LMFDB - Embedded newform 504.2.bt.a.11.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(11,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1, 4]))

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

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

chi := DirichletCharacter("504.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.bt (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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.18
Character	$\chi$	$=$	504.11
Dual form			504.2.bt.a.275.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.20074 + 0.747147i) q^{2} +(-1.53340 - 0.805409i) q^{3} +(0.883544 - 1.79425i) q^{4} +(-0.00857237 + 0.0148478i) q^{5} +(2.44297 - 0.178589i) q^{6} +(2.28903 - 1.32678i) q^{7} +(0.279666 + 2.81457i) q^{8} +(1.70263 + 2.47003i) q^{9} +O(q^{10})$	\(q+(-1.20074 + 0.747147i) q^{2} +(-1.53340 - 0.805409i) q^{3} +(0.883544 - 1.79425i) q^{4} +(-0.00857237 + 0.0148478i) q^{5} +(2.44297 - 0.178589i) q^{6} +(2.28903 - 1.32678i) q^{7} +(0.279666 + 2.81457i) q^{8} +(1.70263 + 2.47003i) q^{9} +(-0.000800297 - 0.0242331i) q^{10} +(-2.19750 + 1.26873i) q^{11} +(-2.79994 + 2.03970i) q^{12} +(1.24549 - 0.719084i) q^{13} +(-1.75722 + 3.30336i) q^{14} +(0.0251034 - 0.0158633i) q^{15} +(-2.43870 - 3.17061i) q^{16} +(0.457919 + 0.264380i) q^{17} +(-3.88989 - 1.69374i) q^{18} +(-0.320704 - 0.555476i) q^{19} +(0.0190666 + 0.0284997i) q^{20} +(-4.57860 + 0.190881i) q^{21} +(1.69070 - 3.16527i) q^{22} +(2.06696 - 3.58007i) q^{23} +(1.83804 - 4.54110i) q^{24} +(2.49985 + 4.32987i) q^{25} +(-0.958246 + 1.79400i) q^{26} +(-0.621432 - 5.15886i) q^{27} +(-0.358125 - 5.27937i) q^{28} +(0.983966 - 1.70428i) q^{29} +(-0.0182904 + 0.0378036i) q^{30} -6.05220i q^{31} +(5.29715 + 1.98500i) q^{32} +(4.39149 - 0.175580i) q^{33} +(-0.747372 + 0.0246819i) q^{34} +(7.73447e-5 + 0.0453607i) q^{35} +(5.93621 - 0.872576i) q^{36} +(3.20535 - 1.85061i) q^{37} +(0.800104 + 0.427368i) q^{38} +(-2.48899 + 0.0995144i) q^{39} +(-0.0441875 - 0.0199751i) q^{40} +(6.57757 - 3.79756i) q^{41} +(5.35508 - 3.65008i) q^{42} +(2.04308 - 3.53872i) q^{43} +(0.334832 + 5.06385i) q^{44} +(-0.0512700 + 0.00410630i) q^{45} +(0.192966 + 5.84305i) q^{46} +5.38101 q^{47} +(1.18587 + 6.82596i) q^{48} +(3.47931 - 6.07408i) q^{49} +(-6.23672 - 3.33129i) q^{50} +(-0.489240 - 0.774213i) q^{51} +(-0.189775 - 2.87007i) q^{52} +(-4.87960 + 8.45171i) q^{53} +(4.60060 + 5.73014i) q^{54} -0.0435040i q^{55} +(4.37448 + 6.07157i) q^{56} +(0.0443824 + 1.11007i) q^{57} +(0.0918608 + 2.78156i) q^{58} -12.5222i q^{59} +(-0.00628287 - 0.0590579i) q^{60} -4.80614i q^{61} +(4.52188 + 7.26711i) q^{62} +(7.17456 + 3.39495i) q^{63} +(-7.84357 + 1.57428i) q^{64} +0.0246570i q^{65} +(-5.14185 + 3.49192i) q^{66} +6.85363 q^{67} +(0.878957 - 0.588033i) q^{68} +(-6.05290 + 3.82494i) q^{69} +(-0.0339839 - 0.0544085i) q^{70} -10.0287 q^{71} +(-6.47589 + 5.48296i) q^{72} +(-1.89574 + 3.28352i) q^{73} +(-2.46611 + 4.61697i) q^{74} +(-0.345956 - 8.65283i) q^{75} +(-1.28002 + 0.0846376i) q^{76} +(-3.34682 + 5.81976i) q^{77} +(2.91428 - 1.97913i) q^{78} -14.5683i q^{79} +(0.0679819 - 0.00902968i) q^{80} +(-3.20209 + 8.41110i) q^{81} +(-5.06061 + 9.47429i) q^{82} +(5.09864 + 2.94370i) q^{83} +(-3.70290 + 8.38382i) q^{84} +(-0.00785091 + 0.00453272i) q^{85} +(0.190737 + 5.77556i) q^{86} +(-2.88146 + 1.82085i) q^{87} +(-4.18549 - 5.83019i) q^{88} +(10.6052 - 6.12293i) q^{89} +(0.0584939 - 0.0432368i) q^{90} +(1.89690 - 3.29850i) q^{91} +(-4.59732 - 6.87180i) q^{92} +(-4.87450 + 9.28044i) q^{93} +(-6.46119 + 4.02041i) q^{94} +0.0109968 q^{95} +(-6.52391 - 7.31017i) q^{96} +(-4.21383 + 7.29856i) q^{97} +(0.360491 + 9.89293i) q^{98} +(-6.87533 - 3.26772i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.20074	+	0.747147i	−0.849050	+	0.528312i
$2$	−1.20074	+	0.747147i	−0.849050	+	0.528312i
$3$	−1.53340	−	0.805409i	−0.885309	−	0.465003i
$3$	−1.53340	−	0.805409i	−0.885309	−	0.465003i
$4$	0.883544	−	1.79425i	0.441772	−	0.897127i
$5$	−0.00857237	+	0.0148478i	−0.00383368	+	0.00664013i	−0.867936	−	0.496676i	$-0.834554\pi$
$5$	−0.00857237	+	0.0148478i	−0.00383368	+	0.00664013i	0.864102	+	0.503316i	$0.167887\pi$
$6$	2.44297	−	0.178589i	0.997339	−	0.0729087i
$7$	2.28903	−	1.32678i	0.865172	−	0.501476i
$7$	2.28903	−	1.32678i	0.865172	−	0.501476i
$8$	0.279666	+	2.81457i	0.0988770	+	0.995100i
$9$	1.70263	+	2.47003i	0.567544	+	0.823343i
$10$	−0.000800297	−	0.0242331i	−0.000253076	−	0.00766318i
$11$	−2.19750	+	1.26873i	−0.662572	+	0.382536i	−0.793256	−	0.608888i	$-0.791616\pi$
$11$	−2.19750	+	1.26873i	−0.662572	+	0.382536i	0.130684	+	0.991424i	$0.458283\pi$
$12$	−2.79994	+	2.03970i	−0.808272	+	0.588810i
$13$	1.24549	−	0.719084i	0.345437	−	0.199438i	−0.317237	−	0.948346i	$-0.602755\pi$
$13$	1.24549	−	0.719084i	0.345437	−	0.199438i	0.662674	+	0.748908i	$0.269422\pi$
$14$	−1.75722	+	3.30336i	−0.469638	+	0.882859i
$15$	0.0251034	−	0.0158633i	0.00648167	−	0.00409589i
$16$	−2.43870	−	3.17061i	−0.609675	−	0.792651i
$17$	0.457919	+	0.264380i	0.111062	+	0.0641215i	0.554502	−	0.832182i	$-0.312909\pi$
$17$	0.457919	+	0.264380i	0.111062	+	0.0641215i	−0.443440	+	0.896304i	$0.646242\pi$
$18$	−3.88989	−	1.69374i	−0.916856	−	0.399219i
$19$	−0.320704	−	0.555476i	−0.0735746	−	0.127435i	0.826891	−	0.562362i	$-0.190107\pi$
$19$	−0.320704	−	0.555476i	−0.0735746	−	0.127435i	−0.900466	+	0.434927i	$0.856774\pi$
$20$	0.0190666	+	0.0284997i	0.00426343	+	0.00637272i
$21$	−4.57860	+	0.190881i	−0.999132	+	0.0416536i
$22$	1.69070	−	3.16527i	0.360458	−	0.674837i
$23$	2.06696	−	3.58007i	0.430990	−	0.746497i	−0.565969	−	0.824427i	$-0.691498\pi$
$23$	2.06696	−	3.58007i	0.430990	−	0.746497i	0.996959	+	0.0779297i	$0.0248310\pi$
$24$	1.83804	−	4.54110i	0.375188	−	0.926949i
$25$	2.49985	+	4.32987i	0.499971	+	0.865974i
$26$	−0.958246	+	1.79400i	−0.187928	+	0.351831i
$27$	−0.621432	−	5.15886i	−0.119595	−	0.992823i
$28$	−0.358125	−	5.27937i	−0.0676792	−	0.997707i
$29$	0.983966	−	1.70428i	0.182718	−	0.316477i	−0.760087	−	0.649821i	$-0.774844\pi$
$29$	0.983966	−	1.70428i	0.182718	−	0.316477i	0.942805	+	0.333344i	$0.108177\pi$
$30$	−0.0182904	+	0.0378036i	−0.00333935	+	0.00690197i
$31$		−	6.05220i		−	1.08701i	−0.839407	−	0.543504i	$-0.817097\pi$
$31$		−	6.05220i		−	1.08701i	0.839407	−	0.543504i	$-0.182903\pi$
$32$	5.29715	+	1.98500i	0.936412	+	0.350902i
$33$	4.39149	−	0.175580i	0.764461	−	0.0305645i
$34$	−0.747372	+	0.0246819i	−0.128173	+	0.00423291i
$35$	7.73447e−5		0.0453607i	1.30736e−5		0.00766735i
$36$	5.93621	−	0.872576i	0.989369	−	0.145429i
$37$	3.20535	−	1.85061i	0.526956	−	0.304238i	−0.212820	−	0.977091i	$-0.568265\pi$
$37$	3.20535	−	1.85061i	0.526956	−	0.304238i	0.739776	+	0.672853i	$0.234931\pi$
$38$	0.800104	+	0.427368i	0.129794	+	0.0693283i
$39$	−2.48899	+	0.0995144i	−0.398558	+	0.0159351i
$40$	−0.0441875	−	0.0199751i	−0.00698665	−	0.00315834i
$41$	6.57757	−	3.79756i	1.02724	−	0.593080i	0.111050	−	0.993815i	$-0.464579\pi$
$41$	6.57757	−	3.79756i	1.02724	−	0.593080i	0.916194	+	0.400735i	$0.131245\pi$
$42$	5.35508	−	3.65008i	0.826307	−	0.563220i
$43$	2.04308	−	3.53872i	0.311567	−	0.539650i	−0.667135	−	0.744937i	$-0.732480\pi$
$43$	2.04308	−	3.53872i	0.311567	−	0.539650i	0.978702	+	0.205287i	$0.0658129\pi$
$44$	0.334832	+	5.06385i	0.0504778	+	0.763405i
$45$	−0.0512700	+	0.00410630i	−0.00764289	+	0.000612132i
$46$	0.192966	+	5.84305i	0.0284513	+	0.861511i
$47$	5.38101			0.784902			0.392451	−	0.919773i	$-0.371627\pi$
$47$	5.38101			0.784902			0.392451	+	0.919773i	$0.371627\pi$
$48$	1.18587	+	6.82596i	0.171165	+	0.985242i
$49$	3.47931	−	6.07408i	0.497044	−	0.867725i
$50$	−6.23672	−	3.33129i	−0.882005	−	0.471115i
$51$	−0.489240	−	0.774213i	−0.0685073	−	0.108411i
$52$	−0.189775	−	2.87007i	−0.0263170	−	0.398007i
$53$	−4.87960	+	8.45171i	−0.670264	+	1.16093i	0.307565	+	0.951527i	$0.400486\pi$
$53$	−4.87960	+	8.45171i	−0.670264	+	1.16093i	−0.977829	+	0.209405i	$0.932847\pi$
$54$	4.60060	+	5.73014i	0.626062	+	0.779773i
$55$		−	0.0435040i		−	0.00586608i
$56$	4.37448	+	6.07157i	0.584564	+	0.811348i
$57$	0.0443824	+	1.11007i	0.00587860	+	0.147032i
$58$	0.0918608	+	2.78156i	0.0120619	+	0.365237i
$59$		−	12.5222i		−	1.63025i	−0.579286	−	0.815124i	$-0.696669\pi$
$59$		−	12.5222i		−	1.63025i	0.579286	−	0.815124i	$-0.303331\pi$
$60$	−0.00628287	−	0.0590579i	−0.000811116	−	0.00762434i
$61$		−	4.80614i		−	0.615363i	−0.951489	−	0.307681i	$-0.900447\pi$
$61$		−	4.80614i		−	0.615363i	0.951489	−	0.307681i	$-0.0995531\pi$
$62$	4.52188	+	7.26711i	0.574279	+	0.922923i
$63$	7.17456	+	3.39495i	0.903910	+	0.427723i
$64$	−7.84357	+	1.57428i	−0.980447	+	0.196785i
$65$			0.0246570i			0.00305833i
$66$	−5.14185	+	3.49192i	−0.632918	+	0.429825i
$67$	6.85363			0.837304			0.418652	−	0.908147i	$-0.362503\pi$
$67$	6.85363			0.837304			0.418652	+	0.908147i	$0.362503\pi$
$68$	0.878957	−	0.588033i	0.106589	−	0.0713094i
$69$	−6.05290	+	3.82494i	−0.728683	+	0.460469i
$70$	−0.0339839	−	0.0544085i	−0.00406186	−	0.00650306i
$71$	−10.0287			−1.19018			−0.595091	−	0.803658i	$-0.702884\pi$
$71$	−10.0287			−1.19018			−0.595091	+	0.803658i	$0.702884\pi$
$72$	−6.47589	+	5.48296i	−0.763191	+	0.646173i
$73$	−1.89574	+	3.28352i	−0.221880	+	0.384307i	−0.955379	−	0.295383i	$-0.904553\pi$
