LMFDB - Embedded newform 504.2.bf.b.115.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(115,504)]

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, 4, 1]))

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

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

chi := DirichletCharacter("504.115");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.bf (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:	$180$
Relative dimension:	$90$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			115.9
Character	$\chi$	$=$	504.115
Dual form			504.2.bf.b.355.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.37396 - 0.335011i) q^{2} +(-1.69738 + 0.344799i) q^{3} +(1.77554 + 0.920584i) q^{4} +(0.237272 - 0.410968i) q^{5} +(2.44765 + 0.0949016i) q^{6} +(-2.23531 - 1.41542i) q^{7} +(-2.13111 - 1.85967i) q^{8} +(2.76223 - 1.17051i) q^{9} +O(q^{10})$	\(q+(-1.37396 - 0.335011i) q^{2} +(-1.69738 + 0.344799i) q^{3} +(1.77554 + 0.920584i) q^{4} +(0.237272 - 0.410968i) q^{5} +(2.44765 + 0.0949016i) q^{6} +(-2.23531 - 1.41542i) q^{7} +(-2.13111 - 1.85967i) q^{8} +(2.76223 - 1.17051i) q^{9} +(-0.463682 + 0.485165i) q^{10} +(0.504751 + 0.874254i) q^{11} +(-3.33118 - 0.950381i) q^{12} +(1.85890 + 3.21971i) q^{13} +(2.59704 + 2.69358i) q^{14} +(-0.261041 + 0.779382i) q^{15} +(2.30505 + 3.26906i) q^{16} +(-3.44255 - 1.98756i) q^{17} +(-4.18733 + 0.682864i) q^{18} +(2.31628 - 1.33731i) q^{19} +(0.799616 - 0.511259i) q^{20} +(4.28221 + 1.63178i) q^{21} +(-0.400623 - 1.37029i) q^{22} +(-5.17012 - 2.98497i) q^{23} +(4.25853 + 2.42177i) q^{24} +(2.38740 + 4.13510i) q^{25} +(-1.47542 - 5.04651i) q^{26} +(-4.28497 + 2.93923i) q^{27} +(-2.66585 - 4.57091i) q^{28} +(-1.95387 - 1.12807i) q^{29} +(0.619762 - 0.983389i) q^{30} -8.31357 q^{31} +(-2.07188 - 5.26377i) q^{32} +(-1.15820 - 1.30991i) q^{33} +(4.06407 + 3.88411i) q^{34} +(-1.11207 + 0.582799i) q^{35} +(5.98199 + 0.464572i) q^{36} +(2.20619 - 1.27375i) q^{37} +(-3.63049 + 1.06143i) q^{38} +(-4.26543 - 4.82414i) q^{39} +(-1.26992 + 0.434570i) q^{40} +(-6.80881 + 3.93107i) q^{41} +(-5.33692 - 3.67658i) q^{42} +(-4.40354 + 7.62715i) q^{43} +(0.0913790 + 2.01693i) q^{44} +(0.174357 - 1.41292i) q^{45} +(6.10354 + 5.83328i) q^{46} -8.12915 q^{47} +(-5.03973 - 4.75407i) q^{48} +(2.99318 + 6.32779i) q^{49} +(-1.89489 - 6.48128i) q^{50} +(6.52863 + 2.18666i) q^{51} +(0.336531 + 7.42799i) q^{52} +(-3.74906 - 2.16452i) q^{53} +(6.87205 - 2.60287i) q^{54} +0.479054 q^{55} +(2.13147 + 7.17334i) q^{56} +(-3.47052 + 3.06858i) q^{57} +(2.30662 + 2.20448i) q^{58} +5.95932i q^{59} +(-1.18097 + 1.14351i) q^{60} -14.9608 q^{61} +(11.4225 + 2.78514i) q^{62} +(-7.83119 - 1.29325i) q^{63} +(1.08326 + 7.92632i) q^{64} +1.76427 q^{65} +(1.15249 + 2.18777i) q^{66} +1.22074 q^{67} +(-4.28265 - 6.69813i) q^{68} +(9.80490 + 3.28399i) q^{69} +(1.72318 - 0.428188i) q^{70} +5.11181i q^{71} +(-8.06338 - 2.64233i) q^{72} +(-6.01096 - 3.47043i) q^{73} +(-3.45794 + 1.01098i) q^{74} +(-5.47812 - 6.19569i) q^{75} +(5.34375 - 0.242103i) q^{76} +(0.109163 - 2.66866i) q^{77} +(4.24439 + 8.05715i) q^{78} -16.5628i q^{79} +(1.89040 - 0.171645i) q^{80} +(6.25979 - 6.46645i) q^{81} +(10.6720 - 3.12011i) q^{82} +(7.24984 + 4.18569i) q^{83} +(6.10102 + 6.83941i) q^{84} +(-1.63364 + 0.943185i) q^{85} +(8.60547 - 9.00418i) q^{86} +(3.70542 + 1.24107i) q^{87} +(0.550144 - 2.80180i) q^{88} +(6.53021 - 3.77022i) q^{89} +(-0.712902 + 1.88288i) q^{90} +(0.402028 - 9.82817i) q^{91} +(-6.43182 - 10.0594i) q^{92} +(14.1113 - 2.86651i) q^{93} +(11.1691 + 2.72335i) q^{94} -1.26922i q^{95} +(5.33172 + 8.22026i) q^{96} +(-6.25977 - 3.61408i) q^{97} +(-1.99263 - 9.69688i) q^{98} +(2.41756 + 1.82407i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9}+O(q^{10}) $ 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9	$ 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9} - 8 q^{11} + 12 q^{12} + 10 q^{14} + 14 q^{16} - 18 q^{17} + 8 q^{18} - 6 q^{19} + 36 q^{20} - 16 q^{22} - 12 q^{24} - 78 q^{25} - 6 q^{26} + 16 q^{28} + q^{30} - 26 q^{32} - 36 q^{33} - 12 q^{34} - 12 q^{35} + 2 q^{36} - 27 q^{38} + 24 q^{40} - 42 q^{41} + 22 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} - 9 q^{48} + 2 q^{49} + 15 q^{50} + 9 q^{52} - 51 q^{54} + 14 q^{56} - 26 q^{57} + 19 q^{58} + 37 q^{60} - 8 q^{64} + 24 q^{65} + 6 q^{66} + 28 q^{67} + 12 q^{68} + 27 q^{70} - 28 q^{72} + 18 q^{73} + 49 q^{74} - 18 q^{75} - 12 q^{76} - 33 q^{78} - 63 q^{80} - 22 q^{81} - 54 q^{82} + 6 q^{83} + 31 q^{84} - 13 q^{86} + 29 q^{88} - 66 q^{89} - 51 q^{90} + 2 q^{91} - 60 q^{92} - 45 q^{96} - 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) $ 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9 - 8 * q^11 + 12 * q^12 + 10 * q^14 + 14 * q^16 - 18 * q^17 + 8 * q^18 - 6 * q^19 + 36 * q^20 - 16 * q^22 - 12 * q^24 - 78 * q^25 - 6 * q^26 + 16 * q^28 + q^30 - 26 * q^32 - 36 * q^33 - 12 * q^34 - 12 * q^35 + 2 * q^36 - 27 * q^38 + 24 * q^40 - 42 * q^41 + 22 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 - 9 * q^48 + 2 * q^49 + 15 * q^50 + 9 * q^52 - 51 * q^54 + 14 * q^56 - 26 * q^57 + 19 * q^58 + 37 * q^60 - 8 * q^64 + 24 * q^65 + 6 * q^66 + 28 * q^67 + 12 * q^68 + 27 * q^70 - 28 * q^72 + 18 * q^73 + 49 * q^74 - 18 * q^75 - 12 * q^76 - 33 * q^78 - 63 * q^80 - 22 * q^81 - 54 * q^82 + 6 * q^83 + 31 * q^84 - 13 * q^86 + 29 * q^88 - 66 * q^89 - 51 * q^90 + 2 * q^91 - 60 * q^92 - 45 * q^96 - 6 * q^97 + 31 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−1.37396	−	0.335011i	−0.971537	−	0.236889i
$2$	−1.37396	−	0.335011i	−0.971537	−	0.236889i
$3$	−1.69738	+	0.344799i	−0.979985	+	0.199070i
$3$	−1.69738	+	0.344799i	−0.979985	+	0.199070i
$4$	1.77554	+	0.920584i	0.887768	+	0.460292i
$5$	0.237272	−	0.410968i	0.106111	−	0.183790i	−0.808080	−	0.589072i	$-0.799493\pi$
$5$	0.237272	−	0.410968i	0.106111	−	0.183790i	0.914192	+	0.405282i	$0.132827\pi$
$6$	2.44765	+	0.0949016i	0.999249	+	0.0387434i
$7$	−2.23531	−	1.41542i	−0.844866	−	0.534978i
$7$	−2.23531	−	1.41542i	−0.844866	−	0.534978i
$8$	−2.13111	−	1.85967i	−0.753461	−	0.657492i
$9$	2.76223	−	1.17051i	0.920742	−	0.390171i
$10$	−0.463682	+	0.485165i	−0.146629	+	0.153423i
$11$	0.504751	+	0.874254i	0.152188	+	0.263598i	0.932032	−	0.362377i	$-0.118035\pi$
$11$	0.504751	+	0.874254i	0.152188	+	0.263598i	−0.779843	+	0.625975i	$0.784701\pi$
$12$	−3.33118	−	0.950381i	−0.961630	−	0.274351i
$13$	1.85890	+	3.21971i	0.515567	+	0.892988i	0.999837	+	0.0180692i	$0.00575191\pi$
$13$	1.85890	+	3.21971i	0.515567	+	0.892988i	−0.484270	+	0.874919i	$0.660915\pi$
$14$	2.59704	+	2.69358i	0.694088	+	0.719890i
$15$	−0.261041	+	0.779382i	−0.0674005	+	0.201236i
$16$	2.30505	+	3.26906i	0.576263	+	0.817264i
$17$	−3.44255	−	1.98756i	−0.834940	−	0.482053i	0.0206008	−	0.999788i	$-0.493442\pi$
$17$	−3.44255	−	1.98756i	−0.834940	−	0.482053i	−0.855541	+	0.517735i	$0.826775\pi$
$18$	−4.18733	+	0.682864i	−0.986962	+	0.160953i
$19$	2.31628	−	1.33731i	0.531392	−	0.306799i	−0.210191	−	0.977660i	$-0.567409\pi$
$19$	2.31628	−	1.33731i	0.531392	−	0.306799i	0.741583	+	0.670861i	$0.234075\pi$
$20$	0.799616	−	0.511259i	0.178800	−	0.114321i
$21$	4.28221	+	1.63178i	0.934454	+	0.356083i
$22$	−0.400623	−	1.37029i	−0.0854131	−	0.292146i
$23$	−5.17012	−	2.98497i	−1.07804	−	0.622409i	−0.147676	−	0.989036i	$-0.547179\pi$
$23$	−5.17012	−	2.98497i	−1.07804	−	0.622409i	−0.930368	+	0.366626i	$0.880513\pi$
$24$	4.25853	+	2.42177i	0.869268	+	0.494341i
$25$	2.38740	+	4.13510i	0.477481	+	0.827021i
$26$	−1.47542	−	5.04651i	−0.289354	−	0.989702i
$27$	−4.28497	+	2.93923i	−0.824643	+	0.565654i
$28$	−2.66585	−	4.57091i	−0.503799	−	0.863821i
$29$	−1.95387	−	1.12807i	−0.362824	−	0.209477i	0.307495	−	0.951550i	$-0.400509\pi$
$29$	−1.95387	−	1.12807i	−0.362824	−	0.209477i	−0.670319	+	0.742073i	$0.733843\pi$
$30$	0.619762	−	0.983389i	0.113152	−	0.179541i
$31$	−8.31357			−1.49316			−0.746581	−	0.665295i	$-0.768306\pi$
$31$	−8.31357			−1.49316			−0.746581	+	0.665295i	$0.768306\pi$
$32$	−2.07188	−	5.26377i	−0.366260	−	0.930513i
$33$	−1.15820	−	1.30991i	−0.201617	−	0.228026i
$34$	4.06407	+	3.88411i	0.696983	+	0.666120i
$35$	−1.11207	+	0.582799i	−0.187974	+	0.0985110i
$36$	5.98199	+	0.464572i	0.996998	+	0.0774287i
$37$	2.20619	−	1.27375i	0.362696	−	0.209403i	−0.307567	−	0.951527i	$-0.599515\pi$
$37$	2.20619	−	1.27375i	0.362696	−	0.209403i	0.670263	+	0.742124i	$0.266181\pi$
$38$	−3.63049	+	1.06143i	−0.588944	+	0.172186i
$39$	−4.26543	−	4.82414i	−0.683015	−	0.772481i
$40$	−1.26992	+	0.434570i	−0.200792	+	0.0687115i
$41$	−6.80881	+	3.93107i	−1.06336	+	0.613930i	−0.926359	−	0.376642i	$-0.877079\pi$
$41$	−6.80881	+	3.93107i	−1.06336	+	0.613930i	−0.136998	+	0.990571i	$0.543745\pi$
$42$	−5.33692	−	3.67658i	−0.823505	−	0.567309i
$43$	−4.40354	+	7.62715i	−0.671534	+	1.16313i	0.305936	+	0.952052i	$0.401031\pi$
$43$	−4.40354	+	7.62715i	−0.671534	+	1.16313i	−0.977469	+	0.211078i	$0.932303\pi$
$44$	0.0913790	+	2.01693i	0.0137759	+	0.304064i
$45$	0.174357	−	1.41292i	0.0259916	−	0.210625i
$46$	6.10354	+	5.83328i	0.899918	+	0.860070i
$47$	−8.12915			−1.18576			−0.592879	−	0.805291i	$-0.702009\pi$
$47$	−8.12915			−1.18576			−0.592879	+	0.805291i	$0.702009\pi$
$48$	−5.03973	−	4.75407i	−0.727422	−	0.686190i
$49$	2.99318	+	6.32779i	0.427597	+	0.903969i
$50$	−1.89489	−	6.48128i	−0.267978	−	0.916591i
$51$	6.52863	+	2.18666i	0.914192	+	0.306193i
$52$	0.336531	+	7.42799i	0.0466685	+	1.03008i
$53$	−3.74906	−	2.16452i	−0.514973	−	0.297320i	0.219902	−	0.975522i	$-0.429426\pi$
$53$	−3.74906	−	2.16452i	−0.514973	−	0.297320i	−0.734876	+	0.678202i	$0.762759\pi$
