LMFDB - Embedded newform 63.2.i.b.38.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [63,2,Mod(5,63)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(63, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([5, 5]))

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

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

chi := DirichletCharacter("63.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 63 = 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	63.i (of order $6$, degree $2$, 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:	$0.503057532734$
Analytic rank:	$0$
Dimension:	$10$
Relative dimension:	$5$ over $\Q(\zeta_{6})$
Coefficient field:	10.0.288778218147.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 $ x^10 - x^9 + 7x^8 - 4x^7 + 34x^6 - 19x^5 + 64x^4 - x^3 + 64x^2 - 21*x + 9
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			38.1
Root			$1.07065 + 1.85442i$ of defining polynomial
Character	$\chi$	$=$	63.38
Dual form			63.2.i.b.5.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-2.59354i q^{2} +(1.34151 + 1.09561i) q^{3} -4.72645 q^{4} +(0.626493 - 1.08512i) q^{5} +(2.84151 - 3.47925i) q^{6} +(-1.89735 + 1.84393i) q^{7} +7.07116i q^{8} +(0.599280 + 2.93953i) q^{9} +O(q^{10})$	\(q-2.59354i q^{2} +(1.34151 + 1.09561i) q^{3} -4.72645 q^{4} +(0.626493 - 1.08512i) q^{5} +(2.84151 - 3.47925i) q^{6} +(-1.89735 + 1.84393i) q^{7} +7.07116i q^{8} +(0.599280 + 2.93953i) q^{9} +(-2.81429 - 1.62483i) q^{10} +(-0.534126 + 0.308378i) q^{11} +(-6.34056 - 5.17834i) q^{12} +(1.06343 - 0.613974i) q^{13} +(4.78229 + 4.92086i) q^{14} +(2.02931 - 0.769301i) q^{15} +8.88643 q^{16} +(2.21501 - 3.83652i) q^{17} +(7.62380 - 1.55426i) q^{18} +(-1.64679 + 0.950775i) q^{19} +(-2.96109 + 5.12875i) q^{20} +(-4.56553 + 0.394883i) q^{21} +(0.799790 + 1.38528i) q^{22} +(-4.11267 - 2.37445i) q^{23} +(-7.74722 + 9.48600i) q^{24} +(1.71501 + 2.97049i) q^{25} +(-1.59237 - 2.75806i) q^{26} +(-2.41664 + 4.59998i) q^{27} +(8.96773 - 8.71522i) q^{28} +(-5.07629 - 2.93080i) q^{29} +(-1.99521 - 5.26309i) q^{30} -2.48089i q^{31} -8.90499i q^{32} +(-1.05440 - 0.171503i) q^{33} +(-9.95016 - 5.74473i) q^{34} +(0.812198 + 3.21405i) q^{35} +(-2.83247 - 13.8936i) q^{36} +(1.33217 + 2.30738i) q^{37} +(2.46587 + 4.27102i) q^{38} +(2.09928 + 0.341458i) q^{39} +(7.67303 + 4.43003i) q^{40} +(-2.09966 - 3.63671i) q^{41} +(1.02414 + 11.8409i) q^{42} +(-2.24637 + 3.89083i) q^{43} +(2.52452 - 1.45753i) q^{44} +(3.56518 + 1.19131i) q^{45} +(-6.15823 + 10.6664i) q^{46} +7.61476 q^{47} +(11.9212 + 9.73605i) q^{48} +(0.199880 - 6.99715i) q^{49} +(7.70409 - 4.44796i) q^{50} +(7.17478 - 2.71992i) q^{51} +(-5.02627 + 2.90192i) q^{52} +(-2.67782 - 1.54604i) q^{53} +(11.9302 + 6.26766i) q^{54} +0.772786i q^{55} +(-13.0387 - 13.4165i) q^{56} +(-3.25086 - 0.528768i) q^{57} +(-7.60114 + 13.1656i) q^{58} +3.56459 q^{59} +(-9.59142 + 3.63606i) q^{60} -14.4495i q^{61} -6.43428 q^{62} +(-6.55733 - 4.47230i) q^{63} -5.32259 q^{64} -1.53860i q^{65} +(-0.444799 + 2.73462i) q^{66} +13.6129 q^{67} +(-10.4692 + 18.1331i) q^{68} +(-2.91570 - 7.69121i) q^{69} +(8.33577 - 2.10647i) q^{70} +10.4095i q^{71} +(-20.7859 + 4.23760i) q^{72} +(9.95016 + 5.74473i) q^{73} +(5.98429 - 3.45503i) q^{74} +(-0.953796 + 5.86392i) q^{75} +(7.78348 - 4.49379i) q^{76} +(0.444799 - 1.56999i) q^{77} +(0.885586 - 5.44457i) q^{78} -4.03185 q^{79} +(5.56728 - 9.64281i) q^{80} +(-8.28173 + 3.52321i) q^{81} +(-9.43196 + 5.44554i) q^{82} +(-4.36775 + 7.56516i) q^{83} +(21.5787 - 1.86639i) q^{84} +(-2.77538 - 4.80710i) q^{85} +(10.0910 + 5.82605i) q^{86} +(-3.59887 - 9.49331i) q^{87} +(-2.18059 - 3.77689i) q^{88} +(0.811226 + 1.40508i) q^{89} +(3.08970 - 9.24645i) q^{90} +(-0.885586 + 3.12582i) q^{91} +(19.4383 + 11.2227i) q^{92} +(2.71808 - 3.32813i) q^{93} -19.7492i q^{94} +2.38261i q^{95} +(9.75639 - 11.9461i) q^{96} +(8.76527 + 5.06063i) q^{97} +(-18.1474 - 0.518397i) q^{98} +(-1.22658 - 1.38528i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9}+O(q^{10}) $ 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9	$ 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9} - 15 q^{10} - 12 q^{11} - 12 q^{12} - 6 q^{13} + 12 q^{14} - 3 q^{15} + 12 q^{16} + 12 q^{17} + 24 q^{18} + 3 q^{19} + 3 q^{20} - 9 q^{21} + 5 q^{22} - 15 q^{23} + 7 q^{25} - 3 q^{26} - 27 q^{27} + 2 q^{28} - 15 q^{29} + 6 q^{30} - 3 q^{34} + 15 q^{35} - 18 q^{36} + 6 q^{37} + 18 q^{38} + 18 q^{39} + 15 q^{40} + 9 q^{41} - 12 q^{42} + 3 q^{43} - 24 q^{44} + 30 q^{45} - 13 q^{46} + 30 q^{47} + 15 q^{48} + 4 q^{49} + 3 q^{50} + 21 q^{51} - 12 q^{52} + 9 q^{53} + 9 q^{54} - 30 q^{56} - 36 q^{57} + 8 q^{58} - 36 q^{59} - 48 q^{60} - 12 q^{62} - 15 q^{63} + 6 q^{64} - 39 q^{66} + 20 q^{67} - 27 q^{68} + 3 q^{69} + 6 q^{70} - 30 q^{72} + 3 q^{73} - 30 q^{74} + 6 q^{75} - 9 q^{76} + 39 q^{77} + 24 q^{78} - 40 q^{79} + 30 q^{80} + 15 q^{81} + 9 q^{82} + 15 q^{83} + 93 q^{84} + 18 q^{85} + 54 q^{86} + 6 q^{87} - 8 q^{88} - 24 q^{89} - 24 q^{90} - 24 q^{91} + 39 q^{92} + 36 q^{93} + 33 q^{96} - 6 q^{97} - 45 q^{98} + 21 q^{99}+O(q^{100}) $ 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9 - 15 * q^10 - 12 * q^11 - 12 * q^12 - 6 * q^13 + 12 * q^14 - 3 * q^15 + 12 * q^16 + 12 * q^17 + 24 * q^18 + 3 * q^19 + 3 * q^20 - 9 * q^21 + 5 * q^22 - 15 * q^23 + 7 * q^25 - 3 * q^26 - 27 * q^27 + 2 * q^28 - 15 * q^29 + 6 * q^30 - 3 * q^34 + 15 * q^35 - 18 * q^36 + 6 * q^37 + 18 * q^38 + 18 * q^39 + 15 * q^40 + 9 * q^41 - 12 * q^42 + 3 * q^43 - 24 * q^44 + 30 * q^45 - 13 * q^46 + 30 * q^47 + 15 * q^48 + 4 * q^49 + 3 * q^50 + 21 * q^51 - 12 * q^52 + 9 * q^53 + 9 * q^54 - 30 * q^56 - 36 * q^57 + 8 * q^58 - 36 * q^59 - 48 * q^60 - 12 * q^62 - 15 * q^63 + 6 * q^64 - 39 * q^66 + 20 * q^67 - 27 * q^68 + 3 * q^69 + 6 * q^70 - 30 * q^72 + 3 * q^73 - 30 * q^74 + 6 * q^75 - 9 * q^76 + 39 * q^77 + 24 * q^78 - 40 * q^79 + 30 * q^80 + 15 * q^81 + 9 * q^82 + 15 * q^83 + 93 * q^84 + 18 * q^85 + 54 * q^86 + 6 * q^87 - 8 * q^88 - 24 * q^89 - 24 * q^90 - 24 * q^91 + 39 * q^92 + 36 * q^93 + 33 * q^96 - 6 * q^97 - 45 * q^98 + 21 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/63\mathbb{Z}\right)^\times$.

$n$	$10$	$29$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$		−	2.59354i		−	1.83391i	−0.398991	−	0.916955i	$-0.630640\pi$
$2$		−	2.59354i		−	1.83391i	0.398991	−	0.916955i	$-0.369360\pi$
$3$	1.34151	+	1.09561i	0.774519	+	0.632550i
$3$	1.34151	+	1.09561i	0.774519	+	0.632550i
$4$	−4.72645			−2.36322
$5$	0.626493	−	1.08512i	0.280176	−	0.485279i	−0.691252	−	0.722614i	$-0.742941\pi$
$5$	0.626493	−	1.08512i	0.280176	−	0.485279i	0.971428	+	0.237335i	$0.0762738\pi$
$6$	2.84151	−	3.47925i	1.16004	−	1.42040i
$7$	−1.89735	+	1.84393i	−0.717131	+	0.696938i
$7$	−1.89735	+	1.84393i	−0.717131	+	0.696938i
$8$			7.07116i			2.50003i
$9$	0.599280	+	2.93953i	0.199760	+	0.979845i
$10$	−2.81429	−	1.62483i	−0.889958	−	0.513817i
$11$	−0.534126	+	0.308378i	−0.161045	+	0.0929794i	−0.578357	−	0.815784i	$-0.696306\pi$
$11$	−0.534126	+	0.308378i	−0.161045	+	0.0929794i	0.417311	+	0.908764i	$0.362972\pi$
$12$	−6.34056	−	5.17834i	−1.83036	−	1.49486i
$13$	1.06343	−	0.613974i	0.294944	−	0.170286i	−0.345226	−	0.938520i	$-0.612198\pi$
$13$	1.06343	−	0.613974i	0.294944	−	0.170286i	0.640169	+	0.768234i	$0.278864\pi$
$14$	4.78229	+	4.92086i	1.27812	+	1.31515i
$15$	2.02931	−	0.769301i	0.523965	−	0.198633i
$16$	8.88643			2.22161
$17$	2.21501	−	3.83652i	0.537220	−	0.930492i	−0.461833	−	0.886967i	$-0.652808\pi$
$17$	2.21501	−	3.83652i	0.537220	−	0.930492i	0.999052	−	0.0435249i	$-0.0138588\pi$
$18$	7.62380	−	1.55426i	1.79695	−	0.366342i
$19$	−1.64679	+	0.950775i	−0.377800	+	0.218123i	−0.676861	−	0.736111i	$-0.736660\pi$
$19$	−1.64679	+	0.950775i	−0.377800	+	0.218123i	0.299061	+	0.954234i	$0.403327\pi$
$20$	−2.96109	+	5.12875i	−0.662119	+	1.14682i
$21$	−4.56553	+	0.394883i	−0.996280	+	0.0861704i
$22$	0.799790	+	1.38528i	0.170516	+	0.295342i
$23$	−4.11267	−	2.37445i	−0.857550	−	0.495107i	0.00564111	−	0.999984i	$-0.498204\pi$
$23$	−4.11267	−	2.37445i	−0.857550	−	0.495107i	−0.863191	+	0.504877i	$0.831538\pi$
$24$	−7.74722	+	9.48600i	−1.58140	+	1.93632i
$25$	1.71501	+	2.97049i	0.343003	+	0.594098i
$26$	−1.59237	−	2.75806i	−0.312289	−	0.540900i
$27$	−2.41664	+	4.59998i	−0.465083	+	0.885267i
$28$	8.96773	−	8.71522i	1.69474	−	1.64702i
$29$	−5.07629	−	2.93080i	−0.942643	−	0.544235i	−0.0518553	−	0.998655i	$-0.516513\pi$
$29$	−5.07629	−	2.93080i	−0.942643	−	0.544235i	−0.890788	+	0.454419i	$0.849847\pi$
$30$	−1.99521	−	5.26309i	−0.364274	−	0.960905i
$31$		−	2.48089i		−	0.445580i	−0.974866	−	0.222790i	$-0.928484\pi$
$31$		−	2.48089i		−	0.445580i	0.974866	−	0.222790i	$-0.0715165\pi$
$32$		−	8.90499i		−	1.57419i
$33$	−1.05440	−	0.171503i	−0.183547	−	0.0298548i
$34$	−9.95016	−	5.74473i	−1.70644	−	0.985213i
$35$	0.812198	+	3.21405i	0.137287	+	0.543274i
$36$	−2.83247	−	13.8936i	−0.472078	−	2.31559i
$37$	1.33217	+	2.30738i	0.219007	+	0.379331i	0.954505	−	0.298196i	$-0.0963849\pi$
$37$	1.33217	+	2.30738i	0.219007	+	0.379331i	−0.735498	+	0.677527i	$0.763052\pi$
$38$	2.46587	+	4.27102i	0.400018	+	0.692851i
$39$	2.09928	+	0.341458i	0.336154	+	0.0546771i
$40$	7.67303	+	4.43003i	1.21321	+	0.700449i
$41$	−2.09966	−	3.63671i	−0.327911	−	0.567959i	0.654186	−	0.756334i	$-0.273011\pi$
$41$	−2.09966	−	3.63671i	−0.327911	−	0.567959i	−0.982097	+	0.188375i	$0.939678\pi$
$42$	1.02414	+	11.8409i	0.158029	+	1.82709i
$43$	−2.24637	+	3.89083i	−0.342568	+	0.593346i	−0.984909	−	0.173073i	$-0.944630\pi$
$43$	−2.24637	+	3.89083i	−0.342568	+	0.593346i	0.642340	+	0.766419i	$0.277964\pi$
