LMFDB - Embedded newform 418.2.q.a.109.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(21,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 1]))

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

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

chi := DirichletCharacter("418.21");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.q (of order $18$, 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:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			109.3
Character	$\chi$	$=$	418.109
Dual form			418.2.q.a.395.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(-1.85347 - 0.326818i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.99121 + 2.50992i) q^{5} +(-1.85347 + 0.326818i) q^{6} +(-4.29605 + 2.48032i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.509479 + 0.185435i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(-1.85347 - 0.326818i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.99121 + 2.50992i) q^{5} +(-1.85347 + 0.326818i) q^{6} +(-4.29605 + 2.48032i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.509479 + 0.185435i) q^{9} +(3.66926 + 1.33550i) q^{10} +(-0.0637507 + 3.31601i) q^{11} +(-1.62992 + 0.941034i) q^{12} +(0.575770 + 3.26535i) q^{13} +(-3.18864 + 3.80008i) q^{14} +(-4.72385 - 5.62966i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-1.30749 - 3.59231i) q^{17} +0.542177 q^{18} +(-3.35713 + 2.78023i) q^{19} +3.90475 q^{20} +(8.77323 - 3.19319i) q^{21} +(1.07424 + 3.13784i) q^{22} +(2.41404 - 2.02562i) q^{23} +(-1.20977 + 1.44175i) q^{24} +(1.77938 + 10.0914i) q^{25} +(1.65786 + 2.87150i) q^{26} +(4.00605 + 2.31289i) q^{27} +(-1.69664 + 4.66148i) q^{28} +(2.95150 + 1.07426i) q^{29} +(-6.36442 - 3.67450i) q^{30} +(7.43197 - 4.29085i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(1.20189 - 6.12531i) q^{33} +(-2.45729 - 2.92848i) q^{34} +(-19.0758 - 3.36358i) q^{35} +(0.509479 - 0.185435i) q^{36} +8.09980i q^{37} +(-2.20378 + 3.76077i) q^{38} -6.24042i q^{39} +(3.66926 - 1.33550i) q^{40} +(0.510060 - 2.89270i) q^{41} +(7.15200 - 6.00124i) q^{42} +(-0.389099 + 0.463710i) q^{43} +(2.08266 + 2.58119i) q^{44} +(1.05853 + 1.83343i) q^{45} +(1.57565 - 2.72911i) q^{46} +(-2.23710 - 0.814238i) q^{47} +(-0.643705 + 1.76856i) q^{48} +(8.80402 - 15.2490i) q^{49} +(5.12353 + 8.87422i) q^{50} +(1.24938 + 7.08557i) q^{51} +(2.53999 + 2.13131i) q^{52} +(0.159701 + 0.190324i) q^{53} +(4.55551 + 0.803260i) q^{54} +(-8.51363 + 9.75888i) q^{55} +4.96065i q^{56} +(7.13099 - 4.05591i) q^{57} +3.14092 q^{58} +(-1.44985 - 3.98344i) q^{59} +(-7.23735 - 1.27614i) q^{60} +(-4.63098 - 5.51898i) q^{61} +(5.51621 - 6.57396i) q^{62} +(-2.64869 + 0.467035i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-6.47354 + 11.2125i) q^{65} +(-0.965571 - 6.16698i) q^{66} +(-4.36431 + 11.9908i) q^{67} +(-3.31069 - 1.91143i) q^{68} +(-5.13636 + 2.96548i) q^{69} +(-19.0758 + 3.36358i) q^{70} +(4.50547 - 5.36941i) q^{71} +(0.415331 - 0.348504i) q^{72} +(-0.781937 - 0.137877i) q^{73} +(2.77029 + 7.61132i) q^{74} -19.2857i q^{75} +(-0.784617 + 4.28770i) q^{76} +(-7.95091 - 14.4039i) q^{77} +(-2.13435 - 5.86408i) q^{78} +(1.02327 - 5.80323i) q^{79} +(2.99121 - 2.50992i) q^{80} +(-7.91521 - 6.64165i) q^{81} +(-0.510060 - 2.89270i) q^{82} +(6.08205 - 3.51147i) q^{83} +(4.66814 - 8.08545i) q^{84} +(5.10544 - 14.0271i) q^{85} +(-0.207035 + 0.568825i) q^{86} +(-5.11944 - 2.95571i) q^{87} +(2.83988 + 1.71322i) q^{88} +(10.5907 - 1.86743i) q^{89} +(1.62176 + 1.36082i) q^{90} +(-10.5727 - 12.6000i) q^{91} +(0.547217 - 3.10342i) q^{92} +(-15.1773 + 5.52408i) q^{93} -2.38067 q^{94} +(-17.0201 - 0.109900i) q^{95} +1.88207i q^{96} +(0.629666 + 1.72999i) q^{97} +(3.05760 - 17.3405i) q^{98} +(-0.647385 + 1.67762i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - 3 q^{3} - 3 q^{6} - 18 q^{7} + 30 q^{8} - 3 q^{9}+O(q^{10}) $ 60 * q - 3 * q^3 - 3 * q^6 - 18 * q^7 + 30 * q^8 - 3 * q^9	$ 60 q - 3 q^{3} - 3 q^{6} - 18 q^{7} + 30 q^{8} - 3 q^{9} + 3 q^{11} + 6 q^{13} - 12 q^{14} + 24 q^{15} - 6 q^{17} + 60 q^{18} - 30 q^{19} - 12 q^{20} + 12 q^{21} + 12 q^{22} + 3 q^{24} - 12 q^{25} + 6 q^{26} + 9 q^{27} + 6 q^{28} - 3 q^{29} - 9 q^{31} - 42 q^{33} - 6 q^{34} - 24 q^{35} - 3 q^{36} + 6 q^{38} + 15 q^{41} + 6 q^{42} - 3 q^{43} + 12 q^{44} - 48 q^{45} + 3 q^{46} + 54 q^{47} - 6 q^{48} + 6 q^{49} + 36 q^{50} - 45 q^{51} - 3 q^{52} + 24 q^{53} - 27 q^{54} + 6 q^{55} + 30 q^{57} + 24 q^{58} - 39 q^{59} + 12 q^{60} + 54 q^{61} - 66 q^{63} - 30 q^{64} - 63 q^{66} + 9 q^{67} - 27 q^{68} + 54 q^{69} - 24 q^{70} - 33 q^{71} - 6 q^{72} + 12 q^{74} + 18 q^{77} + 36 q^{79} - 93 q^{81} - 15 q^{82} - 36 q^{83} + 24 q^{84} - 60 q^{85} - 3 q^{86} + 54 q^{87} - 3 q^{88} - 3 q^{89} - 24 q^{90} - 12 q^{91} - 102 q^{93} - 12 q^{94} + 24 q^{95} - 6 q^{97} - 18 q^{98} - 78 q^{99}+O(q^{100}) $ 60 * q - 3 * q^3 - 3 * q^6 - 18 * q^7 + 30 * q^8 - 3 * q^9 + 3 * q^11 + 6 * q^13 - 12 * q^14 + 24 * q^15 - 6 * q^17 + 60 * q^18 - 30 * q^19 - 12 * q^20 + 12 * q^21 + 12 * q^22 + 3 * q^24 - 12 * q^25 + 6 * q^26 + 9 * q^27 + 6 * q^28 - 3 * q^29 - 9 * q^31 - 42 * q^33 - 6 * q^34 - 24 * q^35 - 3 * q^36 + 6 * q^38 + 15 * q^41 + 6 * q^42 - 3 * q^43 + 12 * q^44 - 48 * q^45 + 3 * q^46 + 54 * q^47 - 6 * q^48 + 6 * q^49 + 36 * q^50 - 45 * q^51 - 3 * q^52 + 24 * q^53 - 27 * q^54 + 6 * q^55 + 30 * q^57 + 24 * q^58 - 39 * q^59 + 12 * q^60 + 54 * q^61 - 66 * q^63 - 30 * q^64 - 63 * q^66 + 9 * q^67 - 27 * q^68 + 54 * q^69 - 24 * q^70 - 33 * q^71 - 6 * q^72 + 12 * q^74 + 18 * q^77 + 36 * q^79 - 93 * q^81 - 15 * q^82 - 36 * q^83 + 24 * q^84 - 60 * q^85 - 3 * q^86 + 54 * q^87 - 3 * q^88 - 3 * q^89 - 24 * q^90 - 12 * q^91 - 102 * q^93 - 12 * q^94 + 24 * q^95 - 6 * q^97 - 18 * q^98 - 78 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

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 $

$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$3$	−1.85347	−	0.326818i	−1.07010	−	0.188688i	−0.389268	−	0.921124i	$-0.627272\pi$
$3$	−1.85347	−	0.326818i	−1.07010	−	0.188688i	−0.680836	+	0.732436i	$0.738383\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	2.99121	+	2.50992i	1.33771	+	1.12247i	0.982208	+	0.187797i	$0.0601346\pi$
$5$	2.99121	+	2.50992i	1.33771	+	1.12247i	0.355502	+	0.934675i	$0.384310\pi$
$6$	−1.85347	+	0.326818i	−0.756678	+	0.133423i
$7$	−4.29605	+	2.48032i	−1.62375	+	0.937474i	−0.637850	+	0.770161i	$0.720176\pi$
$7$	−4.29605	+	2.48032i	−1.62375	+	0.937474i	−0.985904	+	0.167314i	$0.946491\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	0.509479	+	0.185435i	0.169826	+	0.0618118i
$10$	3.66926	+	1.33550i	1.16032	+	0.422323i
$11$	−0.0637507	+	3.31601i	−0.0192216	+	0.999815i
$11$	−0.0637507	+	3.31601i	−0.0192216	+	0.999815i
$12$	−1.62992	+	0.941034i	−0.470517	+	0.271653i
$13$	0.575770	+	3.26535i	0.159690	+	0.905646i	0.954372	+	0.298620i	$0.0965264\pi$
$13$	0.575770	+	3.26535i	0.159690	+	0.905646i	−0.794682	+	0.607026i	$0.792362\pi$
$14$	−3.18864	+	3.80008i	−0.852201	+	1.01561i
$15$	−4.72385	−	5.62966i	−1.21969	−	1.45357i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−1.30749	−	3.59231i	−0.317114	−	0.871263i	−0.991172	−	0.132585i	$-0.957672\pi$
$17$	−1.30749	−	3.59231i	−0.317114	−	0.871263i	0.674058	−	0.738679i	$-0.264550\pi$
$18$	0.542177			0.127792
$19$	−3.35713	+	2.78023i	−0.770179	+	0.637828i
$19$	−3.35713	+	2.78023i	−0.770179	+	0.637828i
$20$	3.90475			0.873128
$21$	8.77323	−	3.19319i	1.91448	−	0.696812i
$22$	1.07424	+	3.13784i	0.229028	+	0.668989i
$23$	2.41404	−	2.02562i	0.503361	−	0.422370i	−0.355425	−	0.934705i	$-0.615664\pi$
$23$	2.41404	−	2.02562i	0.503361	−	0.422370i	0.858786	+	0.512335i	$0.171219\pi$
$24$	−1.20977	+	1.44175i	−0.246943	+	0.294295i
$25$	1.77938	+	10.0914i	0.355877	+	2.01828i
$26$	1.65786	+	2.87150i	0.325134	+	0.563148i
$27$	4.00605	+	2.31289i	0.770965	+	0.445117i
$28$	−1.69664	+	4.66148i	−0.320635	+	0.880938i
$29$	2.95150	+	1.07426i	0.548079	+	0.199485i	0.601193	−	0.799104i	$-0.294692\pi$
$29$	2.95150	+	1.07426i	0.548079	+	0.199485i	−0.0531135	+	0.998588i	$0.516915\pi$
$30$	−6.36442	−	3.67450i	−1.16198	−	0.670869i
$31$	7.43197	−	4.29085i	1.33482	−	0.770659i	0.348787	−	0.937202i	$-0.386594\pi$
$31$	7.43197	−	4.29085i	1.33482	−	0.770659i	0.986034	+	0.166543i	$0.0532603\pi$
$32$	−0.173648	−	0.984808i	−0.0306970	−	0.174091i
$33$	1.20189	−	6.12531i	0.209222	−	1.06628i
$34$	−2.45729	−	2.92848i	−0.421421	−	0.502230i
$35$	−19.0758	−	3.36358i	−3.22440	−	0.568549i
$36$	0.509479	−	0.185435i	0.0849132	−	0.0309059i
$37$			8.09980i			1.33160i	0.746131	+	0.665799i	$0.231909\pi$
$37$			8.09980i			1.33160i	−0.746131	+	0.665799i	$0.768091\pi$
$38$	−2.20378	+	3.76077i	−0.357500	+	0.610077i
$39$		−	6.24042i		−	0.999267i
$40$	3.66926	−	1.33550i	0.580162	−	0.211162i
$41$	0.510060	−	2.89270i	0.0796580	−	0.451763i	−0.918724	−	0.394900i	$-0.870779\pi$
$41$	0.510060	−	2.89270i	0.0796580	−	0.451763i	0.998382	−	0.0568629i	$-0.0181098\pi$
$42$	7.15200	−	6.00124i	1.10358	−	0.926012i
$43$	−0.389099	+	0.463710i	−0.0593371	+	0.0707152i	−0.794897	−	0.606745i	$-0.792475\pi$
$43$	−0.389099	+	0.463710i	−0.0593371	+	0.0707152i	0.735559	+	0.677460i	$0.236919\pi$
$44$	2.08266	+	2.58119i	0.313972	+	0.389129i
$45$	1.05853	+	1.83343i	0.157797	+	0.273312i
$46$	1.57565	−	2.72911i	0.232317	−	0.402385i
$47$	−2.23710	−	0.814238i	−0.326315	−	0.118769i	0.173668	−	0.984804i	$-0.444438\pi$
$47$	−2.23710	−	0.814238i	−0.326315	−	0.118769i	−0.499983	+	0.866035i	$0.666660\pi$
$48$	−0.643705	+	1.76856i	−0.0929108	+	0.255270i
$49$	8.80402	−	15.2490i	1.25772	−	2.17843i
$50$	5.12353	+	8.87422i	0.724577	+	1.25500i
$51$	1.24938	+	7.08557i	0.174948	+	0.992178i
$52$	2.53999	+	2.13131i	0.352234	+	0.295559i
