LMFDB - Embedded newform 529.2.c.o.170.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [529,2,Mod(118,529)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(529, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([16]))

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

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

chi := DirichletCharacter("529.118");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, not 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:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$2$ over $\Q(\zeta_{11})$
Coefficient field:	20.0.54296067514572573056640625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - x^{19} + 2 x^{18} - 3 x^{17} + 5 x^{16} - 8 x^{15} + 13 x^{14} - 21 x^{13} + 34 x^{12} + \cdots + 1 $ x^20 - x^19 + 2x^18 - 3x^17 + 5x^16 - 8x^15 + 13x^14 - 21x^13 + 34x^12 - 55x^11 + 89x^10 + 55x^9 + 34x^8 + 21x^7 + 13x^6 + 8x^5 + 5x^4 + 3x^3 + 2*x^2 + x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			170.2
Root			$-0.672156 - 1.47182i$ of defining polynomial
Character	$\chi$	$=$	529.170
Dual form			529.2.c.o.501.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.55249 - 0.455853i) q^{2} +(-1.46431 - 1.68991i) q^{3} +(0.519923 - 0.334134i) q^{4} +(0.460540 + 3.20313i) q^{5} +(-3.04368 - 1.95606i) q^{6} +(-0.513481 + 1.12437i) q^{7} +(-1.46431 + 1.68991i) q^{8} +(-0.284630 + 1.97964i) q^{9} +O(q^{10})$	\(q+(1.55249 - 0.455853i) q^{2} +(-1.46431 - 1.68991i) q^{3} +(0.519923 - 0.334134i) q^{4} +(0.460540 + 3.20313i) q^{5} +(-3.04368 - 1.95606i) q^{6} +(-0.513481 + 1.12437i) q^{7} +(-1.46431 + 1.68991i) q^{8} +(-0.284630 + 1.97964i) q^{9} +(2.17514 + 4.76289i) q^{10} +(0.732987 + 0.215225i) q^{11} +(-1.32599 - 0.389345i) q^{12} +(1.24625 + 2.72890i) q^{13} +(-0.284630 + 1.97964i) q^{14} +(4.73862 - 5.46866i) q^{15} +(-2.01647 + 4.41545i) q^{16} +(4.40486 + 2.83083i) q^{17} +(0.460540 + 3.20313i) q^{18} +(-1.68251 + 1.08128i) q^{19} +(1.30972 + 1.51150i) q^{20} +(2.65197 - 0.778690i) q^{21} +1.23607 q^{22} +5.00000 q^{24} +(-5.25048 + 1.54168i) q^{25} +(3.17876 + 3.66849i) q^{26} +(-1.88110 + 1.20891i) q^{27} +(0.108719 + 0.756156i) q^{28} +(-2.52376 - 1.62192i) q^{29} +(4.86376 - 10.6502i) q^{30} +(4.39294 - 5.06972i) q^{31} +(-0.481304 + 3.34754i) q^{32} +(-0.709614 - 1.55384i) q^{33} +(8.12895 + 2.38688i) q^{34} +(-3.83797 - 1.12693i) q^{35} +(0.513481 + 1.12437i) q^{36} +(-0.460540 + 3.20313i) q^{37} +(-2.11917 + 2.44566i) q^{38} +(2.78669 - 6.10200i) q^{39} +(-6.08737 - 3.91211i) q^{40} +(-0.778766 - 5.41644i) q^{41} +(3.76220 - 2.41782i) q^{42} +(0.453011 - 0.133016i) q^{44} -6.47214 q^{45} +2.23607 q^{47} +(10.4144 - 3.05795i) q^{48} +(3.58349 + 4.13556i) q^{49} +(-7.44854 + 4.78689i) q^{50} +(-1.66625 - 11.5890i) q^{51} +(1.55977 + 1.00240i) q^{52} +(-3.51945 + 7.70653i) q^{53} +(-2.36931 + 2.73433i) q^{54} +(-0.351822 + 2.44697i) q^{55} +(-1.14818 - 2.51416i) q^{56} +(4.29098 + 1.25995i) q^{57} +(-4.65748 - 1.36756i) q^{58} +(-1.02696 - 2.24873i) q^{59} +(0.636451 - 4.42662i) q^{60} +(-7.16697 + 8.27113i) q^{61} +(4.50896 - 9.87324i) q^{62} +(-2.07969 - 1.33654i) q^{63} +(-0.602855 - 4.19295i) q^{64} +(-8.16706 + 5.24865i) q^{65} +(-1.80999 - 2.08884i) q^{66} +(6.94296 - 2.03864i) q^{67} +3.23607 q^{68} -6.47214 q^{70} +(-7.44944 + 2.18735i) q^{71} +(-2.92863 - 3.37981i) q^{72} +(13.0160 - 8.36487i) q^{73} +(0.745170 + 5.18277i) q^{74} +(10.2936 + 6.61532i) q^{75} +(-0.513481 + 1.12437i) q^{76} +(-0.618367 + 0.713633i) q^{77} +(1.54470 - 10.7436i) q^{78} +(2.88475 + 6.31673i) q^{79} +(-15.0719 - 4.42551i) q^{80} +(10.5544 + 3.09906i) q^{81} +(-3.67813 - 8.05397i) q^{82} +(1.88369 - 13.1013i) q^{83} +(1.11864 - 1.29097i) q^{84} +(-7.03890 + 15.4131i) q^{85} +(0.954677 + 6.63992i) q^{87} +(-1.43703 + 0.923525i) q^{88} +(1.00054 + 1.15468i) q^{89} +(-10.0479 + 2.95034i) q^{90} -3.70820 q^{91} -15.0000 q^{93} +(3.47148 - 1.01932i) q^{94} +(-4.23835 - 4.89131i) q^{95} +(6.36182 - 4.08849i) q^{96} +(-0.610786 - 4.24811i) q^{97} +(7.44854 + 4.78689i) q^{98} +(-0.634698 + 1.38979i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + q^{2} + q^{4} + 2 q^{5} + 5 q^{6} - 2 q^{7} - 4 q^{9}+O(q^{10}) $ 20 * q + q^2 + q^4 + 2 * q^5 + 5 * q^6 - 2 * q^7 - 4 * q^9	$ 20 q + q^{2} + q^{4} + 2 q^{5} + 5 q^{6} - 2 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{11} - 5 q^{12} - 6 q^{13} - 4 q^{14} + 10 q^{15} + 3 q^{16} - 6 q^{17} + 2 q^{18} + 4 q^{19} + 4 q^{20} + 10 q^{21} - 20 q^{22} + 100 q^{24} - 2 q^{25} + 3 q^{26} + 6 q^{28} + 6 q^{29} - 10 q^{30} - 9 q^{32} - 10 q^{33} + 8 q^{34} - 8 q^{35} + 2 q^{36} - 2 q^{37} - 2 q^{38} + 10 q^{40} - 2 q^{41} - 8 q^{44} - 40 q^{45} + 15 q^{48} + 2 q^{49} + 11 q^{50} - 10 q^{51} + 3 q^{52} + 8 q^{53} - 5 q^{54} + 4 q^{55} + 10 q^{56} - 3 q^{58} - 4 q^{59} - 4 q^{61} - 15 q^{62} - 4 q^{63} - 4 q^{64} + 6 q^{65} - 10 q^{66} + 10 q^{67} + 20 q^{68} - 40 q^{70} - 20 q^{71} - 22 q^{73} + 6 q^{74} - 20 q^{75} - 2 q^{76} + 16 q^{77} + 15 q^{78} + 4 q^{79} - 18 q^{80} + 22 q^{81} + 11 q^{82} + 22 q^{83} - 10 q^{84} + 16 q^{85} - 10 q^{88} + 12 q^{89} - 12 q^{90} + 60 q^{91} - 300 q^{93} + 5 q^{94} - 4 q^{95} + 5 q^{96} - 22 q^{97} - 11 q^{98} + 12 q^{99}+O(q^{100}) $ 20 * q + q^2 + q^4 + 2 * q^5 + 5 * q^6 - 2 * q^7 - 4 * q^9 - 6 * q^10 + 6 * q^11 - 5 * q^12 - 6 * q^13 - 4 * q^14 + 10 * q^15 + 3 * q^16 - 6 * q^17 + 2 * q^18 + 4 * q^19 + 4 * q^20 + 10 * q^21 - 20 * q^22 + 100 * q^24 - 2 * q^25 + 3 * q^26 + 6 * q^28 + 6 * q^29 - 10 * q^30 - 9 * q^32 - 10 * q^33 + 8 * q^34 - 8 * q^35 + 2 * q^36 - 2 * q^37 - 2 * q^38 + 10 * q^40 - 2 * q^41 - 8 * q^44 - 40 * q^45 + 15 * q^48 + 2 * q^49 + 11 * q^50 - 10 * q^51 + 3 * q^52 + 8 * q^53 - 5 * q^54 + 4 * q^55 + 10 * q^56 - 3 * q^58 - 4 * q^59 - 4 * q^61 - 15 * q^62 - 4 * q^63 - 4 * q^64 + 6 * q^65 - 10 * q^66 + 10 * q^67 + 20 * q^68 - 40 * q^70 - 20 * q^71 - 22 * q^73 + 6 * q^74 - 20 * q^75 - 2 * q^76 + 16 * q^77 + 15 * q^78 + 4 * q^79 - 18 * q^80 + 22 * q^81 + 11 * q^82 + 22 * q^83 - 10 * q^84 + 16 * q^85 - 10 * q^88 + 12 * q^89 - 12 * q^90 + 60 * q^91 - 300 * q^93 + 5 * q^94 - 4 * q^95 + 5 * q^96 - 22 * q^97 - 11 * q^98 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{5}{11}\right)$

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 $

$2$	1.55249	−	0.455853i	1.09778	−	0.322337i	0.317809	−	0.948155i	$-0.397053\pi$
$2$	1.55249	−	0.455853i	1.09778	−	0.322337i	0.779969	+	0.625818i	$0.215235\pi$
$3$	−1.46431	−	1.68991i	−0.845422	−	0.975669i	0.154502	−	0.987992i	$-0.450623\pi$
$3$	−1.46431	−	1.68991i	−0.845422	−	0.975669i	−0.999924	+	0.0123239i	$0.996077\pi$
$4$	0.519923	−	0.334134i	0.259962	−	0.167067i
$5$	0.460540	+	3.20313i	0.205960	+	1.43248i	0.786167	+	0.618014i	$0.212063\pi$
$5$	0.460540	+	3.20313i	0.205960	+	1.43248i	−0.580207	+	0.814469i	$0.697028\pi$
$6$	−3.04368	−	1.95606i	−1.24258	−	0.798557i
$7$	−0.513481	+	1.12437i	−0.194078	+	0.424971i	−0.981505	−	0.191437i	$-0.938685\pi$
$7$	−0.513481	+	1.12437i	−0.194078	+	0.424971i	0.787427	+	0.616408i	$0.211413\pi$
$8$	−1.46431	+	1.68991i	−0.517713	+	0.597472i
$9$	−0.284630	+	1.97964i	−0.0948766	+	0.659881i
$10$	2.17514	+	4.76289i	0.687840	+	1.50616i
$11$	0.732987	+	0.215225i	0.221004	+	0.0648926i	0.390360	−	0.920662i	$-0.372351\pi$
$11$	0.732987	+	0.215225i	0.221004	+	0.0648926i	−0.169356	+	0.985555i	$0.554169\pi$
$12$	−1.32599	−	0.389345i	−0.382779	−	0.112394i
$13$	1.24625	+	2.72890i	0.345646	+	0.756860i	1.00000		0.000670851i	$0.000213539\pi$
$13$	1.24625	+	2.72890i	0.345646	+	0.756860i	−0.654354	+	0.756189i	$0.727059\pi$
$14$	−0.284630	+	1.97964i	−0.0760705	+	0.529082i
$15$	4.73862	−	5.46866i	1.22351	−	1.41200i
$16$	−2.01647	+	4.41545i	−0.504117	+	1.10386i
$17$	4.40486	+	2.83083i	1.06834	+	0.686578i	0.951834	−	0.306613i	$-0.0991957\pi$
$17$	4.40486	+	2.83083i	1.06834	+	0.686578i	0.116501	+	0.993191i	$0.462832\pi$
$18$	0.460540	+	3.20313i	0.108550	+	0.754985i
$19$	−1.68251	+	1.08128i	−0.385994	+	0.248063i	−0.719218	−	0.694785i	$-0.755500\pi$
$19$	−1.68251	+	1.08128i	−0.385994	+	0.248063i	0.333224	+	0.942848i	$0.391863\pi$
$20$	1.30972	+	1.51150i	0.292863	+	0.337981i
$21$	2.65197	−	0.778690i	0.578708	−	0.169924i
$22$	1.23607			0.263531
$23$		0			0
$23$		0			0
$24$	5.00000			1.02062
$25$	−5.25048	+	1.54168i	−1.05010	+	0.308336i
$26$	3.17876	+	3.66849i	0.623406	+	0.719449i
$27$	−1.88110	+	1.20891i	−0.362018	+	0.232655i
$28$	0.108719	+	0.756156i	0.0205459	+	0.142900i
$29$	−2.52376	−	1.62192i	−0.468651	−	0.301183i	0.284919	−	0.958552i	$-0.408033\pi$
$29$	−2.52376	−	1.62192i	−0.468651	−	0.301183i	−0.753570	+	0.657368i	$0.771670\pi$
$30$	4.86376	−	10.6502i	0.887998	−	1.94444i
$31$	4.39294	−	5.06972i	0.788995	−	0.910549i	−0.208729	−	0.977973i	$-0.566933\pi$
$31$	4.39294	−	5.06972i	0.788995	−	0.910549i	0.997724	+	0.0674245i	$0.0214782\pi$
$32$	−0.481304	+	3.34754i	−0.0850833	+	0.591767i
$33$	−0.709614	−	1.55384i	−0.123528	−	0.270488i
$34$	8.12895	+	2.38688i	1.39410	+	0.409346i
$35$	−3.83797	−	1.12693i	−0.648736	−	0.190486i
$36$	0.513481	+	1.12437i	0.0855802	+	0.187394i
$37$	−0.460540	+	3.20313i	−0.0757124	+	0.526591i	0.916304	+	0.400483i	$0.131158\pi$
$37$	−0.460540	+	3.20313i	−0.0757124	+	0.526591i	−0.992017	+	0.126108i	$0.959751\pi$
$38$	−2.11917	+	2.44566i	−0.343775	+	0.396738i
$39$	2.78669	−	6.10200i	0.446227	−	0.977102i
$40$	−6.08737	−	3.91211i	−0.962497	−	0.618559i
$41$	−0.778766	−	5.41644i	−0.121623	−	0.845905i	−0.955718	−	0.294285i	$-0.904919\pi$
$41$	−0.778766	−	5.41644i	−0.121623	−	0.845905i	0.834095	−	0.551621i	$-0.185990\pi$
$42$	3.76220	−	2.41782i	0.580520	−	0.373078i
$43$		0			0		0.755750	−	0.654861i	$-0.227273\pi$
$43$		0			0		−0.755750	+	0.654861i	$0.772727\pi$