$44$	2.52452	−	1.45753i	0.380586	−	0.219731i
$45$	3.56518	+	1.19131i	0.531466	+	0.177590i
$46$	−6.15823	+	10.6664i	−0.907981	+	1.57267i
$47$	7.61476			1.11073			0.555364	−	0.831608i	$-0.312579\pi$
$47$	7.61476			1.11073			0.555364	+	0.831608i	$0.312579\pi$
$48$	11.9212	+	9.73605i	1.72068	+	1.40528i
$49$	0.199880	−	6.99715i	0.0285543	−	0.999592i
$50$	7.70409	−	4.44796i	1.08952	−	0.629036i
$51$	7.17478	−	2.71992i	1.00467	−	0.380865i
$52$	−5.02627	+	2.90192i	−0.697018	+	0.402424i
$53$	−2.67782	−	1.54604i	−0.367827	−	0.212365i	0.304682	−	0.952454i	$-0.401450\pi$
$53$	−2.67782	−	1.54604i	−0.367827	−	0.212365i	−0.672509	+	0.740089i	$0.734783\pi$
$54$	11.9302	+	6.26766i	1.62350	+	0.852921i
$55$			0.772786i			0.104202i
$56$	−13.0387	−	13.4165i	−1.74237	−	1.79285i
$57$	−3.25086	−	0.528768i	−0.430587	−	0.0700371i
$58$	−7.60114	+	13.1656i	−0.998078	+	1.72872i
$59$	3.56459			0.464070			0.232035	−	0.972707i	$-0.425462\pi$
$59$	3.56459			0.464070			0.232035	+	0.972707i	$0.425462\pi$
$60$	−9.59142	+	3.63606i	−1.23825	+	0.469413i
$61$		−	14.4495i		−	1.85006i	−0.379890	−	0.925032i	$-0.624038\pi$
$61$		−	14.4495i		−	1.85006i	0.379890	−	0.925032i	$-0.375962\pi$
$62$	−6.43428			−0.817154
$63$	−6.55733	−	4.47230i	−0.826145	−	0.563457i
$64$	−5.32259			−0.665324
$65$		−	1.53860i		−	0.190840i
$66$	−0.444799	+	2.73462i	−0.0547510	+	0.336608i
$67$	13.6129			1.66308			0.831539	−	0.555467i	$-0.187460\pi$
$67$	13.6129			1.66308			0.831539	+	0.555467i	$0.187460\pi$
$68$	−10.4692	+	18.1331i	−1.26957	+	2.19896i
$69$	−2.91570	−	7.69121i	−0.351009	−	0.925913i
$70$	8.33577	−	2.10647i	0.996316	−	0.251771i
$71$			10.4095i			1.23538i	0.786420	+	0.617692i	$0.211932\pi$
$71$			10.4095i			1.23538i	−0.786420	+	0.617692i	$0.788068\pi$
$72$	−20.7859	+	4.23760i	−2.44964	+	0.499406i
$73$	9.95016	+	5.74473i	1.16458	+	0.672369i	0.952397	−	0.304861i	$-0.0986100\pi$
$73$	9.95016	+	5.74473i	1.16458	+	0.672369i	0.212181	+	0.977230i	$0.431943\pi$
$74$	5.98429	−	3.45503i	0.695659	−	0.401639i
$75$	−0.953796	+	5.86392i	−0.110135	+	0.677107i
$76$	7.78348	−	4.49379i	0.892826	−	0.515473i
$77$	0.444799	−	1.56999i	0.0506895	−	0.178917i
$78$	0.885586	−	5.44457i	0.100273	−	0.616476i
$79$	−4.03185			−0.453618			−0.226809	−	0.973939i	$-0.572829\pi$
$79$	−4.03185			−0.453618			−0.226809	+	0.973939i	$0.572829\pi$
$80$	5.56728	−	9.64281i	0.622441	−	1.07810i
$81$	−8.28173	+	3.52321i	−0.920192	+	0.391468i
$82$	−9.43196	+	5.44554i	−1.04159	+	0.601360i
$83$	−4.36775	+	7.56516i	−0.479422	+	0.830384i	−0.999721	−	0.0236001i	$-0.992487\pi$
$83$	−4.36775	+	7.56516i	−0.479422	+	0.830384i	0.520299	+	0.853984i	$0.325820\pi$
$84$	21.5787	−	1.86639i	2.35443	−	0.203640i
$85$	−2.77538	−	4.80710i	−0.301032	−	0.521403i
$86$	10.0910	+	5.82605i	1.08814	+	0.628240i
$87$	−3.59887	−	9.49331i	−0.385839	−	1.01779i
$88$	−2.18059	−	3.77689i	−0.232451	−	0.402618i
$89$	0.811226	+	1.40508i	0.0859897	+	0.148939i	0.905813	−	0.423679i	$-0.139261\pi$
$89$	0.811226	+	1.40508i	0.0859897	+	0.148939i	−0.819823	+	0.572617i	$0.805928\pi$
$90$	3.08970	−	9.24645i	0.325683	−	0.974661i
$91$	−0.885586	+	3.12582i	−0.0928346	+	0.327675i
$92$	19.4383	+	11.2227i	2.02658	+	1.17005i
$93$	2.71808	−	3.32813i	0.281852	−	0.345111i
$94$		−	19.7492i		−	2.03697i
$95$			2.38261i			0.244451i
$96$	9.75639	−	11.9461i	0.995757	−	1.21924i
$97$	8.76527	+	5.06063i	0.889979	+	0.513829i	0.873936	−	0.486042i	$-0.161560\pi$
$97$	8.76527	+	5.06063i	0.889979	+	0.513829i	0.0160431	+	0.999871i	$0.494893\pi$
$98$	−18.1474	−	0.518397i	−1.83316	−	0.0523660i
$99$	−1.22658	−	1.38528i	−0.123276	−	0.139226i
$100$	−8.10593	−	14.0399i	−0.810593	−	1.40399i
$101$	−0.856611	−	1.48369i	−0.0852360	−	0.147633i	0.820256	−	0.571997i	$-0.193831\pi$
$101$	−0.856611	−	1.48369i	−0.0852360	−	0.147633i	−0.905492	+	0.424364i	$0.860498\pi$
$102$	−7.05423	−	18.6081i	−0.698473	−	1.84247i
$103$	−6.41315	−	3.70263i	−0.631906	−	0.364831i	0.149584	−	0.988749i	$-0.452207\pi$
$103$	−6.41315	−	3.70263i	−0.631906	−	0.364831i	−0.781490	+	0.623918i	$0.785540\pi$
$104$	4.34151	+	7.51971i	0.425720	+	0.737368i
$105$	−2.43178	+	5.20153i	−0.237317	+	0.507617i
$106$	−4.00972	+	6.94503i	−0.389458	+	0.674561i
$107$	0.131657	−	0.0760123i	0.0127278	−	0.00734839i	−0.493623	−	0.869676i	$-0.664328\pi$
$107$	0.131657	−	0.0760123i	0.0127278	−	0.00734839i	0.506350	+	0.862328i	$0.330994\pi$
$108$	11.4221	−	21.7416i	1.09910	−	2.09208i
$109$	2.70051	−	4.67742i	0.258662	−	0.448016i	−0.707222	−	0.706992i	$-0.750052\pi$
$109$	2.70051	−	4.67742i	0.258662	−	0.448016i	0.965884	+	0.258976i	$0.0833851\pi$
$110$	2.00425			0.191098
$111$	−0.740877	+	4.55490i	−0.0703210	+	0.432332i
$112$	−16.8607	+	16.3859i	−1.59318	+	1.54832i
$113$	−5.60391	+	3.23542i	−0.527171	+	0.304362i	−0.739864	−	0.672757i	$-0.765110\pi$
$113$	−5.60391	+	3.23542i	−0.527171	+	0.304362i	0.212693	+	0.977119i	$0.431777\pi$
$114$	−1.37138	+	8.43123i	−0.128442	+	0.789657i
$115$	−5.15311	+	2.97515i	−0.480530	+	0.277434i
$116$	23.9928	+	13.8523i	2.22768	+	1.28615i
$117$	2.44209	+	2.75806i	0.225772	+	0.254983i
$118$		−	9.24490i		−	0.851062i
$119$	2.87159	+	11.3635i	0.263238	+	1.04169i
$120$	5.43984	+	14.3496i	0.496588	+	1.30993i
$121$	−5.30981	+	9.19685i	−0.482710	+	0.836078i
$122$	−37.4752			−3.39285
$123$	1.16771	−	7.17908i	0.105289	−	0.647316i
$124$			11.7258i			1.05301i
$125$	10.5627			0.944757
$126$	−11.5991	+	17.0067i	−1.03333	+	1.51508i
$127$	−2.93175			−0.260151			−0.130075	−	0.991504i	$-0.541522\pi$
$127$	−2.93175			−0.260151			−0.130075	+	0.991504i	$0.541522\pi$
$128$		−	4.00562i		−	0.354050i
$129$	−7.27635	+	2.75843i	−0.640647	+	0.242866i
$130$	−3.99042			−0.349983
$131$	8.11382	−	14.0535i	0.708908	−	1.22786i	−0.256355	−	0.966583i	$-0.582522\pi$
$131$	8.11382	−	14.0535i	0.708908	−	1.22786i	0.965263	−	0.261281i	$-0.0841450\pi$
$132$	4.98355	+	0.810598i	0.433762	+	0.0705535i
$133$	1.37138	−	4.84051i	0.118914	−	0.419726i
$134$		−	35.3055i		−	3.04993i
$135$	3.47751	+	5.50420i	0.299296	+	0.473726i
$136$	27.1286	+	15.6627i	2.32626	+	1.34307i
$137$	−15.0711	+	8.70129i	−1.28761	+	0.743402i	−0.978227	−	0.207536i	$-0.933456\pi$
$137$	−15.0711	+	8.70129i	−1.28761	+	0.743402i	−0.309382	+	0.950938i	$0.600122\pi$
$138$	−19.9475	+	7.56198i	−1.69804	+	0.643719i
$139$	−5.45273	+	3.14813i	−0.462494	+	0.267021i	−0.713092	−	0.701070i	$-0.752706\pi$
$139$	−5.45273	+	3.14813i	−0.462494	+	0.267021i	0.250598	+	0.968091i	$0.419373\pi$
$140$	−3.83881	−	15.1911i	−0.324439	−	1.28388i
$141$	10.2153	+	8.34280i	0.860279	+	0.702591i
$142$	26.9975			2.26558
$143$	−0.378672	+	0.655879i	−0.0316661	+	0.0548474i
$144$	5.32546	+	26.1220i	0.443788	+	2.17683i
$145$	−6.36052	+	3.67225i	−0.528212	+	0.304963i
$146$	14.8992	−	25.8061i	1.23306	−	2.13573i
$147$	7.93428	−	9.16773i	0.654408	−	0.756141i
$148$	−6.29642	−	10.9057i	−0.517563	−	0.896445i
$149$	−9.20319	−	5.31346i	−0.753954	−	0.435296i	0.0731665	−	0.997320i	$-0.476690\pi$
$149$	−9.20319	−	5.31346i	−0.753954	−	0.435296i	−0.827121	+	0.562024i	$0.810023\pi$
$150$	15.2083	+	2.47371i	1.24175	+	0.201977i
$151$	−4.74465	−	8.21798i	−0.386114	−	0.668770i	0.605809	−	0.795610i	$-0.292850\pi$
$151$	−4.74465	−	8.21798i	−0.386114	−	0.668770i	−0.991923	+	0.126841i	$0.959516\pi$
$152$	−6.72308	−	11.6447i	−0.545314	−	0.944511i
$153$	12.6050	+	4.21196i	1.01905	+	0.340517i
$154$	−4.07183	−	1.15360i	−0.328117	−	0.0929600i
$155$	−2.69205	−	1.55426i	−0.216231	−	0.124841i
$156$	−9.92214	−	1.61389i	−0.794407	−	0.129214i
$157$			23.8116i			1.90037i	0.311688	+	0.950185i	$0.399106\pi$
$157$			23.8116i			1.90037i	−0.311688	+	0.950185i	$0.600894\pi$
$158$			10.4568i			0.831895i
$159$	−1.89846	−	5.00787i	−0.150557	−	0.397150i
$160$	−9.66295	−	5.57891i	−0.763924	−	0.441051i
$161$	12.1815	−	3.07829i	0.960035	−	0.242603i
$162$	9.13759	+	21.4790i	0.717916	+	1.68755i
$163$	−4.41101	−	7.64009i	−0.345497	−	0.598418i	0.639947	−	0.768419i	$-0.278956\pi$
$163$	−4.41101	−	7.64009i	−0.345497	−	0.598418i	−0.985444	+	0.170001i	$0.945623\pi$
$164$	9.92392	+	17.1887i	0.774928	+	1.34221i
$165$	−0.846671	+	1.03670i	−0.0659133	+	0.0807068i
$166$	19.6205	+	11.3279i	1.52285	+	0.879217i
$167$	11.0335	+	19.1106i	0.853800	+	1.47883i	0.877754	+	0.479112i	$0.159041\pi$
$167$	11.0335	+	19.1106i	0.853800	+	1.47883i	−0.0239535	+	0.999713i	$0.507625\pi$
$168$	−2.79228	−	32.2836i	−0.215429	−	2.49073i
$169$	−5.74607	+	9.95249i	−0.442005	+	0.765576i
$170$	−12.4674	+	7.19806i	−0.956206	+	0.552066i
$171$	−3.78173	−	4.27102i	−0.289196	−	0.326613i
$172$	10.6174	−	18.3898i	0.809566	−	1.40221i
$173$	4.06750			0.309246			0.154623	−	0.987974i	$-0.450584\pi$
$173$	4.06750			0.309246			0.154623	+	0.987974i	$0.450584\pi$
$174$	−24.6213	+	9.33381i	−1.86653	+	0.707594i
$175$	−8.73135	−	2.47371i	−0.660028	−	0.186995i
$176$	−4.74647	+	2.74038i	−0.357779	+	0.206564i
$177$	4.78192	+	3.90539i	0.359431	+	0.293547i
$178$	3.64414	−	2.10395i	0.273140	−	0.157697i
$179$	−7.20787	−	4.16146i	−0.538741	−	0.311042i	0.205827	−	0.978588i	$-0.434011\pi$
$179$	−7.20787	−	4.16146i	−0.538741	−	0.311042i	−0.744569	+	0.667546i	$0.767345\pi$
$180$	−16.8507	−	5.63065i	−1.25597	−	0.419684i
$181$		−	12.6701i		−	0.941763i	−0.882196	−	0.470881i	$-0.843936\pi$
$181$		−	12.6701i		−	0.941763i	0.882196	−	0.470881i	$-0.156064\pi$
$182$	8.10693	+	2.29680i	0.600926	+	0.170250i
$183$	15.8310	−	19.3840i	1.17026	−	1.43291i
$184$	16.7901	−	29.0813i	1.23778	−	2.14390i
$185$	3.33837			0.245442
$186$	−8.63163	−	7.04946i	−0.632902	−	0.516891i
$187$			2.73225i			0.199802i
$188$	−35.9908			−2.62490
$189$	−3.89680	−	13.1839i	−0.283451	−	0.958987i
$190$	6.17941			0.448301
$191$		−	3.80050i		−	0.274995i	−0.990502	−	0.137497i	$-0.956094\pi$
