LMFDB - Embedded newform 847.2.n.d.753.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [847,2,Mod(9,847)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(847, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([10, 18]))

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

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

chi := DirichletCharacter("847.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 847 = 7 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	847.n (of order $15$, degree $8$, not 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:	$6.76332905120$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$3$ over $\Q(\zeta_{15})$
Twist minimal:	no (minimal twist has level 77)
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			753.3
Character	$\chi$	$=$	847.753
Dual form			847.2.n.d.9.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.66671 - 1.85107i) q^{2} +(-0.651849 + 0.290222i) q^{3} +(-0.439480 - 4.18137i) q^{4} +(-2.15623 + 0.458321i) q^{5} +(-0.549224 + 1.69034i) q^{6} +(-2.30546 - 1.29802i) q^{7} +(-4.44220 - 3.22745i) q^{8} +(-1.66671 + 1.85107i) q^{9} +O(q^{10})$	\(q+(1.66671 - 1.85107i) q^{2} +(-0.651849 + 0.290222i) q^{3} +(-0.439480 - 4.18137i) q^{4} +(-2.15623 + 0.458321i) q^{5} +(-0.549224 + 1.69034i) q^{6} +(-2.30546 - 1.29802i) q^{7} +(-4.44220 - 3.22745i) q^{8} +(-1.66671 + 1.85107i) q^{9} +(-2.74543 + 4.75523i) q^{10} +(1.50000 + 2.59808i) q^{12} +(1.01557 + 3.12561i) q^{13} +(-6.24527 + 2.10415i) q^{14} +(1.27252 - 0.924542i) q^{15} +(-5.15307 + 1.09532i) q^{16} +(-0.997582 - 1.10793i) q^{17} +(0.648537 + 6.17041i) q^{18} +(-0.723122 + 6.88004i) q^{19} +(2.86403 + 8.81457i) q^{20} +(1.87953 + 0.177017i) q^{21} +(-3.24543 - 5.62125i) q^{23} +(3.83232 + 0.814585i) q^{24} +(-0.128457 + 0.0571928i) q^{25} +(7.47840 + 3.32960i) q^{26} +(1.21071 - 3.72618i) q^{27} +(-4.41429 + 10.2104i) q^{28} +(-1.33468 + 0.969699i) q^{29} +(0.409536 - 3.89648i) q^{30} +(2.29889 + 0.488644i) q^{31} +(-1.07031 + 1.85383i) q^{32} -3.71354 q^{34} +(5.56601 + 1.74219i) q^{35} +(8.47250 + 6.15563i) q^{36} +(-5.07443 - 2.25928i) q^{37} +(11.5302 + 12.8056i) q^{38} +(-1.56912 - 1.74269i) q^{39} +(11.0576 + 4.92317i) q^{40} +(-9.10137 - 6.61254i) q^{41} +(3.46030 - 3.18410i) q^{42} -5.26819 q^{43} +(2.74543 - 4.75523i) q^{45} +(-15.8145 - 3.36149i) q^{46} +(-0.155838 + 1.48270i) q^{47} +(3.04114 - 2.20952i) q^{48} +(3.63030 + 5.98506i) q^{49} +(-0.108233 + 0.333107i) q^{50} +(0.971818 + 0.432681i) q^{51} +(12.6230 - 5.62013i) q^{52} +(-0.298076 - 0.0633579i) q^{53} +(-4.87953 - 8.45159i) q^{54} +(6.05203 + 13.2068i) q^{56} +(-1.52537 - 4.69462i) q^{57} +(-0.429539 + 4.08679i) q^{58} +(1.32320 + 12.5894i) q^{59} +(-4.42510 - 4.91457i) q^{60} +(-12.6980 + 2.69905i) q^{61} +(4.73611 - 3.44098i) q^{62} +(6.24527 - 2.10415i) q^{63} +(-1.60825 - 4.94968i) q^{64} +(-3.62234 - 6.27408i) q^{65} +(2.28646 - 3.96027i) q^{67} +(-4.19424 + 4.65817i) q^{68} +(3.74694 + 2.72231i) q^{69} +(12.5019 - 7.39937i) q^{70} +(3.50016 - 10.7724i) q^{71} +(13.3781 - 2.84361i) q^{72} +(-0.895567 - 8.52075i) q^{73} +(-12.6397 + 5.62756i) q^{74} +(0.0671361 - 0.0745622i) q^{75} +29.0858 q^{76} -5.84111 q^{78} +(-3.09906 + 3.44186i) q^{79} +(10.6092 - 4.72352i) q^{80} +(-0.488879 - 4.65137i) q^{81} +(-27.4097 + 5.82610i) q^{82} +(0.598322 - 1.84145i) q^{83} +(-0.0858404 - 7.93679i) q^{84} +(2.65880 + 1.93173i) q^{85} +(-8.78056 + 9.75180i) q^{86} +(0.588580 - 1.01945i) q^{87} +(-1.60220 - 2.77509i) q^{89} +(-4.22642 - 13.0076i) q^{90} +(1.71574 - 8.52421i) q^{91} +(-22.0782 + 16.0408i) q^{92} +(-1.64035 + 0.348666i) q^{93} +(2.48484 + 2.75970i) q^{94} +(-1.59405 - 15.1664i) q^{95} +(0.159658 - 1.51904i) q^{96} +(0.574582 + 1.76838i) q^{97} +(17.1294 + 3.25544i) q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - q^{3} + 4 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} - 18 q^{8}+O(q^{10}) $ 24 * q - q^3 + 4 * q^4 - 2 * q^5 - 2 * q^6 + 2 * q^7 - 18 * q^8	\( 24 q - q^{3} + 4 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} - 18 q^{8} - 36 q^{10} + 36 q^{12} - 22 q^{13} - 12 q^{14} + 14 q^{15} + 2 q^{16} + 3 q^{17} - 10 q^{18} + 11 q^{19} - 28 q^{20} - 40 q^{21} - 48 q^{23} - 2 q^{24} + 3 q^{25} + q^{26} - 4 q^{27} + 13 q^{28} - 18 q^{29} - 2 q^{30} - 3 q^{31} - 12 q^{32} - 80 q^{34} + 9 q^{35} + 18 q^{36} - 4 q^{37} + 8 q^{38} + 5 q^{39} + 3 q^{40} - 10 q^{41} + 2 q^{42} - 16 q^{43} + 36 q^{45} + 10 q^{46} - 3 q^{47} - 20 q^{48} + 24 q^{49} - 6 q^{50} - 2 q^{51} + 7 q^{52} + 17 q^{53} - 32 q^{54} + 12 q^{56} + 40 q^{57} - 13 q^{58} + 8 q^{59} + 6 q^{60} + 24 q^{61} + 26 q^{62} + 12 q^{63} + 14 q^{64} + 60 q^{65} + 64 q^{67} - 5 q^{68} + 6 q^{69} + 27 q^{70} - 14 q^{71} - 10 q^{72} + 20 q^{73} - 22 q^{74} + 25 q^{75} + 312 q^{76} - 48 q^{78} - 3 q^{79} + 9 q^{80} - 17 q^{81} + 41 q^{82} - 22 q^{83} + 12 q^{84} + 22 q^{85} - 21 q^{86} + 120 q^{87} - 4 q^{89} + 20 q^{90} + 15 q^{91} - 50 q^{92} - 26 q^{93} + 10 q^{94} + 17 q^{95} - 27 q^{96} - 18 q^{97} + 96 q^{98}+O(q^{100}) \) 24 * q - q^3 + 4 * q^4 - 2 * q^5 - 2 * q^6 + 2 * q^7 - 18 * q^8 - 36 * q^10 + 36 * q^12 - 22 * q^13 - 12 * q^14 + 14 * q^15 + 2 * q^16 + 3 * q^17 - 10 * q^18 + 11 * q^19 - 28 * q^20 - 40 * q^21 - 48 * q^23 - 2 * q^24 + 3 * q^25 + q^26 - 4 * q^27 + 13 * q^28 - 18 * q^29 - 2 * q^30 - 3 * q^31 - 12 * q^32 - 80 * q^34 + 9 * q^35 + 18 * q^36 - 4 * q^37 + 8 * q^38 + 5 * q^39 + 3 * q^40 - 10 * q^41 + 2 * q^42 - 16 * q^43 + 36 * q^45 + 10 * q^46 - 3 * q^47 - 20 * q^48 + 24 * q^49 - 6 * q^50 - 2 * q^51 + 7 * q^52 + 17 * q^53 - 32 * q^54 + 12 * q^56 + 40 * q^57 - 13 * q^58 + 8 * q^59 + 6 * q^60 + 24 * q^61 + 26 * q^62 + 12 * q^63 + 14 * q^64 + 60 * q^65 + 64 * q^67 - 5 * q^68 + 6 * q^69 + 27 * q^70 - 14 * q^71 - 10 * q^72 + 20 * q^73 - 22 * q^74 + 25 * q^75 + 312 * q^76 - 48 * q^78 - 3 * q^79 + 9 * q^80 - 17 * q^81 + 41 * q^82 - 22 * q^83 + 12 * q^84 + 22 * q^85 - 21 * q^86 + 120 * q^87 - 4 * q^89 + 20 * q^90 + 15 * q^91 - 50 * q^92 - 26 * q^93 + 10 * q^94 + 17 * q^95 - 27 * q^96 - 18 * q^97 + 96 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/847\mathbb{Z}\right)^\times$.

$n$	$122$	$365$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{5}\right)$

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 $

$2$	1.66671	−	1.85107i	1.17854	−	1.30891i	0.237199	−	0.971461i	$-0.423771\pi$
$2$	1.66671	−	1.85107i	1.17854	−	1.30891i	0.941345	−	0.337445i	$-0.109563\pi$
$3$	−0.651849	+	0.290222i	−0.376345	+	0.167560i	−0.586187	−	0.810176i	$-0.699372\pi$
$3$	−0.651849	+	0.290222i	−0.376345	+	0.167560i	0.209842	+	0.977735i	$0.432705\pi$
$4$	−0.439480	−	4.18137i	−0.219740	−	2.09068i
$5$	−2.15623	+	0.458321i	−0.964295	+	0.204967i	−0.663046	−	0.748578i	$-0.730737\pi$
$5$	−2.15623	+	0.458321i	−0.964295	+	0.204967i	−0.301249	+	0.953546i	$0.597404\pi$
$6$	−0.549224	+	1.69034i	−0.224220	+	0.690077i
$7$	−2.30546	−	1.29802i	−0.871382	−	0.490605i
$7$	−2.30546	−	1.29802i	−0.871382	−	0.490605i
$8$	−4.44220	−	3.22745i	−1.57056	−	1.14108i
$9$	−1.66671	+	1.85107i	−0.555571	+	0.617024i
$10$	−2.74543	+	4.75523i	−0.868182	+	1.50373i
$11$		0			0
$11$		0			0
$12$	1.50000	+	2.59808i	0.433013	+	0.750000i
$13$	1.01557	+	3.12561i	0.281669	+	0.866889i	0.987377	+	0.158386i	$0.0506290\pi$
$13$	1.01557	+	3.12561i	0.281669	+	0.866889i	−0.705708	+	0.708503i	$0.749371\pi$
$14$	−6.24527	+	2.10415i	−1.66912	+	0.562358i
$15$	1.27252	−	0.924542i	0.328564	−	0.238716i
$16$	−5.15307	+	1.09532i	−1.28827	+	0.273830i
$17$	−0.997582	−	1.10793i	−0.241949	−	0.268712i	0.609924	−	0.792460i	$-0.291200\pi$
$17$	−0.997582	−	1.10793i	−0.241949	−	0.268712i	−0.851873	+	0.523748i	$0.824533\pi$
$18$	0.648537	+	6.17041i	0.152862	+	1.45438i
$19$	−0.723122	+	6.88004i	−0.165895	+	1.57839i	0.522234	+	0.852802i	$0.325099\pi$
$19$	−0.723122	+	6.88004i	−0.165895	+	1.57839i	−0.688130	+	0.725588i	$0.741568\pi$
$20$	2.86403	+	8.81457i	0.640416	+	1.97100i
$21$	1.87953	+	0.177017i	0.410146	+	0.0386283i
$22$		0			0
$23$	−3.24543	−	5.62125i	−0.676719	−	1.17211i	−0.975963	−	0.217936i	$-0.930068\pi$
$23$	−3.24543	−	5.62125i	−0.676719	−	1.17211i	0.299244	−	0.954177i	$-0.403266\pi$
$24$	3.83232	+	0.814585i	0.782270	+	0.166277i
$25$	−0.128457	+	0.0571928i	−0.0256914	+	0.0114386i
$26$	7.47840	+	3.32960i	1.46664	+	0.652988i
$27$	1.21071	−	3.72618i	0.233001	−	0.717104i
$28$	−4.41429	+	10.2104i	−0.834223	+	1.92959i
$29$	−1.33468	+	0.969699i	−0.247843	+	0.180069i	−0.704770	−	0.709436i	$-0.748950\pi$
$29$	−1.33468	+	0.969699i	−0.247843	+	0.180069i	0.456927	+	0.889504i	$0.348950\pi$
$30$	0.409536	−	3.89648i	0.0747707	−	0.711396i
$31$	2.29889	+	0.488644i	0.412893	+	0.0877631i	0.409675	−	0.912232i	$-0.365642\pi$
$31$	2.29889	+	0.488644i	0.412893	+	0.0877631i	0.00321838	+	0.999995i	$0.498976\pi$
$32$	−1.07031	+	1.85383i	−0.189205	+	0.327713i
$33$		0			0
$34$	−3.71354			−0.636867
$35$	5.56601	+	1.74219i	0.940828	+	0.294483i
$36$	8.47250	+	6.15563i	1.41208	+	1.02594i
$37$	−5.07443	−	2.25928i	−0.834231	−	0.371423i	−0.0552509	−	0.998473i	$-0.517596\pi$
$37$	−5.07443	−	2.25928i	−0.834231	−	0.371423i	−0.778980	+	0.627049i	$0.784263\pi$
$38$	11.5302	+	12.8056i	1.87045	+	2.07734i
$39$	−1.56912	−	1.74269i	−0.251261	−	0.279053i
$40$	11.0576	+	4.92317i	1.74836	+	0.778421i
$41$	−9.10137	−	6.61254i	−1.42140	−	1.03270i	−0.991539	−	0.129807i	$-0.958564\pi$
$41$	−9.10137	−	6.61254i	−1.42140	−	1.03270i	−0.429857	−	0.902897i	$-0.641436\pi$
$42$	3.46030	−	3.18410i	0.533936	−	0.491318i
$43$	−5.26819			−0.803391			−0.401696	−	0.915773i	$-0.631579\pi$
$43$	−5.26819			−0.803391			−0.401696	+	0.915773i	$0.631579\pi$
$44$		0			0
$45$	2.74543	−	4.75523i	0.409265	−	0.708867i
$46$	−15.8145	−	3.36149i	−2.33173	−	0.495624i