$44$	0.453011	−	0.133016i	0.0682940	−	0.0200529i
$45$	−6.47214			−0.964809
$46$		0			0
$47$	2.23607			0.326164			0.163082	−	0.986613i	$-0.447856\pi$
$47$	2.23607			0.326164			0.163082	+	0.986613i	$0.447856\pi$
$48$	10.4144	−	3.05795i	1.50319	−	0.441378i
$49$	3.58349	+	4.13556i	0.511927	+	0.590795i
$50$	−7.44854	+	4.78689i	−1.05338	+	0.676968i
$51$	−1.66625	−	11.5890i	−0.233322	−	1.62279i
$52$	1.55977	+	1.00240i	0.216301	+	0.139008i
$53$	−3.51945	+	7.70653i	−0.483434	+	1.05857i	0.498071	+	0.867136i	$0.334042\pi$
$53$	−3.51945	+	7.70653i	−0.483434	+	1.05857i	−0.981505	+	0.191437i	$0.938685\pi$
$54$	−2.36931	+	2.73433i	−0.322422	+	0.372095i
$55$	−0.351822	+	2.44697i	−0.0474396	+	0.329950i
$56$	−1.14818	−	2.51416i	−0.153432	−	0.335969i
$57$	4.29098	+	1.25995i	0.568355	+	0.166884i
$58$	−4.65748	−	1.36756i	−0.611557	−	0.179569i
$59$	−1.02696	−	2.24873i	−0.133699	−	0.292760i	0.830927	−	0.556381i	$-0.187811\pi$
$59$	−1.02696	−	2.24873i	−0.133699	−	0.292760i	−0.964626	+	0.263621i	$0.915083\pi$
$60$	0.636451	−	4.42662i	0.0821655	−	0.571474i
$61$	−7.16697	+	8.27113i	−0.917637	+	1.05901i	0.0804237	+	0.996761i	$0.474373\pi$
$61$	−7.16697	+	8.27113i	−0.917637	+	1.05901i	−0.998061	+	0.0622488i	$0.980173\pi$
$62$	4.50896	−	9.87324i	0.572638	−	1.25390i
$63$	−2.07969	−	1.33654i	−0.262017	−	0.168388i
$64$	−0.602855	−	4.19295i	−0.0753569	−	0.524119i
$65$	−8.16706	+	5.24865i	−1.01300	+	0.651015i
$66$	−1.80999	−	2.08884i	−0.222794	−	0.257118i
$67$	6.94296	−	2.03864i	0.848217	−	0.249059i	0.171392	−	0.985203i	$-0.445174\pi$
$67$	6.94296	−	2.03864i	0.848217	−	0.249059i	0.676825	+	0.736144i	$0.263355\pi$
$68$	3.23607			0.392431
$69$		0			0
$70$	−6.47214			−0.773568
$71$	−7.44944	+	2.18735i	−0.884086	+	0.259591i	−0.692096	−	0.721806i	$-0.743312\pi$
$71$	−7.44944	+	2.18735i	−0.884086	+	0.259591i	−0.191990	+	0.981397i	$0.561494\pi$
$72$	−2.92863	−	3.37981i	−0.345142	−	0.398315i
$73$	13.0160	−	8.36487i	1.52341	−	0.979034i	0.532213	−	0.846610i	$-0.321361\pi$
$73$	13.0160	−	8.36487i	1.52341	−	0.979034i	0.991193	−	0.132423i	$-0.0422758\pi$
$74$	0.745170	+	5.18277i	0.0866243	+	0.602485i
$75$	10.2936	+	6.61532i	1.18861	+	0.763871i
$76$	−0.513481	+	1.12437i	−0.0589003	+	0.128974i
$77$	−0.618367	+	0.713633i	−0.0704694	+	0.0813260i
$78$	1.54470	−	10.7436i	0.174903	−	1.21648i
$79$	2.88475	+	6.31673i	0.324560	+	0.710688i	0.999634	−	0.0270626i	$-0.00861536\pi$
$79$	2.88475	+	6.31673i	0.324560	+	0.710688i	−0.675073	+	0.737751i	$0.735888\pi$
$80$	−15.0719	−	4.42551i	−1.68509	−	0.494787i
$81$	10.5544	+	3.09906i	1.17271	+	0.344340i
$82$	−3.67813	−	8.05397i	−0.406181	−	0.889413i
$83$	1.88369	−	13.1013i	0.206762	−	1.43806i	−0.576871	−	0.816835i	$-0.695727\pi$
$83$	1.88369	−	13.1013i	0.206762	−	1.43806i	0.783633	−	0.621224i	$-0.213364\pi$
$84$	1.11864	−	1.29097i	0.122053	−	0.140857i
$85$	−7.03890	+	15.4131i	−0.763476	+	1.67178i
$86$		0			0
$87$	0.954677	+	6.63992i	0.102352	+	0.711875i
$88$	−1.43703	+	0.923525i	−0.153188	+	0.0984481i
$89$	1.00054	+	1.15468i	0.106057	+	0.122396i	0.806296	−	0.591512i	$-0.201469\pi$
$89$	1.00054	+	1.15468i	0.106057	+	0.122396i	−0.700239	+	0.713908i	$0.746923\pi$
$90$	−10.0479	+	2.95034i	−1.05915	+	0.310993i
$91$	−3.70820			−0.388725
$92$		0			0
$93$	−15.0000			−1.55543
$94$	3.47148	−	1.01932i	0.358056	−	0.105135i
$95$	−4.23835	−	4.89131i	−0.434845	−	0.501838i
$96$	6.36182	−	4.08849i	0.649300	−	0.417280i
$97$	−0.610786	−	4.24811i	−0.0620159	−	0.431330i	−0.997049	−	0.0767695i	$-0.975539\pi$
$97$	−0.610786	−	4.24811i	−0.0620159	−	0.431330i	0.935033	−	0.354561i	$-0.115370\pi$
$98$	7.44854	+	4.78689i	0.752417	+	0.483549i
$99$	−0.634698	+	1.38979i	−0.0637895	+	0.139680i
$100$	−2.21472	+	2.55592i	−0.221472	+	0.255592i
$101$	0.636451	−	4.42662i	0.0633293	−	0.440465i	−0.933345	−	0.358980i	$-0.883125\pi$
$101$	0.636451	−	4.42662i	0.0633293	−	0.440465i	0.996675	−	0.0814849i	$-0.0259662\pi$
$102$	−7.86973	−	17.2323i	−0.779220	−	1.70625i
$103$	−17.4439	−	5.12199i	−1.71880	−	0.504685i	−0.734114	−	0.679026i	$-0.762402\pi$
$103$	−17.4439	−	5.12199i	−1.71880	−	0.504685i	−0.984685	+	0.174341i	$0.944220\pi$
$104$	−6.43647	−	1.88992i	−0.631148	−	0.185322i
$105$	3.71558	+	8.13600i	0.362604	+	0.793992i
$106$	−1.95088	+	13.5687i	−0.189486	+	1.31791i
$107$	8.78588	−	10.1394i	0.849363	−	0.980217i	−0.150602	−	0.988594i	$-0.548121\pi$
$107$	8.78588	−	10.1394i	0.849363	−	0.980217i	0.999965	+	0.00837738i	$0.00266663\pi$
$108$	−0.574089	+	1.25708i	−0.0552418	+	0.120963i
$109$		0			0		0.540641	−	0.841254i	$-0.318182\pi$
$109$		0			0		−0.540641	+	0.841254i	$0.681818\pi$
$110$	0.569259	+	3.95929i	0.0542767	+	0.377503i
$111$	6.08737	−	3.91211i	0.577787	−	0.371321i
$112$	−3.92916	−	4.53450i	−0.371271	−	0.428470i
$113$	−12.6999	+	3.72903i	−1.19471	+	0.350798i	−0.817827	−	0.575464i	$-0.804821\pi$
$113$	−12.6999	+	3.72903i	−1.19471	+	0.350798i	−0.376880	+	0.926262i	$0.623003\pi$
$114$	7.23607			0.677720
$115$		0			0
$116$	−1.85410			−0.172149
$117$	−5.75696	+	1.69040i	−0.532231	+	0.156277i
$118$	−2.61944	−	3.02300i	−0.241139	−	0.278290i
$119$	−5.44471	+	3.49910i	−0.499115	+	0.320762i
$120$	2.30270	+	16.0156i	0.210207	+	1.46202i
$121$	−8.76284	−	5.63154i	−0.796622	−	0.511958i
$122$	−7.35625	+	16.1079i	−0.666004	+	1.45835i
$123$	−8.01292	+	9.24740i	−0.722501	+	0.833810i
$124$	0.590023	−	4.10370i	0.0529856	−	0.368523i
$125$	−0.634698	−	1.38979i	−0.0567691	−	0.124307i
$126$	−3.83797	−	1.12693i	−0.341914	−	0.100395i
$127$	19.8694	+	5.83418i	1.76312	+	0.517699i	0.992782	−	0.119934i	$-0.0382682\pi$
$127$	19.8694	+	5.83418i	1.76312	+	0.517699i	0.770340	+	0.637633i	$0.220086\pi$
$128$	−5.65714	−	12.3874i	−0.500025	−	1.09490i
$129$		0			0
$130$	−10.2867	+	11.8715i	−0.902202	+	1.04120i
$131$	2.19829	−	4.81359i	0.192066	−	0.420565i	−0.788960	−	0.614445i	$-0.789380\pi$
$131$	2.19829	−	4.81359i	0.192066	−	0.420565i	0.981025	+	0.193880i	$0.0621072\pi$
$132$	−0.888135	−	0.570770i	−0.0773022	−	0.0496791i
$133$	−0.351822	−	2.44697i	−0.0305068	−	0.212179i
$134$	9.84957	−	6.32993i	0.850873	−	0.546823i
$135$	−4.73862	−	5.46866i	−0.407835	−	0.470667i
$136$	−11.2339	+	3.29858i	−0.963302	+	0.282851i
$137$	13.8885			1.18658			0.593289	−	0.804989i	$-0.297829\pi$
$137$	13.8885			1.18658			0.593289	+	0.804989i	$0.297829\pi$
$138$		0			0
$139$	2.70820			0.229707			0.114853	−	0.993382i	$-0.463360\pi$
$139$	2.70820			0.229707			0.114853	+	0.993382i	$0.463360\pi$
$140$	−2.37200	+	0.696481i	−0.200470	+	0.0588634i
$141$	−3.27430	−	3.77875i	−0.275746	−	0.318228i
$142$	−10.5681	+	6.79170i	−0.886854	+	0.569946i
$143$	0.326157	+	2.26847i	0.0272746	+	0.189699i
$144$	−8.16706	−	5.24865i	−0.680588	−	0.437388i
$145$	4.03293	−	8.83089i	0.334917	−	0.733366i
$146$	16.3941	−	18.9198i	1.35678	−	1.56581i
$147$	1.74137	−	12.1115i	0.143626	−	0.998942i
$148$	0.830830	+	1.81926i	0.0682938	+	0.149543i
$149$	11.4070	+	3.34939i	0.934496	+	0.274393i	0.713318	−	0.700841i	$-0.247192\pi$
$149$	11.4070	+	3.34939i	0.934496	+	0.274393i	0.221178	+	0.975233i	$0.429010\pi$
$150$	18.9964	+	5.57785i	1.55105	+	0.455429i
$151$	−0.0980662	−	0.214735i	−0.00798051	−	0.0174749i	0.905600	−	0.424133i	$-0.139421\pi$
$151$	−0.0980662	−	0.214735i	−0.00798051	−	0.0174749i	−0.913580	+	0.406658i	$0.866694\pi$
$152$	0.636451	−	4.42662i	0.0516230	−	0.359046i
$153$	−6.85779	+	7.91431i	−0.554420	+	0.639834i
$154$	−0.634698	+	1.38979i	−0.0511454	+	0.111993i
$155$	18.2621	+	11.7363i	1.46685	+	0.942686i
$156$	−0.590023	−	4.10370i	−0.0472396	−	0.328559i
$157$	12.9691	−	8.33474i	1.03505	−	0.665185i	0.0912904	−	0.995824i	$-0.470901\pi$
$157$	12.9691	−	8.33474i	1.03505	−	0.665185i	0.943757	+	0.330640i	$0.107264\pi$
$158$	7.35806	+	8.49165i	0.585376	+	0.675560i
$159$	18.1769	−	5.33722i	1.44152	−	0.423269i
$160$	−10.9443			−0.865221
$161$		0			0
$162$	17.7984			1.39837
$163$	9.82144	−	2.88383i	0.769274	−	0.225879i	0.126533	−	0.991962i	$-0.459615\pi$
$163$	9.82144	−	2.88383i	0.769274	−	0.225879i	0.642741	+	0.766083i	$0.277797\pi$
$164$	−2.21472	−	2.55592i	−0.172940	−	0.199584i
$165$	4.65034	−	2.98859i	0.362028	−	0.232661i
$166$	−3.04787	−	21.1984i	−0.236561	−	1.64532i
$167$	8.80972	+	5.66166i	0.681717	+	0.438113i	0.835132	−	0.550049i	$-0.185391\pi$
$167$	8.80972	+	5.66166i	0.681717	+	0.438113i	−0.153416	+	0.988162i	$0.549027\pi$
$168$	−2.56741	+	5.62183i	−0.198080	+	0.433734i
$169$	2.61944	−	3.02300i	0.201496	−	0.232538i
$170$	−3.90176	+	27.1373i	−0.299251	+	2.08134i
$171$	−1.66166	−	3.63853i	−0.127070	−	0.278245i
$172$		0			0
$173$	−4.85094	−	1.42436i	−0.368810	−	0.108292i	0.0920755	−	0.995752i	$-0.470650\pi$
$173$	−4.85094	−	1.42436i	−0.368810	−	0.108292i	−0.460885	+	0.887460i	$0.652468\pi$
$174$	4.50896	+	9.87324i	0.341823	+	0.748488i
$175$	0.962608	−	6.69508i	0.0727663	−	0.506101i
$176$	−2.42836	+	2.80247i	−0.183044	+	0.211244i
$177$	−2.29636	+	5.02832i	−0.172605	+	0.377952i
$178$	2.07969	+	1.33654i	0.155880	+	0.100178i
$179$	1.80857	+	12.5789i	0.135179	+	0.940188i	0.938657	+	0.344853i	$0.112071\pi$
$179$	1.80857	+	12.5789i	0.135179	+	0.940188i	−0.803478	+	0.595334i	$0.797020\pi$
$180$	−3.36501	+	2.16256i	−0.250813	+	0.161188i
$181$	9.59533	+	11.0736i	0.713215	+	0.823094i	0.990474	−	0.137701i	$-0.0439713\pi$
$181$	9.59533	+	11.0736i	0.713215	+	0.823094i	−0.277259	+	0.960795i	$0.589426\pi$
$182$	−5.75696	+	1.69040i	−0.426734	+	0.125300i
$183$	24.4721			1.80903
$184$		0			0
$185$	−10.4721			−0.769927
$186$	−23.2874	+	6.83779i	−1.70751	+	0.501371i
$187$	2.61944	+	3.02300i	0.191553	+	0.221064i
$188$	1.16258	−	0.747147i	0.0847901	−	0.0544913i
$189$	−0.393349	−	2.73580i	−0.0286119	−	0.199000i
$190$	−8.80972	−	5.66166i	−0.639124	−	0.410740i
$191$	−1.58674	+	3.47449i	−0.114813	+	0.251405i	−0.958311	−	0.285727i	$-0.907765\pi$
