LMFDB - Embedded newform 350.2.h.b.211.1

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:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 4 x^{11} + 6 x^{10} + x^{9} - 14 x^{8} + 10 x^{7} + 35 x^{6} - 110 x^{5} + 230 x^{4} + \cdots + 125 $ x^12 - 4x^11 + 6x^10 + x^9 - 14x^8 + 10x^7 + 35x^6 - 110x^5 + 230x^4 - 325x^3 + 300x^2 - 250x + 125
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			211.1
Root			$1.70682 - 0.839517i$ of defining polynomial
Character	$\chi$	$=$	350.211
Dual form			350.2.h.b.141.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 - 0.587785i) q^{2} +(-0.197419 + 0.607592i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.380957 + 2.20338i) q^{5} +(0.197419 + 0.607592i) q^{6} -1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.09686 + 1.52346i) q^{9} +O(q^{10})$	\(q+(0.809017 - 0.587785i) q^{2} +(-0.197419 + 0.607592i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.380957 + 2.20338i) q^{5} +(0.197419 + 0.607592i) q^{6} -1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.09686 + 1.52346i) q^{9} +(0.986912 + 2.00649i) q^{10} +(2.36389 - 1.71747i) q^{11} +(0.516849 + 0.375513i) q^{12} +(4.16114 + 3.02324i) q^{13} +(-0.809017 + 0.587785i) q^{14} +(-1.26355 - 0.666454i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(1.03637 + 3.18963i) q^{17} +2.59186 q^{18} +(0.143357 + 0.441207i) q^{19} +(1.97781 + 1.04319i) q^{20} +(0.197419 - 0.607592i) q^{21} +(0.902926 - 2.77892i) q^{22} +(-1.74912 + 1.27081i) q^{23} +0.638860 q^{24} +(-4.70974 - 1.67878i) q^{25} +5.14345 q^{26} +(-2.89014 + 2.09981i) q^{27} +(-0.309017 + 0.951057i) q^{28} +(0.495889 - 1.52619i) q^{29} +(-1.41396 + 0.203521i) q^{30} +(-2.38218 - 7.33159i) q^{31} -1.00000 q^{32} +(0.576844 + 1.77534i) q^{33} +(2.71326 + 1.97130i) q^{34} +(0.380957 - 2.20338i) q^{35} +(2.09686 - 1.52346i) q^{36} +(-8.73693 - 6.34775i) q^{37} +(0.375313 + 0.272681i) q^{38} +(-2.65838 + 1.93143i) q^{39} +(2.21326 - 0.318569i) q^{40} +(-0.780123 - 0.566792i) q^{41} +(-0.197419 - 0.607592i) q^{42} +9.00224 q^{43} +(-0.902926 - 2.77892i) q^{44} +(-4.15556 + 4.03980i) q^{45} +(-0.668105 + 2.05622i) q^{46} +(0.602622 - 1.85468i) q^{47} +(0.516849 - 0.375513i) q^{48} +1.00000 q^{49} +(-4.79703 + 1.41015i) q^{50} -2.14259 q^{51} +(4.16114 - 3.02324i) q^{52} +(0.786424 - 2.42037i) q^{53} +(-1.10394 + 3.39757i) q^{54} +(2.88369 + 5.86283i) q^{55} +(0.309017 + 0.951057i) q^{56} -0.296376 q^{57} +(-0.495889 - 1.52619i) q^{58} +(-5.01132 - 3.64093i) q^{59} +(-1.02429 + 0.995759i) q^{60} +(2.63488 - 1.91435i) q^{61} +(-6.23662 - 4.53117i) q^{62} +(-2.09686 - 1.52346i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-8.24656 + 8.01683i) q^{65} +(1.51020 + 1.09722i) q^{66} +(-2.23612 - 6.88208i) q^{67} +3.35377 q^{68} +(-0.426826 - 1.31363i) q^{69} +(-0.986912 - 2.00649i) q^{70} +(-0.291146 + 0.896057i) q^{71} +(0.800928 - 2.46500i) q^{72} +(-10.6430 + 7.73260i) q^{73} -10.7994 q^{74} +(1.94981 - 2.53018i) q^{75} +0.463913 q^{76} +(-2.36389 + 1.71747i) q^{77} +(-1.01541 + 3.12512i) q^{78} +(3.93180 - 12.1008i) q^{79} +(1.60331 - 1.55865i) q^{80} +(1.69752 + 5.22444i) q^{81} -0.964285 q^{82} +(3.93807 + 12.1201i) q^{83} +(-0.516849 - 0.375513i) q^{84} +(-7.42276 + 1.06841i) q^{85} +(7.28296 - 5.29138i) q^{86} +(0.829402 + 0.602596i) q^{87} +(-2.36389 - 1.71747i) q^{88} +(10.1908 - 7.40407i) q^{89} +(-0.987387 + 5.71084i) q^{90} +(-4.16114 - 3.02324i) q^{91} +(0.668105 + 2.05622i) q^{92} +4.92490 q^{93} +(-0.602622 - 1.85468i) q^{94} +(-1.02676 + 0.147788i) q^{95} +(0.197419 - 0.607592i) q^{96} +(0.746040 - 2.29608i) q^{97} +(0.809017 - 0.587785i) q^{98} +7.57323 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 3 q^{2} + q^{3} - 3 q^{4} - 5 q^{5} - q^{6} - 12 q^{7} + 3 q^{8} + 6 q^{9}+O(q^{10}) $ 12 * q + 3 * q^2 + q^3 - 3 * q^4 - 5 * q^5 - q^6 - 12 * q^7 + 3 * q^8 + 6 * q^9	\( 12 q + 3 q^{2} + q^{3} - 3 q^{4} - 5 q^{5} - q^{6} - 12 q^{7} + 3 q^{8} + 6 q^{9} + 7 q^{11} - 4 q^{12} + 3 q^{13} - 3 q^{14} - 10 q^{15} - 3 q^{16} + 4 q^{17} - 6 q^{18} + 4 q^{19} + 5 q^{20} - q^{21} - 2 q^{22} - q^{23} - 6 q^{24} - 5 q^{25} + 12 q^{26} + 10 q^{27} + 3 q^{28} + 22 q^{29} + 15 q^{30} + 31 q^{31} - 12 q^{32} - 21 q^{33} + 6 q^{34} + 5 q^{35} + 6 q^{36} + 9 q^{37} - 4 q^{38} - 20 q^{39} - 19 q^{41} + q^{42} + 50 q^{43} + 2 q^{44} - 25 q^{45} + 16 q^{46} - 24 q^{47} - 4 q^{48} + 12 q^{49} - 58 q^{51} + 3 q^{52} + 35 q^{53} + 25 q^{54} - 10 q^{55} - 3 q^{56} - 44 q^{57} - 22 q^{58} + q^{59} - 5 q^{60} + 8 q^{61} + 19 q^{62} - 6 q^{63} - 3 q^{64} - 25 q^{65} - 14 q^{66} - 36 q^{67} + 4 q^{68} - 31 q^{69} + q^{71} + 9 q^{72} - 31 q^{73} - 14 q^{74} + 55 q^{75} - 16 q^{76} - 7 q^{77} - 30 q^{78} + 2 q^{79} - 8 q^{81} - 6 q^{82} - 19 q^{83} + 4 q^{84} + 20 q^{85} + 10 q^{86} + 28 q^{87} - 7 q^{88} + 40 q^{89} + 20 q^{90} - 3 q^{91} - 16 q^{92} + 50 q^{93} + 24 q^{94} - q^{96} + 28 q^{97} + 3 q^{98} - 24 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 + q^3 - 3 * q^4 - 5 * q^5 - q^6 - 12 * q^7 + 3 * q^8 + 6 * q^9 + 7 * q^11 - 4 * q^12 + 3 * q^13 - 3 * q^14 - 10 * q^15 - 3 * q^16 + 4 * q^17 - 6 * q^18 + 4 * q^19 + 5 * q^20 - q^21 - 2 * q^22 - q^23 - 6 * q^24 - 5 * q^25 + 12 * q^26 + 10 * q^27 + 3 * q^28 + 22 * q^29 + 15 * q^30 + 31 * q^31 - 12 * q^32 - 21 * q^33 + 6 * q^34 + 5 * q^35 + 6 * q^36 + 9 * q^37 - 4 * q^38 - 20 * q^39 - 19 * q^41 + q^42 + 50 * q^43 + 2 * q^44 - 25 * q^45 + 16 * q^46 - 24 * q^47 - 4 * q^48 + 12 * q^49 - 58 * q^51 + 3 * q^52 + 35 * q^53 + 25 * q^54 - 10 * q^55 - 3 * q^56 - 44 * q^57 - 22 * q^58 + q^59 - 5 * q^60 + 8 * q^61 + 19 * q^62 - 6 * q^63 - 3 * q^64 - 25 * q^65 - 14 * q^66 - 36 * q^67 + 4 * q^68 - 31 * q^69 + q^71 + 9 * q^72 - 31 * q^73 - 14 * q^74 + 55 * q^75 - 16 * q^76 - 7 * q^77 - 30 * q^78 + 2 * q^79 - 8 * q^81 - 6 * q^82 - 19 * q^83 + 4 * q^84 + 20 * q^85 + 10 * q^86 + 28 * q^87 - 7 * q^88 + 40 * q^89 + 20 * q^90 - 3 * q^91 - 16 * q^92 + 50 * q^93 + 24 * q^94 - q^96 + 28 * q^97 + 3 * q^98 - 24 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{4}{5}\right)$

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 $

$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$3$	−0.197419	+	0.607592i	−0.113980	+	0.350793i	−0.991733	−	0.128320i	$-0.959042\pi$
$3$	−0.197419	+	0.607592i	−0.113980	+	0.350793i	0.877753	+	0.479113i	$0.159042\pi$
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	−0.380957	+	2.20338i	−0.170369	+	0.985380i
$5$	−0.380957	+	2.20338i	−0.170369	+	0.985380i
$6$	0.197419	+	0.607592i	0.0805958	+	0.248048i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	−0.309017	−	0.951057i	−0.109254	−	0.336249i
$9$	2.09686	+	1.52346i	0.698952	+	0.507819i
$10$	0.986912	+	2.00649i	0.312089	+	0.634508i
$11$	2.36389	−	1.71747i	0.712740	−	0.517836i	−0.171316	−	0.985216i	$-0.554802\pi$
$11$	2.36389	−	1.71747i	0.712740	−	0.517836i	0.884056	+	0.467380i	$0.154802\pi$
$12$	0.516849	+	0.375513i	0.149201	+	0.108401i
$13$	4.16114	+	3.02324i	1.15409	+	0.838496i	0.989020	−	0.147785i	$-0.0472144\pi$
$13$	4.16114	+	3.02324i	1.15409	+	0.838496i	0.165072	+	0.986282i	$0.447214\pi$
$14$	−0.809017	+	0.587785i	−0.216219	+	0.157092i
$15$	−1.26355	−	0.666454i	−0.326246	−	0.172078i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	1.03637	+	3.18963i	0.251357	+	0.773598i	0.994526	+	0.104494i	$0.0333222\pi$
