LMFDB - Embedded newform 73.2.h.a.3.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [73,2,Mod(3,73)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(73, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([1]))

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

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

chi := DirichletCharacter("73.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 73 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	73.h (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:	$0.582907934755$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} + 28 x^{18} + 326 x^{16} + 2044 x^{14} + 7471 x^{12} + 16090 x^{10} + 19590 x^{8} + 12030 x^{6} + \cdots + 1 $ x^20 + 28x^18 + 326x^16 + 2044x^14 + 7471x^12 + 16090x^10 + 19590x^8 + 12030x^6 + 2877x^4 + 230*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			3.2
Root			$-1.44785i$ of defining polynomial
Character	$\chi$	$=$	73.3
Dual form			73.2.h.a.49.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.723926 + 1.25388i) q^{2} -0.458687i q^{3} +(-0.0481386 - 0.0833785i) q^{4} +(2.03807 + 0.546100i) q^{5} +(0.575137 + 0.332055i) q^{6} +(-2.38436 + 2.38436i) q^{7} -2.75631 q^{8} +2.78961 q^{9} +O(q^{10})$	\(q+(-0.723926 + 1.25388i) q^{2} -0.458687i q^{3} +(-0.0481386 - 0.0833785i) q^{4} +(2.03807 + 0.546100i) q^{5} +(0.575137 + 0.332055i) q^{6} +(-2.38436 + 2.38436i) q^{7} -2.75631 q^{8} +2.78961 q^{9} +(-2.16016 + 2.16016i) q^{10} +(1.13811 - 4.24747i) q^{11} +(-0.0382446 + 0.0220805i) q^{12} +(-2.85346 + 0.764583i) q^{13} +(-1.26360 - 4.71580i) q^{14} +(0.250489 - 0.934836i) q^{15} +(2.09164 - 3.62283i) q^{16} +(5.36922 - 5.36922i) q^{17} +(-2.01947 + 3.49782i) q^{18} +(-2.10676 - 1.21634i) q^{19} +(-0.0525770 - 0.196220i) q^{20} +(1.09368 + 1.09368i) q^{21} +(4.50190 + 4.50190i) q^{22} +(-2.13349 + 1.23177i) q^{23} +1.26428i q^{24} +(-0.474616 - 0.274019i) q^{25} +(1.10700 - 4.13139i) q^{26} -2.65562i q^{27} +(0.313585 + 0.0840248i) q^{28} +(-5.66546 + 1.51806i) q^{29} +(0.990835 + 0.990835i) q^{30} +(0.429781 - 0.115159i) q^{31} +(0.272080 + 0.471257i) q^{32} +(-1.94826 - 0.522034i) q^{33} +(2.84542 + 10.6193i) q^{34} +(-6.16161 + 3.55741i) q^{35} +(-0.134288 - 0.232593i) q^{36} +(2.93208 + 5.07850i) q^{37} +(3.05028 - 1.76108i) q^{38} +(0.350704 + 1.30885i) q^{39} +(-5.61756 - 1.50522i) q^{40} +(1.80111 + 3.11961i) q^{41} +(-2.16308 + 0.579595i) q^{42} +(4.83927 + 4.83927i) q^{43} +(-0.408934 + 0.109574i) q^{44} +(5.68542 + 1.52340i) q^{45} -3.56684i q^{46} +(-0.780539 + 2.91301i) q^{47} +(-1.66174 - 0.959409i) q^{48} -4.37039i q^{49} +(0.687174 - 0.396740i) q^{50} +(-2.46279 - 2.46279i) q^{51} +(0.201112 + 0.201112i) q^{52} +(-2.89458 - 10.8027i) q^{53} +(3.32982 + 1.92247i) q^{54} +(4.63908 - 8.03512i) q^{55} +(6.57205 - 6.57205i) q^{56} +(-0.557918 + 0.966342i) q^{57} +(2.19792 - 8.20276i) q^{58} +(2.40748 + 8.98484i) q^{59} +(-0.0900034 + 0.0241164i) q^{60} +(-7.21118 + 4.16338i) q^{61} +(-0.166734 + 0.622259i) q^{62} +(-6.65144 + 6.65144i) q^{63} +7.57871 q^{64} -6.23310 q^{65} +(2.06496 - 2.06496i) q^{66} +(-9.97759 - 5.76056i) q^{67} +(-0.706145 - 0.189211i) q^{68} +(0.564996 + 0.978602i) q^{69} -10.3012i q^{70} +(3.54359 - 6.13768i) q^{71} -7.68902 q^{72} +(7.50464 + 4.08417i) q^{73} -8.49043 q^{74} +(-0.125689 + 0.217700i) q^{75} +0.234211i q^{76} +(7.41385 + 12.8412i) q^{77} +(-1.89502 - 0.507768i) q^{78} +(-8.47093 - 4.89069i) q^{79} +(6.24134 - 6.24134i) q^{80} +7.15072 q^{81} -5.21548 q^{82} +(-5.55221 + 5.55221i) q^{83} +(0.0385411 - 0.143837i) q^{84} +(13.8750 - 8.01073i) q^{85} +(-9.57113 + 2.56458i) q^{86} +(0.696312 + 2.59867i) q^{87} +(-3.13697 + 11.7073i) q^{88} +(-3.64561 + 6.31439i) q^{89} +(-6.02598 + 6.02598i) q^{90} +(4.98065 - 8.62674i) q^{91} +(0.205406 + 0.118591i) q^{92} +(-0.0528221 - 0.197135i) q^{93} +(-3.08750 - 3.08750i) q^{94} +(-3.62948 - 3.62948i) q^{95} +(0.216159 - 0.124800i) q^{96} +10.1144i q^{97} +(5.47993 + 3.16384i) q^{98} +(3.17487 - 11.8488i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) $ 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/73\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{1}{12}\right)$

Coefficient data

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

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

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

$2$	−0.723926	+	1.25388i	−0.511893	+	0.886625i	0.488012	+	0.872837i	$0.337722\pi$
$2$	−0.723926	+	1.25388i	−0.511893	+	0.886625i	−0.999905	+	0.0137880i	$0.995611\pi$
$3$		−	0.458687i		−	0.264823i	−0.991195	−	0.132411i	$-0.957728\pi$
$3$		−	0.458687i		−	0.264823i	0.991195	−	0.132411i	$-0.0422720\pi$
$4$	−0.0481386	−	0.0833785i	−0.0240693	−	0.0416893i
$5$	2.03807	+	0.546100i	0.911453	+	0.244223i	0.683928	−	0.729549i	$-0.260270\pi$
$5$	2.03807	+	0.546100i	0.911453	+	0.244223i	0.227525	+	0.973772i	$0.426937\pi$
$6$	0.575137	+	0.332055i	0.234799	+	0.135561i
$7$	−2.38436	+	2.38436i	−0.901205	+	0.901205i	−0.995540	−	0.0943354i	$-0.969927\pi$
$7$	−2.38436	+	2.38436i	−0.901205	+	0.901205i	0.0943354	+	0.995540i	$0.469927\pi$
$8$	−2.75631			−0.974503
$9$	2.78961			0.929869
$10$	−2.16016	+	2.16016i	−0.683101	+	0.683101i
$11$	1.13811	−	4.24747i	0.343152	−	1.28066i	−0.551605	−	0.834106i	$-0.685984\pi$
$11$	1.13811	−	4.24747i	0.343152	−	1.28066i	0.894757	−	0.446554i	$-0.147349\pi$
$12$	−0.0382446	+	0.0220805i	−0.0110403	+	0.00637410i
$13$	−2.85346	+	0.764583i	−0.791408	+	0.212057i	−0.631808	−	0.775125i	$-0.717687\pi$
$13$	−2.85346	+	0.764583i	−0.791408	+	0.212057i	−0.159600	+	0.987182i	$0.551020\pi$
$14$	−1.26360	−	4.71580i	−0.337710	−	1.26035i
$15$	0.250489	−	0.934836i	0.0646759	−	0.241374i
$16$	2.09164	−	3.62283i	0.522911	−	0.905708i
$17$	5.36922	−	5.36922i	1.30223	−	1.30223i	0.375340	−	0.926887i	$-0.377526\pi$
$17$	5.36922	−	5.36922i	1.30223	−	1.30223i	0.926887	−	0.375340i	$-0.122474\pi$
$18$	−2.01947	+	3.49782i	−0.475994	+	0.824445i
$19$	−2.10676	−	1.21634i	−0.483323	−	0.279047i	0.238477	−	0.971148i	$-0.423352\pi$
$19$	−2.10676	−	1.21634i	−0.483323	−	0.279047i	−0.721800	+	0.692101i	$0.756685\pi$
$20$	−0.0525770	−	0.196220i	−0.0117566	−	0.0438761i
$21$	1.09368	+	1.09368i	0.238660	+	0.238660i
$22$	4.50190	+	4.50190i	0.959808	+	0.959808i
$23$	−2.13349	+	1.23177i	−0.444863	+	0.256842i	−0.705658	−	0.708552i	$-0.749349\pi$
$23$	−2.13349	+	1.23177i	−0.444863	+	0.256842i	0.260795	+	0.965394i	$0.416015\pi$
$24$			1.26428i			0.258071i
$25$	−0.474616	−	0.274019i	−0.0949231	−	0.0548039i
$26$	1.10700	−	4.13139i	0.217101	−	0.810233i
$27$		−	2.65562i		−	0.511073i
$28$	0.313585	+	0.0840248i	0.0592620	+	0.0158792i
$29$	−5.66546	+	1.51806i	−1.05205	+	0.281896i	−0.743099	−	0.669182i	$-0.766645\pi$
$29$	−5.66546	+	1.51806i	−1.05205	+	0.281896i	−0.308952	+	0.951078i	$0.599978\pi$
$30$	0.990835	+	0.990835i	0.180901	+	0.180901i
$31$	0.429781	−	0.115159i	0.0771909	−	0.0206832i	−0.220017	−	0.975496i	$-0.570611\pi$
$31$	0.429781	−	0.115159i	0.0771909	−	0.0206832i	0.297208	+	0.954813i	$0.403945\pi$
$32$	0.272080	+	0.471257i	0.0480974	+	0.0833072i
$33$	−1.94826	−	0.522034i	−0.339148	−	0.0908744i
$34$	2.84542	+	10.6193i	0.487986	+	1.82119i
$35$	−6.16161	+	3.55741i	−1.04150	+	0.601311i
$36$	−0.134288	−	0.232593i	−0.0223813	−	0.0387655i
$37$	2.93208	+	5.07850i	0.482030	+	0.834901i	0.999787	−	0.0206268i	$-0.00656619\pi$
$37$	2.93208	+	5.07850i	0.482030	+	0.834901i	−0.517757	+	0.855528i	$0.673233\pi$
$38$	3.05028	−	1.76108i	0.494820	−	0.285684i
$39$	0.350704	+	1.30885i	0.0561576	+	0.209583i
$40$	−5.61756	−	1.50522i	−0.888214	−	0.237996i
$41$	1.80111	+	3.11961i	0.281286	+	0.487202i	0.971702	−	0.236211i	$-0.0759057\pi$
$41$	1.80111	+	3.11961i	0.281286	+	0.487202i	−0.690416	+	0.723413i	$0.742572\pi$
$42$	−2.16308	+	0.579595i	−0.333770	+	0.0894334i
$43$	4.83927	+	4.83927i	0.737982	+	0.737982i	0.972187	−	0.234205i	$-0.0752488\pi$
$43$	4.83927	+	4.83927i	0.737982	+	0.737982i	−0.234205	+	0.972187i	$0.575249\pi$
$44$	−0.408934	+	0.109574i	−0.0616492	+	0.0165188i
$45$	5.68542	+	1.52340i	0.847532	+	0.227096i
$46$		−	3.56684i		−	0.525902i
$47$	−0.780539	+	2.91301i	−0.113853	+	0.424906i	−0.999199	−	0.0400279i	$-0.987255\pi$
$47$	−0.780539	+	2.91301i	−0.113853	+	0.424906i	0.885345	+	0.464934i	$0.153922\pi$
$48$	−1.66174	−	0.959409i	−0.239852	−	0.138479i
$49$		−	4.37039i		−	0.624341i
$50$	0.687174	−	0.396740i	0.0971810	−	0.0561075i
$51$	−2.46279	−	2.46279i	−0.344860	−	0.344860i
$52$	0.201112	+	0.201112i	0.0278892	+	0.0278892i
$53$	−2.89458	−	10.8027i	−0.397601	−	1.48387i	−0.817304	−	0.576207i	$-0.804532\pi$
$53$	−2.89458	−	10.8027i	−0.397601	−	1.48387i	0.419702	−	0.907662i	$-0.362134\pi$
$54$	3.32982	+	1.92247i	0.453130	+	0.261615i
$55$	4.63908	−	8.03512i	0.625534	−	1.08346i
$56$	6.57205	−	6.57205i	0.878227	−	0.878227i
$57$	−0.557918	+	0.966342i	−0.0738980	+	0.127995i
$58$	2.19792	−	8.20276i	0.288601	−	1.07707i
$59$	2.40748	+	8.98484i	0.313427	+	1.16973i	0.925445	+	0.378882i	$0.123692\pi$
$59$	2.40748	+	8.98484i	0.313427	+	1.16973i	−0.612018	+	0.790844i	$0.709642\pi$
$60$	−0.0900034	+	0.0241164i	−0.0116194	+	0.00311341i