$191$	−1.58674	+	3.47449i	−0.114813	+	0.251405i	0.843498	+	0.537132i	$0.180492\pi$
$192$	−6.20293	+	7.15856i	−0.447658	+	0.516625i
$193$	1.13059	−	7.86341i	0.0813815	−	0.566021i	−0.907809	−	0.419384i	$-0.862246\pi$
$193$	1.13059	−	7.86341i	0.0813815	−	0.566021i	0.989190	−	0.146637i	$-0.0468448\pi$
$194$	−2.88475	−	6.31673i	−0.207113	−	0.453515i
$195$	20.8289	+	6.11591i	1.49159	+	0.437969i
$196$	3.24497	+	0.952810i	0.231784	+	0.0680579i
$197$	3.10404	+	6.79689i	0.221154	+	0.484259i	0.987391	−	0.158298i	$-0.0506008\pi$
$197$	3.10404	+	6.79689i	0.221154	+	0.484259i	−0.766238	+	0.642557i	$0.777874\pi$
$198$	−0.351822	+	2.44697i	−0.0250029	+	0.173899i
$199$	16.8353	−	19.4290i	1.19342	−	1.37728i	0.285375	−	0.958416i	$-0.407882\pi$
$199$	16.8353	−	19.4290i	1.19342	−	1.37728i	0.908048	−	0.418867i	$-0.137573\pi$
$200$	5.08305	−	11.1303i	0.359426	−	0.787032i
$201$	−13.6118	−	8.74775i	−0.960100	−	0.617019i
$202$	−1.02980	−	7.16242i	−0.0724565	−	0.503946i
$203$	3.11954	−	2.00481i	0.218949	−	0.140710i
$204$	−4.73862	−	5.46866i	−0.331770	−	0.382882i
$205$	16.9909	−	4.98898i	1.18670	−	0.348445i
$206$	−29.4164			−2.04954
$207$		0			0
$208$	−14.5623			−1.00971
$209$	−1.46597	+	0.430449i	−0.101404	+	0.0297748i
$210$	9.47723	+	10.9373i	0.653991	+	0.754746i
$211$	2.87407	−	1.84705i	0.197859	−	0.127156i	−0.437960	−	0.898994i	$-0.644299\pi$
$211$	2.87407	−	1.84705i	0.197859	−	0.127156i	0.635819	+	0.771838i	$0.280663\pi$
$212$	0.745170	+	5.18277i	0.0511785	+	0.355954i
$213$	14.6047	+	9.38589i	1.00070	+	0.643111i
$214$	9.01791	−	19.7465i	0.616452	−	1.34984i
$215$		0			0
$216$	0.711574	−	4.94911i	0.0484165	−	0.336744i
$217$	3.44454	+	7.54248i	0.233830	+	0.512017i
$218$		0			0
$219$	−33.1953	−	9.74703i	−2.24313	−	0.658643i
$220$	0.634698	+	1.38979i	0.0427913	+	0.0936999i
$221$	−2.23551	+	15.5483i	−0.150377	+	1.04589i
$222$	7.66724	−	8.84847i	0.514592	−	0.593870i
$223$	1.66166	−	3.63853i	0.111273	−	0.243654i	−0.845800	−	0.533499i	$-0.820877\pi$
$223$	1.66166	−	3.63853i	0.111273	−	0.243654i	0.957073	+	0.289846i	$0.0936039\pi$
$224$	−3.51673	−	2.26006i	−0.234971	−	0.151007i
$225$	−1.55753	−	10.8329i	−0.103835	−	0.722192i
$226$	−18.0166	+	11.5786i	−1.19845	+	0.770196i
$227$	−6.66670	−	7.69379i	−0.442485	−	0.510655i	0.490070	−	0.871683i	$-0.336971\pi$
$227$	−6.66670	−	7.69379i	−0.442485	−	0.510655i	−0.932555	+	0.361028i	$0.882426\pi$
$228$	2.65197	−	0.778690i	0.175631	−	0.0515700i
$229$	−12.0000			−0.792982			−0.396491	−	0.918039i	$-0.629772\pi$
$229$	−12.0000			−0.792982			−0.396491	+	0.918039i	$0.629772\pi$
$230$		0			0
$231$	2.11146			0.138924
$232$	6.43647	−	1.88992i	0.422575	−	0.124079i
$233$	10.1321	+	11.6931i	0.663776	+	0.766038i	0.983389	−	0.181510i	$-0.0580985\pi$
$233$	10.1321	+	11.6931i	0.663776	+	0.766038i	−0.319614	+	0.947548i	$0.603553\pi$
$234$	−8.16706	+	5.24865i	−0.533897	+	0.343115i
$235$	1.02980	+	7.16242i	0.0671767	+	0.467224i
$236$	−1.28532	−	0.826026i	−0.0836673	−	0.0537697i
$237$	6.45051	−	14.1246i	0.419006	−	0.917494i
$238$	−6.85779	+	7.91431i	−0.444525	+	0.513009i
$239$	−2.59526	+	18.0505i	−0.167874	+	1.16759i	0.715395	+	0.698720i	$0.246247\pi$
$239$	−2.59526	+	18.0505i	−0.167874	+	1.16759i	−0.883269	+	0.468867i	$0.844662\pi$
$240$	14.5913	+	31.9505i	0.941864	+	2.06239i
$241$	−16.4309	−	4.82456i	−1.05841	−	0.310777i	−0.294200	−	0.955744i	$-0.595053\pi$
$241$	−16.4309	−	4.82456i	−1.05841	−	0.310777i	−0.764211	+	0.644967i	$0.776871\pi$
$242$	−16.1714	−	4.74835i	−1.03954	−	0.305235i
$243$	−7.43117	−	16.2720i	−0.476710	−	1.04385i
$244$	−0.962608	+	6.69508i	−0.0616247	+	0.428609i
$245$	−11.5964	+	13.3830i	−0.740867	+	0.855006i
$246$	−8.22454	+	18.0092i	−0.524378	+	1.14823i
$247$	−5.04752	−	3.24384i	−0.321166	−	0.206401i
$248$	2.13472	+	14.8473i	0.135555	+	0.942806i
$249$	−24.8984	+	16.0012i	−1.57787	+	1.01404i
$250$	−1.61890	−	1.86832i	−0.102389	−	0.118163i
$251$	−15.0719	+	4.42551i	−0.951331	+	0.279336i	−0.720341	−	0.693620i	$-0.756015\pi$
$251$	−15.0719	+	4.42551i	−0.951331	+	0.279336i	−0.230990	+	0.972956i	$0.574196\pi$
$252$	−1.52786			−0.0962464
$253$		0			0
$254$	33.5066			2.10239
$255$	36.3538	−	10.6744i	2.27656	−	0.668459i
$256$	−8.88142	−	10.2497i	−0.555089	−	0.640607i
$257$	1.23844	−	0.795897i	0.0772517	−	0.0496467i	−0.501445	−	0.865190i	$-0.667198\pi$
$257$	1.23844	−	0.795897i	0.0772517	−	0.0496467i	0.578697	+	0.815543i	$0.303562\pi$
$258$		0			0
$259$	−3.36501	−	2.16256i	−0.209092	−	0.134375i
$260$	−2.49249	+	5.45779i	−0.154578	+	0.338478i
$261$	3.92916	−	4.53450i	0.243209	−	0.280678i
$262$	1.21854	−	8.47515i	0.0752818	−	0.523597i
$263$	−6.20807	−	13.5938i	−0.382806	−	0.838229i	−0.998728	−	0.0504215i	$-0.983944\pi$
$263$	−6.20807	−	13.5938i	−0.382806	−	0.838229i	0.615922	−	0.787807i	$-0.288784\pi$
$264$	3.66494	+	1.07612i	0.225561	+	0.0662308i
$265$	−26.3059	−	7.72409i	−1.61596	−	0.474487i
$266$	−1.66166	−	3.63853i	−0.101883	−	0.223092i
$267$	0.486206	−	3.38163i	0.0297553	−	0.206953i
$268$	2.92863	−	3.37981i	0.178894	−	0.206455i
$269$	4.13100	−	9.04563i	0.251872	−	0.551522i	−0.740890	−	0.671627i	$-0.765596\pi$
$269$	4.13100	−	9.04563i	0.251872	−	0.551522i	0.992761	+	0.120105i	$0.0383231\pi$
$270$	−9.84957	−	6.32993i	−0.599426	−	0.385227i
$271$	−1.13852	−	7.91857i	−0.0691601	−	0.481019i	−0.994737	−	0.102460i	$-0.967329\pi$
$271$	−1.13852	−	7.91857i	−0.0691601	−	0.481019i	0.925577	−	0.378559i	$-0.123580\pi$
$272$	−21.3816	+	13.7411i	−1.29645	+	0.833179i
$273$	5.42997	+	6.26652i	0.328637	+	0.379267i
$274$	21.5619	−	6.33113i	1.30260	−	0.382478i
$275$	−4.18034			−0.252084
$276$		0			0
$277$	6.52786			0.392221			0.196111	−	0.980582i	$-0.437169\pi$
$277$	6.52786			0.392221			0.196111	+	0.980582i	$0.437169\pi$
$278$	4.20447	−	1.23454i	0.252167	−	0.0740429i
$279$	8.78588	+	10.1394i	0.525997	+	0.607033i
$280$	7.52440	−	4.83564i	0.449669	−	0.288985i
$281$	1.88369	+	13.1013i	0.112371	+	0.781561i	0.965602	+	0.260026i	$0.0837312\pi$
$281$	1.88369	+	13.1013i	0.112371	+	0.781561i	−0.853230	+	0.521535i	$0.825360\pi$
$282$	−6.80588	−	4.37388i	−0.405284	−	0.260461i
$283$	5.93703	−	13.0003i	0.352920	−	0.772786i	−0.647027	−	0.762467i	$-0.723988\pi$
$283$	5.93703	−	13.0003i	0.352920	−	0.772786i	0.999947	−	0.0103192i	$-0.00328475\pi$
$284$	−3.14227	+	3.62637i	−0.186459	+	0.215185i
$285$	−2.05960	+	14.3248i	−0.122000	+	0.848530i
$286$	1.54044	+	3.37310i	0.0910883	+	0.199456i
$287$	6.48995	+	1.90562i	0.383089	+	0.112485i
$288$	−6.48995	−	1.90562i	−0.382424	−	0.112290i
$289$	4.32713	+	9.47510i	0.254537	+	0.557359i
$290$	2.23551	−	15.5483i	0.131274	−	0.913029i
$291$	−6.28453	+	7.25274i	−0.368406	+	0.425163i
$292$	3.97233	−	8.69818i	0.232463	−	0.509022i
$293$	−8.80972	−	5.66166i	−0.514669	−	0.330758i	0.257391	−	0.966307i	$-0.417137\pi$
$293$	−8.80972	−	5.66166i	−0.514669	−	0.330758i	−0.772060	+	0.635549i	$0.780774\pi$
$294$	−2.81760	−	19.5969i	−0.164326	−	1.14291i
$295$	6.73003	−	4.32513i	0.391837	−	0.251819i
$296$	−4.73862	−	5.46866i	−0.275427	−	0.317859i
$297$	−1.63901	+	0.481257i	−0.0951050	+	0.0279253i
$298$	19.2361			1.11432
$299$		0			0
$300$	7.56231			0.436610
$301$		0			0
$302$	−0.250135	−	0.288671i	−0.0143936	−	0.0166111i
$303$	−8.41254	+	5.40641i	−0.483288	+	0.310590i
$304$	−1.38162	−	9.60939i	−0.0792414	−	0.551136i
$305$	−29.7942	−	19.1476i	−1.70601	−	1.09639i
$306$	−7.03890	+	15.4131i	−0.402387	+	0.881106i
$307$	−12.0967	+	13.9603i	−0.690394	+	0.796757i	−0.987421	−	0.158112i	$-0.949459\pi$
$307$	−12.0967	+	13.9603i	−0.690394	+	0.796757i	0.297027	+	0.954869i	$0.404005\pi$
$308$	−0.0830538	+	0.577652i	−0.00473243	+	0.0329148i
$309$	16.8876	+	36.9788i	0.960705	+	2.10365i
$310$	33.7018	+	9.89575i	1.91413	+	0.562041i
$311$	8.80847	+	2.58640i	0.499483	+	0.146661i	0.521763	−	0.853090i	$-0.325275\pi$
$311$	8.80847	+	2.58640i	0.499483	+	0.146661i	−0.0222805	+	0.999752i	$0.507093\pi$
$312$	6.23123	+	13.6445i	0.352774	+	0.772467i
$313$	2.89763	−	20.1534i	0.163784	−	1.13914i	−0.727637	−	0.685962i	$-0.759381\pi$
$313$	2.89763	−	20.1534i	0.163784	−	1.13914i	0.891420	−	0.453177i	$-0.149710\pi$
$314$	16.3350	−	18.8516i	0.921839	−	1.06386i
$315$	3.32332	−	7.27706i	0.187248	−	0.410016i
$316$	3.61049	+	2.32032i	0.203106	+	0.130528i
$317$	0.201576	+	1.40199i	0.0113216	+	0.0787437i	0.994699	−	0.102830i	$-0.0327899\pi$
$317$	0.201576	+	1.40199i	0.0113216	+	0.0787437i	−0.983377	+	0.181574i	$0.941881\pi$
$318$	25.7865	−	16.5720i	1.44604	−	0.929310i
$319$	−1.50081	−	1.73202i	−0.0840291	−	0.0969747i
$320$	13.1529	−	3.86205i	0.735271	−	0.215895i
$321$	−30.0000			−1.67444
$322$		0			0
$323$	−10.4721			−0.582685
$324$	6.52299	−	1.91532i	0.362388	−	0.106407i
$325$	−10.7505	−	12.4067i	−0.596328	−	0.688200i
$326$	13.9331	−	8.95426i	0.771683	−	0.495931i
$327$		0			0
$328$	10.2936	+	6.61532i	0.568371	+	0.365270i
$329$	−1.14818	+	2.51416i	−0.0633011	+	0.138610i
$330$	5.85725	−	6.75963i	0.322431	−	0.372105i
$331$	−1.65832	+	11.5339i	−0.0911495	+	0.633959i	0.892120	+	0.451800i	$0.149218\pi$
$331$	−1.65832	+	11.5339i	−0.0911495	+	0.633959i	−0.983269	+	0.182159i	$0.941691\pi$
$332$	−3.39824	−	7.44110i	−0.186502	−	0.408383i
$333$	−6.20997	−	1.82341i	−0.340304	−	0.0999223i
$334$	16.2579	+	4.77375i	0.889593	+	0.261208i
$335$	9.72753	+	21.3003i	0.531472	+	1.16376i
$336$	−1.90935	+	13.2798i	−0.104164	+	0.724475i
$337$	2.23727	−	2.58195i	0.121872	−	0.140648i	−0.691535	−	0.722343i	$-0.743065\pi$
$337$	2.23727	−	2.58195i	0.121872	−	0.140648i	0.813407	+	0.581696i	$0.197611\pi$
$338$	2.68862	−	5.88726i	0.146242	−	0.320225i
$339$	24.8984	+	16.0012i	1.35229	+	0.869066i
$340$	1.49034	+	10.3655i	0.0808251	+	0.562151i
$341$	4.31110	−	2.77057i	0.233459	−	0.150035i
$342$	−4.23835	−	4.89131i	−0.229184	−	0.264492i
$343$	−14.7919	+	4.34330i	−0.798689	+	0.234516i