$17$	1.03637	+	3.18963i	0.251357	+	0.773598i	−0.743168	+	0.669105i	$0.766678\pi$
$18$	2.59186			0.610907
$19$	0.143357	+	0.441207i	0.0328884	+	0.101220i	0.966153	−	0.257969i	$-0.0830533\pi$
$19$	0.143357	+	0.441207i	0.0328884	+	0.101220i	−0.933265	+	0.359189i	$0.883053\pi$
$20$	1.97781	+	1.04319i	0.442253	+	0.233265i
$21$	0.197419	−	0.607592i	0.0430803	−	0.132587i
$22$	0.902926	−	2.77892i	0.192505	−	0.592468i
$23$	−1.74912	+	1.27081i	−0.364717	+	0.264983i	−0.755017	−	0.655705i	$-0.772371\pi$
$23$	−1.74912	+	1.27081i	−0.364717	+	0.264983i	0.390300	+	0.920688i	$0.372371\pi$
$24$	0.638860			0.130407
$25$	−4.70974	−	1.67878i	−0.941949	−	0.335757i
$26$	5.14345			1.00871
$27$	−2.89014	+	2.09981i	−0.556209	+	0.404109i
$28$	−0.309017	+	0.951057i	−0.0583987	+	0.179733i
$29$	0.495889	−	1.52619i	0.0920842	−	0.283406i	−0.894399	−	0.447271i	$-0.852396\pi$
$29$	0.495889	−	1.52619i	0.0920842	−	0.283406i	0.986483	+	0.163865i	$0.0523961\pi$
$30$	−1.41396	+	0.203521i	−0.258153	+	0.0371577i
$31$	−2.38218	−	7.33159i	−0.427852	−	1.31679i	−0.900237	−	0.435400i	$-0.856607\pi$
$31$	−2.38218	−	7.33159i	−0.427852	−	1.31679i	0.472386	−	0.881392i	$-0.343393\pi$
$32$	−1.00000			−0.176777
$33$	0.576844	+	1.77534i	0.100416	+	0.309047i
$34$	2.71326	+	1.97130i	0.465320	+	0.338075i
$35$	0.380957	−	2.20338i	0.0643935	−	0.372439i
$36$	2.09686	−	1.52346i	0.349476	−	0.253909i
$37$	−8.73693	−	6.34775i	−1.43634	−	1.04356i	−0.988791	−	0.149305i	$-0.952296\pi$
$37$	−8.73693	−	6.34775i	−1.43634	−	1.04356i	−0.447551	−	0.894259i	$-0.647704\pi$
$38$	0.375313	+	0.272681i	0.0608839	+	0.0442347i
$39$	−2.65838	+	1.93143i	−0.425682	+	0.309276i
$40$	2.21326	−	0.318569i	0.349947	−	0.0503702i
$41$	−0.780123	−	0.566792i	−0.121835	−	0.0885181i	0.525199	−	0.850979i	$-0.323991\pi$
$41$	−0.780123	−	0.566792i	−0.121835	−	0.0885181i	−0.647034	+	0.762461i	$0.723991\pi$
$42$	−0.197419	−	0.607592i	−0.0304624	−	0.0937535i
$43$	9.00224			1.37283			0.686414	−	0.727211i	$-0.259184\pi$
$43$	9.00224			1.37283			0.686414	+	0.727211i	$0.259184\pi$
$44$	−0.902926	−	2.77892i	−0.136121	−	0.418938i
$45$	−4.15556	+	4.03980i	−0.619474	+	0.602217i
$46$	−0.668105	+	2.05622i	−0.0985067	+	0.303173i
$47$	0.602622	−	1.85468i	0.0879014	−	0.270533i	−0.897437	−	0.441142i	$-0.854574\pi$
$47$	0.602622	−	1.85468i	0.0879014	−	0.270533i	0.985339	+	0.170609i	$0.0545736\pi$
$48$	0.516849	−	0.375513i	0.0746007	−	0.0542006i
$49$	1.00000			0.142857
$50$	−4.79703	+	1.41015i	−0.678402	+	0.199426i
$51$	−2.14259			−0.300023
$52$	4.16114	−	3.02324i	0.577046	−	0.419248i
$53$	0.786424	−	2.42037i	0.108024	−	0.332463i	−0.882405	−	0.470492i	$-0.844077\pi$
$53$	0.786424	−	2.42037i	0.108024	−	0.332463i	0.990428	+	0.138029i	$0.0440766\pi$
$54$	−1.10394	+	3.39757i	−0.150227	+	0.462351i
$55$	2.88369	+	5.86283i	0.388836	+	0.790543i
$56$	0.309017	+	0.951057i	0.0412941	+	0.127090i
$57$	−0.296376			−0.0392559
$58$	−0.495889	−	1.52619i	−0.0651134	−	0.200398i
$59$	−5.01132	−	3.64093i	−0.652418	−	0.474009i	0.211676	−	0.977340i	$-0.432108\pi$
$59$	−5.01132	−	3.64093i	−0.652418	−	0.474009i	−0.864094	+	0.503331i	$0.832108\pi$
$60$	−1.02429	+	0.995759i	−0.132236	+	0.128552i
$61$	2.63488	−	1.91435i	0.337362	−	0.245108i	−0.406186	−	0.913790i	$-0.633141\pi$
$61$	2.63488	−	1.91435i	0.337362	−	0.245108i	0.743548	+	0.668683i	$0.233141\pi$
$62$	−6.23662	−	4.53117i	−0.792051	−	0.575459i
$63$	−2.09686	−	1.52346i	−0.264179	−	0.191937i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	−8.24656	+	8.01683i	−1.02286	+	0.994365i
$66$	1.51020	+	1.09722i	0.185892	+	0.135059i
$67$	−2.23612	−	6.88208i	−0.273186	−	0.840780i	−0.989694	−	0.143201i	$-0.954261\pi$
$67$	−2.23612	−	6.88208i	−0.273186	−	0.840780i	0.716508	−	0.697579i	$-0.245739\pi$
$68$	3.35377			0.406705
$69$	−0.426826	−	1.31363i	−0.0513838	−	0.158143i
$70$	−0.986912	−	2.00649i	−0.117959	−	0.239822i
$71$	−0.291146	+	0.896057i	−0.0345527	+	0.106342i	−0.966845	−	0.255362i	$-0.917805\pi$
$71$	−0.291146	+	0.896057i	−0.0345527	+	0.106342i	0.932293	+	0.361705i	$0.117805\pi$
$72$	0.800928	−	2.46500i	0.0943903	−	0.290503i
$73$	−10.6430	+	7.73260i	−1.24567	+	0.905032i	−0.997963	−	0.0638030i	$-0.979677\pi$
$73$	−10.6430	+	7.73260i	−1.24567	+	0.905032i	−0.247707	+	0.968835i	$0.579677\pi$
$74$	−10.7994			−1.25541
$75$	1.94981	−	2.53018i	0.225144	−	0.292160i
$76$	0.463913			0.0532145
$77$	−2.36389	+	1.71747i	−0.269390	+	0.195724i
$78$	−1.01541	+	3.12512i	−0.114973	+	0.353850i
$79$	3.93180	−	12.1008i	0.442362	−	1.36145i	−0.442990	−	0.896527i	$-0.646082\pi$
$79$	3.93180	−	12.1008i	0.442362	−	1.36145i	0.885351	−	0.464923i	$-0.153918\pi$
$80$	1.60331	−	1.55865i	0.179256	−	0.174262i
$81$	1.69752	+	5.22444i	0.188614	+	0.580493i
$82$	−0.964285			−0.106487
$83$	3.93807	+	12.1201i	0.432260	+	1.33036i	0.895869	+	0.444319i	$0.146554\pi$
$83$	3.93807	+	12.1201i	0.432260	+	1.33036i	−0.463609	+	0.886040i	$0.653446\pi$
$84$	−0.516849	−	0.375513i	−0.0563928	−	0.0409718i
$85$	−7.42276	+	1.06841i	−0.805112	+	0.115885i
$86$	7.28296	−	5.29138i	0.785342	−	0.570585i
$87$	0.829402	+	0.602596i	0.0889212	+	0.0646051i
$88$	−2.36389	−	1.71747i	−0.251992	−	0.183083i
$89$	10.1908	−	7.40407i	1.08022	−	0.784829i	0.102503	−	0.994733i	$-0.467315\pi$
$89$	10.1908	−	7.40407i	1.08022	−	0.784829i	0.977722	+	0.209903i	$0.0673149\pi$
$90$	−0.987387	+	5.71084i	−0.104080	+	0.601975i
$91$	−4.16114	−	3.02324i	−0.436206	−	0.316922i
$92$	0.668105	+	2.05622i	0.0696548	+	0.214375i
$93$	4.92490			0.510688
$94$	−0.602622	−	1.85468i	−0.0621557	−	0.191296i
$95$	−1.02676	+	0.147788i	−0.105343	+	0.0151628i
$96$	0.197419	−	0.607592i	0.0201490	−	0.0620121i
$97$	0.746040	−	2.29608i	0.0757489	−	0.233131i	−0.906012	−	0.423253i	$-0.860888\pi$
$97$	0.746040	−	2.29608i	0.0757489	−	0.233131i	0.981761	+	0.190122i	$0.0608882\pi$
$98$	0.809017	−	0.587785i	0.0817231	−	0.0593753i
$99$	7.57323			0.761138
$100$	−3.05201	+	3.96046i	−0.305201	+	0.396046i
$101$	−4.02410			−0.400413			−0.200207	−	0.979754i	$-0.564161\pi$
$101$	−4.02410			−0.400413			−0.200207	+	0.979754i	$0.564161\pi$
$102$	−1.73339	+	1.25938i	−0.171631	+	0.124698i
$103$	0.713337	−	2.19543i	0.0702872	−	0.216322i	−0.909742	−	0.415173i	$-0.863721\pi$
$103$	0.713337	−	2.19543i	0.0702872	−	0.216322i	0.980030	+	0.198851i	$0.0637210\pi$
$104$	1.58941	−	4.89171i	0.155855	−	0.479671i
$105$	1.26355	+	0.666454i	0.123310	+	0.0650393i
$106$	−0.786424	−	2.42037i	−0.0763843	−	0.235087i
$107$	−11.7777			−1.13859			−0.569296	−	0.822133i	$-0.692784\pi$
$107$	−11.7777			−1.13859			−0.569296	+	0.822133i	$0.692784\pi$
$108$	1.10394	+	3.39757i	0.106226	+	0.326931i
$109$	−6.63858	−	4.82321i	−0.635860	−	0.461980i	0.222565	−	0.974918i	$-0.428557\pi$
$109$	−6.63858	−	4.82321i	−0.635860	−	0.461980i	−0.858426	+	0.512938i	$0.828557\pi$
$110$	5.77904	+	3.04814i	0.551009	+	0.290628i
$111$	5.58167	−	4.05532i	0.529789	−	0.384914i
$112$	0.809017	+	0.587785i	0.0764449	+	0.0555405i
$113$	12.1766	+	8.84678i	1.14547	+	0.832235i	0.987872	−	0.155267i	$-0.0496239\pi$
$113$	12.1766	+	8.84678i	1.14547	+	0.832235i	0.157601	+	0.987503i	$0.449624\pi$
$114$	−0.239773	+	0.174205i	−0.0224568	+	0.0163158i
$115$	−2.13374	−	4.33810i	−0.198972	−	0.404530i
$116$	−1.29825	−	0.943236i	−0.120540	−	0.0875773i
$117$	4.11953	+	12.6786i	0.380851	+	1.17214i
$118$	−6.19433			−0.570234