$53$	0.159701	+	0.190324i	0.0219366	+	0.0261430i	0.776901	−	0.629623i	$-0.216790\pi$
$53$	0.159701	+	0.190324i	0.0219366	+	0.0261430i	−0.754965	+	0.655766i	$0.772346\pi$
$54$	4.55551	+	0.803260i	0.619927	+	0.109310i
$55$	−8.51363	+	9.75888i	−1.14798	+	1.31589i
$56$			4.96065i			0.662895i
$57$	7.13099	−	4.05591i	0.944522	−	0.537218i
$58$	3.14092			0.412423
$59$	−1.44985	−	3.98344i	−0.188755	−	0.518600i	0.808831	−	0.588041i	$-0.200101\pi$
$59$	−1.44985	−	3.98344i	−0.188755	−	0.518600i	−0.997586	+	0.0694412i	$0.977878\pi$
$60$	−7.23735	−	1.27614i	−0.934338	−	0.164749i
$61$	−4.63098	−	5.51898i	−0.592936	−	0.706633i	0.383232	−	0.923652i	$-0.374811\pi$
$61$	−4.63098	−	5.51898i	−0.592936	−	0.706633i	−0.976167	+	0.217019i	$0.930367\pi$
$62$	5.51621	−	6.57396i	0.700559	−	0.834894i
$63$	−2.64869	+	0.467035i	−0.333703	+	0.0588409i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−6.47354	+	11.2125i	−0.802944	+	1.39074i
$66$	−0.965571	−	6.16698i	−0.118854	−	0.759103i
$67$	−4.36431	+	11.9908i	−0.533185	+	1.46491i	0.322075	+	0.946714i	$0.395620\pi$
$67$	−4.36431	+	11.9908i	−0.533185	+	1.46491i	−0.855260	+	0.518199i	$0.826603\pi$
$68$	−3.31069	−	1.91143i	−0.401480	−	0.231795i
$69$	−5.13636	+	2.96548i	−0.618345	+	0.357002i
$70$	−19.0758	+	3.36358i	−2.28000	+	0.402025i
$71$	4.50547	−	5.36941i	0.534701	−	0.637232i	−0.429290	−	0.903167i	$-0.641236\pi$
$71$	4.50547	−	5.36941i	0.534701	−	0.637232i	0.963991	+	0.265935i	$0.0856806\pi$
$72$	0.415331	−	0.348504i	0.0489473	−	0.0410716i
$73$	−0.781937	−	0.137877i	−0.0915187	−	0.0161372i	0.127701	−	0.991813i	$-0.459240\pi$
$73$	−0.781937	−	0.137877i	−0.0915187	−	0.0161372i	−0.219220	+	0.975675i	$0.570351\pi$
$74$	2.77029	+	7.61132i	0.322040	+	0.884798i
$75$		−	19.2857i		−	2.22692i
$76$	−0.784617	+	4.28770i	−0.0900017	+	0.491833i
$77$	−7.95091	−	14.4039i	−0.906090	−	1.64147i
$78$	−2.13435	−	5.86408i	−0.241667	−	0.663976i
$79$	1.02327	−	5.80323i	0.115126	−	0.652914i	−0.871561	−	0.490287i	$-0.836892\pi$
$79$	1.02327	−	5.80323i	0.115126	−	0.652914i	0.986688	−	0.162628i	$-0.0519969\pi$
$80$	2.99121	−	2.50992i	0.334428	−	0.280618i
$81$	−7.91521	−	6.64165i	−0.879468	−	0.737961i
$82$	−0.510060	−	2.89270i	−0.0563267	−	0.319445i
$83$	6.08205	−	3.51147i	0.667592	−	0.385434i	−0.127572	−	0.991829i	$-0.540718\pi$
$83$	6.08205	−	3.51147i	0.667592	−	0.385434i	0.795164	+	0.606395i	$0.207385\pi$
$84$	4.66814	−	8.08545i	0.509335	−	0.882195i
$85$	5.10544	−	14.0271i	0.553762	−	1.52145i
$86$	−0.207035	+	0.568825i	−0.0223252	+	0.0613380i
$87$	−5.11944	−	2.95571i	−0.548862	−	0.316885i
$88$	2.83988	+	1.71322i	0.302732	+	0.182629i
$89$	10.5907	−	1.86743i	1.12261	−	0.197947i	0.418626	−	0.908159i	$-0.362512\pi$
$89$	10.5907	−	1.86743i	1.12261	−	0.197947i	0.703988	+	0.710212i	$0.251401\pi$
$90$	1.62176	+	1.36082i	0.170949	+	0.143443i
$91$	−10.5727	−	12.6000i	−1.10832	−	1.32084i
$92$	0.547217	−	3.10342i	0.0570514	−	0.323554i
$93$	−15.1773	+	5.52408i	−1.57381	+	0.572821i
$94$	−2.38067			−0.245548
$95$	−17.0201	−	0.109900i	−1.74622	−	0.0112755i
$96$			1.88207i			0.192088i
$97$	0.629666	+	1.72999i	0.0639329	+	0.175654i	0.967546	−	0.252696i	$-0.0813172\pi$
$97$	0.629666	+	1.72999i	0.0639329	+	0.175654i	−0.903613	+	0.428350i	$0.859095\pi$
$98$	3.05760	−	17.3405i	0.308865	−	1.75166i
$99$	−0.647385	+	1.67762i	−0.0650647	+	0.168607i
$100$	7.84971	+	6.58669i	0.784971	+	0.658669i
$101$	−5.42591	+	0.956733i	−0.539898	+	0.0951985i	−0.436946	−	0.899488i	$-0.643940\pi$
$101$	−5.42591	+	0.956733i	−0.539898	+	0.0951985i	−0.102952	+	0.994686i	$0.532829\pi$
$102$	3.59744	+	6.23094i	0.356199	+	0.616955i
$103$	−7.05116	−	4.07099i	−0.694771	−	0.401126i	0.110626	−	0.993862i	$-0.464715\pi$
$103$	−7.05116	−	4.07099i	−0.694771	−	0.401126i	−0.805397	+	0.592736i	$0.798048\pi$
$104$	3.11576	+	1.13405i	0.305526	+	0.111202i
$105$	34.2572	+	12.4686i	3.34317	+	1.21681i
$106$	0.215164	+	0.124225i	0.0208986	+	0.0120658i
$107$	4.65372	+	8.06047i	0.449892	+	0.779235i	0.998379	−	0.0569238i	$-0.0181292\pi$
$107$	4.65372	+	8.06047i	0.449892	+	0.779235i	−0.548487	+	0.836159i	$0.684796\pi$
$108$	4.55551	−	0.803260i	0.438354	−	0.0772937i
$109$	6.06132	+	5.08605i	0.580569	+	0.487155i	0.885134	−	0.465336i	$-0.154067\pi$
$109$	6.06132	+	5.08605i	0.580569	+	0.487155i	−0.304565	+	0.952492i	$0.598511\pi$
$110$	−4.66246	+	12.0822i	−0.444548	+	1.15199i
$111$	2.64716	−	15.0128i	0.251257	−	1.42495i
$112$	1.69664	+	4.66148i	0.160318	+	0.440469i
$113$		−	0.942806i		−	0.0886917i	−0.999016	−	0.0443459i	$-0.985880\pi$
$113$		−	0.942806i		−	0.0886917i	0.999016	−	0.0443459i	$-0.0141204\pi$
$114$	5.31373	−	6.25025i	0.497677	−	0.585389i
$115$	12.3050			1.14745
$116$	2.95150	−	1.07426i	0.274040	−	0.0997423i
$117$	−0.312169	+	1.77040i	−0.0288600	+	0.163673i
$118$	−2.72483	−	3.24733i	−0.250841	−	0.298941i
$119$	14.5272	+	12.1897i	1.33170	+	1.11743i
$120$	−7.23735	+	1.27614i	−0.660677	+	0.116495i
$121$	−10.9919	−	0.422796i	−0.999261	−	0.0384360i
$122$	−6.23930	−	3.60226i	−0.564880	−	0.326133i
$123$	−1.89077	+	5.19484i	−0.170485	+	0.468403i
$124$	2.93511	−	8.06416i	0.263581	−	0.724183i
$125$	−10.2442	+	17.7435i	−0.916272	+	1.58703i
$126$	−2.32922	+	1.34477i	−0.207503	+	0.119802i
$127$	−0.107993	−	0.612456i	−0.00958279	−	0.0543467i	0.979641	−	0.200755i	$-0.0643396\pi$
$127$	−0.107993	−	0.612456i	−0.00958279	−	0.0543467i	−0.989224	+	0.146409i	$0.953229\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	0.872734	−	0.732311i	0.0768400	−	0.0644764i
$130$	−2.24824	+	12.7504i	−0.197183	+	1.11828i
$131$	7.22964	+	19.8633i	0.631656	+	1.73546i	0.676475	+	0.736466i	$0.263507\pi$
$131$	7.22964	+	19.8633i	0.631656	+	1.73546i	−0.0448183	+	0.998995i	$0.514271\pi$
$132$	−3.01657	−	5.46482i	−0.262559	−	0.475651i
$133$	7.52653	−	20.2708i	0.652633	−	1.75770i
$134$			12.7604i			1.10233i
$135$	6.17775	+	16.9732i	0.531696	+	1.46082i
$136$	−3.76478	−	0.663832i	−0.322827	−	0.0569231i
$137$	−14.4634	+	12.1363i	−1.23570	+	1.03687i	−0.237848	+	0.971302i	$0.576442\pi$
$137$	−14.4634	+	12.1363i	−1.23570	+	1.03687i	−0.997848	+	0.0655695i	$0.979114\pi$
$138$	−3.81235	+	4.54338i	−0.324528	+	0.386758i
$139$	11.6144	−	2.04793i	0.985118	−	0.173703i	0.342191	−	0.939630i	$-0.388831\pi$
$139$	11.6144	−	2.04793i	0.985118	−	0.173703i	0.642927	+	0.765927i	$0.277720\pi$
$140$	−16.7750	+	9.68504i	−1.41775	+	0.818536i
$141$	3.88030	+	2.24029i	0.326780	+	0.188667i
$142$	2.39731	−	6.58656i	0.201178	−	0.552732i
$143$	−10.8647	+	1.70109i	−0.908548	+	0.142252i
$144$	0.271088	−	0.469539i	0.0225907	−	0.0391282i
$145$	6.13225	+	10.6214i	0.509256	+	0.882057i
$146$	−0.781937	+	0.137877i	−0.0647135	+	0.0114107i
$147$	−21.3017	+	25.3863i	−1.75693	+	2.09383i
$148$	5.20645	+	6.20480i	0.427967	+	0.510032i
$149$	14.8318	+	2.61525i	1.21507	+	0.214250i	0.744203	−	0.667954i	$-0.232830\pi$
$149$	14.8318	+	2.61525i	1.21507	+	0.214250i	0.470868	+	0.882204i	$0.343941\pi$
$150$	−6.59608	−	18.1226i	−0.538568	−	1.47970i
$151$	11.8219			0.962050			0.481025	−	0.876707i	$-0.340265\pi$
$151$	11.8219			0.962050			0.481025	+	0.876707i	$0.340265\pi$
$152$	0.729181	+	4.29748i	0.0591444	+	0.348571i
$153$		−	2.07266i		−	0.167565i
$154$	−12.3978	−	10.8158i	−0.999045	−	0.871565i
$155$	33.0003	+	5.81884i	2.65065	+	0.467381i
$156$	−4.01126	−	4.78044i	−0.321158	−	0.382741i
$157$	−6.41325	−	5.38135i	−0.511833	−	0.429479i	0.349941	−	0.936772i	$-0.386202\pi$
$157$	−6.41325	−	5.38135i	−0.511833	−	0.429479i	−0.861774	+	0.507293i	$0.830646\pi$
$158$	−1.02327	−	5.80323i	−0.0814067	−	0.461680i
$159$	−0.233800	−	0.404953i	−0.0185415	−	0.0321149i
$160$	1.95237	−	3.38161i	0.154349	−	0.267340i
$161$	−5.34663	+	14.6897i	−0.421373	+	1.15771i
$162$	−9.70944	−	3.53395i	−0.762846	−	0.277653i
$163$	4.04677	−	7.00921i	0.316967	−	0.549004i	−0.662886	−	0.748720i	$-0.730669\pi$
$163$	4.04677	−	7.00921i	0.316967	−	0.549004i	0.979854	+	0.199716i	$0.0640021\pi$
$164$	−1.46866	−	2.54379i	−0.114683	−	0.198637i
$165$	18.9692	−	15.3054i	1.47675	−	1.19153i
$166$	4.51426	−	5.37989i	0.350375	−	0.417561i
$167$	4.22735	−	3.54717i	0.327122	−	0.274488i	−0.464404	−	0.885624i	$-0.653731\pi$
$167$	4.22735	−	3.54717i	0.327122	−	0.274488i	0.791526	+	0.611135i	$0.209287\pi$
$168$	1.62123	−	9.19443i	0.125080	−	0.709366i
$169$	1.88498	−	0.686078i	0.144999	−	0.0527752i
$170$		−	14.9273i		−	1.14487i
$171$	−2.22594	+	0.793938i	−0.170222	+	0.0607139i
$172$			0.605331i			0.0461561i
$173$	15.5605	−	5.66357i	1.18305	−	0.430593i	0.325769	−	0.945450i	$-0.394377\pi$
$173$	15.5605	−	5.66357i	1.18305	−	0.430593i	0.857277	+	0.514856i	$0.172155\pi$
$174$	−5.82161	−	1.02651i	−0.441335	−	0.0778193i
$175$	−32.6742	−	38.9396i	−2.46994	−	2.94356i
$176$	3.25456	+	0.638602i	0.245322	+	0.0481364i
$177$	1.38541	+	7.85704i	0.104134	+	0.590571i
$178$	9.31332	−	5.37705i	0.698063	−	0.403027i
$179$	6.96114	+	4.01902i	0.520300	+	0.300395i	0.737057	−	0.675830i	$-0.236215\pi$
$179$	6.96114	+	4.01902i	0.520300	+	0.300395i	−0.216757	+	0.976225i	$0.569548\pi$
$180$	1.98939	+	0.724078i	0.148280	+	0.0539696i
$181$	−4.98535	+	13.6971i	−0.370558	+	1.01810i	0.604588	+	0.796538i	$0.293338\pi$
$181$	−4.98535	+	13.6971i	−0.370558	+	1.01810i	−0.975146	+	0.221562i	$0.928885\pi$
$182$	−14.2445	−	8.22408i	−1.05587	−	0.609609i
$183$	6.77970	+	11.7428i	0.501170	+	0.868051i
$184$	−0.547217	−	3.10342i	−0.0403414	−	0.228787i
$185$	−20.3299	+	24.2282i	−1.49468	+	1.78129i
$186$	−12.3726	+	10.3819i	−0.907206	+	0.761236i
$187$	11.9955	−	4.10665i	0.877198	−	0.300308i
$188$	−2.23710	+	0.814238i	−0.163157	+	0.0593844i
$189$	−22.9469			−1.66914
$190$	−16.0312	+	5.71793i	−1.16303	+	0.414822i
$191$	10.3665			0.750094			0.375047	−	0.927006i	$-0.377627\pi$
$191$	10.3665			0.750094			0.375047	+	0.927006i	$0.377627\pi$
