LMFDB - Embedded newform 91.2.ba.a.89.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(45,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 5]))

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

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

chi := DirichletCharacter("91.45");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.ba (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:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			89.6
Character	$\chi$	$=$	91.89
Dual form			91.2.ba.a.45.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.14693 + 1.14693i) q^{2} +(-0.445073 - 0.256963i) q^{3} +0.630890i q^{4} +(0.395109 + 1.47457i) q^{5} +(-0.215749 - 0.805186i) q^{6} +(0.0531605 + 2.64522i) q^{7} +(1.57027 - 1.57027i) q^{8} +(-1.36794 - 2.36934i) q^{9} +O(q^{10})$	\(q+(1.14693 + 1.14693i) q^{2} +(-0.445073 - 0.256963i) q^{3} +0.630890i q^{4} +(0.395109 + 1.47457i) q^{5} +(-0.215749 - 0.805186i) q^{6} +(0.0531605 + 2.64522i) q^{7} +(1.57027 - 1.57027i) q^{8} +(-1.36794 - 2.36934i) q^{9} +(-1.23806 + 2.14439i) q^{10} +(-0.745574 - 2.78252i) q^{11} +(0.162115 - 0.280792i) q^{12} +(-2.94467 - 2.08061i) q^{13} +(-2.97290 + 3.09485i) q^{14} +(0.203057 - 0.757819i) q^{15} +4.86376 q^{16} -6.21574 q^{17} +(1.14854 - 4.28639i) q^{18} +(2.23387 + 0.598564i) q^{19} +(-0.930289 + 0.249270i) q^{20} +(0.656063 - 1.19098i) q^{21} +(2.33623 - 4.04647i) q^{22} +5.62238i q^{23} +(-1.10239 + 0.295384i) q^{24} +(2.31189 - 1.33477i) q^{25} +(-0.991014 - 5.76363i) q^{26} +2.94782i q^{27} +(-1.66884 + 0.0335384i) q^{28} +(0.379237 + 0.656858i) q^{29} +(1.10206 - 0.636273i) q^{30} +(8.36292 + 2.24084i) q^{31} +(2.43784 + 2.43784i) q^{32} +(-0.383170 + 1.43001i) q^{33} +(-7.12901 - 7.12901i) q^{34} +(-3.87955 + 1.12354i) q^{35} +(1.49479 - 0.863019i) q^{36} +(-4.26298 + 4.26298i) q^{37} +(1.87558 + 3.24860i) q^{38} +(0.775953 + 1.68269i) q^{39} +(2.93590 + 1.69504i) q^{40} +(-1.94919 - 0.522283i) q^{41} +(2.11842 - 0.613507i) q^{42} +(-2.24252 - 1.29472i) q^{43} +(1.75546 - 0.470375i) q^{44} +(2.95327 - 2.95327i) q^{45} +(-6.44847 + 6.44847i) q^{46} +(-2.13395 + 0.571791i) q^{47} +(-2.16473 - 1.24981i) q^{48} +(-6.99435 + 0.281242i) q^{49} +(4.18246 + 1.12069i) q^{50} +(2.76646 + 1.59722i) q^{51} +(1.31263 - 1.85776i) q^{52} +(2.47328 + 4.28385i) q^{53} +(-3.38094 + 3.38094i) q^{54} +(3.80843 - 2.19880i) q^{55} +(4.23719 + 4.07023i) q^{56} +(-0.840427 - 0.840427i) q^{57} +(-0.318411 + 1.18833i) q^{58} +(-0.623268 - 0.623268i) q^{59} +(0.478100 + 0.128107i) q^{60} +(4.48249 - 2.58797i) q^{61} +(7.02159 + 12.1617i) q^{62} +(6.19470 - 3.74445i) q^{63} -4.13546i q^{64} +(1.90453 - 5.16418i) q^{65} +(-2.07959 + 1.20065i) q^{66} +(15.1664 - 4.06383i) q^{67} -3.92145i q^{68} +(1.44475 - 2.50237i) q^{69} +(-5.73818 - 3.16095i) q^{70} +(-10.3040 + 2.76095i) q^{71} +(-5.86855 - 1.57247i) q^{72} +(1.80076 - 6.72052i) q^{73} -9.77867 q^{74} -1.37195 q^{75} +(-0.377628 + 1.40933i) q^{76} +(7.32073 - 2.12012i) q^{77} +(-1.03997 + 2.81989i) q^{78} +(-4.24764 + 7.35713i) q^{79} +(1.92172 + 7.17194i) q^{80} +(-3.34634 + 5.79603i) q^{81} +(-1.63656 - 2.83460i) q^{82} +(-1.51432 + 1.51432i) q^{83} +(0.751374 + 0.413903i) q^{84} +(-2.45590 - 9.16553i) q^{85} +(-1.08706 - 4.05696i) q^{86} -0.389800i q^{87} +(-5.54006 - 3.19856i) q^{88} +(-5.91573 - 5.91573i) q^{89} +6.77438 q^{90} +(5.34712 - 7.89989i) q^{91} -3.54710 q^{92} +(-3.14630 - 3.14630i) q^{93} +(-3.10329 - 1.79169i) q^{94} +3.53049i q^{95} +(-0.458582 - 1.71145i) q^{96} +(-0.933928 - 3.48547i) q^{97} +(-8.34458 - 7.69945i) q^{98} +(-5.57284 + 5.57284i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	1.14693	+	1.14693i	0.811001	+	0.811001i	0.984784	−	0.173783i	$-0.0555992\pi$
$2$	1.14693	+	1.14693i	0.811001	+	0.811001i	−0.173783	+	0.984784i	$0.555599\pi$
$3$	−0.445073	−	0.256963i	−0.256963	−	0.148358i	0.365985	−	0.930621i	$-0.380732\pi$
$3$	−0.445073	−	0.256963i	−0.256963	−	0.148358i	−0.622948	+	0.782263i	$0.714065\pi$
$4$			0.630890i			0.315445i
$5$	0.395109	+	1.47457i	0.176698	+	0.659447i	0.996256	+	0.0864504i	$0.0275524\pi$
$5$	0.395109	+	1.47457i	0.176698	+	0.659447i	−0.819558	+	0.572996i	$0.805781\pi$
$6$	−0.215749	−	0.805186i	−0.0880791	−	0.328716i
$7$	0.0531605	+	2.64522i	0.0200928	+	0.999798i
$7$	0.0531605	+	2.64522i	0.0200928	+	0.999798i
$8$	1.57027	−	1.57027i	0.555175	−	0.555175i
$9$	−1.36794	−	2.36934i	−0.455980	−	0.789780i
$10$	−1.23806	+	2.14439i	−0.391509	+	0.678114i
$11$	−0.745574	−	2.78252i	−0.224799	−	0.838961i	−0.982485	−	0.186342i	$-0.940337\pi$
$11$	−0.745574	−	2.78252i	−0.224799	−	0.838961i	0.757686	−	0.652619i	$-0.226330\pi$
$12$	0.162115	−	0.280792i	0.0467987	−	0.0810577i
$13$	−2.94467	−	2.08061i	−0.816704	−	0.577057i
$13$	−2.94467	−	2.08061i	−0.816704	−	0.577057i
$14$	−2.97290	+	3.09485i	−0.794542	+	0.827132i
$15$	0.203057	−	0.757819i	0.0524291	−	0.195668i
$16$	4.86376			1.21594
$17$	−6.21574			−1.50754			−0.753769	−	0.657139i	$-0.771766\pi$
$17$	−6.21574			−1.50754			−0.753769	+	0.657139i	$0.771766\pi$
$18$	1.14854	−	4.28639i	0.270712	−	1.01031i
$19$	2.23387	+	0.598564i	0.512485	+	0.137320i	0.505788	−	0.862658i	$-0.331202\pi$
$19$	2.23387	+	0.598564i	0.512485	+	0.137320i	0.00669672	+	0.999978i	$0.497868\pi$
$20$	−0.930289	+	0.249270i	−0.208019	+	0.0557385i
$21$	0.656063	−	1.19098i	0.143165	−	0.259892i
$22$	2.33623	−	4.04647i	0.498086	−	0.862710i
$23$			5.62238i			1.17235i	0.810185	+	0.586174i	$0.199367\pi$
$23$			5.62238i			1.17235i	−0.810185	+	0.586174i	$0.800633\pi$
$24$	−1.10239	+	0.295384i	−0.225024	+	0.0602950i
$25$	2.31189	−	1.33477i	0.462378	−	0.266954i
$26$	−0.991014	−	5.76363i	−0.194354	−	1.13034i
$27$			2.94782i			0.567308i
$28$	−1.66884	+	0.0335384i	−0.315381	+	0.00633816i
$29$	0.379237	+	0.656858i	0.0704225	+	0.121975i	0.899087	−	0.437771i	$-0.144232\pi$
$29$	0.379237	+	0.656858i	0.0704225	+	0.121975i	−0.828664	+	0.559746i	$0.810899\pi$
$30$	1.10206	−	0.636273i	0.201207	−	0.116167i
$31$	8.36292	+	2.24084i	1.50202	+	0.402466i	0.913777	−	0.406215i	$-0.133152\pi$
$31$	8.36292	+	2.24084i	1.50202	+	0.402466i	0.588247	+	0.808682i	$0.299818\pi$
$32$	2.43784	+	2.43784i	0.430953	+	0.430953i
$33$	−0.383170	+	1.43001i	−0.0667013	+	0.248933i
$34$	−7.12901	−	7.12901i	−1.22261	−	1.22261i
$35$	−3.87955	+	1.12354i	−0.655763	+	0.189913i
$36$	1.49479	−	0.863019i	0.249132	−	0.143837i
$37$	−4.26298	+	4.26298i	−0.700830	+	0.700830i	−0.964589	−	0.263759i	$-0.915038\pi$
$37$	−4.26298	+	4.26298i	−0.700830	+	0.700830i	0.263759	+	0.964589i	$0.415038\pi$
$38$	1.87558	+	3.24860i	0.304259	+	0.526992i
$39$	0.775953	+	1.68269i	0.124252	+	0.269447i
$40$	2.93590	+	1.69504i	0.464207	+	0.268010i
$41$	−1.94919	−	0.522283i	−0.304412	−	0.0815669i	0.103380	−	0.994642i	$-0.467034\pi$
$41$	−1.94919	−	0.522283i	−0.304412	−	0.0815669i	−0.407792	+	0.913075i	$0.633701\pi$
$42$	2.11842	−	0.613507i	0.326880	−	0.0946661i
$43$	−2.24252	−	1.29472i	−0.341981	−	0.197443i	0.319167	−	0.947699i	$-0.396597\pi$
$43$	−2.24252	−	1.29472i	−0.341981	−	0.197443i	−0.661148	+	0.750256i	$0.729930\pi$
$44$	1.75546	−	0.470375i	0.264646	−	0.0709116i
$45$	2.95327	−	2.95327i	0.440247	−	0.440247i
$46$	−6.44847	+	6.44847i	−0.950775	+	0.950775i
$47$	−2.13395	+	0.571791i	−0.311269	+	0.0834043i	−0.411072	−	0.911603i	$-0.634845\pi$
$47$	−2.13395	+	0.571791i	−0.311269	+	0.0834043i	0.0998029	+	0.995007i	$0.468179\pi$
$48$	−2.16473	−	1.24981i	−0.312452	−	0.180394i
$49$	−6.99435	+	0.281242i	−0.999193	+	0.0401774i
$50$	4.18246	+	1.12069i	0.591488	+	0.158489i
$51$	2.76646	+	1.59722i	0.387382	+	0.223655i
$52$	1.31263	−	1.85776i	0.182030	−	0.257625i
$53$	2.47328	+	4.28385i	0.339732	+	0.588433i	0.984382	−	0.176045i	$-0.0563304\pi$
$53$	2.47328	+	4.28385i	0.339732	+	0.588433i	−0.644650	+	0.764477i	$0.722997\pi$
$54$	−3.38094	+	3.38094i	−0.460087	+	0.460087i
$55$	3.80843	−	2.19880i	0.513529	−	0.296486i
$56$	4.23719	+	4.07023i	0.566218	+	0.543908i
$57$	−0.840427	−	0.840427i	−0.111317	−	0.111317i
$58$	−0.318411	+	1.18833i	−0.0418094	+	0.156035i
$59$	−0.623268	−	0.623268i	−0.0811426	−	0.0811426i	0.665371	−	0.746513i	$-0.268274\pi$
$59$	−0.623268	−	0.623268i	−0.0811426	−	0.0811426i	−0.746513	+	0.665371i	$0.768274\pi$
$60$	0.478100	+	0.128107i	0.0617225	+	0.0165385i
$61$	4.48249	−	2.58797i	0.573924	−	0.331355i	−0.184791	−	0.982778i	$-0.559161\pi$
$61$	4.48249	−	2.58797i	0.573924	−	0.331355i	0.758715	+	0.651423i	$0.225828\pi$
$62$	7.02159	+	12.1617i	0.891742	+	1.54454i
$63$	6.19470	−	3.74445i	0.780459	−	0.471757i
$64$		−	4.13546i		−	0.516933i
$65$	1.90453	−	5.16418i	0.236228	−	0.640538i
$66$	−2.07959	+	1.20065i	−0.255980	+	0.147790i
$67$	15.1664	−	4.06383i	1.85287	−	0.496476i	0.853189	−	0.521602i	$-0.174665\pi$
$67$	15.1664	−	4.06383i	1.85287	−	0.496476i	0.999684	+	0.0251264i	$0.00799882\pi$
$68$		−	3.92145i		−	0.475545i
$69$	1.44475	−	2.50237i	0.173927	−	0.301250i
$70$	−5.73818	−	3.16095i	−0.685844	−	0.377805i
$71$	−10.3040	+	2.76095i	−1.22286	+	0.327665i	−0.811796	−	0.583941i	$-0.801510\pi$
$71$	−10.3040	+	2.76095i	−1.22286	+	0.327665i	−0.411066	+	0.911606i	$0.634843\pi$
$72$	−5.86855	−	1.57247i	−0.691615	−	0.185318i
$73$	1.80076	−	6.72052i	0.210763	−	0.786578i	−0.776852	−	0.629683i	$-0.783185\pi$