$73$	−1.89574	+	3.28352i	−0.221880	+	0.384307i	0.733499	+	0.679691i	$0.237886\pi$
$74$	−2.46611	+	4.61697i	−0.286679	+	0.536711i
$75$	−0.345956	−	8.65283i	−0.0399475	−	0.999143i
$76$	−1.28002	+	0.0846376i	−0.146829	+	0.00970860i
$77$	−3.34682	+	5.81976i	−0.381406	+	0.663223i
$78$	2.91428	−	1.97913i	0.329977	−	0.224093i
$79$		−	14.5683i		−	1.63906i	−0.573037	−	0.819529i	$-0.694235\pi$
$79$		−	14.5683i		−	1.63906i	0.573037	−	0.819529i	$-0.305765\pi$
$80$	0.0679819	−	0.00902968i	0.00760061	−	0.00100955i
$81$	−3.20209	+	8.41110i	−0.355788	+	0.934567i
$82$	−5.06061	+	9.47429i	−0.558850	+	1.04626i
$83$	5.09864	+	2.94370i	0.559648	+	0.323113i	0.753004	−	0.658016i	$-0.228604\pi$
$83$	5.09864	+	2.94370i	0.559648	+	0.323113i	−0.193356	+	0.981129i	$0.561937\pi$
$84$	−3.70290	+	8.38382i	−0.404020	+	0.914750i
$85$	−0.00785091	+	0.00453272i	−0.000851551	+	0.000491643i
$86$	0.190737	+	5.77556i	0.0205677	+	0.622794i
$87$	−2.88146	+	1.82085i	−0.308924	+	0.195215i
$88$	−4.18549	−	5.83019i	−0.446174	−	0.621501i
$89$	10.6052	−	6.12293i	1.12415	−	0.649029i	0.181694	−	0.983355i	$-0.441842\pi$
$89$	10.6052	−	6.12293i	1.12415	−	0.649029i	0.942457	+	0.334326i	$0.108509\pi$
$90$	0.0584939	−	0.0432368i	0.00616580	−	0.00455756i
$91$	1.89690	−	3.29850i	0.198849	−	0.345776i
$92$	−4.59732	−	6.87180i	−0.479304	−	0.716435i
$93$	−4.87450	+	9.28044i	−0.505462	+	0.962337i
$94$	−6.46119	+	4.02041i	−0.666421	+	0.414673i
$95$	0.0109968			0.00112825
$96$	−6.52391	−	7.31017i	−0.665844	−	0.746091i
$97$	−4.21383	+	7.29856i	−0.427849	+	0.741057i	−0.996682	−	0.0813966i	$-0.974062\pi$
$97$	−4.21383	+	7.29856i	−0.427849	+	0.741057i	0.568832	+	0.822453i	$0.307395\pi$
$98$	0.360491	+	9.89293i	0.0364151	+	0.999337i
$99$	−6.87533	−	3.26772i	−0.690997	−	0.328418i
$100$	9.97762	−	0.659740i	0.997762	−	0.0659740i
$101$	−1.60451	−	2.77909i	−0.159655	−	0.276530i	0.775089	−	0.631851i	$-0.217705\pi$
$101$	−1.60451	−	2.77909i	−0.159655	−	0.276530i	−0.934744	+	0.355321i	$0.884371\pi$
$102$	1.16590	+	0.564093i	0.115441	+	0.0558535i
$103$	3.20707	+	1.85160i	0.316002	+	0.182444i	0.649609	−	0.760268i	$-0.274933\pi$
$103$	3.20707	+	1.85160i	0.316002	+	0.182444i	−0.333607	+	0.942712i	$0.608266\pi$
$104$	2.37223	+	3.30441i	0.232617	+	0.324024i
$105$	0.0364153	−	0.0696183i	0.00355377	−	0.00679405i
$106$	−0.455548	−	13.7941i	−0.0442468	−	1.33980i
$107$	−4.93746	+	2.85064i	−0.477322	+	0.275582i	−0.719300	−	0.694700i	$-0.755537\pi$
$107$	−4.93746	+	2.85064i	−0.477322	+	0.275582i	0.241978	+	0.970282i	$0.422204\pi$
$108$	−9.80537	−	3.44307i	−0.943522	−	0.331310i
$109$	−3.96253	−	2.28777i	−0.379541	−	0.219128i	0.298077	−	0.954542i	$-0.403655\pi$
$109$	−3.96253	−	2.28777i	−0.379541	−	0.219128i	−0.677619	+	0.735413i	$0.736988\pi$
$110$	0.0325039	+	0.0522370i	0.00309912	+	0.00498060i
$111$	−6.40558	+	0.256107i	−0.607991	+	0.0243086i
$112$	−9.78895	−	4.02199i	−0.924969	−	0.380042i
$113$	13.9241	−	8.03907i	1.30987	−	0.756252i	0.327794	−	0.944749i	$-0.393695\pi$
$113$	13.9241	−	8.03907i	1.30987	−	0.756252i	0.982074	+	0.188497i	$0.0603616\pi$
$114$	−0.882673	−	1.29974i	−0.0826699	−	0.121732i
$115$	0.0354374	+	0.0613795i	0.00330456	+	0.00572366i
$116$	−2.18853	−	3.27129i	−0.203200	−	0.303732i
$117$	3.89677	+	1.85206i	0.360257	+	0.171223i
$118$	9.35590	+	15.0359i	0.861280	+	1.38416i
$119$	1.39896	−	0.00238538i	0.128243	−	0.000218668i
$120$	0.0516690	+	0.0662188i	0.00471671	+	0.00604492i
$121$	−2.28066	+	3.95021i	−0.207333	+	0.359110i
$122$	3.59089	+	5.77091i	0.325104	+	0.522474i
$123$	−13.1446	+	0.525547i	−1.18521	+	0.0473869i
$124$	−10.8592	−	5.34738i	−0.975184	−	0.480209i
$125$	−0.171442			−0.0153343
$126$	−11.1513	+	1.28400i	−0.993436	+	0.114388i
$127$			21.9274i			1.94574i	0.231343	+	0.972872i	$0.425688\pi$
$127$			21.9274i			1.94574i	−0.231343	+	0.972872i	$0.574312\pi$
$128$	8.24186	−	7.75060i	0.728484	−	0.685062i
$129$	−5.98298	+	3.78076i	−0.526772	+	0.332877i
$130$	−0.0184224	−	0.0296066i	−0.00161575	−	0.00259667i
$131$	−15.3912	−	8.88609i	−1.34473	−	0.776382i	−0.357235	−	0.934015i	$-0.616280\pi$
$131$	−15.3912	−	8.88609i	−1.34473	−	0.776382i	−0.987498	+	0.157633i	$0.949614\pi$
$132$	3.56504	−	8.03459i	0.310297	−	0.699322i
$133$	−1.47110	−	0.845997i	−0.127560	−	0.0733572i
$134$	−8.22941	+	5.12067i	−0.710913	+	0.442358i
$135$	0.0819248	+	0.0349968i	0.00705096	+	0.00301204i
$136$	−0.616050	+	1.36278i	−0.0528259	+	0.116858i
$137$	−14.2431	+	8.22326i	−1.21687	+	0.702560i	−0.964247	−	0.265004i	$-0.914627\pi$
$137$	−14.2431	+	8.22326i	−1.21687	+	0.702560i	−0.252623	+	0.967565i	$0.581293\pi$
$138$	4.41015	−	9.11515i	0.375417	−	0.775933i
$139$	10.0025	+	17.3249i	0.848404	+	1.46948i	0.882632	+	0.470066i	$0.155770\pi$
$139$	10.0025	+	17.3249i	0.848404	+	1.46948i	−0.0342271	+	0.999414i	$0.510897\pi$
$140$	0.0814569	+	0.0399394i	0.00688437	+	0.00337549i
$141$	−8.25125	−	4.33392i	−0.694880	−	0.364982i
$142$	12.0418	−	7.49288i	1.01052	−	0.628788i
$143$	−1.82464	+	3.16038i	−0.152584	+	0.264284i
$144$	3.67928	−	11.4220i	0.306607	−	0.951836i
$145$	0.0168698	+	0.0292194i	0.00140096	+	0.00242654i
$146$	−0.176982	−	5.35905i	−0.0146472	−	0.443518i
$147$	−10.2273	+	6.51173i	−0.843532	+	0.537078i
$148$	−0.488398	−	7.38631i	−0.0401460	−	0.607151i
$149$	−4.55544	+	7.89026i	−0.373196	+	0.646395i	−0.990055	−	0.140679i	$-0.955072\pi$
$149$	−4.55544	+	7.89026i	−0.373196	+	0.646395i	0.616859	+	0.787074i	$0.288405\pi$
$150$	6.88034	+	10.1313i	0.561777	+	0.827218i
$151$	−5.60417	+	3.23557i	−0.456061	+	0.263307i	−0.710386	−	0.703812i	$-0.751480\pi$
$151$	−5.60417	+	3.23557i	−0.456061	+	0.263307i	0.254326	+	0.967119i	$0.418146\pi$
$152$	1.47373	−	1.05799i	0.119536	−	0.0858145i
$153$	0.126642	+	1.58122i	0.0102384	+	0.127834i
$154$	−0.329557	−	9.48857i	−0.0265565	−	0.764611i
$155$	0.0898617	+	0.0518817i	0.00721787	+	0.00416724i
$156$	−2.02058	+	4.55381i	−0.161776	+	0.364597i
$157$		−	19.1068i		−	1.52489i	−0.647053	−	0.762445i	$-0.723999\pi$
$157$		−	19.1068i		−	1.52489i	0.647053	−	0.762445i	$-0.276001\pi$
$158$	10.8846	+	17.4927i	0.865935	+	1.39164i
$159$	14.2895	−	9.02978i	1.13323	−	0.716108i
$160$	−0.0748820	+	0.0616347i	−0.00591994	+	0.00487265i
$161$	−0.0186492	−	10.9373i	−0.00146977	−	0.861979i
$162$	−2.43946	−	12.4920i	−0.191662	−	0.981461i
$163$	7.64050	+	13.2337i	0.598451	+	1.03655i	0.993050	+	0.117693i	$0.0375500\pi$
$163$	7.64050	+	13.2337i	0.598451	+	1.03655i	−0.394599	+	0.918853i	$0.629117\pi$
$164$	−1.00222	−	15.1572i	−0.0782603	−	1.18357i
$165$	−0.0350385	+	0.0667091i	−0.00272775	+	0.00519330i
$166$	−8.32150	+	0.274817i	−0.645874	+	0.0213299i
$167$	−4.51966	−	7.82827i	−0.349741	−	0.605770i	0.636462	−	0.771308i	$-0.280397\pi$
$167$	−4.51966	−	7.82827i	−0.349741	−	0.605770i	−0.986203	+	0.165538i	$0.947064\pi$
$168$	−1.81773	−	12.8334i	−0.140241	−	0.990117i
$169$	−5.46584	+	9.46711i	−0.420449	+	0.728239i
$170$	0.00604028	−	0.0113084i	0.000463268	−	0.000867314i
$171$	0.826001	−	1.73792i	0.0631659	−	0.132902i
$172$	−4.54421	−	6.79242i	−0.346493	−	0.517917i
$173$	19.2246			1.46162			0.730811	−	0.682579i	$-0.239142\pi$
$173$	19.2246			1.46162			0.730811	+	0.682579i	$0.239142\pi$
$174$	2.09943	−	4.33923i	0.159158	−	0.328956i
$175$	11.4670	+	6.59445i	0.866826	+	0.498493i
$176$	9.38168	+	3.87336i	0.707171	+	0.291966i
$177$	−10.0855	+	19.2015i	−0.758071	+	1.44327i
$178$	−8.15937	+	15.2757i	−0.611571	+	1.14496i
$179$	2.90444	+	1.67688i	0.217088	+	0.125336i	0.604601	−	0.796528i	$-0.293332\pi$
$179$	2.90444	+	1.67688i	0.217088	+	0.125336i	−0.387513	+	0.921864i	$0.626666\pi$
$180$	−0.0379316	+	0.0956196i	−0.00282725	+	0.00712707i
$181$		−	0.795481i		−	0.0591276i	−0.999563	−	0.0295638i	$-0.990588\pi$
$181$		−	0.795481i		−	0.0591276i	0.999563	−	0.0295638i	$-0.00941182\pi$
$182$	0.186785	+	5.37789i	0.0138454	+	0.398636i
$183$	−3.87091	+	7.36973i	−0.286146	+	0.544786i
$184$	10.6544	+	4.81636i	0.785454	+	0.355067i
$185$			0.0634565i			0.00466541i
$186$	−1.08086	−	14.7853i	−0.0792523	−	1.08411i
$187$	−1.34170			−0.0981152
$188$	4.75436	−	9.65491i	0.346748	−	0.704157i
$189$	−8.26715	−	10.9843i	−0.601347	−	0.798988i
$190$	−0.0132043	+	0.00821621i	−0.000957938	+	0.000596067i
$191$	−5.70760			−0.412987			−0.206494	−	0.978448i	$-0.566205\pi$
$191$	−5.70760			−0.412987			−0.206494	+	0.978448i	$0.566205\pi$
$192$	13.2953	+	3.90329i	0.959504	+	0.281695i
$193$	5.83814			0.420238			0.210119	−	0.977676i	$-0.432615\pi$
$193$	5.83814			0.420238			0.210119	+	0.977676i	$0.432615\pi$
$194$	−0.393393	−	11.9120i	−0.0282440	−	0.855232i
$195$	0.0198590	−	0.0378091i	0.00142213	−	0.00270756i
$196$	−7.82432	−	11.6095i	−0.558880	−	0.829248i
$197$	14.0411			1.00039			0.500195	−	0.865913i	$-0.333262\pi$
$197$	14.0411			1.00039			0.500195	+	0.865913i	$0.333262\pi$
$198$	10.6969	−	1.21321i	0.760198	−	0.0862191i
$199$	−7.89407	−	4.55764i	−0.559596	−	0.323083i	0.193388	−	0.981122i	$-0.438053\pi$
$199$	−7.89407	−	4.55764i	−0.559596	−	0.323083i	−0.752983	+	0.658040i	$0.771386\pi$
$200$	−11.4876	+	8.24692i	−0.812295	+	0.583146i
$201$	−10.5094	−	5.51998i	−0.741273	−	0.389349i
$202$	4.00299	+	2.13816i	0.281649	+	0.150440i
$203$	−0.00887789	−	5.20665i	−0.000623106	−	0.365435i
$204$	−1.82140	+	0.193770i	−0.127523	+	0.0135666i
$205$			0.130216i			0.00909471i
$206$	−5.23427	+	0.172861i	−0.364689	+	0.0120438i
$207$	12.3622	−	0.990106i	0.859229	−	0.0688171i
