LMFDB - Embedded newform 637.2.w.a.92.10

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:	$162$
Relative dimension:	$27$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.10
Character	$\chi$	$=$	637.92
Dual form			637.2.w.a.547.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.706465 + 0.885879i) q^{2} +(1.43197 + 0.689598i) q^{3} +(0.159353 + 0.698171i) q^{4} +(3.16254 + 1.52300i) q^{5} +(-1.62253 + 0.781371i) q^{6} +(2.63659 + 0.220013i) q^{7} +(-2.77282 - 1.33532i) q^{8} +(-0.295490 - 0.370533i) q^{9} +O(q^{10})$	\(q+(-0.706465 + 0.885879i) q^{2} +(1.43197 + 0.689598i) q^{3} +(0.159353 + 0.698171i) q^{4} +(3.16254 + 1.52300i) q^{5} +(-1.62253 + 0.781371i) q^{6} +(2.63659 + 0.220013i) q^{7} +(-2.77282 - 1.33532i) q^{8} +(-0.295490 - 0.370533i) q^{9} +(-3.58341 + 1.72568i) q^{10} +(-0.749163 + 0.939421i) q^{11} +(-0.253269 + 1.10965i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-2.05756 + 2.18027i) q^{14} +(3.47839 + 4.36176i) q^{15} +(1.85141 - 0.891593i) q^{16} +(-0.571898 + 2.50565i) q^{17} +0.537000 q^{18} +1.98268 q^{19} +(-0.559353 + 2.45068i) q^{20} +(3.62378 + 2.13324i) q^{21} +(-0.302956 - 1.32734i) q^{22} +(-0.880456 - 3.85753i) q^{23} +(-3.04974 - 3.82426i) q^{24} +(4.56466 + 5.72391i) q^{25} +(-0.252134 - 1.10467i) q^{26} +(-1.22861 - 5.38290i) q^{27} +(0.266542 + 1.87585i) q^{28} +(1.40420 - 6.15220i) q^{29} -6.32135 q^{30} -1.50177 q^{31} +(0.851543 - 3.73085i) q^{32} +(-1.72060 + 0.828597i) q^{33} +(-1.81568 - 2.27679i) q^{34} +(8.00322 + 4.71131i) q^{35} +(0.211608 - 0.265348i) q^{36} +(1.34612 - 5.89774i) q^{37} +(-1.40070 + 1.75642i) q^{38} +(-1.43197 + 0.689598i) q^{39} +(-6.73544 - 8.44598i) q^{40} +(-3.61364 - 1.74024i) q^{41} +(-4.44986 + 1.70318i) q^{42} +(-2.88154 + 1.38768i) q^{43} +(-0.775258 - 0.373345i) q^{44} +(-0.370177 - 1.62185i) q^{45} +(4.03932 + 1.94523i) q^{46} +(-3.98252 + 4.99393i) q^{47} +3.26600 q^{48} +(6.90319 + 1.16017i) q^{49} -8.29547 q^{50} +(-2.54683 + 3.19362i) q^{51} +(-0.645207 - 0.310715i) q^{52} +(1.36599 + 5.98480i) q^{53} +(5.63657 + 2.71443i) q^{54} +(-3.79999 + 1.82998i) q^{55} +(-7.01698 - 4.13074i) q^{56} +(2.83914 + 1.36726i) q^{57} +(4.45809 + 5.59026i) q^{58} +(-2.14330 + 1.03216i) q^{59} +(-2.49096 + 3.12357i) q^{60} +(-2.22366 + 9.74250i) q^{61} +(1.06095 - 1.33039i) q^{62} +(-0.697563 - 1.04195i) q^{63} +(5.26593 + 6.60327i) q^{64} +(-3.16254 + 1.52300i) q^{65} +(0.481506 - 2.10962i) q^{66} +14.3417 q^{67} -1.84050 q^{68} +(1.39936 - 6.13101i) q^{69} +(-9.82765 + 3.76151i) q^{70} +(-2.28577 - 10.0146i) q^{71} +(0.324560 + 1.42199i) q^{72} +(-6.85036 - 8.59008i) q^{73} +(4.27369 + 5.35904i) q^{74} +(2.58925 + 11.3442i) q^{75} +(0.315947 + 1.38425i) q^{76} +(-2.18192 + 2.31204i) q^{77} +(0.400733 - 1.75573i) q^{78} -7.74632 q^{79} +7.21305 q^{80} +(1.63633 - 7.16923i) q^{81} +(4.09455 - 1.97183i) q^{82} +(3.00375 + 3.76659i) q^{83} +(-0.911903 + 2.86996i) q^{84} +(-5.62474 + 7.05321i) q^{85} +(0.806393 - 3.53304i) q^{86} +(6.25331 - 7.84141i) q^{87} +(3.33172 - 1.60447i) q^{88} +(-2.59199 - 3.25026i) q^{89} +(1.69828 + 0.817850i) q^{90} +(-1.81590 + 1.92419i) q^{91} +(2.55291 - 1.22942i) q^{92} +(-2.15049 - 1.03562i) q^{93} +(-1.61050 - 7.05607i) q^{94} +(6.27031 + 3.01962i) q^{95} +(3.79217 - 4.75523i) q^{96} -9.89627 q^{97} +(-5.90463 + 5.29577i) q^{98} +0.569456 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) $ 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * 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 $

$2$	−0.706465	+	0.885879i	−0.499546	+	0.626411i	−0.966127	−	0.258068i	$-0.916914\pi$
$2$	−0.706465	+	0.885879i	−0.499546	+	0.626411i	0.466581	+	0.884479i	$0.345486\pi$
$3$	1.43197	+	0.689598i	0.826746	+	0.398140i	0.798894	−	0.601472i	$-0.205419\pi$
$3$	1.43197	+	0.689598i	0.826746	+	0.398140i	0.0278520	+	0.999612i	$0.491133\pi$
$4$	0.159353	+	0.698171i	0.0796765	+	0.349085i
$5$	3.16254	+	1.52300i	1.41433	+	0.681105i	0.976012	−	0.217716i	$-0.0698605\pi$
$5$	3.16254	+	1.52300i	1.41433	+	0.681105i	0.438317	+	0.898821i	$0.355575\pi$
$6$	−1.62253	+	0.781371i	−0.662397	+	0.318993i
$7$	2.63659	+	0.220013i	0.996536	+	0.0831570i
$7$	2.63659	+	0.220013i	0.996536	+	0.0831570i
$8$	−2.77282	−	1.33532i	−0.980338	−	0.472106i
$9$	−0.295490	−	0.370533i	−0.0984966	−	0.123511i
$10$	−3.58341	+	1.72568i	−1.13317	+	0.545708i
$11$	−0.749163	+	0.939421i	−0.225881	+	0.283246i	−0.881838	−	0.471552i	$-0.843694\pi$
$11$	−0.749163	+	0.939421i	−0.225881	+	0.283246i	0.655957	+	0.754798i	$0.272265\pi$
$12$	−0.253269	+	1.10965i	−0.0731126	+	0.320327i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$14$	−2.05756	+	2.18027i	−0.549906	+	0.582701i
$15$	3.47839	+	4.36176i	0.898115	+	1.12620i
$16$	1.85141	−	0.891593i	0.462853	−	0.222898i
$17$	−0.571898	+	2.50565i	−0.138706	+	0.607709i	0.857015	+	0.515292i	$0.172316\pi$
$17$	−0.571898	+	2.50565i	−0.138706	+	0.607709i	−0.995720	+	0.0924172i	$0.970541\pi$
$18$	0.537000			0.126572
$19$	1.98268			0.454859			0.227430	−	0.973795i	$-0.426968\pi$
$19$	1.98268			0.454859			0.227430	+	0.973795i	$0.426968\pi$
$20$	−0.559353	+	2.45068i	−0.125075	+	0.547990i
$21$	3.62378	+	2.13324i	0.790774	+	0.465510i
$22$	−0.302956	−	1.32734i	−0.0645904	−	0.282989i
$23$	−0.880456	−	3.85753i	−0.183588	−	0.804351i	−0.979904	−	0.199470i	$-0.936078\pi$
$23$	−0.880456	−	3.85753i	−0.183588	−	0.804351i	0.796316	−	0.604881i	$-0.206779\pi$
$24$	−3.04974	−	3.82426i	−0.622526	−	0.780623i
$25$	4.56466	+	5.72391i	0.912933	+	1.14478i
$26$	−0.252134	−	1.10467i	−0.0494476	−	0.216644i
$27$	−1.22861	−	5.38290i	−0.236446	−	1.03594i
$28$	0.266542	+	1.87585i	0.0503716	+	0.354502i
$29$	1.40420	−	6.15220i	0.260753	−	1.14243i	−0.659683	−	0.751544i	$-0.729310\pi$
$29$	1.40420	−	6.15220i	0.260753	−	1.14243i	0.920437	−	0.390891i	$-0.127833\pi$
$30$	−6.32135			−1.15412
$31$	−1.50177			−0.269727			−0.134863	−	0.990864i	$-0.543060\pi$
$31$	−1.50177			−0.269727			−0.134863	+	0.990864i	$0.543060\pi$
$32$	0.851543	−	3.73085i	0.150533	−	0.659528i
$33$	−1.72060	+	0.828597i	−0.299518	+	0.144240i
$34$	−1.81568	−	2.27679i	−0.311386	−	0.390465i
$35$	8.00322	+	4.71131i	1.35279	+	0.796357i
$36$	0.211608	−	0.265348i	0.0352680	−	0.0442247i
$37$	1.34612	−	5.89774i	0.221301	−	0.969582i	−0.735200	−	0.677851i	$-0.762912\pi$
$37$	1.34612	−	5.89774i	0.221301	−	0.969582i	0.956500	−	0.291731i	$-0.0942313\pi$
$38$	−1.40070	+	1.75642i	−0.227223	+	0.284929i
$39$	−1.43197	+	0.689598i	−0.229298	+	0.110424i
$40$	−6.73544	−	8.44598i	−1.06497	−	1.33543i
$41$	−3.61364	−	1.74024i	−0.564356	−	0.271780i	0.129877	−	0.991530i	$-0.458542\pi$
$41$	−3.61364	−	1.74024i	−0.564356	−	0.271780i	−0.694233	+	0.719751i	$0.744256\pi$
$42$	−4.44986	+	1.70318i	−0.686629	+	0.262806i
$43$	−2.88154	+	1.38768i	−0.439431	+	0.211619i	−0.640500	−	0.767958i	$-0.721273\pi$
$43$	−2.88154	+	1.38768i	−0.439431	+	0.211619i	0.201069	+	0.979577i	$0.435558\pi$
$44$	−0.775258	−	0.373345i	−0.116875	−	0.0562838i
$45$	−0.370177	−	1.62185i	−0.0551828	−	0.241772i
$46$	4.03932	+	1.94523i	0.595565	+	0.286809i
$47$	−3.98252	+	4.99393i	−0.580911	+	0.728439i	−0.982268	−	0.187483i	$-0.939967\pi$
$47$	−3.98252	+	4.99393i	−0.580911	+	0.728439i	0.401357	+	0.915922i	$0.368539\pi$
$48$	3.26600			0.471406
$49$	6.90319	+	1.16017i	0.986170	+	0.165738i
$50$	−8.29547			−1.17316
$51$	−2.54683	+	3.19362i	−0.356627	+	0.447197i
$52$	−0.645207	−	0.310715i	−0.0894741	−	0.0430885i
$53$	1.36599	+	5.98480i	0.187633	+	0.822076i	0.977860	+	0.209261i	$0.0671057\pi$
$53$	1.36599	+	5.98480i	0.187633	+	0.822076i	−0.790227	+	0.612815i	$0.790037\pi$
$54$	5.63657	+	2.71443i	0.767040	+	0.369387i
$55$	−3.79999	+	1.82998i	−0.512391	+	0.246754i
$56$	−7.01698	−	4.13074i	−0.937684	−	0.551993i
$57$	2.83914	+	1.36726i	0.376053	+	0.181097i
$58$	4.45809	+	5.59026i	0.585376	+	0.734038i
$59$	−2.14330	+	1.03216i	−0.279034	+	0.134375i	−0.568167	−	0.822913i	$-0.692347\pi$
$59$	−2.14330	+	1.03216i	−0.279034	+	0.134375i	0.289133	+	0.957289i	$0.406633\pi$
$60$	−2.49096	+	3.12357i	−0.321582	+	0.403251i
$61$	−2.22366	+	9.74250i	−0.284711	+	1.24740i	0.606966	+	0.794728i	$0.292386\pi$
$61$	−2.22366	+	9.74250i	−0.284711	+	1.24740i	−0.891677	+	0.452672i	$0.850471\pi$
$62$	1.06095	−	1.33039i	0.134741	−	0.168960i
$63$	−0.697563	−	1.04195i	−0.0878847	−	0.131274i
$64$	5.26593	+	6.60327i	0.658242	+	0.825409i
$65$	−3.16254	+	1.52300i	−0.392264	+	0.188905i
$66$	0.481506	−	2.10962i	0.0592693	−	0.259676i
$67$	14.3417			1.75211			0.876057	−	0.482208i	$-0.160165\pi$
$67$	14.3417			1.75211			0.876057	+	0.482208i	$0.160165\pi$
$68$	−1.84050			−0.223194
$69$	1.39936	−	6.13101i	0.168464	−	0.738087i
$70$	−9.82765	+	3.76151i	−1.17463	+	0.449587i
$71$	−2.28577	−	10.0146i	−0.271271	−	1.18852i	−0.908515	−	0.417853i	$-0.862783\pi$
$71$	−2.28577	−	10.0146i	−0.271271	−	1.18852i	0.637244	−	0.770662i	$-0.280074\pi$
$72$	0.324560	+	1.42199i	0.0382498	+	0.167583i
$73$	−6.85036	−	8.59008i	−0.801774	−	1.00539i	−0.999683	−	0.0251725i	$-0.991986\pi$
$73$	−6.85036	−	8.59008i	−0.801774	−	1.00539i	0.197909	−	0.980220i	$-0.436585\pi$
