LMFDB - Embedded newform 731.2.k.a.35.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

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

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (of order $7$, 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:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			35.18
Character	$\chi$	$=$	731.35
Dual form			731.2.k.a.188.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.129219 - 0.566146i) q^{2} +(-0.516629 - 2.26350i) q^{3} +(1.49811 + 0.721454i) q^{4} +(-2.00450 + 2.51357i) q^{5} -1.34823 q^{6} +2.36842 q^{7} +(1.32616 - 1.66295i) q^{8} +(-2.15362 + 1.03713i) q^{9} +O(q^{10})$	\(q+(0.129219 - 0.566146i) q^{2} +(-0.516629 - 2.26350i) q^{3} +(1.49811 + 0.721454i) q^{4} +(-2.00450 + 2.51357i) q^{5} -1.34823 q^{6} +2.36842 q^{7} +(1.32616 - 1.66295i) q^{8} +(-2.15362 + 1.03713i) q^{9} +(1.16403 + 1.45964i) q^{10} +(2.16354 - 1.04191i) q^{11} +(0.859041 - 3.76370i) q^{12} +(-3.28554 + 4.11994i) q^{13} +(0.306045 - 1.34087i) q^{14} +(6.72504 + 3.23861i) q^{15} +(1.30334 + 1.63434i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.308877 + 1.35328i) q^{18} +(3.74670 + 1.80432i) q^{19} +(-4.81640 + 2.31945i) q^{20} +(-1.22359 - 5.36091i) q^{21} +(-0.310301 - 1.35952i) q^{22} +(8.42270 - 4.05616i) q^{23} +(-4.44923 - 2.14264i) q^{24} +(-1.18738 - 5.20227i) q^{25} +(1.90793 + 2.39247i) q^{26} +(-0.882529 - 1.10666i) q^{27} +(3.54816 + 1.70870i) q^{28} +(0.783058 - 3.43080i) q^{29} +(2.70253 - 3.38887i) q^{30} +(-0.332456 + 1.45658i) q^{31} +(4.92641 - 2.37243i) q^{32} +(-3.47611 - 4.35890i) q^{33} +(0.523198 - 0.251959i) q^{34} +(-4.74750 + 5.95318i) q^{35} -3.97460 q^{36} +2.55133 q^{37} +(1.50565 - 1.88803i) q^{38} +(11.0229 + 5.30835i) q^{39} +(1.52165 + 6.66679i) q^{40} +(-1.04741 + 4.58902i) q^{41} -3.19317 q^{42} +(4.95192 + 4.29866i) q^{43} +3.99292 q^{44} +(1.71004 - 7.49219i) q^{45} +(-1.20800 - 5.29261i) q^{46} +(0.627102 + 0.301996i) q^{47} +(3.02599 - 3.79447i) q^{48} -1.39060 q^{49} -3.09868 q^{50} +(1.44756 - 1.81519i) q^{51} +(-7.89447 + 3.80177i) q^{52} +(-8.26400 - 10.3627i) q^{53} +(-0.740569 + 0.356639i) q^{54} +(-1.71792 + 7.52672i) q^{55} +(3.14090 - 3.93857i) q^{56} +(2.14842 - 9.41283i) q^{57} +(-1.84115 - 0.886650i) q^{58} +(-8.98962 - 11.2726i) q^{59} +(7.73837 + 9.70361i) q^{60} +(1.06196 + 4.65274i) q^{61} +(0.781680 + 0.376437i) q^{62} +(-5.10066 + 2.45635i) q^{63} +(0.223758 + 0.980349i) q^{64} +(-3.76987 - 16.5169i) q^{65} +(-2.91695 + 1.40473i) q^{66} +(-12.3157 - 5.93094i) q^{67} +(0.370004 + 1.62109i) q^{68} +(-13.5325 - 16.9692i) q^{69} +(2.75690 + 3.45704i) q^{70} +(11.5939 + 5.58333i) q^{71} +(-1.13135 + 4.95676i) q^{72} +(3.22368 - 4.04237i) q^{73} +(0.329681 - 1.44443i) q^{74} +(-11.1619 + 5.37528i) q^{75} +(4.31126 + 5.40615i) q^{76} +(5.12418 - 2.46767i) q^{77} +(4.42967 - 5.55463i) q^{78} +7.48005 q^{79} -6.72059 q^{80} +(-6.52002 + 8.17585i) q^{81} +(2.46271 + 1.18598i) q^{82} +(-0.658226 - 2.88388i) q^{83} +(2.03457 - 8.91402i) q^{84} -3.21497 q^{85} +(3.07355 - 2.24804i) q^{86} -8.17016 q^{87} +(1.13656 - 4.97961i) q^{88} +(2.05605 + 9.00817i) q^{89} +(-4.02070 - 1.93627i) q^{90} +(-7.78154 + 9.75774i) q^{91} +15.5445 q^{92} +3.46874 q^{93} +(0.252008 - 0.316008i) q^{94} +(-12.0456 + 5.80083i) q^{95} +(-7.91513 - 9.92526i) q^{96} +(-7.32230 + 3.52623i) q^{97} +(-0.179692 + 0.787282i) q^{98} +(-3.57885 + 4.48774i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) $ 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.129219	−	0.566146i	0.0913718	−	0.400326i	−0.908473	−	0.417943i	$-0.862751\pi$
$2$	0.129219	−	0.566146i	0.0913718	−	0.400326i	0.999845	+	0.0176176i	$0.00560815\pi$
$3$	−0.516629	−	2.26350i	−0.298276	−	1.30683i	−0.872693	−	0.488269i	$-0.837628\pi$
$3$	−0.516629	−	2.26350i	−0.298276	−	1.30683i	0.574417	−	0.818563i	$-0.305229\pi$
$4$	1.49811	+	0.721454i	0.749057	+	0.360727i
$5$	−2.00450	+	2.51357i	−0.896441	+	1.12410i	0.0952493	+	0.995453i	$0.469635\pi$
$5$	−2.00450	+	2.51357i	−0.896441	+	1.12410i	−0.991690	+	0.128648i	$0.958936\pi$
$6$	−1.34823			−0.550413
$7$	2.36842			0.895178			0.447589	−	0.894239i	$-0.352283\pi$
$7$	2.36842			0.895178			0.447589	+	0.894239i	$0.352283\pi$
$8$	1.32616	−	1.66295i	0.468869	−	0.587943i
$9$	−2.15362	+	1.03713i	−0.717872	+	0.345709i
$10$	1.16403	+	1.45964i	0.368097	+	0.461580i
$11$	2.16354	−	1.04191i	0.652333	−	0.314147i	−0.0782874	−	0.996931i	$-0.524945\pi$
$11$	2.16354	−	1.04191i	0.652333	−	0.314147i	0.730620	+	0.682784i	$0.239231\pi$
$12$	0.859041	−	3.76370i	0.247984	−	1.08649i
$13$	−3.28554	+	4.11994i	−0.911246	+	1.14267i	0.0780800	+	0.996947i	$0.475121\pi$
$13$	−3.28554	+	4.11994i	−0.911246	+	1.14267i	−0.989326	+	0.145719i	$0.953450\pi$
$14$	0.306045	−	1.34087i	0.0817940	−	0.358363i
$15$	6.72504	+	3.23861i	1.73640	+	0.836205i
$16$	1.30334	+	1.63434i	0.325836	+	0.408585i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$18$	0.308877	+	1.35328i	0.0728030	+	0.318971i
$19$	3.74670	+	1.80432i	0.859553	+	0.413939i	0.811115	−	0.584887i	$-0.198861\pi$
$19$	3.74670	+	1.80432i	0.859553	+	0.413939i	0.0484384	+	0.998826i	$0.484576\pi$
$20$	−4.81640	+	2.31945i	−1.07698	+	0.518646i
$21$	−1.22359	−	5.36091i	−0.267010	−	1.16985i
$22$	−0.310301	−	1.35952i	−0.0661564	−	0.289850i
$23$	8.42270	−	4.05616i	1.75625	−	0.845768i	0.781048	−	0.624471i	$-0.214685\pi$
$23$	8.42270	−	4.05616i	1.75625	−	0.845768i	0.975207	−	0.221296i	$-0.0710288\pi$
$24$	−4.44923	−	2.14264i	−0.908195	−	0.437364i
$25$	−1.18738	−	5.20227i	−0.237477	−	1.04045i
$26$	1.90793	+	2.39247i	0.374177	+	0.469203i
$27$	−0.882529	−	1.10666i	−0.169843	−	0.212976i
$28$	3.54816	+	1.70870i	0.670539	+	0.322915i
$29$	0.783058	−	3.43080i	0.145410	−	0.637084i	−0.848715	−	0.528850i	$-0.822623\pi$
$29$	0.783058	−	3.43080i	0.145410	−	0.637084i	0.994125	−	0.108234i	$-0.0345195\pi$
$30$	2.70253	−	3.38887i	0.493412	−	0.618720i
$31$	−0.332456	+	1.45658i	−0.0597109	+	0.261610i	−0.995968	−	0.0897038i	$-0.971408\pi$
$31$	−0.332456	+	1.45658i	−0.0597109	+	0.261610i	0.936258	+	0.351314i	$0.114265\pi$
$32$	4.92641	−	2.37243i	0.870875	−	0.419391i
$33$	−3.47611	−	4.35890i	−0.605113	−	0.758787i
$34$	0.523198	−	0.251959i	0.0897277	−	0.0432106i
$35$	−4.74750	+	5.95318i	−0.802474	+	1.00627i
$36$	−3.97460			−0.662434
$37$	2.55133			0.419437			0.209718	−	0.977762i	$-0.432745\pi$
$37$	2.55133			0.419437			0.209718	+	0.977762i	$0.432745\pi$
$38$	1.50565	−	1.88803i	0.244249	−	0.306279i
$39$	11.0229	+	5.30835i	1.76508	+	0.850016i
$40$	1.52165	+	6.66679i	0.240594	+	1.05411i
$41$	−1.04741	+	4.58902i	−0.163578	+	0.716684i	0.824894	+	0.565287i	$0.191234\pi$
$41$	−1.04741	+	4.58902i	−0.163578	+	0.716684i	−0.988473	+	0.151397i	$0.951623\pi$
$42$	−3.19317			−0.492717
$43$	4.95192	+	4.29866i	0.755161	+	0.655539i
$43$	4.95192	+	4.29866i	0.755161	+	0.655539i
$44$	3.99292			0.601956
$45$	1.71004	−	7.49219i	0.254918	−	1.11687i
$46$	−1.20800	−	5.29261i	−0.178111	−	0.780353i
$47$	0.627102	+	0.301996i	0.0914722	+	0.0440507i	0.479060	−	0.877782i	$-0.340977\pi$
$47$	0.627102	+	0.301996i	0.0914722	+	0.0440507i	−0.387588	+	0.921833i	$0.626692\pi$
$48$	3.02599	−	3.79447i	0.436764	−	0.547684i
$49$	−1.39060			−0.198657
$50$	−3.09868			−0.438219
$51$	1.44756	−	1.81519i	0.202699	−	0.254177i
$52$	−7.89447	+	3.80177i	−1.09477	+	0.527211i
$53$	−8.26400	−	10.3627i	−1.13515	−	1.42343i	−0.891182	−	0.453646i	$-0.850123\pi$
$53$	−8.26400	−	10.3627i	−1.13515	−	1.42343i	−0.243966	−	0.969784i	$-0.578448\pi$
$54$	−0.740569	+	0.356639i	−0.100779	+	0.0485324i
$55$	−1.71792	+	7.52672i	−0.231645	+	1.01490i
$56$	3.14090	−	3.93857i	0.419721	−	0.526313i
$57$	2.14842	−	9.41283i	0.284565	−	1.24676i
$58$	−1.84115	−	0.886650i	−0.241755	−	0.116423i
$59$	−8.98962	−	11.2726i	−1.17035	−	1.46757i	−0.855025	−	0.518587i	$-0.826458\pi$
$59$	−8.98962	−	11.2726i	−1.17035	−	1.46757i	−0.315324	−	0.948984i	$-0.602113\pi$
$60$	7.73837	+	9.70361i	0.999019	+	1.25273i
$61$	1.06196	+	4.65274i	0.135970	+	0.595722i	0.996297	+	0.0859797i	$0.0274020\pi$
$61$	1.06196	+	4.65274i	0.135970	+	0.595722i	−0.860327	+	0.509742i	$0.829741\pi$
$62$	0.781680	+	0.376437i	0.0992735	+	0.0478076i
$63$	−5.10066	+	2.45635i	−0.642623	+	0.309471i
$64$	0.223758	+	0.980349i	0.0279698	+	0.122544i
$65$	−3.76987	−	16.5169i	−0.467595	−	2.04867i
$66$	−2.91695	+	1.40473i	−0.359052	+	0.172910i
$67$	−12.3157	−	5.93094i	−1.50460	−	0.724580i	−0.513553	−	0.858058i	$-0.671671\pi$
$67$	−12.3157	−	5.93094i	−1.50460	−	0.724580i	−0.991052	+	0.133478i	$0.957385\pi$
$68$	0.370004	+	1.62109i	0.0448695	+	0.196586i
$69$	−13.5325	−	16.9692i	−1.62912	−	2.04286i
$70$	2.75690	+	3.45704i	0.329513	+	0.413196i
$71$	11.5939	+	5.58333i	1.37594	+	0.662620i	0.968131	−	0.250446i	$-0.0805772\pi$
$71$	11.5939	+	5.58333i	1.37594	+	0.662620i	0.407813	+	0.913065i	$0.366291\pi$
$72$	−1.13135	+	4.95676i	−0.133331	+	0.584160i
$73$	3.22368	−	4.04237i	0.377304	−	0.473124i	−0.556532	−	0.830826i	$-0.687868\pi$
