LMFDB - Embedded newform 731.2.k.b.35.12

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			35.12
Character	$\chi$	$=$	731.35
Dual form			731.2.k.b.188.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.212222 + 0.929804i) q^{2} +(-0.151920 - 0.665606i) q^{3} +(0.982440 + 0.473118i) q^{4} +(2.43514 - 3.05357i) q^{5} +0.651124 q^{6} +4.10878 q^{7} +(-1.83767 + 2.30436i) q^{8} +(2.28296 - 1.09941i) q^{9} +O(q^{10})$	\(q+(-0.212222 + 0.929804i) q^{2} +(-0.151920 - 0.665606i) q^{3} +(0.982440 + 0.473118i) q^{4} +(2.43514 - 3.05357i) q^{5} +0.651124 q^{6} +4.10878 q^{7} +(-1.83767 + 2.30436i) q^{8} +(2.28296 - 1.09941i) q^{9} +(2.32243 + 2.91224i) q^{10} +(1.60388 - 0.772386i) q^{11} +(0.165658 - 0.725794i) q^{12} +(-3.81908 + 4.78897i) q^{13} +(-0.871973 + 3.82036i) q^{14} +(-2.40242 - 1.15695i) q^{15} +(-0.392872 - 0.492646i) q^{16} +(-0.623490 - 0.781831i) q^{17} +(0.537746 + 2.35602i) q^{18} +(-3.81829 - 1.83879i) q^{19} +(3.83708 - 1.84784i) q^{20} +(-0.624207 - 2.73483i) q^{21} +(0.377790 + 1.65521i) q^{22} +(-1.01347 + 0.488062i) q^{23} +(1.81297 + 0.873083i) q^{24} +(-2.28178 - 9.99712i) q^{25} +(-3.64231 - 4.56732i) q^{26} +(-2.35562 - 2.95385i) q^{27} +(4.03663 + 1.94394i) q^{28} +(0.825133 - 3.61514i) q^{29} +(1.58558 - 1.98825i) q^{30} +(-0.947532 + 4.15141i) q^{31} +(-4.76957 + 2.29690i) q^{32} +(-0.757766 - 0.950208i) q^{33} +(0.859268 - 0.413802i) q^{34} +(10.0055 - 12.5465i) q^{35} +2.76302 q^{36} -10.1509 q^{37} +(2.52004 - 3.16003i) q^{38} +(3.76776 + 1.81446i) q^{39} +(2.56155 + 11.2229i) q^{40} +(-2.00574 + 8.78774i) q^{41} +2.67533 q^{42} +(-6.49110 + 0.930419i) q^{43} +1.94114 q^{44} +(2.20218 - 9.64839i) q^{45} +(-0.238722 - 1.04591i) q^{46} +(11.5123 + 5.54404i) q^{47} +(-0.268223 + 0.336341i) q^{48} +9.88211 q^{49} +9.77961 q^{50} +(-0.425671 + 0.533774i) q^{51} +(-6.01776 + 2.89800i) q^{52} +(1.81830 + 2.28007i) q^{53} +(3.24641 - 1.56339i) q^{54} +(1.54713 - 6.77842i) q^{55} +(-7.55057 + 9.46812i) q^{56} +(-0.643835 + 2.82082i) q^{57} +(3.18626 + 1.53442i) q^{58} +(-6.11448 - 7.66732i) q^{59} +(-1.81286 - 2.27326i) q^{60} +(0.959876 + 4.20549i) q^{61} +(-3.65891 - 1.76204i) q^{62} +(9.38017 - 4.51725i) q^{63} +(-1.40389 - 6.15086i) q^{64} +(5.32347 + 23.3237i) q^{65} +(1.04432 - 0.502919i) q^{66} +(-7.31160 - 3.52108i) q^{67} +(-0.242643 - 1.06309i) q^{68} +(0.478824 + 0.600426i) q^{69} +(9.54238 + 11.9658i) q^{70} +(0.588643 + 0.283476i) q^{71} +(-1.66187 + 7.28111i) q^{72} +(-6.23168 + 7.81428i) q^{73} +(2.15424 - 9.43834i) q^{74} +(-6.30750 + 3.03753i) q^{75} +(-2.88127 - 3.61300i) q^{76} +(6.58998 - 3.17357i) q^{77} +(-2.48669 + 3.11821i) q^{78} +9.56705 q^{79} -2.46103 q^{80} +(3.13133 - 3.92656i) q^{81} +(-7.74521 - 3.72990i) q^{82} +(-0.886795 - 3.88530i) q^{83} +(0.680652 - 2.98213i) q^{84} -3.90566 q^{85} +(0.512444 - 6.23290i) q^{86} -2.53161 q^{87} +(-1.16753 + 5.11530i) q^{88} +(-0.926657 - 4.05995i) q^{89} +(8.50377 + 4.09520i) q^{90} +(-15.6918 + 19.6768i) q^{91} -1.22659 q^{92} +2.90715 q^{93} +(-7.59804 + 9.52764i) q^{94} +(-14.9130 + 7.18170i) q^{95} +(2.25343 + 2.82571i) q^{96} +(13.4403 - 6.47249i) q^{97} +(-2.09720 + 9.18842i) q^{98} +(2.81240 - 3.52664i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) $ 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * 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 $

$2$	−0.212222	+	0.929804i	−0.150063	+	0.657471i	0.842801	+	0.538225i	$0.180905\pi$
$2$	−0.212222	+	0.929804i	−0.150063	+	0.657471i	−0.992865	+	0.119246i	$0.961952\pi$
$3$	−0.151920	−	0.665606i	−0.0877112	−	0.384288i	0.911950	−	0.410300i	$-0.134576\pi$
$3$	−0.151920	−	0.665606i	−0.0877112	−	0.384288i	−0.999662	+	0.0260126i	$0.991719\pi$
$4$	0.982440	+	0.473118i	0.491220	+	0.236559i
$5$	2.43514	−	3.05357i	1.08903	−	1.36560i	0.163666	−	0.986516i	$-0.447668\pi$
$5$	2.43514	−	3.05357i	1.08903	−	1.36560i	0.925363	−	0.379083i	$-0.123761\pi$
$6$	0.651124			0.265820
$7$	4.10878			1.55297			0.776487	−	0.630133i	$-0.217000\pi$
$7$	4.10878			1.55297			0.776487	+	0.630133i	$0.217000\pi$
$8$	−1.83767	+	2.30436i	−0.649713	+	0.814715i
$9$	2.28296	−	1.09941i	0.760985	−	0.366471i
$10$	2.32243	+	2.91224i	0.734418	+	0.920931i
$11$	1.60388	−	0.772386i	0.483587	−	0.232883i	−0.176174	−	0.984359i	$-0.556372\pi$
$11$	1.60388	−	0.772386i	0.483587	−	0.232883i	0.659760	+	0.751476i	$0.270658\pi$
$12$	0.165658	−	0.725794i	0.0478213	−	0.209519i
$13$	−3.81908	+	4.78897i	−1.05922	+	1.32822i	−0.117037	+	0.993128i	$0.537340\pi$
$13$	−3.81908	+	4.78897i	−1.05922	+	1.32822i	−0.942185	+	0.335094i	$0.891232\pi$
$14$	−0.871973	+	3.82036i	−0.233045	+	1.02104i
$15$	−2.40242	−	1.15695i	−0.620303	−	0.298722i
$16$	−0.392872	−	0.492646i	−0.0982181	−	0.123162i
$17$	−0.623490	−	0.781831i	−0.151218	−	0.189622i
$17$	−0.623490	−	0.781831i	−0.151218	−	0.189622i
$18$	0.537746	+	2.35602i	0.126748	+	0.555319i
$19$	−3.81829	−	1.83879i	−0.875975	−	0.421847i	−0.0588224	−	0.998268i	$-0.518735\pi$
$19$	−3.81829	−	1.83879i	−0.875975	−	0.421847i	−0.817153	+	0.576421i	$0.804449\pi$
$20$	3.83708	−	1.84784i	0.857998	−	0.413190i
$21$	−0.624207	−	2.73483i	−0.136213	−	0.596789i
$22$	0.377790	+	1.65521i	0.0805451	+	0.352891i
$23$	−1.01347	+	0.488062i	−0.211324	+	0.101768i	−0.536551	−	0.843868i	$-0.680273\pi$
$23$	−1.01347	+	0.488062i	−0.211324	+	0.101768i	0.325228	+	0.945636i	$0.394559\pi$
$24$	1.81297	+	0.873083i	0.370072	+	0.178217i
$25$	−2.28178	−	9.99712i	−0.456356	−	1.99942i
$26$	−3.64231	−	4.56732i	−0.714317	−	0.895725i
$27$	−2.35562	−	2.95385i	−0.453338	−	0.568468i
$28$	4.03663	+	1.94394i	0.762852	+	0.367370i
$29$	0.825133	−	3.61514i	0.153223	−	0.671315i	−0.838713	−	0.544574i	$-0.816691\pi$
$29$	0.825133	−	3.61514i	0.153223	−	0.671315i	0.991936	−	0.126741i	$-0.0404516\pi$
$30$	1.58558	−	1.98825i	0.289486	−	0.363004i
$31$	−0.947532	+	4.15141i	−0.170182	+	0.745615i	0.815741	+	0.578417i	$0.196329\pi$
$31$	−0.947532	+	4.15141i	−0.170182	+	0.745615i	−0.985923	+	0.167199i	$0.946528\pi$
$32$	−4.76957	+	2.29690i	−0.843149	+	0.406039i
$33$	−0.757766	−	0.950208i	−0.131910	−	0.165410i
$34$	0.859268	−	0.413802i	0.147363	−	0.0709664i
$35$	10.0055	−	12.5465i	1.69123	−	2.12074i
$36$	2.76302			0.460503
$37$	−10.1509			−1.66880			−0.834398	−	0.551162i	$-0.814185\pi$
$37$	−10.1509			−1.66880			−0.834398	+	0.551162i	$0.814185\pi$
$38$	2.52004	−	3.16003i	0.408804	−	0.512624i
$39$	3.76776	+	1.81446i	0.603325	+	0.290546i
$40$	2.56155	+	11.2229i	0.405017	+	1.77450i
$41$	−2.00574	+	8.78774i	−0.313245	+	1.37241i	0.535912	+	0.844274i	$0.319968\pi$
$41$	−2.00574	+	8.78774i	−0.313245	+	1.37241i	−0.849157	+	0.528141i	$0.822889\pi$
$42$	2.67533			0.412812
$43$	−6.49110	+	0.930419i	−0.989883	+	0.141888i
$43$	−6.49110	+	0.930419i	−0.989883	+	0.141888i
$44$	1.94114			0.292638
$45$	2.20218	−	9.64839i	0.328282	−	1.43830i
$46$	−0.238722	−	1.04591i	−0.0351976	−	0.154211i
$47$	11.5123	+	5.54404i	1.67924	+	0.808682i	0.996987	+	0.0775697i	$0.0247160\pi$
$47$	11.5123	+	5.54404i	1.67924	+	0.808682i	0.682258	+	0.731112i	$0.260998\pi$
$48$	−0.268223	+	0.336341i	−0.0387146	+	0.0485466i
$49$	9.88211			1.41173
$50$	9.77961			1.38305
$51$	−0.425671	+	0.533774i	−0.0596059	+	0.0747434i
$52$	−6.01776	+	2.89800i	−0.834514	+	0.401881i
$53$	1.81830	+	2.28007i	0.249763	+	0.313192i	0.890870	−	0.454259i	$-0.150096\pi$
$53$	1.81830	+	2.28007i	0.249763	+	0.313192i	−0.641107	+	0.767451i	$0.721525\pi$
$54$	3.24641	−	1.56339i	0.441781	−	0.212750i
$55$	1.54713	−	6.77842i	0.208615	−	0.914002i
$56$	−7.55057	+	9.46812i	−1.00899	+	1.26523i
$57$	−0.643835	+	2.82082i	−0.0852780	+	0.373627i
$58$	3.18626	+	1.53442i	0.418377	+	0.201480i
$59$	−6.11448	−	7.66732i	−0.796038	−	0.998199i	−0.999816	−	0.0191825i	$-0.993894\pi$
$59$	−6.11448	−	7.66732i	−0.796038	−	0.998199i	0.203778	−	0.979017i	$-0.434678\pi$
$60$	−1.81286	−	2.27326i	−0.234040	−	0.293477i
$61$	0.959876	+	4.20549i	0.122899	+	0.538458i	0.998466	+	0.0553610i	$0.0176310\pi$
$61$	0.959876	+	4.20549i	0.122899	+	0.538458i	−0.875567	+	0.483097i	$0.839512\pi$
$62$	−3.65891	−	1.76204i	−0.464682	−	0.223779i
$63$	9.38017	−	4.51725i	1.18179	−	0.569120i
$64$	−1.40389	−	6.15086i	−0.175487	−	0.768857i
$65$	5.32347	+	23.3237i	0.660295	+	2.89294i
$66$	1.04432	−	0.502919i	0.128547	−	0.0619050i
$67$	−7.31160	−	3.52108i	−0.893254	−	0.430168i	−0.0698060	−	0.997561i	$-0.522238\pi$
$67$	−7.31160	−	3.52108i	−0.893254	−	0.430168i	−0.823448	+	0.567392i	$0.807952\pi$
$68$	−0.242643	−	1.06309i	−0.0294247	−	0.128918i
$69$	0.478824	+	0.600426i	0.0576436	+	0.0722828i
$70$	9.54238	+	11.9658i	1.14053	+	1.43018i
$71$	0.588643	+	0.283476i	0.0698591	+	0.0336424i	0.468487	−	0.883470i	$-0.344799\pi$
$71$	0.588643	+	0.283476i	0.0698591	+	0.0336424i	−0.398628	+	0.917113i	$0.630514\pi$
$72$	−1.66187	+	7.28111i	−0.195853	+	0.858087i
$73$	−6.23168	+	7.81428i	−0.729363	+	0.914592i	−0.998827	−	0.0484184i	$-0.984582\pi$
$73$	−6.23168	+	7.81428i	−0.729363	+	0.914592i	0.269464	+	0.963010i	$0.413153\pi$