$47$	−0.155838	+	1.48270i	−0.0227313	+	0.216274i	0.977260	+	0.212045i	$0.0680125\pi$
$47$	−0.155838	+	1.48270i	−0.0227313	+	0.216274i	−0.999991	+	0.00422804i	$0.998654\pi$
$48$	3.04114	−	2.20952i	0.438950	−	0.318916i
$49$	3.63030	+	5.98506i	0.518614	+	0.855009i
$50$	−0.108233	+	0.333107i	−0.0153065	+	0.0471085i
$51$	0.971818	+	0.432681i	0.136082	+	0.0605875i
$52$	12.6230	−	5.62013i	1.75050	−	0.779371i
$53$	−0.298076	−	0.0633579i	−0.0409438	−	0.00870288i	0.187394	−	0.982285i	$-0.439996\pi$
$53$	−0.298076	−	0.0633579i	−0.0409438	−	0.00870288i	−0.228338	+	0.973582i	$0.573329\pi$
$54$	−4.87953	−	8.45159i	−0.664019	−	1.15012i
$55$		0			0
$56$	6.05203	+	13.2068i	0.808737	+	1.76483i
$57$	−1.52537	−	4.69462i	−0.202041	−	0.621817i
$58$	−0.429539	+	4.08679i	−0.0564012	+	0.536622i
$59$	1.32320	+	12.5894i	0.172266	+	1.63900i	0.649601	+	0.760276i	$0.274936\pi$
$59$	1.32320	+	12.5894i	0.172266	+	1.63900i	−0.477335	+	0.878721i	$0.658397\pi$
$60$	−4.42510	−	4.91457i	−0.571278	−	0.634468i
$61$	−12.6980	+	2.69905i	−1.62582	+	0.345578i	−0.928543	−	0.371225i	$-0.878938\pi$
$61$	−12.6980	+	2.69905i	−1.62582	+	0.345578i	−0.697275	+	0.716803i	$0.745604\pi$
$62$	4.73611	−	3.44098i	0.601486	−	0.437005i
$63$	6.24527	−	2.10415i	0.786830	−	0.265098i
$64$	−1.60825	−	4.94968i	−0.201031	−	0.618710i
$65$	−3.62234	−	6.27408i	−0.449296	−	0.778204i
$66$		0			0
$67$	2.28646	−	3.96027i	0.279336	−	0.483824i	−0.691884	−	0.722009i	$-0.743219\pi$
$67$	2.28646	−	3.96027i	0.279336	−	0.483824i	0.971220	+	0.238185i	$0.0765524\pi$
$68$	−4.19424	+	4.65817i	−0.508626	+	0.564886i
$69$	3.74694	+	2.72231i	0.451079	+	0.327728i
$70$	12.5019	−	7.39937i	1.49426	−	0.884394i
$71$	3.50016	−	10.7724i	0.415392	−	1.27845i	−0.496508	−	0.868032i	$-0.665385\pi$
$71$	3.50016	−	10.7724i	0.415392	−	1.27845i	0.911900	−	0.410413i	$-0.134615\pi$
$72$	13.3781	−	2.84361i	1.57663	−	0.335122i
$73$	−0.895567	−	8.52075i	−0.104818	−	0.997279i	−0.912893	−	0.408199i	$-0.866157\pi$
$73$	−0.895567	−	8.52075i	−0.104818	−	0.997279i	0.808075	−	0.589080i	$-0.200510\pi$
$74$	−12.6397	+	5.62756i	−1.46934	+	0.654190i
$75$	0.0671361	−	0.0745622i	0.00775221	−	0.00860970i
$76$	29.0858			3.33637
$77$		0			0
$78$	−5.84111			−0.661376
$79$	−3.09906	+	3.44186i	−0.348672	+	0.387239i	−0.891815	−	0.452401i	$-0.850568\pi$
$79$	−3.09906	+	3.44186i	−0.348672	+	0.387239i	0.543143	+	0.839640i	$0.317234\pi$
$80$	10.6092	−	4.72352i	1.18614	−	0.528105i
$81$	−0.488879	−	4.65137i	−0.0543199	−	0.516819i
$82$	−27.4097	+	5.82610i	−3.02689	+	0.643385i
$83$	0.598322	−	1.84145i	0.0656744	−	0.202125i	−0.912834	−	0.408330i	$-0.866111\pi$
$83$	0.598322	−	1.84145i	0.0656744	−	0.202125i	0.978509	+	0.206205i	$0.0661113\pi$
$84$	−0.0858404	−	7.93679i	−0.00936596	−	0.865975i
$85$	2.65880	+	1.93173i	0.288388	+	0.209526i
$86$	−8.78056	+	9.75180i	−0.946832	+	1.05156i
$87$	0.588580	−	1.01945i	0.0631024	−	0.109297i
$88$		0			0
$89$	−1.60220	−	2.77509i	−0.169833	−	0.294159i	0.768528	−	0.639816i	$-0.220989\pi$
$89$	−1.60220	−	2.77509i	−0.169833	−	0.294159i	−0.938361	+	0.345657i	$0.887656\pi$
$90$	−4.22642	−	13.0076i	−0.445504	−	1.37112i
$91$	1.71574	−	8.52421i	0.179858	−	0.893580i
$92$	−22.0782	+	16.0408i	−2.30181	+	1.67237i
$93$	−1.64035	+	0.348666i	−0.170096	+	0.0361550i
$94$	2.48484	+	2.75970i	0.256292	+	0.284641i
$95$	−1.59405	−	15.1664i	−0.163546	−	1.55604i
$96$	0.159658	−	1.51904i	0.0162950	−	0.155037i
$97$	0.574582	+	1.76838i	0.0583400	+	0.179552i	0.975980	−	0.217861i	$-0.0699080\pi$
$97$	0.574582	+	1.76838i	0.0583400	+	0.179552i	−0.917640	+	0.397413i	$0.869908\pi$
$98$	17.1294	+	3.25544i	1.73034	+	0.328849i
$99$		0			0
$100$	0.295598	+	0.511992i	0.0295598	+	0.0511992i
$101$	5.91341	+	1.25693i	0.588406	+	0.125070i	0.492487	−	0.870320i	$-0.336088\pi$
$101$	5.91341	+	1.25693i	0.588406	+	0.125070i	0.0959186	+	0.995389i	$0.469421\pi$
$102$	2.42067	−	1.07775i	0.239682	−	0.106713i
$103$	−0.971818	−	0.432681i	−0.0957561	−	0.0426334i	0.358300	−	0.933607i	$-0.383357\pi$
$103$	−0.971818	−	0.432681i	−0.0957561	−	0.0426334i	−0.454056	+	0.890973i	$0.650023\pi$
$104$	5.57637	−	17.1623i	0.546808	−	1.68290i
$105$	−4.13382	+	0.479737i	−0.403420	+	0.0468175i
$106$	−0.614087	+	0.446160i	−0.0596454	+	0.0433349i
$107$	−0.661872	+	6.29729i	−0.0639856	+	0.608782i	0.914802	+	0.403903i	$0.132347\pi$
$107$	−0.661872	+	6.29729i	−0.0639856	+	0.608782i	−0.978787	+	0.204879i	$0.934320\pi$
$108$	−16.1126	−	3.42484i	−1.55044	−	0.329556i
$109$	−1.40694	+	2.43688i	−0.134760	+	0.233411i	−0.925506	−	0.378734i	$-0.876360\pi$
$109$	−1.40694	+	2.43688i	−0.134760	+	0.233411i	0.790746	+	0.612145i	$0.209693\pi$
$110$		0			0
$111$	3.96345			0.376194
$112$	13.3019	+	4.16356i	1.25691	+	0.393420i
$113$	10.3181	+	7.49651i	0.970641	+	0.705212i	0.955598	−	0.294675i	$-0.0952113\pi$
$113$	10.3181	+	7.49651i	0.970641	+	0.705212i	0.0150435	+	0.999887i	$0.495211\pi$
$114$	−11.2324	−	5.00100i	−1.05201	−	0.468387i
$115$	9.57424	+	10.6333i	0.892802	+	0.991557i
$116$	4.64123	+	5.15461i	0.430928	+	0.478594i
$117$	−7.47840	−	3.32960i	−0.691378	−	0.307821i
$118$	25.5092	+	18.5335i	2.34832	+	1.70615i
$119$	0.861777	+	3.84916i	0.0789989	+	0.352852i
$120$	−8.63671			−0.788420
$121$		0			0
$122$	−16.1679	+	28.0035i	−1.46377	+	2.53532i
$123$	7.85183	+	1.66896i	0.707975	+	0.150485i
$124$	1.03289	−	9.82726i	0.0927560	−	0.882514i
$125$	9.16776	−	6.66077i	0.819990	−	0.595757i
$126$	6.51413	−	15.0675i	0.580325	−	1.34232i
$127$	3.82486	−	11.7717i	0.339401	−	1.04457i	−0.625112	−	0.780535i	$-0.714947\pi$
$127$	3.82486	−	11.7717i	0.339401	−	1.04457i	0.964513	−	0.264034i	$-0.0850532\pi$
$128$	−15.7538	−	7.01404i	−1.39245	−	0.619960i
$129$	3.43407	−	1.52894i	0.302353	−	0.134616i
$130$	−17.6512	−	3.75187i	−1.54811	−	0.329061i
$131$	0.379526	+	0.657359i	0.0331594	+	0.0574337i	0.882129	−	0.471008i	$-0.156110\pi$
$131$	0.379526	+	0.657359i	0.0331594	+	0.0574337i	−0.848969	+	0.528442i	$0.822776\pi$
$132$		0			0
$133$	10.5975	−	14.9230i	0.918924	−	1.29399i
$134$	−3.51987	−	10.8330i	−0.304070	−	0.935832i
$135$	−0.902782	+	8.58940i	−0.0776991	+	0.739258i
$136$	0.855683	+	8.14128i	0.0733743	+	0.698109i
$137$	−3.90847	−	4.34079i	−0.333923	−	0.370859i	0.552677	−	0.833395i	$-0.313606\pi$
$137$	−3.90847	−	4.34079i	−0.333923	−	0.370859i	−0.886600	+	0.462536i	$0.846940\pi$
$138$	11.2843	−	2.39855i	0.960582	−	0.204178i
$139$	−4.50859	+	3.27568i	−0.382414	+	0.277840i	−0.762340	−	0.647177i	$-0.775949\pi$
$139$	−4.50859	+	3.27568i	−0.382414	+	0.277840i	0.379926	+	0.925017i	$0.375949\pi$
$140$	4.83857	−	24.0392i	0.408934	−	2.03168i
$141$	−0.328728	−	1.01172i	−0.0276839	−	0.0852024i
$142$	−14.1067	−	24.4335i	−1.18381	−	2.05041i
$143$		0			0
$144$	6.56117	−	11.3643i	0.546764	−	0.947023i
$145$	2.43344	−	2.70260i	0.202086	−	0.224439i
$146$	−17.2652	−	12.5439i	−1.42888	−	1.03814i
$147$	−4.10340	−	2.84777i	−0.338443	−	0.234880i
$148$	−7.21678	+	22.2110i	−0.593216	+	1.82573i
$149$	−0.978148	+	0.207912i	−0.0801330	+	0.0170328i	−0.247804	−	0.968810i	$-0.579709\pi$
$149$	−0.978148	+	0.207912i	−0.0801330	+	0.0170328i	0.167671	+	0.985843i	$0.446375\pi$
$150$	−0.0261234	−	0.248547i	−0.00213297	−	0.0202938i
$151$	−13.5580	+	6.03642i	−1.10334	+	0.491237i	−0.875869	−	0.482548i	$-0.839711\pi$
$151$	−13.5580	+	6.03642i	−1.10334	+	0.491237i	−0.227468	+	0.973786i	$0.573045\pi$
$152$	25.4172	−	28.2287i	2.06161	−	2.28965i
$153$	3.71354			0.300222
$154$		0			0
$155$	−5.18089			−0.416139
$156$	−6.59722	+	7.32695i	−0.528200	+	0.586626i
$157$	5.83804	−	2.59926i	0.465926	−	0.207444i	−0.160326	−	0.987064i	$-0.551255\pi$
$157$	5.83804	−	2.59926i	0.465926	−	0.207444i	0.626252	+	0.779620i	$0.284588\pi$
$158$	1.20588	+	11.4732i	0.0959347	+	0.912757i
$159$	0.212688	−	0.0452083i	0.0168673	−	0.00358525i
$160$	1.45818	−	4.48782i	0.115279	−	0.354793i
$161$	0.185726	+	17.1722i	0.0146373	+	1.35336i
$162$	−9.42485	−	6.84755i	−0.740486	−	0.537994i
$163$	6.65463	−	7.39071i	0.521230	−	0.578885i	−0.423846	−	0.905734i	$-0.639320\pi$
$163$	6.65463	−	7.39071i	0.521230	−	0.578885i	0.945077	+	0.326849i	$0.105987\pi$
$164$	−23.6496	+	40.9623i	−1.84672	+	3.19862i
$165$		0			0
$166$	−2.41142	−	4.17670i	−0.187163	−	0.324175i
$167$	0.599940	+	1.84643i	0.0464248	+	0.142881i	0.971582	−	0.236704i	$-0.0760670\pi$
$167$	0.599940	+	1.84643i	0.0464248	+	0.142881i	−0.925157	+	0.379584i	$0.876067\pi$
$168$	−7.77792	−	6.85242i	−0.600080	−	0.528676i
$169$	1.77916	−	1.29264i	0.136859	−	0.0994337i
$170$	8.00724	−	1.70199i	0.614127	−	0.130537i
$171$	−11.5302	−	12.8056i	−0.881738	−	0.979269i
$172$	2.31526	+	22.0282i	0.176537	+	1.67964i
$173$	0.672360	−	6.39707i	0.0511185	−	0.486360i	−0.938773	−	0.344536i	$-0.888036\pi$
$173$	0.672360	−	6.39707i	0.0511185	−	0.486360i	0.989892	−	0.141825i	$-0.0452970\pi$
$174$	−0.906082	−	2.78863i	−0.0686899	−	0.211406i
$175$	0.370390	+	0.0348840i	0.0279989	+	0.00263698i
$176$		0			0
$177$	−4.51624	−	7.82235i	−0.339461	−	0.587964i
$178$	−7.80731	−	1.65949i	−0.585182	−	0.124384i
$179$	−3.27594	+	1.45854i	−0.244855	+	0.109017i	−0.525495	−	0.850797i	$-0.676120\pi$
$179$	−3.27594	+	1.45854i	−0.244855	+	0.109017i	0.280640	+	0.959813i	$0.409453\pi$
$180$	−21.0899	−	9.38984i	−1.57195	−	0.699877i
$181$	3.77414	−	11.6156i	0.280530	−	0.863381i	−0.707174	−	0.707040i	$-0.750030\pi$
$181$	3.77414	−	11.6156i	0.280530	−	0.863381i	0.987703	−	0.156341i	$-0.0499699\pi$
$182$	−12.9193	−	17.3834i	−0.957641	−	1.28854i
$183$	7.49389	−	5.44463i	0.553964	−	0.402479i
$184$	−3.72544	+	35.4452i	−0.274643	+	2.61306i
$185$	11.9771	+	2.54581i	0.880574	+	0.187172i
$186$	−2.08858	+	3.61753i	−0.153142	+	0.265250i
$187$		0			0
$188$	6.26819			0.457155
$189$	−7.62790	+	7.01904i	−0.554848	+	0.510560i
$190$	−30.7309	−	22.3273i	−2.22945	−	1.61979i
