LMFDB - Embedded newform 91.2.ba.a.59.7

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			59.7
Character	$\chi$	$=$	91.59
Dual form			91.2.ba.a.54.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.51485 + 1.51485i) q^{2} +(0.0170886 - 0.00986613i) q^{3} +2.58954i q^{4} +(-1.34505 - 0.360406i) q^{5} +(0.0408324 + 0.0109410i) q^{6} +(-0.246373 - 2.63426i) q^{7} +(-0.893066 + 0.893066i) q^{8} +(-1.49981 + 2.59774i) q^{9} +O(q^{10})$	\(q+(1.51485 + 1.51485i) q^{2} +(0.0170886 - 0.00986613i) q^{3} +2.58954i q^{4} +(-1.34505 - 0.360406i) q^{5} +(0.0408324 + 0.0109410i) q^{6} +(-0.246373 - 2.63426i) q^{7} +(-0.893066 + 0.893066i) q^{8} +(-1.49981 + 2.59774i) q^{9} +(-1.49159 - 2.58351i) q^{10} +(0.336721 + 0.0902242i) q^{11} +(0.0255487 + 0.0442517i) q^{12} +(-1.32860 - 3.35184i) q^{13} +(3.61728 - 4.36372i) q^{14} +(-0.0265409 + 0.00711162i) q^{15} +2.47336 q^{16} -0.982239 q^{17} +(-6.20717 + 1.66320i) q^{18} +(1.19250 + 4.45046i) q^{19} +(0.933286 - 3.48307i) q^{20} +(-0.0302001 - 0.0425851i) q^{21} +(0.373406 + 0.646758i) q^{22} +3.30540i q^{23} +(-0.00645018 + 0.0240724i) q^{24} +(-2.65085 - 1.53047i) q^{25} +(3.06491 - 7.09016i) q^{26} +0.118386i q^{27} +(6.82151 - 0.637994i) q^{28} +(-0.941928 + 1.63147i) q^{29} +(-0.0509786 - 0.0294325i) q^{30} +(-0.755562 - 2.81980i) q^{31} +(5.53290 + 5.53290i) q^{32} +(0.00664427 - 0.00178033i) q^{33} +(-1.48794 - 1.48794i) q^{34} +(-0.618016 + 3.63201i) q^{35} +(-6.72695 - 3.88381i) q^{36} +(5.79522 - 5.79522i) q^{37} +(-4.93532 + 8.54823i) q^{38} +(-0.0557736 - 0.0441703i) q^{39} +(1.52309 - 0.879355i) q^{40} +(0.580331 + 2.16583i) q^{41} +(0.0187614 - 0.110259i) q^{42} +(-6.47031 + 3.73564i) q^{43} +(-0.233639 + 0.871953i) q^{44} +(2.95356 - 2.95356i) q^{45} +(-5.00718 + 5.00718i) q^{46} +(-2.83465 + 10.5791i) q^{47} +(0.0422663 - 0.0244025i) q^{48} +(-6.87860 + 1.29802i) q^{49} +(-1.69721 - 6.33408i) q^{50} +(-0.0167851 + 0.00969089i) q^{51} +(8.67973 - 3.44045i) q^{52} +(3.77305 - 6.53511i) q^{53} +(-0.179337 + 0.179337i) q^{54} +(-0.420391 - 0.242713i) q^{55} +(2.57259 + 2.13254i) q^{56} +(0.0642869 + 0.0642869i) q^{57} +(-3.89831 + 1.04455i) q^{58} +(10.7864 + 10.7864i) q^{59} +(-0.0184158 - 0.0687288i) q^{60} +(-5.59044 - 3.22764i) q^{61} +(3.12700 - 5.41613i) q^{62} +(7.21262 + 3.31086i) q^{63} +11.8163i q^{64} +(0.579009 + 4.98724i) q^{65} +(0.0127620 + 0.00736814i) q^{66} +(2.61216 - 9.74870i) q^{67} -2.54355i q^{68} +(0.0326115 + 0.0564847i) q^{69} +(-6.43815 + 4.56574i) q^{70} +(2.43186 - 9.07582i) q^{71} +(-0.980528 - 3.65938i) q^{72} +(10.3048 - 2.76117i) q^{73} +17.5578 q^{74} -0.0603993 q^{75} +(-11.5246 + 3.08802i) q^{76} +(0.154714 - 0.909238i) q^{77} +(-0.0175773 - 0.151400i) q^{78} +(0.890418 + 1.54225i) q^{79} +(-3.32680 - 0.891413i) q^{80} +(-4.49825 - 7.79119i) q^{81} +(-2.40179 + 4.16002i) q^{82} +(8.33002 - 8.33002i) q^{83} +(0.110276 - 0.0782044i) q^{84} +(1.32116 + 0.354005i) q^{85} +(-15.4605 - 4.14262i) q^{86} +0.0371727i q^{87} +(-0.381291 + 0.220138i) q^{88} +(-9.61466 - 9.61466i) q^{89} +8.94839 q^{90} +(-8.50227 + 4.32566i) q^{91} -8.55946 q^{92} +(-0.0407320 - 0.0407320i) q^{93} +(-20.3198 + 11.7316i) q^{94} -6.41589i q^{95} +(0.149138 + 0.0399614i) q^{96} +(-12.6772 - 3.39684i) q^{97} +(-12.3864 - 8.45374i) q^{98} +(-0.739395 + 0.739395i) 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 $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	1.51485	+	1.51485i	1.07116	+	1.07116i	0.997266	+	0.0738947i	$0.0235429\pi$
$2$	1.51485	+	1.51485i	1.07116	+	1.07116i	0.0738947	+	0.997266i	$0.476457\pi$
$3$	0.0170886	−	0.00986613i	0.00986613	−	0.00569621i	−0.495059	−	0.868859i	$-0.664853\pi$
$3$	0.0170886	−	0.00986613i	0.00986613	−	0.00569621i	0.504925	+	0.863163i	$0.331520\pi$
$4$			2.58954i			1.29477i
$5$	−1.34505	−	0.360406i	−0.601526	−	0.161178i	−0.0548104	−	0.998497i	$-0.517455\pi$
$5$	−1.34505	−	0.360406i	−0.601526	−	0.161178i	−0.546716	+	0.837318i	$0.684122\pi$
$6$	0.0408324	+	0.0109410i	0.0166698	+	0.00446665i
$7$	−0.246373	−	2.63426i	−0.0931204	−	0.995655i
$7$	−0.246373	−	2.63426i	−0.0931204	−	0.995655i
$8$	−0.893066	+	0.893066i	−0.315747	+	0.315747i
$9$	−1.49981	+	2.59774i	−0.499935	+	0.865913i
$10$	−1.49159	−	2.58351i	−0.471683	−	0.816979i
$11$	0.336721	+	0.0902242i	0.101525	+	0.0272036i	0.309224	−	0.950989i	$-0.399931\pi$
$11$	0.336721	+	0.0902242i	0.101525	+	0.0272036i	−0.207699	+	0.978193i	$0.566597\pi$
$12$	0.0255487	+	0.0442517i	0.00737529	+	0.0127744i
$13$	−1.32860	−	3.35184i	−0.368486	−	0.929633i
$13$	−1.32860	−	3.35184i	−0.368486	−	0.929633i
$14$	3.61728	−	4.36372i	0.966759	−	1.16625i
$15$	−0.0265409	+	0.00711162i	−0.00685284	+	0.00183621i
$16$	2.47336			0.618340
$17$	−0.982239			−0.238228			−0.119114	−	0.992881i	$-0.538005\pi$
$17$	−0.982239			−0.238228			−0.119114	+	0.992881i	$0.538005\pi$
$18$	−6.20717	+	1.66320i	−1.46304	+	0.392021i
$19$	1.19250	+	4.45046i	0.273578	+	1.02101i	0.956789	+	0.290784i	$0.0939162\pi$
$19$	1.19250	+	4.45046i	0.273578	+	1.02101i	−0.683211	+	0.730221i	$0.739417\pi$
$20$	0.933286	−	3.48307i	0.208689	−	0.778838i
$21$	−0.0302001	−	0.0425851i	−0.00659020	−	0.00929282i
$22$	0.373406	+	0.646758i	0.0796104	+	0.137889i
$23$			3.30540i			0.689223i	0.938745	+	0.344612i	$0.111989\pi$
$23$			3.30540i			0.689223i	−0.938745	+	0.344612i	$0.888011\pi$
$24$	−0.00645018	+	0.0240724i	−0.00131664	+	0.00491376i
$25$	−2.65085	−	1.53047i	−0.530170	−	0.306094i
$26$	3.06491	−	7.09016i	0.601079	−	1.39049i
$27$			0.118386i			0.0227834i
$28$	6.82151	−	0.637994i	1.28914	−	0.120570i
$29$	−0.941928	+	1.63147i	−0.174912	+	0.302956i	−0.940131	−	0.340814i	$-0.889297\pi$
$29$	−0.941928	+	1.63147i	−0.174912	+	0.302956i	0.765219	+	0.643770i	$0.222631\pi$
$30$	−0.0509786	−	0.0294325i	−0.00930737	−	0.00537361i
$31$	−0.755562	−	2.81980i	−0.135703	−	0.506450i	−0.999994	−	0.00345828i	$-0.998899\pi$
$31$	−0.755562	−	2.81980i	−0.135703	−	0.506450i	0.864291	−	0.502992i	$-0.167767\pi$
$32$	5.53290	+	5.53290i	0.978088	+	0.978088i
$33$	0.00664427	−	0.00178033i	0.00115662	−	0.000309915i
$34$	−1.48794	−	1.48794i	−0.255180	−	0.255180i
$35$	−0.618016	+	3.63201i	−0.104464	+	0.613921i
$36$	−6.72695	−	3.88381i	−1.12116	−	0.647301i
$37$	5.79522	−	5.79522i	0.952728	−	0.952728i	−0.0462036	−	0.998932i	$-0.514712\pi$
$37$	5.79522	−	5.79522i	0.952728	−	0.952728i	0.998932	+	0.0462036i	$0.0147123\pi$
$38$	−4.93532	+	8.54823i	−0.800615	+	1.38671i
$39$	−0.0557736	−	0.0441703i	−0.00893092	−	0.00707291i
$40$	1.52309	−	0.879355i	0.240821	−	0.139038i
$41$	0.580331	+	2.16583i	0.0906326	+	0.338245i	0.996321	−	0.0856983i	$-0.0273121\pi$
$41$	0.580331	+	2.16583i	0.0906326	+	0.338245i	−0.905689	+	0.423944i	$0.860645\pi$
$42$	0.0187614	−	0.110259i	0.00289495	−	0.0170133i
$43$	−6.47031	+	3.73564i	−0.986714	+	0.569679i	−0.904290	−	0.426918i	$-0.859599\pi$
$43$	−6.47031	+	3.73564i	−0.986714	+	0.569679i	−0.0824233	+	0.996597i	$0.526266\pi$
$44$	−0.233639	+	0.871953i	−0.0352224	+	0.131452i
$45$	2.95356	−	2.95356i	0.440290	−	0.440290i
$46$	−5.00718	+	5.00718i	−0.738269	+	0.738269i
$47$	−2.83465	+	10.5791i	−0.413476	+	1.54311i	0.374392	+	0.927271i	$0.377852\pi$
$47$	−2.83465	+	10.5791i	−0.413476	+	1.54311i	−0.787868	+	0.615844i	$0.788815\pi$
$48$	0.0422663	−	0.0244025i	0.00610062	−	0.00352219i
$49$	−6.87860	+	1.29802i	−0.982657	+	0.185432i
$50$	−1.69721	−	6.33408i	−0.240022	−	0.895774i
$51$	−0.0167851	+	0.00969089i	−0.00235039	+	0.00135700i
$52$	8.67973	−	3.44045i	1.20366	−	0.477105i
$53$	3.77305	−	6.53511i	0.518268	−	0.897667i	−0.481507	−	0.876442i	$-0.659910\pi$
$53$	3.77305	−	6.53511i	0.518268	−	0.897667i	0.999775	−	0.0212243i	$-0.00675642\pi$
$54$	−0.179337	+	0.179337i	−0.0244046	+	0.0244046i
$55$	−0.420391	−	0.242713i	−0.0566855	−	0.0327274i
$56$	2.57259	+	2.13254i	0.343777	+	0.284972i
$57$	0.0642869	+	0.0642869i	0.00851501	+	0.00851501i
$58$	−3.89831	+	1.04455i	−0.511873	+	0.137156i
$59$	10.7864	+	10.7864i	1.40426	+	1.40426i	0.785860	+	0.618405i	$0.212221\pi$
$59$	10.7864	+	10.7864i	1.40426	+	1.40426i	0.618405	+	0.785860i	$0.287779\pi$
$60$	−0.0184158	−	0.0687288i	−0.00237747	−	0.00887285i
$61$	−5.59044	−	3.22764i	−0.715782	−	0.413257i	0.0974163	−	0.995244i	$-0.468942\pi$
$61$	−5.59044	−	3.22764i	−0.715782	−	0.413257i	−0.813198	+	0.581987i	$0.802276\pi$
$62$	3.12700	−	5.41613i	0.397130	−	0.687849i
$63$	7.21262	+	3.31086i	0.908705	+	0.417129i
$64$			11.8163i			1.47704i
$65$	0.579009	+	4.98724i	0.0718172	+	0.618591i
$66$	0.0127620	+	0.00736814i	0.00157089	+	0.000906956i
$67$	2.61216	−	9.74870i	0.319126	−	1.19099i	−0.600961	−	0.799279i	$-0.705215\pi$
$67$	2.61216	−	9.74870i	0.319126	−	1.19099i	0.920087	−	0.391715i	$-0.128118\pi$
$68$		−	2.54355i		−	0.308450i
$69$	0.0326115	+	0.0564847i	0.00392596	+	0.00679996i
$70$	−6.43815	+	4.56574i	−0.769506	+	0.545711i
$71$	2.43186	−	9.07582i	0.288608	−	1.07710i	−0.657554	−	0.753408i	$-0.728409\pi$
$71$	2.43186	−	9.07582i	0.288608	−	1.07710i	0.946162	−	0.323693i	$-0.104925\pi$
$72$	−0.980528	−	3.65938i	−0.115556	−	0.431262i
$73$	10.3048	−	2.76117i	1.20609	−	0.323170i	0.400862	−	0.916138i	$-0.368711\pi$
$73$	10.3048	−	2.76117i	1.20609	−	0.323170i	0.805226	+	0.592968i	$0.202044\pi$
$74$	17.5578			2.04105
$75$	−0.0603993			−0.00697430
$76$	−11.5246	+	3.08802i	−1.32197	+	0.354220i
$77$	0.154714	−	0.909238i	0.0176313	−	0.103617i