$73$	1.80076	−	6.72052i	0.210763	−	0.786578i	0.987615	−	0.156895i	$-0.0501484\pi$
$74$	−9.77867			−1.13675
$75$	−1.37195			−0.158419
$76$	−0.377628	+	1.40933i	−0.0433169	+	0.161661i
$77$	7.32073	−	2.12012i	0.834275	−	0.241611i
$78$	−1.03997	+	2.81989i	−0.117753	+	0.319290i
$79$	−4.24764	+	7.35713i	−0.477897	+	0.827742i	−0.999679	−	0.0253371i	$-0.991934\pi$
$79$	−4.24764	+	7.35713i	−0.477897	+	0.827742i	0.521782	+	0.853079i	$0.325267\pi$
$80$	1.92172	+	7.17194i	0.214854	+	0.801847i
$81$	−3.34634	+	5.79603i	−0.371815	+	0.644003i
$82$	−1.63656	−	2.83460i	−0.180727	−	0.313029i
$83$	−1.51432	+	1.51432i	−0.166218	+	0.166218i	−0.785315	−	0.619096i	$-0.787499\pi$
$83$	−1.51432	+	1.51432i	−0.166218	+	0.166218i	0.619096	+	0.785315i	$0.287499\pi$
$84$	0.751374	+	0.413903i	0.0819817	+	0.0451606i
$85$	−2.45590	−	9.16553i	−0.266379	−	0.994141i
$86$	−1.08706	−	4.05696i	−0.117221	−	0.437473i
$87$		−	0.389800i		−	0.0417909i
$88$	−5.54006	−	3.19856i	−0.590573	−	0.340967i
$89$	−5.91573	−	5.91573i	−0.627066	−	0.627066i	0.320263	−	0.947329i	$-0.396229\pi$
$89$	−5.91573	−	5.91573i	−0.627066	−	0.627066i	−0.947329	+	0.320263i	$0.896229\pi$
$90$	6.77438			0.714082
$91$	5.34712	−	7.89989i	0.560531	−	0.828134i
$92$	−3.54710			−0.369811
$93$	−3.14630	−	3.14630i	−0.326256	−	0.326256i
$94$	−3.10329	−	1.79169i	−0.320080	−	0.184798i
$95$			3.53049i			0.362221i
$96$	−0.458582	−	1.71145i	−0.0468038	−	0.174674i
$97$	−0.933928	−	3.48547i	−0.0948260	−	0.353896i	0.902167	−	0.431387i	$-0.141976\pi$
$97$	−0.933928	−	3.48547i	−0.0948260	−	0.353896i	−0.996993	+	0.0774914i	$0.975309\pi$
$98$	−8.34458	−	7.69945i	−0.842930	−	0.777762i
$99$	−5.57284	+	5.57284i	−0.560091	+	0.560091i
$100$	0.842092	+	1.45855i	0.0842092	+	0.145855i
$101$	9.84474	−	17.0516i	0.979589	−	1.69670i	0.315713	−	0.948855i	$-0.397756\pi$
$101$	9.84474	−	17.0516i	0.979589	−	1.69670i	0.663876	−	0.747843i	$-0.268910\pi$
$102$	1.34104	+	5.00482i	0.132783	+	0.495551i
$103$	−4.70130	+	8.14290i	−0.463233	+	0.802344i	−0.999120	−	0.0419464i	$-0.986644\pi$
$103$	−4.70130	+	8.14290i	−0.463233	+	0.802344i	0.535887	+	0.844290i	$0.319977\pi$
$104$	−7.89105	+	1.35681i	−0.773781	+	0.133046i
$105$	2.01539	+	0.496844i	0.196682	+	0.0484870i
$106$	−2.07659	+	7.74995i	−0.201697	+	0.752742i
$107$	0.0718412			0.00694515			0.00347258	−	0.999994i	$-0.498895\pi$
$107$	0.0718412			0.00694515			0.00347258	+	0.999994i	$0.498895\pi$
$108$	−1.85975			−0.178954
$109$	1.89580	−	7.07523i	0.181585	−	0.677684i	−0.813751	−	0.581214i	$-0.802578\pi$
$109$	1.89580	−	7.07523i	0.181585	−	0.677684i	0.995336	−	0.0964705i	$-0.0307553\pi$
$110$	6.88986	+	1.84613i	0.656922	+	0.176022i
$111$	2.99277	−	0.801910i	0.284061	−	0.0761139i
$112$	0.258560	+	12.8657i	0.0244316	+	1.21569i
$113$	−8.15754	+	14.1293i	−0.767396	+	1.32917i	0.171574	+	0.985171i	$0.445115\pi$
$113$	−8.15754	+	14.1293i	−0.767396	+	1.32917i	−0.938970	+	0.343998i	$0.888219\pi$
$114$		−	1.92782i		−	0.180557i
$115$	−8.29059	+	2.22146i	−0.773101	+	0.207152i
$116$	−0.414405	+	0.239257i	−0.0384765	+	0.0222144i
$117$	−0.901544	+	9.82307i	−0.0833478	+	0.908143i
$118$		−	1.42969i		−	0.131613i
$119$	−0.330432	−	16.4420i	−0.0302906	−	1.50723i
$120$	−0.871127	−	1.50884i	−0.0795227	−	0.137737i
$121$	2.33975	−	1.35085i	0.212704	−	0.122805i
$122$	8.10931	+	2.17288i	0.734182	+	0.196724i
$123$	0.733324	+	0.733324i	0.0661216	+	0.0661216i
$124$	−1.41372	+	5.27608i	−0.126956	+	0.473806i
$125$	8.27895	+	8.27895i	0.740492	+	0.740492i
$126$	11.3995	+	2.81026i	1.01555	+	0.250358i
$127$	14.9037	−	8.60464i	1.32249	−	0.763538i	0.338362	−	0.941016i	$-0.390127\pi$
$127$	14.9037	−	8.60464i	1.32249	−	0.763538i	0.984125	+	0.177478i	$0.0567937\pi$
$128$	9.61876	−	9.61876i	0.850186	−	0.850186i
$129$	0.665390	+	1.15249i	0.0585843	+	0.101471i
$130$	8.10731	−	3.73858i	0.711058	−	0.327895i
$131$	4.73734	+	2.73511i	0.413904	+	0.238967i	0.692466	−	0.721451i	$-0.256524\pi$
$131$	4.73734	+	2.73511i	0.413904	+	0.238967i	−0.278562	+	0.960418i	$0.589858\pi$
$132$	−0.902178	−	0.241738i	−0.0785245	−	0.0210406i
$133$	−1.46458	+	5.94089i	−0.126995	+	0.515141i
$134$	22.0557	+	12.7339i	1.90532	+	1.10004i
$135$	−4.34676	+	1.16471i	−0.374110	+	0.100242i
$136$	−9.76040	+	9.76040i	−0.836947	+	0.836947i
$137$	−1.24060	+	1.24060i	−0.105991	+	0.105991i	−0.758114	−	0.652122i	$-0.773879\pi$
$137$	−1.24060	+	1.24060i	−0.105991	+	0.105991i	0.652122	+	0.758114i	$0.273879\pi$
$138$	4.52706	−	1.21302i	0.385369	−	0.103259i
$139$	7.13953	+	4.12201i	0.605567	+	0.349624i	0.771228	−	0.636559i	$-0.219643\pi$
$139$	7.13953	+	4.12201i	0.605567	+	0.349624i	−0.165662	+	0.986183i	$0.552976\pi$
$140$	−0.708829	−	2.44757i	−0.0599070	−	0.206857i
$141$	1.09669	+	0.293858i	0.0923583	+	0.0247473i
$142$	−14.9846	−	8.65135i	−1.25748	−	0.726005i
$143$	−3.59387	+	9.74484i	−0.300534	+	0.814904i
$144$	−6.65333	−	11.5239i	−0.554444	−	0.960325i
$145$	−0.818741	+	0.818741i	−0.0679927	+	0.0679927i
$146$	9.77330	−	5.64262i	0.808844	−	0.466986i
$147$	3.18527	+	1.67212i	0.262716	+	0.137914i
$148$	−2.68947	−	2.68947i	−0.221073	−	0.221073i
$149$	1.15185	−	4.29875i	0.0943628	−	0.352167i	−0.902559	−	0.430566i	$-0.858314\pi$
$149$	1.15185	−	4.29875i	0.0943628	−	0.352167i	0.996922	+	0.0783988i	$0.0249807\pi$
$150$	−1.57352	−	1.57352i	−0.128478	−	0.128478i
$151$	−8.69443	−	2.32966i	−0.707542	−	0.189585i	−0.112936	−	0.993602i	$-0.536025\pi$
$151$	−8.69443	−	2.32966i	−0.707542	−	0.189585i	−0.594606	+	0.804017i	$0.702692\pi$
$152$	4.44769	−	2.56788i	0.360755	−	0.208282i
$153$	8.50276	+	14.7272i	0.687407	+	1.19062i
$154$	10.8280	+	5.96472i	0.872544	+	0.480651i
$155$			13.2171i			1.06162i
$156$	−1.06159	+	0.489541i	−0.0849956	+	0.0391946i
$157$	−4.21105	+	2.43125i	−0.336078	+	0.194035i	−0.658537	−	0.752549i	$-0.728824\pi$
$157$	−4.21105	+	2.43125i	−0.336078	+	0.194035i	0.322458	+	0.946584i	$0.395491\pi$
$158$	−13.3098	+	3.56636i	−1.05887	+	0.283724i
$159$		−	2.54217i		−	0.201607i
$160$	−2.63155	+	4.55797i	−0.208042	+	0.360339i
$161$	−14.8724	+	0.298889i	−1.17211	+	0.0235557i
$162$	−10.4856	+	2.80962i	−0.823830	+	0.220744i
$163$	6.17099	+	1.65351i	0.483349	+	0.129513i	0.492262	−	0.870447i	$-0.336170\pi$
$163$	6.17099	+	1.65351i	0.483349	+	0.129513i	−0.00891239	+	0.999960i	$0.502837\pi$
$164$	0.329503	−	1.22972i	0.0257299	−	0.0960252i
$165$	−2.26004			−0.175944
$166$	−3.47364			−0.269607
$167$	2.62064	−	9.78037i	0.202791	−	0.756828i	−0.787320	−	0.616544i	$-0.788532\pi$
$167$	2.62064	−	9.78037i	0.202791	−	0.756828i	0.990111	−	0.140283i	$-0.0448013\pi$
$168$	−0.839958	−	2.90035i	−0.0648042	−	0.223767i
$169$	4.34213	+	12.2534i	0.334010	+	0.942569i
$170$	7.69547	−	13.3289i	0.590215	−	1.02228i
$171$	−1.63760	−	6.11160i	−0.125230	−	0.467366i
$172$	0.816825	−	1.41478i	0.0622823	−	0.107876i
$173$	−8.82380	−	15.2833i	−0.670861	−	1.16197i	−0.977660	−	0.210192i	$-0.932591\pi$
$173$	−8.82380	−	15.2833i	−0.670861	−	1.16197i	0.306799	−	0.951774i	$-0.400742\pi$
$174$	0.447072	−	0.447072i	0.0338925	−	0.0338925i
$175$	3.65366	+	6.04449i	0.276190	+	0.456920i
$176$	−3.62629	−	13.5335i	−0.273342	−	1.02013i
$177$	0.117243	+	0.437557i	0.00881253	+	0.0328888i
$178$		−	13.5698i		−	1.01710i
$179$	−17.5138	−	10.1116i	−1.30904	−	0.755775i	−0.327105	−	0.944988i	$-0.606073\pi$
$179$	−17.5138	−	10.1116i	−1.30904	−	0.755775i	−0.981936	+	0.189213i	$0.939406\pi$
$180$	1.86319	+	1.86319i	0.138874	+	0.138874i
$181$	−17.4649			−1.29815			−0.649077	−	0.760722i	$-0.724845\pi$
$181$	−17.4649			−1.29815			−0.649077	+	0.760722i	$0.724845\pi$
$182$	15.1934	−	2.92784i	1.12621	−	0.217026i
$183$	−2.66005			−0.196636
$184$	8.82867	+	8.82867i	0.650858	+	0.650858i
$185$	−7.97040	−	4.60171i	−0.585995	−	0.338324i
$186$		−	7.21716i		−	0.529188i
$187$	4.63429	+	17.2954i	0.338893	+	1.26477i
$188$	−0.360737	−	1.34629i	−0.0263094	−	0.0981882i
$189$	−7.79762	+	0.156708i	−0.567194	+	0.0113988i
$190$	−4.04922	+	4.04922i	−0.293761	+	0.293761i
$191$	−0.0207944	−	0.0360170i	−0.00150463	−	0.00260610i	0.865272	−	0.501302i	$-0.167146\pi$
$191$	−0.0207944	−	0.0360170i	−0.00150463	−	0.00260610i	−0.866777	+	0.498696i	$0.833812\pi$
$192$	−1.06266	+	1.84058i	−0.0766910	+	0.132833i
$193$	3.23272	+	12.0647i	0.232696	+	0.868434i	0.979174	+	0.203024i	$0.0650769\pi$
$193$	3.23272	+	12.0647i	0.232696	+	0.868434i	−0.746478	+	0.665411i	$0.768256\pi$
$194$	2.92643	−	5.06873i	0.210106	−	0.363914i
$195$	−2.17466	+	1.80904i	−0.155731	+	0.129548i
$196$	−0.177433	−	4.41266i	−0.0126738	−	0.315190i
$197$	0.962573	−	3.59237i	0.0685805	−	0.255946i	−0.923121	−	0.384510i	$-0.874370\pi$
$197$	0.962573	−	3.59237i	0.0685805	−	0.255946i	0.991701	+	0.128565i	$0.0410369\pi$
$198$	−12.7833			−0.908469
$199$	−8.77707			−0.622190			−0.311095	−	0.950379i	$-0.600696\pi$
$199$	−8.77707			−0.622190			−0.311095	+	0.950379i	$0.600696\pi$
$200$	1.53434	−	5.72624i	0.108494	−	0.404907i
$201$	−7.79442	−	2.08851i	−0.549776	−	0.147312i
$202$	30.8482	−	8.26575i	2.17047	−	0.581576i
$203$	−1.71737	+	1.03808i	−0.120536	+	0.0728591i
$204$	−1.00767	+	1.74533i	−0.0705508	+	0.122198i
$205$		−	3.08057i		−	0.215156i
$206$	−14.7314	+	3.94726i	−1.02638	+	0.275019i
$207$	13.3213	−	7.69108i	0.925898	−	0.534567i
