LMFDB - Embedded newform 525.2.n.b.421.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(106,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 4, 0]))

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

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

chi := DirichletCharacter("525.106");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.n (of order $5$, degree $4$, 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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - 8 x^{19} + 31 x^{18} - 74 x^{17} + 109 x^{16} - 72 x^{15} - 51 x^{14} + 9 x^{13} + 866 x^{12} + \cdots + 3125 $ x^20 - 8x^19 + 31x^18 - 74x^17 + 109x^16 - 72x^15 - 51x^14 + 9x^13 + 866x^12 - 3240x^11 + 6385x^10 - 6775x^9 + 330x^8 + 11325x^7 - 18525x^6 + 12000x^5 + 5875x^4 - 21250x^3 + 22500x^2 - 12500*x + 3125
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			421.3
Root			$0.891061 + 0.766796i$ of defining polynomial
Character	$\chi$	$=$	525.421
Dual form			525.2.n.b.106.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.179936 + 0.553787i) q^{2} +(0.809017 + 0.587785i) q^{3} +(1.34373 + 0.976277i) q^{4} +(2.17621 - 0.513897i) q^{5} +(-0.471080 + 0.342259i) q^{6} -1.00000 q^{7} +(-1.72460 + 1.25299i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(-0.179936 + 0.553787i) q^{2} +(0.809017 + 0.587785i) q^{3} +(1.34373 + 0.976277i) q^{4} +(2.17621 - 0.513897i) q^{5} +(-0.471080 + 0.342259i) q^{6} -1.00000 q^{7} +(-1.72460 + 1.25299i) q^{8} +(0.309017 + 0.951057i) q^{9} +(-0.106991 + 1.29763i) q^{10} +(-0.434975 + 1.33872i) q^{11} +(0.513259 + 1.57965i) q^{12} +(0.370332 + 1.13976i) q^{13} +(0.179936 - 0.553787i) q^{14} +(2.06266 + 0.863395i) q^{15} +(0.642945 + 1.97878i) q^{16} +(1.94750 - 1.41495i) q^{17} -0.582287 q^{18} +(-4.65149 + 3.37951i) q^{19} +(3.42595 + 1.43405i) q^{20} +(-0.809017 - 0.587785i) q^{21} +(-0.663097 - 0.481768i) q^{22} +(2.63493 - 8.10949i) q^{23} -2.13172 q^{24} +(4.47182 - 2.23670i) q^{25} -0.697824 q^{26} +(-0.309017 + 0.951057i) q^{27} +(-1.34373 - 0.976277i) q^{28} +(4.58973 + 3.33464i) q^{29} +(-0.849285 + 0.986917i) q^{30} +(-0.996035 + 0.723662i) q^{31} -5.47495 q^{32} +(-1.13878 + 0.827372i) q^{33} +(0.433152 + 1.33310i) q^{34} +(-2.17621 + 0.513897i) q^{35} +(-0.513259 + 1.57965i) q^{36} +(-2.24821 - 6.91928i) q^{37} +(-1.03456 - 3.18404i) q^{38} +(-0.370332 + 1.13976i) q^{39} +(-3.10918 + 3.61304i) q^{40} +(-2.19375 - 6.75165i) q^{41} +(0.471080 - 0.342259i) q^{42} +1.10761 q^{43} +(-1.89145 + 1.37422i) q^{44} +(1.16123 + 1.91090i) q^{45} +(4.01681 + 2.91838i) q^{46} +(-1.99796 - 1.45160i) q^{47} +(-0.642945 + 1.97878i) q^{48} +1.00000 q^{49} +(0.434013 + 2.87890i) q^{50} +2.40725 q^{51} +(-0.615100 + 1.89308i) q^{52} +(8.49744 + 6.17375i) q^{53} +(-0.471080 - 0.342259i) q^{54} +(-0.258637 + 3.13687i) q^{55} +(1.72460 - 1.25299i) q^{56} -5.74956 q^{57} +(-2.67254 + 1.94171i) q^{58} +(-1.57640 - 4.85166i) q^{59} +(1.92874 + 3.17389i) q^{60} +(-4.56355 + 14.0452i) q^{61} +(-0.221532 - 0.681805i) q^{62} +(-0.309017 - 0.951057i) q^{63} +(-0.300747 + 0.925604i) q^{64} +(1.39164 + 2.29006i) q^{65} +(-0.253280 - 0.779517i) q^{66} +(-7.84189 + 5.69747i) q^{67} +3.99830 q^{68} +(6.89834 - 5.01194i) q^{69} +(0.106991 - 1.29763i) q^{70} +(-5.43582 - 3.94936i) q^{71} +(-1.72460 - 1.25299i) q^{72} +(2.01672 - 6.20682i) q^{73} +4.23635 q^{74} +(4.93248 + 0.818941i) q^{75} -9.54969 q^{76} +(0.434975 - 1.33872i) q^{77} +(-0.564551 - 0.410170i) q^{78} +(1.77104 + 1.28674i) q^{79} +(2.41608 + 3.97585i) q^{80} +(-0.809017 + 0.587785i) q^{81} +4.13372 q^{82} +(10.8177 - 7.85955i) q^{83} +(-0.513259 - 1.57965i) q^{84} +(3.51105 - 4.08004i) q^{85} +(-0.199299 + 0.613380i) q^{86} +(1.75312 + 5.39556i) q^{87} +(-0.927245 - 2.85377i) q^{88} +(5.52922 - 17.0172i) q^{89} +(-1.26718 + 0.299235i) q^{90} +(-0.370332 - 1.13976i) q^{91} +(11.4577 - 8.32454i) q^{92} -1.23117 q^{93} +(1.16339 - 0.845249i) q^{94} +(-8.38593 + 9.74493i) q^{95} +(-4.42933 - 3.21809i) q^{96} +(-11.0574 - 8.03368i) q^{97} +(-0.179936 + 0.553787i) q^{98} -1.40761 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) $ 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9} - 15 q^{10} + 12 q^{11} + 5 q^{12} - 17 q^{13} + 2 q^{14} + 15 q^{15} - 28 q^{16} - 9 q^{17} - 2 q^{18} - 9 q^{19} - 20 q^{20} - 5 q^{21} - 21 q^{22} + 7 q^{23} + 6 q^{24} - 15 q^{25} - 20 q^{26} + 5 q^{27} + 28 q^{29} + 6 q^{31} - 4 q^{32} + 3 q^{33} - 5 q^{35} - 5 q^{36} - 5 q^{37} - 6 q^{38} + 17 q^{39} - 10 q^{40} + 11 q^{41} + 3 q^{42} + 28 q^{43} - 17 q^{44} + 5 q^{45} - 43 q^{46} - 24 q^{47} + 28 q^{48} + 20 q^{49} + 10 q^{50} - 36 q^{51} - 9 q^{52} - 26 q^{53} - 3 q^{54} - 25 q^{55} - 4 q^{56} + 24 q^{57} - 16 q^{58} + 64 q^{59} + 5 q^{60} + 8 q^{61} + 27 q^{62} + 5 q^{63} + 26 q^{64} + 25 q^{65} - 4 q^{66} - 3 q^{67} + 80 q^{68} - 2 q^{69} + 15 q^{70} + 19 q^{71} + 4 q^{72} + 31 q^{73} + 8 q^{74} - 5 q^{75} - 72 q^{76} - 12 q^{77} - 30 q^{78} + 43 q^{79} - 25 q^{80} - 5 q^{81} - 6 q^{82} + 32 q^{83} - 5 q^{84} + 35 q^{85} + 53 q^{86} + 17 q^{87} - 61 q^{88} - 47 q^{89} + 10 q^{90} + 17 q^{91} + 41 q^{92} + 4 q^{93} + 12 q^{94} - 40 q^{95} - 6 q^{96} - 45 q^{97} - 2 q^{98} - 18 q^{99}+O(q^{100}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9 - 15 * q^10 + 12 * q^11 + 5 * q^12 - 17 * q^13 + 2 * q^14 + 15 * q^15 - 28 * q^16 - 9 * q^17 - 2 * q^18 - 9 * q^19 - 20 * q^20 - 5 * q^21 - 21 * q^22 + 7 * q^23 + 6 * q^24 - 15 * q^25 - 20 * q^26 + 5 * q^27 + 28 * q^29 + 6 * q^31 - 4 * q^32 + 3 * q^33 - 5 * q^35 - 5 * q^36 - 5 * q^37 - 6 * q^38 + 17 * q^39 - 10 * q^40 + 11 * q^41 + 3 * q^42 + 28 * q^43 - 17 * q^44 + 5 * q^45 - 43 * q^46 - 24 * q^47 + 28 * q^48 + 20 * q^49 + 10 * q^50 - 36 * q^51 - 9 * q^52 - 26 * q^53 - 3 * q^54 - 25 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 + 64 * q^59 + 5 * q^60 + 8 * q^61 + 27 * q^62 + 5 * q^63 + 26 * q^64 + 25 * q^65 - 4 * q^66 - 3 * q^67 + 80 * q^68 - 2 * q^69 + 15 * q^70 + 19 * q^71 + 4 * q^72 + 31 * q^73 + 8 * q^74 - 5 * q^75 - 72 * q^76 - 12 * q^77 - 30 * q^78 + 43 * q^79 - 25 * q^80 - 5 * q^81 - 6 * q^82 + 32 * q^83 - 5 * q^84 + 35 * q^85 + 53 * q^86 + 17 * q^87 - 61 * q^88 - 47 * q^89 + 10 * q^90 + 17 * q^91 + 41 * q^92 + 4 * q^93 + 12 * q^94 - 40 * q^95 - 6 * q^96 - 45 * q^97 - 2 * q^98 - 18 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{3}{5}\right)$	$1$	$1$

Coefficient data

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

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

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

$2$	−0.179936	+	0.553787i	−0.127234	+	0.391587i	−0.994302	−	0.106604i	$-0.966002\pi$
$2$	−0.179936	+	0.553787i	−0.127234	+	0.391587i	0.867067	+	0.498191i	$0.166002\pi$
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$4$	1.34373	+	0.976277i	0.671865	+	0.488139i
$5$	2.17621	−	0.513897i	0.973233	−	0.229822i
$5$	2.17621	−	0.513897i	0.973233	−	0.229822i
$6$	−0.471080	+	0.342259i	−0.192318	+	0.139727i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	−1.72460	+	1.25299i	−0.609737	+	0.443000i
$9$	0.309017	+	0.951057i	0.103006	+	0.317019i
$10$	−0.106991	+	1.29763i	−0.0338334	+	0.410346i
$11$	−0.434975	+	1.33872i	−0.131150	+	0.403638i	−0.994971	−	0.100160i	$-0.968065\pi$
$11$	−0.434975	+	1.33872i	−0.131150	+	0.403638i	0.863821	+	0.503798i	$0.168065\pi$
$12$	0.513259	+	1.57965i	0.148165	+	0.456006i
$13$	0.370332	+	1.13976i	0.102712	+	0.316114i	0.989187	−	0.146663i	$-0.0468532\pi$
$13$	0.370332	+	1.13976i	0.102712	+	0.316114i	−0.886475	+	0.462777i	$0.846853\pi$
$14$	0.179936	−	0.553787i	0.0480900	−	0.148006i
$15$	2.06266	+	0.863395i	0.532575	+	0.222928i
$16$	0.642945	+	1.97878i	0.160736	+	0.494695i
$17$	1.94750	−	1.41495i	0.472339	−	0.343175i	−0.326013	−	0.945365i	$-0.605705\pi$
$17$	1.94750	−	1.41495i	0.472339	−	0.343175i	0.798352	+	0.602191i	$0.205705\pi$
$18$	−0.582287			−0.137246
$19$	−4.65149	+	3.37951i	−1.06713	+	0.775312i	−0.975393	−	0.220471i	$-0.929240\pi$
$19$	−4.65149	+	3.37951i	−1.06713	+	0.775312i	−0.0917326	+	0.995784i	$0.529240\pi$
$20$	3.42595	+	1.43405i	0.766066	+	0.320663i
$21$	−0.809017	−	0.587785i	−0.176542	−	0.128265i
$22$	−0.663097	−	0.481768i	−0.141373	−	0.102713i
$23$	2.63493	−	8.10949i	0.549421	−	1.69094i	−0.160818	−	0.986984i	$-0.551413\pi$
$23$	2.63493	−	8.10949i	0.549421	−	1.69094i	0.710239	−	0.703961i	$-0.248587\pi$
$24$	−2.13172			−0.435135
$25$	4.47182	−	2.23670i	0.894364	−	0.447340i
$26$	−0.697824			−0.136854
$27$	−0.309017	+	0.951057i	−0.0594703	+	0.183031i
$28$	−1.34373	−	0.976277i	−0.253941	−	0.184499i
$29$	4.58973	+	3.33464i	0.852292	+	0.619226i	0.925777	−	0.378070i	$-0.123412\pi$
$29$	4.58973	+	3.33464i	0.852292	+	0.619226i	−0.0734850	+	0.997296i	$0.523412\pi$
$30$	−0.849285	+	0.986917i	−0.155057	+	0.180185i
$31$	−0.996035	+	0.723662i	−0.178893	+	0.129974i	−0.673628	−	0.739070i	$-0.735265\pi$
$31$	−0.996035	+	0.723662i	−0.178893	+	0.129974i	0.494735	+	0.869044i	$0.335265\pi$
$32$	−5.47495			−0.967843
$33$	−1.13878	+	0.827372i	−0.198236	+	0.144027i
$34$	0.433152	+	1.33310i	0.0742849	+	0.228625i
$35$	−2.17621	+	0.513897i	−0.367847	+	0.0868645i
$36$	−0.513259	+	1.57965i	−0.0855432	+	0.263275i
$37$	−2.24821	−	6.91928i	−0.369604	−	1.13752i	−0.947048	−	0.321093i	$-0.895950\pi$
$37$	−2.24821	−	6.91928i	−0.369604	−	1.13752i	0.577444	−	0.816430i	$-0.304050\pi$
$38$	−1.03456	−	3.18404i	−0.167827	−	0.516519i
$39$	−0.370332	+	1.13976i	−0.0593006	+	0.182508i
$40$	−3.10918	+	3.61304i	−0.491605	+	0.571273i
$41$	−2.19375	−	6.75165i	−0.342605	−	1.05443i	−0.962853	−	0.270025i	$-0.912968\pi$