$74$	4.27369	+	5.35904i	0.496807	+	0.622976i
$75$	2.58925	+	11.3442i	0.298980	+	1.30992i
$76$	0.315947	+	1.38425i	0.0362416	+	0.158785i
$77$	−2.18192	+	2.31204i	−0.248653	+	0.263481i
$78$	0.400733	−	1.75573i	0.0453741	−	0.198797i
$79$	−7.74632			−0.871529			−0.435764	−	0.900061i	$-0.643522\pi$
$79$	−7.74632			−0.871529			−0.435764	+	0.900061i	$0.643522\pi$
$80$	7.21305			0.806444
$81$	1.63633	−	7.16923i	0.181815	−	0.796582i
$82$	4.09455	−	1.97183i	0.452168	−	0.217752i
$83$	3.00375	+	3.76659i	0.329705	+	0.413437i	0.918860	−	0.394583i	$-0.129111\pi$
$83$	3.00375	+	3.76659i	0.329705	+	0.413437i	−0.589156	+	0.808020i	$0.700539\pi$
$84$	−0.911903	+	2.86996i	−0.0994968	+	0.313138i
$85$	−5.62474	+	7.05321i	−0.610089	+	0.765028i
$86$	0.806393	−	3.53304i	0.0869556	−	0.380978i
$87$	6.25331	−	7.84141i	0.670425	−	0.840687i
$88$	3.33172	−	1.60447i	0.355162	−	0.171037i
$89$	−2.59199	−	3.25026i	−0.274751	−	0.344527i	0.625242	−	0.780431i	$-0.285000\pi$
$89$	−2.59199	−	3.25026i	−0.274751	−	0.344527i	−0.899993	+	0.435904i	$0.856429\pi$
$90$	1.69828	+	0.817850i	0.179015	+	0.0862090i
$91$	−1.81590	+	1.92419i	−0.190358	+	0.201710i
$92$	2.55291	−	1.22942i	0.266159	−	0.128176i
$93$	−2.15049	−	1.03562i	−0.222995	−	0.107389i
$94$	−1.61050	−	7.05607i	−0.166111	−	0.727778i
$95$	6.27031	+	3.01962i	0.643320	+	0.309807i
$96$	3.79217	−	4.75523i	0.387037	−	0.485329i
$97$	−9.89627			−1.00481			−0.502407	−	0.864631i	$-0.667552\pi$
$97$	−9.89627			−1.00481			−0.502407	+	0.864631i	$0.667552\pi$
$98$	−5.90463	+	5.29577i	−0.596457	+	0.534954i
$99$	0.569456			0.0572325
$100$	−3.26887	+	4.09904i	−0.326887	+	0.409904i
$101$	0.739132	+	0.355947i	0.0735464	+	0.0354181i	0.470295	−	0.882509i	$-0.344147\pi$
$101$	0.739132	+	0.355947i	0.0735464	+	0.0354181i	−0.396749	+	0.917927i	$0.629862\pi$
$102$	−1.02992	−	4.51237i	−0.101977	−	0.446791i
$103$	2.54477	+	1.22550i	0.250744	+	0.120752i	0.555034	−	0.831827i	$-0.312705\pi$
$103$	2.54477	+	1.22550i	0.250744	+	0.120752i	−0.304291	+	0.952579i	$0.598419\pi$
$104$	2.77282	−	1.33532i	0.271897	−	0.130939i
$105$	8.21143	+	12.2654i	0.801353	+	1.19699i
$106$	−6.26683	−	3.01795i	−0.608689	−	0.293129i
$107$	−11.6670	−	14.6300i	−1.12789	−	1.41433i	−0.897377	−	0.441265i	$-0.854530\pi$
$107$	−11.6670	−	14.6300i	−1.12789	−	1.41433i	−0.230516	−	0.973069i	$-0.574041\pi$
$108$	3.56240	−	1.71556i	0.342792	−	0.165080i
$109$	3.18168	−	3.98970i	0.304749	−	0.382144i	−0.605749	−	0.795656i	$-0.707127\pi$
$109$	3.18168	−	3.98970i	0.304749	−	0.382144i	0.910499	+	0.413512i	$0.135698\pi$
$110$	1.06342	−	4.65915i	0.101393	−	0.444232i
$111$	5.99467	−	7.51707i	0.568988	−	0.713489i
$112$	5.07757	−	1.94343i	0.479786	−	0.183637i
$113$	1.67002	+	2.09414i	0.157102	+	0.197000i	0.854153	−	0.520022i	$-0.174076\pi$
$113$	1.67002	+	2.09414i	0.157102	+	0.197000i	−0.697051	+	0.717022i	$0.745505\pi$
$114$	−3.21697	+	1.54921i	−0.301297	+	0.145097i
$115$	3.09053	−	13.5405i	0.288194	−	1.26266i
$116$	4.51905			0.419583
$117$	0.473929			0.0438148
$118$	0.599798	−	2.62789i	0.0552159	−	0.241916i
$119$	−2.05913	+	6.48054i	−0.188760	+	0.594070i
$120$	−3.82059	−	16.7391i	−0.348771	−	1.52806i
$121$	2.12646	+	9.31665i	0.193315	+	0.846968i
$122$	−7.05974	−	8.85263i	−0.639159	−	0.801480i
$123$	−3.97455	−	4.98392i	−0.358373	−	0.449385i
$124$	−0.239312	−	1.04850i	−0.0214909	−	0.0941576i
$125$	1.81301	+	7.94332i	0.162161	+	0.710472i
$126$	1.41585	+	0.118147i	0.126134	+	0.0105254i
$127$	−2.71548	+	11.8973i	−0.240960	+	1.05572i	0.699185	+	0.714941i	$0.253547\pi$
$127$	−2.71548	+	11.8973i	−0.240960	+	1.05572i	−0.940145	+	0.340775i	$0.889311\pi$
$128$	−1.91630			−0.169378
$129$	−5.08321			−0.447551
$130$	0.885030	−	3.87757i	0.0776222	−	0.340085i
$131$	−6.70074	+	3.22690i	−0.585446	+	0.281936i	−0.703068	−	0.711122i	$-0.748187\pi$
$131$	−6.70074	+	3.22690i	−0.585446	+	0.281936i	0.117622	+	0.993058i	$0.462473\pi$
$132$	−0.852685	−	1.06923i	−0.0742167	−	0.0930648i
$133$	5.22752	+	0.436216i	0.453284	+	0.0378247i
$134$	−10.1319	+	12.7050i	−0.875262	+	1.09754i
$135$	4.31261	−	18.8948i	0.371170	−	1.62620i
$136$	4.93160	−	6.18404i	0.422882	−	0.530277i
$137$	3.89407	−	1.87528i	0.332692	−	0.160216i	−0.260078	−	0.965588i	$-0.583748\pi$
$137$	3.89407	−	1.87528i	0.332692	−	0.160216i	0.592771	+	0.805371i	$0.298034\pi$
$138$	4.44273	+	5.57101i	0.378191	+	0.474236i
$139$	15.7314	+	7.57585i	1.33432	+	0.642575i	0.958758	−	0.284222i	$-0.0917353\pi$
$139$	15.7314	+	7.57585i	1.33432	+	0.642575i	0.375562	+	0.926797i	$0.377450\pi$
$140$	−2.01396	+	6.33838i	−0.170211	+	0.535691i
$141$	−9.14664	+	4.40479i	−0.770286	+	0.370950i
$142$	10.4865	+	5.05006i	0.880011	+	0.423791i
$143$	−0.267373	−	1.17144i	−0.0223589	−	0.0979606i
$144$	−0.877438	−	0.422552i	−0.0731198	−	0.0352127i
$145$	13.8106	−	17.3180i	1.14691	−	1.43818i
$146$	12.4493			1.03031
$147$	9.08508	+	6.42174i	0.749325	+	0.529657i
$148$	4.33214			0.356099
$149$	−9.09664	+	11.4068i	−0.745226	+	0.934483i	−0.999467	−	0.0326576i	$-0.989603\pi$
$149$	−9.09664	+	11.4068i	−0.745226	+	0.934483i	0.254241	+	0.967141i	$0.418174\pi$
$150$	−11.8788	−	5.72054i	−0.969902	−	0.467080i
$151$	−4.82898	−	21.1571i	−0.392977	−	1.72174i	−0.654074	−	0.756430i	$-0.726942\pi$
$151$	−4.82898	−	21.1571i	−0.392977	−	1.72174i	0.261098	−	0.965312i	$-0.415915\pi$
$152$	−5.49762	−	2.64751i	−0.445916	−	0.214742i
$153$	1.09741	−	0.528487i	0.0887207	−	0.0427256i
$154$	−0.506739	−	3.56629i	−0.0408342	−	0.287380i
$155$	−4.74941	−	2.28720i	−0.381482	−	0.183712i
$156$	−0.709645	−	0.889867i	−0.0568171	−	0.0712464i
$157$	7.45729	−	3.59124i	0.595156	−	0.286612i	−0.111956	−	0.993713i	$-0.535712\pi$
$157$	7.45729	−	3.59124i	0.595156	−	0.286612i	0.707113	+	0.707101i	$0.249997\pi$
$158$	5.47250	−	6.86230i	0.435369	−	0.545935i
$159$	−2.17105	+	9.51201i	−0.172176	+	0.754352i
$160$	8.37512	−	10.5021i	0.662111	−	0.830261i
$161$	−1.47269	−	10.3644i	−0.116065	−	0.816831i
$162$	5.19506	+	6.51440i	0.408163	+	0.511820i
$163$	16.0458	−	7.72724i	1.25680	−	0.605244i	0.317476	−	0.948266i	$-0.397165\pi$
$163$	16.0458	−	7.72724i	1.25680	−	0.605244i	0.939327	+	0.343022i	$0.111451\pi$
$164$	0.639139	−	2.80025i	0.0499084	−	0.218663i
$165$	−6.70341			−0.521860
$166$	−5.45879			−0.423684
$167$	0.424120	−	1.85819i	0.0328194	−	0.143791i	−0.955864	−	0.293811i	$-0.905076\pi$
$167$	0.424120	−	1.85819i	0.0328194	−	0.143791i	0.988683	+	0.150019i	$0.0479336\pi$
$168$	−7.19953	−	10.7540i	−0.555456	−	0.829687i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−2.27460	−	9.96568i	−0.174454	−	0.764333i
$171$	−0.585863	−	0.734649i	−0.0448021	−	0.0561800i
$172$	−1.42802	−	1.79068i	−0.108885	−	0.136538i
$173$	2.88240	+	12.6286i	0.219145	+	0.960136i	0.958112	+	0.286394i	$0.0924567\pi$
$173$	2.88240	+	12.6286i	0.219145	+	0.960136i	−0.738967	+	0.673741i	$0.764686\pi$
$174$	2.52879	+	11.0794i	0.191707	+	0.839924i
$175$	10.7758	+	16.0959i	0.814574	+	1.21673i
$176$	−0.549429	+	2.40720i	−0.0414148	+	0.181450i
$177$	−3.78090			−0.284190
$178$	4.71049			0.353066
$179$	3.58125	−	15.6905i	0.267675	−	1.17276i	−0.645034	−	0.764154i	$-0.723157\pi$
$179$	3.58125	−	15.6905i	0.267675	−	1.17276i	0.912710	−	0.408609i	$-0.133986\pi$
$180$	1.07334	−	0.516894i	0.0800022	−	0.0385270i
$181$	15.0412	+	18.8611i	1.11801	+	1.40194i	0.905275	+	0.424825i	$0.139665\pi$
$181$	15.0412	+	18.8611i	1.11801	+	1.40194i	0.212732	+	0.977111i	$0.431764\pi$
$182$	−0.421732	−	2.96804i	−0.0312609	−	0.220006i
$183$	−9.90262	+	12.4175i	−0.732023	+	0.917928i
$184$	−2.70968	+	11.8719i	−0.199761	+	0.875208i
$185$	13.2394	−	16.6017i	0.973379	−	1.22058i
$186$	2.43668	−	1.17344i	0.178666	−	0.0860410i
$187$	−1.92541	−	2.41439i	−0.140800	−	0.176558i
$188$	−4.12124	−	1.98468i	−0.300572	−	0.144748i
$189$	−2.05504	−	14.4628i	−0.149482	−	1.05201i
$190$	−7.10478	+	3.42148i	−0.515435	+	0.248220i
$191$	−1.17949	−	0.568014i	−0.0853451	−	0.0411000i	0.390724	−	0.920508i	$-0.372225\pi$
$191$	−1.17949	−	0.568014i	−0.0853451	−	0.0411000i	−0.476069	+	0.879408i	$0.657939\pi$
$192$	2.98703	+	13.0870i	0.215570	+	0.944476i
$193$	18.6284	+	8.97097i	1.34090	+	0.645745i	0.960294	−	0.278991i	$-0.0900000\pi$
$193$	18.6284	+	8.97097i	1.34090	+	0.645745i	0.380609	+	0.924736i	$0.375714\pi$
$194$	6.99136	−	8.76689i	0.501951	−	0.629426i
$195$	−5.57890			−0.399513
$196$	0.290050	+	5.00448i	0.0207178	+	0.357463i
$197$	−22.0137			−1.56841			−0.784205	−	0.620502i	$-0.786929\pi$
$197$	−22.0137			−1.56841			−0.784205	+	0.620502i	$0.786929\pi$
$198$	−0.402301	+	0.504469i	−0.0285903	+	0.0358511i
$199$	15.2183	+	7.32875i	1.07880	+	0.519521i	0.886932	−	0.461900i	$-0.152832\pi$
$199$	15.2183	+	7.32875i	1.07880	+	0.519521i	0.191865	+	0.981421i	$0.438546\pi$
$200$	−5.01374	−	21.9666i	−0.354525	−	1.55327i
$201$	20.5368	+	9.88999i	1.44855	+	0.697586i
$202$	−0.837497	+	0.403317i	−0.0589261	+	0.0283773i
$203$	5.05586	−	15.9119i	0.354852	−	1.11679i
$204$	−2.63554	−	1.26921i	−0.184525	−	0.0888624i
$205$	−8.77790	−	11.0071i	−0.613075	−	0.768771i
$206$	−2.88343	+	1.38859i	−0.200898	+	0.0967475i
