LMFDB - Embedded newform 91.2.w.a.80.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(19,91)]

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([10, 5]))

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

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

chi := DirichletCharacter("91.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.w (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			80.3
Character	$\chi$	$=$	91.80
Dual form			91.2.w.a.33.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.320827 - 1.19734i) q^{2} +2.22531i q^{3} +(0.401352 - 0.231720i) q^{4} +(-0.674321 + 2.51660i) q^{5} +(2.66446 - 0.713939i) q^{6} +(2.64022 + 0.170970i) q^{7} +(-2.15924 - 2.15924i) q^{8} -1.95199 q^{9} +O(q^{10})$	\(q+(-0.320827 - 1.19734i) q^{2} +2.22531i q^{3} +(0.401352 - 0.231720i) q^{4} +(-0.674321 + 2.51660i) q^{5} +(2.66446 - 0.713939i) q^{6} +(2.64022 + 0.170970i) q^{7} +(-2.15924 - 2.15924i) q^{8} -1.95199 q^{9} +3.22957 q^{10} +(-0.999283 - 0.999283i) q^{11} +(0.515649 + 0.893131i) q^{12} +(-0.445209 - 3.57796i) q^{13} +(-0.642345 - 3.21610i) q^{14} +(-5.60021 - 1.50057i) q^{15} +(-1.42917 + 2.47540i) q^{16} +(1.41406 + 2.44923i) q^{17} +(0.626252 + 2.33720i) q^{18} +(-4.42425 - 4.42425i) q^{19} +(0.312508 + 1.16630i) q^{20} +(-0.380461 + 5.87530i) q^{21} +(-0.875887 + 1.51708i) q^{22} +(0.882253 + 0.509369i) q^{23} +(4.80498 - 4.80498i) q^{24} +(-1.54845 - 0.893996i) q^{25} +(-4.14121 + 1.68097i) q^{26} +2.33214i q^{27} +(1.09927 - 0.543174i) q^{28} +(-2.66549 - 4.61676i) q^{29} +7.18680i q^{30} +(-6.46023 + 1.73101i) q^{31} +(-2.47675 - 0.663644i) q^{32} +(2.22371 - 2.22371i) q^{33} +(2.47890 - 2.47890i) q^{34} +(-2.21062 + 6.52910i) q^{35} +(-0.783435 + 0.452317i) q^{36} +(8.89183 - 2.38256i) q^{37} +(-3.87792 + 6.71676i) q^{38} +(7.96206 - 0.990727i) q^{39} +(6.88998 - 3.97793i) q^{40} +(2.51937 - 9.40242i) q^{41} +(7.15681 - 1.42941i) q^{42} +(0.850246 + 0.490890i) q^{43} +(-0.632618 - 0.169509i) q^{44} +(1.31627 - 4.91239i) q^{45} +(0.326839 - 1.21978i) q^{46} +(2.21910 + 0.594605i) q^{47} +(-5.50852 - 3.18034i) q^{48} +(6.94154 + 0.902797i) q^{49} +(-0.573636 + 2.14084i) q^{50} +(-5.45029 + 3.14673i) q^{51} +(-1.00777 - 1.33286i) q^{52} +(-2.52978 + 4.38171i) q^{53} +(2.79237 - 0.748213i) q^{54} +(3.18863 - 1.84096i) q^{55} +(-5.33172 - 6.07005i) q^{56} +(9.84531 - 9.84531i) q^{57} +(-4.67268 + 4.67268i) q^{58} +(-7.36837 - 1.97435i) q^{59} +(-2.59537 + 0.695426i) q^{60} +7.79680i q^{61} +(4.14523 + 7.17976i) q^{62} +(-5.15369 - 0.333732i) q^{63} +8.89512i q^{64} +(9.30451 + 1.29228i) q^{65} +(-3.37597 - 1.94912i) q^{66} +(-9.24089 + 9.24089i) q^{67} +(1.13507 + 0.655335i) q^{68} +(-1.13350 + 1.96328i) q^{69} +(8.52679 + 0.552160i) q^{70} +(2.97420 + 11.0999i) q^{71} +(4.21483 + 4.21483i) q^{72} +(2.26033 + 8.43566i) q^{73} +(-5.70548 - 9.88218i) q^{74} +(1.98942 - 3.44577i) q^{75} +(-2.80087 - 0.750490i) q^{76} +(-2.46748 - 2.80917i) q^{77} +(-3.74068 - 9.21546i) q^{78} +(-2.78395 - 4.82194i) q^{79} +(-5.26586 - 5.26586i) q^{80} -11.0457 q^{81} -12.0662 q^{82} +(0.445401 + 0.445401i) q^{83} +(1.20873 + 2.44622i) q^{84} +(-7.11727 + 1.90707i) q^{85} +(0.314981 - 1.17553i) q^{86} +(10.2737 - 5.93153i) q^{87} +4.31539i q^{88} +(-0.0396274 - 0.147892i) q^{89} -6.30411 q^{90} +(-0.563727 - 9.52272i) q^{91} +0.472125 q^{92} +(-3.85204 - 14.3760i) q^{93} -2.84778i q^{94} +(14.1174 - 8.15070i) q^{95} +(1.47681 - 5.51153i) q^{96} +(2.87974 - 0.771623i) q^{97} +(-1.14608 - 8.60104i) q^{98} +(1.95059 + 1.95059i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.320827	−	1.19734i	−0.226859	−	0.846649i	−0.981651	−	0.190685i	$-0.938929\pi$
$2$	−0.320827	−	1.19734i	−0.226859	−	0.846649i	0.754792	−	0.655964i	$-0.227738\pi$
$3$			2.22531i			1.28478i	0.766377	+	0.642391i	$0.222057\pi$
$3$			2.22531i			1.28478i	−0.766377	+	0.642391i	$0.777943\pi$
$4$	0.401352	−	0.231720i	0.200676	−	0.115860i
$5$	−0.674321	+	2.51660i	−0.301566	+	1.12546i	0.634296	+	0.773090i	$0.281290\pi$
$5$	−0.674321	+	2.51660i	−0.301566	+	1.12546i	−0.935862	+	0.352368i	$0.885377\pi$
$6$	2.66446	−	0.713939i	1.08776	−	0.291464i
$7$	2.64022	+	0.170970i	0.997910	+	0.0646206i
$7$	2.64022	+	0.170970i	0.997910	+	0.0646206i
$8$	−2.15924	−	2.15924i	−0.763408	−	0.763408i
$9$	−1.95199			−0.650664
$10$	3.22957			1.02128
$11$	−0.999283	−	0.999283i	−0.301295	−	0.301295i	0.540225	−	0.841520i	$-0.318339\pi$
$11$	−0.999283	−	0.999283i	−0.301295	−	0.301295i	−0.841520	+	0.540225i	$0.818339\pi$
$12$	0.515649	+	0.893131i	0.148855	+	0.257825i
$13$	−0.445209	−	3.57796i	−0.123479	−	0.992347i
$13$	−0.445209	−	3.57796i	−0.123479	−	0.992347i
$14$	−0.642345	−	3.21610i	−0.171674	−	0.859539i
$15$	−5.60021	−	1.50057i	−1.44597	−	0.387446i
$16$	−1.42917	+	2.47540i	−0.357293	+	0.618849i
$17$	1.41406	+	2.44923i	0.342961	+	0.594026i	0.984981	−	0.172662i	$-0.0552368\pi$
$17$	1.41406	+	2.44923i	0.342961	+	0.594026i	−0.642020	+	0.766688i	$0.721903\pi$
$18$	0.626252	+	2.33720i	0.147609	+	0.550884i
$19$	−4.42425	−	4.42425i	−1.01499	−	1.01499i	−0.999886	−	0.0151063i	$-0.995191\pi$
$19$	−4.42425	−	4.42425i	−1.01499	−	1.01499i	−0.0151063	−	0.999886i	$-0.504809\pi$
$20$	0.312508	+	1.16630i	0.0698789	+	0.260792i
$21$	−0.380461	+	5.87530i	−0.0830233	+	1.28210i
$22$	−0.875887	+	1.51708i	−0.186740	+	0.323443i
$23$	0.882253	+	0.509369i	0.183963	+	0.106211i	0.589153	−	0.808021i	$-0.299461\pi$
$23$	0.882253	+	0.509369i	0.183963	+	0.106211i	−0.405191	+	0.914232i	$0.632795\pi$
$24$	4.80498	−	4.80498i	0.980813	−	0.980813i
$25$	−1.54845	−	0.893996i	−0.309689	−	0.178799i
$26$	−4.14121	+	1.68097i	−0.812158	+	0.329666i
$27$			2.33214i			0.448820i
$28$	1.09927	−	0.543174i	0.207743	−	0.102650i
$29$	−2.66549	−	4.61676i	−0.494968	−	0.857310i	0.505015	−	0.863111i	$-0.331487\pi$
$29$	−2.66549	−	4.61676i	−0.494968	−	0.857310i	−0.999983	+	0.00580039i	$0.998154\pi$
$30$			7.18680i			1.31212i
$31$	−6.46023	+	1.73101i	−1.16029	+	0.310899i	−0.787083	−	0.616848i	$-0.788409\pi$
$31$	−6.46023	+	1.73101i	−1.16029	+	0.310899i	−0.373210	+	0.927747i	$0.621743\pi$
$32$	−2.47675	−	0.663644i	−0.437832	−	0.117317i
$33$	2.22371	−	2.22371i	0.387098	−	0.387098i
$34$	2.47890	−	2.47890i	0.425128	−	0.425128i
$35$	−2.21062	+	6.52910i	−0.373663	+	1.10362i
$36$	−0.783435	+	0.452317i	−0.130573	+	0.0753861i
$37$	8.89183	−	2.38256i	1.46181	−	0.391690i	0.561694	−	0.827345i	$-0.310150\pi$
$37$	8.89183	−	2.38256i	1.46181	−	0.391690i	0.900114	+	0.435655i	$0.143483\pi$
$38$	−3.87792	+	6.71676i	−0.629082	+	1.08960i
$39$	7.96206	−	0.990727i	1.27495	−	0.158643i
$40$	6.88998	−	3.97793i	1.08940	−	0.628966i
$41$	2.51937	−	9.40242i	0.393459	−	1.46841i	−0.430929	−	0.902386i	$-0.641814\pi$
$41$	2.51937	−	9.40242i	0.393459	−	1.46841i	0.824388	−	0.566025i	$-0.191519\pi$
$42$	7.15681	−	1.42941i	1.10432	−	0.220563i
$43$	0.850246	+	0.490890i	0.129661	+	0.0748600i	0.563428	−	0.826165i	$-0.309482\pi$
$43$	0.850246	+	0.490890i	0.129661	+	0.0748600i	−0.433766	+	0.901025i	$0.642816\pi$
$44$	−0.632618	−	0.169509i	−0.0953707	−	0.0255545i
$45$	1.31627	−	4.91239i	0.196218	−	0.732296i
$46$	0.326839	−	1.21978i	0.0481897	−	0.179847i
$47$	2.21910	+	0.594605i	0.323688	+	0.0867321i	0.417004	−	0.908904i	$-0.363080\pi$
$47$	2.21910	+	0.594605i	0.323688	+	0.0867321i	−0.0933159	+	0.995637i	$0.529747\pi$
$48$	−5.50852	−	3.18034i	−0.795086	−	0.459043i
$49$	6.94154	+	0.902797i	0.991648	+	0.128971i
$50$	−0.573636	+	2.14084i	−0.0811244	+	0.302760i
$51$	−5.45029	+	3.14673i	−0.763194	+	0.440630i
$52$	−1.00777	−	1.33286i	−0.139753	−	0.184834i
$53$	−2.52978	+	4.38171i	−0.347492	+	0.601875i	−0.985803	−	0.167904i	$-0.946300\pi$
$53$	−2.52978	+	4.38171i	−0.347492	+	0.601875i	0.638311	+	0.769779i	$0.279633\pi$
$54$	2.79237	−	0.748213i	0.379993	−	0.101819i
$55$	3.18863	−	1.84096i	0.429955	−	0.248235i
$56$	−5.33172	−	6.07005i	−0.712481	−	0.811144i
$57$	9.84531	−	9.84531i	1.30404	−	1.30404i
$58$	−4.67268	+	4.67268i	−0.613553	+	0.613553i
$59$	−7.36837	−	1.97435i	−0.959280	−	0.257038i	−0.254984	−	0.966945i	$-0.582070\pi$
$59$	−7.36837	−	1.97435i	−0.959280	−	0.257038i	−0.704296	+	0.709907i	$0.748737\pi$
$60$	−2.59537	+	0.695426i	−0.335060	+	0.0897792i
$61$			7.79680i			0.998278i	0.866522	+	0.499139i	$0.166350\pi$
$61$			7.79680i			0.998278i	−0.866522	+	0.499139i	$0.833650\pi$
$62$	4.14523	+	7.17976i	0.526445	+	0.911830i
$63$	−5.15369	−	0.333732i	−0.649304	−	0.0420463i
$64$			8.89512i			1.11189i
$65$	9.30451	+	1.29228i	1.15408	+	0.160288i
$66$	−3.37597	−	1.94912i	−0.415553	−	0.239920i
$67$	−9.24089	+	9.24089i	−1.12895	+	1.12895i	−0.138607	+	0.990347i	$0.544262\pi$
$67$	−9.24089	+	9.24089i	−1.12895	+	1.12895i	−0.990347	+	0.138607i	$0.955738\pi$
$68$	1.13507	+	0.655335i	0.137648	+	0.0794711i
$69$	−1.13350	+	1.96328i	−0.136458	+	0.236352i
$70$	8.52679	+	0.552160i	1.01915	+	0.0659958i
$71$	2.97420	+	11.0999i	0.352973	+	1.31731i	0.883017	+	0.469341i	$0.155509\pi$
$71$	2.97420	+	11.0999i	0.352973	+	1.31731i	−0.530044	+	0.847970i	$0.677825\pi$
$72$	4.21483	+	4.21483i	0.496722	+	0.496722i
$73$	2.26033	+	8.43566i	0.264552	+	0.987320i	0.962524	+	0.271196i	$0.0874190\pi$
