LMFDB - Embedded newform 232.2.o.a.109.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(5,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 7, 11]))

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

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

chi := DirichletCharacter("232.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.o (of order $14$, 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:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			109.17
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.461389 + 1.33683i) q^{2} +(2.40805 + 1.15965i) q^{3} +(-1.57424 + 1.23360i) q^{4} +(0.540353 - 0.123332i) q^{5} +(-0.439217 + 3.75421i) q^{6} +(-1.17336 - 0.565062i) q^{7} +(-2.37545 - 1.53533i) q^{8} +(2.58342 + 3.23951i) q^{9} +O(q^{10})$	\(q+(0.461389 + 1.33683i) q^{2} +(2.40805 + 1.15965i) q^{3} +(-1.57424 + 1.23360i) q^{4} +(0.540353 - 0.123332i) q^{5} +(-0.439217 + 3.75421i) q^{6} +(-1.17336 - 0.565062i) q^{7} +(-2.37545 - 1.53533i) q^{8} +(2.58342 + 3.23951i) q^{9} +(0.414187 + 0.665458i) q^{10} +(0.760023 - 0.953039i) q^{11} +(-5.22139 + 1.14499i) q^{12} +(-1.60502 - 1.27996i) q^{13} +(0.214016 - 1.82930i) q^{14} +(1.44422 + 0.329634i) q^{15} +(0.956465 - 3.88396i) q^{16} +0.926647i q^{17} +(-3.13872 + 4.94828i) q^{18} +(4.27783 - 2.06010i) q^{19} +(-0.698503 + 0.860734i) q^{20} +(-2.17024 - 2.72139i) q^{21} +(1.62472 + 0.576302i) q^{22} +(0.344052 - 1.50739i) q^{23} +(-3.93975 - 6.45184i) q^{24} +(-4.22807 + 2.03613i) q^{25} +(0.970551 - 2.73619i) q^{26} +(0.680077 + 2.97961i) q^{27} +(2.54422 - 0.557917i) q^{28} +(0.151131 - 5.38304i) q^{29} +(0.225682 + 2.08277i) q^{30} +(-4.24882 + 0.969766i) q^{31} +(5.63351 - 0.513386i) q^{32} +(2.93537 - 1.41360i) q^{33} +(-1.23877 + 0.427545i) q^{34} +(-0.703721 - 0.160620i) q^{35} +(-8.06319 - 1.91286i) q^{36} +(6.15711 + 7.72077i) q^{37} +(4.72775 + 4.76824i) q^{38} +(-2.38064 - 4.94346i) q^{39} +(-1.47294 - 0.536649i) q^{40} +10.8109i q^{41} +(2.63672 - 4.15686i) q^{42} +(0.392799 - 1.72096i) q^{43} +(-0.0207908 + 2.43788i) q^{44} +(1.79550 + 1.43186i) q^{45} +(2.17387 - 0.235554i) q^{46} +(-6.26573 - 4.99675i) q^{47} +(6.80727 - 8.24360i) q^{48} +(-3.30694 - 4.14678i) q^{49} +(-4.67275 - 4.71277i) q^{50} +(-1.07459 + 2.23141i) q^{51} +(4.10563 + 0.0350138i) q^{52} +(-4.55525 + 1.03971i) q^{53} +(-3.66946 + 2.28391i) q^{54} +(0.293141 - 0.608713i) q^{55} +(1.91971 + 3.14377i) q^{56} +12.6902 q^{57} +(7.26596 - 2.28164i) q^{58} -8.00793i q^{59} +(-2.68018 + 1.26267i) q^{60} +(10.7955 + 5.19882i) q^{61} +(-3.25677 - 5.23252i) q^{62} +(-1.20077 - 5.26091i) q^{63} +(3.28555 + 7.29419i) q^{64} +(-1.02514 - 0.493679i) q^{65} +(3.24409 + 3.27188i) q^{66} +(-2.94019 + 2.34473i) q^{67} +(-1.14311 - 1.45877i) q^{68} +(2.57655 - 3.23089i) q^{69} +(-0.109968 - 1.01486i) q^{70} +(-0.766650 + 0.961349i) q^{71} +(-1.16310 - 11.6617i) q^{72} +(10.2476 + 2.33896i) q^{73} +(-7.48056 + 11.7933i) q^{74} -12.5426 q^{75} +(-4.19300 + 8.52022i) q^{76} +(-1.43031 + 0.688801i) q^{77} +(5.51017 - 5.46338i) q^{78} +(6.14581 - 4.90112i) q^{79} +(0.0378114 - 2.21668i) q^{80} +(0.948377 - 4.15511i) q^{81} +(-14.4523 + 4.98801i) q^{82} +(-4.73421 - 9.83070i) q^{83} +(6.77358 + 1.60692i) q^{84} +(0.114285 + 0.500717i) q^{85} +(2.48187 - 0.268928i) q^{86} +(6.60640 - 12.7874i) q^{87} +(-3.26863 + 1.09702i) q^{88} +(-13.4779 + 3.07625i) q^{89} +(-1.08573 + 3.06092i) q^{90} +(1.16001 + 2.40879i) q^{91} +(1.31790 + 2.79742i) q^{92} +(-11.3560 - 2.59192i) q^{93} +(3.78888 - 10.6817i) q^{94} +(2.05746 - 1.64077i) q^{95} +(14.1611 + 5.29667i) q^{96} +(-4.78701 - 9.94034i) q^{97} +(4.01775 - 6.33410i) q^{98} +5.05084 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{13}{14}\right)$	$-1$	$1$

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 $

$2$	0.461389	+	1.33683i	0.326251	+	0.945283i
$2$	0.461389	+	1.33683i	0.326251	+	0.945283i
$3$	2.40805	+	1.15965i	1.39029	+	0.669527i	0.971166	−	0.238404i	$-0.0766242\pi$
$3$	2.40805	+	1.15965i	1.39029	+	0.669527i	0.419120	+	0.907931i	$0.362338\pi$
$4$	−1.57424	+	1.23360i	−0.787120	+	0.616800i
$5$	0.540353	−	0.123332i	0.241653	−	0.0551558i	−0.0999787	−	0.994990i	$-0.531877\pi$
$5$	0.540353	−	0.123332i	0.241653	−	0.0551558i	0.341632	+	0.939834i	$0.389020\pi$
$6$	−0.439217	+	3.75421i	−0.179309	+	1.53265i
$7$	−1.17336	−	0.565062i	−0.443490	−	0.213573i	0.198793	−	0.980042i	$-0.436298\pi$
$7$	−1.17336	−	0.565062i	−0.443490	−	0.213573i	−0.642282	+	0.766468i	$0.722012\pi$
$8$	−2.37545	−	1.53533i	−0.839849	−	0.542820i
$9$	2.58342	+	3.23951i	0.861141	+	1.07984i
$10$	0.414187	+	0.665458i	0.130978	+	0.210436i
$11$	0.760023	−	0.953039i	0.229156	−	0.287352i	−0.653939	−	0.756548i	$-0.726885\pi$
$11$	0.760023	−	0.953039i	0.229156	−	0.287352i	0.883094	+	0.469195i	$0.155456\pi$
$12$	−5.22139	+	1.14499i	−1.50729	+	0.330530i
$13$	−1.60502	−	1.27996i	−0.445151	−	0.354996i	0.375115	−	0.926978i	$-0.377603\pi$
$13$	−1.60502	−	1.27996i	−0.445151	−	0.354996i	−0.820266	+	0.571982i	$0.806175\pi$
$14$	0.214016	−	1.82930i	0.0571982	−	0.488902i
$15$	1.44422	+	0.329634i	0.372896	+	0.0851110i
$16$	0.956465	−	3.88396i	0.239116	−	0.970991i
$17$			0.926647i			0.224745i	0.993666	+	0.112372i	$0.0358450\pi$
$17$			0.926647i			0.224745i	−0.993666	+	0.112372i	$0.964155\pi$
$18$	−3.13872	+	4.94828i	−0.739803	+	1.16632i
$19$	4.27783	−	2.06010i	0.981402	−	0.472618i	0.126815	−	0.991926i	$-0.459525\pi$
$19$	4.27783	−	2.06010i	0.981402	−	0.472618i	0.854587	+	0.519308i	$0.173810\pi$
$20$	−0.698503	+	0.860734i	−0.156190	+	0.192466i
$21$	−2.17024	−	2.72139i	−0.473584	−	0.593856i
$22$	1.62472	+	0.576302i	0.346391	+	0.122868i
$23$	0.344052	−	1.50739i	0.0717399	−	0.314313i	−0.926308	−	0.376767i	$-0.877036\pi$
$23$	0.344052	−	1.50739i	0.0717399	−	0.314313i	0.998048	+	0.0624543i	$0.0198928\pi$
$24$	−3.93975	−	6.45184i	−0.804199	−	1.31698i
$25$	−4.22807	+	2.03613i	−0.845615	+	0.407227i
$26$	0.970551	−	2.73619i	0.190341	−	0.536612i
$27$	0.680077	+	2.97961i	0.130881	+	0.573426i
$28$	2.54422	−	0.557917i	0.480811	−	0.105436i
$29$	0.151131	−	5.38304i	0.0280644	−	0.999606i
$29$	0.151131	−	5.38304i	0.0280644	−	0.999606i
$30$	0.225682	+	2.08277i	0.0412037	+	0.380260i
$31$	−4.24882	+	0.969766i	−0.763111	+	0.174175i	−0.586327	−	0.810075i	$-0.699427\pi$
$31$	−4.24882	+	0.969766i	−0.763111	+	0.174175i	−0.176784	+	0.984250i	$0.556569\pi$
$32$	5.63351	−	0.513386i	0.995873	−	0.0907546i
$33$	2.93537	−	1.41360i	0.510982	−	0.246076i
$34$	−1.23877	+	0.427545i	−0.212448	+	0.0733233i
$35$	−0.703721	−	0.160620i	−0.118951	−	0.0271497i
$36$	−8.06319	−	1.91286i	−1.34386	−	0.318810i
$37$	6.15711	+	7.72077i	1.01222	+	1.26929i	0.962716	+	0.270514i	$0.0871936\pi$
$37$	6.15711	+	7.72077i	1.01222	+	1.26929i	0.0495070	+	0.998774i	$0.484235\pi$
$38$	4.72775	+	4.76824i	0.766942	+	0.773510i
$39$	−2.38064	−	4.94346i	−0.381208	−	0.791587i
$40$	−1.47294	−	0.536649i	−0.232892	−	0.0848516i
$41$			10.8109i			1.68837i	0.536050	+	0.844186i	$0.319916\pi$
$41$			10.8109i			1.68837i	−0.536050	+	0.844186i	$0.680084\pi$
$42$	2.63672	−	4.15686i	0.406855	−	0.641418i
$43$	0.392799	−	1.72096i	0.0599013	−	0.262445i	−0.936106	−	0.351718i	$-0.885597\pi$
$43$	0.392799	−	1.72096i	0.0599013	−	0.262445i	0.996007	+	0.0892738i	$0.0284546\pi$
$44$	−0.0207908	+	2.43788i	−0.00313433	+	0.367524i
$45$	1.79550	+	1.43186i	0.267657	+	0.213449i
$46$	2.17387	−	0.235554i	0.320520	−	0.0347305i
$47$	−6.26573	−	4.99675i	−0.913951	−	0.728851i	0.0489234	−	0.998803i	$-0.484421\pi$
$47$	−6.26573	−	4.99675i	−0.913951	−	0.728851i	−0.962874	+	0.269951i	$0.912992\pi$
$48$	6.80727	−	8.24360i	0.982544	−	1.18986i
$49$	−3.30694	−	4.14678i	−0.472420	−	0.592396i
$50$	−4.67275	−	4.71277i	−0.660827	−	0.666487i
$51$	−1.07459	+	2.23141i	−0.150473	+	0.312460i
$52$	4.10563	+	0.0350138i	0.569349	+	0.00485554i
$53$	−4.55525	+	1.03971i	−0.625712	+	0.142815i	−0.523608	−	0.851959i	$-0.675414\pi$
$53$	−4.55525	+	1.03971i	−0.625712	+	0.142815i	−0.102104	+	0.994774i	$0.532557\pi$
$54$	−3.66946	+	2.28391i	−0.499350	+	0.310800i
$55$	0.293141	−	0.608713i	0.0395271	−	0.0820789i
$56$	1.91971	+	3.14377i	0.256533	+	0.420104i
$57$	12.6902			1.68086
$58$	7.26596	−	2.28164i	0.954067	−	0.299594i
$59$		−	8.00793i		−	1.04254i	−0.853391	−	0.521272i	$-0.825458\pi$
$59$		−	8.00793i		−	1.04254i	0.853391	−	0.521272i	$-0.174542\pi$
$60$	−2.68018	+	1.26267i	−0.346010	+	0.163009i
$61$	10.7955	+	5.19882i	1.38222	+	0.665641i	0.969471	−	0.245206i	$-0.0788555\pi$
$61$	10.7955	+	5.19882i	1.38222	+	0.665641i	0.412746	+	0.910846i	$0.364570\pi$
$62$	−3.25677	−	5.23252i	−0.413611	−	0.664531i
$63$	−1.20077	−	5.26091i	−0.151283	−	0.662813i
$64$	3.28555	+	7.29419i	0.410694	+	0.911773i
$65$	−1.02514	−	0.493679i	−0.127152	−	0.0612334i
$66$	3.24409	+	3.27188i	0.399320	+	0.402740i
$67$	−2.94019	+	2.34473i	−0.359202	+	0.286454i	−0.786417	−	0.617696i	$-0.788066\pi$
$67$	−2.94019	+	2.34473i	−0.359202	+	0.286454i	0.427215	+	0.904150i	$0.359495\pi$
$68$	−1.14311	−	1.45877i	−0.138623	−	0.176901i
$69$	2.57655	−	3.23089i	0.310180	−	0.388953i
$70$	−0.109968	−	1.01486i	−0.0131436	−	0.121300i
$71$	−0.766650	+	0.961349i	−0.0909846	+	0.114091i	−0.825240	−	0.564782i	$-0.808960\pi$
$71$	−0.766650	+	0.961349i	−0.0909846	+	0.114091i	0.734255	+	0.678873i	$0.237532\pi$
