LMFDB - Embedded newform 165.2.m.b.31.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(16,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 0, 4]))

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

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

chi := DirichletCharacter("165.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.m (of order $5$, degree $4$, 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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.819390625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 10x^{6} - 13x^{5} + 29x^{4} - 7x^{3} + 80x^{2} + 143x + 121 $ x^8 - 3x^7 + 10x^6 - 13x^5 + 29x^4 - 7x^3 + 80x^2 + 143*x + 121
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			31.2
Root			$2.06426 + 1.49977i$ of defining polynomial
Character	$\chi$	$=$	165.31
Dual form			165.2.m.b.16.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.788477 - 2.42668i) q^{2} +(0.809017 - 0.587785i) q^{3} +(-3.64906 - 2.65120i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(-0.788477 - 2.42668i) q^{6} +(3.39382 + 2.46575i) q^{7} +(-5.18229 + 3.76516i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})$	\(q+(0.788477 - 2.42668i) q^{2} +(0.809017 - 0.587785i) q^{3} +(-3.64906 - 2.65120i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(-0.788477 - 2.42668i) q^{6} +(3.39382 + 2.46575i) q^{7} +(-5.18229 + 3.76516i) q^{8} +(0.309017 - 0.951057i) q^{9} -2.55157 q^{10} +(-2.04372 + 2.61213i) q^{11} -4.51049 q^{12} +(-1.52455 + 4.69207i) q^{13} +(8.65954 - 6.29153i) q^{14} +(-0.809017 - 0.587785i) q^{15} +(2.26309 + 6.96507i) q^{16} +(-1.88597 - 5.80442i) q^{17} +(-2.06426 - 1.49977i) q^{18} +(2.03103 - 1.47563i) q^{19} +(-1.39382 + 4.28973i) q^{20} +4.19499 q^{21} +(4.72738 + 7.01906i) q^{22} +3.08744 q^{23} +(-1.97946 + 6.09215i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(10.1841 + 7.39917i) q^{26} +(-0.309017 - 0.951057i) q^{27} +(-5.84704 - 17.9954i) q^{28} +(2.91299 + 2.11641i) q^{29} +(-2.06426 + 1.49977i) q^{30} +(-0.616669 + 1.89791i) q^{31} +5.87507 q^{32} +(-0.118034 + 3.31452i) q^{33} -15.5725 q^{34} +(1.29632 - 3.98967i) q^{35} +(-3.64906 + 2.65120i) q^{36} +(-6.18229 - 4.49170i) q^{37} +(-1.97946 - 6.09215i) q^{38} +(1.52455 + 4.69207i) q^{39} +(5.18229 + 3.76516i) q^{40} +(2.39382 - 1.73921i) q^{41} +(3.30765 - 10.1799i) q^{42} -0.186978 q^{43} +(14.3829 - 4.11350i) q^{44} -1.00000 q^{45} +(2.43438 - 7.49224i) q^{46} +(-4.50137 + 3.27043i) q^{47} +(5.92484 + 4.30465i) q^{48} +(3.27494 + 10.0792i) q^{49} +(0.788477 + 2.42668i) q^{50} +(-4.93754 - 3.58733i) q^{51} +(18.0027 - 13.0798i) q^{52} +(-1.92084 + 5.91173i) q^{53} -2.55157 q^{54} +(3.11582 + 1.13650i) q^{55} -26.8717 q^{56} +(0.775783 - 2.38761i) q^{57} +(7.43269 - 5.40016i) q^{58} +(0.429260 + 0.311876i) q^{59} +(1.39382 + 4.28973i) q^{60} +(2.51833 + 7.75063i) q^{61} +(4.11940 + 2.99292i) q^{62} +(3.39382 - 2.46575i) q^{63} +(0.106183 - 0.326799i) q^{64} +4.93353 q^{65} +(7.95023 + 2.89986i) q^{66} -6.64174 q^{67} +(-8.50664 + 26.1808i) q^{68} +(2.49779 - 1.81475i) q^{69} +(-8.65954 - 6.29153i) q^{70} +(-3.40430 - 10.4774i) q^{71} +(1.97946 + 6.09215i) q^{72} +(-0.0361403 - 0.0262575i) q^{73} +(-15.7745 + 11.4609i) q^{74} +(-0.309017 + 0.951057i) q^{75} -11.3235 q^{76} +(-13.3769 + 3.82578i) q^{77} +12.5882 q^{78} +(3.87107 - 11.9139i) q^{79} +(5.92484 - 4.30465i) q^{80} +(-0.809017 - 0.587785i) q^{81} +(-2.33304 - 7.18036i) q^{82} +(-1.99863 - 6.15117i) q^{83} +(-15.3078 - 11.1217i) q^{84} +(-4.93754 + 3.58733i) q^{85} +(-0.147428 + 0.453736i) q^{86} +3.60066 q^{87} +(0.756086 - 21.2317i) q^{88} -0.535874 q^{89} +(-0.788477 + 2.42668i) q^{90} +(-16.7435 + 12.1649i) q^{91} +(-11.2662 - 8.18541i) q^{92} +(0.616669 + 1.89791i) q^{93} +(4.38708 + 13.5020i) q^{94} +(-2.03103 - 1.47563i) q^{95} +(4.75303 - 3.45328i) q^{96} +(-3.41836 + 10.5206i) q^{97} +27.0413 q^{98} +(1.85274 + 2.75088i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 2 q^{5} - 2 q^{6} + 9 q^{7} - 19 q^{8} - 2 q^{9}+O(q^{10}) $ 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 2 * q^5 - 2 * q^6 + 9 * q^7 - 19 * q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 2 q^{5} - 2 q^{6} + 9 q^{7} - 19 q^{8} - 2 q^{9} - 2 q^{10} - 3 q^{11} - 18 q^{12} + 10 q^{13} + 24 q^{14} - 2 q^{15} + 4 q^{16} - 2 q^{17} - 3 q^{18} - 2 q^{19} + 7 q^{20} + 16 q^{21} - 7 q^{22} - 2 q^{23} - 16 q^{24} - 2 q^{25} + 14 q^{26} + 2 q^{27} + 13 q^{28} + 14 q^{29} - 3 q^{30} - 5 q^{31} - 16 q^{32} + 8 q^{33} - 70 q^{34} + q^{35} - 2 q^{36} - 27 q^{37} - 16 q^{38} - 10 q^{39} + 19 q^{40} + q^{41} + 31 q^{42} - 28 q^{43} + 47 q^{44} - 8 q^{45} + 42 q^{46} - 27 q^{47} + 11 q^{48} - 15 q^{49} + 2 q^{50} - 8 q^{51} + 22 q^{52} - q^{53} - 2 q^{54} - 7 q^{55} - 24 q^{56} - 3 q^{57} + 18 q^{58} + 13 q^{59} - 7 q^{60} - 3 q^{61} + 15 q^{62} + 9 q^{63} + 19 q^{64} + 30 q^{65} + 37 q^{66} + 10 q^{67} - 33 q^{68} - 3 q^{69} - 24 q^{70} + 9 q^{71} + 16 q^{72} + 5 q^{73} - 17 q^{74} + 2 q^{75} - 46 q^{76} + q^{77} + 36 q^{78} - 10 q^{79} + 11 q^{80} - 2 q^{81} - 33 q^{82} - 25 q^{83} - 18 q^{84} - 8 q^{85} + 20 q^{86} - 34 q^{87} + 29 q^{88} + 4 q^{89} - 2 q^{90} - 43 q^{91} - 22 q^{92} + 5 q^{93} + 57 q^{94} + 2 q^{95} + 6 q^{96} + 13 q^{97} - 2 q^{98} - 3 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 2 * q^5 - 2 * q^6 + 9 * q^7 - 19 * q^8 - 2 * q^9 - 2 * q^10 - 3 * q^11 - 18 * q^12 + 10 * q^13 + 24 * q^14 - 2 * q^15 + 4 * q^16 - 2 * q^17 - 3 * q^18 - 2 * q^19 + 7 * q^20 + 16 * q^21 - 7 * q^22 - 2 * q^23 - 16 * q^24 - 2 * q^25 + 14 * q^26 + 2 * q^27 + 13 * q^28 + 14 * q^29 - 3 * q^30 - 5 * q^31 - 16 * q^32 + 8 * q^33 - 70 * q^34 + q^35 - 2 * q^36 - 27 * q^37 - 16 * q^38 - 10 * q^39 + 19 * q^40 + q^41 + 31 * q^42 - 28 * q^43 + 47 * q^44 - 8 * q^45 + 42 * q^46 - 27 * q^47 + 11 * q^48 - 15 * q^49 + 2 * q^50 - 8 * q^51 + 22 * q^52 - q^53 - 2 * q^54 - 7 * q^55 - 24 * q^56 - 3 * q^57 + 18 * q^58 + 13 * q^59 - 7 * q^60 - 3 * q^61 + 15 * q^62 + 9 * q^63 + 19 * q^64 + 30 * q^65 + 37 * q^66 + 10 * q^67 - 33 * q^68 - 3 * q^69 - 24 * q^70 + 9 * q^71 + 16 * q^72 + 5 * q^73 - 17 * q^74 + 2 * q^75 - 46 * q^76 + q^77 + 36 * q^78 - 10 * q^79 + 11 * q^80 - 2 * q^81 - 33 * q^82 - 25 * q^83 - 18 * q^84 - 8 * q^85 + 20 * q^86 - 34 * q^87 + 29 * q^88 + 4 * q^89 - 2 * q^90 - 43 * q^91 - 22 * q^92 + 5 * q^93 + 57 * q^94 + 2 * q^95 + 6 * q^96 + 13 * q^97 - 2 * q^98 - 3 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{3}{5}\right)$	$1$	$1$

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 $

$2$	0.788477	−	2.42668i	0.557537	−	1.71592i	−0.131609	−	0.991302i	$-0.542014\pi$
$2$	0.788477	−	2.42668i	0.557537	−	1.71592i	0.689146	−	0.724622i	$-0.257986\pi$
$3$	0.809017	−	0.587785i	0.467086	−	0.339358i
$3$	0.809017	−	0.587785i	0.467086	−	0.339358i
$4$	−3.64906	−	2.65120i	−1.82453	−	1.32560i
$5$	−0.309017	−	0.951057i	−0.138197	−	0.425325i
$5$	−0.309017	−	0.951057i	−0.138197	−	0.425325i
$6$	−0.788477	−	2.42668i	−0.321894	−	0.990689i
$7$	3.39382	+	2.46575i	1.28274	+	0.931967i	0.999632	−	0.0271208i	$-0.00863387\pi$
$7$	3.39382	+	2.46575i	1.28274	+	0.931967i	0.283110	+	0.959087i	$0.408634\pi$
$8$	−5.18229	+	3.76516i	−1.83222	+	1.33118i
$9$	0.309017	−	0.951057i	0.103006	−	0.317019i
$10$	−2.55157			−0.806876
$11$	−2.04372	+	2.61213i	−0.616205	+	0.787586i
$11$	−2.04372	+	2.61213i	−0.616205	+	0.787586i
$12$	−4.51049			−1.30206
$13$	−1.52455	+	4.69207i	−0.422833	+	1.30135i	0.482222	+	0.876049i	$0.339830\pi$
$13$	−1.52455	+	4.69207i	−0.422833	+	1.30135i	−0.905054	+	0.425296i	$0.860170\pi$
$14$	8.65954	−	6.29153i	2.31436	−	1.68148i
$15$	−0.809017	−	0.587785i	−0.208887	−	0.151765i
$16$	2.26309	+	6.96507i	0.565772	+	1.74127i
$17$	−1.88597	−	5.80442i	−0.457415	−	1.40778i	−0.868276	−	0.496081i	$-0.834772\pi$
$17$	−1.88597	−	5.80442i	−0.457415	−	1.40778i	0.410861	−	0.911698i	$-0.365228\pi$
$18$	−2.06426	−	1.49977i	−0.486551	−	0.353500i
$19$	2.03103	−	1.47563i	0.465949	−	0.338532i	−0.329911	−	0.944012i	$-0.607019\pi$
$19$	2.03103	−	1.47563i	0.465949	−	0.338532i	0.795860	+	0.605480i	$0.207019\pi$
$20$	−1.39382	+	4.28973i	−0.311667	+	0.959212i
$21$	4.19499			0.915421
$22$	4.72738	+	7.01906i	1.00788	+	1.49647i
$23$	3.08744			0.643776			0.321888	−	0.946778i	$-0.395683\pi$
$23$	3.08744			0.643776			0.321888	+	0.946778i	$0.395683\pi$
$24$	−1.97946	+	6.09215i	−0.404056	+	1.24356i
$25$	−0.809017	+	0.587785i	−0.161803	+	0.117557i
$26$	10.1841	+	7.39917i	1.99726	+	1.45110i
$27$	−0.309017	−	0.951057i	−0.0594703	−	0.183031i
$28$	−5.84704	−	17.9954i	−1.10499	−	3.40080i
$29$	2.91299	+	2.11641i	0.540929	+	0.393008i	0.824430	−	0.565964i	$-0.191496\pi$
$29$	2.91299	+	2.11641i	0.540929	+	0.393008i	−0.283501	+	0.958972i	$0.591496\pi$
$30$	−2.06426	+	1.49977i	−0.376881	+	0.273820i
$31$	−0.616669	+	1.89791i	−0.110757	+	0.340875i	−0.991038	−	0.133577i	$-0.957354\pi$
$31$	−0.616669	+	1.89791i	−0.110757	+	0.340875i	0.880281	+	0.474452i	$0.157354\pi$
$32$	5.87507			1.03858
$33$	−0.118034	+	3.31452i	−0.0205471	+	0.576985i
$34$	−15.5725			−2.67067
$35$	1.29632	−	3.98967i	0.219119	−	0.674377i
$36$	−3.64906	+	2.65120i	−0.608177	+	0.441866i
$37$	−6.18229	−	4.49170i	−1.01636	−	0.738431i	−0.0508287	−	0.998707i	$-0.516186\pi$
$37$	−6.18229	−	4.49170i	−1.01636	−	0.738431i	−0.965534	+	0.260277i	$0.916186\pi$
$38$	−1.97946	−	6.09215i	−0.321111	−	0.988277i
$39$	1.52455	+	4.69207i	0.244123	+	0.751332i
$40$	5.18229	+	3.76516i	0.819393	+	0.595324i
$41$	2.39382	−	1.73921i	0.373851	−	0.271619i	−0.384955	−	0.922935i	$-0.625783\pi$
$41$	2.39382	−	1.73921i	0.373851	−	0.271619i	0.758806	+	0.651317i	$0.225783\pi$