$191$	11.0624	+	4.92530i	0.800447	+	0.356382i	0.765850	−	0.643019i	$-0.222319\pi$
$191$	11.0624	+	4.92530i	0.800447	+	0.356382i	0.0345971	+	0.999401i	$0.488985\pi$
$192$	2.48484	+	2.75970i	0.179328	+	0.199164i
$193$	7.98938	+	8.87311i	0.575088	+	0.638700i	0.958573	−	0.284847i	$-0.0919427\pi$
$193$	7.98938	+	8.87311i	0.575088	+	0.638700i	−0.383485	+	0.923547i	$0.625276\pi$
$194$	4.23107	+	1.88379i	0.303773	+	0.135248i
$195$	4.18210	+	3.03847i	0.299486	+	0.217589i
$196$	23.4303	−	17.8099i	1.67359	−	1.27214i
$197$	−12.1626			−0.866551			−0.433275	−	0.901262i	$-0.642642\pi$
$197$	−12.1626			−0.866551			−0.433275	+	0.901262i	$0.642642\pi$
$198$		0			0
$199$	−0.952451	+	1.64969i	−0.0675174	+	0.116944i	−0.897808	−	0.440387i	$-0.854841\pi$
$199$	−0.952451	+	1.64969i	−0.0675174	+	0.116944i	0.830290	+	0.557331i	$0.188174\pi$
$200$	0.755219	+	0.160527i	0.0534021	+	0.0113510i
$201$	−0.341072	+	3.24508i	−0.0240573	+	0.228890i
$202$	12.1826	−	8.85120i	0.857167	−	0.622768i
$203$	4.33573	−	0.503169i	0.304309	−	0.0353155i
$204$	1.38211	−	4.25369i	0.0967668	−	0.297818i
$205$	22.6553	+	10.0868i	1.58232	+	0.704493i
$206$	−2.42067	+	1.07775i	−0.168656	+	0.0750904i
$207$	15.8145	+	3.36149i	1.09919	+	0.233639i
$208$	−8.65685	−	14.9941i	−0.600245	−	1.03965i
$209$		0			0
$210$	−6.00187	+	8.45159i	−0.414168	+	0.583215i
$211$	5.01988	+	15.4496i	0.345583	+	1.06360i	0.961271	+	0.275605i	$0.0888782\pi$
$211$	5.01988	+	15.4496i	0.345583	+	1.06360i	−0.615688	+	0.787990i	$0.711122\pi$
$212$	−0.133925	+	1.27421i	−0.00919799	+	0.0875130i
$213$	0.844805	+	8.03779i	0.0578851	+	0.550740i
$214$	10.5536	+	11.7209i	0.721428	+	0.801228i
$215$	11.3594	−	2.41452i	0.774707	−	0.164669i
$216$	−17.4043	+	12.6449i	−1.18421	+	0.860380i
$217$	−4.66573	−	4.11055i	−0.316731	−	0.279043i
$218$	2.16589	+	6.66593i	0.146693	+	0.451473i
$219$	3.05669	+	5.29434i	0.206552	+	0.357758i
$220$		0			0
$221$	2.44983	−	4.24324i	0.164794	−	0.285431i
$222$	6.60594	−	7.33664i	0.443362	−	0.492403i
$223$	−2.45662	−	1.78484i	−0.164507	−	0.119522i	0.502486	−	0.864585i	$-0.332419\pi$
$223$	−2.45662	−	1.78484i	−0.164507	−	0.119522i	−0.666993	+	0.745064i	$0.732419\pi$
$224$	4.87385	−	2.88464i	0.325648	−	0.192738i
$225$	0.108233	−	0.333107i	0.00721554	−	0.0222072i
$226$	31.0738	−	6.60494i	2.06700	−	0.439354i
$227$	1.92845	+	18.3480i	0.127996	+	1.21780i	0.850328	+	0.526254i	$0.176404\pi$
$227$	1.92845	+	18.3480i	0.127996	+	1.21780i	−0.722332	+	0.691547i	$0.756930\pi$
$228$	−18.9596	+	8.44134i	−1.25563	+	0.559041i
$229$	−17.0627	+	18.9501i	−1.12754	+	1.25226i	−0.163483	+	0.986546i	$0.552273\pi$
$229$	−17.0627	+	18.9501i	−1.12754	+	1.25226i	−0.964053	+	0.265710i	$0.914394\pi$
$230$	35.6404			2.35006
$231$		0			0
$232$	9.05855			0.594723
$233$	−2.55448	+	2.83703i	−0.167349	+	0.185860i	−0.820986	−	0.570948i	$-0.806576\pi$
$233$	−2.55448	+	2.83703i	−0.167349	+	0.185860i	0.653637	+	0.756808i	$0.273242\pi$
$234$	−18.6277	+	8.29358i	−1.21773	+	0.542168i
$235$	−0.343529	−	3.26846i	−0.0224093	−	0.213211i
$236$	52.0593	−	11.0655i	3.38877	−	0.720306i
$237$	1.02122	−	3.14299i	0.0663353	−	0.204159i
$238$	8.56142	+	4.82024i	0.554954	+	0.312450i
$239$	10.5202	+	7.64340i	0.680498	+	0.494411i	0.873523	−	0.486783i	$-0.161830\pi$
$239$	10.5202	+	7.64340i	0.680498	+	0.494411i	−0.193025	+	0.981194i	$0.561830\pi$
$240$	−5.54473	+	6.15804i	−0.357910	+	0.397500i
$241$	−0.225292	+	0.390216i	−0.0145123	+	0.0251360i	−0.873190	−	0.487379i	$-0.837953\pi$
$241$	−0.225292	+	0.390216i	−0.0145123	+	0.0251360i	0.858678	+	0.512515i	$0.171286\pi$
$242$		0			0
$243$	7.54551	+	13.0692i	0.484045	+	0.838391i
$244$	16.8663	+	51.9090i	1.07975	+	3.32314i
$245$	−10.5708	−	11.2413i	−0.675346	−	0.718182i
$246$	16.1761	−	11.7526i	1.03135	−	0.749320i
$247$	−22.2387	+	4.72699i	−1.41502	+	0.300771i
$248$	−8.63506	−	9.59021i	−0.548327	−	0.608979i
$249$	0.144412	+	1.37399i	0.00915177	+	0.0870732i
$250$	2.95046	−	28.0718i	0.186604	−	1.77542i
$251$	0.345668	+	1.06386i	0.0218184	+	0.0671501i	0.961373	−	0.275249i	$-0.0887604\pi$
$251$	0.345668	+	1.06386i	0.0218184	+	0.0671501i	−0.939554	+	0.342399i	$0.888760\pi$
$252$	−11.5429	−	25.1890i	−0.727134	−	1.58676i
$253$		0			0
$254$	−15.4153	−	26.7001i	−0.967243	−	1.67531i
$255$	−2.29377	−	0.487556i	−0.143642	−	0.0305319i
$256$	−29.7317	+	13.2374i	−1.85823	+	0.827337i
$257$	−20.8650	−	9.28971i	−1.30152	−	0.579476i	−0.365304	−	0.930888i	$-0.619035\pi$
$257$	−20.8650	−	9.28971i	−1.30152	−	0.579476i	−0.936221	+	0.351412i	$0.885702\pi$
$258$	2.89342	−	8.90502i	0.180136	−	0.554402i
$259$	8.76630	+	11.7954i	0.544712	+	0.732929i
$260$	−24.6423	+	17.9037i	−1.52825	+	1.11034i
$261$	0.429539	−	4.08679i	0.0265878	−	0.252966i
$262$	1.84938	+	0.393098i	0.114255	+	0.0242857i
$263$	−4.59568	+	7.95995i	−0.283382	+	0.490832i	−0.972215	−	0.234088i	$-0.924790\pi$
$263$	−4.59568	+	7.95995i	−0.283382	+	0.490832i	0.688834	+	0.724919i	$0.258123\pi$
$264$		0			0
$265$	0.671758			0.0412658
$266$	−9.96056	−	44.4893i	−0.610721	−	2.72781i
$267$	1.84979	+	1.34395i	0.113205	+	0.0822483i
$268$	−17.5642	−	7.82009i	−1.07290	−	0.477688i
$269$	−10.4473	−	11.6029i	−0.636981	−	0.707440i	0.335074	−	0.942192i	$-0.391239\pi$
$269$	−10.4473	−	11.6029i	−0.636981	−	0.707440i	−0.972055	+	0.234752i	$0.924572\pi$
$270$	14.3949	+	15.9872i	0.876047	+	0.972949i
$271$	−25.3459	−	11.2847i	−1.53965	−	0.685497i	−0.550833	−	0.834616i	$-0.685690\pi$
$271$	−25.3459	−	11.2847i	−1.53965	−	0.685497i	−0.988819	+	0.149118i	$0.952357\pi$
$272$	6.35414	+	4.61655i	0.385276	+	0.279920i
$273$	1.35551	+	6.05444i	0.0820392	+	0.366432i
$274$	−14.5494			−0.878962
$275$		0			0
$276$	9.73630	−	16.8638i	0.586056	−	1.01508i
$277$	14.4887	+	3.07967i	0.870541	+	0.185039i	0.621462	−	0.783444i	$-0.286539\pi$
$277$	14.4887	+	3.07967i	0.870541	+	0.185039i	0.249079	+	0.968483i	$0.419872\pi$
$278$	−1.45100	+	13.8054i	−0.0870252	+	0.827990i
$279$	−4.73611	+	3.44098i	−0.283543	+	0.206006i
$280$	−19.1025	−	25.7032i	−1.14159	−	1.53606i
$281$	−4.70407	+	14.4776i	−0.280621	+	0.863663i	0.707056	+	0.707157i	$0.250023\pi$
$281$	−4.70407	+	14.4776i	−0.280621	+	0.863663i	−0.987677	+	0.156505i	$0.949977\pi$
$282$	−2.42067	−	1.07775i	−0.144149	−	0.0641791i
$283$	−19.8397	+	8.83321i	−1.17935	+	0.525080i	−0.900331	−	0.435206i	$-0.856676\pi$
$283$	−19.8397	+	8.83321i	−1.17935	+	0.525080i	−0.279018	+	0.960286i	$0.590009\pi$
$284$	−46.5815	−	9.90121i	−2.76410	−	0.587529i
$285$	5.44070	+	9.42356i	0.322279	+	0.558204i
$286$		0			0
$287$	12.3997	+	27.0587i	0.731929	+	1.59722i
$288$	−1.64767	−	5.07101i	−0.0970900	−	0.298812i
$289$	1.54465	−	14.6964i	0.0908618	−	0.864493i
$290$	−0.946877	−	9.00893i	−0.0556025	−	0.529023i
$291$	−0.887764	−	0.985962i	−0.0520417	−	0.0577981i
$292$	−35.2348	+	7.48940i	−2.06196	+	0.438284i
$293$	9.00240	−	6.54062i	0.525926	−	0.382107i	−0.292906	−	0.956141i	$-0.594622\pi$
$293$	9.00240	−	6.54062i	0.525926	−	0.382107i	0.818832	+	0.574034i	$0.194622\pi$
$294$	−12.1106	+	2.84929i	−0.706305	+	0.166174i
$295$	−8.62309	−	26.5391i	−0.502056	−	1.54517i
$296$	15.2499	+	26.4136i	0.886383	+	1.53526i
$297$		0			0
$298$	−1.24543	+	2.15715i	−0.0721459	+	0.124960i
$299$	14.2739	−	15.8527i	0.825480	−	0.916788i
$300$	−0.341277	−	0.247952i	−0.0197036	−	0.0143155i
$301$	12.1456	+	6.83821i	0.700061	+	0.394148i
$302$	−11.4235	+	35.1579i	−0.657348	+	2.02311i
$303$	−4.21944	+	0.896870i	−0.242400	+	0.0515238i
$304$	−3.80954	−	36.2454i	−0.218492	−	2.07881i
$305$	26.1429	−	11.6396i	1.49694	−	0.666479i
$306$	6.18940	−	6.87403i	0.353825	−	0.392962i
$307$	−24.9855			−1.42600			−0.712998	−	0.701166i	$-0.752663\pi$
$307$	−24.9855			−1.42600			−0.712998	+	0.701166i	$0.752663\pi$
$308$		0			0
$309$	0.759053			0.0431810
$310$	−8.63506	+	9.59021i	−0.490439	+	0.544687i
$311$	31.7373	−	14.1303i	1.79966	−	0.801259i	0.829608	−	0.558347i	$-0.188564\pi$
$311$	31.7373	−	14.1303i	1.79966	−	0.801259i	0.970048	−	0.242912i	$-0.0781026\pi$
$312$	1.34593	+	12.8056i	0.0761980	+	0.724976i
$313$	−23.1914	+	4.92948i	−1.31085	+	0.278630i	−0.809759	−	0.586762i	$-0.800402\pi$
$313$	−23.1914	+	4.92948i	−1.31085	+	0.278630i	−0.501094	+	0.865393i	$0.667069\pi$
$314$	4.91891	−	15.1389i	0.277590	−	0.854335i
$315$	−12.5019	+	7.39937i	−0.704400	+	0.416907i
$316$	15.7537	+	11.4457i	0.886212	+	0.643871i
$317$	13.1665	−	14.6229i	0.739503	−	0.821301i	−0.249627	−	0.968342i	$-0.580308\pi$
$317$	13.1665	−	14.6229i	0.739503	−	0.821301i	0.989130	+	0.147041i	$0.0469748\pi$
$318$	0.270807	−	0.469051i	0.0151861	−	0.0263031i
$319$		0			0
$320$	5.73630	+	9.93556i	0.320669	+	0.555414i
$321$	−1.39617	−	4.29697i	−0.0779267	−	0.239834i
$322$	32.0965	+	28.2773i	1.78867	+	1.57584i
$323$	8.34396	−	6.06224i	0.464270	−	0.337312i
$324$	−19.2342	+	4.08837i	−1.06857	+	0.227131i
$325$	−0.309220	−	0.343424i	−0.0171524	−	0.0190497i
$326$	−2.58939	−	24.6364i	−0.143413	−	1.36448i
$327$	0.209873	−	1.99680i	0.0116060	−	0.110424i
$328$	19.0885	+	58.7484i	1.05399	+	3.24384i
$329$	2.28384	−	3.21602i	0.125912	−	0.177305i
$330$		0			0
$331$	14.0949	+	24.4131i	0.774728	+	1.34187i	0.934947	+	0.354786i	$0.115446\pi$
$331$	14.0949	+	24.4131i	0.774728	+	1.34187i	−0.160220	+	0.987081i	$0.551220\pi$
$332$	−7.96272	−	1.69253i	−0.437011	−	0.0928896i
$333$	12.6397	−	5.62756i	0.692652	−	0.308388i
$334$	4.41780	+	1.96693i	0.241731	+	0.107626i
$335$	−3.11506	+	9.58718i	−0.170194	+	0.523804i
$336$	−9.87922	+	1.14650i	−0.538955	+	0.0625467i
$337$	17.5929	−	12.7820i	0.958346	−	0.696279i	0.00558004	−	0.999984i	$-0.498224\pi$
$337$	17.5929	−	12.7820i	0.958346	−	0.696279i	0.952766	+	0.303705i	$0.0982238\pi$
$338$	0.572589	−	5.44782i	0.0311447	−	0.296322i
$339$	−8.90147	−	1.89207i	−0.483461	−	0.102763i
$340$	6.90880	−	11.9664i	0.374682	−	0.648969i
$341$		0			0
$342$	−42.9217			−2.32094
