LMFDB - Embedded newform 930.2.bj.a.277.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			277.14
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.a.883.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(1.11441 + 1.93858i) q^{5} -1.00000i q^{6} +(-1.22295 + 2.40017i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(1.11441 + 1.93858i) q^{5} -1.00000i q^{6} +(-1.22295 + 2.40017i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-1.74038 + 1.40395i) q^{10} +(-2.25129 + 0.731487i) q^{11} +(0.987688 - 0.156434i) q^{12} +(-5.58754 - 0.884980i) q^{13} +(-2.56193 - 0.832422i) q^{14} +(-0.797431 - 2.08904i) q^{15} +(0.809017 - 0.587785i) q^{16} +(2.14866 + 4.21699i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(3.94782 - 5.43370i) q^{19} +(-1.65892 - 1.49933i) q^{20} +(1.58336 - 2.17931i) q^{21} +(-1.07466 - 2.10914i) q^{22} +(1.79654 - 0.915381i) q^{23} +(0.309017 + 0.951057i) q^{24} +(-2.51617 + 4.32075i) q^{25} -5.65719i q^{26} +(-0.891007 - 0.453990i) q^{27} +(0.421399 - 2.66061i) q^{28} +(-5.77673 - 4.19704i) q^{29} +(1.93858 - 1.11441i) q^{30} +(-5.54654 + 0.485746i) q^{31} +(0.707107 + 0.707107i) q^{32} +(2.33800 - 0.370303i) q^{33} +(-3.82894 + 2.78189i) q^{34} +(-6.01579 + 0.303998i) q^{35} -1.00000 q^{36} +(-0.579398 + 0.579398i) q^{37} +(5.98438 + 3.04919i) q^{38} +(5.38031 + 1.74817i) q^{39} +(1.22135 - 1.87304i) q^{40} +(-0.127816 - 0.0928641i) q^{41} +(2.40017 + 1.22295i) q^{42} +(-0.142156 - 0.897535i) q^{43} +(1.91506 - 1.39137i) q^{44} +(0.460815 + 2.18807i) q^{45} +(1.18515 + 1.63122i) q^{46} +(3.04015 + 0.481512i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(-0.150722 - 0.207450i) q^{49} +(-4.66117 - 1.80928i) q^{50} +(-1.46253 - 4.50119i) q^{51} +(5.58754 - 0.884980i) q^{52} +(-5.73070 + 2.91994i) q^{53} +(0.309017 - 0.951057i) q^{54} +(-3.92691 - 3.54912i) q^{55} +2.69377 q^{56} +(-4.74923 + 4.74923i) q^{57} +(3.24169 - 6.36217i) q^{58} +(-3.86364 - 5.31785i) q^{59} +(1.40395 + 1.74038i) q^{60} +6.99712i q^{61} +(-1.34743 - 5.40226i) q^{62} +(-1.90479 + 1.90479i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-4.51122 - 11.8181i) q^{65} +(0.731487 + 2.25129i) q^{66} +(-10.9615 - 10.9615i) q^{67} +(-3.34662 - 3.34662i) q^{68} +(-1.91761 + 0.623071i) q^{69} +(-1.24133 - 5.89417i) q^{70} +(4.31319 - 13.2746i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(-3.77829 + 7.41531i) q^{73} +(-0.662902 - 0.481627i) q^{74} +(3.16111 - 3.87394i) q^{75} +(-2.07549 + 6.38770i) q^{76} +(0.997512 - 6.29804i) q^{77} +(-0.884980 + 5.58754i) q^{78} +(-3.06543 + 9.43441i) q^{79} +(2.04105 + 0.913308i) q^{80} +(0.809017 + 0.587785i) q^{81} +(0.0717259 - 0.140770i) q^{82} +(-0.493035 - 3.11290i) q^{83} +(-0.832422 + 2.56193i) q^{84} +(-5.78047 + 8.86481i) q^{85} +(0.864246 - 0.280811i) q^{86} +(5.04905 + 5.04905i) q^{87} +(1.67382 + 1.67382i) q^{88} +(-5.24022 - 16.1277i) q^{89} +(-2.08904 + 0.797431i) q^{90} +(8.95738 - 12.3288i) q^{91} +(-1.42574 + 1.42574i) q^{92} +(5.55424 + 0.387904i) q^{93} +3.07804i q^{94} +(14.9332 + 1.59777i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-7.53020 + 14.7788i) q^{97} +(0.181318 - 0.181318i) q^{98} -2.36714 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 16 q^{7}+O(q^{10}) $ 128 * q - 16 * q^7	$ 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) $ 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	1.11441	+	1.93858i	0.498380	+	0.866959i
$5$	1.11441	+	1.93858i	0.498380	+	0.866959i
$6$		−	1.00000i		−	0.408248i
$7$	−1.22295	+	2.40017i	−0.462231	+	0.907179i	0.535793	+	0.844349i	$0.320013\pi$
$7$	−1.22295	+	2.40017i	−0.462231	+	0.907179i	−0.998024	+	0.0628301i	$0.979987\pi$
$8$	−0.453990	−	0.891007i	−0.160510	−	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	−1.74038	+	1.40395i	−0.550356	+	0.443969i
$11$	−2.25129	+	0.731487i	−0.678788	+	0.220552i	−0.628065	−	0.778161i	$-0.716153\pi$
$11$	−2.25129	+	0.731487i	−0.678788	+	0.220552i	−0.0507235	+	0.998713i	$0.516153\pi$
$12$	0.987688	−	0.156434i	0.285121	−	0.0451587i
$13$	−5.58754	−	0.884980i	−1.54971	−	0.245449i	−0.677845	−	0.735204i	$-0.737086\pi$
$13$	−5.58754	−	0.884980i	−1.54971	−	0.245449i	−0.871860	+	0.489755i	$0.837086\pi$
$14$	−2.56193	−	0.832422i	−0.684705	−	0.222474i
$15$	−0.797431	−	2.08904i	−0.205896	−	0.539389i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	2.14866	+	4.21699i	0.521127	+	1.02277i	0.990206	+	0.139613i	$0.0445860\pi$
$17$	2.14866	+	4.21699i	0.521127	+	1.02277i	−0.469079	+	0.883156i	$0.655414\pi$
$18$	−0.156434	+	0.987688i	−0.0368720	+	0.232800i
$19$	3.94782	−	5.43370i	0.905691	−	1.24658i	−0.0629255	−	0.998018i	$-0.520043\pi$
$19$	3.94782	−	5.43370i	0.905691	−	1.24658i	0.968617	−	0.248559i	$-0.0799570\pi$
$20$	−1.65892	−	1.49933i	−0.370946	−	0.335259i
$21$	1.58336	−	2.17931i	0.345518	−	0.475564i
$22$	−1.07466	−	2.10914i	−0.229118	−	0.449670i
$23$	1.79654	−	0.915381i	0.374604	−	0.190870i	−0.256545	−	0.966532i	$-0.582584\pi$
$23$	1.79654	−	0.915381i	0.374604	−	0.190870i	0.631148	+	0.775662i	$0.282584\pi$
$24$	0.309017	+	0.951057i	0.0630778	+	0.194134i
$25$	−2.51617	+	4.32075i	−0.503235	+	0.864150i
$26$		−	5.65719i		−	1.10947i
$27$	−0.891007	−	0.453990i	−0.171474	−	0.0873705i
$28$	0.421399	−	2.66061i	0.0796370	−	0.502808i
$29$	−5.77673	−	4.19704i	−1.07271	−	0.779371i	−0.0963142	−	0.995351i	$-0.530705\pi$
$29$	−5.77673	−	4.19704i	−1.07271	−	0.779371i	−0.976398	+	0.215980i	$0.930705\pi$
$30$	1.93858	−	1.11441i	0.353934	−	0.203463i
$31$	−5.54654	+	0.485746i	−0.996187	+	0.0872426i
$31$	−5.54654	+	0.485746i	−0.996187	+	0.0872426i
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	2.33800	−	0.370303i	0.406993	−	0.0644614i
$34$	−3.82894	+	2.78189i	−0.656658	+	0.477090i
$35$	−6.01579	+	0.303998i	−1.01685	+	0.0513850i
$36$	−1.00000			−0.166667
$37$	−0.579398	+	0.579398i	−0.0952524	+	0.0952524i	−0.753127	−	0.657875i	$-0.771456\pi$
$37$	−0.579398	+	0.579398i	−0.0952524	+	0.0952524i	0.657875	+	0.753127i	$0.271456\pi$
$38$	5.98438	+	3.04919i	0.970795	+	0.494645i
$39$	5.38031	+	1.74817i	0.861539	+	0.279931i
$40$	1.22135	−	1.87304i	0.193113	−	0.296154i
$41$	−0.127816	−	0.0928641i	−0.0199616	−	0.0145029i	0.577760	−	0.816207i	$-0.303927\pi$
$41$	−0.127816	−	0.0928641i	−0.0199616	−	0.0145029i	−0.597721	+	0.801704i	$0.703927\pi$
$42$	2.40017	+	1.22295i	0.370354	+	0.188705i
$43$	−0.142156	−	0.897535i	−0.0216785	−	0.136873i	0.974475	−	0.224495i	$-0.0720732\pi$
$43$	−0.142156	−	0.897535i	−0.0216785	−	0.136873i	−0.996154	+	0.0876221i	$0.972073\pi$
$44$	1.91506	−	1.39137i	0.288706	−	0.209757i
$45$	0.460815	+	2.18807i	0.0686942	+	0.326178i
$46$	1.18515	+	1.63122i	0.174741	+	0.240510i
$47$	3.04015	+	0.481512i	0.443451	+	0.0702357i	0.374167	−	0.927361i	$-0.377929\pi$
$47$	3.04015	+	0.481512i	0.443451	+	0.0702357i	0.0692838	+	0.997597i	$0.477929\pi$
$48$	−0.891007	+	0.453990i	−0.128606	+	0.0655279i
$49$	−0.150722	−	0.207450i	−0.0215316	−	0.0296358i
$50$	−4.66117	−	1.80928i	−0.659189	−	0.255871i
$51$	−1.46253	−	4.50119i	−0.204795	−	0.630293i
$52$	5.58754	−	0.884980i	0.774853	−	0.122725i
$53$	−5.73070	+	2.91994i	−0.787172	+	0.401084i	−0.800882	−	0.598822i	$-0.795636\pi$
$53$	−5.73070	+	2.91994i	−0.787172	+	0.401084i	0.0137103	+	0.999906i	$0.495636\pi$
$54$	0.309017	−	0.951057i	0.0420519	−	0.129422i
$55$	−3.92691	−	3.54912i	−0.529504	−	0.478563i
$56$	2.69377			0.359971
$57$	−4.74923	+	4.74923i	−0.629051	+	0.629051i
$58$	3.24169	−	6.36217i	0.425655	−	0.835394i
$59$	−3.86364	−	5.31785i	−0.503004	−	0.692325i	0.479716	−	0.877424i	$-0.340740\pi$
$59$	−3.86364	−	5.31785i	−0.503004	−	0.692325i	−0.982720	+	0.185099i	$0.940740\pi$
$60$	1.40395	+	1.74038i	0.181249	+	0.224682i
$61$			6.99712i			0.895890i	0.894061	+	0.447945i	$0.147844\pi$
$61$			6.99712i			0.895890i	−0.894061	+	0.447945i	$0.852156\pi$
$62$	−1.34743	−	5.40226i	−0.171124	−	0.686088i
$63$	−1.90479	+	1.90479i	−0.239981	+	0.239981i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	−4.51122	−	11.8181i	−0.559548	−	1.46586i
$66$	0.731487	+	2.25129i	0.0900399	+	0.277114i
$67$	−10.9615	−	10.9615i	−1.33916	−	1.33916i	−0.896870	−	0.442295i	$-0.854165\pi$
$67$	−10.9615	−	10.9615i	−1.33916	−	1.33916i	−0.442295	−	0.896870i	$-0.645835\pi$
$68$	−3.34662	−	3.34662i	−0.405837	−	0.405837i
$69$	−1.91761	+	0.623071i	−0.230854	+	0.0750089i
$70$	−1.24133	−	5.89417i	−0.148367	−	0.704488i
$71$	4.31319	−	13.2746i	0.511881	−	1.57541i	−0.277005	−	0.960869i	$-0.589342\pi$
$71$	4.31319	−	13.2746i	0.511881	−	1.57541i	0.788886	−	0.614540i	$-0.210658\pi$
$72$	−0.156434	−	0.987688i	−0.0184360	−	0.116400i
$73$	−3.77829	+	7.41531i	−0.442215	+	0.867897i	0.557083	+	0.830457i	$0.311920\pi$
$73$	−3.77829	+	7.41531i	−0.442215	+	0.867897i	−0.999299	+	0.0374402i	$0.988080\pi$
$74$	−0.662902	−	0.481627i	−0.0770608	−	0.0559880i
$75$	3.16111	−	3.87394i	0.365013	−	0.447324i
$76$	−2.07549	+	6.38770i	−0.238075	+	0.732720i
$77$	0.997512	−	6.29804i	0.113677	−	0.717729i
$78$	−0.884980	+	5.58754i	−0.100204	+	0.632665i
$79$	−3.06543	+	9.43441i	−0.344887	+	1.06145i	0.616757	+	0.787154i	$0.288446\pi$
$79$	−3.06543	+	9.43441i	−0.344887	+	1.06145i	−0.961644	+	0.274300i	$0.911554\pi$
