LMFDB - Embedded newform 731.2.k.a.35.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (of order $7$, degree $6$, 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:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			35.8
Character	$\chi$	$=$	731.35
Dual form			731.2.k.a.188.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.376167 + 1.64810i) q^{2} +(0.312756 + 1.37027i) q^{3} +(-0.772785 - 0.372154i) q^{4} +(1.51766 - 1.90309i) q^{5} -2.37599 q^{6} +1.98101 q^{7} +(-1.20395 + 1.50971i) q^{8} +(0.923074 - 0.444529i) q^{9} +O(q^{10})$	\(q+(-0.376167 + 1.64810i) q^{2} +(0.312756 + 1.37027i) q^{3} +(-0.772785 - 0.372154i) q^{4} +(1.51766 - 1.90309i) q^{5} -2.37599 q^{6} +1.98101 q^{7} +(-1.20395 + 1.50971i) q^{8} +(0.923074 - 0.444529i) q^{9} +(2.56558 + 3.21713i) q^{10} +(-1.58866 + 0.765056i) q^{11} +(0.268259 - 1.17532i) q^{12} +(2.50522 - 3.14145i) q^{13} +(-0.745193 + 3.26490i) q^{14} +(3.08241 + 1.48441i) q^{15} +(-3.10483 - 3.89333i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.385397 + 1.68853i) q^{18} +(6.77092 + 3.26070i) q^{19} +(-1.88107 + 0.905874i) q^{20} +(0.619574 + 2.71453i) q^{21} +(-0.663286 - 2.90605i) q^{22} +(-6.27111 + 3.02001i) q^{23} +(-2.44526 - 1.17757i) q^{24} +(-0.205840 - 0.901843i) q^{25} +(4.23503 + 5.31056i) q^{26} +(3.52679 + 4.42246i) q^{27} +(-1.53090 - 0.737242i) q^{28} +(0.828853 - 3.63144i) q^{29} +(-3.60595 + 4.52172i) q^{30} +(-0.710592 + 3.11331i) q^{31} +(4.10500 - 1.97686i) q^{32} +(-1.54520 - 1.93762i) q^{33} +(-1.52307 + 0.733472i) q^{34} +(3.00651 - 3.77004i) q^{35} -0.878771 q^{36} +2.30882 q^{37} +(-7.92096 + 9.93257i) q^{38} +(5.08816 + 2.45033i) q^{39} +(1.04592 + 4.58246i) q^{40} +(-1.27951 + 5.60592i) q^{41} -4.70687 q^{42} +(-3.16932 - 5.74068i) q^{43} +1.51241 q^{44} +(0.554936 - 2.43133i) q^{45} +(-2.61828 - 11.4714i) q^{46} +(9.92279 + 4.77856i) q^{47} +(4.36388 - 5.47213i) q^{48} -3.07559 q^{49} +1.56376 q^{50} +(-0.876323 + 1.09887i) q^{51} +(-3.10510 + 1.49534i) q^{52} +(-6.65846 - 8.34945i) q^{53} +(-8.61530 + 4.14891i) q^{54} +(-0.955072 + 4.18444i) q^{55} +(-2.38505 + 2.99075i) q^{56} +(-2.35041 + 10.2978i) q^{57} +(5.67318 + 2.73206i) q^{58} +(1.90912 + 2.39396i) q^{59} +(-1.82961 - 2.29426i) q^{60} +(-0.821818 - 3.60062i) q^{61} +(-4.86373 - 2.34225i) q^{62} +(1.82862 - 0.880617i) q^{63} +(-0.502304 - 2.20074i) q^{64} +(-2.17637 - 9.53531i) q^{65} +(3.77463 - 1.81777i) q^{66} +(-3.99750 - 1.92509i) q^{67} +(-0.190862 - 0.836222i) q^{68} +(-6.09957 - 7.64861i) q^{69} +(5.08244 + 6.37318i) q^{70} +(-11.6196 - 5.59570i) q^{71} +(-0.440228 + 1.92876i) q^{72} +(0.0959713 - 0.120344i) q^{73} +(-0.868505 + 3.80517i) q^{74} +(1.17139 - 0.564113i) q^{75} +(-4.01899 - 5.03965i) q^{76} +(-3.14715 + 1.51559i) q^{77} +(-5.95239 + 7.46406i) q^{78} -9.37167 q^{79} -12.1214 q^{80} +(-3.04059 + 3.81278i) q^{81} +(-8.75779 - 4.21753i) q^{82} +(-2.30282 - 10.0893i) q^{83} +(0.531425 - 2.32833i) q^{84} +2.43414 q^{85} +(10.6534 - 3.06389i) q^{86} +5.23529 q^{87} +(0.757654 - 3.31950i) q^{88} +(-0.558867 - 2.44855i) q^{89} +(3.79833 + 1.82918i) q^{90} +(4.96287 - 6.22325i) q^{91} +5.97013 q^{92} -4.48833 q^{93} +(-11.6082 + 14.5562i) q^{94} +(16.4814 - 7.93701i) q^{95} +(3.99271 + 5.00670i) q^{96} +(7.71927 - 3.71741i) q^{97} +(1.15694 - 5.06887i) q^{98} +(-1.12636 + 1.41241i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) $ 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.376167	+	1.64810i	−0.265991	+	1.16538i	0.648642	+	0.761094i	$0.275337\pi$
$2$	−0.376167	+	1.64810i	−0.265991	+	1.16538i	−0.914632	+	0.404287i	$0.867520\pi$
$3$	0.312756	+	1.37027i	0.180570	+	0.791128i	0.981359	+	0.192182i	$0.0615564\pi$
$3$	0.312756	+	1.37027i	0.180570	+	0.791128i	−0.800790	+	0.598946i	$0.795586\pi$
$4$	−0.772785	−	0.372154i	−0.386393	−	0.186077i
$5$	1.51766	−	1.90309i	0.678719	−	0.851086i	−0.316517	−	0.948587i	$-0.602513\pi$
$5$	1.51766	−	1.90309i	0.678719	−	0.851086i	0.995235	+	0.0975006i	$0.0310848\pi$
$6$	−2.37599			−0.969995
$7$	1.98101			0.748753			0.374376	−	0.927277i	$-0.377857\pi$
$7$	1.98101			0.748753			0.374376	+	0.927277i	$0.377857\pi$
$8$	−1.20395	+	1.50971i	−0.425662	+	0.533763i
$9$	0.923074	−	0.444529i	0.307691	−	0.148176i
$10$	2.56558	+	3.21713i	0.811307	+	1.01735i
$11$	−1.58866	+	0.765056i	−0.478998	+	0.230673i	−0.657772	−	0.753217i	$-0.728501\pi$
$11$	−1.58866	+	0.765056i	−0.478998	+	0.230673i	0.178775	+	0.983890i	$0.442787\pi$
$12$	0.268259	−	1.17532i	0.0774398	−	0.339286i
$13$	2.50522	−	3.14145i	0.694823	−	0.871281i	−0.301802	−	0.953371i	$-0.597588\pi$
$13$	2.50522	−	3.14145i	0.694823	−	0.871281i	0.996625	+	0.0820900i	$0.0261595\pi$
$14$	−0.745193	+	3.26490i	−0.199161	+	0.872582i
$15$	3.08241	+	1.48441i	0.795874	+	0.383273i
$16$	−3.10483	−	3.89333i	−0.776207	−	0.973333i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$18$	0.385397	+	1.68853i	0.0908388	+	0.397991i
$19$	6.77092	+	3.26070i	1.55336	+	0.748057i	0.996582	−	0.0826078i	$-0.0263249\pi$
$19$	6.77092	+	3.26070i	1.55336	+	0.748057i	0.556773	+	0.830664i	$0.312039\pi$
$20$	−1.88107	+	0.905874i	−0.420620	+	0.202560i
$21$	0.619574	+	2.71453i	0.135202	+	0.592359i
$22$	−0.663286	−	2.90605i	−0.141413	−	0.619571i
$23$	−6.27111	+	3.02001i	−1.30762	+	0.629715i	−0.952338	−	0.305045i	$-0.901329\pi$
$23$	−6.27111	+	3.02001i	−1.30762	+	0.629715i	−0.355280	+	0.934760i	$0.615614\pi$
$24$	−2.44526	−	1.17757i	−0.499136	−	0.240371i
$25$	−0.205840	−	0.901843i	−0.0411679	−	0.180369i
$26$	4.23503	+	5.31056i	0.830557	+	1.04149i
$27$	3.52679	+	4.42246i	0.678731	+	0.851102i
$28$	−1.53090	−	0.737242i	−0.289313	−	0.139326i
$29$	0.828853	−	3.63144i	0.153914	−	0.674342i	−0.837811	−	0.545961i	$-0.816165\pi$
$29$	0.828853	−	3.63144i	0.153914	−	0.674342i	0.991725	−	0.128381i	$-0.0409780\pi$
$30$	−3.60595	+	4.52172i	−0.658354	+	0.825549i
$31$	−0.710592	+	3.11331i	−0.127626	+	0.559167i	0.870166	+	0.492758i	$0.164011\pi$
$31$	−0.710592	+	3.11331i	−0.127626	+	0.559167i	−0.997793	+	0.0664086i	$0.978846\pi$
$32$	4.10500	−	1.97686i	0.725668	−	0.349463i
$33$	−1.54520	−	1.93762i	−0.268984	−	0.337296i
$34$	−1.52307	+	0.733472i	−0.261205	+	0.125789i
$35$	3.00651	−	3.77004i	0.508192	−	0.637253i
$36$	−0.878771			−0.146462
$37$	2.30882			0.379568			0.189784	−	0.981826i	$-0.439221\pi$
$37$	2.30882			0.379568			0.189784	+	0.981826i	$0.439221\pi$
$38$	−7.92096	+	9.93257i	−1.28495	+	1.61127i
$39$	5.08816	+	2.45033i	0.814758	+	0.392367i
$40$	1.04592	+	4.58246i	0.165374	+	0.724550i
$41$	−1.27951	+	5.60592i	−0.199827	+	0.875497i	0.771213	+	0.636578i	$0.219650\pi$
$41$	−1.27951	+	5.60592i	−0.199827	+	0.875497i	−0.971039	+	0.238920i	$0.923207\pi$
$42$	−4.70687			−0.726286
$43$	−3.16932	−	5.74068i	−0.483317	−	0.875445i
$43$	−3.16932	−	5.74068i	−0.483317	−	0.875445i
$44$	1.51241			0.228004
$45$	0.554936	−	2.43133i	0.0827250	−	0.362442i
$46$	−2.61828	−	11.4714i	−0.386044	−	1.69137i
$47$	9.92279	+	4.77856i	1.44739	+	0.697025i	0.982139	−	0.188155i	$-0.0602509\pi$
$47$	9.92279	+	4.77856i	1.44739	+	0.697025i	0.465248	+	0.885180i	$0.345965\pi$
$48$	4.36388	−	5.47213i	0.629871	−	0.789833i
$49$	−3.07559			−0.439370
$50$	1.56376			0.221148
$51$	−0.876323	+	1.09887i	−0.122710	+	0.153873i
$52$	−3.10510	+	1.49534i	−0.430600	+	0.207366i
$53$	−6.65846	−	8.34945i	−0.914610	−	1.14688i	−0.988741	−	0.149636i	$-0.952190\pi$
$53$	−6.65846	−	8.34945i	−0.914610	−	1.14688i	0.0741312	−	0.997248i	$-0.476382\pi$
$54$	−8.61530	+	4.14891i	−1.17239	+	0.564595i
$55$	−0.955072	+	4.18444i	−0.128782	+	0.564230i
$56$	−2.38505	+	2.99075i	−0.318715	+	0.399656i
$57$	−2.35041	+	10.2978i	−0.311319	+	1.36398i
$58$	5.67318	+	2.73206i	0.744925	+	0.358737i
$59$	1.90912	+	2.39396i	0.248546	+	0.311667i	0.890417	−	0.455146i	$-0.150413\pi$
$59$	1.90912	+	2.39396i	0.248546	+	0.311667i	−0.641871	+	0.766813i	$0.721842\pi$
$60$	−1.82961	−	2.29426i	−0.236202	−	0.296188i
$61$	−0.821818	−	3.60062i	−0.105223	−	0.461012i	−0.999898	−	0.0142942i	$-0.995450\pi$
$61$	−0.821818	−	3.60062i	−0.105223	−	0.461012i	0.894675	−	0.446718i	$-0.147407\pi$
$62$	−4.86373	−	2.34225i	−0.617695	−	0.297466i
$63$	1.82862	−	0.880617i	0.230385	−	0.110947i
$64$	−0.502304	−	2.20074i	−0.0627880	−	0.275092i
$65$	−2.17637	−	9.53531i	−0.269946	−	1.18271i
$66$	3.77463	−	1.81777i	0.464625	−	0.223752i
$67$	−3.99750	−	1.92509i	−0.488372	−	0.235187i	0.173458	−	0.984841i	$-0.444506\pi$
$67$	−3.99750	−	1.92509i	−0.488372	−	0.235187i	−0.661830	+	0.749654i	$0.730220\pi$
$68$	−0.190862	−	0.836222i	−0.0231454	−	0.101407i
$69$	−6.09957	−	7.64861i	−0.734302	−	0.920785i
$70$	5.08244	+	6.37318i	0.607468	+	0.761741i
$71$	−11.6196	−	5.59570i	−1.37899	−	0.664087i	−0.410207	−	0.911992i	$-0.634544\pi$
$71$	−11.6196	−	5.59570i	−1.37899	−	0.664087i	−0.968784	+	0.247905i	$0.920258\pi$
$72$	−0.440228	+	1.92876i	−0.0518814	+	0.227307i
$73$	0.0959713	−	0.120344i	0.0112326	−	0.0140852i	−0.776183	−	0.630507i	$-0.782847\pi$