$343$	−0.600789	−	18.5105i	−0.0324396	−	0.999474i
$344$	23.4024	+	17.0028i	1.26177	+	0.916730i
$345$	−9.32697	−	4.15263i	−0.502147	−	0.223570i
$346$	−10.7208	−	11.9067i	−0.576355	−	0.640107i
$347$	2.63734	+	2.92907i	0.141580	+	0.157240i	0.809764	−	0.586755i	$-0.199595\pi$
$347$	2.63734	+	2.92907i	0.141580	+	0.157240i	−0.668184	+	0.743996i	$0.732928\pi$
$348$	−4.52137	−	2.01304i	−0.242371	−	0.107910i
$349$	−11.4147	−	8.29324i	−0.611013	−	0.443927i	0.238758	−	0.971079i	$-0.423260\pi$
$349$	−11.4147	−	8.29324i	−0.611013	−	0.443927i	−0.849771	+	0.527152i	$0.823260\pi$
$350$	0.681907	−	0.627477i	0.0364494	−	0.0335401i
$351$	12.8762			0.687279
$352$		0			0
$353$	2.48434	−	4.30301i	0.132228	−	0.229026i	−0.792307	−	0.610123i	$-0.791120\pi$
$353$	2.48434	−	4.30301i	0.132228	−	0.229026i	0.924535	+	0.381097i	$0.124453\pi$
$354$	−22.0070	−	4.67774i	−1.16966	−	0.248619i
$355$	−2.60994	+	24.8319i	−0.138521	+	1.31794i
$356$	−10.8996	+	7.91899i	−0.577675	+	0.419706i
$357$	−1.67886	−	2.25897i	−0.0888547	−	0.119557i
$358$	−2.76018	+	8.49497i	−0.145880	+	0.448973i
$359$	3.71958	+	1.65607i	0.196312	+	0.0874038i	0.502538	−	0.864555i	$-0.332400\pi$
$359$	3.71958	+	1.65607i	0.196312	+	0.0874038i	−0.306226	+	0.951959i	$0.599066\pi$
$360$	−27.5430	+	12.2629i	−1.45164	+	0.646314i
$361$	−28.2273	−	5.99989i	−1.48565	−	0.315784i
$362$	−15.2109	−	26.3461i	−0.799468	−	1.38472i
$363$		0			0
$364$	−36.3969	−	3.42792i	−1.90772	−	0.179672i
$365$	5.83629	+	17.9623i	0.305485	+	0.940187i
$366$	2.41176	−	22.9464i	0.126065	−	1.19943i
$367$	1.88381	+	17.9233i	0.0983342	+	0.935588i	0.926802	+	0.375551i	$0.122546\pi$
$367$	1.88381	+	17.9233i	0.0983342	+	0.935588i	−0.828468	+	0.560037i	$0.810787\pi$
$368$	22.8810	+	25.4119i	1.19275	+	1.32469i
$369$	27.4097	−	5.82610i	1.42689	−	0.303295i
$370$	24.6749	−	17.9274i	1.28279	−	0.931999i
$371$	0.604962	+	0.532977i	0.0314081	+	0.0276708i
$372$	2.17880	+	6.70566i	0.112966	+	0.347672i
$373$	14.4582	+	25.0424i	0.748618	+	1.29664i	0.948485	+	0.316822i	$0.102616\pi$
$373$	14.4582	+	25.0424i	0.748618	+	1.29664i	−0.199867	+	0.979823i	$0.564051\pi$
$374$		0			0
$375$	−4.04290	+	7.00250i	−0.208774	+	0.361608i
$376$	5.47759	−	6.08348i	0.282485	−	0.313731i
$377$	−4.38636	−	3.18688i	−0.225909	−	0.164133i
$378$	0.279240	+	25.8185i	0.0143626	+	1.32796i
$379$	1.33139	−	4.09760i	0.0683889	−	0.210479i	−0.911021	−	0.412359i	$-0.864705\pi$
$379$	1.33139	−	4.09760i	0.0683889	−	0.210479i	0.979410	+	0.201880i	$0.0647049\pi$
$380$	−62.7157	+	13.3306i	−3.21725	+	0.683847i
$381$	0.923176	+	8.78343i	0.0472957	+	0.449989i
$382$	27.5549	−	12.2682i	1.40983	−	0.627698i
$383$	−8.26293	+	9.17691i	−0.422216	+	0.468918i	−0.916298	−	0.400497i	$-0.868837\pi$
$383$	−8.26293	+	9.17691i	−0.422216	+	0.468918i	0.494082	+	0.869415i	$0.335504\pi$
$384$	12.3047			0.627923
$385$		0			0
$386$	29.7408			1.51377
$387$	8.78056	−	9.75180i	0.446341	−	0.495712i
$388$	7.14174	−	3.17971i	0.362567	−	0.161425i
$389$	−3.07554	−	29.2618i	−0.155936	−	1.48363i	−0.740374	−	0.672195i	$-0.765352\pi$
$389$	−3.07554	−	29.2618i	−0.155936	−	1.48363i	0.584438	−	0.811438i	$-0.301315\pi$
$390$	12.5948	−	2.67710i	0.637762	−	0.135560i
$391$	−2.99036	+	9.20337i	−0.151229	+	0.465434i
$392$	3.18996	−	38.3034i	0.161117	−	1.93462i
$393$	−0.438174	−	0.318352i	−0.0221030	−	0.0160587i
$394$	−20.2716	+	22.5139i	−1.02127	+	1.13423i
$395$	5.10482	−	8.84180i	0.256851	−	0.444879i
$396$		0			0
$397$	8.64975	+	14.9818i	0.434119	+	0.751915i	0.997223	−	0.0744702i	$-0.0237266\pi$
$397$	8.64975	+	14.9818i	0.434119	+	0.751915i	−0.563105	+	0.826386i	$0.690393\pi$
$398$	1.46624	+	4.51262i	0.0734959	+	0.226197i
$399$	−2.57701	+	12.8032i	−0.129012	+	0.640963i
$400$	0.599304	−	0.435420i	0.0299652	−	0.0217710i
$401$	24.4052	−	5.18748i	1.21874	−	0.259051i	0.446732	−	0.894668i	$-0.352588\pi$
$401$	24.4052	−	5.18748i	1.21874	−	0.259051i	0.772005	+	0.635617i	$0.219254\pi$
$402$	5.43841	+	6.03997i	0.271243	+	0.301246i
$403$	0.807379	+	7.68169i	0.0402184	+	0.382652i
$404$	2.65688	−	25.2785i	0.132185	−	1.25765i
$405$	3.18596	+	9.80536i	0.158311	+	0.487232i
$406$	6.29502	−	8.86439i	0.312416	−	0.439932i
$407$		0			0
$408$	−2.92056	−	5.05855i	−0.144589	−	0.250436i
$409$	−37.7158	−	8.01674i	−1.86493	−	0.396402i	−0.869665	−	0.493642i	$-0.835665\pi$
$409$	−37.7158	−	8.01674i	−1.86493	−	0.396402i	−0.995261	+	0.0972401i	$0.968999\pi$
$410$	56.4313	−	25.1248i	2.78694	−	1.24083i
$411$	3.80753	+	1.69522i	0.187811	+	0.0836190i
$412$	−1.38211	+	4.25369i	−0.0680915	+	0.209564i
$413$	13.2907	−	30.7418i	0.653991	−	1.51271i
$414$	32.5807	−	23.6712i	1.60125	−	1.16338i
$415$	−0.446147	+	4.24481i	−0.0219005	+	0.208369i
$416$	−6.88131	−	1.46267i	−0.337384	−	0.0717132i
$417$	1.98825	−	3.44374i	0.0973648	−	0.168641i
$418$		0			0
$419$	0.908970			0.0444061			0.0222030	−	0.999753i	$-0.492932\pi$
$419$	0.908970			0.0444061			0.0222030	+	0.999753i	$0.492932\pi$
$420$	3.82269	+	17.0742i	0.186528	+	0.833136i
$421$	−12.5828	−	9.14191i	−0.613246	−	0.445550i	0.237310	−	0.971434i	$-0.423734\pi$
$421$	−12.5828	−	9.14191i	−0.613246	−	0.445550i	−0.850556	+	0.525884i	$0.823734\pi$
$422$	36.9651	+	16.4579i	1.79943	+	0.801158i
$423$	−2.48484	−	2.75970i	−0.120817	−	0.134181i
$424$	1.11963	+	1.24347i	0.0543739	+	0.0603884i
$425$	0.191512	+	0.0852666i	0.00928970	+	0.00413604i
$426$	16.2866	+	11.8329i	0.789087	+	0.573305i
$427$	32.7783	+	10.2597i	1.58625	+	0.496503i
$428$	26.6222			1.28683
$429$		0			0
$430$	14.4635	−	25.0514i	0.697490	−	1.20809i
$431$	3.45910	+	0.735254i	0.166619	+	0.0354160i	0.290466	−	0.956885i	$-0.406190\pi$
$431$	3.45910	+	0.735254i	0.166619	+	0.0354160i	−0.123847	+	0.992301i	$0.539523\pi$
$432$	−2.15751	+	20.5274i	−0.103803	+	0.987624i
$433$	−14.2757	+	10.3719i	−0.686044	+	0.498440i	−0.875357	−	0.483476i	$-0.839374\pi$
$433$	−14.2757	+	10.3719i	−0.686044	+	0.498440i	0.189313	+	0.981917i	$0.439374\pi$
$434$	−15.3854	+	1.78550i	−0.738521	+	0.0857066i
$435$	−0.801878	+	2.46793i	−0.0384471	+	0.118328i
$436$	10.8078	+	4.81196i	0.517601	+	0.230451i
$437$	41.0213	−	18.2639i	1.96231	−	0.873679i
$438$	14.8948	+	3.16599i	0.711702	+	0.151277i
$439$	7.51362	+	13.0140i	0.358606	+	0.621123i	0.987728	−	0.156183i	$-0.0499190\pi$
$439$	7.51362	+	13.0140i	0.358606	+	0.621123i	−0.629123	+	0.777306i	$0.716586\pi$
$440$		0			0
$441$	−17.1294	−	3.25544i	−0.815688	−	0.155021i
$442$	−3.77137	−	11.6071i	−0.179386	−	0.552092i
$443$	−1.38215	+	13.1502i	−0.0656677	+	0.624787i	0.911351	+	0.411631i	$0.135041\pi$
$443$	−1.38215	+	13.1502i	−0.0656677	+	0.624787i	−0.977018	+	0.213156i	$0.931626\pi$
$444$	−1.74186	−	16.5727i	−0.0826649	−	0.786504i
$445$	4.72660	+	5.24942i	0.224062	+	0.248846i
$446$	−7.39834	+	1.57257i	−0.350321	+	0.0744631i
$447$	0.577264	−	0.419407i	0.0273037	−	0.0198373i
$448$	−2.71702	+	13.4988i	−0.128367	+	0.637760i
$449$	−3.06194	−	9.42367i	−0.144502	−	0.444731i	0.852445	−	0.522817i	$-0.175119\pi$
$449$	−3.06194	−	9.42367i	−0.144502	−	0.444731i	−0.996947	+	0.0780865i	$0.975119\pi$
$450$	−0.436212	−	0.755542i	−0.0205632	−	0.0356166i
$451$		0			0
$452$	26.8111	−	46.4382i	1.26109	−	2.18427i
$453$	7.08589	−	7.86968i	0.332924	−	0.369750i
$454$	37.1777	+	27.0112i	1.74484	+	1.26770i
$455$	0.207295	+	19.1665i	0.00971816	+	0.898540i
$456$	−8.37562	+	25.7775i	−0.392224	+	1.20714i
$457$	10.1190	−	2.15085i	0.473345	−	0.100613i	0.0349384	−	0.999389i	$-0.488876\pi$
$457$	10.1190	−	2.15085i	0.473345	−	0.100613i	0.438406	+	0.898777i	$0.355543\pi$
$458$	6.63929	+	63.1687i	0.310234	+	2.95168i
$459$	−5.33612	+	2.37579i	−0.249069	+	0.110893i
$460$	40.2539	−	44.7065i	1.87685	−	2.08445i
$461$	15.3372			0.714325			0.357163	−	0.934042i	$-0.383744\pi$
$461$	15.3372			0.714325			0.357163	+	0.934042i	$0.383744\pi$
$462$		0			0
$463$	−25.1313			−1.16795			−0.583976	−	0.811771i	$-0.698504\pi$
$463$	−25.1313			−1.16795			−0.583976	+	0.811771i	$0.698504\pi$
$464$	5.81555	−	6.45882i	0.269980	−	0.299843i
$465$	3.37716	−	1.50361i	0.156612	−	0.0697282i
$466$	0.993975	+	9.45704i	0.0460450	+	0.438089i
$467$	0.729712	−	0.155105i	0.0337671	−	0.00717741i	−0.190997	−	0.981591i	$-0.561172\pi$
$467$	0.729712	−	0.155105i	0.0337671	−	0.00717741i	0.224764	+	0.974413i	$0.427839\pi$
$468$	−10.6357	+	32.7332i	−0.491634	+	1.51309i
$469$	−10.4118	+	6.16237i	−0.480775	+	0.284552i
$470$	−6.62272	−	4.81169i	−0.305483	−	0.221947i
$471$	−3.05116	+	3.38866i	−0.140590	+	0.156141i
$472$	34.7537	−	60.1951i	1.59967	−	2.77070i
$473$		0			0
$474$	−4.11582	−	7.12881i	−0.189046	−	0.327437i
$475$	−0.300599	−	0.925148i	−0.0137924	−	0.0424487i
$476$	15.7160	−	5.29504i	0.720344	−	0.242698i
$477$	0.614087	−	0.446160i	0.0281171	−	0.0204283i
$478$	31.6827	−	6.73437i	1.44913	−	0.308023i
$479$	13.4582	+	14.9469i	0.614923	+	0.682941i	0.967509	−	0.252838i	$-0.0813641\pi$
$479$	13.4582	+	14.9469i	0.614923	+	0.682941i	−0.352585	+	0.935780i	$0.614697\pi$
$480$	0.351950	+	3.34858i	0.0160642	+	0.152841i
$481$	1.90818	−	18.1551i	0.0870057	−	0.827803i
$482$	0.346822	+	1.06741i	0.0157973	+	0.0486192i
$483$	−5.10482	−	11.1398i	−0.232277	−	0.506878i
$484$		0			0
$485$	−2.04942	−	3.54969i	−0.0930592	−	0.161183i
$486$	36.7683	+	7.81534i	1.66784	+	0.354511i
$487$	−3.88249	+	1.72860i	−0.175933	+	0.0783302i	−0.492813	−	0.870135i	$-0.664031\pi$
$487$	−3.88249	+	1.72860i	−0.175933	+	0.0783302i	0.316880	+	0.948466i	$0.397365\pi$
$488$	65.1183	+	28.9926i	2.94777	+	1.31243i
$489$	−2.19287	+	6.74895i	−0.0991648	+	0.305198i
$490$	−38.4271	+	0.831313i	−1.73596	+	0.0375549i
$491$	24.5358	−	17.8263i	1.10728	−	0.804490i	0.125051	−	0.992150i	$-0.460091\pi$
$491$	24.5358	−	17.8263i	1.10728	−	0.804490i	0.982234	+	0.187661i	$0.0600906\pi$
$492$	3.52781	−	33.5649i	0.159046	−	1.51322i
$493$	2.40581	+	0.511370i	0.108352	+	0.0230309i
