LMFDB - Embedded newform 507.2.s.a.5.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [507,2,Mod(5,507)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(507, base_ring=CyclotomicField(52))

chi = DirichletCharacter(H, H._module([26, 3]))

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

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

chi := DirichletCharacter("507.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 507 = 3 \cdot 13^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	507.s (of order $52$, degree $24$, 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:	$4.04841538248$
Analytic rank:	$0$
Dimension:	$1392$
Relative dimension:	$58$ over $\Q(\zeta_{52})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{52}]$

Embedding invariants

Embedding label			5.3
Character	$\chi$	$=$	507.5
Dual form			507.2.s.a.203.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.465956 + 2.54264i) q^{2} +(-0.218600 + 1.71820i) q^{3} +(-4.37786 - 1.66030i) q^{4} +(1.00192 + 0.0606047i) q^{5} +(-4.26690 - 1.35643i) q^{6} +(-1.49633 - 0.904565i) q^{7} +(3.58682 - 5.93332i) q^{8} +(-2.90443 - 0.751197i) q^{9} +(-0.620944 + 2.51927i) q^{10} +(-0.519207 - 2.83322i) q^{11} +(3.80973 - 7.15910i) q^{12} +(-1.89643 - 3.06652i) q^{13} +(2.99720 - 3.38314i) q^{14} +(-0.323150 + 1.70824i) q^{15} +(6.40575 + 5.67500i) q^{16} +(-1.68280 + 0.414772i) q^{17} +(3.26336 - 7.03488i) q^{18} +(0.428458 - 0.428458i) q^{19} +(-4.28562 - 1.92880i) q^{20} +(1.88132 - 2.37326i) q^{21} +7.44578 q^{22} -3.29987 q^{23} +(9.41056 + 7.45989i) q^{24} +(-3.96338 - 0.481242i) q^{25} +(8.68070 - 3.39307i) q^{26} +(1.92561 - 4.82618i) q^{27} +(5.04888 + 6.44442i) q^{28} +(-5.98741 + 4.13281i) q^{29} +(-4.19287 - 1.61762i) q^{30} +(1.70538 + 1.33608i) q^{31} +(-6.49883 + 5.09151i) q^{32} +(4.98154 - 0.272761i) q^{33} +(-0.270507 - 4.47201i) q^{34} +(-1.44438 - 0.996982i) q^{35} +(11.4680 + 8.11086i) q^{36} +(-1.68884 + 2.15564i) q^{37} +(0.889771 + 1.28906i) q^{38} +(5.68346 - 2.58811i) q^{39} +(3.95327 - 5.72731i) q^{40} +(1.99469 + 6.40120i) q^{41} +(5.15773 + 5.88935i) q^{42} +(-5.57958 - 0.677484i) q^{43} +(-2.43099 + 13.2655i) q^{44} +(-2.86447 - 0.928658i) q^{45} +(1.53759 - 8.39037i) q^{46} +(-8.71152 - 3.92074i) q^{47} +(-11.1511 + 9.76581i) q^{48} +(-1.83229 - 3.49113i) q^{49} +(3.07038 - 9.85321i) q^{50} +(-0.344803 - 2.98205i) q^{51} +(3.21095 + 16.5734i) q^{52} +(2.01971 + 8.19427i) q^{53} +(11.3740 + 7.14492i) q^{54} +(-0.348495 - 2.87012i) q^{55} +(-10.7341 + 5.63371i) q^{56} +(0.642516 + 0.829837i) q^{57} +(-7.71837 - 17.1495i) q^{58} +(-0.732110 + 12.1032i) q^{59} +(4.25090 - 6.94192i) q^{60} +(12.3667 + 3.04811i) q^{61} +(-4.19180 + 3.71361i) q^{62} +(3.66648 + 3.75128i) q^{63} +(-1.96349 - 3.74112i) q^{64} +(-1.71422 - 3.18733i) q^{65} +(-1.62765 + 12.7934i) q^{66} +(0.652891 + 0.293842i) q^{67} +(8.05570 + 0.978138i) q^{68} +(0.721351 - 5.66984i) q^{69} +(3.20798 - 3.20798i) q^{70} +(-1.90040 - 6.09858i) q^{71} +(-14.8747 + 14.5385i) q^{72} +(-7.07235 + 1.29606i) q^{73} +(-4.69409 - 5.29853i) q^{74} +(1.69326 - 6.70469i) q^{75} +(-2.58710 + 1.16436i) q^{76} +(-1.78593 + 4.70910i) q^{77} +(3.93238 + 15.6569i) q^{78} +(-1.66979 - 4.40286i) q^{79} +(6.07409 + 6.07409i) q^{80} +(7.87141 + 4.36359i) q^{81} +(-17.2054 + 2.08911i) q^{82} +(-13.8091 - 4.30309i) q^{83} +(-12.1765 + 7.26624i) q^{84} +(-1.71116 + 0.313581i) q^{85} +(4.32243 - 13.8712i) q^{86} +(-5.79215 - 11.1910i) q^{87} +(-18.6727 - 7.08163i) q^{88} +(5.40831 - 5.40831i) q^{89} +(3.69595 - 6.85058i) q^{90} +(0.0638260 + 6.30398i) q^{91} +(14.4464 + 5.47878i) q^{92} +(-2.66845 + 2.63812i) q^{93} +(14.0282 - 20.3233i) q^{94} +(0.455245 - 0.403312i) q^{95} +(-7.32759 - 12.2793i) q^{96} +(6.23724 - 0.377283i) q^{97} +(9.73045 - 3.03213i) q^{98} +(-0.620307 + 8.61892i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1392 q - 22 q^{3} - 52 q^{4} - 22 q^{6} - 56 q^{7} - 22 q^{9} - 52 q^{10} - 26 q^{12} - 44 q^{13} - 34 q^{15} + 48 q^{16} - 34 q^{18} - 56 q^{19} - 22 q^{21} - 96 q^{22} - 194 q^{24} - 52 q^{25} - 34 q^{27}+ \cdots - 58 q^{99}+O(q^{100}) $ 1392 * q - 22 * q^3 - 52 * q^4 - 22 * q^6 - 56 * q^7 - 22 * q^9 - 52 * q^10 - 26 * q^12 - 44 * q^13 - 34 * q^15 + 48 * q^16 - 34 * q^18 - 56 * q^19 - 22 * q^21 - 96 * q^22 - 194 * q^24 - 52 * q^25 - 34 * q^27 - 56 * q^28 + 78 * q^30 - 32 * q^31 - 10 * q^33 - 52 * q^34 - 26 * q^36 - 56 * q^37 + 70 * q^39 - 36 * q^40 - 10 * q^42 - 52 * q^43 - 140 * q^45 - 180 * q^46 - 2 * q^48 - 52 * q^49 - 26 * q^51 - 64 * q^52 - 22 * q^54 + 132 * q^55 - 22 * q^57 - 60 * q^58 - 18 * q^60 - 92 * q^61 + 108 * q^63 - 52 * q^64 - 124 * q^66 - 240 * q^67 - 104 * q^69 - 268 * q^70 - 2 * q^72 - 56 * q^73 + 104 * q^75 - 48 * q^76 - 22 * q^78 - 12 * q^79 + 2 * q^81 + 208 * q^82 - 22 * q^84 - 52 * q^85 - 26 * q^87 - 260 * q^88 - 26 * q^90 - 32 * q^91 - 176 * q^93 - 240 * q^94 + 292 * q^96 - 80 * q^97 - 58 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/507\mathbb{Z}\right)^\times$.

$n$	$170$	$340$
$\chi(n)$	$-1$	$e\left(\frac{3}{52}\right)$

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 $

$2$	−0.465956	+	2.54264i	−0.329480	+	1.79792i	0.234487	+	0.972119i	$0.424659\pi$
$2$	−0.465956	+	2.54264i	−0.329480	+	1.79792i	−0.563968	+	0.825797i	$0.690726\pi$
$3$	−0.218600	+	1.71820i	−0.126209	+	0.992004i
$3$	−0.218600	+	1.71820i	−0.126209	+	0.992004i
$4$	−4.37786	−	1.66030i	−2.18893	−	0.830151i
$5$	1.00192	+	0.0606047i	0.448070	+	0.0271033i	0.282873	−	0.959157i	$-0.408712\pi$
$5$	1.00192	+	0.0606047i	0.448070	+	0.0271033i	0.165197	+	0.986261i	$0.447174\pi$
$6$	−4.26690	−	1.35643i	−1.74196	−	0.553758i
$7$	−1.49633	−	0.904565i	−0.565561	−	0.341893i	0.205498	−	0.978658i	$-0.434119\pi$
$7$	−1.49633	−	0.904565i	−0.565561	−	0.341893i	−0.771059	+	0.636764i	$0.780272\pi$
$8$	3.58682	−	5.93332i	1.26813	−	2.09775i
$9$	−2.90443	−	0.751197i	−0.968143	−	0.250399i
$10$	−0.620944	+	2.51927i	−0.196360	+	0.796663i
$11$	−0.519207	−	2.83322i	−0.156547	−	0.854249i	−0.964317	−	0.264751i	$-0.914710\pi$
$11$	−0.519207	−	2.83322i	−0.156547	−	0.854249i	0.807770	−	0.589498i	$-0.200674\pi$
$12$	3.80973	−	7.15910i	1.09977	−	2.06665i
$13$	−1.89643	−	3.06652i	−0.525975	−	0.850500i
$13$	−1.89643	−	3.06652i	−0.525975	−	0.850500i
$14$	2.99720	−	3.38314i	0.801036	−	0.904183i
$15$	−0.323150	+	1.70824i	−0.0834369	+	0.441067i
$16$	6.40575	+	5.67500i	1.60144	+	1.41875i
$17$	−1.68280	+	0.414772i	−0.408138	+	0.100597i	−0.438039	−	0.898956i	$-0.644327\pi$
$17$	−1.68280	+	0.414772i	−0.408138	+	0.100597i	0.0299010	+	0.999553i	$0.490481\pi$
$18$	3.26336	−	7.03488i	0.769180	−	1.65814i
$19$	0.428458	−	0.428458i	0.0982950	−	0.0982950i	−0.656249	−	0.754544i	$-0.727858\pi$
$19$	0.428458	−	0.428458i	0.0982950	−	0.0982950i	0.754544	+	0.656249i	$0.227858\pi$
$20$	−4.28562	−	1.92880i	−0.958294	−	0.431293i
$21$	1.88132	−	2.37326i	0.410538	−	0.517888i
$22$	7.44578			1.58745
$23$	−3.29987			−0.688070			−0.344035	−	0.938957i	$-0.611794\pi$
$23$	−3.29987			−0.688070			−0.344035	+	0.938957i	$0.611794\pi$
$24$	9.41056	+	7.45989i	1.92092	+	1.52274i
$25$	−3.96338	−	0.481242i	−0.792677	−	0.0962484i
$26$	8.68070	−	3.39307i	1.70243	−	0.665437i
$27$	1.92561	−	4.82618i	0.370585	−	0.928799i
$28$	5.04888	+	6.44442i	0.954148	+	1.21788i
$29$	−5.98741	+	4.13281i	−1.11183	+	0.767444i	−0.974791	−	0.223122i	$-0.928375\pi$
$29$	−5.98741	+	4.13281i	−1.11183	+	0.767444i	−0.137043	+	0.990565i	$0.543760\pi$
$30$	−4.19287	−	1.61762i	−0.765510	−	0.295335i
$31$	1.70538	+	1.33608i	0.306296	+	0.239967i	0.758083	−	0.652159i	$-0.226136\pi$
$31$	1.70538	+	1.33608i	0.306296	+	0.239967i	−0.451787	+	0.892126i	$0.649213\pi$
$32$	−6.49883	+	5.09151i	−1.14884	+	0.900060i