$54$	6.87205	−	2.60287i	0.935168	−	0.354206i
$55$	0.479054			0.0645956
$56$	2.13147	+	7.17334i	0.284830	+	0.958578i
$57$	−3.47052	+	3.06858i	−0.459682	+	0.406443i
$58$	2.30662	+	2.20448i	0.302874	+	0.289463i
$59$			5.95932i			0.775838i	0.921693	+	0.387919i	$0.126806\pi$
$59$			5.95932i			0.775838i	−0.921693	+	0.387919i	$0.873194\pi$
$60$	−1.18097	+	1.14351i	−0.152463	+	0.147627i
$61$	−14.9608			−1.91554			−0.957770	−	0.287535i	$-0.907164\pi$
$61$	−14.9608			−1.91554			−0.957770	+	0.287535i	$0.907164\pi$
$62$	11.4225	+	2.78514i	1.45066	+	0.353713i
$63$	−7.83119	−	1.29325i	−0.986637	−	0.162934i
$64$	1.08326	+	7.92632i	0.135407	+	0.990790i
$65$	1.76427			0.218830
$66$	1.15249	+	2.18777i	0.141861	+	0.269296i
$67$	1.22074			0.149138			0.0745688	−	0.997216i	$-0.476242\pi$
$67$	1.22074			0.149138			0.0745688	+	0.997216i	$0.476242\pi$
$68$	−4.28265	−	6.69813i	−0.519348	−	0.812267i
$69$	9.80490	+	3.28399i	1.18037	+	0.395346i
$70$	1.72318	−	0.428188i	0.205960	−	0.0511782i
$71$			5.11181i			0.606661i	0.952885	+	0.303330i	$0.0980985\pi$
$71$			5.11181i			0.606661i	−0.952885	+	0.303330i	$0.901901\pi$
$72$	−8.06338	−	2.64233i	−0.950278	−	0.311402i
$73$	−6.01096	−	3.47043i	−0.703529	−	0.406183i	0.105131	−	0.994458i	$-0.466474\pi$
$73$	−6.01096	−	3.47043i	−0.703529	−	0.406183i	−0.808661	+	0.588276i	$0.799807\pi$
$74$	−3.45794	+	1.01098i	−0.401978	+	0.117524i
$75$	−5.47812	−	6.19569i	−0.632559	−	0.715416i
$76$	5.34375	−	0.242103i	0.612970	−	0.0277711i
$77$	0.109163	−	2.66866i	0.0124403	−	0.304122i
$78$	4.24439	+	8.05715i	0.480582	+	0.912292i
$79$		−	16.5628i		−	1.86346i	−0.363157	−	0.931728i	$-0.618301\pi$
$79$		−	16.5628i		−	1.86346i	0.363157	−	0.931728i	$-0.381699\pi$
$80$	1.89040	−	0.171645i	0.211354	−	0.0191905i
$81$	6.25979	−	6.46645i	0.695533	−	0.718494i
$82$	10.6720	−	3.12011i	1.17852	−	0.344558i
$83$	7.24984	+	4.18569i	0.795773	+	0.459440i	0.841991	−	0.539492i	$-0.181384\pi$
$83$	7.24984	+	4.18569i	0.795773	+	0.459440i	−0.0462181	+	0.998931i	$0.514717\pi$
$84$	6.10102	+	6.83941i	0.665676	+	0.746241i
$85$	−1.63364	+	0.943185i	−0.177194	+	0.102303i
$86$	8.60547	−	9.00418i	0.927952	−	0.970945i
$87$	3.70542	+	1.24107i	0.397263	+	0.133057i
$88$	0.550144	−	2.80180i	0.0586456	−	0.298673i
$89$	6.53021	−	3.77022i	0.692201	−	0.399642i	−0.112235	−	0.993682i	$-0.535801\pi$
$89$	6.53021	−	3.77022i	0.692201	−	0.399642i	0.804436	+	0.594039i	$0.202468\pi$
$90$	−0.712902	+	1.88288i	−0.0751465	+	0.198473i
$91$	0.402028	−	9.82817i	0.0421440	−	1.03027i
$92$	−6.43182	−	10.0594i	−0.670563	−	1.04877i
$93$	14.1113	−	2.86651i	1.46328	−	0.297244i
$94$	11.1691	+	2.72335i	1.15201	+	0.280893i
$95$		−	1.26922i		−	0.130220i
$96$	5.33172	+	8.22026i	0.544167	+	0.838977i
$97$	−6.25977	−	3.61408i	−0.635583	−	0.366954i	0.147328	−	0.989088i	$-0.452933\pi$
$97$	−6.25977	−	3.61408i	−0.635583	−	0.366954i	−0.782911	+	0.622133i	$0.786266\pi$
$98$	−1.99263	−	9.69688i	−0.201286	−	0.979532i
$99$	2.41756	+	1.82407i	0.242974	+	0.183326i
$100$	0.432210	+	9.53983i	0.0432210	+	0.953983i
$101$	4.55228	+	7.88477i	0.452968	+	0.784564i	0.998569	−	0.0534812i	$-0.0170317\pi$
$101$	4.55228	+	7.88477i	0.452968	+	0.784564i	−0.545601	+	0.838045i	$0.683698\pi$
$102$	−8.23753	−	5.19155i	−0.815637	−	0.514040i
$103$	−0.732621	+	1.26894i	−0.0721873	+	0.125032i	−0.899860	−	0.436180i	$-0.856331\pi$
$103$	−0.732621	+	1.26894i	−0.0721873	+	0.125032i	0.827672	+	0.561212i	$0.189665\pi$
$104$	2.02608	−	10.3185i	0.198673	−	1.01181i
$105$	1.68666	−	1.37267i	0.164601	−	0.133959i
$106$	4.42592	+	4.22994i	0.429884	+	0.410848i
$107$	0.427612	+	0.740645i	0.0413388	+	0.0716009i	0.885955	−	0.463772i	$-0.153504\pi$
$107$	0.427612	+	0.740645i	0.0413388	+	0.0716009i	−0.844616	+	0.535373i	$0.820171\pi$
$108$	−10.3139	+	1.27403i	−0.992457	+	0.122593i
$109$	10.4223	+	6.01731i	0.998275	+	0.576354i	0.907737	−	0.419539i	$-0.137808\pi$
$109$	10.4223	+	6.01731i	0.998275	+	0.576354i	0.0905374	+	0.995893i	$0.471142\pi$
$110$	−0.658201	−	0.160488i	−0.0627570	−	0.0153020i
$111$	−3.30557	+	2.92273i	−0.313751	+	0.277413i
$112$	−0.525409	−	10.5700i	−0.0496465	−	0.998767i
$113$	−0.353050	−	0.611500i	−0.0332121	−	0.0575251i	0.848942	−	0.528487i	$-0.177240\pi$
$113$	−0.353050	−	0.611500i	−0.0332121	−	0.0575251i	−0.882154	+	0.470962i	$0.843907\pi$
$114$	5.79637	−	3.05344i	0.542879	−	0.285981i
$115$	−2.45345	+	1.41650i	−0.228786	+	0.132090i
$116$	−2.43068	−	3.80162i	−0.225683	−	0.352971i
$117$	8.90343	+	6.71771i	0.823122	+	0.621052i
$118$	1.99644	−	8.18788i	0.183787	−	0.753755i
$119$	4.88192	+	9.31544i	0.447525	+	0.853945i
$120$	2.00570	−	1.17550i	0.183095	−	0.107308i
$121$	4.99045	−	8.64372i	0.453678	−	0.785793i
$122$	20.5556	+	5.01205i	1.86102	+	0.453770i
$123$	10.2017	−	9.02020i	0.919860	−	0.813324i
$124$	−14.7610	−	7.65334i	−1.32558	−	0.687290i
$125$	4.63859			0.414888
$126$	10.3265	+	4.40041i	0.919957	+	0.392020i
$127$			2.76083i			0.244984i	0.992470	+	0.122492i	$0.0390886\pi$
$127$			2.76083i			0.244984i	−0.992470	+	0.122492i	$0.960911\pi$
$128$	1.16705	−	11.2534i	0.103153	−	0.994665i
$129$	4.84466	−	14.4645i	0.426549	−	1.27353i
$130$	−2.42403	−	0.591048i	−0.212602	−	0.0518384i
$131$	−9.48813	−	5.47798i	−0.828982	−	0.478613i	0.0245220	−	0.999699i	$-0.492194\pi$
$131$	−9.48813	−	5.47798i	−0.828982	−	0.478613i	−0.853504	+	0.521086i	$0.825527\pi$
$132$	−0.850543	−	3.39201i	−0.0740303	−	0.295236i
$133$	−7.07045	−	0.289222i	−0.613086	−	0.0250787i
$134$	−1.67725	−	0.408963i	−0.144893	−	0.0353290i
$135$	0.191223	+	2.45838i	0.0164578	+	0.211584i
$136$	3.64025	+	10.6377i	0.312149	+	0.912175i
$137$	5.24170	+	9.07889i	0.447829	+	0.775662i	0.998244	−	0.0592288i	$-0.0188642\pi$
$137$	5.24170	+	9.07889i	0.447829	+	0.775662i	−0.550416	+	0.834891i	$0.685531\pi$
$138$	−12.3714	−	7.79682i	−1.05312	−	0.663709i
$139$	−13.7204	+	7.92146i	−1.16375	+	0.671890i	−0.952199	−	0.305478i	$-0.901184\pi$
$139$	−13.7204	+	7.92146i	−1.16375	+	0.671890i	−0.211548	+	0.977368i	$0.567850\pi$
$140$	−2.51103	+	0.0110285i	−0.212221	+	0.000932075i
$141$	13.7983	−	2.80293i	1.16203	−	0.236049i
$142$	1.71251	−	7.02343i	0.143711	−	0.589393i
$143$	−1.87657	+	3.25031i	−0.156926	+	0.271804i
$144$	10.1936	+	6.33178i	0.849463	+	0.527649i
$145$	−0.927198	+	0.535318i	−0.0769996	+	0.0444557i
$146$	7.09619	+	6.78197i	0.587285	+	0.561280i
$147$	−7.26239	−	9.70864i	−0.598992	−	0.800755i
$148$	5.08976	−	0.230596i	0.418376	−	0.0189549i
$149$	−17.6611	−	10.1966i	−1.44685	−	0.835342i	−0.448562	−	0.893752i	$-0.648064\pi$
$149$	−17.6611	−	10.1966i	−1.44685	−	0.835342i	−0.998293	+	0.0584101i	$0.981397\pi$
$150$	5.45110	+	10.3479i	0.445081	+	0.844899i
$151$	8.76555	−	5.06079i	0.713330	−	0.411841i	−0.0989625	−	0.995091i	$-0.531552\pi$
$151$	8.76555	−	5.06079i	0.713330	−	0.411841i	0.812293	+	0.583250i	$0.198219\pi$
$152$	−7.42320	−	1.45757i	−0.602101	−	0.118225i
$153$	−11.8356	−	1.46053i	−0.956848	−	0.118077i
$154$	−1.04402	+	3.63006i	−0.0841292	+	0.292519i
$155$	−1.97258	+	3.41661i	−0.158442	+	0.274429i
$156$	−3.13239	−	12.4921i	−0.250792	−	1.00017i
$157$	4.24943			0.339142			0.169571	−	0.985518i	$-0.445762\pi$
$157$	4.24943			0.339142			0.169571	+	0.985518i	$0.445762\pi$
$158$	−5.54871	+	22.7566i	−0.441431	+	1.81042i
$159$	7.10992	+	2.38135i	0.563854	+	0.188853i
$160$	−2.65484	−	0.397472i	−0.209884	−	0.0314229i
$161$	7.33181	+	13.9902i	0.577828	+	1.10258i
$162$	−10.7670	+	6.78755i	−0.845939	+	0.533280i
$163$	7.23257	+	12.5272i	0.566499	+	0.981205i	0.996909	+	0.0785712i	$0.0250358\pi$
$163$	7.23257	+	12.5272i	0.566499	+	0.981205i	−0.430410	+	0.902634i	$0.641631\pi$
$164$	−15.7082	+	0.711672i	−1.22660	+	0.0555722i
$165$	−0.813139	+	0.165178i	−0.0633028	+	0.0128591i
$166$	−8.55873	−	8.17975i	−0.664287	−	0.634872i
$167$	5.67732	+	9.83340i	0.439324	+	0.760931i	0.997637	−	0.0686986i	$-0.0218847\pi$
$167$	5.67732	+	9.83340i	0.439324	+	0.760931i	−0.558313	+	0.829630i	$0.688551\pi$
$168$	−6.09129	−	11.4410i	−0.469953	−	0.882691i
$169$	−0.411036	+	0.711935i	−0.0316181	+	0.0547642i
$170$	2.56054	−	0.748610i	0.196384	−	0.0574158i
$171$	4.83276	−	6.40519i	0.369571	−	0.489817i
$172$	−14.8401	+	9.48846i	−1.13155	+	0.723488i
$173$	1.60404			0.121953			0.0609763	−	0.998139i	$-0.480579\pi$
$173$	1.60404			0.121953			0.0609763	+	0.998139i	$0.480579\pi$
$174$	−4.67533	−	2.94654i	−0.354436	−	0.223376i
$175$	0.516328	−	12.6224i	0.0390307	−	0.954163i
$176$	−1.69451	+	3.66526i	−0.127729	+	0.276279i
$177$	−2.05477	−	10.1153i	−0.154446	−	0.760310i
$178$	−10.2353	+	2.99244i	−0.767169	+	0.224293i
$179$	9.95629	−	17.2448i	0.744168	−	1.28894i	−0.206414	−	0.978465i	$-0.566179\pi$
$179$	9.95629	−	17.2448i	0.744168	−	1.28894i	0.950582	−	0.310473i	$-0.100487\pi$
$180$	1.61029	−	2.34818i	0.120024	−	0.175023i
$181$	−13.1402			−0.976702			−0.488351	−	0.872647i	$-0.662401\pi$
$181$	−13.1402			−0.976702			−0.488351	+	0.872647i	$0.662401\pi$
$182$	−3.84491	+	13.3688i	−0.285004	+	0.990964i
$183$	25.3943	−	5.15849i	1.87720	−	0.381327i
$184$	5.46704	+	15.9760i	0.403035	+	1.17777i
$185$		−	1.20890i		−	0.0888801i
$186$	−20.3487	−	0.788971i	−1.49204	−	0.0578502i
$187$		−	4.01288i		−	0.293451i
$188$	−14.4336	−	7.48356i	−1.05268	−	0.545795i
$189$	13.7384	−	0.505043i	0.999325	−	0.0367365i
$190$	−0.425204	+	1.74386i	−0.0308475	+	0.126513i
$191$			23.8198i			1.72354i	0.507301	+	0.861769i	$0.330643\pi$
$191$			23.8198i			1.72354i	−0.507301	+	0.861769i	$0.669357\pi$
$192$	−4.57170	−	13.0805i	−0.329934	−	0.944004i
$193$	−3.65054			−0.262772			−0.131386	−	0.991331i	$-0.541943\pi$
$193$	−3.65054			−0.262772			−0.131386	+	0.991331i	$0.541943\pi$
