LMFDB - Embedded newform 950.2.x.a.159.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(159,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("950.159");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.x (of order $30$, degree $8$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$400$
Relative dimension:	$50$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			159.1
Character	$\chi$	$=$	950.159
Dual form			950.2.x.a.239.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.994522 - 0.104528i) q^{2} +(-2.37897 - 2.14203i) q^{3} +(0.978148 + 0.207912i) q^{4} +(2.19514 + 0.425845i) q^{5} +(2.14203 + 2.37897i) q^{6} -3.35325i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.757599 + 7.20807i) q^{9} +O(q^{10})$	\(q+(-0.994522 - 0.104528i) q^{2} +(-2.37897 - 2.14203i) q^{3} +(0.978148 + 0.207912i) q^{4} +(2.19514 + 0.425845i) q^{5} +(2.14203 + 2.37897i) q^{6} -3.35325i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.757599 + 7.20807i) q^{9} +(-2.13861 - 0.652967i) q^{10} +(-0.793409 - 0.576445i) q^{11} +(-1.88163 - 2.58984i) q^{12} +(-0.898388 + 0.0944244i) q^{13} +(-0.350510 + 3.33488i) q^{14} +(-4.31000 - 5.71514i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.131277 + 0.617612i) q^{17} -7.24778i q^{18} +(-3.86146 + 2.02216i) q^{19} +(2.05864 + 0.872935i) q^{20} +(-7.18277 + 7.97728i) q^{21} +(0.728807 + 0.656221i) q^{22} +(-1.78521 - 4.00965i) q^{23} +(1.60061 + 2.77233i) q^{24} +(4.63731 + 1.86958i) q^{25} +0.903337 q^{26} +(7.99273 - 11.0010i) q^{27} +(0.697181 - 3.27998i) q^{28} +(-4.89334 - 1.04011i) q^{29} +(3.68900 + 6.13435i) q^{30} +(2.91360 - 8.96714i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.652729 + 3.07085i) q^{33} +(-0.0660003 - 0.627951i) q^{34} +(1.42797 - 7.36087i) q^{35} +(-0.757599 + 7.20807i) q^{36} +(-5.04703 - 6.94664i) q^{37} +(4.05168 - 1.60745i) q^{38} +(2.33950 + 1.69974i) q^{39} +(-1.95611 - 1.08334i) q^{40} +(-7.37960 - 3.28561i) q^{41} +(7.97728 - 7.18277i) q^{42} +(-2.70671 + 1.56272i) q^{43} +(-0.656221 - 0.728807i) q^{44} +(-1.40648 + 16.1454i) q^{45} +(1.35631 + 4.17429i) q^{46} +(-1.67252 + 7.86857i) q^{47} +(-1.30205 - 2.92446i) q^{48} -4.24431 q^{49} +(-4.41648 - 2.34407i) q^{50} +(1.01064 - 1.75048i) q^{51} +(-0.898388 - 0.0944244i) q^{52} +(-1.16328 + 5.47282i) q^{53} +(-9.09887 + 10.1053i) q^{54} +(-1.49617 - 1.60325i) q^{55} +(-1.03621 + 3.18913i) q^{56} +(13.5178 + 3.46072i) q^{57} +(4.75781 + 1.54591i) q^{58} +(10.7002 + 4.76402i) q^{59} +(-3.02757 - 6.48635i) q^{60} +(-5.16643 + 2.30024i) q^{61} +(-3.83496 + 8.61347i) q^{62} +(24.1705 - 2.54042i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-2.01230 - 0.175299i) q^{65} +(-0.328162 - 3.12225i) q^{66} +(-7.99380 + 7.19765i) q^{67} +0.631410i q^{68} +(-4.34184 + 13.3628i) q^{69} +(-2.18956 + 7.17129i) q^{70} +(-11.0095 + 12.2273i) q^{71} +(1.50690 - 7.08939i) q^{72} +(5.89021 + 0.619086i) q^{73} +(4.29326 + 7.43615i) q^{74} +(-7.02731 - 14.3809i) q^{75} +(-4.19751 + 1.17513i) q^{76} +(-1.93297 + 2.66050i) q^{77} +(-2.14901 - 1.93498i) q^{78} +(1.55344 - 1.72527i) q^{79} +(1.83216 + 1.28187i) q^{80} +(-21.3108 + 4.52976i) q^{81} +(6.99573 + 4.03899i) q^{82} +(-5.95938 - 1.93632i) q^{83} +(-8.68438 + 6.30957i) q^{84} +(0.0251662 + 1.41165i) q^{85} +(2.85523 - 1.27123i) q^{86} +(9.41314 + 12.9561i) q^{87} +(0.576445 + 0.793409i) q^{88} +(4.77144 - 2.12438i) q^{89} +(3.08643 - 15.9099i) q^{90} +(0.316629 + 3.01252i) q^{91} +(-0.912548 - 4.29320i) q^{92} +(-26.1393 + 15.0915i) q^{93} +(2.48584 - 7.65064i) q^{94} +(-9.33758 + 2.79455i) q^{95} +(0.989230 + 3.04454i) q^{96} +(-8.71785 - 7.84958i) q^{97} +(4.22106 + 0.443651i) q^{98} +(3.55397 - 6.15566i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$3$	−2.37897	−	2.14203i	−1.37350	−	1.23670i	−0.942439	−	0.334378i	$-0.891474\pi$
$3$	−2.37897	−	2.14203i	−1.37350	−	1.23670i	−0.431058	−	0.902324i	$-0.641859\pi$
$4$	0.978148	+	0.207912i	0.489074	+	0.103956i
$5$	2.19514	+	0.425845i	0.981698	+	0.190444i
$5$	2.19514	+	0.425845i	0.981698	+	0.190444i
$6$	2.14203	+	2.37897i	0.874480	+	0.971209i
$7$		−	3.35325i		−	1.26741i	−0.773574	−	0.633705i	$-0.781533\pi$
$7$		−	3.35325i		−	1.26741i	0.773574	−	0.633705i	$-0.218467\pi$
$8$	−0.951057	−	0.309017i	−0.336249	−	0.109254i
$9$	0.757599	+	7.20807i	0.252533	+	2.40269i
$10$	−2.13861	−	0.652967i	−0.676286	−	0.206486i
$11$	−0.793409	−	0.576445i	−0.239222	−	0.173805i	0.461715	−	0.887028i	$-0.347234\pi$
$11$	−0.793409	−	0.576445i	−0.239222	−	0.173805i	−0.700936	+	0.713224i	$0.747234\pi$
$12$	−1.88163	−	2.58984i	−0.543179	−	0.747622i
$13$	−0.898388	+	0.0944244i	−0.249168	+	0.0261886i	−0.228289	−	0.973593i	$-0.573313\pi$
$13$	−0.898388	+	0.0944244i	−0.249168	+	0.0261886i	−0.0208790	+	0.999782i	$0.506646\pi$
$14$	−0.350510	+	3.33488i	−0.0936779	+	0.891285i
$15$	−4.31000	−	5.71514i	−1.11284	−	1.47564i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	0.131277	+	0.617612i	0.0318395	+	0.149793i	0.991196	−	0.132405i	$-0.0422699\pi$
$17$	0.131277	+	0.617612i	0.0318395	+	0.149793i	−0.959356	+	0.282198i	$0.908937\pi$
$18$		−	7.24778i		−	1.70832i
$19$	−3.86146	+	2.02216i	−0.885880	+	0.463915i
$19$	−3.86146	+	2.02216i	−0.885880	+	0.463915i
$20$	2.05864	+	0.872935i	0.460325	+	0.195194i
$21$	−7.18277	+	7.97728i	−1.56741	+	1.74078i
$22$	0.728807	+	0.656221i	0.155382	+	0.139907i
$23$	−1.78521	−	4.00965i	−0.372243	−	0.836070i	−0.998409	−	0.0563813i	$-0.982044\pi$
$23$	−1.78521	−	4.00965i	−0.372243	−	0.836070i	0.626167	−	0.779689i	$-0.284623\pi$
$24$	1.60061	+	2.77233i	0.326723	+	0.565900i
$25$	4.63731	+	1.86958i	0.927463	+	0.373916i
$26$	0.903337			0.177159
$27$	7.99273	−	11.0010i	1.53820	−	2.11715i
$28$	0.697181	−	3.27998i	0.131755	−	0.619857i
$29$	−4.89334	−	1.04011i	−0.908670	−	0.193144i	−0.270212	−	0.962801i	$-0.587094\pi$
$29$	−4.89334	−	1.04011i	−0.908670	−	0.193144i	−0.638458	+	0.769657i	$0.720427\pi$
$30$	3.68900	+	6.13435i	0.673515	+	1.11997i
$31$	2.91360	−	8.96714i	0.523298	−	1.61055i	−0.244358	−	0.969685i	$-0.578577\pi$
$31$	2.91360	−	8.96714i	0.523298	−	1.61055i	0.767656	−	0.640862i	$-0.221423\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	0.652729	+	3.07085i	0.113626	+	0.534566i
$34$	−0.0660003	−	0.627951i	−0.0113190	−	0.107693i
$35$	1.42797	−	7.36087i	0.241370	−	1.24421i
$36$	−0.757599	+	7.20807i	−0.126266	+	1.20135i
$37$	−5.04703	−	6.94664i	−0.829727	−	1.14202i	−0.987974	−	0.154622i	$-0.950584\pi$
$37$	−5.04703	−	6.94664i	−0.829727	−	1.14202i	0.158247	−	0.987400i	$-0.449416\pi$
$38$	4.05168	−	1.60745i	0.657269	−	0.260763i
$39$	2.33950	+	1.69974i	0.374619	+	0.272177i
$40$	−1.95611	−	1.08334i	−0.309289	−	0.171291i
$41$	−7.37960	−	3.28561i	−1.15250	−	0.513126i	−0.260639	−	0.965436i	$-0.583933\pi$
$41$	−7.37960	−	3.28561i	−1.15250	−	0.513126i	−0.891861	+	0.452310i	$0.850600\pi$
$42$	7.97728	−	7.18277i	1.23092	−	1.10833i
$43$	−2.70671	+	1.56272i	−0.412769	+	0.238312i	−0.691979	−	0.721918i	$-0.743261\pi$
$43$	−2.70671	+	1.56272i	−0.412769	+	0.238312i	0.279210	+	0.960230i	$0.409928\pi$
$44$	−0.656221	−	0.728807i	−0.0989290	−	0.109872i
$45$	−1.40648	+	16.1454i	−0.209666	+	2.40681i
$46$	1.35631	+	4.17429i	0.199977	+	0.615466i
$47$	−1.67252	+	7.86857i	−0.243961	+	1.14775i	0.670131	+	0.742243i	$0.266238\pi$
$47$	−1.67252	+	7.86857i	−0.243961	+	1.14775i	−0.914093	+	0.405506i	$0.867095\pi$
$48$	−1.30205	−	2.92446i	−0.187935	−	0.422109i
$49$	−4.24431			−0.606330
$50$	−4.41648	−	2.34407i	−0.624585	−	0.331502i
$51$	1.01064	−	1.75048i	0.141518	−	0.245116i
$52$	−0.898388	−	0.0944244i	−0.124584	−	0.0130943i
$53$	−1.16328	+	5.47282i	−0.159789	+	0.751749i	0.823151	+	0.567823i	$0.192214\pi$
$53$	−1.16328	+	5.47282i	−0.159789	+	0.751749i	−0.982940	+	0.183926i	$0.941119\pi$
$54$	−9.09887	+	10.1053i	−1.23820	+	1.37516i
$55$	−1.49617	−	1.60325i	−0.201743	−	0.216182i
$56$	−1.03621	+	3.18913i	−0.138470	+	0.426166i
$57$	13.5178	+	3.46072i	1.79048	+	0.458383i
$58$	4.75781	+	1.54591i	0.624731	+	0.202987i
$59$	10.7002	+	4.76402i	1.39304	+	0.620223i	0.959705	−	0.281009i	$-0.0906691\pi$
$59$	10.7002	+	4.76402i	1.39304	+	0.620223i	0.433338	+	0.901232i	$0.357336\pi$
$60$	−3.02757	−	6.48635i	−0.390858	−	0.837384i
$61$	−5.16643	+	2.30024i	−0.661494	+	0.294516i	−0.709890	−	0.704312i	$-0.751255\pi$
$61$	−5.16643	+	2.30024i	−0.661494	+	0.294516i	0.0483967	+	0.998828i	$0.484589\pi$
$62$	−3.83496	+	8.61347i	−0.487041	+	1.09391i
$63$	24.1705	−	2.54042i	3.04520	−	0.320063i
$64$	0.809017	+	0.587785i	0.101127	+	0.0734732i
$65$	−2.01230	−	0.175299i	−0.249595	−	0.0217431i
$66$	−0.328162	−	3.12225i	−0.0403940	−	0.384323i
$67$	−7.99380	+	7.19765i	−0.976598	+	0.879333i	−0.992709	−	0.120537i	$-0.961538\pi$
$67$	−7.99380	+	7.19765i	−0.976598	+	0.879333i	0.0161105	+	0.999870i	$0.494872\pi$
$68$			0.631410i			0.0765697i
$69$	−4.34184	+	13.3628i	−0.522696	+	1.60869i
$70$	−2.18956	+	7.17129i	−0.261703	+	0.857133i
$71$	−11.0095	+	12.2273i	−1.30659	+	1.45111i	−0.492569	+	0.870273i	$0.663942\pi$
$71$	−11.0095	+	12.2273i	−1.30659	+	1.45111i	−0.814018	+	0.580839i	$0.802725\pi$
$72$	1.50690	−	7.08939i	0.177590	−	0.835493i
$73$	5.89021	+	0.619086i	0.689397	+	0.0724585i	0.442748	−	0.896646i	$-0.354004\pi$
$73$	5.89021	+	0.619086i	0.689397	+	0.0724585i	0.246649	+	0.969105i	$0.420670\pi$
$74$	4.29326	+	7.43615i	0.499082	+	0.864435i