$61$	−7.21118	+	4.16338i	−0.923297	+	0.533066i	−0.884685	−	0.466188i	$-0.845627\pi$
$61$	−7.21118	+	4.16338i	−0.923297	+	0.533066i	−0.0386117	+	0.999254i	$0.512294\pi$
$62$	−0.166734	+	0.622259i	−0.0211752	+	0.0790270i
$63$	−6.65144	+	6.65144i	−0.838003	+	0.838003i
$64$	7.57871			0.947338
$65$	−6.23310			−0.773121
$66$	2.06496	−	2.06496i	0.254179	−	0.254179i
$67$	−9.97759	−	5.76056i	−1.21896	−	0.703765i	−0.254262	−	0.967136i	$-0.581832\pi$
$67$	−9.97759	−	5.76056i	−1.21896	−	0.703765i	−0.964695	+	0.263371i	$0.915166\pi$
$68$	−0.706145	−	0.189211i	−0.0856326	−	0.0229452i
$69$	0.564996	+	0.978602i	0.0680175	+	0.117810i
$70$		−	10.3012i		−	1.23123i
$71$	3.54359	−	6.13768i	0.420547	−	0.728409i	−0.575446	−	0.817840i	$-0.695172\pi$
$71$	3.54359	−	6.13768i	0.420547	−	0.728409i	0.995993	+	0.0894309i	$0.0285048\pi$
$72$	−7.68902			−0.906160
$73$	7.50464	+	4.08417i	0.878351	+	0.478016i
$73$	7.50464	+	4.08417i	0.878351	+	0.478016i
$74$	−8.49043			−0.986992
$75$	−0.125689	+	0.217700i	−0.0145133	+	0.0251378i
$76$			0.234211i			0.0268659i
$77$	7.41385	+	12.8412i	0.844887	+	1.46339i
$78$	−1.89502	−	0.507768i	−0.214568	−	0.0574934i
$79$	−8.47093	−	4.89069i	−0.953054	−	0.550246i	−0.0590255	−	0.998256i	$-0.518799\pi$
$79$	−8.47093	−	4.89069i	−0.953054	−	0.550246i	−0.894028	+	0.448011i	$0.852133\pi$
$80$	6.24134	−	6.24134i	0.697804	−	0.697804i
$81$	7.15072			0.794525
$82$	−5.21548			−0.575954
$83$	−5.55221	+	5.55221i	−0.609434	+	0.609434i	−0.942798	−	0.333364i	$-0.891816\pi$
$83$	−5.55221	+	5.55221i	−0.609434	+	0.609434i	0.333364	+	0.942798i	$0.391816\pi$
$84$	0.0385411	−	0.143837i	0.00420517	−	0.0156939i
$85$	13.8750	−	8.01073i	1.50495	−	0.868885i
$86$	−9.57113	+	2.56458i	−1.03208	+	0.276545i
$87$	0.696312	+	2.59867i	0.0746525	+	0.278607i
$88$	−3.13697	+	11.7073i	−0.334402	+	1.24801i
$89$	−3.64561	+	6.31439i	−0.386434	+	0.669324i	−0.991967	−	0.126496i	$-0.959627\pi$
$89$	−3.64561	+	6.31439i	−0.386434	+	0.669324i	0.605533	+	0.795820i	$0.292960\pi$
$90$	−6.02598	+	6.02598i	−0.635195	+	0.635195i
$91$	4.98065	−	8.62674i	0.522114	−	0.904328i
$92$	0.205406	+	0.118591i	0.0214151	+	0.0123640i
$93$	−0.0528221	−	0.197135i	−0.00547740	−	0.0204419i
$94$	−3.08750	−	3.08750i	−0.318452	−	0.318452i
$95$	−3.62948	−	3.62948i	−0.372377	−	0.372377i
$96$	0.216159	−	0.124800i	0.0220617	−	0.0127373i
$97$			10.1144i			1.02696i	0.858100	+	0.513482i	$0.171645\pi$
$97$			10.1144i			1.02696i	−0.858100	+	0.513482i	$0.828355\pi$
$98$	5.47993	+	3.16384i	0.553557	+	0.319596i
$99$	3.17487	−	11.8488i	0.319086	−	1.19085i
$100$			0.0527637i			0.00527637i
$101$	4.02375	+	1.07816i	0.400378	+	0.107281i	0.453389	−	0.891313i	$-0.350215\pi$
$101$	4.02375	+	1.07816i	0.400378	+	0.107281i	−0.0530104	+	0.998594i	$0.516882\pi$
$102$	4.87091	−	1.30516i	0.482292	−	0.129230i
$103$	−3.88886	−	3.88886i	−0.383181	−	0.383181i	0.489066	−	0.872247i	$-0.337338\pi$
$103$	−3.88886	−	3.88886i	−0.383181	−	0.383181i	−0.872247	+	0.489066i	$0.837338\pi$
$104$	7.86503	−	2.10743i	0.771230	−	0.206650i
$105$	1.63173	+	2.82625i	0.159241	+	0.275813i
$106$	15.6408	+	4.19093i	1.51916	+	0.407059i
$107$	−1.19593	−	4.46325i	−0.115614	−	0.431479i	0.883718	−	0.468020i	$-0.155033\pi$
$107$	−1.19593	−	4.46325i	−0.115614	−	0.431479i	−0.999332	+	0.0365413i	$0.988366\pi$
$108$	−0.221421	+	0.127838i	−0.0213063	+	0.0123012i
$109$	−1.79604	−	3.11083i	−0.172029	−	0.297964i	0.767100	−	0.641528i	$-0.221699\pi$
$109$	−1.79604	−	3.11083i	−0.172029	−	0.297964i	−0.939129	+	0.343564i	$0.888366\pi$
$110$	6.71671	+	11.6337i	0.640413	+	1.10923i
$111$	2.32944	−	1.34490i	0.221101	−	0.127653i
$112$	3.65091	+	13.6254i	0.344979	+	1.28748i
$113$	7.66140	+	2.05286i	0.720723	+	0.193117i	0.600494	−	0.799629i	$-0.294970\pi$
$113$	7.66140	+	2.05286i	0.720723	+	0.193117i	0.120229	+	0.992746i	$0.461637\pi$
$114$	−0.807783	−	1.39912i	−0.0756558	−	0.131040i
$115$	−5.02087	+	1.34534i	−0.468198	+	0.125453i
$116$	0.399301	+	0.399301i	0.0370742	+	0.0370742i
$117$	−7.96004	+	2.13289i	−0.735906	+	0.197185i
$118$	−13.0087	−	3.48568i	−1.19755	−	0.320883i
$119$			25.6044i			2.34715i
$120$	−0.690424	+	2.57670i	−0.0630268	+	0.235219i
$121$	−7.21942	−	4.16813i	−0.656311	−	0.378921i
$122$		−	12.0559i		−	1.09149i
$123$	1.43093	−	0.826145i	0.129022	−	0.0744910i
$124$	−0.0302909	−	0.0302909i	−0.00272020	−	0.00272020i
$125$	−8.27752	−	8.27752i	−0.740364	−	0.740364i
$126$	−3.52494	−	13.1552i	−0.314026	−	1.17196i
$127$	12.6958	+	7.32992i	1.12657	+	0.650425i	0.943070	−	0.332595i	$-0.107924\pi$
$127$	12.6958	+	7.32992i	1.12657	+	0.650425i	0.183499	+	0.983020i	$0.441258\pi$
$128$	−6.03059	+	10.4453i	−0.533033	+	0.923241i
$129$	2.21971	−	2.21971i	0.195434	−	0.195434i
$130$	4.51231	−	7.81554i	0.395755	−	0.685469i
$131$	2.40332	−	8.96930i	0.209979	−	0.783651i	−0.777895	−	0.628394i	$-0.783713\pi$
$131$	2.40332	−	8.96930i	0.209979	−	0.783651i	0.987874	−	0.155257i	$-0.0496207\pi$
$132$	0.0502600	+	0.187573i	0.00437457	+	0.0163261i
$133$	7.92347	−	2.12309i	0.687052	−	0.184095i
$134$	14.4461	−	8.34045i	1.24795	−	0.720505i
$135$	1.45023	−	5.41233i	0.124816	−	0.465820i
$136$	−14.7992	+	14.7992i	−1.26902	+	1.26902i
$137$	−20.5709			−1.75749			−0.878747	−	0.477287i	$-0.841620\pi$
$137$	−20.5709			−1.75749			−0.878747	+	0.477287i	$0.841620\pi$
$138$	−1.63606			−0.139271
$139$	−3.67906	+	3.67906i	−0.312054	+	0.312054i	−0.845705	−	0.533651i	$-0.820820\pi$
$139$	−3.67906	+	3.67906i	−0.312054	+	0.312054i	0.533651	+	0.845705i	$0.320820\pi$
$140$	0.593222	+	0.342497i	0.0501364	+	0.0289463i
$141$	1.33616	+	0.358023i	0.112525	+	0.0301509i
$142$	5.13060	+	8.88646i	0.430550	+	0.745735i
$143$			12.9902i			1.08629i
$144$	5.83486	−	10.1063i	0.486238	−	0.842189i
$145$	−12.3756			−1.02774
$146$	−10.5538	+	6.45326i	−0.873443	+	0.534075i
$147$	−2.00464			−0.165340
$148$	0.282292	−	0.488944i	0.0232043	−	0.0401910i
$149$		−	2.21393i		−	0.181372i	−0.995880	−	0.0906862i	$-0.971094\pi$
$149$		−	2.21393i		−	0.181372i	0.995880	−	0.0906862i	$-0.0289060\pi$
$150$	−0.181979	−	0.315197i	−0.0148585	−	0.0257358i
$151$	6.35385	+	1.70251i	0.517069	+	0.138548i	0.507911	−	0.861410i	$-0.330418\pi$
$151$	6.35385	+	1.70251i	0.517069	+	0.138548i	0.00915866	+	0.999958i	$0.497085\pi$
$152$	5.80688	+	3.35260i	0.471000	+	0.271932i
$153$	14.9780	−	14.9780i	1.21090	−	1.21090i
$154$	−21.4683			−1.72997
$155$	0.938813			0.0754073
$156$	0.0922472	−	0.0922472i	0.00738569	−	0.00738569i
$157$	4.93449	−	18.4158i	0.393815	−	1.46974i	−0.429973	−	0.902842i	$-0.641477\pi$
$157$	4.93449	−	18.4158i	0.393815	−	1.46974i	0.823789	−	0.566897i	$-0.191856\pi$
$158$	12.2647	−	7.08100i	0.975723	−	0.563334i
$159$	−4.95507	+	1.32771i	−0.392962	+	0.105294i
$160$	0.297166	+	1.10904i	0.0234930	+	0.0876771i
$161$	2.15002	−	8.02400i	0.169446	−	0.632380i
$162$	−5.17660	+	8.96613i	−0.406712	+	0.704446i
$163$	8.42481	−	8.42481i	0.659882	−	0.659882i	−0.295470	−	0.955352i	$-0.595476\pi$
$163$	8.42481	−	8.42481i	0.659882	−	0.659882i	0.955352	+	0.295470i	$0.0954763\pi$
$164$	0.173406	−	0.300348i	0.0135407	−	0.0234532i
$165$	−3.68560	−	2.12788i	−0.286924	−	0.165656i
$166$	−2.94240	−	10.9812i	−0.228374	−	0.852304i
$167$	−0.245707	−	0.245707i	−0.0190134	−	0.0190134i	0.697536	−	0.716550i	$-0.254280\pi$
$167$	−0.245707	−	0.245707i	−0.0190134	−	0.0190134i	−0.716550	+	0.697536i	$0.754280\pi$
$168$	−3.01451	−	3.01451i	−0.232575	−	0.232575i
$169$	−3.70066	+	2.13658i	−0.284666	+	0.164352i
$170$			23.1967i			1.77911i
$171$	−5.87703	−	3.39310i	−0.449427	−	0.259477i
$172$	0.170535	−	0.636447i	0.0130032	−	0.0485286i
$173$		−	10.0323i		−	0.762741i	−0.924422	−	0.381371i	$-0.875452\pi$
$173$		−	10.0323i		−	0.762741i	0.924422	−	0.381371i	$-0.124548\pi$
$174$	−3.76250	−	1.00816i	−0.285234	−	0.0764282i
$175$	1.78502	−	0.478294i	0.134935	−	0.0361557i
$176$	−13.0073	−	13.0073i	−0.980466	−	0.980466i
$177$	4.12123	−	1.10428i	0.309770	−	0.0830027i
$178$	−5.27831	−	9.14231i	−0.395626	−	0.685245i
$179$	24.9725	+	6.69137i	1.86654	+	0.500137i	0.999999	+	0.00102210i	$0.000325345\pi$
$179$	24.9725	+	6.69137i	1.86654	+	0.500137i	0.866536	+	0.499115i	$0.166341\pi$
$180$	−0.146669	−	0.547376i	−0.0109321	−	0.0407990i
$181$	−1.50933	+	0.871410i	−0.112187	+	0.0647714i	−0.555044	−	0.831821i	$-0.687298\pi$
$181$	−1.50933	+	0.871410i	−0.112187	+	0.0647714i	0.442856	+	0.896593i	$0.353965\pi$
$182$	7.21125	+	12.4903i	0.534533	+	0.925839i
$183$	1.90969	+	3.30767i	0.141168	+	0.244510i
$184$	5.88055	−	3.39514i	0.433520	−	0.250293i
$185$	3.20241	+	11.9516i	0.235446	+	0.878696i
$186$	0.285422	+	0.0764786i	0.0209282	+	0.00560768i
$187$	−16.6949	−	28.9163i	−1.22085	−	2.11457i
$188$	0.280457	−	0.0751481i	0.0204544	−	0.00548074i
$189$	6.33195	+	6.33195i	0.460582	+	0.460582i
$190$	7.17840	−	1.92345i	0.520776	−	0.139542i
$191$	7.58789	+	2.03317i	0.549040	+	0.147115i	0.522666	−	0.852537i	$-0.324937\pi$
$191$	7.58789	+	2.03317i	0.549040	+	0.147115i	0.0263738	+	0.999652i	$0.491604\pi$
$192$		−	3.47625i		−	0.250877i
$193$	−0.242381	+	0.904580i	−0.0174470	+	0.0651131i	−0.974101	−	0.226115i	$-0.927397\pi$
$193$	−0.242381	+	0.904580i	−0.0174470	+	0.0651131i	0.956654	+	0.291229i	$0.0940640\pi$
$194$	−12.6823	−	7.32210i	−0.910533	−	0.525696i
$195$			2.85904i			0.204740i