$191$		−	3.80050i		−	0.274995i	0.990502	−	0.137497i	$-0.0439059\pi$
$192$	−7.14029	−	5.83148i	−0.515306	−	0.420851i
$193$	6.78897			0.488680			0.244340	−	0.969690i	$-0.421429\pi$
$193$	6.78897			0.488680			0.244340	+	0.969690i	$0.421429\pi$
$194$	13.1250	−	22.7331i	0.942317	−	1.63214i
$195$	1.68571	−	2.06404i	0.120716	−	0.147809i
$196$	−0.944723	+	33.0717i	−0.0674802	+	2.36226i
$197$		−	6.41453i		−	0.457017i	−0.973542	−	0.228508i	$-0.926615\pi$
$197$		−	6.41453i		−	0.457017i	0.973542	−	0.228508i	$-0.0733848\pi$
$198$	−3.59277	+	3.18118i	−0.255327	+	0.226077i
$199$	−13.8921	−	8.02063i	−0.984788	−	0.568568i	−0.0810756	−	0.996708i	$-0.525836\pi$
$199$	−13.8921	−	8.02063i	−0.984788	−	0.568568i	−0.903712	+	0.428140i	$0.859169\pi$
$200$	−21.0048	+	12.1271i	−1.48526	+	0.857518i
$201$	18.2618	+	14.9144i	1.28809	+	1.05198i
$202$	−3.84802	+	2.22166i	−0.270746	+	0.156315i
$203$	15.0357	−	3.79955i	1.05530	−	0.266676i
$204$	−33.9112	+	12.8556i	−2.37426	+	0.900070i
$205$	−5.26168			−0.367491
$206$	−9.60292	+	16.6327i	−0.669067	+	1.15886i
$207$	4.51513	−	13.5123i	0.313824	−	0.939168i
$208$	9.45013	−	5.45604i	0.655249	−	0.378308i
$209$	0.586396	−	1.01567i	0.0405619	−	0.0702552i
$210$	13.4904	+	6.30691i	0.930924	+	0.435218i
$211$	−4.06070	−	7.03333i	−0.279550	−	0.484194i	0.691723	−	0.722163i	$-0.256852\pi$
$211$	−4.06070	−	7.03333i	−0.279550	−	0.484194i	−0.971273	+	0.237968i	$0.923519\pi$
$212$	12.6566	+	7.30728i	0.869257	+	0.501866i
$213$	−11.4048	+	13.9644i	−0.781442	+	0.956828i
$214$	−0.197141	−	0.341458i	−0.0134763	−	0.0233416i
$215$	2.81467	+	4.87515i	0.191959	+	0.332483i
$216$	−32.5272	−	17.0885i	−2.21319	−	1.16272i
$217$	4.57457	+	4.70711i	0.310542	+	0.319540i
$218$	−12.1311	−	7.00388i	−0.821620	−	0.474363i
$219$	7.05423	+	18.6081i	0.476681	+	1.25742i
$220$		−	3.65253i		−	0.246254i
$221$		−	5.43985i		−	0.365924i
$222$	11.8133	+	1.92150i	0.792858	+	0.128962i
$223$	6.96205	+	4.01954i	0.466213	+	0.269168i	0.714653	−	0.699479i	$-0.246585\pi$
$223$	6.96205	+	4.01954i	0.466213	+	0.269168i	−0.248440	+	0.968647i	$0.579918\pi$
$224$	16.4201	+	16.8959i	1.09712	+	1.12890i
$225$	−7.70409	+	6.82150i	−0.513606	+	0.454767i
$226$	8.39118	+	14.5340i	0.558173	+	0.966784i
$227$	−10.4117	−	18.0336i	−0.691048	−	1.19693i	−0.971495	−	0.237061i	$-0.923816\pi$
$227$	−10.4117	−	18.0336i	−0.691048	−	1.19693i	0.280447	−	0.959870i	$-0.409517\pi$
$228$	15.3650	+	2.49920i	1.01757	+	0.165513i
$229$	5.21276	+	3.00959i	0.344469	+	0.198879i	0.662247	−	0.749286i	$-0.269603\pi$
$229$	5.21276	+	3.00959i	0.344469	+	0.198879i	−0.317777	+	0.948165i	$0.602936\pi$
$230$	7.71617	+	13.3648i	0.508789	+	0.881248i
$231$	2.31680	−	1.61883i	0.152434	−	0.106511i
$232$	20.7241	−	35.8952i	1.36061	−	2.35664i
$233$	18.2156	−	10.5168i	1.19335	−	0.688978i	0.234282	−	0.972169i	$-0.424726\pi$
$233$	18.2156	−	10.5168i	1.19335	−	0.688978i	0.959064	+	0.283191i	$0.0913929\pi$
$234$	7.15314	−	6.33367i	0.467615	−	0.414045i
$235$	4.77059	−	8.26291i	0.311199	−	0.539013i
$236$	−16.8478			−1.09670
$237$	−5.40875	−	4.41733i	−0.351336	−	0.286936i
$238$	29.4718	−	7.44759i	1.91037	−	0.482755i
$239$	−7.51079	+	4.33636i	−0.485832	+	0.280496i	−0.722844	−	0.691011i	$-0.757165\pi$
$239$	−7.51079	+	4.33636i	−0.485832	+	0.280496i	0.237011	+	0.971507i	$0.423832\pi$
$240$	18.0333	−	6.83633i	1.16404	−	0.441283i
$241$	7.33797	−	4.23658i	0.472680	−	0.272902i	−0.244681	−	0.969604i	$-0.578683\pi$
$241$	7.33797	−	4.23658i	0.472680	−	0.272902i	0.717361	+	0.696702i	$0.245350\pi$
$242$	23.8524	+	13.7712i	1.53329	+	0.885246i
$243$	−14.9701	−	4.34713i	−0.960329	−	0.278868i
$244$			68.2946i			4.37211i
$245$	−7.46750	−	4.60055i	−0.477081	−	0.293919i
$246$	−18.6192	−	3.02851i	−1.18712	−	0.193091i
$247$	−1.16750	+	2.02217i	−0.0742864	+	0.128668i
$248$	17.5427			1.11396
$249$	−14.1478	+	5.36337i	−0.896582	+	0.339890i
$250$		−	27.3948i		−	1.73260i
$251$	−23.4435			−1.47974			−0.739871	−	0.672749i	$-0.765113\pi$
$251$	−23.4435			−1.47974			−0.739871	+	0.672749i	$0.765113\pi$
$252$	30.9929	+	21.1381i	1.95237	+	1.33158i
$253$	2.92891			0.184139
$254$			7.60361i			0.477093i
$255$	1.54351	−	9.48949i	0.0966585	−	0.594255i
$256$	−21.0339			−1.31462
$257$	−12.2585	+	21.2324i	−0.764665	+	1.32444i	0.175758	+	0.984433i	$0.443762\pi$
$257$	−12.2585	+	21.2324i	−0.764665	+	1.32444i	−0.940423	+	0.340005i	$0.889571\pi$
$258$	7.15409	+	18.8715i	0.445394	+	1.17489i
$259$	−6.78223	−	1.92150i	−0.421427	−	0.119396i
$260$			7.27212i			0.450998i
$261$	5.57306	−	16.6783i	0.344964	−	1.03236i
$262$	−36.4484	−	21.0435i	−2.25179	−	1.30007i
$263$	9.14036	−	5.27719i	0.563619	−	0.325406i	−0.190978	−	0.981594i	$-0.561166\pi$
$263$	9.14036	−	5.27719i	0.563619	−	0.325406i	0.754597	+	0.656189i	$0.227833\pi$
$264$	1.21272	−	7.45579i	0.0746379	−	0.458872i
$265$	−3.35527	+	1.93716i	−0.206112	+	0.118999i
$266$	−12.5541	−	3.55673i	−0.769739	−	0.218077i
$267$	−0.451159	+	2.77372i	−0.0276105	+	0.169749i
$268$	−64.3406			−3.93023
$269$	−1.14451	+	1.98235i	−0.0697821	+	0.120866i	−0.898805	−	0.438348i	$-0.855564\pi$
$269$	−1.14451	+	1.98235i	−0.0697821	+	0.120866i	0.829023	+	0.559214i	$0.188897\pi$
$270$	14.2754	−	9.01906i	0.868770	−	0.548883i
$271$	−20.9239	+	12.0804i	−1.27103	+	0.733831i	−0.975182	−	0.221403i	$-0.928936\pi$
$271$	−20.9239	+	12.0804i	−1.27103	+	0.733831i	−0.295851	+	0.955234i	$0.595603\pi$
$272$	19.6836	−	34.0929i	1.19349	−	2.06719i
$273$	−4.61269	+	3.22305i	−0.279173	+	0.195068i
$274$	22.5672	+	39.0875i	1.36333	+	2.36136i
$275$	−1.83207	−	1.05774i	−0.110478	−	0.0637844i
$276$	13.7809	+	36.3521i	0.829513	+	2.18814i
$277$	5.68551	+	9.84760i	0.341609	+	0.591685i	0.984732	−	0.174079i	$-0.0556947\pi$
$277$	5.68551	+	9.84760i	0.341609	+	0.591685i	−0.643122	+	0.765763i	$0.722361\pi$
$278$	8.16481	+	14.1419i	0.489693	+	0.848173i
$279$	7.29265	−	1.48675i	0.436600	−	0.0890092i
$280$	−22.7271	+	5.74318i	−1.35820	+	0.343221i
$281$	17.6382	+	10.1834i	1.05221	+	0.607492i	0.923267	−	0.384160i	$-0.125509\pi$
$281$	17.6382	+	10.1834i	1.05221	+	0.607492i	0.128941	+	0.991652i	$0.458842\pi$
$282$	21.6374	−	26.4937i	1.28849	−	1.57767i
$283$			12.1611i			0.722903i	0.932391	+	0.361451i	$0.117719\pi$
$283$			12.1611i			0.722903i	−0.932391	+	0.361451i	$0.882281\pi$
$284$		−	49.2001i		−	2.91949i
$285$	−2.61042	+	3.19629i	−0.154628	+	0.189332i
$286$	1.70105	+	0.982101i	0.100585	+	0.0580729i
$287$	10.6896	+	3.02851i	0.630988	+	0.178767i
$288$	26.1765	−	5.33658i	1.54247	−	0.314461i
$289$	−1.31257	−	2.27345i	−0.0772103	−	0.133732i
$290$	9.52411	+	16.4962i	0.559275	+	0.968693i
$291$	6.21420	+	16.3922i	0.364283	+	0.960927i
$292$	−47.0289	−	27.1522i	−2.75216	−	1.58896i
$293$	−13.4674	−	23.3262i	−0.786773	−	1.36273i	−0.927934	−	0.372745i	$-0.878417\pi$
$293$	−13.4674	−	23.3262i	−0.786773	−	1.36273i	0.141161	−	0.989987i	$-0.454917\pi$
$294$	−23.7769	−	20.5779i	−1.38670	−	1.20013i
$295$	2.23319	−	3.86799i	0.130021	−	0.225203i
$296$	−16.3159	+	9.41996i	−0.948340	+	0.547524i
$297$	−0.127740	−	3.20221i	−0.00741225	−	0.185811i
$298$	−13.7807	+	23.8688i	−0.798293	+	1.38268i
$299$	−5.83140			−0.337239
$300$	4.50807	−	27.7155i	0.260273	−	1.60016i
$301$	−2.91224	−	11.5244i	−0.167859	−	0.664256i
$302$	−21.3137	+	12.3054i	−1.22646	+	0.708099i
$303$	0.476400	−	2.92890i	0.0273684	−	0.168261i
$304$	−14.6341	+	8.44899i	−0.839322	+	0.484583i
$305$	−15.6793	−	9.05248i	−0.897797	−	0.518343i
$306$	10.9239	−	32.6915i	0.624477	−	1.86885i
$307$		−	21.3700i		−	1.21965i	−0.792536	−	0.609825i	$-0.791240\pi$
$307$		−	21.3700i		−	1.21965i	0.792536	−	0.609825i	$-0.208760\pi$
$308$	−2.10232	+	7.42048i	−0.119791	+	0.422821i
$309$	−4.54664	−	11.9934i	−0.258649	−	0.682281i
$310$	−4.03103	+	6.98195i	−0.228947	+	0.396548i
$311$	16.2312			0.920385			0.460192	−	0.887819i	$-0.347780\pi$
$311$	16.2312			0.920385			0.460192	+	0.887819i	$0.347780\pi$
$312$	−2.41450	+	14.8443i	−0.136694	+	0.840395i
$313$		−	14.0805i		−	0.795880i	−0.917412	−	0.397940i	$-0.869725\pi$
$313$		−	14.0805i		−	0.795880i	0.917412	−	0.397940i	$-0.130275\pi$
$314$	61.7562			3.48511
$315$	−8.96109	+	4.31360i	−0.504900	+	0.243044i
$316$	19.0563			1.07200
$317$			20.2968i			1.13998i	0.821651	+	0.569991i	$0.193053\pi$
$317$			20.2968i			1.13998i	−0.821651	+	0.569991i	$0.806947\pi$
$318$	−12.9881	+	4.92372i	−0.728337	+	0.276109i
$319$	3.61517			0.202411
$320$	−3.33456	+	5.77563i	−0.186408	+	0.322868i
$321$	0.259899	+	0.0422738i	0.0145061	+	0.00235950i
$322$	−7.98366	−	31.5931i	−0.444912	−	1.76062i
$323$			8.42392i			0.468720i
$324$	39.1432	−	16.6523i	2.17462	−	0.925126i
$325$	3.64761	+	2.10595i	0.202333	+	0.116817i
$326$	−19.8149	+	11.4401i	−1.09744	+	0.633610i
$327$	8.74738	−	3.31609i	0.483731	−	0.183380i
$328$	25.7158	−	14.8470i	1.41991	−	0.819788i
$329$	−14.4479	+	14.0410i	−0.796537	+	0.774108i
$330$	2.68872	+	2.19588i	0.148009	+	0.120879i
$331$	26.4682			1.45482			0.727411	−	0.686202i	$-0.240723\pi$
$331$	26.4682			1.45482			0.727411	+	0.686202i	$0.240723\pi$
$332$	20.6439	−	35.7563i	1.13298	−	1.96238i
$333$	−5.98429	+	5.29872i	−0.327937	+	0.290368i
$334$	49.5642	−	28.6159i	2.71203	−	1.56579i
$335$	8.52836	−	14.7716i	0.465954	−	0.807057i
$336$	−40.5712	+	3.50909i	−2.21334	+	0.191437i
$337$	−1.73659	−	3.00785i	−0.0945979	−	0.163848i	0.814843	−	0.579682i	$-0.196823\pi$
$337$	−1.73659	−	3.00785i	−0.0945979	−	0.163848i	−0.909441	+	0.415834i	$0.863490\pi$
$338$	25.8122	+	14.9027i	1.40400	+	0.810598i
$339$	−11.0624	−	1.79936i	−0.600829	−	0.0977278i
$340$	13.1177	+	22.7205i	0.711407	+	1.23219i
$341$	0.765051	+	1.32511i	0.0414298	+	0.0717585i
$342$	−11.0771	+	9.80806i	−0.598979	+	0.530359i
$343$	12.5230	+	13.6446i	0.676177	+	0.736739i
$344$	−27.5127	−	15.8844i	−1.48338	−	0.856432i