$73$	2.26033	+	8.43566i	0.264552	+	0.987320i	−0.697973	+	0.716124i	$0.745914\pi$
$74$	−5.70548	−	9.88218i	−0.663248	−	1.14878i
$75$	1.98942	−	3.44577i	0.229718	−	0.397883i
$76$	−2.80087	−	0.750490i	−0.321282	−	0.0860871i
$77$	−2.46748	−	2.80917i	−0.281195	−	0.320135i
$78$	−3.74068	−	9.21546i	−0.423549	−	1.04345i
$79$	−2.78395	−	4.82194i	−0.313219	−	0.542511i	0.665838	−	0.746096i	$-0.268074\pi$
$79$	−2.78395	−	4.82194i	−0.313219	−	0.542511i	−0.979057	+	0.203585i	$0.934741\pi$
$80$	−5.26586	−	5.26586i	−0.588742	−	0.588742i
$81$	−11.0457			−1.22730
$82$	−12.0662			−1.33249
$83$	0.445401	+	0.445401i	0.0488891	+	0.0488891i	0.731129	−	0.682240i	$-0.238994\pi$
$83$	0.445401	+	0.445401i	0.0488891	+	0.0488891i	−0.682240	+	0.731129i	$0.738994\pi$
$84$	1.20873	+	2.44622i	0.131883	+	0.266905i
$85$	−7.11727	+	1.90707i	−0.771977	+	0.206851i
$86$	0.314981	−	1.17553i	0.0339653	−	0.126760i
$87$	10.2737	−	5.93153i	1.10146	−	0.635926i
$88$			4.31539i			0.460022i
$89$	−0.0396274	−	0.147892i	−0.00420050	−	0.0156765i	0.963794	−	0.266649i	$-0.0859164\pi$
$89$	−0.0396274	−	0.147892i	−0.00420050	−	0.0156765i	−0.967994	+	0.250972i	$0.919250\pi$
$90$	−6.30411			−0.664511
$91$	−0.563727	−	9.52272i	−0.0590947	−	0.998252i
$92$	0.472125			0.0492224
$93$	−3.85204	−	14.3760i	−0.399438	−	1.49072i
$94$		−	2.84778i		−	0.293726i
$95$	14.1174	−	8.15070i	1.44842	−	0.836245i
$96$	1.47681	−	5.51153i	0.150726	−	0.562519i
$97$	2.87974	−	0.771623i	0.292393	−	0.0783465i	−0.109641	−	0.993971i	$-0.534970\pi$
$97$	2.87974	−	0.771623i	0.292393	−	0.0783465i	0.402034	+	0.915625i	$0.368303\pi$
$98$	−1.14608	−	8.60104i	−0.115771	−	0.868836i
$99$	1.95059	+	1.95059i	0.196042	+	0.196042i
$100$	−0.828628			−0.0828628
$101$	5.30100			0.527470			0.263735	−	0.964595i	$-0.415046\pi$
$101$	5.30100			0.527470			0.263735	+	0.964595i	$0.415046\pi$
$102$	5.51631	+	5.51631i	0.546196	+	0.546196i
$103$	2.40977	+	4.17384i	0.237442	+	0.411261i	0.959979	−	0.280071i	$-0.0903579\pi$
$103$	2.40977	+	4.17384i	0.237442	+	0.411261i	−0.722538	+	0.691331i	$0.757025\pi$
$104$	−6.76437	+	8.68700i	−0.663301	+	0.851831i
$105$	−14.5292	−	4.91931i	−1.41791	−	0.480076i
$106$	6.05803	+	1.62325i	0.588408	+	0.157664i
$107$	−0.888713	+	1.53930i	−0.0859151	+	0.148809i	−0.905781	−	0.423747i	$-0.860715\pi$
$107$	−0.888713	+	1.53930i	−0.0859151	+	0.148809i	0.819866	+	0.572556i	$0.194048\pi$
$108$	0.540404	+	0.936007i	0.0520004	+	0.0900673i
$109$	2.58116	+	9.63303i	0.247231	+	0.922677i	0.972249	+	0.233948i	$0.0751645\pi$
$109$	2.58116	+	9.63303i	0.247231	+	0.922677i	−0.725019	+	0.688729i	$0.758169\pi$
$110$	−3.22726	−	3.22726i	−0.307707	−	0.307707i
$111$	5.30192	+	19.7871i	0.503236	+	1.87810i
$112$	−4.19654	+	6.29125i	−0.396536	+	0.594467i
$113$	8.26089	−	14.3083i	0.777119	−	1.34601i	−0.156477	−	0.987682i	$-0.550014\pi$
$113$	8.26089	−	14.3083i	0.777119	−	1.34601i	0.933596	−	0.358328i	$-0.116653\pi$
$114$	−14.9469	−	8.62957i	−1.39990	−	0.808233i
$115$	−1.87680	+	1.87680i	−0.175013	+	0.175013i
$116$	−2.13959	−	1.23530i	−0.198656	−	0.114694i
$117$	0.869045	+	6.98415i	0.0803433	+	0.645685i
$118$			9.45589i			0.870485i
$119$	3.31470	+	6.70828i	0.303858	+	0.614947i
$120$	8.85212	+	15.3323i	0.808085	+	1.39964i
$121$		−	9.00287i		−	0.818443i
$122$	9.33544	−	2.50142i	0.845191	−	0.226468i
$123$	20.9233	+	5.60637i	1.88659	+	0.505510i
$124$	−2.19171	+	2.19171i	−0.196822	+	0.196822i
$125$	−5.91742	+	5.91742i	−0.529270	+	0.529270i
$126$	1.25385	+	6.27781i	0.111702	+	0.559272i
$127$	−5.35860	+	3.09379i	−0.475499	+	0.274529i	−0.718539	−	0.695487i	$-0.755189\pi$
$127$	−5.35860	+	3.09379i	−0.475499	+	0.274529i	0.243040	+	0.970016i	$0.421855\pi$
$128$	5.69700	−	1.52651i	0.503548	−	0.134925i
$129$	−1.09238	+	1.89206i	−0.0961788	+	0.166587i
$130$	−1.43784	−	11.5553i	−0.126107	−	1.01347i
$131$	−2.15037	+	1.24152i	−0.187879	+	0.108472i	−0.590989	−	0.806680i	$-0.701262\pi$
$131$	−2.15037	+	1.24152i	−0.187879	+	0.108472i	0.403110	+	0.915151i	$0.367929\pi$
$132$	0.377211	−	1.40777i	0.0328320	−	0.122531i
$133$	−10.9246	−	12.4374i	−0.947281	−	1.07846i
$134$	14.0292	+	8.09978i	1.21194	+	0.699715i
$135$	−5.86906	−	1.57261i	−0.505128	−	0.135349i
$136$	2.23518	−	8.34180i	0.191665	−	0.715304i
$137$	3.40710	−	12.7155i	0.291088	−	1.08636i	−0.653186	−	0.757197i	$-0.726568\pi$
$137$	3.40710	−	12.7155i	0.291088	−	1.08636i	0.944274	−	0.329159i	$-0.106765\pi$
$138$	2.71438	+	0.727317i	0.231064	+	0.0619133i
$139$	−15.3254	−	8.84813i	−1.29988	−	0.750488i	−0.319500	−	0.947586i	$-0.603515\pi$
$139$	−15.3254	−	8.84813i	−1.29988	−	0.750488i	−0.980384	+	0.197098i	$0.936848\pi$
$140$	0.625689	+	3.13271i	0.0528804	+	0.264762i
$141$	−1.32318	+	4.93817i	−0.111432	+	0.415869i
$142$	12.3361	−	7.12227i	1.03523	−	0.597688i
$143$	−3.13050	+	4.02028i	−0.261786	+	0.336193i
$144$	2.78973	−	4.83196i	0.232478	−	0.402663i
$145$	13.4159	−	3.59479i	1.11413	−	0.298531i
$146$	9.37521	−	5.41278i	0.775898	−	0.447965i
$147$	−2.00900	+	15.4471i	−0.165700	+	1.27405i
$148$	3.01666	−	3.01666i	0.247968	−	0.247968i
$149$	−11.8340	+	11.8340i	−0.969478	+	0.969478i	−0.999548	−	0.0300698i	$-0.990427\pi$
$149$	−11.8340	+	11.8340i	−0.969478	+	0.969478i	0.0300698	+	0.999548i	$0.490427\pi$
$150$	−4.76402	−	1.27652i	−0.388981	−	0.104227i
$151$	8.49993	−	2.27755i	0.691715	−	0.185344i	0.104198	−	0.994557i	$-0.466772\pi$
$151$	8.49993	−	2.27755i	0.691715	−	0.185344i	0.587516	+	0.809212i	$0.300106\pi$
$152$			19.1061i			1.54971i
$153$	−2.76024	−	4.78088i	−0.223153	−	0.386512i
$154$	−2.57191	+	3.85568i	−0.207250	+	0.310699i
$155$		−	17.4251i		−	1.39962i
$156$	2.96601	−	2.24260i	0.237471	−	0.179552i
$157$	4.38854	+	2.53373i	0.350244	+	0.202213i	0.664793	−	0.747028i	$-0.268520\pi$
$157$	4.38854	+	2.53373i	0.350244	+	0.202213i	−0.314549	+	0.949241i	$0.601853\pi$
$158$	−4.88035	+	4.88035i	−0.388260	+	0.388260i
$159$	−9.75066	−	5.62955i	−0.773278	−	0.446452i
$160$	3.34025	−	5.78549i	0.264070	−	0.457383i
$161$	2.24226	+	1.49569i	0.176715	+	0.117877i
$162$	3.54376	+	13.2255i	0.278424	+	1.03909i
$163$	−1.77633	−	1.77633i	−0.139133	−	0.139133i	0.634110	−	0.773243i	$-0.281367\pi$
$163$	−1.77633	−	1.77633i	−0.139133	−	0.139133i	−0.773243	+	0.634110i	$0.781367\pi$
$164$	−1.16758	−	4.35746i	−0.0911726	−	0.340261i
$165$	4.09670	+	7.09569i	0.318928	+	0.552399i
$166$	0.390401	−	0.676194i	0.0303010	−	0.0524828i
$167$	2.57849	+	0.690905i	0.199530	+	0.0534639i	0.357200	−	0.934028i	$-0.383732\pi$
$167$	2.57849	+	0.690905i	0.199530	+	0.0534639i	−0.157670	+	0.987492i	$0.550398\pi$
$168$	13.5077	−	11.8647i	1.04214	−	0.915382i
$169$	−12.6036	+	3.18588i	−0.969506	+	0.245068i
$170$	4.56683	+	7.90998i	0.350260	+	0.606668i
$171$	8.63610	+	8.63610i	0.660419	+	0.660419i
$172$	0.454997			0.0346932
$173$	1.54194			0.117231			0.0586156	−	0.998281i	$-0.481331\pi$
$173$	1.54194			0.117231			0.0586156	+	0.998281i	$0.481331\pi$
$174$	−10.3981	−	10.3981i	−0.788282	−	0.788282i
$175$	−3.93539	−	2.62508i	−0.297488	−	0.198438i
$176$	3.90177	−	1.04547i	0.294107	−	0.0788056i
$177$	4.39353	−	16.3969i	0.330238	−	1.23247i
$178$	−0.164363	+	0.0948952i	−0.0123196	+	0.00711270i
$179$		−	17.6754i		−	1.32112i	−0.750772	−	0.660562i	$-0.770318\pi$
$179$		−	17.6754i		−	1.32112i	0.750772	−	0.660562i	$-0.229682\pi$
$180$	−0.610014	−	2.27660i	−0.0454677	−	0.169688i
$181$	−0.905550			−0.0673090			−0.0336545	−	0.999434i	$-0.510715\pi$
$181$	−0.905550			−0.0673090			−0.0336545	+	0.999434i	$0.510715\pi$
$182$	−11.2211	+	3.73012i	−0.831763	+	0.276495i
$183$	−17.3503			−1.28257
$184$	−0.805148	−	3.00485i	−0.0593563	−	0.221521i
$185$			23.9838i			1.76332i
$186$	−15.9772	+	9.22442i	−1.17150	+	0.676367i
$187$	1.03442	−	3.86053i	0.0756446	−	0.282310i
$188$	1.02842	−	0.275564i	0.0750052	−	0.0200976i
$189$	−0.398726	+	6.15736i	−0.0290030	+	0.447882i
$190$	−14.2884	−	14.2884i	−1.03659	−	1.03659i
$191$	23.4266			1.69509			0.847546	−	0.530723i	$-0.178079\pi$
$191$	23.4266			1.69509			0.847546	+	0.530723i	$0.178079\pi$
$192$	−19.7944			−1.42854
$193$	−8.43103	−	8.43103i	−0.606878	−	0.606878i	0.335251	−	0.942129i	$-0.391179\pi$
$193$	−8.43103	−	8.43103i	−0.606878	−	0.606878i	−0.942129	+	0.335251i	$0.891179\pi$
$194$	−1.84780	−	3.20048i	−0.132664	−	0.229781i
$195$	−2.87572	+	20.7054i	−0.205935	+	1.48274i
$196$	2.99519	−	1.24616i	0.213942	−	0.0890112i
$197$	10.0281	+	2.68702i	0.714472	+	0.191442i	0.597704	−	0.801717i	$-0.296080\pi$
$197$	10.0281	+	2.68702i	0.714472	+	0.191442i	0.116768	+	0.993159i	$0.462747\pi$
$198$	1.70973	−	2.96133i	0.121505	−	0.210453i
$199$	−1.98758	−	3.44258i	−0.140896	−	0.244038i	0.786939	−	0.617031i	$-0.211665\pi$
$199$	−1.98758	−	3.44258i	−0.140896	−	0.244038i	−0.927834	+	0.372993i	$0.878332\pi$
$200$	1.41312	+	5.27383i	0.0999225	+	0.372916i
$201$	−20.5638	−	20.5638i	−1.45046	−	1.45046i
$202$	−1.70071	−	6.34712i	−0.119661	−	0.446582i
$203$	−6.24815	−	12.6450i	−0.438534	−	0.887504i
$204$	−1.45832	+	2.52589i	−0.102103	+	0.176848i
$205$	21.9633	+	12.6805i	1.53398	+	0.885644i
$206$	4.22440	−	4.22440i	0.294328	−	0.294328i
$207$	−1.72215	−	0.994285i	−0.119698	−	0.0691076i
$208$	9.49314	+	4.01144i	0.658231	+	0.278144i
$209$			8.84215i			0.611624i