$78$	−0.0175773	−	0.151400i	−0.00199023	−	0.0171427i
$79$	0.890418	+	1.54225i	0.100180	+	0.173517i	0.911759	−	0.410726i	$-0.134725\pi$
$79$	0.890418	+	1.54225i	0.100180	+	0.173517i	−0.811579	+	0.584243i	$0.801392\pi$
$80$	−3.32680	−	0.891413i	−0.371947	−	0.0996630i
$81$	−4.49825	−	7.79119i	−0.499805	−	0.865688i
$82$	−2.40179	+	4.16002i	−0.265233	+	0.459397i
$83$	8.33002	−	8.33002i	0.914339	−	0.914339i	−0.0822710	−	0.996610i	$-0.526217\pi$
$83$	8.33002	−	8.33002i	0.914339	−	0.914339i	0.996610	+	0.0822710i	$0.0262173\pi$
$84$	0.110276	−	0.0782044i	0.0120321	−	0.00853279i
$85$	1.32116	+	0.354005i	0.143300	+	0.0383972i
$86$	−15.4605	−	4.14262i	−1.66715	−	0.446711i
$87$			0.0371727i			0.00398533i
$88$	−0.381291	+	0.220138i	−0.0406457	+	0.0234668i
$89$	−9.61466	−	9.61466i	−1.01915	−	1.01915i	−0.999813	−	0.0193394i	$-0.993844\pi$
$89$	−9.61466	−	9.61466i	−1.01915	−	1.01915i	−0.0193394	−	0.999813i	$-0.506156\pi$
$90$	8.94839			0.943244
$91$	−8.50227	+	4.32566i	−0.891280	+	0.453453i
$92$	−8.55946			−0.892386
$93$	−0.0407320	−	0.0407320i	−0.00422371	−	0.00422371i
$94$	−20.3198	+	11.7316i	−2.09582	+	1.21002i
$95$		−	6.41589i		−	0.658256i
$96$	0.149138	+	0.0399614i	0.0152213	+	0.00407854i
$97$	−12.6772	−	3.39684i	−1.28717	−	0.344897i	−0.450588	−	0.892732i	$-0.648786\pi$
$97$	−12.6772	−	3.39684i	−1.28717	−	0.344897i	−0.836587	+	0.547835i	$0.815452\pi$
$98$	−12.3864	−	8.45374i	−1.25121	−	0.853957i
$99$	−0.739395	+	0.739395i	−0.0743120	+	0.0743120i
$100$	3.96321	−	6.86449i	0.396321	−	0.686449i
$101$	0.556688	+	0.964211i	0.0553925	+	0.0959426i	0.892392	−	0.451261i	$-0.149026\pi$
$101$	0.556688	+	0.964211i	0.0553925	+	0.0959426i	−0.837000	+	0.547204i	$0.815692\pi$
$102$	−0.0401072	−	0.0107467i	−0.00397120	−	0.00106408i
$103$	3.57913	+	6.19923i	0.352662	+	0.610828i	0.986715	−	0.162461i	$-0.0519432\pi$
$103$	3.57913	+	6.19923i	0.352662	+	0.610828i	−0.634053	+	0.773290i	$0.718610\pi$
$104$	4.17994	+	1.80689i	0.409877	+	0.177180i
$105$	0.0252728	+	0.0681635i	0.00246637	+	0.00665207i
$106$	15.6153	−	4.18411i	1.51669	−	0.406397i
$107$	13.4520			1.30046			0.650229	−	0.759738i	$-0.274673\pi$
$107$	13.4520			1.30046			0.650229	+	0.759738i	$0.274673\pi$
$108$	−0.306565			−0.0294992
$109$	8.41418	−	2.25457i	0.805932	−	0.215949i	0.167745	−	0.985830i	$-0.446351\pi$
$109$	8.41418	−	2.25457i	0.805932	−	0.215949i	0.638187	+	0.769881i	$0.279685\pi$
$110$	−0.269155	−	1.00450i	−0.0256630	−	0.0957755i
$111$	0.0418560	−	0.156209i	0.00397280	−	0.0148267i
$112$	−0.609370	−	6.51546i	−0.0575800	−	0.615653i
$113$	1.70049	+	2.94534i	0.159969	+	0.277074i	0.934857	−	0.355024i	$-0.115527\pi$
$113$	1.70049	+	2.94534i	0.159969	+	0.277074i	−0.774888	+	0.632098i	$0.782194\pi$
$114$			0.194770i			0.0182419i
$115$	1.19128	−	4.44594i	0.111088	−	0.414586i
$116$	−4.22475	−	2.43916i	−0.392258	−	0.226470i
$117$	10.6998	+	1.57576i	0.989201	+	0.145679i
$118$			32.6794i			3.00839i
$119$	0.241997	+	2.58747i	0.0221839	+	0.237193i
$120$	0.0173517	−	0.0300540i	0.00158398	−	0.00274354i
$121$	−9.42104	−	5.43924i	−0.856458	−	0.494476i
$122$	−3.57928	−	13.3581i	−0.324053	−	1.20938i
$123$	0.0312854	+	0.0312854i	0.00282091	+	0.00282091i
$124$	7.30198	−	1.95656i	0.655737	−	0.175704i
$125$	7.93718	+	7.93718i	0.709923	+	0.709923i
$126$	5.91059	+	15.9415i	0.526557	+	1.42018i
$127$	4.20085	+	2.42536i	0.372765	+	0.215216i	0.674666	−	0.738123i	$-0.264288\pi$
$127$	4.20085	+	2.42536i	0.372765	+	0.215216i	−0.301901	+	0.953339i	$0.597621\pi$
$128$	−6.83414	+	6.83414i	−0.604058	+	0.604058i
$129$	−0.0737126	+	0.127674i	−0.00649003	+	0.0112411i
$130$	−6.67780	+	8.43203i	−0.585682	+	0.739538i
$131$	−1.98825	+	1.14792i	−0.173714	+	0.100294i	−0.584336	−	0.811512i	$-0.698645\pi$
$131$	−1.98825	+	1.14792i	−0.173714	+	0.100294i	0.410622	+	0.911806i	$0.365312\pi$
$132$	0.00461023	+	0.0172056i	0.000401269	+	0.00149756i
$133$	11.4298	−	4.23782i	0.991093	−	0.367465i
$134$	18.7249	−	10.8108i	1.61758	−	0.933911i
$135$	0.0426670	−	0.159235i	0.00367219	−	0.0137048i
$136$	0.877204	−	0.877204i	0.0752196	−	0.0752196i
$137$	−13.3241	+	13.3241i	−1.13835	+	1.13835i	−0.149609	+	0.988745i	$0.547802\pi$
$137$	−13.3241	+	13.3241i	−1.13835	+	1.13835i	−0.988745	+	0.149609i	$0.952198\pi$
$138$	−0.0361644	+	0.134967i	−0.00307852	+	0.0114892i
$139$	−13.0999	+	7.56325i	−1.11112	+	0.641506i	−0.939120	−	0.343590i	$-0.888357\pi$
$139$	−13.0999	+	7.56325i	−1.11112	+	0.641506i	−0.172002	+	0.985097i	$0.555024\pi$
$140$	−9.40523	−	1.60038i	−0.794887	−	0.135257i
$141$	0.0559341	+	0.208749i	0.00471050	+	0.0175798i
$142$	17.4324	−	10.0646i	1.46289	−	0.844602i
$143$	−0.144949	−	1.24851i	−0.0121213	−	0.104405i
$144$	−3.70956	+	6.42514i	−0.309130	+	0.535428i
$145$	1.85493	−	1.85493i	0.154044	−	0.154044i
$146$	19.7930	+	11.4275i	1.63808	+	0.945747i
$147$	−0.104739	+	0.0900465i	−0.00863876	+	0.00742691i
$148$	15.0070	+	15.0070i	1.23356	+	1.23356i
$149$	−15.1677	+	4.06418i	−1.24259	+	0.332951i	−0.819469	−	0.573123i	$-0.805732\pi$
$149$	−15.1677	+	4.06418i	−1.24259	+	0.332951i	−0.423120	+	0.906074i	$0.639065\pi$
$150$	−0.0914958	−	0.0914958i	−0.00747060	−	0.00747060i
$151$	1.15543	+	4.31214i	0.0940279	+	0.350917i	0.996870	−	0.0790547i	$-0.0251902\pi$
$151$	1.15543	+	4.31214i	0.0940279	+	0.350917i	−0.902842	+	0.429972i	$0.858524\pi$
$152$	−5.03953	−	2.90958i	−0.408760	−	0.235998i
$153$	1.47317	−	2.55160i	0.119098	−	0.206285i
$154$	1.61173	−	1.14299i	0.129877	−	0.0921048i
$155$			4.06508i			0.326515i
$156$	0.114381	−	0.144428i	0.00915779	−	0.0115635i
$157$	−3.77401	−	2.17892i	−0.301198	−	0.173897i	0.341783	−	0.939779i	$-0.388969\pi$
$157$	−3.77401	−	2.17892i	−0.301198	−	0.173897i	−0.642981	+	0.765882i	$0.722303\pi$
$158$	−0.987426	+	3.68513i	−0.0785554	+	0.293173i
$159$		−	0.148902i		−	0.0118087i
$160$	−5.44796	−	9.43613i	−0.430699	−	0.745992i
$161$	8.70726	−	0.814362i	0.686228	−	0.0641807i
$162$	4.98832	−	18.6167i	0.391919	−	1.46266i
$163$	−4.03483	−	15.0582i	−0.316032	−	1.17945i	−0.923025	−	0.384741i	$-0.874291\pi$
$163$	−4.03483	−	15.0582i	−0.316032	−	1.17945i	0.606992	−	0.794708i	$-0.292376\pi$
$164$	−5.60850	+	1.50279i	−0.437950	+	0.117348i
$165$	−0.00957853			−0.000745688
$166$	25.2375			1.95881
$167$	−12.6263	+	3.38321i	−0.977053	+	0.261800i	−0.711803	−	0.702379i	$-0.752121\pi$
$167$	−12.6263	+	3.38321i	−0.977053	+	0.261800i	−0.265250	+	0.964180i	$0.585454\pi$
$168$	0.0650020	+	0.0110606i	0.00501501	+	0.000853345i
$169$	−9.46967	+	8.90648i	−0.728436	+	0.685114i
$170$	1.46510	+	2.53763i	0.112368	+	0.194627i
$171$	−13.3496	−	3.57703i	−1.02087	−	0.273542i
$172$	−9.67359	−	16.7551i	−0.737604	−	1.27757i
$173$	−2.22746	+	3.85808i	−0.169351	+	0.293324i	−0.938192	−	0.346116i	$-0.887500\pi$
$173$	−2.22746	+	3.85808i	−0.169351	+	0.293324i	0.768841	+	0.639440i	$0.220834\pi$
$174$	−0.0563111	+	0.0563111i	−0.00426893	+	0.00426893i
$175$	−3.37855	+	7.36009i	−0.255394	+	0.556370i
$176$	0.832833	+	0.223157i	0.0627771	+	0.0168211i
$177$	0.290744	+	0.0779046i	0.0218536	+	0.00585567i
$178$		−	29.1295i		−	2.18335i
$179$	−10.4308	+	6.02223i	−0.779636	+	0.450123i	−0.836301	−	0.548270i	$-0.815287\pi$
$179$	−10.4308	+	6.02223i	−0.779636	+	0.450123i	0.0566654	+	0.998393i	$0.481953\pi$
$180$	7.64836	+	7.64836i	0.570075	+	0.570075i
$181$	23.4597			1.74374			0.871871	−	0.489735i	$-0.162907\pi$
$181$	23.4597			1.74374			0.871871	+	0.489735i	$0.162907\pi$
$182$	−19.4324	−	6.32693i	−1.44043	−	0.468984i
$183$	−0.127377			−0.00941599
$184$	−2.95194	−	2.95194i	−0.217620	−	0.217620i
$185$	−9.88351	+	5.70625i	−0.726650	+	0.419532i
$186$		−	0.123406i		−	0.00904855i
$187$	−0.330741	−	0.0886217i	−0.0241862	−	0.00648066i
$188$	−27.3949	−	7.34044i	−1.99798	−	0.535357i
$189$	0.311859	−	0.0291671i	0.0226844	−	0.00212160i
$190$	9.71910	−	9.71910i	0.705098	−	0.705098i
$191$	−5.04478	+	8.73782i	−0.365028	+	0.632247i	−0.988781	−	0.149375i	$-0.952274\pi$
$191$	−5.04478	+	8.73782i	−0.365028	+	0.632247i	0.623753	+	0.781622i	$0.285607\pi$
$192$	0.116581	+	0.201925i	0.00841353	+	0.0145727i
$193$	14.5144	+	3.88911i	1.04477	+	0.279944i	0.740087	−	0.672511i	$-0.234784\pi$
$193$	14.5144	+	3.88911i	1.04477	+	0.279944i	0.304679	+	0.952455i	$0.401451\pi$
$194$	−14.0583	−	24.3498i	−1.00933	−	1.74821i
$195$	0.0590992	+	0.0795125i	0.00423218	+	0.00569401i
$196$	−3.36128	−	17.8124i	−0.240091	−	1.27232i
$197$	−8.74176	+	2.34235i	−0.622825	+	0.166885i	−0.556412	−	0.830907i	$-0.687822\pi$
$197$	−8.74176	+	2.34235i	−0.622825	+	0.166885i	−0.0664131	+	0.997792i	$0.521156\pi$
$198$	−2.24015			−0.159200
$199$	−5.73738			−0.406712			−0.203356	−	0.979105i	$-0.565185\pi$
$199$	−5.73738			−0.406712			−0.203356	+	0.979105i	$0.565185\pi$
$200$	3.73420	−	1.00058i	0.264048	−	0.0707513i
$201$	−0.0515438	−	0.192364i	−0.00363562	−	0.0135683i
$202$	−0.617337	+	2.30393i	−0.0434357	+	0.162104i
$203$	4.52977	+	2.07933i	0.317927	+	0.145940i
$204$	−0.0250950	−	0.0434658i	−0.00175700	−	0.00304321i
$205$		−	3.12231i		−	0.218071i
$206$	−3.96906	+	14.8127i	−0.276538	+	1.03205i
$207$	−8.58656	−	4.95745i	−0.596807	−	0.344567i
$208$	−3.28609	−	8.29031i	−0.227850	−	0.574829i
$209$			1.60616i			0.111100i
$210$	−0.0649729	+	0.141542i	−0.00448356	+	0.00976732i
$211$	−1.22030	+	2.11362i	−0.0840090	+	0.145508i	−0.904969	−	0.425479i	$-0.860106\pi$
$211$	−1.22030	+	2.11362i	−0.0840090	+	0.145508i	0.820959	+	0.570986i	$0.193439\pi$