$344$		0			0
$345$		0			0
$346$	−8.18034			−0.439778
$347$	−24.8399	+	7.29365i	−1.33347	+	0.391543i	−0.869337	−	0.494220i	$-0.835454\pi$
$347$	−24.8399	+	7.29365i	−1.33347	+	0.391543i	−0.464137	+	0.885763i	$0.653636\pi$
$348$	2.71499	+	3.13326i	0.145539	+	0.167960i
$349$	−2.03281	+	1.30641i	−0.108814	+	0.0699305i	−0.593916	−	0.804527i	$-0.702419\pi$
$349$	−2.03281	+	1.30641i	−0.108814	+	0.0699305i	0.485102	+	0.874458i	$0.338782\pi$
$350$	−1.55753	−	10.8329i	−0.0832536	−	0.579042i
$351$	−5.64330	−	3.62673i	−0.301217	−	0.193580i
$352$	−1.07326	+	2.35012i	−0.0572051	+	0.125262i
$353$	23.1563	−	26.7238i	1.23249	−	1.42237i	0.360555	−	0.932738i	$-0.382587\pi$
$353$	23.1563	−	26.7238i	1.23249	−	1.42237i	0.871932	−	0.489627i	$-0.162867\pi$
$354$	−1.27290	+	8.85323i	−0.0676540	+	0.470544i
$355$	−10.4371	−	22.8542i	−0.553946	−	1.21297i
$356$	0.906022	+	0.266032i	0.0480191	+	0.0140997i
$357$	13.8859	+	4.07727i	0.734920	+	0.215792i
$358$	8.54189	+	18.7041i	0.451453	+	0.988544i
$359$	−2.26118	+	15.7268i	−0.119340	+	0.830030i	0.838945	+	0.544216i	$0.183173\pi$
$359$	−2.26118	+	15.7268i	−0.119340	+	0.830030i	−0.958285	+	0.285814i	$0.907736\pi$
$360$	9.47723	−	10.9373i	0.499494	−	0.576447i
$361$	−6.23123	+	13.6445i	−0.327959	+	0.718131i
$362$	19.9446	+	12.8176i	1.04827	+	0.673679i
$363$	3.31477	+	23.0547i	0.173980	+	1.21006i
$364$	−1.92798	+	1.23904i	−0.101054	+	0.0649433i
$365$	32.7881	+	37.8395i	1.71621	+	1.98061i
$366$	37.9928	−	11.1557i	1.98592	−	0.583117i
$367$	18.1803			0.949006			0.474503	−	0.880254i	$-0.342628\pi$
$367$	18.1803			0.949006			0.474503	+	0.880254i	$0.342628\pi$
$368$		0			0
$369$	10.9443			0.569736
$370$	−16.2579	+	4.77375i	−0.845208	+	0.248176i
$371$	−6.85779	−	7.91431i	−0.356039	−	0.410891i
$372$	−7.79885	+	5.01202i	−0.404351	+	0.259861i
$373$	0.812362	+	5.65010i	0.0420625	+	0.292551i	0.999985	+	0.00552335i	$0.00175815\pi$
$373$	0.812362	+	5.65010i	0.0420625	+	0.292551i	−0.957922	+	0.287028i	$0.907333\pi$
$374$	5.44471	+	3.49910i	0.281539	+	0.180934i
$375$	−1.41923	+	3.10767i	−0.0732886	+	0.160480i
$376$	−3.27430	+	3.77875i	−0.168859	+	0.194874i
$377$	1.28083	−	8.90839i	0.0659663	−	0.458806i
$378$	−1.85779	−	4.06800i	−0.0955545	−	0.209235i
$379$	19.5359	+	5.73627i	1.00349	+	0.294652i	0.741889	−	0.670523i	$-0.233930\pi$
$379$	19.5359	+	5.73627i	1.00349	+	0.294652i	0.261604	+	0.965175i	$0.415748\pi$
$380$	−3.83797	−	1.12693i	−0.196884	−	0.0578103i
$381$	−19.2358	−	42.1205i	−0.985478	−	2.15790i
$382$	−0.879554	+	6.11743i	−0.0450019	+	0.312995i
$383$	−16.3350	+	18.8516i	−0.834681	+	0.963273i	−0.999735	−	0.0230115i	$-0.992675\pi$
$383$	−16.3350	+	18.8516i	−0.834681	+	0.963273i	0.165054	+	0.986284i	$0.447220\pi$
$384$	−12.6497	+	27.6991i	−0.645529	+	1.41351i
$385$	−2.57064	−	1.65205i	−0.131012	−	0.0841963i
$386$	−1.82933	−	12.7233i	−0.0931104	−	0.647597i
$387$		0			0
$388$	−1.73700	−	2.00461i	−0.0881829	−	0.101769i
$389$	−33.0758	+	9.71192i	−1.67701	+	0.492414i	−0.975454	−	0.220202i	$-0.929328\pi$
$389$	−33.0758	+	9.71192i	−1.67701	+	0.492414i	−0.701554	+	0.712616i	$0.747510\pi$
$390$	35.1246			1.77860
$391$		0			0
$392$	−12.2361			−0.618015
$393$	−11.3535	+	3.33369i	−0.572708	+	0.168162i
$394$	7.91738	+	9.13714i	0.398872	+	0.460323i
$395$	−18.9048	+	12.1494i	−0.951202	+	0.611300i
$396$	0.134384	+	0.934661i	0.00675305	+	0.0469685i
$397$	2.03281	+	1.30641i	0.102024	+	0.0655668i	0.590658	−	0.806922i	$-0.298868\pi$
$397$	2.03281	+	1.30641i	0.102024	+	0.0655668i	−0.488634	+	0.872489i	$0.662505\pi$
$398$	17.2799	−	37.8377i	0.866164	−	1.89663i
$399$	−3.61998	+	4.17768i	−0.181226	+	0.209146i
$400$	3.78021	−	26.2919i	0.189011	−	1.31460i
$401$	3.39824	+	7.44110i	0.169700	+	0.371591i	0.975305	−	0.220862i	$-0.0708870\pi$
$401$	3.39824	+	7.44110i	0.169700	+	0.371591i	−0.805605	+	0.592453i	$0.798160\pi$
$402$	−25.1199	−	7.37585i	−1.25286	−	0.367874i
$403$	19.3094	+	5.66976i	0.961871	+	0.282431i
$404$	−1.14818	−	2.51416i	−0.0571240	−	0.125084i
$405$	−5.06595	+	35.2344i	−0.251729	+	1.75081i
$406$	3.92916	−	4.53450i	0.195001	−	0.225043i
$407$	−1.02696	+	2.24873i	−0.0509046	+	0.111466i
$408$	22.0243	+	14.1542i	1.09037	+	0.700735i
$409$	3.32457	+	23.1229i	0.164389	+	1.14335i	0.890237	+	0.455498i	$0.150539\pi$
$409$	3.32457	+	23.1229i	0.164389	+	1.14335i	−0.725847	+	0.687856i	$0.758552\pi$
$410$	24.1040	−	15.4907i	1.19041	−	0.765031i
$411$	−20.3372	−	23.4704i	−1.00316	−	1.15771i
$412$	−10.7809	+	3.16557i	−0.531138	+	0.155956i
$413$	3.05573			0.150363
$414$		0			0
$415$	42.8328			2.10258
$416$	−9.73492	+	2.85843i	−0.477294	+	0.140146i
$417$	−3.96566	−	4.57661i	−0.194199	−	0.224118i
$418$	−2.07969	+	1.33654i	−0.101721	+	0.0653722i
$419$	4.47102	+	31.0966i	0.218424	+	1.51917i	0.743859	+	0.668336i	$0.232993\pi$
$419$	4.47102	+	31.0966i	0.218424	+	1.51917i	−0.525435	+	0.850833i	$0.676098\pi$
$420$	4.65034	+	2.98859i	0.226913	+	0.145828i
$421$	−9.84874	+	21.5657i	−0.479998	+	1.05105i	0.502466	+	0.864597i	$0.332426\pi$
$421$	−9.84874	+	21.5657i	−0.479998	+	1.05105i	−0.982464	+	0.186453i	$0.940301\pi$
$422$	3.61998	−	4.17768i	0.176218	−	0.203366i
$423$	−0.636451	+	4.42662i	−0.0309453	+	0.215229i
$424$	−7.86973	−	17.2323i	−0.382188	−	0.836875i
$425$	−27.4918	−	8.07234i	−1.33355	−	0.391566i
$426$	26.9523	+	7.91392i	1.30584	+	0.383430i
$427$	−5.61968	−	12.3054i	−0.271955	−	0.595499i
$428$	1.18005	−	8.20740i	0.0570397	−	0.396720i
$429$	3.35591	−	3.87292i	0.162025	−	0.186986i
$430$		0			0
$431$	−22.2698	−	14.3119i	−1.07270	−	0.689381i	−0.119838	−	0.992793i	$-0.538238\pi$
$431$	−22.2698	−	14.3119i	−1.07270	−	0.689381i	−0.952859	+	0.303413i	$0.901874\pi$
$432$	−1.54470	−	10.7436i	−0.0743194	−	0.516903i
$433$	33.8019	−	21.7231i	1.62441	−	1.04395i	0.671366	−	0.741126i	$-0.265708\pi$
$433$	33.8019	−	21.7231i	1.62441	−	1.04395i	0.953047	−	0.302821i	$-0.0979285\pi$
$434$	8.78588	+	10.1394i	0.421736	+	0.486709i
$435$	−20.8289	+	6.11591i	−0.998668	+	0.293235i
$436$		0			0
$437$		0			0
$438$	−55.9787			−2.67477
$439$	5.07744	−	1.49087i	0.242333	−	0.0711554i	−0.158311	−	0.987389i	$-0.550605\pi$
$439$	5.07744	−	1.49087i	0.242333	−	0.0711554i	0.400644	+	0.916234i	$0.368787\pi$
$440$	−3.61998	−	4.17768i	−0.172576	−	0.199163i
$441$	−9.20691	+	5.91692i	−0.438424	+	0.281758i
$442$	3.61713	+	25.1577i	0.172049	+	1.19663i
$443$	−1.78734	−	1.14865i	−0.0849190	−	0.0545741i	0.497492	−	0.867468i	$-0.334254\pi$
$443$	−1.78734	−	1.14865i	−0.0849190	−	0.0545741i	−0.582411	+	0.812894i	$0.697891\pi$
$444$	1.85779	−	4.06800i	0.0881669	−	0.193059i
$445$	−3.23781	+	3.73663i	−0.153487	+	0.177133i
$446$	0.921081	−	6.40626i	0.0436144	−	0.303345i
$447$	−11.0432	−	24.1813i	−0.522327	−	1.14374i
$448$	5.02397	+	1.47517i	0.237360	+	0.0696953i
$449$	−2.82501	−	0.829497i	−0.133320	−	0.0391464i	0.214392	−	0.976748i	$-0.431223\pi$
$449$	−2.82501	−	0.829497i	−0.133320	−	0.0391464i	−0.347712	+	0.937601i	$0.613041\pi$
$450$	−7.35625	−	16.1079i	−0.346777	−	0.759336i
$451$	0.594924	−	4.13779i	0.0280139	−	0.194841i
$452$	−5.35698	+	6.18229i	−0.251971	+	0.290790i
$453$	−0.219283	+	0.480162i	−0.0103028	+	0.0225600i
$454$	−13.8572	−	8.90551i	−0.650353	−	0.417956i
$455$	−1.70778	−	11.8779i	−0.0800619	−	0.556843i
$456$	−8.41254	+	5.40641i	−0.393953	+	0.253178i
$457$	−23.0017	−	26.5454i	−1.07598	−	1.24174i	−0.968890	−	0.247492i	$-0.920394\pi$
$457$	−23.0017	−	26.5454i	−1.07598	−	1.24174i	−0.107086	−	0.994250i	$-0.534152\pi$
$458$	−18.6299	+	5.47023i	−0.870518	+	0.255607i
$459$	−11.7082			−0.546492
$460$		0			0
$461$	7.47214			0.348012			0.174006	−	0.984745i	$-0.444329\pi$
$461$	7.47214			0.348012			0.174006	+	0.984745i	$0.444329\pi$
$462$	3.27802	−	0.962513i	0.152507	−	0.0447802i
$463$	13.0972	+	15.1150i	0.608679	+	0.702453i	0.973516	−	0.228618i	$-0.0734207\pi$
$463$	13.0972	+	15.1150i	0.608679	+	0.702453i	−0.364837	+	0.931071i	$0.618875\pi$
$464$	12.2506	−	7.87298i	0.568719	−	0.365494i
$465$	−6.90811	−	48.0469i	−0.320356	−	2.22812i
$466$	21.0603	+	13.5346i	0.975600	+	0.626980i
$467$	−12.8547	+	28.1479i	−0.594845	+	1.30253i	0.337624	+	0.941281i	$0.390377\pi$
$467$	−12.8547	+	28.1479i	−0.594845	+	1.30253i	−0.932470	+	0.361249i	$0.882351\pi$
$468$	−2.42836	+	2.80247i	−0.112251	+	0.129544i
$469$	−1.27290	+	8.85323i	−0.0587772	+	0.408804i
$470$	4.86376	+	10.6502i	0.224349	+	0.491255i
$471$	−33.0758	−	9.71192i	−1.52405	−	0.447502i
$472$	5.30395	+	1.55738i	0.244134	+	0.0716842i
$473$		0			0
$474$	3.57561	−	24.8689i	0.164233	−	1.14227i
$475$	7.16697	−	8.27113i	0.328843	−	0.379505i
$476$	−1.66166	+	3.63853i	−0.0761621	+	0.166772i
$477$	−14.2544	−	9.16077i	−0.652665	−	0.419443i
$478$	4.19922	+	29.2062i	0.192068	+	1.33586i
$479$	−14.8033	+	9.51352i	−0.676381	+	0.434684i	−0.833221	−	0.552940i	$-0.813506\pi$
$479$	−14.8033	+	9.51352i	−0.676381	+	0.434684i	0.156840	+	0.987624i	$0.449869\pi$
$480$	16.0258	+	18.4948i	0.731476	+	0.844169i
$481$	−9.31495	+	2.73512i	−0.424725	+	0.124711i
$482$	−27.7082			−1.26207
$483$		0			0
$484$	−6.43769			−0.292622
$485$	13.3260	−	3.91285i	0.605101	−	0.177674i
$486$	−18.9545	−	21.8746i	−0.859792	−	0.992253i
$487$	−1.08673	+	0.698398i	−0.0492443	+	0.0316474i	−0.565031	−	0.825069i	$-0.691136\pi$
$487$	−1.08673	+	0.698398i	−0.0492443	+	0.0316474i	0.515787	+	0.856717i	$0.327500\pi$
$488$	−3.48275	−	24.2230i	−0.157657	−	1.09653i
$489$	−19.2551	−	12.3745i	−0.870744	−	0.559593i
$490$	−11.9027	+	26.0632i	−0.537708	+	1.17742i
$491$	−25.9668	+	29.9673i	−1.17187	+	1.35241i	−0.248434	+	0.968649i	$0.579916\pi$
$491$	−25.9668	+	29.9673i	−1.17187	+	1.35241i	−0.923434	+	0.383758i	$0.874630\pi$
$492$	−1.07623	+	7.48533i	−0.0485201	+	0.337465i
$493$	−6.52542	−	14.2887i	−0.293890	−	0.643530i
$494$	−9.31495	−	2.73512i	−0.419100	−	0.123059i
