LMFDB - Embedded newform 165.2.m.c.136.2

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:	$\Q(\zeta_{15})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 $ x^8 - x^7 + x^5 - x^4 + x^3 - x + 1
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			136.2
Root			$0.669131 + 0.743145i$ of defining polynomial
Character	$\chi$	$=$	165.136
Dual form			165.2.m.c.91.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.58268 + 1.14988i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.564602 + 1.73767i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(-1.58268 + 1.14988i) q^{6} +(0.478148 + 1.47159i) q^{7} +(0.104528 - 0.321706i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(1.58268 + 1.14988i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.564602 + 1.73767i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(-1.58268 + 1.14988i) q^{6} +(0.478148 + 1.47159i) q^{7} +(0.104528 - 0.321706i) q^{8} +(-0.809017 - 0.587785i) q^{9} -1.95630 q^{10} +(3.11426 + 1.14079i) q^{11} -1.82709 q^{12} +(-3.36245 - 2.44296i) q^{13} +(-0.935398 + 2.87886i) q^{14} +(-0.309017 - 0.951057i) q^{15} +(3.49165 - 2.53683i) q^{16} +(-0.599960 + 0.435897i) q^{17} +(-0.604528 - 1.86055i) q^{18} +(2.31184 - 7.11511i) q^{19} +(-1.47815 - 1.07394i) q^{20} -1.54732 q^{21} +(3.61708 + 5.38653i) q^{22} -1.15622 q^{23} +(0.273659 + 0.198825i) q^{24} +(0.309017 - 0.951057i) q^{25} +(-2.51255 - 7.73284i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-2.28716 + 1.66172i) q^{28} +(2.12776 + 6.54858i) q^{29} +(0.604528 - 1.86055i) q^{30} +(-5.48176 - 3.98273i) q^{31} +7.76669 q^{32} +(-2.04732 + 2.60931i) q^{33} -1.45077 q^{34} +(-1.25181 - 0.909491i) q^{35} +(0.564602 - 1.73767i) q^{36} +(1.21139 + 3.72828i) q^{37} +(11.8404 - 8.60258i) q^{38} +(3.36245 - 2.44296i) q^{39} +(0.104528 + 0.321706i) q^{40} +(0.0106821 - 0.0328761i) q^{41} +(-2.44890 - 1.77923i) q^{42} -11.1726 q^{43} +(-0.224006 + 6.05563i) q^{44} +1.00000 q^{45} +(-1.82991 - 1.32951i) q^{46} +(-2.17603 + 6.69714i) q^{47} +(1.33369 + 4.10468i) q^{48} +(3.72618 - 2.70723i) q^{49} +(1.58268 - 1.14988i) q^{50} +(-0.229164 - 0.705295i) q^{51} +(2.34661 - 7.22212i) q^{52} +(0.990108 + 0.719355i) q^{53} +1.95630 q^{54} +(-3.19003 + 0.907591i) q^{55} +0.523398 q^{56} +(6.05248 + 4.39738i) q^{57} +(-4.16253 + 12.8109i) q^{58} +(-1.33166 - 4.09843i) q^{59} +(1.47815 - 1.07394i) q^{60} +(-5.30301 + 3.85286i) q^{61} +(-4.09618 - 12.6068i) q^{62} +(0.478148 - 1.47159i) q^{63} +(5.30885 + 3.85711i) q^{64} +4.15622 q^{65} +(-6.24064 + 1.77552i) q^{66} -3.55199 q^{67} +(-1.09618 - 0.796423i) q^{68} +(0.357290 - 1.09963i) q^{69} +(-0.935398 - 2.87886i) q^{70} +(-4.76153 + 3.45946i) q^{71} +(-0.273659 + 0.198825i) q^{72} +(1.41493 + 4.35469i) q^{73} +(-2.36984 + 7.29362i) q^{74} +(0.809017 + 0.587785i) q^{75} +13.6690 q^{76} +(-0.189705 + 5.12837i) q^{77} +8.13078 q^{78} +(-4.99777 - 3.63109i) q^{79} +(-1.33369 + 4.10468i) q^{80} +(0.309017 + 0.951057i) q^{81} +(0.0547100 - 0.0397491i) q^{82} +(12.2560 - 8.90451i) q^{83} +(-0.873619 - 2.68872i) q^{84} +(0.229164 - 0.705295i) q^{85} +(-17.6826 - 12.8471i) q^{86} -6.88558 q^{87} +(0.692528 - 0.882628i) q^{88} -17.5582 q^{89} +(1.58268 + 1.14988i) q^{90} +(1.98728 - 6.11623i) q^{91} +(-0.652802 - 2.00912i) q^{92} +(5.48176 - 3.98273i) q^{93} +(-11.1449 + 8.09723i) q^{94} +(2.31184 + 7.11511i) q^{95} +(-2.40004 + 7.38656i) q^{96} +(0.116756 + 0.0848281i) q^{97} +9.01032 q^{98} +(-1.84894 - 2.75344i) 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} - 5 q^{7} - 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 - 5 * q^7 - q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9} + 2 q^{10} - q^{11} - 2 q^{12} - 16 q^{13} - 10 q^{14} + 2 q^{15} + 12 q^{16} - 4 q^{17} - 3 q^{18} + 2 q^{19} - 3 q^{20} - 9 q^{22} + 10 q^{23} - 4 q^{24} - 2 q^{25} + 16 q^{26} + 2 q^{27} - 5 q^{28} - 16 q^{29} + 3 q^{30} - 5 q^{31} - 4 q^{33} + 34 q^{34} + 5 q^{35} + 2 q^{36} - 5 q^{37} + 28 q^{38} + 16 q^{39} - q^{40} + 5 q^{41} - 15 q^{42} - 8 q^{43} - 19 q^{44} + 8 q^{45} + 10 q^{46} - q^{47} + 3 q^{48} - 11 q^{49} + 2 q^{50} + 4 q^{51} + 26 q^{52} - 15 q^{53} - 2 q^{54} - q^{55} + 20 q^{56} + 13 q^{57} - 24 q^{58} + 3 q^{59} + 3 q^{60} - 11 q^{61} - 15 q^{62} - 5 q^{63} - 9 q^{64} + 14 q^{65} - 31 q^{66} + 6 q^{67} + 9 q^{68} + 15 q^{69} - 10 q^{70} + q^{71} + 4 q^{72} - 35 q^{73} + 5 q^{74} + 2 q^{75} + 58 q^{76} - 25 q^{77} + 24 q^{78} - 30 q^{79} - 3 q^{80} - 2 q^{81} - 25 q^{82} + 31 q^{83} - 4 q^{85} - 62 q^{86} - 34 q^{87} + 17 q^{88} - 48 q^{89} + 2 q^{90} + 5 q^{91} - 20 q^{92} + 5 q^{93} - 19 q^{94} + 2 q^{95} - 20 q^{96} + 11 q^{97} + 26 q^{98} - 11 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9 + 2 * q^10 - q^11 - 2 * q^12 - 16 * q^13 - 10 * q^14 + 2 * q^15 + 12 * q^16 - 4 * q^17 - 3 * q^18 + 2 * q^19 - 3 * q^20 - 9 * q^22 + 10 * q^23 - 4 * q^24 - 2 * q^25 + 16 * q^26 + 2 * q^27 - 5 * q^28 - 16 * q^29 + 3 * q^30 - 5 * q^31 - 4 * q^33 + 34 * q^34 + 5 * q^35 + 2 * q^36 - 5 * q^37 + 28 * q^38 + 16 * q^39 - q^40 + 5 * q^41 - 15 * q^42 - 8 * q^43 - 19 * q^44 + 8 * q^45 + 10 * q^46 - q^47 + 3 * q^48 - 11 * q^49 + 2 * q^50 + 4 * q^51 + 26 * q^52 - 15 * q^53 - 2 * q^54 - q^55 + 20 * q^56 + 13 * q^57 - 24 * q^58 + 3 * q^59 + 3 * q^60 - 11 * q^61 - 15 * q^62 - 5 * q^63 - 9 * q^64 + 14 * q^65 - 31 * q^66 + 6 * q^67 + 9 * q^68 + 15 * q^69 - 10 * q^70 + q^71 + 4 * q^72 - 35 * q^73 + 5 * q^74 + 2 * q^75 + 58 * q^76 - 25 * q^77 + 24 * q^78 - 30 * q^79 - 3 * q^80 - 2 * q^81 - 25 * q^82 + 31 * q^83 - 4 * q^85 - 62 * q^86 - 34 * q^87 + 17 * q^88 - 48 * q^89 + 2 * q^90 + 5 * q^91 - 20 * q^92 + 5 * q^93 - 19 * q^94 + 2 * q^95 - 20 * q^96 + 11 * q^97 + 26 * q^98 - 11 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	1.58268	+	1.14988i	1.11912	+	0.813089i	0.984076	−	0.177750i	$-0.0568820\pi$
$2$	1.58268	+	1.14988i	1.11912	+	0.813089i	0.135045	+	0.990839i	$0.456882\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	0.564602	+	1.73767i	0.282301	+	0.868833i
$5$	−0.809017	+	0.587785i	−0.361803	+	0.262866i
$5$	−0.809017	+	0.587785i	−0.361803	+	0.262866i
$6$	−1.58268	+	1.14988i	−0.646125	+	0.469437i
$7$	0.478148	+	1.47159i	0.180723	+	0.556208i	0.999848	−	0.0174065i	$-0.00554093\pi$
$7$	0.478148	+	1.47159i	0.180723	+	0.556208i	−0.819126	+	0.573614i	$0.805541\pi$
$8$	0.104528	−	0.321706i	0.0369564	−	0.113740i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	−1.95630			−0.618635
$11$	3.11426	+	1.14079i	0.938983	+	0.343963i
$11$	3.11426	+	1.14079i	0.938983	+	0.343963i
$12$	−1.82709			−0.527436
$13$	−3.36245	−	2.44296i	−0.932576	−	0.677556i	0.0140465	−	0.999901i	$-0.495529\pi$
$13$	−3.36245	−	2.44296i	−0.932576	−	0.677556i	−0.946622	+	0.322346i	$0.895529\pi$
$14$	−0.935398	+	2.87886i	−0.249996	+	0.769407i
$15$	−0.309017	−	0.951057i	−0.0797878	−	0.245562i
$16$	3.49165	−	2.53683i	0.872913	−	0.634209i
$17$	−0.599960	+	0.435897i	−0.145512	+	0.105720i	−0.658159	−	0.752879i	$-0.728665\pi$
$17$	−0.599960	+	0.435897i	−0.145512	+	0.105720i	0.512648	+	0.858599i	$0.328665\pi$
$18$	−0.604528	−	1.86055i	−0.142489	−	0.438535i
$19$	2.31184	−	7.11511i	0.530373	−	1.63232i	−0.223068	−	0.974803i	$-0.571607\pi$
$19$	2.31184	−	7.11511i	0.530373	−	1.63232i	0.753441	−	0.657516i	$-0.228393\pi$
$20$	−1.47815	−	1.07394i	−0.330524	−	0.240140i
$21$	−1.54732			−0.337652
$22$	3.61708	+	5.38653i	0.771164	+	1.14841i
$23$	−1.15622			−0.241088			−0.120544	−	0.992708i	$-0.538464\pi$
$23$	−1.15622			−0.241088			−0.120544	+	0.992708i	$0.538464\pi$
$24$	0.273659	+	0.198825i	0.0558604	+	0.0405850i
$25$	0.309017	−	0.951057i	0.0618034	−	0.190211i
$26$	−2.51255	−	7.73284i	−0.492752	−	1.51653i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	−2.28716	+	1.66172i	−0.432233	+	0.314036i
$29$	2.12776	+	6.54858i	0.395115	+	1.21604i	0.928872	+	0.370402i	$0.120780\pi$
$29$	2.12776	+	6.54858i	0.395115	+	1.21604i	−0.533756	+	0.845638i	$0.679220\pi$
$30$	0.604528	−	1.86055i	0.110371	−	0.339688i
$31$	−5.48176	−	3.98273i	−0.984553	−	0.715320i	−0.0258317	−	0.999666i	$-0.508223\pi$
$31$	−5.48176	−	3.98273i	−0.984553	−	0.715320i	−0.958722	+	0.284346i	$0.908223\pi$
$32$	7.76669			1.37297
$33$	−2.04732	+	2.60931i	−0.356392	+	0.454222i
$34$	−1.45077			−0.248805
$35$	−1.25181	−	0.909491i	−0.211594	−	0.153732i
$36$	0.564602	−	1.73767i	0.0941004	−	0.289611i
$37$	1.21139	+	3.72828i	0.199152	+	0.612926i	0.999903	+	0.0139288i	$0.00443383\pi$
$37$	1.21139	+	3.72828i	0.199152	+	0.612926i	−0.800751	+	0.598997i	$0.795566\pi$
$38$	11.8404	−	8.60258i	1.92077	−	1.39552i
$39$	3.36245	−	2.44296i	0.538423	−	0.391187i
$40$	0.104528	+	0.321706i	0.0165274	+	0.0508661i
$41$	0.0106821	−	0.0328761i	0.00166826	−	0.00513439i	−0.950219	−	0.311583i	$-0.899141\pi$
$41$	0.0106821	−	0.0328761i	0.00166826	−	0.00513439i	0.951887	+	0.306449i	$0.0991408\pi$
$42$	−2.44890	−	1.77923i	−0.377874	−	0.274542i
$43$	−11.1726			−1.70380			−0.851901	−	0.523703i	$-0.824550\pi$
$43$	−11.1726			−1.70380			−0.851901	+	0.523703i	$0.824550\pi$
$44$	−0.224006	+	6.05563i	−0.0337701	+	0.912921i
$45$	1.00000			0.149071
$46$	−1.82991	−	1.32951i	−0.269806	−	0.196026i
$47$	−2.17603	+	6.69714i	−0.317407	+	0.976879i	0.657345	+	0.753590i	$0.271679\pi$
$47$	−2.17603	+	6.69714i	−0.317407	+	0.976879i	−0.974752	+	0.223289i	$0.928321\pi$
$48$	1.33369	+	4.10468i	0.192502	+	0.592460i
$49$	3.72618	−	2.70723i	0.532311	−	0.386746i
$50$	1.58268	−	1.14988i	0.223824	−	0.162618i
$51$	−0.229164	−	0.705295i	−0.0320894	−	0.0987611i
$52$	2.34661	−	7.22212i	0.325416	−	1.00153i