$192$	0.643705	+	1.76856i	0.0464554	+	0.127635i
$193$	−0.0153200	+	0.0868843i	−0.00110276	+	0.00625407i	−0.985354	−	0.170520i	$-0.945455\pi$
$193$	−0.0153200	+	0.0868843i	−0.00110276	+	0.00625407i	0.984251	+	0.176774i	$0.0565663\pi$
$194$	1.18339	+	1.41030i	0.0849621	+	0.101254i
$195$	15.6630	−	18.6664i	1.12165	−	1.33673i
$196$	−3.05760	−	17.3405i	−0.218400	−	1.23861i
$197$	−4.17877	+	2.41261i	−0.297725	+	0.171892i	−0.641420	−	0.767190i	$-0.721655\pi$
$197$	−4.17877	+	2.41261i	−0.297725	+	0.171892i	0.343695	+	0.939081i	$0.388321\pi$
$198$	−0.0345641	+	1.79786i	−0.00245637	+	0.127769i
$199$	−20.9079	−	7.60985i	−1.48212	−	0.539448i	−0.530759	−	0.847523i	$-0.678093\pi$
$199$	−20.9079	−	7.60985i	−1.48212	−	0.539448i	−0.951362	+	0.308075i	$0.900315\pi$
$200$	9.62909	+	3.50470i	0.680879	+	0.247820i
$201$	12.0079	−	20.7984i	0.846975	−	1.46700i
$202$	−4.77146	+	2.75480i	−0.335719	+	0.193827i
$203$	−15.3443	+	2.70561i	−1.07696	+	0.189897i
$204$	5.51159	+	4.62478i	0.385889	+	0.323799i
$205$	8.78615	−	7.37245i	0.613651	−	0.514914i
$206$	−8.01828	−	1.41384i	−0.558660	−	0.0985069i
$207$	1.60552	−	0.584362i	0.111592	−	0.0406160i
$208$	3.31573			0.229904
$209$	−9.00525	−	11.3095i	−0.622906	−	0.782297i
$210$	36.4558			2.51569
$211$	22.3144	−	8.12177i	1.53619	−	0.559126i	0.571059	−	0.820909i	$-0.306533\pi$
$211$	22.3144	−	8.12177i	1.53619	−	0.559126i	0.965127	+	0.261783i	$0.0843104\pi$
$212$	0.244676	+	0.0431429i	0.0168044	+	0.00296307i
$213$	−10.1056	+	8.47960i	−0.692424	+	0.581013i
$214$	7.12991	+	5.98270i	0.487390	+	0.408969i
$215$	−2.32776	+	0.410446i	−0.158752	+	0.0279922i
$216$	4.00605	−	2.31289i	0.272577	−	0.157373i
$217$	−21.2854	+	36.8674i	−1.44495	+	2.50272i
$218$	7.43531	+	2.70623i	0.503583	+	0.183289i
$219$	1.40424	+	0.511101i	0.0948897	+	0.0345370i
$220$	−0.248930	+	12.9482i	−0.0167829	+	0.872967i
$221$	10.9773	−	6.33778i	0.738416	−	0.426325i
$222$	−2.64716	−	15.0128i	−0.177665	−	1.00759i
$223$	−1.92217	+	2.29075i	−0.128718	+	0.153400i	−0.826554	−	0.562857i	$-0.809702\pi$
$223$	−1.92217	+	2.29075i	−0.128718	+	0.153400i	0.697836	+	0.716258i	$0.254146\pi$
$224$	3.18864	+	3.80008i	0.213050	+	0.253903i
$225$	−0.964740	+	5.47131i	−0.0643160	+	0.364754i
$226$	−0.322459	−	0.885948i	−0.0214496	−	0.0589324i
$227$	−27.8389			−1.84773			−0.923867	−	0.382714i	$-0.874989\pi$
$227$	−27.8389			−1.84773			−0.923867	+	0.382714i	$0.874989\pi$
$228$	2.85556	−	7.69072i	0.189114	−	0.509330i
$229$	1.30750			0.0864023			0.0432012	−	0.999066i	$-0.486244\pi$
$229$	1.30750			0.0864023			0.0432012	+	0.999066i	$0.486244\pi$
$230$	11.5629	−	4.20857i	0.762438	−	0.277505i
$231$	10.0294	+	29.2957i	0.659884	+	1.92752i
$232$	2.40608	−	2.01894i	0.157967	−	0.132550i
$233$	0.164872	−	0.196487i	0.0108011	−	0.0128723i	−0.760617	−	0.649201i	$-0.775103\pi$
$233$	0.164872	−	0.196487i	0.0108011	−	0.0128723i	0.771418	+	0.636329i	$0.219548\pi$
$234$	0.312169	+	1.77040i	0.0204071	+	0.115735i
$235$	−4.64797	−	8.05051i	−0.303200	−	0.525157i
$236$	−3.67116	−	2.11954i	−0.238972	−	0.137971i
$237$	−3.79319	+	10.4217i	−0.246394	+	0.676963i
$238$	17.8202	+	6.48602i	1.15511	+	0.420426i
$239$	9.10524	+	5.25691i	0.588969	+	0.340041i	0.764690	−	0.644399i	$-0.222892\pi$
$239$	9.10524	+	5.25691i	0.588969	+	0.340041i	−0.175721	+	0.984440i	$0.556226\pi$
$240$	−6.36442	+	3.67450i	−0.410822	+	0.237188i
$241$	1.96910	+	11.1673i	0.126841	+	0.719351i	0.980197	+	0.198023i	$0.0634520\pi$
$241$	1.96910	+	11.1673i	0.126841	+	0.719351i	−0.853356	+	0.521328i	$0.825437\pi$
$242$	−10.4736	+	3.36214i	−0.673268	+	0.216127i
$243$	3.57983	+	4.26628i	0.229646	+	0.273682i
$244$	−7.09507	−	1.25105i	−0.454215	−	0.0800904i
$245$	64.6085	−	23.5156i	4.12769	−	1.50236i
$246$			5.52823i			0.352467i
$247$	−11.0114	−	9.36145i	−0.700636	−	0.595655i
$248$		−	8.58170i		−	0.544939i
$249$	−12.4205	+	4.52071i	−0.787120	+	0.286488i
$250$	−3.55778	+	20.1772i	−0.225014	+	1.27612i
$251$	−0.850489	+	0.713645i	−0.0536824	+	0.0450449i	−0.669234	−	0.743052i	$-0.733378\pi$
$251$	−0.850489	+	0.713645i	−0.0536824	+	0.0450449i	0.615552	+	0.788096i	$0.288933\pi$
$252$	−1.72881	+	2.06031i	−0.108905	+	0.129788i
$253$	6.56307	+	8.13411i	0.412617	+	0.511387i
$254$	−0.310952	−	0.538585i	−0.0195109	−	0.0337938i
$255$	−14.0471	+	24.3303i	−0.879663	+	1.52362i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	3.18962	−	8.76342i	0.198963	−	0.546647i	−0.799583	−	0.600556i	$-0.794946\pi$
$257$	3.18962	−	8.76342i	0.198963	−	0.546647i	0.998546	+	0.0539090i	$0.0171681\pi$
$258$	0.569637	−	0.986640i	0.0354640	−	0.0614255i
$259$	−20.0901	−	34.7971i	−1.24834	−	2.16219i
$260$	2.24824	+	12.7504i	0.139430	+	0.790745i
$261$	1.30452	+	1.09462i	0.0807479	+	0.0677555i
$262$	13.5873	+	16.1927i	0.839424	+	1.00039i
$263$	30.8113	+	5.43286i	1.89990	+	0.335004i	0.995742	−	0.0921857i	$-0.0293853\pi$
$263$	30.8113	+	5.43286i	1.89990	+	0.335004i	0.904162	+	0.427190i	$0.140496\pi$
$264$	−4.70373	−	4.10352i	−0.289494	−	0.252554i
$265$			0.970135i			0.0595949i
$266$	0.139619	−	21.6225i	0.00856059	−	1.32576i
$267$	−20.2399			−1.23866
$268$	4.36431	+	11.9908i	0.266592	+	0.732457i
$269$	−7.16171	−	1.26280i	−0.436657	−	0.0769944i	−0.0490015	−	0.998799i	$-0.515604\pi$
$269$	−7.16171	−	1.26280i	−0.436657	−	0.0769944i	−0.387656	+	0.921804i	$0.626715\pi$
$270$	11.6104	+	13.8367i	0.706585	+	0.842075i
$271$	0.211422	−	0.251964i	0.0128430	−	0.0153057i	−0.759585	−	0.650408i	$-0.774598\pi$
$271$	0.211422	−	0.251964i	0.0128430	−	0.0153057i	0.772428	+	0.635103i	$0.219042\pi$
$272$	−3.76478	+	0.663832i	−0.228273	+	0.0402507i
$273$	15.4783	+	26.8091i	0.936787	+	1.62256i
$274$	−9.44035	+	16.3512i	−0.570312	+	0.987810i
$275$	−33.5766	+	5.25713i	−2.02475	+	0.317017i
$276$	−2.02851	+	5.57328i	−0.122102	+	0.335472i
$277$	−19.6794	−	11.3619i	−1.18242	−	0.682669i	−0.225845	−	0.974163i	$-0.572514\pi$
$277$	−19.6794	−	11.3619i	−1.18242	−	0.682669i	−0.956573	+	0.291494i	$0.905848\pi$
$278$	10.2135	−	5.89677i	0.612565	−	0.353665i
$279$	4.58211	−	0.807950i	0.274324	−	0.0483707i
$280$	−12.4509	+	14.8383i	−0.744081	+	0.886761i
$281$	−10.8421	+	9.09764i	−0.646788	+	0.542719i	−0.906094	−	0.423076i	$-0.860950\pi$
$281$	−10.8421	+	9.09764i	−0.646788	+	0.542719i	0.259307	+	0.965795i	$0.416506\pi$
$282$	4.41252	+	0.778046i	0.262762	+	0.0463319i
$283$	−6.99316	−	19.2136i	−0.415700	−	1.14213i	−0.954113	−	0.299446i	$-0.903198\pi$
$283$	−6.99316	−	19.2136i	−0.415700	−	1.14213i	0.538413	−	0.842681i	$-0.319024\pi$
$284$		−	7.00927i		−	0.415924i
$285$	31.5103	+	5.76615i	1.86651	+	0.341557i
$286$	−9.62763	+	5.31443i	−0.569294	+	0.314249i
$287$	4.98358	+	13.6923i	0.294171	+	0.808229i
$288$	0.0941480	−	0.533940i	0.00554772	−	0.0314627i
$289$	1.82760	−	1.53354i	0.107506	−	0.0902080i
$290$	9.39515	+	7.88347i	0.551702	+	0.462933i
$291$	−0.601678	−	3.41229i	−0.0352710	−	0.200032i
$292$	−0.687623	+	0.397000i	−0.0402401	+	0.0232326i
$293$	7.35904	−	12.7462i	0.429919	−	0.744642i	−0.566946	−	0.823755i	$-0.691875\pi$
$293$	7.35904	−	12.7462i	0.429919	−	0.744642i	0.996866	+	0.0791125i	$0.0252086\pi$
$294$	−11.3344	+	31.1409i	−0.661034	+	1.81618i
$295$	5.66131	−	15.5543i	0.329614	−	0.905608i
$296$	7.01463	+	4.04990i	0.407717	+	0.235396i
$297$	−7.92497	+	13.1367i	−0.459854	+	0.762266i
$298$	14.8318	−	2.61525i	0.859185	−	0.151497i
$299$	8.00428	+	6.71639i	0.462900	+	0.388419i
$300$	−12.3966	−	14.7737i	−0.715717	−	0.852958i
$301$	0.521437	−	2.95721i	0.0300551	−	0.170451i
$302$	11.1089	−	4.04332i	0.639246	−	0.232667i
$303$	10.3695			0.595709
$304$	2.15503	+	3.78891i	0.123599	+	0.217309i
$305$		−	28.1318i		−	1.61082i
$306$	−0.708893	−	1.94767i	−0.0405247	−	0.111341i
$307$	3.45384	−	19.5877i	0.197121	−	1.11793i	−0.712245	−	0.701931i	$-0.752322\pi$
$307$	3.45384	−	19.5877i	0.197121	−	1.11793i	0.909366	−	0.415997i	$-0.136567\pi$
$308$	−15.3494	−	5.92326i	−0.874612	−	0.337509i
$309$	11.7387	+	9.84992i	0.667790	+	0.560342i
$310$	33.0003	−	5.81884i	1.87429	−	0.330488i
$311$	−9.87804	−	17.1093i	−0.560132	−	0.970178i	−0.997484	−	0.0708873i	$-0.977417\pi$
$311$	−9.87804	−	17.1093i	−0.560132	−	0.970178i	0.437352	−	0.899290i	$-0.355916\pi$
$312$	−5.40436	−	3.12021i	−0.305962	−	0.176647i
$313$	−0.500835	−	0.182289i	−0.0283089	−	0.0103036i	0.327827	−	0.944738i	$-0.393684\pi$
$313$	−0.500835	−	0.182289i	−0.0283089	−	0.0103036i	−0.356136	+	0.934434i	$0.615906\pi$
$314$	−7.86701	−	2.86336i	−0.443961	−	0.161589i
$315$	−9.09501	−	5.25100i	−0.512446	−	0.295861i
$316$	−2.94638	−	5.10328i	−0.165747	−	0.287082i
$317$	0.760247	−	0.134052i	0.0426997	−	0.00752911i	−0.152258	−	0.988341i	$-0.548654\pi$
$317$	0.760247	−	0.134052i	0.0426997	−	0.00752911i	0.194957	+	0.980812i	$0.437543\pi$
$318$	−0.358202	−	0.300567i	−0.0200870	−	0.0168550i
$319$	−3.75041	+	9.71872i	−0.209983	+	0.544144i
$320$	0.678053	−	3.84543i	0.0379043	−	0.214966i
$321$	−5.99124	−	16.4608i	−0.334398	−	0.918752i
$322$			15.6325i			0.871165i
$323$	14.3769	+	8.42473i	0.799951	+	0.468765i
$324$	−10.3326			−0.574032
$325$	−31.9274	+	11.6206i	−1.77101	+	0.644597i
$326$	1.40543	−	7.97058i	0.0778395	−	0.441450i
$327$	−9.57229	−	11.4078i	−0.529349	−	0.630853i
$328$	−2.25012	−	1.88807i	−0.124242	−	0.104251i
$329$	11.6303	−	2.05073i	0.641197	−	0.113060i
$330$	12.5904	−	20.8702i	0.693080	−	1.14887i
$331$	8.12220	+	4.68935i	0.446436	+	0.257750i	0.706324	−	0.707889i	$-0.250352\pi$
$331$	8.12220	+	4.68935i	0.446436	+	0.257750i	−0.259888	+	0.965639i	$0.583686\pi$
$332$	2.40199	−	6.59941i	0.131826	−	0.362190i
$333$	−1.50199	+	4.12668i	−0.0823085	+	0.226141i
$334$	2.75921	−	4.77909i	0.150977	−	0.261500i
$335$	−43.1506	+	24.9130i	−2.35757	+	1.36114i
$336$	−1.62123	−	9.19443i	−0.0884452	−	0.501598i
$337$	4.41575	+	3.70526i	0.240541	+	0.201838i	0.755087	−	0.655625i	$-0.227595\pi$