$73$	3.22368	−	4.04237i	0.377304	−	0.473124i	0.933836	+	0.357702i	$0.116440\pi$
$74$	0.329681	−	1.44443i	0.0383247	−	0.167911i
$75$	−11.1619	+	5.37528i	−1.28886	+	0.620684i
$76$	4.31126	+	5.40615i	0.494535	+	0.620128i
$77$	5.12418	−	2.46767i	0.583954	−	0.281217i
$78$	4.42967	−	5.55463i	0.501561	−	0.628938i
$79$	7.48005			0.841572			0.420786	−	0.907160i	$-0.361754\pi$
$79$	7.48005			0.841572			0.420786	+	0.907160i	$0.361754\pi$
$80$	−6.72059			−0.751384
$81$	−6.52002	+	8.17585i	−0.724447	+	0.908428i
$82$	2.46271	+	1.18598i	0.271961	+	0.130969i
$83$	−0.658226	−	2.88388i	−0.0722497	−	0.316547i	0.925870	−	0.377842i	$-0.123334\pi$
$83$	−0.658226	−	2.88388i	−0.0722497	−	0.316547i	−0.998120	+	0.0612957i	$0.980477\pi$
$84$	2.03457	−	8.91402i	0.221989	−	0.972599i
$85$	−3.21497			−0.348713
$86$	3.07355	−	2.24804i	0.331430	−	0.242413i
$87$	−8.17016			−0.875934
$88$	1.13656	−	4.97961i	0.121158	−	0.530828i
$89$	2.05605	+	9.00817i	0.217941	+	0.954864i	0.958996	+	0.283419i	$0.0914687\pi$
$89$	2.05605	+	9.00817i	0.217941	+	0.954864i	−0.741055	+	0.671445i	$0.765674\pi$
$90$	−4.02070	−	1.93627i	−0.423819	−	0.204101i
$91$	−7.78154	+	9.75774i	−0.815727	+	1.02289i
$92$	15.5445			1.62063
$93$	3.46874			0.359691
$94$	0.252008	−	0.316008i	0.0259926	−	0.0325937i
$95$	−12.0456	+	5.80083i	−1.23585	+	0.595153i
$96$	−7.91513	−	9.92526i	−0.807835	−	1.01299i
$97$	−7.32230	+	3.52623i	−0.743467	+	0.358035i	−0.766965	−	0.641689i	$-0.778234\pi$
$97$	−7.32230	+	3.52623i	−0.743467	+	0.358035i	0.0234979	+	0.999724i	$0.492520\pi$
$98$	−0.179692	+	0.787282i	−0.0181516	+	0.0795275i
$99$	−3.57885	+	4.48774i	−0.359688	+	0.451035i
$100$	1.97436	−	8.65023i	0.197436	−	0.865023i
$101$	11.9271	+	5.74381i	1.18679	+	0.571530i	0.919884	−	0.392191i	$-0.128283\pi$
$101$	11.9271	+	5.74381i	1.18679	+	0.571530i	0.266911	+	0.963721i	$0.413997\pi$
$102$	−0.840608	−	1.05409i	−0.0832326	−	0.104370i
$103$	−0.833725	−	1.04546i	−0.0821494	−	0.103012i	0.739058	−	0.673641i	$-0.235271\pi$
$103$	−0.833725	−	1.04546i	−0.0821494	−	0.103012i	−0.821208	+	0.570629i	$0.806699\pi$
$104$	2.49411	+	10.9274i	0.244568	+	1.07152i
$105$	15.9277	+	7.67038i	1.55439	+	0.748552i
$106$	−6.93469	+	3.33957i	−0.673556	+	0.324368i
$107$	2.98282	+	13.0686i	0.288360	+	1.26339i	0.886775	+	0.462201i	$0.152940\pi$
$107$	2.98282	+	13.0686i	0.288360	+	1.26339i	−0.598415	+	0.801186i	$0.704203\pi$
$108$	−0.523728	−	2.29460i	−0.0503957	−	0.220798i
$109$	−14.4431	+	6.95541i	−1.38339	+	0.666208i	−0.969721	−	0.244217i	$-0.921469\pi$
$109$	−14.4431	+	6.95541i	−1.38339	+	0.666208i	−0.413674	+	0.910425i	$0.635755\pi$
$110$	4.03924	+	1.94519i	0.385126	+	0.185467i
$111$	−1.31809	−	5.77494i	−0.125108	−	0.548133i
$112$	3.08686	+	3.87080i	0.291681	+	0.365757i
$113$	−1.95123	−	2.44677i	−0.183556	−	0.230172i	0.681536	−	0.731784i	$-0.261312\pi$
$113$	−1.95123	−	2.44677i	−0.183556	−	0.230172i	−0.865093	+	0.501612i	$0.832741\pi$
$114$	−5.05142	−	2.43264i	−0.473109	−	0.227837i
$115$	−6.68790	+	29.3016i	−0.623650	+	2.73239i
$116$	3.64827	−	4.57479i	0.338734	−	0.424759i
$117$	2.80290	−	12.2803i	0.259128	−	1.13531i
$118$	−7.54359	+	3.63280i	−0.694443	+	0.334426i
$119$	1.47668	+	1.85170i	0.135367	+	0.169745i
$120$	14.3042	−	6.88852i	1.30578	−	0.628833i
$121$	−3.26304	+	4.09172i	−0.296640	+	0.371975i
$122$	2.77135			0.250907
$123$	10.9284			0.985377
$124$	−1.54892	+	1.94228i	−0.139097	+	0.174422i
$125$	0.973408	+	0.468769i	0.0870643	+	0.0419279i
$126$	0.731550	+	3.20513i	0.0651716	+	0.285536i
$127$	2.85359	−	12.5024i	0.253215	−	1.10941i	−0.675133	−	0.737696i	$-0.735914\pi$
$127$	2.85359	−	12.5024i	0.253215	−	1.10941i	0.928348	−	0.371712i	$-0.121229\pi$
$128$	11.5197			1.01821
$129$	7.17171	−	13.4295i	0.631434	−	1.18240i
$130$	−9.83811			−0.862859
$131$	4.70684	−	20.6220i	0.411239	−	1.80176i	−0.167079	−	0.985944i	$-0.553433\pi$
$131$	4.70684	−	20.6220i	0.411239	−	1.80176i	0.578318	−	0.815812i	$-0.303709\pi$
$132$	−2.06286	−	9.03798i	−0.179549	−	0.786655i
$133$	8.87376	+	4.27338i	0.769453	+	0.370549i
$134$	−4.94921	+	6.20611i	−0.427546	+	0.536126i
$135$	4.55069			0.391661
$136$	2.12700			0.182389
$137$	−3.12465	+	3.91819i	−0.266957	+	0.334753i	−0.897184	−	0.441658i	$-0.854391\pi$
$137$	−3.12465	+	3.91819i	−0.266957	+	0.334753i	0.630227	+	0.776411i	$0.282962\pi$
$138$	−11.3557	+	5.46863i	−0.966665	+	0.465521i
$139$	2.22670	+	2.79219i	0.188866	+	0.236831i	0.867245	−	0.497882i	$-0.165889\pi$
$139$	2.22670	+	2.79219i	0.188866	+	0.236831i	−0.678379	+	0.734712i	$0.737317\pi$
$140$	−11.4072	+	5.49344i	−0.964087	+	0.464280i
$141$	0.359590	−	1.57547i	0.0302829	−	0.132678i
$142$	4.65914	−	5.84237i	0.390986	−	0.490281i
$143$	−2.81582	+	12.3369i	−0.235471	+	1.03166i
$144$	−4.50192	−	2.16801i	−0.375160	−	0.180668i
$145$	7.05391	+	8.84532i	0.585795	+	0.734564i
$146$	−1.87201	−	2.34743i	−0.154929	−	0.194274i
$147$	0.718424	+	3.14762i	0.0592546	+	0.259611i
$148$	3.82219	+	1.84067i	0.314182	+	0.151302i
$149$	−13.9092	+	6.69830i	−1.13948	+	0.548746i	−0.905858	−	0.423581i	$-0.860773\pi$
$149$	−13.9092	+	6.69830i	−1.13948	+	0.548746i	−0.233625	+	0.972327i	$0.575059\pi$
$150$	1.60087	+	7.01385i	0.130710	+	0.572679i
$151$	2.28119	+	9.99455i	0.185641	+	0.813345i	0.978880	+	0.204435i	$0.0655357\pi$
$151$	2.28119	+	9.99455i	0.185641	+	0.813345i	−0.793240	+	0.608910i	$0.791607\pi$
$152$	7.96923	−	3.83778i	0.646390	−	0.311285i
$153$	−2.15362	−	1.03713i	−0.174110	−	0.0838468i
$154$	−0.734922	−	3.21990i	−0.0592217	−	0.259467i
$155$	−2.99481	−	3.75538i	−0.240549	−	0.301639i
$156$	12.6838	+	15.9050i	1.01552	+	1.27342i
$157$	15.3132	+	7.37447i	1.22213	+	0.588547i	0.929904	−	0.367803i	$-0.119890\pi$
$157$	15.3132	+	7.37447i	1.22213	+	0.588547i	0.292226	+	0.956349i	$0.405604\pi$
$158$	0.966566	−	4.23480i	0.0768959	−	0.336903i
$159$	−19.1866	+	24.0592i	−1.52160	+	1.90802i
$160$	−3.91173	+	17.1384i	−0.309250	+	1.35491i
$161$	19.9485	−	9.60668i	1.57216	−	0.757112i
$162$	3.78621	+	4.74776i	0.297473	+	0.373019i
$163$	−3.65083	+	1.75815i	−0.285955	+	0.137709i	−0.571363	−	0.820698i	$-0.693585\pi$
$163$	−3.65083	+	1.75815i	−0.285955	+	0.137709i	0.285408	+	0.958406i	$0.407871\pi$
$164$	−4.87991	+	6.11921i	−0.381057	+	0.477830i
$165$	17.9243			1.39540
$166$	−1.71775			−0.133323
$167$	−2.62365	+	3.28995i	−0.203024	+	0.254584i	−0.872911	−	0.487879i	$-0.837771\pi$
$167$	−2.62365	+	3.28995i	−0.203024	+	0.254584i	0.669888	+	0.742463i	$0.266342\pi$
$168$	−10.5376	−	5.07466i	−0.812996	−	0.391518i
$169$	−3.28635	−	14.3984i	−0.252796	−	1.10757i
$170$	−0.415436	+	1.82015i	−0.0318625	+	0.139599i
$171$	−9.94027			−0.760152
$172$	4.31726	+	10.0125i	0.329188	+	0.763443i
$173$	8.89836			0.676530			0.338265	−	0.941051i	$-0.390160\pi$
$173$	8.89836			0.676530			0.338265	+	0.941051i	$0.390160\pi$
$174$	−1.05574	+	4.62551i	−0.0800356	+	0.350659i
$175$	−2.81222	−	12.3211i	−0.212584	−	0.931391i
$176$	4.52268	+	2.17801i	0.340910	+	0.164173i
$177$	−20.8713	+	26.1718i	−1.56878	+	1.96719i
$178$	5.36562			0.402170
$179$	−18.3909			−1.37460			−0.687299	−	0.726375i	$-0.741204\pi$
$179$	−18.3909			−1.37460			−0.687299	+	0.726375i	$0.741204\pi$
$180$	7.96710	−	9.99043i	0.593833	−	0.744643i
$181$	−6.16940	+	2.97103i	−0.458568	+	0.220835i	−0.648883	−	0.760888i	$-0.724763\pi$
$181$	−6.16940	+	2.97103i	−0.458568	+	0.220835i	0.190315	+	0.981723i	$0.439049\pi$
$182$	4.51879	+	5.66638i	0.334955	+	0.420020i
$183$	9.98283	−	4.80748i	0.737952	−	0.355379i
$184$	4.42466	−	19.3857i	0.326190	−	1.42913i
$185$	−5.11416	+	6.41295i	−0.376000	+	0.471489i
$186$	0.448227	−	1.96381i	0.0328656	−	0.143994i
$187$	2.16354	+	1.04191i	0.158214	+	0.0761918i
$188$	0.721594	+	0.904850i	0.0526276	+	0.0659930i
$189$	−2.09020	−	2.62102i	−0.152039	−	0.190651i
$190$	1.72760	+	7.56912i	0.125334	+	0.549122i
$191$	−18.1103	−	8.72148i	−1.31042	−	0.631064i	−0.357392	−	0.933954i	$-0.616334\pi$
$191$	−18.1103	−	8.72148i	−1.31042	−	0.631064i	−0.953025	+	0.302890i	$0.902048\pi$
$192$	2.10342	−	1.01295i	0.151801	−	0.0731036i
$193$	−1.60409	−	7.02797i	−0.115465	−	0.505884i	−0.999276	−	0.0380409i	$-0.987888\pi$
$193$	−1.60409	−	7.02797i	−0.115465	−	0.505884i	0.883811	−	0.467843i	$-0.154969\pi$
$194$	1.05018	+	4.60115i	0.0753987	+	0.330343i
$195$	−35.4383	+	17.0662i	−2.53779	+	1.22214i
$196$	−2.08327	−	1.00325i	−0.148805	−	0.0716609i
$197$	−3.07208	−	13.4597i	−0.218877	−	0.958961i	−0.958310	−	0.285731i	$-0.907764\pi$
$197$	−3.07208	−	13.4597i	−0.218877	−	0.958961i	0.739433	−	0.673230i	$-0.235094\pi$
$198$	2.07826	+	2.60606i	0.147696	+	0.185204i
$199$	−0.154002	−	0.193112i	−0.0109169	−	0.0136893i	0.776343	−	0.630311i	$-0.217072\pi$
$199$	−0.154002	−	0.193112i	−0.0109169	−	0.0136893i	−0.787260	+	0.616621i	$0.788501\pi$
$200$	−10.2258	−	4.92448i	−0.723073	−	0.348213i
$201$	−7.06202	+	30.9407i	−0.498116	+	2.18239i
$202$	4.79305	−	6.01029i	0.337238	−	0.422883i
$203$	1.85461	−	8.12557i	0.130168	−	0.570303i
$204$	3.47818	−	1.67501i	0.243522	−	0.117274i
