LMFDB - Embedded newform 350.2.h.a.281.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(71,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("350.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	$\Q(\zeta_{15})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 $ x^8 - x^7 + x^5 - x^4 + x^3 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			281.2
Root			$0.669131 - 0.743145i$ of defining polynomial
Character	$\chi$	$=$	350.281
Dual form			350.2.h.a.71.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(1.47815 - 1.07394i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.11803 - 1.93649i) q^{5} +(1.47815 + 1.07394i) q^{6} +1.00000 q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.104528 - 0.321706i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(1.47815 - 1.07394i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.11803 - 1.93649i) q^{5} +(1.47815 + 1.07394i) q^{6} +1.00000 q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.104528 - 0.321706i) q^{9} +(2.18720 + 0.464905i) q^{10} +(-0.284341 - 0.875112i) q^{11} +(-0.564602 + 1.73767i) q^{12} +(0.486494 - 1.49728i) q^{13} +(0.309017 + 0.951057i) q^{14} +(-0.427051 - 4.06312i) q^{15} +(0.309017 - 0.951057i) q^{16} +(3.08268 + 2.23970i) q^{17} +0.338261 q^{18} +(-1.83826 - 1.33557i) q^{19} +(0.233733 + 2.22382i) q^{20} +(1.47815 - 1.07394i) q^{21} +(0.744415 - 0.540849i) q^{22} +(-0.0315794 - 0.0971915i) q^{23} -1.82709 q^{24} +(-2.50000 - 4.33013i) q^{25} +1.57433 q^{26} +(1.50282 + 4.62521i) q^{27} +(-0.809017 + 0.587785i) q^{28} +(-2.01807 + 1.46622i) q^{29} +(3.73229 - 1.66172i) q^{30} +(3.20810 + 2.33082i) q^{31} +1.00000 q^{32} +(-1.36011 - 0.988180i) q^{33} +(-1.17748 + 3.62390i) q^{34} +(1.11803 - 1.93649i) q^{35} +(0.104528 + 0.321706i) q^{36} +(-0.656215 + 2.01962i) q^{37} +(0.702153 - 2.16101i) q^{38} +(-0.888870 - 2.73566i) q^{39} +(-2.04275 + 0.909491i) q^{40} +(-2.69411 + 8.29161i) q^{41} +(1.47815 + 1.07394i) q^{42} -7.79817 q^{43} +(0.744415 + 0.540849i) q^{44} +(-0.506114 - 0.562096i) q^{45} +(0.0826761 - 0.0600677i) q^{46} +(-5.68014 + 4.12686i) q^{47} +(-0.564602 - 1.73767i) q^{48} +1.00000 q^{49} +(3.34565 - 3.71572i) q^{50} +6.96194 q^{51} +(0.486494 + 1.49728i) q^{52} +(0.315131 - 0.228956i) q^{53} +(-3.93444 + 2.85854i) q^{54} +(-2.01255 - 0.427781i) q^{55} +(-0.809017 - 0.587785i) q^{56} -4.15154 q^{57} +(-2.01807 - 1.46622i) q^{58} +(0.101705 - 0.313016i) q^{59} +(2.73373 + 3.03612i) q^{60} +(-2.09161 - 6.43732i) q^{61} +(-1.22539 + 3.77135i) q^{62} +(0.104528 - 0.321706i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-2.35555 - 2.61610i) q^{65} +(0.519517 - 1.59891i) q^{66} +(0.132495 + 0.0962629i) q^{67} -3.81040 q^{68} +(-0.151057 - 0.109749i) q^{69} +(2.18720 + 0.464905i) q^{70} +(-3.87345 + 2.81423i) q^{71} +(-0.273659 + 0.198825i) q^{72} +(3.83225 + 11.7945i) q^{73} -2.12356 q^{74} +(-8.34565 - 3.71572i) q^{75} +2.27222 q^{76} +(-0.284341 - 0.875112i) q^{77} +(2.32709 - 1.69073i) q^{78} +(8.66062 - 6.29231i) q^{79} +(-1.49622 - 1.66172i) q^{80} +(8.00956 + 5.81929i) q^{81} -8.71832 q^{82} +(-12.5337 - 9.10630i) q^{83} +(-0.564602 + 1.73767i) q^{84} +(7.78369 - 3.46552i) q^{85} +(-2.40977 - 7.41650i) q^{86} +(-1.40839 + 4.33457i) q^{87} +(-0.284341 + 0.875112i) q^{88} +(-3.07403 - 9.46088i) q^{89} +(0.378188 - 0.655040i) q^{90} +(0.486494 - 1.49728i) q^{91} +(0.0826761 + 0.0600677i) q^{92} +7.24520 q^{93} +(-5.68014 - 4.12686i) q^{94} +(-4.64157 + 2.06656i) q^{95} +(1.47815 - 1.07394i) q^{96} +(7.66535 - 5.56920i) q^{97} +(0.309017 + 0.951057i) q^{98} -0.311250 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 2 q^{2} + 3 q^{3} - 2 q^{4} + 3 q^{6} + 8 q^{7} - 2 q^{8} - q^{9}+O(q^{10}) $ 8 * q - 2 * q^2 + 3 * q^3 - 2 * q^4 + 3 * q^6 + 8 * q^7 - 2 * q^8 - q^9	\( 8 q - 2 q^{2} + 3 q^{3} - 2 q^{4} + 3 q^{6} + 8 q^{7} - 2 q^{8} - q^{9} + 5 q^{10} - q^{11} - 2 q^{12} + 11 q^{13} - 2 q^{14} + 10 q^{15} - 2 q^{16} + 14 q^{17} - 6 q^{18} - 6 q^{19} - 5 q^{20} + 3 q^{21} + 4 q^{22} + 15 q^{23} - 2 q^{24} - 20 q^{25} - 14 q^{26} - 2 q^{28} - 8 q^{29} - 5 q^{30} - 7 q^{31} + 8 q^{32} - 11 q^{33} - 21 q^{34} - q^{36} + 14 q^{37} + 14 q^{38} - 4 q^{39} - 5 q^{40} + 3 q^{41} + 3 q^{42} - 6 q^{43} + 4 q^{44} - 10 q^{45} - 10 q^{46} + 2 q^{47} - 2 q^{48} + 8 q^{49} + 5 q^{50} + 14 q^{51} + 11 q^{52} + 4 q^{53} - 5 q^{54} + 20 q^{55} - 2 q^{56} - 36 q^{57} - 8 q^{58} + 11 q^{59} + 15 q^{60} + 13 q^{62} - q^{63} - 2 q^{64} - 20 q^{65} + 24 q^{66} + 14 q^{67} + 14 q^{68} - 5 q^{69} + 5 q^{70} + 23 q^{71} + 4 q^{72} - 5 q^{73} - 36 q^{74} - 45 q^{75} - 16 q^{76} - q^{77} + 6 q^{78} + 2 q^{79} + 5 q^{80} - 7 q^{81} - 12 q^{82} - 27 q^{83} - 2 q^{84} + 15 q^{85} + 4 q^{86} - 28 q^{87} - q^{88} - 15 q^{89} - 5 q^{90} + 11 q^{91} - 10 q^{92} + 38 q^{93} + 2 q^{94} + 20 q^{95} + 3 q^{96} + 40 q^{97} - 2 q^{98} - 8 q^{99}+O(q^{100}) \) 8 * q - 2 * q^2 + 3 * q^3 - 2 * q^4 + 3 * q^6 + 8 * q^7 - 2 * q^8 - q^9 + 5 * q^10 - q^11 - 2 * q^12 + 11 * q^13 - 2 * q^14 + 10 * q^15 - 2 * q^16 + 14 * q^17 - 6 * q^18 - 6 * q^19 - 5 * q^20 + 3 * q^21 + 4 * q^22 + 15 * q^23 - 2 * q^24 - 20 * q^25 - 14 * q^26 - 2 * q^28 - 8 * q^29 - 5 * q^30 - 7 * q^31 + 8 * q^32 - 11 * q^33 - 21 * q^34 - q^36 + 14 * q^37 + 14 * q^38 - 4 * q^39 - 5 * q^40 + 3 * q^41 + 3 * q^42 - 6 * q^43 + 4 * q^44 - 10 * q^45 - 10 * q^46 + 2 * q^47 - 2 * q^48 + 8 * q^49 + 5 * q^50 + 14 * q^51 + 11 * q^52 + 4 * q^53 - 5 * q^54 + 20 * q^55 - 2 * q^56 - 36 * q^57 - 8 * q^58 + 11 * q^59 + 15 * q^60 + 13 * q^62 - q^63 - 2 * q^64 - 20 * q^65 + 24 * q^66 + 14 * q^67 + 14 * q^68 - 5 * q^69 + 5 * q^70 + 23 * q^71 + 4 * q^72 - 5 * q^73 - 36 * q^74 - 45 * q^75 - 16 * q^76 - q^77 + 6 * q^78 + 2 * q^79 + 5 * q^80 - 7 * q^81 - 12 * q^82 - 27 * q^83 - 2 * q^84 + 15 * q^85 + 4 * q^86 - 28 * q^87 - q^88 - 15 * q^89 - 5 * q^90 + 11 * q^91 - 10 * q^92 + 38 * q^93 + 2 * q^94 + 20 * q^95 + 3 * q^96 + 40 * q^97 - 2 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{2}{5}\right)$

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 $

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	1.47815	−	1.07394i	0.853409	−	0.620038i	−0.0726749	−	0.997356i	$-0.523154\pi$
$3$	1.47815	−	1.07394i	0.853409	−	0.620038i	0.926084	+	0.377318i	$0.123154\pi$
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	1.11803	−	1.93649i	0.500000	−	0.866025i
$5$	1.11803	−	1.93649i	0.500000	−	0.866025i
$6$	1.47815	+	1.07394i	0.603451	+	0.438433i
$7$	1.00000			0.377964
$7$	1.00000			0.377964
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	0.104528	−	0.321706i	0.0348428	−	0.107235i
$10$	2.18720	+	0.464905i	0.691655	+	0.147016i
$11$	−0.284341	−	0.875112i	−0.0857321	−	0.263856i	0.898996	−	0.437958i	$-0.144298\pi$
$11$	−0.284341	−	0.875112i	−0.0857321	−	0.263856i	−0.984728	+	0.174101i	$0.944298\pi$
$12$	−0.564602	+	1.73767i	−0.162987	+	0.501621i
$13$	0.486494	−	1.49728i	0.134929	−	0.415270i	−0.860650	−	0.509197i	$-0.829942\pi$
$13$	0.486494	−	1.49728i	0.134929	−	0.415270i	0.995579	+	0.0939278i	$0.0299423\pi$
$14$	0.309017	+	0.951057i	0.0825883	+	0.254181i
$15$	−0.427051	−	4.06312i	−0.110264	−	1.04909i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	3.08268	+	2.23970i	0.747659	+	0.543206i	0.895100	−	0.445865i	$-0.147104\pi$
$17$	3.08268	+	2.23970i	0.747659	+	0.543206i	−0.147442	+	0.989071i	$0.547104\pi$
$18$	0.338261			0.0797289
$19$	−1.83826	−	1.33557i	−0.421726	−	0.306402i	0.356606	−	0.934255i	$-0.383934\pi$
$19$	−1.83826	−	1.33557i	−0.421726	−	0.306402i	−0.778332	+	0.627853i	$0.783934\pi$
$20$	0.233733	+	2.22382i	0.0522642	+	0.497261i
$21$	1.47815	−	1.07394i	0.322558	−	0.234352i
$22$	0.744415	−	0.540849i	0.158710	−	0.115309i
$23$	−0.0315794	−	0.0971915i	−0.00658477	−	0.0202658i	0.947710	−	0.319132i	$-0.103391\pi$
$23$	−0.0315794	−	0.0971915i	−0.00658477	−	0.0202658i	−0.954295	+	0.298867i	$0.903391\pi$
$24$	−1.82709			−0.372953
$25$	−2.50000	−	4.33013i	−0.500000	−	0.866025i
$26$	1.57433			0.308751
$27$	1.50282	+	4.62521i	0.289219	+	0.890123i
$28$	−0.809017	+	0.587785i	−0.152890	+	0.111081i
$29$	−2.01807	+	1.46622i	−0.374747	+	0.272270i	−0.759177	−	0.650885i	$-0.774398\pi$
$29$	−2.01807	+	1.46622i	−0.374747	+	0.272270i	0.384430	+	0.923154i	$0.374398\pi$
$30$	3.73229	−	1.66172i	0.681420	−	0.303388i
$31$	3.20810	+	2.33082i	0.576192	+	0.418628i	0.837349	−	0.546668i	$-0.184104\pi$
$31$	3.20810	+	2.33082i	0.576192	+	0.418628i	−0.261157	+	0.965296i	$0.584104\pi$
$32$	1.00000			0.176777
$33$	−1.36011	−	0.988180i	−0.236765	−	0.172020i
$34$	−1.17748	+	3.62390i	−0.201936	+	0.621494i
$35$	1.11803	−	1.93649i	0.188982	−	0.327327i
$36$	0.104528	+	0.321706i	0.0174214	+	0.0536176i
$37$	−0.656215	+	2.01962i	−0.107881	+	0.332024i	−0.990396	−	0.138261i	$-0.955849\pi$
$37$	−0.656215	+	2.01962i	−0.107881	+	0.332024i	0.882515	+	0.470285i	$0.155849\pi$
$38$	0.702153	−	2.16101i	0.113904	−	0.350561i
$39$	−0.888870	−	2.73566i	−0.142333	−	0.438056i
$40$	−2.04275	+	0.909491i	−0.322987	+	0.143803i
$41$	−2.69411	+	8.29161i	−0.420749	+	1.29493i	0.486257	+	0.873816i	$0.338362\pi$
$41$	−2.69411	+	8.29161i	−0.420749	+	1.29493i	−0.907006	+	0.421117i	$0.861638\pi$
$42$	1.47815	+	1.07394i	0.228083	+	0.165712i
$43$	−7.79817			−1.18921			−0.594605	−	0.804018i	$-0.702691\pi$
$43$	−7.79817			−1.18921			−0.594605	+	0.804018i	$0.702691\pi$
$44$	0.744415	+	0.540849i	0.112225	+	0.0815361i
$45$	−0.506114	−	0.562096i	−0.0754470	−	0.0837924i
$46$	0.0826761	−	0.0600677i	0.0121899	−	0.00885650i
$47$	−5.68014	+	4.12686i	−0.828533	+	0.601964i	−0.919144	−	0.393922i	$-0.871118\pi$