$41$	−2.19375	−	6.75165i	−0.342605	−	1.05443i	0.620248	−	0.784406i	$-0.287032\pi$
$42$	0.471080	−	0.342259i	0.0726892	−	0.0528118i
$43$	1.10761			0.168909			0.0844544	−	0.996427i	$-0.473085\pi$
$43$	1.10761			0.168909			0.0844544	+	0.996427i	$0.473085\pi$
$44$	−1.89145	+	1.37422i	−0.285147	+	0.207171i
$45$	1.16123	+	1.91090i	0.173106	+	0.284860i
$46$	4.01681	+	2.91838i	0.592247	+	0.430292i
$47$	−1.99796	−	1.45160i	−0.291432	−	0.211738i	0.432456	−	0.901655i	$-0.357647\pi$
$47$	−1.99796	−	1.45160i	−0.291432	−	0.211738i	−0.723889	+	0.689917i	$0.757647\pi$
$48$	−0.642945	+	1.97878i	−0.0928011	+	0.285612i
$49$	1.00000			0.142857
$50$	0.434013	+	2.87890i	0.0613787	+	0.407138i
$51$	2.40725			0.337082
$52$	−0.615100	+	1.89308i	−0.0852990	+	0.262523i
$53$	8.49744	+	6.17375i	1.16721	+	0.848030i	0.990673	−	0.136264i	$-0.0435094\pi$
$53$	8.49744	+	6.17375i	1.16721	+	0.848030i	0.176540	+	0.984293i	$0.443509\pi$
$54$	−0.471080	−	0.342259i	−0.0641058	−	0.0465756i
$55$	−0.258637	+	3.13687i	−0.0348747	+	0.422975i
$56$	1.72460	−	1.25299i	0.230459	−	0.167438i
$57$	−5.74956			−0.761548
$58$	−2.67254	+	1.94171i	−0.350922	+	0.254960i
$59$	−1.57640	−	4.85166i	−0.205230	−	0.631633i	−0.999704	−	0.0243345i	$-0.992253\pi$
$59$	−1.57640	−	4.85166i	−0.205230	−	0.631633i	0.794474	−	0.607298i	$-0.207747\pi$
$60$	1.92874	+	3.17389i	0.248999	+	0.409748i
$61$	−4.56355	+	14.0452i	−0.584302	+	1.79830i	0.0177510	+	0.999842i	$0.494349\pi$
$61$	−4.56355	+	14.0452i	−0.584302	+	1.79830i	−0.602054	+	0.798456i	$0.705651\pi$
$62$	−0.221532	−	0.681805i	−0.0281346	−	0.0865893i
$63$	−0.309017	−	0.951057i	−0.0389325	−	0.119822i
$64$	−0.300747	+	0.925604i	−0.0375934	+	0.115701i
$65$	1.39164	+	2.29006i	0.172612	+	0.284047i
$66$	−0.253280	−	0.779517i	−0.0311767	−	0.0959519i
$67$	−7.84189	+	5.69747i	−0.958040	+	0.696056i	−0.952695	−	0.303929i	$-0.901701\pi$
$67$	−7.84189	+	5.69747i	−0.958040	+	0.696056i	−0.00534493	+	0.999986i	$0.501701\pi$
$68$	3.99830			0.484865
$69$	6.89834	−	5.01194i	0.830463	−	0.603366i
$70$	0.106991	−	1.29763i	0.0127878	−	0.155096i
$71$	−5.43582	−	3.94936i	−0.645113	−	0.468702i	0.216490	−	0.976285i	$-0.430539\pi$
$71$	−5.43582	−	3.94936i	−0.645113	−	0.468702i	−0.861603	+	0.507583i	$0.830539\pi$
$72$	−1.72460	−	1.25299i	−0.203246	−	0.147667i
$73$	2.01672	−	6.20682i	0.236039	−	0.726453i	−0.760943	−	0.648819i	$-0.775263\pi$
$73$	2.01672	−	6.20682i	0.236039	−	0.726453i	0.996982	−	0.0776342i	$-0.0247366\pi$
$74$	4.23635			0.492465
$75$	4.93248	+	0.818941i	0.569553	+	0.0945632i
$76$	−9.54969			−1.09542
$77$	0.434975	−	1.33872i	0.0495700	−	0.152561i
$78$	−0.564551	−	0.410170i	−0.0639228	−	0.0464427i
$79$	1.77104	+	1.28674i	0.199258	+	0.144769i	0.682940	−	0.730474i	$-0.260701\pi$
$79$	1.77104	+	1.28674i	0.199258	+	0.144769i	−0.483682	+	0.875244i	$0.660701\pi$
$80$	2.41608	+	3.97585i	0.270126	+	0.444513i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	4.13372			0.456493
$83$	10.8177	−	7.85955i	1.18740	−	0.862698i	0.194415	−	0.980919i	$-0.437719\pi$
$83$	10.8177	−	7.85955i	1.18740	−	0.862698i	0.992987	+	0.118221i	$0.0377192\pi$
$84$	−0.513259	−	1.57965i	−0.0560012	−	0.172354i
$85$	3.51105	−	4.08004i	0.380827	−	0.442543i
$86$	−0.199299	+	0.613380i	−0.0214910	+	0.0661424i
$87$	1.75312	+	5.39556i	0.187954	+	0.578464i
$88$	−0.927245	−	2.85377i	−0.0988446	−	0.304212i
$89$	5.52922	−	17.0172i	0.586096	−	1.80382i	−0.00872944	−	0.999962i	$-0.502779\pi$
$89$	5.52922	−	17.0172i	0.586096	−	1.80382i	0.594825	−	0.803855i	$-0.297221\pi$
$90$	−1.26718	+	0.299235i	−0.133573	+	0.0315422i
$91$	−0.370332	−	1.13976i	−0.0388213	−	0.119480i
$92$	11.4577	−	8.32454i	1.19455	−	0.867893i
$93$	−1.23117			−0.127666
$94$	1.16339	−	0.845249i	0.119994	−	0.0871808i
$95$	−8.38593	+	9.74493i	−0.860378	+	0.999808i
$96$	−4.42933	−	3.21809i	−0.452066	−	0.328445i
$97$	−11.0574	−	8.03368i	−1.12271	−	0.815697i	−0.138092	−	0.990419i	$-0.544097\pi$
$97$	−11.0574	−	8.03368i	−1.12271	−	0.815697i	−0.984618	+	0.174723i	$0.944097\pi$
$98$	−0.179936	+	0.553787i	−0.0181763	+	0.0559410i
$99$	−1.40761			−0.141470
$100$	8.19256	+	1.36021i	0.819256	+	0.136021i
$101$	−3.68470			−0.366642			−0.183321	−	0.983053i	$-0.558685\pi$
$101$	−3.68470			−0.366642			−0.183321	+	0.983053i	$0.558685\pi$
$102$	−0.433152	+	1.33310i	−0.0428884	+	0.131997i
$103$	−5.51849	−	4.00942i	−0.543753	−	0.395060i	0.281724	−	0.959495i	$-0.409094\pi$
$103$	−5.51849	−	4.00942i	−0.543753	−	0.395060i	−0.825477	+	0.564436i	$0.809094\pi$
$104$	−2.06679	−	1.50161i	−0.202665	−	0.147245i
$105$	−2.06266	−	0.863395i	−0.201295	−	0.0842588i
$106$	−4.94794	+	3.59489i	−0.480587	+	0.349167i
$107$	−4.07387			−0.393836			−0.196918	−	0.980420i	$-0.563093\pi$
$107$	−4.07387			−0.393836			−0.196918	+	0.980420i	$0.563093\pi$
$108$	−1.34373	+	0.976277i	−0.129301	+	0.0939423i
$109$	2.87007	+	8.83315i	0.274902	+	0.846063i	0.989245	+	0.146267i	$0.0467257\pi$
$109$	2.87007	+	8.83315i	0.274902	+	0.846063i	−0.714343	+	0.699796i	$0.753274\pi$
$110$	−1.69062	−	0.707667i	−0.161194	−	0.0674734i
$111$	2.24821	−	6.91928i	0.213391	−	0.656749i
$112$	−0.642945	−	1.97878i	−0.0607526	−	0.186977i
$113$	−4.19985	−	12.9258i	−0.395089	−	1.21596i	−0.928892	−	0.370350i	$-0.879238\pi$
$113$	−4.19985	−	12.9258i	−0.395089	−	1.21596i	0.533803	−	0.845609i	$-0.320762\pi$
$114$	1.03456	−	3.18404i	0.0968951	−	0.298212i
$115$	1.56674	−	19.0021i	0.146099	−	1.77195i
$116$	2.91183	+	8.96171i	0.270357	+	0.832074i
$117$	−0.969542	+	0.704413i	−0.0896342	+	0.0651230i
$118$	2.97044			0.273451
$119$	−1.94750	+	1.41495i	−0.178527	+	0.129708i
$120$	−4.63908	+	1.09548i	−0.423488	+	0.100003i
$121$	7.29623	+	5.30102i	0.663293	+	0.481911i
$122$	−6.95688	−	5.05447i	−0.629847	−	0.457610i
$123$	2.19375	−	6.75165i	0.197803	−	0.608776i
$124$	−2.04490			−0.183637
$125$	8.58221	−	7.16559i	0.767616	−	0.640910i
$126$	0.582287			0.0518742
$127$	5.43480	−	16.7266i	0.482260	−	1.48425i	−0.353649	−	0.935378i	$-0.615059\pi$
$127$	5.43480	−	16.7266i	0.482260	−	1.48425i	0.835910	−	0.548867i	$-0.184941\pi$
$128$	−9.31713	−	6.76929i	−0.823525	−	0.598326i
$129$	0.896074	+	0.651036i	0.0788949	+	0.0573205i
$130$	−1.51861	+	0.358609i	−0.133191	+	0.0314521i
$131$	−7.30747	+	5.30919i	−0.638457	+	0.463866i	−0.859320	−	0.511439i	$-0.829113\pi$
$131$	−7.30747	+	5.30919i	−0.638457	+	0.463866i	0.220863	+	0.975305i	$0.429113\pi$
$132$	−2.33796			−0.203493
$133$	4.65149	−	3.37951i	0.403336	−	0.293041i
$134$	−1.74414	−	5.36792i	−0.150671	−	0.463718i
$135$	−0.183742	+	2.22851i	−0.0158140	+	0.191799i
$136$	−1.58574	+	4.88042i	−0.135976	+	0.418492i
$137$	4.60359	+	14.1684i	0.393311	+	1.21049i	0.930269	+	0.366878i	$0.119573\pi$
$137$	4.60359	+	14.1684i	0.393311	+	1.21049i	−0.536958	+	0.843609i	$0.680427\pi$
$138$	1.53429	+	4.72205i	0.130607	+	0.401967i
$139$	2.55103	−	7.85127i	0.216376	−	0.665936i	−0.782677	−	0.622428i	$-0.786147\pi$
$139$	2.55103	−	7.85127i	0.216376	−	0.665936i	0.999053	−	0.0435082i	$-0.0138535\pi$
$140$	−3.42595	−	1.43405i	−0.289546	−	0.121199i
$141$	−0.763153	−	2.34874i	−0.0642690	−	0.197800i
$142$	3.16521	−	2.29966i	0.265618	−	0.192983i
$143$	−1.68691			−0.141066
$144$	−1.68325	+	1.22295i	−0.140271	+	0.101913i
$145$	11.7019	+	4.89823i	0.971790	+	0.406776i
$146$	3.07438	+	2.23367i	0.254437	+	0.184859i
$147$	0.809017	+	0.587785i	0.0667266	+	0.0484797i
$148$	3.73415	−	11.4925i	0.306945	−	0.944680i
$149$	5.82222			0.476975			0.238488	−	0.971146i	$-0.423348\pi$
$149$	5.82222			0.476975			0.238488	+	0.971146i	$0.423348\pi$
$150$	−1.34105	+	2.58419i	−0.109496	+	0.210998i
$151$	−9.86782			−0.803032			−0.401516	−	0.915852i	$-0.631517\pi$
$151$	−9.86782			−0.803032			−0.401516	+	0.915852i	$0.631517\pi$
$152$	3.78745	−	11.6566i	0.307203	−	0.945473i
$153$	1.94750	+	1.41495i	0.157446	+	0.114392i
$154$	0.663097	+	0.481768i	0.0534338	+	0.0388220i
$155$	−1.79570	+	2.08670i	−0.144234	+	0.167608i
$156$	−1.61035	+	1.16999i	−0.128931	+	0.0936741i
$157$	−19.1303			−1.52677			−0.763383	−	0.645946i	$-0.776463\pi$
$157$	−19.1303			−1.52677			−0.763383	+	0.645946i	$0.776463\pi$
$158$	−1.03126	+	0.749251i	−0.0820423	+	0.0596072i
$159$	3.24573	+	9.98934i	0.257403	+	0.792206i
$160$	−11.9147	+	2.81356i	−0.941937	+	0.222431i
$161$	−2.63493	+	8.10949i	−0.207662	+	0.639117i
$162$	−0.179936	−	0.553787i	−0.0141371	−	0.0435097i
$163$	3.31808	+	10.2120i	0.259892	+	0.799865i	0.992826	+	0.119565i	$0.0381501\pi$
$163$	3.31808	+	10.2120i	0.259892	+	0.799865i	−0.732935	+	0.680299i	$0.761850\pi$
$164$	3.64368	−	11.2141i	0.284524	−	0.875675i
$165$	−2.05305	+	2.38576i	−0.159829	+	0.185731i
$166$	2.40602	+	7.40495i	0.186743	+	0.574736i
$167$	−6.00704	+	4.36437i	−0.464838	+	0.337725i	−0.795426	−	0.606050i	$-0.792753\pi$
$167$	−6.00704	+	4.36437i	−0.464838	+	0.337725i	0.330588	+	0.943775i	$0.392753\pi$
$168$	2.13172			0.164466
$169$	9.35530	−	6.79703i	0.719639	−	0.522848i
$170$	1.62771	+	2.67853i	0.124840	+	0.205433i
$171$	−4.65149	−	3.37951i	−0.355709	−	0.258437i
$172$	1.48833	+	1.08133i	0.113484	+	0.0824509i
$173$	−1.79369	+	5.52040i	−0.136372	+	0.419709i	−0.995801	−	0.0915461i	$-0.970819\pi$
$173$	−1.79369	+	5.52040i	−0.136372	+	0.419709i	0.859429	+	0.511255i	$0.170819\pi$
$174$	−3.30344			−0.250433
$175$	−4.47182	+	2.23670i	−0.338038	+	0.169079i
$176$	−2.92869			−0.220759
$177$	1.57640	−	4.85166i	0.118490	−	0.364673i
$178$	8.42899	+	6.12402i	0.631780	+	0.459015i
$179$	4.71982	+	3.42915i	0.352776	+	0.256307i	0.750033	−	0.661401i	$-0.230038\pi$
$179$	4.71982	+	3.42915i	0.352776	+	0.256307i	−0.397257	+	0.917708i	$0.630038\pi$
$180$	−0.305185	+	3.70142i	−0.0227472	+	0.275888i
