LMFDB - Embedded newform 147.2.k.a.83.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [147,2,Mod(20,147)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(147, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 13]))

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

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

chi := DirichletCharacter("147.20");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 147 = 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	147.k (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.17380090971$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$16$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			83.12
Character	$\chi$	$=$	147.83
Dual form			147.2.k.a.62.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.12332 + 0.256391i) q^{2} +(-0.412913 - 1.68211i) q^{3} +(-0.605818 - 0.291747i) q^{4} +(0.737007 - 0.924177i) q^{5} +(-0.0325555 - 1.99542i) q^{6} +(2.64098 + 0.158781i) q^{7} +(-2.40740 - 1.91984i) q^{8} +(-2.65901 + 1.38913i) q^{9} +O(q^{10})$	\(q+(1.12332 + 0.256391i) q^{2} +(-0.412913 - 1.68211i) q^{3} +(-0.605818 - 0.291747i) q^{4} +(0.737007 - 0.924177i) q^{5} +(-0.0325555 - 1.99542i) q^{6} +(2.64098 + 0.158781i) q^{7} +(-2.40740 - 1.91984i) q^{8} +(-2.65901 + 1.38913i) q^{9} +(1.06485 - 0.849188i) q^{10} +(-0.364141 - 0.0831128i) q^{11} +(-0.240601 + 1.13952i) q^{12} +(3.49852 + 0.798515i) q^{13} +(2.92597 + 0.855488i) q^{14} +(-1.85889 - 0.858124i) q^{15} +(-1.37358 - 1.72242i) q^{16} +(1.68492 - 0.811416i) q^{17} +(-3.34309 + 0.878698i) q^{18} +6.19599i q^{19} +(-0.716118 + 0.344864i) q^{20} +(-0.823407 - 4.50799i) q^{21} +(-0.387739 - 0.186725i) q^{22} +(-3.74512 + 7.77682i) q^{23} +(-2.23534 + 4.84224i) q^{24} +(0.801680 + 3.51239i) q^{25} +(3.72524 + 1.79398i) q^{26} +(3.43461 + 3.89916i) q^{27} +(-1.55363 - 0.866690i) q^{28} +(-4.29473 - 8.91809i) q^{29} +(-1.86812 - 1.44055i) q^{30} -2.56441i q^{31} +(1.57065 + 3.26148i) q^{32} +(0.0105533 + 0.646845i) q^{33} +(2.10075 - 0.479483i) q^{34} +(2.09316 - 2.32371i) q^{35} +(2.01615 - 0.0658048i) q^{36} +(2.59300 - 1.24872i) q^{37} +(-1.58860 + 6.96010i) q^{38} +(-0.101392 - 6.21462i) q^{39} +(-3.54854 + 0.809931i) q^{40} +(0.625457 - 0.784298i) q^{41} +(0.230857 - 5.27505i) q^{42} +(-4.50811 - 5.65299i) q^{43} +(0.196355 + 0.156588i) q^{44} +(-0.675902 + 3.48119i) q^{45} +(-6.20089 + 7.77567i) q^{46} +(0.872890 - 3.82438i) q^{47} +(-2.33013 + 3.02173i) q^{48} +(6.94958 + 0.838677i) q^{49} +4.15109i q^{50} +(-2.06062 - 2.49919i) q^{51} +(-1.88650 - 1.50444i) q^{52} +(-0.716243 + 1.48729i) q^{53} +(2.85847 + 5.26062i) q^{54} +(-0.345186 + 0.275276i) q^{55} +(-6.05307 - 5.45251i) q^{56} +(10.4224 - 2.55840i) q^{57} +(-2.53785 - 11.1190i) q^{58} +(-3.98329 - 4.99489i) q^{59} +(0.875794 + 1.06219i) q^{60} +(1.25947 + 2.61531i) q^{61} +(0.657492 - 2.88066i) q^{62} +(-7.24296 + 3.24647i) q^{63} +(1.90858 + 8.36204i) q^{64} +(3.31640 - 2.64474i) q^{65} +(-0.153991 + 0.729322i) q^{66} +2.19271 q^{67} -1.25748 q^{68} +(14.6279 + 3.08857i) q^{69} +(2.94708 - 2.07361i) q^{70} +(-5.50947 + 11.4405i) q^{71} +(9.06820 + 1.76066i) q^{72} +(-1.83354 + 0.418495i) q^{73} +(3.23294 - 0.737898i) q^{74} +(5.57721 - 2.79883i) q^{75} +(1.80766 - 3.75364i) q^{76} +(-0.948494 - 0.277318i) q^{77} +(1.47948 - 7.00703i) q^{78} -9.70443 q^{79} -2.60416 q^{80} +(5.14063 - 7.38742i) q^{81} +(0.903678 - 0.720659i) q^{82} +(0.261713 + 1.14664i) q^{83} +(-0.816357 + 2.97125i) q^{84} +(0.491907 - 2.15519i) q^{85} +(-3.61469 - 7.50598i) q^{86} +(-13.2279 + 10.9066i) q^{87} +(0.717070 + 0.899178i) q^{88} +(-0.395693 - 1.73365i) q^{89} +(-1.65180 + 3.73721i) q^{90} +(9.11274 + 2.66436i) q^{91} +(4.53772 - 3.61871i) q^{92} +(-4.31362 + 1.05888i) q^{93} +(1.96108 - 4.07222i) q^{94} +(5.72619 + 4.56649i) q^{95} +(4.83764 - 3.98872i) q^{96} +0.378006i q^{97} +(7.59159 + 2.72392i) q^{98} +(1.08371 - 0.284842i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9}+O(q^{10}) $ 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9	$ 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9} - 14 q^{10} - 42 q^{12} - 14 q^{13} - 5 q^{15} - 22 q^{16} - 18 q^{18} - 7 q^{21} + 4 q^{22} - 7 q^{24} - 26 q^{25} - 28 q^{27} + 28 q^{28} - 20 q^{30} - 7 q^{33} - 70 q^{34} - 37 q^{36} + 38 q^{37} - 9 q^{39} - 28 q^{40} + 7 q^{42} - 18 q^{43} + 14 q^{45} + 62 q^{46} + 14 q^{49} - q^{51} + 112 q^{52} - 7 q^{54} - 56 q^{55} + q^{57} - 84 q^{58} + 111 q^{60} + 84 q^{61} - 7 q^{63} - 2 q^{64} + 21 q^{66} - 16 q^{67} - 91 q^{69} - 70 q^{70} - 27 q^{72} - 14 q^{73} + 119 q^{75} + 210 q^{76} - 87 q^{78} - 32 q^{79} - 71 q^{81} - 84 q^{82} + 154 q^{84} + 46 q^{85} + 49 q^{87} - 22 q^{88} + 203 q^{90} - 42 q^{91} + 53 q^{93} - 42 q^{94} - 28 q^{96} + 100 q^{99}+O(q^{100}) $ 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9 - 14 * q^10 - 42 * q^12 - 14 * q^13 - 5 * q^15 - 22 * q^16 - 18 * q^18 - 7 * q^21 + 4 * q^22 - 7 * q^24 - 26 * q^25 - 28 * q^27 + 28 * q^28 - 20 * q^30 - 7 * q^33 - 70 * q^34 - 37 * q^36 + 38 * q^37 - 9 * q^39 - 28 * q^40 + 7 * q^42 - 18 * q^43 + 14 * q^45 + 62 * q^46 + 14 * q^49 - q^51 + 112 * q^52 - 7 * q^54 - 56 * q^55 + q^57 - 84 * q^58 + 111 * q^60 + 84 * q^61 - 7 * q^63 - 2 * q^64 + 21 * q^66 - 16 * q^67 - 91 * q^69 - 70 * q^70 - 27 * q^72 - 14 * q^73 + 119 * q^75 + 210 * q^76 - 87 * q^78 - 32 * q^79 - 71 * q^81 - 84 * q^82 + 154 * q^84 + 46 * q^85 + 49 * q^87 - 22 * q^88 + 203 * q^90 - 42 * q^91 + 53 * q^93 - 42 * q^94 - 28 * q^96 + 100 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/147\mathbb{Z}\right)^\times$.

$n$	$50$	$52$
$\chi(n)$	$-1$	$e\left(\frac{3}{14}\right)$

Coefficient data

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

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

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

$2$	1.12332	+	0.256391i	0.794310	+	0.181296i	0.600375	−	0.799718i	$-0.295018\pi$
$2$	1.12332	+	0.256391i	0.794310	+	0.181296i	0.193935	+	0.981014i	$0.437875\pi$
$3$	−0.412913	−	1.68211i	−0.238395	−	0.971168i
$3$	−0.412913	−	1.68211i	−0.238395	−	0.971168i
$4$	−0.605818	−	0.291747i	−0.302909	−	0.145873i
$5$	0.737007	−	0.924177i	0.329599	−	0.413305i	−0.589226	−	0.807968i	$-0.700567\pi$
$5$	0.737007	−	0.924177i	0.329599	−	0.413305i	0.918826	+	0.394663i	$0.129139\pi$
$6$	−0.0325555	−	1.99542i	−0.0132907	−	0.814629i
$7$	2.64098	+	0.158781i	0.998198	+	0.0600137i
$7$	2.64098	+	0.158781i	0.998198	+	0.0600137i
$8$	−2.40740	−	1.91984i	−0.851144	−	0.678765i
$9$	−2.65901	+	1.38913i	−0.886335	+	0.463044i
$10$	1.06485	−	0.849188i	0.336735	−	0.268537i
$11$	−0.364141	−	0.0831128i	−0.109793	−	0.0250595i	0.167272	−	0.985911i	$-0.446504\pi$
$11$	−0.364141	−	0.0831128i	−0.109793	−	0.0250595i	−0.277064	+	0.960851i	$0.589361\pi$
$12$	−0.240601	+	1.13952i	−0.0694554	+	0.328951i
$13$	3.49852	+	0.798515i	0.970315	+	0.221468i	0.678169	−	0.734906i	$-0.262774\pi$
$13$	3.49852	+	0.798515i	0.970315	+	0.221468i	0.292146	+	0.956374i	$0.405631\pi$
$14$	2.92597	+	0.855488i	0.781998	+	0.228639i
$15$	−1.85889	−	0.858124i	−0.479963	−	0.221567i
$16$	−1.37358	−	1.72242i	−0.343395	−	0.430604i
$17$	1.68492	−	0.811416i	0.408654	−	0.196797i	−0.218252	−	0.975892i	$-0.570035\pi$
$17$	1.68492	−	0.811416i	0.408654	−	0.196797i	0.626906	+	0.779095i	$0.284321\pi$
$18$	−3.34309	+	0.878698i	−0.787973	+	0.207111i
$19$			6.19599i			1.42146i	0.703466	+	0.710729i	$0.251635\pi$
$19$			6.19599i			1.42146i	−0.703466	+	0.710729i	$0.748365\pi$
$20$	−0.716118	+	0.344864i	−0.160129	+	0.0771140i
$21$	−0.823407	−	4.50799i	−0.179682	−	0.983725i
$22$	−0.387739	−	0.186725i	−0.0826662	−	0.0398100i
$23$	−3.74512	+	7.77682i	−0.780911	+	1.62158i	0.00243753	+	0.999997i	$0.499224\pi$
$23$	−3.74512	+	7.77682i	−0.780911	+	1.62158i	−0.783349	+	0.621582i	$0.786490\pi$
$24$	−2.23534	+	4.84224i	−0.456286	+	0.988419i
$25$	0.801680	+	3.51239i	0.160336	+	0.702478i
$26$	3.72524	+	1.79398i	0.730580	+	0.351829i
$27$	3.43461	+	3.89916i	0.660992	+	0.750393i
$28$	−1.55363	−	0.866690i	−0.293609	−	0.163789i
$29$	−4.29473	−	8.91809i	−0.797511	−	1.65605i	−0.753890	−	0.657000i	$-0.771825\pi$
$29$	−4.29473	−	8.91809i	−0.797511	−	1.65605i	−0.0436204	−	0.999048i	$-0.513889\pi$
$30$	−1.86812	−	1.44055i	−0.341070	−	0.263008i
$31$		−	2.56441i		−	0.460581i	−0.973122	−	0.230291i	$-0.926032\pi$
$31$		−	2.56441i		−	0.460581i	0.973122	−	0.230291i	$-0.0739677\pi$
$32$	1.57065	+	3.26148i	0.277654	+	0.576555i
$33$	0.0105533	+	0.646845i	0.00183710	+	0.112601i
$34$	2.10075	−	0.479483i	0.360276	−	0.0822307i
$35$	2.09316	−	2.32371i	0.353809	−	0.392779i
$36$	2.01615	−	0.0658048i	0.336025	−	0.0109675i
$37$	2.59300	−	1.24872i	0.426287	−	0.205289i	−0.208424	−	0.978039i	$-0.566833\pi$
$37$	2.59300	−	1.24872i	0.426287	−	0.205289i	0.634711	+	0.772750i	$0.281119\pi$
$38$	−1.58860	+	6.96010i	−0.257705	+	1.12908i
$39$	−0.101392	−	6.21462i	−0.0162357	−	0.995136i
$40$	−3.54854	+	0.809931i	−0.561073	+	0.128061i
$41$	0.625457	−	0.784298i	0.0976800	−	0.122487i	−0.730589	−	0.682817i	$-0.760754\pi$
$41$	0.625457	−	0.784298i	0.0976800	−	0.122487i	0.828269	+	0.560331i	$0.189326\pi$
$42$	0.230857	−	5.27505i	0.0356221	−	0.813958i
$43$	−4.50811	−	5.65299i	−0.687481	−	0.862074i	0.308539	−	0.951212i	$-0.400160\pi$
$43$	−4.50811	−	5.65299i	−0.687481	−	0.862074i	−0.996019	+	0.0891383i	$0.971589\pi$
$44$	0.196355	+	0.156588i	0.0296017	+	0.0236066i
$45$	−0.675902	+	3.48119i	−0.100758	+	0.518946i
$46$	−6.20089	+	7.77567i	−0.914271	+	1.14646i
$47$	0.872890	−	3.82438i	0.127324	−	0.557844i	−0.870515	−	0.492142i	$-0.836214\pi$
$47$	0.872890	−	3.82438i	0.127324	−	0.557844i	0.997839	−	0.0657019i	$-0.0209287\pi$
$48$	−2.33013	+	3.02173i	−0.336325	+	0.436149i
$49$	6.94958	+	0.838677i	0.992797	+	0.119811i