$33$	4.98154	−	0.272761i	0.867175	−	0.0474815i
$34$	−0.270507	−	4.47201i	−0.0463915	−	0.766943i
$35$	−1.44438	−	0.996982i	−0.244144	−	0.168521i
$36$	11.4680	+	8.11086i	1.91133	+	1.35181i
$37$	−1.68884	+	2.15564i	−0.277643	+	0.354385i	−0.905803	−	0.423699i	$-0.860731\pi$
$37$	−1.68884	+	2.15564i	−0.277643	+	0.354385i	0.628160	+	0.778084i	$0.283808\pi$
$38$	0.889771	+	1.28906i	0.144340	+	0.209112i
$39$	5.68346	−	2.58811i	0.910082	−	0.414429i
$40$	3.95327	−	5.72731i	0.625068	−	0.905567i
$41$	1.99469	+	6.40120i	0.311519	+	0.999699i	0.969173	+	0.246380i	$0.0792410\pi$
$41$	1.99469	+	6.40120i	0.311519	+	0.999699i	−0.657655	+	0.753320i	$0.728451\pi$
$42$	5.15773	+	5.88935i	0.795855	+	0.908747i
$43$	−5.57958	−	0.677484i	−0.850878	−	0.103315i	−0.316533	−	0.948582i	$-0.602519\pi$
$43$	−5.57958	−	0.677484i	−0.850878	−	0.103315i	−0.534346	+	0.845266i	$0.679442\pi$
$44$	−2.43099	+	13.2655i	−0.366485	+	1.99985i
$45$	−2.86447	−	0.928658i	−0.427009	−	0.138436i
$46$	1.53759	−	8.39037i	0.226706	−	1.23709i
$47$	−8.71152	−	3.92074i	−1.27071	−	0.571898i	−0.340952	−	0.940081i	$-0.610749\pi$
$47$	−8.71152	−	3.92074i	−1.27071	−	0.571898i	−0.929753	+	0.368183i	$0.879980\pi$
$48$	−11.1511	+	9.76581i	−1.60952	+	1.40957i
$49$	−1.83229	−	3.49113i	−0.261755	−	0.498733i
$50$	3.07038	−	9.85321i	0.434218	−	1.39345i
$51$	−0.344803	−	2.98205i	−0.0482821	−	0.417571i
$52$	3.21095	+	16.5734i	0.445279	+	2.29832i
$53$	2.01971	+	8.19427i	0.277428	+	1.12557i	0.929916	+	0.367771i	$0.119879\pi$
$53$	2.01971	+	8.19427i	0.277428	+	1.12557i	−0.652489	+	0.757799i	$0.726275\pi$
$54$	11.3740	+	7.14492i	1.54780	+	0.972301i
$55$	−0.348495	−	2.87012i	−0.0469911	−	0.387006i
$56$	−10.7341	+	5.63371i	−1.43441	+	0.752837i
$57$	0.642516	+	0.829837i	0.0851033	+	0.109915i
$58$	−7.71837	−	17.1495i	−1.01347	−	2.25184i
$59$	−0.732110	+	12.1032i	−0.0953126	+	1.57570i	0.565241	+	0.824926i	$0.308783\pi$
$59$	−0.732110	+	12.1032i	−0.0953126	+	1.57570i	−0.660554	+	0.750779i	$0.729678\pi$
$60$	4.25090	−	6.94192i	0.548789	−	0.896198i
$61$	12.3667	+	3.04811i	1.58339	+	0.390270i	0.930237	−	0.366958i	$-0.119601\pi$
$61$	12.3667	+	3.04811i	1.58339	+	0.390270i	0.653150	+	0.757228i	$0.273447\pi$
$62$	−4.19180	+	3.71361i	−0.532359	+	0.471629i
$63$	3.66648	+	3.75128i	0.461934	+	0.472617i
$64$	−1.96349	−	3.74112i	−0.245437	−	0.467641i
$65$	−1.71422	−	3.18733i	−0.212623	−	0.395339i
$66$	−1.62765	+	12.7934i	−0.200349	+	1.57475i
$67$	0.652891	+	0.293842i	0.0797633	+	0.0358985i	0.449902	−	0.893078i	$-0.351459\pi$
$67$	0.652891	+	0.293842i	0.0797633	+	0.0358985i	−0.370138	+	0.928977i	$0.620690\pi$
$68$	8.05570	+	0.978138i	0.976897	+	0.118617i
$69$	0.721351	−	5.66984i	0.0868404	−	0.682568i
$70$	3.20798	−	3.20798i	0.383427	−	0.383427i
$71$	−1.90040	−	6.09858i	−0.225535	−	0.723769i	−0.996245	−	0.0865818i	$-0.972406\pi$
$71$	−1.90040	−	6.09858i	−0.225535	−	0.723769i	0.770709	−	0.637187i	$-0.219902\pi$
$72$	−14.8747	+	14.5385i	−1.75301	+	1.71338i
$73$	−7.07235	+	1.29606i	−0.827756	+	0.151692i	−0.577399	−	0.816462i	$-0.695932\pi$
$73$	−7.07235	+	1.29606i	−0.827756	+	0.151692i	−0.250356	+	0.968154i	$0.580548\pi$
$74$	−4.69409	−	5.29853i	−0.545677	−	0.615942i
$75$	1.69326	−	6.70469i	0.195521	−	0.774191i
$76$	−2.58710	+	1.16436i	−0.296760	+	0.133561i
$77$	−1.78593	+	4.70910i	−0.203525	+	0.536652i
$78$	3.93238	+	15.6569i	0.445255	+	1.77280i
$79$	−1.66979	−	4.40286i	−0.187866	−	0.495361i	0.807682	−	0.589618i	$-0.200722\pi$
$79$	−1.66979	−	4.40286i	−0.187866	−	0.495361i	−0.995548	+	0.0942571i	$0.969952\pi$
$80$	6.07409	+	6.07409i	0.679104	+	0.679104i
$81$	7.87141	+	4.36359i	0.874601	+	0.484844i
$82$	−17.2054	+	2.08911i	−1.90001	+	0.230704i
$83$	−13.8091	−	4.30309i	−1.51574	−	0.472325i	−0.576943	−	0.816785i	$-0.695754\pi$
$83$	−13.8091	−	4.30309i	−1.51574	−	0.472325i	−0.938801	+	0.344460i	$0.888062\pi$
$84$	−12.1765	+	7.26624i	−1.32856	+	0.792812i
$85$	−1.71116	+	0.313581i	−0.185601	+	0.0340127i
$86$	4.32243	−	13.8712i	0.466100	−	1.49577i
$87$	−5.79215	−	11.1910i	−0.620984	−	1.19980i
$88$	−18.6727	−	7.08163i	−1.99052	−	0.754904i
$89$	5.40831	−	5.40831i	0.573280	−	0.573280i	−0.359764	−	0.933043i	$-0.617143\pi$
$89$	5.40831	−	5.40831i	0.573280	−	0.573280i	0.933043	+	0.359764i	$0.117143\pi$
$90$	3.69595	−	6.85058i	0.389588	−	0.722115i
$91$	0.0638260	+	6.30398i	0.00669079	+	0.660837i
$92$	14.4464	+	5.47878i	1.50614	+	0.571202i
$93$	−2.66845	+	2.63812i	−0.276706	+	0.273560i
$94$	14.0282	−	20.3233i	1.44690	−	2.09619i
$95$	0.455245	−	0.403312i	0.0467072	−	0.0413789i
$96$	−7.32759	−	12.2793i	−0.747869	−	1.25325i
$97$	6.23724	−	0.377283i	0.633295	−	0.0383073i	0.259388	−	0.965773i	$-0.416479\pi$
$97$	6.23724	−	0.377283i	0.633295	−	0.0383073i	0.373908	+	0.927466i	$0.378018\pi$
$98$	9.73045	−	3.03213i	0.982924	−	0.306291i
$99$	−0.620307	+	8.61892i	−0.0623432	+	0.866234i
$100$	16.5521	+	8.68722i	1.65521	+	0.868722i
$101$	2.00654	−	16.5254i	0.199658	−	1.64434i	−0.456508	−	0.889719i	$-0.650900\pi$
$101$	2.00654	−	16.5254i	0.199658	−	1.64434i	0.656167	−	0.754616i	$-0.272177\pi$
$102$	7.74294	+	0.512795i	0.766666	+	0.0507743i
$103$	7.36576	−	14.0343i	0.725770	−	1.38284i	−0.190263	−	0.981733i	$-0.560934\pi$
$103$	7.36576	−	14.0343i	0.725770	−	1.38284i	0.916032	−	0.401105i	$-0.131374\pi$
$104$	−24.9968	+	0.253086i	−2.45114	+	0.0248171i
$105$	2.02876	−	2.26379i	0.197986	−	0.220923i
$106$	−21.7761	+	1.31721i	−2.11509	+	0.127939i
$107$	4.32265	+	4.87927i	0.417887	+	0.471696i	0.919326	−	0.393496i	$-0.128735\pi$
$107$	4.32265	+	4.87927i	0.417887	+	0.471696i	−0.501440	+	0.865193i	$0.667196\pi$
$108$	−16.4430	+	17.9312i	−1.58223	+	1.72543i
$109$	5.56019	+	7.09706i	0.532570	+	0.679775i	0.976309	−	0.216381i	$-0.0694252\pi$
$109$	5.56019	+	7.09706i	0.532570	+	0.679775i	−0.443739	+	0.896156i	$0.646348\pi$
$110$	7.46004	+	0.451250i	0.711287	+	0.0430250i
$111$	−3.33465	−	3.37298i	−0.316511	−	0.320149i
$112$	−4.45173	−	14.2861i	−0.420649	−	1.34991i
$113$	−2.61370	−	4.97999i	−0.245876	−	0.468478i	0.730973	−	0.682406i	$-0.239066\pi$
$113$	−2.61370	−	4.97999i	−0.245876	−	0.468478i	−0.976849	+	0.213928i	$0.931374\pi$
$114$	−2.40936	+	1.24702i	−0.225657	+	0.116794i
$115$	−3.30619	−	0.199988i	−0.308304	−	0.0186489i
$116$	33.0737	−	8.15194i	3.07082	−	0.756889i
$117$	3.20449	+	10.3311i	0.296255	+	0.955109i
$118$	−30.4330	−	7.50105i	−2.80158	−	0.690528i
$119$	2.89321	+	0.901562i	0.265220	+	0.0826460i
$120$	8.97648	+	8.04451i	0.819437	+	0.734360i
$121$	2.52761	−	0.958595i	0.229783	−	0.0871450i
$122$	−13.5125	+	30.0236i	−1.22337	+	2.71821i
$123$	−11.4346	+	2.02798i	−1.03102	+	0.182857i
$124$	−5.24762	−	8.68062i	−0.471250	−	0.779543i
$125$	−8.87833	−	1.62702i	−0.794102	−	0.145525i
$126$	−11.2466	+	7.57461i	−1.00192	+	0.674800i
$127$	3.66286	−	1.38914i	0.325026	−	0.123266i	−0.186695	−	0.982418i	$-0.559777\pi$
$127$	3.66286	−	1.38914i	0.325026	−	0.123266i	0.511721	+	0.859152i	$0.329008\pi$
$128$	−5.33675	+	1.66300i	−0.471706	+	0.146990i
$129$	2.38375	−	9.43875i	0.209877	−	0.831035i
$130$	8.90296	−	2.87348i	0.780842	−	0.252021i
$131$	12.2091	−	8.42732i	1.06671	−	0.736298i	0.100732	−	0.994914i	$-0.467882\pi$
$131$	12.2091	−	8.42732i	1.06671	−	0.736298i	0.965980	+	0.258615i	$0.0832662\pi$
$132$	−22.2613	−	7.07676i	−1.93760	−	0.615953i
$133$	−1.02868	+	0.253548i	−0.0891981	+	0.0219854i
$134$	−1.05135	+	1.52315i	−0.0908230	+	0.131580i
$135$	2.22179	−	4.71872i	0.191221	−	0.406123i
$136$	−3.57491	+	11.4723i	−0.306546	+	0.983741i
$137$	1.34738	+	1.71980i	0.115114	+	0.146933i	0.841305	−	0.540561i	$-0.181788\pi$
$137$	1.34738	+	1.71980i	0.115114	+	0.146933i	−0.726191	+	0.687493i	$0.758711\pi$
$138$	14.0802	+	4.47602i	1.19859	+	0.381025i
$139$	−9.27454	−	8.21653i	−0.786657	−	0.696917i	0.170860	−	0.985295i	$-0.445345\pi$