$74$	2.15424	−	9.43834i	0.250425	−	1.09719i
$75$	−6.30750	+	3.03753i	−0.728327	+	0.350744i
$76$	−2.88127	−	3.61300i	−0.330505	−	0.414440i
$77$	6.58998	−	3.17357i	0.750998	−	0.361661i
$78$	−2.48669	+	3.11821i	−0.281562	+	0.353068i
$79$	9.56705			1.07638			0.538189	−	0.842824i	$-0.319109\pi$
$79$	9.56705			1.07638			0.538189	+	0.842824i	$0.319109\pi$
$80$	−2.46103			−0.275152
$81$	3.13133	−	3.92656i	0.347925	−	0.436285i
$82$	−7.74521	−	3.72990i	−0.855316	−	0.411898i
$83$	−0.886795	−	3.88530i	−0.0973384	−	0.426467i	0.902654	−	0.430367i	$-0.141616\pi$
$83$	−0.886795	−	3.88530i	−0.0973384	−	0.426467i	−0.999992	+	0.00389964i	$0.998759\pi$
$84$	0.680652	−	2.98213i	0.0742652	−	0.325377i
$85$	−3.90566			−0.423629
$86$	0.512444	−	6.23290i	0.0552582	−	0.672111i
$87$	−2.53161			−0.271418
$88$	−1.16753	+	5.11530i	−0.124459	+	0.545292i
$89$	−0.926657	−	4.05995i	−0.0982255	−	0.430354i	0.901773	−	0.432210i	$-0.142266\pi$
$89$	−0.926657	−	4.05995i	−0.0982255	−	0.430354i	−0.999998	+	0.00185641i	$0.999409\pi$
$90$	8.50377	+	4.09520i	0.896376	+	0.431672i
$91$	−15.6918	+	19.6768i	−1.64494	+	2.06269i
$92$	−1.22659			−0.127881
$93$	2.90715			0.301458
$94$	−7.59804	+	9.52764i	−0.783678	+	0.982701i
$95$	−14.9130	+	7.18170i	−1.53004	+	0.736827i
$96$	2.25343	+	2.82571i	0.229989	+	0.288398i
$97$	13.4403	−	6.47249i	1.36465	−	0.657182i	0.398983	−	0.916958i	$-0.369363\pi$
$97$	13.4403	−	6.47249i	1.36465	−	0.657182i	0.965669	+	0.259776i	$0.0836488\pi$
$98$	−2.09720	+	9.18842i	−0.211849	+	0.928171i
$99$	2.81240	−	3.52664i	0.282657	−	0.354441i
$100$	2.48811	−	10.9011i	0.248811	−	1.09011i
$101$	16.7927	+	8.08693i	1.67093	+	0.804679i	0.997880	+	0.0650865i	$0.0207323\pi$
$101$	16.7927	+	8.08693i	1.67093	+	0.804679i	0.673054	+	0.739593i	$0.264982\pi$
$102$	−0.405969	−	0.509069i	−0.0401969	−	0.0504054i
$103$	−0.0158319	−	0.0198525i	−0.00155996	−	0.00195613i	0.781051	−	0.624467i	$-0.214684\pi$
$103$	−0.0158319	−	0.0198525i	−0.00155996	−	0.00195613i	−0.782611	+	0.622511i	$0.786112\pi$
$104$	−4.01733	−	17.6011i	−0.393931	−	1.72593i
$105$	−9.87104	−	4.75364i	−0.963314	−	0.463908i
$106$	−2.50591	+	1.20678i	−0.243395	+	0.117213i
$107$	1.18029	+	5.17119i	0.114103	+	0.499918i	0.999392	+	0.0348758i	$0.0111036\pi$
$107$	1.18029	+	5.17119i	0.114103	+	0.499918i	−0.885289	+	0.465042i	$0.846039\pi$
$108$	−0.916732	−	4.01646i	−0.0882125	−	0.386484i
$109$	10.5402	−	5.07588i	1.00956	−	0.486181i	0.145391	−	0.989374i	$-0.453556\pi$
$109$	10.5402	−	5.07588i	1.00956	−	0.486181i	0.864174	+	0.503194i	$0.167842\pi$
$110$	5.97427	+	2.87706i	0.569624	+	0.274316i
$111$	1.54213	+	6.75649i	0.146372	+	0.641298i
$112$	−1.61423	−	2.02418i	−0.152530	−	0.191267i
$113$	−4.13664	−	5.18719i	−0.389143	−	0.487969i	0.548215	−	0.836337i	$-0.315307\pi$
$113$	−4.13664	−	5.18719i	−0.389143	−	0.487969i	−0.937358	+	0.348368i	$0.886736\pi$
$114$	−2.48618	−	1.19728i	−0.232852	−	0.112136i
$115$	−0.977615	+	4.28321i	−0.0911631	+	0.399411i
$116$	2.52103	−	3.16128i	0.234072	−	0.293517i
$117$	−3.45372	+	15.1318i	−0.319297	+	1.39893i
$118$	8.42673	−	4.05810i	0.775743	−	0.373578i
$119$	−2.56178	−	3.21238i	−0.234838	−	0.294478i
$120$	7.08087	−	3.40997i	0.646392	−	0.311286i
$121$	−4.88255	+	6.12253i	−0.443868	+	0.556593i
$122$	−4.11399			−0.372463
$123$	6.15388			0.554877
$124$	−2.89500	+	3.63022i	−0.259979	+	0.326003i
$125$	−18.4890	−	8.90382i	−1.65370	−	0.796382i
$126$	2.20948	+	9.68038i	0.196836	+	0.862397i
$127$	1.74962	−	7.66559i	0.155254	−	0.680211i	−0.836054	−	0.548647i	$-0.815143\pi$
$127$	1.74962	−	7.66559i	0.155254	−	0.680211i	0.991308	−	0.131564i	$-0.0419998\pi$
$128$	−4.57062			−0.403989
$129$	1.60542	+	4.17916i	0.141349	+	0.367955i
$130$	−22.8162			−2.00111
$131$	2.68487	−	11.7632i	0.234578	−	1.02775i	−0.711213	−	0.702977i	$-0.751854\pi$
$131$	2.68487	−	11.7632i	0.234578	−	1.02775i	0.945791	−	0.324777i	$-0.105289\pi$
$132$	−0.294899	−	1.29204i	−0.0256676	−	0.112457i
$133$	−15.6885	−	7.55519i	−1.36037	−	0.655118i
$134$	4.82559	−	6.05110i	0.416868	−	0.522736i
$135$	−14.7560			−1.27000
$136$	2.94739			0.252736
$137$	−6.99324	+	8.76925i	−0.597473	+	0.749207i	−0.984982	−	0.172659i	$-0.944764\pi$
$137$	−6.99324	+	8.76925i	−0.597473	+	0.749207i	0.387509	+	0.921866i	$0.373336\pi$
$138$	−0.659896	+	0.317789i	−0.0561741	+	0.0270520i
$139$	−1.74877	−	2.19288i	−0.148328	−	0.185998i	0.702116	−	0.712062i	$-0.252239\pi$
$139$	−1.74877	−	2.19288i	−0.148328	−	0.185998i	−0.850445	+	0.526064i	$0.823667\pi$
$140$	15.7657	−	7.59238i	1.33245	−	0.641673i
$141$	1.94119	−	8.50492i	0.163478	−	0.716243i
$142$	−0.388500	+	0.487163i	−0.0326022	+	0.0408818i
$143$	−2.42639	+	10.6307i	−0.202905	+	0.888985i
$144$	−1.43853	−	0.692760i	−0.119878	−	0.0577300i
$145$	−9.02978	−	11.3230i	−0.749882	−	0.940323i
$146$	−5.94325	−	7.45260i	−0.491867	−	0.616782i
$147$	−1.50129	−	6.57759i	−0.123824	−	0.542510i
$148$	−9.97265	−	4.80257i	−0.819746	−	0.394769i
$149$	−13.1390	+	6.32740i	−1.07639	+	0.518361i	−0.886160	−	0.463380i	$-0.846637\pi$
$149$	−13.1390	+	6.32740i	−1.07639	+	0.518361i	−0.190227	+	0.981740i	$0.560922\pi$
$150$	−1.48572	−	6.50936i	−0.121309	−	0.531487i
$151$	−3.42053	−	14.9863i	−0.278359	−	1.21957i	−0.899868	−	0.436163i	$-0.856337\pi$
$151$	−3.42053	−	14.9863i	−0.278359	−	1.21957i	0.621508	−	0.783407i	$-0.286520\pi$
$152$	11.2540	−	5.41963i	0.912818	−	0.439590i
$153$	−2.28296	−	1.09941i	−0.184566	−	0.0888823i
$154$	1.55226	+	6.80089i	0.125085	+	0.548031i
$155$	10.3693	+	13.0026i	0.832879	+	1.04440i
$156$	2.84315	+	3.56519i	0.227634	+	0.285444i
$157$	5.04153	+	2.42787i	0.402358	+	0.193765i	0.624108	−	0.781338i	$-0.285463\pi$
$157$	5.04153	+	2.42787i	0.402358	+	0.193765i	−0.221750	+	0.975104i	$0.571177\pi$
$158$	−2.03034	+	8.89548i	−0.161525	+	0.707687i
$159$	1.24139	−	1.55666i	0.0984490	−	0.123451i
$160$	−4.60082	+	20.1575i	−0.363727	+	1.59359i
$161$	−4.16414	+	2.00534i	−0.328180	+	0.158043i
$162$	2.98640	+	3.74482i	0.234634	+	0.294221i
$163$	−9.21477	+	4.43760i	−0.721757	+	0.347580i	−0.758436	−	0.651747i	$-0.774036\pi$
$163$	−9.21477	+	4.43760i	−0.721757	+	0.347580i	0.0366793	+	0.999327i	$0.488322\pi$
$164$	−6.12816	+	7.68447i	−0.478529	+	0.600057i
$165$	−4.74679			−0.369537
$166$	3.80077			0.294997
$167$	9.36391	−	11.7420i	0.724601	−	0.908621i	−0.273987	−	0.961733i	$-0.588343\pi$
$167$	9.36391	−	11.7420i	0.724601	−	0.908621i	0.998589	+	0.0531119i	$0.0169140\pi$
$168$	7.44912	+	3.58731i	0.574712	+	0.276767i
$169$	−5.45612	−	23.9048i	−0.419702	−	1.83883i
$170$	0.828867	−	3.63150i	0.0635712	−	0.278524i
$171$	−10.7386			−0.821199
$172$	−6.81731	−	2.15697i	−0.519815	−	0.164468i
$173$	10.6678			0.811059			0.405529	−	0.914082i	$-0.367087\pi$
$173$	10.6678			0.811059			0.405529	+	0.914082i	$0.367087\pi$
$174$	0.537263	−	2.35391i	0.0407298	−	0.178449i
$175$	−9.37533	−	41.0760i	−0.708709	−	3.10506i
$176$	−1.01063	−	0.486694i	−0.0761792	−	0.0366860i
$177$	−4.17450	+	5.23465i	−0.313774	+	0.393461i
$178$	3.97162			0.297685
$179$	−3.30291			−0.246871			−0.123436	−	0.992353i	$-0.539391\pi$
$179$	−3.30291			−0.246871			−0.123436	+	0.992353i	$0.539391\pi$
$180$	6.72834	−	8.43708i	0.501501	−	0.628863i
$181$	1.86999	−	0.900542i	0.138996	−	0.0669368i	−0.363093	−	0.931753i	$-0.618279\pi$
$181$	1.86999	−	0.900542i	0.138996	−	0.0669368i	0.502089	+	0.864816i	$0.332565\pi$
$182$	−14.9655	−	18.7661i	−1.10932	−	1.39104i
$183$	2.65337	−	1.27780i	0.196143	−	0.0944575i
$184$	0.737752	−	3.23230i	0.0543878	−	0.238288i
$185$	−24.7189	+	30.9965i	−1.81737	+	2.27891i
$186$	−0.616961	+	2.70308i	−0.0452378	+	0.198200i
$187$	−1.60388	−	0.772386i	−0.117287	−	0.0564824i
$188$	8.68718	+	10.8934i	0.633578	+	0.794481i
$189$	−9.67872	−	12.1367i	−0.704023	−	0.882817i
$190$	−3.51272	−	15.3902i	−0.254840	−	1.11653i
$191$	14.7654	+	7.11062i	1.06838	+	0.514506i	0.883585	−	0.468270i	$-0.155123\pi$
$191$	14.7654	+	7.11062i	1.06838	+	0.514506i	0.184798	+	0.982777i	$0.440837\pi$
$192$	−3.88077	+	1.86888i	−0.280070	+	0.134875i
$193$	2.25079	+	9.86133i	0.162015	+	0.709834i	0.989037	+	0.147665i	$0.0471758\pi$
$193$	2.25079	+	9.86133i	0.162015	+	0.709834i	−0.827022	+	0.562169i	$0.809967\pi$
$194$	3.16583	+	13.8704i	0.227294	+	0.995838i
$195$	14.7156	−	7.08667i	1.05381	−	0.507487i
$196$	9.70858	+	4.67540i	0.693470	+	0.333957i
$197$	0.378657	+	1.65900i	0.0269782	+	0.118199i	0.986624	−	0.163012i	$-0.0521210\pi$
$197$	0.378657	+	1.65900i	0.0269782	+	0.118199i	−0.959646	+	0.281211i	$0.909264\pi$
$198$	2.68223	+	3.36342i	0.190618	+	0.239028i
$199$	−10.0838	−	12.6447i	−0.714822	−	0.896359i	0.283210	−	0.959058i	$-0.408601\pi$
$199$	−10.0838	−	12.6447i	−0.714822	−	0.896359i	−0.998032	+	0.0626989i	$0.980029\pi$
$200$	27.2301	+	13.1133i	1.92546	+	0.927253i
$201$	−1.23287	+	5.40156i	−0.0869601	+	0.380997i
$202$	−11.0830	+	13.8977i	−0.779799	+	0.977837i
$203$	3.39029	−	14.8538i	0.237952	−	1.04254i
$204$	−0.670735	+	0.323009i	−0.0469608	+	0.0226151i
$205$	21.9497	+	27.5241i	1.53303	+	1.92236i