$50$			4.15109i			0.587053i
$51$	−2.06062	−	2.49919i	−0.288544	−	0.349956i
$52$	−1.88650	−	1.50444i	−0.261611	−	0.208628i
$53$	−0.716243	+	1.48729i	−0.0983836	+	0.204296i	−0.944351	−	0.328938i	$-0.893309\pi$
$53$	−0.716243	+	1.48729i	−0.0983836	+	0.204296i	0.845968	+	0.533234i	$0.179023\pi$
$54$	2.85847	+	5.26062i	0.388989	+	0.715880i
$55$	−0.345186	+	0.275276i	−0.0465448	+	0.0371182i
$56$	−6.05307	−	5.45251i	−0.808875	−	0.728622i
$57$	10.4224	−	2.55840i	1.38047	−	0.338869i
$58$	−2.53785	−	11.1190i	−0.333236	−	1.46000i
$59$	−3.98329	−	4.99489i	−0.518581	−	0.650280i	0.451726	−	0.892157i	$-0.350808\pi$
$59$	−3.98329	−	4.99489i	−0.518581	−	0.650280i	−0.970307	+	0.241877i	$0.922237\pi$
$60$	0.875794	+	1.06219i	0.113065	+	0.137128i
$61$	1.25947	+	2.61531i	0.161258	+	0.334857i	0.965905	−	0.258898i	$-0.0833593\pi$
$61$	1.25947	+	2.61531i	0.161258	+	0.334857i	−0.804646	+	0.593755i	$0.797645\pi$
$62$	0.657492	−	2.88066i	0.0835016	−	0.365844i
$63$	−7.24296	+	3.24647i	−0.912527	+	0.409017i
$64$	1.90858	+	8.36204i	0.238573	+	1.04526i
$65$	3.31640	−	2.64474i	0.411349	−	0.328040i
$66$	−0.153991	+	0.729322i	−0.0189549	+	0.0897733i
$67$	2.19271			0.267883			0.133941	−	0.990989i	$-0.457237\pi$
$67$	2.19271			0.267883			0.133941	+	0.990989i	$0.457237\pi$
$68$	−1.25748			−0.152492
$69$	14.6279	+	3.08857i	1.76099	+	0.371820i
$70$	2.94708	−	2.07361i	0.352244	−	0.247844i
$71$	−5.50947	+	11.4405i	−0.653854	+	1.35774i	0.265424	+	0.964132i	$0.414488\pi$
$71$	−5.50947	+	11.4405i	−0.653854	+	1.35774i	−0.919278	+	0.393609i	$0.871226\pi$
$72$	9.06820	+	1.76066i	1.06870	+	0.207496i
$73$	−1.83354	+	0.418495i	−0.214600	+	0.0489811i	−0.328469	−	0.944515i	$-0.606533\pi$
$73$	−1.83354	+	0.418495i	−0.214600	+	0.0489811i	0.113869	+	0.993496i	$0.463676\pi$
$74$	3.23294	−	0.737898i	0.375822	−	0.0857789i
$75$	5.57721	−	2.79883i	0.644001	−	0.323181i
$76$	1.80766	−	3.75364i	0.207353	−	0.430572i
$77$	−0.948494	−	0.277318i	−0.108091	−	0.0316034i
$78$	1.47948	−	7.00703i	0.167518	−	0.793390i
$79$	−9.70443			−1.09183			−0.545917	−	0.837839i	$-0.683818\pi$
$79$	−9.70443			−1.09183			−0.545917	+	0.837839i	$0.683818\pi$
$80$	−2.60416			−0.291154
$81$	5.14063	−	7.38742i	0.571181	−	0.820824i
$82$	0.903678	−	0.720659i	0.0997945	−	0.0795835i
$83$	0.261713	+	1.14664i	0.0287267	+	0.125860i	0.987258	−	0.159127i	$-0.0508679\pi$
$83$	0.261713	+	1.14664i	0.0287267	+	0.125860i	−0.958531	+	0.284987i	$0.908011\pi$
$84$	−0.816357	+	2.97125i	−0.0890718	+	0.324190i
$85$	0.491907	−	2.15519i	0.0533548	−	0.233763i
$86$	−3.61469	−	7.50598i	−0.389782	−	0.809391i
$87$	−13.2279	+	10.9066i	−1.41818	+	1.16931i
$88$	0.717070	+	0.899178i	0.0764399	+	0.0958527i
$89$	−0.395693	−	1.73365i	−0.0419434	−	0.183766i	0.949617	−	0.313414i	$-0.101473\pi$
$89$	−0.395693	−	1.73365i	−0.0419434	−	0.183766i	−0.991560	+	0.129647i	$0.958615\pi$
$90$	−1.65180	+	3.73721i	−0.174115	+	0.393937i
$91$	9.11274	+	2.66436i	0.955275	+	0.279301i
$92$	4.53772	−	3.61871i	0.473090	−	0.377277i
$93$	−4.31362	+	1.05888i	−0.447302	+	0.109800i
$94$	1.96108	−	4.07222i	0.202270	−	0.420017i
$95$	5.72619	+	4.56649i	0.587495	+	0.468512i
$96$	4.83764	−	3.98872i	0.493740	−	0.407097i
$97$			0.378006i			0.0383807i	0.999816	+	0.0191904i	$0.00610886\pi$
$97$			0.378006i			0.0383807i	−0.999816	+	0.0191904i	$0.993891\pi$
$98$	7.59159	+	2.72392i	0.766867	+	0.275157i
$99$	1.08371	−	0.284842i	0.108917	−	0.0286277i
$100$	0.539056	−	2.36176i	0.0539056	−	0.236176i
$101$	6.72670	−	8.43501i	0.669331	−	0.839315i	−0.324992	−	0.945717i	$-0.605362\pi$
$101$	6.72670	−	8.43501i	0.669331	−	0.839315i	0.994323	+	0.106402i	$0.0339330\pi$
$102$	−1.67397	−	3.33572i	−0.165748	−	0.330286i
$103$	−13.4070	−	10.6917i	−1.32103	−	1.05348i	−0.994104	−	0.108434i	$-0.965416\pi$
$103$	−13.4070	−	10.6917i	−1.32103	−	1.05348i	−0.326924	−	0.945051i	$-0.606012\pi$
$104$	−6.88932	−	8.63894i	−0.675553	−	0.847117i
$105$	−4.77304	−	2.56145i	−0.465801	−	0.249972i
$106$	−1.18590	+	1.48707i	−0.115185	+	0.144437i
$107$	−6.82025	+	1.55668i	−0.659338	+	0.150490i	−0.539082	−	0.842253i	$-0.681229\pi$
$107$	−6.82025	+	1.55668i	−0.659338	+	0.150490i	−0.120256	+	0.992743i	$0.538372\pi$
$108$	−0.943184	−	3.36422i	−0.0907580	−	0.323722i
$109$	−0.565627	+	2.47818i	−0.0541773	+	0.237366i	−0.994766	−	0.102183i	$-0.967417\pi$
$109$	−0.565627	+	2.47818i	−0.0541773	+	0.237366i	0.940588	+	0.339549i	$0.110274\pi$
$110$	−0.458334	+	0.220722i	−0.0437004	+	0.0210450i
$111$	−3.17118	−	3.84611i	−0.300995	−	0.365056i
$112$	−3.35412	−	4.76697i	−0.316934	−	0.450436i
$113$	5.00241	−	1.14177i	0.470587	−	0.107408i	0.0193502	−	0.999813i	$-0.493840\pi$
$113$	5.00241	−	1.14177i	0.470587	−	0.107408i	0.451236	+	0.892404i	$0.350983\pi$
$114$	12.3636	−	0.201714i	1.15796	−	0.0188922i
$115$	4.42698	+	9.19272i	0.412818	+	0.857226i
$116$			6.65571i			0.617968i
$117$	−10.4118	+	2.73665i	−0.962574	+	0.253003i
$118$	−3.19388	−	6.63216i	−0.294021	−	0.610540i
$119$	4.57869	−	1.87540i	0.419728	−	0.171918i
$120$	2.82763	+	5.63461i	0.258126	+	0.514367i
$121$	−9.78497	−	4.71219i	−0.889542	−	0.428381i
$122$	0.744247	+	3.26076i	0.0673810	+	0.295215i
$123$	−1.57754	−	0.728242i	−0.142242	−	0.0656634i
$124$	−0.748158	+	1.55357i	−0.0671865	+	0.139514i
$125$	9.16194	+	4.41216i	0.819469	+	0.394635i
$126$	−8.96855	+	1.78981i	−0.798982	+	0.159449i
$127$	−6.99848	+	3.37029i	−0.621015	+	0.299065i	−0.717810	−	0.696239i	$-0.754855\pi$
$127$	−6.99848	+	3.37029i	−0.621015	+	0.299065i	0.0967947	+	0.995304i	$0.469141\pi$
$128$			2.64267i			0.233581i
$129$	−7.64752	+	9.91735i	−0.673326	+	0.873174i
$130$	4.40348	−	2.12061i	0.386211	−	0.185989i
$131$	11.2209	+	14.0706i	0.980378	+	1.22936i	0.973337	+	0.229380i	$0.0736698\pi$
$131$	11.2209	+	14.0706i	0.980378	+	1.22936i	0.00704090	+	0.999975i	$0.497759\pi$
$132$	0.182321	−	0.394949i	0.0158690	−	0.0343759i
$133$	−0.983808	+	16.3635i	−0.0853070	+	1.41890i
$134$	2.46313	+	0.562193i	0.212782	+	0.0485661i
$135$	6.13485	−	0.300485i	0.528003	−	0.0258616i
$136$	−5.61407	−	1.28138i	−0.481403	−	0.109877i
$137$	−10.8004	+	8.61303i	−0.922741	+	0.735861i	−0.964726	−	0.263257i	$-0.915203\pi$
$137$	−10.8004	+	8.61303i	−0.922741	+	0.735861i	0.0419850	+	0.999118i	$0.486632\pi$
$138$	15.6400	+	7.21992i	1.33136	+	0.614601i
$139$	−10.4135	−	8.30450i	−0.883263	−	0.704379i	0.0728608	−	0.997342i	$-0.476787\pi$
$139$	−10.4135	−	8.30450i	−0.883263	−	0.704379i	−0.956124	+	0.292964i	$0.905359\pi$
$140$	−1.94601	+	0.797074i	−0.164468	+	0.0673650i
$141$	−6.79347	+	0.110836i	−0.572113	+	0.00933409i
$142$	−9.12217	+	11.4388i	−0.765515	+	0.959926i
$143$	−1.20759	−	0.581544i	−0.100984	−	0.0486312i
$144$	6.04502	+	2.67183i	0.503752	+	0.222653i
$145$	−11.4071	−	2.60361i	−0.947312	−	0.216218i
$146$	−2.16696			−0.179339
$147$	−1.45882	−	12.0363i	−0.120321	−	0.992735i
$148$	−1.93520			−0.159072
$149$	19.5051	+	4.45190i	1.59792	+	0.364714i	0.926479	−	0.376347i	$-0.122820\pi$
$149$	19.5051	+	4.45190i	1.59792	+	0.364714i	0.671437	+	0.741061i	$0.265677\pi$
$150$	6.98261	−	1.71404i	0.570128	−	0.139951i
$151$	10.2170	+	4.92024i	0.831447	+	0.400404i	0.800658	−	0.599122i	$-0.204484\pi$
$151$	10.2170	+	4.92024i	0.831447	+	0.400404i	0.0307893	+	0.999526i	$0.490198\pi$
$152$	11.8953	−	14.9162i	0.964836	−	1.20987i
$153$	−3.35306	+	4.49814i	−0.271079	+	0.363653i
$154$	−0.994363	−	0.554704i	−0.0801281	−	0.0446993i
$155$	−2.36997	−	1.88999i	−0.190360	−	0.151807i
$156$	−1.75167	+	3.79451i	−0.140246	+	0.303804i
$157$	14.1978	−	11.3224i	1.13311	−	0.903626i	0.136899	−	0.990585i	$-0.456286\pi$
$157$	14.1978	−	11.3224i	1.13311	−	0.903626i	0.996212	+	0.0869588i	$0.0277149\pi$
$158$	−10.9012	−	2.48813i	−0.867254	−	0.197945i
$159$	2.79754	+	0.590679i	0.221860	+	0.0468439i
$160$	4.17177	+	0.952179i	0.329807	+	0.0752764i
$161$	−11.1256	+	19.9438i	−0.876821	+	1.57179i
$162$	7.66866	−	6.98045i	0.602507	−	0.548436i
$163$	3.69179	+	4.62936i	0.289163	+	0.362599i	0.905102	−	0.425195i	$-0.139794\pi$
$163$	3.69179	+	4.62936i	0.289163	+	0.362599i	−0.615939	+	0.787794i	$0.711223\pi$
$164$	−0.607730	+	0.292667i	−0.0474557	+	0.0228535i
$165$	0.605577	+	0.466976i	0.0471441	+	0.0363540i
$166$			1.35515i			0.105180i
$167$	−18.8368	+	9.07133i	−1.45764	+	0.701961i	−0.983902	−	0.178708i	$-0.942808\pi$
$167$	−18.8368	+	9.07133i	−1.45764	+	0.701961i	−0.473734	+	0.880668i	$0.657094\pi$
$168$	−6.67234	+	12.4333i	−0.514782	+	0.959254i
$169$	−0.110572	−	0.0532485i	−0.00850552	−	0.00409604i
$170$	1.10514	−	2.29485i	0.0847606	−	0.176007i
$171$	−8.60705	−	16.4752i	−0.658197	−	1.25989i
$172$	1.08185	+	4.73991i	0.0824906	+	0.361415i
$173$	−14.9094	−	7.17997i	−1.13354	−	0.545883i	−0.229489	−	0.973311i	$-0.573705\pi$
$173$	−14.9094	−	7.17997i	−1.13354	−	0.545883i	−0.904049	+	0.427428i	$0.859420\pi$
$174$	−17.6556	+	8.86014i	−1.33846	+	0.671685i
$175$	1.55952	+	9.40345i	0.117889	+	0.710834i
$176$	0.357023	+	0.741365i	0.0269116	+	0.0558825i
$177$	−6.75722	+	8.76280i	−0.507904	+	0.658653i
$178$		−	2.04890i		−	0.153571i
$179$	−6.57736	−	13.6580i	−0.491615	−	1.02085i	−0.988244	−	0.152886i	$-0.951143\pi$
$179$	−6.57736	−	13.6580i	−0.491615	−	1.02085i	0.496629	−	0.867963i	$-0.334571\pi$
$180$	1.42510	−	1.91178i	0.106221	−	0.142495i
$181$	−7.17103	+	1.63674i	−0.533019	+	0.121658i	−0.480555	−	0.876965i	$-0.659565\pi$
$181$	−7.17103	+	1.63674i	−0.533019	+	0.121658i	−0.0524641	+	0.998623i	$0.516708\pi$
$182$	9.55344	+	5.32937i	0.708148	+	0.395039i
$183$	3.87920	−	3.19846i	0.286759	−	0.236437i
$184$	23.9462	−	11.5319i	1.76534	−	0.850143i
$185$	0.757018	−	3.31671i	0.0556571	−	0.243850i
$186$	−5.11708	+	0.0834857i	−0.375203	+	0.00612147i
$187$	−0.680989	+	0.155431i	−0.0497989	+	0.0113663i
$188$	−1.64456	+	2.06222i	−0.119942	+	0.150403i