$139$	−9.27454	−	8.21653i	−0.786657	−	0.696917i	−0.957517	+	0.288378i	$0.906884\pi$
$140$	4.66799	+	6.76275i	0.394517	+	0.571556i
$141$	8.64095	−	14.1111i	0.727699	−	1.18837i
$142$	16.3920	−	1.99035i	1.37558	−	0.167026i
$143$	−7.70349	+	6.96517i	−0.644198	+	0.582457i
$144$	−14.3420	−	21.2946i	−1.19517	−	1.77455i
$145$	−6.24934	+	3.77786i	−0.518980	+	0.313734i
$146$		−	18.5863i		−	1.53821i
$147$	6.39901	−	2.38508i	0.527781	−	0.196718i
$148$	10.9725	−	6.63311i	0.901934	−	0.545238i
$149$	1.54515	−	3.43318i	0.126584	−	0.281257i	−0.837699	−	0.546132i	$-0.816100\pi$
$149$	1.54515	−	3.43318i	0.126584	−	0.281257i	0.964283	+	0.264875i	$0.0853305\pi$
$150$	16.2586	+	7.42944i	1.32751	+	0.606612i
$151$	−17.9934	+	8.09818i	−1.46428	+	0.659021i	−0.976808	−	0.214116i	$-0.931313\pi$
$151$	−17.9934	+	8.09818i	−1.46428	+	0.659021i	−0.487475	+	0.873137i	$0.662082\pi$
$152$	−1.00538	−	4.07898i	−0.0815469	−	0.330849i
$153$	5.19914	+	0.0594354i	0.420326	+	0.00480507i
$154$	−11.1414	−	6.73519i	−0.897797	−	0.542737i
$155$	1.62768	+	1.44199i	0.130738	+	0.115824i
$156$	−29.1784	+	1.89411i	−2.33614	+	0.151651i
$157$	−9.89892	+	8.76967i	−0.790019	+	0.699896i	−0.958275	−	0.285847i	$-0.907725\pi$
$157$	−9.89892	+	8.76967i	−0.790019	+	0.699896i	0.168256	+	0.985743i	$0.446187\pi$
$158$	11.9729	−	2.19412i	0.952515	−	0.174555i
$159$	−14.5209	+	1.67899i	−1.15158	+	0.133153i
$160$	−6.81985	+	4.70740i	−0.539156	+	0.372153i
$161$	4.93770	+	2.98494i	0.389145	+	0.235247i
$162$	−14.7628	+	17.9809i	−1.15987	+	1.41271i
$163$	7.58653	−	9.68349i	0.594223	−	0.758470i	−0.392699	−	0.919667i	$-0.628459\pi$
$163$	7.58653	−	9.68349i	0.594223	−	0.758470i	0.986922	+	0.161197i	$0.0515356\pi$
$164$	1.89544	−	31.3353i	0.148009	−	2.44688i
$165$	5.00762	+	0.0286220i	0.389842	+	0.00222822i
$166$	17.3756	−	33.1064i	1.34861	−	2.56956i
$167$	−14.4166	−	2.64193i	−1.11559	−	0.204439i	−0.409325	−	0.912389i	$-0.634236\pi$
$167$	−14.4166	−	2.64193i	−1.11559	−	0.204439i	−0.706263	+	0.707950i	$0.749620\pi$
$168$	−7.33337	−	19.6749i	−0.565782	−	1.51795i
$169$	−5.80710	+	11.6309i	−0.446700	+	0.894684i
$170$		−	4.49697i		−	0.344902i
$171$	−1.56628	+	0.922569i	−0.119777	+	0.0705506i
$172$	23.3018	+	12.2297i	1.77674	+	0.932508i
$173$	−6.04738	+	15.9456i	−0.459774	+	1.21232i	0.482029	+	0.876155i	$0.339900\pi$
$173$	−6.04738	+	15.9456i	−0.459774	+	1.21232i	−0.941802	+	0.336168i	$0.890869\pi$
$174$	31.1535	−	9.51283i	2.36174	−	0.721166i
$175$	5.49522	+	4.30523i	0.415400	+	0.325445i
$176$	12.7526	−	21.0954i	0.961265	−	1.59013i
$177$	−20.6357	−	3.90367i	−1.55108	−	0.293418i
$178$	11.2313	+	16.2714i	0.841825	+	1.21959i
$179$	−13.8746	−	3.41979i	−1.03704	−	0.255607i	−0.316187	−	0.948697i	$-0.602403\pi$
$179$	−13.8746	−	3.41979i	−1.03704	−	0.255607i	−0.720851	+	0.693090i	$0.756249\pi$
$180$	10.9984	+	8.82141i	0.819770	+	0.657509i
$181$	14.6167	+	16.4989i	1.08645	+	1.22635i	0.972510	+	0.232863i	$0.0748094\pi$
$181$	14.6167	+	16.4989i	1.08645	+	1.22635i	0.113942	+	0.993487i	$0.463652\pi$
$182$	−16.0585	−	2.77509i	−1.19033	−	0.205703i
$183$	−7.94061	+	20.5821i	−0.586987	+	1.52147i
$184$	−11.8360	+	19.5792i	−0.872563	+	1.44340i
$185$	−1.82271	+	2.05742i	−0.134009	+	0.151264i
$186$	−5.46441	−	8.01415i	−0.400670	−	0.587626i
$187$	2.04886	+	4.55239i	0.149828	+	0.332904i
$188$	31.6282	+	31.6282i	2.30672	+	2.30672i
$189$	−7.24695	+	5.47973i	−0.527138	+	0.398592i
$190$	0.813352	+	1.34545i	0.0590068	+	0.0976091i
$191$			17.9650i			1.29990i	0.759977	+	0.649950i	$0.225210\pi$
$191$			17.9650i			1.29990i	−0.759977	+	0.649950i	$0.774790\pi$
$192$	6.85722	−	2.55587i	0.494877	−	0.184454i
$193$	6.99269	+	11.5673i	0.503345	+	0.832634i	0.999363	−	0.0356783i	$-0.0113592\pi$
$193$	6.99269	+	11.5673i	0.503345	+	0.832634i	−0.496019	+	0.868312i	$0.665205\pi$
$194$	−1.94698	+	16.0348i	−0.139785	+	1.15123i
$195$	5.85120	−	2.24862i	0.419013	−	0.161027i
$196$	2.22516	+	18.3258i	0.158940	+	1.30899i
$197$	−16.9743	+	13.2985i	−1.20937	+	0.947478i	−0.999542	−	0.0302614i	$-0.990366\pi$
$197$	−16.9743	+	13.2985i	−1.20937	+	0.947478i	−0.209824	+	0.977739i	$0.567289\pi$
$198$	−21.6257	−	5.59325i	−1.53687	−	0.397495i
$199$	14.1172	−	15.9350i	1.00074	−	1.12960i	0.00918030	−	0.999958i	$-0.497078\pi$
$199$	14.1172	−	15.9350i	1.00074	−	1.12960i	0.991560	−	0.129645i	$-0.0413838\pi$
$200$	−17.0713	+	21.7899i	−1.20712	+	1.54078i
$201$	−0.647602	+	1.05756i	−0.0456783	+	0.0745948i
$202$	41.0830	+	12.8020i	2.89059	+	0.900745i
$203$	12.6975	−	0.768060i	0.891193	−	0.0539073i
$204$	−3.44161	+	13.6275i	−0.240961	+	0.954115i
$205$	1.61057	+	6.53435i	0.112487	+	0.456379i
$206$	32.2520	+	25.2678i	2.24710	+	1.76049i
$207$	9.58423	+	2.47885i	0.666150	+	0.172292i
$208$	5.25444	−	30.4056i	0.364330	−	2.10825i
$209$	−1.43637	−	0.991458i	−0.0993561	−	0.0685806i
$210$	4.81069	+	6.21322i	0.331969	+	0.428753i
$211$	−2.06393	−	5.44214i	−0.142087	−	0.374652i	0.845016	−	0.534742i	$-0.179591\pi$
$211$	−2.06393	−	5.44214i	−0.142087	−	0.374652i	−0.987103	+	0.160089i	$0.948822\pi$
$212$	4.76298	−	39.2267i	0.327123	−	2.69410i
$213$	10.8940	−	1.93211i	0.746446	−	0.132386i
$214$	−14.4204	+	8.71742i	−0.985756	+	0.595910i
$215$	−5.54921	−	1.01693i	−0.378453	−	0.0693541i
$216$	−21.7284	−	28.7359i	−1.47843	−	1.95523i
$217$	−1.34325	−	3.54185i	−0.0911855	−	0.240436i
$218$	−20.6361	+	10.8306i	−1.39765	+	0.733544i
$219$	−0.680870	−	12.4350i	−0.0460090	−	0.840281i
$220$	−3.23960	+	13.1436i	−0.218414	+	0.886139i
$221$	4.46322	+	4.37375i	0.300229	+	0.294210i
$222$	10.1301	−	6.90713i	0.679886	−	0.463576i
$223$	−0.974826	+	16.1158i	−0.0652792	+	1.07919i	0.807116	+	0.590393i	$0.201027\pi$
$223$	−0.974826	+	16.1158i	−0.0652792	+	1.07919i	−0.872395	+	0.488801i	$0.837434\pi$
$224$	14.3300	−	1.73998i	0.957464	−	0.116257i
$225$	11.1499	+	4.37501i	0.743324	+	0.291667i
$226$	13.8802	−	4.32524i	0.923296	−	0.287711i
$227$	7.01849	−	3.15876i	0.465833	−	0.209655i	−0.163883	−	0.986480i	$-0.552402\pi$
$227$	7.01849	−	3.15876i	0.465833	−	0.209655i	0.629716	+	0.776825i	$0.283171\pi$
$228$	−1.43506	−	4.69968i	−0.0950393	−	0.311244i
$229$	−6.72893	+	5.27178i	−0.444660	+	0.348369i	−0.813940	−	0.580949i	$-0.802681\pi$
$229$	−6.72893	+	5.27178i	−0.444660	+	0.348369i	0.369279	+	0.929318i	$0.379605\pi$
$230$	2.04903	−	8.31325i	0.135109	−	0.548160i
$231$	−7.70077	−	4.09799i	−0.506674	−	0.269628i
$232$	3.04554	+	50.3488i	0.199950	+	3.30556i
$233$	3.93375	−	2.06459i	0.257708	−	0.135256i	−0.330922	−	0.943658i	$-0.607360\pi$
$233$	3.93375	−	2.06459i	0.257708	−	0.135256i	0.588630	+	0.808402i	$0.299667\pi$
$234$	−27.7613	+	3.33403i	−1.81482	+	0.217952i
$235$	−8.49059	−	4.45620i	−0.553865	−	0.290691i
$236$	23.3001	−	51.7706i	1.51671	−	3.36998i
$237$	7.93002	−	1.90656i	0.515110	−	0.123845i
$238$	−3.64045	+	6.93630i	−0.235976	+	0.449614i
$239$	−6.85249	−	6.85249i	−0.443251	−	0.443251i	0.449852	−	0.893103i	$-0.351477\pi$
$239$	−6.85249	−	6.85249i	−0.443251	−	0.443251i	−0.893103	+	0.449852i	$0.851477\pi$
$240$	−11.7643	+	9.10871i	−0.759382	+	0.587965i
$241$	1.63214	+	26.9825i	0.105135	+	1.73810i	0.543598	+	0.839346i	$0.317062\pi$
$241$	1.63214	+	26.9825i	0.105135	+	1.73810i	−0.438463	+	0.898749i	$0.644477\pi$
$242$	1.25961	+	6.87345i	0.0809706	+	0.441842i
$243$	−9.21822	+	12.5708i	−0.591349	+	0.806416i
$244$	−49.0787	−	33.8766i	−3.14194	−	2.16872i
$245$	−1.62422	−	3.60887i	−0.103768	−	0.230562i
$246$	0.171579	−	30.0189i	0.0109395	−	1.91394i
$247$	−2.12642	−	0.501334i	−0.135301	−	0.0318991i
$248$	14.0443	−	5.32630i	0.891813	−	0.338220i
$249$	10.4122	−	22.7861i	0.659848	−	1.44401i
$250$	8.27382	−	21.8163i	0.523282	−	1.37978i
$251$	−3.01036	−	24.7926i	−0.190012	−	1.56489i	−0.705947	−	0.708265i	$-0.749478\pi$
$251$	−3.01036	−	24.7926i	−0.190012	−	1.56489i	0.515934	−	0.856628i	$-0.327445\pi$