$212$	16.9229	+	9.77047i	1.16227	+	0.671038i
$213$	−0.0479860	−	0.179086i	−0.00328795	−	0.0122708i
$214$	20.3778	+	20.3778i	1.39300	+	1.39300i
$215$	10.0493	−	2.69269i	0.685354	−	0.183640i
$216$	−0.105726	−	0.105726i	−0.00719377	−	0.00719377i
$217$	−7.24191	+	2.68507i	−0.491613	+	0.182274i
$218$	16.1616	+	9.33088i	1.09460	+	0.631967i
$219$	0.148853	−	0.148853i	0.0100586	−	0.0100586i
$220$	0.628514	−	1.08862i	0.0423744	−	0.0733947i
$221$	1.30500	+	3.29231i	0.0877837	+	0.221465i
$222$	0.300039	−	0.173227i	0.0201373	−	0.0116263i
$223$	−1.13460	−	4.23437i	−0.0759782	−	0.283554i	0.917475	−	0.397793i	$-0.130224\pi$
$223$	−1.13460	−	4.23437i	−0.0759782	−	0.283554i	−0.993453	+	0.114239i	$0.963557\pi$
$224$	13.2119	−	15.9382i	0.882758	−	1.06492i
$225$	7.95152	−	4.59081i	0.530102	−	0.306054i
$226$	−1.88575	+	7.03773i	−0.125439	+	0.468143i
$227$	13.1360	−	13.1360i	0.871866	−	0.871866i	−0.120809	−	0.992676i	$-0.538549\pi$
$227$	13.1360	−	13.1360i	0.871866	−	0.871866i	0.992676	+	0.120809i	$0.0385490\pi$
$228$	−0.166474	+	0.166474i	−0.0110250	+	0.0110250i
$229$	2.42113	−	9.03577i	0.159993	−	0.597100i	−0.838633	−	0.544696i	$-0.816645\pi$
$229$	2.42113	−	9.03577i	0.159993	−	0.597100i	0.998626	−	0.0524040i	$-0.0166884\pi$
$230$	8.53954	−	4.93031i	0.563081	−	0.325095i
$231$	−0.00632681	−	0.0170641i	−0.000416273	−	0.00112273i
$232$	−0.615804	−	2.29821i	−0.0404295	−	0.150885i
$233$	−16.7047	+	9.64448i	−1.09436	+	0.631831i	−0.934735	−	0.355347i	$-0.884363\pi$
$233$	−16.7047	+	9.64448i	−1.09436	+	0.631831i	−0.159628	+	0.987177i	$0.551030\pi$
$234$	13.8216	+	18.5957i	0.903547	+	1.21564i
$235$	7.62551	−	13.2078i	0.497434	−	0.861580i
$236$	−27.9317	+	27.9317i	−1.81820	+	1.81820i
$237$	0.0304321	+	0.0175700i	0.00197677	+	0.00114129i
$238$	−3.55304	+	4.28621i	−0.230309	+	0.277834i
$239$	−0.192645	−	0.192645i	−0.0124612	−	0.0124612i	0.700849	−	0.713310i	$-0.252805\pi$
$239$	−0.192645	−	0.192645i	−0.0124612	−	0.0124612i	−0.713310	+	0.700849i	$0.752805\pi$
$240$	−0.0656453	+	0.0175896i	−0.00423738	+	0.00113540i
$241$	14.3156	+	14.3156i	0.922151	+	0.922151i	0.997181	−	0.0750302i	$-0.0239053\pi$
$241$	14.3156	+	14.3156i	0.922151	+	0.922151i	−0.0750302	+	0.997181i	$0.523905\pi$
$242$	−6.03183	−	22.5111i	−0.387741	−	1.44707i
$243$	−0.461313	−	0.266339i	−0.0295933	−	0.0170857i
$244$	8.35810	−	14.4767i	0.535073	−	0.926773i
$245$	9.71990	+	0.733182i	0.620981	+	0.0468413i
$246$			0.0947854i			0.00604329i
$247$	13.3329	−	9.90992i	0.848351	−	0.630553i
$248$	3.19303	+	1.84350i	0.202758	+	0.117062i
$249$	0.0601637	−	0.224534i	0.00381272	−	0.0142293i
$250$			24.0473i			1.52088i
$251$	0.965416	+	1.67215i	0.0609365	+	0.105545i	0.894884	−	0.446298i	$-0.147258\pi$
$251$	0.965416	+	1.67215i	0.0609365	+	0.105545i	−0.833948	+	0.551843i	$0.813925\pi$
$252$	−8.57360	+	18.6774i	−0.540086	+	1.17656i
$253$	−0.298227	+	1.11300i	−0.0187494	+	0.0699736i
$254$	2.68960	+	10.0377i	0.168760	+	0.629822i
$255$	0.0260695	−	0.00698531i	0.00163254	−	0.000437437i
$256$	2.92724			0.182952
$257$	−12.5547			−0.783143			−0.391572	−	0.920148i	$-0.628068\pi$
$257$	−12.5547			−0.783143			−0.391572	+	0.920148i	$0.628068\pi$
$258$	−0.305070	+	0.0817433i	−0.0189928	+	0.00508912i
$259$	−16.6939	−	13.8383i	−1.03731	−	0.859870i
$260$	−12.9147	+	1.49937i	−0.800933	+	0.0929868i
$261$	−2.82542	−	4.89377i	−0.174889	−	0.302917i
$262$	−4.75083	−	1.27298i	−0.293507	−	0.0786450i
$263$	−5.54102	−	9.59734i	−0.341674	−	0.591797i	0.643070	−	0.765808i	$-0.277661\pi$
$263$	−5.54102	−	9.59734i	−0.341674	−	0.591797i	−0.984744	+	0.174011i	$0.944327\pi$
$264$	−0.00434382	+	0.00752372i	−0.000267344	+	0.000463053i
$265$	−7.43024	+	7.43024i	−0.456436	+	0.456436i
$266$	23.7342	+	10.8948i	1.45523	+	0.668006i
$267$	−0.259161	−	0.0694420i	−0.0158604	−	0.00424978i
$268$	25.2447	+	6.76429i	1.54206	+	0.413195i
$269$		−	16.4027i		−	1.00009i	−0.866000	−	0.500044i	$-0.833317\pi$
$269$		−	16.4027i		−	1.00009i	0.866000	−	0.500044i	$-0.166683\pi$
$270$	0.305852	−	0.176583i	0.0186135	−	0.0107465i
$271$	0.381486	+	0.381486i	0.0231736	+	0.0231736i	0.718599	−	0.695425i	$-0.244784\pi$
$271$	0.381486	+	0.381486i	0.0231736	+	0.0231736i	−0.695425	+	0.718599i	$0.744784\pi$
$272$	−2.42943			−0.147306
$273$	−0.102615	+	0.157804i	−0.00621052	+	0.00955074i
$274$	−40.3680			−2.43872
$275$	−0.754513	−	0.754513i	−0.0454988	−	0.0454988i
$276$	−0.146270	+	0.0844488i	−0.00880439	+	0.00508322i
$277$			10.4856i			0.630016i	0.949089	+	0.315008i	$0.102007\pi$
$277$			10.4856i			0.630016i	−0.949089	+	0.315008i	$0.897993\pi$
$278$	−31.3016	−	8.38724i	−1.87735	−	0.503033i
$279$	8.45829	+	2.26639i	0.506385	+	0.135685i
$280$	−2.69169	−	3.79555i	−0.160859	−	0.226828i
$281$	−11.0310	+	11.0310i	−0.658057	+	0.658057i	−0.954920	−	0.296863i	$-0.904059\pi$
$281$	−11.0310	+	11.0310i	−0.658057	+	0.658057i	0.296863	+	0.954920i	$0.404059\pi$
$282$	−0.231491	+	0.400955i	−0.0137851	+	0.0238765i
$283$	14.1670	+	24.5380i	0.842144	+	1.45864i	0.888079	+	0.459691i	$0.152040\pi$
$283$	14.1670	+	24.5380i	0.842144	+	1.45864i	−0.0459352	+	0.998944i	$0.514627\pi$
$284$	23.5022	+	6.29739i	1.39460	+	0.373682i
$285$	−0.0633000	−	0.109639i	−0.00374957	−	0.00649444i
$286$	1.67172	−	2.11088i	0.0988512	−	0.124819i
$287$	5.56236	−	2.06234i	0.328336	−	0.121736i
$288$	−22.6713	+	6.07476i	−1.33592	+	0.357959i
$289$	−16.0352			−0.943247
$290$	5.61989			0.330011
$291$	−0.250150	+	0.0670274i	−0.0146640	+	0.00392922i
$292$	7.15016	+	26.6848i	0.418432	+	1.56161i
$293$	5.59897	−	20.8956i	0.327095	−	1.22074i	−0.585094	−	0.810966i	$-0.698942\pi$
$293$	5.59897	−	20.8956i	0.327095	−	1.22074i	0.912189	−	0.409770i	$-0.134391\pi$
$294$	−0.295072	−	0.0222575i	−0.0172089	−	0.00129809i
$295$	−10.6208	−	18.3957i	−0.618364	−	1.07104i
$296$			10.3510i			0.601642i
$297$	−0.0106813	+	0.0398630i	−0.000619790	+	0.00231309i
$298$	−29.1335	−	16.8202i	−1.68766	−	0.974369i
$299$	11.0792	−	4.39154i	0.640725	−	0.253969i
$300$		−	0.156406i		−	0.00903012i
$301$	11.4347	+	16.1241i	0.659087	+	0.929377i
$302$	−4.78194	+	8.28256i	−0.275170	+	0.476608i
$303$	0.0190261	+	0.0109847i	0.00109302	+	0.000631055i
$304$	2.94947	+	11.0076i	0.169164	+	0.631328i
$305$	6.35617	+	6.35617i	0.363953	+	0.363953i
$306$	6.09692	−	1.63366i	0.348538	−	0.0933904i
$307$	−7.12305	−	7.12305i	−0.406534	−	0.406534i	0.473994	−	0.880528i	$-0.342812\pi$
$307$	−7.12305	−	7.12305i	−0.406534	−	0.406534i	−0.880528	+	0.473994i	$0.842812\pi$
$308$	2.35451	+	0.400639i	0.134161	+	0.0228285i
$309$	0.122325	+	0.0706243i	0.00695882	+	0.00401767i
$310$	−6.15799	+	6.15799i	−0.349750	+	0.349750i
$311$	8.27116	−	14.3261i	0.469015	−	0.812357i	−0.530358	−	0.847774i	$-0.677942\pi$
$311$	8.27116	−	14.3261i	0.469015	−	0.812357i	0.999373	+	0.0354166i	$0.0112758\pi$
$312$	0.0892565	−	0.0103625i	0.00505315	−	0.000586662i
$313$	29.9497	−	17.2915i	1.69286	−	0.977372i	0.740664	−	0.671876i	$-0.234511\pi$
$313$	29.9497	−	17.2915i	1.69286	−	0.977372i	0.952193	−	0.305496i	$-0.0988223\pi$
$314$	−2.41631	−	9.01780i	−0.136360	−	0.508904i
$315$	−8.50810	−	7.05275i	−0.479377	−	0.397377i
$316$	−3.99372	+	2.30577i	−0.224664	+	0.129710i
$317$	3.19887	−	11.9384i	0.179667	−	0.670525i	−0.816043	−	0.577991i	$-0.803837\pi$
$317$	3.19887	−	11.9384i	0.179667	−	0.670525i	0.995710	−	0.0925337i	$-0.0294966\pi$
$318$	0.225564	−	0.225564i	0.0126490	−	0.0126490i
$319$	−0.464365	+	0.464365i	−0.0259994	+	0.0259994i
$320$	4.25867	−	15.8936i	0.238067	−	0.888477i
$321$	0.229877	−	0.132720i	0.0128305	−	0.00740769i
$322$	14.4238	+	11.9566i	0.803809	+	0.666313i
$323$	−1.17132	−	4.37141i	−0.0651738	−	0.243232i
$324$	20.1756	−	11.6484i	1.12087	−	0.647133i
$325$	−1.60798	+	10.9186i	−0.0891947	+	0.605655i
$326$	16.6987	−	28.9231i	0.924857	−	1.60190i
$327$	0.121543	−	0.121543i	0.00672134	−	0.00672134i
$328$	−2.45250	−	1.41595i	−0.135417	−	0.0781829i
$329$	28.5663	+	4.86079i	1.57491	+	0.267984i
$330$	−0.0145100	−	0.0145100i	−0.000798752	−	0.000798752i
$331$	19.1095	−	5.12036i	1.05035	−	0.281441i	0.307954	−	0.951401i	$-0.400356\pi$
$331$	19.1095	−	5.12036i	1.05035	−	0.281441i	0.742397	+	0.669961i	$0.233689\pi$
$332$	21.5709	+	21.5709i	1.18386	+	1.18386i
$333$	6.36277	+	23.7462i	0.348678	+	1.30128i
$334$	−24.2520	−	14.0019i	−1.32701	−	0.766150i
$335$	−7.02698	+	12.1711i	−0.383925	+	0.664978i
$336$	−0.0746957	−	0.105328i	−0.00407498	−	0.00574612i
$337$		−	6.72576i		−	0.366376i	−0.983078	−	0.183188i	$-0.941358\pi$
$337$		−	6.72576i		−	0.366376i	0.983078	−	0.183188i	$-0.0586416\pi$
$338$	−27.8371	−	0.853141i	−1.51414	−	0.0464047i
$339$	0.0581181	+	0.0335545i	0.00315654	+	0.00182243i
$340$	−0.916709	+	3.42121i	−0.0497156	+	0.185541i
$341$		−	1.01766i		−	0.0551091i
$342$	−14.8040	−	25.6414i	−0.800511	−	1.38653i
$343$	5.11402	+	17.8002i	0.276131	+	0.961120i
$344$	2.44225	−	9.11459i	0.131677	−	0.491426i
$345$	−0.0235067	−	0.0877283i	−0.00126556	−	0.00472314i
$346$	−9.21869	+	2.47014i	−0.495600	+	0.132796i
$347$	−13.2991			−0.713932			−0.356966	−	0.934117i	$-0.616189\pi$
$347$	−13.2991			−0.713932			−0.356966	+	0.934117i	$0.616189\pi$
$348$	−0.0962603			−0.00516009
$349$	1.99671	−	0.535016i	0.106881	−	0.0286387i	−0.204982	−	0.978766i	$-0.565714\pi$
$349$	1.99671	−	0.535016i	0.106881	−	0.0286387i	0.311863	+	0.950127i	$0.399047\pi$
$350$	−16.2674	+	6.03143i	−0.869530	+	0.322394i