$75$	−7.02731	−	14.3809i	−0.811444	−	1.66057i
$76$	−4.19751	+	1.17513i	−0.481487	+	0.134796i
$77$	−1.93297	+	2.66050i	−0.220282	+	0.303192i
$78$	−2.14901	−	1.93498i	−0.243327	−	0.219093i
$79$	1.55344	−	1.72527i	0.174776	−	0.194108i	−0.649392	−	0.760454i	$-0.724977\pi$
$79$	1.55344	−	1.72527i	0.174776	−	0.194108i	0.824168	+	0.566346i	$0.191643\pi$
$80$	1.83216	+	1.28187i	0.204841	+	0.143318i
$81$	−21.3108	+	4.52976i	−2.36787	+	0.503306i
$82$	6.99573	+	4.03899i	0.772550	+	0.446032i
$83$	−5.95938	−	1.93632i	−0.654126	−	0.212539i	−0.0368937	−	0.999319i	$-0.511746\pi$
$83$	−5.95938	−	1.93632i	−0.654126	−	0.212539i	−0.617233	+	0.786781i	$0.711746\pi$
$84$	−8.68438	+	6.30957i	−0.947544	+	0.688431i
$85$	0.0251662	+	1.41165i	0.00272965	+	0.153115i
$86$	2.85523	−	1.27123i	0.307887	−	0.137080i
$87$	9.41314	+	12.9561i	1.00919	+	1.38904i
$88$	0.576445	+	0.793409i	0.0614492	+	0.0845776i
$89$	4.77144	−	2.12438i	0.505771	−	0.225184i	−0.137957	−	0.990438i	$-0.544054\pi$
$89$	4.77144	−	2.12438i	0.505771	−	0.225184i	0.643728	+	0.765254i	$0.277387\pi$
$90$	3.08643	−	15.9099i	0.325338	−	1.67705i
$91$	0.316629	+	3.01252i	0.0331917	+	0.315798i
$92$	−0.912548	−	4.29320i	−0.0951397	−	0.447597i
$93$	−26.1393	+	15.0915i	−2.71051	+	1.56492i
$94$	2.48584	−	7.65064i	0.256395	−	0.789103i
$95$	−9.33758	+	2.79455i	−0.958016	+	0.286715i
$96$	0.989230	+	3.04454i	0.100963	+	0.310732i
$97$	−8.71785	−	7.84958i	−0.885163	−	0.797004i	0.0949422	−	0.995483i	$-0.469733\pi$
$97$	−8.71785	−	7.84958i	−0.885163	−	0.797004i	−0.980105	+	0.198478i	$0.936400\pi$
$98$	4.22106	+	0.443651i	0.426391	+	0.0448155i
$99$	3.55397	−	6.15566i	0.357188	−	0.618667i
$100$	4.14727	+	2.79288i	0.414727	+	0.279288i
$101$	2.67297	−	4.62973i	0.265971	−	0.460675i	−0.701847	−	0.712328i	$-0.747641\pi$
$101$	2.67297	−	4.62973i	0.265971	−	0.460675i	0.967818	+	0.251653i	$0.0809742\pi$
$102$	−1.18808	+	1.63525i	−0.117637	+	0.161914i
$103$	−11.7693	+	3.82407i	−1.15966	+	0.376796i	−0.824774	−	0.565462i	$-0.808698\pi$
$103$	−11.7693	+	3.82407i	−1.15966	+	0.376796i	−0.334886	+	0.942259i	$0.608698\pi$
$104$	0.883597	+	0.187814i	0.0866438	+	0.0184167i
$105$	−19.1643	+	14.4525i	−1.87024	+	1.41042i
$106$	1.72898	−	5.32124i	0.167933	−	0.516845i
$107$		−	2.69268i		−	0.260311i	−0.991494	−	0.130156i	$-0.958452\pi$
$107$		−	2.69268i		−	0.260311i	0.991494	−	0.130156i	$-0.0415477\pi$
$108$	10.1053	−	9.09887i	0.972384	−	0.875539i
$109$	14.7976	+	6.58829i	1.41735	+	0.631044i	0.965346	−	0.260973i	$-0.0840432\pi$
$109$	14.7976	+	6.58829i	1.41735	+	0.631044i	0.452002	+	0.892017i	$0.350710\pi$
$110$	1.32039	+	1.75086i	0.125894	+	0.166938i
$111$	−2.87321	+	27.3367i	−0.272713	+	2.59469i
$112$	1.36389	−	3.06335i	0.128876	−	0.289459i
$113$	2.84410	+	3.91457i	0.267550	+	0.368251i	0.921561	−	0.388234i	$-0.126915\pi$
$113$	2.84410	+	3.91457i	0.267550	+	0.368251i	−0.654010	+	0.756486i	$0.726915\pi$
$114$	−13.0820	−	4.85475i	−1.22524	−	0.454689i
$115$	−2.21131	−	9.56199i	−0.206206	−	0.891660i
$116$	−4.57016	−	2.03476i	−0.424328	−	0.188923i
$117$	−1.36124	−	6.40411i	−0.125846	−	0.592060i
$118$	−10.1436	−	5.85639i	−0.933791	−	0.539125i
$119$	2.07101	−	0.440207i	0.189849	−	0.0403537i
$120$	2.33298	+	6.76728i	0.212971	+	0.617765i
$121$	−3.10198	−	9.54691i	−0.281998	−	0.867901i
$122$	5.37857	−	1.74760i	0.486953	−	0.158221i
$123$	10.5179	+	23.6237i	0.948371	+	2.13008i
$124$	4.71431	−	8.16542i	0.423357	−	0.733276i
$125$	9.38342	+	6.07877i	0.839278	+	0.543702i
$126$	−24.3036			−2.16514
$127$	−5.72904	−	12.8676i	−0.508370	−	1.14182i	−0.967367	−	0.253380i	$-0.918458\pi$
$127$	−5.72904	−	12.8676i	−0.508370	−	1.14182i	0.458997	−	0.888438i	$-0.348209\pi$
$128$	−0.743145	−	0.669131i	−0.0656853	−	0.0591433i
$129$	9.78656	+	2.08020i	0.861658	+	0.183151i
$130$	1.98295	+	0.384681i	0.173917	+	0.0337388i
$131$	3.94413	−	0.838351i	0.344600	−	0.0732470i	−0.0323606	−	0.999476i	$-0.510302\pi$
$131$	3.94413	−	0.838351i	0.344600	−	0.0732470i	0.376961	+	0.926229i	$0.376969\pi$
$132$			3.13945i			0.273254i
$133$	6.78081	+	12.9485i	0.587971	+	1.12277i
$134$	8.70237	−	6.32264i	0.751770	−	0.546193i
$135$	22.2299	−	20.7452i	1.91325	−	1.78546i
$136$	0.0660003	−	0.627951i	0.00565948	−	0.0538463i
$137$	20.8799	−	2.19457i	1.78389	−	0.187495i	0.845713	−	0.533639i	$-0.179176\pi$
$137$	20.8799	−	2.19457i	1.78389	−	0.187495i	0.938181	+	0.346144i	$0.112509\pi$
$138$	5.71485	−	12.8358i	0.486480	−	1.09265i
$139$	−3.44653	+	1.53449i	−0.292331	+	0.130154i	−0.547662	−	0.836700i	$-0.684482\pi$
$139$	−3.44653	+	1.53449i	−0.292331	+	0.130154i	0.255331	+	0.966854i	$0.417815\pi$
$140$	2.92717	−	6.90313i	0.247391	−	0.583421i
$141$	20.8336	−	15.1365i	1.75450	−	1.27472i
$142$	12.2273	−	11.0095i	1.02609	−	0.923897i
$143$	0.767219	+	0.442954i	0.0641581	+	0.0370417i
$144$	−2.23969	+	6.89304i	−0.186640	+	0.574420i
$145$	−10.2987	−	4.36700i	−0.855257	−	0.362659i
$146$	−5.79323	−	1.23139i	−0.479451	−	0.101910i
$147$	10.0971	+	9.09144i	0.832792	+	0.749850i
$148$	−3.49245	−	7.84418i	−0.287078	−	0.644788i
$149$	2.71683	+	4.70569i	0.222571	+	0.385505i	0.955588	−	0.294706i	$-0.0952216\pi$
$149$	2.71683	+	4.70569i	0.222571	+	0.385505i	−0.733017	+	0.680211i	$0.761888\pi$
$150$	5.48560	+	15.0367i	0.447897	+	1.22774i
$151$	−19.5704			−1.59261			−0.796307	−	0.604893i	$-0.793216\pi$
$151$	−19.5704			−1.59261			−0.796307	+	0.604893i	$0.793216\pi$
$152$	4.29735	−	0.729932i	0.348561	−	0.0592053i
$153$	−4.35233	+	1.41416i	−0.351865	+	0.114328i
$154$	2.20048	−	2.44388i	0.177319	−	0.196933i
$155$	10.2144	−	18.4434i	0.820439	−	1.48141i
$156$	1.93498	+	2.14901i	0.154922	+	0.172058i
$157$	−16.4110	+	9.47491i	−1.30974	+	0.756180i	−0.982053	−	0.188605i	$-0.939603\pi$
$157$	−16.4110	+	9.47491i	−1.30974	+	0.756180i	−0.327690	+	0.944785i	$0.606270\pi$
$158$	−1.72527	+	1.55344i	−0.137255	+	0.123585i
$159$	14.4904	−	10.5279i	1.14916	−	0.834914i
$160$	−1.68813	−	1.46636i	−0.133458	−	0.115926i
$161$	−13.4454	+	5.98627i	−1.05964	+	0.471784i
$162$	21.6676	−	2.27735i	1.70237	−	0.178926i
$163$	−8.72510	−	12.0091i	−0.683403	−	0.940623i	0.316566	−	0.948571i	$-0.397470\pi$
$163$	−8.72510	−	12.0091i	−0.683403	−	0.940623i	−0.999968	+	0.00794726i	$0.997470\pi$
$164$	−6.53522	−	4.74812i	−0.510315	−	0.370766i
$165$	0.125130	+	7.01892i	0.00974133	+	0.546422i
$166$	5.72433	+	2.54864i	0.444294	+	0.197812i
$167$	0.110505	−	0.0994993i	0.00855114	−	0.00769948i	−0.664844	−	0.746982i	$-0.731502\pi$
$167$	0.110505	−	0.0994993i	0.00855114	−	0.00769948i	0.673395	+	0.739283i	$0.264835\pi$
$168$	9.29634	−	5.36724i	0.717228	−	0.414092i
$169$	−11.9177	+	2.53319i	−0.916749	+	0.194861i
$170$	0.122529	−	1.40655i	0.00939757	−	0.107877i
$171$	−17.5013	−	26.3017i	−1.33836	−	2.01134i
$172$	−2.97247	+	0.965813i	−0.226648	+	0.0736426i
$173$	12.1079	+	1.27259i	0.920544	+	0.0967531i	0.552932	−	0.833226i	$-0.313509\pi$
$173$	12.1079	+	1.27259i	0.920544	+	0.0967531i	0.367612	+	0.929979i	$0.380175\pi$
$174$	−8.00729	−	13.8690i	−0.607031	−	1.05141i
$175$	6.26918	−	15.5501i	0.473905	−	1.17548i
$176$	−0.490353	−	0.849317i	−0.0369618	−	0.0640197i
$177$	−15.2507	−	34.2535i	−1.14631	−	2.57465i
$178$	−4.96736	+	1.61399i	−0.372319	+	0.120974i
$179$	3.68292	+	11.3349i	0.275274	+	0.847208i	0.989147	+	0.146932i	$0.0469397\pi$
$179$	3.68292	+	11.3349i	0.275274	+	0.847208i	−0.713872	+	0.700276i	$0.753060\pi$
$180$	−4.73256	+	15.5001i	−0.352744	+	1.15531i
$181$	1.16399	+	1.29274i	0.0865185	+	0.0960885i	0.784849	−	0.619687i	$-0.212740\pi$
$181$	1.16399	+	1.29274i	0.0865185	+	0.0960885i	−0.698331	+	0.715775i	$0.746074\pi$
$182$		−	3.02912i		−	0.224533i
$183$	17.2180	+	5.59445i	1.27279	+	0.413554i
$184$	0.458787	+	4.36507i	0.0338222	+	0.321797i
$185$	−8.12077	−	17.3981i	−0.597051	−	1.27914i
$186$	27.5736	−	12.2765i	2.02179	−	0.900159i
$187$	0.251863	−	0.565693i	0.0184180	−	0.0413675i
$188$	−3.27193	+	7.34888i	−0.238630	+	0.535972i
$189$	−36.8893	−	26.8016i	−2.68330	−	1.94953i
$190$	9.57854	−	1.80320i	0.694901	−	0.130818i
$191$	12.8189	−	9.31345i	0.927540	−	0.673897i	−0.0178492	−	0.999841i	$-0.505682\pi$
$191$	12.8189	−	9.31345i	0.927540	−	0.673897i	0.945389	+	0.325943i	$0.105682\pi$
$192$	−0.665570	−	3.13126i	−0.0480334	−	0.225979i
$193$	8.74513	−	5.04900i	0.629488	−	0.363435i	−0.151066	−	0.988524i	$-0.548270\pi$
$193$	8.74513	−	5.04900i	0.629488	−	0.363435i	0.780554	+	0.625089i	$0.214937\pi$
$194$	7.84958	+	8.71785i	0.563567	+	0.625905i
$195$	4.41170	+	4.72744i	0.315929	+	0.338539i
$196$	−4.15156	−	0.882442i	−0.296540	−	0.0630315i
$197$	−13.2166	+	4.29432i	−0.941640	+	0.305957i	−0.739314	−	0.673361i	$-0.764850\pi$
$197$	−13.2166	+	4.29432i	−0.941640	+	0.305957i	−0.202326	+	0.979318i	$0.564850\pi$
$198$	−4.17794	+	5.75045i	−0.296914	+	0.408666i
$199$	−2.24951	+	3.89626i	−0.159463	+	0.276199i	−0.934675	−	0.355502i	$-0.884310\pi$
$199$	−2.24951	+	3.89626i	−0.159463	+	0.276199i	0.775212	+	0.631701i	$0.217643\pi$
$200$	−3.83261	−	3.21109i	−0.271007	−	0.227058i
$201$	34.4346			2.42883
$202$	−3.14227	+	4.32496i	−0.221089	+	0.304303i
$203$	−3.48776	+	16.4086i	−0.244793	+	1.15166i
$204$	1.35250	−	1.50210i	0.0946938	−	0.105168i
$205$	−14.8001	−	10.3549i	−1.03369	−	0.723221i
$206$	12.1045	−	2.57289i	0.843361	−	0.179262i
$207$	27.5494	−	15.9056i	1.91481	−	1.10552i
$208$	−0.859124	−	0.279146i	−0.0595696	−	0.0193553i
