LMFDB - Embedded newform 798.2.bp.e.613.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(289,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 6, 2]))

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

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

chi := DirichletCharacter("798.289");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.bp (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$42$
Relative dimension:	$7$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			613.4
Character	$\chi$	$=$	798.613
Dual form			798.2.bp.e.289.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766044 - 0.642788i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.125040 - 0.709139i) q^{5} +(0.173648 + 0.984808i) q^{6} +(2.10990 - 1.59635i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})$	\(q+(-0.766044 - 0.642788i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.125040 - 0.709139i) q^{5} +(0.173648 + 0.984808i) q^{6} +(2.10990 - 1.59635i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-0.551612 + 0.462858i) q^{10} +(1.18839 + 2.05835i) q^{11} +(0.500000 - 0.866025i) q^{12} +(-0.709172 - 4.02191i) q^{13} +(-2.64239 - 0.133339i) q^{14} +(-0.551612 + 0.462858i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.388176 + 2.20146i) q^{17} +(0.500000 - 0.866025i) q^{18} +(-0.679990 - 4.30553i) q^{19} +0.720079 q^{20} +(-2.64239 - 0.133339i) q^{21} +(0.412723 - 2.34067i) q^{22} +(8.29064 + 3.01755i) q^{23} +(-0.939693 + 0.342020i) q^{24} +(4.21122 + 1.53276i) q^{25} +(-2.04198 + 3.53681i) q^{26} +(0.500000 - 0.866025i) q^{27} +(1.93848 + 1.80064i) q^{28} +(2.89532 + 1.05381i) q^{29} +0.720079 q^{30} -4.24992 q^{31} +(0.939693 + 0.342020i) q^{32} +(0.412723 - 2.34067i) q^{33} +(1.71243 - 1.43690i) q^{34} +(-0.868213 - 1.69582i) q^{35} +(-0.939693 + 0.342020i) q^{36} +(-3.16206 - 5.47685i) q^{37} +(-2.24664 + 3.73532i) q^{38} +(-2.04198 + 3.53681i) q^{39} +(-0.551612 - 0.462858i) q^{40} +(0.831073 - 4.71325i) q^{41} +(1.93848 + 1.80064i) q^{42} +(-7.42288 - 6.22853i) q^{43} +(-1.82072 + 1.52776i) q^{44} +0.720079 q^{45} +(-4.41136 - 7.64070i) q^{46} +(-0.951012 - 5.39345i) q^{47} +(0.939693 + 0.342020i) q^{48} +(1.90333 - 6.73627i) q^{49} +(-2.24074 - 3.88108i) q^{50} +(1.71243 - 1.43690i) q^{51} +(3.83767 - 1.39680i) q^{52} +(-0.380885 - 2.16011i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(1.60825 - 0.585356i) q^{55} +(-0.327532 - 2.62540i) q^{56} +(-2.24664 + 3.73532i) q^{57} +(-1.54057 - 2.66834i) q^{58} +(-1.08285 + 6.14115i) q^{59} +(-0.551612 - 0.462858i) q^{60} +(-3.61815 - 1.31690i) q^{61} +(3.25563 + 2.73180i) q^{62} +(1.93848 + 1.80064i) q^{63} +(-0.500000 - 0.866025i) q^{64} -2.94077 q^{65} +(-1.82072 + 1.52776i) q^{66} +(8.02059 - 6.73007i) q^{67} -2.23542 q^{68} +(-4.41136 - 7.64070i) q^{69} +(-0.424961 + 1.85715i) q^{70} +(-7.38102 - 6.19341i) q^{71} +(0.939693 + 0.342020i) q^{72} +(7.77648 + 6.52524i) q^{73} +(-1.09817 + 6.22804i) q^{74} +(-2.24074 - 3.88108i) q^{75} +(4.12204 - 1.41731i) q^{76} +(5.79323 + 2.44582i) q^{77} +(3.83767 - 1.39680i) q^{78} +(-7.07743 + 2.57597i) q^{79} +(0.125040 + 0.709139i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(-3.66626 + 3.07635i) q^{82} +(-4.81925 - 8.34718i) q^{83} +(-0.327532 - 2.62540i) q^{84} +(1.51260 + 0.550542i) q^{85} +(1.68263 + 9.54267i) q^{86} +(-1.54057 - 2.66834i) q^{87} +2.37678 q^{88} +(2.64368 - 2.21831i) q^{89} +(-0.551612 - 0.462858i) q^{90} +(-7.91667 - 7.35373i) q^{91} +(-1.53205 + 8.68868i) q^{92} +(3.25563 + 2.73180i) q^{93} +(-2.73833 + 4.74292i) q^{94} +(-3.13825 - 0.0561576i) q^{95} +(-0.500000 - 0.866025i) q^{96} +(13.2297 - 4.81521i) q^{97} +(-5.78802 + 3.93685i) q^{98} +(-1.82072 + 1.52776i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 42 q - 6 q^{5} + 6 q^{7} + 21 q^{8}+O(q^{10}) $ 42 * q - 6 * q^5 + 6 * q^7 + 21 * q^8	$ 42 q - 6 q^{5} + 6 q^{7} + 21 q^{8} - 3 q^{10} - 9 q^{11} + 21 q^{12} + 3 q^{14} - 3 q^{15} - 6 q^{17} + 21 q^{18} + 18 q^{20} + 3 q^{21} + 3 q^{22} + 3 q^{23} + 18 q^{25} - 3 q^{26} + 21 q^{27} + 6 q^{28} + 15 q^{29} + 18 q^{30} - 6 q^{31} + 3 q^{33} - 3 q^{34} - 12 q^{35} + 21 q^{37} + 15 q^{38} - 3 q^{39} - 3 q^{40} + 9 q^{41} + 6 q^{42} - 12 q^{44} + 18 q^{45} + 12 q^{46} + 15 q^{47} + 30 q^{50} - 3 q^{51} + 9 q^{52} - 36 q^{53} - 27 q^{55} - 6 q^{56} + 15 q^{57} - 18 q^{58} - 3 q^{60} - 9 q^{61} - 6 q^{62} + 6 q^{63} - 21 q^{64} - 24 q^{65} - 12 q^{66} - 3 q^{67} + 12 q^{68} + 12 q^{69} - 24 q^{70} - 6 q^{71} - 15 q^{73} + 12 q^{74} + 30 q^{75} - 6 q^{76} + 21 q^{77} + 9 q^{78} + 21 q^{79} - 6 q^{80} - 18 q^{83} - 6 q^{84} - 30 q^{85} + 9 q^{86} - 18 q^{87} - 18 q^{88} + 12 q^{89} - 3 q^{90} - 18 q^{91} - 24 q^{92} - 6 q^{93} + 24 q^{94} - 27 q^{95} - 21 q^{96} - 3 q^{97} + 24 q^{98} - 12 q^{99}+O(q^{100}) $ 42 * q - 6 * q^5 + 6 * q^7 + 21 * q^8 - 3 * q^10 - 9 * q^11 + 21 * q^12 + 3 * q^14 - 3 * q^15 - 6 * q^17 + 21 * q^18 + 18 * q^20 + 3 * q^21 + 3 * q^22 + 3 * q^23 + 18 * q^25 - 3 * q^26 + 21 * q^27 + 6 * q^28 + 15 * q^29 + 18 * q^30 - 6 * q^31 + 3 * q^33 - 3 * q^34 - 12 * q^35 + 21 * q^37 + 15 * q^38 - 3 * q^39 - 3 * q^40 + 9 * q^41 + 6 * q^42 - 12 * q^44 + 18 * q^45 + 12 * q^46 + 15 * q^47 + 30 * q^50 - 3 * q^51 + 9 * q^52 - 36 * q^53 - 27 * q^55 - 6 * q^56 + 15 * q^57 - 18 * q^58 - 3 * q^60 - 9 * q^61 - 6 * q^62 + 6 * q^63 - 21 * q^64 - 24 * q^65 - 12 * q^66 - 3 * q^67 + 12 * q^68 + 12 * q^69 - 24 * q^70 - 6 * q^71 - 15 * q^73 + 12 * q^74 + 30 * q^75 - 6 * q^76 + 21 * q^77 + 9 * q^78 + 21 * q^79 - 6 * q^80 - 18 * q^83 - 6 * q^84 - 30 * q^85 + 9 * q^86 - 18 * q^87 - 18 * q^88 + 12 * q^89 - 3 * q^90 - 18 * q^91 - 24 * q^92 - 6 * q^93 + 24 * q^94 - 27 * q^95 - 21 * q^96 - 3 * q^97 + 24 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{8}{9}\right)$	$1$

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 $

$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$3$	−0.766044	−	0.642788i	−0.442276	−	0.371114i
$3$	−0.766044	−	0.642788i	−0.442276	−	0.371114i
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	0.125040	−	0.709139i	0.0559197	−	0.317137i	−0.943998	−	0.329951i	$-0.892968\pi$
$5$	0.125040	−	0.709139i	0.0559197	−	0.317137i	0.999918	+	0.0128141i	$0.00407897\pi$
$6$	0.173648	+	0.984808i	0.0708916	+	0.402046i
$7$	2.10990	−	1.59635i	0.797466	−	0.603364i
$7$	2.10990	−	1.59635i	0.797466	−	0.603364i
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	0.173648	+	0.984808i	0.0578827	+	0.328269i
$10$	−0.551612	+	0.462858i	−0.174435	+	0.146368i
$11$	1.18839	+	2.05835i	0.358313	+	0.620616i	0.987679	−	0.156493i	$-0.0500188\pi$
$11$	1.18839	+	2.05835i	0.358313	+	0.620616i	−0.629366	+	0.777109i	$0.716685\pi$
$12$	0.500000	−	0.866025i	0.144338	−	0.250000i
$13$	−0.709172	−	4.02191i	−0.196689	−	1.11548i	−0.909993	−	0.414624i	$-0.863913\pi$
$13$	−0.709172	−	4.02191i	−0.196689	−	1.11548i	0.713304	−	0.700855i	$-0.247198\pi$
$14$	−2.64239	−	0.133339i	−0.706208	−	0.0356364i
$15$	−0.551612	+	0.462858i	−0.142426	+	0.119509i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−0.388176	+	2.20146i	−0.0941466	+	0.533932i	0.900859	+	0.434112i	$0.142938\pi$
$17$	−0.388176	+	2.20146i	−0.0941466	+	0.533932i	−0.995006	+	0.0998198i	$0.968173\pi$
$18$	0.500000	−	0.866025i	0.117851	−	0.204124i
$19$	−0.679990	−	4.30553i	−0.156000	−	0.987757i
$19$	−0.679990	−	4.30553i	−0.156000	−	0.987757i
$20$	0.720079			0.161014
$21$	−2.64239	−	0.133339i	−0.576617	−	0.0290970i
$22$	0.412723	−	2.34067i	0.0879929	−	0.499032i
$23$	8.29064	+	3.01755i	1.72872	+	0.629202i	0.998538	−	0.0540522i	$-0.0172137\pi$
$23$	8.29064	+	3.01755i	1.72872	+	0.629202i	0.730180	+	0.683254i	$0.239436\pi$
$24$	−0.939693	+	0.342020i	−0.191814	+	0.0698146i
$25$	4.21122	+	1.53276i	0.842244	+	0.306552i
$26$	−2.04198	+	3.53681i	−0.400465	+	0.693626i
$27$	0.500000	−	0.866025i	0.0962250	−	0.166667i
$28$	1.93848	+	1.80064i	0.366338	+	0.340289i
$29$	2.89532	+	1.05381i	0.537648	+	0.195688i	0.596550	−	0.802576i	$-0.296538\pi$
$29$	2.89532	+	1.05381i	0.537648	+	0.195688i	−0.0589022	+	0.998264i	$0.518760\pi$
$30$	0.720079			0.131468
$31$	−4.24992			−0.763309			−0.381654	−	0.924305i	$-0.624646\pi$
$31$	−4.24992			−0.763309			−0.381654	+	0.924305i	$0.624646\pi$
$32$	0.939693	+	0.342020i	0.166116	+	0.0604612i
$33$	0.412723	−	2.34067i	0.0718459	−	0.407458i
$34$	1.71243	−	1.43690i	0.293679	−	0.246426i
$35$	−0.868213	−	1.69582i	−0.146755	−	0.286646i
$36$	−0.939693	+	0.342020i	−0.156615	+	0.0570034i
$37$	−3.16206	−	5.47685i	−0.519839	−	0.900388i	−0.999734	−	0.0230618i	$-0.992659\pi$
$37$	−3.16206	−	5.47685i	−0.519839	−	0.900388i	0.479895	−	0.877326i	$-0.340675\pi$
$38$	−2.24664	+	3.73532i	−0.364453	+	0.605949i
$39$	−2.04198	+	3.53681i	−0.326978	+	0.566343i
$40$	−0.551612	−	0.462858i	−0.0872176	−	0.0731842i
$41$	0.831073	−	4.71325i	0.129792	−	0.736086i	−0.848554	−	0.529109i	$-0.822526\pi$
$41$	0.831073	−	4.71325i	0.129792	−	0.736086i	0.978346	−	0.206977i	$-0.0663625\pi$
$42$	1.93848	+	1.80064i	0.299114	+	0.277845i
$43$	−7.42288	−	6.22853i	−1.13198	−	0.949842i	−0.132831	−	0.991139i	$-0.542407\pi$
$43$	−7.42288	−	6.22853i	−1.13198	−	0.949842i	−0.999147	+	0.0412962i	$0.986851\pi$
$44$	−1.82072	+	1.52776i	−0.274483	+	0.230319i
$45$	0.720079			0.107343
$46$	−4.41136	−	7.64070i	−0.650419	−	1.12656i
$47$	−0.951012	−	5.39345i	−0.138719	−	0.786716i	−0.972197	−	0.234163i	$-0.924765\pi$
$47$	−0.951012	−	5.39345i	−0.138719	−	0.786716i	0.833478	−	0.552553i	$-0.186346\pi$
$48$	0.939693	+	0.342020i	0.135633	+	0.0493664i
$49$	1.90333	−	6.73627i	0.271904	−	0.962324i
$50$	−2.24074	−	3.88108i	−0.316889	−	0.548868i
$51$	1.71243	−	1.43690i	0.239788	−	0.201206i
$52$	3.83767	−	1.39680i	0.532188	−	0.193701i