$495$	−4.74399	−	1.39296i	−0.213227	−	0.0626090i
$496$	13.5269	+	29.6197i	0.607374	+	1.32996i
$497$	1.36576	−	9.49907i	0.0612627	−	0.426091i
$498$	−31.3603	+	36.1917i	−1.40529	+	1.62179i
$499$	13.5875	−	29.7524i	0.608259	−	1.33190i	−0.315499	−	0.948926i	$-0.602172\pi$
$499$	13.5875	−	29.7524i	0.608259	−	1.33190i	0.923758	−	0.382976i	$-0.125101\pi$
$500$	−0.794372	−	0.510512i	−0.0355254	−	0.0228308i
$501$	−3.33250	−	23.1781i	−0.148885	−	1.03552i
$502$	−21.3816	+	13.7411i	−0.954309	+	0.613297i
$503$	5.93024	+	6.84386i	0.264416	+	0.305153i	0.872396	−	0.488800i	$-0.162565\pi$
$503$	5.93024	+	6.84386i	0.264416	+	0.305153i	−0.607980	+	0.793953i	$0.708020\pi$
$504$	5.30395	−	1.55738i	0.236257	−	0.0693712i
$505$	14.4721			0.644002
$506$		0			0
$507$	−8.94427			−0.397229
$508$	12.2799	−	3.60572i	0.544835	−	0.159978i
$509$	−22.4650	−	25.9260i	−0.995742	−	1.14915i	−0.988811	−	0.149172i	$-0.952339\pi$
$509$	−22.4650	−	25.9260i	−0.995742	−	1.14915i	−0.00693079	−	0.999976i	$-0.502206\pi$
$510$	51.5730	−	33.1440i	2.28369	−	1.46764i
$511$	2.72172	+	18.9300i	0.120402	+	0.837412i
$512$	4.45174	+	2.86096i	0.196741	+	0.126438i
$513$	1.85779	−	4.06800i	0.0820235	−	0.179606i
$514$	1.55986	−	1.80017i	0.0688023	−	0.0794021i
$515$	8.37278	−	58.2340i	0.368949	−	2.56610i
$516$		0			0
$517$	1.63901	+	0.481257i	0.0720836	+	0.0211656i
$518$	−6.20997	−	1.82341i	−0.272850	−	0.0801161i
$519$	4.69625	+	10.2833i	0.206142	+	0.451389i
$520$	3.08940	−	21.4872i	0.135479	−	0.942278i
$521$	−3.00161	+	3.46405i	−0.131503	+	0.151763i	−0.817682	−	0.575670i	$-0.804741\pi$
$521$	−3.00161	+	3.46405i	−0.131503	+	0.151763i	0.686179	+	0.727433i	$0.259287\pi$
$522$	4.03293	−	8.83089i	0.176517	−	0.386518i
$523$	0.736423	+	0.473271i	0.0322015	+	0.0206947i	0.556643	−	0.830752i	$-0.312089\pi$
$523$	0.736423	+	0.473271i	0.0322015	+	0.0206947i	−0.524441	+	0.851447i	$0.675726\pi$
$524$	−0.465442	−	3.23722i	−0.0203329	−	0.141419i
$525$	−12.7236	+	8.17698i	−0.555305	+	0.356873i
$526$	−15.8348	−	18.2743i	−0.690428	−	0.796797i
$527$	33.7018	−	9.89575i	1.46807	−	0.431065i
$528$	8.29180			0.360854
$529$		0			0
$530$	−44.3607			−1.92690
$531$	4.74399	−	1.39296i	0.205872	−	0.0604494i
$532$	−1.00054	−	1.15468i	−0.0433788	−	0.0500618i
$533$	13.8104	−	8.87538i	0.598193	−	0.384435i
$534$	−0.786697	−	5.47160i	−0.0340437	−	0.236779i
$535$	36.5242	+	23.4727i	1.57908	+	1.01481i
$536$	−6.72156	+	14.7182i	−0.290327	+	0.635727i
$537$	18.6088	−	21.4757i	0.803029	−	0.926744i
$538$	2.28987	−	15.9264i	0.0987233	−	0.686636i
$539$	1.73658	+	3.80257i	0.0747996	+	0.163788i
$540$	−4.29098	−	1.25995i	−0.184655	−	0.0542195i
$541$	7.27640	+	2.13654i	0.312837	+	0.0918572i	0.434382	−	0.900729i	$-0.356967\pi$
$541$	7.27640	+	2.13654i	0.312837	+	0.0918572i	−0.121545	+	0.992586i	$0.538785\pi$
$542$	−5.37724	−	11.7745i	−0.230972	−	0.505759i
$543$	4.66279	−	32.4304i	0.200100	−	1.39172i
$544$	−11.5964	+	13.3830i	−0.497192	+	0.573790i
$545$		0			0
$546$	11.2866	+	7.25346i	0.483022	+	0.310419i
$547$	−5.34264	−	37.1589i	−0.228435	−	1.58880i	−0.704705	−	0.709501i	$-0.748920\pi$
$547$	−5.34264	−	37.1589i	−0.228435	−	1.58880i	0.476270	−	0.879299i	$-0.341989\pi$
$548$	7.22098	−	4.64064i	0.308465	−	0.198238i
$549$	−14.3339	−	16.5423i	−0.611758	−	0.706006i
$550$	−6.48995	+	1.90562i	−0.276732	+	0.0812559i
$551$	6.00000			0.255609
$552$		0			0
$553$	−8.58359			−0.365011
$554$	10.1345	−	2.97575i	0.430572	−	0.126427i
$555$	15.3345	+	17.6969i	0.650913	+	0.751193i
$556$	1.40806	−	0.904904i	0.0597150	−	0.0383765i
$557$	−2.76324	−	19.2188i	−0.117082	−	0.814326i	−0.960741	−	0.277446i	$-0.910512\pi$
$557$	−2.76324	−	19.2188i	−0.117082	−	0.814326i	0.843659	−	0.536880i	$-0.180397\pi$
$558$	18.2621	+	11.7363i	0.773096	+	0.496839i
$559$		0			0
$560$	12.7150	−	14.6739i	0.537309	−	0.620087i
$561$	1.27290	−	8.85323i	0.0537420	−	0.373784i
$562$	8.89670	+	19.4810i	0.375285	+	0.821758i
$563$	14.4459	+	4.24169i	0.608821	+	0.178766i	0.571588	−	0.820541i	$-0.306328\pi$
$563$	14.4459	+	4.24169i	0.608821	+	0.178766i	0.0372326	+	0.999307i	$0.488146\pi$
$564$	−2.96500	−	0.870601i	−0.124849	−	0.0366589i
$565$	−17.7934	−	38.9621i	−0.748574	−	1.63915i
$566$	3.29098	−	22.8892i	0.138330	−	0.962106i
$567$	−8.90398	+	10.2757i	−0.373932	+	0.431540i
$568$	7.21189	−	15.7918i	0.302604	−	0.662610i
$569$	0.151712	+	0.0974991i	0.00636008	+	0.00408738i	0.543817	−	0.839204i	$-0.316979\pi$
$569$	0.151712	+	0.0974991i	0.00636008	+	0.00408738i	−0.537457	+	0.843291i	$0.680615\pi$
$570$	3.33250	+	23.1781i	0.139583	+	0.970822i
$571$	−23.3096	+	14.9802i	−0.975477	+	0.626901i	−0.928240	−	0.371982i	$-0.878678\pi$
$571$	−23.3096	+	14.9802i	−0.975477	+	0.626901i	−0.0472376	+	0.998884i	$0.515042\pi$
$572$	0.927550	+	1.07045i	0.0387828	+	0.0447577i
$573$	8.19505	−	2.40628i	0.342353	−	0.100524i
$574$	10.9443			0.456805
$575$		0			0
$576$	8.47214			0.353006
$577$	12.3665	−	3.63112i	0.514823	−	0.151166i	−0.0139932	−	0.999902i	$-0.504454\pi$
$577$	12.3665	−	3.63112i	0.514823	−	0.151166i	0.528816	+	0.848736i	$0.322636\pi$
$578$	11.0371	+	12.7375i	0.459082	+	0.529809i
$579$	−14.9440	+	9.60391i	−0.621050	+	0.399125i
$580$	−0.853889	−	5.93893i	−0.0354558	−	0.246601i
$581$	13.7635	+	8.84525i	0.571005	+	0.366963i
$582$	−6.45051	+	14.1246i	−0.267382	+	0.585485i
$583$	−4.23835	+	4.89131i	−0.175534	+	0.202578i
$584$	−4.92363	+	34.2446i	−0.203741	+	1.41705i
$585$	−8.06587	−	17.6618i	−0.333483	−	0.730225i
$586$	−16.2579	−	4.77375i	−0.671608	−	0.197202i
$587$	10.8344	+	3.18127i	0.447184	+	0.131305i	0.497568	−	0.867425i	$-0.334226\pi$
$587$	10.8344	+	3.18127i	0.447184	+	0.131305i	−0.0503845	+	0.998730i	$0.516045\pi$
$588$	−3.14150	−	6.87892i	−0.129553	−	0.283682i
$589$	−1.90935	+	13.2798i	−0.0786736	+	0.547187i
$590$	8.47670	−	9.78263i	0.348980	−	0.402744i
$591$	6.94084	−	15.1983i	0.285508	−	0.625175i
$592$	−13.2146	−	8.49250i	−0.543116	−	0.349039i
$593$	−2.12679	−	14.7922i	−0.0873369	−	0.607441i	−0.985741	−	0.168271i	$-0.946182\pi$
$593$	−2.12679	−	14.7922i	−0.0873369	−	0.607441i	0.898404	−	0.439170i	$-0.144727\pi$
$594$	−2.32517	+	1.49429i	−0.0954028	+	0.0613116i
$595$	−13.7156	−	15.8286i	−0.562284	−	0.648910i
$596$	7.04990	−	2.07004i	0.288775	−	0.0847920i
$597$	−57.4853			−2.35272
$598$		0			0
$599$	−1.88854			−0.0771638			−0.0385819	−	0.999255i	$-0.512284\pi$
$599$	−1.88854			−0.0771638			−0.0385819	+	0.999255i	$0.512284\pi$
$600$	−26.2524	+	7.70839i	−1.07175	+	0.314694i
$601$	−7.27646	−	8.39748i	−0.296813	−	0.342540i	0.587680	−	0.809093i	$-0.300041\pi$
$601$	−7.27646	−	8.39748i	−0.296813	−	0.342540i	−0.884493	+	0.466553i	$0.845496\pi$
$602$		0			0
$603$	2.05960	+	14.3248i	0.0838734	+	0.583352i
$604$	−0.122737	−	0.0788784i	−0.00499411	−	0.00320952i
$605$	14.0029	−	30.6621i	0.569299	−	1.24659i
$606$	−10.5959	+	12.2283i	−0.430428	+	0.496740i
$607$	−2.49448	+	17.3495i	−0.101248	+	0.704193i	0.874457	+	0.485103i	$0.161218\pi$
$607$	−2.49448	+	17.3495i	−0.101248	+	0.704193i	−0.975705	+	0.219090i	$0.929691\pi$
$608$	−2.80984	−	6.15269i	−0.113954	−	0.249524i
$609$	−7.95592	−	2.33607i	−0.322390	−	0.0946623i
$610$	−54.9837	−	16.1447i	−2.22622	−	0.653679i
$611$	2.78669	+	6.10200i	0.112737	+	0.246860i
$612$	−0.921081	+	6.40626i	−0.0372325	+	0.258958i
$613$	5.04780	−	5.82547i	0.203879	−	0.235289i	−0.644597	−	0.764522i	$-0.722975\pi$
$613$	5.04780	−	5.82547i	0.203879	−	0.235289i	0.848476	+	0.529234i	$0.177520\pi$
$614$	−12.4161	+	27.1876i	−0.501075	+	1.09720i
$615$	−33.3109	−	21.4076i	−1.34323	−	0.863238i
$616$	−0.300492	−	2.08996i	−0.0121071	−	0.0842071i
$617$	−13.8572	+	8.90551i	−0.557872	+	0.358522i	−0.788993	−	0.614403i	$-0.789397\pi$
$617$	−13.8572	+	8.90551i	−0.557872	+	0.358522i	0.231121	+	0.972925i	$0.425761\pi$
$618$	43.0748	+	49.7110i	1.73272	+	1.99967i
$619$	7.11599	−	2.08944i	0.286016	−	0.0839818i	−0.135578	−	0.990767i	$-0.543289\pi$
$619$	7.11599	−	2.08944i	0.286016	−	0.0839818i	0.421594	+	0.906785i	$0.361471\pi$
$620$	13.4164			0.538816
$621$		0			0
$622$	14.8541			0.595595
$623$	−1.81204	+	0.532064i	−0.0725980	+	0.0213167i
$624$	21.3238	+	24.6089i	0.853634	+	0.985146i
$625$	−18.8579	+	12.1192i	−0.754315	+	0.484769i
$626$	−4.68846	−	32.6089i	−0.187388	−	1.30332i
$627$	2.87407	+	1.84705i	0.114779	+	0.0737641i
$628$	3.95802	−	8.66685i	0.157942	−	0.345845i
$629$	−11.0961	+	12.8056i	−0.442432	+	0.510594i
$630$	1.84216	−	12.8125i	0.0733935	−	0.510463i
$631$	−13.4431	−	29.4363i	−0.535162	−	1.17184i	−0.963374	−	0.268163i	$-0.913584\pi$
$631$	−13.4431	−	29.4363i	−0.535162	−	1.17184i	0.428212	−	0.903678i	$-0.359144\pi$
$632$	−14.8989	−	4.37470i	−0.592645	−	0.174016i
$633$	−7.32987	−	2.15225i	−0.291336	−	0.0855441i
$634$	0.952046	+	2.08469i	0.0378106	+	0.0827937i
$635$	−9.53697	+	66.3311i	−0.378463	+	2.63227i
$636$	7.66724	−	8.84847i	0.304026	−	0.350865i
$637$	−6.81962	+	14.9329i	−0.270203	+	0.591663i
$638$	−3.11954	−	2.00481i	−0.123504	−	0.0793710i
$639$	−2.20985	−	15.3698i	−0.0874201	−	0.608020i
$640$	37.0731	−	23.8254i	1.46544	−	0.941783i
$641$	−29.6684	−	34.2392i	−1.17183	−	1.35237i	−0.923456	−	0.383703i	$-0.874649\pi$
$641$	−29.6684	−	34.2392i	−1.17183	−	1.35237i	−0.248376	−	0.968664i	$-0.579897\pi$
$642$	−46.5748	+	13.6756i	−1.83816	+	0.539732i
$643$	19.5967			0.772820			0.386410	−	0.922327i	$-0.373715\pi$
$643$	19.5967			0.772820			0.386410	+	0.922327i	$0.373715\pi$
$644$		0			0
$645$		0			0
$646$	−16.2579	+	4.77375i	−0.639659	+	0.187821i
$647$	4.39294	+	5.06972i	0.172704	+	0.199311i	0.835502	−	0.549487i	$-0.185177\pi$
$647$	4.39294	+	5.06972i	0.172704	+	0.199311i	−0.662798	+	0.748798i	$0.730631\pi$
$648$	−20.6921	+	13.2980i	−0.812862	+	0.522395i
$649$	−0.268768	−	1.86932i	−0.0105501	−	0.0733773i
$650$	−22.3456	−	14.3607i	−0.876468	−	0.563272i