$194$	7.38992	+	7.06270i	0.530565	+	0.507072i
$195$	−2.99464	+	0.608318i	−0.214450	+	0.0435625i
$196$	−0.510760	+	13.9907i	−0.0364828	+	0.999334i
$197$			8.80206i			0.627121i	0.949568	+	0.313560i	$0.101522\pi$
$197$			8.80206i			0.627121i	−0.949568	+	0.313560i	$0.898478\pi$
$198$	−2.71055	−	3.31611i	−0.192631	−	0.235666i
$199$	−0.630651	+	1.09232i	−0.0447057	+	0.0774325i	−0.887512	−	0.460784i	$-0.847568\pi$
$199$	−0.630651	+	1.09232i	−0.0447057	+	0.0774325i	0.842807	+	0.538216i	$0.180902\pi$
$200$	2.60211	−	13.2521i	0.183997	−	0.937068i
$201$	−2.07207	+	0.420912i	−0.146153	+	0.0296888i
$202$	−3.61316	−	12.3584i	−0.254221	−	0.869536i
$203$	2.77080	+	5.28711i	0.194472	+	0.371082i
$204$	9.57882	+	9.89264i	0.670652	+	0.692624i
$205$			3.73094i			0.260580i
$206$	1.43170	−	1.49803i	0.0997513	−	0.104373i
$207$	−17.7750	−	2.19347i	−1.23545	−	0.152457i
$208$	−6.24056	+	13.4985i	−0.432705	+	0.935950i
$209$	2.33829	+	1.35001i	0.161743	+	0.0933824i
$210$	−2.77726	+	1.32095i	−0.191649	+	0.0911543i
$211$	−1.87111	−	3.24085i	−0.128812	−	0.223109i	0.794404	−	0.607389i	$-0.207783\pi$
$211$	−1.87111	−	3.24085i	−0.128812	−	0.223109i	−0.923217	+	0.384280i	$0.874450\pi$
$212$	−4.66397	−	7.29451i	−0.320323	−	0.500989i
$213$	−1.76255	−	8.67671i	−0.120768	−	0.594518i
$214$	−0.339397	−	1.16087i	−0.0232007	−	0.0793556i
$215$	2.08968	+	3.61943i	0.142515	+	0.246843i
$216$	14.5977	+	1.70481i	0.993249	+	0.115998i
$217$	18.5834	+	11.7672i	1.26152	+	0.798808i
$218$	−12.3040	−	11.7591i	−0.833329	−	0.796429i
$219$	11.3995	+	3.81808i	0.770307	+	0.258002i
$220$	0.850577	+	0.441009i	0.0573459	+	0.0297328i
$221$		−	14.7787i		−	0.994122i
$222$	5.52087	−	2.90831i	0.370537	−	0.195193i
$223$	13.9219	−	24.1134i	0.932280	−	1.61476i	0.152865	−	0.988247i	$-0.451150\pi$
$223$	13.9219	−	24.1134i	0.932280	−	1.61476i	0.779415	−	0.626509i	$-0.215517\pi$
$224$	−2.81916	+	14.6987i	−0.188363	+	0.982099i
$225$	11.4347	+	8.62761i	0.762316	+	0.575174i
$226$	0.280217	+	0.958452i	0.0186398	+	0.0637553i
$227$	9.72357	−	5.61390i	0.645376	−	0.372608i	−0.141307	−	0.989966i	$-0.545130\pi$
$227$	9.72357	−	5.61390i	0.645376	−	0.372608i	0.786682	+	0.617358i	$0.211797\pi$
$228$	−8.98691	+	2.25346i	−0.595173	+	0.149239i
$229$	5.67786	−	9.83434i	0.375203	−	0.649871i	−0.615154	−	0.788407i	$-0.710906\pi$
$229$	5.67786	−	9.83434i	0.375203	−	0.649871i	0.990357	+	0.138536i	$0.0442395\pi$
$230$	3.84549	−	1.12428i	0.253564	−	0.0741331i
$231$	0.734860	+	4.56738i	0.0483502	+	0.300512i
$232$	2.06608	+	6.03758i	0.135645	+	0.396387i
$233$	−6.49027	−	11.2415i	−0.425191	−	0.736453i	0.571247	−	0.820778i	$-0.306460\pi$
$233$	−6.49027	−	11.2415i	−0.425191	−	0.736453i	−0.996438	+	0.0843251i	$0.973127\pi$
$234$	−9.98245	−	12.2126i	−0.652573	−	0.798363i
$235$	−1.92882	+	3.34082i	−0.125823	+	0.217931i
$236$	−5.48606	+	10.5810i	−0.357112	+	0.688764i
$237$	5.71083	+	28.1134i	0.370958	+	1.82616i
$238$	−3.58679	−	14.4345i	−0.232497	−	0.935653i
$239$	−13.9267	+	8.04060i	−0.900845	+	0.520103i	−0.877474	−	0.479624i	$-0.840773\pi$
$239$	−13.9267	+	8.04060i	−0.900845	+	0.520103i	−0.0233705	+	0.999727i	$0.507440\pi$
$240$	−3.14956	+	0.943157i	−0.203303	+	0.0608805i
$241$	−9.25522	+	5.34350i	−0.596181	+	0.344205i	−0.767538	−	0.641004i	$-0.778518\pi$
$241$	−9.25522	+	5.34350i	−0.596181	+	0.344205i	0.171357	+	0.985209i	$0.445185\pi$
$242$	−9.75243	+	10.2043i	−0.626910	+	0.655955i
$243$	−8.39565	+	13.1344i	−0.538581	+	0.842574i
$244$	−26.5635	−	13.7727i	−1.70055	−	0.881708i
$245$	3.31072	+	0.271308i	0.211514	+	0.0173333i
$246$	−17.0386	+	8.97571i	−1.08634	+	0.572271i
$247$	8.61149	+	4.97185i	0.547936	+	0.316351i
$248$	17.7171	+	15.4605i	1.12504	+	0.981742i
$249$	−13.7490	−	4.60499i	−0.871306	−	0.291830i
$250$	−6.37323	−	1.55398i	−0.403079	−	0.0982821i
$251$			14.2727i			0.900886i	0.892805	+	0.450443i	$0.148734\pi$
$251$			14.2727i			0.900886i	−0.892805	+	0.450443i	$0.851266\pi$
$252$	−12.7140	−	9.50548i	−0.800907	−	0.598789i
$253$		−	6.02667i		−	0.378893i
$254$	0.924907	−	3.79327i	0.0580339	−	0.238011i
$255$	2.44771	−	2.16423i	0.153282	−	0.135529i
$256$	−5.37347	+	15.0707i	−0.335842	+	0.941918i
$257$	−10.0727	−	5.81547i	−0.628317	−	0.362759i	0.151783	−	0.988414i	$-0.451498\pi$
$257$	−10.0727	−	5.81547i	−0.628317	−	0.362759i	−0.780100	+	0.625655i	$0.784832\pi$
$258$	−11.5022	+	18.2507i	−0.716093	+	1.13624i
$259$	−6.73440	−	0.275475i	−0.418455	−	0.0171172i
$260$	3.13252	+	1.62415i	0.194270	+	0.100726i
$261$	−6.71744	−	0.828945i	−0.415799	−	0.0513104i
$262$	11.2011	+	10.7052i	0.692009	+	0.661366i
$263$	−2.67486	+	1.54433i	−0.164939	+	0.0952274i	−0.580197	−	0.814476i	$-0.697024\pi$
$263$	−2.67486	+	1.54433i	−0.164939	+	0.0952274i	0.415258	+	0.909703i	$0.363691\pi$
$264$	0.0322534	+	4.94542i	0.00198506	+	0.304370i
$265$	−1.77910	+	1.02716i	−0.109289	+	0.0630981i
$266$	9.61763	+	2.76606i	0.589695	+	0.169598i
$267$	−9.78430	+	8.65112i	−0.598790	+	0.529440i
$268$	2.16747	+	1.12380i	0.132400	+	0.0686468i
$269$	−4.11956	+	7.13529i	−0.251174	+	0.435047i	−0.963849	−	0.266448i	$-0.914150\pi$
$269$	−4.11956	+	7.13529i	−0.251174	+	0.435047i	0.712675	+	0.701494i	$0.247483\pi$
$270$	0.560852	−	3.44178i	0.0341324	−	0.209460i
$271$	−2.31430	−	4.00848i	−0.140583	−	0.243498i	0.787133	−	0.616783i	$-0.211565\pi$
$271$	−2.31430	−	4.00848i	−0.140583	−	0.243498i	−0.927716	+	0.373286i	$0.878231\pi$
$272$	−1.43782	−	15.8353i	−0.0871804	−	0.960156i
$273$	2.70635	+	16.8208i	0.163796	+	1.01804i
$274$	−4.16036	−	14.2301i	−0.251337	−	0.859669i
$275$	−2.41009	+	4.17440i	−0.145334	+	0.251726i
$276$	14.3858	+	14.8571i	0.865921	+	0.894290i
$277$	−16.0458	+	9.26407i	−0.964101	+	0.556624i	−0.897433	−	0.441151i	$-0.854570\pi$
$277$	−16.0458	+	9.26407i	−0.964101	+	0.556624i	−0.0666685	+	0.997775i	$0.521237\pi$
$278$	21.5050	−	6.28730i	1.28979	−	0.377087i
$279$	−22.9640	+	9.73115i	−1.37482	+	0.582589i
$280$	3.45375	+	0.826070i	0.206401	+	0.0493671i
$281$	9.98637	−	17.2969i	0.595737	−	1.03185i	−0.397705	−	0.917513i	$-0.630193\pi$
$281$	9.98637	−	17.2969i	0.595737	−	1.03185i	0.993442	−	0.114334i	$-0.0364733\pi$
$282$	−19.8973	−	0.771470i	−1.18487	−	0.0459404i
$283$		−	23.6513i		−	1.40592i	−0.711229	−	0.702961i	$-0.751861\pi$
$283$		−	23.6513i		−	1.40592i	0.711229	−	0.702961i	$-0.248139\pi$
$284$	−4.70585	+	9.07620i	−0.279241	+	0.538574i
$285$	0.437628	+	2.15436i	0.0259228	+	0.127613i
$286$	3.66722	−	3.83712i	0.216847	−	0.226894i
$287$	20.7839	+	0.850179i	1.22683	+	0.0501845i
$288$	−11.8843	−	12.1146i	−0.700290	−	0.713858i
$289$	−0.599243	−	1.03792i	−0.0352496	−	0.0610541i
$290$	1.45327	−	0.424884i	0.0853390	−	0.0249501i
$291$	11.8714	+	3.97612i	0.695912	+	0.233084i
$292$	−7.47785	−	11.6955i	−0.437608	−	0.684425i
$293$	−13.3193	−	23.0697i	−0.778123	−	1.34775i	−0.933023	−	0.359818i	$-0.882839\pi$
$293$	−13.3193	−	23.0697i	−0.778123	−	1.34775i	0.154900	−	0.987930i	$-0.450494\pi$
$294$	6.72574	+	15.7723i	0.392253	+	0.919857i
$295$	2.44909	+	1.41398i	0.142592	+	0.0823253i
$296$	−7.07039	−	1.38830i	−0.410958	−	0.0806931i
$297$	−4.73247	−	2.26257i	−0.274606	−	0.131288i
$298$	20.8497	+	19.9265i	1.20779	+	1.15431i
$299$		−	22.1951i		−	1.28357i
$300$	−4.02295	−	16.0437i	−0.232265	−	0.926285i
$301$	20.6389	−	10.8162i	1.18960	−	0.623433i
$302$	−13.7389	+	4.01677i	−0.790587	+	0.231139i
$303$	−10.4456	−	11.8139i	−0.600085	−	0.678689i
$304$	9.71089	+	4.48950i	0.556957	+	0.257491i
$305$	−3.54980	+	6.14843i	−0.203261	+	0.352058i
$306$	15.7723	+	5.97175i	0.901642	+	0.341382i
$307$		−	5.92335i		−	0.338064i	−0.985611	−	0.169032i	$-0.945936\pi$
$307$		−	5.92335i		−	0.338064i	0.985611	−	0.169032i	$-0.0540640\pi$
$308$	2.65055	−	4.63780i	0.151029	−	0.264263i
$309$	0.806011	−	2.40648i	0.0458523	−	0.136900i
$310$	3.85485	−	4.03345i	0.218941	−	0.229085i
$311$	14.1411			0.801868			0.400934	−	0.916107i	$-0.368686\pi$
$311$	14.1411			0.801868			0.400934	+	0.916107i	$0.368686\pi$
$312$	0.118783	+	18.2131i	0.00672477	+	1.03111i
$313$			13.7573i			0.777610i	0.921320	+	0.388805i	$0.127112\pi$
$313$			13.7573i			0.777610i	−0.921320	+	0.388805i	$0.872888\pi$
$314$	−5.83855	−	1.42361i	−0.329489	−	0.0803387i
$315$	−2.38961	+	2.91151i	−0.134639	+	0.164045i
$316$	15.2474	−	29.4078i	0.857734	−	1.65432i
$317$			20.8851i			1.17303i	0.809940	+	0.586513i	$0.199500\pi$
$317$			20.8851i			1.17303i	−0.809940	+	0.586513i	$0.800500\pi$
$318$	−8.97098	−	5.65379i	−0.503067	−	0.317049i
$319$		−	2.27757i		−	0.127519i
$320$	3.51449	+	1.43551i	0.196466	+	0.0802476i
$321$	−0.981196	−	1.10972i	−0.0547650	−	0.0619385i
$322$	−5.38675	−	21.6782i	−0.300192	−	1.20808i
$323$	−10.6319			−0.591574
$324$	17.0674	−	5.71875i	0.948189	−	0.317708i
$325$	−8.87590	+	15.3735i	−0.492346	+	0.852769i
$326$	−5.74053	−	19.6349i	−0.317938	−	1.08747i
$327$	−19.7654	−	6.62010i	−1.09303	−	0.366092i
$328$	21.8208	+	4.28460i	1.20485	+	0.236577i
$329$	18.1711	+	11.5062i	1.00181	+	0.634355i
$330$	1.17256	+	0.0454630i	0.0645471	+	0.00250266i
$331$	−0.907627			−0.0498877			−0.0249438	−	0.999689i	$-0.507941\pi$
$331$	−0.907627			−0.0498877			−0.0249438	+	0.999689i	$0.507941\pi$
$332$	9.01906	+	14.1059i	0.494985	+	0.774163i
$333$	4.60307	−	6.10076i	0.252247	−	0.334319i
$334$	−4.50611	−	15.4127i	−0.246564	−	0.843344i
$335$	0.289649	−	0.501687i	0.0158252	−	0.0274101i
$336$	4.53633	+	17.7601i	0.247477	+	0.968894i
$337$	−16.2446	−	28.1364i	−0.884899	−	1.53269i	−0.845830	−	0.533453i	$-0.820894\pi$
$337$	−16.2446	−	28.1364i	−0.884899	−	1.53269i	−0.0390689	−	0.999237i	$-0.512439\pi$
$338$	0.803253	−	0.840469i	0.0436912	−	0.0457155i
$339$	0.810105	+	0.916219i	0.0439989	+	0.0497622i