$53$	−0.380885	−	2.16011i	−0.0523186	−	0.296713i	0.947410	−	0.320023i	$-0.103691\pi$
$53$	−0.380885	−	2.16011i	−0.0523186	−	0.296713i	−0.999728	+	0.0233098i	$0.992580\pi$
$54$	−0.939693	+	0.342020i	−0.127876	+	0.0465430i
$55$	1.60825	−	0.585356i	0.216857	−	0.0789294i
$56$	−0.327532	−	2.62540i	−0.0437684	−	0.350834i
$57$	−2.24664	+	3.73532i	−0.297575	+	0.494755i
$58$	−1.54057	−	2.66834i	−0.202287	−	0.350371i
$59$	−1.08285	+	6.14115i	−0.140975	+	0.799510i	0.829536	+	0.558453i	$0.188605\pi$
$59$	−1.08285	+	6.14115i	−0.140975	+	0.799510i	−0.970511	+	0.241056i	$0.922506\pi$
$60$	−0.551612	−	0.462858i	−0.0712128	−	0.0597547i
$61$	−3.61815	−	1.31690i	−0.463257	−	0.168612i	0.0998384	−	0.995004i	$-0.468167\pi$
$61$	−3.61815	−	1.31690i	−0.463257	−	0.168612i	−0.563095	+	0.826392i	$0.690390\pi$
$62$	3.25563	+	2.73180i	0.413465	+	0.346939i
$63$	1.93848	+	1.80064i	0.244225	+	0.226859i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−2.94077			−0.364758
$66$	−1.82072	+	1.52776i	−0.224115	+	0.188055i
$67$	8.02059	−	6.73007i	0.979871	−	0.822209i	−0.00419897	−	0.999991i	$-0.501337\pi$
$67$	8.02059	−	6.73007i	0.979871	−	0.822209i	0.984070	+	0.177782i	$0.0568921\pi$
$68$	−2.23542			−0.271084
$69$	−4.41136	−	7.64070i	−0.531065	−	0.919832i
$70$	−0.424961	+	1.85715i	−0.0507926	+	0.221972i
$71$	−7.38102	−	6.19341i	−0.875966	−	0.735023i	0.0893793	−	0.995998i	$-0.471512\pi$
$71$	−7.38102	−	6.19341i	−0.875966	−	0.735023i	−0.965346	+	0.260975i	$0.915956\pi$
$72$	0.939693	+	0.342020i	0.110744	+	0.0403075i
$73$	7.77648	+	6.52524i	0.910168	+	0.763722i	0.972151	−	0.234355i	$-0.0752979\pi$
$73$	7.77648	+	6.52524i	0.910168	+	0.763722i	−0.0619826	+	0.998077i	$0.519742\pi$
$74$	−1.09817	+	6.22804i	−0.127660	+	0.723995i
$75$	−2.24074	−	3.88108i	−0.258739	−	0.448149i
$76$	4.12204	−	1.41731i	0.472831	−	0.162576i
$77$	5.79323	+	2.44582i	0.660199	+	0.278727i
$78$	3.83767	−	1.39680i	0.434530	−	0.158156i
$79$	−7.07743	+	2.57597i	−0.796273	+	0.289820i	−0.707941	−	0.706271i	$-0.750376\pi$
$79$	−7.07743	+	2.57597i	−0.796273	+	0.289820i	−0.0883319	+	0.996091i	$0.528154\pi$
$80$	0.125040	+	0.709139i	0.0139799	+	0.0792842i
$81$	−0.939693	+	0.342020i	−0.104410	+	0.0380022i
$82$	−3.66626	+	3.07635i	−0.404870	+	0.339726i
$83$	−4.81925	−	8.34718i	−0.528981	−	0.916222i	−0.999429	−	0.0337943i	$-0.989241\pi$
$83$	−4.81925	−	8.34718i	−0.528981	−	0.916222i	0.470448	−	0.882428i	$-0.344092\pi$
$84$	−0.327532	−	2.62540i	−0.0357367	−	0.286455i
$85$	1.51260	+	0.550542i	0.164065	+	0.0597147i
$86$	1.68263	+	9.54267i	0.181443	+	1.02901i
$87$	−1.54057	−	2.66834i	−0.165166	−	0.286076i
$88$	2.37678			0.253365
$89$	2.64368	−	2.21831i	0.280229	−	0.235140i	−0.491829	−	0.870692i	$-0.663672\pi$
$89$	2.64368	−	2.21831i	0.280229	−	0.235140i	0.772059	+	0.635551i	$0.219227\pi$
$90$	−0.551612	−	0.462858i	−0.0581450	−	0.0487895i
$91$	−7.91667	−	7.35373i	−0.829892	−	0.770881i
$92$	−1.53205	+	8.68868i	−0.159727	+	0.905858i
$93$	3.25563	+	2.73180i	0.337593	+	0.283274i
$94$	−2.73833	+	4.74292i	−0.282437	+	0.489195i
$95$	−3.13825	−	0.0561576i	−0.321977	−	0.00576165i
$96$	−0.500000	−	0.866025i	−0.0510310	−	0.0883883i
$97$	13.2297	−	4.81521i	1.34327	−	0.488911i	0.432430	−	0.901668i	$-0.357656\pi$
$97$	13.2297	−	4.81521i	1.34327	−	0.488911i	0.910841	+	0.412757i	$0.135434\pi$
$98$	−5.78802	+	3.93685i	−0.584679	+	0.397682i
$99$	−1.82072	+	1.52776i	−0.182989	+	0.153546i
$100$	−0.778202	+	4.41340i	−0.0778202	+	0.441340i
$101$	−7.47543	−	2.72083i	−0.743833	−	0.270733i	−0.0578247	−	0.998327i	$-0.518416\pi$
$101$	−7.47543	−	2.72083i	−0.743833	−	0.270733i	−0.686008	+	0.727594i	$0.740639\pi$
$102$	−2.23542			−0.221339
$103$	−10.7631			−1.06052			−0.530260	−	0.847835i	$-0.677906\pi$
$103$	−10.7631			−1.06052			−0.530260	+	0.847835i	$0.677906\pi$
$104$	−3.83767	−	1.39680i	−0.376314	−	0.136967i
$105$	−0.424961	+	1.85715i	−0.0414720	+	0.181239i
$106$	−1.09671	+	1.89957i	−0.106522	+	0.184502i
$107$	−2.68659	+	4.65330i	−0.259722	+	0.449852i	−0.966167	−	0.257916i	$-0.916964\pi$
$107$	−2.68659	+	4.65330i	−0.259722	+	0.449852i	0.706445	+	0.707768i	$0.250298\pi$
$108$	0.939693	+	0.342020i	0.0904220	+	0.0329109i
$109$	7.49132	−	2.72662i	0.717538	−	0.261162i	0.0426577	−	0.999090i	$-0.486418\pi$
$109$	7.49132	−	2.72662i	0.717538	−	0.261162i	0.674880	+	0.737927i	$0.264195\pi$
$110$	−1.60825	−	0.585356i	−0.153341	−	0.0558115i
$111$	−1.09817	+	6.22804i	−0.104234	+	0.591139i
$112$	−1.43667	+	2.22171i	−0.135753	+	0.209932i
$113$	8.98105			0.844867			0.422433	−	0.906394i	$-0.361176\pi$
$113$	8.98105			0.844867			0.422433	+	0.906394i	$0.361176\pi$
$114$	4.12204	−	1.41731i	0.386065	−	0.132743i
$115$	3.17653	−	5.50190i	0.296213	−	0.513055i
$116$	−0.535034	+	3.03433i	−0.0496766	+	0.281730i
$117$	3.83767	−	1.39680i	0.354792	−	0.129134i
$118$	4.77697	−	4.00835i	0.439756	−	0.368999i
$119$	2.69529	+	5.26451i	0.247077	+	0.482597i
$120$	0.125040	+	0.709139i	0.0114146	+	0.0647352i
$121$	2.67546	−	4.63404i	0.243224	−	0.421276i
$122$	1.92518	+	3.33451i	0.174298	+	0.301892i
$123$	−3.66626	+	3.07635i	−0.330575	+	0.277385i
$124$	−0.737991	−	4.18536i	−0.0662736	−	0.375856i
$125$	3.41371	−	5.91272i	0.305331	−	0.528849i
$126$	−0.327532	−	2.62540i	−0.0291789	−	0.233889i
$127$	2.25553	+	12.7918i	0.200146	+	1.13509i	0.904897	+	0.425630i	$0.139948\pi$
$127$	2.25553	+	12.7918i	0.200146	+	1.13509i	−0.704751	+	0.709455i	$0.748941\pi$
$128$	−0.173648	+	0.984808i	−0.0153485	+	0.0870455i
$129$	1.68263	+	9.54267i	0.148147	+	0.840185i
$130$	2.25276	+	1.89029i	0.197580	+	0.165790i
$131$	1.53750	+	1.29012i	0.134332	+	0.112718i	0.707478	−	0.706735i	$-0.249833\pi$
$131$	1.53750	+	1.29012i	0.134332	+	0.112718i	−0.573146	+	0.819453i	$0.694277\pi$
$132$	2.37678			0.206872
$133$	−8.30785	−	7.99872i	−0.720382	−	0.693577i
$134$	−10.4701			−0.904482
$135$	−0.551612	−	0.462858i	−0.0474752	−	0.0398364i
$136$	1.71243	+	1.43690i	0.146840	+	0.123213i
$137$	3.38651	+	19.2058i	0.289329	+	1.64086i	0.689400	+	0.724381i	$0.257874\pi$
$137$	3.38651	+	19.2058i	0.289329	+	1.64086i	−0.400072	+	0.916484i	$0.631015\pi$
$138$	−1.53205	+	8.68868i	−0.130417	+	0.739630i
$139$	1.74903	+	9.91922i	0.148350	+	0.841337i	0.964616	+	0.263660i	$0.0849296\pi$
$139$	1.74903	+	9.91922i	0.148350	+	0.841337i	−0.816265	+	0.577677i	$0.803959\pi$
$140$	1.51929	−	1.14950i	0.128404	−	0.0971504i
$141$	−2.73833	+	4.74292i	−0.230609	+	0.399426i
$142$	1.67314	+	9.48886i	0.140407	+	0.796288i
$143$	7.43573	−	6.23932i	0.621807	−	0.521758i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	1.10933	−	1.92142i	0.0921249	−	0.159565i
$146$	−1.76279	−	9.99725i	−0.145889	−	0.827379i
$147$	−5.78802	+	3.93685i	−0.477388	+	0.324706i
$148$	4.84455	−	4.06506i	0.398220	−	0.334146i
$149$	−13.9289	+	5.06970i	−1.14110	+	0.415326i	−0.842310	−	0.538993i	$-0.818805\pi$
$149$	−13.9289	+	5.06970i	−1.14110	+	0.415326i	−0.298789	+	0.954319i	$0.596583\pi$
$150$	−0.778202	+	4.41340i	−0.0635399	+	0.360353i
$151$	−1.74690	+	3.02572i	−0.142161	+	0.246229i	−0.928310	−	0.371807i	$-0.878738\pi$
$151$	−1.74690	+	3.02572i	−0.142161	+	0.246229i	0.786149	+	0.618036i	$0.212072\pi$
$152$	−4.06870	−	1.56388i	−0.330015	−	0.126847i
$153$	−2.23542			−0.180723
$154$	−2.86573	−	5.59742i	−0.230927	−	0.451053i
$155$	−0.531412	+	3.01379i	−0.0426840	+	0.242073i
$156$	−3.83767	−	1.39680i	−0.307259	−	0.111833i
$157$	3.31093	−	1.20508i	0.264241	−	0.0961759i	−0.206502	−	0.978446i	$-0.566208\pi$
$157$	3.31093	−	1.20508i	0.264241	−	0.0961759i	0.470743	+	0.882270i	$0.343986\pi$
$158$	7.07743	+	2.57597i	0.563050	+	0.204933i
$159$	−1.09671	+	1.89957i	−0.0869751	+	0.150645i
$160$	0.360039	−	0.623606i	0.0284636	−	0.0493004i
$161$	22.3095	−	6.86807i	1.75823	−	0.541279i
$162$	0.939693	+	0.342020i	0.0738292	+	0.0268716i
$163$	19.1994			1.50381			0.751907	−	0.659270i	$-0.229134\pi$
$163$	19.1994			1.50381			0.751907	+	0.659270i	$0.229134\pi$
$164$	4.78596			0.373720
$165$	−1.60825	−	0.585356i	−0.125202	−	0.0455699i
$166$	−1.67371	+	9.49206i	−0.129905	+	0.736727i
$167$	−3.80159	+	3.18992i	−0.294176	+	0.246843i	−0.777915	−	0.628369i	$-0.783723\pi$
$167$	−3.80159	+	3.18992i	−0.294176	+	0.246843i	0.483739	+	0.875212i	$0.339278\pi$
$168$	−1.43667	+	2.22171i	−0.110841	+	0.171408i
$169$	−3.45686	+	1.25820i	−0.265913	+	0.0967843i
$170$	−0.804838	−	1.39402i	−0.0617283	−	0.106917i
$171$	4.12204	−	1.41731i	0.315221	−	0.108384i
$172$	4.84494	−	8.39168i	0.369423	−	0.639860i
$173$	10.4909	+	8.80292i	0.797609	+	0.669274i	0.947616	−	0.319411i	$-0.103485\pi$
$173$	10.4909	+	8.80292i	0.797609	+	0.669274i	−0.150007	+	0.988685i	$0.547930\pi$
$174$	−0.535034	+	3.03433i	−0.0405608	+	0.230032i
$175$	11.3321	−	3.48862i	0.856623	−	0.263715i
$176$	−1.82072	−	1.52776i	−0.137242	−	0.115159i
$177$	4.77697	−	4.00835i	0.359059	−	0.301286i
$178$	−3.45107			−0.258669
$179$	3.38637	+	5.86537i	0.253109	+	0.438398i	0.964380	−	0.264520i	$-0.0852134\pi$
$179$	3.38637	+	5.86537i	0.253109	+	0.438398i	−0.711271	+	0.702918i	$0.751880\pi$
$180$	0.125040	+	0.709139i	0.00931996	+	0.0528561i
$181$	19.1715	+	6.97786i	1.42501	+	0.518660i	0.935496	−	0.353337i	$-0.114953\pi$
$181$	19.1715	+	6.97786i	1.42501	+	0.518660i	0.489511	+	0.871997i	$0.337175\pi$
$182$	1.33763	+	10.7220i	0.0991517	+	0.794769i
$183$	1.92518	+	3.33451i	0.142313	+	0.246494i
$184$	6.75859	−	5.67113i	0.498250	−	0.418082i
$185$	−4.27923	+	1.55751i	−0.314615	+	0.114511i
$186$	−0.737991	−	4.18536i	−0.0541122	−	0.306885i
$187$	−4.99267	+	1.81718i	−0.365100	+	0.132886i
$188$	5.14637	−	1.87313i	0.375338	−	0.136612i
$189$	−0.327532	−	2.62540i	−0.0238245	−	0.190970i
$190$	2.36794	+	2.06025i	0.171788	+	0.149466i
$191$	−12.7851	−	22.1445i	−0.925099	−	1.60232i	−0.791402	−	0.611296i	$-0.790648\pi$