$181$	14.2016	−	10.3181i	1.05560	−	0.766935i	0.0823275	−	0.996605i	$-0.473765\pi$
$181$	14.2016	−	10.3181i	1.05560	−	0.766935i	0.973269	+	0.229670i	$0.0737646\pi$
$182$	0.697824			0.0517261
$183$	−11.9475	+	8.68038i	−0.883186	+	0.641673i
$184$	5.61693	+	17.2871i	0.414086	+	1.27442i
$185$	−8.44839	−	13.9025i	−0.621138	−	1.02213i
$186$	0.221532	−	0.681805i	0.0162435	−	0.0499924i
$187$	1.04709	+	3.22262i	0.0765711	+	0.235662i
$188$	−1.26755	−	3.90113i	−0.0924458	−	0.284519i
$189$	0.309017	−	0.951057i	0.0224777	−	0.0691792i
$190$	−3.88768	−	6.39749i	−0.282042	−	0.464123i
$191$	0.225690	+	0.694602i	0.0163303	+	0.0502596i	0.958890	−	0.283779i	$-0.0915883\pi$
$191$	0.225690	+	0.694602i	0.0163303	+	0.0502596i	−0.942559	+	0.334039i	$0.891588\pi$
$192$	−0.787366	+	0.572055i	−0.0568232	+	0.0412845i
$193$	13.5246			0.973522			0.486761	−	0.873535i	$-0.338178\pi$
$193$	13.5246			0.973522			0.486761	+	0.873535i	$0.338178\pi$
$194$	6.43858	−	4.67790i	0.462263	−	0.335854i
$195$	−0.220200	+	2.67068i	−0.0157689	+	0.191252i
$196$	1.34373	+	0.976277i	0.0959808	+	0.0697341i
$197$	−1.34407	−	0.976523i	−0.0957609	−	0.0695744i	0.538874	−	0.842386i	$-0.318850\pi$
$197$	−1.34407	−	0.976523i	−0.0957609	−	0.0695744i	−0.634635	+	0.772812i	$0.718850\pi$
$198$	0.253280	−	0.779517i	0.0179999	−	0.0553978i
$199$	18.2664			1.29487			0.647437	−	0.762119i	$-0.275841\pi$
$199$	18.2664			1.29487			0.647437	+	0.762119i	$0.275841\pi$
$200$	−4.90951	+	9.46056i	−0.347155	+	0.668963i
$201$	−9.69311			−0.683699
$202$	0.663013	−	2.04054i	0.0466494	−	0.143572i
$203$	−4.58973	−	3.33464i	−0.322136	−	0.234046i
$204$	3.23469	+	2.35014i	0.226474	+	0.164543i
$205$	−8.24372	−	13.5657i	−0.575766	−	0.947469i
$206$	3.21334	−	2.33463i	0.223884	−	0.162661i
$207$	8.52682			0.592655
$208$	−2.01724	+	1.46561i	−0.139871	+	0.101622i
$209$	−2.50092	−	7.69704i	−0.172992	−	0.532415i
$210$	0.849285	−	0.986917i	0.0586062	−	0.0681037i
$211$	−5.58761	+	17.1969i	−0.384667	+	1.18388i	0.552055	+	0.833808i	$0.313844\pi$
$211$	−5.58761	+	17.1969i	−0.384667	+	1.18388i	−0.936722	+	0.350075i	$0.886156\pi$
$212$	5.39097	+	16.5917i	0.370254	+	1.13952i
$213$	−2.07630	−	6.39019i	−0.142266	−	0.437849i
$214$	0.733037	−	2.25606i	0.0501094	−	0.154221i
$215$	2.41039	−	0.569197i	0.164387	−	0.0388189i
$216$	−0.658737	−	2.02738i	−0.0448214	−	0.137946i
$217$	0.996035	−	0.723662i	0.0676153	−	0.0491254i
$218$	−5.40812			−0.366284
$219$	5.27983	−	3.83602i	0.356778	−	0.259214i
$220$	−3.40999	+	3.96260i	−0.229902	+	0.267159i
$221$	2.33393	+	1.69570i	0.156997	+	0.114065i
$222$	3.42728	+	2.49006i	0.230024	+	0.167122i
$223$	4.53629	−	13.9613i	0.303772	−	0.934915i	−0.676360	−	0.736571i	$-0.736444\pi$
$223$	4.53629	−	13.9613i	0.303772	−	0.934915i	0.980132	−	0.198344i	$-0.0635564\pi$
$224$	5.47495			0.365810
$225$	3.50910	+	3.56177i	0.233940	+	0.237452i
$226$	7.91387			0.526423
$227$	−3.59246	+	11.0565i	−0.238440	+	0.733843i	0.758206	+	0.652015i	$0.226076\pi$
$227$	−3.59246	+	11.0565i	−0.238440	+	0.733843i	−0.996646	+	0.0818283i	$0.973924\pi$
$228$	−7.72586	−	5.61317i	−0.511658	−	0.371741i
$229$	−1.25902	−	0.914735i	−0.0831987	−	0.0604474i	0.545408	−	0.838170i	$-0.316375\pi$
$229$	−1.25902	−	0.914735i	−0.0831987	−	0.0604474i	−0.628607	+	0.777723i	$0.716375\pi$
$230$	10.2412	+	4.28680i	0.675284	+	0.282663i
$231$	1.13878	−	0.827372i	0.0749262	−	0.0544371i
$232$	−12.0937			−0.793991
$233$	−15.8910	+	11.5455i	−1.04105	+	0.756370i	−0.970491	−	0.241138i	$-0.922479\pi$
$233$	−15.8910	+	11.5455i	−1.04105	+	0.756370i	−0.0705626	+	0.997507i	$0.522479\pi$
$234$	−0.215639	−	0.663670i	−0.0140968	−	0.0433854i
$235$	−5.09396	−	2.13225i	−0.332294	−	0.139093i
$236$	2.61831	−	8.05833i	0.170438	−	0.524553i
$237$	0.676479	+	2.08199i	0.0439420	+	0.135240i
$238$	−0.433152	−	1.33310i	−0.0280771	−	0.0864123i
$239$	−3.08480	+	9.49404i	−0.199539	+	0.614118i	0.800354	+	0.599527i	$0.204645\pi$
$239$	−3.08480	+	9.49404i	−0.199539	+	0.614118i	−0.999894	+	0.0145912i	$0.995355\pi$
$240$	−0.382297	+	4.63666i	−0.0246771	+	0.299295i
$241$	1.39809	+	4.30289i	0.0900591	+	0.277173i	0.985935	−	0.167132i	$-0.0534506\pi$
$241$	1.39809	+	4.30289i	0.0900591	+	0.277173i	−0.895875	+	0.444305i	$0.853451\pi$
$242$	−4.24850	+	3.08671i	−0.273104	+	0.198421i
$243$	−1.00000			−0.0641500
$244$	−19.8441	+	14.4176i	−1.27039	+	0.922993i
$245$	2.17621	−	0.513897i	0.139033	−	0.0328317i
$246$	3.34425	+	2.42974i	0.213221	+	0.154914i
$247$	−5.57444	−	4.05007i	−0.354693	−	0.257700i
$248$	0.811015	−	2.49605i	0.0514995	−	0.158499i
$249$	13.3715			0.847383
$250$	2.42397	+	6.04207i	0.153305	+	0.382134i
$251$	−23.7938			−1.50185			−0.750927	−	0.660386i	$-0.770393\pi$
$251$	−23.7938			−1.50185			−0.750927	+	0.660386i	$0.770393\pi$
$252$	0.513259	−	1.57965i	0.0323323	−	0.0995086i
$253$	9.71017	+	7.05485i	0.610473	+	0.443535i
$254$	8.28506	+	6.01945i	0.519851	+	0.377694i
$255$	5.23869	−	1.23708i	0.328059	−	0.0774688i
$256$	3.85051	−	2.79756i	0.240657	−	0.174847i
$257$	8.74725			0.545638			0.272819	−	0.962065i	$-0.412044\pi$
$257$	8.74725			0.545638			0.272819	+	0.962065i	$0.412044\pi$
$258$	−0.521772	+	0.379090i	−0.0324841	+	0.0236011i
$259$	2.24821	+	6.91928i	0.139697	+	0.429943i
$260$	−0.365740	+	4.43585i	−0.0226822	+	0.275100i
$261$	−1.75312	+	5.39556i	−0.108516	+	0.333976i
$262$	−1.62528	−	5.00210i	−0.100410	−	0.309031i
$263$	1.51962	+	4.67692i	0.0937039	+	0.288391i	0.986914	−	0.161249i	$-0.0515523\pi$
$263$	1.51962	+	4.67692i	0.0937039	+	0.288391i	−0.893210	+	0.449640i	$0.851552\pi$
$264$	0.927245	−	2.85377i	0.0570680	−	0.175637i
$265$	21.6649	+	9.06860i	1.33087	+	0.557079i
$266$	1.03456	+	3.18404i	0.0634327	+	0.195226i
$267$	14.4757	−	10.5172i	0.885897	−	0.643642i
$268$	−16.0997			−0.983446
$269$	−18.5204	+	13.4558i	−1.12921	+	0.820417i	−0.985579	−	0.169215i	$-0.945877\pi$
$269$	−18.5204	+	13.4558i	−1.12921	+	0.820417i	−0.143627	+	0.989632i	$0.545877\pi$
$270$	−1.20106	−	0.502744i	−0.0730940	−	0.0305960i
$271$	6.42072	+	4.66493i	0.390031	+	0.283374i	0.765468	−	0.643474i	$-0.222507\pi$
$271$	6.42072	+	4.66493i	0.390031	+	0.283374i	−0.375437	+	0.926848i	$0.622507\pi$
$272$	4.05201	+	2.94395i	0.245689	+	0.178503i
$273$	0.370332	−	1.13976i	0.0224135	−	0.0689817i
$274$	−8.67462			−0.524053
$275$	1.04918	+	6.95941i	0.0632677	+	0.419668i
$276$	14.1626			0.852486
$277$	−4.52231	+	13.9182i	−0.271719	+	0.836265i	0.718350	+	0.695682i	$0.244898\pi$
$277$	−4.52231	+	13.9182i	−0.271719	+	0.836265i	−0.990069	+	0.140583i	$0.955102\pi$
$278$	3.88891	+	2.82546i	0.233241	+	0.169460i
$279$	−0.996035	−	0.723662i	−0.0596311	−	0.0433245i
$280$	3.10918	−	3.61304i	0.185809	−	0.215921i
$281$	6.02613	−	4.37824i	0.359489	−	0.261184i	−0.393350	−	0.919389i	$-0.628684\pi$
$281$	6.02613	−	4.37824i	0.359489	−	0.261184i	0.752839	+	0.658205i	$0.228684\pi$
$282$	1.43802			0.0856330
$283$	3.33395	−	2.42226i	0.198183	−	0.143988i	−0.484268	−	0.874920i	$-0.660914\pi$
$283$	3.33395	−	2.42226i	0.198183	−	0.143988i	0.682451	+	0.730931i	$0.260914\pi$
$284$	−3.44861	−	10.6137i	−0.204638	−	0.629810i
$285$	−12.5123	+	2.95468i	−0.741164	+	0.175020i
$286$	0.303536	−	0.934188i	0.0179485	−	0.0552397i
$287$	2.19375	+	6.75165i	0.129493	+	0.398538i
$288$	−1.69185	−	5.20699i	−0.0996934	−	0.306825i
$289$	−3.46258	+	10.6567i	−0.203681	+	0.626867i
$290$	−4.81818	+	5.59900i	−0.282933	+	0.328784i
$291$	−4.22356	−	12.9988i	−0.247589	−	0.762001i
$292$	8.76950	−	6.37141i	0.513196	−	0.372859i
$293$	−8.88581			−0.519115			−0.259557	−	0.965728i	$-0.583577\pi$
$293$	−8.88581			−0.519115			−0.259557	+	0.965728i	$0.583577\pi$
$294$	−0.471080	+	0.342259i	−0.0274739	+	0.0199610i
$295$	−5.92384	−	9.74815i	−0.344899	−	0.567559i
$296$	12.5471	+	9.11598i	0.729283	+	0.529855i
$297$	−1.13878	−	0.827372i	−0.0660787	−	0.0480090i
$298$	−1.04763	+	3.22427i	−0.0606876	+	0.186777i
$299$	10.2187			0.590963
$300$	5.82841	+	5.91590i	0.336503	+	0.341555i
$301$	−1.10761			−0.0638415
$302$	1.77558	−	5.46467i	0.102173	−	0.314457i
$303$	−2.98099	−	2.16582i	−0.171253	−	0.124423i
$304$	−9.67796	−	7.03145i	−0.555069	−	0.403281i
$305$	−2.71350	+	32.9105i	−0.155374	+	1.88445i
$306$	−1.13401	+	0.823904i	−0.0648268	+	0.0470994i
$307$	−25.7441			−1.46929			−0.734646	−	0.678451i	$-0.762652\pi$
$307$	−25.7441			−1.46929			−0.734646	+	0.678451i	$0.762652\pi$
$308$	1.89145	−	1.37422i	0.107775	−	0.0783033i
$309$	−2.10788	−	6.48737i	−0.119913	−	0.369054i
$310$	−0.832478	−	1.36991i	−0.0472816	−	0.0778056i
$311$	−1.81846	+	5.59666i	−0.103116	+	0.317357i	−0.989284	−	0.146007i	$-0.953358\pi$
$311$	−1.81846	+	5.59666i	−0.103116	+	0.317357i	0.886168	+	0.463364i	$0.153358\pi$
$312$	−0.789443	−	2.42966i	−0.0446934	−	0.137552i
$313$	7.53706	+	23.1967i	0.426020	+	1.31115i	0.902014	+	0.431706i	$0.142088\pi$
$313$	7.53706	+	23.1967i	0.426020	+	1.31115i	−0.475994	+	0.879448i	$0.657912\pi$
$314$	3.44224	−	10.5941i	0.194257	−	0.597861i
$315$	−1.16123	−	1.91090i	−0.0654280	−	0.107667i
$316$	1.12359	+	3.45806i	0.0632070	+	0.194531i
$317$	3.06700	−	2.22831i	0.172260	−	0.125154i	−0.498315	−	0.866996i	$-0.666048\pi$
$317$	3.06700	−	2.22831i	0.172260	−	0.125154i	0.670575	+	0.741842i	$0.266048\pi$
$318$	−6.11600			−0.342968
$319$	−6.46055	+	4.69387i	−0.361722	+	0.262806i
$320$	−0.178825	+	2.16887i	−0.00999661	+	0.121243i
$321$	−3.29583	−	2.39456i	−0.183955	−	0.133651i
$322$	−4.01681	−	2.91838i	−0.223848	−	0.162635i
$323$	−4.27699	+	13.1632i	−0.237978	+	0.732421i
$324$	−1.66094			−0.0922746
$325$	4.20537	+	4.26850i	0.233272	+	0.236774i
$326$	−6.25231			−0.346284
$327$	−2.87007	+	8.83315i	−0.158715	+	0.488474i