$208$	−5.31731	−	2.19533i	−0.368689	−	0.152219i
$209$	1.40950	+	0.813773i	0.0974969	+	0.0562899i
$210$	0.00828987	+	0.110801i	0.000572056	+	0.00764599i
$211$	8.06205	+	13.9639i	0.555015	+	0.961314i	0.997902	+	0.0647365i	$0.0206207\pi$
$211$	8.06205	+	13.9639i	0.555015	+	0.961314i	−0.442888	+	0.896577i	$0.646046\pi$
$212$	10.8532	+	16.2227i	0.745400	+	1.11418i
$213$	15.3779	+	8.07717i	1.05368	+	0.553439i
$214$	3.79875	−	7.11189i	0.259677	−	0.486158i
$215$	0.0350281	+	0.0606704i	0.00238890	+	0.00413769i
$216$	14.3462	−	3.19182i	0.976132	−	0.217176i
$217$	−8.02994	−	13.8537i	−0.545108	−	0.940448i
$218$	6.46725	−	0.213581i	0.438018	−	0.0144655i
$219$	5.55151	−	3.50811i	0.375137	−	0.237056i
$220$	−0.0780573	−	0.0384377i	−0.00526262	−	0.00259147i
$221$	0.760446			0.0511531
$222$	7.50008	−	5.09343i	0.503372	−	0.341848i
$223$	20.2487	+	11.6906i	1.35595	+	0.782859i	0.989075	−	0.147411i	$-0.0470939\pi$
$223$	20.2487	+	11.6906i	1.35595	+	0.782859i	0.366876	+	0.930270i	$0.380427\pi$
$224$	14.7590	−	2.48443i	0.986126	−	0.165998i
$225$	−6.43858	+	13.5469i	−0.429239	+	0.903126i
$226$	−10.7128	+	20.0562i	−0.712606	+	1.33412i
$227$	−5.60602	+	3.23664i	−0.372084	+	0.214823i	−0.674369	−	0.738395i	$-0.735584\pi$
$227$	−5.60602	+	3.23664i	−0.372084	+	0.214823i	0.302284	+	0.953218i	$0.402251\pi$
$228$	2.03095	+	0.901158i	0.134503	+	0.0596807i
$229$	18.2038	+	10.5100i	1.20294	+	0.694520i	0.961209	−	0.275823i	$-0.0889502\pi$
$229$	18.2038	+	10.5100i	1.20294	+	0.694520i	0.241735	+	0.970342i	$0.422284\pi$
$230$	−0.0884105	−	0.0472237i	−0.00582962	−	0.00311384i
$231$	9.81930	−	6.22846i	0.646063	−	0.409802i
$232$	5.07199	+	2.29281i	0.332992	+	0.150530i
$233$	10.5002	−	6.06227i	0.687888	−	0.397152i	−0.114932	−	0.993373i	$-0.536665\pi$
$233$	10.5002	−	6.06227i	0.687888	−	0.397152i	0.802820	+	0.596221i	$0.203332\pi$
$234$	−6.06276	+	0.687618i	−0.396335	+	0.0449510i
$235$	−0.0461280	+	0.0798961i	−0.00300906	+	0.00521185i
$236$	−22.4680	−	11.0639i	−1.46254	−	0.720198i
$237$	−11.7334	+	22.3390i	−0.762168	+	1.45107i
$238$	−1.67801	+	1.04810i	−0.108769	+	0.0679380i
$239$	2.69354	+	4.66534i	0.174230	+	0.301776i	0.939895	−	0.341465i	$-0.110923\pi$
$239$	2.69354	+	4.66534i	0.174230	+	0.301776i	−0.765664	+	0.643240i	$0.777590\pi$
$240$	−0.111516	−	0.0409071i	−0.00719833	−	0.00264054i
$241$	8.74178	+	15.1412i	0.563108	+	0.975331i	0.997223	+	0.0744739i	$0.0237277\pi$
$241$	8.74178	+	15.1412i	0.563108	+	0.975331i	−0.434115	+	0.900857i	$0.642939\pi$
$242$	−0.212917	−	6.44716i	−0.0136868	−	0.414439i
$243$	11.6845	−	10.3186i	0.749559	−	0.661938i
$244$	−8.62343	−	4.24643i	−0.552059	−	0.271850i
$245$	0.0603607	+	0.103729i	0.00385630	+	0.00662702i
$246$	15.3906	−	10.4520i	0.981270	−	0.666396i
$247$	−0.798868	−	0.461227i	−0.0508308	−	0.0293472i
$248$	17.0343	−	1.69260i	1.08168	−	0.107480i
$249$	−5.44737	−	8.62036i	−0.345213	−	0.546293i
$250$	0.205857	−	0.128093i	0.0130196	−	0.00810129i
$251$			18.7279i			1.18209i	0.806637	+	0.591047i	$0.201285\pi$
$251$			18.7279i			1.18209i	−0.806637	+	0.591047i	$0.798715\pi$
$252$	12.4304	−	9.87340i	0.783044	−	0.621966i
$253$			10.4896i			0.659477i
$254$	−16.3830	−	26.3291i	−1.02796	−	1.65203i
$255$	0.0156893		0.000627286i	0.000982501		3.92822e-5i
$256$	−4.10548	+	15.4643i	−0.256593	+	0.966520i
$257$	−14.7484	−	8.51501i	−0.919981	−	0.531152i	−0.0363523	−	0.999339i	$-0.511574\pi$
$257$	−14.7484	−	8.51501i	−0.919981	−	0.531152i	−0.883629	+	0.468187i	$0.844907\pi$
$258$	4.35921	−	9.00986i	0.271393	−	0.560929i
$259$	4.88179	−	8.48890i	0.303340	−	0.527474i
$260$	0.0442410	+	0.0217856i	0.00274371	+	0.00135108i
$261$	5.88495	−	0.471336i	0.364269	−	0.0291749i
$262$	25.1200	−	0.829586i	1.55192	−	0.0512520i
$263$	−3.53664	−	6.12564i	−0.218079	−	0.377723i	0.736142	−	0.676827i	$-0.236646\pi$
$263$	−3.53664	−	6.12564i	−0.218079	−	0.377723i	−0.954221	+	0.299104i	$0.903312\pi$
$264$	1.72233	+	12.3111i	0.106002	+	0.757693i
$265$	−0.0836594	−	0.144902i	−0.00513916	−	0.00890128i
$266$	2.39849	−	0.0833042i	0.147061	−	0.00510771i
$267$	−21.1935	+	0.847355i	−1.29702	+	0.0518573i
$268$	6.05548	−	12.2972i	0.369898	−	0.751168i
$269$	10.1640	−	17.6046i	0.619713	−	1.07337i	−0.369825	−	0.929101i	$-0.620582\pi$
$269$	10.1640	−	17.6046i	0.619713	−	1.07337i	0.989538	−	0.144273i	$-0.0460843\pi$
$270$	−0.124518	+	0.0191879i	−0.00757792	+	0.00116774i
$271$	−20.4696	+	11.8182i	−1.24344	+	0.717902i	−0.969793	−	0.243928i	$-0.921564\pi$
$271$	−20.4696	+	11.8182i	−1.24344	+	0.717902i	−0.273649	+	0.961830i	$0.588231\pi$
$272$	−0.278484	−	2.09663i	−0.0168855	−	0.127127i
$273$	−5.56534	+	3.53014i	−0.336830	+	0.213654i
$274$	10.9583	−	20.5157i	0.662012	−	1.23940i
$275$	−10.9869	−	6.34327i	−0.662533	−	0.382513i
$276$	1.51492	+	14.2399i	0.0911873	+	0.857144i
$277$	−5.12948	+	2.96151i	−0.308201	+	0.177940i	−0.646121	−	0.763235i	$-0.723610\pi$
$277$	−5.12948	+	2.96151i	−0.308201	+	0.177940i	0.337920	+	0.941175i	$0.390277\pi$
$278$	−24.9547	−	13.3293i	−1.49668	−	0.799439i
$279$	14.9491	−	10.3047i	0.894980	−	0.616924i
$280$	−0.127649	+	0.0129035i	−0.00762849	+	0.000771134i
$281$	10.3777	+	5.99155i	0.619080	+	0.357426i	0.776511	−	0.630104i	$-0.216988\pi$
$281$	10.3777	+	5.99155i	0.619080	+	0.357426i	−0.157431	+	0.987530i	$0.550321\pi$
$282$	13.1457	−	0.960991i	0.782813	−	0.0572262i
$283$	−12.5142			−0.743890			−0.371945	−	0.928255i	$-0.621309\pi$
$283$	−12.5142			−0.743890			−0.371945	+	0.928255i	$0.621309\pi$
$284$	−8.86076	+	17.9940i	−0.525789	+	1.06775i
$285$	−0.0168625	−	0.00885691i	−0.000998847	−	0.000524638i
$286$	−0.170345	−	5.15806i	−0.0100727	−	0.305003i
$287$	10.0177	−	17.4197i	0.591327	−	1.02825i
$288$	4.11608	+	16.4638i	0.242543	+	0.970141i
$289$	−8.36021	−	14.4803i	−0.491777	−	0.851783i
$290$	−0.0420875	−	0.0224806i	−0.00247146	−	0.00132011i
$291$	12.3398	−	7.79776i	0.723373	−	0.457113i
$292$	4.21651	+	6.30258i	0.246752	+	0.368831i
$293$	−2.83457	−	4.90961i	−0.165597	−	0.286823i	0.771270	−	0.636508i	$-0.219622\pi$
$293$	−2.83457	−	4.90961i	−0.165597	−	0.286823i	−0.936867	+	0.349685i	$0.886288\pi$
$294$	7.41508	−	15.4602i	0.432456	−	0.901655i
$295$	0.185927	+	0.107345i	0.0108251	+	0.00624985i
$296$	6.10510	+	8.50412i	0.354851	+	0.494292i
$297$	7.91079	+	10.5482i	0.459030	+	0.612067i
$298$	−0.425286	−	12.8777i	−0.0246361	−	0.745986i
$299$		−	5.94526i		−	0.343824i
$300$	−15.8311	−	7.02442i	−0.914006	−	0.405555i
$301$	−0.0184338	−	10.8110i	−0.00106251	−	0.623133i
$302$	4.31170	−	8.07221i	0.248110	−	0.464503i
$303$	0.222049	+	5.55375i	0.0127564	+	0.319054i
$304$	−0.979095	+	2.37147i	−0.0561549	+	0.136013i
$305$	0.0713605	+	0.0412000i	0.00408609	+	0.00235910i
$306$	−1.33346	−	1.80401i	−0.0762291	−	0.103128i
$307$	3.26752			0.186487			0.0932437	−	0.995643i	$-0.470276\pi$
$307$	3.26752			0.186487			0.0932437	+	0.995643i	$0.470276\pi$
$308$	7.48507	+	11.1471i	0.426501	+	0.635163i
$309$	−3.42642	−	5.42225i	−0.194922	−	0.308461i
$310$	−0.146664	+	0.00484356i	−0.00832994	+	0.000275096i
$311$	−28.9403			−1.64105			−0.820527	−	0.571608i	$-0.806320\pi$
$311$	−28.9403			−1.64105			−0.820527	+	0.571608i	$0.806320\pi$
$312$	−0.976177	−	6.97760i	−0.0552652	−	0.395029i
$313$	−17.8831			−1.01081			−0.505406	−	0.862882i	$-0.668657\pi$
$313$	−17.8831			−1.01081			−0.505406	+	0.862882i	$0.668657\pi$
$314$	14.2756	+	22.9423i	0.805618	+	1.29471i
$315$	−0.111910	+	0.0774236i	−0.00630544	+	0.00436232i
$316$	−26.1392	−	12.8717i	−1.47044	−	0.724090i
$317$	−34.5464			−1.94032			−0.970160	−	0.242466i	$-0.922044\pi$
$317$	−34.5464			−1.94032			−0.970160	+	0.242466i	$0.922044\pi$
$318$	−10.4113	+	21.5187i	−0.583838	+	1.20671i
$319$			4.99354i			0.279585i
$320$	0.0438635	−	0.129955i	0.00245204	−	0.00726470i
$321$	9.86704	−	0.394502i	0.550724	−	0.0220190i
$322$	8.19415	+	13.1189i	0.456642	+	0.731087i
$323$		−	0.339151i		−	0.0188709i
$324$	12.2625	+	13.1769i	0.681249	+	0.732052i
$325$	6.22709	+	3.59521i	0.345417	+	0.199426i
$326$	−19.0618	−	10.1817i	−1.05573	−	0.563911i
$327$	4.23355	+	6.69952i	0.234116	+	0.370484i
$328$	12.5280	+	17.4510i	0.691744	+	0.963568i
$329$	12.3173	−	7.13942i	0.679074	−	0.393609i
$330$	−0.00776935	−	0.106279i	−0.000427689	−	0.00585047i
$331$	21.6001			1.18725			0.593624	−	0.804743i	$-0.297697\pi$
$331$	21.6001			1.18725			0.593624	+	0.804743i	$0.297697\pi$
$332$	9.78662	−	6.54737i	0.537110	−	0.359333i
$333$	10.0286	+	4.76640i	0.549564	+	0.261197i
$334$	11.2758	+	6.02286i	0.616984	+	0.329556i
$335$	−0.0587519	+	0.101761i	−0.00320996	+	0.00555981i
$336$	11.7710	+	14.0514i	0.642163	+	0.766568i
$337$	−6.90317	−	11.9566i	−0.376039	−	0.651319i	0.614443	−	0.788962i	$-0.289381\pi$
$337$	−6.90317	−	11.9566i	−0.376039	−	0.651319i	−0.990482	+	0.137642i	$0.956048\pi$
$338$	−0.510278	−	15.4513i	−0.0277555	−	0.840440i
$339$	−27.8259	+	1.11253i	−1.51130	+	0.0604244i
$340$	0.00119624	+	0.0180914i	6.48752e−5	+	0.000981144i
$341$	7.67860	+	13.2997i	0.415819	+	0.720220i
$342$	0.306671	+	2.70393i	0.0165829	+	0.146212i
$343$	−0.0947365	−	18.5200i	−0.00511529	−	0.999987i
$344$	10.5313	+	4.76073i	0.567812	+	0.256681i
$345$	−0.00490421	−	0.122661i	−0.000264034	−	0.00660384i
$346$	−23.0838	+	14.3636i	−1.24099	+	0.772194i
$347$			22.6796i			1.21751i	0.793359	+	0.608754i	$0.208330\pi$
$347$			22.6796i			1.21751i	−0.793359	+	0.608754i	$0.791670\pi$