$252$	−9.82308	−	22.5101i	−0.618796	−	1.41800i
$253$	1.71332	+	9.34926i	0.107715	+	0.587783i
$254$	1.82535	+	9.96060i	0.114532	+	0.624983i
$255$	−0.164737	−	3.00866i	−0.0103162	−	0.188410i
$256$	−2.76027	−	22.7328i	−0.172517	−	1.42080i
$257$	−6.15902	+	16.2400i	−0.384189	+	1.01302i	0.593845	+	0.804579i	$0.297609\pi$
$257$	−6.15902	+	16.2400i	−0.384189	+	1.01302i	−0.978034	+	0.208444i	$0.933160\pi$
$258$	22.8886	+	10.4590i	1.42498	+	0.651152i
$259$	4.47698	−	1.69789i	0.278186	−	0.105502i
$260$	2.21268	+	16.7998i	0.137224	+	1.04188i
$261$	20.4946	−	7.50573i	1.26858	−	0.464593i
$262$	15.7387	+	34.9700i	0.972342	+	2.16045i
$263$	−17.5210	−	12.0939i	−1.08039	−	0.745741i	−0.111635	−	0.993749i	$-0.535609\pi$
$263$	−17.5210	−	12.0939i	−1.08039	−	0.745741i	−0.968758	+	0.248008i	$0.920224\pi$
$264$	16.2495	−	30.5354i	1.00009	−	1.87933i
$265$	1.52696	+	8.33237i	0.0938006	+	0.511853i
$266$	−0.165359	−	2.73371i	−0.0101388	−	0.167615i
$267$	8.11031	+	10.4748i	0.496343	+	0.641049i
$268$	−2.37039	−	2.37039i	−0.144795	−	0.144795i
$269$	3.00085	−	5.71764i	0.182965	−	0.348610i	−0.776648	−	0.629935i	$-0.783081\pi$
$269$	3.00085	−	5.71764i	0.182965	−	0.348610i	0.959613	+	0.281325i	$0.0907738\pi$
$270$	10.9627	+	7.84792i	0.667171	+	0.477609i
$271$	−0.154122	+	0.342446i	−0.00936226	+	0.0208021i	−0.916522	−	0.399985i	$-0.869015\pi$
$271$	−0.154122	+	0.342446i	−0.00936226	+	0.0208021i	0.907159	+	0.420787i	$0.138246\pi$
$272$	−13.1334	−	6.89295i	−0.796330	−	0.417946i
$273$	−10.8455	−	1.26838i	−0.656397	−	0.0767660i
$274$	−5.00065	+	2.62455i	−0.302101	+	0.158555i
$275$	0.694352	+	11.4790i	0.0418710	+	0.692210i
$276$	−12.5716	+	23.6241i	−0.756722	+	1.42200i
$277$	1.22012	−	4.95024i	0.0733102	−	0.297431i	−0.922830	−	0.385207i	$-0.874130\pi$
$277$	1.22012	−	4.95024i	0.0733102	−	0.297431i	0.996140	+	0.0877763i	$0.0279761\pi$
$278$	25.2132	−	19.7533i	1.51219	−	1.18472i
$279$	−3.94950	−	5.16163i	−0.236450	−	0.309019i
$280$	−11.0961	+	4.99396i	−0.663121	+	0.298446i
$281$	15.0586	−	4.69246i	0.898323	−	0.279929i	0.186639	−	0.982429i	$-0.440241\pi$
$281$	15.0586	−	4.69246i	0.898323	−	0.279929i	0.711684	+	0.702500i	$0.247933\pi$
$282$	31.8530	+	28.5459i	1.89682	+	1.69988i
$283$	3.03065	−	0.367988i	0.180154	−	0.0218746i	−0.0299627	−	0.999551i	$-0.509539\pi$
$283$	3.03065	−	0.367988i	0.180154	−	0.0218746i	0.210116	+	0.977676i	$0.432616\pi$
$284$	−1.80583	+	29.8540i	−0.107156	+	1.77151i
$285$	0.593454	+	0.870366i	0.0351532	+	0.0515561i
$286$	−14.1204	−	22.8326i	−0.834958	−	1.35012i
$287$	2.80557	−	11.3827i	0.165608	−	0.671897i
$288$	22.7001	−	9.90602i	1.33762	−	0.583718i
$289$	−12.3930	+	6.50434i	−0.728999	+	0.382608i
$290$	−6.69381	−	17.6501i	−0.393074	−	1.03645i
$291$	−0.715210	+	10.7993i	−0.0419263	+	0.633066i
$292$	33.1136	+	6.06829i	1.93782	+	0.355120i
$293$	13.7367	−	8.30412i	0.802506	−	0.485132i	−0.0556938	−	0.998448i	$-0.517737\pi$
$293$	13.7367	−	8.30412i	0.802506	−	0.485132i	0.858199	+	0.513316i	$0.171583\pi$
$294$	3.08274	+	17.3817i	0.179789	+	1.01372i
$295$	−1.46702	+	12.0820i	−0.0854134	+	0.703443i
$296$	6.73256	+	17.7523i	0.391322	+	1.03183i
$297$	−14.6734	−	2.94991i	−0.851439	−	0.171171i
$298$	8.00937	+	5.52847i	0.463970	+	0.320255i
$299$	6.25797	+	10.1191i	0.361908	+	0.585203i
$300$	−18.5447	+	26.5408i	−1.07068	+	1.53234i
$301$	7.73608	+	6.06083i	0.445900	+	0.349341i
$302$	−12.2066	−	49.5241i	−0.702411	−	2.84979i
$303$	27.9553	+	7.06008i	1.60599	+	0.405591i
$304$	5.17609	−	0.313096i	0.296869	−	0.0179573i
$305$	12.2056	+	3.80342i	0.698891	+	0.217783i
$306$	−2.57369	+	13.1918i	−0.147128	+	0.754127i
$307$	6.05439	−	7.72786i	0.345542	−	0.441052i	−0.582891	−	0.812550i	$-0.698079\pi$
$307$	6.05439	−	7.72786i	0.345542	−	0.441052i	0.928434	+	0.371498i	$0.121156\pi$
$308$	15.6371	−	17.6506i	0.891004	−	1.00574i
$309$	22.5036	+	15.7237i	1.28018	+	0.894492i
$310$	−4.42489	+	3.46668i	−0.251317	+	0.196894i
$311$	−1.06952	−	8.80829i	−0.0606469	−	0.499472i	−0.991106	−	0.133076i	$-0.957515\pi$
$311$	−1.06952	−	8.80829i	−0.0606469	−	0.499472i	0.930459	−	0.366396i	$-0.119409\pi$
$312$	5.02944	−	43.0048i	0.284736	−	2.43467i
$313$	3.34293	−	27.5315i	0.188953	−	1.55617i	−0.522008	−	0.852940i	$-0.674817\pi$
$313$	3.34293	−	27.5315i	0.188953	−	1.55617i	0.710962	−	0.703231i	$-0.248260\pi$
$314$	−17.6856	−	29.2556i	−0.998059	−	1.65099i
$315$	3.44616	+	3.98067i	0.194169	+	0.224286i
$316$			22.0475i			1.24027i
$317$	−11.9867	−	19.8285i	−0.673242	−	1.11368i	−0.986461	−	0.163998i	$-0.947561\pi$
$317$	−11.9867	−	19.8285i	−0.673242	−	1.11368i	0.313218	−	0.949681i	$-0.398593\pi$
$318$	2.49702	−	37.7037i	0.140026	−	2.11432i
$319$	14.8179	+	14.8179i	0.829642	+	0.829642i
$320$	−1.74052	−	3.86729i	−0.0972983	−	0.216188i
$321$	−9.32849	+	6.36058i	−0.520666	+	0.355013i
$322$	−9.89038	+	11.1639i	−0.551169	+	0.622141i
$323$	−0.543295	+	0.898720i	−0.0302298	+	0.0500061i
$324$	−27.2150	−	32.1721i	−1.51194	−	1.78734i
$325$	6.04055	+	13.0664i	0.335069	+	0.724796i
$326$	21.0866	+	23.8019i	1.16788	+	1.31826i
$327$	−13.4096	+	8.00211i	−0.741555	+	0.442518i
$328$	45.1350	+	11.1248i	2.49216	+	0.614263i
$329$	9.48877	+	13.7469i	0.523133	+	0.757889i
$330$	−2.40610	+	12.7192i	−0.132452	+	0.700170i
$331$	10.6068	−	17.5457i	0.583001	−	0.964401i	−0.415496	−	0.909595i	$-0.636392\pi$
$331$	10.6068	−	17.5457i	0.583001	−	0.964401i	0.998497	−	0.0548064i	$-0.0174542\pi$
$332$	53.3098	+	41.7655i	2.92575	+	2.29218i
$333$	6.52442	−	4.99226i	0.357536	−	0.273574i
$334$	13.4350	−	35.4251i	0.735128	−	1.93837i
$335$	0.636333	+	0.333973i	0.0347666	+	0.0182469i
$336$	25.5195	−	4.52603i	1.39221	−	0.246915i
$337$		−	19.1204i		−	1.04155i	−0.853693	−	0.520776i	$-0.825643\pi$
$337$		−	19.1204i		−	1.04155i	0.853693	−	0.520776i	$-0.174357\pi$
$338$	−26.8673	−	20.1848i	−1.46139	−	1.09791i
$339$	9.12798	−	3.40224i	0.495764	−	0.184784i
$340$	8.01184	+	1.46823i	0.434503	+	0.0796257i
$341$	2.89997	−	5.52543i	0.157042	−	0.299219i
$342$	−1.61594	−	4.41236i	−0.0873801	−	0.238593i
$343$	−1.15525	+	19.0985i	−0.0623774	+	1.03122i
$344$	−24.0327	+	30.6754i	−1.29575	+	1.65391i
$345$	1.06635	−	5.63698i	0.0574104	−	0.303485i
$346$	−37.7261	−	22.8062i	−2.02817	−	1.22607i
$347$	−13.6974	+	9.45462i	−0.735314	+	0.507550i	−0.875885	−	0.482520i	$-0.839721\pi$
$347$	−13.6974	+	9.45462i	−0.735314	+	0.507550i	0.140571	+	0.990071i	$0.455106\pi$
$348$	6.77676	+	58.6093i	0.363273	+	3.14179i
$349$	−34.5433	+	6.33029i	−1.84906	+	0.338853i	−0.986065	−	0.166360i	$-0.946799\pi$
$349$	−34.5433	+	6.33029i	−1.84906	+	0.338853i	−0.862995	+	0.505212i	$0.831414\pi$
$350$	−13.5072	+	11.9663i	−0.721989	+	0.639626i
$351$	−18.4514	+	3.24758i	−0.984861	+	0.173343i
$352$	17.7996	+	15.7691i	0.948722	+	0.840495i
$353$	−1.74066	−	1.05226i	−0.0926457	−	0.0560063i	0.470256	−	0.882530i	$-0.344161\pi$
$353$	−1.74066	−	1.05226i	−0.0926457	−	0.0560063i	−0.562902	+	0.826523i	$0.690315\pi$
$354$	19.5409	−	50.6502i	1.03859	−	2.69203i
$355$	−1.53443	−	6.22544i	−0.0814392	−	0.330412i
$356$	−32.6562	+	14.6974i	−1.73078	+	0.778960i
$357$	−2.18152	+	4.77404i	−0.115458	+	0.252669i
$358$	15.1602	−	33.6847i	0.801244	−	1.78029i
$359$	−16.0976	+	9.73133i	−0.849598	+	0.513600i	−0.873901	−	0.486105i	$-0.838417\pi$
$359$	−16.0976	+	9.73133i	−0.849598	+	0.513600i	0.0243026	+	0.999705i	$0.492263\pi$
$360$	−15.7843	+	13.6649i	−0.831908	+	0.720202i
$361$			18.6328i			0.980676i
$362$	−48.7613	+	29.4773i	−2.56284	+	1.54929i
$363$	1.09452	+	4.55249i	0.0574476	+	0.238944i
$364$	10.1871	−	27.7039i	0.533948	−	1.45208i
$365$	−7.16444	+	0.869921i	−0.375004	+	0.0455337i
$366$	−48.6328	−	29.7804i	−2.54208	−	1.55665i
$367$	0.0474847	+	0.0687934i	0.00247868	+	0.00359099i	0.824221	−	0.566268i	$-0.191613\pi$
$367$	0.0474847	+	0.0687934i	0.00247868	+	0.00359099i	−0.821743	+	0.569859i	$0.806998\pi$