$337$	4.41575	+	3.70526i	0.240541	+	0.201838i	−0.514545	+	0.857463i	$0.672039\pi$
$338$	1.53665	−	1.28941i	0.0835829	−	0.0701344i
$339$	−0.308126	+	1.74747i	−0.0167351	+	0.0949094i
$340$	−5.10544	−	14.0271i	−0.276881	−	0.760725i
$341$	13.7547	+	24.9180i	0.744860	+	1.34939i
$342$	−1.82016	+	1.50737i	−0.0984229	+	0.0815095i
$343$			52.6227i			2.84136i
$344$	0.207035	+	0.568825i	0.0111626	+	0.0306690i
$345$	−22.8071	−	4.02150i	−1.22789	−	0.216510i
$346$	12.6851	−	10.6440i	0.681953	−	0.572227i
$347$	−18.1946	+	21.6835i	−0.976737	+	1.16403i	0.00971066	+	0.999953i	$0.496909\pi$
$347$	−18.1946	+	21.6835i	−0.976737	+	1.16403i	−0.986448	+	0.164077i	$0.947535\pi$
$348$	−5.82161	+	1.02651i	−0.312071	+	0.0550266i
$349$	12.0199	−	6.93971i	0.643413	−	0.371474i	−0.142515	−	0.989793i	$-0.545519\pi$
$349$	12.0199	−	6.93971i	0.643413	−	0.371474i	0.785928	+	0.618318i	$0.212186\pi$
$350$	−44.0219	−	25.4160i	−2.35307	−	1.35854i
$351$	−5.24585	+	14.4129i	−0.280003	+	0.769302i
$352$	3.27670	−	0.513037i	0.174649	−	0.0273450i
$353$	−3.41260	+	5.91079i	−0.181634	+	0.314600i	−0.942437	−	0.334383i	$-0.891472\pi$
$353$	−3.41260	+	5.91079i	−0.181634	+	0.314600i	0.760803	+	0.648983i	$0.224805\pi$
$354$	3.98912	+	6.90937i	0.212020	+	0.367229i
$355$	26.9536	−	4.75265i	1.43055	−	0.252245i
$356$	6.91260	−	8.23811i	0.366367	−	0.436619i
$357$	−22.9419	−	27.3411i	−1.21421	−	1.44704i
$358$	7.91592	+	1.39579i	0.418369	+	0.0737698i
$359$	−0.995396	−	2.73483i	−0.0525350	−	0.144339i	0.910650	−	0.413179i	$-0.135582\pi$
$359$	−0.995396	−	2.73483i	−0.0525350	−	0.144339i	−0.963185	+	0.268841i	$0.913360\pi$
$360$	2.11706			0.111579
$361$	3.54067	−	18.6672i	0.186351	−	0.982483i
$362$			14.5762i			0.766107i
$363$	20.2350	+	4.37598i	1.06206	+	0.229679i
$364$	−16.1983	−	2.85619i	−0.849020	−	0.149705i
$365$	−1.99288	−	2.37502i	−0.104312	−	0.124314i
$366$	10.3871	+	8.71581i	0.542942	+	0.455583i
$367$	−1.45943	−	8.27682i	−0.0761814	−	0.432046i	−0.998913	−	0.0466043i	$-0.985160\pi$
$367$	−1.45943	−	8.27682i	−0.0761814	−	0.432046i	0.922732	−	0.385442i	$-0.125951\pi$
$368$	−1.57565	−	2.72911i	−0.0821364	−	0.142264i
$369$	0.796273	−	1.37919i	0.0414523	−	0.0717975i
$370$	−10.8173	+	29.7203i	−0.562365	+	1.54508i
$371$	−1.15815	−	0.421531i	−0.0601279	−	0.0218848i
$372$	−8.07567	+	13.9875i	−0.418704	+	0.725216i
$373$	−2.36245	−	4.09188i	−0.122323	−	0.211870i	0.798360	−	0.602180i	$-0.205701\pi$
$373$	−2.36245	−	4.09188i	−0.122323	−	0.211870i	−0.920683	+	0.390310i	$0.872368\pi$
$374$	9.86753	−	7.96170i	0.510238	−	0.411690i
$375$	24.7863	−	29.5392i	1.27996	−	1.52540i
$376$	−1.82370	+	1.53027i	−0.0940502	+	0.0789175i
$377$	−1.80845	+	10.2562i	−0.0931397	+	0.528222i
$378$	−21.5630	+	7.84831i	−1.10908	+	0.403673i
$379$		−	5.74212i		−	0.294953i	−0.989066	−	0.147476i	$-0.952885\pi$
$379$		−	5.74212i		−	0.294953i	0.989066	−	0.147476i	$-0.0471150\pi$
$380$	−13.1088	+	10.8561i	−0.672465	+	0.556906i
$381$			1.17047i			0.0599648i
$382$	9.74133	−	3.54555i	0.498410	−	0.181406i
$383$	6.26512	+	1.10471i	0.320132	+	0.0564480i	0.331405	−	0.943488i	$-0.392477\pi$
$383$	6.26512	+	1.10471i	0.320132	+	0.0564480i	−0.0112729	+	0.999936i	$0.503588\pi$
$384$	1.20977	+	1.44175i	0.0617358	+	0.0735738i
$385$	12.3698	−	63.0412i	0.630422	−	3.21288i
$386$	0.0153200	+	0.0868843i	0.000779770	+	0.00442229i
$387$	−0.284226	+	0.164098i	−0.0144480	+	0.00834158i
$388$	1.59437	+	0.920511i	0.0809419	+	0.0467318i
$389$	−16.3687	−	5.95770i	−0.829924	−	0.302068i	−0.108096	−	0.994140i	$-0.534475\pi$
$389$	−16.3687	−	5.95770i	−0.829924	−	0.302068i	−0.721828	+	0.692073i	$0.756698\pi$
$390$	8.33410	−	22.8977i	0.422013	−	1.15947i
$391$	−10.4330	−	6.02349i	−0.527619	−	0.304621i
$392$	−8.80402	−	15.2490i	−0.444670	−	0.770191i
$393$	−6.90828	−	39.1788i	−0.348477	−	1.97631i
$394$	−3.10160	+	3.69634i	−0.156256	+	0.186219i
$395$	17.6265	−	14.7904i	0.886884	−	0.744184i
$396$	0.582426	+	1.70126i	0.0292680	+	0.0854916i
$397$	6.75485	−	2.45857i	0.339016	−	0.123392i	−0.166901	−	0.985974i	$-0.553376\pi$
$397$	6.75485	−	2.45857i	0.339016	−	0.123392i	0.505918	+	0.862582i	$0.331154\pi$
$398$	−22.2497			−1.11528
$399$	−20.5751	+	35.1115i	−1.03004	+	1.75778i
$400$	10.2471			0.512353
$401$	−6.62952	−	18.2145i	−0.331063	−	0.909587i	−0.987836	−	0.155499i	$-0.950301\pi$
$401$	−6.62952	−	18.2145i	−0.331063	−	0.909587i	0.656774	−	0.754088i	$-0.271921\pi$
$402$	4.17032	−	23.6510i	0.207996	−	1.17961i
$403$	18.2902	+	21.7975i	0.911102	+	1.08581i
$404$	−3.54151	+	4.22060i	−0.176197	+	0.209983i
$405$	−7.00603	−	39.7332i	−0.348132	−	1.97436i
$406$	−13.4935	+	7.79050i	−0.669673	+	0.386636i
$407$	−26.8590	−	0.516367i	−1.33135	−	0.0255954i
$408$	6.76097	+	2.46079i	0.334718	+	0.121827i
$409$	9.26829	+	3.37338i	0.458287	+	0.166803i	0.560839	−	0.827925i	$-0.310479\pi$
$409$	9.26829	+	3.37338i	0.458287	+	0.166803i	−0.102552	+	0.994728i	$0.532701\pi$
$410$	5.73475	−	9.93288i	0.283219	−	0.490550i
$411$	30.7740	−	17.7674i	1.51797	−	0.876399i
$412$	−8.01828	+	1.41384i	−0.395032	+	0.0696549i
$413$	16.1089	+	13.5169i	0.792665	+	0.665125i
$414$	1.30883	−	1.09824i	0.0643257	−	0.0539756i
$415$	27.0062	+	4.76193i	1.32568	+	0.233754i
$416$	3.11576	−	1.13405i	0.152763	−	0.0556011i
$417$	−22.1962			−1.08695
$418$	−12.3303	−	7.54751i	−0.603092	−	0.369161i
$419$	−38.9674			−1.90368			−0.951840	−	0.306595i	$-0.900810\pi$
$419$	−38.9674			−1.90368			−0.951840	+	0.306595i	$0.900810\pi$
$420$	34.2572	−	12.4686i	1.67158	−	0.608406i
$421$	−8.96278	−	1.58038i	−0.436819	−	0.0770230i	−0.0490857	−	0.998795i	$-0.515631\pi$
$421$	−8.96278	−	1.58038i	−0.436819	−	0.0770230i	−0.387733	+	0.921772i	$0.626742\pi$
$422$	18.1909	−	15.2639i	0.885517	−	0.743037i
$423$	−0.988768	−	0.829675i	−0.0480756	−	0.0403402i
$424$	0.244676	−	0.0431429i	0.0118825	−	0.00209520i
$425$	33.9249	−	19.5865i	1.64560	−	0.950086i
$426$	−6.59596	+	11.4245i	−0.319575	+	0.553520i
$427$	33.5838	+	12.2235i	1.62523	+	0.591536i
$428$	8.74613	+	3.18333i	0.422760	+	0.153872i
$429$	20.6933	+	0.397831i	0.999082	+	0.0192075i
$430$	−2.04699	+	1.18183i	−0.0987148	+	0.0569930i
$431$	−0.538028	−	3.05131i	−0.0259159	−	0.146976i	0.969104	−	0.246652i	$-0.0793305\pi$
$431$	−0.538028	−	3.05131i	−0.0259159	−	0.146976i	−0.995020	+	0.0996759i	$0.968219\pi$
$432$	2.97340	−	3.54356i	0.143058	−	0.170490i
$433$	24.2349	+	28.8820i	1.16465	+	1.38798i	0.906675	+	0.421829i	$0.138612\pi$
$433$	24.2349	+	28.8820i	1.16465	+	1.38798i	0.257978	+	0.966151i	$0.416944\pi$
$434$	−7.39234	+	41.9241i	−0.354844	+	2.01242i
$435$	−7.89472	−	21.6906i	−0.378523	−	1.03998i
$436$	7.91249			0.378939
$437$	−2.47256	+	13.5118i	−0.118279	+	0.646358i
$438$	1.49436			0.0714033
$439$	−16.6723	+	6.06823i	−0.795726	+	0.289621i	−0.707714	−	0.706499i	$-0.750274\pi$
$439$	−16.6723	+	6.06823i	−0.795726	+	0.289621i	−0.0880120	+	0.996119i	$0.528051\pi$
$440$	4.19463	+	12.2525i	0.199971	+	0.584113i
$441$	7.31317	−	6.13648i	0.348246	−	0.292213i
$442$	8.14769	−	9.71003i	0.387546	−	0.461859i
$443$	3.70758	+	21.0267i	0.176152	+	0.999010i	0.936805	+	0.349851i	$0.113768\pi$
$443$	3.70758	+	21.0267i	0.176152	+	0.999010i	−0.760653	+	0.649159i	$0.775121\pi$
$444$	−7.62218	−	13.2020i	−0.361733	−	0.626539i
$445$	36.3662	+	20.9960i	1.72392	+	0.995307i
$446$	−1.02277	+	2.81003i	−0.0484294	+	0.133059i
$447$	−26.6357	−	9.69460i	−1.25983	−	0.458539i
$448$	4.29605	+	2.48032i	0.202969	+	0.117184i
$449$	18.9583	−	10.9456i	0.894698	−	0.516554i	0.0192220	−	0.999815i	$-0.493881\pi$
$449$	18.9583	−	10.9456i	0.894698	−	0.516554i	0.875476	+	0.483261i	$0.160548\pi$
$450$	0.964740	+	5.47131i	0.0454783	+	0.257920i
$451$	9.55970	+	1.87578i	0.450149	+	0.0883269i
$452$	−0.606024	−	0.722231i	−0.0285050	−	0.0339709i
$453$	−21.9115	−	3.86359i	−1.02949	−	0.181527i
$454$	−26.1600	+	9.52147i	−1.22775	+	0.446865i
$455$		−	64.2259i		−	3.01096i
$456$	0.0529714	−	8.20357i	0.00248061	−	0.384167i
$457$		−	0.841953i		−	0.0393849i	−0.999806	−	0.0196924i	$-0.993731\pi$
$457$		−	0.841953i		−	0.0393849i	0.999806	−	0.0196924i	$-0.00626870\pi$
$458$	1.22865	−	0.447193i	0.0574112	−	0.0208960i
$459$	3.07075	−	17.4151i	0.143330	−	0.812866i
$460$	9.42620	−	7.90952i	0.439499	−	0.368783i
$461$	−19.3998	+	23.1197i	−0.903537	+	1.07679i	0.0931656	+	0.995651i	$0.470301\pi$
$461$	−19.3998	+	23.1197i	−0.903537	+	1.07679i	−0.996702	+	0.0811427i	$0.974143\pi$
$462$	19.4442	+	24.0987i	0.904628	+	1.12117i
$463$	−12.1875	−	21.1094i	−0.566401	−	0.981036i	−0.996918	−	0.0784532i	$-0.975002\pi$
$463$	−12.1875	−	21.1094i	−0.566401	−	0.981036i	0.430516	−	0.902583i	$-0.358331\pi$
$464$	1.57046	−	2.72012i	0.0729068	−	0.126278i
$465$	−59.2635	−	21.5702i	−2.74828	−	1.00029i
$466$	0.0877265	−	0.241027i	0.00406385	−	0.0111653i
$467$	−9.56079	+	16.5598i	−0.442420	+	0.766295i	−0.997869	−	0.0652566i	$-0.979213\pi$
$467$	−9.56079	+	16.5598i	−0.442420	+	0.766295i	0.555448	+	0.831551i	$0.312547\pi$
$468$	0.898855	+	1.55686i	0.0415496	+	0.0719660i
$469$	−10.9919	−	62.3381i	−0.507558	−	2.87851i
$470$	−7.12110	−	5.97531i	−0.328472	−	0.275620i
$471$	10.1281	+	12.0702i	0.466677	+	0.556164i
$472$	−4.17469	−	0.736110i	−0.192156	−	0.0338822i
$473$	−1.51286	−	1.31982i	−0.0695616	−	0.0606854i
$474$			11.0906i			0.509406i
$475$	−34.0300	−	28.9310i	−1.56140	−	1.32745i
$476$	18.9639			0.869207
$477$	0.0460714	+	0.126580i	0.00210947	+	0.00579571i
$478$	10.3541	+	1.82571i	0.473585	+	0.0835058i
$479$	−10.0328	−	11.9567i	−0.458412	−	0.546314i	0.486482	−	0.873691i	$-0.338280\pi$
$479$	−10.0328	−	11.9567i	−0.458412	−	0.546314i	−0.944894	+	0.327377i	$0.893835\pi$
$480$	−4.72385	+	5.62966i	−0.215613	+	0.256958i
$481$	−26.4487	+	4.66362i	−1.20596	+	0.212643i
$482$	5.66980	+	9.82038i	0.258252	+	0.447306i
$483$	14.7107	−	25.4797i	0.669360	−	1.15937i