$348$	0.721170	+	6.77886i	0.0386588	+	0.363385i
$349$	−21.5595	−	12.4474i	−1.15405	−	0.666293i	−0.204182	−	0.978933i	$-0.565453\pi$
$349$	−21.5595	−	12.4474i	−1.15405	−	0.666293i	−0.949872	+	0.312640i	$0.898787\pi$
$350$	−18.6959	+	0.649346i	−0.999339	+	0.0347090i
$351$	−4.48364	−	5.97845i	−0.239319	−	0.319106i
$352$	−14.1589	+	2.35860i	−0.754673	+	0.125714i
$353$	16.0827	−	9.28535i	0.855995	−	0.494209i	−0.00667377	−	0.999978i	$-0.502124\pi$
$353$	16.0827	−	9.28535i	0.855995	−	0.494209i	0.862669	+	0.505769i	$0.168791\pi$
$354$	−2.23632	−	30.5913i	−0.118859	−	1.62591i
$355$	0.0859694	−	0.148903i	0.00456278	−	0.00790297i
$356$	−1.61591	−	24.4383i	−0.0856432	−	1.29523i
$357$	−2.14709	−	1.12308i	−0.113636	−	0.0594398i
$358$	−4.74035	+	0.156550i	−0.250535	+	0.00827391i
$359$	−15.6497	−	27.1060i	−0.825958	−	1.43060i	−0.901185	−	0.433435i	$-0.857301\pi$
$359$	−15.6497	−	27.1060i	−0.825958	−	1.43060i	0.0752262	−	0.997166i	$-0.476032\pi$
$360$	−0.0258960	−	0.143155i	−0.00136484	−	0.00754491i
$361$	9.29430	−	16.0982i	0.489174	−	0.847273i
$362$	0.594341	+	0.955164i	0.0312379	+	0.0502023i
$363$	6.67870	−	4.22040i	0.350541	−	0.221513i
$364$	−4.24235	−	6.31788i	−0.222360	−	0.331147i
$365$	−0.0325020	−	0.0562952i	−0.00170123	−	0.00294662i
$366$	−0.858324	−	11.7413i	−0.0448653	−	0.613725i
$367$	−7.84210	+	4.52764i	−0.409354	+	0.236341i	−0.690512	−	0.723321i	$-0.742615\pi$
$367$	−7.84210	+	4.52764i	−0.409354	+	0.236341i	0.281158	+	0.959662i	$0.409282\pi$
$368$	−16.3917	+	2.17722i	−0.854476	+	0.113496i
$369$	20.5793	+	9.78094i	1.07131	+	0.509176i
$370$	−0.0474113	−	0.0761946i	−0.00246480	−	0.00396117i
$371$	0.0440264	+	25.8204i	0.00228574	+	1.34053i
$372$	12.3446	+	16.9458i	0.640040	+	0.878597i
$373$	27.6192	+	15.9460i	1.43007	+	0.825651i	0.997125	−	0.0757704i	$-0.0241416\pi$
$373$	27.6192	+	15.9460i	1.43007	+	0.825651i	0.432944	+	0.901421i	$0.357475\pi$
$374$	1.61104	−	1.00245i	0.0833047	−	0.0518355i
$375$	0.262890	+	0.138081i	0.0135756	+	0.00713049i
$376$	1.50489	+	15.1452i	0.0776087	+	0.781055i
$377$		−	2.83022i		−	0.145764i
$378$	18.1335	+	7.01246i	0.932689	+	0.360682i
$379$	−9.68485			−0.497477			−0.248739	−	0.968571i	$-0.580016\pi$
$379$	−9.68485			−0.497477			−0.248739	+	0.968571i	$0.580016\pi$
$380$	0.00971615	−	0.0197310i	0.000498428	−	0.00101218i
$381$	17.6605	−	33.6235i	0.904777	−	1.72258i
$382$	6.85333	−	4.26441i	0.350647	−	0.218186i
$383$	0.932138	−	1.61451i	0.0476300	−	0.0824977i	−0.841227	−	0.540681i	$-0.818166\pi$
$383$	0.932138	−	1.61451i	0.0476300	−	0.0824977i	0.888858	+	0.458184i	$0.151500\pi$
$384$	−18.8805	+	5.24670i	−0.963490	+	0.267744i
$385$	−0.0577203	−	0.0995820i	−0.00294170	−	0.00507517i
$386$	−7.01008	+	4.36195i	−0.356803	+	0.222017i
$387$	12.2194	−	0.978668i	0.621145	−	0.0497485i
$388$	9.37238	+	14.0093i	0.475810	+	0.711213i
$389$	12.5300	+	21.7025i	0.635295	+	1.10036i	0.986453	+	0.164047i	$0.0524547\pi$
$389$	12.5300	+	21.7025i	0.635295	+	1.10036i	−0.351158	+	0.936316i	$0.614212\pi$
$390$	0.00440348	+	0.0602364i	0.000222979	+	0.00305019i
$391$	1.89300	−	1.09292i	0.0957331	−	0.0552715i
$392$	18.0689	+	8.09403i	0.912620	+	0.408810i
$393$	16.4439	+	26.0221i	0.829484	+	1.31264i
$394$	−16.8597	+	10.4908i	−0.849382	+	0.528519i
$395$	0.216307	+	0.124885i	0.0108836	+	0.00628363i
$396$	−11.9378	+	9.44893i	−0.599896	+	0.474826i
$397$	1.17572	−	0.678804i	0.0590078	−	0.0340682i	−0.470206	−	0.882557i	$-0.655820\pi$
$397$	1.17572	−	0.678804i	0.0590078	−	0.0340682i	0.529214	+	0.848489i	$0.322487\pi$
$398$	12.8839	−	0.425491i	0.645813	−	0.0213279i
$399$	1.57441	+	2.48209i	0.0788189	+	0.124260i
$400$	7.63193	−	18.4853i	0.381596	−	0.924265i
$401$	−17.0642	−	9.85203i	−0.852146	−	0.491987i	0.00922813	−	0.999957i	$-0.497063\pi$
$401$	−17.0642	−	9.85203i	−0.852146	−	0.491987i	−0.861374	+	0.507971i	$0.830396\pi$
$402$	16.7432	−	1.22398i	0.835076	−	0.0610468i
$403$	−4.35204	−	7.53796i	−0.216791	−	0.375492i
$404$	−6.40405	+	0.423449i	−0.318614	+	0.0210674i
$405$	−0.0974367	−	0.119647i	−0.00484167	−	0.00594531i
$406$	3.90079	+	6.24519i	0.193593	+	0.309944i
$407$	−4.69584	+	8.13344i	−0.232764	+	0.403160i
$408$	2.04225	−	1.59352i	0.101106	−	0.0788909i
$409$	−31.2544			−1.54543			−0.772714	−	0.634754i	$-0.781101\pi$
$409$	−31.2544			−1.54543			−0.772714	+	0.634754i	$0.781101\pi$
$410$	−0.0972908	−	0.156356i	−0.00480485	−	0.00772187i
$411$	28.4635	−	1.13802i	1.40400	−	0.0561344i
$412$	6.15583	−	4.11832i	0.303276	−	0.202895i
$413$	−16.6142	−	28.6636i	−0.817530	−	1.41044i
$414$	−14.1040	+	10.4252i	−0.693172	+	0.512371i
$415$	−0.0874148	+	0.0504690i	−0.00429102	+	0.00247742i
$416$	8.02493	−	1.33680i	0.393454	−	0.0655418i
$417$	−1.38426	−	34.6222i	−0.0677873	−	1.69545i
$418$	−2.30044	+	0.0759720i	−0.112518	+	0.00371591i
$419$	−8.61713	+	4.97510i	−0.420974	+	0.243050i	−0.695494	−	0.718532i	$-0.744814\pi$
$419$	−8.61713	+	4.97510i	−0.420974	+	0.243050i	0.274520	+	0.961581i	$0.411481\pi$
$420$	−0.0927385	−	0.126849i	−0.00452518	−	0.00618961i
$421$	−16.6820	−	9.63134i	−0.813030	−	0.469403i	0.0349771	−	0.999388i	$-0.488864\pi$
$421$	−16.6820	−	9.63134i	−0.813030	−	0.469403i	−0.848007	+	0.529985i	$0.822198\pi$
$422$	−20.1135	−	10.7434i	−0.979109	−	0.522982i
$423$	9.16189	+	13.2913i	0.445466	+	0.646243i
$424$	−25.1526	−	11.3703i	−1.22152	−	0.552190i
$425$			2.64364i			0.128236i
$426$	−24.4997	+	1.79101i	−1.18701	+	0.0867747i
$427$	−6.37669	−	11.0014i	−0.308590	−	0.532394i
$428$	0.752318	+	11.3777i	0.0363647	+	0.549964i
$429$	5.34331	−	3.37654i	0.257977	−	0.163021i
$430$	−0.0873893	−	0.0466782i	−0.00421428	−	0.00225102i
$431$	−1.13158	+	1.95996i	−0.0545064	+	0.0944078i	−0.891991	−	0.452053i	$-0.850692\pi$
$431$	−1.13158	+	1.95996i	−0.0545064	+	0.0944078i	0.837485	+	0.546461i	$0.184025\pi$
$432$	−14.8412	+	14.5512i	−0.714049	+	0.700096i
$433$	−8.67433			−0.416862			−0.208431	−	0.978037i	$-0.566836\pi$
$433$	−8.67433			−0.416862			−0.208431	+	0.978037i	$0.566836\pi$
$434$	19.9926	+	10.6351i	0.959674	+	0.510500i
$435$	−0.00233463	−	0.0583922i	−0.000111937	−	0.00279969i
$436$	−7.60590	+	5.08844i	−0.364257	+	0.243692i
$437$	−2.65153			−0.126840
$438$	−4.04484	+	8.36011i	−0.193270	+	0.399462i
$439$			16.8536i			0.804380i	0.915556	+	0.402190i	$0.131751\pi$
$439$			16.8536i			0.804380i	−0.915556	+	0.402190i	$0.868249\pi$
$440$	0.122445	−	0.0121666i	0.00583734	−	0.000580021i
$441$	20.9271	−	1.74793i	0.996530	−	0.0832349i
$442$	−0.913096	+	0.568164i	−0.0434315	+	0.0270248i
$443$			15.7109i			0.746445i	0.927742	+	0.373223i	$0.121747\pi$
$443$			15.7109i			0.746445i	−0.927742	+	0.373223i	$0.878253\pi$
$444$	−5.20009	+	11.7195i	−0.246786	+	0.556184i
$445$			0.209952i			0.00995268i
$446$	−33.0479	+	1.09141i	−1.56487	+	0.0516796i
$447$	13.3402	−	8.42993i	0.630970	−	0.398722i
$448$	−15.8654	+	14.0103i	−0.749572	+	0.661923i
$449$		−	17.3778i		−	0.820110i	−0.912061	−	0.410055i	$-0.865510\pi$
$449$		−	17.3778i		−	0.820110i	0.912061	−	0.410055i	$-0.134490\pi$
$450$	−2.39046	−	21.0768i	−0.112687	−	0.993571i
$451$	−9.63615	+	16.6903i	−0.453749	+	0.785916i
$452$	−2.12160	−	32.0862i	−0.0997919	−	1.50921i
$453$	11.1994	−	0.447772i	0.526193	−	0.0210382i
$454$	4.31312	−	8.07487i	0.202425	−	0.378972i
$455$	0.0327145	+	0.0564406i	0.00153368	+	0.00264598i
$456$	−3.11194	+	0.435365i	−0.145730	+	0.0203879i
$457$	−19.6552			−0.919431			−0.459716	−	0.888066i	$-0.652049\pi$
$457$	−19.6552			−0.919431			−0.459716	+	0.888066i	$0.652049\pi$
$458$	−29.7105	+	0.981189i	−1.38828	+	0.0458479i
$459$	1.07933	−	2.52664i	0.0503789	−	0.117933i
$460$	0.141441	−	0.00935235i	0.00659472	−	0.000436056i
$461$	1.16126	−	2.01136i	0.0540853	−	0.0936784i	−0.837715	−	0.546107i	$-0.816109\pi$
$461$	1.16126	−	2.01136i	0.0540853	−	0.0936784i	0.891800	+	0.452429i	$0.149442\pi$
$462$	−7.13684	+	14.8152i	−0.332036	+	0.689266i
$463$	−35.7884	+	20.6624i	−1.66323	+	0.960265i	−0.692069	+	0.721831i	$0.743301\pi$
$463$	−35.7884	+	20.6624i	−1.66323	+	0.960265i	−0.971159	+	0.238434i	$0.923366\pi$
$464$	−7.80320	+	1.03646i	−0.362254	+	0.0481163i
$465$	−0.0960080	−	0.151931i	−0.00445226	−	0.00704563i
$466$	−8.07853	+	15.1243i	−0.374231	+	0.700622i
$467$	19.9673	−	11.5281i	0.923978	−	0.533459i	0.0390760	−	0.999236i	$-0.487559\pi$
$467$	19.9673	−	11.5281i	0.923978	−	0.533459i	0.884902	+	0.465777i	$0.154225\pi$
$468$	6.76604	−	5.35542i	0.312760	−	0.247554i
$469$	15.6882	−	9.09326i	0.724412	−	0.419888i
$470$	−0.00430641	−	0.130399i	−0.000198640	−	0.00601484i
$471$	−15.3888	+	29.2984i	−0.709079	+	1.35000i
$472$	35.2445	−	3.50203i	1.62226	−	0.161194i
$473$			10.3685i			0.476742i
$474$	−2.60174	−	35.5899i	−0.119502	−	1.63470i
$475$	1.60343	−	2.77722i	0.0735703	−	0.127428i
$476$	1.23177	−	2.51221i	0.0564579	−	0.115147i
$477$	−29.1841	+	2.33741i	−1.33625	+	0.107022i
$478$	−6.71992	−	3.58939i	−0.307362	−	0.164175i
$479$	16.6315	+	28.8066i	0.759913	+	1.31621i	0.942894	+	0.333092i	$0.108092\pi$
$479$	16.6315	+	28.8066i	0.759913	+	1.31621i	−0.182981	+	0.983116i	$0.558575\pi$
$480$	0.164465	−	0.0342001i	0.00750678	−	0.00156101i
$481$	2.66149	−	4.60983i	0.121353	−	0.210190i
$482$	−21.8093	−	11.6492i	−0.993386	−	0.530608i
$483$	−8.78040	+	16.7863i	−0.399522	+	0.763802i
$484$	5.07263	+	7.58227i	0.230574	+	0.344649i
$485$	−0.0722450	−	0.125132i	−0.00328048	−	0.00568195i
$486$	−6.32048	+	21.1199i	−0.286703	+	0.958020i