$209$	4.22938	+	0.621520i	0.292552	+	0.0429915i
$210$	20.5700	−	12.3701i	1.41947	−	0.853621i
$211$	−0.385963	+	3.67219i	−0.0265708	+	0.252804i	0.973171	+	0.230083i	$0.0738997\pi$
$211$	−0.385963	+	3.67219i	−0.0265708	+	0.252804i	−0.999742	+	0.0227214i	$0.992767\pi$
$212$	−2.27573	+	5.11136i	−0.156297	+	0.351050i
$213$	52.3825	−	5.50562i	3.58919	−	0.377239i
$214$	−0.281462	+	2.67793i	−0.0192403	+	0.183060i
$215$	−6.60709	+	2.27775i	−0.450600	+	0.155342i
$216$	−11.0010	+	7.99273i	−0.748526	+	0.543836i
$217$	−30.0691	−	9.77005i	−2.04122	−	0.663234i
$218$	−14.0278	−	8.09897i	−0.950084	−	0.548531i
$219$	−12.6865	−	14.0898i	−0.857275	−	0.952100i
$220$	−1.13014	−	1.87928i	−0.0761941	−	0.126701i
$221$	−0.176256	−	0.542459i	−0.0118562	−	0.0364898i
$222$	5.71493	−	26.8866i	0.383561	−	1.80451i
$223$	3.43216	+	0.360734i	0.229834	+	0.0241566i	0.218745	−	0.975782i	$-0.429804\pi$
$223$	3.43216	+	0.360734i	0.229834	+	0.0241566i	0.0110889	+	0.999939i	$0.496470\pi$
$224$	−1.67663	+	2.90400i	−0.112024	+	0.194032i
$225$	−9.96285	+	34.8425i	−0.664190	+	2.32283i
$226$	−2.41934	−	4.19041i	−0.160932	−	0.278742i
$227$	6.10071	−	8.39691i	0.404918	−	0.557322i	−0.557051	−	0.830478i	$-0.688067\pi$
$227$	6.10071	−	8.39691i	0.404918	−	0.557322i	0.961970	+	0.273156i	$0.0880674\pi$
$228$	12.5029	+	6.19560i	0.828024	+	0.410314i
$229$	0.721547	+	2.22069i	0.0476812	+	0.146748i	0.972062	−	0.234722i	$-0.0754180\pi$
$229$	0.721547	+	2.22069i	0.0476812	+	0.146748i	−0.924381	+	0.381470i	$0.875418\pi$
$230$	1.19970	+	9.74075i	0.0791056	+	0.642286i
$231$	10.2973	−	2.18877i	0.677515	−	0.144010i
$232$	4.33243	+	2.50133i	0.284438	+	0.164220i
$233$	−2.68182	−	12.6170i	−0.175692	−	0.826565i	−0.974396	−	0.224840i	$-0.927814\pi$
$233$	−2.68182	−	12.6170i	−0.175692	−	0.826565i	0.798704	−	0.601724i	$-0.205519\pi$
$234$	0.684367	+	6.51132i	0.0447385	+	0.425658i
$235$	−7.02220	+	16.5604i	−0.458078	+	1.08028i
$236$	9.47584	+	6.88460i	0.616825	+	0.448150i
$237$	−7.39117	+	0.776843i	−0.480108	+	0.0504614i
$238$	−2.10568	+	0.221316i	−0.136491	+	0.0143458i
$239$	−3.96714	−	2.88230i	−0.256613	−	0.186440i	0.452039	−	0.891998i	$-0.350697\pi$
$239$	−3.96714	−	2.88230i	−0.256613	−	0.186440i	−0.708653	+	0.705558i	$0.750697\pi$
$240$	−1.61283	−	6.97407i	−0.104107	−	0.450174i
$241$	−2.69383	−	25.6301i	−0.173525	−	1.65098i	−0.641417	−	0.767193i	$-0.721653\pi$
$241$	−2.69383	−	25.6301i	−0.173525	−	1.65098i	0.467892	−	0.883786i	$-0.345014\pi$
$242$	2.08706	+	9.81886i	0.134161	+	0.631180i
$243$	25.0719	+	14.4752i	1.60836	+	0.928587i
$244$	−5.53178	+	1.17582i	−0.354136	+	0.0752739i
$245$	−9.31687	−	1.80742i	−0.595233	−	0.115472i
$246$	−7.99098	−	24.5937i	−0.509486	−	1.56804i
$247$	3.27815	−	2.18130i	0.208584	−	0.138793i
$248$	−5.54200	+	7.62791i	−0.351917	+	0.484373i
$249$	10.0295	+	17.3716i	0.635594	+	1.10088i
$250$	−8.69661	−	7.02631i	−0.550022	−	0.444383i
$251$	8.62622	−	14.9410i	0.544482	−	0.943071i	−0.454157	−	0.890922i	$-0.650060\pi$
$251$	8.62622	−	14.9410i	0.544482	−	0.943071i	0.998639	−	0.0521491i	$-0.0166071\pi$
$252$	24.1705	+	2.54042i	1.52260	+	0.160031i
$253$	−0.894942	+	4.21037i	−0.0562645	+	0.264704i
$254$	4.35262	+	13.3960i	0.273108	+	0.840539i
$255$	2.96393	−	3.41218i	0.185608	−	0.213679i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	6.86916	+	3.96591i	0.428487	+	0.247387i	0.698702	−	0.715413i	$-0.253761\pi$
$257$	6.86916	+	3.96591i	0.428487	+	0.247387i	−0.270215	+	0.962800i	$0.587095\pi$
$258$	−9.51551	−	3.09178i	−0.592409	−	0.192486i
$259$	−23.2939	+	16.9240i	−1.44741	+	1.05160i
$260$	−1.93188	−	0.589849i	−0.119810	−	0.0365809i
$261$	3.79001	−	36.0595i	0.234596	−	2.23203i
$262$	−4.01015	+	0.421484i	−0.247748	+	0.0260394i
$263$	6.56116	−	14.7366i	0.404578	−	0.908698i	−0.590259	−	0.807214i	$-0.700974\pi$
$263$	6.56116	−	14.7366i	0.404578	−	0.908698i	0.994837	−	0.101484i	$-0.0323590\pi$
$264$	0.328162	−	3.12225i	0.0201970	−	0.192162i
$265$	−4.88414	+	11.5182i	−0.300031	+	0.707560i
$266$	−5.39019	−	13.5863i	−0.330494	−	0.833030i
$267$	−15.9016	−	5.16673i	−0.973160	−	0.316199i
$268$	−9.31559	+	5.37836i	−0.569040	+	0.328536i
$269$	−27.0821	+	5.75648i	−1.65123	+	0.350979i	−0.937106	−	0.349045i	$-0.886506\pi$
$269$	−27.0821	+	5.75648i	−1.65123	+	0.350979i	−0.714119	+	0.700024i	$0.753173\pi$
$270$	−24.2766	+	18.3079i	−1.47743	+	1.11418i
$271$	6.48227	−	7.19929i	0.393770	−	0.437325i	−0.513362	−	0.858172i	$-0.671600\pi$
$271$	6.48227	−	7.19929i	0.393770	−	0.437325i	0.907132	+	0.420847i	$0.138267\pi$
$272$	−0.131277	+	0.617612i	−0.00795986	+	0.0374482i
$273$	5.69967	−	7.84492i	0.344960	−	0.474796i
$274$	−20.9950			−1.26835
$275$	−2.60157	−	4.15650i	−0.156881	−	0.250646i
$276$	−7.02524	+	12.1681i	−0.422870	+	0.732432i
$277$	−9.45347	+	13.0116i	−0.568004	+	0.781790i	−0.992316	−	0.123725i	$-0.960516\pi$
$277$	−9.45347	+	13.0116i	−0.568004	+	0.781790i	0.424312	+	0.905516i	$0.360516\pi$
$278$	3.58805	−	1.16583i	0.215197	−	0.0699217i
$279$	66.8432	+	14.2080i	4.00179	+	0.850608i
$280$	−3.63271	+	6.55934i	−0.217096	+	0.391996i
$281$	1.66483	+	1.84898i	0.0993153	+	0.110301i	0.790753	−	0.612135i	$-0.209689\pi$
$281$	1.66483	+	1.84898i	0.0993153	+	0.110301i	−0.691438	+	0.722436i	$0.743022\pi$
$282$	−22.3016	+	12.8759i	−1.32804	+	0.766746i
$283$	3.11972	+	14.6771i	0.185448	+	0.872465i	0.968209	+	0.250143i	$0.0804775\pi$
$283$	3.11972	+	14.6771i	0.185448	+	0.872465i	−0.782761	+	0.622323i	$0.786189\pi$
$284$	−13.3111	+	9.67109i	−0.789869	+	0.573874i
$285$	28.1998	+	13.3533i	1.67041	+	0.790979i
$286$	−0.716715	−	0.520724i	−0.0423803	−	0.0307911i
$287$	−11.0175	+	24.7457i	−0.650341	+	1.46069i
$288$	2.94794	−	6.62117i	0.173709	−	0.390156i
$289$	15.1661	−	6.75237i	0.892121	−	0.397198i
$290$	9.78576	+	5.41958i	0.574640	+	0.318248i
$291$	3.92541	+	37.3478i	0.230112	+	2.18937i
$292$	5.63278	+	1.83020i	0.329633	+	0.107104i
$293$		−	7.08126i		−	0.413692i	−0.978374	−	0.206846i	$-0.933680\pi$
$293$		−	7.08126i		−	0.413692i	0.978374	−	0.206846i	$-0.0663198\pi$
$294$	−9.09144	−	10.0971i	−0.530224	−	0.588873i
$295$	21.4597	+	15.0143i	1.24943	+	0.874167i
$296$	2.65338	+	8.16627i	0.154225	+	0.474655i
$297$	−12.6830	+	4.12096i	−0.735942	+	0.239122i
$298$	−2.21007	−	4.96390i	−0.128026	−	0.287551i
$299$	1.98242	+	3.43366i	0.114646	+	0.198574i
$300$	−3.88378	−	15.5277i	−0.224230	−	0.896494i
$301$	5.24019	+	9.07628i	0.302040	+	0.523148i
$302$	19.4632	+	2.04566i	1.11998	+	0.117715i
$303$	−16.2759	+	5.28837i	−0.935028	+	0.303809i
$304$	−4.35011	+	0.276738i	−0.249496	+	0.0158720i
$305$	−12.3206	+	2.84927i	−0.705476	+	0.163149i
$306$	4.47631	−	0.951469i	0.255894	−	0.0543919i
$307$	−8.16120	+	4.71187i	−0.465784	+	0.268921i	−0.714473	−	0.699663i	$-0.753334\pi$
$307$	−8.16120	+	4.71187i	−0.465784	+	0.268921i	0.248689	+	0.968583i	$0.420000\pi$
$308$	−2.44388	+	2.20048i	−0.139253	+	0.125384i
$309$	36.1899	+	16.1128i	2.05877	+	0.916625i
$310$	−12.0863	+	17.2747i	−0.686455	+	0.981137i
$311$	26.5069	+	19.2584i	1.50307	+	1.09204i	0.969139	+	0.246515i	$0.0792853\pi$
$311$	26.5069	+	19.2584i	1.50307	+	1.09204i	0.533930	+	0.845529i	$0.320715\pi$
$312$	−1.69974	−	2.33950i	−0.0962290	−	0.132448i
$313$	−19.7062	+	2.07121i	−1.11386	+	0.117072i	−0.643532	−	0.765419i	$-0.722532\pi$
$313$	−19.7062	+	2.07121i	−1.11386	+	0.117072i	−0.470329	+	0.882491i	$0.655865\pi$
$314$	17.3115	−	7.70759i	0.976946	−	0.434964i
$315$	54.1395	+	4.71629i	3.05042	+	0.265733i
$316$	1.87820	−	1.36459i	0.105657	−	0.0767642i
$317$	−1.51613	+	1.36513i	−0.0851542	+	0.0766731i	−0.710609	−	0.703588i	$-0.751580\pi$
$317$	−1.51613	+	1.36513i	−0.0851542	+	0.0766731i	0.625454	+	0.780261i	$0.284914\pi$
$318$	−15.5114	+	8.95553i	−0.869838	+	0.502201i
$319$	3.28285	+	3.64597i	0.183804	+	0.204135i
$320$	1.52560	+	1.63479i	0.0852838	+	0.0913875i
$321$	−5.76781	+	6.40580i	−0.321928	+	0.357537i
$322$	13.9975	−	4.54805i	0.780048	−	0.253453i
$323$	−1.75583	−	2.11942i	−0.0976971	−	0.117928i
$324$	−21.7869			−1.21038
$325$	−4.34264	−	1.24173i	−0.240886	−	0.0688790i
$326$	7.42202	+	12.8553i	0.411067	+	0.711990i
$327$	−21.0905	−	47.3701i	−1.16631	−	2.61957i
$328$	6.00311	+	5.40522i	0.331466	+	0.298453i
$329$	26.3853	+	5.60837i	1.45467	+	0.309199i
$330$	0.609232	−	6.99354i	0.0335371	−	0.384982i
$331$	7.12708	−	21.9349i	0.391740	−	1.20565i	−0.539732	−	0.841837i	$-0.681474\pi$
$331$	7.12708	−	21.9349i	0.391740	−	1.20565i	0.931472	−	0.363814i	$-0.118526\pi$
$332$	−5.42657	−	3.13303i	−0.297821	−	0.171947i
$333$	46.2483	−	41.6421i	2.53439	−	2.28198i
$334$	−0.120300	+	0.0874033i	−0.00658254	+	0.00478249i
$335$	−20.6126	+	12.3958i	−1.12619	+	0.677253i
$336$	−9.80644	+	4.36611i	−0.534985	+	0.238191i
$337$	0.243479	−	0.546864i	0.0132632	−	0.0297896i	−0.906792	−	0.421577i	$-0.861477\pi$
$337$	0.243479	−	0.546864i	0.0132632	−	0.0297896i	0.920056	+	0.391788i	$0.128143\pi$
$338$	12.1172	−	1.27357i	0.659091	−	0.0692732i
$339$	1.61911	−	15.4048i	0.0879378	−	0.836672i
$340$	−0.268882	+	1.38603i	−0.0145822	+	0.0751683i
$341$	−7.48074	+	5.43508i	−0.405105	+	0.294326i
$342$	14.6562	+	27.9870i	0.792514	+	1.51336i
$343$		−	9.24053i		−	0.498942i
$344$	3.05714	−	0.649815i	0.164830	−	0.0350357i
$345$	−15.2214	+	27.4843i	−0.819495	+	1.47971i
$346$	−11.9085	−	2.53123i	−0.640206	−	0.136080i
$347$	−24.4392	−	22.0052i	−1.31196	−	1.18130i	−0.970417	−	0.241434i	$-0.922382\pi$