$73$	0.0959713	−	0.120344i	0.0112326	−	0.0140852i	0.787416	+	0.616422i	$0.211418\pi$
$74$	−0.868505	+	3.80517i	−0.100962	+	0.442342i
$75$	1.17139	−	0.564113i	0.135261	−	0.0651382i
$76$	−4.01899	−	5.03965i	−0.461009	−	0.578087i
$77$	−3.14715	+	1.51559i	−0.358651	+	0.172717i
$78$	−5.95239	+	7.46406i	−0.673975	+	0.845138i
$79$	−9.37167			−1.05440			−0.527198	−	0.849743i	$-0.676757\pi$
$79$	−9.37167			−1.05440			−0.527198	+	0.849743i	$0.676757\pi$
$80$	−12.1214			−1.35522
$81$	−3.04059	+	3.81278i	−0.337843	+	0.423642i
$82$	−8.75779	−	4.21753i	−0.967136	−	0.465748i
$83$	−2.30282	−	10.0893i	−0.252767	−	1.10745i	−0.928802	−	0.370576i	$-0.879160\pi$
$83$	−2.30282	−	10.0893i	−0.252767	−	1.10745i	0.676035	−	0.736869i	$-0.263697\pi$
$84$	0.531425	−	2.32833i	0.0579832	−	0.254041i
$85$	2.43414			0.264020
$86$	10.6534	−	3.06389i	1.14879	−	0.330388i
$87$	5.23529			0.561283
$88$	0.757654	−	3.31950i	0.0807662	−	0.353860i
$89$	−0.558867	−	2.44855i	−0.0592397	−	0.259546i	0.936632	−	0.350314i	$-0.113925\pi$
$89$	−0.558867	−	2.44855i	−0.0592397	−	0.259546i	−0.995872	+	0.0907676i	$0.971068\pi$
$90$	3.79833	+	1.82918i	0.400379	+	0.192812i
$91$	4.96287	−	6.22325i	0.520251	−	0.652374i
$92$	5.97013			0.622429
$93$	−4.48833			−0.465418
$94$	−11.6082	+	14.5562i	−1.19729	+	1.50136i
$95$	16.4814	−	7.93701i	1.69095	−	0.814320i
$96$	3.99271	+	5.00670i	0.407504	+	0.510994i
$97$	7.71927	−	3.71741i	0.783774	−	0.377445i	0.00119661	−	0.999999i	$-0.499619\pi$
$97$	7.71927	−	3.71741i	0.783774	−	0.377445i	0.782577	+	0.622554i	$0.213905\pi$
$98$	1.15694	−	5.06887i	0.116868	−	0.512033i
$99$	−1.12636	+	1.41241i	−0.113203	+	0.141952i
$100$	−0.176554	+	0.773535i	−0.0176554	+	0.0773535i
$101$	−16.9271	−	8.15166i	−1.68431	−	0.811121i	−0.996349	−	0.0853730i	$-0.972792\pi$
$101$	−16.9271	−	8.15166i	−1.68431	−	0.811121i	−0.687961	−	0.725748i	$-0.741494\pi$
$102$	−1.48141	−	1.85763i	−0.146681	−	0.183932i
$103$	6.07551	+	7.61845i	0.598638	+	0.750668i	0.985165	−	0.171610i	$-0.0548968\pi$
$103$	6.07551	+	7.61845i	0.598638	+	0.750668i	−0.386527	+	0.922278i	$0.626325\pi$
$104$	1.72650	+	7.56431i	0.169298	+	0.741742i
$105$	6.10629	+	2.94063i	0.595913	+	0.286976i
$106$	16.2654	−	7.83300i	1.57984	−	0.760808i
$107$	−0.312905	−	1.37093i	−0.0302497	−	0.132533i	0.957548	−	0.288273i	$-0.0930809\pi$
$107$	−0.312905	−	1.37093i	−0.0302497	−	0.132533i	−0.987798	+	0.155740i	$0.950224\pi$
$108$	−1.07962	−	4.73012i	−0.103886	−	0.455156i
$109$	3.10016	−	1.49296i	0.296942	−	0.143000i	−0.279481	−	0.960151i	$-0.590162\pi$
$109$	3.10016	−	1.49296i	0.296942	−	0.143000i	0.576423	+	0.817152i	$0.304448\pi$
$110$	−6.53711	−	3.14810i	−0.623289	−	0.300160i
$111$	0.722099	+	3.16372i	0.0685386	+	0.300287i
$112$	−6.15071	−	7.71274i	−0.581187	−	0.728786i
$113$	8.40423	+	10.5386i	0.790603	+	0.991385i	0.999908	+	0.0135350i	$0.00430844\pi$
$113$	8.40423	+	10.5386i	0.790603	+	0.991385i	−0.209305	+	0.977850i	$0.567120\pi$
$114$	−16.0877	−	7.74741i	−1.50675	−	0.725611i
$115$	−3.77009	+	16.5178i	−0.351562	+	1.54030i
$116$	−1.99198	+	2.49786i	−0.184951	+	0.231921i
$117$	0.916039	−	4.01343i	0.0846879	−	0.371042i
$118$	−4.66362	+	2.24588i	−0.429321	+	0.206750i
$119$	1.23514	+	1.54882i	0.113225	+	0.141980i
$120$	−5.95210	+	2.86638i	−0.543350	+	0.261664i
$121$	−4.91987	+	6.16933i	−0.447261	+	0.560848i
$122$	6.24331			0.565243
$123$	−8.08182			−0.728713
$124$	1.70776	−	2.14147i	0.153362	−	0.192310i
$125$	8.93674	+	4.30371i	0.799326	+	0.384935i
$126$	0.763476	+	3.34501i	0.0680158	+	0.297997i
$127$	2.50618	−	10.9803i	0.222388	−	0.974345i	−0.733287	−	0.679920i	$-0.762015\pi$
$127$	2.50618	−	10.9803i	0.222388	−	0.974345i	0.955674	−	0.294425i	$-0.0951282\pi$
$128$	12.9284			1.14272
$129$	6.87508	−	6.13827i	0.605317	−	0.540444i
$130$	16.5338			1.45011
$131$	−2.97854	+	13.0498i	−0.260236	+	1.14017i	0.660760	+	0.750597i	$0.270234\pi$
$131$	−2.97854	+	13.0498i	−0.260236	+	1.14017i	−0.920996	+	0.389571i	$0.872623\pi$
$132$	0.473015	+	2.07241i	0.0411706	+	0.180380i
$133$	13.4133	+	6.45950i	1.16308	+	0.560109i
$134$	4.67647	−	5.86410i	0.403985	−	0.506581i
$135$	13.7688			1.18503
$136$	−1.93099			−0.165581
$137$	13.7175	−	17.2012i	1.17197	−	1.46960i	0.318911	−	0.947785i	$-0.396683\pi$
$137$	13.7175	−	17.2012i	1.17197	−	1.46960i	0.853057	−	0.521817i	$-0.174746\pi$
$138$	14.9001	−	7.17552i	1.26838	−	0.610821i
$139$	8.05639	+	10.1024i	0.683334	+	0.856874i	0.995657	−	0.0931021i	$-0.0296783\pi$
$139$	8.05639	+	10.1024i	0.683334	+	0.856874i	−0.312322	+	0.949976i	$0.601107\pi$
$140$	−3.72642	+	1.79455i	−0.314940	+	0.151667i
$141$	−3.44453	+	15.0915i	−0.290081	+	1.27093i
$142$	13.5932	−	17.0453i	1.14071	−	1.43041i
$143$	−1.57655	+	6.90731i	−0.131838	+	0.577618i
$144$	−4.59668	−	2.21365i	−0.383057	−	0.184471i
$145$	−5.65303	−	7.08867i	−0.469459	−	0.588682i
$146$	0.162238	+	0.203440i	0.0134269	+	0.0168368i
$147$	−0.961908	−	4.21439i	−0.0793368	−	0.347597i
$148$	−1.78423	−	0.859238i	−0.146662	−	0.0706289i
$149$	−6.79888	+	3.27417i	−0.556986	+	0.268230i	−0.691129	−	0.722732i	$-0.742886\pi$
$149$	−6.79888	+	3.27417i	−0.556986	+	0.268230i	0.134143	+	0.990962i	$0.457172\pi$
$150$	0.489074	+	2.14277i	0.0399327	+	0.174957i
$151$	1.03751	+	4.54565i	0.0844317	+	0.369919i	0.999438	−	0.0335200i	$-0.0106718\pi$
$151$	1.03751	+	4.54565i	0.0844317	+	0.369919i	−0.915006	+	0.403439i	$0.867815\pi$
$152$	−13.0746	+	6.29639i	−1.06049	+	0.510705i
$153$	0.923074	+	0.444529i	0.0746261	+	0.0359380i
$154$	−1.31398	−	5.75692i	−0.105883	−	0.463906i
$155$	4.84646	+	6.07727i	0.389277	+	0.488138i
$156$	−3.02016	−	3.78716i	−0.241806	−	0.303215i
$157$	−17.9766	−	8.65705i	−1.43469	−	0.690908i	−0.454823	−	0.890582i	$-0.650297\pi$
$157$	−17.9766	−	8.65705i	−1.43469	−	0.690908i	−0.979862	+	0.199674i	$0.936012\pi$
$158$	3.52532	−	15.4454i	0.280459	−	1.22877i
$159$	9.35855	−	11.7353i	0.742181	−	0.930666i
$160$	2.46786	−	10.8124i	0.195101	−	0.854794i
$161$	−12.4232	+	5.98268i	−0.979082	+	0.471501i
$162$	−5.14006	−	6.44543i	−0.403841	−	0.506401i
$163$	9.45179	−	4.55174i	0.740321	−	0.356520i	−0.0254130	−	0.999677i	$-0.508090\pi$
$163$	9.45179	−	4.55174i	0.740321	−	0.356520i	0.765734	+	0.643157i	$0.222376\pi$
$164$	3.07505	−	3.85600i	0.240121	−	0.301103i
$165$	−6.03254			−0.469632
$166$	17.4944			1.35783
$167$	3.82148	−	4.79199i	0.295715	−	0.370815i	−0.611671	−	0.791112i	$-0.709503\pi$
$167$	3.82148	−	4.79199i	0.295715	−	0.370815i	0.907387	+	0.420297i	$0.138074\pi$
$168$	−4.84409	−	2.33279i	−0.373730	−	0.179979i
$169$	−0.699788	−	3.06597i	−0.0538299	−	0.235844i
$170$	−0.915644	+	4.01170i	−0.0702267	+	0.307683i
$171$	7.69953			0.588798
$172$	0.312790	+	5.61579i	0.0238500	+	0.428200i
$173$	6.65404			0.505898			0.252949	−	0.967480i	$-0.418600\pi$
$173$	6.65404			0.505898			0.252949	+	0.967480i	$0.418600\pi$
$174$	−1.96935	+	8.62828i	−0.149296	+	0.654108i
$175$	−0.407771	−	1.78656i	−0.0308246	−	0.135051i
$176$	7.91112	+	3.80979i	0.596323	+	0.287174i
$177$	−2.68329	+	3.36474i	−0.201688	+	0.252909i
$178$	4.24568			0.318227
$179$	−17.5122			−1.30892			−0.654461	−	0.756095i	$-0.727105\pi$
$179$	−17.5122			−1.30892			−0.654461	+	0.756095i	$0.727105\pi$
$180$	−1.33368	+	1.67238i	−0.0994064	+	0.124652i
$181$	12.0244	−	5.79067i	0.893770	−	0.430417i	0.0701354	−	0.997537i	$-0.477657\pi$
$181$	12.0244	−	5.79067i	0.893770	−	0.430417i	0.823635	+	0.567120i	$0.191943\pi$
$182$	8.38965	+	10.5203i	0.621882	+	0.779815i
$183$	4.67681	−	2.25223i	0.345719	−	0.166490i
$184$	2.99079	−	13.1035i	0.220484	−	0.966004i
$185$	3.50401	−	4.39389i	0.257620	−	0.323045i
$186$	1.68836	−	7.39720i	0.123797	−	0.542389i
$187$	−1.58866	−	0.765056i	−0.116174	−	0.0559464i
$188$	−5.88983	−	7.38561i	−0.429560	−	0.538651i
$189$	6.98662	+	8.76094i	0.508202	+	0.637265i
$190$	6.88121	+	30.1485i	0.499215	+	2.18720i
$191$	−9.42621	−	4.53942i	−0.682057	−	0.328461i	0.0605726	−	0.998164i	$-0.480707\pi$
$191$	−9.42621	−	4.53942i	−0.682057	−	0.328461i	−0.742629	+	0.669703i	$0.766422\pi$
$192$	2.85851	−	1.37659i	0.206296	−	0.0993467i
$193$	1.94304	+	8.51302i	0.139863	+	0.612781i	0.995464	+	0.0951438i	$0.0303311\pi$
$193$	1.94304	+	8.51302i	0.139863	+	0.612781i	−0.855600	+	0.517637i	$0.826812\pi$
$194$	3.22291	+	14.1205i	0.231391	+	1.01379i
$195$	12.3853	−	5.96445i	0.886930	−	0.427123i
$196$	2.37677	+	1.14459i	0.169769	+	0.0817565i
$197$	0.770459	+	3.37560i	0.0548930	+	0.240502i	0.994930	−	0.100571i	$-0.0320669\pi$
$197$	0.770459	+	3.37560i	0.0548930	+	0.240502i	−0.940037	+	0.341073i	$0.889210\pi$
$198$	−1.90408	−	2.38765i	−0.135317	−	0.169683i
$199$	−15.6386	−	19.6102i	−1.10859	−	1.39013i	−0.912271	−	0.409588i	$-0.865673\pi$
$199$	−15.6386	−	19.6102i	−1.10859	−	1.39013i	−0.196319	−	0.980540i	$-0.562899\pi$
$200$	1.60934	+	0.775018i	0.113798	+	0.0548021i
$201$	1.38766	−	6.07975i	0.0978781	−	0.428832i
$202$	19.8022	−	24.8311i	1.39328	−	1.74711i
$203$	1.64197	−	7.19393i	0.115244	−	0.504915i
$204$	1.08616	−	0.523067i	0.0760464	−	0.0366220i
$205$	8.72668	+	10.9429i	0.609498	+	0.764286i