$340$	−3.76887	+	0.170752i	−0.204396	+	0.00926033i
$341$	−4.19628	−	7.26817i	−0.227241	−	0.393594i
$342$	−8.78583	+	7.18145i	−0.475084	+	0.388328i
$343$	2.26580	−	18.3811i	0.122342	−	0.992488i
$344$	23.5684	−	8.06518i	1.27072	−	0.434845i
$345$	3.67605	−	3.25030i	0.197912	−	0.174990i
$346$	−2.20388	−	0.537369i	−0.118481	−	0.0288892i
$347$	36.3831			1.95315			0.976575	−	0.215178i	$-0.0690332\pi$
$347$	36.3831			1.95315			0.976575	+	0.215178i	$0.0690332\pi$
$348$	5.43660	+	5.61471i	0.291432	+	0.300980i
$349$	−13.4287	+	23.2592i	−0.718823	+	1.24504i	0.242644	+	0.970115i	$0.421985\pi$
$349$	−13.4287	+	23.2592i	−0.718823	+	1.24504i	−0.961467	+	0.274922i	$0.911348\pi$
$350$	−4.93806	+	17.1697i	−0.263950	+	0.917759i
$351$	−17.4288	−	8.33264i	−0.930281	−	0.444763i
$352$	3.55609	−	4.46824i	0.189540	−	0.238158i
$353$	−17.3255	+	10.0029i	−0.922146	+	0.532401i	−0.884319	−	0.466883i	$-0.845377\pi$
$353$	−17.3255	+	10.0029i	−0.922146	+	0.532401i	−0.0378268	+	0.999284i	$0.512044\pi$
$354$	−0.565550	+	14.5863i	−0.0300586	+	0.775255i
$355$	2.10079	+	1.21289i	0.111498	+	0.0643737i
$356$	15.0654	−	0.682552i	0.798465	−	0.0361752i
$357$	−11.4985	−	14.1286i	−0.608563	−	0.747765i
$358$	−19.4568	+	20.3582i	−1.02832	+	1.07597i
$359$	23.5870	−	13.6179i	1.24487	−	0.718728i	0.274790	−	0.961504i	$-0.411392\pi$
$359$	23.5870	−	13.6179i	1.24487	−	0.718728i	0.970082	+	0.242777i	$0.0780582\pi$
$360$	−2.99913	+	2.68684i	−0.158068	+	0.141609i
$361$	−5.92322	+	10.2593i	−0.311748	+	0.539964i
$362$	18.0541	+	4.40210i	0.948902	+	0.231369i
$363$	−5.49037	+	16.3924i	−0.288170	+	0.860379i
$364$	9.76147	−	17.0802i	0.511640	−	0.895244i
$365$	−2.85247	+	1.64687i	−0.149305	+	0.0862013i
$366$	−36.6189	−	1.41981i	−1.91410	−	0.0742146i
$367$	−4.30825	−	7.46212i	−0.224889	−	0.389519i	0.731397	−	0.681952i	$-0.238869\pi$
$367$	−4.30825	−	7.46212i	−0.224889	−	0.389519i	−0.956286	+	0.292433i	$0.905535\pi$
$368$	−2.15935	−	23.7819i	−0.112564	−	1.23972i
$369$	−14.2061	+	18.8283i	−0.739540	+	0.980162i
$370$	−0.404995	+	1.66098i	−0.0210547	+	0.0863503i
$371$	5.31659	+	10.1449i	0.276024	+	0.526695i
$372$	27.6940	+	7.90106i	1.43587	+	0.409651i
$373$	−12.6113	−	7.28116i	−0.652990	−	0.377004i	0.136611	−	0.990625i	$-0.456379\pi$
$373$	−12.6113	−	7.28116i	−0.652990	−	0.377004i	−0.789601	+	0.613621i	$0.789712\pi$
$374$	−1.34436	+	5.51354i	−0.0695152	+	0.285099i
$375$	−7.87346	+	1.59938i	−0.406584	+	0.0825917i
$376$	17.3241	+	15.1175i	0.893423	+	0.779627i
$377$		−	8.38786i		−	0.431997i
$378$	−19.0453	−	3.90862i	−0.979583	−	0.201038i
$379$	−17.3791			−0.892704			−0.446352	−	0.894858i	$-0.647277\pi$
$379$	−17.3791			−0.892704			−0.446352	+	0.894858i	$0.647277\pi$
$380$	1.16843	−	2.25355i	0.0599391	−	0.115605i
$381$	−0.951931	−	4.68619i	−0.0487689	−	0.240081i
$382$	7.97988	−	32.7274i	0.408286	−	1.67448i
$383$	−12.0705	+	20.9068i	−0.616776	+	1.06829i	0.373295	+	0.927713i	$0.378228\pi$
$383$	−12.0705	+	20.9068i	−0.616776	+	1.06829i	−0.990070	+	0.140574i	$0.955105\pi$
$384$	1.89922	+	19.5037i	0.0969192	+	0.995292i
$385$	−1.07083	−	0.678062i	−0.0545747	−	0.0345572i
$386$	5.01570	+	1.22297i	0.255292	+	0.0622476i
$387$	−3.23589	+	26.2223i	−0.164489	+	1.33296i
$388$	−7.78738	−	12.1796i	−0.395344	−	0.618324i
$389$	14.9789	−	8.64810i	0.759463	−	0.438476i	−0.0696401	−	0.997572i	$-0.522185\pi$
$389$	14.9789	−	8.64810i	0.759463	−	0.438476i	0.829103	+	0.559096i	$0.188852\pi$
$390$	4.31831	+	0.167432i	0.218666	+	0.00847823i
$391$	11.8656	+	20.5518i	0.600069	+	1.03935i
$392$	5.38879	−	19.0515i	0.272175	−	0.962248i
$393$	17.9938	+	6.02673i	0.907668	+	0.304008i
$394$	2.94879	−	12.0937i	0.148558	−	0.609271i
$395$	−6.80676	−	3.92989i	−0.342485	−	0.197734i
$396$	2.61326	+	5.46427i	0.131321	+	0.274590i
$397$	10.6095	+	18.3762i	0.532475	+	0.922273i	0.999281	+	0.0379137i	$0.0120712\pi$
$397$	10.6095	+	18.3762i	0.532475	+	0.922273i	−0.466806	+	0.884360i	$0.654595\pi$
$398$	1.23243	−	1.28953i	0.0617761	−	0.0646383i
$399$	12.1010	−	1.94697i	0.605807	−	0.0974702i
$400$	−8.01481	+	17.3362i	−0.400740	+	0.866809i
$401$	−12.2660	+	21.2453i	−0.612535	+	1.06094i	0.378277	+	0.925692i	$0.376517\pi$
$401$	−12.2660	+	21.2453i	−0.612535	+	1.06094i	−0.990812	+	0.135249i	$0.956817\pi$
$402$	2.98796	+	0.115851i	0.149026	+	0.00577810i
$403$	−15.4541	−	26.7673i	−0.769824	−	1.33337i
$404$	0.824134	+	18.1904i	0.0410022	+	0.905008i
$405$	−1.17223	−	4.10689i	−0.0582484	−	0.204073i
$406$	−2.03574	−	8.19253i	−0.101032	−	0.406589i
$407$	2.22716	+	1.28585i	0.110396	+	0.0637372i
$408$	−9.84678	−	16.8011i	−0.487488	−	0.831779i
$409$		−	8.05285i		−	0.398188i	−0.979980	−	0.199094i	$-0.936200\pi$
$409$		−	8.05285i		−	0.398188i	0.979980	−	0.199094i	$-0.0637999\pi$
$410$	1.24990	−	5.12616i	0.0617284	−	0.253163i
$411$	−12.0276	−	13.6030i	−0.593276	−	0.670988i
$412$	−2.46896	+	1.57860i	−0.121637	+	0.0777722i
$413$	8.43494	−	13.3209i	0.415056	−	0.655479i
$414$	23.6873	+	8.96856i	1.16417	+	0.440780i
$415$	3.44037	−	1.98630i	0.168881	−	0.0975036i
$416$	13.0964	−	16.4557i	0.642105	−	0.806807i
$417$	20.5574	−	18.1765i	1.00670	−	0.890109i
$418$	−2.76045	−	2.63822i	−0.135018	−	0.129040i
$419$	−1.15858	+	0.668907i	−0.0566004	+	0.0326783i	−0.528033	−	0.849224i	$-0.677070\pi$
$419$	−1.15858	+	0.668907i	−0.0566004	+	0.0326783i	0.471433	+	0.881902i	$0.343737\pi$
$420$	4.25838	−	0.884522i	0.207788	−	0.0431602i
$421$	−4.53180	−	2.61643i	−0.220866	−	0.127517i	0.385485	−	0.922714i	$-0.374034\pi$
$421$	−4.53180	−	2.61643i	−0.220866	−	0.127517i	−0.606351	+	0.795197i	$0.707367\pi$
$422$	1.48510	+	5.07964i	0.0722938	+	0.247273i
$423$	−22.4546	+	9.51528i	−1.09178	+	0.462649i
$424$	3.96437	+	11.5848i	0.192527	+	0.562610i
$425$		−	18.9804i		−	0.920684i
$426$	−0.485119	+	12.5119i	−0.0235041	+	0.606205i
$427$	33.4421	+	21.1759i	1.61838	+	1.02477i
$428$	0.0774139	+	1.70869i	0.00374194	+	0.0825929i
$429$	2.06455	−	6.16406i	0.0996774	−	0.297604i
$430$	−1.65859	−	5.67302i	−0.0799842	−	0.273577i
$431$	−0.683474	−	0.394604i	−0.0329218	−	0.0190074i	0.483449	−	0.875373i	$-0.339384\pi$
$431$	−0.683474	−	0.394604i	−0.0329218	−	0.0190074i	−0.516371	+	0.856365i	$0.672717\pi$
$432$	−19.4856	−	7.23274i	−0.937500	−	0.347985i
$433$		−	23.7255i		−	1.14018i	−0.821584	−	0.570088i	$-0.806909\pi$
$433$		−	23.7255i		−	1.14018i	0.821584	−	0.570088i	$-0.193091\pi$
$434$	−21.5907	−	22.3933i	−1.03639	−	1.07491i
$435$	1.38923	−	1.22834i	0.0666087	−	0.0588943i
$436$	12.9657	+	20.2785i	0.620945	+	0.971166i
$437$	−15.9673			−0.763819
$438$	−14.3834	−	9.06484i	−0.687264	−	0.433135i
$439$	30.9347			1.47643			0.738215	−	0.674565i	$-0.235669\pi$
$439$	30.9347			1.47643			0.738215	+	0.674565i	$0.235669\pi$
$440$	−1.02092	−	0.890882i	−0.0486703	−	0.0424711i
$441$	15.6746	+	13.9752i	0.746410	+	0.665487i
$442$	−4.95102	+	20.3053i	−0.235496	+	0.965826i
$443$	−29.2014			−1.38740			−0.693700	−	0.720264i	$-0.744020\pi$
$443$	−29.2014			−1.38740			−0.693700	+	0.720264i	$0.744020\pi$
$444$	−8.55978	+	2.14636i	−0.406229	+	0.101862i
$445$		−	3.57828i		−	0.169627i
$446$	−27.2064	+	28.4669i	−1.28826	+	1.34795i
$447$	33.4935	+	11.2181i	1.58419	+	0.530597i
$448$	8.79765	−	19.2510i	0.415650	−	0.909525i
$449$	35.6456			1.68222			0.841109	−	0.540865i	$-0.181903\pi$
$449$	35.6456			1.68222			0.841109	+	0.540865i	$0.181903\pi$
$450$	−12.8205	−	15.6848i	−0.604366	−	0.739387i
$451$	−6.87351	−	3.96842i	−0.323661	−	0.186866i
$452$	−0.0639153	−	1.41075i	−0.00300632	−	0.0663561i
$453$	−13.1336	+	11.6125i	−0.617068	+	0.545601i
$454$	−15.2405	+	4.45578i	−0.715273	+	0.209120i
$455$	−3.94367	−	2.49717i	−0.184882	−	0.117069i
$456$	13.1026	−	0.0854533i	0.613585	−	0.00400172i
$457$	30.6105			1.43190			0.715951	−	0.698151i	$-0.245994\pi$
$457$	30.6105			1.43190			0.715951	+	0.698151i	$0.245994\pi$
$458$	−11.0958	+	11.6098i	−0.518471	+	0.542493i
$459$	20.5931	−	1.60181i	0.961203	−	0.0747662i
$460$	−5.66020	+	0.256440i	−0.263908	+	0.0119566i
$461$	11.5236	−	19.9595i	0.536708	−	0.929606i	−0.462370	−	0.886687i	$-0.653001\pi$
$461$	11.5236	−	19.9595i	0.536708	−	0.929606i	0.999079	−	0.0429189i	$-0.0136657\pi$
$462$	0.520454	−	6.52159i	0.0242137	−	0.303412i
$463$	−3.68892	+	2.12980i	−0.171439	+	0.0989802i	−0.583264	−	0.812283i	$-0.698225\pi$
$463$	−3.68892	+	2.12980i	−0.171439	+	0.0989802i	0.411825	+	0.911263i	$0.364891\pi$
$464$	−0.816053	−	8.98755i	−0.0378843	−	0.417237i
$465$	2.17018	−	6.47945i	0.100640	−	0.300477i
$466$	5.15135	+	17.6196i	0.238632	+	0.816214i
$467$	11.5043	−	6.64200i	0.532354	−	0.307355i	−0.209620	−	0.977783i	$-0.567223\pi$
$467$	11.5043	−	6.64200i	0.532354	−	0.307355i	0.741975	+	0.670428i	$0.233889\pi$
$468$	9.62414	+	20.1239i	0.444876	+	0.930227i
$469$	−2.72874	−	1.72786i	−0.126001	−	0.0797854i
$470$	3.76934	−	3.94398i	0.173867	−	0.181922i
$471$	−7.21292	+	1.46520i	−0.332354	+	0.0675129i
$472$	11.0824	−	12.7000i	0.510108	−	0.584564i
$473$	−8.89076			−0.408798
$474$	1.57183	−	40.5398i	0.0721967	−	1.86206i
$475$	11.0598	+	6.38538i	0.507459	+	0.292981i
$476$	0.0923819	+	21.0341i	0.00423432	+	0.964097i
$477$	−12.8894	−	1.59057i	−0.590163	−	0.0728273i
$478$	21.8285	−	6.38186i	0.998410	−	0.291899i
$479$	3.82760	+	6.62959i	0.174887	+	0.302914i	0.940122	−	0.340837i	$-0.110711\pi$
$479$	3.82760	+	6.62959i	0.174887	+	0.302914i	−0.765235	+	0.643751i	$0.777377\pi$
$480$	4.64334	−	0.240725i	0.211938	−	0.0109875i
$481$	8.20220	+	4.73554i	0.373988	+	0.215922i
$482$	14.5064	−	4.24116i	0.660750	−	0.193180i
$483$	−17.2687	−	21.2187i	−0.785754	−	0.965487i
$484$	16.8180	−	10.7531i	0.764454	−	0.488777i
$485$	−2.97054	+	1.71504i	−0.134885	+	0.0778761i