$351$	0.396810	−	0.157287i	0.0211802	−	0.00839536i
$352$	1.36384	+	2.36225i	0.0726931	+	0.125908i
$353$	−12.3813	−	3.31755i	−0.658988	−	0.176575i	−0.0861986	−	0.996278i	$-0.527472\pi$
$353$	−12.3813	−	3.31755i	−0.658988	−	0.176575i	−0.572789	+	0.819703i	$0.694139\pi$
$354$	0.322419	+	0.558447i	0.0171364	+	0.0296811i
$355$	−6.54195	+	11.3310i	−0.347211	+	0.601387i
$356$	24.8976	−	24.8976i	1.31957	−	1.31957i
$357$	0.0296637	+	0.0418287i	0.00156997	+	0.00221381i
$358$	−24.9239	−	6.67834i	−1.31727	−	0.352961i
$359$	2.75160	+	0.737290i	0.145224	+	0.0389127i	0.330699	−	0.943736i	$-0.392716\pi$
$359$	2.75160	+	0.737290i	0.145224	+	0.0389127i	−0.185475	+	0.982649i	$0.559382\pi$
$360$			5.27545i			0.278040i
$361$	−1.93005	+	1.11432i	−0.101582	+	0.0586482i
$362$	35.5379	+	35.5379i	1.86783	+	1.86783i
$363$	−0.214657			−0.0112666
$364$	−11.2015	−	22.0170i	−0.587117	−	1.15400i
$365$	−14.8557			−0.777582
$366$	−0.192957	−	0.192957i	−0.0100860	−	0.0100860i
$367$	5.51927	−	3.18655i	0.288104	−	0.166337i	−0.348983	−	0.937129i	$-0.613473\pi$
$367$	5.51927	−	3.18655i	0.288104	−	0.166337i	0.637086	+	0.770792i	$0.280139\pi$
$368$			8.17544i			0.426174i
$369$	−6.49664	−	1.74077i	−0.338201	−	0.0906208i
$370$	−23.6161	−	6.32793i	−1.22775	−	0.328973i
$371$	−18.1447	−	8.32910i	−0.942028	−	0.432425i
$372$	0.105477	−	0.105477i	0.00546874	−	0.00546874i
$373$	−0.522080	+	0.904268i	−0.0270323	+	0.0468212i	−0.879225	−	0.476407i	$-0.841939\pi$
$373$	−0.522080	+	0.904268i	−0.0270323	+	0.0468212i	0.852193	+	0.523228i	$0.175272\pi$
$374$	−0.366774	−	0.635271i	−0.0189654	−	0.0328491i
$375$	0.213945	+	0.0573263i	0.0110481	+	0.00296032i
$376$	−6.91627	−	11.9793i	−0.356679	−	0.617787i
$377$	6.71986	+	0.989632i	0.346090	+	0.0509686i
$378$	0.516603	+	0.428235i	0.0265712	+	0.0220260i
$379$	14.6260	−	3.91904i	0.751289	−	0.201307i	0.137199	−	0.990543i	$-0.456190\pi$
$379$	14.6260	−	3.91904i	0.751289	−	0.201307i	0.614090	+	0.789236i	$0.289523\pi$
$380$	16.6142			0.852290
$381$	0.0957157			0.00490366
$382$	−20.8786	+	5.59440i	−1.06824	+	0.286234i
$383$	−2.58499	−	9.64730i	−0.132087	−	0.492954i	0.867906	−	0.496728i	$-0.165465\pi$
$383$	−2.58499	−	9.64730i	−0.132087	−	0.492954i	−0.999993	+	0.00377402i	$0.998799\pi$
$384$	−0.0493596	+	0.184213i	−0.00251887	+	0.00940056i
$385$	−0.535794	+	1.16721i	−0.0273066	+	0.0594867i
$386$	16.0957	+	27.8785i	0.819247	+	1.41898i
$387$		−	22.4109i		−	1.13921i
$388$	8.79627	−	32.8281i	0.446563	−	1.66660i
$389$	15.4988	+	8.94824i	0.785821	+	0.453694i	0.838489	−	0.544918i	$-0.183439\pi$
$389$	15.4988	+	8.94824i	0.785821	+	0.453694i	−0.0526685	+	0.998612i	$0.516773\pi$
$390$	−0.0309231	+	0.209976i	−0.00156585	+	0.0106325i
$391$		−	3.24669i		−	0.164192i
$392$	4.98383	−	7.30226i	0.251721	−	0.368820i
$393$	−0.0226510	+	0.0392327i	−0.00114259	+	0.00197903i
$394$	−16.7908	−	9.69415i	−0.845906	−	0.488384i
$395$	−0.641824	−	2.39532i	−0.0322937	−	0.120522i
$396$	−1.91469	−	1.91469i	−0.0962170	−	0.0962170i
$397$	8.46474	−	2.26812i	0.424833	−	0.113834i	−0.0400665	−	0.999197i	$-0.512757\pi$
$397$	8.46474	−	2.26812i	0.424833	−	0.113834i	0.464900	+	0.885363i	$0.346090\pi$
$398$	−8.69128	−	8.69128i	−0.435654	−	0.435654i
$399$	0.153510	−	0.185187i	0.00768509	−	0.00927094i
$400$	−6.55651	−	3.78540i	−0.327825	−	0.189270i
$401$	−11.9210	+	11.9210i	−0.595305	+	0.595305i	−0.939059	−	0.343755i	$-0.888301\pi$
$401$	−11.9210	+	11.9210i	−0.595305	+	0.595305i	0.343755	+	0.939059i	$0.388301\pi$
$402$	0.213321	−	0.369484i	0.0106395	−	0.0184282i
$403$	−8.44767	+	6.27889i	−0.420808	+	0.312774i
$404$	−2.49686	+	1.44157i	−0.124224	+	0.0717206i
$405$	3.24239	+	12.1008i	0.161116	+	0.601292i
$406$	3.71205	+	10.0118i	0.184226	+	0.496877i
$407$	2.47424	−	1.42850i	0.122644	−	0.0708084i
$408$	0.00633561	−	0.0236448i	0.000313660	−	0.00117059i
$409$	−20.7606	+	20.7606i	−1.02654	+	1.02654i	−0.0269065	+	0.999638i	$0.508566\pi$
$409$	−20.7606	+	20.7606i	−1.02654	+	1.02654i	−0.999638	+	0.0269065i	$0.991434\pi$
$410$	4.72983	−	4.72983i	0.233589	−	0.233589i
$411$	−0.0962334	+	0.359148i	−0.00474684	+	0.0177155i
$412$	−16.0532	+	9.26830i	−0.790883	+	0.456616i
$413$	25.7566	−	31.0715i	1.26740	−	1.52893i
$414$	−5.49755	−	20.5172i	−0.270190	−	1.00836i
$415$	−14.2065	+	8.20213i	−0.697370	+	0.402627i
$416$	11.1944	−	25.8964i	0.548851	−	1.26967i
$417$	−0.149240	+	0.258491i	−0.00730831	+	0.0126584i
$418$	−2.43309	+	2.43309i	−0.119006	+	0.119006i
$419$	1.94150	+	1.12093i	0.0948486	+	0.0547609i	0.546674	−	0.837345i	$-0.315894\pi$
$419$	1.94150	+	1.12093i	0.0948486	+	0.0547609i	−0.451825	+	0.892106i	$0.649227\pi$
$420$	−0.176512	+	0.0654450i	−0.00861291	+	0.00319339i
$421$	5.33907	+	5.33907i	0.260210	+	0.260210i	0.825139	−	0.564929i	$-0.191096\pi$
$421$	5.33907	+	5.33907i	0.260210	+	0.260210i	−0.564929	+	0.825139i	$0.691096\pi$
$422$	−5.05040	+	1.35325i	−0.245849	+	0.0658752i
$423$	−23.2302	−	23.2302i	−1.12949	−	1.12949i
$424$	2.46671	+	9.20587i	0.119794	+	0.447077i
$425$	2.60377	+	1.50329i	0.126301	+	0.0729201i
$426$	0.198597	−	0.343981i	0.00962207	−	0.0166659i
$427$	−7.12509	+	15.5218i	−0.344807	+	0.751154i
$428$			34.8346i			1.68380i
$429$	−0.0147949	−	0.0199052i	−0.000714305	−	0.000961032i
$430$	19.3021	+	11.1441i	0.930832	+	0.537416i
$431$	−2.24648	+	8.38396i	−0.108209	+	0.403841i	−0.998689	−	0.0511801i	$-0.983702\pi$
$431$	−2.24648	+	8.38396i	−0.108209	+	0.403841i	0.890480	+	0.455021i	$0.150368\pi$
$432$			0.292811i			0.0140879i
$433$	12.7738	+	22.1248i	0.613869	+	1.06325i	0.990582	+	0.136922i	$0.0437210\pi$
$433$	12.7738	+	22.1248i	0.613869	+	1.06325i	−0.376713	+	0.926330i	$0.622946\pi$
$434$	−15.0379	−	6.90294i	−0.721841	−	0.331352i
$435$	0.0133973	−	0.0499993i	0.000642350	−	0.00239728i
$436$	5.83831	+	21.7889i	0.279604	+	1.04350i
$437$	−14.7105	+	3.94168i	−0.703700	+	0.188556i
$438$	0.450981			0.0215487
$439$	−34.4632			−1.64484			−0.822421	−	0.568880i	$-0.807377\pi$
$439$	−34.4632			−1.64484			−0.822421	+	0.568880i	$0.807377\pi$
$440$	0.592195	−	0.158678i	0.0282318	−	0.00756469i
$441$	6.94464	−	19.8156i	0.330697	−	0.943599i
$442$	−3.01048	+	6.96423i	−0.143194	+	0.331255i
$443$	17.8457	+	30.9097i	0.847876	+	1.46857i	0.883100	+	0.469186i	$0.155452\pi$
$443$	17.8457	+	30.9097i	0.847876	+	1.46857i	−0.0352231	+	0.999379i	$0.511214\pi$
$444$	0.404509	+	0.108388i	0.0191972	+	0.00514386i
$445$	9.46705	+	16.3974i	0.448781	+	0.777312i
$446$	4.69569	−	8.13318i	0.222348	−	0.385117i
$447$	−0.219098	+	0.219098i	−0.0103630	+	0.0103630i
$448$	31.1272	−	2.91122i	1.47062	−	0.137542i
$449$	5.75740	+	1.54269i	0.271709	+	0.0728041i	0.392101	−	0.919922i	$-0.371748\pi$
$449$	5.75740	+	1.54269i	0.271709	+	0.0728041i	−0.120392	+	0.992726i	$0.538415\pi$
$450$	18.9998	+	5.09097i	0.895657	+	0.239991i
$451$			0.781640i			0.0368060i
$452$	−7.62707	+	4.40349i	−0.358747	+	0.207123i
$453$	0.0622889	+	0.0622889i	0.00292659	+	0.00292659i
$454$	39.7981			1.86782
$455$	12.9950	−	2.75398i	0.609215	−	0.129109i
$456$	−0.114825			−0.00537717
$457$	19.3234	+	19.3234i	0.903910	+	0.903910i	0.995772	−	0.0918622i	$-0.0292819\pi$
$457$	19.3234	+	19.3234i	0.903910	+	0.903910i	−0.0918622	+	0.995772i	$0.529282\pi$
$458$	17.3555	−	10.0202i	0.810968	−	0.468213i
$459$		−	0.116283i		−	0.00542763i
$460$	11.5129	+	3.08488i	0.536793	+	0.143833i
$461$	−25.4470	−	6.81851i	−1.18519	−	0.317570i	−0.388205	−	0.921573i	$-0.626905\pi$
$461$	−25.4470	−	6.81851i	−1.18519	−	0.317570i	−0.796982	+	0.604004i	$0.793571\pi$
$462$	0.0162654	−	0.0354337i	0.000756733	−	0.00164852i
$463$	20.1763	−	20.1763i	0.937671	−	0.937671i	−0.0604970	−	0.998168i	$-0.519269\pi$
$463$	20.1763	−	20.1763i	0.937671	−	0.937671i	0.998168	+	0.0604970i	$0.0192686\pi$
$464$	−2.32973	+	4.03520i	−0.108155	+	0.187330i
$465$	0.0401066	+	0.0694667i	0.00185990	+	0.00322144i
$466$	−39.9151	−	10.6952i	−1.84903	−	0.495446i
$467$	11.1697	+	19.3465i	0.516873	+	0.895251i	0.999808	+	0.0195946i	$0.00623757\pi$
$467$	11.1697	+	19.3465i	0.516873	+	0.895251i	−0.482935	+	0.875656i	$0.660429\pi$
$468$	−4.08050	+	27.7077i	−0.188621	+	1.28079i
$469$	−26.3241	−	4.47927i	−1.21554	−	0.206833i
$470$	31.5593	−	8.45629i	1.45572	−	0.390060i
$471$	−0.0859902			−0.00396222
$472$	−19.2659			−0.886783
$473$	−2.51574	+	0.674090i	−0.115674	+	0.0309947i
$474$	0.0194842	+	0.0727158i	0.000894937	+	0.00333995i
$475$	3.65016	−	13.6226i	0.167481	−	0.625047i
$476$	−6.70035	+	0.626662i	−0.307110	+	0.0287230i
$477$	11.3177	+	19.6028i	0.518201	+	0.897550i
$478$		−	0.583657i		−	0.0266959i
$479$	−3.98443	+	14.8701i	−0.182053	+	0.679432i	0.813189	+	0.582000i	$0.197729\pi$
$479$	−3.98443	+	14.8701i	−0.182053	+	0.679432i	−0.995242	+	0.0974319i	$0.968937\pi$
$480$	−0.186196	−	0.107500i	−0.00849866	−	0.00490670i
$481$	−27.1242	−	11.7251i	−1.23676	−	0.534621i
$482$			43.3721i			1.97554i
$483$	0.140761	−	0.0998233i	0.00640483	−	0.00454212i
$484$	14.0851	−	24.3962i	0.640233	−	1.10892i
$485$	15.8273	+	9.13787i	0.718679	+	0.414929i
$486$	−0.295356	−	1.10228i	−0.0133976	−	0.0500006i
$487$	−12.8093	−	12.8093i	−0.580444	−	0.580444i	0.354581	−	0.935025i	$-0.384623\pi$
$487$	−12.8093	−	12.8093i	−0.580444	−	0.580444i	−0.935025	+	0.354581i	$0.884623\pi$
$488$	7.87512	−	2.11013i	0.356490	−	0.0955212i
$489$	−0.217516	−	0.217516i	−0.00983640	−	0.00983640i
$490$	13.6135	+	15.8348i	0.614996	+	0.715345i