$345$	−10.1725	−	1.65461i	−0.547671	−	0.0890813i
$346$		−	10.5492i		−	0.567130i
$347$		−	9.40810i		−	0.505053i	−0.967590	−	0.252527i	$-0.918738\pi$
$347$		−	9.40810i		−	0.505053i	0.967590	−	0.252527i	$-0.0812615\pi$
$348$	17.0099	+	44.8697i	0.911824	+	2.40527i
$349$	12.3253	+	7.11603i	0.659759	+	0.380912i	0.792185	−	0.610281i	$-0.208943\pi$
$349$	12.3253	+	7.11603i	0.659759	+	0.380912i	−0.132426	+	0.991193i	$0.542277\pi$
$350$	−6.41566	+	22.6451i	−0.342931	+	1.21043i
$351$	0.254329	+	6.37554i	0.0135751	+	0.340301i
$352$	2.74610	+	4.75639i	0.146368	+	0.253516i
$353$	8.58262	+	14.8655i	0.456807	+	0.791213i	0.998790	−	0.0491765i	$-0.0156597\pi$
$353$	8.58262	+	14.8655i	0.456807	+	0.791213i	−0.541983	+	0.840389i	$0.682326\pi$
$354$	10.1288	−	12.4021i	0.538340	−	0.659164i
$355$	11.2956	+	6.52149i	0.599506	+	0.346125i
$356$	−3.83422	−	6.64106i	−0.203213	−	0.351975i
$357$	−8.59774	+	18.3904i	−0.455041	+	0.973323i
$358$	−10.7929	+	18.6939i	−0.570424	+	0.988003i
$359$	−24.4705	+	14.1281i	−1.29150	+	0.745650i	−0.978921	−	0.204241i	$-0.934528\pi$
$359$	−24.4705	+	14.1281i	−1.29150	+	0.745650i	−0.312583	+	0.949890i	$0.601194\pi$
$360$	−8.42392	+	25.2100i	−0.443980	+	1.32868i
$361$	−7.69205	+	13.3230i	−0.404845	+	0.701212i
$362$	−32.8605			−1.72711
$363$	−17.1993	+	6.52017i	−0.902729	+	0.342220i
$364$	4.18568	−	14.7740i	0.219389	−	0.774369i
$365$	12.4674	−	7.19806i	0.652574	−	0.376764i
$366$	−50.2733	−	41.0582i	−2.62783	−	2.14615i
$367$	19.9796	−	11.5352i	1.04293	−	0.602133i	0.122265	−	0.992498i	$-0.460984\pi$
$367$	19.9796	−	11.5352i	1.04293	−	0.602133i	0.920661	+	0.390364i	$0.127651\pi$
$368$	−36.5469	−	21.1004i	−1.90514	−	1.09993i
$369$	9.43196	−	8.35142i	0.491008	−	0.434758i
$370$		−	8.65820i		−	0.450118i
$371$	7.93154	−	2.00432i	0.411785	−	0.104059i
$372$	−12.8469	+	15.7302i	−0.666080	+	0.815574i
$373$	6.93635	−	12.0141i	0.359150	−	0.622067i	−0.628669	−	0.777673i	$-0.716400\pi$
$373$	6.93635	−	12.0141i	0.359150	−	0.622067i	0.987819	+	0.155607i	$0.0497332\pi$
$374$	7.08619			0.366418
$375$	14.1699	+	11.5726i	0.731732	+	0.597606i
$376$			53.8452i			2.77685i
$377$	−7.19773			−0.370702
$378$	−34.1929	+	10.1065i	−1.75870	+	0.519823i
$379$	22.7814			1.17020			0.585101	−	0.810961i	$-0.301055\pi$
$379$	22.7814			1.17020			0.585101	+	0.810961i	$0.301055\pi$
$380$		−	11.2613i		−	0.577693i
$381$	−3.93296	−	3.21205i	−0.201492	−	0.164558i
$382$	−9.85676			−0.504316
$383$	−7.61598	+	13.1913i	−0.389158	+	0.674042i	−0.992337	−	0.123564i	$-0.960567\pi$
$383$	−7.61598	+	13.1913i	−0.389158	+	0.674042i	0.603178	+	0.797606i	$0.293901\pi$
$384$	4.38860	−	5.37357i	0.223955	−	0.274219i
$385$	−1.42496	−	1.46625i	−0.0726226	−	0.0747268i
$386$		−	17.6075i		−	0.896196i
$387$	−12.7834	−	4.27159i	−0.649819	−	0.217137i
$388$	−41.4286	−	23.9188i	−2.10322	−	1.21429i
$389$	12.2525	−	7.07396i	0.621224	−	0.358664i	−0.156121	−	0.987738i	$-0.549899\pi$
$389$	12.2525	−	7.07396i	0.621224	−	0.358664i	0.777346	+	0.629074i	$0.216566\pi$
$390$	−5.35318	−	4.37195i	−0.271069	−	0.221382i
$391$	−18.2192	+	10.5189i	−0.921386	+	0.531962i
$392$	49.4779	+	1.41338i	2.49901	+	0.0713866i
$393$	26.2819	−	9.96335i	1.32575	−	0.502584i
$394$	−16.6363			−0.838127
$395$	−2.52592	+	4.37503i	−0.127093	+	0.220131i
$396$	5.79736	+	6.54744i	0.291328	+	0.329021i
$397$	8.40688	−	4.85371i	0.421929	−	0.243601i	−0.273973	−	0.961737i	$-0.588338\pi$
$397$	8.40688	−	4.85371i	0.421929	−	0.243601i	0.695902	+	0.718136i	$0.255005\pi$
$398$	−20.8018	+	36.0298i	−1.04270	+	1.80601i
$399$	7.14303	−	4.99108i	0.357599	−	0.249867i
$400$	15.2403	+	26.3970i	0.762017	+	1.31985i
$401$	−7.56156	−	4.36567i	−0.377606	−	0.218011i	0.299170	−	0.954200i	$-0.403290\pi$
$401$	−7.56156	−	4.36567i	−0.377606	−	0.218011i	−0.676776	+	0.736189i	$0.736624\pi$
$402$	38.6811	−	47.3626i	1.92924	−	2.36223i
$403$	−1.52320	−	2.63826i	−0.0758760	−	0.131421i
$404$	4.04873	+	7.01261i	0.201432	+	0.348890i
$405$	−1.36535	+	11.1939i	−0.0678446	+	0.556230i
$406$	−9.85428	−	38.9956i	−0.489060	−	1.93532i
$407$	−1.42309	−	0.821622i	−0.0705400	−	0.0407263i
$408$	19.2330	+	50.7340i	0.952175	+	2.51171i
$409$		−	14.8918i		−	0.736353i	−0.929756	−	0.368176i	$-0.879982\pi$
$409$		−	14.8918i		−	0.736353i	0.929756	−	0.368176i	$-0.120018\pi$
$410$			13.6464i			0.673946i
$411$	−29.7512	−	4.83918i	−1.46752	−	0.238699i
$412$	30.3114	+	17.5003i	1.49334	+	0.862178i
$413$	−6.76327	+	6.57283i	−0.332799	+	0.323428i
$414$	−35.0446	−	11.7102i	−1.72235	−	0.575524i
$415$	5.47272	+	9.47903i	0.268645	+	0.465307i
$416$	−5.46743	−	9.46987i	−0.268063	−	0.464299i
$417$	−10.7640	−	1.75082i	−0.527115	−	0.0857379i
$418$	−2.63418	−	1.52084i	−0.128842	−	0.0743868i
$419$	2.13859	+	3.70414i	0.104477	+	0.180959i	0.913524	−	0.406784i	$-0.133350\pi$
$419$	2.13859	+	3.70414i	0.104477	+	0.180959i	−0.809048	+	0.587743i	$0.800017\pi$
$420$	11.4937	−	24.5847i	0.560834	−	1.19961i
$421$	5.76681	−	9.98841i	0.281057	−	0.486805i	−0.690588	−	0.723248i	$-0.742648\pi$
$421$	5.76681	−	9.98841i	0.281057	−	0.486805i	0.971645	+	0.236443i	$0.0759816\pi$
$422$	−18.2412	+	10.5316i	−0.887969	+	0.512669i
$423$	4.56338	+	22.3839i	0.221879	+	1.08834i
$424$	10.9323	−	18.9353i	0.530919	−	0.919578i
$425$	15.1951			0.737072
$426$	36.2174	+	29.5787i	1.75474	+	1.43309i
$427$	26.6437	+	27.4157i	1.28938	+	1.32674i
$428$	−0.622271	+	0.359268i	−0.0300786	+	0.0173659i
$429$	−1.22658	+	0.464990i	−0.0592198	+	0.0224499i
$430$	12.6439	−	7.29996i	0.609743	−	0.352035i
$431$	14.4497	+	8.34254i	0.696018	+	0.401846i	0.805863	−	0.592103i	$-0.201702\pi$
$431$	14.4497	+	8.34254i	0.696018	+	0.401846i	−0.109845	+	0.993949i	$0.535035\pi$
$432$	−21.4753	+	40.8774i	−1.03323	+	1.96671i
$433$		−	12.3503i		−	0.593516i	−0.954953	−	0.296758i	$-0.904094\pi$
$433$		−	12.3503i		−	0.593516i	0.954953	−	0.296758i	$-0.0959055\pi$
$434$	12.2081	−	11.8643i	0.586007	−	0.569506i
$435$	−12.5560	−	2.04230i	−0.602015	−	0.0979207i
$436$	−12.7638	+	22.1076i	−0.611276	+	1.05876i
$437$	9.03027			0.431976
$438$	48.2608	−	18.2954i	2.30599	−	0.874189i
$439$			22.1346i			1.05643i	0.849112	+	0.528213i	$0.177138\pi$
$439$			22.1346i			1.05643i	−0.849112	+	0.528213i	$0.822862\pi$
$440$	−5.46449			−0.260509
$441$	20.6881	−	3.60570i	0.985149	−	0.171700i
$442$	−14.1085			−0.671071
$443$		−	4.88329i		−	0.232012i	−0.993248	−	0.116006i	$-0.962991\pi$
$443$		−	4.88329i		−	0.232012i	0.993248	−	0.116006i	$-0.0370092\pi$
$444$	3.50172	−	21.5285i	0.166184	−	1.02170i
$445$	2.03291			0.0963690
$446$	10.4248	−	18.0563i	0.493630	−	0.854993i
$447$	−6.52466	−	17.2111i	−0.308606	−	0.814059i
$448$	10.0988	−	9.81446i	0.477124	−	0.463690i
$449$			12.4409i			0.587121i	0.955941	+	0.293560i	$0.0948401\pi$
$449$			12.4409i			0.587121i	−0.955941	+	0.293560i	$0.905160\pi$
$450$	17.6918	+	19.9809i	0.834001	+	0.941907i
$451$	2.24296	+	1.29498i	0.105617	+	0.0609780i
$452$	26.4866	−	15.2920i	1.24582	−	0.719277i
$453$	2.63871	−	16.2228i	0.123977	−	0.762212i
$454$	−46.7708	+	27.0031i	−2.19506	+	1.26732i
$455$	2.83707	+	2.91927i	0.133004	+	0.136857i
$456$	3.73900	−	22.9873i	0.175095	−	1.07648i
$457$	−10.7755			−0.504056			−0.252028	−	0.967720i	$-0.581098\pi$
$457$	−10.7755			−0.504056			−0.252028	+	0.967720i	$0.581098\pi$
$458$	7.80549	−	13.5195i	0.364727	−	0.631725i
$459$	12.2950	+	19.4605i	0.573882	+	0.908339i
$460$	24.3559	−	14.0619i	1.13560	−	0.655639i
$461$	0.333303	−	0.577297i	0.0155235	−	0.0268874i	−0.858159	−	0.513383i	$-0.828392\pi$
$461$	0.333303	−	0.577297i	0.0155235	−	0.0268874i	0.873683	+	0.486496i	$0.161725\pi$
$462$	−4.19849	−	6.00870i	−0.195331	−	0.279550i
$463$	−20.7892	−	36.0079i	−0.966155	−	1.67343i	−0.706479	−	0.707734i	$-0.749717\pi$
$463$	−20.7892	−	36.0079i	−0.966155	−	1.67343i	−0.259677	−	0.965696i	$-0.583616\pi$
$464$	−45.1101	−	26.0443i	−2.09418	−	1.20908i
$465$	−1.90855	−	5.03448i	−0.0885068	−	0.233469i
$466$	−27.2757	−	47.2429i	−1.26352	−	2.18849i
$467$	−19.6568	−	34.0465i	−0.909606	−	1.57548i	−0.814612	−	0.580006i	$-0.803050\pi$
$467$	−19.6568	−	34.0465i	−0.909606	−	1.57548i	−0.0949943	−	0.995478i	$-0.530283\pi$
$468$	−11.5424	−	13.0358i	−0.533549	−	0.602581i
$469$	−25.8284	+	25.1011i	−1.19264	+	1.15906i
$470$	−21.4302	−	12.3727i	−0.988500	−	0.570711i
$471$	−26.0882	+	31.9434i	−1.20208	+	1.47187i
$472$			25.2057i			1.16019i
$473$		−	2.77093i		−	0.127407i
$474$	−11.4565	+	14.0278i	−0.526215	+	0.644319i
$475$	−5.64854	−	3.26119i	−0.259173	−	0.149633i
$476$	−13.5724	−	53.7092i	−0.622091	−	2.46176i
$477$	2.93987	−	8.79805i	0.134608	−	0.402835i
$478$	11.2465	+	19.4795i	0.514403	+	0.890973i
$479$	−19.0577	−	33.0088i	−0.870767	−	1.50821i	−0.861205	−	0.508258i	$-0.830290\pi$
$479$	−19.0577	−	33.0088i	−0.870767	−	1.50821i	−0.00956182	−	0.999954i	$-0.503044\pi$
$480$	−6.85061	−	18.0710i	−0.312686	−	0.824823i
$481$	2.83335	+	1.63583i	0.129189	+	0.0745875i
$482$	−10.9877	−	19.0313i	−0.500477	−	0.866852i
$483$	19.7141	+	9.21660i	0.897024	+	0.419370i
$484$	25.0965	−	43.4685i	1.14075	−	1.97584i
$485$	10.9828	−	6.34090i	0.498701	−	0.287925i
$486$	−11.2744	+	38.8254i	−0.511419	+	1.76116i
$487$	−3.80277	+	6.58659i	−0.172320	+	0.298467i	−0.939231	−	0.343287i	$-0.888460\pi$
$487$	−3.80277	+	6.58659i	−0.172320	+	0.298467i	0.766911	+	0.641754i	$0.221793\pi$
$488$	102.174			4.62521
$489$	2.45316	−	15.0820i	0.110936	−	0.682030i
$490$	−11.9317	+	19.3673i	−0.539020	+	0.874923i
$491$	3.33297	−	1.92429i	0.150415	−	0.0868420i	−0.422904	−	0.906175i	$-0.638989\pi$
$491$	3.33297	−	1.92429i	0.150415	−	0.0868420i	0.573318	+	0.819333i	$0.305656\pi$
$492$	−5.51913	+	33.9315i	−0.248822	+	1.52975i
$493$	−22.4881	+	12.9835i	−1.01281	+	0.584748i
$494$	5.24459	+	3.02797i	0.235965	+	0.136235i