$328$	12.2431	+	8.89513i	0.676012	+	0.491151i
$329$	1.99796	+	1.45160i	0.110151	+	0.0800294i
$330$	−0.951784	−	1.56624i	−0.0523940	−	0.0862184i
$331$	16.4882	−	11.9794i	0.906272	−	0.658445i	−0.0337972	−	0.999429i	$-0.510760\pi$
$331$	16.4882	−	11.9794i	0.906272	−	0.658445i	0.940069	+	0.340983i	$0.110760\pi$
$332$	22.2092			1.21889
$333$	5.88589	−	4.27635i	0.322545	−	0.234343i
$334$	−1.33605	−	4.11193i	−0.0731052	−	0.224995i
$335$	−14.1377	+	16.4288i	−0.772427	+	0.897603i
$336$	0.642945	−	1.97878i	0.0350755	−	0.107951i
$337$	6.21711	+	19.1343i	0.338667	+	1.04231i	0.964887	+	0.262665i	$0.0846013\pi$
$337$	6.21711	+	19.1343i	0.338667	+	1.04231i	−0.626220	+	0.779647i	$0.715399\pi$
$338$	2.08075	+	6.40388i	0.113178	+	0.348325i
$339$	4.19985	−	12.9258i	0.228105	−	0.702034i
$340$	8.70116	−	2.05471i	0.471887	−	0.111433i
$341$	−0.535527	−	1.64818i	−0.0290004	−	0.0892542i
$342$	2.70850	−	1.96784i	0.146459	−	0.106409i
$343$	−1.00000			−0.0539949
$344$	−1.91018	+	1.38782i	−0.102990	+	0.0748265i
$345$	12.4366	−	14.4521i	0.669567	−	0.778074i
$346$	−2.73438	−	1.98664i	−0.147001	−	0.106803i
$347$	−10.2557	−	7.45117i	−0.550552	−	0.400000i	0.277437	−	0.960744i	$-0.410515\pi$
$347$	−10.2557	−	7.45117i	−0.550552	−	0.400000i	−0.827989	+	0.560744i	$0.810515\pi$
$348$	−2.91183	+	8.96171i	−0.156091	+	0.480398i
$349$	−27.0554			−1.44824			−0.724120	−	0.689674i	$-0.757754\pi$
$349$	−27.0554			−1.44824			−0.724120	+	0.689674i	$0.757754\pi$
$350$	−0.434013	−	2.87890i	−0.0231990	−	0.153884i
$351$	−1.19842			−0.0639669
$352$	2.38147	−	7.32941i	0.126933	−	0.390659i
$353$	−4.39434	−	3.19268i	−0.233887	−	0.169929i	0.464668	−	0.885485i	$-0.346174\pi$
$353$	−4.39434	−	3.19268i	−0.233887	−	0.169929i	−0.698556	+	0.715556i	$0.746174\pi$
$354$	2.40314	+	1.74598i	0.127725	+	0.0927979i
$355$	−13.8591	−	5.80119i	−0.735563	−	0.307895i
$356$	24.0433	−	17.4685i	1.27429	−	0.925826i
$357$	−2.40725			−0.127405
$358$	−2.74829	+	1.99675i	−0.145252	+	0.105531i
$359$	4.62867	+	14.2456i	0.244292	+	0.751853i	0.995752	+	0.0920746i	$0.0293498\pi$
$359$	4.62867	+	14.2456i	0.244292	+	0.751853i	−0.751460	+	0.659778i	$0.770650\pi$
$360$	−4.39700	−	1.84052i	−0.231742	−	0.0970037i
$361$	4.34400	−	13.3695i	0.228632	−	0.703656i
$362$	3.15863	+	9.72126i	0.166014	+	0.510938i
$363$	2.78691	+	8.57723i	0.146275	+	0.450188i
$364$	0.615100	−	1.89308i	0.0322400	−	0.0992245i
$365$	1.19914	−	14.5437i	0.0627661	−	0.761255i
$366$	−2.65729	−	8.17831i	−0.138899	−	0.427487i
$367$	−3.30519	+	2.40136i	−0.172530	+	0.125350i	−0.670699	−	0.741730i	$-0.734006\pi$
$367$	−3.30519	+	2.40136i	−0.172530	+	0.125350i	0.498169	+	0.867080i	$0.334006\pi$
$368$	17.7410			0.924814
$369$	5.74330	−	4.17275i	0.298984	−	0.217225i
$370$	9.21920	−	2.17705i	0.479283	−	0.113179i
$371$	−8.49744	−	6.17375i	−0.441165	−	0.320525i
$372$	−1.65436	−	1.20196i	−0.0857744	−	0.0623188i
$373$	8.59095	−	26.4402i	0.444822	−	1.36902i	−0.437856	−	0.899045i	$-0.644262\pi$
$373$	8.59095	−	26.4402i	0.444822	−	1.36902i	0.882679	−	0.469977i	$-0.155738\pi$
$374$	−1.97306			−0.102024
$375$	11.1550	−	0.752594i	0.576041	−	0.0388638i
$376$	5.26452			0.271497
$377$	−2.10098	+	6.46614i	−0.108206	+	0.333023i
$378$	0.471080	+	0.342259i	0.0242297	+	0.0176039i
$379$	19.5813	+	14.2267i	1.00583	+	0.730775i	0.963329	−	0.268321i	$-0.0864689\pi$
$379$	19.5813	+	14.2267i	1.00583	+	0.730775i	0.0424964	+	0.999097i	$0.486469\pi$
$380$	−20.7822	+	4.90756i	−1.06610	+	0.251752i
$381$	14.2285	−	10.3376i	0.728948	−	0.529611i
$382$	−0.425272			−0.0217588
$383$	−12.2045	+	8.86711i	−0.623623	+	0.453088i	−0.854185	−	0.519969i	$-0.825943\pi$
$383$	−12.2045	+	8.86711i	−0.623623	+	0.453088i	0.230562	+	0.973058i	$0.425943\pi$
$384$	−3.55883	−	10.9529i	−0.181611	−	0.558940i
$385$	0.258637	−	3.13687i	0.0131814	−	0.159870i
$386$	−2.43357	+	7.48975i	−0.123865	+	0.381218i
$387$	0.342270	+	1.05340i	0.0173986	+	0.0535472i
$388$	−7.01508	−	21.5902i	−0.356137	−	1.09608i
$389$	−9.52764	+	29.3230i	−0.483070	+	1.48674i	0.351686	+	0.936118i	$0.385608\pi$
$389$	−9.52764	+	29.3230i	−0.483070	+	1.48674i	−0.834756	+	0.550620i	$0.814392\pi$
$390$	−1.43937	−	0.602498i	−0.0728853	−	0.0305087i
$391$	−6.34294	−	19.5215i	−0.320776	−	0.987247i
$392$	−1.72460	+	1.25299i	−0.0871052	+	0.0632857i
$393$	−9.03253			−0.455631
$394$	0.782633	−	0.568616i	0.0394285	−	0.0286465i
$395$	4.51542	+	1.89009i	0.227196	+	0.0951005i
$396$	−1.89145	−	1.37422i	−0.0950489	−	0.0690570i
$397$	−3.11215	−	2.26111i	−0.156195	−	0.113482i	0.506943	−	0.861980i	$-0.330776\pi$
$397$	−3.11215	−	2.26111i	−0.156195	−	0.113482i	−0.663137	+	0.748498i	$0.730776\pi$
$398$	−3.28680	+	10.1157i	−0.164752	+	0.507055i
$399$	5.74956			0.287838
$400$	7.30108	+	7.41068i	0.365054	+	0.370534i
$401$	−5.27873			−0.263607			−0.131804	−	0.991276i	$-0.542077\pi$
$401$	−5.27873			−0.263607			−0.131804	+	0.991276i	$0.542077\pi$
$402$	1.74414	−	5.36792i	0.0869900	−	0.267728i
$403$	−1.19367	−	0.867251i	−0.0594608	−	0.0432008i
$404$	−4.95125	−	3.59729i	−0.246334	−	0.178972i
$405$	−1.45853	+	1.69490i	−0.0724751	+	0.0842202i
$406$	2.67254	−	1.94171i	0.132636	−	0.0963657i
$407$	10.2409			0.507621
$408$	−4.15153	+	3.01626i	−0.205531	+	0.149327i
$409$	−9.82582	−	30.2408i	−0.485856	−	1.49531i	−0.830738	−	0.556664i	$-0.812081\pi$
$409$	−9.82582	−	30.2408i	−0.485856	−	1.49531i	0.344882	−	0.938646i	$-0.387919\pi$
$410$	8.99585	−	2.12430i	0.444274	−	0.104912i
$411$	−4.60359	+	14.1684i	−0.227078	+	0.698875i
$412$	−3.50106	−	10.7752i	−0.172485	−	0.530854i
$413$	1.57640	+	4.85166i	0.0775696	+	0.238735i
$414$	−1.53429	+	4.72205i	−0.0754060	+	0.232076i
$415$	19.5027	−	22.6633i	0.957352	−	1.11250i
$416$	−2.02755	−	6.24015i	−0.0994088	−	0.305949i
$417$	6.67869	−	4.85235i	0.327057	−	0.237621i
$418$	4.71253			0.230497
$419$	−3.73288	+	2.71209i	−0.182363	+	0.132494i	−0.675222	−	0.737615i	$-0.735952\pi$
$419$	−3.73288	+	2.71209i	−0.182363	+	0.132494i	0.492859	+	0.870109i	$0.335952\pi$
$420$	−1.92874	−	3.17389i	−0.0941129	−	0.154870i
$421$	−19.2109	−	13.9575i	−0.936281	−	0.680248i	0.0112419	−	0.999937i	$-0.496422\pi$
$421$	−19.2109	−	13.9575i	−0.936281	−	0.680248i	−0.947522	+	0.319689i	$0.896422\pi$
$422$	−8.51801	−	6.18870i	−0.414650	−	0.301261i
$423$	0.763153	−	2.34874i	0.0371058	−	0.114200i
$424$	−22.3903			−1.08737
$425$	5.54408	−	10.6834i	0.268928	−	0.518219i
$426$	3.91241			0.189557
$427$	4.56355	−	14.0452i	0.220846	−	0.679693i
$428$	−5.47418	−	3.97723i	−0.264605	−	0.192246i
$429$	−1.36474	−	0.991539i	−0.0658901	−	0.0478720i
$430$	−0.118504	+	1.43727i	−0.00571476	+	0.0693111i
$431$	−0.0213503	+	0.0155119i	−0.00102841	+	0.000747182i	−0.588299	−	0.808643i	$-0.700202\pi$
$431$	−0.0213503	+	0.0155119i	−0.00102841	+	0.000747182i	0.587271	+	0.809390i	$0.300202\pi$
$432$	−2.08061			−0.100104
$433$	8.99009	−	6.53168i	0.432036	−	0.313893i	−0.350426	−	0.936590i	$-0.613963\pi$
$433$	8.99009	−	6.53168i	0.432036	−	0.313893i	0.782463	+	0.622698i	$0.213963\pi$
$434$	0.221532	+	0.681805i	0.0106339	+	0.0327277i
$435$	6.58793	+	10.8410i	0.315867	+	0.519784i
$436$	−4.76701	+	14.6714i	−0.228298	+	0.702630i
$437$	15.1497	+	46.6260i	0.724709	+	2.23042i
$438$	1.17431	+	3.61415i	0.0561106	+	0.172691i
$439$	−6.56358	+	20.2006i	−0.313262	+	0.964122i	0.663201	+	0.748441i	$0.269197\pi$
$439$	−6.56358	+	20.2006i	−0.313262	+	0.964122i	−0.976464	+	0.215681i	$0.930803\pi$
$440$	−3.48443	−	5.73390i	−0.166113	−	0.273353i
$441$	0.309017	+	0.951057i	0.0147151	+	0.0452884i
$442$	−1.35901	+	0.987382i	−0.0646417	+	0.0469650i
$443$	−31.9203			−1.51658			−0.758290	−	0.651917i	$-0.773965\pi$
$443$	−31.9203			−1.51658			−0.758290	+	0.651917i	$0.773965\pi$
$444$	9.77613	−	7.10277i	0.463955	−	0.337083i
$445$	3.28768	−	39.8745i	0.155851	−	1.89023i
$446$	6.91533	+	5.02428i	0.327450	+	0.237907i
$447$	4.71028	+	3.42222i	0.222788	+	0.161865i
$448$	0.300747	−	0.925604i	0.0142090	−	0.0437307i
$449$	26.4332			1.24746			0.623729	−	0.781641i	$-0.285617\pi$
$449$	26.4332			1.24746			0.623729	+	0.781641i	$0.285617\pi$
$450$	−2.60388	+	1.30240i	−0.122748	+	0.0613958i
$451$	9.99278			0.470542
$452$	6.97572	−	21.4690i	0.328110	−	1.00982i
$453$	−7.98323	−	5.80016i	−0.375085	−	0.272515i
$454$	−5.47651	−	3.97892i	−0.257025	−	0.186740i
$455$	−1.39164	−	2.29006i	−0.0652413	−	0.107360i
$456$	9.91567	−	7.20416i	0.464344	−	0.337366i
$457$	−8.37144			−0.391600			−0.195800	−	0.980644i	$-0.562730\pi$
$457$	−8.37144			−0.391600			−0.195800	+	0.980644i	$0.562730\pi$
$458$	0.733113	−	0.532638i	0.0342561	−	0.0248885i
$459$	0.743881	+	2.28943i	0.0347214	+	0.106861i
$460$	20.6566	−	24.0041i	0.963117	−	1.11920i
$461$	9.03643	−	27.8113i	0.420868	−	1.29530i	−0.486027	−	0.873944i	$-0.661554\pi$
$461$	9.03643	−	27.8113i	0.420868	−	1.29530i	0.906895	−	0.421356i	$-0.138446\pi$
$462$	0.253280	+	0.779517i	0.0117837	+	0.0362664i
$463$	10.5287	+	32.4039i	0.489309	+	1.50594i	0.825642	+	0.564195i	$0.190813\pi$
$463$	10.5287	+	32.4039i	0.489309	+	1.50594i	−0.336333	+	0.941743i	$0.609187\pi$
$464$	−3.64757	+	11.2261i	−0.169334	+	0.521157i
$465$	−2.67928	+	0.632693i	−0.124249	+	0.0293404i
$466$	−3.53437	−	10.8777i	−0.163727	−	0.503899i
$467$	13.7589	−	9.99642i	0.636686	−	0.462579i	−0.222024	−	0.975041i	$-0.571266\pi$
$467$	13.7589	−	9.99642i	0.636686	−	0.462579i	0.858710	+	0.512462i	$0.171266\pi$
$468$	−1.99051			−0.0920111
$469$	7.84189	−	5.69747i	0.362105	−	0.263085i
$470$	2.09740	−	2.43730i	0.0967461	−	0.112424i
$471$	−15.4768	−	11.2445i	−0.713131	−	0.518120i
$472$	8.79775	+	6.39194i	0.404949	+	0.294213i
$473$	−0.481782	+	1.48277i	−0.0221524	+	0.0681780i
$474$	−1.27470			−0.0585490