$191$	−12.7851	−	22.1445i	−0.925099	−	1.60232i	−0.133697	−	0.991022i	$-0.542685\pi$
$192$	−0.173648	+	0.984808i	−0.0125320	+	0.0710724i
$193$	7.48846	+	6.28356i	0.539031	+	0.452301i	0.871206	−	0.490917i	$-0.163338\pi$
$193$	7.48846	+	6.28356i	0.539031	+	0.452301i	−0.332175	+	0.943218i	$0.607783\pi$
$194$	−13.2297	−	4.81521i	−0.949836	−	0.345712i
$195$	2.25276	+	1.89029i	0.161324	+	0.135367i
$196$	6.96444	+	0.704669i	0.497460	+	0.0503335i
$197$	9.12422	+	15.8036i	0.650074	+	1.12596i	0.983105	+	0.183045i	$0.0585954\pi$
$197$	9.12422	+	15.8036i	0.650074	+	1.12596i	−0.333031	+	0.942916i	$0.608071\pi$
$198$	2.37678			0.168910
$199$	−7.58241	+	6.36240i	−0.537503	+	0.451018i	−0.870683	−	0.491845i	$-0.836323\pi$
$199$	−7.58241	+	6.36240i	−0.537503	+	0.451018i	0.333180	+	0.942863i	$0.391878\pi$
$200$	3.43302	−	2.88064i	0.242751	−	0.203692i
$201$	−10.4701			−0.738506
$202$	3.97759	+	6.88939i	0.279862	+	0.484736i
$203$	7.79108	−	2.39852i	0.546827	−	0.168343i
$204$	1.71243	+	1.43690i	0.119894	+	0.100603i
$205$	−3.23843	−	1.17869i	−0.226182	−	0.0823234i
$206$	8.24501	+	6.91839i	0.574457	+	0.482027i
$207$	−1.53205	+	8.68868i	−0.106485	+	0.603905i
$208$	2.04198	+	3.53681i	0.141586	+	0.245234i
$209$	8.05420	−	6.51631i	0.557121	−	0.450742i
$210$	1.51929	−	1.14950i	0.104841	−	0.0793229i
$211$	−5.74820	+	2.09217i	−0.395722	+	0.144031i	−0.532214	−	0.846610i	$-0.678640\pi$
$211$	−5.74820	+	2.09217i	−0.395722	+	0.144031i	0.136491	+	0.990641i	$0.456417\pi$
$212$	2.06115	−	0.750197i	0.141560	−	0.0515237i
$213$	1.67314	+	9.48886i	0.114642	+	0.650166i
$214$	5.04913	−	1.83773i	0.345151	−	0.125625i
$215$	−5.34506	+	4.48503i	−0.364530	+	0.305877i
$216$	−0.500000	−	0.866025i	−0.0340207	−	0.0589256i
$217$	−8.96690	+	6.78437i	−0.608713	+	0.460553i
$218$	−7.49132	−	2.72662i	−0.507376	−	0.184670i
$219$	−1.76279	−	9.99725i	−0.119118	−	0.675552i
$220$	0.855734	+	1.48217i	0.0576935	+	0.0999282i
$221$	9.12935			0.614107
$222$	4.84455	−	4.06506i	0.325145	−	0.272829i
$223$	−9.73928	−	8.17222i	−0.652190	−	0.547252i	0.255545	−	0.966797i	$-0.417745\pi$
$223$	−9.73928	−	8.17222i	−0.652190	−	0.547252i	−0.907735	+	0.419545i	$0.862190\pi$
$224$	2.52864	−	0.778452i	0.168952	−	0.0520125i
$225$	−0.778202	+	4.41340i	−0.0518801	+	0.294227i
$226$	−6.87989	−	5.77291i	−0.457643	−	0.384008i
$227$	−11.1964	+	19.3928i	−0.743134	+	1.28715i	0.207928	+	0.978144i	$0.433328\pi$
$227$	−11.1964	+	19.3928i	−0.743134	+	1.28715i	−0.951062	+	0.309001i	$0.900005\pi$
$228$	−4.06870	−	1.56388i	−0.269456	−	0.103570i
$229$	−5.30382	−	9.18649i	−0.350486	−	0.607060i	0.635848	−	0.771814i	$-0.280650\pi$
$229$	−5.30382	−	9.18649i	−0.350486	−	0.607060i	−0.986335	+	0.164754i	$0.947317\pi$
$230$	−5.96992	+	2.17287i	−0.393645	+	0.143275i
$231$	−2.86573	−	5.59742i	−0.188551	−	0.368283i
$232$	2.36029	−	1.98052i	0.154960	−	0.130027i
$233$	−0.518954	+	2.94314i	−0.0339978	+	0.192811i	−0.997077	−	0.0764085i	$-0.975655\pi$
$233$	−0.518954	+	2.94314i	−0.0339978	+	0.192811i	0.963079	+	0.269220i	$0.0867658\pi$
$234$	−3.83767	−	1.39680i	−0.250876	−	0.0913114i
$235$	−3.94362			−0.257254
$236$	−6.23589			−0.405922
$237$	7.07743	+	2.57597i	0.459728	+	0.167327i
$238$	1.31925	−	5.76535i	0.0855145	−	0.373712i
$239$	−14.1569	+	24.5205i	−0.915733	+	1.58610i	−0.109909	+	0.993942i	$0.535056\pi$
$239$	−14.1569	+	24.5205i	−0.915733	+	1.58610i	−0.805824	+	0.592155i	$0.798277\pi$
$240$	0.360039	−	0.623606i	0.0232404	−	0.0402536i
$241$	8.73489	+	3.17924i	0.562663	+	0.204793i	0.607664	−	0.794194i	$-0.292107\pi$
$241$	8.73489	+	3.17924i	0.562663	+	0.204793i	−0.0450006	+	0.998987i	$0.514329\pi$
$242$	−5.02823	+	1.83012i	−0.323227	+	0.117645i
$243$	0.939693	+	0.342020i	0.0602813	+	0.0219406i
$244$	0.668608	−	3.79186i	0.0428032	−	0.242749i
$245$	−4.53896	−	2.19203i	−0.289984	−	0.140044i
$246$	4.78596			0.305141
$247$	−16.8343	+	5.78823i	−1.07114	+	0.368296i
$248$	−2.12496	+	3.68054i	−0.134935	+	0.233715i
$249$	−1.67371	+	9.49206i	−0.106067	+	0.601535i
$250$	−6.41567	+	2.33511i	−0.405763	+	0.147686i
$251$	21.2164	−	17.8027i	1.33917	−	1.12369i	0.357327	−	0.933979i	$-0.383688\pi$
$251$	21.2164	−	17.8027i	1.33917	−	1.12369i	0.981839	−	0.189714i	$-0.0607561\pi$
$252$	−1.43667	+	2.22171i	−0.0905017	+	0.139954i
$253$	3.64134	+	20.6511i	0.228929	+	1.29832i
$254$	6.49455	−	11.2489i	0.407504	−	0.705818i
$255$	−0.804838	−	1.39402i	−0.0504009	−	0.0872970i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	2.59700	+	14.7283i	0.161996	+	0.918727i	0.952108	+	0.305763i	$0.0989117\pi$
$257$	2.59700	+	14.7283i	0.161996	+	0.918727i	−0.790111	+	0.612964i	$0.789977\pi$
$258$	4.84494	−	8.39168i	0.301633	−	0.522443i
$259$	−15.4146	−	6.50782i	−0.957816	−	0.404376i
$260$	−0.510660	−	2.89609i	−0.0316698	−	0.179608i
$261$	−0.535034	+	3.03433i	−0.0331178	+	0.187820i
$262$	−0.348524	−	1.97658i	−0.0215319	−	0.122113i
$263$	−2.96284	−	2.48611i	−0.182696	−	0.153300i	0.546853	−	0.837229i	$-0.315826\pi$
$263$	−2.96284	−	2.48611i	−0.182696	−	0.153300i	−0.729549	+	0.683928i	$0.760270\pi$
$264$	−1.82072	−	1.52776i	−0.112057	−	0.0940273i
$265$	−1.57944			−0.0970243
$266$	1.22270	+	11.4676i	0.0749687	+	0.703121i
$267$	−3.45107			−0.211202
$268$	8.02059	+	6.73007i	0.489935	+	0.411105i
$269$	−22.6991	−	19.0468i	−1.38399	−	1.16131i	−0.967709	−	0.252071i	$-0.918888\pi$
$269$	−22.6991	−	19.0468i	−1.38399	−	1.16131i	−0.416283	−	0.909235i	$-0.636667\pi$
$270$	0.125040	+	0.709139i	0.00760971	+	0.0431568i
$271$	1.32423	−	7.51007i	0.0804411	−	0.456204i	−0.917806	−	0.397028i	$-0.870042\pi$
$271$	1.32423	−	7.51007i	0.0804411	−	0.456204i	0.998248	−	0.0591761i	$-0.0188473\pi$
$272$	−0.388176	−	2.20146i	−0.0235366	−	0.133483i
$273$	1.33763	+	10.7220i	0.0809570	+	0.648926i
$274$	9.75105	−	16.8893i	0.589083	−	1.02032i
$275$	1.84961	+	10.4897i	0.111536	+	0.632551i
$276$	6.75859	−	5.67113i	0.406820	−	0.341362i
$277$	8.06585	+	13.9705i	0.484630	+	0.839404i	0.999844	−	0.0176576i	$-0.00562089\pi$
$277$	8.06585	+	13.9705i	0.484630	+	0.839404i	−0.515214	+	0.857062i	$0.672288\pi$
$278$	5.03612	−	8.72281i	0.302046	−	0.523160i
$279$	−0.737991	−	4.18536i	−0.0441824	−	0.250571i
$280$	−1.90273	−	0.0960148i	−0.113710	−	0.00573798i
$281$	−4.99053	+	4.18755i	−0.297710	+	0.249808i	−0.779390	−	0.626539i	$-0.784471\pi$
$281$	−4.99053	+	4.18755i	−0.297710	+	0.249808i	0.481680	+	0.876347i	$0.340027\pi$
$282$	5.14637	−	1.87313i	0.306462	−	0.111543i
$283$	−1.92967	+	10.9437i	−0.114707	+	0.650535i	0.872188	+	0.489171i	$0.162700\pi$
$283$	−1.92967	+	10.9437i	−0.114707	+	0.650535i	−0.986895	+	0.161364i	$0.948411\pi$
$284$	4.81762	−	8.34436i	0.285873	−	0.495147i
$285$	2.36794	+	2.06025i	0.140265	+	0.122038i
$286$	−9.70666			−0.573967
$287$	−5.77052	−	11.2711i	−0.340623	−	0.665315i
$288$	−0.173648	+	0.984808i	−0.0102323	+	0.0580304i
$289$	11.2790	+	4.10524i	0.663473	+	0.241484i
$290$	−2.08486	+	0.758827i	−0.122427	+	0.0445598i
$291$	−13.2297	−	4.81521i	−0.775538	−	0.282273i
$292$	−5.07574	+	8.79144i	−0.297035	+	0.514480i
$293$	4.64728	−	8.04933i	0.271497	−	0.470247i	−0.697748	−	0.716343i	$-0.745815\pi$
$293$	4.64728	−	8.04933i	0.271497	−	0.470247i	0.969245	+	0.246096i	$0.0791479\pi$
$294$	6.96444	+	0.704669i	0.406174	+	0.0410971i
$295$	4.21953	+	1.53578i	0.245671	+	0.0894168i
$296$	−6.32412			−0.367582
$297$	2.37678			0.137915
$298$	13.9289	+	5.06970i	0.806879	+	0.293680i
$299$	6.25682	−	35.4842i	0.361842	−	2.05211i
$300$	3.43302	−	2.88064i	0.198205	−	0.166314i
$301$	−25.6044	−	1.29204i	−1.47581	−	0.0744720i
$302$	3.28310	−	1.19495i	0.188921	−	0.0687616i
$303$	3.97759	+	6.88939i	0.228507	+	0.395785i
$304$	2.11156	+	3.81331i	0.121106	+	0.218708i
$305$	−1.38628	+	2.40111i	−0.0793782	+	0.137487i
$306$	1.71243	+	1.43690i	0.0978931	+	0.0821420i
$307$	2.04056	−	11.5726i	0.116461	−	0.660484i	−0.869555	−	0.493836i	$-0.835594\pi$
$307$	2.04056	−	11.5726i	0.116461	−	0.660484i	0.986016	−	0.166648i	$-0.0532944\pi$
$308$	−1.40268	+	6.12993i	−0.0799250	+	0.349285i
$309$	8.24501	+	6.91839i	0.469042	+	0.393573i
$310$	2.34431	−	1.96711i	0.133148	−	0.111724i
$311$	26.2423			1.48807			0.744033	−	0.668143i	$-0.232911\pi$
$311$	26.2423			1.48807			0.744033	+	0.668143i	$0.232911\pi$
$312$	2.04198	+	3.53681i	0.115604	+	0.200233i
$313$	4.53398	+	25.7135i	0.256276	+	1.45341i	0.792777	+	0.609512i	$0.208634\pi$
$313$	4.53398	+	25.7135i	0.256276	+	1.45341i	−0.536502	+	0.843899i	$0.680254\pi$
$314$	−3.31093	−	1.20508i	−0.186847	−	0.0680066i
$315$	1.51929	−	1.14950i	0.0856024	−	0.0647669i
$316$	−3.76582	−	6.52259i	−0.211844	−	0.366925i
$317$	18.2011	−	15.2726i	1.02228	−	0.857793i	0.0323654	−	0.999476i	$-0.489696\pi$
$317$	18.2011	−	15.2726i	1.02228	−	0.857793i	0.989912	+	0.141684i	$0.0452515\pi$
$318$	2.06115	−	0.750197i	0.115584	−	0.0420690i
$319$	1.27166	+	7.21192i	0.0711991	+	0.403790i
$320$	−0.676653	+	0.246281i	−0.0378260	+	0.0137675i
$321$	5.04913	−	1.83773i	0.281815	−	0.102572i
$322$	−21.5047	−	9.07900i	−1.19841	−	0.505953i
$323$	9.74240	+	0.174336i	0.542082	+	0.00970033i
$324$	−0.500000	−	0.866025i	−0.0277778	−	0.0481125i
$325$	3.17814	−	18.0242i	0.176292	−	0.999800i
$326$	−14.7076	−	12.3411i	−0.814578	−	0.683512i
$327$	−7.49132	−	2.72662i	−0.414271	−	0.150782i
$328$	−3.66626	−	3.07635i	−0.202435	−	0.169863i
$329$	−10.6164	−	9.86148i	−0.585300	−	0.543681i
$330$	0.855734	+	1.48217i	0.0471066	+	0.0815910i
$331$	4.15799			0.228544			0.114272	−	0.993449i	$-0.463546\pi$
$331$	4.15799			0.228544			0.114272	+	0.993449i	$0.463546\pi$
$332$	7.38352	−	6.19551i	0.405223	−	0.340023i
$333$	4.84455	−	4.06506i	0.265480	−	0.222764i
$334$	4.96263			0.271543
$335$	−3.76966	−	6.52924i	−0.205959	−	0.356731i
$336$	2.52864	−	0.778452i	0.137949	−	0.0424681i
$337$	−27.0969	−	22.7370i	−1.47606	−	1.23856i	−0.910271	−	0.414014i	$-0.864127\pi$