$42$	3.30765	−	10.1799i	0.510382	−	1.57079i
$43$	−0.186978			−0.0285139			−0.0142569	−	0.999898i	$-0.504538\pi$
$43$	−0.186978			−0.0285139			−0.0142569	+	0.999898i	$0.504538\pi$
$44$	14.3829	−	4.11350i	2.16831	−	0.620134i
$45$	−1.00000			−0.149071
$46$	2.43438	−	7.49224i	0.358929	−	1.10467i
$47$	−4.50137	+	3.27043i	−0.656592	+	0.477042i	−0.865510	−	0.500891i	$-0.833006\pi$
$47$	−4.50137	+	3.27043i	−0.656592	+	0.477042i	0.208919	+	0.977933i	$0.433006\pi$
$48$	5.92484	+	4.30465i	0.855177	+	0.621323i
$49$	3.27494	+	10.0792i	0.467848	+	1.43989i
$50$	0.788477	+	2.42668i	0.111507	+	0.343185i
$51$	−4.93754	−	3.58733i	−0.691393	−	0.502327i
$52$	18.0027	−	13.0798i	2.49653	−	1.81384i
$53$	−1.92084	+	5.91173i	−0.263847	+	0.812038i	0.728109	+	0.685461i	$0.240399\pi$
$53$	−1.92084	+	5.91173i	−0.263847	+	0.812038i	−0.991957	+	0.126577i	$0.959601\pi$
$54$	−2.55157			−0.347224
$55$	3.11582	+	1.13650i	0.420138	+	0.153246i
$56$	−26.8717			−3.59088
$57$	0.775783	−	2.38761i	0.102755	−	0.316247i
$58$	7.43269	−	5.40016i	0.975960	−	0.709076i
$59$	0.429260	+	0.311876i	0.0558849	+	0.0406028i	0.615377	−	0.788233i	$-0.289004\pi$
$59$	0.429260	+	0.311876i	0.0558849	+	0.0406028i	−0.559492	+	0.828836i	$0.689004\pi$
$60$	1.39382	+	4.28973i	0.179941	+	0.553801i
$61$	2.51833	+	7.75063i	0.322439	+	0.992366i	0.972583	+	0.232555i	$0.0747085\pi$
$61$	2.51833	+	7.75063i	0.322439	+	0.992366i	−0.650144	+	0.759811i	$0.725291\pi$
$62$	4.11940	+	2.99292i	0.523164	+	0.380101i
$63$	3.39382	−	2.46575i	0.427581	−	0.310656i
$64$	0.106183	−	0.326799i	0.0132729	−	0.0408499i
$65$	4.93353			0.611929
$66$	7.95023	+	2.89986i	0.978606	+	0.356948i
$67$	−6.64174			−0.811417			−0.405709	−	0.914003i	$-0.632975\pi$
$67$	−6.64174			−0.811417			−0.405709	+	0.914003i	$0.632975\pi$
$68$	−8.50664	+	26.1808i	−1.03158	+	3.17488i
$69$	2.49779	−	1.81475i	0.300699	−	0.218470i
$70$	−8.65954	−	6.29153i	−1.03501	−	0.751981i
$71$	−3.40430	−	10.4774i	−0.404016	−	1.24343i	−0.921714	−	0.387871i	$-0.873211\pi$
$71$	−3.40430	−	10.4774i	−0.404016	−	1.24343i	0.517698	−	0.855564i	$-0.326789\pi$
$72$	1.97946	+	6.09215i	0.233282	+	0.717967i
$73$	−0.0361403	−	0.0262575i	−0.00422991	−	0.00307321i	0.585668	−	0.810551i	$-0.300832\pi$
$73$	−0.0361403	−	0.0262575i	−0.00422991	−	0.00307321i	−0.589898	+	0.807478i	$0.700832\pi$
$74$	−15.7745	+	11.4609i	−1.83375	+	1.33230i
$75$	−0.309017	+	0.951057i	−0.0356822	+	0.109819i
$76$	−11.3235			−1.29890
$77$	−13.3769	+	3.82578i	−1.52444	+	0.435988i
$78$	12.5882			1.42534
$79$	3.87107	−	11.9139i	0.435529	−	1.34042i	−0.457014	−	0.889459i	$-0.651081\pi$
$79$	3.87107	−	11.9139i	0.435529	−	1.34042i	0.892543	−	0.450961i	$-0.148919\pi$
$80$	5.92484	−	4.30465i	0.662417	−	0.481274i
$81$	−0.809017	−	0.587785i	−0.0898908	−	0.0653095i
$82$	−2.33304	−	7.18036i	−0.257641	−	0.792938i
$83$	−1.99863	−	6.15117i	−0.219379	−	0.675178i	−0.998814	−	0.0486950i	$-0.984494\pi$
$83$	−1.99863	−	6.15117i	−0.219379	−	0.675178i	0.779435	−	0.626483i	$-0.215506\pi$
$84$	−15.3078	−	11.1217i	−1.67021	−	1.21348i
$85$	−4.93754	+	3.58733i	−0.535551	+	0.389101i
$86$	−0.147428	+	0.453736i	−0.0158976	+	0.0489276i
$87$	3.60066			0.386031
$88$	0.756086	−	21.2317i	0.0805991	−	2.26331i
$89$	−0.535874			−0.0568025			−0.0284013	−	0.999597i	$-0.509042\pi$
$89$	−0.535874			−0.0568025			−0.0284013	+	0.999597i	$0.509042\pi$
$90$	−0.788477	+	2.42668i	−0.0831128	+	0.255795i
$91$	−16.7435	+	12.1649i	−1.75520	+	1.27522i
$92$	−11.2662	−	8.18541i	−1.17459	−	0.853388i
$93$	0.616669	+	1.89791i	0.0639456	+	0.196804i
$94$	4.38708	+	13.5020i	0.452493	+	1.39263i
$95$	−2.03103	−	1.47563i	−0.208379	−	0.151396i
$96$	4.75303	−	3.45328i	0.485104	−	0.352449i
$97$	−3.41836	+	10.5206i	−0.347082	+	1.06821i	0.613378	+	0.789790i	$0.289810\pi$
$97$	−3.41836	+	10.5206i	−0.347082	+	1.06821i	−0.960460	+	0.278419i	$0.910190\pi$
$98$	27.0413			2.73158
$99$	1.85274	+	2.75088i	0.186207	+	0.276474i
$100$	4.51049			0.451049
$101$	−1.87712	+	5.77717i	−0.186780	+	0.574850i	−0.999974	−	0.00714205i	$-0.997727\pi$
$101$	−1.87712	+	5.77717i	−0.186780	+	0.574850i	0.813194	+	0.581992i	$0.197727\pi$
$102$	−12.5984	+	9.15331i	−1.24743	+	0.906312i
$103$	6.44111	+	4.67974i	0.634661	+	0.461109i	0.858012	−	0.513630i	$-0.171699\pi$
$103$	6.44111	+	4.67974i	0.634661	+	0.461109i	−0.223351	+	0.974738i	$0.571699\pi$
$104$	−9.76573	−	30.0558i	−0.957608	−	2.94722i
$105$	−1.29632	−	3.98967i	−0.126508	−	0.389352i
$106$	12.8314	+	9.32252i	1.24629	+	0.905484i
$107$	0.0354434	−	0.0257511i	0.00342644	−	0.00248946i	−0.586071	−	0.810260i	$-0.699326\pi$
$107$	0.0354434	−	0.0257511i	0.00342644	−	0.00248946i	0.589497	+	0.807770i	$0.299326\pi$
$108$	−1.39382	+	4.28973i	−0.134120	+	0.412779i
$109$	10.9879			1.05245			0.526225	−	0.850345i	$-0.323607\pi$
$109$	10.9879			1.05245			0.526225	+	0.850345i	$0.323607\pi$
$110$	5.21468	−	6.66501i	0.497201	−	0.635484i
$111$	−7.64174			−0.725321
$112$	−9.49363	+	29.2184i	−0.897064	+	2.76088i
$113$	−11.5971	+	8.42577i	−1.09096	+	0.792630i	−0.979561	−	0.201146i	$-0.935534\pi$
$113$	−11.5971	+	8.42577i	−1.09096	+	0.792630i	−0.111400	+	0.993776i	$0.535534\pi$
$114$	−5.18229	−	3.76516i	−0.485366	−	0.352639i
$115$	−0.954071	−	2.93633i	−0.0889676	−	0.273814i
$116$	−5.01865	−	15.4458i	−0.465970	−	1.43411i
$117$	3.99131	+	2.89986i	0.368997	+	0.268092i
$118$	1.09528	−	0.795771i	0.100829	−	0.0732567i
$119$	7.91163	−	24.3495i	0.725258	−	2.23211i
$120$	6.40567			0.584755
$121$	−2.64642	−	10.6769i	−0.240584	−	0.970628i
$122$	20.7940			1.88260
$123$	0.914357	−	2.81410i	0.0824448	−	0.253739i
$124$	7.28200	−	5.29068i	0.653943	−	0.475117i
$125$	0.809017	+	0.587785i	0.0723607	+	0.0525731i
$126$	−3.30765	−	10.1799i	−0.294669	−	0.906898i
$127$	−4.39219	−	13.5178i	−0.389743	−	1.19951i	−0.932980	−	0.359927i	$-0.882801\pi$
$127$	−4.39219	−	13.5178i	−0.389743	−	1.19951i	0.543237	−	0.839579i	$-0.317199\pi$
$128$	8.79675	+	6.39122i	0.777530	+	0.564909i
$129$	−0.151268	+	0.109903i	−0.0133184	+	0.00967641i
$130$	3.88998	−	11.9721i	0.341173	−	1.05002i
$131$	14.6699			1.28171			0.640856	−	0.767661i	$-0.278580\pi$
$131$	14.6699			1.28171			0.640856	+	0.767661i	$0.278580\pi$
$132$	9.21817	−	11.7820i	0.802339	−	1.02549i
$133$	10.5315			0.913193
$134$	−5.23686	+	16.1174i	−0.452395	+	1.39233i
$135$	−0.809017	+	0.587785i	−0.0696291	+	0.0505885i
$136$	31.6282	+	22.9792i	2.71210	+	1.97045i
$137$	−2.66075	−	8.18893i	−0.227323	−	0.699628i	−0.998048	−	0.0624594i	$-0.980106\pi$
$137$	−2.66075	−	8.18893i	−0.227323	−	0.699628i	0.770725	−	0.637168i	$-0.219894\pi$
$138$	−2.43438	−	7.49224i	−0.207228	−	0.637781i
$139$	3.01833	+	2.19295i	0.256011	+	0.186003i	0.708387	−	0.705824i	$-0.249423\pi$
$139$	3.01833	+	2.19295i	0.256011	+	0.186003i	−0.452375	+	0.891828i	$0.649423\pi$
$140$	−15.3078	+	11.1217i	−1.29374	+	0.939958i
$141$	−1.71937	+	5.29167i	−0.144797	+	0.445639i
$142$	−28.1095			−2.35889
$143$	−9.14053	−	13.5716i	−0.764370	−	1.13491i
$144$	7.32351			0.610292
$145$	1.11266	−	3.42443i	0.0924017	−	0.284383i
$146$	−0.0922145	+	0.0669977i	−0.00763172	+	0.00554477i
$147$	8.57390	+	6.22930i	0.707163	+	0.513784i
$148$	10.6512	+	32.7810i	0.875521	+	2.69458i
$149$	3.07859	+	9.47491i	0.252208	+	0.776215i	0.994367	+	0.105992i	$0.0338017\pi$
$149$	3.07859	+	9.47491i	0.252208	+	0.776215i	−0.742159	+	0.670223i	$0.766198\pi$
$150$	2.06426	+	1.49977i	0.168546	+	0.122456i
$151$	12.0721	−	8.77091i	0.982415	−	0.713767i	0.0241683	−	0.999708i	$-0.492306\pi$
$151$	12.0721	−	8.77091i	0.982415	−	0.713767i	0.958247	+	0.285941i	$0.0923062\pi$
$152$	−4.96941	+	15.2943i	−0.403072	+	1.24053i
$153$	−6.10313			−0.493409
$154$	−1.26341	+	35.4780i	−0.101809	+	2.85889i
$155$	1.99558			0.160289
$156$	6.87644	−	21.1635i	0.550556	−	1.69444i
$157$	9.04866	−	6.57424i	0.722162	−	0.524681i	−0.164912	−	0.986308i	$-0.552734\pi$
$157$	9.04866	−	6.57424i	0.722162	−	0.524681i	0.887074	+	0.461627i	$0.152734\pi$
$158$	−25.8591	−	18.7877i	−2.05724	−	1.49467i
$159$	1.92084	+	5.91173i	0.152332	+	0.468831i
$160$	−1.81550	−	5.58753i	−0.143528	−	0.441733i
$161$	10.4782	+	7.61286i	0.825798	+	0.599977i
$162$	−2.06426	+	1.49977i	−0.162184	+	0.117833i
$163$	0.265462	−	0.817007i	0.0207926	−	0.0639930i	−0.940122	−	0.340839i	$-0.889289\pi$
$163$	0.265462	−	0.817007i	0.0207926	−	0.0639930i	0.960914	+	0.276846i	$0.0892891\pi$
$164$	−13.3462			−1.04216
$165$	3.18877	−	0.911987i	0.248246	−	0.0709981i
$166$	−16.5028			−1.28087
$167$	5.83399	−	17.9552i	0.451448	−	1.38941i	−0.423807	−	0.905752i	$-0.639307\pi$
$167$	5.83399	−	17.9552i	0.451448	−	1.38941i	0.875255	−	0.483661i	$-0.160693\pi$
$168$	−21.7397	+	15.7948i	−1.67725	+	1.21859i
$169$	−9.17404	−	6.66533i	−0.705695	−	0.512717i
$170$	4.81218	+	14.8104i	0.369077	+	1.13590i
$171$	−0.775783	−	2.38761i	−0.0593256	−	0.182585i
$172$	0.682294	+	0.495715i	0.0520244	+	0.0377979i
$173$	−7.95229	+	5.77768i	−0.604602	+	0.439269i	−0.847509	−	0.530781i	$-0.821899\pi$
$173$	−7.95229	+	5.77768i	−0.604602	+	0.439269i	0.242908	+	0.970049i	$0.421899\pi$
$174$	2.83903	−	8.73765i	0.215227	−	0.662399i
$175$	−4.19499			−0.317111
$176$	−22.8188	−	8.32317i	−1.72003	−	0.627383i
$177$	0.530595			0.0398819
$178$	−0.422524	+	1.30040i	−0.0316695	+	0.0974688i
$179$	−14.8057	+	10.7570i	−1.10663	+	0.804014i	−0.982130	−	0.188206i	$-0.939733\pi$
$179$	−14.8057	+	10.7570i	−1.10663	+	0.804014i	−0.124500	+	0.992220i	$0.539733\pi$
$180$	3.64906	+	2.65120i	0.271985	+	0.197609i
$181$	−3.04203	−	9.36241i	−0.226112	−	0.695903i	−0.998177	−	0.0603582i	$-0.980776\pi$
$181$	−3.04203	−	9.36241i	−0.226112	−	0.695903i	0.772064	−	0.635544i	$-0.219224\pi$
$182$	16.3184	+	50.2229i	1.20960	+	3.72277i