$207$	−1.16917	+	1.46610i	−0.0812633	+	0.101901i
$208$	−0.457261	+	2.00339i	−0.0317054	+	0.138910i
$209$	−1.48535	+	1.86258i	−0.102744	+	0.128837i
$210$	−16.6668	−	1.39078i	−1.15012	−	0.0959727i
$211$	0.927179	+	1.16265i	0.0638296	+	0.0800398i	0.812721	−	0.582653i	$-0.197985\pi$
$211$	0.927179	+	1.16265i	0.0638296	+	0.0800398i	−0.748892	+	0.662692i	$0.769414\pi$
$212$	−3.96074	+	1.90739i	−0.272025	+	0.131000i
$213$	3.63291	−	15.9168i	0.248923	−	1.09060i
$214$	21.2027			1.44939
$215$	−11.2264			−0.765634
$216$	−3.78117	+	16.5664i	−0.257276	+	1.12720i
$217$	−3.95956	−	0.330409i	−0.268792	−	0.0224297i
$218$	1.28665	+	5.63716i	0.0871426	+	0.381797i
$219$	−3.88578	−	17.0247i	−0.262576	−	1.15042i
$220$	−1.88318	−	2.36143i	−0.126964	−	0.159208i
$221$	−1.60242	−	2.00937i	−0.107791	−	0.135165i
$222$	2.42420	+	10.6211i	0.162701	+	0.712841i
$223$	−4.88830	−	21.4170i	−0.327345	−	1.43419i	−0.824171	−	0.566341i	$-0.808359\pi$
$223$	−4.88830	−	21.4170i	−0.327345	−	1.43419i	0.496827	−	0.867850i	$-0.334499\pi$
$224$	3.06600	−	9.64938i	0.204856	−	0.644726i
$225$	0.772082	−	3.38271i	0.0514722	−	0.225514i
$226$	−3.03497			−0.201883
$227$	11.3290			0.751930			0.375965	−	0.926634i	$-0.377311\pi$
$227$	11.3290			0.751930			0.375965	+	0.926634i	$0.377311\pi$
$228$	−0.502154	+	2.20008i	−0.0332559	+	0.145704i
$229$	12.0478	−	5.80189i	0.796138	−	0.383400i	0.00883105	−	0.999961i	$-0.497189\pi$
$229$	12.0478	−	5.80189i	0.796138	−	0.383400i	0.787307	+	0.616561i	$0.211475\pi$
$230$	9.81190	+	12.3037i	0.646978	+	0.811284i
$231$	−4.71881	+	1.80611i	−0.310475	+	0.118834i
$232$	−12.1087	+	15.1839i	−0.794977	+	0.996869i
$233$	−2.31367	+	10.1368i	−0.151573	+	0.664086i	0.840855	+	0.541261i	$0.182053\pi$
$233$	−2.31367	+	10.1368i	−0.151573	+	0.664086i	−0.992428	+	0.122826i	$0.960804\pi$
$234$	−0.334814	+	0.419844i	−0.0218875	+	0.0274460i
$235$	−20.2006	+	9.72810i	−1.31774	+	0.634591i
$236$	−1.06216	−	1.33191i	−0.0691409	−	0.0867000i
$237$	−11.0925	−	5.34185i	−0.720533	−	0.346990i
$238$	−4.28627	−	6.40242i	−0.277837	−	0.415007i
$239$	5.18254	−	2.49578i	0.335231	−	0.161439i	−0.258694	−	0.965959i	$-0.583292\pi$
$239$	5.18254	−	2.49578i	0.335231	−	0.161439i	0.593925	+	0.804521i	$0.297578\pi$
$240$	10.3288	+	4.97411i	0.666724	+	0.321077i
$241$	2.01324	+	8.82058i	0.129684	+	0.568183i	0.997460	+	0.0712278i	$0.0226917\pi$
$241$	2.01324	+	8.82058i	0.129684	+	0.568183i	−0.867776	+	0.496956i	$0.834451\pi$
$242$	−9.75569	−	4.69809i	−0.627120	−	0.302005i
$243$	−3.04042	+	3.81256i	−0.195043	+	0.244576i
$244$	−7.15628			−0.458134
$245$	20.0647	+	14.1826i	1.28188	+	0.906093i
$246$	7.22303			0.460524
$247$	−1.23618	+	1.55013i	−0.0786565	+	0.0986321i
$248$	4.16414	+	2.00535i	0.264423	+	0.127340i
$249$	1.70384	+	7.46501i	0.107976	+	0.473076i
$250$	−8.31765	−	4.00557i	−0.526054	−	0.253334i
$251$	−17.8653	+	8.60347i	−1.12765	+	0.543046i	−0.902247	−	0.431220i	$-0.858083\pi$
$251$	−17.8653	+	8.60347i	−1.12765	+	0.543046i	−0.225401	+	0.974266i	$0.572369\pi$
$252$	0.616303	−	0.653057i	0.0388234	−	0.0411387i
$253$	4.28345	+	2.06280i	0.269298	+	0.129687i
$254$	−8.62119	−	10.8106i	−0.540941	−	0.678319i
$255$	−12.9183	+	6.22113i	−0.808976	+	0.389582i
$256$	−9.17807	+	11.5089i	−0.573630	+	0.719309i
$257$	−1.10507	+	4.84163i	−0.0689324	+	0.302013i	−0.997628	−	0.0688292i	$-0.978074\pi$
$257$	−1.10507	+	4.84163i	−0.0689324	+	0.302013i	0.928696	+	0.370842i	$0.120931\pi$
$258$	3.59111	−	4.50310i	0.223573	−	0.280351i
$259$	4.84674	−	15.2537i	0.301162	−	0.947821i
$260$	−1.56727	−	1.96530i	−0.0971981	−	0.121883i
$261$	−2.69452	+	1.29761i	−0.166786	+	0.0803201i
$262$	1.87519	−	8.21574i	0.115850	−	0.507570i
$263$	−15.0090			−0.925496			−0.462748	−	0.886490i	$-0.653136\pi$
$263$	−15.0090			−0.925496			−0.462748	+	0.886490i	$0.653136\pi$
$264$	5.87734			0.361725
$265$	−4.79484	+	21.0075i	−0.294544	+	1.29048i
$266$	−4.07950	+	4.32278i	−0.250130	+	0.265047i
$267$	−1.47027	−	6.44169i	−0.0899793	−	0.394225i
$268$	2.28539	+	10.0129i	0.139602	+	0.611637i
$269$	4.06006	+	5.09116i	0.247546	+	0.310413i	0.890044	−	0.455874i	$-0.150673\pi$
$269$	4.06006	+	5.09116i	0.247546	+	0.310413i	−0.642498	+	0.766287i	$0.722102\pi$
$270$	13.6918	+	17.1690i	0.833255	+	1.04487i
$271$	−2.00725	−	8.79435i	−0.121932	−	0.534219i	−0.998589	−	0.0531029i	$-0.983089\pi$
$271$	−2.00725	−	8.79435i	−0.121932	−	0.534219i	0.876657	−	0.481116i	$-0.159768\pi$
$272$	1.17520	+	5.14889i	0.0712570	+	0.312197i
$273$	−3.92722	+	1.50314i	−0.237686	+	0.0909739i
$274$	−1.08975	+	4.77449i	−0.0658340	+	0.288438i
$275$	−8.79684			−0.530469
$276$	4.50349			0.271078
$277$	−0.248298	+	1.08787i	−0.0149188	+	0.0653635i	−0.981839	−	0.189714i	$-0.939244\pi$
$277$	−0.248298	+	1.08787i	−0.0149188	+	0.0653635i	0.966921	+	0.255078i	$0.0821010\pi$
$278$	−17.8250	+	8.58406i	−1.06907	+	0.514837i
$279$	0.443759	+	0.556456i	0.0265672	+	0.0333142i
$280$	−15.9004	−	23.7504i	−0.950228	−	1.41936i
$281$	13.3522	−	16.7431i	0.796524	−	0.998809i	−0.203283	−	0.979120i	$-0.565161\pi$
$281$	13.3522	−	16.7431i	0.796524	−	0.998809i	0.999806	−	0.0196889i	$-0.00626756\pi$
$282$	2.55967	−	11.2146i	0.152426	−	0.667822i
$283$	18.6417	−	23.3760i	1.10814	−	1.38956i	0.195539	−	0.980696i	$-0.437354\pi$
$283$	18.6417	−	23.3760i	1.10814	−	1.38956i	0.912596	−	0.408862i	$-0.134074\pi$
$284$	6.62766	−	3.19171i	0.393280	−	0.189393i
$285$	6.89654	+	8.64799i	0.408516	+	0.512263i
$286$	1.22664	+	0.590720i	0.0725329	+	0.0349300i
$287$	−9.14481	−	5.38334i	−0.539801	−	0.317768i
$288$	−1.63403	+	0.786905i	−0.0962859	+	0.0463688i
$289$	9.36526	+	4.51007i	0.550898	+	0.265298i
$290$	5.58490	+	24.4691i	0.327957	+	1.43687i
$291$	−14.1711	−	6.82445i	−0.830725	−	0.400056i
$292$	4.90572	−	6.15158i	0.287085	−	0.359994i
$293$	−18.3188			−1.07019			−0.535097	−	0.844791i	$-0.679725\pi$
$293$	−18.3188			−1.07019			−0.535097	+	0.844791i	$0.679725\pi$
$294$	−12.1072	+	3.51154i	−0.706105	+	0.204797i
$295$	−8.35023			−0.486169
$296$	−11.6079	+	14.5558i	−0.674695	+	0.846041i
$297$	5.97724	+	2.87849i	0.346835	+	0.167027i
$298$	−3.67861	−	16.1170i	−0.213096	−	0.933635i
$299$	3.56489	+	1.71676i	0.206163	+	0.0992829i
$300$	−7.50760	+	3.61547i	−0.433452	+	0.208739i
$301$	−7.90274	+	3.02476i	−0.455506	+	0.174344i
$302$	22.1542	+	10.6689i	1.27483	+	0.613925i
$303$	0.812951	+	1.01941i	0.0467028	+	0.0585635i
$304$	3.67077	−	1.76775i	0.210533	−	0.101387i
$305$	−21.8702	+	27.4244i	−1.25229	+	1.57032i
$306$	−0.307109	+	1.34553i	−0.0175563	+	0.0769191i
$307$	−8.76683	+	10.9933i	−0.500349	+	0.627418i	−0.966308	−	0.257388i	$-0.917138\pi$
$307$	−8.76683	+	10.9933i	−0.500349	+	0.627418i	0.465959	+	0.884806i	$0.345710\pi$
$308$	−1.96189	−	1.15492i	−0.111789	−	0.0658078i
$309$	2.79892	+	3.50974i	0.159225	+	0.199662i
$310$	5.38148	−	2.59158i	0.305647	−	0.147192i
$311$	−7.24030	+	31.7218i	−0.410560	+	1.79878i	0.170996	+	0.985272i	$0.445302\pi$
$311$	−7.24030	+	31.7218i	−0.410560	+	1.79878i	−0.581555	+	0.813507i	$0.697556\pi$
$312$	4.89141			0.276921
$313$	11.2790			0.637529			0.318764	−	0.947834i	$-0.396732\pi$
$313$	11.2790			0.637529			0.318764	+	0.947834i	$0.396732\pi$
$314$	−2.08691	+	9.14334i	−0.117771	+	0.515988i
$315$	−0.619177	−	4.35760i	−0.0348867	−	0.245523i
$316$	−1.23440	−	5.40825i	−0.0694403	−	0.304238i
$317$	−0.669538	−	2.93344i	−0.0376050	−	0.164758i	0.952639	−	0.304104i	$-0.0983571\pi$
$317$	−0.669538	−	2.93344i	−0.0376050	−	0.164758i	−0.990244	+	0.139346i	$0.955500\pi$
$318$	−6.89272	−	8.64320i	−0.386524	−	0.484686i
$319$	4.72753	+	5.92814i	0.264691	+	0.331912i
$320$	6.59694	+	28.9031i	0.368780	+	1.61573i
$321$	−6.61796	−	28.9952i	−0.369378	−	1.61835i
$322$	10.2220	+	6.01748i	0.569652	+	0.335341i
$323$	−1.13389	+	4.96791i	−0.0630915	+	0.276422i
$324$	5.26610			0.292561
$325$	−7.32115			−0.406105
$326$	−4.49038	+	19.6737i	−0.248699	+	1.08962i
$327$	7.30734	−	3.51903i	0.404097	−	0.194603i
$328$	7.69619	+	9.65072i	0.424951	+	0.532872i
$329$	−11.5990	+	12.2907i	−0.639473	+	0.677609i
$330$	4.73572	−	5.93841i	0.260693	−	0.326899i
$331$	−0.512254	+	2.24433i	−0.0281560	+	0.123360i	−0.987053	−	0.160395i	$-0.948723\pi$
$331$	−0.512254	+	2.24433i	−0.0281560	+	0.123360i	0.958897	+	0.283755i	$0.0915802\pi$
$332$	−2.15107	+	2.69735i	−0.118055	+	0.148036i
$333$	−2.58307	+	1.24394i	−0.141551	+	0.0681675i
$334$	1.34651	+	1.68847i	0.0736776	+	0.0923888i
$335$	45.3560	+	21.8423i	2.47807	+	1.19337i
$336$	8.61109	+	0.718561i	0.469774	+	0.0392007i
$337$	−27.2151	+	13.1061i	−1.48250	+	0.713934i	−0.987886	−	0.155179i	$-0.950405\pi$
$337$	−27.2151	+	13.1061i	−1.48250	+	0.713934i	−0.494613	+	0.869113i	$0.664690\pi$
$338$	1.02087	+	0.491626i	0.0555281	+	0.0267409i
$339$	0.947297	+	4.15038i	0.0514501	+	0.225418i
$340$	−5.82066	−	2.80308i	−0.315670	−	0.152019i
$341$	1.12507	−	1.41080i	0.0609262	−	0.0763990i
$342$	1.06470			0.0575725
$343$	17.9456	+	4.57767i	0.968972	+	0.247171i
$344$	9.84297			0.530697
$345$	13.7630	−	17.2583i	0.740978	−	0.929157i
$346$	−13.2237	−	6.36822i	−0.710913	−	0.342357i