$475$	−13.2417	+	25.5166i	−0.607571	+	1.17078i
$476$	−3.99830			−0.183262
$477$	−3.24573	+	9.98934i	−0.148612	+	0.457380i
$478$	−4.70261	−	3.41665i	−0.215092	−	0.156274i
$479$	−10.3340	−	7.50807i	−0.472171	−	0.343052i	0.326116	−	0.945330i	$-0.394260\pi$
$479$	−10.3340	−	7.50807i	−0.472171	−	0.343052i	−0.798287	+	0.602277i	$0.794260\pi$
$480$	−11.2929	−	4.72705i	−0.515450	−	0.215759i
$481$	7.05377	−	5.12486i	0.321624	−	0.233674i
$482$	−2.63445			−0.119996
$483$	−6.89834	+	5.01194i	−0.313885	+	0.228051i
$484$	4.62890	+	14.2463i	0.210404	+	0.647558i
$485$	−28.1918	−	11.8006i	−1.28012	−	0.535839i
$486$	0.179936	−	0.553787i	0.00816208	−	0.0251203i
$487$	8.21353	+	25.2787i	0.372191	+	1.14549i	0.945354	+	0.326044i	$0.105716\pi$
$487$	8.21353	+	25.2787i	0.372191	+	1.14549i	−0.573164	+	0.819441i	$0.694284\pi$
$488$	−9.72820	−	29.9403i	−0.440375	−	1.35533i
$489$	−3.31808	+	10.2120i	−0.150049	+	0.461802i
$490$	−0.106991	+	1.29763i	−0.00483334	+	0.0586209i
$491$	−2.50123	−	7.69799i	−0.112879	−	0.347405i	0.878620	−	0.477522i	$-0.158465\pi$
$491$	−2.50123	−	7.69799i	−0.112879	−	0.347405i	−0.991499	+	0.130117i	$0.958465\pi$
$492$	9.53929	−	6.93070i	0.430064	−	0.312460i
$493$	13.6569			0.615074
$494$	3.24592	−	2.35830i	0.146041	−	0.106105i
$495$	−3.06326	+	0.723367i	−0.137683	+	0.0325129i
$496$	−2.07236	−	1.50566i	−0.0930519	−	0.0676062i
$497$	5.43582	+	3.94936i	0.243830	+	0.177153i
$498$	−2.40602	+	7.40495i	−0.107816	+	0.331824i
$499$	−18.6035			−0.832805			−0.416402	−	0.909180i	$-0.636709\pi$
$499$	−18.6035			−0.832805			−0.416402	+	0.909180i	$0.636709\pi$
$500$	18.5278	−	1.25002i	0.828587	−	0.0559024i
$501$	−7.42511			−0.331729
$502$	4.28138	−	13.1767i	0.191087	−	0.588106i
$503$	6.37989	+	4.63526i	0.284465	+	0.206676i	0.720863	−	0.693078i	$-0.243746\pi$
$503$	6.37989	+	4.63526i	0.284465	+	0.206676i	−0.436397	+	0.899754i	$0.643746\pi$
$504$	1.72460	+	1.25299i	0.0768196	+	0.0558127i
$505$	−8.01871	+	1.89356i	−0.356828	+	0.0842623i
$506$	−5.65410	+	4.10795i	−0.251356	+	0.182621i
$507$	11.5638			0.513566
$508$	23.6327	−	17.1702i	1.04853	−	0.761803i
$509$	−7.07733	−	21.7818i	−0.313697	−	0.965461i	−0.976287	−	0.216479i	$-0.930543\pi$
$509$	−7.07733	−	21.7818i	−0.313697	−	0.965461i	0.662590	−	0.748982i	$-0.269457\pi$
$510$	−0.257553	+	3.12372i	−0.0114046	+	0.138320i
$511$	−2.01672	+	6.20682i	−0.0892143	+	0.274573i
$512$	−6.26125	−	19.2701i	−0.276711	−	0.851628i
$513$	−1.77671	−	5.46816i	−0.0784438	−	0.241425i
$514$	−1.57395	+	4.84412i	−0.0694239	+	0.213665i
$515$	−14.0698	−	5.88942i	−0.619991	−	0.259519i
$516$	0.568490	+	1.74963i	0.0250264	+	0.0770233i
$517$	2.81235	−	2.04329i	0.123687	−	0.0898638i
$518$	−4.23635			−0.186134
$519$	−4.69594	+	3.41180i	−0.206129	+	0.149761i
$520$	−5.26945	−	2.20571i	−0.231081	−	0.0967267i
$521$	17.1880	+	12.4878i	0.753020	+	0.547101i	0.896762	−	0.442514i	$-0.145913\pi$
$521$	17.1880	+	12.4878i	0.753020	+	0.547101i	−0.143741	+	0.989615i	$0.545913\pi$
$522$	−2.67254	−	1.94171i	−0.116974	−	0.0849865i
$523$	−2.50071	+	7.69640i	−0.109349	+	0.336540i	−0.990726	−	0.135872i	$-0.956617\pi$
$523$	−2.50071	+	7.69640i	−0.109349	+	0.336540i	0.881378	+	0.472412i	$0.156617\pi$
$524$	−15.0025			−0.655388
$525$	−4.93248	−	0.818941i	−0.215271	−	0.0357415i
$526$	−2.86345			−0.124852
$527$	−0.915842	+	2.81867i	−0.0398947	+	0.122783i
$528$	−2.36936	−	1.72144i	−0.103113	−	0.0749162i
$529$	−40.2135	−	29.2168i	−1.74841	−	1.27030i
$530$	−8.92038	+	10.3660i	−0.387477	+	0.450270i
$531$	4.12707	−	2.99849i	0.179100	−	0.130123i
$532$	9.54969			0.414032
$533$	6.88288	−	5.00071i	0.298131	−	0.216605i
$534$	3.21959	+	9.90887i	0.139325	+	0.428799i
$535$	−8.86561	+	2.09355i	−0.383294	+	0.0905120i
$536$	6.38521	−	19.6517i	0.275799	−	0.848822i
$537$	1.80281	+	5.54848i	0.0777970	+	0.239435i
$538$	−4.11918	−	12.6775i	−0.177591	−	0.546568i
$539$	−0.434975	+	1.33872i	−0.0187357	+	0.0576626i
$540$	−2.42254	+	2.81513i	−0.104250	+	0.121144i
$541$	5.99100	+	18.4384i	0.257573	+	0.792729i	0.993312	+	0.115463i	$0.0368353\pi$
$541$	5.99100	+	18.4384i	0.257573	+	0.792729i	−0.735738	+	0.677266i	$0.763165\pi$
$542$	−3.73870	+	2.71632i	−0.160591	+	0.116676i
$543$	17.5541			0.753320
$544$	−10.6625	+	7.74675i	−0.457150	+	0.332139i
$545$	10.7852	+	17.7479i	0.461988	+	0.760237i
$546$	0.564551	+	0.410170i	0.0241606	+	0.0175537i
$547$	−10.2792	−	7.46826i	−0.439506	−	0.319320i	0.345933	−	0.938259i	$-0.387563\pi$
$547$	−10.2792	−	7.46826i	−0.439506	−	0.319320i	−0.785439	+	0.618940i	$0.787563\pi$
$548$	−7.64629	+	23.5329i	−0.326633	+	1.00527i
$549$	−14.7680			−0.630281
$550$	−4.04282	−	0.671231i	−0.172386	−	0.0286214i
$551$	−32.6186			−1.38960
$552$	−5.61693	+	17.2871i	−0.239072	+	0.735789i
$553$	−1.77104	−	1.28674i	−0.0753125	−	0.0547177i
$554$	−6.89401	−	5.00879i	−0.292898	−	0.212803i
$555$	1.33679	−	16.2132i	0.0567436	−	0.688212i
$556$	11.0929	−	8.05947i	0.470444	−	0.341798i
$557$	−17.0832			−0.723839			−0.361920	−	0.932209i	$-0.617878\pi$
$557$	−17.0832			−0.723839			−0.361920	+	0.932209i	$0.617878\pi$
$558$	0.579978	−	0.421379i	0.0245524	−	0.0178384i
$559$	0.410183	+	1.26241i	0.0173489	+	0.0533944i
$560$	−2.41608	−	3.97585i	−0.102098	−	0.168010i
$561$	−1.04709	+	3.22262i	−0.0442083	+	0.136059i
$562$	1.34029	+	4.12500i	0.0565369	+	0.174003i
$563$	6.64457	+	20.4499i	0.280035	+	0.861860i	0.987843	+	0.155455i	$0.0496844\pi$
$563$	6.64457	+	20.4499i	0.280035	+	0.861860i	−0.707808	+	0.706405i	$0.750316\pi$
$564$	1.26755	−	3.90113i	0.0533736	−	0.164267i
$565$	−15.7823	−	25.9711i	−0.663967	−	1.09261i
$566$	0.741516	+	2.28215i	0.0311682	+	0.0959260i
$567$	0.809017	−	0.587785i	0.0339755	−	0.0246847i
$568$	14.3231			0.600984
$569$	28.6228	−	20.7957i	1.19993	−	0.871800i	0.205652	−	0.978625i	$-0.434069\pi$
$569$	28.6228	−	20.7957i	1.19993	−	0.871800i	0.994278	+	0.106825i	$0.0340686\pi$
$570$	0.615149	−	7.46080i	0.0257658	−	0.312499i
$571$	35.7423	+	25.9683i	1.49577	+	1.08674i	0.972029	+	0.234863i	$0.0754640\pi$
$571$	35.7423	+	25.9683i	1.49577	+	1.08674i	0.523741	+	0.851878i	$0.324536\pi$
$572$	−2.26675	−	1.64689i	−0.0947775	−	0.0688599i
$573$	−0.225690	+	0.694602i	−0.00942833	+	0.0290174i
$574$	−4.13372			−0.172538
$575$	−6.35555	−	42.1577i	−0.265045	−	1.75810i
$576$	−0.973238			−0.0405516
$577$	−8.47412	+	26.0807i	−0.352782	+	1.08575i	0.604502	+	0.796604i	$0.293372\pi$
$577$	−8.47412	+	26.0807i	−0.352782	+	1.08575i	−0.957284	+	0.289149i	$0.906628\pi$
$578$	−5.27852	−	3.83507i	−0.219558	−	0.159518i
$579$	10.9416	+	7.94956i	0.454719	+	0.330372i
$580$	10.9422	+	18.0062i	0.454349	+	0.747667i
$581$	−10.8177	+	7.85955i	−0.448796	+	0.326069i
$582$	7.95853			0.329892
$583$	−11.9611	+	8.69023i	−0.495377	+	0.359913i
$584$	4.29907	+	13.2312i	0.177897	+	0.547510i
$585$	−1.74793	+	2.03120i	−0.0722682	+	0.0839797i
$586$	1.59888	−	4.92085i	0.0660492	−	0.203278i
$587$	9.78251	+	30.1075i	0.403767	+	1.24267i	0.921920	+	0.387380i	$0.126620\pi$
$587$	9.78251	+	30.1075i	0.403767	+	1.24267i	−0.518153	+	0.855288i	$0.673380\pi$
$588$	0.513259	+	1.57965i	0.0211665	+	0.0651437i
$589$	2.18743	−	6.73222i	0.0901315	−	0.277396i
$590$	6.46432	−	1.52650i	0.266132	−	0.0628451i
$591$	−0.513389	−	1.58005i	−0.0211180	−	0.0649945i
$592$	12.2463	−	8.89744i	0.503319	−	0.365682i
$593$	28.9921			1.19056			0.595282	−	0.803517i	$-0.297040\pi$
$593$	28.9921			1.19056			0.595282	+	0.803517i	$0.297040\pi$
$594$	0.663097	−	0.481768i	0.0272072	−	0.0197672i
$595$	−3.51105	+	4.08004i	−0.143939	+	0.167265i
$596$	7.82350	+	5.68410i	0.320463	+	0.232830i
$597$	14.7779	+	10.7367i	0.604817	+	0.439426i
$598$	−1.83872	+	5.65899i	−0.0751908	+	0.231413i
$599$	−18.0454			−0.737317			−0.368658	−	0.929565i	$-0.620183\pi$
$599$	−18.0454			−0.737317			−0.368658	+	0.929565i	$0.620183\pi$
$600$	−9.53266	+	4.76801i	−0.389169	+	0.194653i
$601$	27.4662			1.12037			0.560184	−	0.828368i	$-0.310730\pi$
$601$	27.4662			1.12037			0.560184	+	0.828368i	$0.310730\pi$
$602$	0.199299	−	0.613380i	0.00812283	−	0.0249995i
$603$	−7.84189	−	5.69747i	−0.319347	−	0.232019i
$604$	−13.2597	−	9.63373i	−0.539529	−	0.391991i
$605$	18.6023	+	7.78665i	0.756293	+	0.316572i
$606$	1.73579	−	1.26113i	0.0705116	−	0.0512297i
$607$	−29.5063			−1.19762			−0.598812	−	0.800890i	$-0.704360\pi$
$607$	−29.5063			−1.19762			−0.598812	+	0.800890i	$0.704360\pi$
$608$	25.4667	−	18.5026i	1.03281	−	0.750381i
$609$	−1.75312	−	5.39556i	−0.0710401	−	0.218639i
$610$	−17.7372	−	7.42449i	−0.718156	−	0.300609i
$611$	0.914577	−	2.81478i	0.0369998	−	0.113874i
$612$	1.23554	+	3.80261i	0.0499439	+	0.153711i
$613$	8.72282	+	26.8461i	0.352312	+	1.08430i	0.957552	+	0.288261i	$0.0930770\pi$
$613$	8.72282	+	26.8461i	0.352312	+	1.08430i	−0.605240	+	0.796043i	$0.706923\pi$
$614$	4.63230	−	14.2567i	0.186944	−	0.575355i
$615$	1.30441	−	15.8204i	0.0525987	−	0.637940i
$616$	0.927245	+	2.85377i	0.0373598	+	0.114982i
$617$	35.5203	−	25.8070i	1.42999	−	1.03895i	0.439976	−	0.898010i	$-0.354987\pi$
$617$	35.5203	−	25.8070i	1.42999	−	1.03895i	0.990018	−	0.140941i	$-0.0450129\pi$
$618$	3.97191			0.159774
$619$	−33.4241	+	24.2840i	−1.34343	+	0.976056i	−0.344116	+	0.938927i	$0.611821\pi$
$619$	−33.4241	+	24.2840i	−1.34343	+	0.976056i	−0.999310	+	0.0371289i	$0.988179\pi$
$620$	−4.45014	+	1.05087i	−0.178722	+	0.0422038i
$621$	6.89834	+	5.01194i	0.276821	+	0.201122i
$622$	−2.77215	−	2.01409i	−0.111153	−	0.0807575i
$623$	−5.52922	+	17.0172i	−0.221523	+	0.681779i
$624$	−2.49345			−0.0998178
$625$	14.9943	−	20.0042i	0.599774	−	0.800170i
$626$	−14.2022			−0.567635
$627$	2.50092	−	7.69704i	0.0998771	−	0.307390i
$628$	−25.7060	−	18.6765i	−1.02578	−	0.745273i