$183$	6.59308	+	4.79015i	0.487374	+	0.354098i
$184$	−16.0000	+	11.6247i	−1.17954	+	0.856984i
$185$	−2.36143	+	7.26772i	−0.173615	+	0.534334i
$186$	5.09186			0.373353
$187$	19.0163	+	6.93622i	1.39061	+	0.507226i
$188$	25.0963			1.83034
$189$	1.29632	−	3.98967i	0.0942936	−	0.290206i
$190$	−5.18229	+	3.76516i	−0.375963	+	0.273153i
$191$	−6.86749	−	4.98953i	−0.496914	−	0.361029i	0.310923	−	0.950435i	$-0.399362\pi$
$191$	−6.86749	−	4.98953i	−0.496914	−	0.361029i	−0.807837	+	0.589406i	$0.799362\pi$
$192$	−0.106183	−	0.326799i	−0.00766312	−	0.0235847i
$193$	−8.42784	−	25.9382i	−0.606649	−	1.86707i	−0.485031	−	0.874497i	$-0.661192\pi$
$193$	−8.42784	−	25.9382i	−0.606649	−	1.86707i	−0.121618	−	0.992577i	$-0.538808\pi$
$194$	22.8349	+	16.5906i	1.63945	+	1.19113i
$195$	3.99131	−	2.89986i	0.285824	−	0.207663i
$196$	14.7716	−	45.4622i	1.05511	−	3.24730i
$197$	−21.5632			−1.53631			−0.768156	−	0.640263i	$-0.778825\pi$
$197$	−21.5632			−1.53631			−0.768156	+	0.640263i	$0.778825\pi$
$198$	8.13636	−	2.32699i	0.578226	−	0.165372i
$199$	23.2920			1.65113			0.825564	−	0.564309i	$-0.190857\pi$
$199$	23.2920			1.65113			0.825564	+	0.564309i	$0.190857\pi$
$200$	1.97946	−	6.09215i	0.139969	−	0.430780i
$201$	−5.37328	+	3.90391i	−0.379002	+	0.275361i
$202$	12.5393	+	9.11034i	0.882262	+	0.641001i
$203$	4.66761	+	14.3654i	0.327602	+	1.00826i
$204$	8.50664	+	26.1808i	0.595584	+	1.83302i
$205$	−2.39382	−	1.73921i	−0.167191	−	0.121472i
$206$	16.4349	−	11.9407i	1.14507	−	0.831945i
$207$	0.954071	−	2.93633i	0.0663125	−	0.204089i
$208$	−36.1308			−2.50522
$209$	−0.296323	+	8.32106i	−0.0204971	+	0.575580i
$210$	−10.7038			−0.738631
$211$	2.00621	−	6.17449i	0.138113	−	0.425070i	−0.857948	−	0.513737i	$-0.828261\pi$
$211$	2.00621	−	6.17449i	0.138113	−	0.425070i	0.996061	+	0.0886673i	$0.0282608\pi$
$212$	22.6824	−	16.4797i	1.55783	−	1.13183i
$213$	−8.91258	−	6.47537i	−0.610680	−	0.443685i
$214$	−0.0345435	−	0.106314i	−0.00236135	−	0.00726748i
$215$	0.0577794	+	0.177827i	0.00394052	+	0.0121277i
$216$	5.18229	+	3.76516i	0.352610	+	0.256186i
$217$	−6.77264	+	4.92061i	−0.459757	+	0.334033i
$218$	8.66371	−	26.6641i	0.586780	−	1.80592i
$219$	−0.0446719			−0.00301865
$220$	−8.35674	−	12.4078i	−0.563411	−	0.836535i
$221$	30.1100			2.02542
$222$	−6.02533	+	18.5441i	−0.404394	+	1.24460i
$223$	−4.99352	+	3.62800i	−0.334391	+	0.242949i	−0.742291	−	0.670077i	$-0.766261\pi$
$223$	−4.99352	+	3.62800i	−0.334391	+	0.242949i	0.407901	+	0.913026i	$0.366261\pi$
$224$	19.9389	+	14.4865i	1.33223	+	0.967918i
$225$	0.309017	+	0.951057i	0.0206011	+	0.0634038i
$226$	11.3026	+	34.7860i	0.751841	+	2.31393i
$227$	−12.8095	−	9.30667i	−0.850199	−	0.617706i	0.0750020	−	0.997183i	$-0.476104\pi$
$227$	−12.8095	−	9.30667i	−0.850199	−	0.617706i	−0.925201	+	0.379478i	$0.876104\pi$
$228$	−9.16091	+	6.65579i	−0.606696	+	0.440791i
$229$	5.74108	−	17.6692i	0.379381	−	1.16762i	−0.561094	−	0.827752i	$-0.689619\pi$
$229$	5.74108	−	17.6692i	0.379381	−	1.16762i	0.940475	−	0.339863i	$-0.110381\pi$
$230$	−7.87780			−0.519447
$231$	−8.57338	+	10.9578i	−0.564087	+	0.720973i
$232$	−23.0646			−1.51427
$233$	0.971450	−	2.98982i	0.0636418	−	0.195869i	−0.914180	−	0.405309i	$-0.867164\pi$
$233$	0.971450	−	2.98982i	0.0636418	−	0.195869i	0.977822	+	0.209440i	$0.0671640\pi$
$234$	10.1841	−	7.39917i	0.665755	−	0.483699i
$235$	4.50137	+	3.27043i	0.293637	+	0.213340i
$236$	−0.739552	−	2.27611i	−0.0481407	−	0.148162i
$237$	−3.87107	−	11.9139i	−0.251453	−	0.773892i
$238$	−52.8503	−	38.3980i	−3.42578	−	2.48897i
$239$	0.904302	−	0.657014i	0.0584944	−	0.0424987i	−0.558154	−	0.829738i	$-0.688490\pi$
$239$	0.904302	−	0.657014i	0.0584944	−	0.0424987i	0.616648	+	0.787239i	$0.288490\pi$
$240$	2.26309	−	6.96507i	0.146082	−	0.449593i
$241$	−14.4423			−0.930312			−0.465156	−	0.885229i	$-0.654002\pi$
$241$	−14.4423			−0.930312			−0.465156	+	0.885229i	$0.654002\pi$
$242$	−27.9961	−	1.99648i	−1.79966	−	0.128339i
$243$	−1.00000			−0.0641500
$244$	11.3589	−	34.9591i	0.727179	−	2.23803i
$245$	8.57390	−	6.22930i	0.547766	−	0.397976i
$246$	−6.10798	−	4.43771i	−0.389431	−	0.282938i
$247$	3.82735	+	11.7794i	0.243528	+	0.749503i
$248$	−3.95017	−	12.1574i	−0.250836	−	0.771995i
$249$	−5.23249	−	3.80163i	−0.331596	−	0.240918i
$250$	2.06426	−	1.49977i	0.130555	−	0.0948539i
$251$	−0.0903277	+	0.278000i	−0.00570143	+	0.0175472i	−0.953867	−	0.300230i	$-0.902936\pi$
$251$	−0.0903277	+	0.278000i	−0.00570143	+	0.0175472i	0.948165	+	0.317777i	$0.102936\pi$
$252$	−18.9214			−1.19194
$253$	−6.30986	+	8.06479i	−0.396698	+	0.507029i
$254$	−36.2664			−2.27556
$255$	−1.88597	+	5.80442i	−0.118104	+	0.363487i
$256$	23.0015	−	16.7115i	1.43759	−	1.04447i
$257$	20.3247	+	14.7668i	1.26782	+	0.921126i	0.999114	−	0.0420954i	$-0.0134033\pi$
$257$	20.3247	+	14.7668i	1.26782	+	0.921126i	0.268708	+	0.963222i	$0.413403\pi$
$258$	0.147428	+	0.453736i	0.00917846	+	0.0282484i
$259$	−9.90615	−	30.4880i	−0.615538	−	1.89443i
$260$	−18.0027	−	13.0798i	−1.11648	−	0.811172i
$261$	2.91299	−	2.11641i	0.180310	−	0.131003i
$262$	11.5668	−	35.5991i	0.714602	−	2.19932i
$263$	−13.8290			−0.852735			−0.426368	−	0.904550i	$-0.640207\pi$
$263$	−13.8290			−0.852735			−0.426368	+	0.904550i	$0.640207\pi$
$264$	−11.8680	−	17.6213i	−0.730426	−	1.08451i
$265$	6.21596			0.381843
$266$	8.30381	−	25.5565i	0.509139	−	1.56697i
$267$	−0.433531	+	0.314979i	−0.0265317	+	0.0192764i
$268$	24.2361	+	17.6085i	1.48045	+	1.07561i
$269$	−2.64394	−	8.13722i	−0.161204	−	0.496135i	0.837532	−	0.546388i	$-0.183997\pi$
$269$	−2.64394	−	8.13722i	−0.161204	−	0.496135i	−0.998737	+	0.0502523i	$0.983997\pi$
$270$	0.788477	+	2.42668i	0.0479852	+	0.147683i
$271$	7.40387	+	5.37923i	0.449753	+	0.326765i	0.789498	−	0.613753i	$-0.210341\pi$
$271$	7.40387	+	5.37923i	0.449753	+	0.326765i	−0.339745	+	0.940518i	$0.610341\pi$
$272$	36.1601	−	26.2718i	2.19253	−	1.59296i
$273$	−6.39545	+	19.6832i	−0.387070	+	1.19128i
$274$	−21.9699			−1.32725
$275$	0.118034	−	3.31452i	0.00711772	−	0.199873i
$276$	−13.9259			−0.838238
$277$	−5.91921	+	18.2174i	−0.355651	+	1.09458i	0.599981	+	0.800014i	$0.295175\pi$
$277$	−5.91921	+	18.2174i	−0.355651	+	1.09458i	−0.955631	+	0.294565i	$0.904825\pi$
$278$	7.70147	−	5.59544i	0.461903	−	0.335592i
$279$	1.61446	+	1.17297i	0.0966552	+	0.0702241i
$280$	8.30381	+	25.5565i	0.496248	+	1.52729i
$281$	5.10961	+	15.7258i	0.304814	+	0.938121i	0.979747	+	0.200241i	$0.0641726\pi$
$281$	5.10961	+	15.7258i	0.304814	+	0.938121i	−0.674933	+	0.737879i	$0.735827\pi$
$282$	11.4855	+	8.34472i	0.683953	+	0.496921i
$283$	−16.3085	+	11.8488i	−0.969437	+	0.704337i	−0.955323	−	0.295563i	$-0.904493\pi$
$283$	−16.3085	+	11.8488i	−0.969437	+	0.704337i	−0.0141139	+	0.999900i	$0.504493\pi$
$284$	−15.3551	+	47.2580i	−0.911155	+	2.80425i
$285$	−2.51049			−0.148708
$286$	−40.1410	+	11.4803i	−2.37359	+	0.678844i
$287$	12.4126			0.732695
$288$	1.81550	−	5.58753i	0.106979	−	0.329248i
$289$	−16.3811	+	11.9016i	−0.963596	+	0.700094i
$290$	−7.43269	−	5.40016i	−0.436462	−	0.317109i
$291$	3.41836	+	10.5206i	0.200388	+	0.616731i
$292$	0.0622645	+	0.191630i	0.00364375	+	0.0112143i
$293$	26.6268	+	19.3455i	1.55556	+	1.13018i	0.939537	+	0.342448i	$0.111256\pi$
$293$	26.6268	+	19.3455i	1.55556	+	1.13018i	0.616020	+	0.787730i	$0.288744\pi$
$294$	21.8769	−	15.8945i	1.27588	−	0.926985i
$295$	0.163963	−	0.504625i	0.00954628	−	0.0293804i
$296$	48.9504			2.84518
$297$	3.11582	+	1.13650i	0.180799	+	0.0659465i
$298$	25.4200			1.47254
$299$	−4.70694	+	14.4865i	−0.272209	+	0.837774i
$300$	3.64906	−	2.65120i	0.210679	−	0.153067i
$301$	−0.634569	−	0.461041i	−0.0365759	−	0.0265740i
$302$	−11.7656	−	36.2109i	−0.677036	−	2.08370i
$303$	1.87712	+	5.77717i	0.107838	+	0.331890i
$304$	14.8742	+	10.8068i	0.853096	+	0.619810i
$305$	6.59308	−	4.79015i	0.377518	−	0.274283i
$306$	−4.81218	+	14.8104i	−0.275094	+	0.846652i
$307$	25.6235			1.46241			0.731206	−	0.682157i	$-0.238958\pi$
$307$	25.6235			1.46241			0.731206	+	0.682157i	$0.238958\pi$
$308$	58.9559	+	21.5042i	3.35932	+	1.22532i
$309$	7.96165			0.452922
$310$	1.57347	−	4.84264i	0.0893671	−	0.275044i
$311$	0.202834	−	0.147367i	0.0115016	−	0.00835643i	−0.582020	−	0.813175i	$-0.697737\pi$
$311$	0.202834	−	0.147367i	0.0115016	−	0.00835643i	0.593521	+	0.804818i	$0.297737\pi$
$312$	−25.5670	−	18.5755i	−1.44745	−	1.05163i
$313$	−3.90615	−	12.0219i	−0.220789	−	0.679518i	−0.998692	−	0.0511338i	$-0.983716\pi$
$313$	−3.90615	−	12.0219i	−0.220789	−	0.679518i	0.777903	−	0.628384i	$-0.216284\pi$
$314$	−8.81892	−	27.1419i	−0.497681	−	1.53170i
$315$	−3.39382	−	2.46575i	−0.191220	−	0.138929i
$316$	−45.7119	+	33.2116i	−2.57150	+	1.86830i
$317$	−7.94323	+	24.4467i	−0.446136	+	1.37307i	0.435097	+	0.900384i	$0.356714\pi$
$317$	−7.94323	+	24.4467i	−0.446136	+	1.37307i	−0.881233	+	0.472682i	$0.843286\pi$
$318$	15.8604			0.889408
$319$	−11.4817	+	3.28375i	−0.642850	+	0.183855i
$320$	−0.343617			−0.0192088
$321$	0.0135382	−	0.0416662i	0.000755627	−	0.00232558i
$322$	26.7358	−	19.4247i	1.48993	−	1.08250i
$323$	−12.3956	−	9.00594i	−0.689710	−	0.501104i
$324$	1.39382	+	4.28973i	0.0774343	+	0.238318i
$325$	−1.52455	−	4.69207i	−0.0845665	−	0.260269i
$326$	−1.77331	−	1.28838i	−0.0982144	−	0.0713569i
$327$	8.88940	−	6.45853i	0.491585	−	0.357157i
$328$	−5.85706	+	18.0262i	−0.323402	+	0.995330i
$329$	−23.3409			−1.28682
$330$	0.301171	−	8.45722i	0.0165789	−	0.465555i
$331$	−30.2843			−1.66458			−0.832289	−	0.554342i	$-0.812970\pi$
$331$	−30.2843			−1.66458			−0.832289	+	0.554342i	$0.812970\pi$
$332$	−9.01481	+	27.7447i	−0.494752	+	1.52269i
$333$	−6.18229	+	4.49170i	−0.338788	+	0.246144i