$80$	2.04105	+	0.913308i	0.228196	+	0.102111i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	0.0717259	−	0.140770i	0.00792080	−	0.0155454i
$83$	−0.493035	−	3.11290i	−0.0541177	−	0.341686i	−0.999859	−	0.0167663i	$-0.994663\pi$
$83$	−0.493035	−	3.11290i	−0.0541177	−	0.341686i	0.945742	−	0.324919i	$-0.105337\pi$
$84$	−0.832422	+	2.56193i	−0.0908247	+	0.279530i
$85$	−5.78047	+	8.86481i	−0.626980	+	0.961524i
$86$	0.864246	−	0.280811i	0.0931941	−	0.0302806i
$87$	5.04905	+	5.04905i	0.541315	+	0.541315i
$88$	1.67382	+	1.67382i	0.178430	+	0.178430i
$89$	−5.24022	−	16.1277i	−0.555462	−	1.70954i	−0.694720	−	0.719280i	$-0.744472\pi$
$89$	−5.24022	−	16.1277i	−0.555462	−	1.70954i	0.139259	−	0.990256i	$-0.455528\pi$
$90$	−2.08904	+	0.797431i	−0.220205	+	0.0840566i
$91$	8.95738	−	12.3288i	0.938988	−	1.29241i
$92$	−1.42574	+	1.42574i	−0.148644	+	0.148644i
$93$	5.55424	+	0.387904i	0.575947	+	0.0402237i
$94$			3.07804i			0.317476i
$95$	14.9332	+	1.59777i	1.53211	+	0.163928i
$96$	−0.587785	−	0.809017i	−0.0599906	−	0.0825700i
$97$	−7.53020	+	14.7788i	−0.764576	+	1.50056i	0.0983051	+	0.995156i	$0.468658\pi$
$97$	−7.53020	+	14.7788i	−0.764576	+	1.50056i	−0.862881	+	0.505408i	$0.831342\pi$
$98$	0.181318	−	0.181318i	0.0183159	−	0.0183159i
$99$	−2.36714			−0.237907
$100$	1.05784	−	4.88682i	0.105784	−	0.488682i
$101$	−1.02576	+	3.15695i	−0.102067	+	0.314128i	−0.989031	−	0.147710i	$-0.952810\pi$
$101$	−1.02576	+	3.15695i	−0.102067	+	0.314128i	0.886964	+	0.461838i	$0.152810\pi$
$102$	4.21699	−	2.14866i	0.417544	−	0.212749i
$103$	10.2374	−	1.62144i	1.00872	−	0.159765i	0.369857	−	0.929089i	$-0.379407\pi$
$103$	10.2374	−	1.62144i	1.00872	−	0.159765i	0.638859	+	0.769324i	$0.279407\pi$
$104$	1.74817	+	5.38031i	0.171422	+	0.527583i
$105$	5.98928	+	0.640822i	0.584494	+	0.0625378i
$106$	−3.78047	−	5.20336i	−0.367191	−	0.505395i
$107$	−2.72529	+	1.38860i	−0.263464	+	0.134241i	−0.580733	−	0.814094i	$-0.697234\pi$
$107$	−2.72529	+	1.38860i	−0.263464	+	0.134241i	0.317270	+	0.948335i	$0.397234\pi$
$108$	0.987688	+	0.156434i	0.0950404	+	0.0150529i
$109$	4.70277	+	6.47280i	0.450443	+	0.619982i	0.972493	−	0.232933i	$-0.0748323\pi$
$109$	4.70277	+	6.47280i	0.450443	+	0.619982i	−0.522049	+	0.852915i	$0.674832\pi$
$110$	2.89112	−	4.43376i	0.275657	−	0.422743i
$111$	0.662902	−	0.481627i	0.0629199	−	0.0457140i
$112$	0.421399	+	2.66061i	0.0398185	+	0.251404i
$113$	9.45836	+	4.81928i	0.889768	+	0.453359i	0.838233	−	0.545312i	$-0.183589\pi$
$113$	9.45836	+	4.81928i	0.889768	+	0.453359i	0.0515345	+	0.998671i	$0.483589\pi$
$114$	−5.43370	−	3.94782i	−0.508913	−	0.369747i
$115$	3.77662	+	2.46261i	0.352171	+	0.229640i
$116$	6.79095	+	2.20651i	0.630524	+	0.204870i
$117$	−5.04059	−	2.56831i	−0.466003	−	0.237440i
$118$	4.64797	−	4.64797i	0.427880	−	0.427880i
$119$	−12.7492			−1.16872
$120$	−1.49933	+	1.65892i	−0.136869	+	0.151438i
$121$	−4.36597	+	3.17206i	−0.396906	+	0.288369i
$122$	−6.91098	+	1.09459i	−0.625690	+	0.0990996i
$123$	0.111716	+	0.111716i	0.0100731	+	0.0100731i
$124$	5.12496	−	2.17595i	0.460235	−	0.195406i
$125$	−11.1802	−	0.0627051i	−0.999984	−	0.00560851i
$126$	−2.17931	−	1.58336i	−0.194148	−	0.141057i
$127$	−2.49372	+	15.7447i	−0.221282	+	1.39712i	0.587603	+	0.809150i	$0.300072\pi$
$127$	−2.49372	+	15.7447i	−0.221282	+	1.39712i	−0.808884	+	0.587968i	$0.799928\pi$
$128$	−0.891007	−	0.453990i	−0.0787546	−	0.0401275i
$129$			0.908722i			0.0800086i
$130$	10.9669	−	6.30444i	0.961862	−	0.552936i
$131$	3.64366	+	11.2140i	0.318348	+	0.979775i	0.974354	+	0.225020i	$0.0722446\pi$
$131$	3.64366	+	11.2140i	0.318348	+	0.979775i	−0.656006	+	0.754756i	$0.727755\pi$
$132$	−2.10914	+	1.07466i	−0.183577	+	0.0935372i
$133$	8.21384	+	16.1206i	0.712230	+	1.39783i
$134$	9.11182	−	12.5413i	0.787141	−	1.08341i
$135$	−0.112852	−	2.23322i	−0.00971275	−	0.192205i
$136$	2.78189	−	3.82894i	0.238545	−	0.328329i
$137$	−2.35916	+	14.8952i	−0.201557	+	1.27258i	0.654645	+	0.755937i	$0.272818\pi$
$137$	−2.35916	+	14.8952i	−0.201557	+	1.27258i	−0.856201	+	0.516642i	$0.827182\pi$
$138$	−0.915381	−	1.79654i	−0.0779224	−	0.152931i
$139$	7.88079	−	5.72573i	0.668439	−	0.485650i	−0.201063	−	0.979578i	$-0.564440\pi$
$139$	7.88079	−	5.72573i	0.668439	−	0.485650i	0.869502	+	0.493929i	$0.164440\pi$
$140$	5.62741	−	2.14810i	0.475603	−	0.181548i
$141$	−2.92739	−	0.951168i	−0.246531	−	0.0801028i
$142$	13.7859	+	2.18348i	1.15689	+	0.183233i
$143$	13.2265	−	2.09487i	1.10606	−	0.175182i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	1.69864	−	15.8759i	0.141064	−	1.31842i
$146$	−7.91507	−	2.57176i	−0.655056	−	0.212841i
$147$	0.116414	+	0.228474i	0.00960162	+	0.0188442i
$148$	0.371996	−	0.730084i	0.0305779	−	0.0600125i
$149$			6.11135i			0.500661i	0.968160	+	0.250330i	$0.0805393\pi$
$149$			6.11135i			0.500661i	−0.968160	+	0.250330i	$0.919461\pi$
$150$	4.32075	+	2.51617i	0.352788	+	0.205445i
$151$	−11.8465	+	3.84916i	−0.964054	+	0.313240i	−0.748413	−	0.663233i	$-0.769184\pi$
$151$	−11.8465	+	3.84916i	−0.964054	+	0.313240i	−0.215641	+	0.976473i	$0.569184\pi$
$152$	−6.63374	−	1.05068i	−0.538067	−	0.0852215i
$153$	0.740379	+	4.67457i	0.0598561	+	0.377916i
$154$	6.37655			0.513837
$155$	−7.12278	−	10.2111i	−0.572115	−	0.820173i
$156$	−5.65719			−0.452938
$157$	0.776849	+	4.90483i	0.0619993	+	0.391448i	0.999101	+	0.0423918i	$0.0134978\pi$
$157$	0.776849	+	4.90483i	0.0619993	+	0.391448i	−0.937102	+	0.349056i	$0.886502\pi$
$158$	−9.79779	−	1.55182i	−0.779471	−	0.123456i
$159$	6.11692	−	1.98751i	0.485103	−	0.157620i
$160$	−0.582774	+	2.15879i	−0.0460723	+	0.170667i
$161$			5.43146i			0.428059i
$162$	−0.453990	+	0.891007i	−0.0356689	+	0.0700041i
$163$	7.79725	+	15.3030i	0.610728	+	1.19862i	0.964697	+	0.263364i	$0.0848320\pi$
$163$	7.79725	+	15.3030i	0.610728	+	1.19862i	−0.353968	+	0.935257i	$0.615168\pi$
$164$	0.150257	+	0.0488215i	0.0117331	+	0.00381232i
$165$	3.32335	+	4.11972i	0.258723	+	0.320720i
$166$	2.99745	−	0.973931i	0.232647	−	0.0755917i
$167$	−15.8200	+	2.50564i	−1.22419	+	0.193892i	−0.734866	−	0.678212i	$-0.762755\pi$
$167$	−15.8200	+	2.50564i	−1.22419	+	0.193892i	−0.489320	+	0.872104i	$0.662755\pi$
$168$	−2.66061	−	0.421399i	−0.205271	−	0.0325117i
$169$	18.0737	+	5.87250i	1.39029	+	0.451731i
$170$	−9.65993	−	4.32254i	−0.740883	−	0.331523i
$171$	5.43370	−	3.94782i	0.415526	−	0.301897i
$172$	0.412551	+	0.809678i	0.0314567	+	0.0617373i
$173$	0.699331	−	4.41540i	0.0531692	−	0.335697i	−0.946737	−	0.322008i	$-0.895642\pi$
$173$	0.699331	−	4.41540i	0.0531692	−	0.335697i	0.999906	−	0.0136895i	$-0.00435763\pi$
$174$	−4.19704	+	5.77673i	−0.318177	+	0.437933i
$175$	−7.29339	−	11.3233i	−0.551328	−	0.855961i
$176$	−1.39137	+	1.91506i	−0.104879	+	0.144353i
$177$	2.98418	+	5.85678i	0.224305	+	0.440223i
$178$	15.1094	−	7.69863i	1.13250	−	0.577037i
$179$	3.63600	+	11.1904i	0.271767	+	0.836413i	0.990057	+	0.140669i	$0.0449254\pi$
$179$	3.63600	+	11.1904i	0.271767	+	0.836413i	−0.718289	+	0.695744i	$0.755075\pi$
$180$	−1.11441	−	1.93858i	−0.0830633	−	0.144493i
$181$		−	7.70360i		−	0.572604i	−0.958139	−	0.286302i	$-0.907574\pi$
$181$		−	7.70360i		−	0.572604i	0.958139	−	0.286302i	$-0.0924261\pi$
$182$	13.5782	+	6.91845i	1.00649	+	0.512830i
$183$	1.09459	−	6.91098i	0.0809145	−	0.510874i
$184$	−1.63122	−	1.18515i	−0.120255	−	0.0873705i
$185$	−1.76890	−	0.477520i	−0.130052	−	0.0351080i
$186$	0.485746	+	5.54654i	0.0356166	+	0.406692i
$187$	−7.92193	−	7.92193i	−0.579309	−	0.579309i
$188$	−3.04015	+	0.481512i	−0.221726	+	0.0351179i
$189$	2.17931	−	1.58336i	0.158521	−	0.115173i
$190$	0.757962	+	14.9992i	0.0549883	+	1.08816i
$191$	4.05872			0.293678			0.146839	−	0.989160i	$-0.453090\pi$
$191$	4.05872			0.293678			0.146839	+	0.989160i	$0.453090\pi$
$192$	0.707107	−	0.707107i	0.0510310	−	0.0510310i
$193$	22.6768	+	11.5544i	1.63231	+	0.831706i	0.998294	+	0.0583899i	$0.0185967\pi$
$193$	22.6768	+	11.5544i	1.63231	+	0.831706i	0.634021	+	0.773316i	$0.281403\pi$
$194$	−15.7749	−	5.12557i	−1.13257	−	0.367994i
$195$	2.60692	+	12.3783i	0.186685	+	0.886431i
$196$	0.207450	+	0.150722i	0.0148179	+	0.0107658i
$197$	16.5766	+	8.44622i	1.18104	+	0.601768i	0.930483	−	0.366334i	$-0.119387\pi$
$197$	16.5766	+	8.44622i	1.18104	+	0.601768i	0.250554	+	0.968103i	$0.419387\pi$
$198$	−0.370303	−	2.33800i	−0.0263163	−	0.166154i
$199$	−10.9571	+	7.96076i	−0.776725	+	0.564324i	−0.903994	−	0.427545i	$-0.859379\pi$
$199$	−10.9571	+	7.96076i	−0.776725	+	0.564324i	0.127269	+	0.991868i	$0.459379\pi$
$200$	4.99213	+	0.280347i	0.352997	+	0.0198236i
$201$	9.11182	+	12.5413i	0.642698	+	0.884598i
$202$	−3.27855	−	0.519271i	−0.230678	−	0.0365358i
$203$	17.1383	−	8.73238i	1.20287	−	0.612893i
$204$	2.78189	+	3.82894i	0.194771	+	0.268080i
$205$	0.0375842	−	0.351271i	0.00262499	−	0.0245338i
$206$	3.20295	+	9.85766i	0.223160	+	0.686816i
$207$	1.99147	−	0.315419i	0.138417	−	0.0219231i
$208$	−5.04059	+	2.56831i	−0.349502	+	0.178080i
$209$	−4.91298	+	15.1206i	−0.339838	+	1.04591i
$210$	0.303998	+	6.01579i	0.0209778	+	0.415129i
$211$	−11.7622			−0.809742			−0.404871	−	0.914374i	$-0.632684\pi$
$211$	−11.7622			−0.809742			−0.404871	+	0.914374i	$0.632684\pi$
$212$	4.54791	−	4.54791i	0.312352	−	0.312352i
$213$	−6.33669	+	12.4365i	−0.434183	+	0.852132i