$206$	0.0218188	−	0.0105074i	0.00152019	−	0.000732085i
$207$	−1.77713	+	2.22845i	−0.123519	+	0.154888i
$208$	3.85968			0.267621
$209$	−7.54431			−0.521851
$210$	6.51480	−	8.16930i	0.449564	−	0.563735i
$211$	−1.30180	−	0.626912i	−0.0896193	−	0.0431584i	0.388537	−	0.921433i	$-0.372981\pi$
$211$	−1.30180	−	0.626912i	−0.0896193	−	0.0431584i	−0.478156	+	0.878275i	$0.658695\pi$
$212$	0.707625	+	3.10031i	0.0485999	+	0.212930i
$213$	0.0992563	−	0.434870i	0.00680093	−	0.0297968i
$214$	−5.05867			−0.345804
$215$	−12.9656	+	22.0867i	−0.884249	+	1.50630i
$216$	11.1356			0.757680
$217$	−3.89321	+	17.0573i	−0.264288	+	1.15792i
$218$	2.48272	+	10.8775i	0.168151	+	0.736717i
$219$	6.14795	+	2.96070i	0.415440	+	0.200065i
$220$	4.72696	−	5.92741i	0.318691	−	0.399626i
$221$	6.12532			0.412034
$222$	−6.60949			−0.443600
$223$	−4.90109	+	6.14578i	−0.328202	+	0.411552i	−0.918366	−	0.395731i	$-0.870491\pi$
$223$	−4.90109	+	6.14578i	−0.328202	+	0.411552i	0.590165	+	0.807283i	$0.299063\pi$
$224$	−19.5971	+	9.43748i	−1.30939	+	0.630568i
$225$	−16.2002	−	20.3144i	−1.08001	−	1.35429i
$226$	5.70095	−	2.74543i	0.379222	−	0.182624i
$227$	−1.50120	+	6.57718i	−0.0996380	+	0.436542i	0.900361	+	0.435144i	$0.143302\pi$
$227$	−1.50120	+	6.57718i	−0.0996380	+	0.436542i	−0.999999	+	0.00139883i	$0.999555\pi$
$228$	−1.96711	+	2.46668i	−0.130275	+	0.163360i
$229$	−4.40893	+	19.3168i	−0.291350	+	1.27649i	0.591298	+	0.806453i	$0.298616\pi$
$229$	−4.40893	+	19.3168i	−0.291350	+	1.27649i	−0.882648	+	0.470035i	$0.844241\pi$
$230$	−3.77508	−	1.81798i	−0.248921	−	0.119874i
$231$	−3.11349	−	3.90420i	−0.204853	−	0.256877i
$232$	6.81427	+	8.54483i	0.447379	+	0.560995i
$233$	0.764043	+	3.34749i	0.0500541	+	0.219301i	0.993769	−	0.111458i	$-0.0355522\pi$
$233$	0.764043	+	3.34749i	0.0500541	+	0.219301i	−0.943715	+	0.330760i	$0.892695\pi$
$234$	−13.3366	−	6.42257i	−0.871841	−	0.419857i
$235$	44.9633	−	21.6532i	2.93308	−	1.41250i
$236$	−2.37956	−	10.4256i	−0.154896	−	0.678646i
$237$	−1.45343	−	6.36788i	−0.0944103	−	0.413639i
$238$	3.53055	−	1.70022i	0.228851	−	0.110209i
$239$	−26.2191	−	12.6265i	−1.69597	−	0.816738i	−0.994581	−	0.103965i	$-0.966847\pi$
$239$	−26.2191	−	12.6265i	−1.69597	−	0.816738i	−0.701394	−	0.712774i	$-0.747439\pi$
$240$	0.373880	+	1.63808i	0.0241339	+	0.105737i
$241$	2.90443	+	3.64204i	0.187091	+	0.234604i	0.866527	−	0.499130i	$-0.166347\pi$
$241$	2.90443	+	3.64204i	0.187091	+	0.234604i	−0.679436	+	0.733735i	$0.737776\pi$
$242$	−4.65657	−	5.83915i	−0.299335	−	0.375355i
$243$	−13.3011	−	6.40549i	−0.853269	−	0.410913i
$244$	−1.04667	+	4.58578i	−0.0670064	+	0.293574i
$245$	24.0643	−	30.1757i	1.53741	−	1.92786i
$246$	−1.30599	+	5.72191i	−0.0832667	+	0.364815i
$247$	23.3883	−	11.2632i	1.48816	−	0.716660i
$248$	−7.82510	−	9.81237i	−0.496894	−	0.623086i
$249$	−2.45136	+	1.18051i	−0.155348	+	0.0748119i
$250$	12.2026	−	15.3015i	0.771758	−	0.967754i
$251$	−17.0334			−1.07514			−0.537571	−	0.843219i	$-0.680658\pi$
$251$	−17.0334			−1.07514			−0.537571	+	0.843219i	$0.680658\pi$
$252$	11.3526			0.715150
$253$	−1.24851	+	1.56558i	−0.0784932	+	0.0984273i
$254$	6.75619	+	3.25361i	0.423921	+	0.204150i
$255$	0.593349	+	2.59963i	0.0371570	+	0.162795i
$256$	3.77777	−	16.5515i	0.236111	−	1.03447i
$257$	0.246358			0.0153674			0.00768368	−	0.999970i	$-0.497554\pi$
$257$	0.246358			0.0153674			0.00768368	+	0.999970i	$0.497554\pi$
$258$	−4.22651	+	0.605818i	−0.263131	+	0.0377166i
$259$	−41.7078			−2.59160
$260$	−5.80485	+	25.4327i	−0.360002	+	1.57727i
$261$	−2.09079	−	9.16037i	−0.129417	−	0.567013i
$262$	10.3677	+	4.99280i	0.640516	+	0.308456i
$263$	13.3499	−	16.7403i	0.823193	−	1.03225i	−0.175664	−	0.984450i	$-0.556207\pi$
$263$	13.3499	−	16.7403i	0.823193	−	1.03225i	0.998857	−	0.0478007i	$-0.0152212\pi$
$264$	3.58214			0.220466
$265$	11.3902			0.699694
$266$	10.3543	−	12.9839i	0.634863	−	0.796092i
$267$	−2.56155	+	1.23358i	−0.156764	+	0.0754937i
$268$	−5.51732	−	6.91850i	−0.337024	−	0.422615i
$269$	2.26672	−	1.09159i	0.138204	−	0.0665557i	−0.363504	−	0.931593i	$-0.618420\pi$
$269$	2.26672	−	1.09159i	0.138204	−	0.0665557i	0.501708	+	0.865037i	$0.332705\pi$
$270$	3.13155	−	13.7202i	0.190580	−	0.834987i
$271$	−7.39661	+	9.27506i	−0.449312	+	0.563420i	−0.953971	−	0.299899i	$-0.903047\pi$
$271$	−7.39661	+	9.27506i	−0.449312	+	0.563420i	0.504659	+	0.863319i	$0.331618\pi$
$272$	−0.140214	+	0.614320i	−0.00850175	+	0.0372486i
$273$	15.4809	+	7.45522i	0.936948	+	0.451210i
$274$	−6.66956	−	8.36337i	−0.402923	−	0.505250i
$275$	−11.3813	−	14.2717i	−0.686320	−	0.860618i
$276$	0.186343	+	0.816423i	0.0112165	+	0.0491429i
$277$	−11.1280	−	5.35895i	−0.668616	−	0.321988i	0.0686016	−	0.997644i	$-0.478146\pi$
$277$	−11.1280	−	5.35895i	−0.668616	−	0.321988i	−0.737217	+	0.675656i	$0.763861\pi$
$278$	2.41008	−	1.16063i	0.144547	−	0.0696101i
$279$	2.40094	+	10.5192i	0.143741	+	0.629769i
$280$	10.5249	+	46.1124i	0.628981	+	2.75575i
$281$	20.0002	−	9.63161i	1.19311	−	0.574574i	0.271409	−	0.962464i	$-0.412510\pi$
$281$	20.0002	−	9.63161i	1.19311	−	0.574574i	0.921705	+	0.387891i	$0.126796\pi$
$282$	7.49595	+	3.60986i	0.446377	+	0.214964i
$283$	4.97283	+	21.7874i	0.295604	+	1.29513i	0.876600	+	0.481220i	$0.159806\pi$
$283$	4.97283	+	21.7874i	0.295604	+	1.29513i	−0.580996	+	0.813906i	$0.697337\pi$
$284$	0.444189	+	0.556996i	0.0263578	+	0.0330516i
$285$	7.04576	+	8.83510i	0.417355	+	0.523346i
$286$	−9.36955	−	4.51214i	−0.554033	−	0.266808i
$287$	−8.24117	+	36.1069i	−0.486461	+	2.13132i
$288$	−8.36347	+	10.4875i	−0.492822	+	0.617979i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	12.4445	−	5.99294i	0.730765	−	0.351918i
$291$	−6.34998	−	7.96262i	−0.372242	−	0.466777i
$292$	−9.81933	+	4.72874i	−0.574633	+	0.276729i
$293$	−8.18274	+	10.2608i	−0.478041	+	0.599444i	−0.961119	−	0.276133i	$-0.910947\pi$
$293$	−8.18274	+	10.2608i	−0.478041	+	0.599444i	0.483079	+	0.875577i	$0.339518\pi$
$294$	6.43447			0.375266
$295$	−38.3023			−2.23005
$296$	18.6540	−	23.3913i	1.08424	−	1.35959i
$297$	−6.05962	−	2.91816i	−0.351615	−	0.169329i
$298$	−3.09486	−	13.5595i	−0.179281	−	0.785480i
$299$	1.53321	−	6.71744i	0.0886679	−	0.388479i
$300$	−7.63385			−0.440740
$301$	−26.6705	+	3.82289i	−1.53726	+	0.220348i
$302$	14.6603			0.843604
$303$	2.83156	−	12.4059i	0.162669	−	0.712699i
$304$	0.594226	+	2.60347i	0.0340812	+	0.149320i
$305$	15.1792	+	7.30992i	0.869158	+	0.418565i
$306$	1.50673	−	1.88938i	0.0861341	−	0.108009i
$307$	16.2935			0.929920			0.464960	−	0.885332i	$-0.346069\pi$
$307$	16.2935			0.929920			0.464960	+	0.885332i	$0.346069\pi$
$308$	7.97573			0.454459
$309$	−0.0108088	+	0.0135538i	−0.000614890	+	0.000771048i
$310$	−14.2905	+	6.88193i	−0.811645	+	0.390868i
$311$	8.14633	+	10.2152i	0.461936	+	0.579250i	0.957176	−	0.289507i	$-0.0934912\pi$
$311$	8.14633	+	10.2152i	0.461936	+	0.579250i	−0.495240	+	0.868756i	$0.664920\pi$
$312$	−11.1051	+	5.34791i	−0.628700	+	0.302766i
$313$	3.55746	−	15.5862i	0.201079	−	0.880986i	−0.769202	−	0.639006i	$-0.779346\pi$
$313$	3.55746	−	15.5862i	0.201079	−	0.880986i	0.970281	−	0.241980i	$-0.0777969\pi$
$314$	−3.32737	+	4.17239i	−0.187774	+	0.235461i
$315$	9.04830	−	39.6432i	0.509814	−	2.23364i
$316$	9.39905	+	4.52635i	0.528738	+	0.254627i
$317$	8.20137	+	10.2842i	0.460635	+	0.577618i	0.956850	−	0.290582i	$-0.0938488\pi$
$317$	8.20137	+	10.2842i	0.460635	+	0.577618i	−0.496216	+	0.868199i	$0.665277\pi$
$318$	1.18394	+	1.48461i	0.0663919	+	0.0832528i
$319$	−1.46887	−	6.43556i	−0.0822412	−	0.360322i
$320$	−22.2008	−	10.6913i	−1.24106	−	0.597663i
$321$	3.26266	−	1.57122i	0.182104	−	0.0876967i
$322$	−0.980856	−	4.29741i	−0.0546609	−	0.239485i
$323$	0.943039	+	4.13172i	0.0524721	+	0.229895i
$324$	4.93407	−	2.37612i	0.274115	−	0.132007i
$325$	56.5902	+	27.2524i	3.13906	+	1.51169i
$326$	−2.17052	−	9.50969i	−0.120214	−	0.526693i
$327$	−4.97980	−	6.24447i	−0.275383	−	0.345320i
$328$	−16.5642	−	20.7709i	−0.914607	−	1.14688i
$329$	47.3016	+	22.7793i	2.60782	+	1.25586i
$330$	1.00737	−	4.41359i	0.0554541	−	0.242960i
$331$	7.65530	−	9.59945i	0.420774	−	0.527633i	−0.525590	−	0.850738i	$-0.676155\pi$
$331$	7.65530	−	9.59945i	0.420774	−	0.527633i	0.946363	+	0.323105i	$0.104727\pi$
$332$	0.966984	−	4.23664i	0.0530702	−	0.232516i
$333$	−23.1740	+	11.1600i	−1.26993	+	0.611566i
$334$	8.93051	+	11.1985i	0.488656	+	0.612755i
$335$	−28.5566	+	13.7522i	−1.56022	+	0.751360i
$336$	−1.10207	+	1.38195i	−0.0601229	+	0.0753917i
$337$	−3.76821			−0.205267			−0.102634	−	0.994719i	$-0.532727\pi$
$337$	−3.76821			−0.205267			−0.102634	+	0.994719i	$0.532727\pi$
$338$	23.3847			1.27196
$339$	−2.82418	+	3.54141i	−0.153388	+	0.192343i
$340$	−3.83708	−	1.84784i	−0.208095	−	0.100213i
$341$	1.68677	+	7.39021i	0.0913435	+	0.400202i
$342$	2.27896	−	9.98477i	0.123232	−	0.539914i
$343$	11.8420			0.639405
$344$	9.78445	−	16.6676i	0.527542	−	0.898658i
$345$	2.99945			0.161485
$346$	−2.26394	+	9.91898i	−0.121710	+	0.533247i