$334$	−38.9716	−	28.3145i	−2.13243	−	1.54930i
$335$	2.05241	+	6.31667i	0.112135	+	0.345116i
$336$	9.49363	+	29.2184i	0.517920	+	1.59399i
$337$	14.5906	+	10.6007i	0.794801	+	0.577456i	0.909384	−	0.415957i	$-0.136553\pi$
$337$	14.5906	+	10.6007i	0.794801	+	0.577456i	−0.114584	+	0.993414i	$0.536553\pi$
$338$	−23.4081	+	17.0070i	−1.27324	+	0.925060i
$339$	−4.42969	+	13.6332i	−0.240588	+	0.740453i
$340$	27.5281			1.49292
$341$	−3.69729	−	5.48962i	−0.200219	−	0.297279i
$342$	−6.40567			−0.346379
$343$	−4.66407	+	14.3545i	−0.251836	+	0.775072i
$344$	0.968975	−	0.704001i	0.0522436	−	0.0379572i
$345$	−2.49779	−	1.81475i	−0.134477	−	0.0977029i
$346$	7.75039	+	23.8533i	0.416664	+	1.28236i
$347$	2.26462	+	6.96978i	0.121571	+	0.374157i	0.993261	−	0.115901i	$-0.0369755\pi$
$347$	2.26462	+	6.96978i	0.121571	+	0.374157i	−0.871690	+	0.490058i	$0.836976\pi$
$348$	−13.1390	−	9.54605i	−0.704325	−	0.511722i
$349$	17.8287	−	12.9533i	0.954350	−	0.693376i	0.00251837	−	0.999997i	$-0.499198\pi$
$349$	17.8287	−	12.9533i	0.954350	−	0.693376i	0.951832	+	0.306621i	$0.0991984\pi$
$350$	−3.30765	+	10.1799i	−0.176801	+	0.544139i
$351$	4.93353			0.263332
$352$	−12.0070	+	15.3464i	−0.639975	+	0.817968i
$353$	10.7984			0.574739			0.287370	−	0.957820i	$-0.407219\pi$
$353$	10.7984			0.574739			0.287370	+	0.957820i	$0.407219\pi$
$354$	0.418362	−	1.28758i	0.0222357	−	0.0684344i
$355$	−8.91258	+	6.47537i	−0.473031	+	0.343677i
$356$	1.95544	+	1.42071i	0.103638	+	0.0752974i
$357$	−7.91163	−	24.3495i	−0.418728	−	1.28871i
$358$	14.4298	+	44.4104i	0.762639	+	2.34716i
$359$	−2.88775	−	2.09807i	−0.152410	−	0.110732i	0.508967	−	0.860786i	$-0.330027\pi$
$359$	−2.88775	−	2.09807i	−0.152410	−	0.110732i	−0.661377	+	0.750054i	$0.730027\pi$
$360$	5.18229	−	3.76516i	0.273131	−	0.198441i
$361$	−3.92373	+	12.0760i	−0.206512	+	0.635579i
$362$	−25.1182			−1.32018
$363$	−8.41673	−	7.08228i	−0.441764	−	0.371723i
$364$	93.3495			4.89284
$365$	−0.0138044	+	0.0424855i	−0.000722555	+	0.00222379i
$366$	16.8227	−	12.2224i	0.879335	−	0.638874i
$367$	20.6054	+	14.9707i	1.07559	+	0.781463i	0.976909	−	0.213656i	$-0.0685373\pi$
$367$	20.6054	+	14.9707i	1.07559	+	0.781463i	0.0986820	+	0.995119i	$0.468537\pi$
$368$	6.98715	+	21.5042i	0.364230	+	1.12099i
$369$	−0.914357	−	2.81410i	−0.0475995	−	0.146496i
$370$	15.7745	+	11.4609i	0.820079	+	0.595822i
$371$	−21.0958	+	15.3270i	−1.09524	+	0.795739i
$372$	2.78148	−	8.56050i	0.144213	−	0.443841i
$373$	25.4291			1.31667			0.658334	−	0.752726i	$-0.271262\pi$
$373$	25.4291			1.31667			0.658334	+	0.752726i	$0.271262\pi$
$374$	31.8259	−	40.6774i	1.64568	−	2.10338i
$375$	1.00000			0.0516398
$376$	11.0137	−	33.8967i	0.567988	−	1.74809i
$377$	−14.3713	+	10.4414i	−0.740161	+	0.537759i
$378$	−8.65954	−	6.29153i	−0.445399	−	0.323601i
$379$	−4.03070	−	12.4052i	−0.207043	−	0.637214i	−0.999623	−	0.0274458i	$-0.991263\pi$
$379$	−4.03070	−	12.4052i	−0.207043	−	0.637214i	0.792580	−	0.609768i	$-0.208737\pi$
$380$	3.49916	+	10.7693i	0.179503	+	0.552453i
$381$	−11.4989	−	8.35443i	−0.589106	−	0.428011i
$382$	−17.5229	+	12.7311i	−0.896547	+	0.651380i
$383$	7.14922	−	22.0030i	0.365308	−	1.12430i	−0.584480	−	0.811408i	$-0.698701\pi$
$383$	7.14922	−	22.0030i	0.365308	−	1.12430i	0.949788	−	0.312895i	$-0.101299\pi$
$384$	10.8734			0.554880
$385$	7.77221	+	11.5399i	0.396108	+	0.588129i
$386$	−69.5890			−3.54199
$387$	−0.0577794	+	0.177827i	−0.00293709	+	0.00903943i
$388$	40.3661	−	29.3277i	2.04928	−	1.48889i
$389$	3.28226	+	2.38470i	0.166417	+	0.120909i	0.667877	−	0.744272i	$-0.267203\pi$
$389$	3.28226	+	2.38470i	0.166417	+	0.120909i	−0.501459	+	0.865181i	$0.667203\pi$
$390$	−3.88998	−	11.9721i	−0.196977	−	0.606232i
$391$	−5.82282	−	17.9208i	−0.294473	−	0.906294i
$392$	−54.9216	−	39.9028i	−2.77396	−	2.01540i
$393$	11.8682	−	8.62272i	0.598670	−	0.434959i
$394$	−17.0021	+	52.3270i	−0.856552	+	2.63619i
$395$	−12.5270			−0.630304
$396$	0.532391	−	14.9501i	0.0267536	−	0.751271i
$397$	−23.2206			−1.16541			−0.582705	−	0.812684i	$-0.698006\pi$
$397$	−23.2206			−1.16541			−0.582705	+	0.812684i	$0.698006\pi$
$398$	18.3652	−	56.5223i	0.920565	−	2.83321i
$399$	8.52013	−	6.19023i	0.426540	−	0.309899i
$400$	−5.92484	−	4.30465i	−0.296242	−	0.215232i
$401$	0.694144	+	2.13636i	0.0346639	+	0.106685i	0.966891	−	0.255188i	$-0.0821375\pi$
$401$	0.694144	+	2.13636i	0.0346639	+	0.106685i	−0.932227	+	0.361873i	$0.882137\pi$
$402$	5.23686	+	16.1174i	0.261191	+	0.803862i
$403$	−7.96499	−	5.78690i	−0.396764	−	0.288266i
$404$	22.1661	−	16.1046i	1.10281	−	0.801236i
$405$	−0.309017	+	0.951057i	−0.0153552	+	0.0472584i
$406$	38.5406			1.91274
$407$	24.3678	−	6.96916i	1.20787	−	0.345449i
$408$	39.0946			1.93547
$409$	−9.82272	+	30.2312i	−0.485702	+	1.49484i	0.345259	+	0.938507i	$0.387791\pi$
$409$	−9.82272	+	30.2312i	−0.485702	+	1.49484i	−0.830961	+	0.556330i	$0.812209\pi$
$410$	−6.10798	+	4.43771i	−0.301652	+	0.219163i
$411$	−6.96592	−	5.06104i	−0.343604	−	0.249643i
$412$	−11.0971	−	34.1533i	−0.546714	−	1.68261i
$413$	0.687822	+	2.11690i	0.0338455	+	0.104166i
$414$	−6.37328	−	4.63046i	−0.313229	−	0.227575i
$415$	−5.23249	+	3.80163i	−0.256853	+	0.186615i
$416$	−8.95681	+	27.5662i	−0.439144	+	1.35155i
$417$	3.73086			0.182701
$418$	19.9589	+	7.28005i	0.976224	+	0.356079i
$419$	−7.67926			−0.375156			−0.187578	−	0.982250i	$-0.560064\pi$
$419$	−7.67926			−0.375156			−0.187578	+	0.982250i	$0.560064\pi$
$420$	−5.84704	+	17.9954i	−0.285307	+	0.878083i
$421$	17.3322	−	12.5926i	0.844720	−	0.613725i	−0.0789648	−	0.996877i	$-0.525161\pi$
$421$	17.3322	−	12.5926i	0.844720	−	0.613725i	0.923685	+	0.383152i	$0.125161\pi$
$422$	−13.4017	−	9.73689i	−0.652384	−	0.473984i
$423$	1.71937	+	5.29167i	0.0835986	+	0.257290i
$424$	−12.3042	−	37.8686i	−0.597547	−	1.83906i
$425$	4.93754	+	3.58733i	0.239506	+	0.174011i
$426$	−22.7410	+	16.5223i	−1.10181	+	0.800509i
$427$	−10.5644	+	32.5138i	−0.511246	+	1.57345i
$428$	−0.197606			−0.00955167
$429$	−15.3720	−	5.60696i	−0.742168	−	0.270707i
$430$	0.477086			0.0230072
$431$	2.09385	−	6.44420i	0.100857	−	0.310406i	−0.887879	−	0.460077i	$-0.847822\pi$
$431$	2.09385	−	6.44420i	0.100857	−	0.310406i	0.988736	+	0.149672i	$0.0478216\pi$
$432$	5.92484	−	4.30465i	0.285059	−	0.207108i
$433$	−16.1688	−	11.7473i	−0.777021	−	0.564539i	0.127063	−	0.991895i	$-0.459445\pi$
$433$	−16.1688	−	11.7473i	−0.777021	−	0.564539i	−0.904083	+	0.427356i	$0.859445\pi$
$434$	6.60069	+	20.3148i	0.316843	+	0.975143i
$435$	−1.11266	−	3.42443i	−0.0533481	−	0.164189i
$436$	−40.0955	−	29.1311i	−1.92023	−	1.39513i
$437$	6.27067	−	4.55591i	0.299967	−	0.217939i
$438$	−0.0352228	+	0.108405i	−0.00168301	+	0.00517977i
$439$	34.2187			1.63317			0.816585	−	0.577225i	$-0.195864\pi$
$439$	34.2187			1.63317			0.816585	+	0.577225i	$0.195864\pi$
$440$	−20.4262	+	5.84189i	−0.973782	+	0.278501i
$441$	10.5979			0.504663
$442$	23.7410	−	73.0674i	1.12925	−	3.47546i
$443$	21.2082	−	15.4087i	1.00763	−	0.732088i	0.0439211	−	0.999035i	$-0.486015\pi$
$443$	21.2082	−	15.4087i	1.00763	−	0.732088i	0.963711	+	0.266947i	$0.0860150\pi$
$444$	27.8851	+	20.2597i	1.32337	+	0.961485i
$445$	0.165594	+	0.509647i	0.00784992	+	0.0241596i
$446$	4.86674	+	14.9783i	0.230447	+	0.709242i
$447$	8.05984	+	5.85582i	0.381217	+	0.276971i
$448$	1.16617	−	0.847273i	0.0550964	−	0.0400299i
$449$	7.66502	−	23.5905i	0.361735	−	1.11330i	−0.590266	−	0.807209i	$-0.700977\pi$
$449$	7.66502	−	23.5905i	0.361735	−	1.11330i	0.952001	−	0.306096i	$-0.0990228\pi$
$450$	2.55157			0.120282
$451$	−0.349253	+	9.80741i	−0.0164457	+	0.461813i
$452$	64.6568			3.04120
$453$	4.61114	−	14.1916i	0.216650	−	0.666781i
$454$	−32.6844	+	23.7466i	−1.53395	+	1.11448i
$455$	16.7435	+	12.1649i	0.784947	+	0.570298i
$456$	4.96941	+	15.2943i	0.232714	+	0.716219i
$457$	1.18730	+	3.65413i	0.0555396	+	0.170933i	0.974978	−	0.222300i	$-0.0713565\pi$
$457$	1.18730	+	3.65413i	0.0555396	+	0.170933i	−0.919439	+	0.393233i	$0.871356\pi$
$458$	−38.3509	−	27.8636i	−1.79202	−	1.30198i
$459$	−4.93754	+	3.58733i	−0.230464	+	0.167442i
$460$	−4.30332	+	13.2443i	−0.200644	+	0.617517i
$461$	11.3262			0.527515			0.263758	−	0.964589i	$-0.415038\pi$
$461$	11.3262			0.527515			0.263758	+	0.964589i	$0.415038\pi$
$462$	19.8313	+	29.4449i	0.922635	+	1.36990i
$463$	−16.3682			−0.760694			−0.380347	−	0.924844i	$-0.624195\pi$
$463$	−16.3682			−0.760694			−0.380347	+	0.924844i	$0.624195\pi$
$464$	−8.14860	+	25.0788i	−0.378289	+	1.16425i
$465$	1.61446	−	1.17297i	0.0748688	−	0.0543953i
$466$	−6.48937	−	4.71480i	−0.300614	−	0.218409i
$467$	3.69831	+	11.3822i	0.171137	+	0.526706i	0.999436	−	0.0335804i	$-0.0106910\pi$
$467$	3.69831	+	11.3822i	0.171137	+	0.526706i	−0.828299	+	0.560287i	$0.810691\pi$
$468$	−6.87644	−	21.1635i	−0.317863	−	0.978283i
$469$	−22.5408	−	16.3769i	−1.04084	−	0.756214i
$470$	11.4855	−	8.34472i	0.529788	−	0.384913i
$471$	3.45628	−	10.6373i	0.159257	−	0.490143i
$472$	−3.39881			−0.156443
$473$	0.382131	−	0.488410i	0.0175704	−	0.0224571i
$474$	−31.9636			−1.46813
$475$	−0.775783	+	2.38761i	−0.0355953	+	0.109551i
$476$	−93.4253	+	67.8774i	−4.28214	+	3.11116i
$477$	5.02882	+	3.65365i	0.230254	+	0.167289i
$478$	−0.881343	−	2.71249i	−0.0403117	−	0.124067i
$479$	7.57311	+	23.3076i	0.346024	+	1.06495i	0.961033	+	0.276433i	$0.0891525\pi$
$479$	7.57311	+	23.3076i	0.346024	+	1.06495i	−0.615009	+	0.788520i	$0.710848\pi$
$480$	−4.75303	−	3.45328i	−0.216945	−	0.157620i
$481$	30.5005	−	22.1599i	1.39070	−	1.01041i
$482$	−11.3874	+	35.0470i	−0.518684	+	1.59634i
$483$	12.9518			0.589326
$484$	−18.6497	+	45.9769i	−0.847712	+	2.08986i
$485$	11.0621			0.502302
$486$	−0.788477	+	2.42668i	−0.0357660	+	0.110077i