$205$	−9.43526	−	11.8314i	−0.658987	−	0.826344i
$206$	−0.699616	+	0.336917i	−0.0487445	+	0.0234741i
$207$	−13.9325	+	17.4708i	−0.968377	+	1.21431i
$208$	−11.0156			−0.763794
$209$	9.98609			0.690752
$210$	6.40072	−	8.02625i	0.441692	−	0.553864i
$211$	2.95751	+	1.42426i	0.203603	+	0.0980501i	0.532907	−	0.846174i	$-0.321100\pi$
$211$	2.95751	+	1.42426i	0.203603	+	0.0980501i	−0.329304	+	0.944224i	$0.606814\pi$
$212$	−4.90418	−	21.4866i	−0.336821	−	1.47571i
$213$	6.64812	−	29.1273i	0.455522	−	1.99577i
$214$	7.78417			0.532115
$215$	−20.7311	+	3.83031i	−1.41385	+	0.261225i
$216$	−3.01069			−0.204852
$217$	−0.787395	+	3.44980i	−0.0534518	+	0.234188i
$218$	2.07146	+	9.07566i	0.140297	+	0.614681i
$219$	−10.8153	−	5.20840i	−0.730834	−	0.351951i
$220$	−8.00383	+	10.0365i	−0.539618	+	0.676659i
$221$	−5.26960			−0.354472
$222$	−3.43978			−0.230863
$223$	5.87319	−	7.36475i	0.393298	−	0.493180i	−0.545277	−	0.838256i	$-0.683575\pi$
$223$	5.87319	−	7.36475i	0.393298	−	0.493180i	0.938575	+	0.345076i	$0.112147\pi$
$224$	11.6678	−	5.61892i	0.779588	−	0.375430i
$225$	7.95258	+	9.97222i	0.530172	+	0.664815i
$226$	−1.63736	+	0.788513i	−0.108916	+	0.0524511i
$227$	4.17681	−	18.2998i	0.277225	−	1.21460i	−0.624061	−	0.781376i	$-0.714518\pi$
$227$	4.17681	−	18.2998i	0.277225	−	1.21460i	0.901286	−	0.433226i	$-0.142625\pi$
$228$	10.0095	−	12.5515i	0.662895	−	0.831243i
$229$	−3.15137	+	13.8071i	−0.208249	+	0.912397i	0.757483	+	0.652855i	$0.226429\pi$
$229$	−3.15137	+	13.8071i	−0.208249	+	0.912397i	−0.965732	+	0.259542i	$0.916428\pi$
$230$	15.7248	+	7.57266i	1.03686	+	0.499326i
$231$	−8.23287	−	10.3237i	−0.541683	−	0.679249i
$232$	−4.66680	−	5.85198i	−0.306391	−	0.384202i
$233$	4.10104	+	17.9678i	0.268668	+	1.17711i	0.911564	+	0.411159i	$0.134876\pi$
$233$	4.10104	+	17.9678i	0.268668	+	1.17711i	−0.642896	+	0.765954i	$0.722267\pi$
$234$	−6.59026	−	3.17370i	−0.430819	−	0.207471i
$235$	−2.01612	+	0.970910i	−0.131517	+	0.0633352i
$236$	−5.33480	−	23.3733i	−0.347266	−	1.52147i
$237$	−3.86441	−	16.9311i	−0.251020	−	1.09979i
$238$	1.23915	−	0.596744i	0.0803222	−	0.0386811i
$239$	−3.59297	−	1.73028i	−0.232410	−	0.111923i	0.314055	−	0.949405i	$-0.398312\pi$
$239$	−3.59297	−	1.73028i	−0.232410	−	0.111923i	−0.546465	+	0.837482i	$0.684027\pi$
$240$	3.47205	+	15.2120i	0.224120	+	0.981933i
$241$	1.36023	+	1.70568i	0.0876203	+	0.109872i	0.823709	−	0.567013i	$-0.191901\pi$
$241$	1.36023	+	1.70568i	0.0876203	+	0.109872i	−0.736089	+	0.676885i	$0.763329\pi$
$242$	1.89486	+	2.37609i	0.121807	+	0.152741i
$243$	18.0486	+	8.69174i	1.15782	+	0.557576i
$244$	−1.76580	+	7.73648i	−0.113044	+	0.495277i
$245$	2.78746	−	3.49536i	0.178084	−	0.223311i
$246$	1.41215	−	6.18705i	0.0900357	−	0.394472i
$247$	−19.7436	+	9.50804i	−1.25626	+	0.604982i
$248$	1.98134	+	2.48453i	0.125815	+	0.157768i
$249$	−6.18759	+	2.97979i	−0.392123	+	0.188836i
$250$	0.391175	−	0.490518i	0.0247401	−	0.0310231i
$251$	−17.1725			−1.08392			−0.541961	−	0.840404i	$-0.682318\pi$
$251$	−17.1725			−1.08392			−0.541961	+	0.840404i	$0.682318\pi$
$252$	−9.41352			−0.592996
$253$	13.9967	−	17.5514i	0.879967	−	1.10344i
$254$	−6.70944	−	3.23110i	−0.420988	−	0.202737i
$255$	1.66095	+	7.27709i	0.104013	+	0.455709i
$256$	1.04106	−	4.56116i	0.0650660	−	0.285073i
$257$	−8.94484			−0.557964			−0.278982	−	0.960296i	$-0.589997\pi$
$257$	−8.94484			−0.557964			−0.278982	+	0.960296i	$0.589997\pi$
$258$	−6.67633	−	5.79558i	−0.415650	−	0.360817i
$259$	6.04262			0.375470
$260$	6.26847	−	27.4639i	0.388754	−	1.70324i
$261$	1.87177	+	8.20076i	0.115860	+	0.507614i
$262$	−11.0669	−	5.32952i	−0.683714	−	0.329259i
$263$	4.89149	−	6.13373i	0.301622	−	0.378222i	−0.607804	−	0.794087i	$-0.707950\pi$
$263$	4.89149	−	6.13373i	0.301622	−	0.378222i	0.909427	+	0.415865i	$0.136521\pi$
$264$	−11.8585			−0.729842
$265$	42.6126			2.61767
$266$	3.56602	−	4.47164i	0.218647	−	0.274174i
$267$	19.3278	−	9.30776i	1.18284	−	0.569626i
$268$	−14.1715	−	17.7704i	−0.865659	−	1.08550i
$269$	−14.9274	+	7.18866i	−0.910140	+	0.438300i	−0.829541	−	0.558446i	$-0.811398\pi$
$269$	−14.9274	+	7.18866i	−0.910140	+	0.438300i	−0.0805995	+	0.996747i	$0.525683\pi$
$270$	0.588036	−	2.57635i	0.0357867	−	0.156792i
$271$	5.12012	−	6.42042i	0.311025	−	0.390013i	−0.601609	−	0.798791i	$-0.705473\pi$
$271$	5.12012	−	6.42042i	0.311025	−	0.390013i	0.912634	+	0.408778i	$0.134045\pi$
$272$	−0.465158	+	2.03799i	−0.0282044	+	0.123571i
$273$	26.1068	+	12.5724i	1.58006	+	0.760915i
$274$	1.81450	+	2.27531i	0.109618	+	0.137457i
$275$	−7.98924	−	10.0182i	−0.481769	−	0.604120i
$276$	−8.03074	−	35.1850i	−0.483393	−	2.11789i
$277$	−18.9986	−	9.14923i	−1.14151	−	0.549724i	−0.235039	−	0.971986i	$-0.575522\pi$
$277$	−18.9986	−	9.14923i	−1.14151	−	0.549724i	−0.906474	+	0.422262i	$0.861236\pi$
$278$	1.86852	−	0.899833i	0.112067	−	0.0539684i
$279$	−0.794681	−	3.48172i	−0.0475763	−	0.208445i
$280$	3.60391	+	15.7897i	0.215375	+	0.943618i
$281$	−19.9465	+	9.60572i	−1.18991	+	0.573029i	−0.920783	−	0.390076i	$-0.872449\pi$
$281$	−19.9465	+	9.60572i	−1.18991	+	0.573029i	−0.269125	+	0.963105i	$0.586734\pi$
$282$	−0.845478	−	0.407161i	−0.0503475	−	0.0242461i
$283$	−3.33317	−	14.6036i	−0.198137	−	0.868093i	−0.972045	−	0.234795i	$-0.924558\pi$
$283$	−3.33317	−	14.6036i	−0.198137	−	0.868093i	0.773908	−	0.633298i	$-0.218299\pi$
$284$	13.3409	+	16.7289i	0.791636	+	0.992680i
$285$	19.3533	+	24.2682i	1.14639	+	1.43753i
$286$	6.62064	+	3.18833i	0.391487	+	0.188530i
$287$	−2.48071	+	10.8687i	−0.146432	+	0.641560i
$288$	−8.14909	+	10.2186i	−0.480190	+	0.602139i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	5.91924	−	2.85056i	0.347590	−	0.167391i
$291$	11.7645	+	14.7523i	0.689650	+	0.864793i
$292$	7.74583	−	3.73019i	0.453290	−	0.218293i
$293$	−3.93392	+	4.93298i	−0.229822	+	0.288188i	−0.883349	−	0.468715i	$-0.844717\pi$
$293$	−3.93392	+	4.93298i	−0.229822	+	0.288188i	0.653527	+	0.756903i	$0.273289\pi$
$294$	1.87485			0.109343
$295$	46.3542			2.69885
$296$	3.38348	−	4.24275i	0.196661	−	0.246605i
$297$	−3.06242	−	1.47479i	−0.177700	−	0.0855757i
$298$	1.99489	+	8.74017i	0.115561	+	0.506304i
$299$	−10.9620	+	48.0277i	−0.633950	+	2.77752i
$300$	−20.5998			−1.18933
$301$	11.7282	+	10.1810i	0.676003	+	0.586824i
$302$	5.95315			0.342565
$303$	6.83920	−	29.9645i	0.392902	−	1.72141i
$304$	1.93437	+	8.47504i	0.110944	+	0.486077i
$305$	−13.8237	−	6.65712i	−0.791540	−	0.381186i
$306$	−0.865454	+	1.08525i	−0.0494747	+	0.0620394i
$307$	−17.0976			−0.975813			−0.487907	−	0.872896i	$-0.662239\pi$
$307$	−17.0976			−0.975813			−0.487907	+	0.872896i	$0.662239\pi$
$308$	9.45691			0.538857
$309$	−1.93567	+	2.42725i	−0.110116	+	0.138081i
$310$	−2.51308	+	1.21024i	−0.142733	+	0.0687368i
$311$	−19.2963	−	24.1968i	−1.09419	−	1.37207i	−0.922081	−	0.386997i	$-0.873512\pi$
$311$	−19.2963	−	24.1968i	−1.09419	−	1.37207i	−0.172112	−	0.985077i	$-0.555059\pi$
$312$	23.4457	−	11.2908i	1.32735	−	0.639218i
$313$	7.53161	−	32.9981i	0.425712	−	1.86516i	−0.0713529	−	0.997451i	$-0.522732\pi$
$313$	7.53161	−	32.9981i	0.425712	−	1.86516i	0.497065	−	0.867714i	$-0.334411\pi$
$314$	6.15379	−	7.71661i	0.347279	−	0.435474i
$315$	4.05009	−	17.7446i	0.228197	−	0.999796i
$316$	11.2060	+	5.39651i	0.630385	+	0.303577i
$317$	−7.00421	−	8.78301i	−0.393396	−	0.493303i	0.545207	−	0.838301i	$-0.316451\pi$
$317$	−7.00421	−	8.78301i	−0.393396	−	0.493303i	−0.938603	+	0.344998i	$0.887879\pi$
$318$	11.1418	+	13.9713i	0.624800	+	0.783474i
$319$	−1.88040	−	8.23856i	−0.105282	−	0.461271i
$320$	−2.91270	−	1.40268i	−0.162825	−	0.0784122i
$321$	28.0397	−	13.5032i	1.56502	−	0.753676i
$322$	−2.86106	−	12.5351i	−0.159441	−	0.698555i
$323$	0.925360	+	4.05427i	0.0514884	+	0.225585i
$324$	−15.6662	+	7.54446i	−0.870346	+	0.419137i
$325$	25.3342	+	12.2003i	1.40529	+	0.676752i
$326$	0.523610	+	2.29409i	0.0290001	+	0.127058i
$327$	23.2053	+	29.0985i	1.28325	+	1.60915i
$328$	6.24229	+	7.82758i	0.344673	+	0.432206i
$329$	1.48524	+	0.715254i	0.0818839	+	0.0394332i
$330$	2.31616	−	10.1478i	0.127500	−	0.558615i
$331$	5.76397	−	7.22779i	0.316817	−	0.397275i	−0.597769	−	0.801669i	$-0.703946\pi$
$331$	5.76397	−	7.22779i	0.316817	−	0.397275i	0.914585	+	0.404393i	$0.132517\pi$
$332$	1.09449	−	4.79525i	0.0600677	−	0.263174i
$333$	−5.49460	+	2.64606i	−0.301102	+	0.145003i
$334$	1.52357	+	1.91049i	0.0833659	+	0.104537i
$335$	39.5947	−	19.0678i	2.16329	−	1.04179i
$336$	7.16680	−	8.98688i	0.390981	−	0.490275i
$337$	16.5285			0.900364			0.450182	−	0.892937i	$-0.351359\pi$
$337$	16.5285			0.900364			0.450182	+	0.892937i	$0.351359\pi$
$338$	−8.57628			−0.466488
$339$	−4.53019	+	5.68068i	−0.246046	+	0.308532i
$340$	−4.81640	−	2.31945i	−0.261206	−	0.125790i
$341$	0.798344	+	3.49777i	0.0432328	+	0.189415i
$342$	−1.28447	+	5.62765i	−0.0694564	+	0.304308i
$343$	−19.8724			−1.07301
$344$	13.7155	−	2.53410i	0.739491	−	0.136630i
$345$	69.7793			3.75679
$346$	1.14984	−	5.03777i	0.0618157	−	0.270832i