$347$	−2.41854	−	10.5963i	−0.129834	−	0.568841i	−0.997435	−	0.0715792i	$-0.977196\pi$
$347$	−2.41854	−	10.5963i	−0.129834	−	0.568841i	0.867601	−	0.497261i	$-0.165661\pi$
$348$	−2.48716	−	1.19775i	−0.133326	−	0.0642063i
$349$	−16.8049	+	21.0727i	−0.899548	+	1.12800i	0.0916738	+	0.995789i	$0.470778\pi$
$349$	−16.8049	+	21.0727i	−0.899548	+	1.12800i	−0.991222	+	0.132209i	$0.957793\pi$
$350$	40.1823			2.14783
$351$	23.1422			1.23524
$352$	−5.87570	+	7.36789i	−0.313176	+	0.392710i
$353$	20.0014	−	9.63219i	1.06457	−	0.512670i	0.182217	−	0.983258i	$-0.441673\pi$
$353$	20.0014	−	9.63219i	1.06457	−	0.512670i	0.882353	+	0.470589i	$0.155958\pi$
$354$	−3.98128	−	4.99237i	−0.211603	−	0.265342i
$355$	2.29904	−	1.10716i	0.122021	−	0.0587620i
$356$	1.01045	−	4.42708i	0.0535538	−	0.234635i
$357$	−1.74899	+	2.19316i	−0.0925664	+	0.116075i
$358$	0.700950	−	3.07106i	0.0370464	−	0.162311i
$359$	7.36174	+	3.54523i	0.388538	+	0.187110i	0.617946	−	0.786220i	$-0.287965\pi$
$359$	7.36174	+	3.54523i	0.388538	+	0.187110i	−0.229409	+	0.973330i	$0.573679\pi$
$360$	18.1865	+	22.8052i	0.958513	+	1.20194i
$361$	−0.648134	−	0.812735i	−0.0341123	−	0.0427755i
$362$	0.440474	+	1.92984i	0.0231508	+	0.101430i
$363$	4.81695	+	2.31972i	0.252824	+	0.121754i
$364$	−24.7257	+	11.9073i	−1.29598	+	0.624110i
$365$	8.68643	+	38.0578i	0.454669	+	1.99203i
$366$	0.624998	+	2.73829i	0.0326692	+	0.143133i
$367$	−10.9112	+	5.25455i	−0.569559	+	0.274285i	−0.696419	−	0.717635i	$-0.745224\pi$
$367$	−10.9112	+	5.25455i	−0.569559	+	0.274285i	0.126860	+	0.991921i	$0.459510\pi$
$368$	0.638607	+	0.307537i	0.0332897	+	0.0160315i
$369$	5.08233	+	22.2672i	0.264576	+	1.15918i
$370$	−23.5748	−	29.5618i	−1.22559	−	1.53685i
$371$	7.47100	+	9.36833i	0.387875	+	0.486380i
$372$	2.85610	+	1.37543i	0.148082	+	0.0713126i
$373$	−5.22670	+	22.8997i	−0.270628	+	1.18570i	0.638646	+	0.769501i	$0.279495\pi$
$373$	−5.22670	+	22.8997i	−0.270628	+	1.18570i	−0.909274	+	0.416199i	$0.863362\pi$
$374$	1.05854	−	1.32737i	0.0547360	−	0.0686368i
$375$	−3.11759	+	13.6590i	−0.160991	+	0.705350i
$376$	−33.9313	+	16.3404i	−1.74987	+	0.842694i
$377$	14.1616	+	17.7580i	0.729358	+	0.914586i
$378$	13.3388	−	6.42363i	0.686074	−	0.330396i
$379$	12.7445	−	15.9812i	0.654643	−	0.820897i	−0.338105	−	0.941108i	$-0.609786\pi$
$379$	12.7445	−	15.9812i	0.654643	−	0.820897i	0.992748	+	0.120212i	$0.0383573\pi$
$380$	−18.0489			−0.925888
$381$	−5.36806			−0.275014
$382$	−9.74501	+	12.2199i	−0.498598	+	0.625222i
$383$	12.9106	+	6.21742i	0.659701	+	0.317695i	0.733611	−	0.679570i	$-0.237834\pi$
$383$	12.9106	+	6.21742i	0.659701	+	0.317695i	−0.0739102	+	0.997265i	$0.523548\pi$
$384$	0.694369	+	3.04223i	0.0354344	+	0.155248i
$385$	6.35682	−	27.8511i	0.323974	−	1.41942i
$386$	−9.64677			−0.491008
$387$	−13.7960	+	9.26050i	−0.701288	+	0.470738i
$388$	16.2665			0.825807
$389$	8.04350	−	35.2409i	0.407822	−	1.78678i	−0.186390	−	0.982476i	$-0.559679\pi$
$389$	8.04350	−	35.2409i	0.407822	−	1.78678i	0.594212	−	0.804308i	$-0.297464\pi$
$390$	3.46624	+	15.1866i	0.175520	+	0.769003i
$391$	1.01347	+	0.488062i	0.0512535	+	0.0246824i
$392$	−18.1600	+	22.7719i	−0.917219	+	1.15016i
$393$	−8.23752			−0.415528
$394$	−1.62291			−0.0817609
$395$	23.2971	−	29.2137i	1.17221	−	1.46990i
$396$	4.43154	−	2.13412i	0.222693	−	0.107243i
$397$	5.76284	+	7.22638i	0.289229	+	0.362681i	0.905125	−	0.425146i	$-0.139777\pi$
$397$	5.76284	+	7.22638i	0.289229	+	0.362681i	−0.615896	+	0.787828i	$0.711206\pi$
$398$	13.8971	−	6.69249i	0.696599	−	0.335464i
$399$	−2.64538	+	11.5902i	−0.132435	+	0.580234i
$400$	−4.02860	+	5.05170i	−0.201430	+	0.252585i
$401$	2.55728	−	11.2042i	0.127704	−	0.559509i	−0.870076	−	0.492917i	$-0.835930\pi$
$401$	2.55728	−	11.2042i	0.127704	−	0.559509i	0.997780	−	0.0665914i	$-0.0212124\pi$
$402$	−4.76075	−	2.29266i	−0.237445	−	0.114347i
$403$	−16.2623	−	20.3923i	−0.810082	−	1.01581i
$404$	12.6717	+	15.8898i	0.630442	+	0.790549i
$405$	−4.36481	−	19.1235i	−0.216889	−	0.950253i
$406$	13.0917	+	6.30461i	0.649728	+	0.312893i
$407$	−16.2808	+	7.84041i	−0.807008	+	0.388634i
$408$	−0.447768	−	1.96180i	−0.0221678	−	0.0971235i
$409$	2.11758	+	9.27772i	0.104708	+	0.458754i	0.999914	+	0.0131024i	$0.00417075\pi$
$409$	2.11758	+	9.27772i	0.104708	+	0.458754i	−0.895207	+	0.445651i	$0.852972\pi$
$410$	−30.2502	+	14.5677i	−1.49395	+	0.719449i
$411$	6.89928	+	3.32252i	0.340316	+	0.163888i
$412$	−0.00616127	−	0.0269943i	−0.000303544	−	0.00132991i
$413$	−25.1231	−	31.5033i	−1.23623	−	1.55018i
$414$	−1.69488	−	2.12531i	−0.0832986	−	0.104453i
$415$	−14.0235	−	6.75337i	−0.688388	−	0.331510i
$416$	7.21555	−	31.6134i	0.353771	−	1.54997i
$417$	−1.19392	+	1.49713i	−0.0584667	+	0.0733149i
$418$	1.60107	−	7.01473i	0.0783108	−	0.343102i
$419$	−0.368454	+	0.177438i	−0.0180002	+	0.00866842i	−0.442862	−	0.896590i	$-0.646037\pi$
$419$	−0.368454	+	0.177438i	−0.0180002	+	0.00866842i	0.424862	+	0.905258i	$0.360323\pi$
$420$	−7.44867	−	9.34033i	−0.363458	−	0.455762i
$421$	17.3807	−	8.37009i	0.847082	−	0.407933i	0.0405885	−	0.999176i	$-0.487077\pi$
$421$	17.3807	−	8.37009i	0.847082	−	0.407933i	0.806494	+	0.591243i	$0.201362\pi$
$422$	0.859174	−	1.07737i	0.0418240	−	0.0524456i
$423$	32.3773			1.57424
$424$	−8.59554			−0.417436
$425$	−6.39340	+	8.01707i	−0.310125	+	0.388885i
$426$	0.383280	+	0.184578i	0.0185700	+	0.00894282i
$427$	3.94392	+	17.2794i	0.190860	+	0.836211i
$428$	−1.28702	+	5.63880i	−0.0622104	+	0.272562i
$429$	7.44448			0.359423
$430$	−17.7847	−	16.7428i	−0.857656	−	0.807409i
$431$	−3.42950			−0.165193			−0.0825966	−	0.996583i	$-0.526321\pi$
$431$	−3.42950			−0.165193			−0.0825966	+	0.996583i	$0.526321\pi$
$432$	−0.529746	+	2.32097i	−0.0254874	+	0.111668i
$433$	6.94207	+	30.4152i	0.333614	+	1.46166i	0.812076	+	0.583552i	$0.198337\pi$
$433$	6.94207	+	30.4152i	0.333614	+	1.46166i	−0.478462	+	0.878108i	$0.658805\pi$
$434$	−15.0337	−	7.23984i	−0.721640	−	0.347523i
$435$	−6.16484	+	7.73046i	−0.295581	+	0.370647i
$436$	12.7566			0.610929
$437$	4.76717			0.228045
$438$	−4.05759	+	5.08806i	−0.193879	+	0.243117i
$439$	−21.8701	+	10.5321i	−1.04380	+	0.502668i	−0.875576	−	0.483081i	$-0.839518\pi$
$439$	−21.8701	+	10.5321i	−1.04380	+	0.502668i	−0.168225	+	0.985749i	$0.553804\pi$
$440$	12.7768	+	16.0216i	0.609111	+	0.763801i
$441$	22.5604	−	10.8645i	1.07431	−	0.517358i
$442$	−1.29993	+	5.69535i	−0.0618312	+	0.270900i
$443$	17.1268	−	21.4763i	0.813719	−	1.02037i	−0.185568	−	0.982631i	$-0.559413\pi$
$443$	17.1268	−	21.4763i	0.813719	−	1.02037i	0.999288	−	0.0377404i	$-0.0120160\pi$
$444$	−1.68157	+	7.36746i	−0.0798040	+	0.349644i
$445$	−14.6539	−	7.05694i	−0.694661	−	0.334531i
$446$	−4.67425	−	5.86132i	−0.221332	−	0.277542i
$447$	6.20763	+	7.78412i	0.293611	+	0.368176i
$448$	−5.76829	−	25.2725i	−0.272526	−	1.19402i
$449$	25.9819	+	12.5122i	1.22616	+	0.590489i	0.931022	−	0.364964i	$-0.118919\pi$
$449$	25.9819	+	12.5122i	1.22616	+	0.590489i	0.295142	+	0.955453i	$0.404633\pi$
$450$	22.3264	−	10.7518i	1.05248	−	0.506846i
$451$	3.57056	+	15.6436i	0.168131	+	0.736631i
$452$	−1.60985	−	7.05322i	−0.0757210	−	0.331756i
$453$	−9.45535	+	4.55345i	−0.444251	+	0.213940i
$454$	−5.79690	−	2.79164i	−0.272062	−	0.131018i
$455$	21.8730	+	95.8319i	1.02542	+	4.49267i
$456$	−5.31704	−	6.66736i	−0.248993	−	0.312228i
$457$	4.11302	+	5.15756i	0.192399	+	0.241261i	0.868669	−	0.495393i	$-0.164976\pi$
$457$	4.11302	+	5.15756i	0.192399	+	0.241261i	−0.676270	+	0.736654i	$0.736405\pi$
$458$	−17.0251	−	8.19888i	−0.795533	−	0.383108i
$459$	−0.840709	+	3.68339i	−0.0392410	+	0.171926i
$460$	−2.98691	+	3.74547i	−0.139266	+	0.174633i
$461$	5.81260	−	25.4667i	0.270720	−	1.18610i	−0.638446	−	0.769667i	$-0.720422\pi$
$461$	5.81260	−	25.4667i	0.270720	−	1.18610i	0.909166	−	0.416434i	$-0.136720\pi$
$462$	4.29089	−	2.06638i	0.199630	−	0.0961369i
$463$	−16.7397	−	20.9909i	−0.777960	−	0.975531i	−1.00000		0.000493510i	$-0.999843\pi$
$463$	−16.7397	−	20.9909i	−0.777960	−	0.975531i	0.222040	−	0.975038i	$-0.428729\pi$
$464$	−2.10516	+	1.01379i	−0.0977295	+	0.0470640i
$465$	7.07933	−	8.87720i	0.328296	−	0.411670i
$466$	−3.27466			−0.151696
$467$	−32.1404			−1.48728			−0.743640	−	0.668581i	$-0.766902\pi$
$467$	−32.1404			−1.48728			−0.743640	+	0.668581i	$0.766902\pi$
$468$	−10.5522	+	13.2320i	−0.487775	+	0.611650i
$469$	−30.0418	−	14.4674i	−1.38720	−	0.668040i
$470$	10.5910	+	46.4023i	0.488527	+	2.14038i
$471$	0.850096	−	3.72451i	0.0391704	−	0.171617i
$472$	28.9046			1.33044
$473$	−9.69227	+	6.50591i	−0.445651	+	0.299142i
$474$	6.22933			0.286123
$475$	−9.67013	+	42.3676i	−0.443696	+	1.94396i
$476$	−0.996966	−	4.36799i	−0.0456959	−	0.200207i
$477$	6.65784	+	3.20625i	0.304841	+	0.146804i
$478$	17.3044	−	21.6990i	0.791486	−	0.992491i
$479$	6.91626			0.316012			0.158006	−	0.987438i	$-0.449493\pi$
$479$	6.91626			0.316012			0.158006	+	0.987438i	$0.449493\pi$
$480$	14.1159			0.644300
$481$	38.7670	−	48.6123i	1.76763	−	2.21653i
$482$	−4.00277	+	1.92763i	−0.182321	+	0.0878012i