$196$	−0.364397	+	0.210384i	−0.0260283	+	0.0150275i
$197$	−6.93884	−	6.93884i	−0.494372	−	0.494372i	0.415308	−	0.909681i	$-0.363674\pi$
$197$	−6.93884	−	6.93884i	−0.494372	−	0.494372i	−0.909681	+	0.415308i	$0.863674\pi$
$198$	12.5585	+	12.5585i	0.892496	+	0.892496i
$199$	6.41202	+	23.9300i	0.454536	+	1.69635i	0.689449	+	0.724334i	$0.257853\pi$
$199$	6.41202	+	23.9300i	0.454536	+	1.69635i	−0.234913	+	0.972016i	$0.575481\pi$
$200$	1.30819	+	0.755283i	0.0925029	+	0.0534065i
$201$	−2.64229	+	4.57659i	−0.186373	+	0.322807i
$202$	−4.26478	+	4.26478i	−0.300069	+	0.300069i
$203$	9.88893	−	17.1281i	0.694067	−	1.20216i
$204$	−0.0867885	+	0.323899i	−0.00607641	+	0.0226775i
$205$	1.96717	+	7.34158i	0.137393	+	0.512758i
$206$	7.69141	−	2.06091i	0.535886	−	0.143590i
$207$	−5.95159	+	3.43615i	−0.413664	+	0.238829i
$208$	−3.19847	+	11.9369i	−0.221774	+	0.827672i
$209$	−7.56407	+	7.56407i	−0.523218	+	0.523218i
$210$	−4.72502			−0.326057
$211$	−11.9788			−0.824658			−0.412329	−	0.911035i	$-0.635284\pi$
$211$	−11.9788			−0.824658			−0.412329	+	0.911035i	$0.635284\pi$
$212$	−0.761374	+	0.761374i	−0.0522914	+	0.0522914i
$213$	−2.81527	−	1.62540i	−0.192899	−	0.111370i
$214$	6.46213	+	1.73152i	0.441742	+	0.118365i
$215$	7.22006	+	12.5055i	0.492404	+	0.852868i
$216$			7.31970i			0.498042i
$217$	−0.750172	+	1.29934i	−0.0509250	+	0.0882047i
$218$	5.20080			0.352243
$219$	1.87335	−	3.44228i	0.126589	−	0.232608i
$220$	−0.893276			−0.0602246
$221$	−11.2157	+	19.4261i	−0.754447	+	1.30674i
$222$			3.89445i			0.261378i
$223$	13.3440	+	23.1125i	0.893581	+	1.54773i	0.835552	+	0.549412i	$0.185148\pi$
$223$	13.3440	+	23.1125i	0.893581	+	1.54773i	0.0580290	+	0.998315i	$0.481518\pi$
$224$	−1.77239	−	0.474909i	−0.118423	−	0.0317312i
$225$	−1.32399	−	0.764407i	−0.0882661	−	0.0509604i
$226$	−8.12033	+	8.12033i	−0.540156	+	0.540156i
$227$	−2.26439			−0.150293			−0.0751465	−	0.997173i	$-0.523942\pi$
$227$	−2.26439			−0.150293			−0.0751465	+	0.997173i	$0.523942\pi$
$228$	0.107430			0.00711470
$229$	−7.68166	+	7.68166i	−0.507618	+	0.507618i	−0.913795	−	0.406177i	$-0.866862\pi$
$229$	−7.68166	+	7.68166i	−0.507618	+	0.507618i	0.406177	+	0.913795i	$0.366862\pi$
$230$	1.94785	−	7.26948i	0.128437	−	0.479335i
$231$	5.89007	−	3.40064i	0.387538	−	0.223745i
$232$	15.6158	−	4.18423i	1.02523	−	0.274708i
$233$	−2.18704	−	8.16215i	−0.143278	−	0.534721i	−0.999826	−	0.0186533i	$-0.994062\pi$
$233$	−2.18704	−	8.16215i	−0.143278	−	0.534721i	0.856548	−	0.516067i	$-0.172605\pi$
$234$	3.08811	−	11.5250i	0.201876	−	0.753411i
$235$	−3.18159	+	5.51067i	−0.207544	+	0.359477i
$236$	0.633250	−	0.633250i	0.0412211	−	0.0412211i
$237$	−2.24330	+	3.88550i	−0.145718	+	0.252390i
$238$	−32.1047	−	18.5357i	−2.08104	−	1.20149i
$239$	−4.16298	−	15.5365i	−0.269281	−	1.00497i	−0.959578	−	0.281443i	$-0.909187\pi$
$239$	−4.16298	−	15.5365i	−0.269281	−	1.00497i	0.690297	−	0.723526i	$-0.257480\pi$
$240$	−2.86282	−	2.86282i	−0.184794	−	0.184794i
$241$	10.3959	+	10.3959i	0.669662	+	0.669662i	0.957638	−	0.287976i	$-0.0929823\pi$
$241$	10.3959	+	10.3959i	0.669662	+	0.669662i	−0.287976	+	0.957638i	$0.592982\pi$
$242$	10.4527	−	6.03484i	0.671922	−	0.387934i
$243$		−	11.2468i		−	0.721482i
$244$	0.694273	+	0.400838i	0.0444462	+	0.0256611i
$245$	2.38667	−	8.90716i	0.152479	−	0.569058i
$246$			2.39227i			0.152526i
$247$	6.94155	+	1.85998i	0.441680	+	0.118348i
$248$	−1.18461	+	0.317415i	−0.0752228	+	0.0201559i
$249$	2.54672	+	2.54672i	0.161392	+	0.161392i
$250$	16.3713	−	4.38668i	1.03541	−	0.277438i
$251$	2.24109	+	3.88169i	0.141457	+	0.245010i	0.928045	−	0.372467i	$-0.121488\pi$
$251$	2.24109	+	3.88169i	0.141457	+	0.245010i	−0.786589	+	0.617477i	$0.788155\pi$
$252$	0.874778	+	0.234396i	0.0551058	+	0.0147656i
$253$	2.80377	+	10.4638i	0.176271	+	0.657854i
$254$	−18.3816	+	10.6126i	−1.15337	+	0.665896i
$255$	−3.67441	−	6.36427i	−0.230101	−	0.398546i
$256$	−1.15269	−	1.99652i	−0.0720433	−	0.124783i
$257$	−15.6712	+	9.04775i	−0.977540	+	0.564383i	−0.901526	−	0.432724i	$-0.857552\pi$
$257$	−15.6712	+	9.04775i	−0.977540	+	0.564383i	−0.0760133	+	0.997107i	$0.524219\pi$
$258$	1.17634	+	4.39015i	0.0732355	+	0.273319i
$259$	−19.1001	−	5.11787i	−1.18683	−	0.318009i
$260$	0.300053	+	0.519707i	0.0186085	+	0.0322309i
$261$	−15.8044	+	4.23478i	−0.978269	+	0.262126i
$262$	9.50658	+	9.50658i	0.587318	+	0.587318i
$263$	26.8837	−	7.20345i	1.65772	−	0.444184i	0.695958	−	0.718082i	$-0.254980\pi$
$263$	26.8837	−	7.20345i	1.65772	−	0.444184i	0.961759	+	0.273898i	$0.0883132\pi$
$264$	5.37000	+	1.43889i	0.330501	+	0.0885574i
$265$		−	23.5975i		−	1.44958i
$266$	−3.07392	+	11.4720i	−0.188474	+	0.703395i
$267$	2.89633	+	1.67219i	0.177252	+	0.102337i
$268$			1.10922i			0.0677565i
$269$	−8.20262	+	4.73579i	−0.500123	+	0.288746i	−0.728764	−	0.684765i	$-0.759905\pi$
$269$	−8.20262	+	4.73579i	−0.500123	+	0.288746i	0.228641	+	0.973511i	$0.426572\pi$
$270$	5.73654	+	5.73654i	0.349115	+	0.349115i
$271$	19.3996	+	19.3996i	1.17844	+	1.17844i	0.980141	+	0.198304i	$0.0635432\pi$
$271$	19.3996	+	19.3996i	1.17844	+	1.17844i	0.198304	+	0.980141i	$0.436457\pi$
$272$	−8.22129	−	30.6823i	−0.498489	−	1.86039i
$273$	−3.95697	−	2.28456i	−0.239487	−	0.138268i
$274$	14.8919	−	25.7934i	0.899650	−	1.55824i
$275$	−1.70405	+	1.70405i	−0.102758	+	0.102758i
$276$	0.0543963	−	0.0942171i	0.00327427	−	0.00567120i
$277$	3.73521	−	13.9400i	0.224427	−	0.837574i	−0.758206	−	0.652015i	$-0.773924\pi$
$277$	3.73521	−	13.9400i	0.224427	−	0.837574i	0.982633	−	0.185559i	$-0.0594095\pi$
$278$	−1.94972	−	7.27646i	−0.116937	−	0.436413i
$279$	1.19892	−	0.321250i	0.0717774	−	0.0192327i
$280$	16.9833	−	9.80531i	1.01495	−	0.585979i
$281$	0.789362	−	2.94594i	0.0470894	−	0.175740i	−0.938376	−	0.345616i	$-0.887670\pi$
$281$	0.789362	−	2.94594i	0.0470894	−	0.175740i	0.985465	+	0.169876i	$0.0543367\pi$
$282$	−1.41620	+	1.41620i	−0.0843333	+	0.0843333i
$283$	13.0655			0.776661			0.388330	−	0.921520i	$-0.373052\pi$
$283$	13.0655			0.776661			0.388330	+	0.921520i	$0.373052\pi$
$284$	−0.682335			−0.0404891
$285$	−1.66480	+	1.66480i	−0.0986140	+	0.0986140i
$286$	−16.2881	−	9.40393i	−0.963134	−	0.556066i
$287$	−11.7328	−	3.14379i	−0.692565	−	0.185572i
$288$	0.758997	+	1.31462i	0.0447243	+	0.0774648i
$289$		−	40.6571i		−	2.39159i
$290$	8.95905	−	15.5175i	0.526093	−	0.911220i
$291$	4.63935			0.271964
$292$	−0.0207309	−	0.822332i	−0.00121318	−	0.0481233i
$293$	−1.83194			−0.107023			−0.0535116	−	0.998567i	$-0.517041\pi$
$293$	−1.83194			−0.107023			−0.0535116	+	0.998567i	$0.517041\pi$
$294$	1.45121	−	2.51357i	0.0846363	−	0.146594i
$295$			19.6265i			1.14270i
$296$	−8.08171	−	13.9979i	−0.469740	−	0.813613i
$297$	−11.2796	−	3.02237i	−0.654511	−	0.175376i
$298$	2.77600	+	1.60272i	0.160809	+	0.0928433i
$299$	5.14604	−	5.14604i	0.297603	−	0.297603i
$300$	0.0242020			0.00139730
$301$	−23.0772			−1.33015
$302$	−6.73446	+	6.73446i	−0.387525	+	0.387525i
$303$	0.494538	−	1.84564i	0.0284105	−	0.106029i
$304$	−8.81317	+	5.08829i	−0.505470	+	0.291833i
$305$	−16.9705	+	4.54724i	−0.971729	+	0.260374i
$306$	7.93761	+	29.6236i	0.453763	+	1.69347i
$307$	3.22203	−	12.0248i	0.183891	−	0.686290i	−0.810974	−	0.585082i	$-0.801062\pi$
$307$	3.22203	−	12.0248i	0.183891	−	0.686290i	0.994865	−	0.101208i	$-0.0322709\pi$
$308$	0.713785	−	1.23631i	0.0406717	−	0.0704454i
$309$	−1.78377	+	1.78377i	−0.101475	+	0.101475i
$310$	−0.679631	+	1.17716i	−0.0386005	+	0.0668580i
$311$	−17.9777	−	10.3795i	−1.01942	−	0.588565i	−0.105487	−	0.994421i	$-0.533640\pi$
$311$	−17.9777	−	10.3795i	−1.01942	−	0.588565i	−0.913937	+	0.405856i	$0.866974\pi$
$312$	−0.966649	−	3.60758i	−0.0547257	−	0.204239i
$313$	18.3211	+	18.3211i	1.03557	+	1.03557i	0.999344	+	0.0362275i	$0.0115341\pi$
$313$	18.3211	+	18.3211i	1.03557	+	1.03557i	0.0362275	+	0.999344i	$0.488466\pi$
$314$	19.5189	+	19.5189i	1.10152	+	1.10152i
$315$	−17.1885	+	9.92376i	−0.968460	+	0.559141i
$316$			0.941724i			0.0529761i
$317$	−0.249666	−	0.144145i	−0.0140226	−	0.00809596i	0.492972	−	0.870045i	$-0.335910\pi$
$317$	−0.249666	−	0.144145i	−0.0140226	−	0.00809596i	−0.506995	+	0.861949i	$0.669244\pi$
$318$	1.92232	−	7.17421i	0.107799	−	0.402310i
$319$			25.7916i			1.44405i
$320$	15.4459	+	4.13873i	0.863455	+	0.231362i
$321$	−2.04724	+	0.548555i	−0.114266	+	0.0306174i
$322$	8.50465	+	8.50465i	0.473946	+	0.473946i
$323$	−17.8424	+	4.78087i	−0.992780	+	0.266015i
$324$	−0.344226	−	0.596217i	−0.0191237	−	0.0331232i
$325$	1.56381	+	0.419021i	0.0867445	+	0.0232431i
$326$	4.46473	+	16.6626i	0.247279	+	0.922857i
$327$	−1.42690	+	0.823820i	−0.0789076	+	0.0455573i
$328$	−4.96442	−	8.59862i	−0.274114	−	0.474780i
$329$	−5.08459	−	8.80677i	−0.280322	−	0.485533i
$330$	5.33621	−	3.08086i	0.293749	−	0.169596i
$331$	4.21738	+	15.7395i	0.231808	+	0.865119i	0.979562	+	0.201143i	$0.0644656\pi$
$331$	4.21738	+	15.7395i	0.231808	+	0.865119i	−0.747754	+	0.663976i	$0.768868\pi$
$332$	0.730210	+	0.195659i	0.0400755	+	0.0107382i
$333$	8.17934	+	14.1670i	0.448225	+	0.776348i
$334$	0.485960	−	0.130213i	0.0265906	−	0.00712492i
$335$	−17.1892	−	17.1892i	−0.939146	−	0.939146i
$336$	6.24978	−	1.67462i	0.340954	−	0.0913583i
$337$	13.2004	+	3.53702i	0.719069	+	0.192674i	0.599756	−	0.800183i	$-0.295264\pi$