$189$	8.45164	+	10.8430i	0.614766	+	0.788709i
$190$	5.26156	+	6.59779i	0.381714	+	0.478654i
$191$	2.54309	+	2.02805i	0.184012	+	0.146744i	0.711163	−	0.703027i	$-0.248169\pi$
$191$	2.54309	+	2.02805i	0.184012	+	0.146744i	−0.527152	+	0.849771i	$0.676740\pi$
$192$	13.2778	−	6.66324i	0.958244	−	0.480878i
$193$	1.94676	−	2.44116i	0.140131	−	0.175718i	−0.706814	−	0.707400i	$-0.749868\pi$
$193$	1.94676	−	2.44116i	0.140131	−	0.175718i	0.846944	+	0.531681i	$0.178440\pi$
$194$	−0.0969175	+	0.424624i	−0.00695827	+	0.0304862i
$195$	−5.81814	−	4.48652i	−0.416646	−	0.321286i
$196$	−3.96550	−	2.53560i	−0.283250	−	0.181114i
$197$		−	1.05167i		−	0.0749287i	−0.999298	−	0.0374644i	$-0.988072\pi$
$197$		−	1.05167i		−	0.0749287i	0.999298	−	0.0374644i	$-0.0119281\pi$
$198$	1.29039	−	0.0421168i	0.0917038	−	0.00299311i
$199$	18.7306	+	14.9371i	1.32777	+	1.05886i	0.993191	+	0.116498i	$0.0371670\pi$
$199$	18.7306	+	14.9371i	1.32777	+	1.05886i	0.334583	+	0.942366i	$0.391404\pi$
$200$	4.81325	−	9.99482i	0.340348	−	0.706741i
$201$	−0.905400	−	3.68839i	−0.0638620	−	0.260159i
$202$	9.71892	−	7.75058i	0.683821	−	0.545329i
$203$	−9.92627	−	24.2345i	−0.696688	−	1.70092i
$204$	0.519232	+	2.11523i	0.0363535	+	0.148096i
$205$	−0.263865	−	1.15607i	−0.0184291	−	0.0807432i
$206$	−12.3191	−	15.4477i	−0.858313	−	1.07629i
$207$	−0.844730	−	25.8811i	−0.0587128	−	1.79886i
$208$	−3.43013	−	7.12274i	−0.237837	−	0.493873i
$209$	0.514967	−	2.25622i	0.0356210	−	0.156066i
$210$	−4.70494	−	4.10110i	−0.324672	−	0.283003i
$211$	1.71122	+	7.49734i	0.117805	+	0.516138i	0.999054	+	0.0434855i	$0.0138462\pi$
$211$	1.71122	+	7.49734i	0.117805	+	0.516138i	−0.881249	+	0.472652i	$0.843297\pi$
$212$	0.867826	−	0.692068i	0.0596026	−	0.0475314i
$213$	21.5192	+	4.54361i	1.47447	+	0.311323i
$214$	−8.06046			−0.551002
$215$	−8.54688			−0.582892
$216$	−0.782737	−	15.9807i	−0.0532585	−	1.08735i
$217$	0.407180	−	6.77256i	0.0276412	−	0.459751i
$218$	−1.27077	+	2.63877i	−0.0860671	+	0.178720i
$219$	1.46105	+	2.91143i	0.0987285	+	0.196736i
$220$	0.289431	−	0.0660606i	0.0195134	−	0.00445381i
$221$	6.54267	−	1.49332i	0.440107	−	0.100452i
$222$	−2.57615	−	5.13349i	−0.172900	−	0.344537i
$223$	7.13339	−	14.8126i	0.477687	−	0.991927i	−0.513330	−	0.858191i	$-0.671588\pi$
$223$	7.13339	−	14.8126i	0.477687	−	0.991927i	0.991017	−	0.133736i	$-0.0426974\pi$
$224$	3.63019	+	8.86291i	0.242552	+	0.592178i
$225$	−7.01084	−	8.22583i	−0.467390	−	0.548388i
$226$	5.91206			0.393264
$227$	24.1593			1.60351			0.801755	−	0.597653i	$-0.203900\pi$
$227$	24.1593			1.60351			0.801755	+	0.597653i	$0.203900\pi$
$228$	−7.06046	−	1.49076i	−0.467590	−	0.0987280i
$229$	17.7670	−	14.1687i	1.17408	−	0.936297i	0.175243	−	0.984525i	$-0.443929\pi$
$229$	17.7670	−	14.1687i	1.17408	−	0.936297i	0.998836	+	0.0482279i	$0.0153574\pi$
$230$	2.61600	+	11.4614i	0.172494	+	0.755745i
$231$	−0.0748357	+	1.70998i	−0.00492383	+	0.112509i
$232$	−6.78216	+	29.7146i	−0.445271	+	1.95086i
$233$	−2.57149	−	5.33976i	−0.168464	−	0.349819i	0.799596	−	0.600539i	$-0.205047\pi$
$233$	−2.57149	−	5.33976i	−0.168464	−	0.349819i	−0.968060	+	0.250719i	$0.919333\pi$
$234$	−12.3975	+	0.404641i	−0.810451	+	0.0264522i
$235$	−2.89108	−	3.62530i	−0.188593	−	0.236489i
$236$	0.955908	+	4.18811i	0.0622243	+	0.272623i
$237$	4.00708	+	16.3239i	0.260288	+	1.06035i
$238$	5.62419	−	0.932747i	0.364562	−	0.0604610i
$239$	16.4573	−	13.1243i	1.06453	−	0.848937i	0.0755768	−	0.997140i	$-0.475920\pi$
$239$	16.4573	−	13.1243i	1.06453	−	0.848937i	0.988957	+	0.148203i	$0.0473488\pi$
$240$	1.07529	+	4.38049i	0.0694096	+	0.282759i
$241$	10.9842	−	22.8090i	0.707555	−	1.46925i	−0.167824	−	0.985817i	$-0.553674\pi$
$241$	10.9842	−	22.8090i	0.707555	−	1.46925i	0.875379	−	0.483437i	$-0.160612\pi$
$242$	−9.78352	−	7.80210i	−0.628908	−	0.501538i
$243$	−14.5491	−	5.59676i	−0.933325	−	0.359032i
$244$		−	1.95185i		−	0.124954i
$245$	5.89697	−	5.80453i	0.376744	−	0.370838i
$246$	−1.58537	−	1.22252i	−0.101079	−	0.0779450i
$247$	−4.94759	+	21.6768i	−0.314808	+	1.37926i
$248$	−4.92325	+	6.17356i	−0.312627	+	0.392021i
$249$	1.82071	−	0.913693i	0.115383	−	0.0579029i
$250$	9.16059	+	7.30533i	0.579366	+	0.462029i
$251$	9.73959	+	12.2131i	0.614758	+	0.770882i	0.987596	−	0.157015i	$-0.0501869\pi$
$251$	9.73959	+	12.2131i	0.614758	+	0.770882i	−0.372839	+	0.927896i	$0.621616\pi$
$252$	5.33506	+	0.146337i	0.336077	+	0.00921838i
$253$	2.01011	−	2.52059i	0.126374	−	0.158468i
$254$	−8.72568	+	1.99158i	−0.547498	+	0.124963i
$255$	−3.82838	+	0.0624604i	−0.239743	+	0.00391142i
$256$	3.13960	−	13.7555i	0.196225	−	0.859719i
$257$	−16.4324	+	7.91345i	−1.02503	+	0.493627i	−0.869359	−	0.494182i	$-0.835468\pi$
$257$	−16.4324	+	7.91345i	−1.02503	+	0.493627i	−0.155669	+	0.987809i	$0.549753\pi$
$258$	−11.1334	+	9.17963i	−0.693133	+	0.571499i
$259$	7.04635	−	2.88614i	0.437839	−	0.179336i
$260$	−2.78073	+	0.634684i	−0.172454	+	0.0393614i
$261$	23.8081	+	17.7473i	1.47369	+	1.09853i
$262$	8.99716	+	18.6828i	0.555847	+	1.15423i
$263$		−	8.58144i		−	0.529154i	−0.964365	−	0.264577i	$-0.914768\pi$
$263$		−	8.58144i		−	0.529154i	0.964365	−	0.264577i	$-0.0852323\pi$
$264$	1.21643	−	1.57747i	0.0748661	−	0.0970869i
$265$	0.846648	+	1.75808i	0.0520091	+	0.107998i
$266$	−5.30060	+	18.1293i	−0.325000	+	1.11158i
$267$	−2.75280	+	1.38145i	−0.168469	+	0.0845431i
$268$	−1.32839	−	0.639717i	−0.0811441	−	0.0390769i
$269$	5.30583	+	23.2464i	0.323502	+	1.41736i	0.831274	+	0.555863i	$0.187612\pi$
$269$	5.30583	+	23.2464i	0.323502	+	1.41736i	−0.507772	+	0.861492i	$0.669531\pi$
$270$	6.96846	+	1.23538i	0.424087	+	0.0751828i
$271$	−5.89601	+	12.2432i	−0.358157	+	0.743721i	−0.999728	−	0.0233434i	$-0.992569\pi$
$271$	−5.89601	+	12.2432i	−0.358157	+	0.743721i	0.641571	+	0.767064i	$0.278283\pi$
$272$	−3.71198	−	1.78759i	−0.225072	−	0.108389i
$273$	0.718991	−	16.4288i	0.0435153	−	0.994317i
$274$	−14.3407	+	6.90610i	−0.866351	+	0.417212i
$275$		−	1.34564i		−	0.0811449i
$276$	−7.96077	−	6.13875i	−0.479182	−	0.369509i
$277$	0.995671	−	0.479490i	0.0598241	−	0.0288098i	−0.403733	−	0.914877i	$-0.632287\pi$
$277$	0.995671	−	0.479490i	0.0598241	−	0.0288098i	0.463557	+	0.886067i	$0.346573\pi$
$278$	−9.56855	−	11.9986i	−0.573883	−	0.719627i
$279$	3.56230	+	6.81878i	0.213269	+	0.408230i
$280$	−9.50023	+	1.57557i	−0.567748	+	0.0941584i
$281$	−5.87606	−	1.34117i	−0.350536	−	0.0800077i	0.0436273	−	0.999048i	$-0.486109\pi$
$281$	−5.87606	−	1.34117i	−0.350536	−	0.0800077i	−0.394164	+	0.919040i	$0.628966\pi$
$282$	−7.65968	−	1.61728i	−0.456128	−	0.0963077i
$283$	−11.7646	−	2.68520i	−0.699334	−	0.159618i	−0.141951	−	0.989874i	$-0.545337\pi$
$283$	−11.7646	−	2.68520i	−0.699334	−	0.159618i	−0.557383	+	0.830255i	$0.688195\pi$
$284$	6.67547	−	5.32351i	0.396116	−	0.315892i
$285$	5.31693	−	11.5177i	0.314948	−	0.682248i
$286$	−1.20741	−	0.962877i	−0.0713957	−	0.0569361i
$287$	1.77635	−	1.97201i	0.104855	−	0.116404i
$288$	−8.70699	−	6.49047i	−0.513065	−	0.382455i
$289$	−8.41876	+	10.5568i	−0.495221	+	0.620987i
$290$	−12.1464	−	5.84938i	−0.713259	−	0.343488i
$291$	0.635849	−	0.156084i	0.0372741	−	0.00914978i
$292$	1.23289	+	0.281399i	0.0721494	+	0.0164676i
$293$	12.4004			0.724436			0.362218	−	0.932093i	$-0.382020\pi$
$293$	12.4004			0.724436			0.362218	+	0.932093i	$0.382020\pi$
$294$	1.44727	−	13.8947i	0.0844065	−	0.810353i
$295$	−7.55188			−0.439687
$296$	−8.63974	−	1.97196i	−0.502175	−	0.114618i
$297$	−0.926614	−	1.70530i	−0.0537676	−	0.0989518i
$298$	20.7691	+	10.0019i	1.20312	+	0.579392i
$299$	−19.3123	+	24.2168i	−1.11686	+	1.40050i
$300$	−4.19532	+	0.0684471i	−0.242217	+	0.00395180i
$301$	−11.0083	−	15.6453i	−0.634505	−	0.901778i
$302$	10.2155	+	8.14657i	0.587835	+	0.468783i
$303$	−16.9662	−	7.83214i	−0.974681	−	0.449945i
$304$	10.6721	−	8.51070i	0.612086	−	0.488122i
$305$	3.34525	+	0.763532i	0.191548	+	0.0437197i
$306$	−4.91985	+	4.19317i	−0.281249	+	0.239708i
$307$	−6.76022	−	1.54298i	−0.385826	−	0.0880623i	0.0252082	−	0.999682i	$-0.491975\pi$
$307$	−6.76022	−	1.54298i	−0.385826	−	0.0880623i	−0.411034	+	0.911620i	$0.634832\pi$
$308$	0.493708	+	0.444724i	0.0281316	+	0.0253405i
$309$	−12.4487	+	26.9668i	−0.708184	+	1.53409i
$310$	−2.17767	−	2.73071i	−0.123683	−	0.155094i
$311$	4.83398	−	2.32792i	0.274110	−	0.132004i	−0.291779	−	0.956486i	$-0.594247\pi$
$311$	4.83398	−	2.32792i	0.274110	−	0.132004i	0.565889	+	0.824481i	$0.308533\pi$
$312$	−11.6870	+	15.1557i	−0.661645	+	0.858025i
$313$		−	20.6120i		−	1.16506i	−0.812809	−	0.582530i	$-0.802063\pi$
$313$		−	20.6120i		−	1.16506i	0.812809	−	0.582530i	$-0.197937\pi$
$314$	18.8517	−	9.07852i	1.06387	−	0.512331i
$315$	−2.33779	+	9.08645i	−0.131720	+	0.511963i
$316$	5.87912	+	2.83123i	0.330726	+	0.159269i
$317$	4.04810	−	8.40596i	0.227364	−	0.472126i	−0.755812	−	0.654789i	$-0.772758\pi$
$317$	4.04810	−	8.40596i	0.227364	−	0.472126i	0.983176	+	0.182663i	$0.0584718\pi$
$318$	2.99110	+	1.38079i	0.167733	+	0.0774308i
$319$	0.822679	+	3.60439i	0.0460612	+	0.201807i
$320$	9.13465	+	4.39901i	0.510642	+	0.245912i
$321$	5.43467	+	10.8296i	0.303334	+	0.604452i
$322$	−17.6111	+	19.5508i	−0.981427	+	1.08952i
$323$	5.02753	+	10.4398i	0.279739	+	0.580884i
$324$	−5.26954	+	2.97567i	−0.292752	+	0.165315i
$325$			12.9283i			0.717134i
$326$	2.96015	+	6.14681i	0.163947	+	0.340440i
$327$	4.40213	−	0.0718211i	0.243438	−	0.00397172i
$328$	−3.01145	+	0.687344i	−0.166280	+	0.0379522i
$329$	2.91253	−	9.96153i	0.160573	−	0.549197i
$330$	0.560531	+	0.679830i	0.0308562	+	0.0374234i
$331$	20.2602	−	9.75679i	1.11360	−	0.536282i	0.215691	−	0.976462i	$-0.430800\pi$
$331$	20.2602	−	9.75679i	1.11360	−	0.536282i	0.897910	+	0.440180i	$0.145085\pi$
$332$	0.175978	−	0.771009i	0.00965804	−	0.0423146i
$333$	−5.16017	+	6.92239i	−0.282775	+	0.379344i