$629$	−14.1688	−	10.2942i	−0.564947	−	0.410458i
$630$	1.26718	−	0.299235i	0.0504857	−	0.0119218i
$631$	−11.2652	+	8.18467i	−0.448462	+	0.325826i	−0.788988	−	0.614408i	$-0.789395\pi$
$631$	−11.2652	+	8.18467i	−0.448462	+	0.325826i	0.340526	+	0.940235i	$0.389395\pi$
$632$	−4.66661			−0.185628
$633$	−14.6286	+	10.6283i	−0.581433	+	0.422436i
$634$	0.682143	+	2.09942i	0.0270914	+	0.0833786i
$635$	3.23154	−	39.1936i	0.128240	−	1.55535i
$636$	−5.39097	+	16.5917i	−0.213766	+	0.657904i
$637$	0.370332	+	1.13976i	0.0146731	+	0.0451591i
$638$	−1.43692	−	4.42237i	−0.0568880	−	0.175083i
$639$	2.07630	−	6.39019i	0.0821371	−	0.252792i
$640$	−23.7548	−	9.94338i	−0.938990	−	0.393047i
$641$	−11.8504	−	36.4718i	−0.468062	−	1.44055i	−0.855090	−	0.518480i	$-0.826498\pi$
$641$	−11.8504	−	36.4718i	−0.468062	−	1.44055i	0.387028	−	0.922068i	$-0.373502\pi$
$642$	1.91912	−	1.39432i	0.0757415	−	0.0550294i
$643$	41.1640			1.62335			0.811675	−	0.584109i	$-0.198556\pi$
$643$	41.1640			1.62335			0.811675	+	0.584109i	$0.198556\pi$
$644$	−11.4577	+	8.32454i	−0.451498	+	0.328033i
$645$	2.28461	+	0.956304i	0.0899566	+	0.0376544i
$646$	−6.52004	−	4.73709i	−0.256528	−	0.186378i
$647$	−9.11876	−	6.62517i	−0.358495	−	0.260462i	0.393929	−	0.919141i	$-0.371116\pi$
$647$	−9.11876	−	6.62517i	−0.358495	−	0.260462i	−0.752424	+	0.658679i	$0.771116\pi$
$648$	0.658737	−	2.02738i	0.0258776	−	0.0796432i
$649$	7.18070			0.281867
$650$	−3.12054	+	1.56082i	−0.122398	+	0.0612205i
$651$	1.23117			0.0482532
$652$	−5.51113	+	16.9615i	−0.215833	+	0.664264i
$653$	26.2213	+	19.0509i	1.02612	+	0.745518i	0.967528	−	0.252765i	$-0.0813398\pi$
$653$	26.2213	+	19.0509i	1.02612	+	0.745518i	0.0585890	+	0.998282i	$0.481340\pi$
$654$	−4.37526	−	3.17881i	−0.171086	−	0.124301i
$655$	−13.1743	+	15.3092i	−0.514761	+	0.598181i
$656$	11.9496	−	8.68189i	0.466553	−	0.338971i
$657$	6.52623			0.254613
$658$	−1.16339	+	0.845249i	−0.0453535	+	0.0329512i
$659$	0.903184	+	2.77971i	0.0351830	+	0.108282i	0.967106	−	0.254375i	$-0.0818697\pi$
$659$	0.903184	+	2.77971i	0.0351830	+	0.108282i	−0.931923	+	0.362657i	$0.881870\pi$
$660$	−5.08790	+	1.20147i	−0.198046	+	0.0467672i
$661$	−1.95047	+	6.00293i	−0.0758645	+	0.233487i	−0.981796	−	0.189937i	$-0.939172\pi$
$661$	−1.95047	+	6.00293i	−0.0758645	+	0.233487i	0.905932	+	0.423424i	$0.139172\pi$
$662$	3.66720	+	11.2865i	0.142530	+	0.438661i
$663$	0.891481	+	2.74370i	0.0346223	+	0.106556i
$664$	−8.80828	+	27.1091i	−0.341828	+	1.05204i
$665$	8.38593	−	9.74493i	0.325192	−	0.377892i
$666$	1.30910	+	4.02901i	0.0507267	+	0.156121i
$667$	39.1358	−	28.4338i	1.51535	−	1.10096i
$668$	−12.3327			−0.477165
$669$	11.8762	−	8.62854i	0.459159	−	0.333598i
$670$	−6.55419	−	10.7854i	−0.253211	−	0.416678i
$671$	−16.8175	−	12.2186i	−0.649231	−	0.471694i
$672$	4.42933	+	3.21809i	0.170865	+	0.124141i
$673$	−10.6548	+	32.7922i	−0.410713	+	1.26405i	0.505316	+	0.862935i	$0.331376\pi$
$673$	−10.6548	+	32.7922i	−0.410713	+	1.26405i	−0.916029	+	0.401112i	$0.868624\pi$
$674$	−11.7150			−0.451246
$675$	0.745360	+	4.94413i	0.0286889	+	0.190300i
$676$	19.2068			0.738723
$677$	5.24742	−	16.1499i	0.201675	−	0.620691i	−0.798159	−	0.602447i	$-0.794192\pi$
$677$	5.24742	−	16.1499i	0.201675	−	0.620691i	0.999834	−	0.0182440i	$-0.00580758\pi$
$678$	6.40245	+	4.65165i	0.245885	+	0.178646i
$679$	11.0574	+	8.03368i	0.424345	+	0.308304i
$680$	−0.942887	+	11.4357i	−0.0361581	+	0.438541i
$681$	−9.40518	+	6.83327i	−0.360407	+	0.261851i
$682$	1.00910			0.0386406
$683$	−2.23716	+	1.62540i	−0.0856027	+	0.0621940i	−0.629763	−	0.776787i	$-0.716848\pi$
$683$	−2.23716	+	1.62540i	−0.0856027	+	0.0621940i	0.544161	+	0.838981i	$0.316848\pi$
$684$	−2.95102	−	9.08230i	−0.112835	−	0.347270i
$685$	17.2995	+	28.4677i	0.660979	+	1.08769i
$686$	0.179936	−	0.553787i	0.00687001	−	0.0211437i
$687$	−0.480905	−	1.48007i	−0.0183477	−	0.0564683i
$688$	0.712131	+	2.19171i	0.0271498	+	0.0835583i
$689$	−3.88975	+	11.9714i	−0.148188	+	0.456075i
$690$	5.76558	+	9.48772i	0.219492	+	0.361191i
$691$	−3.33698	−	10.2702i	−0.126945	−	0.390696i	0.867306	−	0.497776i	$-0.165850\pi$
$691$	−3.33698	−	10.2702i	−0.126945	−	0.390696i	−0.994250	+	0.107080i	$0.965850\pi$
$692$	−7.79968	+	5.66680i	−0.296499	+	0.215419i
$693$	1.40761			0.0534707
$694$	5.97173	−	4.33872i	0.226684	−	0.164695i
$695$	1.51685	−	18.3970i	0.0575373	−	0.697838i
$696$	−9.78402	−	7.10850i	−0.370862	−	0.269447i
$697$	−13.8256	−	10.0449i	−0.523680	−	0.380476i
$698$	4.86825	−	14.9829i	0.184266	−	0.567112i
$699$	−19.6423			−0.742942
$700$	−8.19256	−	1.36021i	−0.309650	−	0.0514113i
$701$	22.1310			0.835876			0.417938	−	0.908476i	$-0.362753\pi$
$701$	22.1310			0.835876			0.417938	+	0.908476i	$0.362753\pi$
$702$	0.215639	−	0.663670i	0.00813878	−	0.0250486i
$703$	33.8413	+	24.5872i	1.27635	+	0.927322i
$704$	−1.10830	−	0.805230i	−0.0417708	−	0.0303483i
$705$	−2.86780	−	4.71919i	−0.108007	−	0.177735i
$706$	2.55877	−	1.85905i	0.0963005	−	0.0699664i
$707$	3.68470			0.138578
$708$	6.85483	−	4.98032i	0.257620	−	0.187172i
$709$	−4.44052	−	13.6665i	−0.166767	−	0.513257i	0.832395	−	0.554183i	$-0.186969\pi$
$709$	−4.44052	−	13.6665i	−0.166767	−	0.513257i	−0.999162	+	0.0409260i	$0.986969\pi$
$710$	5.70638	−	6.63114i	0.214157	−	0.248862i
$711$	−0.676479	+	2.08199i	−0.0253699	+	0.0780806i
$712$	11.7867	+	36.2758i	0.441726	+	1.35949i
$713$	3.24404	+	9.98413i	0.121490	+	0.373909i
$714$	0.433152	−	1.33310i	0.0162103	−	0.0498902i
$715$	−3.67107	+	0.866897i	−0.137290	+	0.0324201i
$716$	2.99436	+	9.21571i	0.111905	+	0.344407i
$717$	−8.07611	+	5.86764i	−0.301608	+	0.219131i
$718$	−8.72189			−0.325498
$719$	−13.3081	+	9.66892i	−0.496310	+	0.360590i	−0.807606	−	0.589723i	$-0.799237\pi$
$719$	−13.3081	+	9.66892i	−0.496310	+	0.360590i	0.311296	+	0.950313i	$0.399237\pi$
$720$	−3.03464	+	3.52643i	−0.113095	+	0.131422i
$721$	5.51849	+	4.00942i	0.205519	+	0.149319i
$722$	6.62219	+	4.81131i	0.246453	+	0.179058i
$723$	−1.39809	+	4.30289i	−0.0519956	+	0.160026i
$724$	29.1564			1.08359
$725$	27.9830	+	4.64604i	1.03926	+	0.172549i
$726$	−5.25143			−0.194899
$727$	−7.31252	+	22.5056i	−0.271206	+	0.834688i	0.718992	+	0.695019i	$0.244604\pi$
$727$	−7.31252	+	22.5056i	−0.271206	+	0.834688i	−0.990198	+	0.139669i	$0.955396\pi$
$728$	2.06679	+	1.50161i	0.0766003	+	0.0556534i
$729$	−0.809017	−	0.587785i	−0.0299636	−	0.0217698i
$730$	7.83838	+	3.28102i	0.290111	+	0.121436i
$731$	2.15707	−	1.56721i	0.0797822	−	0.0579652i
$732$	−24.5287			−0.906607
$733$	−21.6582	+	15.7356i	−0.799962	+	0.581206i	−0.910903	−	0.412621i	$-0.864614\pi$
$733$	−21.6582	+	15.7356i	−0.799962	+	0.581206i	0.110941	+	0.993827i	$0.464614\pi$
$734$	−0.735120	−	2.26247i	−0.0271338	−	0.0835092i
$735$	2.06266	+	0.863395i	0.0760822	+	0.0318468i
$736$	−14.4261	+	44.3990i	−0.531754	+	1.63657i
$737$	−4.21626	−	12.9763i	−0.155308	−	0.477989i
$738$	1.27739	+	3.93140i	0.0470213	+	0.144717i
$739$	12.3098	−	37.8855i	0.452822	−	1.39364i	−0.420852	−	0.907129i	$-0.638269\pi$
$739$	12.3098	−	37.8855i	0.452822	−	1.39364i	0.873673	−	0.486513i	$-0.161731\pi$
$740$	2.22033	−	26.9292i	0.0816211	−	0.989936i
$741$	−2.12925	−	6.55315i	−0.0782198	−	0.240736i
$742$	4.94794	−	3.59489i	0.181645	−	0.131973i
$743$	−25.7944			−0.946306			−0.473153	−	0.880980i	$-0.656884\pi$
$743$	−25.7944			−0.946306			−0.473153	+	0.880980i	$0.656884\pi$
$744$	2.12327	−	1.54264i	0.0778427	−	0.0565560i
$745$	12.6704	−	2.99202i	0.464208	−	0.109619i
$746$	13.0964	+	9.51512i	0.479495	+	0.348373i
$747$	10.8177	+	7.85955i	0.395801	+	0.287566i
$748$	−1.73916	+	5.35259i	−0.0635901	+	0.195710i
$749$	4.07387			0.148856
$750$	−1.59041	+	6.31291i	−0.0580736	+	0.230515i
$751$	−23.1270			−0.843917			−0.421959	−	0.906615i	$-0.638657\pi$
$751$	−23.1270			−0.843917			−0.421959	+	0.906615i	$0.638657\pi$
$752$	1.58783	−	4.88683i	0.0579021	−	0.178204i
$753$	−19.2496	−	13.9857i	−0.701495	−	0.509666i
$754$	−3.20282	−	2.32699i	−0.116640	−	0.0847439i
$755$	−21.4745	+	5.07104i	−0.781537	+	0.184554i
$756$	1.34373	−	0.976277i	0.0488710	−	0.0355069i
$757$	−6.10672			−0.221952			−0.110976	−	0.993823i	$-0.535398\pi$
$757$	−6.10672			−0.221952			−0.110976	+	0.993823i	$0.535398\pi$
$758$	−11.4020	+	8.28400i	−0.414138	+	0.300889i
$759$	3.70896	+	11.4150i	0.134627	+	0.414338i
$760$	2.25203	−	27.3136i	0.0816896	−	0.990767i
$761$	6.13270	−	18.8745i	0.222310	−	0.684200i	−0.776243	−	0.630433i	$-0.782877\pi$
$761$	6.13270	−	18.8745i	0.222310	−	0.684200i	0.998554	−	0.0537669i	$-0.0171228\pi$
$762$	3.16461	+	9.73967i	0.114642	+	0.352831i
$763$	−2.87007	−	8.83315i	−0.103903	−	0.319782i
$764$	−0.374858	+	1.15369i	−0.0135619	+	0.0417392i
$765$	4.96532	+	2.07841i	0.179522	+	0.0751450i
$766$	−2.71446	−	8.35424i	−0.0980773	−	0.301851i
$767$	4.94596	−	3.59345i	0.178588	−	0.129752i
$768$	4.75949			0.171743
$769$	18.9009	−	13.7323i	0.681582	−	0.495199i	−0.192300	−	0.981336i	$-0.561595\pi$
$769$	18.9009	−	13.7323i	0.681582	−	0.495199i	0.873882	+	0.486138i	$0.161595\pi$
$770$	1.69062	+	0.707667i	0.0609257	+	0.0255025i
$771$	7.07667	+	5.14150i	0.254860	+	0.185167i
$772$	18.1734	+	13.2038i	0.654076	+	0.475214i
$773$	−15.9550	+	49.1046i	−0.573863	+	1.76617i	0.0661545	+	0.997809i	$0.478927\pi$
$773$	−15.9550	+	49.1046i	−0.573863	+	1.76617i	−0.640018	+	0.768360i	$0.721073\pi$
$774$	−0.644946			−0.0231821
$775$	−2.83548	+	5.46392i	−0.101853	+	0.196270i
$776$	29.1357			1.04591
$777$	−2.24821	+	6.91928i	−0.0806541	+	0.248228i
$778$	−14.5244	−	10.5526i	−0.520724	−	0.378328i
$779$	33.0215	+	23.9915i	1.18312	+	0.859585i
$780$	−2.90322	+	3.37370i	−0.103952	+	0.120798i