$119$	−1.03637	−	3.18963i	−0.0950041	−	0.292393i
$120$	−0.243378	+	1.40765i	−0.0222173	+	0.128500i
$121$	−0.760899	+	2.34181i	−0.0691726	+	0.212891i
$122$	1.00644	−	3.09749i	0.0911184	−	0.280434i
$123$	0.498389	−	0.362101i	0.0449383	−	0.0326496i
$124$	−7.70889			−0.692278
$125$	5.49321	−	9.73780i	0.491327	−	0.870975i
$126$	−2.59186			−0.230901
$127$	−8.57726	+	6.23174i	−0.761109	+	0.552978i	−0.899250	−	0.437435i	$-0.855887\pi$
$127$	−8.57726	+	6.23174i	−0.761109	+	0.552978i	0.138141	+	0.990413i	$0.455887\pi$
$128$	−0.309017	+	0.951057i	−0.0273135	+	0.0840623i
$129$	−1.77721	+	5.46969i	−0.156475	+	0.481579i
$130$	−1.95943	+	11.3330i	−0.171854	+	0.993966i
$131$	1.09491	+	3.36979i	0.0956629	+	0.294420i	0.987426	−	0.158083i	$-0.0505313\pi$
$131$	1.09491	+	3.36979i	0.0956629	+	0.294420i	−0.891763	+	0.452503i	$0.850531\pi$
$132$	1.86671			0.162476
$133$	−0.143357	−	0.441207i	−0.0124306	−	0.0382575i
$134$	−5.85425	−	4.25336i	−0.505730	−	0.367434i
$135$	−3.52566	−	7.16802i	−0.303440	−	0.616925i
$136$	2.71326	−	1.97130i	0.232660	−	0.169037i
$137$	17.7321	+	12.8831i	1.51495	+	1.10068i	0.963920	+	0.266194i	$0.0857660\pi$
$137$	17.7321	+	12.8831i	1.51495	+	1.10068i	0.551033	+	0.834484i	$0.314234\pi$
$138$	−1.11744	−	0.811871i	−0.0951232	−	0.0691110i
$139$	16.2519	−	11.8077i	1.37847	−	1.00152i	0.381448	−	0.924390i	$-0.375426\pi$
$139$	16.2519	−	11.8077i	1.37847	−	1.00152i	0.997021	−	0.0771262i	$-0.0245744\pi$
$140$	−1.97781	−	1.04319i	−0.167156	−	0.0881659i
$141$	1.00792	+	0.732296i	0.0848821	+	0.0616705i
$142$	0.291146	+	0.896057i	0.0244325	+	0.0751954i
$143$	15.0288			1.25677
$144$	−0.800928	−	2.46500i	−0.0667440	−	0.205417i
$145$	3.17386	+	1.67404i	0.263574	+	0.139022i
$146$	−4.06527	+	12.5116i	−0.336444	+	1.03547i
$147$	−0.197419	+	0.607592i	−0.0162828	+	0.0501134i
$148$	−8.73693	+	6.34775i	−0.718171	+	0.521782i
$149$	−6.36500			−0.521442			−0.260721	−	0.965414i	$-0.583960\pi$
$149$	−6.36500			−0.521442			−0.260721	+	0.965414i	$0.583960\pi$
$150$	0.0902254	−	3.19303i	0.00736687	−	0.260710i
$151$	−1.86745			−0.151971			−0.0759856	−	0.997109i	$-0.524210\pi$
$151$	−1.86745			−0.151971			−0.0759856	+	0.997109i	$0.524210\pi$
$152$	0.375313	−	0.272681i	0.0304419	−	0.0221174i
$153$	−2.68613	+	8.26706i	−0.217161	+	0.668352i
$154$	−0.902926	+	2.77892i	−0.0727599	+	0.223932i
$155$	17.0618	−	2.45581i	1.37043	−	0.197256i
$156$	1.01541	+	3.12512i	0.0812981	+	0.250210i
$157$	−23.3349			−1.86233			−0.931165	−	0.364599i	$-0.881206\pi$
$157$	−23.3349			−1.86233			−0.931165	+	0.364599i	$0.881206\pi$
$158$	−3.93180	−	12.1008i	−0.312797	−	0.962690i
$159$	1.31534	+	0.955651i	0.104313	+	0.0757880i
$160$	0.380957	−	2.20338i	0.0301173	−	0.174192i
$161$	1.74912	−	1.27081i	0.137850	−	0.100154i
$162$	4.44417	+	3.22888i	0.349167	+	0.253685i
$163$	−15.4609	−	11.2330i	−1.21099	−	0.879835i	−0.215669	−	0.976466i	$-0.569193\pi$
$163$	−15.4609	−	11.2330i	−1.21099	−	0.879835i	−0.995320	+	0.0966310i	$0.969193\pi$
$164$	−0.780123	+	0.566792i	−0.0609174	+	0.0442591i
$165$	−4.13150	+	0.594675i	−0.321637	+	0.0462954i
$166$	10.3100	+	7.49066i	0.800212	+	0.581388i
$167$	−0.543949	−	1.67410i	−0.0420920	−	0.129546i	0.927802	−	0.373072i	$-0.121696\pi$
$167$	−0.543949	−	1.67410i	−0.0420920	−	0.129546i	−0.969894	+	0.243527i	$0.921696\pi$
$168$	−0.638860			−0.0492891
$169$	4.15784	+	12.7965i	0.319834	+	0.984347i
$170$	−5.37715	+	5.22735i	−0.412408	+	0.400920i
$171$	−0.371561	+	1.14355i	−0.0284140	+	0.0874492i
$172$	2.78184	−	8.56164i	0.212114	−	0.652819i
$173$	14.8429	−	10.7840i	1.12848	−	0.819891i	0.143010	−	0.989721i	$-0.454322\pi$
$173$	14.8429	−	10.7840i	1.12848	−	0.819891i	0.985473	+	0.169830i	$0.0543219\pi$
$174$	1.02520			0.0777200
$175$	4.70974	+	1.67878i	0.356023	+	0.126904i
$176$	−2.92193			−0.220249
$177$	3.20153	−	2.32605i	0.240642	−	0.174836i
$178$	3.89255	−	11.9800i	0.291759	−	0.897941i
$179$	3.17612	−	9.77511i	0.237395	−	0.730626i	−0.759400	−	0.650624i	$-0.774507\pi$
$179$	3.17612	−	9.77511i	0.237395	−	0.730626i	0.996795	−	0.0800017i	$-0.0254926\pi$
$180$	2.55793	+	5.20054i	0.190657	+	0.387625i
$181$	−1.77000	−	5.44751i	−0.131563	−	0.404910i	0.863476	−	0.504389i	$-0.168282\pi$
$181$	−1.77000	−	5.44751i	−0.131563	−	0.404910i	−0.995040	+	0.0994791i	$0.968282\pi$
$182$	−5.14345			−0.381258
$183$	0.642972	+	1.97886i	0.0475298	+	0.146282i
$184$	1.74912	+	1.27081i	0.128947	+	0.0936855i
$185$	17.3149	−	16.8325i	1.27302	−	1.23755i
$186$	3.98433	−	2.89478i	0.292145	−	0.212256i
$187$	7.92795	+	5.76000i	0.579749	+	0.421213i
$188$	−1.57768	−	1.14625i	−0.115064	−	0.0835992i
$189$	2.89014	−	2.09981i	0.210227	−	0.152739i
$190$	−0.743798	+	0.723077i	−0.0539608	+	0.0524575i
$191$	16.9993	+	12.3507i	1.23002	+	0.893665i	0.996892	−	0.0787805i	$-0.0251026\pi$
$191$	16.9993	+	12.3507i	1.23002	+	0.893665i	0.233132	+	0.972445i	$0.425103\pi$
$192$	−0.197419	−	0.607592i	−0.0142475	−	0.0438492i
$193$	−0.544923			−0.0392244			−0.0196122	−	0.999808i	$-0.506243\pi$
$193$	−0.544923			−0.0392244			−0.0196122	+	0.999808i	$0.506243\pi$
$194$	−0.746040	−	2.29608i	−0.0535626	−	0.164849i
$195$	−3.24294	−	6.59321i	−0.232231	−	0.472150i
$196$	0.309017	−	0.951057i	0.0220726	−	0.0679326i
$197$	3.32518	−	10.2339i	0.236909	−	0.729132i	−0.759953	−	0.649978i	$-0.774778\pi$
$197$	3.32518	−	10.2339i	0.236909	−	0.729132i	0.996862	−	0.0791541i	$-0.0252219\pi$
$198$	6.12687	−	4.45143i	0.435418	−	0.316349i
$199$	−2.78305			−0.197285			−0.0986425	−	0.995123i	$-0.531450\pi$
$199$	−2.78305			−0.197285			−0.0986425	+	0.995123i	$0.531450\pi$
$200$	−0.141229	+	4.99801i	−0.00998638	+	0.353412i
$201$	4.62295			0.326078
$202$	−3.25557	+	2.36531i	−0.229061	+	0.166423i
$203$	−0.495889	+	1.52619i	−0.0348046	+	0.107117i
$204$	−0.662097	+	2.03773i	−0.0463561	+	0.142669i
$205$	1.54605	−	1.50298i	0.107981	−	0.104973i
$206$	−0.713337	−	2.19543i	−0.0497006	−	0.152963i
$207$	−5.60368			−0.389483
$208$	−1.58941	−	4.89171i	−0.110206	−	0.339179i
$209$	1.09664	+	0.796756i	0.0758562	+	0.0551127i
$210$	1.41396	−	0.203521i	0.0975727	−	0.0140443i
$211$	19.9943	−	14.5267i	1.37646	−	1.00006i	0.379260	−	0.925290i	$-0.376179\pi$
$211$	19.9943	−	14.5267i	1.37646	−	1.00006i	0.997201	−	0.0747673i	$-0.0238214\pi$
$212$	−2.05889	−	1.49587i	−0.141405	−	0.102737i
$213$	−0.486959	−	0.353797i	−0.0333659	−	0.0242417i
$214$	−9.52835	+	6.92275i	−0.651344	+	0.473229i
$215$	−3.42947	+	19.8353i	−0.233888	+	1.35276i
$216$	2.89014	+	2.09981i	0.196649	+	0.142874i
$217$	2.38218	+	7.33159i	0.161713	+	0.497701i
$218$	−8.20573			−0.555762
$219$	−2.59714	−	7.99317i	−0.175498	−	0.540128i
$220$	6.46699	−	0.930837i	0.436004	−	0.0627570i
$221$	−5.33053	+	16.4057i	−0.358570	+	1.10357i
$222$	2.13201	−	6.56165i	0.143091	−	0.440389i
$223$	−0.633546	+	0.460298i	−0.0424254	+	0.0308238i	−0.608796	−	0.793327i	$-0.708347\pi$
$223$	−0.633546	+	0.460298i	−0.0424254	+	0.0308238i	0.566370	+	0.824151i	$0.308347\pi$
$224$	1.00000			0.0668153
$225$	−7.31810	−	10.6953i	−0.487874	−	0.713017i
$226$	15.0510			1.00118
$227$	−7.27876	+	5.28833i	−0.483108	+	0.350999i	−0.802528	−	0.596615i	$-0.796512\pi$
$227$	−7.27876	+	5.28833i	−0.483108	+	0.350999i	0.319420	+	0.947613i	$0.396512\pi$
$228$	−0.0915851	+	0.281870i	−0.00606537	+	0.0186673i
$229$	−6.23006	+	19.1742i	−0.411694	+	1.26706i	0.503480	+	0.864007i	$0.332053\pi$