$53$	0.990108	+	0.719355i	0.136002	+	0.0988111i	0.653706	−	0.756749i	$-0.273213\pi$
$53$	0.990108	+	0.719355i	0.136002	+	0.0988111i	−0.517704	+	0.855560i	$0.673213\pi$
$54$	1.95630			0.266218
$55$	−3.19003	+	0.907591i	−0.430143	+	0.122380i
$56$	0.523398			0.0699420
$57$	6.05248	+	4.39738i	0.801670	+	0.582447i
$58$	−4.16253	+	12.8109i	−0.546567	+	1.68216i
$59$	−1.33166	−	4.09843i	−0.173367	−	0.533570i	0.826188	−	0.563395i	$-0.190505\pi$
$59$	−1.33166	−	4.09843i	−0.173367	−	0.533570i	−0.999555	+	0.0298251i	$0.990505\pi$
$60$	1.47815	−	1.07394i	0.190828	−	0.138645i
$61$	−5.30301	+	3.85286i	−0.678980	+	0.493308i	−0.873019	−	0.487686i	$-0.837841\pi$
$61$	−5.30301	+	3.85286i	−0.678980	+	0.493308i	0.194039	+	0.980994i	$0.437841\pi$
$62$	−4.09618	−	12.6068i	−0.520216	−	1.60106i
$63$	0.478148	−	1.47159i	0.0602409	−	0.185403i
$64$	5.30885	+	3.85711i	0.663606	+	0.482138i
$65$	4.15622			0.515515
$66$	−6.24064	+	1.77552i	−0.768169	+	0.218551i
$67$	−3.55199			−0.433944			−0.216972	−	0.976178i	$-0.569618\pi$
$67$	−3.55199			−0.433944			−0.216972	+	0.976178i	$0.569618\pi$
$68$	−1.09618	−	0.796423i	−0.132932	−	0.0965804i
$69$	0.357290	−	1.09963i	0.0430127	−	0.132379i
$70$	−0.935398	−	2.87886i	−0.111801	−	0.344089i
$71$	−4.76153	+	3.45946i	−0.565090	+	0.410562i	−0.833318	−	0.552793i	$-0.813562\pi$
$71$	−4.76153	+	3.45946i	−0.565090	+	0.410562i	0.268228	+	0.963355i	$0.413562\pi$
$72$	−0.273659	+	0.198825i	−0.0322510	+	0.0234317i
$73$	1.41493	+	4.35469i	0.165605	+	0.509678i	0.999080	−	0.0428776i	$-0.0136526\pi$
$73$	1.41493	+	4.35469i	0.165605	+	0.509678i	−0.833476	+	0.552556i	$0.813653\pi$
$74$	−2.36984	+	7.29362i	−0.275488	+	0.847866i
$75$	0.809017	+	0.587785i	0.0934172	+	0.0678716i
$76$	13.6690			1.56794
$77$	−0.189705	+	5.12837i	−0.0216189	+	0.584432i
$78$	8.13078			0.920630
$79$	−4.99777	−	3.63109i	−0.562293	−	0.408530i	0.270005	−	0.962859i	$-0.412975\pi$
$79$	−4.99777	−	3.63109i	−0.562293	−	0.408530i	−0.832297	+	0.554329i	$0.812975\pi$
$80$	−1.33369	+	4.10468i	−0.149111	+	0.458918i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	0.0547100	−	0.0397491i	0.00604170	−	0.00438956i
$83$	12.2560	−	8.90451i	1.34527	−	0.977397i	0.346040	−	0.938220i	$-0.387526\pi$
$83$	12.2560	−	8.90451i	1.34527	−	0.977397i	0.999232	−	0.0391773i	$-0.0124737\pi$
$84$	−0.873619	−	2.68872i	−0.0953197	−	0.293364i
$85$	0.229164	−	0.705295i	0.0248564	−	0.0765000i
$86$	−17.6826	−	12.8471i	−1.90676	−	1.38534i
$87$	−6.88558			−0.738212
$88$	0.692528	−	0.882628i	0.0738238	−	0.0940884i
$89$	−17.5582			−1.86117			−0.930585	−	0.366076i	$-0.880701\pi$
$89$	−17.5582			−1.86117			−0.930585	+	0.366076i	$0.880701\pi$
$90$	1.58268	+	1.14988i	0.166829	+	0.121208i
$91$	1.98728	−	6.11623i	0.208324	−	0.641155i
$92$	−0.652802	−	2.00912i	−0.0680593	−	0.209465i
$93$	5.48176	−	3.98273i	0.568432	−	0.412990i
$94$	−11.1449	+	8.09723i	−1.14951	+	0.835165i
$95$	2.31184	+	7.11511i	0.237190	+	0.729995i
$96$	−2.40004	+	7.38656i	−0.244953	+	0.753888i
$97$	0.116756	+	0.0848281i	0.0118548	+	0.00861299i	0.593697	−	0.804689i	$-0.297668\pi$
$97$	0.116756	+	0.0848281i	0.0118548	+	0.00861299i	−0.581842	+	0.813302i	$0.697668\pi$
$98$	9.01032			0.910179
$99$	−1.84894	−	2.75344i	−0.185826	−	0.276731i
$100$	1.82709			0.182709
$101$	2.83215	+	2.05768i	0.281809	+	0.204746i	0.719706	−	0.694279i	$-0.244277\pi$
$101$	2.83215	+	2.05768i	0.281809	+	0.204746i	−0.437897	+	0.899025i	$0.644277\pi$
$102$	0.448313	−	1.37977i	0.0443896	−	0.136617i
$103$	3.74376	+	11.5221i	0.368884	+	1.13531i	0.947513	+	0.319717i	$0.103588\pi$
$103$	3.74376	+	11.5221i	0.368884	+	1.13531i	−0.578629	+	0.815591i	$0.696412\pi$
$104$	−1.13739	+	0.826359i	−0.111530	+	0.0810312i
$105$	1.25181	−	0.909491i	0.122164	−	0.0887572i
$106$	0.739846	+	2.27701i	0.0718602	+	0.221163i
$107$	−1.16594	+	3.58840i	−0.112716	+	0.346904i	−0.991464	−	0.130382i	$-0.958380\pi$
$107$	−1.16594	+	3.58840i	−0.112716	+	0.346904i	0.878748	+	0.477286i	$0.158380\pi$
$108$	1.47815	+	1.07394i	0.142235	+	0.103340i
$109$	18.3140			1.75416			0.877082	−	0.480341i	$-0.159487\pi$
$109$	18.3140			1.75416			0.877082	+	0.480341i	$0.159487\pi$
$110$	−6.09240	−	2.23173i	−0.580888	−	0.212787i
$111$	−3.92015			−0.372084
$112$	5.40270	+	3.92529i	0.510507	+	0.370905i
$113$	−4.42922	+	13.6317i	−0.416666	+	1.28237i	0.494086	+	0.869413i	$0.335503\pi$
$113$	−4.42922	+	13.6317i	−0.416666	+	1.28237i	−0.910752	+	0.412953i	$0.864497\pi$
$114$	4.52264	+	13.9193i	0.423584	+	1.30366i
$115$	0.935398	−	0.679606i	0.0872263	−	0.0633736i
$116$	−10.1779	+	7.39468i	−0.944995	+	0.686579i
$117$	1.28434	+	3.95280i	0.118737	+	0.365436i
$118$	2.60512	−	8.01773i	0.239821	−	0.738092i
$119$	−0.928329	−	0.674471i	−0.0850998	−	0.0618286i
$120$	−0.338261			−0.0308789
$121$	8.39717	+	7.10545i	0.763380	+	0.645950i
$122$	−12.8233			−1.16096
$123$	0.0279661	+	0.0203186i	0.00252162	+	0.00183206i
$124$	3.82565	−	11.7741i	0.343553	−	1.05735i
$125$	0.309017	+	0.951057i	0.0276393	+	0.0850651i
$126$	2.44890	−	1.77923i	0.218166	−	0.158507i
$127$	11.7023	−	8.50219i	1.03841	−	0.754447i	0.0684333	−	0.997656i	$-0.478200\pi$
$127$	11.7023	−	8.50219i	1.03841	−	0.754447i	0.969974	+	0.243209i	$0.0782000\pi$
$128$	−0.833103	−	2.56403i	−0.0736366	−	0.226630i
$129$	3.45252	−	10.6258i	0.303977	−	0.935545i
$130$	6.57794	+	4.77915i	0.576924	+	0.419160i
$131$	14.6523			1.28017			0.640087	−	0.768302i	$-0.278898\pi$
$131$	14.6523			1.28017			0.640087	+	0.768302i	$0.278898\pi$
$132$	−5.69003	−	2.08434i	−0.495253	−	0.181418i
$133$	11.5759			1.00376
$134$	−5.62165	−	4.08437i	−0.485636	−	0.352835i
$135$	−0.309017	+	0.951057i	−0.0265959	+	0.0818539i
$136$	0.0775174	+	0.238574i	0.00664706	+	0.0204576i
$137$	−8.42816	+	6.12342i	−0.720067	+	0.523159i	−0.886405	−	0.462910i	$-0.846805\pi$
$137$	−8.42816	+	6.12342i	−0.720067	+	0.523159i	0.166339	+	0.986069i	$0.446805\pi$
$138$	1.82991	−	1.32951i	0.155773	−	0.113175i
$139$	−0.535256	−	1.64735i	−0.0453998	−	0.139726i	0.925787	−	0.378045i	$-0.123404\pi$
$139$	−0.535256	−	1.64735i	−0.0453998	−	0.139726i	−0.971187	+	0.238319i	$0.923404\pi$
$140$	0.873619	−	2.68872i	0.0738343	−	0.227239i
$141$	−5.69693	−	4.13906i	−0.479768	−	0.348572i
$142$	−11.5139			−0.966228
$143$	−7.68461	−	11.4439i	−0.642619	−	0.956985i
$144$	−4.31592			−0.359660
$145$	−5.57055	−	4.04724i	−0.462609	−	0.336105i
$146$	−2.76801	+	8.51907i	−0.229082	+	0.705043i
$147$	1.42327	+	4.38038i	0.117390	+	0.361288i
$148$	−5.79456	+	4.20999i	−0.476310	+	0.346059i
$149$	10.0787	−	7.32263i	0.825682	−	0.599893i	−0.0926524	−	0.995699i	$-0.529535\pi$
$149$	10.0787	−	7.32263i	0.825682	−	0.599893i	0.918334	+	0.395805i	$0.129535\pi$
$150$	0.604528	+	1.86055i	0.0493595	+	0.151913i
$151$	5.44086	−	16.7452i	0.442771	−	1.36271i	−0.442139	−	0.896946i	$-0.645780\pi$
$151$	5.44086	−	16.7452i	0.442771	−	1.36271i	0.884910	−	0.465762i	$-0.154220\pi$
$152$	−2.04732	−	1.48746i	−0.166059	−	0.120649i
$153$	0.741591			0.0599541
$154$	−6.19725	+	7.89840i	−0.499389	+	0.636472i
$155$	6.77583			0.544248
$156$	6.14350	+	4.46351i	0.491874	+	0.357367i
$157$	4.90083	−	15.0832i	0.391129	−	1.20377i	−0.540807	−	0.841147i	$-0.681881\pi$
$157$	4.90083	−	15.0832i	0.391129	−	1.20377i	0.931936	−	0.362624i	$-0.118119\pi$
$158$	−3.73452	−	11.4937i	−0.297103	−	0.914388i
$159$	−0.990108	+	0.719355i	−0.0785207	+	0.0570486i
$160$	−6.28339	+	4.56515i	−0.496745	+	0.360907i
$161$	−0.552842	−	1.70147i	−0.0435700	−	0.134095i
$162$	−0.604528	+	1.86055i	−0.0474962	+	0.146178i
$163$	−6.89248	−	5.00768i	−0.539861	−	0.392232i	0.284172	−	0.958773i	$-0.408281\pi$
$163$	−6.89248	−	5.00768i	−0.539861	−	0.392232i	−0.824033	+	0.566541i	$0.808281\pi$
$164$	0.0631589			0.00493188
$165$	0.122602	−	3.31436i	0.00954458	−	0.258022i
$166$	29.6364			2.30023
$167$	−11.7545	−	8.54012i	−0.909588	−	0.660854i	0.0313228	−	0.999509i	$-0.490028\pi$
$167$	−11.7545	−	8.54012i	−0.909588	−	0.660854i	−0.940911	+	0.338655i	$0.890028\pi$
$168$	−0.161739	+	0.497781i	−0.0124784	+	0.0384046i
$169$	1.32078	+	4.06494i	0.101598	+	0.312687i
$170$	1.17370	−	0.852742i	0.0900186	−	0.0654023i
$171$	−6.05248	+	4.39738i	−0.462844	+	0.336276i
$172$	−6.30806	−	19.4142i	−0.480985	−	1.48032i
$173$	−3.13239	+	9.64051i	−0.238151	+	0.732955i	0.758536	+	0.651631i	$0.225915\pi$
$173$	−3.13239	+	9.64051i	−0.238151	+	0.732955i	−0.996688	+	0.0813239i	$0.974085\pi$
$174$	−10.8976	−	7.91760i	−0.826148	−	0.600232i
$175$	1.54732			0.116966
$176$	13.7679	−	3.91709i	1.03780	−	0.295262i
$177$	4.30934			0.323910
$178$	−27.7890	−	20.1899i	−2.08287	−	1.51330i
$179$	8.23548	−	25.3462i	0.615549	−	1.89446i	0.222566	−	0.974918i	$-0.428557\pi$
$179$	8.23548	−	25.3462i	0.615549	−	1.89446i	0.392983	−	0.919546i	$-0.371443\pi$
$180$	0.564602	+	1.73767i	0.0420830	+	0.129518i
$181$	−17.8464	+	12.9662i	−1.32651	+	0.963767i	−0.326685	+	0.945133i	$0.605931\pi$
$181$	−17.8464	+	12.9662i	−1.32651	+	0.963767i	−0.999826	+	0.0186332i	$0.994069\pi$
$182$	10.1782	−	7.39487i	0.754456	−	0.548144i
$183$	−2.02557	−	6.23406i	−0.149734	−	0.460835i
$184$	−0.120857	+	0.371961i	−0.00890973	+	0.0274213i
$185$	−3.17147	−	2.30420i	−0.233171	−	0.169409i
$186$	13.2555			0.971942
$187$	−2.36570	+	0.673062i	−0.172997	+	0.0492192i
$188$	−12.8660			−0.938349
$189$	1.25181	+	0.909491i	0.0910555	+	0.0661557i
$190$	−4.52264	+	13.9193i	−0.328107	+	1.00981i
$191$	3.28280	+	10.1034i	0.237535	+	0.731057i	0.996775	+	0.0802464i	$0.0255707\pi$
$191$	3.28280	+	10.1034i	0.237535	+	0.731057i	−0.759240	+	0.650810i	$0.774429\pi$
$192$	−5.30885	+	3.85711i	−0.383133	+	0.278363i