$781$	7.65152	−	5.55915i	0.273793	−	0.198922i
$782$	11.9521			0.427407
$783$	−4.58973	+	3.33464i	−0.164024	+	0.119170i
$784$	0.642945	+	1.97878i	0.0229623	+	0.0706708i
$785$	−41.6317	+	9.83101i	−1.48590	+	0.350884i
$786$	1.62528	−	5.00210i	0.0579719	−	0.178419i
$787$	−1.12619	−	3.46607i	−0.0401445	−	0.123552i	0.928976	−	0.370140i	$-0.120690\pi$
$787$	−1.12619	−	3.46607i	−0.0401445	−	0.123552i	−0.969120	+	0.246588i	$0.920690\pi$
$788$	−0.852709	−	2.62437i	−0.0303765	−	0.0934892i
$789$	−1.51962	+	4.67692i	−0.0541000	+	0.166503i
$790$	−1.85920	+	2.16049i	−0.0661472	+	0.0768668i
$791$	4.19985	+	12.9258i	0.149330	+	0.459589i
$792$	2.42756	−	1.76372i	0.0862595	−	0.0626712i
$793$	−17.6982			−0.628482
$794$	1.81217	−	1.31662i	0.0643114	−	0.0467249i
$795$	12.1969	+	20.0710i	0.432579	+	0.711844i
$796$	24.5452	+	17.8331i	0.869980	+	0.632078i
$797$	23.6079	+	17.1522i	0.836235	+	0.607560i	0.921316	−	0.388814i	$-0.127115\pi$
$797$	23.6079	+	17.1522i	0.836235	+	0.607560i	−0.0850813	+	0.996374i	$0.527115\pi$
$798$	−1.03456	+	3.18404i	−0.0366229	+	0.112714i
$799$	−5.94497			−0.210318
$800$	−24.4830	+	12.2458i	−0.865604	+	0.432955i
$801$	17.8929			0.632215
$802$	0.949836	−	2.92330i	0.0335399	−	0.103225i
$803$	7.43195	+	5.39963i	0.262268	+	0.190549i
$804$	−13.0249	−	9.46317i	−0.459354	−	0.333740i
$805$	−1.56674	+	19.0021i	−0.0552202	+	0.669735i
$806$	0.695057	−	0.504988i	0.0244823	−	0.0177875i
$807$	−22.8924			−0.805852
$808$	6.35463	−	4.61691i	0.223555	−	0.162422i
$809$	−15.0270	−	46.2484i	−0.528322	−	1.62601i	−0.757652	−	0.652658i	$-0.773654\pi$
$809$	−15.0270	−	46.2484i	−0.528322	−	1.62601i	0.229331	−	0.973349i	$-0.426346\pi$
$810$	−0.676170	−	1.11269i	−0.0237582	−	0.0390960i
$811$	−12.4517	+	38.3223i	−0.437238	+	1.34568i	0.453539	+	0.891237i	$0.350161\pi$
$811$	−12.4517	+	38.3223i	−0.437238	+	1.34568i	−0.890776	+	0.454442i	$0.849839\pi$
$812$	−2.91183	−	8.96171i	−0.102185	−	0.314494i
$813$	2.45250	+	7.54801i	0.0860128	+	0.264720i
$814$	−1.84271	+	5.67127i	−0.0645868	+	0.198778i
$815$	12.4688	+	20.5183i	0.436761	+	0.718726i
$816$	1.54773	+	4.76342i	0.0541813	+	0.166753i
$817$	−5.15203	+	3.74317i	−0.180247	+	0.130957i
$818$	18.5150			0.647361
$819$	0.969542	−	0.704413i	0.0338785	−	0.0246142i
$820$	2.16654	−	26.2768i	0.0756590	−	0.917625i
$821$	22.9367	+	16.6645i	0.800495	+	0.581594i	0.911059	−	0.412275i	$-0.135266\pi$
$821$	22.9367	+	16.6645i	0.800495	+	0.581594i	−0.110564	+	0.993869i	$0.535266\pi$
$822$	−7.01792	−	5.09882i	−0.244778	−	0.177842i
$823$	1.82773	−	5.62518i	0.0637107	−	0.196081i	−0.914134	−	0.405411i	$-0.867128\pi$
$823$	1.82773	−	5.62518i	0.0637107	−	0.196081i	0.977845	+	0.209330i	$0.0671283\pi$
$824$	14.5409			0.506557
$825$	−3.24184	+	6.24697i	−0.112866	+	0.217492i
$826$	−2.97044			−0.103355
$827$	1.91186	−	5.88410i	0.0664819	−	0.204610i	−0.912297	−	0.409529i	$-0.865693\pi$
$827$	1.91186	−	5.88410i	0.0664819	−	0.204610i	0.978779	+	0.204919i	$0.0656931\pi$
$828$	11.4577	+	8.32454i	0.398184	+	0.289298i
$829$	6.80677	+	4.94541i	0.236409	+	0.171761i	0.699682	−	0.714454i	$-0.253325\pi$
$829$	6.80677	+	4.94541i	0.236409	+	0.171761i	−0.463273	+	0.886216i	$0.653325\pi$
$830$	9.04139	+	14.8783i	0.313831	+	0.516434i
$831$	−11.8396	+	8.60194i	−0.410709	+	0.298398i
$832$	−1.16635			−0.0404358
$833$	1.94750	−	1.41495i	0.0674770	−	0.0490249i
$834$	1.48543	+	4.57169i	0.0514363	+	0.158305i
$835$	−10.8298	+	12.5848i	−0.374779	+	0.435515i
$836$	4.15388	−	12.7843i	0.143665	−	0.442155i
$837$	−0.380452	−	1.17091i	−0.0131503	−	0.0404726i
$838$	−0.830243	−	2.55522i	−0.0286803	−	0.0882688i
$839$	−4.89329	+	15.0600i	−0.168935	+	0.519929i	−0.999305	−	0.0372843i	$-0.988129\pi$
$839$	−4.89329	+	15.0600i	−0.168935	+	0.519929i	0.830370	+	0.557213i	$0.188129\pi$
$840$	4.63908	−	1.09548i	0.160063	−	0.0377978i
$841$	0.984360	+	3.02955i	0.0339434	+	0.104467i
$842$	11.1862	−	8.12727i	0.385503	−	0.280084i
$843$	7.44870			0.256547
$844$	−24.2972	+	17.6529i	−0.836344	+	0.607639i
$845$	16.8662	−	19.5994i	0.580214	−	0.674242i
$846$	1.16339	+	0.845249i	0.0399980	+	0.0290603i
$847$	−7.29623	−	5.30102i	−0.250701	−	0.182145i
$848$	−6.75312	+	20.7840i	−0.231903	+	0.713724i
$849$	4.12099			0.141432
$850$	4.91873	+	4.99257i	0.168711	+	0.171244i
$851$	−62.0357			−2.12656
$852$	3.44861	−	10.6137i	0.118148	−	0.363621i
$853$	12.5604	+	9.12570i	0.430061	+	0.312458i	0.781673	−	0.623688i	$-0.214366\pi$
$853$	12.5604	+	9.12570i	0.430061	+	0.312458i	−0.351612	+	0.936146i	$0.614366\pi$
$854$	6.95688	+	5.05447i	0.238060	+	0.172960i
$855$	−11.8594	−	4.96415i	−0.405582	−	0.169770i
$856$	7.02578	−	5.10453i	0.240136	−	0.174469i
$857$	−41.1279			−1.40490			−0.702451	−	0.711732i	$-0.747911\pi$
$857$	−41.1279			−1.40490			−0.702451	+	0.711732i	$0.747911\pi$
$858$	0.794668	−	0.577360i	0.0271295	−	0.0197107i
$859$	11.0330	+	33.9562i	0.376443	+	1.15857i	0.942500	+	0.334206i	$0.108468\pi$
$859$	11.0330	+	33.9562i	0.376443	+	1.15857i	−0.566058	+	0.824366i	$0.691532\pi$
$860$	3.79461	+	1.58837i	0.129395	+	0.0541628i
$861$	−2.19375	+	6.75165i	−0.0747626	+	0.230096i
$862$	−0.00474860	−	0.0146147i	−0.000161738	−	0.000497778i
$863$	−7.22234	−	22.2281i	−0.245851	−	0.756652i	−0.995495	−	0.0948112i	$-0.969775\pi$
$863$	−7.22234	−	22.2281i	−0.245851	−	0.756652i	0.749644	−	0.661841i	$-0.230225\pi$
$864$	1.69185	−	5.20699i	0.0575580	−	0.177145i
$865$	−1.06653	+	12.9354i	−0.0362631	+	0.439815i
$866$	1.99952	+	6.15389i	0.0679464	+	0.209118i
$867$	−9.06516	+	6.58622i	−0.307869	+	0.223680i
$868$	2.04490			0.0694084
$869$	−2.49294	+	1.81123i	−0.0845672	+	0.0614417i
$870$	−7.18900	+	1.69763i	−0.243730	+	0.0575550i
$871$	−9.39788	−	6.82796i	−0.318435	−	0.231356i
$872$	−16.0176	−	11.6374i	−0.542423	−	0.394094i
$873$	4.22356	−	12.9988i	0.142946	−	0.439942i
$874$	−28.5469			−0.965613
$875$	−8.58221	+	7.16559i	−0.290132	+	0.242241i
$876$	10.8397			0.366239
$877$	6.07272	−	18.6899i	0.205061	−	0.631113i	−0.794650	−	0.607068i	$-0.792345\pi$
$877$	6.07272	−	18.6899i	0.205061	−	0.631113i	0.999711	−	0.0240450i	$-0.00765451\pi$
$878$	−10.0058	−	7.26965i	−0.337680	−	0.245339i
$879$	−7.18877	−	5.22295i	−0.242471	−	0.176166i
$880$	−6.37346	+	1.50505i	−0.214849	+	0.0507351i
$881$	35.5186	−	25.8058i	1.19665	−	0.869420i	0.202702	−	0.979240i	$-0.435028\pi$
$881$	35.5186	−	25.8058i	1.19665	−	0.869420i	0.993951	+	0.109821i	$0.0350277\pi$
$882$	−0.582287			−0.0196066
$883$	41.3766	−	30.0618i	1.39243	−	1.01166i	0.396839	−	0.917888i	$-0.370107\pi$
$883$	41.3766	−	30.0618i	1.39243	−	1.01166i	0.995594	−	0.0937738i	$-0.0298930\pi$
$884$	1.48070	+	4.55712i	0.0498013	+	0.153273i
$885$	0.937331	−	11.3684i	0.0315080	−	0.382143i
$886$	5.74363	−	17.6771i	0.192961	−	0.593873i
$887$	−11.4512	−	35.2432i	−0.384494	−	1.18335i	−0.936847	−	0.349739i	$-0.886270\pi$
$887$	−11.4512	−	35.2432i	−0.384494	−	1.18335i	0.552353	−	0.833610i	$-0.313730\pi$
$888$	4.79255	+	14.7500i	0.160828	+	0.494976i
$889$	−5.43480	+	16.7266i	−0.182277	+	0.560992i
$890$	21.4904	+	8.99555i	0.720360	+	0.301532i
$891$	−0.434975	−	1.33872i	−0.0145722	−	0.0448487i
$892$	19.7256	−	14.3315i	0.660463	−	0.479854i
$893$	14.1992			0.475158
$894$	−2.74273	+	1.99271i	−0.0917307	+	0.0666462i
$895$	12.0336	+	5.03706i	0.402238	+	0.168370i
$896$	9.31713	+	6.76929i	0.311263	+	0.226146i
$897$	8.26711	+	6.00640i	0.276031	+	0.200548i
$898$	−4.75629	+	14.6384i	−0.158719	+	0.488488i
$899$	−6.98469			−0.232952
$900$	1.23800	+	8.21192i	0.0412667	+	0.273731i
$901$	25.2843			0.842343
$902$	−1.79807	+	5.53388i	−0.0598690	+	0.184258i
$903$	−0.896074	−	0.651036i	−0.0298195	−	0.0216651i
$904$	23.4390	+	17.0294i	0.779570	+	0.566391i
$905$	25.6033	−	29.7525i	0.851082	−	0.989006i
$906$	4.64853	−	3.37735i	0.154437	−	0.112205i
$907$	29.3369			0.974115			0.487057	−	0.873370i	$-0.338070\pi$
$907$	29.3369			0.974115			0.487057	+	0.873370i	$0.338070\pi$
$908$	−15.6215	+	11.3497i	−0.518417	+	0.376652i
$909$	−1.13864	−	3.50436i	−0.0377662	−	0.116232i
$910$	1.51861	−	0.358609i	0.0503416	−	0.0118878i
$911$	15.9793	−	49.1791i	0.529416	−	1.62938i	−0.225997	−	0.974128i	$-0.572564\pi$
$911$	15.9793	−	49.1791i	0.529416	−	1.62938i	0.755413	−	0.655248i	$-0.227436\pi$
$912$	−3.69665	−	11.3771i	−0.122408	−	0.376734i
$913$	5.81626	+	17.9006i	0.192490	+	0.592424i
$914$	1.50633	−	4.63600i	0.0498249	−	0.153345i
$915$	−21.5396	+	25.0302i	−0.712076	+	0.827472i
$916$	−0.798755	−	2.45831i	−0.0263916	−	0.0812250i
$917$	7.30747	−	5.30919i	0.241314	−	0.175325i
$918$	−1.40171			−0.0462633
$919$	36.5980	−	26.5900i	1.20726	−	0.877124i	0.212278	−	0.977209i	$-0.431912\pi$
$919$	36.5980	−	26.5900i	1.20726	−	0.877124i	0.994979	+	0.100085i	$0.0319116\pi$
$920$	21.1075	+	34.7340i	0.695892	+	1.14515i
$921$	−20.8274	−	15.1320i	−0.686286	−	0.498616i
$922$	13.7755	+	10.0085i	0.453673	+	0.329613i
$923$	2.48828	−	7.65813i	0.0819026	−	0.252070i
$924$	2.33796			0.0769132
$925$	−25.5300	−	25.9132i	−0.839420	−	0.852021i
$926$	−19.8394			−0.651963
$927$	2.10788	−	6.48737i	0.0692317	−	0.213073i
$928$	−25.1286	−	18.2570i	−0.824885	−	0.599314i
$929$	44.1780	+	32.0972i	1.44943	+	1.05308i	0.985963	+	0.166964i	$0.0533963\pi$
$929$	44.1780	+	32.0972i	1.44943	+	1.05308i	0.463471	+	0.886112i	$0.346604\pi$
$930$	0.131723	−	1.59760i	0.00431938	−	0.0523873i
$931$	−4.65149	+	3.37951i	−0.152447	+	0.110759i
$932$	−32.6248			−1.06866
$933$	−4.76080	+	3.45893i	−0.155862	+	0.113240i
$934$	3.06017	+	9.41822i	0.100132	+	0.308174i
$935$	3.93480	+	6.47502i	0.128682	+	0.211756i
$936$	0.789443	−	2.42966i	0.0258038	−	0.0794158i
$937$	−7.28730	−	22.4280i	−0.238066	−	0.732691i	−0.996700	−	0.0811744i	$-0.974133\pi$