$229$	−6.23006	+	19.1742i	−0.411694	+	1.26706i	−0.915174	+	0.403058i	$0.867947\pi$
$230$	−4.27610	−	2.25542i	−0.281958	−	0.148718i
$231$	−0.576844	−	1.77534i	−0.0379535	−	0.116809i
$232$	−1.60473			−0.105356
$233$	8.20319	+	25.2468i	0.537409	+	1.65397i	0.738386	+	0.674379i	$0.235588\pi$
$233$	8.20319	+	25.2468i	0.537409	+	1.65397i	−0.200977	+	0.979596i	$0.564412\pi$
$234$	10.7851	+	7.83581i	0.705042	+	0.512243i
$235$	3.85698	+	2.03436i	0.251602	+	0.132707i
$236$	−5.01132	+	3.64093i	−0.326209	+	0.237005i
$237$	6.57616	+	4.77786i	0.427167	+	0.310355i
$238$	−2.71326	−	1.97130i	−0.175874	−	0.127780i
$239$	7.40054	−	5.37680i	0.478701	−	0.347797i	−0.322122	−	0.946698i	$-0.604396\pi$
$239$	7.40054	−	5.37680i	0.478701	−	0.347797i	0.800823	+	0.598902i	$0.204396\pi$
$240$	0.630499	+	1.28187i	0.0406985	+	0.0827442i
$241$	−17.2174	−	12.5091i	−1.10907	−	0.805784i	−0.126551	−	0.991960i	$-0.540391\pi$
$241$	−17.2174	−	12.5091i	−1.10907	−	0.805784i	−0.982516	+	0.186176i	$0.940391\pi$
$242$	0.760899	+	2.34181i	0.0489124	+	0.150537i
$243$	−14.2267			−0.912643
$244$	−1.00644	−	3.09749i	−0.0644304	−	0.198297i
$245$	−0.380957	+	2.20338i	−0.0243385	+	0.140769i
$246$	0.190368	−	0.585892i	0.0121374	−	0.0373551i
$247$	−0.737349	+	2.26933i	−0.0469164	+	0.144394i
$248$	−6.23662	+	4.53117i	−0.396026	+	0.287730i
$249$	−8.14155			−0.515950
$250$	−1.27963	−	11.1069i	−0.0809312	−	0.702460i
$251$	−24.2479			−1.53051			−0.765257	−	0.643724i	$-0.777388\pi$
$251$	−24.2479			−1.53051			−0.765257	+	0.643724i	$0.777388\pi$
$252$	−2.09686	+	1.52346i	−0.132090	+	0.0959687i
$253$	−1.95216	+	6.00812i	−0.122731	+	0.377727i
$254$	−3.27622	+	10.0832i	−0.205568	+	0.632675i
$255$	0.816236	−	4.72094i	0.0511147	−	0.295637i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	9.42098			0.587665			0.293832	−	0.955857i	$-0.405069\pi$
$257$	9.42098			0.587665			0.293832	+	0.955857i	$0.405069\pi$
$258$	1.77721	+	5.46969i	0.110644	+	0.340528i
$259$	8.73693	+	6.34775i	0.542886	+	0.394430i
$260$	5.07613	+	10.3203i	0.314808	+	0.640036i
$261$	3.36489	−	2.44473i	0.208281	−	0.151325i
$262$	2.86652	+	2.08265i	0.177094	+	0.128666i
$263$	−7.73425	−	5.61926i	−0.476914	−	0.346499i	0.323216	−	0.946325i	$-0.395236\pi$
$263$	−7.73425	−	5.61926i	−0.476914	−	0.346499i	−0.800130	+	0.599827i	$0.795236\pi$
$264$	1.51020	−	1.09722i	0.0929462	−	0.0675293i
$265$	5.03338	+	2.65485i	0.309198	+	0.163086i
$266$	−0.375313	−	0.272681i	−0.0230119	−	0.0167192i
$267$	2.48679	+	7.65356i	0.152189	+	0.468391i
$268$	−7.23625			−0.442024
$269$	7.86841	+	24.2165i	0.479745	+	1.47650i	0.839450	+	0.543438i	$0.182878\pi$
$269$	7.86841	+	24.2165i	0.479745	+	1.47650i	−0.359704	+	0.933066i	$0.617122\pi$
$270$	−7.06557	−	3.72672i	−0.429997	−	0.226801i
$271$	−7.94840	+	24.4627i	−0.482831	+	1.48600i	0.352267	+	0.935900i	$0.385411\pi$
$271$	−7.94840	+	24.4627i	−0.482831	+	1.48600i	−0.835098	+	0.550102i	$0.814589\pi$
$272$	1.03637	−	3.18963i	0.0628393	−	0.193400i
$273$	2.65838	−	1.93143i	0.160893	−	0.116895i
$274$	21.9180			1.32412
$275$	−14.0166	+	4.12037i	−0.845232	+	0.248467i
$276$	−1.38124			−0.0831407
$277$	20.8934	−	15.1800i	1.25536	−	0.912076i	0.256844	−	0.966453i	$-0.417317\pi$
$277$	20.8934	−	15.1800i	1.25536	−	0.912076i	0.998520	+	0.0543767i	$0.0173172\pi$
$278$	6.20768	−	19.1053i	0.372312	−	1.14586i
$279$	6.17426	−	19.0024i	0.369643	−	1.13765i
$280$	−2.21326	+	0.318569i	−0.132268	+	0.0190382i
$281$	−3.21822	−	9.90466i	−0.191983	−	0.590862i	−0.999999	−	0.00170148i	$-0.999458\pi$
$281$	−3.21822	−	9.90466i	−0.191983	−	0.590862i	0.808016	−	0.589161i	$-0.200542\pi$
$282$	1.24586			0.0741897
$283$	−4.25845	−	13.1062i	−0.253139	−	0.779081i	−0.994191	−	0.107633i	$-0.965673\pi$
$283$	−4.25845	−	13.1062i	−0.253139	−	0.779081i	0.741052	−	0.671448i	$-0.234327\pi$
$284$	0.762231	+	0.553793i	0.0452301	+	0.0328616i
$285$	0.112906	−	0.653027i	0.00668800	−	0.0386820i
$286$	12.1586	−	8.83370i	0.718950	−	0.522348i
$287$	0.780123	+	0.566792i	0.0460492	+	0.0334567i
$288$	−2.09686	−	1.52346i	−0.123558	−	0.0897705i
$289$	4.65364	−	3.38107i	0.273743	−	0.198886i
$290$	3.55168	−	0.511217i	0.208562	−	0.0300197i
$291$	1.24780	+	0.906577i	0.0731471	+	0.0531445i
$292$	4.06527	+	12.5116i	0.237902	+	0.732186i
$293$	−7.04351			−0.411486			−0.205743	−	0.978606i	$-0.565961\pi$
$293$	−7.04351			−0.411486			−0.205743	+	0.978606i	$0.565961\pi$
$294$	0.197419	+	0.607592i	0.0115137	+	0.0354355i
$295$	9.93145	−	9.65478i	0.578231	−	0.562123i
$296$	−3.33721	+	10.2709i	−0.193971	+	0.596982i
$297$	−3.22563	+	9.92746i	−0.187170	+	0.576050i
$298$	−5.14940	+	3.74126i	−0.298297	+	0.216725i
$299$	−11.1203			−0.643104
$300$	−1.80382	−	2.63625i	−0.104144	−	0.152204i
$301$	−9.00224			−0.518880
$302$	−1.51080	+	1.09766i	−0.0869369	+	0.0631633i
$303$	0.794433	−	2.44501i	0.0456390	−	0.140462i
$304$	0.143357	−	0.441207i	0.00822209	−	0.0253050i
$305$	3.21427	+	6.53493i	0.184048	+	0.374189i
$306$	2.68613	+	8.26706i	0.153556	+	0.472596i
$307$	−31.7806			−1.81382			−0.906908	−	0.421329i	$-0.861564\pi$
$307$	−31.7806			−1.81382			−0.906908	+	0.421329i	$0.861564\pi$
$308$	0.902926	+	2.77892i	0.0514490	+	0.158344i
$309$	1.19310	+	0.866836i	0.0678730	+	0.0493126i
$310$	12.3598	−	12.0154i	0.701987	−	0.682431i
$311$	−21.9357	+	15.9372i	−1.24386	+	0.903716i	−0.997849	−	0.0655512i	$-0.979119\pi$
$311$	−21.9357	+	15.9372i	−1.24386	+	0.903716i	−0.246009	+	0.969267i	$0.579119\pi$
$312$	2.65838	+	1.93143i	0.150501	+	0.109346i
$313$	−15.9868	−	11.6151i	−0.903629	−	0.656525i	0.0357668	−	0.999360i	$-0.488613\pi$
$313$	−15.9868	−	11.6151i	−0.903629	−	0.656525i	−0.939395	+	0.342835i	$0.888613\pi$
$314$	−18.8783	+	13.7159i	−1.06537	+	0.774034i
$315$	4.15556	−	4.03980i	0.234139	−	0.227617i
$316$	−10.2936	−	7.47872i	−0.579059	−	0.420711i
$317$	1.28504	+	3.95495i	0.0721751	+	0.222132i	0.980637	−	0.195837i	$-0.0627422\pi$
$317$	1.28504	+	3.95495i	0.0721751	+	0.222132i	−0.908461	+	0.417969i	$0.862742\pi$
$318$	1.62585			0.0911731
$319$	−1.44895	−	4.45942i	−0.0811257	−	0.249679i
$320$	−0.986912	−	2.00649i	−0.0551700	−	0.112166i
$321$	2.32513	−	7.15603i	0.129776	−	0.399411i
$322$	0.668105	−	2.05622i	0.0372320	−	0.114588i
$323$	−1.25872	+	0.914511i	−0.0700368	+	0.0508847i
$324$	5.49330			0.305183
$325$	−14.5225	−	21.2243i	−0.805564	−	1.17731i
$326$	−19.1107			−1.05844
$327$	4.24112	−	3.08136i	0.234535	−	0.170399i
$328$	−0.297980	+	0.917089i	−0.0164532	+	0.0506378i
$329$	−0.602622	+	1.85468i	−0.0332236	+	0.102252i
$330$	−2.99291	+	2.90954i	−0.164754	+	0.160165i
$331$	1.41981	+	4.36973i	0.0780400	+	0.240182i	0.982464	−	0.186452i	$-0.0596990\pi$
$331$	1.41981	+	4.36973i	0.0780400	+	0.240182i	−0.904424	+	0.426635i	$0.859699\pi$
$332$	12.7439			0.699411
$333$	−8.64957	−	26.6206i	−0.473994	−	1.45880i
$334$	−1.42408	−	1.03465i	−0.0779220	−	0.0566136i
$335$	16.0157	−	2.30525i	0.875030	−	0.125949i
$336$	−0.516849	+	0.375513i	−0.0281964	+	0.0204859i
$337$	−4.29274	−	3.11886i	−0.233841	−	0.169895i	0.464694	−	0.885471i	$-0.346164\pi$
$337$	−4.29274	−	3.11886i	−0.233841	−	0.169895i	−0.698535	+	0.715576i	$0.746164\pi$
$338$	10.8854	+	7.90868i	0.592085	+	0.430175i
$339$	−7.77911	+	5.65186i	−0.422504	+	0.306967i
$340$	−1.27764	+	7.38963i	−0.0692900	+	0.400759i
$341$	−18.2230	−	13.2398i	−0.986829	−	0.716973i
$342$	0.371561	+	1.14355i	0.0200917	+	0.0618359i
$343$	−1.00000			−0.0539949