$484$	−8.69203	+	6.74156i	−0.395092	+	0.306434i
$485$	−2.45869	+	6.75519i	−0.111643	+	0.306737i
$486$	4.82310	+	2.78462i	0.218780	+	0.126313i
$487$	−10.6927	+	6.17341i	−0.484531	+	0.279744i	−0.722303	−	0.691577i	$-0.756916\pi$
$487$	−10.6927	+	6.17341i	−0.484531	+	0.279744i	0.237772	+	0.971321i	$0.423583\pi$
$488$	−7.09507	+	1.25105i	−0.321179	+	0.0566325i
$489$	−9.79132	+	11.6688i	−0.442779	+	0.527683i
$490$	52.6693	−	44.1948i	2.37936	−	1.99652i
$491$	24.3152	+	4.28743i	1.09733	+	0.193489i	0.692867	−	0.721065i	$-0.256347\pi$
$491$	24.3152	+	4.28743i	1.09733	+	0.193489i	0.404463	+	0.914554i	$0.367458\pi$
$492$	1.89077	+	5.19484i	0.0852424	+	0.234202i
$493$		−	12.0073i		−	0.540781i
$494$	−13.5491	−	5.03078i	−0.609603	−	0.226345i
$495$	−6.14716	+	3.39322i	−0.276294	+	0.152514i
$496$	−2.93511	−	8.06416i	−0.131791	−	0.362092i
$497$	−6.03784	+	34.2423i	−0.270834	+	1.53598i
$498$	−10.1253	+	8.49615i	−0.453726	+	0.380722i
$499$	24.2189	+	20.3220i	1.08419	+	0.909740i	0.996262	−	0.0863876i	$-0.0275324\pi$
$499$	24.2189	+	20.3220i	1.08419	+	0.909740i	0.0879238	+	0.996127i	$0.471977\pi$
$500$	3.55778	+	20.1772i	0.159109	+	0.902352i
$501$	−8.99456	+	5.19301i	−0.401847	+	0.232007i
$502$	−0.555117	+	0.961491i	−0.0247761	+	0.0429134i
$503$	5.93888	−	16.3169i	0.264802	−	0.727536i	−0.734026	−	0.679122i	$-0.762361\pi$
$503$	5.93888	−	16.3169i	0.264802	−	0.727536i	0.998827	−	0.0484146i	$-0.0154169\pi$
$504$	−0.919879	+	2.52735i	−0.0409747	+	0.112577i
$505$	−18.6314	−	10.7568i	−0.829084	−	0.478672i
$506$	8.94930	+	5.39886i	0.397845	+	0.240008i
$507$	−3.71799	+	0.655582i	−0.165122	+	0.0291154i
$508$	−0.476406	−	0.399752i	−0.0211371	−	0.0177361i
$509$	0.271376	+	0.323413i	0.0120285	+	0.0143350i	0.772025	−	0.635592i	$-0.219244\pi$
$509$	0.271376	+	0.323413i	0.0120285	+	0.0143350i	−0.759997	+	0.649927i	$0.774799\pi$
$510$	−4.87850	+	27.6674i	−0.216024	+	1.22513i
$511$	3.70121	−	1.34713i	0.163732	−	0.0595936i
$512$	−1.00000			−0.0441942
$513$	−19.8792	+	3.37304i	−0.877689	+	0.148923i
$514$		−	9.32584i		−	0.411345i
$515$	−10.8736	−	29.8751i	−0.479150	−	1.31645i
$516$	0.197833	−	1.12197i	0.00870910	−	0.0493918i
$517$	2.84264	−	7.36635i	0.125019	−	0.323972i
$518$	−30.7799	−	25.8274i	−1.35239	−	1.13479i
$519$	−30.6920	+	5.41183i	−1.34723	+	0.237553i
$520$	6.47354	+	11.2125i	0.283883	+	0.491701i
$521$	−23.2017	−	13.3955i	−1.01649	−	0.586868i	−0.103402	−	0.994640i	$-0.532973\pi$
$521$	−23.2017	−	13.3955i	−1.01649	−	0.586868i	−0.913084	+	0.407771i	$0.866306\pi$
$522$	1.60023	+	0.582437i	0.0700403	+	0.0254926i
$523$	−24.2553	−	8.82820i	−1.06061	−	0.386030i	−0.247952	−	0.968772i	$-0.579758\pi$
$523$	−24.2553	−	8.82820i	−1.06061	−	0.386030i	−0.812657	+	0.582742i	$0.801980\pi$
$524$	18.3061	+	10.5690i	0.799705	+	0.461710i
$525$	47.8347	+	82.8521i	2.08768	+	3.61596i
$526$	30.8113	−	5.43286i	1.34343	−	0.236884i
$527$	−25.1313	−	21.0877i	−1.09474	−	0.918594i
$528$	−5.82354	−	2.24728i	−0.253437	−	0.0978003i
$529$	−2.26946	+	12.8708i	−0.0986722	+	0.559598i
$530$	0.331806	+	0.911629i	0.0144127	+	0.0395986i
$531$		−	2.29833i		−	0.0997392i
$532$	−7.26414	−	20.3663i	−0.314940	−	0.882990i
$533$	9.73935			0.421858
$534$	−19.0193	+	6.92246i	−0.823046	+	0.299564i
$535$	−6.31093	+	35.7911i	−0.272845	+	1.54738i
$536$	8.20221	+	9.77502i	0.354282	+	0.422216i
$537$	−11.5888	−	9.72416i	−0.500094	−	0.419629i
$538$	−7.16171	+	1.26280i	−0.308763	+	0.0544433i
$539$	50.0046	+	30.1664i	2.15385	+	1.29936i
$540$	15.6426	+	9.03127i	0.673151	+	0.388644i
$541$	−0.299999	+	0.824241i	−0.0128980	+	0.0354369i	−0.945975	−	0.324241i	$-0.894891\pi$
$541$	−0.299999	+	0.824241i	−0.0128980	+	0.0354369i	0.933077	+	0.359678i	$0.117113\pi$
$542$	0.112496	−	0.309079i	0.00483210	−	0.0132761i
$543$	13.7167	−	23.7580i	0.588639	−	1.01955i
$544$	−3.31069	+	1.91143i	−0.141945	+	0.0819518i
$545$	5.36508	+	30.4269i	0.229815	+	1.30335i
$546$	23.7141	+	19.8985i	1.01487	+	0.851576i
$547$	−0.417477	+	0.350305i	−0.0178500	+	0.0149780i	−0.651669	−	0.758503i	$-0.725931\pi$
$547$	−0.417477	+	0.350305i	−0.0178500	+	0.0149780i	0.633819	+	0.773481i	$0.281486\pi$
$548$	−3.27860	+	18.5939i	−0.140055	+	0.794290i
$549$	−1.33597	−	3.67055i	−0.0570179	−	0.156655i
$550$	−29.7536	+	16.4240i	−1.26870	+	0.700320i
$551$	−12.8953	+	4.59941i	−0.549356	+	0.195942i
$552$			5.93096i			0.252438i
$553$	9.99789	+	27.4690i	0.425154	+	1.16810i
$554$	−22.3785	−	3.94594i	−0.950773	−	0.167647i
$555$	45.5991	−	38.2622i	1.93557	−	1.62414i
$556$	7.58074	−	9.03438i	0.321495	−	0.383143i
$557$	−21.5174	+	3.79410i	−0.911723	+	0.160761i	−0.609786	−	0.792566i	$-0.708744\pi$
$557$	−21.5174	+	3.79410i	−0.911723	+	0.160761i	−0.301937	+	0.953328i	$0.597633\pi$
$558$	4.02944	−	2.32640i	0.170580	−	0.0984843i
$559$	−1.73821	−	1.00356i	−0.0735184	−	0.0424459i
$560$	−6.62496	+	18.2019i	−0.279956	+	0.769172i
$561$	−23.5755	+	3.69124i	−0.995358	+	0.155844i
$562$	−7.07670	+	12.2572i	−0.298513	+	0.517039i
$563$	21.6621	+	37.5198i	0.912948	+	1.58127i	0.809879	+	0.586597i	$0.199533\pi$
$563$	21.6621	+	37.5198i	0.912948	+	1.58127i	0.103069	+	0.994674i	$0.467134\pi$
$564$	4.41252	−	0.778046i	0.185800	−	0.0327616i
$565$	2.36637	−	2.82013i	0.0995540	−	0.118644i
$566$	−13.1428	−	15.6630i	−0.552435	−	0.658366i
$567$	50.4776	+	8.90056i	2.11986	+	0.373788i
$568$	−2.39731	−	6.58656i	−0.100589	−	0.276366i
$569$	7.62685			0.319734			0.159867	−	0.987139i	$-0.448893\pi$
$569$	7.62685			0.319734			0.159867	+	0.987139i	$0.448893\pi$
$570$	31.5821	−	5.35875i	1.32283	−	0.224453i
$571$		−	6.51660i		−	0.272711i	−0.990660	−	0.136356i	$-0.956461\pi$
$571$		−	6.51660i		−	0.272711i	0.990660	−	0.136356i	$-0.0435390\pi$
$572$	−7.22937	+	8.28678i	−0.302275	+	0.346488i
$573$	−19.2141	−	3.38796i	−0.802679	−	0.141534i
$574$	9.36607	+	11.1620i	0.390932	+	0.465895i
$575$	24.7368	+	20.7566i	1.03159	+	0.865611i
$576$	−0.0941480	−	0.533940i	−0.00392283	−	0.0222475i
$577$	18.9428	+	32.8099i	0.788598	+	1.36589i	0.926826	+	0.375492i	$0.122526\pi$
$577$	18.9428	+	32.8099i	0.788598	+	1.36589i	−0.138227	+	0.990401i	$0.544140\pi$
$578$	1.19288	−	2.06613i	0.0496172	−	0.0859396i
$579$	0.0567906	−	0.156031i	0.00236014	−	0.00648442i
$580$	11.5249	+	4.19471i	0.478544	+	0.174176i
$581$	−17.4192	+	30.1709i	−0.722670	+	1.25170i
$582$	−1.73246	−	3.00071i	−0.0718129	−	0.124384i
$583$	−0.641297	+	0.517436i	−0.0265598	+	0.0214300i
$584$	−0.510373	+	0.608239i	−0.0211194	+	0.0251691i
$585$	−5.37733	+	4.51211i	−0.222325	+	0.186553i
$586$	2.55577	−	14.4945i	0.105578	−	0.598761i
$587$	−0.908600	+	0.330703i	−0.0375019	+	0.0136496i	−0.360703	−	0.932681i	$-0.617463\pi$
$587$	−0.908600	+	0.330703i	−0.0375019	+	0.0136496i	0.323201	+	0.946330i	$0.395241\pi$
$588$			33.1395i			1.36665i
$589$	−13.0206	+	35.0675i	−0.536503	+	1.44493i
$590$		−	16.5526i		−	0.681459i
$591$	8.53372	−	3.10602i	0.351030	−	0.127765i
$592$	7.97674	+	1.40651i	0.327842	+	0.0578074i
$593$	−22.1987	−	26.4554i	−0.911592	−	1.08639i	−0.995946	−	0.0899576i	$-0.971327\pi$
$593$	−22.1987	−	26.4554i	−0.911592	−	1.08639i	0.0843532	−	0.996436i	$-0.473118\pi$
$594$	−2.95404	+	15.0549i	−0.121206	+	0.617711i
$595$	12.8585	+	72.9241i	0.527147	+	2.98960i
$596$	13.0429	−	7.53032i	0.534258	−	0.308454i
$597$	36.2652	+	20.9377i	1.48424	+	0.856924i
$598$	9.81871	+	3.57372i	0.401517	+	0.146140i
$599$	−12.3993	+	34.0667i	−0.506620	+	1.39193i	0.378083	+	0.925772i	$0.376583\pi$
$599$	−12.3993	+	34.0667i	−0.506620	+	1.39193i	−0.884703	+	0.466155i	$0.845639\pi$
$600$	−16.7019	−	9.64283i	−0.681851	−	0.393667i
$601$	−23.9479	−	41.4789i	−0.976853	−	1.69196i	−0.673678	−	0.739025i	$-0.735287\pi$
$601$	−23.9479	−	41.4789i	−0.976853	−	1.69196i	−0.303175	−	0.952935i	$-0.598047\pi$
$602$	−0.521437	−	2.95721i	−0.0212522	−	0.120527i
$603$	−4.44705	+	5.29979i	−0.181098	+	0.215824i
$604$	9.05607	−	7.59895i	0.368486	−	0.309197i
$605$	−31.8178	−	28.8534i	−1.29358	−	1.17306i
$606$	9.74410	−	3.54656i	0.395827	−	0.144069i
$607$	48.6444			1.97442			0.987208	−	0.159439i	$-0.0509684\pi$
$607$	48.6444			1.97442			0.987208	+	0.159439i	$0.0509684\pi$
$608$	3.32095	+	2.82335i	0.134682	+	0.114502i
$609$	29.3245			1.18829
$610$	−9.62166	−	26.4353i	−0.389570	−	1.07033i
$611$	1.37072	−	7.77374i	0.0554534	−	0.314492i
$612$	−1.33228	−	1.58775i	−0.0538543	−	0.0641811i
$613$	4.07808	−	4.86007i	0.164712	−	0.196296i	−0.677375	−	0.735638i	$-0.736882\pi$
$613$	4.07808	−	4.86007i	0.164712	−	0.196296i	0.842087	+	0.539342i	$0.181327\pi$
$614$	−3.45384	−	19.5877i	−0.139385	−	0.790494i
$615$	−18.6943	+	10.7932i	−0.753829	+	0.435223i
$616$	−16.4496	−	0.316245i	−0.662772	−	0.0127419i
$617$	1.15427	+	0.420120i	0.0464691	+	0.0169134i	0.365150	−	0.930949i	$-0.381018\pi$
$617$	1.15427	+	0.420120i	0.0464691	+	0.0169134i	−0.318681	+	0.947862i	$0.603240\pi$
$618$	14.3996	+	5.24103i	0.579237	+	0.210825i
$619$	17.4366	−	30.2010i	0.700834	−	1.21388i	−0.267340	−	0.963602i	$-0.586145\pi$
$619$	17.4366	−	30.2010i	0.700834	−	1.21388i	0.968174	−	0.250278i	$-0.0805221\pi$
$620$	29.0200	−	16.7547i	1.16547	−	0.672885i
$621$	14.3558	−	2.53131i	0.576078	−	0.101578i
$622$	−15.1340	−	12.6990i	−0.606820	−	0.509182i
$623$	−40.8664	+	34.2910i	−1.63728	+	1.37384i
$624$	−6.14561	−	1.08364i	−0.246021	−	0.0433802i
$625$	−27.0321	+	9.83889i	−1.08128	+	0.393556i
$626$	−0.532977			−0.0213021
$627$	12.9948	+	23.9050i	0.518964	+	0.954674i
$628$	−8.37190			−0.334075
$629$	29.0970	−	10.5904i	1.16017	−	0.422268i
$630$	−10.3425	−	1.82365i	−0.412053	−	0.0726561i
$631$	−28.9916	+	24.3268i	−1.15414	+	0.968435i	−0.999808	−	0.0195841i	$-0.993766\pi$
$631$	−28.9916	+	24.3268i	−1.15414	+	0.968435i	−0.154328	+	0.988020i	$0.549321\pi$
$632$	−4.51411	−	3.78779i	−0.179562	−	0.150670i