$337$	−27.0969	−	22.7370i	−1.47606	−	1.23856i	−0.565791	−	0.824549i	$-0.691429\pi$
$338$	3.45686	+	1.25820i	0.188029	+	0.0684368i
$339$	−6.87989	−	5.77291i	−0.373664	−	0.313541i
$340$	−0.279517	+	1.58522i	−0.0151590	+	0.0859708i
$341$	−5.05056	−	8.74783i	−0.273503	−	0.473722i
$342$	−4.06870	−	1.56388i	−0.220010	−	0.0845648i
$343$	−6.73763	−	17.2512i	−0.363798	−	0.931478i
$344$	−9.10551	+	3.31413i	−0.490936	+	0.178686i
$345$	−5.96992	+	2.17287i	−0.321409	+	0.116983i
$346$	−2.37810	−	13.4869i	−0.127847	−	0.725058i
$347$	−17.3947	+	6.33115i	−0.933796	+	0.339874i	−0.763713	−	0.645556i	$-0.776626\pi$
$347$	−17.3947	+	6.33115i	−0.933796	+	0.339874i	−0.170083	+	0.985430i	$0.554404\pi$
$348$	2.36029	−	1.98052i	0.126525	−	0.106167i
$349$	15.1820	+	26.2960i	0.812675	+	1.40759i	0.910986	+	0.412438i	$0.135323\pi$
$349$	15.1820	+	26.2960i	0.812675	+	1.40759i	−0.0983111	+	0.995156i	$0.531344\pi$
$350$	−10.9233	−	4.61167i	−0.583875	−	0.246504i
$351$	−3.83767	−	1.39680i	−0.204839	−	0.0745555i
$352$	0.412723	+	2.34067i	0.0219982	+	0.124758i
$353$	−12.8206	−	22.2060i	−0.682373	−	1.18190i	−0.974255	−	0.225450i	$-0.927615\pi$
$353$	−12.8206	−	22.2060i	−0.682373	−	1.18190i	0.291882	−	0.956454i	$-0.405718\pi$
$354$	−6.23589			−0.331434
$355$	−5.31492	+	4.45975i	−0.282087	+	0.236699i
$356$	2.64368	+	2.21831i	0.140115	+	0.117570i
$357$	1.31925	−	5.76535i	0.0698223	−	0.305135i
$358$	1.17607	−	6.66985i	0.0621575	−	0.352513i
$359$	25.6499	+	21.5229i	1.35375	+	1.13593i	0.977858	+	0.209271i	$0.0671091\pi$
$359$	25.6499	+	21.5229i	1.35375	+	1.13593i	0.375895	+	0.926662i	$0.377335\pi$
$360$	0.360039	−	0.623606i	0.0189757	−	0.0328669i
$361$	−18.0752	+	5.85544i	−0.951328	+	0.308181i
$362$	−10.2009	−	17.6686i	−0.536150	−	0.928639i
$363$	−5.02823	+	1.83012i	−0.263913	+	0.0960566i
$364$	5.86730	−	9.07336i	0.307530	−	0.475573i
$365$	5.59968	−	4.69869i	0.293101	−	0.245941i
$366$	0.668608	−	3.79186i	0.0349487	−	0.198204i
$367$	−18.7843	−	6.83692i	−0.980532	−	0.356884i	−0.198485	−	0.980104i	$-0.563602\pi$
$367$	−18.7843	−	6.83692i	−0.980532	−	0.356884i	−0.782047	+	0.623220i	$0.785824\pi$
$368$	−8.82272			−0.459916
$369$	4.78596			0.249147
$370$	4.27923	+	1.55751i	0.222467	+	0.0809712i
$371$	−4.25192	−	3.94957i	−0.220748	−	0.205052i
$372$	−2.12496	+	3.68054i	−0.110174	+	0.190827i
$373$	−4.73779	+	8.20609i	−0.245313	+	0.424895i	−0.962220	−	0.272274i	$-0.912224\pi$
$373$	−4.73779	+	8.20609i	−0.245313	+	0.424895i	0.716906	+	0.697170i	$0.245558\pi$
$374$	4.99267	+	1.81718i	0.258165	+	0.0939644i
$375$	−6.41567	+	2.33511i	−0.331304	+	0.120585i
$376$	−5.14637	−	1.87313i	−0.265404	−	0.0965992i
$377$	2.18506	−	12.3921i	0.112536	−	0.638224i
$378$	−1.43667	+	2.22171i	−0.0738943	+	0.114272i
$379$	−20.6450			−1.06046			−0.530231	−	0.847853i	$-0.677895\pi$
$379$	−20.6450			−1.06046			−0.530231	+	0.847853i	$0.677895\pi$
$380$	−0.489647	−	3.10032i	−0.0251183	−	0.159043i
$381$	6.49455	−	11.2489i	0.332726	−	0.576298i
$382$	−4.44023	+	25.1818i	−0.227182	+	1.28841i
$383$	3.59027	−	1.30675i	0.183454	−	0.0667719i	−0.248660	−	0.968591i	$-0.579990\pi$
$383$	3.59027	−	1.30675i	0.183454	−	0.0667719i	0.432114	+	0.901819i	$0.357768\pi$
$384$	0.766044	−	0.642788i	0.0390920	−	0.0328021i
$385$	2.45881	−	3.80238i	0.125313	−	0.193787i
$386$	−1.69750	−	9.62698i	−0.0864003	−	0.490000i
$387$	4.84494	−	8.39168i	0.246282	−	0.426573i
$388$	7.03937	+	12.1925i	0.357370	+	0.618982i
$389$	−12.8829	+	10.8100i	−0.653189	+	0.548091i	−0.908037	−	0.418890i	$-0.862419\pi$
$389$	−12.8829	+	10.8100i	−0.653189	+	0.548091i	0.254848	+	0.966981i	$0.417975\pi$
$390$	−0.510660	−	2.89609i	−0.0258583	−	0.146649i
$391$	−9.86123	+	17.0802i	−0.498704	+	0.863781i
$392$	−4.88212	−	5.01646i	−0.246584	−	0.253370i
$393$	−0.348524	−	1.97658i	−0.0175807	−	0.0997051i
$394$	3.16881	−	17.9712i	0.159642	−	0.905376i
$395$	0.941759	+	5.34098i	0.0473851	+	0.268734i
$396$	−1.82072	−	1.52776i	−0.0914945	−	0.0767730i
$397$	21.3451	+	17.9107i	1.07128	+	0.898911i	0.995168	−	0.0981884i	$-0.0313048\pi$
$397$	21.3451	+	17.9107i	1.07128	+	0.898911i	0.0761124	+	0.997099i	$0.475749\pi$
$398$	9.89813			0.496149
$399$	1.22270	+	11.4676i	0.0612117	+	0.574096i
$400$	−4.48149			−0.224074
$401$	3.26674	+	2.74112i	0.163133	+	0.136885i	0.720700	−	0.693247i	$-0.243821\pi$
$401$	3.26674	+	2.74112i	0.163133	+	0.136885i	−0.557567	+	0.830132i	$0.688265\pi$
$402$	8.02059	+	6.73007i	0.400031	+	0.335666i
$403$	3.01393	+	17.0928i	0.150134	+	0.851454i
$404$	1.38140	−	7.83433i	0.0687274	−	0.389772i
$405$	0.125040	+	0.709139i	0.00621331	+	0.0352374i
$406$	−7.51005	−	3.17064i	−0.372718	−	0.157356i
$407$	7.51551	−	13.0172i	0.372530	−	0.645241i
$408$	−0.388176	−	2.20146i	−0.0192176	−	0.108988i
$409$	−23.8138	+	19.9822i	−1.17752	+	0.988055i	−0.177526	+	0.984116i	$0.556809\pi$
$409$	−23.8138	+	19.9822i	−1.17752	+	0.988055i	−0.999992	+	0.00393923i	$0.998746\pi$
$410$	1.72313	+	2.98455i	0.0850995	+	0.147397i
$411$	9.75105	−	16.8893i	0.480984	−	0.833089i
$412$	−1.86899	−	10.5996i	−0.0920787	−	0.522204i
$413$	7.51873	+	14.6858i	0.369973	+	0.722641i
$414$	6.75859	−	5.67113i	0.332167	−	0.278721i
$415$	−6.52191	+	2.37378i	−0.320148	+	0.116524i
$416$	0.709172	−	4.02191i	0.0347700	−	0.197191i
$417$	5.03612	−	8.72281i	0.246620	−	0.427158i
$418$	−10.3585	−	0.185361i	−0.506650	−	0.00906628i
$419$	−10.4869			−0.512318			−0.256159	−	0.966635i	$-0.582457\pi$
$419$	−10.4869			−0.512318			−0.256159	+	0.966635i	$0.582457\pi$
$420$	−1.90273	−	0.0960148i	−0.0928436	−	0.00468504i
$421$	6.68036	−	37.8862i	0.325581	−	1.84646i	−0.179983	−	0.983670i	$-0.557604\pi$
$421$	6.68036	−	37.8862i	0.325581	−	1.84646i	0.505563	−	0.862790i	$-0.331285\pi$
$422$	5.74820	+	2.09217i	0.279818	+	0.101845i
$423$	5.14637	−	1.87313i	0.250225	−	0.0910746i
$424$	−2.06115	−	0.750197i	−0.100098	−	0.0364328i
$425$	−5.00900	+	8.67584i	−0.242972	+	0.420840i
$426$	4.81762	−	8.34436i	0.233414	−	0.404286i
$427$	−9.73616	+	2.99732i	−0.471166	+	0.145050i
$428$	−5.04913	−	1.83773i	−0.244059	−	0.0888301i
$429$	−9.70666			−0.468642
$430$	6.97747			0.336484
$431$	18.7073	+	6.80891i	0.901100	+	0.327973i	0.750693	−	0.660651i	$-0.229720\pi$
$431$	18.7073	+	6.80891i	0.901100	+	0.327973i	0.150406	+	0.988624i	$0.451942\pi$
$432$	−0.173648	+	0.984808i	−0.00835465	+	0.0473816i
$433$	−2.05128	+	1.72123i	−0.0985781	+	0.0827168i	−0.690745	−	0.723099i	$-0.742717\pi$
$433$	−2.05128	+	1.72123i	−0.0985781	+	0.0827168i	0.592167	+	0.805816i	$0.298273\pi$
$434$	11.2300	+	0.566682i	0.539055	+	0.0272016i
$435$	−2.08486	+	0.758827i	−0.0999613	+	0.0363830i
$436$	3.98605	+	6.90403i	0.190897	+	0.330643i
$437$	7.35459	−	37.7475i	0.351818	−	1.80571i
$438$	−5.07574	+	8.79144i	−0.242528	+	0.420071i
$439$	23.6073	+	19.8089i	1.12672	+	0.945428i	0.998924	−	0.0463734i	$-0.0147664\pi$
$439$	23.6073	+	19.8089i	1.12672	+	0.945428i	0.127793	+	0.991801i	$0.459211\pi$
$440$	0.297193	−	1.68547i	0.0141681	−	0.0803514i
$441$	6.96444	+	0.704669i	0.331640	+	0.0335557i
$442$	−6.99349	−	5.86824i	−0.332646	−	0.279124i
$443$	−16.3704	+	13.7364i	−0.777780	+	0.652635i	−0.942689	−	0.333674i	$-0.891712\pi$
$443$	−16.3704	+	13.7364i	−0.777780	+	0.652635i	0.164909	+	0.986309i	$0.447267\pi$
$444$	−6.32412			−0.300129
$445$	−1.24252	−	2.15211i	−0.0589012	−	0.102020i
$446$	2.20771	+	12.5206i	0.104538	+	0.592866i
$447$	13.9289	+	5.06970i	0.658814	+	0.239789i
$448$	−2.43743	−	1.02905i	−0.115158	−	0.0486180i
$449$	7.67486	+	13.2933i	0.362199	+	0.627347i	0.988322	−	0.152377i	$-0.0486927\pi$
$449$	7.67486	+	13.2933i	0.362199	+	0.627347i	−0.626123	+	0.779724i	$0.715359\pi$
$450$	3.43302	−	2.88064i	0.161834	−	0.135795i
$451$	10.6892	−	3.89053i	0.503332	−	0.183198i
$452$	1.55954	+	8.84461i	0.0733548	+	0.416016i
$453$	3.28310	−	1.19495i	0.154253	−	0.0561436i
$454$	21.0424	−	7.65881i	0.987570	−	0.359446i
$455$	−6.20472	+	4.69450i	−0.290882	+	0.220082i
$456$	2.11156	+	3.81331i	0.0988829	+	0.178574i
$457$	−0.852257	−	1.47615i	−0.0398669	−	0.0690515i	0.845403	−	0.534128i	$-0.179360\pi$
$457$	−0.852257	−	1.47615i	−0.0398669	−	0.0690515i	−0.885270	+	0.465077i	$0.846027\pi$
$458$	−1.84200	+	10.4465i	−0.0860709	+	0.488132i
$459$	1.71243	+	1.43690i	0.0799294	+	0.0670687i
$460$	5.96992	+	2.17287i	0.278349	+	0.101311i
$461$	−13.3162	−	11.1736i	−0.620198	−	0.520408i	0.277668	−	0.960677i	$-0.410439\pi$
$461$	−13.3162	−	11.1736i	−0.620198	−	0.520408i	−0.897866	+	0.440269i	$0.854883\pi$
$462$	−1.40268	+	6.12993i	−0.0652585	+	0.285190i
$463$	−18.3446	−	31.7738i	−0.852545	−	1.47665i	−0.878904	−	0.476999i	$-0.841724\pi$
$463$	−18.3446	−	31.7738i	−0.852545	−	1.47665i	0.0263583	−	0.999653i	$-0.491609\pi$
$464$	−3.08114			−0.143038
$465$	2.34431	−	1.96711i	0.108715	−	0.0912225i
$466$	2.28935	−	1.92100i	0.106052	−	0.0889884i
$467$	9.89430			0.457854			0.228927	−	0.973444i	$-0.426478\pi$
$467$	9.89430			0.457854			0.228927	+	0.973444i	$0.426478\pi$
$468$	2.04198	+	3.53681i	0.0943905	+	0.163489i
$469$	6.17905	−	27.0034i	0.285322	−	1.24690i
$470$	3.02099	+	2.53491i	0.139348	+	0.116927i
$471$	−3.31093	−	1.20508i	−0.152560	−	0.0555272i
$472$	4.77697	+	4.00835i	0.219878	+	0.184499i
$473$	3.99924	−	22.6808i	0.183885	−	1.04286i
$474$	−3.76582	−	6.52259i	−0.172970	−	0.299593i
$475$	3.73575	−	19.1738i	0.171408	−	0.879755i
$476$	−4.71650	+	3.56851i	−0.216180	+	0.163562i
$477$	2.06115	−	0.750197i	0.0943735	−	0.0343492i
$478$	26.6063	−	9.68389i	1.21694	−	0.442931i
$479$	1.01480	+	5.75521i	0.0463673	+	0.262962i	0.999175	−	0.0406125i	$-0.0129309\pi$
$479$	1.01480	+	5.75521i	0.0463673	+	0.262962i	−0.952808	+	0.303575i	$0.901820\pi$
$480$	−0.676653	+	0.246281i	−0.0308848	+	0.0112412i
$481$	−19.7850	+	16.6016i	−0.902116	+	0.756966i
$482$	−4.64774	−	8.05011i	−0.211699	−	0.366673i