$487$	−29.7504	+	21.6149i	−1.34812	+	0.979466i	−0.349016	+	0.937117i	$0.613484\pi$
$487$	−29.7504	+	21.6149i	−1.34812	+	0.979466i	−0.999103	+	0.0423494i	$0.986516\pi$
$488$	−42.2331	−	30.6841i	−1.91180	−	1.38900i
$489$	−0.265462	−	0.817007i	−0.0120046	−	0.0369464i
$490$	−8.35622	−	25.7178i	−0.377496	−	1.16181i
$491$	4.72822	+	3.43525i	0.213382	+	0.155031i	0.689342	−	0.724436i	$-0.257900\pi$
$491$	4.72822	+	3.43525i	0.213382	+	0.155031i	−0.475961	+	0.879467i	$0.657900\pi$
$492$	−10.7973	+	7.84468i	−0.486779	+	0.353665i
$493$	6.79073	−	20.8997i	0.305839	−	0.941276i
$494$	31.6026			1.42187
$495$	2.04372	−	2.61213i	0.0918584	−	0.117406i
$496$	−14.6147			−0.656218
$497$	14.2810	−	43.9524i	0.640591	−	1.97154i
$498$	−13.3510	+	9.70010i	−0.598275	+	0.434672i
$499$	−0.154871	−	0.112521i	−0.00693299	−	0.00503711i	0.584313	−	0.811528i	$-0.301364\pi$
$499$	−0.154871	−	0.112521i	−0.00693299	−	0.00503711i	−0.591246	+	0.806491i	$0.701364\pi$
$500$	−1.39382	−	4.28973i	−0.0623334	−	0.191842i
$501$	−5.83399	−	17.9552i	−0.260644	−	0.802178i
$502$	0.603397	+	0.438393i	0.0269309	+	0.0195665i
$503$	13.7547	−	9.99336i	0.613291	−	0.445582i	−0.237281	−	0.971441i	$-0.576256\pi$
$503$	13.7547	−	9.99336i	0.613291	−	0.445582i	0.850572	+	0.525859i	$0.176256\pi$
$504$	−8.30381	+	25.5565i	−0.369881	+	1.13838i
$505$	6.07448			0.270311
$506$	14.5955	+	21.6709i	0.648849	+	0.963390i
$507$	−11.3397			−0.503615
$508$	−19.8109	+	60.9716i	−0.878966	+	2.70518i
$509$	−7.26131	+	5.27565i	−0.321852	+	0.233839i	−0.736965	−	0.675931i	$-0.763742\pi$
$509$	−7.26131	+	5.27565i	−0.321852	+	0.233839i	0.415113	+	0.909770i	$0.363742\pi$
$510$	12.5984	+	9.15331i	0.557869	+	0.405315i
$511$	−0.0579092	−	0.178226i	−0.00256175	−	0.00788427i
$512$	−15.6974	−	48.3115i	−0.693732	−	2.13509i
$513$	−2.03103	−	1.47563i	−0.0896720	−	0.0651505i
$514$	51.8599	−	37.6784i	2.28744	−	1.66192i
$515$	2.46029	−	7.57198i	0.108413	−	0.333661i
$516$	0.843361			0.0371269
$517$	0.656740	−	18.4420i	0.0288834	−	0.811078i
$518$	−81.7955			−3.59389
$519$	−3.03751	+	9.34848i	−0.133332	+	0.410353i
$520$	−25.5670	+	18.5755i	−1.12119	+	0.814590i
$521$	14.1701	+	10.2952i	0.620804	+	0.451041i	0.853202	−	0.521580i	$-0.174657\pi$
$521$	14.1701	+	10.2952i	0.620804	+	0.451041i	−0.232398	+	0.972621i	$0.574657\pi$
$522$	−2.83903	−	8.73765i	−0.124261	−	0.382436i
$523$	9.36697	+	28.8286i	0.409589	+	1.26059i	0.917002	+	0.398883i	$0.130602\pi$
$523$	9.36697	+	28.8286i	0.409589	+	1.26059i	−0.507413	+	0.861703i	$0.669398\pi$
$524$	−53.5312	−	38.8927i	−2.33852	−	1.69903i
$525$	−3.39382	+	2.46575i	−0.148118	+	0.107614i
$526$	−10.9039	+	33.5587i	−0.475432	+	1.46323i
$527$	12.1793			0.530539
$528$	−23.3530	+	6.67894i	−1.01631	+	0.290664i
$529$	−13.4677			−0.585553
$530$	4.90114	−	15.0842i	0.212892	−	0.655214i
$531$	0.429260	−	0.311876i	0.0186283	−	0.0135343i
$532$	−38.4299	−	27.9210i	−1.66615	−	1.21053i
$533$	4.51101	+	13.8835i	0.195393	+	0.601359i
$534$	0.422524	+	1.30040i	0.0182844	+	0.0562737i
$535$	−0.0354434	−	0.0257511i	−0.00153235	−	0.00111332i
$536$	34.4194	−	25.0072i	1.48669	−	1.08015i
$537$	−5.65527	+	17.4051i	−0.244043	+	0.751087i
$538$	−21.8312			−0.941208
$539$	−33.0213	−	12.0446i	−1.42233	−	0.518796i
$540$	4.51049			0.194100
$541$	−7.99242	+	24.5981i	−0.343621	+	1.05756i	0.618697	+	0.785630i	$0.287661\pi$
$541$	−7.99242	+	24.5981i	−0.343621	+	1.05756i	−0.962318	+	0.271927i	$0.912339\pi$
$542$	18.8915	−	13.7254i	0.811458	−	0.589559i
$543$	−7.96414	−	5.78629i	−0.341774	−	0.248313i
$544$	−11.0802	−	34.1014i	−0.475060	−	1.46209i
$545$	−3.39545	−	10.4501i	−0.145445	−	0.447634i
$546$	42.7221	+	31.0394i	1.82834	+	1.32837i
$547$	3.83519	−	2.78643i	0.163981	−	0.119139i	−0.502768	−	0.864421i	$-0.667685\pi$
$547$	3.83519	−	2.78643i	0.163981	−	0.119139i	0.666749	+	0.745282i	$0.267685\pi$
$548$	−12.0013	+	36.9361i	−0.512668	+	1.57783i
$549$	8.14949			0.347812
$550$	−7.95023	−	2.89986i	−0.338999	−	0.123650i
$551$	9.03939			0.385091
$552$	−6.11146	+	18.8091i	−0.260121	+	0.800571i
$553$	42.5145	−	30.8886i	1.80790	−	1.31352i
$554$	39.5408	+	28.7281i	1.67993	+	1.22054i
$555$	2.36143	+	7.26772i	0.100237	+	0.308498i
$556$	−5.20014	−	16.0044i	−0.220535	−	0.678737i
$557$	−23.7129	−	17.2284i	−1.00475	−	0.729992i	−0.0416471	−	0.999132i	$-0.513261\pi$
$557$	−23.7129	−	17.2284i	−1.00475	−	0.729992i	−0.963101	+	0.269140i	$0.913261\pi$
$558$	4.11940	−	2.99292i	0.174388	−	0.126700i
$559$	0.285056	−	0.877313i	0.0120566	−	0.0371064i
$560$	30.7220			1.29824
$561$	19.4615	−	5.56598i	0.821665	−	0.234996i
$562$	42.1903			1.77969
$563$	−11.1472	+	34.3076i	−0.469799	+	1.44589i	0.383047	+	0.923729i	$0.374875\pi$
$563$	−11.1472	+	34.3076i	−0.469799	+	1.44589i	−0.852846	+	0.522163i	$0.825125\pi$
$564$	20.3033	−	14.7512i	0.854925	−	0.621139i
$565$	11.5971	+	8.42577i	0.487893	+	0.354475i
$566$	15.8944	+	48.9179i	0.668092	+	2.05617i
$567$	−1.29632	−	3.98967i	−0.0544404	−	0.167550i
$568$	57.0910	+	41.4790i	2.39549	+	1.74042i
$569$	22.4772	−	16.3307i	0.942295	−	0.684617i	−0.00667707	−	0.999978i	$-0.502125\pi$
$569$	22.4772	−	16.3307i	0.942295	−	0.684617i	0.948972	+	0.315360i	$0.102125\pi$
$570$	−1.97946	+	6.09215i	−0.0829105	+	0.255172i
$571$	−17.4091			−0.728547			−0.364274	−	0.931292i	$-0.618683\pi$
$571$	−17.4091			−0.728547			−0.364274	+	0.931292i	$0.618683\pi$
$572$	−2.62657	+	73.7568i	−0.109822	+	3.08393i
$573$	−8.48869			−0.354620
$574$	9.78708	−	30.1215i	0.408505	−	1.25725i
$575$	−2.49779	+	1.81475i	−0.104165	+	0.0756804i
$576$	−0.277992	−	0.201973i	−0.0115830	−	0.00841553i
$577$	−6.82760	−	21.0132i	−0.284237	−	0.874791i	−0.986626	−	0.162998i	$-0.947884\pi$
$577$	−6.82760	−	21.0132i	−0.284237	−	0.874791i	0.702390	−	0.711793i	$-0.252116\pi$
$578$	15.9652	+	49.1360i	0.664067	+	2.04379i
$579$	−22.0644	−	16.0307i	−0.916964	−	0.666213i
$580$	−13.1390	+	9.54605i	−0.545567	+	0.396378i
$581$	8.38425	−	25.8041i	0.347837	−	1.07053i
$582$	28.2255			1.16999
$583$	−11.5165	−	17.0994i	−0.476966	−	0.708184i
$584$	0.286154			0.0118411
$585$	1.52455	−	4.69207i	0.0630322	−	0.193993i
$586$	67.9401	−	49.3614i	2.80658	−	2.03910i
$587$	−1.29069	−	0.937738i	−0.0532723	−	0.0387046i	0.560830	−	0.827931i	$-0.310482\pi$
$587$	−1.29069	−	0.937738i	−0.0532723	−	0.0387046i	−0.614103	+	0.789226i	$0.710482\pi$
$588$	−14.7716	−	45.4622i	−0.609169	−	1.87483i
$589$	1.54814	+	4.76468i	0.0637899	+	0.196325i
$590$	−1.09528	−	0.795771i	−0.0450922	−	0.0327614i
$591$	−17.4450	+	12.6745i	−0.717590	+	0.521360i
$592$	17.2939	−	53.2252i	0.710776	−	2.18754i
$593$	−30.8033			−1.26494			−0.632470	−	0.774584i	$-0.717959\pi$
$593$	−30.8033			−1.26494			−0.632470	+	0.774584i	$0.717959\pi$
$594$	5.21468	−	6.66501i	0.213961	−	0.273469i
$595$	−25.6026			−1.04960
$596$	13.8859	−	42.7365i	0.568789	−	1.75055i
$597$	18.8436	−	13.6907i	0.771219	−	0.560323i
$598$	31.4428	+	22.8445i	1.28579	+	0.934181i
$599$	2.94897	+	9.07599i	0.120492	+	0.370835i	0.993053	−	0.117670i	$-0.0375425\pi$
$599$	2.94897	+	9.07599i	0.120492	+	0.370835i	−0.872561	+	0.488505i	$0.837542\pi$
$600$	−1.97946	−	6.09215i	−0.0808111	−	0.248711i
$601$	5.22090	+	3.79320i	0.212965	+	0.154728i	0.689154	−	0.724615i	$-0.257982\pi$
$601$	5.22090	+	3.79320i	0.212965	+	0.154728i	−0.476189	+	0.879343i	$0.657982\pi$
$602$	−1.61914	+	1.17638i	−0.0659914	+	0.0479455i
$603$	−2.05241	+	6.31667i	−0.0835806	+	0.257235i
$604$	−67.3053			−2.73861
$605$	−9.33656	+	5.81624i	−0.379585	+	0.236464i
$606$	15.4994			0.629621
$607$	1.26403	−	3.89030i	0.0513055	−	0.157902i	−0.922121	−	0.386901i	$-0.873545\pi$
$607$	1.26403	−	3.89030i	0.0513055	−	0.157902i	0.973427	+	0.228999i	$0.0735453\pi$
$608$	11.9324	−	8.66941i	0.483924	−	0.351591i
$609$	12.2200	+	8.87832i	0.495178	+	0.359768i
$610$	−6.42569	−	19.7762i	−0.260168	−	0.800716i
$611$	−8.48256	−	26.1066i	−0.343168	−	1.05616i
$612$	22.2707	+	16.1806i	0.900239	+	0.654062i
$613$	34.7692	−	25.2613i	1.40431	−	1.02029i	0.410194	−	0.911998i	$-0.365461\pi$
$613$	34.7692	−	25.2613i	1.40431	−	1.02029i	0.994119	−	0.108295i	$-0.0345392\pi$
$614$	20.2036	−	62.1802i	0.815350	−	2.50939i
$615$	−2.95892			−0.119315
$616$	54.9182	−	70.1923i	2.21272	−	2.82813i
$617$	16.2829			0.655526			0.327763	−	0.944760i	$-0.393705\pi$
$617$	16.2829			0.655526			0.327763	+	0.944760i	$0.393705\pi$
$618$	6.27758	−	19.3204i	0.252521	−	0.777180i
$619$	8.45075	−	6.13983i	0.339664	−	0.246781i	−0.404856	−	0.914381i	$-0.632678\pi$
$619$	8.45075	−	6.13983i	0.339664	−	0.246781i	0.744520	+	0.667600i	$0.232678\pi$
$620$	−7.28200	−	5.29068i	−0.292452	−	0.212479i
$621$	−0.954071	−	2.93633i	−0.0382856	−	0.117831i
$622$	−0.197684	−	0.608409i	−0.00792640	−	0.0243950i
$623$	−1.81866	−	1.32133i	−0.0728630	−	0.0529381i
$624$	−29.2304	+	21.2371i	−1.17015	+	0.850165i
$625$	0.309017	−	0.951057i	0.0123607	−	0.0380423i
$626$	−32.2533			−1.28910
$627$	4.65127	+	6.90606i	0.185754	+	0.275801i
$628$	−50.4487			−2.01312
$629$	−14.4121	+	44.3559i	−0.574648	+	1.76858i
$630$	−8.65954	+	6.29153i	−0.345005	+	0.250660i
$631$	6.69072	+	4.86109i	0.266353	+	0.193517i	0.712943	−	0.701222i	$-0.247362\pi$
$631$	6.69072	+	4.86109i	0.266353	+	0.193517i	−0.446590	+	0.894739i	$0.647362\pi$
$632$	24.7968	+	76.3166i	0.986363	+	3.03571i
$633$	−2.00621	−	6.17449i	−0.0797399	−	0.245414i
$634$	53.0614	+	38.5514i	2.10734	+	1.53107i
$635$	−11.4989	+	8.35443i	−0.456320	+	0.331536i
$636$	8.66391	−	26.6648i	0.343546	−	1.05733i
$637$	−52.2852			−2.07161
$638$	−1.08441	+	30.4515i	−0.0429324	+	1.20559i
$639$	−11.0166			−0.435808
$640$	3.36006	−	10.3412i	0.132818	−	0.408772i
$641$	15.1139	−	10.9809i	0.596963	−	0.433719i	−0.247836	−	0.968802i	$-0.579720\pi$