$334$	−23.4856	+	5.36045i	−1.28508	+	0.293311i
$335$	1.61605	−	2.02646i	0.0882940	−	0.110717i
$336$	−6.63363	+	7.61035i	−0.361894	+	0.415178i
$337$	−4.49594	−	5.63773i	−0.244909	−	0.307106i	0.644150	−	0.764900i	$-0.277211\pi$
$337$	−4.49594	−	5.63773i	−0.244909	−	0.307106i	−0.889059	+	0.457793i	$0.848640\pi$
$338$	−0.110555	−	0.0881650i	−0.00601342	−	0.00479554i
$339$	−3.98614	−	7.94316i	−0.216497	−	0.431413i
$340$	−0.926775	+	1.16214i	−0.0502614	+	0.0630258i
$341$	−0.213135	+	0.933807i	−0.0115419	+	0.0505685i
$342$	−5.44441	−	20.7137i	−0.294400	−	1.12007i
$343$	18.2205	+	3.31840i	0.983817	+	0.179177i
$344$			22.2639i			1.20039i
$345$	13.6352	−	11.2425i	0.734097	−	0.605275i
$346$	−14.9072	−	11.8881i	−0.801414	−	0.639106i
$347$	7.76258	−	16.1192i	0.416717	−	0.865322i	−0.581926	−	0.813242i	$-0.697701\pi$
$347$	7.76258	−	16.1192i	0.416717	−	0.865322i	0.998643	−	0.0520802i	$-0.0165851\pi$
$348$	11.1957	−	2.74823i	0.600150	−	0.147321i
$349$	−12.2014	+	9.73032i	−0.653128	+	0.520852i	−0.893060	−	0.449937i	$-0.851446\pi$
$349$	−12.2014	+	9.73032i	−0.653128	+	0.520852i	0.239932	+	0.970790i	$0.422875\pi$
$350$	−0.659116	+	10.9630i	−0.0352312	+	0.585995i
$351$	8.90253	+	16.3839i	0.475182	+	0.874507i
$352$	−0.300866	−	1.31818i	−0.0160362	−	0.0702593i
$353$	11.4321	+	14.3354i	0.608470	+	0.762997i	0.986671	−	0.162726i	$-0.0520287\pi$
$353$	11.4321	+	14.3354i	0.608470	+	0.762997i	−0.378201	+	0.925723i	$0.623457\pi$
$354$	−9.83725	+	8.11097i	−0.522844	+	0.431093i
$355$	6.51256	+	13.5235i	0.345651	+	0.717751i
$356$	−0.266067	+	1.16572i	−0.0141015	+	0.0617829i
$357$	−5.04524	−	6.92750i	−0.267022	−	0.366642i
$358$	−3.88670	−	17.0288i	−0.205419	−	0.899998i
$359$	26.0348	−	20.7620i	1.37406	−	1.09578i	0.389446	−	0.921049i	$-0.372667\pi$
$359$	26.0348	−	20.7620i	1.37406	−	1.09578i	0.984617	−	0.174729i	$-0.0559048\pi$
$360$	8.31049	−	7.08300i	0.438001	−	0.373307i
$361$	−19.3903			−1.02054
$362$	−8.47504			−0.445438
$363$	−3.88610	+	18.4051i	−0.203967	+	0.966019i
$364$	−4.74335	−	4.27273i	−0.248619	−	0.223952i
$365$	−0.964572	+	2.00295i	−0.0504880	+	0.104839i
$366$	5.17766	−	2.59832i	0.270641	−	0.135816i
$367$	−12.7285	+	2.90520i	−0.664424	+	0.151650i	−0.541415	−	0.840755i	$-0.682111\pi$
$367$	−12.7285	+	2.90520i	−0.664424	+	0.151650i	−0.123008	+	0.992406i	$0.539254\pi$
$368$	18.5392	−	4.23144i	0.966420	−	0.220579i
$369$	−0.573601	+	2.95430i	−0.0298605	+	0.153795i
$370$	1.70075	−	3.53165i	0.0884179	−	0.183602i
$371$	−2.12774	+	3.81419i	−0.110467	+	0.198023i
$372$	2.92220	+	0.616999i	0.151509	+	0.0319899i
$373$	−15.8633			−0.821369			−0.410685	−	0.911777i	$-0.634710\pi$
$373$	−15.8633			−0.821369			−0.410685	+	0.911777i	$0.634710\pi$
$374$	−0.804822			−0.0416164
$375$	3.63867	−	17.2333i	0.187900	−	0.889922i
$376$	−9.44359	+	7.53101i	−0.487016	+	0.388382i
$377$	−7.90397	−	34.6295i	−0.407075	−	1.78351i
$378$	6.71389	+	14.3471i	0.345325	+	0.737934i
$379$	6.27908	−	27.5105i	0.322535	−	1.41312i	−0.510491	−	0.859883i	$-0.670536\pi$
$379$	6.27908	−	27.5105i	0.322535	−	1.41312i	0.833026	−	0.553234i	$-0.186607\pi$
$380$	−2.13678	−	4.43706i	−0.109614	−	0.227616i
$381$	8.55898	+	10.3806i	0.438490	+	0.531814i
$382$	2.33674	+	2.93018i	0.119558	+	0.149921i
$383$	0.359286	+	1.57414i	0.0183587	+	0.0804346i	0.983277	−	0.182114i	$-0.0582941\pi$
$383$	0.359286	+	1.57414i	0.0183587	+	0.0804346i	−0.964919	+	0.262549i	$0.915437\pi$
$384$	4.44527	−	1.09119i	0.226847	−	0.0556847i
$385$	−0.955338	+	0.672191i	−0.0486885	+	0.0342580i
$386$	2.81273	−	2.24308i	0.143164	−	0.114170i
$387$	19.8399	+	8.76899i	1.00852	+	0.445753i
$388$	0.110282	−	0.229003i	0.00559872	−	0.0116259i
$389$	13.8578	+	11.0513i	0.702620	+	0.560321i	0.908311	−	0.418296i	$-0.137373\pi$
$389$	13.8578	+	11.0513i	0.702620	+	0.560321i	−0.205690	+	0.978617i	$0.565944\pi$
$390$	−5.38535	−	6.53153i	−0.272698	−	0.330737i
$391$			16.1422i			0.816346i
$392$	−15.1203	−	15.3611i	−0.763690	−	0.775852i
$393$	19.0351	−	24.6848i	0.960193	−	1.24518i
$394$	0.269640	−	1.18137i	0.0135843	−	0.0595166i
$395$	−7.15223	+	8.96861i	−0.359868	+	0.451260i
$396$	−0.739632	−	0.143606i	−0.0371679	−	0.00721645i
$397$	−11.2903	−	9.00372i	−0.566644	−	0.451884i	0.297789	−	0.954632i	$-0.403751\pi$
$397$	−11.2903	−	9.00372i	−0.566644	−	0.451884i	−0.864433	+	0.502748i	$0.832322\pi$
$398$	17.2107	+	21.5816i	0.862696	+	1.08179i
$399$	27.9315	−	5.10182i	1.39832	−	0.255411i
$400$	4.94863	−	6.20538i	0.247431	−	0.310269i
$401$	−21.5390	+	4.91614i	−1.07561	+	0.245501i	−0.723406	−	0.690423i	$-0.757424\pi$
$401$	−21.5390	+	4.91614i	−1.07561	+	0.245501i	−0.352203	+	0.935924i	$0.614567\pi$
$402$	−0.0713850	−	4.37540i	−0.00356036	−	0.218225i
$403$	2.04772	−	8.97164i	0.102004	−	0.446909i
$404$	−6.53604	+	3.14759i	−0.325180	+	0.156598i
$405$	−3.03861	−	10.1954i	−0.150990	−	0.506615i
$406$	−4.93692	−	29.7681i	−0.245015	−	1.47737i
$407$	−1.04800	+	0.239200i	−0.0519476	+	0.0118567i
$408$	0.162704	+	9.97260i	0.00805504	+	0.493717i
$409$	−1.72856	−	3.58938i	−0.0854716	−	0.177484i	0.853852	−	0.520516i	$-0.174260\pi$
$409$	−1.72856	−	3.58938i	−0.0854716	−	0.177484i	−0.939324	+	0.343032i	$0.888546\pi$
$410$		−	1.36629i		−	0.0674762i
$411$	18.9477	+	14.6111i	0.934622	+	0.720711i
$412$	5.00292	+	10.3887i	0.246476	+	0.511813i
$413$	−9.72671	−	13.8239i	−0.478620	−	0.680229i
$414$	5.68678	−	29.2894i	0.279490	−	1.43950i
$415$	1.25258	+	0.603212i	0.0614869	+	0.0296105i
$416$	2.89060	+	12.6646i	0.141723	+	0.620931i
$417$	−9.66923	+	20.9457i	−0.473504	+	1.02572i
$418$	1.15695	−	2.40243i	0.0565882	−	0.117507i
$419$	−27.8494	−	13.4116i	−1.36053	−	0.655198i	−0.395777	−	0.918347i	$-0.629525\pi$
$419$	−27.8494	−	13.4116i	−1.36053	−	0.655198i	−0.964755	+	0.263149i	$0.915239\pi$
$420$	2.14430	+	2.94429i	0.104631	+	0.143667i
$421$	10.9997	−	5.29718i	0.536093	−	0.258169i	−0.146190	−	0.989256i	$-0.546701\pi$
$421$	10.9997	−	5.29718i	0.536093	−	0.258169i	0.682284	+	0.731088i	$0.260987\pi$
$422$			8.86068i			0.431331i
$423$	2.99155	+	11.3816i	0.145454	+	0.553393i
$424$	4.57965	−	2.20544i	0.222407	−	0.107106i
$425$	4.20078	+	5.26761i	0.203768	+	0.255517i
$426$	23.0081	+	10.6213i	1.11474	+	0.514602i
$427$	2.91097	+	7.10698i	0.140872	+	0.343931i
$428$	4.58598	+	1.04672i	0.221672	+	0.0505952i
$429$	−0.479594	+	2.27143i	−0.0231550	+	0.109666i
$430$	−9.60091	−	2.19135i	−0.462997	−	0.105676i
$431$	−10.3238	+	8.23293i	−0.497279	+	0.396566i	−0.839760	−	0.542958i	$-0.817304\pi$
$431$	−10.3238	+	8.23293i	−0.497279	+	0.396566i	0.342481	+	0.939525i	$0.388733\pi$
$432$	1.99825	−	11.2716i	0.0961411	−	0.542307i
$433$	0.0308871	+	0.0246316i	0.00148434	+	0.00118372i	0.624232	−	0.781239i	$-0.285412\pi$
$433$	0.0308871	+	0.0246316i	0.00148434	+	0.00118372i	−0.622747	+	0.782423i	$0.713984\pi$
$434$	2.19382	−	7.50338i	0.105307	−	0.360174i
$435$	0.330596	+	20.2632i	0.0158508	+	0.971544i
$436$	1.06567	−	1.33630i	0.0510362	−	0.0639973i
$437$	−48.1851	−	23.2047i	−2.30501	−	1.11003i
$438$	0.894766	+	3.64507i	0.0427536	+	0.174168i
$439$	36.2361	+	8.27065i	1.72945	+	0.394736i	0.967495	−	0.252890i	$-0.0813810\pi$
$439$	36.2361	+	8.27065i	1.72945	+	0.394736i	0.761958	+	0.647626i	$0.224238\pi$
$440$	1.35949			0.0648109
$441$	−19.6440	+	7.42383i	−0.935429	+	0.353516i
$442$	7.73241			0.367793
$443$	−14.2137	−	3.24419i	−0.675315	−	0.154136i	−0.128909	−	0.991656i	$-0.541147\pi$
$443$	−14.2137	−	3.24419i	−0.675315	−	0.154136i	−0.546406	+	0.837520i	$0.684005\pi$
$444$	0.799068	+	3.25522i	0.0379221	+	0.154486i
$445$	−1.89383	−	0.912018i	−0.0897759	−	0.0432338i
$446$	11.8109	−	14.8104i	0.559264	−	0.701295i
$447$	−0.565285	−	34.6479i	−0.0267370	−	1.63879i
$448$	3.71279	+	22.3870i	0.175413	+	1.05769i
$449$	−21.0725	−	16.8048i	−0.994473	−	0.793066i	−0.0160911	−	0.999871i	$-0.505122\pi$
$449$	−21.0725	−	16.8048i	−0.994473	−	0.793066i	−0.978382	+	0.206804i	$0.933694\pi$
$450$	−5.76642	−	11.0378i	−0.271831	−	0.520326i
$451$	−0.292940	+	0.233612i	−0.0137940	+	0.0110003i
$452$	−3.36365	−	0.767732i	−0.158213	−	0.0361111i
$453$	4.05768	−	19.2178i	0.190646	−	0.902929i
$454$	27.1387	+	6.19424i	1.27368	+	0.290710i
$455$	9.17850	−	6.45814i	0.430295	−	0.302762i
$456$	−30.0025	−	13.8501i	−1.40500	−	0.648592i
$457$	−9.80696	−	12.2975i	−0.458750	−	0.575255i	0.497626	−	0.867392i	$-0.334205\pi$
$457$	−9.80696	−	12.2975i	−0.458750	−	0.575255i	−0.956376	+	0.292137i	$0.905634\pi$
$458$	23.5909	−	11.3608i	1.10233	−	0.530854i
$459$	8.95090	+	3.78288i	0.417792	+	0.176570i
$460$		−	6.86068i		−	0.319881i
$461$	−4.51912	+	2.17629i	−0.210476	+	0.101360i	−0.536152	−	0.844122i	$-0.680123\pi$
$461$	−4.51912	+	2.17629i	−0.210476	+	0.101360i	0.325676	+	0.945482i	$0.394408\pi$
$462$	−0.522489	+	1.90168i	−0.0243084	+	0.0884740i
$463$	−3.00559	−	1.44742i	−0.139682	−	0.0672672i	0.362737	−	0.931891i	$-0.381842\pi$
$463$	−3.00559	−	1.44742i	−0.139682	−	0.0672672i	−0.502419	+	0.864624i	$0.667557\pi$
$464$	−9.46151	+	19.6470i	−0.439240	+	0.912091i
$465$	−2.20058	+	4.76695i	−0.102049	+	0.221062i
$466$	−1.51955	−	6.65759i	−0.0703918	−	0.308407i
$467$	15.1131	+	7.27809i	0.699351	+	0.336790i	0.749548	−	0.661950i	$-0.230271\pi$
$467$	15.1131	+	7.27809i	0.699351	+	0.336790i	−0.0501973	+	0.998739i	$0.515985\pi$
$468$	7.10608	+	1.37970i	0.328479	+	0.0637769i
$469$	5.79092	+	0.348162i	0.267400	+	0.0160766i
$470$	−2.31812	−	4.81364i	−0.106927	−	0.222036i
$471$	−24.9080	−	19.2072i	−1.14770	−	0.885022i
$472$			19.6720i			0.905476i
$473$	1.17175	+	2.43317i	0.0538773	+	0.111877i
$474$	0.315933	+	19.3644i	0.0145113	+	0.889439i
$475$	−21.7627	+	4.96720i	−0.998543	+	0.227911i
$476$	−3.32100	−	0.199665i	−0.152218	−	0.00915164i
$477$	−0.161552	−	4.94968i	−0.00739696	−	0.226630i
$478$	21.8518	−	10.5233i	0.999479	−	0.481324i