$337$	13.2004	+	3.53702i	0.719069	+	0.192674i	0.119313	+	0.992857i	$0.461931\pi$
$338$		−	6.18690i		−	0.336523i
$339$	0.941622	−	3.51418i	0.0511419	−	0.190864i
$340$	−1.33585	−	0.771251i	−0.0724464	−	0.0418269i
$341$		−	1.95654i		−	0.105953i
$342$	8.50907	−	4.91271i	0.460118	−	0.265649i
$343$	−6.26995	−	6.26995i	−0.338546	−	0.338546i
$344$	−13.3385	−	13.3385i	−0.719165	−	0.719165i
$345$	0.617088	+	2.30301i	0.0332229	+	0.123990i
$346$	12.5793	+	7.26264i	0.676265	+	0.390442i
$347$	−5.74606	+	9.95247i	−0.308465	+	0.534277i	−0.978027	−	0.208480i	$-0.933149\pi$
$347$	−5.74606	+	9.95247i	−0.308465	+	0.534277i	0.669562	+	0.742756i	$0.266482\pi$
$348$	0.183154	−	0.183154i	0.00981809	−	0.00981809i
$349$	−4.28292	+	7.41824i	−0.229260	+	0.397089i	−0.957589	−	0.288138i	$-0.906964\pi$
$349$	−4.28292	+	7.41824i	−0.229260	+	0.397089i	0.728329	+	0.685227i	$0.240297\pi$
$350$	−0.692500	+	2.58444i	−0.0370157	+	0.138144i
$351$	2.03044	+	7.57770i	0.108377	+	0.404468i
$352$	2.31130	−	0.619312i	0.123193	−	0.0330094i
$353$	−6.00498	+	3.46697i	−0.319613	+	0.184528i	−0.651220	−	0.758889i	$-0.725742\pi$
$353$	−6.00498	+	3.46697i	−0.319613	+	0.184528i	0.331607	+	0.943418i	$0.392409\pi$
$354$	−1.59883	+	5.96693i	−0.0849770	+	0.317139i
$355$	10.5739	−	10.5739i	0.561203	−	0.561203i
$356$	0.701979			0.0372048
$357$	11.7444			0.621578
$358$	−26.4684	+	26.4684i	−1.39890	+	1.39890i
$359$	−3.05754	−	1.76527i	−0.161371	−	0.0931675i	0.417140	−	0.908842i	$-0.363033\pi$
$359$	−3.05754	−	1.76527i	−0.161371	−	0.0931675i	−0.578511	+	0.815675i	$0.696366\pi$
$360$	−15.6708	−	4.19897i	−0.825922	−	0.221305i
$361$	−6.54105	−	11.3294i	−0.344266	−	0.596286i
$362$		−	2.52335i		−	0.132624i
$363$	−1.91187	+	3.31145i	−0.100347	+	0.173806i
$364$	−0.959047			−0.0502677
$365$	13.0646	+	12.4221i	0.683834	+	0.650203i
$366$	−5.52989			−0.289052
$367$	9.85947	−	17.0771i	0.514660	−	0.891418i	−0.485195	−	0.874406i	$-0.661251\pi$
$367$	9.85947	−	17.0771i	0.514660	−	0.891418i	0.999855	−	0.0170116i	$-0.00541523\pi$
$368$			10.3057i			0.537221i
$369$	5.02439	+	8.70250i	0.261559	+	0.453034i
$370$	−17.3041	−	4.63662i	−0.899597	−	0.241046i
$371$	32.6594	+	18.8559i	1.69559	+	0.978950i
$372$	−0.0138940	+	0.0138940i	−0.000720371	+	0.000720371i
$373$	7.84876			0.406393			0.203197	−	0.979138i	$-0.434867\pi$
$373$	7.84876			0.406393			0.203197	+	0.979138i	$0.434867\pi$
$374$	48.3434			2.49978
$375$	−3.79679	+	3.79679i	−0.196065	+	0.196065i
$376$	2.15141	−	8.02916i	0.110950	−	0.414072i
$377$	15.0055	−	8.66344i	0.772823	−	0.446190i
$378$	−12.5234	+	3.35562i	−0.644132	+	0.172595i
$379$	−7.94414	−	29.6480i	−0.408063	−	1.52291i	−0.798335	−	0.602213i	$-0.794286\pi$
$379$	−7.94414	−	29.6480i	−0.408063	−	1.52291i	0.390272	−	0.920700i	$-0.372381\pi$
$380$	−0.127903	+	0.477339i	−0.00656127	+	0.0244870i
$381$	3.36213	−	5.82339i	0.172247	−	0.298341i
$382$	−8.04241	+	8.04241i	−0.411486	+	0.411486i
$383$	6.72602	−	11.6498i	0.343683	−	0.595277i	−0.641430	−	0.767181i	$-0.721659\pi$
$383$	6.72602	−	11.6498i	0.343683	−	0.595277i	0.985114	+	0.171904i	$0.0549920\pi$
$384$	4.79111	+	2.76615i	0.244495	+	0.141159i
$385$	8.09741	+	30.2199i	0.412682	+	1.54015i
$386$	−0.958765	−	0.958765i	−0.0487999	−	0.0487999i
$387$	13.4997	+	13.4997i	0.686226	+	0.686226i
$388$	0.843326	−	0.486895i	0.0428134	−	0.0247183i
$389$		−	27.9119i		−	1.41519i	−0.706619	−	0.707594i	$-0.749781\pi$
$389$		−	27.9119i		−	1.41519i	0.706619	−	0.707594i	$-0.250219\pi$
$390$	−3.58489	−	2.06973i	−0.181528	−	0.104805i
$391$	−4.84152	+	18.0688i	−0.244846	+	0.913779i
$392$			12.0461i			0.608422i
$393$	−4.11410	−	1.10237i	−0.207529	−	0.0556072i
$394$	13.7237	−	3.67725i	0.691389	−	0.185257i
$395$	−14.5936	−	14.5936i	−0.734281	−	0.734281i
$396$	−1.14077	+	0.305667i	−0.0573257	+	0.0153604i
$397$	3.91024	+	6.77274i	0.196249	+	0.339914i	0.947309	−	0.320320i	$-0.103790\pi$
$397$	3.91024	+	6.77274i	0.196249	+	0.339914i	−0.751060	+	0.660234i	$0.770457\pi$
$398$	−34.6471	−	9.28365i	−1.73670	−	0.465347i
$399$	−0.973832	−	3.63439i	−0.0487526	−	0.181947i
$400$	−1.98545	+	1.14630i	−0.0992726	+	0.0573151i
$401$	−6.96842	−	12.0697i	−0.347986	−	0.602730i	0.637905	−	0.770115i	$-0.279801\pi$
$401$	−6.96842	−	12.0697i	−0.347986	−	0.602730i	−0.985892	+	0.167385i	$0.946468\pi$
$402$	−3.82565	−	6.62622i	−0.190806	−	0.330486i
$403$	−1.13831	+	0.657206i	−0.0567035	+	0.0327378i
$404$	−0.103802	−	0.387396i	−0.00516436	−	0.0192737i
$405$	14.5737	+	3.90501i	0.724172	+	0.194041i
$406$	14.3177	+	24.7990i	0.710576	+	1.23075i
$407$	24.9078	−	6.67402i	1.23463	−	0.330819i
$408$	6.78821	+	6.78821i	0.336067	+	0.336067i
$409$	−2.15198	+	0.576621i	−0.106409	+	0.0285121i	−0.311630	−	0.950203i	$-0.600875\pi$
$409$	−2.15198	+	0.576621i	−0.106409	+	0.0285121i	0.205222	+	0.978715i	$0.434208\pi$
$410$	−10.6295	−	2.84817i	−0.524955	−	0.140661i
$411$			9.43562i			0.465425i
$412$	−0.137043	+	0.511452i	−0.00675164	+	0.0251975i
$413$	−27.1634	−	15.6828i	−1.33663	−	0.771701i
$414$		−	9.95008i		−	0.489020i
$415$	−14.3479	+	8.28374i	−0.704309	+	0.406633i
$416$	−1.13669	−	1.13669i	−0.0557306	−	0.0557306i
$417$	1.68754	+	1.68754i	0.0826390	+	0.0826390i
$418$	−4.00858	−	14.9602i	−0.196066	−	0.731729i
$419$	2.85611	+	1.64897i	0.139530	+	0.0805577i	0.568140	−	0.822932i	$-0.307663\pi$
$419$	2.85611	+	1.64897i	0.139530	+	0.0805577i	−0.428610	+	0.903490i	$0.640997\pi$
$420$	0.157099	−	0.272103i	0.00766564	−	0.0132773i
$421$	19.6541	−	19.6541i	0.957884	−	0.957884i	−0.0412640	−	0.999148i	$-0.513138\pi$
$421$	19.6541	−	19.6541i	0.957884	−	0.957884i	0.999148	+	0.0412640i	$0.0131385\pi$
$422$	8.67180	−	15.0200i	0.422137	−	0.731162i
$423$	−2.17740	+	8.12615i	−0.105869	+	0.395107i
$424$	7.97837	+	29.7757i	0.387464	+	1.44603i
$425$	−4.01959	+	1.07705i	−0.194979	+	0.0522444i
$426$	4.07610	−	2.35334i	0.197488	−	0.114020i
$427$	7.26707	−	27.1211i	0.351678	−	1.31248i
$428$	−0.314569	+	0.314569i	−0.0152053	+	0.0152053i
$429$	5.95842			0.287675
$430$	−20.9072			−1.00823
$431$	6.64639	−	6.64639i	0.320146	−	0.320146i	−0.528677	−	0.848823i	$-0.677312\pi$
$431$	6.64639	−	6.64639i	0.320146	−	0.320146i	0.848823	+	0.528677i	$0.177312\pi$
$432$	−9.62085	−	5.55460i	−0.462883	−	0.267246i
$433$	−27.9256	−	7.48264i	−1.34202	−	0.359593i	−0.484836	−	0.874605i	$-0.661121\pi$
$433$	−27.9256	−	7.48264i	−1.34202	−	0.359593i	−0.857183	+	0.515013i	$0.827787\pi$
$434$	−1.08614	−	1.88125i	−0.0521363	−	0.0903028i
$435$			5.67654i			0.272169i
$436$	−0.172918	+	0.299502i	−0.00828126	+	0.0143436i
$437$	5.99299			0.286684
$438$	2.96002	+	4.84091i	0.141435	+	0.231308i
$439$	−31.1686			−1.48760			−0.743799	−	0.668403i	$-0.766978\pi$
$439$	−31.1686			−1.48760			−0.743799	+	0.668403i	$0.766978\pi$
$440$	−12.7867	+	22.1473i	−0.609584	+	1.05583i
$441$		−	12.1917i		−	0.580555i
$442$	−16.2386	−	28.1261i	−0.772393	−	1.33782i
$443$	6.55398	+	1.75613i	0.311389	+	0.0834364i	0.411129	−	0.911577i	$-0.365135\pi$
$443$	6.55398	+	1.75613i	0.311389	+	0.0834364i	−0.0997402	+	0.995014i	$0.531801\pi$
$444$	−0.224272	−	0.129484i	−0.0106435	−	0.00614502i
$445$	−10.8783	+	10.8783i	−0.515681	+	0.515681i
$446$	−38.6403			−1.82967
$447$	−1.01550			−0.0480316
$448$	−18.0704	+	18.0704i	−0.853746	+	0.853746i
$449$	−8.90972	+	33.2515i	−0.420476	+	1.56924i	0.353133	+	0.935573i	$0.385116\pi$
$449$	−8.90972	+	33.2515i	−0.420476	+	1.56924i	−0.773609	+	0.633664i	$0.781550\pi$
$450$	1.91694	−	1.10675i	0.0903656	−	0.0521726i
$451$	15.3003	−	4.09971i	0.720464	−	0.193048i
$452$	−0.197644	−	0.737618i	−0.00929640	−	0.0346946i
$453$	0.780919	−	2.91443i	0.0366908	−	0.136932i
$454$	1.63925	−	2.83927i	0.0769340	−	0.133254i
$455$	14.8620	−	14.8620i	0.696741	−	0.696741i
$456$	1.53779	−	2.66354i	0.0720138	−	0.124732i
$457$	20.7020	+	11.9523i	0.968398	+	0.559105i	0.898747	−	0.438467i	$-0.144478\pi$
$457$	20.7020	+	11.9523i	0.968398	+	0.559105i	0.0696502	+	0.997571i	$0.477812\pi$
$458$	−4.07090	−	15.1928i	−0.190221	−	0.709913i
$459$	−14.2586	−	14.2586i	−0.665534	−	0.665534i
$460$	0.353870	+	0.353870i	0.0164993	+	0.0164993i
$461$	21.3722	−	12.3393i	0.995405	−	0.574697i	0.0885193	−	0.996074i	$-0.471787\pi$
$461$	21.3722	−	12.3393i	0.995405	−	0.574697i	0.906885	+	0.421377i	$0.138453\pi$
$462$			9.84724i			0.458135i
$463$	−4.51528	−	2.60690i	−0.209843	−	0.121153i	0.391395	−	0.920223i	$-0.371992\pi$
$463$	−4.51528	−	2.60690i	−0.209843	−	0.121153i	−0.601238	+	0.799070i	$0.705326\pi$
$464$	−6.35046	+	23.7003i	−0.294813	+	1.10026i
$465$		−	0.430621i		−	0.0199696i
$466$	11.8176	+	3.16652i	0.547440	+	0.146686i
$467$	7.19433	−	1.92771i	0.332914	−	0.0892040i	−0.0884901	−	0.996077i	$-0.528204\pi$
$467$	7.19433	−	1.92771i	0.332914	−	0.0892040i	0.421404	+	0.906873i	$0.361537\pi$
$468$	0.561022	+	0.561022i	0.0259333	+	0.0259333i
$469$	37.5255	−	10.0549i	1.73277	−	0.464293i
$470$	−4.60647	−	7.97864i	−0.212481	−	0.368027i
$471$	−8.44707	−	2.26339i	−0.389220	−	0.104291i
$472$	−6.63576	−	24.7650i	−0.305436	−	1.13990i
$473$	26.0622	−	15.0470i	1.19834	−	0.691864i
$474$	−3.24796	−	5.62563i	−0.149184	−	0.258394i
$475$	0.666600	+	1.15459i	0.0305857	+	0.0529760i
$476$	2.13485	−	1.23256i	0.0978509	−	0.0564942i