$208$	−14.3221	−	10.1196i	−0.993062	−	0.701666i
$209$		−	6.66206i		−	0.460824i
$210$	1.74166	+	2.88135i	0.120186	+	0.198832i
$211$	−3.33665	−	5.77924i	−0.229704	−	0.397859i	0.728016	−	0.685560i	$-0.240443\pi$
$211$	−3.33665	−	5.77924i	−0.229704	−	0.397859i	−0.957720	+	0.287701i	$0.907109\pi$
$212$	−2.70264	+	1.56037i	−0.185618	+	0.107167i
$213$	5.29551	+	1.41893i	0.362842	+	0.0972232i
$214$	0.0823968	+	0.0823968i	0.00563253	+	0.00563253i
$215$	1.02311	−	3.81830i	0.0697756	−	0.260406i
$216$	4.62888	+	4.62888i	0.314955	+	0.314955i
$217$	−5.48292	+	22.2409i	−0.372205	+	1.50981i
$218$	10.2891	−	5.94043i	0.696868	−	0.402337i
$219$	−2.52840	+	2.52840i	−0.170853	+	0.170853i
$220$	1.38720	+	2.40270i	0.0935249	+	0.161990i
$221$	18.3033	+	12.9325i	1.23121	+	0.869936i
$222$	4.35222	+	2.51276i	0.292102	+	0.168645i
$223$	−6.10027	−	1.63456i	−0.408505	−	0.109458i	0.0487142	−	0.998813i	$-0.484488\pi$
$223$	−6.10027	−	1.63456i	−0.408505	−	0.109458i	−0.457219	+	0.889354i	$0.651154\pi$
$224$	−6.31902	+	6.57821i	−0.422207	+	0.439525i
$225$	−6.32505	−	3.65177i	−0.421670	−	0.243451i
$226$	−25.5614	+	6.84915i	−1.70032	+	0.455599i
$227$	16.6512	−	16.6512i	1.10518	−	1.10518i	0.111402	−	0.993775i	$-0.464466\pi$
$227$	16.6512	−	16.6512i	1.10518	−	1.10518i	0.993775	−	0.111402i	$-0.0355343\pi$
$228$	0.530217	−	0.530217i	0.0351145	−	0.0351145i
$229$	18.2790	−	4.89785i	1.20791	−	0.323659i	0.401969	−	0.915653i	$-0.368326\pi$
$229$	18.2790	−	4.89785i	1.20791	−	0.323659i	0.805942	+	0.591995i	$0.201659\pi$
$230$	−12.0566	−	6.96086i	−0.794986	−	0.458985i
$231$	−3.80306	−	0.937548i	−0.250223	−	0.0616861i
$232$	1.62695	+	0.435940i	0.106814	+	0.0286209i
$233$	6.36747	+	3.67626i	0.417147	+	0.240840i	0.693856	−	0.720114i	$-0.255910\pi$
$233$	6.36747	+	3.67626i	0.417147	+	0.240840i	−0.276709	+	0.960954i	$0.589244\pi$
$234$	−12.3004	+	10.2324i	−0.804100	+	0.668910i
$235$	−1.68629	−	2.92074i	−0.110001	−	0.190528i
$236$	0.393214	−	0.393214i	0.0255960	−	0.0255960i
$237$	3.78102	−	2.18297i	0.245604	−	0.141799i
$238$	18.4788	−	19.2368i	1.19780	−	1.24693i
$239$	−4.08646	−	4.08646i	−0.264331	−	0.264331i	0.562480	−	0.826811i	$-0.309847\pi$
$239$	−4.08646	−	4.08646i	−0.264331	−	0.264331i	−0.826811	+	0.562480i	$0.809847\pi$
$240$	0.987620	−	3.68585i	0.0637506	−	0.237921i
$241$	20.3223	+	20.3223i	1.30907	+	1.30907i	0.922085	+	0.386988i	$0.126485\pi$
$241$	20.3223	+	20.3223i	1.30907	+	1.30907i	0.386988	+	0.922085i	$0.373515\pi$
$242$	4.23286	+	1.13419i	0.272098	+	0.0729086i
$243$	10.6374	−	6.14150i	0.682389	−	0.393977i
$244$	1.63272	+	2.82796i	0.104524	+	0.181041i
$245$	−3.17824	−	10.2025i	−0.203050	−	0.651815i
$246$			1.68214i			0.107249i
$247$	−5.33263	−	6.41038i	−0.339307	−	0.407883i
$248$	16.6508	−	9.61333i	1.05732	−	0.610447i
$249$	1.06311	−	0.284859i	0.0673718	−	0.0180522i
$250$			18.9907i			1.20108i
$251$	−9.72695	+	16.8476i	−0.613960	+	1.06341i	0.376606	+	0.926373i	$0.377091\pi$
$251$	−9.72695	+	16.8476i	−0.613960	+	1.06341i	−0.990566	+	0.137036i	$0.956242\pi$
$252$	2.36234	+	3.90817i	0.148813	+	0.246192i
$253$	15.6444	−	4.19190i	0.983554	−	0.263543i
$254$	26.9624	+	7.22454i	1.69177	+	0.453308i
$255$	−1.26215	+	4.71041i	−0.0790389	+	0.294977i
$256$	13.7931			0.862070
$257$	−25.2048			−1.57223			−0.786116	−	0.618080i	$-0.787911\pi$
$257$	−25.2048			−1.57223			−0.786116	+	0.618080i	$0.787911\pi$
$258$	−0.558668	+	2.08498i	−0.0347812	+	0.129805i
$259$	−11.5031	−	11.0499i	−0.714770	−	0.686607i
$260$	3.25803	+	1.20155i	0.202054	+	0.0745170i
$261$	1.03755	−	1.79708i	0.0642225	−	0.111237i
$262$	2.29642	+	8.57036i	0.141873	+	0.529479i
$263$	−15.6393	+	27.0881i	−0.964362	+	1.67032i	−0.253041	+	0.967455i	$0.581431\pi$
$263$	−15.6393	+	27.0881i	−0.964362	+	1.67032i	−0.711320	+	0.702868i	$0.751902\pi$
$264$	1.64382	+	2.84718i	0.101170	+	0.175232i
$265$	−5.33961	+	5.33961i	−0.328010	+	0.328010i
$266$	−8.49354	+	5.13401i	−0.520773	+	0.314787i
$267$	1.11281	+	4.15306i	0.0681027	+	0.254163i
$268$	2.56383	+	9.56834i	0.156611	+	0.584479i
$269$		−	9.01798i		−	0.549836i	−0.961468	−	0.274918i	$-0.911349\pi$
$269$		−	9.01798i		−	0.549836i	0.961468	−	0.274918i	$-0.0886507\pi$
$270$	−6.32126	−	3.64958i	−0.384700	−	0.222107i
$271$	2.40845	+	2.40845i	0.146303	+	0.146303i	0.776464	−	0.630161i	$-0.217011\pi$
$271$	2.40845	+	2.40845i	0.146303	+	0.146303i	−0.630161	+	0.776464i	$0.717011\pi$
$272$	−30.2318			−1.83308
$273$	−4.40984	+	2.14202i	−0.266896	+	0.129641i
$274$	−2.84575			−0.171918
$275$	−5.43770	−	5.43770i	−0.327906	−	0.327906i
$276$	1.57872	+	0.911475i	0.0950279	+	0.0548644i
$277$			4.02905i			0.242082i	0.992648	+	0.121041i	$0.0386232\pi$
$277$			4.02905i			0.242082i	−0.992648	+	0.121041i	$0.961377\pi$
$278$	3.46088	+	12.9162i	0.207570	+	0.774661i
$279$	−6.13066	−	22.8799i	−0.367033	−	1.36979i
$280$	−4.32768	+	7.85620i	−0.258629	+	0.469498i
$281$	−3.28511	+	3.28511i	−0.195973	+	0.195973i	−0.798271	−	0.602298i	$-0.794252\pi$
$281$	−3.28511	+	3.28511i	−0.195973	+	0.195973i	0.602298	+	0.798271i	$0.294252\pi$
$282$	0.920795	+	1.59486i	0.0548326	+	0.0949728i
$283$	0.514830	−	0.891711i	0.0306035	−	0.0530067i	−0.850318	−	0.526269i	$-0.823590\pi$
$283$	0.514830	−	0.891711i	0.0306035	−	0.0530067i	0.880921	+	0.473262i	$0.156924\pi$
$284$	−1.74186	−	6.50070i	−0.103360	−	0.385745i
$285$	0.907206	−	1.57133i	0.0537383	−	0.0930774i
$286$	−15.2985	+	7.05473i	−0.904622	+	0.417155i
$287$	1.27793	−	5.18379i	0.0754340	−	0.305989i
$288$	2.44126	−	9.11089i	0.143852	−	0.536864i
$289$	21.6354			1.27267
$290$	−1.87807			−0.110284
$291$	−0.479970	+	1.79127i	−0.0281364	+	0.105006i
$292$	4.23991	+	1.13608i	0.248122	+	0.0664840i
$293$	24.6989	−	6.61806i	1.44293	−	0.386631i	0.549369	−	0.835580i	$-0.314868\pi$
$293$	24.6989	−	6.61806i	1.44293	−	0.386631i	0.893558	+	0.448948i	$0.148201\pi$
$294$	1.73547	+	5.57107i	0.101215	+	0.324911i
$295$	0.672792	−	1.16531i	0.0391715	−	0.0678470i
$296$			13.3881i			0.778166i
$297$	8.20236	−	2.19782i	0.475949	−	0.127530i
$298$	6.25144	−	3.60927i	0.362136	−	0.209079i
$299$	11.6980	−	16.5561i	0.676512	−	0.957461i
$300$		−	0.865547i		−	0.0499724i
$301$	3.30560	−	6.00078i	0.190532	−	0.345879i
$302$	−7.29993	−	12.6438i	−0.420064	−	0.727571i
$303$	−8.76327	+	5.05947i	−0.503436	+	0.290659i
$304$	10.8650	+	2.91127i	0.623151	+	0.166973i
$305$	5.58721	+	5.58721i	0.319922	+	0.319922i
$306$	−7.13900	+	26.6431i	−0.408109	+	1.52309i
$307$	−14.0195	−	14.0195i	−0.800136	−	0.800136i	0.182981	−	0.983117i	$-0.441425\pi$
$307$	−14.0195	−	14.0195i	−0.800136	−	0.800136i	−0.983117	+	0.182981i	$0.941425\pi$
$308$	1.33756	+	4.61857i	0.0762148	+	0.263168i
$309$	4.18485	−	2.41612i	0.238068	−	0.137449i
$310$	−15.1590	+	15.1590i	−0.860975	+	0.860975i
$311$	3.20853	+	5.55733i	0.181939	+	0.315127i	0.942541	−	0.334091i	$-0.108429\pi$
$311$	3.20853	+	5.55733i	0.181939	+	0.315127i	−0.760602	+	0.649219i	$0.775096\pi$
$312$	3.86074	+	1.42383i	0.218572	+	0.0806085i
$313$	−21.8008	−	12.5867i	−1.23225	−	0.711441i	−0.264753	−	0.964316i	$-0.585291\pi$
$313$	−21.8008	−	12.5867i	−1.23225	−	0.711441i	−0.967499	+	0.252875i	$0.918624\pi$
$314$	−7.61824	−	2.04130i	−0.429922	−	0.115197i
$315$	7.96903	+	7.65504i	0.449004	+	0.431313i
$316$	−4.64154	−	2.67979i	−0.261107	−	0.150750i
$317$	23.2745	−	6.23639i	1.30723	−	0.350271i	0.463049	−	0.886333i	$-0.346755\pi$
$317$	23.2745	−	6.23639i	1.30723	−	0.350271i	0.844178	+	0.536062i	$0.180089\pi$
$318$	2.91569	−	2.91569i	0.163504	−	0.163504i
$319$	1.54497	−	1.54497i	0.0865017	−	0.0865017i
$320$	6.09802	−	1.63396i	0.340890	−	0.0913411i
$321$	−0.0319746	−	0.0184606i	−0.00178465	−	0.00103037i
$322$	−17.4004	−	16.7148i	−0.969687	−	0.931480i
$323$	−13.8852	−	3.72052i	−0.772591	−	0.207015i
$324$	−3.65665	−	2.11117i	−0.203147	−	0.117287i
$325$	−9.58488	−	0.879683i	−0.531673	−	0.0487960i
$326$	5.18123	+	8.97415i	0.286962	+	0.497032i
$327$	−2.66185	+	2.66185i	−0.147200	+	0.147200i
$328$	−3.88088	+	2.24063i	−0.214286	+	0.123718i
$329$	−1.62595	−	5.61437i	−0.0896417	−	0.309530i
$330$	−2.59210	−	2.59210i	−0.142691	−	0.142691i
$331$	−1.52989	+	5.70964i	−0.0840905	+	0.313830i	−0.995140	−	0.0984660i	$-0.968606\pi$
$331$	−1.52989	+	5.70964i	−0.0840905	+	0.313830i	0.911050	+	0.412296i	$0.135273\pi$
$332$	−0.955370	−	0.955370i	−0.0524328	−	0.0524328i
$333$	15.9320	+	4.26895i	0.873066	+	0.233937i
$334$	14.2231	−	8.21169i	0.778252	−	0.449324i
$335$	11.9848	+	20.7583i	0.654799	+	1.13414i
$336$	3.19093	−	5.79262i	0.174080	−	0.316013i
$337$		−	11.5318i		−	0.628179i	−0.949393	−	0.314089i	$-0.898301\pi$
$337$		−	11.5318i		−	0.628179i	0.949393	−	0.314089i	$-0.101699\pi$
$338$	−9.07366	+	19.0339i	−0.493542	+	1.03531i
$339$	7.26140	−	4.19237i	0.394385	−	0.227698i
$340$	5.78244	−	1.54940i	0.313597	−	0.0840280i
$341$		−	24.9407i		−	1.35061i
$342$	5.13136	−	8.88778i	0.277472	−	0.480596i
$343$	−1.11577	−	18.4866i	−0.0602459	−	0.998184i
$344$	−5.55442	+	1.48830i	−0.299474	+	0.0802439i
$345$	4.26075	+	1.14166i	0.229391	+	0.0614652i
$346$	7.40855	−	27.6491i	0.398286	−	1.48642i
$347$	9.07305			0.487067			0.243533	−	0.969893i	$-0.421693\pi$
$347$	9.07305			0.487067			0.243533	+	0.969893i	$0.421693\pi$
$348$	0.245921			0.0131827