$491$	17.3469	+	10.0153i	0.782857	+	0.451983i	0.837442	−	0.546527i	$-0.184050\pi$
$491$	17.3469	+	10.0153i	0.782857	+	0.451983i	−0.0545850	+	0.998509i	$0.517384\pi$
$492$	−0.0810148	+	0.0810148i	−0.00365243	+	0.00365243i
$493$	0.925198	−	1.60249i	0.0416688	−	0.0721725i
$494$	35.2094	+	5.18527i	1.58414	+	0.233296i
$495$	1.26101	−	0.728043i	0.0566781	−	0.0327231i
$496$	−1.86878	−	6.97437i	−0.0839105	−	0.313158i
$497$	−24.5072	−	4.17009i	−1.09930	−	0.187054i
$498$	0.431274	−	0.248996i	0.0193258	−	0.0111578i
$499$	2.03847	−	7.60769i	0.0912546	−	0.340567i	−0.905170	−	0.425049i	$-0.860257\pi$
$499$	2.03847	−	7.60769i	0.0912546	−	0.340567i	0.996425	+	0.0844820i	$0.0269236\pi$
$500$	−20.5537	+	20.5537i	−0.919188	+	0.919188i
$501$	−0.182387	+	0.182387i	−0.00814846	+	0.00814846i
$502$	−1.07060	+	3.99552i	−0.0477830	+	0.178329i
$503$	36.6569	−	21.1639i	1.63445	−	0.943650i	0.651752	−	0.758432i	$-0.274034\pi$
$503$	36.6569	−	21.1639i	1.63445	−	0.943650i	0.982698	−	0.185217i	$-0.0592989\pi$
$504$	−9.39816	+	3.48453i	−0.418627	+	0.155213i
$505$	−0.401267	−	1.49755i	−0.0178561	−	0.0666400i
$506$	−2.13779	+	1.23426i	−0.0950365	+	0.0548694i
$507$	−0.0739512	+	0.245629i	−0.00328429	+	0.0109087i
$508$	−6.28057	+	10.8783i	−0.278655	+	0.482645i
$509$	26.6734	−	26.6734i	1.18228	−	1.18228i	0.203126	−	0.979153i	$-0.434890\pi$
$509$	26.6734	−	26.6734i	1.18228	−	1.18228i	0.979153	−	0.203126i	$-0.0651101\pi$
$510$	0.0500731	+	0.0289097i	0.00221728	+	0.00128014i
$511$	−9.81246	−	26.4653i	−0.434078	−	1.17075i
$512$	18.1026	+	18.1026i	0.800029	+	0.800029i
$513$	−0.526871	+	0.141175i	−0.0232619	+	0.00623302i
$514$	−19.0185	−	19.0185i	−0.838872	−	0.838872i
$515$	−2.57988	−	9.62823i	−0.113683	−	0.424271i
$516$	−0.330617	−	0.190882i	−0.0145546	−	0.00840310i
$517$	−1.90897	+	3.30644i	−0.0839566	+	0.145417i
$518$	−4.32577	−	46.2517i	−0.190063	−	2.03218i
$519$			0.0879058i			0.00385864i
$520$	−4.97103	−	3.93684i	−0.217994	−	0.172642i
$521$	−22.8432	−	13.1885i	−1.00078	−	0.577800i	−0.0923008	−	0.995731i	$-0.529422\pi$
$521$	−22.8432	−	13.1885i	−1.00078	−	0.577800i	−0.908479	+	0.417931i	$0.862755\pi$
$522$	3.13324	−	11.6934i	0.137138	−	0.511806i
$523$			14.9301i			0.652846i	0.945224	+	0.326423i	$0.105843\pi$
$523$			14.9301i			0.652846i	−0.945224	+	0.326423i	$0.894157\pi$
$524$	−2.97258	−	5.14866i	−0.129858	−	0.224920i
$525$	0.0148808	+	0.159107i	0.000649450	+	0.00694400i
$526$	6.14470	−	22.9323i	0.267922	−	0.999898i
$527$	0.742142	+	2.76971i	0.0323282	+	0.120651i
$528$	0.0164337	−	0.00440339i	0.000715184	−	0.000191633i
$529$	12.0743			0.524971
$530$	−22.5114			−0.977833
$531$	−44.1976	+	11.8427i	−1.91801	+	0.513930i
$532$	10.9740	+	29.5981i	0.475783	+	1.28324i
$533$	6.48848	−	4.82269i	0.281047	−	0.208894i
$534$	−0.287396	−	0.497784i	−0.0124368	−	0.0215412i
$535$	−18.0937	−	4.84820i	−0.782260	−	0.209606i
$536$	6.37341	+	11.0391i	0.275289	+	0.476815i
$537$	−0.118832	+	0.205824i	−0.00512799	+	0.00888194i
$538$	24.8476	−	24.8476i	1.07126	−	1.07126i
$539$	−2.43328	−	0.183545i	−0.104809	−	0.00790584i
$540$	0.412346	+	0.110488i	0.0177446	+	0.00475464i
$541$	−17.8662	−	4.78723i	−0.768127	−	0.205819i	−0.146583	−	0.989198i	$-0.546828\pi$
$541$	−17.8662	−	4.78723i	−0.768127	−	0.205819i	−0.621544	+	0.783379i	$0.713494\pi$
$542$			1.15579i			0.0496454i
$543$	0.400893	−	0.231456i	0.0172040	−	0.00993272i
$544$	−5.43463	−	5.43463i	−0.233008	−	0.233008i
$545$	−12.1301			−0.519596
$546$	−0.394496	+	0.0836039i	−0.0168828	+	0.00357792i
$547$	−12.6324			−0.540123			−0.270062	−	0.962843i	$-0.587044\pi$
$547$	−12.6324			−0.540123			−0.270062	+	0.962843i	$0.587044\pi$
$548$	−34.5033	−	34.5033i	−1.47391	−	1.47391i
$549$	16.7691	−	9.68166i	0.715689	−	0.413203i
$550$		−	2.28595i		−	0.0974731i
$551$	−8.38402	−	2.24649i	−0.357171	−	0.0957038i
$552$	−0.0795688	−	0.0213204i	−0.00338667	−	0.000907457i
$553$	3.84330	−	2.72556i	0.163434	−	0.115902i
$554$	−15.8841	+	15.8841i	−0.674849	+	0.674849i
$555$	−0.112597	+	0.195024i	−0.00477948	+	0.00827831i
$556$	−19.5853	−	33.9228i	−0.830603	−	1.43865i
$557$	0.590694	+	0.158276i	0.0250285	+	0.00670637i	0.271312	−	0.962492i	$-0.412543\pi$
$557$	0.590694	+	0.158276i	0.0250285	+	0.00670637i	−0.246283	+	0.969198i	$0.579209\pi$
$558$	9.37980	+	16.2463i	0.397078	+	0.687760i
$559$	21.1177	+	16.7243i	0.893183	+	0.707363i
$560$	−1.52858	+	8.98326i	−0.0645941	+	0.379612i
$561$	−0.00652626	+	0.00174871i	−0.000275539	+	7.38304e-5i
$562$	−33.4208			−1.40977
$563$	−10.8225			−0.456113			−0.228057	−	0.973648i	$-0.573237\pi$
$563$	−10.8225			−0.456113			−0.228057	+	0.973648i	$0.573237\pi$
$564$	−0.540563	+	0.144844i	−0.0227618	+	0.00609901i
$565$	−1.22573	−	4.57450i	−0.0515670	−	0.192451i
$566$	−15.7105	+	58.6324i	−0.660362	+	2.46450i
$567$	−19.4157	+	13.7691i	−0.815385	+	0.578247i
$568$	5.93349	+	10.2771i	0.248964	+	0.431218i
$569$		−	29.0842i		−	1.21927i	−0.792680	−	0.609637i	$-0.791315\pi$
$569$		−	29.0842i		−	1.21927i	0.792680	−	0.609637i	$-0.208685\pi$
$570$	0.0701963	−	0.261976i	0.00294020	−	0.0109730i
$571$	11.7038	+	6.75719i	0.489788	+	0.282779i	0.724487	−	0.689289i	$-0.242077\pi$
$571$	11.7038	+	6.75719i	0.489788	+	0.282779i	−0.234698	+	0.972068i	$0.575410\pi$
$572$	3.23306	−	0.375352i	0.135181	−	0.0156943i
$573$			0.199090i			0.00831710i
$574$	11.5503	+	5.30200i	0.482100	+	0.221301i
$575$	5.05881	−	8.76212i	0.210967	−	0.365406i
$576$	−30.6957	−	17.7222i	−1.27899	−	0.738424i
$577$	2.83216	+	10.5697i	0.117904	+	0.440024i	0.999488	−	0.0320036i	$-0.0101888\pi$
$577$	2.83216	+	10.5697i	0.117904	+	0.440024i	−0.881584	+	0.472028i	$0.843522\pi$
$578$	−24.2909	−	24.2909i	−1.01037	−	1.01037i
$579$	0.286401	−	0.0767409i	0.0119024	−	0.00318924i
$580$	4.80343	+	4.80343i	0.199451	+	0.199451i
$581$	−23.9957	−	19.8911i	−0.995510	−	0.825222i
$582$	−0.480476	−	0.277403i	−0.0199164	−	0.0114987i
$583$	1.86009	−	1.86009i	0.0770371	−	0.0770371i
$584$	−6.73698	+	11.6688i	−0.278778	+	0.482858i
$585$	−13.8239	−	5.97577i	−0.571550	−	0.247068i
$586$	40.1353	−	23.1721i	1.65798	−	0.957232i
$587$	−7.06382	−	26.3625i	−0.291555	−	1.08810i	−0.943915	−	0.330188i	$-0.892888\pi$
$587$	−7.06382	−	26.3625i	−0.291555	−	1.08810i	0.652360	−	0.757909i	$-0.273779\pi$
$588$	−0.233179	−	0.271227i	−0.00961615	−	0.0111852i
$589$	11.6484	−	6.72519i	0.479963	−	0.277107i
$590$	11.7779	−	43.9556i	0.484887	−	1.80962i
$591$	−0.126275	+	0.126275i	−0.00519425	+	0.00519425i
$592$	14.3337	−	14.3337i	0.589110	−	0.589110i
$593$	−2.29583	+	8.56816i	−0.0942785	+	0.351852i	−0.996909	−	0.0785641i	$-0.974966\pi$
$593$	−2.29583	+	8.56816i	−0.0942785	+	0.351852i	0.902631	+	0.430416i	$0.141633\pi$
$594$	−0.0765670	+	0.0442060i	−0.00314158	+	0.00181379i
$595$	0.607039	−	3.56750i	0.0248862	−	0.146253i
$596$	−10.5244	−	39.2775i	−0.431095	−	1.60887i
$597$	−0.0980441	+	0.0566058i	−0.00401268	+	0.00231672i
$598$	23.4358	+	10.1308i	0.958361	+	0.414277i
$599$	−10.0430	+	17.3949i	−0.410344	+	0.710737i	−0.994927	−	0.100597i	$-0.967925\pi$
$599$	−10.0430	+	17.3949i	−0.410344	+	0.710737i	0.584583	+	0.811334i	$0.301258\pi$
$600$	0.0539405	−	0.0539405i	0.00220211	−	0.00220211i
$601$	−10.0979	−	5.83002i	−0.411902	−	0.237811i	0.279705	−	0.960086i	$-0.409763\pi$
$601$	−10.0979	−	5.83002i	−0.411902	−	0.237811i	−0.691606	+	0.722275i	$0.743097\pi$
$602$	−7.10368	+	41.7475i	−0.289524	+	1.70150i
$603$	21.4069	+	21.4069i	0.871755	+	0.871755i
$604$	−11.1665	+	2.99205i	−0.454357	+	0.121745i
$605$	10.7115	+	10.7115i	0.435483	+	0.435483i
$606$	0.0121815	+	0.0454618i	0.000494838	+	0.00184676i
$607$	36.7395	+	21.2116i	1.49121	+	0.860952i	0.999949	−	0.0100597i	$-0.00320217\pi$
$607$	36.7395	+	21.2116i	1.49121	+	0.860952i	0.491263	+	0.871011i	$0.336536\pi$
$608$	−18.0260	+	31.2219i	−0.731050	+	1.26622i
$609$	0.0979225	−	0.00915837i	0.00396802	−	0.000371116i
$610$			19.2573i			0.779705i
$611$	39.2254	−	4.55400i	1.58689	−	0.184235i
$612$	6.60747	+	3.81483i	0.267091	+	0.154205i
$613$	4.55495	−	16.9993i	0.183973	−	0.686595i	−0.810876	−	0.585219i	$-0.801009\pi$
$613$	4.55495	−	16.9993i	0.183973	−	0.686595i	0.994848	−	0.101376i	$-0.0323246\pi$
$614$		−	21.5807i		−	0.870926i
$615$	−0.0308051	−	0.0533560i	−0.00124218	−	0.00215152i
$616$	0.673840	+	0.950180i	0.0271498	+	0.0382839i
$617$	2.26503	−	8.45319i	0.0911865	−	0.340313i	−0.905227	−	0.424928i	$-0.860299\pi$
$617$	2.26503	−	8.45319i	0.0911865	−	0.340313i	0.996414	+	0.0846152i	$0.0269661\pi$
$618$	0.0783186	+	0.292289i	0.00315044	+	0.0117576i
$619$	−5.89711	+	1.58013i	−0.237025	+	0.0635107i	−0.375376	−	0.926873i	$-0.622486\pi$
$619$	−5.89711	+	1.58013i	−0.237025	+	0.0635107i	0.138351	+	0.990383i	$0.455820\pi$
$620$	−10.5267			−0.422762
$621$	−0.391312			−0.0157028
$622$	34.2314	−	9.17228i	1.37256	−	0.367775i
$623$	−22.9587	+	27.6963i	−0.919820	+	1.10963i
$624$	−0.137948	−	0.109249i	−0.00552234	−	0.00437346i
$625$	−0.162973	−	0.282278i	−0.00651893	−	0.0112911i
$626$	71.5633	+	19.1753i	2.86024	+	0.766400i
$627$	0.0158465	+	0.0274470i	0.000632850	+	0.00109613i
$628$	5.64241	−	9.77294i	0.225157	−	0.389983i
$629$	−5.69229	+	5.69229i	−0.226966	+	0.226966i
$630$	−2.20465	−	23.5724i	−0.0878352	−	0.939145i
$631$	−12.1554	−	3.25704i	−0.483900	−	0.129661i	0.00861795	−	0.999963i	$-0.497257\pi$
$631$	−12.1554	−	3.25704i	−0.483900	−	0.129661i	−0.492518	+	0.870302i	$0.663923\pi$
$632$	−2.17253	−	0.582128i	−0.0864187	−	0.0231558i