$494$	−28.3156	+	49.0440i	−1.27398	+	2.20659i
$495$		0			0
$496$	−12.3816			−0.555948
$497$	−22.0522	+	20.2920i	−0.989177	+	0.910221i
$498$	2.78405	+	2.02273i	0.124756	+	0.0906409i
$499$	13.1928	+	5.87380i	0.590589	+	0.262947i	0.680196	−	0.733030i	$-0.261894\pi$
$499$	13.1928	+	5.87380i	0.590589	+	0.262947i	−0.0896071	+	0.995977i	$0.528561\pi$
$500$	−31.8802	−	35.4065i	−1.42573	−	1.58343i
$501$	−0.926944	−	1.02948i	−0.0414128	−	0.0459936i
$502$	2.54541	+	1.13329i	0.113607	+	0.0505811i
$503$	−2.39325	−	1.73880i	−0.106710	−	0.0775292i	0.533151	−	0.846020i	$-0.321008\pi$
$503$	−2.39325	−	1.73880i	−0.106710	−	0.0775292i	−0.639860	+	0.768491i	$0.721008\pi$
$504$	−34.5338	−	10.8092i	−1.53826	−	0.481481i
$505$	−13.3267			−0.593032
$506$		0			0
$507$	−0.784595	+	1.35896i	−0.0348451	+	0.0603534i
$508$	−50.9027	−	10.8197i	−2.25844	−	0.480047i
$509$	2.61224	−	24.8538i	0.115785	−	1.10163i	−0.770165	−	0.637845i	$-0.779826\pi$
$509$	2.61224	−	24.8538i	0.115785	−	1.10163i	0.885950	−	0.463780i	$-0.153507\pi$
$510$	−4.72556	+	3.43332i	−0.209251	+	0.152030i
$511$	−8.99540	+	20.8067i	−0.397933	+	0.920435i
$512$	−14.3930	+	44.2970i	−0.636086	+	1.95767i
$513$	24.7608	+	11.0242i	1.09322	+	0.486731i
$514$	−51.9719	+	23.1394i	−2.29238	+	1.02063i
$515$	2.29377	+	0.487556i	0.101076	+	0.0214843i
$516$	−7.90228	−	13.6872i	−0.347879	−	0.602544i
$517$		0			0
$518$	36.4450	+	3.43245i	1.60130	+	0.150813i
$519$	1.41829	+	4.36506i	0.0622562	+	0.191605i
$520$	−4.15810	+	39.5616i	−0.182345	+	1.73489i
$521$	−3.01702	−	28.7050i	−0.132178	−	1.25759i	−0.836603	−	0.547810i	$-0.815462\pi$
$521$	−3.01702	−	28.7050i	−0.132178	−	1.25759i	0.704425	−	0.709779i	$-0.251205\pi$
$522$	−6.84903	−	7.60662i	−0.299774	−	0.332933i
$523$	0.462264	−	0.0982572i	0.0202134	−	0.00429649i	−0.197794	−	0.980244i	$-0.563378\pi$
$523$	0.462264	−	0.0982572i	0.0202134	−	0.00429649i	0.218007	+	0.975947i	$0.430044\pi$
$524$	2.58187	−	1.87584i	0.112789	−	0.0819463i
$525$	−0.251563	+	0.0847563i	−0.0109791	+	0.00369907i
$526$	7.07477	+	21.7739i	0.308475	+	0.949387i
$527$	−1.75195	−	3.03447i	−0.0763162	−	0.132184i
$528$		0			0
$529$	−9.56566	+	16.5682i	−0.415898	+	0.720357i
$530$	1.11963	−	1.24347i	0.0486335	−	0.0540130i
$531$	−25.5092	−	18.5335i	−1.10701	−	0.804287i
$532$	−67.0562	−	37.7539i	−2.90725	−	1.63684i
$533$	11.4251	−	35.1629i	0.494876	−	1.52307i
$534$	5.57081	−	1.18411i	0.241073	−	0.0512415i
$535$	−1.45903	−	13.8818i	−0.0630794	−	0.600161i
$536$	−22.9385	+	10.2129i	−0.990792	+	0.441129i
$537$	1.71212	−	1.90150i	0.0738833	−	0.0820558i
$538$	−38.8904			−1.67668
$539$		0			0
$540$	36.3122			1.56263
$541$	−10.3445	+	11.4887i	−0.444743	+	0.493937i	−0.923279	−	0.384131i	$-0.874501\pi$
$541$	−10.3445	+	11.4887i	−0.444743	+	0.493937i	0.478536	+	0.878068i	$0.341168\pi$
$542$	−63.1331	+	28.1087i	−2.71180	+	1.20737i
$543$	0.910935	+	8.66696i	0.0390919	+	0.371935i
$544$	3.12162	−	0.663522i	0.133839	−	0.0284483i
$545$	1.91680	−	5.89931i	0.0821068	−	0.252699i
$546$	13.4665	+	7.58187i	0.576311	+	0.324474i
$547$	−28.3512	−	20.5984i	−1.21221	−	0.880722i	−0.216780	−	0.976220i	$-0.569556\pi$
$547$	−28.3512	−	20.5984i	−1.21221	−	0.880722i	−0.995430	+	0.0954983i	$0.969556\pi$
$548$	−16.4328	+	18.2504i	−0.701973	+	0.779620i
$549$	16.1679	−	28.0035i	0.690027	−	1.19516i
$550$		0			0
$551$	−5.70644	−	9.88384i	−0.243102	−	0.421066i
$552$	−7.85855	−	24.1861i	−0.334482	−	1.02943i
$553$	11.6124	−	3.91243i	0.493808	−	0.166373i
$554$	29.8492	−	21.6867i	1.26817	−	0.921379i
$555$	−8.54612	+	1.81653i	−0.362763	+	0.0771076i
$556$	15.6783	+	17.4125i	0.664907	+	0.738454i
$557$	1.10096	+	10.4749i	0.0466492	+	0.443838i	0.992771	+	0.120026i	$0.0382978\pi$
$557$	1.10096	+	10.4749i	0.0466492	+	0.443838i	−0.946122	+	0.323812i	$0.895036\pi$
$558$	−1.52422	+	14.5020i	−0.0645255	+	0.613919i
$559$	−5.35023	−	16.4663i	−0.226291	−	0.696451i
$560$	−30.5903	−	2.88104i	−1.29268	−	0.121746i
$561$		0			0
$562$	18.9588	+	32.8376i	0.799729	+	1.38517i
$563$	−30.0435	−	6.38595i	−1.26618	−	0.269136i	−0.474602	−	0.880200i	$-0.657408\pi$
$563$	−30.0435	−	6.38595i	−1.26618	−	0.269136i	−0.791581	+	0.611065i	$0.790742\pi$
$564$	−4.08592	+	1.81917i	−0.172048	+	0.0766007i
$565$	−25.6839	−	11.4352i	−1.08053	−	0.481083i
$566$	−16.7162	+	51.4472i	−0.702634	+	2.16249i
$567$	−4.91047	+	11.3581i	−0.206221	+	0.476996i
$568$	−50.3157	+	36.5565i	−2.11120	+	1.53388i
$569$	−3.21656	+	30.6035i	−0.134845	+	1.28297i	0.692560	+	0.721360i	$0.256483\pi$
$569$	−3.21656	+	30.6035i	−0.134845	+	1.28297i	−0.827405	+	0.561606i	$0.810184\pi$
$570$	26.5118	+	5.63525i	1.11046	+	0.236035i
$571$	−3.75847	+	6.50986i	−0.157287	+	0.272429i	−0.933889	−	0.357562i	$-0.883608\pi$
$571$	−3.75847	+	6.50986i	−0.157287	+	0.272429i	0.776602	+	0.629991i	$0.216941\pi$
$572$		0			0
$573$	−8.64045			−0.360960
$574$	70.7543	+	22.1464i	2.95323	+	0.924372i
$575$	0.738394	+	0.536475i	0.0307932	+	0.0223725i
$576$	11.8427	+	5.27271i	0.493446	+	0.219696i
$577$	18.4803	+	20.5245i	0.769347	+	0.854446i	0.992740	−	0.120282i	$-0.0383800\pi$
$577$	18.4803	+	20.5245i	0.769347	+	0.854446i	−0.223393	+	0.974728i	$0.571713\pi$
$578$	−24.6296	−	27.3539i	−1.02445	−	1.13777i
$579$	−7.78305	−	3.46524i	−0.323452	−	0.144010i
$580$	−12.3700	−	8.98735i	−0.513638	−	0.373179i
$581$	−3.76964	+	3.46875i	−0.156391	+	0.143908i
$582$	−3.30473			−0.136986
$583$		0			0
$584$	−23.5220	+	40.7413i	−0.973348	+	1.68589i
$585$	17.6512	+	3.75187i	0.729786	+	0.155121i
$586$	2.89724	−	27.5654i	0.119684	−	1.13872i
$587$	24.2367	−	17.6090i	1.00036	−	0.726801i	0.0381915	−	0.999270i	$-0.487840\pi$
$587$	24.2367	−	17.6090i	1.00036	−	0.726801i	0.962164	+	0.272469i	$0.0878403\pi$
$588$	−10.1042	+	18.4094i	−0.416690	+	0.759190i
$589$	−5.02427	+	15.4631i	−0.207022	+	0.637147i
$590$	−63.4981	−	28.2712i	−2.61417	−	1.16391i
$591$	7.92820	−	3.52986i	0.326122	−	0.145199i
$592$	28.6235	+	6.08411i	1.17642	+	0.250055i
$593$	6.33401	+	10.9708i	0.260107	+	0.450518i	0.966270	−	0.257531i	$-0.0829089\pi$
$593$	6.33401	+	10.9708i	0.260107	+	0.450518i	−0.706163	+	0.708049i	$0.749576\pi$
$594$		0			0
$595$	−3.62234	−	7.90471i	−0.148502	−	0.324062i
$596$	1.29923	+	3.99862i	0.0532186	+	0.163790i
$597$	0.142077	−	1.35177i	0.00581483	−	0.0553244i
$598$	−5.55412	−	52.8440i	−0.227125	−	2.16095i
$599$	0.866033	+	0.961827i	0.0353851	+	0.0392992i	0.760578	−	0.649247i	$-0.224916\pi$
$599$	0.866033	+	0.961827i	0.0353851	+	0.0392992i	−0.725192	+	0.688546i	$0.758249\pi$
$600$	−0.538878	+	0.114542i	−0.0219996	+	0.00467616i
$601$	−33.1875	+	24.1121i	−1.35375	+	0.983554i	−0.354931	+	0.934892i	$0.615496\pi$
$601$	−33.1875	+	24.1121i	−1.35375	+	0.983554i	−0.998815	+	0.0486619i	$0.984504\pi$
$602$	32.9012	−	11.0851i	1.34095	−	0.451793i
$603$	3.51987	+	10.8330i	0.143340	+	0.441155i
$604$	31.1990	+	54.0383i	1.26947	+	2.19879i
$605$		0			0
$606$	−5.37242	+	9.30531i	−0.218240	+	0.378002i
$607$	14.1701	−	15.7374i	0.575145	−	0.638763i	−0.383441	−	0.923565i	$-0.625261\pi$
$607$	14.1701	−	15.7374i	0.575145	−	0.638763i	0.958586	+	0.284802i	$0.0919278\pi$
$608$	−11.9804	−	8.70430i	−0.485871	−	0.353006i
$609$	−2.68021	+	1.58631i	−0.108608	+	0.0642807i
$610$	22.0270	−	67.7922i	0.891847	−	2.74482i
$611$	−4.79260	+	1.01870i	−0.193888	+	0.0412121i
$612$	−1.63202	−	15.5277i	−0.0659707	−	0.627669i
$613$	−6.17842	+	2.75081i	−0.249544	+	0.111104i	−0.527697	−	0.849433i	$-0.676944\pi$
$613$	−6.17842	+	2.75081i	−0.249544	+	0.111104i	0.278153	+	0.960537i	$0.410278\pi$
$614$	−41.6436	+	46.2499i	−1.68060	+	1.86649i
$615$	−17.6953			−0.713542
$616$		0			0
$617$	−41.0728			−1.65353			−0.826763	−	0.562550i	$-0.809820\pi$
$617$	−41.0728			−1.65353			−0.826763	+	0.562550i	$0.809820\pi$
$618$	1.26512	−	1.40506i	0.0508907	−	0.0565199i
$619$	−27.7962	+	12.3757i	−1.11722	+	0.497420i	−0.880447	−	0.474144i	$-0.842758\pi$
$619$	−27.7962	+	12.3757i	−1.11722	+	0.497420i	−0.236777	+	0.971564i	$0.576091\pi$
$620$	2.27690	+	21.6632i	0.0914424	+	0.870016i
$621$	−24.8751	+	5.28736i	−0.998203	+	0.212175i
$622$	26.7406	−	82.2992i	1.07220	−	3.29990i
$623$	0.0916890	+	8.47755i	0.00367344	+	0.339646i
$624$	9.99458	+	7.26149i	0.400104	+	0.290692i
$625$	−16.2446	+	18.0414i	−0.649784	+	0.721658i
$626$	−29.5285	+	51.1449i	−1.18020	+	2.04416i
$627$		0			0
$628$	−13.4342	−	23.2687i	−0.536082	−	0.928521i
$629$	2.55904	+	7.87592i	0.102036	+	0.314033i
$630$	−7.14024	+	35.4745i	−0.284474	+	1.41334i
$631$	−10.0051	+	7.26915i	−0.398298	+	0.289380i	−0.768847	−	0.639432i	$-0.779169\pi$
$631$	−10.0051	+	7.26915i	−0.398298	+	0.289380i	0.370549	+	0.928813i	$0.379169\pi$
$632$	24.8751	−	5.28736i	0.989478	−	0.210320i
$633$	−7.75602	−	8.61394i	−0.308274	−	0.342373i
$634$	−5.12322	−	48.7442i	−0.203469	−	1.93588i
$635$	−2.85206	+	27.1355i	−0.113180	+	1.07684i
$636$	−0.282505	−	0.869460i	−0.0112020	−	0.0344763i
$637$	−15.0201	+	17.4252i	−0.595120	+	0.690410i
$638$		0			0
$639$	14.1067	+	24.4335i	0.558052	+	0.966574i
$640$	37.1835	+	7.90360i	1.46981	+	0.312417i
$641$	−43.0566	+	19.1700i	−1.70063	+	0.757171i	−0.701630	+	0.712542i	$0.747544\pi$
$641$	−43.0566	+	19.1700i	−1.70063	+	0.757171i	−0.999004	+	0.0446288i	$0.985789\pi$
$642$	−10.2810	−	4.57741i	−0.405760	−	0.180656i
$643$	0.578611	−	1.78078i	0.0228182	−	0.0702272i	−0.938999	−	0.343920i	$-0.888245\pi$
$643$	0.578611	−	1.78078i	0.0228182	−	0.0702272i	0.961817	+	0.273693i	$0.0882451\pi$
$644$	71.7217	−	8.32342i	2.82623	−	0.327989i
$645$	−6.70389	+	4.87066i	−0.263965	+	0.191782i
$646$	2.68534	−	25.5493i	0.105653	−	1.00522i
$647$	1.79576	+	0.381701i	0.0705986	+	0.0150062i	0.243076	−	0.970007i	$-0.421844\pi$
$647$	1.79576	+	0.381701i	0.0705986	+	0.0150062i	−0.172477	+	0.985014i	$0.555177\pi$
$648$	−12.8404	+	22.2402i	−0.504417	+	0.873676i
$649$		0			0
$650$	−1.15108			−0.0451492