$206$	−14.8414	+	7.14722i	−1.03405	+	0.497971i
$207$	−4.44622	+	5.57538i	−0.309034	+	0.387516i
$208$	−20.0090			−1.38737
$209$	−13.2513			−0.916610
$210$	−7.14344	+	8.95759i	−0.492944	+	0.618132i
$211$	22.3073	+	10.7426i	1.53570	+	0.739554i	0.994830	−	0.101553i	$-0.0323810\pi$
$211$	22.3073	+	10.7426i	1.53570	+	0.739554i	0.540869	+	0.841107i	$0.318095\pi$
$212$	2.03828	+	8.93030i	0.139990	+	0.613336i
$213$	4.03354	−	17.6721i	0.276374	−	1.21087i
$214$	2.37713			0.162497
$215$	−15.7350	−	2.68091i	−1.07312	−	0.182837i
$216$	−10.9227			−0.743197
$217$	−1.40769	+	6.16750i	−0.0955604	+	0.418677i
$218$	1.29436	+	5.67097i	0.0876653	+	0.384087i
$219$	0.194920	+	0.0938686i	0.0131715	+	0.00634305i
$220$	2.29532	−	2.87824i	0.154751	−	0.194051i
$221$	4.01806			0.270284
$222$	−5.48575			−0.368179
$223$	7.91727	−	9.92794i	0.530179	−	0.664824i	−0.442556	−	0.896741i	$-0.645928\pi$
$223$	7.91727	−	9.92794i	0.530179	−	0.664824i	0.972736	+	0.231917i	$0.0744997\pi$
$224$	8.13206	−	3.91619i	0.543346	−	0.261662i
$225$	−0.590900	−	0.740966i	−0.0393934	−	0.0493977i
$226$	−20.5300	+	9.88672i	−1.36563	+	0.657655i
$227$	−6.24439	+	27.3584i	−0.414455	+	1.81584i	0.147966	+	0.988992i	$0.452727\pi$
$227$	−6.24439	+	27.3584i	−0.414455	+	1.81584i	−0.562420	+	0.826851i	$0.690130\pi$
$228$	5.64873	−	7.08329i	0.374097	−	0.469102i
$229$	1.40750	−	6.16665i	0.0930100	−	0.407504i	−0.906894	−	0.421359i	$-0.861553\pi$
$229$	1.40750	−	6.16665i	0.0930100	−	0.407504i	0.999904	+	0.0138553i	$0.00441042\pi$
$230$	−25.8048	−	12.4269i	−1.70152	−	0.819408i
$231$	−3.06106	−	3.83844i	−0.201403	−	0.252551i
$232$	4.48452	+	5.62341i	0.294423	+	0.369195i
$233$	−2.66768	−	11.6879i	−0.174766	−	0.765699i	−0.983994	−	0.178204i	$-0.942971\pi$
$233$	−2.66768	−	11.6879i	−0.174766	−	0.765699i	0.809228	−	0.587495i	$-0.199886\pi$
$234$	6.26994	+	3.01944i	0.409879	+	0.197387i
$235$	24.1534	−	11.6317i	1.57560	−	0.758768i
$236$	−0.584418	−	2.56050i	−0.0380423	−	0.166674i
$237$	−2.93105	−	12.8418i	−0.190392	−	0.834161i
$238$	−3.01722	+	1.45302i	−0.195578	+	0.0941852i
$239$	5.26416	+	2.53508i	0.340510	+	0.163981i	0.596321	−	0.802746i	$-0.296628\pi$
$239$	5.26416	+	2.53508i	0.340510	+	0.163981i	−0.255812	+	0.966727i	$0.582343\pi$
$240$	−3.79105	−	16.6097i	−0.244711	−	1.07215i
$241$	−10.9410	−	13.7196i	−0.704774	−	0.883759i	0.292596	−	0.956236i	$-0.405481\pi$
$241$	−10.9410	−	13.7196i	−0.704774	−	0.883759i	−0.997370	+	0.0724774i	$0.976909\pi$
$242$	−8.31695	−	10.4291i	−0.534634	−	0.670410i
$243$	9.11357	+	4.38886i	0.584636	+	0.281546i
$244$	−0.704896	+	3.08835i	−0.0451263	+	0.197711i
$245$	−4.66770	+	5.85311i	−0.298208	+	0.373941i
$246$	3.04012	−	13.3196i	0.193831	−	0.849228i
$247$	27.2060	−	13.1017i	1.73107	−	0.833642i
$248$	−3.84467	−	4.82106i	−0.244137	−	0.306138i
$249$	13.1049	−	6.31098i	0.830488	−	0.399942i
$250$	−10.4546	+	13.1097i	−0.661209	+	0.829130i
$251$	−8.75421			−0.552561			−0.276281	−	0.961077i	$-0.589102\pi$
$251$	−8.75421			−0.552561			−0.276281	+	0.961077i	$0.589102\pi$
$252$	−1.74086			−0.109664
$253$	7.65216	−	9.59551i	0.481087	−	0.603264i
$254$	17.1539	+	8.26087i	1.07633	+	0.518333i
$255$	0.761292	+	3.33544i	0.0476739	+	0.208873i
$256$	−3.85863	+	16.9058i	−0.241165	+	1.05661i
$257$	5.85086			0.364966			0.182483	−	0.983209i	$-0.441586\pi$
$257$	5.85086			0.364966			0.182483	+	0.983209i	$0.441586\pi$
$258$	7.53029	+	13.6398i	0.468815	+	0.849178i
$259$	4.57381			0.284203
$260$	−1.86673	+	8.17869i	−0.115770	+	0.507221i
$261$	−0.849188	−	3.72054i	−0.0525634	−	0.230295i
$262$	−20.3869	−	9.81784i	−1.25951	−	0.606548i
$263$	−3.46089	+	4.33981i	−0.213407	+	0.267604i	−0.877001	−	0.480489i	$-0.840459\pi$
$263$	−3.46089	+	4.33981i	−0.213407	+	0.267604i	0.663593	+	0.748094i	$0.269031\pi$
$264$	4.78558			0.294532
$265$	−25.9950			−1.59686
$266$	−15.6915	+	19.6765i	−0.962109	+	1.20645i
$267$	3.18040	−	1.53160i	0.194637	−	0.0937324i
$268$	2.37278	+	2.97537i	0.144940	+	0.181749i
$269$	−1.36522	+	0.657456i	−0.0832391	+	0.0400858i	−0.475040	−	0.879964i	$-0.657566\pi$
$269$	−1.36522	+	0.657456i	−0.0832391	+	0.0400858i	0.391801	+	0.920050i	$0.371852\pi$
$270$	−5.17937	+	22.6923i	−0.315207	+	1.38101i
$271$	1.29742	−	1.62692i	0.0788130	−	0.0988283i	−0.740862	−	0.671657i	$-0.765583\pi$
$271$	1.29742	−	1.62692i	0.0788130	−	0.0988283i	0.819675	+	0.572829i	$0.194154\pi$
$272$	1.10810	−	4.85491i	0.0671885	−	0.294372i
$273$	10.0797	+	4.85414i	0.610052	+	0.293786i
$274$	23.1892	+	29.0784i	1.40091	+	1.75669i
$275$	1.01697	+	1.27524i	0.0613255	+	0.0768998i
$276$	1.86719	+	8.18072i	0.112392	+	0.492421i
$277$	−26.7840	−	12.8985i	−1.60929	−	0.774994i	−0.609451	−	0.792824i	$-0.708610\pi$
$277$	−26.7840	−	12.8985i	−1.60929	−	0.774994i	−0.999841	+	0.0178294i	$0.994324\pi$
$278$	−19.6803	+	9.47753i	−1.18035	+	0.568424i
$279$	0.728026	+	3.18969i	0.0435858	+	0.190962i
$280$	2.07197	+	9.07790i	0.123824	+	0.542509i
$281$	−19.5028	+	9.39208i	−1.16344	+	0.560284i	−0.913045	−	0.407859i	$-0.866276\pi$
$281$	−19.5028	+	9.39208i	−1.16344	+	0.560284i	−0.250397	+	0.968143i	$0.580561\pi$
$282$	−23.5765	−	11.3538i	−1.40396	−	0.676111i
$283$	−5.21158	−	22.8334i	−0.309796	−	1.35731i	−0.854837	−	0.518897i	$-0.826343\pi$
$283$	−5.21158	−	22.8334i	−0.309796	−	1.35731i	0.545040	−	0.838410i	$-0.316514\pi$
$284$	6.89699	+	8.64855i	0.409261	+	0.513197i
$285$	16.0305	+	20.1016i	0.949566	+	1.19072i
$286$	−10.7909	−	5.19661i	−0.638078	−	0.307282i
$287$	−2.53474	+	11.1054i	−0.149621	+	0.655531i
$288$	2.91044	−	3.64958i	0.171500	−	0.215054i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	13.8093	−	6.65021i	0.810911	−	0.390514i
$291$	7.50811	+	9.41488i	0.440133	+	0.551910i
$292$	−0.118952	+	0.0572842i	−0.00696113	+	0.00335230i
$293$	6.36015	−	7.97537i	0.371564	−	0.465926i	−0.560535	−	0.828131i	$-0.689404\pi$
$293$	6.36015	−	7.97537i	0.371564	−	0.465926i	0.932099	+	0.362205i	$0.117976\pi$
$294$	7.30757			0.426186
$295$	7.45330			0.433948
$296$	−2.77972	+	3.48565i	−0.161568	+	0.202600i
$297$	−8.98628	−	4.32757i	−0.521437	−	0.251111i
$298$	−2.83863	−	12.4369i	−0.164437	−	0.720448i
$299$	−6.22332	+	27.2662i	−0.359904	+	1.57684i
$300$	−1.11517			−0.0643845
$301$	−6.27847	−	11.3724i	−0.361885	−	0.655492i
$302$	−7.88195			−0.453555
$303$	5.87596	−	25.7442i	0.337565	−	1.47897i
$304$	−8.32755	−	36.4854i	−0.477618	−	2.09258i
$305$	−8.09953	−	3.90053i	−0.463778	−	0.223344i
$306$	−1.07986	+	1.35410i	−0.0617313	+	0.0774086i
$307$	−10.6040			−0.605203			−0.302601	−	0.953117i	$-0.597855\pi$
$307$	−10.6040			−0.605203			−0.302601	+	0.953117i	$0.597855\pi$
$308$	2.99610			0.170719
$309$	−8.53921	+	10.7078i	−0.485779	+	0.609147i
$310$	−11.8390	+	5.70136i	−0.672410	+	0.323816i
$311$	−0.818796	−	1.02674i	−0.0464296	−	0.0582209i	0.758075	−	0.652168i	$-0.226140\pi$
$311$	−0.818796	−	1.02674i	−0.0464296	−	0.0582209i	−0.804504	+	0.593947i	$0.797569\pi$
$312$	−9.82520	+	4.73157i	−0.556242	+	0.267872i
$313$	−2.96115	+	12.9736i	−0.167374	+	0.733313i	0.819667	+	0.572841i	$0.194159\pi$
$313$	−2.96115	+	12.9736i	−0.167374	+	0.733313i	−0.987040	+	0.160472i	$0.948698\pi$
$314$	21.0299	−	26.3706i	1.18678	−	1.48818i
$315$	1.09934	−	4.81650i	0.0619405	−	0.271379i
$316$	7.24229	+	3.48770i	0.407411	+	0.196199i
$317$	−0.622105	−	0.780095i	−0.0349409	−	0.0438145i	0.764054	−	0.645152i	$-0.223206\pi$
$317$	−0.622105	−	0.780095i	−0.0349409	−	0.0438145i	−0.798995	+	0.601338i	$0.794635\pi$
$318$	15.8205	+	19.8382i	0.887167	+	1.11247i
$319$	1.46149	+	6.40323i	0.0818280	+	0.358512i
$320$	−4.95052	−	2.38405i	−0.276743	−	0.133272i
$321$	1.78068	−	0.857532i	0.0993880	−	0.0478627i
$322$	−5.18685	−	22.7251i	−0.289052	−	1.26642i
$323$	1.67228	+	7.32673i	0.0930481	+	0.407670i
$324$	3.76866	−	1.81489i	0.209370	−	0.100827i
$325$	−3.34877	−	1.61268i	−0.185756	−	0.0894554i
$326$	3.94626	+	17.2897i	0.218563	+	0.957587i
$327$	3.01536	+	3.78114i	0.166750	+	0.209097i
$328$	−6.92283	−	8.68096i	−0.382250	−	0.479326i
$329$	19.6572	+	9.46640i	1.08374	+	0.521899i
$330$	2.26924	−	9.94221i	0.124918	−	0.547301i
$331$	15.6409	−	19.6131i	0.859703	−	1.07803i	−0.136471	−	0.990644i	$-0.543576\pi$
$331$	15.6409	−	19.6131i	0.859703	−	1.07803i	0.996174	−	0.0873894i	$-0.0278524\pi$
$332$	−1.97519	+	8.65387i	−0.108403	+	0.474943i
$333$	2.13121	−	1.02634i	0.116790	−	0.0562430i
$334$	6.46015	+	8.10077i	0.353483	+	0.443254i
$335$	−9.73046	+	4.68594i	−0.531632	+	0.256020i
$336$	8.64490	−	10.8404i	0.471618	−	0.591390i
$337$	−8.68273			−0.472978			−0.236489	−	0.971634i	$-0.575997\pi$
$337$	−8.68273			−0.472978			−0.236489	+	0.971634i	$0.575997\pi$
$338$	5.31626			0.289166
$339$	−11.8123	+	14.8121i	−0.641553	+	0.804483i
$340$	−1.88107	−	0.905874i	−0.102015	−	0.0491279i
$341$	−1.25297	−	5.48962i	−0.0678521	−	0.297279i
$342$	−2.89631	+	12.6896i	−0.156615	+	0.686174i
$343$	−19.9599			−1.07773
$344$	12.4825	+	2.12675i	0.673010	+	0.114667i
$345$	−23.8131			−1.28205
$346$	−2.50303	+	10.9665i	−0.134564	+	0.589563i
