LMFDB - Embedded newform 637.2.w.b.92.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$174$
Relative dimension:	$29$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.1
Character	$\chi$	$=$	637.92
Dual form			637.2.w.b.547.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.68715 + 2.11563i) q^{2} +(-0.820369 - 0.395069i) q^{3} +(-1.18434 - 5.18892i) q^{4} +(-0.379531 - 0.182773i) q^{5} +(2.21991 - 1.06905i) q^{6} +(-1.63169 - 2.08269i) q^{7} +(8.09995 + 3.90073i) q^{8} +(-1.35354 - 1.69729i) q^{9} +O(q^{10})$	\(q+(-1.68715 + 2.11563i) q^{2} +(-0.820369 - 0.395069i) q^{3} +(-1.18434 - 5.18892i) q^{4} +(-0.379531 - 0.182773i) q^{5} +(2.21991 - 1.06905i) q^{6} +(-1.63169 - 2.08269i) q^{7} +(8.09995 + 3.90073i) q^{8} +(-1.35354 - 1.69729i) q^{9} +(1.02701 - 0.494580i) q^{10} +(0.396707 - 0.497454i) q^{11} +(-1.07839 + 4.72472i) q^{12} +(0.623490 - 0.781831i) q^{13} +(7.15910 + 0.0617819i) q^{14} +(0.239148 + 0.299882i) q^{15} +(-12.3278 + 5.93675i) q^{16} +(0.0268843 - 0.117788i) q^{17} +5.87447 q^{18} +1.65223 q^{19} +(-0.498899 + 2.18582i) q^{20} +(0.515779 + 2.35320i) q^{21} +(0.383122 + 1.67856i) q^{22} +(1.23304 + 5.40231i) q^{23} +(-5.10389 - 6.40008i) q^{24} +(-3.00681 - 3.77042i) q^{25} +(0.602139 + 2.63814i) q^{26} +(1.04770 + 4.59028i) q^{27} +(-8.87444 + 10.9333i) q^{28} +(-1.60341 + 7.02499i) q^{29} -1.03792 q^{30} -6.00338 q^{31} +(4.23791 - 18.5675i) q^{32} +(-0.521974 + 0.251370i) q^{33} +(0.203837 + 0.255604i) q^{34} +(0.238617 + 1.08867i) q^{35} +(-7.20405 + 9.03360i) q^{36} +(0.379513 - 1.66275i) q^{37} +(-2.78757 + 3.49550i) q^{38} +(-0.820369 + 0.395069i) q^{39} +(-2.36124 - 2.96090i) q^{40} +(-6.73965 - 3.24564i) q^{41} +(-5.84869 - 2.87902i) q^{42} +(-2.52712 + 1.21700i) q^{43} +(-3.05108 - 1.46933i) q^{44} +(0.203494 + 0.891565i) q^{45} +(-13.5096 - 6.50588i) q^{46} +(0.565426 - 0.709021i) q^{47} +12.4588 q^{48} +(-1.67519 + 6.79660i) q^{49} +13.0498 q^{50} +(-0.0685894 + 0.0860084i) q^{51} +(-4.79528 - 2.30929i) q^{52} +(0.445566 + 1.95215i) q^{53} +(-11.4789 - 5.52797i) q^{54} +(-0.241483 + 0.116292i) q^{55} +(-5.09257 - 23.2345i) q^{56} +(-1.35544 - 0.652744i) q^{57} +(-12.1570 - 15.2445i) q^{58} +(8.33680 - 4.01479i) q^{59} +(1.27283 - 1.59608i) q^{60} +(-3.06075 + 13.4100i) q^{61} +(10.1286 - 12.7009i) q^{62} +(-1.32637 + 5.58846i) q^{63} +(15.0696 + 18.8967i) q^{64} +(-0.379531 + 0.182773i) q^{65} +(0.348848 - 1.52840i) q^{66} +10.9897 q^{67} -0.643032 q^{68} +(1.12273 - 4.91902i) q^{69} +(-2.70581 - 1.33194i) q^{70} +(-1.25488 - 5.49800i) q^{71} +(-4.34297 - 19.0278i) q^{72} +(5.95832 + 7.47150i) q^{73} +(2.87747 + 3.60823i) q^{74} +(0.977118 + 4.28103i) q^{75} +(-1.95680 - 8.57328i) q^{76} +(-1.68334 - 0.0145270i) q^{77} +(0.548272 - 2.40213i) q^{78} -12.4358 q^{79} +5.76386 q^{80} +(-0.495248 + 2.16982i) q^{81} +(18.2374 - 8.78267i) q^{82} +(-1.41743 - 1.77740i) q^{83} +(11.5997 - 5.46332i) q^{84} +(-0.0317318 + 0.0397905i) q^{85} +(1.68893 - 7.39970i) q^{86} +(4.09074 - 5.12963i) q^{87} +(5.15374 - 2.48191i) q^{88} +(-1.90589 - 2.38991i) q^{89} +(-2.22954 - 1.07369i) q^{90} +(-2.64565 - 0.0228316i) q^{91} +(26.5718 - 12.7963i) q^{92} +(4.92499 + 2.37175i) q^{93} +(0.546063 + 2.39246i) q^{94} +(-0.627072 - 0.301982i) q^{95} +(-10.8121 + 13.5579i) q^{96} -14.2165 q^{97} +(-11.5527 - 15.0110i) q^{98} -1.38128 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) $ 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−1.68715	+	2.11563i	−1.19300	+	1.49597i	−0.368955	+	0.929447i	$0.620284\pi$
$2$	−1.68715	+	2.11563i	−1.19300	+	1.49597i	−0.824044	+	0.566526i	$0.808287\pi$
$3$	−0.820369	−	0.395069i	−0.473640	−	0.228093i	0.181807	−	0.983334i	$-0.441805\pi$
$3$	−0.820369	−	0.395069i	−0.473640	−	0.228093i	−0.655447	+	0.755241i	$0.727520\pi$
$4$	−1.18434	−	5.18892i	−0.592169	−	2.59446i
$5$	−0.379531	−	0.182773i	−0.169731	−	0.0817384i	0.347089	−	0.937832i	$-0.387170\pi$
$5$	−0.379531	−	0.182773i	−0.169731	−	0.0817384i	−0.516820	+	0.856094i	$0.672884\pi$
$6$	2.21991	−	1.06905i	0.906273	−	0.436438i
$7$	−1.63169	−	2.08269i	−0.616720	−	0.787183i
$7$	−1.63169	−	2.08269i	−0.616720	−	0.787183i
$8$	8.09995	+	3.90073i	2.86377	+	1.37912i
$9$	−1.35354	−	1.69729i	−0.451181	−	0.565764i
$10$	1.02701	−	0.494580i	0.324768	−	0.156400i
$11$	0.396707	−	0.497454i	0.119612	−	0.149988i	−0.718421	−	0.695609i	$-0.755135\pi$
$11$	0.396707	−	0.497454i	0.119612	−	0.149988i	0.838032	+	0.545621i	$0.183706\pi$
$12$	−1.07839	+	4.72472i	−0.311303	+	1.36391i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$14$	7.15910	+	0.0617819i	1.91335	+	0.0165119i
$15$	0.239148	+	0.299882i	0.0617477	+	0.0774291i
$16$	−12.3278	+	5.93675i	−3.08195	+	1.48419i
$17$	0.0268843	−	0.117788i	0.00652041	−	0.0285678i	−0.971563	−	0.236781i	$-0.923908\pi$
$17$	0.0268843	−	0.117788i	0.00652041	−	0.0285678i	0.978083	+	0.208213i	$0.0667648\pi$
$18$	5.87447			1.38463
$19$	1.65223			0.379047			0.189524	−	0.981876i	$-0.439306\pi$
$19$	1.65223			0.379047			0.189524	+	0.981876i	$0.439306\pi$
$20$	−0.498899	+	2.18582i	−0.111557	+	0.488764i
$21$	0.515779	+	2.35320i	0.112552	+	0.513511i
$22$	0.383122	+	1.67856i	0.0816818	+	0.357871i
$23$	1.23304	+	5.40231i	0.257107	+	1.12646i	0.924328	+	0.381599i	$0.124627\pi$
$23$	1.23304	+	5.40231i	0.257107	+	1.12646i	−0.667221	+	0.744860i	$0.732516\pi$
$24$	−5.10389	−	6.40008i	−1.04183	−	1.30641i
$25$	−3.00681	−	3.77042i	−0.601362	−	0.754084i
$26$	0.602139	+	2.63814i	0.118089	+	0.517382i
$27$	1.04770	+	4.59028i	0.201630	+	0.883400i
$28$	−8.87444	+	10.9333i	−1.67711	+	2.06620i
$29$	−1.60341	+	7.02499i	−0.297745	+	1.30451i	0.575730	+	0.817640i	$0.304718\pi$
$29$	−1.60341	+	7.02499i	−0.297745	+	1.30451i	−0.873476	+	0.486868i	$0.838139\pi$
$30$	−1.03792			−0.189497
$31$	−6.00338			−1.07824			−0.539120	−	0.842229i	$-0.681243\pi$
$31$	−6.00338			−1.07824			−0.539120	+	0.842229i	$0.681243\pi$
$32$	4.23791	−	18.5675i	0.749163	−	3.28230i
$33$	−0.521974	+	0.251370i	−0.0908641	+	0.0437578i
$34$	0.203837	+	0.255604i	0.0349578	+	0.0438357i
$35$	0.238617	+	1.08867i	0.0403337	+	0.184019i
$36$	−7.20405	+	9.03360i	−1.20068	+	1.50560i
$37$	0.379513	−	1.66275i	0.0623915	−	0.273355i	−0.934104	−	0.357001i	$-0.883799\pi$
$37$	0.379513	−	1.66275i	0.0623915	−	0.273355i	0.996496	+	0.0836458i	$0.0266564\pi$
$38$	−2.78757	+	3.49550i	−0.452203	+	0.567044i
$39$	−0.820369	+	0.395069i	−0.131364	+	0.0632616i
$40$	−2.36124	−	2.96090i	−0.373344	−	0.468159i
$41$	−6.73965	−	3.24564i	−1.05256	−	0.506884i	−0.174110	−	0.984726i	$-0.555705\pi$
$41$	−6.73965	−	3.24564i	−1.05256	−	0.506884i	−0.878446	+	0.477842i	$0.841419\pi$
$42$	−5.84869	−	2.87902i	−0.902473	−	0.444243i
$43$	−2.52712	+	1.21700i	−0.385382	+	0.185590i	−0.616536	−	0.787327i	$-0.711464\pi$
$43$	−2.52712	+	1.21700i	−0.385382	+	0.185590i	0.231153	+	0.972917i	$0.425750\pi$
$44$	−3.05108	−	1.46933i	−0.459968	−	0.221509i
$45$	0.203494	+	0.891565i	0.0303351	+	0.132907i
$46$	−13.5096	−	6.50588i	−1.99188	−	0.959239i
$47$	0.565426	−	0.709021i	0.0824758	−	0.103421i	−0.738882	−	0.673835i	$-0.764646\pi$
$47$	0.565426	−	0.709021i	0.0824758	−	0.103421i	0.821357	+	0.570414i	$0.193217\pi$
$48$	12.4588			1.79827
$49$	−1.67519	+	6.79660i	−0.239313	+	0.970942i
$50$	13.0498			1.84551
$51$	−0.0685894	+	0.0860084i	−0.00960443	+	0.0120436i
$52$	−4.79528	−	2.30929i	−0.664986	−	0.320240i
$53$	0.445566	+	1.95215i	0.0612032	+	0.268149i	0.996266	−	0.0863323i	$-0.0275147\pi$
$53$	0.445566	+	1.95215i	0.0612032	+	0.268149i	−0.935063	+	0.354481i	$0.884658\pi$
$54$	−11.4789	−	5.52797i	−1.56209	−	0.752262i
$55$	−0.241483	+	0.116292i	−0.0325616	+	0.0156809i
$56$	−5.09257	−	23.2345i	−0.680524	−	3.10484i
$57$	−1.35544	−	0.652744i	−0.179532	−	0.0864580i
$58$	−12.1570	−	15.2445i	−1.59630	−	2.00170i
$59$	8.33680	−	4.01479i	1.08536	−	0.522681i	0.196333	−	0.980537i	$-0.437097\pi$
$59$	8.33680	−	4.01479i	1.08536	−	0.522681i	0.889026	+	0.457856i	$0.151382\pi$
$60$	1.27283	−	1.59608i	0.164322	−	0.206053i
$61$	−3.06075	+	13.4100i	−0.391889	+	1.71698i	0.266094	+	0.963947i	$0.414267\pi$
$61$	−3.06075	+	13.4100i	−0.391889	+	1.71698i	−0.657984	+	0.753032i	$0.728590\pi$
$62$	10.1286	−	12.7009i	1.28634	−	1.61302i
$63$	−1.32637	+	5.58846i	−0.167107	+	0.704080i
$64$	15.0696	+	18.8967i	1.88371	+	2.36209i
$65$	−0.379531	+	0.182773i	−0.0470750	+	0.0226701i
$66$	0.348848	−	1.52840i	0.0429402	−	0.188133i
$67$	10.9897			1.34260			0.671302	−	0.741184i	$-0.265736\pi$
$67$	10.9897			1.34260			0.671302	+	0.741184i	$0.265736\pi$
$68$	−0.643032			−0.0779791
$69$	1.12273	−	4.91902i	0.135161	−	0.592180i
$70$	−2.70581	−	1.33194i	−0.323406	−	0.159197i
$71$	−1.25488	−	5.49800i	−0.148927	−	0.652492i	−0.993184	−	0.116554i	$-0.962815\pi$
$71$	−1.25488	−	5.49800i	−0.148927	−	0.652492i	0.844257	−	0.535938i	$-0.180042\pi$
$72$	−4.34297	−	19.0278i	−0.511824	−	2.24245i
$73$	5.95832	+	7.47150i	0.697369	+	0.874473i	0.996824	−	0.0796375i	$-0.0253763\pi$
$73$	5.95832	+	7.47150i	0.697369	+	0.874473i	−0.299455	+	0.954110i	$0.596805\pi$
$74$	2.87747	+	3.60823i	0.334499	+	0.419448i