$487$	−6.49631	−	3.75064i	−0.294376	−	0.169958i	0.345538	−	0.938405i	$-0.387697\pi$
$487$	−6.49631	−	3.75064i	−0.294376	−	0.169958i	−0.639914	+	0.768447i	$0.721030\pi$
$488$	13.5272	−	1.34411i	0.612347	−	0.0608452i
$489$	−1.05737	−	26.4464i	−0.0478161	−	1.19595i
$490$	−0.149978	−	0.0794534i	−0.00677533	−	0.00358934i
$491$	2.09949	−	1.21214i	0.0947485	−	0.0547031i	−0.451877	−	0.892080i	$-0.649245\pi$
$491$	2.09949	−	1.21214i	0.0947485	−	0.0547031i	0.546626	+	0.837377i	$0.315912\pi$
$492$	−10.6709	+	24.0492i	−0.481082	+	1.08422i
$493$	0.901154	−	0.520282i	0.0405859	−	0.0234323i
$494$	1.30384	−	0.0430591i	0.0586623	−	0.00193732i
$495$	0.107456	−	0.0740714i	0.00482980	−	0.00332926i
$496$	−19.1891	+	14.7595i	−0.861618	+	0.662721i
$497$	−22.9559	+	13.3058i	−1.02971	+	0.596848i
$498$	12.9815	+	6.28081i	0.581716	+	0.281450i
$499$	9.28917	−	16.0893i	0.415840	−	0.720257i	−0.579676	−	0.814847i	$-0.696821\pi$
$499$	9.28917	−	16.0893i	0.415840	−	0.720257i	0.995516	+	0.0945905i	$0.0301542\pi$
$500$	−0.151477	+	0.307611i	−0.00677425	+	0.0137568i
$501$	0.625477	+	15.6440i	0.0279443	+	0.698925i
$502$	−13.9925	−	22.4873i	−0.624515	−	1.00366i
$503$	−15.1295			−0.674592			−0.337296	−	0.941399i	$-0.609512\pi$
$503$	−15.1295			−0.674592			−0.337296	+	0.941399i	$0.609512\pi$
$504$	−7.54883	+	21.1427i	−0.336252	+	0.941772i
$505$	0.0550178			0.00244826
$506$	−7.83729	−	12.5953i	−0.348410	−	0.559929i
$507$	16.0062	−	10.1146i	0.710861	−	0.449206i
$508$	39.3434	+	19.3738i	1.74558	+	0.859575i
$509$	−14.0099	+	24.2658i	−0.620976	+	1.07556i	0.368328	+	0.929696i	$0.379930\pi$
$509$	−14.0099	+	24.2658i	−0.620976	+	1.07556i	−0.989304	+	0.145867i	$0.953403\pi$
$510$	−0.0183700	+	0.0124754i	−0.000813439	+	0.000552420i
$511$	0.0171045	+	10.0313i	0.000756656	+	0.443759i
$512$	−6.62450	−	21.6360i	−0.292764	−	0.956185i
$513$	−2.66633	+	1.99966i	−0.117721	+	0.0882871i
$514$	24.0710	−	0.794942i	1.06172	−	0.0350634i
$515$	−0.0549843	+	0.0317452i	−0.00242290	+	0.00139886i
$516$	1.49742	+	14.0755i	0.0659201	+	0.619637i
$517$	−11.8248	+	6.82704i	−0.520054	+	0.300253i
$518$	0.480703	+	13.8404i	0.0211209	+	0.608110i
$519$	−29.4791	−	15.4837i	−1.29399	−	0.679659i
$520$	−0.0693988	+	0.00689574i	−0.00304334	+	0.000302398i
$521$	15.6510	+	9.03613i	0.685684	+	0.395880i	0.801993	−	0.597333i	$-0.203773\pi$
$521$	15.6510	+	9.03613i	0.685684	+	0.395880i	−0.116309	+	0.993213i	$0.537106\pi$
$522$	−6.71413	+	4.96287i	−0.293869	+	0.217219i
$523$	22.7340	+	39.3764i	0.994087	+	1.72181i	0.591085	+	0.806609i	$0.298700\pi$
$523$	22.7340	+	39.3764i	0.994087	+	1.72181i	0.403002	+	0.915199i	$0.367967\pi$
$524$	−29.5427	+	19.7644i	−1.29058	+	0.863413i
$525$	−12.2723	−	19.3476i	−0.535608	−	0.844397i
$526$	8.82333	+	4.71290i	0.384715	+	0.205492i
$527$	1.60008	−	2.77142i	0.0697006	−	0.120725i
$528$	−11.2662	−	13.4955i	−0.490300	−	0.587317i
$529$	2.95538	+	5.11886i	0.128495	+	0.222559i
$530$	0.208716	+	0.111484i	0.00906606	+	0.00484255i
$531$	30.9301	−	21.3207i	1.34225	−	0.925238i
$532$	−2.81771	+	1.89205i	−0.122163	+	0.0820306i
$533$	5.46153	−	9.45966i	0.236565	−	0.409743i
$534$	24.8148	−	16.8521i	1.07384	−	0.729262i
$535$		−	0.0977471i		−	0.00422598i
$536$	1.91673	+	19.2900i	0.0827901	+	0.833201i
$537$	−3.10310	−	4.91059i	−0.133909	−	0.211908i
$538$	0.948892	+	28.7326i	0.0409097	+	1.23875i
$539$	0.0605726	+	17.7621i	0.00260905	+	0.765067i
$540$	0.135177	−	0.116073i	0.00581710	−	0.00499497i
$541$	−3.08415	+	1.78063i	−0.132598	+	0.0765554i	−0.564832	−	0.825206i	$-0.691059\pi$
$541$	−3.08415	+	1.78063i	−0.132598	+	0.0765554i	0.432234	+	0.901762i	$0.357726\pi$
$542$	15.7488	−	29.4843i	0.676468	−	1.26646i
$543$	−0.640687	+	1.21979i	−0.0274945	+	0.0523462i
$544$	1.90087	+	2.30943i	0.0814992	+	0.0990160i
$545$	0.0679365	−	0.0392232i	0.00291008	−	0.00168014i
$546$	4.04499	−	8.39690i	0.173109	−	0.359354i
$547$	21.0400	−	36.4424i	0.899607	−	1.55816i	0.0716097	−	0.997433i	$-0.477186\pi$
$547$	21.0400	−	36.4424i	0.899607	−	1.55816i	0.827997	−	0.560732i	$-0.189480\pi$
$548$	2.17021	+	32.8214i	0.0927069	+	1.40206i
$549$	11.8713	−	8.18308i	0.506655	−	0.349245i
$550$	17.9317	−	0.592193i	0.764610	−	0.0252512i
$551$	−1.26225			−0.0537736
$552$	−12.4583	−	15.9666i	−0.530262	−	0.679583i
$553$	−19.3289	−	33.3472i	−0.821949	−	1.41807i
$554$	3.94648	−	7.38847i	0.167670	−	0.313906i
$555$	0.0511084	−	0.0973042i	0.00216943	−	0.00413033i
$556$	39.9230	−	2.63979i	1.69311	−	0.111952i
$557$	−4.37286	+	7.57402i	−0.185284	+	0.320921i	−0.943672	−	0.330882i	$-0.892654\pi$
$557$	−4.37286	+	7.57402i	−0.185284	+	0.320921i	0.758388	+	0.651803i	$0.225987\pi$
$558$	−10.2509	+	23.5424i	−0.433954	+	0.996629i
$559$		−	5.87659i		−	0.248553i
$560$	0.143632	−	0.110866i	0.00606957	−	0.00468495i
$561$	2.05737	+	1.08062i	0.0868622	+	0.0456239i
$562$	−16.9374	+	0.559357i	−0.714462	+	0.0235951i
$563$			20.5862i			0.867605i	0.901008	+	0.433803i	$0.142828\pi$
$563$			20.5862i			0.867605i	−0.901008	+	0.433803i	$0.857172\pi$
$564$	−15.0665	+	10.9756i	−0.634414	+	0.462157i
$565$			0.275656i			0.0115969i
$566$	15.0262	−	9.34992i	0.631600	−	0.393006i
$567$	3.83001	+	23.5017i	0.160845	+	0.986980i
$568$	−2.80468	−	28.2263i	−0.117682	−	1.18435i
$569$			3.59675i			0.150783i	0.997154	+	0.0753917i	$0.0240207\pi$
$569$			3.59675i			0.150783i	−0.997154	+	0.0753917i	$0.975979\pi$
$570$	0.0268648	−	0.00196391i	0.00112524	−	8.22590e-5i
$571$	35.9479			1.50437			0.752185	−	0.658951i	$-0.229000\pi$
$571$	35.9479			1.50437			0.752185	+	0.658951i	$0.229000\pi$
$572$	4.05837	+	6.06621i	0.169689	+	0.253641i
$573$	8.75203	+	4.59695i	0.365621	+	0.192040i
$574$	0.986432	+	28.4012i	0.0411729	+	1.18544i
$575$	20.6684			0.861930
$576$	−17.2432	−	16.6934i	−0.718468	−	0.695560i
$577$	9.96352	−	17.2573i	0.414787	−	0.718432i	−0.580619	−	0.814175i	$-0.697190\pi$
$577$	9.96352	−	17.2573i	0.414787	−	0.718432i	0.995406	+	0.0957434i	$0.0305228\pi$
$578$	20.8573	+	11.1408i	0.867550	+	0.463394i
$579$	−8.95220	−	4.70209i	−0.372041	−	0.195412i
$580$	0.0673323	−	0.00445215i	0.00279582	−	0.000184865i
$581$	15.5766	−	0.0265597i	0.646225	−	0.00110188i
$582$	−8.99081	+	18.5827i	−0.372681	+	0.770279i
$583$		−	24.7635i		−	1.02560i
$584$	−9.77187	−	4.41741i	−0.404363	−	0.182794i
$585$	−0.0609036	+	0.0419818i	−0.00251805	+	0.00173574i
$586$	7.07177	+	3.77732i	0.292132	+	0.156040i
$587$	−28.5345	−	16.4744i	−1.17774	−	0.679970i	−0.222252	−	0.974989i	$-0.571341\pi$
$587$	−28.5345	−	16.4744i	−1.17774	−	0.679970i	−0.955491	+	0.295019i	$0.904674\pi$
$588$	2.64744	+	24.1038i	0.109179	+	0.994022i
$589$	−3.36185	+	1.94097i	−0.138523	+	0.0799761i
$590$	−0.303451	+	0.0100215i	−0.0124929	+	0.000412577i
$591$	−21.5307	−	11.3089i	−0.885655	−	0.465185i
$592$	−13.6844	−	5.64982i	−0.562427	−	0.232206i
$593$	17.8903	−	10.3290i	0.734666	−	0.424160i	−0.0854606	−	0.996342i	$-0.527236\pi$
$593$	17.8903	−	10.3290i	0.734666	−	0.424160i	0.820127	+	0.572182i	$0.193903\pi$
$594$	−17.3798	−	6.75507i	−0.713102	−	0.277164i
$595$	−0.0119570	+	0.0207920i	−0.000490190	+	0.000852388i
$596$	10.1322	+	15.1450i	0.415031	+	0.620364i
$597$	8.43400	+	13.3466i	0.345180	+	0.546242i
$598$	4.44198	+	7.13871i	0.181646	+	0.291923i
$599$	17.4622			0.713486			0.356743	−	0.934203i	$-0.383887\pi$
$599$	17.4622			0.713486			0.356743	+	0.934203i	$0.383887\pi$
$600$	24.2572	−	3.39362i	0.990297	−	0.138544i
$601$	15.3723	−	26.6256i	0.627049	−	1.08608i	−0.361091	−	0.932531i	$-0.617596\pi$
$601$	15.3723	−	26.6256i	0.627049	−	1.08608i	0.988141	−	0.153551i	$-0.0490710\pi$
$602$	8.09950	+	12.9673i	0.330111	+	0.528510i
$603$	11.6692	+	16.9287i	0.475207	+	0.689389i
$604$	0.853904	+	12.9141i	0.0347449	+	0.525466i
$605$	−0.0391013	−	0.0677254i	−0.00158969	−	0.00275343i
$606$	−4.41609	−	6.50269i	−0.179391	−	0.264154i
$607$	−2.73519	−	1.57916i	−0.111018	−	0.0640963i	0.443463	−	0.896293i	$-0.353750\pi$
$607$	−2.73519	−	1.57916i	−0.111018	−	0.0640963i	−0.554481	+	0.832196i	$0.687083\pi$
$608$	−0.596197	−	3.57904i	−0.0241790	−	0.145149i
$609$	−4.17987	+	7.99103i	−0.169377	+	0.323813i
$610$	−0.116468	+	0.00384634i	−0.00471564	+	0.000155734i
$611$	6.70200	−	3.86940i	0.271134	−	0.156539i
$612$	2.94900	+	1.16985i	0.119206	+	0.0472882i
$613$	21.5934	+	12.4670i	0.872151	+	0.503537i	0.868062	−	0.496455i	$-0.165365\pi$
$613$	21.5934	+	12.4670i	0.872151	+	0.503537i	0.00408864	+	0.999992i	$0.498699\pi$
$614$	−3.92344	+	2.44132i	−0.158337	+	0.0985236i
$615$	0.104878	−	0.199674i	0.00422907	−	0.00805163i
$616$	−17.3161	−	7.79226i	−0.697685	−	0.313959i
$617$	−12.4470	+	7.18628i	−0.501097	+	0.289309i	−0.729167	−	0.684336i	$-0.760092\pi$
$617$	−12.4470	+	7.18628i	−0.501097	+	0.289309i	0.228069	+	0.973645i	$0.426759\pi$
$618$	8.16545	+	3.95066i	0.328462	+	0.158919i
$619$	−7.96938	−	13.8034i	−0.320316	−	0.554804i	0.660237	−	0.751057i	$-0.270456\pi$
$619$	−7.96938	−	13.8034i	−0.320316	−	0.554804i	−0.980553	+	0.196253i	$0.937123\pi$
$620$	0.172486	−	0.115395i	0.00692720	−	0.00463438i
$621$	−19.7536	−	8.43837i	−0.792684	−	0.338620i
$622$	34.7497	−	21.6226i	1.39334	−	0.866989i
$623$	16.1519	−	28.0864i	0.647111	−	1.12526i
$624$	6.38543	+	7.64893i	0.255622	+	0.306202i
$625$	−12.4978	+	21.6468i	−0.499912	+	0.865873i
$626$	21.4729	−	13.3613i	0.858230	−	0.534025i
$627$	−1.50590	−	2.38306i	−0.0601399	−	0.0951703i