$347$	−24.4392	−	22.0052i	−1.31196	−	1.18130i	−0.341548	−	0.939864i	$-0.610951\pi$
$348$	6.51372	+	14.6301i	0.349172	+	0.784253i
$349$	−14.5904			−0.781008			−0.390504	−	0.920601i	$-0.627699\pi$
$349$	−14.5904			−0.781008			−0.390504	+	0.920601i	$0.627699\pi$
$350$	−7.86026	+	14.8096i	−0.420149	+	0.791606i
$351$	−6.14181	+	10.6379i	−0.327825	+	0.567810i
$352$	0.398889	+	0.895920i	0.0212609	+	0.0477527i
$353$	−13.6501	+	4.43519i	−0.726523	+	0.236062i	−0.648849	−	0.760917i	$-0.724749\pi$
$353$	−13.6501	+	4.43519i	−0.726523	+	0.236062i	−0.0776738	+	0.996979i	$0.524749\pi$
$354$	11.5866	+	35.6600i	0.615823	+	1.89531i
$355$	−29.3744	+	22.1523i	−1.55903	+	1.17572i
$356$	5.10885	−	1.08592i	0.270769	−	0.0575536i
$357$	−5.86980	−	3.38893i	−0.310663	−	0.179361i
$358$	−2.47793	−	11.6577i	−0.130963	−	0.616131i
$359$	−20.8737	−	9.29359i	−1.10167	−	0.490497i	−0.226356	−	0.974045i	$-0.572681\pi$
$359$	−20.8737	−	9.29359i	−1.10167	−	0.490497i	−0.875318	+	0.483548i	$0.839348\pi$
$360$	6.32684	−	14.9205i	0.333454	−	0.786381i
$361$	10.8217	−	15.6170i	0.569565	−	0.821946i
$362$	−1.02248	−	1.40733i	−0.0537405	−	0.0739674i
$363$	−13.0703	+	29.3563i	−0.686011	+	1.54081i
$364$	−0.316629	+	3.01252i	−0.0165959	+	0.157899i
$365$	12.6662	+	3.86730i	0.662980	+	0.202424i
$366$	−16.5389	−	7.36357i	−0.864500	−	0.384900i
$367$	11.1146	−	10.0076i	0.580178	−	0.522394i	−0.325957	−	0.945385i	$-0.605686\pi$
$367$	11.1146	−	10.0076i	0.580178	−	0.522394i	0.906134	+	0.422991i	$0.139020\pi$
$368$		−	4.38911i		−	0.228798i
$369$	18.0921	−	55.6819i	0.941839	−	2.89868i
$370$	6.25768	+	18.1517i	0.325321	+	0.943661i
$371$	18.3517	+	3.90078i	0.952775	+	0.202519i
$372$	−28.7058	+	9.32706i	−1.48832	+	0.483586i
$373$	16.9755	−	23.3648i	0.878960	−	1.20979i	−0.0977474	−	0.995211i	$-0.531164\pi$
$373$	16.9755	−	23.3648i	0.878960	−	1.20979i	0.976708	−	0.214574i	$-0.0688363\pi$
$374$	−0.309614	+	0.536267i	−0.0160097	+	0.0277297i
$375$	−9.30191	−	34.5608i	−0.480349	−	1.78471i
$376$	4.02218	−	6.96662i	0.207428	−	0.359276i
$377$	4.49433	+	0.472373i	0.231470	+	0.0243285i
$378$	33.8857	+	30.5108i	1.74289	+	1.56931i
$379$	−2.99884	−	9.22948i	−0.154040	−	0.474086i	0.844022	−	0.536308i	$-0.180181\pi$
$379$	−2.99884	−	9.22948i	−0.154040	−	0.474086i	−0.998062	+	0.0622216i	$0.980181\pi$
$380$	−9.71456	+	0.792089i	−0.498346	+	0.0406333i
$381$	−13.9337	+	42.8834i	−0.713844	+	2.19699i
$382$	−13.7222	+	7.92249i	−0.702087	+	0.405350i
$383$	3.49918	+	16.4624i	0.178800	+	0.841188i	0.972504	+	0.232884i	$0.0748163\pi$
$383$	3.49918	+	16.4624i	0.178800	+	0.841188i	−0.793704	+	0.608304i	$0.791850\pi$
$384$	0.334618	+	3.18368i	0.0170759	+	0.162466i
$385$	−5.37610	+	5.01704i	−0.273991	+	0.255692i
$386$	−9.22499	+	4.10723i	−0.469539	+	0.209052i
$387$	−13.3148	−	18.3262i	−0.676829	−	0.931575i
$388$	−6.89532	−	9.49059i	−0.350057	−	0.481812i
$389$	−24.0002	+	10.6856i	−1.21686	+	0.541779i	−0.911831	−	0.410565i	$-0.865332\pi$
$389$	−24.0002	+	10.6856i	−1.21686	+	0.541779i	−0.305025	+	0.952344i	$0.598665\pi$
$390$	−3.89338	−	5.16269i	−0.197149	−	0.261423i
$391$	2.24205	−	1.62895i	0.113385	−	0.0823793i
$392$	4.03658	+	1.31156i	0.203878	+	0.0662440i
$393$	−11.1787	−	6.45404i	−0.563892	−	0.325563i
$394$	13.5930	−	2.88929i	0.684807	−	0.145560i
$395$	4.14472	−	3.12569i	0.208544	−	0.157271i
$396$	4.75614	−	5.28223i	0.239005	−	0.265442i
$397$	−9.30242	−	8.37594i	−0.466875	−	0.420376i	0.401824	−	0.915717i	$-0.368376\pi$
$397$	−9.30242	−	8.37594i	−0.466875	−	0.420376i	−0.868699	+	0.495341i	$0.835043\pi$
$398$	2.64446	−	3.63978i	0.132555	−	0.182446i
$399$	11.6047	−	45.3286i	0.580960	−	2.26927i
$400$	3.47597	+	3.59411i	0.173798	+	0.179706i
$401$	0.859126	+	1.48805i	0.0429027	+	0.0743096i	0.886679	−	0.462385i	$-0.153006\pi$
$401$	0.859126	+	1.48805i	0.0429027	+	0.0743096i	−0.843777	+	0.536694i	$0.819673\pi$
$402$	−34.2459	−	3.59939i	−1.70803	−	0.179521i
$403$	−1.77083	+	8.33109i	−0.0882112	+	0.415001i
$404$	3.57714	−	3.97281i	0.177969	−	0.197655i
$405$	−48.7093	+	0.868364i	−2.42038	+	0.0431494i
$406$	5.18382	−	15.9541i	0.257269	−	0.791791i
$407$			8.42086i			0.417407i
$408$	−1.50210	+	1.35250i	−0.0743651	+	0.0669587i
$409$	−1.03613	−	9.85809i	−0.0512332	−	0.487451i	−0.989811	−	0.142385i	$-0.954523\pi$
$409$	−1.03613	−	9.85809i	−0.0512332	−	0.487451i	0.938578	−	0.345067i	$-0.112144\pi$
$410$	13.6367	+	11.8453i	0.673467	+	0.584996i
$411$	−54.3735	−	39.5047i	−2.68205	−	1.94862i
$412$	−12.3071	+	1.29353i	−0.606329	+	0.0637278i
$413$	15.9750	−	35.8804i	0.786077	−	1.76556i
$414$	−29.0611	+	12.9388i	−1.42827	+	0.635908i
$415$	−12.2571	−	6.78827i	−0.601678	−	0.333223i
$416$	0.825239	+	0.367420i	0.0404607	+	0.0180143i
$417$	11.4861	+	3.73206i	0.562477	+	0.182760i
$418$	−4.14124	−	1.06021i	−0.202555	−	0.0518564i
$419$	1.01143	−	3.11286i	0.0494116	−	0.152073i	−0.923306	−	0.384064i	$-0.874524\pi$
$419$	1.01143	−	3.11286i	0.0494116	−	0.152073i	0.972718	+	0.231991i	$0.0745241\pi$
$420$	−21.7504	+	10.1522i	−1.06131	+	0.495378i
$421$	25.0876	−	27.8626i	1.22269	−	1.35794i	0.309245	−	0.950982i	$-0.399924\pi$
$421$	25.0876	−	27.8626i	1.22269	−	1.35794i	0.913448	−	0.406955i	$-0.133410\pi$
$422$	0.767698	−	3.61173i	0.0373709	−	0.175816i
$423$	−57.9843	−	6.09439i	−2.81929	−	0.296320i
$424$	2.79754	−	4.84548i	0.135861	−	0.235318i
$425$	−0.545900	+	3.10949i	−0.0264801	+	0.150833i
$426$	−52.6710			−2.55192
$427$	7.71330	+	17.3244i	0.373273	+	0.838384i
$428$	0.559840	−	2.63384i	0.0270609	−	0.127311i
$429$	−0.876367	−	2.69718i	−0.0423114	−	0.130221i
$430$	6.80898	−	1.57465i	0.328358	−	0.0759363i
$431$	−20.8914	−	23.2023i	−1.00631	−	1.11762i	−0.993049	−	0.117704i	$-0.962447\pi$
$431$	−20.8914	−	23.2023i	−1.00631	−	1.11762i	−0.0132569	−	0.999912i	$-0.504220\pi$
$432$	11.7762	−	6.79902i	0.566585	−	0.327118i
$433$	−7.26212	+	6.53885i	−0.348995	+	0.314237i	−0.824920	−	0.565249i	$-0.808780\pi$
$433$	−7.26212	+	6.53885i	−0.348995	+	0.314237i	0.475925	+	0.879486i	$0.342113\pi$
$434$	28.8831	+	12.8596i	1.38644	+	0.617281i
$435$	15.1459	+	32.4490i	0.726191	+	1.55581i
$436$	13.1044	+	9.52091i	0.627587	+	0.455969i
$437$	15.0017	+	11.8731i	0.717628	+	0.567969i
$438$	11.1442	+	15.3387i	0.532492	+	0.732912i
$439$	1.65131	−	15.7111i	0.0788126	−	0.749851i	−0.881737	−	0.471742i	$-0.843625\pi$
$439$	1.65131	−	15.7111i	0.0788126	−	0.749851i	0.960549	−	0.278110i	$-0.0897079\pi$
$440$	0.927511	+	1.98712i	0.0442173	+	0.0947323i
$441$	−3.21548	−	30.5933i	−0.153118	−	1.45682i
$442$	0.118588	+	0.557911i	0.00564064	+	0.0265371i
$443$	0.872648	+	0.503824i	0.0414608	+	0.0239374i	0.520587	−	0.853809i	$-0.325713\pi$
$443$	0.872648	+	0.503824i	0.0414608	+	0.0239374i	−0.479126	+	0.877746i	$0.659046\pi$
$444$	−8.49405	+	26.1420i	−0.403110	+	1.24064i
$445$	11.3786	−	2.63143i	0.539399	−	0.124742i
$446$	−3.37565	−	0.717516i	−0.159842	−	0.0339754i
$447$	3.61648	−	17.0142i	0.171054	−	0.804744i
$448$	1.97099	−	2.71284i	0.0931207	−	0.128170i
$449$	33.8722			1.59853			0.799264	−	0.600980i	$-0.205223\pi$
$449$	33.8722			1.59853			0.799264	+	0.600980i	$0.205223\pi$
$450$	13.5503	−	33.6102i	0.638767	−	1.58440i
$451$	3.96106	+	6.86076i	0.186519	+	0.323061i
$452$	1.96806	+	4.42035i	0.0925700	+	0.207916i
$453$	46.5572	+	41.9203i	2.18745	+	1.96959i
$454$	−6.94501	+	7.71321i	−0.325945	+	0.361999i
$455$	−0.587821	+	6.74776i	−0.0275575	+	0.316340i
$456$	−11.7868	−	7.46857i	−0.551967	−	0.349748i
$457$		−	33.2050i		−	1.55327i	−0.629953	−	0.776633i	$-0.716926\pi$
$457$		−	33.2050i		−	1.55327i	0.629953	−	0.776633i	$-0.283074\pi$
$458$	−0.485469	−	2.28395i	−0.0226845	−	0.106722i
$459$	7.84364	+	3.49221i	0.366110	+	0.163003i
$460$	−0.174937	−	9.81279i	−0.00815650	−	0.457524i
$461$	−0.622831	+	5.92584i	−0.0290081	+	0.275994i	0.970397	+	0.241514i	$0.0776440\pi$
$461$	−0.622831	+	5.92584i	−0.0290081	+	0.275994i	−0.999405	+	0.0344796i	$0.989023\pi$
$462$	−10.4697	+	1.10041i	−0.487095	+	0.0511958i
$463$	−0.669502	−	0.921491i	−0.0311144	−	0.0428253i	0.793176	−	0.608992i	$-0.208426\pi$
$463$	−0.669502	−	0.921491i	−0.0311144	−	0.0428253i	−0.824291	+	0.566167i	$0.808426\pi$
$464$	−4.04724	−	2.94049i	−0.187888	−	0.136509i
$465$	−63.8061	+	21.9968i	−2.95894	+	1.02008i
$466$	1.34830	+	12.8282i	0.0624586	+	0.594254i
$467$	20.9464	+	6.80591i	0.969286	+	0.314940i	0.750528	−	0.660839i	$-0.229799\pi$
$467$	20.9464	+	6.80591i	0.969286	+	0.314940i	0.218758	+	0.975779i	$0.429799\pi$
$468$		−	6.54718i		−	0.302644i
$469$	24.1356	+	26.8052i	1.11448	+	1.23775i
$470$	8.71476	−	15.7357i	0.401982	−	0.725832i
$471$	59.3368	+	12.6124i	2.73410	+	0.581150i
$472$	−8.70430	−	7.83738i	−0.400648	−	0.360745i
$473$	3.04835	+	0.320394i	0.140163	+	0.0147317i
$474$	7.43188			0.341358
$475$	−21.6874	+	2.15808i	−0.995086	+	0.0990194i
$476$	2.11728			0.0970452
$477$	−40.3298	−	4.23883i	−1.84657	−	0.194083i
$478$	3.64413	+	3.28119i	0.166679	+	0.150078i
$479$	−8.42024	−	1.78978i	−0.384730	−	0.0817770i	0.0114862	−	0.999934i	$-0.496344\pi$
$479$	−8.42024	−	1.78978i	−0.384730	−	0.0817770i	−0.396217	+	0.918157i	$0.629677\pi$
$480$	0.875002	+	7.10445i	0.0399382	+	0.324272i
$481$	5.19013	+	5.76422i	0.236649	+	0.262826i
$482$			25.7713i			1.17385i
$483$	44.8089	+	14.5593i	2.03887	+	0.662471i
$484$	−1.04928	−	9.98322i	−0.0476945	−	0.453783i
$485$	−15.7942	−	20.9434i	−0.717179	−	0.950991i