$349$	−7.77792	+	29.0276i	−0.416342	+	1.55381i	0.365789	+	0.930698i	$0.380799\pi$
$349$	−7.77792	+	29.0276i	−0.416342	+	1.55381i	−0.782132	+	0.623113i	$0.785868\pi$
$350$	−2.74212	+	11.1231i	−0.146572	+	0.594554i
$351$	6.13326	−	8.68035i	0.327369	−	0.463323i
$352$	4.96574	−	8.60092i	0.264675	−	0.458431i
$353$	7.50007	+	27.9907i	0.399189	+	1.48979i	0.814527	+	0.580125i	$0.196996\pi$
$353$	7.50007	+	27.9907i	0.399189	+	1.48979i	−0.415338	+	0.909667i	$0.636337\pi$
$354$	−0.367377	+	0.636316i	−0.0195259	+	0.0338198i
$355$	−8.14242	−	14.1031i	−0.432155	−	0.748514i
$356$	3.73217	−	3.73217i	0.197805	−	0.197805i
$357$	−4.07792	+	7.40280i	−0.215826	+	0.391797i
$358$	−8.48978	−	31.6843i	−0.448699	−	1.67457i
$359$	2.28482	+	8.52708i	0.120588	+	0.450042i	0.999644	−	0.0266770i	$-0.00849258\pi$
$359$	2.28482	+	8.52708i	0.120588	+	0.450042i	−0.879056	+	0.476719i	$0.841826\pi$
$360$		−	9.27487i		−	0.488828i
$361$	−11.8226	−	6.82577i	−0.622241	−	0.359251i
$362$	−20.0310	−	20.0310i	−1.05280	−	1.05280i
$363$	−1.38848			−0.0728763
$364$	4.98396	+	3.37344i	0.261230	+	0.176816i
$365$	10.6214			0.555947
$366$	−3.05089	−	3.05089i	−0.159472	−	0.159472i
$367$	−11.5082	−	6.64427i	−0.600724	−	0.346828i	0.168602	−	0.985684i	$-0.446075\pi$
$367$	−11.5082	−	6.64427i	−0.600724	−	0.346828i	−0.769326	+	0.638856i	$0.779408\pi$
$368$			27.3459i			1.42550i
$369$	1.42890	+	5.33274i	0.0743858	+	0.277611i
$370$	−3.86364	−	14.4193i	−0.200861	−	0.749624i
$371$	−11.2002	+	6.77011i	−0.581488	+	0.351486i
$372$	1.98497	−	1.98497i	0.102916	−	0.102916i
$373$	4.12496	+	7.14464i	0.213582	+	0.369935i	0.952833	−	0.303495i	$-0.0981535\pi$
$373$	4.12496	+	7.14464i	0.213582	+	0.369935i	−0.739251	+	0.673430i	$0.764820\pi$
$374$	−14.5214	+	25.1518i	−0.750884	+	1.30057i
$375$	−1.55735	−	5.81212i	−0.0804214	−	0.300137i
$376$	−2.45302	+	4.24875i	−0.126505	+	0.219113i
$377$	0.249937	−	2.72327i	0.0128724	−	0.140256i
$378$	−9.12305	−	8.76358i	−0.469239	−	0.450750i
$379$	0.896568	−	3.34604i	0.0460536	−	0.171874i	−0.939069	−	0.343730i	$-0.888310\pi$
$379$	0.896568	−	3.34604i	0.0460536	−	0.171874i	0.985122	+	0.171855i	$0.0549762\pi$
$380$	−2.22735			−0.114261
$381$	−8.84430			−0.453107
$382$	0.0174592	−	0.0651586i	0.000893291	−	0.00333381i
$383$	33.2559	+	8.91088i	1.69930	+	0.455325i	0.972762	−	0.231806i	$-0.0744634\pi$
$383$	33.2559	+	8.91088i	1.69930	+	0.455325i	0.726534	+	0.687131i	$0.241130\pi$
$384$	−6.75272	+	1.80939i	−0.344598	+	0.0923348i
$385$	6.01876	+	9.95723i	0.306744	+	0.507468i
$386$	−10.1296	+	17.5450i	−0.515584	+	0.893018i
$387$			7.08439i			0.360120i
$388$	2.19894	−	0.589205i	0.111635	−	0.0299124i
$389$	−8.07601	+	4.66269i	−0.409470	+	0.236408i	−0.690562	−	0.723273i	$-0.742637\pi$
$389$	−8.07601	+	4.66269i	−0.409470	+	0.236408i	0.281092	+	0.959681i	$0.409303\pi$
$390$	−4.56902	−	0.419337i	−0.231362	−	0.0212340i
$391$		−	34.9473i		−	1.76736i
$392$	−10.5414	+	11.4247i	−0.532421	+	0.577032i
$393$	−1.40564	−	2.43465i	−0.0709053	−	0.122812i
$394$	5.22420	−	3.01619i	0.263191	−	0.151954i
$395$	−12.5269	−	3.35656i	−0.630295	−	0.168887i
$396$	−3.51584	−	3.51584i	−0.176678	−	0.176678i
$397$	−5.12022	+	19.1089i	−0.256977	+	0.959049i	0.710004	+	0.704198i	$0.248693\pi$
$397$	−5.12022	+	19.1089i	−0.256977	+	0.959049i	−0.966980	+	0.254852i	$0.917973\pi$
$398$	−10.0667	−	10.0667i	−0.504596	−	0.504596i
$399$	2.17844	−	2.26779i	0.109058	−	0.113532i
$400$	11.2445	−	6.49199i	0.562223	−	0.324600i
$401$	8.51496	−	8.51496i	0.425217	−	0.425217i	−0.461778	−	0.886995i	$-0.652788\pi$
$401$	8.51496	−	8.51496i	0.425217	−	0.425217i	0.886995	+	0.461778i	$0.152788\pi$
$402$	−6.54427	−	11.3350i	−0.326399	−	0.565339i
$403$	−19.9637	−	23.9985i	−0.994463	−	1.19545i
$404$	10.7577	+	6.21095i	0.535214	+	0.309006i
$405$	−9.86881	−	2.64434i	−0.490385	−	0.131398i
$406$	−3.16031	−	0.779094i	−0.156843	−	0.0386658i
$407$	15.0402	+	8.68346i	0.745514	+	0.430423i
$408$	6.85216	−	1.83603i	0.339232	−	0.0908970i
$409$	−13.7865	+	13.7865i	−0.681696	+	0.681696i	−0.960382	−	0.278686i	$-0.910101\pi$
$409$	−13.7865	+	13.7865i	−0.681696	+	0.681696i	0.278686	+	0.960382i	$0.410101\pi$
$410$	3.53319	−	3.53319i	0.174492	−	0.174492i
$411$	0.870943	−	0.233368i	0.0429605	−	0.0115112i
$412$	−5.13727	−	2.96600i	−0.253095	−	0.146125i
$413$	1.61555	−	1.68181i	0.0794959	−	0.0827566i
$414$	24.0998	+	6.45751i	1.18444	+	0.317369i
$415$	−2.83129	−	1.63465i	−0.138983	−	0.0802417i
$416$	−2.10644	−	12.2508i	−0.103277	−	0.600645i
$417$	−2.11841	−	3.66919i	−0.103739	−	0.179681i
$418$	7.64091	−	7.64091i	0.373729	−	0.373729i
$419$	−3.34749	+	1.93268i	−0.163536	+	0.0944174i	−0.579534	−	0.814948i	$-0.696765\pi$
$419$	−3.34749	+	1.93268i	−0.163536	+	0.0944174i	0.415999	+	0.909365i	$0.363432\pi$
$420$	−0.313454	+	1.27149i	−0.0152950	+	0.0620423i
$421$	3.65782	+	3.65782i	0.178271	+	0.178271i	0.790602	−	0.612331i	$-0.209768\pi$
$421$	3.65782	+	3.65782i	0.178271	+	0.178271i	−0.612331	+	0.790602i	$0.709768\pi$
$422$	2.80148	−	10.4553i	0.136374	−	0.508955i
$423$	4.27389	+	4.27389i	0.207803	+	0.207803i
$424$	10.6105	+	2.84309i	0.515293	+	0.138072i
$425$	−14.3701	+	8.29658i	−0.697052	+	0.402443i
$426$	4.44616	+	7.70097i	0.215417	+	0.373113i
$427$	7.08403	+	11.7196i	0.342820	+	0.567150i
$428$			0.0453239i			0.00219081i
$429$	4.10360	−	3.41368i	0.198124	−	0.164814i
$430$	5.55275	−	3.20588i	0.267778	−	0.154601i
$431$	9.71910	−	2.60423i	0.468153	−	0.125441i	−0.0170280	−	0.999855i	$-0.505420\pi$
$431$	9.71910	−	2.60423i	0.468153	−	0.125441i	0.485181	+	0.874414i	$0.338754\pi$
$432$			14.3375i			0.689812i
$433$	−3.80951	+	6.59826i	−0.183073	+	0.317092i	−0.942926	−	0.333004i	$-0.891938\pi$
$433$	−3.80951	+	6.59826i	−0.183073	+	0.317092i	0.759852	+	0.650096i	$0.225271\pi$
$434$	−31.7972	+	19.2201i	−1.52631	+	0.922596i
$435$	0.574786	−	0.154013i	0.0275589	−	0.00738438i
$436$	4.46369	+	1.19604i	0.213772	+	0.0572800i
$437$	−3.36536	+	12.5597i	−0.160987	+	0.600811i
$438$	−5.79978			−0.277124
$439$	22.3628			1.06732			0.533658	−	0.845700i	$-0.320817\pi$
$439$	22.3628			1.06732			0.533658	+	0.845700i	$0.320817\pi$
$440$	2.52756	−	9.43298i	0.120497	−	0.449700i
$441$	10.2342	+	16.1873i	0.487343	+	0.770823i
$442$	6.15988	+	35.8252i	0.292996	+	1.70403i
$443$	−12.8459	+	22.2497i	−0.610326	+	1.05712i	0.380859	+	0.924633i	$0.375628\pi$
$443$	−12.8459	+	22.2497i	−0.610326	+	1.05712i	−0.991185	+	0.132483i	$0.957705\pi$
$444$	0.505917	+	1.88811i	0.0240097	+	0.0896056i
$445$	6.38578	−	11.0605i	0.302715	−	0.524318i
$446$	−5.12185	−	8.87130i	−0.242527	−	0.420068i
$447$	−1.61727	+	1.61727i	−0.0764945	+	0.0764945i
$448$	10.9392	−	0.219843i	0.516828	−	0.0103866i
$449$	−0.821652	−	3.06645i	−0.0387761	−	0.144715i	0.943824	−	0.330449i	$-0.107200\pi$
$449$	−0.821652	−	3.06645i	−0.0387761	−	0.144715i	−0.982600	+	0.185735i	$0.940534\pi$
$450$	−3.06606	−	11.4427i	−0.144535	−	0.539414i
$451$			5.81305i			0.273726i
$452$	−8.91401	−	5.14650i	−0.419280	−	0.242071i
$453$	3.27102	+	3.27102i	0.153686	+	0.153686i
$454$	38.1954			1.79260
$455$	13.7616	+	4.76337i	0.645155	+	0.223310i
$456$	−2.63940			−0.123601
$457$	−23.2165	−	23.2165i	−1.08602	−	1.08602i	−0.995934	−	0.0900871i	$-0.971285\pi$
$457$	−23.2165	−	23.2165i	−1.08602	−	1.08602i	−0.0900871	−	0.995934i	$-0.528715\pi$
$458$	26.5822	+	15.3472i	1.24210	+	0.717129i
$459$		−	18.3229i		−	0.855239i
$460$	−1.40149	−	5.23045i	−0.0653450	−	0.243871i
$461$	−1.38662	−	5.17492i	−0.0645811	−	0.241020i	0.926088	−	0.377307i	$-0.123150\pi$
$461$	−1.38662	−	5.17492i	−0.0645811	−	0.241020i	−0.990669	+	0.136287i	$0.956483\pi$
$462$	−3.28653	−	5.43713i	−0.152903	−	0.252958i
$463$	−17.0182	+	17.0182i	−0.790903	+	0.790903i	−0.981641	−	0.190738i	$-0.938912\pi$
$463$	−17.0182	+	17.0182i	−0.790903	+	0.790903i	0.190738	+	0.981641i	$0.438912\pi$
$464$	1.84452	+	3.19480i	0.0856295	+	0.148315i
$465$	3.39630	−	5.88256i	0.157500	−	0.272797i
$466$	3.08663	+	11.5194i	0.142985	+	0.533628i
$467$	−3.73447	+	6.46829i	−0.172811	+	0.299317i	−0.939401	−	0.342819i	$-0.888618\pi$
$467$	−3.73447	+	6.46829i	−0.172811	+	0.299317i	0.766591	+	0.642136i	$0.221951\pi$
$468$	−6.19727	−	0.568775i	−0.286469	−	0.0262916i
$469$	11.5560	+	39.9024i	0.533605	+	1.84252i
$470$	1.41582	−	5.28393i	0.0653071	−	0.243729i
$471$	2.49897			0.115146
$472$	−1.95740			−0.0900967
$473$	−1.93062	+	7.20516i	−0.0887698	+	0.331294i
$474$	6.84028	+	1.83285i	0.314184	+	0.0841854i
$475$	5.96340	−	1.59789i	0.273620	−	0.0733162i
$476$	10.3731	−	0.208466i	0.475449	−	0.00955502i
$477$	6.76661	−	11.7201i	0.309822	−	0.536627i
$478$		−	9.37376i		−	0.428746i
$479$	−20.1369	+	5.39566i	−0.920078	+	0.246534i	−0.687619	−	0.726072i	$-0.741344\pi$
$479$	−20.1369	+	5.39566i	−0.920078	+	0.246534i	−0.232459	+	0.972606i	$0.574677\pi$
$480$	2.34246	−	1.35242i	0.106918	−	0.0617293i
$481$	21.4227	−	3.68347i	0.976789	−	0.167952i
$482$			46.6164i			2.12332i
$483$	6.69612	+	3.68864i	0.304684	+	0.167839i
$484$	0.852240	+	1.47612i	0.0387382	+	0.0670965i
$485$	4.77055	−	2.75428i	0.216620	−	0.125065i
$486$	19.2442	+	5.15647i	0.872934	+	0.233902i
$487$	−13.2023	−	13.2023i	−0.598255	−	0.598255i	0.341593	−	0.939848i	$-0.389034\pi$
$487$	−13.2023	−	13.2023i	−0.598255	−	0.598255i	−0.939848	+	0.341593i	$0.889034\pi$