$193$	2.17120	−	1.57747i	0.156286	−	0.113549i	−0.506894	−	0.862009i	$-0.669206\pi$
$193$	2.17120	−	1.57747i	0.156286	−	0.113549i	0.663180	+	0.748460i	$0.269206\pi$
$194$	0.0872445	+	0.268511i	0.00626379	+	0.0192780i
$195$	−1.28434	+	3.95280i	−0.0919736	+	0.283066i
$196$	6.80806	+	4.94635i	0.486290	+	0.353310i
$197$	17.2838			1.23142			0.615709	−	0.787973i	$-0.288870\pi$
$197$	17.2838			1.23142			0.615709	+	0.787973i	$0.288870\pi$
$198$	0.239846	−	6.48386i	0.0170451	−	0.460788i
$199$	−8.39386			−0.595025			−0.297513	−	0.954718i	$-0.596157\pi$
$199$	−8.39386			−0.595025			−0.297513	+	0.954718i	$0.596157\pi$
$200$	−0.273659	−	0.198825i	−0.0193506	−	0.0140590i
$201$	1.09762	−	3.37814i	0.0774205	−	0.238276i
$202$	2.11629	+	6.51327i	0.148902	+	0.458272i
$203$	−8.61941	+	6.26237i	−0.604964	+	0.439532i
$204$	1.09618	−	0.796423i	0.0767481	−	0.0557607i
$205$	0.0106821	+	0.0328761i	0.000746070	+	0.00229617i
$206$	−7.32390	+	22.5407i	−0.510280	+	1.57048i
$207$	0.935398	+	0.679606i	0.0650146	+	0.0472359i
$208$	−17.9379			−1.24377
$209$	15.3165	−	19.5209i	1.05947	−	1.35029i
$210$	3.02701			0.208884
$211$	19.1279	+	13.8972i	1.31682	+	0.956726i	0.999966	+	0.00825168i	$0.00262662\pi$
$211$	19.1279	+	13.8972i	1.31682	+	0.956726i	0.316854	+	0.948474i	$0.397373\pi$
$212$	−0.690983	+	2.12663i	−0.0474569	+	0.146057i
$213$	−1.81874	−	5.59752i	−0.124618	−	0.383536i
$214$	−5.97155	+	4.33858i	−0.408206	+	0.296579i
$215$	9.03881	−	6.56708i	0.616441	−	0.447871i
$216$	−0.104528	−	0.321706i	−0.00711226	−	0.0218893i
$217$	3.23985	−	9.97122i	0.219935	−	0.676891i
$218$	28.9851	+	21.0589i	1.96312	+	1.42629i
$219$	−4.57880			−0.309406
$220$	−3.37819	−	5.03078i	−0.227757	−	0.339175i
$221$	3.08221			0.207332
$222$	−6.20432	−	4.50770i	−0.416407	−	0.302537i
$223$	−7.32392	+	22.5407i	−0.490446	+	1.50944i	0.333489	+	0.942754i	$0.391774\pi$
$223$	−7.32392	+	22.5407i	−0.490446	+	1.50944i	−0.823935	+	0.566684i	$0.808226\pi$
$224$	3.71363	+	11.4294i	0.248127	+	0.763656i
$225$	−0.809017	+	0.587785i	−0.0539345	+	0.0391857i
$226$	−22.6849	+	16.4816i	−1.50898	+	1.09634i
$227$	−4.45233	−	13.7029i	−0.295512	−	0.909491i	−0.983049	−	0.183342i	$-0.941308\pi$
$227$	−4.45233	−	13.7029i	−0.295512	−	0.909491i	0.687538	−	0.726149i	$-0.258692\pi$
$228$	−4.22394	+	13.0000i	−0.279737	+	0.860943i
$229$	16.6658	+	12.1084i	1.10131	+	0.800145i	0.981273	−	0.192625i	$-0.0617000\pi$
$229$	16.6658	+	12.1084i	1.10131	+	0.800145i	0.120033	+	0.992770i	$0.461700\pi$
$230$	2.26190			0.149145
$231$	−4.81874	−	1.76517i	−0.317050	−	0.116140i
$232$	2.32912			0.152915
$233$	−8.22240	−	5.97392i	−0.538667	−	0.391365i	0.284923	−	0.958551i	$-0.408032\pi$
$233$	−8.22240	−	5.97392i	−0.538667	−	0.391365i	−0.823590	+	0.567186i	$0.808032\pi$
$234$	−2.51255	+	7.73284i	−0.164251	+	0.505511i
$235$	−2.17603	−	6.69714i	−0.141949	−	0.436874i
$236$	6.36984	−	4.62796i	0.414641	−	0.301255i
$237$	4.99777	−	3.63109i	0.324640	−	0.235865i
$238$	−0.693683	−	2.13494i	−0.0449648	−	0.138387i
$239$	−2.63436	+	8.10774i	−0.170403	+	0.524446i	−0.999394	−	0.0348162i	$-0.988915\pi$
$239$	−2.63436	+	8.10774i	−0.170403	+	0.524446i	0.828991	+	0.559262i	$0.188915\pi$
$240$	−3.49165	−	2.53683i	−0.225385	−	0.163752i
$241$	4.81966			0.310462			0.155231	−	0.987878i	$-0.450388\pi$
$241$	4.81966			0.310462			0.155231	+	0.987878i	$0.450388\pi$
$242$	5.11958	+	20.9014i	0.329099	+	1.34359i
$243$	−1.00000			−0.0641500
$244$	−9.68907	−	7.03952i	−0.620279	−	0.450659i
$245$	−1.42327	+	4.38038i	−0.0909295	+	0.279852i
$246$	0.0208973	+	0.0643154i	0.00133237	+	0.00410060i
$247$	−25.1554	+	18.2765i	−1.60060	+	1.16290i
$248$	−1.85427	+	1.34720i	−0.117746	+	0.0855475i
$249$	4.68138	+	14.4078i	0.296670	+	0.913057i
$250$	−0.604528	+	1.86055i	−0.0382337	+	0.117671i
$251$	11.3758	+	8.26499i	0.718033	+	0.521682i	0.885755	−	0.464153i	$-0.153641\pi$
$251$	11.3758	+	8.26499i	0.718033	+	0.521682i	−0.167722	+	0.985834i	$0.553641\pi$
$252$	2.82709			0.178090
$253$	−3.60075	−	1.31900i	−0.226377	−	0.0829251i
$254$	28.2974			1.77554
$255$	0.599960	+	0.435897i	0.0375710	+	0.0272969i
$256$	5.68540	−	17.4979i	0.355337	−	1.09362i
$257$	3.59510	+	11.0646i	0.224256	+	0.690190i	0.998366	+	0.0571389i	$0.0181978\pi$
$257$	3.59510	+	11.0646i	0.224256	+	0.690190i	−0.774110	+	0.633051i	$0.781802\pi$
$258$	17.6826	−	12.8471i	1.10087	−	0.799828i
$259$	−4.90727	+	3.56534i	−0.304923	+	0.221539i
$260$	2.34661	+	7.22212i	0.145530	+	0.447897i
$261$	2.12776	−	6.54858i	0.131705	−	0.405347i
$262$	23.1898	+	16.8484i	1.43267	+	1.04090i
$263$	−11.0280			−0.680015			−0.340007	−	0.940423i	$-0.610430\pi$
$263$	−11.0280			−0.680015			−0.340007	+	0.940423i	$0.610430\pi$
$264$	0.625426	+	0.931381i	0.0384923	+	0.0573225i
$265$	−1.22384			−0.0751799
$266$	18.3209	+	13.3109i	1.12333	+	0.816145i
$267$	5.42579	−	16.6989i	0.332053	−	1.02195i
$268$	−2.00546	−	6.17217i	−0.122503	−	0.377025i
$269$	−15.3514	+	11.1535i	−0.935994	+	0.680039i	−0.947453	−	0.319895i	$-0.896352\pi$
$269$	−15.3514	+	11.1535i	−0.935994	+	0.680039i	0.0114593	+	0.999934i	$0.496352\pi$
$270$	−1.58268	+	1.14988i	−0.0963186	+	0.0699796i
$271$	4.81135	+	14.8078i	0.292269	+	0.899511i	0.984125	+	0.177476i	$0.0567931\pi$
$271$	4.81135	+	14.8078i	0.292269	+	0.899511i	−0.691856	+	0.722035i	$0.743207\pi$
$272$	−0.989055	+	3.04400i	−0.0599703	+	0.184570i
$273$	5.20278	+	3.78004i	0.314886	+	0.228778i
$274$	−20.3803			−1.23122
$275$	2.04732	−	2.60931i	0.123458	−	0.157347i
$276$	2.11251			0.127158
$277$	−4.78387	−	3.47569i	−0.287435	−	0.208834i	0.434719	−	0.900566i	$-0.356848\pi$
$277$	−4.78387	−	3.47569i	−0.287435	−	0.208834i	−0.722154	+	0.691732i	$0.756848\pi$
$278$	1.04712	−	3.22270i	0.0628020	−	0.193285i
$279$	2.09385	+	6.44420i	0.125355	+	0.385804i
$280$	−0.423438	+	0.307645i	−0.0253052	+	0.0183853i
$281$	−22.4537	+	16.3136i	−1.33948	+	0.973187i	−0.340014	+	0.940420i	$0.610432\pi$
$281$	−22.4537	+	16.3136i	−1.33948	+	0.973187i	−0.999463	+	0.0327670i	$0.989568\pi$
$282$	−4.25697	−	13.1016i	−0.253499	−	0.780188i
$283$	6.10124	−	18.7777i	0.362681	−	1.11622i	−0.588740	−	0.808323i	$-0.700376\pi$
$283$	6.10124	−	18.7777i	0.362681	−	1.11622i	0.951421	−	0.307894i	$-0.0996244\pi$
$284$	−8.69975	−	6.32074i	−0.516235	−	0.375067i
$285$	−7.48127			−0.443152
$286$	0.996854	−	26.9483i	0.0589452	−	1.59349i
$287$	0.0534877			0.00315728
$288$	−6.28339	−	4.56515i	−0.370252	−	0.269004i
$289$	−5.08334	+	15.6449i	−0.299020	+	0.920289i
$290$	−4.16253	−	12.8109i	−0.244432	−	0.752285i
$291$	−0.116756	+	0.0848281i	−0.00684435	+	0.00497271i
$292$	−6.76814	+	4.91734i	−0.396075	+	0.287765i
$293$	6.14307	+	18.9064i	0.358882	+	1.10453i	0.953724	+	0.300683i	$0.0972147\pi$
$293$	6.14307	+	18.9064i	0.358882	+	1.10453i	−0.594842	+	0.803843i	$0.702785\pi$
$294$	−2.78434	+	8.56932i	−0.162386	+	0.499773i
$295$	3.48633	+	2.53297i	0.202982	+	0.147475i
$296$	1.32603			0.0770741
$297$	3.19003	−	0.907591i	0.185104	−	0.0526638i
$298$	24.3715			1.41180
$299$	3.88771	+	2.82459i	0.224832	+	0.163350i
$300$	−0.564602	+	1.73767i	−0.0325973	+	0.100324i
$301$	−5.34214	−	16.4414i	−0.307916	−	0.947668i
$302$	27.8662	−	20.2459i	1.60352	−	1.16502i
$303$	−2.83215	+	2.05768i	−0.162703	+	0.118210i
$304$	−9.97772	−	30.7083i	−0.572261	−	1.76124i
$305$	2.02557	−	6.23406i	0.115984	−	0.356961i
$306$	1.17370	+	0.852742i	0.0670959	+	0.0487480i
$307$	−10.3072			−0.588262			−0.294131	−	0.955765i	$-0.595030\pi$
$307$	−10.3072			−0.588262			−0.294131	+	0.955765i	$0.595030\pi$
$308$	−9.01850	+	2.56584i	−0.513877	+	0.146202i
$309$	−12.1151			−0.689202
$310$	10.7239	+	7.79140i	0.609079	+	0.442522i
$311$	2.58436	−	7.95384i	0.146545	−	0.451021i	−0.850661	−	0.525715i	$-0.823798\pi$
$311$	2.58436	−	7.95384i	0.146545	−	0.451021i	0.997207	+	0.0746939i	$0.0237980\pi$
$312$	−0.434443	−	1.33708i	−0.0245955	−	0.0756971i
$313$	5.76328	−	4.18727i	0.325760	−	0.236678i	−0.412869	−	0.910790i	$-0.635473\pi$
$313$	5.76328	−	4.18727i	0.325760	−	0.236678i	0.738629	+	0.674112i	$0.235473\pi$
$314$	25.1003	−	18.2365i	1.41649	−	1.02914i
$315$	0.478148	+	1.47159i	0.0269406	+	0.0829145i
$316$	3.48787	−	10.7346i	0.196208	−	0.603867i
$317$	−22.3203	−	16.2166i	−1.25363	−	0.910816i	−0.255204	−	0.966887i	$-0.582143\pi$
$317$	−22.3203	−	16.2166i	−1.25363	−	0.910816i	−0.998427	+	0.0560712i	$0.982143\pi$
$318$	−2.39419			−0.134260
$319$	−0.844188	+	22.8213i	−0.0472655	+	1.27775i
$320$	−6.56210			−0.366833
$321$	−3.05248	−	2.21775i	−0.170373	−	0.123783i
$322$	1.08152	−	3.32858i	0.0602708	−	0.185495i
$323$	1.71444	+	5.27651i	0.0953941	+	0.293593i
$324$	−1.47815	+	1.07394i	−0.0821193	+	0.0596632i
$325$	−3.36245	+	2.44296i	−0.186515	+	0.135511i
$326$	−5.15033	−	15.8511i	−0.285250	−	0.877910i
$327$	−5.65934	+	17.4177i	−0.312962	+	0.963199i
$328$	−0.00945985	−	0.00687298i	−0.000522333	−	0.000379497i
$329$	−10.8959			−0.600710
$330$	4.00516	−	5.10458i	0.220477	−	0.280998i
$331$	−15.9410			−0.876195			−0.438098	−	0.898927i	$-0.644348\pi$
$331$	−15.9410			−0.876195			−0.438098	+	0.898927i	$0.644348\pi$
$332$	22.3928	+	16.2694i	1.22897	+	0.892897i
$333$	1.21139	−	3.72828i	0.0663839	−	0.204309i
$334$	−8.78339	−	27.0325i	−0.480606	−	1.47915i
$335$	2.87362	−	2.08781i	0.157003	−	0.114069i
$336$	−5.40270	+	3.92529i	−0.294741	+	0.214142i
$337$	3.69441	+	11.3702i	0.201247	+	0.619376i	0.999847	+	0.0175125i	$0.00557470\pi$
$337$	3.69441	+	11.3702i	0.201247	+	0.619376i	−0.798599	+	0.601863i	$0.794425\pi$
$338$	−2.58383	+	7.95221i	−0.140542	+	0.432543i
$339$	−11.5959	−	8.42488i	−0.629800	−	0.457577i
$340$	1.35495			0.0734827
$341$	−12.5281	−	18.6568i	−0.678436	−	1.01032i