$75$	0.977118	+	4.28103i	0.112828	+	0.494331i
$76$	−1.95680	−	8.57328i	−0.224460	−	0.983423i
$77$	−1.68334	−	0.0145270i	−0.191835	−	0.00165551i
$78$	0.548272	−	2.40213i	0.0620795	−	0.271988i
$79$	−12.4358			−1.39914			−0.699569	−	0.714565i	$-0.746625\pi$
$79$	−12.4358			−1.39914			−0.699569	+	0.714565i	$0.746625\pi$
$80$	5.76386			0.644419
$81$	−0.495248	+	2.16982i	−0.0550276	+	0.241092i
$82$	18.2374	−	8.78267i	2.01398	−	0.969883i
$83$	−1.41743	−	1.77740i	−0.155583	−	0.195095i	0.697931	−	0.716165i	$-0.254104\pi$
$83$	−1.41743	−	1.77740i	−0.155583	−	0.195095i	−0.853514	+	0.521070i	$0.825533\pi$
$84$	11.5997	−	5.46332i	1.26563	−	0.596097i
$85$	−0.0317318	+	0.0397905i	−0.00344180	+	0.00431588i
$86$	1.68893	−	7.39970i	0.182122	−	0.797930i
$87$	4.09074	−	5.12963i	0.438573	−	0.549954i
$88$	5.15374	−	2.48191i	0.549390	−	0.264573i
$89$	−1.90589	−	2.38991i	−0.202024	−	0.253329i	0.670491	−	0.741918i	$-0.266083\pi$
$89$	−1.90589	−	2.38991i	−0.202024	−	0.253329i	−0.872515	+	0.488588i	$0.837512\pi$
$90$	−2.22954	−	1.07369i	−0.235015	−	0.113177i
$91$	−2.64565	−	0.0228316i	−0.277340	−	0.00239340i
$92$	26.5718	−	12.7963i	2.77030	−	1.33411i
$93$	4.92499	+	2.37175i	0.510697	+	0.245939i
$94$	0.546063	+	2.39246i	0.0563221	+	0.246763i
$95$	−0.627072	−	0.301982i	−0.0643362	−	0.0309827i
$96$	−10.8121	+	13.5579i	−1.10350	+	1.38375i
$97$	−14.2165			−1.44347			−0.721733	−	0.692172i	$-0.756654\pi$
$97$	−14.2165			−1.44347			−0.721733	+	0.692172i	$0.756654\pi$
$98$	−11.5527	−	15.0110i	−1.16700	−	1.51634i
$99$	−1.38128			−0.138824
$100$	−16.0033	+	20.0676i	−1.60033	+	2.00676i
$101$	−14.2630	−	6.86868i	−1.41922	−	0.683459i	−0.442259	−	0.896887i	$-0.645823\pi$
$101$	−14.2630	−	6.86868i	−1.41922	−	0.683459i	−0.976959	+	0.213428i	$0.931537\pi$
$102$	−0.0662406	−	0.290219i	−0.00655879	−	0.0287359i
$103$	2.34160	+	1.12765i	0.230724	+	0.111111i	0.545674	−	0.837997i	$-0.316274\pi$
$103$	2.34160	+	1.12765i	0.230724	+	0.111111i	−0.314950	+	0.949108i	$0.601988\pi$
$104$	8.09995	−	3.90073i	0.794266	−	0.382498i
$105$	0.234346	−	0.987384i	0.0228699	−	0.0963588i
$106$	−4.88176	−	2.35093i	−0.474159	−	0.228343i
$107$	3.19360	+	4.00465i	0.308737	+	0.387144i	0.911858	−	0.410506i	$-0.134648\pi$
$107$	3.19360	+	4.00465i	0.308737	+	0.387144i	−0.603121	+	0.797650i	$0.706076\pi$
$108$	22.5778	−	10.8729i	2.17255	−	1.04624i
$109$	−7.57791	+	9.50240i	−0.725832	+	0.910165i	−0.998652	−	0.0519005i	$-0.983472\pi$
$109$	−7.57791	+	9.50240i	−0.725832	+	0.910165i	0.272820	+	0.962065i	$0.412044\pi$
$110$	0.161389	−	0.707092i	0.0153878	−	0.0674186i
$111$	−0.968243	+	1.21414i	−0.0919015	+	0.115241i
$112$	32.4795	+	15.9880i	3.06903	+	1.51073i
$113$	8.24361	+	10.3372i	0.775494	+	0.972439i	0.999998	−	0.00203453i	$-0.000647610\pi$
$113$	8.24361	+	10.3372i	0.775494	+	0.972439i	−0.224504	+	0.974473i	$0.572076\pi$
$114$	3.66779	−	1.76632i	0.343520	−	0.165431i
$115$	0.519416	−	2.27571i	0.0484358	−	0.212211i
$116$	38.3511			3.56081
$117$	−2.17092			−0.200701
$118$	−5.57168	+	24.4111i	−0.512915	+	2.24723i
$119$	−0.289183	+	0.136201i	−0.0265093	+	0.0124856i
$120$	0.767327	+	3.36188i	0.0700470	+	0.306896i
$121$	2.35765	+	10.3295i	0.214331	+	0.939047i
$122$	−23.2066	−	29.1002i	−2.10103	−	2.63461i
$123$	4.24674	+	5.32525i	0.382916	+	0.480161i
$124$	7.11003	+	31.1511i	0.638499	+	2.79745i
$125$	0.920731	+	4.03399i	0.0823527	+	0.360811i
$126$	−9.58530	−	12.2347i	−0.853926	−	1.08995i
$127$	0.970308	−	4.25119i	0.0861009	−	0.377233i	−0.913458	−	0.406933i	$-0.866598\pi$
$127$	0.970308	−	4.25119i	0.0861009	−	0.377233i	0.999559	+	0.0297005i	$0.00945536\pi$
$128$	−27.3133			−2.41418
$129$	2.55397			0.224864
$130$	0.253650	−	1.11131i	0.0222465	−	0.0974685i
$131$	2.51496	−	1.21114i	0.219733	−	0.105818i	−0.320779	−	0.947154i	$-0.603945\pi$
$131$	2.51496	−	1.21114i	0.219733	−	0.105818i	0.540512	+	0.841336i	$0.318230\pi$
$132$	1.92253	+	2.41078i	0.167335	+	0.209831i
$133$	−2.69592	−	3.44108i	−0.233766	−	0.298379i
$134$	−18.5413	+	23.2500i	−1.60172	+	2.00850i
$135$	0.441342	−	1.93365i	0.0379847	−	0.166422i
$136$	0.677221	−	0.849208i	0.0580712	−	0.0728190i
$137$	−14.9627	+	7.20564i	−1.27835	+	0.615619i	−0.944965	−	0.327173i	$-0.893904\pi$
$137$	−14.9627	+	7.20564i	−1.27835	+	0.615619i	−0.333382	+	0.942792i	$0.608190\pi$
$138$	8.51258	+	10.6744i	0.724639	+	0.908668i
$139$	−9.34291	−	4.49931i	−0.792456	−	0.381627i	−0.00655436	−	0.999979i	$-0.502086\pi$
$139$	−9.34291	−	4.49931i	−0.792456	−	0.381627i	−0.785901	+	0.618352i	$0.787801\pi$
$140$	5.36643	−	2.52752i	0.453547	−	0.213615i
$141$	−0.743970	+	0.358277i	−0.0626536	+	0.0301724i
$142$	13.7489	+	6.62111i	1.15378	+	0.555631i
$143$	−0.141583	−	0.620315i	−0.0118398	−	0.0518734i
$144$	26.7626	+	12.8882i	2.23022	+	1.07402i
$145$	1.89252	−	2.37314i	0.157165	−	0.197079i
$146$	−25.8595			−2.14015
$147$	4.05940	−	4.91390i	0.334814	−	0.405291i
$148$	−9.07737			−0.746155
$149$	−5.01893	+	6.29354i	−0.411167	+	0.515587i	−0.943691	−	0.330828i	$-0.892672\pi$
$149$	−5.01893	+	6.29354i	−0.411167	+	0.515587i	0.532524	+	0.846415i	$0.321243\pi$
$150$	−10.7056	−	5.15555i	−0.874109	−	0.420949i
$151$	3.44511	+	15.0940i	0.280359	+	1.22833i	0.897334	+	0.441352i	$0.145501\pi$
$151$	3.44511	+	15.0940i	0.280359	+	1.22833i	−0.616975	+	0.786983i	$0.711642\pi$
$152$	13.3830	+	6.44490i	1.08550	+	0.522750i
$153$	−0.236309	+	0.113801i	−0.0191045	+	0.00920024i
$154$	2.87080	−	3.53682i	0.231335	−	0.285005i
$155$	2.27847	+	1.09725i	0.183011	+	0.0881335i
$156$	3.02157	+	3.78893i	0.241919	+	0.303357i
$157$	5.96908	−	2.87456i	0.476385	−	0.229415i	−0.180254	−	0.983620i	$-0.557692\pi$
$157$	5.96908	−	2.87456i	0.476385	−	0.229415i	0.656639	+	0.754205i	$0.271978\pi$
$158$	20.9811	−	26.3095i	1.66917	−	2.09307i
$159$	0.405706	−	1.77751i	0.0321746	−	0.140966i
$160$	−5.00205	+	6.27237i	−0.395446	+	0.495874i
$161$	9.23939	−	11.3829i	0.728166	−	0.897100i
$162$	−3.75497	−	4.70859i	−0.295019	−	0.369942i
$163$	10.0430	−	4.83646i	0.786630	−	0.378821i	0.00295767	−	0.999996i	$-0.499059\pi$
$163$	10.0430	−	4.83646i	0.786630	−	0.378821i	0.783672	+	0.621175i	$0.213344\pi$
$164$	−8.85937	+	38.8154i	−0.691800	+	3.03098i
$165$	0.244049			0.0189992
$166$	6.15175			0.477468
$167$	−3.12053	+	13.6720i	−0.241474	+	1.05797i	0.698202	+	0.715901i	$0.253984\pi$
$167$	−3.12053	+	13.6720i	−0.241474	+	1.05797i	−0.939676	+	0.342066i	$0.888873\pi$
$168$	−5.00142	+	21.0727i	−0.385868	+	1.62580i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−0.0306452	−	0.134265i	−0.00235038	−	0.0102977i
$171$	−2.23636	−	2.80431i	−0.171019	−	0.214451i
$172$	9.30786	+	11.6717i	0.709718	+	0.889958i
$173$	3.06697	+	13.4373i	0.233177	+	1.02162i	0.946986	+	0.321276i	$0.104112\pi$
$173$	3.06697	+	13.4373i	0.233177	+	1.02162i	−0.713808	+	0.700341i	$0.753031\pi$
$174$	3.95065	+	17.3089i	0.299498	+	1.31219i
$175$	−2.94644	+	12.4144i	−0.222730	+	0.938441i
$176$	−1.93725	+	8.48766i	−0.146026	+	0.639782i
$177$	−8.42537			−0.633289
$178$	8.27167			0.619988
$179$	−3.59278	+	15.7410i	−0.268537	+	1.17654i	0.643178	+	0.765716i	$0.277615\pi$
$179$	−3.59278	+	15.7410i	−0.268537	+	1.17654i	−0.911716	+	0.410822i	$0.865242\pi$
$180$	4.38526	−	2.11183i	0.326858	−	0.157406i
$181$	−15.6125	−	19.5774i	−1.16047	−	1.45518i	−0.866369	−	0.499404i	$-0.833552\pi$
$181$	−15.6125	−	19.5774i	−1.16047	−	1.45518i	−0.294098	−	0.955775i	$-0.595019\pi$
$182$	4.51193	−	5.55869i	0.334446	−	0.412038i
$183$	7.80883	−	9.79197i	0.577245	−	0.723843i
$184$	−11.0854	+	48.5682i	−0.817225	+	3.58049i
$185$	−0.447943	+	0.561702i	−0.0329334	+	0.0412972i
$186$	−13.3269	+	6.41792i	−0.977179	+	0.470585i
$187$	−0.0479289	−	0.0601010i	−0.00350491	−	0.00439502i
$188$	−4.34871	−	2.09423i	−0.317162	−	0.152737i
$189$	7.85061	−	9.67194i	0.571048	−	0.703530i
$190$	1.69685	−	0.817159i	0.123102	−	0.0592830i
$191$	24.4384	+	11.7689i	1.76830	+	0.851570i	0.967592	+	0.252520i	$0.0812594\pi$
$191$	24.4384	+	11.7689i	1.76830	+	0.851570i	0.800712	+	0.599050i	$0.204455\pi$
$192$	−4.89716	−	21.4558i	−0.353422	−	1.54844i
$193$	−8.67291	−	4.17665i	−0.624290	−	0.300642i	0.0948670	−	0.995490i	$-0.469757\pi$
$193$	−8.67291	−	4.17665i	−0.624290	−	0.300642i	−0.719157	+	0.694848i	$0.755472\pi$
$194$	23.9854	−	30.0768i	1.72205	−	2.15939i
$195$	0.383563			0.0274675
$196$	37.2510	+	0.642988i	2.66078	+	0.0459277i
$197$	−5.57227			−0.397008			−0.198504	−	0.980100i	$-0.563608\pi$
$197$	−5.57227			−0.397008			−0.198504	+	0.980100i	$0.563608\pi$
$198$	2.33044	−	2.92228i	0.165617	−	0.207677i
$199$	10.1404	+	4.88334i	0.718831	+	0.346171i	0.757280	−	0.653090i	$-0.226528\pi$
$199$	10.1404	+	4.88334i	0.718831	+	0.346171i	−0.0384497	+	0.999261i	$0.512242\pi$
$200$	−9.64762	−	42.2690i	−0.682190	−	2.98887i
$201$	−9.01559	−	4.34168i	−0.635911	−	0.306238i
$202$	38.5954	−	18.5866i	2.71556	−	1.30775i
$203$	17.2471	−	8.12318i	1.21051	−	0.570136i
$204$	0.527523	+	0.254042i	0.0369340	+	0.0177865i
$205$	1.96469	+	2.46365i	0.137220	+	0.172068i
$206$	−6.33633	+	3.05141i	−0.441473	+	0.212602i
$207$	7.50031	−	9.40509i	0.521308	−	0.653699i