$214$	−1.79784	−	2.47451i	−0.122898	−	0.169154i
$215$	1.58152	−	1.27580i	0.107859	−	0.0870090i
$216$			1.00000i			0.0680414i
$217$	5.61725	−	13.9067i	0.381324	−	0.944047i
$218$	−5.65744	+	5.65744i	−0.383170	+	0.383170i
$219$	4.89178	−	6.73296i	0.330556	−	0.454972i
$220$	4.83145	+	2.16193i	0.325736	+	0.145757i
$221$	−8.27379	−	25.4641i	−0.556556	−	1.71290i
$222$	0.579398	+	0.579398i	0.0388866	+	0.0388866i
$223$	3.43033	+	3.43033i	0.229712	+	0.229712i	0.812572	−	0.582860i	$-0.198067\pi$
$223$	3.43033	+	3.43033i	0.229712	+	0.229712i	−0.582860	+	0.812572i	$0.698067\pi$
$224$	−2.56193	+	0.832422i	−0.171176	+	0.0556185i
$225$	−3.72821	+	3.33174i	−0.248547	+	0.222116i
$226$	−3.28033	+	10.0958i	−0.218204	+	0.671564i
$227$	−2.34009	−	14.7748i	−0.155318	−	0.980636i	−0.935048	−	0.354521i	$-0.884644\pi$
$227$	−2.34009	−	14.7748i	−0.155318	−	0.980636i	0.779730	−	0.626115i	$-0.215356\pi$
$228$	3.04919	−	5.98438i	0.201938	−	0.396325i
$229$	11.1997	+	8.13705i	0.740096	+	0.537711i	0.892741	−	0.450570i	$-0.148779\pi$
$229$	11.1997	+	8.13705i	0.740096	+	0.537711i	−0.152645	+	0.988281i	$0.548779\pi$
$230$	−1.84150	+	4.11536i	−0.121425	+	0.271359i
$231$	−1.97046	+	6.06446i	−0.129647	+	0.399012i
$232$	−1.11701	+	7.05252i	−0.0733353	+	0.463021i
$233$	1.77801	−	11.2259i	0.116481	−	0.735432i	−0.858445	−	0.512905i	$-0.828569\pi$
$233$	1.77801	−	11.2259i	0.116481	−	0.735432i	0.974926	−	0.222527i	$-0.0714306\pi$
$234$	1.74817	−	5.38031i	0.114281	−	0.351722i
$235$	2.45453	+	6.43017i	0.160116	+	0.419458i
$236$	5.31785	+	3.86364i	0.346163	+	0.251502i
$237$	4.50355	−	8.83872i	0.292537	−	0.574136i
$238$	−1.99441	−	12.5922i	−0.129279	−	0.816233i
$239$	3.26004	−	10.0334i	0.210874	−	0.649005i	−0.788546	−	0.614975i	$-0.789166\pi$
$239$	3.26004	−	10.0334i	0.210874	−	0.649005i	0.999421	−	0.0340296i	$-0.0108340\pi$
$240$	−1.87304	−	1.22135i	−0.120904	−	0.0788380i
$241$	12.9501	−	4.20773i	0.834188	−	0.271044i	0.139379	−	0.990239i	$-0.455489\pi$
$241$	12.9501	−	4.20773i	0.834188	−	0.271044i	0.694808	+	0.719195i	$0.255489\pi$
$242$	−3.81600	−	3.81600i	−0.245302	−	0.245302i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−2.16223	−	6.65466i	−0.138423	−	0.426021i
$245$	0.234193	−	0.523371i	0.0149620	−	0.0334369i
$246$	−0.0928641	+	0.127816i	−0.00592080	+	0.00814928i
$247$	−26.8673	+	26.8673i	−1.70953	+	1.70953i
$248$	2.95088	+	4.72147i	0.187381	+	0.299814i
$249$			3.15171i			0.199731i
$250$	−1.68703	−	11.0523i	−0.106697	−	0.699011i
$251$	13.5929	+	18.7090i	0.857977	+	1.18090i	0.982048	+	0.188631i	$0.0604050\pi$
$251$	13.5929	+	18.7090i	0.857977	+	1.18090i	−0.124071	+	0.992273i	$0.539595\pi$
$252$	1.22295	−	2.40017i	0.0770385	−	0.151197i
$253$	−3.37493	+	3.37493i	−0.212180	+	0.212180i
$254$	−15.9410			−1.00023
$255$	7.09606	−	7.85141i	0.444373	−	0.491674i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−0.908007	+	0.462653i	−0.0566399	+	0.0288595i	−0.482081	−	0.876127i	$-0.660119\pi$
$257$	−0.908007	+	0.462653i	−0.0566399	+	0.0288595i	0.425441	+	0.904986i	$0.360119\pi$
$258$	−0.897535	+	0.142156i	−0.0558781	+	0.00885022i
$259$	−0.682080	−	2.09923i	−0.0423824	−	0.130440i
$260$	7.94243	+	9.84566i	0.492568	+	0.610602i
$261$	−4.19704	−	5.77673i	−0.259790	−	0.357571i
$262$	−10.5060	+	5.35307i	−0.649062	+	0.330714i
$263$	−25.0720	−	3.97101i	−1.54600	−	0.244863i	−0.675625	−	0.737245i	$-0.736126\pi$
$263$	−25.0720	−	3.97101i	−1.54600	−	0.244863i	−0.870379	+	0.492382i	$0.836126\pi$
$264$	−1.39137	−	1.91506i	−0.0856330	−	0.117864i
$265$	−12.0469	−	7.85540i	−0.740034	−	0.482553i
$266$	−14.6372	+	10.6345i	−0.897463	+	0.652045i
$267$	2.65277	+	16.7489i	0.162347	+	1.02502i
$268$	13.8123	+	7.03774i	0.843723	+	0.429898i
$269$	−14.1422	−	10.2749i	−0.862264	−	0.626471i	0.0662360	−	0.997804i	$-0.478901\pi$
$269$	−14.1422	−	10.2749i	−0.862264	−	0.626471i	−0.928500	+	0.371333i	$0.878901\pi$
$270$	2.18807	−	0.460815i	0.133162	−	0.0280443i
$271$	−19.4490	−	6.31936i	−1.18144	−	0.383874i	−0.348540	−	0.937294i	$-0.613322\pi$
$271$	−19.4490	−	6.31936i	−1.18144	−	0.383874i	−0.832902	+	0.553420i	$0.813322\pi$
$272$	4.21699	+	2.14866i	0.255692	+	0.130282i
$273$	−10.7757	+	10.7757i	−0.652178	+	0.652178i
$274$	−15.0808			−0.911066
$275$	2.50405	−	11.5678i	0.151000	−	0.697564i
$276$	1.63122	−	1.18515i	0.0981879	−	0.0713377i
$277$	−10.7163	+	1.69730i	−0.643882	+	0.101981i	−0.469832	−	0.882756i	$-0.655686\pi$
$277$	−10.7163	+	1.69730i	−0.643882	+	0.101981i	−0.174050	+	0.984737i	$0.555686\pi$
$278$	6.88806	+	6.88806i	0.413118	+	0.413118i
$279$	−5.42517	−	1.25200i	−0.324797	−	0.0749554i
$280$	3.00197	+	5.22209i	0.179402	+	0.312080i
$281$	−14.3447	−	10.4220i	−0.855732	−	0.621726i	0.0709883	−	0.997477i	$-0.477385\pi$
$281$	−14.3447	−	10.4220i	−0.855732	−	0.621726i	−0.926721	+	0.375751i	$0.877385\pi$
$282$	0.481512	−	3.04015i	0.0286736	−	0.181038i
$283$	−8.91466	−	4.54225i	−0.529922	−	0.270009i	0.168492	−	0.985703i	$-0.446110\pi$
$283$	−8.91466	−	4.54225i	−0.529922	−	0.270009i	−0.698414	+	0.715694i	$0.746110\pi$
$284$			13.9578i			0.828241i
$285$	−14.4994	−	3.91416i	−0.858868	−	0.231855i
$286$	4.13816	+	12.7360i	0.244695	+	0.753093i
$287$	0.379202	−	0.193213i	0.0223836	−	0.0114050i
$288$	0.453990	+	0.891007i	0.0267516	+	0.0525031i
$289$	−3.17388	+	4.36847i	−0.186699	+	0.256969i
$290$	15.9461	−	0.805811i	0.936390	−	0.0473189i
$291$	9.74941	−	13.4189i	0.571520	−	0.786630i
$292$	1.30191	−	8.21994i	0.0761885	−	0.481035i
$293$	11.4712	+	22.5134i	0.670153	+	1.31525i	0.936261	+	0.351306i	$0.114262\pi$
$293$	11.4712	+	22.5134i	0.670153	+	1.31525i	−0.266108	+	0.963943i	$0.585738\pi$
$294$	−0.207450	+	0.150722i	−0.0120988	+	0.00879026i
$295$	6.00338	−	13.4163i	0.349530	−	0.781124i
$296$	0.779288	+	0.253206i	0.0452952	+	0.0147173i
$297$	2.33800	+	0.370303i	0.135664	+	0.0214871i
$298$	−6.03610	+	0.956025i	−0.349662	+	0.0553810i
$299$	−10.8483	+	3.52483i	−0.627374	+	0.203846i
$300$	−1.80928	+	4.66117i	−0.104459	+	0.269113i
$301$	2.32809	+	0.756441i	0.134189	+	0.0436005i
$302$	−5.65497	−	11.0985i	−0.325407	−	0.638647i
$303$	1.50698	−	2.95762i	0.0865739	−	0.169911i
$304$		−	6.71643i		−	0.385214i
$305$	−13.5645	+	7.79768i	−0.776699	+	0.446494i
$306$	−4.50119	+	1.46253i	−0.257316	+	0.0836071i
$307$	27.2006	+	4.30815i	1.55242	+	0.245879i	0.872945	−	0.487819i	$-0.162207\pi$
$307$	27.2006	+	4.30815i	1.55242	+	0.245879i	0.679475	+	0.733698i	$0.262207\pi$
$308$	0.997512	+	6.29804i	0.0568385	+	0.358864i
$309$	−10.3650			−0.589642
$310$	8.97111	−	8.63245i	0.509525	−	0.490290i
$311$	11.8377			0.671254			0.335627	−	0.941995i	$-0.391052\pi$
$311$	11.8377			0.671254			0.335627	+	0.941995i	$0.391052\pi$
$312$	−0.884980	−	5.58754i	−0.0501021	−	0.316332i
$313$	−20.8381	−	3.30043i	−1.17784	−	0.186551i	−0.463335	−	0.886183i	$-0.653347\pi$
$313$	−20.8381	−	3.30043i	−1.17784	−	0.186551i	−0.714503	+	0.699632i	$0.753347\pi$
$314$	−4.72292	+	1.53457i	−0.266530	+	0.0866007i
$315$	−5.81529	−	1.56986i	−0.327655	−	0.0884517i
$316$		−	9.91993i		−	0.558039i
$317$	−0.485947	+	0.953725i	−0.0272935	+	0.0535665i	−0.904251	−	0.427002i	$-0.859570\pi$
$317$	−0.485947	+	0.953725i	−0.0272935	+	0.0535665i	0.876957	+	0.480569i	$0.159570\pi$
$318$	2.91994	+	5.73070i	0.163742	+	0.321362i
$319$	16.0752	+	5.22313i	0.900036	+	0.292439i
$320$	−2.22338	−	0.237890i	−0.124291	−	0.0132984i
$321$	2.90896	−	0.945179i	0.162362	−	0.0527547i
$322$	−5.36458	+	0.849667i	−0.298957	+	0.0473501i
$323$	31.3964	+	4.97270i	1.74694	+	0.276688i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	17.8830	−	21.9156i	0.991970	−	1.21566i
$326$	−13.8948	+	10.0952i	−0.769562	+	0.559120i
$327$	−3.63230	−	7.12879i	−0.200867	−	0.394223i
$328$	−0.0247150	+	0.156045i	−0.00136466	+	0.00861613i
$329$	−4.87365	+	6.70801i	−0.268693	+	0.369824i
$330$	−3.54912	+	3.92691i	−0.195372	+	0.216169i
$331$	3.40066	−	4.68060i	0.186917	−	0.257269i	−0.705266	−	0.708942i	$-0.749173\pi$
$331$	3.40066	−	4.68060i	0.186917	−	0.257269i	0.892184	+	0.451673i	$0.149173\pi$
$332$	1.43084	+	2.80819i	0.0785278	+	0.154119i
$333$	−0.730084	+	0.371996i	−0.0400084	+	0.0203853i
$334$	−4.94958	−	15.2332i	−0.270829	−	0.833526i
$335$	9.03413	−	33.4655i	0.493587	−	1.82841i
$336$		−	2.69377i		−	0.146957i
$337$	17.0996	+	8.71266i	0.931473	+	0.474609i	0.852769	−	0.522289i	$-0.174922\pi$
$337$	17.0996	+	8.71266i	0.931473	+	0.474609i	0.0787041	+	0.996898i	$0.474922\pi$
$338$	−2.97285	+	18.7699i	−0.161702	+	1.02095i
$339$	−8.58801	−	6.23956i	−0.466437	−	0.338886i
$340$	2.75817	−	10.2172i	0.149583	−	0.554105i
$341$	12.1315	−	5.15077i	0.656959	−	0.278930i
$342$	4.74923	+	4.74923i	0.256809	+	0.256809i
$343$	−17.9420	+	2.84174i	−0.968778	+	0.153439i
$344$	−0.735172	+	0.534134i	−0.0396378	+	0.0287986i
$345$	−3.34488	−	3.02309i	−0.180082	−	0.162758i
$346$	4.47044			0.240333
$347$	14.9192	−	14.9192i	0.800907	−	0.800907i	−0.182330	−	0.983237i	$-0.558364\pi$
$347$	14.9192	−	14.9192i	0.800907	−	0.800907i	0.983237	+	0.182330i	$0.0583639\pi$
$348$	−6.36217	−	3.24169i	−0.341048	−	0.173773i
$349$	0.0836893	+	0.0271923i	0.00447978	+	0.00145557i	0.311256	−	0.950326i	$-0.399250\pi$
$349$	0.0836893	+	0.0271923i	0.00447978	+	0.00145557i	−0.306776	+	0.951782i	$0.599250\pi$
$350$	10.0430	−	8.97495i	0.536818	−	0.479731i