$368$	−21.1381	−	18.7268i	−1.10190	−	0.976200i
$369$	−0.984887	−	20.0902i	−0.0512712	−	1.04586i
$370$	−4.38197	−	5.59317i	−0.227808	−	0.290775i
$371$	4.39009	−	14.0883i	0.227922	−	0.731428i
$372$	16.0622	−	7.11888i	0.832785	−	0.369097i
$373$	9.44124	−	13.6780i	0.488849	−	0.708220i	−0.498481	−	0.866900i	$-0.666109\pi$
$373$	9.44124	−	13.6780i	0.488849	−	0.708220i	0.987330	+	0.158681i	$0.0507241\pi$
$374$	−12.5297	+	3.08831i	−0.647898	+	0.159692i
$375$	4.73634	−	14.8991i	0.244584	−	0.769386i
$376$	−54.5096	+	37.6253i	−2.81112	+	1.94037i
$377$	24.0281	+	10.5229i	1.23751	+	0.541958i
$378$	−10.5562	−	20.9797i	−0.542952	−	1.07908i
$379$	27.9126	−	8.69792i	1.43377	−	0.446782i	0.520407	−	0.853919i	$-0.325780\pi$
$379$	27.9126	−	8.69792i	1.43377	−	0.446782i	0.913367	+	0.407137i	$0.133473\pi$
$380$	−2.66262	+	1.00980i	−0.136589	+	0.0518015i
$381$	1.58612	+	6.59719i	0.0812594	+	0.337984i
$382$	−45.6784	−	8.37089i	−2.33711	−	0.428292i
$383$	10.1132	+	16.7293i	0.516762	+	0.854829i	0.999784	−	0.0207791i	$-0.00661466\pi$
$383$	10.1132	+	16.7293i	0.516762	+	0.854829i	−0.483022	+	0.875608i	$0.660461\pi$
$384$	−1.69075	−	9.53313i	−0.0862808	−	0.486486i
$385$	−2.07474	+	4.60988i	−0.105739	+	0.234941i
$386$	−32.6698	+	12.3900i	−1.66285	+	0.630635i
$387$	15.6966	+	6.15907i	0.797902	+	0.313083i
$388$	−27.9321	−	8.70400i	−1.41804	−	0.441879i
$389$	−9.09422	−	2.24152i	−0.461095	−	0.113650i	0.00192374	−	0.999998i	$-0.499388\pi$
$389$	−9.09422	−	2.24152i	−0.461095	−	0.113650i	−0.463019	+	0.886348i	$0.653234\pi$
$390$	2.99103	+	15.9252i	0.151457	+	0.806405i
$391$	5.55301	−	1.36869i	0.280828	−	0.0692179i
$392$	−27.2861	−	1.65050i	−1.37816	−	0.0833631i
$393$	11.8109	+	22.8199i	0.595782	+	1.15111i
$394$	−25.9040	−	49.3559i	−1.30502	−	2.48651i
$395$	−1.40615	−	4.51249i	−0.0707511	−	0.227048i
$396$	17.0256	−	36.7025i	0.855570	−	1.84437i
$397$	−20.2640	−	1.22574i	−1.01702	−	0.0615183i	−0.456553	−	0.889696i	$-0.650916\pi$
$397$	−20.2640	−	1.22574i	−1.01702	−	0.0615183i	−0.560466	+	0.828178i	$0.689378\pi$
$398$	33.9390	+	43.3199i	1.70121	+	2.17143i
$399$	−0.210776	−	1.82291i	−0.0105520	−	0.0912596i
$400$	−22.6574	−	25.5749i	−1.13287	−	1.27875i
$401$	5.21325	−	0.315343i	0.260337	−	0.0157475i	0.0703056	−	0.997525i	$-0.477603\pi$
$401$	5.21325	−	0.315343i	0.260337	−	0.0157475i	0.190031	+	0.981778i	$0.439141\pi$
$402$	−2.38725	−	2.13939i	−0.119065	−	0.106703i
$403$	0.862981	−	7.76337i	0.0429882	−	0.386721i
$404$	−36.2215	+	69.0142i	−1.80208	+	3.43359i
$405$	7.62203	+	4.84900i	0.378742	+	0.240949i
$406$	−3.96359	+	32.6431i	−0.196710	+	1.62005i
$407$	6.98427	+	3.66563i	0.346197	+	0.181698i
$408$	−18.9302	−	8.65025i	−0.937186	−	0.428251i
$409$	−32.0671	+	9.99250i	−1.58561	+	0.494097i	−0.958563	−	0.284880i	$-0.908046\pi$
$409$	−32.0671	+	9.99250i	−1.58561	+	0.494097i	−0.627051	+	0.778978i	$0.715738\pi$
$410$	−17.3649	+	1.05038i	−0.857593	+	0.0518748i
$411$	−3.24950	+	1.93912i	−0.160286	+	0.0956497i
$412$	−55.5474	+	49.2107i	−2.73662	+	2.42444i
$413$	12.0436	−	17.4482i	0.592628	−	0.858570i
$414$	−10.7686	+	23.2142i	−0.529250	+	1.14092i
$415$	−13.5747	−	5.14822i	−0.666358	−	0.252716i
$416$	27.9378	+	10.2731i	1.36976	+	0.503680i
$417$	16.1451	−	14.1394i	0.790627	−	0.692409i
$418$	3.19020	−	3.19020i	0.156038	−	0.156038i
$419$	−7.77859	−	2.95003i	−0.380009	−	0.144118i	0.157202	−	0.987567i	$-0.449753\pi$
$419$	−7.77859	−	2.95003i	−0.380009	−	0.144118i	−0.537211	+	0.843448i	$0.680522\pi$
$420$	−12.6402	+	6.54220i	−0.616778	+	0.319227i
$421$	5.32778	−	17.0975i	0.259660	−	0.833279i	−0.729183	−	0.684319i	$-0.760100\pi$
$421$	5.32778	−	17.0975i	0.259660	−	0.833279i	0.988843	−	0.148960i	$-0.0475926\pi$
$422$	14.7991	−	2.71203i	0.720408	−	0.132020i
$423$	22.3567	+	17.9316i	1.08702	+	0.871862i
$424$	55.8635	+	17.4078i	2.71297	+	0.845397i
$425$	6.86918	−	0.834069i	0.333204	−	0.0404583i
$426$	−0.163468	+	28.5998i	−0.00792005	+	1.38567i
$427$	−15.7474	−	15.7474i	−0.762071	−	0.762071i
$428$	−10.8229	−	28.5376i	−0.523145	−	1.37942i
$429$	−10.2836	−	14.7587i	−0.496496	−	0.712558i
$430$	5.17137	−	13.6358i	0.249386	−	0.657576i
$431$	5.60216	−	2.52133i	0.269846	−	0.121448i	−0.270972	−	0.962587i	$-0.587345\pi$
$431$	5.60216	−	2.52133i	0.269846	−	0.121448i	0.540819	+	0.841139i	$0.318114\pi$
$432$	39.7236	−	19.9874i	1.91120	−	0.961646i
$433$	11.3849	+	12.8509i	0.547125	+	0.617576i	0.955412	−	0.295277i	$-0.0954120\pi$
$433$	11.3849	+	12.8509i	0.547125	+	0.617576i	−0.408287	+	0.912854i	$0.633874\pi$
$434$	9.63153	−	1.76504i	0.462328	−	0.0847248i
$435$	−5.12502	−	11.5635i	−0.245726	−	0.554426i
$436$	−12.5585	−	40.3015i	−0.601441	−	1.93009i
$437$	−1.41385	+	1.41385i	−0.0676338	+	0.0676338i
$438$	31.9350	+	4.06296i	1.52591	+	0.194136i
$439$	−8.64129	−	1.04924i	−0.412426	−	0.0500776i	−0.0883059	−	0.996093i	$-0.528145\pi$
$439$	−8.64129	−	1.04924i	−0.412426	−	0.0500776i	−0.324121	+	0.946016i	$0.605068\pi$
$440$	−18.2793	−	8.22684i	−0.871431	−	0.392199i
$441$	2.69922	+	11.5162i	0.128534	+	0.548388i
$442$	−13.2005	+	9.31037i	−0.627884	+	0.442849i
$443$	−7.25695	−	13.8270i	−0.344788	−	0.656939i	0.649883	−	0.760034i	$-0.274818\pi$
$443$	−7.25695	−	13.8270i	−0.344788	−	0.656939i	−0.994672	+	0.103095i	$0.967125\pi$
$444$	8.99843	+	20.3030i	0.427046	+	0.963536i
$445$	5.74644	−	5.09090i	0.272407	−	0.241332i
$446$	−40.5224	−	9.98788i	−1.91879	−	0.472940i
$447$	5.56113	+	3.40537i	0.263032	+	0.161069i
$448$	−0.446049	+	7.37407i	−0.0210738	+	0.348392i
$449$	13.4259	+	29.8311i	0.633606	+	1.40782i	0.896523	+	0.442997i	$0.146085\pi$
$449$	13.4259	+	29.8311i	0.633606	+	1.40782i	−0.262917	+	0.964818i	$0.584685\pi$
$450$	−16.3194	+	26.3115i	−0.769304	+	1.24033i
$451$	17.1004	−	8.97496i	0.805224	−	0.422614i
$452$	3.17412	+	26.1412i	0.149298	+	1.22958i
$453$	−9.98094	−	32.6866i	−0.468946	−	1.53575i
$454$	4.76129	+	19.3173i	0.223458	+	0.906606i
$455$	−0.318103	+	6.31992i	−0.0149129	+	0.296282i
$456$	7.22828	−	0.835777i	0.338495	−	0.0391389i
$457$	10.6395	−	34.1434i	0.497695	−	1.59716i	−0.274375	−	0.961623i	$-0.588471\pi$
$457$	10.6395	−	34.1434i	0.497695	−	1.59716i	0.772070	−	0.635538i	$-0.219221\pi$
$458$	−10.2688	−	19.5656i	−0.479832	−	0.914243i
$459$	−1.23865	+	8.92018i	−0.0578154	+	0.416358i
$460$	14.1420	+	6.36479i	0.659373	+	0.296760i
$461$	0.869102	−	4.74254i	0.0404781	−	0.220882i	−0.957161	−	0.289556i	$-0.906492\pi$
$461$	0.869102	−	4.74254i	0.0404781	−	0.220882i	0.997639	+	0.0686742i	$0.0218769\pi$
$462$	14.0079	−	17.6708i	0.651707	−	0.822120i
$463$	−7.09633	+	38.7234i	−0.329794	+	1.79963i	0.232395	+	0.972622i	$0.425344\pi$
$463$	−7.09633	+	38.7234i	−0.329794	+	1.79963i	−0.562189	+	0.827009i	$0.690041\pi$
$464$	−61.8076	−	7.50480i	−2.86934	−	0.348401i
$465$	−2.83345	+	2.48145i	−0.131398	+	0.115075i
$466$	3.41655	+	10.9641i	0.158269	+	0.507902i
$467$	−1.48990	+	2.15849i	−0.0689444	+	0.0998832i	−0.855939	−	0.517076i	$-0.827020\pi$
$467$	−1.48990	+	2.15849i	−0.0689444	+	0.0998832i	0.786995	+	0.616959i	$0.211636\pi$
$468$	3.12392	−	50.5484i	0.144403	−	2.33660i
$469$	−0.711142	−	1.03027i	−0.0328375	−	0.0475733i
$470$	15.2867	−	19.5121i	0.705125	−	0.900026i
$471$	−12.9042	−	18.9254i	−0.594592	−	0.872035i
$472$	69.1863	+	47.7559i	3.18456	+	2.19814i
$473$	0.977497	+	16.1600i	0.0449454	+	0.743035i
$474$	1.15266	+	21.0515i	0.0529434	+	0.966929i
$475$	−1.90433	+	1.49195i	−0.0873769	+	0.0684554i
$476$	−11.1692	−	8.75052i	−0.511940	−	0.401079i
$477$	0.289417	−	25.3169i	0.0132515	−	1.15918i
$478$	20.6163	−	14.2304i	0.942970	−	0.650885i
$479$	16.4973	+	21.0572i	0.753780	+	0.962129i	0.999975	−	0.00709103i	$-0.00225716\pi$
$479$	16.4973	+	21.0572i	0.753780	+	0.962129i	−0.246195	+	0.969220i	$0.579180\pi$
$480$	−6.59744	−	12.7469i	−0.301131	−	0.581814i