$208$	−3.04471	+	13.3398i	−0.211113	+	0.924946i
$209$	0.655450	−	0.821908i	0.0453384	−	0.0568526i
$210$	1.69356	+	2.16166i	0.116866	+	0.149169i
$211$	−8.78373	−	11.0144i	−0.604697	−	0.758266i	0.381405	−	0.924408i	$-0.375440\pi$
$211$	−8.78373	−	11.0144i	−0.604697	−	0.758266i	−0.986102	+	0.166142i	$0.946869\pi$
$212$	9.60187	−	4.62402i	0.659459	−	0.317579i
$213$	−1.14262	+	5.00615i	−0.0782911	+	0.343016i
$214$	−13.8604			−0.947479
$215$	1.18155			0.0805814
$216$	−9.41912	+	41.2679i	−0.640890	+	2.80792i
$217$	9.79564	+	12.5032i	0.664971	+	0.848771i
$218$	−7.31841	−	32.0640i	−0.495665	−	2.17165i
$219$	−1.93626	−	8.48333i	−0.130841	−	0.573250i
$220$	0.889429	+	1.11531i	0.0599653	+	0.0751941i
$221$	−0.0753282	−	0.0944586i	−0.00506712	−	0.00635397i
$222$	−0.935085	−	4.09688i	−0.0627588	−	0.274964i
$223$	−6.40506	−	28.0624i	−0.428914	−	1.87920i	−0.474533	−	0.880238i	$-0.657383\pi$
$223$	−6.40506	−	28.0624i	−0.428914	−	1.87920i	0.0456181	−	0.998959i	$-0.485474\pi$
$224$	−45.5853	+	21.4701i	−3.04579	+	1.43453i
$225$	−2.32965	+	10.2069i	−0.155310	+	0.680458i
$226$	−35.7778			−2.37991
$227$	0.451421			0.0299618			0.0149809	−	0.999888i	$-0.495231\pi$
$227$	0.451421			0.0299618			0.0149809	+	0.999888i	$0.495231\pi$
$228$	−1.78174	+	7.80632i	−0.117999	+	0.516986i
$229$	12.8742	−	6.19987i	0.850748	−	0.409699i	0.0428929	−	0.999080i	$-0.486343\pi$
$229$	12.8742	−	6.19987i	0.850748	−	0.409699i	0.807855	+	0.589381i	$0.200628\pi$
$230$	3.93821	+	4.93837i	0.259678	+	0.325626i
$231$	1.37522	+	0.676954i	0.0904831	+	0.0445403i
$232$	−40.3901	+	50.6476i	−2.65174	+	3.32518i
$233$	−4.25224	+	18.6303i	−0.278573	+	1.22051i	0.621025	+	0.783791i	$0.286717\pi$
$233$	−4.25224	+	18.6303i	−0.278573	+	1.22051i	−0.899598	+	0.436719i	$0.856141\pi$
$234$	3.66267	−	4.59285i	0.239436	−	0.300244i
$235$	−0.344186	+	0.165751i	−0.0224522	+	0.0108124i
$236$	−30.7060	−	38.5041i	−1.99879	−	2.50641i
$237$	10.2019	+	4.91300i	0.662688	+	0.319134i
$238$	0.199745	−	0.841595i	0.0129475	−	0.0545525i
$239$	6.81754	−	3.28315i	0.440990	−	0.212370i	−0.200195	−	0.979756i	$-0.564157\pi$
$239$	6.81754	−	3.28315i	0.440990	−	0.212370i	0.641185	+	0.767387i	$0.278443\pi$
$240$	−4.72849	−	2.27712i	−0.305223	−	0.146987i
$241$	−5.95410	−	26.0866i	−0.383537	−	1.68039i	−0.686298	−	0.727320i	$-0.740766\pi$
$241$	−5.95410	−	26.0866i	−0.383537	−	1.68039i	0.302761	−	0.953066i	$-0.402092\pi$
$242$	−25.8311	−	12.4396i	−1.66049	−	0.799648i
$243$	10.0703	−	12.6278i	0.646010	−	0.810071i
$244$	73.2086			4.68670
$245$	1.87802	−	2.27334i	0.119982	−	0.145238i
$246$	−18.4311			−1.17513
$247$	1.03015	−	1.29176i	0.0655467	−	0.0821930i
$248$	−48.6271	−	23.4176i	−3.08782	−	1.48702i
$249$	0.460620	+	2.01811i	0.0291906	+	0.127892i
$250$	−10.0878	−	4.85804i	−0.638010	−	0.307249i
$251$	−23.7863	+	11.4549i	−1.50138	+	0.723025i	−0.990613	−	0.136696i	$-0.956352\pi$
$251$	−23.7863	+	11.4549i	−1.50138	+	0.723025i	−0.510764	+	0.859721i	$0.670637\pi$
$252$	30.5689	+	0.263805i	1.92566	+	0.0166182i
$253$	3.17656	+	1.52975i	0.199708	+	0.0961745i
$254$	7.35688	+	9.22523i	0.461612	+	0.578843i
$255$	0.0417518	−	0.0201066i	0.00261460	−	0.00125912i
$256$	15.9424	−	19.9912i	0.996403	−	1.24945i
$257$	5.30496	−	23.2426i	0.330914	−	1.44983i	−0.486449	−	0.873709i	$-0.661708\pi$
$257$	5.30496	−	23.2426i	0.330914	−	1.44983i	0.817364	−	0.576122i	$-0.195435\pi$
$258$	−4.30894	+	5.40324i	−0.268263	+	0.336391i
$259$	−4.08225	+	1.92269i	−0.253659	+	0.119470i
$260$	1.39788	+	1.75289i	0.0866931	+	0.108710i
$261$	14.0937	−	6.78718i	0.872380	−	0.420116i
$262$	−1.68081	+	7.36409i	−0.103841	+	0.454955i
$263$	2.24079			0.138173			0.0690866	−	0.997611i	$-0.477992\pi$
$263$	2.24079			0.138173			0.0690866	+	0.997611i	$0.477992\pi$
$264$	−5.20849			−0.320560
$265$	0.187694	−	0.822340i	0.0115299	−	0.0505160i
$266$	11.8285	+	0.102078i	0.725250	+	0.00625880i
$267$	0.619352	+	2.71356i	0.0379037	+	0.166067i
$268$	−13.0155	−	57.0246i	−0.795047	−	3.48333i
$269$	−12.7795	−	16.0250i	−0.779180	−	0.977061i	−0.999998	−	0.00174580i	$-0.999444\pi$
$269$	−12.7795	−	16.0250i	−0.779180	−	0.977061i	0.220819	−	0.975315i	$-0.429127\pi$
$270$	3.34626	+	4.19607i	0.203647	+	0.255365i
$271$	−2.04404	−	8.95552i	−0.124167	−	0.544009i	−0.998298	−	0.0583198i	$-0.981426\pi$
$271$	−2.04404	−	8.95552i	−0.124167	−	0.544009i	0.874131	−	0.485690i	$-0.161431\pi$
$272$	0.367853	+	1.61167i	0.0223044	+	0.0977219i
$273$	2.16139	+	1.06394i	0.130813	+	0.0643929i
$274$	9.99990	−	43.8124i	0.604116	−	2.64681i
$275$	−3.06843			−0.185034
$276$	−26.8541			−1.61643
$277$	−1.99026	+	8.71989i	−0.119583	+	0.523928i	0.879282	+	0.476301i	$0.158023\pi$
$277$	−1.99026	+	8.71989i	−0.119583	+	0.523928i	−0.998865	+	0.0476263i	$0.984834\pi$
$278$	25.2818	−	12.1751i	1.51630	−	0.730212i
$279$	8.12584	+	10.1895i	0.486481	+	0.610028i
$280$	−2.31383	+	9.74898i	−0.138278	+	0.582613i
$281$	1.85874	−	2.33078i	0.110883	−	0.139043i	−0.723293	−	0.690541i	$-0.757372\pi$
$281$	1.85874	−	2.33078i	0.110883	−	0.139043i	0.834176	+	0.551498i	$0.185944\pi$
$282$	0.497212	−	2.17843i	0.0296086	−	0.129724i
$283$	16.1278	−	20.2236i	0.958697	−	1.20217i	−0.0206105	−	0.999788i	$-0.506561\pi$
$283$	16.1278	−	20.2236i	0.958697	−	1.20217i	0.979307	−	0.202380i	$-0.0648676\pi$
$284$	−27.0425	+	13.0230i	−1.60467	+	0.772771i
$285$	0.395127	+	0.495473i	0.0234053	+	0.0293493i
$286$	1.55123	+	0.747032i	0.0917260	+	0.0441729i
$287$	4.23733	+	19.3325i	0.250122	+	1.14116i
$288$	−37.2506	+	17.9390i	−2.19501	+	1.05706i
$289$	15.3033	+	7.36969i	0.900195	+	0.433511i
$290$	1.82771	+	8.00772i	0.107327	+	0.470230i
$291$	11.6628	+	5.61649i	0.683683	+	0.329244i
$292$	31.7124	−	39.7660i	1.85583	−	2.32713i
$293$	10.4552			0.610799			0.305400	−	0.952224i	$-0.401210\pi$
$293$	10.4552			0.610799			0.305400	+	0.952224i	$0.401210\pi$
$294$	3.54713	+	16.8787i	0.206873	+	0.984384i
$295$	−3.89787			−0.226943
$296$	9.55999	−	11.9879i	0.555663	−	0.696780i
$297$	2.69908	+	1.29981i	0.156617	+	0.0754227i
$298$	−4.84706	−	21.2363i	−0.280782	−	1.23019i
$299$	4.99248	+	2.40425i	0.288723	+	0.139042i
$300$	21.0567	−	10.1404i	1.21571	−	0.585455i
$301$	6.65810	+	3.27745i	0.383766	+	0.188909i
$302$	−37.7458	−	18.1774i	−2.17202	−	1.04599i
$303$	8.98728	+	11.2697i	0.516306	+	0.647427i
$304$	−20.3683	+	9.80887i	−1.16820	+	0.562577i
$305$	3.61264	−	4.53010i	0.206859	−	0.259393i
$306$	0.157931	−	0.691942i	0.00902832	−	0.0395557i
$307$	−0.647092	+	0.811427i	−0.0369315	+	0.0463106i	−0.799954	−	0.600061i	$-0.795143\pi$
$307$	−0.647092	+	0.811427i	−0.0369315	+	0.0463106i	0.763023	+	0.646372i	$0.223714\pi$
$308$	1.91827	+	8.75194i	0.109303	+	0.498688i
$309$	−1.47547	−	1.85018i	−0.0839366	−	0.105253i
$310$	−6.16551	+	2.96915i	−0.350177	+	0.168637i
$311$	2.93438	−	12.8564i	0.166393	−	0.729017i	−0.821026	−	0.570891i	$-0.806598\pi$
$311$	2.93438	−	12.8564i	0.166393	−	0.729017i	0.987419	−	0.158126i	$-0.0505451\pi$
$312$	−8.18600			−0.463441
$313$	−15.6510			−0.884644			−0.442322	−	0.896856i	$-0.645845\pi$
$313$	−15.6510			−0.884644			−0.442322	+	0.896856i	$0.645845\pi$
$314$	−3.98928	+	17.4782i	−0.225128	+	0.986350i
$315$	1.52482	−	1.87857i	0.0859136	−	0.105845i
$316$	14.7282	+	64.5284i	0.828525	+	3.63001i
$317$	−1.17015	−	5.12676i	−0.0657221	−	0.287947i	0.931378	−	0.364055i	$-0.118608\pi$
$317$	−1.17015	−	5.12676i	−0.0657221	−	0.287947i	−0.997100	+	0.0761075i	$0.975751\pi$
$318$	3.07607	+	3.85726i	0.172497	+	0.216305i
$319$	2.85853	+	3.58448i	0.160047	+	0.200692i
$320$	−2.26559	−	9.92622i	−0.126651	−	0.554893i
$321$	−1.03782	−	4.54698i	−0.0579253	−	0.253788i
$322$	8.49370	+	38.7518i	0.473336	+	2.15956i
$323$	0.0444190	−	0.194613i	0.00247154	−	0.0108285i
$324$	11.8456			0.658088
$325$	−4.82255			−0.267507
$326$	−6.71198	+	29.4071i	−0.371742	+	1.62871i
$327$	9.97078	−	4.80167i	0.551385	−	0.265533i
$328$	−41.9304	−	52.5791i	−2.31522	−	2.90320i
$329$	−2.39927	−	0.0207053i	−0.132276	−	0.00114152i
$330$	−0.411748	+	0.516316i	−0.0226660	+	0.0284223i
$331$	−4.75876	+	20.8495i	−0.261565	+	1.14599i	0.657989	+	0.753028i	$0.271407\pi$
$331$	−4.75876	+	20.8495i	−0.261565	+	1.14599i	−0.919554	+	0.392964i	$0.871450\pi$
$332$	−7.54408	+	9.45998i	−0.414035	+	0.519184i
$333$	−3.33586	+	1.60647i	−0.182804	+	0.0880339i
$334$	−23.6599	−	29.6686i	−1.29461	−	1.62339i
$335$	−4.17093	−	2.00861i	−0.227882	−	0.109742i
$336$	−20.3288	−	25.9477i	−1.10903	−	1.41557i
$337$	−4.48913	+	2.16185i	−0.244539	+	0.117764i	−0.552139	−	0.833752i	$-0.686188\pi$
$337$	−4.48913	+	2.16185i	−0.244539	+	0.117764i	0.307601	+	0.951516i	$0.400474\pi$
$338$	2.43801	+	1.17408i	0.132610	+	0.0638617i
$339$	−2.67891	−	11.7371i	−0.145499	−	0.637471i
$340$	0.244051	+	0.117529i	0.0132355	+	0.00637389i
$341$	−2.38158	+	2.98641i	−0.128970	+	0.161723i
$342$	9.70597			0.524839
$343$	16.8886	−	7.60101i	0.911898	−	0.410416i
$344$	−25.2167			−1.35960
$345$	−1.32517	+	1.66172i	−0.0713450	+	0.0894638i
$346$	−33.6027	−	16.1822i	−1.80649	−	0.869961i
$347$	−4.51424	−	19.7782i	−0.242337	−	1.06175i	−0.938883	−	0.344236i	$-0.888138\pi$