$210$	−1.22873	+	18.9747i	−0.0847902	+	1.30938i
$211$	2.47669	+	4.28976i	0.170503	+	0.295319i	0.938596	−	0.345019i	$-0.112128\pi$
$211$	2.47669	+	4.28976i	0.170503	+	0.295319i	−0.768093	+	0.640338i	$0.778794\pi$
$212$			2.34481i			0.161042i
$213$	−24.7006	+	6.61851i	−1.69246	+	0.453493i
$214$	2.12819	+	0.570246i	0.145480	+	0.0389812i
$215$	−1.80871	+	1.80871i	−0.123353	+	0.123353i
$216$	5.03565	−	5.03565i	0.342633	−	0.342633i
$217$	−17.3524	+	3.46576i	−1.17796	+	0.235271i
$218$	10.7059	−	6.18107i	0.725097	−	0.418635i
$219$	−18.7719	+	5.02993i	−1.26849	+	0.339891i
$220$	0.853175	−	1.47774i	0.0575211	−	0.0996294i
$221$	8.13370	−	6.14989i	0.547132	−	0.413686i
$222$	21.9909	−	12.6964i	1.47593	−	0.852129i
$223$	−4.57716	+	17.0822i	−0.306509	+	1.14391i	0.625129	+	0.780521i	$0.285046\pi$
$223$	−4.57716	+	17.0822i	−0.306509	+	1.14391i	−0.931638	+	0.363387i	$0.881620\pi$
$224$	−6.42571	−	2.17562i	−0.429336	−	0.145364i
$225$	3.02256	+	1.74507i	0.201504	+	0.116338i
$226$	−19.7822	−	5.30063i	−1.31589	−	0.352593i
$227$	3.92497	−	14.6482i	0.260510	−	0.972235i	−0.704432	−	0.709771i	$-0.748798\pi$
$227$	3.92497	−	14.6482i	0.260510	−	0.972235i	0.964942	−	0.262464i	$-0.0845350\pi$
$228$	1.67007	−	6.23279i	0.110603	−	0.412777i
$229$	14.4750	+	3.87857i	0.956536	+	0.256303i	0.703134	−	0.711058i	$-0.251784\pi$
$229$	14.4750	+	3.87857i	0.956536	+	0.256303i	0.253403	+	0.967361i	$0.418450\pi$
$230$	2.84930	+	1.64505i	0.187877	+	0.108471i
$231$	6.25128	−	5.49090i	0.411304	−	0.361275i
$232$	−4.21327	+	15.7241i	−0.276615	+	1.03234i
$233$	−5.38039	+	3.10637i	−0.352481	+	0.203505i	−0.665777	−	0.746150i	$-0.731900\pi$
$233$	−5.38039	+	3.10637i	−0.352481	+	0.203505i	0.313297	+	0.949655i	$0.398567\pi$
$234$	8.08361	−	3.28125i	0.528442	−	0.214502i
$235$	−2.99277	+	5.18363i	−0.195227	+	0.338142i
$236$	−3.41480	+	0.914994i	−0.222285	+	0.0595610i
$237$	10.7303	−	6.19515i	0.697008	−	0.402418i
$238$	6.96866	−	6.12103i	0.451711	−	0.396767i
$239$	−14.1820	+	14.1820i	−0.917358	+	0.917358i	−0.996837	−	0.0794785i	$-0.974674\pi$
$239$	−14.1820	+	14.1820i	−0.917358	+	0.917358i	0.0794785	+	0.996837i	$0.474674\pi$
$240$	11.7182	−	11.7182i	0.756404	−	0.756404i
$241$	1.10961	+	0.297318i	0.0714760	+	0.0191519i	0.294380	−	0.955688i	$-0.404887\pi$
$241$	1.10961	+	0.297318i	0.0714760	+	0.0191519i	−0.222904	+	0.974840i	$0.571554\pi$
$242$	−10.7795	+	2.88836i	−0.692934	+	0.185671i
$243$		−	17.5837i		−	1.12799i
$244$	1.80668	+	3.12926i	0.115661	+	0.200330i
$245$	−6.95281	+	16.8603i	−0.444199	+	1.07717i
$246$		−	26.8510i		−	1.71196i
$247$	−13.8601	+	17.7995i	−0.881895	+	1.13255i
$248$	17.6869	+	10.2115i	1.12312	+	0.648433i
$249$	−0.991153	+	0.991153i	−0.0628118	+	0.0628118i
$250$	8.98365	+	5.18671i	0.568176	+	0.328036i
$251$	14.3378	−	24.8339i	0.904997	−	1.56750i	0.0840758	−	0.996459i	$-0.473206\pi$
$251$	14.3378	−	24.8339i	0.904997	−	1.56750i	0.820921	−	0.571041i	$-0.193460\pi$
$252$	−2.14578	+	1.06027i	−0.135171	+	0.0667909i
$253$	−0.372617	−	1.39062i	−0.0234262	−	0.0874278i
$254$	5.42350	+	5.42350i	0.340301	+	0.340301i
$255$	−4.24381	−	15.8381i	−0.265758	−	0.991822i
$256$	5.23962	+	9.07528i	0.327476	+	0.567205i
$257$	−9.80977	+	16.9910i	−0.611916	+	1.05987i	0.379001	+	0.925396i	$0.376268\pi$
$257$	−9.80977	+	16.9910i	−0.611916	+	1.05987i	−0.990917	+	0.134474i	$0.957066\pi$
$258$	2.61591	+	0.700930i	0.162859	+	0.0436380i
$259$	23.8837	−	4.77025i	1.48406	−	0.296409i
$260$	4.03383	−	1.63739i	0.250167	−	0.101546i
$261$	5.20301	+	9.01188i	0.322058	+	0.557821i
$262$	2.17642	+	2.17642i	0.134459	+	0.134459i
$263$	8.08686			0.498657			0.249328	−	0.968419i	$-0.419790\pi$
$263$	8.08686			0.498657			0.249328	+	0.968419i	$0.419790\pi$
$264$	−9.60307			−0.591028
$265$	−9.32114	−	9.32114i	−0.572593	−	0.572593i
$266$	−11.3869	+	17.0707i	−0.698178	+	1.04667i
$267$	0.329104	−	0.0881832i	0.0201409	−	0.00539673i
$268$	−1.56754	+	5.85015i	−0.0957529	+	0.357355i
$269$	12.4201	−	7.17073i	0.757265	−	0.437207i	−0.0710476	−	0.997473i	$-0.522634\pi$
$269$	12.4201	−	7.17073i	0.757265	−	0.437207i	0.828313	+	0.560266i	$0.189301\pi$
$270$			7.53181i			0.458371i
$271$	−6.76641	−	25.2526i	−0.411030	−	1.53398i	−0.792657	−	0.609668i	$-0.791303\pi$
$271$	−6.76641	−	25.2526i	−0.411030	−	1.53398i	0.381627	−	0.924316i	$-0.375364\pi$
$272$	−8.08376			−0.490150
$273$	21.1910	−	1.25447i	1.28254	−	0.0759237i
$274$	−16.3179			−0.985799
$275$	0.653981	+	2.44069i	0.0394365	+	0.147179i
$276$			1.05062i			0.0632401i
$277$	−5.08216	+	2.93419i	−0.305357	+	0.176298i	−0.644847	−	0.764312i	$-0.723079\pi$
$277$	−5.08216	+	2.93419i	−0.305357	+	0.176298i	0.339490	+	0.940610i	$0.389746\pi$
$278$	−5.67744	+	21.1885i	−0.340510	+	1.27080i
$279$	12.6103	−	3.37893i	0.754961	−	0.202291i
$280$	18.8712	−	9.32464i	1.12777	−	0.557254i
$281$	16.4096	+	16.4096i	0.978913	+	0.978913i	0.999782	−	0.0208690i	$-0.00664330\pi$
$281$	16.4096	+	16.4096i	0.978913	+	0.978913i	−0.0208690	+	0.999782i	$0.506643\pi$
$282$	6.33719			0.377374
$283$	−22.3958			−1.33129			−0.665645	−	0.746269i	$-0.731843\pi$
$283$	−22.3958			−1.33129			−0.665645	+	0.746269i	$0.731843\pi$
$284$	3.76576	+	3.76576i	0.223457	+	0.223457i
$285$	18.1378	+	31.4156i	1.07439	+	1.86090i
$286$	5.81800	+	2.45847i	0.344026	+	0.145372i
$287$	8.25922	−	24.3937i	0.487527	−	1.43992i
$288$	4.83460	+	1.29543i	0.284882	+	0.0763338i
$289$	4.50084	−	7.79569i	0.264755	−	0.458570i
$290$	−8.60838	−	14.9102i	−0.505502	−	0.875555i
$291$	1.71710	+	6.40830i	0.100658	+	0.375661i
$292$	2.86190	+	2.86190i	0.167480	+	0.167480i
$293$	−1.22119	−	4.55756i	−0.0713429	−	0.266255i	0.921036	−	0.389477i	$-0.127344\pi$
$293$	−1.22119	−	4.55756i	−0.0713429	−	0.266255i	−0.992379	+	0.123221i	$0.960677\pi$
$294$	19.1400	−	2.55037i	1.11627	−	0.148741i
$295$	9.93730	−	17.2119i	0.578572	−	1.00212i
$296$	−24.3442	−	14.0551i	−1.41498	−	0.816936i
$297$	2.33046	−	2.33046i	0.135227	−	0.135227i
$298$	17.9660	+	10.3727i	1.04074	+	0.600873i
$299$	1.42971	−	3.38344i	0.0826825	−	0.195669i
$300$		−	1.84395i		−	0.106461i
$301$	2.16091	+	1.44142i	0.124553	+	0.0830823i
$302$	−5.45401	−	9.44663i	−0.313843	−	0.543592i
$303$			11.7964i			0.677683i
$304$	17.2748	−	4.62876i	0.990776	−	0.265478i
$305$	−19.6214	−	5.25755i	−1.12352	−	0.301046i
$306$	−4.83880	+	4.83880i	−0.276616	+	0.276616i
$307$	−3.77977	+	3.77977i	−0.215723	+	0.215723i	−0.806693	−	0.590970i	$-0.798745\pi$
$307$	−3.77977	+	3.77977i	−0.215723	+	0.215723i	0.590970	+	0.806693i	$0.298745\pi$
$308$	−1.64127	−	0.555701i	−0.0935201	−	0.0316640i
$309$	−9.28808	+	5.36248i	−0.528380	+	0.305061i
$310$	−20.8638	+	5.59044i	−1.18498	+	0.317516i
$311$	−1.26681	+	2.19418i	−0.0718343	+	0.124421i	−0.899705	−	0.436498i	$-0.856219\pi$
$311$	−1.26681	+	2.19418i	−0.0718343	+	0.124421i	0.827871	+	0.560919i	$0.189552\pi$
$312$	−19.3313	−	15.0528i	−1.09442	−	0.852197i
$313$	4.62033	−	2.66755i	0.261157	−	0.150779i	−0.363705	−	0.931514i	$-0.618489\pi$
$313$	4.62033	−	2.66755i	0.261157	−	0.150779i	0.624862	+	0.780735i	$0.285155\pi$
$314$	1.62578	−	6.06748i	0.0917478	−	0.342408i
$315$	4.31512	−	12.7448i	0.243129	−	0.718085i
$316$	−2.23469	−	1.29020i	−0.125711	−	0.0725792i
$317$	12.2492	+	3.28216i	0.687982	+	0.184344i	0.585841	−	0.810426i	$-0.300764\pi$
$317$	12.2492	+	3.28216i	0.687982	+	0.184344i	0.102141	+	0.994770i	$0.467431\pi$
$318$	−3.61222	+	13.4810i	−0.202563	+	0.755976i
$319$	−1.94987	+	7.27702i	−0.109172	+	0.407435i
$320$	−22.3855	−	5.99817i	−1.25139	−	0.335308i
$321$	−3.42541	−	1.97766i	−0.191188	−	0.110382i
$322$	1.07147	−	3.16461i	0.0597108	−	0.176357i
$323$	4.57984	−	17.0922i	0.254829	−	0.951035i
$324$	−4.43321	+	2.55951i	−0.246289	+	0.142195i
$325$	−2.50930	+	5.93829i	−0.139191	+	0.329397i
$326$	−1.55698	+	2.69677i	−0.0862333	+	0.149360i
$327$	−21.4365	+	5.74388i	−1.18544	+	0.317637i
$328$	−25.7420	+	14.8622i	−1.42137	+	0.820626i
$329$	5.75725	+	1.94929i	0.317407	+	0.107468i
$330$	7.18164	−	7.18164i	0.395336	−	0.395336i
$331$	6.32952	−	6.32952i	0.347902	−	0.347902i	−0.511426	−	0.859328i	$-0.670882\pi$
$331$	6.32952	−	6.32952i	0.347902	−	0.347902i	0.859328	+	0.511426i	$0.170882\pi$
$332$	0.281971	+	0.0755538i	0.0154751	+	0.00414655i
$333$	−17.3568	+	4.65074i	−0.951146	+	0.254859i
$334$		−	3.30900i		−	0.181061i
$335$	−17.0243	−	29.4870i	−0.930137	−	1.61105i
$336$	−14.0000	−	9.33860i	−0.763760	−	0.509463i
$337$		−	8.38324i		−	0.456664i	−0.973583	−	0.228332i	$-0.926673\pi$
$337$		−	8.38324i		−	0.456664i	0.973583	−	0.228332i	$-0.0733272\pi$
$338$	7.85816	+	14.0687i	0.427427	+	0.765236i
$339$	31.8403	+	18.3830i	1.72933	+	0.998428i
$340$	−2.41462	+	2.41462i	−0.130951	+	0.130951i
$341$	8.18537	+	4.72583i	0.443263	+	0.255918i
$342$	7.56968	−	13.1111i	0.409321	−	0.708965i
$343$	18.1728	+	3.57038i	0.981242	+	0.192782i
$344$	−0.775938	−	2.89584i	−0.0418358	−	0.156133i
$345$	−4.17646	−	4.17646i	−0.224853	−	0.224853i
$346$	−0.494695	−	1.84623i	−0.0265949	−	0.0992537i
$347$	13.7882	+	23.8819i	0.740190	+	1.28205i	0.952408	+	0.304825i	$0.0985979\pi$
$347$	13.7882	+	23.8819i	0.740190	+	1.28205i	−0.212218	+	0.977222i	$0.568069\pi$
$348$	2.74891	−	4.76125i	0.147357	−	0.255230i
$349$	34.2817	+	9.18577i	1.83506	+	0.491703i	0.998427	−	0.0560618i	$-0.0178544\pi$