$347$	−6.96366	−	30.5098i	−0.373829	−	1.63785i	−0.715918	−	0.698184i	$-0.753992\pi$
$347$	−6.96366	−	30.5098i	−0.373829	−	1.63785i	0.342090	−	0.939667i	$-0.388865\pi$
$348$	6.47112	+	3.11633i	0.346889	+	0.167053i
$349$	6.47686	−	3.11909i	0.346698	−	0.166961i	−0.252428	−	0.967616i	$-0.581229\pi$
$349$	6.47686	−	3.11909i	0.346698	−	0.166961i	0.599126	+	0.800655i	$0.295515\pi$
$350$	−21.8717	−	1.82511i	−1.16909	−	0.0975561i
$351$	4.97455	+	2.39562i	0.265522	+	0.127868i
$352$	2.86690	+	3.59498i	0.152806	+	0.191613i
$353$	−22.6159	+	10.8912i	−1.20372	+	0.579682i	−0.924735	−	0.380612i	$-0.875713\pi$
$353$	−22.6159	+	10.8912i	−1.20372	+	0.579682i	−0.278988	+	0.960295i	$0.589999\pi$
$354$	2.67108	−	3.34942i	0.141966	−	0.178020i
$355$	8.02339	−	35.1528i	0.425837	−	1.86572i
$356$	1.85619	−	2.32759i	0.0983781	−	0.123362i
$357$	−7.41758	+	7.85993i	−0.392580	+	0.415992i
$358$	11.3699	+	14.2573i	0.600915	+	0.753524i
$359$	−10.1505	+	4.88820i	−0.535720	+	0.257989i	−0.682125	−	0.731235i	$-0.738944\pi$
$359$	−10.1505	+	4.88820i	−0.535720	+	0.257989i	0.146405	+	0.989225i	$0.453230\pi$
$360$	−1.13926	+	4.99140i	−0.0600440	+	0.263070i
$361$	−15.0690			−0.793103
$362$	−27.3348			−1.43668
$363$	−3.37972	+	14.8075i	−0.177389	+	0.777193i
$364$	−1.63278	−	0.961182i	−0.0855811	−	0.0503796i
$365$	−8.58184	−	37.5995i	−0.449194	−	1.96805i
$366$	−4.00454	−	17.5450i	−0.209321	−	0.917094i
$367$	−0.211882	−	0.265691i	−0.0110601	−	0.0138690i	0.776271	−	0.630400i	$-0.217109\pi$
$367$	−0.211882	−	0.265691i	−0.0110601	−	0.0138690i	−0.787331	+	0.616531i	$0.788538\pi$
$368$	−5.06943	−	6.35687i	−0.264263	−	0.331375i
$369$	0.422980	+	1.85320i	0.0220194	+	0.0964735i
$370$	5.35391	+	23.4570i	0.278336	+	1.21947i
$371$	2.28482	+	16.0800i	0.118622	+	0.834831i
$372$	0.380354	−	1.66644i	0.0197204	−	0.0864008i
$373$	−21.2434			−1.09994			−0.549971	−	0.835184i	$-0.685361\pi$
$373$	−21.2434			−1.09994			−0.549971	+	0.835184i	$0.685361\pi$
$374$	3.49910			0.180934
$375$	−2.88153	+	12.6248i	−0.148802	+	0.651942i
$376$	17.7113	−	8.52930i	0.913389	−	0.439865i
$377$	3.93448	+	4.93368i	0.202636	+	0.254098i
$378$	14.2641	+	8.39694i	0.733666	+	0.431892i
$379$	3.64143	−	4.56621i	0.187048	−	0.234551i	−0.679462	−	0.733711i	$-0.737787\pi$
$379$	3.64143	−	4.56621i	0.187048	−	0.234551i	0.866510	+	0.499160i	$0.166358\pi$
$380$	−1.10902	+	4.85894i	−0.0568915	+	0.249258i
$381$	−12.0928	+	15.1640i	−0.619535	+	0.776873i
$382$	1.33646	−	0.643606i	0.0683794	−	0.0329298i
$383$	17.8831	+	22.4247i	0.913785	+	1.14585i	0.988886	+	0.148674i	$0.0475005\pi$
$383$	17.8831	+	22.4247i	0.913785	+	1.14585i	−0.0751013	+	0.997176i	$0.523928\pi$
$384$	−2.74407	−	1.32148i	−0.140033	−	0.0674363i
$385$	−10.4216	+	3.98885i	−0.531135	+	0.203291i
$386$	−21.1075	+	10.1648i	−1.07434	+	0.517377i
$387$	1.36565	+	0.657660i	0.0694197	+	0.0334307i
$388$	−1.57700	−	6.90928i	−0.0800600	−	0.350766i
$389$	31.2691	+	15.0584i	1.58540	+	0.763490i	0.998920	−	0.0464703i	$-0.0147973\pi$
$389$	31.2691	+	15.0584i	1.58540	+	0.763490i	0.586484	+	0.809961i	$0.300512\pi$
$390$	3.94130	−	4.94223i	0.199575	−	0.250259i
$391$	10.1691			0.514276
$392$	−17.5921	−	12.4349i	−0.888534	−	0.628056i
$393$	−11.8205			−0.596265
$394$	15.5519	−	19.5015i	0.783493	−	0.982469i
$395$	−24.4980	−	11.7976i	−1.23263	−	0.593603i
$396$	0.0907446	+	0.397578i	0.00456009	+	0.0199790i
$397$	−27.7086	−	13.3437i	−1.39065	−	0.669704i	−0.419411	−	0.907796i	$-0.637764\pi$
$397$	−27.7086	−	13.3437i	−1.39065	−	0.669704i	−0.971242	+	0.238093i	$0.923478\pi$
$398$	−17.2436	+	8.30407i	−0.864343	+	0.416245i
$399$	7.18482	+	4.22954i	0.359691	+	0.211742i
$400$	13.5545	+	6.52749i	0.677724	+	0.326375i
$401$	−24.5750	−	30.8160i	−1.22722	−	1.53888i	−0.752255	−	0.658873i	$-0.771034\pi$
$401$	−24.5750	−	30.8160i	−1.22722	−	1.53888i	−0.474961	−	0.880007i	$-0.657538\pi$
$402$	−23.2698	+	11.2062i	−1.16059	+	0.558913i
$403$	0.936341	−	1.17413i	0.0466425	−	0.0584878i
$404$	−0.130729	+	0.572762i	−0.00650402	+	0.0284960i
$405$	16.0937	−	20.1808i	0.799701	−	1.00279i
$406$	10.5242	+	15.7201i	0.522308	+	0.780173i
$407$	4.53199	+	5.68294i	0.224643	+	0.281693i
$408$	11.3264	−	5.45450i	0.560740	−	0.270038i
$409$	−4.72427	+	20.6984i	−0.233600	+	1.02347i	0.713027	+	0.701137i	$0.247324\pi$
$409$	−4.72427	+	20.6984i	−0.233600	+	1.02347i	−0.946627	+	0.322332i	$0.895533\pi$
$410$	15.9523			0.787826
$411$	6.86936			0.338840
$412$	−0.450089	+	1.97197i	−0.0221743	+	0.0971520i
$413$	−5.87808	+	2.24982i	−0.289241	+	0.110706i
$414$	−0.472805	−	2.07149i	−0.0232371	−	0.101808i
$415$	3.76298	+	16.4867i	0.184717	+	0.809299i
$416$	2.38597	+	2.99191i	0.116982	+	0.146691i
$417$	17.3025	+	21.6967i	0.847309	+	1.06249i
$418$	−0.600666	−	2.63169i	−0.0293795	−	0.128720i
$419$	−4.28908	−	18.7917i	−0.209535	−	0.918035i	−0.964877	−	0.262703i	$-0.915386\pi$
$419$	−4.28908	−	18.7917i	−0.209535	−	0.918035i	0.755341	−	0.655332i	$-0.227471\pi$
$420$	−7.25486	+	7.68752i	−0.354001	+	0.375112i
$421$	−5.02350	+	22.0094i	−0.244830	+	1.07267i	0.691728	+	0.722158i	$0.256850\pi$
$421$	−5.02350	+	22.0094i	−0.244830	+	1.07267i	−0.936558	+	0.350513i	$0.886007\pi$
$422$	−1.68498			−0.0820237
$423$	3.02721			0.147188
$424$	4.20397	−	18.4188i	0.204163	−	0.894495i
$425$	−16.9526	+	8.16395i	−0.822323	+	0.396010i
$426$	11.5339	+	14.4630i	0.558818	+	0.700735i
$427$	−8.00636	+	25.1977i	−0.387455	+	1.21940i
$428$	8.35505	−	10.4769i	0.403857	−	0.506420i
$429$	0.424953	−	1.86184i	0.0205169	−	0.0898905i
$430$	7.93106	−	9.94523i	0.382470	−	0.479602i
$431$	−16.8940	+	8.13571i	−0.813754	+	0.391883i	−0.793997	−	0.607921i	$-0.792004\pi$
$431$	−16.8940	+	8.13571i	−0.813754	+	0.391883i	−0.0197571	+	0.999805i	$0.506289\pi$
$432$	−7.07402	−	8.87054i	−0.340349	−	0.426784i
$433$	−23.7545	−	11.4395i	−1.14157	−	0.549749i	−0.235076	−	0.971977i	$-0.575534\pi$
$433$	−23.7545	−	11.4395i	−1.14157	−	0.549749i	−0.906490	+	0.422228i	$0.861248\pi$
$434$	3.08999	−	3.27427i	0.148324	−	0.157170i
$435$	31.7188	−	15.2750i	1.52080	−	0.732378i
$436$	3.29250	+	1.58558i	0.157682	+	0.0759357i
$437$	−1.74567	−	7.64827i	−0.0835066	−	0.365866i
$438$	17.8270	+	8.58502i	0.851806	+	0.410208i
$439$	9.51054	−	11.9258i	0.453913	−	0.569189i	−0.501237	−	0.865310i	$-0.667122\pi$
$439$	9.51054	−	11.9258i	0.453913	−	0.569189i	0.955151	+	0.296121i	$0.0956931\pi$
$440$	12.9803			0.618810
$441$	−1.60994	−	2.90067i	−0.0766640	−	0.138127i
$442$	2.91212			0.138515
$443$	−2.95853	+	3.70988i	−0.140564	+	0.176262i	−0.847130	−	0.531385i	$-0.821672\pi$
$443$	−2.95853	+	3.70988i	−0.140564	+	0.176262i	0.706566	+	0.707647i	$0.250243\pi$
$444$	6.20347	+	2.98743i	0.294404	+	0.141777i
$445$	−3.24714	−	14.2267i	−0.153929	−	0.674408i
$446$	22.4263	+	10.7999i	1.06192	+	0.511392i
$447$	−20.8922	+	10.0612i	−0.988167	+	0.475876i
$448$	12.4313	+	18.5687i	0.587323	+	0.877288i
$449$	30.2722	+	14.5783i	1.42863	+	0.687994i	0.978743	−	0.205090i	$-0.0657488\pi$
$449$	30.2722	+	14.5783i	1.42863	+	0.687994i	0.449890	+	0.893084i	$0.351463\pi$
$450$	2.45123	+	3.07374i	0.115552	+	0.144898i
$451$	4.34202	−	2.09101i	0.204458	−	0.0984618i
$452$	−1.19594	+	1.49967i	−0.0562525	+	0.0705384i
$453$	7.67499	−	33.6263i	0.360603	−	1.57990i
$454$	−8.00351	+	10.0361i	−0.375623	+	0.471017i
$455$	−8.67338	+	3.31972i	−0.406614	+	0.155631i
$456$	−6.04668	−	7.58230i	−0.283162	−	0.355074i
$457$	−28.9223	+	13.9283i	−1.35293	+	0.651536i	−0.963048	−	0.269329i	$-0.913198\pi$
$457$	−28.9223	+	13.9283i	−1.35293	+	0.651536i	−0.389881	+	0.920865i	$0.627484\pi$
$458$	−3.37154	+	14.7717i	−0.157542	+	0.690236i
$459$	14.1903			0.662346
$460$	9.94607			0.463738
$461$	2.85071	−	12.4898i	0.132771	−	0.581707i	−0.864146	−	0.503241i	$-0.832141\pi$
$461$	2.85071	−	12.4898i	0.132771	−	0.581707i	0.996917	−	0.0784660i	$-0.0250022\pi$
$462$	1.73368	−	5.45625i	0.0806579	−	0.253848i
$463$	−8.53265	−	37.3840i	−0.396546	−	1.73738i	−0.640836	−	0.767678i	$-0.721412\pi$
$463$	−8.53265	−	37.3840i	−0.396546	−	1.73738i	0.244290	−	0.969702i	$-0.421445\pi$
$464$	−2.88551	−	12.6422i	−0.133956	−	0.586901i
$465$	−5.22375	−	6.55038i	−0.242246	−	0.303766i
$466$	−7.34549	−	9.21095i	−0.340273	−	0.426689i
$467$	2.27684	+	9.97547i	0.105359	+	0.461610i	0.999893	+	0.0146095i	$0.00465050\pi$
$467$	2.27684	+	9.97547i	0.105359	+	0.461610i	−0.894534	+	0.447000i	$0.852492\pi$
$468$	0.0755220	+	0.330883i	0.00349101	+	0.0152951i
$469$	37.8131	+	3.15535i	1.74605	+	0.145700i
$470$	5.65310	−	24.7679i	0.260758	−	1.14246i
$471$	13.1551			0.606155
$472$	7.32123			0.336987
$473$	0.855131	−	3.74658i	0.0393190	−	0.172268i
$474$	12.5687	−	6.05275i	0.577298	−	0.278012i
$475$	9.05029	+	11.3487i	0.415256	+	0.520714i
$476$	−4.85265	−	0.404934i	−0.222421	−	0.0185601i
$477$	1.81393	−	2.27459i	0.0830540	−	0.104146i
$478$	−1.45033	+	6.35429i	−0.0663363	+	0.290638i
$479$	13.6272	−	17.0879i	0.622641	−	0.780767i	−0.366073	−	0.930586i	$-0.619298\pi$
$479$	13.6272	−	17.0879i	0.622641	−	0.780767i	0.988713	+	0.149819i	$0.0478693\pi$
$480$	19.2351	−	9.26313i	0.877957	−	0.422802i
$481$	3.77174	+	4.72962i	0.171977	+	0.215652i