$486$	15.9355	−	15.2335i	0.722847	−	0.691008i
$487$	21.5779	+	12.4580i	0.977787	+	0.564526i	0.901601	−	0.432568i	$-0.142392\pi$
$487$	21.5779	+	12.4580i	0.977787	+	0.564526i	0.0761859	+	0.997094i	$0.475726\pi$
$488$	31.8832	+	27.8222i	1.44329	+	1.25945i
$489$	−16.5958	−	18.7697i	−0.750489	−	0.848793i
$490$	−4.45790	−	1.48189i	−0.201388	−	0.0669451i
$491$	−17.4409	−	30.2085i	−0.787095	−	1.36329i	−0.927739	−	0.373229i	$-0.878251\pi$
$491$	−17.4409	−	30.2085i	−0.787095	−	1.36329i	0.140644	−	0.990060i	$-0.455083\pi$
$492$	26.4174	−	6.62414i	1.19099	−	0.298639i
$493$	4.48419	+	7.76684i	0.201958	+	0.349801i
$494$	−10.1662	−	9.71606i	−0.457400	−	0.437146i
$495$	1.32326	−	0.560739i	0.0594759	−	0.0252034i
$496$	−19.1632	−	27.1775i	−0.860453	−	1.22031i
$497$	7.23536	−	11.4265i	0.324550	−	0.512547i
$498$	17.3478	+	10.9331i	0.777375	+	0.489926i
$499$	4.77350	−	8.26795i	0.213691	−	0.370124i	−0.739176	−	0.673513i	$-0.764785\pi$
$499$	4.77350	−	8.26795i	0.213691	−	0.370124i	0.952867	+	0.303388i	$0.0981180\pi$
$500$	8.23597	+	4.27021i	0.368324	+	0.190969i
$501$	−13.0271	−	14.7335i	−0.582010	−	0.658245i
$502$	4.78152	−	19.6102i	0.213410	−	0.875244i
$503$	27.1505			1.21058			0.605290	−	0.796005i	$-0.293057\pi$
$503$	27.1505			1.21058			0.605290	+	0.796005i	$0.293057\pi$
$504$	14.2841	+	17.3195i	0.636264	+	0.771471i
$505$	4.32052			0.192261
$506$	−2.01900	+	8.28040i	−0.0897555	+	0.368109i
$507$	0.452211	−	1.35015i	0.0200834	−	0.0599624i
$508$	−2.54157	+	4.90195i	−0.112764	+	0.217489i
$509$	−6.73592	+	11.6670i	−0.298565	+	0.517129i	−0.975808	−	0.218630i	$-0.929841\pi$
$509$	−6.73592	+	11.6670i	−0.298565	+	0.517129i	0.677243	+	0.735759i	$0.263174\pi$
$510$	−4.08810	+	2.15355i	−0.181024	+	0.0953608i
$511$	8.52421	+	16.2655i	0.377089	+	0.719543i
$512$	12.4318	−	18.9064i	0.549413	−	0.835551i
$513$	−5.99455	+	12.5384i	−0.264666	+	0.553584i
$514$	11.8912	+	11.3647i	0.524499	+	0.501274i
$515$	0.347662	+	0.602167i	0.0153198	+	0.0265347i
$516$	21.9177	−	21.2224i	0.964873	−	0.934264i
$517$	−4.10320	−	7.10695i	−0.180458	−	0.312563i
$518$	9.16051	+	2.63459i	0.402490	+	0.115757i
$519$	−2.72266	+	0.553070i	−0.119512	+	0.0242771i
$520$	−3.75984	−	3.28095i	−0.164880	−	0.143879i
$521$	−38.1554	−	22.0291i	−1.67162	−	0.965110i	−0.966732	−	0.255792i	$-0.917664\pi$
$521$	−38.1554	−	22.0291i	−1.67162	−	0.965110i	−0.704888	−	0.709318i	$-0.749003\pi$
$522$	8.95179	+	3.38935i	0.391809	+	0.148348i
$523$	14.6928	−	8.48289i	0.642471	−	0.370931i	−0.143095	−	0.989709i	$-0.545705\pi$
$523$	14.6928	−	8.48289i	0.642471	−	0.370931i	0.785566	+	0.618778i	$0.212372\pi$
$524$	−11.8036	−	18.4610i	−0.515642	−	0.806471i
$525$	3.47579	+	21.6031i	0.151696	+	0.942836i
$526$	4.19251	−	1.22574i	0.182802	−	0.0534448i
$527$	28.6199	+	16.5237i	1.24670	+	0.719783i
$528$	1.61246	−	6.80562i	0.0701732	−	0.296177i
$529$	6.32010	+	10.9467i	0.274787	+	0.475945i
$530$	2.78852	−	0.815264i	0.121126	−	0.0354128i
$531$	6.97547	+	16.4610i	0.302710	+	0.714347i
$532$	−12.2876	−	7.02246i	−0.532734	−	0.304462i
$533$	−25.3138	−	14.6149i	−1.09646	−	0.633043i
$534$	16.3415	−	8.60845i	0.707165	−	0.372524i
$535$	0.405842			0.0175461
$536$	−2.60154	−	2.27018i	−0.112369	−	0.0980569i
$537$	−10.9537	+	32.7040i	−0.472685	+	1.41128i
$538$	8.05052	−	8.42351i	0.347083	−	0.363163i
$539$	−4.02128	+	5.81076i	−0.173209	+	0.250287i
$540$	−1.92362	+	4.54098i	−0.0827796	+	0.195413i
$541$	5.64055	−	3.25657i	0.242506	−	0.140011i	−0.373822	−	0.927500i	$-0.621953\pi$
$541$	5.64055	−	3.25657i	0.242506	−	0.140011i	0.616328	+	0.787490i	$0.288620\pi$
$542$	1.83687	+	6.28281i	0.0789002	+	0.269870i
$543$	22.3039	−	4.53072i	0.957153	−	0.194432i
$544$	−3.32950	+	22.2388i	−0.142751	+	0.953479i
$545$	4.94585	−	2.85549i	0.211857	−	0.122316i
$546$	1.91673	−	24.0178i	0.0820286	−	1.02787i
$547$	−0.169495	+	0.293575i	−0.00724710	+	0.0125523i	−0.869626	−	0.493711i	$-0.835640\pi$
$547$	−0.169495	+	0.293575i	−0.00724710	+	0.0125523i	0.862379	+	0.506263i	$0.168974\pi$
$548$	0.948945	+	20.9453i	0.0405369	+	0.894739i
$549$	−41.3253	+	17.5119i	−1.76372	+	0.747389i
$550$	4.70983	−	4.92805i	0.200828	−	0.210133i
$551$	−6.03428			−0.257069
$552$	−14.7882	−	25.2324i	−0.629427	−	1.07396i
$553$	−23.4432	+	37.0228i	−0.996908	+	1.57437i
$554$	25.1499	−	7.35294i	1.06852	−	0.312396i
$555$	0.416828	+	2.05197i	0.0176934	+	0.0871012i
$556$	−31.6534	+	1.43408i	−1.34240	+	0.0608187i
$557$	6.64213	+	3.83484i	0.281436	+	0.162487i	0.634073	−	0.773273i	$-0.281382\pi$
$557$	6.64213	+	3.83484i	0.281436	+	0.162487i	−0.352637	+	0.935760i	$0.614715\pi$
$558$	34.8116	−	5.67704i	1.47369	−	0.240328i
$559$	−32.7430			−1.38488
$560$	−4.46858	−	2.29203i	−0.188832	−	0.0968561i
$561$	1.38364	+	6.81140i	0.0584173	+	0.287578i
$562$	−19.5155	+	20.4197i	−0.823213	+	0.861354i
$563$			33.4174i			1.40838i	0.710013	+	0.704188i	$0.248689\pi$
$563$			33.4174i			1.40838i	−0.710013	+	0.704188i	$0.751311\pi$
$564$	27.0797	+	7.72579i	1.14026	+	0.325314i
$565$	−0.335076			−0.0140967
$566$	−7.92343	+	32.4959i	−0.333047	+	1.36590i
$567$	−23.1453	+	5.59426i	−0.972011	+	0.234937i
$568$	9.50628	−	10.8938i	0.398875	−	0.457095i
$569$	−43.2760			−1.81422			−0.907112	−	0.420890i	$-0.861718\pi$
$569$	−43.2760			−1.81422			−0.907112	+	0.420890i	$0.861718\pi$
$570$	0.120451	−	3.10662i	0.00504516	−	0.130122i
$571$	−19.4114			−0.812340			−0.406170	−	0.913798i	$-0.633136\pi$
$571$	−19.4114			−0.812340			−0.406170	+	0.913798i	$0.633136\pi$
$572$	−6.32409	+	4.04350i	−0.264423	+	0.169067i
$573$	−8.21304	−	40.4313i	−0.343105	−	1.68904i
$574$	−28.2714	−	8.13094i	−1.18003	−	0.339379i
$575$		−	28.5053i		−	1.18875i
$576$	12.2701	+	20.6263i	0.511253	+	0.859430i
$577$	18.7335	+	10.8158i	0.779885	+	0.450267i	0.836390	−	0.548135i	$-0.184662\pi$
$577$	18.7335	+	10.8158i	0.779885	+	0.450267i	−0.0565044	+	0.998402i	$0.517996\pi$
$578$	0.475622	+	1.62681i	0.0197833	+	0.0676665i
$579$	6.19637	−	1.25870i	0.257512	−	0.0523100i
$580$	−2.13908	+	0.0969127i	−0.0888204	+	0.00402408i
$581$	−10.2811	−	19.6179i	−0.426531	−	0.813886i
$582$	−14.9788	−	9.44007i	−0.620889	−	0.391303i
$583$		−	4.37018i		−	0.180994i
$584$	6.35616	+	18.5743i	0.263020	+	0.768608i
$585$	4.87330	−	2.06510i	0.201486	−	0.0853813i
$586$	10.5716	+	36.1590i	0.436709	+	1.49372i
$587$	35.5667	+	20.5344i	1.46799	+	0.847547i	0.999357	−	0.0358435i	$-0.0114118\pi$
$587$	35.5667	+	20.5344i	1.46799	+	0.847547i	0.468637	+	0.883391i	$0.344745\pi$
$588$	−3.95702	−	23.9237i	−0.163185	−	0.986596i
$589$	−19.2566	+	11.1178i	−0.793454	+	0.458101i
$590$	−2.89126	−	2.76323i	−0.119031	−	0.113760i
$591$	−3.03494	−	14.9405i	−0.124841	−	0.614569i
$592$	9.24934	+	4.27612i	0.380146	+	0.175748i
$593$	−27.7873	+	16.0430i	−1.14109	+	0.658807i	−0.946699	−	0.322118i	$-0.895605\pi$
$593$	−27.7873	+	16.0430i	−1.14109	+	0.658807i	−0.194387	+	0.980925i	$0.562272\pi$
$594$	5.74424	+	4.69412i	0.235689	+	0.192602i
$595$	4.98669	+	0.203984i	0.204435	+	0.00836254i
$596$	−21.9711	−	34.3630i	−0.899970	−	1.40756i
$597$	0.693826	−	2.07154i	0.0283964	−	0.0847823i
$598$	−7.43559	+	30.4952i	−0.304064	+	1.24704i
$599$		−	14.7251i		−	0.601651i	−0.953679	−	0.300826i	$-0.902738\pi$
$599$		−	14.7251i		−	0.601651i	0.953679	−	0.300826i	$-0.0972622\pi$
$600$	0.152554	+	23.3912i	0.00622799	+	0.954941i
$601$	−0.440885	−	0.254545i	−0.0179841	−	0.0103831i	0.490981	−	0.871170i	$-0.336638\pi$
$601$	−0.440885	−	0.254545i	−0.0179841	−	0.0103831i	−0.508965	+	0.860787i	$0.669972\pi$
$602$	−31.9805	+	7.94674i	−1.30343	+	0.323885i
$603$	3.37197	−	1.42890i	0.137317	−	0.0581892i
$604$	20.2224	−	0.916194i	0.822839	−	0.0372794i
$605$	−2.36819	−	4.10183i	−0.0962808	−	0.166763i
$606$	10.3941	+	19.7312i	0.422232	+	0.801525i
$607$	−3.62867	+	6.28505i	−0.147283	+	0.255102i	−0.930222	−	0.366996i	$-0.880386\pi$
$607$	−3.62867	+	6.28505i	−0.147283	+	0.255102i	0.782939	+	0.622098i	$0.213720\pi$
$608$	−11.8383	−	9.42165i	−0.480108	−	0.382098i
$609$	−6.52611	−	8.01889i	−0.264451	−	0.324942i
$610$	6.93707	−	7.25848i	0.280874	−	0.293887i
$611$	−15.1113	−	26.1735i	−0.611338	−	1.05887i
$612$	−19.6699	−	13.4888i	−0.795109	−	0.545254i
$613$	−8.05338	−	4.64962i	−0.325273	−	0.187796i	0.328468	−	0.944515i	$-0.393468\pi$
$613$	−8.05338	−	4.64962i	−0.325273	−	0.187796i	−0.653740	+	0.756719i	$0.726801\pi$
$614$	−1.98439	+	8.13845i	−0.0800834	+	0.328441i
$615$	−1.28642	−	6.33283i	−0.0518736	−	0.255364i
$616$	−5.19546	+	5.48420i	−0.209331	+	0.220965i
$617$	2.05401	+	3.55765i	0.0826914	+	0.143226i	0.904405	−	0.426675i	$-0.140315\pi$
$617$	2.05401	+	3.55765i	0.0826914	+	0.143226i	−0.821714	+	0.569900i	$0.806982\pi$
$618$	−1.91362	+	3.03639i	−0.0769773	+	0.122141i
$619$	26.7838	−	15.4636i	1.07653	−	0.621536i	0.146573	−	0.989200i	$-0.453176\pi$
$619$	26.7838	−	15.4636i	1.07653	−	0.621536i	0.929959	+	0.367664i	$0.119842\pi$
$620$	−6.64766	+	4.25039i	−0.266977	+	0.170700i
$621$	30.9273	−	2.40565i	1.24107	−	0.0965353i
$622$	−19.4293	−	4.73742i	−0.779044	−	0.189953i
$623$	−19.9334	−	0.815392i	−0.798617	−	0.0326680i
$624$	5.93837	−	25.0638i	0.237725	−	1.00336i
$625$	−10.8364	+	18.7692i	−0.433456	+	0.750768i
$626$	4.60885	−	18.9020i	0.184207	−	0.755477i
$627$	−4.43446	−	1.48525i	−0.177095	−	0.0593152i
$628$	7.54502	+	3.91196i	0.301079	+	0.156104i
$629$	−10.1266			−0.403773
$630$	4.25862	−	3.19976i	0.169667	−	0.127482i
$631$			1.60406i			0.0638568i	0.999490	+	0.0319284i	$0.0101648\pi$
$631$			1.60406i			0.0638568i	−0.999490	+	0.0319284i	$0.989835\pi$
$632$	−30.8013	+	35.2971i	−1.22521	+	1.40404i
$633$	4.29343	+	4.85581i	0.170648	+	0.193001i
$634$	6.99675	−	28.6953i	0.277876	−	1.13964i