$349$	34.2817	+	9.18577i	1.83506	+	0.491703i	0.836633	+	0.547765i	$0.184521\pi$
$350$	−1.88054	+	5.55421i	−0.100519	+	0.296885i
$351$	8.34429	−	1.03829i	0.445385	−	0.0554198i
$352$	1.81181	+	3.13814i	0.0965697	+	0.167264i
$353$	−5.13590	−	5.13590i	−0.273356	−	0.273356i	0.557093	−	0.830450i	$-0.311917\pi$
$353$	−5.13590	−	5.13590i	−0.273356	−	0.273356i	−0.830450	+	0.557093i	$0.811917\pi$
$354$	−21.0423			−1.11838
$355$	−29.9395			−1.58902
$356$	−0.0501740	−	0.0501740i	−0.00265922	−	0.00265922i
$357$	−14.9280	+	7.37622i	−0.790072	+	0.390391i
$358$	−21.1635	+	5.67075i	−1.11853	+	0.299709i
$359$	−4.07442	+	15.2059i	−0.215040	+	0.802539i	0.771113	+	0.636698i	$0.219700\pi$
$359$	−4.07442	+	15.2059i	−0.215040	+	0.802539i	−0.986153	+	0.165841i	$0.946966\pi$
$360$	−13.4492	+	7.76490i	−0.708835	+	0.409246i
$361$			20.1479i			1.06042i
$362$	0.290525	+	1.08425i	0.0152696	+	0.0569871i
$363$	20.0341			1.05152
$364$	−2.43286	−	3.69133i	−0.127517	−	0.193478i
$365$	−22.7534			−1.19097
$366$	5.56644	+	20.7742i	0.290962	+	1.08589i
$367$			0.323583i			0.0168909i	0.999964	+	0.00844546i	$0.00268830\pi$
$367$			0.323583i			0.0168909i	−0.999964	+	0.00844546i	$0.997312\pi$
$368$	−2.52178	+	1.45595i	−0.131457	+	0.0758967i
$369$	−4.91779	+	18.3534i	−0.256010	+	0.955442i
$370$	28.7168	−	7.69465i	1.49292	−	0.400026i
$371$	−7.42833	+	11.1362i	−0.385660	+	0.578161i
$372$	−4.87724	−	4.87724i	−0.252873	−	0.252873i
$373$	−32.2880			−1.67181			−0.835905	−	0.548874i	$-0.815057\pi$
$373$	−32.2880			−1.67181			−0.835905	+	0.548874i	$0.815057\pi$
$374$	−4.95424			−0.256178
$375$	−13.1681	−	13.1681i	−0.679997	−	0.679997i
$376$	−3.50767	−	6.07547i	−0.180894	−	0.313318i
$377$	−15.3319	+	11.5924i	−0.789631	+	0.597040i
$378$	7.50039	−	1.49804i	0.385778	−	0.0770507i
$379$	13.3271	+	3.57099i	0.684568	+	0.183430i	0.584308	−	0.811532i	$-0.301366\pi$
$379$	13.3271	+	3.57099i	0.684568	+	0.183430i	0.100260	+	0.994961i	$0.468033\pi$
$380$	3.77737	−	6.54260i	0.193775	−	0.335628i
$381$	−6.88463	−	11.9245i	−0.352710	−	0.610912i
$382$	−7.51589	−	28.0497i	−0.384547	−	1.43515i
$383$	−11.8936	−	11.8936i	−0.607736	−	0.607736i	0.334618	−	0.942354i	$-0.391393\pi$
$383$	−11.8936	−	11.8936i	−0.607736	−	0.607736i	−0.942354	+	0.334618i	$0.891393\pi$
$384$	3.39695	+	12.6776i	0.173350	+	0.646950i
$385$	8.73345	−	4.31538i	0.445098	−	0.219932i
$386$	−7.38992	+	12.7997i	−0.376137	+	0.651489i
$387$	−1.65967	−	0.958214i	−0.0843660	−	0.0487087i
$388$	0.976986	−	0.976986i	0.0495990	−	0.0495990i
$389$	−15.4854	−	8.94050i	−0.785141	−	0.453302i	0.0531079	−	0.998589i	$-0.483087\pi$
$389$	−15.4854	−	8.94050i	−0.785141	−	0.453302i	−0.838249	+	0.545287i	$0.816421\pi$
$390$	25.7141	−	3.19963i	1.30208	−	0.162019i
$391$			2.88112i			0.145705i
$392$	−13.0391	−	16.9378i	−0.658575	−	0.855490i
$393$	−2.76275	−	4.78523i	−0.139363	−	0.241383i
$394$		−	12.8691i		−	0.648337i
$395$	14.0122	−	3.75455i	0.705030	−	0.188912i
$396$	1.23487	+	0.330881i	0.0620543	+	0.0166274i
$397$	4.68972	−	4.68972i	0.235370	−	0.235370i	−0.579560	−	0.814930i	$-0.696775\pi$
$397$	4.68972	−	4.68972i	0.235370	−	0.235370i	0.814930	+	0.579560i	$0.196775\pi$
$398$	−3.48428	+	3.48428i	−0.174651	+	0.174651i
$399$	27.6771	−	24.3106i	1.38559	−	1.21705i
$400$	4.42599	−	2.55534i	0.221299	−	0.127767i
$401$	21.2957	−	5.70615i	1.06345	−	0.284952i	0.315653	−	0.948875i	$-0.397776\pi$
$401$	21.2957	−	5.70615i	1.06345	−	0.284952i	0.747801	+	0.663923i	$0.231110\pi$
$402$	−18.0245	+	31.2194i	−0.898981	+	1.55708i
$403$	9.06965	+	22.3438i	0.451792	+	1.11302i
$404$	2.12757	−	1.22835i	0.105850	−	0.0611127i
$405$	7.44835	−	27.7976i	0.370112	−	1.38128i
$406$	−13.1358	+	11.5380i	−0.651919	+	0.572622i
$407$	−11.2663	−	6.50460i	−0.558450	−	0.322421i
$408$	18.5631	+	4.97396i	0.919009	+	0.246248i
$409$	4.28429	−	15.9892i	0.211844	−	0.790614i	−0.775409	−	0.631459i	$-0.782456\pi$
$409$	4.28429	−	15.9892i	0.211844	−	0.790614i	0.987254	−	0.159155i	$-0.0508770\pi$
$410$	8.13649	−	30.3658i	0.401833	−	1.49966i
$411$	28.2958	+	7.58185i	1.39573	+	0.373985i
$412$	1.93433	+	1.11679i	0.0952975	+	0.0550201i
$413$	−19.1166	−	6.47249i	−0.940665	−	0.318490i
$414$	−0.637987	+	2.38100i	−0.0313553	+	0.117020i
$415$	−1.42124	+	0.820553i	−0.0697659	+	0.0402793i
$416$	−1.27182	+	9.15718i	−0.0623560	+	0.448968i
$417$	19.6898	−	34.1037i	0.964214	−	1.67007i
$418$	10.5871	−	2.83680i	0.517831	−	0.138752i
$419$	23.3376	−	13.4740i	1.14012	−	0.658247i	0.193658	−	0.981069i	$-0.437965\pi$
$419$	23.3376	−	13.4740i	1.14012	−	0.658247i	0.946460	+	0.322822i	$0.104631\pi$
$420$	−6.97124	+	1.39235i	−0.340162	+	0.0679397i
$421$	11.8511	−	11.8511i	0.577587	−	0.577587i	−0.356651	−	0.934238i	$-0.616081\pi$
$421$	11.8511	−	11.8511i	0.577587	−	0.577587i	0.934238	+	0.356651i	$0.116081\pi$
$422$	4.34172	−	4.34172i	0.211352	−	0.211352i
$423$	−4.33166	−	1.16066i	−0.210613	−	0.0564335i
$424$	14.9236	−	3.99877i	0.724755	−	0.194197i
$425$		−	5.05667i		−	0.245285i
$426$	15.8492	+	27.4517i	0.767898	+	1.33004i
$427$	−1.33302	+	20.5853i	−0.0645093	+	0.996191i
$428$			0.823732i			0.0398166i
$429$	−8.94636	−	6.96633i	−0.431934	−	0.336338i
$430$	2.74593	+	1.58537i	0.132421	+	0.0764531i
$431$	4.39788	−	4.39788i	0.211838	−	0.211838i	−0.593210	−	0.805048i	$-0.702139\pi$
$431$	4.39788	−	4.39788i	0.211838	−	0.211838i	0.805048	+	0.593210i	$0.202139\pi$
$432$	−5.77296	−	3.33302i	−0.277752	−	0.160360i
$433$	−5.55807	+	9.62686i	−0.267104	+	0.462637i	−0.968113	−	0.250515i	$-0.919400\pi$
$433$	−5.55807	+	9.62686i	−0.267104	+	0.462637i	0.701009	+	0.713153i	$0.252733\pi$
$434$	9.71681	+	19.6649i	0.466422	+	0.943943i
$435$	7.99951	+	29.8546i	0.383547	+	1.43142i
$436$	3.26812	+	3.26812i	0.156515	+	0.156515i
$437$	−1.64973	−	6.15688i	−0.0789174	−	0.294524i
$438$	12.0451	+	20.8627i	0.575537	+	0.996859i
$439$	10.6327	−	18.4163i	0.507470	−	0.878964i	−0.492493	−	0.870317i	$-0.663914\pi$
$439$	10.6327	−	18.4163i	0.507470	−	0.878964i	0.999963	−	0.00864699i	$-0.00275246\pi$
$440$	−10.8601	−	2.90996i	−0.517736	−	0.138727i
$441$	−13.5498	−	1.76225i	−0.645230	−	0.0839169i
$442$	−9.97303	−	7.76577i	−0.474369	−	0.369380i
$443$	−3.28510	−	5.68996i	−0.156080	−	0.270338i	0.777372	−	0.629041i	$-0.216552\pi$
$443$	−3.28510	−	5.68996i	−0.156080	−	0.270338i	−0.933452	+	0.358703i	$0.883219\pi$
$444$	6.71300	+	6.71300i	0.318585	+	0.318585i
$445$	0.398906			0.0189099
$446$	21.9217			1.03802
$447$	−26.3343	−	26.3343i	−1.24557	−	1.24557i
$448$	−1.52080	+	23.4851i	−0.0718510	+	1.10957i
$449$	−19.7570	+	5.29388i	−0.932392	+	0.249834i	−0.692874	−	0.721058i	$-0.743656\pi$
$449$	−19.7570	+	5.29388i	−0.932392	+	0.249834i	−0.239518	+	0.970892i	$0.576989\pi$
$450$	1.11973	−	4.17890i	0.0527847	−	0.196995i
$451$	−11.9132	+	6.87811i	−0.560972	+	0.323877i
$452$		−	7.65687i		−	0.360149i
$453$	5.06825	+	18.9150i	0.238127	+	0.888702i
$454$	−18.7981			−0.882241
$455$	24.3450	+	5.00270i	1.14131	+	0.234530i
$456$	−42.5169			−1.99103
$457$	0.185294	+	0.691526i	0.00866768	+	0.0323482i	0.970124	−	0.242609i	$-0.0780031\pi$
$457$	0.185294	+	0.691526i	0.00866768	+	0.0323482i	−0.961457	+	0.274957i	$0.911336\pi$
$458$		−	18.5759i		−	0.867995i
$459$	−5.71195	+	3.29779i	−0.266611	+	0.153928i
$460$	−0.318364	+	1.18815i	−0.0148438	+	0.0553978i
$461$	−18.7893	+	5.03457i	−0.875104	+	0.234484i	−0.668294	−	0.743897i	$-0.732975\pi$
$461$	−18.7893	+	5.03457i	−0.875104	+	0.234484i	−0.206811	+	0.978381i	$0.566308\pi$
$462$	−8.58007	−	5.72329i	−0.399181	−	0.266272i
$463$	23.8616	+	23.8616i	1.10894	+	1.10894i	0.993290	+	0.115653i	$0.0368962\pi$
$463$	23.8616	+	23.8616i	1.10894	+	1.10894i	0.115653	+	0.993290i	$0.463104\pi$
$464$	15.2377			0.707394
$465$	38.7762			1.79820
$466$	5.44556	+	5.44556i	0.252261	+	0.252261i
$467$	2.96432	+	5.13436i	0.137173	+	0.237590i	0.926425	−	0.376479i	$-0.122865\pi$
$467$	2.96432	+	5.13436i	0.137173	+	0.237590i	−0.789253	+	0.614068i	$0.789532\pi$
$468$	1.96716	+	2.60172i	0.0909321	+	0.120265i
$469$	−25.9779	+	22.8181i	−1.19955	+	1.05364i
$470$	7.16674	+	1.92032i	0.330577	+	0.0885778i
$471$	−5.63832	+	9.76586i	−0.259800	+	0.449987i
$472$	11.6470	+	20.1732i	0.536097	+	0.928547i
$473$	−0.359099	−	1.34017i	−0.0165114	−	0.0616213i
$474$	−10.8603	−	10.8603i	−0.498829	−	0.498829i
$475$	2.89545	+	10.8060i	0.132852	+	0.495812i
$476$	2.88480	+	1.92429i	0.132225	+	0.0881999i
$477$	4.93812	−	8.55307i	0.226101	−	0.391618i
$478$	21.5307	+	12.4308i	0.984791	+	0.568569i
$479$	−15.7982	+	15.7982i	−0.721839	+	0.721839i	−0.968980	−	0.247141i	$-0.920509\pi$
$479$	−15.7982	+	15.7982i	−0.721839	+	0.721839i	0.247141	+	0.968980i	$0.420509\pi$
$480$	12.8745	+	7.43309i	0.587637	+	0.339273i
$481$	−12.4834	−	30.7539i	−0.569195	−	1.40226i
$482$		−	1.42397i		−	0.0648599i
$483$	−3.32836	+	4.98971i	−0.151446	+	0.227040i
$484$	−2.08615	−	3.61332i	−0.0948249	−	0.164242i
$485$			7.76747i			0.352703i
$486$	−21.0537	+	5.64132i	−0.955014	+	0.255895i
$487$	5.19013	+	1.39069i	0.235187	+	0.0630182i	0.374488	−	0.927232i	$-0.377819\pi$
$487$	5.19013	+	1.39069i	0.235187	+	0.0630182i	−0.139300	+	0.990250i	$0.544485\pi$
$488$	16.8352	−	16.8352i	0.762093	−	0.762093i
