LMFDB - Embedded newform 637.2.w.b.92.21

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$174$
Relative dimension:	$29$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.21
Character	$\chi$	$=$	637.92
Dual form			637.2.w.b.547.21

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.933262 - 1.17027i) q^{2} +(-1.67867 - 0.808405i) q^{3} +(-0.0535208 - 0.234490i) q^{4} +(2.90691 + 1.39989i) q^{5} +(-2.51269 + 1.21005i) q^{6} +(-2.13442 + 1.56341i) q^{7} +(2.37284 + 1.14270i) q^{8} +(0.293945 + 0.368596i) q^{9} +O(q^{10})$	\(q+(0.933262 - 1.17027i) q^{2} +(-1.67867 - 0.808405i) q^{3} +(-0.0535208 - 0.234490i) q^{4} +(2.90691 + 1.39989i) q^{5} +(-2.51269 + 1.21005i) q^{6} +(-2.13442 + 1.56341i) q^{7} +(2.37284 + 1.14270i) q^{8} +(0.293945 + 0.368596i) q^{9} +(4.35117 - 2.09541i) q^{10} +(-2.84206 + 3.56383i) q^{11} +(-0.0997190 + 0.436898i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-0.162353 + 3.95693i) q^{14} +(-3.74806 - 4.69992i) q^{15} +(3.98516 - 1.91915i) q^{16} +(-1.67931 + 7.35756i) q^{17} +0.705686 q^{18} +4.53615 q^{19} +(0.172681 - 0.756564i) q^{20} +(4.84685 - 0.898977i) q^{21} +(1.51827 + 6.65199i) q^{22} +(1.22419 + 5.36354i) q^{23} +(-3.05945 - 3.83643i) q^{24} +(3.37296 + 4.22956i) q^{25} +(-0.333078 - 1.45931i) q^{26} +(1.04833 + 4.59303i) q^{27} +(0.480840 + 0.416825i) q^{28} +(1.76030 - 7.71239i) q^{29} -8.99811 q^{30} -7.52498 q^{31} +(0.301179 - 1.31955i) q^{32} +(7.65191 - 3.68496i) q^{33} +(7.04312 + 8.83179i) q^{34} +(-8.39317 + 1.55673i) q^{35} +(0.0706998 - 0.0886547i) q^{36} +(1.96551 - 8.61146i) q^{37} +(4.23342 - 5.30854i) q^{38} +(-1.67867 + 0.808405i) q^{39} +(5.29797 + 6.64344i) q^{40} +(4.09940 + 1.97417i) q^{41} +(3.47134 - 6.51113i) q^{42} +(7.13531 - 3.43618i) q^{43} +(0.987793 + 0.475696i) q^{44} +(0.338477 + 1.48297i) q^{45} +(7.41930 + 3.57295i) q^{46} +(0.663491 - 0.831992i) q^{47} -8.24121 q^{48} +(2.11149 - 6.67395i) q^{49} +8.09760 q^{50} +(8.76690 - 10.9933i) q^{51} +(-0.216701 - 0.104358i) q^{52} +(-2.34585 - 10.2778i) q^{53} +(6.35347 + 3.05967i) q^{54} +(-13.2506 + 6.38115i) q^{55} +(-6.85114 + 1.27073i) q^{56} +(-7.61470 - 3.66705i) q^{57} +(-7.38279 - 9.25772i) q^{58} +(-3.16067 + 1.52210i) q^{59} +(-0.901484 + 1.13043i) q^{60} +(-1.26904 + 5.56002i) q^{61} +(-7.02278 + 8.80629i) q^{62} +(-1.20367 - 0.327180i) q^{63} +(4.25247 + 5.33243i) q^{64} +(2.90691 - 1.39989i) q^{65} +(2.82882 - 12.3939i) q^{66} +5.37417 q^{67} +1.81515 q^{68} +(2.28090 - 9.99326i) q^{69} +(-6.01122 + 11.2751i) q^{70} +(1.51892 + 6.65483i) q^{71} +(0.276291 + 1.21051i) q^{72} +(2.88891 + 3.62258i) q^{73} +(-8.24343 - 10.3369i) q^{74} +(-2.24289 - 9.82676i) q^{75} +(-0.242778 - 1.06368i) q^{76} +(0.494414 - 12.0500i) q^{77} +(-0.620584 + 2.71896i) q^{78} -10.2738 q^{79} +14.2711 q^{80} +(2.26795 - 9.93655i) q^{81} +(6.13613 - 2.95500i) q^{82} +(-1.25401 - 1.57248i) q^{83} +(-0.470209 - 1.08842i) q^{84} +(-15.1814 + 19.0369i) q^{85} +(2.63784 - 11.5571i) q^{86} +(-9.18970 + 11.5235i) q^{87} +(-10.8162 + 5.20879i) q^{88} +(8.37947 + 10.5075i) q^{89} +(2.05136 + 0.987885i) q^{90} +(-0.108464 + 2.64353i) q^{91} +(1.19218 - 0.574122i) q^{92} +(12.6320 + 6.08323i) q^{93} +(-0.354447 - 1.55293i) q^{94} +(13.1862 + 6.35012i) q^{95} +(-1.57231 + 1.97162i) q^{96} -0.268125 q^{97} +(-5.83978 - 8.69957i) q^{98} -2.14902 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) $ 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.933262	−	1.17027i	0.659916	−	0.827509i	−0.333418	−	0.942779i	$-0.608202\pi$
$2$	0.933262	−	1.17027i	0.659916	−	0.827509i	0.993334	+	0.115270i	$0.0367734\pi$
$3$	−1.67867	−	0.808405i	−0.969181	−	0.466733i	−0.118810	−	0.992917i	$-0.537908\pi$
$3$	−1.67867	−	0.808405i	−0.969181	−	0.466733i	−0.850371	+	0.526184i	$0.823622\pi$
$4$	−0.0535208	−	0.234490i	−0.0267604	−	0.117245i
$5$	2.90691	+	1.39989i	1.30001	+	0.626051i	0.950454	−	0.310865i	$-0.100619\pi$
$5$	2.90691	+	1.39989i	1.30001	+	0.626051i	0.349554	+	0.936916i	$0.386333\pi$
$6$	−2.51269	+	1.21005i	−1.02580	+	0.494001i
$7$	−2.13442	+	1.56341i	−0.806735	+	0.590914i
$7$	−2.13442	+	1.56341i	−0.806735	+	0.590914i
$8$	2.37284	+	1.14270i	0.838926	+	0.404005i
$9$	0.293945	+	0.368596i	0.0979817	+	0.122865i
$10$	4.35117	−	2.09541i	1.37596	−	0.662627i
$11$	−2.84206	+	3.56383i	−0.856914	+	1.07454i	0.139524	+	0.990219i	$0.455443\pi$
$11$	−2.84206	+	3.56383i	−0.856914	+	1.07454i	−0.996439	+	0.0843181i	$0.973129\pi$
$12$	−0.0997190	+	0.436898i	−0.0287864	+	0.126121i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$14$	−0.162353	+	3.95693i	−0.0433907	+	1.05753i
$15$	−3.74806	−	4.69992i	−0.967744	−	1.21351i
$16$	3.98516	−	1.91915i	0.996289	−	0.479788i
$17$	−1.67931	+	7.35756i	−0.407294	+	1.78447i	0.189293	+	0.981921i	$0.439381\pi$
$17$	−1.67931	+	7.35756i	−0.407294	+	1.78447i	−0.596586	+	0.802549i	$0.703477\pi$
$18$	0.705686			0.166332
$19$	4.53615			1.04066			0.520332	−	0.853964i	$-0.325808\pi$
$19$	4.53615			1.04066			0.520332	+	0.853964i	$0.325808\pi$
$20$	0.172681	−	0.756564i	0.0386126	−	0.169173i
$21$	4.84685	−	0.898977i	1.05767	−	0.196173i
$22$	1.51827	+	6.65199i	0.323697	+	1.41821i
$23$	1.22419	+	5.36354i	0.255262	+	1.11838i	0.926251	+	0.376908i	$0.123013\pi$
$23$	1.22419	+	5.36354i	0.255262	+	1.11838i	−0.670989	+	0.741467i	$0.734130\pi$
$24$	−3.05945	−	3.83643i	−0.624508	−	0.783108i
$25$	3.37296	+	4.22956i	0.674592	+	0.845912i
$26$	−0.333078	−	1.45931i	−0.0653219	−	0.286194i
$27$	1.04833	+	4.59303i	0.201751	+	0.883929i
$28$	0.480840	+	0.416825i	0.0908702	+	0.0787725i
$29$	1.76030	−	7.71239i	0.326880	−	1.43216i	−0.498162	−	0.867084i	$-0.665991\pi$
$29$	1.76030	−	7.71239i	0.326880	−	1.43216i	0.825042	−	0.565071i	$-0.191151\pi$
$30$	−8.99811			−1.64282
$31$	−7.52498			−1.35153			−0.675763	−	0.737119i	$-0.736186\pi$
$31$	−7.52498			−1.35153			−0.675763	+	0.737119i	$0.736186\pi$
$32$	0.301179	−	1.31955i	0.0532414	−	0.233266i
$33$	7.65191	−	3.68496i	1.33203	−	0.641470i
$34$	7.04312	+	8.83179i	1.20788	+	1.51464i
$35$	−8.39317	+	1.55673i	−1.41870	+	0.263136i
$36$	0.0706998	−	0.0886547i	0.0117833	−	0.0147758i
$37$	1.96551	−	8.61146i	0.323128	−	1.41572i	−0.508825	−	0.860870i	$-0.669920\pi$
$37$	1.96551	−	8.61146i	0.323128	−	1.41572i	0.831953	−	0.554846i	$-0.187223\pi$
$38$	4.23342	−	5.30854i	0.686751	−	0.861159i
$39$	−1.67867	+	0.808405i	−0.268802	+	0.129448i
$40$	5.29797	+	6.64344i	0.837683	+	1.05042i
$41$	4.09940	+	1.97417i	0.640218	+	0.308313i	0.725684	−	0.688028i	$-0.241524\pi$
$41$	4.09940	+	1.97417i	0.640218	+	0.308313i	−0.0854657	+	0.996341i	$0.527238\pi$
$42$	3.47134	−	6.51113i	0.535639	−	1.00469i
$43$	7.13531	−	3.43618i	1.08812	−	0.524013i	0.198219	−	0.980158i	$-0.436484\pi$
$43$	7.13531	−	3.43618i	1.08812	−	0.524013i	0.889906	+	0.456145i	$0.150770\pi$
$44$	0.987793	+	0.475696i	0.148915	+	0.0717139i
$45$	0.338477	+	1.48297i	0.0504572	+	0.221067i
$46$	7.41930	+	3.57295i	1.09392	+	0.526803i
$47$	0.663491	−	0.831992i	0.0967801	−	0.121358i	−0.731083	−	0.682288i	$-0.760985\pi$
$47$	0.663491	−	0.831992i	0.0967801	−	0.121358i	0.827863	+	0.560930i	$0.189556\pi$
$48$	−8.24121			−1.18952
$49$	2.11149	−	6.67395i	0.301641	−	0.953421i
$50$	8.09760			1.14517
$51$	8.76690	−	10.9933i	1.22761	−	1.53938i
$52$	−0.216701	−	0.104358i	−0.0300511	−	0.0144718i
$53$	−2.34585	−	10.2778i	−0.322227	−	1.41177i	−0.833580	−	0.552398i	$-0.813713\pi$
$53$	−2.34585	−	10.2778i	−0.322227	−	1.41177i	0.511353	−	0.859371i	$-0.329144\pi$
$54$	6.35347	+	3.05967i	0.864598	+	0.416368i
$55$	−13.2506	+	6.38115i	−1.78671	+	0.860435i
$56$	−6.85114	+	1.27073i	−0.915523	+	0.169808i
$57$	−7.61470	−	3.66705i	−1.00859	−	0.485712i
$58$	−7.38279	−	9.25772i	−0.969408	−	1.21560i
$59$	−3.16067	+	1.52210i	−0.411485	+	0.198161i	−0.628162	−	0.778083i	$-0.716192\pi$
$59$	−3.16067	+	1.52210i	−0.411485	+	0.198161i	0.216677	+	0.976243i	$0.430478\pi$
$60$	−0.901484	+	1.13043i	−0.116381	+	0.145937i
$61$	−1.26904	+	5.56002i	−0.162484	+	0.711887i	0.826386	+	0.563104i	$0.190393\pi$
$61$	−1.26904	+	5.56002i	−0.162484	+	0.711887i	−0.988870	+	0.148784i	$0.952464\pi$
$62$	−7.02278	+	8.80629i	−0.891894	+	1.11840i
$63$	−1.20367	−	0.327180i	−0.151648	−	0.0412208i
$64$	4.25247	+	5.33243i	0.531559	+	0.666554i
$65$	2.90691	−	1.39989i	0.360557	−	0.173635i
$66$	2.82882	−	12.3939i	0.348204	−	1.52558i
$67$	5.37417			0.656559			0.328280	−	0.944581i	$-0.393531\pi$
$67$	5.37417			0.656559			0.328280	+	0.944581i	$0.393531\pi$
$68$	1.81515			0.220119
$69$	2.28090	−	9.99326i	0.274588	−	1.20305i
$70$	−6.01122	+	11.2751i	−0.718478	+	1.34764i
$71$	1.51892	+	6.65483i	0.180263	+	0.789783i	0.981504	+	0.191441i	$0.0613162\pi$
$71$	1.51892	+	6.65483i	0.180263	+	0.789783i	−0.801241	+	0.598341i	$0.795827\pi$
$72$	0.276291	+	1.21051i	0.0325612	+	0.142660i
$73$	2.88891	+	3.62258i	0.338122	+	0.423991i	0.921602	−	0.388136i	$-0.126881\pi$
$73$	2.88891	+	3.62258i	0.338122	+	0.423991i	−0.583480	+	0.812127i	$0.698309\pi$
$74$	−8.24343	−	10.3369i	−0.958280	−	1.20164i