$481$	9.81308	+	1.09083i	0.447438	+	0.0497375i
$482$	−69.3672	−	8.42270i	−3.15959	−	0.383644i
$483$	−6.20811	+	7.83145i	−0.282479	+	0.356343i
$484$	−12.6571			−0.575321
$485$	6.27205			0.284799
$486$	−27.6676	−	29.2960i	−1.25503	−	1.32889i
$487$	−16.1820	−	7.28293i	−0.733276	−	0.330021i	0.00914126	−	0.999958i	$-0.497090\pi$
$487$	−16.1820	−	7.28293i	−0.733276	−	0.330021i	−0.742418	+	0.669937i	$0.766321\pi$
$488$	62.4423	−	62.4423i	2.82663	−	2.82663i
$489$	14.9798	+	15.1520i	0.677409	+	0.685197i
$490$	9.93285	−	2.44823i	0.448720	−	0.110600i
$491$	8.18202	+	7.24863i	0.369249	+	0.327126i	0.827259	−	0.561821i	$-0.189899\pi$
$491$	8.18202	+	7.24863i	0.369249	+	0.327126i	−0.458010	+	0.888947i	$0.651437\pi$
$492$	53.4260	+	10.1066i	2.40863	+	0.455642i
$493$	8.36142	−	9.43810i	0.376580	−	0.425070i
$494$	2.26553	−	5.17310i	0.101931	−	0.232749i
$495$	−1.14384	+	8.59783i	−0.0514119	+	0.386444i
$496$	3.34199	+	18.2366i	0.150060	+	0.818850i
$497$	−2.67294	+	10.8445i	−0.119898	+	0.486444i
$498$	53.0852	+	37.0918i	2.37881	+	1.66213i
$499$	−18.5760	+	30.7285i	−0.831577	+	1.37560i	0.0934220	+	0.995627i	$0.470219\pi$
$499$	−18.5760	+	30.7285i	−0.831577	+	1.37560i	−0.924999	+	0.379970i	$0.875934\pi$
$500$	36.1667	+	21.8636i	1.61743	+	0.977768i
$501$	7.69083	−	24.1930i	0.343601	−	1.08086i
$502$	64.4412	+	3.89797i	2.87615	+	0.173975i
$503$	−15.0820	−	5.71984i	−0.672472	−	0.255035i	−0.00535260	−	0.999986i	$-0.501704\pi$
$503$	−15.0820	−	5.71984i	−0.672472	−	0.255035i	−0.667120	+	0.744951i	$0.732473\pi$
$504$	35.4086	−	8.29926i	1.57722	−	0.369679i
$505$	3.01190	−	16.4354i	0.134028	−	0.731366i
$506$	−24.5701			−1.09227
$507$	−18.7148	−	12.5203i	−0.831152	−	0.556045i
$508$	−18.3419			−0.813788
$509$	4.57654	−	24.9734i	0.202852	−	1.10693i	−0.711708	−	0.702475i	$-0.752078\pi$
$509$	4.57654	−	24.9734i	0.202852	−	1.10693i	0.914560	−	0.404451i	$-0.132537\pi$
$510$	7.72670	+	0.983037i	0.342144	+	0.0435296i
$511$	11.7549	+	4.45806i	0.520008	+	0.197213i
$512$	47.9282	+	2.89912i	2.11815	+	0.128124i
$513$	−1.24277	−	2.89286i	−0.0548696	−	0.127723i
$514$	−38.4226	−	23.2273i	−1.69475	−	1.02451i
$515$	8.23041	−	13.6148i	0.362675	−	0.599938i
$516$	−26.1069	+	37.3637i	−1.14929	+	1.64485i
$517$	−6.58523	+	26.7173i	−0.289618	+	1.17503i
$518$	2.23106	+	12.1745i	0.0980269	+	0.534916i
$519$	−26.0758	−	13.8763i	−1.14460	−	0.609103i
$520$	−25.0600	−	1.26135i	−1.09895	−	0.0553140i
$521$	25.2116	−	28.4580i	1.10454	−	1.24677i	0.137950	−	0.990439i	$-0.455949\pi$
$521$	25.2116	−	28.4580i	1.10454	−	1.24677i	0.966590	−	0.256328i	$-0.0825128\pi$
$522$	9.53479	+	55.6075i	0.417327	+	2.43388i
$523$	−3.75699	−	3.32840i	−0.164282	−	0.145541i	0.576977	−	0.816760i	$-0.304232\pi$
$523$	−3.75699	−	3.32840i	−0.164282	−	0.145541i	−0.741258	+	0.671220i	$0.765771\pi$
$524$	−67.4415	+	16.6228i	−2.94620	+	0.726172i
$525$	−8.59851	+	8.50078i	−0.375270	+	0.371004i
$526$	38.9144	−	38.9144i	1.69675	−	1.69675i
$527$	−3.42398	−	1.54101i	−0.149151	−	0.0671274i
$528$	33.4584	+	26.5230i	1.45609	+	1.15427i
$529$	−12.1109			−0.526559
$530$	−21.8977			−0.951175
$531$	11.2183	−	34.6030i	0.486831	−	1.50164i
$532$	4.92439	+	0.597930i	0.213500	+	0.0259235i
$533$	15.8466	−	18.2562i	0.686393	−	0.790764i
$534$	−30.4127	+	15.7408i	−1.31609	+	0.681170i
$535$	4.03523	+	5.15059i	0.174458	+	0.222679i
$536$	4.08526	−	2.81985i	0.176456	−	0.121799i
$537$	8.90887	−	23.0918i	0.384446	−	0.996486i
$538$	13.1396	+	10.2942i	0.566489	+	0.443816i
$539$	−8.93982	+	7.00390i	−0.385065	+	0.301679i
$540$	−17.5612	+	16.9690i	−0.755713	+	0.730231i
$541$	−0.669589	−	11.0696i	−0.0287879	−	0.475921i	−0.983790	−	0.179323i	$-0.942609\pi$
$541$	−0.669589	−	11.0696i	−0.0287879	−	0.475921i	0.955002	−	0.296598i	$-0.0958521\pi$
$542$	−0.798901	−	0.551442i	−0.0343157	−	0.0236864i
$543$	−31.5436	+	21.5078i	−1.35366	+	0.922988i
$544$	8.82440	−	11.2635i	0.378343	−	0.482919i
$545$	5.14073	+	7.44763i	0.220205	+	0.319021i
$546$	8.27854	−	26.9850i	0.354289	−	1.15485i
$547$	14.7445	−	21.3611i	0.630429	−	0.913335i	−0.369444	−	0.929253i	$-0.620452\pi$
$547$	14.7445	−	21.3611i	0.630429	−	0.913335i	0.999873	+	0.0159183i	$0.00506717\pi$
$548$	−3.04324	−	9.76611i	−0.130001	−	0.417187i
$549$	−33.6283	−	18.1428i	−1.43522	−	0.774316i
$550$	−29.5105	−	3.58322i	−1.25833	−	0.152789i
$551$	−0.794617	+	4.33609i	−0.0338518	+	0.184724i
$552$	−31.0536	−	24.6167i	−1.32173	−	1.04776i
$553$	−1.48412	+	8.09858i	−0.0631112	+	0.344386i
$554$	12.0181	+	5.40893i	0.510602	+	0.229803i
$555$	−3.13661	−	3.58154i	−0.133142	−	0.152028i
$556$	26.9607	+	51.3693i	1.14339	+	2.17854i
$557$	5.08786	−	16.3275i	0.215580	−	0.691819i	−0.782063	−	0.623199i	$-0.785833\pi$
$557$	5.08786	−	16.3275i	0.215580	−	0.691819i	0.997643	−	0.0686203i	$-0.0218597\pi$
$558$	14.9644	−	7.63705i	0.633495	−	0.323302i
$559$	8.50378	+	18.3947i	0.359671	+	0.778013i
$560$	−3.59445	−	14.5833i	−0.151893	−	0.616255i
$561$	−8.26980	+	2.52521i	−0.349151	+	0.106614i
$562$	4.91457	+	40.4751i	0.207309	+	1.70734i
$563$	−2.05330	+	1.07766i	−0.0865364	+	0.0454178i	−0.507436	−	0.861689i	$-0.669407\pi$
$563$	−2.05330	+	1.07766i	−0.0865364	+	0.0454178i	0.420900	+	0.907107i	$0.361714\pi$
$564$	−61.2575	+	47.4296i	−2.57940	+	1.99715i
$565$	−2.31690	−	5.14793i	−0.0974725	−	0.216575i
$566$	−0.476490	+	7.87731i	−0.0200284	+	0.331108i
$567$	−7.83109	−	13.6496i	−0.328875	−	0.573229i
$568$	−43.0012	−	10.5988i	−1.80429	−	0.444718i
$569$	19.3838	−	17.1726i	0.812613	−	0.719912i	−0.150617	−	0.988592i	$-0.548126\pi$
$569$	19.3838	−	17.1726i	0.812613	−	0.719912i	0.963229	+	0.268680i	$0.0865875\pi$
$570$	−2.48955	+	1.10339i	−0.104276	+	0.0462158i
$571$	−10.8122	−	20.6008i	−0.452475	−	0.862118i	−0.999684	−	0.0251227i	$-0.992002\pi$
$571$	−10.8122	−	20.6008i	−0.452475	−	0.862118i	0.547210	−	0.836995i	$-0.315690\pi$
$572$	45.2891	−	17.7024i	1.89363	−	0.740174i
$573$	−30.8675	−	3.92714i	−1.28951	−	0.164059i
$574$	27.6347	+	12.4374i	1.15345	+	0.519125i
$575$	13.0786	+	1.58803i	0.545417	+	0.0662256i
$576$	2.89251	+	12.3408i	0.120521	+	0.514200i
$577$	−7.34253	+	7.34253i	−0.305674	+	0.305674i	−0.843229	−	0.537555i	$-0.819348\pi$
$577$	−7.34253	+	7.34253i	−0.305674	+	0.305674i	0.537555	+	0.843229i	$0.319348\pi$
$578$	−10.7636	−	34.5416i	−0.447706	−	1.43674i
$579$	−21.4036	+	9.48623i	−0.889502	+	0.394234i
$580$	33.6311	−	6.16313i	1.39646	−	0.255910i
$581$	16.7706	+	18.9301i	0.695760	+	0.785351i
$582$	−27.1254	−	6.85051i	−1.12439	−	0.283963i
$583$	22.1675	−	9.97680i	0.918085	−	0.413197i
$584$	−17.6773	+	46.6112i	−0.731492	+	1.92879i
$585$	2.58451	+	10.5451i	0.106857	+	0.435985i
$586$	14.7137	+	38.7968i	0.607816	+	1.60268i
$587$	16.3750	+	16.3750i	0.675869	+	0.675869i	0.959063	−	0.283194i	$-0.0913939\pi$
$587$	16.3750	+	16.3750i	0.675869	+	0.675869i	−0.283194	+	0.959063i	$0.591394\pi$
$588$	−31.9739	−	0.182753i	−1.31858	−	0.00753661i
$589$	1.30314	−	0.158230i	0.0536949	−	0.00651974i
$590$	−30.0366	−	9.35980i	−1.23659	−	0.385337i
$591$	−19.1389	−	32.0722i	−0.787269	−	1.31928i
$592$	−23.0515	+	4.22435i	−0.947412	+	0.173620i
$593$	5.40384	−	17.3415i	0.221909	−	0.712131i	−0.774884	−	0.632104i	$-0.782192\pi$
$593$	5.40384	−	17.3415i	0.221909	−	0.712131i	0.996793	−	0.0800274i	$-0.0255008\pi$
$594$	14.3377	−	35.9347i	0.588283	−	1.47442i
$595$	2.84412	+	1.07863i	0.116597	+	0.0442196i
$596$	−12.4646	+	12.4646i	−0.510568	+	0.510568i
$597$	24.2935	+	27.7396i	0.994268	+	1.13530i
$598$	−28.6452	+	11.1967i	−1.17139	+	0.457867i
$599$	24.7101	+	9.37129i	1.00963	+	0.382900i	0.803295	−	0.595582i	$-0.203078\pi$
$599$	24.7101	+	9.37129i	1.00963	+	0.382900i	0.206331	+	0.978482i	$0.433848\pi$
$600$	−33.7076	−	34.0952i	−1.37611	−	1.39193i
$601$	−14.9345	+	21.6363i	−0.609190	+	0.882563i	−0.999269	−	0.0382175i	$-0.987832\pi$