$483$	−21.5047	−	9.07900i	−0.978500	−	0.413109i
$484$	5.02823	+	1.83012i	0.228556	+	0.0831875i
$485$	−1.76041	−	9.98378i	−0.0799361	−	0.453340i
$486$	−0.500000	−	0.866025i	−0.0226805	−	0.0392837i
$487$	−2.59137			−0.117426			−0.0587130	−	0.998275i	$-0.518700\pi$
$487$	−2.59137			−0.117426			−0.0587130	+	0.998275i	$0.518700\pi$
$488$	−2.94955	+	2.47496i	−0.133520	+	0.112036i
$489$	−14.7076	−	12.3411i	−0.665100	−	0.558086i
$490$	2.06804	+	4.59678i	0.0934244	+	0.207661i
$491$	−1.18603	+	6.72631i	−0.0535248	+	0.303554i	−0.999804	−	0.0197965i	$-0.993698\pi$
$491$	−1.18603	+	6.72631i	−0.0535248	+	0.303554i	0.946279	+	0.323350i	$0.104809\pi$
$492$	−3.66626	−	3.07635i	−0.165288	−	0.138693i
$493$	−3.44381	+	5.96486i	−0.155102	+	0.268644i
$494$	16.6164	+	6.38681i	0.747607	+	0.287356i
$495$	0.855734	+	1.48217i	0.0384624	+	0.0666188i
$496$	3.99362	−	1.45356i	0.179319	−	0.0652667i
$497$	−25.4601	−	1.28476i	−1.14204	−	0.0576292i
$498$	7.38352	−	6.19551i	0.330863	−	0.277627i
$499$	0.197748	−	1.12148i	0.00885242	−	0.0502045i	−0.980062	−	0.198694i	$-0.936330\pi$
$499$	0.197748	−	1.12148i	0.00885242	−	0.0502045i	0.988914	+	0.148489i	$0.0474411\pi$
$500$	6.41567	+	2.33511i	0.286918	+	0.104429i
$501$	4.96263			0.221714
$502$	−27.6960			−1.23613
$503$	15.5262	+	5.65107i	0.692278	+	0.251969i	0.664110	−	0.747635i	$-0.268811\pi$
$503$	15.5262	+	5.65107i	0.692278	+	0.251969i	0.0281677	+	0.999603i	$0.491033\pi$
$504$	2.52864	−	0.778452i	0.112635	−	0.0346750i
$505$	−2.86418	+	4.96090i	−0.127454	+	0.220757i
$506$	10.4848	−	18.1602i	0.466107	−	0.807321i
$507$	3.45686	+	1.25820i	0.153525	+	0.0558784i
$508$	−12.2058	+	4.44253i	−0.541543	+	0.197106i
$509$	−6.27410	−	2.28358i	−0.278094	−	0.101218i	0.199208	−	0.979957i	$-0.436163\pi$
$509$	−6.27410	−	2.28358i	−0.278094	−	0.101218i	−0.477302	+	0.878739i	$0.658385\pi$
$510$	−0.279517	+	1.58522i	−0.0123772	+	0.0701948i
$511$	26.8242	+	1.35359i	1.18663	+	0.0598793i
$512$	−1.00000			−0.0441942
$513$	−4.06870	−	1.56388i	−0.179637	−	0.0690469i
$514$	7.47776	−	12.9519i	0.329830	−	0.571282i
$515$	−1.34582	+	7.63253i	−0.0593040	+	0.336330i
$516$	−9.10551	+	3.31413i	−0.400848	+	0.145897i
$517$	9.97145	−	8.36704i	0.438544	−	0.367982i
$518$	7.62511	+	14.8936i	0.335028	+	0.654386i
$519$	−2.37810	−	13.4869i	−0.104387	−	0.592007i
$520$	−1.47039	+	2.54678i	−0.0644807	+	0.111684i
$521$	−4.54623	−	7.87429i	−0.199174	−	0.344979i	0.749087	−	0.662472i	$-0.230492\pi$
$521$	−4.54623	−	7.87429i	−0.199174	−	0.344979i	−0.948261	+	0.317493i	$0.897159\pi$
$522$	2.36029	−	1.98052i	0.103307	−	0.0866848i
$523$	−2.95349	−	16.7501i	−0.129147	−	0.732429i	−0.978758	−	0.205019i	$-0.934274\pi$
$523$	−2.95349	−	16.7501i	−0.129147	−	0.732429i	0.849611	−	0.527410i	$-0.176837\pi$
$524$	−1.00353	+	1.73817i	−0.0438396	+	0.0759324i
$525$	−10.9233	−	4.61167i	−0.476732	−	0.201270i
$526$	0.671620	+	3.80895i	0.0292840	+	0.166078i
$527$	1.64972	−	9.35602i	0.0718629	−	0.407555i
$528$	0.412723	+	2.34067i	0.0179615	+	0.101865i
$529$	42.0101	+	35.2507i	1.82653	+	1.53264i
$530$	1.20992	+	1.01525i	0.0525557	+	0.0440994i
$531$	−6.23589			−0.270615
$532$	6.43456	−	9.57060i	0.278974	−	0.414938i
$533$	−19.5457			−0.846616
$534$	2.64368	+	2.21831i	0.114403	+	0.0959956i
$535$	2.96391	+	2.48701i	0.128141	+	0.107523i
$536$	−1.81812	−	10.3111i	−0.0785308	−	0.445370i
$537$	1.17607	−	6.66985i	0.0507514	−	0.287825i
$538$	5.14548	+	29.1815i	0.221837	+	1.25810i
$539$	16.1275	−	4.08760i	0.694660	−	0.176065i
$540$	0.360039	−	0.623606i	0.0154936	−	0.0268357i
$541$	−1.00692	−	5.71053i	−0.0432909	−	0.245515i	0.955481	−	0.295051i	$-0.0953367\pi$
$541$	−1.00692	−	5.71053i	−0.0432909	−	0.245515i	−0.998772	+	0.0495365i	$0.984226\pi$
$542$	−5.84180	+	4.90185i	−0.250927	+	0.210552i
$543$	−10.2009	−	17.6686i	−0.437764	−	0.758230i
$544$	−1.11771	+	1.93593i	−0.0479214	+	0.0830023i
$545$	−0.996833	−	5.65332i	−0.0426996	−	0.242162i
$546$	5.86730	−	9.07336i	0.251097	−	0.388304i
$547$	−27.0090	+	22.6632i	−1.15482	+	0.969009i	−0.999821	−	0.0189062i	$-0.993982\pi$
$547$	−27.0090	+	22.6632i	−1.15482	+	0.969009i	−0.154998	+	0.987915i	$0.549537\pi$
$548$	−18.3260	+	6.67011i	−0.782847	+	0.284933i
$549$	0.668608	−	3.79186i	0.0285355	−	0.161833i
$550$	5.32575	−	9.22447i	0.227091	−	0.393333i
$551$	2.56843	−	13.1825i	0.109419	−	0.561593i
$552$	−8.82272			−0.375520
$553$	−10.8205	+	16.7331i	−0.460134	+	0.711564i
$554$	2.80124	−	15.8866i	0.119013	−	0.674958i
$555$	4.27923	+	1.55751i	0.181643	+	0.0661127i
$556$	−9.46481	+	3.44491i	−0.401397	+	0.146097i
$557$	−7.55483	−	2.74973i	−0.320109	−	0.116510i	0.176968	−	0.984217i	$-0.443371\pi$
$557$	−7.55483	−	2.74973i	−0.320109	−	0.116510i	−0.497077	+	0.867707i	$0.665593\pi$
$558$	−2.12496	+	3.68054i	−0.0899568	+	0.155810i
$559$	−19.7865	+	34.2713i	−0.836881	+	1.44952i
$560$	1.39586	+	1.29660i	0.0589857	+	0.0547914i
$561$	4.99267	+	1.81718i	0.210791	+	0.0767216i
$562$	6.51467			0.274805
$563$	7.77522			0.327687			0.163843	−	0.986486i	$-0.447611\pi$
$563$	7.77522			0.327687			0.163843	+	0.986486i	$0.447611\pi$
$564$	−5.14637	−	1.87313i	−0.216701	−	0.0788729i
$565$	1.12299	−	6.36882i	0.0472447	−	0.267938i
$566$	8.51268	−	7.14299i	0.357815	−	0.300242i
$567$	−1.43667	+	2.22171i	−0.0603345	+	0.0933029i
$568$	−9.05417	+	3.29545i	−0.379904	+	0.138274i
$569$	−0.545529	−	0.944885i	−0.0228698	−	0.0396116i	0.854364	−	0.519675i	$-0.173947\pi$
$569$	−0.545529	−	0.944885i	−0.0228698	−	0.0396116i	−0.877234	+	0.480063i	$0.840614\pi$
$570$	−0.489647	−	3.10032i	−0.0205090	−	0.129858i
$571$	4.98453	−	8.63345i	0.208596	−	0.361299i	−0.742677	−	0.669650i	$-0.766444\pi$
$571$	4.98453	−	8.63345i	0.208596	−	0.361299i	0.951272	+	0.308352i	$0.0997773\pi$
$572$	7.43573	+	6.23932i	0.310904	+	0.260879i
$573$	−4.44023	+	25.1818i	−0.185493	+	1.05198i
$574$	−2.82448	+	12.3434i	−0.117891	+	0.515204i
$575$	30.2885	+	25.4151i	1.26312	+	1.05988i
$576$	0.766044	−	0.642788i	0.0319185	−	0.0267828i
$577$	29.7643			1.23910			0.619552	−	0.784955i	$-0.287314\pi$
$577$	29.7643			1.23910			0.619552	+	0.784955i	$0.287314\pi$
$578$	−6.00145	−	10.3948i	−0.249628	−	0.432368i
$579$	−1.69750	−	9.62698i	−0.0705455	−	0.400084i
$580$	2.08486	+	0.758827i	0.0865691	+	0.0315086i
$581$	−23.4931	−	9.91848i	−0.974660	−	0.411488i
$582$	7.03937	+	12.1925i	0.291791	+	0.505397i
$583$	3.99361	−	3.35104i	0.165399	−	0.138786i
$584$	9.53927	−	3.47201i	0.394738	−	0.143673i
$585$	−0.510660	−	2.89609i	−0.0211132	−	0.119739i
$586$	−8.73403	+	3.17893i	−0.360800	+	0.131320i
$587$	−25.6151	+	9.32315i	−1.05725	+	0.384808i	−0.811395	−	0.584499i	$-0.801291\pi$
$587$	−25.6151	+	9.32315i	−1.05725	+	0.384808i	−0.245856	+	0.969306i	$0.579069\pi$
$588$	−4.88212	−	5.01646i	−0.201335	−	0.206875i
$589$	2.88991	+	18.2982i	0.119077	+	0.753964i
$590$	−2.24517	−	3.88874i	−0.0924320	−	0.160097i
$591$	3.16881	−	17.9712i	0.130347	−	0.739237i
$592$	4.84455	+	4.06506i	0.199110	+	0.167073i
$593$	17.5980	+	6.40514i	0.722663	+	0.263028i	0.677056	−	0.735932i	$-0.263256\pi$
$593$	17.5980	+	6.40514i	0.722663	+	0.263028i	0.0456070	+	0.998959i	$0.485478\pi$
$594$	−1.82072	−	1.52776i	−0.0747049	−	0.0626849i
$595$	4.07029	−	1.25306i	0.166866	−	0.0513703i
$596$	−7.41141	−	12.8369i	−0.303583	−	0.525821i
$597$	9.89813			0.405104
$598$	−27.6018	+	23.1607i	−1.12872	+	0.947110i
$599$	−23.5742	+	19.7811i	−0.963215	+	0.808233i	−0.981473	−	0.191600i	$-0.938632\pi$
$599$	−23.5742	+	19.7811i	−0.963215	+	0.808233i	0.0182584	+	0.999833i	$0.494188\pi$
$600$	−4.48149			−0.182956
$601$	5.63660	+	9.76288i	0.229922	+	0.398236i	0.957785	−	0.287486i	$-0.0928196\pi$
$601$	5.63660	+	9.76288i	0.229922	+	0.398236i	−0.727863	+	0.685723i	$0.759486\pi$
$602$	18.7836	+	17.4480i	0.765563	+	0.711126i
$603$	8.02059	+	6.73007i	0.326624	+	0.274070i
$604$	−3.28310	−	1.19495i	−0.133587	−	0.0486218i
$605$	−2.95164	−	2.47672i	−0.120001	−	0.100693i
$606$	1.38140	−	7.83433i	0.0561157	−	0.318248i
$607$	13.1424	+	22.7632i	0.533432	+	0.923931i	0.999237	+	0.0390440i	$0.0124313\pi$
$607$	13.1424	+	22.7632i	0.533432	+	0.923931i	−0.465806	+	0.884887i	$0.654235\pi$
$608$	0.833597	−	4.27845i	0.0338068	−	0.173514i
$609$	−7.51005	−	3.17064i	−0.304323	−	0.128481i
$610$	2.60535	−	0.948272i	0.105488	−	0.0383944i
$611$	−21.0176	+	7.64977i	−0.850280	+	0.309477i
$612$	−0.388176	−	2.20146i	−0.0156911	−	0.0889886i
$613$	33.3970	−	12.1555i	1.34889	−	0.490957i	0.436290	−	0.899806i	$-0.356292\pi$
$613$	33.3970	−	12.1555i	1.34889	−	0.490957i	0.912602	+	0.408849i	$0.134070\pi$
$614$	−9.00189	+	7.55348i	−0.363287	+	0.304834i
$615$	1.72313	+	2.98455i	0.0694834	+	0.120349i
$616$	5.01476	−	3.79417i	0.202050	−	0.152872i
$617$	27.9663	+	10.1789i	1.12588	+	0.409787i	0.836795	−	0.547516i	$-0.184426\pi$
$617$	27.9663	+	10.1789i	1.12588	+	0.409787i	0.289086	+	0.957303i	$0.406649\pi$
$618$	−1.86899	−	10.5996i	−0.0751819	−	0.426378i
$619$	−21.8596	−	37.8619i	−0.878610	−	1.52180i	−0.852867	−	0.522128i	$-0.825138\pi$
$619$	−21.8596	−	37.8619i	−0.878610	−	1.52180i	−0.0257428	−	0.999669i	$-0.508195\pi$
$620$	−3.06028			−0.122904
$621$	6.75859	−	5.67113i	0.271213	−	0.227575i
$622$	−20.1028	−	16.8682i	−0.806048	−	0.676355i
$623$	2.03668	−	8.90064i	0.0815981	−	0.356596i
$624$	0.709172	−	4.02191i	0.0283896	−	0.161005i
$625$	13.3990	+	11.2431i	0.535960	+	0.449724i
$626$	13.0551	−	22.6120i	0.521785	−	0.903759i
$627$	−10.3585	−	0.185361i	−0.413678	−	0.00740259i
$628$	1.76171	+	3.05137i	0.0702999	+	0.121763i
$629$	13.2845	−	4.83515i	0.529687	−	0.192790i
$630$	−1.90273	−	0.0960148i	−0.0758065	−	0.00382532i
$631$	18.2712	−	15.3314i	0.727367	−	0.610333i	−0.202046	−	0.979376i	$-0.564759\pi$
$631$	18.2712	−	15.3314i	0.727367	−	0.610333i	0.929412	+	0.369043i	$0.120314\pi$
$632$	−1.30786	+	7.41722i	−0.0520237	+	0.295041i