$342$	−14.6356			−0.791401
$343$	14.5282	+	10.5554i	0.784450	+	0.569937i
$344$	−1.16785	+	3.59428i	−0.0629664	+	0.193791i
$345$	0.357290	+	1.09963i	0.0192359	+	0.0592019i
$346$	−16.0430	+	11.6559i	−0.862478	+	0.626627i
$347$	1.77472	−	1.28941i	0.0952718	−	0.0692190i	−0.539130	−	0.842223i	$-0.681247\pi$
$347$	1.77472	−	1.28941i	0.0952718	−	0.0692190i	0.634401	+	0.773004i	$0.281247\pi$
$348$	−3.88761	−	11.9648i	−0.208398	−	0.641383i
$349$	−1.49251	+	4.59346i	−0.0798920	+	0.245882i	−0.983023	−	0.183483i	$-0.941263\pi$
$349$	−1.49251	+	4.59346i	−0.0798920	+	0.245882i	0.903131	+	0.429365i	$0.141263\pi$
$350$	2.44890	+	1.77923i	0.130899	+	0.0951040i
$351$	−4.15622			−0.221842
$352$	24.1875	+	8.86020i	1.28920	+	0.472250i
$353$	−11.1032			−0.590962			−0.295481	−	0.955349i	$-0.595480\pi$
$353$	−11.1032			−0.590962			−0.295481	+	0.955349i	$0.595480\pi$
$354$	6.82029	+	4.95523i	0.362494	+	0.263368i
$355$	1.81874	−	5.59752i	0.0965289	−	0.297085i
$356$	−9.91342	−	30.5104i	−0.525410	−	1.61705i
$357$	0.928329	−	0.674471i	0.0491324	−	0.0356968i
$358$	42.1792	−	30.6450i	2.22924	−	1.61964i
$359$	−3.88712	−	11.9633i	−0.205155	−	0.631401i	−0.999707	−	0.0242053i	$-0.992294\pi$
$359$	−3.88712	−	11.9633i	−0.205155	−	0.631401i	0.794552	−	0.607196i	$-0.207706\pi$
$360$	0.104528	−	0.321706i	0.00550913	−	0.0169554i
$361$	−29.9089	−	21.7301i	−1.57415	−	1.14369i
$362$	−43.1546			−2.26815
$363$	−9.35256	+	5.79048i	−0.490882	+	0.303921i
$364$	11.7500			0.615867
$365$	−3.70432	−	2.69135i	−0.193893	−	0.140872i
$366$	3.96261	−	12.1957i	0.207129	−	0.637477i
$367$	−6.46434	−	19.8952i	−0.337436	−	1.03852i	−0.965510	−	0.260367i	$-0.916156\pi$
$367$	−6.46434	−	19.8952i	−0.337436	−	1.03852i	0.628074	−	0.778154i	$-0.283844\pi$
$368$	−4.03710	+	2.93313i	−0.210449	+	0.152900i
$369$	−0.0279661	+	0.0203186i	−0.00145586	+	0.00105774i
$370$	−2.36984	−	7.29362i	−0.123202	−	0.379177i
$371$	−0.585176	+	1.80099i	−0.0303808	+	0.0935026i
$372$	10.0157	+	7.27681i	0.519289	+	0.377285i
$373$	9.62019			0.498115			0.249057	−	0.968489i	$-0.419879\pi$
$373$	9.62019			0.498115			0.249057	+	0.968489i	$0.419879\pi$
$374$	−4.51807	−	1.65503i	−0.233624	−	0.0855797i
$375$	−1.00000			−0.0516398
$376$	1.92705	+	1.40008i	0.0993801	+	0.0722038i
$377$	8.84343	−	27.2173i	0.455460	−	1.40176i
$378$	0.935398	+	2.87886i	0.0481117	+	0.148073i
$379$	24.1815	−	17.5689i	1.24212	−	0.902453i	0.244382	−	0.969679i	$-0.421415\pi$
$379$	24.1815	−	17.5689i	1.24212	−	0.902453i	0.997738	+	0.0672264i	$0.0214150\pi$
$380$	−11.0584	+	8.03442i	−0.567285	+	0.412157i
$381$	4.46986	+	13.7568i	0.228998	+	0.704784i
$382$	−6.42212	+	19.7652i	−0.328584	+	1.01128i
$383$	22.6816	+	16.4792i	1.15898	+	0.842046i	0.989648	−	0.143514i	$-0.0458402\pi$
$383$	22.6816	+	16.4792i	1.15898	+	0.842046i	0.169328	+	0.985560i	$0.445840\pi$
$384$	2.69598			0.137578
$385$	−2.86090	−	4.26044i	−0.145805	−	0.217132i
$386$	5.25021			0.267228
$387$	9.03881	+	6.56708i	0.459468	+	0.333823i
$388$	−0.0814824	+	0.250777i	−0.00413664	+	0.0127313i
$389$	3.05722	+	9.40917i	0.155007	+	0.477064i	0.998162	−	0.0606081i	$-0.0193040\pi$
$389$	3.05722	+	9.40917i	0.155007	+	0.477064i	−0.843154	+	0.537672i	$0.819304\pi$
$390$	−6.57794	+	4.77915i	−0.333087	+	0.242002i
$391$	0.693683	−	0.503990i	0.0350811	−	0.0254879i
$392$	−0.481438	−	1.48171i	−0.0243163	−	0.0748378i
$393$	−4.52780	+	13.9351i	−0.228397	+	0.702935i
$394$	27.3546	+	19.8743i	1.37811	+	1.00125i
$395$	6.17758			0.310828
$396$	3.74064	−	4.76744i	0.187974	−	0.239573i
$397$	14.7457			0.740067			0.370033	−	0.929018i	$-0.379346\pi$
$397$	14.7457			0.740067			0.370033	+	0.929018i	$0.379346\pi$
$398$	−13.2848	−	9.65195i	−0.665905	−	0.483808i
$399$	−3.57715	+	11.0093i	−0.179082	+	0.551157i
$400$	−1.33369	−	4.10468i	−0.0666846	−	0.205234i
$401$	11.6331	−	8.45193i	0.580929	−	0.422069i	−0.258130	−	0.966110i	$-0.583106\pi$
$401$	11.6331	−	8.45193i	0.580929	−	0.422069i	0.839059	+	0.544041i	$0.183106\pi$
$402$	5.62165	−	4.08437i	0.280382	−	0.203710i
$403$	8.70248	+	26.7835i	0.433501	+	1.33418i
$404$	−1.97652	+	6.08310i	−0.0983354	+	0.302645i
$405$	−0.809017	−	0.587785i	−0.0402004	−	0.0292073i
$406$	−20.8427			−1.03441
$407$	−0.480619	+	12.9928i	−0.0238234	+	0.644028i
$408$	−0.250852			−0.0124190
$409$	8.90194	+	6.46764i	0.440173	+	0.319804i	0.785704	−	0.618603i	$-0.212301\pi$
$409$	8.90194	+	6.46764i	0.440173	+	0.319804i	−0.345531	+	0.938407i	$0.612301\pi$
$410$	−0.0208973	+	0.0643154i	−0.00103205	+	0.00317631i
$411$	−3.21927	−	9.90790i	−0.158795	−	0.488721i
$412$	−17.9079	+	13.0108i	−0.882257	+	0.640997i
$413$	5.39446	−	3.91931i	0.265444	−	0.192856i
$414$	0.698965	+	2.15119i	0.0343523	+	0.105725i
$415$	−4.68138	+	14.4078i	−0.229800	+	0.707251i
$416$	−26.1151	−	18.9737i	−1.28040	−	0.930264i
$417$	1.73212			0.0848225
$418$	46.6879	−	13.2831i	2.28358	−	0.649699i
$419$	−2.80166			−0.136870			−0.0684350	−	0.997656i	$-0.521801\pi$
$419$	−2.80166			−0.136870			−0.0684350	+	0.997656i	$0.521801\pi$
$420$	2.28716	+	1.66172i	0.111602	+	0.0810837i
$421$	−5.56588	+	17.1300i	−0.271264	+	0.834866i	0.718919	+	0.695094i	$0.244637\pi$
$421$	−5.56588	+	17.1300i	−0.271264	+	0.834866i	−0.990184	+	0.139772i	$0.955363\pi$
$422$	14.2931	+	43.9897i	0.695778	+	2.14138i
$423$	5.69693	−	4.13906i	0.276994	−	0.201248i
$424$	0.334915	−	0.243330i	0.0162649	−	0.0118172i
$425$	0.229164	+	0.705295i	0.0111161	+	0.0342119i
$426$	3.55800	−	10.9504i	0.172386	−	0.530549i
$427$	−8.20544	−	5.96160i	−0.397089	−	0.288502i
$428$	−6.89374			−0.333221
$429$	13.2584	−	3.77214i	0.640124	−	0.182121i
$430$	21.8569			1.05403
$431$	11.3061	+	8.21438i	0.544597	+	0.395673i	0.825790	−	0.563978i	$-0.190730\pi$
$431$	11.3061	+	8.21438i	0.544597	+	0.395673i	−0.281192	+	0.959651i	$0.590730\pi$
$432$	1.33369	−	4.10468i	0.0641673	−	0.197487i
$433$	0.114607	+	0.352724i	0.00550767	+	0.0169509i	0.953773	−	0.300529i	$-0.0971633\pi$
$433$	0.114607	+	0.352724i	0.00550767	+	0.0169509i	−0.948265	+	0.317480i	$0.897163\pi$
$434$	16.5934	−	12.0558i	0.796506	−	0.578696i
$435$	5.57055	−	4.04724i	0.267087	−	0.194050i
$436$	10.3401	+	31.8236i	0.495202	+	1.52408i
$437$	−2.67299	+	8.22660i	−0.127866	+	0.393532i
$438$	−7.24675	−	5.26507i	−0.346263	−	0.251575i
$439$	−11.2753			−0.538141			−0.269071	−	0.963120i	$-0.586716\pi$
$439$	−11.2753			−0.538141			−0.269071	+	0.963120i	$0.586716\pi$
$440$	−0.0414716	+	1.12112i	−0.00197708	+	0.0534472i
$441$	−4.60581			−0.219324
$442$	4.87815	+	3.54418i	0.232030	+	0.168579i
$443$	9.13570	−	28.1168i	0.434050	−	1.33587i	−0.460006	−	0.887916i	$-0.652153\pi$
$443$	9.13570	−	28.1168i	0.434050	−	1.33587i	0.894057	−	0.447954i	$-0.147847\pi$
$444$	−2.21332	−	6.81191i	−0.105040	−	0.323279i
$445$	14.2049	−	10.3205i	0.673377	−	0.489237i
$446$	−37.5106	+	27.2530i	−1.77618	+	1.29047i
$447$	3.84973	+	11.8483i	0.182086	+	0.560403i
$448$	−3.13765	+	9.65670i	−0.148240	+	0.456236i
$449$	−0.919982	−	0.668406i	−0.0434166	−	0.0315440i	0.565865	−	0.824498i	$-0.308542\pi$
$449$	−0.919982	−	0.668406i	−0.0434166	−	0.0315440i	−0.609282	+	0.792954i	$0.708542\pi$
$450$	−1.95630			−0.0922206
$451$	0.0707717	−	0.0901986i	0.00333251	−	0.00424729i
$452$	−26.1882			−1.23179
$453$	14.2444	+	10.3491i	0.669258	+	0.486244i
$454$	8.71007	−	26.8068i	0.408784	−	1.25811i
$455$	1.98728	+	6.11623i	0.0931653	+	0.286733i
$456$	2.04732	−	1.48746i	0.0958745	−	0.0696569i
$457$	5.69337	−	4.13648i	0.266325	−	0.193496i	−0.446606	−	0.894731i	$-0.647367\pi$
$457$	5.69337	−	4.13648i	0.266325	−	0.193496i	0.712931	+	0.701234i	$0.247367\pi$
$458$	12.4533	+	38.3273i	0.581905	+	1.79092i
$459$	−0.229164	+	0.705295i	−0.0106965	+	0.0329204i
$460$	1.70906	+	1.24170i	0.0796852	+	0.0578947i
$461$	−18.7977			−0.875497			−0.437748	−	0.899098i	$-0.644224\pi$
$461$	−18.7977			−0.875497			−0.437748	+	0.899098i	$0.644224\pi$
$462$	−5.59677	−	8.33468i	−0.260385	−	0.387764i
$463$	−37.0376			−1.72128			−0.860642	−	0.509211i	$-0.829937\pi$
$463$	−37.0376			−1.72128			−0.860642	+	0.509211i	$0.829937\pi$
$464$	24.0421	+	17.4676i	1.11612	+	0.810912i
$465$	−2.09385	+	6.44420i	−0.0970998	+	0.298842i
$466$	−6.14409	−	18.9096i	−0.284619	−	0.875969i
$467$	−0.468586	+	0.340447i	−0.0216836	+	0.0157540i	−0.598574	−	0.801067i	$-0.704266\pi$
$467$	−0.468586	+	0.340447i	−0.0216836	+	0.0157540i	0.576891	+	0.816821i	$0.304266\pi$
$468$	−6.14350	+	4.46351i	−0.283983	+	0.206326i
$469$	−1.69837	−	5.22706i	−0.0784237	−	0.241363i
$470$	4.25697	−	13.1016i	0.196359	−	0.604331i
$471$	12.8305	+	9.32193i	0.591200	+	0.429532i
$472$	−1.45768			−0.0670953
$473$	−34.7943	−	12.7456i	−1.59984	−	0.586044i
$474$	12.0852			0.555090
$475$	−6.05248	−	4.39738i	−0.277707	−	0.201766i
$476$	0.647868	−	1.99393i	0.0296950	−	0.0913918i
$477$	−0.378188	−	1.16394i	−0.0173160	−	0.0532932i
$478$	−13.4923	+	9.80271i	−0.617122	+	0.448366i
$479$	−9.64817	+	7.00981i	−0.440836	+	0.320286i	−0.785967	−	0.618268i	$-0.787835\pi$
$479$	−9.64817	+	7.00981i	−0.440836	+	0.320286i	0.345131	+	0.938555i	$0.387835\pi$
$480$	−2.40004	−	7.38656i	−0.109546	−	0.337149i
$481$	5.03481	−	15.4955i	0.229567	−	0.706536i
$482$	7.62796	+	5.54204i	0.347444	+	0.252433i
$483$	1.78903			0.0814038
$484$	−7.60585	+	18.6032i	−0.345720	+	0.845602i
$485$	−0.144318			−0.00655315
$486$	−1.58268	−	1.14988i	−0.0717916	−	0.0521597i
$487$	6.74927	−	20.7721i	0.305839	−	0.941275i	−0.673524	−	0.739165i	$-0.735220\pi$
$487$	6.74927	−	20.7721i	0.305839	−	0.941275i	0.979363	−	0.202110i	$-0.0647797\pi$
$488$	0.685171	+	2.10874i	0.0310162	+	0.0954582i
$489$	6.89248	−	5.00768i	0.311689	−	0.226455i