$75$	−2.24289	−	9.82676i	−0.258987	−	1.13470i
$76$	−0.242778	−	1.06368i	−0.0278486	−	0.122013i
$77$	0.494414	−	12.0500i	0.0563437	−	1.37323i
$78$	−0.620584	+	2.71896i	−0.0702673	+	0.307861i
$79$	−10.2738			−1.15590			−0.577949	−	0.816073i	$-0.696147\pi$
$79$	−10.2738			−1.15590			−0.577949	+	0.816073i	$0.696147\pi$
$80$	14.2711			1.59556
$81$	2.26795	−	9.93655i	0.251995	−	1.10406i
$82$	6.13613	−	2.95500i	0.677622	−	0.326326i
$83$	−1.25401	−	1.57248i	−0.137646	−	0.172602i	0.708231	−	0.705981i	$-0.249494\pi$
$83$	−1.25401	−	1.57248i	−0.137646	−	0.172602i	−0.845877	+	0.533379i	$0.820922\pi$
$84$	−0.470209	−	1.08842i	−0.0513040	−	0.118757i
$85$	−15.1814	+	19.0369i	−1.64665	+	2.06484i
$86$	2.63784	−	11.5571i	0.284445	−	1.24624i
$87$	−9.18970	+	11.5235i	−0.985240	+	1.23545i
$88$	−10.8162	+	5.20879i	−1.15301	+	0.555258i
$89$	8.37947	+	10.5075i	0.888222	+	1.11380i	0.992860	+	0.119285i	$0.0380602\pi$
$89$	8.37947	+	10.5075i	0.888222	+	1.11380i	−0.104638	+	0.994510i	$0.533368\pi$
$90$	2.05136	+	0.987885i	0.216233	+	0.104132i
$91$	−0.108464	+	2.64353i	−0.0113701	+	0.277117i
$92$	1.19218	−	0.574122i	0.124293	−	0.0598563i
$93$	12.6320	+	6.08323i	1.30987	+	0.630802i
$94$	−0.354447	−	1.55293i	−0.0365584	−	0.160173i
$95$	13.1862	+	6.35012i	1.35287	+	0.651509i
$96$	−1.57231	+	1.97162i	−0.160473	+	0.201227i
$97$	−0.268125			−0.0272240			−0.0136120	−	0.999907i	$-0.504333\pi$
$97$	−0.268125			−0.0272240			−0.0136120	+	0.999907i	$0.504333\pi$
$98$	−5.83978	−	8.69957i	−0.589907	−	0.878789i
$99$	−2.14902			−0.215985
$100$	0.811266	−	1.01730i	0.0811266	−	0.101730i
$101$	−4.56007	−	2.19601i	−0.453744	−	0.218512i	0.193031	−	0.981193i	$-0.438168\pi$
$101$	−4.56007	−	2.19601i	−0.453744	−	0.218512i	−0.646775	+	0.762681i	$0.723883\pi$
$102$	−4.68341	−	20.5194i	−0.463727	−	2.03172i
$103$	0.512766	+	0.246935i	0.0505243	+	0.0243312i	0.458975	−	0.888449i	$-0.348217\pi$
$103$	0.512766	+	0.246935i	0.0505243	+	0.0243312i	−0.408451	+	0.912780i	$0.633931\pi$
$104$	2.37284	−	1.14270i	0.232676	−	0.112051i
$105$	15.3478	+	4.17183i	1.49779	+	0.407129i
$106$	−14.2172	−	6.84663i	−1.38089	−	0.665003i
$107$	−6.21656	−	7.79532i	−0.600978	−	0.753602i	0.384552	−	0.923103i	$-0.374356\pi$
$107$	−6.21656	−	7.79532i	−0.600978	−	0.753602i	−0.985530	+	0.169501i	$0.945784\pi$
$108$	1.02091	−	0.491645i	0.0982373	−	0.0473086i
$109$	−3.59582	+	4.50901i	−0.344417	+	0.431885i	−0.923627	−	0.383294i	$-0.874790\pi$
$109$	−3.59582	+	4.50901i	−0.344417	+	0.431885i	0.579210	+	0.815178i	$0.303361\pi$
$110$	−4.89859	+	21.4621i	−0.467062	+	2.04633i
$111$	−10.2610	+	12.8669i	−0.973930	+	1.22127i
$112$	−5.50557	+	10.3267i	−0.520228	+	0.975783i
$113$	2.03374	+	2.55023i	0.191319	+	0.239906i	0.868234	−	0.496155i	$-0.165255\pi$
$113$	2.03374	+	2.55023i	0.191319	+	0.239906i	−0.676915	+	0.736061i	$0.736684\pi$
$114$	−11.3980	+	5.48897i	−1.06752	+	0.514089i
$115$	−3.94976	+	17.3051i	−0.368317	+	1.61370i
$116$	−1.90269			−0.176660
$117$	0.471451			0.0435857
$118$	−1.16846	+	5.11937i	−0.107566	+	0.471277i
$119$	−7.91853	−	18.3296i	−0.725890	−	1.68027i
$120$	−3.52295	−	15.4351i	−0.321600	−	1.40902i
$121$	−2.17586	−	9.53308i	−0.197806	−	0.866644i
$122$	5.32240	+	6.67408i	0.481867	+	0.604243i
$123$	−5.28561	−	6.62794i	−0.476587	−	0.597622i
$124$	0.402743	+	1.76453i	0.0361674	+	0.158460i
$125$	0.294223	+	1.28907i	0.0263161	+	0.115298i
$126$	−1.50623	+	1.10328i	−0.134186	+	0.0982878i
$127$	2.26528	−	9.92483i	0.201011	−	0.880686i	−0.769312	−	0.638873i	$-0.779401\pi$
$127$	2.26528	−	9.92483i	0.201011	−	0.880686i	0.970323	−	0.241813i	$-0.0777421\pi$
$128$	12.9160			1.14163
$129$	−14.7557			−1.29916
$130$	1.07465	−	4.70835i	0.0942530	−	0.412949i
$131$	0.00145607		0.000701208i	0.000127218		6.12648e-5i	−0.433820	−	0.900999i	$-0.642835\pi$
$131$	0.00145607		0.000701208i	0.000127218		6.12648e-5i	0.433947	+	0.900938i	$0.357120\pi$
$132$	−1.27362	−	1.59707i	−0.110855	−	0.139007i
$133$	−9.68204	+	7.09187i	−0.839540	+	0.614943i
$134$	5.01551	−	6.28925i	0.433274	−	0.543308i
$135$	−3.38235	+	14.8191i	−0.291107	+	1.27542i
$136$	−12.3922	+	15.5394i	−1.06262	+	1.33249i
$137$	5.16899	−	2.48925i	0.441617	−	0.212671i	−0.199843	−	0.979828i	$-0.564043\pi$
$137$	5.16899	−	2.48925i	0.441617	−	0.212671i	0.641460	+	0.767156i	$0.278329\pi$
$138$	−9.56617	−	11.9956i	−0.814327	−	1.02113i
$139$	−14.0179	−	6.75066i	−1.18898	−	0.572583i	−0.268466	−	0.963289i	$-0.586517\pi$
$139$	−14.0179	−	6.75066i	−1.18898	−	0.572583i	−0.920515	+	0.390706i	$0.872231\pi$
$140$	0.814248	+	1.88480i	0.0688165	+	0.159294i
$141$	−1.78637	+	0.860270i	−0.150439	+	0.0724478i
$142$	9.20552	+	4.43315i	0.772510	+	0.372021i
$143$	1.01432	+	4.44403i	0.0848218	+	0.371628i
$144$	1.87881	+	0.904786i	0.156567	+	0.0753989i
$145$	15.9136	−	19.9550i	1.32155	−	1.65717i
$146$	6.93553			0.573988
$147$	−8.93975	+	9.49642i	−0.737338	+	0.783252i
$148$	−2.12450			−0.174633
$149$	−5.92760	+	7.43298i	−0.485608	+	0.608933i	−0.962915	−	0.269803i	$-0.913041\pi$
$149$	−5.92760	+	7.43298i	−0.485608	+	0.608933i	0.477308	+	0.878736i	$0.341613\pi$
$150$	−13.5932	−	6.54614i	−1.10988	−	0.534490i
$151$	−3.61158	−	15.8234i	−0.293906	−	1.28769i	−0.879039	−	0.476749i	$-0.841815\pi$
$151$	−3.61158	−	15.8234i	−0.293906	−	1.28769i	0.585133	−	0.810937i	$-0.301042\pi$
$152$	10.7636	+	5.18346i	0.873040	+	0.420434i
$153$	−3.20559	+	1.54373i	−0.259157	+	0.124803i
$154$	−13.6404	−	11.8244i	−1.09918	−	0.952841i
$155$	−21.8744	−	10.5342i	−1.75700	−	0.846124i
$156$	0.279407	+	0.350365i	0.0223704	+	0.0280516i
$157$	14.4216	−	6.94508i	1.15097	−	0.554278i	0.241645	−	0.970365i	$-0.422313\pi$
$157$	14.4216	−	6.94508i	1.15097	−	0.554278i	0.909325	+	0.416087i	$0.136599\pi$
$158$	−9.58819	+	12.0232i	−0.762795	+	0.956515i
$159$	−4.37074	+	19.1495i	−0.346623	+	1.51865i
$160$	2.72273	−	3.41420i	0.215251	−	0.269916i
$161$	−10.9984	−	9.53412i	−0.866792	−	0.751394i
$162$	−9.51189	−	11.9275i	−0.747325	−	0.937116i
$163$	13.0645	−	6.29152i	1.02329	−	0.492790i	0.154511	−	0.987991i	$-0.450620\pi$
$163$	13.0645	−	6.29152i	1.02329	−	0.492790i	0.868778	+	0.495201i	$0.164906\pi$
$164$	0.243519	−	1.06693i	0.0190156	−	0.0833129i
$165$	27.4019			2.13324
$166$	−3.01055			−0.233664
$167$	1.13119	−	4.95605i	0.0875338	−	0.383511i	−0.912117	−	0.409930i	$-0.865553\pi$
$167$	1.13119	−	4.95605i	0.0875338	−	0.383511i	0.999651	+	0.0264190i	$0.00841042\pi$
$168$	12.5281	+	3.40537i	0.966562	+	0.262730i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	8.11013	+	35.5328i	0.622019	+	2.72524i
$171$	1.33338	+	1.67200i	0.101966	+	0.127861i
$172$	−1.18764	−	1.48925i	−0.0905565	−	0.113554i
$173$	2.36061	+	10.3425i	0.179474	+	0.786327i	0.981873	+	0.189539i	$0.0606994\pi$
$173$	2.36061	+	10.3425i	0.179474	+	0.786327i	−0.802399	+	0.596788i	$0.796443\pi$
$174$	4.90928	+	21.5089i	0.372171	+	1.63059i
$175$	−13.8119	−	3.75433i	−1.04408	−	0.283800i
$176$	−4.48653	+	19.6568i	−0.338185	+	1.48169i
$177$	6.53620			0.491291
$178$	20.1169			1.50783
$179$	−0.706760	+	3.09652i	−0.0528258	+	0.231445i	−0.994448	−	0.105225i	$-0.966444\pi$
$179$	−0.706760	+	3.09652i	−0.0528258	+	0.231445i	0.941623	+	0.336670i	$0.109301\pi$
$180$	0.329625	−	0.158739i	0.0245688	−	0.0118317i
$181$	−1.78173	−	2.23422i	−0.132435	−	0.166068i	0.711192	−	0.702998i	$-0.248156\pi$
$181$	−1.78173	−	2.23422i	−0.132435	−	0.166068i	−0.843627	+	0.536929i	$0.819584\pi$
$182$	2.99243	+	2.59404i	0.221813	+	0.192283i
$183$	6.62504	−	8.30754i	0.489737	−	0.614111i
$184$	−3.22410	+	14.1257i	−0.237684	+	1.04136i
$185$	17.7687	−	22.2812i	1.30638	−	1.63815i
$186$	18.9080	−	9.10560i	1.38640	−	0.667655i
$187$	−21.4484	−	26.8954i	−1.56846	−	1.96679i
$188$	−0.230604	−	0.111053i	−0.0168185	−	0.00809938i
$189$	−9.41837	−	8.16448i	−0.685086	−	0.593879i
$190$	19.7375	−	9.50510i	1.43191	−	0.689572i
$191$	−10.0448	−	4.83733i	−0.726817	−	0.350017i	0.0336142	−	0.999435i	$-0.489298\pi$
$191$	−10.0448	−	4.83733i	−0.726817	−	0.350017i	−0.760432	+	0.649418i	$0.775013\pi$
$192$	−2.82773	−	12.3891i	−0.204074	−	0.894107i
$193$	17.2876	+	8.32525i	1.24439	+	0.599264i	0.936001	−	0.351997i	$-0.114497\pi$
$193$	17.2876	+	8.32525i	1.24439	+	0.599264i	0.308384	+	0.951262i	$0.400212\pi$
$194$	−0.250231	+	0.313780i	−0.0179656	+	0.0225281i
$195$	−6.01142			−0.430487
$196$	−1.67798	−	0.137928i	−0.119856	−	0.00985198i
$197$	4.75321			0.338652			0.169326	−	0.985560i	$-0.445841\pi$
$197$	4.75321			0.338652			0.169326	+	0.985560i	$0.445841\pi$
$198$	−2.00560	+	2.51495i	−0.142532	+	0.178730i
$199$	19.3764	+	9.33117i	1.37355	+	0.661469i	0.967615	−	0.252431i	$-0.0812300\pi$
$199$	19.3764	+	9.33117i	1.37355	+	0.661469i	0.405940	+	0.913900i	$0.366944\pi$
$200$	3.17038	+	13.8904i	0.224180	+	0.982196i
$201$	−9.02146	−	4.34450i	−0.636324	−	0.306438i
$202$	−6.82568	+	3.28707i	−0.480253	+	0.231278i
$203$	8.30042	+	19.2136i	0.582575	+	1.34853i
$204$	−3.04704	−	1.46738i	−0.213335	−	0.102737i
$205$	9.15295	+	11.4774i	0.639269	+	0.801619i
$206$	0.767527	−	0.369621i	0.0534761	−	0.0257527i
$207$	−1.61713	+	2.02782i	−0.112398	+	0.140943i