$482$	−9.23625	−	4.44794i	−0.420700	−	0.202598i
$483$	5.03844	−	15.8571i	0.229257	−	0.721522i
$484$	−6.16575	+	2.96927i	−0.280262	+	0.134967i
$485$	−31.2973	−	15.0720i	−1.42114	−	0.684384i
$486$	−1.22952	−	5.38689i	−0.0557722	−	0.244354i
$487$	−17.5311	−	8.44255i	−0.794412	−	0.382569i	−0.00776354	−	0.999970i	$-0.502471\pi$
$487$	−17.5311	−	8.44255i	−0.794412	−	0.382569i	−0.786648	+	0.617401i	$0.788186\pi$
$488$	19.1751	−	24.0449i	0.868018	−	1.08846i
$489$	28.3057			1.28003
$490$	−26.7390	+	7.75535i	−1.20795	+	0.350351i
$491$	−23.1875			−1.04644			−0.523219	−	0.852198i	$-0.675269\pi$
$491$	−23.1875			−1.04644			−0.523219	+	0.852198i	$0.675269\pi$
$492$	2.84627	−	3.56911i	0.128320	−	0.160908i
$493$	14.6122	+	7.03686i	0.658100	+	0.316924i
$494$	−0.499903	−	2.19022i	−0.0224917	−	0.0985426i
$495$	1.80093	+	0.867280i	0.0809456	+	0.0389814i
$496$	−2.78040	+	1.33897i	−0.124844	+	0.0601216i
$497$	−3.82329	−	26.9073i	−0.171498	−	1.20696i
$498$	−7.81680	−	3.76437i	−0.350279	−	0.168685i
$499$	10.8065	+	13.5509i	0.483765	+	0.606623i	0.962482	−	0.271347i	$-0.0874691\pi$
$499$	10.8065	+	13.5509i	0.483765	+	0.606623i	−0.478716	+	0.877970i	$0.658898\pi$
$500$	−5.25689	+	2.53158i	−0.235095	+	0.113216i
$501$	1.88873	−	2.36840i	0.0843823	−	0.105812i
$502$	4.99957	−	21.9045i	0.223142	−	0.977648i
$503$	17.2935	−	21.6854i	0.771081	−	0.966905i	−0.228898	−	0.973450i	$-0.573512\pi$
$503$	17.2935	−	21.6854i	0.771081	−	0.966905i	0.999979	+	0.00654586i	$0.00208363\pi$
$504$	0.542875	+	3.82061i	0.0241816	+	0.170184i
$505$	1.79542	+	2.25139i	0.0798954	+	0.100186i
$506$	−4.85350	+	2.33732i	−0.215764	+	0.103907i
$507$	0.353666	−	1.54951i	0.0157069	−	0.0688163i
$508$	−8.73908			−0.387734
$509$	14.4718			0.641451			0.320726	−	0.947172i	$-0.396073\pi$
$509$	14.4718			0.641451			0.320726	+	0.947172i	$0.396073\pi$
$510$	3.61517	−	15.8391i	0.160082	−	0.701366i
$511$	−16.1716	−	24.1557i	−0.715392	−	1.06858i
$512$	−4.56437	−	19.9978i	−0.201719	−	0.883788i
$513$	−2.43595	−	10.6726i	−0.107550	−	0.471206i
$514$	−3.50840	−	4.39940i	−0.154749	−	0.194049i
$515$	6.18150	+	7.75135i	0.272389	+	0.341565i
$516$	−0.810024	−	3.54895i	−0.0356593	−	0.156234i
$517$	−1.70784	−	7.48253i	−0.0751107	−	0.329081i
$518$	10.0889	+	15.0699i	0.443281	+	0.662131i
$519$	−4.58117	+	20.0714i	−0.201091	+	0.881038i
$520$	10.8028			0.473735
$521$	25.1196			1.10051			0.550254	−	0.834997i	$-0.314531\pi$
$521$	25.1196			1.10051			0.550254	+	0.834997i	$0.314531\pi$
$522$	0.754056	−	3.30373i	0.0330041	−	0.144600i
$523$	−13.0239	+	6.27198i	−0.569495	+	0.274255i	−0.696392	−	0.717661i	$-0.745213\pi$
$523$	−13.0239	+	6.27198i	−0.569495	+	0.274255i	0.126897	+	0.991916i	$0.459498\pi$
$524$	−3.32071	−	4.16404i	−0.145066	−	0.181907i
$525$	4.33090	+	30.4797i	0.189016	+	1.33024i
$526$	10.6033	−	13.2962i	0.462328	−	0.579741i
$527$	0.858862	−	3.76292i	0.0374126	−	0.163915i
$528$	−2.44677	+	3.06815i	−0.106482	+	0.133524i
$529$	6.61695	−	3.18655i	0.287693	−	0.138546i
$530$	−15.2228	−	19.0887i	−0.661235	−	0.829162i
$531$	1.01577	+	0.489170i	0.0440807	+	0.0212281i
$532$	0.528468	+	3.71922i	0.0229120	+	0.161248i
$533$	3.61364	−	1.74024i	0.156524	−	0.0753781i
$534$	6.74526	+	3.24834i	0.291896	+	0.140570i
$535$	−14.6159	−	64.0367i	−0.631903	−	2.76855i
$536$	−39.7668	−	19.1507i	−1.71766	−	0.827183i
$537$	15.9484	−	19.9986i	0.688223	−	0.863004i
$538$	−7.37844			−0.318107
$539$	−6.26150	+	5.61585i	−0.269702	+	0.241892i
$540$	13.8790			0.597258
$541$	−18.4268	+	23.1065i	−0.792232	+	0.993427i	0.207652	+	0.978203i	$0.433418\pi$
$541$	−18.4268	+	23.1065i	−0.792232	+	0.993427i	−0.999884	+	0.0152247i	$0.995154\pi$
$542$	9.20878	+	4.43472i	0.395551	+	0.190487i
$543$	8.53194	+	37.3809i	0.366141	+	1.60417i
$544$	8.86122	+	4.26734i	0.379922	+	0.182961i
$545$	16.1385	−	7.77188i	0.691296	−	0.332911i
$546$	1.44285	−	4.54096i	0.0617482	−	0.194335i
$547$	−5.15918	−	2.48453i	−0.220590	−	0.106231i	0.320325	−	0.947308i	$-0.396208\pi$
$547$	−5.15918	−	2.48453i	−0.220590	−	0.106231i	−0.540916	+	0.841077i	$0.681922\pi$
$548$	1.92980	+	2.41989i	0.0824369	+	0.103373i
$549$	4.26699	−	2.05487i	0.182111	−	0.0876998i
$550$	6.21466	−	7.79294i	0.264994	−	0.332292i
$551$	2.78409	−	12.1979i	0.118606	−	0.519647i
$552$	−12.0670	+	15.1316i	−0.513606	+	0.644042i
$553$	−20.4238	−	1.70429i	−0.868510	−	0.0724737i
$554$	−0.788303	−	0.988501i	−0.0334918	−	0.0419974i
$555$	30.4068	−	14.6432i	1.29070	−	0.621567i
$556$	−2.78239	+	12.1904i	−0.118000	+	0.516990i
$557$	−5.34591			−0.226513			−0.113257	−	0.993566i	$-0.536128\pi$
$557$	−5.34591			−0.226513			−0.113257	+	0.993566i	$0.536128\pi$
$558$	−0.806453			−0.0341399
$559$	0.711682	−	3.11808i	0.0301009	−	0.131881i
$560$	19.0178	+	1.58696i	0.803651	+	0.0670614i
$561$	−1.09217	−	4.78509i	−0.0461113	−	0.202027i
$562$	5.39951	+	23.6568i	0.227765	+	0.997902i
$563$	−17.1440	−	21.4980i	−0.722535	−	0.906031i	0.275943	−	0.961174i	$-0.411010\pi$
$563$	−17.1440	−	21.4980i	−0.722535	−	0.906031i	−0.998478	+	0.0551432i	$0.982438\pi$
$564$	−4.53284	−	5.68400i	−0.190867	−	0.239340i
$565$	2.09213	+	9.16623i	0.0880167	+	0.385626i
$566$	7.53857	+	33.0286i	0.316870	+	1.38830i
$567$	5.89165	−	18.5423i	0.247426	−	0.778703i
$568$	−7.03467	+	30.8209i	−0.295168	+	1.29322i
$569$	22.0169			0.922996			0.461498	−	0.887141i	$-0.347312\pi$
$569$	22.0169			0.922996			0.461498	+	0.887141i	$0.347312\pi$
$570$	−12.5332			−0.524960
$571$	7.14868	−	31.3204i	0.299163	−	1.31072i	−0.572214	−	0.820104i	$-0.693915\pi$
$571$	7.14868	−	31.3204i	0.299163	−	1.31072i	0.871377	−	0.490614i	$-0.163228\pi$
$572$	0.775258	−	0.373345i	0.0324152	−	0.0156103i
$573$	−1.29729	−	1.62675i	−0.0541952	−	0.0679586i
$574$	11.2295	−	4.29806i	0.468709	−	0.179397i
$575$	18.0612	−	22.6480i	0.753203	−	0.944486i
$576$	0.890698	−	3.90240i	0.0371124	−	0.162600i
$577$	−24.5853	+	30.8290i	−1.02350	+	1.28343i	−0.0651373	+	0.997876i	$0.520749\pi$
$577$	−24.5853	+	30.8290i	−1.02350	+	1.28343i	−0.958363	+	0.285553i	$0.907823\pi$
$578$	−10.6116	+	5.11028i	−0.441385	+	0.212560i
$579$	20.4889	+	25.6923i	0.851489	+	1.06773i
$580$	14.2917	+	6.88250i	0.593429	+	0.285780i
$581$	7.09096	+	10.5918i	0.294183	+	0.439422i
$582$	16.0570	−	7.73266i	0.665585	−	0.320529i
$583$	−6.64560	−	3.20035i	−0.275233	−	0.132545i
$584$	7.52430	+	32.9661i	0.311358	+	1.36415i
$585$	1.49882	+	0.721793i	0.0619685	+	0.0298424i
$586$	12.9416	−	16.2282i	0.534611	−	0.670381i
$587$	−21.7651			−0.898340			−0.449170	−	0.893446i	$-0.648280\pi$
$587$	−21.7651			−0.898340			−0.449170	+	0.893446i	$0.648280\pi$
$588$	−3.03574	+	7.36626i	−0.125192	+	0.303780i
$589$	−2.97754			−0.122688
$590$	5.89914	−	7.39729i	0.242864	−	0.304542i
$591$	−31.5228	−	15.1806i	−1.29668	−	0.624446i
$592$	−2.76616	−	12.1193i	−0.113688	−	0.498102i
$593$	−1.67281	−	0.805583i	−0.0686941	−	0.0330813i	0.399221	−	0.916855i	$-0.369281\pi$
$593$	−1.67281	−	0.805583i	−0.0686941	−	0.0330813i	−0.467915	+	0.883773i	$0.654995\pi$
$594$	−6.77270	+	3.26156i	−0.277887	+	0.133823i
$595$	−16.3819	+	17.3589i	−0.671593	+	0.711645i
$596$	−9.41349	−	4.53330i	−0.385591	−	0.185691i
$597$	16.7382	+	20.9890i	0.685049	+	0.859024i
$598$	−4.03932	+	1.94523i	−0.165180	+	0.0795465i
$599$	−13.2575	+	16.6243i	−0.541685	+	0.679252i	−0.975055	−	0.221965i	$-0.928753\pi$
$599$	−13.2575	+	16.6243i	−0.541685	+	0.679252i	0.433370	+	0.901216i	$0.357324\pi$
$600$	7.96864	−	34.9129i	0.325318	−	1.42531i
$601$	−22.4461	+	28.1465i	−0.915596	+	1.14812i	0.0729702	+	0.997334i	$0.476752\pi$
$601$	−22.4461	+	28.1465i	−0.915596	+	1.14812i	−0.988566	+	0.150787i	$0.951819\pi$
$602$	2.90344	−	9.13775i	0.118335	−	0.372427i
$603$	−4.23782	−	5.31406i	−0.172577	−	0.216405i
$604$	14.0018	−	6.74290i	0.569724	−	0.274365i
$605$	−7.46421	+	32.7028i	−0.303463	+	1.32956i
$606$	−1.47739			−0.0600150
$607$	−28.6874			−1.16439			−0.582194	−	0.813050i	$-0.697805\pi$
$607$	−28.6874			−1.16439			−0.582194	+	0.813050i	$0.697805\pi$
$608$	1.68834	−	7.39711i	0.0684713	−	0.299992i
$609$	18.2126	−	19.2987i	0.738012	−	0.782025i
$610$	−8.84415	−	38.7487i	−0.358089	−	1.56889i
$611$	−1.42135	−	6.22732i	−0.0575015	−	0.251931i
$612$	0.543851	+	0.681967i	0.0219839	+	0.0275669i
$613$	8.68183	+	10.8867i	0.350656	+	0.439709i	0.925611	−	0.378476i	$-0.123552\pi$
$613$	8.68183	+	10.8867i	0.350656	+	0.439709i	−0.574955	+	0.818185i	$0.694980\pi$
$614$	−3.54524	−	15.5327i	−0.143074	−	0.626849i
$615$	−4.97914	−	21.8151i	−0.200778	−	0.879668i
$616$	9.13737	−	3.49731i	0.368155	−	0.140910i
$617$	−3.12830	+	13.7060i	−0.125940	+	0.551781i	0.872107	+	0.489316i	$0.162753\pi$
$617$	−3.12830	+	13.7060i	−0.125940	+	0.551781i	−0.998047	+	0.0624654i	$0.980104\pi$
$618$	−5.08654			−0.204611
$619$	30.1381			1.21135			0.605676	−	0.795711i	$-0.292903\pi$
$619$	30.1381			1.21135			0.605676	+	0.795711i	$0.292903\pi$
$620$	0.840022	−	3.68037i	0.0337361	−	0.147807i
$621$	−19.6830	+	9.47881i	−0.789850	+	0.380372i
$622$	−22.9867	−	28.8244i	−0.921681	−	1.15575i
$623$	−6.11892	−	9.13986i	−0.245149	−	0.366181i
$624$	−2.03632	+	2.55346i	−0.0815179	+	0.102220i