$72$	−1.16310	−	11.6617i	−0.137072	−	1.37434i
$73$	10.2476	+	2.33896i	1.19940	+	0.273754i	0.775141	−	0.631789i	$-0.217679\pi$
$73$	10.2476	+	2.33896i	1.19940	+	0.273754i	0.424255	+	0.905543i	$0.360536\pi$
$74$	−7.48056	+	11.7933i	−0.869597	+	1.37094i
$75$	−12.5426			−1.44830
$76$	−4.19300	+	8.52022i	−0.480970	+	0.977336i
$77$	−1.43031	+	0.688801i	−0.162999	+	0.0784961i
$78$	5.51017	−	5.46338i	0.623904	−	0.618606i
$79$	6.14581	−	4.90112i	0.691457	−	0.551419i	−0.213488	−	0.976946i	$-0.568483\pi$
$79$	6.14581	−	4.90112i	0.691457	−	0.551419i	0.904946	+	0.425527i	$0.139911\pi$
$80$	0.0378114	−	2.21668i	0.00422744	−	0.247832i
$81$	0.948377	−	4.15511i	0.105375	−	0.461679i
$82$	−14.4523	+	4.98801i	−1.59599	+	0.550834i
$83$	−4.73421	−	9.83070i	−0.519647	−	1.07906i	−0.981386	−	0.192043i	$-0.938489\pi$
$83$	−4.73421	−	9.83070i	−0.519647	−	1.07906i	0.461739	−	0.887016i	$-0.347226\pi$
$84$	6.77358	+	1.60692i	0.739058	+	0.175329i
$85$	0.114285	+	0.500717i	0.0123960	+	0.0543104i
$86$	2.48187	−	0.268928i	0.267627	−	0.0289993i
$87$	6.60640	−	12.7874i	0.708281	−	1.37095i
$88$	−3.26863	+	1.09702i	−0.348437	+	0.116942i
$89$	−13.4779	+	3.07625i	−1.42866	+	0.326082i	−0.865766	−	0.500448i	$-0.833168\pi$
$89$	−13.4779	+	3.07625i	−1.42866	+	0.326082i	−0.562892	+	0.826530i	$0.690311\pi$
$90$	−1.08573	+	3.06092i	−0.114447	+	0.322650i
$91$	1.16001	+	2.40879i	0.121602	+	0.252510i
$92$	1.31790	+	2.79742i	0.137400	+	0.291651i
$93$	−11.3560	−	2.59192i	−1.17756	−	0.268770i
$94$	3.78888	−	10.6817i	0.390793	−	1.10173i
$95$	2.05746	−	1.64077i	0.211091	−	0.168340i
$96$	14.1611	+	5.29667i	1.44531	+	0.540589i
$97$	−4.78701	−	9.94034i	−0.486048	−	1.00929i	−0.989401	−	0.145208i	$-0.953615\pi$
$97$	−4.78701	−	9.94034i	−0.486048	−	1.00929i	0.503354	−	0.864081i	$-0.332099\pi$
$98$	4.01775	−	6.33410i	0.405855	−	0.639841i
$99$	5.05084			0.507629
$100$	4.14423	−	8.42111i	0.414423	−	0.842111i
$101$	−2.82683	+	12.3852i	−0.281281	+	1.23237i	0.614873	+	0.788626i	$0.289207\pi$
$101$	−2.82683	+	12.3852i	−0.281281	+	1.23237i	−0.896153	+	0.443744i	$0.853650\pi$
$102$	−3.47882	−	0.406999i	−0.344455	−	0.0402989i
$103$	−6.04141	+	7.57569i	−0.595278	+	0.746454i	−0.984634	−	0.174633i	$-0.944126\pi$
$103$	−6.04141	+	7.57569i	−0.595278	+	0.746454i	0.389356	+	0.921087i	$0.372698\pi$
$104$	1.84749	+	5.50470i	0.181161	+	0.539780i
$105$	−1.50833	−	1.20285i	−0.147198	−	0.117386i
$106$	−3.49166	−	5.60990i	−0.339140	−	0.544882i
$107$	−11.7592	+	9.37761i	−1.13680	+	0.906568i	−0.996504	−	0.0835416i	$-0.973377\pi$
$107$	−11.7592	+	9.37761i	−1.13680	+	0.906568i	−0.140296	+	0.990110i	$0.544805\pi$
$108$	−4.74625	−	3.85168i	−0.456708	−	0.370628i
$109$	−5.24405	+	10.8894i	−0.502289	+	1.04301i	0.483550	+	0.875317i	$0.339347\pi$
$109$	−5.24405	+	10.8894i	−0.502289	+	1.04301i	−0.985839	+	0.167696i	$0.946367\pi$
$110$	0.948999	+	0.111026i	0.0904835	+	0.0105860i
$111$	5.87319	+	25.7321i	0.557458	+	2.44238i
$112$	−3.31696	+	4.01684i	−0.313423	+	0.379555i
$113$	−0.733496	+	1.52312i	−0.0690015	+	0.143283i	−0.932617	−	0.360868i	$-0.882480\pi$
$113$	−0.733496	+	1.52312i	−0.0690015	+	0.143283i	0.863615	+	0.504151i	$0.168195\pi$
$114$	5.85513	+	16.9647i	0.548383	+	1.58889i
$115$		−	0.856957i		−	0.0799117i
$116$	6.40260	+	8.66064i	0.594467	+	0.804120i
$117$		−	8.50613i		−	0.786392i
$118$	10.7053	−	3.69477i	0.985499	−	0.340131i
$119$	0.523613	−	1.08729i	0.0479995	−	0.0996720i
$120$	−2.92458	−	3.00037i	−0.266976	−	0.273895i
$121$	2.11708	+	9.27554i	0.192462	+	0.843231i
$122$	−1.96904	+	16.8304i	−0.178269	+	1.52375i
$123$	−12.5369	+	26.0331i	−1.13041	+	2.34732i
$124$	5.49236	−	6.76799i	0.493229	−	0.607783i
$125$	−4.20018	+	3.34953i	−0.375676	+	0.299591i
$126$	6.47894	−	4.03256i	0.577190	−	0.359249i
$127$	0.219683	+	0.175191i	0.0194937	+	0.0155457i	0.633188	−	0.773998i	$-0.281746\pi$
$127$	0.219683	+	0.175191i	0.0194937	+	0.0155457i	−0.613694	+	0.789544i	$0.710317\pi$
$128$	−8.23519	+	7.75769i	−0.727894	+	0.685689i
$129$	2.94160	−	3.68865i	0.258994	−	0.324768i
$130$	0.186980	−	1.59821i	0.0163992	−	0.140172i
$131$	2.78132	−	12.1858i	0.243005	−	1.06468i	−0.695260	−	0.718758i	$-0.744711\pi$
$131$	2.78132	−	12.1858i	0.243005	−	1.06468i	0.938265	−	0.345917i	$-0.112432\pi$
$132$	−2.87716	+	5.84641i	−0.250425	+	0.508865i
$133$	−6.18353			−0.536180
$134$	−4.49108	−	2.84871i	−0.387970	−	0.246091i
$135$	0.734963	+	1.52617i	0.0632556	+	0.131352i
$136$	1.42271	−	2.20121i	0.121996	−	0.188752i
$137$	−9.13820	+	7.28747i	−0.780729	+	0.622611i	−0.930576	−	0.366098i	$-0.880693\pi$
$137$	−9.13820	+	7.28747i	−0.780729	+	0.622611i	0.149847	+	0.988709i	$0.452122\pi$
$138$	5.50795	+	1.95372i	0.468868	+	0.166311i
$139$	21.5604	+	4.92103i	1.82873	+	0.417396i	0.991572	−	0.129560i	$-0.0413564\pi$
$139$	21.5604	+	4.92103i	1.82873	+	0.417396i	0.837161	+	0.546956i	$0.184214\pi$
$140$	1.30597	−	0.615256i	0.110374	−	0.0519986i
$141$	−9.29367	−	19.2985i	−0.782668	−	1.62523i
$142$	−1.63889	−	0.581326i	−0.137532	−	0.0487838i
$143$	−2.43970	+	0.556845i	−0.204018	+	0.0465657i
$144$	15.0531	−	6.93544i	1.25442	−	0.577954i
$145$	−0.582238	−	2.92738i	−0.0483522	−	0.243106i
$146$	1.60136	+	14.7785i	0.132529	+	1.22308i
$147$	−3.15445	−	13.8205i	−0.260174	−	1.13990i
$148$	−19.2171	−	4.55894i	−1.57964	−	0.374743i
$149$	−7.18209	−	14.9138i	−0.588380	−	1.22178i	−0.956426	−	0.291976i	$-0.905687\pi$
$149$	−7.18209	−	14.9138i	−0.588380	−	1.22178i	0.368046	−	0.929808i	$-0.380027\pi$
$150$	−5.78702	−	16.7674i	−0.472508	−	1.36905i
$151$	−4.53540	+	19.8709i	−0.369085	+	1.61707i	0.360211	+	0.932871i	$0.382705\pi$
$151$	−4.53540	+	19.8709i	−0.369085	+	1.61707i	−0.729297	+	0.684198i	$0.760153\pi$
$152$	−13.3247	−	1.67421i	−1.08078	−	0.135796i
$153$	−3.00188	+	2.39392i	−0.242688	+	0.193537i
$154$	−1.58074	−	1.59428i	−0.127380	−	0.128471i
$155$	−2.17626	+	1.04803i	−0.174802	+	0.0841800i
$156$	9.84596	+	4.84543i	0.788307	+	0.387945i
$157$	10.7308			0.856409			0.428204	−	0.903682i	$-0.359146\pi$
$157$	10.7308			0.856409			0.428204	+	0.903682i	$0.359146\pi$
$158$	9.38758	+	5.95459i	0.746836	+	0.473722i
$159$	−12.1750	−	2.77886i	−0.965537	−	0.220378i
$160$	2.98077	−	0.972202i	0.235650	−	0.0768593i
$161$	−1.25547	+	1.57431i	−0.0989448	+	0.124073i
$162$	5.99226	−	0.649302i	0.470796	−	0.0510140i
$163$	2.22910	−	2.79520i	0.174596	−	0.218937i	−0.686832	−	0.726816i	$-0.740999\pi$
$163$	2.22910	−	2.79520i	0.174596	−	0.218937i	0.861428	+	0.507880i	$0.169571\pi$
$164$	−13.3363	−	17.0189i	−1.04139	−	1.32895i
$165$	1.41179	−	1.12587i	0.109908	−	0.0876487i
$166$	10.9577	−	10.8646i	0.850481	−	0.843258i
$167$	−7.42598	−	3.57616i	−0.574640	−	0.276732i	0.123910	−	0.992293i	$-0.460457\pi$
$167$	−7.42598	−	3.57616i	−0.574640	−	0.276732i	−0.698550	+	0.715562i	$0.746171\pi$
$168$	0.977074	+	9.79656i	0.0753829	+	0.755821i
$169$	−1.95499	−	8.56536i	−0.150384	−	0.658874i
$170$	−0.616644	+	0.383806i	−0.0472945	+	0.0294365i
$171$	17.7251	+	8.53598i	1.35548	+	0.652763i
$172$	1.50462	+	3.19377i	0.114726	+	0.243523i
$173$			7.09541i			0.539454i	0.962937	+	0.269727i	$0.0869335\pi$
$173$			7.09541i			0.539454i	−0.962937	+	0.269727i	$0.913066\pi$
$174$	20.1427	+	2.93170i	1.52701	+	0.222252i
$175$	6.11161			0.461994
$176$	−2.97463	−	3.86345i	−0.224221	−	0.291219i
$177$	9.28643	−	19.2835i	0.698011	−	1.44943i
$178$	−10.3310	−	16.5984i	−0.774341	−	1.24410i
$179$	6.93011	−	1.58175i	0.517981	−	0.118226i	0.0444648	−	0.999011i	$-0.485842\pi$
$179$	6.93011	−	1.58175i	0.517981	−	0.118226i	0.473516	+	0.880785i	$0.342985\pi$
$180$	−4.59289	−	0.0391692i	−0.342333	−	0.00291950i
$181$	0.971566	−	2.01748i	0.0722160	−	0.149958i	−0.861736	−	0.507358i	$-0.830622\pi$
$181$	0.971566	−	2.01748i	0.0722160	−	0.149958i	0.933952	+	0.357400i	$0.116337\pi$
$182$	−2.68493	+	2.66213i	−0.199020	+	0.197330i
$183$	19.9671	+	25.0380i	1.47601	+	1.85086i
$184$	−3.13162	+	3.05251i	−0.230866	+	0.225034i
$185$	4.27924	+	3.41258i	0.314616	+	0.250898i
$186$	−1.77455	−	16.3769i	−0.130116	−	1.20081i
$187$	0.883131	+	0.704274i	0.0645809	+	0.0515016i
$188$	16.0278	+	0.136688i	1.16894	+	0.00996903i
$189$	0.885687	−	3.88045i	0.0644243	−	0.282261i
$190$	3.14273	+	1.99345i	0.227998	+	0.144620i
$191$		−	7.83210i		−	0.566711i	−0.959015	−	0.283355i	$-0.908552\pi$
$191$		−	7.83210i		−	0.566711i	0.959015	−	0.283355i	$-0.0914476\pi$
$192$	−0.546975	+	21.3748i	−0.0394745	+	1.54260i
$193$	−7.84081	−	16.2816i	−0.564394	−	1.17198i	−0.966567	−	0.256413i	$-0.917459\pi$
$193$	−7.84081	−	16.2816i	−0.564394	−	1.17198i	0.402173	−	0.915564i	$-0.368255\pi$
$194$	11.0799	−	10.9858i	0.795489	−	0.788734i
$195$	−1.89608	−	2.37760i	−0.135781	−	0.170264i
$196$	10.3214	+	2.44858i	0.737242	+	0.174898i
$197$	8.73882	+	1.99458i	0.622615	+	0.142108i	0.522179	−	0.852836i	$-0.325119\pi$
$197$	8.73882	+	1.99458i	0.622615	+	0.142108i	0.100436	+	0.994944i	$0.467976\pi$
$198$	2.33040	+	6.75213i	0.165615	+	0.479853i
$199$	14.5421	−	7.00309i	1.03086	−	0.496436i	0.159561	−	0.987188i	$-0.448992\pi$
$199$	14.5421	−	7.00309i	1.03086	−	0.496436i	0.871299	+	0.490752i	$0.163278\pi$
$200$	13.1697	+	1.65473i	0.931239	+	0.117007i
$201$	−9.79919	+	2.23660i	−0.691182	+	0.157758i
$202$	−17.8612	+	1.93538i	−1.25671	+	0.136173i
$203$	−3.21908	+	6.23087i	−0.225935	+	0.437321i
$204$	−1.06100	−	4.83839i	−0.0742850	−	0.338755i
$205$	1.33333	+	5.84168i	0.0931235	+	0.408001i