$651$	7.70222	−	16.8655i	0.301874	−	0.661011i
$652$	4.14280	−	4.78105i	0.162245	−	0.187240i
$653$	−3.45896	+	24.0576i	−0.135359	+	0.941445i	0.803048	+	0.595914i	$0.203210\pi$
$653$	−3.45896	+	24.0576i	−0.135359	+	0.941445i	−0.938407	+	0.345531i	$0.887699\pi$
$654$		0			0
$655$	16.4309	+	4.82456i	0.642010	+	0.188511i
$656$	25.4863	+	7.48347i	0.995075	+	0.292180i
$657$	12.8547	+	28.1479i	0.501510	+	1.09815i
$658$	−0.636451	+	4.42662i	−0.0248115	+	0.172567i
$659$	−13.5245	+	15.6081i	−0.526840	+	0.608005i	−0.955330	−	0.295541i	$-0.904500\pi$
$659$	−13.5245	+	15.6081i	−0.526840	+	0.608005i	0.428490	+	0.903546i	$0.359046\pi$
$660$	1.41923	−	3.10767i	0.0552433	−	0.120966i
$661$	−4.25315	−	2.73333i	−0.165428	−	0.106314i	0.455307	−	0.890334i	$-0.349529\pi$
$661$	−4.25315	−	2.73333i	−0.165428	−	0.106314i	−0.620735	+	0.784020i	$0.713166\pi$
$662$	2.68322	+	18.6622i	0.104286	+	0.725327i
$663$	29.5487	−	18.9898i	1.14758	−	0.737503i
$664$	19.3817	+	22.3677i	0.752158	+	0.868036i
$665$	7.67594	−	2.25386i	0.297660	−	0.0874010i
$666$	−10.4721			−0.405787
$667$		0			0
$668$	6.47214			0.250414
$669$	−8.58197	+	2.51989i	−0.331798	+	0.0974247i
$670$	24.8117	+	28.6343i	0.958560	+	1.10624i
$671$	−7.03345	+	4.52012i	−0.271523	+	0.174497i
$672$	1.33029	+	9.25238i	0.0513171	+	0.356918i
$673$	2.52376	+	1.62192i	0.0972838	+	0.0625205i	0.588378	−	0.808586i	$-0.299767\pi$
$673$	2.52376	+	1.62192i	0.0972838	+	0.0625205i	−0.491094	+	0.871106i	$0.663403\pi$
$674$	2.29636	−	5.02832i	0.0884524	−	0.193684i
$675$	8.01292	−	9.24740i	0.308417	−	0.355933i
$676$	0.351822	−	2.44697i	0.0135316	−	0.0941144i
$677$	7.47747	+	16.3734i	0.287383	+	0.629280i	0.997174	−	0.0751323i	$-0.0239379\pi$
$677$	7.47747	+	16.3734i	0.287383	+	0.629280i	−0.709791	+	0.704412i	$0.751211\pi$
$678$	45.9487	+	13.4918i	1.76465	+	0.518148i
$679$	5.09006	+	1.49458i	0.195339	+	0.0573566i
$680$	−15.7395	−	34.4646i	−0.603581	−	1.32166i
$681$	−3.23965	+	22.5322i	−0.124143	+	0.863437i
$682$	5.42997	−	6.26652i	0.207924	−	0.239958i
$683$	−9.38703	+	20.5547i	−0.359185	+	0.786505i	0.640641	+	0.767840i	$0.278669\pi$
$683$	−9.38703	+	20.5547i	−0.359185	+	0.786505i	−0.999826	+	0.0186643i	$0.994059\pi$
$684$	−2.07969	−	1.33654i	−0.0795191	−	0.0511038i
$685$	6.39624	+	44.4868i	0.244388	+	1.69975i
$686$	−20.9845	+	13.4859i	−0.801190	+	0.514894i
$687$	17.5718	+	20.2789i	0.670404	+	0.773688i
$688$		0			0
$689$	−25.4164			−0.968288
$690$		0			0
$691$	24.9443			0.948925			0.474462	−	0.880276i	$-0.342642\pi$
$691$	24.9443			0.948925			0.474462	+	0.880276i	$0.342642\pi$
$692$	−2.99804	+	0.880305i	−0.113968	+	0.0334642i
$693$	−1.23673	−	1.42727i	−0.0469796	−	0.0542174i
$694$	−35.2389	+	22.6467i	−1.33765	+	0.859655i
$695$	1.24724	+	8.67473i	0.0473104	+	0.329051i
$696$	−12.6188	−	8.10961i	−0.478314	−	0.307394i
$697$	11.9027	−	26.0632i	0.450846	−	0.987214i
$698$	−2.56039	+	2.95485i	−0.0969123	+	0.111843i
$699$	4.92363	−	34.2446i	0.186229	−	1.29525i
$700$	−1.73658	−	3.80257i	−0.0656364	−	0.143724i
$701$	25.1199	+	7.37585i	0.948764	+	0.278582i	0.719272	−	0.694728i	$-0.244475\pi$
$701$	25.1199	+	7.37585i	0.948764	+	0.278582i	0.229492	+	0.973311i	$0.426294\pi$
$702$	−10.4144	−	3.05795i	−0.393068	−	0.115415i
$703$	−2.68862	−	5.88726i	−0.101403	−	0.222042i
$704$	0.460540	−	3.20313i	0.0173573	−	0.120722i
$705$	10.5959	−	12.2283i	0.399064	−	0.460544i
$706$	23.7679	−	52.0444i	0.894516	−	1.95872i
$707$	4.65034	+	2.98859i	0.174894	+	0.112397i
$708$	0.486206	+	3.38163i	0.0182727	+	0.127090i
$709$	13.5180	−	8.68749i	0.507679	−	0.326266i	−0.261602	−	0.965176i	$-0.584251\pi$
$709$	13.5180	−	8.68749i	0.507679	−	0.326266i	0.769281	+	0.638910i	$0.220614\pi$
$710$	−26.6217	−	30.7231i	−0.999095	−	1.15302i
$711$	−13.3260	+	3.91285i	−0.499763	+	0.146744i
$712$	−3.41641			−0.128035
$713$		0			0
$714$	23.4164			0.876337
$715$	−7.11599	+	2.08944i	−0.266123	+	0.0781408i
$716$	5.14334	+	5.93573i	0.192216	+	0.221829i
$717$	34.3039	−	22.0458i	1.28110	−	0.823314i
$718$	3.65866	+	25.4465i	0.136540	+	0.949656i
$719$	−17.6194	−	11.3233i	−0.657094	−	0.422289i	0.169158	−	0.985589i	$-0.445895\pi$
$719$	−17.6194	−	11.3233i	−0.657094	−	0.422289i	−0.826252	+	0.563300i	$0.809532\pi$
$720$	13.0508	−	28.5774i	0.486376	−	1.06502i
$721$	14.7161	−	16.9833i	0.548057	−	0.632491i
$722$	−3.45405	+	24.0235i	−0.128547	+	0.894061i
$723$	15.9070	+	34.8314i	0.591587	+	1.29540i
$724$	8.68891	+	2.55129i	0.322921	+	0.0948181i
$725$	15.7514	+	4.62504i	0.584993	+	0.171770i
$726$	15.6557	+	34.2812i	0.581038	+	1.27230i
$727$	2.03393	−	14.1463i	0.0754345	−	0.524658i	−0.916709	−	0.399555i	$-0.869165\pi$
$727$	2.03393	−	14.1463i	0.0754345	−	0.524658i	0.992144	−	0.125103i	$-0.0399262\pi$
$728$	5.42997	−	6.26652i	0.201248	−	0.232253i
$729$	−2.90791	+	6.36742i	−0.107700	+	0.235831i
$730$	68.1526	+	43.7990i	2.52244	+	1.62107i
$731$		0			0
$732$	12.7236	−	8.17698i	0.470279	−	0.302230i
$733$	17.5266	+	20.2268i	0.647362	+	0.747095i	0.980658	−	0.195727i	$-0.0627066\pi$
$733$	17.5266	+	20.2268i	0.647362	+	0.747095i	−0.333297	+	0.942822i	$0.608161\pi$
$734$	28.2248	−	8.28756i	1.04180	−	0.305899i
$735$	39.5967			1.46055
$736$		0			0
$737$	5.52786			0.203621
$738$	16.9909	−	4.98898i	0.625444	−	0.183647i
$739$	−32.2063	−	37.1680i	−1.18473	−	1.36725i	−0.914568	−	0.404432i	$-0.867469\pi$
$739$	−32.2063	−	37.1680i	−1.18473	−	1.36725i	−0.270159	−	0.962816i	$-0.587076\pi$
$740$	−5.44471	+	3.49910i	−0.200151	+	0.128630i
$741$	1.90935	+	13.2798i	0.0701419	+	0.487847i
$742$	−14.2544	−	9.16077i	−0.523297	−	0.336302i
$743$	0.363649	−	0.796281i	0.0133410	−	0.0292127i	−0.902844	−	0.429968i	$-0.858525\pi$
$743$	0.363649	−	0.796281i	0.0133410	−	0.0292127i	0.916185	+	0.400755i	$0.131252\pi$
$744$	21.9647	−	25.3486i	0.805265	−	0.929325i
$745$	−5.47516	+	38.0805i	−0.200594	+	1.39516i
$746$	3.83680	+	8.40142i	0.140475	+	0.307598i
$747$	25.3998	+	7.45806i	0.929331	+	0.272876i
$748$	2.37200	+	0.696481i	0.0867288	+	0.0254659i
$749$	6.88907	+	15.0850i	0.251721	+	0.551193i
$750$	−0.786697	+	5.47160i	−0.0287261	+	0.199795i
$751$	29.0501	−	33.5256i	1.06005	−	1.22337i	0.0861772	−	0.996280i	$-0.472535\pi$
$751$	29.0501	−	33.5256i	1.06005	−	1.22337i	0.973875	−	0.227085i	$-0.0729197\pi$
$752$	−4.50896	+	9.87324i	−0.164425	+	0.360040i
$753$	29.5487	+	18.9898i	1.07681	+	0.692027i
$754$	−2.07243	−	14.4141i	−0.0754735	−	0.524930i
$755$	0.642661	−	0.413013i	0.0233888	−	0.0150311i
$756$	−1.11864	−	1.29097i	−0.0406844	−	0.0469523i
$757$	45.6687	−	13.4096i	1.65986	−	0.487379i	0.688548	−	0.725191i	$-0.258249\pi$
$757$	45.6687	−	13.4096i	1.65986	−	0.487379i	0.971311	+	0.237813i	$0.0764304\pi$
$758$	32.9443			1.19659
$759$		0			0
$760$	14.4721			0.524960
$761$	15.6445	−	4.59364i	0.567112	−	0.166519i	0.0144073	−	0.999896i	$-0.495414\pi$
$761$	15.6445	−	4.59364i	0.567112	−	0.166519i	0.552705	+	0.833377i	$0.313596\pi$
$762$	−49.0641	−	56.6230i	−1.77741	−	2.05124i
$763$		0			0
$764$	0.335960	+	2.33665i	0.0121546	+	0.0845371i
$765$	−28.5089	−	18.3215i	−1.03074	−	0.662416i
$766$	−16.7664	+	36.7134i	−0.605796	+	1.32651i
$767$	4.85671	−	5.60495i	0.175366	−	0.202383i
$768$	−4.31587	+	30.0176i	−0.155736	+	1.08317i
$769$	7.11382	+	15.5771i	0.256531	+	0.561724i	0.993451	−	0.114255i	$-0.0364481\pi$
$769$	7.11382	+	15.5771i	0.256531	+	0.561724i	−0.736921	+	0.675979i	$0.763721\pi$
$770$	−4.74399	−	1.39296i	−0.170962	−	0.0501989i
$771$	−3.15846	−	0.927406i	−0.113749	−	0.0333997i
$772$	−2.03962	−	4.46614i	−0.0734074	−	0.160740i
$773$	2.05960	−	14.3248i	0.0740787	−	0.515228i	−0.918671	−	0.395025i	$-0.870736\pi$
$773$	2.05960	−	14.3248i	0.0740787	−	0.515228i	0.992749	−	0.120204i	$-0.0383548\pi$
$774$		0			0
$775$	−15.2491	+	33.3910i	−0.547765	+	1.19944i
$776$	8.07330	+	5.18839i	0.289815	+	0.186252i
$777$	1.27290	+	8.85323i	0.0456651	+	0.317608i
$778$	−46.9227	+	30.1554i	−1.68226	+	1.08112i
$779$	7.16697	+	8.27113i	0.256783	+	0.296344i
$780$	12.8729	−	3.77984i	0.460926	−	0.135340i
$781$	−5.93112			−0.212232
$782$		0			0
$783$	6.70820			0.239732
$784$	−25.4863	+	7.48347i	−0.910227	+	0.267267i
$785$	32.6700	+	37.7032i	1.16604	+	1.34569i
$786$	−16.1066	+	10.3511i	−0.574502	+	0.369210i
$787$	−7.31732	−	50.8931i	−0.260834	−	1.81414i	−0.526610	−	0.850107i	$-0.676537\pi$
$787$	−7.31732	−	50.8931i	−0.260834	−	1.81414i	0.265776	−	0.964035i	$-0.414372\pi$
$788$	3.88494	+	2.49670i	0.138395	+	0.0889412i
$789$	−13.8817	+	30.3966i	−0.494201	+	1.08215i
$790$	−23.8112	+	27.4796i	−0.847164	+	0.977679i
$791$	2.32837	−	16.1942i	0.0827872	−	0.575798i
$792$	−1.41923	−	3.10767i	−0.0504300	−	0.110426i
$793$	−31.5029	−	9.25007i	−1.11870	−	0.328480i
$794$	3.75145	+	1.10153i	0.133134	+	0.0390917i
$795$	25.4670	+	55.7649i	0.903221	+	1.97778i
$796$	2.26118	−	15.7268i	0.0801452	−	0.557422i
$797$	−6.78480	+	7.83008i	−0.240330	+	0.277356i	−0.863082	−	0.505064i	$-0.831469\pi$
$797$	−6.78480	+	7.83008i	−0.240330	+	0.277356i	0.622752	+	0.782419i	$0.286015\pi$
$798$	−3.71558	+	8.13600i	−0.131530	+	0.288011i
$799$	9.84957	+	6.32993i	0.348453	+	0.223937i
$800$	−2.63376	−	18.3182i	−0.0931175	−	0.647646i
$801$	−2.57064	+	1.65205i	−0.0908292	+	0.0583724i
$802$	8.66778	+	10.0032i	0.306070	+	0.353224i
$803$	11.3409	−	3.32998i	0.400211	−	0.117513i
$804$	−10.0000			−0.352673
$805$		0			0
$806$	32.5623			1.14696
$807$	−21.3354	+	6.26462i	−0.751040	+	0.220525i
$808$	6.54861	+	7.55750i	0.230379	+	0.265872i
$809$	40.2864	−	25.8905i	1.41639	−	0.910262i	0.416395	−	0.909184i	$-0.363293\pi$
$809$	40.2864	−	25.8905i	1.41639	−	0.910262i	0.999999	−	0.00107784i	$-0.000343088\pi$
$810$	8.19687	+	57.0105i	0.288009	+	2.00314i
$811$	−46.8178	−	30.0880i	−1.64400	−	1.05653i	−0.937008	−	0.349308i	$-0.886417\pi$
$811$	−46.8178	−	30.0880i	−1.64400	−	1.05653i	−0.706989	−	0.707225i	$-0.749947\pi$