$47$	−5.68014	+	4.12686i	−0.828533	+	0.601964i	0.0906109	+	0.995886i	$0.471118\pi$
$48$	−0.564602	−	1.73767i	−0.0814933	−	0.250811i
$49$	1.00000			0.142857
$50$	3.34565	−	3.71572i	0.473147	−	0.525483i
$51$	6.96194			0.974867
$52$	0.486494	+	1.49728i	0.0674646	+	0.207635i
$53$	0.315131	−	0.228956i	0.0432865	−	0.0314495i	−0.565932	−	0.824452i	$-0.691483\pi$
$53$	0.315131	−	0.228956i	0.0432865	−	0.0314495i	0.609218	+	0.793003i	$0.291483\pi$
$54$	−3.93444	+	2.85854i	−0.535410	+	0.388998i
$55$	−2.01255	−	0.427781i	−0.271372	−	0.0576820i
$56$	−0.809017	−	0.587785i	−0.108109	−	0.0785461i
$57$	−4.15154			−0.549886
$58$	−2.01807	−	1.46622i	−0.264986	−	0.192524i
$59$	0.101705	−	0.313016i	0.0132409	−	0.0407512i	−0.944218	−	0.329322i	$-0.893180\pi$
$59$	0.101705	−	0.313016i	0.0132409	−	0.0407512i	0.957459	+	0.288570i	$0.0931800\pi$
$60$	2.73373	+	3.03612i	0.352923	+	0.391961i
$61$	−2.09161	−	6.43732i	−0.267804	−	0.824215i	−0.991034	−	0.133608i	$-0.957344\pi$
$61$	−2.09161	−	6.43732i	−0.267804	−	0.824215i	0.723231	−	0.690607i	$-0.242656\pi$
$62$	−1.22539	+	3.77135i	−0.155624	+	0.478962i
$63$	0.104528	−	0.321706i	0.0131693	−	0.0405311i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−2.35555	−	2.61610i	−0.292169	−	0.324487i
$66$	0.519517	−	1.59891i	0.0639481	−	0.196812i
$67$	0.132495	+	0.0962629i	0.0161868	+	0.0117604i	0.595849	−	0.803096i	$-0.296816\pi$
$67$	0.132495	+	0.0962629i	0.0161868	+	0.0117604i	−0.579662	+	0.814857i	$0.696816\pi$
$68$	−3.81040			−0.462079
$69$	−0.151057	−	0.109749i	−0.0181851	−	0.0132122i
$70$	2.18720	+	0.464905i	0.261421	+	0.0555667i
$71$	−3.87345	+	2.81423i	−0.459694	+	0.333988i	−0.793411	−	0.608686i	$-0.791697\pi$
$71$	−3.87345	+	2.81423i	−0.459694	+	0.333988i	0.333717	+	0.942673i	$0.391697\pi$
$72$	−0.273659	+	0.198825i	−0.0322510	+	0.0234317i
$73$	3.83225	+	11.7945i	0.448531	+	1.38044i	0.878565	+	0.477623i	$0.158502\pi$
$73$	3.83225	+	11.7945i	0.448531	+	1.38044i	−0.430034	+	0.902813i	$0.641498\pi$
$74$	−2.12356			−0.246859
$75$	−8.34565	−	3.71572i	−0.963673	−	0.429055i
$76$	2.27222			0.260641
$77$	−0.284341	−	0.875112i	−0.0324037	−	0.0997283i
$78$	2.32709	−	1.69073i	0.263491	−	0.191438i
$79$	8.66062	−	6.29231i	0.974396	−	0.707940i	0.0179466	−	0.999839i	$-0.494287\pi$
$79$	8.66062	−	6.29231i	0.974396	−	0.707940i	0.956449	+	0.291899i	$0.0942871\pi$
$80$	−1.49622	−	1.66172i	−0.167283	−	0.185786i
$81$	8.00956	+	5.81929i	0.889951	+	0.646587i
$82$	−8.71832			−0.962777
$83$	−12.5337	−	9.10630i	−1.37576	−	0.999547i	−0.997262	−	0.0739433i	$-0.976442\pi$
$83$	−12.5337	−	9.10630i	−1.37576	−	0.999547i	−0.378495	−	0.925603i	$-0.623558\pi$
$84$	−0.564602	+	1.73767i	−0.0616031	+	0.189595i
$85$	7.78369	−	3.46552i	0.844259	−	0.375889i
$86$	−2.40977	−	7.41650i	−0.259852	−	0.799742i
$87$	−1.40839	+	4.33457i	−0.150995	+	0.464715i
$88$	−0.284341	+	0.875112i	−0.0303109	+	0.0932873i
$89$	−3.07403	−	9.46088i	−0.325846	−	1.00285i	−0.971057	−	0.238847i	$-0.923231\pi$
$89$	−3.07403	−	9.46088i	−0.325846	−	1.00285i	0.645211	−	0.764005i	$-0.276769\pi$
$90$	0.378188	−	0.655040i	0.0398645	−	0.0690473i
$91$	0.486494	−	1.49728i	0.0509985	−	0.156957i
$92$	0.0826761	+	0.0600677i	0.00861958	+	0.00626249i
$93$	7.24520			0.751293
$94$	−5.68014	−	4.12686i	−0.585861	−	0.425653i
$95$	−4.64157	+	2.06656i	−0.476215	+	0.212025i
$96$	1.47815	−	1.07394i	0.150863	−	0.109608i
$97$	7.66535	−	5.56920i	0.778299	−	0.565467i	−0.126169	−	0.992009i	$-0.540268\pi$
$97$	7.66535	−	5.56920i	0.778299	−	0.565467i	0.904468	+	0.426542i	$0.140268\pi$
$98$	0.309017	+	0.951057i	0.0312154	+	0.0960712i
$99$	−0.311250			−0.0312818
$100$	4.56773	+	2.03368i	0.456773	+	0.203368i
$101$	8.25552			0.821455			0.410728	−	0.911758i	$-0.365275\pi$
$101$	8.25552			0.821455			0.410728	+	0.911758i	$0.365275\pi$
$102$	2.15136	+	6.62120i	0.213016	+	0.655597i
$103$	−11.6754	+	8.48268i	−1.15041	+	0.835823i	−0.988536	−	0.150988i	$-0.951754\pi$
$103$	−11.6754	+	8.48268i	−1.15041	+	0.835823i	−0.161876	+	0.986811i	$0.551754\pi$
$104$	−1.27366	+	0.925367i	−0.124893	+	0.0907397i
$105$	−0.427051	−	4.06312i	−0.0416759	−	0.396520i
$106$	0.315131	+	0.228956i	0.0306082	+	0.0222382i
$107$	−16.6420			−1.60884			−0.804419	−	0.594062i	$-0.797523\pi$
$107$	−16.6420			−1.60884			−0.804419	+	0.594062i	$0.797523\pi$
$108$	−3.93444	−	2.85854i	−0.378592	−	0.275063i
$109$	2.88558	−	8.88090i	0.276388	−	0.850636i	−0.712460	−	0.701712i	$-0.752419\pi$
$109$	2.88558	−	8.88090i	0.276388	−	0.850636i	0.988849	−	0.148924i	$-0.0475808\pi$
$110$	−0.215069	−	2.04624i	−0.0205060	−	0.195101i
$111$	1.19897	+	3.69004i	0.113801	+	0.350243i
$112$	0.309017	−	0.951057i	0.0291994	−	0.0898664i
$113$	−5.23974	+	16.1263i	−0.492914	+	1.51703i	0.327269	+	0.944931i	$0.393872\pi$
$113$	−5.23974	+	16.1263i	−0.492914	+	1.51703i	−0.820183	+	0.572101i	$0.806128\pi$
$114$	−1.28290	−	3.94835i	−0.120154	−	0.369797i
$115$	−0.223518	−	0.0475101i	−0.0208431	−	0.00443034i
$116$	0.770836	−	2.37239i	0.0715703	−	0.220271i
$117$	−0.430829	−	0.313016i	−0.0398302	−	0.0289383i
$118$	0.329124			0.0302984
$119$	3.08268	+	2.23970i	0.282588	+	0.205313i
$120$	−2.04275	+	3.53815i	−0.186477	+	0.322987i
$121$	8.21422	−	5.96798i	0.746747	−	0.542543i
$122$	5.47591	−	3.97848i	0.495766	−	0.360195i
$123$	4.92238	+	15.1495i	0.443836	+	1.36599i
$124$	−3.96543			−0.356106
$125$	−11.1803			−1.00000
$126$	0.338261			0.0301347
$127$	−3.82476	−	11.7714i	−0.339392	−	1.04454i	−0.964518	−	0.264018i	$-0.914952\pi$
$127$	−3.82476	−	11.7714i	−0.339392	−	1.04454i	0.625126	−	0.780524i	$-0.285048\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	−11.5268	+	8.37474i	−1.01488	+	0.737355i
$130$	1.76015	−	3.04868i	0.154376	−	0.267387i
$131$	−1.82630	−	1.32689i	−0.159565	−	0.115931i	0.505138	−	0.863039i	$-0.331442\pi$
$131$	−1.82630	−	1.32689i	−0.159565	−	0.115931i	−0.664702	+	0.747108i	$0.731442\pi$
$132$	1.68119			0.146329
$133$	−1.83826	−	1.33557i	−0.159397	−	0.115809i
$134$	−0.0506084	+	0.155757i	−0.00437190	+	0.0134553i
$135$	10.6369	+	2.26094i	0.915478	+	0.194591i
$136$	−1.17748	−	3.62390i	−0.100968	−	0.310747i
$137$	−0.0433400	+	0.133387i	−0.00370279	+	0.0113960i	−0.952891	−	0.303313i	$-0.901907\pi$
$137$	−0.0433400	+	0.133387i	−0.00370279	+	0.0113960i	0.949188	+	0.314709i	$0.101907\pi$
$138$	0.0576985	−	0.177578i	0.00491162	−	0.0151164i
$139$	−6.35603	−	19.5619i	−0.539112	−	1.65922i	−0.734593	−	0.678508i	$-0.762627\pi$
$139$	−6.35603	−	19.5619i	−0.539112	−	1.65922i	0.195481	−	0.980707i	$-0.437373\pi$
$140$	0.233733	+	2.22382i	0.0197540	+	0.187947i
$141$	−3.96409	+	12.2002i	−0.333837	+	1.02744i
$142$	−3.87345	−	2.81423i	−0.325053	−	0.236165i
$143$	−1.44861			−0.121139
$144$	−0.273659	−	0.198825i	−0.0228049	−	0.0165687i
$145$	0.583041	+	5.54726i	0.0484189	+	0.460675i
$146$	−10.0330	+	7.28937i	−0.830334	+	0.603273i
$147$	1.47815	−	1.07394i	0.121916	−	0.0885768i
$148$	−0.656215	−	2.01962i	−0.0539406	−	0.166012i
$149$	6.67559			0.546886			0.273443	−	0.961888i	$-0.411838\pi$
$149$	6.67559			0.546886			0.273443	+	0.961888i	$0.411838\pi$
$150$	0.954915	−	9.08541i	0.0779685	−	0.741821i
$151$	22.1845			1.80535			0.902674	−	0.430326i	$-0.141601\pi$
$151$	22.1845			1.80535			0.902674	+	0.430326i	$0.141601\pi$
$152$	0.702153	+	2.16101i	0.0569522	+	0.175281i
$153$	1.04275	−	0.757602i	0.0843013	−	0.0612485i
$154$	0.744415	−	0.540849i	0.0599867	−	0.0435829i
$155$	8.10039	−	3.60652i	0.650639	−	0.289683i
$156$	2.32709	+	1.69073i	0.186316	+	0.135367i
$157$	11.6985			0.933645			0.466822	−	0.884351i	$-0.345399\pi$
$157$	11.6985			0.933645			0.466822	+	0.884351i	$0.345399\pi$
$158$	8.66062	+	6.29231i	0.689002	+	0.500589i
$159$	0.219926	−	0.676861i	0.0174412	−	0.0536786i
$160$	1.11803	−	1.93649i	0.0883883	−	0.153093i
$161$	−0.0315794	−	0.0971915i	−0.00248881	−	0.00765977i
$162$	−3.05938	+	9.41580i	−0.240368	+	0.739775i
$163$	−2.16545	+	6.66458i	−0.169611	+	0.522010i	−0.999346	−	0.0361471i	$-0.988492\pi$
$163$	−2.16545	+	6.66458i	−0.169611	+	0.522010i	0.829735	+	0.558158i	$0.188492\pi$
$164$	−2.69411	−	8.29161i	−0.210375	−	0.647466i
$165$	−3.43426	+	1.52903i	−0.267356	+	0.119035i
$166$	4.78747	−	14.7343i	0.371579	−	1.14360i
$167$	16.4217	+	11.9310i	1.27075	+	0.923251i	0.999232	−	0.0391830i	$-0.0124755\pi$
$167$	16.4217	+	11.9310i	1.27075	+	0.923251i	0.271514	+	0.962434i	$0.412476\pi$
$168$	−1.82709			−0.140963
$169$	8.51206	+	6.18438i	0.654774	+	0.475721i
$170$	5.70120	+	6.33182i	0.437262	+	0.485629i
$171$	−0.621812	+	0.451773i	−0.0475512	+	0.0345480i
$172$	6.30885	−	4.58365i	0.481045	−	0.349500i
$173$	7.16848	+	22.0623i	0.545009	+	1.67737i	0.720968	+	0.692968i	$0.243697\pi$
$173$	7.16848	+	22.0623i	0.545009	+	1.67737i	−0.175959	+	0.984398i	$0.556303\pi$
$174$	−4.55764			−0.345513
$175$	−2.50000	−	4.33013i	−0.188982	−	0.327327i
$176$	−0.920147			−0.0693587
$177$	−0.185824	−	0.571909i	−0.0139674	−	0.0429873i
$178$	8.04791	−	5.84715i	0.603216	−	0.438262i
$179$	10.1540	−	7.37732i	0.758947	−	0.551407i	−0.139640	−	0.990202i	$-0.544595\pi$
$179$	10.1540	−	7.37732i	0.758947	−	0.551407i	0.898587	+	0.438795i	$0.144595\pi$
$180$	0.739846	+	0.157259i	0.0551449	+	0.0117214i
$181$	10.5345	+	7.65377i	0.783024	+	0.568900i	0.905885	−	0.423524i	$-0.139207\pi$
$181$	10.5345	+	7.65377i	0.783024	+	0.568900i	−0.122861	+	0.992424i	$0.539207\pi$
$182$	1.57433			0.116697
$183$	−10.0050	−	7.26905i	−0.739590	−	0.537344i
$184$	−0.0315794	+	0.0971915i	−0.00232807	+	0.00716506i
$185$	3.17731	+	3.52876i	0.233601	+	0.259440i
$186$	2.23889	+	6.89060i	0.164163	+	0.505243i
$187$	1.08345	−	3.33452i	0.0792299	−	0.243845i
$188$	2.16962	−	6.67740i	0.158236	−	0.486999i
$189$	1.50282	+	4.62521i	0.109314	+	0.336435i