$490$	−7.28950	+	5.29613i	−0.329306	+	0.239255i
$491$	−2.61905	−	8.06061i	−0.118196	−	0.363770i	0.874404	−	0.485198i	$-0.161253\pi$
$491$	−2.61905	−	8.06061i	−0.118196	−	0.363770i	−0.992600	+	0.121428i	$0.961253\pi$
$492$	−0.0195172	+	0.0600677i	−0.000879902	+	0.00270806i
$493$	−4.13107	−	3.00140i	−0.186054	−	0.135176i
$494$	−60.8286			−2.73681
$495$	3.11426	+	1.14079i	0.139975	+	0.0512749i
$496$	−29.2439			−1.31309
$497$	−7.36761	−	5.35288i	−0.330482	−	0.240109i
$498$	−9.15816	+	28.1859i	−0.410387	+	1.26304i
$499$	0.785033	+	2.41608i	0.0351429	+	0.108159i	0.967089	−	0.254438i	$-0.0818904\pi$
$499$	0.785033	+	2.41608i	0.0351429	+	0.108159i	−0.931946	+	0.362596i	$0.881890\pi$
$500$	−1.47815	+	1.07394i	−0.0661048	+	0.0480279i
$501$	11.7545	−	8.54012i	0.525151	−	0.381544i
$502$	8.50043	+	26.1616i	0.379393	+	1.16765i
$503$	10.0889	−	31.0505i	0.449842	−	1.38447i	−0.427242	−	0.904137i	$-0.640515\pi$
$503$	10.0889	−	31.0505i	0.449842	−	1.38447i	0.877085	−	0.480335i	$-0.159485\pi$
$504$	−0.423438	−	0.307645i	−0.0188614	−	0.0137036i
$505$	−3.50073			−0.155780
$506$	−4.18212	−	6.22799i	−0.185918	−	0.276868i
$507$	−4.27413			−0.189821
$508$	21.3811	+	15.5343i	0.948632	+	0.689222i
$509$	−1.33527	+	4.10955i	−0.0591849	+	0.182152i	−0.976278	−	0.216521i	$-0.930529\pi$
$509$	−1.33527	+	4.10955i	−0.0591849	+	0.182152i	0.917093	+	0.398673i	$0.130529\pi$
$510$	0.448313	+	1.37977i	0.0198516	+	0.0610971i
$511$	−5.73177	+	4.16437i	−0.253558	+	0.184221i
$512$	24.7564	−	17.9866i	1.09409	−	0.794902i
$513$	−2.31184	−	7.11511i	−0.102070	−	0.314140i
$514$	−7.03308	+	21.6456i	−0.310216	+	0.954747i
$515$	−9.80129	−	7.12106i	−0.431897	−	0.313791i
$516$	20.4133			0.898646
$517$	−14.4168	+	18.3742i	−0.634050	+	0.808097i
$518$	−11.8663			−0.521377
$519$	−8.20071	−	5.95816i	−0.359971	−	0.261534i
$520$	0.434443	−	1.33708i	0.0190516	−	0.0586347i
$521$	−7.22219	−	22.2276i	−0.316410	−	0.973809i	−0.975170	−	0.221457i	$-0.928919\pi$
$521$	−7.22219	−	22.2276i	−0.316410	−	0.973809i	0.658760	−	0.752353i	$-0.271081\pi$
$522$	10.8976	−	7.91760i	0.476977	−	0.346544i
$523$	23.5627	−	17.1193i	1.03032	−	0.748574i	0.0619500	−	0.998079i	$-0.480268\pi$
$523$	23.5627	−	17.1193i	1.03032	−	0.748574i	0.968373	+	0.249506i	$0.0802681\pi$
$524$	8.27270	+	25.4608i	0.361395	+	1.11226i
$525$	−0.478148	+	1.47159i	−0.0208681	+	0.0642253i
$526$	−17.4537	−	12.6809i	−0.761019	−	0.552913i
$527$	5.02490			0.218888
$528$	−0.529142	+	14.3045i	−0.0230280	+	0.622524i
$529$	−21.6632			−0.941877
$530$	−1.93694	−	1.40727i	−0.0841354	−	0.0611280i
$531$	−1.33166	+	4.09843i	−0.0577891	+	0.177857i
$532$	6.53578	+	20.1151i	0.283362	+	0.872099i
$533$	−0.116233	+	0.0844483i	−0.00503462	+	0.00365786i
$534$	27.7890	−	20.1899i	1.20255	−	0.873702i
$535$	−1.16594	−	3.58840i	−0.0504081	−	0.155140i
$536$	−0.371284	+	1.14269i	−0.0160370	+	0.0493569i
$537$	21.5608	+	15.6648i	0.930415	+	0.675986i
$538$	−37.1215			−1.60042
$539$	14.6927	−	4.18019i	0.632857	−	0.180053i
$540$	−1.82709			−0.0786255
$541$	−21.1739	−	15.3837i	−0.910337	−	0.661398i	0.0307632	−	0.999527i	$-0.490206\pi$
$541$	−21.1739	−	15.3837i	−0.910337	−	0.661398i	−0.941100	+	0.338128i	$0.890206\pi$
$542$	−9.41243	+	28.9685i	−0.404298	+	1.24430i
$543$	−6.81671	−	20.9797i	−0.292533	−	0.900324i
$544$	−4.65971	+	3.38547i	−0.199783	+	0.145151i
$545$	−14.8163	+	10.7647i	−0.634663	+	0.461109i
$546$	3.88771	+	11.9652i	0.166379	+	0.512061i
$547$	1.10764	−	3.40897i	0.0473593	−	0.145757i	−0.924580	−	0.380987i	$-0.875584\pi$
$547$	1.10764	−	3.40897i	0.0473593	−	0.145757i	0.971940	+	0.235230i	$0.0755843\pi$
$548$	−15.3990	−	11.1880i	−0.657814	−	0.477930i
$549$	6.55488			0.279755
$550$	6.24064	−	1.77552i	0.266102	−	0.0757083i
$551$	51.5129			2.19452
$552$	−0.316409	−	0.229884i	−0.0134673	−	0.00978453i
$553$	2.95379	−	9.09085i	0.125608	−	0.386582i
$554$	−3.57469	−	11.0018i	−0.151874	−	0.467421i
$555$	3.17147	−	2.30420i	0.134621	−	0.0978080i
$556$	2.56034	−	1.86019i	0.108582	−	0.0788897i
$557$	5.71771	+	17.5973i	0.242267	+	0.745621i	0.996074	+	0.0885251i	$0.0282154\pi$
$557$	5.71771	+	17.5973i	0.242267	+	0.745621i	−0.753807	+	0.657096i	$0.771785\pi$
$558$	−4.09618	+	12.6068i	−0.173405	+	0.533686i
$559$	37.5672	+	27.2942i	1.58892	+	1.15442i
$560$	−6.67810			−0.282201
$561$	0.0909209	−	2.45790i	0.00383868	−	0.103773i
$562$	−54.2957			−2.29033
$563$	25.3871	+	18.4448i	1.06994	+	0.777355i	0.975901	−	0.218214i	$-0.0700231\pi$
$563$	25.3871	+	18.4448i	1.06994	+	0.777355i	0.0940361	+	0.995569i	$0.470023\pi$
$564$	3.97581	−	12.2363i	0.167412	−	0.515241i
$565$	−4.42922	−	13.6317i	−0.186339	−	0.573492i
$566$	31.2484	−	22.7033i	1.31347	−	0.954290i
$567$	−1.25181	+	0.909491i	−0.0525709	+	0.0381950i
$568$	0.615211	+	1.89342i	0.0258137	+	0.0794463i
$569$	−0.291783	+	0.898015i	−0.0122322	+	0.0376468i	−0.956986	−	0.290133i	$-0.906300\pi$
$569$	−0.291783	+	0.898015i	−0.0122322	+	0.0376468i	0.944754	+	0.327780i	$0.106300\pi$
$570$	−11.8404	−	8.60258i	−0.495941	−	0.360322i
$571$	38.0576			1.59266			0.796331	−	0.604861i	$-0.206771\pi$
$571$	38.0576			1.59266			0.796331	+	0.604861i	$0.206771\pi$
$572$	15.5469	−	19.8145i	0.650048	−	0.828487i
$573$	−10.6234			−0.443797
$574$	0.0846537	+	0.0615045i	0.00353338	+	0.00256715i
$575$	−0.357290	+	1.09963i	−0.0149000	+	0.0458576i
$576$	−2.02780	−	6.24093i	−0.0844917	−	0.260039i
$577$	37.4491	−	27.2084i	1.55903	−	1.13270i	0.622225	−	0.782839i	$-0.286229\pi$
$577$	37.4491	−	27.2084i	1.55903	−	1.13270i	0.936802	−	0.349860i	$-0.113771\pi$
$578$	−26.0351	+	18.9156i	−1.08292	+	0.786785i
$579$	0.829324	+	2.55240i	0.0344655	+	0.106074i
$580$	3.88761	−	11.9648i	0.161424	−	0.496813i
$581$	18.9639	+	13.7781i	0.786757	+	0.571612i
$582$	−0.282329			−0.0117029
$583$	2.26281	+	3.36977i	0.0937161	+	0.139561i
$584$	1.54883			0.0640910
$585$	−3.36245	−	2.44296i	−0.139020	−	0.101004i
$586$	−12.0177	+	36.9866i	−0.496445	+	1.52790i
$587$	−4.80321	−	14.7827i	−0.198249	−	0.610149i	−0.999923	−	0.0123874i	$-0.996057\pi$
$587$	−4.80321	−	14.7827i	−0.198249	−	0.610149i	0.801674	−	0.597762i	$-0.203943\pi$
$588$	−6.80806	+	4.94635i	−0.280760	+	0.203984i
$589$	−41.0105	+	29.7959i	−1.68981	+	1.22772i
$590$	2.60512	+	8.01773i	0.107251	+	0.330085i
$591$	−5.34098	+	16.4379i	−0.219699	+	0.676163i
$592$	13.6878	+	9.94477i	0.562565	+	0.408727i
$593$	11.8521			0.486709			0.243355	−	0.969937i	$-0.421752\pi$
$593$	11.8521			0.486709			0.243355	+	0.969937i	$0.421752\pi$
$594$	6.09240	+	2.23173i	0.249974	+	0.0915690i
$595$	1.14748			0.0470420
$596$	18.4148	+	13.3791i	0.754298	+	0.548030i
$597$	2.59385	−	7.98304i	0.106159	−	0.326724i
$598$	2.90505	+	8.94082i	0.118796	+	0.365617i
$599$	−24.0517	+	17.4746i	−0.982724	+	0.713991i	−0.958316	−	0.285711i	$-0.907770\pi$
$599$	−24.0517	+	17.4746i	−0.982724	+	0.713991i	−0.0244084	+	0.999702i	$0.507770\pi$
$600$	0.273659	−	0.198825i	0.0111721	−	0.00811699i
$601$	5.78584	+	17.8070i	0.236010	+	0.726363i	0.996986	+	0.0775830i	$0.0247203\pi$
$601$	5.78584	+	17.8070i	0.236010	+	0.726363i	−0.760976	+	0.648780i	$0.775280\pi$
$602$	10.4508	−	32.1643i	0.425943	−	1.31092i
$603$	2.87362	+	2.08781i	0.117023	+	0.0850221i
$604$	32.1696			1.30896
$605$	−10.9699	−	0.812696i	−0.445991	−	0.0330408i
$606$	−6.84846			−0.278199
$607$	−33.6887	−	24.4763i	−1.36738	−	0.993461i	−0.997937	−	0.0642080i	$-0.979548\pi$
$607$	−33.6887	−	24.4763i	−1.36738	−	0.993461i	−0.369445	−	0.929253i	$-0.620452\pi$
$608$	17.9554	−	55.2609i	0.728186	−	2.24113i
$609$	−3.29232	−	10.1327i	−0.133412	−	0.410599i
$610$	10.3742	−	7.53733i	0.420041	−	0.305178i
$611$	23.6777	−	17.2028i	0.957896	−	0.695952i
$612$	0.418704	+	1.28864i	0.0169251	+	0.0520901i
$613$	6.38410	−	19.6482i	0.257851	−	0.793585i	−0.735403	−	0.677630i	$-0.763007\pi$
$613$	6.38410	−	19.6482i	0.257851	−	0.793585i	0.993254	−	0.115955i	$-0.0369928\pi$
$614$	−16.3129	−	11.8520i	−0.658336	−	0.478309i
$615$	−0.0345680			−0.00139392
$616$	1.62999	+	0.597089i	0.0656743	+	0.0240574i
$617$	46.0784			1.85505			0.927524	−	0.373764i	$-0.121933\pi$
$617$	46.0784			1.85505			0.927524	+	0.373764i	$0.121933\pi$
$618$	−19.1742	−	13.9309i	−0.771300	−	0.560383i
$619$	−6.27505	+	19.3126i	−0.252216	+	0.776240i	0.742150	+	0.670234i	$0.233806\pi$
$619$	−6.27505	+	19.3126i	−0.252216	+	0.776240i	−0.994365	+	0.106006i	$0.966194\pi$
$620$	3.82565	+	11.7741i	0.153642	+	0.472861i
$621$	−0.935398	+	0.679606i	−0.0375362	+	0.0272717i
$622$	13.2362	−	9.61664i	0.530722	−	0.385592i
$623$	−8.39543	−	25.8385i	−0.336356	−	1.03520i
$624$	5.54311	−	17.0600i	0.221902	−	0.682945i
$625$	−0.809017	−	0.587785i	−0.0323607	−	0.0235114i
$626$	13.9363			0.557005
$627$	13.8324	+	20.5992i	0.552415	+	0.822653i
$628$	28.9766			1.15629
$629$	−2.35193	−	1.70878i	−0.0937777	−	0.0681335i
$630$	−0.935398	+	2.87886i	−0.0372671	+	0.114696i
$631$	4.47487	+	13.7722i	0.178142	+	0.548265i	0.999763	−	0.0217695i	$-0.00692999\pi$
$631$	4.47487	+	13.7722i	0.178142	+	0.548265i	−0.821621	+	0.570034i	$0.806930\pi$
$632$	−1.69055	+	1.22826i	−0.0672465	+	0.0488574i
$633$	−19.1279	+	13.8972i	−0.760267	+	0.552366i
$634$	−16.6786	−	51.3313i	−0.662390	−	2.03863i
$635$	−4.46986	+	13.7568i	−0.177381	+	0.545923i
$636$	−1.80902	−	1.31433i	−0.0717322	−	0.0521165i
$637$	−19.1427			−0.758462
$638$	−27.5778	+	35.1480i	−1.09182	+	1.39152i
$639$	5.88558			0.232830
$640$	2.18109	+	1.58466i	0.0862152	+	0.0626390i
$641$	0.807999	−	2.48676i	0.0319140	−	0.0982213i	−0.933831	−	0.357715i	$-0.883556\pi$
$641$	0.807999	−	2.48676i	0.0319140	−	0.0982213i	0.965745	+	0.259494i	$0.0835558\pi$