$488$	2.97492	−	11.1025i	0.134668	−	0.502588i
$489$	−2.32165	−	2.32165i	−0.104989	−	0.104989i
$490$	8.05634	−	15.3468i	0.363948	−	0.693297i
$491$	26.9636	−	15.5675i	1.21685	−	0.702550i	0.252609	−	0.967569i	$-0.418711\pi$
$491$	26.9636	−	15.5675i	1.21685	−	0.702550i	0.964243	+	0.265019i	$0.0853781\pi$
$492$	−0.462646	+	0.462646i	−0.0208577	+	0.0208577i
$493$	−2.35724	−	4.08286i	−0.106165	−	0.183883i
$494$	1.23611	−	13.4684i	0.0556150	−	0.605972i
$495$	−10.4194	−	6.01565i	−0.468317	−	0.270383i
$496$	40.6752	+	10.8989i	1.82637	+	0.489374i
$497$	−7.85109	−	27.1096i	−0.352169	−	1.21603i
$498$	1.54602	+	0.892597i	0.0692790	+	0.0399982i
$499$	17.9002	−	4.79636i	0.801325	−	0.214714i	0.165159	−	0.986267i	$-0.447186\pi$
$499$	17.9002	−	4.79636i	0.801325	−	0.214714i	0.636166	+	0.771553i	$0.280519\pi$
$500$	−5.22310	+	5.22310i	−0.233584	+	0.233584i
$501$	−3.67957	+	3.67957i	−0.164391	+	0.164391i
$502$	−30.4791	+	8.16684i	−1.36035	+	0.364504i
$503$	−22.0368	−	12.7230i	−0.982573	−	0.567289i	−0.0795268	−	0.996833i	$-0.525341\pi$
$503$	−22.0368	−	12.7230i	−0.982573	−	0.567289i	−0.903046	+	0.429544i	$0.858674\pi$
$504$	3.84756	−	15.6072i	0.171384	−	0.695199i
$505$	29.0335	+	7.77950i	1.29197	+	0.346183i
$506$	22.7508	+	13.1352i	1.01140	+	0.583930i
$507$	1.21611	−	6.56943i	0.0540091	−	0.291759i
$508$	5.42858	+	9.40257i	0.240854	+	0.417172i
$509$	−17.5363	+	17.5363i	−0.777285	+	0.777285i	−0.979368	−	0.202084i	$-0.935229\pi$
$509$	−17.5363	+	17.5363i	−0.777285	+	0.777285i	0.202084	+	0.979368i	$0.435229\pi$
$510$	−6.85009	+	3.95490i	−0.303327	+	0.175126i
$511$	17.8730	+	4.40613i	0.790654	+	0.194916i
$512$	−3.41779	−	3.41779i	−0.151046	−	0.151046i
$513$	−1.76446	+	6.58505i	−0.0779027	+	0.290737i
$514$	−28.9081	−	28.9081i	−1.27508	−	1.27508i
$515$	−13.8648	−	3.71506i	−0.610955	−	0.163705i
$516$	−0.727094	+	0.419788i	−0.0320085	+	0.0184801i
$517$	3.18204	+	5.51145i	0.139946	+	0.242393i
$518$	−0.519839	−	25.8667i	−0.0228404	−	1.13652i
$519$			9.06957i			0.398110i
$520$	−5.11853	−	11.0998i	−0.224462	−	0.486758i
$521$	−3.53287	+	2.03970i	−0.154778	+	0.0893610i	−0.575389	−	0.817880i	$-0.695149\pi$
$521$	−3.53287	+	2.03970i	−0.154778	+	0.0893610i	0.420611	+	0.907241i	$0.361816\pi$
$522$	3.25112	−	0.871134i	0.142298	−	0.0381285i
$523$			29.4455i			1.28756i	0.765209	+	0.643781i	$0.222635\pi$
$523$			29.4455i			1.28756i	−0.765209	+	0.643781i	$0.777365\pi$
$524$	−1.72555	+	2.98874i	−0.0753810	+	0.130564i
$525$	−0.0729334	−	3.62910i	−0.00318307	−	0.158387i
$526$	−49.0053	+	13.1309i	−2.13673	+	0.572536i
$527$	−51.9817	−	13.9285i	−2.26436	−	0.606733i
$528$	−1.86365	+	6.95522i	−0.0811048	+	0.302687i
$529$	−8.61121			−0.374400
$530$	−12.2483			−0.532033
$531$	−0.624142	+	2.32933i	−0.0270854	+	0.101084i
$532$	−3.74805	−	0.923987i	−0.162498	−	0.0400599i
$533$	4.65304	+	5.59345i	0.201546	+	0.242279i
$534$	−3.48695	+	6.03957i	−0.150895	+	0.261358i
$535$	0.0283851	+	0.105935i	0.00122720	+	0.00457996i
$536$	17.4341	−	30.1967i	0.753038	−	1.30430i
$537$	5.19661	+	9.00079i	0.224250	+	0.388413i
$538$	10.3430	−	10.3430i	0.445917	−	0.445917i
$539$	5.99736	+	19.2522i	0.258325	+	0.829252i
$540$	−0.734804	−	2.74233i	−0.0316209	−	0.118011i
$541$	−9.74099	−	36.3539i	−0.418798	−	1.56298i	−0.777105	−	0.629371i	$-0.783312\pi$
$541$	−9.74099	−	36.3539i	−0.418798	−	1.56298i	0.358307	−	0.933604i	$-0.383354\pi$
$542$			5.52463i			0.237303i
$543$	7.77315	+	4.48783i	0.333578	+	0.192591i
$544$	−15.1530	−	15.1530i	−0.649678	−	0.649678i
$545$	11.1820			0.478982
$546$	−7.51451	−	2.60103i	−0.321592	−	0.111314i
$547$	−36.7251			−1.57025			−0.785125	−	0.619337i	$-0.787401\pi$
$547$	−36.7251			−1.57025			−0.785125	+	0.619337i	$0.787401\pi$
$548$	−0.782679	−	0.782679i	−0.0334344	−	0.0334344i
$549$	−12.2636	−	7.08037i	−0.523396	−	0.302183i
$550$		−	12.4733i		−	0.531864i
$551$	0.453995	+	1.69433i	0.0193408	+	0.0721810i
$552$	−1.66076	−	6.19805i	−0.0706867	−	0.263806i
$553$	−19.6870	−	10.8448i	−0.837177	−	0.461169i
$554$	−4.62103	+	4.62103i	−0.196329	+	0.196329i
$555$	2.36494	+	4.09620i	0.100386	+	0.173874i
$556$	−2.60053	+	4.50425i	−0.110287	+	0.191023i
$557$	−5.17843	−	19.3262i	−0.219417	−	0.818876i	−0.984565	−	0.175021i	$-0.944001\pi$
$557$	−5.17843	−	19.3262i	−0.219417	−	0.818876i	0.765148	−	0.643855i	$-0.222666\pi$
$558$	19.2102	−	33.2731i	0.813233	−	1.40856i
$559$	3.90967	+	8.47832i	0.165361	+	0.358595i
$560$	−18.8692	+	5.46462i	−0.797368	+	0.230922i
$561$	2.38168	−	8.88857i	0.100555	−	0.375276i
$562$	−7.53556			−0.317869
$563$	15.6920			0.661340			0.330670	−	0.943746i	$-0.392725\pi$
$563$	15.6920			0.661340			0.330670	+	0.943746i	$0.392725\pi$
$564$	−0.185392	+	0.691893i	−0.00780642	+	0.0291340i
$565$	−24.0577	−	6.44624i	−1.01211	−	0.271195i
$566$	1.61320	−	0.432256i	0.0678079	−	0.0181691i
$567$	−15.5096	−	8.54367i	−0.651344	−	0.358800i
$568$	−11.8447	+	20.5155i	−0.496991	+	0.860813i
$569$		−	5.07533i		−	0.212769i	−0.994325	−	0.106385i	$-0.966073\pi$
$569$		−	5.07533i		−	0.212769i	0.994325	−	0.106385i	$-0.0339275\pi$
$570$	2.84270	−	0.761699i	0.119068	−	0.0319041i
$571$	−17.5642	+	10.1407i	−0.735038	+	0.424374i	−0.820262	−	0.571988i	$-0.806173\pi$
$571$	−17.5642	+	10.1407i	−0.735038	+	0.424374i	0.0852246	+	0.996362i	$0.472839\pi$
$572$	−6.14792	−	2.26733i	−0.257057	−	0.0948020i
$573$			0.0213736i			0.000892895i
$574$	7.41113	−	4.47974i	0.309335	−	0.186981i
$575$	7.50459	+	12.9983i	0.312963	+	0.542068i
$576$	−9.79832	+	5.65706i	−0.408263	+	0.235711i
$577$	−25.2962	−	6.77811i	−1.05310	−	0.282176i	−0.309566	−	0.950878i	$-0.600184\pi$
$577$	−25.2962	−	6.77811i	−1.05310	−	0.282176i	−0.743531	+	0.668702i	$0.766850\pi$
$578$	24.8143	+	24.8143i	1.03214	+	1.03214i
$579$	1.66138	−	6.20036i	0.0690446	−	0.257678i
$580$	−0.516535	−	0.516535i	−0.0214480	−	0.0214480i
$581$	−4.08621	−	3.92521i	−0.169525	−	0.162845i
$582$	−2.60495	+	1.50397i	−0.107979	+	0.0623416i
$583$	10.0759	−	10.0759i	0.417301	−	0.417301i
$584$	−7.72537	−	13.3807i	−0.319678	−	0.553698i
$585$	−14.8410	+	2.55180i	−0.613599	+	0.105504i
$586$	35.9183	+	20.7375i	1.48377	+	0.856657i
$587$	1.75410	+	0.470009i	0.0723994	+	0.0193994i	0.294837	−	0.955548i	$-0.404735\pi$
$587$	1.75410	+	0.470009i	0.0723994	+	0.0193994i	−0.222438	+	0.974947i	$0.571401\pi$
$588$	−1.05492	+	2.00955i	−0.0435042	+	0.0828725i
$589$	17.3404	+	10.0115i	0.714498	+	0.412516i
$590$	2.10817	−	0.564883i	0.0867921	−	0.0232559i
$591$	−1.35152	+	1.35152i	−0.0555942	+	0.0555942i
$592$	−20.7341	+	20.7341i	−0.852166	+	0.852166i
$593$	30.9506	−	8.29320i	1.27099	−	0.340561i	0.440580	−	0.897713i	$-0.354773\pi$
$593$	30.9506	−	8.29320i	1.27099	−	0.340561i	0.830410	+	0.557153i	$0.188106\pi$
$594$	11.9283	+	6.88679i	0.489423	+	0.282568i
$595$	24.1143	−	6.98362i	0.988588	−	0.286301i
$596$	2.71203	+	0.726687i	0.111089	+	0.0297663i
$597$	3.90644	+	2.25538i	0.159880	+	0.0923067i
$598$	32.4054	−	5.57186i	1.32515	−	0.227850i
$599$	1.81349	+	3.14105i	0.0740970	+	0.128340i	0.900693	−	0.434456i	$-0.143059\pi$
$599$	1.81349	+	3.14105i	0.0740970	+	0.128340i	−0.826596	+	0.562795i	$0.809726\pi$
$600$	−2.15433	+	2.15433i	−0.0879501	+	0.0879501i
$601$	22.0032	−	12.7035i	0.897529	−	0.518189i	0.0211313	−	0.999777i	$-0.493273\pi$
$601$	22.0032	−	12.7035i	0.897529	−	0.518189i	0.876398	+	0.481588i	$0.159940\pi$
$602$	10.6737	−	3.09118i	0.435030	−	0.125987i
$603$	−30.3753	−	30.3753i	−1.23698	−	1.23698i
$604$	1.46976	−	5.48522i	0.0598037	−	0.223191i
$605$	2.91638	+	2.91638i	0.118568	+	0.118568i
$606$	−15.8537	−	4.24798i	−0.644012	−	0.172563i
$607$	3.52942	−	2.03771i	0.143255	−	0.0827081i	−0.426660	−	0.904412i	$-0.640310\pi$
$607$	3.52942	−	2.03771i	0.143255	−	0.0827081i	0.569914	+	0.821704i	$0.306976\pi$
$608$	3.98661	+	6.90502i	0.161679	+	0.280035i
$609$	1.03110	−	0.0207219i	0.0417825	−	0.000839696i
$610$			12.8162i			0.518915i
$611$	7.47345	+	2.75619i	0.302344	+	0.111503i
$612$	−9.29124	+	5.36430i	−0.375576	+	0.216839i
$613$	−22.4119	+	6.00524i	−0.905207	+	0.242550i	−0.681251	−	0.732050i	$-0.738564\pi$
$613$	−22.4119	+	6.00524i	−0.905207	+	0.242550i	−0.223956	+	0.974599i	$0.571897\pi$
$614$		−	32.1588i		−	1.29782i
$615$	−0.791593	+	1.37108i	−0.0319201	+	0.0552872i
$616$	8.16637	−	14.8247i	0.329032	−	0.597304i
$617$	0.685439	−	0.183663i	0.0275948	−	0.00739399i	−0.244995	−	0.969524i	$-0.578786\pi$
$617$	0.685439	−	0.183663i	0.0275948	−	0.00739399i	0.272590	+	0.962130i	$0.412120\pi$
$618$	7.57085	+	2.02860i	0.304544	+	0.0816023i
$619$	−3.54491	+	13.2298i	−0.142482	+	0.531751i	0.857372	+	0.514697i	$0.172095\pi$
$619$	−3.54491	+	13.2298i	−0.142482	+	0.531751i	−0.999855	+	0.0170541i	$0.994571\pi$
$620$	−8.33851			−0.334882
$621$	−16.5738			−0.665083
$622$	−2.69391	+	10.0538i	−0.108016	+	0.403121i
$623$	15.3339	−	15.9629i	0.614340	−	0.639539i
$624$	3.77405	+	8.18422i	0.151083	+	0.327631i
$625$	−2.26294	+	3.91952i	−0.0905174	+	0.156781i
$626$	−10.5679	−	39.4399i	−0.422378	−	1.57634i
$627$	−1.71190	+	2.96510i	−0.0683669	+	0.118415i
$628$	−1.53385	−	2.65671i	−0.0612073	−	0.106014i
$629$	26.4976	−	26.4976i	1.05653	−	1.05653i
$630$	0.360129	+	17.9197i	0.0143479	+	0.713938i
$631$	−0.371814	−	1.38763i	−0.0148017	−	0.0552407i	0.958130	−	0.286334i	$-0.0924365\pi$