$347$	−4.51424	−	19.7782i	−0.242337	−	1.06175i	0.696546	−	0.717512i	$-0.254719\pi$
$348$	−31.4620	−	15.1513i	−1.68654	−	0.812196i
$349$	−14.6182	+	7.03977i	−0.782496	+	0.376830i	−0.782087	−	0.623169i	$-0.785845\pi$
$349$	−14.6182	+	7.03977i	−0.782496	+	0.376830i	−0.000409659		1.00000i	$0.500130\pi$
$350$	−21.2931	−	27.1786i	−1.13817	−	1.45276i
$351$	4.24206	+	2.04287i	0.226424	+	0.109040i
$352$	−7.55527	−	9.47401i	−0.402697	−	0.504966i
$353$	8.28412	−	3.98942i	0.440919	−	0.212336i	−0.200234	−	0.979748i	$-0.564170\pi$
$353$	8.28412	−	3.98942i	0.440919	−	0.212336i	0.641154	+	0.767412i	$0.278456\pi$
$354$	14.2149	−	17.8249i	0.755514	−	0.947384i
$355$	−0.528616	+	2.31602i	−0.0280560	+	0.122922i
$356$	−10.1438	+	12.7199i	−0.537621	+	0.674156i
$357$	0.291045	+	0.00251167i	0.0154037	+	0.000132932i
$358$	−27.2405	−	34.1585i	−1.43971	−	1.80533i
$359$	−2.84105	+	1.36818i	−0.149945	+	0.0722096i	−0.507351	−	0.861739i	$-0.669375\pi$
$359$	−2.84105	+	1.36818i	−0.149945	+	0.0722096i	0.357407	+	0.933949i	$0.383661\pi$
$360$	−1.82947	+	8.01541i	−0.0964213	+	0.422449i
$361$	−16.2701			−0.856323
$362$	67.7592			3.56134
$363$	2.14673	−	9.40545i	0.112674	−	0.493658i
$364$	3.01487	+	13.7551i	0.158022	+	0.720964i
$365$	−0.895784	−	3.92468i	−0.0468875	−	0.205427i
$366$	7.54142	+	33.0411i	0.394196	+	1.72709i
$367$	−4.86925	−	6.10584i	−0.254173	−	0.318722i	0.638332	−	0.769762i	$-0.279625\pi$
$367$	−4.86925	−	6.10584i	−0.254173	−	0.318722i	−0.892504	+	0.451039i	$0.851053\pi$
$368$	−47.2728	−	59.2783i	−2.46427	−	3.09009i
$369$	3.61361	+	15.8323i	0.188117	+	0.824195i
$370$	−0.432603	−	1.89536i	−0.0224900	−	0.0985350i
$371$	3.33871	−	4.11328i	0.173337	−	0.213551i
$372$	6.47397	−	28.3643i	0.335660	−	1.47062i
$373$	−20.8904			−1.08167			−0.540833	−	0.841130i	$-0.681891\pi$
$373$	−20.8904			−1.08167			−0.540833	+	0.841130i	$0.681891\pi$
$374$	0.208015			0.0107562
$375$	0.838363	−	3.67311i	0.0432929	−	0.189678i
$376$	7.34562	−	3.53747i	0.378822	−	0.182431i
$377$	4.49265	+	5.63360i	0.231383	+	0.290145i
$378$	7.21700	+	32.9270i	0.371203	+	1.69358i
$379$	−15.8941	+	19.9306i	−0.816424	+	1.02376i	0.182751	+	0.983159i	$0.441500\pi$
$379$	−15.8941	+	19.9306i	−0.816424	+	1.02376i	−0.999175	+	0.0406046i	$0.987072\pi$
$380$	−0.824296	+	3.61148i	−0.0422855	+	0.185265i
$381$	−2.47552	+	3.10421i	−0.126825	+	0.159033i
$382$	−66.1301	+	31.8466i	−3.38351	+	1.62941i
$383$	16.3812	+	20.5413i	0.837039	+	1.04961i	0.998035	+	0.0626586i	$0.0199579\pi$
$383$	16.3812	+	20.5413i	0.837039	+	1.04961i	−0.160996	+	0.986955i	$0.551471\pi$
$384$	22.4070	+	10.7906i	1.14345	+	0.550657i
$385$	0.636226	+	0.313183i	0.0324251	+	0.0159613i
$386$	23.4688	−	11.3020i	1.19453	−	0.575255i
$387$	5.48617	+	2.64200i	0.278878	+	0.134300i
$388$	16.8371	+	73.7682i	0.854775	+	3.74501i
$389$	32.8075	+	15.7992i	1.66340	+	0.801053i	0.998536	+	0.0540932i	$0.0172268\pi$
$389$	32.8075	+	15.7992i	1.66340	+	0.801053i	0.664869	+	0.746960i	$0.268487\pi$
$390$	−0.647130	+	0.811476i	−0.0327687	+	0.0410907i
$391$	0.669476			0.0338569
$392$	−40.0807	+	48.5176i	−2.02438	+	2.45051i
$393$	−2.54168			−0.128211
$394$	9.40128	−	11.7888i	0.473629	−	0.593913i
$395$	4.71978	+	2.27292i	0.237478	+	0.114363i
$396$	1.63591	+	7.16737i	0.0822074	+	0.360174i
$397$	−15.9431	−	7.67777i	−0.800159	−	0.385336i	−0.0113200	−	0.999936i	$-0.503603\pi$
$397$	−15.9431	−	7.67777i	−0.800159	−	0.385336i	−0.788839	+	0.614599i	$0.789318\pi$
$398$	−27.4397	+	13.2142i	−1.37543	+	0.662370i
$399$	0.852185	+	3.88803i	0.0426626	+	0.194645i
$400$	59.4514	+	28.6303i	2.97257	+	1.43151i
$401$	−16.9221	−	21.2197i	−0.845051	−	1.05966i	−0.997452	−	0.0713417i	$-0.977272\pi$
$401$	−16.9221	−	21.2197i	−0.845051	−	1.05966i	0.152401	−	0.988319i	$-0.451299\pi$
$402$	24.3961	−	11.7485i	1.21676	−	0.585963i
$403$	−3.74305	+	4.69363i	−0.186454	+	0.233806i
$404$	−18.7489	+	82.1442i	−0.932791	+	4.08683i
$405$	0.584546	−	0.732998i	0.0290463	−	0.0364230i
$406$	−11.9130	+	50.1935i	−0.591231	+	2.49106i
$407$	−0.676589	−	0.848416i	−0.0335373	−	0.0420544i
$408$	−0.891066	+	0.429115i	−0.0441143	+	0.0212444i
$409$	1.67437	−	7.33588i	0.0827921	−	0.362736i	−0.916513	−	0.400004i	$-0.869009\pi$
$409$	1.67437	−	7.33588i	0.0827921	−	0.362736i	0.999305	+	0.0372686i	$0.0118657\pi$
$410$	−8.52689			−0.421113
$411$	15.1216			0.745895
$412$	3.07806	−	13.4859i	0.151645	−	0.664401i
$413$	−21.9646	−	10.8121i	−1.08081	−	0.532028i
$414$	7.24346	+	31.7357i	0.355997	+	1.55972i
$415$	0.213099	+	0.933647i	0.0104606	+	0.0458309i
$416$	−11.8744	−	14.8900i	−0.582188	−	0.730041i
$417$	5.88710	+	7.38219i	0.288292	+	0.361507i
$418$	0.633004	+	2.77337i	0.0309613	+	0.135650i
$419$	−2.32335	−	10.1792i	−0.113503	−	0.497288i	−0.999439	−	0.0334819i	$-0.989340\pi$
$419$	−2.32335	−	10.1792i	−0.113503	−	0.497288i	0.885936	−	0.463807i	$-0.153517\pi$
$420$	−5.40100	−	0.0466098i	−0.263542	−	0.00227433i
$421$	3.26706	−	14.3139i	0.159227	−	0.697618i	−0.830780	−	0.556601i	$-0.812105\pi$
$421$	3.26706	−	14.3139i	0.159227	−	0.697618i	0.990007	−	0.141018i	$-0.0450375\pi$
$422$	38.1219			1.85575
$423$	−1.96874			−0.0957236
$424$	−4.00576	+	17.5504i	−0.194537	+	0.852322i
$425$	−0.524946	+	0.252801i	−0.0254636	+	0.0122626i
$426$	−8.66336	−	10.8635i	−0.419741	−	0.526339i
$427$	32.9231	−	15.5064i	1.59326	−	0.750406i
$428$	16.9975	−	21.3142i	0.821605	−	1.03026i
$429$	−0.128917	+	0.564822i	−0.00622417	+	0.0272699i
$430$	−1.99347	+	2.49973i	−0.0961334	+	0.120548i
$431$	15.1093	−	7.27628i	0.727792	−	0.350486i	−0.0330236	−	0.999455i	$-0.510514\pi$
$431$	15.1093	−	7.27628i	0.727792	−	0.350486i	0.760815	+	0.648969i	$0.224799\pi$
$432$	−40.1672	−	50.3681i	−1.93255	−	2.42334i
$433$	0.639303	+	0.307872i	0.0307229	+	0.0147954i	0.449182	−	0.893440i	$-0.351715\pi$
$433$	0.639303	+	0.307872i	0.0307229	+	0.0147954i	−0.418459	+	0.908236i	$0.637430\pi$
$434$	−42.9788	−	0.370900i	−2.06305	−	0.0178038i
$435$	−2.49012	+	1.19918i	−0.119392	+	0.0574962i
$436$	58.2820	+	28.0671i	2.79120	+	1.34417i
$437$	2.03727	+	8.92585i	0.0974557	+	0.426981i
$438$	21.2143	+	10.2163i	1.01366	+	0.488153i
$439$	−9.63454	+	12.0813i	−0.459831	+	0.576610i	−0.956649	−	0.291245i	$-0.905931\pi$
$439$	−9.63454	+	12.0813i	−0.459831	+	0.576610i	0.496817	+	0.867855i	$0.334502\pi$
$440$	−2.40963			−0.114875
$441$	13.8032	−	6.35620i	0.657298	−	0.302676i
$442$	0.326929			0.0155504
$443$	4.91089	−	6.15806i	0.233324	−	0.292578i	−0.651362	−	0.758767i	$-0.725802\pi$
$443$	4.91089	−	6.15806i	0.233324	−	0.292578i	0.884685	+	0.466189i	$0.154373\pi$
$444$	7.44679	+	3.58618i	0.353409	+	0.170193i
$445$	0.286534	+	1.25539i	0.0135830	+	0.0595111i
$446$	70.1758	+	33.7949i	3.32292	+	1.60024i
$447$	6.60375	−	3.18020i	0.312347	−	0.150418i
$448$	14.7671	−	62.2190i	0.697680	−	2.93957i
$449$	−17.2751	−	8.31925i	−0.815263	−	0.392610i	−0.0206953	−	0.999786i	$-0.506588\pi$
$449$	−17.2751	−	8.31925i	−0.815263	−	0.392610i	−0.794567	+	0.607176i	$0.792302\pi$
$450$	−17.6634	−	22.1492i	−0.832662	−	1.04412i
$451$	−4.28822	+	2.06510i	−0.201924	+	0.0972417i
$452$	43.8755	−	55.0181i	2.06373	−	2.58784i
$453$	3.13692	−	13.7437i	0.147385	−	0.645737i
$454$	−0.761617	+	0.955037i	−0.0357444	+	0.0448221i
$455$	0.999935	+	0.492218i	0.0468777	+	0.0230755i
$456$	−8.43279	−	10.5744i	−0.394902	−	0.495191i
$457$	13.0049	−	6.26281i	0.608342	−	0.292962i	−0.104239	−	0.994552i	$-0.533241\pi$
$457$	13.0049	−	6.26281i	0.608342	−	0.292962i	0.712581	+	0.701590i	$0.247526\pi$
$458$	−8.60410	+	37.6970i	−0.402043	+	1.76147i
$459$	0.568846			0.0265515
$460$	−12.4236			−0.579255
$461$	−7.59366	+	33.2700i	−0.353672	+	1.54954i	0.414955	+	0.909842i	$0.363797\pi$
$461$	−7.59366	+	33.2700i	−0.353672	+	1.54954i	−0.768627	+	0.639697i	$0.779060\pi$
$462$	−3.75240	+	1.76733i	−0.174577	+	0.0822237i
$463$	4.08508	+	17.8979i	0.189850	+	0.831786i	0.976694	+	0.214635i	$0.0688562\pi$
$463$	4.08508	+	17.8979i	0.189850	+	0.831786i	−0.786844	+	0.617151i	$0.788287\pi$
$464$	−21.9391	−	96.1217i	−1.01850	−	4.46234i
$465$	−1.43569	−	1.80030i	−0.0665788	−	0.0834871i
$466$	−32.2405	−	40.4283i	−1.49351	−	1.87280i
$467$	−5.17067	−	22.6542i	−0.239270	−	1.04831i	−0.941673	−	0.336530i	$-0.890747\pi$
$467$	−5.17067	−	22.6542i	−0.239270	−	1.04831i	0.702403	−	0.711780i	$-0.252111\pi$
$468$	2.57110	+	11.2647i	0.118849	+	0.520711i
$469$	−17.9317	−	22.8881i	−0.828010	−	1.05687i
$470$	0.230028	−	1.00782i	0.0106104	−	0.0464872i
$471$	−6.03250			−0.277963
$472$	83.1883			3.82905
$473$	−0.397125	+	1.73992i	−0.0182598	+	0.0800015i
$474$	−27.6063	+	13.2945i	−1.26800	+	0.610637i
$475$	−4.96794	−	6.22960i	−0.227945	−	0.285834i
$476$	1.04923	+	1.33924i	0.0480913	+	0.0613838i
$477$	2.71028	−	3.39858i	0.124095	−	0.155610i
$478$	−4.55632	+	19.9626i	−0.208401	+	0.913066i
$479$	22.0685	−	27.6730i	1.00834	−	1.26441i	0.0441955	−	0.999023i	$-0.485928\pi$
$479$	22.0685	−	27.6730i	1.00834	−	1.26441i	0.964141	−	0.265391i	$-0.0855010\pi$
$480$	6.58154	−	3.16950i	0.300405	−	0.144667i
$481$	−1.06337	−	1.33343i	−0.0484856	−	0.0607990i
$482$	65.2350	+	31.4155i	2.97137	+	1.43094i