$489$	3.95288	−	3.95288i	0.178756	−	0.178756i
$490$	22.4182	+	2.91565i	1.01275	+	0.131716i
$491$	8.53958	−	4.93033i	0.385386	−	0.222503i	−0.294773	−	0.955567i	$-0.595244\pi$
$491$	8.53958	−	4.93033i	0.385386	−	0.222503i	0.680159	+	0.733065i	$0.261911\pi$
$492$	9.69670	−	2.59822i	0.437161	−	0.117137i
$493$	7.53834	−	13.0568i	0.339510	−	0.588048i
$494$	25.7588	+	10.8847i	1.15894	+	0.489725i
$495$	−6.22419	+	3.59354i	−0.279757	+	0.161518i
$496$	4.94783	−	18.4655i	0.222164	−	0.829128i
$497$	5.95480	+	29.8146i	0.267109	+	1.33737i
$498$	1.50474	+	0.868761i	0.0674289	+	0.0389301i
$499$	0.269775	+	0.0722859i	0.0120768	+	0.00323596i	0.264852	−	0.964289i	$-0.414677\pi$
$499$	0.269775	+	0.0722859i	0.0120768	+	0.00323596i	−0.252776	+	0.967525i	$0.581343\pi$
$500$	−1.00378	+	3.74615i	−0.0448903	+	0.167533i
$501$	−1.53748	+	5.73794i	−0.0686894	+	0.256352i
$502$	−34.3346	−	9.19994i	−1.53243	−	0.410613i
$503$	−14.3969	−	8.31203i	−0.641924	−	0.370615i	0.143431	−	0.989660i	$-0.454186\pi$
$503$	−14.3969	−	8.31203i	−0.641924	−	0.370615i	−0.785355	+	0.619045i	$0.787520\pi$
$504$	10.4075	+	11.8487i	0.463586	+	0.527783i
$505$	−3.57458	+	13.3405i	−0.159067	+	0.593645i
$506$	−1.54551	+	0.892300i	−0.0687062	+	0.0396676i
$507$	−7.08956	−	28.0468i	−0.314858	−	1.24560i
$508$	−1.43379	+	2.48339i	−0.0636140	+	0.110183i
$509$	−38.9736	+	10.4429i	−1.72748	+	0.462876i	−0.979599	−	0.200963i	$-0.935593\pi$
$509$	−38.9736	+	10.4429i	−1.72748	+	0.462876i	−0.747876	+	0.663838i	$0.768926\pi$
$510$	−17.6021	+	10.1626i	−0.779435	+	0.450007i
$511$	4.52553	+	22.6585i	0.200197	+	1.00235i
$512$	17.5262	−	17.5262i	0.774556	−	0.774556i
$513$	10.3180	−	10.3180i	0.455549	−	0.455549i
$514$	23.4913	+	6.29447i	1.03616	+	0.277637i
$515$	−12.1289	+	3.24992i	−0.534461	+	0.143208i
$516$			1.01251i			0.0445732i
$517$	−1.62333	−	2.81168i	−0.0713938	−	0.123658i
$518$	−13.3742	−	27.0666i	−0.587627	−	1.18924i
$519$			3.43128i			0.150617i
$520$	−17.3004	−	22.8811i	−0.758671	−	1.00340i
$521$	−15.9440	−	9.20528i	−0.698520	−	0.403291i	0.108276	−	0.994121i	$-0.465467\pi$
$521$	−15.9440	−	9.20528i	−0.698520	−	0.403291i	−0.806796	+	0.590830i	$0.798800\pi$
$522$	9.12104	−	9.12104i	0.399217	−	0.399217i
$523$	10.8259	+	6.25034i	0.473384	+	0.273308i	0.717655	−	0.696398i	$-0.245215\pi$
$523$	10.8259	+	6.25034i	0.473384	+	0.273308i	−0.244271	+	0.969707i	$0.578549\pi$
$524$	−0.575369	+	0.996569i	−0.0251351	+	0.0435353i
$525$	5.84162	−	8.75746i	0.254949	−	0.382207i
$526$	−2.59448	−	9.68274i	−0.113125	−	0.422187i
$527$	−13.3748	−	13.3748i	−0.582617	−	0.582617i
$528$	2.32650	+	8.68263i	0.101248	+	0.377863i
$529$	−10.9811	−	19.0198i	−0.477439	−	0.826948i
$530$	−8.17012	+	14.1511i	−0.354887	+	0.614683i
$531$	14.3830	+	3.85391i	0.624169	+	0.167246i
$532$	−7.26660	−	2.46032i	−0.315047	−	0.106669i
$533$	−34.7631	−	4.82816i	−1.50576	−	0.209131i
$534$	−0.211171	−	0.365759i	−0.00913826	−	0.0158279i
$535$	−3.27452	−	3.27452i	−0.141570	−	0.141570i
$536$	39.9067			1.72371
$537$	39.3333			1.69736
$538$	−12.5705	−	12.5705i	−0.541954	−	0.541954i
$539$	−6.03441	−	7.83871i	−0.259920	−	0.337637i
$540$	−2.71996	+	0.728812i	−0.117049	+	0.0313631i
$541$	−0.760452	+	2.83805i	−0.0326944	+	0.122017i	−0.980344	−	0.197294i	$-0.936785\pi$
$541$	−0.760452	+	2.83805i	−0.0326944	+	0.122017i	0.947650	+	0.319311i	$0.103451\pi$
$542$	−28.0651	+	16.2034i	−1.20550	+	0.695996i
$543$		−	2.01513i		−	0.0864773i
$544$	−1.87687	−	7.00458i	−0.0804702	−	0.300319i
$545$	−25.9830			−1.11299
$546$	−8.30066	−	24.9704i	−0.355236	−	1.06863i
$547$	30.4775			1.30312			0.651561	−	0.758596i	$-0.274114\pi$
$547$	30.4775			1.30312			0.651561	+	0.758596i	$0.274114\pi$
$548$	−1.57899	−	5.89287i	−0.0674511	−	0.251731i
$549$		−	15.2193i		−	0.649544i
$550$	2.71253	−	1.56608i	0.115663	−	0.0667778i
$551$	−8.63291	+	32.2185i	−0.367774	+	1.37255i
$552$	6.68672	−	1.79170i	0.284606	−	0.0762599i
$553$	−6.52584	−	13.2070i	−0.277507	−	0.561618i
$554$	5.14372	+	5.14372i	0.218536	+	0.218536i
$555$	−53.3713			−2.26549
$556$	−8.20117			−0.347807
$557$	1.50088	+	1.50088i	0.0635944	+	0.0635944i	0.738189	−	0.674594i	$-0.235681\pi$
$557$	1.50088	+	1.50088i	0.0635944	+	0.0635944i	−0.674594	+	0.738189i	$0.735681\pi$
$558$	−8.09147	−	14.0148i	−0.342539	−	0.593295i
$559$	1.37785	−	3.26069i	0.0582767	−	0.137913i
$560$	−13.0027	−	14.8034i	−0.549466	−	0.625556i
$561$	8.59086	+	2.30191i	0.362706	+	0.0971868i
$562$	14.3832	−	24.9125i	0.606721	−	1.05087i
$563$	−1.26733	−	2.19508i	−0.0534115	−	0.0925114i	0.838083	−	0.545542i	$-0.183676\pi$
$563$	−1.26733	−	2.19508i	−0.0534115	−	0.0925114i	−0.891495	+	0.453031i	$0.850343\pi$
$564$	0.613215	+	2.28855i	0.0258210	+	0.0963653i
$565$	30.4377	+	30.4377i	1.28053	+	1.28053i
$566$	7.18516	+	26.8154i	0.302015	+	1.12714i
$567$	−29.1631	−	1.88848i	−1.22474	−	0.0793089i
$568$	17.5453	−	30.3893i	0.736184	−	1.27511i
$569$	30.3713	+	17.5349i	1.27323	+	0.735099i	0.975594	−	0.219581i	$-0.0704689\pi$
$569$	30.3713	+	17.5349i	1.27323	+	0.735099i	0.297635	+	0.954680i	$0.403802\pi$
$570$	31.7962	−	31.7962i	1.33179	−	1.33179i
$571$	−25.0216	−	14.4462i	−1.04712	−	0.604556i	−0.125279	−	0.992122i	$-0.539983\pi$
$571$	−25.0216	−	14.4462i	−1.04712	−	0.604556i	−0.921842	+	0.387566i	$0.873316\pi$
$572$	−0.324851	+	2.33895i	−0.0135827	+	0.0977963i
$573$			52.1314i			2.17782i
$574$	−31.8574	−	2.06296i	−1.32970	−	0.0861062i
$575$	−0.910748	−	1.57746i	−0.0379808	−	0.0657847i
$576$		−	17.3632i		−	0.723467i
$577$	−14.9572	+	4.00778i	−0.622678	+	0.166846i	−0.556345	−	0.830952i	$-0.687797\pi$
$577$	−14.9572	+	4.00778i	−0.622678	+	0.166846i	−0.0663329	+	0.997798i	$0.521130\pi$
$578$	−10.7781	−	2.88798i	−0.448310	−	0.120124i
$579$	18.7616	−	18.7616i	0.779706	−	0.779706i
$580$	4.55152	−	4.55152i	0.188992	−	0.188992i
$581$	1.09981	+	1.25211i	0.0456276	+	0.0519461i
$582$	7.12204	−	4.11191i	0.295218	−	0.170444i
$583$	6.90654	−	1.85060i	0.286040	−	0.0766441i
$584$	13.3341	−	23.0953i	0.551767	−	0.955689i
$585$	−18.1623	−	2.52252i	−0.750920	−	0.104293i
$586$	−5.06517	+	2.92438i	−0.209240	+	0.120805i
$587$	−3.18544	+	11.8882i	−0.131477	+	0.490679i	−0.999988	−	0.00499189i	$-0.998411\pi$
$587$	−3.18544	+	11.8882i	−0.131477	+	0.490679i	0.868511	+	0.495671i	$0.165078\pi$
$588$	2.77308	+	6.66523i	0.114360	+	0.274869i
$589$	36.2401	+	20.9232i	1.49325	+	0.862127i
$590$	−23.7967	−	6.37631i	−0.979694	−	0.262508i
$591$	−5.97944	+	22.3156i	−0.245961	+	0.917940i
$592$	−6.81016	+	25.4159i	−0.279896	+	1.04459i
$593$	−32.9656	−	8.83310i	−1.35373	−	0.362732i	−0.492222	−	0.870470i	$-0.663815\pi$
$593$	−32.9656	−	8.83310i	−1.35373	−	0.362732i	−0.861512	+	0.507738i	$0.830482\pi$
$594$	−3.53804	−	2.04269i	−0.145168	−	0.0838125i
$595$	−19.1172	+	3.81824i	−0.783730	+	0.156533i
$596$	−2.00741	+	7.49177i	−0.0822268	+	0.306875i
$597$	7.66081	−	4.42297i	0.313536	−	0.181020i
$598$	−4.50983	−	0.626359i	−0.184421	−	0.0256137i
$599$	−5.99292	+	10.3800i	−0.244864	+	0.424117i	−0.962093	−	0.272720i	$-0.912077\pi$
$599$	−5.99292	+	10.3800i	−0.244864	+	0.424117i	0.717229	+	0.696837i	$0.245410\pi$
$600$	−11.7359	+	3.14462i	−0.479116	+	0.128379i
$601$	−17.2242	+	9.94437i	−0.702588	+	0.405639i	−0.808311	−	0.588756i	$-0.799618\pi$
$601$	−17.2242	+	9.94437i	−0.702588	+	0.405639i	0.105723	+	0.994396i	$0.466284\pi$
$602$	1.03260	−	3.04980i	0.0420856	−	0.124300i
$603$	18.0382	−	18.0382i	0.734570	−	0.734570i
$604$	2.88371	−	2.88371i	0.117336	−	0.117336i
$605$	22.6566	+	6.07083i	0.921123	+	0.246814i
$606$	14.1243	−	3.78459i	0.573760	−	0.153739i
$607$			9.17039i			0.372214i	0.982529	+	0.186107i	$0.0595872\pi$
$607$			9.17039i			0.372214i	−0.982529	+	0.186107i	$0.940413\pi$
$608$	8.02164	+	13.8939i	0.325321	+	0.563472i
$609$	28.1390	−	13.9040i	1.14025	−	0.563420i
$610$			25.1803i			1.01952i
$611$	1.13951	−	8.20456i	0.0460997	−	0.331921i
$612$	−2.21566	−	1.27921i	−0.0895626	−	0.0517090i
$613$	13.4460	−	13.4460i	0.543078	−	0.543078i	−0.381352	−	0.924430i	$-0.624541\pi$
$613$	13.4460	−	13.4460i	0.543078	−	0.543078i	0.924430	+	0.381352i	$0.124541\pi$
$614$	5.73834	+	3.31303i	0.231580	+	0.133703i
$615$	−28.2180	+	48.8750i	−1.13786	+	1.97083i
$616$	−0.737802	+	11.3936i	−0.0297269	+	0.459061i
$617$	6.74741	+	25.1817i	0.271641	+	1.01378i	0.958059	+	0.286570i	$0.0925151\pi$
$617$	6.74741	+	25.1817i	0.271641	+	1.01378i	−0.686419	+	0.727207i	$0.740818\pi$
$618$	9.40059	+	9.40059i	0.378147	+	0.378147i
$619$	−0.397756	−	1.48444i	−0.0159872	−	0.0596649i	0.957471	−	0.288528i	$-0.0931658\pi$
$619$	−0.397756	−	1.48444i	−0.0159872	−	0.0596649i	−0.973459	+	0.228863i	$0.926499\pi$
$620$	−4.03775	−	6.99359i	−0.162160	−	0.280869i
$621$	−1.18792	+	2.05754i	−0.0476695	+	0.0825661i
$622$	3.03362	+	0.812855i	0.121637	+	0.0325925i
$623$	−0.0793402	−	0.397242i	−0.00317870	−	0.0159152i
$624$	−8.92670	+	21.1252i	−0.357354	+	0.845683i
$625$	−15.3715	−	26.6243i	−0.614861	−	1.06497i
$626$	−4.67630	−	4.67630i	−0.186903	−	0.186903i
$627$	−19.6765			−0.785804
$628$	2.34846			0.0937139
$629$	18.4091	+	18.4091i	0.734017	+	0.734017i
$630$	−16.6442	−	1.07781i	−0.663122	−	0.0429411i
$631$	5.46012	−	1.46304i	0.217364	−	0.0582425i	−0.148493	−	0.988913i	$-0.547442\pi$