$631$	−0.371814	−	1.38763i	−0.0148017	−	0.0552407i	−0.972932	+	0.231093i	$0.925770\pi$
$632$	4.88274	+	18.2226i	0.194225	+	0.724858i
$633$			3.42958i			0.136314i
$634$	33.8469	+	19.5415i	1.34423	+	0.776093i
$635$	18.5767	+	18.5767i	0.737194	+	0.737194i
$636$	1.60383			0.0635960
$637$	21.1812	+	13.7243i	0.839229	+	0.543778i
$638$	3.54394			0.140306
$639$	20.6369	+	20.6369i	0.816384	+	0.816384i
$640$	17.9840	+	10.3830i	0.710879	+	0.410426i
$641$			11.0407i			0.436083i	0.975939	+	0.218042i	$0.0699669\pi$
$641$			11.0407i			0.436083i	−0.975939	+	0.218042i	$0.930033\pi$
$642$	−0.0154997	−	0.0578455i	−0.000611723	−	0.00228298i
$643$	11.5604	+	43.1441i	0.455899	+	1.70144i	0.685431	+	0.728138i	$0.259614\pi$
$643$	11.5604	+	43.1441i	0.455899	+	1.70144i	−0.229532	+	0.973301i	$0.573719\pi$
$644$	−0.188566	−	9.38286i	−0.00743053	−	0.369736i
$645$	−1.43652	+	1.43652i	−0.0565630	+	0.0565630i
$646$	−11.6581	−	20.1924i	−0.458682	−	0.794461i
$647$	−5.20304	+	9.01192i	−0.204552	+	0.354295i	−0.949990	−	0.312280i	$-0.898907\pi$
$647$	−5.20304	+	9.01192i	−0.204552	+	0.354295i	0.745438	+	0.666575i	$0.232241\pi$
$648$	3.84668	+	14.3560i	0.151112	+	0.563957i
$649$	−1.26956	+	2.19895i	−0.0498347	+	0.0863163i
$650$	−9.98423	−	12.0021i	−0.391614	−	0.470761i
$651$	8.15538	−	8.48990i	0.319635	−	0.332745i
$652$	−1.04318	+	3.89321i	−0.0408542	+	0.152470i
$653$	−10.4386			−0.408493			−0.204246	−	0.978920i	$-0.565474\pi$
$653$	−10.4386			−0.408493			−0.204246	+	0.978920i	$0.565474\pi$
$654$	−6.10589			−0.238759
$655$	−2.16133	+	8.06620i	−0.0844502	+	0.315172i
$656$	−9.48038	−	2.54026i	−0.370146	−	0.0991804i
$657$	−18.3865	+	4.92666i	−0.717327	+	0.192207i
$658$	4.57443	−	8.30413i	0.178330	−	0.323729i
$659$	−3.86557	+	6.69537i	−0.150581	+	0.260815i	−0.931441	−	0.363892i	$-0.881448\pi$
$659$	−3.86557	+	6.69537i	−0.150581	+	0.260815i	0.780860	+	0.624706i	$0.214781\pi$
$660$		−	1.42584i		−	0.0555006i
$661$	43.2687	−	11.5938i	1.68296	−	0.450947i	0.714401	−	0.699737i	$-0.246699\pi$
$661$	43.2687	−	11.5938i	1.68296	−	0.450947i	0.968558	+	0.248790i	$0.0800328\pi$
$662$	−8.30322	+	4.79387i	−0.322714	+	0.186319i
$663$	−4.82312	−	10.4592i	−0.187315	−	0.406201i
$664$			4.75580i			0.184561i
$665$	−9.33892	+	0.187683i	−0.362148	+	0.00727802i
$666$	13.3766	+	23.1690i	0.518334	+	0.897780i
$667$	−3.69311	+	2.13222i	−0.142998	+	0.0825597i
$668$	6.17033	+	1.65334i	0.238737	+	0.0639695i
$669$	2.29505	+	2.29505i	0.0887316	+	0.0887316i
$670$	−10.0625	+	37.5539i	−0.388750	+	1.45083i
$671$	−10.5431	−	10.5431i	−0.407012	−	0.407012i
$672$	4.50278	−	1.30403i	0.173699	−	0.0503041i
$673$	−19.6804	+	11.3625i	−0.758625	+	0.437992i	−0.828802	−	0.559542i	$-0.810977\pi$
$673$	−19.6804	+	11.3625i	−0.758625	+	0.437992i	0.0701768	+	0.997535i	$0.477644\pi$
$674$	13.2262	−	13.2262i	0.509454	−	0.509454i
$675$	3.93466	+	6.81503i	0.151445	+	0.262311i
$676$	−7.73054	+	2.73941i	−0.297329	+	0.105362i
$677$	−7.56955	−	4.37028i	−0.290921	−	0.167964i	0.347436	−	0.937704i	$-0.387052\pi$
$677$	−7.56955	−	4.37028i	−0.290921	−	0.167964i	−0.638357	+	0.769740i	$0.720386\pi$
$678$	13.1367	+	3.51996i	0.504510	+	0.135183i
$679$	9.17017	−	2.65573i	0.351919	−	0.101918i
$680$	−18.2488	−	10.5359i	−0.699809	−	0.404035i
$681$	−11.6897	+	3.13226i	−0.447952	+	0.120028i
$682$	28.6052	−	28.6052i	1.09535	−	1.09535i
$683$	1.57793	−	1.57793i	0.0603777	−	0.0603777i	−0.676273	−	0.736651i	$-0.736406\pi$
$683$	1.57793	−	1.57793i	0.0603777	−	0.0603777i	0.736651	+	0.676273i	$0.236406\pi$
$684$	3.85575	−	1.03314i	0.147428	−	0.0395032i
$685$	−2.31951	−	1.33917i	−0.0886240	−	0.0511671i
$686$	19.9231	−	22.4825i	0.760668	−	0.858387i
$687$	−9.39407	−	2.51713i	−0.358406	−	0.0960346i
$688$	−10.9071	−	6.29720i	−0.415828	−	0.240078i
$689$	1.63002	−	17.7605i	0.0620990	−	0.676620i
$690$	3.57737	+	6.19618i	0.136188	+	0.235885i
$691$	−3.25857	+	3.25857i	−0.123962	+	0.123962i	−0.766366	−	0.642404i	$-0.777937\pi$
$691$	−3.25857	+	3.25857i	−0.123962	+	0.123962i	0.642404	+	0.766366i	$0.277937\pi$
$692$	9.64206	−	5.56685i	0.366536	−	0.211620i
$693$	−15.0376	−	14.4451i	−0.571232	−	0.548724i
$694$	10.4061	+	10.4061i	0.395012	+	0.395012i
$695$	−3.25729	+	12.1564i	−0.123556	+	0.461117i
$696$	−0.612091	−	0.612091i	−0.0232013	−	0.0232013i
$697$	12.1156	+	3.24638i	0.458913	+	0.122965i
$698$	−42.2133	+	24.3718i	−1.59780	+	0.922488i
$699$	−1.88933	−	3.27241i	−0.0714609	−	0.123774i
$700$	−3.81341	+	2.30505i	−0.144133	+	0.0871228i
$701$			10.7910i			0.407569i	0.979016	+	0.203784i	$0.0653242\pi$
$701$			10.7910i			0.407569i	−0.979016	+	0.203784i	$0.934676\pi$
$702$	16.9901	−	2.92133i	0.641252	−	0.110258i
$703$	−12.0746	+	6.97128i	−0.455403	+	0.262927i
$704$	−11.5070	+	3.08329i	−0.433686	+	0.116206i
$705$			1.73326i			0.0652782i
$706$	−23.5012	+	40.7053i	−0.884481	+	1.53197i
$707$	45.6285	+	25.1350i	1.71604	+	0.945300i
$708$	−0.276050	+	0.0739674i	−0.0103746	+	0.00277987i
$709$	−22.3737	−	5.99502i	−0.840262	−	0.225148i	−0.187076	−	0.982345i	$-0.559901\pi$
$709$	−22.3737	−	5.99502i	−0.840262	−	0.225148i	−0.653186	+	0.757198i	$0.726568\pi$
$710$	6.83646	−	25.5140i	0.256568	−	0.957524i
$711$	23.2421			0.871646
$712$	−18.5786			−0.696262
$713$	−12.5988	+	47.0195i	−0.471830	+	1.76090i
$714$	−13.1676	+	3.81340i	−0.492783	+	0.142713i
$715$	−15.7894	−	1.44912i	−0.590490	−	0.0541941i
$716$	6.37929	−	11.0493i	0.238405	−	0.412930i
$717$	0.768705	+	2.86885i	0.0287078	+	0.107139i
$718$	−7.15942	+	12.4005i	−0.267187	+	0.462782i
$719$	17.9493	+	31.0890i	0.669394	+	1.15942i	0.978074	+	0.208259i	$0.0667796\pi$
$719$	17.9493	+	31.0890i	0.669394	+	1.15942i	−0.308679	+	0.951166i	$0.599887\pi$
$720$	14.3640	−	14.3640i	0.535314	−	0.535314i
$721$	−21.7897	−	12.0031i	−0.811489	−	0.447018i
$722$	−5.73099	−	21.3883i	−0.213285	−	0.795991i
$723$	−3.82283	−	14.2670i	−0.142172	−	0.530595i
$724$		−	11.0184i		−	0.409496i
$725$	1.75351	+	1.01239i	0.0651236	+	0.0375991i
$726$	−1.59249	−	1.59249i	−0.0591027	−	0.0591027i
$727$	40.7770			1.51234			0.756168	−	0.654377i	$-0.227069\pi$
$727$	40.7770			1.51234			0.756168	+	0.654377i	$0.227069\pi$
$728$	−4.00854	−	20.8014i	−0.148566	−	0.770952i
$729$	13.7655			0.509832
$730$	12.1819	+	12.1819i	0.450874	+	0.450874i
$731$	13.9389	+	8.04764i	0.515549	+	0.297653i
$732$		−	1.67820i		−	0.0620279i
$733$	−6.43098	−	24.0007i	−0.237533	−	0.886487i	−0.976990	−	0.213283i	$-0.931584\pi$
$733$	−6.43098	−	24.0007i	−0.237533	−	0.886487i	0.739457	−	0.673204i	$-0.235082\pi$
$734$	−5.57860	−	20.8196i	−0.205910	−	0.768466i
$735$	−1.20712	+	5.35756i	−0.0445253	+	0.197617i
$736$	−13.7065	+	13.7065i	−0.505227	+	0.505227i
$737$	−22.6154	−	39.1710i	−0.833048	−	1.44288i
$738$	−4.47742	+	7.75512i	−0.164816	+	0.285470i
$739$	−10.9878	−	41.0071i	−0.404194	−	1.50847i	−0.805538	−	0.592544i	$-0.798124\pi$
$739$	−10.9878	−	41.0071i	−0.404194	−	1.50847i	0.401344	−	0.915927i	$-0.368543\pi$
$740$	2.90317	−	5.02844i	0.106723	−	0.184849i
$741$	0.726179	+	4.22338i	0.0266768	+	0.155150i
$742$	−20.6107	−	5.08105i	−0.756643	−	0.186531i
$743$	−6.30753	+	23.5400i	−0.231401	+	0.863600i	0.748337	+	0.663318i	$0.230852\pi$
$743$	−6.30753	+	23.5400i	−0.231401	+	0.863600i	−0.979738	+	0.200282i	$0.935814\pi$
$744$	−9.88108			−0.362258
$745$	6.79390			0.248909
$746$	−3.46336	+	12.9254i	−0.126802	+	0.473233i
$747$	5.65945	+	1.51644i	0.207068	+	0.0554838i
$748$	−10.9115	+	2.92373i	−0.398964	+	0.106902i
$749$	0.00381912	+	0.190036i	0.000139547	+	0.00694375i
$750$	4.87992	−	8.45226i	0.178189	−	0.308633i
$751$			28.4458i			1.03800i	0.854774	+	0.519001i	$0.173696\pi$
$751$			28.4458i			1.03800i	−0.854774	+	0.519001i	$0.826304\pi$
$752$	−10.3790	+	2.78105i	−0.378484	+	0.101415i
$753$	8.65841	−	4.99894i	0.315530	−	0.182171i
$754$	3.41006	−	2.83674i	0.124187	−	0.103308i
$755$		−	13.7410i		−	0.500086i
$756$	−0.0988652	−	4.91944i	−0.00359569	−	0.178918i
$757$	−26.0081	−	45.0474i	−0.945282	−	1.63728i	−0.755187	−	0.655510i	$-0.772454\pi$
$757$	−26.0081	−	45.0474i	−0.945282	−	1.63728i	−0.190095	−	0.981766i	$-0.560880\pi$
$758$	4.86597	−	2.80937i	0.176740	−	0.102041i
$759$	−8.04006	−	2.15433i	−0.291836	−	0.0781972i
$760$	5.54383	+	5.54383i	0.201096	+	0.201096i
$761$	1.53417	−	5.72561i	0.0556137	−	0.207553i	−0.932528	−	0.361098i	$-0.882402\pi$
$761$	1.53417	−	5.72561i	0.0556137	−	0.207553i	0.988142	+	0.153544i	$0.0490688\pi$
$762$	−10.1438	−	10.1438i	−0.367470	−	0.367470i
$763$	18.8163	+	4.63869i	0.681196	+	0.167932i
$764$	0.0227228	−	0.0131190i	0.000822080	−	0.000474628i
$765$	−18.3567	+	18.3567i	−0.663690	+	0.663690i
$766$	27.9220	+	48.3623i	1.00886	+	1.74740i
$767$	0.538541	+	3.13210i	0.0194456	+	0.113093i
$768$	−6.13895	−	3.54433i	−0.221520	−	0.127895i
$769$	0.310861	+	0.0832949i	0.0112099	+	0.00300369i	0.264420	−	0.964408i	$-0.414820\pi$
$769$	0.310861	+	0.0832949i	0.0112099	+	0.00300369i	−0.253210	+	0.967411i	$0.581486\pi$
$770$	−4.51715	+	18.3233i	−0.162787	+	0.660326i
$771$	11.2180	+	6.47670i	0.404005	+	0.233253i
$772$	−7.61148	+	2.03949i	−0.273943	+	0.0734028i
$773$	22.4820	−	22.4820i	0.808623	−	0.808623i	−0.175802	−	0.984425i	$-0.556252\pi$
$773$	22.4820	−	22.4820i	0.808623	−	0.808623i	0.984425	+	0.175802i	$0.0562520\pi$
$774$	−8.12529	+	8.12529i	−0.292057	+	0.292057i