$633$	−44.0135	+	7.76077i	−1.74938	+	0.308463i
$634$	0.668550	−	0.385987i	0.0265515	−	0.0153295i
$635$	1.21419	−	2.10304i	0.0481836	−	0.0834565i
$636$	−0.439400	−	0.159929i	−0.0174233	−	0.00634158i
$637$	54.8625	+	19.9683i	2.17373	+	0.791173i
$638$	−0.200236	+	10.4153i	−0.00792741	+	0.412347i
$639$	3.29112	−	1.90013i	0.130195	−	0.0751680i
$640$	−0.678053	−	3.84543i	−0.0268024	−	0.152004i
$641$	17.0659	−	20.3384i	0.674064	−	0.803318i	−0.315267	−	0.949003i	$-0.602094\pi$
$641$	17.0659	−	20.3384i	0.674064	−	0.803318i	0.989331	+	0.145685i	$0.0465386\pi$
$642$	−11.2598	−	13.4190i	−0.444391	−	0.529604i
$643$	7.71193	−	43.7365i	0.304129	−	1.72480i	−0.323449	−	0.946246i	$-0.604842\pi$
$643$	7.71193	−	43.7365i	0.304129	−	1.72480i	0.627578	−	0.778554i	$-0.284046\pi$
$644$	5.34663	+	14.6897i	0.210687	+	0.578857i
$645$	4.44858			0.175163
$646$	16.3913	+	2.99948i	0.644906	+	0.118013i
$647$	−8.60583			−0.338330			−0.169165	−	0.985588i	$-0.554107\pi$
$647$	−8.60583			−0.338330			−0.169165	+	0.985588i	$0.554107\pi$
$648$	−9.70944	+	3.53395i	−0.381423	+	0.138827i
$649$	13.3016	−	4.55378i	0.522132	−	0.178752i
$650$	−26.0275	+	21.8396i	−1.02088	+	0.856621i
$651$	51.5009	−	61.3763i	2.01848	−	2.40553i
$652$	−1.40543	−	7.97058i	−0.0550408	−	0.312152i
$653$	15.0182	+	26.0123i	0.587707	+	1.01794i	0.994532	+	0.104432i	$0.0333026\pi$
$653$	15.0182	+	26.0123i	0.587707	+	1.01794i	−0.406825	+	0.913506i	$0.633364\pi$
$654$	−12.8967	−	7.44592i	−0.504301	−	0.291158i
$655$	−28.2299	+	77.5610i	−1.10303	+	3.03056i
$656$	−2.76018	−	1.00462i	−0.107767	−	0.0392239i
$657$	−0.372813	−	0.215244i	−0.0145448	−	0.00839746i
$658$	10.2275	−	5.90484i	0.398709	−	0.230195i
$659$	−0.275153	−	1.56047i	−0.0107184	−	0.0607873i	0.978979	−	0.203959i	$-0.0653810\pi$
$659$	−0.275153	−	1.56047i	−0.0107184	−	0.0607873i	−0.989698	+	0.143172i	$0.954270\pi$
$660$	4.69308	−	23.9178i	0.182678	−	0.930999i
$661$	−11.9591	−	14.2523i	−0.465154	−	0.554349i	0.481565	−	0.876410i	$-0.340069\pi$
$661$	−11.9591	−	14.2523i	−0.465154	−	0.554349i	−0.946719	+	0.322062i	$0.895624\pi$
$662$	9.23622	+	1.62860i	0.358976	+	0.0632971i
$663$	−22.4175	+	8.15931i	−0.870625	+	0.316881i
$664$		−	7.02295i		−	0.272543i
$665$	73.3915	−	41.7431i	2.84600	−	1.61873i
$666$			4.39152i			0.170168i
$667$	9.30106	−	3.38531i	0.360138	−	0.131080i
$668$	0.958262	−	5.43458i	0.0370763	−	0.210270i
$669$	4.31135	−	3.61765i	0.166687	−	0.139867i
$670$	−32.0276	+	38.1690i	−1.23733	+	1.47460i
$671$	18.5962	−	15.0045i	0.717900	−	0.579244i
$672$	−4.66814	−	8.08545i	−0.180077	−	0.311903i
$673$	−15.9148	+	27.5652i	−0.613470	+	1.06256i	0.377181	+	0.926140i	$0.376894\pi$
$673$	−15.9148	+	27.5652i	−0.613470	+	1.06256i	−0.990651	+	0.136422i	$0.956440\pi$
$674$	5.41672	+	1.97153i	0.208644	+	0.0759404i
$675$	−16.2120	+	44.5421i	−0.624001	+	1.71443i
$676$	1.00298	−	1.73721i	0.0385761	−	0.0668158i
$677$	−20.5567	−	35.6053i	−0.790060	−	1.36842i	−0.925929	−	0.377697i	$-0.876716\pi$
$677$	−20.5567	−	35.6053i	−0.790060	−	1.36842i	0.135870	−	0.990727i	$-0.456617\pi$
$678$	0.308126	+	1.74747i	0.0118335	+	0.0671111i
$679$	−6.99602	−	5.87036i	−0.268483	−	0.225284i
$680$	−9.59508	−	11.4350i	−0.367955	−	0.438511i
$681$	51.5987	+	9.09824i	1.97727	+	0.348646i
$682$	21.4477	+	18.7109i	0.821274	+	0.716478i
$683$		−	33.9761i		−	1.30006i	−0.759908	−	0.650030i	$-0.774756\pi$
$683$		−	33.9761i		−	1.30006i	0.759908	−	0.650030i	$-0.225244\pi$
$684$	−1.19484	+	2.03900i	−0.0456857	+	0.0779631i
$685$	−73.7244			−2.81686
$686$	17.9980	+	49.4492i	0.687168	+	1.88798i
$687$	−2.42343	−	0.427315i	−0.0924595	−	0.0163031i
$688$	0.389099	+	0.463710i	0.0148343	+	0.0176788i
$689$	−0.529524	+	0.631062i	−0.0201732	+	0.0240415i
$690$	−22.8071	+	4.02150i	−0.868250	+	0.153096i
$691$	15.7191	+	27.2263i	0.597984	+	1.03574i	0.993118	+	0.117116i	$0.0373648\pi$
$691$	15.7191	+	27.2263i	0.597984	+	1.03574i	−0.395134	+	0.918623i	$0.629302\pi$
$692$	8.27959	−	14.3407i	0.314743	−	0.545150i
$693$	−1.37984	−	8.81285i	−0.0524157	−	0.334773i
$694$	−9.68114	+	26.5987i	−0.367491	+	1.00967i
$695$	39.8812	+	23.0254i	1.51278	+	0.873404i
$696$	−5.11944	+	2.95571i	−0.194052	+	0.112036i
$697$	−11.0584	+	1.94989i	−0.418865	+	0.0738573i
$698$	8.92153	−	10.6323i	0.337685	−	0.402437i
$699$	−0.369801	+	0.310300i	−0.0139872	+	0.0117366i
$700$	−50.0598	−	8.82690i	−1.89208	−	0.333625i
$701$	4.11583	+	11.3081i	0.155453	+	0.427102i	0.992832	−	0.119520i	$-0.0381355\pi$
$701$	4.11583	+	11.3081i	0.155453	+	0.427102i	−0.837379	+	0.546622i	$0.815913\pi$
$702$			15.3378i			0.578890i
$703$	−22.5193	−	27.1921i	−0.849331	−	1.02557i
$704$	2.90363	−	1.60280i	0.109435	−	0.0604077i
$705$	5.98384	+	16.4405i	0.225364	+	0.619183i
$706$	−1.18518	+	6.72150i	−0.0446049	+	0.252967i
$707$	20.9369	−	17.5682i	0.787415	−	0.660719i
$708$	6.11169	+	5.12832i	0.229691	+	0.192734i
$709$	−5.49173	−	31.1451i	−0.206246	−	1.16968i	−0.895467	−	0.445128i	$-0.853158\pi$
$709$	−5.49173	−	31.1451i	−0.206246	−	1.16968i	0.689221	−	0.724552i	$-0.257953\pi$
$710$	23.7026	−	13.6847i	0.889544	−	0.513578i
$711$	1.59746	−	2.76688i	0.0599093	−	0.103766i
$712$	3.67812	−	10.1055i	0.137843	−	0.378721i
$713$	9.24943	−	25.4126i	0.346394	−	0.951709i
$714$	−30.9095	−	17.8456i	−1.15676	−	0.667856i
$715$	−36.7681	−	22.1811i	−1.37505	−	0.829528i
$716$	7.91592	−	1.39579i	0.295832	−	0.0521631i
$717$	−15.1583	−	12.7193i	−0.566096	−	0.475011i
$718$	−1.87073	−	2.22945i	−0.0698151	−	0.0832024i
$719$	−3.82334	+	21.6833i	−0.142587	+	0.808649i	0.826687	+	0.562663i	$0.190223\pi$
$719$	−3.82334	+	21.6833i	−0.142587	+	0.808649i	−0.969273	+	0.245986i	$0.920888\pi$
$720$	1.98939	−	0.724078i	0.0741401	−	0.0269848i
$721$	40.3895			1.50418
$722$	−3.05741	−	18.7524i	−0.113785	−	0.697892i
$723$		−	21.3419i		−	0.793713i
$724$	4.98535	+	13.6971i	0.185279	+	0.509050i
$725$	−5.58890	+	31.6962i	−0.207567	+	1.17717i
$726$	20.5113	−	2.80869i	0.761247	−	0.104240i
$727$	−17.9791	−	15.0862i	−0.666806	−	0.559517i	0.245312	−	0.969444i	$-0.421110\pi$
$727$	−17.9791	−	15.0862i	−0.666806	−	0.559517i	−0.912118	+	0.409927i	$0.865554\pi$
$728$	−16.1983	+	2.85619i	−0.600348	+	0.105858i
$729$	10.2580	+	17.7674i	0.379927	+	0.658053i
$730$	−2.68500	−	1.55018i	−0.0993762	−	0.0573749i
$731$	2.17454	+	0.791467i	0.0804282	+	0.0292735i
$732$	12.7417	+	4.63759i	0.470945	+	0.171410i
$733$	−21.1998	−	12.2397i	−0.783033	−	0.452084i	0.0544710	−	0.998515i	$-0.482653\pi$
$733$	−21.1998	−	12.2397i	−0.783033	−	0.452084i	−0.837504	+	0.546431i	$0.815986\pi$
$734$	−4.20225	−	7.27851i	−0.155108	−	0.268655i
$735$	−127.436	+	22.4703i	−4.70053	+	0.828830i
$736$	−2.41404	−	2.02562i	−0.0889825	−	0.0746652i
$737$	−39.4835	−	15.2365i	−1.45439	−	0.561244i
$738$	0.276543	−	1.56835i	0.0101797	−	0.0577318i
$739$	−13.4044	−	36.8282i	−0.493087	−	1.35475i	−0.897841	−	0.440321i	$-0.854865\pi$
$739$	−13.4044	−	36.8282i	−0.493087	−	1.35475i	0.404753	−	0.914426i	$-0.367357\pi$
$740$			31.6277i			1.16266i
$741$	17.3498	+	20.9499i	0.637360	+	0.769614i
$742$	−1.23247			−0.0452455
$743$	34.7038	−	12.6312i	1.27316	−	0.463392i	0.384995	−	0.922919i	$-0.374203\pi$
$743$	34.7038	−	12.6312i	1.27316	−	0.463392i	0.888164	+	0.459527i	$0.151981\pi$
$744$	−2.80465	+	15.9060i	−0.102823	+	0.583141i
$745$	37.8011	+	45.0495i	1.38492	+	1.65049i
$746$	−3.61948	−	3.03711i	−0.132519	−	0.111196i
$747$	3.74983	−	0.661197i	0.137199	−	0.0241919i
$748$	6.54938	−	10.8564i	0.239469	−	0.396951i
$749$	−39.9852	−	23.0855i	−1.46103	−	0.843524i
$750$	13.1885	−	36.2352i	0.481577	−	1.32312i
$751$	3.21099	−	8.82212i	0.117171	−	0.321924i	−0.867219	−	0.497927i	$-0.834095\pi$
$751$	3.21099	−	8.82212i	0.117171	−	0.321924i	0.984390	+	0.176003i	$0.0563170\pi$
$752$	−1.19034	+	2.06172i	−0.0434071	+	0.0751833i
$753$	1.80959	−	1.04477i	0.0659451	−	0.0380734i
$754$	1.80845	+	10.2562i	0.0658597	+	0.373509i
$755$	35.3617	+	29.6720i	1.28694	+	1.07987i
$756$	−17.5784	+	14.7500i	−0.639319	+	0.536452i
$757$	−4.98159	+	28.2520i	−0.181059	+	1.02684i	0.749856	+	0.661601i	$0.230123\pi$
$757$	−4.98159	+	28.2520i	−0.181059	+	1.02684i	−0.930915	+	0.365236i	$0.880988\pi$
$758$	−1.96392	−	5.39583i	−0.0713328	−	0.195985i
$759$	−9.50612	−	17.2213i	−0.345050	−	0.625093i
$760$	−8.60520	+	14.6848i	−0.312143	+	0.532675i
$761$		−	21.9919i		−	0.797206i	−0.917124	−	0.398603i	$-0.869495\pi$
$761$		−	21.9919i		−	0.797206i	0.917124	−	0.398603i	$-0.130505\pi$
$762$	0.400323	+	1.09988i	0.0145022	+	0.0398444i
$763$	−38.6548	−	6.81588i	−1.39940	−	0.246751i
$764$	7.94121	−	6.66346i	0.287303	−	0.241076i
$765$	5.20223	−	6.19978i	0.188087	−	0.224153i
$766$	6.26512	−	1.10471i	0.226368	−	0.0399148i
$767$	12.1726	−	7.02783i	0.439526	−	0.253760i
$768$	1.62992	+	0.941034i	0.0588146	+	0.0339566i
$769$	5.56143	−	15.2799i	0.200550	−	0.551007i	−0.798123	−	0.602494i	$-0.794174\pi$
$769$	5.56143	−	15.2799i	0.200550	−	0.551007i	0.998674	+	0.0514867i	$0.0163960\pi$
$770$	−9.93758	−	63.4700i	−0.358125	−	2.28730i
$771$	−8.77593	+	15.2003i	−0.316057	+	0.547427i
$772$	0.0441123	+	0.0764048i	0.00158764	+	0.00274987i
$773$	−5.02718	+	0.886428i	−0.180815	+	0.0318826i	−0.263322	−	0.964708i	$-0.584818\pi$
$773$	−5.02718	+	0.886428i	−0.180815	+	0.0318826i	0.0825073	+	0.996590i	$0.473707\pi$
$774$	−0.210961	+	0.251413i	−0.00758282	+	0.00903685i
$775$	56.5250	+	67.3638i	2.03044	+	2.41978i
$776$	1.81305	+	0.319690i	0.0650848	+	0.0114762i
$777$	25.8642	+	71.0614i	0.927874	+	2.54931i
$778$	−17.4192			−0.624507
$779$	6.33001	+	11.1292i	0.226796	+	0.398747i
$780$		−	24.3673i		−	0.872488i
$781$	17.5178	+	15.2825i	0.626836	+	0.546851i
$782$	−11.8640	−	2.09193i	−0.424254	−	0.0748074i
$783$	9.33921	+	11.1300i	0.333756	+	0.397755i
$784$	−13.4885	−	11.3182i	−0.481733	−	0.404222i
$785$	−5.67659	−	32.1935i	−0.202606	−	1.14904i