$486$	−23.4214	−	17.0167i	−1.06242	−	0.771892i
$487$	−22.1653	−	30.5079i	−1.00440	−	1.38244i	−0.922584	−	0.385796i	$-0.873927\pi$
$487$	−22.1653	−	30.5079i	−1.00440	−	1.38244i	−0.0818200	−	0.996647i	$-0.526073\pi$
$488$	5.62438	−	0.591146i	0.254604	−	0.0267599i
$489$	−4.96708	+	47.2586i	−0.224619	+	2.13711i
$490$	9.07691	+	2.77139i	0.410053	+	0.125199i
$491$	−27.5083	−	12.2475i	−1.24143	−	0.552721i	−0.322287	−	0.946642i	$-0.604452\pi$
$491$	−27.5083	−	12.2475i	−1.24143	−	0.552721i	−0.919144	+	0.393921i	$0.871118\pi$
$492$	5.37646	+	25.2943i	0.242389	+	1.14035i
$493$		−	3.15873i		−	0.142262i
$494$	−3.48820	+	1.82669i	−0.156941	+	0.0821867i
$495$	10.4228	−	11.9991i	0.468471	−	0.539320i
$496$	6.30897	−	7.00683i	0.283281	−	0.314616i
$497$	41.0012	+	36.9177i	1.83916	+	1.65598i
$498$	−8.15873	−	18.3248i	−0.365601	−	0.821154i
$499$	3.72735	+	6.45596i	0.166859	+	0.289008i	0.937314	−	0.348486i	$-0.113304\pi$
$499$	3.72735	+	6.45596i	0.166859	+	0.289008i	−0.770455	+	0.637495i	$0.779971\pi$
$500$	7.91452	+	7.89686i	0.353948	+	0.353158i
$501$	−0.476018			−0.0212669
$502$	−10.1407	+	13.9575i	−0.452603	+	0.622954i
$503$	−2.41267	+	11.3507i	−0.107576	+	0.506105i	0.891060	+	0.453886i	$0.149963\pi$
$503$	−2.41267	+	11.3507i	−0.107576	+	0.506105i	−0.998636	+	0.0522187i	$0.983371\pi$
$504$	−23.7725	−	5.05301i	−1.05891	−	0.225079i
$505$	7.83911	−	9.02464i	0.348836	−	0.401591i
$506$	1.33014	−	4.09376i	0.0591320	−	0.181990i
$507$	33.7781	+	19.5018i	1.50014	+	0.866104i
$508$	−2.92851	−	13.7776i	−0.129932	−	0.611281i
$509$	1.56352	+	14.8759i	0.0693018	+	0.659362i	0.972939	+	0.231063i	$0.0742204\pi$
$509$	1.56352	+	14.8759i	0.0693018	+	0.659362i	−0.903637	+	0.428299i	$0.859113\pi$
$510$	−3.30436	+	3.08367i	−0.146320	+	0.136547i
$511$	2.07595	−	19.7514i	0.0918347	−	0.873749i
$512$	−0.587785	−	0.809017i	−0.0259767	−	0.0357538i
$513$	−8.61772	+	58.6427i	−0.380482	+	2.58914i
$514$	−6.41698	−	4.66221i	−0.283041	−	0.205641i
$515$	−27.4637	+	3.38250i	−1.21019	+	0.149051i
$516$	9.14020	+	4.06948i	0.402375	+	0.179149i
$517$	5.86278	−	5.27887i	0.257845	−	0.232165i
$518$	24.9353	−	14.3964i	1.09559	−	0.632541i
$519$	−26.0783	−	28.9629i	−1.14471	−	1.27133i
$520$	1.85964	+	0.788554i	0.0815507	+	0.0345804i
$521$	−6.41168	−	19.7331i	−0.280901	−	0.864524i	−0.987597	−	0.157007i	$-0.949815\pi$
$521$	−6.41168	−	19.7331i	−0.280901	−	0.864524i	0.706697	−	0.707517i	$-0.250185\pi$
$522$	−7.53849	+	35.4658i	−0.329951	+	1.55230i
$523$	−6.40077	−	14.3764i	−0.279886	−	0.628635i	0.717827	−	0.696221i	$-0.245137\pi$
$523$	−6.40077	−	14.3764i	−0.279886	−	0.628635i	−0.997713	+	0.0675864i	$0.978470\pi$
$524$	4.03224			0.176149
$525$	−48.2229	+	23.5644i	−2.10462	+	1.02843i
$526$	−8.06561	+	13.9700i	−0.351677	+	0.609123i
$527$	5.92070	+	0.622291i	0.257910	+	0.0271074i
$528$	−0.652729	+	3.07085i	−0.0284064	+	0.133642i
$529$	2.49967	−	2.77617i	0.108681	−	0.120703i
$530$	6.06137	−	10.9446i	0.263289	−	0.475404i
$531$	−26.2330	+	80.7368i	−1.13841	+	3.50368i
$532$	3.94050	+	14.0753i	0.170842	+	0.610242i
$533$	6.93999	+	2.25494i	0.300604	+	0.0976722i
$534$	15.2744	+	6.80060i	0.660987	+	0.294291i
$535$	1.14666	−	5.91082i	0.0495746	−	0.255547i
$536$	9.82675	−	4.37515i	0.424451	−	0.188978i
$537$	15.5181	−	34.8542i	0.669655	−	1.50407i
$538$	27.5355	−	2.89409i	1.18714	−	0.124773i
$539$	3.36747	+	2.44661i	0.145047	+	0.105383i
$540$	26.0573	−	15.6700i	1.12133	−	0.674330i
$541$	−1.74160	−	16.5702i	−0.0748773	−	0.712410i	−0.965981	−	0.258611i	$-0.916735\pi$
$541$	−1.74160	−	16.5702i	−0.0748773	−	0.712410i	0.891104	−	0.453799i	$-0.149932\pi$
$542$	−7.19929	+	6.48227i	−0.309236	+	0.278437i
$543$		−	5.56868i		−	0.238975i
$544$	0.195116	−	0.600506i	0.00836554	−	0.0257465i
$545$	29.6772	+	20.7637i	1.27123	+	0.889420i
$546$	−6.48846	+	7.20617i	−0.277681	+	0.308396i
$547$	−8.97691	+	42.2330i	−0.383825	+	1.80575i	0.184367	+	0.982857i	$0.440976\pi$
$547$	−8.97691	+	42.2330i	−0.383825	+	1.80575i	−0.568192	+	0.822896i	$0.692357\pi$
$548$	20.8799	+	2.19457i	0.891947	+	0.0937474i
$549$	−20.4944	−	35.4973i	−0.874679	−	1.51499i
$550$	2.15285	+	4.40567i	0.0917978	+	0.187858i
$551$	20.9987	−	5.87876i	0.894575	−	0.250444i
$552$	8.25867	−	11.3671i	0.351512	−	0.483815i
$553$	−5.78527	−	5.20908i	−0.246015	−	0.221513i
$554$	10.7618	−	11.9522i	0.457224	−	0.507798i
$555$	−17.9483	+	58.7845i	−0.761863	+	2.49526i
$556$	−3.69025	+	0.784388i	−0.156502	+	0.0332654i
$557$	−15.3053	−	8.83651i	−0.648506	−	0.374415i	0.139378	−	0.990239i	$-0.455490\pi$
$557$	−15.3053	−	8.83651i	−0.648506	−	0.374415i	−0.787884	+	0.615824i	$0.788823\pi$
$558$	−64.9918	−	21.1171i	−2.75132	−	0.893959i
$559$	2.28412	−	1.65951i	0.0966078	−	0.0701897i
$560$	4.29845	−	6.14369i	0.181643	−	0.259618i
$561$	−1.81090	+	0.806266i	−0.0764564	+	0.0340406i
$562$	−1.46244	−	2.01287i	−0.0616891	−	0.0849078i
$563$	22.9337	+	31.5655i	0.966539	+	1.33033i	0.943776	+	0.330586i	$0.107247\pi$
$563$	22.9337	+	31.5655i	0.966539	+	1.33033i	0.0227637	+	0.999741i	$0.492753\pi$
$564$	23.5254	−	10.4742i	0.990596	−	0.441042i
$565$	4.57621	+	9.80418i	0.192523	+	0.412465i
$566$	−1.56845	−	14.9228i	−0.0659270	−	0.627254i
$567$	15.1894	+	71.4606i	0.637896	+	3.00106i
$568$	14.2491	−	8.22672i	0.597879	−	0.345186i
$569$	−9.96295	+	30.6628i	−0.417668	+	1.28545i	0.492174	+	0.870497i	$0.336202\pi$
$569$	−9.96295	+	30.6628i	−0.417668	+	1.28545i	−0.909842	+	0.414954i	$0.863798\pi$
$570$	−26.6495	−	16.2278i	−1.11623	−	0.679707i
$571$	1.10732	+	3.40798i	0.0463399	+	0.142619i	0.971549	−	0.236837i	$-0.0761109\pi$
$571$	1.10732	+	3.40798i	0.0463399	+	0.142619i	−0.925209	+	0.379457i	$0.876111\pi$
$572$	0.658358	+	0.592789i	0.0275273	+	0.0247857i
$573$	−50.4453	−	5.30202i	−2.10738	−	0.221495i
$574$	13.5438	−	23.4585i	0.565305	−	0.979138i
$575$	−0.782219	−	21.9316i	−0.0326208	−	0.914611i
$576$	−3.62389	+	6.27676i	−0.150995	+	0.261532i
$577$	−6.91688	+	9.52027i	−0.287954	+	0.396334i	−0.928348	−	0.371712i	$-0.878771\pi$
$577$	−6.91688	+	9.52027i	−0.287954	+	0.396334i	0.640394	+	0.768046i	$0.278771\pi$
$578$	−15.7888	+	5.13009i	−0.656727	+	0.213384i
$579$	−31.6195	−	6.72093i	−1.31406	−	0.279312i
$580$	−9.16566	−	6.41278i	−0.380583	−	0.266276i
$581$	−6.49297	+	19.9833i	−0.269374	+	0.829047i
$582$		−	37.5535i		−	1.55664i
$583$	4.07774	−	3.67161i	0.168883	−	0.152063i
$584$	−5.41061	−	2.40896i	−0.223893	−	0.0996835i
$585$	−0.260952	−	14.6376i	−0.0107890	−	0.605191i
$586$	−0.740193	+	7.04247i	−0.0305771	+	0.290922i
$587$	2.15817	−	4.84732i	0.0890770	−	0.200070i	−0.863513	−	0.504326i	$-0.831741\pi$
$587$	2.15817	−	4.84732i	0.0890770	−	0.200070i	0.952590	+	0.304256i	$0.0984077\pi$
$588$	7.98621	+	10.9921i	0.329346	+	0.453305i
$589$	6.88224	+	40.5180i	0.283578	+	1.66952i
$590$	−19.7727	−	17.1752i	−0.814029	−	0.707092i
$591$	40.6403	+	18.0942i	1.67172	+	0.744297i
$592$	−1.78524	−	8.39889i	−0.0733729	−	0.345192i
$593$	−8.60718	−	4.96936i	−0.353455	−	0.204067i	0.312751	−	0.949835i	$-0.398749\pi$
$593$	−8.60718	−	4.96936i	−0.353455	−	0.204067i	−0.666206	+	0.745768i	$0.732083\pi$
$594$	13.0443	−	2.77265i	0.535213	−	0.113763i
$595$	4.73362	−	0.0843886i	0.194060	−	0.00345959i
$596$	1.67909	+	5.16772i	0.0687784	+	0.211678i
$597$	13.6974	−	4.45056i	0.560598	−	0.182149i
$598$	−1.61265	−	3.62207i	−0.0659461	−	0.148117i
$599$	−0.495791	+	0.858736i	−0.0202575	+	0.0350870i	−0.875976	−	0.482354i	$-0.839782\pi$
$599$	−0.495791	+	0.858736i	−0.0202575	+	0.0350870i	0.855719	+	0.517441i	$0.173115\pi$
$600$	2.23942	+	15.8486i	0.0914238	+	0.647018i
$601$	36.3837			1.48412			0.742061	−	0.670333i	$-0.233849\pi$
$601$	36.3837			1.48412			0.742061	+	0.670333i	$0.233849\pi$
$602$	−4.26276	−	9.57431i	−0.173737	−	0.390220i
$603$	−57.9373	−	52.1670i	−2.35939	−	2.12440i
$604$	−19.1427	−	4.06891i	−0.778906	−	0.165562i
$605$	−2.74379	−	22.2778i	−0.111551	−	0.905721i
$606$	16.7396	−	3.55810i	0.679998	−	0.144538i
$607$			48.7332i			1.97802i	0.147847	+	0.989010i	$0.452766\pi$
$607$			48.7332i			1.97802i	−0.147847	+	0.989010i	$0.547234\pi$
$608$	4.35520	+	0.179488i	0.176627	+	0.00727920i
$609$	43.4450	−	31.5646i	1.76048	−	1.27906i
$610$	12.5509	−	1.54580i	0.508173	−	0.0625878i
$611$	0.759583	−	7.22695i	0.0307295	−	0.292371i
$612$	−4.55124	+	0.478355i	−0.183973	+	0.0193364i
$613$	5.72065	−	12.8488i	0.231055	−	0.518958i	−0.760393	−	0.649464i	$-0.774994\pi$
$613$	5.72065	−	12.8488i	0.231055	−	0.518958i	0.991448	+	0.130506i	$0.0416602\pi$
$614$	8.60902	−	3.83298i	0.347432	−	0.154687i
$615$	13.0284	+	56.3364i	0.525355	+	2.27170i
$616$	2.66050	−	1.93297i	0.107195	−	0.0778814i
$617$	16.3148	−	14.6899i	0.656807	−	0.591392i	−0.271846	−	0.962341i	$-0.587634\pi$
$617$	16.3148	−	14.6899i	0.656807	−	0.591392i	0.928653	+	0.370949i	$0.120967\pi$
$618$	−34.3074	−	19.8074i	−1.38005	−	0.796771i
$619$	10.6590	−	32.8051i	0.428423	−	1.31855i	−0.471256	−	0.881997i	$-0.656199\pi$
$619$	10.6590	−	32.8051i	0.428423	−	1.31855i	0.899679	−	0.436553i	$-0.143801\pi$
$620$	13.8258	−	15.9167i	0.555257	−	0.639230i
$621$	−58.3791	−	12.4089i	−2.34267	−	0.497950i
$622$	−24.3486	−	21.9236i	−0.976292	−	0.879057i
$623$	−7.12358	−	15.9998i	−0.285400	−	0.641020i
$624$	1.44589	+	2.50435i	0.0578818	+	0.100254i
$625$	18.0093	+	17.3397i	0.720373	+	0.693586i
$626$	19.8148			0.791957
$627$	−8.73023	−	10.5380i	−0.348652	−	0.420849i