$190$	−3.39974	−	3.77579i	−0.246643	−	0.273925i
$191$	−6.08406	+	18.7248i	−0.440227	+	1.35488i	0.447408	+	0.894330i	$0.352347\pi$
$191$	−6.08406	+	18.7248i	−0.440227	+	1.35488i	−0.887634	+	0.460549i	$0.847653\pi$
$192$	1.47815	+	1.07394i	0.106676	+	0.0775047i
$193$	14.5699			1.04876			0.524381	−	0.851484i	$-0.324297\pi$
$193$	14.5699			1.04876			0.524381	+	0.851484i	$0.324297\pi$
$194$	7.66535	+	5.56920i	0.550340	+	0.399846i
$195$	−6.29137	−	1.33727i	−0.450534	−	0.0957640i
$196$	−0.809017	+	0.587785i	−0.0577869	+	0.0419847i
$197$	6.33119	−	4.59988i	0.451079	−	0.327728i	−0.338943	−	0.940807i	$-0.610069\pi$
$197$	6.33119	−	4.59988i	0.451079	−	0.327728i	0.790022	+	0.613079i	$0.210069\pi$
$198$	−0.0961816	−	0.296016i	−0.00683533	−	0.0210370i
$199$	2.77018			0.196373			0.0981865	−	0.995168i	$-0.468696\pi$
$199$	2.77018			0.196373			0.0981865	+	0.995168i	$0.468696\pi$
$200$	−0.522642	+	4.97261i	−0.0369564	+	0.351617i
$201$	0.299227			0.0211058
$202$	2.55110	+	7.85147i	0.179495	+	0.552427i
$203$	−2.01807	+	1.46622i	−0.141641	+	0.102908i
$204$	−5.63233	+	4.09213i	−0.394342	+	0.286506i
$205$	13.0445	+	14.4874i	0.911070	+	1.01185i
$206$	−11.6754	−	8.48268i	−0.813464	−	0.591016i
$207$	−0.0345680			−0.00240264
$208$	−1.27366	−	0.925367i	−0.0883124	−	0.0641627i
$209$	−0.646085	+	1.98844i	−0.0446906	+	0.137544i
$210$	3.73229	−	1.66172i	0.257552	−	0.114670i
$211$	−6.64439	−	20.4493i	−0.457419	−	1.40779i	−0.868272	−	0.496089i	$-0.834769\pi$
$211$	−6.64439	−	20.4493i	−0.457419	−	1.40779i	0.410853	−	0.911702i	$-0.365231\pi$
$212$	−0.120369	+	0.370458i	−0.00826699	+	0.0254432i
$213$	−2.70323	+	8.31969i	−0.185222	+	0.570056i
$214$	−5.14265	−	15.8274i	−0.351544	−	1.08194i
$215$	−8.71862	+	15.1011i	−0.594605	+	1.02989i
$216$	1.50282	−	4.62521i	0.102254	−	0.314706i
$217$	3.20810	+	2.33082i	0.217780	+	0.158227i
$218$	9.33793			0.632444
$219$	18.3311	+	13.3183i	1.23870	+	0.899970i
$220$	1.87963	−	0.836866i	0.126725	−	0.0564215i
$221$	4.85315	−	3.52602i	0.326458	−	0.237186i
$222$	−3.13893	+	2.28057i	−0.210671	+	0.153062i
$223$	−6.32496	−	19.4662i	−0.423550	−	1.30355i	−0.904376	−	0.426737i	$-0.859663\pi$
$223$	−6.32496	−	19.4662i	−0.423550	−	1.30355i	0.480825	−	0.876816i	$-0.340337\pi$
$224$	1.00000			0.0668153
$225$	−1.65435	+	0.351642i	−0.110290	+	0.0234428i
$226$	−16.9562			−1.12791
$227$	−2.33176	−	7.17642i	−0.154764	−	0.476316i	0.843373	−	0.537329i	$-0.180567\pi$
$227$	−2.33176	−	7.17642i	−0.154764	−	0.476316i	−0.998137	+	0.0610134i	$0.980567\pi$
$228$	3.35867	−	2.44022i	0.222433	−	0.161607i
$229$	−0.803170	+	0.583538i	−0.0530750	+	0.0385612i	−0.614006	−	0.789301i	$-0.710443\pi$
$229$	−0.803170	+	0.583538i	−0.0530750	+	0.0385612i	0.560931	+	0.827862i	$0.310443\pi$
$230$	−0.0238859	−	0.227259i	−0.00157499	−	0.0149850i
$231$	−1.36011	−	0.988180i	−0.0894889	−	0.0650175i
$232$	2.49448			0.163770
$233$	−13.6761	−	9.93629i	−0.895953	−	0.650948i	0.0414700	−	0.999140i	$-0.486796\pi$
$233$	−13.6761	−	9.93629i	−0.895953	−	0.650948i	−0.937423	+	0.348191i	$0.886796\pi$
$234$	0.164562	−	0.506470i	0.0107578	−	0.0331090i
$235$	1.64105	+	15.6135i	0.107050	+	1.01851i
$236$	0.101705	+	0.313016i	0.00662043	+	0.0203756i
$237$	6.04413	−	18.6019i	0.392608	−	1.20832i
$238$	−1.17748	+	3.62390i	−0.0763245	+	0.234903i
$239$	−2.96319	−	9.11975i	−0.191673	−	0.589907i	−0.999999	−	0.00117334i	$-0.999627\pi$
$239$	−2.96319	−	9.11975i	−0.191673	−	0.589907i	0.808327	−	0.588734i	$-0.200373\pi$
$240$	−3.99622	−	0.849423i	−0.257955	−	0.0548300i
$241$	−3.10717	+	9.56287i	−0.200150	+	0.615999i	0.799728	+	0.600363i	$0.204977\pi$
$241$	−3.10717	+	9.56287i	−0.200150	+	0.615999i	−0.999878	+	0.0156357i	$0.995023\pi$
$242$	8.21422	+	5.96798i	0.528030	+	0.383636i
$243$	3.49915			0.224470
$244$	5.47591	+	3.97848i	0.350559	+	0.254696i
$245$	1.11803	−	1.93649i	0.0714286	−	0.123718i
$246$	−12.8870	+	9.36292i	−0.821643	+	0.596958i
$247$	−2.89403	+	2.10263i	−0.184143	+	0.133787i
$248$	−1.22539	−	3.77135i	−0.0778121	−	0.239481i
$249$	−28.3063			−1.79384
$250$	−3.45492	−	10.6331i	−0.218508	−	0.672499i
$251$	−25.3452			−1.59977			−0.799886	−	0.600152i	$-0.795107\pi$
$251$	−25.3452			−1.59977			−0.799886	+	0.600152i	$0.795107\pi$
$252$	0.104528	+	0.321706i	0.00658467	+	0.0202655i
$253$	−0.0760742	+	0.0552711i	−0.00478274	+	0.00347487i
$254$	10.0133	−	7.27512i	0.628293	−	0.456481i
$255$	7.78369	−	13.4817i	0.487433	−	0.844259i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	17.2542			1.07629			0.538144	−	0.842853i	$-0.319126\pi$
$257$	17.2542			1.07629			0.538144	+	0.842853i	$0.319126\pi$
$258$	−11.5268	−	8.37474i	−0.717630	−	0.521389i
$259$	−0.656215	+	2.01962i	−0.0407752	+	0.125493i
$260$	3.44338	+	0.731913i	0.213549	+	0.0453913i
$261$	0.260744	+	0.802487i	0.0161396	+	0.0496727i
$262$	0.697585	−	2.14695i	0.0430969	−	0.132639i
$263$	4.15394	−	12.7845i	0.256143	−	0.788327i	−0.737459	−	0.675392i	$-0.763975\pi$
$263$	4.15394	−	12.7845i	0.256143	−	0.788327i	0.993602	−	0.112936i	$-0.0360254\pi$
$264$	0.519517	+	1.59891i	0.0319741	+	0.0984061i
$265$	−0.0910443	−	0.866228i	−0.00559281	−	0.0532120i
$266$	0.702153	−	2.16101i	0.0430518	−	0.132500i
$267$	−14.7043	−	10.6833i	−0.899886	−	0.653806i
$268$	−0.163772			−0.0100040
$269$	9.60745	+	6.98022i	0.585777	+	0.425592i	0.840802	−	0.541343i	$-0.182084\pi$
$269$	9.60745	+	6.98022i	0.585777	+	0.425592i	−0.255025	+	0.966934i	$0.582084\pi$
$270$	1.13670	+	10.8150i	0.0691772	+	0.658178i
$271$	3.96145	−	2.87816i	0.240641	−	0.174836i	−0.460928	−	0.887438i	$-0.652483\pi$
$271$	3.96145	−	2.87816i	0.240641	−	0.174836i	0.701569	+	0.712602i	$0.252483\pi$
$272$	3.08268	−	2.23970i	0.186915	−	0.135801i
$273$	−0.888870	−	2.73566i	−0.0537968	−	0.165570i
$274$	−0.140251			−0.00847288
$275$	−3.07849	+	3.41901i	−0.185640	+	0.206174i
$276$	0.186716			0.0112390
$277$	−8.86385	−	27.2801i	−0.532577	−	1.63910i	−0.748827	−	0.662766i	$-0.769382\pi$
$277$	−8.86385	−	27.2801i	−0.532577	−	1.63910i	0.216250	−	0.976338i	$-0.430618\pi$
$278$	16.6403	−	12.0899i	0.998020	−	0.725104i
$279$	1.08518	−	0.788427i	0.0649678	−	0.0472019i
$280$	−2.04275	+	0.909491i	−0.122078	+	0.0543525i
$281$	−20.2524	−	14.7142i	−1.20816	−	0.877776i	−0.213093	−	0.977032i	$-0.568354\pi$
$281$	−20.2524	−	14.7142i	−1.20816	−	0.877776i	−0.995062	+	0.0992559i	$0.968354\pi$
$282$	−12.8281			−0.763900
$283$	−21.5982	−	15.6920i	−1.28388	−	0.932791i	−0.284214	−	0.958761i	$-0.591733\pi$
$283$	−21.5982	−	15.6920i	−1.28388	−	0.932791i	−0.999663	+	0.0259697i	$0.991733\pi$
$284$	1.47953	−	4.55352i	0.0877938	−	0.270202i
$285$	−4.64157	+	8.03943i	−0.274943	+	0.476215i
$286$	−0.447647	−	1.37771i	−0.0264699	−	0.0814660i
$287$	−2.69411	+	8.29161i	−0.159028	+	0.489438i
$288$	0.104528	−	0.321706i	0.00615940	−	0.0189567i
$289$	−0.766632	−	2.35945i	−0.0450960	−	0.138791i
$290$	−5.09559	+	2.26870i	−0.299223	+	0.133223i
$291$	5.34955	−	16.4642i	0.313596	−	0.965149i
$292$	−10.0330	−	7.28937i	−0.587135	−	0.426578i
$293$	25.2420			1.47465			0.737326	−	0.675537i	$-0.236088\pi$
$293$	25.2420			1.47465			0.737326	+	0.675537i	$0.236088\pi$
$294$	1.47815	+	1.07394i	0.0862073	+	0.0626333i
$295$	−0.492443	−	0.546913i	−0.0286711	−	0.0318425i
$296$	1.71799	−	1.24820i	0.0998564	−	0.0725499i
$297$	3.62027	−	2.63028i	0.210069	−	0.152624i
$298$	2.06287	+	6.34886i	0.119499	+	0.367780i
$299$	−0.160886			−0.00930427
$300$	8.93582	−	1.89937i	0.515910	−	0.109660i
$301$	−7.79817			−0.449479
$302$	6.85538	+	21.0987i	0.394483	+	1.21409i
$303$	12.2029	−	8.86591i	0.701037	−	0.509333i
$304$	−1.83826	+	1.33557i	−0.105432	+	0.0766005i
$305$	−14.8043	−	3.14675i	−0.847693	−	0.180183i
$306$	1.04275	+	0.757602i	0.0596100	+	0.0433092i
$307$	−4.38822			−0.250449			−0.125224	−	0.992128i	$-0.539965\pi$
$307$	−4.38822			−0.250449			−0.125224	+	0.992128i	$0.539965\pi$
$308$	0.744415	+	0.540849i	0.0424170	+	0.0308177i
$309$	−8.14811	+	25.0773i	−0.463530	+	1.42660i
$310$	5.93316	+	6.58945i	0.336981	+	0.374255i
$311$	1.53001	+	4.70890i	0.0867591	+	0.267017i	0.985019	−	0.172449i	$-0.0551679\pi$
$311$	1.53001	+	4.70890i	0.0867591	+	0.267017i	−0.898259	+	0.439466i	$0.855168\pi$
$312$	−0.888870	+	2.73566i	−0.0503223	+	0.154876i
$313$	−7.21062	+	22.1920i	−0.407569	+	1.25437i	0.511163	+	0.859484i	$0.329215\pi$
$313$	−7.21062	+	22.1920i	−0.407569	+	1.25437i	−0.918731	+	0.394883i	$0.870785\pi$
$314$	3.61505	+	11.1260i	0.204009	+	0.627875i
$315$	−0.506114	−	0.562096i	−0.0285163	−	0.0316705i
$316$	−3.30806	+	10.1812i	−0.186093	+	0.572735i
$317$	−11.9086	−	8.65214i	−0.668856	−	0.485953i	0.200786	−	0.979635i	$-0.435650\pi$
$317$	−11.9086	−	8.65214i	−0.668856	−	0.485953i	−0.869642	+	0.493683i	$0.835650\pi$
$318$	0.711694			0.0399098
$319$	1.85693	+	1.34914i	0.103968	+	0.0755371i
$320$	2.18720	+	0.464905i	0.122268	+	0.0259890i
$321$	−24.5993	+	17.8724i	−1.37300	+	0.997541i
$322$	0.0826761	−	0.0600677i	0.00460736	−	0.00334744i
$323$	−2.67548	−	8.23429i	−0.148868	−	0.458168i
$324$	−9.90036			−0.550020
$325$	−7.69963	+	1.63661i	−0.427099	+	0.0907826i
$326$	−7.00756			−0.388113
$327$	−5.27222	−	16.2262i	−0.291554	−	0.897312i
$328$	7.05327	−	5.12450i	0.389452	−	0.282953i
$329$	−5.68014	+	4.12686i	−0.313156	+	0.227521i
$330$	−2.51544	−	2.79368i	−0.138470	−	0.153787i
$331$	5.25525	+	3.81817i	0.288855	+	0.209865i	0.722770	−	0.691088i	$-0.242868\pi$
$331$	5.25525	+	3.81817i	0.288855	+	0.209865i	−0.433916	+	0.900954i	$0.642868\pi$
$332$	15.4926			0.850265
$333$	0.581131	+	0.422216i	0.0318458	+	0.0231373i
$334$	−6.27252	+	19.3048i	−0.343217	+	1.05631i
$335$	0.334546	−	0.148949i	0.0182782	−	0.00813797i
$336$	−0.564602	−	1.73767i	−0.0308016	−	0.0947975i