$631$	5.46012	−	1.46304i	0.217364	−	0.0582425i	0.365858	+	0.930671i	$0.380776\pi$
$632$	−4.40053	+	16.4230i	−0.175043	+	0.653271i
$633$	−9.54603	+	5.51141i	−0.379421	+	0.219059i
$634$		−	15.7195i		−	0.624300i
$635$	−4.17241	−	15.5717i	−0.165577	−	0.617942i
$636$	−5.21792			−0.206904
$637$	0.139735	−	25.2385i	0.00553650	−	0.999985i
$638$	9.33866			0.369721
$639$	−5.80562	−	21.6669i	−0.229667	−	0.857128i
$640$			15.3664i			0.607411i
$641$	1.88634	−	1.08908i	0.0745060	−	0.0430160i	−0.462284	−	0.886732i	$-0.652970\pi$
$641$	1.88634	−	1.08908i	0.0745060	−	0.0430160i	0.536790	+	0.843716i	$0.319637\pi$
$642$	−1.26897	+	4.73587i	−0.0500824	+	0.186910i
$643$	23.5550	−	6.31154i	0.928918	−	0.248903i	0.237525	−	0.971381i	$-0.423664\pi$
$643$	23.5550	−	6.31154i	0.928918	−	0.248903i	0.691393	+	0.722479i	$0.256997\pi$
$644$	1.24651	+	0.0807192i	0.0491196	+	0.00318078i
$645$	−4.02494	−	4.02494i	−0.158482	−	0.158482i
$646$	−21.9345			−0.863003
$647$	25.7027			1.01048			0.505239	−	0.862979i	$-0.331404\pi$
$647$	25.7027			1.01048			0.505239	+	0.862979i	$0.331404\pi$
$648$	23.8504	+	23.8504i	0.936931	+	0.936931i
$649$	5.39015	+	9.33602i	0.211582	+	0.366471i
$650$	7.91522	+	1.09932i	0.310460	+	0.0431191i
$651$	−7.71237	−	38.6144i	−0.302272	−	1.51342i
$652$	−1.12455	−	0.301321i	−0.0440406	−	0.0118006i
$653$	−6.14492	+	10.6433i	−0.240469	+	0.416505i	−0.960848	−	0.277076i	$-0.910635\pi$
$653$	−6.14492	+	10.6433i	−0.240469	+	0.416505i	0.720379	+	0.693581i	$0.243968\pi$
$654$	13.7548	+	23.8240i	0.537855	+	0.931592i
$655$	−1.67436	−	6.24880i	−0.0654227	−	0.244161i
$656$	19.6741	+	19.6741i	0.768144	+	0.768144i
$657$	−4.41215	−	16.4664i	−0.172134	−	0.642414i
$658$	0.486886	−	7.51878i	0.0189808	−	0.293113i
$659$	−22.5477	+	39.0538i	−0.878336	+	1.52132i	−0.0251690	+	0.999683i	$0.508012\pi$
$659$	−22.5477	+	39.0538i	−0.878336	+	1.52132i	−0.853167	+	0.521639i	$0.825321\pi$
$660$	3.28843	+	1.89858i	0.128002	+	0.0739020i
$661$	10.6687	−	10.6687i	0.414964	−	0.414964i	−0.468500	−	0.883464i	$-0.655205\pi$
$661$	10.6687	−	10.6687i	0.414964	−	0.414964i	0.883464	+	0.468500i	$0.155205\pi$
$662$	−9.60929	−	5.54792i	−0.373475	−	0.215626i
$663$	13.6854	+	18.1000i	0.531496	+	0.702945i
$664$		−	1.92346i		−	0.0746446i
$665$	38.6667	−	19.1060i	1.49943	−	0.740899i
$666$	11.1371	+	19.2899i	0.431552	+	0.747470i
$667$		−	5.43087i		−	0.210284i
$668$	1.19498	−	0.320194i	0.0462351	−	0.0123887i
$669$	−38.0131	−	10.1856i	−1.46967	−	0.393798i
$670$	−29.8441	+	29.8441i	−1.15298	+	1.15298i
$671$	7.79121	−	7.79121i	0.300776	−	0.300776i
$672$	4.84142	−	14.2992i	0.186762	−	0.551603i
$673$	10.7821	−	6.22503i	0.415618	−	0.239957i	−0.277582	−	0.960702i	$-0.589533\pi$
$673$	10.7821	−	6.22503i	0.415618	−	0.239957i	0.693201	+	0.720744i	$0.256200\pi$
$674$	−10.0376	+	2.68957i	−0.386634	+	0.103598i
$675$	2.08492	−	3.61119i	0.0802487	−	0.138995i
$676$	−4.32023	+	4.19916i	−0.166163	+	0.161506i
$677$	32.6889	−	18.8729i	1.25634	−	0.725346i	0.283976	−	0.958831i	$-0.408346\pi$
$677$	32.6889	−	18.8729i	1.25634	−	0.725346i	0.972360	+	0.233485i	$0.0750130\pi$
$678$	11.7955	−	44.0215i	0.453005	−	1.69064i
$679$	7.73507	−	1.54491i	0.296845	−	0.0592881i
$680$	19.4858	+	11.2501i	0.747245	+	0.431422i
$681$	32.5967	+	8.73427i	1.24911	+	0.334698i
$682$	3.03235	−	11.3169i	0.116115	−	0.433345i
$683$	−4.66687	+	17.4170i	−0.178573	+	0.666443i	0.817343	+	0.576152i	$0.195446\pi$
$683$	−4.66687	+	17.4170i	−0.178573	+	0.666443i	−0.995915	+	0.0902909i	$0.971220\pi$
$684$	5.46727	+	1.46495i	0.209046	+	0.0560138i
$685$	29.7023	+	17.1486i	1.13487	+	0.655216i
$686$	−1.55537	−	22.9046i	−0.0593844	−	0.874502i
$687$	−8.63101	+	32.2114i	−0.329294	+	1.22894i
$688$	−2.43029	+	1.40313i	−0.0926541	+	0.0534938i
$689$	16.8039	+	7.10068i	0.640177	+	0.270514i
$690$	−3.66073	+	6.34057i	−0.139362	+	0.241382i
$691$	−18.1055	+	4.85136i	−0.688767	+	0.184555i	−0.586194	−	0.810171i	$-0.699374\pi$
$691$	−18.1055	+	4.85136i	−0.688767	+	0.184555i	−0.102573	+	0.994725i	$0.532708\pi$
$692$	0.618858	−	0.357298i	0.0235255	−	0.0135824i
$693$	4.81650	+	5.48349i	0.182964	+	0.208301i
$694$	24.1712	−	24.1712i	0.917525	−	0.917525i
$695$	32.6015	−	32.6015i	1.23664	−	1.23664i
$696$	−34.9910	−	9.37582i	−1.32633	−	0.355390i
$697$	26.5912	−	7.12510i	1.00722	−	0.269883i
$698$		−	43.9940i		−	1.66520i
$699$	−6.91262	−	11.9730i	−0.261459	−	0.452861i
$700$	−2.18776	−	0.141671i	−0.0826896	−	0.00535464i
$701$		−	12.1851i		−	0.460223i	−0.973164	−	0.230112i	$-0.926091\pi$
$701$		−	12.1851i		−	0.460223i	0.973164	−	0.230112i	$-0.0739092\pi$
$702$	−3.92026	−	9.65786i	−0.147961	−	0.364513i
$703$	−49.8807	−	28.7986i	−1.88129	−	1.08616i
$704$	8.88874	−	8.88874i	0.335007	−	0.335007i
$705$	−11.5352	−	6.65983i	−0.434439	−	0.250824i
$706$	−4.50170	+	7.79717i	−0.169424	+	0.293450i
$707$	13.9958	+	0.906313i	0.526367	+	0.0340854i
$708$	−2.03614	−	7.59899i	−0.0765229	−	0.285587i
$709$	−1.09697	−	1.09697i	−0.0411975	−	0.0411975i	0.686208	−	0.727405i	$-0.259274\pi$
$709$	−1.09697	−	1.09697i	−0.0411975	−	0.0411975i	−0.727405	+	0.686208i	$0.759274\pi$
$710$	9.60540	+	35.8478i	0.360484	+	1.34535i
$711$	5.43425	+	9.41240i	0.203800	+	0.352993i
$712$	−0.233769	+	0.404899i	−0.00876086	+	0.0151742i
$713$	−6.58129	−	1.76345i	−0.246471	−	0.0660417i
$714$	13.6212	+	15.5074i	0.509759	+	0.580350i
$715$	−8.00648	−	10.5892i	−0.299425	−	0.396013i
$716$	−4.09576	−	7.09406i	−0.153066	−	0.265118i
$717$	−31.5593	−	31.5593i	−1.17860	−	1.17860i
$718$	19.5139			0.728253
$719$	22.2064			0.828160			0.414080	−	0.910241i	$-0.364103\pi$
$719$	22.2064			0.828160			0.414080	+	0.910241i	$0.364103\pi$
$720$	10.2789	+	10.2789i	0.383073	+	0.383073i
$721$	5.64872	+	11.4319i	0.210369	+	0.425745i
$722$	24.1240	−	6.46400i	0.897802	−	0.240565i
$723$	−0.661624	+	2.46922i	−0.0246061	+	0.0918311i
$724$	−0.363444	+	0.209834i	−0.0135073	+	0.00779843i
$725$			9.53173i			0.354000i
$726$	−6.42750	−	23.9877i	−0.238547	−	0.890269i
$727$	−20.1830			−0.748547			−0.374274	−	0.927318i	$-0.622108\pi$
$727$	−20.1830			−0.748547			−0.374274	+	0.927318i	$0.622108\pi$
$728$	−19.3447	+	21.7791i	−0.716961	+	0.807187i
$729$	5.99197			0.221925
$730$	7.29990	+	27.2436i	0.270182	+	1.00833i
$731$			2.77660i			0.102696i
$732$	−6.96356	+	4.02041i	−0.257381	+	0.148599i
$733$	0.974815	−	3.63806i	0.0360056	−	0.134375i	−0.945583	−	0.325380i	$-0.894508\pi$
$733$	0.974815	−	3.63806i	0.0360056	−	0.134375i	0.981589	+	0.191005i	$0.0611746\pi$
$734$	0.387440	−	0.103814i	0.0143007	−	0.00383185i
$735$	−37.5194	−	15.4721i	−1.38392	−	0.570698i
$736$	−1.84708	−	1.84708i	−0.0680844	−	0.0680844i
$737$	18.4685			0.680297
$738$	23.5531			0.867003
$739$	−12.2856	−	12.2856i	−0.451934	−	0.451934i	0.444062	−	0.895996i	$-0.353537\pi$
$739$	−12.2856	−	12.2856i	−0.451934	−	0.451934i	−0.895996	+	0.444062i	$0.853537\pi$
$740$	5.55754	+	9.62594i	0.204299	+	0.353856i
$741$	−39.6093	−	30.8429i	−1.45509	−	1.13304i
$742$	15.7170	+	5.32147i	0.576990	+	0.195357i
$743$	3.38542	+	0.907121i	0.124199	+	0.0332790i	0.320383	−	0.947288i	$-0.396188\pi$
$743$	3.38542	+	0.907121i	0.124199	+	0.0332790i	−0.196184	+	0.980567i	$0.562855\pi$
$744$	−22.7238	+	39.3588i	−0.833095	+	1.44296i
$745$	−21.8015	−	37.7613i	−0.798746	−	1.38347i
$746$	10.3589	+	38.6598i	0.379265	+	1.41544i
$747$	−0.869419	−	0.869419i	−0.0318104	−	0.0318104i
$748$	−0.479395	−	1.78913i	−0.0175284	−	0.0654169i
$749$	−2.60957	+	3.91214i	−0.0953517	+	0.142946i
$750$	−11.5420	+	19.9914i	−0.421455	+	0.729982i
$751$	1.53972	+	0.888957i	0.0561851	+	0.0324385i	0.527829	−	0.849350i	$-0.323006\pi$
$751$	1.53972	+	0.888957i	0.0561851	+	0.0324385i	−0.471644	+	0.881789i	$0.656339\pi$
$752$	−4.64335	+	4.64335i	−0.169326	+	0.169326i
$753$	55.2630	+	31.9061i	2.01390	+	1.16272i
$754$	18.7990	+	14.6383i	0.684618	+	0.533097i
$755$			22.9267i			0.834389i
$756$	1.26676	+	2.56366i	0.0460715	+	0.0932394i
$757$	−24.7027	−	42.7863i	−0.897834	−	1.55509i	−0.830258	−	0.557380i	$-0.811807\pi$
$757$	−24.7027	−	42.7863i	−0.897834	−	1.55509i	−0.0675762	−	0.997714i	$-0.521527\pi$
$758$		−	17.1028i		−	0.621202i
$759$	3.09457	−	0.829187i	0.112326	−	0.0300976i
$760$	−48.0824	−	12.8836i	−1.74413	−	0.467338i
$761$	10.5141	−	10.5141i	0.381134	−	0.381134i	−0.490376	−	0.871511i	$-0.663141\pi$
$761$	10.5141	−	10.5141i	0.381134	−	0.381134i	0.871511	+	0.490376i	$0.163141\pi$
$762$	−12.0690	+	12.0690i	−0.437213	+	0.437213i
$763$	5.16788	+	25.8746i	0.187090	+	0.936725i
$764$	9.40231	−	5.42843i	0.340164	−	0.196394i
$765$	13.8929	−	3.72258i	0.502298	−	0.134590i
$766$	−10.4249	+	18.0565i	−0.376669	+	0.652409i
$767$	−3.78367	+	27.2427i	−0.136620	+	0.983678i
$768$	−20.1953	+	11.6598i	−0.728735	+	0.420735i
$769$	−7.72722	+	28.8384i	−0.278651	+	1.03994i	0.674705	+	0.738088i	$0.264271\pi$
$769$	−7.72722	+	28.8384i	−0.278651	+	1.03994i	−0.953355	+	0.301850i	$0.902396\pi$
$770$	−7.96891	−	9.07244i	−0.287180	−	0.326948i
$771$	−37.8102	−	21.8297i	−1.36170	−	0.786179i
$772$	−5.33745	−	1.43016i	−0.192099	−	0.0514727i
$773$	9.59581	−	35.8120i	0.345137	−	1.28807i	−0.547315	−	0.836927i	$-0.684350\pi$
$773$	9.59581	−	35.8120i	0.345137	−	1.28807i	0.892452	−	0.451142i	$-0.148983\pi$