$642$	−2.28093	−	7.01997i	−0.0900210	−	0.277056i
$643$	−12.8008	+	9.30033i	−0.504815	+	0.366769i	−0.810853	−	0.585250i	$-0.800996\pi$
$643$	−12.8008	+	9.30033i	−0.504815	+	0.366769i	0.306038	+	0.952019i	$0.400996\pi$
$644$	2.64445	−	1.92131i	0.104206	−	0.0757102i
$645$	3.45252	+	10.6258i	0.135943	+	0.418389i
$646$	−3.35395	+	10.3224i	−0.131960	+	0.406130i
$647$	33.3995	+	24.2662i	1.31307	+	0.954002i	0.999991	+	0.00427602i	$0.00136110\pi$
$647$	33.3995	+	24.2662i	1.31307	+	0.954002i	0.313081	+	0.949726i	$0.398639\pi$
$648$	0.338261			0.0132882
$649$	0.528335	−	14.2827i	0.0207390	−	0.560645i
$650$	−8.13078			−0.318916
$651$	8.48203	+	6.16255i	0.332437	+	0.241530i
$652$	4.81017	−	14.8042i	0.188381	−	0.579777i
$653$	−8.93546	−	27.5005i	−0.349672	−	1.07618i	−0.959035	−	0.283287i	$-0.908575\pi$
$653$	−8.93546	−	27.5005i	−0.349672	−	1.07618i	0.609363	−	0.792891i	$-0.291425\pi$
$654$	−28.9851	+	21.0589i	−1.13341	+	0.823470i
$655$	−11.8539	+	8.61239i	−0.463172	+	0.336514i
$656$	−0.0461031	−	0.141891i	−0.00180002	−	0.00553990i
$657$	1.41493	−	4.35469i	0.0552015	−	0.169893i
$658$	−17.2447	−	12.5290i	−0.672267	−	0.488431i
$659$	−9.25143			−0.360384			−0.180192	−	0.983631i	$-0.557672\pi$
$659$	−9.25143			−0.360384			−0.180192	+	0.983631i	$0.557672\pi$
$660$	5.82847	−	1.65825i	0.226873	−	0.0645474i
$661$	18.4522			0.717706			0.358853	−	0.933394i	$-0.383168\pi$
$661$	18.4522			0.717706			0.358853	+	0.933394i	$0.383168\pi$
$662$	−25.2294	−	18.3302i	−0.980569	−	0.712425i
$663$	−0.952456	+	2.93136i	−0.0369903	+	0.113845i
$664$	−1.58353	−	4.87360i	−0.0614528	−	0.189132i
$665$	−9.36511	+	6.80415i	−0.363163	+	0.263854i
$666$	6.20432	−	4.50770i	0.240413	−	0.174670i
$667$	−2.46015	−	7.57156i	−0.0952574	−	0.293172i
$668$	8.20328	−	25.2471i	0.317395	−	0.976840i
$669$	−19.1743	−	13.9309i	−0.741321	−	0.538601i
$670$	6.94874			0.268453
$671$	−20.9102	+	5.94915i	−0.807231	+	0.229664i
$672$	−12.0175			−0.463587
$673$	9.72315	+	7.06428i	0.374800	+	0.272308i	0.759199	−	0.650859i	$-0.225591\pi$
$673$	9.72315	+	7.06428i	0.374800	+	0.272308i	−0.384399	+	0.923167i	$0.625591\pi$
$674$	−7.22736	+	22.2435i	−0.278387	+	0.856788i
$675$	−0.309017	−	0.951057i	−0.0118941	−	0.0366062i
$676$	−6.31779	+	4.59014i	−0.242992	+	0.176544i
$677$	−6.54933	+	4.75837i	−0.251711	+	0.182879i	−0.706485	−	0.707728i	$-0.749720\pi$
$677$	−6.54933	+	4.75837i	−0.251711	+	0.182879i	0.454774	+	0.890607i	$0.349720\pi$
$678$	−8.66486	−	26.6677i	−0.332772	−	1.02417i
$679$	−0.0690054	+	0.212377i	−0.00264818	+	0.00815027i
$680$	−0.202943	−	0.147447i	−0.00778252	−	0.00565433i
$681$	14.4080			0.552117
$682$	1.62516	−	43.9335i	0.0622305	−	1.68230i
$683$	−17.5755			−0.672507			−0.336253	−	0.941772i	$-0.609160\pi$
$683$	−17.5755			−0.672507			−0.336253	+	0.941772i	$0.609160\pi$
$684$	−11.0584	−	8.03442i	−0.422829	−	0.307204i
$685$	3.21927	−	9.90790i	0.123002	−	0.378561i
$686$	10.8560	+	33.4115i	0.414486	+	1.27566i
$687$	−16.6658	+	12.1084i	−0.635839	+	0.461964i
$688$	−39.0108	+	28.3430i	−1.48727	+	1.08057i
$689$	−1.57183	−	4.83759i	−0.0598819	−	0.184298i
$690$	−0.698965	+	2.15119i	−0.0266091	+	0.0818945i
$691$	21.9989	+	15.9831i	0.836877	+	0.608026i	0.921496	−	0.388387i	$-0.126968\pi$
$691$	21.9989	+	15.9831i	0.836877	+	0.608026i	−0.0846198	+	0.996413i	$0.526968\pi$
$692$	−18.5206			−0.704046
$693$	3.16785	−	4.03743i	0.120337	−	0.153369i
$694$	4.29147			0.162902
$695$	1.40132	+	1.01812i	0.0531550	+	0.0386194i
$696$	−0.719739	+	2.21513i	−0.0272816	+	0.0839642i
$697$	0.00792176	+	0.0243807i	0.000300058	+	0.000923483i
$698$	−7.64409	+	5.55376i	−0.289333	+	0.210213i
$699$	8.22240	−	5.97392i	0.311000	−	0.225954i
$700$	0.873619	+	2.68872i	0.0330197	+	0.101624i
$701$	0.0318290	−	0.0979596i	0.00120216	−	0.00369988i	−0.950454	−	0.310866i	$-0.899381\pi$
$701$	0.0318290	−	0.0979596i	0.00120216	−	0.00369988i	0.951656	+	0.307166i	$0.0993808\pi$
$702$	−6.57794	−	4.77915i	−0.248268	−	0.180378i
$703$	29.3277			1.10611
$704$	12.1330	+	18.0683i	0.457278	+	0.680976i
$705$	7.04179			0.265209
$706$	−17.5727	−	12.7673i	−0.661358	−	0.480505i
$707$	−1.67386	+	5.15162i	−0.0629521	+	0.193747i
$708$	2.43306	+	7.48820i	0.0914401	+	0.281424i
$709$	32.7610	−	23.8023i	1.23037	−	0.893914i	0.233449	−	0.972369i	$-0.424999\pi$
$709$	32.7610	−	23.8023i	1.23037	−	0.893914i	0.996918	+	0.0784554i	$0.0249988\pi$
$710$	9.31497	−	6.76772i	0.349584	−	0.253988i
$711$	1.90898	+	5.87523i	0.0715922	+	0.220338i
$712$	−1.83534	+	5.64858i	−0.0687821	+	0.211690i
$713$	6.33810	+	4.60490i	0.237364	+	0.172455i
$714$	2.24481			0.0840097
$715$	12.9435	+	4.74139i	0.484060	+	0.177318i
$716$	48.6930			1.81974
$717$	−6.89685	−	5.01086i	−0.257568	−	0.187134i
$718$	7.60436	−	23.4038i	0.283792	−	0.873423i
$719$	15.1381	+	46.5903i	0.564556	+	1.73752i	0.669267	+	0.743022i	$0.266608\pi$
$719$	15.1381	+	46.5903i	0.564556	+	1.73752i	−0.104712	+	0.994503i	$0.533392\pi$
$720$	3.49165	−	2.53683i	0.130126	−	0.0945422i
$721$	−15.1657	+	11.0185i	−0.564801	+	0.410352i
$722$	−22.3491	−	68.7834i	−0.831747	−	2.55985i
$723$	−1.48936	+	4.58377i	−0.0553898	+	0.170472i
$724$	−32.6070	−	23.6903i	−1.21183	−	0.880445i
$725$	6.88558			0.255724
$726$	−21.4604	−	1.58987i	−0.796471	−	0.0590058i
$727$	−13.4370			−0.498352			−0.249176	−	0.968458i	$-0.580160\pi$
$727$	−13.4370			−0.498352			−0.249176	+	0.968458i	$0.580160\pi$
$728$	−1.75990	−	1.27864i	−0.0652262	−	0.0473896i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	−2.76801	−	8.51907i	−0.102449	−	0.315305i
$731$	6.70310	−	4.87009i	0.247923	−	0.180127i
$732$	9.68907	−	7.03952i	0.358118	−	0.260188i
$733$	−9.59932	−	29.5437i	−0.354559	−	1.09122i	−0.956265	−	0.292502i	$-0.905512\pi$
$733$	−9.59932	−	29.5437i	−0.354559	−	1.09122i	0.601706	−	0.798718i	$-0.294488\pi$
$734$	12.6462	−	38.9209i	0.466778	−	1.43660i
$735$	−3.72618	−	2.70723i	−0.137442	−	0.0998575i
$736$	−8.97997			−0.331006
$737$	−11.0618	−	4.05209i	−0.407467	−	0.149261i
$738$	−0.0676252			−0.00248932
$739$	−25.4213	−	18.4697i	−0.935138	−	0.679417i	0.0121077	−	0.999927i	$-0.496146\pi$
$739$	−25.4213	−	18.4697i	−0.935138	−	0.679417i	−0.947245	+	0.320509i	$0.896146\pi$
$740$	2.21332	−	6.81191i	0.0813634	−	0.250411i
$741$	−9.60851	−	29.5719i	−0.352977	−	1.08635i
$742$	−2.99707	+	2.17750i	−0.110026	+	0.0799384i
$743$	−1.41039	+	1.02471i	−0.0517423	+	0.0375929i	−0.613356	−	0.789807i	$-0.710181\pi$
$743$	−1.41039	+	1.02471i	−0.0517423	+	0.0375929i	0.561614	+	0.827400i	$0.310181\pi$
$744$	−0.708267	−	2.17982i	−0.0259663	−	0.0799161i
$745$	−3.84973	+	11.8483i	−0.141043	+	0.434087i
$746$	15.2256	+	11.0621i	0.557451	+	0.405011i
$747$	−15.1493			−0.554283
$748$	−2.50523	−	3.73078i	−0.0916005	−	0.136411i
$749$	−5.83814			−0.213321
$750$	−1.58268	−	1.14988i	−0.0577912	−	0.0419877i
$751$	6.61529	−	20.3598i	0.241396	−	0.742939i	−0.754813	−	0.655940i	$-0.772272\pi$
$751$	6.61529	−	20.3598i	0.241396	−	0.742939i	0.996208	−	0.0869989i	$-0.0277277\pi$
$752$	9.39159	+	28.9043i	0.342476	+	1.05403i
$753$	−11.3758	+	8.26499i	−0.414557	+	0.301193i
$754$	45.2929	−	32.9073i	1.64947	−	1.19841i
$755$	5.44086	+	16.7452i	0.198013	+	0.609422i
$756$	−0.873619	+	2.68872i	−0.0317732	+	0.0977879i
$757$	−0.359956	−	0.261523i	−0.0130828	−	0.00950522i	0.581225	−	0.813743i	$-0.302574\pi$
$757$	−0.359956	−	0.261523i	−0.0130828	−	0.00950522i	−0.594307	+	0.804238i	$0.702574\pi$
$758$	58.4736			2.12386
$759$	2.36714	−	3.01692i	0.0859218	−	0.109507i
$760$	2.53062			0.0917954
$761$	−25.9551	−	18.8575i	−0.940873	−	0.683584i	0.00775741	−	0.999970i	$-0.497531\pi$
$761$	−25.9551	−	18.8575i	−0.940873	−	0.683584i	−0.948631	+	0.316385i	$0.897531\pi$
$762$	−8.74437	+	26.9124i	−0.316775	+	0.974934i
$763$	8.75680	+	26.9507i	0.317017	+	0.975679i
$764$	−15.7029	+	11.4088i	−0.568110	+	0.412756i
$765$	−0.599960	+	0.435897i	−0.0216916	+	0.0157599i
$766$	16.9486	+	52.1623i	0.612377	+	1.88470i
$767$	−5.53466	+	17.0339i	−0.199845	+	0.615060i
$768$	14.8846	+	10.8143i	0.537100	+	0.390226i
$769$	38.9434			1.40433			0.702167	−	0.712012i	$-0.252216\pi$
$769$	38.9434			1.40433			0.702167	+	0.712012i	$0.252216\pi$
$770$	0.371119	−	10.0326i	0.0133742	−	0.361550i
$771$	−11.6340			−0.418988
$772$	3.96698	+	2.88218i	0.142775	+	0.103732i
$773$	7.04344	−	21.6775i	0.253335	−	0.779684i	−0.740818	−	0.671705i	$-0.765562\pi$
$773$	7.04344	−	21.6775i	0.253335	−	0.779684i	0.994153	−	0.107979i	$-0.0344379\pi$
$774$	6.75414	+	20.7871i	0.242773	+	0.747177i
$775$	−5.48176	+	3.98273i	−0.196911	+	0.143064i
$776$	0.0394940	−	0.0286941i	0.00141775	−	0.00103006i
$777$	−1.87441	−	5.76884i	−0.0672441	−	0.206956i
$778$	−5.98083	+	18.4071i	−0.214423	+	0.659927i
$779$	−0.209222	−	0.152009i	−0.00749616	−	0.00544628i
$780$	−7.59378			−0.271901
$781$	−18.7752	+	5.34170i	−0.671828	+	0.191141i
$782$	1.67740			0.0599839
$783$	5.57055	+	4.04724i	0.199075	+	0.144637i
$784$	6.14273	−	18.9054i	0.219383	−	0.675192i
$785$	4.90083	+	15.0832i	0.174918	+	0.538343i
$786$	−23.1898	+	16.8484i	−0.827153	+	0.600962i
$787$	16.0060	−	11.6291i	0.570553	−	0.414531i	−0.264753	−	0.964316i	$-0.585290\pi$
$787$	16.0060	−	11.6291i	0.570553	−	0.414531i	0.835306	+	0.549785i	$0.185290\pi$
$788$	9.75846	+	30.0335i	0.347631	+	1.06990i
$789$	3.40784	−	10.4882i	0.121322	−	0.373391i
$790$	9.77711	+	7.10348i	0.347854	+	0.252731i
$791$	−22.1781			−0.788563
$792$	−1.07906	+	0.307003i	−0.0383428	+	0.0109089i
$793$	27.2435			0.967444
$794$	23.3377	+	16.9558i	0.828224	+	0.601740i
$795$	0.378188	−	1.16394i	0.0134129	−	0.0412808i
$796$	−4.73919	−	14.5857i	−0.167976	−	0.516978i