$625$	1.78161	−	7.80574i	0.0712644	−	0.312230i
$626$	−7.96824	+	9.99186i	−0.318475	+	0.399355i
$627$	−3.41141	+	1.64285i	−0.136238	+	0.0656090i
$628$	3.69564	+	4.63419i	0.147472	+	0.184924i
$629$	14.0078	+	6.74581i	0.558528	+	0.268973i
$630$	4.29773	+	2.52998i	0.171226	+	0.100797i
$631$	32.9768	−	15.8808i	1.31278	−	0.632203i	0.359180	−	0.933268i	$-0.383056\pi$
$631$	32.9768	−	15.8808i	1.31278	−	0.632203i	0.953604	+	0.301065i	$0.0973421\pi$
$632$	21.4791	+	10.3438i	0.854393	+	0.411454i
$633$	0.525930	+	2.30425i	0.0209038	+	0.0915857i
$634$	3.07168	+	1.47924i	0.121992	+	0.0587482i
$635$	−26.7074	+	33.4900i	−1.05985	+	1.32901i
$636$	−6.98697			−0.277052
$637$	−5.21112	+	4.67378i	−0.206472	+	0.185182i
$638$	−8.59145			−0.340139
$639$	−3.03532	+	3.80617i	−0.120075	+	0.150570i
$640$	−6.06036	−	2.91852i	−0.239557	−	0.115364i
$641$	9.25333	+	40.5415i	0.365485	+	1.60129i	0.739025	+	0.673678i	$0.235287\pi$
$641$	9.25333	+	40.5415i	0.365485	+	1.60129i	−0.373540	+	0.927614i	$0.621856\pi$
$642$	30.3616	+	14.6214i	1.19828	+	0.577059i
$643$	−34.2832	+	16.5099i	−1.35200	+	0.651087i	−0.962837	−	0.270083i	$-0.912949\pi$
$643$	−34.2832	+	16.5099i	−1.35200	+	0.651087i	−0.389160	+	0.921170i	$0.627235\pi$
$644$	7.00146	−	2.67979i	0.275896	−	0.105599i
$645$	−16.0758	−	7.74171i	−0.632985	−	0.304829i
$646$	−3.59991	−	4.51415i	−0.141637	−	0.177607i
$647$	25.2908	−	12.1794i	0.994284	−	0.478822i	0.135289	−	0.990806i	$-0.456804\pi$
$647$	25.2908	−	12.1794i	0.994284	−	0.478822i	0.858995	+	0.511984i	$0.171089\pi$
$648$	−14.1104	+	17.6939i	−0.554311	+	0.695084i
$649$	0.636049	−	2.78671i	0.0249671	−	0.109388i
$650$	5.17214	−	6.48566i	0.202868	−	0.254388i
$651$	−5.44210	−	3.20364i	−0.213293	−	0.125561i
$652$	7.95188	+	9.97134i	0.311420	+	0.390508i
$653$	5.46624	−	2.63240i	0.213910	−	0.103014i	−0.323860	−	0.946105i	$-0.604981\pi$
$653$	5.46624	−	2.63240i	0.213910	−	0.103014i	0.537771	+	0.843091i	$0.319267\pi$
$654$	−2.04495	+	8.95949i	−0.0799637	+	0.350344i
$655$	−26.1059			−1.02004
$656$	−8.24193			−0.321793
$657$	−1.15869	+	5.07656i	−0.0452049	+	0.198056i
$658$	−2.69380	−	18.9583i	−0.105015	−	0.739070i
$659$	6.69369	+	29.3270i	0.260749	+	1.14242i	0.920442	+	0.390880i	$0.127829\pi$
$659$	6.69369	+	29.3270i	0.260749	+	1.14242i	−0.659693	+	0.751536i	$0.729313\pi$
$660$	−1.06821	−	4.68012i	−0.0415799	−	0.182174i
$661$	28.5762	+	35.8335i	1.11149	+	1.39376i	0.910170	+	0.414235i	$0.135951\pi$
$661$	28.5762	+	35.8335i	1.11149	+	1.39376i	0.201317	+	0.979526i	$0.435478\pi$
$662$	−1.62632	−	2.03934i	−0.0632086	−	0.0792611i
$663$	−0.908953	−	3.98238i	−0.0353008	−	0.154663i
$664$	−3.29926	−	14.4550i	−0.128036	−	0.560963i
$665$	15.8679	+	9.34105i	0.615330	+	0.362230i
$666$	0.722867	−	3.16709i	0.0280105	−	0.122722i
$667$	−24.9686			−0.966789
$668$	1.36492			0.0528104
$669$	7.76927	−	34.0394i	0.300377	−	1.31604i
$670$	−51.3921	+	24.7491i	−1.98545	+	0.956142i
$671$	−7.48643	−	9.38768i	−0.289010	−	0.362407i
$672$	11.0446	−	11.7033i	0.426055	−	0.451463i
$673$	−25.1138	+	31.4917i	−0.968064	+	1.21391i	0.00877950	+	0.999961i	$0.497205\pi$
$673$	−25.1138	+	31.4917i	−0.968064	+	1.21391i	−0.976844	+	0.213953i	$0.931366\pi$
$674$	7.61609	−	33.3683i	0.293361	−	1.28530i
$675$	25.2030	−	31.6036i	0.970065	−	1.21642i
$676$	0.645207	−	0.310715i	0.0248157	−	0.0119506i
$677$	8.50739	+	10.6679i	0.326966	+	0.410002i	0.917960	−	0.396674i	$-0.129836\pi$
$677$	8.50739	+	10.6679i	0.326966	+	0.410002i	−0.590994	+	0.806676i	$0.701264\pi$
$678$	−4.34597	−	2.09291i	−0.166906	−	0.0803776i
$679$	−26.0924	−	2.17730i	−1.00133	−	0.0835573i
$680$	25.0146	−	12.0464i	0.959268	−	0.461959i
$681$	16.2227	+	7.81243i	0.621654	+	0.299373i
$682$	0.454971	+	1.99336i	0.0174217	+	0.0763297i
$683$	−9.32129	−	4.48890i	−0.356669	−	0.171763i	0.246965	−	0.969024i	$-0.420567\pi$
$683$	−9.32129	−	4.48890i	−0.356669	−	0.171763i	−0.603634	+	0.797262i	$0.706281\pi$
$684$	0.419552	−	0.526101i	0.0160420	−	0.0201160i
$685$	15.1712			0.579661
$686$	−16.7332	+	12.6637i	−0.638877	+	0.483502i
$687$	21.2529			0.810850
$688$	−4.09768	+	5.13832i	−0.156222	+	0.195897i
$689$	−5.53079	−	2.66349i	−0.210706	−	0.101471i
$690$	5.56567	+	24.3848i	0.211881	+	0.928313i
$691$	−11.9102	−	5.73563i	−0.453084	−	0.218194i	0.193402	−	0.981120i	$-0.438048\pi$
$691$	−11.9102	−	5.73563i	−0.453084	−	0.218194i	−0.646486	+	0.762926i	$0.723762\pi$
$692$	−8.35761	+	4.02481i	−0.317709	+	0.153000i
$693$	1.50142	+	0.125288i	0.0570343	+	0.00475928i
$694$	31.9476	+	15.3851i	1.21271	+	0.584012i
$695$	38.2132	+	47.9178i	1.44951	+	1.81763i
$696$	−27.8100	+	13.3926i	−1.05414	+	0.507646i
$697$	6.42706	−	8.05928i	0.243442	−	0.305267i
$698$	−1.81254	+	7.94124i	−0.0686055	+	0.300580i
$699$	−10.3034	+	12.9201i	−0.389712	+	0.488683i
$700$	−9.52051	+	10.0883i	−0.359842	+	0.381301i
$701$	−9.13237	−	11.4516i	−0.344925	−	0.432522i	0.578864	−	0.815424i	$-0.303496\pi$
$701$	−9.13237	−	11.4516i	−0.344925	−	0.432522i	−0.923789	+	0.382902i	$0.874925\pi$
$702$	−5.63657	+	2.71443i	−0.212739	+	0.102449i
$703$	2.66893	−	11.6934i	0.100661	−	0.441023i
$704$	−10.1483			−0.382478
$705$	−35.6350			−1.34209
$706$	6.32901	−	27.7292i	0.238196	−	1.04360i
$707$	1.87047	+	1.10110i	0.0703464	+	0.0414113i
$708$	−0.602498	−	2.63972i	−0.0226433	−	0.0992066i
$709$	1.06316	+	4.65800i	0.0399278	+	0.174935i	0.990960	−	0.134156i	$-0.0428324\pi$
$709$	1.06316	+	4.65800i	0.0399278	+	0.174935i	−0.951032	+	0.309091i	$0.899975\pi$
$710$	25.4729	+	31.9420i	0.955980	+	1.19876i
$711$	2.28896	+	2.87026i	0.0858427	+	0.107643i
$712$	2.84699	+	12.4735i	0.106696	+	0.467464i
$713$	1.32225	+	5.79314i	0.0495185	+	0.216955i
$714$	−1.72269	−	12.1238i	−0.0644701	−	0.453723i
$715$	0.938520	−	4.11193i	0.0350987	−	0.153777i
$716$	11.5253			0.430722
$717$	9.14231			0.341426
$718$	2.84058	−	12.4454i	0.106010	−	0.464459i
$719$	−37.0315	+	17.8334i	−1.38104	+	0.665075i	−0.969222	−	0.246190i	$-0.920821\pi$
$719$	−37.0315	+	17.8334i	−1.38104	+	0.665075i	−0.411820	+	0.911265i	$0.635107\pi$
$720$	−2.13138	−	2.67267i	−0.0794320	−	0.0996046i
$721$	6.43988	+	3.79101i	0.239834	+	0.141185i
$722$	10.6457	−	13.3493i	0.396192	−	0.496809i
$723$	−3.19977	+	14.0191i	−0.119001	+	0.521376i
$724$	−10.7714	+	13.5069i	−0.400317	+	0.501981i
$725$	41.6243	−	20.0452i	1.54589	−	0.744461i
$726$	−10.7300	−	13.4550i	−0.398228	−	0.499363i
$727$	−26.6008	−	12.8103i	−0.986571	−	0.475107i	−0.130210	−	0.991486i	$-0.541565\pi$
$727$	−26.6008	−	12.8103i	−0.986571	−	0.475107i	−0.856360	+	0.516379i	$0.827280\pi$
$728$	7.60456	−	2.91063i	0.281844	−	0.107875i
$729$	−26.8590	+	12.9346i	−0.994778	+	0.479060i
$730$	39.3714	+	18.9603i	1.45720	+	0.701751i
$731$	−1.82908	−	8.01374i	−0.0676511	−	0.296399i
$732$	−10.2475	−	4.93496i	−0.378760	−	0.182401i
$733$	0.979110	−	1.22776i	0.0361642	−	0.0453485i	−0.763420	−	0.645902i	$-0.776482\pi$
$733$	0.979110	−	1.22776i	0.0361642	−	0.0453485i	0.799585	+	0.600553i	$0.205053\pi$
$734$	0.385057			0.0142127
$735$	18.9516	+	34.1455i	0.699040	+	1.25948i
$736$	−15.1416			−0.558128
$737$	−10.7443	+	13.4729i	−0.395770	+	0.496279i
$738$	−1.94053	−	0.934509i	−0.0714318	−	0.0343997i
$739$	−5.13166	−	22.4833i	−0.188771	−	0.827061i	−0.977266	−	0.212019i	$-0.931996\pi$
$739$	−5.13166	−	22.4833i	−0.188771	−	0.827061i	0.788494	−	0.615042i	$-0.210861\pi$
$740$	13.7005	+	6.59783i	0.503642	+	0.242541i
$741$	−2.83914	+	1.36726i	−0.104298	+	0.0502274i
$742$	−15.8591	−	9.33587i	−0.582205	−	0.342731i
$743$	−9.61694	−	4.63127i	−0.352811	−	0.169905i	0.249080	−	0.968483i	$-0.419872\pi$
$743$	−9.61694	−	4.63127i	−0.352811	−	0.169905i	−0.601891	+	0.798578i	$0.705586\pi$
$744$	4.58003	+	5.74317i	0.167912	+	0.210555i
$745$	−46.1410	+	22.2203i	−1.69048	+	0.814090i
$746$	15.0077	−	18.8191i	0.549471	−	0.689015i
$747$	0.508065	−	2.22598i	0.0185891	−	0.0814443i
$748$	1.37884	−	1.72901i	0.0504153	−	0.0632188i
$749$	−27.5423	−	41.1401i	−1.00637	−	1.50323i
$750$	−9.14835	−	11.4717i	−0.334051	−	0.418886i
$751$	18.3850	−	8.85375i	0.670878	−	0.323078i	−0.0672522	−	0.997736i	$-0.521423\pi$
$751$	18.3850	−	8.85375i	0.670878	−	0.323078i	0.738130	+	0.674658i	$0.235709\pi$
$752$	−2.92074	+	12.7966i	−0.106508	+	0.466644i
$753$	−31.5154			−1.14849
$754$	−7.15022			−0.260396
$755$	16.9504	−	74.2647i	0.616889	−	2.70277i
$756$	9.77003	−	3.73946i	0.355332	−	0.136003i
$757$	1.80842	+	7.92319i	0.0657280	+	0.287973i	0.997101	−	0.0760941i	$-0.0242449\pi$
$757$	1.80842	+	7.92319i	0.0657280	+	0.287973i	−0.931373	+	0.364067i	$0.881388\pi$
$758$	1.47257	+	6.45174i	0.0534861	+	0.234338i
$759$	4.71125	+	5.90772i	0.171008	+	0.214437i
$760$	−13.3543	−	16.7457i	−0.484410	−	0.607431i
$761$	−2.87296	−	12.5873i	−0.104145	−	0.456288i	−0.999930	−	0.0118016i	$-0.996243\pi$
$761$	−2.87296	−	12.5873i	−0.104145	−	0.456288i	0.895786	−	0.444486i	$-0.146614\pi$
$762$	−4.89025	−	21.4256i	−0.177155	−	0.776168i
$763$	9.26656	−	9.81918i	0.335472	−	0.355478i
$764$	0.208615	−	0.914002i	0.00754743	−	0.0330674i
$765$	4.27550			0.154581
$766$	−32.4994			−1.17425
$767$	0.529351	−	2.31924i	0.0191137	−	0.0837428i