$628$	−34.2825	−	16.8817i	−1.36802	−	0.673653i
$629$	1.95706			0.0780330
$630$	0.0765284	−	0.176579i	0.00304896	−	0.00703507i
$631$		−	5.41283i		−	0.215481i	−0.994179	−	0.107741i	$-0.965638\pi$
$631$		−	5.41283i		−	0.215481i	0.994179	−	0.107741i	$-0.0343616\pi$
$632$	41.0034	−	4.07426i	1.63103	−	0.162065i
$633$	−1.11571	−	27.9055i	−0.0443456	−	1.10914i
$634$	41.4812	−	25.8112i	1.64743	−	1.02510i
$635$	−0.325574	−	0.187970i	−0.0129200	−	0.00745936i
$636$	−3.57636	−	33.6171i	−0.141812	−	1.33301i
$637$	−0.0343311	−	10.0671i	−0.00136025	−	0.398874i
$638$	−3.73091	−	5.99594i	−0.147708	−	0.237381i
$639$	−17.0751	−	24.7711i	−0.675481	−	0.979928i
$640$	0.0444269	+	0.188814i	0.00175613	+	0.00746354i
$641$	−5.52386	+	3.18920i	−0.218179	+	0.125966i	−0.605107	−	0.796144i	$-0.706870\pi$
$641$	−5.52386	+	3.18920i	−0.218179	+	0.125966i	0.386928	+	0.922110i	$0.373536\pi$
$642$	−11.5530	+	7.84582i	−0.455960	+	0.309650i
$643$	4.17492	+	7.23117i	0.164643	+	0.285169i	0.936528	−	0.350592i	$-0.114020\pi$
$643$	4.17492	+	7.23117i	0.164643	+	0.285169i	−0.771886	+	0.635761i	$0.780686\pi$
$644$	−19.6408	−	9.63012i	−0.773955	−	0.379480i
$645$	−0.00484756	−	0.121244i	−0.000190872	−	0.00477398i
$646$	0.253396	+	0.407232i	0.00996972	+	0.0160223i
$647$	−16.0587	+	27.8145i	−0.631334	+	1.09350i	0.355945	+	0.934507i	$0.384159\pi$
$647$	−16.0587	+	27.8145i	−0.631334	+	1.09350i	−0.987279	+	0.158996i	$0.949174\pi$
$648$	−24.5691	−	6.66019i	−0.965166	−	0.261637i
$649$	15.8872	+	27.5175i	0.623628	+	1.08016i
$650$	−10.1632	+	0.335641i	−0.398635	+	0.0131649i
$651$	1.15525	+	27.7106i	0.0452777	+	1.08606i
$652$	30.4954	−	2.01642i	1.19429	−	0.0789690i
$653$	13.4409	−	23.2804i	0.525984	−	0.911031i	−0.473558	−	0.880763i	$-0.657031\pi$
$653$	13.4409	−	23.2804i	0.525984	−	0.911031i	0.999542	−	0.0302679i	$-0.00963606\pi$
$654$	−10.0889	−	4.88128i	−0.394507	−	0.190873i
$655$	0.263878	−	0.152350i	0.0103106	−	0.00595280i
$656$	−28.0813	−	11.5938i	−1.09639	−	0.452661i
$657$	−11.3382	+	0.908092i	−0.442344	+	0.0354280i
$658$	−9.45565	+	17.7754i	−0.368620	+	0.692957i
$659$	13.1866	+	7.61332i	0.513679	+	0.296573i	0.734345	−	0.678777i	$-0.237490\pi$
$659$	13.1866	+	7.61332i	0.513679	+	0.296573i	−0.220666	+	0.975350i	$0.570823\pi$
$660$	0.0887350	+	0.121809i	0.00345401	+	0.00474139i
$661$		−	31.5004i		−	1.22522i	−0.790385	−	0.612611i	$-0.790119\pi$
$661$		−	31.5004i		−	1.22522i	0.790385	−	0.612611i	$-0.209881\pi$
$662$	−25.9360	+	16.1384i	−1.00803	+	0.627237i
$663$	−1.16607	−	0.612470i	−0.0452863	−	0.0237864i
$664$	−6.85932	+	15.1737i	−0.266193	+	0.588854i
$665$	0.0251720	−	0.0145903i	0.000976127	−	0.000565789i
$666$	−15.6029	+	1.76963i	−0.604601	+	0.0685718i
$667$	−4.06763	−	7.04534i	−0.157499	−	0.272797i
$668$	−18.0392	+	1.19279i	−0.697959	+	0.0461504i
$669$	−21.6336	−	34.2348i	−0.836404	−	1.32359i
$670$	−0.00548494	−	0.166085i	−0.000211902	−	0.00641642i
$671$	6.09768	+	10.5615i	0.235398	+	0.407722i
$672$	−24.6324	−	8.07740i	−0.950216	−	0.311592i
$673$	4.97611	−	8.61888i	0.191815	−	0.332233i	−0.754037	−	0.656832i	$-0.771896\pi$
$673$	4.97611	−	8.61888i	0.191815	−	0.332233i	0.945852	+	0.324599i	$0.105229\pi$
$674$	17.2223	+	9.19911i	0.663377	+	0.354337i
$675$	20.7837	−	15.5871i	0.799965	−	0.599948i
$676$	12.1571	+	18.1717i	0.467580	+	0.698912i
$677$	38.6864			1.48684			0.743419	−	0.668826i	$-0.233203\pi$
$677$	38.6864			1.48684			0.743419	+	0.668826i	$0.233203\pi$
$678$	32.5804	−	22.1259i	1.25124	−	0.849740i
$679$	0.0380195	+	22.2974i	0.00145905	+	0.855697i
$680$	−0.0149533	−	0.0208293i	−0.000573433	−	0.000798766i
$681$	11.2031	−	0.447920i	0.429303	−	0.0171643i
$682$	−19.1568	−	10.2324i	−0.733553	−	0.391820i
$683$	26.2628	+	15.1629i	1.00492	+	0.580191i	0.909700	−	0.415266i	$-0.136311\pi$
$683$	26.2628	+	15.1629i	1.00492	+	0.580191i	0.0952196	+	0.995456i	$0.469645\pi$
$684$	−2.38846	−	3.01759i	−0.0913252	−	0.115380i
$685$		−	0.281971i		−	0.0107736i
$686$	13.9509	+	22.1669i	0.532649	+	0.846336i
$687$	−19.4489	−	30.7776i	−0.742023	−	1.17424i
$688$	−16.2023	+	2.15207i	−0.617709	+	0.0820470i
$689$			14.0354i			0.534705i
$690$	0.0975343	+	0.143619i	0.00371307	+	0.00546750i
$691$	−27.1791			−1.03394			−0.516970	−	0.856003i	$-0.672940\pi$
$691$	−27.1791			−1.03394			−0.516970	+	0.856003i	$0.672940\pi$
$692$	16.9858	−	34.4939i	0.645704	−	1.31126i
$693$	−20.0734	+	1.64216i	−0.762525	+	0.0623806i
$694$	−16.9450	−	27.2323i	−0.643224	−	1.03372i
$695$	−0.342982			−0.0130100
$696$	−5.93074	−	7.60082i	−0.224804	−	0.288108i
$697$	4.01600			0.152117
$698$	35.1873	−	1.16206i	1.33186	−	0.0439846i
$699$	−20.9835	+	0.838960i	−0.793670	+	0.0317324i
$700$	21.9637	−	14.7483i	0.830151	−	0.557433i
$701$	44.4522			1.67894			0.839469	−	0.543408i	$-0.182866\pi$
$701$	44.4522			1.67894			0.839469	+	0.543408i	$0.182866\pi$
$702$	9.85045	+	3.82861i	0.371781	+	0.144502i
$703$	−2.05594	−	1.18700i	−0.0775413	−	0.0447685i
$704$	15.2389	−	13.4108i	0.574339	−	0.505440i
$705$	0.135082	−	0.0853608i	0.00508748	−	0.00321487i
$706$	−12.3736	+	23.1654i	−0.465686	+	0.871841i
$707$	−7.36002	−	4.23259i	−0.276802	−	0.159183i
$708$	25.5414	+	35.0613i	0.959906	+	1.31768i
$709$			28.5651i			1.07278i	0.843969	+	0.536392i	$0.180213\pi$
$709$			28.5651i			1.07278i	−0.843969	+	0.536392i	$0.819787\pi$
$710$	0.00802590	+	0.243026i	0.000301207	+	0.00912059i
$711$	35.9841	−	24.8044i	1.34951	−	0.930238i
$712$	20.1993	+	28.1367i	0.757001	+	1.05447i
$713$	−21.6673	−	12.5096i	−0.811448	−	0.468490i
$714$	3.41720	−	0.255667i	0.127886	−	0.00956811i
$715$	−0.0312831	−	0.0541839i	−0.00116992	−	0.00202636i
$716$	5.57495	−	3.72971i	0.208346	−	0.139386i
$717$	−0.372760	−	9.32323i	−0.0139210	−	0.348182i
$718$	39.0433	+	20.8546i	1.45708	+	0.778289i
$719$	10.6394	+	18.4280i	0.396784	+	0.687249i	0.993327	−	0.115331i	$-0.0367930\pi$
$719$	10.6394	+	18.4280i	0.396784	+	0.687249i	−0.596543	+	0.802581i	$0.703460\pi$
$720$	0.138052	+	0.152543i	0.00514488	+	0.00568494i
$721$	9.79774	−	0.0167062i	0.364887	−	0.000622170i
$722$	0.867694	+	26.2739i	0.0322922	+	0.977814i
$723$	−1.20978	−	30.2582i	−0.0449922	−	1.12532i
$724$	−1.42729	−	0.702842i	−0.0530450	−	0.0261209i
$725$	9.83908			0.365414
$726$	−4.86611	+	10.0576i	−0.180598	+	0.373271i
$727$	33.2497	+	19.1967i	1.23316	+	0.711967i	0.967688	−	0.252151i	$-0.0811380\pi$
$727$	33.2497	+	19.1967i	1.23316	+	0.711967i	0.265475	+	0.964118i	$0.414471\pi$
$728$	9.81434	+	4.41646i	0.363744	+	0.163685i
$729$	−26.2276	+	6.41176i	−0.971394	+	0.237473i
$730$	0.0810872	+	0.0433120i	0.00300117	+	0.00160305i
$731$	1.87113	−	1.08030i	0.0692063	−	0.0399563i
$732$	9.80306	+	13.4569i	0.362331	+	0.497380i
$733$	−42.0785	−	24.2940i	−1.55420	−	0.897320i	−0.997792	−	0.0664137i	$-0.978844\pi$
$733$	−42.0785	−	24.2940i	−1.55420	−	0.897320i	−0.556412	−	0.830907i	$-0.687822\pi$
$734$	6.03350	−	11.2957i	0.222701	−	0.416932i
$735$	−0.00901260	−	0.207673i	−0.000332435	−	0.00766015i
$736$	18.0554	−	14.8613i	0.665532	−	0.547794i
$737$	−15.0609	+	8.69539i	−0.554774	+	0.320299i
$738$	−32.0181	+	3.63139i	−1.17860	+	0.133673i
$739$	−2.18092	+	3.77747i	−0.0802266	+	0.138957i	−0.903347	−	0.428910i	$-0.858898\pi$
$739$	−2.18092	+	3.77747i	−0.0802266	+	0.138957i	0.823121	+	0.567867i	$0.192231\pi$
$740$	0.113857	+	0.0560666i	0.00418547	+	0.00206105i
$741$	0.853509	+	1.35066i	0.0313544	+	0.0496178i
$742$	−19.3445	−	30.9706i	−0.710158	−	1.13697i
$743$	4.30107	+	7.44968i	0.157791	+	0.273302i	0.934072	−	0.357085i	$-0.116229\pi$
$743$	4.30107	+	7.44968i	0.157791	+	0.273302i	−0.776281	+	0.630387i	$0.782896\pi$
$744$	−27.4837	−	11.1242i	−1.00760	−	0.407832i
$745$	−0.0781019	−	0.135276i	−0.00286143	−	0.00495614i
$746$	−45.0774	+	1.48868i	−1.65040	+	0.0545044i
$747$	1.41008	+	17.6058i	0.0515921	+	0.644163i
$748$	−1.18546	+	2.40736i	−0.0433445	+	0.0880218i
$749$	−7.51981	+	13.0761i	−0.274768	+	0.477792i
$750$	−0.418829	+	0.0306178i	−0.0152935	+	0.00111800i
$751$	−32.8891	−	18.9885i	−1.20014	−	0.692902i	−0.239554	−	0.970883i	$-0.577001\pi$
$751$	−32.8891	−	18.9885i	−1.20014	−	0.692902i	−0.960586	+	0.277981i	$0.910335\pi$
$752$	−13.1227	−	17.0611i	−0.478535	−	0.622153i
$753$	15.0836	−	28.7173i	0.549677	−	1.04652i
$754$	2.11459	+	3.39835i	0.0770087	+	0.123761i
$755$		−	0.110946i		−	0.00403774i
$756$	−27.0130	+	5.12828i	−0.982452	+	0.186514i
$757$			26.3267i			0.956859i	0.878126	+	0.478430i	$0.158794\pi$
$757$			26.3267i			0.956859i	−0.878126	+	0.478430i	$0.841206\pi$
$758$	11.6290	−	7.23600i	0.422383	−	0.262823i
$759$	8.44844	−	16.0848i	0.306659	−	0.583841i
$760$	0.00307543	+	0.0309512i	0.000111558	+	0.00112272i
$761$	−6.75806	−	3.90177i	−0.244979	−	0.141439i	0.372484	−	0.928039i	$-0.378506\pi$
$761$	−6.75806	−	3.90177i	−0.244979	−	0.141439i	−0.617463	+	0.786600i	$0.711840\pi$
$762$	3.91600	+	53.5681i	0.141862	+	1.94057i
$763$	−12.1057	+	0.0206415i	−0.438256	+	0.000747272i
$764$	−5.04291	+	10.2409i	−0.182446	+	0.370502i
$765$	−0.0245632	−	0.0116744i	−0.000888083	−	0.000422089i
$766$	0.0870223	+	2.63505i	0.00314424	+	0.0952082i
$767$	−9.00450	−	15.5962i	−0.325134	−	0.563148i
$768$	18.7505	−	20.4064i	0.676599	−	0.736352i
$769$	−15.8750	−	27.4962i	−0.572466	−	0.991539i	−0.996312	−	0.0858054i	$-0.972654\pi$
$769$	−15.8750	−	27.4962i	−0.572466	−	0.991539i	0.423846	−	0.905734i	$-0.360680\pi$
$770$	0.143709	+	0.0764464i	0.00517892	+	0.00275494i