$483$	−12.0767	+	5.68799i	−0.549511	+	0.258813i
$484$	50.8068	−	24.4673i	2.30940	−	1.11215i
$485$	5.39560	+	2.59838i	0.245002	+	0.117987i
$486$	9.72545	+	42.6100i	0.441155	+	1.93283i
$487$	−17.8745	−	8.60791i	−0.809971	−	0.390061i	−0.0174056	−	0.999849i	$-0.505541\pi$
$487$	−17.8745	−	8.60791i	−0.809971	−	0.390061i	−0.792565	+	0.609787i	$0.791255\pi$
$488$	−77.1009	+	96.6815i	−3.49019	+	4.37656i
$489$	−10.1497			−0.458986
$490$	1.64103	+	7.80866i	0.0741340	+	0.352759i
$491$	1.52136			0.0686581			0.0343291	−	0.999411i	$-0.489071\pi$
$491$	1.52136			0.0686581			0.0343291	+	0.999411i	$0.489071\pi$
$492$	22.6027	−	28.3429i	1.01901	−	1.27780i
$493$	0.784352	+	0.377724i	0.0353255	+	0.0170118i
$494$	0.994871	+	4.35881i	0.0447613	+	0.196112i
$495$	0.524240	+	0.252461i	0.0235629	+	0.0113473i
$496$	74.0084	−	35.6406i	3.32308	−	1.60031i
$497$	−9.40305	+	11.5845i	−0.421784	+	0.519638i
$498$	−5.04670	−	2.43036i	−0.226148	−	0.108907i
$499$	−11.5309	−	14.4593i	−0.516195	−	0.647288i	0.453601	−	0.891205i	$-0.350139\pi$
$499$	−11.5309	−	14.4593i	−0.516195	−	0.647288i	−0.969796	+	0.243917i	$0.921568\pi$
$500$	19.8416	−	9.55520i	0.887342	−	0.427321i
$501$	7.96135	−	9.98322i	0.355687	−	0.446017i
$502$	15.8969	−	69.6490i	0.709515	−	3.10859i
$503$	−24.6083	+	30.8578i	−1.09723	+	1.37588i	−0.177134	+	0.984187i	$0.556683\pi$
$503$	−24.6083	+	30.8578i	−1.09723	+	1.37588i	−0.920095	+	0.391695i	$0.871889\pi$
$504$	−32.5426	+	40.0924i	−1.44956	+	1.78586i
$505$	4.15783	+	5.21376i	0.185021	+	0.232009i
$506$	−8.59572	+	4.13948i	−0.382126	+	0.184022i
$507$	−0.202614	+	0.887711i	−0.00899842	+	0.0394246i
$508$	−23.2083			−1.02970
$509$	−8.35643			−0.370392			−0.185196	−	0.982702i	$-0.559292\pi$
$509$	−8.35643			−0.370392			−0.185196	+	0.982702i	$0.559292\pi$
$510$	−0.0279037	+	0.122254i	−0.00123560	+	0.00541350i
$511$	5.83870	−	24.6005i	0.258289	−	1.08826i
$512$	3.24094	+	14.1995i	0.143231	+	0.627536i
$513$	1.73104	+	7.58419i	0.0764274	+	0.334850i
$514$	40.2223	+	50.4371i	1.77413	+	2.22469i
$515$	−0.682604	−	0.855959i	−0.0300791	−	0.0377180i
$516$	−3.02476	−	13.2523i	−0.133158	−	0.583401i
$517$	−0.128398	−	0.562547i	−0.00564692	−	0.0247408i
$518$	2.81970	−	11.8804i	0.123890	−	0.521994i
$519$	2.79260	−	12.2352i	0.122582	−	0.537065i
$520$	−3.78713			−0.166077
$521$	−37.0724			−1.62417			−0.812086	−	0.583538i	$-0.801668\pi$
$521$	−37.0724			−1.62417			−0.812086	+	0.583538i	$0.801668\pi$
$522$	−9.41917	+	41.2681i	−0.412266	+	1.80626i
$523$	−11.1274	+	5.35869i	−0.486568	+	0.234319i	−0.661051	−	0.750341i	$-0.729889\pi$
$523$	−11.1274	+	5.35869i	−0.486568	+	0.234319i	0.174482	+	0.984660i	$0.444175\pi$
$524$	−9.26307	−	11.6155i	−0.404659	−	0.507426i
$525$	7.32171	−	9.02034i	0.319546	−	0.393680i
$526$	−3.78057	+	4.74068i	−0.164841	+	0.206703i
$527$	−0.161397	+	0.707126i	−0.00703056	+	0.0308029i
$528$	4.94247	−	6.19766i	0.215093	−	0.269719i
$529$	−6.94225	+	3.34321i	−0.301837	+	0.145357i
$530$	1.42310	+	1.78451i	0.0618153	+	0.0775139i
$531$	−18.0985	−	8.71578i	−0.785408	−	0.378232i
$532$	−14.6626	+	18.0643i	−0.635705	+	0.783187i
$533$	−6.73965	+	3.24564i	−0.291927	+	0.140584i
$534$	−6.78582	−	3.26788i	−0.293651	−	0.141415i
$535$	−0.480131	−	2.10359i	−0.0207579	−	0.0909461i
$536$	89.0159	+	42.8678i	3.84490	+	1.85161i
$537$	9.16619	−	11.4940i	0.395550	−	0.496004i
$538$	55.4639			2.39122
$539$	2.71644	+	3.52959i	0.117005	+	0.152030i
$540$	−10.5562			−0.454268
$541$	24.7805	−	31.0738i	1.06540	−	1.33597i	0.126423	−	0.991976i	$-0.459650\pi$
$541$	24.7805	−	31.0738i	1.06540	−	1.33597i	0.938974	−	0.343989i	$-0.111778\pi$
$542$	22.3951	+	10.7849i	0.961954	+	0.463253i
$543$	5.07356	+	22.2287i	0.217727	+	0.953926i
$544$	−2.07309	−	0.998349i	−0.0888831	−	0.0428039i
$545$	4.61283	−	2.22142i	0.197592	−	0.0951552i
$546$	−5.89751	+	2.77765i	−0.252390	+	0.118873i
$547$	−34.2329	−	16.4857i	−1.46369	−	0.704877i	−0.478781	−	0.877934i	$-0.658921\pi$
$547$	−34.2329	−	16.4857i	−1.46369	−	0.704877i	−0.984912	+	0.173057i	$0.944635\pi$
$548$	55.1103	+	69.1062i	2.35420	+	2.95207i
$549$	26.9036	−	12.9561i	1.14822	−	0.552952i
$550$	5.17692	−	6.49166i	0.220745	−	0.276805i
$551$	−2.64920	+	11.6069i	−0.112860	+	0.494470i
$552$	28.2819	−	35.4643i	1.20376	−	1.50946i
$553$	20.2913	+	25.8999i	0.862876	+	1.10138i
$554$	−15.0902	−	18.9225i	−0.641119	−	0.803938i
$555$	0.589389	−	0.283835i	0.0250182	−	0.0120481i
$556$	−12.2814	+	53.8083i	−0.520847	+	2.28198i
$557$	−10.5463			−0.446862			−0.223431	−	0.974720i	$-0.571726\pi$
$557$	−10.5463			−0.446862			−0.223431	+	0.974720i	$0.571726\pi$
$558$	−35.2667			−1.49296
$559$	−0.624147	+	2.73457i	−0.0263986	+	0.115660i
$560$	−9.40481	−	12.0043i	−0.397426	−	0.507275i
$561$	0.0155754	+	0.0682402i	0.000657593	+	0.00288110i
$562$	1.79509	+	7.86479i	0.0757212	+	0.331756i
$563$	25.8709	+	32.4411i	1.09033	+	1.36723i	0.924548	+	0.381065i	$0.124443\pi$
$563$	25.8709	+	32.4411i	1.09033	+	1.36723i	0.165779	+	0.986163i	$0.446986\pi$
$564$	2.74018	+	3.43608i	0.115382	+	0.144685i
$565$	−1.23936	−	5.42998i	−0.0521402	−	0.228441i
$566$	15.5755	+	68.2407i	0.654686	+	2.86837i
$567$	5.32716	−	2.50902i	0.223720	−	0.105369i
$568$	11.2817	−	49.4285i	0.473371	−	2.07397i
$569$	−4.63582			−0.194344			−0.0971718	−	0.995268i	$-0.530980\pi$
$569$	−4.63582			−0.194344			−0.0971718	+	0.995268i	$0.530980\pi$
$570$	−1.71488			−0.0718282
$571$	−2.24829	+	9.85040i	−0.0940880	+	0.412226i	−0.999935	−	0.0113780i	$-0.996378\pi$
$571$	−2.24829	+	9.85040i	−0.0940880	+	0.412226i	0.905847	+	0.423604i	$0.139235\pi$
$572$	−3.05108	+	1.46933i	−0.127572	+	0.0614356i
$573$	−15.3990	−	19.3097i	−0.643302	−	0.806675i
$574$	−48.0493	−	23.6523i	−2.00554	−	0.987227i
$575$	16.6615	−	20.8928i	0.694831	−	0.871290i
$576$	11.6758	−	51.1551i	0.486493	−	2.13146i
$577$	−5.50779	+	6.90655i	−0.229292	+	0.287523i	−0.883147	−	0.469097i	$-0.844579\pi$
$577$	−5.50779	+	6.90655i	−0.229292	+	0.287523i	0.653854	+	0.756620i	$0.273151\pi$
$578$	−41.4106	+	19.9423i	−1.72245	+	0.829490i
$579$	5.46492	+	6.85279i	0.227114	+	0.284792i
$580$	−14.5554	−	7.00953i	−0.604381	−	0.291055i
$581$	−1.38897	+	5.85224i	−0.0576244	+	0.242792i
$582$	−31.5593	+	15.1981i	−1.30817	+	0.629983i
$583$	1.14787	+	0.552783i	0.0475398	+	0.0228939i
$584$	19.1178	+	83.7606i	0.791101	+	3.46604i
$585$	0.823930	+	0.396784i	0.0340653	+	0.0164050i
$586$	−17.6395	+	22.1193i	−0.728683	+	0.913740i
$587$	−2.96740			−0.122478			−0.0612389	−	0.998123i	$-0.519505\pi$
$587$	−2.96740			−0.122478			−0.0612389	+	0.998123i	$0.519505\pi$
$588$	−30.3055	−	15.2442i	−1.24978	−	0.628660i
$589$	−9.91896			−0.408703
$590$	6.57631	−	8.24643i	0.270742	−	0.339500i
$591$	4.57131	+	2.20143i	0.188039	+	0.0905546i
$592$	5.19281	+	22.7512i	0.213423	+	0.935067i
$593$	−14.8686	−	7.16035i	−0.610581	−	0.294040i	0.102925	−	0.994689i	$-0.467180\pi$
$593$	−14.8686	−	7.16035i	−0.610581	−	0.294040i	−0.713506	+	0.700649i	$0.752894\pi$
$594$	−7.30369	+	3.51727i	−0.299674	+	0.144315i
$595$	0.134648	+	0.00116199i	0.00552001	+	4.76369e-5i
$596$	38.6008	+	18.5891i	1.58115	+	0.761441i
$597$	−6.38957	−	8.01227i	−0.261508	−	0.327920i
$598$	−13.5096	+	6.50588i	−0.552448	+	0.266045i
$599$	−1.60907	+	2.01771i	−0.0657447	+	0.0824412i	−0.813616	−	0.581402i	$-0.802504\pi$
$599$	−1.60907	+	2.01771i	−0.0657447	+	0.0824412i	0.747872	+	0.663843i	$0.231076\pi$
$600$	−8.78455	+	38.4876i	−0.358628	+	1.57125i
$601$	−13.2256	+	16.5844i	−0.539485	+	0.676493i	−0.974618	−	0.223873i	$-0.928130\pi$
$601$	−13.2256	+	16.5844i	−0.539485	+	0.676493i	0.435133	+	0.900366i	$0.356701\pi$
$602$	−18.1671	+	8.55647i	−0.740436	+	0.348736i
$603$	−14.8750	−	18.6527i	−0.605757	−	0.759596i
$604$	74.2415	−	35.7528i	3.02085	−	1.45476i
$605$	0.993153	−	4.35129i	0.0403774	−	0.176905i
$606$	−39.0054			−1.58449
$607$	−20.1481			−0.817787			−0.408893	−	0.912582i	$-0.634085\pi$
$607$	−20.1481			−0.817787			−0.408893	+	0.912582i	$0.634085\pi$
$608$	7.00199	−	30.6777i	0.283968	−	1.24415i
$609$	−17.3582	−	0.149799i	−0.703391	−	0.00607015i
$610$	3.48892	+	15.2860i	0.141262	+	0.618911i
$611$	−0.201798	−	0.884135i	−0.00816388	−	0.0357683i
$612$	0.870372	+	1.09141i	0.0351827	+	0.0441177i
$613$	−9.68497	−	12.1446i	−0.391172	−	0.490514i	0.546781	−	0.837275i	$-0.315853\pi$
$613$	−9.68497	−	12.1446i	−0.391172	−	0.490514i	−0.937954	+	0.346761i	$0.887281\pi$
$614$	−0.624932	−	2.73801i	−0.0252202	−	0.110497i
$615$	−0.638462	−	2.79729i	−0.0257453	−	0.112797i
$616$	−13.5783	−	6.68394i	−0.547087	−	0.269304i
$617$	−6.83336	+	29.9389i	−0.275101	+	1.20529i	0.628805	+	0.777563i	$0.283544\pi$
$617$	−6.83336	+	29.9389i	−0.275101	+	1.20529i	−0.903906	+	0.427732i	$0.859313\pi$
$618$	6.40364			0.257592
$619$	24.9197			1.00161			0.500803	−	0.865561i	$-0.333038\pi$
$619$	24.9197			1.00161			0.500803	+	0.865561i	$0.333038\pi$
$620$	2.99508	−	13.1223i	0.120285	−	0.527005i
$621$	−23.5062	+	11.3200i	−0.943273	+	0.454256i
$622$	22.2485	+	27.8987i	0.892083	+	1.11864i
$623$	−1.86762	+	7.86895i	−0.0748247	+	0.315263i
$624$	7.76791	−	9.74065i	0.310965	−	0.389938i
$625$	−4.97774	+	21.8089i	−0.199109	+	0.872355i