$768$	−21.0792	+	10.1512i	−0.760631	+	0.366301i
$769$	5.09880	+	6.39370i	0.183868	+	0.230563i	0.865219	−	0.501393i	$-0.167179\pi$
$769$	5.09880	+	6.39370i	0.183868	+	0.230563i	−0.681352	+	0.731956i	$0.738608\pi$
$770$	3.82887	−	12.0503i	0.137983	−	0.434262i
$771$	−4.92120	+	6.17099i	−0.177233	+	0.222243i
$772$	−3.29478	+	14.4354i	−0.118582	+	0.519540i
$773$	23.1316	−	29.0061i	0.831985	−	1.04328i	−0.166377	−	0.986062i	$-0.553207\pi$
$773$	23.1316	−	29.0061i	0.831985	−	1.04328i	0.998362	−	0.0572136i	$-0.0182216\pi$
$774$	−1.54739	+	0.745183i	−0.0556197	+	0.0267850i
$775$	−6.85510	−	8.59602i	−0.246242	−	0.308778i
$776$	27.4405	+	13.2147i	0.985057	+	0.474378i
$777$	17.4593	−	18.5005i	0.626349	−	0.663702i
$778$	−35.4304	+	17.0624i	−1.27024	+	0.611716i
$779$	−7.16471	−	3.45034i	−0.256702	−	0.123621i
$780$	−0.889014	−	3.89502i	−0.0318318	−	0.139464i
$781$	11.1203	+	5.35528i	0.397917	+	0.191627i
$782$	−7.18415	+	9.00863i	−0.256905	+	0.322148i
$783$	−34.8419			−1.24515
$784$	13.8150	−	4.00689i	0.493394	−	0.143103i
$785$	29.0534			1.03696
$786$	8.35076	−	10.4715i	0.297862	−	0.373507i
$787$	−17.5866	−	8.46927i	−0.626895	−	0.301897i	0.0933319	−	0.995635i	$-0.470248\pi$
$787$	−17.5866	−	8.46927i	−0.626895	−	0.301897i	−0.720227	+	0.693738i	$0.755963\pi$
$788$	−3.50794	−	15.3693i	−0.124965	−	0.547509i
$789$	−21.4924	−	10.3502i	−0.765150	−	0.368477i
$790$	27.7582	−	13.3677i	0.987594	−	0.475600i
$791$	3.94242	+	5.88881i	0.140176	+	0.209382i
$792$	−1.57900	−	0.760405i	−0.0561072	−	0.0270198i
$793$	−6.23056	−	7.81288i	−0.221254	−	0.277444i
$794$	31.3961	−	15.1196i	1.11421	−	0.536573i
$795$	−21.3528	+	26.7756i	−0.757306	+	0.949632i
$796$	−2.69164	+	11.7928i	−0.0954025	+	0.417986i
$797$	28.7200	−	36.0137i	1.01731	−	1.27567i	0.0565226	−	0.998401i	$-0.481999\pi$
$797$	28.7200	−	36.0137i	1.01731	−	1.27567i	0.960792	−	0.277271i	$-0.0894299\pi$
$798$	−8.82268	+	3.37686i	−0.312319	+	0.119540i
$799$	−10.2354	−	12.8348i	−0.362103	−	0.454063i
$800$	25.2421	−	12.1559i	0.892442	−	0.429778i
$801$	−0.438418	+	1.92084i	−0.0154908	+	0.0678694i
$802$	44.6606			1.57702
$803$	13.2017			0.465879
$804$	−3.63231	+	15.9142i	−0.128102	+	0.561250i
$805$	11.1275	−	35.0208i	0.392194	−	1.23432i
$806$	0.378649	+	1.65897i	0.0133373	+	0.0584347i
$807$	2.30302	+	10.0902i	0.0810700	+	0.355191i
$808$	−1.57417	−	1.97395i	−0.0553792	−	0.0694434i
$809$	16.1334	+	20.2306i	0.567219	+	0.711270i	0.979874	−	0.199617i	$-0.0639699\pi$
$809$	16.1334	+	20.2306i	0.567219	+	0.711270i	−0.412655	+	0.910887i	$0.635398\pi$
$810$	6.50816	+	28.5141i	0.228673	+	1.00188i
$811$	7.09851	+	31.1006i	0.249262	+	1.09209i	0.932294	+	0.361701i	$0.117804\pi$
$811$	7.09851	+	31.1006i	0.249262	+	1.09209i	−0.683032	+	0.730389i	$0.739339\pi$
$812$	11.9149	+	0.994249i	0.418130	+	0.0348913i
$813$	3.19025	−	13.9774i	0.111887	−	0.490209i
$814$	−8.23609			−0.288675
$815$	62.5139			2.18977
$816$	−1.86782	+	8.18345i	−0.0653867	+	0.286478i
$817$	−5.71319	+	2.75133i	−0.199879	+	0.0962567i
$818$	−14.9987	−	18.8078i	−0.524418	−	0.657599i
$819$	1.24956	+	0.104270i	0.0436630	+	0.00364350i
$820$	6.28608	−	7.88249i	0.219519	−	0.275268i
$821$	2.14583	−	9.40151i	0.0748901	−	0.328115i	−0.923580	−	0.383405i	$-0.874751\pi$
$821$	2.14583	−	9.40151i	0.0748901	−	0.328115i	0.998470	+	0.0552903i	$0.0176084\pi$
$822$	−4.85296	+	6.08542i	−0.169266	+	0.212253i
$823$	−23.2662	+	11.2044i	−0.811008	+	0.390561i	−0.792958	−	0.609276i	$-0.791460\pi$
$823$	−23.2662	+	11.2044i	−0.811008	+	0.390561i	−0.0180498	+	0.999837i	$0.505746\pi$
$824$	−5.41975	−	6.79615i	−0.188806	−	0.236755i
$825$	−12.5968	−	6.06629i	−0.438563	−	0.211201i
$826$	2.15959	−	6.79669i	0.0751417	−	0.236487i
$827$	−14.1817	+	6.82954i	−0.493145	+	0.237486i	−0.663892	−	0.747829i	$-0.731096\pi$
$827$	−14.1817	+	6.82954i	−0.493145	+	0.237486i	0.170746	+	0.985315i	$0.445382\pi$
$828$	−1.20990	−	0.582657i	−0.0420469	−	0.0202487i
$829$	−1.12260	−	4.91842i	−0.0389894	−	0.170824i	0.951685	−	0.307077i	$-0.0993510\pi$
$829$	−1.12260	−	4.91842i	−0.0389894	−	0.170824i	−0.990674	+	0.136253i	$0.956494\pi$
$830$	−17.2636	−	8.31372i	−0.599229	−	0.288573i
$831$	−1.10574	+	1.38656i	−0.0383579	+	0.0480992i
$832$	−8.44590			−0.292809
$833$	−6.85489	+	16.6335i	−0.237508	+	0.576316i
$834$	−31.4443			−1.08883
$835$	4.17132	−	5.23067i	0.144354	−	0.181015i
$836$	−1.53709	−	0.740225i	−0.0531614	−	0.0256012i
$837$	1.84510	+	8.08390i	0.0637759	+	0.279420i
$838$	19.6773	+	9.47607i	0.679740	+	0.327345i
$839$	32.2232	−	15.5179i	1.11247	−	0.535736i	0.214910	−	0.976634i	$-0.431054\pi$
$839$	32.2232	−	15.5179i	1.11247	−	0.535736i	0.897557	+	0.440898i	$0.145340\pi$
$840$	−6.39051	−	44.9747i	−0.220493	−	1.55177i
$841$	−9.74970	−	4.69521i	−0.336196	−	0.161904i
$842$	−15.9487	−	19.9991i	−0.549629	−	0.689213i
$843$	30.6658	−	14.7679i	1.05619	−	0.508633i
$844$	−0.663977	+	0.832600i	−0.0228550	+	0.0286593i
$845$	0.781082	−	3.42214i	0.0268700	−	0.117725i
$846$	−2.13862	+	2.68174i	−0.0735271	+	0.0922001i
$847$	3.55683	+	25.0320i	0.122214	+	0.860110i
$848$	7.86502	+	9.86242i	0.270086	+	0.338677i
$849$	42.8143	−	20.6183i	1.46938	−	0.707618i
$850$	4.74416	−	20.7855i	0.162723	−	0.712938i
$851$	−23.9359			−0.820512
$852$	11.6916			0.400547
$853$	12.0802	−	52.9268i	0.413618	−	1.81218i	−0.153035	−	0.988221i	$-0.548905\pi$
$853$	12.0802	−	52.9268i	0.413618	−	1.81218i	0.566652	−	0.823957i	$-0.308238\pi$
$854$	−16.6659	−	24.8940i	−0.570296	−	0.851854i
$855$	−0.733945	−	3.21562i	−0.0251004	−	0.109972i
$856$	12.8148	+	56.1454i	0.438001	+	1.91901i
$857$	−5.40373	−	6.77607i	−0.184588	−	0.231466i	0.680924	−	0.732354i	$-0.261578\pi$
$857$	−5.40373	−	6.77607i	−0.184588	−	0.231466i	−0.865512	+	0.500888i	$0.833007\pi$
$858$	1.34915	+	1.69178i	0.0460593	+	0.0577565i
$859$	−5.12053	−	22.4345i	−0.174710	−	0.765456i	−0.984018	−	0.178070i	$-0.943015\pi$
$859$	−5.12053	−	22.4345i	−0.174710	−	0.765456i	0.809307	−	0.587385i	$-0.199843\pi$
$860$	−1.78896	−	7.83795i	−0.0610030	−	0.267272i
$861$	−9.38271	−	14.0150i	−0.319762	−	0.477630i
$862$	4.72775	−	20.7136i	0.161028	−	0.705509i
$863$	33.7383			1.14847			0.574233	−	0.818692i	$-0.305300\pi$
$863$	33.7383			1.14847			0.574233	+	0.818692i	$0.305300\pi$
$864$	−21.1290			−0.718824
$865$	−10.1177	+	44.3283i	−0.344011	+	1.50721i
$866$	26.9157	−	12.9619i	0.914634	−	0.440465i
$867$	10.3006	+	12.9165i	0.349827	+	0.438669i
$868$	−0.400285	−	2.81710i	−0.0135866	−	0.0956186i
$869$	5.80326	−	7.27705i	0.196862	−	0.246857i
$870$	−8.87643	+	38.8902i	−0.300939	+	1.31850i
$871$	−8.94188	+	11.2128i	−0.302984	+	0.379930i
$872$	−14.1497	+	6.81414i	−0.479170	+	0.230756i
$873$	2.92425	+	3.66689i	0.0989708	+	0.124105i
$874$	8.00869	+	3.85678i	0.270898	+	0.130458i
$875$	3.03253	+	21.3421i	0.102518	+	0.721496i
$876$	11.2669	−	5.42587i	0.380675	−	0.183323i
$877$	5.20372	+	2.50598i	0.175717	+	0.0846210i	0.519674	−	0.854364i	$-0.326053\pi$
$877$	5.20372	+	2.50598i	0.175717	+	0.0846210i	−0.343957	+	0.938985i	$0.611768\pi$
$878$	3.84599	+	16.8504i	0.129796	+	0.568673i
$879$	−26.2318	−	12.6326i	−0.884778	−	0.426086i
$880$	−5.40375	+	6.77609i	−0.182161	+	0.228422i
$881$	−17.7473			−0.597920			−0.298960	−	0.954266i	$-0.596640\pi$
$881$	−17.7473			−0.597920			−0.298960	+	0.954266i	$0.596640\pi$
$882$	3.70701	+	0.623009i	0.124822	+	0.0209778i
$883$	−3.90435			−0.131392			−0.0656959	−	0.997840i	$-0.520927\pi$
$883$	−3.90435			−0.131392			−0.0656959	+	0.997840i	$0.520927\pi$
$884$	1.14754	−	1.43896i	0.0385958	−	0.0483976i
$885$	−11.9572	−	5.75830i	−0.401938	−	0.193563i
$886$	−1.19641	−	5.24180i	−0.0401941	−	0.176102i
$887$	−18.3623	−	8.84283i	−0.616547	−	0.296913i	0.0994223	−	0.995045i	$-0.468301\pi$
$887$	−18.3623	−	8.84283i	−0.616547	−	0.296913i	−0.715969	+	0.698132i	$0.754015\pi$
$888$	−26.6598	+	12.8387i	−0.894644	+	0.430838i
$889$	−9.77717	+	30.7709i	−0.327916	+	1.03202i
$890$	14.8971	+	7.17406i	0.499352	+	0.240475i
$891$	5.50905	+	6.90813i	0.184560	+	0.231431i
$892$	14.1738	−	6.82573i	0.474573	−	0.228543i
$893$	−7.89609	+	9.90138i	−0.264232	+	0.331337i
$894$	5.84664	−	25.6158i	0.195541	−	0.856721i
$895$	35.2224	−	44.1675i	1.17736	−	1.47636i
$896$	−5.05249	−	0.421610i	−0.168792	−	0.0140850i
$897$	3.92093	+	4.91669i	0.130916	+	0.164163i
$898$	−34.3009	+	16.5184i	−1.14464	+	0.551227i
$899$	−2.10879	+	9.23922i	−0.0703321	+	0.308145i
$900$	2.48475			0.0828249
$901$	−15.7770			−0.525609
$902$	−1.21511	+	5.32373i	−0.0404586	+	0.177261i
$903$	−13.4023	−	1.11837i	−0.446001	−	0.0372170i
$904$	−1.83432	−	8.03667i	−0.0610085	−	0.267296i
$905$	18.8430	+	82.5567i	0.626364	+	2.74428i
$906$	24.3667	+	30.5549i	0.809531	+	1.01512i
$907$	−1.42892	−	1.79181i	−0.0474466	−	0.0594961i	0.757542	−	0.652786i	$-0.226400\pi$
$907$	−1.42892	−	1.79181i	−0.0474466	−	0.0594961i	−0.804989	+	0.593290i	$0.797829\pi$
$908$	1.80530	+	7.90955i	0.0599111	+	0.262488i
$909$	−0.0865160	−	0.379051i	−0.00286955	−	0.0125723i
$910$	3.18657	−	10.0288i	0.105634	−	0.332453i
$911$	2.29785	−	10.0675i	0.0761311	−	0.333552i	−0.922492	−	0.386017i	$-0.873851\pi$