$347$	0.153396	+	0.672070i	0.00823470	+	0.0360786i	0.978878	−	0.204444i	$-0.0655385\pi$
$347$	0.153396	+	0.672070i	0.00823470	+	0.0360786i	−0.970644	+	0.240522i	$0.922681\pi$
$348$	−4.04576	−	1.94834i	−0.216875	−	0.104442i
$349$	13.7106	−	17.1926i	0.733913	−	0.920297i	−0.265122	−	0.964215i	$-0.585412\pi$
$349$	13.7106	−	17.1926i	0.733913	−	0.920297i	0.999035	+	0.0439173i	$0.0139838\pi$
$350$	3.09782			0.165585
$351$	22.7283			1.21315
$352$	−5.00902	+	6.28111i	−0.266982	+	0.334784i
$353$	19.8836	−	9.57542i	1.05830	−	0.509648i	0.177979	−	0.984034i	$-0.443044\pi$
$353$	19.8836	−	9.57542i	1.05830	−	0.509648i	0.880317	+	0.474386i	$0.157330\pi$
$354$	−4.53605	−	5.68803i	−0.241088	−	0.302315i
$355$	−28.2837	+	13.6207i	−1.50114	+	0.722912i
$356$	−0.479355	+	2.10019i	−0.0254058	+	0.111310i
$357$	−1.73601	+	2.17688i	−0.0918792	+	0.115213i
$358$	6.58752	−	28.8618i	0.348161	−	1.52539i
$359$	−12.7985	−	6.16344i	−0.675480	−	0.325294i	0.0645051	−	0.997917i	$-0.479453\pi$
$359$	−12.7985	−	6.16344i	−0.675480	−	0.325294i	−0.739985	+	0.672623i	$0.765167\pi$
$360$	3.00249	+	3.76500i	0.158245	+	0.198433i
$361$	23.3669	+	29.3011i	1.22984	+	1.54216i
$362$	5.02038	+	21.9957i	0.263865	+	1.15607i
$363$	−9.99238	−	4.81208i	−0.524464	−	0.252569i
$364$	−6.15124	+	2.96228i	−0.322413	+	0.155266i
$365$	−0.0833736	−	0.365283i	−0.00436397	−	0.0191198i
$366$	1.95263	+	8.55505i	0.102066	+	0.447180i
$367$	−9.83716	+	4.73733i	−0.513496	+	0.247286i	−0.672641	−	0.739969i	$-0.734840\pi$
$367$	−9.83716	+	4.73733i	−0.513496	+	0.247286i	0.159146	+	0.987255i	$0.449126\pi$
$368$	31.2286	+	15.0389i	1.62790	+	0.783958i
$369$	1.31091	+	5.74346i	0.0682431	+	0.298992i
$370$	5.92347	+	7.42779i	0.307946	+	0.386153i
$371$	−13.1905	−	16.5404i	−0.684817	−	0.858733i
$372$	3.46851	+	1.67035i	0.179834	+	0.0866035i
$373$	0.760431	−	3.33166i	0.0393736	−	0.172507i	−0.951418	−	0.307902i	$-0.900373\pi$
$373$	0.760431	−	3.33166i	0.0393736	−	0.172507i	0.990792	+	0.135395i	$0.0432303\pi$
$374$	1.85849	−	2.33047i	0.0961001	−	0.120506i
$375$	−3.10224	+	13.5918i	−0.160199	+	0.701877i
$376$	−19.1608	+	9.22736i	−0.988143	+	0.475865i
$377$	−9.33152	−	11.7014i	−0.480598	−	0.602650i
$378$	−17.0670	+	8.21905i	−0.877833	+	0.422742i
$379$	−3.92306	+	4.91936i	−0.201514	+	0.252691i	−0.872312	−	0.488949i	$-0.837380\pi$
$379$	−3.92306	+	4.91936i	−0.201514	+	0.252691i	0.670798	+	0.741640i	$0.265952\pi$
$380$	−15.6903			−0.804898
$381$	15.8299			0.810988
$382$	11.0272	−	13.8277i	0.564203	−	0.707488i
$383$	−20.4772	−	9.86131i	−1.04634	−	0.503889i	−0.169928	−	0.985457i	$-0.554353\pi$
$383$	−20.4772	−	9.86131i	−1.04634	−	0.503889i	−0.876409	+	0.481567i	$0.840068\pi$
$384$	4.04343	+	17.7154i	0.206341	+	0.904037i
$385$	−1.89201	+	8.28944i	−0.0964258	+	0.422469i
$386$	−14.7612			−0.751325
$387$	−5.47741	−	3.89021i	−0.278433	−	0.197751i
$388$	−7.34879			−0.373078
$389$	−0.253824	+	1.11208i	−0.0128694	+	0.0563845i	−0.980955	−	0.194236i	$-0.937777\pi$
$389$	−0.253824	+	1.11208i	−0.0128694	+	0.0563845i	0.968086	+	0.250620i	$0.0806345\pi$
$390$	5.17104	+	22.6558i	0.261846	+	1.14722i
$391$	−6.27111	−	3.02001i	−0.317144	−	0.152728i
$392$	3.70286	−	4.64324i	0.187023	−	0.234519i
$393$	−18.8134			−0.949009
$394$	−5.85314			−0.294877
$395$	−14.2230	+	17.8351i	−0.715638	+	0.897382i
$396$	1.39606	−	0.672309i	0.0701549	−	0.0337848i
$397$	7.37280	+	9.24520i	0.370030	+	0.464003i	0.931631	−	0.363405i	$-0.118386\pi$
$397$	7.37280	+	9.24520i	0.370030	+	0.464003i	−0.561601	+	0.827408i	$0.689814\pi$
$398$	38.2022	−	18.3972i	1.91490	−	0.922169i
$399$	−4.65619	+	20.4001i	−0.233101	+	1.02128i
$400$	−2.87208	+	3.60147i	−0.143604	+	0.180073i
$401$	−7.23314	+	31.6905i	−0.361206	+	1.58255i	0.388933	+	0.921266i	$0.372844\pi$
$401$	−7.23314	+	31.6905i	−0.361206	+	1.58255i	−0.750139	+	0.661280i	$0.770014\pi$
$402$	9.49802	+	4.57401i	0.473718	+	0.228131i
$403$	8.00010	+	10.0318i	0.398513	+	0.499720i
$404$	10.0473	+	12.5990i	0.499874	+	0.626822i
$405$	2.64146	+	11.5730i	0.131255	+	0.575067i
$406$	11.2386	+	5.41225i	0.557765	+	0.268605i
$407$	−3.66793	+	1.76638i	−0.181812	+	0.0875562i
$408$	−0.603929	−	2.64599i	−0.0298989	−	0.130996i
$409$	0.546281	+	2.39341i	0.0270118	+	0.118347i	0.986636	−	0.162937i	$-0.0520969\pi$
$409$	0.546281	+	2.39341i	0.0270118	+	0.118347i	−0.959625	+	0.281284i	$0.909240\pi$
$410$	−21.3177	+	10.2661i	−1.05281	+	0.507004i
$411$	27.8607	+	13.4170i	1.37426	+	0.661811i
$412$	−1.85983	−	8.14845i	−0.0916273	−	0.401446i
$413$	3.78199	+	4.74246i	0.186099	+	0.233361i
$414$	−7.51625	−	9.42508i	−0.369404	−	0.463217i
$415$	−22.6957	−	10.9297i	−1.11409	−	0.536517i
$416$	4.07372	−	17.8481i	0.199730	−	0.875076i
$417$	−11.3234	+	14.1990i	−0.554507	+	0.695330i
$418$	4.98470	−	21.8394i	0.243810	−	1.06820i
$419$	17.3143	−	8.33811i	0.845857	−	0.407343i	0.0398188	−	0.999207i	$-0.487322\pi$
$419$	17.3143	−	8.33811i	0.845857	−	0.407343i	0.806038	+	0.591864i	$0.201608\pi$
$420$	−3.62448	−	4.54496i	−0.176857	−	0.221771i
$421$	−25.6770	+	12.3654i	−1.25142	+	0.602652i	−0.937892	−	0.346927i	$-0.887225\pi$
$421$	−25.6770	+	12.3654i	−1.25142	+	0.602652i	−0.313528	+	0.949579i	$0.601511\pi$
$422$	−26.0962	+	32.7236i	−1.27034	+	1.59296i
$423$	11.2837			0.548631
$424$	20.6217			1.00148
$425$	0.576750	−	0.723222i	0.0279765	−	0.0350814i
$426$	27.6081	+	13.2953i	1.33761	+	0.644161i
$427$	−1.62803	−	7.13288i	−0.0787860	−	0.345184i
$428$	−0.268387	+	1.17588i	−0.0129730	+	0.0568384i
$429$	−9.95798			−0.480776
$430$	10.3374	−	24.9243i	0.498513	−	1.20196i
$431$	−24.0447			−1.15819			−0.579095	−	0.815260i	$-0.696594\pi$
$431$	−24.0447			−1.15819			−0.579095	+	0.815260i	$0.696594\pi$
$432$	6.26801	−	27.4619i	0.301570	−	1.32126i
$433$	6.82689	+	29.9106i	0.328080	+	1.43741i	0.822786	+	0.568351i	$0.192418\pi$
$433$	6.82689	+	29.9106i	0.328080	+	1.43741i	−0.494707	+	0.869060i	$0.664725\pi$
$434$	−9.63512	−	4.64003i	−0.462501	−	0.222729i
$435$	7.94540	−	9.96322i	0.380953	−	0.477700i
$436$	−2.95137			−0.141345
$437$	−52.3086			−2.50226
$438$	−0.228027	+	0.285937i	−0.0108956	+	0.0136626i
$439$	29.7991	−	14.3505i	1.42223	−	0.684912i	0.444698	−	0.895681i	$-0.353311\pi$
$439$	29.7991	−	14.3505i	1.42223	−	0.684912i	0.977536	+	0.210769i	$0.0675968\pi$
$440$	−5.16743	−	6.47976i	−0.246348	−	0.308910i
$441$	−2.83899	+	1.36719i	−0.135190	+	0.0651041i
$442$	−1.51146	+	6.62216i	−0.0718930	+	0.314984i
$443$	11.7401	−	14.7216i	0.557789	−	0.699446i	−0.420358	−	0.907358i	$-0.638096\pi$
$443$	11.7401	−	14.7216i	0.557789	−	0.699446i	0.978147	+	0.207913i	$0.0666670\pi$
$444$	0.619363	−	2.71361i	0.0293937	−	0.128782i
$445$	−5.50798	−	2.65250i	−0.261103	−	0.125741i
$446$	13.3840	+	16.7830i	0.633750	+	0.794698i
$447$	−6.61290	−	8.29231i	−0.312779	−	0.392213i
$448$	−0.995071	−	4.35969i	−0.0470127	−	0.205976i
$449$	−34.3307	−	16.5328i	−1.62017	−	0.780231i	−0.620174	−	0.784464i	$-0.712938\pi$
$449$	−34.3307	−	16.5328i	−1.62017	−	0.780231i	−0.999991	+	0.00423330i	$0.998652\pi$
$450$	1.44346	−	0.695134i	0.0680454	−	0.0327689i
$451$	−2.25614	−	9.88477i	−0.106237	−	0.465456i
$452$	−2.57270	−	11.2717i	−0.121009	−	0.530177i
$453$	−5.90429	+	2.84336i	−0.277408	+	0.133592i
$454$	−42.7405	−	20.5827i	−2.00591	−	0.965995i
$455$	−4.31142	−	18.8896i	−0.202122	−	0.885556i
$456$	−12.7169	−	15.9465i	−0.595525	−	0.746764i
$457$	−18.3942	−	23.0656i	−0.860446	−	1.07896i	−0.996102	−	0.0882087i	$-0.971886\pi$
$457$	−18.3942	−	23.0656i	−0.860446	−	1.07896i	0.135656	−	0.990756i	$-0.456686\pi$
$458$	9.63378	+	4.63939i	0.450157	+	0.216784i
$459$	−1.25870	+	5.51471i	−0.0587510	+	0.257405i
$460$	9.06064	−	11.3617i	0.422455	−	0.529741i
$461$	−5.35623	+	23.4672i	−0.249464	+	1.09297i	0.682631	+	0.730763i	$0.260835\pi$
$461$	−5.35623	+	23.4672i	−0.249464	+	1.09297i	−0.932096	+	0.362212i	$0.882022\pi$
$462$	7.47760	−	3.60102i	0.347889	−	0.167535i
$463$	−11.0895	−	13.9058i	−0.515374	−	0.646258i	0.454246	−	0.890876i	$-0.349909\pi$
$463$	−11.0895	−	13.9058i	−0.515374	−	0.646258i	−0.969619	+	0.244618i	$0.921337\pi$
$464$	−16.7118	+	8.04800i	−0.775828	+	0.373619i
$465$	−6.81176	+	8.54167i	−0.315888	+	0.396111i
$466$	20.2663			0.938816
$467$	22.7225			1.05147			0.525736	−	0.850648i	$-0.323790\pi$
$467$	22.7225			1.05147			0.525736	+	0.850648i	$0.323790\pi$
$468$	−2.20152	+	2.76061i	−0.101765	+	0.127609i
$469$	−7.91909	−	3.81363i	−0.365670	−	0.176097i
$470$	10.0844	+	44.1827i	0.465159	+	2.03800i
$471$	6.24025	−	27.3403i	0.287536	−	1.25978i
$472$	−5.91267			−0.272153
$473$	9.42690	+	6.69525i	0.433449	+	0.307848i
$474$	22.2670			1.02276
$475$	1.54692	−	6.77749i	0.0709774	−	0.310972i
$476$	−0.378101	−	1.65657i	−0.0173302	−	0.0759286i
$477$	−9.85782	−	4.74728i	−0.451359	−	0.217363i
$478$	−6.15827	+	7.72222i	−0.281673	+	0.353206i
$479$	−1.41498			−0.0646519			−0.0323260	−	0.999477i	$-0.510291\pi$
$479$	−1.41498			−0.0646519			−0.0323260	+	0.999477i	$0.510291\pi$
$480$	15.5878			0.711481
$481$	5.78411	−	7.25305i	0.263733	−	0.330711i
$482$	26.7269	−	12.8710i	1.21738	−	0.586259i