$797$	−10.0045	+	7.26870i	−0.354378	+	0.257471i	−0.750703	−	0.660640i	$-0.770285\pi$
$797$	−10.0045	+	7.26870i	−0.354378	+	0.257471i	0.396325	+	0.918110i	$0.370285\pi$
$798$	−18.3209	+	13.3109i	−0.648553	+	0.471202i
$799$	−1.61373	−	4.96655i	−0.0570896	−	0.175704i
$800$	2.40004	−	7.38656i	0.0848542	−	0.261154i
$801$	14.2049	+	10.3205i	0.501906	+	0.364656i
$802$	28.1301			0.993309
$803$	−0.561371	+	15.1758i	−0.0198104	+	0.535541i
$804$	6.48981			0.228878
$805$	1.44736	+	1.05157i	0.0510127	+	0.0370629i
$806$	−17.0246	+	52.3964i	−0.599666	+	1.84558i
$807$	−5.86373	−	18.0467i	−0.206413	−	0.635274i
$808$	0.958006	−	0.696032i	0.0337025	−	0.0244863i
$809$	−16.5165	+	12.0000i	−0.580690	+	0.421896i	−0.838973	−	0.544173i	$-0.816843\pi$
$809$	−16.5165	+	12.0000i	−0.580690	+	0.421896i	0.258283	+	0.966069i	$0.416843\pi$
$810$	−0.604528	−	1.86055i	−0.0212410	−	0.0653730i
$811$	−3.10152	+	9.54549i	−0.108909	+	0.335188i	−0.990628	−	0.136587i	$-0.956387\pi$
$811$	−3.10152	+	9.54549i	−0.108909	+	0.335188i	0.881719	+	0.471775i	$0.156387\pi$
$812$	−15.7485	−	11.4419i	−0.552662	−	0.401533i
$813$	−15.5699			−0.546059
$814$	−15.7008	+	20.0107i	−0.550313	+	0.701374i
$815$	8.51958			0.298428
$816$	−2.58938	−	1.88129i	−0.0906464	−	0.0658585i
$817$	−25.8292	+	79.4942i	−0.903650	+	2.78115i
$818$	6.65187	+	20.4724i	0.232577	+	0.715799i
$819$	−5.20278	+	3.78004i	−0.181800	+	0.132085i
$820$	−0.0510966	+	0.0371239i	−0.00178437	+	0.00129642i
$821$	−3.20449	−	9.86240i	−0.111837	−	0.344200i	0.879437	−	0.476016i	$-0.157919\pi$
$821$	−3.20449	−	9.86240i	−0.111837	−	0.344200i	−0.991274	+	0.131815i	$0.957919\pi$
$822$	6.29785	−	19.3828i	0.219663	−	0.676052i
$823$	−39.3201	−	28.5677i	−1.37061	−	0.995809i	−0.997689	−	0.0679469i	$-0.978355\pi$
$823$	−39.3201	−	28.5677i	−1.37061	−	0.995809i	−0.372924	−	0.927862i	$-0.621645\pi$
$824$	4.09806			0.142763
$825$	1.84894	+	2.75344i	0.0643719	+	0.0958623i
$826$	13.0444			0.453873
$827$	−8.51856	−	6.18910i	−0.296219	−	0.215216i	0.429741	−	0.902952i	$-0.358605\pi$
$827$	−8.51856	−	6.18910i	−0.296219	−	0.215216i	−0.725961	+	0.687736i	$0.758605\pi$
$828$	−0.652802	+	2.00912i	−0.0226864	+	0.0698216i
$829$	−9.03596	−	27.8098i	−0.313832	−	0.965875i	−0.976233	−	0.216726i	$-0.930462\pi$
$829$	−9.03596	−	27.8098i	−0.313832	−	0.965875i	0.662401	−	0.749150i	$-0.269538\pi$
$830$	−23.9764	+	17.4199i	−0.832232	+	0.604652i
$831$	4.78387	−	3.47569i	0.165951	−	0.120570i
$832$	−8.42798	−	25.9386i	−0.292188	−	0.899261i
$833$	−1.05549	+	3.24845i	−0.0365704	+	0.112552i
$834$	2.74139	+	1.99174i	0.0949266	+	0.0689682i
$835$	14.5293			0.502808
$836$	42.5687	+	15.5935i	1.47227	+	0.539312i
$837$	−6.77583			−0.234207
$838$	−4.43412	−	3.22158i	−0.153174	−	0.111288i
$839$	−6.81767	+	20.9826i	−0.235372	+	0.724401i	0.761700	+	0.647930i	$0.224365\pi$
$839$	−6.81767	+	20.9826i	−0.235372	+	0.724401i	−0.997072	+	0.0764709i	$0.975635\pi$
$840$	−0.161739	−	0.497781i	−0.00558052	−	0.0171751i
$841$	−14.8950	+	10.8218i	−0.513620	+	0.373167i
$842$	−28.5065	+	20.7112i	−0.982398	+	0.713754i
$843$	−8.57656	−	26.3959i	−0.295392	−	0.909125i
$844$	−13.3491	+	41.0844i	−0.459496	+	1.41418i
$845$	−3.45784	−	2.51227i	−0.118953	−	0.0864247i
$846$	13.7758			0.473623
$847$	−6.44120	+	15.7546i	−0.221322	+	0.541335i
$848$	5.28200			0.181385
$849$	15.9732	+	11.6052i	0.548200	+	0.398291i
$850$	−0.448313	+	1.37977i	−0.0153770	+	0.0473256i
$851$	−1.40063	−	4.31070i	−0.0480130	−	0.147769i
$852$	8.69975	−	6.32074i	0.298049	−	0.216545i
$853$	1.16359	−	0.845395i	0.0398404	−	0.0289458i	−0.567687	−	0.823245i	$-0.692162\pi$
$853$	1.16359	−	0.845395i	0.0398404	−	0.0289458i	0.607527	+	0.794299i	$0.292162\pi$
$854$	−6.13142	−	18.8706i	−0.209813	−	0.645737i
$855$	2.31184	−	7.11511i	0.0790633	−	0.243332i
$856$	1.03253	+	0.750180i	0.0352913	+	0.0256406i
$857$	34.3766			1.17428			0.587141	−	0.809485i	$-0.300254\pi$
$857$	34.3766			1.17428			0.587141	+	0.809485i	$0.300254\pi$
$858$	25.3213	+	9.27556i	0.864456	+	0.316662i
$859$	−14.4635			−0.493489			−0.246744	−	0.969081i	$-0.579361\pi$
$859$	−14.4635			−0.493489			−0.246744	+	0.969081i	$0.579361\pi$
$860$	16.5147	+	11.9986i	0.563147	+	0.409150i
$861$	−0.0165286	+	0.0508698i	−0.000563294	+	0.00173364i
$862$	8.44837	+	26.0014i	0.287753	+	0.885612i
$863$	−17.7525	+	12.8979i	−0.604302	+	0.439051i	−0.847403	−	0.530950i	$-0.821835\pi$
$863$	−17.7525	+	12.8979i	−0.604302	+	0.439051i	0.243101	+	0.970001i	$0.421835\pi$
$864$	6.28339	−	4.56515i	0.213765	−	0.155309i
$865$	−3.13239	−	9.64051i	−0.106505	−	0.327787i
$866$	−0.224205	+	0.690033i	−0.00761881	+	0.0234483i
$867$	−13.3084	−	9.66909i	−0.451976	−	0.328380i
$868$	19.1559			0.650193
$869$	−11.4220	−	17.0096i	−0.387465	−	0.577010i
$870$	13.4702			0.456683
$871$	11.9434	+	8.67737i	0.404686	+	0.294022i
$872$	1.91434	−	5.89172i	0.0648276	−	0.199519i
$873$	−0.0445968	−	0.137255i	−0.00150937	−	0.00464537i
$874$	−13.6901	+	9.94643i	−0.463074	+	0.336443i
$875$	−1.25181	+	0.909491i	−0.0423188	+	0.0307464i
$876$	−2.58520	−	7.95642i	−0.0873457	−	0.268823i
$877$	−3.90705	+	12.0247i	−0.131932	+	0.406044i	−0.995100	−	0.0988718i	$-0.968477\pi$
$877$	−3.90705	+	12.0247i	−0.131932	+	0.406044i	0.863168	+	0.504916i	$0.168477\pi$
$878$	−17.8452	−	12.9653i	−0.602245	−	0.437557i
$879$	−19.8794			−0.670516
$880$	−8.83606	+	11.2616i	−0.297864	+	0.379627i
$881$	−6.38769			−0.215207			−0.107603	−	0.994194i	$-0.534318\pi$
$881$	−6.38769			−0.215207			−0.107603	+	0.994194i	$0.534318\pi$
$882$	−7.28950	−	5.29613i	−0.245450	−	0.178330i
$883$	−12.6256	+	38.8576i	−0.424885	+	1.30766i	0.478220	+	0.878240i	$0.341282\pi$
$883$	−12.6256	+	38.8576i	−0.424885	+	1.30766i	−0.903104	+	0.429421i	$0.858718\pi$
$884$	1.74022	+	5.35586i	0.0585301	+	0.180137i
$885$	−3.48633	+	2.53297i	−0.117192	+	0.0851447i
$886$	46.7899	−	33.9948i	1.57194	−	1.14208i
$887$	0.870444	+	2.67895i	0.0292267	+	0.0899504i	0.964606	−	0.263696i	$-0.0849416\pi$
$887$	0.870444	+	2.67895i	0.0292267	+	0.0899504i	−0.935379	+	0.353646i	$0.884942\pi$
$888$	−0.409767	+	1.26113i	−0.0137509	+	0.0423209i
$889$	18.1071	+	13.1556i	0.607293	+	0.441224i
$890$	34.3491			1.15138
$891$	−0.122602	+	3.31436i	−0.00410733	+	0.111035i
$892$	−43.3034			−1.44990
$893$	42.6203	+	30.9655i	1.42623	+	1.03622i
$894$	−7.53121	+	23.1787i	−0.251881	+	0.775212i
$895$	8.23548	+	25.3462i	0.275282	+	0.847230i
$896$	3.37484	−	2.45197i	0.112746	−	0.0819144i
$897$	−3.88771	+	2.82459i	−0.129807	+	0.0943103i
$898$	−0.687446	−	2.11574i	−0.0229404	−	0.0706032i
$899$	14.4173	−	44.3720i	0.480845	−	1.47989i
$900$	−1.47815	−	1.07394i	−0.0492716	−	0.0357979i
$901$	−0.907590			−0.0302362
$902$	0.215726	−	0.0613761i	0.00718290	−	0.00204360i
$903$	17.2875			0.575293
$904$	3.92243	+	2.84981i	0.130458	+	0.0947833i
$905$	6.81671	−	20.9797i	0.226595	−	0.697388i
$906$	10.6439	+	32.7586i	0.353621	+	1.08833i
$907$	10.5940	−	7.69698i	0.351767	−	0.255574i	−0.397843	−	0.917454i	$-0.630241\pi$
$907$	10.5940	−	7.69698i	0.351767	−	0.255574i	0.749610	+	0.661880i	$0.230241\pi$
$908$	21.2972	−	15.4733i	0.706773	−	0.513501i
$909$	−1.08178	−	3.32939i	−0.0358805	−	0.110429i
$910$	−3.88771	+	11.9652i	−0.128876	+	0.396641i
$911$	−9.33209	−	6.78016i	−0.309186	−	0.224637i	0.422361	−	0.906428i	$-0.361201\pi$
$911$	−9.33209	−	6.78016i	−0.309186	−	0.224637i	−0.731547	+	0.681791i	$0.761201\pi$
$912$	32.2886			1.06918
$913$	48.3266	−	13.7493i	1.59938	−	0.455037i
$914$	13.7672			0.455379
$915$	5.30301	+	3.85286i	0.175312	+	0.127372i
$916$	−11.6308	+	35.7960i	−0.384293	+	1.18273i
$917$	7.00595	+	21.5621i	0.231357	+	0.712043i
$918$	−1.17370	+	0.852742i	−0.0387378	+	0.0281447i
$919$	−6.33225	+	4.60065i	−0.208882	+	0.151761i	−0.687308	−	0.726367i	$-0.741208\pi$
$919$	−6.33225	+	4.60065i	−0.208882	+	0.151761i	0.478426	+	0.878128i	$0.341208\pi$
$920$	−0.120857	−	0.371961i	−0.00398455	−	0.0122632i
$921$	3.18509	−	9.80271i	0.104952	−	0.323010i
$922$	−29.7507	−	21.6151i	−0.979787	−	0.711857i
$923$	24.4617			0.805168
$924$	0.346608	−	9.36999i	0.0114026	−	0.308250i
$925$	3.92015			0.128894
$926$	−58.6185	−	42.5889i	−1.92632	−	1.39956i
$927$	3.74376	−	11.5221i	0.122961	−	0.378436i
$928$	16.5257	+	50.8608i	0.542482	+	1.66959i
$929$	23.1145	−	16.7936i	0.758361	−	0.550981i	−0.140046	−	0.990145i	$-0.544725\pi$
$929$	23.1145	−	16.7936i	0.758361	−	0.550981i	0.898407	+	0.439164i	$0.144725\pi$
$930$	−10.7239	+	7.79140i	−0.351652	+	0.255490i
$931$	−10.6479	−	32.7708i	−0.348970	−	1.07402i
$932$	5.73830	−	17.6607i	0.187964	−	0.578495i
$933$	6.76594	+	4.91574i	0.221507	+	0.160934i
$934$	−1.13309			−0.0370760
$935$	1.51827	−	1.93504i	0.0496529	−	0.0632826i
$936$	1.40589			0.0459528
$937$	−31.6226	−	22.9752i	−1.03307	−	0.750567i	−0.0641463	−	0.997941i	$-0.520432\pi$
$937$	−31.6226	−	22.9752i	−1.03307	−	0.750567i	−0.968920	+	0.247374i	$0.920432\pi$
$938$	3.32252	−	10.2257i	0.108484	−	0.333880i
$939$	2.20138	+	6.77514i	0.0718392	+	0.221098i
$940$	10.4088	−	7.56244i	0.339498	−	0.246660i
$941$	−10.8065	+	7.85135i	−0.352281	+	0.255947i	−0.749825	−	0.661636i	$-0.769862\pi$
$941$	−10.8065	+	7.85135i	−0.352281	+	0.255947i	0.397545	+	0.917583i	$0.369862\pi$
$942$	9.58747	+	29.5072i	0.312377	+	0.961396i
$943$	−0.0123508	+	0.0380119i	−0.000402198	+	0.00123784i
$944$	−15.0467	−	10.9321i	−0.489729	−	0.355809i
$945$	−1.54732			−0.0503343
$946$	−40.4121	−	60.1815i	−1.31391	−	1.95667i
$947$	8.22435			0.267255			0.133628	−	0.991032i	$-0.457337\pi$
$947$	8.22435			0.267255			0.133628	+	0.991032i	$0.457337\pi$
$948$	9.13137	+	6.63433i	0.296573	+	0.215473i
$949$	5.88074	−	18.0990i	0.190897	−	0.587520i