$479$	−2.85902	+	12.5262i	−0.130632	+	0.572336i	0.866667	+	0.498887i	$0.166258\pi$
$479$	−2.85902	+	12.5262i	−0.130632	+	0.572336i	−0.997299	+	0.0734490i	$0.976599\pi$
$480$	−0.120904	−	7.41055i	−0.00551848	−	0.338244i
$481$	10.0688	−	2.29814i	0.459098	−	0.104786i
$482$	18.1868	−	22.8056i	0.828388	−	1.03877i
$483$	38.1416	+	10.4795i	1.73550	+	0.476833i
$484$	4.55314	+	5.70946i	0.206961	+	0.259521i
$485$	0.349345	+	0.278593i	0.0158629	+	0.0126503i
$486$	−14.9084	−	10.0172i	−0.676258	−	0.454391i
$487$	−20.2229	+	25.3587i	−0.916386	+	1.14911i	0.0720390	+	0.997402i	$0.477049\pi$
$487$	−20.2229	+	25.3587i	−0.916386	+	1.14911i	−0.988425	+	0.151710i	$0.951522\pi$
$488$	1.98893	−	8.71408i	0.0900347	−	0.394468i
$489$	6.26271	−	8.12153i	0.283210	−	0.367268i
$490$	8.11244	−	5.00843i	0.366483	−	0.226258i
$491$			3.78845i			0.170970i	0.996339	+	0.0854851i	$0.0272440\pi$
$491$			3.78845i			0.170970i	−0.996339	+	0.0854851i	$0.972756\pi$
$492$	0.743238	+	0.901424i	0.0335078	+	0.0406393i
$493$	−14.4726	−	11.5415i	−0.651812	−	0.519803i
$494$	−11.1155	+	23.0816i	−0.500110	+	1.03849i
$495$	0.535456	−	1.21147i	0.0240669	−	0.0544515i
$496$	−4.41698	+	3.52242i	−0.198328	+	0.158162i
$497$	−16.3670	+	29.3394i	−0.734158	+	1.31605i
$498$	2.27951	−	0.559558i	0.102147	−	0.0250744i
$499$	−5.49946	−	24.0947i	−0.246190	−	1.07863i	−0.935268	−	0.353941i	$-0.884842\pi$
$499$	−5.49946	−	24.0947i	−0.246190	−	1.07863i	0.689078	−	0.724687i	$-0.258016\pi$
$500$	−4.26324	−	5.34593i	−0.190658	−	0.239077i
$501$	23.0370	+	27.9400i	1.02922	+	1.24827i
$502$	7.80939	+	16.2164i	0.348550	+	0.723772i
$503$	−4.01569	+	17.5939i	−0.179051	+	0.784473i	0.803019	+	0.595954i	$0.203226\pi$
$503$	−4.01569	+	17.5939i	−0.179051	+	0.784473i	−0.982070	+	0.188519i	$0.939631\pi$
$504$	23.6694	+	6.08975i	1.05432	+	0.271259i
$505$	−2.83782	−	12.4333i	−0.126281	−	0.553275i
$506$	2.90426	−	2.31607i	0.129110	−	0.102962i
$507$	−0.0439136	+	0.207981i	−0.00195027	+	0.00923677i
$508$	5.22308			0.231737
$509$	29.1642			1.29268			0.646341	−	0.763049i	$-0.276298\pi$
$509$	29.1642			1.29268			0.646341	+	0.763049i	$0.276298\pi$
$510$	−4.31653	−	0.911401i	−0.191139	−	0.0403575i
$511$	−4.90881	+	0.814104i	−0.217153	+	0.0360138i
$512$	9.34681	−	19.4088i	0.413074	−	0.857758i
$513$	−24.1592	+	21.2808i	−1.06665	+	0.939572i
$514$	−20.4879	+	4.67623i	−0.903682	+	0.206260i
$515$	−19.7621	+	4.51056i	−0.870820	+	0.198759i
$516$	7.52636	−	3.77697i	0.331329	−	0.166272i
$517$	−0.635711	+	1.32007i	−0.0279585	+	0.0580565i
$518$	8.65531	−	1.43545i	0.380293	−	0.0630698i
$519$	−5.92126	+	28.0439i	−0.259914	+	1.23099i
$520$	−13.0614			−0.572780
$521$	20.0771			0.879594			0.439797	−	0.898097i	$-0.355050\pi$
$521$	20.0771			0.879594			0.439797	+	0.898097i	$0.355050\pi$
$522$	22.1940	+	26.0402i	0.971403	+	1.13975i
$523$	−1.28734	+	1.02662i	−0.0562913	+	0.0448908i	−0.651231	−	0.758879i	$-0.725747\pi$
$523$	−1.28734	+	1.02662i	−0.0562913	+	0.0448908i	0.594940	+	0.803770i	$0.297176\pi$
$524$	−2.69279	−	11.7979i	−0.117635	−	0.515394i
$525$	15.1737	−	6.50609i	0.662235	−	0.283949i
$526$	2.20021	−	9.63973i	0.0959335	−	0.420312i
$527$	−2.08080	−	4.32083i	−0.0906412	−	0.188218i
$528$	1.09964	−	0.906671i	0.0478557	−	0.0394578i
$529$	−32.1128	−	40.2681i	−1.39621	−	1.75079i
$530$	0.500302	+	2.19197i	0.0217317	+	0.0952130i
$531$	17.5302	+	7.74813i	0.760744	+	0.336240i
$532$	5.37001	−	9.62629i	0.232819	−	0.417352i
$533$	2.81445	−	2.24445i	0.121907	−	0.0972178i
$534$	−3.44648	+	0.846016i	−0.149144	+	0.0366107i
$535$	−3.58792	+	7.45040i	−0.155119	+	0.322109i
$536$	−5.27874	−	4.20966i	−0.228007	−	0.181829i
$537$	−20.2585	+	16.7034i	−0.874217	+	0.720806i
$538$			27.4735i			1.18447i
$539$	−2.46092	−	0.882996i	−0.105999	−	0.0380333i
$540$	−3.80427	−	1.60778i	−0.163710	−	0.0691879i
$541$	−8.40892	+	36.8419i	−0.361528	+	1.58396i	0.387792	+	0.921747i	$0.373238\pi$
$541$	−8.40892	+	36.8419i	−0.361528	+	1.58396i	−0.749319	+	0.662209i	$0.769619\pi$
$542$	−9.76217	+	12.2414i	−0.419321	+	0.525812i
$543$	5.71420	+	11.3867i	0.245220	+	0.488648i
$544$	5.29284	+	4.22090i	0.226929	+	0.180970i
$545$	1.87340	+	2.34917i	0.0802477	+	0.100627i
$546$	5.01986	−	18.2705i	0.214830	−	0.781906i
$547$	−2.14482	+	2.68952i	−0.0917058	+	0.114995i	−0.825567	−	0.564304i	$-0.809145\pi$
$547$	−2.14482	+	2.68952i	−0.0917058	+	0.114995i	0.733861	+	0.679299i	$0.237716\pi$
$548$	9.05590	−	2.06695i	0.386849	−	0.0882958i
$549$	−6.98195	−	5.20457i	−0.297982	−	0.222126i
$550$	0.345009	−	1.51158i	0.0147112	−	0.0644542i
$551$	55.2564	−	26.6101i	2.35400	−	1.13363i
$552$	−29.2857	−	35.5186i	−1.24648	−	1.51177i
$553$	−25.6292	−	1.54088i	−1.08987	−	0.0655250i
$554$	1.24140	−	0.283341i	0.0527420	−	0.0120380i
$555$	−5.89167	+	0.0961231i	−0.250087	+	0.00408020i
$556$	3.88589	+	8.06912i	0.164798	+	0.342207i
$557$			26.8420i			1.13733i	0.822569	+	0.568666i	$0.192540\pi$
$557$			26.8420i			1.13733i	−0.822569	+	0.568666i	$0.807460\pi$
$558$	2.25334	+	8.57304i	0.0953915	+	0.362926i
$559$	−11.2577	−	23.3769i	−0.476151	−	0.988738i
$560$	−6.87753	−	0.413492i	−0.290629	−	0.0174732i
$561$	0.542642	+	1.08132i	0.0229104	+	0.0456534i
$562$	−6.25685	−	3.01314i	−0.263929	−	0.127102i
$563$	0.908079	+	3.97855i	0.0382710	+	0.167676i	0.990452	−	0.137859i	$-0.0440220\pi$
$563$	0.908079	+	3.97855i	0.0382710	+	0.167676i	−0.952181	+	0.305535i	$0.901165\pi$
$564$	4.14794	+	1.91483i	0.174660	+	0.0806287i
$565$	2.63161	−	5.46460i	0.110713	−	0.229897i
$566$	−12.5270	−	6.03269i	−0.526549	−	0.253573i
$567$	14.7493	−	18.6938i	0.619412	−	0.785066i
$568$	35.2274	−	16.9646i	1.47811	−	0.711821i
$569$			14.2647i			0.598007i	0.954252	+	0.299003i	$0.0966542\pi$
$569$			14.2647i			0.598007i	−0.954252	+	0.299003i	$0.903346\pi$
$570$	8.92566	−	11.5749i	0.373855	−	0.484817i
$571$	−5.87839	+	2.83088i	−0.246003	+	0.118469i	−0.552823	−	0.833299i	$-0.686449\pi$
$571$	−5.87839	+	2.83088i	−0.246003	+	0.118469i	0.306820	+	0.951768i	$0.400735\pi$
$572$	0.561916	+	0.704620i	0.0234949	+	0.0294616i
$573$	2.36133	−	5.11517i	0.0986460	−	0.213689i
$574$	2.50102	−	1.75976i	0.104391	−	0.0734510i
$575$	−30.3176	−	6.91980i	−1.26433	−	0.288576i
$576$	−16.6909	−	19.5834i	−0.695454	−	0.815977i
$577$	−21.2515	−	4.85053i	−0.884713	−	0.201930i	−0.244060	−	0.969760i	$-0.578479\pi$
$577$	−21.2515	−	4.85053i	−0.884713	−	0.201930i	−0.640653	+	0.767830i	$0.721336\pi$
$578$	−12.1637	+	9.70019i	−0.505941	+	0.403475i
$579$	−4.91014	−	2.26668i	−0.204058	−	0.0942000i
$580$	6.15106	+	4.90531i	0.255409	+	0.203682i
$581$	0.509115	+	3.06981i	0.0211216	+	0.127357i
$582$	0.754283	−	0.0123062i	0.0312660	−	0.000510109i
$583$	0.384427	−	0.482056i	0.0159213	−	0.0199647i
$584$	5.21752	+	2.51262i	0.215902	+	0.103973i
$585$	−5.14444	+	11.6393i	−0.212696	+	0.481226i
$586$	13.9296	+	3.17934i	0.575427	+	0.131337i
$587$	23.7678			0.981002			0.490501	−	0.871441i	$-0.336814\pi$
$587$	23.7678			0.981002			0.490501	+	0.871441i	$0.336814\pi$
$588$	−2.62776	+	7.71740i	−0.108367	+	0.318260i
$589$	15.8891			0.654697
$590$	−8.48321	−	1.93624i	−0.349248	−	0.0797136i
$591$	−1.76904	+	0.434250i	−0.0727684	+	0.0178627i
$592$	−5.71252	−	2.75101i	−0.234783	−	0.113066i
$593$	−11.1975	+	14.0412i	−0.459826	+	0.576603i	−0.956647	−	0.291249i	$-0.905929\pi$
$593$	−11.1975	+	14.0412i	−0.459826	+	0.576603i	0.496821	+	0.867853i	$0.334500\pi$
$594$	−0.603662	−	2.15318i	−0.0247686	−	0.0883462i
$595$	1.64132	−	5.61371i	0.0672877	−	0.230139i
$596$	−10.5177	−	8.38758i	−0.430821	−	0.343568i
$597$	17.3918	−	37.6746i	0.711801	−	1.54192i
$598$	−27.9029	+	22.2518i	−1.14104	+	0.909946i
$599$	3.04330	+	0.694614i	0.124346	+	0.0283812i	0.284241	−	0.958753i	$-0.408258\pi$
$599$	3.04330	+	0.694614i	0.124346	+	0.0283812i	−0.159895	+	0.987134i	$0.551116\pi$
$600$	−18.7999	−	3.96944i	−0.767501	−	0.162052i
$601$	41.5385	+	9.48090i	1.69439	+	0.386734i	0.957309	−	0.289068i	$-0.0933453\pi$
$601$	41.5385	+	9.48090i	1.69439	+	0.386734i	0.737083	+	0.675802i	$0.236202\pi$
$602$	−8.35453	−	20.3971i	−0.340505	−	0.831324i
$603$	−5.83044	+	3.04597i	−0.237434	+	0.124041i
$604$	−4.75417	−	5.96155i	−0.193445	−	0.242572i
$605$	−11.5665	+	5.57013i	−0.470245	+	0.226458i
$606$	−17.0504	−	13.1480i	−0.692626	−	0.534101i
$607$			26.7785i			1.08691i	0.839440	+	0.543453i	$0.182883\pi$
$607$			26.7785i			1.08691i	−0.839440	+	0.543453i	$0.817117\pi$
$608$	−20.2081	+	9.73172i	−0.819548	+	0.394674i
$609$	−36.6664	+	26.7038i	−1.48580	+	1.08209i
$610$	3.56204	+	1.71539i	0.144223	+	0.0694540i
$611$	6.10765	−	12.6827i	0.247089	−	0.513086i
$612$	3.34366	−	1.74681i	0.135159	−	0.0706107i
$613$	6.99148	+	30.6317i	0.282383	+	1.23720i	0.894728	+	0.446611i	$0.147369\pi$
$613$	6.99148	+	30.6317i	0.282383	+	1.23720i	−0.612345	+	0.790591i	$0.709774\pi$
$614$	−7.19831	−	3.46652i	−0.290500	−	0.139897i
$615$	−1.83568	+	0.921204i	−0.0740218	+	0.0371465i
$616$	1.75100	+	2.48857i	0.0705497	+	0.100267i
$617$	16.8356	+	34.9594i	0.677774	+	1.40741i	0.901508	+	0.432762i	$0.142461\pi$
$617$	16.8356	+	34.9594i	0.677774	+	1.40741i	−0.223734	+	0.974650i	$0.571825\pi$
$618$	−20.8980	+	27.1007i	−0.840641	+	1.09015i
$619$		−	18.8861i		−	0.759096i	−0.925172	−	0.379548i	$-0.876080\pi$
$619$		−	18.8861i		−	0.759096i	0.925172	−	0.379548i	$-0.123920\pi$
$620$	0.884372	+	1.83642i	0.0355173	+	0.0737523i
$621$	−43.1861	+	12.1076i	−1.73300	+	0.485859i
$622$	6.02698	−	1.37562i	0.241660	−	0.0551573i
$623$	−0.769749	−	4.64136i	−0.0308393	−	0.185952i
$624$	−10.5649	+	8.71093i	−0.422934	+	0.348716i
$625$	−5.39965	+	2.60033i	−0.215986	+	0.104013i
$626$	5.28474	−	23.1540i	0.211221	−	0.925419i
$627$	−4.00785	+	0.0653884i	−0.160058	+	0.00261136i
$628$	−11.9046	+	2.71714i	−0.475045	+	0.108426i
$629$	3.35578	−	4.20801i	0.133804	−	0.167784i
$630$	−4.95578	+	9.60763i	−0.197443	+	0.382777i