$483$	−12.0833	−	15.1520i	−0.549810	−	0.689440i
$484$	6.09794	−	2.93662i	0.277179	−	0.133483i
$485$	4.64070	−	20.3322i	0.210723	−	0.923238i
$486$	−10.6615	+	13.3691i	−0.483616	+	0.606435i
$487$	−0.240045	+	1.05171i	−0.0108775	+	0.0476574i	−0.980075	−	0.198626i	$-0.936352\pi$
$487$	−0.240045	+	1.05171i	−0.0108775	+	0.0476574i	0.969198	+	0.246283i	$0.0792093\pi$
$488$	6.42532	+	3.09427i	0.290861	+	0.140071i
$489$	9.19323	+	11.5279i	0.415732	+	0.521312i
$490$	−7.89066	−	9.89457i	−0.356464	−	0.446991i
$491$	7.95879	+	34.8697i	0.359175	+	1.57365i	0.755254	+	0.655432i	$0.227514\pi$
$491$	7.95879	+	34.8697i	0.359175	+	1.57365i	−0.396079	+	0.918217i	$0.629629\pi$
$492$	6.24551	+	3.00768i	0.281569	+	0.135597i
$493$	3.35596	−	1.61614i	0.151145	−	0.0727874i
$494$	11.3589	+	49.7665i	0.511060	+	2.23910i
$495$	0.978504	+	4.28711i	0.0439805	+	0.192691i
$496$	14.3274	−	6.89972i	0.643320	−	0.309806i
$497$	−23.0186	−	11.0852i	−1.03252	−	0.497237i
$498$	5.47148	+	23.9721i	0.245183	+	1.07422i
$499$	2.72933	+	3.42247i	0.122182	+	0.153211i	0.839160	−	0.543884i	$-0.183047\pi$
$499$	2.72933	+	3.42247i	0.122182	+	0.153211i	−0.716979	+	0.697095i	$0.754476\pi$
$500$	−5.30454	−	6.65168i	−0.237226	−	0.297472i
$501$	7.76153	+	3.73775i	0.346759	+	0.166991i
$502$	3.29305	−	14.4278i	0.146976	−	0.643944i
$503$	−21.4459	+	26.8923i	−0.956226	+	1.19907i	0.0237024	+	0.999719i	$0.492455\pi$
$503$	−21.4459	+	26.8923i	−0.956226	+	1.19907i	−0.979928	+	0.199350i	$0.936117\pi$
$504$	−0.872097	+	3.82091i	−0.0388463	+	0.170197i
$505$	−41.2029	+	19.8423i	−1.83351	+	0.882970i
$506$	12.9358	+	16.2210i	0.575068	+	0.721113i
$507$	3.98236	−	1.91780i	0.176863	−	0.0851726i
$508$	−6.02311	+	7.55274i	−0.267232	+	0.335099i
$509$	29.0614			1.28812			0.644061	−	0.764974i	$-0.277248\pi$
$509$	29.0614			1.28812			0.644061	+	0.764974i	$0.277248\pi$
$510$	−5.78350			−0.256098
$511$	0.190120	−	0.238403i	0.00841043	−	0.0105463i
$512$	−3.11471	−	1.49997i	−0.137652	−	0.0662898i
$513$	9.45930	+	41.4439i	0.417638	+	1.82979i
$514$	−2.20090	+	9.64278i	−0.0970776	+	0.425325i
$515$	23.7191			1.04519
$516$	−7.59734	+	2.18498i	−0.334454	+	0.0961883i
$517$	−19.4198			−0.854080
$518$	−1.72052	+	7.53809i	−0.0755953	+	0.331204i
$519$	2.08109	+	9.11786i	0.0913498	+	0.400230i
$520$	17.0158	+	8.19437i	0.746192	+	0.359347i
$521$	22.7646	−	28.5459i	0.997336	−	1.25062i	0.0293617	−	0.999569i	$-0.490653\pi$
$521$	22.7646	−	28.5459i	0.997336	−	1.25062i	0.967974	−	0.251051i	$-0.0807760\pi$
$522$	6.45124			0.282363
$523$	39.3644			1.72128			0.860641	−	0.509211i	$-0.170063\pi$
$523$	39.3644			1.72128			0.860641	+	0.509211i	$0.170063\pi$
$524$	7.15831	−	8.97624i	0.312712	−	0.392129i
$525$	2.32055	−	1.11752i	0.101277	−	0.0487724i
$526$	−5.85056	−	7.33637i	−0.255097	−	0.319881i
$527$	−2.87713	+	1.38555i	−0.125330	+	0.0603556i
$528$	−2.74621	+	12.0319i	−0.119513	+	0.523623i
$529$	15.8661	−	19.8955i	0.689832	−	0.865022i
$530$	9.77848	−	42.8423i	0.424750	−	1.86095i
$531$	2.82644	+	1.36114i	0.122657	+	0.0590685i
$532$	−7.96166	−	9.98361i	−0.345182	−	0.432844i
$533$	14.4052	+	18.0636i	0.623960	+	0.782421i
$534$	1.32786	+	5.81775i	0.0574622	+	0.251759i
$535$	−3.08388	−	1.48512i	−0.133328	−	0.0642072i
$536$	7.71913	−	3.71734i	0.333416	−	0.160564i
$537$	−5.47704	−	23.9965i	−0.236352	−	1.03553i
$538$	−0.570000	−	2.49733i	−0.0245744	−	0.107668i
$539$	4.88605	−	2.35300i	0.210457	−	0.101351i
$540$	−10.6403	−	5.12411i	−0.457887	−	0.220507i
$541$	5.97757	+	26.1894i	0.256996	+	1.12597i	0.924445	+	0.381316i	$0.124529\pi$
$541$	5.97757	+	26.1894i	0.256996	+	1.12597i	−0.667449	+	0.744655i	$0.732614\pi$
$542$	2.19327	+	2.75028i	0.0942091	+	0.118135i
$543$	11.6955	+	14.6657i	0.501903	+	0.629366i
$544$	4.10500	+	1.97686i	0.176000	+	0.0847573i
$545$	1.86376	−	8.16568i	0.0798349	−	0.349780i
$546$	−11.7918	+	14.7864i	−0.504641	+	0.632799i
$547$	3.39950	−	14.8942i	0.145352	−	0.636829i	−0.848788	−	0.528733i	$-0.822667\pi$
$547$	3.39950	−	14.8942i	0.145352	−	0.636829i	0.994140	−	0.108096i	$-0.0344754\pi$
$548$	−17.0022	+	8.18784i	−0.726299	+	0.349767i
$549$	−2.35918	−	2.95832i	−0.100687	−	0.126258i
$550$	−2.48427	+	1.19636i	−0.105930	+	0.0510130i
$551$	17.4531	−	21.8855i	0.743529	−	0.932356i
$552$	18.8908			0.804045
$553$	−18.5654			−0.789481
$554$	31.3332	−	39.2906i	1.33122	−	1.66930i
$555$	7.11674	+	3.42724i	0.302089	+	0.145478i
$556$	−2.46622	−	10.8052i	−0.104591	−	0.458243i
$557$	8.53985	−	37.4155i	0.361845	−	1.58535i	−0.386662	−	0.922221i	$-0.626372\pi$
$557$	8.53985	−	37.4155i	0.361845	−	1.58535i	0.748508	−	0.663126i	$-0.230771\pi$
$558$	−5.53078			−0.234137
$559$	−25.9739	−	4.42541i	−1.09858	−	0.187175i
$560$	−24.0127			−1.01472
$561$	0.551475	−	2.41617i	0.0232833	−	0.102011i
$562$	−8.14272	−	35.6756i	−0.343480	−	1.50488i
$563$	17.4699	+	8.41306i	0.736268	+	0.354568i	0.764146	−	0.645043i	$-0.223161\pi$
$563$	17.4699	+	8.41306i	0.736268	+	0.354568i	−0.0278778	+	0.999611i	$0.508875\pi$
$564$	8.27822	−	10.3806i	0.348576	−	0.437101i
$565$	32.8106			1.38035
$566$	39.5922			1.66418
$567$	−6.02345	+	7.55316i	−0.252961	+	0.317203i
$568$	22.4373	−	10.8052i	0.941449	−	0.453378i
$569$	8.97642	+	11.2561i	0.376311	+	0.471879i	0.933537	−	0.358482i	$-0.116706\pi$
$569$	8.97642	+	11.2561i	0.376311	+	0.471879i	−0.557225	+	0.830361i	$0.688134\pi$
$570$	−39.1596	+	18.8583i	−1.64022	+	0.789886i
$571$	−10.1288	+	44.3773i	−0.423879	+	1.85713i	0.0851266	+	0.996370i	$0.472871\pi$
$571$	−10.1288	+	44.3773i	−0.423879	+	1.85713i	−0.509005	+	0.860763i	$0.669987\pi$
$572$	3.78892	−	4.75115i	0.158423	−	0.198656i
$573$	3.27215	−	14.3362i	0.136696	−	0.598904i
$574$	−17.3493	−	8.35498i	−0.724146	−	0.348730i
$575$	4.01442	+	5.03392i	0.167413	+	0.209929i
$576$	−1.44196	−	1.80815i	−0.0600815	−	0.0753398i
$577$	4.87541	+	21.3606i	0.202966	+	0.889252i	0.969119	+	0.246594i	$0.0793113\pi$
$577$	4.87541	+	21.3606i	0.202966	+	0.889252i	−0.766153	+	0.642658i	$0.777832\pi$
$578$	−1.52307	−	0.733472i	−0.0633514	−	0.0305084i
$579$	−11.0575	+	5.32500i	−0.459533	+	0.221299i
$580$	1.73050	+	7.58182i	0.0718552	+	0.314818i
$581$	−4.56191	−	19.9870i	−0.189260	−	0.829202i
$582$	−18.3409	+	8.83253i	−0.760256	+	0.366120i
$583$	16.9658	+	8.17030i	0.702651	+	0.338379i
$584$	0.0661398	+	0.289778i	0.00273689	+	0.0119911i
$585$	−6.24767	−	7.83433i	−0.258309	−	0.323910i
$586$	10.7517	+	13.4822i	0.444149	+	0.556945i
$587$	−22.5866	−	10.8771i	−0.932249	−	0.448947i	−0.0948202	−	0.995494i	$-0.530228\pi$
$587$	−22.5866	−	10.8771i	−0.932249	−	0.448947i	−0.837428	+	0.546547i	$0.815942\pi$
$588$	−0.825055	+	3.61480i	−0.0340247	+	0.149072i
$589$	−14.9629	+	18.7629i	−0.616537	+	0.773113i
$590$	−2.80369	+	12.2838i	−0.115426	+	0.505715i
$591$	−4.38453	+	2.11148i	−0.180356	+	0.0868547i
$592$	−7.16850	−	8.98902i	−0.294624	−	0.369446i
$593$	1.59318	−	0.767233i	0.0654239	−	0.0315065i	−0.400886	−	0.916128i	$-0.631298\pi$
$593$	1.59318	−	0.767233i	0.0654239	−	0.0315065i	0.466310	+	0.884622i	$0.345583\pi$
$594$	10.5126	−	13.1824i	0.431337	−	0.540880i
$595$	4.82206			0.197685
$596$	6.47257			0.265127
$597$	21.9802	−	27.5623i	0.899591	−	1.12805i
$598$	−42.5963	−	20.5133i	−1.74189	−	0.838851i
$599$	−10.3889	−	45.5168i	−0.424479	−	1.85977i	−0.505160	−	0.863025i	$-0.668567\pi$
$599$	−10.3889	−	45.5168i	−0.424479	−	1.85977i	0.0806811	−	0.996740i	$-0.474290\pi$
$600$	−0.558656	+	2.44763i	−0.0228070	+	0.0999241i
$601$	−11.5346			−0.470508			−0.235254	−	0.971934i	$-0.575592\pi$
$601$	−11.5346			−0.470508			−0.235254	+	0.971934i	$0.575592\pi$
$602$	21.1045	−	6.06961i	0.860156	−	0.247379i
$603$	−4.54574			−0.185117
$604$	0.889904	−	3.89892i	0.0362097	−	0.158645i
$605$	4.27406	+	18.7259i	0.173765	+	0.761316i
$606$	40.2187	+	19.3683i	1.63377	+	0.786783i
$607$	6.71068	−	8.41492i	0.272378	−	0.341551i	−0.626763	−	0.779210i	$-0.715621\pi$
$607$	6.71068	−	8.41492i	0.272378	−	0.341551i	0.899141	+	0.437659i	$0.144192\pi$
$608$	34.2406			1.38864
$609$	10.3712			0.420262
$610$	9.47524	−	11.8816i	0.383641	−	0.481071i
$611$	39.8704	−	19.2006i	1.61298	−	0.776772i
$612$	−0.547905	−	0.687051i	−0.0221477	−	0.0277724i
$613$	−9.71152	+	4.67682i	−0.392245	+	0.188895i	−0.619602	−	0.784916i	$-0.712706\pi$
$613$	−9.71152	+	4.67682i	−0.392245	+	0.188895i	0.227357	+	0.973811i	$0.426992\pi$
$614$	3.98888	−	17.4764i	0.160978	−	0.705292i
$615$	−12.2655	+	15.3804i	−0.494591	+	0.620198i
$616$	1.50092	−	6.57597i	0.0604739	−	0.264953i
$617$	−24.4175	−	11.7588i	−0.983011	−	0.473393i	−0.127871	−	0.991791i	$-0.540814\pi$
$617$	−24.4175	−	11.7588i	−0.983011	−	0.473393i	−0.855140	+	0.518398i	$0.826529\pi$
$618$	−14.4354	−	18.1014i	−0.580676	−	0.728145i
$619$	20.2193	+	25.3542i	0.812681	+	1.01907i	0.999328	+	0.0366432i	$0.0116665\pi$
$619$	20.2193	+	25.3542i	0.812681	+	1.01907i	−0.186647	+	0.982427i	$0.559762\pi$
$620$	−1.48359	−	6.50005i	−0.0595826	−	0.261048i
$621$	−35.4728	−	17.0828i	−1.42347	−	0.685508i
$622$	2.00017	−	0.963230i	0.0801994	−	0.0386220i