$775$	22.3251	−	5.98200i	0.801942	−	0.214880i
$776$	−6.93965	−	4.00661i	−0.249119	−	0.143829i
$777$	2.28032	+	7.87389i	0.0818061	+	0.282474i
$778$	−14.6104	−	3.91484i	−0.523807	−	0.140354i
$779$	−4.04161	−	2.33343i	−0.144806	−	0.0836037i
$780$	−1.14131	−	1.37197i	−0.0408653	−	0.0491244i
$781$	15.3648	+	26.6126i	0.549796	+	0.952274i
$782$	40.0820	−	40.0820i	1.43333	−	1.43333i
$783$	−1.93630	+	1.11792i	−0.0691976	+	0.0399513i
$784$	−34.0188	+	1.36789i	−1.21496	+	0.0488533i
$785$	−5.24887	−	5.24887i	−0.187340	−	0.187340i
$786$	1.18019	−	4.40454i	0.0420960	−	0.157105i
$787$	23.7400	+	23.7400i	0.846239	+	0.846239i	0.989662	−	0.143423i	$-0.0458108\pi$
$787$	23.7400	+	23.7400i	0.846239	+	0.846239i	−0.143423	+	0.989662i	$0.545811\pi$
$788$	2.26639	+	0.607277i	0.0807368	+	0.0216334i
$789$	13.9213	−	8.03746i	0.495611	−	0.286141i
$790$	−10.5177	−	18.2172i	−0.374202	−	0.648137i
$791$	−37.8086	−	20.8273i	−1.34432	−	0.740535i
$792$			17.5017i			0.621897i
$793$	−18.5840	−	1.70561i	−0.659937	−	0.0605678i
$794$	−27.7891	+	16.0440i	−0.986198	+	0.569382i
$795$	3.74860	−	1.00444i	0.132949	−	0.0356237i
$796$		−	5.53736i		−	0.196267i
$797$	6.34434	−	10.9887i	0.224728	−	0.389240i	−0.731510	−	0.681831i	$-0.761184\pi$
$797$	6.34434	−	10.9887i	0.224728	−	0.389240i	0.956238	+	0.292591i	$0.0945173\pi$
$798$	5.09950	−	0.102484i	0.180520	−	0.00362789i
$799$	13.2641	−	3.55410i	0.469250	−	0.125735i
$800$	8.88996	+	2.38206i	0.314308	+	0.0842185i
$801$	−5.92402	+	22.1087i	−0.209315	+	0.781174i
$802$	19.5321			0.689703
$803$	−20.0426			−0.707287
$804$	1.31762	−	4.91742i	0.0464688	−	0.173424i
$805$	−6.31697	−	21.8123i	−0.222644	−	0.768783i
$806$	4.62759	−	50.4215i	0.163000	−	1.77602i
$807$	−2.31729	+	4.01366i	−0.0815724	+	0.141288i
$808$	−11.3167	−	42.2346i	−0.398121	−	1.48581i
$809$	21.4022	−	37.0698i	0.752463	−	1.30330i	−0.194163	−	0.980969i	$-0.562199\pi$
$809$	21.4022	−	37.0698i	0.752463	−	1.30330i	0.946626	−	0.322334i	$-0.104467\pi$
$810$	−8.28595	−	14.3517i	−0.291138	−	0.504267i
$811$	1.51360	−	1.51360i	0.0531496	−	0.0531496i	−0.680032	−	0.733182i	$-0.738034\pi$
$811$	1.51360	−	1.51360i	0.0531496	−	0.0531496i	0.733182	+	0.680032i	$0.238034\pi$
$812$	−0.654916	−	1.08347i	−0.0229830	−	0.0380224i
$813$	−0.453053	−	1.69082i	−0.0158893	−	0.0592995i
$814$	7.29072	+	27.2093i	0.255539	+	0.953686i
$815$			9.75286i			0.341628i
$816$	13.4554	+	7.76847i	0.471033	+	0.271951i
$817$	−4.23453	−	4.23453i	−0.148147	−	0.148147i
$818$	−31.6242			−1.10571
$819$	−26.0321	−	1.86258i	−0.909635	−	0.0650838i
$820$	1.94350			0.0678699
$821$	26.6039	+	26.6039i	0.928481	+	0.928481i	0.997608	−	0.0691268i	$-0.0220213\pi$
$821$	26.6039	+	26.6039i	0.928481	+	0.928481i	−0.0691268	+	0.997608i	$0.522021\pi$
$822$	1.26657	+	0.731252i	0.0441766	+	0.0255054i
$823$		−	44.4969i		−	1.55107i	−0.631308	−	0.775533i	$-0.717481\pi$
$823$		−	44.4969i		−	1.55107i	0.631308	−	0.775533i	$-0.282519\pi$
$824$	5.40424	+	20.1689i	0.188266	+	0.702616i
$825$	1.02289	+	3.81747i	0.0356124	+	0.132907i
$826$	3.78184	−	0.0760030i	0.131587	−	0.00264448i
$827$	12.3898	−	12.3898i	0.430835	−	0.430835i	−0.458077	−	0.888912i	$-0.651462\pi$
$827$	12.3898	−	12.3898i	0.430835	−	0.430835i	0.888912	+	0.458077i	$0.151462\pi$
$828$	4.85222	+	8.40430i	0.168626	+	0.292070i
$829$	−21.1381	+	36.6122i	−0.734155	+	1.27159i	0.220938	+	0.975288i	$0.429088\pi$
$829$	−21.1381	+	36.6122i	−0.734155	+	1.27159i	−0.955093	+	0.296306i	$0.904245\pi$
$830$	−1.37247	−	5.12212i	−0.0476390	−	0.177791i
$831$	1.03532	−	1.79322i	0.0359147	−	0.0622061i
$832$	−8.60428	+	12.1776i	−0.298300	+	0.422181i
$833$	43.4750	−	1.74813i	1.50632	−	0.0605690i
$834$	1.77864	−	6.63796i	0.0615891	−	0.229854i
$835$	15.4573			0.534920
$836$	4.20302			0.145365
$837$	−6.60558	+	24.6524i	−0.228322	+	0.852110i
$838$	−6.05597	−	1.62269i	−0.209200	−	0.0560550i
$839$	25.6907	−	6.88379i	0.886940	−	0.237655i	0.213541	−	0.976934i	$-0.431500\pi$
$839$	25.6907	−	6.88379i	0.886940	−	0.237655i	0.673399	+	0.739279i	$0.264834\pi$
$840$	3.94489	−	2.38453i	0.136112	−	0.0822742i
$841$	14.2124	−	24.6165i	0.490081	−	0.848846i
$842$			8.39052i			0.289156i
$843$	2.30626	−	0.617962i	0.0794320	−	0.0212837i
$844$	3.64606	−	2.10506i	0.125503	−	0.0724590i
$845$	−16.3529	+	11.2442i	−0.562555	+	0.386812i
$846$			9.80368i			0.337058i
$847$	3.69769	+	6.11733i	0.127054	+	0.210194i
$848$	12.0295	+	20.8356i	0.413093	+	0.715498i
$849$	−0.458274	+	0.264585i	−0.0157279	+	0.00908052i
$850$	−25.9971	−	6.96589i	−0.891691	−	0.238928i
$851$	−23.9681	−	23.9681i	−0.821616	−	0.821616i
$852$	−0.895186	+	3.34088i	−0.0306686	+	0.114457i
$853$	−0.950856	−	0.950856i	−0.0325567	−	0.0325567i	0.690641	−	0.723198i	$-0.257328\pi$
$853$	−0.950856	−	0.950856i	−0.0325567	−	0.0325567i	−0.723198	+	0.690641i	$0.757328\pi$
$854$	−5.31665	+	21.5664i	−0.181932	+	0.737987i
$855$	8.36494	−	4.82950i	0.286075	−	0.165165i
$856$	0.112810	−	0.112810i	0.00385578	−	0.00385578i
$857$	−21.1903	−	36.7026i	−0.723845	−	1.25374i	−0.959447	−	0.281887i	$-0.909040\pi$
$857$	−21.1903	−	36.7026i	−0.723845	−	1.25374i	0.235602	−	0.971850i	$-0.424294\pi$
$858$	8.62178	+	0.791292i	0.294343	+	0.0270142i
$859$	−5.83030	−	3.36613i	−0.198927	−	0.114851i	0.397228	−	0.917720i	$-0.369972\pi$
$859$	−5.83030	−	3.36613i	−0.198927	−	0.114851i	−0.596155	+	0.802869i	$0.703306\pi$
$860$	2.40893	+	0.645470i	0.0821437	+	0.0220103i
$861$	−1.90082	+	1.97878i	−0.0647797	+	0.0674368i
$862$	14.1340	+	8.16026i	0.481405	+	0.277939i
$863$	17.8200	−	4.77484i	0.606598	−	0.162537i	0.0575702	−	0.998341i	$-0.481665\pi$
$863$	17.8200	−	4.77484i	0.606598	−	0.162537i	0.549028	+	0.835804i	$0.314998\pi$
$864$	−7.18631	+	7.18631i	−0.244483	+	0.244483i
$865$	19.0499	−	19.0499i	0.647715	−	0.647715i
$866$	−11.9370	+	3.19850i	−0.405634	+	0.108689i
$867$	−9.62934	−	5.55950i	−0.327030	−	0.188811i
$868$	−14.0315	−	3.45912i	−0.476261	−	0.117410i
$869$	23.6383	+	6.33386i	0.801874	+	0.214861i
$870$	0.835881	+	0.482596i	0.0283390	+	0.0163615i
$871$	−53.1153	−	19.5888i	−1.79974	−	0.663740i
$872$	−8.13311	−	14.0870i	−0.275422	−	0.477045i
$873$	−6.98070	+	6.98070i	−0.236261	+	0.236261i
$874$	−18.2649	+	10.5452i	−0.617819	+	0.356698i
$875$	−21.4595	+	22.3397i	−0.725464	+	0.755221i
$876$	−1.59514	−	1.59514i	−0.0538948	−	0.0538948i
$877$	3.89991	−	14.5547i	0.131691	−	0.491476i	−0.868299	−	0.496041i	$-0.834787\pi$
$877$	3.89991	−	14.5547i	0.131691	−	0.491476i	0.999990	+	0.00456529i	$0.00145318\pi$
$878$	25.6485	+	25.6485i	0.865595	+	0.865595i
$879$	−12.6934	−	3.40120i	−0.428139	−	0.114719i
$880$	18.5233	−	10.6944i	0.624420	−	0.360509i
$881$	−22.3633	−	38.7344i	−0.753439	−	1.30500i	−0.946146	−	0.323739i	$-0.895060\pi$
$881$	−22.3633	−	38.7344i	−0.753439	−	1.30500i	0.192707	−	0.981256i	$-0.438273\pi$
$882$	−6.82774	+	30.3035i	−0.229902	+	1.02037i
$883$		−	46.5076i		−	1.56510i	−0.622585	−	0.782552i	$-0.713917\pi$
$883$		−	46.5076i		−	1.56510i	0.622585	−	0.782552i	$-0.286083\pi$
$884$	−8.15899	+	11.5474i	−0.274417	+	0.388380i
$885$	−0.598884	+	0.345766i	−0.0201313	+	0.0116228i
$886$	−40.2522	+	10.7855i	−1.35230	+	0.362347i
$887$			46.0518i			1.54627i	0.634244	+	0.773133i	$0.281312\pi$
$887$			46.0518i			1.54627i	−0.634244	+	0.773133i	$0.718688\pi$
$888$	3.44024	−	5.95867i	0.115447	−	0.199960i
$889$	23.5534	+	38.9660i	0.789957	+	1.30688i
$890$	20.0096	−	5.36156i	0.670724	−	0.179720i
$891$	18.6225	+	4.98988i	0.623877	+	0.167167i
$892$	1.03123	−	3.84860i	0.0345281	−	0.128861i
$893$	−5.10923			−0.170974
$894$	−3.70980			−0.124074
$895$	7.99036	−	29.8204i	0.267088	−	0.996787i
$896$	25.9550	+	24.9324i	0.867097	+	0.832932i
$897$	−9.46076	+	4.36271i	−0.315885	+	0.145667i
$898$	2.57462	−	4.45937i	0.0859161	−	0.148811i
$899$	1.69962	+	6.34305i	0.0566854	+	0.211553i
$900$	2.30386	−	3.99041i	0.0767954	−	0.133014i
$901$	−15.3733	−	26.6273i	−0.512158	−	0.887085i
$902$	−6.66715	+	6.66715i	−0.221992	+	0.221992i
$903$	−3.01321	+	1.82137i	−0.100273	+	0.0606114i
$904$	9.37724	+	34.9963i	0.311882	+	1.16396i
$905$	−6.90054	−	25.7532i	−0.229382	−	0.856064i
$906$			7.50325i			0.249279i
$907$	27.6067	+	15.9387i	0.916666	+	0.529237i	0.882570	−	0.470181i	$-0.155811\pi$
$907$	27.6067	+	15.9387i	0.916666	+	0.529237i	0.0340961	+	0.999419i	$0.489145\pi$
$908$	10.5051	+	10.5051i	0.348623	+	0.348623i
$909$	−53.8681			−1.78669
$910$	10.3203	+	21.2468i	0.342116	+	0.704326i
$911$	34.8516			1.15469			0.577343	−	0.816502i	$-0.304090\pi$
$911$	34.8516			1.15469			0.577343	+	0.816502i	$0.304090\pi$
$912$	−4.08763	−	4.08763i	−0.135355	−	0.135355i
$913$	5.34267	+	3.08459i	0.176817	+	0.102085i
$914$		−	53.2553i		−	1.76153i
$915$	−1.05101	−	3.92242i	−0.0347453	−	0.129671i
$916$	3.09000	+	11.5320i	0.102096	+	0.381029i
$917$	−6.98311	+	12.6767i	−0.230603	+	0.418621i
$918$	21.0150	−	21.0150i	0.693599	−	0.693599i
$919$	1.90511	+	3.29975i	0.0628439	+	0.108849i	0.895736	−	0.444587i	$-0.146650\pi$
$919$	1.90511	+	3.29975i	0.0628439	+	0.108849i	−0.832892	+	0.553436i	$0.813316\pi$
$920$	−9.53018	+	16.5068i	−0.314201	+	0.544212i
$921$	2.63721	+	9.84221i	0.0868991	+	0.324312i
$922$	4.34491	−	7.52561i	0.143092	−	0.247843i
$923$	36.0864	+	13.3085i	1.18780	+	0.438056i
$924$	0.591489	−	2.39931i	0.0194586	−	0.0789315i
