	+	0.396775i	−0.0103948	+	0.0127859i
$964$	5.80931	−	21.6807i	0.187105	−	0.698287i
$965$			19.0221i			0.612343i
$966$	7.38183	−	2.03270i	0.237507	−	0.0654010i
$967$	−11.7605	−	11.7605i	−0.378191	−	0.378191i	0.492258	−	0.870449i	$-0.336172\pi$
$967$	−11.7605	−	11.7605i	−0.378191	−	0.378191i	−0.870449	+	0.492258i	$0.836172\pi$
$968$	16.8901	+	4.52569i	0.542868	+	0.145461i
$969$	−29.2474	+	42.4672i	−0.939563	+	1.36424i
$970$	−4.67454	−	17.4456i	−0.150090	−	0.560145i
$971$	−20.3790	+	11.7658i	−0.653992	+	0.377583i	−0.789984	−	0.613127i	$-0.789911\pi$
$971$	−20.3790	+	11.7658i	−0.653992	+	0.377583i	0.135992	+	0.990710i	$0.456578\pi$
$972$	−9.33682	−	22.8532i	−0.299479	−	0.733016i
$973$	48.0819	+	8.52044i	1.54144	+	0.273153i
$974$	9.53079			0.305386
$975$	−10.0141	−	26.7999i	−0.320707	−	0.858283i
$976$	−0.700488	+	1.21328i	−0.0224221	+	0.0388362i
$977$	10.6577	+	39.7752i	0.340971	+	1.27252i	0.897249	+	0.441526i	$0.145563\pi$
$977$	10.6577	+	39.7752i	0.340971	+	1.27252i	−0.556277	+	0.830997i	$0.687771\pi$
$978$	−1.65430	+	4.65727i	−0.0528987	+	0.148923i
$979$			2.36843i			0.0756954i
$980$	14.4487	+	31.1238i	0.461546	+	0.994213i
$981$	35.3861	−	25.6050i	1.12979	−	0.817505i
$982$	−16.2146	−	4.34470i	−0.517430	−	0.138645i
$983$	32.8863	−	8.81186i	1.04891	−	0.281055i	0.307109	−	0.951674i	$-0.400638\pi$
$983$	32.8863	−	8.81186i	1.04891	−	0.281055i	0.741801	+	0.670620i	$0.233972\pi$
$984$	7.49865	+	40.6787i	0.239048	+	1.29679i
$985$	−33.9380	+	19.5941i	−1.08136	+	0.624321i
$986$	−15.9846	−	15.9846i	−0.509053	−	0.509053i
$987$	−8.82670	−	2.29989i	−0.280957	−	0.0732063i
$988$	−3.69202	+	42.5783i	−0.117459	+	1.35460i
$989$	4.83148	−	2.78946i	0.153632	−	0.0886995i
$990$	11.0511	−	1.13990i	0.351226	−	0.0362283i
$991$	−12.9548	+	22.4383i	−0.411522	+	0.712778i	−0.995056	−	0.0993110i	$-0.968336\pi$
$991$	−12.9548	+	22.4383i	−0.411522	+	0.712778i	0.583534	+	0.812089i	$0.301669\pi$
$992$	−1.14787	−	1.98817i	−0.0364449	−	0.0631244i
$993$	−16.9074	−	1.34710i	−0.536540	−	0.0427490i
$994$	−4.41242	+	1.60173i	−0.139954	+	0.0508038i
$995$	8.06231	+	8.06231i	0.255593	+	0.255593i
$996$	−17.1038	−	35.9483i	−0.541954	−	1.13907i
$997$	−24.9079	+	43.1417i	−0.788841	+	1.36631i	0.137837	+	0.990455i	$0.455985\pi$
$997$	−24.9079	+	43.1417i	−0.788841	+	1.36631i	−0.926677	+	0.375857i	$0.877348\pi$
$998$	7.67617	−	13.2955i	0.242985	−	0.420862i
$999$	12.8960	+	44.0050i	0.408013	+	1.39226i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cd.e.242.17	yes	112
3.2	odd	2	inner	273.2.cd.e.242.12	yes	112
7.2	even	3	inner	273.2.cd.e.86.12	yes	112
13.5	odd	4	inner	273.2.cd.e.200.17	yes	112
21.2	odd	6	inner	273.2.cd.e.86.17	yes	112
39.5	even	4	inner	273.2.cd.e.200.12	yes	112
91.44	odd	12	inner	273.2.cd.e.44.12	✓	112
273.44	even	12	inner	273.2.cd.e.44.17	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.e.44.12	✓	112	91.44	odd	12	inner
273.2.cd.e.44.17	yes	112	273.44	even	12	inner
273.2.cd.e.86.12	yes	112	7.2	even	3	inner
273.2.cd.e.86.17	yes	112	21.2	odd	6	inner
273.2.cd.e.200.12	yes	112	39.5	even	4	inner
273.2.cd.e.200.17	yes	112	13.5	odd	4	inner
273.2.cd.e.242.12	yes	112	3.2	odd	2	inner
273.2.cd.e.242.17	yes	112	1.1	even	1	trivial