$477$	−8.07474	−	30.1354i	−0.369717	−	1.37980i
$478$	22.4945	+	6.02738i	1.02887	+	0.275686i
$479$	1.19867	+	2.07615i	0.0547685	+	0.0948618i	0.892110	−	0.451819i	$-0.149225\pi$
$479$	1.19867	+	2.07615i	0.0547685	+	0.0948618i	−0.837341	+	0.546680i	$0.815891\pi$
$480$	0.508701	−	0.136306i	0.0232189	−	0.00622149i
$481$	−12.2495	−	12.2495i	−0.558530	−	0.558530i
$482$	−20.5611	+	5.50934i	−0.936534	+	0.250944i
$483$	−3.68050	−	0.986187i	−0.167469	−	0.0448731i
$484$			0.802593i			0.0364815i
$485$	−5.52349	+	20.6139i	−0.250809	+	0.936030i
$486$	14.1021	+	8.14185i	0.639684	+	0.369322i
$487$		−	12.8811i		−	0.583698i	−0.956464	−	0.291849i	$-0.905729\pi$
$487$		−	12.8811i		−	0.583698i	0.956464	−	0.291849i	$-0.0942705\pi$
$488$	19.8762	−	11.4756i	0.899756	−	0.519474i
$489$	−3.86435	−	3.86435i	−0.174752	−	0.174752i
$490$	9.44072	+	9.44072i	0.426488	+	0.426488i
$491$	6.57748	+	24.5475i	0.296837	+	1.10781i	0.939747	+	0.341870i	$0.111060\pi$
$491$	6.57748	+	24.5475i	0.296837	+	1.10781i	−0.642910	+	0.765942i	$0.722273\pi$
$492$	−0.137766	−	0.0795390i	−0.00621095	−	0.00358589i
$493$	−22.2683	+	38.5699i	−1.00292	+	1.73710i
$494$	−7.35736	+	7.35736i	−0.331023	+	0.331023i
$495$	12.9412	−	22.4148i	0.581664	−	1.00747i
$496$	0.481745	−	1.79790i	0.0216310	−	0.0807279i
$497$	6.18526	+	23.0837i	0.277447	+	1.03544i
$498$	−5.03692	+	1.34964i	−0.225710	+	0.0604787i
$499$	9.21868	−	5.32241i	0.412685	−	0.238264i	−0.279258	−	0.960216i	$-0.590088\pi$
$499$	9.21868	−	5.32241i	0.412685	−	0.238264i	0.691943	+	0.721952i	$0.256755\pi$
$500$	−0.291699	+	1.08864i	−0.0130452	+	0.0486853i
$501$	−0.112703	+	0.112703i	−0.00503518	+	0.00503518i
$502$	−6.48955			−0.289643
$503$	16.5395			0.737458			0.368729	−	0.929537i	$-0.379793\pi$
$503$	16.5395			0.737458			0.368729	+	0.929537i	$0.379793\pi$
$504$	18.3334	−	18.3334i	0.816636	−	0.816636i
$505$	7.61191	+	4.39474i	0.338726	+	0.195563i
$506$	−15.1500	−	4.05944i	−0.673502	−	0.180464i
$507$	0.980020	+	1.69745i	0.0435242	+	0.0753862i
$508$		−	1.41141i		−	0.0626211i
$509$	−14.7969	+	25.6291i	−0.655863	+	1.13599i	0.325814	+	0.945434i	$0.394362\pi$
$509$	−14.7969	+	25.6291i	−0.655863	+	1.13599i	−0.981677	+	0.190554i	$0.938972\pi$
$510$	10.6400			0.471148
$511$	−27.6319	+	8.15564i	−1.22236	+	0.360784i
$512$	−20.7845			−0.918553
$513$	−3.23012	+	5.59474i	−0.142613	+	0.247014i
$514$		−	26.1996i		−	1.15562i
$515$	−5.80208	−	10.0495i	−0.255670	−	0.442834i
$516$	−0.291930	−	0.0782223i	−0.0128515	−	0.00344355i
$517$	11.4846	+	6.63063i	0.505091	+	0.291615i
$518$	20.2443	−	20.2443i	0.889482	−	0.889482i
$519$	−4.60168			−0.201991
$520$	17.1804			0.753409
$521$	23.7152	−	23.7152i	1.03898	−	1.03898i	0.0397719	−	0.999209i	$-0.487337\pi$
$521$	23.7152	−	23.7152i	1.03898	−	1.03898i	0.999209	−	0.0397719i	$-0.0126631\pi$
$522$	6.13134	−	22.8825i	0.268361	−	1.00154i
$523$	−18.1084	+	10.4549i	−0.791826	+	0.457161i	−0.840605	−	0.541649i	$-0.817800\pi$
$523$	−18.1084	+	10.4549i	−0.791826	+	0.457161i	0.0487790	+	0.998810i	$0.484467\pi$
$524$	−0.863539	+	0.231385i	−0.0377239	+	0.0101081i
$525$	−0.219387	−	0.818764i	−0.00957485	−	0.0357338i
$526$	−10.4295	+	38.9236i	−0.454749	+	1.69715i
$527$	1.68927	−	2.92590i	0.0735858	−	0.127454i
$528$	−5.96630	+	5.96630i	−0.259650	+	0.259650i
$529$	−8.46549	+	14.6627i	−0.368065	+	0.637507i
$530$	29.5883	+	17.0828i	1.28523	+	0.742030i
$531$	6.71592	+	25.0642i	0.291446	+	1.08769i
$532$	−0.558445	−	0.558445i	−0.0242117	−	0.0242117i
$533$	−7.52461	−	7.52461i	−0.325927	−	0.325927i
$534$	−4.19345	+	2.42109i	−0.181468	+	0.104771i
$535$		−	9.74953i		−	0.421509i
$536$	27.5013	+	15.8779i	1.18788	+	0.685821i
$537$	3.06924	−	11.4546i	0.132448	−	0.494301i
$538$		−	13.7134i		−	0.591229i
$539$	−18.5631	−	4.97396i	−0.799569	−	0.214244i
$540$	−0.521085	+	0.139624i	−0.0224239	+	0.00600847i
$541$	7.50859	+	7.50859i	0.322819	+	0.322819i	0.849848	−	0.527028i	$-0.176694\pi$
$541$	7.50859	+	7.50859i	0.322819	+	0.322819i	−0.527028	+	0.849848i	$0.676694\pi$
$542$	−38.3687	+	10.2809i	−1.64808	+	0.441601i
$543$	0.399704	+	0.692308i	0.0171529	+	0.0297098i
$544$	3.99114	+	1.06942i	0.171119	+	0.0458511i
$545$	−1.96163	−	7.32092i	−0.0840272	−	0.313594i
$546$	5.72911	−	3.30770i	0.245183	−	0.141557i
$547$	−3.27560	−	5.67350i	−0.140054	−	0.242581i	0.787462	−	0.616363i	$-0.211394\pi$
$547$	−3.27560	−	5.67350i	−0.140054	−	0.242581i	−0.927517	+	0.373781i	$0.878061\pi$
$548$	0.990257	+	1.71518i	0.0423017	+	0.0732687i
$549$	−20.1164	+	11.6142i	−0.858545	+	0.495681i
$550$	−0.903064	−	3.37028i	−0.0385068	−	0.143709i
$551$	13.7822	+	3.69294i	0.587143	+	0.157324i
$552$	−1.55730	−	2.69733i	−0.0662833	−	0.114806i
$553$	31.8590	−	8.53658i	1.35478	−	0.363013i
$554$	14.7750	+	14.7750i	0.627731	+	0.627731i
$555$	5.48202	−	1.46890i	0.232699	−	0.0623515i
$556$	0.483860	+	0.129650i	0.0205202	+	0.00549838i
$557$		−	6.26449i		−	0.265435i	−0.991154	−	0.132717i	$-0.957630\pi$
$557$		−	6.26449i		−	0.265435i	0.991154	−	0.132717i	$-0.0423703\pi$
$558$	−0.465122	+	1.73586i	−0.0196902	+	0.0734848i
$559$	−17.5087	−	10.1087i	−0.740539	−	0.427551i
$560$			29.7633i			1.25773i
$561$	−13.2635	+	7.65771i	−0.559987	+	0.323309i
$562$	3.12241	+	3.12241i	0.131711	+	0.131711i
$563$	22.6704	+	22.6704i	0.955444	+	0.955444i	0.999049	−	0.0436048i	$-0.0138842\pi$
$563$	22.6704	+	22.6704i	0.955444	+	0.955444i	−0.0436048	+	0.999049i	$0.513884\pi$
$564$	−0.0344694	−	0.128642i	−0.00145142	−	0.00541679i
$565$	14.4934	+	8.36777i	0.609742	+	0.352035i
$566$	−9.45843	+	16.3825i	−0.397567	+	0.688607i
$567$	−17.0499	+	17.0499i	−0.716030	+	0.716030i
$568$	−9.76724	+	16.9174i	−0.409824	+	0.709836i
$569$	0.889757	−	3.32062i	0.0373006	−	0.139208i	−0.944764	−	0.327750i	$-0.893710\pi$
$569$	0.889757	−	3.32062i	0.0373006	−	0.139208i	0.982065	+	0.188542i	$0.0603763\pi$
$570$	−0.882260	−	3.29264i	−0.0369538	−	0.137913i
$571$	−39.5059	+	10.5856i	−1.65327	+	0.442993i	−0.960526	−	0.278190i	$-0.910266\pi$
$571$	−39.5059	+	10.5856i	−1.65327	+	0.442993i	−0.692745	+	0.721182i	$0.743599\pi$
$572$	1.08310	−	0.625329i	0.0452867	−	0.0261463i
$573$	0.932587	−	3.48046i	0.0389594	−	0.145398i
$574$	12.4356	−	12.4356i	0.519053	−	0.519053i
$575$	1.35012			0.0563037
$576$	21.1416			0.880900
$577$	−24.1649	+	24.1649i	−1.00600	+	1.00600i	−0.00601698	+	0.999982i	$0.501915\pi$
$577$	−24.1649	+	24.1649i	−1.00600	+	1.00600i	−0.999982	+	0.00601698i	$0.998085\pi$
$578$	50.9790	+	29.4327i	2.12045	+	1.22424i
$579$	0.414919	+	0.111177i	0.0172434	+	0.00462036i
$580$	0.595746	+	1.03186i	0.0247370	+	0.0428457i
$581$		−	26.4770i		−	1.09845i
$582$	−3.35855	+	5.81718i	−0.139216	+	0.241130i
$583$	−49.1786			−2.03677
$584$	−20.6851	−	11.2572i	−0.855956	−	0.465828i
$585$	−17.3879			−0.718901
$586$	1.32619	−	2.29703i	0.0547844	−	0.0948894i
$587$			16.6925i			0.688973i	0.938791	+	0.344487i	$0.111947\pi$
$587$			16.6925i			0.688973i	−0.938791	+	0.344487i	$0.888053\pi$
$588$	0.0965005	+	0.167144i	0.00397962	+	0.00689290i
$589$	−1.04552	−	0.280145i	−0.0430798	−	0.0115432i
$590$	−24.6092	−	14.2081i	−1.01314	−	0.584939i
$591$	−3.18276	+	3.18276i	−0.130921	+	0.130921i
$592$	24.5314			1.00824
$593$	5.00508			0.205534			0.102767	−	0.994705i	$-0.467230\pi$
$593$	5.00508			0.205534			0.102767	+	0.994705i	$0.467230\pi$
$594$	11.9553	−	11.9553i	0.490532	−	0.490532i
$595$	−13.9825	+	52.1835i	−0.573228	+	2.13932i
$596$	−0.184594	+	0.106576i	−0.00756128	+	0.00436551i
$597$	10.9764	−	2.94111i	0.449232	−	0.120371i
$598$	2.72715	+	10.1779i	0.111521	+	0.416203i
$599$	6.88261	−	25.6863i	0.281216	−	1.04951i	−0.670345	−	0.742050i	$-0.733854\pi$
$599$	6.88261	−	25.6863i	0.281216	−	1.04951i	0.951560	−	0.307462i	$-0.0994796\pi$
$600$	0.346438	−	0.600048i	0.0141433	−	0.0244969i
$601$	10.0533	−	10.0533i	0.410082	−	0.410082i	−0.471685	−	0.881767i	$-0.656354\pi$
$601$	10.0533	−	10.0533i	0.410082	−	0.410082i	0.881767	+	0.471685i	$0.156354\pi$
$602$	16.7062	−	28.9359i	0.680893	−	1.17934i
$603$	−27.8335	−	16.0697i	−1.13347	−	0.654409i
$604$	−0.163913	−	0.611731i	−0.00666952	−	0.0248910i
$605$	−12.4375	−	12.4375i	−0.505655	−	0.505655i
$606$	1.95620	+	1.95620i	0.0794651	+	0.0794651i
$607$	11.4604	−	6.61666i	0.465163	−	0.268562i	−0.249050	−	0.968491i	$-0.580118\pi$
$607$	11.4604	−	6.61666i	0.465163	−	0.268562i	0.714213	+	0.699929i	$0.246785\pi$
$608$		−	1.32377i		−	0.0536858i
$609$	−7.85645	−	4.53592i	−0.318359	−	0.183805i
$610$	6.58373	−	24.5708i	0.266567	−	0.994843i
$611$		−	8.90895i		−	0.360418i
$612$	−1.96987	−	0.527824i	−0.0796271	−	0.0213360i
$613$	3.87876	−	1.03931i	0.156662	−	0.0419774i	−0.179636	−	0.983733i	$-0.557492\pi$
$613$	3.87876	−	1.03931i	0.156662	−	0.0419774i	0.336298	+	0.941756i	$0.390825\pi$
$614$	12.7451	+	12.7451i	0.514349	+	0.514349i
$615$	3.36749	−	0.902315i	0.135790	−	0.0363849i
$616$	−20.4349	−	35.3942i	−0.823345	−	1.42607i
$617$	−13.8216	−	3.70350i	−0.556438	−	0.149097i	−0.0303688	−	0.999539i	$-0.509668\pi$
$617$	−13.8216	−	3.70350i	−0.556438	−	0.149097i	−0.526070	+	0.850442i	$0.676335\pi$
$618$	−0.945311	−	3.52795i	−0.0380260	−	0.141915i
$619$	6.43882	−	3.71746i	0.258798	−	0.149417i	−0.364988	−	0.931012i	$-0.618927\pi$
$619$	6.43882	−	3.71746i	0.258798	−	0.149417i	0.623786	+	0.781595i	$0.285594\pi$