$351$	4.57676	+	3.32521i	0.244290	+	0.177487i
$352$	−2.10914	−	1.07466i	−0.112418	−	0.0572796i
$353$	2.05426	+	12.9701i	0.109337	+	0.690327i	0.980082	+	0.198592i	$0.0636369\pi$
$353$	2.05426	+	12.9701i	0.109337	+	0.690327i	−0.870745	+	0.491734i	$0.836363\pi$
$354$	−5.31785	+	3.86364i	−0.282641	+	0.205350i
$355$	30.5406	−	6.43195i	1.62093	−	0.341372i
$356$	9.96749	+	13.7191i	0.528276	+	0.727109i
$357$	12.5922	+	1.99441i	0.666451	+	0.105556i
$358$	−10.4839	+	5.34180i	−0.554090	+	0.282323i
$359$	1.11883	+	1.53994i	0.0590495	+	0.0812747i	0.837520	−	0.546406i	$-0.184004\pi$
$359$	1.11883	+	1.53994i	0.0590495	+	0.0812747i	−0.778471	+	0.627681i	$0.784004\pi$
$360$	1.74038	−	1.40395i	0.0917260	−	0.0739948i
$361$	−8.06856	−	24.8325i	−0.424661	−	1.30697i
$362$	7.60875	−	1.20511i	0.399907	−	0.0633391i
$363$	4.80844	−	2.45002i	0.252378	−	0.128593i
$364$	−4.70917	+	14.4933i	−0.246828	+	0.759657i
$365$	−18.5857	+	0.939199i	−0.972822	+	0.0491599i
$366$	6.99712			0.365745
$367$	−17.5067	+	17.5067i	−0.913844	+	0.913844i	−0.996572	−	0.0827278i	$-0.973637\pi$
$367$	−17.5067	+	17.5067i	−0.913844	+	0.913844i	0.0827278	+	0.996572i	$0.473637\pi$
$368$	0.915381	−	1.79654i	0.0477175	−	0.0936509i
$369$	−0.0928641	−	0.127816i	−0.00483431	−	0.00665386i
$370$	0.194925	−	1.82182i	0.0101337	−	0.0947118i
$371$		−	17.3256i		−	0.899500i
$372$	−5.40226	+	1.34743i	−0.280094	+	0.0698612i
$373$	−13.4681	+	13.4681i	−0.697352	+	0.697352i	−0.963839	−	0.266486i	$-0.914137\pi$
$373$	−13.4681	+	13.4681i	−0.697352	+	0.697352i	0.266486	+	0.963839i	$0.414137\pi$
$374$	6.58513	−	9.06366i	0.340509	−	0.468671i
$375$	11.0327	+	1.81090i	0.569727	+	0.0935143i
$376$	−0.951168	−	2.92739i	−0.0490527	−	0.150969i
$377$	28.5634	+	28.5634i	1.47109	+	1.47109i
$378$	1.90479	+	1.90479i	0.0979716	+	0.0979716i
$379$	−3.23235	+	1.05025i	−0.166035	+	0.0539480i	−0.390855	−	0.920452i	$-0.627821\pi$
$379$	−3.23235	+	1.05025i	−0.166035	+	0.0539480i	0.224820	+	0.974400i	$0.427821\pi$
$380$	−14.6960	+	3.09503i	−0.753890	+	0.158772i
$381$	4.92603	−	15.1608i	0.252368	−	0.776710i
$382$	0.634923	+	4.00875i	0.0324855	+	0.205105i
$383$	−9.72893	+	19.0941i	−0.497125	+	0.975663i	0.497033	+	0.867732i	$0.334423\pi$
$383$	−9.72893	+	19.0941i	−0.497125	+	0.975663i	−0.994158	+	0.107932i	$0.965577\pi$
$384$	0.809017	+	0.587785i	0.0412850	+	0.0299953i
$385$	13.3209	−	5.08486i	0.678895	−	0.259148i
$386$	−7.86473	+	24.2052i	−0.400304	+	1.23201i
$387$	0.142156	−	0.897535i	0.00722617	−	0.0456242i
$388$	2.59473	−	16.3825i	0.131727	−	0.831694i
$389$	3.84965	−	11.8480i	0.195185	−	0.600717i	−0.804790	−	0.593560i	$-0.797722\pi$
$389$	3.84965	−	11.8480i	0.195185	−	0.600717i	0.999974	−	0.00715682i	$-0.00227811\pi$
$390$	−11.8181	+	4.51122i	−0.598434	+	0.228435i
$391$	7.72030	+	5.60912i	0.390432	+	0.283666i
$392$	−0.116414	+	0.228474i	−0.00587977	+	0.0115397i
$393$	−1.84454	−	11.6460i	−0.0930448	−	0.587462i
$394$	−5.74908	+	17.6938i	−0.289634	+	0.891403i
$395$	−21.7055	+	4.57125i	−1.09212	+	0.230005i
$396$	2.25129	−	0.731487i	0.113131	−	0.0367586i
$397$	−25.9932	−	25.9932i	−1.30456	−	1.30456i	−0.925283	−	0.379278i	$-0.876172\pi$
$397$	−25.9932	−	25.9932i	−1.30456	−	1.30456i	−0.379278	−	0.925283i	$-0.623828\pi$
$398$	−9.57681	−	9.57681i	−0.480042	−	0.480042i
$399$	−5.59090	−	17.2070i	−0.279895	−	0.861429i
$400$	0.504046	+	4.97453i	0.0252023	+	0.248726i
$401$	8.07334	−	11.1120i	0.403163	−	0.554907i	−0.558371	−	0.829591i	$-0.688573\pi$
$401$	8.07334	−	11.1120i	0.403163	−	0.554907i	0.961534	+	0.274685i	$0.0885734\pi$
$402$	−10.9615	+	10.9615i	−0.546712	+	0.546712i
$403$	31.4214	+	2.19445i	1.56521	+	0.109313i
$404$		−	3.31942i		−	0.165147i
$405$	−0.237890	+	2.22338i	−0.0118208	+	0.110481i
$406$	11.3059	+	15.5612i	0.561102	+	0.772290i
$407$	0.880568	−	1.72821i	0.0436482	−	0.0856643i
$408$	−3.34662	+	3.34662i	−0.165682	+	0.165682i
$409$	6.35807			0.314386			0.157193	−	0.987568i	$-0.449755\pi$
$409$	6.35807			0.314386			0.157193	+	0.987568i	$0.449755\pi$
$410$	0.352826	−	0.0178295i	0.0174248	−	0.000880534i
$411$	4.66023	−	14.3427i	0.229872	−	0.707474i
$412$	−9.23525	+	4.70559i	−0.454988	+	0.231828i
$413$	17.4888	−	2.76995i	0.860567	−	0.136300i
$414$	0.623071	+	1.91761i	0.0306223	+	0.0942456i
$415$	5.48516	−	4.42484i	0.269256	−	0.217207i
$416$	−3.32521	−	4.57676i	−0.163032	−	0.224394i
$417$	−8.67946	+	4.42241i	−0.425035	+	0.216566i
$418$	−15.7030	−	2.48711i	−0.768059	−	0.121649i
$419$	10.0860	+	13.8822i	0.492734	+	0.678190i	0.980889	−	0.194567i	$-0.0623301\pi$
$419$	10.0860	+	13.8822i	0.492734	+	0.678190i	−0.488155	+	0.872757i	$0.662330\pi$
$420$	−5.89417	+	1.24133i	−0.287606	+	0.0605708i
$421$	−29.3024	+	21.2894i	−1.42811	+	1.03758i	−0.437748	+	0.899098i	$0.644224\pi$
$421$	−29.3024	+	21.2894i	−1.42811	+	1.03758i	−0.990364	+	0.138486i	$0.955776\pi$
$422$	−1.84001	−	11.6174i	−0.0895703	−	0.565525i
$423$	2.74256	+	1.39740i	0.133348	+	0.0679440i
$424$	5.20336	+	3.78047i	0.252698	+	0.183596i
$425$	−23.6269	−	1.32684i	−1.14608	−	0.0643611i
$426$	−13.2746	−	4.31319i	−0.643158	−	0.208975i
$427$	−16.7943	−	8.55712i	−0.812733	−	0.414108i
$428$	2.16280	−	2.16280i	0.104543	−	0.104543i
$429$	−13.3914			−0.646542
$430$	1.50750	+	1.36247i	0.0726981	+	0.0657042i
$431$	32.6670	−	23.7340i	1.57352	−	1.14323i	0.649828	−	0.760081i	$-0.274841\pi$
$431$	32.6670	−	23.7340i	1.57352	−	1.14323i	0.923688	−	0.383145i	$-0.125159\pi$
$432$	−0.987688	+	0.156434i	−0.0475202	+	0.00752646i
$433$	−22.1219	−	22.1219i	−1.06311	−	1.06311i	−0.997869	−	0.0652424i	$-0.979218\pi$
$433$	−22.1219	−	22.1219i	−1.06311	−	1.06311i	−0.0652424	−	0.997869i	$-0.520782\pi$
$434$	14.6142	+	3.37261i	0.701504	+	0.161890i
$435$	−4.16126	+	15.4147i	−0.199517	+	0.739078i
$436$	−6.47280	−	4.70277i	−0.309991	−	0.225222i
$437$	2.11849	−	13.3756i	0.101341	−	0.639842i
$438$	7.41531	+	3.77829i	0.354317	+	0.180534i
$439$			18.6685i			0.890997i	0.895283	+	0.445498i	$0.146974\pi$
$439$			18.6685i			0.890997i	−0.895283	+	0.445498i	$0.853026\pi$
$440$	−1.37951	+	5.11016i	−0.0657655	+	0.243617i
$441$	−0.0792390	−	0.243873i	−0.00377329	−	0.0116130i
$442$	23.8563	−	12.1554i	1.13473	−	0.578173i
$443$	−3.51309	−	6.89482i	−0.166912	−	0.327583i	0.792367	−	0.610045i	$-0.208849\pi$
$443$	−3.51309	−	6.89482i	−0.166912	−	0.327583i	−0.959278	+	0.282462i	$0.908849\pi$
$444$	−0.481627	+	0.662902i	−0.0228570	+	0.0314600i
$445$	25.4251	−	28.1315i	1.20527	−	1.33356i
$446$	−2.85148	+	3.92472i	−0.135021	+	0.185841i
$447$	0.956025	−	6.03610i	0.0452184	−	0.285498i
$448$	−1.22295	−	2.40017i	−0.0577789	−	0.113397i
$449$	−1.18061	+	0.857765i	−0.0557166	+	0.0404804i	−0.615295	−	0.788297i	$-0.710963\pi$
$449$	−1.18061	+	0.857765i	−0.0557166	+	0.0404804i	0.559578	+	0.828777i	$0.310963\pi$
$450$	−3.87394	−	3.16111i	−0.182619	−	0.149016i
$451$	0.355680	+	0.115568i	0.0167483	+	0.00544186i
$452$	−10.4847	−	1.66061i	−0.493158	−	0.0781085i
$453$	12.3028	−	1.94857i	0.578035	−	0.0915518i
$454$	14.2268	−	4.62257i	0.667697	−	0.216948i
$455$	33.8825	+	3.62525i	1.58844	+	0.169954i
$456$	6.38770	+	2.07549i	0.299132	+	0.0971937i
$457$	0.376970	+	0.739846i	0.0176339	+	0.0346085i	0.899655	−	0.436601i	$-0.143818\pi$
$457$	0.376970	+	0.739846i	0.0176339	+	0.0346085i	−0.882022	+	0.471209i	$0.843818\pi$
$458$	−6.28485	+	12.3347i	−0.293672	+	0.576363i
$459$		−	4.73284i		−	0.220910i
$460$	−4.35277	−	1.17505i	−0.202949	−	0.0547868i
$461$	−8.50467	+	2.76333i	−0.396102	+	0.128701i	−0.500293	−	0.865856i	$-0.666775\pi$
$461$	−8.50467	+	2.76333i	−0.396102	+	0.128701i	0.104191	+	0.994557i	$0.466775\pi$
$462$	−6.29804	−	0.997512i	−0.293011	−	0.0464085i
$463$	−2.82729	−	17.8508i	−0.131396	−	0.829599i	−0.962063	−	0.272829i	$-0.912041\pi$
$463$	−2.82729	−	17.8508i	−0.131396	−	0.829599i	0.830667	−	0.556770i	$-0.187959\pi$
$464$	−7.14043			−0.331486
$465$	5.43772	+	11.1996i	0.252168	+	0.519369i
$466$	11.3658			0.526511
$467$	−5.72897	−	36.1713i	−0.265105	−	1.67381i	−0.657071	−	0.753829i	$-0.728205\pi$
$467$	−5.72897	−	36.1713i	−0.265105	−	1.67381i	0.391966	−	0.919980i	$-0.371795\pi$
$468$	5.58754	+	0.884980i	0.258284	+	0.0409082i
$469$	39.7149	−	12.9042i	1.83387	−	0.595859i
$470$	−5.96703	+	3.43021i	−0.275238	+	0.158224i
$471$		−	4.96597i		−	0.228820i
$472$	−2.98418	+	5.85678i	−0.137358	+	0.269580i
$473$	0.976568	+	1.91662i	0.0449026	+	0.0881264i
$474$	9.43441	+	3.06543i	0.433337	+	0.140800i
$475$	13.5443	+	30.7297i	0.621454	+	1.40997i
$476$	12.1252	−	3.93972i	0.555758	−	0.180577i
$477$	−6.35253	+	1.00614i	−0.290862	+	0.0460681i
$478$	10.4198	+	1.65034i	0.476592	+	0.0754847i
$479$	−6.68828	−	2.17315i	−0.305595	−	0.0992939i	0.152205	−	0.988349i	$-0.451363\pi$
$479$	−6.68828	−	2.17315i	−0.305595	−	0.0992939i	−0.457800	+	0.889055i	$0.651363\pi$
$480$	0.913308	−	2.04105i	0.0416866	−	0.0931606i
$481$	3.75017	−	2.72465i	0.170993	−	0.124234i
$482$	6.18177	+	12.1324i	0.281572	+	0.552616i
$483$	0.849667	−	5.36458i	0.0386612	−	0.244097i
$484$	3.17206	−	4.36597i	0.144185	−	0.198453i
$485$	−37.0417	+	1.87184i	−1.68198	+	0.0849958i
$486$	0.587785	−	0.809017i	0.0266625	−	0.0366978i
$487$	−6.83531	−	13.4151i	−0.309738	−	0.607894i	0.682692	−	0.730706i	$-0.260809\pi$