$633$			0.0481586i			0.00191413i
$634$	22.9306	−	13.2390i	0.910692	−	0.525788i
$635$	−4.77625	−	4.77625i	−0.189540	−	0.189540i
$636$	0.385587			0.0152895
$637$	13.4896	+	21.3314i	0.534479	+	0.845182i
$638$	−1.40689			−0.0556992
$639$	19.9293	+	19.9293i	0.788390	+	0.788390i
$640$	11.6553	−	6.72921i	0.460718	−	0.265996i
$641$		−	6.78631i		−	0.268043i	−0.990978	−	0.134022i	$-0.957211\pi$
$641$		−	6.78631i		−	0.268043i	0.990978	−	0.134022i	$-0.0427892\pi$
$642$	0.549280	+	0.147179i	0.0216783	+	0.00580869i
$643$	16.9779	+	4.54920i	0.669541	+	0.179403i	0.577548	−	0.816357i	$-0.304010\pi$
$643$	16.9779	+	4.54920i	0.669541	+	0.179403i	0.0919931	+	0.995760i	$0.470676\pi$
$644$	2.10882	+	22.5478i	0.0830993	+	0.888508i
$645$	0.145162	−	0.145162i	0.00571574	−	0.00571574i
$646$	4.84767	−	8.39640i	0.190729	−	0.330352i
$647$	9.12424	+	15.8037i	0.358711	+	0.621306i	0.987746	−	0.156071i	$-0.0498830\pi$
$647$	9.12424	+	15.8037i	0.358711	+	0.621306i	−0.629035	+	0.777377i	$0.716550\pi$
$648$	10.9753	+	2.94082i	0.431150	+	0.115526i
$649$	2.65881	+	4.60519i	0.104367	+	0.180769i
$650$	−18.9759	+	14.1042i	−0.744296	+	0.553212i
$651$	−0.0972632	+	0.117334i	−0.00381204	+	0.00459867i
$652$	38.9938	−	10.4484i	1.52711	−	0.409189i
$653$	−26.8238			−1.04970			−0.524849	−	0.851195i	$-0.675878\pi$
$653$	−26.8238			−1.04970			−0.524849	+	0.851195i	$0.675878\pi$
$654$	0.368239			0.0143993
$655$	3.08802	−	0.827433i	0.120659	−	0.0323305i
$656$	1.43537	+	5.35687i	0.0560417	+	0.209151i
$657$	−8.28243	+	30.9105i	−0.323129	+	1.20593i
$658$	35.9103	+	50.6371i	1.39993	+	1.97404i
$659$	−8.29277	−	14.3635i	−0.323040	−	0.559522i	0.658073	−	0.752954i	$-0.271372\pi$
$659$	−8.29277	−	14.3635i	−0.323040	−	0.559522i	−0.981114	+	0.193431i	$0.938038\pi$
$660$		−	0.0248040i		−	0.000965495i
$661$	2.18176	−	8.14245i	0.0848607	−	0.316704i	−0.910427	−	0.413670i	$-0.864247\pi$
$661$	2.18176	−	8.14245i	0.0848607	−	0.316704i	0.995288	+	0.0969651i	$0.0309135\pi$
$662$	36.7045	+	21.1914i	1.42656	+	0.823626i
$663$	0.0547830	+	0.0433858i	0.00212759	+	0.00168496i
$664$			14.8785i			0.577399i
$665$	−16.9011	+	1.58070i	−0.655396	+	0.0612970i
$666$	−26.3333	+	45.6105i	−1.02039	+	1.76737i
$667$	−5.39265	−	3.11345i	−0.208804	−	0.120553i
$668$	−8.76095	−	32.6963i	−0.338972	−	1.26506i
$669$	−0.0611655	−	0.0611655i	−0.00236480	−	0.00236480i
$670$	−29.0822	+	7.79255i	−1.12354	+	0.301052i
$671$	−1.59121	−	1.59121i	−0.0614279	−	0.0614279i
$672$	0.0685249	−	0.402713i	0.00264341	−	0.0155350i
$673$	−26.7116	−	15.4220i	−1.02966	−	0.594473i	−0.112771	−	0.993621i	$-0.535973\pi$
$673$	−26.7116	−	15.4220i	−1.02966	−	0.594473i	−0.916887	+	0.399148i	$0.869306\pi$
$674$	10.1885	−	10.1885i	0.392447	−	0.392447i
$675$	0.181186	−	0.313823i	0.00697385	−	0.0120791i
$676$	−23.0637	−	24.5221i	−0.887065	−	0.943157i
$677$	−23.6241	+	13.6394i	−0.907947	+	0.524203i	−0.879770	−	0.475400i	$-0.842303\pi$
$677$	−23.6241	+	13.6394i	−0.907947	+	0.524203i	−0.0281768	+	0.999603i	$0.508970\pi$
$678$	0.0372102	+	0.138870i	0.00142905	+	0.00533328i
$679$	−5.82483	+	34.2319i	−0.223537	+	1.31370i
$680$	−1.49604	+	0.863737i	−0.0573704	+	0.0331228i
$681$	0.0948748	−	0.354077i	0.00363561	−	0.0135683i
$682$	1.54159	−	1.54159i	0.0590307	−	0.0590307i
$683$	2.04428	−	2.04428i	0.0782222	−	0.0782222i	−0.666913	−	0.745135i	$-0.732385\pi$
$683$	2.04428	−	2.04428i	0.0782222	−	0.0782222i	0.745135	+	0.666913i	$0.232385\pi$
$684$	9.26286	−	34.5694i	0.354174	−	1.32180i
$685$	22.7237	−	13.1195i	0.868228	−	0.501272i
$686$	−19.2176	+	34.7116i	−0.733733	+	1.32529i
$687$	−0.0477743	−	0.178296i	−0.00182270	−	0.00680242i
$688$	−16.0034	+	9.23957i	−0.610124	+	0.352255i
$689$	−26.9175	−	3.96414i	−1.02548	−	0.151022i
$690$	0.0972861	−	0.168504i	0.00370362	−	0.00641486i
$691$	−12.0266	+	12.0266i	−0.457515	+	0.457515i	−0.897839	−	0.440324i	$-0.854864\pi$
$691$	−12.0266	+	12.0266i	−0.457515	+	0.457515i	0.440324	+	0.897839i	$0.354864\pi$
$692$	−9.99066	−	5.76811i	−0.379788	−	0.219271i
$693$	2.12992	+	1.76559i	0.0809091	+	0.0670692i
$694$	−20.1461	−	20.1461i	−0.764736	−	0.764736i
$695$	20.3459	−	5.45168i	0.771765	−	0.206794i
$696$	−0.0331977	−	0.0331977i	−0.00125836	−	0.00125836i
$697$	−0.570024	−	2.12736i	−0.0215912	−	0.0805795i
$698$	3.83518	+	2.21424i	0.145164	+	0.0838103i
$699$	−0.190307	+	0.329622i	−0.00719808	+	0.0124674i
$700$	−19.0592	−	8.74889i	−0.720372	−	0.330677i
$701$		−	9.25014i		−	0.349373i	−0.984624	−	0.174687i	$-0.944109\pi$
$701$		−	9.25014i		−	0.349373i	0.984624	−	0.174687i	$-0.0558912\pi$
$702$	0.839374	+	0.362842i	0.0316801	+	0.0136946i
$703$	32.7022	+	18.8806i	1.23339	+	0.712096i
$704$	−1.06612	+	3.97880i	−0.0401808	+	0.149957i
$705$		−	0.300937i		−	0.0113339i
$706$	−13.7302	−	23.7813i	−0.516741	−	0.895022i
$707$	2.40283	−	1.70401i	0.0903675	−	0.0640860i
$708$	−0.201737	+	0.752893i	−0.00758174	+	0.0282954i
$709$	0.0570187	+	0.212797i	0.00214138	+	0.00799175i	0.966988	−	0.254821i	$-0.0820165\pi$
$709$	0.0570187	+	0.212797i	0.00214138	+	0.00799175i	−0.964847	+	0.262813i	$0.915350\pi$
$710$	−27.0748	+	7.25468i	−1.01610	+	0.272263i
$711$	−5.34181			−0.200334
$712$	17.1731			0.643588
$713$	9.32055	−	2.49743i	0.349057	−	0.0935296i
$714$	−0.0184282	+	0.108300i	−0.000689657	+	0.00405304i
$715$	−0.255005	+	1.73155i	−0.00953664	+	0.0647563i
$716$	−15.5948	−	27.0110i	−0.582806	−	1.00945i
$717$	−0.00519270	−	0.00139138i	−0.000193925	−	5.19621e-5i
$718$	3.05138	+	5.28515i	0.113877	+	0.197240i
$719$	−13.1959	+	22.8560i	−0.492125	+	0.852385i	−0.999959	−	0.00906953i	$-0.997113\pi$
$719$	−13.1959	+	22.8560i	−0.492125	+	0.852385i	0.507834	+	0.861455i	$0.330446\pi$
$720$	7.30521	−	7.30521i	0.272249	−	0.272249i
$721$	15.4486	−	10.9557i	0.575334	−	0.408010i
$722$	−4.61176	−	1.23572i	−0.171632	−	0.0459886i
$723$	0.385875	+	0.103395i	0.0143508	+	0.00384529i
$724$			60.7497i			2.25775i
$725$	4.99382	−	2.88319i	0.185466	−	0.107079i
$726$	−0.325173	−	0.325173i	−0.0120683	−	0.0120683i
$727$	11.9152			0.441910			0.220955	−	0.975284i	$-0.429083\pi$
$727$	11.9152			0.441910			0.220955	+	0.975284i	$0.429083\pi$
$728$	3.72999	−	11.4562i	0.138243	−	0.424595i
$729$	26.9790			0.999221
$730$	−22.5041	−	22.5041i	−0.832915	−	0.832915i
$731$	6.35539	−	3.66929i	0.235063	−	0.135714i
$732$		−	0.329849i		−	0.0121916i
$733$	−38.3067	−	10.2643i	−1.41489	−	0.379119i	−0.531223	−	0.847232i	$-0.678267\pi$
$733$	−38.3067	−	10.2643i	−1.41489	−	0.379119i	−0.883669	+	0.468113i	$0.844934\pi$
$734$	13.1880	+	3.53372i	0.486779	+	0.130432i
$735$	0.173333	−	0.0833687i	0.00639350	−	0.00307510i
$736$	−18.2884	+	18.2884i	−0.674121	+	0.674121i
$737$	1.75914	−	3.04692i	0.0647987	−	0.112235i
$738$	−7.20443	−	12.4784i	−0.265199	−	0.459337i
$739$	17.3308	+	4.64377i	0.637523	+	0.170824i	0.563081	−	0.826402i	$-0.309616\pi$
$739$	17.3308	+	4.64377i	0.637523	+	0.170824i	0.0744418	+	0.997225i	$0.476282\pi$
$740$	−14.7766	−	25.5938i	−0.543197	−	0.940845i
$741$	0.130068	−	0.300891i	0.00477817	−	0.0110535i
$742$	−14.8692	−	40.1039i	−0.545866	−	1.47226i
$743$	−13.8438	+	3.70943i	−0.507880	+	0.136086i	−0.503655	−	0.863905i	$-0.668012\pi$
$743$	−13.8438	+	3.70943i	−0.507880	+	0.136086i	−0.00422503	+	0.999991i	$0.501345\pi$
$744$	0.0727527			0.00266724
$745$	21.8662			0.801114
$746$	−2.16070	+	0.578959i	−0.0791090	+	0.0211972i
$747$	9.14581	+	34.1326i	0.334628	+	1.24885i
$748$	0.229489	−	0.856466i	0.00839097	−	0.0313155i
$749$	−3.31423	−	35.4361i	−0.121099	−	1.29481i
$750$	0.237254	+	0.410935i	0.00866327	+	0.0150052i
$751$			14.8260i			0.541008i	0.962719	+	0.270504i	$0.0871904\pi$
$751$			14.8260i			0.541008i	−0.962719	+	0.270504i	$0.912810\pi$
$752$	−7.01111	+	26.1658i	−0.255669	+	0.954169i
$753$	0.0329953	+	0.0190498i	0.00120242	+	0.000694215i
$754$	8.68043	+	11.6787i	0.316123	+	0.425314i
$755$		−	6.21648i		−	0.226241i
$756$	0.0755294	+	0.807570i	0.00274698	+	0.0293711i
$757$	16.7856	−	29.0735i	0.610082	−	1.05669i	−0.381144	−	0.924516i	$-0.624470\pi$
$757$	16.7856	−	29.0735i	0.610082	−	1.05669i	0.991226	−	0.132177i	$-0.0421968\pi$
$758$	28.0930	+	16.2195i	1.02038	+	0.589119i
$759$	0.00588469	+	0.0219620i	0.000213601	+	0.000797169i
$760$	5.72981	+	5.72981i	0.207842	+	0.207842i
$761$	0.530277	−	0.142087i	0.0192225	−	0.00515066i	−0.249195	−	0.968453i	$-0.580166\pi$
$761$	0.530277	−	0.142087i	0.0192225	−	0.00515066i	0.268418	+	0.963303i	$0.413499\pi$
$762$	0.144995	+	0.144995i	0.00525261	+	0.00525261i
$763$	−8.01215	−	21.6096i	−0.290059	−	0.782321i
$764$	−22.6269	−	13.0637i	−0.818614	−	0.472627i
$765$	−2.90110	+	2.90110i	−0.104889	+	0.104889i
$766$	10.6983	−	18.5301i	0.386547	−	0.669519i
$767$	21.8234	−	50.4849i	0.787999	−	1.82290i
$768$	0.0500225	−	0.0288805i	0.00180503	−	0.00104214i
$769$	−5.27369	−	19.6817i	−0.190174	−	0.709739i	−0.993463	−	0.114150i	$-0.963585\pi$
$769$	−5.27369	−	19.6817i	−0.190174	−	0.709739i	0.803289	−	0.595589i	$-0.203081\pi$
$770$	−2.57980	+	0.956507i	−0.0929696	+	0.0344701i
$771$	−0.214543	+	0.123867i	−0.00772659	+	0.00446095i
$772$	−10.0710	+	37.5855i	−0.362464	+	1.35273i
$773$	−19.7884	+	19.7884i	−0.711740	+	0.711740i	−0.966899	−	0.255159i	$-0.917872\pi$
$773$	−19.7884	+	19.7884i	−0.711740	+	0.711740i	0.255159	+	0.966899i	$0.417872\pi$
$774$	33.9492	−	33.9492i	1.22028	−	1.22028i
$775$	−2.31273	+	8.63123i	−0.0830757	+	0.310043i