$641$	15.1139	−	10.9809i	0.596963	−	0.433719i	0.844800	+	0.535083i	$0.179720\pi$
$642$	−0.0904362	−	0.0657057i	−0.00356923	−	0.00259320i
$643$	5.75704	+	17.7183i	0.227035	+	0.698743i	0.998079	+	0.0619604i	$0.0197352\pi$
$643$	5.75704	+	17.7183i	0.227035	+	0.698743i	−0.771043	+	0.636783i	$0.780265\pi$
$644$	−18.0524	−	55.5596i	−0.711364	−	2.18935i
$645$	0.151268	+	0.109903i	0.00595619	+	0.00432742i
$646$	−31.6282	+	22.9792i	−1.24440	+	0.904106i
$647$	5.13988	−	15.8189i	0.202070	−	0.621906i	−0.797751	−	0.602987i	$-0.793977\pi$
$647$	5.13988	−	15.8189i	0.202070	−	0.621906i	0.999821	−	0.0189199i	$-0.00602275\pi$
$648$	6.40567			0.251638
$649$	−1.69195	+	0.483895i	−0.0664147	+	0.0189946i
$650$	−12.5882			−0.493751
$651$	−2.58692	+	7.96171i	−0.101389	+	0.312044i
$652$	−3.13473	+	2.27752i	−0.122766	+	0.0891945i
$653$	−27.3051	−	19.8383i	−1.06853	−	0.776334i	−0.0928838	−	0.995677i	$-0.529609\pi$
$653$	−27.3051	−	19.8383i	−1.06853	−	0.776334i	−0.975648	+	0.219343i	$0.929609\pi$
$654$	−8.66371	−	26.6641i	−0.338778	−	1.04265i
$655$	−4.53323	−	13.9519i	−0.177128	−	0.545144i
$656$	17.5311	+	12.7371i	0.684476	+	0.497301i
$657$	−0.0361403	+	0.0262575i	−0.00140997	+	0.00102440i
$658$	−18.4038	+	56.6409i	−0.717453	+	2.20809i
$659$	41.7854			1.62773			0.813864	−	0.581055i	$-0.197360\pi$
$659$	41.7854			1.62773			0.813864	+	0.581055i	$0.197360\pi$
$660$	−14.0539	−	5.12617i	−0.547047	−	0.199536i
$661$	−37.7152			−1.46695			−0.733476	−	0.679715i	$-0.762104\pi$
$661$	−37.7152			−1.46695			−0.733476	+	0.679715i	$0.762104\pi$
$662$	−23.8785	+	73.4905i	−0.928064	+	2.85629i
$663$	24.3595	−	17.6982i	0.946044	−	0.687341i
$664$	33.5176	+	24.3520i	1.30074	+	0.945040i
$665$	−3.25440	−	10.0160i	−0.126200	−	0.388404i
$666$	6.02533	+	18.5441i	0.233477	+	0.718568i
$667$	8.99368	+	6.53429i	0.348237	+	0.253009i
$668$	−68.8913	+	50.0525i	−2.66548	+	1.93659i
$669$	−1.90735	+	5.87023i	−0.0737426	+	0.226956i
$670$	16.9468			0.654713
$671$	−25.3924	−	9.26191i	−0.980262	−	0.357552i
$672$	24.6459			0.950735
$673$	−1.21878	+	3.75102i	−0.0469805	+	0.144591i	−0.971795	−	0.235827i	$-0.924220\pi$
$673$	−1.21878	+	3.75102i	−0.0469805	+	0.144591i	0.924814	+	0.380418i	$0.124220\pi$
$674$	37.2289	−	27.0484i	1.43400	−	1.04186i
$675$	0.809017	+	0.587785i	0.0311391	+	0.0226239i
$676$	15.8055	+	48.6443i	0.607904	+	1.87094i
$677$	7.64328	+	23.5236i	0.293755	+	0.904085i	0.983637	+	0.180163i	$0.0576625\pi$
$677$	7.64328	+	23.5236i	0.293755	+	0.904085i	−0.689882	+	0.723922i	$0.742338\pi$
$678$	29.5907	+	21.4989i	1.13642	+	0.825661i
$679$	−37.5426	+	27.2763i	−1.44075	+	1.04677i
$680$	12.0809	−	37.1812i	0.463281	−	1.42583i
$681$	−15.8335			−0.606740
$682$	−16.2368	+	4.64371i	−0.621739	+	0.177817i
$683$	16.4724			0.630298			0.315149	−	0.949042i	$-0.397946\pi$
$683$	16.4724			0.630298			0.315149	+	0.949042i	$0.397946\pi$
$684$	−3.49916	+	10.7693i	−0.133794	+	0.411774i
$685$	−6.96592	+	5.06104i	−0.266154	+	0.193372i
$686$	31.1564	+	22.6364i	1.18956	+	0.864263i
$687$	−5.74108	−	17.6692i	−0.219036	−	0.674123i
$688$	−0.423148	−	1.30231i	−0.0161324	−	0.0496503i
$689$	−24.8098	−	18.0254i	−0.945179	−	0.686713i
$690$	−6.37328	+	4.63046i	−0.242626	+	0.176278i
$691$	−6.11273	+	18.8130i	−0.232539	+	0.715682i	0.764899	+	0.644150i	$0.222789\pi$
$691$	−6.11273	+	18.8130i	−0.232539	+	0.715682i	−0.997438	+	0.0715317i	$0.977211\pi$
$692$	44.3362			1.68541
$693$	−0.495151	+	13.9044i	−0.0188092	+	0.528184i
$694$	18.6990			0.709806
$695$	1.15290	−	3.54826i	0.0437320	−	0.134593i
$696$	−18.6597	+	13.5570i	−0.707292	+	0.513878i
$697$	−14.6098	−	10.6146i	−0.553385	−	0.402058i
$698$	−17.3761	−	53.4781i	−0.657694	−	2.02418i
$699$	−0.971450	−	2.98982i	−0.0367436	−	0.113085i
$700$	15.3078	+	11.1217i	0.578579	+	0.420362i
$701$	−1.04729	+	0.760904i	−0.0395557	+	0.0287389i	−0.607387	−	0.794406i	$-0.707782\pi$
$701$	−1.04729	+	0.760904i	−0.0395557	+	0.0287389i	0.567832	+	0.823145i	$0.307782\pi$
$702$	3.88998	−	11.9721i	0.146818	−	0.451858i
$703$	−19.1845			−0.723556
$704$	0.636631	+	0.945250i	0.0239939	+	0.0356254i
$705$	5.56399			0.209552
$706$	8.51427	−	26.2042i	0.320439	−	0.986209i
$707$	−20.6157	+	14.9782i	−0.775332	+	0.563312i
$708$	−1.93617	−	1.40671i	−0.0727658	−	0.0528674i
$709$	2.29886	+	7.07517i	0.0863355	+	0.265713i	0.984899	−	0.173130i	$-0.0553882\pi$
$709$	2.29886	+	7.07517i	0.0863355	+	0.265713i	−0.898563	+	0.438844i	$0.855388\pi$
$710$	8.68630	+	26.7337i	0.325991	+	1.00330i
$711$	−10.1346	−	7.36321i	−0.380077	−	0.276142i
$712$	2.77706	−	2.01765i	0.104075	−	0.0756146i
$713$	−1.90393	+	5.85969i	−0.0713026	+	0.219447i
$714$	−65.3266			−2.44479
$715$	−10.0828	+	12.8870i	−0.377074	+	0.481947i
$716$	82.5457			3.08488
$717$	0.345413	−	1.06307i	0.0128997	−	0.0397011i
$718$	−7.36828	+	5.35337i	−0.274982	+	0.199786i
$719$	31.0014	+	22.5238i	1.15616	+	0.839997i	0.989287	−	0.145982i	$-0.0466340\pi$
$719$	31.0014	+	22.5238i	1.15616	+	0.839997i	0.166870	+	0.985979i	$0.446634\pi$
$720$	−2.26309	−	6.96507i	−0.0843403	−	0.259573i
$721$	10.3209	+	31.7644i	0.384369	+	1.18297i
$722$	26.2109	+	19.0433i	0.975467	+	0.708718i
$723$	−11.6841	+	8.48899i	−0.434536	+	0.315709i
$724$	−13.7210	+	42.2290i	−0.509938	+	1.56943i
$725$	−3.60066			−0.133725
$726$	−23.8228	+	14.8405i	−0.884148	+	0.550783i
$727$	40.7149			1.51003			0.755016	−	0.655707i	$-0.227629\pi$
$727$	40.7149			1.51003			0.755016	+	0.655707i	$0.227629\pi$
$728$	40.9671	−	126.084i	1.51834	−	4.67298i
$729$	−0.809017	+	0.587785i	−0.0299636	+	0.0217698i
$730$	0.0922145	+	0.0669977i	0.00341301	+	0.00247970i
$731$	0.352635	+	1.08530i	0.0130427	+	0.0401412i
$732$	−11.3589	−	34.9591i	−0.419837	−	1.29212i
$733$	3.46043	+	2.51415i	0.127814	+	0.0928623i	0.649855	−	0.760058i	$-0.274829\pi$
$733$	3.46043	+	2.51415i	0.127814	+	0.0928623i	−0.522042	+	0.852920i	$0.674829\pi$
$734$	52.5759	−	38.1986i	1.94061	−	1.40994i
$735$	3.27494	−	10.0792i	0.120798	−	0.371778i
$736$	18.1389			0.668610
$737$	13.5738	−	17.3491i	0.499999	−	0.639061i
$738$	−7.54988			−0.277915
$739$	−5.26772	+	16.2124i	−0.193776	+	0.596381i	0.806213	+	0.591626i	$0.201514\pi$
$739$	−5.26772	+	16.2124i	−0.193776	+	0.596381i	−0.999989	+	0.00475554i	$0.998486\pi$
$740$	27.8851	−	20.2597i	1.02508	−	0.744763i
$741$	10.0201	+	7.28005i	0.368099	+	0.267439i
$742$	20.5602	+	63.2779i	0.754790	+	2.32300i
$743$	8.56788	+	26.3692i	0.314325	+	0.967393i	0.976031	+	0.217630i	$0.0698326\pi$
$743$	8.56788	+	26.3692i	0.314325	+	0.967393i	−0.661706	+	0.749763i	$0.730167\pi$
$744$	−10.3417	−	7.51368i	−0.379145	−	0.275465i
$745$	8.05984	−	5.85582i	0.295290	−	0.214541i
$746$	20.0502	−	61.7083i	0.734091	−	2.25930i
$747$	−6.46772			−0.236641
$748$	−51.0023	−	75.7266i	−1.86483	−	2.76884i
$749$	0.183784			0.00671533
$750$	0.788477	−	2.42668i	0.0287911	−	0.0886099i
$751$	17.1755	−	12.4787i	0.626744	−	0.455356i	−0.228527	−	0.973538i	$-0.573391\pi$
$751$	17.1755	−	12.4787i	0.626744	−	0.455356i	0.855271	+	0.518182i	$0.173391\pi$
$752$	−32.9658	−	23.9510i	−1.20214	−	0.873405i
$753$	0.0903277	+	0.278000i	0.00329172	+	0.0101309i
$754$	14.0065	+	43.1075i	0.510085	+	1.56988i
$755$	−12.0721	−	8.77091i	−0.439350	−	0.319206i
$756$	−15.3078	+	11.1217i	−0.556738	+	0.404494i
$757$	0.376686	−	1.15932i	0.0136909	−	0.0421363i	−0.943978	−	0.330009i	$-0.892948\pi$
$757$	0.376686	−	1.15932i	0.0136909	−	0.0421363i	0.957669	+	0.287873i	$0.0929481\pi$
$758$	−33.2817			−1.20884
$759$	−0.364423	+	10.2334i	−0.0132277	+	0.371449i
$760$	16.0813			0.583331
$761$	−9.36868	+	28.8338i	−0.339614	+	1.04523i	0.624790	+	0.780793i	$0.285185\pi$
$761$	−9.36868	+	28.8338i	−0.339614	+	1.04523i	−0.964404	+	0.264433i	$0.914815\pi$
$762$	−29.3402	+	21.3169i	−1.06288	+	0.772229i
$763$	37.2909	+	27.0934i	1.35002	+	0.980848i
$764$	11.8317	+	36.4142i	0.428055	+	1.31742i
$765$	1.88597	+	5.80442i	0.0681874	+	0.209859i
$766$	−47.7574	−	34.6978i	−1.72555	−	1.25368i
$767$	−2.11777	+	1.53865i	−0.0764682	+	0.0555574i
$768$	8.78578	−	27.0399i	0.317030	−	0.975717i
$769$	7.60170			0.274124			0.137062	−	0.990562i	$-0.456234\pi$
$769$	7.60170			0.274124			0.137062	+	0.990562i	$0.456234\pi$
$770$	34.1320	−	9.76172i	1.23003	−	0.351788i
$771$	25.1227			0.904773
$772$	−38.0136	+	116.994i	−1.36814	+	4.21070i
$773$	−33.0508	+	24.0128i	−1.18875	+	0.863680i	−0.993132	−	0.117000i	$-0.962672\pi$
$773$	−33.0508	+	24.0128i	−1.18875	+	0.863680i	−0.195621	+	0.980680i	$0.562672\pi$
$774$	0.385971	+	0.280424i	0.0138734	+	0.0100796i
$775$	−0.616669	−	1.89791i	−0.0221514	−	0.0681750i
$776$	−21.8969	−	67.3917i	−0.786052	−	2.41922i
$777$	−25.9346	−	18.8426i	−0.930400	−	0.675975i
$778$	8.37491	−	6.08473i	0.300255	−	0.218148i
$779$	2.29548	−	7.06476i	0.0822441	−	0.253121i
$780$	−22.2526			−0.796772
$781$	34.3256	+	12.5203i	1.22827	+	0.448012i
$782$	−48.0793			−1.71931
$783$	1.11266	−	3.42443i	0.0397634	−	0.122379i
$784$	−62.7910	+	45.6204i	−2.24254	+	1.62930i
$785$	−9.04866	−	6.57424i	−0.322960	−	0.234645i
$786$	−11.5668	−	35.5991i	−0.412576	−	1.26978i
$787$	−7.35278	−	22.6295i	−0.262098	−	0.806656i	−0.992348	−	0.123475i	$-0.960596\pi$
$787$	−7.35278	−	22.6295i	−0.262098	−	0.806656i	0.730249	−	0.683181i	$-0.239404\pi$
$788$	78.6853	+	57.1682i	2.80305	+	2.03653i
$789$	−11.1879	+	8.12851i	−0.398301	+	0.289383i
$790$	−9.87728	+	30.3991i	−0.351418	+	1.08155i
$791$	−60.1342			−2.13813
$792$	−19.9589	−	7.28005i	−0.709210	−	0.258685i
$793$	−40.2058			−1.42775
$794$	−18.3089	+	56.3491i	−0.649759	+	1.99975i
$795$	5.02882	−	3.65365i	0.178354	−	0.129582i
$796$	−84.9939	−	61.7517i	−3.01253	−	2.18873i
$797$	−3.00264	−	9.24118i	−0.106359	−	0.327339i	0.883688	−	0.468076i	$-0.155053\pi$