$344$	−2.78184	−	8.56164i	−0.149987	−	0.461613i
$345$	3.05704	−	0.440020i	0.164585	−	0.0236899i
$346$	5.66948	−	17.4489i	0.304793	−	0.938056i
$347$	7.51003	−	23.1135i	0.403159	−	1.24080i	−0.519263	−	0.854614i	$-0.673794\pi$
$347$	7.51003	−	23.1135i	0.403159	−	1.24080i	0.922422	−	0.386182i	$-0.126206\pi$
$348$	0.829402	−	0.602596i	0.0444606	−	0.0323025i
$349$	−4.65831			−0.249353			−0.124677	−	0.992197i	$-0.539789\pi$
$349$	−4.65831			−0.249353			−0.124677	+	0.992197i	$0.539789\pi$
$350$	4.79703	−	1.41015i	0.256412	−	0.0753758i
$351$	−18.3745			−0.980760
$352$	−2.36389	+	1.71747i	−0.125996	+	0.0915413i
$353$	−4.55163	+	14.0085i	−0.242259	+	0.745596i	0.753816	+	0.657085i	$0.228211\pi$
$353$	−4.55163	+	14.0085i	−0.242259	+	0.745596i	−0.996075	+	0.0885110i	$0.971789\pi$
$354$	1.22288	−	3.76362i	0.0649951	−	0.200034i
$355$	−1.86344	−	0.982865i	−0.0989009	−	0.0521650i
$356$	−3.89255	−	11.9800i	−0.206305	−	0.634940i
$357$	2.14259			0.113398
$358$	−3.17612	−	9.77511i	−0.167863	−	0.516630i
$359$	−11.3169	−	8.22222i	−0.597284	−	0.433952i	0.247630	−	0.968855i	$-0.420348\pi$
$359$	−11.3169	−	8.22222i	−0.597284	−	0.433952i	−0.844914	+	0.534902i	$0.820348\pi$
$360$	5.12621	+	2.70381i	0.270175	+	0.142503i
$361$	15.1972	−	11.0414i	0.799853	−	0.581127i
$362$	−4.63393	−	3.36675i	−0.243554	−	0.176952i
$363$	−1.27265	−	0.924633i	−0.0667967	−	0.0485306i
$364$	−4.16114	+	3.02324i	−0.218103	+	0.158461i
$365$	−12.9833	−	26.3963i	−0.679577	−	1.38165i
$366$	1.68332	+	1.22300i	0.0879886	+	0.0639275i
$367$	2.67169	+	8.22261i	0.139461	+	0.429217i	0.996257	−	0.0864383i	$-0.0275485\pi$
$367$	2.67169	+	8.22261i	0.139461	+	0.429217i	−0.856796	+	0.515655i	$0.827549\pi$
$368$	2.16203			0.112704
$369$	−0.772323	−	2.37697i	−0.0402055	−	0.123740i
$370$	4.11412	−	23.7952i	0.213883	−	1.23706i
$371$	−0.786424	+	2.42037i	−0.0408291	+	0.125659i
$372$	1.52188	−	4.68386i	0.0789057	−	0.242847i
$373$	−13.6440	+	9.91298i	−0.706462	+	0.513275i	−0.882030	−	0.471193i	$-0.843824\pi$
$373$	−13.6440	+	9.91298i	−0.706462	+	0.513275i	0.175568	+	0.984467i	$0.443824\pi$
$374$	9.79949			0.506720
$375$	4.83215	+	5.26005i	0.249531	+	0.271628i
$376$	−1.95012			−0.100570
$377$	6.67750	−	4.85148i	0.343908	−	0.249864i
$378$	1.10394	−	3.39757i	0.0567804	−	0.174752i
$379$	−10.3829	+	31.9552i	−0.533332	+	1.64143i	0.213893	+	0.976857i	$0.431385\pi$
$379$	−10.3829	+	31.9552i	−0.533332	+	1.64143i	−0.747226	+	0.664571i	$0.768615\pi$
$380$	−0.176731	+	1.02218i	−0.00906611	+	0.0524365i
$381$	−2.09305	−	6.44174i	−0.107230	−	0.330020i
$382$	21.0123			1.07508
$383$	−1.44450	−	4.44571i	−0.0738105	−	0.227165i	0.907344	−	0.420388i	$-0.138106\pi$
$383$	−1.44450	−	4.44571i	−0.0738105	−	0.227165i	−0.981155	+	0.193223i	$0.938106\pi$
$384$	−0.516849	−	0.375513i	−0.0263753	−	0.0191628i
$385$	−2.88369	−	5.86283i	−0.146966	−	0.298797i
$386$	−0.440852	+	0.320298i	−0.0224388	+	0.0163027i
$387$	18.8764	+	13.7145i	0.959542	+	0.697148i
$388$	−1.95316	−	1.41905i	−0.0991566	−	0.0720415i
$389$	−23.6969	+	17.2168i	−1.20148	+	0.872928i	−0.994430	−	0.105402i	$-0.966387\pi$
$389$	−23.6969	+	17.2168i	−1.20148	+	0.872928i	−0.207052	+	0.978330i	$0.566387\pi$
$390$	−6.49899	−	3.42787i	−0.329089	−	0.173577i
$391$	−5.86616	−	4.26201i	−0.296664	−	0.215539i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	−2.26361			−0.114184
$394$	−3.32518	−	10.2339i	−0.167520	−	0.515574i
$395$	25.1648	+	13.2731i	1.26618	+	0.667844i
$396$	2.34026	−	7.20257i	0.117602	−	0.361943i
$397$	10.2016	−	31.3974i	0.512006	−	1.57579i	−0.276659	−	0.960968i	$-0.589227\pi$
$397$	10.2016	−	31.3974i	0.512006	−	1.57579i	0.788665	−	0.614823i	$-0.210773\pi$
$398$	−2.25153	+	1.63583i	−0.112859	+	0.0819970i
$399$	0.296376			0.0148373
$400$	2.82350	+	4.12648i	0.141175	+	0.206324i
$401$	−1.71099			−0.0854428			−0.0427214	−	0.999087i	$-0.513603\pi$
$401$	−1.71099			−0.0854428			−0.0427214	+	0.999087i	$0.513603\pi$
$402$	3.74005	−	2.71730i	0.186537	−	0.135527i
$403$	12.2526	−	37.7096i	0.610345	−	1.87845i
$404$	−1.24352	+	3.82715i	−0.0618673	+	0.190408i
$405$	−12.1581	+	1.75000i	−0.604140	+	0.0869580i
$406$	0.495889	+	1.52619i	0.0246105	+	0.0757434i
$407$	−31.5552			−1.56413
$408$	0.662097	+	2.03773i	0.0327787	+	0.100882i
$409$	13.1674	+	9.56665i	0.651084	+	0.473040i	0.863640	−	0.504109i	$-0.168179\pi$
$409$	13.1674	+	9.56665i	0.651084	+	0.473040i	−0.212556	+	0.977149i	$0.568179\pi$
$410$	0.367351	−	2.12468i	0.0181422	−	0.104931i
$411$	−11.3283	+	8.23050i	−0.558784	+	0.405981i
$412$	−1.86754	−	1.35685i	−0.0920072	−	0.0668471i
$413$	5.01132	+	3.64093i	0.246591	+	0.179159i
$414$	−4.53348	+	3.29376i	−0.222808	+	0.161880i
$415$	−28.2055	+	4.05981i	−1.38455	+	0.199288i
$416$	−4.16114	−	3.02324i	−0.204016	−	0.148227i
$417$	3.96584	+	12.2056i	0.194208	+	0.597711i
$418$	1.35552			0.0663007
$419$	11.3846	+	35.0382i	0.556174	+	1.71173i	0.692823	+	0.721108i	$0.256367\pi$
$419$	11.3846	+	35.0382i	0.556174	+	1.71173i	−0.136649	+	0.990620i	$0.543633\pi$
$420$	1.02429	−	0.995759i	0.0499804	−	0.0485880i
$421$	−6.80512	+	20.9440i	−0.331661	+	1.02075i	0.636682	+	0.771126i	$0.280306\pi$
$421$	−6.80512	+	20.9440i	−0.331661	+	1.02075i	−0.968343	+	0.249622i	$0.919694\pi$
$422$	7.63712	−	23.5047i	0.371769	−	1.14419i
$423$	4.08913	−	2.97093i	0.198820	−	0.144451i
$424$	−2.54492			−0.123592
$425$	0.473649	−	16.7622i	0.0229753	−	0.813085i
$426$	−0.601915			−0.0291629
$427$	−2.63488	+	1.91435i	−0.127511	+	0.0926421i
$428$	−3.63950	+	11.2012i	−0.175922	+	0.541433i
$429$	−2.96696	+	9.13138i	−0.143246	+	0.440867i
$430$	8.88442	+	18.0629i	0.428445	+	0.871071i
$431$	12.4942	+	38.4533i	0.601826	+	1.85223i	0.517293	+	0.855808i	$0.326940\pi$
$431$	12.4942	+	38.4533i	0.601826	+	1.85223i	0.0845321	+	0.996421i	$0.473060\pi$
$432$	3.57242			0.171878
$433$	5.06117	+	15.5767i	0.243224	+	0.748567i	0.995923	+	0.0902024i	$0.0287514\pi$
$433$	5.06117	+	15.5767i	0.243224	+	0.748567i	−0.752699	+	0.658364i	$0.771249\pi$
$434$	6.23662	+	4.53117i	0.299367	+	0.217503i
$435$	−1.64371	+	1.59792i	−0.0788100	+	0.0766145i
$436$	−6.63858	+	4.82321i	−0.317930	+	0.230990i
$437$	−0.811440	−	0.589546i	−0.0388165	−	0.0282018i
$438$	−6.79939	−	4.94005i	−0.324888	−	0.236045i
$439$	−10.1206	+	7.35304i	−0.483029	+	0.350941i	−0.802497	−	0.596656i	$-0.796496\pi$
$439$	−10.1206	+	7.35304i	−0.483029	+	0.350941i	0.319468	+	0.947597i	$0.396496\pi$
$440$	4.68477	−	4.55426i	0.223338	−	0.217116i
$441$	2.09686	+	1.52346i	0.0998503	+	0.0725455i
$442$	5.33053	+	16.4057i	0.253547	+	0.780338i
$443$	−5.81650			−0.276350			−0.138175	−	0.990408i	$-0.544124\pi$
$443$	−5.81650			−0.276350			−0.138175	+	0.990408i	$0.544124\pi$
$444$	−2.13201	−	6.56165i	−0.101181	−	0.311402i
$445$	12.4317	+	25.2749i	0.589318	+	1.19814i
$446$	−0.241993	+	0.744778i	−0.0114587	+	0.0352662i
$447$	1.25657	−	3.86733i	0.0594338	−	0.182918i
$448$	0.809017	−	0.587785i	0.0382225	−	0.0277702i
$449$	−0.0777951			−0.00367138			−0.00183569	−	0.999998i	$-0.500584\pi$
$449$	−0.0777951			−0.00367138			−0.00183569	+	0.999998i	$0.500584\pi$
$450$	−12.2070	−	4.35117i	−0.575443	−	0.205116i
$451$	−2.81757			−0.132674
$452$	12.1766	−	8.84678i	0.572737	−	0.416118i
$453$	0.368670	−	1.13465i	0.0173216	−	0.0533105i
$454$	−2.78024	+	8.55670i	−0.130483	+	0.401586i
$455$	8.24656	−	8.01683i	0.386605	−	0.375835i
$456$	0.0915851	+	0.281870i	0.00428886	+	0.0131998i