$483$	1.96738	+	2.46702i	0.0895191	+	0.112253i
$484$	−7.69349	+	3.70499i	−0.349704	+	0.168409i
$485$	12.9647	−	56.8023i	0.588699	−	2.57926i
$486$	8.77865	−	11.0081i	0.398207	−	0.499336i
$487$	−2.83858	+	12.4366i	−0.128628	+	0.563557i	0.869005	+	0.494803i	$0.164760\pi$
$487$	−2.83858	+	12.4366i	−0.128628	+	0.563557i	−0.997634	+	0.0687545i	$0.978097\pi$
$488$	−11.4549	−	5.51639i	−0.518539	−	0.249715i
$489$	4.35360	+	5.45925i	0.196877	+	0.246876i
$490$	22.9505	+	28.7791i	1.03680	+	1.30011i
$491$	6.12407	+	26.8313i	0.276375	+	1.21088i	0.902339	+	0.431027i	$0.141849\pi$
$491$	6.12407	+	26.8313i	0.276375	+	1.21088i	−0.625964	+	0.779852i	$0.715294\pi$
$492$	6.04582	+	2.91151i	0.272567	+	0.131261i
$493$	−3.34089	+	1.60889i	−0.150466	+	0.0724607i
$494$	5.50906	+	24.1368i	0.247865	+	1.08597i
$495$	−3.92025	−	17.1758i	−0.176202	−	0.771993i
$496$	2.41744	−	1.16418i	0.108546	−	0.0522730i
$497$	2.41861	+	1.16474i	0.108489	+	0.0522457i
$498$	−0.577413	−	2.52981i	−0.0258745	−	0.113364i
$499$	−22.5932	−	28.3310i	−1.01141	−	1.26827i	−0.963017	−	0.269441i	$-0.913161\pi$
$499$	−22.5932	−	28.3310i	−1.01141	−	1.26827i	−0.0483945	−	0.998828i	$-0.515410\pi$
$500$	−13.9517	−	17.4949i	−0.623941	−	0.782397i
$501$	−9.23810	−	4.44883i	−0.412728	−	0.198759i
$502$	3.61487	−	15.8378i	0.161339	−	0.706874i
$503$	5.91436	−	7.41638i	0.263708	−	0.330680i	−0.632294	−	0.774728i	$-0.717887\pi$
$503$	5.91436	−	7.41638i	0.263708	−	0.330680i	0.896003	+	0.444048i	$0.146458\pi$
$504$	−6.82825	+	29.9165i	−0.304154	+	1.33259i
$505$	65.5866	−	31.5848i	2.91856	−	1.40551i
$506$	−1.19072	−	1.49312i	−0.0529341	−	0.0663773i
$507$	−15.0823	+	7.26326i	−0.669829	+	0.322573i
$508$	5.34563	−	6.70320i	0.237174	−	0.297407i
$509$	13.9137			0.616715			0.308358	−	0.951271i	$-0.400221\pi$
$509$	13.9137			0.616715			0.308358	+	0.951271i	$0.400221\pi$
$510$	−2.54307			−0.112609
$511$	−25.6046	+	32.1072i	−1.13268	+	1.42034i
$512$	6.35196	+	3.05894i	0.280719	+	0.135187i
$513$	3.56291	+	15.6101i	0.157306	+	0.689204i
$514$	−0.0522824	+	0.229064i	−0.00230608	+	0.0101036i
$515$	−0.0991740			−0.00437013
$516$	−0.400007	+	4.86533i	−0.0176093	+	0.214184i
$517$	22.7465			1.00039
$518$	8.85131	−	38.7801i	0.388904	−	1.70390i
$519$	−1.62066	−	7.10056i	−0.0711389	−	0.311680i
$520$	−63.5289	−	30.5939i	−2.78593	−	1.34163i
$521$	−2.65861	+	3.33379i	−0.116476	+	0.146056i	−0.836651	−	0.547736i	$-0.815490\pi$
$521$	−2.65861	+	3.33379i	−0.116476	+	0.146056i	0.720176	+	0.693792i	$0.244061\pi$
$522$	8.96106			0.392215
$523$	−17.5854			−0.768957			−0.384479	−	0.923134i	$-0.625619\pi$
$523$	−17.5854			−0.768957			−0.384479	+	0.923134i	$0.625619\pi$
$524$	8.20309	−	10.2864i	0.358354	−	0.449362i
$525$	−25.9161	+	12.4806i	−1.13107	+	0.544696i
$526$	12.7320	+	15.9655i	0.555144	+	0.696128i
$527$	3.83648	−	1.84755i	0.167120	−	0.0804806i
$528$	−0.170411	+	0.746621i	−0.00741620	+	0.0324925i
$529$	−13.5513	+	16.9928i	−0.589189	+	0.738820i
$530$	−2.41724	+	10.5906i	−0.104998	+	0.460028i
$531$	−22.3886	−	10.7818i	−0.971584	−	0.467890i
$532$	−11.8385	−	14.8450i	−0.513265	−	0.643615i
$533$	−34.4241	−	43.1665i	−1.49108	−	1.86975i
$534$	−0.603369	−	2.64353i	−0.0261103	−	0.114397i
$535$	18.6648	+	8.98848i	0.806948	+	0.388606i
$536$	21.5501	−	10.3780i	0.930823	−	0.448261i
$537$	0.501779	+	2.19844i	0.0216534	+	0.0948696i
$538$	0.533922	+	2.33927i	0.0230190	+	0.100853i
$539$	15.8497	−	7.63280i	0.682694	−	0.328768i
$540$	−14.4969	−	6.98135i	−0.623849	−	0.300430i
$541$	9.77902	+	42.8447i	0.420433	+	1.84204i	0.529920	+	0.848048i	$0.322222\pi$
$541$	9.77902	+	42.8447i	0.420433	+	1.84204i	−0.109487	+	0.993988i	$0.534921\pi$
$542$	−7.05427	−	8.84577i	−0.303007	−	0.379958i
$543$	−0.883496	−	1.10787i	−0.0379144	−	0.0475432i
$544$	4.76957	+	2.29690i	0.204494	+	0.0984789i
$545$	10.1672	−	44.5456i	0.435517	−	1.90812i
$546$	−10.2173	+	12.8121i	−0.437259	+	0.548306i
$547$	7.21722	−	31.6207i	0.308586	−	1.35200i	−0.548206	−	0.836343i	$-0.684689\pi$
$547$	7.21722	−	31.6207i	0.308586	−	1.35200i	0.856793	−	0.515661i	$-0.172454\pi$
$548$	−11.0193	+	5.30663i	−0.470723	+	0.226688i
$549$	6.81492	+	8.54564i	0.290854	+	0.364719i
$550$	15.6853	−	7.55363i	0.668822	−	0.322088i
$551$	−9.79808	+	12.2864i	−0.417412	+	0.523419i
$552$	−2.26352			−0.0963417
$553$	39.3089			1.67159
$554$	7.34438	−	9.20956i	0.312033	−	0.391277i
$555$	24.3867	+	11.7440i	1.03516	+	0.498506i
$556$	−0.680565	−	2.98175i	−0.0288624	−	0.126454i
$557$	4.93666	−	21.6289i	0.209173	−	0.916446i	−0.755946	−	0.654634i	$-0.772823\pi$
$557$	4.93666	−	21.6289i	0.209173	−	0.916446i	0.965119	−	0.261812i	$-0.0843201\pi$
$558$	−10.2903			−0.435625
$559$	20.3342	−	34.6390i	0.860047	−	1.46507i
$560$	−10.1118			−0.427303
$561$	−0.270443	+	1.18489i	−0.0114181	+	0.0500261i
$562$	4.71102	+	20.6403i	0.198723	+	0.870660i
$563$	29.2542	+	14.0881i	1.23292	+	0.593741i	0.932880	−	0.360187i	$-0.117287\pi$
$563$	29.2542	+	14.0881i	1.23292	+	0.593741i	0.300036	+	0.953928i	$0.403001\pi$
$564$	5.93094	−	7.43716i	0.249738	−	0.313161i
$565$	−25.9128			−1.09016
$566$	−21.3133			−0.895867
$567$	12.8660	−	16.1334i	0.540319	−	0.677539i
$568$	−1.73496	+	0.835513i	−0.0727973	+	0.0350573i
$569$	−23.8805	−	29.9452i	−1.00112	−	1.25537i	−0.966687	−	0.255962i	$-0.917608\pi$
$569$	−23.8805	−	29.9452i	−1.00112	−	1.25537i	−0.0344368	−	0.999407i	$-0.510964\pi$
$570$	−9.71018	+	4.67618i	−0.406715	+	0.195863i
$571$	2.89894	−	12.7011i	0.121317	−	0.531524i	−0.877347	−	0.479856i	$-0.840689\pi$
$571$	2.89894	−	12.7011i	0.121317	−	0.531524i	0.998664	−	0.0516683i	$-0.0164539\pi$
$572$	−7.41337	+	9.29607i	−0.309969	+	0.388688i
$573$	2.48971	−	10.9082i	0.104009	−	0.455695i
$574$	−31.8234	−	15.3253i	−1.32828	−	0.639668i
$575$	7.19174	+	9.01815i	0.299916	+	0.376083i
$576$	−9.96736	−	12.4987i	−0.415307	−	0.520778i
$577$	3.01521	+	13.2105i	0.125525	+	0.549961i	0.998107	+	0.0614940i	$0.0195865\pi$
$577$	3.01521	+	13.2105i	0.125525	+	0.549961i	−0.872582	+	0.488467i	$0.837556\pi$
$578$	−0.859268	−	0.413802i	−0.0357408	−	0.0172119i
$579$	6.22182	−	2.99627i	0.258570	−	0.124521i
$580$	−3.51411	−	15.3963i	−0.145915	−	0.639297i
$581$	−3.64365	−	15.9639i	−0.151164	−	0.662293i
$582$	8.75128	−	4.21439i	0.362752	−	0.174692i
$583$	4.67742	+	2.25253i	0.193719	+	0.0932902i
$584$	−6.55517	−	28.7201i	−0.271255	−	1.18845i
$585$	37.7956	+	47.3942i	1.56265	+	1.95951i
$586$	−7.80401	−	9.78591i	−0.322381	−	0.404252i
$587$	−27.4241	−	13.2068i	−1.13192	−	0.545102i	−0.228362	−	0.973576i	$-0.573337\pi$
$587$	−27.4241	−	13.2068i	−1.13192	−	0.545102i	−0.903554	+	0.428475i	$0.859051\pi$
$588$	1.63705	−	7.17237i	0.0675107	−	0.295784i
$589$	11.2515	−	14.1090i	0.463611	−	0.581350i
$590$	8.12859	−	35.6137i	0.334649	−	1.46619i
$591$	1.04672	−	0.504072i	0.0430562	−	0.0207348i
$592$	3.98800	+	5.00080i	0.163906	+	0.205532i
$593$	13.2840	−	6.39726i	0.545510	−	0.262704i	−0.140768	−	0.990043i	$-0.544957\pi$
$593$	13.2840	−	6.39726i	0.545510	−	0.262704i	0.686279	+	0.727339i	$0.259243\pi$
$594$	3.99930	−	5.01497i	0.164093	−	0.205767i
$595$	−16.0475			−0.657885
$596$	−15.9019			−0.651366
$597$	−6.88445	+	8.63283i	−0.281762	+	0.353318i
$598$	5.92052	+	2.85117i	0.242108	+	0.116593i
$599$	−8.24152	−	36.1085i	−0.336739	−	1.47535i	−0.805801	−	0.592186i	$-0.798265\pi$
$599$	−8.24152	−	36.1085i	−0.336739	−	1.47535i	0.469062	−	0.883165i	$-0.344592\pi$
$600$	4.59151	−	20.1167i	0.187448	−	0.821261i
$601$	21.1180			0.861423			0.430711	−	0.902490i	$-0.358263\pi$
$601$	21.1180			0.861423			0.430711	+	0.902490i	$0.358263\pi$
$602$	2.10552	−	25.6097i	0.0858146	−	1.04377i
$603$	−20.5632			−0.837397
$604$	3.72984	−	16.3415i	0.151765	−	0.664926i
$605$	6.80586	+	29.8184i	0.276698	+	1.21229i
$606$	10.9341	+	5.26559i	0.444168	+	0.213900i
$607$	−6.34538	+	7.95685i	−0.257551	+	0.322959i	−0.893749	−	0.448567i	$-0.851935\pi$
$607$	−6.34538	+	7.95685i	−0.257551	+	0.322959i	0.636198	+	0.771526i	$0.280506\pi$
$608$	22.4351			0.909864
$609$	−10.4019			−0.421504
$610$	−10.0181	+	12.5624i	−0.405623	+	0.508635i
$611$	−70.5167	+	33.9591i	−2.85280	+	1.37384i
$612$	−1.72271	−	2.16022i	−0.0696366	−	0.0873215i
$613$	−16.8301	+	8.10495i	−0.679761	+	0.327356i	−0.741707	−	0.670724i	$-0.765984\pi$
$613$	−16.8301	+	8.10495i	−0.679761	+	0.327356i	0.0619461	+	0.998079i	$0.480269\pi$
$614$	−3.45784	+	15.1498i	−0.139547	+	0.611395i
$615$	14.9856	−	18.7913i	0.604277	−	0.757739i
$616$	−4.79714	+	21.0176i	−0.193282	+	0.846825i
$617$	−40.4953	−	19.5015i	−1.63028	−	0.785102i	−0.999962	−	0.00876593i	$-0.997210\pi$
$617$	−40.4953	−	19.5015i	−1.63028	−	0.785102i	−0.630319	−	0.776336i	$-0.717076\pi$
$618$	−0.0103085	−	0.0129265i	−0.000414669	−	0.000519979i
$619$	−13.1910	−	16.5410i	−0.530190	−	0.664837i	0.442548	−	0.896745i	$-0.354075\pi$
$619$	−13.1910	−	16.5410i	−0.530190	−	0.664837i	−0.972738	+	0.231908i	$0.925503\pi$
$620$	4.03539	+	17.6802i	0.162065	+	0.710054i
$621$	3.82901	+	1.84396i	0.153653	+	0.0739954i
$622$	−11.2269	+	5.40661i	−0.450160	+	0.216785i