$786$	−19.8916	−	34.4533i	−0.709510	−	1.22891i
$787$	23.0582	−	39.9380i	0.821937	−	1.42364i	−0.0823007	−	0.996608i	$-0.526227\pi$
$787$	23.0582	−	39.9380i	0.821937	−	1.42364i	0.904238	−	0.427029i	$-0.140440\pi$
$788$	−1.65032	+	4.53423i	−0.0587904	+	0.161525i
$789$	−55.3323	−	20.1393i	−1.96988	−	0.716979i
$790$	11.5049	−	19.9270i	0.409325	−	0.708971i
$791$	2.33846	+	4.05034i	0.0831462	+	0.144014i
$792$	1.12917	+	1.39946i	0.0401232	+	0.0497277i
$793$	15.3551	−	18.2994i	0.545274	−	0.649832i
$794$	5.50661	−	4.62059i	0.195422	−	0.163979i
$795$	0.317057	−	1.79812i	0.0112449	−	0.0637728i
$796$	−20.9079	+	7.60985i	−0.741061	+	0.269724i
$797$			11.5587i			0.409429i	0.978822	+	0.204715i	$0.0656266\pi$
$797$			11.5587i			0.409429i	−0.978822	+	0.204715i	$0.934373\pi$
$798$	−7.32540	+	40.0311i	−0.259316	+	1.41709i
$799$			9.10097i			0.321969i
$800$	9.62909	−	3.50470i	0.340440	−	0.123910i
$801$	5.74204	+	1.01248i	0.202885	+	0.0357741i
$802$	−12.4594	−	14.8486i	−0.439958	−	0.524321i
$803$	0.507049	−	2.58412i	0.0178934	−	0.0911917i
$804$	−4.17032	−	23.6510i	−0.147076	−	0.834108i
$805$	−52.8630	+	30.5205i	−1.86318	+	1.07571i
$806$	24.6424	+	14.2273i	0.867991	+	0.501135i
$807$	12.8613	+	4.68114i	0.452740	+	0.164784i
$808$	−1.88440	+	5.17734i	−0.0662929	+	0.182138i
$809$	−22.7369	−	13.1271i	−0.799386	−	0.461526i	0.0438702	−	0.999037i	$-0.486031\pi$
$809$	−22.7369	−	13.1271i	−0.799386	−	0.461526i	−0.843257	+	0.537511i	$0.819365\pi$
$810$	−20.1731	−	34.9408i	−0.708809	−	1.22769i
$811$	−0.972598	−	5.51588i	−0.0341525	−	0.193689i	0.962958	−	0.269651i	$-0.0869083\pi$
$811$	−0.972598	−	5.51588i	−0.0341525	−	0.193689i	−0.997111	+	0.0759622i	$0.975797\pi$
$812$	−10.0153	+	11.9357i	−0.351467	+	0.418862i
$813$	−0.474212	+	0.397911i	−0.0166313	+	0.0139554i
$814$	−25.4158	+	8.70110i	−0.890824	+	0.304973i
$815$	29.6973	−	10.8089i	1.04025	−	0.378621i
$816$	7.19487			0.251871
$817$	0.0170372	−	2.63852i	0.000596057	−	0.0923102i
$818$	9.86311			0.344855
$819$	−3.05007	−	8.37999i	−0.106578	−	0.292821i
$820$	1.99166	−	11.2953i	0.0695517	−	0.394447i
$821$	−29.4609	−	35.1101i	−1.02819	−	1.22535i	−0.973936	−	0.226824i	$-0.927166\pi$
$821$	−29.4609	−	35.1101i	−1.02819	−	1.22535i	−0.0542560	−	0.998527i	$-0.517279\pi$
$822$	22.8413	−	27.2212i	0.796681	−	0.949448i
$823$	−7.71861	−	43.7744i	−0.269054	−	1.52588i	−0.757238	−	0.653139i	$-0.773452\pi$
$823$	−7.71861	−	43.7744i	−0.269054	−	1.52588i	0.488184	−	0.872741i	$-0.337660\pi$
$824$	−7.05116	+	4.07099i	−0.245639	+	0.141820i
$825$	63.9515	+	1.22947i	2.22650	+	0.0428048i
$826$	19.7604	+	7.19221i	0.687554	+	0.250249i
$827$	−32.6659	−	11.8894i	−1.13591	−	0.413436i	−0.295472	−	0.955351i	$-0.595477\pi$
$827$	−32.6659	−	11.8894i	−1.13591	−	0.413436i	−0.840433	+	0.541916i	$0.817699\pi$
$828$	0.854281	−	1.47966i	0.0296883	−	0.0514216i
$829$	4.85015	−	2.80023i	0.168453	−	0.0972561i	−0.413403	−	0.910548i	$-0.635660\pi$
$829$	4.85015	−	2.80023i	0.168453	−	0.0972561i	0.581856	+	0.813292i	$0.302327\pi$
$830$	27.0062	−	4.76193i	0.937400	−	0.165289i
$831$	32.7619	+	27.4905i	1.13650	+	0.953635i
$832$	2.53999	−	2.13131i	0.0880584	−	0.0738898i
$833$	−66.2904	−	11.6888i	−2.29683	−	0.404992i
$834$	−20.8576	+	7.59156i	−0.722241	+	0.262874i
$835$	21.5480			0.745700
$836$	−14.1680	−	2.87514i	−0.490012	−	0.0994389i
$837$	39.6971			1.37213
$838$	−36.6173	+	13.3276i	−1.26493	+	0.460395i
$839$	28.0266	+	4.94184i	0.967584	+	0.170611i	0.635042	−	0.772477i	$-0.280983\pi$
$839$	28.0266	+	4.94184i	0.967584	+	0.170611i	0.332542	+	0.943088i	$0.392094\pi$
$840$	27.9268	−	23.4333i	0.963565	−	0.808527i
$841$	−14.6580	−	12.2995i	−0.505447	−	0.424121i
$842$	−8.96278	+	1.58038i	−0.308878	+	0.0544635i
$843$	23.0689	−	13.3188i	0.794535	−	0.458725i
$844$	11.8732	−	20.5651i	0.408694	−	0.707878i
$845$	7.36039	+	2.67896i	0.253205	+	0.0921591i
$846$	−1.21290	−	0.441461i	−0.0417005	−	0.0151777i
$847$	48.2703	−	25.4471i	1.65859	−	0.874371i
$848$	0.215164	−	0.124225i	0.00738876	−	0.00426590i
$849$	6.68232	+	37.8973i	0.229337	+	1.30063i
$850$	25.1800	−	30.0083i	0.863666	−	1.02928i
$851$	16.4071	+	19.5532i	0.562427	+	0.670275i
$852$	−2.29075	+	12.9915i	−0.0784799	+	0.445081i
$853$	10.0470	+	27.6039i	0.344003	+	0.945140i	0.984221	+	0.176946i	$0.0566218\pi$
$853$	10.0470	+	27.6039i	0.344003	+	0.945140i	−0.640218	+	0.768193i	$0.721156\pi$
$854$	35.7391			1.22297
$855$	−8.65099	−	3.21211i	−0.295857	−	0.109852i
$856$	9.30743			0.318122
$857$	36.0008	−	13.1032i	1.22976	−	0.447597i	0.356246	−	0.934392i	$-0.384056\pi$
$857$	36.0008	−	13.1032i	1.22976	−	0.447597i	0.873516	+	0.486795i	$0.161834\pi$
$858$	19.5814	−	6.70369i	0.668498	−	0.228860i
$859$	−27.6645	+	23.2132i	−0.943899	+	0.792025i	−0.978260	−	0.207384i	$-0.933505\pi$
$859$	−27.6645	+	23.2132i	−0.943899	+	0.792025i	0.0343605	+	0.999410i	$0.489061\pi$
$860$	−1.51933	+	1.81067i	−0.0518089	+	0.0617434i
$861$	−4.76206	−	27.0070i	−0.162291	−	0.920396i
$862$	−1.54919	−	2.68327i	−0.0527656	−	0.0913927i
$863$	14.5109	+	8.37790i	0.493958	+	0.285187i	0.726215	−	0.687468i	$-0.241278\pi$
$863$	14.5109	+	8.37790i	0.493958	+	0.285187i	−0.232257	+	0.972654i	$0.574611\pi$
$864$	1.58211	−	4.34682i	0.0538246	−	0.147882i
$865$	60.7600	+	22.1148i	2.06590	+	0.751926i
$866$	32.6516	+	18.8514i	1.10954	+	0.640596i
$867$	−3.88859	+	2.24508i	−0.132063	+	0.0762469i
$868$	7.39234	+	41.9241i	0.250912	+	1.42300i
$869$	19.1783	+	3.76312i	0.650581	+	0.127655i
$870$	−14.8372	−	17.6823i	−0.503029	−	0.599486i
$871$	−41.6671	−	7.34704i	−1.41184	−	0.248945i
$872$	7.43531	−	2.70623i	0.251791	−	0.0916445i
$873$			0.998159i			0.0337826i
$874$	2.29787	+	13.5426i	0.0777266	+	0.458086i
$875$		−	101.636i		−	3.43593i
$876$	1.40424	−	0.511101i	0.0474448	−	0.0172685i
$877$	−7.21209	+	40.9018i	−0.243535	+	1.38116i	0.580335	+	0.814378i	$0.302922\pi$
$877$	−7.21209	+	40.9018i	−0.243535	+	1.38116i	−0.823870	+	0.566779i	$0.808190\pi$
$878$	−13.5914	+	11.4045i	−0.458687	+	0.384884i
$879$	−17.8055	+	21.2197i	−0.600564	+	0.715724i
$880$	8.13225	+	10.0789i	0.274138	+	0.339760i
$881$	−2.26374	−	3.92092i	−0.0762674	−	0.132099i	0.825369	−	0.564593i	$-0.190967\pi$
$881$	−2.26374	−	3.92092i	−0.0762674	−	0.132099i	−0.901637	+	0.432494i	$0.857634\pi$
$882$	4.77333	−	8.26765i	0.160726	−	0.278386i
$883$	−19.4015	−	7.06158i	−0.652914	−	0.237641i	−0.00573982	−	0.999984i	$-0.501827\pi$
$883$	−19.4015	−	7.06158i	−0.652914	−	0.237641i	−0.647174	+	0.762342i	$0.724049\pi$
$884$	4.33529	−	11.9111i	0.145812	−	0.400614i
$885$	−15.5765	+	26.9793i	−0.523599	+	0.906901i
$886$	10.6756	+	18.4906i	0.358652	+	0.621204i
$887$	−0.880735	−	4.99490i	−0.0295722	−	0.167712i	0.966445	−	0.256874i	$-0.0826924\pi$
$887$	−0.880735	−	4.99490i	−0.0295722	−	0.167712i	−0.996017	+	0.0891614i	$0.971581\pi$
$888$	−11.6779	−	9.79889i	−0.391883	−	0.328829i
$889$	1.98303	+	2.36328i	0.0665087	+	0.0792620i
$890$	41.3541	+	7.29184i	1.38619	+	0.244423i
$891$	22.5284	−	25.8235i	0.754730	−	0.865121i
$892$			2.99037i			0.100125i
$893$	9.77401	−	3.48614i	0.327075	−	0.116659i
$894$	−28.3451			−0.948003
$895$	10.7348	+	29.4937i	0.358825	+	0.985864i
$896$	4.88529	+	0.861408i	0.163206	+	0.0287776i
$897$	−12.6407	−	15.0646i	−0.422061	−	0.502992i
$898$	14.0714	−	16.7696i	0.469568	−	0.559609i
$899$	26.5449	−	4.68059i	0.885323	−	0.156106i
$900$	2.77786	+	4.81139i	0.0925953	+	0.160380i
$901$	0.474895	−	0.822542i	0.0158210	−	0.0274028i
$902$	9.62473	−	1.50695i	0.320468	−	0.0501761i
$903$	−1.93294	+	5.31071i	−0.0643242	+	0.176729i
$904$	−0.816494	−	0.471403i	−0.0271562	−	0.0156786i
$905$	−49.2910	+	28.4582i	−1.63849	+	0.945981i
$906$	−21.9115	+	3.86359i	−0.727962	+	0.128359i
$907$	14.0320	−	16.7227i	0.465925	−	0.555268i	−0.481001	−	0.876720i	$-0.659727\pi$
$907$	14.0320	−	16.7227i	0.465925	−	0.555268i	0.946926	+	0.321452i	$0.104171\pi$
$908$	−21.3258	+	17.8945i	−0.707723	+	0.593850i
$909$	−2.94180	−	0.518719i	−0.0975733	−	0.0172048i
$910$	−21.9666	−	60.3526i	−0.728184	−	2.00067i
$911$			13.5929i			0.450352i	0.974318	+	0.225176i	$0.0722956\pi$
$911$			13.5929i			0.450352i	−0.974318	+	0.225176i	$0.927704\pi$
$912$	−2.75601	−	7.72695i	−0.0912606	−	0.255865i
$913$	11.2564	+	20.3920i	0.372531	+	0.674877i
$914$	−0.287965	−	0.791177i	−0.00952503	−	0.0261698i
$915$	−9.19398	+	52.1417i	−0.303944	+	1.72375i
$916$	1.00161	−	0.840448i	0.0330940	−	0.0277692i
$917$	−80.3262	−	67.4017i	−2.65260	−	2.22580i
$918$	−3.07075	−	17.4151i	−0.101350	−	0.574783i
$919$	−36.3895	+	21.0095i	−1.20038	+	0.693039i	−0.960640	−	0.277798i	$-0.910396\pi$
$919$	−36.3895	+	21.0095i	−1.20038	+	0.693039i	−0.239740	+	0.970837i	$0.577062\pi$
$920$	6.15252	−	10.6565i	0.202842	−	0.351333i
$921$	−12.8032	+	35.1765i	−0.421880	+	1.15910i
$922$	−10.3224	+	28.3606i	−0.339950	+	0.934005i
$923$	20.1271	+	11.6204i	0.662493	+	0.382490i
$924$	26.5139	+	15.9951i	0.872242	+	0.526199i
$925$	−81.7382	+	14.4126i	−2.68753	+	0.473885i
$926$	−18.6723	−	15.6680i	−0.613611	−	0.514881i
$927$	−2.83752	−	3.38162i	−0.0931962	−	0.111067i
$928$	0.545415	−	3.09320i	0.0179041	−	0.101539i
$929$	3.25664	−	1.18532i	0.106847	−	0.0388891i	−0.288043	−	0.957617i	$-0.593005\pi$
$929$	3.25664	−	1.18532i	0.106847	−	0.0388891i	0.394890	+	0.918728i	$0.370783\pi$
$930$	−63.0669			−2.06805
$931$	12.8395	+	75.6701i	0.420796	+	2.47999i
$932$		−	0.256495i		−	0.00840177i
$933$	12.7171	+	34.9399i	0.416339	+	1.14388i
$934$	−3.32043	+	18.8311i	−0.108648	+	0.616171i
$935$	46.1885	+	17.8239i	1.51052	+	0.582905i
$936$	1.37713	+	1.15555i	0.0450127	+	0.0377702i
$937$	42.7413	−	7.53645i	1.39630	−	0.246205i	0.575677	−	0.817677i	$-0.304739\pi$
$937$	42.7413	−	7.53645i	1.39630	−	0.246205i	0.820621	+	0.571472i	$0.193628\pi$
$938$	−31.6499	−	54.8192i	−1.03341	−	1.78991i