$495$	−2.27163	+	0.463115i	−0.102102	+	0.0208155i
$496$		−	22.0462i		−	0.989904i
$497$	−19.1944	−	19.7505i	−0.860986	−	0.885932i
$498$	13.9101	+	36.6929i	0.623327	+	1.64425i
$499$	16.0794	−	27.8503i	0.719812	−	1.24675i	−0.241262	−	0.970460i	$-0.577561\pi$
$499$	16.0794	−	27.8503i	0.719812	−	1.24675i	0.961074	−	0.276291i	$-0.0891053\pi$
$500$	−49.9241			−2.23267
$501$	−6.13624	+	37.7255i	−0.274147	+	1.68545i
$502$			60.8017i			2.71371i
$503$	0.425693			0.0189807			0.00949035	−	0.999955i	$-0.496979\pi$
$503$	0.425693			0.0189807			0.00949035	+	0.999955i	$0.496979\pi$
$504$	31.6243	−	46.3679i	1.40866	−	2.06539i
$505$	−2.14664			−0.0955243
$506$		−	7.59624i		−	0.337694i
$507$	−18.6124	+	7.05588i	−0.826607	+	0.313363i
$508$	13.8568			0.614794
$509$	−12.8963	+	22.3370i	−0.571617	+	0.990071i	0.424783	+	0.905295i	$0.360351\pi$
$509$	−12.8963	+	22.3370i	−0.571617	+	0.990071i	−0.996400	+	0.0847751i	$0.972983\pi$
$510$	−24.6114	−	4.00316i	−1.08981	−	0.177263i
$511$	−29.4718	+	7.44759i	−1.30376	+	0.329462i
$512$			46.5411i			2.05684i
$513$	−0.393843	−	9.87290i	−0.0173886	−	0.435899i
$514$	55.0670	+	31.7929i	2.42890	+	1.40233i
$515$	−8.03558	+	4.63934i	−0.354090	+	0.204434i
$516$	34.3913	−	13.0376i	1.51399	−	0.573947i
$517$	−4.06724	+	2.34822i	−0.178877	+	0.103275i
$518$	−4.98347	+	17.5900i	−0.218961	+	0.772859i
$519$	5.45658	+	4.45639i	0.239517	+	0.195614i
$520$	10.8797			0.477106
$521$	9.07174	−	15.7127i	0.397440	−	0.688386i	−0.595969	−	0.803007i	$-0.703232\pi$
$521$	9.07174	−	15.7127i	0.397440	−	0.688386i	0.993409	+	0.114621i	$0.0365653\pi$
$522$	−43.2558	−	14.4540i	−1.89326	−	0.632632i
$523$	12.0723	−	6.96997i	0.527887	−	0.304776i	−0.212269	−	0.977211i	$-0.568085\pi$
$523$	12.0723	−	6.96997i	0.527887	−	0.304776i	0.740155	+	0.672436i	$0.234752\pi$
$524$	−38.3495	+	66.4234i	−1.67531	+	2.90172i
$525$	−9.00294	−	12.8846i	−0.392921	−	0.562332i
$526$	−13.6866	−	23.7059i	−0.596764	−	1.03363i
$527$	−9.51796	−	5.49520i	−0.414609	−	0.239375i
$528$	−9.36981	−	1.52405i	−0.407768	−	0.0663256i
$529$	−0.223990	−	0.387962i	−0.00973870	−	0.0168679i
$530$	5.02411	+	8.70202i	0.218234	+	0.377992i
$531$	2.13619	+	10.4782i	0.0927026	+	0.454716i
$532$	−6.48177	+	22.8784i	−0.281020	+	0.991906i
$533$	−4.46569	−	2.57827i	−0.193431	−	0.111677i
$534$	7.19374	+	1.17010i	0.311304	+	0.0506351i
$535$		−	0.190485i		−	0.00823537i
$536$			96.2587i			4.15774i
$537$	−5.11006	−	13.4796i	−0.220515	−	0.581689i
$538$	5.14131	+	2.96834i	0.221658	+	0.127974i
$539$	2.05100	+	3.79900i	0.0883430	+	0.163634i
$540$	−16.4363	−	26.0153i	−0.707305	−	1.11952i
$541$	−14.8576	−	25.7341i	−0.638779	−	1.10640i	−0.985701	−	0.168503i	$-0.946107\pi$
$541$	−14.8576	−	25.7341i	−0.638779	−	1.10640i	0.346922	−	0.937894i	$-0.387227\pi$
$542$	31.3310	+	54.2668i	1.34578	+	2.33096i
$543$	13.8815	−	16.9971i	0.595713	−	0.729414i
$544$	−34.1641	−	19.7247i	−1.46478	−	0.845688i
$545$	−3.38370	−	5.86074i	−0.144942	−	0.251046i
$546$	8.35911	+	11.9632i	0.357737	+	0.511978i
$547$	−9.13516	+	15.8226i	−0.390591	+	0.676524i	−0.992528	−	0.122020i	$-0.961063\pi$
$547$	−9.13516	+	15.8226i	−0.390591	+	0.676524i	0.601937	+	0.798544i	$0.294396\pi$
$548$	71.2327	−	41.1262i	3.04291	−	1.75683i
$549$	42.4747	−	8.65927i	1.81277	−	0.369569i
$550$	−2.74330	+	4.75154i	−0.116975	+	0.202606i
$551$	11.1461			0.474841
$552$	54.3858	−	20.6174i	2.31481	−	0.877533i
$553$	7.64983	−	7.43442i	0.325304	−	0.316144i
$554$	25.5401	−	14.7456i	1.08510	−	0.626481i
$555$	4.47845	+	3.65755i	0.190100	+	0.155254i
$556$	25.7720	−	14.8795i	1.09298	−	0.631031i
$557$	0.359456	+	0.207532i	0.0152307	+	0.00879343i	0.507596	−	0.861595i	$-0.330534\pi$
$557$	0.359456	+	0.207532i	0.0152307	+	0.00879343i	−0.492365	+	0.870389i	$0.663868\pi$
$558$	−3.85594	−	18.9138i	−0.163235	−	0.800684i
$559$			5.51686i			0.233338i
$560$	7.21754	+	28.5614i	0.304997	+	1.20694i
$561$	−2.99347	+	3.66532i	−0.126385	+	0.154750i
$562$	26.4111	−	45.7454i	1.11409	−	1.92965i
$563$	3.65925			0.154219			0.0771095	−	0.997023i	$-0.475431\pi$
$563$	3.65925			0.154219			0.0771095	+	0.997023i	$0.475431\pi$
$564$	−48.2819	−	39.4318i	−2.03303	−	1.66038i
$565$			8.10786i			0.341100i
$566$	31.5403			1.32574
$567$	9.21681	−	21.9556i	0.387069	−	0.922051i
$568$	−73.6074			−3.08850
$569$			35.1828i			1.47494i	0.675380	+	0.737470i	$0.263980\pi$
$569$			35.1828i			1.47494i	−0.675380	+	0.737470i	$0.736020\pi$
$570$	8.28972	+	6.77022i	0.347218	+	0.283573i
$571$	−10.0536			−0.420730			−0.210365	−	0.977623i	$-0.567465\pi$
$571$	−10.0536			−0.420730			−0.210365	+	0.977623i	$0.567465\pi$
$572$	1.78977	−	3.09998i	0.0748342	−	0.129617i
$573$	4.16387	−	5.09840i	0.173948	−	0.212989i
$574$	7.85456	−	27.7239i	0.327843	−	1.15717i
$575$		−	16.2888i		−	0.679292i
$576$	−3.18972	−	15.6459i	−0.132905	−	0.651914i
$577$	0.0597672	+	0.0345066i	0.00248814	+	0.00143653i	0.501244	−	0.865306i	$-0.332876\pi$
$577$	0.0597672	+	0.0345066i	0.00248814	+	0.00143653i	−0.498755	+	0.866743i	$0.666209\pi$
$578$	−5.89627	+	3.40421i	−0.245253	+	0.141597i
$579$	9.10744	+	7.43805i	0.378492	+	0.309115i
$580$	30.0627	−	17.3567i	1.24828	−	0.720697i
$581$	−5.66244	−	22.4076i	−0.234918	−	0.929622i
$582$	42.5138	−	16.1168i	1.76225	−	0.668061i
$583$	1.90706			0.0789823
$584$	−40.6219	+	70.3591i	−1.68094	+	2.91148i
$585$	4.52277	−	0.922053i	0.186994	−	0.0381222i
$586$	−60.4974	+	34.9282i	−2.49913	+	1.44287i
$587$	11.4799	−	19.8838i	0.473827	−	0.820693i	−0.525724	−	0.850655i	$-0.676205\pi$
$587$	11.4799	−	19.8838i	0.473827	−	0.820693i	0.999551	+	0.0299626i	$0.00953881\pi$
$588$	−37.5010	+	43.3308i	−1.54651	+	1.78693i
$589$	2.35877	+	4.08550i	0.0971913	+	0.168340i
$590$	−10.0318	−	5.79186i	−0.413003	−	0.238447i
$591$	7.02782	−	8.60514i	0.289086	−	0.353968i
$592$	11.8382	+	20.5044i	0.486547	+	0.842725i
$593$	−14.3970	−	24.9363i	−0.591213	−	1.02401i	−0.994069	−	0.108748i	$-0.965316\pi$
$593$	−14.3970	−	24.9363i	−0.591213	−	1.02401i	0.402856	−	0.915263i	$-0.368018\pi$
$594$	−8.30506	+	0.331300i	−0.340761	+	0.0135934i
$595$	14.1298	+	4.00316i	0.579265	+	0.164114i
$596$	43.4984	+	25.1138i	1.78176	+	1.02870i
$597$	−9.84892	−	25.9801i	−0.403090	−	1.06329i
$598$			15.1240i			0.618465i
$599$			38.2885i			1.56442i	0.623012	+	0.782212i	$0.285909\pi$
$599$			38.2885i			1.56442i	−0.623012	+	0.782212i	$0.714091\pi$
$600$	−41.4647	−	6.74444i	−1.69279	−	0.275340i
$601$	−26.7618	−	15.4509i	−1.09164	−	0.630257i	−0.157625	−	0.987499i	$-0.550384\pi$
$601$	−26.7618	−	15.4509i	−1.09164	−	0.630257i	−0.934012	+	0.357242i	$0.883717\pi$
$602$	−29.8890	+	7.55302i	−1.21819	+	0.307838i
$603$	8.15793	+	40.0155i	0.332216	+	1.62956i
$604$	22.4254	+	38.8419i	0.912475	+	1.58045i
$605$	6.65311	+	11.5235i	0.270487	+	0.468498i
$606$	−7.59621	−	1.23556i	−0.308575	−	0.0501913i
$607$	28.7339	+	16.5895i	1.16627	+	0.673349i	0.952800	−	0.303600i	$-0.0981886\pi$
$607$	28.7339	+	16.5895i	1.16627	+	0.673349i	0.213475	+	0.976949i	$0.431522\pi$
$608$	8.46664	+	14.6647i	0.343368	+	0.594730i
$609$	24.3333	+	11.3761i	0.986034	+	0.460983i
$610$	−23.4780	+	40.6650i	−0.950595	+	1.64648i
$611$	8.09780	−	4.67527i	0.327602	−	0.189141i
$612$	−59.5768	−	19.9076i	−2.40825	−	0.804718i
$613$	−2.01164	+	3.48426i	−0.0812492	+	0.140728i	−0.903787	−	0.427983i	$-0.859224\pi$
$613$	−2.01164	+	3.48426i	−0.0812492	+	0.140728i	0.822538	+	0.568711i	$0.192558\pi$
$614$	−55.4239			−2.23673
$615$	−7.05857	−	5.76474i	−0.284629	−	0.232457i
$616$	11.1016	+	3.14524i	0.447298	+	0.126725i
$617$	27.1191	−	15.6572i	1.09177	−	0.630336i	0.157726	−	0.987483i	$-0.449584\pi$
$617$	27.1191	−	15.6572i	1.09177	−	0.630336i	0.934048	+	0.357147i	$0.116251\pi$
$618$	−31.1054	+	11.7919i	−1.25124	+	0.474339i
$619$	12.0646	−	6.96550i	0.484917	−	0.279967i	−0.237546	−	0.971376i	$-0.576343\pi$
$619$	12.0646	−	6.96550i	0.484917	−	0.279967i	0.722463	+	0.691409i	$0.243010\pi$
$620$	12.7238	+	7.34612i	0.511002	+	0.295027i
$621$	20.8613	−	13.1800i	0.837134	−	0.528895i
$622$		−	42.0962i		−	1.68790i
$623$	−4.13005	−	1.17010i	−0.165467	−	0.0468790i
$624$	18.6551	+	3.03434i	0.746802	+	0.121471i
$625$	−1.95762	+	3.39069i	−0.0783047	+	0.135628i
$626$	−36.5185			−1.45957
$627$	1.89943	−	0.720064i	0.0758559	−	0.0287566i
$628$		−	112.544i		−	4.49100i
$629$	11.8031			0.470620
$630$	11.1875	+	23.2409i	0.445721	+	0.925941i
$631$	−4.61815			−0.183846			−0.0919229	−	0.995766i	$-0.529301\pi$
$631$	−4.61815			−0.183846			−0.0919229	+	0.995766i	$0.529301\pi$
$632$		−	28.5098i		−	1.13406i
$633$	2.25833	−	13.8842i	0.0897607	−	0.551847i
$634$	52.6406			2.09063
$635$	−1.83672	+	3.18129i	−0.0728879	+	0.126246i
$636$	8.97296	+	23.6694i	0.355801	+	0.938554i
$637$	−4.08351	−	7.56373i	−0.161794	−	0.299686i
$638$		−	9.37609i		−	0.371203i
$639$	−30.5992	+	6.23822i	−1.21048	+	0.246780i
$640$	−4.34657	−	2.50949i	−0.171813	−	0.0991964i
$641$	36.7821	−	21.2362i	1.45281	−	0.838779i	0.454167	−	0.890917i	$-0.349937\pi$
$641$	36.7821	−	21.2362i	1.45281	−	0.838779i	0.998640	+	0.0521380i	$0.0166036\pi$
$642$	0.109639	−	0.674058i	0.00432710	−	0.0266030i
$643$	3.13514	−	1.81008i	0.123638	−	0.0713825i	−0.436905	−	0.899507i	$-0.643926\pi$
$643$	3.13514	−	1.81008i	0.123638	−	0.0713825i	0.560544	+	0.828125i	$0.310592\pi$
$644$	−57.5751	+	14.5494i	−2.26878	+	0.573325i
$645$	−1.56536	+	9.62383i	−0.0616361	+	0.378938i
$646$	21.8478			0.859589
$647$	−6.00617	+	10.4030i	−0.236127	+	0.408984i	−0.959600	−	0.281369i	$-0.909211\pi$
$647$	−6.00617	+	10.4030i	−0.236127	+	0.408984i	0.723473	+	0.690353i	$0.242545\pi$
$648$	−24.9132	−	58.5614i	−0.978681	−	2.30051i
$649$	−1.90394	+	1.09924i	−0.0747361	+	0.0431489i
$650$	5.46186	−	9.46022i	0.214232	−	0.371060i
$651$	0.979659	+	11.3266i	0.0383959	+	0.443923i