$623$	−3.80744	−	16.6815i	−0.152542	−	0.668329i
$624$	−0.586363	−	2.56902i	−0.0234733	−	0.102843i
$625$	−26.0181	+	12.5296i	−1.04072	+	0.501186i
$626$	13.7372	+	6.61548i	0.549048	+	0.264408i
$627$	1.14613	+	5.02154i	0.0457722	+	0.200541i
$628$	3.80433	+	4.77048i	0.151809	+	0.190363i
$629$	6.32898	+	7.93629i	0.252353	+	0.316441i
$630$	34.9401	+	16.8263i	1.39205	+	0.670375i
$631$	3.03862	−	13.3131i	0.120965	−	0.529984i	−0.877741	−	0.479136i	$-0.840950\pi$
$631$	3.03862	−	13.3131i	0.120965	−	0.529984i	0.998706	−	0.0508488i	$-0.0161926\pi$
$632$	−17.5810	+	22.0459i	−0.699337	+	0.876940i
$633$	−0.219507	+	0.961723i	−0.00872462	+	0.0382251i
$634$	−11.3028	+	5.44314i	−0.448891	+	0.216175i
$635$	−19.1468	−	24.0094i	−0.759819	−	0.952783i
$636$	1.95608	−	0.941998i	0.0775636	−	0.0373527i
$637$	−37.7405	+	47.3251i	−1.49533	+	1.87509i
$638$	6.29554			0.249243
$639$	1.65550			0.0654907
$640$	−11.1301	+	13.9567i	−0.439956	+	0.551687i
$641$	−19.9863	−	9.62491i	−0.789412	−	0.380161i	−0.00467470	−	0.999989i	$-0.501488\pi$
$641$	−19.9863	−	9.62491i	−0.789412	−	0.380161i	−0.784738	+	0.619828i	$0.787202\pi$
$642$	0.768515	+	3.36708i	0.0303309	+	0.132888i
$643$	−8.93372	+	39.1412i	−0.352312	+	1.54358i	0.419517	+	0.907747i	$0.362199\pi$
$643$	−8.93372	+	39.1412i	−0.352312	+	1.54358i	−0.771829	+	0.635831i	$0.780658\pi$
$644$	−5.03978			−0.198595
$645$	16.6708	+	5.27458i	0.656412	+	0.207687i
$646$	−4.04183			−0.159024
$647$	−2.18380	+	9.56784i	−0.0858539	+	0.376150i	−0.999542	−	0.0302659i	$-0.990365\pi$
$647$	−2.18380	+	9.56784i	−0.0858539	+	0.376150i	0.913688	+	0.406416i	$0.133222\pi$
$648$	3.29388	+	14.4314i	0.129396	+	0.566920i
$649$	−15.7290	−	7.57468i	−0.617417	−	0.297332i
$650$	−37.3491	+	46.8343i	−1.46495	+	1.83699i
$651$	11.9449			0.468156
$652$	−11.1525			−0.436765
$653$	−7.22129	+	9.05521i	−0.282591	+	0.354358i	−0.902786	−	0.430090i	$-0.858482\pi$
$653$	−7.22129	+	9.05521i	−0.282591	+	0.354358i	0.620195	+	0.784447i	$0.287053\pi$
$654$	6.86295	−	3.30502i	0.268363	−	0.129237i
$655$	−29.3817	−	36.8434i	−1.14804	−	1.43959i
$656$	5.11725	−	2.46434i	0.199795	−	0.0962162i
$657$	−5.63552	+	24.6908i	−0.219863	+	0.963281i
$658$	−31.2187	+	39.1470i	−1.21703	+	1.52611i
$659$	−5.97111	+	26.1612i	−0.232602	+	1.01909i	0.714871	+	0.699257i	$0.246486\pi$
$659$	−5.97111	+	26.1612i	−0.232602	+	1.01909i	−0.947472	+	0.319838i	$0.896372\pi$
$660$	−4.66344	−	2.24580i	−0.181524	−	0.0874175i
$661$	−9.74211	−	12.2162i	−0.378924	−	0.475156i	0.555399	−	0.831584i	$-0.312566\pi$
$661$	−9.74211	−	12.2162i	−0.378924	−	0.475156i	−0.934323	+	0.356429i	$0.883994\pi$
$662$	7.30098	+	9.15515i	0.283761	+	0.355825i
$663$	−0.930560	−	4.07705i	−0.0361400	−	0.158340i
$664$	10.5828	+	5.09639i	0.410691	+	0.197778i
$665$	−61.2741	+	29.5081i	−2.37611	+	1.14427i
$666$	−5.45861	−	23.9157i	−0.211517	−	0.926715i
$667$	0.928166	+	4.06656i	0.0359387	+	0.157458i
$668$	14.7548	−	7.10555i	0.570881	−	0.274922i
$669$	4.83524	+	2.32853i	0.186941	+	0.0900261i
$670$	−6.72647	−	29.4706i	−0.259866	−	1.13855i
$671$	4.78778	+	6.00369i	0.184830	+	0.231770i
$672$	9.25884	+	11.6102i	0.357168	+	0.447874i
$673$	27.2385	+	13.1174i	1.04997	+	0.505637i	0.877599	−	0.479396i	$-0.159144\pi$
$673$	27.2385	+	13.1174i	1.04997	+	0.505637i	0.172367	+	0.985033i	$0.444858\pi$
$674$	0.799696	−	3.50370i	0.0308031	−	0.134957i
$675$	−24.1550	+	30.2894i	−0.929726	+	1.16584i
$676$	5.94950	−	26.0665i	0.228827	−	1.00256i
$677$	−10.6482	+	5.12789i	−0.409243	+	0.197081i	−0.627167	−	0.778885i	$-0.715786\pi$
$677$	−10.6482	+	5.12789i	−0.409243	+	0.197081i	0.217924	+	0.975966i	$0.430071\pi$
$678$	−2.69347	−	3.37750i	−0.103442	−	0.129712i
$679$	55.2232	−	26.5941i	2.11927	−	1.02059i
$680$	7.17731	−	9.00006i	0.275237	−	0.345137i
$681$	4.60587			0.176497
$682$	−7.22941			−0.276829
$683$	7.11162	−	8.91769i	0.272119	−	0.341226i	−0.626929	−	0.779076i	$-0.715689\pi$
$683$	7.11162	−	8.91769i	0.272119	−	0.341226i	0.899048	+	0.437850i	$0.144260\pi$
$684$	−10.5500	−	5.08061i	−0.403389	−	0.194262i
$685$	9.74799	+	42.7087i	0.372452	+	1.63182i
$686$	−2.51312	+	11.0107i	−0.0959514	+	0.420390i
$687$	13.5272			0.516093
$688$	3.00854	+	2.83228i	0.114699	+	0.107980i
$689$	−17.8634			−0.680543
$690$	−0.636548	+	2.78890i	−0.0242330	+	0.106172i
$691$	−4.77789	−	20.9333i	−0.181760	−	0.796340i	−0.980793	−	0.195053i	$-0.937512\pi$
$691$	−4.77789	−	20.9333i	−0.181760	−	0.796340i	0.799033	−	0.601287i	$-0.205345\pi$
$692$	10.4805	+	5.04714i	0.398408	+	0.191863i
$693$	11.5556	−	14.4902i	0.438960	−	0.550438i
$694$	10.3658			0.393479
$695$	−10.9546			−0.415533
$696$	4.65226	−	5.83375i	0.176344	−	0.221128i
$697$	8.12109	−	3.91091i	0.307608	−	0.148136i
$698$	−16.0271	−	20.0974i	−0.606636	−	0.760698i
$699$	2.11204	−	1.01710i	0.0798845	−	0.0384704i
$700$	10.2231	−	44.7904i	0.386397	−	1.69292i
$701$	13.1268	−	16.4604i	0.495791	−	0.621702i	−0.469483	−	0.882941i	$-0.655560\pi$
$701$	13.1268	−	16.4604i	0.495791	−	0.621702i	0.965274	+	0.261239i	$0.0841312\pi$
$702$	−4.91127	+	21.5177i	−0.185364	+	0.812133i
$703$	38.7590	+	18.6654i	1.46182	+	0.703978i
$704$	−7.00250	−	8.78086i	−0.263917	−	0.330941i
$705$	−21.2433	−	26.6383i	−0.800069	−	1.00325i
$706$	4.71131	+	20.6416i	0.177312	+	0.776856i
$707$	68.9975	+	33.2274i	2.59492	+	1.24965i
$708$	−6.57780	+	3.16770i	−0.247209	+	0.119050i
$709$	0.0465748	+	0.204058i	0.00174915	+	0.00766355i	0.975795	−	0.218687i	$-0.0701775\pi$
$709$	0.0465748	+	0.204058i	0.00174915	+	0.00766355i	−0.974046	+	0.226351i	$0.927320\pi$
$710$	0.541536	+	2.37262i	0.0203235	+	0.0890430i
$711$	21.8411	−	10.5181i	0.819107	−	0.394461i
$712$	11.0585	+	5.32548i	0.414434	+	0.199581i
$713$	−1.06585	−	4.66979i	−0.0399164	−	0.174885i
$714$	−1.66804	−	2.09166i	−0.0624248	−	0.0782782i
$715$	26.5530	+	33.2965i	0.993027	+	1.24522i
$716$	−3.24492	−	1.56267i	−0.121268	−	0.0583997i
$717$	−4.42104	+	19.3698i	−0.165107	+	0.723379i
$718$	−4.85869	+	6.09260i	−0.181325	+	0.227374i
$719$	−2.55457	+	11.1923i	−0.0952693	+	0.417402i	−0.999962	−	0.00866150i	$-0.997243\pi$
$719$	−2.55457	+	11.1923i	−0.0952693	+	0.417402i	0.904693	+	0.426064i	$0.140100\pi$
$720$	−5.61842	+	2.70569i	−0.209386	+	0.100835i
$721$	−0.0650497	−	0.0815698i	−0.00242258	−	0.00303782i
$722$	0.893232	−	0.430158i	0.0332427	−	0.0160088i
$723$	1.98292	−	2.48651i	0.0737456	−	0.0924741i
$724$	2.26322			0.0841119
$725$	−38.0238			−1.41217
$726$	−3.17915	+	3.98652i	−0.117989	+	0.147954i
$727$	−17.9764	−	8.65696i	−0.666706	−	0.321069i	0.0697396	−	0.997565i	$-0.477783\pi$
$727$	−17.9764	−	8.65696i	−0.666706	−	0.321069i	−0.736446	+	0.676496i	$0.763497\pi$
$728$	−16.5063	−	72.3190i	−0.611765	−	2.68032i
$729$	1.10985	−	4.86258i	0.0411057	−	0.180096i
$730$	−37.2297			−1.37793
$731$	4.77456	+	4.49484i	0.176594	+	0.166248i
$732$	3.21133			0.118694
$733$	−6.21140	+	27.2139i	−0.229423	+	1.00517i	0.720689	+	0.693259i	$0.243826\pi$
$733$	−6.21140	+	27.2139i	−0.229423	+	1.00517i	−0.950112	+	0.311910i	$0.899031\pi$
$734$	−2.57011	−	11.2604i	−0.0948645	−	0.415629i
$735$	−23.7410	−	11.4331i	−0.875700	−	0.421715i
$736$	3.71279	−	4.65569i	0.136855	−	0.171611i
$737$	−14.4465			−0.532144
$738$	−21.7827			−0.801831
$739$	31.8964	−	39.9968i	1.17333	−	1.47131i	0.321949	−	0.946757i	$-0.395662\pi$
$739$	31.8964	−	39.9968i	1.17333	−	1.47131i	0.851379	−	0.524551i	$-0.175767\pi$
$740$	−38.9498	+	18.7572i	−1.43182	+	0.689530i
$741$	−11.0500	−	13.8563i	−0.405932	−	0.509022i
$742$	−10.2962	+	4.95840i	−0.377986	+	0.182029i
$743$	1.28562	−	5.63268i	0.0471649	−	0.206643i	−0.945855	−	0.324589i	$-0.894774\pi$
$743$	1.28562	−	5.63268i	0.0471649	−	0.206643i	0.993020	+	0.117946i	$0.0376311\pi$
$744$	−5.34238	+	6.69913i	−0.195861	+	0.245602i
$745$	−12.6741	+	55.5289i	−0.464344	+	2.03442i
$746$	−20.1830	−	9.71961i	−0.738951	−	0.355860i
$747$	−6.29607	−	7.89502i	−0.230361	−	0.288864i
$748$	−1.21028	−	1.51765i	−0.0442523	−	0.0554906i
$749$	4.84956	+	21.2473i	0.177199	+	0.776359i
$750$	−12.0386	−	5.79749i	−0.439588	−	0.211694i
$751$	−27.8121	+	13.3936i	−1.01488	+	0.488739i	−0.865961	−	0.500111i	$-0.833293\pi$
$751$	−27.8121	+	13.3936i	−1.01488	+	0.488739i	−0.148916	+	0.988850i	$0.547578\pi$
$752$	−1.79162	−	7.84960i	−0.0653337	−	0.286245i
$753$	2.58772	+	11.3376i	0.0943019	+	0.413164i
$754$	−19.5169	+	9.39884i	−0.710763	+	0.342286i
$755$	−54.0913	−	26.0490i	−1.96859	−	0.948021i
$756$	−3.76665	−	16.5028i	−0.136992	−	0.600200i
$757$	26.9489	+	33.7928i	0.979474	+	1.22822i	0.973605	+	0.228239i	$0.0732967\pi$
$757$	26.9489	+	33.7928i	0.979474	+	1.22822i	0.00586898	+	0.999983i	$0.498132\pi$
$758$	12.1547	+	15.2415i	0.441478	+	0.553595i
$759$	1.23173	+	0.593172i	0.0447091	+	0.0215308i
$760$	10.8558	−	47.5624i	0.393781	−	1.72527i
$761$	19.0016	−	23.8273i	0.688807	−	0.863737i	−0.307325	−	0.951605i	$-0.599434\pi$
$761$	19.0016	−	23.8273i	0.688807	−	0.863737i	0.996132	+	0.0878675i	$0.0280052\pi$
$762$	1.13922	−	4.99125i	0.0412696	−	0.180814i