$628$	−18.0224	+	5.85582i	−0.719170	+	0.233673i
$629$	3.62777	−	4.02904i	0.144649	−	0.160649i
$630$	−53.3500	−	10.3496i	−2.12551	−	0.412337i
$631$	3.84540	+	4.27075i	0.153083	+	0.170016i	0.814808	−	0.579730i	$-0.196842\pi$
$631$	3.84540	+	4.27075i	0.153083	+	0.170016i	−0.661725	+	0.749746i	$0.730175\pi$
$632$	−2.01055	+	1.16079i	−0.0799753	+	0.0461738i
$633$	8.78415	−	7.90928i	0.349138	−	0.314366i
$634$	1.65052	−	1.19917i	0.0655504	−	0.0476251i
$635$	−7.09645	−	30.6860i	−0.281614	−	1.21774i
$636$	16.3626	−	7.28509i	0.648818	−	0.288872i
$637$	3.81304	−	0.400766i	0.151078	−	0.0158789i
$638$	−2.88376	−	3.96915i	−0.114169	−	0.157140i
$639$	−96.4760	−	70.0939i	−3.81653	−	2.77287i
$640$	−1.34636	−	1.78530i	−0.0532197	−	0.0705703i
$641$	−32.7187	−	14.5673i	−1.29231	−	0.575374i	−0.358629	−	0.933480i	$-0.616756\pi$
$641$	−32.7187	−	14.5673i	−1.29231	−	0.575374i	−0.933681	+	0.358107i	$0.883422\pi$
$642$	6.40580	−	5.76781i	0.252817	−	0.227637i
$643$	−17.4699	+	10.0862i	−0.688945	+	0.397762i	−0.803217	−	0.595687i	$-0.796880\pi$
$643$	−17.4699	+	10.0862i	−0.688945	+	0.397762i	0.114272	+	0.993450i	$0.463546\pi$
$644$	−14.3962	+	3.06000i	−0.567289	+	0.120581i
$645$	20.5971	+	8.73388i	0.811008	+	0.343896i
$646$	1.52467	+	2.29134i	0.0599875	+	0.0901517i
$647$	16.8388	−	5.47125i	0.662001	−	0.215097i	0.0413027	−	0.999147i	$-0.486849\pi$
$647$	16.8388	−	5.47125i	0.662001	−	0.215097i	0.620698	+	0.784050i	$0.286849\pi$
$648$	21.6676	+	2.27735i	0.851183	+	0.0894629i
$649$	−5.74341	−	9.94787i	−0.225448	−	0.390488i
$650$	4.18906	+	1.68886i	0.164308	+	0.0662426i
$651$	50.6057	+	87.6516i	1.98339	+	3.43534i
$652$	−6.03761	−	13.5607i	−0.236451	−	0.531078i
$653$	−31.3155	+	10.1750i	−1.22547	+	0.398179i	−0.849071	−	0.528278i	$-0.822838\pi$
$653$	−31.3155	+	10.1750i	−1.22547	+	0.398179i	−0.376399	+	0.926458i	$0.622838\pi$
$654$	16.0235	+	49.3152i	0.626568	+	1.92838i
$655$	9.01494	−	0.160714i	0.352243	−	0.00627960i
$656$	−5.40522	−	6.00311i	−0.211038	−	0.234382i
$657$			42.9261i			1.67471i
$658$	−25.6545	−	8.33566i	−1.00012	−	0.324958i
$659$	−2.11192	−	20.0936i	−0.0822689	−	0.782736i	−0.955413	−	0.295273i	$-0.904589\pi$
$659$	−2.11192	−	20.0936i	−0.0822689	−	0.782736i	0.873144	−	0.487463i	$-0.162077\pi$
$660$	−1.33692	+	6.89155i	−0.0520395	+	0.268253i
$661$	−5.72196	+	2.54758i	−0.222558	+	0.0990894i	−0.514987	−	0.857198i	$-0.672203\pi$
$661$	−5.72196	+	2.54758i	−0.222558	+	0.0990894i	0.292429	+	0.956287i	$0.405537\pi$
$662$	−9.38086	+	21.0698i	−0.364597	+	0.818899i
$663$	−0.742658	+	1.66804i	−0.0288425	+	0.0647812i
$664$	5.06935	+	3.68310i	0.196729	+	0.142932i
$665$	9.37083	+	31.3113i	0.363385	+	1.21420i
$666$	−50.3477	+	36.5798i	−1.95093	+	1.41744i
$667$	4.56516	+	21.4774i	0.176764	+	0.831609i
$668$	0.128777	−	0.0743496i	0.00498255	−	0.00287667i
$669$	−7.39228	−	8.20996i	−0.285802	−	0.317415i
$670$	21.7954	−	10.1733i	0.842030	−	0.393027i
$671$	5.42505	+	1.15313i	0.209432	+	0.0445161i
$672$	10.2091	−	3.31714i	0.393825	−	0.127961i
$673$	20.8431	−	28.6880i	0.803441	−	1.10584i	−0.188861	−	0.982004i	$-0.560480\pi$
$673$	20.8431	−	28.6880i	0.803441	−	1.10584i	0.992302	−	0.123838i	$-0.0395205\pi$
$674$	−0.299308	+	0.518418i	−0.0115289	+	0.0199687i
$675$	57.6321	−	36.0722i	2.21826	−	1.38842i
$676$	−12.1840			−0.468615
$677$	13.4963	−	18.5760i	0.518704	−	0.713935i	−0.466653	−	0.884441i	$-0.654540\pi$
$677$	13.4963	−	18.5760i	0.518704	−	0.713935i	0.985357	+	0.170506i	$0.0545402\pi$
$678$	−3.22047	+	15.1511i	−0.123682	+	0.581876i
$679$	−26.3216	+	29.2331i	−1.01013	+	1.12187i
$680$	0.412289	−	1.35034i	0.0158106	−	0.0517830i
$681$	−32.4998	+	6.90805i	−1.24540	+	0.264717i
$682$	8.00788	−	4.62335i	0.306638	−	0.177037i
$683$	26.6251	+	8.65103i	1.01878	+	0.331023i	0.770346	−	0.637626i	$-0.220083\pi$
$683$	26.6251	+	8.65103i	1.01878	+	0.331023i	0.248436	+	0.968648i	$0.420083\pi$
$684$	−11.6504	−	29.3657i	−0.445465	−	1.12282i
$685$	46.7690	+	4.07421i	1.78695	+	0.155668i
$686$	−0.965898	+	9.18991i	−0.0368782	+	0.350872i
$687$	3.04026	−	6.82853i	0.115993	−	0.260525i
$688$	−3.10832	+	0.326697i	−0.118503	+	0.0124552i
$689$	0.528313	−	5.02656i	0.0201271	−	0.191497i
$690$	18.0110	−	25.7427i	0.685665	−	0.980008i
$691$	22.9246	−	16.6557i	0.872093	−	0.633613i	−0.0590544	−	0.998255i	$-0.518809\pi$
$691$	22.9246	−	16.6557i	0.872093	−	0.633613i	0.931148	+	0.364642i	$0.118809\pi$
$692$	11.5787	+	3.76215i	0.440156	+	0.143015i
$693$	−20.6415	−	11.9174i	−0.784105	−	0.452703i
$694$	22.0052	+	24.4392i	0.835304	+	0.927699i
$695$	−8.21908	+	1.90075i	−0.311768	+	0.0720995i
$696$	−4.94878	−	15.2308i	−0.187583	−	0.577321i
$697$	1.06046	−	4.98905i	0.0401676	−	0.188974i
$698$	14.5105	+	1.52512i	0.549231	+	0.0577265i
$699$	−20.6460	+	35.7599i	−0.780902	+	1.35256i
$700$	9.36523	−	13.9068i	0.353972	−	0.525629i
$701$	−17.8319	−	30.8857i	−0.673500	−	1.16654i	−0.976905	−	0.213674i	$-0.931457\pi$
$701$	−17.8319	−	30.8857i	−0.673500	−	1.16654i	0.303405	−	0.952862i	$-0.401877\pi$
$702$	7.22013	−	9.93765i	0.272506	−	0.375072i
$703$	33.5361	+	16.6183i	1.26484	+	0.626770i
$704$	−0.303055	−	0.932708i	−0.0114218	−	0.0351527i
$705$	52.1785	−	24.3549i	1.96515	−	0.917257i
$706$	14.0389	−	2.98407i	0.528363	−	0.112307i
$707$	−15.5246	−	8.96316i	−0.583864	−	0.337094i
$708$	−7.79568	−	36.6758i	−0.292980	−	1.37836i
$709$	2.74435	+	26.1108i	0.103066	+	0.980611i	0.916793	+	0.399363i	$0.130769\pi$
$709$	2.74435	+	26.1108i	0.103066	+	0.980611i	−0.813726	+	0.581248i	$0.802565\pi$
$710$	31.5290	−	18.9605i	1.18326	−	0.711575i
$711$	13.6128	+	9.89025i	0.510518	+	0.370913i
$712$	−5.19437	+	0.545951i	−0.194667	+	0.0204604i
$713$	−41.1565	+	4.32573i	−1.54132	+	0.162000i
$714$	5.48340	+	3.98392i	0.205211	+	0.149095i
$715$	1.49553	+	1.29906i	0.0559295	+	0.0485823i
$716$	1.24579	+	11.8529i	0.0465573	+	0.442963i
$717$	3.26373	+	15.3546i	0.121886	+	0.573429i
$718$	19.7879	+	11.4246i	0.738480	+	0.426361i
$719$	9.93684	−	2.11214i	0.370582	−	0.0787696i	−0.0188564	−	0.999822i	$-0.506003\pi$
$719$	9.93684	−	2.11214i	0.370582	−	0.0787696i	0.389438	+	0.921053i	$0.372669\pi$
$720$	−7.85180	+	14.1775i	−0.292619	+	0.528363i
$721$	12.8231	+	39.4653i	0.477556	+	1.46977i
$722$	−12.3949	+	14.4002i	−0.461290	+	0.535922i
$723$	−48.4919	+	66.7433i	−1.80343	+	2.48221i
$724$	0.869776	+	1.50650i	0.0323250	+	0.0559885i
$725$	−20.7474	−	13.9718i	−0.770538	−	0.518900i
$726$	16.0672	−	27.8293i	0.596311	−	1.03284i
$727$	35.4939	+	3.73056i	1.31640	+	0.138359i	0.736559	−	0.676373i	$-0.236449\pi$
$727$	35.4939	+	3.73056i	1.31640	+	0.138359i	0.579838	+	0.814732i	$0.303116\pi$
$728$	0.629789	−	2.96292i	0.0233415	−	0.109813i
$729$	−8.44110	−	25.9790i	−0.312633	−	0.962186i
$730$	−12.1926	−	5.17009i	−0.451268	−	0.191354i
$731$	−1.32048	−	1.46654i	−0.0488398	−	0.0542421i
$732$	15.6785	+	9.05201i	0.579496	+	0.334572i
$733$	−47.3962	−	15.4000i	−1.75062	−	0.568811i	−0.754459	−	0.656347i	$-0.772101\pi$
$733$	−47.3962	−	15.4000i	−1.75062	−	0.568811i	−0.996161	+	0.0875363i	$0.972101\pi$
$734$	−12.0998	+	8.79102i	−0.446612	+	0.324482i
$735$	18.2930	+	24.2568i	0.674747	+	0.894726i
$736$	−0.458787	+	4.36507i	−0.0169111	+	0.160899i
$737$	10.4914	−	1.10269i	0.386456	−	0.0406181i
$738$	−23.8134	+	53.4857i	−0.876582	+	1.96884i
$739$	2.66092	−	25.3169i	0.0978834	−	0.931298i	−0.829833	−	0.558012i	$-0.811564\pi$
$739$	2.66092	−	25.3169i	0.0978834	−	0.931298i	0.927716	−	0.373286i	$-0.121769\pi$
$740$	−4.32604	−	18.7063i	−0.159028	−	0.687659i
$741$	−12.4710	−	1.83266i	−0.458134	−	0.0673243i
$742$	−17.8435	−	5.79769i	−0.655054	−	0.212840i
$743$	4.20381	−	2.42707i	0.154223	−	0.0890405i	−0.420903	−	0.907106i	$-0.638287\pi$
$743$	4.20381	−	2.42707i	0.154223	−	0.0890405i	0.575125	+	0.818065i	$0.304953\pi$
$744$	29.5234	−	6.27540i	1.08238	−	0.230067i
$745$	3.95994	+	11.4866i	0.145081	+	0.420837i
$746$	−19.3248	+	21.4624i	−0.707533	+	0.785795i
$747$	9.44231	−	44.4226i	0.345476	−	1.62534i
$748$	0.363973	−	0.500966i	0.0133082	−	0.0183171i
$749$	−9.02924			−0.329921
$750$	5.63837	+	35.3437i	0.205884	+	1.29057i
$751$	3.82400	−	6.62336i	0.139540	−	0.241690i	−0.787783	−	0.615953i	$-0.788771\pi$
$751$	3.82400	−	6.62336i	0.139540	−	0.241690i	0.927322	+	0.374263i	$0.122104\pi$
$752$	−4.72835	+	6.50802i	−0.172425	+	0.237323i
$753$	−52.5257	+	17.0666i	−1.91414	+	0.621942i
$754$	−4.42033	−	0.939571i	−0.160979	−	0.0342172i
$755$	−42.9598	−	8.33394i	−1.56347	−	0.303303i
$756$	−30.5108	−	33.8857i	−1.10967	−	1.23241i
$757$	10.9117	−	6.29987i	0.396592	−	0.228973i	−0.288420	−	0.957504i	$-0.593130\pi$
$757$	10.9117	−	6.29987i	0.396592	−	0.228973i	0.685013	+	0.728531i	$0.259797\pi$
$758$	2.01767	+	9.49238i	0.0732850	+	0.344779i
$759$	11.1478	−	8.09933i	0.404639	−	0.293987i
$760$	9.74413	+	0.227698i	0.353457	+	0.00825947i
$761$	38.0868	+	27.6717i	1.38065	+	1.00310i	0.996819	+	0.0796943i	$0.0253944\pi$
$761$	38.0868	+	27.6717i	1.38065	+	1.00310i	0.383828	+	0.923405i	$0.374606\pi$
$762$	18.3399	−	41.1921i	0.664384	−	1.49223i
$763$	22.0922	−	49.6199i	0.799792	−	1.79636i
$764$	14.4751	−	6.44473i	0.523691	−	0.233162i
$765$	−10.1562	+	1.25086i	−0.367199	+	0.0452251i
$766$	−1.75923	−	16.7380i	−0.0635635	−	0.604767i
$767$	−10.0627	−	3.26958i	−0.363345	−	0.118058i
$768$		−	3.20121i		−	0.115514i
$769$	21.5502	+	23.9339i	0.777119	+	0.863078i	0.993570	−	0.113216i	$-0.0361151\pi$