$937$	−7.28730	−	22.4280i	−0.238066	−	0.732691i	0.758634	−	0.651517i	$-0.225867\pi$
$938$	1.74414	+	5.36792i	0.0569483	+	0.175269i
$939$	−7.53706	+	23.1967i	−0.245963	+	0.756995i
$940$	−4.76324	−	7.83829i	−0.155360	−	0.255657i
$941$	6.66213	+	20.5039i	0.217179	+	0.668408i	0.998992	+	0.0448950i	$0.0142953\pi$
$941$	6.66213	+	20.5039i	0.217179	+	0.668408i	−0.781813	+	0.623513i	$0.785705\pi$
$942$	9.01191	−	6.54753i	0.293624	−	0.213330i
$943$	−60.5328			−1.97122
$944$	8.58684	−	6.23870i	0.279478	−	0.203053i
$945$	0.183742	−	2.22851i	0.00597713	−	0.0724933i
$946$	−0.734451	−	0.533610i	−0.0238791	−	0.0173492i
$947$	25.6656	+	18.6471i	0.834020	+	0.605951i	0.920694	−	0.390286i	$-0.127624\pi$
$947$	25.6656	+	18.6471i	0.834020	+	0.605951i	−0.0866738	+	0.996237i	$0.527624\pi$
$948$	−1.12359	+	3.45806i	−0.0364926	+	0.112313i
$949$	7.82116			0.253886
$950$	−11.7481	−	11.9244i	−0.381158	−	0.386880i
$951$	3.79102			0.122932
$952$	1.58574	−	4.88042i	0.0513942	−	0.158175i
$953$	−31.6201	−	22.9733i	−1.02428	−	0.744180i	−0.0571206	−	0.998367i	$-0.518192\pi$
$953$	−31.6201	−	22.9733i	−1.02428	−	0.744180i	−0.967155	+	0.254188i	$0.918192\pi$
$954$	−4.94794	−	3.59489i	−0.160196	−	0.116389i
$955$	0.848103	+	1.39562i	0.0274440	+	0.0451612i
$956$	−13.4140	+	9.74581i	−0.433838	+	0.315202i
$957$	−7.98568			−0.258141
$958$	6.01733	−	4.37185i	0.194411	−	0.141248i
$959$	−4.60359	−	14.1684i	−0.148658	−	0.457521i
$960$	−1.41950	+	1.64954i	−0.0458142	+	0.0532387i
$961$	−9.11113	+	28.0412i	−0.293907	+	0.904554i
$962$	1.56885	+	4.82844i	0.0505819	+	0.155675i
$963$	−1.25889	−	3.87448i	−0.0405673	−	0.124853i
$964$	−2.32215	+	7.14685i	−0.0747915	+	0.230184i
$965$	29.4324	−	6.95025i	0.947463	−	0.223736i
$966$	−1.53429	−	4.72205i	−0.0493648	−	0.151929i
$967$	30.3962	−	22.0841i	0.977477	−	0.710178i	0.0203333	−	0.999793i	$-0.493527\pi$
$967$	30.3962	−	22.0841i	0.977477	−	0.710178i	0.957143	+	0.289615i	$0.0935273\pi$
$968$	−19.2252			−0.617921
$969$	−11.1973	+	8.13532i	−0.359709	+	0.261344i
$970$	11.6078	−	13.4889i	0.372703	−	0.433102i
$971$	34.2564	+	24.8887i	1.09934	+	0.798717i	0.980952	−	0.194250i	$-0.0622275\pi$
$971$	34.2564	+	24.8887i	1.09934	+	0.798717i	0.118388	+	0.992967i	$0.462227\pi$
$972$	−1.34373	−	0.976277i	−0.0431002	−	0.0313141i
$973$	−2.55103	+	7.85127i	−0.0817823	+	0.251700i
$974$	−15.4769			−0.495912
$975$	0.893254	+	5.92514i	0.0286070	+	0.189756i
$976$	−30.7264			−0.983528
$977$	−4.55909	+	14.0314i	−0.145858	+	0.448906i	−0.997120	−	0.0758350i	$-0.975838\pi$
$977$	−4.55909	+	14.0314i	−0.145858	+	0.448906i	0.851262	+	0.524741i	$0.175838\pi$
$978$	−5.05823	−	3.67502i	−0.161744	−	0.117514i
$979$	20.3761	+	14.8041i	0.651223	+	0.473141i
$980$	3.42595	+	1.43405i	0.109438	+	0.0458090i
$981$	−7.51393	+	5.45919i	−0.239901	+	0.174298i
$982$	4.71311			0.150401
$983$	17.1949	−	12.4928i	0.548433	−	0.398460i	−0.278774	−	0.960357i	$-0.589928\pi$
$983$	17.1949	−	12.4928i	0.548433	−	0.398460i	0.827207	+	0.561897i	$0.189928\pi$
$984$	4.67645	+	14.3926i	0.149080	+	0.458820i
$985$	−3.42681	−	1.43441i	−0.109187	−	0.0457041i
$986$	−2.45737	+	7.56300i	−0.0782585	+	0.240855i
$987$	0.763153	+	2.34874i	0.0242914	+	0.0747613i
$988$	−3.53656	−	10.8844i	−0.112513	−	0.346279i
$989$	2.91847	−	8.98214i	0.0928020	−	0.285615i
$990$	0.150601	−	1.82656i	0.00478642	−	0.0580518i
$991$	−16.1779	−	49.7904i	−0.513907	−	1.58164i	−0.785262	−	0.619164i	$-0.787472\pi$
$991$	−16.1779	−	49.7904i	−0.513907	−	1.58164i	0.271355	−	0.962479i	$-0.412528\pi$
$992$	5.45324	−	3.96201i	0.173141	−	0.125794i
$993$	20.3805			0.646756
$994$	−3.16521	+	2.29966i	−0.100394	+	0.0729407i
$995$	39.7517	−	9.38707i	1.26021	−	0.297590i
$996$	17.9677	+	13.0543i	0.569327	+	0.413640i
$997$	−27.6338	−	20.0771i	−0.875170	−	0.635848i	0.0567993	−	0.998386i	$-0.481910\pi$
$997$	−27.6338	−	20.0771i	−0.875170	−	0.635848i	−0.931969	+	0.362537i	$0.881910\pi$
$998$	3.34744	−	10.3024i	0.105961	−	0.326116i
$999$	7.27536			0.230182

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.n.b.421.3	yes	20
25.6	even	5	inner	525.2.n.b.106.3	✓	20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.n.b.106.3	✓	20	25.6	even	5	inner
525.2.n.b.421.3	yes	20	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.n (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.179936 + 0.553787i) q^{2} +(0.809017 + 0.587785i) q^{3} +(1.34373 + 0.976277i) q^{4} +(2.17621 - 0.513897i) q^{5} +(-0.471080 + 0.342259i) q^{6} -1.00000 q^{7} +(-1.72460 + 1.25299i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(-0.179936 + 0.553787i) q^{2} +(0.809017 + 0.587785i) q^{3} +(1.34373 + 0.976277i) q^{4} +(2.17621 - 0.513897i) q^{5} +(-0.471080 + 0.342259i) q^{6} -1.00000 q^{7} +(-1.72460 + 1.25299i) q^{8} +(0.309017 + 0.951057i) q^{9} +(-0.106991 + 1.29763i) q^{10} +(-0.434975 + 1.33872i) q^{11} +(0.513259 + 1.57965i) q^{12} +(0.370332 + 1.13976i) q^{13} +(0.179936 - 0.553787i) q^{14} +(2.06266 + 0.863395i) q^{15} +(0.642945 + 1.97878i) q^{16} +(1.94750 - 1.41495i) q^{17} -0.582287 q^{18} +(-4.65149 + 3.37951i) q^{19} +(3.42595 + 1.43405i) q^{20} +(-0.809017 - 0.587785i) q^{21} +(-0.663097 - 0.481768i) q^{22} +(2.63493 - 8.10949i) q^{23} -2.13172 q^{24} +(4.47182 - 2.23670i) q^{25} -0.697824 q^{26} +(-0.309017 + 0.951057i) q^{27} +(-1.34373 - 0.976277i) q^{28} +(4.58973 + 3.33464i) q^{29} +(-0.849285 + 0.986917i) q^{30} +(-0.996035 + 0.723662i) q^{31} -5.47495 q^{32} +(-1.13878 + 0.827372i) q^{33} +(0.433152 + 1.33310i) q^{34} +(-2.17621 + 0.513897i) q^{35} +(-0.513259 + 1.57965i) q^{36} +(-2.24821 - 6.91928i) q^{37} +(-1.03456 - 3.18404i) q^{38} +(-0.370332 + 1.13976i) q^{39} +(-3.10918 + 3.61304i) q^{40} +(-2.19375 - 6.75165i) q^{41} +(0.471080 - 0.342259i) q^{42} +1.10761 q^{43} +(-1.89145 + 1.37422i) q^{44} +(1.16123 + 1.91090i) q^{45} +(4.01681 + 2.91838i) q^{46} +(-1.99796 - 1.45160i) q^{47} +(-0.642945 + 1.97878i) q^{48} +1.00000 q^{49} +(0.434013 + 2.87890i) q^{50} +2.40725 q^{51} +(-0.615100 + 1.89308i) q^{52} +(8.49744 + 6.17375i) q^{53} +(-0.471080 - 0.342259i) q^{54} +(-0.258637 + 3.13687i) q^{55} +(1.72460 - 1.25299i) q^{56} -5.74956 q^{57} +(-2.67254 + 1.94171i) q^{58} +(-1.57640 - 4.85166i) q^{59} +(1.92874 + 3.17389i) q^{60} +(-4.56355 + 14.0452i) q^{61} +(-0.221532 - 0.681805i) q^{62} +(-0.309017 - 0.951057i) q^{63} +(-0.300747 + 0.925604i) q^{64} +(1.39164 + 2.29006i) q^{65} +(-0.253280 - 0.779517i) q^{66} +(-7.84189 + 5.69747i) q^{67} +3.99830 q^{68} +(6.89834 - 5.01194i) q^{69} +(0.106991 - 1.29763i) q^{70} +(-5.43582 - 3.94936i) q^{71} +(-1.72460 - 1.25299i) q^{72} +(2.01672 - 6.20682i) q^{73} +4.23635 q^{74} +(4.93248 + 0.818941i) q^{75} -9.54969 q^{76} +(0.434975 - 1.33872i) q^{77} +(-0.564551 - 0.410170i) q^{78} +(1.77104 + 1.28674i) q^{79} +(2.41608 + 3.97585i) q^{80} +(-0.809017 + 0.587785i) q^{81} +4.13372 q^{82} +(10.8177 - 7.85955i) q^{83} +(-0.513259 - 1.57965i) q^{84} +(3.51105 - 4.08004i) q^{85} +(-0.199299 + 0.613380i) q^{86} +(1.75312 + 5.39556i) q^{87} +(-0.927245 - 2.85377i) q^{88} +(5.52922 - 17.0172i) q^{89} +(-1.26718 + 0.299235i) q^{90} +(-0.370332 - 1.13976i) q^{91} +(11.4577 - 8.32454i) q^{92} -1.23117 q^{93} +(1.16339 - 0.845249i) q^{94} +(-8.38593 + 9.74493i) q^{95} +(-4.42933 - 3.21809i) q^{96} +(-11.0574 - 8.03368i) q^{97} +(-0.179936 + 0.553787i) q^{98} -1.40761 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9} - 15 q^{10} + 12 q^{11} + 5 q^{12} - 17 q^{13} + 2 q^{14} + 15 q^{15} - 28 q^{16} - 9 q^{17} - 2 q^{18} - 9 q^{19} - 20 q^{20} - 5 q^{21} - 21 q^{22} + 7 q^{23} + 6 q^{24} - 15 q^{25} - 20 q^{26} + 5 q^{27} + 28 q^{29} + 6 q^{31} - 4 q^{32} + 3 q^{33} - 5 q^{35} - 5 q^{36} - 5 q^{37} - 6 q^{38} + 17 q^{39} - 10 q^{40} + 11 q^{41} + 3 q^{42} + 28 q^{43} - 17 q^{44} + 5 q^{45} - 43 q^{46} - 24 q^{47} + 28 q^{48} + 20 q^{49} + 10 q^{50} - 36 q^{51} - 9 q^{52} - 26 q^{53} - 3 q^{54} - 25 q^{55} - 4 q^{56} + 24 q^{57} - 16 q^{58} + 64 q^{59} + 5 q^{60} + 8 q^{61} + 27 q^{62} + 5 q^{63} + 26 q^{64} + 25 q^{65} - 4 q^{66} - 3 q^{67} + 80 q^{68} - 2 q^{69} + 15 q^{70} + 19 q^{71} + 4 q^{72} + 31 q^{73} + 8 q^{74} - 5 q^{75} - 72 q^{76} - 12 q^{77} - 30 q^{78} + 43 q^{79} - 25 q^{80} - 5 q^{81} - 6 q^{82} + 32 q^{83} - 5 q^{84} + 35 q^{85} + 53 q^{86} + 17 q^{87} - 61 q^{88} - 47 q^{89} + 10 q^{90} + 17 q^{91} + 41 q^{92} + 4 q^{93} + 12 q^{94} - 40 q^{95} - 6 q^{96} - 45 q^{97} - 2 q^{98} - 18 q^{99}+O(q^{100}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9 - 15 * q^10 + 12 * q^11 + 5 * q^12 - 17 * q^13 + 2 * q^14 + 15 * q^15 - 28 * q^16 - 9 * q^17 - 2 * q^18 - 9 * q^19 - 20 * q^20 - 5 * q^21 - 21 * q^22 + 7 * q^23 + 6 * q^24 - 15 * q^25 - 20 * q^26 + 5 * q^27 + 28 * q^29 + 6 * q^31 - 4 * q^32 + 3 * q^33 - 5 * q^35 - 5 * q^36 - 5 * q^37 - 6 * q^38 + 17 * q^39 - 10 * q^40 + 11 * q^41 + 3 * q^42 + 28 * q^43 - 17 * q^44 + 5 * q^45 - 43 * q^46 - 24 * q^47 + 28 * q^48 + 20 * q^49 + 10 * q^50 - 36 * q^51 - 9 * q^52 - 26 * q^53 - 3 * q^54 - 25 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 + 64 * q^59 + 5 * q^60 + 8 * q^61 + 27 * q^62 + 5 * q^63 + 26 * q^64 + 25 * q^65 - 4 * q^66 - 3 * q^67 + 80 * q^68 - 2 * q^69 + 15 * q^70 + 19 * q^71 + 4 * q^72 + 31 * q^73 + 8 * q^74 - 5 * q^75 - 72 * q^76 - 12 * q^77 - 30 * q^78 + 43 * q^79 - 25 * q^80 - 5 * q^81 - 6 * q^82 + 32 * q^83 - 5 * q^84 + 35 * q^85 + 53 * q^86 + 17 * q^87 - 61 * q^88 - 47 * q^89 + 10 * q^90 + 17 * q^91 + 41 * q^92 + 4 * q^93 + 12 * q^94 - 40 * q^95 - 6 * q^96 - 45 * q^97 - 2 * q^98 - 18 * q^99

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