$206$	−12.9149	−	4.58101i	−0.899821	−	0.319174i
$207$	5.77204	−	2.77967i	0.401185	−	0.193200i
$208$	−6.50645	+	5.00959i	−0.451141	+	0.347352i
$209$	1.28790	−	5.64266i	0.0890860	−	0.390311i
$210$	0.912085	−	2.57137i	0.0629399	−	0.177441i
$211$	−2.20053	−	2.75938i	−0.151491	−	0.189964i	0.700295	−	0.713853i	$-0.253052\pi$
$211$	−2.20053	−	2.75938i	−0.151491	−	0.189964i	−0.851786	+	0.523890i	$0.824480\pi$
$212$	5.88848	−	7.25611i	0.404423	−	0.498351i
$213$	−2.96096	+	1.42592i	−0.202882	+	0.0977027i
$214$	−17.9618	−	11.3933i	−1.22785	−	0.778829i
$215$		−	0.978374i		−	0.0667245i
$216$	2.95918	−	8.12206i	0.201347	−	0.552636i
$217$	5.53339	+	1.26296i	0.375631	+	0.0857353i
$218$	−16.9768	−	1.98617i	−1.14981	−	0.134521i
$219$	21.9644	+	17.5160i	1.48422	+	1.18362i
$220$	0.289434	+	1.31988i	0.0195136	+	0.0889862i
$221$	1.18607	−	1.48728i	0.0797836	−	0.100045i
$222$	−31.6897	+	19.7240i	−2.12687	+	1.32379i
$223$	−9.43801	−	11.8349i	−0.632016	−	0.792522i	0.357964	−	0.933736i	$-0.383471\pi$
$223$	−9.43801	−	11.8349i	−0.632016	−	0.792522i	−0.989979	+	0.141213i	$0.954900\pi$
$224$	−6.90025	−	2.58089i	−0.461042	−	0.172443i
$225$	−17.5190	−	8.43669i	−1.16793	−	0.562446i
$226$	−2.37458	−	0.277810i	−0.157955	−	0.0184797i
$227$	4.69875	−	1.07246i	0.311867	−	0.0711817i	−0.0637226	−	0.997968i	$-0.520297\pi$
$227$	4.69875	−	1.07246i	0.311867	−	0.0711817i	0.375590	+	0.926786i	$0.377440\pi$
$228$	−19.9775	+	15.6546i	−1.32304	+	1.03675i
$229$	3.19431	+	1.53830i	0.211086	+	0.101654i	0.536440	−	0.843939i	$-0.319769\pi$
$229$	3.19431	+	1.53830i	0.211086	+	0.101654i	−0.325353	+	0.945593i	$0.605483\pi$
$230$	1.14561	−	0.395391i	0.0755391	−	0.0260713i
$231$	−4.24302			−0.279170
$232$	−8.62373	+	12.5551i	−0.566176	+	0.824285i
$233$	−2.54656			−0.166831			−0.0834153	−	0.996515i	$-0.526583\pi$
$233$	−2.54656			−0.166831			−0.0834153	+	0.996515i	$0.526583\pi$
$234$	11.3713	−	3.92464i	0.743363	−	0.256562i
$235$	−4.00197	−	1.92725i	−0.261060	−	0.125720i
$236$	9.87858	+	12.6064i	0.643041	+	0.820607i
$237$	20.4830	−	4.67511i	1.33051	−	0.303681i
$238$	1.69512	+	0.198317i	0.109878	+	0.0128550i
$239$	21.1192	+	10.1705i	1.36608	+	0.657872i	0.965985	−	0.258600i	$-0.0832610\pi$
$239$	21.1192	+	10.1705i	1.36608	+	0.657872i	0.400100	+	0.916471i	$0.368975\pi$
$240$	2.66163	−	5.29401i	0.171807	−	0.341727i
$241$	3.79651	+	4.76067i	0.244554	+	0.306662i	0.888926	−	0.458051i	$-0.151452\pi$
$241$	3.79651	+	4.76067i	0.244554	+	0.306662i	−0.644371	+	0.764713i	$0.722881\pi$
$242$	−11.4230	+	7.10982i	−0.734301	+	0.457036i
$243$	12.8188	−	16.0743i	0.822328	−	1.03117i
$244$	−23.4079	+	5.13308i	−1.49854	+	0.328612i
$245$	−2.29835	−	1.83287i	−0.146836	−	0.117098i
$246$	−40.5862	−	4.74831i	−2.58768	−	0.302741i
$247$	−9.50282	−	2.16896i	−0.604650	−	0.138007i
$248$	11.5818	+	4.21969i	0.735444	+	0.267951i
$249$		−	29.1628i		−	1.84812i
$250$	−6.41568	−	4.06950i	−0.405763	−	0.257378i
$251$	−4.52269	+	2.17801i	−0.285470	+	0.137475i	−0.571139	−	0.820853i	$-0.693498\pi$
$251$	−4.52269	+	2.17801i	−0.285470	+	0.137475i	0.285669	+	0.958328i	$0.407784\pi$
$252$	8.38016	+	6.80067i	0.527900	+	0.428402i
$253$	−1.17512	−	1.47355i	−0.0738789	−	0.0926412i
$254$	−0.132842	+	0.374511i	−0.00833526	+	0.0234989i
$255$	−0.305454	+	1.33828i	−0.0191283	+	0.0838064i
$256$	−14.1704	−	7.42975i	−0.885647	−	0.464359i
$257$	2.95612	−	1.42359i	0.184398	−	0.0888012i	−0.339407	−	0.940640i	$-0.610226\pi$
$257$	2.95612	−	1.42359i	0.184398	−	0.0888012i	0.523805	+	0.851838i	$0.324512\pi$
$258$	6.28833	+	2.23052i	0.391495	+	0.138866i
$259$	−2.86181	−	12.5384i	−0.177824	−	0.779100i
$260$	2.22281	−	0.487437i	0.137853	−	0.0302295i
$261$	17.8289	−	13.4171i	1.10358	−	0.830497i
$262$	17.5736	−	1.90422i	1.08570	−	0.117643i
$263$	24.4039	−	5.57003i	1.50481	−	0.343462i	0.610898	−	0.791709i	$-0.290809\pi$
$263$	24.4039	−	5.57003i	1.50481	−	0.343462i	0.893910	+	0.448247i	$0.147951\pi$
$264$	−9.14316	−	1.14881i	−0.562723	−	0.0707043i
$265$	−2.33322	+	1.12362i	−0.143328	+	0.0690233i
$266$	−2.85301	−	8.26634i	−0.174929	−	0.506842i
$267$	−36.0229	−	8.22199i	−2.20457	−	0.503178i
$268$	1.73612	−	7.31818i	0.106050	−	0.447029i
$269$	10.0659	+	12.6222i	0.613727	+	0.769590i	0.987447	−	0.157952i	$-0.0504891\pi$
$269$	10.0659	+	12.6222i	0.613727	+	0.769590i	−0.373719	+	0.927542i	$0.621918\pi$
$270$	−1.70112	+	1.68668i	−0.103527	+	0.102648i
$271$	11.4559	+	23.7884i	0.695896	+	1.44504i	0.886193	+	0.463316i	$0.153341\pi$
$271$	11.4559	+	23.7884i	0.695896	+	1.44504i	−0.190297	+	0.981727i	$0.560945\pi$
$272$	3.59906	+	0.886305i	0.218225	+	0.0537402i
$273$			7.14568i			0.432476i
$274$	−13.9584	−	8.85388i	−0.843258	−	0.534883i
$275$	−1.27292	+	5.57703i	−0.0767600	+	0.336307i
$276$	−0.0704827	+	8.26463i	−0.00424256	+	0.497472i
$277$	16.5326	+	13.1843i	0.993347	+	0.792168i	0.978189	−	0.207718i	$-0.0666035\pi$
$277$	16.5326	+	13.1843i	0.993347	+	0.792168i	0.0151579	+	0.999885i	$0.495175\pi$
$278$	3.36916	+	31.0932i	0.202069	+	1.86485i
$279$	−14.1181	−	11.2588i	−0.845227	−	0.674046i
$280$	1.42505	+	1.46199i	0.0851631	+	0.0873703i
$281$	0.701159	+	0.879226i	0.0418277	+	0.0524502i	0.802305	−	0.596914i	$-0.203607\pi$
$281$	0.701159	+	0.879226i	0.0418277	+	0.0524502i	−0.760478	+	0.649364i	$0.775035\pi$
$282$	21.5109	−	21.3282i	1.28095	−	1.27008i
$283$	−1.34093	+	2.78446i	−0.0797098	+	0.165519i	−0.937015	−	0.349290i	$-0.886423\pi$
$283$	−1.34093	+	2.78446i	−0.0797098	+	0.165519i	0.857305	+	0.514809i	$0.172137\pi$
$284$	0.0209721	−	2.45913i	0.00124446	−	0.145923i
$285$	6.85720	−	1.56511i	0.406186	−	0.0927092i
$286$	−1.87006	−	3.00455i	−0.110579	−	0.177662i
$287$	6.10880	−	12.6851i	0.360591	−	0.748775i
$288$	16.2169	+	16.9235i	0.955587	+	0.997228i
$289$	16.1413			0.949490
$290$	3.64478	−	2.12902i	0.214029	−	0.125020i
$291$		−	29.4881i		−	1.72862i
$292$	−19.0176	+	8.95940i	−1.11292	+	0.524309i
$293$	4.98080	+	2.39863i	0.290981	+	0.140129i	0.573680	−	0.819080i	$-0.305515\pi$
$293$	4.98080	+	2.39863i	0.290981	+	0.140129i	−0.282699	+	0.959209i	$0.591230\pi$
$294$	17.0203	−	10.5936i	0.992645	−	0.617832i
$295$	−0.987635	−	4.32711i	−0.0575023	−	0.251934i
$296$	−2.77203	−	27.7935i	−0.161121	−	1.61546i
$297$	3.35656	+	1.61643i	0.194767	+	0.0937950i
$298$	16.6235	−	16.4823i	0.962971	−	0.954794i
$299$	−2.48161	+	1.97902i	−0.143515	+	0.114449i
$300$	19.7451	−	15.4726i	1.13998	−	0.893308i
$301$	−1.43335	+	1.79736i	−0.0826168	+	0.103598i
$302$	−28.6566	+	3.10514i	−1.64900	+	0.178681i
$303$	−21.1697	+	26.5459i	−1.21617	+	1.52502i
$304$	−3.90974	−	18.5854i	−0.224239	−	1.06594i
$305$	6.47454	+	1.47777i	0.370731	+	0.0846170i
$306$	−4.58531	−	2.90848i	−0.262125	−	0.166267i
$307$	−9.44326			−0.538956			−0.269478	−	0.963007i	$-0.586851\pi$
$307$	−9.44326			−0.538956			−0.269478	+	0.963007i	$0.586851\pi$
$308$	1.40195	−	2.84877i	0.0798833	−	0.162324i
$309$	−23.3332	+	11.2367i	−1.32738	+	0.639231i
$310$	−2.40515	−	2.42575i	−0.136603	−	0.137773i
$311$	8.04967	−	6.41939i	0.456455	−	0.364010i	−0.368106	−	0.929784i	$-0.619994\pi$
$311$	8.04967	−	6.41939i	0.456455	−	0.364010i	0.824561	+	0.565773i	$0.191422\pi$
$312$	−1.93471	+	15.3980i	−0.109531	+	0.871741i
$313$	−1.57424	+	6.89717i	−0.0889810	+	0.389851i	−0.999733	−	0.0231022i	$-0.992646\pi$
$313$	−1.57424	+	6.89717i	−0.0889810	+	0.389851i	0.910752	+	0.412954i	$0.135503\pi$
$314$	4.95106	+	14.3452i	0.279404	+	0.809549i
$315$	−1.29768	−	2.69466i	−0.0731159	−	0.151827i
$316$	−3.62896	+	15.2970i	−0.204145	+	0.860524i
$317$	−4.76136	−	20.8609i	−0.267425	−	1.17166i	−0.912998	−	0.407965i	$-0.866239\pi$
$317$	−4.76136	−	20.8609i	−0.267425	−	1.17166i	0.645573	−	0.763699i	$-0.276619\pi$
$318$	−1.90253	−	17.5580i	−0.106689	−	0.984605i
$319$	−5.01539	−	4.23527i	−0.280808	−	0.237130i
$320$	2.67497	+	3.53622i	0.149535	+	0.197681i
$321$	−39.1914	+	8.94518i	−2.18745	+	0.499271i
$322$	−2.68384	−	0.951982i	−0.149565	−	0.0530519i
$323$	1.90898	+	3.96404i	0.106219	+	0.220565i
$324$	3.63277	+	7.71106i	0.201821	+	0.428392i
$325$	9.39229	+	2.14373i	0.520990	+	0.118913i
$326$	4.76519	+	1.69025i	0.263920	+	0.0936145i
$327$	−25.2558	+	20.1408i	−1.39665	+	1.11379i
$328$	16.5982	−	25.6807i	0.916482	−	1.41798i
$329$	4.52850	+	9.40353i	0.249664	+	0.518433i
$330$	2.15648	+	1.36787i	0.118710	+	0.0752987i
$331$	1.50682			0.0828226			0.0414113	−	0.999142i	$-0.486815\pi$
$331$	1.50682			0.0828226			0.0414113	+	0.999142i	$0.486815\pi$
$332$	19.5799	+	9.63575i	1.07459	+	0.528831i
$333$	−9.10510	+	39.8921i	−0.498956	+	2.18607i
$334$	1.35446	−	11.5773i	0.0741130	−	0.633481i
$335$	−1.29956	+	1.62960i	−0.0710027	+	0.0890346i
$336$	−12.6455	+	5.82621i	−0.689871	+	0.317846i
$337$	14.8373	+	11.8324i	0.808242	+	0.644551i	0.937860	−	0.347013i	$-0.112804\pi$
$337$	14.8373	+	11.8324i	0.808242	+	0.644551i	−0.129619	+	0.991564i	$0.541375\pi$
$338$	10.5484	−	6.56545i	0.573760	−	0.357114i
$339$	−3.53259	+	2.81714i	−0.191864	+	0.153006i
$340$	−0.797597	−	0.647266i	−0.0432558	−	0.0351029i
$341$	−2.30498	+	4.78634i	−0.124822	+	0.259195i
$342$	−3.23298	+	27.6340i	−0.174820	+	1.49427i
$343$	3.56564	+	15.6221i	0.192526	+	0.843513i
$344$	−3.57532	+	3.48500i	−0.192768	+	0.187898i
$345$	0.993774	−	2.06359i	0.0535030	−	0.111100i
$346$	−9.48538	+	3.27375i	−0.509937	+	0.175998i
$347$		−	16.7488i		−	0.899121i	−0.893250	−	0.449560i	$-0.851581\pi$