$651$	4.23433	+	1.32536i	0.165956	+	0.0519451i
$652$	−33.8279	−	24.5774i	−1.32480	−	0.962525i
$653$	−16.6057	−	7.39332i	−0.649830	−	0.289323i	0.0552269	−	0.998474i	$-0.482412\pi$
$653$	−16.6057	−	7.39332i	−0.649830	−	0.289323i	−0.705057	+	0.709151i	$0.749078\pi$
$654$	−3.34643	−	3.71659i	−0.130856	−	0.145330i
$655$	−1.11963	−	1.24347i	−0.0437475	−	0.0485865i
$656$	54.1428	+	24.1059i	2.11392	+	0.941179i
$657$	17.2652	+	12.5439i	0.673579	+	0.489384i
$658$	−2.14657	−	9.58774i	−0.0836820	−	0.373769i
$659$	16.8997			0.658318			0.329159	−	0.944275i	$-0.393235\pi$
$659$	16.8997			0.658318			0.329159	+	0.944275i	$0.393235\pi$
$660$		0			0
$661$	22.6516	−	39.2338i	0.881046	−	1.52602i	0.0308661	−	0.999524i	$-0.490173\pi$
$661$	22.6516	−	39.2338i	0.881046	−	1.52602i	0.850180	−	0.526493i	$-0.176493\pi$
$662$	68.6827	+	14.5990i	2.66943	+	0.567405i
$663$	−0.365442	+	3.47695i	−0.0141926	+	0.135033i
$664$	−8.60105	+	6.24903i	−0.333785	+	0.242509i
$665$	−16.0112	+	37.0346i	−0.620888	+	1.43614i
$666$	10.6497	−	32.7765i	0.412669	−	1.27006i
$667$	9.78252	+	4.35546i	0.378781	+	0.168644i
$668$	7.45693	−	3.32004i	0.288517	−	0.128456i
$669$	2.11934	+	0.450480i	0.0819385	+	0.0174166i
$670$	12.5547	+	21.7453i	0.485028	+	0.840094i
$671$		0			0
$672$	−2.33983	+	3.29485i	−0.0902609	+	0.127102i
$673$	−12.2085	−	37.5740i	−0.470604	−	1.44837i	−0.851795	−	0.523875i	$-0.824486\pi$
$673$	−12.2085	−	37.5740i	−0.470604	−	1.44837i	0.381191	−	0.924496i	$-0.375514\pi$
$674$	5.66193	−	53.8696i	0.218089	−	2.07498i
$675$	0.0575864	+	0.547898i	0.00221650	+	0.0210886i
$676$	−6.18690	−	6.87125i	−0.237958	−	0.264279i
$677$	−33.3880	+	7.09683i	−1.28320	+	0.272753i	−0.798537	−	0.601945i	$-0.794392\pi$
$677$	−33.3880	+	7.09683i	−1.28320	+	0.272753i	−0.484667	+	0.874699i	$0.661059\pi$
$678$	−18.3385	+	13.3237i	−0.704288	+	0.511695i
$679$	0.970715	−	4.82275i	0.0372526	−	0.185080i
$680$	−5.57637	−	17.1623i	−0.213844	−	0.658144i
$681$	−6.58206	−	11.4005i	−0.252225	−	0.436867i
$682$		0			0
$683$	−11.8931	+	20.5995i	−0.455079	+	0.788219i	−0.998693	−	0.0511160i	$-0.983722\pi$
$683$	−11.8931	+	20.5995i	−0.455079	+	0.788219i	0.543614	+	0.839335i	$0.317056\pi$
$684$	−48.4777	+	53.8399i	−1.85359	+	2.05862i
$685$	10.4170	+	7.56842i	0.398014	+	0.289174i
$686$	−35.2656	−	29.7396i	−1.34645	−	1.13546i
$687$	5.62259	−	17.3046i	0.214515	−	0.660210i
$688$	27.1473	−	5.77034i	1.03498	−	0.219992i
$689$	−0.104685	−	0.996013i	−0.00398819	−	0.0379451i
$690$	−23.2322	+	10.3436i	−0.884435	+	0.393776i
$691$	−13.7590	+	15.2809i	−0.523416	+	0.581312i	−0.945655	−	0.325172i	$-0.894578\pi$
$691$	−13.7590	+	15.2809i	−0.523416	+	0.581312i	0.422239	+	0.906485i	$0.361244\pi$
$692$	−27.0440			−1.02806
$693$		0			0
$694$	9.81761			0.372671
$695$	8.22024	−	9.12951i	0.311812	−	0.346302i
$696$	−5.90481	+	2.62899i	−0.223821	+	0.0996517i
$697$	1.75316	+	16.6802i	0.0664057	+	0.631808i
$698$	−34.3764	+	7.30692i	−1.30116	+	0.276571i
$699$	0.841764	−	2.59068i	0.0318385	−	0.0979887i
$700$	−0.0169162	−	1.56407i	−0.000639372	−	0.0591162i
$701$	−19.4089	−	14.1014i	−0.733063	−	0.532602i	0.157468	−	0.987524i	$-0.449667\pi$
$701$	−19.4089	−	14.1014i	−0.733063	−	0.532602i	−0.890531	+	0.454922i	$0.849667\pi$
$702$	21.4609	−	23.8347i	0.809988	−	0.899583i
$703$	19.2134	−	33.2785i	0.724646	−	1.25512i
$704$		0			0
$705$	1.17251	+	2.03084i	0.0441592	+	0.0764860i
$706$	−3.82450	−	11.7706i	−0.143937	−	0.442992i
$707$	−12.0016	−	10.5735i	−0.451367	−	0.397658i
$708$	−30.7234	+	22.3218i	−1.15465	+	0.838906i
$709$	50.5817	−	10.7515i	1.89963	−	0.403780i	0.900141	−	0.435598i	$-0.143463\pi$
$709$	50.5817	−	10.7515i	1.89963	−	0.403780i	0.999494	+	0.0318184i	$0.0101298\pi$
$710$	41.6156	+	46.2189i	1.56181	+	1.73456i
$711$	−1.20588	−	11.4732i	−0.0452240	−	0.430278i
$712$	−1.83917	+	17.4985i	−0.0689259	+	0.655786i
$713$	−4.71410	−	14.5085i	−0.176544	−	0.543348i
$714$	−6.97969	−	0.657359i	−0.261208	−	0.0246010i
$715$		0			0
$716$	7.53841	+	13.0569i	0.281724	+	0.487960i
$717$	−9.07590	−	1.92914i	−0.338946	−	0.0720451i
$718$	9.26498	−	4.12503i	0.345766	−	0.153945i
$719$	23.5559	+	10.4878i	0.878486	+	0.391127i	0.795880	−	0.605455i	$-0.207009\pi$
$719$	23.5559	+	10.4878i	0.878486	+	0.391127i	0.0826068	+	0.996582i	$0.473675\pi$
$720$	−8.93891	+	27.5111i	−0.333133	+	1.02528i
$721$	1.67886	+	2.25897i	0.0625240	+	0.0841284i
$722$	−58.1530	+	42.2506i	−2.16423	+	1.57241i
$723$	0.0336068	−	0.319747i	0.00124985	−	0.0118915i
$724$	−50.2278	−	10.6762i	−1.86670	−	0.396780i
$725$	0.115989	−	0.200899i	0.00430772	−	0.00746118i
$726$		0			0
$727$	32.7330			1.21400			0.606999	−	0.794702i	$-0.292373\pi$
$727$	32.7330			1.21400			0.606999	+	0.794702i	$0.292373\pi$
$728$	−35.1331	+	32.3288i	−1.30212	+	1.19818i
$729$	2.63979	+	1.91792i	0.0977698	+	0.0710340i
$730$	42.9768	+	19.1345i	1.59064	+	0.708201i
$731$	5.25545	+	5.83677i	0.194380	+	0.215881i
$732$	−26.0594	−	28.9419i	−0.963184	−	1.06972i
$733$	8.48019	+	3.77563i	0.313223	+	0.139456i	0.557327	−	0.830293i	$-0.311827\pi$
$733$	8.48019	+	3.77563i	0.313223	+	0.139456i	−0.244104	+	0.969749i	$0.578494\pi$
$734$	36.3171	+	26.3859i	1.34049	+	0.973921i
$735$	10.1531	+	4.25976i	0.374502	+	0.157124i
$736$	13.8944			0.512156
$737$		0			0
$738$	34.8995	−	60.4477i	1.28467	−	2.22511i
$739$	−48.9986	−	10.4150i	−1.80244	−	0.383121i	−0.820402	−	0.571788i	$-0.806250\pi$
$739$	−48.9986	−	10.4150i	−1.80244	−	0.383121i	−0.982041	+	0.188667i	$0.939583\pi$
$740$	5.38129	−	51.1995i	0.197820	−	1.88213i
$741$	13.1244	−	9.53545i	0.482138	−	0.350293i
$742$	1.99488	−	0.231509i	0.0732342	−	0.00849895i
$743$	−4.06909	+	12.5234i	−0.149280	+	0.459438i	−0.997537	−	0.0701482i	$-0.977653\pi$
$743$	−4.06909	+	12.5234i	−0.149280	+	0.459438i	0.848256	+	0.529586i	$0.177653\pi$
$744$	8.41205	+	3.74529i	0.308401	+	0.137309i
$745$	2.01382	−	0.896611i	0.0737807	−	0.0328493i
$746$	70.4529	+	14.9752i	2.57947	+	0.548282i
$747$	2.41142	+	4.17670i	0.0882293	+	0.152818i
$748$		0			0
$749$	9.69992	−	13.6590i	0.354427	−	0.499090i
$750$	6.22379	+	19.1549i	0.227261	+	0.699437i
$751$	−4.31846	+	41.0874i	−0.157583	+	1.49930i	0.574737	+	0.818339i	$0.305105\pi$
$751$	−4.31846	+	41.0874i	−0.157583	+	1.49930i	−0.732319	+	0.680961i	$0.761562\pi$
$752$	−0.820982	−	7.81113i	−0.0299381	−	0.284842i
$753$	−0.534079	−	0.593154i	−0.0194629	−	0.0216157i
$754$	−13.2099	+	2.80786i	−0.481078	+	0.102256i
$755$	26.4676	−	19.2298i	0.963255	−	0.699846i
$756$	32.7015	+	28.8103i	1.18934	+	1.04782i
$757$	−14.0638	−	43.2839i	−0.511157	−	1.57318i	−0.790167	−	0.612891i	$-0.790006\pi$
$757$	−14.0638	−	43.2839i	−0.511157	−	1.57318i	0.279010	−	0.960288i	$-0.409994\pi$
$758$	−5.36591	−	9.29402i	−0.194898	−	0.337574i
$759$		0			0
$760$	−41.8676	+	72.5168i	−1.51870	+	2.63046i
$761$	−20.9250	+	23.2396i	−0.758531	+	0.842434i	−0.991508	−	0.130049i	$-0.958487\pi$
$761$	−20.9250	+	23.2396i	−0.758531	+	0.842434i	0.232977	+	0.972482i	$0.425153\pi$
$762$	17.7974	+	12.9306i	0.644733	+	0.468426i
$763$	6.40675	−	3.79191i	0.231940	−	0.137276i
$764$	15.7328	−	48.4205i	0.569192	−	1.75179i
$765$	−8.00724	+	1.70199i	−0.289502	+	0.0615356i
$766$	3.21520	+	30.5906i	0.116170	+	1.10528i
$767$	−38.0057	+	16.9212i	−1.37231	+	0.610990i
$768$	15.5388	−	17.2576i	0.560707	−	0.622729i
$769$	−42.0467			−1.51624			−0.758121	−	0.652114i	$-0.773882\pi$
$769$	−42.0467			−1.51624			−0.758121	+	0.652114i	$0.773882\pi$
$770$		0			0
$771$	16.2969			0.586920
$772$	33.5906	−	37.3061i	1.20895	−	1.34268i
$773$	6.98361	−	3.10930i	0.251183	−	0.111834i	−0.277283	−	0.960788i	$-0.589434\pi$
$773$	6.98361	−	3.10930i	0.251183	−	0.111834i	0.528466	+	0.848954i	$0.322767\pi$
$774$	−3.41661	−	32.5069i	−0.122808	−	1.16844i
$775$	−0.323256	+	0.0687102i	−0.0116117	+	0.00246814i
$776$	3.15495	−	9.70994i	0.113256	−	0.348567i
$777$	−9.13759	−	5.14464i	−0.327809	−	0.184563i
$778$	−59.2918	−	43.0780i	−2.12571	−	1.54442i
$779$	52.0759	−	57.8362i	1.86581	−	2.07220i
$780$	10.8670	−	18.8222i	0.389102	−	0.673944i
$781$		0			0
$782$	12.0520	+	20.8747i	0.430980	+	0.746479i
$783$	1.99737	+	6.14727i	0.0713801	+	0.219685i
$784$	−25.2627	−	26.8651i	−0.902240	−	0.959467i
$785$	−11.3969	+	8.28030i	−0.406771	+	0.295537i
$786$	−1.31960	+	0.280490i	−0.0470687	+	0.0100048i
$787$	18.6710	+	20.7363i	0.665550	+	0.739168i	0.977501	−	0.210930i	$-0.0676492\pi$
$787$	18.6710	+	20.7363i	0.665550	+	0.739168i	−0.311951	+	0.950098i	$0.600983\pi$
$788$	5.34522	+	50.8564i	0.190416	+	1.81168i
$789$	0.685538	−	6.52246i	0.0244058	−	0.232206i
$790$	−7.85855	−	24.1861i	−0.279595	−	0.860504i
$791$	−14.0573	−	30.6759i	−0.499819	−	1.09071i
$792$		0			0
$793$	−21.3320	−	36.9481i	−0.757521	−	1.31206i
$794$	42.1491	+	8.95906i	1.49581	+	0.317945i
$795$	−0.437885	+	0.194959i	−0.0155302	+	0.00691448i
$796$	7.31656	+	3.25754i	0.259329	+	0.115460i
$797$	3.10747	−	9.56381i	0.110072	−	0.338767i	−0.880815	−	0.473460i	$-0.843005\pi$
$797$	3.10747	−	9.56381i	0.110072	−	0.338767i	0.990887	+	0.134693i	$0.0430047\pi$
$798$	19.4045	+	26.1095i	0.686913	+	0.924267i
$799$	1.79818	−	1.30646i	0.0636151	−	0.0462191i
$800$	0.0314631	−	0.299351i	0.00111239	−	0.0105837i
$801$	7.80731	+	1.65949i	0.275858	+	0.0586354i
$802$	31.0740	−	53.8218i	1.09726	−	1.90051i
$803$		0			0
$804$	13.7188			0.483824
$805$	−8.27085	−	36.9421i	−0.291509	−	1.30204i
$806$	15.5650	+	11.3087i	0.548255	+	0.398331i
$807$	10.1775	+	4.53130i	0.358263	+	0.159509i
$808$	−22.2119	−	24.6688i	−0.781410	−	0.867844i
$809$	−25.8101	−	28.6650i	−0.907435	−	1.00781i	−0.999927	−	0.0120950i	$-0.996150\pi$
$809$	−25.8101	−	28.6650i	−0.907435	−	1.00781i	0.0924920	−	0.995713i	$-0.470517\pi$
$810$	23.4605	+	10.4453i	0.824318	+	0.367010i
$811$	10.0124	+	7.27443i	0.351583	+	0.255440i	0.749533	−	0.661967i	$-0.230278\pi$