$487$	−6.83531	−	13.4151i	−0.309738	−	0.607894i	−0.992430	+	0.122812i	$0.960809\pi$
$488$	6.23448	−	3.17663i	0.282222	−	0.143799i
$489$	−5.30734	−	16.3343i	−0.240006	−	0.738664i
$490$	0.553563	+	0.149437i	0.0250074	+	0.00675085i
$491$		−	22.4030i		−	1.01103i	−0.862817	−	0.505516i	$-0.831302\pi$
$491$		−	22.4030i		−	1.01103i	0.862817	−	0.505516i	$-0.168698\pi$
$492$	−0.140770	−	0.0717259i	−0.00634640	−	0.00323365i
$493$	5.28662	−	33.3784i	0.238098	−	1.50329i
$494$	−30.7395	−	22.3336i	−1.38304	−	1.00483i
$495$	−2.63797	−	4.58889i	−0.118568	−	0.206255i
$496$	−4.20173	+	3.65315i	−0.188663	+	0.164031i
$497$	26.5866	+	26.5866i	1.19257	+	1.19257i
$498$	−3.11290	+	0.493035i	−0.139493	+	0.0220934i
$499$	−10.7798	+	7.83198i	−0.482570	+	0.350607i	−0.802320	−	0.596895i	$-0.796401\pi$
$499$	−10.7798	+	7.83198i	−0.482570	+	0.350607i	0.319750	+	0.947502i	$0.396401\pi$
$500$	10.6523	−	3.39522i	0.476387	−	0.151839i
$501$	16.0172			0.715594
$502$	−16.3523	+	16.3523i	−0.729839	+	0.729839i
$503$	31.2097	+	15.9022i	1.39157	+	0.709042i	0.979375	−	0.202052i	$-0.0647609\pi$
$503$	31.2097	+	15.9022i	1.39157	+	0.709042i	0.412199	+	0.911094i	$0.364761\pi$
$504$	2.56193	+	0.832422i	0.114118	+	0.0370790i
$505$	−7.26311	+	1.52964i	−0.323204	+	0.0680679i
$506$	−3.86133	−	2.80542i	−0.171657	−	0.124716i
$507$	−16.9325	−	8.62755i	−0.752000	−	0.383163i
$508$	−2.49372	−	15.7447i	−0.110641	−	0.698559i
$509$	−16.9878	+	12.3423i	−0.752970	+	0.547065i	−0.896746	−	0.442546i	$-0.854075\pi$
$509$	−16.9878	+	12.3423i	−0.752970	+	0.547065i	0.143776	+	0.989610i	$0.454075\pi$
$510$	8.86481	+	5.78047i	0.392540	+	0.255963i
$511$	−13.1774	−	18.1371i	−0.582932	−	0.802338i
$512$	0.987688	+	0.156434i	0.0436501	+	0.00691349i
$513$	−5.98438	+	3.04919i	−0.264217	+	0.134625i
$514$	−0.599000	−	0.824453i	−0.0264208	−	0.0363651i
$515$	14.5519	+	18.0390i	0.641234	+	0.794892i
$516$	−0.280811	−	0.864246i	−0.0123620	−	0.0380463i
$517$	−7.19646	+	1.13981i	−0.316500	+	0.0501287i
$518$	1.96668	−	1.00207i	0.0864110	−	0.0440286i
$519$	−1.38144	+	4.25164i	−0.0606386	+	0.186626i
$520$	−8.48197	+	9.38484i	−0.371959	+	0.411553i
$521$	1.85970			0.0814748			0.0407374	−	0.999170i	$-0.487029\pi$
$521$	1.85970			0.0814748			0.0407374	+	0.999170i	$0.487029\pi$
$522$	5.04905	−	5.04905i	0.220991	−	0.220991i
$523$	9.40137	−	18.4512i	0.411093	−	0.806816i	−0.588906	−	0.808202i	$-0.700441\pi$
$523$	9.40137	−	18.4512i	0.411093	−	0.806816i	0.999999	+	0.00138592i	$0.000441153\pi$
$524$	−6.93066	−	9.53923i	−0.302767	−	0.416723i
$525$	5.43224	+	12.3248i	0.237082	+	0.537900i
$526$		−	25.3845i		−	1.10682i
$527$	−13.9660	−	22.3460i	−0.608369	−	0.973405i
$528$	1.67382	−	1.67382i	0.0728438	−	0.0728438i
$529$	−11.1294	+	15.3184i	−0.483889	+	0.666016i
$530$	5.87414	−	13.1274i	0.255156	−	0.570219i
$531$	−2.03124	−	6.25151i	−0.0881482	−	0.271292i
$532$	−12.7934	−	12.7934i	−0.554662	−	0.554662i
$533$	0.631997	+	0.631997i	0.0273748	+	0.0273748i
$534$	−16.1277	+	5.24022i	−0.697915	+	0.226766i
$535$	−5.72901	−	3.73571i	−0.247687	−	0.161509i
$536$	−4.79037	+	14.7432i	−0.206912	+	0.636811i
$537$	−1.84066	−	11.6215i	−0.0794304	−	0.501504i
$538$	7.93607	−	15.5754i	0.342148	−	0.671504i
$539$	0.491065	+	0.356779i	0.0211517	+	0.0153676i
$540$	0.797431	+	2.08904i	0.0343160	+	0.0898981i
$541$	2.36041	−	7.26461i	0.101482	−	0.312330i	−0.887407	−	0.460988i	$-0.847495\pi$
$541$	2.36041	−	7.26461i	0.101482	−	0.312330i	0.988889	+	0.148658i	$0.0474952\pi$
$542$	3.19907	−	20.1981i	0.137412	−	0.867583i
$543$	−1.20511	+	7.60875i	−0.0517161	+	0.326523i
$544$	−1.46253	+	4.50119i	−0.0627053	+	0.192987i
$545$	−7.30722	+	16.3301i	−0.313007	+	0.699503i
$546$	−12.3288	−	8.95738i	−0.527623	−	0.383340i
$547$	−3.84969	+	7.55545i	−0.164601	+	0.323048i	−0.958544	−	0.284945i	$-0.908025\pi$
$547$	−3.84969	+	7.55545i	−0.164601	+	0.323048i	0.793943	+	0.607992i	$0.208025\pi$
$548$	−2.35916	−	14.8952i	−0.100778	−	0.636289i
$549$	−2.16223	+	6.65466i	−0.0922817	+	0.284014i
$550$	11.8171	+	0.663622i	0.503883	+	0.0282970i
$551$	−45.6110	+	14.8199i	−1.94309	+	0.631349i
$552$	1.42574	+	1.42574i	0.0606835	+	0.0606835i
$553$	−18.8953	−	18.8953i	−0.803512	−	0.803512i
$554$	−3.35281	−	10.3189i	−0.142447	−	0.438407i
$555$	1.67242	+	0.748358i	0.0709902	+	0.0317660i
$556$	−5.72573	+	7.88079i	−0.242825	+	0.334220i
$557$	−4.96435	+	4.96435i	−0.210346	+	0.210346i	−0.804415	−	0.594068i	$-0.797521\pi$
$557$	−4.96435	+	4.96435i	−0.210346	+	0.210346i	0.594068	+	0.804415i	$0.297521\pi$
$558$	0.387904	−	5.55424i	0.0164213	−	0.235130i
$559$			5.14082i			0.217433i
$560$	−4.68819	+	3.78193i	−0.198112	+	0.159816i
$561$	6.58513	+	9.06366i	0.278024	+	0.382668i
$562$	8.04971	−	15.7984i	0.339556	−	0.666417i
$563$	−25.2925	+	25.2925i	−1.06595	+	1.06595i	−0.0682861	+	0.997666i	$0.521753\pi$
$563$	−25.2925	+	25.2925i	−1.06595	+	1.06595i	−0.997666	+	0.0682861i	$0.978247\pi$
$564$	3.07804			0.129609
$565$	1.19796	+	23.7064i	0.0503987	+	0.997337i
$566$	3.09176	−	9.51547i	0.129957	−	0.399965i
$567$	−2.40017	+	1.22295i	−0.100798	+	0.0513590i
$568$	−13.7859	+	2.18348i	−0.578445	+	0.0916166i
$569$	11.3864	+	35.0437i	0.477342	+	1.46911i	0.842773	+	0.538269i	$0.180922\pi$
$569$	11.3864	+	35.0437i	0.477342	+	1.46911i	−0.365431	+	0.930839i	$0.619078\pi$
$570$	1.59777	−	14.9332i	0.0669232	−	0.625481i
$571$	10.6284	+	14.6287i	0.444785	+	0.612194i	0.971267	−	0.237992i	$-0.0764893\pi$
$571$	10.6284	+	14.6287i	0.444785	+	0.612194i	−0.526482	+	0.850186i	$0.676489\pi$
$572$	−11.9318	+	6.07956i	−0.498894	+	0.254199i
$573$	−4.00875	−	0.634923i	−0.167468	−	0.0265243i
$574$	0.250155	+	0.344309i	0.0104413	+	0.0143712i
$575$	−0.565264	+	10.0656i	−0.0235731	+	0.419766i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	−6.67819	−	42.1644i	−0.278016	−	1.75533i	−0.592037	−	0.805911i	$-0.701676\pi$
$577$	−6.67819	−	42.1644i	−0.278016	−	1.75533i	0.314020	−	0.949416i	$-0.398324\pi$
$578$	−4.81119	−	2.45143i	−0.200119	−	0.101966i
$579$	−20.5901	−	14.9596i	−0.855697	−	0.621700i
$580$	3.29042	+	15.6238i	0.136627	+	0.648741i
$581$	8.07446	+	2.62355i	0.334985	+	0.108843i
$582$	14.7788	+	7.53020i	0.612603	+	0.312137i
$583$	10.7655	−	10.7655i	0.445863	−	0.445863i
$584$	8.32240			0.344383
$585$	−0.638425	−	12.6337i	−0.0263956	−	0.522341i
$586$	−20.4418	+	14.8518i	−0.844442	+	0.613523i
$587$	10.5540	−	1.67159i	0.435610	−	0.0689938i	0.0652214	−	0.997871i	$-0.479225\pi$
$587$	10.5540	−	1.67159i	0.435610	−	0.0689938i	0.370388	+	0.928877i	$0.379225\pi$
$588$	−0.181318	−	0.181318i	−0.00747744	−	0.00747744i
$589$	−19.2573	+	32.0559i	−0.793483	+	1.32084i
$590$	14.1902	+	3.83070i	0.584202	+	0.157708i
$591$	−15.0513	−	10.9354i	−0.619127	−	0.449822i
$592$	−0.128181	+	0.809304i	−0.00526822	+	0.0332622i
$593$	1.30674	+	0.665816i	0.0536613	+	0.0273418i	0.480615	−	0.876932i	$-0.340413\pi$
$593$	1.30674	+	0.665816i	0.0536613	+	0.0273418i	−0.426954	+	0.904273i	$0.640413\pi$
$594$			2.36714i			0.0971250i
$595$	−14.2078	−	24.7153i	−0.582465	−	1.01323i
$596$	−1.88851	−	5.81224i	−0.0773564	−	0.238078i
$597$	12.0675	−	6.14869i	0.493890	−	0.251649i
$598$	−5.17848	−	10.1633i	−0.211764	−	0.415610i
$599$	−18.1283	+	24.9515i	−0.740702	+	1.01949i	0.257875	+	0.966178i	$0.416978\pi$
$599$	−18.1283	+	24.9515i	−0.740702	+	1.01949i	−0.998578	+	0.0533113i	$0.983022\pi$
$600$	−4.88682	−	1.05784i	−0.199503	−	0.0431860i
$601$	16.2485	−	22.3642i	0.662791	−	0.912253i	−0.336779	−	0.941584i	$-0.609338\pi$
$601$	16.2485	−	22.3642i	0.662791	−	0.912253i	0.999570	+	0.0293304i	$0.00933750\pi$
$602$	−0.382935	+	2.41776i	−0.0156073	+	0.0985404i
$603$	−7.03774	−	13.8123i	−0.286599	−	0.562482i
$604$	10.0772	−	7.32153i	0.410037	−	0.297909i
$605$	−11.0148	−	4.92879i	−0.447815	−	0.200384i
$606$	3.15695	+	1.02576i	0.128242	+	0.0416685i
$607$	16.7151	+	2.64741i	0.678444	+	0.107455i	0.486141	−	0.873880i	$-0.338404\pi$
$607$	16.7151	+	2.64741i	0.678444	+	0.107455i	0.192304	+	0.981335i	$0.438404\pi$
$608$	6.63374	−	1.05068i	0.269034	−	0.0426107i
$609$	−18.2933	+	5.94385i	−0.741282	+	0.240857i
$610$	−9.82362	−	12.1776i	−0.397747	−	0.493058i
$611$	−16.5608	−	5.38094i	−0.669979	−	0.217689i
$612$	−2.14866	−	4.21699i	−0.0868545	−	0.170462i
$613$	−14.7308	+	28.9108i	−0.594970	+	1.16769i	0.375579	+	0.926790i	$0.377444\pi$
$613$	−14.7308	+	28.9108i	−0.594970	+	1.16769i	−0.970549	+	0.240904i	$0.922556\pi$
$614$			27.5397i			1.11141i
$615$	−0.0920723	+	0.341067i	−0.00371271	+	0.0137531i
$616$	−6.06446	+	1.97046i	−0.244344	+	0.0793922i
$617$	29.7024	+	4.70440i	1.19577	+	0.189392i	0.722403	−	0.691472i	$-0.243037\pi$
$617$	29.7024	+	4.70440i	1.19577	+	0.189392i	0.473370	+	0.880864i	$0.343037\pi$
$618$	−1.62144	−	10.2374i	−0.0652238	−	0.411807i
$619$	23.1835			0.931824			0.465912	−	0.884831i	$-0.345726\pi$
$619$	23.1835			0.931824			0.465912	+	0.884831i	$0.345726\pi$
$620$	9.92956	+	7.51025i	0.398781	+	0.301619i
$621$	−2.01630			−0.0809113
$622$	1.85182	+	11.6920i	0.0742514	+	0.468805i
$623$	45.1178	+	7.14596i	1.80761	+	0.286297i
$624$	5.38031	−	1.74817i	0.215385	−	0.0699827i
$625$	−12.3377	−	21.7435i	−0.493510	−	0.869740i
$626$		−	21.0978i		−	0.843239i
$627$	7.21788	−	14.1659i	0.288254	−	0.565731i
$628$	−2.25450	−	4.42471i	−0.0899645	−	0.176565i
$629$	−3.68824	−	1.19838i	−0.147060	−	0.0477827i