$337$	3.44598	−	10.6056i	0.187714	−	0.577725i	−0.812270	−	0.583281i	$-0.801769\pi$
$337$	3.44598	−	10.6056i	0.187714	−	0.577725i	0.999985	+	0.00555591i	$0.00176851\pi$
$338$	−3.25132	+	10.0065i	−0.176848	+	0.544283i
$339$	9.57349	+	29.4642i	0.519961	+	1.60027i
$340$	−4.26015	+	7.37880i	−0.231039	+	0.400172i
$341$	1.12754	−	3.47020i	0.0610595	−	0.187922i
$342$	−0.621812	−	0.451773i	−0.0336238	−	0.0244291i
$343$	1.00000			0.0539949
$344$	6.30885	+	4.58365i	0.340150	+	0.247134i
$345$	−0.381415	+	0.169817i	−0.0205347	+	0.00914263i
$346$	−18.7673	+	13.6353i	−1.00894	+	0.733036i
$347$	−19.4876	+	14.1586i	−1.04615	+	0.760074i	−0.971477	−	0.237134i	$-0.923792\pi$
$347$	−19.4876	+	14.1586i	−1.04615	+	0.760074i	−0.0746748	+	0.997208i	$0.523792\pi$
$348$	−1.40839	−	4.33457i	−0.0754975	−	0.232357i
$349$	7.97864			0.427087			0.213543	−	0.976934i	$-0.431500\pi$
$349$	7.97864			0.427087			0.213543	+	0.976934i	$0.431500\pi$
$350$	3.34565	−	3.71572i	0.178833	−	0.198614i
$351$	7.65634			0.408665
$352$	−0.284341	−	0.875112i	−0.0151554	−	0.0466436i
$353$	15.2240	−	11.0609i	0.810294	−	0.588713i	−0.103622	−	0.994617i	$-0.533043\pi$
$353$	15.2240	−	11.0609i	0.810294	−	0.588713i	0.913916	+	0.405904i	$0.133043\pi$
$354$	0.486494	−	0.353459i	0.0258569	−	0.0187861i
$355$	1.11908	+	10.6473i	0.0593945	+	0.565101i
$356$	8.04791	+	5.84715i	0.426538	+	0.309898i
$357$	6.96194			0.368465
$358$	10.1540	+	7.37732i	0.536656	+	0.389904i
$359$	−0.0773391	+	0.238025i	−0.00408180	+	0.0125625i	−0.953077	−	0.302729i	$-0.902102\pi$
$359$	−0.0773391	+	0.238025i	−0.00408180	+	0.0125625i	0.948995	+	0.315292i	$0.102102\pi$
$360$	0.0790627	+	0.752232i	0.00416697	+	0.0396461i
$361$	−4.27588	−	13.1598i	−0.225046	−	0.692621i
$362$	−4.02382	+	12.3841i	−0.211487	+	0.650891i
$363$	5.73259	−	17.6431i	0.300883	−	0.926023i
$364$	0.486494	+	1.49728i	0.0254992	+	0.0784786i
$365$	27.1244	+	5.76548i	1.41976	+	0.301779i
$366$	3.82157	−	11.7616i	0.199757	−	0.614787i
$367$	21.5031	+	15.6229i	1.12245	+	0.815509i	0.984579	−	0.174941i	$-0.0559735\pi$
$367$	21.5031	+	15.6229i	1.12245	+	0.815509i	0.137873	+	0.990450i	$0.455973\pi$
$368$	−0.102193			−0.00532719
$369$	2.38585	+	1.73342i	0.124202	+	0.0902382i
$370$	−2.37421	+	4.11225i	−0.123429	+	0.213786i
$371$	0.315131	−	0.228956i	0.0163608	−	0.0118868i
$372$	−5.86149	+	4.25862i	−0.303904	+	0.220799i
$373$	2.13893	+	6.58295i	0.110750	+	0.340852i	0.991037	−	0.133589i	$-0.0426501\pi$
$373$	2.13893	+	6.58295i	0.110750	+	0.340852i	−0.880287	+	0.474441i	$0.842650\pi$
$374$	3.50613			0.181298
$375$	−16.5262	+	12.0070i	−0.853409	+	0.620038i
$376$	7.02103			0.362082
$377$	1.21355	+	3.73492i	0.0625010	+	0.192358i
$378$	−3.93444	+	2.85854i	−0.202366	+	0.147027i
$379$	10.1211	−	7.35343i	0.519887	−	0.377720i	−0.296674	−	0.954979i	$-0.595878\pi$
$379$	10.1211	−	7.35343i	0.519887	−	0.377720i	0.816561	+	0.577259i	$0.195878\pi$
$380$	2.54041	−	4.40013i	0.130321	−	0.225722i
$381$	−18.2953	−	13.2923i	−0.937296	−	0.680985i
$382$	−19.6884			−1.00735
$383$	5.60410	+	4.07161i	0.286356	+	0.208050i	0.721685	−	0.692222i	$-0.243368\pi$
$383$	5.60410	+	4.07161i	0.286356	+	0.208050i	−0.435329	+	0.900271i	$0.643368\pi$
$384$	−0.564602	+	1.73767i	−0.0288122	+	0.0886749i
$385$	−2.01255	−	0.427781i	−0.102569	−	0.0218017i
$386$	4.50234	+	13.8568i	0.229163	+	0.705291i
$387$	−0.815131	+	2.50871i	−0.0414354	+	0.127525i
$388$	−2.92790	+	9.01116i	−0.148642	+	0.457472i
$389$	−8.05363	−	24.7865i	−0.408335	−	1.25673i	−0.918078	−	0.396400i	$-0.870259\pi$
$389$	−8.05363	−	24.7865i	−0.408335	−	1.25673i	0.509743	−	0.860327i	$-0.329741\pi$
$390$	−0.672319	−	6.39669i	−0.0340442	−	0.323909i
$391$	0.120330	−	0.370338i	0.00608536	−	0.0187288i
$392$	−0.809017	−	0.587785i	−0.0408615	−	0.0296876i
$393$	−4.12453			−0.208055
$394$	6.33119	+	4.59988i	0.318961	+	0.231739i
$395$	−2.50214	−	23.8062i	−0.125896	−	1.19782i
$396$	0.251807	−	0.182948i	0.0126538	−	0.00919350i
$397$	−10.5128	+	7.63801i	−0.527623	+	0.383341i	−0.819468	−	0.573125i	$-0.805731\pi$
$397$	−10.5128	+	7.63801i	−0.527623	+	0.383341i	0.291845	+	0.956466i	$0.405731\pi$
$398$	0.856033	+	2.63460i	0.0429091	+	0.132061i
$399$	−4.15154			−0.207837
$400$	−4.89074	+	1.03956i	−0.244537	+	0.0519779i
$401$	−31.0254			−1.54934			−0.774668	−	0.632369i	$-0.782083\pi$
$401$	−31.0254			−1.54934			−0.774668	+	0.632369i	$0.782083\pi$
$402$	0.0924662	+	0.284582i	0.00461179	+	0.0141936i
$403$	5.05061	−	3.66948i	0.251589	−	0.182790i
$404$	−6.67886	+	4.85247i	−0.332286	+	0.241420i
$405$	20.2240	−	9.00429i	1.00494	−	0.447427i
$406$	−2.01807	−	1.46622i	−0.100155	−	0.0727671i
$407$	1.95399			0.0968555
$408$	−5.63233	−	4.09213i	−0.278842	−	0.202590i
$409$	−9.29150	+	28.5963i	−0.459435	+	1.41400i	0.406413	+	0.913690i	$0.366780\pi$
$409$	−9.29150	+	28.5963i	−0.459435	+	1.41400i	−0.865848	+	0.500307i	$0.833220\pi$
$410$	−9.74737	+	16.8829i	−0.481389	+	0.833789i
$411$	0.0791861	+	0.243710i	0.00390596	+	0.0120213i
$412$	4.45961	−	13.7253i	0.219709	−	0.676195i
$413$	0.101705	−	0.313016i	0.00500458	−	0.0154025i
$414$	−0.0106821	−	0.0328761i	−0.000524997	−	0.00161577i
$415$	−31.6474	+	14.0903i	−1.55351	+	0.691668i
$416$	0.486494	−	1.49728i	0.0238524	−	0.0734100i
$417$	−30.4034	−	22.0893i	−1.48886	−	1.08172i
$418$	−2.09077			−0.102263
$419$	19.4718	+	14.1471i	0.951260	+	0.691131i	0.951105	−	0.308869i	$-0.0999505\pi$
$419$	19.4718	+	14.1471i	0.951260	+	0.691131i	0.000155423		1.00000i	$0.499951\pi$
$420$	2.73373	+	3.03612i	0.133392	+	0.148147i
$421$	25.7979	−	18.7433i	1.25731	−	0.913493i	0.258692	−	0.965960i	$-0.416709\pi$
$421$	25.7979	−	18.7433i	1.25731	−	0.913493i	0.998623	+	0.0524672i	$0.0167085\pi$
$422$	17.3952	−	12.6384i	0.846787	−	0.615227i
$423$	0.733898	+	2.25871i	0.0356833	+	0.109822i
$424$	−0.389523			−0.0189169
$425$	1.99147	−	18.9476i	0.0966007	−	0.919094i
$426$	−8.74784			−0.423834
$427$	−2.09161	−	6.43732i	−0.101220	−	0.311524i
$428$	13.4636	−	9.78190i	0.650789	−	0.472826i
$429$	−2.14127	+	1.55572i	−0.103381	+	0.0751109i
$430$	−17.0562	−	3.62541i	−0.822523	−	0.174833i
$431$	−9.17807	−	6.66826i	−0.442092	−	0.321199i	0.344374	−	0.938833i	$-0.388091\pi$
$431$	−9.17807	−	6.66826i	−0.442092	−	0.321199i	−0.786466	+	0.617634i	$0.788091\pi$
$432$	4.86324			0.233983
$433$	−20.0568	−	14.5721i	−0.963867	−	0.700291i	−0.00982173	−	0.999952i	$-0.503126\pi$
$433$	−20.0568	−	14.5721i	−0.963867	−	0.700291i	−0.954046	+	0.299661i	$0.903126\pi$
$434$	−1.22539	+	3.77135i	−0.0588204	+	0.181031i
$435$	6.81923	+	7.57352i	0.326957	+	0.363123i
$436$	2.88558	+	8.88090i	0.138194	+	0.425318i
$437$	−0.0717553	+	0.220840i	−0.00343252	+	0.0105642i
$438$	−7.00187	+	21.5495i	−0.334562	+	1.02968i
$439$	−7.87422	−	24.2344i	−0.375816	−	1.15664i	−0.942926	−	0.333001i	$-0.891939\pi$
$439$	−7.87422	−	24.2344i	−0.375816	−	1.15664i	0.567110	−	0.823642i	$-0.308061\pi$
$440$	1.37674	+	1.52903i	0.0656337	+	0.0728936i
$441$	0.104528	−	0.321706i	0.00497755	−	0.0153193i
$442$	4.85315	+	3.52602i	0.230841	+	0.167716i
$443$	−0.442942			−0.0210448			−0.0105224	−	0.999945i	$-0.503349\pi$
$443$	−0.442942			−0.0210448			−0.0105224	+	0.999945i	$0.503349\pi$
$444$	−3.13893	−	2.28057i	−0.148967	−	0.108231i
$445$	−21.7578	−	4.62476i	−1.03142	−	0.219235i
$446$	16.5589	−	12.0308i	0.784089	−	0.569674i
$447$	9.86751	−	7.16916i	0.466717	−	0.339090i
$448$	0.309017	+	0.951057i	0.0145997	+	0.0449332i
$449$	9.83236			0.464018			0.232009	−	0.972714i	$-0.425470\pi$
$449$	9.83236			0.464018			0.232009	+	0.972714i	$0.425470\pi$
$450$	−0.845653	−	1.46471i	−0.0398645	−	0.0690473i
$451$	8.02214			0.377748
$452$	−5.23974	−	16.1263i	−0.246457	−	0.758516i
$453$	32.7919	−	23.8247i	1.54070	−	1.11938i
$454$	6.10463	−	4.43527i	0.286505	−	0.208158i
$455$	−2.35555	−	2.61610i	−0.110430	−	0.122645i
$456$	3.35867	+	2.44022i	0.157284	+	0.114274i
$457$	−30.4186			−1.42292			−0.711462	−	0.702725i	$-0.751967\pi$
$457$	−30.4186			−1.42292			−0.711462	+	0.702725i	$0.751967\pi$
$458$	−0.803170	−	0.583538i	−0.0375297	−	0.0272669i
$459$	−5.72635	+	17.6239i	−0.267283	+	0.822613i
$460$	0.208755	−	0.0929438i	0.00973326	−	0.00433353i
$461$	3.92196	+	12.0705i	0.182664	+	0.562181i	0.999900	−	0.0141213i	$-0.00449510\pi$
$461$	3.92196	+	12.0705i	0.182664	+	0.562181i	−0.817237	+	0.576302i	$0.804495\pi$
$462$	0.519517	−	1.59891i	0.0241701	−	0.0743880i
$463$	−1.05215	+	3.23820i	−0.0488977	+	0.150492i	−0.972524	−	0.232802i	$-0.925210\pi$
$463$	−1.05215	+	3.23820i	−0.0488977	+	0.150492i	0.923626	+	0.383294i	$0.125210\pi$
$464$	0.770836	+	2.37239i	0.0357851	+	0.110135i
$465$	8.10039	−	14.0303i	0.375646	−	0.650639i
$466$	5.22382	−	16.0773i	0.241989	−	0.744765i
$467$	13.2166	+	9.60239i	0.611589	+	0.444345i	0.849974	−	0.526825i	$-0.176618\pi$
$467$	13.2166	+	9.60239i	0.611589	+	0.444345i	−0.238384	+	0.971171i	$0.576618\pi$
$468$	0.532535			0.0246164
$469$	0.132495	+	0.0962629i	0.00611803	+	0.00444501i
$470$	−14.3422	+	6.38557i	−0.661557	+	0.294544i
$471$	17.2922	−	12.5635i	0.796781	−	0.578895i
$472$	−0.266267	+	0.193454i	−0.0122559	+	0.00890446i
$473$	2.21734	+	6.82427i	0.101953	+	0.313780i
$474$	19.5592			0.898385
$475$	−1.18756	+	11.2988i	−0.0544888	+	0.518426i
$476$	−3.81040			−0.174649
$477$	−0.0407162	−	0.125312i	−0.00186427	−	0.00573763i
$478$	7.75772	−	5.63631i	0.354830	−	0.257799i
$479$	1.14834	−	0.834314i	0.0524688	−	0.0381208i	−0.561242	−	0.827652i	$-0.689676\pi$
$479$	1.14834	−	0.834314i	0.0524688	−	0.0381208i	0.613711	+	0.789531i	$0.289676\pi$
$480$	−0.427051	−	4.06312i	−0.0194921	−	0.185455i
$481$	2.70469	+	1.96507i	0.123323	+	0.0895995i
$482$	−10.0550			−0.457993
$483$	−0.151057	−	0.109749i	−0.00687332	−	0.00499376i