$626$	26.4056	−	33.1116i	1.05538	−	1.32340i
$627$	−0.862421	+	0.415320i	−0.0344418	+	0.0165863i
$628$	−21.9853	−	27.5687i	−0.877308	−	1.10011i
$629$	−0.185649	−	0.0894040i	−0.00740233	−	0.00356477i
$630$	1.40175	+	6.39538i	0.0558471	+	0.254798i
$631$	27.8534	−	13.4135i	1.10883	−	0.533983i	0.212404	−	0.977182i	$-0.431871\pi$
$631$	27.8534	−	13.4135i	1.10883	−	0.533983i	0.896423	+	0.443199i	$0.146156\pi$
$632$	−100.729	−	48.5087i	−4.00680	−	1.92957i
$633$	2.85443	+	12.5061i	0.113453	+	0.497072i
$634$	12.8205	+	6.17403i	0.509168	+	0.245202i
$635$	−1.14526	+	1.43612i	−0.0454484	+	0.0569905i
$636$	−9.70387			−0.384784
$637$	4.26933	+	5.54733i	0.169157	+	0.219793i
$638$	−12.4062			−0.491166
$639$	−7.63316	+	9.57168i	−0.301963	+	0.378650i
$640$	10.3662	+	4.99212i	0.409762	+	0.197331i
$641$	−1.97877	−	8.66958i	−0.0781569	−	0.342428i	0.920698	−	0.390277i	$-0.127621\pi$
$641$	−1.97877	−	8.66958i	−0.0781569	−	0.342428i	−0.998855	+	0.0478488i	$0.984763\pi$
$642$	11.3707	+	5.47582i	0.448764	+	0.216113i
$643$	28.8095	−	13.8739i	1.13613	−	0.547133i	0.231293	−	0.972884i	$-0.425704\pi$
$643$	28.8095	−	13.8739i	1.13613	−	0.547133i	0.904840	+	0.425751i	$0.139990\pi$
$644$	−70.0076	−	34.4613i	−2.75869	−	1.35796i
$645$	−0.969310	−	0.466795i	−0.0381666	−	0.0183800i
$646$	0.336785	+	0.422316i	0.0132506	+	0.0166158i
$647$	−36.2315	+	17.4482i	−1.42441	+	0.685958i	−0.977949	−	0.208846i	$-0.933029\pi$
$647$	−36.2315	+	17.4482i	−1.42441	+	0.685958i	−0.446459	+	0.894804i	$0.647315\pi$
$648$	−12.4754	+	15.6436i	−0.490079	+	0.614540i
$649$	1.31009	−	5.73987i	0.0514255	−	0.225310i
$650$	8.13639	−	10.2027i	0.319135	−	0.400183i
$651$	−3.09642	−	14.1272i	−0.121358	−	0.553687i
$652$	−36.9903	−	46.3844i	−1.44865	−	1.81655i
$653$	−37.8749	+	18.2396i	−1.48216	+	0.713771i	−0.987835	−	0.155506i	$-0.950299\pi$
$653$	−37.8749	+	18.2396i	−1.48216	+	0.713771i	−0.494326	+	0.869277i	$0.664585\pi$
$654$	−6.66370	+	29.1956i	−0.260571	+	1.14164i
$655$	−1.17587			−0.0459450
$656$	102.354			3.99624
$657$	4.61645	−	20.2260i	0.180105	−	0.789092i
$658$	4.09174	−	5.04102i	0.159513	−	0.196520i
$659$	−4.19574	−	18.3827i	−0.163443	−	0.716090i	−0.988523	−	0.151073i	$-0.951727\pi$
$659$	−4.19574	−	18.3827i	−0.163443	−	0.716090i	0.825080	−	0.565016i	$-0.191130\pi$
$660$	−0.289036	−	1.26635i	−0.0112507	−	0.0492926i
$661$	−11.7702	−	14.7594i	−0.457808	−	0.574072i	0.498331	−	0.866987i	$-0.333946\pi$
$661$	−11.7702	−	14.7594i	−0.457808	−	0.574072i	−0.956139	+	0.292914i	$0.905375\pi$
$662$	−36.0809	−	45.2441i	−1.40233	−	1.75846i
$663$	0.0244793	+	0.107251i	0.000950696	+	0.00416527i
$664$	−4.54796	−	19.9259i	−0.176495	−	0.773275i
$665$	0.394251	+	1.79874i	0.0152884	+	0.0697520i
$666$	2.22944	−	9.76780i	0.0863889	−	0.378495i
$667$	−39.9282			−1.54603
$668$	74.6384			2.88785
$669$	−5.83206	+	25.5519i	−0.225481	+	0.987895i
$670$	11.2865	−	5.43528i	0.436034	−	0.209983i
$671$	5.45666	+	6.84243i	0.210652	+	0.264149i
$672$	45.8789	+	0.395928i	1.76982	+	0.0152732i
$673$	18.6683	−	23.4093i	0.719610	−	0.902362i	−0.278706	−	0.960376i	$-0.589905\pi$
$673$	18.6683	−	23.4093i	0.719610	−	0.902362i	0.998316	+	0.0580143i	$0.0184769\pi$
$674$	3.00019	−	13.1447i	0.115563	−	0.506315i
$675$	14.1571	−	17.7524i	0.544905	−	0.683290i
$676$	−4.79528	+	2.30929i	−0.184434	+	0.0888187i
$677$	17.4207	+	21.8449i	0.669533	+	0.839568i	0.994344	−	0.106211i	$-0.0338719\pi$
$677$	17.4207	+	21.8449i	0.669533	+	0.839568i	−0.324810	+	0.945779i	$0.605300\pi$
$678$	29.3510	+	14.1347i	1.12722	+	0.542840i
$679$	23.1969	+	29.6085i	0.890214	+	1.13627i
$680$	−0.412238	+	0.198523i	−0.0158086	+	0.00761303i
$681$	−0.370331	−	0.178342i	−0.0141911	−	0.00683409i
$682$	−2.30002	−	10.0771i	−0.0880725	−	0.385871i
$683$	−12.4051	−	5.97397i	−0.474667	−	0.228588i	0.181226	−	0.983441i	$-0.441993\pi$
$683$	−12.4051	−	5.97397i	−0.474667	−	0.228588i	−0.655893	+	0.754854i	$0.727708\pi$
$684$	−11.9027	+	14.9256i	−0.455113	+	0.570693i
$685$	6.99579			0.267295
$686$	−12.4128	+	48.5540i	−0.473923	+	1.85380i
$687$	−13.0109			−0.496398
$688$	23.9288	−	30.0058i	0.912277	−	1.14396i
$689$	1.80406	+	0.868790i	0.0687292	+	0.0330983i
$690$	−1.27979	−	5.60715i	−0.0487209	−	0.213460i
$691$	1.77218	+	0.853437i	0.0674169	+	0.0324663i	0.467288	−	0.884105i	$-0.345231\pi$
$691$	1.77218	+	0.853437i	0.0674169	+	0.0324663i	−0.399871	+	0.916571i	$0.630945\pi$
$692$	66.0926	−	31.8285i	2.51246	−	1.20994i
$693$	2.25382	+	2.87679i	0.0856157	+	0.109280i
$694$	49.4595	+	23.8184i	1.87746	+	0.904135i
$695$	2.72358	+	3.41526i	0.103311	+	0.129548i
$696$	53.1441	−	25.5928i	2.01442	−	0.970094i
$697$	−0.563488	+	0.706592i	−0.0213436	+	0.0267641i
$698$	9.76971	−	42.8039i	0.369789	−	1.62015i
$699$	10.8486	−	13.6038i	0.410333	−	0.514541i
$700$	67.9069	+	0.586026i	2.56664	+	0.0221497i
$701$	−1.88991	−	2.36987i	−0.0713810	−	0.0895089i	0.744859	−	0.667222i	$-0.232517\pi$
$701$	−1.88991	−	2.36987i	−0.0713810	−	0.0895089i	−0.816240	+	0.577713i	$0.803945\pi$
$702$	−11.4789	+	5.52797i	−0.433245	+	0.208640i
$703$	0.627042	−	2.74725i	0.0236493	−	0.103614i
$704$	15.3785			0.579599
$705$	0.347843			0.0131005
$706$	−5.53647	+	24.2569i	−0.208368	+	0.912919i
$707$	8.96736	+	40.9129i	0.337252	+	1.53869i
$708$	9.97848	+	43.7186i	0.375014	+	1.64304i
$709$	−8.60465	−	37.6994i	−0.323154	−	1.41583i	−0.831905	−	0.554918i	$-0.812750\pi$
$709$	−8.60465	−	37.6994i	−0.323154	−	1.41583i	0.508751	−	0.860914i	$-0.330108\pi$
$710$	−4.00797	−	5.02584i	−0.150416	−	0.188616i
$711$	16.8324	+	21.1072i	0.631265	+	0.791581i
$712$	−6.11521	−	26.7925i	−0.229177	−	1.00409i
$713$	−7.40242	−	32.4321i	−0.277223	−	1.21459i
$714$	−0.496352	+	0.611505i	−0.0185755	+	0.0228850i
$715$	−0.0596415	+	0.261306i	−0.00223047	+	0.00977231i
$716$	85.9339			3.21150
$717$	−6.88997			−0.257311
$718$	1.89874	−	8.31892i	0.0708603	−	0.310459i
$719$	−5.27474	+	2.54018i	−0.196715	+	0.0947328i	−0.529648	−	0.848218i	$-0.677676\pi$
$719$	−5.27474	+	2.54018i	−0.196715	+	0.0947328i	0.332933	+	0.942950i	$0.391962\pi$
$720$	−7.80163	−	9.78294i	−0.290750	−	0.364589i
$721$	−1.47220	−	6.71679i	−0.0548276	−	0.250146i
$722$	27.4502	−	34.4215i	1.02159	−	1.28104i
$723$	−5.42145	+	23.7529i	−0.201626	+	0.883380i
$724$	−83.0953	+	104.198i	−3.08821	+	3.87250i
$725$	31.3083	−	15.0773i	1.16276	−	0.559957i
$726$	16.2765	+	20.4101i	0.604079	+	0.757491i
$727$	−18.6843	−	8.99790i	−0.692963	−	0.333714i	0.0540354	−	0.998539i	$-0.482792\pi$
$727$	−18.6843	−	8.99790i	−0.692963	−	0.333714i	−0.746999	+	0.664825i	$0.768506\pi$
$728$	−21.3406	−	10.5049i	−0.790935	−	0.389338i
$729$	−7.23453	+	3.48397i	−0.267946	+	0.129036i
$730$	9.81449	+	4.72641i	0.363251	+	0.174932i
$731$	0.0754076	+	0.330382i	0.00278905	+	0.0122196i
$732$	−60.0580	−	28.9224i	−2.21981	−	1.06900i
$733$	15.6764	−	19.6576i	0.579022	−	0.726071i	−0.402924	−	0.915234i	$-0.632006\pi$
$733$	15.6764	−	19.6576i	0.579022	−	0.726071i	0.981946	+	0.189163i	$0.0605774\pi$
$734$	21.1328			0.780028
$735$	−2.43879	+	1.12303i	−0.0899563	+	0.0414236i
$736$	105.533			3.88999
$737$	4.35968	−	5.46686i	0.160591	−	0.201375i
$738$	−39.5919	−	19.0664i	−1.45740	−	0.701845i
$739$	−6.95157	−	30.4568i	−0.255718	−	1.12037i	−0.925778	−	0.378067i	$-0.876589\pi$
$739$	−6.95157	−	30.4568i	−0.255718	−	1.12037i	0.670061	−	0.742306i	$-0.266268\pi$
$740$	3.44514	+	1.65909i	0.126646	+	0.0609895i
$741$	−1.35544	+	0.652744i	−0.0497932	+	0.0239791i
$742$	3.06925	+	14.0032i	0.112676	+	0.514073i
$743$	23.6194	+	11.3745i	0.866511	+	0.417290i	0.813679	−	0.581314i	$-0.197461\pi$
$743$	23.6194	+	11.3745i	0.866511	+	0.417290i	0.0528312	+	0.998603i	$0.483175\pi$
$744$	30.6406	+	38.4221i	1.12334	+	1.40862i
$745$	3.05513	−	1.47127i	0.111931	−	0.0539032i
$746$	35.2454	−	44.1963i	1.29043	−	1.61814i
$747$	−1.09821	+	4.81159i	−0.0401815	+	0.176047i
$748$	−0.255095	+	0.319879i	−0.00932720	+	0.0116959i
$749$	3.12948	−	13.1856i	0.114349	−	0.481792i
$750$	6.35647	+	7.97076i	0.232106	+	0.291051i
$751$	−46.3549	+	22.3234i	−1.69152	+	0.814591i	−0.696207	+	0.717841i	$0.745130\pi$
$751$	−46.3549	+	22.3234i	−1.69152	+	0.814591i	−0.995309	+	0.0967496i	$0.969155\pi$
$752$	−2.76117	+	12.0975i	−0.100689	+	0.441149i
$753$	24.0390			0.876029
$754$	−19.4984			−0.710090
$755$	1.45125	−	6.35833i	0.0528163	−	0.231403i
$756$	−59.4847	−	29.2814i	−2.16344	−	1.06495i
$757$	12.1501	+	53.2330i	0.441603	+	1.93479i	0.341770	+	0.939783i	$0.388973\pi$
$757$	12.1501	+	53.2330i	0.441603	+	1.93479i	0.0998323	+	0.995004i	$0.468169\pi$
$758$	−15.3498	−	67.2519i	−0.557530	−	2.44270i
$759$	−2.00159	−	2.50992i	−0.0726532	−	0.0911042i
$760$	−3.90130	−	4.89208i	−0.141515	−	0.177454i
$761$	−1.26954	−	5.56220i	−0.0460206	−	0.201630i	0.946691	−	0.322143i	$-0.104403\pi$
$761$	−1.26954	−	5.56220i	−0.0460206	−	0.201630i	−0.992712	+	0.120513i	$0.961546\pi$
$762$	−2.39075	−	10.4746i	−0.0866078	−	0.379453i
$763$	32.1553	+	0.277495i	1.16410	+	0.0100460i
$764$	32.1247	−	140.747i	1.16223	−	5.09207i
$765$	0.110486			0.00399464
$766$	−71.0954			−2.56878
$767$	2.05902	−	9.02116i	0.0743469	−	0.325735i