$347$		−	16.7488i		−	0.899121i	0.893250	−	0.449560i	$-0.148419\pi$
$348$	5.37442	+	28.2800i	0.288099	+	1.51597i
$349$		−	25.6029i		−	1.37049i	−0.728312	−	0.685246i	$-0.759695\pi$
$349$		−	25.6029i		−	1.37049i	0.728312	−	0.685246i	$-0.240305\pi$
$350$	2.81983	+	8.17019i	0.150726	+	0.436715i
$351$	2.72224	−	5.65279i	0.145302	−	0.301724i
$352$	3.79232	−	5.75914i	0.202131	−	0.306963i
$353$	7.98013	+	34.9632i	0.424739	+	1.86091i	0.503475	+	0.864010i	$0.332055\pi$
$353$	7.98013	+	34.9632i	0.424739	+	1.86091i	−0.0787357	+	0.996896i	$0.525088\pi$
$354$	30.0634	+	3.51722i	1.59785	+	0.186938i
$355$	−0.295697	+	0.614020i	−0.0156939	+	0.0325888i
$356$	17.4226	−	21.4691i	0.923399	−	1.13786i
$357$	2.52177	−	2.01104i	0.133466	−	0.106436i
$358$	5.31202	+	8.53459i	0.280749	+	0.451067i
$359$	−18.3552	−	14.6378i	−0.968752	−	0.772554i	0.00504203	−	0.999987i	$-0.498395\pi$
$359$	−18.3552	−	14.6378i	−0.968752	−	0.772554i	−0.973794	+	0.227434i	$0.926966\pi$
$360$	−2.06674	−	6.15799i	−0.108927	−	0.324555i
$361$	2.20955	−	2.77069i	0.116292	−	0.145826i
$362$	3.14530	+	0.367979i	0.165313	+	0.0193405i
$363$	−5.65839	+	24.7910i	−0.296988	+	1.30119i
$364$	−4.79761	−	2.36102i	−0.251463	−	0.123751i
$365$	5.82581			0.304937
$366$	−24.2590	+	38.2450i	−1.26804	+	1.99910i
$367$	12.0182	+	24.9561i	0.627347	+	1.30270i	0.936159	+	0.351576i	$0.114354\pi$
$367$	12.0182	+	24.9561i	0.627347	+	1.30270i	−0.308813	+	0.951123i	$0.599932\pi$
$368$	−5.52558	−	2.77805i	−0.288041	−	0.144816i
$369$	−35.0219	+	27.9290i	−1.82317	+	1.45393i
$370$	−2.58765	+	7.29514i	−0.134525	+	0.379257i
$371$	5.93246	+	1.35405i	0.307998	+	0.0702986i
$372$	21.0744	−	9.92839i	1.09266	−	0.514763i
$373$	−6.72142	−	13.9572i	−0.348022	−	0.722675i	0.651325	−	0.758799i	$-0.274213\pi$
$373$	−6.72142	−	13.9572i	−0.348022	−	0.722675i	−0.999347	+	0.0361235i	$0.988499\pi$
$374$	−0.534029	+	1.50554i	−0.0276140	+	0.0778497i
$375$	−13.9985	+	3.19507i	−0.722881	+	0.164993i
$376$	7.21230	+	21.4895i	0.371946	+	1.10824i
$377$	−7.13263	+	8.44643i	−0.367349	+	0.435013i
$378$	5.59616	−	0.606382i	0.287835	−	0.0311889i
$379$	5.14810	+	22.5553i	0.264440	+	1.15859i	0.916378	+	0.400315i	$0.131099\pi$
$379$	5.14810	+	22.5553i	0.264440	+	1.15859i	−0.651937	+	0.758273i	$0.726044\pi$
$380$	−1.21489	+	5.12106i	−0.0623224	+	0.262705i
$381$	0.325846	+	0.676626i	0.0166936	+	0.0346646i
$382$	10.4702	−	3.61364i	0.535702	−	0.184890i
$383$	4.31104	−	18.8879i	0.220284	−	0.965126i	−0.736981	−	0.675913i	$-0.763749\pi$
$383$	4.31104	−	18.8879i	0.220284	−	0.965126i	0.957265	−	0.289213i	$-0.0933934\pi$
$384$	−28.8270	+	9.13091i	−1.47107	+	0.465960i
$385$	−0.687921	+	0.548599i	−0.0350597	+	0.0279592i
$386$	18.1481	−	17.9940i	0.923715	−	0.915871i
$387$	6.58985	−	3.17350i	0.334981	−	0.161318i
$388$	19.7983	+	9.74322i	1.00511	+	0.494637i
$389$	−17.9340			−0.909288			−0.454644	−	0.890673i	$-0.650234\pi$
$389$	−17.9340			−0.909288			−0.454644	+	0.890673i	$0.650234\pi$
$390$	2.30363	−	3.63174i	0.116649	−	0.183900i
$391$	1.39682	+	0.318815i	0.0706403	+	0.0161232i
$392$	1.48884	+	14.9277i	0.0751976	+	0.753963i
$393$	20.8288	−	26.1185i	1.05068	−	1.31751i
$394$	1.36558	+	12.6026i	0.0687969	+	0.634911i
$395$	2.71644	−	3.40631i	0.136679	−	0.171390i
$396$	−7.95124	+	6.23072i	−0.399565	+	0.313105i
$397$	−14.2344	+	11.3516i	−0.714405	+	0.569719i	−0.911815	−	0.410602i	$-0.865318\pi$
$397$	−14.2344	+	11.3516i	−0.714405	+	0.569719i	0.197410	+	0.980321i	$0.436747\pi$
$398$	16.0715	+	16.2092i	0.805592	+	0.812492i
$399$	−14.8902	−	7.17076i	−0.745444	−	0.358987i
$400$	3.86426	+	18.3692i	0.193213	+	0.918459i
$401$	−5.11695	−	22.4188i	−0.255528	−	1.11954i	−0.925975	−	0.377585i	$-0.876754\pi$
$401$	−5.11695	−	22.4188i	−0.255528	−	1.11954i	0.670446	−	0.741958i	$-0.266103\pi$
$402$	−7.51120	−	12.0679i	−0.374625	−	0.601894i
$403$	8.06068	+	3.88182i	0.401531	+	0.193367i
$404$	−10.8282	−	22.9844i	−0.538724	−	1.14352i
$405$		−	2.36219i		−	0.117378i
$406$	−9.81487	−	1.42852i	−0.487104	−	0.0708964i
$407$	12.0378			0.596689
$408$	5.97858	−	3.65076i	0.295984	−	0.180740i
$409$	6.46186	−	13.4182i	0.319519	−	0.663487i	−0.677911	−	0.735144i	$-0.737114\pi$
$409$	6.46186	−	13.4182i	0.319519	−	0.663487i	0.997429	+	0.0716571i	$0.0228287\pi$
$410$	−7.19417	+	4.47772i	−0.355295	+	0.221139i
$411$	−30.4562	+	6.95142i	−1.50229	+	0.342888i
$412$	0.165265	−	19.3786i	0.00814205	−	0.954716i
$413$	−4.52498	+	9.39621i	−0.222660	+	0.462357i
$414$	6.37911	+	6.43375i	0.313516	+	0.316201i
$415$	−3.77059	−	4.72817i	−0.185091	−	0.232097i
$416$	−9.69898	−	6.38666i	−0.475532	−	0.313132i
$417$	46.2119	+	36.8527i	2.26300	+	1.80469i
$418$	8.13752	−	0.881756i	0.398019	−	0.0431281i
$419$	7.01887	+	5.59737i	0.342894	+	0.273449i	0.779761	−	0.626077i	$-0.215340\pi$
$419$	7.01887	+	5.59737i	0.342894	+	0.273449i	−0.436867	+	0.899526i	$0.643912\pi$
$420$	3.85831	+	0.0329046i	0.188266	+	0.00160558i
$421$	5.24427	−	22.9766i	0.255590	−	1.11981i	−0.670321	−	0.742071i	$-0.733844\pi$
$421$	5.24427	−	22.9766i	0.255590	−	1.11981i	0.925911	−	0.377741i	$-0.123299\pi$
$422$	2.67353	−	4.21489i	0.130145	−	0.205178i
$423$		−	33.2066i		−	1.61456i
$424$	12.4171	+	4.52402i	0.603027	+	0.219706i
$425$	−1.88678	−	3.91793i	−0.0915221	−	0.190048i
$426$	−3.27238	−	3.30040i	−0.158547	−	0.159905i
$427$	−9.72934	−	12.2002i	−0.470836	−	0.590409i
$428$	6.94352	−	29.2687i	0.335627	−	1.41476i
$429$	−6.52066	−	1.48830i	−0.314820	−	0.0718557i
$430$	1.30792	−	0.451411i	0.0630736	−	0.0217690i
$431$	36.6475	−	17.6485i	1.76525	−	0.850098i	0.795513	−	0.605937i	$-0.207202\pi$
$431$	36.6475	−	17.6485i	1.76525	−	0.850098i	0.969735	−	0.244162i	$-0.0785127\pi$
$432$	12.2232	+	0.208499i	0.588087	+	0.0100314i
$433$	−11.3116	+	2.58180i	−0.543601	+	0.124073i	−0.485499	−	0.874237i	$-0.661362\pi$
$433$	−11.3116	+	2.58180i	−0.543601	+	0.124073i	−0.0581019	+	0.998311i	$0.518505\pi$
$434$	0.864679	+	7.97993i	0.0415059	+	0.383049i
$435$	1.99270	−	7.72447i	0.0955426	−	0.370360i
$436$	−5.17774	−	23.6115i	−0.247969	−	1.13079i
$437$	−1.63357	−	7.15715i	−0.0781444	−	0.342373i
$438$	−13.2819	+	37.4444i	−0.634632	+	1.78916i
$439$	−7.30245	+	3.51667i	−0.348527	+	0.167842i	−0.599954	−	0.800035i	$-0.704814\pi$
$439$	−7.30245	+	3.51667i	−0.348527	+	0.167842i	0.251427	+	0.967876i	$0.419100\pi$
$440$	−1.63092	+	0.995903i	−0.0777508	+	0.0474778i
$441$	4.89029	−	21.4257i	0.232871	−	1.02027i
$442$	2.53549	+	0.899359i	0.120601	+	0.0427781i
$443$	14.2557	+	17.8760i	0.677307	+	0.849316i	0.995103	−	0.0988427i	$-0.0315141\pi$
$443$	14.2557	+	17.8760i	0.677307	+	0.849316i	−0.317796	+	0.948159i	$0.602943\pi$
$444$	−40.9889	−	33.2634i	−1.94525	−	1.57861i
$445$	−6.90345	+	3.32452i	−0.327255	+	0.157598i
$446$	11.4667	−	18.0775i	0.542962	−	0.855995i
$447$		−	44.2418i		−	2.09257i
$448$	0.266523	−	10.4153i	0.0125920	−	0.492075i
$449$	33.8746	+	7.73165i	1.59864	+	0.364879i	0.926722	−	0.375747i	$-0.122614\pi$
$449$	33.8746	+	7.73165i	1.59864	+	0.364879i	0.671918	+	0.740626i	$0.265471\pi$
$450$	3.19538	−	27.3125i	0.150632	−	1.28752i
$451$	10.3032	+	8.21651i	0.485157	+	0.386900i
$452$	−0.724222	−	3.30260i	−0.0340645	−	0.155341i
$453$	−33.9648	+	42.5905i	−1.59581	+	2.00108i
$454$	3.60165	+	5.78662i	0.169034	+	0.271580i
$455$	0.923896	+	1.15853i	0.0433129	+	0.0543127i
$456$	−30.1450	−	19.4836i	−1.41167	−	0.912404i
$457$	−18.9542	−	9.12784i	−0.886638	−	0.426982i	−0.0655933	−	0.997846i	$-0.520894\pi$
$457$	−18.9542	−	9.12784i	−0.886638	−	0.426982i	−0.821045	+	0.570864i	$0.806608\pi$
$458$	−0.582628	+	4.98002i	−0.0272244	+	0.232701i
$459$	−2.76105	+	0.630191i	−0.128875	+	0.0294148i
$460$	1.05714	+	1.34906i	0.0492895	+	0.0629001i
$461$	−25.1059	−	12.0904i	−1.16930	−	0.563105i	−0.254523	−	0.967067i	$-0.581918\pi$
$461$	−25.1059	−	12.0904i	−1.16930	−	0.563105i	−0.914776	+	0.403962i	$0.867633\pi$
$462$	−1.95768	−	5.67221i	−0.0910797	−	0.263895i
$463$	−24.7434			−1.14992			−0.574961	−	0.818181i	$-0.694983\pi$
$463$	−24.7434			−1.14992			−0.574961	+	0.818181i	$0.694983\pi$
$464$	−20.7630	−	5.73568i	−0.963898	−	0.266272i
$465$	−6.45589			−0.299385
$466$	−1.17495	−	3.40432i	−0.0544287	−	0.157702i
$467$	6.36412	+	3.06480i	0.294497	+	0.141822i	0.575298	−	0.817944i	$-0.304886\pi$
$467$	6.36412	+	3.06480i	0.294497	+	0.141822i	−0.280802	+	0.959766i	$0.590600\pi$
$468$	10.4932	+	13.3907i	0.485047	+	0.618985i
$469$	4.77483	−	1.08982i	0.220481	−	0.0503234i
$470$	0.729940	−	6.23917i	0.0336696	−	0.287791i
$471$	25.8402	+	12.4440i	1.19065	+	0.573389i
$472$	−12.2948	+	19.0225i	−0.565913	+	0.875580i
$473$	−1.34161	−	1.68233i	−0.0616873	−	0.0773534i
$474$	15.7005	+	25.2253i	0.721146	+	1.15864i
$475$	−13.8924	+	17.4205i	−0.637425	+	0.799306i
$476$	0.516992	+	2.35759i	0.0236963	+	0.108060i
$477$	−15.1363	−	12.0708i	−0.693043	−	0.552683i
$478$	−3.85204	+	32.9253i	−0.176188	+	1.50597i
$479$	−39.2593	−	8.96067i	−1.79380	−	0.409424i	−0.809674	−	0.586881i	$-0.800356\pi$
$479$	−39.2593	−	8.96067i	−1.79380	−	0.409424i	−0.984129	+	0.177457i	$0.943213\pi$
$480$	8.30525	+	1.11555i	0.379081	+	0.0509178i
$481$		−	20.2728i		−	0.924360i
$482$	−4.61255	+	7.27181i	−0.210096	+	0.331222i
$483$	−4.84888	+	2.33510i	−0.220632	+	0.106251i
$484$	−14.7751	−	11.9903i	−0.671595	−	0.545014i
$485$	−3.81264	−	4.78090i	−0.173123	−	0.217090i
$486$	27.4031	+	9.72011i	1.24303	+	0.440913i