$797$	−3.00264	−	9.24118i	−0.106359	−	0.327339i	−0.990047	+	0.140737i	$0.955053\pi$
$798$	−8.30381	−	25.5565i	−0.293952	−	0.904690i
$799$	27.4724	+	19.9599i	0.971904	+	0.706130i
$800$	−4.75303	+	3.45328i	−0.168045	+	0.122092i
$801$	−0.165594	+	0.509647i	−0.00585098	+	0.0180075i
$802$	5.73158			0.202389
$803$	0.142449	−	0.0407402i	0.00502690	−	0.00143769i
$804$	29.9574			1.05652
$805$	4.00232	−	12.3179i	0.141063	−	0.434148i
$806$	−20.3232	+	14.7657i	−0.715854	+	0.520098i
$807$	−6.92194	−	5.02908i	−0.243664	−	0.177032i
$808$	−12.0242	−	37.0066i	−0.423009	−	1.30189i
$809$	−1.50305	−	4.62592i	−0.0528445	−	0.162639i	0.921151	−	0.389205i	$-0.127250\pi$
$809$	−1.50305	−	4.62592i	−0.0528445	−	0.162639i	−0.973996	+	0.226566i	$0.927250\pi$
$810$	2.06426	+	1.49977i	0.0725307	+	0.0526966i
$811$	26.7970	−	19.4692i	0.940971	−	0.683655i	−0.00768331	−	0.999970i	$-0.502446\pi$
$811$	26.7970	−	19.4692i	0.940971	−	0.683655i	0.948654	+	0.316315i	$0.102446\pi$
$812$	21.0532	−	64.7951i	0.738822	−	2.27386i
$813$	9.15169			0.320964
$814$	2.30147	−	64.6279i	0.0806666	−	2.26521i
$815$	−0.859052			−0.0300913
$816$	13.8119	−	42.5087i	0.483514	−	1.48810i
$817$	−0.379757	+	0.275910i	−0.0132860	+	0.00965285i
$818$	65.6166	+	47.6732i	2.29423	+	1.66686i
$819$	6.39545	+	19.6832i	0.223475	+	0.687785i
$820$	4.12419	+	12.6930i	0.144023	+	0.443257i
$821$	−15.4336	−	11.2132i	−0.538638	−	0.391343i	0.284941	−	0.958545i	$-0.408026\pi$
$821$	−15.4336	−	11.2132i	−0.538638	−	0.391343i	−0.823579	+	0.567202i	$0.808026\pi$
$822$	−17.7740	+	12.9136i	−0.619940	+	0.450412i
$823$	12.4658	−	38.3659i	0.434532	−	1.33735i	−0.459034	−	0.888419i	$-0.651805\pi$
$823$	12.4658	−	38.3659i	0.434532	−	1.33735i	0.893566	−	0.448932i	$-0.148195\pi$
$824$	−50.9997			−1.77666
$825$	−1.85274	−	2.75088i	−0.0645040	−	0.0957735i
$826$	5.67937			0.197611
$827$	9.24144	−	28.4422i	0.321356	−	0.989033i	−0.651702	−	0.758475i	$-0.725945\pi$
$827$	9.24144	−	28.4422i	0.321356	−	0.989033i	0.973059	−	0.230558i	$-0.0740552\pi$
$828$	−11.2662	+	8.18541i	−0.391529	+	0.284463i
$829$	−41.8105	−	30.3771i	−1.45214	−	1.05504i	−0.985326	−	0.170686i	$-0.945402\pi$
$829$	−41.8105	−	30.3771i	−1.45214	−	1.05504i	−0.466814	−	0.884355i	$-0.654598\pi$
$830$	5.09965	+	15.6951i	0.177011	+	0.544785i
$831$	5.91921	+	18.2174i	0.205335	+	0.631956i
$832$	1.37148	+	0.996439i	0.0475475	+	0.0345453i
$833$	52.3276	−	38.0183i	1.81305	−	1.31725i
$834$	2.94170	−	9.05362i	0.101863	−	0.313501i
$835$	−18.8792			−0.653342
$836$	23.1421	−	29.5784i	0.800385	−	1.02299i
$837$	1.99558			0.0689774
$838$	−6.05492	+	18.6351i	−0.209164	+	0.643740i
$839$	−7.34047	+	5.33317i	−0.253421	+	0.184121i	−0.707242	−	0.706972i	$-0.750061\pi$
$839$	−7.34047	+	5.33317i	−0.253421	+	0.184121i	0.453820	+	0.891093i	$0.350061\pi$
$840$	21.7397	+	15.7948i	0.750090	+	0.544972i
$841$	−4.95517	−	15.2505i	−0.170868	−	0.525878i
$842$	−16.8922	−	51.9888i	−0.582143	−	1.79165i
$843$	13.3771	+	9.71906i	0.460733	+	0.334742i
$844$	−23.6906	+	17.2122i	−0.815464	+	0.592469i
$845$	−3.50417	+	10.7847i	−0.120547	+	0.371006i
$846$	14.1969			0.488099
$847$	17.3452	−	42.7609i	0.595987	−	1.46928i
$848$	−45.5226			−1.56325
$849$	−6.22928	+	19.1717i	−0.213788	+	0.657972i
$850$	12.5984	−	9.15331i	0.432123	−	0.313956i
$851$	−19.0875	−	13.8678i	−0.654310	−	0.475384i
$852$	15.3551	+	47.2580i	0.526055	+	1.61903i
$853$	4.83009	+	14.8655i	0.165379	+	0.508985i	0.999064	−	0.0432558i	$-0.0137731\pi$
$853$	4.83009	+	14.8655i	0.165379	+	0.508985i	−0.833685	+	0.552240i	$0.813773\pi$
$854$	70.5709	+	51.2727i	2.41489	+	1.75452i
$855$	−2.03103	+	1.47563i	−0.0694596	+	0.0504654i
$856$	−0.0867210	+	0.266900i	−0.00296406	+	0.00912245i
$857$	−44.3092			−1.51357			−0.756787	−	0.653662i	$-0.773232\pi$
$857$	−44.3092			−1.51357			−0.756787	+	0.653662i	$0.773232\pi$
$858$	−25.7268	+	32.8821i	−0.878299	+	1.12257i
$859$	−12.3194			−0.420332			−0.210166	−	0.977666i	$-0.567400\pi$
$859$	−12.3194			−0.420332			−0.210166	+	0.977666i	$0.567400\pi$
$860$	0.260613	−	0.802084i	0.00888683	−	0.0273508i
$861$	10.0420	−	7.29596i	0.342232	−	0.248646i
$862$	−13.9871	−	10.1622i	−0.476401	−	0.346126i
$863$	−10.1673	−	31.2917i	−0.346099	−	1.06518i	−0.960993	−	0.276573i	$-0.910801\pi$
$863$	−10.1673	−	31.2917i	−0.346099	−	1.06518i	0.614894	−	0.788610i	$-0.289199\pi$
$864$	−1.81550	−	5.58753i	−0.0617645	−	0.190091i
$865$	7.95229	+	5.77768i	0.270386	+	0.196447i
$866$	−41.2556	+	29.9740i	−1.40192	+	1.01856i
$867$	−6.25704	+	19.2572i	−0.212500	+	0.654008i
$868$	37.7593			1.28163
$869$	23.2093	+	34.4604i	0.787322	+	1.16899i
$870$	−9.18731			−0.311479
$871$	10.1256	−	31.1635i	0.343094	−	1.05593i
$872$	−56.9425	+	41.3712i	−1.92832	+	1.40100i
$873$	8.94939	+	6.50211i	0.302891	+	0.220063i
$874$	−6.11146	−	18.8091i	−0.206723	−	0.636229i
$875$	1.29632	+	3.98967i	0.0438237	+	0.134875i
$876$	0.163011	+	0.118434i	0.00550762	+	0.00400152i
$877$	−29.9105	+	21.7312i	−1.01001	+	0.733812i	−0.964210	−	0.265139i	$-0.914582\pi$
$877$	−29.9105	+	21.7312i	−1.01001	+	0.733812i	−0.0457949	+	0.998951i	$0.514582\pi$
$878$	26.9807	−	83.0380i	0.910554	−	2.80240i
$879$	32.9126			1.11011
$880$	−0.864423	+	24.2739i	−0.0291397	+	0.818274i
$881$	30.9007			1.04107			0.520536	−	0.853840i	$-0.325732\pi$
$881$	30.9007			1.04107			0.520536	+	0.853840i	$0.325732\pi$
$882$	8.35622	−	25.7178i	0.281369	−	0.865963i
$883$	13.7352	−	9.97924i	0.462228	−	0.335828i	−0.332177	−	0.943217i	$-0.607783\pi$
$883$	13.7352	−	9.97924i	0.462228	−	0.335828i	0.794405	+	0.607389i	$0.207783\pi$
$884$	−109.873	−	79.8275i	−3.69543	−	2.68489i
$885$	−0.163963	−	0.504625i	−0.00551155	−	0.0169628i
$886$	−20.6698	−	63.6150i	−0.694414	−	2.13719i
$887$	7.01917	+	5.09973i	0.235681	+	0.171232i	0.699357	−	0.714773i	$-0.253470\pi$
$887$	7.01917	+	5.09973i	0.235681	+	0.171232i	−0.463676	+	0.886005i	$0.653470\pi$
$888$	39.6017	−	28.7723i	1.32895	−	0.965536i
$889$	18.4252	−	56.7068i	0.617960	−	1.90189i
$890$	1.36732			0.0458326
$891$	3.18877	−	0.911987i	0.106828	−	0.0305527i
$892$	27.8402			0.932159
$893$	−4.31645	+	13.2847i	−0.144444	+	0.444554i
$894$	20.5652	−	14.9415i	0.687804	−	0.499719i
$895$	14.8057	+	10.7570i	0.494900	+	0.359566i
$896$	14.0954	+	43.3812i	0.470895	+	1.44927i
$897$	4.70694	+	14.4865i	0.157160	+	0.483689i
$898$	−51.2030	−	37.2011i	−1.70866	−	1.24142i
$899$	−5.81311	+	4.22347i	−0.193878	+	0.140861i
$900$	1.39382	−	4.28973i	0.0464606	−	0.142991i
$901$	37.9368			1.26386
$902$	23.5241	+	8.58044i	0.783267	+	0.285698i
$903$	−0.784370			−0.0261022
$904$	28.3751	−	87.3297i	0.943743	−	2.90454i
$905$	−7.96414	+	5.78629i	−0.264737	+	0.192343i
$906$	−30.8028	−	22.3796i	−1.02335	−	0.743511i
$907$	−15.2679	−	46.9899i	−0.506964	−	1.56027i	−0.797444	−	0.603392i	$-0.793815\pi$
$907$	−15.2679	−	46.9899i	−0.506964	−	1.56027i	0.290481	−	0.956881i	$-0.406185\pi$
$908$	22.0689	+	67.9212i	0.732384	+	2.25404i
$909$	4.91436	+	3.57049i	0.162999	+	0.118426i
$910$	42.7221	−	31.0394i	1.41622	−	1.02895i
$911$	−17.6953	+	54.4606i	−0.586272	+	1.80436i	0.00782911	+	0.999969i	$0.497508\pi$
$911$	−17.6953	+	54.4606i	−0.586272	+	1.80436i	−0.594101	+	0.804390i	$0.702492\pi$
$912$	18.3856			0.608807
$913$	20.1523	+	7.35057i	0.666943	+	0.243268i
$914$	9.80358			0.324274
$915$	2.51833	−	7.75063i	0.0832535	−	0.256228i
$916$	−67.7942	+	49.2553i	−2.23998	+	1.62744i
$917$	49.7868	+	36.1722i	1.64410	+	1.19451i
$918$	4.81218	+	14.8104i	0.158826	+	0.488815i
$919$	2.79180	+	8.59229i	0.0920931	+	0.283433i	0.986485	−	0.163850i	$-0.0523914\pi$
$919$	2.79180	+	8.59229i	0.0920931	+	0.283433i	−0.894392	+	0.447284i	$0.852391\pi$
$920$	16.0000	+	11.6247i	0.527505	+	0.383255i
$921$	20.7299	−	15.0611i	0.683072	−	0.496281i
$922$	8.93048	−	27.4852i	0.294110	−	0.905176i
$923$	54.3505			1.78897
$924$	60.3362	−	17.2561i	1.98491	−	0.567684i
$925$	7.64174			0.251259
$926$	−12.9059	+	39.7204i	−0.424115	+	1.30529i
$927$	6.44111	−	4.67974i	0.211554	−	0.153703i
$928$	17.1140	+	12.4341i	0.561796	+	0.408169i
$929$	5.82536	+	17.9286i	0.191124	+	0.588219i	1.00000		0.000239619i	$7.62732e-5\pi$
$929$	5.82536	+	17.9286i	0.191124	+	0.588219i	−0.808876	+	0.587979i	$0.799924\pi$
$930$	−1.57347	−	4.84264i	−0.0515961	−	0.158797i
$931$	21.5247	+	15.6386i	0.705442	+	0.512534i
$932$	−11.4715	+	8.33451i	−0.375760	+	0.273006i
$933$	0.0774755	−	0.238445i	0.00253644	−	0.00780635i
$934$	30.5371			0.999203
$935$	0.720377	−	20.2290i	0.0235588	−	0.661558i
$936$	−31.6026			−1.03296
$937$	−16.7034	+	51.4079i	−0.545677	+	1.67942i	0.173697	+	0.984799i	$0.444429\pi$
$937$	−16.7034	+	51.4079i	−0.545677	+	1.67942i	−0.719374	+	0.694623i	$0.755571\pi$
$938$	−57.5144	+	41.7867i	−1.87791	+	1.36438i
$939$	−10.2264	−	7.42995i	−0.333727	−	0.242467i
$940$	−7.75519	−	23.8680i	−0.252946	−	0.778489i
$941$	0.423533	+	1.30350i	0.0138068	+	0.0424929i	0.957723	−	0.287693i	$-0.0928884\pi$
$941$	0.423533	+	1.30350i	0.0138068	+	0.0424929i	−0.943916	+	0.330186i	$0.892888\pi$
$942$	−23.0882	−	16.7746i	−0.752256	−	0.546546i
$943$	7.39076	−	5.36970i	0.240676	−	0.174862i
$944$	−1.20078	+	3.69563i	−0.0390821	+	0.120282i
$945$	−4.19499			−0.136463
$946$	−0.883916	−	1.31241i	−0.0287386	−	0.0426701i
$947$	−56.2685			−1.82848			−0.914240	−	0.405172i	$-0.867212\pi$
$947$	−56.2685			−1.82848			−0.914240	+	0.405172i	$0.867212\pi$
$948$	−17.4604	+	53.7376i	−0.567087	+	1.74532i
$949$	0.178300	−	0.129542i	0.00578785	−	0.00420512i
$950$	5.18229	+	3.76516i	0.168136	+	0.122158i
$951$	7.94323	+	24.4467i	0.257577	+	0.792740i
$952$	50.6792	+	155.975i	1.64252	+	5.05517i
$953$	−12.4081	−	9.01499i	−0.401937	−	0.292024i	0.368393	−	0.929670i	$-0.379908\pi$