$776$	14.3552	−	8.28797i	0.515321	−	0.297521i
$777$	−0.421806	−	0.0717738i	−0.0151322	−	0.00257487i
$778$	9.92313	+	37.0336i	0.355761	+	1.32772i
$779$	−8.94688	+	5.16548i	−0.320555	+	0.185073i
$780$	−0.205901	+	0.153040i	−0.00737243	+	0.00547970i
$781$	1.63772	−	2.83661i	0.0586021	−	0.101502i
$782$	4.91825	−	4.91825i	0.175876	−	0.175876i
$783$	−0.193143	−	0.111511i	−0.00690235	−	0.00398508i
$784$	−17.0133	+	3.21047i	−0.607616	+	0.114660i
$785$	4.29094	+	4.29094i	0.153150	+	0.153150i
$786$	−0.0937446	+	0.0251188i	−0.00334376	+	0.000895957i
$787$	−21.6945	−	21.6945i	−0.773326	−	0.773326i	0.205361	−	0.978686i	$-0.434163\pi$
$787$	−21.6945	−	21.6945i	−0.773326	−	0.773326i	−0.978686	+	0.205361i	$0.934163\pi$
$788$	−6.06560	−	22.6371i	−0.216078	−	0.806415i
$789$	−0.189377	−	0.109337i	−0.00674200	−	0.00389250i
$790$	2.65628	−	4.60081i	0.0945063	−	0.163690i
$791$	7.33981	−	5.20518i	0.260974	−	0.185075i
$792$		−	1.32066i		−	0.0469275i
$793$	−3.39110	+	23.0265i	−0.120422	+	0.817694i
$794$	16.2587	+	9.38695i	0.576999	+	0.333131i
$795$	−0.0536650	+	0.200280i	−0.00190330	+	0.00710322i
$796$		−	14.8572i		−	0.526599i
$797$	11.4398	+	19.8143i	0.405219	+	0.701860i	0.994347	−	0.106180i	$-0.0338620\pi$
$797$	11.4398	+	19.8143i	0.405219	+	0.701860i	−0.589128	+	0.808040i	$0.700529\pi$
$798$	0.513074	−	0.0479862i	0.0181626	−	0.00169869i
$799$	2.78430	−	10.3912i	0.0985016	−	0.367613i
$800$	−6.19896	−	23.1348i	−0.219166	−	0.817940i
$801$	39.3965	−	10.5563i	1.39201	−	0.372987i
$802$	−36.1170			−1.27533
$803$	3.71898			0.131240
$804$	0.498134	−	0.133475i	0.0175678	−	0.00470729i
$805$	−12.0052	−	2.04279i	−0.423129	−	0.0719988i
$806$	−22.3085	−	3.28537i	−0.785784	−	0.115722i
$807$	−0.161831	−	0.280299i	−0.00569672	−	0.00986700i
$808$	−1.35826	−	0.363946i	−0.0477835	−	0.0128036i
$809$	22.0767	+	38.2379i	0.776175	+	1.34437i	0.934132	+	0.356928i	$0.116176\pi$
$809$	22.0767	+	38.2379i	0.776175	+	1.34437i	−0.157957	+	0.987446i	$0.550491\pi$
$810$	−13.4191	+	23.2426i	−0.471499	+	0.816661i
$811$	−32.3569	+	32.3569i	−1.13620	+	1.13620i	−0.147078	+	0.989125i	$0.546987\pi$
$811$	−32.3569	+	32.3569i	−1.13620	+	1.13620i	−0.989125	+	0.147078i	$0.953013\pi$
$812$	−5.38451	+	11.7300i	−0.188959	+	0.411643i
$813$	0.0102829	+	0.00275529i	0.000360636	+	9.66322e-5i
$814$	5.91208	+	1.58414i	0.207218	+	0.0555240i
$815$			21.7082i			0.760406i
$816$	−0.0415156	+	0.0239691i	−0.00145334	+	0.000839085i
$817$	−24.3411	−	24.3411i	−0.851588	−	0.851588i
$818$	−62.8983			−2.19919
$819$	1.51481	−	28.5743i	0.0529316	−	0.998468i
$820$	8.08534			0.282352
$821$	30.5876	+	30.5876i	1.06752	+	1.06752i	0.997549	+	0.0699661i	$0.0222891\pi$
$821$	30.5876	+	30.5876i	1.06752	+	1.06752i	0.0699661	+	0.997549i	$0.477711\pi$
$822$	−0.689834	+	0.398276i	−0.0240607	+	0.0138915i
$823$		−	25.3047i		−	0.882067i	−0.897491	−	0.441033i	$-0.854612\pi$
$823$		−	25.3047i		−	0.882067i	0.897491	−	0.441033i	$-0.145388\pi$
$824$	−8.73272	−	2.33993i	−0.304219	−	0.0815152i
$825$	−0.0203377	−	0.00544947i	−0.000708068	−	0.000189726i
$826$	86.0860	−	8.05134i	2.99531	−	0.280142i
$827$	−0.367751	+	0.367751i	−0.0127880	+	0.0127880i	−0.713472	−	0.700684i	$-0.752878\pi$
$827$	−0.367751	+	0.367751i	−0.0127880	+	0.0127880i	0.700684	+	0.713472i	$0.252878\pi$
$828$	12.8375	−	22.2353i	0.446135	−	0.772729i
$829$	−7.50113	−	12.9923i	−0.260525	−	0.451243i	0.705856	−	0.708355i	$-0.250562\pi$
$829$	−7.50113	−	12.9923i	−0.260525	−	0.451243i	−0.966382	+	0.257112i	$0.917229\pi$
$830$	−33.9457	−	9.09573i	−1.17827	−	0.315718i
$831$	0.103452	+	0.179184i	0.00358871	+	0.00621582i
$832$	39.6064	−	15.6991i	1.37310	−	0.544268i
$833$	6.75643	−	1.27497i	0.234096	−	0.0441750i
$834$	−0.617651	+	0.165499i	−0.0213875	+	0.00573077i
$835$	18.2024			0.629919
$836$	−4.15921			−0.143849
$837$	0.333824	−	0.0894478i	0.0115386	−	0.00309177i
$838$	1.24305	+	4.63912i	0.0429404	+	0.160256i
$839$	2.91549	−	10.8808i	0.100654	−	0.375646i	−0.897162	−	0.441702i	$-0.854375\pi$
$839$	2.91549	−	10.8808i	0.100654	−	0.375646i	0.997816	+	0.0660560i	$0.0210416\pi$
$840$	−0.0834448	−	0.0383042i	−0.00287912	−	0.00132162i
$841$	12.7255	+	22.0413i	0.438812	+	0.760044i
$842$			16.1758i			0.557454i
$843$	−0.0796718	+	0.297339i	−0.00274404	+	0.0102409i
$844$	−5.47332	−	3.16002i	−0.188399	−	0.108772i
$845$	15.9472	−	8.56677i	0.548599	−	0.294706i
$846$		−	70.3806i		−	2.41973i
$847$	−12.0073	+	26.1575i	−0.412574	+	0.898782i
$848$	9.33211	−	16.1637i	0.320466	−	0.555063i
$849$	0.484191	+	0.279548i	0.0166174	+	0.00959406i
$850$	1.66707	+	6.22157i	0.0571799	+	0.213398i
$851$	19.1555	+	19.1555i	0.656643	+	0.656643i
$852$	0.463751	−	0.124262i	0.0158879	−	0.00425714i
$853$	−11.2202	−	11.2202i	−0.384171	−	0.384171i	0.488431	−	0.872602i	$-0.337569\pi$
$853$	−11.2202	−	11.2202i	−0.384171	−	0.384171i	−0.872602	+	0.488431i	$0.837569\pi$
$854$	−34.3067	+	12.7198i	−1.17395	+	0.435263i
$855$	16.6668	+	9.62258i	0.569992	+	0.329085i
$856$	−12.0136	+	12.0136i	−0.410615	+	0.410615i
$857$	22.2843	−	38.5976i	0.761219	−	1.31847i	−0.181004	−	0.983482i	$-0.557935\pi$
$857$	22.2843	−	38.5976i	0.761219	−	1.31847i	0.942223	−	0.334987i	$-0.108732\pi$
$858$	0.00774130	−	0.0525655i	0.000264284	−	0.00179456i
$859$	16.5887	−	9.57747i	0.565998	−	0.326779i	−0.189552	−	0.981871i	$-0.560703\pi$
$859$	16.5887	−	9.57747i	0.565998	−	0.326779i	0.755549	+	0.655092i	$0.227370\pi$
$860$	6.97283	+	26.0230i	0.237772	+	0.887376i
$861$	0.0747058	−	0.0901216i	0.00254597	−	0.00307134i
$862$	−16.1035	+	9.29737i	−0.548488	+	0.316670i
$863$	−4.99275	+	18.6332i	−0.169955	+	0.634282i	0.827401	+	0.561612i	$0.189819\pi$
$863$	−4.99275	+	18.6332i	−0.169955	+	0.634282i	−0.997356	+	0.0726698i	$0.976848\pi$
$864$	−0.655017	+	0.655017i	−0.0222841	+	0.0222841i
$865$	4.38653	−	4.38653i	0.149147	−	0.149147i
$866$	−14.1655	+	52.8662i	−0.481362	+	1.79647i
$867$	−0.274020	+	0.158205i	−0.00930620	+	0.00537294i
$868$	−6.95309	−	18.7532i	−0.236003	−	0.636526i
$869$	0.160674	+	0.599645i	0.00545051	+	0.0203416i
$870$	0.0960363	−	0.0554466i	0.00325593	−	0.00187981i
$871$	−36.1466	+	4.19655i	−1.22478	+	0.142195i
$872$	−5.50094	+	9.52790i	−0.186285	+	0.322656i
$873$	27.8374	−	27.8374i	0.942155	−	0.942155i
$874$	−28.2553	−	16.3132i	−0.955750	−	0.551803i
$875$	18.9531	−	22.8641i	0.640730	−	0.772947i
$876$	0.385462	+	0.385462i	0.0130235	+	0.0130235i
$877$	−9.50026	+	2.54559i	−0.320801	+	0.0859584i	−0.415626	−	0.909536i	$-0.636438\pi$
$877$	−9.50026	+	2.54559i	−0.320801	+	0.0859584i	0.0948250	+	0.995494i	$0.469771\pi$
$878$	−52.2067	−	52.2067i	−1.76189	−	1.76189i
$879$	−0.110480	−	0.412318i	−0.00372641	−	0.0139071i
$880$	−1.03978	−	0.600316i	−0.0350509	−	0.0202366i
$881$	23.9382	−	41.4622i	0.806500	−	1.39690i	−0.108774	−	0.994066i	$-0.534693\pi$
$881$	23.9382	−	41.4622i	0.806500	−	1.39690i	0.915274	−	0.402832i	$-0.131974\pi$
$882$	40.5377	−	19.4975i	1.36498	−	0.656517i
$883$			12.8094i			0.431069i	0.976496	+	0.215535i	$0.0691495\pi$
$883$			12.8094i			0.431069i	−0.976496	+	0.215535i	$0.930851\pi$
$884$	−8.52557	+	3.37935i	−0.286746	+	0.113660i
$885$	−0.362989	−	0.209572i	−0.0122017	−	0.00704467i
$886$	−19.7900	+	73.8572i	−0.664857	+	2.48128i
$887$		−	36.6972i		−	1.23217i	−0.787679	−	0.616086i	$-0.788717\pi$
$887$		−	36.6972i		−	1.23217i	0.787679	−	0.616086i	$-0.211283\pi$
$888$	0.102125	+	0.176885i	0.00342708	+	0.00593587i
$889$	5.35404	−	11.6637i	0.179569	−	0.391186i
$890$	−10.4985	+	39.1808i	−0.351909	+	1.31334i
$891$	−0.811701	−	3.02931i	−0.0271930	−	0.101486i
$892$	10.9651	−	2.93808i	0.367138	−	0.0983743i
$893$	−50.4620			−1.68865
$894$	−0.663802			−0.0222008
$895$	16.2004	−	4.34090i	0.541521	−	0.145100i
$896$	19.6866	+	16.3191i	0.657683	+	0.545183i
$897$	0.146000	−	0.184354i	0.00487481	−	0.00615540i
$898$	6.38466	+	11.0586i	0.213059	+	0.369029i
$899$	5.31209	+	1.42337i	0.177168	+	0.0474720i
$900$	11.8881	+	20.5908i	0.396270	+	0.686360i
$901$	−3.70604	+	6.41904i	−0.123466	+	0.213849i
$902$	−1.18407	+	1.18407i	−0.0394251	+	0.0394251i
$903$	0.354486	+	0.162722i	0.0117966	+	0.00541506i
$904$	−4.14903	−	1.11173i	−0.137995	−	0.0369756i
$905$	−31.5545	−	8.45500i	−1.04891	−	0.281054i
$906$			0.188717i			0.00626969i
$907$	−24.7443	+	14.2861i	−0.821622	+	0.474364i	−0.850975	−	0.525206i	$-0.823988\pi$
$907$	−24.7443	+	14.2861i	−0.821622	+	0.474364i	0.0293537	+	0.999569i	$0.490655\pi$
$908$	34.0162	+	34.0162i	1.12887	+	1.12887i
$909$	−3.33969			−0.110771
$910$	23.8573	+	15.5136i	0.790863	+	0.514271i
$911$	12.2854			0.407034			0.203517	−	0.979071i	$-0.434763\pi$
$911$	12.2854			0.407034			0.203517	+	0.979071i	$0.434763\pi$
$912$	0.159005	+	0.159005i	0.00526517	+	0.00526517i
$913$	3.55647	−	2.05333i	0.117702	−	0.0679552i
$914$			58.5440i			1.93646i
$915$	0.171329	+	0.0459075i	0.00566397	+	0.00151765i
$916$	23.3985	+	6.26961i	0.773108	+	0.207154i
$917$	3.51376	+	4.95475i	0.116035	+	0.163620i
$918$	0.176152	−	0.176152i	0.00581387	−	0.00581387i
$919$	0.388793	−	0.673409i	0.0128251	−	0.0222137i	−0.859542	−	0.511066i	$-0.829251\pi$
$919$	0.388793	−	0.673409i	0.0128251	−	0.0222137i	0.872367	+	0.488852i	$0.162584\pi$
$920$	2.90662	+	5.03441i	0.0958284	+	0.165980i
$921$	−0.192000	−	0.0514463i	−0.00632662	−	0.00169521i
$922$	−28.2194	−	48.8774i	−0.929357	−	1.60969i
$923$	−33.6516	+	3.90689i	−1.10766	+	0.128597i
$924$	0.0441881	−	0.0163835i	0.00145368	−	0.000538978i