$484$	−3.13755	+	9.65639i	−0.142616	+	0.438927i
$485$	−2.21459	−	21.0705i	−0.100560	−	0.956760i
$486$	1.08130	+	3.32789i	0.0490486	+	0.150956i
$487$	−4.60998	+	14.1880i	−0.208898	+	0.642922i	0.790633	+	0.612291i	$0.209752\pi$
$487$	−4.60998	+	14.1880i	−0.208898	+	0.642922i	−0.999531	+	0.0306312i	$0.990248\pi$
$488$	−2.09161	+	6.43732i	−0.0946829	+	0.291404i
$489$	3.95648	+	12.1768i	0.178918	+	0.550654i
$490$	2.18720	+	0.464905i	0.0988078	+	0.0210023i
$491$	−4.95892	+	15.2620i	−0.223793	+	0.688764i	0.774619	+	0.632428i	$0.217942\pi$
$491$	−4.95892	+	15.2620i	−0.223793	+	0.688764i	−0.998412	+	0.0563355i	$0.982058\pi$
$492$	−12.8870	−	9.36292i	−0.580989	−	0.422113i
$493$	−9.50495			−0.428081
$494$	−2.89403	−	2.10263i	−0.130208	−	0.0946020i
$495$	−0.347988	+	0.602733i	−0.0156409	+	0.0270908i
$496$	3.20810	−	2.33082i	0.144048	−	0.104657i
$497$	−3.87345	+	2.81423i	−0.173748	+	0.126235i
$498$	−8.74714	−	26.9209i	−0.391969	−	1.20636i
$499$	8.99249			0.402559			0.201279	−	0.979534i	$-0.435490\pi$
$499$	8.99249			0.402559			0.201279	+	0.979534i	$0.435490\pi$
$500$	9.04508	−	6.57164i	0.404508	−	0.293893i
$501$	37.0868			1.65692
$502$	−7.83208	−	24.1047i	−0.349563	−	1.07584i
$503$	6.12420	−	4.44949i	0.273065	−	0.198393i	−0.442822	−	0.896610i	$-0.646023\pi$
$503$	6.12420	−	4.44949i	0.273065	−	0.198393i	0.715887	+	0.698216i	$0.246023\pi$
$504$	−0.273659	+	0.198825i	−0.0121897	+	0.00885637i
$505$	9.22995	−	15.9867i	0.410728	−	0.711401i
$506$	−0.0760742	−	0.0552711i	−0.00338191	−	0.00245710i
$507$	19.2237			0.853755
$508$	10.0133	+	7.27512i	0.444270	+	0.322781i
$509$	7.28460	−	22.4197i	0.322884	−	0.993736i	−0.649502	−	0.760360i	$-0.725023\pi$
$509$	7.28460	−	22.4197i	0.322884	−	0.993736i	0.972387	−	0.233376i	$-0.0749773\pi$
$510$	15.2272	+	3.23664i	0.674271	+	0.143321i
$511$	3.83225	+	11.7945i	0.169529	+	0.521756i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	3.41474	−	10.5095i	0.150764	−	0.464005i
$514$	5.33185	+	16.4097i	0.235178	+	0.723802i
$515$	3.37314	+	32.0932i	0.148638	+	1.41420i
$516$	4.40286	−	13.5506i	0.193825	−	0.596533i
$517$	5.22656	+	3.79732i	0.229864	+	0.167006i
$518$	−2.12356			−0.0933038
$519$	34.2896	+	24.9128i	1.50515	+	1.09355i
$520$	0.367972	+	3.50102i	0.0161367	+	0.153530i
$521$	−20.7211	+	15.0547i	−0.907807	+	0.659560i	−0.940459	−	0.339906i	$-0.889605\pi$
$521$	−20.7211	+	15.0547i	−0.907807	+	0.659560i	0.0326524	+	0.999467i	$0.489605\pi$
$522$	−0.682636	+	0.495964i	−0.0298782	+	0.0217078i
$523$	4.73403	+	14.5699i	0.207005	+	0.637095i	0.999625	+	0.0273798i	$0.00871636\pi$
$523$	4.73403	+	14.5699i	0.207005	+	0.637095i	−0.792620	+	0.609716i	$0.791284\pi$
$524$	2.25743			0.0986164
$525$	−8.34565	−	3.71572i	−0.364234	−	0.162167i
$526$	13.4424			0.586118
$527$	4.66921	+	14.3703i	0.203394	+	0.625982i
$528$	−1.36011	+	0.988180i	−0.0591913	+	0.0430050i
$529$	18.5989	−	13.5129i	0.808650	−	0.587518i
$530$	0.795698	−	0.354268i	0.0345629	−	0.0153884i
$531$	−0.0900679	−	0.0654381i	−0.00390861	−	0.00283977i
$532$	2.27222			0.0985130
$533$	11.1042	+	8.06765i	0.480975	+	0.349449i
$534$	5.61653	−	17.2859i	0.243051	−	0.748034i
$535$	−18.6063	+	32.2270i	−0.804419	+	1.39329i
$536$	−0.0506084	−	0.155757i	−0.00218595	−	0.00672767i
$537$	7.08635	−	21.8096i	0.305799	−	0.941152i
$538$	−3.66972	+	11.2942i	−0.158213	+	0.486929i
$539$	−0.284341	−	0.875112i	−0.0122474	−	0.0376937i
$540$	−9.93438	+	4.42307i	−0.427508	+	0.190339i
$541$	−9.93389	+	30.5734i	−0.427091	+	1.31445i	0.473886	+	0.880586i	$0.342851\pi$
$541$	−9.93389	+	30.5734i	−0.427091	+	1.31445i	−0.900977	+	0.433866i	$0.857149\pi$
$542$	3.96145	+	2.87816i	0.170159	+	0.123628i
$543$	23.7912			1.02098
$544$	3.08268	+	2.23970i	0.132169	+	0.0960261i
$545$	−13.9716	−	15.5170i	−0.598478	−	0.664677i
$546$	2.32709	−	1.69073i	0.0995903	−	0.0723566i
$547$	0.573739	−	0.416846i	0.0245313	−	0.0178230i	−0.575452	−	0.817836i	$-0.695174\pi$
$547$	0.573739	−	0.416846i	0.0245313	−	0.0178230i	0.599983	+	0.800012i	$0.295174\pi$
$548$	−0.0433400	−	0.133387i	−0.00185139	−	0.00569800i
$549$	−2.28956			−0.0977159
$550$	−4.20298	−	1.87129i	−0.179216	−	0.0797920i
$551$	5.66799			0.241464
$552$	0.0576985	+	0.177578i	0.00245581	+	0.00755821i
$553$	8.66062	−	6.29231i	0.368287	−	0.267576i
$554$	23.2059	−	16.8600i	0.985923	−	0.716315i
$555$	8.48621	+	1.80380i	0.360219	+	0.0765670i
$556$	16.6403	+	12.0899i	0.705706	+	0.512726i
$557$	−25.8843			−1.09675			−0.548377	−	0.836231i	$-0.684754\pi$
$557$	−25.8843			−1.09675			−0.548377	+	0.836231i	$0.684754\pi$
$558$	1.08518	+	0.788427i	0.0459392	+	0.0333768i
$559$	−3.79377	+	11.6760i	−0.160459	+	0.493843i
$560$	−1.49622	−	1.66172i	−0.0632269	−	0.0702206i
$561$	−1.97957	−	6.09248i	−0.0835774	−	0.257225i
$562$	7.73572	−	23.8081i	0.326312	−	1.00428i
$563$	−1.12644	+	3.46684i	−0.0474740	+	0.146110i	−0.971984	−	0.235049i	$-0.924475\pi$
$563$	−1.12644	+	3.46684i	−0.0474740	+	0.146110i	0.924510	+	0.381159i	$0.124475\pi$
$564$	−3.96409	−	12.2002i	−0.166918	−	0.513722i
$565$	25.3702	+	28.1764i	1.06733	+	1.18539i
$566$	8.24976	−	25.3902i	0.346763	−	1.06723i
$567$	8.00956	+	5.81929i	0.336370	+	0.244387i
$568$	4.78785			0.200894
$569$	−33.8446	−	24.5895i	−1.41884	−	1.03085i	−0.991962	−	0.126538i	$-0.959613\pi$
$569$	−33.8446	−	24.5895i	−1.41884	−	1.03085i	−0.426878	−	0.904309i	$-0.640387\pi$
$570$	−9.08028	−	1.93007i	−0.380331	−	0.0808418i
$571$	19.1171	−	13.8894i	0.800025	−	0.581252i	−0.110897	−	0.993832i	$-0.535372\pi$
$571$	19.1171	−	13.8894i	0.800025	−	0.581252i	0.910921	+	0.412580i	$0.135372\pi$
$572$	1.17195	−	0.851474i	0.0490019	−	0.0356019i
$573$	11.1161	+	34.2119i	0.464383	+	1.42922i
$574$	−8.71832			−0.363896
$575$	−0.341903	+	0.379722i	−0.0142583	+	0.0158355i
$576$	0.338261			0.0140942
$577$	−7.79009	−	23.9754i	−0.324306	−	0.998110i	−0.971753	−	0.236000i	$-0.924163\pi$
$577$	−7.79009	−	23.9754i	−0.324306	−	0.998110i	0.647447	−	0.762110i	$-0.275837\pi$
$578$	2.00707	−	1.45822i	0.0834831	−	0.0606540i
$579$	21.5364	−	15.6471i	0.895023	−	0.650272i
$580$	−3.73229	−	4.14513i	−0.154975	−	0.172117i
$581$	−12.5337	−	9.10630i	−0.519988	−	0.377793i
$582$	17.3115			0.717585
$583$	−0.289967	−	0.210673i	−0.0120092	−	0.00872519i
$584$	3.83225	−	11.7945i	0.158580	−	0.488058i
$585$	−1.08783	+	0.484335i	−0.0449764	+	0.0200248i
$586$	7.80020	+	24.0066i	0.322223	+	0.991702i
$587$	−9.55436	+	29.4053i	−0.394351	+	1.21369i	0.535116	+	0.844779i	$0.320268\pi$
$587$	−9.55436	+	29.4053i	−0.394351	+	1.21369i	−0.929466	+	0.368907i	$0.879732\pi$
$588$	−0.564602	+	1.73767i	−0.0232838	+	0.0716602i
$589$	−2.78434	−	8.56932i	−0.114727	−	0.353093i
$590$	0.367972	−	0.637347i	0.0151492	−	0.0262391i
$591$	4.41845	−	13.5986i	0.181751	−	0.559372i
$592$	1.71799	+	1.24820i	0.0706091	+	0.0513005i
$593$	31.9677			1.31275			0.656377	−	0.754433i	$-0.272088\pi$
$593$	31.9677			1.31275			0.656377	+	0.754433i	$0.272088\pi$
$594$	3.62027	+	2.63028i	0.148541	+	0.107922i
$595$	7.78369	−	3.46552i	0.319100	−	0.142073i
$596$	−5.40066	+	3.92381i	−0.221220	+	0.160726i
$597$	4.09474	−	2.97500i	0.167586	−	0.121759i
$598$	−0.0497164	−	0.153011i	−0.00203306	−	0.00625710i
$599$	−14.4030			−0.588491			−0.294245	−	0.955730i	$-0.595068\pi$
$599$	−14.4030			−0.588491			−0.294245	+	0.955730i	$0.595068\pi$
$600$	4.56773	+	7.91154i	0.186477	+	0.322987i
$601$	−21.3757			−0.871931			−0.435966	−	0.899963i	$-0.643593\pi$
$601$	−21.3757			−0.871931			−0.435966	+	0.899963i	$0.643593\pi$
$602$	−2.40977	−	7.41650i	−0.0982148	−	0.302274i
$603$	0.0448178	−	0.0325620i	0.00182512	−	0.00132603i
$604$	−17.9476	+	13.0397i	−0.730278	+	0.530578i
$605$	−2.37317	−	22.5792i	−0.0964829	−	0.917973i
$606$	12.2029	+	8.86591i	0.495708	+	0.360153i
$607$	22.6890			0.920918			0.460459	−	0.887681i	$-0.347685\pi$
$607$	22.6890			0.920918			0.460459	+	0.887681i	$0.347685\pi$
$608$	−1.83826	−	1.33557i	−0.0745513	−	0.0541647i
$609$	−1.40839	+	4.33457i	−0.0570707	+	0.175646i
$610$	−1.58204	−	15.0521i	−0.0640551	−	0.609443i
$611$	3.41569	+	10.5124i	0.138184	+	0.425287i
$612$	−0.398295	+	1.22583i	−0.0161001	+	0.0495511i
$613$	−10.5483	+	32.4645i	−0.426044	+	1.31123i	0.475948	+	0.879474i	$0.342105\pi$
$613$	−10.5483	+	32.4645i	−0.426044	+	1.31123i	−0.901991	+	0.431754i	$0.857895\pi$
$614$	−1.35603	−	4.17344i	−0.0547251	−	0.168426i
$615$	34.8403	+	7.40554i	1.40490	+	0.298620i
$616$	−0.284341	+	0.875112i	−0.0114564	+	0.0352593i
$617$	18.7392	+	13.6148i	0.754411	+	0.548112i	0.897191	−	0.441643i	$-0.145604\pi$
$617$	18.7392	+	13.6148i	0.754411	+	0.548112i	−0.142780	+	0.989754i	$0.545604\pi$
$618$	−26.3678			−1.06067
$619$	13.7567	+	9.99483i	0.552928	+	0.401726i	0.828864	−	0.559450i	$-0.188988\pi$
$619$	13.7567	+	9.99483i	0.552928	+	0.401726i	−0.275936	+	0.961176i	$0.588988\pi$
$620$	−4.43349	+	7.67903i	−0.178053	+	0.308397i
$621$	0.402073	−	0.292123i	0.0161347	−	0.0117225i
$622$	−4.00563	+	2.91026i	−0.160611	+	0.116691i
$623$	−3.07403	−	9.46088i	−0.123158	−	0.379042i
$624$	−2.87644			−0.115150
$625$	−12.5000	+	21.6506i	−0.500000	+	0.866025i
$626$	−23.3341			−0.932617
$627$	1.18046	+	3.63307i	0.0471428	+	0.145091i
$628$	−9.46431	+	6.87623i	−0.377667	+	0.274391i
$629$	−6.54624	+	4.75612i	−0.261016	+	0.189639i
$630$	0.378188	−	0.655040i	0.0150674	−	0.0260974i
$631$	−9.87563	−	7.17507i	−0.393143	−	0.285635i	0.373599	−	0.927590i	$-0.378123\pi$
$631$	−9.87563	−	7.17507i	−0.393143	−	0.285635i	−0.766742	+	0.641955i	$0.778123\pi$
$632$	−10.7051			−0.425827
$633$	−31.7827	−	23.0915i	−1.26325	−	0.917804i
$634$	4.54870	−	13.9995i	0.180652	−	0.555989i
$635$	−27.0714	−	5.75420i	−1.07430	−	0.228349i