$208$	0.984252	−	4.31229i	0.0682456	−	0.299004i
$209$	−12.8920	+	16.1661i	−0.891760	+	1.11823i
$210$	19.2057	−	14.0678i	1.32532	−	0.970767i
$211$	4.17602	+	5.23657i	0.287489	+	0.360500i	0.904514	−	0.426444i	$-0.140234\pi$
$211$	4.17602	+	5.23657i	0.287489	+	0.360500i	−0.617025	+	0.786944i	$0.711662\pi$
$212$	−2.28450	+	1.10016i	−0.156900	+	0.0755590i
$213$	2.83003	−	12.3992i	0.193910	−	0.849577i
$214$	−14.9243			−1.02021
$215$	25.5520			1.74263
$216$	−2.76094	+	12.0965i	−0.187858	+	0.823059i
$217$	16.0615	−	11.7646i	1.09032	−	0.798636i
$218$	1.92094	+	8.41618i	0.130102	+	0.570016i
$219$	−1.92102	−	8.41653i	−0.129810	−	0.568737i
$220$	2.20550	+	2.76561i	0.148695	+	0.186457i
$221$	4.70533	+	5.90030i	0.316515	+	0.396897i
$222$	5.48157	+	24.0163i	0.367899	+	1.61187i
$223$	−3.73430	−	16.3610i	−0.250067	−	1.09562i	−0.931502	−	0.363737i	$-0.881501\pi$
$223$	−3.73430	−	16.3610i	−0.250067	−	1.09562i	0.681435	−	0.731879i	$-0.261356\pi$
$224$	1.42016	+	3.28734i	0.0948884	+	0.219645i
$225$	−0.567532	+	2.48652i	−0.0378354	+	0.165768i
$226$	4.88249			0.324778
$227$	25.3580			1.68307			0.841536	−	0.540201i	$-0.181652\pi$
$227$	25.3580			1.68307			0.841536	+	0.540201i	$0.181652\pi$
$228$	−0.452341	+	1.98183i	−0.0299570	+	0.131250i
$229$	−20.1167	+	9.68772i	−1.32935	+	0.640182i	−0.957587	−	0.288144i	$-0.906962\pi$
$229$	−20.1167	+	9.68772i	−1.32935	+	0.640182i	−0.371765	+	0.928327i	$0.621247\pi$
$230$	16.5655	+	20.7725i	1.09230	+	1.36970i
$231$	−10.5713	+	19.8283i	−0.695538	+	1.30461i
$232$	12.9899	−	16.2888i	0.852827	−	1.06941i
$233$	−1.47533	+	6.46385i	−0.0966522	+	0.423461i	−0.999985	−	0.00547938i	$-0.998256\pi$
$233$	−1.47533	+	6.46385i	−0.0966522	+	0.423461i	0.903333	+	0.428940i	$0.141113\pi$
$234$	0.439988	−	0.551727i	0.0287629	−	0.0360676i
$235$	3.09341	−	1.48971i	0.201792	−	0.0971777i
$236$	0.526079	+	0.659682i	0.0342448	+	0.0429416i
$237$	17.2464	+	8.30542i	1.12027	+	0.539495i
$238$	−28.8407	−	7.83945i	−1.86946	−	0.508156i
$239$	−9.91060	+	4.77269i	−0.641063	+	0.308720i	−0.726029	−	0.687664i	$-0.758636\pi$
$239$	−9.91060	+	4.77269i	−0.641063	+	0.308720i	0.0849657	+	0.996384i	$0.472922\pi$
$240$	−23.9564	−	11.5368i	−1.54638	−	0.744698i
$241$	−3.91596	−	17.1570i	−0.252249	−	1.10518i	−0.929325	−	0.369263i	$-0.879610\pi$
$241$	−3.91596	−	17.1570i	−0.252249	−	1.10518i	0.677075	−	0.735914i	$-0.263247\pi$
$242$	−13.1870	−	6.35051i	−0.847691	−	0.408226i
$243$	−3.02784	+	3.79679i	−0.194236	+	0.243564i
$244$	1.37169			0.0878133
$245$	15.4807	−	16.4447i	0.989027	−	1.05061i
$246$	−12.6894			−0.809045
$247$	2.82824	−	3.54650i	0.179957	−	0.225659i
$248$	−17.8556	−	8.59879i	−1.13383	−	0.546024i
$249$	0.833870	+	3.65342i	0.0528444	+	0.231526i
$250$	1.78316	+	0.858723i	0.112777	+	0.0543104i
$251$	15.2503	−	7.34415i	0.962589	−	0.463558i	0.114506	−	0.993423i	$-0.463471\pi$
$251$	15.2503	−	7.34415i	0.962589	−	0.463558i	0.848083	+	0.529864i	$0.177757\pi$
$252$	−0.0122991	+	0.299759i	−0.000774773	+	0.0188831i
$253$	−22.5940	−	10.8807i	−1.42047	−	0.684064i
$254$	−9.50067	−	11.9135i	−0.596125	−	0.747517i
$255$	40.8741	−	19.6839i	2.55963	−	1.23265i
$256$	3.54912	−	4.45046i	0.221820	−	0.278154i
$257$	−1.84132	+	8.06733i	−0.114858	+	0.503226i	0.884471	+	0.466596i	$0.154520\pi$
$257$	−1.84132	+	8.06733i	−0.114858	+	0.503226i	−0.999329	+	0.0366307i	$0.988337\pi$
$258$	−13.7709	+	17.2682i	−0.857339	+	1.07507i
$259$	9.26804	+	21.4534i	0.575888	+	1.33305i
$260$	−0.483841	−	0.606717i	−0.0300065	−	0.0376270i
$261$	3.36019	−	1.61818i	0.207990	−	0.100163i
$262$	0.000538293	−	0.00235842i	3.32559e−5	−	0.000145703i
$263$	6.01748			0.371054			0.185527	−	0.982639i	$-0.440601\pi$
$263$	6.01748			0.371054			0.185527	+	0.982639i	$0.440601\pi$
$264$	22.3676			1.37663
$265$	7.56870	−	33.1606i	0.464942	−	2.03704i
$266$	−0.736458	+	17.9492i	−0.0451551	+	1.10054i
$267$	−5.57203	−	24.4127i	−0.341003	−	1.49403i
$268$	−0.287630	−	1.26019i	−0.0175698	−	0.0769783i
$269$	−8.21987	−	10.3074i	−0.501174	−	0.628453i	0.465319	−	0.885143i	$-0.345939\pi$
$269$	−8.21987	−	10.3074i	−0.501174	−	0.628453i	−0.966494	+	0.256690i	$0.917368\pi$
$270$	14.1857	+	17.7884i	0.863317	+	1.08256i
$271$	−3.69065	−	16.1698i	−0.224191	−	0.982246i	−0.954285	−	0.298899i	$-0.903381\pi$
$271$	−3.69065	−	16.1698i	−0.224191	−	0.982246i	0.730094	−	0.683347i	$-0.239476\pi$
$272$	7.42793	+	32.5439i	0.450384	+	1.97326i
$273$	2.31912	−	4.34993i	0.140359	−	0.263270i
$274$	1.91091	−	8.37226i	0.115443	−	0.505787i
$275$	−24.6596			−1.48703
$276$	−2.46539			−0.148399
$277$	5.03853	−	22.0752i	0.302736	−	1.32637i	−0.563243	−	0.826291i	$-0.690446\pi$
$277$	5.03853	−	22.0752i	0.302736	−	1.32637i	0.865979	−	0.500081i	$-0.166696\pi$
$278$	−20.9825	+	10.1046i	−1.25845	+	0.606035i
$279$	−2.21193	−	2.77367i	−0.132425	−	0.166056i
$280$	−21.6945	−	5.89699i	−1.29650	−	0.352412i
$281$	−6.90247	+	8.65542i	−0.411767	+	0.516339i	−0.943860	−	0.330347i	$-0.892834\pi$
$281$	−6.90247	+	8.65542i	−0.411767	+	0.516339i	0.532093	+	0.846686i	$0.321406\pi$
$282$	−0.660399	+	2.89340i	−0.0393262	+	0.172299i
$283$	−10.5580	+	13.2393i	−0.627609	+	0.786997i	−0.989393	−	0.145265i	$-0.953596\pi$
$283$	−10.5580	+	13.2393i	−0.627609	+	0.786997i	0.361784	+	0.932262i	$0.382168\pi$
$284$	1.47920	−	0.712343i	0.0877741	−	0.0422698i
$285$	−17.0018	−	21.3195i	−1.00710	−	1.26286i
$286$	6.14736	+	2.96041i	0.363501	+	0.175053i
$287$	−11.8363	+	2.19535i	−0.698672	+	0.129587i
$288$	0.574911	−	0.276863i	0.0338770	−	0.0163143i
$289$	−35.9971	−	17.3353i	−2.11748	−	1.01972i
$290$	−8.50126	−	37.2465i	−0.499211	−	2.18719i
$291$	0.450094	+	0.216754i	0.0263850	+	0.0127063i
$292$	0.694842	−	0.871305i	0.0406626	−	0.0509892i
$293$	24.9262			1.45620			0.728102	−	0.685469i	$-0.240403\pi$
$293$	24.9262			1.45620			0.728102	+	0.685469i	$0.240403\pi$
$294$	2.77029	+	19.3246i	0.161566	+	1.12703i
$295$	−11.3186			−0.658992
$296$	14.5042	−	18.1876i	0.843037	−	1.05713i
$297$	−19.3482	−	9.31761i	−1.12270	−	0.540663i
$298$	3.16661	+	13.8738i	0.183437	+	0.803690i
$299$	4.95666	+	2.38700i	0.286651	+	0.138044i
$300$	−2.18423	+	1.05187i	−0.126107	+	0.0607298i
$301$	−9.85757	+	18.4897i	−0.568181	+	1.06573i
$302$	−21.8882	−	10.5408i	−1.25953	−	0.606555i
$303$	5.87958	+	7.37276i	0.337773	+	0.423554i
$304$	18.0773	−	8.70555i	1.03680	−	0.499298i
$305$	−11.4724	+	14.3859i	−0.656908	+	0.823737i
$306$	−1.18507	+	5.19212i	−0.0677459	+	0.296814i
$307$	3.44226	−	4.31645i	0.196460	−	0.246353i	−0.673837	−	0.738880i	$-0.735355\pi$
$307$	3.44226	−	4.31645i	0.196460	−	0.246353i	0.870297	+	0.492527i	$0.163927\pi$
$308$	−2.85207	+	0.528992i	−0.162512	+	0.0301421i
$309$	−0.661141	−	0.829045i	−0.0376110	−	0.0471627i
$310$	−32.7424	+	15.7679i	−1.85965	+	0.895558i
$311$	1.90439	−	8.34368i	0.107988	−	0.473127i	−0.891798	−	0.452434i	$-0.850556\pi$
$311$	1.90439	−	8.34368i	0.107988	−	0.473127i	0.999786	−	0.0206925i	$-0.00658710\pi$
$312$	−4.90698			−0.277803
$313$	4.36627			0.246796			0.123398	−	0.992357i	$-0.460621\pi$
$313$	4.36627			0.246796			0.123398	+	0.992357i	$0.460621\pi$
$314$	5.33150	−	23.3588i	0.300874	−	1.31822i
$315$	−3.04094	−	2.63609i	−0.171337	−	0.148527i
$316$	0.549864	+	2.40911i	0.0309323	+	0.135523i
$317$	−5.17027	−	22.6524i	−0.290391	−	1.27229i	−0.883982	−	0.467520i	$-0.845147\pi$
$317$	−5.17027	−	22.6524i	−0.290391	−	1.27229i	0.593591	−	0.804767i	$-0.297710\pi$
$318$	18.3311	+	22.9865i	1.02796	+	1.28902i
$319$	22.4828	+	28.1925i	1.25880	+	1.57848i
$320$	4.89671	+	21.4539i	0.273734	+	1.19931i
$321$	4.13378	+	18.1113i	0.230725	+	1.01087i
$322$	−21.4219	+	3.97326i	−1.19380	+	0.221421i
$323$	−7.61762	+	33.3750i	−0.423856	+	1.85703i
$324$	−2.45140			−0.136189
$325$	5.40981			0.300082
$326$	4.82978	−	21.1607i	0.267497	−	1.17198i
$327$	9.68129	−	4.66227i	0.535377	−	0.257824i
$328$	7.47133	+	9.36876i	0.412535	+	0.517303i
$329$	−0.115423	+	2.81313i	−0.00636347	+	0.155093i
$330$	25.5732	−	32.0678i	1.40776	−	1.76527i
$331$	−1.93692	+	8.48621i	−0.106463	+	0.466444i	0.893390	+	0.449282i	$0.148320\pi$
$331$	−1.93692	+	8.48621i	−0.106463	+	0.466444i	−0.999853	+	0.0171619i	$0.994537\pi$
$332$	−0.301615	+	0.378213i	−0.0165533	+	0.0207572i
$333$	3.75190	−	1.80682i	0.205603	−	0.0990131i
$334$	−4.74424	−	5.94909i	−0.259593	−	0.325520i
$335$	15.6222	+	7.52326i	0.853533	+	0.411040i
$336$	17.5902	−	12.8844i	0.959624	−	0.702902i
$337$	−31.9017	+	15.3631i	−1.73780	+	0.836880i	−0.754169	+	0.656681i	$0.771960\pi$
$337$	−31.9017	+	15.3631i	−1.73780	+	0.836880i	−0.983630	+	0.180199i	$0.942326\pi$
$338$	−1.34860	−	0.649453i	−0.0733544	−	0.0353256i
$339$	−1.35236	−	5.92509i	−0.0734503	−	0.321807i
$340$	5.27648	+	2.54102i	0.286157	+	0.137806i
$341$	21.3865	−	26.8178i	1.15814	−	1.45226i
$342$	3.20110			0.173095
$343$	5.92733	+	17.5461i	0.320046	+	0.947402i
$344$	20.8575			1.12456
$345$	20.6198	−	25.8565i	1.11013	−	1.39207i
$346$	14.3067	+	6.88972i	0.769130	+	0.370394i
$347$	−5.75205	−	25.2014i	−0.308786	−	1.35288i	−0.856471	−	0.516196i	$-0.827348\pi$