$811$	10.0124	+	7.27443i	0.351583	+	0.255440i	−0.397950	+	0.917407i	$0.630278\pi$
$812$	−4.00940	−	17.9082i	−0.140702	−	0.628453i
$813$	19.7968			0.694303
$814$		0			0
$815$	−10.9616	+	18.9860i	−0.383968	+	0.665051i
$816$	−5.48177	−	1.16519i	−0.191900	−	0.0407897i
$817$	3.80954	−	36.2454i	0.133279	−	1.26806i
$818$	−77.7010	+	56.4531i	−2.71675	+	1.97383i
$819$	12.9193	+	17.3834i	0.451436	+	0.607424i
$820$	32.2201	−	99.1632i	1.12517	−	3.46293i
$821$	−27.1671	−	12.0956i	−0.948139	−	0.422139i	−0.126385	−	0.991981i	$-0.540338\pi$
$821$	−27.1671	−	12.0956i	−0.948139	−	0.422139i	−0.821754	+	0.569843i	$0.807004\pi$
$822$	9.48403	−	4.22256i	0.330793	−	0.147279i
$823$	−39.8859	−	8.47801i	−1.39034	−	0.295525i	−0.548903	−	0.835886i	$-0.684954\pi$
$823$	−39.8859	−	8.47801i	−1.39034	−	0.295525i	−0.841433	+	0.540361i	$0.818288\pi$
$824$	2.92056	+	5.05855i	0.101742	+	0.176223i
$825$		0			0
$826$	−34.7537	−	75.8398i	−1.20923	−	2.63880i
$827$	5.82222	+	17.9190i	0.202459	+	0.623103i	0.999808	+	0.0195857i	$0.00623473\pi$
$827$	5.82222	+	17.9190i	0.202459	+	0.623103i	−0.797350	+	0.603518i	$0.793765\pi$
$828$	7.10544	−	67.6038i	0.246931	−	2.34939i
$829$	3.25508	+	30.9700i	0.113054	+	1.07563i	0.893083	+	0.449891i	$0.148537\pi$
$829$	3.25508	+	30.9700i	0.113054	+	1.07563i	−0.780030	+	0.625742i	$0.784796\pi$
$830$	7.11385	+	7.90073i	0.246925	+	0.274238i
$831$	−10.3382	+	2.19746i	−0.358629	+	0.0762290i
$832$	13.8375	−	10.0535i	0.479728	−	0.348543i
$833$	3.00949	−	9.99270i	0.104273	−	0.346226i
$834$	−3.06078	−	9.42012i	−0.105986	−	0.326192i
$835$	−2.13986	−	3.70635i	−0.0740530	−	0.128264i
$836$		0			0
$837$	4.60407	−	7.97448i	0.159140	−	0.275638i
$838$	1.51499	−	1.68257i	0.0523345	−	0.0581234i
$839$	−8.29961	−	6.03002i	−0.286534	−	0.208179i	0.435228	−	0.900320i	$-0.356668\pi$
$839$	−8.29961	−	6.03002i	−0.286534	−	0.208179i	−0.721763	+	0.692141i	$0.756668\pi$
$840$	19.9116	+	11.2106i	0.687015	+	0.386803i
$841$	−8.12045	+	24.9922i	−0.280015	+	0.861799i
$842$	−37.8942	+	8.05466i	−1.30592	+	0.277582i
$843$	−1.13538	−	10.8025i	−0.0391047	−	0.372056i
$844$	62.3944	−	27.7798i	2.14770	−	0.956219i
$845$	−3.24384	+	3.60265i	−0.111592	+	0.123935i
$846$	−9.24992			−0.318019
$847$		0			0
$848$	1.60540			0.0551297
$849$	10.3689	−	11.5158i	0.355860	−	0.395223i
$850$	0.477030	−	0.212388i	0.0163620	−	0.00728483i
$851$	3.76872	+	35.8570i	0.129190	+	1.22916i
$852$	33.2377	−	7.06489i	1.13870	−	0.242039i
$853$	−0.940756	+	2.89535i	−0.0322109	+	0.0991348i	−0.965869	−	0.259030i	$-0.916597\pi$
$853$	−0.940756	+	2.89535i	−0.0322109	+	0.0991348i	0.933659	+	0.358164i	$0.116597\pi$
$854$	73.6235	−	43.5749i	2.51934	−	1.49110i
$855$	30.7309	+	22.3273i	1.05097	+	0.763577i
$856$	23.2643	−	25.8377i	0.795159	−	0.883114i
$857$	24.7766	−	42.9143i	0.846352	−	1.46592i	−0.0380904	−	0.999274i	$-0.512127\pi$
$857$	24.7766	−	42.9143i	0.846352	−	1.46592i	0.884442	−	0.466650i	$-0.154539\pi$
$858$		0			0
$859$	−18.4373	−	31.9344i	−0.629074	−	1.08959i	−0.987738	−	0.156121i	$-0.950101\pi$
$859$	−18.4373	−	31.9344i	−0.629074	−	1.08959i	0.358664	−	0.933467i	$-0.383232\pi$
$860$	−15.0882	−	46.4368i	−0.514505	−	1.58348i
$861$	−15.9357	−	14.0395i	−0.543089	−	0.478466i
$862$	7.12634	−	5.17759i	0.242724	−	0.176349i
$863$	45.4086	−	9.65189i	1.54573	−	0.328554i	0.645425	−	0.763824i	$-0.276680\pi$
$863$	45.4086	−	9.65189i	1.54573	−	0.328554i	0.900300	+	0.435270i	$0.143347\pi$
$864$	5.61186	+	6.23260i	0.190919	+	0.212037i
$865$	1.48215	+	14.1017i	0.0503946	+	0.479473i
$866$	−4.59434	+	43.7122i	−0.156122	+	1.48540i
$867$	3.25833	+	10.0281i	0.110659	+	0.340573i
$868$	−15.1372	+	21.3157i	−0.513792	+	0.723501i
$869$		0			0
$870$	3.23181	+	5.59766i	0.109569	+	0.189778i
$871$	14.7003	+	3.12465i	0.498102	+	0.105875i
$872$	14.1148	−	6.28432i	0.477988	−	0.212814i
$873$	−4.23107	−	1.88379i	−0.143200	−	0.0637567i
$874$	34.5630	−	106.374i	1.16911	−	3.59815i
$875$	−29.7817	+	3.45622i	−1.00681	+	0.116841i
$876$	20.7942	−	15.1079i	0.702572	−	0.510448i
$877$	4.07985	−	38.8172i	0.137767	−	1.31076i	−0.679147	−	0.734002i	$-0.737650\pi$
$877$	4.07985	−	38.8172i	0.137767	−	1.31076i	0.816914	−	0.576760i	$-0.195683\pi$
$878$	36.6129	+	7.78230i	1.23562	+	0.262640i
$879$	−3.96997	+	6.87620i	−0.133904	+	0.231928i
$880$		0			0
$881$	−44.0049			−1.48256			−0.741281	−	0.671194i	$-0.765782\pi$
$881$	−44.0049			−1.48256			−0.741281	+	0.671194i	$0.765782\pi$
$882$	−34.5759	+	26.2820i	−1.16423	+	0.884960i
$883$	18.8983	+	13.7304i	0.635978	+	0.462065i	0.858466	−	0.512871i	$-0.171418\pi$
$883$	18.8983	+	13.7304i	0.635978	+	0.462065i	−0.222488	+	0.974935i	$0.571418\pi$
$884$	−18.8192	−	8.37884i	−0.632958	−	0.281811i
$885$	13.3232	+	14.7969i	0.447854	+	0.497393i
$886$	22.0384	+	24.4761i	0.740395	+	0.822292i
$887$	−38.2936	−	17.0494i	−1.28577	−	0.572464i	−0.353913	−	0.935278i	$-0.615149\pi$
$887$	−38.2936	−	17.0494i	−1.28577	−	0.572464i	−0.931861	+	0.362815i	$0.881816\pi$
$888$	−17.6065	−	12.7918i	−0.590834	−	0.429266i
$889$	−24.0979	+	22.1744i	−0.808219	+	0.743707i
$890$	17.5949			0.589783
$891$		0			0
$892$	−6.38343	+	11.0564i	−0.213733	+	0.370196i
$893$	−10.0883	−	2.14434i	−0.337593	−	0.0717576i
$894$	0.185781	−	1.76759i	0.00621345	−	0.0591170i
$895$	6.39520	−	4.64638i	0.213768	−	0.155311i
$896$	27.2154	+	36.6193i	0.909203	+	1.22337i
$897$	−4.70360	+	14.4762i	−0.157049	+	0.483346i
$898$	−22.5473	−	10.0387i	−0.752412	−	0.334995i
$899$	−3.54211	+	1.57705i	−0.118136	+	0.0525976i
$900$	−1.44041	−	0.306169i	−0.0480137	−	0.0102056i
$901$	0.227159	+	0.393451i	0.00756776	+	0.0131078i
$902$		0			0
$903$	−9.90170	−	0.932559i	−0.329508	−	0.0310336i
$904$	−21.6403	−	66.6020i	−0.719746	−	2.21515i
$905$	−2.81424	+	26.7757i	−0.0935484	+	0.890054i
$906$	−2.75720	−	26.2330i	−0.0916018	−	0.871533i
$907$	−13.7293	−	15.2479i	−0.455874	−	0.506299i	0.470762	−	0.882260i	$-0.343979\pi$
$907$	−13.7293	−	15.2479i	−0.455874	−	0.506299i	−0.926635	+	0.375961i	$0.877313\pi$
$908$	75.8723	−	16.1272i	2.51791	−	0.535199i
$909$	−12.1826	+	8.85120i	−0.404072	+	0.293576i
$910$	35.8241	+	31.5613i	1.18756	+	1.04625i
$911$	8.55220	+	26.3210i	0.283347	+	0.872052i	0.986889	+	0.161399i	$0.0516006\pi$
$911$	8.55220	+	26.3210i	0.283347	+	0.872052i	−0.703542	+	0.710653i	$0.748399\pi$
$912$	13.0025	+	22.5209i	0.430554	+	0.745742i
$913$		0			0
$914$	12.8840	−	22.3158i	0.426165	−	0.738140i
$915$	−13.6632	+	15.1745i	−0.451690	+	0.501653i
$916$	86.7360	+	63.0174i	2.86584	+	2.08215i
$917$	−0.0217191	−	2.00815i	−0.000717229	−	0.0663149i
$918$	−4.49602	+	13.8373i	−0.148391	+	0.456700i
$919$	0.942401	−	0.200313i	0.0310869	−	0.00660773i	−0.192342	−	0.981328i	$-0.561608\pi$
$919$	0.942401	−	0.200313i	0.0310869	−	0.00660773i	0.223429	+	0.974720i	$0.428275\pi$
$920$	−8.21237	−	78.1355i	−0.270754	−	2.57605i
$921$	16.2868	−	7.25133i	0.536667	−	0.238939i
$922$	25.5627	−	28.3903i	0.841864	−	0.934984i
$923$	37.2249			1.22527
$924$		0			0
$925$	0.781061			0.0256811
$926$	−41.8867	+	46.5199i	−1.37648	+	1.52874i
$927$	2.42067	−	1.07775i	0.0795051	−	0.0353980i
$928$	−0.369140	−	3.51213i	−0.0121176	−	0.115291i
$929$	−25.7566	+	5.47473i	−0.845045	+	0.179620i	−0.610037	−	0.792373i	$-0.708845\pi$
$929$	−25.7566	+	5.47473i	−0.845045	+	0.179620i	−0.235009	+	0.971993i	$0.575512\pi$
$930$	2.84547	−	8.75746i	0.0933067	−	0.287168i
$931$	−43.8026	+	20.6487i	−1.43557	+	0.676733i
$932$	12.9853	+	9.43439i	0.425349	+	0.309034i
$933$	−16.5870	+	18.4217i	−0.543034	+	0.603100i
$934$	0.929110	−	1.60927i	0.0304014	−	0.0526568i
$935$		0			0
$936$	22.4745	+	38.9269i	0.734601	+	1.27237i
$937$	6.60878	+	20.3397i	0.215899	+	0.664470i	0.999089	+	0.0426865i	$0.0135917\pi$
$937$	6.60878	+	20.3397i	0.215899	+	0.664470i	−0.783189	+	0.621784i	$0.786408\pi$
$938$	−5.94657	+	29.5440i	−0.194162	+	0.964646i
$939$	13.6866	−	9.94392i	0.446646	−	0.324508i
$940$	−13.5157	+	2.87284i	−0.440832	+	0.0937018i
$941$	−9.91842	−	11.0155i	−0.323331	−	0.359096i	0.559463	−	0.828855i	$-0.311007\pi$
$941$	−9.91842	−	11.0155i	−0.323331	−	0.359096i	−0.882794	+	0.469760i	$0.844341\pi$
$942$	1.18724	+	11.2958i	0.0386824	+	0.368038i
$943$	−7.63284	+	72.6217i	−0.248560	+	2.36489i
$944$	−20.6079	−	63.4246i	−0.670730	−	2.06429i
$945$	13.2305	−	18.6307i	0.430389	−	0.606056i
$946$		0			0
$947$	−15.8560	−	27.4634i	−0.515251	−	0.892442i	−0.999843	−	0.0177013i	$-0.994365\pi$
$947$	−15.8560	−	27.4634i	−0.515251	−	0.892442i	0.484592	−	0.874740i	$-0.338968\pi$
$948$	−13.5908	−	2.88881i	−0.441409	−	0.0938243i
$949$	25.7231	−	11.4526i	0.835006	−	0.371768i
$950$	−2.21353	−	0.985526i	−0.0718163	−	0.0319747i
$951$	−4.33869	+	13.3531i	−0.140692	+	0.433004i
$952$	8.59479	−	19.8801i	0.278559	−	0.644318i
$953$	40.4201	−	29.3669i	1.30933	−	0.951287i	0.309335	−	0.950953i	$-0.399894\pi$
$953$	40.4201	−	29.3669i	1.30933	−	0.951287i	1.00000		0.000333943i	$-0.000106297\pi$
$954$	0.197632	−	1.88034i	0.00639856	−	0.0608783i
$955$	−26.1104	−	5.54995i	−0.844914	−	0.179592i
$956$	27.3365	−	47.3481i	0.884124	−	1.53135i
$957$		0			0
$958$	50.0988			1.61862
$959$	3.37639	+	15.0808i	0.109029	+	0.486984i
$960$	−6.62272	−	4.81169i	−0.213747	−	0.155296i
$961$	−23.2738	−	10.3622i	−0.750767	−	0.334263i
$962$	−30.4261	−	33.7916i	−0.980977	−	1.08949i
$963$	−10.5536	−	11.7209i	−0.340085	−	0.377702i
$964$	1.73065	+	0.770535i	0.0557405	+	0.0248173i
$965$	−21.2937	−	15.4708i	−0.685468	−	0.498022i
$966$	−29.1288	−	9.11745i	−0.937205	−	0.293349i
$967$	52.4581			1.68694			0.843469	−	0.537178i	$-0.180510\pi$
$967$	52.4581			1.68694			0.843469	+	0.537178i	$0.180510\pi$
$968$		0			0
$969$	−3.67961	+	6.37327i	−0.118206	+	0.204739i
$970$	−9.98653	−	2.12270i	−0.320648	−	0.0681559i
$971$	−3.22225	+	30.6577i	−0.103407	+	0.983853i	0.812636	+	0.582772i	$0.198032\pi$