$769$	21.5502	+	23.9339i	0.777119	+	0.863078i	−0.216452	+	0.976293i	$0.569448\pi$
$770$	5.87107	−	4.42760i	0.211579	−	0.159560i
$771$	−7.84640	−	24.1487i	−0.282581	−	0.869695i
$772$	9.60377	−	3.12046i	0.345647	−	0.112308i
$773$	9.96896	+	22.3907i	0.358559	+	0.805336i	0.999294	+	0.0375740i	$0.0119630\pi$
$773$	9.96896	+	22.3907i	0.358559	+	0.805336i	−0.640735	+	0.767762i	$0.721370\pi$
$774$	11.3262	+	19.6176i	0.407113	+	0.705140i
$775$	30.2761	−	36.1362i	1.08755	−	1.29805i
$776$	5.86551	+	10.1594i	0.210560	+	0.364700i
$777$	91.6670	+	9.63459i	3.28853	+	0.345639i
$778$	24.9856	−	8.11832i	0.895778	−	0.291056i
$779$	35.1401	−	2.23548i	1.25902	−	0.0800944i
$780$	3.33241	+	5.54138i	0.119319	+	0.198413i
$781$	15.7834	−	3.35486i	0.564774	−	0.120046i
$782$	−2.40004	+	1.38566i	−0.0858252	+	0.0495512i
$783$	−50.5534	+	45.5185i	−1.80663	+	1.62670i
$784$	−3.87737	−	1.72632i	−0.138478	−	0.0616542i
$785$	−40.0594	+	13.8102i	−1.42978	+	0.492909i
$786$	10.4429	+	7.58718i	0.372484	+	0.270626i
$787$	20.6928	+	28.4812i	0.737619	+	1.01525i	0.998752	+	0.0499429i	$0.0159039\pi$
$787$	20.6928	+	28.4812i	0.737619	+	1.01525i	−0.261133	+	0.965303i	$0.584096\pi$
$788$	−13.8206	+	1.45260i	−0.492338	+	0.0517468i
$789$	−47.1750	+	21.0037i	−1.67948	+	0.747751i
$790$	−4.44874	+	2.67533i	−0.158279	+	0.0951839i
$791$	13.1265	−	9.53699i	0.466726	−	0.339096i
$792$	−5.28223	+	4.75614i	−0.187696	+	0.169002i
$793$	4.42426	−	2.55435i	0.157110	−	0.0907076i
$794$	8.37594	+	9.30242i	0.297251	+	0.330130i
$795$	36.2916	−	16.9395i	1.28713	−	0.600783i
$796$	−3.01043	+	3.34342i	−0.106702	+	0.118504i
$797$	−4.96564	+	1.61344i	−0.175892	+	0.0571508i	−0.395639	−	0.918406i	$-0.629477\pi$
$797$	−4.96564	+	1.61344i	−0.175892	+	0.0571508i	0.219747	+	0.975557i	$0.429477\pi$
$798$	−16.2792	+	43.8673i	−0.576278	+	1.55289i
$799$	−5.07928			−0.179692
$800$	−3.08124	−	3.93776i	−0.108938	−	0.139221i
$801$	18.9275	+	32.7834i	0.668771	+	1.15835i
$802$	−0.698876	−	1.56970i	−0.0246782	−	0.0554281i
$803$	−4.31647	−	3.88657i	−0.152325	−	0.137154i
$804$	33.6821	+	7.15935i	1.18788	+	0.252491i
$805$	−32.0638	+	7.41508i	−1.13010	+	0.261347i
$806$	2.63196	−	8.10035i	0.0927070	−	0.285323i
$807$	76.7580	+	44.3162i	2.70201	+	1.56001i
$808$	−3.97281	+	3.57714i	−0.139763	+	0.125843i
$809$	23.7249	−	17.2372i	0.834123	−	0.606026i	−0.0865995	−	0.996243i	$-0.527600\pi$
$809$	23.7249	−	17.2372i	0.834123	−	0.606026i	0.920723	+	0.390217i	$0.127600\pi$
$810$	48.5332	+	4.22790i	1.70528	+	0.148553i
$811$	−14.8433	+	6.60865i	−0.521217	+	0.232061i	−0.650444	−	0.759554i	$-0.725417\pi$
$811$	−14.8433	+	6.60865i	−0.521217	+	0.232061i	0.129227	+	0.991615i	$0.458751\pi$
$812$	−6.82308	+	15.3249i	−0.239443	+	0.537798i
$813$	−30.8422	+	3.24164i	−1.08168	+	0.113689i
$814$	0.880220	−	8.37473i	0.0308517	−	0.293534i
$815$	−14.0389	−	30.0772i	−0.491760	−	1.05356i
$816$	1.63525	−	1.18808i	0.0572451	−	0.0415910i
$817$	7.29178	−	11.5078i	0.255107	−	0.402606i
$818$			9.91239i			0.346579i
$819$	−21.4746	+	4.56457i	−0.750384	+	0.159499i
$820$	−12.3238	−	13.2058i	−0.430365	−	0.461166i
$821$	15.1493	+	3.22007i	0.528713	+	0.112381i	0.464531	−	0.885557i	$-0.346223\pi$
$821$	15.1493	+	3.22007i	0.528713	+	0.112381i	0.0641818	+	0.997938i	$0.479556\pi$
$822$	49.9463	+	44.9718i	1.74208	+	1.56857i
$823$	−19.5733	−	43.9624i	−0.682283	−	1.53243i	−0.838613	−	0.544728i	$-0.816633\pi$
$823$	−19.5733	−	43.9624i	−0.682283	−	1.53243i	0.156329	−	0.987705i	$-0.450034\pi$
$824$	12.3749			0.431101
$825$	−2.71429	+	15.4608i	−0.0944995	+	0.538276i
$826$	−19.6380	+	34.0140i	−0.683293	+	1.18350i
$827$	16.0645	+	36.0815i	0.558619	+	1.25468i	0.943396	+	0.331669i	$0.107612\pi$
$827$	16.0645	+	36.0815i	0.558619	+	1.25468i	−0.384777	+	0.923009i	$0.625722\pi$
$828$	30.2543	−	9.83023i	1.05141	−	0.341624i
$829$	9.61408	+	29.5891i	0.333911	+	1.02767i	0.967256	+	0.253802i	$0.0816812\pi$
$829$	9.61408	+	29.5891i	0.333911	+	1.02767i	−0.633345	+	0.773869i	$0.718319\pi$
$830$	11.4804	+	8.03230i	0.398491	+	0.278805i
$831$	50.3607	−	10.7045i	1.74699	−	0.371335i
$832$	−0.782313	−	0.451668i	−0.0271218	−	0.0156588i
$833$	−0.557182	−	2.62134i	−0.0193052	−	0.0908239i
$834$	−11.0331	−	4.91224i	−0.382044	−	0.170097i
$835$	0.284946	−	0.171357i	0.00986096	−	0.00593006i
$836$	4.00774	+	1.48728i	0.138610	+	0.0514385i
$837$	−75.3603	−	103.725i	−2.60483	−	3.58525i
$838$	−1.33127	+	2.99008i	−0.0459880	+	0.103291i
$839$	−4.53563	+	43.1536i	−0.156587	+	1.48983i	0.580627	+	0.814170i	$0.302807\pi$
$839$	−4.53563	+	43.1536i	−0.156587	+	1.48983i	−0.737214	+	0.675659i	$0.763859\pi$
$840$	22.6924	−	7.82307i	0.782962	−	0.269922i
$841$	−3.62989	−	1.61613i	−0.125169	−	0.0557286i
$842$	−27.8626	+	25.0876i	−0.960207	+	0.864574i
$843$		−	7.96477i		−	0.274321i
$844$	−1.14102	+	3.51170i	−0.0392756	+	0.120878i
$845$	−27.2399	+	0.485619i	−0.937081	+	0.0167058i
$846$	57.0296	+	12.1220i	1.96072	+	0.416763i
$847$	−32.0132	+	10.4017i	−1.09999	+	0.357407i
$848$	−3.28871	+	4.52652i	−0.112935	+	0.155441i
$849$	24.0172	−	41.5990i	0.824267	−	1.42767i
$850$	0.867940	−	3.03540i	0.0297701	−	0.104113i
$851$	−18.8436	+	32.6381i	−0.645950	+	1.11882i
$852$	52.3825	+	5.50562i	1.79459	+	0.188619i
$853$	−30.3034	−	27.2853i	−1.03757	−	0.934230i	−0.0396815	−	0.999212i	$-0.512634\pi$
$853$	−30.3034	−	27.2853i	−1.03757	−	0.934230i	−0.997886	+	0.0649820i	$0.979301\pi$
$854$	−5.86016	−	18.0357i	−0.200530	−	0.617169i
$855$	−27.2175	−	65.1888i	−0.930817	−	2.22941i
$856$	−0.832084	+	2.56089i	−0.0284401	+	0.0875295i
$857$	−3.81789	+	2.20426i	−0.130417	+	0.0752960i	−0.563789	−	0.825919i	$-0.690657\pi$
$857$	−3.81789	+	2.20426i	−0.130417	+	0.0752960i	0.433372	+	0.901215i	$0.357324\pi$
$858$	0.589634	+	2.77401i	0.0201298	+	0.0947032i
$859$	−3.05500	−	29.0664i	−0.104235	−	0.991733i	−0.914202	−	0.405258i	$-0.867182\pi$
$859$	−3.05500	−	29.0664i	−0.104235	−	0.991733i	0.809967	−	0.586475i	$-0.199485\pi$
$860$	−6.93628	+	0.854289i	−0.236525	+	0.0291310i
$861$	79.2162	−	35.2693i	2.69968	−	1.20198i
$862$	18.3517	+	25.2590i	0.625061	+	0.860323i
$863$	−8.18273	−	11.2626i	−0.278543	−	0.383382i	0.646707	−	0.762738i	$-0.276145\pi$
$863$	−8.18273	−	11.2626i	−0.278543	−	0.383382i	−0.925251	+	0.379356i	$0.876145\pi$
$864$	−12.4224	+	5.53082i	−0.422620	+	0.188162i
$865$	26.0366	+	7.94959i	0.885271	+	0.270294i
$866$	7.90584	−	5.74393i	0.268651	−	0.195187i
$867$	−50.5433	−	16.4225i	−1.71654	−	0.557738i
$868$	−27.3807	−	15.8083i	−0.929362	−	0.536568i
$869$	−2.22704	+	0.473371i	−0.0755471	+	0.0160580i
$870$	−11.6711	−	33.8544i	−0.395687	−	1.14777i
$871$	6.50190	−	7.22110i	0.220309	−	0.244678i
$872$	−12.0374	−	10.8385i	−0.407638	−	0.367039i
$873$	49.9757	−	68.7857i	1.69142	−	2.32804i
$874$	−13.6784	−	13.3762i	−0.462680	−	0.452456i
$875$	20.3837	−	31.4650i	0.689094	−	1.06371i
$876$	−9.47985	−	16.4196i	−0.320294	−	0.554766i
$877$	55.9914	+	5.88494i	1.89070	+	0.198720i	0.977810	−	0.209494i	$-0.0671815\pi$
$877$	55.9914	+	5.88494i	1.89070	+	0.198720i	0.912886	+	0.408214i	$0.133848\pi$
$878$	−3.28452	+	15.4525i	−0.110847	+	0.521495i
$879$	−15.1683	+	16.8461i	−0.511613	+	0.568204i
$880$	−0.714719	−	2.07319i	−0.0240932	−	0.0698871i
$881$	5.88235	−	18.1040i	0.198181	−	0.609940i	−0.801743	−	0.597669i	$-0.796094\pi$
$881$	5.88235	−	18.1040i	0.198181	−	0.609940i	0.999925	−	0.0122712i	$-0.00390615\pi$
$882$			30.7618i			1.03580i
$883$	6.27036	−	5.64586i	0.211014	−	0.189998i	−0.556845	−	0.830616i	$-0.687988\pi$
$883$	6.27036	−	5.64586i	0.211014	−	0.189998i	0.767860	+	0.640618i	$0.221322\pi$
$884$	−0.0596205	−	0.567251i	−0.00200525	−	0.0190787i
$885$	−18.8907	−	81.6858i	−0.635004	−	2.74584i
$886$	−0.815204	−	0.592280i	−0.0273873	−	0.0198980i
$887$	−8.18333	+	0.860103i	−0.274769	+	0.0288794i	−0.240911	−	0.970547i	$-0.577446\pi$
$887$	−8.18333	+	0.860103i	−0.274769	+	0.0288794i	−0.0338584	+	0.999427i	$0.510780\pi$
$888$	11.1801	−	25.1109i	0.375179	−	0.842667i
$889$	−43.1484	+	19.2109i	−1.44715	+	0.644314i
$890$	−11.5914	+	1.42762i	−0.388544	+	0.0478540i
$891$	19.5193	+	8.69057i	0.653923	+	0.291145i
$892$	3.28216	+	1.06644i	0.109895	+	0.0357070i
$893$	−9.45315	−	33.7662i	−0.316337	−	1.12994i
$894$	−5.37514	+	16.5430i	−0.179772	+	0.553280i
$895$	3.25765	+	26.4500i	0.108891	+	0.884126i
$896$	−2.24376	+	2.49195i	−0.0749589	+	0.0832503i
$897$	2.63888	−	12.4150i	0.0881097	−	0.414524i
$898$	−33.6867	−	3.54061i	−1.12414	−	0.118152i
$899$	−23.5841	+	40.8488i	−0.786573	+	1.36238i
$900$	−16.9893	+	32.0097i	−0.566310	+	1.06699i
$901$	−3.53279			−0.117694
$902$	−3.22222	−	7.23722i	−0.107288	−	0.240973i
$903$	6.97543	−	32.8168i	0.232128	−	1.09207i
$904$	−1.49523	−	4.60185i	−0.0497307	−	0.153055i
$905$	2.00461	+	3.33342i	0.0666356	+	0.110807i
$906$	−41.9203	−	46.5572i	−1.39271	−	1.54676i
$907$	−18.5306	+	10.6987i	−0.615300	+	0.355244i	−0.775037	−	0.631916i	$-0.782269\pi$
$907$	−18.5306	+	10.6987i	−0.615300	+	0.355244i	0.159737	+	0.987160i	$0.448935\pi$
$908$	7.71321	−	6.94501i	0.255972	−	0.230478i
$909$	35.3964	+	15.7595i	1.17403	+	0.522710i
$910$	1.28993	−	6.64935i	0.0427609	−	0.220424i
$911$	−17.7014	−	12.8608i	−0.586472	−	0.426097i	0.254579	−	0.967052i	$-0.418063\pi$
$911$	−17.7014	−	12.8608i	−0.586472	−	0.426097i	−0.841052	+	0.540955i	$0.818063\pi$
$912$	10.9415	+	8.65971i	0.362310	+	0.286752i