$347$	−5.75205	−	25.2014i	−0.308786	−	1.35288i	0.547684	−	0.836685i	$-0.315510\pi$
$348$	3.19399	+	1.53814i	0.171216	+	0.0824532i
$349$	7.07185	−	3.40563i	0.378548	−	0.182299i	−0.234928	−	0.972013i	$-0.575485\pi$
$349$	7.07185	−	3.40563i	0.378548	−	0.182299i	0.613475	+	0.789714i	$0.289771\pi$
$350$	−17.2837	+	12.6599i	−0.923852	+	0.676699i
$351$	4.24460	+	2.04409i	0.226560	+	0.109106i
$352$	3.84669	+	4.82360i	0.205029	+	0.257099i
$353$	−14.5783	+	7.02056i	−0.775927	+	0.373667i	−0.779561	−	0.626327i	$-0.784558\pi$
$353$	−14.5783	+	7.02056i	−0.775927	+	0.373667i	0.00363395	+	0.999993i	$0.498843\pi$
$354$	6.09999	−	7.64915i	0.324211	−	0.406548i
$355$	−4.90068	+	21.4713i	−0.260101	+	1.13958i
$356$	2.01543	−	2.52727i	0.106818	−	0.133945i
$357$	−1.52512	+	37.1707i	−0.0807177	+	1.96728i
$358$	2.96418	+	3.71697i	0.156662	+	0.196448i
$359$	27.7925	−	13.3842i	1.46683	−	0.706390i	0.481408	−	0.876497i	$-0.340126\pi$
$359$	27.7925	−	13.3842i	1.46683	−	0.706390i	0.985426	+	0.170107i	$0.0544113\pi$
$360$	−0.891432	+	3.90562i	−0.0469826	+	0.205844i
$361$	1.57665			0.0829818
$362$	−4.27747			−0.224819
$363$	−4.05403	+	17.7619i	−0.212782	+	0.932257i
$364$	0.625686	−	0.116050i	0.0327948	−	0.00608267i
$365$	3.32658	+	14.5747i	0.174121	+	0.762874i
$366$	−3.53920	−	15.5062i	−0.184997	−	0.810524i
$367$	−9.68556	−	12.1453i	−0.505582	−	0.633980i	0.461896	−	0.886934i	$-0.347169\pi$
$367$	−9.68556	−	12.1453i	−0.505582	−	0.633980i	−0.967478	+	0.252954i	$0.918598\pi$
$368$	15.1720	+	19.0251i	0.790897	+	0.991754i
$369$	0.477329	+	2.09132i	0.0248488	+	0.108870i
$370$	−9.49229	−	41.5885i	−0.493481	−	2.16208i
$371$	21.0755	+	18.2697i	1.09419	+	0.948514i
$372$	0.750384	−	3.28765i	0.0389056	−	0.170456i
$373$	29.4825			1.52655			0.763273	−	0.646076i	$-0.223591\pi$
$373$	29.4825			1.52655			0.763273	+	0.646076i	$0.223591\pi$
$374$	−51.4920			−2.66259
$375$	0.548191	−	2.40178i	0.0283084	−	0.124027i
$376$	2.52508	−	1.21601i	0.130221	−	0.0627110i
$377$	−4.93226	−	6.18486i	−0.254024	−	0.318536i
$378$	−18.3445	+	3.40247i	−0.943539	+	0.175004i
$379$	21.0794	−	26.4328i	1.08278	−	1.35776i	0.153597	−	0.988134i	$-0.450914\pi$
$379$	21.0794	−	26.4328i	1.08278	−	1.35776i	0.929181	−	0.369626i	$-0.120514\pi$
$380$	0.783306	−	3.43189i	0.0401827	−	0.176052i
$381$	−11.8259	+	14.8293i	−0.605861	+	0.759726i
$382$	−15.0355	+	7.24069i	−0.769281	+	0.370466i
$383$	12.8496	+	16.1129i	0.656583	+	0.823329i	0.992966	−	0.118396i	$-0.0377752\pi$
$383$	12.8496	+	16.1129i	0.656583	+	0.823329i	−0.336383	+	0.941725i	$0.609204\pi$
$384$	−21.6818	−	10.4414i	−1.10644	−	0.532835i
$385$	18.3060	−	34.3362i	0.932959	−	1.74993i
$386$	25.8766	−	12.4615i	1.31709	−	0.634276i
$387$	3.36395	+	1.61999i	0.170999	+	0.0823489i
$388$	0.0143503	+	0.0628727i	0.000728525	+	0.00319188i
$389$	10.0933	+	4.86066i	0.511749	+	0.246445i	0.671893	−	0.740648i	$-0.265482\pi$
$389$	10.0933	+	4.86066i	0.511749	+	0.246445i	−0.160144	+	0.987094i	$0.551196\pi$
$390$	−5.61023	+	7.03501i	−0.284085	+	0.356231i
$391$	−41.5183			−2.09967
$392$	12.6365	−	13.4234i	0.638242	−	0.677985i
$393$	−0.00301113			−0.000151891
$394$	4.43599	−	5.56256i	0.223482	−	0.280238i
$395$	−29.8651	−	14.3823i	−1.50268	−	0.723651i
$396$	0.115018	+	0.503925i	0.00577985	+	0.0253232i
$397$	−15.2891	−	7.36286i	−0.767340	−	0.369531i	0.00890719	−	0.999960i	$-0.497165\pi$
$397$	−15.2891	−	7.36286i	−0.767340	−	0.369531i	−0.776247	+	0.630429i	$0.782879\pi$
$398$	29.0033	−	13.9672i	1.45380	−	0.700114i
$399$	21.9861	−	4.07790i	1.10068	−	0.204150i
$400$	21.5589	+	10.3822i	1.07795	+	0.519112i
$401$	20.3251	+	25.4869i	1.01499	+	1.27275i	0.961680	+	0.274175i	$0.0884048\pi$
$401$	20.3251	+	25.4869i	1.01499	+	1.27275i	0.0533070	+	0.998578i	$0.483024\pi$
$402$	−13.5036	+	6.50301i	−0.673501	+	0.324341i
$403$	−4.69175	+	5.88327i	−0.233713	+	0.293066i
$404$	−0.270885	+	1.18682i	−0.0134770	+	0.0590466i
$405$	20.5028	−	25.7097i	1.01879	−	1.27753i
$406$	30.2316	+	8.21753i	1.50037	+	0.407829i
$407$	25.1037	+	31.4791i	1.24435	+	1.56036i
$408$	33.3645	−	16.0675i	1.65179	−	0.795461i
$409$	−0.632655	+	2.77184i	−0.0312828	+	0.137059i	−0.988158	−	0.153441i	$-0.950964\pi$
$409$	−0.632655	+	2.77184i	−0.0312828	+	0.137059i	0.956875	+	0.290500i	$0.0938216\pi$
$410$	21.9738			1.08521
$411$	−10.6894			−0.527267
$412$	0.0304601	−	0.133455i	0.00150066	−	0.00657484i
$413$	4.36653	−	8.19023i	0.214863	−	0.403015i
$414$	0.863896	+	3.78497i	0.0424582	+	0.186021i
$415$	−1.44399	−	6.32654i	−0.0708827	−	0.310557i
$416$	−0.843885	−	1.05820i	−0.0413749	−	0.0518824i
$417$	18.0741	+	22.6642i	0.885094	+	1.10987i
$418$	6.88711	+	30.1744i	0.336860	+	1.47588i
$419$	5.10024	+	22.3456i	0.249163	+	1.09165i	0.932391	+	0.361450i	$0.117718\pi$
$419$	5.10024	+	22.3456i	0.249163	+	1.09165i	−0.683228	+	0.730205i	$0.739425\pi$
$420$	0.156825	−	3.82219i	0.00765227	−	0.186504i
$421$	−2.58131	+	11.3095i	−0.125806	+	0.551190i	0.872261	+	0.489040i	$0.162653\pi$
$421$	−2.58131	+	11.3095i	−0.125806	+	0.551190i	−0.998067	+	0.0621500i	$0.980204\pi$
$422$	10.0255			0.488036
$423$	0.501699			0.0243934
$424$	6.17815	−	27.0683i	0.300038	−	1.31455i
$425$	−36.7835	+	17.7140i	−1.78426	+	0.859255i
$426$	−11.8693	−	14.8836i	−0.575068	−	0.721112i
$427$	−5.98394	−	13.8514i	−0.289583	−	0.670318i
$428$	−1.49521	+	1.87493i	−0.0722736	+	0.0906283i
$429$	1.88987	−	8.28004i	0.0912436	−	0.399764i
$430$	23.8467	−	29.9028i	1.14999	−	1.44204i
$431$	9.70981	−	4.67600i	0.467705	−	0.225235i	−0.185161	−	0.982708i	$-0.559281\pi$
$431$	9.70981	−	4.67600i	0.467705	−	0.225235i	0.652866	+	0.757473i	$0.273566\pi$
$432$	12.9925	+	16.2920i	0.625101	+	0.783851i
$433$	18.3599	+	8.84166i	0.882321	+	0.424903i	0.819472	−	0.573120i	$-0.194267\pi$
$433$	18.3599	+	8.84166i	0.882321	+	0.424903i	0.0628491	+	0.998023i	$0.479981\pi$
$434$	1.22170	−	29.7758i	0.0586436	−	1.42928i
$435$	−42.8453	+	20.6332i	−2.05428	+	0.989287i
$436$	1.24977	+	0.601857i	0.0598531	+	0.0288237i
$437$	5.55312	+	24.3298i	0.265642	+	1.16385i
$438$	−11.6425	−	5.60672i	−0.556298	−	0.267899i
$439$	−17.2897	+	21.6806i	−0.825193	+	1.03476i	0.173559	+	0.984823i	$0.444473\pi$
$439$	−17.2897	+	21.6806i	−0.825193	+	1.03476i	−0.998752	+	0.0499362i	$0.984098\pi$
$440$	−38.7333			−1.84654
$441$	3.08065	−	1.18349i	0.146698	−	0.0563567i
$442$	11.2963			0.537309
$443$	7.32561	−	9.18603i	0.348050	−	0.436441i	−0.576735	−	0.816932i	$-0.695673\pi$
$443$	7.32561	−	9.18603i	0.348050	−	0.436441i	0.924785	+	0.380490i	$0.124245\pi$
$444$	3.56633	+	1.71745i	0.169250	+	0.0815067i
$445$	9.64894	+	42.2748i	0.457404	+	2.00402i
$446$	−22.6320	−	10.8990i	−1.07165	−	0.516082i
$447$	15.9593	−	7.68561i	0.754851	−	0.363517i
$448$	−17.4133	−	4.73328i	−0.822703	−	0.223626i
$449$	−7.56238	−	3.64185i	−0.356891	−	0.171870i	0.246843	−	0.969055i	$-0.420607\pi$
$449$	−7.56238	−	3.64185i	−0.356891	−	0.171870i	−0.603734	+	0.797186i	$0.706321\pi$
$450$	2.38025	+	2.98474i	0.112206	+	0.140702i
$451$	−18.6863	+	8.99887i	−0.879906	+	0.423740i
$452$	0.489157	−	0.613383i	0.0230080	−	0.0288511i
$453$	−6.72903	+	29.4818i	−0.316157	+	1.38518i
$454$	23.6657	−	29.6759i	1.11069	−	1.39276i
$455$	−4.01595	+	7.53265i	−0.188271	+	0.353136i
$456$	−13.8781	−	17.4026i	−0.649903	−	0.814953i
$457$	18.1235	−	8.72783i	0.847783	−	0.408271i	0.0410288	−	0.999158i	$-0.486936\pi$
$457$	18.1235	−	8.72783i	0.847783	−	0.408271i	0.806754	+	0.590887i	$0.201222\pi$
$458$	−7.43692	+	32.5833i	−0.347505	+	1.52252i
$459$	−35.5540			−1.65952
$460$	4.26925			0.199055
$461$	2.23198	−	9.77895i	0.103954	−	0.455451i	−0.895982	−	0.444091i	$-0.853527\pi$
$461$	2.23198	−	9.77895i	0.103954	−	0.455451i	0.999935	−	0.0113603i	$-0.00361617\pi$
$462$	13.3388	+	30.8763i	0.620579	+	1.43650i
$463$	−2.25534	−	9.88127i	−0.104814	−	0.459222i	−0.999911	−	0.0133493i	$-0.995751\pi$
$463$	−2.25534	−	9.88127i	−0.104814	−	0.459222i	0.895097	−	0.445872i	$-0.147106\pi$
$464$	−7.78616	−	34.1134i	−0.361463	−	1.58367i
$465$	28.2041	+	35.3668i	1.30793	+	1.64009i
$466$	6.18761	+	7.75901i	0.286635	+	0.359429i
$467$	−4.04568	−	17.7253i	−0.187212	−	0.820229i	−0.978078	−	0.208240i	$-0.933227\pi$
$467$	−4.04568	−	17.7253i	−0.187212	−	0.820229i	0.790866	−	0.611989i	$-0.209631\pi$
$468$	−0.0252325	−	0.110551i	−0.00116637	−	0.00511020i
$469$	−11.4707	+	8.40204i	−0.529669	+	0.387970i
$470$	1.14360	−	5.01042i	0.0527501	−	0.231113i
$471$	−29.8236			−1.37420
$472$	−9.23908			−0.425263
$473$	−8.03301	+	35.1949i	−0.369358	+	1.61826i
$474$	25.8150	−	12.4319i	1.18572	−	0.571014i
$475$	15.3003	+	19.1859i	0.702024	+	0.880310i
$476$	−3.87429	+	2.83783i	−0.177578	+	0.130072i
$477$	3.09881	−	3.88579i	0.141885	−	0.177918i
$478$	−3.66383	+	16.0523i	−0.167580	+	0.734215i
$479$	8.04077	−	10.0828i	0.367392	−	0.460695i	−0.563432	−	0.826162i	$-0.690519\pi$
$479$	8.04077	−	10.0828i	0.367392	−	0.460695i	0.930824	+	0.365467i	$0.119091\pi$
$480$	−7.33062	+	3.53024i	−0.334595	+	0.161133i
$481$	−5.50724	−	6.90586i	−0.251108	−	0.314880i
$482$	−23.7330	−	11.4292i	−1.08101	−	0.520586i
$483$	10.7552	+	24.8958i	0.489378	+	1.13280i