$457$	20.6035			0.963792			0.481896	−	0.876228i	$-0.339948\pi$
$457$	20.6035			0.963792			0.481896	+	0.876228i	$0.339948\pi$
$458$	6.23006	+	19.1742i	0.291112	+	0.895950i
$459$	−9.69289	−	7.04229i	−0.452425	−	0.328706i
$460$	−4.78514	+	0.688757i	−0.223108	+	0.0321135i
$461$	−4.97983	+	3.61806i	−0.231934	+	0.168510i	−0.697682	−	0.716407i	$-0.745785\pi$
$461$	−4.97983	+	3.61806i	−0.231934	+	0.168510i	0.465748	+	0.884917i	$0.345785\pi$
$462$	−1.51020	−	1.09722i	−0.0702607	−	0.0510474i
$463$	5.73549	+	4.16708i	0.266551	+	0.193660i	0.713030	−	0.701134i	$-0.247322\pi$
$463$	5.73549	+	4.16708i	0.266551	+	0.193660i	−0.446479	+	0.894794i	$0.647322\pi$
$464$	−1.29825	+	0.943236i	−0.0602699	+	0.0437886i
$465$	−1.87618	+	10.8514i	−0.0870056	+	0.503222i
$466$	21.4762	+	15.6034i	0.994867	+	0.722813i
$467$	1.01777	+	3.13237i	0.0470968	+	0.144949i	0.971839	−	0.235644i	$-0.0757199\pi$
$467$	1.01777	+	3.13237i	0.0470968	+	0.144949i	−0.924743	+	0.380593i	$0.875720\pi$
$468$	13.3311			0.616229
$469$	2.23612	+	6.88208i	0.103255	+	0.317785i
$470$	4.31613	−	0.621250i	0.199088	−	0.0286561i
$471$	4.60675	−	14.1781i	0.212268	−	0.653293i
$472$	−1.91415	+	5.89115i	−0.0881060	+	0.271162i
$473$	21.2803	−	15.4611i	0.978470	−	0.710900i
$474$	8.12858			0.373358
$475$	0.0655178	−	2.31864i	0.00300616	−	0.106386i
$476$	−3.35377			−0.153720
$477$	5.33634	−	3.87708i	0.244334	−	0.177519i
$478$	2.82675	−	8.69985i	0.129293	−	0.397922i
$479$	7.45336	−	22.9391i	0.340553	−	1.04811i	−0.623369	−	0.781928i	$-0.714237\pi$
$479$	7.45336	−	22.9391i	0.340553	−	1.04811i	0.963922	−	0.266186i	$-0.0857635\pi$
$480$	1.26355	+	0.666454i	0.0576728	+	0.0304193i
$481$	−17.1648	−	52.8277i	−0.782646	−	2.40874i
$482$	−21.2818			−0.969360
$483$	0.426826	+	1.31363i	0.0194212	+	0.0597725i
$484$	1.99206	+	1.44732i	0.0905482	+	0.0657871i
$485$	4.77491	+	2.51852i	0.216818	+	0.114360i
$486$	−11.5096	+	8.36224i	−0.522088	+	0.379319i
$487$	25.5589	+	18.5696i	1.15819	+	0.841471i	0.989548	−	0.144207i	$-0.0460632\pi$
$487$	25.5589	+	18.5696i	1.15819	+	0.841471i	0.168638	+	0.985678i	$0.446063\pi$
$488$	−2.63488	−	1.91435i	−0.119276	−	0.0866588i
$489$	9.87734	−	7.17631i	0.446669	−	0.324524i
$490$	0.986912	+	2.00649i	0.0445841	+	0.0906440i
$491$	17.3578	+	12.6112i	0.783349	+	0.569136i	0.905982	−	0.423316i	$-0.139134\pi$
$491$	17.3578	+	12.6112i	0.783349	+	0.569136i	−0.122634	+	0.992452i	$0.539134\pi$
$492$	−0.190368	−	0.585892i	−0.00858244	−	0.0264140i
$493$	5.38190			0.242388
$494$	0.737349	+	2.26933i	0.0331749	+	0.102102i
$495$	−2.88508	+	16.6867i	−0.129675	+	0.750010i
$496$	−2.38218	+	7.33159i	−0.106963	+	0.329198i
$497$	0.291146	−	0.896057i	0.0130597	−	0.0401936i
$498$	−6.58665	+	4.78548i	−0.295155	+	0.214443i
$499$	43.3967			1.94270			0.971351	−	0.237648i	$-0.0763763\pi$
$499$	43.3967			1.94270			0.971351	+	0.237648i	$0.0763763\pi$
$500$	−7.56370	−	8.23350i	−0.338259	−	0.368213i
$501$	1.12456			0.0502415
$502$	−19.6170	+	14.2526i	−0.875548	+	0.636123i
$503$	−1.11075	+	3.41855i	−0.0495261	+	0.152426i	−0.972761	−	0.231810i	$-0.925535\pi$
$503$	−1.11075	+	3.41855i	−0.0495261	+	0.152426i	0.923235	+	0.384236i	$0.125535\pi$
$504$	−0.800928	+	2.46500i	−0.0356762	+	0.109800i
$505$	1.53301	−	8.86662i	0.0682181	−	0.394559i
$506$	1.95216	+	6.00812i	0.0867840	+	0.267094i
$507$	−8.59589			−0.381757
$508$	3.27622	+	10.0832i	0.145359	+	0.447369i
$509$	−29.0091	−	21.0764i	−1.28581	−	0.934193i	−0.286095	−	0.958201i	$-0.592357\pi$
$509$	−29.0091	−	21.0764i	−1.28581	−	0.934193i	−0.999712	+	0.0240079i	$0.992357\pi$
$510$	−2.11455	−	4.29909i	−0.0936338	−	0.190367i
$511$	10.6430	−	7.73260i	0.470819	−	0.342070i
$512$	0.809017	+	0.587785i	0.0357538	+	0.0259767i
$513$	−1.34078	−	0.974131i	−0.0591967	−	0.0430089i
$514$	7.62173	−	5.53751i	0.336180	−	0.244249i
$515$	4.56560	+	2.40811i	0.201184	+	0.106114i
$516$	4.65280	+	3.38045i	0.204828	+	0.148816i
$517$	−1.76082	−	5.41924i	−0.0774407	−	0.238338i
$518$	10.7994			0.474500
$519$	3.62200	+	11.1474i	0.158988	+	0.489316i
$520$	10.1728	+	5.36561i	0.446106	+	0.235297i
$521$	−2.55227	+	7.85507i	−0.111817	+	0.344137i	−0.991270	−	0.131849i	$-0.957909\pi$
$521$	−2.55227	+	7.85507i	−0.111817	+	0.344137i	0.879453	+	0.475986i	$0.157909\pi$
$522$	1.28527	−	3.95566i	0.0562548	−	0.173135i
$523$	−5.24395	+	3.80995i	−0.229302	+	0.166598i	−0.696504	−	0.717553i	$-0.745262\pi$
$523$	−5.24395	+	3.80995i	−0.229302	+	0.166598i	0.467202	+	0.884151i	$0.345262\pi$
$524$	3.54321			0.154786
$525$	−1.94981	+	2.53018i	−0.0850966	+	0.110426i
$526$	−9.56006			−0.416838
$527$	20.9162	−	15.1965i	0.911124	−	0.661970i
$528$	0.576844	−	1.77534i	0.0251039	−	0.0772619i
$529$	−5.66292	+	17.4287i	−0.246214	+	0.757769i
$530$	5.63257	−	0.810734i	0.244663	−	0.0352160i
$531$	−4.96121	−	15.2690i	−0.215298	−	0.662620i
$532$	−0.463913			−0.0201132
$533$	−1.53265	−	4.71700i	−0.0663863	−	0.204316i
$534$	6.51051	+	4.73016i	0.281737	+	0.204694i
$535$	4.48679	−	25.9507i	0.193981	−	1.12195i
$536$	−5.85425	+	4.25336i	−0.252865	+	0.183717i
$537$	5.31225	+	3.85958i	0.229241	+	0.166553i
$538$	20.5998	+	14.9666i	0.888118	+	0.645256i
$539$	2.36389	−	1.71747i	0.101820	−	0.0739766i
$540$	−7.90668	+	1.13806i	−0.340249	+	0.0489744i
$541$	0.768465	+	0.558322i	0.0330389	+	0.0240042i	0.604182	−	0.796846i	$-0.293500\pi$
$541$	0.768465	+	0.558322i	0.0330389	+	0.0240042i	−0.571143	+	0.820850i	$0.693500\pi$
$542$	7.94840	+	24.4627i	0.341413	+	1.05076i
$543$	3.65930			0.157035
$544$	−1.03637	−	3.18963i	−0.0444341	−	0.136754i
$545$	13.1564	−	12.7899i	0.563557	−	0.547857i
$546$	1.01541	−	3.12512i	0.0434556	−	0.133743i
$547$	−1.87831	+	5.78085i	−0.0803109	+	0.247171i	−0.983148	−	0.182811i	$-0.941480\pi$
$547$	−1.87831	+	5.78085i	−0.0803109	+	0.247171i	0.902837	+	0.429983i	$0.141480\pi$
$548$	17.7321	−	12.8831i	0.757476	−	0.550339i
$549$	8.44141			0.360270
$550$	−8.91776	+	11.5722i	−0.380255	+	0.493440i
$551$	0.744455			0.0317148
$552$	−1.11744	+	0.811871i	−0.0475616	+	0.0345555i
$553$	−3.93180	+	12.1008i	−0.167197	+	0.514580i
$554$	7.98058	−	24.5617i	0.339062	−	1.04353i
$555$	6.80903	+	13.8434i	0.289027	+	0.587621i
$556$	−6.20768	−	19.1053i	−0.263264	−	0.810244i
$557$	2.06794			0.0876213			0.0438107	−	0.999040i	$-0.486050\pi$
$557$	2.06794			0.0876213			0.0438107	+	0.999040i	$0.486050\pi$
$558$	−6.17426	−	19.0024i	−0.261377	−	0.804437i
$559$	37.4595	+	27.2159i	1.58437	+	1.15111i
$560$	−1.60331	+	1.55865i	−0.0677524	+	0.0658649i
$561$	−5.06485	+	3.67983i	−0.213838	+	0.155363i
$562$	−8.42541	−	6.12142i	−0.355404	−	0.258216i
$563$	−4.24575	−	3.08472i	−0.178937	−	0.130005i	0.494711	−	0.869057i	$-0.335274\pi$
$563$	−4.24575	−	3.08472i	−0.178937	−	0.130005i	−0.673648	+	0.739052i	$0.735274\pi$
$564$	1.00792	−	0.732296i	0.0424411	−	0.0308352i
$565$	−24.1315	+	23.4593i	−1.01522	+	0.986940i
$566$	−11.1488	−	8.10006i	−0.468618	−	0.340471i
$567$	−1.69752	−	5.22444i	−0.0712893	−	0.219406i
$568$	0.942170			0.0395326
$569$	2.50993	+	7.72476i	0.105222	+	0.323839i	0.989782	−	0.142586i	$-0.0455418\pi$
$569$	2.50993	+	7.72476i	0.105222	+	0.323839i	−0.884561	+	0.466425i	$0.845542\pi$
$570$	−0.292497	−	0.594675i	−0.0122513	−	0.0249082i
$571$	−7.95615	+	24.4865i	−0.332954	+	1.02473i	0.634767	+	0.772704i	$0.281096\pi$
$571$	−7.95615	+	24.4865i	−0.332954	+	1.02473i	−0.967721	+	0.252024i	$0.918904\pi$