$771$	15.7572	+	24.9354i	0.567481	+	0.898028i
$772$	5.15825	−	10.4751i	0.185650	−	0.377007i
$773$	−5.22468	+	9.04940i	−0.187919	+	0.325484i	−0.944556	−	0.328350i	$-0.893507\pi$
$773$	−5.22468	+	9.04940i	−0.187919	+	0.325484i	0.756638	+	0.653835i	$0.226841\pi$
$774$	−13.9410	+	10.3048i	−0.501100	+	0.370397i
$775$	26.2053	−	15.1296i	0.941320	−	0.543472i
$776$	−21.7208	−	9.81894i	−0.779730	−	0.352479i
$777$	−14.3228	+	9.08504i	−0.513827	+	0.325924i
$778$	−31.2602	−	16.6973i	−1.12073	−	0.598629i
$779$	−4.21891	−	2.43579i	−0.151158	−	0.0872712i
$780$	−0.0502928	−	0.0690381i	−0.00180077	−	0.00247196i
$781$	22.0380	−	12.7236i	0.788581	−	0.455288i
$782$	−1.45642	+	2.72666i	−0.0520816	+	0.0975053i
$783$	−9.40360	−	4.01705i	−0.336057	−	0.143558i
$784$	−27.7435	+	3.78135i	−0.990839	+	0.135048i
$785$	0.283694	+	0.163791i	0.0101255	+	0.00584594i
$786$	−39.1871	−	18.9598i	−1.39776	−	0.676273i
$787$	−31.1668			−1.11098			−0.555488	−	0.831524i	$-0.687469\pi$
$787$	−31.1668			−1.11098			−0.555488	+	0.831524i	$0.687469\pi$
$788$	12.4060	−	25.1934i	0.441944	−	0.897478i
$789$	0.489437	+	12.2415i	0.0174244	+	0.435809i
$790$	−0.353035	+	0.0116589i	−0.0125604	+	0.000414807i
$791$	21.2065	−	36.8759i	0.754018	−	1.31115i
$792$	7.27441	−	20.2650i	0.258485	−	0.720084i
$793$	−3.45602	−	5.98600i	−0.122727	−	0.212569i
$794$	−0.904569	+	1.69350i	−0.0321019	+	0.0601001i
$795$	0.0115777	+	0.289573i	0.000410618	+	0.0102701i
$796$	−15.1523	+	10.1371i	−0.537060	+	0.359300i
$797$	−3.53700	−	6.12627i	−0.125287	−	0.217004i	0.796558	−	0.604562i	$-0.206652\pi$
$797$	−3.53700	−	6.12627i	−0.125287	−	0.217004i	−0.921845	+	0.387558i	$0.873319\pi$
$798$	−3.74493	−	1.80402i	−0.132569	−	0.0638617i
$799$	2.46407	+	1.42263i	0.0871725	+	0.0503291i
$800$	4.64729	+	27.8982i	0.164306	+	0.986350i
$801$	33.1806	+	15.7701i	1.17238	+	0.557210i
$802$	27.8506	−	0.919763i	0.983438	−	0.0324780i
$803$		−	9.62073i		−	0.339508i
$804$	−19.1897	+	13.9793i	−0.676769	+	0.493013i
$805$	0.162554	+	0.0934816i	0.00572929	+	0.00329479i
$806$	10.8576	+	5.79950i	0.382443	+	0.204279i
$807$	−29.7645	+	18.8088i	−1.04776	+	0.662099i
$808$	7.37321	−	5.29322i	0.259389	−	0.186215i
$809$	1.62973	+	0.940928i	0.0572984	+	0.0330813i	0.528376	−	0.849011i	$-0.322801\pi$
$809$	1.62973	+	0.940928i	0.0572984	+	0.0330813i	−0.471077	+	0.882092i	$0.656135\pi$
$810$	0.206390	+	0.0708652i	0.00725180	+	0.00248995i
$811$	−33.7434			−1.18489			−0.592446	−	0.805610i	$-0.701838\pi$
$811$	−33.7434			−1.18489			−0.592446	+	0.805610i	$0.701838\pi$
$812$	−9.34990	−	4.58438i	−0.328117	−	0.160880i
$813$	40.9066	−	1.63552i	1.43466	−	0.0573602i
$814$	−0.438393	−	13.2746i	−0.0153657	−	0.465275i
$815$	−0.261989			−0.00917707
$816$	−1.26161	+	3.43926i	−0.0441653	+	0.120398i
$817$	−2.62090			−0.0916937
$818$	37.5283	−	23.3516i	1.31215	−	0.816469i
$819$	11.3771	−	0.930737i	0.397548	−	0.0325226i
$820$	0.233642	+	0.115052i	0.00815912	+	0.00401779i
$821$	9.02557			0.314995			0.157497	−	0.987519i	$-0.449657\pi$
$821$	9.02557			0.314995			0.157497	+	0.987519i	$0.449657\pi$
$822$	−33.3269	+	22.6328i	−1.16241	+	0.789411i
$823$			8.46048i			0.294914i	0.989068	+	0.147457i	$0.0471088\pi$
$823$			8.46048i			0.294914i	−0.989068	+	0.147457i	$0.952891\pi$
$824$	−4.31455	+	9.54434i	−0.150304	+	0.332493i
$825$	11.7383	+	18.5757i	0.408676	+	0.646722i
$826$	41.3652	+	22.0043i	1.43928	+	0.765627i
$827$		−	43.3024i		−	1.50577i	−0.658151	−	0.752886i	$-0.728661\pi$
$827$		−	43.3024i		−	1.50577i	0.658151	−	0.752886i	$-0.271339\pi$
$828$	9.14601	−	23.0557i	0.317846	−	0.801240i
$829$	−42.1463	−	24.3332i	−1.46380	−	0.845125i	−0.464616	−	0.885512i	$-0.653808\pi$
$829$	−42.1463	−	24.3332i	−1.46380	−	0.845125i	−0.999184	+	0.0403869i	$0.987141\pi$
$830$	0.0672546	−	0.125912i	0.00233444	−	0.00437046i
$831$	10.2508	−	0.409844i	0.355595	−	0.0142173i
$832$	−8.63706	+	7.60094i	−0.299436	+	0.263515i
$833$	3.19911	−	1.86158i	0.110842	−	0.0644999i
$834$	27.5300	+	40.5379i	0.953284	+	1.40371i
$835$	0.154977			0.00536319
$836$	2.70547	−	1.80999i	0.0935706	−	0.0625999i
$837$	−31.2224	+	3.76103i	−1.07921	+	0.130000i
$838$	6.62979	−	12.4121i	0.229022	−	0.428767i
$839$	−22.4682	+	38.9160i	−0.775687	+	1.34353i	0.158720	+	0.987324i	$0.449263\pi$
$839$	−22.4682	+	38.9160i	−0.775687	+	1.34353i	−0.934408	+	0.356206i	$0.884070\pi$
$840$	0.206130	+	0.0830234i	0.00711215	+	0.00286458i
$841$	12.5636	+	21.7608i	0.433228	+	0.750373i
$842$	27.2267	−	0.899160i	0.938294	−	0.0309871i
$843$	−11.0875	−	17.5457i	−0.381873	−	0.604306i
$844$	32.1779	−	2.12767i	1.10761	−	0.0732374i
$845$	−0.0937103	−	0.162311i	−0.00322373	−	0.00558367i
$846$	−20.9315	−	9.11405i	−0.719641	−	0.313348i
$847$	0.0205774	+	12.0681i	0.000707046	+	0.414664i
$848$	38.6969	−	5.13991i	1.32886	−	0.176505i
$849$	19.1892	+	10.0790i	0.658572	+	0.345911i
$850$	−1.97519	−	3.17432i	−0.0677484	−	0.108878i
$851$		−	15.3005i		−	0.524495i
$852$	28.0796	−	20.4554i	0.961991	−	0.700791i
$853$	−27.7379	−	16.0145i	−0.949727	−	0.548325i	−0.0567309	−	0.998390i	$-0.518068\pi$
$853$	−27.7379	−	16.0145i	−0.949727	−	0.548325i	−0.892996	+	0.450064i	$0.851401\pi$
$854$	15.8764	+	8.44546i	0.543279	+	0.288998i
$855$	0.0187235	+	0.0271624i	0.000640330	+	0.000928934i
$856$	−9.40417	−	13.0996i	−0.321428	−	0.447735i
$857$	5.77290	−	3.33299i	0.197199	−	0.113853i	−0.398150	−	0.917321i	$-0.630347\pi$
$857$	5.77290	−	3.33299i	0.197199	−	0.113853i	0.595348	+	0.803468i	$0.297014\pi$
$858$	−3.89314	+	8.04657i	−0.132910	+	0.274705i
$859$	−9.83796	+	17.0398i	−0.335667	+	0.581392i	−0.983613	−	0.180294i	$-0.942295\pi$
$859$	−9.83796	+	17.0398i	−0.335667	+	0.581392i	0.647946	+	0.761686i	$0.275628\pi$
$860$	0.139807	−	0.00924432i	0.00476738	−	0.000315229i
$861$	−29.3912	+	18.6430i	−1.00165	+	0.635353i
$862$	−0.105642	−	3.19885i	−0.00359818	−	0.108953i
$863$	19.0799	+	33.0474i	0.649487	+	1.12495i	0.983245	+	0.182286i	$0.0583498\pi$
$863$	19.0799	+	33.0474i	0.649487	+	1.12495i	−0.333758	+	0.942659i	$0.608317\pi$
$864$	6.94852	−	28.5608i	0.236394	−	0.971657i
$865$	−0.164801	+	0.285443i	−0.00560340	+	0.00970537i
$866$	10.4156	−	6.48100i	0.353936	−	0.220233i
$867$	1.15697	+	28.9375i	0.0392929	+	0.982769i
$868$	−31.9518	+	2.16744i	−1.08451	+	0.0735678i
$869$	18.4832	+	32.0138i	0.626999	+	1.08599i
$870$	0.0464308	+	0.0683694i	0.00157415	+	0.00231794i
$871$	8.53613	−	4.92834i	0.289236	−	0.166990i
$872$	5.33088	−	11.7926i	0.180527	−	0.399348i
$873$	−25.2023	+	2.01849i	−0.852967	+	0.0683156i
$874$	3.18379	−	1.98108i	0.107693	−	0.0670111i
$875$	−0.392437	+	0.227466i	−0.0132668	+	0.00768977i
$876$	−1.38943	−	13.0604i	−0.0469445	−	0.441270i
$877$	21.8525	+	12.6166i	0.737907	+	0.426031i	0.821308	−	0.570485i	$-0.193245\pi$
$877$	21.8525	+	12.6166i	0.737907	+	0.426031i	−0.0834009	+	0.996516i	$0.526578\pi$
$878$	−12.5921	−	20.2368i	−0.424964	−	0.682959i
$879$	0.392277	+	9.81139i	0.0132312	+	0.330930i
$880$	−0.137934	+	0.106093i	−0.00464976	+	0.00357640i
$881$			52.0642i			1.75409i	0.480411	+	0.877043i	$0.340487\pi$
$881$			52.0642i			1.75409i	−0.480411	+	0.877043i	$0.659513\pi$
$882$	−23.8220	+	17.7344i	−0.802130	+	0.597150i
$883$	−30.0044			−1.00973			−0.504865	−	0.863198i	$-0.668458\pi$
$883$	−30.0044			−1.00973			−0.504865	+	0.863198i	$0.668458\pi$
$884$	0.671887	−	1.36443i	0.0225980	−	0.0458908i
$885$	−0.198643	−	0.314349i	−0.00667732	−	0.0105667i
$886$	−11.7383	−	18.8646i	−0.394356	−	0.633770i
$887$	−2.79928	+	4.84850i	−0.0939906	+	0.162797i	−0.909187	−	0.416388i	$-0.863296\pi$
$887$	−2.79928	+	4.84850i	−0.0939906	+	0.162797i	0.815196	+	0.579185i	$0.196629\pi$
$888$	−2.51226	−	17.9573i	−0.0843058	−	0.602608i
$889$	29.0929	+	50.1925i	0.975744	+	1.68340i
$890$	−0.156865	−	0.252097i	−0.00525812	−	0.00845032i
$891$	−3.63481	−	22.5460i	−0.121771	−	0.755319i
$892$	38.8665	−	26.0021i	1.30135	−	0.870616i
$893$	−1.72571	−	2.98903i	−0.0577488	−	0.100024i
$894$	−9.71970	+	20.0892i	−0.325075	+	0.671884i
$895$	−0.0497959	+	0.0287497i	−0.00166449	+	0.000960996i
$896$	8.58252	−	28.6765i	0.286722	−	0.958014i
$897$	−4.78837	+	9.11647i	−0.159879	+	0.304390i
$898$	12.9838	+	20.8662i	0.433274	+	0.696314i
$899$	−10.3146	−	5.95516i	−0.344012	−	0.198616i
$900$	18.6178	+	23.5217i	0.620593	+	0.784058i
$901$	−4.46892	+	2.58013i	−0.148881	+	0.0859568i
$902$	−0.899609	−	27.2403i	−0.0299537	−	0.907003i
$903$	−8.67897	+	16.5924i	−0.288818	+	0.552159i
$904$	26.5206	+	36.9420i	0.882062	+	1.22867i
$905$	0.0118111	+	0.00681916i	0.000392615	+	0.000226676i
$906$	−13.1130	+	8.90524i	−0.435650	+	0.295857i
$907$	−25.9055	−	44.8696i	−0.860176	−	1.48987i	−0.871758	−	0.489936i	$-0.837020\pi$
$907$	−25.9055	−	44.8696i	−0.860176	−	1.48987i	0.0115818	−	0.999933i	$-0.496313\pi$
$908$	0.854186	+	12.9183i	0.0283472	+	0.428710i
$909$	4.13255	−	8.69496i	0.137068	−	0.288394i
$910$	−0.0814509	−	0.0433279i	−0.00270007	−	0.00143631i
$911$	16.1491	−	27.9710i	0.535043	−	0.926721i	−0.464119	−	0.885773i	$-0.653629\pi$
$911$	16.1491	−	27.9710i	0.535043	−	0.926721i	0.999161	−	0.0409481i	$-0.0130378\pi$
$912$	3.41135	−	2.84784i	0.112961	−	0.0943013i
$913$	−14.9390			−0.494409
$914$	23.6007	−	14.6853i	0.780643	−	0.485747i
$915$	−0.0762413	−	0.120650i	−0.00252046	−	0.00398858i
$916$	34.9415	−	23.3763i	1.15450	−	0.772374i
$917$	−47.0207	+	0.0801753i	−1.55276	+	0.00264762i
$918$	0.591771	+	3.84025i	0.0195314	+	0.126747i