$484$	−2.11896	+	1.02044i	−0.0963163	+	0.0463835i
$485$	−0.779416	−	0.375347i	−0.0353914	−	0.0170436i
$486$	1.61752	+	7.08681i	0.0733721	+	0.321464i
$487$	−25.7302	−	12.3910i	−1.16595	−	0.561490i	−0.252160	−	0.967685i	$-0.581141\pi$
$487$	−25.7302	−	12.3910i	−1.16595	−	0.561490i	−0.913786	+	0.406195i	$0.866855\pi$
$488$	−9.36465	+	11.7429i	−0.423918	+	0.531576i
$489$	−27.0170			−1.22175
$490$	−4.79723	−	33.4639i	−0.216717	−	1.51175i
$491$	5.75537			0.259736			0.129868	−	0.991531i	$-0.458545\pi$
$491$	5.75537			0.259736			0.129868	+	0.991531i	$0.458545\pi$
$492$	−1.27130	+	1.59415i	−0.0573145	+	0.0718701i
$493$	53.7883	+	25.9031i	2.42250	+	1.16662i
$494$	−1.51089	−	6.61964i	−0.0679781	−	0.297832i
$495$	−6.24702	−	3.00840i	−0.280783	−	0.135218i
$496$	−29.9882	+	14.4416i	−1.34651	+	0.648445i
$497$	−13.6462	−	11.8295i	−0.612118	−	0.530625i
$498$	5.05373	+	2.43375i	0.226463	+	0.109059i
$499$	1.90014	+	2.38270i	0.0850619	+	0.106664i	0.822541	−	0.568705i	$-0.192556\pi$
$499$	1.90014	+	2.38270i	0.0850619	+	0.106664i	−0.737479	+	0.675370i	$0.763984\pi$
$500$	0.286528	−	0.137984i	0.0128139	−	0.00617085i
$501$	−5.90538	+	7.40511i	−0.263833	+	0.330836i
$502$	5.63785	−	24.7010i	0.251629	−	1.10246i
$503$	−11.8095	+	14.8087i	−0.526560	+	0.660285i	−0.971987	−	0.235033i	$-0.924480\pi$
$503$	−11.8095	+	14.8087i	−0.526560	+	0.660285i	0.445427	+	0.895318i	$0.353052\pi$
$504$	−2.48225	−	2.15178i	−0.110568	−	0.0958478i
$505$	−10.1815	−	12.7672i	−0.453071	−	0.568134i
$506$	−33.8195	+	16.2866i	−1.50346	+	0.724029i
$507$	−0.414597	+	1.81647i	−0.0184129	+	0.0806722i
$508$	−2.44851			−0.108635
$509$	22.7019			1.00624			0.503122	−	0.864215i	$-0.332185\pi$
$509$	22.7019			1.00624			0.503122	+	0.864215i	$0.332185\pi$
$510$	15.1107	−	66.2041i	0.669111	−	2.93157i
$511$	−11.8297	−	3.21555i	−0.523317	−	0.142248i
$512$	3.85219	+	16.8775i	0.170244	+	0.745889i
$513$	4.75538	+	20.8347i	0.209955	+	0.919873i
$514$	7.72256	+	9.68378i	0.340627	+	0.427133i
$515$	1.14488	+	1.43563i	0.0504495	+	0.0632616i
$516$	0.789734	+	3.46005i	0.0347661	+	0.152320i
$517$	1.07940	+	4.72915i	0.0474718	+	0.207988i
$518$	33.7558	+	9.17548i	1.48315	+	0.403147i
$519$	4.39825	−	19.2700i	0.193062	−	0.845859i
$520$	8.49728			0.372631
$521$	18.8302			0.824964			0.412482	−	0.910966i	$-0.364662\pi$
$521$	18.8302			0.824964			0.412482	+	0.910966i	$0.364662\pi$
$522$	1.24222	−	5.44253i	0.0543705	−	0.238213i
$523$	−4.74340	+	2.28430i	−0.207414	+	0.0998854i	−0.534707	−	0.845038i	$-0.679578\pi$
$523$	−4.74340	+	2.28430i	−0.207414	+	0.0998854i	0.327293	+	0.944923i	$0.393864\pi$
$524$	−0.000242356	0	0.000303905i	−1.05874e−5	0	1.32762e-5i
$525$	20.1505	+	17.4678i	0.879441	+	0.762359i
$526$	5.61589	−	7.04210i	0.244864	−	0.307050i
$527$	12.6368	−	55.3655i	0.550468	−	2.41176i
$528$	23.4221	−	29.3703i	1.01931	−	1.27818i
$529$	−6.54662	+	3.15269i	−0.284636	+	0.137073i
$530$	−31.7435	−	39.8050i	−1.37885	−	1.72902i
$531$	−1.49010	−	0.717596i	−0.0646650	−	0.0311410i
$532$	2.18116	+	1.89078i	0.0945654	+	0.0819757i
$533$	4.09940	−	1.97417i	0.177565	−	0.0855106i
$534$	−33.7697	−	16.2626i	−1.46136	−	0.703753i
$535$	−7.15835	−	31.3628i	−0.309483	−	1.35593i
$536$	12.7520	+	6.14106i	0.550804	+	0.265253i
$537$	3.68966	−	4.62669i	0.159221	−	0.199656i
$538$	−19.7338			−0.850783
$539$	17.7839	+	26.4928i	0.766006	+	1.14113i
$540$	3.65595			0.157327
$541$	−27.4460	+	34.4162i	−1.18000	+	1.47967i	−0.337201	+	0.941433i	$0.609480\pi$
$541$	−27.4460	+	34.4162i	−1.18000	+	1.47967i	−0.842795	+	0.538235i	$0.819091\pi$
$542$	−22.3674	−	10.7716i	−0.960764	−	0.462680i
$543$	1.18478	+	5.19088i	0.0508439	+	0.222762i
$544$	9.20290	+	4.43188i	0.394571	+	0.190015i
$545$	−16.7648	+	8.07352i	−0.718127	+	0.345832i
$546$	−2.92626	−	6.77362i	−0.125232	−	0.289884i
$547$	40.0742	+	19.2987i	1.71345	+	0.825153i	0.991021	+	0.133706i	$0.0426877\pi$
$547$	40.0742	+	19.2987i	1.71345	+	0.825153i	0.722427	+	0.691447i	$0.243027\pi$
$548$	−0.860354	−	1.07885i	−0.0367525	−	0.0460862i
$549$	−2.42243	+	1.16658i	−0.103387	+	0.0497884i
$550$	−23.0139	+	28.8585i	−0.981316	+	1.23053i
$551$	7.98500	−	34.9846i	0.340172	−	1.49039i
$552$	16.8315	−	21.1060i	0.716396	−	0.898332i
$553$	21.9287	−	16.0622i	0.932502	−	0.683036i
$554$	−21.1318	−	26.4984i	−0.897804	−	1.12581i
$555$	−47.8400	+	23.0385i	−2.03069	+	0.977931i
$556$	−0.832713	+	3.64835i	−0.0353149	+	0.154725i
$557$	2.64641			0.112132			0.0560661	−	0.998427i	$-0.482144\pi$
$557$	2.64641			0.112132			0.0560661	+	0.998427i	$0.482144\pi$
$558$	−5.31027			−0.224802
$559$	1.76228	−	7.72103i	0.0745363	−	0.326565i
$560$	−30.4605	+	22.3116i	−1.28719	+	0.942836i
$561$	14.2624	+	62.4876i	0.602158	+	2.63823i
$562$	3.68740	+	16.1556i	0.155544	+	0.681481i
$563$	−14.4957	−	18.1771i	−0.610923	−	0.766073i	0.376113	−	0.926574i	$-0.377260\pi$
$563$	−14.4957	−	18.1771i	−0.610923	−	0.766073i	−0.987036	+	0.160501i	$0.948689\pi$
$564$	0.297333	+	0.372843i	0.0125200	+	0.0156995i
$565$	2.34185	+	10.2603i	0.0985224	+	0.431655i
$566$	5.64025	+	24.7115i	0.237077	+	1.03870i
$567$	10.6942	+	24.7545i	0.449112	+	1.03959i
$568$	−4.00031	+	17.5265i	−0.167849	+	0.735396i
$569$	−16.2320			−0.680479			−0.340240	−	0.940339i	$-0.610508\pi$
$569$	−16.2320			−0.680479			−0.340240	+	0.940339i	$0.610508\pi$
$570$	−40.8168			−1.70963
$571$	−5.66299	+	24.8112i	−0.236989	+	1.03832i	0.706709	+	0.707505i	$0.250179\pi$
$571$	−5.66299	+	24.8112i	−0.236989	+	1.03832i	−0.943697	+	0.330810i	$0.892678\pi$
$572$	0.987793	−	0.475696i	0.0413017	−	0.0198898i
$573$	12.9514	+	16.2406i	0.541053	+	0.678459i
$574$	−8.47718	+	15.9005i	−0.353831	+	0.663674i
$575$	−18.5563	+	23.2688i	−0.773849	+	0.970376i
$576$	−0.715517	+	3.13488i	−0.0298132	+	0.130620i
$577$	−6.39113	+	8.01423i	−0.266066	+	0.333637i	−0.896860	−	0.442314i	$-0.854158\pi$
$577$	−6.39113	+	8.01423i	−0.266066	+	0.333637i	0.630794	+	0.775950i	$0.282729\pi$
$578$	−53.8818	+	25.9481i	−2.24119	+	1.07930i
$579$	−22.2899	−	27.9507i	−0.926338	−	1.16159i
$580$	−5.53095	−	2.66356i	−0.229660	−	0.110598i
$581$	5.13502	+	1.39580i	0.213036	+	0.0579074i
$582$	0.673717	−	0.324445i	0.0279265	−	0.0134487i
$583$	43.2955	+	20.8500i	1.79312	+	0.863520i
$584$	2.71541	+	11.8970i	0.112364	+	0.492300i
$585$	1.37047	+	0.659982i	0.0566618	+	0.0272869i
$586$	23.2627	−	29.1705i	0.960973	−	1.20502i
$587$	20.8509			0.860610			0.430305	−	0.902684i	$-0.358406\pi$
$587$	20.8509			0.860610			0.430305	+	0.902684i	$0.358406\pi$
$588$	2.70528	+	1.58802i	0.111564	+	0.0654890i
$589$	−34.1344			−1.40648
$590$	−10.5632	+	13.2458i	−0.434880	+	0.545322i
$591$	−7.97907	−	3.84252i	−0.328215	−	0.158060i
$592$	−8.69383	−	38.0901i	−0.357314	−	1.56550i
$593$	−30.8544	−	14.8587i	−1.26704	−	0.610174i	−0.325012	−	0.945710i	$-0.605368\pi$
$593$	−30.8544	−	14.8587i	−1.26704	−	0.610174i	−0.942028	+	0.335536i	$0.891083\pi$
$594$	−28.9611	+	13.9469i	−1.18829	+	0.572250i
$595$	2.64100	−	64.3675i	0.108271	−	2.63881i
$596$	2.06021	+	0.992144i	0.0843894	+	0.0406398i
$597$	−24.9832	−	31.3279i	−1.02249	−	1.28217i
$598$	7.41930	−	3.57295i	0.303398	−	0.146109i
$599$	7.73203	−	9.69566i	0.315922	−	0.396154i	−0.598363	−	0.801225i	$-0.704182\pi$
$599$	7.73203	−	9.69566i	0.315922	−	0.396154i	0.914285	+	0.405071i	$0.132753\pi$
$600$	5.90700	−	25.8803i	0.241152	−	1.05656i
$601$	1.78693	−	2.24074i	0.0728905	−	0.0914018i	−0.744049	−	0.668125i	$-0.767097\pi$
$601$	1.78693	−	2.24074i	0.0728905	−	0.0914018i	0.816940	+	0.576723i	$0.195669\pi$
$602$	12.4383	+	28.7918i	0.506947	+	1.17347i
$603$	1.57971	+	1.98089i	0.0643308	+	0.0806683i
$604$	−3.51712	+	1.69376i	−0.143110	+	0.0689180i
$605$	7.02026	−	30.7578i	0.285414	−	1.25048i
$606$	14.1153			0.573397
$607$	3.43867			0.139571			0.0697856	−	0.997562i	$-0.477768\pi$
$607$	3.43867			0.139571			0.0697856	+	0.997562i	$0.477768\pi$
$608$	1.36619	−	5.98568i	0.0554065	−	0.242752i
$609$	1.59867	−	38.9633i	0.0647813	−	1.57887i
$610$	6.12873	+	26.8517i	0.248145	+	1.08719i
$611$	−0.236797	−	1.03748i	−0.00957979	−	0.0419718i
$612$	0.533555	+	0.669057i	0.0215677	+	0.0270450i
$613$	0.957815	+	1.20106i	0.0386858	+	0.0485104i	0.800798	−	0.598934i	$-0.204409\pi$
$613$	0.957815	+	1.20106i	0.0386858	+	0.0485104i	−0.762112	+	0.647445i	$0.775838\pi$
$614$	−1.83890	−	8.05677i	−0.0742121	−	0.325145i
$615$	−6.08636	−	26.6661i	−0.245426	−	1.07528i
$616$	14.9427	−	28.0278i	0.602060	−	1.12927i
$617$	5.10760	−	22.3779i	0.205624	−	0.900899i	−0.761815	−	0.647795i	$-0.775691\pi$
$617$	5.10760	−	22.3779i	0.205624	−	0.900899i	0.967439	−	0.253104i	$-0.0814514\pi$
$618$	−1.58723			−0.0638477
$619$	11.5948			0.466035			0.233018	−	0.972472i	$-0.425140\pi$
$619$	11.5948			0.466035			0.233018	+	0.972472i	$0.425140\pi$
$620$	−1.29942	+	5.69313i	−0.0521859	+	0.228641i
$621$	−23.3515	+	11.2455i	−0.937065	+	0.451267i
$622$	−7.98710	−	10.0155i	−0.320253	−	0.401585i
$623$	−34.3129	−	9.32690i	−1.37472	−	0.373674i
$624$	−5.13831	+	6.44324i	−0.205697	+	0.257936i
$625$	5.06969	−	22.2118i	0.202788	−	0.888471i
$626$	4.07487	−	5.10973i	0.162865	−	0.204226i