$347$	0.888465	+	3.89262i	0.0476953	+	0.208967i	0.993161	−	0.116756i	$-0.0372495\pi$
$347$	0.888465	+	3.89262i	0.0476953	+	0.208967i	−0.945465	+	0.325723i	$0.894392\pi$
$348$	−12.2398	−	5.89439i	−0.656124	−	0.315973i
$349$	6.65994	−	8.35130i	0.356498	−	0.447035i	−0.570951	−	0.820984i	$-0.693425\pi$
$349$	6.65994	−	8.35130i	0.356498	−	0.447035i	0.927449	+	0.373950i	$0.121997\pi$
$350$	−7.33896			−0.392284
$351$	7.45895			0.398129
$352$	8.18665	−	10.2657i	0.436350	−	0.547165i
$353$	−12.2555	+	5.90193i	−0.652293	+	0.314128i	−0.730604	−	0.682801i	$-0.760762\pi$
$353$	−12.2555	+	5.90193i	−0.652293	+	0.314128i	0.0783110	+	0.996929i	$0.475047\pi$
$354$	12.1201	+	15.1981i	0.644175	+	0.807769i
$355$	−37.2741	+	17.9503i	−1.97830	+	0.952701i
$356$	−3.41877	+	14.9786i	−0.181194	+	0.793864i
$357$	3.42843	−	4.29912i	0.181452	−	0.227533i
$358$	−2.37645	+	10.4119i	−0.125599	+	0.550287i
$359$	−19.8383	−	9.55360i	−1.04702	−	0.504220i	−0.170389	−	0.985377i	$-0.554502\pi$
$359$	−19.8383	−	9.55360i	−1.04702	−	0.504220i	−0.876634	+	0.481157i	$0.840217\pi$
$360$	−10.1914	−	12.7796i	−0.537132	−	0.673542i
$361$	−1.06407	−	1.33431i	−0.0560039	−	0.0702267i
$362$	0.884831	+	3.87670i	0.0465057	+	0.203755i
$363$	10.9474	+	5.27198i	0.574589	+	0.276707i
$364$	−18.6974	+	9.00419i	−0.980010	+	0.471948i
$365$	3.69889	+	16.2059i	0.193609	+	0.848255i
$366$	−1.43176	−	6.27296i	−0.0748394	−	0.327893i
$367$	20.2552	−	9.75440i	1.05731	−	0.509175i	0.177316	−	0.984154i	$-0.443258\pi$
$367$	20.2552	−	9.75440i	1.05731	−	0.509175i	0.879997	+	0.474978i	$0.157544\pi$
$368$	17.6068	+	8.47900i	0.917819	+	0.441999i
$369$	−2.50367	−	10.9693i	−0.130336	−	0.571038i
$370$	2.96982	+	3.72404i	0.154394	+	0.193603i
$371$	−19.5726	−	24.5433i	−1.01616	−	1.27422i
$372$	5.19656	+	2.50253i	0.269429	+	0.129750i
$373$	0.456840	−	2.00155i	0.0236543	−	0.103636i	−0.961723	−	0.274024i	$-0.911645\pi$
$373$	0.456840	−	2.00155i	0.0236543	−	0.103636i	0.985377	+	0.170388i	$0.0545022\pi$
$374$	0.869444	−	1.09025i	0.0449579	−	0.0563754i
$375$	0.558167	−	2.44549i	0.0288236	−	0.126284i
$376$	1.33384	−	0.642346i	0.0687878	−	0.0331265i
$377$	11.5619	+	14.4982i	0.595470	+	0.746695i
$378$	−1.75398	+	0.844670i	−0.0902148	+	0.0434452i
$379$	−14.9150	+	18.7028i	−0.766130	+	0.960697i	−0.999933	−	0.0115870i	$-0.996312\pi$
$379$	−14.9150	+	18.7028i	−0.766130	+	0.960697i	0.233802	+	0.972284i	$0.424883\pi$
$380$	−22.2306			−1.14041
$381$	−29.7734			−1.52534
$382$	−7.27783	+	9.12612i	−0.372366	+	0.466933i
$383$	−13.0904	−	6.30402i	−0.668890	−	0.322120i	0.0684382	−	0.997655i	$-0.478198\pi$
$383$	−13.0904	−	6.30402i	−0.668890	−	0.322120i	−0.737328	+	0.675535i	$0.763913\pi$
$384$	−5.95143	−	26.0749i	−0.303708	−	1.33063i
$385$	−4.06876	+	17.8264i	−0.207363	+	0.908518i
$386$	−4.18614			−0.213069
$387$	−15.1228	−	4.12189i	−0.768735	−	0.209528i
$388$	−13.5137			−0.686052
$389$	2.49102	−	10.9139i	0.126299	−	0.553354i	−0.871695	−	0.490049i	$-0.836979\pi$
$389$	2.49102	−	10.9139i	0.126299	−	0.553354i	0.997994	−	0.0633050i	$-0.0201641\pi$
$390$	5.08265	+	22.2685i	0.257370	+	1.12761i
$391$	8.42270	+	4.05616i	0.425954	+	0.205129i
$392$	−1.84416	+	2.31250i	−0.0931441	+	0.116799i
$393$	−49.1096			−2.47725
$394$	−8.01711			−0.403896
$395$	−14.9938	+	18.8016i	−0.754419	+	0.946012i
$396$	−8.59923	+	4.14117i	−0.432127	+	0.208102i
$397$	−7.57791	−	9.50240i	−0.380324	−	0.476912i	0.554418	−	0.832238i	$-0.312941\pi$
$397$	−7.57791	−	9.50240i	−0.380324	−	0.476912i	−0.934742	+	0.355327i	$0.884370\pi$
$398$	−0.129229	+	0.0622336i	−0.00647769	+	0.00311949i
$399$	5.08835	−	22.2935i	0.254736	−	1.11607i
$400$	6.95471	−	8.72094i	0.347736	−	0.436047i
$401$	−6.45902	+	28.2988i	−0.322548	+	1.41318i	0.510454	+	0.859905i	$0.329477\pi$
$401$	−6.45902	+	28.2988i	−0.322548	+	1.41318i	−0.833002	+	0.553270i	$0.813380\pi$
$402$	16.6044	+	7.99627i	0.828154	+	0.398818i
$403$	−4.90875	−	6.15537i	−0.244522	−	0.306621i
$404$	13.7243	+	17.2097i	0.682810	+	0.856217i
$405$	−7.48114	−	32.7770i	−0.371741	−	1.62870i
$406$	−4.36061	−	2.09996i	−0.216413	−	0.104219i
$407$	5.51992	−	2.65825i	0.273612	−	0.131765i
$408$	−1.09887	−	4.81446i	−0.0544021	−	0.238351i
$409$	−0.579225	−	2.53775i	−0.0286408	−	0.125484i	0.958587	−	0.284801i	$-0.0919277\pi$
$409$	−0.579225	−	2.53775i	−0.0286408	−	0.125484i	−0.987227	+	0.159318i	$0.949071\pi$
$410$	−7.91754	+	3.81289i	−0.391020	+	0.188305i
$411$	10.4831	+	5.04840i	0.517093	+	0.249019i
$412$	−0.494766	−	2.16771i	−0.0243754	−	0.106795i
$413$	−21.2912	−	26.6983i	−1.04767	−	1.31374i
$414$	8.09069	+	10.1454i	0.397636	+	0.498620i
$415$	8.56823	+	4.12624i	0.420598	+	0.202549i
$416$	−6.41165	+	28.0913i	−0.314357	+	1.37729i
$417$	5.16975	−	6.48266i	0.253164	−	0.317457i
$418$	1.29039	−	5.65359i	0.0631153	−	0.276526i
$419$	7.21665	−	3.47535i	0.352556	−	0.169782i	−0.249220	−	0.968447i	$-0.580174\pi$
$419$	7.21665	−	3.47535i	0.352556	−	0.169782i	0.601776	+	0.798665i	$0.294460\pi$
$420$	18.3277	+	22.9822i	0.894300	+	1.12142i
$421$	21.6379	−	10.4202i	1.05457	−	0.507852i	0.175463	−	0.984486i	$-0.443858\pi$
$421$	21.6379	−	10.4202i	1.05457	−	0.507852i	0.879102	+	0.476634i	$0.158143\pi$
$422$	1.18851	−	1.49034i	0.0578556	−	0.0725486i
$423$	−1.66375			−0.0808941
$424$	−28.1921			−1.36913
$425$	3.32697	−	4.17189i	0.161382	−	0.202367i
$426$	−15.6313	−	7.52762i	−0.757337	−	0.364714i
$427$	2.51516	+	11.0196i	0.121717	+	0.533277i
$428$	−4.95977	+	21.7302i	−0.239740	+	1.05037i
$429$	29.3793			1.41845
$430$	−0.510341	+	12.2318i	−0.0246108	+	0.589869i
$431$	5.85238			0.281899			0.140950	−	0.990017i	$-0.454984\pi$
$431$	5.85238			0.281899			0.140950	+	0.990017i	$0.454984\pi$
$432$	0.658416	−	2.88471i	0.0316780	−	0.138791i
$433$	6.06267	+	26.5623i	0.291353	+	1.27650i	0.882644	+	0.470043i	$0.155762\pi$
$433$	6.06267	+	26.5623i	0.291353	+	1.27650i	−0.591290	+	0.806459i	$0.701381\pi$
$434$	1.85135	+	0.891561i	0.0888674	+	0.0427963i
$435$	16.3771	−	20.5363i	0.785223	−	0.984638i
$436$	−26.6554			−1.27656
$437$	38.8760			1.85969
$438$	−4.34627	+	5.45004i	−0.207673	+	0.260413i
$439$	10.8219	−	5.21157i	0.516503	−	0.248735i	−0.157426	−	0.987531i	$-0.550320\pi$
$439$	10.8219	−	5.21157i	0.516503	−	0.248735i	0.673929	+	0.738796i	$0.264605\pi$
$440$	10.2383	+	12.8385i	0.488094	+	0.612050i
$441$	2.99482	−	1.44223i	0.142610	−	0.0686775i
$442$	−0.680934	+	2.98337i	−0.0323887	+	0.141904i
$443$	−13.7199	+	17.2042i	−0.651851	+	0.817396i	−0.992429	−	0.122821i	$-0.960806\pi$
$443$	−13.7199	+	17.2042i	−0.651851	+	0.817396i	0.340578	+	0.940216i	$0.389377\pi$
$444$	2.19170	−	9.60246i	0.104013	−	0.455713i
$445$	−26.7640	−	12.8889i	−1.26874	−	0.610991i
$446$	−3.41059	−	4.27675i	−0.161496	−	0.202510i
$447$	22.3475	+	28.0228i	1.05700	+	1.32543i
$448$	0.529953	+	2.32187i	0.0250379	+	0.109698i
$449$	−11.7566	−	5.66170i	−0.554830	−	0.267192i	0.135389	−	0.990793i	$-0.456772\pi$
$449$	−11.7566	−	5.66170i	−0.554830	−	0.267192i	−0.690219	+	0.723600i	$0.742486\pi$
$450$	6.67336	−	3.21372i	0.314585	−	0.151496i
$451$	2.51521	+	11.0199i	0.118437	+	0.518904i
$452$	−1.15794	−	5.07326i	−0.0544648	−	0.238626i
$453$	21.4441	−	10.3269i	1.00753	−	0.485202i
$454$	−9.82065	−	4.72937i	−0.460906	−	0.221961i
$455$	−8.92862	−	39.1189i	−0.418580	−	1.83392i
$456$	−12.8039	−	16.0556i	−0.599600	−	0.751874i
$457$	−4.06836	−	5.10157i	−0.190310	−	0.238641i	0.677518	−	0.735506i	$-0.263056\pi$
$457$	−4.06836	−	5.10157i	−0.190310	−	0.238641i	−0.867828	+	0.496865i	$0.834484\pi$
$458$	7.40960	+	3.56828i	0.346228	+	0.166735i
$459$	0.314971	−	1.37998i	0.0147016	−	0.0644118i
$460$	−31.1590	+	39.0721i	−1.45280	+	1.82175i
$461$	5.05498	−	22.1473i	0.235434	−	1.03150i	−0.709619	−	0.704586i	$-0.751133\pi$
$461$	5.05498	−	22.1473i	0.235434	−	1.03150i	0.945053	−	0.326918i	$-0.106010\pi$
$462$	−6.90857	+	3.32699i	−0.321416	+	0.154786i
$463$	22.0533	+	27.6540i	1.02490	+	1.28519i	0.957798	+	0.287443i	$0.0928052\pi$
$463$	22.0533	+	27.6540i	1.02490	+	1.28519i	0.0671062	+	0.997746i	$0.478623\pi$
$464$	6.62769	−	3.19173i	0.307683	−	0.148172i
$465$	−6.95309	+	8.71890i	−0.322442	+	0.404329i
$466$	10.7024			0.495777
$467$	19.3300			0.894488			0.447244	−	0.894412i	$-0.352406\pi$
$467$	19.3300			0.894488			0.447244	+	0.894412i	$0.352406\pi$
$468$	13.0587	−	16.3751i	0.603640	−	0.756941i
$469$	−29.1688	−	14.0469i	−1.34689	−	0.648627i
$470$	0.289156	+	1.26688i	0.0133378	+	0.0584367i
$471$	8.78084	−	38.4714i	0.404600	−	1.77267i
$472$	−30.6675			−1.41159
$473$	15.1925	+	4.14089i	0.698552	+	0.190398i
$474$	−10.0848			−0.463212
$475$	4.93777	−	21.6338i	0.226560	−	0.992626i
$476$	0.876323	+	3.83942i	0.0401662	+	0.175980i
$477$	28.5450	+	13.7465i	1.30698	+	0.629410i
$478$	−1.44387	+	1.81056i	−0.0660412	+	0.0828131i
$479$	−16.3755			−0.748217			−0.374109	−	0.927385i	$-0.622051\pi$
$479$	−16.3755			−0.748217			−0.374109	+	0.927385i	$0.622051\pi$
$480$	40.8137			1.86288
$481$	−8.38252	+	10.5113i	−0.382210	+	0.479276i
$482$	1.14143	−	0.549684i	0.0519908	−	0.0250374i