$633$	5.74820	+	2.09217i	0.228470	+	0.0831564i
$634$	−23.7599			−0.943626
$635$	9.35317			0.371169
$636$	−2.06115	−	0.750197i	−0.0817299	−	0.0297472i
$637$	−28.4425	−	2.87784i	−1.12693	−	0.114024i
$638$	3.66159	−	6.34206i	0.144964	−	0.251084i
$639$	4.81762	−	8.34436i	0.190582	−	0.330098i
$640$	0.676653	+	0.246281i	0.0267470	+	0.00973513i
$641$	26.6179	−	9.68814i	1.05135	−	0.382659i	0.242175	−	0.970233i	$-0.422139\pi$
$641$	26.6179	−	9.68814i	1.05135	−	0.382659i	0.809170	+	0.587574i	$0.199917\pi$
$642$	−5.04913	−	1.83773i	−0.199273	−	0.0725295i
$643$	0.286498	−	1.62481i	0.0112984	−	0.0640762i	−0.978637	−	0.205594i	$-0.934087\pi$
$643$	0.286498	−	1.62481i	0.0112984	−	0.0640762i	0.989936	+	0.141518i	$0.0451984\pi$
$644$	10.6377	+	20.7779i	0.419185	+	0.818764i
$645$	6.97747			0.274738
$646$	−7.35105	−	6.39584i	−0.289223	−	0.251641i
$647$	−25.1502	+	43.5615i	−0.988757	+	1.71258i	−0.364884	+	0.931053i	$0.618891\pi$
$647$	−25.1502	+	43.5615i	−0.988757	+	1.71258i	−0.623874	+	0.781525i	$0.714442\pi$
$648$	−0.173648	+	0.984808i	−0.00682154	+	0.0386869i
$649$	−13.9275	+	5.06919i	−0.546702	+	0.198983i
$650$	−14.0203	+	11.7644i	−0.549922	+	0.461439i
$651$	11.2300	+	0.566682i	0.440137	+	0.0222100i
$652$	3.33394	+	18.9077i	0.130567	+	0.740483i
$653$	−7.22989	+	12.5225i	−0.282928	+	0.490045i	−0.972104	−	0.234548i	$-0.924639\pi$
$653$	−7.22989	+	12.5225i	−0.282928	+	0.490045i	0.689177	+	0.724593i	$0.257972\pi$
$654$	3.98605	+	6.90403i	0.155867	+	0.269969i
$655$	1.10712	−	0.928987i	0.0432589	−	0.0362985i
$656$	0.831073	+	4.71325i	0.0324479	+	0.184021i
$657$	−5.07574	+	8.79144i	−0.198023	+	0.342987i
$658$	1.79378	+	14.3784i	0.0699290	+	0.560529i
$659$	0.851755	+	4.83054i	0.0331797	+	0.188171i	0.996893	−	0.0787683i	$-0.0250987\pi$
$659$	0.851755	+	4.83054i	0.0331797	+	0.188171i	−0.963713	+	0.266939i	$0.913988\pi$
$660$	0.297193	−	1.68547i	0.0115682	−	0.0656067i
$661$	−1.36112	−	7.71928i	−0.0529413	−	0.300245i	0.946828	−	0.321741i	$-0.104268\pi$
$661$	−1.36112	−	7.71928i	−0.0529413	−	0.300245i	−0.999769	+	0.0214961i	$0.993157\pi$
$662$	−3.18521	−	2.67271i	−0.123797	−	0.103878i
$663$	−6.99349	−	5.86824i	−0.271605	−	0.227903i
$664$	−9.63849			−0.374046
$665$	−6.71103	+	4.89126i	−0.260242	+	0.189675i
$666$	−6.32412			−0.245055
$667$	20.8242	+	17.4735i	0.806314	+	0.676578i
$668$	−3.80159	−	3.18992i	−0.147088	−	0.123422i
$669$	2.20771	+	12.5206i	0.0853552	+	0.484073i
$670$	−1.30919	+	7.42478i	−0.0505784	+	0.286844i
$671$	−1.58913	−	9.01241i	−0.0613478	−	0.347920i
$672$	−2.43743	−	1.02905i	−0.0940259	−	0.0396964i
$673$	−22.7499	+	39.4039i	−0.876943	+	1.51891i	−0.0222654	+	0.999752i	$0.507088\pi$
$673$	−22.7499	+	39.4039i	−0.876943	+	1.51891i	−0.854678	+	0.519158i	$0.826245\pi$
$674$	6.14237	+	34.8351i	0.236595	+	1.34180i
$675$	3.43302	−	2.88064i	0.132137	−	0.110876i
$676$	−1.83936	−	3.18586i	−0.0707446	−	0.122533i
$677$	9.26318	−	16.0443i	0.356013	−	0.616633i	−0.631278	−	0.775557i	$-0.717469\pi$
$677$	9.26318	−	16.0443i	0.356013	−	0.616633i	0.987291	+	0.158924i	$0.0508025\pi$
$678$	1.55954	+	8.84461i	0.0598939	+	0.339675i
$679$	20.2265	−	31.2788i	0.776221	−	1.20037i
$680$	1.23308	−	1.03468i	0.0472866	−	0.0396782i
$681$	21.0424	−	7.65881i	0.806347	−	0.293486i
$682$	−1.75404	+	9.94767i	−0.0671657	+	0.380916i
$683$	−8.49670	+	14.7167i	−0.325117	+	0.563119i	−0.981536	−	0.191277i	$-0.938737\pi$
$683$	−8.49670	+	14.7167i	−0.325117	+	0.563119i	0.656419	+	0.754397i	$0.272070\pi$
$684$	2.11156	+	3.81331i	0.0807375	+	0.145805i
$685$	14.0431			0.536557
$686$	−5.92754	+	17.5461i	−0.226314	+	0.669912i
$687$	−1.84200	+	10.4465i	−0.0702766	+	0.398558i
$688$	9.10551	+	3.31413i	0.347144	+	0.126350i
$689$	−8.41765	+	3.06377i	−0.320687	+	0.116720i
$690$	5.96992	+	2.17287i	0.227271	+	0.0827198i
$691$	−0.163634	+	0.283423i	−0.00622493	+	0.0107819i	−0.869121	−	0.494599i	$-0.835315\pi$
$691$	−0.163634	+	0.283423i	−0.00622493	+	0.0107819i	0.862896	+	0.505381i	$0.168648\pi$
$692$	−6.84746	+	11.8601i	−0.260301	+	0.450855i
$693$	−1.40268	+	6.12993i	−0.0532833	+	0.232857i
$694$	17.3947	+	6.33115i	0.660294	+	0.240327i
$695$	7.25280			0.275114
$696$	−3.08114			−0.116790
$697$	10.0534	+	3.65914i	0.380800	+	0.138600i
$698$	5.27266	−	29.9027i	0.199573	−	1.13184i
$699$	2.28935	−	1.92100i	0.0865913	−	0.0726588i
$700$	5.40342	+	10.5541i	0.204230	+	0.398908i
$701$	16.9447	−	6.16738i	0.639994	−	0.232939i	−0.00158147	−	0.999999i	$-0.500503\pi$
$701$	16.9447	−	6.16738i	0.639994	−	0.232939i	0.641575	+	0.767060i	$0.278281\pi$
$702$	2.04198	+	3.53681i	0.0770695	+	0.133488i
$703$	−21.4306	+	17.3385i	−0.808269	+	0.653936i
$704$	1.18839	−	2.05835i	0.0447891	−	0.0775770i
$705$	3.02099	+	2.53491i	0.113777	+	0.0954703i
$706$	−4.45255	+	25.2517i	−0.167574	+	0.950360i
$707$	−20.1158	+	6.19273i	−0.756532	+	0.232902i
$708$	4.77697	+	4.00835i	0.179529	+	0.150643i
$709$	−23.3635	+	19.6043i	−0.877436	+	0.736257i	−0.965650	−	0.259845i	$-0.916329\pi$
$709$	−23.3635	+	19.6043i	−0.877436	+	0.736257i	0.0882139	+	0.996102i	$0.471884\pi$
$710$	6.93813			0.260383
$711$	−3.76582	−	6.52259i	−0.141229	−	0.244616i
$712$	−0.599273	−	3.39864i	−0.0224587	−	0.127370i
$713$	−35.2346	−	12.8243i	−1.31955	−	0.480276i
$714$	−4.71650	+	3.56851i	−0.176511	+	0.133548i
$715$	−3.49478	−	6.05314i	−0.130697	−	0.226375i
$716$	−5.18822	+	4.35344i	−0.193893	+	0.162696i
$717$	26.6063	−	9.68389i	0.993629	−	0.361651i
$718$	−5.81437	−	32.9749i	−0.216990	−	1.23061i
$719$	−2.63165	+	0.957841i	−0.0981438	+	0.0357214i	−0.390625	−	0.920550i	$-0.627741\pi$
$719$	−2.63165	+	0.957841i	−0.0981438	+	0.0357214i	0.292482	+	0.956271i	$0.405519\pi$
$720$	−0.676653	+	0.246281i	−0.0252174	+	0.00917837i
$721$	−22.7090	+	17.1817i	−0.845728	+	0.639879i
$722$	17.6102	+	7.13300i	0.655385	+	0.265463i
$723$	−4.64774	−	8.05011i	−0.172851	−	0.299387i
$724$	−3.54275	+	20.0919i	−0.131665	+	0.746711i
$725$	10.5776	+	8.87566i	0.392842	+	0.329634i
$726$	5.02823	+	1.83012i	0.186615	+	0.0679223i
$727$	8.16070	+	6.84764i	0.302664	+	0.253965i	0.781452	−	0.623965i	$-0.214479\pi$
$727$	8.16070	+	6.84764i	0.302664	+	0.253965i	−0.478788	+	0.877930i	$0.658924\pi$
$728$	−10.3269	+	3.17917i	−0.382739	+	0.117828i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$	−7.30986			−0.270550
$731$	16.5932	−	13.9234i	0.613723	−	0.514975i
$732$	−2.94955	+	2.47496i	−0.109018	+	0.0914772i
$733$	−8.35365			−0.308549			−0.154275	−	0.988028i	$-0.549304\pi$
$733$	−8.35365			−0.308549			−0.154275	+	0.988028i	$0.549304\pi$
$734$	9.99491	+	17.3117i	0.368919	+	0.638986i
$735$	2.06804	+	4.59678i	0.0762807	+	0.169555i
$736$	6.75859	+	5.67113i	0.249125	+	0.209041i
$737$	23.3844	+	8.51124i	0.861376	+	0.313515i
$738$	−3.66626	−	3.07635i	−0.134957	−	0.113242i
$739$	4.69680	−	26.6369i	0.172775	−	0.979854i	−0.767906	−	0.640562i	$-0.778701\pi$
$739$	4.69680	−	26.6369i	0.172775	−	0.979854i	0.940681	−	0.339292i	$-0.110187\pi$
$740$	−2.27693	−	3.94376i	−0.0837016	−	0.144975i
$741$	16.6164	+	6.38681i	0.610418	+	0.234625i
$742$	0.718419	+	5.75863i	0.0263740	+	0.211406i
$743$	18.9682	−	6.90387i	0.695877	−	0.253279i	0.0302276	−	0.999543i	$-0.490377\pi$
$743$	18.9682	−	6.90387i	0.695877	−	0.253279i	0.665650	+	0.746264i	$0.268155\pi$
$744$	3.99362	−	1.45356i	0.146413	−	0.0532901i
$745$	1.85345	+	10.5114i	0.0679051	+	0.385109i
$746$	8.90413	−	3.24084i	0.326003	−	0.118656i
$747$	7.38352	−	6.19551i	0.270149	−	0.226682i
$748$	−2.65655	−	4.60127i	−0.0971329	−	0.168239i
$749$	1.75989	+	14.1067i	0.0643049	+	0.515448i
$750$	6.41567	+	2.33511i	0.234267	+	0.0852663i
$751$	−5.03694	−	28.5659i	−0.183801	−	1.04238i	−0.927487	−	0.373856i	$-0.878035\pi$
$751$	−5.03694	−	28.5659i	−0.183801	−	1.04238i	0.743686	−	0.668529i	$-0.233076\pi$
$752$	2.73833	+	4.74292i	0.0998566	+	0.172957i
$753$	−27.6960			−1.00930
$754$	−9.63932	+	8.08835i	−0.351043	+	0.294560i
$755$	1.92722	+	1.61713i	0.0701388	+	0.0588534i
$756$	2.52864	−	0.778452i	0.0919657	−	0.0283120i
$757$	0.589238	−	3.34173i	0.0214162	−	0.121457i	−0.972225	−	0.234046i	$-0.924803\pi$
$757$	0.589238	−	3.34173i	0.0214162	−	0.121457i	0.993642	+	0.112589i	$0.0359144\pi$
$758$	15.8150	+	13.2704i	0.574426	+	0.482001i
$759$	10.4848	−	18.1602i	0.380575	−	0.659175i
$760$	−1.61776	+	2.68972i	−0.0586822	+	0.0975665i
$761$	0.672054	+	1.16403i	0.0243619	+	0.0421961i	0.877949	−	0.478754i	$-0.158911\pi$
$761$	0.672054	+	1.16403i	0.0243619	+	0.0421961i	−0.853587	+	0.520950i	$0.825578\pi$
$762$	−12.2058	+	4.44253i	−0.442168	+	0.160936i
$763$	11.4533	−	17.7116i	0.414636	−	0.641205i
$764$	19.5879	−	16.4362i	0.708667	−	0.594642i
$765$	−0.279517	+	1.58522i	−0.0101060	+	0.0573138i
$766$	−3.59027	−	1.30675i	−0.129722	−	0.0472149i
$767$	25.4671			0.919564
$768$	−1.00000			−0.0360844
$769$	−29.1198	−	10.5987i	−1.05009	−	0.382200i	−0.241390	−	0.970428i	$-0.577603\pi$
$769$	−29.1198	−	10.5987i	−1.05009	−	0.382200i	−0.808695	+	0.588228i	$0.799826\pi$
$770$	−4.32768	+	1.33230i	−0.155959	+	0.0480126i
$771$	7.47776	−	12.9519i	0.269305	−	0.466450i
$772$	−4.88774	+	8.46582i	−0.175914	+	0.304692i
$773$	−1.93462	−	0.704143i	−0.0695833	−	0.0253263i	0.306994	−	0.951711i	$-0.400677\pi$
$773$	−1.93462	−	0.704143i	−0.0695833	−	0.0253263i	−0.376577	+	0.926385i	$0.622899\pi$
$774$	−9.10551	+	3.31413i	−0.327291	+	0.119124i
$775$	−17.8974	−	6.51411i	−0.642892	−	0.233994i
$776$	2.44475	−	13.8648i	0.0877613	−	0.497719i
$777$	7.62511	+	14.8936i	0.273549	+	0.534304i
$778$	16.8174			0.602934
$779$	−20.8582	−	0.373248i	−0.747321	−	0.0133730i
$780$	−1.47039	+	2.54678i	−0.0526483	+	0.0911895i
$781$	3.97669	−	22.5529i	0.142297	−	0.807007i
$782$	18.5331	−	6.74548i	0.662741	−	0.241218i
$783$	2.36029	−	1.98052i	0.0843498	−	0.0707779i
$784$	0.515399	+	6.98100i	0.0184071	+	0.249321i