$631$	−6.21650	−	7.79525i	−0.247475	−	0.310324i	0.642543	−	0.766250i	$-0.277880\pi$
$631$	−6.21650	−	7.79525i	−0.247475	−	0.310324i	−0.890018	+	0.455926i	$0.849308\pi$
$632$	23.3624	+	18.6309i	0.929308	+	0.741098i
$633$	11.9048	−	5.97421i	0.473173	−	0.237453i
$634$	6.70254	−	8.40472i	0.266192	−	0.333794i
$635$	−2.04318	+	8.95177i	−0.0810812	+	0.355240i
$636$	−1.52247	−	1.17402i	−0.0603700	−	0.0465528i
$637$	23.6435	+	8.48347i	0.936791	+	0.336127i
$638$			4.25983i			0.168648i
$639$	−1.24269	−	38.0738i	−0.0491599	−	1.50618i
$640$	2.44230	+	1.94767i	0.0965403	+	0.0769883i
$641$	6.95094	−	14.4338i	0.274546	−	0.570100i	−0.717415	−	0.696646i	$-0.754675\pi$
$641$	6.95094	−	14.4338i	0.274546	−	0.570100i	0.991961	+	0.126546i	$0.0403891\pi$
$642$	3.32827	+	13.5586i	0.131356	+	0.535115i
$643$	−21.6009	+	17.2261i	−0.851856	+	0.679333i	−0.948773	−	0.315960i	$-0.897674\pi$
$643$	−21.6009	+	17.2261i	−0.851856	+	0.679333i	0.0969162	+	0.995293i	$0.469102\pi$
$644$	12.5586	−	8.83645i	0.494879	−	0.348205i
$645$	3.52911	+	14.3768i	0.138959	+	0.566086i
$646$	2.97088	+	13.0163i	0.116888	+	0.512118i
$647$	12.9822	+	16.2792i	0.510383	+	0.640000i	0.968536	−	0.248874i	$-0.0800604\pi$
$647$	12.9822	+	16.2792i	0.510383	+	0.640000i	−0.458153	+	0.888873i	$0.651489\pi$
$648$	−26.5582	+	7.91530i	−1.04330	+	0.310942i
$649$	1.03534	+	2.14991i	0.0406407	+	0.0843913i
$650$	−3.31471	+	14.5227i	−0.130014	+	0.569627i
$651$	−11.5603	+	2.11155i	−0.453085	+	0.0827583i
$652$	−0.885953	−	3.88162i	−0.0346966	−	0.152016i
$653$	−16.7423	+	13.3515i	−0.655175	+	0.522485i	−0.893708	−	0.448650i	$-0.851905\pi$
$653$	−16.7423	+	13.3515i	−0.655175	+	0.522485i	0.238532	+	0.971135i	$0.423334\pi$
$654$	4.96343	+	1.04799i	0.194085	+	0.0409796i
$655$	21.2736			0.831230
$656$	−2.21000			−0.0862862
$657$	4.29406	−	3.65981i	0.167527	−	0.142783i
$658$	5.82576	−	10.4433i	0.227112	−	0.407121i
$659$	3.53883	−	7.34846i	0.137853	−	0.286255i	−0.820601	−	0.571502i	$-0.806361\pi$
$659$	3.53883	−	7.34846i	0.137853	−	0.286255i	0.958454	+	0.285246i	$0.0920754\pi$
$660$	−0.230631	−	0.459578i	−0.00897730	−	0.0178890i
$661$	12.9583	−	2.95766i	0.504021	−	0.115040i	0.0370524	−	0.999313i	$-0.488203\pi$
$661$	12.9583	−	2.95766i	0.504021	−	0.115040i	0.466969	+	0.884274i	$0.345346\pi$
$662$	25.2603	−	5.76550i	0.981770	−	0.224082i
$663$	−5.21348	−	10.3889i	−0.202475	−	0.403471i
$664$	1.57131	−	3.26287i	0.0609788	−	0.126624i
$665$	14.3977	+	12.9692i	0.558319	+	0.502925i
$666$	−7.57138	+	6.45306i	−0.293385	+	0.250051i
$667$	85.4387			3.30820
$668$	14.0582			0.543928
$669$	−27.8620	−	5.88284i	−1.07721	−	0.227444i
$670$	2.33491	−	1.86203i	0.0902054	−	0.0719364i
$671$	−0.241258	−	1.05702i	−0.00931367	−	0.0408059i
$672$	13.4095	−	9.76600i	0.517281	−	0.376732i
$673$	3.19293	−	13.9891i	0.123078	−	0.539241i	−0.875365	−	0.483463i	$-0.839379\pi$
$673$	3.19293	−	13.9891i	0.123078	−	0.539241i	0.998443	−	0.0557785i	$-0.0177641\pi$
$674$	−3.60493	−	7.48571i	−0.138857	−	0.288339i
$675$	−10.9419	+	15.1896i	−0.421154	+	0.584647i
$676$	0.0514513	+	0.0645179i	0.00197890	+	0.00248146i
$677$	−5.62043	−	24.6247i	−0.216011	−	0.946404i	−0.960393	−	0.278650i	$-0.910113\pi$
$677$	−5.62043	−	24.6247i	−0.216011	−	0.946404i	0.744382	−	0.667754i	$-0.232744\pi$
$678$	−2.44116	−	9.94475i	−0.0937524	−	0.381926i
$679$	−0.0600204	+	0.998308i	−0.00230337	+	0.0383116i
$680$	−5.32183	+	4.24401i	−0.204083	+	0.162751i
$681$	−9.97568	−	40.6387i	−0.382269	−	1.55728i
$682$	−0.478840	+	0.994321i	−0.0183357	+	0.0380745i
$683$	12.0338	+	9.59665i	0.460461	+	0.367206i	0.826074	−	0.563561i	$-0.190569\pi$
$683$	12.0338	+	9.59665i	0.460461	+	0.367206i	−0.365613	+	0.930767i	$0.619141\pi$
$684$	0.407726	+	12.4920i	0.0155898	+	0.477645i
$685$			16.3294i			0.623912i
$686$	19.6168	+	8.39922i	0.748971	+	0.320684i
$687$	−31.1697	−	24.0357i	−1.18920	−	0.917020i
$688$	−3.54455	+	15.5297i	−0.135135	+	0.592064i
$689$	−3.69342	+	4.63140i	−0.140708	+	0.176442i
$690$	18.1993	−	9.13298i	0.692834	−	0.347687i
$691$	15.2043	+	12.1250i	0.578399	+	0.461257i	0.868466	−	0.495749i	$-0.165106\pi$
$691$	15.2043	+	12.1250i	0.578399	+	0.461257i	−0.290067	+	0.957006i	$0.593678\pi$
$692$	6.93763	+	8.69952i	0.263729	+	0.330706i
$693$	2.90728	−	0.580191i	0.110439	−	0.0220396i
$694$	12.8527	−	16.1168i	0.487882	−	0.611785i
$695$	−15.3497	+	3.50346i	−0.582246	+	0.132894i
$696$	52.7837	−	0.861172i	2.00076	−	0.0326426i
$697$	0.417455	−	1.82899i	0.0158122	−	0.0692779i
$698$	−16.2009	+	7.80196i	−0.613214	+	0.295309i
$699$	−7.92027	+	6.53039i	−0.299572	+	0.247002i
$700$	1.79864	−	6.15177i	0.0679822	−	0.232515i
$701$	15.9924	−	3.65017i	0.604026	−	0.137865i	0.0904380	−	0.995902i	$-0.471173\pi$
$701$	15.9924	−	3.65017i	0.604026	−	0.137865i	0.513588	+	0.858037i	$0.328316\pi$
$702$	5.79974	+	20.6869i	0.218897	+	0.780778i
$703$	7.73709	+	16.0662i	0.291810	+	0.605949i
$704$		−	3.20359i		−	0.120740i
$705$	−4.90440	+	6.36006i	−0.184710	+	0.239534i
$706$	9.16649	+	19.0344i	0.344985	+	0.716369i
$707$	19.1044	−	21.2086i	0.718495	−	0.797633i
$708$	6.65016	−	3.33727i	0.249928	−	0.125422i
$709$	−25.4592	−	12.2605i	−0.956141	−	0.460453i	−0.110306	−	0.993898i	$-0.535183\pi$
$709$	−25.4592	−	12.2605i	−0.956141	−	0.460453i	−0.845835	+	0.533445i	$0.820897\pi$
$710$	3.84841	+	16.8610i	0.144428	+	0.632782i
$711$	25.8041	−	13.4807i	0.967731	−	0.505567i
$712$	−2.37573	+	4.93325i	−0.0890341	+	0.184881i
$713$	19.9429	+	9.60402i	0.746869	+	0.359673i
$714$	−3.89128	−	9.07538i	−0.145628	−	0.339637i
$715$	−1.42745	+	0.687424i	−0.0533836	+	0.0257082i
$716$			10.1932i			0.380938i
$717$	−28.8719	−	22.2639i	−1.07824	−	0.831459i
$718$	34.5687	−	16.6474i	1.29009	−	0.621275i
$719$	−27.8047	−	34.8660i	−1.03694	−	1.30028i	−0.952724	−	0.303837i	$-0.901732\pi$
$719$	−27.8047	−	34.8660i	−1.03694	−	1.30028i	−0.0842179	−	0.996447i	$-0.526839\pi$
$720$	6.92447	−	3.61752i	0.258060	−	0.134817i
$721$	−33.7099	−	30.3654i	−1.25542	−	1.13087i
$722$	−21.7816	−	4.97151i	−0.810627	−	0.185020i
$723$	−42.9028	−	9.05858i	−1.59557	−	0.336892i
$724$	4.82186	+	1.10056i	0.179203	+	0.0409019i
$725$	27.8808	−	22.2342i	1.03547	−	0.825758i
$726$	−9.08427	+	19.6786i	−0.337149	+	0.730340i
$727$	1.80366	+	1.43837i	0.0668941	+	0.0533462i	0.656366	−	0.754443i	$-0.272093\pi$
$727$	1.80366	+	1.43837i	0.0668941	+	0.0533462i	−0.589472	+	0.807789i	$0.700664\pi$
$728$	−16.8229	−	23.9092i	−0.623497	−	0.886133i
$729$	−3.40687	+	26.7842i	−0.126180	+	0.992007i
$730$	−1.59707	+	2.00266i	−0.0591101	+	0.0741217i
$731$	−12.1828	−	5.86691i	−0.450596	−	0.216995i
$732$	−3.28323	+	0.805944i	−0.121352	+	0.0297885i
$733$	27.3210	+	6.23583i	1.00912	+	0.230326i	0.694964	−	0.719045i	$-0.255420\pi$
$733$	27.3210	+	6.23583i	1.00912	+	0.230326i	0.314159	+	0.949370i	$0.398278\pi$
$734$	−15.0431			−0.555252
$735$	−12.1988	−	7.52261i	−0.449960	−	0.277476i
$736$	−31.2462			−1.15175
$737$	−0.798458	−	0.182243i	−0.0294116	−	0.00671300i
$738$	−1.40180	+	3.17156i	−0.0516008	+	0.116747i
$739$	−37.0238	−	17.8297i	−1.36194	−	0.655877i	−0.396874	−	0.917873i	$-0.629905\pi$
$739$	−37.0238	−	17.8297i	−1.36194	−	0.655877i	−0.965069	+	0.261996i	$0.915619\pi$
$740$	−1.42625	+	1.78847i	−0.0524302	+	0.0657454i
$741$	38.5058	−	0.628225i	1.41454	−	0.0230784i
$742$	−3.36807	+	3.73904i	−0.123646	+	0.137264i
$743$	−10.6244	−	8.47270i	−0.389773	−	0.310833i	0.408923	−	0.912569i	$-0.365905\pi$
$743$	−10.6244	−	8.47270i	−0.389773	−	0.310833i	−0.798695	+	0.601736i	$0.794476\pi$
$744$	12.4175	+	5.73232i	0.455247	+	0.210157i
$745$	18.4897	−	14.7450i	0.677410	−	0.540217i
$746$	−17.8196	−	4.06721i	−0.652422	−	0.148911i
$747$	−2.28873	−	2.68537i	−0.0837403	−	0.0982525i
$748$	0.457902	+	0.104513i	0.0167426	+	0.00382138i
$749$	−18.2593	+	3.02823i	−0.667181	+	0.110649i
$750$	8.50586	−	18.4256i	0.310590	−	0.672808i
$751$	27.5102	+	34.4967i	1.00386	+	1.25880i	0.965736	+	0.259528i	$0.0835670\pi$
$751$	27.5102	+	34.4967i	1.00386	+	1.25880i	0.0381248	+	0.999273i	$0.487862\pi$
$752$	−7.78617	+	3.74962i	−0.283932	+	0.136735i
$753$	16.5221	−	21.4260i	0.602100	−	0.780808i
$754$		−	40.9267i		−	1.49046i
$755$	12.0772	−	5.81606i	0.439533	−	0.211668i
$756$	−1.95676	−	9.03460i	−0.0711666	−	0.328585i
$757$	7.43869	+	3.58228i	0.270364	+	0.130200i	0.564154	−	0.825670i	$-0.309202\pi$
$757$	7.43869	+	3.58228i	0.270364	+	0.130200i	−0.293790	+	0.955870i	$0.594917\pi$
$758$	14.1069	−	29.2933i	0.512385	−	1.06398i
$759$	−5.06992	−	2.34044i	−0.184026	−	0.0849526i
$760$	−5.01833	−	21.9867i	−0.182034	−	0.797542i
$761$	−1.51881	−	0.731421i	−0.0550568	−	0.0265140i	0.406153	−	0.913805i	$-0.366870\pi$
$761$	−1.51881	−	0.731421i	−0.0550568	−	0.0265140i	−0.461210	+	0.887291i	$0.652584\pi$
$762$	6.95300	+	13.8552i	0.251881	+	0.501922i
$763$	−1.88730	+	6.45501i	−0.0683249	+	0.233687i
$764$	−0.948975	−	1.97057i	−0.0343327	−	0.0712926i
$765$	1.68585	+	6.41398i	0.0609521	+	0.231898i
$766$			1.86038i			0.0672183i
$767$	−9.94714	−	20.6555i	−0.359170	−	0.745825i
$768$	−24.4347	+	0.398654i	−0.881711	+	0.0143852i
$769$	6.70882	−	1.53124i	0.241926	−	0.0552180i	−0.0998385	−	0.995004i	$-0.531833\pi$
$769$	6.70882	−	1.53124i	0.241926	−	0.0552180i	0.341765	+	0.939786i	$0.388975\pi$
$770$	−1.24550	+	0.510148i	−0.0448846	+	0.0183844i
$771$	20.0965	+	24.3737i	0.723757	+	0.877796i
$772$	−1.89158	+	0.910937i	−0.0680794	+	0.0327853i
$773$	4.67059	−	20.4632i	0.167990	−	0.736011i	−0.818810	−	0.574065i	$-0.805366\pi$
$773$	4.67059	−	20.4632i	0.167990	−	0.736011i	0.986800	−	0.161946i	$-0.0517770\pi$
$774$	20.0383	+	14.9372i	0.720261	+	0.536906i
$775$	9.00720	−	2.05584i	0.323548	−	0.0738478i
$776$	0.725711	−	0.910013i	0.0260515	−	0.0326675i
$777$	−7.76434	−	10.6610i	−0.278544	−	0.382462i
$778$	12.7334	+	15.9672i	0.456514	+	0.572451i