$953$	−12.4081	−	9.01499i	−0.401937	−	0.292024i	−0.770329	+	0.637646i	$0.779908\pi$
$954$	12.8314	−	9.32252i	0.415430	−	0.301828i
$955$	−2.62315	+	8.07322i	−0.0848831	+	0.261243i
$956$	−5.04172			−0.163061
$957$	−7.35873	+	9.40537i	−0.237874	+	0.304032i
$958$	62.5315			2.02030
$959$	11.1618	−	34.3525i	0.360433	−	1.10930i
$960$	−0.277992	+	0.201973i	−0.00897214	+	0.00651864i
$961$	21.8577	+	15.8806i	0.705088	+	0.512277i
$962$	−29.7262	−	91.4877i	−0.958410	−	2.94968i
$963$	−0.0135382	−	0.0416662i	−0.000436262	−	0.00134268i
$964$	52.7009	+	38.2895i	1.69738	+	1.23322i
$965$	−22.0644	+	16.0307i	−0.710277	+	0.516047i
$966$	10.2122	−	31.4298i	0.328571	−	1.01124i
$967$	−42.0912			−1.35356			−0.676782	−	0.736184i	$-0.736626\pi$
$967$	−42.0912			−1.35356			−0.676782	+	0.736184i	$0.736626\pi$
$968$	53.9148	+	45.3667i	1.73289	+	1.45814i
$969$	−15.3218			−0.492208
$970$	8.72217	−	26.8441i	0.280052	−	0.861912i
$971$	−13.9134	+	10.1087i	−0.446503	+	0.324403i	−0.788214	−	0.615402i	$-0.788994\pi$
$971$	−13.9134	+	10.1087i	−0.446503	+	0.324403i	0.341711	+	0.939805i	$0.388994\pi$
$972$	3.64906	+	2.65120i	0.117044	+	0.0850372i
$973$	4.83640	+	14.8849i	0.155048	+	0.477188i
$974$	28.9951	+	89.2377i	0.929062	+	2.85936i
$975$	−3.99131	−	2.89986i	−0.127824	−	0.0928697i
$976$	−48.2844	+	35.0807i	−1.54555	+	1.12291i
$977$	0.187499	−	0.577064i	0.00599864	−	0.0184619i	−0.948012	−	0.318233i	$-0.896910\pi$
$977$	0.187499	−	0.577064i	0.00599864	−	0.0184619i	0.954011	+	0.299771i	$0.0969104\pi$
$978$	−2.19193			−0.0700901
$979$	1.09518	−	1.39977i	0.0350020	−	0.0447369i
$980$	−47.8018			−1.52697
$981$	3.39545	−	10.4501i	0.108408	−	0.333646i
$982$	12.0644	−	8.76528i	0.384989	−	0.279711i
$983$	26.3632	+	19.1540i	0.840855	+	0.610917i	0.922609	−	0.385736i	$-0.126052\pi$
$983$	26.3632	+	19.1540i	0.840855	+	0.610917i	−0.0817544	+	0.996653i	$0.526052\pi$
$984$	5.85706	+	18.0262i	0.186716	+	0.574654i
$985$	6.66339	+	20.5078i	0.212313	+	0.653433i
$986$	−45.3627	−	32.9579i	−1.44464	−	1.04959i
$987$	−18.8832	+	13.7194i	−0.601058	+	0.436694i
$988$	17.2632	−	53.1307i	0.549215	−	1.69031i
$989$	−0.577283			−0.0183565
$990$	−4.72738	−	7.01906i	−0.150246	−	0.223080i
$991$	−19.8486			−0.630512			−0.315256	−	0.949007i	$-0.602090\pi$
$991$	−19.8486			−0.630512			−0.315256	+	0.949007i	$0.602090\pi$
$992$	−3.62297	+	11.1504i	−0.115030	+	0.354024i
$993$	−24.5005	+	17.8007i	−0.777501	+	0.564888i
$994$	−95.3983	−	69.3109i	−3.02585	−	2.19841i
$995$	−7.19763	−	22.1520i	−0.228180	−	0.702266i
$996$	9.01481	+	27.7447i	0.285645	+	0.879126i
$997$	−21.1348	−	15.3554i	−0.669347	−	0.486309i	0.200459	−	0.979702i	$-0.435757\pi$
$997$	−21.1348	−	15.3554i	−0.669347	−	0.486309i	−0.869807	+	0.493393i	$0.835757\pi$
$998$	−0.395164	+	0.287104i	−0.0125087	+	0.00908811i
$999$	−2.36143	+	7.26772i	−0.0747122	+	0.229941i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.m.b.31.2	yes	8
3.2	odd	2		495.2.n.b.361.1		8
5.2	odd	4		825.2.bx.g.724.4		16
5.3	odd	4		825.2.bx.g.724.1		16
5.4	even	2		825.2.n.i.526.1		8
11.4	even	5		1815.2.a.v.1.4		4
11.5	even	5	inner	165.2.m.b.16.2	✓	8
11.7	odd	10		1815.2.a.r.1.1		4
33.5	odd	10		495.2.n.b.181.1		8
33.26	odd	10		5445.2.a.bk.1.1		4
33.29	even	10		5445.2.a.br.1.4		4
55.4	even	10		9075.2.a.cq.1.1		4
55.27	odd	20		825.2.bx.g.49.1		16
55.29	odd	10		9075.2.a.dg.1.4		4
55.38	odd	20		825.2.bx.g.49.4		16
55.49	even	10		825.2.n.i.676.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.m.b.16.2	✓	8	11.5	even	5	inner
165.2.m.b.31.2	yes	8	1.1	even	1	trivial
495.2.n.b.181.1		8	33.5	odd	10
495.2.n.b.361.1		8	3.2	odd	2
825.2.n.i.526.1		8	5.4	even	2
825.2.n.i.676.1		8	55.49	even	10
825.2.bx.g.49.1		16	55.27	odd	20
825.2.bx.g.49.4		16	55.38	odd	20
825.2.bx.g.724.1		16	5.3	odd	4
825.2.bx.g.724.4		16	5.2	odd	4
1815.2.a.r.1.1		4	11.7	odd	10
1815.2.a.v.1.4		4	11.4	even	5
5445.2.a.bk.1.1		4	33.26	odd	10
5445.2.a.br.1.4		4	33.29	even	10
9075.2.a.cq.1.1		4	55.4	even	10
9075.2.a.dg.1.4		4	55.29	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.m (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.788477 - 2.42668i) q^{2} +(0.809017 - 0.587785i) q^{3} +(-3.64906 - 2.65120i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(-0.788477 - 2.42668i) q^{6} +(3.39382 + 2.46575i) q^{7} +(-5.18229 + 3.76516i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.788477 - 2.42668i) q^{2} +(0.809017 - 0.587785i) q^{3} +(-3.64906 - 2.65120i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(-0.788477 - 2.42668i) q^{6} +(3.39382 + 2.46575i) q^{7} +(-5.18229 + 3.76516i) q^{8} +(0.309017 - 0.951057i) q^{9} -2.55157 q^{10} +(-2.04372 + 2.61213i) q^{11} -4.51049 q^{12} +(-1.52455 + 4.69207i) q^{13} +(8.65954 - 6.29153i) q^{14} +(-0.809017 - 0.587785i) q^{15} +(2.26309 + 6.96507i) q^{16} +(-1.88597 - 5.80442i) q^{17} +(-2.06426 - 1.49977i) q^{18} +(2.03103 - 1.47563i) q^{19} +(-1.39382 + 4.28973i) q^{20} +4.19499 q^{21} +(4.72738 + 7.01906i) q^{22} +3.08744 q^{23} +(-1.97946 + 6.09215i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(10.1841 + 7.39917i) q^{26} +(-0.309017 - 0.951057i) q^{27} +(-5.84704 - 17.9954i) q^{28} +(2.91299 + 2.11641i) q^{29} +(-2.06426 + 1.49977i) q^{30} +(-0.616669 + 1.89791i) q^{31} +5.87507 q^{32} +(-0.118034 + 3.31452i) q^{33} -15.5725 q^{34} +(1.29632 - 3.98967i) q^{35} +(-3.64906 + 2.65120i) q^{36} +(-6.18229 - 4.49170i) q^{37} +(-1.97946 - 6.09215i) q^{38} +(1.52455 + 4.69207i) q^{39} +(5.18229 + 3.76516i) q^{40} +(2.39382 - 1.73921i) q^{41} +(3.30765 - 10.1799i) q^{42} -0.186978 q^{43} +(14.3829 - 4.11350i) q^{44} -1.00000 q^{45} +(2.43438 - 7.49224i) q^{46} +(-4.50137 + 3.27043i) q^{47} +(5.92484 + 4.30465i) q^{48} +(3.27494 + 10.0792i) q^{49} +(0.788477 + 2.42668i) q^{50} +(-4.93754 - 3.58733i) q^{51} +(18.0027 - 13.0798i) q^{52} +(-1.92084 + 5.91173i) q^{53} -2.55157 q^{54} +(3.11582 + 1.13650i) q^{55} -26.8717 q^{56} +(0.775783 - 2.38761i) q^{57} +(7.43269 - 5.40016i) q^{58} +(0.429260 + 0.311876i) q^{59} +(1.39382 + 4.28973i) q^{60} +(2.51833 + 7.75063i) q^{61} +(4.11940 + 2.99292i) q^{62} +(3.39382 - 2.46575i) q^{63} +(0.106183 - 0.326799i) q^{64} +4.93353 q^{65} +(7.95023 + 2.89986i) q^{66} -6.64174 q^{67} +(-8.50664 + 26.1808i) q^{68} +(2.49779 - 1.81475i) q^{69} +(-8.65954 - 6.29153i) q^{70} +(-3.40430 - 10.4774i) q^{71} +(1.97946 + 6.09215i) q^{72} +(-0.0361403 - 0.0262575i) q^{73} +(-15.7745 + 11.4609i) q^{74} +(-0.309017 + 0.951057i) q^{75} -11.3235 q^{76} +(-13.3769 + 3.82578i) q^{77} +12.5882 q^{78} +(3.87107 - 11.9139i) q^{79} +(5.92484 - 4.30465i) q^{80} +(-0.809017 - 0.587785i) q^{81} +(-2.33304 - 7.18036i) q^{82} +(-1.99863 - 6.15117i) q^{83} +(-15.3078 - 11.1217i) q^{84} +(-4.93754 + 3.58733i) q^{85} +(-0.147428 + 0.453736i) q^{86} +3.60066 q^{87} +(0.756086 - 21.2317i) q^{88} -0.535874 q^{89} +(-0.788477 + 2.42668i) q^{90} +(-16.7435 + 12.1649i) q^{91} +(-11.2662 - 8.18541i) q^{92} +(0.616669 + 1.89791i) q^{93} +(4.38708 + 13.5020i) q^{94} +(-2.03103 - 1.47563i) q^{95} +(4.75303 - 3.45328i) q^{96} +(-3.41836 + 10.5206i) q^{97} +27.0413 q^{98} +(1.85274 + 2.75088i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 2 q^{5} - 2 q^{6} + 9 q^{7} - 19 q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 2 * q^5 - 2 * q^6 + 9 * q^7 - 19 * q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 2 q^{5} - 2 q^{6} + 9 q^{7} - 19 q^{8} - 2 q^{9} - 2 q^{10} - 3 q^{11} - 18 q^{12} + 10 q^{13} + 24 q^{14} - 2 q^{15} + 4 q^{16} - 2 q^{17} - 3 q^{18} - 2 q^{19} + 7 q^{20} + 16 q^{21} - 7 q^{22} - 2 q^{23} - 16 q^{24} - 2 q^{25} + 14 q^{26} + 2 q^{27} + 13 q^{28} + 14 q^{29} - 3 q^{30} - 5 q^{31} - 16 q^{32} + 8 q^{33} - 70 q^{34} + q^{35} - 2 q^{36} - 27 q^{37} - 16 q^{38} - 10 q^{39} + 19 q^{40} + q^{41} + 31 q^{42} - 28 q^{43} + 47 q^{44} - 8 q^{45} + 42 q^{46} - 27 q^{47} + 11 q^{48} - 15 q^{49} + 2 q^{50} - 8 q^{51} + 22 q^{52} - q^{53} - 2 q^{54} - 7 q^{55} - 24 q^{56} - 3 q^{57} + 18 q^{58} + 13 q^{59} - 7 q^{60} - 3 q^{61} + 15 q^{62} + 9 q^{63} + 19 q^{64} + 30 q^{65} + 37 q^{66} + 10 q^{67} - 33 q^{68} - 3 q^{69} - 24 q^{70} + 9 q^{71} + 16 q^{72} + 5 q^{73} - 17 q^{74} + 2 q^{75} - 46 q^{76} + q^{77} + 36 q^{78} - 10 q^{79} + 11 q^{80} - 2 q^{81} - 33 q^{82} - 25 q^{83} - 18 q^{84} - 8 q^{85} + 20 q^{86} - 34 q^{87} + 29 q^{88} + 4 q^{89} - 2 q^{90} - 43 q^{91} - 22 q^{92} + 5 q^{93} + 57 q^{94} + 2 q^{95} + 6 q^{96} + 13 q^{97} - 2 q^{98} - 3 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 2 * q^5 - 2 * q^6 + 9 * q^7 - 19 * q^8 - 2 * q^9 - 2 * q^10 - 3 * q^11 - 18 * q^12 + 10 * q^13 + 24 * q^14 - 2 * q^15 + 4 * q^16 - 2 * q^17 - 3 * q^18 - 2 * q^19 + 7 * q^20 + 16 * q^21 - 7 * q^22 - 2 * q^23 - 16 * q^24 - 2 * q^25 + 14 * q^26 + 2 * q^27 + 13 * q^28 + 14 * q^29 - 3 * q^30 - 5 * q^31 - 16 * q^32 + 8 * q^33 - 70 * q^34 + q^35 - 2 * q^36 - 27 * q^37 - 16 * q^38 - 10 * q^39 + 19 * q^40 + q^41 + 31 * q^42 - 28 * q^43 + 47 * q^44 - 8 * q^45 + 42 * q^46 - 27 * q^47 + 11 * q^48 - 15 * q^49 + 2 * q^50 - 8 * q^51 + 22 * q^52 - q^53 - 2 * q^54 - 7 * q^55 - 24 * q^56 - 3 * q^57 + 18 * q^58 + 13 * q^59 - 7 * q^60 - 3 * q^61 + 15 * q^62 + 9 * q^63 + 19 * q^64 + 30 * q^65 + 37 * q^66 + 10 * q^67 - 33 * q^68 - 3 * q^69 - 24 * q^70 + 9 * q^71 + 16 * q^72 + 5 * q^73 - 17 * q^74 + 2 * q^75 - 46 * q^76 + q^77 + 36 * q^78 - 10 * q^79 + 11 * q^80 - 2 * q^81 - 33 * q^82 - 25 * q^83 - 18 * q^84 - 8 * q^85 + 20 * q^86 - 34 * q^87 + 29 * q^88 + 4 * q^89 - 2 * q^90 - 43 * q^91 - 22 * q^92 + 5 * q^93 + 57 * q^94 + 2 * q^95 + 6 * q^96 + 13 * q^97 - 2 * q^98 - 3 * q^99

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