$627$	34.7102	−	16.7156i	1.38619	−	0.667555i
$628$	−2.40041	−	3.01002i	−0.0957867	−	0.120113i
$629$	60.0586	+	28.9227i	2.39469	+	1.15322i
$630$	−5.92294	+	1.09857i	−0.235976	+	0.0437679i
$631$	−16.5073	+	7.94952i	−0.657147	+	0.316465i	−0.732575	−	0.680686i	$-0.761682\pi$
$631$	−16.5073	+	7.94952i	−0.657147	+	0.316465i	0.0754284	+	0.997151i	$0.475968\pi$
$632$	−24.3782	−	11.7399i	−0.969712	−	0.466989i
$633$	−2.77690	−	12.1664i	−0.110372	−	0.483570i
$634$	−31.3348	−	15.0900i	−1.24446	−	0.599302i
$635$	20.4787	−	25.6794i	0.812671	−	1.01906i
$636$	4.72429			0.187330
$637$	−3.90141	−	5.81197i	−0.154580	−	0.230279i
$638$	53.9754			2.13690
$639$	−2.00646	+	2.51602i	−0.0793744	+	0.0995323i
$640$	37.5458	+	18.0811i	1.48413	+	0.714718i
$641$	6.12179	+	26.8213i	0.241796	+	1.05938i	0.939381	+	0.342876i	$0.111401\pi$
$641$	6.12179	+	26.8213i	0.241796	+	1.05938i	−0.697584	+	0.716503i	$0.745742\pi$
$642$	25.0530	+	12.0649i	0.988765	+	0.476164i
$643$	−15.7110	+	7.56601i	−0.619581	+	0.298374i	−0.717219	−	0.696847i	$-0.754585\pi$
$643$	−15.7110	+	7.56601i	−0.619581	+	0.298374i	0.0976384	+	0.995222i	$0.468871\pi$
$644$	−1.64701	+	3.08928i	−0.0649015	+	0.121735i
$645$	−42.8933	−	20.6563i	−1.68892	−	0.813342i
$646$	31.9486	+	40.0623i	1.25700	+	1.57623i
$647$	−4.95954	+	2.38839i	−0.194979	+	0.0938972i	−0.528826	−	0.848730i	$-0.677368\pi$
$647$	−4.95954	+	2.38839i	−0.194979	+	0.0938972i	0.333846	+	0.942627i	$0.391653\pi$
$648$	16.7360	−	20.9863i	0.657451	−	0.824418i
$649$	3.55832	−	15.5900i	0.139676	−	0.611962i
$650$	5.04877	−	6.33096i	0.198029	−	0.248321i
$651$	−36.4725	+	6.76479i	−1.42947	+	0.265133i
$652$	−2.17452	−	2.72676i	−0.0851608	−	0.106788i
$653$	−2.98942	+	1.43963i	−0.116985	+	0.0563370i	−0.491461	−	0.870900i	$-0.663537\pi$
$653$	−2.98942	+	1.43963i	−0.116985	+	0.0563370i	0.374476	+	0.927237i	$0.377823\pi$
$654$	3.57906	−	15.6809i	0.139952	−	0.613171i
$655$	0.00521429			0.000203739
$656$	20.1255			0.785767
$657$	−0.486086	+	2.12968i	−0.0189640	+	0.0830868i
$658$	3.18441	+	2.76046i	0.124141	+	0.107614i
$659$	5.04476	+	22.1025i	0.196516	+	0.860993i	0.972991	+	0.230844i	$0.0741488\pi$
$659$	5.04476	+	22.1025i	0.196516	+	0.860993i	−0.776475	+	0.630148i	$0.782994\pi$
$660$	−1.46657	−	6.42548i	−0.0570863	−	0.250111i
$661$	4.08167	+	5.11826i	0.158759	+	0.199077i	0.854849	−	0.518878i	$-0.173650\pi$
$661$	4.08167	+	5.11826i	0.158759	+	0.199077i	−0.696090	+	0.717955i	$0.745079\pi$
$662$	8.12353	+	10.1866i	0.315730	+	0.395913i
$663$	−3.12887	−	13.7085i	−0.121515	−	0.532393i
$664$	−1.17870	−	5.16420i	−0.0457423	−	0.200410i
$665$	−38.0727	+	7.06158i	−1.47639	+	0.273836i
$666$	1.38703	−	6.07699i	0.0537464	−	0.235478i
$667$	43.5207			1.68513
$668$	−1.22269			−0.0473071
$669$	−6.95768	+	30.4836i	−0.269000	+	1.17856i
$670$	23.3839	−	11.2611i	0.903399	−	0.435054i
$671$	−16.2083	−	20.3246i	−0.625714	−	0.784621i
$672$	0.273524	−	6.66643i	0.0105514	−	0.257163i
$673$	−22.2566	+	27.9089i	−0.857928	+	1.07581i	0.138416	+	0.990374i	$0.455799\pi$
$673$	−22.2566	+	27.9089i	−0.857928	+	1.07581i	−0.996344	+	0.0854330i	$0.972773\pi$
$674$	−11.7937	+	51.6716i	−0.454276	+	1.99031i
$675$	−15.8905	+	19.9261i	−0.611627	+	0.766956i
$676$	−0.216701	+	0.104358i	−0.00833466	+	0.00401376i
$677$	12.9661	+	16.2589i	0.498327	+	0.624882i	0.965851	−	0.259098i	$-0.0834254\pi$
$677$	12.9661	+	16.2589i	0.498327	+	0.624882i	−0.467524	+	0.883980i	$0.654854\pi$
$678$	−8.19609	−	3.94703i	−0.314769	−	0.151585i
$679$	0.572292	−	0.419190i	0.0219626	−	0.0160871i
$680$	−57.7765	+	27.8237i	−2.21563	+	1.06699i
$681$	−42.5678	−	20.4996i	−1.63120	−	0.785545i
$682$	−11.4250	−	50.0561i	−0.437485	−	1.91675i
$683$	−25.1335	−	12.1037i	−0.961707	−	0.463134i	−0.113931	−	0.993489i	$-0.536344\pi$
$683$	−25.1335	−	12.1037i	−0.961707	−	0.463134i	−0.847776	+	0.530355i	$0.822059\pi$
$684$	0.320705	−	0.402151i	0.0122625	−	0.0153766i
$685$	18.5105			0.707249
$686$	26.0655	+	9.43855i	0.995187	+	0.360365i
$687$	41.6010			1.58718
$688$	21.8408	−	27.3875i	0.832672	−	1.04414i
$689$	−9.49815	−	4.57407i	−0.361851	−	0.174258i
$690$	−11.0154	−	48.2617i	−0.419350	−	1.83729i
$691$	−13.7398	−	6.61674i	−0.522687	−	0.251713i	0.153886	−	0.988089i	$-0.450821\pi$
$691$	−13.7398	−	6.61674i	−0.522687	−	0.251713i	−0.676573	+	0.736376i	$0.736535\pi$
$692$	2.29887	−	1.10708i	0.0873901	−	0.0420849i
$693$	4.58692	−	3.35981i	0.174243	−	0.127629i
$694$	−34.8607	−	16.7880i	−1.32329	−	0.637265i
$695$	−31.2985	−	39.2471i	−1.18722	−	1.48873i
$696$	−34.9736	+	16.8424i	−1.32567	+	0.638410i
$697$	−21.4092	+	26.8463i	−0.810932	+	1.01688i
$698$	2.61438	−	11.4543i	0.0989558	−	0.433554i
$699$	7.70201	−	9.65801i	0.291317	−	0.365300i
$700$	−0.141130	+	3.43968i	−0.00533422	+	0.130008i
$701$	−2.35651	−	2.95496i	−0.0890040	−	0.111607i	0.735335	−	0.677703i	$-0.237025\pi$
$701$	−2.35651	−	2.95496i	−0.0890040	−	0.111607i	−0.824339	+	0.566096i	$0.808453\pi$
$702$	6.35347	−	3.05967i	0.239796	−	0.115480i
$703$	8.91585	−	39.0629i	0.336268	−	1.47328i
$704$	−31.0897			−1.17174
$705$	−6.39710			−0.240929
$706$	−5.38944	+	23.6127i	−0.202834	+	0.888675i
$707$	13.1664	−	2.44205i	0.495172	−	0.0918428i
$708$	−0.349823	−	1.53267i	−0.0131471	−	0.0576014i
$709$	−0.743857	−	3.25905i	−0.0279362	−	0.122396i	0.959037	−	0.283280i	$-0.0914227\pi$
$709$	−0.743857	−	3.25905i	−0.0279362	−	0.122396i	−0.986973	+	0.160884i	$0.948566\pi$
$710$	20.5537	+	25.7735i	0.771366	+	0.967262i
$711$	−3.01995	−	3.78689i	−0.113257	−	0.142020i
$712$	7.87620	+	34.5079i	0.295173	+	1.29324i
$713$	−9.21202	−	40.3605i	−0.344993	−	1.51151i
$714$	42.0765	+	36.4748i	1.57468	+	1.36504i
$715$	−3.27263	+	14.3383i	−0.122389	+	0.536223i
$716$	0.763929			0.0285494
$717$	20.4949			0.765396
$718$	10.2746	−	45.0158i	0.383444	−	1.67998i
$719$	−37.1056	+	17.8691i	−1.38380	+	0.666405i	−0.969807	−	0.243873i	$-0.921582\pi$
$719$	−37.1056	+	17.8691i	−1.38380	+	0.666405i	−0.413997	+	0.910278i	$0.635868\pi$
$720$	4.19492	+	5.26026i	0.156335	+	0.196038i
$721$	−1.48052	+	0.274601i	−0.0551374	+	0.0102267i
$722$	1.47143	−	1.84512i	0.0547610	−	0.0686682i
$723$	−7.29616	+	31.9666i	−0.271347	+	1.18885i
$724$	−0.428542	+	0.537375i	−0.0159266	+	0.0199714i
$725$	38.5575	−	18.5683i	1.43199	−	0.689609i
$726$	17.0028	+	21.3208i	0.631033	+	0.791290i
$727$	−29.5961	−	14.2527i	−1.09766	−	0.528605i	−0.204738	−	0.978817i	$-0.565634\pi$
$727$	−29.5961	−	14.2527i	−1.09766	−	0.528605i	−0.892922	+	0.450212i	$0.851348\pi$
$728$	−3.27813	+	6.14873i	−0.121495	+	0.227887i
$729$	−19.3962	+	9.34070i	−0.718377	+	0.345952i
$730$	20.1609	+	9.70900i	0.746190	+	0.359346i
$731$	13.2995	+	58.2689i	0.491899	+	2.15515i
$732$	−2.30261	−	1.10888i	−0.0851070	−	0.0409854i
$733$	−19.0900	+	23.9381i	−0.705104	+	0.884173i	−0.997393	−	0.0721574i	$-0.977012\pi$
$733$	−19.0900	+	23.9381i	−0.705104	+	0.884173i	0.292289	+	0.956330i	$0.405583\pi$
$734$	−23.2525			−0.858265
$735$	−39.2810	+	15.0905i	−1.44890	+	0.556623i
$736$	7.44617			0.274469
$737$	−15.2737	+	19.1526i	−0.562615	+	0.705497i
$738$	2.89289	+	1.39314i	0.106489	+	0.0512822i
$739$	4.45587	+	19.5224i	0.163912	+	0.718144i	0.988351	+	0.152193i	$0.0486336\pi$
$739$	4.45587	+	19.5224i	0.163912	+	0.718144i	−0.824439	+	0.565951i	$0.808509\pi$
$740$	−6.17572	−	2.97407i	−0.227024	−	0.109329i
$741$	−7.61470	+	3.66705i	−0.279733	+	0.134712i
$742$	41.0495	−	7.61372i	1.50697	−	0.279508i
$743$	0.328203	+	0.158054i	0.0120406	+	0.00579845i	0.439894	−	0.898050i	$-0.355016\pi$
$743$	0.328203	+	0.158054i	0.0120406	+	0.00579845i	−0.427854	+	0.903848i	$0.640730\pi$
$744$	23.0223	+	28.8691i	0.844039	+	1.05839i
$745$	−27.6364	+	13.3090i	−1.01252	+	0.487603i
$746$	27.5149	−	34.5026i	1.00739	−	1.26323i
$747$	0.210999	−	0.924446i	0.00772004	−	0.0338237i
$748$	−5.15878	+	6.46890i	−0.188624	+	0.236526i
$749$	25.4560	+	6.91944i	0.930143	+	0.252831i
$750$	−2.29914	−	2.88302i	−0.0839525	−	0.105273i
$751$	−24.6173	+	11.8551i	−0.898299	+	0.432598i	−0.825274	−	0.564732i	$-0.808979\pi$
$751$	−24.6173	+	11.8551i	−0.898299	+	0.432598i	−0.0730246	+	0.997330i	$0.523265\pi$
$752$	1.04740	−	4.58896i	0.0381947	−	0.167342i
$753$	−31.5372			−1.14928
$754$	−11.8411			−0.431226
$755$	11.6525	−	51.0528i	0.424077	−	1.85800i
$756$	−1.41041	+	2.64548i	−0.0512961	+	0.0962153i
$757$	−8.87477	−	38.8829i	−0.322559	−	1.41322i	−0.832982	−	0.553300i	$-0.813368\pi$
$757$	−8.87477	−	38.8829i	−0.322559	−	1.41322i	0.510423	−	0.859923i	$-0.329489\pi$
$758$	−11.2609	−	49.3374i	−0.409016	−	1.79202i
$759$	29.1319	+	36.5302i	1.05742	+	1.32596i
$760$	24.0324	+	30.1357i	0.871746	+	1.09314i
$761$	−0.710669	−	3.11364i	−0.0257617	−	0.112870i	0.960412	−	0.278583i	$-0.0898646\pi$
$761$	−0.710669	−	3.11364i	−0.0257617	−	0.112870i	−0.986174	+	0.165713i	$0.947007\pi$
$762$	6.31759	+	27.6792i	0.228862	+	1.00271i
$763$	0.625539	−	15.2459i	0.0226460	−	0.551937i
$764$	−0.596698	+	2.61431i	−0.0215878	+	0.0945823i
$765$	−11.4794			−0.415039
$766$	30.8485			1.11460
$767$	−0.780622	+	3.42013i	−0.0281866	+	0.123494i