$487$	6.18834	−	27.1129i	0.280421	−	1.22860i	−0.616835	−	0.787092i	$-0.711586\pi$
$487$	6.18834	−	27.1129i	0.280421	−	1.22860i	0.897256	−	0.441511i	$-0.145557\pi$
$488$	−17.6622	−	28.9241i	−0.799531	−	1.30933i
$489$	8.60924	−	4.14599i	0.389323	−	0.187488i
$490$	1.38981	−	3.91817i	0.0627852	−	0.177005i
$491$	−1.06347	−	4.65935i	−0.0479936	−	0.210274i	0.945246	−	0.326360i	$-0.105822\pi$
$491$	−1.06347	−	4.65935i	−0.0479936	−	0.210274i	−0.993239	+	0.116086i	$0.962965\pi$
$492$	−12.3783	−	56.4477i	−0.558058	−	2.54486i
$493$	4.98818	+	0.140045i	0.224656	+	0.00630733i
$494$	−1.48497	−	13.7044i	−0.0668118	−	0.616590i
$495$	2.72924	−	0.622931i	0.122670	−	0.0279987i
$496$	−0.297313	+	17.4298i	−0.0133497	+	0.782622i
$497$	1.44278	−	0.694806i	0.0647175	−	0.0311663i
$498$	38.9858	−	13.4554i	1.74700	−	0.602951i
$499$	0.132695	+	0.0302869i	0.00594026	+	0.00135583i	0.225490	−	0.974245i	$-0.427602\pi$
$499$	0.132695	+	0.0302869i	0.00594026	+	0.00135583i	−0.219550	+	0.975601i	$0.570459\pi$
$500$	2.48011	−	10.4543i	0.110914	−	0.467531i
$501$	−13.7350	−	17.2231i	−0.613634	−	0.769473i
$502$	−4.99836	−	5.04117i	−0.223088	−	0.224998i
$503$	−3.99120	−	8.28780i	−0.177959	−	0.369535i	0.792840	−	0.609429i	$-0.208601\pi$
$503$	−3.99120	−	8.28780i	−0.177959	−	0.369535i	−0.970799	+	0.239895i	$0.922887\pi$
$504$	−5.22485	+	14.3406i	−0.232733	+	0.638782i
$505$			7.04101i			0.313321i
$506$	1.42770	−	2.25081i	0.0634691	−	0.100061i
$507$	5.22516	−	22.8929i	0.232057	−	1.01671i
$508$	−0.561950	−	0.00479244i	−0.0249325	−	0.000212630i
$509$	−18.8008	−	14.9931i	−0.833331	−	0.664560i	0.110904	−	0.993831i	$-0.464625\pi$
$509$	−18.8008	−	14.9931i	−0.833331	−	0.664560i	−0.944235	+	0.329271i	$0.893197\pi$
$510$	−1.92999	+	0.209128i	−0.0854614	+	0.00926033i
$511$	−10.7025	−	8.53500i	−0.473453	−	0.377566i
$512$	3.39428	−	22.3714i	0.150008	−	0.988685i
$513$	9.04753	+	11.3452i	0.399458	+	0.500905i
$514$	3.26702	+	3.29501i	0.144102	+	0.145336i
$515$	−2.33017	+	4.83865i	−0.102680	+	0.213216i
$516$	−0.0804689	+	9.43559i	−0.00354245	+	0.415378i
$517$	−9.52420	+	2.17384i	−0.418874	+	0.0956052i
$518$	15.4414	−	9.61085i	0.678454	−	0.422277i
$519$	−8.22823	+	17.0861i	−0.361179	+	0.749996i
$520$	1.67720	+	2.74663i	0.0735502	+	0.120448i
$521$	8.31302			0.364200			0.182100	−	0.983280i	$-0.441711\pi$
$521$	8.31302			0.364200			0.182100	+	0.983280i	$0.441711\pi$
$522$	26.1624	+	17.6437i	1.14510	+	0.772243i
$523$			7.72823i			0.337932i	0.985622	+	0.168966i	$0.0540428\pi$
$523$			7.72823i			0.337932i	−0.985622	+	0.168966i	$0.945957\pi$
$524$	10.6539	+	22.6144i	0.465417	+	0.987913i
$525$	14.7170	+	7.08735i	0.642304	+	0.309317i
$526$	18.7059	+	30.0539i	0.815615	+	1.31041i
$527$	−0.898631	−	3.93716i	−0.0391450	−	0.171505i
$528$	−2.68279	−	12.7529i	−0.116753	−	0.555000i
$529$	18.5684	+	8.94208i	0.807323	+	0.388786i
$530$	−2.57861	−	2.60069i	−0.112008	−	0.112967i
$531$	25.9418	−	20.6879i	1.12578	−	0.897777i
$532$	9.73436	−	7.62800i	0.422038	−	0.330716i
$533$	13.8374	−	17.3516i	0.599366	−	0.751581i
$534$	−5.62915	−	51.9501i	−0.243597	−	2.24810i
$535$	−5.19754	+	6.51750i	−0.224709	+	0.281776i
$536$	10.5842	−	1.05563i	0.457168	−	0.0455963i
$537$	18.5223	+	4.22760i	0.799297	+	0.182434i
$538$	−12.2295	+	19.2801i	−0.527251	+	0.831226i
$539$	−6.46539			−0.278484
$540$	−3.03969	−	1.49590i	−0.130807	−	0.0643734i
$541$	9.28476	−	4.47131i	0.399183	−	0.192236i	−0.223512	−	0.974701i	$-0.571752\pi$
$541$	9.28476	−	4.47131i	0.399183	−	0.192236i	0.622695	+	0.782465i	$0.286038\pi$
$542$	−26.5155	+	26.2903i	−1.13894	+	1.12927i
$543$	4.67915	−	3.73150i	0.200802	−	0.160134i
$544$	0.475727	+	5.22028i	0.0203966	+	0.223818i
$545$	−1.49063	+	6.53087i	−0.0638515	+	0.279752i
$546$	−9.55258	+	3.29694i	−0.408813	+	0.141096i
$547$	11.1649	+	23.1842i	0.477377	+	0.991284i	0.991074	+	0.133312i	$0.0425612\pi$
$547$	11.1649	+	23.1842i	0.477377	+	0.991284i	−0.513697	+	0.857972i	$0.671724\pi$
$548$	5.39590	−	22.7451i	0.230502	−	0.971623i
$549$	11.0476	+	48.4027i	0.471500	+	2.06578i
$550$	−8.04286	+	0.871499i	−0.342949	+	0.0371608i
$551$	−10.4431	−	23.3391i	−0.444890	−	0.994279i
$552$	−11.0809	+	3.71898i	−0.471636	+	0.158290i
$553$	−9.98070	+	2.27803i	−0.424423	+	0.0968717i
$554$	−9.99724	+	28.1844i	−0.424742	+	1.19744i
$555$	6.34719	+	13.1801i	0.269423	+	0.559463i
$556$	−40.0119	+	18.8501i	−1.69688	+	0.799421i
$557$	39.4375	+	9.00136i	1.67102	+	0.381400i	0.950180	−	0.311700i	$-0.100898\pi$
$557$	39.4375	+	9.00136i	1.67102	+	0.381400i	0.720841	+	0.693100i	$0.243756\pi$
$558$	8.53718	−	24.0682i	0.361408	−	1.01889i
$559$	−2.83321	+	2.25941i	−0.119832	+	0.0955628i
$560$	−1.29693	+	2.57960i	−0.0548051	+	0.109008i
$561$	1.30991	+	2.72005i	0.0553043	+	0.114841i
$562$	−0.851870	+	1.34300i	−0.0359340	+	0.0566509i
$563$	0.294961			0.0124311			0.00621557	−	0.999981i	$-0.498022\pi$
$563$	0.294961			0.0124311			0.00621557	+	0.999981i	$0.498022\pi$
$564$	38.4371	+	18.9158i	1.61849	+	0.796499i
$565$	−0.208497	+	0.913487i	−0.00877155	+	0.0384307i
$566$	−4.34105	−	0.507873i	−0.182468	−	0.0213475i
$567$	−3.46069	+	4.33956i	−0.145335	+	0.182245i
$568$	3.29712	−	1.10658i	0.138344	−	0.0464311i
$569$	−14.5429	−	11.5976i	−0.609671	−	0.486196i	0.269310	−	0.963054i	$-0.413204\pi$
$569$	−14.5429	−	11.5976i	−0.609671	−	0.486196i	−0.878981	+	0.476857i	$0.841776\pi$
$570$	5.25613	+	8.44480i	0.220155	+	0.353714i
$571$	19.1273	−	15.2535i	0.800453	−	0.638340i	−0.135376	−	0.990794i	$-0.543224\pi$
$571$	19.1273	−	15.2535i	0.800453	−	0.638340i	0.935829	+	0.352455i	$0.114653\pi$
$572$	3.15375	−	3.88622i	0.131865	−	0.162491i
$573$	9.08252	−	18.8601i	0.379428	−	0.787890i
$574$	19.7763	+	2.31370i	0.825448	+	0.0965718i
$575$	1.61457	+	7.07390i	0.0673323	+	0.295002i
$576$	−15.1416	+	29.4875i	−0.630901	+	1.22865i
$577$	−11.1851	+	23.2261i	−0.465641	+	0.966914i	0.527452	+	0.849585i	$0.323147\pi$
$577$	−11.1851	+	23.2261i	−0.465641	+	0.966914i	−0.993093	+	0.117329i	$0.962567\pi$
$578$	7.44743	+	21.5782i	0.309772	+	0.897537i
$579$		−	48.2995i		−	2.00726i
$580$	4.52780	+	3.89016i	0.188007	+	0.161530i
$581$			14.2101i			0.589534i
$582$	39.4206	−	13.6055i	1.63404	−	0.563965i
$583$	−2.47122	+	5.13154i	−0.102347	+	0.212527i
$584$	−20.7517	−	21.2895i	−0.858712	−	0.880968i
$585$	−1.04908	−	4.59632i	−0.0433741	−	0.190034i
$586$	−0.908475	+	7.76520i	−0.0375288	+	0.320777i
$587$	−8.87723	+	18.4337i	−0.366402	+	0.760842i	−0.999917	−	0.0128885i	$-0.995897\pi$
$587$	−8.87723	+	18.4337i	−0.366402	+	0.760842i	0.633515	+	0.773731i	$0.281612\pi$
$588$	22.0149	+	17.8655i	0.907878	+	0.736762i
$589$	−16.1779	+	12.9015i	−0.666600	+	0.531596i
$590$	5.32894	−	3.31678i	0.219389	−	0.136550i
$591$	18.7305	+	14.9371i	0.770469	+	0.614428i
$592$	35.8763	−	16.5294i	1.47451	−	0.679352i
$593$	−21.4197	+	26.8594i	−0.879600	+	1.10298i	0.114382	+	0.993437i	$0.463511\pi$
$593$	−21.4197	+	26.8594i	−0.879600	+	1.10298i	−0.993982	+	0.109547i	$0.965060\pi$
$594$	−0.612221	+	5.23296i	−0.0251197	+	0.214711i
$595$	0.148838	−	0.652101i	0.00610175	−	0.0267335i
$596$	29.7040	+	14.6180i	1.21672	+	0.598778i
$597$	43.1392			1.76557
$598$	−3.79060	−	2.40440i	−0.155009	−	0.0983231i
$599$	−0.132610	−	0.275367i	−0.00541828	−	0.0112512i	0.898242	−	0.439501i	$-0.144845\pi$
$599$	−0.132610	−	0.275367i	−0.00541828	−	0.0112512i	−0.903660	+	0.428250i	$0.859130\pi$
$600$	29.7944	+	19.2570i	1.21635	+	0.786163i
$601$	−12.8355	+	10.2360i	−0.523572	+	0.417535i	−0.849286	−	0.527934i	$-0.822967\pi$
$601$	−12.8355	+	10.2360i	−0.523572	+	0.417535i	0.325713	+	0.945469i	$0.394396\pi$
$602$	−3.06410	−	1.08686i	−0.124883	−	0.0442972i
$603$	−15.1915	−	3.46737i	−0.618647	−	0.141202i
$604$	−17.3729	−	36.8764i	−0.706893	−	1.50048i
$605$	2.28794	+	4.75097i	0.0930182	+	0.193154i
$606$	−45.2549	−	16.0523i	−1.83835	−	0.652080i
$607$	−46.9769	+	10.7222i	−1.90673	+	0.435199i	−0.906826	+	0.421505i	$0.861502\pi$
$607$	−46.9769	+	10.7222i	−1.90673	+	0.435199i	−0.999906	+	0.0136939i	$0.995641\pi$
$608$	23.0416	−	13.8017i	0.934460	−	0.559735i
$609$	−14.9774	+	11.2712i	−0.606913	+	0.456732i
$610$	1.01175	+	9.33720i	0.0409646	+	0.378052i
$611$	3.66096	+	16.0397i	0.148107	+	0.648898i
$612$	1.77254	−	7.47173i	0.0716509	−	0.302027i
$613$	−5.27803	−	10.9599i	−0.213178	−	0.442668i	0.766770	−	0.641921i	$-0.221862\pi$
$613$	−5.27803	−	10.9599i	−0.213178	−	0.442668i	−0.979948	+	0.199254i	$0.936148\pi$
$614$	−4.35702	−	12.6241i	−0.175835	−	0.509466i
$615$	−3.56362	+	15.6132i	−0.143699	+	0.629587i
$616$	4.45517	+	0.559777i	0.179504	+	0.0225541i
$617$	−17.3234	+	13.8149i	−0.697413	+	0.556169i	−0.906747	−	0.421676i	$-0.861442\pi$
$617$	−17.3234	+	13.8149i	−0.697413	+	0.556169i	0.209333	+	0.977844i	$0.432871\pi$
$618$	−25.7872	−	26.0081i	−1.03731	−	1.04620i
$619$	15.0851	−	7.26459i	0.606320	−	0.291989i	−0.105424	−	0.994427i	$-0.533620\pi$
$619$	15.0851	−	7.26459i	0.606320	−	0.291989i	0.711744	+	0.702439i	$0.247906\pi$
$620$	2.13311	−	4.33449i	0.0856676	−	0.174077i
$621$	4.72542			0.189625
$622$	12.2957	+	7.79921i	0.493012	+	0.312720i
$623$	17.5528	+	4.00631i	0.703237	+	0.160509i
$624$	−21.4772	+	4.51809i	−0.859777	+	0.180868i
$625$	12.7731	−	16.0170i	0.510924	−	0.640679i
$626$	−9.94670	+	1.07779i	−0.397550	+	0.0430773i
$627$	9.64486	−	12.0943i	0.385179	−	0.482999i
$628$	−16.8928	+	13.2375i	−0.674097	+	0.528233i