$785$	−0.440570	−	2.49859i	−0.0157246	−	0.0891786i
$786$	−1.00353	+	1.73817i	−0.0357949	+	0.0619985i
$787$	1.33704	+	2.31582i	0.0476602	+	0.0825499i	0.888871	−	0.458157i	$-0.151490\pi$
$787$	1.33704	+	2.31582i	0.0476602	+	0.0825499i	−0.841211	+	0.540707i	$0.818157\pi$
$788$	−13.9791	+	11.7299i	−0.497985	+	0.417859i
$789$	0.671620	+	3.80895i	0.0239103	+	0.135602i
$790$	2.71169	−	4.69678i	0.0964775	−	0.167104i
$791$	18.9491	−	14.3369i	0.673752	−	0.509762i
$792$	0.412723	+	2.34067i	0.0146655	+	0.0831721i
$793$	−2.73057	+	15.4858i	−0.0969652	+	0.549917i
$794$	−4.83854	−	27.4407i	−0.171713	−	0.973836i
$795$	1.20992	+	1.01525i	0.0429115	+	0.0360070i
$796$	−7.58241	−	6.36240i	−0.268751	−	0.225509i
$797$	−3.86970			−0.137072			−0.0685360	−	0.997649i	$-0.521833\pi$
$797$	−3.86970			−0.137072			−0.0685360	+	0.997649i	$0.521833\pi$
$798$	6.43456	−	9.57060i	0.227781	−	0.338796i
$799$	12.2426			0.433113
$800$	3.43302	+	2.88064i	0.121376	+	0.101846i
$801$	2.64368	+	2.21831i	0.0934097	+	0.0783801i
$802$	−0.740509	−	4.19964i	−0.0261483	−	0.148294i
$803$	−4.18975	+	23.7613i	−0.147853	+	0.838516i
$804$	−1.81812	−	10.3111i	−0.0641201	−	0.363643i
$805$	−2.08083	−	16.6793i	−0.0733396	−	0.587868i
$806$	8.67826	−	15.0312i	0.305679	−	0.529451i
$807$	5.14548	+	29.1815i	0.181129	+	1.02724i
$808$	−6.09403	+	5.11349i	−0.214387	+	0.179892i
$809$	13.3189	+	23.0691i	0.468269	+	0.811066i	0.999342	−	0.0362599i	$-0.0115444\pi$
$809$	13.3189	+	23.0691i	0.468269	+	0.811066i	−0.531073	+	0.847326i	$0.678211\pi$
$810$	0.360039	−	0.623606i	0.0126505	−	0.0219113i
$811$	8.23322	+	46.6929i	0.289108	+	1.63961i	0.690233	+	0.723587i	$0.257508\pi$
$811$	8.23322	+	46.6929i	0.289108	+	1.63961i	−0.401125	+	0.916023i	$0.631381\pi$
$812$	3.71499	+	7.25622i	0.130370	+	0.254643i
$813$	−5.84180	+	4.90185i	−0.204881	+	0.171915i
$814$	−14.1245	+	5.14091i	−0.495065	+	0.180189i
$815$	2.40070	−	13.6150i	0.0840929	−	0.476914i
$816$	−1.11771	+	1.93593i	−0.0391276	+	0.0677711i
$817$	−21.7697	+	36.1948i	−0.761624	+	1.26630i
$818$	31.0868			1.08692
$819$	5.86730	−	9.07336i	0.205020	−	0.317049i
$820$	0.598438	−	3.39391i	0.0208984	−	0.118520i
$821$	−11.7465	−	4.27536i	−0.409954	−	0.149211i	0.128807	−	0.991670i	$-0.458885\pi$
$821$	−11.7465	−	4.27536i	−0.409954	−	0.149211i	−0.538761	+	0.842459i	$0.681107\pi$
$822$	−18.3260	+	6.67011i	−0.639192	+	0.232647i
$823$	44.4105	+	16.1641i	1.54805	+	0.563446i	0.967960	−	0.251104i	$-0.0807935\pi$
$823$	44.4105	+	16.1641i	1.54805	+	0.563446i	0.580094	+	0.814549i	$0.303016\pi$
$824$	−5.38155	+	9.32112i	−0.187475	+	0.324717i
$825$	5.32575	−	9.22447i	0.185419	−	0.321155i
$826$	3.68017	−	16.0829i	0.128049	−	0.559597i
$827$	27.4717	+	9.99888i	0.955284	+	0.347695i	0.772184	−	0.635399i	$-0.219164\pi$
$827$	27.4717	+	9.99888i	0.955284	+	0.347695i	0.183100	+	0.983094i	$0.441387\pi$
$828$	−8.82272			−0.306611
$829$	8.83464			0.306840			0.153420	−	0.988161i	$-0.450971\pi$
$829$	8.83464			0.306840			0.153420	+	0.988161i	$0.450971\pi$
$830$	6.52191	+	2.37378i	0.226379	+	0.0823952i
$831$	2.80124	−	15.8866i	0.0971740	−	0.551101i
$832$	−3.12849	+	2.62512i	−0.108461	+	0.0910096i
$833$	14.0908	+	6.80495i	0.488217	+	0.235778i
$834$	−9.46481	+	3.44491i	−0.327739	+	0.119287i
$835$	1.78674	+	3.09473i	0.0618328	+	0.107097i
$836$	7.81591	+	6.80029i	0.270319	+	0.235193i
$837$	−2.12496	+	3.68054i	−0.0734494	+	0.127218i
$838$	8.03342	+	6.74084i	0.277510	+	0.232859i
$839$	−9.80143	+	55.5867i	−0.338383	+	1.91906i	0.0524932	+	0.998621i	$0.483283\pi$
$839$	−9.80143	+	55.5867i	−0.338383	+	1.91906i	−0.390876	+	0.920443i	$0.627828\pi$
$840$	1.39586	+	1.29660i	0.0481616	+	0.0447370i
$841$	−14.9429	−	12.5386i	−0.515273	−	0.432366i
$842$	−29.4702	+	24.7284i	−1.01561	+	0.852199i
$843$	6.51467			0.224377
$844$	−3.05855	−	5.29757i	−0.105280	−	0.182350i
$845$	0.459988	+	2.60872i	0.0158241	+	0.0897428i
$846$	−5.14637	−	1.87313i	−0.176936	−	0.0643994i
$847$	−1.75260	−	14.0483i	−0.0602201	−	0.482706i
$848$	1.09671	+	1.89957i	0.0376613	+	0.0652313i
$849$	8.51268	−	7.14299i	0.292154	−	0.245147i
$850$	9.41384	−	3.42636i	0.322892	−	0.117523i
$851$	−9.68885	−	54.9482i	−0.332130	−	1.88360i
$852$	−9.05417	+	3.29545i	−0.310191	+	0.112900i
$853$	5.80827	−	2.11404i	0.198871	−	0.0723833i	−0.240664	−	0.970608i	$-0.577365\pi$
$853$	5.80827	−	2.11404i	0.198871	−	0.0723833i	0.439536	+	0.898225i	$0.355143\pi$
$854$	9.38497	+	3.96220i	0.321147	+	0.135584i
$855$	−0.489647	−	3.10032i	−0.0167456	−	0.106029i
$856$	2.68659	+	4.65330i	0.0918256	+	0.159047i
$857$	−7.39960	+	41.9652i	−0.252765	+	1.43350i	0.548979	+	0.835836i	$0.315017\pi$
$857$	−7.39960	+	41.9652i	−0.252765	+	1.43350i	−0.801744	+	0.597667i	$0.796094\pi$
$858$	7.43573	+	6.23932i	0.253852	+	0.213007i
$859$	37.7418	+	13.7369i	1.28773	+	0.468697i	0.892983	−	0.450091i	$-0.148608\pi$
$859$	37.7418	+	13.7369i	1.28773	+	0.468697i	0.394751	+	0.918788i	$0.370831\pi$
$860$	−5.34506	−	4.48503i	−0.182265	−	0.152938i
$861$	−2.82448	+	12.3434i	−0.0962580	+	0.420663i
$862$	−9.95395	−	17.2408i	−0.339033	−	0.587222i
$863$	29.2315			0.995050			0.497525	−	0.867450i	$-0.334242\pi$
$863$	29.2315			0.995050			0.497525	+	0.867450i	$0.334242\pi$
$864$	0.766044	−	0.642788i	0.0260614	−	0.0218681i
$865$	7.55428	−	6.33880i	0.256853	−	0.215526i
$866$	2.67775			0.0909937
$867$	−6.00145	−	10.3948i	−0.203820	−	0.353027i
$868$	−8.23839	−	7.65258i	−0.279629	−	0.259745i
$869$	−13.7130	−	11.5066i	−0.465181	−	0.390334i
$870$	2.08486	+	0.758827i	0.0706833	+	0.0257266i
$871$	−32.7558	−	27.4853i	−1.10989	−	0.931305i
$872$	1.38434	−	7.85098i	0.0468796	−	0.265868i
$873$	7.03937	+	12.1925i	0.238246	+	0.412655i
$874$	−29.8976	+	24.1889i	−1.01130	+	0.818200i
$875$	−2.23620	−	17.9247i	−0.0755974	−	0.605965i
$876$	9.53927	−	3.47201i	0.322302	−	0.117308i
$877$	3.52906	−	1.28447i	0.119168	−	0.0433736i	−0.281748	−	0.959488i	$-0.590914\pi$
$877$	3.52906	−	1.28447i	0.119168	−	0.0433736i	0.400916	+	0.916115i	$0.368692\pi$
$878$	−5.35135	−	30.3490i	−0.180599	−	1.02423i
$879$	−8.73403	+	3.17893i	−0.294592	+	0.107223i
$880$	−1.31106	+	1.10011i	−0.0441958	+	0.0370847i
$881$	5.34678	+	9.26090i	0.180138	+	0.312008i	0.941927	−	0.335817i	$-0.109012\pi$
$881$	5.34678	+	9.26090i	0.180138	+	0.312008i	−0.761790	+	0.647824i	$0.775679\pi$
$882$	−4.88212	−	5.01646i	−0.164390	−	0.168913i
$883$	−2.95857	−	1.07683i	−0.0995639	−	0.0362383i	0.291758	−	0.956492i	$-0.405760\pi$
$883$	−2.95857	−	1.07683i	−0.0995639	−	0.0362383i	−0.391322	+	0.920254i	$0.627982\pi$
$884$	1.58530	+	8.99066i	0.0533193	+	0.302389i
$885$	−2.24517	−	3.88874i	−0.0754704	−	0.130719i
$886$	21.3700			0.717939
$887$	41.0500	−	34.4451i	1.37832	−	1.15655i	0.408497	−	0.912760i	$-0.366053\pi$
$887$	41.0500	−	34.4451i	1.37832	−	1.15655i	0.969828	−	0.243792i	$-0.0783915\pi$
$888$	4.84455	+	4.06506i	0.162573	+	0.136415i
$889$	25.1791	+	23.3887i	0.844479	+	0.784431i
$890$	−0.431524	+	2.44729i	−0.0144647	+	0.0820334i
$891$	−1.82072	−	1.52776i	−0.0609963	−	0.0511820i
$892$	6.35686	−	11.0104i	0.212843	−	0.368656i
$893$	−22.5750	+	7.76211i	−0.755444	+	0.259749i
$894$	−7.41141	−	12.8369i	−0.247874	−	0.429331i
$895$	4.58280	−	1.66800i	0.153186	−	0.0557551i
$896$	1.20572	+	2.35505i	0.0402803	+	0.0786766i
$897$	−27.6018	+	23.1607i	−0.921598	+	0.773312i
$898$	2.66545	−	15.1165i	0.0889473	−	0.504445i
$899$	−12.3049	−	4.47862i	−0.410391	−	0.149370i
$900$	−4.48149			−0.149383
$901$	4.90323			0.163350
$902$	−10.6892	−	3.89053i	−0.355910	−	0.129541i
$903$	18.7836	+	17.4480i	0.625080	+	0.580632i
$904$	4.49053	−	7.77782i	0.149353	−	0.258686i
$905$	7.34548	−	12.7227i	0.244172	−	0.422919i
$906$	−3.28310	−	1.19495i	−0.109074	−	0.0396995i
$907$	7.39398	−	2.69119i	0.245513	−	0.0893594i	−0.216333	−	0.976320i	$-0.569410\pi$
$907$	7.39398	−	2.69119i	0.245513	−	0.0893594i	0.461846	+	0.886960i	$0.347187\pi$
$908$	−21.0424	−	7.65881i	−0.698317	−	0.254167i
$909$	1.38140	−	7.83433i	0.0458183	−	0.259848i
$910$	7.77066	+	0.392120i	0.257595	+	0.0129987i
$911$	−55.7130			−1.84585			−0.922927	−	0.384974i	$-0.874210\pi$
$911$	−55.7130			−1.84585			−0.922927	+	0.384974i	$0.874210\pi$
$912$	0.833597	−	4.27845i	0.0276032	−	0.141674i
$913$	11.4543	−	19.8394i	0.379081	−	0.656588i
$914$	−0.295986	+	1.67862i	−0.00979034	+	0.0555238i
$915$	2.60535	−	0.948272i	0.0861304	−	0.0313489i
$916$	8.12593	−	6.81846i	0.268488	−	0.225288i
$917$	5.30345	+	0.267621i	0.175136	+	0.00883763i
$918$	−0.388176	−	2.20146i	−0.0128117	−	0.0726589i
$919$	−4.62798	+	8.01589i	−0.152663	+	0.264420i	−0.932206	−	0.361929i	$-0.882118\pi$
$919$	−4.62798	+	8.01589i	−0.152663	+	0.264420i	0.779543	+	0.626349i	$0.215452\pi$
$920$	−3.17653	−	5.50190i	−0.104727	−	0.181392i
$921$	−9.00189	+	7.55348i	−0.296622	+	0.248896i
$922$	3.01854	+	17.1190i	0.0994104	+	0.563784i
$923$	−19.6750	+	34.0780i	−0.647609	+	1.12169i
$924$	5.01476	−	3.79417i	0.164973	−	0.124819i
$925$	−4.92144	−	27.9109i	−0.161816	−	0.917704i
$926$	−6.37101	+	36.1318i	−0.209364	+	1.18736i
$927$	−1.86899	−	10.5996i	−0.0613858	−	0.348136i
$928$	2.36029	+	1.98052i	0.0774802	+	0.0650136i
$929$	−38.7794	−	32.5397i	−1.27231	−	1.06759i	−0.994256	−	0.107029i	$-0.965866\pi$
$929$	−38.7794	−	32.5397i	−1.27231	−	1.06759i	−0.278054	−	0.960566i	$-0.589689\pi$
$930$	−3.06028			−0.100351
$931$	−30.2975	−	3.61423i	−0.992960	−	0.118452i
$932$	−2.98854			−0.0978929
$933$	−20.1028	−	16.8682i	−0.658136	−	0.552241i
$934$	−7.57947	−	6.35993i	−0.248008	−	0.208103i
$935$	0.664351	+	3.76772i	0.0217266	+	0.123218i
$936$	0.709172	−	4.02191i	0.0231800	−	0.131460i
$937$	−5.83992	−	33.1199i	−0.190782	−	1.08198i	−0.918299	−	0.395888i	$-0.870437\pi$
$937$	−5.83992	−	33.1199i	−0.190782	−	1.08198i	0.727517	−	0.686090i	$-0.240674\pi$