$623$	−1.10712	−	4.85062i	−0.0443559	−	0.194336i
$624$	−6.25793	−	27.4178i	−0.250518	−	1.09759i
$625$	25.9204	−	12.4826i	1.03682	−	0.499304i
$626$	−20.2679	−	9.76052i	−0.810069	−	0.390109i
$627$	−4.14442	−	18.1579i	−0.165512	−	0.725156i
$628$	10.6703	+	13.3801i	0.425790	+	0.533924i
$629$	1.43953	+	1.80511i	0.0573978	+	0.0719745i
$630$	7.52453	+	3.62362i	0.299785	+	0.144369i
$631$	7.48220	−	32.7817i	0.297862	−	1.30502i	−0.575442	−	0.817842i	$-0.695170\pi$
$631$	7.48220	−	32.7817i	0.297862	−	1.30502i	0.873304	−	0.487175i	$-0.161973\pi$
$632$	11.2831	−	14.1485i	0.448816	−	0.562797i
$633$	−7.74361	+	33.9270i	−0.307781	+	1.34848i
$634$	1.51969	−	0.731844i	0.0603546	−	0.0290652i
$635$	−17.0929	−	21.4339i	−0.678313	−	0.850577i
$636$	−11.5995	+	5.58601i	−0.459949	+	0.221500i
$637$	−7.70502	+	9.66179i	−0.305284	+	0.382814i
$638$	−11.1029			−0.439568
$639$	−13.2132			−0.522705
$640$	19.6209	−	24.6039i	0.775585	−	0.972553i
$641$	13.6036	+	6.55116i	0.537311	+	0.258755i	0.682801	−	0.730604i	$-0.260762\pi$
$641$	13.6036	+	6.55116i	0.537311	+	0.258755i	−0.145490	+	0.989360i	$0.546476\pi$
$642$	0.743461	+	3.25731i	0.0293421	+	0.128556i
$643$	−3.33943	+	14.6310i	−0.131694	+	0.576990i	0.865418	+	0.501050i	$0.167053\pi$
$643$	−3.33943	+	14.6310i	−0.131694	+	0.576990i	−0.997112	+	0.0759397i	$0.975804\pi$
$644$	11.8269			0.466046
$645$	−1.24762	−	22.3997i	−0.0491251	−	0.881987i
$646$	−12.7042			−0.499841
$647$	2.55133	−	11.1781i	0.100303	−	0.439457i	−0.899693	−	0.436524i	$-0.856209\pi$
$647$	2.55133	−	11.1781i	0.100303	−	0.439457i	0.999996	−	0.00293259i	$-0.000933475\pi$
$648$	−2.09546	−	9.18081i	−0.0823175	−	0.360656i
$649$	−4.86444	−	2.34259i	−0.190946	−	0.0919548i
$650$	3.91755	−	4.91245i	0.153659	−	0.192682i
$651$	−8.89143			−0.348483
$652$	−8.99815			−0.352395
$653$	−14.0886	+	17.6666i	−0.551330	+	0.691346i	−0.976929	−	0.213566i	$-0.931492\pi$
$653$	−14.0886	+	17.6666i	−0.551330	+	0.691346i	0.425598	+	0.904912i	$0.360064\pi$
$654$	−7.36596	+	3.54726i	−0.288032	+	0.138709i
$655$	20.3145	+	25.4736i	0.793754	+	0.995337i
$656$	25.7984	−	12.4238i	1.00726	−	0.485070i
$657$	0.0350921	−	0.153749i	0.00136907	−	0.00599830i
$658$	−22.9959	+	28.8360i	−0.896475	+	1.12414i
$659$	2.16226	−	9.47347i	0.0842296	−	0.369034i	−0.915193	−	0.403016i	$-0.867962\pi$
$659$	2.16226	−	9.47347i	0.0842296	−	0.369034i	0.999422	+	0.0339822i	$0.0108189\pi$
$660$	4.66186	+	2.24503i	0.181463	+	0.0873878i
$661$	−3.41500	−	4.28228i	−0.132828	−	0.166561i	0.710969	−	0.703223i	$-0.248256\pi$
$661$	−3.41500	−	4.28228i	−0.132828	−	0.166561i	−0.843797	+	0.536662i	$0.819685\pi$
$662$	26.4407	+	33.1556i	1.02765	+	1.28863i
$663$	1.25667	+	5.50584i	0.0488051	+	0.213829i
$664$	18.0044	+	8.67046i	0.698706	+	0.336479i
$665$	32.6498	−	15.7233i	1.26610	−	0.609724i
$666$	0.889813	+	3.89852i	0.0344795	+	0.151065i
$667$	5.76915	+	25.2763i	0.223383	+	0.978703i
$668$	−4.73654	+	2.28100i	−0.183262	+	0.0882545i
$669$	16.0802	+	7.74380i	0.621695	+	0.299393i
$670$	−4.06261	−	17.7994i	−0.156952	−	0.687653i
$671$	4.06026	+	5.09141i	0.156745	+	0.196552i
$672$	7.90961	+	9.91833i	0.305120	+	0.382608i
$673$	−6.45335	−	3.10777i	−0.248758	−	0.119796i	0.305350	−	0.952240i	$-0.401226\pi$
$673$	−6.45335	−	3.10777i	−0.248758	−	0.119796i	−0.554109	+	0.832444i	$0.686941\pi$
$674$	3.26616	−	14.3100i	0.125808	−	0.551200i
$675$	3.26241	−	4.09093i	0.125570	−	0.157460i
$676$	−0.600228	+	2.62977i	−0.0230857	+	0.101145i
$677$	7.25520	−	3.49392i	0.278840	−	0.134282i	−0.289237	−	0.957257i	$-0.593402\pi$
$677$	7.25520	−	3.49392i	0.278840	−	0.134282i	0.568077	+	0.822975i	$0.307687\pi$
$678$	−19.9684	−	25.0396i	−0.766881	−	0.961639i
$679$	15.2920	−	7.36423i	0.586853	−	0.282613i
$680$	−2.93059	+	3.67484i	−0.112383	+	0.140924i
$681$	−39.4415			−1.51140
$682$	9.51875			0.364492
$683$	26.6788	−	33.4542i	1.02084	−	1.28009i	0.0614148	−	0.998112i	$-0.480439\pi$
$683$	26.6788	−	33.4542i	1.02084	−	1.28009i	0.959421	−	0.281976i	$-0.0909898\pi$
$684$	−5.95009	−	2.86541i	−0.227507	−	0.109562i
$685$	−11.9169	−	52.2113i	−0.455321	−	1.99489i
$686$	7.50825	−	32.8958i	0.286666	−	1.25597i
$687$	8.89020			0.339182
$688$	−12.5102	+	30.1630i	−0.476946	+	1.14996i
$689$	−42.9103			−1.63475
$690$	8.95770	−	39.2462i	0.341014	−	1.49408i
$691$	−5.20344	−	22.7978i	−0.197948	−	0.867268i	−0.972156	−	0.234336i	$-0.924708\pi$
$691$	−5.20344	−	22.7978i	−0.197948	−	0.867268i	0.774207	−	0.632932i	$-0.218149\pi$
$692$	−5.14215	−	2.47633i	−0.195475	−	0.0941359i
$693$	−2.23133	+	2.79800i	−0.0847611	+	0.106287i
$694$	−1.16534			−0.0442357
$695$	31.4526			1.19307
$696$	−6.30305	+	7.90377i	−0.238916	+	0.299592i
$697$	−5.18065	+	2.49487i	−0.196231	+	0.0944999i
$698$	23.1775	+	29.0637i	0.877283	+	1.10008i
$699$	15.1813	−	7.31091i	0.574208	−	0.276524i
$700$	−0.349756	+	1.53238i	−0.0132196	+	0.0579186i
$701$	4.55008	−	5.70562i	0.171854	−	0.215498i	−0.688444	−	0.725289i	$-0.741706\pi$
$701$	4.55008	−	5.70562i	0.171854	−	0.215498i	0.860298	+	0.509791i	$0.170277\pi$
$702$	−8.54965	+	37.4585i	−0.322686	+	1.41378i
$703$	15.6329	+	7.52839i	0.589605	+	0.283939i
$704$	2.48168	+	3.11192i	0.0935317	+	0.117285i
$705$	23.4927	+	29.4589i	0.884787	+	1.10949i
$706$	8.30168	+	36.3720i	0.312438	+	1.36888i
$707$	−33.5328	−	16.1486i	−1.26113	−	0.607329i
$708$	3.32581	−	1.60162i	0.124991	−	0.0601927i
$709$	10.0505	+	44.0343i	0.377456	+	1.65374i	0.705223	+	0.708985i	$0.250847\pi$
$709$	10.0505	+	44.0343i	0.377456	+	1.65374i	−0.327767	+	0.944759i	$0.606296\pi$
$710$	−11.8089	−	51.7380i	−0.443178	−	1.94169i
$711$	−8.65074	+	4.16598i	−0.324428	+	0.156236i
$712$	4.36946	+	2.10422i	0.163752	+	0.0788589i
$713$	−4.94601	−	21.6699i	−0.185230	−	0.811544i
$714$	−2.93469	−	3.67998i	−0.109828	−	0.137720i
$715$	10.7525	+	13.4833i	0.402122	+	0.504246i
$716$	13.5332	+	6.51723i	0.505758	+	0.243560i
$717$	−1.82736	+	8.00619i	−0.0682441	+	0.298997i
$718$	14.9723	−	18.7747i	0.558763	−	0.700666i
$719$	−4.94090	+	21.6475i	−0.184264	+	0.807315i	0.795305	+	0.606209i	$0.207311\pi$
$719$	−4.94090	+	21.6475i	−0.184264	+	0.807315i	−0.979570	+	0.201106i	$0.935546\pi$
$720$	−11.1890	+	5.38832i	−0.416988	+	0.200811i
$721$	12.0357	+	15.0923i	0.448232	+	0.562065i
$722$	−57.0810	+	27.4887i	−2.12433	+	1.02303i
$723$	15.3778	−	19.2831i	0.571905	−	0.717146i
$724$	−11.4473			−0.425437
$725$	−3.44560			−0.127966
$726$	11.6896	−	14.6583i	0.433841	−	0.544020i
$727$	1.19370	+	0.574855i	0.0442719	+	0.0213202i	0.455889	−	0.890037i	$-0.349322\pi$
$727$	1.19370	+	0.574855i	0.0442719	+	0.0213202i	−0.411617	+	0.911357i	$0.635036\pi$
$728$	3.42023	+	14.9850i	0.126762	+	0.555381i
$729$	−6.41914	+	28.1241i	−0.237746	+	1.04163i
$730$	0.633385			0.0234426
$731$	2.51220	−	6.05713i	0.0929172	−	0.224031i
$732$	−4.45234			−0.164563
$733$	−8.81500	+	38.6211i	−0.325590	+	1.42650i	0.501854	+	0.864952i	$0.332651\pi$
$733$	−8.81500	+	38.6211i	−0.325590	+	1.42650i	−0.827444	+	0.561549i	$0.810206\pi$
$734$	−4.10716	−	17.9946i	−0.151598	−	0.664194i
$735$	−9.48021	−	4.56543i	−0.349683	−	0.168398i
$736$	−19.7728	+	24.7943i	−0.728834	+	0.913929i
$737$	7.82345			0.288180
$738$	−9.95890			−0.366592
$739$	−26.1283	+	32.7638i	−0.961145	+	1.20524i	0.0175355	+	0.999846i	$0.494418\pi$
$739$	−26.1283	+	32.7638i	−0.961145	+	1.20524i	−0.978680	+	0.205391i	$0.934153\pi$
$740$	−4.34305	+	2.09150i	−0.159654	+	0.0768852i
$741$	26.4618	+	33.1820i	0.972097	+	1.21897i
$742$	32.2220	−	15.5173i	1.18291	−	0.569657i
$743$	2.27032	−	9.94691i	0.0832899	−	0.364917i	−0.916057	−	0.401048i	$-0.868646\pi$
$743$	2.27032	−	9.94691i	0.0832899	−	0.364917i	0.999347	+	0.0361309i	$0.0115033\pi$
$744$	5.40373	−	6.77607i	0.198110	−	0.248423i
$745$	−4.08737	+	17.9079i	−0.149750	+	0.656096i
$746$	5.20486	+	2.50653i	0.190563	+	0.0917705i
$747$	−6.61066	−	8.28950i	−0.241871	−	0.303297i
$748$	0.942971	+	1.18245i	0.0344784	+	0.0432346i
$749$	−0.619869	−	2.71583i	−0.0226495	−	0.0992341i
$750$	−21.2336	−	10.2256i	−0.775342	−	0.373385i
$751$	−39.4054	+	18.9767i	−1.43792	+	0.692468i	−0.980453	−	0.196756i	$-0.936959\pi$
$751$	−39.4054	+	18.9767i	−1.43792	+	0.692468i	−0.457472	+	0.889224i	$0.651245\pi$
$752$	−12.2040	−	53.4693i	−0.445035	−	1.94983i
$753$	−2.73793	−	11.9957i	−0.0997758	−	0.437146i
$754$	22.7952	−	10.9776i	0.830152	−	0.399780i
$755$	10.2254	+	4.92427i	0.372139	+	0.179213i
$756$	−2.13874	−	9.37043i	−0.0777852	−	0.340799i
$757$	11.6437	+	14.6007i	0.423197	+	0.530672i	0.947028	−	0.321150i	$-0.104069\pi$
$757$	11.6437	+	14.6007i	0.423197	+	0.530672i	−0.523832	+	0.851822i	$0.675498\pi$
$758$	−6.63186	−	8.31609i	−0.240880	−	0.302054i
$759$	15.5417	+	7.48450i	0.564129	+	0.271670i
$760$	−7.86022	+	34.4379i	−0.285120	+	1.24919i
$761$	−0.436284	+	0.547083i	−0.0158153	+	0.0198317i	−0.789676	−	0.613524i	$-0.789751\pi$
$761$	−0.436284	+	0.547083i	−0.0158153	+	0.0198317i	0.773861	+	0.633356i	$0.218323\pi$
$762$	−5.95468	+	26.0891i	−0.215715	+	0.945110i
$763$	6.14146	−	2.95757i	0.222336	−	0.107071i