$629$	−7.15443	+	5.70547i	−0.285266	+	0.227492i
$630$	3.00357	−	2.97807i	0.119665	−	0.118649i
$631$	18.9750	+	9.13790i	0.755384	+	0.363774i	0.771611	−	0.636094i	$-0.219451\pi$
$631$	18.9750	+	9.13790i	0.755384	+	0.363774i	−0.0162270	+	0.999868i	$0.505165\pi$
$632$	−22.1239	+	2.20656i	−0.880041	+	0.0877722i
$633$	−2.09906	−	9.19657i	−0.0834301	−	0.365531i
$634$	25.6907	−	15.9901i	1.02031	−	0.635049i
$635$	0.140313	+	0.0675713i	0.00556816	+	0.00268148i
$636$	22.5943	−	10.6444i	0.895923	−	0.422080i
$637$			10.8884i			0.431413i
$638$	3.34780	−	8.65884i	0.132541	−	0.342807i
$639$	−5.09488			−0.201550
$640$	−3.49314	+	5.20755i	−0.138078	+	0.205847i
$641$	−0.607507	+	1.26150i	−0.0239951	+	0.0498263i	−0.912622	−	0.408805i	$-0.865946\pi$
$641$	−0.607507	+	1.26150i	−0.0239951	+	0.0498263i	0.888627	+	0.458631i	$0.151660\pi$
$642$	−30.0407	−	48.2651i	−1.18561	−	1.90487i
$643$	−44.6529	+	10.1917i	−1.76094	+	0.401923i	−0.976021	−	0.217678i	$-0.930152\pi$
$643$	−44.6529	+	10.1917i	−1.76094	+	0.401923i	−0.784917	+	0.619601i	$0.787295\pi$
$644$	0.0343439	−	4.02708i	0.00135334	−	0.158689i
$645$	1.13458	−	2.35597i	0.0446739	−	0.0927662i
$646$	−4.41847	+	4.38095i	−0.173843	+	0.172366i
$647$	−6.24959	−	7.83674i	−0.245697	−	0.308094i	0.643657	−	0.765314i	$-0.277417\pi$
$647$	−6.24959	−	7.83674i	−0.245697	−	0.308094i	−0.889353	+	0.457220i	$0.848845\pi$
$648$	−8.63228	+	8.41421i	−0.339108	+	0.330541i
$649$	−7.63187	−	6.08622i	−0.299577	−	0.238905i
$650$	1.46769	+	13.5450i	0.0575677	+	0.531279i
$651$	11.8601	+	9.45808i	0.464832	+	0.370691i
$652$	−0.0609780	+	7.15013i	−0.00238808	+	0.280021i
$653$	2.09970	−	9.19939i	0.0821677	−	0.360000i	−0.917083	−	0.398695i	$-0.869463\pi$
$653$	2.09970	−	9.19939i	0.0821677	−	0.360000i	0.999251	+	0.0386954i	$0.0123202\pi$
$654$	−38.5777	−	24.4700i	−1.50851	−	0.956854i
$655$		−	6.92764i		−	0.270685i
$656$	41.9890	+	10.3402i	1.63939	+	0.403717i
$657$	18.8969	+	39.2398i	0.737239	+	1.53089i
$658$	−10.4815	+	10.3925i	−0.408613	+	0.405143i
$659$	−29.3797	−	36.8410i	−1.14447	−	1.43512i	−0.882665	−	0.470002i	$-0.844253\pi$
$659$	−29.3797	−	36.8410i	−1.14447	−	1.43512i	−0.261807	−	0.965120i	$-0.584318\pi$
$660$	−0.833632	+	3.51397i	−0.0324491	+	0.136781i
$661$	49.2495	+	11.2409i	1.91558	+	0.437219i	0.999329	+	0.0366193i	$0.0116589\pi$
$661$	49.2495	+	11.2409i	1.91558	+	0.437219i	0.916253	+	0.400600i	$0.131198\pi$
$662$	0.695233	+	2.01437i	0.0270210	+	0.0782908i
$663$	4.58084	−	2.20602i	0.177905	−	0.0856746i
$664$	−3.84742	+	30.6209i	−0.149309	+	1.18832i
$665$	−3.34129	+	0.762628i	−0.129570	+	0.0295734i
$666$	−57.5300	+	6.23377i	−2.22924	+	0.241554i
$667$	−8.06236	−	2.07986i	−0.312176	−	0.0805326i
$668$	16.1018	−	3.53095i	0.622999	−	0.136616i
$669$	−9.00279	−	39.4438i	−0.348068	−	1.52498i
$670$	−2.77811	−	0.985418i	−0.107328	−	0.0380700i
$671$	13.1595	−	6.33727i	0.508016	−	0.244648i
$672$	−13.6232	−	14.2168i	−0.525525	−	0.548426i
$673$	4.61494	−	20.2194i	0.177893	−	0.779400i	−0.804708	−	0.593671i	$-0.797678\pi$
$673$	4.61494	−	20.2194i	0.177893	−	0.779400i	0.982601	−	0.185729i	$-0.0594646\pi$
$674$	−8.97213	+	25.2944i	−0.345593	+	0.974303i
$675$	−8.94230	−	11.2133i	−0.344189	−	0.431599i
$676$	13.6438	+	11.0723i	0.524763	+	0.425856i
$677$	12.1966	−	5.87355i	0.468752	−	0.225739i	−0.184570	−	0.982819i	$-0.559089\pi$
$677$	12.1966	−	5.87355i	0.468752	−	0.225739i	0.653322	+	0.757081i	$0.273375\pi$
$678$	−5.39595	−	3.42268i	−0.207230	−	0.131447i
$679$			14.3686i			0.551416i
$680$	0.497284	−	1.36489i	0.0190700	−	0.0523413i
$681$	12.5585	+	2.86640i	0.481243	+	0.109841i
$682$	−7.46202	−	0.873006i	−0.285736	−	0.0334291i
$683$	6.42156	+	5.12103i	0.245714	+	0.195951i	0.738601	−	0.674143i	$-0.235487\pi$
$683$	6.42156	+	5.12103i	0.245714	+	0.195951i	−0.492887	+	0.870094i	$0.664058\pi$
$684$	−38.4336	+	8.42805i	−1.46955	+	0.322254i
$685$	−4.03908	+	5.06484i	−0.154325	+	0.193518i
$686$	−19.2389	+	11.9745i	−0.734546	+	0.457189i
$687$	5.90816	+	7.40860i	0.225410	+	0.282656i
$688$	−6.30847	−	3.17166i	−0.240508	−	0.120918i
$689$	8.64203	+	4.16178i	0.329235	+	0.158551i
$690$	3.21719	+	0.376390i	0.122476	+	0.0143289i
$691$	−31.5598	+	7.20333i	−1.20059	+	0.274027i	−0.775633	−	0.631185i	$-0.782569\pi$
$691$	−31.5598	+	7.20333i	−1.20059	+	0.274027i	−0.424960	+	0.905212i	$0.639712\pi$
$692$	−8.75290	−	11.1699i	−0.332735	−	0.424615i
$693$	−5.92647	−	2.85404i	−0.225128	−	0.108416i
$694$	22.3903	−	7.72770i	0.849924	−	0.293339i
$695$	12.2572			0.464941
$696$	−35.3260	+	20.2328i	−1.33903	+	0.766922i
$697$	−10.0179			−0.379453
$698$	34.2268	−	11.8129i	1.29550	−	0.447125i
$699$	−6.13223	−	2.95313i	−0.231942	−	0.111698i
$700$	−9.62114	+	7.53927i	−0.363645	+	0.284958i
$701$	15.8385	−	3.61504i	0.598213	−	0.136538i	0.0873166	−	0.996181i	$-0.472171\pi$
$701$	15.8385	−	3.61504i	0.598213	−	0.136538i	0.510896	+	0.859642i	$0.329314\pi$
$702$	8.81284	+	1.03104i	0.332619	+	0.0389142i
$703$	42.2446	+	20.3439i	1.59329	+	0.767286i
$704$	9.44874	+	2.41249i	0.356113	+	0.0909243i
$705$	−7.40199	−	9.28180i	−0.278775	−	0.349573i
$706$	−43.0580	+	26.7997i	−1.62051	+	1.00862i
$707$	10.3153	−	12.9350i	0.387946	−	0.486469i
$708$	9.16901	+	41.8126i	0.344592	+	1.57141i
$709$	−28.4849	−	22.7160i	−1.06977	−	0.853116i	−0.0801471	−	0.996783i	$-0.525539\pi$
$709$	−28.4849	−	22.7160i	−1.06977	−	0.853116i	−0.989626	+	0.143667i	$0.954110\pi$
$710$	−0.957273	−	0.111994i	−0.0359258	−	0.00420308i
$711$	31.7544	+	7.24774i	1.19088	+	0.271812i
$712$	36.7392	+	13.3855i	1.37686	+	0.501644i
$713$			6.73829i			0.252351i
$714$	3.85194	+	2.44331i	0.144155	+	0.0914385i
$715$	−1.24962	+	0.601786i	−0.0467332	+	0.0225055i
$716$	−8.95841	+	11.0390i	−0.334792	+	0.412548i
$717$	39.0617	+	48.9818i	1.45879	+	1.82926i
$718$	11.0994	−	31.2916i	0.414225	−	1.16779i
$719$	−5.03609	+	22.0645i	−0.187814	+	0.822868i	0.789952	+	0.613169i	$0.210106\pi$
$719$	−5.03609	+	22.0645i	−0.187814	+	0.822868i	−0.977766	+	0.209699i	$0.932752\pi$
$720$	7.27862	−	5.60412i	0.271258	−	0.208853i
$721$	11.3695	−	5.47526i	0.423422	−	0.203909i
$722$	4.72340	+	1.67543i	0.175787	+	0.0623531i
$723$	3.62144	+	15.8665i	0.134683	+	0.590083i
$724$	0.959281	+	4.37452i	0.0356514	+	0.162578i
$725$	10.3216	+	23.0676i	0.383335	+	0.856710i
$726$	−35.7522	+	3.87399i	−1.32689	+	0.143777i
$727$	−22.0504	+	5.03287i	−0.817805	+	0.186659i	−0.610906	−	0.791703i	$-0.709195\pi$
$727$	−22.0504	+	5.03287i	−0.817805	+	0.186659i	−0.206900	+	0.978362i	$0.566337\pi$
$728$	0.942722	−	7.50295i	0.0349396	−	0.278078i
$729$	37.9893	−	18.2947i	1.40701	−	0.677580i
$730$	2.68797	+	7.78814i	0.0994861	+	0.288252i
$731$	1.59473	+	0.363986i	0.0589831	+	0.0134625i
$732$	−62.3199	−	14.7844i	−2.30341	−	0.546446i
$733$	−15.7205	−	19.7129i	−0.580651	−	0.728113i	0.401573	−	0.915827i	$-0.368464\pi$
$733$	−15.7205	−	19.7129i	−0.580651	−	0.728113i	−0.982224	+	0.187714i	$0.939892\pi$
$734$	−27.8171	+	27.5808i	−1.02675	+	1.01803i
$735$	−3.40903	−	7.07893i	−0.125744	−	0.261110i
$736$	1.16435	−	8.66854i	0.0429185	−	0.319527i
$737$			4.58417i			0.168860i
$738$	−53.4951	−	33.9322i	−1.96918	−	1.24906i
$739$	8.49780	−	37.2313i	0.312597	−	1.36958i	−0.537640	−	0.843175i	$-0.680684\pi$
$739$	8.49780	−	37.2313i	0.312597	−	1.36958i	0.850236	−	0.526401i	$-0.176459\pi$
$740$	−10.9463	−	0.0933526i	−0.402394	−	0.00343171i
$741$	−20.3680	−	16.2429i	−0.748237	−	0.596699i
$742$	0.927042	+	8.55545i	0.0340328	+	0.314080i
$743$	−39.3375	−	31.3706i	−1.44315	−	1.15088i	−0.961598	−	0.274461i	$-0.911500\pi$
$743$	−39.3375	−	31.3706i	−1.44315	−	1.15088i	−0.481556	−	0.876415i	$-0.659928\pi$
$744$	22.9961	+	23.5921i	0.843077	+	0.864927i
$745$	−5.72021	−	7.17292i	−0.209572	−	0.262795i
$746$	15.5572	−	15.4251i	0.569590	−	0.564753i
$747$	19.6162	−	40.7334i	0.717718	−	1.49036i
$748$	−2.25905	−	0.0192657i	−0.0825991	−	0.000704425i
$749$	19.0967	−	4.35869i	0.697778	−	0.159263i
$750$	−10.7300	−	17.2395i	−0.391806	−	0.629498i
$751$	−2.94392	+	6.11311i	−0.107425	+	0.223070i	−0.947751	−	0.319011i	$-0.896649\pi$
$751$	−2.94392	+	6.11311i	−0.107425	+	0.223070i	0.840326	+	0.542081i	$0.182364\pi$
$752$	−25.4002	+	19.5567i	−0.926248	+	0.713158i
$753$	−13.4166			−0.488928
$754$	−14.5824	−	5.63804i	−0.531059	−	0.205325i
$755$			11.2967i			0.411127i
$756$	3.39264	+	7.20134i	0.123389	+	0.261910i
$757$	−24.8812	−	11.9821i	−0.904322	−	0.435498i	−0.0768737	−	0.997041i	$-0.524494\pi$
$757$	−24.8812	−	11.9821i	−0.904322	−	0.435498i	−0.827448	+	0.561543i	$0.810208\pi$
$758$	−27.7774	+	17.2889i	−1.00892	+	0.627962i
$759$	−1.12093	−	4.91110i	−0.0406871	−	0.178262i
$760$	−7.40653	+	0.738701i	−0.268663	+	0.0267955i
$761$	−3.46197	−	1.66719i	−0.125496	−	0.0604358i	0.370082	−	0.928999i	$-0.379330\pi$
$761$	−3.46197	−	1.66719i	−0.125496	−	0.0604358i	−0.495578	+	0.868563i	$0.665044\pi$
$762$	−0.754193	+	0.747789i	−0.0273215	+	0.0270895i
$763$	12.3063	−	9.81398i	0.445519	−	0.355290i
$764$	9.66167	+	12.3296i	0.349547	+	0.446069i
$765$	−1.32683	+	1.66379i	−0.0479716	+	0.0601545i
$766$	27.2390	−	2.95153i	0.984185	−	0.106643i
$767$	−10.2498	+	12.8529i	−0.370099	+	0.464090i
$768$	−25.5069	−	34.3239i	−0.920402	−	1.23856i
$769$	33.5415	+	7.65564i	1.20954	+	0.276069i	0.779303	−	0.626647i	$-0.215573\pi$
$769$	33.5415	+	7.65564i	1.20954	+	0.276069i	0.430236	+	0.902716i	$0.358430\pi$
$770$	−1.05078	−	0.666518i	−0.0378676	−	0.0240196i