$768$	−9.55558	+	4.60172i	−0.344807	+	0.166050i
$769$	−24.1257	−	30.2527i	−0.869995	−	1.09094i	−0.995108	−	0.0987967i	$-0.968501\pi$
$769$	−24.1257	−	30.2527i	−0.869995	−	1.09094i	0.125113	−	0.992143i	$-0.460071\pi$
$770$	−23.0985	−	53.4677i	−0.832412	−	1.92684i
$771$	9.61263	−	12.0539i	0.346190	−	0.434109i
$772$	1.02694	−	4.49933i	0.0369605	−	0.161934i
$773$	−0.404479	+	0.507201i	−0.0145481	+	0.0182428i	−0.789052	−	0.614326i	$-0.789428\pi$
$773$	−0.404479	+	0.507201i	−0.0145481	+	0.0182428i	0.774504	+	0.632569i	$0.217999\pi$
$774$	5.03529	−	2.42487i	0.180990	−	0.0871600i
$775$	−25.3815	−	31.8274i	−0.911729	−	1.14327i
$776$	−0.636219	−	0.306387i	−0.0228389	−	0.0109986i
$777$	1.78503	−	43.5055i	0.0640377	−	1.56075i
$778$	15.1080	−	7.27562i	0.541647	−	0.260844i
$779$	18.5955	+	8.95511i	0.666252	+	0.320850i
$780$	0.321736	+	1.40962i	0.0115200	+	0.0504724i
$781$	−28.0336	−	13.5003i	−1.00312	−	0.483077i
$782$	−38.7475	+	48.5878i	−1.38561	+	1.73750i
$783$	37.2686			1.33187
$784$	−4.39370	−	30.6490i	−0.156918	−	1.09461i
$785$	51.6447			1.84328
$786$	−0.00281017	+	0.00352384i	−0.000100235	+	0.000125691i
$787$	−43.8654	−	21.1245i	−1.56363	−	0.753007i	−0.566178	−	0.824283i	$-0.691578\pi$
$787$	−43.8654	−	21.1245i	−1.56363	−	0.753007i	−0.997457	+	0.0712767i	$0.977293\pi$
$788$	−0.254396	−	1.11458i	−0.00906247	−	0.0397053i
$789$	−10.1014	−	4.86456i	−0.359618	−	0.173183i
$790$	−44.7032	+	21.5279i	−1.59047	+	0.765929i
$791$	−8.32793	−	2.26369i	−0.296107	−	0.0804875i
$792$	−5.09929	−	2.45569i	−0.181195	−	0.0872591i
$793$	3.55576	+	4.45879i	0.126269	+	0.158336i
$794$	−22.8853	+	11.0210i	−0.812170	+	0.391121i
$795$	−39.5126	+	49.5472i	−1.40137	+	1.75726i
$796$	1.15103	−	5.04298i	0.0407971	−	0.178744i
$797$	−29.1604	+	36.5660i	−1.03291	+	1.29523i	−0.0784458	+	0.996918i	$0.524996\pi$
$797$	−29.1604	+	36.5660i	−1.03291	+	1.29523i	−0.954468	+	0.298314i	$0.903576\pi$
$798$	15.7465	−	29.5355i	0.557420	−	1.04554i
$799$	5.00722	+	6.27885i	0.177143	+	0.222130i
$800$	6.59699	−	3.17694i	0.233239	−	0.112322i
$801$	−1.40992	+	6.17727i	−0.0498171	+	0.218263i
$802$	48.7953			1.72302
$803$	−21.1208			−0.745335
$804$	−0.535907	+	2.34796i	−0.0189000	+	0.0828062i
$805$	−18.6245	−	43.1113i	−0.656426	−	1.51947i
$806$	2.50640	+	10.9813i	0.0882842	+	0.386798i
$807$	5.46590	+	23.9477i	0.192409	+	0.842999i
$808$	−8.31093	−	10.4216i	−0.292378	−	0.366630i
$809$	−24.7817	−	31.0752i	−0.871277	−	1.09255i	−0.994965	−	0.100226i	$-0.968044\pi$
$809$	−24.7817	−	31.0752i	−0.871277	−	1.09255i	0.123688	−	0.992321i	$-0.460528\pi$
$810$	−10.9529	−	47.9879i	−0.384846	−	1.68612i
$811$	−12.3316	−	54.0282i	−0.433020	−	1.89719i	−0.441578	−	0.897223i	$-0.645581\pi$
$811$	−12.3316	−	54.0282i	−0.433020	−	1.89719i	0.00855749	−	0.999963i	$-0.497276\pi$
$812$	4.06114	−	2.97469i	0.142518	−	0.104391i
$813$	−6.87636	+	30.1273i	−0.241164	+	1.05661i
$814$	60.2675			2.11238
$815$	46.7847			1.63880
$816$	13.8396	−	60.6352i	0.484483	−	2.12266i
$817$	32.3668	−	15.5870i	1.13237	−	0.545322i
$818$	2.65338	+	3.32724i	0.0927733	+	0.116334i
$819$	−1.00627	+	0.737073i	−0.0351621	+	0.0257554i
$820$	2.20147	−	2.76055i	0.0768786	−	0.0964028i
$821$	−1.58634	+	6.95021i	−0.0553636	+	0.242564i	−0.995037	−	0.0995104i	$-0.968272\pi$
$821$	−1.58634	+	6.95021i	−0.0553636	+	0.242564i	0.939673	+	0.342074i	$0.111129\pi$
$822$	−9.97597	+	12.5095i	−0.347952	+	0.436318i
$823$	−0.172484	+	0.0830641i	−0.00601243	+	0.00289543i	−0.436888	−	0.899516i	$-0.643919\pi$
$823$	−0.172484	+	0.0830641i	−0.00601243	+	0.00289543i	0.430875	+	0.902412i	$0.358205\pi$
$824$	0.934539	+	1.17187i	0.0325562	+	0.0408242i
$825$	41.3954	+	19.9350i	1.44120	+	0.694046i
$826$	−5.50970	−	12.7537i	−0.191707	−	0.443757i
$827$	−19.2722	+	9.28098i	−0.670158	+	0.322731i	−0.737840	−	0.674976i	$-0.764154\pi$
$827$	−19.2722	+	9.28098i	−0.670158	+	0.322731i	0.0676815	+	0.997707i	$0.478440\pi$
$828$	0.562053	+	0.270671i	0.0195327	+	0.00940645i
$829$	0.0152623	+	0.0668684i	0.000530081	+	0.00232243i	0.975192	−	0.221360i	$-0.0710494\pi$
$829$	0.0152623	+	0.0668684i	0.000530081	+	0.00232243i	−0.974662	+	0.223682i	$0.928192\pi$
$830$	−8.75140	−	4.21445i	−0.303766	−	0.146286i
$831$	−26.3037	+	32.9839i	−0.912467	+	1.14420i
$832$	6.82043			0.236456
$833$	45.5581	+	26.7431i	1.57850	+	0.926592i
$834$	43.3913			1.50252
$835$	10.2262	−	12.8232i	0.353892	−	0.443766i
$836$	4.48078	+	2.15783i	0.154971	+	0.0746301i
$837$	−7.88866	−	34.5625i	−0.272672	−	1.19465i
$838$	30.9104	+	14.8856i	1.06778	+	0.514216i
$839$	14.3630	−	6.91688i	0.495867	−	0.238797i	−0.169198	−	0.985582i	$-0.554118\pi$
$839$	14.3630	−	6.91688i	0.495867	−	0.238797i	0.665066	+	0.746785i	$0.268404\pi$
$840$	31.6508	+	27.4371i	1.09206	+	0.946668i
$841$	−30.2542	−	14.5697i	−1.04325	−	0.502403i
$842$	10.8261	+	13.5756i	0.373094	+	0.467845i
$843$	18.5840	−	8.94960i	0.640069	−	0.308241i
$844$	1.00442	−	1.25950i	0.0345735	−	0.0433538i
$845$	0.717947	−	3.14553i	0.0246981	−	0.108210i
$846$	0.468216	−	0.587125i	0.0160976	−	0.0201858i
$847$	19.5483	+	16.9458i	0.671689	+	0.582265i
$848$	−29.0733	−	36.4567i	−0.998381	−	1.25193i
$849$	28.4262	−	13.6893i	0.975584	−	0.469816i
$850$	−13.5984	+	59.5786i	−0.466422	+	2.04353i
$851$	48.5941			1.66578
$852$	−3.05894			−0.104798
$853$	1.96773	−	8.62119i	0.0673738	−	0.295184i	−0.930004	−	0.367548i	$-0.880197\pi$
$853$	1.96773	−	8.62119i	0.0673738	−	0.295184i	0.997378	+	0.0723643i	$0.0230544\pi$
$854$	−21.7946	−	5.92418i	−0.745795	−	0.202721i
$855$	1.53538	+	6.72695i	0.0525090	+	0.230057i
$856$	−5.84319	−	25.6007i	−0.199716	−	0.875014i
$857$	10.8909	+	13.6567i	0.372025	+	0.466505i	0.932239	−	0.361843i	$-0.117852\pi$
$857$	10.8909	+	13.6567i	0.372025	+	0.466505i	−0.560214	+	0.828348i	$0.689281\pi$
$858$	−7.92618	−	9.93911i	−0.270595	−	0.339316i
$859$	−1.72365	−	7.55178i	−0.0588100	−	0.257664i	0.936973	−	0.349401i	$-0.113615\pi$
$859$	−1.72365	−	7.55178i	−0.0588100	−	0.257664i	−0.995783	+	0.0917377i	$0.970758\pi$
$860$	−1.36756	−	5.99168i	−0.0466335	−	0.204315i
$861$	21.6439	+	5.88323i	0.737622	+	0.200500i
$862$	3.58960	−	15.7271i	0.122262	−	0.535666i
$863$	16.9184			0.575908			0.287954	−	0.957644i	$-0.407025\pi$
$863$	16.9184			0.575908			0.287954	+	0.957644i	$0.407025\pi$
$864$	6.37648			0.216932
$865$	−7.61634	+	33.3693i	−0.258963	+	1.13459i
$866$	27.4818	−	13.2345i	0.933869	−	0.449728i
$867$	46.4133	+	58.2004i	1.57628	+	1.97659i
$868$	−3.61831	−	3.13660i	−0.122813	−	0.106463i
$869$	29.1989	−	36.6143i	0.990505	−	1.24205i
$870$	−15.8394	+	69.3970i	−0.537006	+	2.35278i
$871$	3.35074	−	4.20169i	0.113535	−	0.142369i
$872$	−13.6847	+	6.59022i	−0.463424	+	0.223173i
$873$	−0.0788142	−	0.0988299i	−0.00266746	−	0.00334488i
$874$	33.6551	+	16.2074i	1.13840	+	0.548224i
$875$	−2.64335	−	2.29143i	−0.0893614	−	0.0774645i
$876$	−1.87078	+	0.900919i	−0.0632077	+	0.0304392i
$877$	32.1312	+	15.4736i	1.08499	+	0.522506i	0.888910	−	0.458081i	$-0.151463\pi$
$877$	32.1312	+	15.4736i	1.08499	+	0.522506i	0.196084	+	0.980587i	$0.437177\pi$
$878$	9.23643	+	40.4674i	0.311714	+	1.36571i
$879$	−41.8429	−	20.1505i	−1.41132	−	0.679658i
$880$	−40.5593	+	50.8598i	−1.36726	+	1.71448i
$881$	14.0915			0.474754			0.237377	−	0.971418i	$-0.423712\pi$
$881$	14.0915			0.474754			0.237377	+	0.971418i	$0.423712\pi$
$882$	1.49005	−	4.70971i	0.0501725	−	0.158584i
$883$	21.8559			0.735509			0.367754	−	0.929923i	$-0.380127\pi$
$883$	21.8559			0.735509			0.367754	+	0.929923i	$0.380127\pi$
$884$	1.13173	−	1.41914i	0.0380641	−	0.0477309i
$885$	19.0001	+	9.14998i	0.638682	+	0.307573i
$886$	−3.91345	−	17.1459i	−0.131475	−	0.576029i
$887$	48.5148	+	23.3635i	1.62897	+	0.784469i	0.999975	+	0.00705819i	$0.00224671\pi$
$887$	48.5148	+	23.3635i	1.62897	+	0.784469i	0.628993	+	0.777411i	$0.283468\pi$
$888$	−39.0507	+	18.8058i	−1.31045	+	0.631082i
$889$	10.6815	+	24.7253i	0.358247	+	0.829260i
$890$	58.4780	+	28.1615i	1.96019	+	0.943977i
$891$	28.9666	+	36.3229i	0.970416	+	1.21686i
$892$	−3.63663	+	1.75131i	−0.121764	+	0.0586382i
$893$	3.00970	−	3.77404i	0.100716	−	0.126293i
$894$	5.89998	−	25.8495i	0.197325	−	0.864536i
$895$	−6.38928	+	8.01191i	−0.213570	+	0.267809i
$896$	−27.5683	+	20.1931i	−0.920991	+	0.674604i
$897$	−6.39093	−	8.01397i	−0.213387	−	0.267579i
$898$	−11.3196	+	5.45125i	−0.377742	+	0.181911i
$899$	−13.2462	+	58.0356i	−0.441787	+	1.93560i
$900$	0.613438			0.0204479
$901$	79.5592			2.65050
$902$	−6.90812	+	30.2665i	−0.230015	+	1.00776i
$903$	31.4948	−	23.0692i	1.04808	−	0.767694i
$904$	1.91160	+	8.37526i	0.0635788	+	0.278557i
$905$	−2.05166	−	8.98890i	−0.0681994	−	0.298801i
$906$	28.2218	+	35.3891i	0.937608	+	1.17572i
$907$	15.0394	+	18.8588i	0.499374	+	0.626195i	0.966088	−	0.258213i	$-0.0831336\pi$
$907$	15.0394	+	18.8588i	0.499374	+	0.626195i	−0.466714	+	0.884408i	$0.654562\pi$
$908$	−1.35718	−	5.94620i	−0.0450397	−	0.197332i
$909$	−0.530969	−	2.32633i	−0.0176111	−	0.0771595i
$910$	5.06733	+	11.7297i	0.167980	+	0.388836i
$911$	3.12205	−	13.6786i	0.103438	−	0.453192i	−0.896510	−	0.443023i	$-0.853906\pi$