$636$	0.219926	+	0.676861i	0.00872061	+	0.0268393i
$637$	0.486494	−	1.49728i	0.0192756	−	0.0593242i
$638$	−0.709282	+	2.18295i	−0.0280808	+	0.0864237i
$639$	0.500467	+	1.54028i	0.0197982	+	0.0609325i
$640$	0.233733	+	2.22382i	0.00923910	+	0.0879041i
$641$	2.84144	−	8.74504i	0.112230	−	0.345408i	−0.879129	−	0.476583i	$-0.841875\pi$
$641$	2.84144	−	8.74504i	0.112230	−	0.345408i	0.991359	+	0.131175i	$0.0418750\pi$
$642$	−24.5993	−	17.8724i	−0.970856	−	0.705368i
$643$	−5.65049			−0.222833			−0.111417	−	0.993774i	$-0.535539\pi$
$643$	−5.65049			−0.222833			−0.111417	+	0.993774i	$0.535539\pi$
$644$	0.0826761	+	0.0600677i	0.00325789	+	0.00236700i
$645$	3.33022	+	31.6849i	0.131127	+	1.24759i
$646$	7.00451	−	5.08907i	0.275589	−	0.200227i
$647$	−9.70952	+	7.05438i	−0.381720	+	0.277336i	−0.762054	−	0.647513i	$-0.775809\pi$
$647$	−9.70952	+	7.05438i	−0.381720	+	0.277336i	0.380334	+	0.924849i	$0.375809\pi$
$648$	−3.05938	−	9.41580i	−0.120184	−	0.369888i
$649$	−0.302843			−0.0118876
$650$	−3.93582	−	6.81705i	−0.154376	−	0.267387i
$651$	7.24520			0.283962
$652$	−2.16545	−	6.66458i	−0.0848057	−	0.261005i
$653$	34.4076	−	24.9986i	1.34647	−	0.978269i	0.347293	−	0.937757i	$-0.387101\pi$
$653$	34.4076	−	24.9986i	1.34647	−	0.978269i	0.999179	−	0.0405129i	$-0.0128992\pi$
$654$	13.8028	−	10.0284i	0.539734	−	0.392140i
$655$	−4.61137	+	2.05311i	−0.180181	+	0.0802218i
$656$	7.05327	+	5.12450i	0.275384	+	0.200078i
$657$	4.19492			0.163659
$658$	−5.68014	−	4.12686i	−0.221435	−	0.160882i
$659$	0.164523	−	0.506350i	0.00640892	−	0.0197246i	−0.947801	−	0.318863i	$-0.896699\pi$
$659$	0.164523	−	0.506350i	0.00640892	−	0.0197246i	0.954210	+	0.299138i	$0.0966991\pi$
$660$	1.87963	−	3.25562i	0.0731645	−	0.126725i
$661$	2.98020	+	9.17212i	0.115916	+	0.356754i	0.992137	−	0.125156i	$-0.0399432\pi$
$661$	2.98020	+	9.17212i	0.115916	+	0.356754i	−0.876221	+	0.481910i	$0.839943\pi$
$662$	−2.00733	+	6.17792i	−0.0780170	+	0.240112i
$663$	3.38695	−	10.4239i	0.131538	−	0.404833i
$664$	4.78747	+	14.7343i	0.185790	+	0.571802i
$665$	−4.64157	+	2.06656i	−0.179992	+	0.0801377i
$666$	−0.221972	+	0.683160i	−0.00860125	+	0.0264719i
$667$	0.206234	+	0.149837i	0.00798539	+	0.00580173i
$668$	−20.2983			−0.785365
$669$	−30.2547	−	21.9813i	−1.16971	−	0.849847i
$670$	0.245040	+	0.272144i	0.00946671	+	0.0105138i
$671$	−5.03865	+	3.66079i	−0.194515	+	0.141323i
$672$	1.47815	−	1.07394i	0.0570208	−	0.0414280i
$673$	−11.5093	−	35.4221i	−0.443652	−	1.36542i	−0.883955	−	0.467572i	$-0.845129\pi$
$673$	−11.5093	−	35.4221i	−0.443652	−	1.36542i	0.440303	−	0.897849i	$-0.354871\pi$
$674$	11.1514			0.429537
$675$	16.2707	−	18.0705i	0.626260	−	0.695532i
$676$	−10.5215			−0.404673
$677$	8.92171	+	27.4582i	0.342889	+	1.05530i	0.962704	+	0.270556i	$0.0872075\pi$
$677$	8.92171	+	27.4582i	0.342889	+	1.05530i	−0.619815	+	0.784748i	$0.712792\pi$
$678$	−25.0637	+	18.2099i	−0.962566	+	0.699345i
$679$	7.66535	−	5.56920i	0.294169	−	0.213726i
$680$	−8.33412	−	1.77147i	−0.319599	−	0.0679328i
$681$	−11.1537	−	8.10365i	−0.427411	−	0.310532i
$682$	3.64878			0.139719
$683$	30.1529	+	21.9073i	1.15377	+	0.838261i	0.988977	−	0.148068i	$-0.0473054\pi$
$683$	30.1529	+	21.9073i	1.15377	+	0.838261i	0.164790	+	0.986329i	$0.447305\pi$
$684$	0.237511	−	0.730984i	0.00908147	−	0.0279499i
$685$	0.209847	+	0.233059i	0.00801784	+	0.00890471i
$686$	0.309017	+	0.951057i	0.0117983	+	0.0363115i
$687$	−0.560522	+	1.72511i	−0.0213852	+	0.0658170i
$688$	−2.40977	+	7.41650i	−0.0918715	+	0.282751i
$689$	−0.189501	−	0.583223i	−0.00721940	−	0.0222190i
$690$	−0.279369	−	0.310271i	−0.0106354	−	0.0118118i
$691$	−1.41750	+	4.36262i	−0.0539243	+	0.165962i	−0.974392	−	0.224857i	$-0.927808\pi$
$691$	−1.41750	+	4.36262i	−0.0539243	+	0.165962i	0.920467	+	0.390820i	$0.127808\pi$
$692$	−18.7673	−	13.6353i	−0.713426	−	0.518335i
$693$	−0.311250			−0.0118234
$694$	−19.4876	−	14.1586i	−0.739741	−	0.537453i
$695$	−44.9876	−	9.56242i	−1.70648	−	0.362723i
$696$	3.68720	−	2.67891i	0.139763	−	0.101544i
$697$	−26.8757	+	19.5264i	−1.01799	+	0.739614i
$698$	2.46553	+	7.58813i	0.0933218	+	0.287215i
$699$	−30.8863			−1.16823
$700$	4.56773	+	2.03368i	0.172644	+	0.0768660i
$701$	−15.7723			−0.595713			−0.297857	−	0.954611i	$-0.596272\pi$
$701$	−15.7723			−0.595713			−0.297857	+	0.954611i	$0.596272\pi$
$702$	2.36594	+	7.28161i	0.0892966	+	0.274827i
$703$	3.90365	−	2.83617i	0.147229	−	0.106968i
$704$	0.744415	−	0.540849i	0.0280562	−	0.0203840i
$705$	19.1936	+	21.3167i	0.722874	+	0.802833i
$706$	15.2240	+	11.0609i	0.572964	+	0.416283i
$707$	8.25552			0.310481
$708$	0.486494	+	0.353459i	0.0182836	+	0.0132838i
$709$	3.12388	−	9.61432i	0.117320	−	0.361073i	−0.875104	−	0.483935i	$-0.839207\pi$
$709$	3.12388	−	9.61432i	0.117320	−	0.361073i	0.992424	+	0.122862i	$0.0392072\pi$
$710$	−9.78038	+	4.35451i	−0.367051	+	0.163422i
$711$	−1.11899	−	3.44389i	−0.0419654	−	0.129156i
$712$	−3.07403	+	9.46088i	−0.115204	+	0.354562i
$713$	0.125226	−	0.385406i	0.00468976	−	0.0144336i
$714$	2.15136	+	6.62120i	0.0805126	+	0.247792i
$715$	−1.61960	+	2.80523i	−0.0605696	+	0.104910i
$716$	−3.87849	+	11.9368i	−0.144946	+	0.446098i
$717$	−14.1741	−	10.2981i	−0.529340	−	0.384588i
$718$	−0.250275			−0.00934016
$719$	−30.5837	−	22.2204i	−1.14058	−	0.828680i	−0.153380	−	0.988167i	$-0.549016\pi$
$719$	−30.5837	−	22.2204i	−1.14058	−	0.828680i	−0.987200	+	0.159487i	$0.949016\pi$
$720$	−0.690983	+	0.307645i	−0.0257514	+	0.0114653i
$721$	−11.6754	+	8.48268i	−0.434815	+	0.315911i
$722$	11.1944	−	8.13321i	0.416612	−	0.302687i
$723$	5.67707	+	17.4722i	0.211133	+	0.649799i
$724$	−13.0214			−0.483935
$725$	11.3941	+	5.07298i	0.423166	+	0.188406i
$726$	18.5511			0.688494
$727$	11.9561	+	36.7970i	0.443426	+	1.36472i	0.884201	+	0.467107i	$0.154704\pi$
$727$	11.9561	+	36.7970i	0.443426	+	1.36472i	−0.440775	+	0.897618i	$0.645296\pi$
$728$	−1.27366	+	0.925367i	−0.0472049	+	0.0342964i
$729$	−18.8564	+	13.7000i	−0.698386	+	0.507407i
$730$	2.89862	+	27.5785i	0.107283	+	1.02073i
$731$	−24.0392	−	17.4655i	−0.889123	−	0.645986i
$732$	12.3669			0.457092
$733$	1.93842	+	1.40835i	0.0715972	+	0.0520184i	0.623008	−	0.782215i	$-0.285910\pi$
$733$	1.93842	+	1.40835i	0.0715972	+	0.0520184i	−0.551411	+	0.834234i	$0.685910\pi$
$734$	−8.21345	+	25.2784i	−0.303164	+	0.933042i
$735$	−0.427051	−	4.06312i	−0.0157520	−	0.149870i
$736$	−0.0315794	−	0.0971915i	−0.00116403	−	0.00358253i
$737$	0.0465672	−	0.143319i	0.00171533	−	0.00527923i
$738$	−0.911312	+	2.80473i	−0.0335459	+	0.103244i
$739$	12.5440	+	38.6065i	0.461440	+	1.42016i	0.863406	+	0.504510i	$0.168327\pi$
$739$	12.5440	+	38.6065i	0.461440	+	1.42016i	−0.401966	+	0.915655i	$0.631673\pi$
$740$	−4.64465	−	0.987252i	−0.170741	−	0.0362921i
$741$	−2.01970	+	6.21601i	−0.0741957	+	0.228351i
$742$	0.315131	+	0.228956i	0.0115688	+	0.00840523i
$743$	−51.6779			−1.89588			−0.947939	−	0.318451i	$-0.896838\pi$
$743$	−51.6779			−1.89588			−0.947939	+	0.318451i	$0.896838\pi$
$744$	−5.86149	−	4.25862i	−0.214893	−	0.156129i
$745$	7.46354	−	12.9272i	0.273443	−	0.473617i
$746$	−5.59979	+	4.06849i	−0.205023	+	0.148958i
$747$	−4.23968	+	3.08031i	−0.155122	+	0.112703i
$748$	1.08345	+	3.33452i	0.0396150	+	0.121922i
$749$	−16.6420			−0.608084
$750$	−16.5262	−	12.0070i	−0.603451	−	0.438433i
$751$	2.24784			0.0820248			0.0410124	−	0.999159i	$-0.486942\pi$
$751$	2.24784			0.0820248			0.0410124	+	0.999159i	$0.486942\pi$
$752$	2.16962	+	6.67740i	0.0791179	+	0.243500i
$753$	−37.4639	+	27.2191i	−1.36526	+	0.991919i
$754$	−3.17711	+	2.30831i	−0.115704	+	0.0840636i
$755$	24.8030	−	42.9601i	0.902674	−	1.56348i
$756$	−3.93444	−	2.85854i	−0.143094	−	0.103964i
$757$	9.94369			0.361410			0.180705	−	0.983537i	$-0.442162\pi$
$757$	9.94369			0.361410			0.180705	+	0.983537i	$0.442162\pi$
$758$	10.1211	+	7.35343i	0.367616	+	0.267089i
$759$	−0.0530911	+	0.163398i	−0.00192709	+	0.00593096i
$760$	4.96980	+	1.05636i	0.180274	+	0.0383183i
$761$	15.0786	+	46.4072i	0.546599	+	1.68226i	0.717157	+	0.696912i	$0.245443\pi$
$761$	15.0786	+	46.4072i	0.546599	+	1.68226i	−0.170558	+	0.985348i	$0.554557\pi$
$762$	6.98818	−	21.5074i	0.253155	−	0.779131i
$763$	2.88558	−	8.88090i	0.104465	−	0.321510i
$764$	−6.08406	−	18.7248i	−0.220113	−	0.677439i
$765$	−0.301260	−	2.86630i	−0.0108921	−	0.103631i
$766$	−2.14057	+	6.58801i	−0.0773421	+	0.238034i
$767$	−0.419192	−	0.304561i	−0.0151362	−	0.0109971i
$768$	−1.82709			−0.0659295
$769$	3.37149	+	2.44953i	0.121579	+	0.0883323i	0.646913	−	0.762564i	$-0.276060\pi$
$769$	3.37149	+	2.44953i	0.121579	+	0.0883323i	−0.525334	+	0.850896i	$0.676060\pi$
$770$	−0.215069	−	2.04624i	−0.00775053	−	0.0737414i
$771$	25.5043	−	18.5299i	0.918514	−	0.667340i
$772$	−11.7873	+	8.56395i	−0.424233	+	0.308223i
$773$	−0.485175	−	1.49321i	−0.0174505	−	0.0537072i	0.941952	−	0.335747i	$-0.108989\pi$
$773$	−0.485175	−	1.49321i	−0.0174505	−	0.0537072i	−0.959403	+	0.282040i	$0.908989\pi$
$774$	−2.63782			−0.0948144
$775$	2.07250	−	19.7185i	0.0744465	−	0.708311i
$776$	−9.47490			−0.340129
$777$	1.19897	+	3.69004i	0.0430126	+	0.132379i
$778$	21.0847	−	15.3189i	0.755922	−	0.549210i
$779$	16.0265	−	11.6440i	0.574211	−	0.417188i
$780$	5.87585	−	2.61610i	0.210389	−	0.0936713i
$781$	3.56415	+	2.58951i	0.127535	+	0.0926598i
$782$	0.389397			0.0139248
$783$	−9.81438	−	7.13056i	−0.350737	−	0.254825i
$784$	0.309017	−	0.951057i	0.0110363	−	0.0339663i
$785$	13.0794	−	22.6541i	0.466822	−	0.808560i
$786$	−1.27455	−	3.92266i	−0.0454617	−	0.139917i
$787$	−6.80952	+	20.9575i	−0.242733	+	0.747056i	0.753268	+	0.657714i	$0.228476\pi$
$787$	−6.80952	+	20.9575i	−0.242733	+	0.747056i	−0.996001	+	0.0893419i	$0.971524\pi$