$763$	43.3073	−	20.8557i	1.56783	−	0.755026i
$764$	11.1419	+	13.9715i	0.403100	+	0.505472i
$765$	−8.91646	+	4.29394i	−0.322375	+	0.155248i
$766$	−8.52089	+	10.6849i	−0.307872	+	0.386060i
$767$	60.0702			2.16901
$768$	−11.5907			−0.418243
$769$	−9.03784	+	11.3331i	−0.325913	+	0.408682i	−0.917612	−	0.397477i	$-0.869886\pi$
$769$	−9.03784	+	11.3331i	−0.325913	+	0.408682i	0.591699	+	0.806159i	$0.298457\pi$
$770$	24.5470	+	11.8212i	0.884611	+	0.426006i
$771$	−0.0374267	−	0.163977i	−0.00134789	−	0.00590549i
$772$	−2.45432	+	10.7531i	−0.0883327	+	0.387011i
$773$	8.61358			0.309809			0.154904	−	0.987929i	$-0.450493\pi$
$773$	8.61358			0.309809			0.154904	+	0.987929i	$0.450493\pi$
$774$	−5.68265	−	14.7928i	−0.204259	−	0.531717i
$775$	43.6642			1.56847
$776$	−9.78377	+	42.8655i	−0.351217	+	1.53878i
$777$	6.33626	+	27.7610i	0.227312	+	0.995919i
$778$	31.0601	+	14.9578i	1.11356	+	0.536262i
$779$	23.8173	−	29.8660i	0.853344	−	1.07006i
$780$	17.8100			0.637702
$781$	1.16306			0.0416177
$782$	−0.668883	+	0.838753i	−0.0239192	+	0.0299937i
$783$	−12.6223	+	6.07857i	−0.451083	+	0.217230i
$784$	−3.88241	−	4.86838i	−0.138657	−	0.173871i
$785$	19.6905	−	9.48246i	0.702785	−	0.338443i
$786$	1.74818	−	7.65928i	0.0623556	−	0.273198i
$787$	−6.35891	+	7.97383i	−0.226671	+	0.284236i	−0.882142	−	0.470984i	$-0.843899\pi$
$787$	−6.35891	+	7.97383i	−0.226671	+	0.284236i	0.655471	+	0.755221i	$0.272470\pi$
$788$	−0.412897	+	1.80902i	−0.0147088	+	0.0644437i
$789$	−13.1706	−	6.34261i	−0.468884	−	0.225803i
$790$	22.2188	+	27.8615i	0.790511	+	0.991269i
$791$	−16.9966	−	21.3130i	−0.604328	−	0.757804i
$792$	2.95840	+	12.9616i	0.105122	+	0.460570i
$793$	−23.8058	−	11.4643i	−0.845369	−	0.407108i
$794$	−7.94212	+	3.82472i	−0.281855	+	0.135734i
$795$	−1.73040	−	7.58137i	−0.0613709	−	0.268884i
$796$	−3.92430	−	17.1935i	−0.139093	−	0.609407i
$797$	−14.0829	+	6.78198i	−0.498843	+	0.240230i	−0.666348	−	0.745641i	$-0.732143\pi$
$797$	−14.0829	+	6.78198i	−0.498843	+	0.240230i	0.167505	+	0.985871i	$0.446429\pi$
$798$	−10.2152	−	4.91937i	−0.361613	−	0.174144i
$799$	−2.84331	−	12.4573i	−0.100589	−	0.440709i
$800$	33.8455	+	42.4409i	1.19662	+	1.50051i
$801$	−6.57908	−	8.24991i	−0.232460	−	0.291496i
$802$	9.87496	+	4.75553i	0.348697	+	0.167924i
$803$	−3.95920	+	17.3464i	−0.139717	+	0.612141i
$804$	−3.76680	+	4.72342i	−0.132845	+	0.166582i
$805$	−4.01681	+	17.5988i	−0.141574	+	0.620276i
$806$	22.4120	−	10.7931i	0.789430	−	0.380169i
$807$	−1.07093	−	1.34291i	−0.0376986	−	0.0472726i
$808$	−49.4945	+	23.8353i	−1.74121	+	0.838524i
$809$	−12.6196	+	15.8245i	−0.443682	+	0.556360i	−0.952510	−	0.304509i	$-0.901508\pi$
$809$	−12.6196	+	15.8245i	−0.443682	+	0.556360i	0.508827	+	0.860869i	$0.330079\pi$
$810$	18.7074			0.657311
$811$	7.16137			0.251470			0.125735	−	0.992064i	$-0.459871\pi$
$811$	7.16137			0.251470			0.125735	+	0.992064i	$0.459871\pi$
$812$	10.3584	−	12.9890i	0.363508	−	0.455824i
$813$	7.29723	+	3.51416i	0.255925	+	0.123247i
$814$	−3.83491	−	16.8018i	−0.134413	−	0.588904i
$815$	−8.88875	+	38.9442i	−0.311359	+	1.36415i
$816$	0.430196			0.0150599
$817$	26.4957	+	8.38316i	0.926968	+	0.293289i
$818$	−9.07586			−0.317330
$819$	−14.1906	+	62.1731i	−0.495860	+	2.17250i
$820$	8.54214	+	37.4256i	0.298305	+	1.30696i
$821$	35.7137	+	17.1988i	1.24642	+	0.600242i	0.936549	−	0.350538i	$-0.114001\pi$
$821$	35.7137	+	17.1988i	1.24642	+	0.600242i	0.309867	+	0.950780i	$0.399715\pi$
$822$	−4.55347	+	5.70987i	−0.158820	+	0.199154i
$823$	40.8434			1.42371			0.711856	−	0.702326i	$-0.247855\pi$
$823$	40.8434			1.42371			0.711856	+	0.702326i	$0.247855\pi$
$824$	0.0748411			0.00260721
$825$	−7.77029	+	9.74364i	−0.270527	+	0.339230i
$826$	34.6236	−	16.6738i	1.20471	−	0.580157i
$827$	2.93485	+	3.68019i	0.102055	+	0.127973i	0.830236	−	0.557412i	$-0.188206\pi$
$827$	2.93485	+	3.68019i	0.102055	+	0.127973i	−0.728181	+	0.685385i	$0.759634\pi$
$828$	−2.80024	+	1.34853i	−0.0973152	+	0.0468645i
$829$	−1.01518	+	4.44779i	−0.0352586	+	0.154478i	−0.989493	−	0.144582i	$-0.953816\pi$
$829$	−1.01518	+	4.44779i	−0.0352586	+	0.154478i	0.954234	+	0.299061i	$0.0966733\pi$
$830$	9.25541	−	11.6059i	0.321260	−	0.402847i
$831$	−1.87639	+	8.22098i	−0.0650911	+	0.285183i
$832$	34.8179	+	16.7674i	1.20709	+	0.581305i
$833$	−6.16139	−	7.72614i	−0.213480	−	0.267695i
$834$	−1.13866	−	1.42784i	−0.0394287	−	0.0494420i
$835$	−13.0525	−	57.1868i	−0.451701	−	1.97903i
$836$	−7.41184	−	3.56935i	−0.256344	−	0.123449i
$837$	14.4947	−	6.98026i	0.501009	−	0.241273i
$838$	−0.0867887	−	0.380246i	−0.00299807	−	0.0131354i
$839$	−2.87809	−	12.6097i	−0.0993628	−	0.435337i	−1.00000		0.000764427i	$-0.999757\pi$
$839$	−2.87809	−	12.6097i	−0.0993628	−	0.435337i	0.900637	−	0.434572i	$-0.143100\pi$
$840$	29.0938	−	14.0108i	1.00383	−	0.483419i
$841$	13.7397	+	6.61669i	0.473782	+	0.228162i
$842$	4.09399	+	17.9369i	0.141088	+	0.618148i
$843$	−9.44929	−	11.8490i	−0.325451	−	0.408103i
$844$	−0.982333	−	1.23181i	−0.0338133	−	0.0424005i
$845$	−86.2816	−	41.5510i	−2.96818	−	1.42940i
$846$	−6.87117	+	30.1046i	−0.236236	+	1.03502i
$847$	−20.0613	+	25.1561i	−0.689316	+	0.864375i
$848$	0.408911	−	1.79156i	0.0140421	−	0.0615223i
$849$	13.7463	−	6.61989i	0.471773	−	0.227194i
$850$	−6.09749	−	7.64601i	−0.209142	−	0.262256i
$851$	10.2876	−	4.95427i	0.352656	−	0.169830i
$852$	0.303258	−	0.380274i	0.0103895	−	0.0130280i
$853$	3.00496			0.102888			0.0514440	−	0.998676i	$-0.483618\pi$
$853$	3.00496			0.102888			0.0514440	+	0.998676i	$0.483618\pi$
$854$	−16.9035			−0.578425
$855$	−26.1499	+	32.7910i	−0.894309	+	1.12143i
$856$	−14.0853	−	6.78310i	−0.481424	−	0.231842i
$857$	0.0659026	+	0.288738i	0.00225119	+	0.00986311i	0.976041	−	0.217587i	$-0.0698184\pi$
$857$	0.0659026	+	0.288738i	0.00225119	+	0.00986311i	−0.973790	+	0.227450i	$0.926961\pi$
$858$	−1.57988	+	6.92191i	−0.0539363	+	0.236310i
$859$	47.7731			1.63000			0.814998	−	0.579464i	$-0.196738\pi$
$859$	47.7731			1.63000			0.814998	+	0.579464i	$0.196738\pi$
$860$	−23.1876	+	15.5646i	−0.790690	+	0.530749i
$861$	25.2850			0.861710
$862$	0.727814	−	3.18876i	0.0247894	−	0.108610i
$863$	−9.93797	−	43.5411i	−0.338292	−	1.48216i	−0.802619	−	0.596492i	$-0.796561\pi$
$863$	−9.93797	−	43.5411i	−0.338292	−	1.48216i	0.464327	−	0.885664i	$-0.346296\pi$
$864$	18.0200	+	8.67796i	0.613052	+	0.295230i
$865$	25.9776	−	32.5749i	0.883266	−	1.10758i
$866$	−29.7534			−1.01106
$867$	0.682723			0.0231865
$868$	−11.8949	+	14.9158i	−0.403741	+	0.506275i
$869$	15.3444	−	7.38945i	0.520522	−	0.250670i
$870$	−5.87950	−	7.37267i	−0.199334	−	0.249957i
$871$	44.7859	−	21.5678i	1.51751	−	0.730795i
$872$	−7.67266	+	33.6161i	−0.259829	+	1.13839i
$873$	23.5676	−	29.5528i	0.797642	−	1.00021i
$874$	−1.01170	+	4.43254i	−0.0342212	+	0.149933i
$875$	−75.9672	−	36.5839i	−2.56816	−	1.23676i
$876$	4.63923	+	5.81741i	0.156745	+	0.196552i
$877$	−30.8474	−	38.6814i	−1.04164	−	1.30618i	−0.950629	−	0.310330i	$-0.899561\pi$
$877$	−30.8474	−	38.6814i	−1.04164	−	1.30618i	−0.0910141	−	0.995850i	$-0.529011\pi$
$878$	−5.15146	−	22.5700i	−0.173853	−	0.761701i
$879$	8.07279	+	3.88765i	0.272288	+	0.131127i
$880$	−3.94719	+	1.90086i	−0.133060	+	0.0640781i
$881$	4.56276	+	19.9908i	0.153723	+	0.673506i	0.991783	+	0.127928i	$0.0408327\pi$
$881$	4.56276	+	19.9908i	0.153723	+	0.673506i	−0.838060	+	0.545578i	$0.816310\pi$
$882$	5.31407	+	23.2824i	0.178934	+	0.783961i
$883$	−12.4464	+	5.99385i	−0.418854	+	0.201709i	−0.631426	−	0.775436i	$-0.717530\pi$
$883$	−12.4464	+	5.99385i	−0.418854	+	0.201709i	0.212573	+	0.977145i	$0.431816\pi$
$884$	6.01776	+	2.89800i	0.202399	+	0.0974704i
$885$	5.81890	+	25.4943i	0.195600	+	0.856980i
$886$	16.3341	+	20.4823i	0.548755	+	0.688117i
$887$	−21.0571	−	26.4048i	−0.707029	−	0.886586i	0.290498	−	0.956876i	$-0.406179\pi$
$887$	−21.0571	−	26.4048i	−0.707029	−	0.886586i	−0.997527	+	0.0702895i	$0.977608\pi$
$888$	−18.4033	−	8.86257i	−0.617575	−	0.297408i
$889$	7.18881	−	31.4962i	0.241105	−	1.05635i
$890$	9.67145	−	12.1276i	0.324188	−	0.406519i
$891$	1.98944	−	8.71631i	0.0666488	−	0.292007i
$892$	−7.72271	+	3.71906i	−0.258575	+	0.124523i
$893$	−33.7630	−	42.3375i	−1.12984	−	1.41677i
$894$	−8.55510	+	4.11992i	−0.286125	+	0.137791i
$895$	−8.04307	+	10.0857i	−0.268850	+	0.337127i
$896$	−18.7797			−0.627385
$897$	−4.70409			−0.157065
$898$	−17.1479	+	21.5027i	−0.572232	+	0.717556i
$899$	14.2261	+	6.85093i	0.474467	+	0.228491i
$900$	−6.30460	−	27.6222i	−0.210153	−	0.920741i
$901$	0.648943	−	2.84321i	0.0216194	−	0.0947209i
$902$	−15.3033			−0.509543
$903$	6.59633	+	17.1713i	0.219512	+	0.571424i
$904$	19.5549			0.650387
$905$	1.80383	−	7.90311i	0.0599615	−	0.262708i
$906$	−2.22719	−	9.75796i	−0.0739935	−	0.324187i
$907$	31.4219	+	15.1320i	1.04335	+	0.502450i	0.875427	−	0.483351i	$-0.160580\pi$
$907$	31.4219	+	15.1320i	1.04335	+	0.502450i	0.167921	+	0.985800i	$0.446295\pi$
$908$	−4.58662	+	5.75144i	−0.152212	+	0.190868i
$909$	47.2278			1.56645
$910$	−93.7468			−3.10768