$812$	0.952046	−	2.08469i	0.0334103	−	0.0731583i
$813$	−11.7145	+	13.5193i	−0.410846	+	0.474141i
$814$	−0.569259	+	3.95929i	−0.0199525	+	0.138773i
$815$	13.7605	+	30.1312i	0.482008	+	1.05545i
$816$	54.5307	+	16.0117i	1.90896	+	0.560520i
$817$		0			0
$818$	15.7020	+	34.3826i	0.549008	+	1.20216i
$819$	1.05546	−	7.34092i	0.0368809	−	0.256512i
$820$	7.16697	−	8.27113i	0.250282	−	0.288840i
$821$	−8.74687	+	19.1530i	−0.305268	+	0.668443i	−0.998640	−	0.0521365i	$-0.983397\pi$
$821$	−8.74687	+	19.1530i	−0.305268	+	0.668443i	0.693372	+	0.720580i	$0.256124\pi$
$822$	−42.2723	−	27.1668i	−1.47442	−	0.947550i
$823$	−3.91950	−	27.2607i	−0.136625	−	0.950248i	−0.936646	−	0.350276i	$-0.886088\pi$
$823$	−3.91950	−	27.2607i	−0.136625	−	0.950248i	0.800021	−	0.599972i	$-0.204821\pi$
$824$	34.1990	−	21.9784i	1.19138	−	0.765653i
$825$	6.12133	+	7.06439i	0.213117	+	0.245950i
$826$	4.74399	−	1.39296i	0.165065	−	0.0484674i
$827$	10.4721			0.364152			0.182076	−	0.983284i	$-0.441718\pi$
$827$	10.4721			0.364152			0.182076	+	0.983284i	$0.441718\pi$
$828$		0			0
$829$	−40.2492			−1.39791			−0.698957	−	0.715164i	$-0.746352\pi$
$829$	−40.2492			−1.39791			−0.698957	+	0.715164i	$0.746352\pi$
$830$	66.4976	−	19.5255i	2.30817	−	0.677739i
$831$	−9.55884	−	11.0315i	−0.331592	−	0.382678i
$832$	10.6908	−	6.87057i	0.370638	−	0.238194i
$833$	4.07767	+	28.3608i	0.141283	+	0.982645i
$834$	−8.24292	−	5.29740i	−0.285429	−	0.183434i
$835$	−14.0778	+	30.8261i	−0.487183	+	1.06678i
$836$	−0.618367	+	0.713633i	−0.0213867	+	0.0246815i
$837$	−2.13472	+	14.8473i	−0.0737868	+	0.513199i
$838$	21.1167	+	46.2392i	0.729465	+	1.59731i
$839$	0.839929	+	0.246625i	0.0289976	+	0.00851445i	0.296199	−	0.955126i	$-0.404281\pi$
$839$	0.839929	+	0.246625i	0.0289976	+	0.00851445i	−0.267202	+	0.963641i	$0.586099\pi$
$840$	−19.1899	−	5.63465i	−0.662113	−	0.194414i
$841$	−8.30830	−	18.1926i	−0.286493	−	0.627332i
$842$	−5.45929	+	37.9702i	−0.188140	+	1.30854i
$843$	19.3817	−	22.3677i	0.667543	−	0.770386i
$844$	0.877131	−	1.92065i	0.0301921	−	0.0661114i
$845$	10.8894	+	6.99820i	0.374607	+	0.240745i
$846$	1.02980	+	7.16242i	0.0354052	+	0.246249i
$847$	10.8315	−	6.96096i	0.372174	−	0.239181i
$848$	−26.9309	−	31.0799i	−0.924811	−	1.06729i
$849$	−30.6629	+	9.00345i	−1.05235	+	0.308998i
$850$	−46.3607			−1.59016
$851$		0			0
$852$	10.7295			0.367586
$853$	35.9008	−	10.5414i	1.22922	−	0.360931i	0.398264	−	0.917271i	$-0.369613\pi$
$853$	35.9008	−	10.5414i	1.22922	−	0.360931i	0.830955	+	0.556339i	$0.187795\pi$
$854$	−14.3339	−	16.5423i	−0.490498	−	0.566064i
$855$	10.8894	−	6.99820i	0.372410	−	0.239333i
$856$	4.26945	+	29.6946i	0.145927	+	1.01494i
$857$	−6.28596	−	4.03974i	−0.214724	−	0.137995i	0.428858	−	0.903372i	$-0.358916\pi$
$857$	−6.28596	−	4.03974i	−0.214724	−	0.137995i	−0.643582	+	0.765377i	$0.722553\pi$
$858$	3.44454	−	7.54248i	0.117595	−	0.257496i
$859$	2.15567	−	2.48777i	0.0735504	−	0.0848817i	−0.717782	−	0.696268i	$-0.754842\pi$
$859$	2.15567	−	2.48777i	0.0735504	−	0.0848817i	0.791332	+	0.611386i	$0.209388\pi$
$860$		0			0
$861$	−6.28299	−	13.7578i	−0.214124	−	0.468866i
$862$	−41.0978	−	12.0674i	−1.39980	−	0.411017i
$863$	−43.6963	−	12.8304i	−1.48744	−	0.436751i	−0.565716	−	0.824600i	$-0.691400\pi$
$863$	−43.6963	−	12.8304i	−1.48744	−	0.436751i	−0.921723	+	0.387849i	$0.873218\pi$
$864$	−3.14150	−	6.87892i	−0.106876	−	0.234025i
$865$	2.32837	−	16.1942i	0.0791669	−	0.550618i
$866$	42.5746	−	49.1337i	1.44674	−	1.66963i
$867$	9.67576	−	21.1870i	0.328606	−	0.719547i
$868$	4.31110	+	2.77057i	0.146328	+	0.0940394i
$869$	0.754973	+	5.25095i	0.0256107	+	0.178126i
$870$	−29.5487	+	18.9898i	−1.00179	+	0.643814i
$871$	14.2159	+	16.4060i	0.481686	+	0.555895i
$872$		0			0
$873$	8.58359			0.290511
$874$		0			0
$875$	1.88854			0.0638444
$876$	−20.5158	+	6.02400i	−0.693166	+	0.203532i
$877$	18.0269	+	20.8042i	0.608726	+	0.702507i	0.973525	−	0.228579i	$-0.0734080\pi$
$877$	18.0269	+	20.8042i	0.608726	+	0.702507i	−0.364800	+	0.931086i	$0.618863\pi$
$878$	7.20307	−	4.62913i	0.243092	−	0.156226i
$879$	3.33250	+	23.1781i	0.112403	+	0.781777i
$880$	−10.0950	−	6.48769i	−0.340304	−	0.218700i
$881$	9.06421	−	19.8479i	0.305381	−	0.668691i	−0.693266	−	0.720681i	$-0.743829\pi$
$881$	9.06421	−	19.8479i	0.305381	−	0.668691i	0.998648	+	0.0519899i	$0.0165564\pi$
$882$	−11.5964	+	13.3830i	−0.390471	+	0.450628i
$883$	−0.569259	+	3.95929i	−0.0191571	+	0.133241i	−0.997155	−	0.0753718i	$-0.975986\pi$
$883$	−0.569259	+	3.95929i	−0.0191571	+	0.133241i	0.977998	+	0.208612i	$0.0668947\pi$
$884$	4.03293	+	8.83089i	0.135642	+	0.297015i
$885$	−17.1639	−	5.03979i	−0.576959	−	0.169411i
$886$	−3.29844	−	0.968510i	−0.110813	−	0.0325377i
$887$	−14.5681	−	31.8998i	−0.489150	−	1.07109i	−0.979845	−	0.199758i	$-0.935984\pi$
$887$	−14.5681	−	31.8998i	−0.489150	−	1.07109i	0.490695	−	0.871331i	$-0.336743\pi$
$888$	−2.30270	+	16.0156i	−0.0772736	+	0.537450i
$889$	−16.7623	+	19.3447i	−0.562190	+	0.648801i
$890$	−3.32332	+	7.27706i	−0.111398	+	0.243927i
$891$	7.06927	+	4.54314i	0.236829	+	0.152201i
$892$	−0.351822	−	2.44697i	−0.0117799	−	0.0819307i
$893$	−3.76220	+	2.41782i	−0.125897	+	0.0809092i
$894$	−28.1676	−	32.5072i	−0.942066	−	1.08720i
$895$	−39.4588	+	11.5861i	−1.31896	+	0.387282i
$896$	16.8328			0.562345
$897$		0			0
$898$	−4.76393			−0.158974
$899$	−19.3094	+	5.66976i	−0.644005	+	0.189097i
$900$	−4.42943	−	5.11184i	−0.147648	−	0.170395i
$901$	−37.3186	+	23.9832i	−1.24326	+	0.798996i
$902$	−0.962608	−	6.69508i	−0.0320513	−	0.222922i
$903$		0			0
$904$	12.2949	−	26.9221i	0.408923	−	0.895417i
$905$	−31.0511	+	35.8349i	−1.03217	+	1.19119i
$906$	−0.121551	+	0.845408i	−0.00403827	+	0.0280868i
$907$	16.7201	+	36.6120i	0.555183	+	1.21568i	0.954319	+	0.298789i	$0.0965828\pi$
$907$	16.7201	+	36.6120i	0.555183	+	1.21568i	−0.399136	+	0.916892i	$0.630690\pi$
$908$	−6.03693	−	1.77260i	−0.200343	−	0.0588259i
$909$	8.58197	+	2.51989i	0.284646	+	0.0835796i
$910$	−8.06587	−	17.6618i	−0.267381	−	0.585482i
$911$	4.45516	−	30.9863i	0.147606	−	1.02662i	−0.772517	−	0.634994i	$-0.781003\pi$
$911$	4.45516	−	30.9863i	0.147606	−	1.02662i	0.920123	−	0.391629i	$-0.128088\pi$
$912$	−14.2159	+	16.4060i	−0.470734	+	0.543256i
$913$	4.20045	−	9.19770i	0.139015	−	0.304400i
$914$	−47.8108	−	30.7261i	−1.58144	−	1.01633i
$915$	11.2704	+	78.3874i	0.372588	+	2.59141i
$916$	−6.23908	+	4.00961i	−0.206145	+	0.132481i
$917$	4.28346	+	4.94337i	0.141452	+	0.163245i
$918$	−18.1769	+	5.33722i	−0.599927	+	0.176154i
$919$	0.875388			0.0288764			0.0144382	−	0.999896i	$-0.495404\pi$
$919$	0.875388			0.0288764			0.0144382	+	0.999896i	$0.495404\pi$
$920$		0			0
$921$	41.3050			1.36104
$922$	11.6004	−	3.40619i	0.382040	−	0.112177i
$923$	−15.2529	−	17.6028i	−0.502055	−	0.579402i
$924$	1.09780	−	0.705510i	0.0361148	−	0.0232096i
$925$	−2.52014	−	17.5280i	−0.0828617	−	0.576316i
$926$	27.2235	+	17.4955i	0.894621	+	0.574938i
$927$	15.1048	−	33.0748i	0.496106	−	1.08632i
$928$	6.64415	−	7.66776i	0.218105	−	0.251706i
$929$	5.96929	−	41.5173i	0.195846	−	1.36214i	−0.620332	−	0.784339i	$-0.713002\pi$
$929$	5.96929	−	41.5173i	0.195846	−	1.36214i	0.816178	−	0.577800i	$-0.196089\pi$
$930$	−32.6271	−	71.4434i	−1.06989	−	2.34272i
$931$	−10.5010	−	3.08336i	−0.344155	−	0.101053i
$932$	9.17497	+	2.69401i	0.300536	+	0.0882453i
$933$	−8.52758	−	18.6728i	−0.279181	−	0.611320i
$934$	−7.12555	+	49.5593i	−0.233155	+	1.62163i
$935$	−8.47670	+	9.78263i	−0.277218	+	0.319926i
$936$	5.57338	−	12.2040i	0.182172	−	0.398900i
$937$	9.94333	+	6.39019i	0.324834	+	0.208758i	0.692886	−	0.721047i	$-0.256339\pi$
$937$	9.94333	+	6.39019i	0.324834	+	0.208758i	−0.368052	+	0.929805i	$0.619975\pi$
$938$	2.05960	+	14.3248i	0.0672483	+	0.467722i
$939$	−38.3005	+	24.6142i	−1.24989	+	0.803255i
$940$	2.92863	+	3.37981i	0.0955213	+	0.110237i
$941$	23.6539	−	6.94541i	0.771094	−	0.226414i	0.127560	−	0.991831i	$-0.459285\pi$
$941$	23.6539	−	6.94541i	0.771094	−	0.226414i	0.643534	+	0.765417i	$0.277467\pi$
$942$	−55.7771			−1.81732
$943$		0			0
$944$	12.0000			0.390567
$945$	8.58197	−	2.51989i	0.279171	−	0.0819721i
$946$		0			0
$947$	−27.9131	+	17.9386i	−0.907053	+	0.582928i	−0.908874	−	0.417071i	$-0.863057\pi$
$947$	−27.9131	+	17.9386i	−0.907053	+	0.582928i	0.00182090	+	0.999998i	$0.499420\pi$
$948$	−1.36576	−	9.49907i	−0.0443578	−	0.308515i
$949$	39.0480	+	25.0946i	1.26755	+	0.814605i
$950$	7.35625	−	16.1079i	0.238668	−	0.522611i
$951$	2.07406	−	2.39360i	0.0672562	−	0.0776177i
$952$	2.05960	−	14.3248i	0.0667520	−	0.464270i
$953$	4.78885	+	10.4861i	0.155126	+	0.339679i	0.971199	−	0.238271i	$-0.0765805\pi$
$953$	4.78885	+	10.4861i	0.155126	+	0.339679i	−0.816073	+	0.577949i	$0.803853\pi$
$954$	−26.3059	−	7.72409i	−0.851683	−	0.250077i
$955$	−11.8600	−	3.48241i	−0.383780	−	0.112688i
$956$	4.68194	+	10.2520i	0.151425	+	0.331574i
$957$	−0.729308	+	5.07245i	−0.0235752	+	0.163969i
$958$	−18.6453	+	21.5178i	−0.602402	+	0.695209i
$959$	−7.13151	+	15.6158i	−0.230288	+	0.504261i
$960$	−25.7865	−	16.5720i	−0.832256	−	0.534858i
$961$	−1.99241	−	13.8575i	−0.0642712	−	0.447016i
$962$	−13.2146	+	8.49250i	−0.426055	+	0.273809i
$963$	17.5718	+	20.2789i	0.566242	+	0.653478i
$964$	−10.1549	+	2.98174i	−0.327067	+	0.0960355i
$965$	25.7082			0.827576
$966$		0			0
$967$	−39.5410			−1.27155			−0.635777	−	0.771873i	$-0.719320\pi$
$967$	−39.5410			−1.27155			−0.635777	+	0.771873i	$0.719320\pi$
$968$	22.3483	−	6.56206i	0.718302	−	0.210913i
$969$	15.3345	+	17.6969i	0.492615	+	0.568508i
$970$	18.9048	−	12.1494i	0.606995	−	0.390092i
$971$	−1.07133	−	7.45124i	−0.0343805	−	0.239122i	0.965384	−	0.260834i	$-0.0839974\pi$
$971$	−1.07133	−	7.45124i	−0.0343805	−	0.239122i	−0.999764	+	0.0217120i	$0.993088\pi$