$771$	8.76935			0.315820
$772$	32.4283	+	15.9588i	1.16712	+	0.574368i
$773$	−18.8267	+	9.06648i	−0.677151	+	0.326099i	−0.740657	−	0.671883i	$-0.765486\pi$
$773$	−18.8267	+	9.06648i	−0.677151	+	0.326099i	0.0635068	+	0.997981i	$0.479772\pi$
$774$	7.28293	+	7.34530i	0.261779	+	0.264021i
$775$	15.9898	−	12.7514i	0.574369	−	0.458044i
$776$	−3.89033	+	30.9624i	−0.139655	+	1.11149i
$777$	7.64885	−	33.5118i	0.274401	−	1.20223i
$778$	−8.27454	−	23.9747i	−0.296657	−	0.859535i
$779$	22.2714	+	46.2470i	0.797956	+	1.65697i
$780$	5.91789	+	1.40392i	0.211895	+	0.0502685i
$781$	0.333531	+	1.46129i	0.0119347	+	0.0522892i
$782$	0.218275	+	2.01441i	0.00780551	+	0.0720353i
$783$	16.1422	−	3.21057i	0.576873	−	0.114736i
$784$	−19.2689	+	8.87780i	−0.688175	+	0.317064i
$785$	5.79841	−	1.32345i	0.206954	−	0.0472359i
$786$	44.5263	+	15.7938i	1.58820	+	0.563348i
$787$	3.91597	+	8.13160i	0.139589	+	0.289860i	0.959030	−	0.283303i	$-0.0914303\pi$
$787$	3.91597	+	8.13160i	0.139589	+	0.289860i	−0.819441	+	0.573163i	$0.805716\pi$
$788$	−16.2175	+	7.64026i	−0.577725	+	0.272173i
$789$	65.2250	+	14.8872i	2.32207	+	0.529998i
$790$	5.80700	+	2.05979i	0.206604	+	0.0732841i
$791$	1.72132	−	1.37270i	0.0612029	−	0.0488077i
$792$	−11.9980	−	7.75469i	−0.426332	−	0.275551i
$793$	−10.6726	−	22.1619i	−0.378996	−	0.786992i
$794$	−21.7427	−	13.7915i	−0.771621	−	0.489443i
$795$	−6.92150			−0.245480
$796$	−14.2537	+	28.9636i	−0.505209	+	1.02659i
$797$	3.11169	−	13.6332i	0.110222	−	0.482913i	−0.889444	−	0.457045i	$-0.848908\pi$
$797$	3.11169	−	13.6332i	0.110222	−	0.482913i	0.999665	−	0.0258678i	$-0.00823491\pi$
$798$	2.71591	−	23.2143i	0.0961421	−	0.821776i
$799$	4.63023	−	5.80612i	0.163806	−	0.205406i
$800$	−22.7736	+	13.6412i	−0.805167	+	0.482290i
$801$	−44.7848	−	35.7146i	−1.58239	−	1.26192i
$802$	27.6093	−	17.1843i	0.974919	−	0.606799i
$803$	10.0176	−	7.98874i	0.353512	−	0.281917i
$804$	12.6672	−	15.6092i	0.446738	−	0.550495i
$805$	−0.484234	+	1.00552i	−0.0170670	+	0.0354400i
$806$	−1.47023	+	12.5668i	−0.0517867	+	0.442647i
$807$	9.60171	+	42.0678i	0.337996	+	1.48086i
$808$	25.7303	−	25.0803i	0.905188	−	0.882321i
$809$	−2.08214	+	4.32361i	−0.0732042	+	0.152010i	−0.934359	−	0.356332i	$-0.884027\pi$
$809$	−2.08214	+	4.32361i	−0.0732042	+	0.152010i	0.861155	+	0.508342i	$0.169741\pi$
$810$	3.15786	−	1.08989i	0.110956	−	0.0382949i
$811$			22.4171i			0.787170i	0.919288	+	0.393585i	$0.128765\pi$
$811$			22.4171i			0.787170i	−0.919288	+	0.393585i	$0.871235\pi$
$812$	−2.61878	−	13.7799i	−0.0919012	−	0.483581i
$813$			70.5685i			2.47494i
$814$	5.55409	+	16.0925i	0.194671	+	0.564040i
$815$	0.859762	−	1.78531i	0.0301162	−	0.0625368i
$816$	7.63891	+	6.30794i	0.267415	+	0.220822i
$817$	−1.86502	−	8.17120i	−0.0652489	−	0.285874i
$818$	20.9193	+	2.44742i	0.731426	+	0.0855719i
$819$	−4.80649	+	9.98078i	−0.167952	+	0.348757i
$820$	−9.30527	−	7.55142i	−0.324954	−	0.263707i
$821$	13.8344	−	11.0326i	0.482824	−	0.385039i	−0.351611	−	0.936146i	$-0.614366\pi$
$821$	13.8344	−	11.0326i	0.482824	−	0.385039i	0.834434	+	0.551107i	$0.185794\pi$
$822$	−23.3450	−	37.5075i	−0.814252	−	1.30822i
$823$	−19.6022	−	15.6322i	−0.683289	−	0.544905i	0.219167	−	0.975687i	$-0.429666\pi$
$823$	−19.6022	−	15.6322i	−0.683289	−	0.544905i	−0.902456	+	0.430783i	$0.858238\pi$
$824$	25.9822	−	8.72015i	0.905134	−	0.303781i
$825$	−9.53268	+	11.9536i	−0.331885	+	0.416171i
$826$	−14.6489	−	1.71383i	−0.509702	−	0.0596316i
$827$	−11.7543	+	51.4991i	−0.408738	+	1.79080i	0.181305	+	0.983427i	$0.441968\pi$
$827$	−11.7543	+	51.4991i	−0.408738	+	1.79080i	−0.590043	+	0.807372i	$0.700889\pi$
$828$	−5.65759	+	11.4963i	−0.196615	+	0.399523i
$829$	−4.28823			−0.148936			−0.0744681	−	0.997223i	$-0.523726\pi$
$829$	−4.28823			−0.148936			−0.0744681	+	0.997223i	$0.523726\pi$
$830$	4.58106	−	7.22217i	0.159011	−	0.250685i
$831$	24.5220	+	50.9205i	0.850659	+	1.76641i
$832$	4.06289	−	15.9126i	0.140855	−	0.551672i
$833$	3.84260	−	3.06437i	0.133138	−	0.106174i
$834$	−27.9443	+	78.7810i	−0.967631	+	2.72796i
$835$	−4.45371	−	1.01653i	−0.154127	−	0.0351785i
$836$	4.93332	+	10.4717i	0.170622	+	0.362170i
$837$	−5.77905	−	12.0003i	−0.199753	−	0.414792i
$838$	−4.24431	+	11.9656i	−0.146617	+	0.413345i
$839$	40.2924	−	9.19647i	1.39105	−	0.317497i	0.539593	−	0.841926i	$-0.318578\pi$
$839$	40.2924	−	9.19647i	1.39105	−	0.317497i	0.851454	+	0.524429i	$0.175721\pi$
$840$	1.73619	+	5.17310i	0.0599044	+	0.178489i
$841$	−28.9543	−	1.62709i	−0.998425	−	0.0561067i
$842$	33.1355	−	3.59046i	1.14193	−	0.123736i
$843$	0.668826	+	2.93032i	0.0230356	+	0.100926i
$844$	6.86814	+	1.62935i	0.236411	+	0.0560846i
$845$	−2.11277	−	4.38721i	−0.0726814	−	0.150925i
$846$	44.3917	−	15.3212i	1.52622	−	0.526753i
$847$	2.75715	−	12.0799i	0.0947368	−	0.415069i
$848$	−0.318755	+	18.6869i	−0.0109461	+	0.641710i
$849$	−6.45803	+	5.15010i	−0.221639	+	0.176751i
$850$	4.36708	−	4.33000i	0.149790	−	0.148518i
$851$	13.7566	−	6.62483i	0.471570	−	0.227096i
$852$	2.90225	−	5.89739i	0.0994293	−	0.202041i
$853$	−33.6654			−1.15268			−0.576341	−	0.817209i	$-0.695520\pi$
$853$	−33.6654			−1.15268			−0.576341	+	0.817209i	$0.695520\pi$
$854$	11.8206	−	18.6355i	0.404493	−	0.637695i
$855$	10.6306	+	2.42637i	0.363559	+	0.0829800i
$856$	42.3310	−	4.22194i	1.44684	−	0.144303i
$857$	7.68542	−	9.63721i	0.262529	−	0.329201i	−0.633044	−	0.774116i	$-0.718195\pi$
$857$	7.68542	−	9.63721i	0.262529	−	0.329201i	0.895573	+	0.444915i	$0.146766\pi$
$858$	−1.01896	−	9.40371i	−0.0347866	−	0.321037i
$859$	12.5571	−	15.7461i	0.428444	−	0.537251i	−0.520013	−	0.854158i	$-0.674073\pi$
$859$	12.5571	−	15.7461i	0.428444	−	0.537251i	0.948457	+	0.316907i	$0.102644\pi$
$860$	1.20692	+	1.54020i	0.0411557	+	0.0525202i
$861$	29.4206	−	23.4621i	1.00265	−	0.799587i
$862$	40.5018	+	40.8487i	1.37950	+	1.39131i
$863$	−28.3451	−	13.6503i	−0.964880	−	0.464662i	−0.116001	−	0.993249i	$-0.537008\pi$
$863$	−28.3451	−	13.6503i	−0.964880	−	0.464662i	−0.848879	+	0.528587i	$0.822722\pi$
$864$	5.36091	+	16.4365i	0.182382	+	0.559182i
$865$	0.875092	+	3.83403i	0.0297540	+	0.130361i
$866$	−8.67048	−	13.9305i	−0.294635	−	0.473377i
$867$	38.8691	+	18.7184i	1.32006	+	0.635709i
$868$	−10.2689	+	4.83778i	−0.348548	+	0.164205i
$869$		−	9.58216i		−	0.325053i
$870$	11.2457	−	0.900085i	0.381266	−	0.0305157i
$871$	7.72020			0.261589
$872$	29.1757	−	17.8159i	0.988015	−	0.603322i
$873$	19.8349	−	41.1877i	0.671311	−	1.39399i
$874$	8.81420	−	5.48605i	0.298145	−	0.185568i
$875$	6.82103	−	1.55686i	0.230593	−	0.0526313i
$876$	−56.1850	−	0.479159i	−1.89832	−	0.0161893i
$877$	17.1500	−	35.6124i	0.579116	−	1.20255i	−0.381423	−	0.924400i	$-0.624566\pi$
$877$	17.1500	−	35.6124i	0.579116	−	1.20255i	0.960539	−	0.278146i	$-0.0897197\pi$
$878$	−8.07047	−	8.13959i	−0.272365	−	0.274698i
$879$	9.21242	+	11.5520i	0.310727	+	0.389640i
$880$	−2.08384	−	1.72076i	−0.0702463	−	0.0580068i
$881$	−39.6096	−	31.5876i	−1.33448	−	1.06421i	−0.992205	−	0.124614i	$-0.960231\pi$
$881$	−39.6096	−	31.5876i	−1.33448	−	1.06421i	−0.342276	−	0.939600i	$-0.611198\pi$
$882$	30.8990	−	3.34811i	1.04042	−	0.112737i
$883$	−12.7709	−	10.1845i	−0.429776	−	0.342735i	0.384589	−	0.923088i	$-0.374343\pi$
$883$	−12.7709	−	10.1845i	−0.429776	−	0.342735i	−0.814365	+	0.580353i	$0.802915\pi$
$884$	−0.0324455	+	3.80447i	−0.00109126	+	0.127958i
$885$	2.63968	−	11.5652i	0.0887320	−	0.388760i
$886$	−17.3199	+	27.3052i	−0.581872	+	0.917338i
$887$			42.4267i			1.42455i	0.701902	+	0.712274i	$0.252335\pi$
$887$			42.4267i			1.42455i	−0.701902	+	0.712274i	$0.747665\pi$
$888$	25.5557	−	70.1427i	0.857593	−	2.35383i
$889$	−0.158774	−	0.329698i	−0.00532511	−	0.0110577i
$890$	−7.62951	−	7.69485i	−0.255742	−	0.257932i
$891$	−3.23920	−	4.06182i	−0.108517	−	0.136076i
$892$	29.4572	+	6.98823i	0.986300	+	0.233983i
$893$	−37.0975	−	8.46727i	−1.24142	−	0.283346i
$894$	59.1439	−	20.4127i	1.97807	−	0.682702i
$895$	3.54963	−	1.70941i	0.118651	−	0.0571393i
$896$	14.0464	−	4.44919i	0.469258	−	0.148637i
$897$	−8.27080	+	1.88776i	−0.276154	+	0.0630303i
$898$	5.29344	+	48.8519i	0.176644	+	1.63021i
$899$	4.57816	+	23.0182i	0.152690	+	0.767698i
$900$	37.9866	−	8.33001i	1.26622	−	0.277667i
$901$	−0.963441	−	4.22111i	−0.0320969	−	0.140626i
$902$	−6.23032	+	17.5646i	−0.207447	+	0.584838i
$903$	−5.53588	+	2.66594i	−0.184223	+	0.0887170i
$904$	4.08087	−	2.49195i	0.135728	−	0.0828809i
$905$	0.276169	−	1.20998i	0.00918017	−	0.0402210i
$906$	−72.6073	−	25.7544i	−2.41222	−	0.855634i
$907$	−17.5205	−	21.9700i	−0.581759	−	0.729503i	0.400653	−	0.916230i	$-0.368783\pi$
$907$	−17.5205	−	21.9700i	−0.581759	−	0.729503i	−0.982412	+	0.186727i	$0.940212\pi$
$908$	−6.07398	+	7.48469i	−0.201572	+	0.248388i
$909$	−47.4248	+	22.8386i	−1.57298	+	0.757508i
$910$	−1.12248	+	1.76963i	−0.0372100	+	0.0586626i
$911$			9.51245i			0.315161i	0.987506	+	0.157581i	$0.0503695\pi$
$911$			9.51245i			0.315161i	−0.987506	+	0.157581i	$0.949631\pi$
$912$	12.1377	−	49.2884i	0.401921	−	1.63210i
$913$	−12.9672	−	2.95967i	−0.429150	−	0.0979507i
$914$	3.45715	−	29.5500i	0.114352	−	0.977427i
$915$	13.8773	+	11.0668i	0.458769	+	0.365856i
$916$	−6.92627	+	1.51885i	−0.228850	+	0.0501842i
$917$	−10.1492	+	12.7267i	−0.335156	+	0.420273i
$918$	−2.11638	−	3.40029i	−0.0698508	−	0.112226i