$483$	−32.0507	−	40.1903i	−1.45836	−	1.82872i
$484$	−7.84039	+	3.77573i	−0.356381	+	0.171624i
$485$	5.81415	−	25.4734i	0.264007	−	1.15669i
$486$	7.25302	−	9.09500i	0.329004	−	0.412558i
$487$	6.85085	−	30.0155i	0.310442	−	1.36013i	−0.543344	−	0.839510i	$-0.682842\pi$
$487$	6.85085	−	30.0155i	0.310442	−	1.36013i	0.853786	−	0.520624i	$-0.174301\pi$
$488$	9.14561	+	4.40429i	0.414002	+	0.199373i
$489$	5.86568	+	7.35533i	0.265255	+	0.332620i
$490$	−1.61869	−	2.02978i	−0.0731251	−	0.0916960i
$491$	−0.266498	−	1.16760i	−0.0120269	−	0.0526933i	0.968558	−	0.248786i	$-0.0800317\pi$
$491$	−0.266498	−	1.16760i	−0.0120269	−	0.0526933i	−0.980585	+	0.196093i	$0.937175\pi$
$492$	16.3719	+	7.88431i	0.738104	+	0.355452i
$493$	3.17054	−	1.52685i	0.142794	−	0.0687659i
$494$	2.83168	+	12.4064i	0.127403	+	0.558191i
$495$	−4.10642	−	17.9914i	−0.184570	−	0.808652i
$496$	−2.81386	+	1.35508i	−0.126346	+	0.0608451i
$497$	27.4592	+	13.2237i	1.23171	+	0.593162i
$498$	0.887440	+	3.88813i	0.0397671	+	0.174231i
$499$	6.91897	+	8.67612i	0.309736	+	0.388396i	0.912197	−	0.409752i	$-0.134385\pi$
$499$	6.91897	+	8.67612i	0.309736	+	0.388396i	−0.602461	+	0.798148i	$0.705813\pi$
$500$	1.12008	+	1.40454i	0.0500916	+	0.0628128i
$501$	8.80225	+	4.23894i	0.393255	+	0.189382i
$502$	−2.21902	+	9.72217i	−0.0990398	+	0.433922i
$503$	22.9005	−	28.7163i	1.02108	−	1.28039i	0.0617555	−	0.998091i	$-0.480330\pi$
$503$	22.9005	−	28.7163i	1.02108	−	1.28039i	0.959325	−	0.282303i	$-0.0910985\pi$
$504$	−2.67951	+	11.7397i	−0.119355	+	0.522927i
$505$	−38.3454	+	18.4662i	−1.70635	+	0.821734i
$506$	−8.12799	−	10.1922i	−0.361333	−	0.453097i
$507$	−30.8930	+	14.8773i	−1.37201	+	0.660724i
$508$	13.2949	−	16.6713i	0.589866	−	0.739668i
$509$	29.1393			1.29158			0.645788	−	0.763517i	$-0.276529\pi$
$509$	29.1393			1.29158			0.645788	+	0.763517i	$0.276529\pi$
$510$	4.33452			0.191936
$511$	7.63503	−	9.57402i	0.337754	−	0.423530i
$512$	18.3101	+	8.81768i	0.809200	+	0.389690i
$513$	−1.30982	−	5.73868i	−0.0578298	−	0.253369i
$514$	−1.15584	+	5.06409i	−0.0509821	+	0.223367i
$515$	4.29903			0.189438
$516$	20.4328	−	14.9448i	0.899503	−	0.657910i
$517$	1.67142			0.0735088
$518$	0.780823	−	3.42101i	0.0343074	−	0.150310i
$519$	−4.59715	−	20.1414i	−0.201793	−	0.884111i
$520$	−32.4663	−	15.6349i	−1.42374	−	0.685637i
$521$	7.90802	−	9.91634i	0.346457	−	0.434443i	−0.577821	−	0.816163i	$-0.696097\pi$
$521$	7.90802	−	9.91634i	0.346457	−	0.434443i	0.924278	+	0.381721i	$0.124668\pi$
$522$	4.88470			0.213797
$523$	−12.8676			−0.562660			−0.281330	−	0.959611i	$-0.590776\pi$
$523$	−12.8676			−0.562660			−0.281330	+	0.959611i	$0.590776\pi$
$524$	21.9292	−	27.4984i	0.957983	−	1.20127i
$525$	−26.4360	+	12.7309i	−1.15376	+	0.555623i
$526$	−2.84052	−	3.56189i	−0.123852	−	0.155306i
$527$	−1.34609	+	0.648241i	−0.0586365	+	0.0282378i
$528$	2.59337	−	11.3623i	0.112862	−	0.494480i
$529$	40.1492	−	50.3455i	1.74562	−	2.18893i
$530$	5.50637	−	24.1250i	0.239181	−	1.04792i
$531$	31.0513	+	14.9535i	1.34751	+	0.648928i
$532$	10.2109	+	12.8040i	0.442697	+	0.555124i
$533$	−15.4652	−	19.3927i	−0.669871	−	0.839991i
$534$	−2.77203	−	12.1451i	−0.119958	−	0.525569i
$535$	−38.8278	−	18.6985i	−1.67867	−	0.808406i
$536$	−26.1955	+	12.6151i	−1.13147	+	0.544889i
$537$	9.50125	+	41.6277i	0.410009	+	1.79637i
$538$	2.14093	+	9.38001i	0.0923019	+	0.404401i
$539$	−3.00862	+	1.44888i	−0.129590	+	0.0624075i
$540$	6.81745	+	3.28311i	0.293376	+	0.141283i
$541$	7.97529	+	34.9420i	0.342884	+	1.50227i	0.792954	+	0.609281i	$0.208542\pi$
$541$	7.97529	+	34.9420i	0.342884	+	1.50227i	−0.450070	+	0.892993i	$0.648601\pi$
$542$	−2.97328	−	3.72838i	−0.127713	−	0.160148i
$543$	9.91221	+	12.4295i	0.425374	+	0.533402i
$544$	4.92641	+	2.37243i	0.211218	+	0.101717i
$545$	11.4683	−	50.2458i	0.491247	−	2.15229i
$546$	10.4913	−	13.1557i	0.448986	−	0.563011i
$547$	5.74746	−	25.1813i	0.245744	−	1.07667i	−0.689949	−	0.723858i	$-0.742367\pi$
$547$	5.74746	−	25.1813i	0.245744	−	1.07667i	0.935693	−	0.352816i	$-0.114776\pi$
$548$	−7.50787	+	3.61560i	−0.320721	+	0.154451i
$549$	−7.11253	−	8.91883i	−0.303555	−	0.380646i
$550$	−6.70412	+	3.22854i	−0.285865	+	0.137665i
$551$	9.12414	−	11.4413i	0.388701	−	0.487416i
$552$	−46.1654			−1.96493
$553$	17.7159			0.753356
$554$	−7.63478	+	9.57371i	−0.324371	+	0.406748i
$555$	17.1578	+	8.26277i	0.728309	+	0.350735i
$556$	1.32141	+	5.78948i	0.0560404	+	0.245529i
$557$	−5.57203	+	24.4127i	−0.236095	+	1.03440i	0.708385	+	0.705827i	$0.249424\pi$
$557$	−5.57203	+	24.4127i	−0.236095	+	1.03440i	−0.944479	+	0.328571i	$0.893433\pi$
$558$	−2.07385			−0.0877932
$559$	−33.9800	+	6.27819i	−1.43720	+	0.265539i
$560$	−15.9172			−0.672622
$561$	1.24061	−	5.43546i	0.0523785	−	0.229485i
$562$	2.86077	+	12.5339i	0.120674	+	0.528709i
$563$	−23.3351	−	11.2376i	−0.983459	−	0.473609i	−0.128165	−	0.991753i	$-0.540909\pi$
$563$	−23.3351	−	11.2376i	−0.983459	−	0.473609i	−0.855293	+	0.518144i	$0.826623\pi$
$564$	1.67533	−	2.10080i	0.0705442	−	0.0884596i
$565$	10.0614			0.423285
$566$	−8.69848			−0.365624
$567$	−15.4421	+	19.3638i	−0.648509	+	0.813204i
$568$	24.6602	−	11.8757i	1.03472	−	0.498295i
$569$	−5.41058	−	6.78465i	−0.226823	−	0.284428i	0.655377	−	0.755302i	$-0.272510\pi$
$569$	−5.41058	−	6.78465i	−0.226823	−	0.284428i	−0.882200	+	0.470875i	$0.843938\pi$
$570$	16.2402	−	7.82086i	0.680226	−	0.327580i
$571$	−7.26770	+	31.8419i	−0.304144	+	1.33254i	0.559664	+	0.828719i	$0.310930\pi$
$571$	−7.26770	+	31.8419i	−0.304144	+	1.33254i	−0.863808	+	0.503821i	$0.831927\pi$
$572$	−13.1189	+	16.4506i	−0.548530	+	0.687835i
$573$	−10.3847	+	45.4985i	−0.433829	+	1.90073i
$574$	5.83272	+	2.80889i	0.243453	+	0.117241i
$575$	−31.1022	−	39.0009i	−1.29705	−	1.62645i
$576$	−1.49864	−	1.87923i	−0.0624432	−	0.0783012i
$577$	3.79774	+	16.6390i	0.158102	+	0.692690i	0.990385	+	0.138339i	$0.0441763\pi$
$577$	3.79774	+	16.6390i	0.158102	+	0.692690i	−0.832283	+	0.554351i	$0.812967\pi$
$578$	0.523198	+	0.251959i	0.0217622	+	0.0104801i
$579$	−15.0791	+	7.26170i	−0.626665	+	0.301786i
$580$	4.18607	+	18.3404i	0.173817	+	0.761542i
$581$	−1.55895	−	6.83022i	−0.0646763	−	0.283365i
$582$	9.87215	−	4.75417i	0.409214	−	0.197067i
$583$	−28.6765	−	13.8099i	−1.18766	−	0.571947i
$584$	−2.44715	−	10.7217i	−0.101264	−	0.443666i
$585$	25.2490	+	31.6612i	1.04392	+	1.30903i
$586$	2.28445	+	2.86461i	0.0943699	+	0.118336i
$587$	14.5350	+	6.99971i	0.599926	+	0.288909i	0.709094	−	0.705114i	$-0.249104\pi$
$587$	14.5350	+	6.99971i	0.599926	+	0.288909i	−0.109168	+	0.994023i	$0.534819\pi$
$588$	−1.19458	+	5.23380i	−0.0492637	+	0.215838i
$589$	−3.87376	+	4.85754i	−0.159615	+	0.200151i
$590$	5.98985	−	26.2433i	0.246598	−	1.08042i
$591$	−28.8788	+	13.9073i	−1.18792	+	0.572070i
$592$	3.32527	+	4.16975i	0.136668	+	0.171376i
$593$	0.481984	−	0.232111i	0.0197927	−	0.00953166i	−0.423961	−	0.905680i	$-0.639361\pi$
$593$	0.481984	−	0.232111i	0.0197927	−	0.00953166i	0.443754	+	0.896149i	$0.353646\pi$
$594$	−1.23067	+	1.54321i	−0.0504949	+	0.0633186i
$595$	−7.61440			−0.312160
$596$	−25.6700			−1.05148
$597$	−0.357547	+	0.448349i	−0.0146334	+	0.0183497i
$598$	25.7742	+	12.4122i	1.05399	+	0.507573i
$599$	−6.80150	−	29.7993i	−0.277902	−	1.21757i	−0.900441	−	0.434979i	$-0.856756\pi$
$599$	−6.80150	−	29.7993i	−0.277902	−	1.21757i	0.622539	−	0.782589i	$-0.286101\pi$
$600$	−5.86362	+	25.6902i	−0.239381	+	1.04880i
$601$	−25.1697			−1.02669			−0.513347	−	0.858181i	$-0.671595\pi$
$601$	−25.1697			−1.02669			−0.513347	+	0.858181i	$0.671595\pi$
$602$	7.27946	−	5.32430i	0.296689	−	0.217002i
$603$	32.6745			1.33061
$604$	−3.79312	+	16.6187i	−0.154340	+	0.676207i
$605$	−3.74404	−	16.4037i	−0.152217	−	0.666906i
$606$	−16.0805	−	7.74397i	−0.653226	−	0.314577i
$607$	10.7011	−	13.4187i	0.434344	−	0.544650i	−0.515699	−	0.856770i	$-0.672468\pi$
$607$	10.7011	−	13.4187i	0.434344	−	0.544650i	0.950043	+	0.312120i	$0.101039\pi$
$608$	22.7384			0.922165
$609$	−19.3504			−0.784116
$610$	−5.55519	+	6.96599i	−0.224923	+	0.282044i
$611$	−3.30458	+	1.59140i	−0.133689	+	0.0643812i
$612$	−2.47812	−	3.10747i	−0.100172	−	0.125612i
$613$	−1.82092	+	0.876911i	−0.0735464	+	0.0354181i	−0.470295	−	0.882509i	$-0.655853\pi$
$613$	−1.82092	+	0.876911i	−0.0735464	+	0.0354181i	0.396749	+	0.917927i	$0.370138\pi$
$614$	−2.20934	+	9.67976i	−0.0891618	+	0.390643i
$615$	−21.9059	+	27.4692i	−0.883333	+	1.10766i
$616$	2.69186	−	11.7938i	0.108458	−	0.475186i
$617$	34.5909	+	16.6581i	1.39258	+	0.670630i	0.971641	−	0.236461i	$-0.0759875\pi$
$617$	34.5909	+	16.6581i	1.39258	+	0.670630i	0.420936	+	0.907091i	$0.361702\pi$
$618$	1.12405	+	1.40952i	0.0452161	+	0.0566991i
$619$	−25.8292	−	32.3888i	−1.03816	−	1.30182i	−0.952186	−	0.305520i	$-0.901170\pi$
$619$	−25.8292	−	32.3888i	−1.03816	−	1.30182i	−0.0859792	−	0.996297i	$-0.527402\pi$
$620$	−1.77724	−	7.78661i	−0.0713757	−	0.312718i
$621$	−11.9220	−	5.74136i	−0.478415	−	0.230393i
$622$	−16.1924	+	7.79784i	−0.649255	+	0.312665i