$911$	2.29785	−	10.0675i	0.0761311	−	0.333552i	0.998623	+	0.0524648i	$0.0167077\pi$
$912$	6.47545			0.214424
$913$	−5.78871			−0.191579
$914$	8.09386	−	35.4615i	0.267721	−	1.17296i
$915$	−50.2292	+	24.1891i	−1.66053	+	0.799667i
$916$	5.97056	+	7.48684i	0.197273	+	0.247372i
$917$	−18.3770	+	7.03377i	−0.606863	+	0.232276i
$918$	−10.0249	+	12.5709i	−0.330873	+	0.414901i
$919$	−10.8224	+	47.4159i	−0.356997	+	1.56411i	0.403633	+	0.914921i	$0.367747\pi$
$919$	−10.8224	+	47.4159i	−0.356997	+	1.56411i	−0.760630	+	0.649185i	$0.775110\pi$
$920$	−26.6504	+	33.4185i	−0.878636	+	1.10177i
$921$	−20.1347	+	9.69638i	−0.663462	+	0.319506i
$922$	9.05051	+	11.3490i	0.298063	+	0.373759i
$923$	9.25489	+	4.45692i	0.304628	+	0.146701i
$924$	−2.01293	−	3.00673i	−0.0662206	−	0.0989141i
$925$	39.9027	−	19.2161i	1.31199	−	0.631822i
$926$	39.1457	+	18.8516i	1.28641	+	0.619501i
$927$	−0.297867	−	1.30504i	−0.00978325	−	0.0428632i
$928$	−21.7572	−	10.4777i	−0.714216	−	0.343948i
$929$	−22.1183	+	27.7355i	−0.725679	+	0.909973i	−0.998644	−	0.0520513i	$-0.983424\pi$
$929$	−22.1183	+	27.7355i	−0.725679	+	0.909973i	0.272966	+	0.962024i	$0.411996\pi$
$930$	9.49324			0.311296
$931$	13.6868	+	2.30024i	0.448568	+	0.0753874i
$932$	−7.44593			−0.243900
$933$	−32.2432	+	40.4316i	−1.05559	+	1.32367i
$934$	−10.4456	−	5.03032i	−0.341789	−	0.164597i
$935$	−2.41208	−	10.5680i	−0.0788834	−	0.345611i
$936$	−1.31412	−	0.632846i	−0.0429533	−	0.0206852i
$937$	15.0722	−	7.25841i	0.492389	−	0.237122i	−0.171176	−	0.985240i	$-0.554757\pi$
$937$	15.0722	−	7.25841i	0.492389	−	0.237122i	0.663565	+	0.748118i	$0.269043\pi$
$938$	−29.5089	+	31.2687i	−0.963499	+	1.02096i
$939$	16.1512	+	7.77800i	0.527074	+	0.253826i
$940$	−10.0109	−	12.5533i	−0.326520	−	0.409443i
$941$	−0.688900	+	0.331757i	−0.0224575	+	0.0108150i	−0.445079	−	0.895491i	$-0.646824\pi$
$941$	−0.688900	+	0.331757i	−0.0224575	+	0.0108150i	0.422621	+	0.906306i	$0.361110\pi$
$942$	−9.29361	+	11.6538i	−0.302802	+	0.379702i
$943$	−3.53137	+	15.4719i	−0.114997	+	0.503836i
$944$	−3.04786	+	3.82190i	−0.0991995	+	0.124392i
$945$	15.5277	−	48.8689i	0.505115	−	1.58971i
$946$	2.71489	+	3.40437i	0.0882688	+	0.110686i
$947$	−31.3379	+	15.0915i	−1.01834	+	0.490409i	−0.867125	−	0.498091i	$-0.834035\pi$
$947$	−31.3379	+	15.0915i	−1.01834	+	0.490409i	−0.151220	+	0.988500i	$0.548320\pi$
$948$	1.96191	−	8.59567i	0.0637197	−	0.279174i
$949$	10.9871			0.356657
$950$	−16.4473			−0.533621
$951$	1.06414	−	4.66230i	0.0345071	−	0.151185i
$952$	14.3632	−	15.2197i	0.465513	−	0.493274i
$953$	11.8010	+	51.7037i	0.382273	+	1.67485i	0.690342	+	0.723483i	$0.257460\pi$
$953$	11.8010	+	51.7037i	0.382273	+	1.67485i	−0.308069	+	0.951364i	$0.599683\pi$
$954$	0.733538	+	3.21384i	0.0237492	+	0.104052i
$955$	−2.86511	−	3.59273i	−0.0927126	−	0.116258i
$956$	2.56834	+	3.22059i	0.0830659	+	0.104161i
$957$	2.68163	+	11.7490i	0.0866848	+	0.379791i
$958$	5.51072	+	24.1440i	0.178043	+	0.780058i
$959$	10.6796	−	4.08760i	0.344863	−	0.131996i
$960$	−10.4849	+	45.9375i	−0.338400	+	1.48263i
$961$	−28.7447			−0.927248
$962$	−6.85447			−0.220997
$963$	−1.97340	+	8.64602i	−0.0635919	+	0.278614i
$964$	−5.83746	+	2.81117i	−0.188012	+	0.0905417i
$965$	45.2503	+	56.7421i	1.45666	+	1.82659i
$966$	10.4880	+	15.6659i	0.337445	+	0.504043i
$967$	17.9182	−	22.4687i	0.576211	−	0.722545i	−0.405251	−	0.914206i	$-0.632816\pi$
$967$	17.9182	−	22.4687i	0.576211	−	0.722545i	0.981461	+	0.191660i	$0.0613872\pi$
$968$	6.54439	−	28.6728i	0.210345	−	0.921580i
$969$	−5.04956	+	6.33195i	−0.162215	+	0.203411i
$970$	35.4624	−	17.0778i	1.13863	−	0.548335i
$971$	11.9700	+	15.0099i	0.384135	+	0.481690i	0.935878	−	0.352324i	$-0.114609\pi$
$971$	11.9700	+	15.0099i	0.384135	+	0.481690i	−0.551743	+	0.834014i	$0.686037\pi$
$972$	−3.14632	−	1.51519i	−0.100918	−	0.0485997i
$973$	39.8105	+	23.4355i	1.27626	+	0.751308i
$974$	19.8642	−	9.56610i	0.636491	−	0.306518i
$975$	−10.4836	−	5.04865i	−0.335745	−	0.161686i
$976$	4.56943	+	20.0200i	0.146264	+	0.640824i
$977$	7.29362	+	3.51242i	0.233344	+	0.112372i	0.546902	−	0.837196i	$-0.315807\pi$
$977$	7.29362	+	3.51242i	0.233344	+	0.112372i	−0.313559	+	0.949569i	$0.601521\pi$
$978$	−19.9970	+	25.0754i	−0.639433	+	0.801824i
$979$	4.99519			0.159647
$980$	−6.70452	+	16.2686i	−0.214168	+	0.519681i
$981$	−2.41847			−0.0772157
$982$	16.3812	−	20.5413i	0.522744	−	0.655501i
$983$	23.7084	+	11.4174i	0.756181	+	0.364157i	0.771921	−	0.635719i	$-0.219296\pi$
$983$	23.7084	+	11.4174i	0.756181	+	0.364157i	−0.0157400	+	0.999876i	$0.505010\pi$
$984$	4.36556	+	19.1268i	0.139169	+	0.609739i
$985$	−69.6190	−	33.5268i	−2.21825	−	1.06825i
$986$	−16.5568	+	7.97334i	−0.527276	+	0.253923i
$987$	−25.0850	+	9.60123i	−0.798465	+	0.305611i
$988$	−1.27924	−	0.616050i	−0.0406981	−	0.0195992i
$989$	7.89007	+	9.89384i	0.250890	+	0.314606i
$990$	−2.04060	+	0.982700i	−0.0648544	+	0.0312322i
$991$	−12.0416	+	15.0997i	−0.382514	+	0.479657i	−0.935396	−	0.353603i	$-0.884957\pi$
$991$	−12.0416	+	15.0997i	−0.382514	+	0.479657i	0.552882	+	0.833259i	$0.313528\pi$
$992$	−1.27883	+	5.60290i	−0.0406028	+	0.177892i
$993$	−2.28122	+	2.86056i	−0.0723923	+	0.0907771i
$994$	26.5376	+	15.6221i	0.841722	+	0.495502i
$995$	36.9668	+	46.3549i	1.17193	+	1.46955i
$996$	−4.94034	+	2.37914i	−0.156541	+	0.0753860i
$997$	−7.29993	+	31.9831i	−0.231191	+	1.01291i	0.717462	+	0.696597i	$0.245304\pi$
$997$	−7.29993	+	31.9831i	−0.231191	+	1.01291i	−0.948653	+	0.316317i	$0.897554\pi$
$998$	−19.6389			−0.621658
$999$	−33.4008			−1.05675

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.92.10	✓	162
49.8	even	7	inner	637.2.w.a.547.10	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.10	✓	162	1.1	even	1	trivial
637.2.w.a.547.10	yes	162	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)

\(f(q)\)	\(=\)	\(q+(-0.706465 + 0.885879i) q^{2} +(1.43197 + 0.689598i) q^{3} +(0.159353 + 0.698171i) q^{4} +(3.16254 + 1.52300i) q^{5} +(-1.62253 + 0.781371i) q^{6} +(2.63659 + 0.220013i) q^{7} +(-2.77282 - 1.33532i) q^{8} +(-0.295490 - 0.370533i) q^{9} +O(q^{10})\)	\(q+(-0.706465 + 0.885879i) q^{2} +(1.43197 + 0.689598i) q^{3} +(0.159353 + 0.698171i) q^{4} +(3.16254 + 1.52300i) q^{5} +(-1.62253 + 0.781371i) q^{6} +(2.63659 + 0.220013i) q^{7} +(-2.77282 - 1.33532i) q^{8} +(-0.295490 - 0.370533i) q^{9} +(-3.58341 + 1.72568i) q^{10} +(-0.749163 + 0.939421i) q^{11} +(-0.253269 + 1.10965i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-2.05756 + 2.18027i) q^{14} +(3.47839 + 4.36176i) q^{15} +(1.85141 - 0.891593i) q^{16} +(-0.571898 + 2.50565i) q^{17} +0.537000 q^{18} +1.98268 q^{19} +(-0.559353 + 2.45068i) q^{20} +(3.62378 + 2.13324i) q^{21} +(-0.302956 - 1.32734i) q^{22} +(-0.880456 - 3.85753i) q^{23} +(-3.04974 - 3.82426i) q^{24} +(4.56466 + 5.72391i) q^{25} +(-0.252134 - 1.10467i) q^{26} +(-1.22861 - 5.38290i) q^{27} +(0.266542 + 1.87585i) q^{28} +(1.40420 - 6.15220i) q^{29} -6.32135 q^{30} -1.50177 q^{31} +(0.851543 - 3.73085i) q^{32} +(-1.72060 + 0.828597i) q^{33} +(-1.81568 - 2.27679i) q^{34} +(8.00322 + 4.71131i) q^{35} +(0.211608 - 0.265348i) q^{36} +(1.34612 - 5.89774i) q^{37} +(-1.40070 + 1.75642i) q^{38} +(-1.43197 + 0.689598i) q^{39} +(-6.73544 - 8.44598i) q^{40} +(-3.61364 - 1.74024i) q^{41} +(-4.44986 + 1.70318i) q^{42} +(-2.88154 + 1.38768i) q^{43} +(-0.775258 - 0.373345i) q^{44} +(-0.370177 - 1.62185i) q^{45} +(4.03932 + 1.94523i) q^{46} +(-3.98252 + 4.99393i) q^{47} +3.26600 q^{48} +(6.90319 + 1.16017i) q^{49} -8.29547 q^{50} +(-2.54683 + 3.19362i) q^{51} +(-0.645207 - 0.310715i) q^{52} +(1.36599 + 5.98480i) q^{53} +(5.63657 + 2.71443i) q^{54} +(-3.79999 + 1.82998i) q^{55} +(-7.01698 - 4.13074i) q^{56} +(2.83914 + 1.36726i) q^{57} +(4.45809 + 5.59026i) q^{58} +(-2.14330 + 1.03216i) q^{59} +(-2.49096 + 3.12357i) q^{60} +(-2.22366 + 9.74250i) q^{61} +(1.06095 - 1.33039i) q^{62} +(-0.697563 - 1.04195i) q^{63} +(5.26593 + 6.60327i) q^{64} +(-3.16254 + 1.52300i) q^{65} +(0.481506 - 2.10962i) q^{66} +14.3417 q^{67} -1.84050 q^{68} +(1.39936 - 6.13101i) q^{69} +(-9.82765 + 3.76151i) q^{70} +(-2.28577 - 10.0146i) q^{71} +(0.324560 + 1.42199i) q^{72} +(-6.85036 - 8.59008i) q^{73} +(4.27369 + 5.35904i) q^{74} +(2.58925 + 11.3442i) q^{75} +(0.315947 + 1.38425i) q^{76} +(-2.18192 + 2.31204i) q^{77} +(0.400733 - 1.75573i) q^{78} -7.74632 q^{79} +7.21305 q^{80} +(1.63633 - 7.16923i) q^{81} +(4.09455 - 1.97183i) q^{82} +(3.00375 + 3.76659i) q^{83} +(-0.911903 + 2.86996i) q^{84} +(-5.62474 + 7.05321i) q^{85} +(0.806393 - 3.53304i) q^{86} +(6.25331 - 7.84141i) q^{87} +(3.33172 - 1.60447i) q^{88} +(-2.59199 - 3.25026i) q^{89} +(1.69828 + 0.817850i) q^{90} +(-1.81590 + 1.92419i) q^{91} +(2.55291 - 1.22942i) q^{92} +(-2.15049 - 1.03562i) q^{93} +(-1.61050 - 7.05607i) q^{94} +(6.27031 + 3.01962i) q^{95} +(3.79217 - 4.75523i) q^{96} -9.89627 q^{97} +(-5.90463 + 5.29577i) q^{98} +0.569456 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Introduction

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