$635$	1.13461	+	0.655068i	0.0450257	+	0.0259956i
$636$	10.4317	+	10.7735i	0.413643	+	0.427195i
$637$	−14.8096	+	21.3999i	−0.586779	+	0.847896i
$638$	−0.763011	+	3.12929i	−0.0302079	+	0.123890i
$639$	5.98345	+	14.1200i	0.236702	+	0.558578i
$640$	−4.34786	−	3.14973i	−0.171864	−	0.124504i
$641$	13.6833	+	23.7002i	0.540457	+	0.936100i	0.998878	+	0.0473642i	$0.0150821\pi$
$641$	13.6833	+	23.7002i	0.540457	+	0.936100i	−0.458420	+	0.888736i	$0.651585\pi$
$642$	0.976356	+	1.85342i	0.0385337	+	0.0731487i
$643$	−1.45750	+	0.841486i	−0.0574780	+	0.0331850i	−0.528464	−	0.848956i	$-0.677232\pi$
$643$	−1.45750	+	0.841486i	−0.0574780	+	0.0331850i	0.470986	+	0.882141i	$0.343898\pi$
$644$	0.138742	+	31.5897i	0.00546720	+	1.24481i
$645$	−4.79496	−	5.42304i	−0.188801	−	0.213532i
$646$	14.6078	+	3.56180i	0.574736	+	0.140137i
$647$	7.38165	−	12.7854i	0.290203	−	0.502646i	−0.683655	−	0.729806i	$-0.739611\pi$
$647$	7.38165	−	12.7854i	0.290203	−	0.502646i	0.973858	+	0.227160i	$0.0729439\pi$
$648$	−25.3658	+	2.13957i	−0.996462	+	0.0840501i
$649$	−5.20997	+	3.00797i	−0.204509	+	0.118073i
$650$	17.3454	−	18.1491i	0.680344	−	0.711865i
$651$	−35.6004	−	13.5659i	−1.39529	−	0.531689i
$652$	1.30937	+	28.9007i	0.0512788	+	1.13184i
$653$	14.3356	+	8.27667i	0.560996	+	0.323891i	0.753545	−	0.657396i	$-0.228342\pi$
$653$	14.3356	+	8.27667i	0.560996	+	0.323891i	−0.192549	+	0.981287i	$0.561675\pi$
$654$	24.9391	+	15.7174i	0.975195	+	0.614598i
$655$	−4.50255	+	2.59955i	−0.175929	+	0.101573i
$656$	−28.5455	−	13.1971i	−1.11452	−	0.515259i
$657$	−20.6658	−	2.55020i	−0.806250	−	0.0994928i
$658$	−21.1117	−	21.8965i	−0.823021	−	0.853616i
$659$	−12.4821	+	21.6196i	−0.486234	+	0.842181i	−0.999875	−	0.0158239i	$-0.994963\pi$
$659$	−12.4821	+	21.6196i	−0.486234	+	0.842181i	0.513641	+	0.858005i	$0.328296\pi$
$660$	−1.59582	−	0.455284i	−0.0621171	−	0.0177219i
$661$	−19.4815			−0.757741			−0.378870	−	0.925450i	$-0.623687\pi$
$661$	−19.4815			−0.757741			−0.378870	+	0.925450i	$0.623687\pi$
$662$	1.24704	+	0.304065i	0.0484677	+	0.0118178i
$663$	5.09568	+	25.0851i	0.197900	+	0.974225i
$664$	−7.66619	−	22.4025i	−0.297506	−	0.869385i
$665$	−1.79648	+	2.83710i	−0.0696647	+	0.110018i
$666$	−8.36826	+	6.84012i	−0.324263	+	0.265049i
$667$	6.73449	+	11.6645i	0.260760	+	0.451650i
$668$	1.02781	+	22.6860i	0.0397671	+	0.877748i
$669$	−15.3165	+	45.7300i	−0.592171	+	1.76803i
$670$	−0.566037	+	0.592262i	−0.0218679	+	0.0228811i
$671$	−7.55150	−	13.0796i	−0.291523	−	0.504932i
$672$	−0.282911	−	25.9214i	−0.0109135	−	0.999940i
$673$	14.0457	−	24.3279i	0.541422	−	0.937770i	−0.457401	−	0.889261i	$-0.651220\pi$
$673$	14.0457	−	24.3279i	0.541422	−	0.937770i	0.998823	−	0.0485096i	$-0.0154471\pi$
$674$	12.8934	+	44.1005i	0.496635	+	1.69869i
$675$	−22.3840	−	10.7017i	−0.861559	−	0.411908i
$676$	−1.38520	+	0.885673i	−0.0532771	+	0.0340643i
$677$	−12.2457			−0.470642			−0.235321	−	0.971918i	$-0.575614\pi$
$677$	−12.2457			−0.470642			−0.235321	+	0.971918i	$0.575614\pi$
$678$	−0.806110	−	1.53024i	−0.0309585	−	0.0587686i
$679$	8.87706	+	16.9388i	0.340670	+	0.650050i
$680$	5.23549	+	1.02801i	0.200772	+	0.0394223i
$681$	−14.5690	+	12.8816i	−0.558284	+	0.493625i
$682$	3.33061	+	11.3920i	0.127536	+	0.436222i
$683$	−0.338980	+	0.587130i	−0.0129707	+	0.0224659i	−0.872438	−	0.488725i	$-0.837462\pi$
$683$	−0.338980	+	0.587130i	−0.0129707	+	0.0224659i	0.859467	+	0.511191i	$0.170795\pi$
$684$	14.4773	−	6.92367i	0.553552	−	0.264733i
$685$	4.97484			0.190079
$686$	−9.27100	+	24.4959i	−0.353968	+	0.935257i
$687$	−6.24663	+	18.6504i	−0.238324	+	0.711556i
$688$	−35.0840	+	3.18556i	−1.33756	+	0.121448i
$689$		−	16.0945i		−	0.613153i
$690$	−6.13963	+	3.23427i	−0.233732	+	0.123126i
$691$			27.2198i			1.03549i	0.855535	+	0.517746i	$0.173229\pi$
$691$			27.2198i			1.03549i	−0.855535	+	0.517746i	$0.826771\pi$
$692$	2.84802	+	1.47665i	0.108266	+	0.0561338i
$693$	−2.82217	−	7.49922i	−0.107205	−	0.284872i
$694$	−49.9890	−	12.1888i	−1.89756	−	0.462679i
$695$			7.51818i			0.285181i
$696$	−5.58868	−	9.53571i	−0.211838	−	0.361450i
$697$	31.2529			1.18379
$698$	26.2426	−	27.4585i	0.993298	−	1.03932i
$699$	14.8925	+	16.8433i	0.563287	+	0.637071i
$700$	12.5367	−	21.9362i	0.473844	−	0.829110i
$701$		−	51.3819i		−	1.94067i	−0.241767	−	0.970334i	$-0.577727\pi$
$701$		−	51.3819i		−	1.94067i	0.241767	−	0.970334i	$-0.422273\pi$
$702$	21.1550	+	17.2876i	0.798443	+	0.652477i
$703$	3.40678	−	5.90072i	0.128489	−	0.222550i
$704$	−6.38284	+	4.94786i	−0.240562	+	0.186480i
$705$	2.12204	−	6.33571i	0.0799207	−	0.238617i
$706$	27.1557	−	7.93936i	1.02202	−	0.298802i
$707$	0.984529	−	24.0682i	0.0370270	−	0.905180i
$708$	5.66363	−	19.8516i	0.212852	−	0.746069i
$709$			0.392684i			0.0147475i	0.999973	+	0.00737377i	$0.00234717\pi$
$709$			0.392684i			0.0147475i	−0.999973	+	0.00737377i	$0.997653\pi$
$710$	−2.48007	−	2.37025i	−0.0930755	−	0.0889541i
$711$	−19.3869	−	45.7501i	−0.727067	−	1.71576i
$712$	−20.9280	−	4.10928i	−0.784308	−	0.154002i
$713$	42.9822	+	24.8158i	1.60969	+	0.929358i
$714$	11.0652	+	23.2642i	0.414104	+	0.870643i
$715$	0.890515	+	1.54242i	0.0333034	+	0.0576831i
$716$	33.5530	−	21.4532i	1.25394	−	0.801742i
$717$	20.8666	−	18.4499i	0.779278	−	0.689024i
$718$	−36.9697	+	10.8086i	−1.37970	+	0.403374i
$719$	−16.4830	−	28.5494i	−0.614712	−	1.06471i	−0.990435	−	0.137980i	$-0.955939\pi$
$719$	−16.4830	−	28.5494i	−0.614712	−	1.06471i	0.375723	−	0.926732i	$-0.377394\pi$
$720$	5.02081	−	2.68687i	0.187115	−	0.100134i
$721$	3.43371	−	1.79950i	0.127878	−	0.0670167i
$722$	11.5753	−	12.1116i	0.430786	−	0.450745i
$723$	13.8672	−	12.2612i	0.515728	−	0.455998i
$724$	−23.3309	−	12.0966i	−0.867084	−	0.449568i
$725$		−	10.7726i		−	0.400084i
$726$	13.0352	−	20.6832i	0.483781	−	0.767626i
$727$	−9.66286	+	16.7366i	−0.358375	+	0.620725i	−0.987690	−	0.156426i	$-0.950003\pi$
$727$	−9.66286	+	16.7366i	−0.358375	+	0.620725i	0.629314	+	0.777151i	$0.283336\pi$
$728$	−19.1339	+	20.1973i	−0.709150	+	0.748560i
$729$	9.72190	−	25.1890i	0.360071	−	0.932925i
$730$	4.47090	−	1.30713i	0.165475	−	0.0483791i
$731$	30.3188	−	17.5046i	1.12138	−	0.647430i
$732$	49.8373	+	14.2185i	1.84204	+	0.525531i
$733$	17.9277	−	31.0517i	0.662175	−	1.14692i	−0.317868	−	0.948135i	$-0.602967\pi$
$733$	17.9277	−	31.0517i	0.662175	−	1.14692i	0.980043	−	0.198786i	$-0.0636998\pi$
$734$	3.41948	+	11.6960i	0.126215	+	0.431706i
$735$	−5.71311	+	0.681018i	−0.210731	+	0.0251197i
$736$	−5.00034	+	33.3988i	−0.184315	+	1.23110i
$737$	0.616172	+	1.06724i	0.0226970	+	0.0393123i
$738$	25.8263	−	21.1101i	0.950680	−	0.777075i
$739$	−23.6479	+	40.9593i	−0.869901	+	1.50671i	−0.00780389	+	0.999970i	$0.502484\pi$
$739$	−23.6479	+	40.9593i	−0.869901	+	1.50671i	−0.862097	+	0.506743i	$0.830849\pi$
$740$	1.11289	−	2.14644i	0.0409108	−	0.0789049i
$741$	−16.3313	−	5.46990i	−0.599945	−	0.200942i
$742$	−3.90615	−	15.7198i	−0.143399	−	0.577090i
$743$	−5.45497	+	3.14943i	−0.200123	+	0.115541i	−0.596713	−	0.802455i	$-0.703527\pi$
$743$	−5.45497	+	3.14943i	−0.200123	+	0.115541i	0.396590	+	0.917996i	$0.370194\pi$
$744$	−35.4035	−	20.1335i	−1.29796	−	0.738131i
$745$	−8.38099	+	4.83877i	−0.307056	+	0.177279i
$746$	14.8882	+	14.2290i	0.545096	+	0.520959i
$747$	24.9251	+	3.07580i	0.911962	+	0.112538i
$748$	3.69419	−	7.12502i	0.135073	−	0.260516i
$749$	0.0924804	−	2.26082i	0.00337916	−	0.0826085i
$750$	11.3536	+	0.440209i	0.414576	+	0.0160742i
$751$	0.956280	+	0.552109i	0.0348952	+	0.0201467i	0.517346	−	0.855776i	$-0.326920\pi$
$751$	0.956280	+	0.552109i	0.0348952	+	0.0201467i	−0.482451	+	0.875923i	$0.660253\pi$
$752$	−18.7381	−	26.5747i	−0.683309	−	0.969078i
$753$	−4.92122	−	24.2263i	−0.179339	−	0.882855i
$754$	−2.81002	+	11.5246i	−0.102335	+	0.419701i
$755$		−	4.80315i		−	0.174804i
$756$	24.8580	+	11.7507i	0.904078	+	0.427368i
$757$			47.1732i			1.71454i	0.514868	+	0.857269i	$0.327841\pi$
$757$			47.1732i			1.71454i	−0.514868	+	0.857269i	$0.672159\pi$
$758$	23.8782	+	5.82218i	0.867294	+	0.211471i
$759$	2.07799	+	10.2296i	0.0754263	+	0.371310i
$760$	−2.36034	+	2.70486i	−0.0856184	+	0.0981155i
$761$	2.67766	+	1.54595i	0.0970650	+	0.0560405i	0.547747	−	0.836644i	$-0.315486\pi$
$761$	2.67766	+	1.54595i	0.0970650	+	0.0560405i	−0.450682	+	0.892685i	$0.648819\pi$
$762$	−0.262007	+	6.75754i	−0.00949151	+	0.244800i
$763$	−14.7800	−	28.2024i	−0.535072	−	1.02100i
$764$	−21.9281	+	42.2928i	−0.793330	+	1.53010i
$765$	−3.40848	+	4.51749i	−0.123234	+	0.163330i
$766$	23.5884	−	24.6813i	0.852285	−	0.891773i
$767$	−19.1873	+	11.0778i	−0.692814	+	0.399996i
$768$	3.92449	−	27.4335i	0.141613	−	0.989922i
$769$	1.72424	−	0.995490i	0.0621777	−	0.0358983i	−0.468589	−	0.883416i	$-0.655237\pi$
$769$	1.72424	−	0.995490i	0.0621777	−	0.0358983i	0.530767	+	0.847518i	$0.321904\pi$
$770$	1.24412	+	1.29037i	0.0448351	+	0.0465017i
$771$	19.1024	+	6.39803i	0.687955	+	0.230419i
$772$	−6.48166	−	3.36063i	−0.233280	−	0.120952i
$773$	10.4906	−	18.1703i	0.377321	−	0.653539i	−0.613351	−	0.789811i	$-0.710179\pi$
$773$	10.4906	−	18.1703i	0.377321	−	0.653539i	0.990671	+	0.136272i	$0.0435121\pi$
$774$	13.2307	−	34.9444i	0.475569	−	1.25605i
$775$	−19.8478	−	34.3775i	−0.712956	−	1.23488i
$776$	6.61927	+	19.3431i	0.237618	+	0.694377i
$777$	11.5258	−	1.85443i	0.413488	−	0.0665273i
$778$	−23.4777	+	6.86404i	−0.841716	+	0.246088i
$779$	−10.5141	+	18.2109i	−0.376706	+	0.652474i
$780$	−5.87709	−	1.67672i	−0.210434	−	0.0600364i
$781$	−4.46902	+	2.58019i	−0.159914	+	0.0923266i
$782$	−9.41777	−	32.2125i	−0.336779	−	1.15192i
$783$	11.6879	−	0.909131i	0.417691	−	0.0324897i
$784$	−13.7865	+	24.3707i	−0.492374	+	0.870384i