$623$	4.86960	+	21.3351i	0.195096	+	0.854773i
$624$	5.69097	+	24.9338i	0.227821	+	0.998150i
$625$	20.9086	−	10.0691i	0.836344	−	0.402762i
$626$	−17.7085	−	8.52798i	−0.707776	−	0.340847i
$627$	−5.15910	−	22.6035i	−0.206035	−	0.902697i
$628$	17.6206	+	22.0956i	0.703140	+	0.881710i
$629$	1.59073	+	1.99471i	0.0634266	+	0.0795344i
$630$	−9.52270	−	4.58589i	−0.379394	−	0.182706i
$631$	−8.92899	+	39.1204i	−0.355457	+	1.55736i	0.408907	+	0.912576i	$0.365910\pi$
$631$	−8.92899	+	39.1204i	−0.355457	+	1.55736i	−0.764365	+	0.644784i	$0.776947\pi$
$632$	9.91976	−	12.4390i	0.394587	−	0.494796i
$633$	1.69588	−	7.43013i	0.0674051	−	0.295321i
$634$	−5.87754	+	2.83048i	−0.233427	+	0.112413i
$635$	25.7056	+	32.2338i	1.02009	+	1.27916i
$636$	−46.1013	+	22.2012i	−1.82804	+	0.880336i
$637$	4.56887	−	5.72919i	0.181025	−	0.226999i
$638$	−4.90721			−0.194278
$639$	−30.7595			−1.21683
$640$	−23.0914	+	28.9556i	−0.912766	+	1.14457i
$641$	38.2933	+	18.4411i	1.51249	+	0.728378i	0.992088	−	0.125541i	$-0.0400667\pi$
$641$	38.2933	+	18.4411i	1.51249	+	0.728378i	0.520405	+	0.853920i	$0.325781\pi$
$642$	−4.02153	−	17.6195i	−0.158717	−	0.695384i
$643$	−2.90373	+	12.7221i	−0.114512	+	0.501709i	0.884846	+	0.465883i	$0.154263\pi$
$643$	−2.90373	+	12.7221i	−0.114512	+	0.501709i	−0.999358	+	0.0358257i	$0.988594\pi$
$644$	36.8159			1.45075
$645$	19.3802	+	44.9460i	0.763095	+	1.76975i
$646$	2.41488			0.0950122
$647$	−4.57409	+	20.0404i	−0.179826	+	0.787870i	0.801883	+	0.597481i	$0.203832\pi$
$647$	−4.57409	+	20.0404i	−0.179826	+	0.787870i	−0.981709	+	0.190388i	$0.939025\pi$
$648$	4.94946	+	21.6850i	0.194433	+	0.851867i
$649$	−31.1945	−	15.0225i	−1.22449	−	0.589683i
$650$	10.1808	−	12.7664i	0.399325	−	0.500738i
$651$	8.21541			0.321987
$652$	−6.73777			−0.263872
$653$	−2.55632	+	3.20552i	−0.100036	+	0.125442i	−0.829330	−	0.558759i	$-0.811278\pi$
$653$	−2.55632	+	3.20552i	−0.100036	+	0.125442i	0.729293	+	0.684201i	$0.239849\pi$
$654$	19.4726	−	9.37750i	0.761438	−	0.366689i
$655$	42.4000	+	53.1679i	1.65670	+	2.07744i
$656$	−8.86516	+	4.26924i	−0.346127	+	0.166686i
$657$	−2.75013	+	12.0491i	−0.107293	+	0.470080i
$658$	0.596860	−	0.748438i	0.0232680	−	0.0291772i
$659$	−8.23550	+	36.0821i	−0.320810	+	1.40556i	0.515306	+	0.857006i	$0.327678\pi$
$659$	−8.23550	+	36.0821i	−0.320810	+	1.40556i	−0.836116	+	0.548553i	$0.815179\pi$
$660$	26.8526	+	12.9315i	1.04524	+	0.503359i
$661$	1.25350	+	1.57184i	0.0487557	+	0.0611377i	0.805611	−	0.592444i	$-0.201837\pi$
$661$	1.25350	+	1.57184i	0.0487557	+	0.0611377i	−0.756856	+	0.653582i	$0.773266\pi$
$662$	−3.34717	−	4.19722i	−0.130092	−	0.163130i
$663$	2.72243	+	11.9277i	0.105730	+	0.463235i
$664$	−5.66867	−	2.72989i	−0.219987	−	0.105940i
$665$	−28.5289	+	13.7388i	−1.10630	+	0.532768i
$666$	0.788048	+	3.45267i	0.0305363	+	0.133788i
$667$	−7.32041	−	32.0728i	−0.283447	−	1.24186i
$668$	−6.30407	+	3.03588i	−0.243912	+	0.117462i
$669$	−19.7044	−	9.48912i	−0.761814	−	0.366870i
$670$	−5.67877	−	24.8803i	−0.219390	−	0.961211i
$671$	7.14531	+	8.95994i	0.275842	+	0.345895i
$672$	−18.7463	−	23.5072i	−0.723156	−	0.906808i
$673$	−6.44010	−	3.10139i	−0.248248	−	0.119550i	0.305623	−	0.952153i	$-0.401135\pi$
$673$	−6.44010	−	3.10139i	−0.248248	−	0.119550i	−0.553870	+	0.832603i	$0.686850\pi$
$674$	2.13580	−	9.35754i	0.0822679	−	0.360439i
$675$	−4.70922	+	5.90518i	−0.181258	+	0.227290i
$676$	5.46448	−	23.9415i	0.210172	−	0.920825i
$677$	−13.4884	+	6.49565i	−0.518400	+	0.249648i	−0.674741	−	0.738055i	$-0.735744\pi$
$677$	−13.4884	+	6.49565i	−0.518400	+	0.249648i	0.156341	+	0.987703i	$0.450030\pi$
$678$	2.63071	+	3.29880i	0.101032	+	0.126690i
$679$	−17.3423	+	8.35159i	−0.665535	+	0.320505i
$680$	−4.26357	+	5.34635i	−0.163501	+	0.205023i
$681$	−43.5795			−1.66997
$682$	2.08341			0.0797780
$683$	18.7154	−	23.4684i	0.716125	−	0.897993i	−0.281986	−	0.959418i	$-0.590993\pi$
$683$	18.7154	−	23.4684i	0.716125	−	0.897993i	0.998112	+	0.0614256i	$0.0195647\pi$
$684$	−14.8917	−	7.17145i	−0.569397	−	0.274207i
$685$	−3.58526	−	15.7080i	−0.136986	−	0.600173i
$686$	−2.56790	+	11.2507i	−0.0980429	+	0.429554i
$687$	32.8804			1.25446
$688$	−0.571421	+	13.6958i	−0.0217852	+	0.522146i
$689$	69.8456			2.66090
$690$	9.01683	−	39.5053i	0.343265	−	1.50394i
$691$	0.537561	+	2.35521i	0.0204498	+	0.0895964i	0.984123	−	0.177488i	$-0.0567970\pi$
$691$	0.537561	+	2.35521i	0.0204498	+	0.0895964i	−0.963673	+	0.267084i	$0.913940\pi$
$692$	13.3308	+	6.41975i	0.506759	+	0.244042i
$693$	−8.47622	+	10.6288i	−0.321985	+	0.403756i
$694$	2.31860			0.0880128
$695$	−11.4818			−0.435529
$696$	−10.8350	+	13.5866i	−0.410698	+	0.514999i
$697$	−4.24089	+	2.04231i	−0.160635	+	0.0773578i
$698$	−3.86746	−	4.84965i	−0.146386	−	0.183562i
$699$	38.5515	−	18.5654i	1.45815	−	0.702209i
$700$	4.67611	−	20.4874i	0.176740	−	0.774349i
$701$	13.1007	−	16.4278i	0.494808	−	0.620469i	−0.470242	−	0.882538i	$-0.655833\pi$
$701$	13.1007	−	16.4278i	0.494808	−	0.620469i	0.965049	+	0.262069i	$0.0844047\pi$
$702$	0.963839	−	4.22285i	0.0363778	−	0.159381i
$703$	9.55909	+	4.60342i	0.360528	+	0.173621i
$704$	1.50554	+	1.88789i	0.0567423	+	0.0711526i
$705$	3.23924	+	4.06188i	0.121997	+	0.152979i
$706$	1.75771	+	7.70104i	0.0661523	+	0.289832i
$707$	28.2484	+	13.6037i	1.06239	+	0.511621i
$708$	−50.1493	+	24.1506i	−1.88472	+	0.907636i
$709$	−4.48802	−	19.6633i	−0.168551	−	0.738471i	−0.986578	−	0.163291i	$-0.947789\pi$
$709$	−4.48802	−	19.6633i	−0.168551	−	0.738471i	0.818027	−	0.575180i	$-0.195068\pi$
$710$	5.34594	+	23.4221i	0.200630	+	0.879016i
$711$	−16.1092	+	7.75777i	−0.604141	+	0.290939i
$712$	17.7068	+	8.52716i	0.663591	+	0.319569i
$713$	3.10796	+	13.6169i	0.116394	+	0.509956i
$714$	−1.99091	−	2.49652i	−0.0745079	−	0.0934300i
$715$	−25.3653	−	31.8071i	−0.948610	−	1.18952i
$716$	−27.5516	−	13.2682i	−1.02965	−	0.495854i
$717$	−2.06026	+	9.02659i	−0.0769418	+	0.337104i
$718$	−7.97222	+	9.99684i	−0.297520	+	0.373079i
$719$	−5.66224	+	24.8079i	−0.211166	+	0.925178i	0.752610	+	0.658466i	$0.228794\pi$
$719$	−5.66224	+	24.8079i	−0.211166	+	0.925178i	−0.963776	+	0.266712i	$0.914063\pi$
$720$	14.4736	−	6.97010i	0.539398	−	0.259760i
$721$	−1.97461	−	2.47608i	−0.0735383	−	0.0922141i
$722$	−0.892912	+	0.430004i	−0.0332307	+	0.0160031i
$723$	3.15807	−	3.96009i	0.117450	−	0.147277i
$724$	−11.3859			−0.423155
$725$	−18.7777			−0.697387
$726$	4.39932	−	5.51658i	0.163274	−	0.204739i
$727$	2.17886	+	1.04929i	0.0808096	+	0.0389158i	0.473852	−	0.880605i	$-0.342863\pi$
$727$	2.17886	+	1.04929i	0.0808096	+	0.0389158i	−0.393042	+	0.919520i	$0.628577\pi$
$728$	5.90710	+	25.8807i	0.218932	+	0.959202i
$729$	3.36842	−	14.7580i	0.124756	−	0.546593i
$730$	9.65287			0.357269
$731$	−0.273355	+	6.55174i	−0.0101104	+	0.242325i
$732$	18.4238			0.680963
$733$	−8.48190	+	37.1616i	−0.313286	+	1.37260i	0.535801	+	0.844344i	$0.320010\pi$
$733$	−8.48190	+	37.1616i	−0.313286	+	1.37260i	−0.849088	+	0.528252i	$0.822848\pi$
$734$	−2.90505	−	12.7279i	−0.107227	−	0.469794i
$735$	−9.35183	−	4.50361i	−0.344948	−	0.166118i
$736$	31.8707	−	39.9646i	1.17477	−	1.47312i
$737$	−32.8251			−1.20913
$738$	−6.53374			−0.240510
$739$	16.8120	−	21.0816i	0.618439	−	0.775498i	−0.369685	−	0.929157i	$-0.620534\pi$
$739$	16.8120	−	21.0816i	0.618439	−	0.775498i	0.988124	+	0.153659i	$0.0491057\pi$
$740$	−12.2882	+	5.91770i	−0.451724	+	0.217539i
$741$	31.7216	+	39.7776i	1.16532	+	1.46127i
$742$	−16.4242	+	7.90949i	−0.602953	+	0.290367i
$743$	0.791665	−	3.46851i	0.0290434	−	0.127247i	−0.958328	−	0.285670i	$-0.907784\pi$
$743$	0.791665	−	3.46851i	0.0290434	−	0.127247i	0.987371	+	0.158423i	$0.0506409\pi$
$744$	4.60010	−	5.76835i	0.168648	−	0.211478i
$745$	11.0443	−	48.3884i	0.404633	−	1.77281i
$746$	−1.07414	−	0.517276i	−0.0393269	−	0.0189388i
$747$	4.40851	+	5.52810i	0.161299	+	0.202263i
$748$	2.48955	+	3.12179i	0.0910268	+	0.114144i
$749$	7.06456	+	30.9519i	0.258133	+	1.13096i
$750$	−1.31238	−	0.632008i	−0.0479213	−	0.0230777i
$751$	20.9001	−	10.0650i	0.762656	−	0.367276i	−0.0117778	−	0.999931i	$-0.503749\pi$
$751$	20.9001	−	10.0650i	0.762656	−	0.367276i	0.774434	+	0.632655i	$0.218035\pi$
$752$	0.323764	+	1.41850i	0.0118065	+	0.0517275i
$753$	8.87183	+	38.8700i	0.323308	+	1.41650i
$754$	9.70212	−	4.67230i	0.353331	−	0.170155i
$755$	−29.6946	−	14.3002i	−1.08070	−	0.520437i
$756$	−1.24041	−	5.43457i	−0.0451131	−	0.197653i
$757$	6.14276	+	7.70278i	0.223263	+	0.279962i	0.880829	−	0.473434i	$-0.156986\pi$
$757$	6.14276	+	7.70278i	0.223263	+	0.279962i	−0.657567	+	0.753396i	$0.728414\pi$
$758$	8.66121	+	10.8608i	0.314589	+	0.394482i
$759$	−46.9586	−	22.6141i	−1.70449	−	0.820839i
$760$	−6.32783	+	27.7240i	−0.229535	+	1.00566i
$761$	−7.86364	+	9.86069i	−0.285057	+	0.357450i	−0.903658	−	0.428256i	$-0.859128\pi$
$761$	−7.86364	+	9.86069i	−0.285057	+	0.357450i	0.618601	+	0.785705i	$0.287700\pi$
$762$	−3.84730	+	16.8561i	−0.139373	+	0.610632i
$763$	−34.2072	+	16.4733i	−1.23838	+	0.596374i