$925$	−24.2317	+	6.49286i	−0.796733	+	0.213484i
$926$	61.1281			2.00879
$927$	−21.4720			−0.705232
$928$	−14.2383	+	3.81515i	−0.467396	+	0.125238i
$929$	3.47052	+	12.9521i	0.113864	+	0.424946i	0.999199	−	0.0400068i	$-0.0127380\pi$
$929$	3.47052	+	12.9521i	0.113864	+	0.424946i	−0.885335	+	0.464953i	$0.846071\pi$
$930$	−0.0444761	+	0.165987i	−0.00145843	+	0.00544294i
$931$	−13.9795	−	29.0650i	−0.458159	−	0.952568i
$932$	−24.9748	−	43.2576i	−0.818076	−	1.41695i
$933$		−	0.326417i		−	0.0106864i
$934$	−12.3866	+	46.2276i	−0.405303	+	1.51261i
$935$	0.412924	+	0.238402i	0.0135041	+	0.00779657i
$936$	−10.9629	+	8.14841i	−0.358334	+	0.266339i
$937$			1.11894i			0.0365542i	0.999833	+	0.0182771i	$0.00581811\pi$
$937$			1.11894i			0.0365542i	−0.999833	+	0.0182771i	$0.994182\pi$
$938$	−33.0917	−	46.6625i	−1.08048	−	1.52359i
$939$	0.341200	−	0.590975i	0.0111346	−	0.0192857i
$940$	34.2021	+	19.7466i	1.11555	+	0.644062i
$941$	−2.54413	−	9.49482i	−0.0829363	−	0.309522i	0.911979	−	0.410237i	$-0.134554\pi$
$941$	−2.54413	−	9.49482i	−0.0829363	−	0.309522i	−0.994915	+	0.100714i	$0.967887\pi$
$942$	−0.130262	−	0.130262i	−0.00424417	−	0.00424417i
$943$	−7.15892	+	1.91823i	−0.233126	+	0.0624661i
$944$	26.6785	+	26.6785i	0.868313	+	0.868313i
$945$	−0.429978	−	0.0731643i	−0.0139872	−	0.00238004i
$946$	−4.83211	−	2.78982i	−0.157105	−	0.0907048i
$947$	25.3868	−	25.3868i	0.824959	−	0.824959i	−0.161855	−	0.986815i	$-0.551748\pi$
$947$	25.3868	−	25.3868i	0.824959	−	0.824959i	0.986815	+	0.161855i	$0.0517477\pi$
$948$	−0.0454981	+	0.0788051i	−0.00147771	+	0.00255947i
$949$	−22.9459	−	30.8717i	−0.744857	−	1.00214i
$950$	26.1656	−	15.1067i	0.848925	−	0.490127i
$951$	−0.0631210	−	0.235571i	−0.00204684	−	0.00763890i
$952$	−2.52690	−	2.09466i	−0.0818973	−	0.0678883i
$953$	−1.55852	+	0.899814i	−0.0504855	+	0.0291478i	−0.525030	−	0.851084i	$-0.675946\pi$
$953$	−1.55852	+	0.899814i	−0.0504855	+	0.0291478i	0.474545	+	0.880231i	$0.342613\pi$
$954$	−12.5507	+	46.8399i	−0.406344	+	1.51650i
$955$	9.93466	−	9.93466i	0.321478	−	0.321478i
$956$	0.498863	−	0.498863i	0.0161344	−	0.0161344i
$957$	−0.00335388	+	0.0125168i	−0.000108416	+	0.000404612i
$958$	−28.5618	+	16.4901i	−0.922789	+	0.532772i
$959$	38.3818	+	31.8164i	1.23941	+	1.02740i
$960$	−0.0840331	−	0.313616i	−0.00271216	−	0.0101219i
$961$	19.4664	−	11.2389i	0.627949	−	0.362546i
$962$	−23.3272	−	58.8509i	−0.752099	−	1.89743i
$963$	−20.1755	+	34.9449i	−0.650145	+	1.12608i
$964$	−37.0709	+	37.0709i	−1.19397	+	1.19397i
$965$	−18.1209	−	10.4621i	−0.583333	−	0.336788i
$966$	0.364449	+	0.0620139i	0.0117259	+	0.00199526i
$967$	−40.2608	−	40.2608i	−1.29470	−	1.29470i	−0.931845	−	0.362857i	$-0.881802\pi$
$967$	−40.2608	−	40.2608i	−1.29470	−	1.29470i	−0.362857	−	0.931845i	$-0.618198\pi$
$968$	13.2712	−	3.55601i	0.426553	−	0.114295i
$969$	−0.0631451	−	0.0631451i	−0.00202851	−	0.00202851i
$970$	10.1334	+	37.8184i	0.325364	+	1.21428i
$971$	25.7522	+	14.8680i	0.826427	+	0.477138i	0.852628	−	0.522519i	$-0.175008\pi$
$971$	25.7522	+	14.8680i	0.826427	+	0.477138i	−0.0262007	+	0.999657i	$0.508341\pi$
$972$	0.689697	−	1.19459i	0.0221220	−	0.0383165i
$973$	23.1510	+	32.6452i	0.742187	+	1.04656i
$974$		−	38.8083i		−	1.24350i
$975$	0.0802462	+	0.202449i	0.00256993	+	0.00648355i
$976$	−13.8272	−	7.98311i	−0.442596	−	0.255533i
$977$	−11.7430	+	43.8253i	−0.375690	+	1.40210i	0.476643	+	0.879097i	$0.341853\pi$
$977$	−11.7430	+	43.8253i	−0.375690	+	1.40210i	−0.852333	+	0.522999i	$0.824813\pi$
$978$		−	0.659007i		−	0.0210727i
$979$	−2.36999	−	4.10494i	−0.0757451	−	0.131194i
$980$	−1.89860	+	25.1701i	−0.0606487	+	0.804028i
$981$	−6.76284	+	25.2393i	−0.215921	+	0.805828i
$982$	11.1064	+	41.4496i	0.354419	+	1.32271i
$983$	44.7741	−	11.9972i	1.42807	−	0.382651i	0.539732	−	0.841837i	$-0.318526\pi$
$983$	44.7741	−	11.9972i	1.42807	−	0.382651i	0.888340	+	0.459187i	$0.151859\pi$
$984$	−0.0558799			−0.00178138
$985$	12.6023			0.401543
$986$	3.82907	−	1.02600i	0.121942	−	0.0326744i
$987$	0.536117	−	0.198775i	0.0170648	−	0.00632707i
$988$	25.6621	+	34.5260i	0.816422	+	1.09842i
$989$	−12.3478	−	21.3870i	−0.392636	−	0.680066i
$990$	3.01311	+	0.807362i	0.0957631	+	0.0256596i
$991$	17.4610	+	30.2434i	0.554668	+	0.960713i	0.997929	+	0.0643204i	$0.0204880\pi$
$991$	17.4610	+	30.2434i	0.554668	+	0.960713i	−0.443262	+	0.896392i	$0.646179\pi$
$992$	11.4212	−	19.7821i	0.362623	−	0.628082i
$993$	0.276036	−	0.276036i	0.00875975	−	0.00875975i
$994$	−30.8076	−	43.4417i	−0.977158	−	1.37789i
$995$	7.71709	+	2.06779i	0.244648	+	0.0655533i
$996$	0.581440	+	0.155796i	0.0184236	+	0.00493659i
$997$			39.9473i			1.26514i	0.774502	+	0.632572i	$0.218001\pi$
$997$			39.9473i			1.26514i	−0.774502	+	0.632572i	$0.781999\pi$
$998$	14.6125	−	8.43652i	0.462550	−	0.267054i
$999$	0.686072	+	0.686072i	0.0217064	+	0.0217064i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.ba.a.59.7	yes	28
3.2	odd	2		819.2.et.b.514.1		28
7.2	even	3		637.2.x.a.215.7		28
7.3	odd	6		637.2.bd.a.293.1		28
7.4	even	3		637.2.bd.b.293.1		28
7.5	odd	6		91.2.w.a.33.7	✓	28
7.6	odd	2		637.2.bb.a.423.7		28
13.2	odd	12		91.2.w.a.80.7	yes	28
21.5	even	6		819.2.gh.b.397.1		28
39.2	even	12		819.2.gh.b.262.1		28
91.2	odd	12		637.2.bb.a.509.7		28
91.41	even	12		637.2.x.a.80.7		28
91.54	even	12	inner	91.2.ba.a.54.7	yes	28
91.67	odd	12		637.2.bd.a.587.1		28
91.80	even	12		637.2.bd.b.587.1		28
273.236	odd	12		819.2.et.b.145.1		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.7	✓	28	7.5	odd	6
91.2.w.a.80.7	yes	28	13.2	odd	12
91.2.ba.a.54.7	yes	28	91.54	even	12	inner
91.2.ba.a.59.7	yes	28	1.1	even	1	trivial
637.2.x.a.80.7		28	91.41	even	12
637.2.x.a.215.7		28	7.2	even	3
637.2.bb.a.423.7		28	7.6	odd	2
637.2.bb.a.509.7		28	91.2	odd	12
637.2.bd.a.293.1		28	7.3	odd	6
637.2.bd.a.587.1		28	91.67	odd	12
637.2.bd.b.293.1		28	7.4	even	3
637.2.bd.b.587.1		28	91.80	even	12
819.2.et.b.145.1		28	273.236	odd	12
819.2.et.b.514.1		28	3.2	odd	2
819.2.gh.b.262.1		28	39.2	even	12
819.2.gh.b.397.1		28	21.5	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)

\(f(q)\)	\(=\)	\(q+(1.51485 + 1.51485i) q^{2} +(0.0170886 - 0.00986613i) q^{3} +2.58954i q^{4} +(-1.34505 - 0.360406i) q^{5} +(0.0408324 + 0.0109410i) q^{6} +(-0.246373 - 2.63426i) q^{7} +(-0.893066 + 0.893066i) q^{8} +(-1.49981 + 2.59774i) q^{9} +O(q^{10})\)	\(q+(1.51485 + 1.51485i) q^{2} +(0.0170886 - 0.00986613i) q^{3} +2.58954i q^{4} +(-1.34505 - 0.360406i) q^{5} +(0.0408324 + 0.0109410i) q^{6} +(-0.246373 - 2.63426i) q^{7} +(-0.893066 + 0.893066i) q^{8} +(-1.49981 + 2.59774i) q^{9} +(-1.49159 - 2.58351i) q^{10} +(0.336721 + 0.0902242i) q^{11} +(0.0255487 + 0.0442517i) q^{12} +(-1.32860 - 3.35184i) q^{13} +(3.61728 - 4.36372i) q^{14} +(-0.0265409 + 0.00711162i) q^{15} +2.47336 q^{16} -0.982239 q^{17} +(-6.20717 + 1.66320i) q^{18} +(1.19250 + 4.45046i) q^{19} +(0.933286 - 3.48307i) q^{20} +(-0.0302001 - 0.0425851i) q^{21} +(0.373406 + 0.646758i) q^{22} +3.30540i q^{23} +(-0.00645018 + 0.0240724i) q^{24} +(-2.65085 - 1.53047i) q^{25} +(3.06491 - 7.09016i) q^{26} +0.118386i q^{27} +(6.82151 - 0.637994i) q^{28} +(-0.941928 + 1.63147i) q^{29} +(-0.0509786 - 0.0294325i) q^{30} +(-0.755562 - 2.81980i) q^{31} +(5.53290 + 5.53290i) q^{32} +(0.00664427 - 0.00178033i) q^{33} +(-1.48794 - 1.48794i) q^{34} +(-0.618016 + 3.63201i) q^{35} +(-6.72695 - 3.88381i) q^{36} +(5.79522 - 5.79522i) q^{37} +(-4.93532 + 8.54823i) q^{38} +(-0.0557736 - 0.0441703i) q^{39} +(1.52309 - 0.879355i) q^{40} +(0.580331 + 2.16583i) q^{41} +(0.0187614 - 0.110259i) q^{42} +(-6.47031 + 3.73564i) q^{43} +(-0.233639 + 0.871953i) q^{44} +(2.95356 - 2.95356i) q^{45} +(-5.00718 + 5.00718i) q^{46} +(-2.83465 + 10.5791i) q^{47} +(0.0422663 - 0.0244025i) q^{48} +(-6.87860 + 1.29802i) q^{49} +(-1.69721 - 6.33408i) q^{50} +(-0.0167851 + 0.00969089i) q^{51} +(8.67973 - 3.44045i) q^{52} +(3.77305 - 6.53511i) q^{53} +(-0.179337 + 0.179337i) q^{54} +(-0.420391 - 0.242713i) q^{55} +(2.57259 + 2.13254i) q^{56} +(0.0642869 + 0.0642869i) q^{57} +(-3.89831 + 1.04455i) q^{58} +(10.7864 + 10.7864i) q^{59} +(-0.0184158 - 0.0687288i) q^{60} +(-5.59044 - 3.22764i) q^{61} +(3.12700 - 5.41613i) q^{62} +(7.21262 + 3.31086i) q^{63} +11.8163i q^{64} +(0.579009 + 4.98724i) q^{65} +(0.0127620 + 0.00736814i) q^{66} +(2.61216 - 9.74870i) q^{67} -2.54355i q^{68} +(0.0326115 + 0.0564847i) q^{69} +(-6.43815 + 4.56574i) q^{70} +(2.43186 - 9.07582i) q^{71} +(-0.980528 - 3.65938i) q^{72} +(10.3048 - 2.76117i) q^{73} +17.5578 q^{74} -0.0603993 q^{75} +(-11.5246 + 3.08802i) q^{76} +(0.154714 - 0.909238i) q^{77} +(-0.0175773 - 0.151400i) q^{78} +(0.890418 + 1.54225i) q^{79} +(-3.32680 - 0.891413i) q^{80} +(-4.49825 - 7.79119i) q^{81} +(-2.40179 + 4.16002i) q^{82} +(8.33002 - 8.33002i) q^{83} +(0.110276 - 0.0782044i) q^{84} +(1.32116 + 0.354005i) q^{85} +(-15.4605 - 4.14262i) q^{86} +0.0371727i q^{87} +(-0.381291 + 0.220138i) q^{88} +(-9.61466 - 9.61466i) q^{89} +8.94839 q^{90} +(-8.50227 + 4.32566i) q^{91} -8.55946 q^{92} +(-0.0407320 - 0.0407320i) q^{93} +(-20.3198 + 11.7316i) q^{94} -6.41589i q^{95} +(0.149138 + 0.0399614i) q^{96} +(-12.6772 - 3.39684i) q^{97} +(-12.3864 - 8.45374i) q^{98} +(-0.739395 + 0.739395i) 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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