$601$	−14.9345	+	21.6363i	−0.609190	+	0.882563i	0.390080	+	0.920781i	$0.372447\pi$
$602$	−19.0152	+	16.8460i	−0.775001	+	0.686591i
$603$	−1.67554	−	1.34389i	−0.0682333	−	0.0547276i
$604$	92.2180	−	5.57816i	3.75230	−	0.226972i
$605$	2.59054	−	0.807246i	0.105321	−	0.0328192i
$606$	−30.9771	+	67.7904i	−1.25836	+	2.75380i
$607$	−19.0888	−	10.0186i	−0.774791	−	0.406641i	0.0304902	−	0.999535i	$-0.490293\pi$
$607$	−19.0888	−	10.0186i	−0.774791	−	0.406641i	−0.805281	+	0.592894i	$0.797985\pi$
$608$	−0.602978	+	4.96597i	−0.0244540	+	0.201397i
$609$	−1.45600	+	21.9848i	−0.0590001	+	0.890871i
$610$	−15.3580	+	29.2622i	−0.621827	+	1.18479i
$611$	4.49778	+	34.1495i	0.181961	+	1.38154i
$612$	−22.6624	−	8.89234i	−0.916074	−	0.359452i
$613$	−21.6664	+	1.31057i	−0.875096	+	0.0529336i	−0.491817	−	0.870699i	$-0.663667\pi$
$613$	−21.6664	+	1.31057i	−0.875096	+	0.0529336i	−0.383280	+	0.923632i	$0.625205\pi$
$614$	16.8281	+	18.9950i	0.679125	+	0.766574i
$615$	−11.5794	+	1.33888i	−0.466926	+	0.0539888i
$616$	21.5348	+	27.4871i	0.867662	+	1.10749i
$617$	2.98249	+	0.180408i	0.120071	+	0.00726293i	0.120305	−	0.992737i	$-0.461613\pi$
$617$	2.98249	+	0.180408i	0.120071	+	0.00726293i	−0.000233880		1.00000i	$0.500074\pi$
$618$	−50.4654	+	49.8918i	−2.03002	+	2.00694i
$619$	−2.35478	−	7.55674i	−0.0946464	−	0.303731i	0.895242	−	0.445581i	$-0.147003\pi$
$619$	−2.35478	−	7.55674i	−0.0946464	−	0.303731i	−0.989888	+	0.141850i	$0.954695\pi$
$620$	−4.73158	−	9.01528i	−0.190025	−	0.362062i
$621$	−6.35427	+	15.9258i	−0.254988	+	0.639079i
$622$	22.8946	+	1.38487i	0.917991	+	0.0555282i
$623$	−12.9848	+	3.20047i	−0.520225	+	0.128224i
$624$	51.0943	+	15.6748i	2.04541	+	0.627496i
$625$	10.5857	+	2.60913i	0.423426	+	0.104365i
$626$	68.4449	+	21.3283i	2.73561	+	0.852450i
$627$	2.01751	−	2.25125i	0.0805718	−	0.0899062i
$628$	57.8963	−	21.9572i	2.31032	−	0.876187i
$629$	1.94787	−	4.32799i	0.0776667	−	0.172568i
$630$	−11.7272	+	6.90752i	−0.467222	+	0.275202i
$631$	−17.6969	−	29.2743i	−0.704503	−	1.16539i	−0.979011	−	0.203805i	$-0.934669\pi$
$631$	−17.6969	−	29.2743i	−0.704503	−	1.16539i	0.274509	−	0.961585i	$-0.411485\pi$
$632$	−32.1128	−	5.88489i	−1.27738	−	0.234088i
$633$	9.80186	−	2.35660i	0.389589	−	0.0936663i
$634$	56.0019	−	21.2387i	2.22412	−	0.843498i
$635$	3.75406	−	1.16981i	0.148975	−	0.0464226i
$636$	66.3581	+	16.7587i	2.63127	+	0.664525i
$637$	−7.23082	+	12.2394i	−0.286496	+	0.484944i
$638$	−44.5809	+	30.7720i	−1.76498	+	1.21828i
$639$	0.938327	+	19.1405i	0.0371196	+	0.757185i
$640$	−5.44775	+	1.34275i	−0.215341	+	0.0530769i
$641$	−1.45664	+	2.11030i	−0.0575337	+	0.0833519i	−0.850695	−	0.525660i	$-0.823818\pi$
$641$	−1.45664	+	2.11030i	−0.0575337	+	0.0833519i	0.793161	+	0.609012i	$0.208434\pi$
$642$	−11.8260	−	26.6827i	−0.466734	−	1.05308i
$643$	2.05633	−	6.59900i	0.0810938	−	0.260239i	−0.905265	−	0.424847i	$-0.860328\pi$
$643$	2.05633	−	6.59900i	0.0810938	−	0.260239i	0.986359	+	0.164607i	$0.0526357\pi$
$644$	−16.6606	−	21.2657i	−0.656521	−	0.837987i
$645$	2.96035	−	9.31236i	0.116564	−	0.366674i
$646$	−2.03197	−	1.80017i	−0.0799467	−	0.0708266i
$647$	−10.1281	−	14.6731i	−0.398178	−	0.576861i	0.571696	−	0.820465i	$-0.306286\pi$
$647$	−10.1281	−	14.6731i	−0.398178	−	0.576861i	−0.969875	+	0.243604i	$0.921670\pi$
$648$	54.1239	−	31.0522i	2.12619	−	1.21984i
$649$	34.6712	−	4.20985i	1.36096	−	0.165251i
$650$	−36.0378	+	9.27054i	−1.41352	+	0.363620i
$651$	6.37924	−	1.53372i	0.250022	−	0.0601112i
$652$	−49.2903	+	29.7970i	−1.93036	+	1.16694i
$653$			37.4614i			1.46598i	0.680242	+	0.732988i	$0.261875\pi$
$653$			37.4614i			1.46598i	−0.680242	+	0.732988i	$0.738125\pi$
$654$	−14.0982	−	37.8245i	−0.551282	−	1.47905i
$655$	12.7432	−	7.70353i	0.497918	−	0.301002i
$656$	−23.5493	+	52.3244i	−0.919445	+	2.04292i
$657$	21.5147	+	1.54842i	0.839369	+	0.0604097i
$658$	−39.3746	+	17.7211i	−1.53498	+	0.690839i
$659$	1.36285	+	5.52930i	0.0530891	+	0.215391i	0.991495	−	0.130144i	$-0.0415438\pi$
$659$	1.36285	+	5.52930i	0.0530891	+	0.215391i	−0.938406	+	0.345534i	$0.887698\pi$
$660$	−21.8751	−	8.43946i	−0.851487	−	0.328505i
$661$	−12.3674	−	7.47636i	−0.481037	−	0.290797i	0.255967	−	0.966685i	$-0.417606\pi$
$661$	−12.3674	−	7.47636i	−0.481037	−	0.290797i	−0.737004	+	0.675889i	$0.763760\pi$
$662$	39.6702	+	35.1447i	1.54183	+	1.36594i
$663$	−8.49063	+	6.71261i	−0.329749	+	0.260696i
$664$	−75.0622	+	66.4993i	−2.91298	+	2.58068i
$665$	−1.04602	+	0.191690i	−0.0405629	+	0.00743343i
$666$	9.65341	+	18.9154i	0.374062	+	0.732957i
$667$	19.7577	−	13.6377i	0.765020	−	0.528055i
$668$	58.7272	+	35.5019i	2.27223	+	1.37361i
$669$	−27.4771	−	5.19786i	−1.06233	−	0.200961i
$670$	−1.14568	+	1.46235i	−0.0442613	+	0.0564954i
$671$	2.21511	−	36.6201i	0.0855132	−	1.41370i
$672$	−0.142905	+	25.0022i	−0.00551268	+	0.964480i
$673$	−7.83121	+	14.9211i	−0.301871	+	0.575167i	−0.988389	−	0.151946i	$-0.951446\pi$
$673$	−7.83121	+	14.9211i	−0.301871	+	0.575167i	0.686518	+	0.727113i	$0.259138\pi$
$674$	48.6161	+	8.90924i	1.87262	+	0.343171i
$675$	−9.95451	+	18.2013i	−0.383149	+	0.700569i
$676$	44.7334	−	41.2768i	1.72052	−	1.58757i
$677$		−	39.0027i		−	1.49899i	−0.662008	−	0.749497i	$-0.730295\pi$
$677$		−	39.0027i		−	1.49899i	0.662008	−	0.749497i	$-0.269705\pi$
$678$	4.39742	+	24.7944i	0.168882	+	0.952224i
$679$	−9.67426	−	5.07744i	−0.371264	−	0.194854i
$680$	−4.27703	+	11.2776i	−0.164017	+	0.432477i
$681$	3.89315	+	12.7497i	0.149186	+	0.488569i
$682$	12.6979	+	9.94817i	0.486228	+	0.380935i
$683$	2.65012	−	4.38384i	0.101404	−	0.167743i	−0.800959	−	0.598719i	$-0.795677\pi$
$683$	2.65012	−	4.38384i	0.101404	−	0.167743i	0.902364	+	0.430976i	$0.141831\pi$
$684$	8.38870	−	1.43837i	0.320750	−	0.0549976i
$685$	1.24573	+	1.80475i	0.0475970	+	0.0689561i
$686$	−48.0222	−	11.8364i	−1.83350	−	0.451916i
$687$	−7.58704	−	12.7141i	−0.289464	−	0.485072i
$688$	−31.8967	−	36.0039i	−1.21605	−	1.37264i
$689$	21.2977	−	21.7333i	0.811376	−	0.827974i
$690$	13.8359	+	5.33793i	0.526724	+	0.203211i
$691$	−1.51906	+	2.51284i	−0.0577879	+	0.0955928i	−0.883339	−	0.468734i	$-0.844710\pi$
$691$	−1.51906	+	2.51284i	−0.0577879	+	0.0955928i	0.825552	+	0.564327i	$0.190864\pi$
$692$	52.9491	−	59.7672i	2.01282	−	2.27201i
$693$	8.72455	−	12.3357i	0.331418	−	0.468593i
$694$	−17.6573	−	39.2329i	−0.670261	−	1.48926i
$695$	−8.79435	−	8.79435i	−0.333589	−	0.333589i
$696$	−87.1752	−	5.77339i	−3.30437	−	0.218840i
$697$	−6.01171	−	9.94458i	−0.227710	−	0.376678i
$698$		−	90.7807i		−	3.43610i
$699$	2.68746	+	7.21029i	0.101649	+	0.272718i
$700$	−16.9093	−	27.9714i	−0.639112	−	1.05722i
$701$	2.61088	−	21.5026i	0.0986117	−	0.812140i	−0.856552	−	0.516061i	$-0.827398\pi$
$701$	2.61088	−	21.5026i	0.0986117	−	0.812140i	0.955163	−	0.296079i	$-0.0956792\pi$
$702$	0.340096	−	48.4284i	0.0128361	−	1.82781i
$703$	0.200006	+	1.64720i	0.00754337	+	0.0621252i
$704$	−9.57998	+	7.50543i	−0.361059	+	0.282872i
$705$	9.51269	−	13.6144i	0.358269	−	0.512748i
$706$	3.48659	−	3.93555i	0.131220	−	0.148116i
$707$	−17.9507	+	22.9124i	−0.675106	+	0.861709i
$708$	83.8589	+	51.3512i	3.15161	+	1.92990i
$709$	46.0744	+	14.3574i	1.73036	+	0.539202i	0.990971	−	0.134076i	$-0.0428067\pi$
$709$	46.0744	+	14.3574i	1.73036	+	0.539202i	0.739389	+	0.673278i	$0.235114\pi$
$710$	16.5440	−	1.00073i	0.620885	−	0.0375567i
$711$	1.54236	+	14.0421i	0.0578429	+	0.526621i
$712$	−12.6906	−	51.4879i	−0.475601	−	1.92959i
$713$	−5.62754	−	4.40889i	−0.210753	−	0.165114i
$714$	−11.1222	−	7.77131i	−0.416236	−	0.290834i
$715$	−8.14037	+	6.51164i	−0.304433	+	0.243522i
$716$	55.0632	+	38.0074i	2.05781	+	1.42040i
$717$	13.2719	−	10.2760i	0.495648	−	0.383764i
$718$	−17.2425	−	45.4647i	−0.643484	−	1.69673i
$719$	4.37469	−	36.0288i	0.163148	−	1.34365i	−0.649264	−	0.760563i	$-0.724923\pi$