$911$	6.76085	−	8.47783i	0.223997	−	0.280883i	−0.657116	−	0.753790i	$-0.728224\pi$
$911$	6.76085	−	8.47783i	0.223997	−	0.280883i	0.881113	+	0.472907i	$0.156795\pi$
$912$	1.64261	−	0.791041i	0.0543924	−	0.0261940i
$913$	−4.42326	−	5.54659i	−0.146389	−	0.183565i
$914$	−5.66839	+	2.72975i	−0.187494	+	0.0902922i
$915$	2.55950	−	11.2139i	0.0846143	−	0.370720i
$916$	−13.4706	+	16.8916i	−0.445082	+	0.558115i
$917$	11.0315	−	48.3323i	0.364294	−	1.59607i
$918$	−3.24641	−	1.56339i	−0.107148	−	0.0515996i
$919$	−22.1275	−	27.7470i	−0.729918	−	0.915288i	0.268936	−	0.963158i	$-0.413328\pi$
$919$	−22.1275	−	27.7470i	−0.729918	−	0.915288i	−0.998854	+	0.0478700i	$0.984757\pi$
$920$	−8.07353	−	10.1239i	−0.266176	−	0.333775i
$921$	−2.47531	−	10.8451i	−0.0815644	−	0.357357i
$922$	22.4454	+	10.8092i	0.739201	+	0.355981i
$923$	−3.60563	+	1.73638i	−0.118681	+	0.0571537i
$924$	−1.21167	−	5.30869i	−0.0398612	−	0.174643i
$925$	23.1621	+	101.480i	0.761565	+	3.33663i
$926$	23.0700	−	11.1099i	0.758127	−	0.365095i
$927$	−0.0579696	−	0.0279167i	−0.00190397	−	0.000916904i
$928$	4.36811	+	19.1379i	0.143390	+	0.628233i
$929$	5.18764	+	6.50509i	0.170201	+	0.213425i	0.859615	−	0.510942i	$-0.170703\pi$
$929$	5.18764	+	6.50509i	0.170201	+	0.213425i	−0.689414	+	0.724367i	$0.742132\pi$
$930$	6.75167	+	8.46633i	0.221396	+	0.277622i
$931$	−37.7327	−	18.1711i	−1.23664	−	0.595535i
$932$	−0.833133	+	3.65019i	−0.0272902	+	0.119566i
$933$	5.56169	−	6.97414i	0.182082	−	0.228323i
$934$	6.82089	−	29.8842i	0.223186	−	0.977843i
$935$	−6.26420	+	3.01668i	−0.204861	+	0.0986560i
$936$	−28.5222	−	35.7657i	−0.932278	−	1.16904i
$937$	29.3372	−	14.1280i	0.958404	−	0.461543i	0.111779	−	0.993733i	$-0.464345\pi$
$937$	29.3372	−	14.1280i	0.958404	−	0.461543i	0.846625	+	0.532190i	$0.178631\pi$
$938$	19.8273	−	24.8627i	0.647385	−	0.811795i
$939$	−10.9147			−0.356189
$940$	54.4182			1.77493
$941$	−4.91355	+	6.16140i	−0.160177	+	0.200856i	−0.855443	−	0.517897i	$-0.826715\pi$
$941$	−4.91355	+	6.16140i	−0.160177	+	0.200856i	0.695266	+	0.718753i	$0.255287\pi$
$942$	3.28266	+	1.58085i	0.106955	+	0.0515067i
$943$	−2.25620	−	9.88506i	−0.0734720	−	0.321902i
$944$	−1.37506	+	6.02455i	−0.0447545	+	0.196082i
$945$	−60.6294			−1.97227
$946$	−3.99231	−	10.3926i	−0.129801	−	0.337893i
$947$	17.3617			0.564179			0.282089	−	0.959388i	$-0.408973\pi$
$947$	17.3617			0.564179			0.282089	+	0.959388i	$0.408973\pi$
$948$	1.58486	−	6.94371i	0.0514737	−	0.225521i
$949$	−13.6231	−	59.6867i	−0.442224	−	1.93751i
$950$	−37.3414	−	17.9827i	−1.21151	−	0.583434i
$951$	5.59926	−	7.02125i	0.181569	−	0.227680i
$952$	12.1102			0.392493
$953$	−6.78966			−0.219939			−0.109969	−	0.993935i	$-0.535075\pi$
$953$	−6.78966			−0.219939			−0.109969	+	0.993935i	$0.535075\pi$
$954$	−4.39412	+	5.51005i	−0.142265	+	0.178394i
$955$	57.6685	−	27.7717i	1.86611	−	0.898671i
$956$	−19.7849	−	24.8095i	−0.639890	−	0.802397i
$957$	−4.06039	+	1.95538i	−0.131254	+	0.0632085i
$958$	−1.46778	+	6.43077i	−0.0474219	+	0.207769i
$959$	−28.7337	+	36.0309i	−0.927860	+	1.16350i
$960$	−3.74346	+	16.4012i	−0.120820	+	0.529346i
$961$	11.5936	+	5.58320i	0.373988	+	0.180103i
$962$	36.9727	+	46.3624i	1.19205	+	1.49478i
$963$	8.37982	+	10.5080i	0.270036	+	0.338614i
$964$	1.13031	+	4.95222i	0.0364049	+	0.159500i
$965$	35.5933	+	17.1408i	1.14579	+	0.551782i
$966$	−2.71137	+	1.30573i	−0.0872369	+	0.0420111i
$967$	3.20077	+	14.0235i	0.102930	+	0.450965i	0.999960	+	0.00899487i	$0.00286319\pi$
$967$	3.20077	+	14.0235i	0.102930	+	0.450965i	−0.897030	+	0.441970i	$0.854280\pi$
$968$	−5.13601	−	22.5023i	−0.165078	−	0.723252i
$969$	2.60683	−	1.25538i	0.0837436	−	0.0403288i
$970$	50.0636	+	24.1093i	1.60744	+	0.774104i
$971$	4.08992	+	17.9191i	0.131252	+	0.575051i	0.997191	+	0.0749019i	$0.0238644\pi$
$971$	4.08992	+	17.9191i	0.131252	+	0.575051i	−0.865939	+	0.500149i	$0.833279\pi$
$972$	−10.0370	−	12.5860i	−0.321938	−	0.403697i
$973$	−7.18530	−	9.01009i	−0.230350	−	0.288850i
$974$	−10.9612	−	5.27864i	−0.351220	−	0.169139i
$975$	9.54217	−	41.8070i	0.305594	−	1.33889i
$976$	1.69471	−	2.12510i	0.0542463	−	0.0680228i
$977$	−4.73209	+	20.7327i	−0.151393	+	0.663297i	0.841088	+	0.540898i	$0.181916\pi$
$977$	−4.73209	+	20.7327i	−0.151393	+	0.663297i	−0.992481	+	0.122398i	$0.960942\pi$
$978$	−5.99996	+	2.88943i	−0.191858	+	0.0923937i
$979$	−4.62209	−	5.79592i	−0.147723	−	0.185238i
$980$	37.9184	−	18.2606i	1.21126	−	0.583312i
$981$	18.4822	−	23.1760i	0.590092	−	0.739952i
$982$	−26.2475			−0.837591
$983$	29.0017			0.925011			0.462505	−	0.886616i	$-0.346951\pi$
$983$	29.0017			0.925011			0.462505	+	0.886616i	$0.346951\pi$
$984$	−11.3088	+	14.1808i	−0.360511	+	0.452066i
$985$	5.98797	+	2.88365i	0.190792	+	0.0918808i
$986$	−0.786942	−	3.44782i	−0.0250613	−	0.109801i
$987$	7.97594	−	34.9449i	0.253877	−	1.11231i
$988$	28.3064			0.900546
$989$	6.12444	−	4.11101i	0.194746	−	0.130723i
$990$	16.8021			0.534004
$991$	−5.10176	+	22.3523i	−0.162063	+	0.710044i	0.826957	+	0.562264i	$0.190070\pi$
$991$	−5.10176	+	22.3523i	−0.162063	+	0.710044i	−0.989020	+	0.147779i	$0.952787\pi$
$992$	−5.01607	−	21.9768i	−0.159260	−	0.697765i
$993$	−7.55244	−	3.63707i	−0.239670	−	0.115419i
$994$	−1.59626	+	2.00165i	−0.0506303	+	0.0634884i
$995$	−63.1670			−2.00253
$996$	−2.96683			−0.0940077
$997$	22.5769	−	28.3105i	0.715018	−	0.896604i	−0.283027	−	0.959112i	$-0.591339\pi$
$997$	22.5769	−	28.3105i	0.715018	−	0.896604i	0.998044	+	0.0625082i	$0.0199100\pi$
$998$	31.1370	−	14.9948i	0.985626	−	0.474652i
$999$	23.9116	+	29.9842i	0.756530	+	0.948658i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.b.35.12	✓	180
43.16	even	7	inner	731.2.k.b.188.12	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.b.35.12	✓	180	1.1	even	1	trivial
731.2.k.b.188.12	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)

\(f(q)\)	\(=\)	\(q+(-0.212222 + 0.929804i) q^{2} +(-0.151920 - 0.665606i) q^{3} +(0.982440 + 0.473118i) q^{4} +(2.43514 - 3.05357i) q^{5} +0.651124 q^{6} +4.10878 q^{7} +(-1.83767 + 2.30436i) q^{8} +(2.28296 - 1.09941i) q^{9} +O(q^{10})\)	\(q+(-0.212222 + 0.929804i) q^{2} +(-0.151920 - 0.665606i) q^{3} +(0.982440 + 0.473118i) q^{4} +(2.43514 - 3.05357i) q^{5} +0.651124 q^{6} +4.10878 q^{7} +(-1.83767 + 2.30436i) q^{8} +(2.28296 - 1.09941i) q^{9} +(2.32243 + 2.91224i) q^{10} +(1.60388 - 0.772386i) q^{11} +(0.165658 - 0.725794i) q^{12} +(-3.81908 + 4.78897i) q^{13} +(-0.871973 + 3.82036i) q^{14} +(-2.40242 - 1.15695i) q^{15} +(-0.392872 - 0.492646i) q^{16} +(-0.623490 - 0.781831i) q^{17} +(0.537746 + 2.35602i) q^{18} +(-3.81829 - 1.83879i) q^{19} +(3.83708 - 1.84784i) q^{20} +(-0.624207 - 2.73483i) q^{21} +(0.377790 + 1.65521i) q^{22} +(-1.01347 + 0.488062i) q^{23} +(1.81297 + 0.873083i) q^{24} +(-2.28178 - 9.99712i) q^{25} +(-3.64231 - 4.56732i) q^{26} +(-2.35562 - 2.95385i) q^{27} +(4.03663 + 1.94394i) q^{28} +(0.825133 - 3.61514i) q^{29} +(1.58558 - 1.98825i) q^{30} +(-0.947532 + 4.15141i) q^{31} +(-4.76957 + 2.29690i) q^{32} +(-0.757766 - 0.950208i) q^{33} +(0.859268 - 0.413802i) q^{34} +(10.0055 - 12.5465i) q^{35} +2.76302 q^{36} -10.1509 q^{37} +(2.52004 - 3.16003i) q^{38} +(3.76776 + 1.81446i) q^{39} +(2.56155 + 11.2229i) q^{40} +(-2.00574 + 8.78774i) q^{41} +2.67533 q^{42} +(-6.49110 + 0.930419i) q^{43} +1.94114 q^{44} +(2.20218 - 9.64839i) q^{45} +(-0.238722 - 1.04591i) q^{46} +(11.5123 + 5.54404i) q^{47} +(-0.268223 + 0.336341i) q^{48} +9.88211 q^{49} +9.77961 q^{50} +(-0.425671 + 0.533774i) q^{51} +(-6.01776 + 2.89800i) q^{52} +(1.81830 + 2.28007i) q^{53} +(3.24641 - 1.56339i) q^{54} +(1.54713 - 6.77842i) q^{55} +(-7.55057 + 9.46812i) q^{56} +(-0.643835 + 2.82082i) q^{57} +(3.18626 + 1.53442i) q^{58} +(-6.11448 - 7.66732i) q^{59} +(-1.81286 - 2.27326i) q^{60} +(0.959876 + 4.20549i) q^{61} +(-3.65891 - 1.76204i) q^{62} +(9.38017 - 4.51725i) q^{63} +(-1.40389 - 6.15086i) q^{64} +(5.32347 + 23.3237i) q^{65} +(1.04432 - 0.502919i) q^{66} +(-7.31160 - 3.52108i) q^{67} +(-0.242643 - 1.06309i) q^{68} +(0.478824 + 0.600426i) q^{69} +(9.54238 + 11.9658i) q^{70} +(0.588643 + 0.283476i) q^{71} +(-1.66187 + 7.28111i) q^{72} +(-6.23168 + 7.81428i) q^{73} +(2.15424 - 9.43834i) q^{74} +(-6.30750 + 3.03753i) q^{75} +(-2.88127 - 3.61300i) q^{76} +(6.58998 - 3.17357i) q^{77} +(-2.48669 + 3.11821i) q^{78} +9.56705 q^{79} -2.46103 q^{80} +(3.13133 - 3.92656i) q^{81} +(-7.74521 - 3.72990i) q^{82} +(-0.886795 - 3.88530i) q^{83} +(0.680652 - 2.98213i) q^{84} -3.90566 q^{85} +(0.512444 - 6.23290i) q^{86} -2.53161 q^{87} +(-1.16753 + 5.11530i) q^{88} +(-0.926657 - 4.05995i) q^{89} +(8.50377 + 4.09520i) q^{90} +(-15.6918 + 19.6768i) q^{91} -1.22659 q^{92} +2.90715 q^{93} +(-7.59804 + 9.52764i) q^{94} +(-14.9130 + 7.18170i) q^{95} +(2.25343 + 2.82571i) q^{96} +(13.4403 - 6.47249i) q^{97} +(-2.09720 + 9.18842i) q^{98} +(2.81240 - 3.52664i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * q^99

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