$652$	20.8484	+	36.1105i	0.816486	+	1.41420i
$653$	39.9950	+	23.0911i	1.56512	+	0.903625i	0.996724	+	0.0808728i	$0.0257707\pi$
$653$	39.9950	+	23.0911i	1.56512	+	0.903625i	0.568400	+	0.822752i	$0.307563\pi$
$654$	−8.60040	−	22.6867i	−0.336302	−	0.887119i
$655$	−10.1665	−	17.6089i	−0.397238	−	0.688036i
$656$	−18.6584	−	32.3174i	−0.728490	−	1.26178i
$657$	−10.9239	+	32.6915i	−0.426182	+	1.27542i
$658$	36.4160	+	37.4711i	1.41964	+	1.46078i
$659$	−16.3479	−	9.43847i	−0.636824	−	0.367671i	0.146566	−	0.989201i	$-0.453178\pi$
$659$	−16.3479	−	9.43847i	−0.636824	−	0.367671i	−0.783390	+	0.621530i	$0.786511\pi$
$660$	4.00175	−	4.89990i	0.155768	−	0.190728i
$661$			3.32787i			0.129439i	0.997903	+	0.0647195i	$0.0206153\pi$
$661$			3.32787i			0.129439i	−0.997903	+	0.0647195i	$0.979385\pi$
$662$		−	68.6463i		−	2.66801i
$663$	5.95995	−	7.29759i	0.231465	−	0.283415i
$664$	−53.4944	−	30.8850i	−2.07599	−	1.19857i
$665$	−4.39336	−	4.52066i	−0.170367	−	0.175304i
$666$	13.7424	+	15.5205i	0.532509	+	0.601407i
$667$	13.9181	+	24.1068i	0.538909	+	0.933418i
$668$	−52.1494	−	90.3254i	−2.01772	−	3.49480i
$669$	4.93579	+	13.0199i	0.190829	+	0.503379i
$670$	−38.3106	−	22.1187i	−1.48007	−	0.854518i
$671$	4.45589	+	7.71783i	0.172018	+	0.297944i
$672$	3.51642	+	40.6560i	0.135649	+	1.56834i
$673$	−16.3678	+	28.3499i	−0.630934	+	1.09281i	0.356427	+	0.934323i	$0.383995\pi$
$673$	−16.3678	+	28.3499i	−0.630934	+	1.09281i	−0.987361	+	0.158487i	$0.949339\pi$
$674$	−7.80099	+	4.50390i	−0.300483	+	0.173484i
$675$	−17.8088	+	0.710416i	−0.685460	+	0.0273439i
$676$	27.1585	−	47.0399i	1.04456	−	1.80923i
$677$	−33.8456			−1.30079			−0.650396	−	0.759596i	$-0.725397\pi$
$677$	−33.8456			−1.30079			−0.650396	+	0.759596i	$0.725397\pi$
$678$	−4.66671	+	28.6909i	−0.179224	+	1.10187i
$679$	−25.9622	+	6.56071i	−0.996339	+	0.251777i
$680$	33.9917	−	19.6251i	1.30352	−	0.752590i
$681$	5.79040	−	35.5993i	0.221889	−	1.36417i
$682$	3.43672	−	1.98419i	0.131599	−	0.0759785i
$683$	−4.79617	−	2.76907i	−0.183520	−	0.105956i	0.405425	−	0.914128i	$-0.367123\pi$
$683$	−4.79617	−	2.76907i	−0.183520	−	0.105956i	−0.588946	+	0.808173i	$0.700457\pi$
$684$	17.8741	+	20.1868i	0.683435	+	0.771860i
$685$			21.8052i			0.833133i
$686$	35.3878	−	32.4788i	1.35111	−	1.24005i
$687$	3.69562	+	9.74854i	0.140997	+	0.371930i
$688$	−19.9622	+	34.5756i	−0.761052	+	1.31818i
$689$	−3.79691			−0.144651
$690$	−4.29130	+	26.3829i	−0.163367	+	1.00438i
$691$		−	14.2510i		−	0.542134i	−0.962561	−	0.271067i	$-0.912624\pi$
$691$		−	14.2510i		−	0.542134i	0.962561	−	0.271067i	$-0.0873764\pi$
$692$	−19.2248			−0.730818
$693$	4.88160	+	0.366638i	0.185437	+	0.0139274i
$694$	−24.4003			−0.926222
$695$			7.88913i			0.299252i
$696$	67.1287	−	25.4481i	2.54451	−	0.964610i
$697$	−18.6031			−0.704642
$698$	18.4557	−	31.9662i	0.698559	−	1.20994i
$699$	35.9587	+	5.84886i	1.36008	+	0.221224i
$700$	41.2683	+	11.6919i	1.55979	+	0.441910i
$701$			18.6105i			0.702908i	0.936205	+	0.351454i	$0.114313\pi$
$701$			18.6105i			0.702908i	−0.936205	+	0.351454i	$0.885687\pi$
$702$	16.5352	−	0.659611i	0.624081	−	0.0248954i
$703$	−4.38760	−	2.53318i	−0.165482	−	0.0955408i
$704$	2.84293	−	1.64137i	0.107147	−	0.0618614i
$705$	15.4527	−	5.85804i	0.581982	−	0.220627i
$706$	38.5544	−	22.2594i	1.45101	−	0.837743i
$707$	4.36111	+	1.23556i	0.164017	+	0.0464681i
$708$	−22.6015	−	18.4587i	−0.849416	−	0.693719i
$709$	−13.4947			−0.506803			−0.253401	−	0.967361i	$-0.581549\pi$
$709$	−13.4947			−0.506803			−0.253401	+	0.967361i	$0.581549\pi$
$710$	16.9137	−	29.2955i	0.634762	−	1.09944i
$711$	−2.41621	−	11.8518i	−0.0906148	−	0.444475i
$712$	−9.93557	+	5.73630i	−0.372351	+	0.214977i
$713$	−5.89074	+	10.2031i	−0.220610	+	0.382107i
$714$	47.6962	+	22.2986i	1.78499	+	0.834503i
$715$	0.474470	+	0.821807i	0.0177442	+	0.0307338i
$716$	34.0676	+	19.6689i	1.27317	+	0.735063i
$717$	−14.8267	−	2.41164i	−0.553714	−	0.0900643i
$718$	36.6417	+	63.4652i	1.36745	+	2.36850i
$719$	18.8692	+	32.6824i	0.703702	+	1.21885i	0.967158	+	0.254176i	$0.0818042\pi$
$719$	18.8692	+	32.6824i	0.703702	+	1.21885i	−0.263456	+	0.964671i	$0.584863\pi$
$720$	31.6817	+	10.5865i	1.18071	+	0.394534i
$721$	18.9954	−	4.80017i	0.707424	−	0.178768i
$722$	34.5538	+	19.9496i	1.28596	+	0.742449i
$723$	14.4856	+	2.35615i	0.538724	+	0.0876261i
$724$			59.8847i			2.22560i
$725$		−	20.1054i		−	0.746697i
$726$	16.9103	+	44.6071i	0.627601	+	1.65552i
$727$	−1.98480	−	1.14592i	−0.0736121	−	0.0424999i	0.462742	−	0.886493i	$-0.346866\pi$
$727$	−1.98480	−	1.14592i	−0.0736121	−	0.0424999i	−0.536354	+	0.843993i	$0.680199\pi$
$728$	−22.1031	−	6.26211i	−0.819197	−	0.232089i
$729$	−15.3197	−	22.2330i	−0.567395	−	0.823446i
$730$	−18.6685	−	32.3347i	−0.690950	−	1.19676i
$731$	9.95149	+	17.2365i	0.368069	+	0.637514i
$732$	−74.8242	+	91.6177i	−2.76558	+	3.38629i
$733$	−21.4678	−	12.3944i	−0.792930	−	0.457798i	0.0480633	−	0.998844i	$-0.484695\pi$
$733$	−21.4678	−	12.3944i	−0.792930	−	0.457798i	−0.840993	+	0.541046i	$0.818028\pi$
$734$	−29.9170	−	51.8178i	−1.10426	−	1.91263i
$735$	−4.97729	−	14.3531i	−0.183590	−	0.529423i
$736$	−21.1444	+	36.6232i	−0.779394	+	1.34995i
$737$	−7.27099	+	4.19791i	−0.267830	+	0.154632i
$738$	−21.6597	−	24.4622i	−0.797306	−	0.900464i
$739$	8.10081	−	14.0310i	0.297993	−	0.516139i	−0.677684	−	0.735354i	$-0.737016\pi$
$739$	8.10081	−	14.0310i	0.297993	−	0.516139i	0.975677	+	0.219214i	$0.0703494\pi$
$740$	−15.7786			−0.580035
$741$	−3.78173	+	1.43363i	−0.138925	+	0.0526658i
$742$	−5.19828	−	20.5708i	−0.190835	−	0.755177i
$743$	−18.8312	+	10.8722i	−0.690848	+	0.398862i	−0.803930	−	0.594724i	$-0.797261\pi$
$743$	−18.8312	+	10.8722i	−0.690848	+	0.398862i	0.113081	+	0.993586i	$0.463928\pi$
$744$	23.5337	+	19.2200i	0.862787	+	0.704639i
$745$	−11.5315	+	6.65769i	−0.422480	+	0.243919i
$746$	−31.1591	−	17.9897i	−1.14081	−	0.658649i
$747$	−24.8555	−	8.30549i	−0.909417	−	0.303882i
$748$		−	12.9138i		−	0.472176i
$749$	−0.109639	+	0.386988i	−0.00400612	+	0.0141402i
$750$	30.0140	−	36.7503i	1.09596	−	1.34193i
$751$	3.78997	−	6.56443i	0.138298	−	0.239539i	−0.788554	−	0.614965i	$-0.789170\pi$
$751$	3.78997	−	6.56443i	0.138298	−	0.239539i	0.926853	+	0.375426i	$0.122503\pi$
$752$	67.6680			2.46760
$753$	−31.4496	−	25.6849i	−1.14609	−	0.936011i
$754$			18.6676i			0.679834i
$755$	−11.8900			−0.432720
$756$	18.4180	+	62.3130i	0.669858	+	2.26630i
$757$	10.3436			0.375944			0.187972	−	0.982174i	$-0.439809\pi$
$757$	10.3436			0.375944			0.187972	+	0.982174i	$0.439809\pi$
$758$		−	59.0844i		−	2.14604i
$759$	3.92915	+	3.20894i	0.142619	+	0.116477i
$760$	−16.8478			−0.611135
$761$	−17.2169	+	29.8206i	−0.624114	+	1.08100i	0.364598	+	0.931165i	$0.381207\pi$
$761$	−17.2169	+	29.8206i	−0.624114	+	1.08100i	−0.988711	+	0.149832i	$0.952127\pi$
$762$	−8.33058	+	10.2003i	−0.301785	+	0.369517i
$763$	3.50100	+	13.8542i	0.126745	+	0.501557i
$764$			17.9629i			0.649874i
$765$	12.4674	−	11.0391i	0.450760	−	0.399120i
$766$	34.2121	+	19.7523i	1.23613	+	0.713681i
$767$	3.79070	−	2.18856i	0.136874	−	0.0790245i
$768$	−28.2172	−	23.0450i	−1.01820	−	0.831564i
$769$	12.9344	−	7.46765i	0.466425	−	0.269290i	−0.248317	−	0.968679i	$-0.579877\pi$
$769$	12.9344	−	7.46765i	0.466425	−	0.269290i	0.714742	+	0.699388i	$0.246544\pi$
$770$	−3.80277	+	3.69569i	−0.137042	+	0.133183i
$771$	−39.7073	+	15.0528i	−1.43002	+	0.542114i
$772$	−32.0877			−1.15486
$773$	−19.9924	+	34.6278i	−0.719076	+	1.24548i	0.242290	+	0.970204i	$0.422101\pi$
$773$	−19.9924	+	34.6278i	−0.719076	+	1.24548i	−0.961366	+	0.275272i	$0.911232\pi$
$774$	−11.0785	+	33.1544i	−0.398210	+	1.19171i
$775$	7.36945	−	4.25476i	0.264719	−	0.152835i
$776$	−35.7845	+	61.9806i	−1.28459	+	2.22497i
$777$	−6.99319	−	10.0084i	−0.250879	−	0.359048i
$778$	−18.3466	−	31.7772i	−0.657758	−	1.13927i
$779$	6.91539	+	3.99260i	0.247770	+	0.143050i
$780$	−7.96740	+	9.75560i	−0.285279	+	0.349306i
$781$	−3.21007	−	5.56000i	−0.114865	−	0.198952i
$782$	27.2811	+	47.2523i	0.975571	+	1.68974i
$783$	25.7492	−	16.2681i	0.920201	−	0.581376i
$784$	1.77622	−	62.1796i	0.0634364	−	2.22070i
$785$	25.8383	+	14.9178i	0.922209	+	0.532438i
$786$	−25.8403	−	68.1632i	−0.921695	−	2.43130i
$787$		−	2.24117i		−	0.0798892i	−0.999202	−	0.0399446i	$-0.987282\pi$
$787$		−	2.24117i		−	0.0798892i	0.999202	−	0.0399446i	$-0.0127181\pi$
$788$			30.3180i			1.08003i
$789$	18.0436	+	2.93488i	0.642369	+	0.104485i
$790$	11.3468	+	6.55108i	0.403701	+	0.233077i
$791$	4.66671	−	16.4719i	0.165929	−	0.585674i
$792$	9.79551	−	8.67333i	0.348068	−	0.308193i
$793$	−8.87159	−	15.3660i	−0.315039	−	0.545664i
$794$	−12.5883	−	21.8036i	−0.446742	−	0.773780i
$795$	−6.62349	−	1.07734i	−0.234911	−	0.0382094i
$796$	65.6605	+	37.9091i	2.32727	+	1.34365i
$797$	22.1077	+	38.2916i	0.783094	+	1.35636i	0.930131	+	0.367227i	$0.119693\pi$
$797$	22.1077	+	38.2916i	0.783094	+	1.35636i	−0.147037	+	0.989131i	$0.546974\pi$
$798$	−12.9446	−	18.5257i	−0.458233	−	0.655804i
$799$	16.8668	−	29.2142i	0.596705	−	1.03352i
$800$	26.4522	−	15.2722i	0.935226	−	0.539953i
$801$	−3.64414	+	3.22666i	−0.128759	+	0.114009i
$802$	−11.3225	+	19.6112i	−0.399812	+	0.692495i
$803$	−7.08619			−0.250066
$804$	−86.3133	−	70.4921i	−3.04404	−	2.48607i
$805$	4.29130	−	15.1468i	0.151249	−	0.533856i
$806$	−6.84243	+	3.95048i	−0.241014	+	0.139150i
$807$	−3.70725	+	1.40540i	−0.130502	+	0.0494725i
$808$	10.4914	−	6.05723i	0.369087	−	0.213093i
$809$	−4.31478	−	2.49114i	−0.151699	−	0.0875837i	0.422229	−	0.906489i	$-0.361248\pi$
$809$	−4.31478	−	2.49114i	−0.151699	−	0.0875837i	−0.573928	+	0.818906i	$0.694581\pi$
$810$	29.0318	+	3.54108i	1.02008	+	0.124421i
$811$			36.5749i			1.28432i	0.766571	+	0.642160i	$0.221961\pi$