$620$	−0.0451931	−	0.0782768i	−0.00181500	−	0.00314367i
$621$	3.27111	+	5.66572i	0.131265	+	0.227358i
$622$	26.0291	−	15.0279i	1.04367	−	0.602565i
$623$	−6.36333	−	23.7483i	−0.254942	−	0.951455i
$624$	5.47527	+	1.46710i	0.219186	+	0.0587308i
$625$	−10.9797	−	19.0174i	−0.439189	−	0.760698i
$626$	−36.2356	+	9.70929i	−1.44826	+	0.388061i
$627$	3.46954	+	3.46954i	0.138560	+	0.138560i
$628$	−1.77302	+	0.475079i	−0.0707512	+	0.0189577i
$629$	43.0106	+	11.5246i	1.71494	+	0.459518i
$630$		−	28.7363i		−	1.14488i
$631$	3.09427	−	11.5480i	0.123181	−	0.459718i	−0.876587	−	0.481243i	$-0.840185\pi$
$631$	3.09427	−	11.5480i	0.123181	−	0.459718i	0.999768	+	0.0215250i	$0.00685216\pi$
$632$	23.3485	+	13.4803i	0.928753	+	0.536216i
$633$			5.49454i			0.218388i
$634$	0.361479	−	0.208700i	0.0143562	−	0.00828854i
$635$	21.8721	+	21.8721i	0.867966	+	0.867966i
$636$	0.349232	+	0.349232i	0.0138480	+	0.0138480i
$637$	3.34153	+	12.4707i	0.132396	+	0.494109i
$638$	−32.3395	−	18.6712i	−1.28033	−	0.739200i
$639$	9.88523	−	17.1217i	0.391054	−	0.677325i
$640$	−17.9949	+	17.9949i	−0.711312	+	0.711312i
$641$	−12.0797	+	20.9226i	−0.477119	+	0.826395i	−0.999656	−	0.0262221i	$-0.991652\pi$
$641$	−12.0797	+	20.9226i	−0.477119	+	0.826395i	0.522537	+	0.852617i	$0.324986\pi$
$642$	0.794227	−	2.96409i	0.0313456	−	0.116983i
$643$	−11.7270	−	43.7659i	−0.462470	−	1.72596i	−0.665145	−	0.746714i	$-0.731630\pi$
$643$	−11.7270	−	43.7659i	−0.462470	−	1.72596i	0.202676	−	0.979246i	$-0.435036\pi$
$644$	−0.772528	+	0.206998i	−0.0304419	+	0.00815688i
$645$	5.73611	−	3.31174i	0.225859	−	0.130400i
$646$	6.92199	−	25.8332i	0.272342	−	1.01639i
$647$	−26.1950	+	26.1950i	−1.02983	+	1.02983i	−0.0302903	+	0.999541i	$0.509643\pi$
$647$	−26.1950	+	26.1950i	−1.02983	+	1.02983i	−0.999541	+	0.0302903i	$0.990357\pi$
$648$	−19.7096			−0.774267
$649$	40.9028			1.60557
$650$	−1.65748	+	1.65748i	−0.0650119	+	0.0650119i
$651$	0.595988	+	0.344094i	0.0233586	+	0.0134861i
$652$	−1.10801	−	0.296889i	−0.0433929	−	0.0116271i
$653$	−15.9965	−	27.7067i	−0.625991	−	1.08425i	−0.988348	−	0.152208i	$-0.951362\pi$
$653$	−15.9965	−	27.7067i	−0.625991	−	1.08425i	0.362358	−	0.932039i	$-0.381972\pi$
$654$		−	2.38554i		−	0.0932820i
$655$	9.79626	−	16.9676i	0.382772	−	0.662980i
$656$	15.0691			0.588350
$657$	20.9350	+	11.3932i	0.816751	+	0.444492i
$658$	14.7235			0.573981
$659$	−19.6482	+	34.0316i	−0.765384	+	1.32568i	0.174659	+	0.984629i	$0.444118\pi$
$659$	−19.6482	+	34.0316i	−0.765384	+	1.32568i	−0.940043	+	0.341055i	$0.889216\pi$
$660$			0.409734i			0.0159489i
$661$	−8.62170	−	14.9332i	−0.335345	−	0.580835i	0.648206	−	0.761465i	$-0.275520\pi$
$661$	−8.62170	−	14.9332i	−0.335345	−	0.580835i	−0.983551	+	0.180630i	$0.942186\pi$
$662$	−22.7884	−	6.10614i	−0.885697	−	0.237322i
$663$	8.91049	+	5.14447i	0.346055	+	0.199795i
$664$	15.3036	−	15.3036i	0.593895	−	0.593895i
$665$	17.3080			0.671176
$666$	−23.6850			−0.917773
$667$	10.2173	−	10.2173i	0.395615	−	0.395615i
$668$	−0.00865870	+	0.0323147i	−0.000335015	+	0.00125029i
$669$	10.6014	−	6.12072i	0.409873	−	0.236641i
$670$	33.9968	−	9.10943i	1.31341	−	0.351928i
$671$	9.47673	+	35.3676i	0.365845	+	1.36535i
$672$	−0.217835	+	0.812970i	−0.00840315	+	0.0313610i
$673$	−1.79378	+	3.10692i	−0.0691452	+	0.119763i	−0.898525	−	0.438922i	$-0.855361\pi$
$673$	−1.79378	+	3.10692i	−0.0691452	+	0.119763i	0.829380	+	0.558685i	$0.188694\pi$
$674$	−13.9911	+	13.9911i	−0.538916	+	0.538916i
$675$	−0.727690	+	1.26040i	−0.0280088	+	0.0485127i
$676$	0.356290	+	0.205704i	0.0137034	+	0.00791169i
$677$	−5.35549	−	19.9870i	−0.205828	−	0.768162i	−0.989195	−	0.146602i	$-0.953166\pi$
$677$	−5.35549	−	19.9870i	−0.205828	−	0.768162i	0.783367	−	0.621559i	$-0.213500\pi$
$678$	3.72469	+	3.72469i	0.143046	+	0.143046i
$679$	−24.1165	−	24.1165i	−0.925506	−	0.925506i
$680$	−38.2438	+	22.0800i	−1.46658	+	0.846731i
$681$			1.03865i			0.0398010i
$682$	2.45327	+	1.41639i	0.0939404	+	0.0542365i
$683$	−3.53187	+	13.1811i	−0.135143	+	0.504362i	0.864854	+	0.502024i	$0.167411\pi$
$683$	−3.53187	+	13.1811i	−0.135143	+	0.504362i	−0.999997	+	0.00233834i	$0.999256\pi$
$684$			0.653357i			0.0249817i
$685$	−41.9251	−	11.2338i	−1.60187	−	0.429221i
$686$	12.4007	−	3.32277i	0.473462	−	0.126864i
$687$	3.52347	+	3.52347i	0.134429	+	0.134429i
$688$	27.6539	−	7.40984i	1.05429	−	0.282497i
$689$	16.5192	+	28.6120i	0.629330	+	1.09003i
$690$	−3.33441	−	0.893453i	−0.126939	−	0.0340132i
$691$	−9.36583	−	34.9538i	−0.356293	−	1.32970i	−0.878850	−	0.477099i	$-0.841688\pi$
$691$	−9.36583	−	34.9538i	−0.356293	−	1.32970i	0.522557	−	0.852605i	$-0.324978\pi$
$692$	−0.836478	+	0.482941i	−0.0317981	+	0.0183586i
$693$	20.6817	+	35.8218i	0.785634	+	1.36076i
$694$	−8.31945	−	14.4097i	−0.315802	−	0.546985i
$695$	−9.50732	+	5.48906i	−0.360633	+	0.208212i
$696$	−1.91925	−	7.16275i	−0.0727491	−	0.271503i
$697$	26.4205	+	7.07934i	1.00075	+	0.268149i
$698$	−6.20104	−	10.7405i	−0.234713	−	0.406535i
$699$	−3.74387	+	1.00317i	−0.141606	+	0.0379433i
$700$	−0.125808	−	0.125808i	−0.00475509	−	0.00475509i
$701$	−6.18520	+	1.65732i	−0.233612	+	0.0625961i	−0.373726	−	0.927539i	$-0.621920\pi$
$701$	−6.18520	+	1.65732i	−0.233612	+	0.0625961i	0.140114	+	0.990135i	$0.455253\pi$
$702$	−10.9714	−	2.93978i	−0.414089	−	0.110955i
$703$		−	14.2656i		−	0.538036i
$704$	8.62537	−	32.1903i	0.325081	−	1.21322i
$705$	2.52767	+	1.45935i	0.0951976	+	0.0549624i
$706$		−	10.0393i		−	0.377835i
$707$	−12.1648	+	7.02336i	−0.457505	+	0.264141i
$708$	−0.290463	−	0.290463i	−0.0109163	−	0.0109163i
$709$	−12.4125	−	12.4125i	−0.466160	−	0.466160i	0.434508	−	0.900668i	$-0.356922\pi$
$709$	−12.4125	−	12.4125i	−0.466160	−	0.466160i	−0.900668	+	0.434508i	$0.856922\pi$
$710$	5.60364	+	20.9131i	0.210301	+	0.784853i
$711$	−23.6306	−	13.6431i	−0.886215	−	0.511656i
$712$	10.0484	−	17.4044i	0.376581	−	0.652258i
$713$	−0.775082	+	0.775082i	−0.0290271	+	0.0290271i
$714$	−8.50206	+	14.7260i	−0.318182	+	0.551107i
$715$	−7.09393	+	26.4749i	−0.265298	+	0.990105i
$716$	−0.644227	−	2.40429i	−0.0240759	−	0.0898524i
$717$	−7.12636	+	1.90950i	−0.266139	+	0.0713117i
$718$	4.42687	−	2.55585i	0.165209	−	0.0953836i
$719$	−4.67032	+	17.4299i	−0.174173	+	0.650024i	0.822518	+	0.568740i	$0.192569\pi$
$719$	−4.67032	+	17.4299i	−0.174173	+	0.650024i	−0.996691	+	0.0812843i	$0.974098\pi$
$720$	17.4109	−	17.4109i	0.648866	−	0.648866i
$721$	18.5449			0.690650
$722$	18.9409			0.704909
$723$	4.76848	−	4.76848i	0.177342	−	0.177342i
$724$	0.145314	+	0.0838969i	0.00540054	+	0.00311800i
$725$	3.10490	+	0.831954i	0.115313	+	0.0308980i
$726$	−2.76810	−	4.79449i	−0.102734	−	0.177940i
$727$			6.39423i			0.237149i	0.992945	+	0.118574i	$0.0378324\pi$
$727$			6.39423i			0.237149i	−0.992945	+	0.118574i	$0.962168\pi$
$728$	−13.7282	+	23.7780i	−0.508802	+	0.881270i
$729$	16.2934			0.603460
$730$	−25.0336	+	7.38874i	−0.926536	+	0.273470i
$731$	51.9662			1.92204
$732$	0.183859	−	0.318454i	0.00679563	−	0.0117704i
$733$			50.5359i			1.86659i	0.359114	+	0.933294i	$0.383079\pi$
$733$			50.5359i			1.86659i	−0.359114	+	0.933294i	$0.616921\pi$
$734$	14.2751	+	24.7251i	0.526902	+	0.912621i
$735$	−4.08560	−	1.09473i	−0.150700	−	0.0403798i
$736$	−1.16096	−	0.670280i	−0.0427935	−	0.0247069i
$737$	−35.8233	+	35.8233i	−1.31957	+	1.31957i
$738$	−14.5491			−0.535562
$739$	−36.6513			−1.34824			−0.674120	−	0.738622i	$-0.735477\pi$
$739$	−36.6513			−1.34824			−0.674120	+	0.738622i	$0.735477\pi$
$740$	0.842344	−	0.842344i	0.0309652	−	0.0309652i
$741$	0.853149	−	3.18400i	0.0313412	−	0.116967i
$742$	−47.2860	+	27.3006i	−1.73592	+	1.00224i
$743$	21.7572	−	5.82983i	0.798195	−	0.213876i	0.163403	−	0.986559i	$-0.447753\pi$
$743$	21.7572	−	5.82983i	0.798195	−	0.213876i	0.634791	+	0.772684i	$0.281086\pi$
$744$	0.145594	+	0.543364i	0.00533774	+	0.0199207i
$745$	1.20903	−	4.51215i	0.0442953	−	0.165312i
$746$	−5.68192	+	9.84138i	−0.208030	+	0.360319i
$747$	−15.4885	+	15.4885i	−0.566694	+	0.566694i
$748$	−1.60733	+	2.78398i	−0.0587700	+	0.101793i
$749$	13.4935	+	7.79050i	0.493043	+	0.284659i
$750$	−2.01211	−	7.50930i	−0.0734719	−	0.274201i
$751$	9.31701	+	9.31701i	0.339983	+	0.339983i	0.856361	−	0.516378i	$-0.172720\pi$
$751$	9.31701	+	9.31701i	0.339983	+	0.339983i	−0.516378	+	0.856361i	$0.672720\pi$
$752$	8.92074	+	8.92074i	0.325306	+	0.325306i
$753$	1.78048	−	1.02796i	0.0648842	−	0.0374609i
$754$			25.0868i			0.913606i
$755$	12.0199	+	6.93968i	0.437448	+	0.252561i
$756$	0.223138	−	0.832761i	0.00811543	−	0.0302872i
$757$			38.2841i			1.39146i	0.718304	+	0.695729i	$0.244919\pi$
$757$			38.2841i			1.39146i	−0.718304	+	0.695729i	$0.755081\pi$
$758$	42.9259	+	11.5020i	1.55914	+	0.417770i
$759$	4.79961	−	1.28605i	0.174215	−	0.0466807i
$760$	10.0040	+	10.0040i	0.362883	+	0.362883i
$761$	3.68775	−	0.988129i	0.133681	−	0.0358197i	−0.191358	−	0.981520i	$-0.561289\pi$
$761$	3.68775	−	0.988129i	0.133681	−	0.0358197i	0.325039	+	0.945701i	$0.394623\pi$
$762$	4.86788	+	8.43141i	0.176345	+	0.305438i
$763$	11.6998	+	3.13495i	0.423560	+	0.113493i
$764$	−0.195748	−	0.730541i	−0.00708191	−	0.0264300i
$765$	38.7058	−	22.3468i	1.39941	−	0.807949i
$766$	9.73828	+	16.8672i	0.351858	+	0.609437i