$768$	−20.9766	+	10.1018i	−0.756927	+	0.364517i
$769$	−0.407437	−	0.510909i	−0.0146925	−	0.0184239i	0.774431	−	0.632658i	$-0.218036\pi$
$769$	−0.407437	−	0.510909i	−0.0146925	−	0.0184239i	−0.789123	+	0.614235i	$0.789465\pi$
$770$	−1.73599	+	0.817629i	−0.0625607	+	0.0294653i
$771$	−13.5344	+	16.9716i	−0.487431	+	0.611219i
$772$	−11.4007	+	49.9496i	−0.410319	+	1.79773i
$773$	6.54754	−	8.21036i	0.235499	−	0.295306i	−0.650013	−	0.759923i	$-0.725237\pi$
$773$	6.54754	−	8.21036i	0.235499	−	0.295306i	0.885512	+	0.464617i	$0.153808\pi$
$774$	−14.8455	+	7.14921i	−0.533610	+	0.256973i
$775$	18.0510	+	22.6353i	0.648412	+	0.813083i
$776$	−115.153	−	55.4547i	−4.13375	−	1.99071i
$777$	4.10854	+	0.0354561i	0.147393	+	0.00127198i
$778$	−88.7766	+	42.7525i	−3.18279	+	1.53275i
$779$	−11.1354	−	5.36254i	−0.398968	−	0.192133i
$780$	−0.454268	−	1.99028i	−0.0162654	−	0.0712634i
$781$	−3.23282	−	1.55684i	−0.115679	−	0.0557083i
$782$	−1.12951	+	1.41636i	−0.0403912	+	0.0506489i
$783$	−33.9266			−1.21244
$784$	−19.6983	−	93.7323i	−0.703509	−	3.34758i
$785$	−2.79084			−0.0996095
$786$	4.28820	−	5.37723i	0.152955	−	0.191800i
$787$	−18.6925	−	9.00181i	−0.666314	−	0.320880i	0.0699733	−	0.997549i	$-0.477709\pi$
$787$	−18.6925	−	9.00181i	−0.666314	−	0.320880i	−0.736287	+	0.676669i	$0.763423\pi$
$788$	6.59944	+	28.9140i	0.235095	+	1.03002i
$789$	−1.83828	−	0.885267i	−0.0654444	−	0.0315164i
$790$	−12.7717	+	6.15050i	−0.454395	+	0.218825i
$791$	8.07811	−	34.0359i	0.287225	−	1.21018i
$792$	−11.1883	−	5.38802i	−0.397560	−	0.191455i
$793$	8.57604	+	10.7540i	0.304544	+	0.381886i
$794$	43.1417	−	20.7760i	1.53104	−	0.737311i
$795$	−0.478859	+	0.600470i	−0.0169834	+	0.0212965i
$796$	13.3296	−	58.4010i	0.472457	−	2.06997i
$797$	−22.2969	+	27.9594i	−0.789795	+	0.990372i	0.210124	+	0.977675i	$0.432613\pi$
$797$	−22.2969	+	27.9594i	−0.789795	+	0.990372i	−0.999919	+	0.0126974i	$0.995958\pi$
$798$	−9.66338	−	4.75680i	−0.342080	−	0.168389i
$799$	−0.0683131	−	0.0856619i	−0.00241674	−	0.00303050i
$800$	−82.7499	+	39.8502i	−2.92565	+	1.40892i
$801$	−1.47666	+	6.46968i	−0.0521753	+	0.228595i
$802$	73.4432			2.59337
$803$	6.08044			0.214574
$804$	−11.8511	+	51.9232i	−0.417957	+	1.83119i
$805$	−5.58712	+	2.63146i	−0.196920	+	0.0927469i
$806$	−3.61487	−	15.8378i	−0.127328	−	0.557862i
$807$	4.15293	+	18.1952i	0.146190	+	0.640501i
$808$	−88.7364	−	111.272i	−3.12174	−	3.91453i
$809$	13.7838	+	17.2843i	0.484613	+	0.607685i	0.962681	−	0.270637i	$-0.0872344\pi$
$809$	13.7838	+	17.2843i	0.484613	+	0.607685i	−0.478069	+	0.878322i	$0.658663\pi$
$810$	0.564529	+	2.47336i	0.0198355	+	0.0869051i
$811$	−2.88074	−	12.6214i	−0.101157	−	0.443196i	−0.999988	−	0.00490122i	$-0.998440\pi$
$811$	−2.88074	−	12.6214i	−0.101157	−	0.443196i	0.898831	−	0.438294i	$-0.144417\pi$
$812$	−62.5770	−	79.8734i	−2.19602	−	2.80301i
$813$	−1.86118	+	8.15437i	−0.0652745	+	0.285986i
$814$	2.93644			0.102922
$815$	−4.69561			−0.164480
$816$	0.334945	−	1.46749i	0.0117254	−	0.0513725i
$817$	−4.17538	+	2.01076i	−0.146078	+	0.0703475i
$818$	12.6951	+	15.9191i	0.443872	+	0.556598i
$819$	3.54226	+	4.52134i	0.123776	+	0.157989i
$820$	10.4568	−	13.1124i	0.365167	−	0.457905i
$821$	−9.21559	+	40.3761i	−0.321626	+	1.40914i	0.513033	+	0.858369i	$0.328522\pi$
$821$	−9.21559	+	40.3761i	−0.321626	+	1.40914i	−0.834659	+	0.550767i	$0.814335\pi$
$822$	−25.5125	+	31.9917i	−0.889851	+	1.11584i
$823$	−22.1350	+	10.6596i	−0.771576	+	0.371572i	−0.777883	−	0.628409i	$-0.783707\pi$
$823$	−22.1350	+	10.6596i	−0.771576	+	0.371572i	0.00630718	+	0.999980i	$0.497992\pi$
$824$	14.5681	+	18.2679i	0.507505	+	0.636391i
$825$	2.51725	+	1.21224i	0.0876393	+	0.0422049i
$826$	59.9320	−	28.2272i	2.08530	−	0.982151i
$827$	11.3839	−	5.48218i	0.395856	−	0.190634i	−0.225357	−	0.974276i	$-0.572355\pi$
$827$	11.3839	−	5.48218i	0.395856	−	0.190634i	0.621212	+	0.783642i	$0.286640\pi$
$828$	−57.6852	−	27.7797i	−2.00470	−	0.965412i
$829$	−6.00382	−	26.3044i	−0.208521	−	0.913591i	−0.965552	−	0.260211i	$-0.916208\pi$
$829$	−6.00382	−	26.3044i	−0.208521	−	0.913591i	0.757031	−	0.653379i	$-0.226649\pi$
$830$	−2.33478	−	1.12437i	−0.0810414	−	0.0390275i
$831$	5.07770	−	6.36724i	0.176144	−	0.220877i
$832$	24.1698			0.837938
$833$	0.755520	+	0.380040i	0.0261772	+	0.0131676i
$834$	−25.5504			−0.884737
$835$	3.68320	−	4.61858i	0.127462	−	0.159833i
$836$	−5.04109	−	2.42766i	−0.174350	−	0.0839624i
$837$	−6.28975	−	27.5572i	−0.217406	−	0.952516i
$838$	25.4553	+	12.2586i	0.879339	+	0.423467i
$839$	−33.3352	+	16.0534i	−1.15086	+	0.554224i	−0.909292	−	0.416160i	$-0.863376\pi$
$839$	−33.3352	+	16.0534i	−1.15086	+	0.554224i	−0.241567	+	0.970384i	$0.577661\pi$
$840$	5.74971	−	7.08364i	0.198384	−	0.244409i
$841$	−20.6515	−	9.94522i	−0.712120	−	0.342939i
$842$	24.7709	+	31.0617i	0.853661	+	1.07046i
$843$	−2.44567	+	1.17777i	−0.0842334	+	0.0405647i
$844$	−46.7502	+	58.6229i	−1.60921	+	2.01788i
$845$	−0.0937364	+	0.410686i	−0.00322463	+	0.0141280i
$846$	3.32158	−	4.16512i	0.114198	−	0.143200i
$847$	17.6662	−	21.7648i	0.607019	−	0.747847i
$848$	−17.0823	−	21.4205i	−0.586609	−	0.735584i
$849$	−21.2204	+	10.2192i	−0.728283	+	0.350723i
$850$	0.350834	−	1.53710i	0.0120335	−	0.0527222i
$851$	9.45066			0.323965
$852$	27.3298			0.936302
$853$	−6.83804	+	29.9594i	−0.234130	+	1.02579i	0.712045	+	0.702134i	$0.247769\pi$
$853$	−6.83804	+	29.9594i	−0.234130	+	1.02579i	−0.946175	+	0.323657i	$0.895088\pi$
$854$	−22.7407	+	95.8147i	−0.778172	+	3.27871i
$855$	0.336219	+	1.47307i	0.0114984	+	0.0503779i
$856$	10.2469	+	44.8948i	0.350233	+	1.53447i
$857$	−24.0481	−	30.1554i	−0.821467	−	1.03009i	−0.998943	−	0.0459621i	$-0.985365\pi$
$857$	−24.0481	−	30.1554i	−0.821467	−	1.03009i	0.177476	−	0.984125i	$-0.443207\pi$
$858$	−0.977449	−	1.22568i	−0.0333696	−	0.0418441i
$859$	−10.4732	−	45.8862i	−0.357342	−	1.56562i	−0.759786	−	0.650173i	$-0.774697\pi$
$859$	−10.4732	−	45.8862i	−0.357342	−	1.56562i	0.402445	−	0.915444i	$-0.368161\pi$
$860$	−1.39936	−	6.13099i	−0.0477177	−	0.209065i
$861$	4.16148	−	17.5338i	0.141823	−	0.597550i
$862$	−10.0979	+	44.2419i	−0.343937	+	1.50689i
$863$	47.4502			1.61523			0.807613	−	0.589713i	$-0.200759\pi$
$863$	47.4502			1.61523			0.807613	+	0.589713i	$0.200759\pi$
$864$	89.6701			3.05064
$865$	1.29195	−	5.66042i	0.0439278	−	0.192460i
$866$	−1.72994	+	0.833098i	−0.0587859	+	0.0283098i
$867$	−9.64283	−	12.0917i	−0.327488	−	0.410657i
$868$	53.2767	−	65.6368i	1.80833	−	2.22786i
$869$	−4.93337	+	6.18625i	−0.167353	+	0.209854i
$870$	1.66420	−	7.29135i	0.0564218	−	0.247200i
$871$	6.85195	−	8.59208i	0.232170	−	0.291131i
$872$	−98.4470	+	47.4096i	−3.33384	+	1.60549i
$873$	19.2426	+	24.1295i	0.651265	+	0.816660i
$874$	−22.3209	−	10.7492i	−0.755017	−	0.363597i
$875$	6.89920	−	8.49980i	0.233235	−	0.287346i
$876$	−41.7261	+	20.0942i	−1.40980	+	0.678922i
$877$	16.6152	+	8.00145i	0.561055	+	0.270190i	0.692843	−	0.721088i	$-0.256358\pi$
$877$	16.6152	+	8.00145i	0.561055	+	0.270190i	−0.131789	+	0.991278i	$0.542072\pi$
$878$	−9.30461	−	40.7661i	−0.314015	−	1.37579i
$879$	−8.57712	−	4.13052i	−0.289299	−	0.139319i
$880$	2.28656	−	2.86726i	0.0770799	−	0.0966552i
$881$	50.5417			1.70279			0.851397	−	0.524521i	$-0.175756\pi$
$881$	50.5417			1.70279			0.851397	+	0.524521i	$0.175756\pi$
$882$	−9.84088	+	39.9264i	−0.331360	+	1.34439i
$883$	29.4208			0.990088			0.495044	−	0.868868i	$-0.335152\pi$
$883$	29.4208			0.990088			0.495044	+	0.868868i	$0.335152\pi$
$884$	−0.400924	+	0.502743i	−0.0134845	+	0.0169091i
$885$	3.19769	+	1.53993i	0.107489	+	0.0517641i
$886$	4.74272	+	20.7792i	0.159335	+	0.698091i
$887$	51.1994	+	24.6563i	1.71911	+	0.827879i	0.989590	+	0.143918i	$0.0459700\pi$
$887$	51.1994	+	24.6563i	1.71911	+	0.827879i	0.729518	+	0.683961i	$0.239744\pi$
$888$	−12.5787	+	6.05760i	−0.422115	+	0.203280i
$889$	−10.4372	+	4.91577i	−0.350051	+	0.164870i
$890$	−3.13936	−	1.51183i	−0.105231	−	0.0506768i
$891$	0.882920	+	1.10715i	0.0295789	+	0.0370908i
$892$	−138.028	+	66.4707i	−4.62151	+	2.22560i
$893$	0.934213	−	1.17147i	0.0312622	−	0.0392016i
$894$	−4.41344	+	19.3365i	−0.147608	+	0.646711i
$895$	4.24060	−	5.31754i	0.141748	−	0.177746i
$896$	44.5667	+	56.8851i	1.48887	+	1.90040i
$897$	−3.14583	−	3.94475i	−0.105036	−	0.131711i
$898$	46.7462	−	22.5118i	1.55994	−	0.751228i
$899$	9.62587	−	42.1737i	0.321041	−	1.40657i
$900$	55.7217			1.85739
$901$	0.241919			0.00805948
$902$	2.86592	−	12.5564i	0.0954247	−	0.418083i
$903$	−4.16728	−	5.31912i	−0.138678	−	0.177009i
$904$	26.4504	+	115.887i	0.879726	+	3.85433i
$905$	2.34721	+	10.2838i	0.0780238	+	0.341844i
$906$	23.7841	+	29.8243i	0.790174	+	0.990847i
$907$	18.2260	+	22.8547i	0.605184	+	0.758877i	0.986176	−	0.165701i	$-0.0529887\pi$
$907$	18.2260	+	22.8547i	0.605184	+	0.758877i	−0.380992	+	0.924579i	$0.624417\pi$
$908$	−0.534634	−	2.34239i	−0.0177425	−	0.0777348i
$909$	7.64740	+	33.5054i	0.253648	+	1.11131i
$910$	−2.72839	+	1.28504i	−0.0904454	+	0.0425986i
$911$	−9.39680	+	41.1701i	−0.311330	+	1.36402i	0.541001	+	0.841022i	$0.318046\pi$