$811$			36.5749i			1.28432i	−0.766571	+	0.642160i	$0.778039\pi$
$812$	−71.0653	+	17.9584i	−2.49390	+	0.630215i
$813$	−41.3049	−	6.71844i	−1.44863	−	0.235626i
$814$	−2.13091	+	3.69084i	−0.0746883	+	0.129364i
$815$	−11.0539			−0.387200
$816$	63.7581	−	24.1704i	2.23198	−	0.846133i
$817$		−	8.54318i		−	0.298888i
$818$	−38.6225			−1.35040
$819$	−9.71916	−	0.729969i	−0.339615	−	0.0255072i
$820$	24.8690			0.868465
$821$			40.2294i			1.40402i	0.712169	+	0.702008i	$0.247713\pi$
$821$			40.2294i			1.40402i	−0.712169	+	0.702008i	$0.752287\pi$
$822$	−12.5506	+	77.1609i	−0.437752	+	2.69129i
$823$	−35.8032			−1.24802			−0.624011	−	0.781416i	$-0.714498\pi$
$823$	−35.8032			−1.24802			−0.624011	+	0.781416i	$0.714498\pi$
$824$	26.1819	−	45.3483i	0.912089	−	1.57978i
$825$	−1.29886	−	3.42620i	−0.0452204	−	0.119285i
$826$	17.0469	+	17.5408i	0.593138	+	0.610323i
$827$		−	32.0733i		−	1.11530i	−0.830077	−	0.557648i	$-0.811704\pi$
$827$		−	32.0733i		−	1.11530i	0.830077	−	0.557648i	$-0.188296\pi$
$828$	−21.3406	+	63.8651i	−0.741635	+	2.21947i
$829$	−14.0640	−	8.11986i	−0.488463	−	0.282014i	0.235474	−	0.971881i	$-0.424336\pi$
$829$	−14.0640	−	8.11986i	−0.488463	−	0.282014i	−0.723937	+	0.689866i	$0.757669\pi$
$830$	24.5842	−	14.1937i	0.853332	−	0.492671i
$831$	−3.16197	+	19.4397i	−0.109687	+	0.674357i
$832$	−5.66023	+	3.26793i	−0.196233	+	0.113295i
$833$	−26.4019	−	16.2656i	−0.914773	−	0.563570i
$834$	−4.54081	+	27.9169i	−0.157236	+	0.966682i
$835$	27.6497			0.956857
$836$	−2.77157	+	4.80050i	−0.0958568	+	0.166029i
$837$	11.4120	+	5.99542i	0.394458	+	0.207232i
$838$	9.60684	−	5.54651i	0.331863	−	0.191601i
$839$	1.35145	−	2.34077i	0.0466571	−	0.0808125i	−0.841754	−	0.539862i	$-0.818477\pi$
$839$	1.35145	−	2.34077i	0.0466571	−	0.0808125i	0.888411	+	0.459049i	$0.151810\pi$
$840$	−36.7808	−	17.1955i	−1.26906	−	0.593300i
$841$	2.67914	+	4.64041i	0.0923842	+	0.160014i
$842$	−25.9053	−	14.9565i	−0.892757	−	0.515434i
$843$	12.5047	+	32.9857i	0.430686	+	1.13609i
$844$	19.1927	+	33.2427i	0.660639	+	1.14426i
$845$	7.19974	+	12.4703i	0.247679	+	0.428992i
$846$	58.0534	−	11.8353i	1.99592	−	0.406906i
$847$	−6.88375	−	27.2405i	−0.236528	−	0.935996i
$848$	−23.7962	−	13.7388i	−0.817166	−	0.471791i
$849$	−13.3238	+	16.3142i	−0.457272	+	0.559902i
$850$		−	39.4092i		−	1.35172i
$851$		−	12.6526i		−	0.433727i
$852$	53.9041	−	66.0023i	1.84672	−	2.26120i
$853$	41.3187	+	23.8554i	1.41473	+	0.816793i	0.995829	−	0.0912411i	$-0.0290834\pi$
$853$	41.3187	+	23.8554i	1.41473	+	0.816793i	0.418897	+	0.908034i	$0.362417\pi$
$854$	71.1037	−	69.1015i	2.43312	−	2.36461i
$855$	−7.00378	+	1.42785i	−0.239524	+	0.0488316i
$856$	0.537495	+	0.930969i	0.0183712	+	0.0318199i
$857$	8.93973	+	15.4841i	0.305375	+	0.528926i	0.977345	−	0.211653i	$-0.0678847\pi$
$857$	8.93973	+	15.4841i	0.305375	+	0.528926i	−0.671969	+	0.740579i	$0.734551\pi$
$858$	1.20597	+	3.18118i	0.0411711	+	0.108604i
$859$	29.1901	+	16.8529i	0.995953	+	0.575014i	0.907048	−	0.421026i	$-0.138330\pi$
$859$	29.1901	+	16.8529i	0.995953	+	0.575014i	0.0889047	+	0.996040i	$0.471663\pi$
$860$	−13.3034	−	23.0422i	−0.453642	−	0.785731i
$861$	11.0221	+	15.7744i	0.375633	+	0.537590i
$862$	21.6367	−	37.4759i	0.736950	−	1.27643i
$863$	16.4318	−	9.48693i	0.559347	−	0.322939i	−0.193537	−	0.981093i	$-0.561996\pi$
$863$	16.4318	−	9.48693i	0.559347	−	0.322939i	0.752883	+	0.658154i	$0.228662\pi$
$864$	40.9628	+	21.5202i	1.39358	+	0.732131i
$865$	2.54826	−	4.41371i	0.0866434	−	0.150071i
$866$	−32.0309			−1.08846
$867$	0.729981	−	4.48791i	0.0247915	−	0.152417i
$868$	−21.6215	−	22.2479i	−0.733881	−	0.755144i
$869$	2.15351	−	1.24333i	0.0730530	−	0.0421772i
$870$	−5.29678	+	32.5645i	−0.179578	+	1.10404i
$871$	14.4764	−	8.35795i	0.490514	−	0.283198i
$872$	33.0748	+	19.0957i	1.12005	+	0.646663i
$873$	−9.62305	+	28.7986i	−0.325691	+	0.974684i
$874$		−	23.4204i		−	0.792206i
$875$	−20.0411	+	19.4768i	−0.677514	+	0.658437i
$876$	−33.3415	−	87.9501i	−1.12650	−	2.97156i
$877$	−18.6188	+	32.2487i	−0.628712	+	1.08896i	0.359098	+	0.933300i	$0.383084\pi$
$877$	−18.6188	+	32.2487i	−0.628712	+	1.08896i	−0.987810	+	0.155662i	$0.950249\pi$
$878$	57.4070			1.93739
$879$	7.48981	−	46.0473i	0.252625	−	1.55314i
$880$			6.86730i			0.231497i
$881$	4.71527			0.158862			0.0794308	−	0.996840i	$-0.474690\pi$
$881$	4.71527			0.158862			0.0794308	+	0.996840i	$0.474690\pi$
$882$	−9.35152	−	53.6555i	−0.314882	−	1.80667i
$883$	30.1766			1.01552			0.507762	−	0.861497i	$-0.330473\pi$
$883$	30.1766			1.01552			0.507762	+	0.861497i	$0.330473\pi$
$884$			25.7112i			0.864760i
$885$	7.23365	−	2.74224i	0.243156	−	0.0921793i
$886$	−12.6650			−0.425490
$887$	19.2217	−	33.2930i	0.645402	−	1.11787i	−0.338806	−	0.940856i	$-0.610023\pi$
$887$	19.2217	−	33.2930i	0.645402	−	1.11787i	0.984208	−	0.177013i	$-0.0566436\pi$
$888$	−32.2084	−	5.23886i	−1.08084	−	0.175805i
$889$	5.56255	−	5.40592i	0.186562	−	0.181309i
$890$		−	5.27243i		−	0.176732i
$891$	3.33701	−	4.43574i	0.111794	−	0.148603i
$892$	−32.9058	−	18.9981i	−1.10177	−	0.636105i
$893$	−12.5399	+	7.23993i	−0.419632	+	0.242275i
$894$	−44.6378	+	16.9220i	−1.49291	+	0.565955i
$895$	−9.03135	+	5.21425i	−0.301885	+	0.174293i
$896$	7.38607	+	7.60007i	0.246751	+	0.253901i
$897$	−7.82286	−	6.38894i	−0.261198	−	0.213320i
$898$	32.2659			1.07673
$899$	−7.27098	+	12.5937i	−0.242501	+	0.420023i
$900$	36.4130	−	32.2415i	1.21377	−	1.07472i
$901$	−11.8628	+	6.84900i	−0.395208	+	0.228173i
$902$	3.35857	−	5.81721i	0.111828	−	0.193692i
$903$	8.71946	−	18.6508i	0.290165	−	0.620658i
$904$	−22.8781	−	39.6261i	−0.760916	−	1.31794i
$905$	−13.7486	−	7.93774i	−0.457018	−	0.263859i
$906$	−42.0744	−	6.84360i	−1.39783	−	0.227364i
$907$	−21.7951	−	37.7503i	−0.723695	−	1.25348i	−0.959509	−	0.281678i	$-0.909109\pi$
$907$	−21.7951	−	37.7503i	−0.723695	−	1.25348i	0.235814	−	0.971798i	$-0.424224\pi$
$908$	49.2103	+	85.2348i	1.63310	+	2.82862i
$909$	3.84802	−	3.40719i	0.127631	−	0.113009i
$910$	7.57123	−	7.35804i	0.250984	−	0.243917i
$911$	−1.67736	−	0.968423i	−0.0555734	−	0.0320853i	0.471956	−	0.881622i	$-0.343548\pi$
$911$	−1.67736	−	0.968423i	−0.0555734	−	0.0320853i	−0.527529	+	0.849537i	$0.676881\pi$
$912$	−28.8885	−	4.69886i	−0.956595	−	0.155595i
$913$		−	5.38766i		−	0.178306i
$914$			27.9467i			0.924393i
$915$	−11.1160	−	29.3224i	−0.367483	−	0.969369i
$916$	−24.6379	−	14.2247i	−0.814058	−	0.469997i
$917$	10.5189	+	41.6258i	0.347366	+	1.37460i
$918$	50.4716	−	31.8876i	1.66581	−	1.05245i
$919$	4.61421	+	7.99205i	0.152209	+	0.263634i	0.932039	−	0.362357i	$-0.118028\pi$
$919$	4.61421	+	7.99205i	0.152209	+	0.263634i	−0.779830	+	0.625991i	$0.784695\pi$
$920$	−21.0377	−	36.4384i	−0.693594	−	1.20134i
$921$	23.4132	−	28.6680i	0.771490	−	0.944642i
$922$	−1.49724	−	0.864434i	−0.0493091	−	0.0284686i
$923$	6.39118	+	11.0698i	0.210368	+	0.364368i
$924$	−10.9502	+	7.65130i	−0.360236	+	0.251709i
$925$	−4.56937	+	7.91438i	−0.150240	+	0.260223i
$926$	−93.3880	+	53.9176i	−3.06892	+	1.77184i
$927$	7.04074	−	21.0706i	0.231248	−	0.692048i
$928$	−26.0987	+	45.2043i	−0.856732	+	1.48390i
$929$	53.3699			1.75101			0.875504	−	0.483211i	$-0.160529\pi$
$929$	53.3699			1.75101			0.875504	+	0.483211i	$0.160529\pi$
$930$	−13.0571	+	4.94989i	−0.428160	+	0.162313i
$931$	6.32355	+	11.7129i	0.207246	+	0.383874i
$932$	−86.0952	+	49.7071i	−2.82014	+	1.62821i
$933$	21.7742	+	17.7830i	0.712856	+	0.582190i
$934$	−88.3010	+	50.9806i	−2.88930	+	1.66814i
$935$	2.96481	+	1.71173i	0.0969595	+	0.0559796i
$936$	−19.5027	+	17.2684i	−0.637465	+	0.564436i
$937$		−	28.6378i		−	0.935555i	−0.883846	−	0.467778i	$-0.845055\pi$
$937$		−	28.6378i		−	0.935555i	0.883846	−	0.467778i	$-0.154945\pi$
$938$	65.1008	+	66.9870i	2.12562	+	2.18720i
$939$	15.4268	−	18.8891i	0.503434	−	0.616424i
$940$	−22.5480	+	39.0542i	−0.735433	+	1.27381i
$941$	−1.37662			−0.0448764			−0.0224382	−	0.999748i	$-0.507143\pi$
$941$	−1.37662			−0.0448764			−0.0224382	+	0.999748i	$0.507143\pi$
$942$	82.8464	+	67.6607i	2.69928	+	2.20450i
$943$			19.9421i			0.649404i
$944$	31.6764			1.03098
$945$	−16.7474	−	4.03112i	−0.544792	−	0.131132i
$946$	−7.18651			−0.233653
$947$		−	54.2801i		−	1.76387i	−0.471374	−	0.881933i	$-0.656242\pi$
$947$		−	54.2801i		−	1.76387i	0.471374	−	0.881933i	$-0.343758\pi$
$948$	25.5642	+	20.8783i	0.830286	+	0.678095i
$949$	14.1085			0.457980
$950$	−8.45802	+	14.6497i	−0.274414	+	0.475300i
$951$	−22.2374	+	27.2283i	−0.721097	+	0.882939i
$952$	−80.3533	+	20.3055i	−2.60427	+	0.658104i
$953$			11.2998i			0.366036i	0.983110	+	0.183018i	$0.0585867\pi$
$953$			11.2998i			0.366036i	−0.983110	+	0.183018i	$0.941413\pi$
$954$	−22.8181	−	7.62468i	−0.738763	−	0.246858i
$955$	−4.12399	−	2.38099i	−0.133449	−	0.0770469i
$956$	35.4994	−	20.4956i	1.14813	−	0.662874i
$957$	4.84978	+	3.96082i	0.156771	+	0.128035i
$958$	−85.6097	+	49.4268i	−2.76592	+	1.59691i
$959$	12.5506	−	44.2994i	0.405280	−	1.43050i
$960$	−10.8012	+	4.09467i	−0.348607	+	0.132155i
$961$	24.8452			0.801458
$962$	4.24260	−	7.34839i	0.136787	−	0.236922i
$963$	0.302340	+	0.341458i	0.00974279	+	0.0110033i
$964$	−34.6825	+	20.0240i	−1.11705	+	0.644928i
$965$	4.25324	−	7.36682i	0.136917	−	0.237146i
$966$	23.9036	−	51.1294i	0.769086	−	1.64506i
$967$	5.93412	+	10.2782i	0.190829	+	0.330525i	0.945525	−	0.325549i	$-0.105549\pi$
$967$	5.93412	+	10.2782i	0.190829	+	0.330525i	−0.754696	+	0.656074i	$0.772216\pi$
$968$	−65.0324	−	37.5465i	−2.09022	−	1.20679i
$969$	−9.22933	+	11.3007i	−0.296489	+	0.363032i
$970$	−16.4454	−	28.4842i	−0.528029	−	0.914573i
$971$	−28.0837	−	48.6424i	−0.901249	−	1.56101i	−0.825875	−	0.563853i	$-0.809318\pi$