$950$	−4.52264	−	13.9193i	−0.146734	−	0.451600i
$951$	22.3203	−	16.2166i	0.723784	−	0.525860i
$952$	−0.314018	+	0.228147i	−0.0101774	+	0.00739429i
$953$	−17.2283	−	53.0232i	−0.558079	−	1.71759i	−0.687671	−	0.726023i	$-0.741367\pi$
$953$	−17.2283	−	53.0232i	−0.558079	−	1.71759i	0.129592	−	0.991567i	$-0.458633\pi$
$954$	0.739846	−	2.27701i	0.0239534	−	0.0737210i
$955$	−8.59447	−	6.24425i	−0.278111	−	0.202059i
$956$	−15.5759			−0.503761
$957$	−21.4435	−	7.85503i	−0.693168	−	0.253917i
$958$	−23.3304			−0.753770
$959$	−13.0411	−	9.47488i	−0.421117	−	0.305960i
$960$	2.02780	−	6.24093i	0.0654470	−	0.201425i
$961$	4.60802	+	14.1820i	0.148646	+	0.457485i
$962$	25.7865	−	18.7350i	0.831390	−	0.604040i
$963$	3.05248	−	2.21775i	0.0983647	−	0.0714661i
$964$	2.72119	+	8.37496i	0.0876436	+	0.269739i
$965$	−0.829324	+	2.55240i	−0.0266969	+	0.0821646i
$966$	2.83146	+	2.05718i	0.0911007	+	0.0661885i
$967$	1.68449			0.0541695			0.0270847	−	0.999633i	$-0.491378\pi$
$967$	1.68449			0.0541695			0.0270847	+	0.999633i	$0.491378\pi$
$968$	3.16361	−	1.95870i	0.101682	−	0.0629549i
$969$	−5.54805			−0.178229
$970$	−0.228409	−	0.165949i	−0.00733377	−	0.00532830i
$971$	−18.8928	+	58.1461i	−0.606299	+	1.86600i	−0.118697	+	0.992931i	$0.537872\pi$
$971$	−18.8928	+	58.1461i	−0.606299	+	1.86600i	−0.487602	+	0.873066i	$0.662128\pi$
$972$	−0.564602	−	1.73767i	−0.0181096	−	0.0557357i
$973$	2.16828	−	1.57535i	0.0695120	−	0.0505034i
$974$	34.5674	−	25.1147i	1.10761	−	0.804726i
$975$	−1.28434	−	3.95280i	−0.0411318	−	0.126591i
$976$	−8.74219	+	26.9057i	−0.279831	+	0.861230i
$977$	−18.5564	−	13.4820i	−0.593670	−	0.431327i	0.249956	−	0.968257i	$-0.419584\pi$
$977$	−18.5564	−	13.4820i	−0.593670	−	0.431327i	−0.843627	+	0.536930i	$0.819584\pi$
$978$	16.6668			0.532946
$979$	−54.6808	−	20.0303i	−1.74761	−	0.640173i
$980$	−8.41523			−0.268815
$981$	−14.8163	−	10.7647i	−0.473050	−	0.343691i
$982$	5.12363	−	15.7689i	0.163502	−	0.503207i
$983$	2.06649	+	6.36000i	0.0659107	+	0.202852i	0.978588	−	0.205828i	$-0.0659889\pi$
$983$	2.06649	+	6.36000i	0.0659107	+	0.202852i	−0.912677	+	0.408681i	$0.865989\pi$
$984$	0.00945985	−	0.00687298i	0.000301569	−	0.000219103i
$985$	−13.9829	+	10.1592i	−0.445531	+	0.323698i
$986$	−3.08690	−	9.50049i	−0.0983068	−	0.302557i
$987$	3.36702	−	10.3626i	0.107173	−	0.329846i
$988$	−45.9612	−	33.3928i	−1.46222	−	1.06237i
$989$	12.9179			0.410766
$990$	3.61708	+	5.38653i	0.114958	+	0.171195i
$991$	−3.65123			−0.115985			−0.0579925	−	0.998317i	$-0.518470\pi$
$991$	−3.65123			−0.115985			−0.0579925	+	0.998317i	$0.518470\pi$
$992$	−42.5752	−	30.9327i	−1.35176	−	0.982113i
$993$	4.92603	−	15.1608i	0.156323	−	0.481113i
$994$	−5.50536	−	16.9438i	−0.174619	−	0.537423i
$995$	6.79078	−	4.93379i	0.215282	−	0.156412i
$996$	−22.3928	+	16.2694i	−0.709544	+	0.515514i
$997$	2.57026	+	7.91045i	0.0814010	+	0.250527i	0.983472	−	0.181062i	$-0.0579534\pi$
$997$	2.57026	+	7.91045i	0.0814010	+	0.250527i	−0.902071	+	0.431588i	$0.857953\pi$
$998$	−1.53576	+	4.72657i	−0.0486135	+	0.149617i
$999$	3.17147	+	2.30420i	0.100341	+	0.0729018i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.m.c.136.2	yes	8
3.2	odd	2		495.2.n.c.136.1		8
5.2	odd	4		825.2.bx.e.499.1		16
5.3	odd	4		825.2.bx.e.499.4		16
5.4	even	2		825.2.n.j.301.1		8
11.3	even	5	inner	165.2.m.c.91.2	✓	8
11.5	even	5		1815.2.a.u.1.1		4
11.6	odd	10		1815.2.a.q.1.4		4
33.5	odd	10		5445.2.a.bj.1.4		4
33.14	odd	10		495.2.n.c.91.1		8
33.17	even	10		5445.2.a.bq.1.1		4
55.3	odd	20		825.2.bx.e.124.1		16
55.14	even	10		825.2.n.j.751.1		8
55.39	odd	10		9075.2.a.df.1.1		4
55.47	odd	20		825.2.bx.e.124.4		16
55.49	even	10		9075.2.a.co.1.4		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.m.c.91.2	✓	8	11.3	even	5	inner
165.2.m.c.136.2	yes	8	1.1	even	1	trivial
495.2.n.c.91.1		8	33.14	odd	10
495.2.n.c.136.1		8	3.2	odd	2
825.2.n.j.301.1		8	5.4	even	2
825.2.n.j.751.1		8	55.14	even	10
825.2.bx.e.124.1		16	55.3	odd	20
825.2.bx.e.124.4		16	55.47	odd	20
825.2.bx.e.499.1		16	5.2	odd	4
825.2.bx.e.499.4		16	5.3	odd	4
1815.2.a.q.1.4		4	11.6	odd	10
1815.2.a.u.1.1		4	11.5	even	5
5445.2.a.bj.1.4		4	33.5	odd	10
5445.2.a.bq.1.1		4	33.17	even	10
9075.2.a.co.1.4		4	55.49	even	10
9075.2.a.df.1.1		4	55.39	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)

\(f(q)\)	\(=\)	\(q+(1.58268 + 1.14988i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.564602 + 1.73767i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(-1.58268 + 1.14988i) q^{6} +(0.478148 + 1.47159i) q^{7} +(0.104528 - 0.321706i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(1.58268 + 1.14988i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.564602 + 1.73767i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(-1.58268 + 1.14988i) q^{6} +(0.478148 + 1.47159i) q^{7} +(0.104528 - 0.321706i) q^{8} +(-0.809017 - 0.587785i) q^{9} -1.95630 q^{10} +(3.11426 + 1.14079i) q^{11} -1.82709 q^{12} +(-3.36245 - 2.44296i) q^{13} +(-0.935398 + 2.87886i) q^{14} +(-0.309017 - 0.951057i) q^{15} +(3.49165 - 2.53683i) q^{16} +(-0.599960 + 0.435897i) q^{17} +(-0.604528 - 1.86055i) q^{18} +(2.31184 - 7.11511i) q^{19} +(-1.47815 - 1.07394i) q^{20} -1.54732 q^{21} +(3.61708 + 5.38653i) q^{22} -1.15622 q^{23} +(0.273659 + 0.198825i) q^{24} +(0.309017 - 0.951057i) q^{25} +(-2.51255 - 7.73284i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-2.28716 + 1.66172i) q^{28} +(2.12776 + 6.54858i) q^{29} +(0.604528 - 1.86055i) q^{30} +(-5.48176 - 3.98273i) q^{31} +7.76669 q^{32} +(-2.04732 + 2.60931i) q^{33} -1.45077 q^{34} +(-1.25181 - 0.909491i) q^{35} +(0.564602 - 1.73767i) q^{36} +(1.21139 + 3.72828i) q^{37} +(11.8404 - 8.60258i) q^{38} +(3.36245 - 2.44296i) q^{39} +(0.104528 + 0.321706i) q^{40} +(0.0106821 - 0.0328761i) q^{41} +(-2.44890 - 1.77923i) q^{42} -11.1726 q^{43} +(-0.224006 + 6.05563i) q^{44} +1.00000 q^{45} +(-1.82991 - 1.32951i) q^{46} +(-2.17603 + 6.69714i) q^{47} +(1.33369 + 4.10468i) q^{48} +(3.72618 - 2.70723i) q^{49} +(1.58268 - 1.14988i) q^{50} +(-0.229164 - 0.705295i) q^{51} +(2.34661 - 7.22212i) q^{52} +(0.990108 + 0.719355i) q^{53} +1.95630 q^{54} +(-3.19003 + 0.907591i) q^{55} +0.523398 q^{56} +(6.05248 + 4.39738i) q^{57} +(-4.16253 + 12.8109i) q^{58} +(-1.33166 - 4.09843i) q^{59} +(1.47815 - 1.07394i) q^{60} +(-5.30301 + 3.85286i) q^{61} +(-4.09618 - 12.6068i) q^{62} +(0.478148 - 1.47159i) q^{63} +(5.30885 + 3.85711i) q^{64} +4.15622 q^{65} +(-6.24064 + 1.77552i) q^{66} -3.55199 q^{67} +(-1.09618 - 0.796423i) q^{68} +(0.357290 - 1.09963i) q^{69} +(-0.935398 - 2.87886i) q^{70} +(-4.76153 + 3.45946i) q^{71} +(-0.273659 + 0.198825i) q^{72} +(1.41493 + 4.35469i) q^{73} +(-2.36984 + 7.29362i) q^{74} +(0.809017 + 0.587785i) q^{75} +13.6690 q^{76} +(-0.189705 + 5.12837i) q^{77} +8.13078 q^{78} +(-4.99777 - 3.63109i) q^{79} +(-1.33369 + 4.10468i) q^{80} +(0.309017 + 0.951057i) q^{81} +(0.0547100 - 0.0397491i) q^{82} +(12.2560 - 8.90451i) q^{83} +(-0.873619 - 2.68872i) q^{84} +(0.229164 - 0.705295i) q^{85} +(-17.6826 - 12.8471i) q^{86} -6.88558 q^{87} +(0.692528 - 0.882628i) q^{88} -17.5582 q^{89} +(1.58268 + 1.14988i) q^{90} +(1.98728 - 6.11623i) q^{91} +(-0.652802 - 2.00912i) q^{92} +(5.48176 - 3.98273i) q^{93} +(-11.1449 + 8.09723i) q^{94} +(2.31184 + 7.11511i) q^{95} +(-2.40004 + 7.38656i) q^{96} +(0.116756 + 0.0848281i) q^{97} +9.01032 q^{98} +(-1.84894 - 2.75344i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9} + 2 q^{10} - q^{11} - 2 q^{12} - 16 q^{13} - 10 q^{14} + 2 q^{15} + 12 q^{16} - 4 q^{17} - 3 q^{18} + 2 q^{19} - 3 q^{20} - 9 q^{22} + 10 q^{23} - 4 q^{24} - 2 q^{25} + 16 q^{26} + 2 q^{27} - 5 q^{28} - 16 q^{29} + 3 q^{30} - 5 q^{31} - 4 q^{33} + 34 q^{34} + 5 q^{35} + 2 q^{36} - 5 q^{37} + 28 q^{38} + 16 q^{39} - q^{40} + 5 q^{41} - 15 q^{42} - 8 q^{43} - 19 q^{44} + 8 q^{45} + 10 q^{46} - q^{47} + 3 q^{48} - 11 q^{49} + 2 q^{50} + 4 q^{51} + 26 q^{52} - 15 q^{53} - 2 q^{54} - q^{55} + 20 q^{56} + 13 q^{57} - 24 q^{58} + 3 q^{59} + 3 q^{60} - 11 q^{61} - 15 q^{62} - 5 q^{63} - 9 q^{64} + 14 q^{65} - 31 q^{66} + 6 q^{67} + 9 q^{68} + 15 q^{69} - 10 q^{70} + q^{71} + 4 q^{72} - 35 q^{73} + 5 q^{74} + 2 q^{75} + 58 q^{76} - 25 q^{77} + 24 q^{78} - 30 q^{79} - 3 q^{80} - 2 q^{81} - 25 q^{82} + 31 q^{83} - 4 q^{85} - 62 q^{86} - 34 q^{87} + 17 q^{88} - 48 q^{89} + 2 q^{90} + 5 q^{91} - 20 q^{92} + 5 q^{93} - 19 q^{94} + 2 q^{95} - 20 q^{96} + 11 q^{97} + 26 q^{98} - 11 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9 + 2 * q^10 - q^11 - 2 * q^12 - 16 * q^13 - 10 * q^14 + 2 * q^15 + 12 * q^16 - 4 * q^17 - 3 * q^18 + 2 * q^19 - 3 * q^20 - 9 * q^22 + 10 * q^23 - 4 * q^24 - 2 * q^25 + 16 * q^26 + 2 * q^27 - 5 * q^28 - 16 * q^29 + 3 * q^30 - 5 * q^31 - 4 * q^33 + 34 * q^34 + 5 * q^35 + 2 * q^36 - 5 * q^37 + 28 * q^38 + 16 * q^39 - q^40 + 5 * q^41 - 15 * q^42 - 8 * q^43 - 19 * q^44 + 8 * q^45 + 10 * q^46 - q^47 + 3 * q^48 - 11 * q^49 + 2 * q^50 + 4 * q^51 + 26 * q^52 - 15 * q^53 - 2 * q^54 - q^55 + 20 * q^56 + 13 * q^57 - 24 * q^58 + 3 * q^59 + 3 * q^60 - 11 * q^61 - 15 * q^62 - 5 * q^63 - 9 * q^64 + 14 * q^65 - 31 * q^66 + 6 * q^67 + 9 * q^68 + 15 * q^69 - 10 * q^70 + q^71 + 4 * q^72 - 35 * q^73 + 5 * q^74 + 2 * q^75 + 58 * q^76 - 25 * q^77 + 24 * q^78 - 30 * q^79 - 3 * q^80 - 2 * q^81 - 25 * q^82 + 31 * q^83 - 4 * q^85 - 62 * q^86 - 34 * q^87 + 17 * q^88 - 48 * q^89 + 2 * q^90 + 5 * q^91 - 20 * q^92 + 5 * q^93 - 19 * q^94 + 2 * q^95 - 20 * q^96 + 11 * q^97 + 26 * q^98 - 11 * q^99

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