$767$	−13.7393	−	23.7972i	−0.496098	−	0.859267i
$768$	−0.915778	+	0.528725i	−0.0330453	+	0.0190787i
$769$	−2.63259	−	9.82497i	−0.0949338	−	0.354298i	0.902076	−	0.431578i	$-0.142043\pi$
$769$	−2.63259	−	9.82497i	−0.0949338	−	0.354298i	−0.997009	+	0.0772804i	$0.975376\pi$
$770$	−43.7540	−	11.7238i	−1.57678	−	0.422498i
$771$	4.15008	+	7.18815i	0.149461	+	0.258875i
$772$	0.0870904	−	0.0233358i	0.00313445	−	0.000839874i
$773$	−15.5945	−	15.5945i	−0.560896	−	0.560896i	0.368666	−	0.929562i	$-0.379815\pi$
$773$	−15.5945	−	15.5945i	−0.560896	−	0.560896i	−0.929562	+	0.368666i	$0.879815\pi$
$774$	−26.6997	+	7.15416i	−0.959700	+	0.257151i
$775$	−0.235537	−	0.0631119i	−0.00846073	−	0.00226704i
$776$		−	27.8785i		−	1.00078i
$777$	−2.34750	+	8.76098i	−0.0842160	+	0.314298i
$778$	34.9980	+	20.2061i	1.25474	+	0.724425i
$779$		−	8.76303i		−	0.313968i
$780$	0.238383	−	0.137630i	0.00853547	−	0.00492795i
$781$	−22.0366	−	22.0366i	−0.788532	−	0.788532i
$782$	−19.1512	−	19.1512i	−0.684844	−	0.684844i
$783$	4.03137	+	15.0453i	0.144070	+	0.537675i
$784$	−15.8332	−	9.14129i	−0.565471	−	0.326475i
$785$	20.1137	−	34.8379i	0.717889	−	1.24342i
$786$	4.36054	−	4.36054i	0.155535	−	0.155535i
$787$	3.40182	−	5.89212i	0.121262	−	0.210031i	−0.799004	−	0.601326i	$-0.794639\pi$
$787$	3.40182	−	5.89212i	0.121262	−	0.210031i	0.920265	+	0.391295i	$0.127973\pi$
$788$	−0.244524	+	0.912577i	−0.00871082	+	0.0325092i
$789$	−3.30413	−	12.3312i	−0.117630	−	0.439001i
$790$	28.8632	−	7.73386i	1.02691	−	0.275159i
$791$	−23.1623	+	13.3728i	−0.823558	+	0.475481i
$792$	−8.75092	+	32.6589i	−0.310950	+	1.16048i
$793$	17.3936	−	17.3936i	0.617665	−	0.617665i
$794$	−11.3229			−0.401835
$795$	−10.8238			−0.383882
$796$	1.68658	−	1.68658i	0.0597792	−	0.0597792i
$797$	23.4686	+	13.5496i	0.831300	+	0.479951i	0.854298	−	0.519784i	$-0.173988\pi$
$797$	23.4686	+	13.5496i	0.831300	+	0.479951i	−0.0229975	+	0.999736i	$0.507321\pi$
$798$	5.26206	+	1.40997i	0.186275	+	0.0499122i
$799$	11.4497	+	19.8315i	0.405062	+	0.701587i
$800$		−	0.298221i		−	0.0105437i
$801$	−10.1698	+	17.6147i	−0.359333	+	0.622383i
$802$	20.1785			0.712527
$803$	25.8884	−	27.2275i	0.913583	−	0.960837i
$804$	0.508785			0.0179435
$805$	8.76381	−	15.1794i	0.308884	−	0.535002i
$806$		−	1.90308i		−	0.0670330i
$807$	2.17224	+	3.76243i	0.0764666	+	0.132444i
$808$	−11.0907	−	2.97175i	−0.390170	−	0.104546i
$809$	−20.7452	−	11.9773i	−0.729363	−	0.421098i	0.0888260	−	0.996047i	$-0.471688\pi$
$809$	−20.7452	−	11.9773i	−0.729363	−	0.421098i	−0.818189	+	0.574949i	$0.805022\pi$
$810$	−15.4467	+	15.4467i	−0.542741	+	0.542741i
$811$	16.7236			0.587246			0.293623	−	0.955921i	$-0.405139\pi$
$811$	16.7236			0.587246			0.293623	+	0.955921i	$0.405139\pi$
$812$	−1.90416			−0.0668228
$813$	8.89836	−	8.89836i	0.312079	−	0.312079i
$814$	−9.66300	+	36.0628i	−0.338688	+	1.26400i
$815$	21.7711	−	12.5696i	0.762610	−	0.440293i
$816$	−14.0735	+	3.77100i	−0.492673	+	0.132011i
$817$	−4.30899	−	16.0814i	−0.150752	−	0.562616i
$818$	0.834862	−	3.11575i	0.0291903	−	0.108940i
$819$	13.8941	−	24.0652i	0.485498	−	0.840907i
$820$	0.517433	−	0.517433i	0.0180696	−	0.0180696i
$821$	3.68494	−	6.38251i	0.128605	−	0.222751i	−0.794531	−	0.607223i	$-0.792283\pi$
$821$	3.68494	−	6.38251i	0.128605	−	0.222751i	0.923136	+	0.384472i	$0.125617\pi$
$822$	−11.8311	−	6.83069i	−0.412657	−	0.238248i
$823$	5.89130	+	21.9866i	0.205358	+	0.766406i	0.989340	+	0.145623i	$0.0465186\pi$
$823$	5.89130	+	21.9866i	0.205358	+	0.766406i	−0.783982	+	0.620783i	$0.786815\pi$
$824$	10.7189	+	10.7189i	0.373411	+	0.373411i
$825$	0.781626	+	0.781626i	0.0272127	+	0.0272127i
$826$	39.3287	−	22.7064i	1.36842	−	0.790057i
$827$		−	43.1859i		−	1.50172i	−0.660461	−	0.750860i	$-0.729639\pi$
$827$		−	43.1859i		−	1.50172i	0.660461	−	0.750860i	$-0.270361\pi$
$828$	0.573003	+	0.330823i	0.0199132	+	0.0114969i
$829$	−7.66244	+	28.5966i	−0.266128	+	0.993202i	0.695429	+	0.718595i	$0.255214\pi$
$829$	−7.66244	+	28.5966i	−0.266128	+	0.993202i	−0.961557	+	0.274607i	$0.911452\pi$
$830$		−	23.9873i		−	0.832610i
$831$	−6.39410	−	1.71329i	−0.221809	−	0.0594335i
$832$	−21.6256	+	5.79455i	−0.749731	+	0.200890i
$833$	−23.4656	−	23.4656i	−0.813034	−	0.813034i
$834$	−3.33761	+	0.894311i	−0.115572	+	0.0309675i
$835$	−0.366588	−	0.634949i	−0.0126863	−	0.0219733i
$836$	0.994805	+	0.266557i	0.0344060	+	0.00921907i
$837$	−0.305819	−	1.14133i	−0.0105707	−	0.0394502i
$838$	−4.13522	+	2.38747i	−0.142849	+	0.0824739i
$839$	−6.72795	−	11.6532i	−0.232275	−	0.402311i	0.726203	−	0.687481i	$-0.241283\pi$
$839$	−6.72795	−	11.6532i	−0.232275	−	0.402311i	−0.958477	+	0.285169i	$0.907950\pi$
$840$	−4.49757	−	7.79001i	−0.155181	−	0.268781i
$841$	4.67825	−	2.70099i	0.161319	−	0.0931376i
$842$	10.4157	+	38.8720i	0.358950	+	1.33962i
$843$	−1.35126	−	0.362070i	−0.0465400	−	0.0124703i
$844$	0.576645	+	0.998778i	0.0198489	+	0.0343794i
$845$	−8.70900	+	2.33357i	−0.299599	+	0.0802773i
$846$	−8.61292	−	8.61292i	−0.296118	−	0.296118i
$847$	27.1521	−	7.27538i	0.932956	−	0.249985i
$848$	−45.1909	−	12.1089i	−1.55186	−	0.415820i
$849$		−	5.99295i		−	0.205678i
$850$	1.55940	−	5.81977i	0.0534871	−	0.199616i
$851$	−12.5111	−	7.22328i	−0.428875	−	0.247611i
$852$			0.312978i			0.0107224i
$853$	26.8453	−	15.4991i	0.919166	−	0.530681i	0.0357968	−	0.999359i	$-0.488603\pi$
$853$	26.8453	−	15.4991i	0.919166	−	0.530681i	0.883369	+	0.468679i	$0.155270\pi$
$854$	28.7457	+	28.7457i	0.983657	+	0.983657i
$855$	−10.1248	−	10.1248i	−0.346262	−	0.346262i
$856$	3.29634	+	12.3021i	0.112667	+	0.420478i
$857$	−30.4026	−	17.5529i	−1.03853	−	0.599596i	−0.119114	−	0.992881i	$-0.538006\pi$
$857$	−30.4026	−	17.5529i	−1.03853	−	0.599596i	−0.919417	+	0.393284i	$0.871339\pi$
$858$	−4.31346	+	7.47112i	−0.147259	+	0.255060i
$859$	−14.9531	+	14.9531i	−0.510194	+	0.510194i	−0.914586	−	0.404392i	$-0.867483\pi$
$859$	−14.9531	+	14.9531i	−0.510194	+	0.510194i	0.404392	+	0.914586i	$0.367483\pi$
$860$	0.695127	−	1.20400i	0.0237036	−	0.0410559i
$861$	−1.44202	+	5.38168i	−0.0491438	+	0.183407i
$862$	3.52226	+	13.1453i	0.119969	+	0.447729i
$863$	−27.9133	+	7.47935i	−0.950180	+	0.254600i	−0.700439	−	0.713713i	$-0.747012\pi$
$863$	−27.9133	+	7.47935i	−0.950180	+	0.254600i	−0.249741	+	0.968313i	$0.580346\pi$
$864$	1.25148	−	0.722540i	0.0425761	−	0.0245813i
$865$	5.47863	−	20.4465i	0.186279	−	0.695203i
$866$	29.5984	−	29.5984i	1.00579	−	1.00579i
$867$	−18.6489			−0.633348
$868$	0.144449			0.00490292
$869$	−30.4139	+	30.4139i	−1.03172	+	1.03172i
$870$	−7.11768	−	4.10939i	−0.241312	−	0.139322i
$871$	32.8751	+	8.80886i	1.11393	+	0.298477i
$872$	4.95044	+	8.57442i	0.167643	+	0.290367i
$873$			28.2153i			0.954943i
$874$	−4.33848	+	7.51447i	−0.146751	+	0.254181i
$875$	39.4732			1.33444
$876$	−0.377193	+	0.00950899i	−0.0127442	+	0.000321279i
$877$	22.0797			0.745578			0.372789	−	0.927916i	$-0.378402\pi$
$877$	22.0797			0.745578			0.372789	+	0.927916i	$0.378402\pi$
$878$	22.5638	−	39.0816i	0.761491	−	1.31894i
$879$			0.840287i			0.0283422i
$880$	−19.4066	−	33.6132i	−0.654196	−	1.13310i
$881$	13.2230	+	3.54310i	0.445495	+	0.119370i	0.474591	−	0.880207i	$-0.342596\pi$
$881$	13.2230	+	3.54310i	0.445495	+	0.119370i	−0.0290957	+	0.999577i	$0.509263\pi$
$882$	15.2868	+	8.82587i	0.514735	+	0.297182i
$883$	6.14823	−	6.14823i	0.206904	−	0.206904i	−0.596046	−	0.802950i	$-0.703262\pi$
$883$	6.14823	−	6.14823i	0.206904	−	0.206904i	0.802950	+	0.596046i	$0.203262\pi$
$884$	2.15963			0.0726361
$885$	9.00240			0.302612
$886$	−6.94657	+	6.94657i	−0.233375	+	0.233375i
$887$	9.50169	−	35.4608i	0.319035	−	1.19066i	−0.601138	−	0.799145i	$-0.705286\pi$
$887$	9.50169	−	35.4608i	0.319035	−	1.19066i	0.920173	−	0.391511i	$-0.128048\pi$
$888$	−6.42066	+	3.70697i	−0.215463	+	0.124398i
$889$	−47.7486	+	12.7942i	−1.60144	+	0.429103i
$890$	−5.76497	−	21.5152i	−0.193242	−	0.721190i
$891$	8.13828	−	30.3725i	0.272643	−	1.01752i
$892$	1.28472	−	2.22521i	0.0430157	−	0.0745054i
$893$	5.18761	−	5.18761i	0.173597	−	0.173597i
$894$	0.735148	−	1.27331i	0.0245870	−	0.0425860i
$895$	47.2417	+	27.2750i	1.57912	+	0.911703i
$896$	−10.5262	−	39.2845i	−0.351657	−	1.31240i
$897$	−2.36042	−	2.36042i	−0.0788121	−	0.0788121i
$898$	−35.2434	−	35.2434i	−1.17609	−	1.17609i
$899$	−2.26009	+	1.30486i	−0.0753782	+	0.0435196i
$900$			0.147190i			0.00490633i
$901$	−73.5439	−	42.4606i	−2.45010	−	1.41457i
$902$	−5.93577	+	22.1526i	−0.197640	+	0.737601i
$903$			10.5852i			0.352253i
$904$	−21.1172	−	5.65833i	−0.702347	−	0.188193i
$905$	−3.55199	+	0.951753i	−0.118072	+	0.0316373i
$906$	3.08901	+	3.08901i	0.102625	+	0.102625i
$907$	−44.0700	+	11.8085i	−1.46332	+	0.392095i	−0.900635	−	0.434576i	$-0.856898\pi$
$907$	−44.0700	+	11.8085i	−1.46332	+	0.392095i	−0.562685	+	0.826671i	$0.690232\pi$
$908$	0.109005	+	0.188802i	0.00361745	+	0.00626560i
$909$	11.2247	+	3.00765i	0.372299	+	0.0997573i
$910$	7.87612	+	29.3941i	0.261091	+	0.974405i
$911$	−5.63714	+	3.25460i	−0.186767	+	0.107830i	−0.590468	−	0.807061i	$-0.701057\pi$
$911$	−5.63714	+	3.25460i	−0.186767	+	0.107830i	0.403701	+	0.914891i	$0.367723\pi$
$912$	2.33393	+	4.04248i	0.0772841	+	0.133860i
$913$	17.2638	+	29.9018i	0.571349	+	0.989606i
$914$	−29.9734	+	17.3052i	−0.991432	+	0.572404i