$919$	3.23914	+	4.06175i	0.106849	+	0.133985i	0.832381	−	0.554204i	$-0.186977\pi$
$919$	3.23914	+	4.06175i	0.106849	+	0.133985i	−0.725531	+	0.688189i	$0.758406\pi$
$920$	−1.31571	+	2.03566i	−0.0433776	+	0.0671138i
$921$	−22.7398	−	10.9509i	−0.749303	−	0.360845i
$922$	4.57920	−	39.1407i	0.150808	−	1.28903i
$923$	2.46097	−	0.561700i	0.0810038	−	0.0184886i
$924$	6.67954	−	5.23419i	0.219741	−	0.172192i
$925$	−41.7532	−	20.1073i	−1.37284	−	0.661124i
$926$	−11.4163	−	33.0777i	−0.375164	−	1.08700i
$927$	−40.1490			−1.31867
$928$	−1.91218	−	30.4030i	−0.0627703	−	0.998028i
$929$	−19.0535			−0.625126			−0.312563	−	0.949897i	$-0.601188\pi$
$929$	−19.0535			−0.625126			−0.312563	+	0.949897i	$0.601188\pi$
$930$	−2.97868	−	8.63045i	−0.0976747	−	0.283004i
$931$	−22.6893	−	10.9266i	−0.743612	−	0.358105i
$932$	4.00890	−	3.14143i	0.131316	−	0.102901i
$933$	26.8283	−	6.12337i	0.878318	−	0.200470i
$934$	−1.16079	+	9.92183i	−0.0379821	+	0.324652i
$935$	0.564062	+	0.271638i	0.0184468	+	0.00888352i
$936$	−13.0597	+	20.2059i	−0.426869	+	0.660451i
$937$	11.9877	+	15.0320i	0.391620	+	0.491076i	0.938085	−	0.346406i	$-0.112598\pi$
$937$	11.9877	+	15.0320i	0.391620	+	0.491076i	−0.546465	+	0.837482i	$0.684027\pi$
$938$	3.65996	+	5.88031i	0.119502	+	0.191999i
$939$	−11.7892	+	14.7832i	−0.384725	+	0.482430i
$940$	8.67751	−	1.90288i	0.283029	−	0.0620650i
$941$	3.40876	+	2.71839i	0.111122	+	0.0886171i	0.677475	−	0.735546i	$-0.263074\pi$
$941$	3.40876	+	2.71839i	0.111122	+	0.0886171i	−0.566352	+	0.824163i	$0.691646\pi$
$942$	−4.71313	+	40.2855i	−0.153562	+	1.31257i
$943$	16.2962	+	3.71950i	0.530677	+	0.121124i
$944$	−31.1025	−	7.65930i	−1.01230	−	0.249289i
$945$		−	2.20605i		−	0.0717627i
$946$	1.62998	−	2.56972i	0.0529953	−	0.0835486i
$947$	19.3846	−	9.33514i	0.629915	−	0.303351i	−0.0915514	−	0.995800i	$-0.529183\pi$
$947$	19.3846	−	9.33514i	0.629915	−	0.303351i	0.721467	+	0.692449i	$0.243468\pi$
$948$	−26.4779	+	32.6276i	−0.859964	+	1.05969i
$949$	−13.4539	−	16.8706i	−0.436731	−	0.547643i
$950$	−29.6980	−	10.5341i	−0.963531	−	0.341773i
$951$	12.7258	−	55.7555i	0.412663	−	1.80800i
$952$	−2.91317	+	1.77890i	−0.0944163	+	0.0576544i
$953$	−16.0364	+	7.72272i	−0.519470	+	0.250163i	−0.675198	−	0.737637i	$-0.735942\pi$
$953$	−16.0364	+	7.72272i	−0.519470	+	0.250163i	0.155728	+	0.987800i	$0.450228\pi$
$954$	9.15290	−	25.8040i	0.296336	−	0.835435i
$955$	−0.965949	−	4.23210i	−0.0312574	−	0.136948i
$956$	−45.7929	+	10.0418i	−1.48105	+	0.324777i
$957$	−7.16584	−	16.0149i	−0.231639	−	0.517687i
$958$	−6.13488	−	56.6174i	−0.198209	−	1.82923i
$959$	14.8403	−	3.38720i	0.479218	−	0.109378i
$960$	2.34065	+	11.6174i	0.0755440	+	0.374951i
$961$	−10.8180	+	5.20967i	−0.348968	+	0.168054i
$962$	27.1013	−	9.35365i	0.873782	−	0.301574i
$963$	−60.7577	−	13.8676i	−1.95789	−	0.446876i
$964$	−11.8494	−	2.81107i	−0.381642	−	0.0905384i
$965$	−6.24486	−	7.83080i	−0.201029	−	0.252082i
$966$	−5.35885	−	5.40475i	−0.172418	−	0.173895i
$967$	−3.22940	−	6.70591i	−0.103850	−	0.215648i	0.842568	−	0.538589i	$-0.181043\pi$
$967$	−3.22940	−	6.70591i	−0.103850	−	0.215648i	−0.946419	+	0.322942i	$0.895328\pi$
$968$	9.21195	−	25.2840i	0.296083	−	0.812659i
$969$			11.7594i			0.377765i
$970$	4.63215	−	7.30272i	0.148729	−	0.234476i
$971$	7.59198	−	33.2626i	0.243638	−	1.06745i	−0.694038	−	0.719938i	$-0.744170\pi$
$971$	7.59198	−	33.2626i	0.243638	−	1.06745i	0.937676	−	0.347510i	$-0.112973\pi$
$972$	−0.350665	+	41.1181i	−0.0112476	+	1.31886i
$973$	−22.5175	−	17.9571i	−0.721879	−	0.575679i
$974$	39.1006	−	4.23682i	1.25287	−	0.135757i
$975$	20.1311	+	16.0540i	0.644711	+	0.514140i
$976$	30.5175	−	36.9567i	0.976841	−	1.18295i
$977$	5.11853	+	6.41844i	0.163756	+	0.205344i	0.856939	−	0.515418i	$-0.172363\pi$
$977$	5.11853	+	6.41844i	0.163756	+	0.205344i	−0.693182	+	0.720762i	$0.743792\pi$
$978$	9.51470	+	9.59619i	0.304247	+	0.306852i
$979$	−7.31176	+	15.1830i	−0.233685	+	0.485252i
$980$	5.87918	+	0.0501390i	0.187804	+	0.00160163i
$981$	−48.8238	+	11.1437i	−1.55882	+	0.355792i
$982$	5.73810	−	3.57145i	0.183110	−	0.113970i
$983$	−21.3463	+	44.3261i	−0.680843	+	1.41378i	0.218192	+	0.975906i	$0.429984\pi$
$983$	−21.3463	+	44.3261i	−0.680843	+	1.41378i	−0.899034	+	0.437878i	$0.855730\pi$
$984$	69.7499	−	42.5921i	2.22355	−	1.35779i
$985$	4.96805			0.158295
$986$	2.11428	+	6.73298i	0.0673323	+	0.214422i
$987$			27.8956i			0.887928i
$988$	17.6353	−	8.30821i	0.561055	−	0.264320i
$989$	−2.45903	−	1.18420i	−0.0781925	−	0.0376555i
$990$	2.09200	+	3.36112i	0.0664880	+	0.106823i
$991$	−2.69715	−	11.8170i	−0.0856778	−	0.375379i	0.913852	−	0.406048i	$-0.133093\pi$
$991$	−2.69715	−	11.8170i	−0.0856778	−	0.375379i	−0.999530	+	0.0306688i	$0.990236\pi$
$992$	−23.4379	+	7.64447i	−0.744154	+	0.242712i
$993$	3.62851	+	1.74740i	0.115147	+	0.0554519i
$994$	1.59452	+	1.60818i	0.0505752	+	0.0510083i
$995$	6.99415	−	5.57765i	0.221729	−	0.176823i
$996$	35.9753	+	45.9093i	1.13992	+	1.45469i
$997$	−21.0040	+	26.3382i	−0.665203	+	0.834138i	−0.993899	−	0.110298i	$-0.964819\pi$
$997$	−21.0040	+	26.3382i	−0.665203	+	0.834138i	0.328696	+	0.944436i	$0.393391\pi$
$998$	0.0207358	+	0.191365i	0.000656379	+	0.00605757i
$999$	−18.8176	+	23.5965i	−0.595362	+	0.746561i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.17	yes	168
4.3	odd	2		928.2.be.a.689.3		168
8.3	odd	2		928.2.be.a.689.26		168
8.5	even	2	inner	232.2.o.a.109.14	✓	168
29.4	even	14	inner	232.2.o.a.149.14	yes	168
116.91	odd	14		928.2.be.a.497.26		168
232.91	odd	14		928.2.be.a.497.3		168
232.149	even	14	inner	232.2.o.a.149.17	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.14	✓	168	8.5	even	2	inner
232.2.o.a.109.17	yes	168	1.1	even	1	trivial
232.2.o.a.149.14	yes	168	29.4	even	14	inner
232.2.o.a.149.17	yes	168	232.149	even	14	inner
928.2.be.a.497.3		168	232.91	odd	14
928.2.be.a.497.26		168	116.91	odd	14
928.2.be.a.689.3		168	4.3	odd	2
928.2.be.a.689.26		168	8.3	odd	2

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:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.o (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.461389 + 1.33683i) q^{2} +(2.40805 + 1.15965i) q^{3} +(-1.57424 + 1.23360i) q^{4} +(0.540353 - 0.123332i) q^{5} +(-0.439217 + 3.75421i) q^{6} +(-1.17336 - 0.565062i) q^{7} +(-2.37545 - 1.53533i) q^{8} +(2.58342 + 3.23951i) q^{9} +O(q^{10})\)	\(q+(0.461389 + 1.33683i) q^{2} +(2.40805 + 1.15965i) q^{3} +(-1.57424 + 1.23360i) q^{4} +(0.540353 - 0.123332i) q^{5} +(-0.439217 + 3.75421i) q^{6} +(-1.17336 - 0.565062i) q^{7} +(-2.37545 - 1.53533i) q^{8} +(2.58342 + 3.23951i) q^{9} +(0.414187 + 0.665458i) q^{10} +(0.760023 - 0.953039i) q^{11} +(-5.22139 + 1.14499i) q^{12} +(-1.60502 - 1.27996i) q^{13} +(0.214016 - 1.82930i) q^{14} +(1.44422 + 0.329634i) q^{15} +(0.956465 - 3.88396i) q^{16} +0.926647i q^{17} +(-3.13872 + 4.94828i) q^{18} +(4.27783 - 2.06010i) q^{19} +(-0.698503 + 0.860734i) q^{20} +(-2.17024 - 2.72139i) q^{21} +(1.62472 + 0.576302i) q^{22} +(0.344052 - 1.50739i) q^{23} +(-3.93975 - 6.45184i) q^{24} +(-4.22807 + 2.03613i) q^{25} +(0.970551 - 2.73619i) q^{26} +(0.680077 + 2.97961i) q^{27} +(2.54422 - 0.557917i) q^{28} +(0.151131 - 5.38304i) q^{29} +(0.225682 + 2.08277i) q^{30} +(-4.24882 + 0.969766i) q^{31} +(5.63351 - 0.513386i) q^{32} +(2.93537 - 1.41360i) q^{33} +(-1.23877 + 0.427545i) q^{34} +(-0.703721 - 0.160620i) q^{35} +(-8.06319 - 1.91286i) q^{36} +(6.15711 + 7.72077i) q^{37} +(4.72775 + 4.76824i) q^{38} +(-2.38064 - 4.94346i) q^{39} +(-1.47294 - 0.536649i) q^{40} +10.8109i q^{41} +(2.63672 - 4.15686i) q^{42} +(0.392799 - 1.72096i) q^{43} +(-0.0207908 + 2.43788i) q^{44} +(1.79550 + 1.43186i) q^{45} +(2.17387 - 0.235554i) q^{46} +(-6.26573 - 4.99675i) q^{47} +(6.80727 - 8.24360i) q^{48} +(-3.30694 - 4.14678i) q^{49} +(-4.67275 - 4.71277i) q^{50} +(-1.07459 + 2.23141i) q^{51} +(4.10563 + 0.0350138i) q^{52} +(-4.55525 + 1.03971i) q^{53} +(-3.66946 + 2.28391i) q^{54} +(0.293141 - 0.608713i) q^{55} +(1.91971 + 3.14377i) q^{56} +12.6902 q^{57} +(7.26596 - 2.28164i) q^{58} -8.00793i q^{59} +(-2.68018 + 1.26267i) q^{60} +(10.7955 + 5.19882i) q^{61} +(-3.25677 - 5.23252i) q^{62} +(-1.20077 - 5.26091i) q^{63} +(3.28555 + 7.29419i) q^{64} +(-1.02514 - 0.493679i) q^{65} +(3.24409 + 3.27188i) q^{66} +(-2.94019 + 2.34473i) q^{67} +(-1.14311 - 1.45877i) q^{68} +(2.57655 - 3.23089i) q^{69} +(-0.109968 - 1.01486i) q^{70} +(-0.766650 + 0.961349i) q^{71} +(-1.16310 - 11.6617i) q^{72} +(10.2476 + 2.33896i) q^{73} +(-7.48056 + 11.7933i) q^{74} -12.5426 q^{75} +(-4.19300 + 8.52022i) q^{76} +(-1.43031 + 0.688801i) q^{77} +(5.51017 - 5.46338i) q^{78} +(6.14581 - 4.90112i) q^{79} +(0.0378114 - 2.21668i) q^{80} +(0.948377 - 4.15511i) q^{81} +(-14.4523 + 4.98801i) q^{82} +(-4.73421 - 9.83070i) q^{83} +(6.77358 + 1.60692i) q^{84} +(0.114285 + 0.500717i) q^{85} +(2.48187 - 0.268928i) q^{86} +(6.60640 - 12.7874i) q^{87} +(-3.26863 + 1.09702i) q^{88} +(-13.4779 + 3.07625i) q^{89} +(-1.08573 + 3.06092i) q^{90} +(1.16001 + 2.40879i) q^{91} +(1.31790 + 2.79742i) q^{92} +(-11.3560 - 2.59192i) q^{93} +(3.78888 - 10.6817i) q^{94} +(2.05746 - 1.64077i) q^{95} +(14.1611 + 5.29667i) q^{96} +(-4.78701 - 9.94034i) q^{97} +(4.01775 - 6.33410i) q^{98} +5.05084 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

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