$764$	5.59508	+	7.01600i	0.202423	+	0.253830i
$765$	2.24689	−	1.08205i	0.0812365	−	0.0391214i
$766$	23.9553	−	30.0390i	0.865539	−	1.08535i
$767$	12.3033			0.444245
$768$	−24.3723			−0.879461
$769$	−5.08892	+	6.38131i	−0.183511	+	0.230116i	−0.865075	−	0.501643i	$-0.832729\pi$
$769$	−5.08892	+	6.38131i	−0.183511	+	0.230116i	0.681563	+	0.731759i	$0.261300\pi$
$770$	−12.9501	−	6.23644i	−0.466689	−	0.224746i
$771$	1.82989	+	8.01727i	0.0659019	+	0.288735i
$772$	1.66660	−	7.30185i	0.0599823	−	0.262799i
$773$	−10.0787			−0.362506			−0.181253	−	0.983436i	$-0.558015\pi$
$773$	−10.0787			−0.362506			−0.181253	+	0.983436i	$0.558015\pi$
$774$	8.47188	−	7.56394i	0.304515	−	0.271880i
$775$	2.95398			0.106110
$776$	−3.68144	+	16.1294i	−0.132156	+	0.579013i
$777$	1.43049	+	6.26737i	0.0513184	+	0.224841i
$778$	−1.73733	−	0.836654i	−0.0622863	−	0.0299955i
$779$	−26.9427	+	33.7851i	−0.965323	+	1.21048i
$780$	−11.7909			−0.422181
$781$	22.7405			0.813720
$782$	7.33626	−	9.19938i	0.262344	−	0.328969i
$783$	18.9831	−	9.14177i	0.678400	−	0.326700i
$784$	9.54917	+	11.9743i	0.341042	+	0.427653i
$785$	−43.7574	+	21.0725i	−1.56177	+	0.752109i
$786$	7.07698	−	31.0063i	0.252428	−	1.10596i
$787$	−17.0430	+	21.3712i	−0.607516	+	0.761801i	−0.986528	−	0.163590i	$-0.947692\pi$
$787$	−17.0430	+	21.3712i	−0.607516	+	0.761801i	0.379012	+	0.925392i	$0.376264\pi$
$788$	0.660844	−	2.89535i	0.0235416	−	0.103142i
$789$	−7.02914	−	3.38506i	−0.250244	−	0.120511i
$790$	−24.0438	−	30.1499i	−0.855438	−	1.07269i
$791$	16.6489	+	20.8770i	0.591966	+	0.742302i
$792$	−0.776243	−	3.40094i	−0.0275826	−	0.120847i
$793$	−13.3700	−	6.43865i	−0.474782	−	0.228643i
$794$	−18.0104	+	8.67335i	−0.639165	+	0.307806i
$795$	−8.13009	−	35.6203i	−0.288345	−	1.26332i
$796$	4.78727	+	20.9744i	0.169680	+	0.743418i
$797$	10.1583	−	4.89198i	0.359825	−	0.173283i	−0.245233	−	0.969464i	$-0.578864\pi$
$797$	10.1583	−	4.89198i	0.359825	−	0.173283i	0.605058	+	0.796182i	$0.293150\pi$
$798$	−31.8699	−	15.3477i	−1.12818	−	0.543303i
$799$	2.45073	+	10.7373i	0.0867005	+	0.379860i
$800$	−2.62779	−	3.29515i	−0.0929065	−	0.116501i
$801$	−1.60433	−	2.01176i	−0.0566861	−	0.0710822i
$802$	−49.5081	−	23.8418i	−1.74819	−	0.841885i
$803$	−0.0603953	+	0.264609i	−0.00213130	+	0.00933785i
$804$	−3.33497	+	4.18192i	−0.117615	+	0.147485i
$805$	−7.46859	+	32.7220i	−0.263233	+	1.15330i
$806$	−19.5428	+	9.41131i	−0.688365	+	0.331499i
$807$	−1.32788	−	1.66510i	−0.0467435	−	0.0586144i
$808$	32.6861	−	15.7408i	1.14989	−	0.553759i
$809$	−8.86380	+	11.1149i	−0.311635	+	0.390777i	−0.912840	−	0.408317i	$-0.866116\pi$
$809$	−8.86380	+	11.1149i	−0.311635	+	0.390777i	0.601206	+	0.799094i	$0.294687\pi$
$810$	−20.0671			−0.705085
$811$	−20.0707			−0.704778			−0.352389	−	0.935854i	$-0.614631\pi$
$811$	−20.0707			−0.704778			−0.352389	+	0.935854i	$0.614631\pi$
$812$	−3.94614	+	4.94830i	−0.138482	+	0.173651i
$813$	2.63510	+	1.26900i	0.0924171	+	0.0445057i
$814$	−1.53141	−	6.70955i	−0.0536760	−	0.235170i
$815$	5.68225	−	24.8956i	0.199041	−	0.872054i
$816$	6.99911			0.245018
$817$	−2.74057	−	49.2039i	−0.0958805	−	1.72143i
$818$	−4.15007			−0.145104
$819$	1.81469	−	7.95066i	0.0634102	−	0.277818i
$820$	−2.67141	−	11.7042i	−0.0932895	−	0.408728i
$821$	18.6884	+	8.99985i	0.652229	+	0.314097i	0.730578	−	0.682829i	$-0.239251\pi$
$821$	18.6884	+	8.99985i	0.652229	+	0.314097i	−0.0783492	+	0.996926i	$0.524965\pi$
$822$	−32.5928	+	40.8700i	−1.13680	+	1.42551i
$823$	28.6478			0.998600			0.499300	−	0.866429i	$-0.333591\pi$
$823$	28.6478			0.998600			0.499300	+	0.866429i	$0.333591\pi$
$824$	−18.8163			−0.655496
$825$	−1.42936	+	1.79236i	−0.0497640	+	0.0624021i
$826$	−9.23870	+	4.44912i	−0.321455	+	0.154805i
$827$	−7.89282	−	9.89729i	−0.274460	−	0.344162i	0.625429	−	0.780281i	$-0.284924\pi$
$827$	−7.89282	−	9.89729i	−0.274460	−	0.344162i	−0.899889	+	0.436119i	$0.856353\pi$
$828$	5.51087	−	2.65390i	0.191516	−	0.0922293i
$829$	1.74238	−	7.63386i	0.0605153	−	0.265135i	−0.935615	−	0.353022i	$-0.885154\pi$
$829$	1.74238	−	7.63386i	0.0605153	−	0.265135i	0.996130	+	0.0878868i	$0.0280114\pi$
$830$	26.5506	−	33.2934i	0.921584	−	1.15563i
$831$	9.29759	−	40.7354i	0.322530	−	1.41310i
$832$	−8.17189	−	3.93537i	−0.283309	−	0.136435i
$833$	−1.91760	−	2.40459i	−0.0664408	−	0.0833141i
$834$	−19.1419	−	24.0032i	−0.662831	−	0.831164i
$835$	−3.31985	−	14.5452i	−0.114888	−	0.503358i
$836$	10.2404	+	4.93151i	0.354171	+	0.170560i
$837$	−16.2746	+	7.83742i	−0.562532	+	0.270901i
$838$	7.22895	+	31.6721i	0.249720	+	1.09409i
$839$	−5.90765	−	25.8831i	−0.203955	−	0.893584i	−0.968500	−	0.249014i	$-0.919894\pi$
$839$	−5.90765	−	25.8831i	−0.203955	−	0.893584i	0.764545	−	0.644570i	$-0.222964\pi$
$840$	−11.7912	+	5.67834i	−0.406835	+	0.195921i
$841$	13.6277	+	6.56277i	0.469922	+	0.226302i
$842$	−10.7205	−	46.9697i	−0.369453	−	1.61868i
$843$	−18.9693	−	23.7868i	−0.653339	−	0.819261i
$844$	−13.2409	−	16.6035i	−0.455769	−	0.571517i
$845$	−6.89686	−	3.32135i	−0.237259	−	0.114258i
$846$	−4.24455	+	18.5966i	−0.145931	+	0.639364i
$847$	−9.74633	+	12.2215i	−0.334888	+	0.419936i
$848$	−11.8338	+	51.8472i	−0.406374	+	1.78044i
$849$	29.6581	−	14.2826i	1.01786	−	0.490177i
$850$	0.974985	+	1.22259i	0.0334417	+	0.0419346i
$851$	−14.4789	+	6.97267i	−0.496330	+	0.239020i
$852$	−9.69380	+	12.1556i	−0.332104	+	0.416445i
$853$	−20.2764			−0.694250			−0.347125	−	0.937819i	$-0.612842\pi$
$853$	−20.2764			−0.694250			−0.347125	+	0.937819i	$0.612842\pi$
$854$	12.3681			0.423227
$855$	11.6853	−	14.6529i	0.399628	−	0.501118i
$856$	2.44643	+	1.17814i	0.0836171	+	0.0402679i
$857$	11.0615	+	48.4638i	0.377855	+	1.65549i	0.704022	+	0.710178i	$0.251386\pi$
$857$	11.0615	+	48.4638i	0.377855	+	1.65549i	−0.326167	+	0.945312i	$0.605757\pi$
$858$	3.74587	−	16.4117i	0.127882	−	0.560287i
$859$	−17.0916			−0.583159			−0.291580	−	0.956547i	$-0.594181\pi$
$859$	−17.0916			−0.583159			−0.291580	+	0.956547i	$0.594181\pi$
$860$	11.1620	+	7.92760i	0.380623	+	0.270329i
$861$	−16.0102			−0.545626
$862$	9.04482	−	39.6279i	0.308068	−	1.34973i
$863$	−2.23924	−	9.81077i	−0.0762248	−	0.333963i	0.922409	−	0.386214i	$-0.126217\pi$
$863$	−2.23924	−	9.81077i	−0.0762248	−	0.333963i	−0.998634	+	0.0522515i	$0.983360\pi$
$864$	23.2201	+	11.1822i	0.789963	+	0.380426i
$865$	10.0986	−	12.6632i	0.343362	−	0.430563i
$866$	−51.8636			−1.76240
$867$	−1.40551			−0.0477337
$868$	3.38310	−	4.24228i	0.114830	−	0.143992i
$869$	14.8884	−	7.16985i	0.505053	−	0.243221i
$870$	13.4316	+	16.8426i	0.455372	+	0.571019i
$871$	−16.0622	+	7.73514i	−0.544246	+	0.262095i
$872$	−1.47852	+	6.47780i	−0.0500688	+	0.219366i
$873$	5.47296	−	6.86288i	0.185232	−	0.232273i
$874$	19.6768	−	86.2096i	0.665577	−	2.91608i
$875$	17.7038	+	8.52570i	0.598498	+	0.288221i
$876$	−0.115698	−	0.145081i	−0.00390907	−	0.00490182i
$877$	−4.47184	−	5.60751i	−0.151003	−	0.189352i	0.700576	−	0.713578i	$-0.252926\pi$
$877$	−4.47184	−	5.60751i	−0.151003	−	0.189352i	−0.851580	+	0.524225i	$0.824355\pi$
$878$	12.4416	+	54.5100i	0.419882	+	1.83962i
$879$	12.9176	+	6.22079i	0.435700	+	0.209822i
$880$	19.2568	−	9.27357i	0.649146	−	0.312612i
$881$	−4.17270	−	18.2818i	−0.140582	−	0.615930i	−0.995300	−	0.0968375i	$-0.969127\pi$
$881$	−4.17270	−	18.2818i	−0.140582	−	0.615930i	0.854718	−	0.519092i	$-0.173730\pi$
$882$	−1.18532	−	5.19323i	−0.0399118	−	0.174865i
$883$	10.1782	−	4.90158i	0.342525	−	0.164951i	−0.254710	−	0.967017i	$-0.581980\pi$
$883$	10.1782	−	4.90158i	0.342525	−	0.164951i	0.597235	+	0.802066i	$0.296266\pi$
$884$	−3.10510	−	1.49534i	−0.104436	−	0.0502936i
$885$	2.33106	+	10.2131i	0.0783579	+	0.343308i
$886$	19.8464	+	24.8866i	0.666754	+	0.836083i
$887$	31.8008	+	39.8769i	1.06777	+	1.33894i	0.937706	+	0.347429i	$0.112945\pi$
$887$	31.8008	+	39.8769i	1.06777	+	1.33894i	0.130059	+	0.991506i	$0.458483\pi$
$888$	−5.64567	−	2.71881i	−0.189456	−	0.0912374i
$889$	4.96478	−	21.7521i	0.166514	−	0.729543i
$890$	6.44351	−	8.07991i	0.215987	−	0.270839i
$891$	1.91346	−	8.38341i	0.0641033	−	0.280855i
$892$	−9.81307	+	4.72573i	−0.328566	+	0.158229i
$893$	51.6049	+	64.7105i	1.72689	+	2.16546i
$894$	16.1541	−	7.77940i	0.540274	−	0.260182i
$895$	−26.5776	+	33.3272i	−0.888390	+	1.11401i
$896$	25.6113			0.855614
$897$	−39.3085			−1.31247
$898$	40.1617	−	50.3612i	1.34021	−	1.68058i
$899$	10.7168	+	5.16095i	0.357426	+	0.172127i
$900$	0.180886	+	0.792513i	0.00602953	+	0.0264171i
$901$	2.37638	−	10.4116i	0.0791686	−	0.346860i
$902$	17.1398			0.570691
$903$	13.6196	−	12.1600i	0.453232	−	0.404659i
$904$	−26.0285			−0.865694
$905$	7.22889	−	31.6718i	0.240297	−	1.05281i
$906$	−2.46513	−	10.8004i	−0.0818983	−	0.358820i
$907$	−44.3971	−	21.3805i	−1.47418	−	0.709928i	−0.487579	−	0.873079i	$-0.662120\pi$
$907$	−44.3971	−	21.3805i	−1.47418	−	0.709928i	−0.986601	+	0.163151i	$0.947834\pi$
$908$	15.0071	−	18.8183i	0.498029	−	0.624508i
$909$	−19.2486			−0.638436
$910$	32.7537			1.08577
$911$	−5.84593	+	7.33057i	−0.193684	+	0.242873i	−0.869185	−	0.494487i	$-0.835356\pi$