$785$	1.00827	−	1.74638i	0.0359868	−	0.0623310i
$786$	−22.7038	−	14.3086i	−0.809817	−	0.510371i
$787$		−	11.2812i		−	0.402133i	−0.979578	−	0.201066i	$-0.935559\pi$
$787$		−	11.2812i		−	0.402133i	0.979578	−	0.201066i	$-0.0644407\pi$
$788$	−8.10303	+	15.6284i	−0.288658	+	0.556737i
$789$	4.00777	−	3.54361i	0.142681	−	0.126156i
$790$	8.03567	+	7.67985i	0.285896	+	0.273237i
$791$	−0.0763547	+	1.86660i	−0.00271486	+	0.0663687i
$792$	−1.75993	−	8.38316i	−0.0625362	−	0.297883i
$793$	−27.8108	−	48.1696i	−0.987589	−	1.71055i
$794$	−8.42080	−	28.8024i	−0.298843	−	1.02216i
$795$	2.66565	−	2.35692i	0.0945408	−	0.0835914i
$796$	−2.12532	+	1.35889i	−0.0753298	+	0.0481644i
$797$	25.4677	+	44.1113i	0.902111	+	1.56250i	0.824750	+	0.565498i	$0.191316\pi$
$797$	25.4677	+	44.1113i	0.902111	+	1.56250i	0.0773610	+	0.997003i	$0.475351\pi$
$798$	−17.2785	−	1.37891i	−0.611654	−	0.0488129i
$799$	27.9850	+	16.1571i	0.990038	+	0.571599i
$800$	16.8198	−	21.1342i	0.594671	−	0.747207i
$801$	13.6248	−	18.0579i	0.481410	−	0.638044i
$802$	23.9704	−	25.0810i	0.846425	−	0.885641i
$803$		−	7.00681i		−	0.247265i
$804$	−4.06652	−	1.16017i	−0.143415	−	0.0409161i
$805$	7.48916	+	0.306350i	0.263958	+	0.0107974i
$806$	12.2660	+	41.9545i	0.432051	+	1.47779i
$807$	4.53224	−	13.5318i	0.159542	−	0.476340i
$808$	4.96167	−	25.2690i	0.174551	−	0.888962i
$809$	−21.1020	+	36.5497i	−0.741906	+	1.28502i	0.209720	+	0.977761i	$0.432745\pi$
$809$	−21.1020	+	36.5497i	−0.741906	+	1.28502i	−0.951626	+	0.307257i	$0.900589\pi$
$810$	0.234742	+	6.03541i	0.00824799	+	0.212063i
$811$			21.2437i			0.745967i	0.927838	+	0.372983i	$0.121665\pi$
$811$			21.2437i			0.745967i	−0.927838	+	0.372983i	$0.878335\pi$
$812$	0.0524327	+	11.9382i	0.00184003	+	0.418949i
$813$	5.31037	+	6.00596i	0.186243	+	0.210638i
$814$	−2.62925	−	2.51283i	−0.0921552	−	0.0880746i
$815$	6.86436			0.240448
$816$	7.90053	+	26.3828i	0.276574	+	0.923584i
$817$			23.5555i			0.824104i
$818$	−2.69779	+	11.0643i	−0.0943261	+	0.386854i
$819$	−10.3935	−	27.6182i	−0.363179	−	0.965058i
$820$	−3.43464	+	6.62441i	−0.119943	+	0.231334i
$821$			42.8050i			1.49390i	0.664878	+	0.746952i	$0.268484\pi$
$821$			42.8050i			1.49390i	−0.664878	+	0.746952i	$0.731516\pi$
$822$	11.9682	+	22.7194i	0.417441	+	0.792430i
$823$			48.0883i			1.67625i	0.545477	+	0.838126i	$0.316349\pi$
$823$			48.0883i			1.67625i	−0.545477	+	0.838126i	$0.683651\pi$
$824$	3.92110	−	1.34181i	0.136598	−	0.0467442i
$825$	2.65152	−	7.91655i	0.0923140	−	0.275619i
$826$	−16.0519	+	15.4766i	−0.558518	+	0.538500i
$827$	−54.9141			−1.90955			−0.954775	−	0.297329i	$-0.903904\pi$
$827$	−54.9141			−1.90955			−0.954775	+	0.297329i	$0.903904\pi$
$828$	−29.5409	−	20.2579i	−1.02662	−	0.704012i
$829$	19.9185	−	34.4998i	0.691798	−	1.19823i	−0.279450	−	0.960160i	$-0.590152\pi$
$829$	19.9185	−	34.4998i	0.691798	−	1.19823i	0.971248	−	0.238069i	$-0.0765144\pi$
$830$	−5.39237	+	1.57654i	−0.187172	+	0.0547224i
$831$	24.0417	−	21.2573i	0.833998	−	0.737407i
$832$	−23.5068	+	18.2220i	−0.814952	+	0.631736i
$833$	2.27266	−	27.7328i	0.0787432	−	0.960885i
$834$	−34.3344	+	18.0869i	−1.18890	+	0.626298i
$835$	5.38828			0.186469
$836$	2.90892	+	4.54959i	0.100607	+	0.157351i
$837$	35.6234	−	24.4355i	1.23132	−	0.844613i
$838$	1.81594	−	0.530915i	0.0627305	−	0.0183402i
$839$	25.5464	−	44.2477i	0.881960	−	1.52760i	0.0328021	−	0.999462i	$-0.489557\pi$
$839$	25.5464	−	44.2477i	0.881960	−	1.52760i	0.849158	−	0.528138i	$-0.177110\pi$
$840$	−6.14717	−	0.211307i	−0.212098	−	0.00729079i
$841$	−11.9549	−	20.7066i	−0.412239	−	0.714019i
$842$	5.34997	+	5.11308i	0.184372	+	0.176208i
$843$	−10.9867	+	32.8028i	−0.378404	+	1.12979i
$844$	−0.338741	−	7.47675i	−0.0116599	−	0.257360i
$845$	0.195055	+	0.337845i	0.00671009	+	0.0116222i
$846$	34.0394	−	5.55110i	1.17030	−	0.190851i
$847$	−23.3897	+	12.2578i	−0.803678	+	0.421182i
$848$	−1.56583	−	17.2452i	−0.0537710	−	0.592204i
$849$	8.15494	+	40.1453i	0.279877	+	1.37778i
$850$	−6.35864	+	26.0783i	−0.218100	+	0.894479i
$851$	−15.2084			−0.521337
$852$	4.85817	−	17.0284i	0.166438	−	0.583383i
$853$	5.70784	−	9.88627i	0.195433	−	0.338499i	−0.751610	−	0.659608i	$-0.770722\pi$
$853$	5.70784	−	9.88627i	0.195433	−	0.338499i	0.947042	+	0.321109i	$0.104056\pi$
$854$	−38.8539	−	40.2983i	−1.32955	−	1.37898i
$855$	−1.48564	−	3.50589i	−0.0508080	−	0.119899i
$856$	0.466068	−	2.37361i	0.0159299	−	0.0811284i
$857$	6.22236	−	3.59248i	0.212552	−	0.122717i	−0.389945	−	0.920838i	$-0.627506\pi$
$857$	6.22236	−	3.59248i	0.212552	−	0.122717i	0.602497	+	0.798121i	$0.294173\pi$
$858$	−4.90164	+	7.77753i	−0.167339	+	0.265520i
$859$	40.8888	+	23.6072i	1.39511	+	0.805467i	0.993875	−	0.110509i	$-0.0352481\pi$
$859$	40.8888	+	23.6072i	1.39511	+	0.805467i	0.401234	+	0.915976i	$0.368581\pi$
$860$	0.378310	+	8.35014i	0.0129003	+	0.284738i
$861$	−35.5714	+	5.72318i	−1.21227	+	0.195046i
$862$	0.806870	+	0.771142i	0.0274821	+	0.0262652i
$863$	−39.7042	+	22.9232i	−1.35155	+	0.780315i	−0.988466	−	0.151443i	$-0.951608\pi$
$863$	−39.7042	+	22.9232i	−1.35155	+	0.780315i	−0.363080	+	0.931758i	$0.618275\pi$
$864$	24.3494	+	16.4654i	0.828382	+	0.560164i
$865$	0.380594	−	0.659207i	0.0129406	−	0.0224137i
$866$	−7.94831	+	32.5979i	−0.270094	+	1.10772i
$867$	1.37502	+	1.55513i	0.0466981	+	0.0528150i
$868$	22.1627	+	38.0006i	0.752253	+	1.28982i
$869$	14.4801	−	8.36007i	0.491203	−	0.283596i
$870$	−2.32026	+	1.22228i	−0.0786641	+	0.0414391i
$871$	2.26924	+	3.93045i	0.0768904	+	0.133178i
$872$	−11.0208	−	32.2056i	−0.373213	−	1.09062i
$873$	−21.5212	−	2.65576i	−0.728384	−	0.0898839i
$874$	21.9384	+	5.34922i	0.742078	+	0.180940i
$875$	−10.3687	−	6.56554i	−0.350524	−	0.221956i
$876$	16.7254	+	17.2733i	0.565098	+	0.583612i
$877$	17.3225	+	10.0012i	0.584940	+	0.337715i	0.763094	−	0.646287i	$-0.223679\pi$
$877$	17.3225	+	10.0012i	0.584940	+	0.337715i	−0.178154	+	0.984003i	$0.557013\pi$
$878$	−42.5030	−	10.3634i	−1.43441	−	0.349749i
$879$	30.5624	+	34.5657i	1.03084	+	1.16587i
$880$	1.10424	+	1.56606i	0.0372241	+	0.0527917i
$881$		−	31.6334i		−	1.06576i	−0.846192	−	0.532879i	$-0.821110\pi$
$881$		−	31.6334i		−	1.06576i	0.846192	−	0.532879i	$-0.178890\pi$
$882$	−16.8544	−	24.4526i	−0.567518	−	0.823361i
$883$	−29.0415			−0.977323			−0.488661	−	0.872474i	$-0.662515\pi$
$883$	−29.0415			−0.977323			−0.488661	+	0.872474i	$0.662515\pi$
$884$	13.6050	−	26.2401i	0.457586	−	0.882550i
$885$	−4.64459	−	1.55563i	−0.156126	−	0.0522919i
$886$	40.1215	+	9.78278i	1.34791	+	0.328659i
$887$	14.2863	−	24.7446i	0.479687	−	0.830842i	−0.520042	−	0.854141i	$-0.674084\pi$
$887$	14.2863	−	24.7446i	0.479687	−	0.830842i	0.999729	+	0.0232991i	$0.00741702\pi$
$888$	12.4798	−	0.0813918i	0.418796	−	0.00273133i
$889$	3.90773	−	6.17129i	0.131061	−	0.206978i
$890$	−1.19876	+	4.91641i	−0.0401826	+	0.164798i
$891$	8.81296	+	2.20871i	0.295245	+	0.0739944i
$892$	46.9173	−	29.9980i	1.57091	−	1.00441i
$893$	−18.8294	+	10.8712i	−0.630102	+	0.363790i
$894$	−42.2605	−	26.6339i	−1.41340	−	0.890771i
$895$	−4.72471	−	8.18344i	−0.157930	−	0.273542i
$896$	−18.5369	+	23.5028i	−0.619275	+	0.785174i
$897$	7.65285	+	37.6736i	0.255521	+	1.25788i
$898$	−48.9756	−	11.9417i	−1.63434	−	0.398498i
$899$	16.2436	+	9.37825i	0.541755	+	0.312782i
$900$	12.3604	+	25.8453i	0.412012	+	0.861509i
$901$	8.60422	+	14.9029i	0.286648	+	0.496489i
$902$	8.11446	+	7.75515i	0.270182	+	0.258218i
$903$	−31.3027	+	25.4755i	−1.04169	+	0.847770i
$904$	−0.384800	+	1.95973i	−0.0127983	+	0.0651796i
$905$	−3.11780	+	5.40019i	−0.103639	+	0.179508i
$906$	21.9353	−	11.5552i	0.728751	−	0.383895i
$907$	−10.1124	−	17.5152i	−0.335776	−	0.581582i	0.647857	−	0.761762i	$-0.275665\pi$
$907$	−10.1124	−	17.5152i	−0.335776	−	0.581582i	−0.983634	+	0.180180i	$0.942332\pi$
$908$	22.4326	−	1.01633i	0.744452	−	0.0337280i
$909$	21.8037	+	16.4510i	0.723182	+	0.545646i
$910$	4.58187	+	4.75219i	0.151887	+	0.157534i
$911$	24.6868	+	14.2529i	0.817909	+	0.472220i	0.849695	−	0.527275i	$-0.176786\pi$
$911$	24.6868	+	14.2529i	0.817909	+	0.472220i	−0.0317857	+	0.999495i	$0.510119\pi$
$912$	−18.0311	−	4.27210i	−0.597069	−	0.141464i
$913$			8.45093i			0.279685i
$914$	−42.0577	−	10.2549i	−1.39114	−	0.339201i
$915$	3.90540	−	11.6602i	0.129108	−	0.385475i
$916$	19.1346	−	12.2343i	0.632224	−	0.404232i
$917$	13.4552	+	25.6746i	0.444331	+	0.847851i
$918$	−28.8307	−	4.69808i	−0.951555	−	0.155060i
$919$	−26.9444	+	15.5564i	−0.888814	+	0.513157i	−0.873554	−	0.486726i	$-0.838191\pi$
$919$	−26.9444	+	15.5564i	−0.888814	+	0.513157i	−0.0152597	+	0.999884i	$0.504858\pi$
$920$	7.86281	+	1.54389i	0.259229	+	0.0509006i
$921$	2.04237	+	10.0542i	0.0672983	+	0.331297i
$922$	−22.5196	+	23.5630i	−0.741645	+	0.776006i
$923$	−16.4586	+	9.50236i	−0.541741	+	0.312774i
$924$	−2.89989	+	8.78604i	−0.0953992	+	0.289040i
$925$	10.5341	+	6.08189i	0.346361	+	0.199971i
$926$	5.78194	−	1.69043i	0.190006	−	0.0555510i
$927$	−0.538357	+	4.36263i	−0.0176820	+	0.143288i
$928$	−1.88970	+	12.6219i	−0.0620326	+	0.414335i
$929$		−	12.8858i		−	0.422770i	−0.977403	−	0.211385i	$-0.932203\pi$
$929$		−	12.8858i		−	0.422770i	0.977403	−	0.211385i	$-0.0677974\pi$
$930$	−5.15243	+	8.17547i	−0.168955	+	0.268084i
$931$	15.3952	+	10.6541i	0.504559	+	0.349176i
$932$	−1.17498	−	25.9345i	−0.0384879	−	0.849512i
$933$	−24.0029	+	4.87584i	−0.785819	+	0.159628i
$934$	−18.0316	+	5.27178i	−0.590011	+	0.172498i
$935$	−1.64917	−	0.952147i	−0.0539335	−	0.0311385i
$936$	−6.48147	−	30.8736i	−0.211854	−	1.00914i
$937$		−	26.4369i		−	0.863656i	−0.901956	−	0.431828i	$-0.857869\pi$
$937$		−	26.4369i		−	0.863656i	0.901956	−	0.431828i	$-0.142131\pi$