$788$	−2.41830	+	7.44276i	−0.0861484	+	0.265137i
$789$	−7.58963	−	23.3585i	−0.270198	−	0.831584i
$790$	21.8679	−	9.73620i	0.778024	−	0.346399i
$791$	−5.23974	+	16.1263i	−0.186304	+	0.573384i
$792$	0.251807	+	0.182948i	0.00894756	+	0.00650078i
$793$	−10.6560			−0.378406
$794$	−10.5128	−	7.63801i	−0.373086	−	0.271063i
$795$	−1.06485	−	1.18264i	−0.0377664	−	0.0419438i
$796$	−2.24112	+	1.62827i	−0.0794346	+	0.0577126i
$797$	15.7627	−	11.4523i	0.558345	−	0.405662i	−0.272508	−	0.962154i	$-0.587853\pi$
$797$	15.7627	−	11.4523i	0.558345	−	0.405662i	0.830853	+	0.556492i	$0.187853\pi$
$798$	−1.28290	−	3.94835i	−0.0454141	−	0.139770i
$799$	−26.7529			−0.946451
$800$	−2.50000	−	4.33013i	−0.0883883	−	0.153093i
$801$	−3.36494			−0.118894
$802$	−9.58738	−	29.5069i	−0.338542	−	1.04193i
$803$	9.23180	−	6.70730i	0.325783	−	0.236695i
$804$	−0.242080	+	0.175881i	−0.00853749	+	0.00620285i
$805$	−0.223518	−	0.0475101i	−0.00787796	−	0.00167451i
$806$	5.05061	+	3.66948i	0.177900	+	0.129252i
$807$	21.6976			0.763790
$808$	−6.67886	−	4.85247i	−0.234961	−	0.170709i
$809$	4.20187	−	12.9320i	0.147730	−	0.454666i	−0.849622	−	0.527392i	$-0.823170\pi$
$809$	4.20187	−	12.9320i	0.147730	−	0.454666i	0.997352	+	0.0727260i	$0.0231699\pi$
$810$	14.8131	+	16.4517i	0.520481	+	0.578052i
$811$	−14.7401	−	45.3654i	−0.517596	−	1.59300i	−0.778509	−	0.627634i	$-0.784024\pi$
$811$	−14.7401	−	45.3654i	−0.517596	−	1.59300i	0.260913	−	0.965362i	$-0.415976\pi$
$812$	0.770836	−	2.37239i	0.0270510	−	0.0832545i
$813$	2.76465	−	8.50870i	0.0969604	−	0.298413i
$814$	0.603815	+	1.85835i	0.0211637	+	0.0651352i
$815$	10.4849	+	11.6446i	0.367269	+	0.407893i
$816$	2.15136	−	6.62120i	0.0753126	−	0.231788i
$817$	14.3351	+	10.4150i	0.501521	+	0.364376i
$818$	−30.0679			−1.05130
$819$	−0.430829	−	0.313016i	−0.0150544	−	0.0109377i
$820$	−19.0687	−	4.05319i	−0.665909	−	0.141543i
$821$	18.9965	−	13.8018i	0.662983	−	0.481686i	−0.204686	−	0.978828i	$-0.565617\pi$
$821$	18.9965	−	13.8018i	0.662983	−	0.481686i	0.867669	+	0.497142i	$0.165617\pi$
$822$	−0.207312	+	0.150621i	−0.00723083	+	0.00525351i
$823$	3.89674	+	11.9929i	0.135832	+	0.418048i	0.995718	−	0.0924376i	$-0.0294659\pi$
$823$	3.89674	+	11.9929i	0.135832	+	0.418048i	−0.859887	+	0.510485i	$0.829466\pi$
$824$	14.4316			0.502748
$825$	−0.878663	+	8.35992i	−0.0305911	+	0.291055i
$826$	0.329124			0.0114517
$827$	9.97250	+	30.6922i	0.346778	+	1.06727i	0.960625	+	0.277847i	$0.0896210\pi$
$827$	9.97250	+	30.6922i	0.346778	+	1.06727i	−0.613847	+	0.789425i	$0.710379\pi$
$828$	0.0279661	−	0.0203186i	0.000971889	−	0.000706119i
$829$	−19.7193	+	14.3269i	−0.684881	+	0.497595i	−0.874973	−	0.484171i	$-0.839121\pi$
$829$	−19.7193	+	14.3269i	−0.684881	+	0.497595i	0.190092	+	0.981766i	$0.439121\pi$
$830$	−23.1803	−	25.7443i	−0.804600	−	0.893599i
$831$	−42.3992	−	30.8048i	−1.47081	−	1.06861i
$832$	1.57433			0.0545800
$833$	3.08268	+	2.23970i	0.106808	+	0.0776008i
$834$	11.6131	−	35.7413i	0.402127	−	1.23762i
$835$	41.4643	−	18.4611i	1.43493	−	0.638873i
$836$	−0.646085	−	1.98844i	−0.0223453	−	0.0687718i
$837$	−5.95934	+	18.3410i	−0.205985	+	0.633957i
$838$	−7.43757	+	22.8905i	−0.256927	+	0.790739i
$839$	0.498884	+	1.53541i	0.0172234	+	0.0530082i	0.959299	−	0.282393i	$-0.0911282\pi$
$839$	0.498884	+	1.53541i	0.0172234	+	0.0530082i	−0.942075	+	0.335401i	$0.891128\pi$
$840$	−2.04275	+	3.53815i	−0.0704816	+	0.122078i
$841$	−7.03866	+	21.6628i	−0.242712	+	0.746992i
$842$	25.7979	+	18.7433i	0.889056	+	0.645937i
$843$	−45.7381			−1.57530
$844$	17.3952	+	12.6384i	0.598769	+	0.435031i
$845$	21.4928	−	9.56920i	0.739374	−	0.329190i
$846$	−1.92137	+	1.39596i	−0.0660580	+	0.0479940i
$847$	8.21422	−	5.96798i	0.282244	−	0.205062i
$848$	−0.120369	−	0.370458i	−0.00413350	−	0.0127216i
$849$	−48.7775			−1.67404
$850$	18.6357	−	3.96113i	0.639198	−	0.135866i
$851$	0.217013			0.00743912
$852$	−2.70323	−	8.31969i	−0.0926112	−	0.285028i
$853$	−42.7568	+	31.0646i	−1.46396	+	1.06363i	−0.481656	+	0.876360i	$0.659965\pi$
$853$	−42.7568	+	31.0646i	−1.46396	+	1.06363i	−0.982308	+	0.187272i	$0.940035\pi$
$854$	5.47591	−	3.97848i	0.187382	−	0.136141i
$855$	0.179648	+	1.70923i	0.00614382	+	0.0584545i
$856$	13.4636	+	9.78190i	0.460177	+	0.334338i
$857$	1.19952			0.0409749			0.0204874	−	0.999790i	$-0.493478\pi$
$857$	1.19952			0.0409749			0.0204874	+	0.999790i	$0.493478\pi$
$858$	−2.14127	−	1.55572i	−0.0731016	−	0.0531114i
$859$	−1.95459	+	6.01561i	−0.0666897	+	0.205250i	−0.978848	−	0.204588i	$-0.934415\pi$
$859$	−1.95459	+	6.01561i	−0.0666897	+	0.205250i	0.912159	+	0.409838i	$0.134415\pi$
$860$	−1.82269	−	17.3417i	−0.0621531	−	0.591348i
$861$	4.92238	+	15.1495i	0.167754	+	0.516295i
$862$	3.50571	−	10.7895i	0.119405	−	0.367491i
$863$	4.33562	−	13.3437i	0.147586	−	0.454224i	−0.849748	−	0.527189i	$-0.823246\pi$
$863$	4.33562	−	13.3437i	0.147586	−	0.454224i	0.997335	+	0.0729647i	$0.0232460\pi$
$864$	1.50282	+	4.62521i	0.0511271	+	0.157353i
$865$	50.7381	+	10.7847i	1.72515	+	0.366691i
$866$	7.66101	−	23.5782i	0.260332	−	0.801219i
$867$	−3.66710	−	2.66430i	−0.124541	−	0.0904844i
$868$	−3.96543			−0.134596
$869$	−7.96905	−	5.78985i	−0.270331	−	0.196407i
$870$	−5.09559	+	8.82582i	−0.172757	+	0.299223i
$871$	0.208590	−	0.151550i	0.00706780	−	0.00513506i
$872$	−7.55454	+	5.48870i	−0.255829	+	0.185871i
$873$	−0.990396	−	3.04813i	−0.0335198	−	0.103163i
$874$	−0.232205			−0.00785445
$875$	−11.1803			−0.377964
$876$	−22.6585			−0.765561
$877$	13.3739	+	41.1606i	0.451605	+	1.38990i	0.875076	+	0.483986i	$0.160812\pi$
$877$	13.3739	+	41.1606i	0.451605	+	1.38990i	−0.423471	+	0.905910i	$0.639188\pi$
$878$	20.6150	−	14.9777i	0.695722	−	0.505472i
$879$	37.3114	−	27.1083i	1.25848	−	0.914341i
$880$	−1.02876	+	1.78186i	−0.0346794	+	0.0600664i
$881$	16.0729	+	11.6776i	0.541508	+	0.393429i	0.824645	−	0.565651i	$-0.191375\pi$
$881$	16.0729	+	11.6776i	0.541508	+	0.393429i	−0.283137	+	0.959080i	$0.591375\pi$
$882$	0.338261			0.0113898
$883$	−4.73505	−	3.44021i	−0.159347	−	0.115772i	0.505254	−	0.862970i	$-0.331399\pi$
$883$	−4.73505	−	3.44021i	−0.159347	−	0.115772i	−0.664601	+	0.747198i	$0.731399\pi$
$884$	−1.85374	+	5.70522i	−0.0623479	+	0.191887i
$885$	−1.31525	−	0.279566i	−0.0442118	−	0.00939750i
$886$	−0.136876	−	0.421263i	−0.00459846	−	0.0141526i
$887$	−2.21124	+	6.80548i	−0.0742460	+	0.228506i	−0.981292	−	0.192526i	$-0.938332\pi$
$887$	−2.21124	+	6.80548i	−0.0742460	+	0.228506i	0.907046	+	0.421032i	$0.138332\pi$
$888$	1.19897	−	3.69004i	0.0402346	−	0.123829i
$889$	−3.82476	−	11.7714i	−0.128278	−	0.394800i
$890$	−2.32512	−	22.1220i	−0.0779381	−	0.741532i
$891$	2.81508	−	8.66393i	0.0943088	−	0.290253i
$892$	16.5589	+	12.0308i	0.554435	+	0.402820i
$893$	15.9533			0.533857
$894$	9.86751	+	7.16916i	0.330019	+	0.239773i
$895$	−2.93359	−	27.9113i	−0.0980592	−	0.932971i
$896$	−0.809017	+	0.587785i	−0.0270274	+	0.0196365i
$897$	−0.237813	+	0.172781i	−0.00794034	+	0.00576900i
$898$	3.03837	+	9.35113i	0.101392	+	0.312051i
$899$	−9.89168			−0.329906
$900$	1.13170	−	1.25689i	0.0377235	−	0.0418962i
$901$	1.48424			0.0494471
$902$	2.47898	+	7.62951i	0.0825409	+	0.254035i
$903$	−11.5268	+	8.37474i	−0.383589	+	0.278694i
$904$	13.7178	−	9.96659i	0.456248	−	0.331484i
$905$	26.5994	−	11.8428i	0.884194	−	0.393668i
$906$	32.7919	+	23.8247i	1.08944	+	0.791524i
$907$	−10.8468			−0.360162			−0.180081	−	0.983652i	$-0.557636\pi$
$907$	−10.8468			−0.360162			−0.180081	+	0.983652i	$0.557636\pi$
$908$	6.10463	+	4.43527i	0.202589	+	0.147190i
$909$	0.862937	−	2.65585i	0.0286218	−	0.0880889i
$910$	1.76015	−	3.04868i	0.0583485	−	0.101063i
$911$	2.93225	+	9.02453i	0.0971497	+	0.298996i	0.987808	−	0.155677i	$-0.0497560\pi$
$911$	2.93225	+	9.02453i	0.0971497	+	0.298996i	−0.890658	+	0.454673i	$0.849756\pi$
$912$	−1.28290	+	3.94835i	−0.0424810	+	0.130743i
$913$	−4.40517	+	13.5577i	−0.145790	+	0.448695i
$914$	−9.39987	−	28.9298i	−0.310920	−	0.956914i
$915$	−25.2624	+	11.2475i	−0.835149	+	0.371832i
$916$	0.306784	−	0.944184i	0.0101364	−	0.0311967i
$917$	−1.82630	−	1.32689i	−0.0603098	−	0.0438176i
$918$	−18.5309			−0.611610
$919$	−33.5950	−	24.4082i	−1.10820	−	0.805152i	−0.125818	−	0.992053i	$-0.540156\pi$
$919$	−33.5950	−	24.4082i	−1.10820	−	0.805152i	−0.982379	+	0.186901i	$0.940156\pi$
$920$	0.152904	+	0.169817i	0.00504109	+	0.00559869i
$921$	−6.48643	+	4.71267i	−0.213735	+	0.155288i
$922$	−10.2678	+	7.46000i	−0.338152	+	0.245682i
$923$	2.32926	+	7.16874i	0.0766687	+	0.235962i
$924$	1.68119			0.0553072
$925$	10.3858	−	2.20756i	0.341482	−	0.0725842i
$926$	−3.40484			−0.111890
$927$	1.50851	+	4.64272i	0.0495460	+	0.152487i
$928$	−2.01807	+	1.46622i	−0.0662465	+	0.0481309i
$929$	−22.3798	+	16.2599i	−0.734256	+	0.533469i	−0.890907	−	0.454186i	$-0.849930\pi$
$929$	−22.3798	+	16.2599i	−0.734256	+	0.533469i	0.156651	+	0.987654i	$0.449930\pi$
$930$	15.8467	+	3.36833i	0.519635	+	0.110452i
$931$	−1.83826	−	1.33557i	−0.0602466	−	0.0437717i
$932$	16.9046			0.553730
$933$	7.31864	+	5.31730i	0.239602	+	0.174081i
$934$	−5.04827	+	15.5370i	−0.165185	+	0.508386i
$935$	−5.24594	−	5.82621i	−0.171561	−	0.190537i
$936$	0.164562	+	0.506470i	0.00537888	+	0.0165545i
$937$	6.60371	−	20.3241i	0.215734	−	0.663961i	−0.783367	−	0.621560i	$-0.786499\pi$
$937$	6.60371	−	20.3241i	0.215734	−	0.663961i	0.999101	−	0.0424010i	$-0.0135007\pi$
$938$	−0.0506084	+	0.155757i	−0.00165242	+	0.00508564i
$939$	13.1745	+	40.5468i	0.429932	+	1.32320i
$940$	−10.5050	−	11.6670i	−0.342636	−	0.380536i
$941$	14.7587	−	45.4225i	0.481119	−	1.48073i	−0.356405	−	0.934331i	$-0.615998\pi$
$941$	14.7587	−	45.4225i	0.481119	−	1.48073i	0.837524	−	0.546400i	$-0.184002\pi$