$572$	4.64415	−	14.2932i	0.194182	−	0.597630i
$573$	−10.8602	+	7.89037i	−0.453690	+	0.329625i
$574$	0.964285			0.0402485
$575$	10.3713	−	3.04880i	0.432515	−	0.127144i
$576$	−2.59186			−0.107994
$577$	28.0616	−	20.3879i	1.16822	−	0.848760i	0.177424	−	0.984135i	$-0.443224\pi$
$577$	28.0616	−	20.3879i	1.16822	−	0.848760i	0.990795	+	0.135374i	$0.0432237\pi$
$578$	1.77753	−	5.47068i	0.0739356	−	0.227550i
$579$	0.107578	−	0.331091i	0.00447079	−	0.0137597i
$580$	2.57288	−	2.50121i	0.106833	−	0.103857i
$581$	−3.93807	−	12.1201i	−0.163379	−	0.502828i
$582$	1.54236			0.0639329
$583$	−2.29788	−	7.07214i	−0.0951684	−	0.292898i
$584$	10.6430	+	7.73260i	0.440411	+	0.319977i
$585$	−29.5051	+	4.24687i	−1.21989	+	0.175587i
$586$	−5.69832	+	4.14007i	−0.235395	+	0.171025i
$587$	32.8510	+	23.8676i	1.35591	+	0.985123i	0.998694	+	0.0511001i	$0.0162728\pi$
$587$	32.8510	+	23.8676i	1.35591	+	0.985123i	0.357212	+	0.934023i	$0.383727\pi$
$588$	0.516849	+	0.375513i	0.0213145	+	0.0154859i
$589$	2.89325	−	2.10207i	0.119214	−	0.0866142i
$590$	2.35977	−	13.6484i	0.0971503	−	0.561897i
$591$	5.56156	+	4.04071i	0.228772	+	0.166213i
$592$	3.33721	+	10.2709i	0.137158	+	0.422130i
$593$	7.76394			0.318827			0.159413	−	0.987212i	$-0.449040\pi$
$593$	7.76394			0.318827			0.159413	+	0.987212i	$0.449040\pi$
$594$	3.22563	+	9.92746i	0.132349	+	0.407329i
$595$	7.42276	−	1.06841i	0.304304	−	0.0438005i
$596$	−1.96689	+	6.05348i	−0.0805671	+	0.247960i
$597$	0.549426	−	1.69096i	0.0224865	−	0.0692063i
$598$	−8.99652	+	6.53635i	−0.367895	+	0.267291i
$599$	−33.3017			−1.36067			−0.680336	−	0.732901i	$-0.738166\pi$
$599$	−33.3017			−1.36067			−0.680336	+	0.732901i	$0.738166\pi$
$600$	−3.00887	−	1.07251i	−0.122836	−	0.0437850i
$601$	8.51771			0.347445			0.173722	−	0.984795i	$-0.444420\pi$
$601$	8.51771			0.347445			0.173722	+	0.984795i	$0.444420\pi$
$602$	−7.28296	+	5.29138i	−0.296831	+	0.215661i
$603$	5.79571	−	17.8374i	0.236020	−	0.726394i
$604$	−0.577075	+	1.77605i	−0.0234808	+	0.0722666i
$605$	−4.87001	−	2.56868i	−0.197994	−	0.104432i
$606$	−0.794433	−	2.44501i	−0.0322716	−	0.0993219i
$607$	11.2286			0.455755			0.227877	−	0.973690i	$-0.426821\pi$
$607$	11.2286			0.455755			0.227877	+	0.973690i	$0.426821\pi$
$608$	−0.143357	−	0.441207i	−0.00581389	−	0.0178933i
$609$	−0.829402	−	0.602596i	−0.0336091	−	0.0244184i
$610$	6.44153	+	3.39757i	0.260810	+	0.137564i
$611$	8.11473	−	5.89570i	0.328287	−	0.238514i
$612$	7.03238	+	5.10932i	0.284267	+	0.206532i
$613$	13.1703	+	9.56875i	0.531941	+	0.386478i	0.821083	−	0.570808i	$-0.193370\pi$
$613$	13.1703	+	9.56875i	0.531941	+	0.386478i	−0.289142	+	0.957286i	$0.593370\pi$
$614$	−25.7111	+	18.6802i	−1.03761	+	0.753871i
$615$	0.607980	+	1.23609i	0.0245161	+	0.0498438i
$616$	2.36389	+	1.71747i	0.0952439	+	0.0691987i
$617$	−9.33307	−	28.7242i	−0.375735	−	1.15639i	−0.942981	−	0.332846i	$-0.891991\pi$
$617$	−9.33307	−	28.7242i	−0.375735	−	1.15639i	0.567246	−	0.823548i	$-0.308009\pi$
$618$	1.47475			0.0593231
$619$	4.62498	+	14.2342i	0.185893	+	0.572121i	0.999963	−	0.00864669i	$-0.00275236\pi$
$619$	4.62498	+	14.2342i	0.185893	+	0.572121i	−0.814069	+	0.580768i	$0.802752\pi$
$620$	2.93676	−	16.9856i	0.117943	−	0.682157i
$621$	2.38675	−	7.34566i	0.0957769	−	0.294771i
$622$	−8.37869	+	25.7869i	−0.335955	+	1.03396i
$623$	−10.1908	+	7.40407i	−0.408287	+	0.296638i
$624$	3.28594			0.131543
$625$	19.3634	+	15.8133i	0.774534	+	0.632532i
$626$	−19.7608			−0.789800
$627$	−0.700600	+	0.509015i	−0.0279793	+	0.0203281i
$628$	−7.21089	+	22.1928i	−0.287746	+	0.885590i
$629$	11.1922	−	34.4462i	0.446264	−	1.37346i
$630$	0.987387	−	5.71084i	0.0393384	−	0.227525i
$631$	−0.143461	−	0.441526i	−0.00571107	−	0.0175769i	0.948160	−	0.317792i	$-0.102941\pi$
$631$	−0.143461	−	0.441526i	−0.00571107	−	0.0175769i	−0.953871	+	0.300215i	$0.902941\pi$
$632$	−12.7236			−0.506116
$633$	4.87905	+	15.0162i	0.193925	+	0.596840i
$634$	3.36428	+	2.44429i	0.133613	+	0.0970753i
$635$	−10.4633	−	21.2730i	−0.415224	−	0.844192i
$636$	1.31534	−	0.955651i	0.0521566	−	0.0378940i
$637$	4.16114	+	3.02324i	0.164870	+	0.119785i
$638$	−3.79341	−	2.75607i	−0.150182	−	0.109114i
$639$	−1.97560	+	1.43535i	−0.0781533	+	0.0567817i
$640$	−1.97781	−	1.04319i	−0.0781800	−	0.0412358i
$641$	36.6811	+	26.6504i	1.44881	+	1.05263i	0.986106	+	0.166115i	$0.0531224\pi$
$641$	36.6811	+	26.6504i	1.44881	+	1.05263i	0.462709	+	0.886510i	$0.346878\pi$
$642$	−2.32513	−	7.15603i	−0.0917657	−	0.282426i
$643$	−38.4182			−1.51507			−0.757534	−	0.652796i	$-0.773596\pi$
$643$	−38.4182			−1.51507			−0.757534	+	0.652796i	$0.773596\pi$
$644$	−0.668105	−	2.05622i	−0.0263270	−	0.0810263i
$645$	−11.3747	−	5.99958i	−0.447880	−	0.236233i
$646$	−0.480787	+	1.47971i	−0.0189163	+	0.0582184i
$647$	−8.04107	+	24.7479i	−0.316127	+	0.972940i	0.659161	+	0.752002i	$0.270912\pi$
$647$	−8.04107	+	24.7479i	−0.316127	+	0.972940i	−0.975288	+	0.220938i	$0.929088\pi$
$648$	4.44417	−	3.22888i	0.174584	−	0.126842i
$649$	−18.0994			−0.710463
$650$	−24.2243	−	8.63474i	−0.950156	−	0.338682i
$651$	−4.92490			−0.193022
$652$	−15.4609	+	11.2330i	−0.605495	+	0.439918i
$653$	2.74098	−	8.43588i	0.107263	−	0.330121i	−0.882992	−	0.469388i	$-0.844475\pi$
$653$	2.74098	−	8.43588i	0.107263	−	0.330121i	0.990255	+	0.139267i	$0.0444745\pi$
$654$	1.61996	−	4.98574i	0.0633456	−	0.194958i
$655$	−7.84204	+	1.12876i	−0.306414	+	0.0441042i
$656$	0.297980	+	0.917089i	0.0116342	+	0.0358063i
$657$	−34.0971			−1.33026
$658$	0.602622	+	1.85468i	0.0234926	+	0.0723029i
$659$	−33.8129	−	24.5665i	−1.31716	−	0.956975i	−0.999963	−	0.00861711i	$-0.997257\pi$
$659$	−33.8129	−	24.5665i	−1.31716	−	0.956975i	−0.317201	−	0.948358i	$-0.602743\pi$
$660$	−0.711135	+	4.11306i	−0.0276809	+	0.160100i
$661$	21.3560	−	15.5160i	0.830652	−	0.603504i	−0.0890914	−	0.996023i	$-0.528396\pi$
$661$	21.3560	−	15.5160i	0.830652	−	0.603504i	0.919744	+	0.392519i	$0.128396\pi$
$662$	3.71712	+	2.70064i	0.144470	+	0.104964i
$663$	−8.91561	−	6.47757i	−0.346254	−	0.251568i
$664$	10.3100	−	7.49066i	0.400106	−	0.290694i
$665$	1.02676	−	0.147788i	0.0398160	−	0.00573099i
$666$	−22.6449	−	16.4525i	−0.877471	−	0.637520i
$667$	1.07213	+	3.29967i	0.0415130	+	0.127764i
$668$	−1.76025			−0.0681063
$669$	−0.154600	−	0.475809i	−0.00597717	−	0.0183958i
$670$	11.6020	−	11.2788i	0.448223	−	0.435737i
$671$	2.94074	−	9.05065i	0.113526	−	0.349397i
$672$	−0.197419	+	0.607592i	−0.00761559	+	0.0234384i
$673$	33.3416	−	24.2241i	1.28523	−	0.933771i	0.285528	−	0.958370i	$-0.407831\pi$
$673$	33.3416	−	24.2241i	1.28523	−	0.933771i	0.999697	+	0.0245992i	$0.00783097\pi$
$674$	−5.30612			−0.204384
$675$	17.1370	−	5.03765i	0.659602	−	0.193899i
$676$	13.4550			0.517502
$677$	19.1365	−	13.9035i	0.735474	−	0.534353i	−0.155816	−	0.987786i	$-0.549801\pi$
$677$	19.1365	−	13.9035i	0.735474	−	0.534353i	0.891291	+	0.453433i	$0.149801\pi$
$678$	−2.97136	+	9.14490i	−0.114114	+	0.351208i
$679$	−0.746040	+	2.29608i	−0.0286304	+	0.0881153i
$680$	3.30988	+	6.72931i	0.126928	+	0.258057i
$681$	−1.77618	−	5.46653i	−0.0680635	−	0.209478i
$682$	−22.5248			−0.862520
$683$	−4.52884	−	13.9383i	−0.173291	−	0.533336i	0.826260	−	0.563289i	$-0.190464\pi$
$683$	−4.52884	−	13.9383i	−0.173291	−	0.533336i	−0.999551	+	0.0299533i	$0.990464\pi$
$684$	0.972759	+	0.706751i	0.0371944	+	0.0270233i