$774$	−0.614841	+	2.29462i	−0.0221000	+	0.0824784i
$775$	11.5508	+	3.09504i	0.414919	+	0.111177i
$776$	−7.88418	−	4.55193i	−0.283026	−	0.163405i
$777$	10.6153	+	53.1487i	0.380820	+	1.90670i
$778$	−5.73671	+	21.4097i	−0.205671	+	0.767575i
$779$	−52.7449	+	30.4523i	−1.88978	+	1.09107i
$780$	3.64369	+	8.97651i	0.130465	+	0.321410i
$781$	8.11984	−	14.0640i	0.290551	−	0.503248i
$782$	3.44969	−	0.924342i	0.123361	−	0.0330544i
$783$	10.7669	−	6.21628i	0.384778	−	0.222152i
$784$	−12.1554	+	15.8928i	−0.434122	+	0.567600i
$785$	−9.33567	+	9.33567i	−0.333204	+	0.333204i
$786$	−4.84320	+	4.84320i	−0.172751	+	0.172751i
$787$	43.9832	+	11.7853i	1.56783	+	0.420099i	0.935132	−	0.354299i	$-0.115281\pi$
$787$	43.9832	+	11.7853i	1.56783	+	0.420099i	0.632698	+	0.774398i	$0.281947\pi$
$788$	4.64743	−	1.24527i	0.165558	−	0.0443611i
$789$			17.9957i			0.640665i
$790$	−8.99097	−	15.5728i	−0.319885	−	0.554056i
$791$	24.2569	−	36.3647i	0.862475	−	1.29298i
$792$		−	8.42361i		−	0.299320i
$793$	27.8966	−	3.47121i	0.990638	−	0.123266i
$794$	−7.11979	−	4.11061i	−0.252672	−	0.145880i
$795$	20.7424	−	20.7424i	0.735657	−	0.735657i
$796$	−1.59543	−	0.921124i	−0.0565486	−	0.0326484i
$797$	5.85462	−	10.1405i	0.207381	−	0.359195i	−0.743507	−	0.668728i	$-0.766839\pi$
$797$	5.85462	−	10.1405i	0.207381	−	0.359195i	0.950889	+	0.309533i	$0.100173\pi$
$798$	−37.9876	−	25.3394i	−1.34475	−	0.897006i
$799$	1.68162	+	6.27589i	0.0594914	+	0.222025i
$800$	3.24182	+	3.24182i	0.114616	+	0.114616i
$801$	0.0773525	+	0.288683i	0.00273312	+	0.0102001i
$802$	−13.6644	−	23.6675i	−0.482508	−	0.835729i
$803$	6.17091	−	10.6883i	0.217767	−	0.377183i
$804$	−13.0184	−	3.48826i	−0.459123	−	0.123022i
$805$	−5.27605	+	4.63429i	−0.185956	+	0.163337i
$806$	23.8434	−	18.0280i	0.839847	−	0.635008i
$807$	15.9571	+	27.6385i	0.561716	+	0.972921i
$808$	−11.4462	−	11.4462i	−0.402675	−	0.402675i
$809$	−39.7322			−1.39691			−0.698456	−	0.715653i	$-0.746129\pi$
$809$	−39.7322			−1.39691			−0.698456	+	0.715653i	$0.746129\pi$
$810$	−35.6729			−1.25342
$811$	−3.48546	−	3.48546i	−0.122391	−	0.122391i	0.643258	−	0.765649i	$-0.277582\pi$
$811$	−3.48546	−	3.48546i	−0.122391	−	0.122391i	−0.765649	+	0.643258i	$0.777582\pi$
$812$	−5.43780	−	3.62726i	−0.190829	−	0.127292i
$813$	56.1947	−	15.0573i	1.97084	−	0.528084i
$814$	−4.17370	+	15.5765i	−0.146288	+	0.545955i
$815$	5.66814	−	3.27250i	0.198546	−	0.114631i
$816$		−	17.9888i		−	0.629736i
$817$	−1.58988	−	5.93352i	−0.0556229	−	0.207588i
$818$	−20.5190			−0.717432
$819$	1.10039	+	18.5883i	0.0384508	+	0.649527i
$820$	11.7533			0.410444
$821$	7.39356	+	27.5932i	0.258037	+	0.963008i	0.966376	+	0.257135i	$0.0827785\pi$
$821$	7.39356	+	27.5932i	0.258037	+	0.963008i	−0.708338	+	0.705873i	$0.750555\pi$
$822$		−	36.3123i		−	1.26654i
$823$	−34.2446	+	19.7711i	−1.19369	+	0.689177i	−0.959141	−	0.282927i	$-0.908695\pi$
$823$	−34.2446	+	19.7711i	−1.19369	+	0.689177i	−0.234549	+	0.972104i	$0.575361\pi$
$824$	3.80906	−	14.2156i	0.132695	−	0.495225i
$825$	−5.43129	+	1.45531i	−0.189093	+	0.0506673i
$826$	−1.61667	+	24.9656i	−0.0562512	+	0.868665i
$827$	−30.8511	−	30.8511i	−1.07280	−	1.07280i	−0.997133	−	0.0756634i	$-0.975893\pi$
$827$	−30.8511	−	30.8511i	−1.07280	−	1.07280i	−0.0756634	−	0.997133i	$-0.524107\pi$
$828$	−0.921585			−0.0320273
$829$	−42.9979			−1.49338			−0.746690	−	0.665172i	$-0.768358\pi$
$829$	−42.9979			−1.49338			−0.746690	+	0.665172i	$0.768358\pi$
$830$	1.43845	+	1.43845i	0.0499295	+	0.0499295i
$831$	−6.52947	−	11.3094i	−0.226505	−	0.392318i
$832$	31.8264	−	3.96019i	1.10338	−	0.137295i
$833$	7.60463	+	18.2781i	0.263485	+	0.633297i
$834$	−47.1509	−	12.6340i	−1.63270	−	0.437481i
$835$	−3.47747	+	6.02315i	−0.120343	+	0.208440i
$836$	2.04891	+	3.54881i	0.0708629	+	0.122738i
$837$	−4.03696	−	15.0662i	−0.139538	−	0.520762i
$838$	−23.6203	−	23.6203i	−0.815950	−	0.815950i
$839$	−12.0010	−	44.7884i	−0.414321	−	1.54627i	−0.786193	−	0.617982i	$-0.787951\pi$
$839$	−12.0010	−	44.7884i	−0.414321	−	1.54627i	0.371872	−	0.928284i	$-0.378716\pi$
$840$	20.7502	+	41.9942i	0.715950	+	1.44894i
$841$	0.290370	−	0.502936i	0.0100128	−	0.0173426i
$842$	−17.9920	−	10.3877i	−0.620044	−	0.357983i
$843$	−36.5163	+	36.5163i	−1.25769	+	1.25769i
$844$	1.98805	+	1.14780i	0.0684315	+	0.0395089i
$845$	0.481272	−	33.8665i	0.0165562	−	1.16504i
$846$			5.55885i			0.191117i
$847$	1.53922	−	23.7696i	0.0528882	−	0.816732i
$848$	−7.23098	−	12.5244i	−0.248313	−	0.430091i
$849$		−	49.8375i		−	1.71042i
$850$	−6.05457	+	1.62232i	−0.207670	+	0.0556450i
$851$	9.05845	+	2.42720i	0.310520	+	0.0832035i
$852$	−8.37998	+	8.37998i	−0.287094	+	0.287094i
$853$	3.22439	−	3.22439i	0.110401	−	0.110401i	−0.649748	−	0.760149i	$-0.725126\pi$
$853$	3.22439	−	3.22439i	0.110401	−	0.110401i	0.760149	+	0.649748i	$0.225126\pi$
$854$	25.0753	−	5.00823i	0.858059	−	0.171378i
$855$	−27.5571	+	15.9101i	−0.942434	+	0.544115i
$856$	5.24266	−	1.40477i	0.179191	−	0.0480140i
$857$	−12.4518	+	21.5671i	−0.425345	+	0.736719i	−0.996453	−	0.0841565i	$-0.973180\pi$
$857$	−12.4518	+	21.5671i	−0.425345	+	0.736719i	0.571108	+	0.820875i	$0.306514\pi$
$858$	−5.47085	+	12.9468i	−0.186772	+	0.441998i
$859$	25.4805	−	14.7112i	0.869383	−	0.501939i	0.00224010	−	0.999997i	$-0.499287\pi$
$859$	25.4805	−	14.7112i	0.869383	−	0.501939i	0.867143	+	0.498059i	$0.165954\pi$
$860$	−0.306814	+	1.14505i	−0.0104623	+	0.0390457i
$861$	54.2835	+	18.3793i	1.84998	+	0.626365i
$862$	−6.67673	−	3.85481i	−0.227410	−	0.131295i
$863$	15.7730	+	4.22635i	0.536918	+	0.143867i	0.517081	−	0.855936i	$-0.327019\pi$
$863$	15.7730	+	4.22635i	0.536918	+	0.143867i	0.0198370	+	0.999803i	$0.493685\pi$
$864$	1.54771	−	5.77613i	0.0526541	−	0.196508i
$865$	−1.03976	+	3.88044i	−0.0353529	+	0.131939i
$866$	13.3098	+	3.56636i	0.452286	+	0.121190i
$867$	17.3478	+	10.0158i	0.589162	+	0.340153i
$868$	−6.16133	+	5.41189i	−0.209129	+	0.183692i
$869$	−2.03653	+	7.60044i	−0.0690846	+	0.257827i
$870$	33.1797	−	19.1563i	1.12490	−	0.649459i
$871$	37.1777	+	28.9494i	1.25972	+	0.980913i
$872$	15.2267	−	26.3734i	0.515641	−	0.893117i
$873$	−5.62123	+	1.50620i	−0.190250	+	0.0509773i
$874$	−6.84262	+	3.95059i	−0.231455	+	0.133631i
$875$	−16.6350	+	14.6116i	−0.562366	+	0.493962i
$876$	−6.36861	+	6.36861i	−0.215175	+	0.215175i
$877$	−24.0308	+	24.0308i	−0.811464	+	0.811464i	−0.984853	−	0.173390i	$-0.944528\pi$
$877$	−24.0308	+	24.0308i	−0.811464	+	0.811464i	0.173390	+	0.984853i	$0.444528\pi$
$878$	−25.4619	−	6.82250i	−0.859298	−	0.230248i
$879$	10.1420	−	2.71753i	0.342080	−	0.0916601i
$880$			10.5242i			0.354770i
$881$	−3.17840	−	5.50515i	−0.107083	−	0.185473i	0.807504	−	0.589862i	$-0.200818\pi$
$881$	−3.17840	−	5.50515i	−0.107083	−	0.185473i	−0.914587	+	0.404388i	$0.867484\pi$
$882$	2.23713	+	16.7892i	0.0753281	+	0.565321i
$883$			19.8386i			0.667623i	0.942640	+	0.333811i	$0.108335\pi$
$883$			19.8386i			0.667623i	−0.942640	+	0.333811i	$0.891665\pi$
$884$	1.83942	−	4.35301i	0.0618663	−	0.146408i
$885$	38.3018	+	22.1135i	1.28750	+	0.743339i
$886$	−5.75888	+	5.75888i	−0.193473	+	0.193473i
$887$	0.925300	+	0.534222i	0.0310685	+	0.0179374i	0.515454	−	0.856917i	$-0.327623\pi$
$887$	0.925300	+	0.534222i	0.0310685	+	0.0179374i	−0.484385	+	0.874855i	$0.660957\pi$
$888$	31.2769	−	54.1732i	1.04959	−	1.81793i
$889$	−14.6768	+	7.25212i	−0.492245	+	0.243228i
$890$	−0.127980	−	0.477627i	−0.00428989	−	0.0160101i
$891$	11.0378	+	11.0378i	0.369780	+	0.369780i
$892$	2.12124	+	7.91659i	0.0710245	+	0.265067i
$893$	−7.18715	−	12.4485i	−0.240509	−	0.416574i
$894$	−23.0824	+	39.9799i	−0.771991	+	1.33713i
$895$	44.4820	+	11.9189i	1.48687	+	0.398406i
$896$	15.3023	−	3.05630i	0.511215	−	0.102104i
$897$	7.52920	+	3.18155i	0.251393	+	0.106229i
$898$	12.6772	+	21.9575i	0.423043	+	0.732732i
$899$	25.2113	+	25.2113i	0.840845	+	0.840845i
$900$	1.61748			0.0539159
$901$	−14.3091			−0.476706
$902$	12.0575	+	12.0575i	0.401472	+	0.401472i
$903$	−3.20761	+	4.80869i	−0.106743	+	0.160023i
$904$	−48.7323	+	13.0578i	−1.62081	+	0.434296i
$905$	0.610631	−	2.27891i	0.0202981	−	0.0757534i
$906$	21.0217	−	12.1369i	0.698398	−	0.403220i
$907$		−	2.39873i		−	0.0796484i	−0.999207	−	0.0398242i	$-0.987320\pi$
$907$		−	2.39873i		−	0.0796484i	0.999207	−	0.0398242i	$-0.0126798\pi$
$908$	−1.81899	−	6.78857i	−0.0603654	−	0.225287i
$909$	−10.3475			−0.343206
$910$	−1.82060	−	30.7543i	−0.0603523	−	1.01950i
$911$	−6.07001			−0.201108			−0.100554	−	0.994932i	$-0.532062\pi$
$911$	−6.07001			−0.201108			−0.100554	+	0.994932i	$0.532062\pi$
$912$	10.3004	+	38.4417i	0.341081	+	1.27293i
$913$		−	0.890162i		−	0.0294601i
$914$	0.768546	−	0.443720i	0.0254212	−	0.0146770i
$915$	11.6997	−	43.6637i	0.386779	−	1.44348i
$916$	6.70832	−	1.79749i	0.221649	−	0.0593907i
$917$	−5.88971	+	2.91023i	−0.194495	+	0.0961042i
$918$	5.78113	+	5.78113i	0.190806	+	0.190806i
$919$	−1.11980			−0.0369387			−0.0184693	−	0.999829i	$-0.505879\pi$
$919$	−1.11980			−0.0369387			−0.0184693	+	0.999829i	$0.505879\pi$
$920$	8.10495			0.267212
$921$	−8.41116	−	8.41116i	−0.277157	−	0.277157i
$922$	12.0562	+	20.8820i	0.397050	+	0.687712i
$923$	38.3907	−	15.5833i	1.26365	−	0.512931i
$924$	1.23661	−	3.65233i	0.0406813	−	0.120153i