$971$	−3.22225	+	30.6577i	−0.103407	+	0.983853i	−0.916043	+	0.401081i	$0.868635\pi$
$972$	51.3311	−	37.2942i	1.64645	−	1.19621i
$973$	14.6463	−	1.69972i	0.469538	−	0.0544907i
$974$	−3.27124	+	10.0678i	−0.104817	+	0.322595i
$975$	0.301234	+	0.134118i	0.00964720	+	0.00429521i
$976$	62.4776	−	27.8168i	1.99986	−	0.890394i
$977$	−24.1950	−	5.14281i	−0.774067	−	0.164533i	−0.196090	−	0.980586i	$-0.562824\pi$
$977$	−24.1950	−	5.14281i	−0.774067	−	0.164533i	−0.577977	+	0.816053i	$0.696158\pi$
$978$	8.83791	+	15.3077i	0.282605	+	0.489487i
$979$		0			0
$980$	−42.3585	+	49.1409i	−1.35309	+	1.56975i
$981$	−2.16589	−	6.66593i	−0.0691516	−	0.212827i
$982$	7.89636	−	75.1289i	0.251983	−	2.39746i
$983$	−1.27774	−	12.1569i	−0.0407536	−	0.387744i	−0.995819	−	0.0913490i	$-0.970882\pi$
$983$	−1.27774	−	12.1569i	−0.0407536	−	0.387744i	0.955065	−	0.296395i	$-0.0957845\pi$
$984$	−29.4929	−	32.7552i	−0.940200	−	1.04420i
$985$	26.2254	−	5.57438i	0.835611	−	0.177615i
$986$	4.95637	−	3.60101i	0.157843	−	0.114680i
$987$	−0.555363	+	2.75918i	−0.0176774	+	0.0878257i
$988$	29.5387	+	90.9109i	0.939752	+	2.89226i
$989$	17.0975	+	29.6138i	0.543670	+	0.941665i
$990$		0			0
$991$	−2.30008	+	3.98386i	−0.0730645	+	0.126552i	−0.900243	−	0.435388i	$-0.856611\pi$
$991$	−2.30008	+	3.98386i	−0.0730645	+	0.126552i	0.827178	+	0.561939i	$0.189945\pi$
$992$	−3.36638	+	3.73874i	−0.106883	+	0.118705i
$993$	−16.2730	−	11.8230i	−0.516408	−	0.375192i
$994$	0.807282	+	74.6412i	0.0256054	+	2.36748i
$995$	1.29761	−	3.99365i	0.0411371	−	0.126607i
$996$	5.68170	−	1.20768i	0.180032	−	0.0382669i
$997$	−3.60376	−	34.2875i	−0.114132	−	1.08589i	−0.890302	−	0.455371i	$-0.849507\pi$
$997$	−3.60376	−	34.2875i	−0.114132	−	1.08589i	0.776170	−	0.630524i	$-0.217160\pi$
$998$	32.8614	−	14.6308i	1.04021	−	0.463131i
$999$	−14.5621	+	16.1729i	−0.460726	+	0.511688i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	847.2.n.d.753.3		24
7.2	even	3	inner	847.2.n.d.632.1		24
11.2	odd	10		847.2.n.e.130.3		24
11.3	even	5		847.2.e.d.606.1		6
11.4	even	5	inner	847.2.n.d.487.3		24
11.5	even	5	inner	847.2.n.d.81.1		24
11.6	odd	10		847.2.n.e.81.3		24
11.7	odd	10		847.2.n.e.487.1		24
11.8	odd	10		77.2.e.b.67.3	yes	6
11.9	even	5	inner	847.2.n.d.130.1		24
11.10	odd	2		847.2.n.e.753.1		24
33.8	even	10		693.2.i.g.298.1		6
44.19	even	10		1232.2.q.k.529.2		6
77.2	odd	30		847.2.n.e.9.1		24
77.3	odd	30		5929.2.a.w.1.3		3
77.9	even	15	inner	847.2.n.d.9.3		24
77.16	even	15	inner	847.2.n.d.807.3		24
77.19	even	30		539.2.e.l.177.3		6
77.25	even	15		5929.2.a.v.1.3		3
77.30	odd	30		77.2.e.b.23.3	✓	6
77.37	even	15	inner	847.2.n.d.366.1		24
77.41	even	10		539.2.e.l.67.3		6
77.51	odd	30		847.2.n.e.366.3		24
77.52	even	30		539.2.a.i.1.1		3
77.58	even	15		847.2.e.d.485.1		6
77.65	odd	6		847.2.n.e.632.3		24
77.72	odd	30		847.2.n.e.807.1		24
77.74	odd	30		539.2.a.h.1.1		3
231.74	even	30		4851.2.a.bo.1.3		3
231.107	even	30		693.2.i.g.100.1		6
231.206	odd	30		4851.2.a.bn.1.3		3
308.107	even	30		1232.2.q.k.177.2		6
308.151	even	30		8624.2.a.cl.1.2		3
308.283	odd	30		8624.2.a.ck.1.2		3

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
77.2.e.b.23.3	✓	6	77.30	odd	30
77.2.e.b.67.3	yes	6	11.8	odd	10
539.2.a.h.1.1		3	77.74	odd	30
539.2.a.i.1.1		3	77.52	even	30
539.2.e.l.67.3		6	77.41	even	10
539.2.e.l.177.3		6	77.19	even	30
693.2.i.g.100.1		6	231.107	even	30
693.2.i.g.298.1		6	33.8	even	10
847.2.e.d.485.1		6	77.58	even	15
847.2.e.d.606.1		6	11.3	even	5
847.2.n.d.9.3		24	77.9	even	15	inner
847.2.n.d.81.1		24	11.5	even	5	inner
847.2.n.d.130.1		24	11.9	even	5	inner
847.2.n.d.366.1		24	77.37	even	15	inner
847.2.n.d.487.3		24	11.4	even	5	inner
847.2.n.d.632.1		24	7.2	even	3	inner
847.2.n.d.753.3		24	1.1	even	1	trivial
847.2.n.d.807.3		24	77.16	even	15	inner
847.2.n.e.9.1		24	77.2	odd	30
847.2.n.e.81.3		24	11.6	odd	10
847.2.n.e.130.3		24	11.2	odd	10
847.2.n.e.366.3		24	77.51	odd	30
847.2.n.e.487.1		24	11.7	odd	10
847.2.n.e.632.3		24	77.65	odd	6
847.2.n.e.753.1		24	11.10	odd	2
847.2.n.e.807.1		24	77.72	odd	30
1232.2.q.k.177.2		6	308.107	even	30
1232.2.q.k.529.2		6	44.19	even	10
4851.2.a.bn.1.3		3	231.206	odd	30
4851.2.a.bo.1.3		3	231.74	even	30
5929.2.a.v.1.3		3	77.25	even	15
5929.2.a.w.1.3		3	77.3	odd	30
8624.2.a.ck.1.2		3	308.283	odd	30
8624.2.a.cl.1.2		3	308.151	even	30

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:	\( N \)	\(=\)	\( 847 = 7 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	847.n (of order \(15\), degree \(8\), not minimal)

\(f(q)\)	\(=\)	\(q+(1.66671 - 1.85107i) q^{2} +(-0.651849 + 0.290222i) q^{3} +(-0.439480 - 4.18137i) q^{4} +(-2.15623 + 0.458321i) q^{5} +(-0.549224 + 1.69034i) q^{6} +(-2.30546 - 1.29802i) q^{7} +(-4.44220 - 3.22745i) q^{8} +(-1.66671 + 1.85107i) q^{9} +O(q^{10})\)	\(q+(1.66671 - 1.85107i) q^{2} +(-0.651849 + 0.290222i) q^{3} +(-0.439480 - 4.18137i) q^{4} +(-2.15623 + 0.458321i) q^{5} +(-0.549224 + 1.69034i) q^{6} +(-2.30546 - 1.29802i) q^{7} +(-4.44220 - 3.22745i) q^{8} +(-1.66671 + 1.85107i) q^{9} +(-2.74543 + 4.75523i) q^{10} +(1.50000 + 2.59808i) q^{12} +(1.01557 + 3.12561i) q^{13} +(-6.24527 + 2.10415i) q^{14} +(1.27252 - 0.924542i) q^{15} +(-5.15307 + 1.09532i) q^{16} +(-0.997582 - 1.10793i) q^{17} +(0.648537 + 6.17041i) q^{18} +(-0.723122 + 6.88004i) q^{19} +(2.86403 + 8.81457i) q^{20} +(1.87953 + 0.177017i) q^{21} +(-3.24543 - 5.62125i) q^{23} +(3.83232 + 0.814585i) q^{24} +(-0.128457 + 0.0571928i) q^{25} +(7.47840 + 3.32960i) q^{26} +(1.21071 - 3.72618i) q^{27} +(-4.41429 + 10.2104i) q^{28} +(-1.33468 + 0.969699i) q^{29} +(0.409536 - 3.89648i) q^{30} +(2.29889 + 0.488644i) q^{31} +(-1.07031 + 1.85383i) q^{32} -3.71354 q^{34} +(5.56601 + 1.74219i) q^{35} +(8.47250 + 6.15563i) q^{36} +(-5.07443 - 2.25928i) q^{37} +(11.5302 + 12.8056i) q^{38} +(-1.56912 - 1.74269i) q^{39} +(11.0576 + 4.92317i) q^{40} +(-9.10137 - 6.61254i) q^{41} +(3.46030 - 3.18410i) q^{42} -5.26819 q^{43} +(2.74543 - 4.75523i) q^{45} +(-15.8145 - 3.36149i) q^{46} +(-0.155838 + 1.48270i) q^{47} +(3.04114 - 2.20952i) q^{48} +(3.63030 + 5.98506i) q^{49} +(-0.108233 + 0.333107i) q^{50} +(0.971818 + 0.432681i) q^{51} +(12.6230 - 5.62013i) q^{52} +(-0.298076 - 0.0633579i) q^{53} +(-4.87953 - 8.45159i) q^{54} +(6.05203 + 13.2068i) q^{56} +(-1.52537 - 4.69462i) q^{57} +(-0.429539 + 4.08679i) q^{58} +(1.32320 + 12.5894i) q^{59} +(-4.42510 - 4.91457i) q^{60} +(-12.6980 + 2.69905i) q^{61} +(4.73611 - 3.44098i) q^{62} +(6.24527 - 2.10415i) q^{63} +(-1.60825 - 4.94968i) q^{64} +(-3.62234 - 6.27408i) q^{65} +(2.28646 - 3.96027i) q^{67} +(-4.19424 + 4.65817i) q^{68} +(3.74694 + 2.72231i) q^{69} +(12.5019 - 7.39937i) q^{70} +(3.50016 - 10.7724i) q^{71} +(13.3781 - 2.84361i) q^{72} +(-0.895567 - 8.52075i) q^{73} +(-12.6397 + 5.62756i) q^{74} +(0.0671361 - 0.0745622i) q^{75} +29.0858 q^{76} -5.84111 q^{78} +(-3.09906 + 3.44186i) q^{79} +(10.6092 - 4.72352i) q^{80} +(-0.488879 - 4.65137i) q^{81} +(-27.4097 + 5.82610i) q^{82} +(0.598322 - 1.84145i) q^{83} +(-0.0858404 - 7.93679i) q^{84} +(2.65880 + 1.93173i) q^{85} +(-8.78056 + 9.75180i) q^{86} +(0.588580 - 1.01945i) q^{87} +(-1.60220 - 2.77509i) q^{89} +(-4.22642 - 13.0076i) q^{90} +(1.71574 - 8.52421i) q^{91} +(-22.0782 + 16.0408i) q^{92} +(-1.64035 + 0.348666i) q^{93} +(2.48484 + 2.75970i) q^{94} +(-1.59405 - 15.1664i) q^{95} +(0.159658 - 1.51904i) q^{96} +(0.574582 + 1.76838i) q^{97} +(17.1294 + 3.25544i) q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - q^{3} + 4 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} - 18 q^{8}+O(q^{10}) \) 24 * q - q^3 + 4 * q^4 - 2 * q^5 - 2 * q^6 + 2 * q^7 - 18 * q^8	\( 24 q - q^{3} + 4 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} - 18 q^{8} - 36 q^{10} + 36 q^{12} - 22 q^{13} - 12 q^{14} + 14 q^{15} + 2 q^{16} + 3 q^{17} - 10 q^{18} + 11 q^{19} - 28 q^{20} - 40 q^{21} - 48 q^{23} - 2 q^{24} + 3 q^{25} + q^{26} - 4 q^{27} + 13 q^{28} - 18 q^{29} - 2 q^{30} - 3 q^{31} - 12 q^{32} - 80 q^{34} + 9 q^{35} + 18 q^{36} - 4 q^{37} + 8 q^{38} + 5 q^{39} + 3 q^{40} - 10 q^{41} + 2 q^{42} - 16 q^{43} + 36 q^{45} + 10 q^{46} - 3 q^{47} - 20 q^{48} + 24 q^{49} - 6 q^{50} - 2 q^{51} + 7 q^{52} + 17 q^{53} - 32 q^{54} + 12 q^{56} + 40 q^{57} - 13 q^{58} + 8 q^{59} + 6 q^{60} + 24 q^{61} + 26 q^{62} + 12 q^{63} + 14 q^{64} + 60 q^{65} + 64 q^{67} - 5 q^{68} + 6 q^{69} + 27 q^{70} - 14 q^{71} - 10 q^{72} + 20 q^{73} - 22 q^{74} + 25 q^{75} + 312 q^{76} - 48 q^{78} - 3 q^{79} + 9 q^{80} - 17 q^{81} + 41 q^{82} - 22 q^{83} + 12 q^{84} + 22 q^{85} - 21 q^{86} + 120 q^{87} - 4 q^{89} + 20 q^{90} + 15 q^{91} - 50 q^{92} - 26 q^{93} + 10 q^{94} + 17 q^{95} - 27 q^{96} - 18 q^{97} + 96 q^{98}+O(q^{100}) \) 24 * q - q^3 + 4 * q^4 - 2 * q^5 - 2 * q^6 + 2 * q^7 - 18 * q^8 - 36 * q^10 + 36 * q^12 - 22 * q^13 - 12 * q^14 + 14 * q^15 + 2 * q^16 + 3 * q^17 - 10 * q^18 + 11 * q^19 - 28 * q^20 - 40 * q^21 - 48 * q^23 - 2 * q^24 + 3 * q^25 + q^26 - 4 * q^27 + 13 * q^28 - 18 * q^29 - 2 * q^30 - 3 * q^31 - 12 * q^32 - 80 * q^34 + 9 * q^35 + 18 * q^36 - 4 * q^37 + 8 * q^38 + 5 * q^39 + 3 * q^40 - 10 * q^41 + 2 * q^42 - 16 * q^43 + 36 * q^45 + 10 * q^46 - 3 * q^47 - 20 * q^48 + 24 * q^49 - 6 * q^50 - 2 * q^51 + 7 * q^52 + 17 * q^53 - 32 * q^54 + 12 * q^56 + 40 * q^57 - 13 * q^58 + 8 * q^59 + 6 * q^60 + 24 * q^61 + 26 * q^62 + 12 * q^63 + 14 * q^64 + 60 * q^65 + 64 * q^67 - 5 * q^68 + 6 * q^69 + 27 * q^70 - 14 * q^71 - 10 * q^72 + 20 * q^73 - 22 * q^74 + 25 * q^75 + 312 * q^76 - 48 * q^78 - 3 * q^79 + 9 * q^80 - 17 * q^81 + 41 * q^82 - 22 * q^83 + 12 * q^84 + 22 * q^85 - 21 * q^86 + 120 * q^87 - 4 * q^89 + 20 * q^90 + 15 * q^91 - 50 * q^92 - 26 * q^93 + 10 * q^94 + 17 * q^95 - 27 * q^96 - 18 * q^97 + 96 * q^98

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