$764$	−20.8392	−	26.1315i	−0.753936	−	0.945406i
$765$	6.92382	−	3.33434i	0.250331	−	0.120553i
$766$	−5.26053	+	6.59650i	−0.190071	+	0.238341i
$767$	75.9784			2.74342
$768$	−10.8620			−0.391950
$769$	−2.18136	+	2.73534i	−0.0786619	+	0.0986389i	−0.819605	−	0.572929i	$-0.805807\pi$
$769$	−2.18136	+	2.73534i	−0.0786619	+	0.0986389i	0.740943	+	0.671567i	$0.234379\pi$
$770$	9.56660	+	4.60703i	0.344756	+	0.166026i
$771$	4.62116	+	20.2466i	0.166427	+	0.729165i
$772$	2.66725	−	11.6860i	0.0959963	−	0.420587i
$773$	−43.4373			−1.56233			−0.781166	−	0.624323i	$-0.785375\pi$
$773$	−43.4373			−1.56233			−0.781166	+	0.624323i	$0.785375\pi$
$774$	−4.28775	+	8.02909i	−0.154120	+	0.288600i
$775$	7.97230			0.286373
$776$	−3.84659	+	16.8530i	−0.138084	+	0.604988i
$777$	−3.12179	−	13.6775i	−0.111994	−	0.490677i
$778$	−5.85695	−	2.82056i	−0.209982	−	0.101122i
$779$	−12.2044	+	15.3038i	−0.437268	+	0.548317i
$780$	−65.4031			−2.34181
$781$	30.9012			1.10573
$782$	3.38475	−	4.24435i	0.121039	−	0.151778i
$783$	−4.48779	+	2.16120i	−0.160380	+	0.0772351i
$784$	−1.81243	−	2.27271i	−0.0647296	−	0.0811683i
$785$	−49.2317	+	23.7087i	−1.75715	+	0.846200i
$786$	−6.34591	+	27.8032i	−0.226351	+	0.991709i
$787$	4.50666	−	5.65117i	0.160645	−	0.201443i	−0.694994	−	0.719016i	$-0.744593\pi$
$787$	4.50666	−	5.65117i	0.160645	−	0.201443i	0.855639	+	0.517573i	$0.173164\pi$
$788$	5.10820	−	22.3805i	0.181972	−	0.797271i
$789$	−16.4108	−	7.90302i	−0.584239	−	0.281355i
$790$	8.70698	+	10.9182i	0.309780	+	0.388452i
$791$	−4.62133	−	5.79497i	−0.164316	−	0.206045i
$792$	2.71677	+	11.9029i	0.0965361	+	0.422952i
$793$	−22.6581	−	10.9116i	−0.804613	−	0.387481i
$794$	−6.35896	+	3.06231i	−0.225671	+	0.108677i
$795$	−22.0149	−	96.4536i	−0.780789	−	3.42086i
$796$	−0.0913906	−	0.400408i	−0.00323925	−	0.0141921i
$797$	−11.5701	+	5.57185i	−0.409833	+	0.197365i	−0.627429	−	0.778674i	$-0.715893\pi$
$797$	−11.5701	+	5.57185i	−0.409833	+	0.197365i	0.217596	+	0.976039i	$0.430178\pi$
$798$	−11.9639	−	5.76150i	−0.423516	−	0.203955i
$799$	0.154881	+	0.678580i	0.00547931	+	0.0240064i
$800$	−18.1916	−	22.8115i	−0.643169	−	0.806509i
$801$	−13.7706	−	17.2677i	−0.486559	−	0.610126i
$802$	15.1866	+	7.31350i	0.536259	+	0.258249i
$803$	2.76280	−	12.1046i	0.0974972	−	0.427163i
$804$	−32.9020	+	41.2578i	−1.16036	+	1.45505i
$805$	−15.8397	+	69.3984i	−0.558278	+	2.44597i
$806$	−4.11915	+	1.98368i	−0.145091	+	0.0698720i
$807$	23.9835	+	30.0743i	0.844258	+	1.05867i
$808$	25.3690	−	12.2171i	0.892478	−	0.429795i
$809$	0.510404	−	0.640026i	0.0179448	−	0.0225021i	−0.772778	−	0.634676i	$-0.781133\pi$
$809$	0.510404	−	0.640026i	0.0179448	−	0.0225021i	0.790723	+	0.612174i	$0.209705\pi$
$810$	−19.5233			−0.685979
$811$	−23.7164			−0.832795			−0.416398	−	0.909183i	$-0.636708\pi$
$811$	−23.7164			−0.832795			−0.416398	+	0.909183i	$0.636708\pi$
$812$	8.64063	−	10.8350i	0.303227	−	0.380234i
$813$	−17.1778	−	8.27240i	−0.602453	−	0.290126i
$814$	−0.791681	−	3.46858i	−0.0277484	−	0.121574i
$815$	2.89888	−	12.7008i	0.101543	−	0.444890i
$816$	4.85331			0.169900
$817$	10.7972	+	25.0406i	0.377748	+	0.876061i
$818$	−1.51158			−0.0528513
$819$	6.63844	−	29.0849i	0.231966	−	1.01631i
$820$	−5.59926	−	24.5320i	−0.195535	−	0.856693i
$821$	39.7020	+	19.1195i	1.38561	+	0.667275i	0.970188	−	0.242354i	$-0.0779194\pi$
$821$	39.7020	+	19.1195i	1.38561	+	0.667275i	0.415423	+	0.909629i	$0.363634\pi$
$822$	4.21275	−	5.28262i	0.146936	−	0.184253i
$823$	−9.58228			−0.334017			−0.167009	−	0.985955i	$-0.553411\pi$
$823$	−9.58228			−0.334017			−0.167009	+	0.985955i	$0.553411\pi$
$824$	−2.84420			−0.0990825
$825$	−18.5487	+	23.2593i	−0.645783	+	0.809786i
$826$	−17.8664	+	8.60399i	−0.621650	+	0.299371i
$827$	18.6390	+	23.3726i	0.648143	+	0.812746i	0.991995	−	0.126278i	$-0.0403032\pi$
$827$	18.6390	+	23.3726i	0.648143	+	0.812746i	−0.343852	+	0.939024i	$0.611732\pi$
$828$	−33.4769	+	16.1216i	−1.16340	+	0.560265i
$829$	7.15195	−	31.3347i	0.248397	−	1.08830i	−0.684742	−	0.728785i	$-0.740085\pi$
$829$	7.15195	−	31.3347i	0.248397	−	1.08830i	0.933139	−	0.359515i	$-0.117058\pi$
$830$	3.44324	−	4.31768i	0.119517	−	0.149869i
$831$	−10.8941	+	47.7300i	−0.377911	+	1.65573i
$832$	−4.77415	−	2.29911i	−0.165514	−	0.0797072i
$833$	−0.867024	−	1.08721i	−0.0300406	−	0.0376697i
$834$	−3.00210	−	3.76452i	−0.103954	−	0.130355i
$835$	−3.01040	−	13.1894i	−0.104179	−	0.456439i
$836$	14.9603	+	7.20450i	0.517413	+	0.249173i
$837$	1.90534	−	0.917564i	0.0658582	−	0.0317156i
$838$	−1.03503	−	4.53476i	−0.0357545	−	0.156651i
$839$	−7.25468	−	31.7848i	−0.250459	−	1.09733i	−0.931114	−	0.364729i	$-0.881162\pi$
$839$	−7.25468	−	31.7848i	−0.250459	−	1.09733i	0.680654	−	0.732605i	$-0.261696\pi$
$840$	33.8782	−	16.3149i	1.16891	−	0.562917i
$841$	14.9709	+	7.20960i	0.516237	+	0.248607i
$842$	−3.10336	−	13.5967i	−0.106949	−	0.468573i
$843$	32.0475	+	40.1863i	1.10377	+	1.38409i
$844$	3.40314	+	4.26741i	0.117141	+	0.146890i
$845$	42.7790	+	20.6013i	1.47164	+	0.708705i
$846$	−0.214988	+	0.941924i	−0.00739144	+	0.0323840i
$847$	−7.72823	+	9.69090i	−0.265545	+	0.332983i
$848$	6.16540	−	27.0124i	0.211721	−	0.927610i
$849$	−31.3332	+	15.0893i	−1.07535	+	0.517862i
$850$	−1.93199	−	2.42264i	−0.0662668	−	0.0830960i
$851$	21.4891	−	10.3486i	0.736638	−	0.354746i
$852$	30.9736	−	38.8397i	1.06114	−	1.33063i
$853$	−15.8058			−0.541179			−0.270590	−	0.962695i	$-0.587219\pi$
$853$	−15.8058			−0.541179			−0.270590	+	0.962695i	$0.587219\pi$
$854$	6.56372			0.224606
$855$	19.9253	−	24.9855i	0.681431	−	0.854488i
$856$	25.6881	+	12.3708i	0.878003	+	0.422824i
$857$	−0.689388	−	3.02041i	−0.0235490	−	0.103175i	0.961788	−	0.273797i	$-0.0882796\pi$
$857$	−0.689388	−	3.02041i	−0.0235490	−	0.103175i	−0.985337	+	0.170622i	$0.945422\pi$
$858$	3.79637	−	16.6330i	0.129606	−	0.567841i
$859$	15.4150			0.525954			0.262977	−	0.964802i	$-0.415296\pi$
$859$	15.4150			0.525954			0.262977	+	0.964802i	$0.415296\pi$
$860$	−33.8210	−	9.21829i	−1.15329	−	0.314341i
$861$	25.8829			0.882088
$862$	0.756240	−	3.31330i	0.0257576	−	0.112852i
$863$	−8.42392	−	36.9076i	−0.286753	−	1.25635i	−0.888951	−	0.458002i	$-0.848565\pi$
$863$	−8.42392	−	36.9076i	−0.286753	−	1.25635i	0.602198	−	0.798347i	$-0.294292\pi$
$864$	−6.97317	−	3.35810i	−0.237232	−	0.114245i
$865$	−17.8368	+	22.3666i	−0.606469	+	0.760488i
$866$	15.8215			0.537638
$867$	2.32171			0.0788494
$868$	−3.66848	+	4.60013i	−0.124516	+	0.156138i
$869$	16.1834	−	7.79352i	0.548985	−	0.264377i
$870$	−9.51029	−	11.9255i	−0.322429	−	0.404313i
$871$	64.8990	−	31.2537i	2.19902	−	1.05899i
$872$	−7.58730	+	33.2422i	−0.256939	+	1.12572i
$873$	12.1123	−	15.1883i	0.409938	−	0.514047i
$874$	5.02352	−	22.0095i	0.169923	−	0.744482i
$875$	2.30544	+	1.11024i	0.0779380	+	0.0375330i
$876$	−12.4450	−	15.6055i	−0.420478	−	0.527262i
$877$	−3.40424	−	4.26878i	−0.114953	−	0.144147i	0.721026	−	0.692908i	$-0.243671\pi$
$877$	−3.40424	−	4.26878i	−0.114953	−	0.144147i	−0.835979	+	0.548762i	$0.815099\pi$
$878$	−1.55211	−	6.80024i	−0.0523812	−	0.229497i
$879$	13.1982	+	6.35591i	0.445164	+	0.214380i
$880$	−14.5403	+	7.00223i	−0.490153	+	0.236045i
$881$	8.44556	+	37.0024i	0.284538	+	1.24664i	0.891905	+	0.452222i	$0.149369\pi$
$881$	8.44556	+	37.0024i	0.284538	+	1.24664i	−0.607367	+	0.794421i	$0.707774\pi$
$882$	−0.429524	−	1.88187i	−0.0144628	−	0.0633658i
$883$	2.18551	−	1.05249i	0.0735482	−	0.0354190i	−0.396748	−	0.917928i	$-0.629861\pi$
$883$	2.18551	−	1.05249i	0.0735482	−	0.0354190i	0.470296	+	0.882509i	$0.344147\pi$
$884$	−7.89447	−	3.80177i	−0.265520	−	0.127868i
$885$	−23.9479	−	104.923i	−0.805001	−	3.52694i
$886$	7.96722	+	9.99057i	0.267664	+	0.335640i
$887$	3.66844	+	4.60008i	0.123174	+	0.154455i	0.839595	−	0.543213i	$-0.182792\pi$
$887$	3.66844	+	4.60008i	0.123174	+	0.154455i	−0.716421	+	0.697668i	$0.754221\pi$
$888$	−11.3515	−	5.46658i	−0.380930	−	0.183446i
$889$	6.75849	−	29.6109i	0.226673	−	0.993117i
$890$	−10.7554	+	13.4868i	−0.360522	+	0.452080i
$891$	−5.58787	+	24.4821i	−0.187201	+	0.820180i
$892$	14.1120	−	6.79599i	0.472506	−	0.227547i
$893$	1.80467	+	2.26298i	0.0603909	+	0.0757278i
$894$	18.7527	−	9.03085i	0.627186	−	0.302037i
$895$	36.8645	−	46.2267i	1.23225	−	1.54519i
$896$	27.2836			0.911480
$897$	114.374			3.81884
$898$	−4.72453	+	5.92438i	−0.157660	+	0.197699i
$899$	4.73692	+	2.28118i	0.157985	+	0.0760816i
$900$	4.71938	+	20.6769i	0.157313	+	0.689231i
$901$	2.94939	−	12.9221i	0.0982583	−	0.430498i
$902$	6.56386			0.218553
$903$	16.9856	−	31.8066i	0.565245	−	1.05846i
$904$	−6.65651			−0.221392
$905$	4.89871	−	21.4626i	0.162839	−	0.713442i
$906$	−3.07557	−	13.4749i	−0.102179	−	0.447675i
$907$	8.85944	+	4.26648i	0.294173	+	0.141666i	0.575149	−	0.818049i	$-0.304944\pi$
$907$	8.85944	+	4.26648i	0.294173	+	0.141666i	−0.280976	+	0.959715i	$0.590658\pi$
$908$	19.4598	−	24.4018i	0.645796	−	0.809803i
$909$	−31.6435			−1.04955
$910$	−23.3007			−0.772412