$972$	−9.30067	−	5.97718i	−0.298319	−	0.191718i
$973$	−1.39061	+	3.04502i	−0.0445810	+	0.0976187i
$974$	−1.36877	+	1.57965i	−0.0438582	+	0.0506151i
$975$	−5.22412	+	36.3346i	−0.167306	+	1.16364i
$976$	−22.0688	−	48.3238i	−0.706404	−	1.54681i
$977$	52.4387	+	15.3974i	1.67766	+	0.492606i	0.975608	−	0.219519i	$-0.0704487\pi$
$977$	52.4387	+	15.3974i	1.67766	+	0.492606i	0.702053	+	0.712124i	$0.252267\pi$
$978$	−35.5343	−	10.4338i	−1.13626	−	0.333636i
$979$	0.484866	+	1.06171i	0.0154964	+	0.0339323i
$980$	−1.55753	+	10.8329i	−0.0497535	+	0.346043i
$981$		0			0
$982$	−26.6526	+	58.3611i	−0.850520	+	1.86238i
$983$	−26.5229	−	17.0453i	−0.845950	−	0.543659i	0.0443591	−	0.999016i	$-0.485875\pi$
$983$	−26.5229	−	17.0453i	−0.845950	−	0.543659i	−0.890309	+	0.455357i	$0.849512\pi$
$984$	−3.89383	−	27.0822i	−0.124131	−	0.863349i
$985$	−20.3418	+	13.0729i	−0.648144	+	0.416537i
$986$	−16.6442	−	19.2084i	−0.530060	−	0.611721i
$987$	5.92999	−	1.74120i	0.188754	−	0.0554231i
$988$	−3.70820			−0.117974
$989$		0			0
$990$	−8.00000			−0.254257
$991$	−23.0278	+	6.76158i	−0.731503	+	0.214789i	−0.626212	−	0.779653i	$-0.715396\pi$
$991$	−23.0278	+	6.76158i	−0.731503	+	0.214789i	−0.105291	+	0.994441i	$0.533577\pi$
$992$	14.8568	+	17.1456i	0.471703	+	0.544374i
$993$	21.9195	−	14.0868i	0.695593	−	0.447031i
$994$	−2.20985	−	15.3698i	−0.0700920	−	0.487501i
$995$	69.9868	+	44.9778i	2.21873	+	1.42589i
$996$	−7.59869	+	16.6388i	−0.240774	+	0.527221i
$997$	24.1204	−	27.8364i	0.763900	−	0.881587i	−0.231938	−	0.972731i	$-0.574507\pi$
$997$	24.1204	−	27.8364i	0.763900	−	0.881587i	0.995838	+	0.0911434i	$0.0290522\pi$
$998$	7.53173	−	52.3843i	0.238413	−	1.65820i
$999$	−3.00597	−	6.58216i	−0.0951047	−	0.208250i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.o.170.2		20
23.2	even	11	inner	529.2.c.o.266.2		20
23.3	even	11	inner	529.2.c.o.334.1		20
23.4	even	11	inner	529.2.c.o.466.1		20
23.5	odd	22		529.2.c.n.501.2		20
23.6	even	11	inner	529.2.c.o.255.1		20
23.7	odd	22		529.2.c.n.487.1		20
23.8	even	11		23.2.a.a.1.1	✓	2
23.9	even	11	inner	529.2.c.o.177.2		20
23.10	odd	22		529.2.c.n.118.2		20
23.11	odd	22		529.2.c.n.399.2		20
23.12	even	11	inner	529.2.c.o.399.2		20
23.13	even	11	inner	529.2.c.o.118.2		20
23.14	odd	22		529.2.c.n.177.2		20
23.15	odd	22		529.2.a.a.1.1		2
23.16	even	11	inner	529.2.c.o.487.1		20
23.17	odd	22		529.2.c.n.255.1		20
23.18	even	11	inner	529.2.c.o.501.2		20
23.19	odd	22		529.2.c.n.466.1		20
23.20	odd	22		529.2.c.n.334.1		20
23.21	odd	22		529.2.c.n.266.2		20
23.22	odd	2		529.2.c.n.170.2		20
69.8	odd	22		207.2.a.d.1.2		2
69.38	even	22		4761.2.a.w.1.2		2
92.15	even	22		8464.2.a.bb.1.1		2
92.31	odd	22		368.2.a.h.1.1		2
115.8	odd	44		575.2.b.d.24.4		4
115.54	even	22		575.2.a.f.1.2		2
115.77	odd	44		575.2.b.d.24.1		4
161.146	odd	22		1127.2.a.c.1.1		2
184.77	even	22		1472.2.a.t.1.1		2
184.123	odd	22		1472.2.a.s.1.2		2
253.54	odd	22		2783.2.a.c.1.2		2
276.215	even	22		3312.2.a.ba.1.2		2
299.77	even	22		3887.2.a.i.1.2		2
345.284	odd	22		5175.2.a.be.1.1		2
391.169	even	22		6647.2.a.b.1.1		2
437.284	odd	22		8303.2.a.e.1.2		2
460.399	odd	22		9200.2.a.bt.1.2		2

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.a.a.1.1	✓	2	23.8	even	11
207.2.a.d.1.2		2	69.8	odd	22
368.2.a.h.1.1		2	92.31	odd	22
529.2.a.a.1.1		2	23.15	odd	22
529.2.c.n.118.2		20	23.10	odd	22
529.2.c.n.170.2		20	23.22	odd	2
529.2.c.n.177.2		20	23.14	odd	22
529.2.c.n.255.1		20	23.17	odd	22
529.2.c.n.266.2		20	23.21	odd	22
529.2.c.n.334.1		20	23.20	odd	22
529.2.c.n.399.2		20	23.11	odd	22
529.2.c.n.466.1		20	23.19	odd	22
529.2.c.n.487.1		20	23.7	odd	22
529.2.c.n.501.2		20	23.5	odd	22
529.2.c.o.118.2		20	23.13	even	11	inner
529.2.c.o.170.2		20	1.1	even	1	trivial
529.2.c.o.177.2		20	23.9	even	11	inner
529.2.c.o.255.1		20	23.6	even	11	inner
529.2.c.o.266.2		20	23.2	even	11	inner
529.2.c.o.334.1		20	23.3	even	11	inner
529.2.c.o.399.2		20	23.12	even	11	inner
529.2.c.o.466.1		20	23.4	even	11	inner
529.2.c.o.487.1		20	23.16	even	11	inner
529.2.c.o.501.2		20	23.18	even	11	inner
575.2.a.f.1.2		2	115.54	even	22
575.2.b.d.24.1		4	115.77	odd	44
575.2.b.d.24.4		4	115.8	odd	44
1127.2.a.c.1.1		2	161.146	odd	22
1472.2.a.s.1.2		2	184.123	odd	22
1472.2.a.t.1.1		2	184.77	even	22
2783.2.a.c.1.2		2	253.54	odd	22
3312.2.a.ba.1.2		2	276.215	even	22
3887.2.a.i.1.2		2	299.77	even	22
4761.2.a.w.1.2		2	69.38	even	22
5175.2.a.be.1.1		2	345.284	odd	22
6647.2.a.b.1.1		2	391.169	even	22
8303.2.a.e.1.2		2	437.284	odd	22
8464.2.a.bb.1.1		2	92.15	even	22
9200.2.a.bt.1.2		2	460.399	odd	22

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:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(1.55249 - 0.455853i) q^{2} +(-1.46431 - 1.68991i) q^{3} +(0.519923 - 0.334134i) q^{4} +(0.460540 + 3.20313i) q^{5} +(-3.04368 - 1.95606i) q^{6} +(-0.513481 + 1.12437i) q^{7} +(-1.46431 + 1.68991i) q^{8} +(-0.284630 + 1.97964i) q^{9} +O(q^{10})\)	\(q+(1.55249 - 0.455853i) q^{2} +(-1.46431 - 1.68991i) q^{3} +(0.519923 - 0.334134i) q^{4} +(0.460540 + 3.20313i) q^{5} +(-3.04368 - 1.95606i) q^{6} +(-0.513481 + 1.12437i) q^{7} +(-1.46431 + 1.68991i) q^{8} +(-0.284630 + 1.97964i) q^{9} +(2.17514 + 4.76289i) q^{10} +(0.732987 + 0.215225i) q^{11} +(-1.32599 - 0.389345i) q^{12} +(1.24625 + 2.72890i) q^{13} +(-0.284630 + 1.97964i) q^{14} +(4.73862 - 5.46866i) q^{15} +(-2.01647 + 4.41545i) q^{16} +(4.40486 + 2.83083i) q^{17} +(0.460540 + 3.20313i) q^{18} +(-1.68251 + 1.08128i) q^{19} +(1.30972 + 1.51150i) q^{20} +(2.65197 - 0.778690i) q^{21} +1.23607 q^{22} +5.00000 q^{24} +(-5.25048 + 1.54168i) q^{25} +(3.17876 + 3.66849i) q^{26} +(-1.88110 + 1.20891i) q^{27} +(0.108719 + 0.756156i) q^{28} +(-2.52376 - 1.62192i) q^{29} +(4.86376 - 10.6502i) q^{30} +(4.39294 - 5.06972i) q^{31} +(-0.481304 + 3.34754i) q^{32} +(-0.709614 - 1.55384i) q^{33} +(8.12895 + 2.38688i) q^{34} +(-3.83797 - 1.12693i) q^{35} +(0.513481 + 1.12437i) q^{36} +(-0.460540 + 3.20313i) q^{37} +(-2.11917 + 2.44566i) q^{38} +(2.78669 - 6.10200i) q^{39} +(-6.08737 - 3.91211i) q^{40} +(-0.778766 - 5.41644i) q^{41} +(3.76220 - 2.41782i) q^{42} +(0.453011 - 0.133016i) q^{44} -6.47214 q^{45} +2.23607 q^{47} +(10.4144 - 3.05795i) q^{48} +(3.58349 + 4.13556i) q^{49} +(-7.44854 + 4.78689i) q^{50} +(-1.66625 - 11.5890i) q^{51} +(1.55977 + 1.00240i) q^{52} +(-3.51945 + 7.70653i) q^{53} +(-2.36931 + 2.73433i) q^{54} +(-0.351822 + 2.44697i) q^{55} +(-1.14818 - 2.51416i) q^{56} +(4.29098 + 1.25995i) q^{57} +(-4.65748 - 1.36756i) q^{58} +(-1.02696 - 2.24873i) q^{59} +(0.636451 - 4.42662i) q^{60} +(-7.16697 + 8.27113i) q^{61} +(4.50896 - 9.87324i) q^{62} +(-2.07969 - 1.33654i) q^{63} +(-0.602855 - 4.19295i) q^{64} +(-8.16706 + 5.24865i) q^{65} +(-1.80999 - 2.08884i) q^{66} +(6.94296 - 2.03864i) q^{67} +3.23607 q^{68} -6.47214 q^{70} +(-7.44944 + 2.18735i) q^{71} +(-2.92863 - 3.37981i) q^{72} +(13.0160 - 8.36487i) q^{73} +(0.745170 + 5.18277i) q^{74} +(10.2936 + 6.61532i) q^{75} +(-0.513481 + 1.12437i) q^{76} +(-0.618367 + 0.713633i) q^{77} +(1.54470 - 10.7436i) q^{78} +(2.88475 + 6.31673i) q^{79} +(-15.0719 - 4.42551i) q^{80} +(10.5544 + 3.09906i) q^{81} +(-3.67813 - 8.05397i) q^{82} +(1.88369 - 13.1013i) q^{83} +(1.11864 - 1.29097i) q^{84} +(-7.03890 + 15.4131i) q^{85} +(0.954677 + 6.63992i) q^{87} +(-1.43703 + 0.923525i) q^{88} +(1.00054 + 1.15468i) q^{89} +(-10.0479 + 2.95034i) q^{90} -3.70820 q^{91} -15.0000 q^{93} +(3.47148 - 1.01932i) q^{94} +(-4.23835 - 4.89131i) q^{95} +(6.36182 - 4.08849i) q^{96} +(-0.610786 - 4.24811i) q^{97} +(7.44854 + 4.78689i) q^{98} +(-0.634698 + 1.38979i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + q^{2} + q^{4} + 2 q^{5} + 5 q^{6} - 2 q^{7} - 4 q^{9}+O(q^{10}) \) 20 * q + q^2 + q^4 + 2 * q^5 + 5 * q^6 - 2 * q^7 - 4 * q^9	\( 20 q + q^{2} + q^{4} + 2 q^{5} + 5 q^{6} - 2 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{11} - 5 q^{12} - 6 q^{13} - 4 q^{14} + 10 q^{15} + 3 q^{16} - 6 q^{17} + 2 q^{18} + 4 q^{19} + 4 q^{20} + 10 q^{21} - 20 q^{22} + 100 q^{24} - 2 q^{25} + 3 q^{26} + 6 q^{28} + 6 q^{29} - 10 q^{30} - 9 q^{32} - 10 q^{33} + 8 q^{34} - 8 q^{35} + 2 q^{36} - 2 q^{37} - 2 q^{38} + 10 q^{40} - 2 q^{41} - 8 q^{44} - 40 q^{45} + 15 q^{48} + 2 q^{49} + 11 q^{50} - 10 q^{51} + 3 q^{52} + 8 q^{53} - 5 q^{54} + 4 q^{55} + 10 q^{56} - 3 q^{58} - 4 q^{59} - 4 q^{61} - 15 q^{62} - 4 q^{63} - 4 q^{64} + 6 q^{65} - 10 q^{66} + 10 q^{67} + 20 q^{68} - 40 q^{70} - 20 q^{71} - 22 q^{73} + 6 q^{74} - 20 q^{75} - 2 q^{76} + 16 q^{77} + 15 q^{78} + 4 q^{79} - 18 q^{80} + 22 q^{81} + 11 q^{82} + 22 q^{83} - 10 q^{84} + 16 q^{85} - 10 q^{88} + 12 q^{89} - 12 q^{90} + 60 q^{91} - 300 q^{93} + 5 q^{94} - 4 q^{95} + 5 q^{96} - 22 q^{97} - 11 q^{98} + 12 q^{99}+O(q^{100}) \) 20 * q + q^2 + q^4 + 2 * q^5 + 5 * q^6 - 2 * q^7 - 4 * q^9 - 6 * q^10 + 6 * q^11 - 5 * q^12 - 6 * q^13 - 4 * q^14 + 10 * q^15 + 3 * q^16 - 6 * q^17 + 2 * q^18 + 4 * q^19 + 4 * q^20 + 10 * q^21 - 20 * q^22 + 100 * q^24 - 2 * q^25 + 3 * q^26 + 6 * q^28 + 6 * q^29 - 10 * q^30 - 9 * q^32 - 10 * q^33 + 8 * q^34 - 8 * q^35 + 2 * q^36 - 2 * q^37 - 2 * q^38 + 10 * q^40 - 2 * q^41 - 8 * q^44 - 40 * q^45 + 15 * q^48 + 2 * q^49 + 11 * q^50 - 10 * q^51 + 3 * q^52 + 8 * q^53 - 5 * q^54 + 4 * q^55 + 10 * q^56 - 3 * q^58 - 4 * q^59 - 4 * q^61 - 15 * q^62 - 4 * q^63 - 4 * q^64 + 6 * q^65 - 10 * q^66 + 10 * q^67 + 20 * q^68 - 40 * q^70 - 20 * q^71 - 22 * q^73 + 6 * q^74 - 20 * q^75 - 2 * q^76 + 16 * q^77 + 15 * q^78 + 4 * q^79 - 18 * q^80 + 22 * q^81 + 11 * q^82 + 22 * q^83 - 10 * q^84 + 16 * q^85 - 10 * q^88 + 12 * q^89 - 12 * q^90 + 60 * q^91 - 300 * q^93 + 5 * q^94 - 4 * q^95 + 5 * q^96 - 22 * q^97 - 11 * q^98 + 12 * q^99

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