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.cd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.623254 + 0.167000i) q^{2} +(0.313993 + 1.70335i) q^{3} +(-1.37149 - 0.791833i) q^{4} +(-2.98988 - 0.801137i) q^{5} +(-0.0887629 + 1.11406i) q^{6} +(-2.60516 - 0.461652i) q^{7} +(-1.63506 - 1.63506i) q^{8} +(-2.80282 + 1.06968i) q^{9} +O(q^{10})\)	\(q+(0.623254 + 0.167000i) q^{2} +(0.313993 + 1.70335i) q^{3} +(-1.37149 - 0.791833i) q^{4} +(-2.98988 - 0.801137i) q^{5} +(-0.0887629 + 1.11406i) q^{6} +(-2.60516 - 0.461652i) q^{7} +(-1.63506 - 1.63506i) q^{8} +(-2.80282 + 1.06968i) q^{9} +(-1.72966 - 0.998622i) q^{10} +(1.79099 - 0.479894i) q^{11} +(0.918130 - 2.58477i) q^{12} +(-2.76022 + 2.31973i) q^{13} +(-1.54658 - 0.722789i) q^{14} +(0.425815 - 5.34437i) q^{15} +(0.837665 + 1.45088i) q^{16} +(1.98874 - 3.44460i) q^{17} +(-1.92550 + 0.198612i) q^{18} +(-1.93721 + 7.22976i) q^{19} +(3.46624 + 3.46624i) q^{20} +(-0.0316476 - 4.58247i) q^{21} +1.19638 q^{22} +(1.29472 + 2.24251i) q^{23} +(2.27168 - 3.29848i) q^{24} +(3.96745 + 2.29061i) q^{25} +(-2.10772 + 0.984824i) q^{26} +(-2.70211 - 4.43831i) q^{27} +(3.20742 + 2.69601i) q^{28} -8.80819i q^{29} +(1.15790 - 3.25979i) q^{30} +(-0.388653 + 0.104139i) q^{31} +(1.47673 + 5.51122i) q^{32} +(1.37979 + 2.90000i) q^{33} +(1.81474 - 1.81474i) q^{34} +(7.41929 + 3.46738i) q^{35} +(4.69106 + 0.752299i) q^{36} +(-8.52423 - 2.28406i) q^{37} +(-2.41474 + 4.18246i) q^{38} +(-4.81801 - 3.97325i) q^{39} +(3.57873 + 6.19854i) q^{40} +(-7.30296 + 7.30296i) q^{41} +(0.745549 - 2.86132i) q^{42} -2.15449i q^{43} +(-2.83633 - 0.759992i) q^{44} +(9.23705 - 0.952785i) q^{45} +(0.432436 + 1.61387i) q^{46} +(0.515167 - 1.92263i) q^{47} +(-2.20834 + 1.88240i) q^{48} +(6.57375 + 2.40536i) q^{49} +(2.09020 + 2.09020i) q^{50} +(6.49182 + 2.30595i) q^{51} +(5.62247 - 0.995867i) q^{52} +(-1.46449 - 0.845522i) q^{53} +(-0.942901 - 3.21745i) q^{54} -5.73931 q^{55} +(3.50477 + 5.01443i) q^{56} +(-12.9231 - 1.02965i) q^{57} +(1.47097 - 5.48974i) q^{58} +(-7.21924 + 1.93439i) q^{59} +(-4.81585 + 6.99261i) q^{60} +(0.418120 + 0.724204i) q^{61} -0.259621 q^{62} +(7.79562 - 1.49277i) q^{63} +0.330842i q^{64} +(10.1112 - 4.72442i) q^{65} +(0.375656 + 2.03786i) q^{66} +(-3.34274 + 0.895685i) q^{67} +(-5.45510 + 3.14950i) q^{68} +(-3.41326 + 2.90949i) q^{69} +(4.04504 + 3.40008i) q^{70} +(1.94434 - 1.94434i) q^{71} +(6.33176 + 2.83378i) q^{72} +(0.241870 + 0.902673i) q^{73} +(-4.93132 - 2.84710i) q^{74} +(-2.65596 + 7.47720i) q^{75} +(8.38163 - 8.38163i) q^{76} +(-4.88737 + 0.423389i) q^{77} +(-2.33931 - 3.28095i) q^{78} +(-0.833854 - 1.44428i) q^{79} +(-1.34217 - 5.00904i) q^{80} +(6.71156 - 5.99625i) q^{81} +(-5.77120 + 3.33200i) q^{82} +(10.2624 - 10.2624i) q^{83} +(-3.58514 + 6.30989i) q^{84} +(-8.70570 + 8.70570i) q^{85} +(0.359801 - 1.34279i) q^{86} +(15.0035 - 2.76571i) q^{87} +(-3.71303 - 2.14372i) q^{88} +(-0.330604 + 1.23383i) q^{89} +(5.91614 + 0.948764i) q^{90} +(8.26174 - 4.76902i) q^{91} -4.10079i q^{92} +(-0.299420 - 0.629314i) q^{93} +(0.642160 - 1.11225i) q^{94} +(11.5840 - 20.0642i) q^{95} +(-8.92387 + 4.24587i) q^{96} +(6.39435 + 6.39435i) q^{97} +(3.69542 + 2.59697i) q^{98} +(-4.50648 + 3.26085i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Introduction

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