$971$	−28.0837	−	48.6424i	−0.901249	−	1.56101i	−0.0753736	−	0.997155i	$-0.524015\pi$
$972$	70.7552	+	20.5465i	2.26947	+	0.659029i
$973$	4.54081	−	16.0275i	0.145572	−	0.513819i
$974$	17.0826	+	9.86263i	0.547361	+	0.316019i
$975$	2.58600	+	6.82150i	0.0828182	+	0.218463i
$976$		−	128.404i		−	4.11011i
$977$		−	21.6651i		−	0.693129i	−0.938026	−	0.346565i	$-0.887348\pi$
$977$		−	21.6651i		−	0.693129i	0.938026	−	0.346565i	$-0.112652\pi$
$978$	−39.1157	−	6.36236i	−1.25078	−	0.203446i
$979$	−0.866594	−	0.500328i	−0.0276964	−	0.0159906i
$980$	35.2948	+	21.7443i	1.12745	+	0.694596i
$981$	15.3678	+	5.13516i	0.490656	+	0.163953i
$982$	−4.99072	−	8.64419i	−0.159260	−	0.275847i
$983$	−9.70006	−	16.8010i	−0.309384	−	0.535869i	0.668844	−	0.743403i	$-0.266789\pi$
$983$	−9.70006	−	16.8010i	−0.309384	−	0.535869i	−0.978228	+	0.207534i	$0.933456\pi$
$984$	50.7644	+	8.25707i	1.61831	+	0.263226i
$985$	−6.96052	−	4.01866i	−0.221781	−	0.128045i
$986$	33.6733	+	58.3238i	1.07238	+	1.85741i
$987$	−34.7654	+	3.00694i	−1.10660	+	0.0957118i
$988$	5.51814	−	9.55771i	0.175556	−	0.304071i
$989$	18.4771	−	10.6678i	0.587539	−	0.339216i
$990$	1.20111	+	5.89156i	0.0381737	+	0.187246i
$991$	−12.6630	+	21.9330i	−0.402254	+	0.696725i	−0.993998	−	0.109402i	$-0.965107\pi$
$991$	−12.6630	+	21.9330i	−0.402254	+	0.696725i	0.591743	+	0.806126i	$0.298440\pi$
$992$	−22.0923			−0.701430
$993$	35.5072	+	28.9988i	1.12679	+	0.920248i
$994$	−51.2238	+	49.7814i	−1.62472	+	1.57897i
$995$	−17.4066	+	10.0497i	−0.551828	+	0.318598i
$996$	66.8690	−	25.3497i	2.11882	−	0.803235i
$997$	4.82016	−	2.78292i	0.152656	−	0.0881360i	−0.421726	−	0.906723i	$-0.638576\pi$
$997$	4.82016	−	2.78292i	0.152656	−	0.0881360i	0.574382	+	0.818587i	$0.305242\pi$
$998$	−72.2309	−	41.7025i	−2.28643	−	1.32007i
$999$	−13.8333	+	0.551828i	−0.437666	+	0.0174591i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	63.2.i.b.38.1	yes	10
3.2	odd	2		189.2.i.b.143.5		10
4.3	odd	2		1008.2.ca.b.353.1		10
7.2	even	3		441.2.s.b.362.1		10
7.3	odd	6		441.2.o.c.146.5		10
7.4	even	3		441.2.o.d.146.5		10
7.5	odd	6		63.2.s.b.47.1	yes	10
7.6	odd	2		441.2.i.b.227.1		10
9.2	odd	6		567.2.p.c.80.5		10
9.4	even	3		189.2.s.b.17.5		10
9.5	odd	6		63.2.s.b.59.1	yes	10
9.7	even	3		567.2.p.d.80.1		10
12.11	even	2		3024.2.ca.b.2033.2		10
21.2	odd	6		1323.2.s.b.656.5		10
21.5	even	6		189.2.s.b.89.5		10
21.11	odd	6		1323.2.o.c.440.1		10
21.17	even	6		1323.2.o.d.440.1		10
21.20	even	2		1323.2.i.b.521.5		10
28.19	even	6		1008.2.df.b.929.1		10
36.23	even	6		1008.2.df.b.689.1		10
36.31	odd	6		3024.2.df.b.17.2		10
63.4	even	3		1323.2.o.d.881.1		10
63.5	even	6	inner	63.2.i.b.5.5	✓	10
63.13	odd	6		1323.2.s.b.962.5		10
63.23	odd	6		441.2.i.b.68.5		10
63.31	odd	6		1323.2.o.c.881.1		10
63.32	odd	6		441.2.o.c.293.5		10
63.40	odd	6		189.2.i.b.152.1		10
63.41	even	6		441.2.s.b.374.1		10
63.47	even	6		567.2.p.d.404.1		10
63.58	even	3		1323.2.i.b.1097.1		10
63.59	even	6		441.2.o.d.293.5		10
63.61	odd	6		567.2.p.c.404.5		10
84.47	odd	6		3024.2.df.b.1601.2		10
252.103	even	6		3024.2.ca.b.2609.2		10
252.131	odd	6		1008.2.ca.b.257.1		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
63.2.i.b.5.5	✓	10	63.5	even	6	inner
63.2.i.b.38.1	yes	10	1.1	even	1	trivial
63.2.s.b.47.1	yes	10	7.5	odd	6
63.2.s.b.59.1	yes	10	9.5	odd	6
189.2.i.b.143.5		10	3.2	odd	2
189.2.i.b.152.1		10	63.40	odd	6
189.2.s.b.17.5		10	9.4	even	3
189.2.s.b.89.5		10	21.5	even	6
441.2.i.b.68.5		10	63.23	odd	6
441.2.i.b.227.1		10	7.6	odd	2
441.2.o.c.146.5		10	7.3	odd	6
441.2.o.c.293.5		10	63.32	odd	6
441.2.o.d.146.5		10	7.4	even	3
441.2.o.d.293.5		10	63.59	even	6
441.2.s.b.362.1		10	7.2	even	3
441.2.s.b.374.1		10	63.41	even	6
567.2.p.c.80.5		10	9.2	odd	6
567.2.p.c.404.5		10	63.61	odd	6
567.2.p.d.80.1		10	9.7	even	3
567.2.p.d.404.1		10	63.47	even	6
1008.2.ca.b.257.1		10	252.131	odd	6
1008.2.ca.b.353.1		10	4.3	odd	2
1008.2.df.b.689.1		10	36.23	even	6
1008.2.df.b.929.1		10	28.19	even	6
1323.2.i.b.521.5		10	21.20	even	2
1323.2.i.b.1097.1		10	63.58	even	3
1323.2.o.c.440.1		10	21.11	odd	6
1323.2.o.c.881.1		10	63.31	odd	6
1323.2.o.d.440.1		10	21.17	even	6
1323.2.o.d.881.1		10	63.4	even	3
1323.2.s.b.656.5		10	21.2	odd	6
1323.2.s.b.962.5		10	63.13	odd	6
3024.2.ca.b.2033.2		10	12.11	even	2
3024.2.ca.b.2609.2		10	252.103	even	6
3024.2.df.b.17.2		10	36.31	odd	6
3024.2.df.b.1601.2		10	84.47	odd	6

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:	\( N \)	\(=\)	\( 63 = 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	63.i (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q-2.59354i q^{2} +(1.34151 + 1.09561i) q^{3} -4.72645 q^{4} +(0.626493 - 1.08512i) q^{5} +(2.84151 - 3.47925i) q^{6} +(-1.89735 + 1.84393i) q^{7} +7.07116i q^{8} +(0.599280 + 2.93953i) q^{9} +O(q^{10})\)	\(q-2.59354i q^{2} +(1.34151 + 1.09561i) q^{3} -4.72645 q^{4} +(0.626493 - 1.08512i) q^{5} +(2.84151 - 3.47925i) q^{6} +(-1.89735 + 1.84393i) q^{7} +7.07116i q^{8} +(0.599280 + 2.93953i) q^{9} +(-2.81429 - 1.62483i) q^{10} +(-0.534126 + 0.308378i) q^{11} +(-6.34056 - 5.17834i) q^{12} +(1.06343 - 0.613974i) q^{13} +(4.78229 + 4.92086i) q^{14} +(2.02931 - 0.769301i) q^{15} +8.88643 q^{16} +(2.21501 - 3.83652i) q^{17} +(7.62380 - 1.55426i) q^{18} +(-1.64679 + 0.950775i) q^{19} +(-2.96109 + 5.12875i) q^{20} +(-4.56553 + 0.394883i) q^{21} +(0.799790 + 1.38528i) q^{22} +(-4.11267 - 2.37445i) q^{23} +(-7.74722 + 9.48600i) q^{24} +(1.71501 + 2.97049i) q^{25} +(-1.59237 - 2.75806i) q^{26} +(-2.41664 + 4.59998i) q^{27} +(8.96773 - 8.71522i) q^{28} +(-5.07629 - 2.93080i) q^{29} +(-1.99521 - 5.26309i) q^{30} -2.48089i q^{31} -8.90499i q^{32} +(-1.05440 - 0.171503i) q^{33} +(-9.95016 - 5.74473i) q^{34} +(0.812198 + 3.21405i) q^{35} +(-2.83247 - 13.8936i) q^{36} +(1.33217 + 2.30738i) q^{37} +(2.46587 + 4.27102i) q^{38} +(2.09928 + 0.341458i) q^{39} +(7.67303 + 4.43003i) q^{40} +(-2.09966 - 3.63671i) q^{41} +(1.02414 + 11.8409i) q^{42} +(-2.24637 + 3.89083i) q^{43} +(2.52452 - 1.45753i) q^{44} +(3.56518 + 1.19131i) q^{45} +(-6.15823 + 10.6664i) q^{46} +7.61476 q^{47} +(11.9212 + 9.73605i) q^{48} +(0.199880 - 6.99715i) q^{49} +(7.70409 - 4.44796i) q^{50} +(7.17478 - 2.71992i) q^{51} +(-5.02627 + 2.90192i) q^{52} +(-2.67782 - 1.54604i) q^{53} +(11.9302 + 6.26766i) q^{54} +0.772786i q^{55} +(-13.0387 - 13.4165i) q^{56} +(-3.25086 - 0.528768i) q^{57} +(-7.60114 + 13.1656i) q^{58} +3.56459 q^{59} +(-9.59142 + 3.63606i) q^{60} -14.4495i q^{61} -6.43428 q^{62} +(-6.55733 - 4.47230i) q^{63} -5.32259 q^{64} -1.53860i q^{65} +(-0.444799 + 2.73462i) q^{66} +13.6129 q^{67} +(-10.4692 + 18.1331i) q^{68} +(-2.91570 - 7.69121i) q^{69} +(8.33577 - 2.10647i) q^{70} +10.4095i q^{71} +(-20.7859 + 4.23760i) q^{72} +(9.95016 + 5.74473i) q^{73} +(5.98429 - 3.45503i) q^{74} +(-0.953796 + 5.86392i) q^{75} +(7.78348 - 4.49379i) q^{76} +(0.444799 - 1.56999i) q^{77} +(0.885586 - 5.44457i) q^{78} -4.03185 q^{79} +(5.56728 - 9.64281i) q^{80} +(-8.28173 + 3.52321i) q^{81} +(-9.43196 + 5.44554i) q^{82} +(-4.36775 + 7.56516i) q^{83} +(21.5787 - 1.86639i) q^{84} +(-2.77538 - 4.80710i) q^{85} +(10.0910 + 5.82605i) q^{86} +(-3.59887 - 9.49331i) q^{87} +(-2.18059 - 3.77689i) q^{88} +(0.811226 + 1.40508i) q^{89} +(3.08970 - 9.24645i) q^{90} +(-0.885586 + 3.12582i) q^{91} +(19.4383 + 11.2227i) q^{92} +(2.71808 - 3.32813i) q^{93} -19.7492i q^{94} +2.38261i q^{95} +(9.75639 - 11.9461i) q^{96} +(8.76527 + 5.06063i) q^{97} +(-18.1474 - 0.518397i) q^{98} +(-1.22658 - 1.38528i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9}+O(q^{10}) \) 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9	\( 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9} - 15 q^{10} - 12 q^{11} - 12 q^{12} - 6 q^{13} + 12 q^{14} - 3 q^{15} + 12 q^{16} + 12 q^{17} + 24 q^{18} + 3 q^{19} + 3 q^{20} - 9 q^{21} + 5 q^{22} - 15 q^{23} + 7 q^{25} - 3 q^{26} - 27 q^{27} + 2 q^{28} - 15 q^{29} + 6 q^{30} - 3 q^{34} + 15 q^{35} - 18 q^{36} + 6 q^{37} + 18 q^{38} + 18 q^{39} + 15 q^{40} + 9 q^{41} - 12 q^{42} + 3 q^{43} - 24 q^{44} + 30 q^{45} - 13 q^{46} + 30 q^{47} + 15 q^{48} + 4 q^{49} + 3 q^{50} + 21 q^{51} - 12 q^{52} + 9 q^{53} + 9 q^{54} - 30 q^{56} - 36 q^{57} + 8 q^{58} - 36 q^{59} - 48 q^{60} - 12 q^{62} - 15 q^{63} + 6 q^{64} - 39 q^{66} + 20 q^{67} - 27 q^{68} + 3 q^{69} + 6 q^{70} - 30 q^{72} + 3 q^{73} - 30 q^{74} + 6 q^{75} - 9 q^{76} + 39 q^{77} + 24 q^{78} - 40 q^{79} + 30 q^{80} + 15 q^{81} + 9 q^{82} + 15 q^{83} + 93 q^{84} + 18 q^{85} + 54 q^{86} + 6 q^{87} - 8 q^{88} - 24 q^{89} - 24 q^{90} - 24 q^{91} + 39 q^{92} + 36 q^{93} + 33 q^{96} - 6 q^{97} - 45 q^{98} + 21 q^{99}+O(q^{100}) \) 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9 - 15 * q^10 - 12 * q^11 - 12 * q^12 - 6 * q^13 + 12 * q^14 - 3 * q^15 + 12 * q^16 + 12 * q^17 + 24 * q^18 + 3 * q^19 + 3 * q^20 - 9 * q^21 + 5 * q^22 - 15 * q^23 + 7 * q^25 - 3 * q^26 - 27 * q^27 + 2 * q^28 - 15 * q^29 + 6 * q^30 - 3 * q^34 + 15 * q^35 - 18 * q^36 + 6 * q^37 + 18 * q^38 + 18 * q^39 + 15 * q^40 + 9 * q^41 - 12 * q^42 + 3 * q^43 - 24 * q^44 + 30 * q^45 - 13 * q^46 + 30 * q^47 + 15 * q^48 + 4 * q^49 + 3 * q^50 + 21 * q^51 - 12 * q^52 + 9 * q^53 + 9 * q^54 - 30 * q^56 - 36 * q^57 + 8 * q^58 - 36 * q^59 - 48 * q^60 - 12 * q^62 - 15 * q^63 + 6 * q^64 - 39 * q^66 + 20 * q^67 - 27 * q^68 + 3 * q^69 + 6 * q^70 - 30 * q^72 + 3 * q^73 - 30 * q^74 + 6 * q^75 - 9 * q^76 + 39 * q^77 + 24 * q^78 - 40 * q^79 + 30 * q^80 + 15 * q^81 + 9 * q^82 + 15 * q^83 + 93 * q^84 + 18 * q^85 + 54 * q^86 + 6 * q^87 - 8 * q^88 - 24 * q^89 - 24 * q^90 - 24 * q^91 + 39 * q^92 + 36 * q^93 + 33 * q^96 - 6 * q^97 - 45 * q^98 + 21 * q^99

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