$938$	−22.0909	+	16.7140i	−0.721294	+	0.545732i
$939$	13.0551	−	22.6120i	0.426036	−	0.737916i
$940$	−0.684803	−	3.88371i	−0.0223358	−	0.126673i
$941$	−14.2259	+	11.9370i	−0.463752	+	0.389134i	−0.844509	−	0.535541i	$-0.820108\pi$
$941$	−14.2259	+	11.9370i	−0.463752	+	0.389134i	0.380757	+	0.924675i	$0.375663\pi$
$942$	1.76171	+	3.05137i	0.0573996	+	0.0994190i
$943$	21.1126	−	36.5681i	0.687520	−	1.19082i
$944$	−1.08285	−	6.14115i	−0.0352438	−	0.199877i
$945$	−1.90273	−	0.0960148i	−0.0618958	−	0.00312336i
$946$	−17.6425	+	14.8038i	−0.573608	+	0.481314i
$947$	−23.7145	+	8.63136i	−0.770616	+	0.280481i	−0.697254	−	0.716824i	$-0.745595\pi$
$947$	−23.7145	+	8.63136i	−0.770616	+	0.280481i	−0.0733621	+	0.997305i	$0.523373\pi$
$948$	−1.30786	+	7.41722i	−0.0424772	+	0.240900i
$949$	20.7291	−	35.9039i	0.672895	−	1.16549i
$950$	−15.1864	+	12.2867i	−0.492713	+	0.398633i
$951$	−23.7599			−0.770467
$952$	5.90684	+	0.298069i	0.191442	+	0.00966048i
$953$	−0.660400	+	3.74532i	−0.0213925	+	0.121323i	−0.993634	−	0.112657i	$-0.964064\pi$
$953$	−0.660400	+	3.74532i	−0.0213925	+	0.121323i	0.972241	+	0.233980i	$0.0751750\pi$
$954$	−2.06115	−	0.750197i	−0.0667322	−	0.0242885i
$955$	−17.3022	+	6.29748i	−0.559885	+	0.203782i
$956$	−26.6063	−	9.68389i	−0.860508	−	0.313199i
$957$	3.66159	−	6.34206i	0.118362	−	0.205010i
$958$	2.92200	−	5.06104i	0.0944054	−	0.163515i
$959$	37.8044	+	35.1163i	1.22077	+	1.13396i
$960$	0.676653	+	0.246281i	0.0218389	+	0.00794870i
$961$	−12.9381			−0.417360
$962$	25.8274			0.832710
$963$	−5.04913	−	1.83773i	−0.162706	−	0.0592201i
$964$	−1.61414	+	9.15425i	−0.0519880	+	0.294839i
$965$	5.39228	−	4.52466i	0.173584	−	0.145654i
$966$	10.6377	+	20.7779i	0.342263	+	0.668518i
$967$	12.7545	−	4.64226i	0.410157	−	0.149285i	−0.128697	−	0.991684i	$-0.541080\pi$
$967$	12.7545	−	4.64226i	0.410157	−	0.149285i	0.538854	+	0.842399i	$0.318857\pi$
$968$	−2.67546	−	4.63404i	−0.0859927	−	0.148944i
$969$	−7.35105	−	6.39584i	−0.236150	−	0.205464i
$970$	−5.06890	+	8.77959i	−0.162753	+	0.281896i
$971$	24.3440	+	20.4270i	0.781235	+	0.655534i	0.943559	−	0.331203i	$-0.107455\pi$
$971$	24.3440	+	20.4270i	0.781235	+	0.655534i	−0.162324	+	0.986737i	$0.551899\pi$
$972$	−0.173648	+	0.984808i	−0.00556977	+	0.0315877i
$973$	19.5248	+	18.1365i	0.625937	+	0.581428i
$974$	1.98510	+	1.66570i	0.0636067	+	0.0533724i
$975$	−14.0203	+	11.7644i	−0.449009	+	0.376763i
$976$	3.85036			0.123247
$977$	−2.60552	−	4.51290i	−0.0833580	−	0.144380i	0.821332	−	0.570450i	$-0.193231\pi$
$977$	−2.60552	−	4.51290i	−0.0833580	−	0.144380i	−0.904690	+	0.426070i	$0.859898\pi$
$978$	3.33394	+	18.9077i	0.106608	+	0.604602i
$979$	7.70777	+	2.80540i	0.246341	+	0.0896609i
$980$	1.37054	−	4.85065i	0.0437804	−	0.154948i
$981$	3.98605	+	6.90403i	0.127265	+	0.220429i
$982$	5.23214	−	4.39028i	0.166964	−	0.140100i
$983$	−38.8610	+	14.1442i	−1.23947	+	0.451131i	−0.876832	−	0.480797i	$-0.840347\pi$
$983$	−38.8610	+	14.1442i	−1.23947	+	0.451131i	−0.362642	+	0.931929i	$0.618125\pi$
$984$	0.831073	+	4.71325i	0.0264936	+	0.150253i
$985$	12.3479	−	4.49425i	0.393435	−	0.143199i
$986$	6.47225	−	2.35571i	0.206119	−	0.0750210i
$987$	1.79378	+	14.3784i	0.0570967	+	0.457670i
$988$	−8.62353	−	15.5734i	−0.274351	−	0.495455i
$989$	−42.7455	−	74.0374i	−1.35923	−	2.35425i
$990$	0.297193	−	1.68547i	0.00944542	−	0.0535676i
$991$	−22.1468	−	18.5834i	−0.703517	−	0.590321i	0.219255	−	0.975668i	$-0.429637\pi$
$991$	−22.1468	−	18.5834i	−0.703517	−	0.590321i	−0.922772	+	0.385347i	$0.874082\pi$
$992$	−3.99362	−	1.45356i	−0.126798	−	0.0461506i
$993$	−3.18521	−	2.67271i	−0.101080	−	0.0848158i
$994$	18.6777	+	17.3496i	0.592421	+	0.550296i
$995$	3.56372	+	6.17254i	0.112977	+	0.195683i
$996$	−9.63849			−0.305407
$997$	−31.9300	+	26.7925i	−1.01123	+	0.848525i	−0.988501	−	0.151216i	$-0.951681\pi$
$997$	−31.9300	+	26.7925i	−1.01123	+	0.848525i	−0.0227326	+	0.999742i	$0.507237\pi$
$998$	−0.872360	+	0.731997i	−0.0276141	+	0.0231710i
$999$	−6.32412			−0.200086

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.bp.e.613.4	yes	42
7.2	even	3		798.2.bq.f.499.4	yes	42
19.4	even	9		798.2.bq.f.403.4	yes	42
133.23	even	9	inner	798.2.bp.e.289.4	✓	42

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bp.e.289.4	✓	42	133.23	even	9	inner
798.2.bp.e.613.4	yes	42	1.1	even	1	trivial
798.2.bq.f.403.4	yes	42	19.4	even	9
798.2.bq.f.499.4	yes	42	7.2	even	3

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.bp (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 - 0.642788i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.125040 - 0.709139i) q^{5} +(0.173648 + 0.984808i) q^{6} +(2.10990 - 1.59635i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})\)	\(q+(-0.766044 - 0.642788i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.125040 - 0.709139i) q^{5} +(0.173648 + 0.984808i) q^{6} +(2.10990 - 1.59635i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-0.551612 + 0.462858i) q^{10} +(1.18839 + 2.05835i) q^{11} +(0.500000 - 0.866025i) q^{12} +(-0.709172 - 4.02191i) q^{13} +(-2.64239 - 0.133339i) q^{14} +(-0.551612 + 0.462858i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.388176 + 2.20146i) q^{17} +(0.500000 - 0.866025i) q^{18} +(-0.679990 - 4.30553i) q^{19} +0.720079 q^{20} +(-2.64239 - 0.133339i) q^{21} +(0.412723 - 2.34067i) q^{22} +(8.29064 + 3.01755i) q^{23} +(-0.939693 + 0.342020i) q^{24} +(4.21122 + 1.53276i) q^{25} +(-2.04198 + 3.53681i) q^{26} +(0.500000 - 0.866025i) q^{27} +(1.93848 + 1.80064i) q^{28} +(2.89532 + 1.05381i) q^{29} +0.720079 q^{30} -4.24992 q^{31} +(0.939693 + 0.342020i) q^{32} +(0.412723 - 2.34067i) q^{33} +(1.71243 - 1.43690i) q^{34} +(-0.868213 - 1.69582i) q^{35} +(-0.939693 + 0.342020i) q^{36} +(-3.16206 - 5.47685i) q^{37} +(-2.24664 + 3.73532i) q^{38} +(-2.04198 + 3.53681i) q^{39} +(-0.551612 - 0.462858i) q^{40} +(0.831073 - 4.71325i) q^{41} +(1.93848 + 1.80064i) q^{42} +(-7.42288 - 6.22853i) q^{43} +(-1.82072 + 1.52776i) q^{44} +0.720079 q^{45} +(-4.41136 - 7.64070i) q^{46} +(-0.951012 - 5.39345i) q^{47} +(0.939693 + 0.342020i) q^{48} +(1.90333 - 6.73627i) q^{49} +(-2.24074 - 3.88108i) q^{50} +(1.71243 - 1.43690i) q^{51} +(3.83767 - 1.39680i) q^{52} +(-0.380885 - 2.16011i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(1.60825 - 0.585356i) q^{55} +(-0.327532 - 2.62540i) q^{56} +(-2.24664 + 3.73532i) q^{57} +(-1.54057 - 2.66834i) q^{58} +(-1.08285 + 6.14115i) q^{59} +(-0.551612 - 0.462858i) q^{60} +(-3.61815 - 1.31690i) q^{61} +(3.25563 + 2.73180i) q^{62} +(1.93848 + 1.80064i) q^{63} +(-0.500000 - 0.866025i) q^{64} -2.94077 q^{65} +(-1.82072 + 1.52776i) q^{66} +(8.02059 - 6.73007i) q^{67} -2.23542 q^{68} +(-4.41136 - 7.64070i) q^{69} +(-0.424961 + 1.85715i) q^{70} +(-7.38102 - 6.19341i) q^{71} +(0.939693 + 0.342020i) q^{72} +(7.77648 + 6.52524i) q^{73} +(-1.09817 + 6.22804i) q^{74} +(-2.24074 - 3.88108i) q^{75} +(4.12204 - 1.41731i) q^{76} +(5.79323 + 2.44582i) q^{77} +(3.83767 - 1.39680i) q^{78} +(-7.07743 + 2.57597i) q^{79} +(0.125040 + 0.709139i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(-3.66626 + 3.07635i) q^{82} +(-4.81925 - 8.34718i) q^{83} +(-0.327532 - 2.62540i) q^{84} +(1.51260 + 0.550542i) q^{85} +(1.68263 + 9.54267i) q^{86} +(-1.54057 - 2.66834i) q^{87} +2.37678 q^{88} +(2.64368 - 2.21831i) q^{89} +(-0.551612 - 0.462858i) q^{90} +(-7.91667 - 7.35373i) q^{91} +(-1.53205 + 8.68868i) q^{92} +(3.25563 + 2.73180i) q^{93} +(-2.73833 + 4.74292i) q^{94} +(-3.13825 - 0.0561576i) q^{95} +(-0.500000 - 0.866025i) q^{96} +(13.2297 - 4.81521i) q^{97} +(-5.78802 + 3.93685i) q^{98} +(-1.82072 + 1.52776i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 42 q - 6 q^{5} + 6 q^{7} + 21 q^{8}+O(q^{10}) \) 42 * q - 6 * q^5 + 6 * q^7 + 21 * q^8	\( 42 q - 6 q^{5} + 6 q^{7} + 21 q^{8} - 3 q^{10} - 9 q^{11} + 21 q^{12} + 3 q^{14} - 3 q^{15} - 6 q^{17} + 21 q^{18} + 18 q^{20} + 3 q^{21} + 3 q^{22} + 3 q^{23} + 18 q^{25} - 3 q^{26} + 21 q^{27} + 6 q^{28} + 15 q^{29} + 18 q^{30} - 6 q^{31} + 3 q^{33} - 3 q^{34} - 12 q^{35} + 21 q^{37} + 15 q^{38} - 3 q^{39} - 3 q^{40} + 9 q^{41} + 6 q^{42} - 12 q^{44} + 18 q^{45} + 12 q^{46} + 15 q^{47} + 30 q^{50} - 3 q^{51} + 9 q^{52} - 36 q^{53} - 27 q^{55} - 6 q^{56} + 15 q^{57} - 18 q^{58} - 3 q^{60} - 9 q^{61} - 6 q^{62} + 6 q^{63} - 21 q^{64} - 24 q^{65} - 12 q^{66} - 3 q^{67} + 12 q^{68} + 12 q^{69} - 24 q^{70} - 6 q^{71} - 15 q^{73} + 12 q^{74} + 30 q^{75} - 6 q^{76} + 21 q^{77} + 9 q^{78} + 21 q^{79} - 6 q^{80} - 18 q^{83} - 6 q^{84} - 30 q^{85} + 9 q^{86} - 18 q^{87} - 18 q^{88} + 12 q^{89} - 3 q^{90} - 18 q^{91} - 24 q^{92} - 6 q^{93} + 24 q^{94} - 27 q^{95} - 21 q^{96} - 3 q^{97} + 24 q^{98} - 12 q^{99}+O(q^{100}) \) 42 * q - 6 * q^5 + 6 * q^7 + 21 * q^8 - 3 * q^10 - 9 * q^11 + 21 * q^12 + 3 * q^14 - 3 * q^15 - 6 * q^17 + 21 * q^18 + 18 * q^20 + 3 * q^21 + 3 * q^22 + 3 * q^23 + 18 * q^25 - 3 * q^26 + 21 * q^27 + 6 * q^28 + 15 * q^29 + 18 * q^30 - 6 * q^31 + 3 * q^33 - 3 * q^34 - 12 * q^35 + 21 * q^37 + 15 * q^38 - 3 * q^39 - 3 * q^40 + 9 * q^41 + 6 * q^42 - 12 * q^44 + 18 * q^45 + 12 * q^46 + 15 * q^47 + 30 * q^50 - 3 * q^51 + 9 * q^52 - 36 * q^53 - 27 * q^55 - 6 * q^56 + 15 * q^57 - 18 * q^58 - 3 * q^60 - 9 * q^61 - 6 * q^62 + 6 * q^63 - 21 * q^64 - 24 * q^65 - 12 * q^66 - 3 * q^67 + 12 * q^68 + 12 * q^69 - 24 * q^70 - 6 * q^71 - 15 * q^73 + 12 * q^74 + 30 * q^75 - 6 * q^76 + 21 * q^77 + 9 * q^78 + 21 * q^79 - 6 * q^80 - 18 * q^83 - 6 * q^84 - 30 * q^85 + 9 * q^86 - 18 * q^87 - 18 * q^88 + 12 * q^89 - 3 * q^90 - 18 * q^91 - 24 * q^92 - 6 * q^93 + 24 * q^94 - 27 * q^95 - 21 * q^96 - 3 * q^97 + 24 * q^98 - 12 * q^99

Introduction

L-functions

Modular forms

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