$630$	0.640822	−	5.98928i	0.0255309	−	0.238619i
$631$	18.8486	−	6.12427i	0.750349	−	0.243803i	0.0912177	−	0.995831i	$-0.470924\pi$
$631$	18.8486	−	6.12427i	0.750349	−	0.243803i	0.659131	+	0.752028i	$0.270924\pi$
$632$	9.79779	−	1.55182i	0.389735	−	0.0617280i
$633$	11.6174	+	1.84001i	0.461749	+	0.0731338i
$634$	−1.01800	−	0.330769i	−0.0404300	−	0.0131365i
$635$	−33.3014	+	12.7118i	−1.32153	+	0.504453i
$636$	−5.20336	+	3.78047i	−0.206327	+	0.149905i
$637$	0.658574	+	1.29252i	0.0260936	+	0.0512116i
$638$	−2.64412	+	16.6943i	−0.104682	+	0.660935i
$639$	8.20417	−	11.2921i	0.324552	−	0.446707i
$640$	−0.112852	−	2.23322i	−0.00446086	−	0.0882757i
$641$	−18.7681	+	25.8321i	−0.741295	+	1.02031i	0.257248	+	0.966345i	$0.417184\pi$
$641$	−18.7681	+	25.8321i	−0.741295	+	1.02031i	−0.998543	+	0.0539597i	$0.982816\pi$
$642$	1.38860	+	2.72529i	0.0548038	+	0.107559i
$643$	−19.8279	+	10.1028i	−0.781936	+	0.398416i	−0.798918	−	0.601440i	$-0.794594\pi$
$643$	−19.8279	+	10.1028i	−0.781936	+	0.398416i	0.0169826	+	0.999856i	$0.494594\pi$
$644$	−1.67841	−	5.16562i	−0.0661387	−	0.203554i
$645$	−1.76163	+	1.01269i	−0.0693641	+	0.0398747i
$646$			31.7877i			1.25067i
$647$	−29.0013	−	14.7769i	−1.14016	−	0.580939i	−0.221173	−	0.975235i	$-0.570989\pi$
$647$	−29.0013	−	14.7769i	−1.14016	−	0.580939i	−0.918984	+	0.394295i	$0.870989\pi$
$648$	0.156434	−	0.987688i	0.00614533	−	0.0388001i
$649$	12.5881	+	9.14580i	0.494126	+	0.359004i
$650$	24.4433	+	14.2345i	0.958745	+	0.558322i
$651$	−7.72358	+	12.8567i	−0.302711	+	0.503895i
$652$	−12.1445	−	12.1445i	−0.475616	−	0.475616i
$653$	−39.7652	+	6.29818i	−1.55613	+	0.246467i	−0.874426	−	0.485160i	$-0.838761\pi$
$653$	−39.7652	+	6.29818i	−1.55613	+	0.246467i	−0.681706	+	0.731627i	$0.738761\pi$
$654$	6.47280	−	4.70277i	0.253107	−	0.183893i
$655$	−17.6788	+	19.5606i	−0.690766	+	0.764295i
$656$	−0.157990			−0.00616846
$657$	−5.88483	+	5.88483i	−0.229589	+	0.229589i
$658$	−7.38783	−	3.76429i	−0.288008	−	0.146747i
$659$	27.3159	+	8.87546i	1.06407	+	0.345739i	0.788177	−	0.615448i	$-0.211025\pi$
$659$	27.3159	+	8.87546i	1.06407	+	0.345739i	0.275897	+	0.961187i	$0.411025\pi$
$660$	−4.43376	−	2.89112i	−0.172584	−	0.112537i
$661$	−4.35184	−	3.16179i	−0.169267	−	0.122980i	0.499927	−	0.866068i	$-0.333360\pi$
$661$	−4.35184	−	3.16179i	−0.169267	−	0.122980i	−0.669194	+	0.743088i	$0.733360\pi$
$662$	5.15496	+	2.62658i	0.200353	+	0.102085i
$663$	4.18846	+	26.4449i	0.162666	+	1.02704i
$664$	−2.54978	+	1.85253i	−0.0989508	+	0.0718920i
$665$	−22.0974	+	33.8881i	−0.856900	+	1.31413i
$666$	−0.481627	−	0.662902i	−0.0186627	−	0.0256869i
$667$	−14.2200	−	2.25223i	−0.550600	−	0.0872065i
$668$	14.2714	−	7.27164i	0.552177	−	0.281348i
$669$	−2.85148	−	3.92472i	−0.110244	−	0.151738i
$670$	34.4667	+	3.68776i	1.33156	+	0.142470i
$671$	−5.11831	−	15.7525i	−0.197590	−	0.608120i
$672$	2.66061	−	0.421399i	0.102635	−	0.0162558i
$673$	−5.73569	+	2.92248i	−0.221094	+	0.112653i	−0.561030	−	0.827796i	$-0.689595\pi$
$673$	−5.73569	+	2.92248i	−0.221094	+	0.112653i	0.339936	+	0.940449i	$0.389595\pi$
$674$	−5.93043	+	18.2520i	−0.228432	+	0.703041i
$675$	4.20351	−	2.70750i	0.161793	−	0.104212i
$676$	−19.0038			−0.730916
$677$	25.8226	−	25.8226i	0.992444	−	0.992444i	−0.00752797	−	0.999972i	$-0.502396\pi$
$677$	25.8226	−	25.8226i	0.992444	−	0.992444i	0.999972	+	0.00752797i	$0.00239625\pi$
$678$	4.81928	−	9.45836i	0.185083	−	0.363246i
$679$	−26.2627	−	36.1475i	−1.00787	−	1.38721i
$680$	10.5229	+	1.12589i	0.403534	+	0.0431760i
$681$			14.9589i			0.573228i
$682$	6.98515	+	11.1764i	0.267475	+	0.427967i
$683$	5.84510	−	5.84510i	0.223656	−	0.223656i	−0.586380	−	0.810036i	$-0.699447\pi$
$683$	5.84510	−	5.84510i	0.223656	−	0.223656i	0.810036	+	0.586380i	$0.199447\pi$
$684$	−3.94782	+	5.43370i	−0.150949	+	0.207763i
$685$	−31.5045	+	12.0259i	−1.20373	+	0.459487i
$686$	−5.61350	−	17.2766i	−0.214325	−	0.659623i
$687$	−9.78888	−	9.78888i	−0.373469	−	0.373469i
$688$	−0.642564	−	0.642564i	−0.0244975	−	0.0244975i
$689$	34.6046	−	11.2437i	1.31833	−	0.428351i
$690$	2.46261	−	3.77662i	0.0937501	−	0.143773i
$691$	5.98506	−	18.4201i	0.227682	−	0.700735i	−0.770326	−	0.637651i	$-0.779906\pi$
$691$	5.98506	−	18.4201i	0.227682	−	0.700735i	0.998008	−	0.0630840i	$-0.0200936\pi$
$692$	0.699331	+	4.41540i	0.0265846	+	0.167848i
$693$	2.89489	−	5.68155i	0.109968	−	0.215824i
$694$	17.0695	+	12.4017i	0.647948	+	0.470761i
$695$	19.8822	+	8.89670i	0.754175	+	0.337471i
$696$	2.20651	−	6.79095i	0.0836377	−	0.257410i
$697$	0.116972	−	0.738534i	0.00443064	−	0.0279740i
$698$	−0.0137656	+	0.0869127i	−0.000521036	+	0.00328969i
$699$	−3.51223	+	10.8095i	−0.132845	+	0.408854i
$700$	10.4355	+	8.51532i	0.394425	+	0.321849i
$701$	25.8790	+	18.8022i	0.977437	+	0.710149i	0.957134	−	0.289645i	$-0.0935371\pi$
$701$	25.8790	+	18.8022i	0.977437	+	0.710149i	0.0203025	+	0.999794i	$0.493537\pi$
$702$	−2.56831	+	5.04059i	−0.0969347	+	0.190245i
$703$	0.860920	+	5.43563i	0.0324702	+	0.205009i
$704$	0.731487	−	2.25129i	0.0275690	−	0.0848485i
$705$	−1.41841	−	6.73497i	−0.0534203	−	0.253654i
$706$	−12.4890	+	4.05793i	−0.470030	+	0.152722i
$707$	−6.32278	−	6.32278i	−0.237793	−	0.237793i
$708$	−4.64797	−	4.64797i	−0.174681	−	0.174681i
$709$	13.7733	+	42.3898i	0.517266	+	1.59198i	0.779121	+	0.626874i	$0.215666\pi$
$709$	13.7733	+	42.3898i	0.517266	+	1.59198i	−0.261855	+	0.965107i	$0.584334\pi$
$710$	11.1304	+	29.1584i	0.417715	+	1.09429i
$711$	−5.83079	+	8.02539i	−0.218672	+	0.300976i
$712$	−11.9909	+	11.9909i	−0.449378	+	0.449378i
$713$	−9.51990	+	5.94985i	−0.356523	+	0.222824i
$714$			12.7492i			0.477127i
$715$	18.8009	+	23.3061i	0.703112	+	0.871598i
$716$	−6.91608	−	9.51917i	−0.258466	−	0.355748i
$717$	−4.78947	+	9.39986i	−0.178866	+	0.351044i
$718$	−1.34595	+	1.34595i	−0.0502305	+	0.0502305i
$719$	48.2695			1.80015			0.900074	−	0.435737i	$-0.143512\pi$
$719$	48.2695			1.80015			0.900074	+	0.435737i	$0.143512\pi$
$720$	1.65892	+	1.49933i	0.0618244	+	0.0558766i
$721$	−8.62802	+	26.5543i	−0.321324	+	0.988935i
$722$	23.2645	−	11.8539i	0.865816	−	0.441155i
$723$	−13.4489	+	2.13009i	−0.500169	+	0.0792190i
$724$	2.38054	+	7.32656i	0.0884722	+	0.272289i
$725$	32.6696	−	14.3993i	1.21332	−	0.534778i
$726$	3.17206	+	4.36597i	0.117726	+	0.162036i
$727$	−13.1663	+	6.70858i	−0.488312	+	0.248808i	−0.680769	−	0.732498i	$-0.738354\pi$
$727$	−13.1663	+	6.70858i	−0.488312	+	0.248808i	0.192457	+	0.981305i	$0.438354\pi$
$728$	−15.0516	−	2.38394i	−0.557849	−	0.0883546i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−3.83509	−	18.2100i	−0.141943	−	0.673982i
$731$	3.47945	−	2.52797i	0.128692	−	0.0935002i
$732$	1.09459	+	6.91098i	0.0404573	+	0.255437i
$733$	15.7291	+	8.01439i	0.580968	+	0.296018i	0.719670	−	0.694316i	$-0.244293\pi$
$733$	15.7291	+	8.01439i	0.580968	+	0.296018i	−0.138702	+	0.990334i	$0.544293\pi$
$734$	−20.0299	−	14.5525i	−0.739316	−	0.537144i
$735$	−0.313183	+	0.480291i	−0.0115519	+	0.0177158i
$736$	1.91761	+	0.623071i	0.0706842	+	0.0229667i
$737$	32.6958	+	16.6593i	1.20436	+	0.613654i
$738$	0.111716	−	0.111716i	0.00411231	−	0.00411231i
$739$	0.217998			0.00801918			0.00400959	−	0.999992i	$-0.498724\pi$
$739$	0.217998			0.00801918			0.00400959	+	0.999992i	$0.498724\pi$
$740$	1.82988	−	0.0924700i	0.0672678	−	0.00339926i
$741$	30.7395	−	22.3336i	1.12924	−	0.820444i
$742$	17.1123	−	2.71032i	0.628212	−	0.0994989i
$743$	−10.9271	−	10.9271i	−0.400878	−	0.400878i	0.477665	−	0.878542i	$-0.341483\pi$
$743$	−10.9271	−	10.9271i	−0.400878	−	0.400878i	−0.878542	+	0.477665i	$0.841483\pi$
$744$	−2.17595	−	5.12496i	−0.0797740	−	0.187890i
$745$	−11.8473	+	6.81056i	−0.434052	+	0.249519i
$746$	−15.4092	−	11.1954i	−0.564170	−	0.409893i
$747$	0.493035	−	3.11290i	0.0180392	−	0.113895i
$748$	9.98221	+	5.08619i	0.364986	+	0.185970i
$749$		−	8.23935i		−	0.301059i
$750$	−0.0627051	+	11.1802i	−0.00228967	+	0.408242i
$751$	10.1872	+	31.3528i	0.371735	+	1.14408i	0.945655	+	0.325170i	$0.105422\pi$
$751$	10.1872	+	31.3528i	0.371735	+	1.14408i	−0.573921	+	0.818911i	$0.694578\pi$
$752$	2.74256	−	1.39740i	0.100011	−	0.0509580i
$753$	−10.4988	−	20.6051i	−0.382598	−	0.750892i
$754$	−23.7435	+	32.6801i	−0.864686	+	1.19014i
$755$	−20.6638	−	18.6758i	−0.752031	−	0.679682i
$756$	−1.58336	+	2.17931i	−0.0575863	+	0.0792607i
$757$	−1.10995	+	7.00793i	−0.0403417	+	0.254708i	−0.999614	−	0.0277747i	$-0.991158\pi$
$757$	−1.10995	+	7.00793i	−0.0403417	+	0.254708i	0.959272	+	0.282482i	$0.0911579\pi$
$758$	−1.54298	−	3.02826i	−0.0560434	−	0.109991i
$759$	3.86133	−	2.80542i	0.140157	−	0.101830i
$760$	−5.35589	−	14.0309i	−0.194278	−	0.508955i
$761$	−1.40981	−	0.458076i	−0.0511056	−	0.0166052i	0.283353	−	0.959016i	$-0.408553\pi$
$761$	−1.40981	−	0.458076i	−0.0511056	−	0.0166052i	−0.334458	+	0.942411i	$0.608553\pi$
$762$	15.7447	+	2.49372i	0.570371	+	0.0903379i
$763$	−21.2871	+	3.37154i	−0.770644	+	0.122058i
$764$	−3.86007	+	1.25421i	−0.139652	+	0.0453758i
$765$	−8.23693	+	6.64467i	−0.297807	+	0.240239i
$766$	−20.3810	−	6.62218i	−0.736394	−	0.239269i
$767$	16.8821	+	33.1330i	0.609577	+	1.19636i
$768$	−0.453990	+	0.891007i	−0.0163820	+	0.0321514i
$769$		−	41.9551i		−	1.51294i	−0.654028	−	0.756470i	$-0.726922\pi$