$719$	4.37469	−	36.0288i	0.163148	−	1.34365i	0.812412	−	0.583084i	$-0.198154\pi$
$720$	−13.0789	−	22.2046i	−0.487423	−	0.827516i
$721$	−23.7165	+	14.3371i	−0.883250	+	0.533943i
$722$	−47.3766	−	8.68208i	−1.76317	−	0.323114i
$723$	−46.7181	−	3.09402i	−1.73747	−	0.115068i
$724$	−36.5968	−	96.4978i	−1.36011	−	3.58631i
$725$	25.7193	−	13.4985i	0.955190	−	0.501322i
$726$	−12.0853	+	0.661722i	−0.448528	+	0.0245588i
$727$	−9.94709	+	40.3569i	−0.368917	+	1.49676i	0.434135	+	0.900848i	$0.357054\pi$
$727$	−9.94709	+	40.3569i	−0.368917	+	1.49676i	−0.803052	+	0.595909i	$0.796792\pi$
$728$	37.6325	+	22.2325i	1.39475	+	0.823992i
$729$	−19.5840	−	18.5867i	−0.725334	−	0.688397i
$730$	1.12642	−	18.6219i	0.0416906	−	0.689228i
$731$	9.67031	−	1.17419i	0.357669	−	0.0434289i
$732$	68.9353	−	76.9216i	2.54792	−	2.84310i
$733$	−28.0145	+	8.72969i	−1.03474	+	0.322438i	−0.767403	−	0.641165i	$-0.778452\pi$
$733$	−28.0145	+	8.72969i	−1.03474	+	0.322438i	−0.267337	+	0.963603i	$0.586144\pi$
$734$	−0.197043	+	0.0886816i	−0.00727297	+	0.00327330i
$735$	6.55581	−	2.00184i	0.241815	−	0.0738388i
$736$	21.4453	−	16.8013i	0.790484	−	0.619304i
$737$	0.493535	−	2.00235i	0.0181796	−	0.0737575i
$738$	51.5411	+	6.85694i	1.89725	+	0.252408i
$739$	−2.46203	−	40.7021i	−0.0905671	−	1.49725i	−0.705521	−	0.708689i	$-0.749287\pi$
$739$	−2.46203	−	40.7021i	−0.0905671	−	1.49725i	0.614954	−	0.788563i	$-0.289175\pi$
$740$	11.3955	−	5.98083i	0.418908	−	0.219860i
$741$	1.32623	−	3.54402i	0.0487201	−	0.130193i
$742$	33.7759	+	17.7269i	1.23995	+	0.650776i
$743$	−2.97899	+	6.61904i	−0.109288	+	0.242829i	−0.958425	−	0.285344i	$-0.907892\pi$
$743$	−2.97899	+	6.61904i	−0.109288	+	0.242829i	0.849137	+	0.528173i	$0.177123\pi$
$744$	6.08157	+	25.2952i	0.222961	+	0.927368i
$745$	1.75618	−	3.34611i	0.0643413	−	0.122592i
$746$	30.3790	+	30.3790i	1.11225	+	1.11225i
$747$	36.8750	+	22.8713i	1.34919	+	0.836819i
$748$	−1.41129	−	23.3314i	−0.0516019	−	0.853082i
$749$	−2.05451	−	11.2111i	−0.0750703	−	0.409646i
$750$	35.6761	+	18.9851i	1.30271	+	0.693238i
$751$	15.2203	+	10.5058i	0.555397	+	0.383363i	0.812447	−	0.583035i	$-0.198135\pi$
$751$	15.2203	+	10.5058i	0.555397	+	0.383363i	−0.257050	+	0.966398i	$0.582750\pi$
$752$	−33.5536	−	74.5531i	−1.22358	−	2.71867i
$753$	43.2567	+	0.247242i	1.57636	+	0.00901001i
$754$	−37.9520	+	56.1914i	−1.38213	+	2.04637i
$755$	−18.5187	+	7.02321i	−0.673963	+	0.255601i
$756$	40.8241	−	11.9573i	1.48476	−	0.434884i
$757$	5.22145	−	13.7678i	0.189777	−	0.500401i	−0.806031	−	0.591874i	$-0.798388\pi$
$757$	5.22145	−	13.7678i	0.189777	−	0.500401i	0.995808	+	0.0914733i	$0.0291576\pi$
$758$	9.10962	+	75.0245i	0.330876	+	2.72501i
$759$	−16.4384	+	0.900074i	−0.596677	+	0.0326706i
$760$	−0.760098	−	4.14772i	−0.0275717	−	0.150454i
$761$	5.24420	+	28.6167i	0.190102	+	1.03735i	0.930804	+	0.365519i	$0.119109\pi$
$761$	5.24420	+	28.6167i	0.190102	+	1.03735i	−0.740702	+	0.671834i	$0.765507\pi$
$762$	−17.5133	+	0.958929i	−0.634441	+	0.0347383i
$763$	−1.90015	−	15.6491i	−0.0687900	−	0.566536i
$764$	29.8273	−	78.6481i	1.07911	−	2.84539i
$765$	5.20550	+	0.374642i	0.188205	+	0.0135452i
$766$	−47.2490	+	17.9192i	−1.70717	+	0.647446i
$767$	38.5032	−	20.7079i	1.39027	−	0.747719i
$768$	39.6630	+	0.226702i	1.43121	+	0.00818040i
$769$	10.2791	+	22.8391i	0.370672	+	0.823600i	0.998959	+	0.0456180i	$0.0145257\pi$
$769$	10.2791	+	22.8391i	0.370672	+	0.823600i	−0.628287	+

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:	\( N \)	\(=\)	\( 507 = 3 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	507.s (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.465956 + 2.54264i) q^{2} +(-0.218600 + 1.71820i) q^{3} +(-4.37786 - 1.66030i) q^{4} +(1.00192 + 0.0606047i) q^{5} +(-4.26690 - 1.35643i) q^{6} +(-1.49633 - 0.904565i) q^{7} +(3.58682 - 5.93332i) q^{8} +(-2.90443 - 0.751197i) q^{9} +(-0.620944 + 2.51927i) q^{10} +(-0.519207 - 2.83322i) q^{11} +(3.80973 - 7.15910i) q^{12} +(-1.89643 - 3.06652i) q^{13} +(2.99720 - 3.38314i) q^{14} +(-0.323150 + 1.70824i) q^{15} +(6.40575 + 5.67500i) q^{16} +(-1.68280 + 0.414772i) q^{17} +(3.26336 - 7.03488i) q^{18} +(0.428458 - 0.428458i) q^{19} +(-4.28562 - 1.92880i) q^{20} +(1.88132 - 2.37326i) q^{21} +7.44578 q^{22} -3.29987 q^{23} +(9.41056 + 7.45989i) q^{24} +(-3.96338 - 0.481242i) q^{25} +(8.68070 - 3.39307i) q^{26} +(1.92561 - 4.82618i) q^{27} +(5.04888 + 6.44442i) q^{28} +(-5.98741 + 4.13281i) q^{29} +(-4.19287 - 1.61762i) q^{30} +(1.70538 + 1.33608i) q^{31} +(-6.49883 + 5.09151i) q^{32} +(4.98154 - 0.272761i) q^{33} +(-0.270507 - 4.47201i) q^{34} +(-1.44438 - 0.996982i) q^{35} +(11.4680 + 8.11086i) q^{36} +(-1.68884 + 2.15564i) q^{37} +(0.889771 + 1.28906i) q^{38} +(5.68346 - 2.58811i) q^{39} +(3.95327 - 5.72731i) q^{40} +(1.99469 + 6.40120i) q^{41} +(5.15773 + 5.88935i) q^{42} +(-5.57958 - 0.677484i) q^{43} +(-2.43099 + 13.2655i) q^{44} +(-2.86447 - 0.928658i) q^{45} +(1.53759 - 8.39037i) q^{46} +(-8.71152 - 3.92074i) q^{47} +(-11.1511 + 9.76581i) q^{48} +(-1.83229 - 3.49113i) q^{49} +(3.07038 - 9.85321i) q^{50} +(-0.344803 - 2.98205i) q^{51} +(3.21095 + 16.5734i) q^{52} +(2.01971 + 8.19427i) q^{53} +(11.3740 + 7.14492i) q^{54} +(-0.348495 - 2.87012i) q^{55} +(-10.7341 + 5.63371i) q^{56} +(0.642516 + 0.829837i) q^{57} +(-7.71837 - 17.1495i) q^{58} +(-0.732110 + 12.1032i) q^{59} +(4.25090 - 6.94192i) q^{60} +(12.3667 + 3.04811i) q^{61} +(-4.19180 + 3.71361i) q^{62} +(3.66648 + 3.75128i) q^{63} +(-1.96349 - 3.74112i) q^{64} +(-1.71422 - 3.18733i) q^{65} +(-1.62765 + 12.7934i) q^{66} +(0.652891 + 0.293842i) q^{67} +(8.05570 + 0.978138i) q^{68} +(0.721351 - 5.66984i) q^{69} +(3.20798 - 3.20798i) q^{70} +(-1.90040 - 6.09858i) q^{71} +(-14.8747 + 14.5385i) q^{72} +(-7.07235 + 1.29606i) q^{73} +(-4.69409 - 5.29853i) q^{74} +(1.69326 - 6.70469i) q^{75} +(-2.58710 + 1.16436i) q^{76} +(-1.78593 + 4.70910i) q^{77} +(3.93238 + 15.6569i) q^{78} +(-1.66979 - 4.40286i) q^{79} +(6.07409 + 6.07409i) q^{80} +(7.87141 + 4.36359i) q^{81} +(-17.2054 + 2.08911i) q^{82} +(-13.8091 - 4.30309i) q^{83} +(-12.1765 + 7.26624i) q^{84} +(-1.71116 + 0.313581i) q^{85} +(4.32243 - 13.8712i) q^{86} +(-5.79215 - 11.1910i) q^{87} +(-18.6727 - 7.08163i) q^{88} +(5.40831 - 5.40831i) q^{89} +(3.69595 - 6.85058i) q^{90} +(0.0638260 + 6.30398i) q^{91} +(14.4464 + 5.47878i) q^{92} +(-2.66845 + 2.63812i) q^{93} +(14.0282 - 20.3233i) q^{94} +(0.455245 - 0.403312i) q^{95} +(-7.32759 - 12.2793i) q^{96} +(6.23724 - 0.377283i) q^{97} +(9.73045 - 3.03213i) q^{98} +(-0.620307 + 8.61892i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1392 q - 22 q^{3} - 52 q^{4} - 22 q^{6} - 56 q^{7} - 22 q^{9} - 52 q^{10} - 26 q^{12} - 44 q^{13} - 34 q^{15} + 48 q^{16} - 34 q^{18} - 56 q^{19} - 22 q^{21} - 96 q^{22} - 194 q^{24} - 52 q^{25} - 34 q^{27}+ \cdots - 58 q^{99}+O(q^{100}) \) 1392 * q - 22 * q^3 - 52 * q^4 - 22 * q^6 - 56 * q^7 - 22 * q^9 - 52 * q^10 - 26 * q^12 - 44 * q^13 - 34 * q^15 + 48 * q^16 - 34 * q^18 - 56 * q^19 - 22 * q^21 - 96 * q^22 - 194 * q^24 - 52 * q^25 - 34 * q^27 - 56 * q^28 + 78 * q^30 - 32 * q^31 - 10 * q^33 - 52 * q^34 - 26 * q^36 - 56 * q^37 + 70 * q^39 - 36 * q^40 - 10 * q^42 - 52 * q^43 - 140 * q^45 - 180 * q^46 - 2 * q^48 - 52 * q^49 - 26 * q^51 - 64 * q^52 - 22 * q^54 + 132 * q^55 - 22 * q^57 - 60 * q^58 - 18 * q^60 - 92 * q^61 + 108 * q^63 - 52 * q^64 - 124 * q^66 - 240 * q^67 - 104 * q^69 - 268 * q^70 - 2 * q^72 - 56 * q^73 + 104 * q^75 - 48 * q^76 - 22 * q^78 - 12 * q^79 + 2 * q^81 + 208 * q^82 - 22 * q^84 - 52 * q^85 - 26 * q^87 - 260 * q^88 - 26 * q^90 - 32 * q^91 - 176 * q^93 - 240 * q^94 + 292 * q^96 - 80 * q^97 - 58 * q^99

Introduction

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