$925$	−4.16544	+	15.5456i	−0.136959	+	0.511137i
$926$	−39.0373			−1.28285
$927$	25.7244			0.844900
$928$	−0.676794	+	2.52583i	−0.0222169	+	0.0829145i
$929$	36.3444	+	9.73846i	1.19242	+	0.319509i	0.799843	−	0.600210i	$-0.204916\pi$
$929$	36.3444	+	9.73846i	1.19242	+	0.319509i	0.392579	+	0.919718i	$0.371583\pi$
$930$	10.6422	−	2.85157i	0.348971	−	0.0935065i
$931$	−15.7928	−	3.55830i	−0.517588	−	0.116619i
$932$	−2.31931	+	4.01717i	−0.0759717	+	0.131587i
$933$		−	3.29789i		−	0.107968i
$934$	−11.7018	+	3.13550i	−0.382895	+	0.102597i
$935$	−23.6722	+	13.6672i	−0.774164	+	0.446964i
$936$	14.0092	+	16.8406i	0.457906	+	0.550451i
$937$		−	38.0350i		−	1.24255i	−0.783593	−	0.621275i	$-0.786615\pi$
$937$		−	38.0350i		−	1.24255i	0.783593	−	0.621275i	$-0.213385\pi$
$938$	−32.5114	+	59.0191i	−1.06153	+	1.92704i
$939$	6.46863	+	11.2040i	0.211096	+	0.365628i
$940$	1.84266	−	1.06386i	0.0601010	−	0.0346993i
$941$	−25.3679	−	6.79732i	−0.826971	−	0.221586i	−0.179579	−	0.983744i	$-0.557474\pi$
$941$	−25.3679	−	6.79732i	−0.826971	−	0.221586i	−0.647392	+	0.762157i	$0.724140\pi$
$942$	2.86614	+	2.86614i	0.0933838	+	0.0933838i
$943$	2.93648	−	10.9591i	0.0956248	−	0.356877i
$944$	−3.03143	−	3.03143i	−0.0986645	−	0.0986645i
$945$	−3.31199	−	11.4362i	−0.107739	−	0.372020i
$946$	−10.4781	+	6.04952i	−0.340672	+	0.196687i
$947$	−5.51091	+	5.51091i	−0.179081	+	0.179081i	−0.790955	−	0.611874i	$-0.790416\pi$
$947$	−5.51091	+	5.51091i	−0.179081	+	0.179081i	0.611874	+	0.790955i	$0.290416\pi$
$948$	1.37722	+	2.38541i	0.0447299	+	0.0774745i
$949$	−19.2854	+	16.0430i	−0.626031	+	0.520779i
$950$	8.67226	+	5.00693i	0.281365	+	0.162446i
$951$	−11.9614	−	3.20505i	−0.387875	−	0.103931i
$952$	−26.3372	−	25.2995i	−0.853595	−	0.819962i
$953$	−7.95143	−	4.59076i	−0.257572	−	0.148709i	0.365654	−	0.930751i	$-0.380845\pi$
$953$	−7.95143	−	4.59076i	−0.257572	−	0.148709i	−0.623227	+	0.782041i	$0.714179\pi$
$954$	21.2029	−	5.68131i	0.686470	−	0.183939i
$955$	0.0448934	−	0.0448934i	0.00145272	−	0.00145272i
$956$	2.57811	−	2.57811i	0.0833820	−	0.0833820i
$957$	−1.08462	+	0.290624i	−0.0350609	+	0.00939455i
$958$	−29.2840	−	16.9071i	−0.946124	−	0.546245i
$959$	−3.34759	−	3.21569i	−0.108099	−	0.103840i
$960$	−3.13393	−	0.839735i	−0.101147	−	0.0271023i
$961$	38.0702	+	21.9798i	1.22807	+	0.709027i
$962$	28.7949	+	20.3456i	0.928386	+	0.655968i
$963$	−0.0982745	−	0.170216i	−0.00316685	−	0.00548515i
$964$	−12.8211	+	12.8211i	−0.412940	+	0.412940i
$965$	−16.5129	+	9.53373i	−0.531569	+	0.306902i
$966$	3.44937	+	11.9106i	0.110982	+	0.383217i
$967$	29.3315	+	29.3315i	0.943237	+	0.943237i	0.998473	−	0.0552359i	$-0.0175911\pi$
$967$	29.3315	+	29.3315i	0.943237	+	0.943237i	−0.0552359	+	0.998473i	$0.517591\pi$
$968$	1.55283	−	5.79525i	0.0499099	−	0.186266i
$969$	5.22388	+	5.22388i	0.167815	+	0.167815i
$970$	8.63045	+	2.31252i	0.277107	+	0.0742506i
$971$	32.5158	−	18.7730i	1.04348	−	0.602455i	0.122665	−	0.992448i	$-0.460856\pi$
$971$	32.5158	−	18.7730i	1.04348	−	0.602455i	0.920818	+	0.389993i	$0.127522\pi$
$972$	3.87461	+	6.71102i	0.124278	+	0.215256i
$973$	−10.5241	+	19.1047i	−0.337386	+	0.612469i
$974$		−	30.2843i		−	0.970371i
$975$	4.03993	+	2.85448i	0.129381	+	0.0914166i
$976$	21.8017	−	12.5872i	0.697857	−	0.402908i
$977$	27.8219	−	7.45485i	0.890101	−	0.238502i	0.215341	−	0.976539i	$-0.430914\pi$
$977$	27.8219	−	7.45485i	0.890101	−	0.238502i	0.674760	+	0.738037i	$0.264247\pi$
$978$		−	5.32554i		−	0.170292i
$979$	−12.0500	+	20.8712i	−0.385120	+	0.667047i
$980$	6.43666	−	2.00512i	0.205612	−	0.0640512i
$981$	−19.3570	+	5.18669i	−0.618021	+	0.165598i
$982$	48.7801	+	13.0706i	1.55664	+	0.417099i
$983$	5.09738	−	19.0237i	0.162581	−	0.606762i	−0.835755	−	0.549102i	$-0.814970\pi$
$983$	5.09738	−	19.0237i	0.162581	−	0.606762i	0.998336	−	0.0576591i	$-0.0183637\pi$
$984$	2.30303			0.0734181
$985$	5.67752			0.180901
$986$	1.97916	−	7.38633i	0.0630293	−	0.235229i
$987$	−0.719018	+	2.91662i	−0.0228866	+	0.0928369i
$988$	4.04424	−	3.36430i	0.128665	−	0.107033i
$989$	7.27941	−	12.6083i	0.231472	−	0.400921i
$990$	−5.05080	−	18.8498i	−0.160525	−	0.599087i
$991$	−17.6102	+	30.5018i	−0.559407	+	0.968921i	0.438139	+	0.898907i	$0.355638\pi$
$991$	−17.6102	+	30.5018i	−0.559407	+	0.968921i	−0.997546	+	0.0700140i	$0.977696\pi$
$992$	14.9246	+	25.8502i	0.473858	+	0.820746i
$993$	2.14808	−	2.14808i	0.0681673	−	0.0681673i
$994$	22.0881	−	40.0974i	0.700593	−	1.27181i
$995$	−3.46790	−	12.9424i	−0.109940	−	0.410301i
$996$	0.179715	+	0.670705i	0.00569448	+	0.0212521i
$997$			36.6156i			1.15963i	0.814749	+	0.579814i	$0.196875\pi$
$997$			36.6156i			1.15963i	−0.814749	+	0.579814i	$0.803125\pi$
$998$	26.0314	+	15.0292i	0.824009	+	0.475742i
$999$	−12.5665	−	12.5665i	−0.397586	−	0.397586i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.ba.a.89.6	yes	28
3.2	odd	2		819.2.et.b.271.2		28
7.2	even	3		637.2.bd.b.440.6		28
7.3	odd	6		91.2.w.a.24.2	yes	28
7.4	even	3		637.2.x.a.570.2		28
7.5	odd	6		637.2.bd.a.440.6		28
7.6	odd	2		637.2.bb.a.362.6		28
13.6	odd	12		91.2.w.a.19.2	✓	28
21.17	even	6		819.2.gh.b.388.6		28
39.32	even	12		819.2.gh.b.19.6		28
91.6	even	12		637.2.x.a.19.2		28
91.19	even	12		637.2.bd.b.97.6		28
91.32	odd	12		637.2.bb.a.227.6		28
91.45	even	12	inner	91.2.ba.a.45.6	yes	28
91.58	odd	12		637.2.bd.a.97.6		28
273.227	odd	12		819.2.et.b.136.2		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.19.2	✓	28	13.6	odd	12
91.2.w.a.24.2	yes	28	7.3	odd	6
91.2.ba.a.45.6	yes	28	91.45	even	12	inner
91.2.ba.a.89.6	yes	28	1.1	even	1	trivial
637.2.x.a.19.2		28	91.6	even	12
637.2.x.a.570.2		28	7.4	even	3
637.2.bb.a.227.6		28	91.32	odd	12
637.2.bb.a.362.6		28	7.6	odd	2
637.2.bd.a.97.6		28	91.58	odd	12
637.2.bd.a.440.6		28	7.5	odd	6
637.2.bd.b.97.6		28	91.19	even	12
637.2.bd.b.440.6		28	7.2	even	3
819.2.et.b.136.2		28	273.227	odd	12
819.2.et.b.271.2		28	3.2	odd	2
819.2.gh.b.19.6		28	39.32	even	12
819.2.gh.b.388.6		28	21.17	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.ba (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.14693 + 1.14693i) q^{2} +(-0.445073 - 0.256963i) q^{3} +0.630890i q^{4} +(0.395109 + 1.47457i) q^{5} +(-0.215749 - 0.805186i) q^{6} +(0.0531605 + 2.64522i) q^{7} +(1.57027 - 1.57027i) q^{8} +(-1.36794 - 2.36934i) q^{9} +O(q^{10})\)	\(q+(1.14693 + 1.14693i) q^{2} +(-0.445073 - 0.256963i) q^{3} +0.630890i q^{4} +(0.395109 + 1.47457i) q^{5} +(-0.215749 - 0.805186i) q^{6} +(0.0531605 + 2.64522i) q^{7} +(1.57027 - 1.57027i) q^{8} +(-1.36794 - 2.36934i) q^{9} +(-1.23806 + 2.14439i) q^{10} +(-0.745574 - 2.78252i) q^{11} +(0.162115 - 0.280792i) q^{12} +(-2.94467 - 2.08061i) q^{13} +(-2.97290 + 3.09485i) q^{14} +(0.203057 - 0.757819i) q^{15} +4.86376 q^{16} -6.21574 q^{17} +(1.14854 - 4.28639i) q^{18} +(2.23387 + 0.598564i) q^{19} +(-0.930289 + 0.249270i) q^{20} +(0.656063 - 1.19098i) q^{21} +(2.33623 - 4.04647i) q^{22} +5.62238i q^{23} +(-1.10239 + 0.295384i) q^{24} +(2.31189 - 1.33477i) q^{25} +(-0.991014 - 5.76363i) q^{26} +2.94782i q^{27} +(-1.66884 + 0.0335384i) q^{28} +(0.379237 + 0.656858i) q^{29} +(1.10206 - 0.636273i) q^{30} +(8.36292 + 2.24084i) q^{31} +(2.43784 + 2.43784i) q^{32} +(-0.383170 + 1.43001i) q^{33} +(-7.12901 - 7.12901i) q^{34} +(-3.87955 + 1.12354i) q^{35} +(1.49479 - 0.863019i) q^{36} +(-4.26298 + 4.26298i) q^{37} +(1.87558 + 3.24860i) q^{38} +(0.775953 + 1.68269i) q^{39} +(2.93590 + 1.69504i) q^{40} +(-1.94919 - 0.522283i) q^{41} +(2.11842 - 0.613507i) q^{42} +(-2.24252 - 1.29472i) q^{43} +(1.75546 - 0.470375i) q^{44} +(2.95327 - 2.95327i) q^{45} +(-6.44847 + 6.44847i) q^{46} +(-2.13395 + 0.571791i) q^{47} +(-2.16473 - 1.24981i) q^{48} +(-6.99435 + 0.281242i) q^{49} +(4.18246 + 1.12069i) q^{50} +(2.76646 + 1.59722i) q^{51} +(1.31263 - 1.85776i) q^{52} +(2.47328 + 4.28385i) q^{53} +(-3.38094 + 3.38094i) q^{54} +(3.80843 - 2.19880i) q^{55} +(4.23719 + 4.07023i) q^{56} +(-0.840427 - 0.840427i) q^{57} +(-0.318411 + 1.18833i) q^{58} +(-0.623268 - 0.623268i) q^{59} +(0.478100 + 0.128107i) q^{60} +(4.48249 - 2.58797i) q^{61} +(7.02159 + 12.1617i) q^{62} +(6.19470 - 3.74445i) q^{63} -4.13546i q^{64} +(1.90453 - 5.16418i) q^{65} +(-2.07959 + 1.20065i) q^{66} +(15.1664 - 4.06383i) q^{67} -3.92145i q^{68} +(1.44475 - 2.50237i) q^{69} +(-5.73818 - 3.16095i) q^{70} +(-10.3040 + 2.76095i) q^{71} +(-5.86855 - 1.57247i) q^{72} +(1.80076 - 6.72052i) q^{73} -9.77867 q^{74} -1.37195 q^{75} +(-0.377628 + 1.40933i) q^{76} +(7.32073 - 2.12012i) q^{77} +(-1.03997 + 2.81989i) q^{78} +(-4.24764 + 7.35713i) q^{79} +(1.92172 + 7.17194i) q^{80} +(-3.34634 + 5.79603i) q^{81} +(-1.63656 - 2.83460i) q^{82} +(-1.51432 + 1.51432i) q^{83} +(0.751374 + 0.413903i) q^{84} +(-2.45590 - 9.16553i) q^{85} +(-1.08706 - 4.05696i) q^{86} -0.389800i q^{87} +(-5.54006 - 3.19856i) q^{88} +(-5.91573 - 5.91573i) q^{89} +6.77438 q^{90} +(5.34712 - 7.89989i) q^{91} -3.54710 q^{92} +(-3.14630 - 3.14630i) q^{93} +(-3.10329 - 1.79169i) q^{94} +3.53049i q^{95} +(-0.458582 - 1.71145i) q^{96} +(-0.933928 - 3.48547i) q^{97} +(-8.34458 - 7.69945i) q^{98} +(-5.57284 + 5.57284i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

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