$942$	17.2922	+	12.5635i	0.563409	+	0.409341i
$943$	0.890953			0.0290134
$944$	−0.266267	−	0.193454i	−0.00866626	−	0.00629641i
$945$	10.6369	+	2.26094i	0.346018	+	0.0735485i
$946$	−5.80507	+	4.21763i	−0.188739	+	0.137127i
$947$	44.5017	−	32.3324i	1.44611	−	1.05066i	0.459389	−	0.888235i	$-0.348068\pi$
$947$	44.5017	−	32.3324i	1.44611	−	1.05066i	0.986721	−	0.162426i	$-0.0519318\pi$
$948$	6.04413	+	18.6019i	0.196304	+	0.604162i
$949$	19.5239			0.633773
$950$	−11.1128	+	2.36210i	−0.360547	+	0.0766367i
$951$	−26.8946			−0.872117
$952$	−1.17748	−	3.62390i	−0.0381623	−	0.117451i
$953$	−20.7599	+	15.0829i	−0.672478	+	0.488584i	−0.870854	−	0.491542i	$-0.836433\pi$
$953$	−20.7599	+	15.0829i	−0.672478	+	0.488584i	0.198376	+	0.980126i	$0.436433\pi$
$954$	0.106596	−	0.0774469i	0.00345119	−	0.00250744i
$955$	29.4582	+	32.7167i	0.953246	+	1.05869i
$956$	7.75772	+	5.63631i	0.250903	+	0.182291i
$957$	4.19370			0.135563
$958$	1.14834	+	0.834314i	0.0371010	+	0.0269555i
$959$	−0.0433400	+	0.133387i	−0.00139952	+	0.00430728i
$960$	3.73229	−	1.66172i	0.120459	−	0.0536319i
$961$	−4.72034	−	14.5277i	−0.152269	−	0.468636i
$962$	−1.03310	+	3.17955i	−0.0333084	+	0.102513i
$963$	−1.73956	+	5.35381i	−0.0560565	+	0.172524i
$964$	−3.10717	−	9.56287i	−0.100075	−	0.307999i
$965$	16.2896	−	28.2144i	0.524381	−	0.908254i
$966$	0.0576985	−	0.177578i	0.00185642	−	0.00571347i
$967$	18.1717	+	13.2025i	0.584362	+	0.424563i	0.840294	−	0.542131i	$-0.182382\pi$
$967$	18.1717	+	13.2025i	0.584362	+	0.424563i	−0.255932	+	0.966695i	$0.582382\pi$
$968$	−10.1533			−0.326340
$969$	−12.7979	−	9.29820i	−0.411127	−	0.298701i
$970$	19.3548	−	8.61733i	0.621447	−	0.276686i
$971$	26.9497	−	19.5801i	0.864857	−	0.628355i	−0.0643450	−	0.997928i	$-0.520496\pi$
$971$	26.9497	−	19.5801i	0.864857	−	0.628355i	0.929202	+	0.369572i	$0.120496\pi$
$972$	−2.83087	+	2.05675i	−0.0908002	+	0.0659702i
$973$	−6.35603	−	19.5619i	−0.203765	−	0.627124i
$974$	−14.9182			−0.478010
$975$	−9.62358	+	10.6881i	−0.308201	+	0.342292i
$976$	−6.76860			−0.216658
$977$	8.28558	+	25.5004i	0.265079	+	0.815830i	0.991675	+	0.128765i	$0.0411013\pi$
$977$	8.28558	+	25.5004i	0.265079	+	0.815830i	−0.726596	+	0.687065i	$0.758899\pi$
$978$	−10.3582	+	7.52568i	−0.331219	+	0.240645i
$979$	−7.40526	+	5.38024i	−0.236673	+	0.171953i
$980$	0.233733	+	2.22382i	0.00746632	+	0.0710373i
$981$	−2.55541	−	1.85661i	−0.0815879	−	0.0592771i
$982$	−16.0474			−0.512093
$983$	−10.2694	−	7.46117i	−0.327543	−	0.237974i	0.411844	−	0.911254i	$-0.364885\pi$
$983$	−10.2694	−	7.46117i	−0.327543	−	0.237974i	−0.739388	+	0.673280i	$0.764885\pi$
$984$	4.92238	−	15.1495i	0.156920	−	0.482949i
$985$	−1.82914	−	17.4031i	−0.0582813	−	0.554510i
$986$	−2.93719	−	9.03974i	−0.0935392	−	0.287884i
$987$	−3.96409	+	12.2002i	−0.126178	+	0.388337i
$988$	1.10542	−	3.40213i	0.0351681	−	0.108236i
$989$	0.246262	+	0.757916i	0.00783067	+	0.0241003i
$990$	−0.680768	−	0.144702i	−0.0216362	−	0.00459892i
$991$	13.5274	−	41.6329i	0.429711	−	1.32251i	−0.468700	−	0.883357i	$-0.655278\pi$
$991$	13.5274	−	41.6329i	0.429711	−	1.32251i	0.898411	−	0.439156i	$-0.144722\pi$
$992$	3.20810	+	2.33082i	0.101857	+	0.0740037i
$993$	11.8685			0.376636
$994$	−3.87345	−	2.81423i	−0.122859	−	0.0892619i
$995$	3.09716	−	5.36443i	0.0981865	−	0.170064i
$996$	22.9003	−	16.6380i	0.725624	−	0.527197i
$997$	−26.3382	+	19.1358i	−0.834139	+	0.606038i	−0.920727	−	0.390207i	$-0.872404\pi$
$997$	−26.3382	+	19.1358i	−0.834139	+	0.606038i	0.0865882	+	0.996244i	$0.472404\pi$
$998$	2.77883	+	8.55236i	0.0879624	+	0.270720i
$999$	−10.3274			−0.326743

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.a.281.2	yes	8
25.11	even	5		8750.2.a.j.1.1		4
25.14	even	10		8750.2.a.e.1.4		4
25.21	even	5	inner	350.2.h.a.71.2	✓	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.a.71.2	✓	8	25.21	even	5	inner
350.2.h.a.281.2	yes	8	1.1	even	1	trivial
8750.2.a.e.1.4		4	25.14	even	10
8750.2.a.j.1.1		4	25.11	even	5

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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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(1.47815 - 1.07394i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.11803 - 1.93649i) q^{5} +(1.47815 + 1.07394i) q^{6} +1.00000 q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.104528 - 0.321706i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(1.47815 - 1.07394i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.11803 - 1.93649i) q^{5} +(1.47815 + 1.07394i) q^{6} +1.00000 q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.104528 - 0.321706i) q^{9} +(2.18720 + 0.464905i) q^{10} +(-0.284341 - 0.875112i) q^{11} +(-0.564602 + 1.73767i) q^{12} +(0.486494 - 1.49728i) q^{13} +(0.309017 + 0.951057i) q^{14} +(-0.427051 - 4.06312i) q^{15} +(0.309017 - 0.951057i) q^{16} +(3.08268 + 2.23970i) q^{17} +0.338261 q^{18} +(-1.83826 - 1.33557i) q^{19} +(0.233733 + 2.22382i) q^{20} +(1.47815 - 1.07394i) q^{21} +(0.744415 - 0.540849i) q^{22} +(-0.0315794 - 0.0971915i) q^{23} -1.82709 q^{24} +(-2.50000 - 4.33013i) q^{25} +1.57433 q^{26} +(1.50282 + 4.62521i) q^{27} +(-0.809017 + 0.587785i) q^{28} +(-2.01807 + 1.46622i) q^{29} +(3.73229 - 1.66172i) q^{30} +(3.20810 + 2.33082i) q^{31} +1.00000 q^{32} +(-1.36011 - 0.988180i) q^{33} +(-1.17748 + 3.62390i) q^{34} +(1.11803 - 1.93649i) q^{35} +(0.104528 + 0.321706i) q^{36} +(-0.656215 + 2.01962i) q^{37} +(0.702153 - 2.16101i) q^{38} +(-0.888870 - 2.73566i) q^{39} +(-2.04275 + 0.909491i) q^{40} +(-2.69411 + 8.29161i) q^{41} +(1.47815 + 1.07394i) q^{42} -7.79817 q^{43} +(0.744415 + 0.540849i) q^{44} +(-0.506114 - 0.562096i) q^{45} +(0.0826761 - 0.0600677i) q^{46} +(-5.68014 + 4.12686i) q^{47} +(-0.564602 - 1.73767i) q^{48} +1.00000 q^{49} +(3.34565 - 3.71572i) q^{50} +6.96194 q^{51} +(0.486494 + 1.49728i) q^{52} +(0.315131 - 0.228956i) q^{53} +(-3.93444 + 2.85854i) q^{54} +(-2.01255 - 0.427781i) q^{55} +(-0.809017 - 0.587785i) q^{56} -4.15154 q^{57} +(-2.01807 - 1.46622i) q^{58} +(0.101705 - 0.313016i) q^{59} +(2.73373 + 3.03612i) q^{60} +(-2.09161 - 6.43732i) q^{61} +(-1.22539 + 3.77135i) q^{62} +(0.104528 - 0.321706i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-2.35555 - 2.61610i) q^{65} +(0.519517 - 1.59891i) q^{66} +(0.132495 + 0.0962629i) q^{67} -3.81040 q^{68} +(-0.151057 - 0.109749i) q^{69} +(2.18720 + 0.464905i) q^{70} +(-3.87345 + 2.81423i) q^{71} +(-0.273659 + 0.198825i) q^{72} +(3.83225 + 11.7945i) q^{73} -2.12356 q^{74} +(-8.34565 - 3.71572i) q^{75} +2.27222 q^{76} +(-0.284341 - 0.875112i) q^{77} +(2.32709 - 1.69073i) q^{78} +(8.66062 - 6.29231i) q^{79} +(-1.49622 - 1.66172i) q^{80} +(8.00956 + 5.81929i) q^{81} -8.71832 q^{82} +(-12.5337 - 9.10630i) q^{83} +(-0.564602 + 1.73767i) q^{84} +(7.78369 - 3.46552i) q^{85} +(-2.40977 - 7.41650i) q^{86} +(-1.40839 + 4.33457i) q^{87} +(-0.284341 + 0.875112i) q^{88} +(-3.07403 - 9.46088i) q^{89} +(0.378188 - 0.655040i) q^{90} +(0.486494 - 1.49728i) q^{91} +(0.0826761 + 0.0600677i) q^{92} +7.24520 q^{93} +(-5.68014 - 4.12686i) q^{94} +(-4.64157 + 2.06656i) q^{95} +(1.47815 - 1.07394i) q^{96} +(7.66535 - 5.56920i) q^{97} +(0.309017 + 0.951057i) q^{98} -0.311250 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 2 q^{2} + 3 q^{3} - 2 q^{4} + 3 q^{6} + 8 q^{7} - 2 q^{8} - q^{9}+O(q^{10}) \) 8 * q - 2 * q^2 + 3 * q^3 - 2 * q^4 + 3 * q^6 + 8 * q^7 - 2 * q^8 - q^9	\( 8 q - 2 q^{2} + 3 q^{3} - 2 q^{4} + 3 q^{6} + 8 q^{7} - 2 q^{8} - q^{9} + 5 q^{10} - q^{11} - 2 q^{12} + 11 q^{13} - 2 q^{14} + 10 q^{15} - 2 q^{16} + 14 q^{17} - 6 q^{18} - 6 q^{19} - 5 q^{20} + 3 q^{21} + 4 q^{22} + 15 q^{23} - 2 q^{24} - 20 q^{25} - 14 q^{26} - 2 q^{28} - 8 q^{29} - 5 q^{30} - 7 q^{31} + 8 q^{32} - 11 q^{33} - 21 q^{34} - q^{36} + 14 q^{37} + 14 q^{38} - 4 q^{39} - 5 q^{40} + 3 q^{41} + 3 q^{42} - 6 q^{43} + 4 q^{44} - 10 q^{45} - 10 q^{46} + 2 q^{47} - 2 q^{48} + 8 q^{49} + 5 q^{50} + 14 q^{51} + 11 q^{52} + 4 q^{53} - 5 q^{54} + 20 q^{55} - 2 q^{56} - 36 q^{57} - 8 q^{58} + 11 q^{59} + 15 q^{60} + 13 q^{62} - q^{63} - 2 q^{64} - 20 q^{65} + 24 q^{66} + 14 q^{67} + 14 q^{68} - 5 q^{69} + 5 q^{70} + 23 q^{71} + 4 q^{72} - 5 q^{73} - 36 q^{74} - 45 q^{75} - 16 q^{76} - q^{77} + 6 q^{78} + 2 q^{79} + 5 q^{80} - 7 q^{81} - 12 q^{82} - 27 q^{83} - 2 q^{84} + 15 q^{85} + 4 q^{86} - 28 q^{87} - q^{88} - 15 q^{89} - 5 q^{90} + 11 q^{91} - 10 q^{92} + 38 q^{93} + 2 q^{94} + 20 q^{95} + 3 q^{96} + 40 q^{97} - 2 q^{98} - 8 q^{99}+O(q^{100}) \) 8 * q - 2 * q^2 + 3 * q^3 - 2 * q^4 + 3 * q^6 + 8 * q^7 - 2 * q^8 - q^9 + 5 * q^10 - q^11 - 2 * q^12 + 11 * q^13 - 2 * q^14 + 10 * q^15 - 2 * q^16 + 14 * q^17 - 6 * q^18 - 6 * q^19 - 5 * q^20 + 3 * q^21 + 4 * q^22 + 15 * q^23 - 2 * q^24 - 20 * q^25 - 14 * q^26 - 2 * q^28 - 8 * q^29 - 5 * q^30 - 7 * q^31 + 8 * q^32 - 11 * q^33 - 21 * q^34 - q^36 + 14 * q^37 + 14 * q^38 - 4 * q^39 - 5 * q^40 + 3 * q^41 + 3 * q^42 - 6 * q^43 + 4 * q^44 - 10 * q^45 - 10 * q^46 + 2 * q^47 - 2 * q^48 + 8 * q^49 + 5 * q^50 + 14 * q^51 + 11 * q^52 + 4 * q^53 - 5 * q^54 + 20 * q^55 - 2 * q^56 - 36 * q^57 - 8 * q^58 + 11 * q^59 + 15 * q^60 + 13 * q^62 - q^63 - 2 * q^64 - 20 * q^65 + 24 * q^66 + 14 * q^67 + 14 * q^68 - 5 * q^69 + 5 * q^70 + 23 * q^71 + 4 * q^72 - 5 * q^73 - 36 * q^74 - 45 * q^75 - 16 * q^76 - q^77 + 6 * q^78 + 2 * q^79 + 5 * q^80 - 7 * q^81 - 12 * q^82 - 27 * q^83 - 2 * q^84 + 15 * q^85 + 4 * q^86 - 28 * q^87 - q^88 - 15 * q^89 - 5 * q^90 + 11 * q^91 - 10 * q^92 + 38 * q^93 + 2 * q^94 + 20 * q^95 + 3 * q^96 + 40 * q^97 - 2 * q^98 - 8 * q^99

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