$779$	4.85951	+	3.87533i	0.174110	+	0.138848i
$780$	2.21581	+	4.41543i	0.0793387	+	0.158098i
$781$	2.95708	−	3.70806i	0.105813	−	0.132685i
$782$	−4.13872	+	18.1329i	−0.148000	+	0.648432i
$783$	20.0223	−	47.3760i	0.715540	−	1.69308i
$784$	−8.10126	−	13.1221i	−0.289331	−	0.468645i
$785$		−	21.4660i		−	0.766155i
$786$	27.7115	−	22.8486i	0.988438	−	0.814983i
$787$	−10.0107	−	7.98329i	−0.356844	−	0.284574i	0.428615	−	0.903487i	$-0.359002\pi$
$787$	−10.0107	−	7.98329i	−0.356844	−	0.284574i	−0.785459	+	0.618914i	$0.787573\pi$
$788$	−0.306823	+	0.637124i	−0.0109301	+	0.0226966i
$789$	−14.4349	+	3.54338i	−0.513898	+	0.126148i
$790$	−10.3337	+	8.24088i	−0.367658	+	0.293197i
$791$	13.3926	−	2.22110i	0.476184	−	0.0789731i
$792$	−3.15577	−	1.39481i	−0.112135	−	0.0495626i
$793$	2.31791	+	10.1554i	0.0823115	+	0.360630i
$794$	−10.3742	−	13.0088i	−0.368166	−	0.461666i
$795$	2.60770	−	2.15009i	0.0924856	−	0.0762559i
$796$	−6.98946	−	14.5138i	−0.247735	−	0.514426i
$797$	−5.38719	+	23.6028i	−0.190824	+	0.836054i	0.785348	+	0.619055i	$0.212484\pi$
$797$	−5.38719	+	23.6028i	−0.190824	+	0.836054i	−0.976172	+	0.216999i	$0.930373\pi$
$798$	32.6842	+	1.43039i	1.15701	+	0.0506353i
$799$	−1.63241	−	7.15207i	−0.0577506	−	0.253022i
$800$	−10.1964	+	8.13140i	−0.360499	+	0.287488i
$801$	3.46041	+	4.06011i	0.122268	+	0.143457i
$802$	−25.4558			−0.898874
$803$	0.702451			0.0247890
$804$	−0.527569	+	2.49864i	−0.0186059	+	0.0881203i
$805$	10.2320	+	24.9807i	0.360629	+	0.880456i
$806$	4.60050	−	9.55304i	0.162046	−	0.336491i
$807$	36.9121	−	18.5237i	1.29937	−	0.652066i
$808$	−32.3877	+	7.39228i	−1.13940	+	0.260059i
$809$	−34.5872	+	7.89430i	−1.21602	+	0.277549i	−0.781957	−	0.623333i	$-0.785778\pi$
$809$	−34.5872	+	7.89430i	−1.21602	+	0.277549i	−0.434065	+	0.900882i	$0.642921\pi$
$810$	−0.799319	−	12.2318i	−0.0280852	−	0.429783i
$811$	22.8058	−	47.3567i	0.800820	−	1.66292i	0.0533941	−	0.998574i	$-0.482996\pi$
$811$	22.8058	−	47.3567i	0.800820	−	1.66292i	0.747426	−	0.664346i	$-0.231290\pi$
$812$	−1.05680	+	17.5776i	−0.0370865	+	0.616854i
$813$	23.0290	+	4.86238i	0.807661	+	0.170531i
$814$	−1.23858			−0.0434121
$815$	6.99922			0.245172
$816$	−1.47421	+	6.98208i	−0.0516077	+	0.244422i
$817$	35.0259	−	27.9322i	1.22540	−	0.977225i
$818$	−1.02144	−	4.47522i	−0.0357138	−	0.156473i
$819$	−27.9320	+	5.57424i	−0.976023	+	0.194780i
$820$	−0.177425	+	0.777348i	−0.00619593	+	0.0271462i
$821$	2.58602	+	5.36993i	0.0902528	+	0.187412i	0.941209	−	0.337825i	$-0.109691\pi$
$821$	2.58602	+	5.36993i	0.0902528	+	0.187412i	−0.850956	+	0.525237i	$0.823977\pi$
$822$	17.5383	+	21.2710i	0.611717	+	0.741911i
$823$	19.0507	+	23.8889i	0.664067	+	0.832714i	0.993779	−	0.111368i	$-0.0355231\pi$
$823$	19.0507	+	23.8889i	0.664067	+	0.832714i	−0.329712	+	0.944081i	$0.606952\pi$
$824$	11.7496	+	51.4784i	0.409317	+	1.79334i
$825$	−2.26351	+	0.555630i	−0.0788053	+	0.0193446i
$826$	−7.38192	−	18.0226i	−0.256850	−	0.627085i
$827$	−15.0887	+	12.0329i	−0.524687	+	0.418424i	−0.849685	−	0.527291i	$-0.823208\pi$
$827$	−15.0887	+	12.0329i	−0.524687	+	0.418424i	0.324998	+	0.945715i	$0.394636\pi$
$828$	−7.03896	+	15.9257i	−0.244621	+	0.553455i
$829$	−0.213895	+	0.444157i	−0.00742887	+	0.0154262i	−0.904650	−	0.426155i	$-0.859868\pi$
$829$	−0.213895	+	0.444157i	−0.00742887	+	0.0154262i	0.897221	+	0.441581i	$0.145582\pi$
$830$	1.25240	+	0.998754i	0.0434714	+	0.0346673i
$831$	−1.21768	−	1.47684i	−0.0422409	−	0.0512312i
$832$			30.7788i			1.06706i
$833$	12.3900	−	4.22589i	0.429289	−	0.146419i
$834$	−16.2320	+	21.0497i	−0.562068	+	0.728893i
$835$	−5.49934	+	24.0942i	−0.190313	+	0.833814i
$836$	−0.970219	+	1.21662i	−0.0335557	+	0.0420776i
$837$	9.99903	−	8.80775i	0.345617	−	0.304440i
$838$	−27.8453	−	22.2059i	−0.961899	−	0.767089i
$839$	−19.1057	−	23.9578i	−0.659602	−	0.827114i	0.333698	−	0.942680i	$-0.391703\pi$
$839$	−19.1057	−	23.9578i	−0.659602	−	0.827114i	−0.993300	+	0.115566i	$0.963132\pi$
$840$	6.57306	+	15.3299i	0.226792	+	0.528931i
$841$	−43.0065	+	53.9284i	−1.48298	+	1.85960i
$842$	13.7144	−	3.13022i	0.472629	−	0.107875i
$843$	0.170297	+	10.4380i	0.00586533	+	0.359503i
$844$	1.15064	−	5.04126i	0.0396065	−	0.173527i
$845$	−0.130703	+	0.0629433i	−0.00449633	+	0.00216532i
$846$	0.442330	+	13.5522i	0.0152076	+	0.465936i
$847$	−25.0937	−	13.9985i	−0.862230	−	0.480994i
$848$	3.54556	−	0.809251i	0.121755	−	0.0277898i
$849$	0.340956	+	20.8982i	0.0117016	+	0.717223i
$850$	3.36827	+	6.99428i	0.115531	+	0.239902i
$851$			24.8419i			0.851571i
$852$	−11.7111	−	9.03075i	−0.401217	−	0.309388i
$853$	5.65979	+	11.7527i	0.193788	+	0.402404i	0.975109	−	0.221724i	$-0.0711685\pi$
$853$	5.65979	+	11.7527i	0.193788	+	0.402404i	−0.781322	+	0.624128i	$0.785454\pi$
$854$	1.44780	+	8.72979i	0.0495426	+	0.298727i
$855$	−21.5694	−	4.18788i	−0.737659	−	0.143223i
$856$	19.4076	+	9.34622i	0.663339	+	0.319447i
$857$	−8.01019	−	35.0949i	−0.273623	−	1.19882i	−0.905702	−	0.423916i	$-0.860655\pi$
$857$	−8.01019	−	35.0949i	−0.273623	−	1.19882i	0.632079	−	0.774904i	$-0.282202\pi$
$858$	−1.12111	+	2.42858i	−0.0382742	+	0.0829105i
$859$	−10.5895	+	21.9894i	−0.361310	+	0.750267i	−0.999813	−	0.0193519i	$-0.993840\pi$
$859$	−10.5895	+	21.9894i	−0.361310	+	0.750267i	0.638503	+	0.769619i	$0.279554\pi$
$860$	5.17785	+	2.49352i	0.176563	+	0.0850284i
$861$	−4.05062	−	2.17376i	−0.138045	−	0.0740815i
$862$	−13.7078	+	6.60132i	−0.466889	+	0.224842i
$863$			10.0539i			0.342239i	0.985250	+	0.171120i	$0.0547385\pi$
$863$			10.0539i			0.342239i	−0.985250	+	0.171120i	$0.945262\pi$
$864$	−7.32248	+	17.3261i	−0.249116	+	0.589447i
$865$	−17.6239	+	8.48721i	−0.599230	+	0.288574i
$866$	0.0283809	+	0.0355885i	0.000964421	+	0.00120935i
$867$	21.2339	+	9.80227i	0.721142	+	0.332902i
$868$	−2.22255	+	3.98415i	−0.0754382	+	0.135231i
$869$	3.53378	+	0.806563i	0.119875	+	0.0273608i
$870$	−4.82393	+	22.8469i	−0.163547	+	0.774581i
$871$	7.67126	+	1.75091i	0.259931	+	0.0593275i
$872$	6.11939	−	4.88005i	0.207229	−	0.165259i
$873$	−0.525101	−	1.00512i	−0.0177720	−	0.0340182i
$874$	−48.1780	−	38.4207i	−1.62964	−	1.29960i
$875$	23.4960	+	13.1072i	0.794308	+	0.443104i
$876$	−0.0357309	−	2.19005i	−0.00120724	−	0.0739950i
$877$	−11.5250	+	14.4518i	−0.389170	+	0.488004i	−0.937366	−	0.348346i	$-0.886743\pi$
$877$	−11.5250	+	14.4518i	−0.389170	+	0.488004i	0.548196	+	0.836350i	$0.315315\pi$
$878$	38.5843	+	18.5812i	1.30216	+	0.627086i
$879$	−5.12026	−	20.8588i	−0.172702	−	0.703550i
$880$	0.948281	+	0.216439i	0.0319665	+	0.00729615i
$881$	−34.5917			−1.16542			−0.582712	−	0.812679i	$-0.698008\pi$
$881$	−34.5917			−1.16542			−0.582712	+	0.812679i	$0.698008\pi$
$882$	−23.9700	+	3.30281i	−0.807111	+	0.111211i
$883$	46.9123			1.57873			0.789363	−	0.613927i	$-0.210411\pi$
$883$	46.9123			1.57873			0.789363	+	0.613927i	$0.210411\pi$
$884$	−4.39934	−	1.00412i	−0.147966	−	0.0337722i
$885$	3.11827	+	12.7031i	0.104819	+	0.427010i
$886$	−15.1348	−	7.28856i	−0.508465	−	0.244864i
$887$	1.36308	−	1.70924i	0.0457677	−	0.0573908i	−0.758421	−	0.651765i	$-0.774029\pi$
$887$	1.36308	−	1.70924i	0.0457677	−	0.0573908i	0.804189	+	0.594374i	$0.202600\pi$
$888$	0.250392	+	15.3473i	0.00840261	+	0.515021i
$889$	−19.0180	+	7.78966i	−0.637844	+	0.261257i
$890$	−1.89355	−	1.51005i	−0.0634718	−	0.0506171i
$891$	−2.48590	+	2.26281i	−0.0832809	+	0.0758070i
$892$	−8.64307	+	6.89262i	−0.289391	+	0.230782i
$893$	23.6958	+	5.40842i	0.792951	+	0.180986i
$894$	8.24843	−	39.0658i	0.275869	−	1.30656i
$895$	−17.4700	−	3.98741i	−0.583958	−	0.133284i
$896$	−0.419607	+	6.97925i	−0.0140181	+	0.233160i
$897$	48.7097	+	22.4860i	1.62637	+	0.750786i
$898$	−19.3627	−	24.2800i	−0.646140	−	0.810234i
$899$	−22.8696	+	11.0134i	−0.762745	+	0.367319i
$900$	1.84744	+	7.02875i	0.0615813	+	0.234292i
$901$			3.08715i			0.102848i
$902$	−0.388962	+	0.187314i	−0.0129510	+	0.00623689i
$903$	−21.7716	+	24.9773i	−0.724515	+	0.831191i
$904$	−14.2348	−	6.85512i	−0.473442	−	0.227998i
$905$	−3.77246	+	7.83360i	−0.125401	+	0.260398i
$906$	9.48535	−	20.5474i	0.315130	−	0.682642i
$907$	−7.99154	−	35.0132i	−0.265355	−	1.16259i	−0.915351	−	0.402657i	$-0.868087\pi$
$907$	−7.99154	−	35.0132i	−0.265355	−	1.16259i	0.649996	−	0.759937i	$-0.274770\pi$
$908$	−14.6361	−	7.04840i	−0.485718	−	0.233909i
$909$	−6.16899	+	31.7730i	−0.204612	+	1.05384i
$910$	11.9662	−	4.90129i	0.396677	−	0.162476i
$911$	14.3538	+	29.8061i	0.475564	+	0.987519i	0.991404	+	0.130834i	$0.0417656\pi$
$911$	14.3538	+	29.8061i	0.475564	+	0.987519i	−0.515840	+	0.856685i	$0.672520\pi$
$912$	−18.7226	−	14.4375i	−0.619967	−	0.478072i
$913$		−	0.439291i		−	0.0145384i
$914$	−7.86341	−	16.3285i	−0.260098	−	0.540100i
$915$	−0.0969502	−	5.94236i	−0.00320508	−	0.196448i
$916$	−14.8973	+	3.40021i	−0.492220	+	0.112346i
$917$	27.4002	+	38.9419i	0.904833	+	1.28598i
$918$	9.08486	+	6.54433i	0.299845	+	0.215995i
$919$	9.74758	−	4.69419i	0.321543	−	0.154847i	−0.266149	−	0.963932i	$-0.585751\pi$
$919$	9.74758	−	4.69419i	0.321543	−	0.154847i	0.587692	+	0.809085i	$0.300037\pi$
$920$	6.99102	−	30.6296i	0.230487	−	1.00983i
$921$	0.195921	+	12.0086i	0.00645581	+	0.395696i
$922$	−5.63441	+	1.28602i	−0.185560	+	0.0423528i
$923$	−28.4104	+	35.6255i	−0.935140	+	1.17263i
$924$	0.544218	−	1.01410i	0.0179035	−	0.0333616i
$925$	6.46476	+	8.10656i	0.212560	+	0.266542i
$926$	−3.00515	−	2.39653i	−0.0987553	−	0.0787547i
$927$	50.5014	+	9.80526i	1.65868	+	0.322047i
$928$	22.3407	−	28.0144i	0.733370	−	0.919617i
$929$	−0.474364	+	2.07833i	−0.0155634	+	0.0681876i	−0.982113	−	0.188291i	$-0.939705\pi$
$929$	−0.474364	+	2.07833i	−0.0155634	+	0.0681876i	0.966550	+	0.256479i	$0.0825623\pi$
$930$	−3.69417	+	4.79062i	−0.121137	+	0.157091i
$931$	−5.19644	+	43.0595i	−0.170306	+	1.41122i
$932$			3.98515i			0.130538i