$919$	47.2216	−	27.2634i	1.55770	−	0.899336i	0.560219	−	0.828345i	$-0.310717\pi$
$919$	47.2216	−	27.2634i	1.55770	−	0.899336i	0.997477	−	0.0709911i	$-0.0226162\pi$
$920$	−0.162846	+	0.116907i	−0.00536887	+	0.00385430i
$921$	−5.01042	−	2.63169i	−0.165099	−	0.0867172i
$922$	0.108413	+	3.28275i	0.00357038	+	0.108112i
$923$	−12.4906	+	7.21145i	−0.411133	+	0.237368i
$924$	−2.49965	−	23.1214i	−0.0822326	−	0.760640i
$925$	16.0258	+	9.25251i	0.526926	+	0.304221i
$926$	27.5346	−	51.5494i	0.904844	−	1.69402i
$927$	0.886947	+	11.0741i	0.0291312	+	0.363723i
$928$	8.59521	−	7.07464i	0.282152	−	0.232237i
$929$			24.7332i			0.811470i	0.913991	+	0.405735i	$0.132984\pi$
$929$			24.7332i			0.811470i	−0.913991	+	0.405735i	$0.867016\pi$
$930$	0.228795	+	0.110697i	0.00750249	+	0.00362990i
$931$	−4.48984	+	0.0153113i	−0.147148	+	0.000501808i
$932$	−1.59990	−	24.1962i	−0.0524066	−	0.792574i
$933$	44.3770	+	23.3088i	1.45284	+	0.763095i
$934$	−15.3623	+	28.7608i	−0.502671	+	0.941082i
$935$	0.0115016	−	0.0199213i	0.000376142	−	0.000651497i
$936$	−4.12296	+	11.4857i	−0.134763	+	0.375421i
$937$	11.3131			0.369584			0.184792	−	0.982778i	$-0.440839\pi$
$937$	11.3131			0.369584			0.184792	+	0.982778i	$0.440839\pi$
$938$	−12.0434	+	22.6400i	−0.393230	+	0.739222i
$939$	27.4219	+	14.4032i	0.894881	+	0.470031i
$940$	0.102598	+	0.153357i	0.00334637	+	0.00500196i
$941$	−27.7022			−0.903066			−0.451533	−	0.892254i	$-0.649123\pi$
$941$	−27.7022			−0.903066			−0.451533	+	0.892254i	$0.649123\pi$
$942$	−3.41227	−	46.6774i	−0.111178	−	1.52083i
$943$		−	31.3976i		−	1.02245i
$944$	−39.7029	+	30.5378i	−1.29222	+	0.993922i
$945$	0.233961	−	0.0285876i	0.00761076	−	0.000929954i
$946$	−7.74676	−	12.4498i	−0.251869	−	0.404778i
$947$			20.0902i			0.652844i	0.945224	+	0.326422i	$0.105843\pi$
$947$			20.0902i			0.652844i	−0.945224	+	0.326422i	$0.894157\pi$
$948$	29.7148	+	40.7902i	0.965093	+	1.32481i
$949$			5.45280i			0.177005i
$950$	0.149692	+	4.53271i	0.00485666	+	0.147060i
$951$	52.9735	+	27.8240i	1.71778	+	0.902255i
$952$	0.397957	+	3.93681i	0.0128979	+	0.127593i
$953$			18.6689i			0.604745i	0.953190	+	0.302373i	$0.0977787\pi$
$953$			18.6689i			0.604745i	−0.953190	+	0.302373i	$0.902221\pi$
$954$	33.2961	−	24.6114i	1.07800	−	0.796825i
$955$	0.0489276	−	0.0847452i	0.00158326	−	0.00274229i
$956$	10.7507	−	0.710855i	0.347701	−	0.0229907i
$957$	4.02184	−	7.65710i	0.130008	−	0.247519i
$958$	−41.4929	−	22.1630i	−1.34057	−	0.716055i
$959$	−21.6924	+	37.7208i	−0.700485	+	1.21807i
$960$	−0.171927	+	0.163945i	−0.00554893	+	0.00529130i
$961$	−5.62912			−0.181584
$962$	0.248471	+	7.52373i	0.00801101	+	0.242575i
$963$	−15.4479	−	7.34208i	−0.497800	−	0.236595i
$964$	34.8909	−	2.30706i	1.12376	−	0.0743053i
$965$	−0.0500467	+	0.0866834i	−0.00161106	+	0.00279044i
$966$	−1.99884	−	26.7162i	−0.0643117	−	0.859578i
$967$	3.80195	−	2.19506i	0.122262	−	0.0705883i	−0.437622	−	0.899159i	$-0.644179\pi$
$967$	3.80195	−	2.19506i	0.122262	−	0.0705883i	0.559884	+	0.828571i	$0.310846\pi$
$968$	−11.7560	−	5.31432i	−0.377851	−	0.170809i
$969$	−0.273155	+	0.520054i	−0.00877502	+	0.0167066i
$970$	0.180239	+	0.0962731i	0.00578713	+	0.00309114i
$971$	−16.2121	+	9.36006i	−0.520271	+	0.300379i	−0.737046	−	0.675843i	$-0.763780\pi$
$971$	−16.2121	+	9.36006i	−0.520271	+	0.300379i	0.216774	+	0.976222i	$0.430446\pi$
$972$	−8.19045	−	30.0818i	−0.262709	−	0.964875i
$973$	45.8825	+	26.3860i	1.47092	+	0.845898i
$974$	10.6026	−	0.350152i	0.339731	−	0.0112196i
$975$	−6.65300	−	10.5282i	−0.213066	−	0.337174i
$976$	−15.2384	+	11.7207i	−0.487768	+	0.375171i
$977$			26.6951i			0.854052i	0.904239	+	0.427026i	$0.140439\pi$
$977$			26.6951i			0.854052i	−0.904239	+	0.427026i	$0.859561\pi$
$978$	21.0289	+	30.9651i	0.672431	+	0.990156i
$979$	−15.5367	+	26.9103i	−0.496554	+	0.860056i
$980$	0.239448	−	0.0166531i	0.00764889	−	0.000531964i
$981$	−1.09588	−	13.6828i	−0.0349886	−	0.436858i
$982$	−1.61529	+	3.02409i	−0.0515459	+	0.0965025i
$983$	28.4531	+	49.2823i	0.907514	+	1.57186i	0.817507	+	0.575919i	$0.195355\pi$
$983$	28.4531	+	49.2823i	0.907514	+	1.57186i	0.0900066	+	0.995941i	$0.471311\pi$
$984$	−5.15530	−	36.8495i	−0.164345	−	1.17472i
$985$	−0.120366	+	0.208480i	−0.00383518	+	0.00664272i
$986$	−0.693324	+	1.29802i	−0.0220799	+	0.0413373i
$987$	−24.6375	+	1.02713i	−0.784220	+	0.0326940i
$988$	−1.53339	+	1.02586i	−0.0487838	+	0.0326369i
$989$	−8.44592	−	14.6288i	−0.268565	−	0.465168i
$990$	−0.0736846	+	0.169226i	−0.00234185	+	0.00537835i
$991$	−19.1194	−	11.0386i	−0.607348	−	0.350653i	0.164579	−	0.986364i	$-0.447374\pi$
$991$	−19.1194	−	11.0386i	−0.607348	−	0.350653i	−0.771927	+	0.635711i	$0.780707\pi$
$992$	12.0136	−	32.0594i	0.381433	−	1.01789i
$993$	−33.1215	−	17.3969i	−1.05108	−	0.552074i
$994$	17.6226	−	33.1282i	0.558955	−	1.05076i
$995$	0.135342	−	0.0781396i	0.00429062	−	0.00247719i
$996$	−20.2801	+	2.15750i	−0.642600	+	0.0683630i
$997$	−22.5699	+	13.0308i	−0.714797	+	0.412688i	−0.812835	−	0.582494i	$-0.802077\pi$
$997$	−22.5699	+	13.0308i	−0.714797	+	0.412688i	0.0980376	+	0.995183i	$0.468743\pi$
$998$	0.867216	+	26.2594i	0.0274512	+	0.831228i
$999$	−11.5389	−	15.3859i	−0.365076	−	0.486789i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.bt.a.11.18	✓	184
7.2	even	3		504.2.cy.a.443.80	yes	184
8.3	odd	2	inner	504.2.bt.a.11.75	yes	184
9.5	odd	6		504.2.cy.a.347.49	yes	184
56.51	odd	6		504.2.cy.a.443.49	yes	184
63.23	odd	6	inner	504.2.bt.a.275.75	yes	184
72.59	even	6		504.2.cy.a.347.80	yes	184
504.275	even	6	inner	504.2.bt.a.275.18	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bt.a.11.18	✓	184	1.1	even	1	trivial
504.2.bt.a.11.75	yes	184	8.3	odd	2	inner
504.2.bt.a.275.18	yes	184	504.275	even	6	inner
504.2.bt.a.275.75	yes	184	63.23	odd	6	inner
504.2.cy.a.347.49	yes	184	9.5	odd	6
504.2.cy.a.347.80	yes	184	72.59	even	6
504.2.cy.a.443.49	yes	184	56.51	odd	6
504.2.cy.a.443.80	yes	184	7.2	even	3

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.bt (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.20074 + 0.747147i) q^{2} +(-1.53340 - 0.805409i) q^{3} +(0.883544 - 1.79425i) q^{4} +(-0.00857237 + 0.0148478i) q^{5} +(2.44297 - 0.178589i) q^{6} +(2.28903 - 1.32678i) q^{7} +(0.279666 + 2.81457i) q^{8} +(1.70263 + 2.47003i) q^{9} +O(q^{10})\)	\(q+(-1.20074 + 0.747147i) q^{2} +(-1.53340 - 0.805409i) q^{3} +(0.883544 - 1.79425i) q^{4} +(-0.00857237 + 0.0148478i) q^{5} +(2.44297 - 0.178589i) q^{6} +(2.28903 - 1.32678i) q^{7} +(0.279666 + 2.81457i) q^{8} +(1.70263 + 2.47003i) q^{9} +(-0.000800297 - 0.0242331i) q^{10} +(-2.19750 + 1.26873i) q^{11} +(-2.79994 + 2.03970i) q^{12} +(1.24549 - 0.719084i) q^{13} +(-1.75722 + 3.30336i) q^{14} +(0.0251034 - 0.0158633i) q^{15} +(-2.43870 - 3.17061i) q^{16} +(0.457919 + 0.264380i) q^{17} +(-3.88989 - 1.69374i) q^{18} +(-0.320704 - 0.555476i) q^{19} +(0.0190666 + 0.0284997i) q^{20} +(-4.57860 + 0.190881i) q^{21} +(1.69070 - 3.16527i) q^{22} +(2.06696 - 3.58007i) q^{23} +(1.83804 - 4.54110i) q^{24} +(2.49985 + 4.32987i) q^{25} +(-0.958246 + 1.79400i) q^{26} +(-0.621432 - 5.15886i) q^{27} +(-0.358125 - 5.27937i) q^{28} +(0.983966 - 1.70428i) q^{29} +(-0.0182904 + 0.0378036i) q^{30} -6.05220i q^{31} +(5.29715 + 1.98500i) q^{32} +(4.39149 - 0.175580i) q^{33} +(-0.747372 + 0.0246819i) q^{34} +(7.73447e-5 + 0.0453607i) q^{35} +(5.93621 - 0.872576i) q^{36} +(3.20535 - 1.85061i) q^{37} +(0.800104 + 0.427368i) q^{38} +(-2.48899 + 0.0995144i) q^{39} +(-0.0441875 - 0.0199751i) q^{40} +(6.57757 - 3.79756i) q^{41} +(5.35508 - 3.65008i) q^{42} +(2.04308 - 3.53872i) q^{43} +(0.334832 + 5.06385i) q^{44} +(-0.0512700 + 0.00410630i) q^{45} +(0.192966 + 5.84305i) q^{46} +5.38101 q^{47} +(1.18587 + 6.82596i) q^{48} +(3.47931 - 6.07408i) q^{49} +(-6.23672 - 3.33129i) q^{50} +(-0.489240 - 0.774213i) q^{51} +(-0.189775 - 2.87007i) q^{52} +(-4.87960 + 8.45171i) q^{53} +(4.60060 + 5.73014i) q^{54} -0.0435040i q^{55} +(4.37448 + 6.07157i) q^{56} +(0.0443824 + 1.11007i) q^{57} +(0.0918608 + 2.78156i) q^{58} -12.5222i q^{59} +(-0.00628287 - 0.0590579i) q^{60} -4.80614i q^{61} +(4.52188 + 7.26711i) q^{62} +(7.17456 + 3.39495i) q^{63} +(-7.84357 + 1.57428i) q^{64} +0.0246570i q^{65} +(-5.14185 + 3.49192i) q^{66} +6.85363 q^{67} +(0.878957 - 0.588033i) q^{68} +(-6.05290 + 3.82494i) q^{69} +(-0.0339839 - 0.0544085i) q^{70} -10.0287 q^{71} +(-6.47589 + 5.48296i) q^{72} +(-1.89574 + 3.28352i) q^{73} +(-2.46611 + 4.61697i) q^{74} +(-0.345956 - 8.65283i) q^{75} +(-1.28002 + 0.0846376i) q^{76} +(-3.34682 + 5.81976i) q^{77} +(2.91428 - 1.97913i) q^{78} -14.5683i q^{79} +(0.0679819 - 0.00902968i) q^{80} +(-3.20209 + 8.41110i) q^{81} +(-5.06061 + 9.47429i) q^{82} +(5.09864 + 2.94370i) q^{83} +(-3.70290 + 8.38382i) q^{84} +(-0.00785091 + 0.00453272i) q^{85} +(0.190737 + 5.77556i) q^{86} +(-2.88146 + 1.82085i) q^{87} +(-4.18549 - 5.83019i) q^{88} +(10.6052 - 6.12293i) q^{89} +(0.0584939 - 0.0432368i) q^{90} +(1.89690 - 3.29850i) q^{91} +(-4.59732 - 6.87180i) q^{92} +(-4.87450 + 9.28044i) q^{93} +(-6.46119 + 4.02041i) q^{94} +0.0109968 q^{95} +(-6.52391 - 7.31017i) q^{96} +(-4.21383 + 7.29856i) q^{97} +(0.360491 + 9.89293i) q^{98} +(-6.87533 - 3.26772i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

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