$939$	0.868710	+	0.501550i	0.0283493	+	0.0163675i
$940$	−8.73532	−	3.17940i	−0.284915	−	0.103700i
$941$	−1.59690	−	0.581223i	−0.0520574	−	0.0189473i	0.315860	−	0.948806i	$-0.397707\pi$
$941$	−1.59690	−	0.581223i	−0.0520574	−	0.0189473i	−0.367918	+	0.929858i	$0.619929\pi$
$942$	13.6455	+	7.87824i	0.444595	+	0.256687i
$943$	−4.62819	−	8.01626i	−0.150715	−	0.261045i
$944$	−4.17469	+	0.736110i	−0.135874	+	0.0239583i
$945$	−68.6391	−	57.5950i	−2.23283	−	1.87357i
$946$	−1.87303	−	0.722795i	−0.0608975	−	0.0235001i
$947$	3.11480	−	17.6649i	0.101218	−	0.574033i	−0.891446	−	0.453126i	$-0.850309\pi$
$947$	3.11480	−	17.6649i	0.101218	−	0.574033i	0.992664	−	0.120907i	$-0.0385802\pi$
$948$	3.79319	+	10.4217i	0.123197	+	0.338482i
$949$		−	2.63268i		−	0.0854605i
$950$	−41.8727	−	15.5473i	−1.35853	−	0.504422i
$951$	−1.45291			−0.0471138
$952$	17.8202	−	6.48602i	0.577556	−	0.210213i
$953$	3.03137	−	17.1918i	0.0981958	−	0.556896i	−0.895525	−	0.445011i	$-0.853200\pi$
$953$	3.03137	−	17.1918i	0.0981958	−	0.556896i	0.993721	−	0.111885i	$-0.0356890\pi$
$954$	0.0865859	+	0.103189i	0.00280332	+	0.00334087i
$955$	31.0084	+	26.0192i	1.00341	+	0.841960i
$956$	10.3541	−	1.82571i	0.334875	−	0.0590475i
$957$	10.1275	−	16.7877i	0.327377	−	0.542669i
$958$	−13.5172	−	7.80416i	−0.436721	−	0.252141i
$959$	32.0338	−	88.0121i	1.03442	−	2.84206i
$960$	−2.51351	+	6.90580i	−0.0811230	+	0.222884i
$961$	21.3228	−	36.9322i	0.687832	−	1.19136i
$962$	−23.2586	+	13.4284i	−0.749887	+	0.432948i
$963$	0.876276	+	4.96961i	0.0282376	+	0.160143i
$964$	8.68664	+	7.28895i	0.279778	+	0.234761i
$965$	−0.263898	+	0.221437i	−0.00849519	+	0.00712831i
$966$	5.10897	−	28.9744i	0.164378	−	0.932237i
$967$	10.9897	+	30.1940i	0.353405	+	0.970973i	0.981268	+	0.192649i	$0.0617079\pi$
$967$	10.9897	+	30.1940i	0.353405	+	0.970973i	−0.627862	+	0.778324i	$0.716070\pi$
$968$	−5.86209	+	9.30784i	−0.188415	+	0.299165i
$969$	−23.8938	−	20.3136i	−0.767580	−	0.652568i
$970$			7.18872i			0.230816i
$971$	−14.2689	−	39.2034i	−0.457909	−	1.25810i	−0.927038	−	0.374966i	$-0.877654\pi$
$971$	−14.2689	−	39.2034i	−0.457909	−	1.25810i	0.469129	−	0.883130i	$-0.344568\pi$
$972$	5.48462	+	0.967087i	0.175919	+	0.0310193i
$973$	−44.8164	+	37.6054i	−1.43675	+	1.20557i
$974$	−7.93638	+	9.45821i	−0.254298	+	0.303061i
$975$	62.9745	−	11.1041i	2.01680	−	0.355616i
$976$	−6.23930	+	3.60226i	−0.199715	+	0.115306i
$977$	11.9574	+	6.90358i	0.382550	+	0.220865i	0.678927	−	0.734206i	$-0.262445\pi$
$977$	11.9574	+	6.90358i	0.382550	+	0.220865i	−0.296377	+	0.955071i	$0.595779\pi$
$978$	−5.20985	+	14.3139i	−0.166593	+	0.457710i
$979$	5.51725	+	35.2380i	0.176332	+	1.12621i
$980$	34.3775	−	59.5435i	1.09815	−	1.90205i
$981$	2.14498	+	3.71522i	0.0684840	+	0.118618i
$982$	24.3152	−	4.28743i	0.775930	−	0.136817i
$983$	−19.0040	+	22.6481i	−0.606134	+	0.722362i	−0.978620	−	0.205676i	$-0.934061\pi$
$983$	−19.0040	+	22.6481i	−0.606134	+	0.722362i	0.372487	+	0.928038i	$0.378505\pi$
$984$	3.55348	+	4.23487i	0.113281	+	0.135003i
$985$	−18.5551	−	3.27176i	−0.591213	−	0.104247i
$986$	−4.10673	−	11.2832i	−0.130785	−	0.359329i
$987$	−22.2266			−0.707481
$988$	−14.4526	−	0.0933221i	−0.459799	−	0.00296897i
$989$			1.90758i			0.0606575i
$990$	−4.61589	+	5.29104i	−0.146703	+	0.168160i
$991$	−14.7286	−	2.59705i	−0.467869	−	0.0824979i	−0.0652567	−	0.997869i	$-0.520787\pi$
$991$	−14.7286	−	2.59705i	−0.467869	−	0.0824979i	−0.402612	+	0.915371i	$0.631898\pi$
$992$	−5.51621	−	6.57396i	−0.175140	−	0.208724i
$993$	−13.5217	−	11.3461i	−0.429099	−	0.360057i
$994$	6.03784	+	34.2423i	0.191509	+	1.08610i
$995$	−43.4398	−	75.2399i	−1.37713	−	2.38526i
$996$	−6.60883	+	11.4468i	−0.209409	+	0.362707i
$997$	14.3446	−	39.4116i	0.454299	−	1.24818i	−0.475371	−	0.879785i	$-0.657686\pi$
$997$	14.3446	−	39.4116i	0.454299	−	1.24818i	0.929671	−	0.368392i	$-0.120091\pi$
$998$	29.7088	+	10.8131i	0.940417	+	0.342284i
$999$	−18.7340	+	32.4482i	−0.592717	+	1.02662i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.q.a.109.3	✓	60
11.10	odd	2		418.2.q.b.109.3	yes	60
19.15	odd	18		418.2.q.b.395.3	yes	60
209.186	even	18	inner	418.2.q.a.395.3	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.q.a.109.3	✓	60	1.1	even	1	trivial
418.2.q.a.395.3	yes	60	209.186	even	18	inner
418.2.q.b.109.3	yes	60	11.10	odd	2
418.2.q.b.395.3	yes	60	19.15	odd	18

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:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.q (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(-1.85347 - 0.326818i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.99121 + 2.50992i) q^{5} +(-1.85347 + 0.326818i) q^{6} +(-4.29605 + 2.48032i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.509479 + 0.185435i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(-1.85347 - 0.326818i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.99121 + 2.50992i) q^{5} +(-1.85347 + 0.326818i) q^{6} +(-4.29605 + 2.48032i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.509479 + 0.185435i) q^{9} +(3.66926 + 1.33550i) q^{10} +(-0.0637507 + 3.31601i) q^{11} +(-1.62992 + 0.941034i) q^{12} +(0.575770 + 3.26535i) q^{13} +(-3.18864 + 3.80008i) q^{14} +(-4.72385 - 5.62966i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-1.30749 - 3.59231i) q^{17} +0.542177 q^{18} +(-3.35713 + 2.78023i) q^{19} +3.90475 q^{20} +(8.77323 - 3.19319i) q^{21} +(1.07424 + 3.13784i) q^{22} +(2.41404 - 2.02562i) q^{23} +(-1.20977 + 1.44175i) q^{24} +(1.77938 + 10.0914i) q^{25} +(1.65786 + 2.87150i) q^{26} +(4.00605 + 2.31289i) q^{27} +(-1.69664 + 4.66148i) q^{28} +(2.95150 + 1.07426i) q^{29} +(-6.36442 - 3.67450i) q^{30} +(7.43197 - 4.29085i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(1.20189 - 6.12531i) q^{33} +(-2.45729 - 2.92848i) q^{34} +(-19.0758 - 3.36358i) q^{35} +(0.509479 - 0.185435i) q^{36} +8.09980i q^{37} +(-2.20378 + 3.76077i) q^{38} -6.24042i q^{39} +(3.66926 - 1.33550i) q^{40} +(0.510060 - 2.89270i) q^{41} +(7.15200 - 6.00124i) q^{42} +(-0.389099 + 0.463710i) q^{43} +(2.08266 + 2.58119i) q^{44} +(1.05853 + 1.83343i) q^{45} +(1.57565 - 2.72911i) q^{46} +(-2.23710 - 0.814238i) q^{47} +(-0.643705 + 1.76856i) q^{48} +(8.80402 - 15.2490i) q^{49} +(5.12353 + 8.87422i) q^{50} +(1.24938 + 7.08557i) q^{51} +(2.53999 + 2.13131i) q^{52} +(0.159701 + 0.190324i) q^{53} +(4.55551 + 0.803260i) q^{54} +(-8.51363 + 9.75888i) q^{55} +4.96065i q^{56} +(7.13099 - 4.05591i) q^{57} +3.14092 q^{58} +(-1.44985 - 3.98344i) q^{59} +(-7.23735 - 1.27614i) q^{60} +(-4.63098 - 5.51898i) q^{61} +(5.51621 - 6.57396i) q^{62} +(-2.64869 + 0.467035i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-6.47354 + 11.2125i) q^{65} +(-0.965571 - 6.16698i) q^{66} +(-4.36431 + 11.9908i) q^{67} +(-3.31069 - 1.91143i) q^{68} +(-5.13636 + 2.96548i) q^{69} +(-19.0758 + 3.36358i) q^{70} +(4.50547 - 5.36941i) q^{71} +(0.415331 - 0.348504i) q^{72} +(-0.781937 - 0.137877i) q^{73} +(2.77029 + 7.61132i) q^{74} -19.2857i q^{75} +(-0.784617 + 4.28770i) q^{76} +(-7.95091 - 14.4039i) q^{77} +(-2.13435 - 5.86408i) q^{78} +(1.02327 - 5.80323i) q^{79} +(2.99121 - 2.50992i) q^{80} +(-7.91521 - 6.64165i) q^{81} +(-0.510060 - 2.89270i) q^{82} +(6.08205 - 3.51147i) q^{83} +(4.66814 - 8.08545i) q^{84} +(5.10544 - 14.0271i) q^{85} +(-0.207035 + 0.568825i) q^{86} +(-5.11944 - 2.95571i) q^{87} +(2.83988 + 1.71322i) q^{88} +(10.5907 - 1.86743i) q^{89} +(1.62176 + 1.36082i) q^{90} +(-10.5727 - 12.6000i) q^{91} +(0.547217 - 3.10342i) q^{92} +(-15.1773 + 5.52408i) q^{93} -2.38067 q^{94} +(-17.0201 - 0.109900i) q^{95} +1.88207i q^{96} +(0.629666 + 1.72999i) q^{97} +(3.05760 - 17.3405i) q^{98} +(-0.647385 + 1.67762i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 3 q^{3} - 3 q^{6} - 18 q^{7} + 30 q^{8} - 3 q^{9}+O(q^{10}) \) 60 * q - 3 * q^3 - 3 * q^6 - 18 * q^7 + 30 * q^8 - 3 * q^9	\( 60 q - 3 q^{3} - 3 q^{6} - 18 q^{7} + 30 q^{8} - 3 q^{9} + 3 q^{11} + 6 q^{13} - 12 q^{14} + 24 q^{15} - 6 q^{17} + 60 q^{18} - 30 q^{19} - 12 q^{20} + 12 q^{21} + 12 q^{22} + 3 q^{24} - 12 q^{25} + 6 q^{26} + 9 q^{27} + 6 q^{28} - 3 q^{29} - 9 q^{31} - 42 q^{33} - 6 q^{34} - 24 q^{35} - 3 q^{36} + 6 q^{38} + 15 q^{41} + 6 q^{42} - 3 q^{43} + 12 q^{44} - 48 q^{45} + 3 q^{46} + 54 q^{47} - 6 q^{48} + 6 q^{49} + 36 q^{50} - 45 q^{51} - 3 q^{52} + 24 q^{53} - 27 q^{54} + 6 q^{55} + 30 q^{57} + 24 q^{58} - 39 q^{59} + 12 q^{60} + 54 q^{61} - 66 q^{63} - 30 q^{64} - 63 q^{66} + 9 q^{67} - 27 q^{68} + 54 q^{69} - 24 q^{70} - 33 q^{71} - 6 q^{72} + 12 q^{74} + 18 q^{77} + 36 q^{79} - 93 q^{81} - 15 q^{82} - 36 q^{83} + 24 q^{84} - 60 q^{85} - 3 q^{86} + 54 q^{87} - 3 q^{88} - 3 q^{89} - 24 q^{90} - 12 q^{91} - 102 q^{93} - 12 q^{94} + 24 q^{95} - 6 q^{97} - 18 q^{98} - 78 q^{99}+O(q^{100}) \) 60 * q - 3 * q^3 - 3 * q^6 - 18 * q^7 + 30 * q^8 - 3 * q^9 + 3 * q^11 + 6 * q^13 - 12 * q^14 + 24 * q^15 - 6 * q^17 + 60 * q^18 - 30 * q^19 - 12 * q^20 + 12 * q^21 + 12 * q^22 + 3 * q^24 - 12 * q^25 + 6 * q^26 + 9 * q^27 + 6 * q^28 - 3 * q^29 - 9 * q^31 - 42 * q^33 - 6 * q^34 - 24 * q^35 - 3 * q^36 + 6 * q^38 + 15 * q^41 + 6 * q^42 - 3 * q^43 + 12 * q^44 - 48 * q^45 + 3 * q^46 + 54 * q^47 - 6 * q^48 + 6 * q^49 + 36 * q^50 - 45 * q^51 - 3 * q^52 + 24 * q^53 - 27 * q^54 + 6 * q^55 + 30 * q^57 + 24 * q^58 - 39 * q^59 + 12 * q^60 + 54 * q^61 - 66 * q^63 - 30 * q^64 - 63 * q^66 + 9 * q^67 - 27 * q^68 + 54 * q^69 - 24 * q^70 - 33 * q^71 - 6 * q^72 + 12 * q^74 + 18 * q^77 + 36 * q^79 - 93 * q^81 - 15 * q^82 - 36 * q^83 + 24 * q^84 - 60 * q^85 - 3 * q^86 + 54 * q^87 - 3 * q^88 - 3 * q^89 - 24 * q^90 - 12 * q^91 - 102 * q^93 - 12 * q^94 + 24 * q^95 - 6 * q^97 - 18 * q^98 - 78 * q^99

Introduction

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