$911$	−9.39680	+	41.1701i	−0.311330	+	1.36402i	−0.852331	+	0.523003i	$0.824812\pi$
$912$	20.5847			0.681628
$913$	−1.44648			−0.0478715
$914$	−8.69146	+	38.0798i	−0.287488	+	1.25957i
$915$	−4.75340	+	2.28912i	−0.157142	+	0.0756758i
$916$	−47.4180	−	59.4602i	−1.56673	−	1.96462i
$917$	−6.62605	−	3.26168i	−0.218812	−	0.107710i
$918$	−0.959732	+	1.20347i	−0.0316759	+	0.0397203i
$919$	−0.921682	+	4.03815i	−0.0304035	+	0.133206i	−0.987852	−	0.155398i	$-0.950334\pi$
$919$	−0.921682	+	4.03815i	−0.0304035	+	0.133206i	0.957448	+	0.288604i	$0.0931912\pi$
$920$	13.0842	−	16.4070i	0.431373	−	0.540924i
$921$	0.851423	−	0.410024i	0.0280554	−	0.0135107i
$922$	−57.5752	−	72.1970i	−1.89614	−	2.37768i
$923$	−5.08091	−	2.44684i	−0.167240	−	0.0805387i
$924$	1.88393	−	7.93767i	0.0619768	−	0.261130i
$925$	−7.41041	+	3.56866i	−0.243653	+	0.117337i
$926$	−44.7574	−	21.5540i	−1.47082	−	0.708310i
$927$	−1.25550	−	5.50070i	−0.0412360	−	0.180667i
$928$	123.641	+	59.5425i	4.05873	+	1.95458i
$929$	−33.1824	+	41.6094i	−1.08868	+	1.36516i	−0.163098	+	0.986610i	$0.552149\pi$
$929$	−33.1824	+	41.6094i	−1.08868	+	1.36516i	−0.925581	+	0.378550i	$0.876423\pi$
$930$	6.23101			0.204323
$931$	−2.76780	+	11.2295i	−0.0907111	+	0.368033i
$932$	101.707			3.33153
$933$	−7.48642	+	9.38767i	−0.245094	+	0.307338i
$934$	56.6515	+	27.2819i	1.85369	+	0.892691i
$935$	0.00720571	+	0.0315703i	0.000235652	+	0.00103246i
$936$	−17.5843	−	8.46816i	−0.574761	−	0.276790i
$937$	44.6537	−	21.5041i	1.45877	−	0.702509i	0.474680	−	0.880158i	$-0.342564\pi$
$937$	44.6537	−	21.5041i	1.45877	−	0.702509i	0.984094	+	0.177650i	$0.0568493\pi$
$938$	78.6762	+	0.678964i	2.56887	+	0.0221689i
$939$	12.8396	+	6.18320i	0.419003	+	0.201781i
$940$	1.26770	+	1.58965i	0.0413479	+	0.0518487i
$941$	−20.4136	+	9.83069i	−0.665465	+	0.320471i	−0.735944	−	0.677042i	$-0.763262\pi$
$941$	−20.4136	+	9.83069i	−0.665465	+	0.320471i	0.0704790	+	0.997513i	$0.477547\pi$
$942$	10.1778	−	12.7625i	0.331609	−	0.415825i
$943$	9.22370	−	40.4117i	0.300365	−	1.31598i
$944$	−78.9395	+	98.9871i	−2.56926	+	3.22175i
$945$	−4.74732	+	2.23593i	−0.154430	+	0.0727347i
$946$	−3.01100	−	3.77568i	−0.0978961	−	0.122758i
$947$	−11.3709	+	5.47592i	−0.369503	+	0.177943i	−0.609415	−	0.792851i	$-0.708596\pi$
$947$	−11.3709	+	5.47592i	−0.369503	+	0.177943i	0.239912	+	0.970795i	$0.422881\pi$
$948$	13.4106	−	58.7557i	0.435556	−	1.90830i
$949$	9.55641			0.310214
$950$	21.5612			0.699537
$951$	−1.06547	+	4.66812i	−0.0345502	+	0.151374i
$952$	−2.87365	−	0.0247991i	−0.0931355	−	0.000803745i
$953$	3.68166	+	16.1304i	0.119261	+	0.522515i	0.998901	+	0.0468752i	$0.0149263\pi$
$953$	3.68166	+	16.1304i	0.119261	+	0.522515i	−0.879640	+	0.475640i	$0.842217\pi$
$954$	2.61747	+	11.4679i	0.0847436	+	0.371286i
$955$	−7.12411	−	8.93335i	−0.230531	−	0.289076i
$956$	−25.1103	−	31.4873i	−0.812125	−	1.01837i
$957$	−0.928931	−	4.06991i	−0.0300281	−	0.131562i
$958$	21.3128	+	93.3774i	0.688585	+	3.01689i
$959$	39.4215	+	19.4052i	1.27299	+	0.626628i
$960$	−2.06292	+	9.03822i	−0.0665803	+	0.291707i
$961$	5.04058			0.162599
$962$	4.61510			0.148797
$963$	2.47437	−	10.8409i	0.0797355	−	0.349344i
$964$	−128.310	+	61.7907i	−4.13258	+	1.99014i
$965$	2.52826	+	3.17034i	0.0813876	+	0.102057i
$966$	8.34167	−	35.1464i	0.268389	−	1.13082i
$967$	−30.3762	+	38.0905i	−0.976832	+	1.22491i	−0.00245326	+	0.999997i	$0.500781\pi$
$967$	−30.3762	+	38.0905i	−0.976832	+	1.22491i	−0.974379	+	0.224912i	$0.927791\pi$
$968$	−21.1959	+	92.8652i	−0.681261	+	2.98480i
$969$	−0.113325	+	0.142105i	−0.00364053	+	0.00456508i
$970$	−14.6004	+	7.03119i	−0.468791	+	0.225758i
$971$	−25.1086	−	31.4852i	−0.805773	−	1.01041i	−0.999569	−	0.0293652i	$-0.990651\pi$
$971$	−25.1086	−	31.4852i	−0.805773	−	1.01041i	0.193796	−	0.981042i	$-0.437920\pi$
$972$	−77.4510	−	37.2985i	−2.48424	−	1.19635i
$973$	5.87404	+	26.7999i	0.188313	+	0.859164i
$974$	48.3682	−	23.2929i	1.54982	−	0.746352i
$975$	3.95627	+	1.90524i	0.126702	+	0.0610165i
$976$	−41.8797	−	183.487i	−1.34054	−	5.87328i
$977$	−43.8870	−	21.1349i	−1.40407	−	0.676164i	−0.430087	−	0.902787i	$-0.641517\pi$
$977$	−43.8870	−	21.1349i	−1.40407	−	0.676164i	−0.973983	+	0.226623i	$0.927231\pi$
$978$	17.1241	−	21.4730i	0.547569	−	0.686630i
$979$	−1.94495			−0.0621608
$980$	−14.0204	−	7.05249i	−0.447865	−	0.225284i
$981$	26.3854			0.842420
$982$	−2.56677	+	3.21863i	−0.0819090	+	0.102711i
$983$	12.8611	+	6.19360i	0.410207	+	0.197545i	0.627595	−	0.778540i	$-0.284039\pi$
$983$	12.8611	+	6.19360i	0.410207	+	0.197545i	−0.217388	+	0.976085i	$0.569754\pi$
$984$	13.6261	+	59.6997i	0.434383	+	1.90316i
$985$	2.11485	+	1.01846i	0.0673847	+	0.0324508i
$986$	−2.12245	+	1.02212i	−0.0675925	+	0.0325508i
$987$	1.96011	+	0.964862i	0.0623908	+	0.0307119i
$988$	−7.92290	−	3.81547i	−0.252061	−	0.121386i
$989$	−9.69064	−	12.1517i	−0.308144	−	0.386401i
$990$	−1.41859	+	0.683156i	−0.0450857	+	0.0217121i
$991$	1.52466	−	1.91186i	0.0484324	−	0.0607323i	−0.757025	−	0.653386i	$-0.773348\pi$
$991$	1.52466	−	1.91186i	0.0484324	−	0.0607323i	0.805458	+	0.592653i	$0.201920\pi$
$992$	−25.4418	+	111.468i	−0.807777	+	3.53910i
$993$	12.1409	−	15.2242i	0.385280	−	0.483126i
$994$	−8.64415	−	39.4382i	−0.274176	−	1.25090i
$995$	−2.95604	−	3.70676i	−0.0937128	−	0.117512i
$996$	9.92627	−	4.78024i	0.314526	−	0.151468i
$997$	−10.3020	+	45.1358i	−0.326266	+	1.42947i	0.499921	+	0.866071i	$0.333362\pi$
$997$	−10.3020	+	45.1358i	−0.326266	+	1.42947i	−0.826187	+	0.563395i	$0.809495\pi$
$998$	50.0449			1.58414
$999$	8.03012			0.254062

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.92.1	✓	174
49.8	even	7	inner	637.2.w.b.547.1	yes	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.1	✓	174	1.1	even	1	trivial
637.2.w.b.547.1	yes	174	49.8	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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.68715 + 2.11563i) q^{2} +(-0.820369 - 0.395069i) q^{3} +(-1.18434 - 5.18892i) q^{4} +(-0.379531 - 0.182773i) q^{5} +(2.21991 - 1.06905i) q^{6} +(-1.63169 - 2.08269i) q^{7} +(8.09995 + 3.90073i) q^{8} +(-1.35354 - 1.69729i) q^{9} +O(q^{10})\)	\(q+(-1.68715 + 2.11563i) q^{2} +(-0.820369 - 0.395069i) q^{3} +(-1.18434 - 5.18892i) q^{4} +(-0.379531 - 0.182773i) q^{5} +(2.21991 - 1.06905i) q^{6} +(-1.63169 - 2.08269i) q^{7} +(8.09995 + 3.90073i) q^{8} +(-1.35354 - 1.69729i) q^{9} +(1.02701 - 0.494580i) q^{10} +(0.396707 - 0.497454i) q^{11} +(-1.07839 + 4.72472i) q^{12} +(0.623490 - 0.781831i) q^{13} +(7.15910 + 0.0617819i) q^{14} +(0.239148 + 0.299882i) q^{15} +(-12.3278 + 5.93675i) q^{16} +(0.0268843 - 0.117788i) q^{17} +5.87447 q^{18} +1.65223 q^{19} +(-0.498899 + 2.18582i) q^{20} +(0.515779 + 2.35320i) q^{21} +(0.383122 + 1.67856i) q^{22} +(1.23304 + 5.40231i) q^{23} +(-5.10389 - 6.40008i) q^{24} +(-3.00681 - 3.77042i) q^{25} +(0.602139 + 2.63814i) q^{26} +(1.04770 + 4.59028i) q^{27} +(-8.87444 + 10.9333i) q^{28} +(-1.60341 + 7.02499i) q^{29} -1.03792 q^{30} -6.00338 q^{31} +(4.23791 - 18.5675i) q^{32} +(-0.521974 + 0.251370i) q^{33} +(0.203837 + 0.255604i) q^{34} +(0.238617 + 1.08867i) q^{35} +(-7.20405 + 9.03360i) q^{36} +(0.379513 - 1.66275i) q^{37} +(-2.78757 + 3.49550i) q^{38} +(-0.820369 + 0.395069i) q^{39} +(-2.36124 - 2.96090i) q^{40} +(-6.73965 - 3.24564i) q^{41} +(-5.84869 - 2.87902i) q^{42} +(-2.52712 + 1.21700i) q^{43} +(-3.05108 - 1.46933i) q^{44} +(0.203494 + 0.891565i) q^{45} +(-13.5096 - 6.50588i) q^{46} +(0.565426 - 0.709021i) q^{47} +12.4588 q^{48} +(-1.67519 + 6.79660i) q^{49} +13.0498 q^{50} +(-0.0685894 + 0.0860084i) q^{51} +(-4.79528 - 2.30929i) q^{52} +(0.445566 + 1.95215i) q^{53} +(-11.4789 - 5.52797i) q^{54} +(-0.241483 + 0.116292i) q^{55} +(-5.09257 - 23.2345i) q^{56} +(-1.35544 - 0.652744i) q^{57} +(-12.1570 - 15.2445i) q^{58} +(8.33680 - 4.01479i) q^{59} +(1.27283 - 1.59608i) q^{60} +(-3.06075 + 13.4100i) q^{61} +(10.1286 - 12.7009i) q^{62} +(-1.32637 + 5.58846i) q^{63} +(15.0696 + 18.8967i) q^{64} +(-0.379531 + 0.182773i) q^{65} +(0.348848 - 1.52840i) q^{66} +10.9897 q^{67} -0.643032 q^{68} +(1.12273 - 4.91902i) q^{69} +(-2.70581 - 1.33194i) q^{70} +(-1.25488 - 5.49800i) q^{71} +(-4.34297 - 19.0278i) q^{72} +(5.95832 + 7.47150i) q^{73} +(2.87747 + 3.60823i) q^{74} +(0.977118 + 4.28103i) q^{75} +(-1.95680 - 8.57328i) q^{76} +(-1.68334 - 0.0145270i) q^{77} +(0.548272 - 2.40213i) q^{78} -12.4358 q^{79} +5.76386 q^{80} +(-0.495248 + 2.16982i) q^{81} +(18.2374 - 8.78267i) q^{82} +(-1.41743 - 1.77740i) q^{83} +(11.5997 - 5.46332i) q^{84} +(-0.0317318 + 0.0397905i) q^{85} +(1.68893 - 7.39970i) q^{86} +(4.09074 - 5.12963i) q^{87} +(5.15374 - 2.48191i) q^{88} +(-1.90589 - 2.38991i) q^{89} +(-2.22954 - 1.07369i) q^{90} +(-2.64565 - 0.0228316i) q^{91} +(26.5718 - 12.7963i) q^{92} +(4.92499 + 2.37175i) q^{93} +(0.546063 + 2.39246i) q^{94} +(-0.627072 - 0.301982i) q^{95} +(-10.8121 + 13.5579i) q^{96} -14.2165 q^{97} +(-11.5527 - 15.0110i) q^{98} -1.38128 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Introduction

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