$915$	2.08576	+	7.78415i	0.0689530	+	0.257336i
$916$	1.01027	+	0.270701i	0.0333802	+	0.00894421i
$917$	15.6557	+	27.1165i	0.516997	+	0.895464i
$918$	28.2007	−	7.55635i	0.930761	−	0.249397i
$919$	−20.8290	−	20.8290i	−0.687086	−	0.687086i	0.274501	−	0.961587i	$-0.411487\pi$
$919$	−20.8290	−	20.8290i	−0.687086	−	0.687086i	−0.961587	+	0.274501i	$0.911487\pi$
$920$	13.8391	−	3.70817i	0.456261	−	0.122255i
$921$	−5.51560	−	1.47790i	−0.181745	−	0.0486985i
$922$			35.7309i			1.17673i
$923$	−5.41874	+	20.2230i	−0.178360	+	0.665649i
$924$	−0.567080	−	0.327404i	−0.0186556	−	0.0107708i
$925$		−	3.21378i		−	0.105669i
$926$	6.53746	−	3.77441i	0.214834	−	0.124035i
$927$	−10.8484	−	10.8484i	−0.356308	−	0.356308i
$928$	−2.25685	−	2.25685i	−0.0740849	−	0.0740849i
$929$	−0.289063	−	1.07880i	−0.00948386	−	0.0353943i	0.961022	−	0.276473i	$-0.0891655\pi$
$929$	−0.289063	−	1.07880i	−0.00948386	−	0.0353943i	−0.970506	+	0.241078i	$0.922499\pi$
$930$	0.539946	+	0.311738i	0.0177055	+	0.0102223i
$931$	−5.31587	+	9.20735i	−0.174221	+	0.301759i
$932$	−0.575267	+	0.575267i	−0.0188435	+	0.0188435i
$933$	−4.76092	+	8.24615i	−0.155865	+	0.269967i
$934$	−2.79105	+	10.4163i	−0.0913258	+	0.340833i
$935$	−18.2341	−	68.0506i	−0.596319	−	2.22549i
$936$	21.9403	−	5.87890i	0.717142	−	0.192158i
$937$	−7.22284	+	4.17011i	−0.235960	+	0.136231i	−0.613318	−	0.789836i	$-0.710166\pi$
$937$	−7.22284	+	4.17011i	−0.235960	+	0.136231i	0.377359	+	0.926067i	$0.376832\pi$
$938$	−14.5580	+	54.3314i	−0.475337	+	1.77398i
$939$	8.40365	−	8.40365i	0.274243	−	0.274243i
$940$	0.612629			0.0199818
$941$	−44.2258			−1.44172			−0.720860	−	0.693081i	$-0.756253\pi$
$941$	−44.2258			−1.44172			−0.720860	+	0.693081i	$0.756253\pi$
$942$	8.95306	−	8.95306i	0.291707	−	0.291707i
$943$	−7.68529	−	4.43710i	−0.250267	−	0.144492i
$944$	37.5861	+	10.0712i	1.22332	+	0.327789i
$945$	9.44710	+	16.3629i	0.307314	+	0.532284i
$946$			43.5718i			1.41664i
$947$	1.26277	−	2.18718i	0.0410345	−	0.0710738i	−0.844779	−	0.535116i	$-0.820268\pi$
$947$	1.26277	−	2.18718i	0.0410345	−	0.0710738i	0.885813	+	0.464042i	$0.153601\pi$
$948$	0.431956			0.0140293
$949$	−24.5369	−	5.91610i	−0.796501	−	0.192045i
$950$	−1.93028			−0.0626265
$951$	−0.0661172	+	0.114518i	−0.00214400	+	0.00371351i
$952$		−	70.5736i		−	2.28730i
$953$	−9.56647	−	16.5696i	−0.309888	−	0.536743i	0.668449	−	0.743758i	$-0.266958\pi$
$953$	−9.56647	−	16.5696i	−0.309888	−	0.536743i	−0.978338	+	0.207015i	$0.933625\pi$
$954$	43.6316	+	11.6910i	1.41262	+	0.378511i
$955$	14.3543	+	8.28748i	0.464496	+	0.268177i
$956$	−1.09501	+	1.09501i	−0.0354150	+	0.0354150i
$957$	11.8303			0.382418
$958$	−3.47099			−0.112142
$959$	49.0486	−	49.0486i	1.58386	−	1.58386i
$960$	1.89838	−	7.08485i	0.0612699	−	0.228663i
$961$	−26.6753	+	15.4010i	−0.860495	+	0.496807i
$962$	24.2271	−	6.49164i	0.781114	−	0.209299i
$963$	−3.33616	−	12.4507i	−0.107506	−	0.401219i
$964$	0.366352	−	1.36725i	0.0117994	−	0.0440360i
$965$	−0.987981	+	1.71123i	−0.0318042	+	0.0550866i
$966$	3.90097	−	3.90097i	0.125512	−	0.125512i
$967$	−29.2747	+	50.7053i	−0.941411	+	1.63057i	−0.178628	+	0.983917i	$0.557166\pi$
$967$	−29.2747	+	50.7053i	−0.941411	+	1.63057i	−0.762783	+	0.646655i	$0.776168\pi$
$968$	19.8990	+	11.4887i	0.639577	+	0.369260i
$969$	2.19292	+	8.18409i	0.0704467	+	0.262911i
$970$	−21.8487	−	21.8487i	−0.701521	−	0.701521i
$971$	−0.712617	−	0.712617i	−0.0228690	−	0.0228690i	0.695580	−	0.718449i	$-0.255148\pi$
$971$	−0.712617	−	0.712617i	−0.0228690	−	0.0228690i	−0.718449	+	0.695580i	$0.755148\pi$
$972$	−0.937741	+	0.541405i	−0.0300780	+	0.0173656i
$973$		−	17.5444i		−	0.562449i
$974$	16.1513	+	9.32497i	0.517521	+	0.298791i
$975$	0.192200	−	0.717298i	0.00615531	−	0.0229719i
$976$			34.8332i			1.11498i
$977$	34.4052	+	9.21884i	1.10072	+	0.294937i	0.763057	−	0.646331i	$-0.223697\pi$
$977$	34.4052	+	9.21884i	1.10072	+	0.294937i	0.337662	+	0.941268i	$0.390364\pi$
$978$	7.64292	−	2.04791i	0.244394	−	0.0654850i
$979$	22.6711	+	22.6711i	0.724571	+	0.724571i
$980$	−0.857557	+	0.229782i	−0.0273937	+	0.00734011i
$981$	−5.01025	−	8.67800i	−0.159965	−	0.277067i
$982$	−35.5411	−	9.52322i	−1.13416	−	0.303898i
$983$	−0.484767	−	1.80918i	−0.0154617	−	0.0577037i	0.957764	−	0.287555i	$-0.0928426\pi$
$983$	−0.484767	−	1.80918i	−0.0154617	−	0.0577037i	−0.973226	+	0.229852i	$0.926176\pi$
$984$	−3.94407	+	2.27711i	−0.125732	+	0.0725917i
$985$	−10.3526	−	17.9312i	−0.329860	−	0.571334i
$986$	−32.2413	−	55.8435i	−1.02677	−	1.77842i
$987$	−4.03955	+	2.33223i	−0.128580	+	0.0742358i
$988$	−0.179074	−	0.668313i	−0.00569710	−	0.0212619i
$989$	−16.2854	−	4.36366i	−0.517845	−	0.138756i
$990$	18.7370	+	32.4534i	0.595500	+	1.03144i
$991$	36.4916	−	9.77788i	1.15919	−	0.310605i	0.372549	−	0.928012i	$-0.378484\pi$
$991$	36.4916	−	9.77788i	1.15919	−	0.310605i	0.786643	+	0.617408i	$0.211817\pi$
$992$	0.171205	+	0.171205i	0.00543575	+	0.00543575i
$993$	7.21948	−	1.93445i	0.229103	−	0.0613881i
$994$	−33.4218	−	8.95534i	−1.06007	−	0.284046i
$995$			52.2726i			1.65715i
$996$	0.0897463	−	0.334938i	0.00284372	−	0.0106129i
$997$	21.1362	+	12.2030i	0.669390	+	0.386473i	0.795846	−	0.605500i	$-0.207027\pi$
$997$	21.1362	+	12.2030i	0.669390	+	0.386473i	−0.126455	+	0.991972i	$0.540360\pi$
$998$			15.4121i			0.487862i
$999$	13.4866	−	7.78646i	0.426696	−	0.246353i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	73.2.h.a.3.2	✓	20
3.2	odd	2		657.2.be.c.514.4		20
73.7	odd	24		5329.2.a.m.1.13		20
73.49	even	12	inner	73.2.h.a.49.2	yes	20
73.66	odd	24		5329.2.a.m.1.14		20
219.122	odd	12		657.2.be.c.487.4		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
73.2.h.a.3.2	✓	20	1.1	even	1	trivial
73.2.h.a.49.2	yes	20	73.49	even	12	inner
657.2.be.c.487.4		20	219.122	odd	12
657.2.be.c.514.4		20	3.2	odd	2
5329.2.a.m.1.13		20	73.7	odd	24
5329.2.a.m.1.14		20	73.66	odd	24

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:	\( N \)	\(=\)	\( 73 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	73.h (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.723926 + 1.25388i) q^{2} -0.458687i q^{3} +(-0.0481386 - 0.0833785i) q^{4} +(2.03807 + 0.546100i) q^{5} +(0.575137 + 0.332055i) q^{6} +(-2.38436 + 2.38436i) q^{7} -2.75631 q^{8} +2.78961 q^{9} +O(q^{10})\)	\(q+(-0.723926 + 1.25388i) q^{2} -0.458687i q^{3} +(-0.0481386 - 0.0833785i) q^{4} +(2.03807 + 0.546100i) q^{5} +(0.575137 + 0.332055i) q^{6} +(-2.38436 + 2.38436i) q^{7} -2.75631 q^{8} +2.78961 q^{9} +(-2.16016 + 2.16016i) q^{10} +(1.13811 - 4.24747i) q^{11} +(-0.0382446 + 0.0220805i) q^{12} +(-2.85346 + 0.764583i) q^{13} +(-1.26360 - 4.71580i) q^{14} +(0.250489 - 0.934836i) q^{15} +(2.09164 - 3.62283i) q^{16} +(5.36922 - 5.36922i) q^{17} +(-2.01947 + 3.49782i) q^{18} +(-2.10676 - 1.21634i) q^{19} +(-0.0525770 - 0.196220i) q^{20} +(1.09368 + 1.09368i) q^{21} +(4.50190 + 4.50190i) q^{22} +(-2.13349 + 1.23177i) q^{23} +1.26428i q^{24} +(-0.474616 - 0.274019i) q^{25} +(1.10700 - 4.13139i) q^{26} -2.65562i q^{27} +(0.313585 + 0.0840248i) q^{28} +(-5.66546 + 1.51806i) q^{29} +(0.990835 + 0.990835i) q^{30} +(0.429781 - 0.115159i) q^{31} +(0.272080 + 0.471257i) q^{32} +(-1.94826 - 0.522034i) q^{33} +(2.84542 + 10.6193i) q^{34} +(-6.16161 + 3.55741i) q^{35} +(-0.134288 - 0.232593i) q^{36} +(2.93208 + 5.07850i) q^{37} +(3.05028 - 1.76108i) q^{38} +(0.350704 + 1.30885i) q^{39} +(-5.61756 - 1.50522i) q^{40} +(1.80111 + 3.11961i) q^{41} +(-2.16308 + 0.579595i) q^{42} +(4.83927 + 4.83927i) q^{43} +(-0.408934 + 0.109574i) q^{44} +(5.68542 + 1.52340i) q^{45} -3.56684i q^{46} +(-0.780539 + 2.91301i) q^{47} +(-1.66174 - 0.959409i) q^{48} -4.37039i q^{49} +(0.687174 - 0.396740i) q^{50} +(-2.46279 - 2.46279i) q^{51} +(0.201112 + 0.201112i) q^{52} +(-2.89458 - 10.8027i) q^{53} +(3.32982 + 1.92247i) q^{54} +(4.63908 - 8.03512i) q^{55} +(6.57205 - 6.57205i) q^{56} +(-0.557918 + 0.966342i) q^{57} +(2.19792 - 8.20276i) q^{58} +(2.40748 + 8.98484i) q^{59} +(-0.0900034 + 0.0241164i) q^{60} +(-7.21118 + 4.16338i) q^{61} +(-0.166734 + 0.622259i) q^{62} +(-6.65144 + 6.65144i) q^{63} +7.57871 q^{64} -6.23310 q^{65} +(2.06496 - 2.06496i) q^{66} +(-9.97759 - 5.76056i) q^{67} +(-0.706145 - 0.189211i) q^{68} +(0.564996 + 0.978602i) q^{69} -10.3012i q^{70} +(3.54359 - 6.13768i) q^{71} -7.68902 q^{72} +(7.50464 + 4.08417i) q^{73} -8.49043 q^{74} +(-0.125689 + 0.217700i) q^{75} +0.234211i q^{76} +(7.41385 + 12.8412i) q^{77} +(-1.89502 - 0.507768i) q^{78} +(-8.47093 - 4.89069i) q^{79} +(6.24134 - 6.24134i) q^{80} +7.15072 q^{81} -5.21548 q^{82} +(-5.55221 + 5.55221i) q^{83} +(0.0385411 - 0.143837i) q^{84} +(13.8750 - 8.01073i) q^{85} +(-9.57113 + 2.56458i) q^{86} +(0.696312 + 2.59867i) q^{87} +(-3.13697 + 11.7073i) q^{88} +(-3.64561 + 6.31439i) q^{89} +(-6.02598 + 6.02598i) q^{90} +(4.98065 - 8.62674i) q^{91} +(0.205406 + 0.118591i) q^{92} +(-0.0528221 - 0.197135i) q^{93} +(-3.08750 - 3.08750i) q^{94} +(-3.62948 - 3.62948i) q^{95} +(0.216159 - 0.124800i) q^{96} +10.1144i q^{97} +(5.47993 + 3.16384i) q^{98} +(3.17487 - 11.8488i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

Introduction

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