$925$	−15.8985	−	4.25999i	−0.522740	−	0.140068i
$926$	20.9151	−	36.2260i	0.687312	−	1.19046i
$927$	−4.70385	−	8.14731i	−0.154495	−	0.267593i
$928$	3.53787	+	13.2035i	0.116136	+	0.433426i
$929$	21.9510	+	21.9510i	0.720190	+	0.720190i	0.968644	−	0.248454i	$-0.0799224\pi$
$929$	21.9510	+	21.9510i	0.720190	+	0.720190i	−0.248454	+	0.968644i	$0.579922\pi$
$930$	−12.4404	−	46.4284i	−0.407938	−	1.52245i
$931$	−26.7169	−	34.7053i	−0.875611	−	1.13742i
$932$	−1.43962	+	2.49349i	−0.0471562	+	0.0816770i
$933$	−4.88273	−	2.81905i	−0.159853	−	0.0922914i
$934$	5.19655	−	5.19655i	0.170036	−	0.170036i
$935$	9.01787	+	5.20647i	0.294916	+	0.170270i
$936$	13.2040	−	16.9570i	0.431586	−	0.554256i
$937$		−	7.31506i		−	0.238973i	−0.992836	−	0.119486i	$-0.961875\pi$
$937$		−	7.31506i		−	0.238973i	0.992836	−	0.119486i	$-0.0381248\pi$
$938$	35.6555	+	23.7838i	1.16419	+	0.776569i
$939$	5.93612	+	10.2817i	0.193718	+	0.335529i
$940$			2.77394i			0.0904760i
$941$	2.34838	−	0.629247i	0.0765550	−	0.0205129i	−0.220338	−	0.975424i	$-0.570716\pi$
$941$	2.34838	−	0.629247i	0.0765550	−	0.0205129i	0.296893	+	0.954911i	$0.404049\pi$
$942$	13.5020	+	3.61785i	0.439919	+	0.117876i
$943$	7.01202	−	7.01202i	0.228343	−	0.228343i
$944$	15.4179	−	15.4179i	0.501812	−	0.501812i
$945$	−15.2268	−	5.15547i	−0.495326	−	0.167708i
$946$	−1.48944	+	0.859928i	−0.0484258	+	0.0279587i
$947$	−22.4373	+	6.01204i	−0.729113	+	0.195365i	−0.604234	−	0.796807i	$-0.706521\pi$
$947$	−22.4373	+	6.01204i	−0.729113	+	0.195365i	−0.124879	+	0.992172i	$0.539854\pi$
$948$	2.87108	−	4.97286i	0.0932485	−	0.161511i
$949$	29.1761	−	11.8430i	0.947098	−	0.384440i
$950$	12.0095	−	6.93369i	0.389640	−	0.224959i
$951$	−7.30381	+	27.2582i	−0.236842	+	0.883907i
$952$	7.32757	−	21.6421i	0.237488	−	0.701423i
$953$	−33.8286	−	19.5310i	−1.09582	−	0.632670i	−0.160697	−	0.987004i	$-0.551374\pi$
$953$	−33.8286	−	19.5310i	−1.09582	−	0.632670i	−0.935119	+	0.354334i	$0.884708\pi$
$954$	−11.8252	−	3.16856i	−0.382856	−	0.102586i
$955$	−15.7971	+	58.9555i	−0.511181	+	1.90775i
$956$	−2.40571	+	8.97823i	−0.0778062	+	0.290377i
$957$	−16.1936	−	4.33906i	−0.523465	−	0.140262i
$958$	23.9844	+	13.8474i	0.774900	+	0.447388i
$959$	11.1695	−	32.9892i	0.360681	−	1.06528i
$960$	13.3478	−	49.8145i	0.430797	−	1.60776i
$961$	11.8914	−	6.86551i	0.383594	−	0.221468i
$962$	−32.8179	+	24.8136i	−1.05809	+	0.800022i
$963$	1.73476	−	3.00470i	0.0559019	−	0.0968249i
$964$	0.514237	−	0.137789i	0.0165625	−	0.00443790i
$965$	26.9027	−	15.5323i	0.866030	−	0.500003i
$966$	7.04222	+	2.38436i	0.226580	+	0.0767154i
$967$	−37.5795	+	37.5795i	−1.20848	+	1.20848i	−0.236956	+	0.971520i	$0.576150\pi$
$967$	−37.5795	+	37.5795i	−1.20848	+	1.20848i	−0.971520	+	0.236956i	$0.923850\pi$
$968$	−19.4394	+	19.4394i	−0.624806	+	0.624806i
$969$	38.0354	+	10.1915i	1.22187	+	0.327400i
$970$	9.30033	−	2.49202i	0.298616	−	0.0800138i
$971$			29.3313i			0.941285i	0.882324	+	0.470642i	$0.155978\pi$
$971$			29.3313i			0.941285i	−0.882324	+	0.470642i	$0.844022\pi$
$972$	−4.07450	−	7.05723i	−0.130690	−	0.226361i
$973$	−38.9497	−	25.9812i	−1.24867	−	0.832919i
$974$		−	6.66054i		−	0.213417i
$975$	−13.2145	−	5.58396i	−0.423203	−	0.178830i
$976$	−19.3002	−	11.1430i	−0.617783	−	0.356677i
$977$	−38.8149	+	38.8149i	−1.24180	+	1.24180i	−0.282544	+	0.959254i	$0.591178\pi$
$977$	−38.8149	+	38.8149i	−1.24180	+	1.24180i	−0.959254	+	0.282544i	$0.908822\pi$
$978$	−6.00115	−	3.46476i	−0.191896	−	0.110791i
$979$	−0.108187	+	0.187385i	−0.00345766	+	0.00598884i
$980$	1.11636	+	8.37802i	0.0356607	+	0.267626i
$981$	−5.03841	−	18.8036i	−0.160864	−	0.600353i
$982$	−8.64302	−	8.64302i	−0.275810	−	0.275810i
$983$	11.1821	+	41.7323i	0.356654	+	1.33105i	0.878390	+	0.477945i	$0.158618\pi$
$983$	11.1821	+	41.7323i	0.356654	+	1.33105i	−0.521735	+	0.853107i	$0.674715\pi$
$984$	−33.0729	−	57.2840i	−1.05433	−	1.82615i
$985$	−13.5243	+	23.4248i	−0.430920	+	0.746376i
$986$	−18.0519	−	4.83701i	−0.574891	−	0.154042i
$987$	−4.33776	+	12.8116i	−0.138073	+	0.407799i
$988$	−1.43825	+	10.3555i	−0.0457569	+	0.329453i
$989$	0.500088	+	0.866178i	0.0159019	+	0.0275429i
$990$	6.29958	+	6.29958i	0.200214	+	0.200214i
$991$	30.6608			0.973972			0.486986	−	0.873410i	$-0.338096\pi$
$991$	30.6608			0.973972			0.486986	+	0.873410i	$0.338096\pi$
$992$	17.1492			0.544487
$993$	14.0851	+	14.0851i	0.446978	+	0.446978i
$994$	33.7878	−	16.6953i	1.07168	−	0.529542i
$995$	10.0039	−	2.68053i	0.317144	−	0.0849785i
$996$	−0.168130	+	0.627471i	−0.00532742	+	0.0198822i
$997$	28.4041	−	16.3991i	0.899567	−	0.519365i	0.0225074	−	0.999747i	$-0.492835\pi$
$997$	28.4041	−	16.3991i	0.899567	−	0.519365i	0.877060	+	0.480381i	$0.159502\pi$
$998$		−	0.346204i		−	0.0109589i
$999$	5.55645	+	20.7370i	0.175798	+	0.656089i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.w.a.80.3	yes	28
3.2	odd	2		819.2.gh.b.262.5		28
7.2	even	3		637.2.bb.a.509.3		28
7.3	odd	6		637.2.bd.b.587.5		28
7.4	even	3		637.2.bd.a.587.5		28
7.5	odd	6		91.2.ba.a.54.3	yes	28
7.6	odd	2		637.2.x.a.80.3		28
13.7	odd	12		91.2.ba.a.59.3	yes	28
21.5	even	6		819.2.et.b.145.5		28
39.20	even	12		819.2.et.b.514.5		28
91.20	even	12		637.2.bb.a.423.3		28
91.33	even	12	inner	91.2.w.a.33.3	✓	28
91.46	odd	12		637.2.bd.b.293.5		28
91.59	even	12		637.2.bd.a.293.5		28
91.72	odd	12		637.2.x.a.215.3		28
273.215	odd	12		819.2.gh.b.397.5		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.3	✓	28	91.33	even	12	inner
91.2.w.a.80.3	yes	28	1.1	even	1	trivial
91.2.ba.a.54.3	yes	28	7.5	odd	6
91.2.ba.a.59.3	yes	28	13.7	odd	12
637.2.x.a.80.3		28	7.6	odd	2
637.2.x.a.215.3		28	91.72	odd	12
637.2.bb.a.423.3		28	91.20	even	12
637.2.bb.a.509.3		28	7.2	even	3
637.2.bd.a.293.5		28	91.59	even	12
637.2.bd.a.587.5		28	7.4	even	3
637.2.bd.b.293.5		28	91.46	odd	12
637.2.bd.b.587.5		28	7.3	odd	6
819.2.et.b.145.5		28	21.5	even	6
819.2.et.b.514.5		28	39.20	even	12
819.2.gh.b.262.5		28	3.2	odd	2
819.2.gh.b.397.5		28	273.215	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.320827 - 1.19734i) q^{2} +2.22531i q^{3} +(0.401352 - 0.231720i) q^{4} +(-0.674321 + 2.51660i) q^{5} +(2.66446 - 0.713939i) q^{6} +(2.64022 + 0.170970i) q^{7} +(-2.15924 - 2.15924i) q^{8} -1.95199 q^{9} +O(q^{10})\)	\(q+(-0.320827 - 1.19734i) q^{2} +2.22531i q^{3} +(0.401352 - 0.231720i) q^{4} +(-0.674321 + 2.51660i) q^{5} +(2.66446 - 0.713939i) q^{6} +(2.64022 + 0.170970i) q^{7} +(-2.15924 - 2.15924i) q^{8} -1.95199 q^{9} +3.22957 q^{10} +(-0.999283 - 0.999283i) q^{11} +(0.515649 + 0.893131i) q^{12} +(-0.445209 - 3.57796i) q^{13} +(-0.642345 - 3.21610i) q^{14} +(-5.60021 - 1.50057i) q^{15} +(-1.42917 + 2.47540i) q^{16} +(1.41406 + 2.44923i) q^{17} +(0.626252 + 2.33720i) q^{18} +(-4.42425 - 4.42425i) q^{19} +(0.312508 + 1.16630i) q^{20} +(-0.380461 + 5.87530i) q^{21} +(-0.875887 + 1.51708i) q^{22} +(0.882253 + 0.509369i) q^{23} +(4.80498 - 4.80498i) q^{24} +(-1.54845 - 0.893996i) q^{25} +(-4.14121 + 1.68097i) q^{26} +2.33214i q^{27} +(1.09927 - 0.543174i) q^{28} +(-2.66549 - 4.61676i) q^{29} +7.18680i q^{30} +(-6.46023 + 1.73101i) q^{31} +(-2.47675 - 0.663644i) q^{32} +(2.22371 - 2.22371i) q^{33} +(2.47890 - 2.47890i) q^{34} +(-2.21062 + 6.52910i) q^{35} +(-0.783435 + 0.452317i) q^{36} +(8.89183 - 2.38256i) q^{37} +(-3.87792 + 6.71676i) q^{38} +(7.96206 - 0.990727i) q^{39} +(6.88998 - 3.97793i) q^{40} +(2.51937 - 9.40242i) q^{41} +(7.15681 - 1.42941i) q^{42} +(0.850246 + 0.490890i) q^{43} +(-0.632618 - 0.169509i) q^{44} +(1.31627 - 4.91239i) q^{45} +(0.326839 - 1.21978i) q^{46} +(2.21910 + 0.594605i) q^{47} +(-5.50852 - 3.18034i) q^{48} +(6.94154 + 0.902797i) q^{49} +(-0.573636 + 2.14084i) q^{50} +(-5.45029 + 3.14673i) q^{51} +(-1.00777 - 1.33286i) q^{52} +(-2.52978 + 4.38171i) q^{53} +(2.79237 - 0.748213i) q^{54} +(3.18863 - 1.84096i) q^{55} +(-5.33172 - 6.07005i) q^{56} +(9.84531 - 9.84531i) q^{57} +(-4.67268 + 4.67268i) q^{58} +(-7.36837 - 1.97435i) q^{59} +(-2.59537 + 0.695426i) q^{60} +7.79680i q^{61} +(4.14523 + 7.17976i) q^{62} +(-5.15369 - 0.333732i) q^{63} +8.89512i q^{64} +(9.30451 + 1.29228i) q^{65} +(-3.37597 - 1.94912i) q^{66} +(-9.24089 + 9.24089i) q^{67} +(1.13507 + 0.655335i) q^{68} +(-1.13350 + 1.96328i) q^{69} +(8.52679 + 0.552160i) q^{70} +(2.97420 + 11.0999i) q^{71} +(4.21483 + 4.21483i) q^{72} +(2.26033 + 8.43566i) q^{73} +(-5.70548 - 9.88218i) q^{74} +(1.98942 - 3.44577i) q^{75} +(-2.80087 - 0.750490i) q^{76} +(-2.46748 - 2.80917i) q^{77} +(-3.74068 - 9.21546i) q^{78} +(-2.78395 - 4.82194i) q^{79} +(-5.26586 - 5.26586i) q^{80} -11.0457 q^{81} -12.0662 q^{82} +(0.445401 + 0.445401i) q^{83} +(1.20873 + 2.44622i) q^{84} +(-7.11727 + 1.90707i) q^{85} +(0.314981 - 1.17553i) q^{86} +(10.2737 - 5.93153i) q^{87} +4.31539i q^{88} +(-0.0396274 - 0.147892i) q^{89} -6.30411 q^{90} +(-0.563727 - 9.52272i) q^{91} +0.472125 q^{92} +(-3.85204 - 14.3760i) q^{93} -2.84778i q^{94} +(14.1174 - 8.15070i) q^{95} +(1.47681 - 5.51153i) q^{96} +(2.87974 - 0.771623i) q^{97} +(-1.14608 - 8.60104i) q^{98} +(1.95059 + 1.95059i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

Introduction

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