$911$	−34.7552	+	43.5817i	−1.15149	+	1.44393i	−0.275695	+	0.961245i	$0.588908\pi$
$911$	−34.7552	+	43.5817i	−1.15149	+	1.44393i	−0.875797	+	0.482680i	$0.839663\pi$
$912$	18.1839	−	8.75691i	0.602129	−	0.289970i
$913$	−4.42883	−	5.55358i	−0.146573	−	0.183797i
$914$	−3.41394	+	1.64407i	−0.112923	+	0.0543809i
$915$	−7.92669	+	34.7291i	−0.262048	+	1.14811i
$916$	−14.6823	+	18.4110i	−0.485116	+	0.608316i
$917$	11.1478	−	48.8416i	0.368132	−	1.61289i
$918$	−0.740569	−	0.356639i	−0.0244424	−	0.0117708i
$919$	14.3047	+	17.9376i	0.471869	+	0.591706i	0.959628	−	0.281273i	$-0.0907567\pi$
$919$	14.3047	+	17.9376i	0.471869	+	0.591706i	−0.487758	+	0.872979i	$0.662185\pi$
$920$	39.8580	+	49.9803i	1.31408	+	1.64780i
$921$	8.83313	+	38.7005i	0.291062	+	1.27522i
$922$	−11.8854	−	5.72372i	−0.391425	−	0.188501i
$923$	−61.0953	+	29.4219i	−2.01098	+	0.968435i
$924$	−4.88571	−	21.4057i	−0.160728	−	0.704196i
$925$	−3.02941	−	13.2727i	−0.0996064	−	0.436404i
$926$	18.5059	−	8.91197i	0.608142	−	0.292866i
$927$	2.87980	+	1.38684i	0.0945850	+	0.0455497i
$928$	−4.28168	−	18.7593i	−0.140553	−	0.615804i
$929$	−17.4865	−	21.9274i	−0.573713	−	0.719414i	0.407313	−	0.913289i	$-0.366466\pi$
$929$	−17.4865	−	21.9274i	−0.573713	−	0.719414i	−0.981026	+	0.193875i	$0.937894\pi$
$930$	4.03770	+	5.06311i	0.132401	+	0.166026i
$931$	−5.21016	−	2.50908i	−0.170756	−	0.0822318i
$932$	−6.81914	+	29.8766i	−0.223368	+	0.978640i
$933$	−44.8004	+	56.1779i	−1.46670	+	1.83918i
$934$	2.49781	−	10.9436i	0.0817309	−	0.358087i
$935$	−6.95574	+	3.34971i	−0.227477	+	0.109547i
$936$	−16.7045	−	20.9468i	−0.546003	−	0.684666i
$937$	−20.8692	+	10.0501i	−0.681768	+	0.328322i	−0.742513	−	0.669831i	$-0.766366\pi$
$937$	−20.8692	+	10.0501i	−0.681768	+	0.328322i	0.0607458	+	0.998153i	$0.480652\pi$
$938$	−11.7218	+	14.6987i	−0.382730	+	0.479928i
$939$	−78.5823			−2.56444
$940$	−3.72084			−0.121360
$941$	13.6130	−	17.0702i	0.443772	−	0.556473i	−0.508761	−	0.860908i	$-0.669896\pi$
$941$	13.6130	−	17.0702i	0.443772	−	0.556473i	0.952533	+	0.304435i	$0.0984676\pi$
$942$	−20.6458	−	9.94248i	−0.672676	−	0.323943i
$943$	9.79174	+	42.9004i	0.318863	+	1.39703i
$944$	6.70676	−	29.3842i	0.218286	−	0.956375i
$945$	10.7779			0.350606
$946$	4.30751	−	8.06610i	0.140049	−	0.262251i
$947$	2.60873			0.0847723			0.0423862	−	0.999101i	$-0.486504\pi$
$947$	2.60873			0.0847723			0.0423862	+	0.999101i	$0.486504\pi$
$948$	6.42567	−	28.1527i	0.208696	−	0.914357i
$949$	6.06278	+	26.5628i	0.196806	+	0.862264i
$950$	−11.6098	−	5.59100i	−0.376672	−	0.181396i
$951$	−16.2617	+	20.3916i	−0.527323	+	0.661243i
$952$	5.03762			0.163270
$953$	14.4861			0.469251			0.234625	−	0.972086i	$-0.424614\pi$
$953$	14.4861			0.469251			0.234625	+	0.972086i	$0.424614\pi$
$954$	11.4711	−	14.3843i	0.371391	−	0.465709i
$955$	58.2242	−	28.0393i	1.88409	−	0.907331i
$956$	−4.13436	−	5.18432i	−0.133715	−	0.167673i
$957$	−17.6765	+	8.51256i	−0.571400	+	0.275172i
$958$	−2.11603	+	9.27095i	−0.0683659	+	0.299531i
$959$	−7.40048	+	9.27991i	−0.238974	+	0.299664i
$960$	−1.67018	+	7.31755i	−0.0539049	+	0.236173i
$961$	25.9189	+	12.4819i	0.836094	+	0.402642i
$962$	4.86778	+	6.10400i	0.156943	+	0.196801i
$963$	−19.9776	−	25.0512i	−0.643770	−	0.807262i
$964$	0.807216	+	3.53664i	0.0259987	+	0.113908i
$965$	20.8807	+	10.0556i	0.672172	+	0.323701i
$966$	−26.8951	+	12.9520i	−0.865337	+	0.416724i
$967$	−2.64857	−	11.6041i	−0.0851723	−	0.373164i	0.914321	−	0.404990i	$-0.132725\pi$
$967$	−2.64857	−	11.6041i	−0.0851723	−	0.373164i	−0.999493	+	0.0318257i	$0.989868\pi$
$968$	2.47703	+	10.8526i	0.0796146	+	0.348815i
$969$	8.69876	−	4.18910i	0.279444	−	0.134573i
$970$	−13.6704	−	6.58332i	−0.438930	−	0.211378i
$971$	7.83221	+	34.3152i	0.251348	+	1.10123i	0.930229	+	0.366979i	$0.119608\pi$
$971$	7.83221	+	34.3152i	0.251348	+	1.10123i	−0.678882	+	0.734248i	$0.737535\pi$
$972$	20.7682	+	26.0424i	0.666139	+	0.835312i
$973$	5.27376	+	6.61308i	0.169069	+	0.212006i
$974$	−16.1079	−	7.75717i	−0.516131	−	0.248556i
$975$	14.5270	−	63.6471i	0.465237	−	2.03834i
$976$	−6.22007	+	7.79972i	−0.199099	+	0.249663i
$977$	−2.12886	+	9.32714i	−0.0681082	+	0.298402i	−0.997498	−	0.0706989i	$-0.977477\pi$
$977$	−2.12886	+	9.32714i	−0.0681082	+	0.298402i	0.929389	+	0.369101i	$0.120334\pi$
$978$	4.92215	−	2.37038i	0.157393	−	0.0757965i
$979$	13.8340	+	17.3473i	0.442138	+	0.554423i
$980$	6.69767	−	3.22543i	0.213949	−	0.103033i
$981$	23.8912	−	29.9586i	0.762787	−	0.956504i
$982$	−0.695472			−0.0221934
$983$	28.9918			0.924696			0.462348	−	0.886699i	$-0.347007\pi$
$983$	28.9918			0.924696			0.462348	+	0.886699i	$0.347007\pi$
$984$	14.4928	−	18.1734i	0.462013	−	0.579346i
$985$	39.9898	+	19.2581i	1.27418	+	0.613613i
$986$	−0.454726	−	1.99229i	−0.0144814	−	0.0634473i
$987$	0.851658	−	3.73136i	0.0271086	−	0.118770i
$988$	−36.4378			−1.15924
$989$	59.1446	+	16.1205i	1.88069	+	0.512603i
$990$	−10.7164			−0.340589
$991$	10.3760	−	45.4603i	0.329605	−	1.44409i	−0.490280	−	0.871565i	$-0.663105\pi$
$991$	10.3760	−	45.4603i	0.329605	−	1.44409i	0.819885	−	0.572529i	$-0.194037\pi$
$992$	1.81784	+	7.96447i	0.0577164	+	0.252872i
$993$	−19.3379	−	9.31266i	−0.613671	−	0.295528i
$994$	11.0348	−	13.8372i	0.350002	−	0.438889i
$995$	0.794096			0.0251745
$996$	−11.4195			−0.361841
$997$	−31.3941	+	39.3669i	−0.994260	+	1.24676i	−0.0252650	+	0.999681i	$0.508043\pi$
$997$	−31.3941	+	39.3669i	−0.994260	+	1.24676i	−0.968995	+	0.247081i	$0.920528\pi$
$998$	5.80602	−	2.79603i	0.183786	−	0.0885068i
$999$	−2.25163	−	2.82345i	−0.0712383	−	0.0893300i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.a.35.18	✓	180
43.16	even	7	inner	731.2.k.a.188.18	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.18	✓	180	1.1	even	1	trivial
731.2.k.a.188.18	yes	180	43.16	even	7	inner

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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.129219 - 0.566146i) q^{2} +(-0.516629 - 2.26350i) q^{3} +(1.49811 + 0.721454i) q^{4} +(-2.00450 + 2.51357i) q^{5} -1.34823 q^{6} +2.36842 q^{7} +(1.32616 - 1.66295i) q^{8} +(-2.15362 + 1.03713i) q^{9} +O(q^{10})\)	\(q+(0.129219 - 0.566146i) q^{2} +(-0.516629 - 2.26350i) q^{3} +(1.49811 + 0.721454i) q^{4} +(-2.00450 + 2.51357i) q^{5} -1.34823 q^{6} +2.36842 q^{7} +(1.32616 - 1.66295i) q^{8} +(-2.15362 + 1.03713i) q^{9} +(1.16403 + 1.45964i) q^{10} +(2.16354 - 1.04191i) q^{11} +(0.859041 - 3.76370i) q^{12} +(-3.28554 + 4.11994i) q^{13} +(0.306045 - 1.34087i) q^{14} +(6.72504 + 3.23861i) q^{15} +(1.30334 + 1.63434i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.308877 + 1.35328i) q^{18} +(3.74670 + 1.80432i) q^{19} +(-4.81640 + 2.31945i) q^{20} +(-1.22359 - 5.36091i) q^{21} +(-0.310301 - 1.35952i) q^{22} +(8.42270 - 4.05616i) q^{23} +(-4.44923 - 2.14264i) q^{24} +(-1.18738 - 5.20227i) q^{25} +(1.90793 + 2.39247i) q^{26} +(-0.882529 - 1.10666i) q^{27} +(3.54816 + 1.70870i) q^{28} +(0.783058 - 3.43080i) q^{29} +(2.70253 - 3.38887i) q^{30} +(-0.332456 + 1.45658i) q^{31} +(4.92641 - 2.37243i) q^{32} +(-3.47611 - 4.35890i) q^{33} +(0.523198 - 0.251959i) q^{34} +(-4.74750 + 5.95318i) q^{35} -3.97460 q^{36} +2.55133 q^{37} +(1.50565 - 1.88803i) q^{38} +(11.0229 + 5.30835i) q^{39} +(1.52165 + 6.66679i) q^{40} +(-1.04741 + 4.58902i) q^{41} -3.19317 q^{42} +(4.95192 + 4.29866i) q^{43} +3.99292 q^{44} +(1.71004 - 7.49219i) q^{45} +(-1.20800 - 5.29261i) q^{46} +(0.627102 + 0.301996i) q^{47} +(3.02599 - 3.79447i) q^{48} -1.39060 q^{49} -3.09868 q^{50} +(1.44756 - 1.81519i) q^{51} +(-7.89447 + 3.80177i) q^{52} +(-8.26400 - 10.3627i) q^{53} +(-0.740569 + 0.356639i) q^{54} +(-1.71792 + 7.52672i) q^{55} +(3.14090 - 3.93857i) q^{56} +(2.14842 - 9.41283i) q^{57} +(-1.84115 - 0.886650i) q^{58} +(-8.98962 - 11.2726i) q^{59} +(7.73837 + 9.70361i) q^{60} +(1.06196 + 4.65274i) q^{61} +(0.781680 + 0.376437i) q^{62} +(-5.10066 + 2.45635i) q^{63} +(0.223758 + 0.980349i) q^{64} +(-3.76987 - 16.5169i) q^{65} +(-2.91695 + 1.40473i) q^{66} +(-12.3157 - 5.93094i) q^{67} +(0.370004 + 1.62109i) q^{68} +(-13.5325 - 16.9692i) q^{69} +(2.75690 + 3.45704i) q^{70} +(11.5939 + 5.58333i) q^{71} +(-1.13135 + 4.95676i) q^{72} +(3.22368 - 4.04237i) q^{73} +(0.329681 - 1.44443i) q^{74} +(-11.1619 + 5.37528i) q^{75} +(4.31126 + 5.40615i) q^{76} +(5.12418 - 2.46767i) q^{77} +(4.42967 - 5.55463i) q^{78} +7.48005 q^{79} -6.72059 q^{80} +(-6.52002 + 8.17585i) q^{81} +(2.46271 + 1.18598i) q^{82} +(-0.658226 - 2.88388i) q^{83} +(2.03457 - 8.91402i) q^{84} -3.21497 q^{85} +(3.07355 - 2.24804i) q^{86} -8.17016 q^{87} +(1.13656 - 4.97961i) q^{88} +(2.05605 + 9.00817i) q^{89} +(-4.02070 - 1.93627i) q^{90} +(-7.78154 + 9.75774i) q^{91} +15.5445 q^{92} +3.46874 q^{93} +(0.252008 - 0.316008i) q^{94} +(-12.0456 + 5.80083i) q^{95} +(-7.91513 - 9.92526i) q^{96} +(-7.32230 + 3.52623i) q^{97} +(-0.179692 + 0.787282i) q^{98} +(-3.57885 + 4.48774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

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