$769$		−	41.9551i		−	1.51294i	0.654028	−	0.756470i	$-0.273078\pi$
$770$	7.10610	+	12.3614i	0.256086	+	0.445475i
$771$	0.969203	−	0.314913i	0.0349050	−	0.0113413i
$772$	−25.1375	−	3.98138i	−0.904717	−	0.143293i
$773$	−7.25318	−	45.7948i	−0.260879	−	1.64712i	−0.675668	−	0.737206i	$-0.736145\pi$
$773$	−7.25318	−	45.7948i	−0.260879	−	1.64712i	0.414789	−	0.909918i	$-0.363855\pi$
$774$	0.908722			0.0326634
$775$	11.8573	−	25.1874i	0.425925	−	0.904758i
$776$	16.5867			0.595427
$777$	0.345291	+	2.18008i	0.0123873	+	0.0782101i
$778$	12.3043	+	1.94882i	0.441132	+	0.0698684i
$779$	−1.00919	+	0.327906i	−0.0361580	+	0.0117485i
$780$	−6.30444	−	10.9669i	−0.225735	−	0.392678i
$781$			33.0400i			1.18227i
$782$	−4.33235	+	8.50271i	−0.154924	+	0.304056i
$783$	3.24169	+	6.36217i	0.115848	+	0.227365i
$784$	−0.243873	−	0.0792390i	−0.00870973	−	0.00282996i
$785$	−8.64267	+	6.97198i	−0.308470	+	0.248841i
$786$	11.2140	−	3.64366i	0.399992	−	0.129965i
$787$	−36.6552	+	5.80562i	−1.30662	+	0.206948i	−0.770633	−	0.637280i	$-0.780060\pi$
$787$	−36.6552	+	5.80562i	−1.30662	+	0.206948i	−0.535985	+	0.844228i	$0.680060\pi$
$788$	−18.3754	−	2.91037i	−0.654595	−	0.103678i
$789$	24.1421	+	7.84424i	0.859482	+	0.279262i
$790$	−7.91046	−	20.7232i	−0.281441	−	0.737297i
$791$	−23.1342	+	16.8080i	−0.822556	+	0.597622i
$792$	1.07466	+	2.10914i	0.0381864	+	0.0749450i
$793$	6.19231	−	39.0967i	0.219895	−	1.38837i
$794$	21.6069	−	29.7394i	0.766802	−	1.05541i
$795$	10.6697	+	9.64323i	0.378416	+	0.342010i
$796$	7.96076	−	10.9571i	0.282162	−	0.388362i
$797$	−10.7327	−	21.0640i	−0.380171	−	0.746127i	0.619060	−	0.785344i	$-0.287514\pi$
$797$	−10.7327	−	21.0640i	−0.380171	−	0.746127i	−0.999231	+	0.0392169i	$0.987514\pi$
$798$	16.1206	−	8.21384i	0.570662	−	0.290767i
$799$	4.50172	+	13.8549i	0.159259	+	0.490150i
$800$	−4.83443	+	1.27603i	−0.170923	+	0.0451144i
$801$		−	16.9577i		−	0.599171i
$802$	12.2381	+	6.23564i	0.432144	+	0.220188i
$803$	3.08181	−	19.4578i	0.108755	−	0.686650i
$804$	−12.5413	−	9.11182i	−0.442299	−	0.321349i
$805$	−10.5293	+	6.05288i	−0.371109	+	0.213336i
$806$	2.74796	+	31.3778i	0.0967927	+	1.10524i
$807$	12.3607	+	12.3607i	0.435118	+	0.435118i
$808$	3.27855	−	0.519271i	0.115339	−	0.0182679i
$809$	33.5328	−	24.3630i	1.17895	−	0.856558i	0.186898	−	0.982379i	$-0.440157\pi$
$809$	33.5328	−	24.3630i	1.17895	−	0.856558i	0.992053	+	0.125821i	$0.0401566\pi$
$810$	−2.23322	+	0.112852i	−0.0784673	+	0.00396521i
$811$	−31.6574			−1.11164			−0.555821	−	0.831302i	$-0.687596\pi$
$811$	−31.6574			−1.11164			−0.555821	+	0.831302i	$0.687596\pi$
$812$	−13.6010	+	13.6010i	−0.477301	+	0.477301i
$813$	18.2210	+	9.28405i	0.639038	+	0.325606i
$814$	1.84469	+	0.599375i	0.0646562	+	0.0210081i
$815$	−20.9767	+	32.1694i	−0.734780	+	1.12684i
$816$	−3.82894	−	2.78189i	−0.134040	−	0.0973857i
$817$	−5.43814	−	2.77087i	−0.190256	−	0.0969405i
$818$	0.994621	+	6.27979i	0.0347761	+	0.219568i
$819$	12.3288	−	8.95738i	0.430802	−	0.312996i
$820$	0.0728040	+	0.345693i	0.00254243	+	0.0120721i
$821$	20.8726	+	28.7286i	0.728457	+	1.00264i	0.999200	+	0.0399839i	$0.0127307\pi$
$821$	20.8726	+	28.7286i	0.728457	+	1.00264i	−0.270743	+	0.962652i	$0.587269\pi$
$822$	14.8952	+	2.35916i	0.519528	+	0.0822852i
$823$	9.44960	−	4.81481i	0.329392	−	0.167834i	−0.281471	−	0.959570i	$-0.590822\pi$
$823$	9.44960	−	4.81481i	0.329392	−	0.167834i	0.610863	+	0.791736i	$0.290822\pi$
$824$	−6.09237	−	8.38543i	−0.212238	−	0.292120i
$825$	−4.28282	+	11.0337i	−0.149109	+	0.384142i
$826$	5.47170	+	16.8402i	0.190385	+	0.585944i
$827$	30.8983	−	4.89380i	1.07444	−	0.170174i	0.405948	−	0.913896i	$-0.366941\pi$
$827$	30.8983	−	4.89380i	1.07444	−	0.170174i	0.668489	+	0.743722i	$0.266941\pi$
$828$	−1.79654	+	0.915381i	−0.0624339	+	0.0318117i
$829$	13.4678	−	41.4496i	0.467756	−	1.43961i	−0.387727	−	0.921774i	$-0.626740\pi$
$829$	13.4678	−	41.4496i	0.467756	−	1.43961i	0.855483	−	0.517831i	$-0.173260\pi$
$830$	5.22844	+	4.72543i	0.181482	+	0.164022i
$831$	10.8499			0.376380
$832$	4.00024	−	4.00024i	0.138683	−	0.138683i
$833$	0.550966	−	1.08133i	0.0190898	−	0.0374659i
$834$	−5.72573	−	7.88079i	−0.198266	−	0.272889i
$835$	−22.4873	−	27.8759i	−0.778206	−	0.964687i
$836$		−	15.8987i		−	0.549869i
$837$	5.16252	+	2.08527i	0.178443	+	0.0720775i
$838$	−12.1335	+	12.1335i	−0.419144	+	0.419144i
$839$	−10.1242	+	13.9348i	−0.349526	+	0.481082i	−0.947193	−	0.320663i	$-0.896094\pi$
$839$	−10.1242	+	13.9348i	−0.349526	+	0.481082i	0.597667	+	0.801744i	$0.296094\pi$
$840$	−2.14810	−	5.62741i	−0.0741165	−	0.194164i
$841$	6.79398	+	20.9097i	0.234275	+	0.721024i
$842$	−25.6112	−	25.6112i	−0.882622	−	0.882622i
$843$	12.5377	+	12.5377i	0.431822	+	0.431822i
$844$	11.1865	−	3.63471i	0.385055	−	0.125112i
$845$	8.75724	+	41.5817i	0.301258	+	1.43045i
$846$	−0.951168	+	2.92739i	−0.0327018	+	0.100646i
$847$	−2.27414	−	14.3583i	−0.0781403	−	0.493359i
$848$	−2.91994	+	5.73070i	−0.100271	+	0.196793i
$849$	8.09434	+	5.88089i	0.277797	+	0.201831i
$850$	−2.38557	−	23.5436i	−0.0818243	−	0.807540i
$851$	−0.510539	+	1.57128i	−0.0175011	+	0.0538627i
$852$	2.18348	−	13.7859i	0.0748047	−	0.472298i
$853$	0.283824	−	1.79199i	0.00971794	−	0.0613566i	−0.982353	−	0.187037i	$-0.940111\pi$
$853$	0.283824	−	1.79199i	0.00971794	−	0.0613566i	0.992071	+	0.125681i	$0.0401115\pi$
$854$	5.82456	−	17.9262i	0.199312	−	0.613420i
$855$	13.7085	+	6.13417i	0.468822	+	0.209784i
$856$	2.47451	+	1.79784i	0.0845770	+	0.0614488i
$857$	−6.74535	+	13.2385i	−0.230417	+	0.452218i	−0.977048	−	0.213020i	$-0.931670\pi$
$857$	−6.74535	+	13.2385i	−0.230417	+	0.452218i	0.746631	+	0.665238i	$0.231670\pi$
$858$	−2.09487	−	13.2265i	−0.0715178	−	0.451546i
$859$	6.28836	−	19.3536i	0.214556	−	0.660336i	−0.784629	−	0.619966i	$-0.787146\pi$
$859$	6.28836	−	19.3536i	0.214556	−	0.660336i	0.999185	−	0.0403697i	$-0.0128536\pi$
$860$	−1.10987	+	1.70208i	−0.0378463	+	0.0580404i
$861$	−0.404759	+	0.131514i	−0.0137942	+	0.00448199i
$862$	28.5520	+	28.5520i	0.972487	+	0.972487i
$863$	23.8814	+	23.8814i	0.812934	+	0.812934i	0.985073	−	0.172139i	$-0.0550678\pi$
$863$	23.8814	+	23.8814i	0.812934	+	0.812934i	−0.172139	+	0.985073i	$0.555068\pi$
$864$	−0.309017	−	0.951057i	−0.0105130	−	0.0323556i
$865$	9.33895	−	3.56487i	0.317534	−	0.121209i
$866$	18.3889	−	25.3102i	0.624881	−	0.860076i
$867$	3.81818	−	3.81818i	0.129672	−	0.129672i
$868$	−1.04492	+	14.9619i	−0.0354671	+	0.507839i
$869$		−	23.4819i		−	0.796568i
$870$	−15.8759	−	1.69864i	−0.538243	−	0.0575892i
$871$	51.5473	+	70.9488i	1.74661	+	2.40401i
$872$	3.63230	−	7.12879i	0.123005	−	0.241411i
$873$	−11.7286	+	11.7286i	−0.396951	+	0.396951i
$874$	13.5423			0.458076
$875$	13.8233	−	26.7576i	0.467312	−	0.904573i
$876$	−2.57176	+	7.91507i	−0.0868918	+	0.267426i
$877$	13.0576	−	6.65316i	0.440922	−	0.224661i	−0.219413	−	0.975632i	$-0.570414\pi$
$877$	13.0576	−	6.65316i	0.440922	−	0.224661i	0.660335	+	0.750971i	$0.270414\pi$
$878$	−18.4386	+	2.92039i	−0.622273	+	0.0985584i
$879$	−7.80806	−	24.0307i	−0.263359	−	0.810537i
$880$	−5.26305	−	0.563119i	−0.177417	−	0.0189827i
$881$	1.26396	+	1.73969i	0.0425838	+	0.0586116i	0.829778	−	0.558094i	$-0.188467\pi$
$881$	1.26396	+	1.73969i	0.0425838	+	0.0586116i	−0.787194	+	0.616705i	$0.788467\pi$
$882$	0.228474	−	0.116414i	0.00769313	−	0.00391985i
$883$	−0.292757	−	0.0463682i	−0.00985206	−	0.00156041i	0.151506	−	0.988456i	$-0.451588\pi$
$883$	−0.292757	−	0.0463682i	−0.00985206	−	0.00156041i	−0.161359	+	0.986896i	$0.551588\pi$
$884$	15.7377	+	21.6611i	0.529316	+	0.728541i
$885$	−8.02823	+	12.3119i	−0.269866	+	0.413861i
$886$	6.26037	−	4.54842i	0.210321	−	0.152807i
$887$	−0.648323	−	4.09335i	−0.0217686	−	0.137441i	0.974410	−	0.224776i	$-0.0721650\pi$
$887$	−0.648323	−	4.09335i	−0.0217686	−	0.137441i	−0.996179	+	0.0873347i	$0.972165\pi$
$888$	−0.730084	−	0.371996i	−0.0245000	−	0.0124834i
$889$	−34.7403	−	25.2403i	−1.16515	−	0.846533i
$890$	31.7625	+	20.7113i	1.06468	+	0.694246i
$891$	−2.25129	−	0.731487i	−0.0754209	−	0.0245057i
$892$	−4.32247	−	2.20241i	−0.144727	−	0.0737421i
$893$	14.6183	−	14.6183i	0.489184	−	0.489184i
$894$	6.11135			0.204394
$895$	−17.6416	+	19.5194i	−0.589693	+	0.652463i
$896$	2.17931	−	1.58336i	0.0728056	−	0.0528964i
$897$	11.2662	−	1.78438i	0.376166	−	0.0595788i
$898$	−1.03189	−	1.03189i	−0.0344347	−	0.0344347i
$899$	34.0795	+	20.4730i	1.13662	+	0.682813i
$900$	2.51617	−	4.32075i	0.0838724	−	0.144025i
$901$	−24.6267	−	17.8923i	−0.820433	−	0.596080i
$902$	−0.0585040	+	0.369380i	−0.00194797	+	0.0122990i
$903$	−2.18109	−	1.11132i	−0.0725821	−	0.0369824i
$904$		−	10.6154i		−	0.353062i
$905$	14.9340	−	8.58498i	0.496424	−	0.285374i
$906$	3.84916	+	11.8465i	0.127880	+	0.393573i
$907$	−41.0527	+	20.9174i	−1.36313	+	0.694550i	−0.973982	−	0.226624i	$-0.927231\pi$
$907$	−41.0527	+	20.9174i	−1.36313	+	0.694550i	−0.389149	+	0.921175i	$0.627231\pi$
$908$	6.79122	+	13.3285i	0.225375	+	0.442322i
$909$	−1.95110	+	2.68546i	−0.0647140	+	0.0890712i
$910$	1.71977	+	34.0325i	0.0570099	+	1.12817i
$911$	1.40422	−	1.93274i	0.0465239	−	0.0640347i	−0.785121	−	0.619342i	$-0.787399\pi$
$911$	1.40422	−	1.93274i	0.0465239	−	0.0640347i	0.831645	+	0.555307i	$0.187399\pi$