$911$	3.12205	−	13.6786i	0.103438	−	0.453192i	0.999948	−	0.0101691i	$-0.00323697\pi$
$912$	−37.3834			−1.23789
$913$	9.16804			0.303418
$914$	6.70005	−	29.3549i	0.221618	−	0.970972i
$915$	30.8880	−	14.8749i	1.02113	−	0.491749i
$916$	3.34834	+	4.19868i	0.110632	+	0.138728i
$917$	−0.00201159	+	0.00377311i	−6.64287e−5	+	0.000124599i
$918$	−33.1812	+	41.6079i	−1.09514	+	1.37326i
$919$	−7.58640	+	33.2382i	−0.250252	+	1.09643i	0.681067	+	0.732221i	$0.261516\pi$
$919$	−7.58640	+	33.2382i	−0.250252	+	1.09643i	−0.931319	+	0.364205i	$0.881341\pi$
$920$	−29.1466	+	36.5487i	−0.960936	+	1.20498i
$921$	−9.26785	+	4.46316i	−0.305386	+	0.147066i
$922$	−9.36103	−	11.7384i	−0.308289	−	0.386582i
$923$	6.14999	+	2.96168i	0.202429	+	0.0974848i
$924$	5.21533	+	1.41763i	0.171572	+	0.0466365i
$925$	43.0523	−	20.7329i	1.41555	−	0.681693i
$926$	−13.6686	−	6.58246i	−0.449179	−	0.216313i
$927$	0.0597059	+	0.261589i	0.00196100	+	0.00859170i
$928$	−9.64673	−	4.64562i	−0.316670	−	0.152500i
$929$	14.3393	−	17.9809i	0.470457	−	0.589935i	−0.488826	−	0.872381i	$-0.662575\pi$
$929$	14.3393	−	17.9809i	0.470457	−	0.589935i	0.959283	+	0.282447i	$0.0911460\pi$
$930$	67.7106			2.22032
$931$	9.57803	−	30.2740i	0.313907	−	0.992192i
$932$	1.59467			0.0522351
$933$	−9.94191	+	12.4668i	−0.325484	+	0.408144i
$934$	−24.5191	−	11.8078i	−0.802291	−	0.386363i
$935$	−24.6978	−	108.208i	−0.807704	−	3.53878i
$936$	1.11868	+	0.538727i	0.0365652	+	0.0176089i
$937$	−14.9100	+	7.18026i	−0.487088	+	0.234569i	−0.661275	−	0.750143i	$-0.729984\pi$
$937$	−14.9100	+	7.18026i	−0.487088	+	0.234569i	0.174188	+	0.984713i	$0.444270\pi$
$938$	−0.872513	+	21.2652i	−0.0284886	+	0.694333i
$939$	−7.32952	−	3.52971i	−0.239190	−	0.115188i
$940$	−0.514883	−	0.645642i	−0.0167936	−	0.0210585i
$941$	−2.74205	+	1.32050i	−0.0893883	+	0.0430471i	−0.478044	−	0.878336i	$-0.658654\pi$
$941$	−2.74205	+	1.32050i	−0.0893883	+	0.0430471i	0.388655	+	0.921383i	$0.372940\pi$
$942$	−27.8332	+	34.9018i	−0.906855	+	1.13716i
$943$	−5.57006	+	24.4040i	−0.181386	+	0.794705i
$944$	−9.67464	+	12.1316i	−0.314883	+	0.394850i
$945$	−15.9489	−	36.9181i	−0.518819	−	1.20095i
$946$	33.6908	+	42.2469i	1.09538	+	1.37357i
$947$	−10.3110	+	4.96554i	−0.335064	+	0.161358i	−0.593849	−	0.804577i	$-0.702392\pi$
$947$	−10.3110	+	4.96554i	−0.335064	+	0.161358i	0.258785	+	0.965935i	$0.416678\pi$
$948$	1.02450	−	4.48862i	0.0332741	−	0.145783i
$949$	4.63346			0.150408
$950$	36.7319			1.19174
$951$	−9.63316	+	42.2056i	−0.312377	+	1.36861i
$952$	2.15579	−	52.5416i	0.0698695	−	1.70288i
$953$	11.2373	+	49.2337i	0.364011	+	1.59484i	0.742905	+	0.669397i	$0.233447\pi$
$953$	11.2373	+	49.2337i	0.364011	+	1.59484i	−0.378894	+	0.925440i	$0.623695\pi$
$954$	−1.65543	−	7.25292i	−0.0535966	−	0.234822i
$955$	−22.4276	−	28.1233i	−0.725740	−	0.910050i
$956$	1.64957	+	2.06850i	0.0533510	+	0.0669000i
$957$	−14.9502	−	65.5012i	−0.483272	−	2.11735i
$958$	−4.29550	−	18.8198i	−0.138781	−	0.608040i
$959$	−7.14106	+	13.3944i	−0.230597	+	0.432527i
$960$	9.12346	−	39.9725i	0.294459	−	1.29011i
$961$	25.6253			0.826623
$962$	−13.2214			−0.426276
$963$	1.04599	−	4.58279i	0.0337066	−	0.147678i
$964$	−3.81355	+	1.83651i	−0.122826	+	0.0591499i
$965$	38.5989	+	48.4014i	1.24254	+	1.55810i
$966$	39.1723	+	10.6478i	1.26035	+	0.342587i
$967$	−18.2566	+	22.8931i	−0.587094	+	0.736192i	−0.983305	−	0.181967i	$-0.941753\pi$
$967$	−18.2566	+	22.8931i	−0.587094	+	0.736192i	0.396211	+	0.918159i	$0.370325\pi$
$968$	5.73047	−	25.1068i	0.184184	−	0.806965i
$969$	39.7680	−	49.8675i	1.27753	−	1.60197i
$970$	−1.16666	+	0.561833i	−0.0374591	+	0.0180394i
$971$	−33.2382	−	41.6794i	−1.06666	−	1.33755i	−0.938298	−	0.345828i	$-0.887598\pi$
$971$	−33.2382	−	41.6794i	−1.06666	−	1.33755i	−0.128366	−	0.991727i	$-0.540973\pi$
$972$	1.05236	+	0.506791i	0.0337545	+	0.0162553i
$973$	40.4741	−	7.50699i	1.29754	−	0.240663i
$974$	−38.5139	+	18.5473i	−1.23407	+	0.594295i
$975$	−9.08129	−	4.37332i	−0.290834	−	0.140058i
$976$	5.61320	+	24.5930i	0.179674	+	0.787203i
$977$	−29.5226	−	14.2174i	−0.944513	−	0.454854i	−0.102754	−	0.994707i	$-0.532765\pi$
$977$	−29.5226	−	14.2174i	−0.944513	−	0.454854i	−0.841759	+	0.539853i	$0.818480\pi$
$978$	−25.2140	+	31.6173i	−0.806255	+	1.01101i
$979$	−61.2621			−1.95794
$980$	−4.68466	−	2.74994i	−0.149646	−	0.0878436i
$981$	−2.71897			−0.0868102
$982$	5.37128	−	6.73537i	0.171404	−	0.214934i
$983$	−30.0134	−	14.4537i	−0.957277	−	0.461000i	−0.111046	−	0.993815i	$-0.535420\pi$
$983$	−30.0134	−	14.4537i	−0.957277	−	0.461000i	−0.846232	+	0.532815i	$0.821134\pi$
$984$	−4.96816	−	21.7669i	−0.158379	−	0.693904i
$985$	13.8171	+	6.65398i	0.440251	+	0.212014i
$986$	80.5123	−	38.7727i	2.56403	−	1.23477i
$987$	2.46790	−	4.62901i	0.0785542	−	0.147343i
$988$	−0.982989	−	0.473383i	−0.0312731	−	0.0150603i
$989$	27.1651	+	34.0640i	0.863800	+	1.08317i
$990$	−9.35076	+	4.50309i	−0.297187	+	0.143118i
$991$	−28.7717	+	36.0786i	−0.913963	+	1.14607i	0.0748917	+	0.997192i	$0.476139\pi$
$991$	−28.7717	+	36.0786i	−0.913963	+	1.14607i	−0.988855	+	0.148882i	$0.952433\pi$
$992$	−2.26637	+	9.92960i	−0.0719572	+	0.315265i
$993$	10.1117	−	12.6797i	0.320886	−	0.402379i
$994$	−26.5793	+	4.92983i	−0.843043	+	0.156365i
$995$	43.2627	+	54.2497i	1.37152	+	1.71983i
$996$	0.812062	−	0.391068i	0.0257312	−	0.0123915i
$997$	−7.75467	+	33.9754i	−0.245593	+	1.07601i	0.690243	+	0.723577i	$0.257503\pi$
$997$	−7.75467	+	33.9754i	−0.245593	+	1.07601i	−0.935836	+	0.352435i	$0.885354\pi$
$998$	4.56174			0.144399
$999$	41.6132			1.31658

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.92.21	✓	174
49.8	even	7	inner	637.2.w.b.547.21	yes	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.21	✓	174	1.1	even	1	trivial
637.2.w.b.547.21	yes	174	49.8	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.933262 - 1.17027i) q^{2} +(-1.67867 - 0.808405i) q^{3} +(-0.0535208 - 0.234490i) q^{4} +(2.90691 + 1.39989i) q^{5} +(-2.51269 + 1.21005i) q^{6} +(-2.13442 + 1.56341i) q^{7} +(2.37284 + 1.14270i) q^{8} +(0.293945 + 0.368596i) q^{9} +O(q^{10})\)	\(q+(0.933262 - 1.17027i) q^{2} +(-1.67867 - 0.808405i) q^{3} +(-0.0535208 - 0.234490i) q^{4} +(2.90691 + 1.39989i) q^{5} +(-2.51269 + 1.21005i) q^{6} +(-2.13442 + 1.56341i) q^{7} +(2.37284 + 1.14270i) q^{8} +(0.293945 + 0.368596i) q^{9} +(4.35117 - 2.09541i) q^{10} +(-2.84206 + 3.56383i) q^{11} +(-0.0997190 + 0.436898i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-0.162353 + 3.95693i) q^{14} +(-3.74806 - 4.69992i) q^{15} +(3.98516 - 1.91915i) q^{16} +(-1.67931 + 7.35756i) q^{17} +0.705686 q^{18} +4.53615 q^{19} +(0.172681 - 0.756564i) q^{20} +(4.84685 - 0.898977i) q^{21} +(1.51827 + 6.65199i) q^{22} +(1.22419 + 5.36354i) q^{23} +(-3.05945 - 3.83643i) q^{24} +(3.37296 + 4.22956i) q^{25} +(-0.333078 - 1.45931i) q^{26} +(1.04833 + 4.59303i) q^{27} +(0.480840 + 0.416825i) q^{28} +(1.76030 - 7.71239i) q^{29} -8.99811 q^{30} -7.52498 q^{31} +(0.301179 - 1.31955i) q^{32} +(7.65191 - 3.68496i) q^{33} +(7.04312 + 8.83179i) q^{34} +(-8.39317 + 1.55673i) q^{35} +(0.0706998 - 0.0886547i) q^{36} +(1.96551 - 8.61146i) q^{37} +(4.23342 - 5.30854i) q^{38} +(-1.67867 + 0.808405i) q^{39} +(5.29797 + 6.64344i) q^{40} +(4.09940 + 1.97417i) q^{41} +(3.47134 - 6.51113i) q^{42} +(7.13531 - 3.43618i) q^{43} +(0.987793 + 0.475696i) q^{44} +(0.338477 + 1.48297i) q^{45} +(7.41930 + 3.57295i) q^{46} +(0.663491 - 0.831992i) q^{47} -8.24121 q^{48} +(2.11149 - 6.67395i) q^{49} +8.09760 q^{50} +(8.76690 - 10.9933i) q^{51} +(-0.216701 - 0.104358i) q^{52} +(-2.34585 - 10.2778i) q^{53} +(6.35347 + 3.05967i) q^{54} +(-13.2506 + 6.38115i) q^{55} +(-6.85114 + 1.27073i) q^{56} +(-7.61470 - 3.66705i) q^{57} +(-7.38279 - 9.25772i) q^{58} +(-3.16067 + 1.52210i) q^{59} +(-0.901484 + 1.13043i) q^{60} +(-1.26904 + 5.56002i) q^{61} +(-7.02278 + 8.80629i) q^{62} +(-1.20367 - 0.327180i) q^{63} +(4.25247 + 5.33243i) q^{64} +(2.90691 - 1.39989i) q^{65} +(2.82882 - 12.3939i) q^{66} +5.37417 q^{67} +1.81515 q^{68} +(2.28090 - 9.99326i) q^{69} +(-6.01122 + 11.2751i) q^{70} +(1.51892 + 6.65483i) q^{71} +(0.276291 + 1.21051i) q^{72} +(2.88891 + 3.62258i) q^{73} +(-8.24343 - 10.3369i) q^{74} +(-2.24289 - 9.82676i) q^{75} +(-0.242778 - 1.06368i) q^{76} +(0.494414 - 12.0500i) q^{77} +(-0.620584 + 2.71896i) q^{78} -10.2738 q^{79} +14.2711 q^{80} +(2.26795 - 9.93655i) q^{81} +(6.13613 - 2.95500i) q^{82} +(-1.25401 - 1.57248i) q^{83} +(-0.470209 - 1.08842i) q^{84} +(-15.1814 + 19.0369i) q^{85} +(2.63784 - 11.5571i) q^{86} +(-9.18970 + 11.5235i) q^{87} +(-10.8162 + 5.20879i) q^{88} +(8.37947 + 10.5075i) q^{89} +(2.05136 + 0.987885i) q^{90} +(-0.108464 + 2.64353i) q^{91} +(1.19218 - 0.574122i) q^{92} +(12.6320 + 6.08323i) q^{93} +(-0.354447 - 1.55293i) q^{94} +(13.1862 + 6.35012i) q^{95} +(-1.57231 + 1.97162i) q^{96} -0.268125 q^{97} +(-5.83978 - 8.69957i) q^{98} -2.14902 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Introduction

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