$938$	3.17032	+	3.28817i	0.103515	+	0.107363i
$939$	−4.74352	−	23.3515i	−0.154799	−	0.762046i
$940$	−6.50020	+	4.15610i	−0.212013	+	0.135557i
$941$	28.0973			0.915946			0.457973	−	0.888966i	$-0.348576\pi$
$941$	28.0973			0.915946			0.457973	+	0.888966i	$0.348576\pi$
$942$	10.4011	+	0.403278i	0.338887	+	0.0131395i
$943$	46.9365			1.52846
$944$	−19.4814	+	13.7366i	−0.634065	+	0.447087i
$945$	3.05220	−	5.76589i	0.0992880	−	0.187565i
$946$	12.2156	+	2.97850i	0.397162	+	0.0968395i
$947$	−35.6142			−1.15731			−0.578653	−	0.815574i	$-0.696421\pi$
$947$	−35.6142			−1.15731			−0.578653	+	0.815574i	$0.696421\pi$
$948$	−15.7409	+	55.1736i	−0.511242	+	1.79195i
$949$		−	25.8047i		−	0.837657i
$950$	−13.0566	−	12.4784i	−0.423611	−	0.404853i
$951$	−7.20118	−	35.4501i	−0.233514	−	1.14955i
$952$	6.91973	−	28.9310i	0.224270	−	0.937659i
$953$	28.0979			0.910181			0.455091	−	0.890445i	$-0.349607\pi$
$953$	28.0979			0.910181			0.455091	+	0.890445i	$0.349607\pi$
$954$	17.1766	+	6.50346i	0.556113	+	0.210557i
$955$	9.78916	+	5.65177i	0.316770	+	0.182887i
$956$	−32.1294	+	1.45565i	−1.03914	+	0.0470791i
$957$	0.785304	+	3.86591i	0.0253853	+	0.124967i
$958$	−3.03798	−	10.3911i	−0.0981527	−	0.335721i
$959$	1.13363	−	27.7133i	0.0366069	−	0.894909i
$960$	−6.46041	−	1.22482i	−0.208509	−	0.0395310i
$961$	38.1154			1.22953
$962$	−9.68304	−	9.25427i	−0.312194	−	0.298370i
$963$	2.04810	+	1.54530i	0.0659990	+	0.0497968i
$964$	−21.3521	+	0.967376i	−0.687705	+	0.0311571i
$965$	−0.866173	+	1.50026i	−0.0278831	+	0.0482949i
$966$	16.6180	+	34.9389i	0.534676	+	1.12414i
$967$	−48.0742	+	27.7557i	−1.54596	+	0.892562i	−0.547519	+	0.836794i	$0.684427\pi$
$967$	−48.0742	+	27.7557i	−1.54596	+	0.892562i	−0.998444	+	0.0557683i	$0.982239\pi$
$968$	−26.7097	+	9.14012i	−0.858481	+	0.293775i
$969$	18.0464	−	3.66587i	0.579734	−	0.117765i
$970$	4.65597	−	1.36124i	0.149494	−	0.0437067i
$971$	22.8186	−	13.1743i	0.732283	−	0.422784i	−0.0869736	−	0.996211i	$-0.527720\pi$
$971$	22.8186	−	13.1743i	0.732283	−	0.422784i	0.819257	+	0.573427i	$0.194386\pi$
$972$	−26.9981	+	15.5917i	−0.865965	+	0.500105i
$973$	41.8814	+	1.71319i	1.34266	+	0.0549223i
$974$	−25.4736	−	24.3456i	−0.816227	−	0.780084i
$975$	9.76504	−	29.1552i	0.312731	−	0.933712i
$976$	−34.4855	−	48.9079i	−1.10385	−	1.56550i
$977$	20.5527			0.657540			0.328770	−	0.944410i	$-0.393366\pi$
$977$	20.5527			0.657540			0.328770	+	0.944410i	$0.393366\pi$
$978$	16.5140	+	31.3486i	0.528058	+	1.00242i
$979$	6.59226	+	3.80604i	0.210689	+	0.121642i
$980$	5.62853	+	3.52951i	0.179797	+	0.112746i
$981$	35.8321	+	4.42175i	1.14403	+	0.141176i
$982$	13.8429	+	47.3481i	0.441745	+	1.51094i
$983$	−11.6805	−	20.2312i	−0.372551	−	0.645277i	0.617407	−	0.786644i	$-0.288183\pi$
$983$	−11.6805	−	20.2312i	−0.372551	−	0.645277i	−0.989957	+	0.141368i	$0.954850\pi$
$984$	−38.5156	+	0.251193i	−1.22783	+	0.00800776i
$985$	3.61736	+	2.08849i	0.115259	+	0.0665447i
$986$	−3.55912	−	12.1736i	−0.113345	−	0.387686i
$987$	−34.8107	−	13.2650i	−1.10804	−	0.422229i
$988$	10.7130	+	16.7553i	0.340826	+	0.533057i
$989$	45.5337	−	26.2889i	1.44789	−	0.835937i
$990$	−2.00596	+	0.327129i	−0.0637534	+	0.0103968i
$991$	−31.4139	−	18.1368i	−0.997897	−	0.576136i	−0.0902713	−	0.995917i	$-0.528773\pi$
$991$	−31.4139	−	18.1368i	−0.997897	−	0.576136i	−0.907625	+	0.419781i	$0.862107\pi$
$992$	17.2247	+	43.7608i	0.546885	+	1.38941i
$993$	1.54059	−	0.312949i	0.0488892	−	0.00993114i
$994$	−13.7691	+	13.2756i	−0.436729	+	0.421076i
$995$	0.299272	+	0.518355i	0.00948757	+	0.0164330i
$996$	−20.1725	−	20.8334i	−0.639191	−	0.660132i
$997$	22.6428	+	39.2184i	0.717104	+	1.24206i	0.962142	+	0.272547i	$0.0878661\pi$
$997$	22.6428	+	39.2184i	0.717104	+	1.24206i	−0.245038	+	0.969513i	$0.578801\pi$
$998$	−9.32846	+	9.76066i	−0.295287	+	0.308968i
$999$	−5.70964	+	11.9425i	−0.180645	+	0.377843i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.bf.b.115.9	✓	180
7.5	odd	6		504.2.cz.b.187.52	yes	180
8.3	odd	2	inner	504.2.bf.b.115.10	yes	180
9.4	even	3		504.2.cz.b.283.68	yes	180
56.19	even	6		504.2.cz.b.187.68	yes	180
63.40	odd	6	inner	504.2.bf.b.355.9	yes	180
72.67	odd	6		504.2.cz.b.283.52	yes	180
504.355	even	6	inner	504.2.bf.b.355.10	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bf.b.115.9	✓	180	1.1	even	1	trivial
504.2.bf.b.115.10	yes	180	8.3	odd	2	inner
504.2.bf.b.355.9	yes	180	63.40	odd	6	inner
504.2.bf.b.355.10	yes	180	504.355	even	6	inner
504.2.cz.b.187.52	yes	180	7.5	odd	6
504.2.cz.b.187.68	yes	180	56.19	even	6
504.2.cz.b.283.52	yes	180	72.67	odd	6
504.2.cz.b.283.68	yes	180	9.4	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.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.37396 - 0.335011i) q^{2} +(-1.69738 + 0.344799i) q^{3} +(1.77554 + 0.920584i) q^{4} +(0.237272 - 0.410968i) q^{5} +(2.44765 + 0.0949016i) q^{6} +(-2.23531 - 1.41542i) q^{7} +(-2.13111 - 1.85967i) q^{8} +(2.76223 - 1.17051i) q^{9} +O(q^{10})\)	\(q+(-1.37396 - 0.335011i) q^{2} +(-1.69738 + 0.344799i) q^{3} +(1.77554 + 0.920584i) q^{4} +(0.237272 - 0.410968i) q^{5} +(2.44765 + 0.0949016i) q^{6} +(-2.23531 - 1.41542i) q^{7} +(-2.13111 - 1.85967i) q^{8} +(2.76223 - 1.17051i) q^{9} +(-0.463682 + 0.485165i) q^{10} +(0.504751 + 0.874254i) q^{11} +(-3.33118 - 0.950381i) q^{12} +(1.85890 + 3.21971i) q^{13} +(2.59704 + 2.69358i) q^{14} +(-0.261041 + 0.779382i) q^{15} +(2.30505 + 3.26906i) q^{16} +(-3.44255 - 1.98756i) q^{17} +(-4.18733 + 0.682864i) q^{18} +(2.31628 - 1.33731i) q^{19} +(0.799616 - 0.511259i) q^{20} +(4.28221 + 1.63178i) q^{21} +(-0.400623 - 1.37029i) q^{22} +(-5.17012 - 2.98497i) q^{23} +(4.25853 + 2.42177i) q^{24} +(2.38740 + 4.13510i) q^{25} +(-1.47542 - 5.04651i) q^{26} +(-4.28497 + 2.93923i) q^{27} +(-2.66585 - 4.57091i) q^{28} +(-1.95387 - 1.12807i) q^{29} +(0.619762 - 0.983389i) q^{30} -8.31357 q^{31} +(-2.07188 - 5.26377i) q^{32} +(-1.15820 - 1.30991i) q^{33} +(4.06407 + 3.88411i) q^{34} +(-1.11207 + 0.582799i) q^{35} +(5.98199 + 0.464572i) q^{36} +(2.20619 - 1.27375i) q^{37} +(-3.63049 + 1.06143i) q^{38} +(-4.26543 - 4.82414i) q^{39} +(-1.26992 + 0.434570i) q^{40} +(-6.80881 + 3.93107i) q^{41} +(-5.33692 - 3.67658i) q^{42} +(-4.40354 + 7.62715i) q^{43} +(0.0913790 + 2.01693i) q^{44} +(0.174357 - 1.41292i) q^{45} +(6.10354 + 5.83328i) q^{46} -8.12915 q^{47} +(-5.03973 - 4.75407i) q^{48} +(2.99318 + 6.32779i) q^{49} +(-1.89489 - 6.48128i) q^{50} +(6.52863 + 2.18666i) q^{51} +(0.336531 + 7.42799i) q^{52} +(-3.74906 - 2.16452i) q^{53} +(6.87205 - 2.60287i) q^{54} +0.479054 q^{55} +(2.13147 + 7.17334i) q^{56} +(-3.47052 + 3.06858i) q^{57} +(2.30662 + 2.20448i) q^{58} +5.95932i q^{59} +(-1.18097 + 1.14351i) q^{60} -14.9608 q^{61} +(11.4225 + 2.78514i) q^{62} +(-7.83119 - 1.29325i) q^{63} +(1.08326 + 7.92632i) q^{64} +1.76427 q^{65} +(1.15249 + 2.18777i) q^{66} +1.22074 q^{67} +(-4.28265 - 6.69813i) q^{68} +(9.80490 + 3.28399i) q^{69} +(1.72318 - 0.428188i) q^{70} +5.11181i q^{71} +(-8.06338 - 2.64233i) q^{72} +(-6.01096 - 3.47043i) q^{73} +(-3.45794 + 1.01098i) q^{74} +(-5.47812 - 6.19569i) q^{75} +(5.34375 - 0.242103i) q^{76} +(0.109163 - 2.66866i) q^{77} +(4.24439 + 8.05715i) q^{78} -16.5628i q^{79} +(1.89040 - 0.171645i) q^{80} +(6.25979 - 6.46645i) q^{81} +(10.6720 - 3.12011i) q^{82} +(7.24984 + 4.18569i) q^{83} +(6.10102 + 6.83941i) q^{84} +(-1.63364 + 0.943185i) q^{85} +(8.60547 - 9.00418i) q^{86} +(3.70542 + 1.24107i) q^{87} +(0.550144 - 2.80180i) q^{88} +(6.53021 - 3.77022i) q^{89} +(-0.712902 + 1.88288i) q^{90} +(0.402028 - 9.82817i) q^{91} +(-6.43182 - 10.0594i) q^{92} +(14.1113 - 2.86651i) q^{93} +(11.1691 + 2.72335i) q^{94} -1.26922i q^{95} +(5.33172 + 8.22026i) q^{96} +(-6.25977 - 3.61408i) q^{97} +(-1.99263 - 9.69688i) q^{98} +(2.41756 + 1.82407i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9}+O(q^{10}) \) 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9	\( 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9} - 8 q^{11} + 12 q^{12} + 10 q^{14} + 14 q^{16} - 18 q^{17} + 8 q^{18} - 6 q^{19} + 36 q^{20} - 16 q^{22} - 12 q^{24} - 78 q^{25} - 6 q^{26} + 16 q^{28} + q^{30} - 26 q^{32} - 36 q^{33} - 12 q^{34} - 12 q^{35} + 2 q^{36} - 27 q^{38} + 24 q^{40} - 42 q^{41} + 22 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} - 9 q^{48} + 2 q^{49} + 15 q^{50} + 9 q^{52} - 51 q^{54} + 14 q^{56} - 26 q^{57} + 19 q^{58} + 37 q^{60} - 8 q^{64} + 24 q^{65} + 6 q^{66} + 28 q^{67} + 12 q^{68} + 27 q^{70} - 28 q^{72} + 18 q^{73} + 49 q^{74} - 18 q^{75} - 12 q^{76} - 33 q^{78} - 63 q^{80} - 22 q^{81} - 54 q^{82} + 6 q^{83} + 31 q^{84} - 13 q^{86} + 29 q^{88} - 66 q^{89} - 51 q^{90} + 2 q^{91} - 60 q^{92} - 45 q^{96} - 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) \) 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9 - 8 * q^11 + 12 * q^12 + 10 * q^14 + 14 * q^16 - 18 * q^17 + 8 * q^18 - 6 * q^19 + 36 * q^20 - 16 * q^22 - 12 * q^24 - 78 * q^25 - 6 * q^26 + 16 * q^28 + q^30 - 26 * q^32 - 36 * q^33 - 12 * q^34 - 12 * q^35 + 2 * q^36 - 27 * q^38 + 24 * q^40 - 42 * q^41 + 22 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 - 9 * q^48 + 2 * q^49 + 15 * q^50 + 9 * q^52 - 51 * q^54 + 14 * q^56 - 26 * q^57 + 19 * q^58 + 37 * q^60 - 8 * q^64 + 24 * q^65 + 6 * q^66 + 28 * q^67 + 12 * q^68 + 27 * q^70 - 28 * q^72 + 18 * q^73 + 49 * q^74 - 18 * q^75 - 12 * q^76 - 33 * q^78 - 63 * q^80 - 22 * q^81 - 54 * q^82 + 6 * q^83 + 31 * q^84 - 13 * q^86 + 29 * q^88 - 66 * q^89 - 51 * q^90 + 2 * q^91 - 60 * q^92 - 45 * q^96 - 6 * q^97 + 31 * q^98 + 4 * q^99

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