$912$	−1.05068	+	6.63374i	−0.0347915	+	0.219665i
$913$	3.38701	+	6.64739i	0.112094	+	0.219996i
$914$	−0.671766	+	0.488066i	−0.0222200	+	0.0161438i
$915$	14.6173	−	5.57972i	0.483233	−	0.184460i
$916$	−13.1660	−	4.27790i	−0.435018	−	0.141346i
$917$	−31.3716	−	4.96878i	−1.03598	−	0.164084i
$918$	4.67457	−	0.740379i	0.154284	−	0.0244361i
$919$	−48.9460	+	15.9035i	−1.61458	+	0.524609i	−0.970654	−	0.240479i	$-0.922695\pi$
$919$	−48.9460	+	15.9035i	−1.61458	+	0.524609i	−0.643926	+	0.765088i	$0.722695\pi$
$920$	0.479657	−	4.48299i	0.0158138	−	0.147800i
$921$	−26.1918	−	8.51022i	−0.863048	−	0.280421i
$922$	−4.05974	−	7.96768i	−0.133700	−	0.262402i
$923$	−35.8479	+	70.3555i	−1.17995	+	2.31578i
$924$		−	6.37655i		−	0.209773i
$925$	−1.04557	−	3.96130i	−0.0343781	−	0.130247i
$926$	17.1888	−	5.58497i	0.564858	−	0.183534i
$927$	10.2374	+	1.62144i	0.336239	+	0.0532550i
$928$	−1.11701	−	7.05252i	−0.0366676	−	0.231510i
$929$	13.0090			0.426813			0.213406	−	0.976964i	$-0.431544\pi$
$929$	13.0090			0.426813			0.213406	+	0.976964i	$0.431544\pi$
$930$	−10.2111	+	7.12278i	−0.334834	+	0.233565i
$931$	−1.72224			−0.0564443
$932$	1.77801	+	11.2259i	0.0582405	+	0.367716i
$933$	−11.6920	−	1.85182i	−0.382777	−	0.0606260i
$934$	34.8298	−	11.3169i	1.13966	−	0.370300i
$935$	6.52899	−	24.1856i	0.213521	−	0.790952i
$936$			5.65719i			0.184911i
$937$	−15.1976	+	29.8269i	−0.496482	+	0.974402i	0.497767	+	0.867311i	$0.334154\pi$
$937$	−15.1976	+	29.8269i	−0.496482	+	0.974402i	−0.994249	+	0.107091i	$0.965846\pi$
$938$	18.9581	+	37.2073i	0.619003	+	1.21486i
$939$	20.0652	+	6.51959i	0.654804	+	0.212759i
$940$	−4.32142	−	5.35696i	−0.140949	−	0.174725i
$941$	24.2247	−	7.87107i	0.789702	−	0.256590i	0.113725	−	0.993512i	$-0.463722\pi$
$941$	24.2247	−	7.87107i	0.789702	−	0.256590i	0.675977	+	0.736923i	$0.263722\pi$
$942$	4.90483	−	0.776849i	0.159808	−	0.0253111i
$943$	−0.314633	−	0.0498329i	−0.0102458	−	0.00162278i
$944$	−6.25151	−	2.03124i	−0.203469	−	0.0661112i
$945$	5.49812	+	2.46025i	0.178854	+	0.0800318i
$946$	−1.74026	+	1.26437i	−0.0565806	+	0.0411082i
$947$	−3.02301	−	5.93299i	−0.0982347	−	0.192796i	0.836659	−	0.547724i	$-0.184506\pi$
$947$	−3.02301	−	5.93299i	−0.0982347	−	0.192796i	−0.934894	+	0.354927i	$0.884506\pi$
$948$	−1.55182	+	9.79779i	−0.0504007	+	0.318218i
$949$	27.6738	−	38.0897i	0.898328	−	1.23644i
$950$	−28.2325	+	18.1847i	−0.915985	+	0.589990i
$951$	0.629160	−	0.865964i	0.0204019	−	0.0280808i
$952$	5.78801	+	11.3596i	0.187591	+	0.368167i
$953$	4.09666	−	2.08735i	0.132704	−	0.0676159i	−0.386378	−	0.922340i	$-0.626274\pi$
$953$	4.09666	−	2.08735i	0.132704	−	0.0676159i	0.519082	+	0.854725i	$0.326274\pi$
$954$	−1.98751	−	6.11692i	−0.0643480	−	0.198043i
$955$	4.52308	+	7.86814i	0.146363	+	0.254607i
$956$			10.5497i			0.341202i
$957$	−15.0602	−	7.67354i	−0.486826	−	0.248050i
$958$	1.10012	−	6.94589i	0.0355433	−	0.224411i
$959$	−32.8658	−	23.8784i	−1.06129	−	0.771073i
$960$	2.15879	+	0.582774i	0.0696747	+	0.0188089i
$961$	30.5281	−	5.38841i	0.984777	−	0.173820i
$962$	3.27777	+	3.27777i	0.105679	+	0.105679i
$963$	−3.02101	+	0.478480i	−0.0973505	+	0.0154188i
$964$	−11.0160	+	8.00359i	−0.354801	+	0.257778i
$965$	2.87217	+	56.8372i	0.0924585	+	1.82965i
$966$	5.43146			0.174754
$967$	19.5381	−	19.5381i	0.628304	−	0.628304i	−0.319337	−	0.947641i	$-0.603460\pi$
$967$	19.5381	−	19.5381i	0.628304	−	0.628304i	0.947641	+	0.319337i	$0.103460\pi$
$968$	4.80844	+	2.45002i	0.154549	+	0.0787467i
$969$	−30.2319	−	9.82295i	−0.971190	−	0.315559i
$970$	−7.64339	−	36.2928i	−0.245414	−	1.16529i
$971$	−18.7054	−	13.5903i	−0.600286	−	0.436133i	0.245694	−	0.969347i	$-0.420984\pi$
$971$	−18.7054	−	13.5903i	−0.600286	−	0.436133i	−0.845980	+	0.533214i	$0.820984\pi$
$972$	0.891007	+	0.453990i	0.0285790	+	0.0145618i
$973$	4.10493	+	25.9175i	0.131598	+	0.830877i
$974$	12.1806	−	8.84974i	0.390292	−	0.283564i
$975$	−21.0912	+	18.8483i	−0.675459	+	0.603628i
$976$	4.11281	+	5.66079i	0.131648	+	0.181198i
$977$	22.1582	+	3.50951i	0.708902	+	0.112279i	0.500465	−	0.865757i	$-0.333162\pi$
$977$	22.1582	+	3.50951i	0.708902	+	0.112279i	0.208437	+	0.978036i	$0.433162\pi$
$978$	15.3030	−	7.79725i	0.489335	−	0.249329i
$979$	23.5945	+	32.4750i	0.754082	+	1.03791i
$980$	−0.0610004	+	0.570125i	−0.00194859	+	0.0182120i
$981$	2.47239	+	7.60924i	0.0789374	+	0.242944i
$982$	22.1272	−	3.50460i	0.706106	−	0.111836i
$983$	2.12936	−	1.08496i	0.0679161	−	0.0346050i	−0.419703	−	0.907662i	$-0.637866\pi$
$983$	2.12936	−	1.08496i	0.0679161	−	0.0346050i	0.487619	+	0.873057i	$0.337866\pi$
$984$	0.0488215	−	0.150257i	0.00155637	−	0.00479002i
$985$	2.09954	+	41.5477i	0.0668970	+	1.32382i
$986$	33.7945			1.07624
$987$	5.86301	−	5.86301i	0.186622	−	0.186622i
$988$	17.2499	−	33.8548i	0.548792	−	1.07706i
$989$	−1.07697	−	1.48233i	−0.0342458	−	0.0471352i
$990$	4.11972	−	3.32335i	0.130933	−	0.105623i
$991$			45.3366i			1.44016i	0.693889	+	0.720082i	$0.255896\pi$
$991$			45.3366i			1.44016i	−0.693889	+	0.720082i	$0.744104\pi$
$992$	−4.26547	−	3.57852i	−0.135429	−	0.113618i
$993$	−4.09100	+	4.09100i	−0.129824	+	0.129824i
$994$	−22.1002	+	30.4183i	−0.700975	+	0.964810i
$995$	−27.6432	−	12.3695i	−0.876349	−	0.392141i
$996$	−0.973931	−	2.99745i	−0.0308602	−	0.0949779i
$997$	13.1799	+	13.1799i	0.417410	+	0.417410i	0.884310	−	0.466900i	$-0.154629\pi$
$997$	13.1799	+	13.1799i	0.417410	+	0.417410i	−0.466900	+	0.884310i	$0.654629\pi$
$998$	−9.42188	−	9.42188i	−0.298244	−	0.298244i
$999$	0.779288	−	0.253206i	0.0246556	−	0.00801109i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.a.277.14	✓	128
5.3	odd	4		930.2.bj.b.463.14	yes	128
31.15	odd	10		930.2.bj.b.697.14	yes	128
155.108	even	20	inner	930.2.bj.a.883.14	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.277.14	✓	128	1.1	even	1	trivial
930.2.bj.a.883.14	yes	128	155.108	even	20	inner
930.2.bj.b.463.14	yes	128	5.3	odd	4
930.2.bj.b.697.14	yes	128	31.15	odd	10

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(1.11441 + 1.93858i) q^{5} -1.00000i q^{6} +(-1.22295 + 2.40017i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(1.11441 + 1.93858i) q^{5} -1.00000i q^{6} +(-1.22295 + 2.40017i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-1.74038 + 1.40395i) q^{10} +(-2.25129 + 0.731487i) q^{11} +(0.987688 - 0.156434i) q^{12} +(-5.58754 - 0.884980i) q^{13} +(-2.56193 - 0.832422i) q^{14} +(-0.797431 - 2.08904i) q^{15} +(0.809017 - 0.587785i) q^{16} +(2.14866 + 4.21699i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(3.94782 - 5.43370i) q^{19} +(-1.65892 - 1.49933i) q^{20} +(1.58336 - 2.17931i) q^{21} +(-1.07466 - 2.10914i) q^{22} +(1.79654 - 0.915381i) q^{23} +(0.309017 + 0.951057i) q^{24} +(-2.51617 + 4.32075i) q^{25} -5.65719i q^{26} +(-0.891007 - 0.453990i) q^{27} +(0.421399 - 2.66061i) q^{28} +(-5.77673 - 4.19704i) q^{29} +(1.93858 - 1.11441i) q^{30} +(-5.54654 + 0.485746i) q^{31} +(0.707107 + 0.707107i) q^{32} +(2.33800 - 0.370303i) q^{33} +(-3.82894 + 2.78189i) q^{34} +(-6.01579 + 0.303998i) q^{35} -1.00000 q^{36} +(-0.579398 + 0.579398i) q^{37} +(5.98438 + 3.04919i) q^{38} +(5.38031 + 1.74817i) q^{39} +(1.22135 - 1.87304i) q^{40} +(-0.127816 - 0.0928641i) q^{41} +(2.40017 + 1.22295i) q^{42} +(-0.142156 - 0.897535i) q^{43} +(1.91506 - 1.39137i) q^{44} +(0.460815 + 2.18807i) q^{45} +(1.18515 + 1.63122i) q^{46} +(3.04015 + 0.481512i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(-0.150722 - 0.207450i) q^{49} +(-4.66117 - 1.80928i) q^{50} +(-1.46253 - 4.50119i) q^{51} +(5.58754 - 0.884980i) q^{52} +(-5.73070 + 2.91994i) q^{53} +(0.309017 - 0.951057i) q^{54} +(-3.92691 - 3.54912i) q^{55} +2.69377 q^{56} +(-4.74923 + 4.74923i) q^{57} +(3.24169 - 6.36217i) q^{58} +(-3.86364 - 5.31785i) q^{59} +(1.40395 + 1.74038i) q^{60} +6.99712i q^{61} +(-1.34743 - 5.40226i) q^{62} +(-1.90479 + 1.90479i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-4.51122 - 11.8181i) q^{65} +(0.731487 + 2.25129i) q^{66} +(-10.9615 - 10.9615i) q^{67} +(-3.34662 - 3.34662i) q^{68} +(-1.91761 + 0.623071i) q^{69} +(-1.24133 - 5.89417i) q^{70} +(4.31319 - 13.2746i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(-3.77829 + 7.41531i) q^{73} +(-0.662902 - 0.481627i) q^{74} +(3.16111 - 3.87394i) q^{75} +(-2.07549 + 6.38770i) q^{76} +(0.997512 - 6.29804i) q^{77} +(-0.884980 + 5.58754i) q^{78} +(-3.06543 + 9.43441i) q^{79} +(2.04105 + 0.913308i) q^{80} +(0.809017 + 0.587785i) q^{81} +(0.0717259 - 0.140770i) q^{82} +(-0.493035 - 3.11290i) q^{83} +(-0.832422 + 2.56193i) q^{84} +(-5.78047 + 8.86481i) q^{85} +(0.864246 - 0.280811i) q^{86} +(5.04905 + 5.04905i) q^{87} +(1.67382 + 1.67382i) q^{88} +(-5.24022 - 16.1277i) q^{89} +(-2.08904 + 0.797431i) q^{90} +(8.95738 - 12.3288i) q^{91} +(-1.42574 + 1.42574i) q^{92} +(5.55424 + 0.387904i) q^{93} +3.07804i q^{94} +(14.9332 + 1.59777i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-7.53020 + 14.7788i) q^{97} +(0.181318 - 0.181318i) q^{98} -2.36714 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 16 q^{7}+O(q^{10}) \) 128 * q - 16 * q^7	\( 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) \) 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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