$911$	−5.84593	+	7.33057i	−0.193684	+	0.242873i	0.675501	+	0.737359i	$0.263927\pi$
$912$	47.3904	−	22.8220i	1.56925	−	0.755713i
$913$	11.3773	+	14.2666i	0.376533	+	0.472157i
$914$	44.9337	−	21.6389i	1.48628	−	0.715752i
$915$	2.81162	−	12.3185i	0.0929491	−	0.407237i
$916$	−3.38264	+	4.24169i	−0.111765	+	0.140149i
$917$	−5.90052	+	25.8519i	−0.194852	+	0.853704i
$918$	−8.61530	−	4.14891i	−0.284347	−	0.136934i
$919$	31.4123	+	39.3898i	1.03620	+	1.29935i	0.953050	+	0.302812i	$0.0979255\pi$
$919$	31.4123	+	39.3898i	1.03620	+	1.29935i	0.0831466	+	0.996537i	$0.473503\pi$
$920$	−20.3981	−	25.5784i	−0.672506	−	0.843296i
$921$	−3.31647	−	14.5304i	−0.109281	−	0.478793i
$922$	−36.6613	−	17.6552i	−1.20738	−	0.581442i
$923$	−46.6882	+	22.4839i	−1.53676	+	0.740065i
$924$	0.937048	+	4.10548i	0.0308266	+	0.135060i
$925$	−0.475248	−	2.08220i	−0.0156260	−	0.0684622i
$926$	27.0897	−	13.0457i	0.890221	−	0.428708i
$927$	8.99477	+	4.33165i	0.295427	+	0.142270i
$928$	−3.77642	−	16.5456i	−0.123967	−	0.543136i
$929$	−2.25395	−	2.82636i	−0.0739496	−	0.0927298i	0.743481	−	0.668757i	$-0.233174\pi$
$929$	−2.25395	−	2.82636i	−0.0739496	−	0.0927298i	−0.817430	+	0.576028i	$0.804602\pi$
$930$	−11.5151	−	14.4395i	−0.377597	−	0.473491i
$931$	−20.8246	−	10.0286i	−0.682497	−	0.328673i
$932$	−2.28814	+	10.0250i	−0.0749506	+	0.328380i
$933$	1.15083	−	1.44309i	0.0376764	−	0.0472447i
$934$	−8.54746	+	37.4489i	−0.279682	+	1.22536i
$935$	−3.86701	+	1.86225i	−0.126465	+	0.0609022i
$936$	4.95625	+	6.21493i	0.162000	+	0.203141i
$937$	−39.4804	+	19.0127i	−1.28977	+	0.621119i	−0.947882	−	0.318622i	$-0.896780\pi$
$937$	−39.4804	+	19.0127i	−1.28977	+	0.621119i	−0.341886	+	0.939741i	$0.611066\pi$
$938$	9.26414	−	11.6169i	0.302485	−	0.379304i
$939$	−18.7035			−0.610367
$940$	−22.9942			−0.749988
$941$	−15.5522	+	19.5019i	−0.506988	+	0.635743i	−0.967790	−	0.251760i	$-0.918991\pi$
$941$	−15.5522	+	19.5019i	−0.506988	+	0.635743i	0.460802	+	0.887503i	$0.347562\pi$
$942$	42.7122	+	20.5691i	1.39164	+	0.670177i
$943$	−8.90595	−	39.0195i	−0.290018	−	1.27065i
$944$	3.39299	−	14.8657i	0.110432	−	0.483836i
$945$	27.2762			0.887294
$946$	−14.5805	+	13.0179i	−0.474054	+	0.423249i
$947$	38.9210			1.26476			0.632381	−	0.774657i	$-0.282078\pi$
$947$	38.9210			1.26476			0.632381	+	0.774657i	$0.282078\pi$
$948$	−2.51404	+	11.0147i	−0.0816522	+	0.357741i
$949$	−0.137626	−	0.602978i	−0.00446752	−	0.0195735i
$950$	10.5881	+	5.09894i	0.343522	+	0.165431i
$951$	0.874377	−	1.09643i	0.0283536	−	0.0355543i
$952$	−3.82532			−0.123979
$953$	−4.37778			−0.141810			−0.0709051	−	0.997483i	$-0.522589\pi$
$953$	−4.37778			−0.141810			−0.0709051	+	0.997483i	$0.522589\pi$
$954$	11.5322	−	14.4609i	0.373368	−	0.468188i
$955$	−22.9447	+	11.0496i	−0.742474	+	0.357556i
$956$	−3.12462	−	3.91815i	−0.101057	−	0.126722i
$957$	−8.31708	+	4.00529i	−0.268853	+	0.129473i
$958$	0.532268	−	2.33202i	0.0171968	−	0.0753441i
$959$	27.1746	−	34.0759i	0.877514	−	1.10037i
$960$	1.71849	−	7.52920i	0.0554640	−	0.243004i
$961$	18.7423	+	9.02581i	0.604590	+	0.291155i
$962$	9.77794	+	12.2611i	0.315253	+	0.395315i
$963$	−0.898251	−	1.12637i	−0.0289457	−	0.0362968i
$964$	3.34926	+	14.6741i	0.107872	+	0.472620i
$965$	19.1499	+	9.22211i	0.616457	+	0.296870i
$966$	29.5173	−	14.2148i	0.949705	−	0.457354i
$967$	10.4237	+	45.6690i	0.335202	+	1.46862i	0.808909	+	0.587934i	$0.200059\pi$
$967$	10.4237	+	45.6690i	0.335202	+	1.46862i	−0.473707	+	0.880683i	$0.657084\pi$
$968$	−3.39059	−	14.8552i	−0.108978	−	0.477463i
$969$	−9.51661	+	4.58296i	−0.305718	+	0.147226i
$970$	31.7638	+	15.2966i	1.01987	+	0.491145i
$971$	−9.79465	−	42.9132i	−0.314325	−	1.37715i	−0.847344	−	0.531045i	$-0.821799\pi$
$971$	−9.79465	−	42.9132i	−0.314325	−	1.37715i	0.533018	−	0.846104i	$-0.321058\pi$
$972$	−5.40950	−	6.78330i	−0.173510	−	0.217575i
$973$	15.9598	+	20.0130i	0.511648	+	0.641587i
$974$	−1.64302	−	0.791236i	−0.0526457	−	0.0253528i
$975$	1.16247	−	5.09310i	0.0372287	−	0.163110i
$976$	−11.4668	+	14.3789i	−0.367044	+	0.460258i
$977$	11.0943	−	48.6074i	0.354939	−	1.55509i	−0.410671	−	0.911784i	$-0.634706\pi$
$977$	11.0943	−	48.6074i	0.354939	−	1.55509i	0.765610	−	0.643305i	$-0.222437\pi$
$978$	−22.4574	+	10.8149i	−0.718108	+	0.345822i
$979$	2.76113	+	3.46234i	0.0882460	+	0.110657i
$980$	5.78539	−	2.78610i	0.184807	−	0.0889986i
$981$	2.19801	−	2.75622i	0.0701772	−	0.0879994i
$982$	−60.4626			−1.92944
$983$	35.6646			1.13752			0.568762	−	0.822502i	$-0.307423\pi$
$983$	35.6646			1.13752			0.568762	+	0.822502i	$0.307423\pi$
$984$	9.73013	−	12.2012i	0.310185	−	0.388960i
$985$	7.59336	+	3.65677i	0.241945	+	0.116514i
$986$	1.40116	+	6.13888i	0.0446220	+	0.195502i
$987$	−6.82365	+	29.8964i	−0.217199	+	0.951612i
$988$	−25.9002			−0.823996
$989$	37.2121	+	26.4291i	1.18328	+	0.840396i
$990$	−7.43365			−0.236257
$991$	0.744694	−	3.26272i	0.0236560	−	0.103644i	−0.961722	−	0.274028i	$-0.911644\pi$
$991$	0.744694	−	3.26272i	0.0236560	−	0.103644i	0.985378	+	0.170385i	$0.0545010\pi$
$992$	3.23761	+	14.1849i	0.102794	+	0.450370i
$993$	31.7671	+	15.2982i	1.00810	+	0.485475i
$994$	26.9282	−	33.7669i	0.854112	−	1.07102i
$995$	−61.0539			−1.93554
$996$	−12.4759			−0.395315
$997$	−3.98834	+	5.00122i	−0.126312	+	0.158390i	−0.840966	−	0.541088i	$-0.818013\pi$
$997$	−3.98834	+	5.00122i	−0.126312	+	0.158390i	0.714654	+	0.699478i	$0.246584\pi$
$998$	−6.66725	+	3.21078i	−0.211048	+	0.101635i
$999$	8.14274	+	10.2107i	0.257625	+	0.323051i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.a.35.8	✓	180
43.16	even	7	inner	731.2.k.a.188.8	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.8	✓	180	1.1	even	1	trivial
731.2.k.a.188.8	yes	180	43.16	even	7	inner

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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.376167 + 1.64810i) q^{2} +(0.312756 + 1.37027i) q^{3} +(-0.772785 - 0.372154i) q^{4} +(1.51766 - 1.90309i) q^{5} -2.37599 q^{6} +1.98101 q^{7} +(-1.20395 + 1.50971i) q^{8} +(0.923074 - 0.444529i) q^{9} +O(q^{10})\)	\(q+(-0.376167 + 1.64810i) q^{2} +(0.312756 + 1.37027i) q^{3} +(-0.772785 - 0.372154i) q^{4} +(1.51766 - 1.90309i) q^{5} -2.37599 q^{6} +1.98101 q^{7} +(-1.20395 + 1.50971i) q^{8} +(0.923074 - 0.444529i) q^{9} +(2.56558 + 3.21713i) q^{10} +(-1.58866 + 0.765056i) q^{11} +(0.268259 - 1.17532i) q^{12} +(2.50522 - 3.14145i) q^{13} +(-0.745193 + 3.26490i) q^{14} +(3.08241 + 1.48441i) q^{15} +(-3.10483 - 3.89333i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.385397 + 1.68853i) q^{18} +(6.77092 + 3.26070i) q^{19} +(-1.88107 + 0.905874i) q^{20} +(0.619574 + 2.71453i) q^{21} +(-0.663286 - 2.90605i) q^{22} +(-6.27111 + 3.02001i) q^{23} +(-2.44526 - 1.17757i) q^{24} +(-0.205840 - 0.901843i) q^{25} +(4.23503 + 5.31056i) q^{26} +(3.52679 + 4.42246i) q^{27} +(-1.53090 - 0.737242i) q^{28} +(0.828853 - 3.63144i) q^{29} +(-3.60595 + 4.52172i) q^{30} +(-0.710592 + 3.11331i) q^{31} +(4.10500 - 1.97686i) q^{32} +(-1.54520 - 1.93762i) q^{33} +(-1.52307 + 0.733472i) q^{34} +(3.00651 - 3.77004i) q^{35} -0.878771 q^{36} +2.30882 q^{37} +(-7.92096 + 9.93257i) q^{38} +(5.08816 + 2.45033i) q^{39} +(1.04592 + 4.58246i) q^{40} +(-1.27951 + 5.60592i) q^{41} -4.70687 q^{42} +(-3.16932 - 5.74068i) q^{43} +1.51241 q^{44} +(0.554936 - 2.43133i) q^{45} +(-2.61828 - 11.4714i) q^{46} +(9.92279 + 4.77856i) q^{47} +(4.36388 - 5.47213i) q^{48} -3.07559 q^{49} +1.56376 q^{50} +(-0.876323 + 1.09887i) q^{51} +(-3.10510 + 1.49534i) q^{52} +(-6.65846 - 8.34945i) q^{53} +(-8.61530 + 4.14891i) q^{54} +(-0.955072 + 4.18444i) q^{55} +(-2.38505 + 2.99075i) q^{56} +(-2.35041 + 10.2978i) q^{57} +(5.67318 + 2.73206i) q^{58} +(1.90912 + 2.39396i) q^{59} +(-1.82961 - 2.29426i) q^{60} +(-0.821818 - 3.60062i) q^{61} +(-4.86373 - 2.34225i) q^{62} +(1.82862 - 0.880617i) q^{63} +(-0.502304 - 2.20074i) q^{64} +(-2.17637 - 9.53531i) q^{65} +(3.77463 - 1.81777i) q^{66} +(-3.99750 - 1.92509i) q^{67} +(-0.190862 - 0.836222i) q^{68} +(-6.09957 - 7.64861i) q^{69} +(5.08244 + 6.37318i) q^{70} +(-11.6196 - 5.59570i) q^{71} +(-0.440228 + 1.92876i) q^{72} +(0.0959713 - 0.120344i) q^{73} +(-0.868505 + 3.80517i) q^{74} +(1.17139 - 0.564113i) q^{75} +(-4.01899 - 5.03965i) q^{76} +(-3.14715 + 1.51559i) q^{77} +(-5.95239 + 7.46406i) q^{78} -9.37167 q^{79} -12.1214 q^{80} +(-3.04059 + 3.81278i) q^{81} +(-8.75779 - 4.21753i) q^{82} +(-2.30282 - 10.0893i) q^{83} +(0.531425 - 2.32833i) q^{84} +2.43414 q^{85} +(10.6534 - 3.06389i) q^{86} +5.23529 q^{87} +(0.757654 - 3.31950i) q^{88} +(-0.558867 - 2.44855i) q^{89} +(3.79833 + 1.82918i) q^{90} +(4.96287 - 6.22325i) q^{91} +5.97013 q^{92} -4.48833 q^{93} +(-11.6082 + 14.5562i) q^{94} +(16.4814 - 7.93701i) q^{95} +(3.99271 + 5.00670i) q^{96} +(7.71927 - 3.71741i) q^{97} +(1.15694 - 5.06887i) q^{98} +(-1.12636 + 1.41241i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

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