$933$	−5.91184	−	7.17007i	−0.193545	−	0.234737i
$934$	15.1109	+	12.0505i	0.494443	+	0.394305i
$935$	−0.358247	+	0.743909i	−0.0117159	+	0.0243284i
$936$	30.3194	+	13.4008i	0.991019	+	0.438019i
$937$	8.46714	−	6.75232i	0.276609	−	0.220589i	−0.475352	−	0.879796i	$-0.657679\pi$
$937$	8.46714	−	6.75232i	0.276609	−	0.220589i	0.751962	+	0.659207i	$0.229108\pi$
$938$	6.41581	+	1.87584i	0.209484	+	0.0612484i
$939$	−34.6717	+	8.51097i	−1.13147	+	0.277745i
$940$	0.693800	+	3.03974i	0.0226293	+	0.0991453i
$941$	−25.8530	−	32.4187i	−0.842784	−	1.05682i	−0.997625	−	0.0688788i	$-0.978058\pi$
$941$	−25.8530	−	32.4187i	−0.842784	−	1.05682i	0.154841	−	0.987939i	$-0.450514\pi$
$942$	−23.0552	−	27.9621i	−0.751180	−	0.911055i
$943$	3.75694	+	7.80136i	0.122343	+	0.254047i
$944$	−3.13191	+	13.7218i	−0.101935	+	0.446606i
$945$	16.2497	+	0.180523i	0.528604	+	0.00587241i
$946$	0.692414	+	3.03366i	0.0225123	+	0.0986330i
$947$	−6.01869	+	4.79975i	−0.195581	+	0.155971i	−0.716384	−	0.697706i	$-0.754204\pi$
$947$	−6.01869	+	4.79975i	−0.195581	+	0.155971i	0.520803	+	0.853677i	$0.325633\pi$
$948$	2.33489	−	11.0584i	0.0758338	−	0.359160i
$949$	−6.74887			−0.219078
$950$	−25.7201			−0.834472
$951$	−15.8113	−	3.33843i	−0.512716	−	0.108256i
$952$	−14.6232	−	4.27550i	−0.473941	−	0.138570i
$953$	4.37076	−	9.07598i	0.141583	−	0.294000i	−0.818104	−	0.575070i	$-0.804975\pi$
$953$	4.37076	−	9.07598i	0.141583	−	0.294000i	0.959687	+	0.281070i	$0.0906892\pi$
$954$	1.08758	−	5.60151i	0.0352117	−	0.181356i
$955$	3.74855	−	0.855582i	0.121300	−	0.0276860i
$956$	−13.7991	+	3.14955i	−0.446294	+	0.101864i
$957$	5.72330	−	2.87214i	0.185008	−	0.0928430i
$958$	−6.42321	+	13.3379i	−0.207525	+	0.430929i
$959$	−29.8913	+	21.0320i	−0.965239	+	0.679158i
$960$	3.62783	−	17.1819i	0.117088	−	0.554544i
$961$	24.4238			0.787865
$962$	11.8997			0.383663
$963$	15.9726	−	13.6134i	0.514711	−	0.438687i
$964$	−13.3089	+	10.6135i	−0.428650	+	0.341837i
$965$	−0.821288	−	3.59830i	−0.0264382	−	0.115833i
$966$	40.1585	+	21.5510i	1.29208	+	0.693393i
$967$	1.04484	−	4.57776i	0.0335999	−	0.147211i	−0.955345	−	0.295491i	$-0.904517\pi$
$967$	1.04484	−	4.57776i	0.0335999	−	0.147211i	0.988945	+	0.148280i	$0.0473738\pi$
$968$	14.5097	+	30.1297i	0.466359	+	0.968404i
$969$	15.4849	−	12.7676i	0.497448	−	0.410154i
$970$	0.320999	+	0.402519i	0.0103066	+	0.0129241i
$971$	−6.47940	−	28.3881i	−0.207934	−	0.911018i	−0.965939	−	0.258769i	$-0.916683\pi$
$971$	−6.47940	−	28.3881i	−0.207934	−	0.911018i	0.758005	−	0.652248i	$-0.226174\pi$
$972$	7.18127	+	7.63527i	0.230339	+	0.244901i
$973$	−26.1833	−	23.5855i	−0.839398	−	0.756117i
$974$	−29.2186	+	23.3010i	−0.936224	+	0.746614i
$975$	21.7469	−	5.33827i	0.696458	−	0.170961i
$976$	2.77468	−	5.76168i	0.0888153	−	0.184427i
$977$	−7.52891	−	6.00410i	−0.240871	−	0.192088i	0.495612	−	0.868544i	$-0.334944\pi$
$977$	−7.52891	−	6.00410i	−0.240871	−	0.192088i	−0.736483	+	0.676456i	$0.763515\pi$
$978$	9.11734	−	7.51740i	0.291541	−	0.240380i
$979$			0.664179i			0.0212273i
$980$	−5.26594	+	1.79607i	−0.168214	+	0.0573733i
$981$	−1.93850	−	7.37522i	−0.0618917	−	0.235473i
$982$	−0.971325	+	4.25565i	−0.0309962	+	0.135803i
$983$	20.4494	−	25.6428i	0.652236	−	0.817878i	−0.340238	−	0.940339i	$-0.610508\pi$
$983$	20.4494	−	25.6428i	0.652236	−	0.817878i	0.992473	+	0.122462i	$0.0390789\pi$
$984$	2.39966	+	4.78179i	0.0764982	+	0.152438i
$985$	−0.971934	−	0.775091i	−0.0309684	−	0.0246965i
$986$	−13.2982	−	16.6755i	−0.423502	−	0.531055i
$987$	−17.9590	−	0.785960i	−0.571642	−	0.0250174i
$988$	9.32147	−	11.6888i	0.296556	−	0.371869i
$989$	60.8457	−	13.8876i	1.93478	−	0.441601i
$990$	0.912100	−	1.22359i	0.0289884	−	0.0388881i
$991$	0.761436	−	3.33607i	0.0241878	−	0.105974i	−0.961393	−	0.275179i	$-0.911263\pi$
$991$	0.761436	−	3.33607i	0.0241878	−	0.105974i	0.985581	+	0.169205i	$0.0541200\pi$
$992$	8.36378	−	4.02778i	0.265550	−	0.127882i
$993$	−24.7777	−	30.0512i	−0.786297	−	0.953646i
$994$	−25.9078	+	28.7613i	−0.821744	+	0.912254i
$995$	27.6091	−	6.30160i	0.875267	−	0.199774i
$996$	−1.36959	+	0.0223450i	−0.0433970	+	0.000708027i
$997$	−23.0769	−	47.9197i	−0.730853	−	1.51763i	−0.851166	−	0.524897i	$-0.824104\pi$
$997$	−23.0769	−	47.9197i	−0.730853	−	1.51763i	0.120313	−	0.992736i	$-0.461610\pi$
$998$		−	28.4762i		−	0.901398i
$999$	13.7749	+	5.82164i	0.435820	+	0.184189i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	147.2.k.a.83.12	yes	96
3.2	odd	2	inner	147.2.k.a.83.5	yes	96
49.13	odd	14	inner	147.2.k.a.62.5	✓	96
147.62	even	14	inner	147.2.k.a.62.12	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
147.2.k.a.62.5	✓	96	49.13	odd	14	inner
147.2.k.a.62.12	yes	96	147.62	even	14	inner
147.2.k.a.83.5	yes	96	3.2	odd	2	inner
147.2.k.a.83.12	yes	96	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 147 = 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	147.k (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.12332 + 0.256391i) q^{2} +(-0.412913 - 1.68211i) q^{3} +(-0.605818 - 0.291747i) q^{4} +(0.737007 - 0.924177i) q^{5} +(-0.0325555 - 1.99542i) q^{6} +(2.64098 + 0.158781i) q^{7} +(-2.40740 - 1.91984i) q^{8} +(-2.65901 + 1.38913i) q^{9} +O(q^{10})\)	\(q+(1.12332 + 0.256391i) q^{2} +(-0.412913 - 1.68211i) q^{3} +(-0.605818 - 0.291747i) q^{4} +(0.737007 - 0.924177i) q^{5} +(-0.0325555 - 1.99542i) q^{6} +(2.64098 + 0.158781i) q^{7} +(-2.40740 - 1.91984i) q^{8} +(-2.65901 + 1.38913i) q^{9} +(1.06485 - 0.849188i) q^{10} +(-0.364141 - 0.0831128i) q^{11} +(-0.240601 + 1.13952i) q^{12} +(3.49852 + 0.798515i) q^{13} +(2.92597 + 0.855488i) q^{14} +(-1.85889 - 0.858124i) q^{15} +(-1.37358 - 1.72242i) q^{16} +(1.68492 - 0.811416i) q^{17} +(-3.34309 + 0.878698i) q^{18} +6.19599i q^{19} +(-0.716118 + 0.344864i) q^{20} +(-0.823407 - 4.50799i) q^{21} +(-0.387739 - 0.186725i) q^{22} +(-3.74512 + 7.77682i) q^{23} +(-2.23534 + 4.84224i) q^{24} +(0.801680 + 3.51239i) q^{25} +(3.72524 + 1.79398i) q^{26} +(3.43461 + 3.89916i) q^{27} +(-1.55363 - 0.866690i) q^{28} +(-4.29473 - 8.91809i) q^{29} +(-1.86812 - 1.44055i) q^{30} -2.56441i q^{31} +(1.57065 + 3.26148i) q^{32} +(0.0105533 + 0.646845i) q^{33} +(2.10075 - 0.479483i) q^{34} +(2.09316 - 2.32371i) q^{35} +(2.01615 - 0.0658048i) q^{36} +(2.59300 - 1.24872i) q^{37} +(-1.58860 + 6.96010i) q^{38} +(-0.101392 - 6.21462i) q^{39} +(-3.54854 + 0.809931i) q^{40} +(0.625457 - 0.784298i) q^{41} +(0.230857 - 5.27505i) q^{42} +(-4.50811 - 5.65299i) q^{43} +(0.196355 + 0.156588i) q^{44} +(-0.675902 + 3.48119i) q^{45} +(-6.20089 + 7.77567i) q^{46} +(0.872890 - 3.82438i) q^{47} +(-2.33013 + 3.02173i) q^{48} +(6.94958 + 0.838677i) q^{49} +4.15109i q^{50} +(-2.06062 - 2.49919i) q^{51} +(-1.88650 - 1.50444i) q^{52} +(-0.716243 + 1.48729i) q^{53} +(2.85847 + 5.26062i) q^{54} +(-0.345186 + 0.275276i) q^{55} +(-6.05307 - 5.45251i) q^{56} +(10.4224 - 2.55840i) q^{57} +(-2.53785 - 11.1190i) q^{58} +(-3.98329 - 4.99489i) q^{59} +(0.875794 + 1.06219i) q^{60} +(1.25947 + 2.61531i) q^{61} +(0.657492 - 2.88066i) q^{62} +(-7.24296 + 3.24647i) q^{63} +(1.90858 + 8.36204i) q^{64} +(3.31640 - 2.64474i) q^{65} +(-0.153991 + 0.729322i) q^{66} +2.19271 q^{67} -1.25748 q^{68} +(14.6279 + 3.08857i) q^{69} +(2.94708 - 2.07361i) q^{70} +(-5.50947 + 11.4405i) q^{71} +(9.06820 + 1.76066i) q^{72} +(-1.83354 + 0.418495i) q^{73} +(3.23294 - 0.737898i) q^{74} +(5.57721 - 2.79883i) q^{75} +(1.80766 - 3.75364i) q^{76} +(-0.948494 - 0.277318i) q^{77} +(1.47948 - 7.00703i) q^{78} -9.70443 q^{79} -2.60416 q^{80} +(5.14063 - 7.38742i) q^{81} +(0.903678 - 0.720659i) q^{82} +(0.261713 + 1.14664i) q^{83} +(-0.816357 + 2.97125i) q^{84} +(0.491907 - 2.15519i) q^{85} +(-3.61469 - 7.50598i) q^{86} +(-13.2279 + 10.9066i) q^{87} +(0.717070 + 0.899178i) q^{88} +(-0.395693 - 1.73365i) q^{89} +(-1.65180 + 3.73721i) q^{90} +(9.11274 + 2.66436i) q^{91} +(4.53772 - 3.61871i) q^{92} +(-4.31362 + 1.05888i) q^{93} +(1.96108 - 4.07222i) q^{94} +(5.72619 + 4.56649i) q^{95} +(4.83764 - 3.98872i) q^{96} +0.378006i q^{97} +(7.59159 + 2.72392i) q^{98} +(1.08371 - 0.284842i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9}+O(q^{10}) \) 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9	\( 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9} - 14 q^{10} - 42 q^{12} - 14 q^{13} - 5 q^{15} - 22 q^{16} - 18 q^{18} - 7 q^{21} + 4 q^{22} - 7 q^{24} - 26 q^{25} - 28 q^{27} + 28 q^{28} - 20 q^{30} - 7 q^{33} - 70 q^{34} - 37 q^{36} + 38 q^{37} - 9 q^{39} - 28 q^{40} + 7 q^{42} - 18 q^{43} + 14 q^{45} + 62 q^{46} + 14 q^{49} - q^{51} + 112 q^{52} - 7 q^{54} - 56 q^{55} + q^{57} - 84 q^{58} + 111 q^{60} + 84 q^{61} - 7 q^{63} - 2 q^{64} + 21 q^{66} - 16 q^{67} - 91 q^{69} - 70 q^{70} - 27 q^{72} - 14 q^{73} + 119 q^{75} + 210 q^{76} - 87 q^{78} - 32 q^{79} - 71 q^{81} - 84 q^{82} + 154 q^{84} + 46 q^{85} + 49 q^{87} - 22 q^{88} + 203 q^{90} - 42 q^{91} + 53 q^{93} - 42 q^{94} - 28 q^{96} + 100 q^{99}+O(q^{100}) \) 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9 - 14 * q^10 - 42 * q^12 - 14 * q^13 - 5 * q^15 - 22 * q^16 - 18 * q^18 - 7 * q^21 + 4 * q^22 - 7 * q^24 - 26 * q^25 - 28 * q^27 + 28 * q^28 - 20 * q^30 - 7 * q^33 - 70 * q^34 - 37 * q^36 + 38 * q^37 - 9 * q^39 - 28 * q^40 + 7 * q^42 - 18 * q^43 + 14 * q^45 + 62 * q^46 + 14 * q^49 - q^51 + 112 * q^52 - 7 * q^54 - 56 * q^55 + q^57 - 84 * q^58 + 111 * q^60 + 84 * q^61 - 7 * q^63 - 2 * q^64 + 21 * q^66 - 16 * q^67 - 91 * q^69 - 70 * q^70 - 27 * q^72 - 14 * q^73 + 119 * q^75 + 210 * q^76 - 87 * q^78 - 32 * q^79 - 71 * q^81 - 84 * q^82 + 154 * q^84 + 46 * q^85 + 49 * q^87 - 22 * q^88 + 203 * q^90 - 42 * q^91 + 53 * q^93 - 42 * q^94 - 28 * q^96 + 100 * q^99

Introduction

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