$913$	3.61204	+	4.97154i	0.119541	+	0.164534i
$914$	−3.47087	+	33.0231i	−0.114806	+	1.09231i
$915$	35.4135	+	19.6128i	1.17073	+	0.648379i
$916$	0.244071	+	2.32218i	0.00806435	+	0.0767271i
$917$	−2.81120	−	13.2257i	−0.0928341	−	0.436750i
$918$	−7.43564	−	4.29297i	−0.245413	−	0.141689i
$919$	0.859592	−	2.64555i	0.0283553	−	0.0872687i	−0.935877	−	0.352326i	$-0.885391\pi$
$919$	0.859592	−	2.64555i	0.0283553	−	0.0872687i	0.964233	+	0.265057i	$0.0853909\pi$
$920$	−0.851737	+	9.77732i	−0.0280809	+	0.322349i
$921$	29.5082	+	6.27216i	0.972328	+	0.206675i
$922$	1.23884	−	5.82827i	0.0407989	−	0.191944i
$923$	8.73625	−	12.0244i	0.287557	−	0.395789i
$924$	10.5274			0.346325
$925$	−10.4174	−	41.6496i	−0.342521	−	1.36943i
$926$	0.569512	+	0.986425i	0.0187153	+	0.0324159i
$927$	−36.4805	−	81.9366i	−1.19818	−	2.69115i
$928$	3.71770	+	3.34743i	0.122039	+	0.109885i
$929$	4.05817	−	4.50705i	0.133144	−	0.147872i	−0.672886	−	0.739747i	$-0.734945\pi$
$929$	4.05817	−	4.50705i	0.133144	−	0.147872i	0.806030	+	0.591875i	$0.201612\pi$
$930$	65.7558	−	15.2067i	2.15622	−	0.498648i
$931$	16.3892	−	8.58267i	0.537135	−	0.281286i
$932$		−	12.8988i		−	0.422515i
$933$	−21.8070	−	102.594i	−0.713928	−	3.35877i
$934$	−20.1203	−	8.95813i	−0.658356	−	0.293119i
$935$	0.793772	−	1.13452i	0.0259591	−	0.0371028i
$936$	−0.684367	+	6.51132i	−0.0223692	+	0.212829i
$937$	33.5162	−	3.52269i	1.09492	−	0.115081i	0.460197	−	0.887817i	$-0.347779\pi$
$937$	33.5162	−	3.52269i	1.09492	−	0.115081i	0.634728	+	0.772736i	$0.281112\pi$
$938$	−21.2014	−	29.1813i	−0.692251	−	0.952802i
$939$	51.3170	+	37.2840i	1.67467	+	1.21672i
$940$	−10.3118	+	14.7385i	−0.336335	+	0.480718i
$941$	−1.16336	−	11.0686i	−0.0379244	−	0.360826i	−0.996983	−	0.0776191i	$-0.975268\pi$
$941$	−1.16336	−	11.0686i	−0.0379244	−	0.360826i	0.959059	−	0.283207i	$-0.0913985\pi$
$942$	−57.6934	−	18.7457i	−1.87975	−	0.610769i
$943$			35.4551i			1.15458i
$944$	7.83738	+	8.70430i	0.255085	+	0.283301i
$945$	−69.5640	−	74.5426i	−2.26292	−	2.42487i
$946$	−2.99816	−	0.637278i	−0.0974785	−	0.0207197i
$947$	−7.29799	−	6.57114i	−0.237153	−	0.213533i	0.541981	−	0.840390i	$-0.317674\pi$
$947$	−7.29799	−	6.57114i	−0.237153	−	0.213533i	−0.779134	+	0.626857i	$0.784341\pi$
$948$	−7.39117	−	0.776843i	−0.240054	−	0.0252307i
$949$	−5.35015			−0.173673
$950$	21.7942	+	0.120694i	0.707096	+	0.00391583i
$951$	6.53096			0.211781
$952$	−2.10568	−	0.221316i	−0.0682454	−	0.00717288i
$953$	5.09367	+	4.58636i	0.165000	+	0.148567i	0.747495	−	0.664268i	$-0.231257\pi$
$953$	5.09367	+	4.58636i	0.165000	+	0.148567i	−0.582494	+	0.812835i	$0.697923\pi$
$954$	39.6658	+	8.43122i	1.28423	+	0.272971i
$955$	32.1053	−	14.9855i	1.03890	−	0.484920i
$956$	−3.28119	−	3.64413i	−0.106121	−	0.117860i
$957$		−	15.7056i		−	0.507690i
$958$	8.18703	+	2.66013i	0.264511	+	0.0859448i
$959$	−7.35895	−	70.0158i	−0.237633	−	2.26093i
$960$	−0.127591	−	7.15700i	−0.00411799	−	0.230991i
$961$	−46.8411	−	34.0320i	−1.51100	−	1.09781i
$962$	−4.55917	−	6.27516i	−0.146994	−	0.202319i
$963$	19.4090	−	2.03997i	0.625448	−	0.0657372i
$964$	2.69383	−	25.6301i	0.0867624	−	0.825489i
$965$	21.3469	−	7.35922i	0.687181	−	0.236902i
$966$	−43.0416	−	19.1633i	−1.38484	−	0.616570i
$967$	0.542368	+	2.55164i	0.0174414	+	0.0820552i	0.986007	−	0.166701i	$-0.0533115\pi$
$967$	0.542368	+	2.55164i	0.0174414	+	0.0820552i	−0.968566	+	0.248756i	$0.919978\pi$
$968$			10.0382i			0.322640i
$969$	−0.362795	+	8.80307i	−0.0116547	+	0.282795i
$970$	13.5185	+	22.4796i	0.434053	+	0.721777i
$971$	−13.3762	+	14.8558i	−0.429264	+	0.476745i	−0.918509	−	0.395401i	$-0.870606\pi$
$971$	−13.3762	+	14.8558i	−0.429264	+	0.476745i	0.489245	+	0.872146i	$0.337272\pi$
$972$	21.5144	+	19.3717i	0.690075	+	0.621346i
$973$	5.14555	+	11.5571i	0.164959	+	0.370503i
$974$	18.8549	+	32.6576i	0.604150	+	1.04642i
$975$	7.67117	+	12.2561i	0.245674	+	0.392510i
$976$	−5.65536			−0.181024
$977$	−21.8991	+	30.1415i	−0.700614	+	0.964312i	0.299334	+	0.954148i	$0.403235\pi$
$977$	−21.8991	+	30.1415i	−0.700614	+	0.964312i	−0.999948	+	0.0101640i	$0.996765\pi$
$978$	9.87974	−	46.4805i	0.315919	−	1.48628i
$979$	−5.01029	−	1.06497i	−0.160129	−	0.0340366i
$980$	−8.73749	−	3.70501i	−0.279109	−	0.118352i
$981$	−36.2783	+	111.653i	−1.15828	+	3.56481i
$982$	26.0774	+	15.0558i	0.832162	+	0.480449i
$983$	5.13327	+	24.1501i	0.163726	+	0.770270i	0.980998	+	0.194018i	$0.0621520\pi$
$983$	5.13327	+	24.1501i	0.163726	+	0.770270i	−0.817272	+	0.576252i	$0.804515\pi$
$984$	−2.70304	−	25.7177i	−0.0861697	−	0.819850i
$985$	−30.8409	+	3.79845i	−0.982674	+	0.121029i
$986$	−0.330177	+	3.14142i	−0.0105150	+	0.100043i
$987$	−50.7564	−	69.8602i	−1.61559	−	2.22368i
$988$	3.66003	−	1.45207i	0.116441	−	0.0461965i
$989$	11.0980	+	8.06317i	0.352896	+	0.256394i
$990$	−11.6200	+	10.8439i	−0.369307	+	0.344642i
$991$	22.0133	+	9.80094i	0.699275	+	0.311337i	0.725406	−	0.688321i	$-0.241652\pi$
$991$	22.0133	+	9.80094i	0.699275	+	0.311337i	−0.0261310	+	0.999659i	$0.508319\pi$
$992$	−7.00683	+	6.30897i	−0.222467	+	0.200310i
$993$	−63.9403	+	36.9160i	−2.02908	+	1.17149i
$994$	−36.9177	−	41.0012i	−1.17096	−	1.30048i
$995$	−6.59720	+	7.59492i	−0.209145	+	0.240775i
$996$	6.19857	+	19.0772i	0.196409	+	0.604486i
$997$	8.83100	−	41.5466i	0.279681	−	1.31579i	−0.584000	−	0.811754i	$-0.698513\pi$
$997$	8.83100	−	41.5466i	0.279681	−	1.31579i	0.863680	−	0.504040i	$-0.168154\pi$
$998$	−3.03210	−	6.81021i	−0.0959794	−	0.215573i
$999$	−116.760			−3.69412

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.x.a.159.1	✓	400
19.11	even	3	inner	950.2.x.a.809.26	yes	400
25.14	even	10	inner	950.2.x.a.539.26	yes	400
475.239	even	30	inner	950.2.x.a.239.1	yes	400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.x.a.159.1	✓	400	1.1	even	1	trivial
950.2.x.a.239.1	yes	400	475.239	even	30	inner
950.2.x.a.539.26	yes	400	25.14	even	10	inner
950.2.x.a.809.26	yes	400	19.11	even	3	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.x (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-2.37897 - 2.14203i) q^{3} +(0.978148 + 0.207912i) q^{4} +(2.19514 + 0.425845i) q^{5} +(2.14203 + 2.37897i) q^{6} -3.35325i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.757599 + 7.20807i) q^{9} +O(q^{10})\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-2.37897 - 2.14203i) q^{3} +(0.978148 + 0.207912i) q^{4} +(2.19514 + 0.425845i) q^{5} +(2.14203 + 2.37897i) q^{6} -3.35325i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.757599 + 7.20807i) q^{9} +(-2.13861 - 0.652967i) q^{10} +(-0.793409 - 0.576445i) q^{11} +(-1.88163 - 2.58984i) q^{12} +(-0.898388 + 0.0944244i) q^{13} +(-0.350510 + 3.33488i) q^{14} +(-4.31000 - 5.71514i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.131277 + 0.617612i) q^{17} -7.24778i q^{18} +(-3.86146 + 2.02216i) q^{19} +(2.05864 + 0.872935i) q^{20} +(-7.18277 + 7.97728i) q^{21} +(0.728807 + 0.656221i) q^{22} +(-1.78521 - 4.00965i) q^{23} +(1.60061 + 2.77233i) q^{24} +(4.63731 + 1.86958i) q^{25} +0.903337 q^{26} +(7.99273 - 11.0010i) q^{27} +(0.697181 - 3.27998i) q^{28} +(-4.89334 - 1.04011i) q^{29} +(3.68900 + 6.13435i) q^{30} +(2.91360 - 8.96714i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.652729 + 3.07085i) q^{33} +(-0.0660003 - 0.627951i) q^{34} +(1.42797 - 7.36087i) q^{35} +(-0.757599 + 7.20807i) q^{36} +(-5.04703 - 6.94664i) q^{37} +(4.05168 - 1.60745i) q^{38} +(2.33950 + 1.69974i) q^{39} +(-1.95611 - 1.08334i) q^{40} +(-7.37960 - 3.28561i) q^{41} +(7.97728 - 7.18277i) q^{42} +(-2.70671 + 1.56272i) q^{43} +(-0.656221 - 0.728807i) q^{44} +(-1.40648 + 16.1454i) q^{45} +(1.35631 + 4.17429i) q^{46} +(-1.67252 + 7.86857i) q^{47} +(-1.30205 - 2.92446i) q^{48} -4.24431 q^{49} +(-4.41648 - 2.34407i) q^{50} +(1.01064 - 1.75048i) q^{51} +(-0.898388 - 0.0944244i) q^{52} +(-1.16328 + 5.47282i) q^{53} +(-9.09887 + 10.1053i) q^{54} +(-1.49617 - 1.60325i) q^{55} +(-1.03621 + 3.18913i) q^{56} +(13.5178 + 3.46072i) q^{57} +(4.75781 + 1.54591i) q^{58} +(10.7002 + 4.76402i) q^{59} +(-3.02757 - 6.48635i) q^{60} +(-5.16643 + 2.30024i) q^{61} +(-3.83496 + 8.61347i) q^{62} +(24.1705 - 2.54042i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-2.01230 - 0.175299i) q^{65} +(-0.328162 - 3.12225i) q^{66} +(-7.99380 + 7.19765i) q^{67} +0.631410i q^{68} +(-4.34184 + 13.3628i) q^{69} +(-2.18956 + 7.17129i) q^{70} +(-11.0095 + 12.2273i) q^{71} +(1.50690 - 7.08939i) q^{72} +(5.89021 + 0.619086i) q^{73} +(4.29326 + 7.43615i) q^{74} +(-7.02731 - 14.3809i) q^{75} +(-4.19751 + 1.17513i) q^{76} +(-1.93297 + 2.66050i) q^{77} +(-2.14901 - 1.93498i) q^{78} +(1.55344 - 1.72527i) q^{79} +(1.83216 + 1.28187i) q^{80} +(-21.3108 + 4.52976i) q^{81} +(6.99573 + 4.03899i) q^{82} +(-5.95938 - 1.93632i) q^{83} +(-8.68438 + 6.30957i) q^{84} +(0.0251662 + 1.41165i) q^{85} +(2.85523 - 1.27123i) q^{86} +(9.41314 + 12.9561i) q^{87} +(0.576445 + 0.793409i) q^{88} +(4.77144 - 2.12438i) q^{89} +(3.08643 - 15.9099i) q^{90} +(0.316629 + 3.01252i) q^{91} +(-0.912548 - 4.29320i) q^{92} +(-26.1393 + 15.0915i) q^{93} +(2.48584 - 7.65064i) q^{94} +(-9.33758 + 2.79455i) q^{95} +(0.989230 + 3.04454i) q^{96} +(-8.71785 - 7.84958i) q^{97} +(4.22106 + 0.443651i) q^{98} +(3.55397 - 6.15566i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Introduction

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