$685$	−35.1415	+	34.1625i	−1.34269	+	1.30528i
$686$	−0.809017	+	0.587785i	−0.0308884	+	0.0224417i
$687$	−10.4201	−	7.57068i	−0.397553	−	0.288839i
$688$	−7.28296	−	5.29138i	−0.277660	−	0.201732i
$689$	10.5898	−	7.69392i	0.403438	−	0.293115i
$690$	2.21456	−	2.15286i	0.0843067	−	0.0819581i
$691$	27.6667	+	20.1010i	1.05249	+	0.764680i	0.972685	−	0.232131i	$-0.0745697\pi$
$691$	27.6667	+	20.1010i	1.05249	+	0.764680i	0.0798067	+	0.996810i	$0.474570\pi$
$692$	−5.66948	−	17.4489i	−0.215521	−	0.663306i
$693$	−7.57323			−0.287683
$694$	−7.51003	−	23.1135i	−0.285077	−	0.877376i
$695$	19.8255	+	40.3073i	0.752026	+	1.52894i
$696$	0.316803	−	0.975021i	0.0120084	−	0.0369581i
$697$	0.999358	−	3.07571i	0.0378534	−	0.116501i
$698$	−3.76865	+	2.73808i	−0.142645	+	0.103638i
$699$	−16.9592			−0.641457
$700$	3.05201	−	3.96046i	0.115355	−	0.149691i
$701$	15.7191			0.593701			0.296850	−	0.954924i	$-0.404064\pi$
$701$	15.7191			0.593701			0.296850	+	0.954924i	$0.404064\pi$
$702$	−14.8653	+	10.8003i	−0.561055	+	0.407630i
$703$	1.54817	−	4.76479i	0.0583905	−	0.179708i
$704$	−0.902926	+	2.77892i	−0.0340303	+	0.104735i
$705$	−1.99750	+	1.94185i	−0.0752302	+	0.0731344i
$706$	4.55163	+	14.0085i	0.171303	+	0.527216i
$707$	4.02410			0.151342
$708$	−1.22288	−	3.76362i	−0.0459585	−	0.141446i
$709$	−37.7103	−	27.3982i	−1.41624	−	1.02896i	−0.992378	−	0.123234i	$-0.960673\pi$
$709$	−37.7103	−	27.3982i	−1.41624	−	1.02896i	−0.423864	−	0.905726i	$-0.639327\pi$
$710$	−2.08527	+	0.300146i	−0.0782586	+	0.0112643i
$711$	26.6795	−	19.3838i	1.00056	−	0.726949i
$712$	−10.1908	−	7.40407i	−0.381917	−	0.277479i
$713$	13.4838	+	9.79654i	0.504972	+	0.366883i
$714$	1.73339	−	1.25938i	0.0648706	−	0.0471312i
$715$	−5.72533	+	33.1141i	−0.214115	+	1.23840i
$716$	−8.31520	−	6.04135i	−0.310754	−	0.225776i
$717$	1.80590	+	5.55799i	0.0674426	+	0.207567i
$718$	−13.9885			−0.522046
$719$	−7.08536	−	21.8065i	−0.264239	−	0.813245i	−0.991868	−	0.127273i	$-0.959377\pi$
$719$	−7.08536	−	21.8065i	−0.264239	−	0.813245i	0.727628	−	0.685971i	$-0.240623\pi$
$720$	5.73645	−	0.825686i	0.213785	−	0.0307715i
$721$	−0.713337	+	2.19543i	−0.0265661	+	0.0817620i
$722$	5.80482	−	17.8654i	0.216033	−	0.664881i
$723$	10.9995	−	7.99159i	0.409075	−	0.297210i
$724$	−5.72785			−0.212874
$725$	−4.89765	+	6.35546i	−0.181894	+	0.236036i
$726$	−1.57308			−0.0583824
$727$	−16.2723	+	11.8225i	−0.603506	+	0.438473i	−0.847121	−	0.531399i	$-0.821666\pi$
$727$	−16.2723	+	11.8225i	−0.603506	+	0.438473i	0.243616	+	0.969872i	$0.421666\pi$
$728$	−1.58941	+	4.89171i	−0.0589075	+	0.181299i
$729$	−2.28395	+	7.02928i	−0.0845909	+	0.260344i
$730$	−26.0191	−	13.7237i	−0.963010	−	0.507937i
$731$	9.32967	+	28.7138i	0.345070	+	1.06202i
$732$	2.08070			0.0769049
$733$	−14.4984	−	44.6215i	−0.535510	−	1.64813i	−0.742544	−	0.669798i	$-0.766381\pi$
$733$	−14.4984	−	44.6215i	−0.535510	−	1.64813i	0.207033	−	0.978334i	$-0.433619\pi$
$734$	6.99457	+	5.08185i	0.258174	+	0.187575i
$735$	−1.26355	−	0.666454i	−0.0466066	−	0.0245825i
$736$	1.74912	−	1.27081i	0.0644735	−	0.0468427i
$737$	−17.1057	−	12.4280i	−0.630097	−	0.457792i
$738$	−2.02197	−	1.46905i	−0.0744296	−	0.0540763i
$739$	24.0527	−	17.4753i	0.884794	−	0.642840i	−0.0497217	−	0.998763i	$-0.515833\pi$
$739$	24.0527	−	17.4753i	0.884794	−	0.642840i	0.934515	+	0.355923i	$0.115833\pi$
$740$	−10.6581	−	21.6690i	−0.391799	−	0.796567i
$741$	−1.23326	−	0.896015i	−0.0453049	−	0.0329159i
$742$	0.786424	+	2.42037i	0.0288706	+	0.0888544i
$743$	−24.7292			−0.907227			−0.453613	−	0.891199i	$-0.649865\pi$
$743$	−24.7292			−0.907227			−0.453613	+	0.891199i	$0.649865\pi$
$744$	−1.52188	−	4.68386i	−0.0557948	−	0.171719i
$745$	2.42479	−	14.0245i	0.0888376	−	0.513818i
$746$	−5.21156	+	16.0395i	−0.190809	+	0.587249i
$747$	−10.2069	+	31.4137i	−0.373452	+	1.14937i
$748$	7.92795	−	5.76000i	0.289875	−	0.210606i
$749$	11.7777			0.430347
$750$	7.00107	+	1.41521i	0.255643	+	0.0516761i
$751$	−8.69824			−0.317403			−0.158702	−	0.987327i	$-0.550731\pi$
$751$	−8.69824			−0.317403			−0.158702	+	0.987327i	$0.550731\pi$
$752$	−1.57768	+	1.14625i	−0.0575322	+	0.0417996i
$753$	4.78699	−	14.7328i	0.174448	−	0.536895i
$754$	2.55058	−	7.84987i	0.0928865	−	0.285875i
$755$	0.711420	−	4.11470i	0.0258912	−	0.149749i
$756$	−1.10394	−	3.39757i	−0.0401498	−	0.123568i
$757$	−18.1495			−0.659656			−0.329828	−	0.944041i	$-0.606991\pi$
$757$	−18.1495			−0.659656			−0.329828	+	0.944041i	$0.606991\pi$
$758$	10.3829	+	31.9552i	0.377123	+	1.16066i
$759$	−3.26510	−	2.37223i	−0.118515	−	0.0861065i
$760$	0.457841	+	0.930837i	0.0166076	+	0.0337650i
$761$	12.2049	−	8.86741i	0.442429	−	0.321443i	−0.344171	−	0.938907i	$-0.611840\pi$
$761$	12.2049	−	8.86741i	0.442429	−	0.321443i	0.786599	+	0.617464i	$0.211840\pi$
$762$	−5.47967	−	3.98121i	−0.198508	−	0.144224i
$763$	6.63858	+	4.82321i	0.240333	+	0.174612i
$764$	16.9993	−	12.3507i	0.615012	−	0.446832i
$765$	−17.1921	−	9.06795i	−0.621583	−	0.327853i
$766$	−3.78175	−	2.74760i	−0.136640	−	0.0992749i
$767$	−9.84534	−	30.3008i	−0.355495	−	1.09410i
$768$	−0.638860			−0.0230529
$769$	8.55620	+	26.3333i	0.308545	+	0.949603i	0.978331	+	0.207049i	$0.0663858\pi$
$769$	8.55620	+	26.3333i	0.308545	+	0.949603i	−0.669786	+	0.742554i	$0.733614\pi$
$770$	−5.77904	−	3.04814i	−0.208262	−	0.109847i
$771$	−1.85988	+	5.72411i	−0.0669818	+	0.206149i
$772$	−0.168391	+	0.518253i	−0.00606051	+	0.0186523i
$773$	−5.69768	+	4.13960i	−0.204931	+	0.148891i	−0.685517	−	0.728056i	$-0.740424\pi$
$773$	−5.69768	+	4.13960i	−0.204931	+	0.148891i	0.480586	+	0.876947i	$0.340424\pi$
$774$	23.3325			0.838670
$775$	−1.08872	+	38.5291i	−0.0391078	+	1.38400i
$776$	−2.41424			−0.0866661
$777$	−5.58167	+	4.05532i	−0.200241	+	0.145484i
$778$	−9.05142	+	27.8574i	−0.324509	+	0.998737i
$779$	0.138237	−	0.425450i	0.00495285	−	0.0152433i
$780$	−7.27264	+	1.04680i	−0.260402	+	0.0374815i
$781$	0.850710	+	2.61822i	0.0304408	+	0.0936871i
$782$	−7.25097			−0.259294
$783$	1.77152	+	5.45218i	0.0633089	+	0.194845i
$784$	−0.809017	−	0.587785i	−0.0288935	−	0.0209923i
$785$	8.88961	−	51.4156i	0.317284	−	1.83510i
$786$	−1.83130	+	1.33052i	−0.0653204	+	0.0474581i
$787$	−40.4149	−	29.3631i	−1.44063	−	1.04668i	−0.987910	−	0.155032i	$-0.950452\pi$
$787$	−40.4149	−	29.3631i	−1.44063	−	1.04668i	−0.452725	−	0.891650i	$-0.649548\pi$
$788$	−8.70544	−	6.32487i	−0.310118	−	0.225314i
$789$	4.94110	−	3.58992i	0.175908	−	0.127805i
$790$	28.1605	−	4.05334i	1.00191	−	0.144211i
$791$	−12.1766	−	8.84678i	−0.432948	−	0.314555i
$792$	−2.34026	−	7.20257i	−0.0831574	−	0.255932i
$793$	16.7517			0.594869
$794$	−10.2016	−	31.3974i	−0.362043	−	1.11425i
$795$	−2.60675	+	2.53413i	−0.0924518	+	0.0898763i
$796$	−0.860009	+	2.64684i	−0.0304822	+	0.0938146i
$797$	10.1196	−	31.1449i	0.358454	−	1.10321i	−0.595525	−	0.803337i	$-0.703056\pi$
$797$	10.1196	−	31.1449i	0.358454	−	1.10321i	0.953979	−	0.299873i	$-0.0969442\pi$
$798$	0.239773	−	0.174205i	0.00848787	−	0.00616680i
$799$	6.54027			0.231378
$800$	4.70974	+	1.67878i	0.166515	+	0.0593540i
$801$	32.6485			1.15358
$802$	−1.38422	+	1.00570i	−0.0488785	+	0.0355123i
$803$	−11.8784	+	36.5580i	−0.419181	+	1.29011i
$804$	1.42857	−	4.39669i	0.0503818	−	0.155059i
$805$	2.13374	+	4.33810i	0.0752043	+	0.152898i
$806$	−12.2526	−	37.7096i	−0.431579	−	1.32826i
$807$	−16.2671			−0.572629
$808$	1.24352	+	3.82715i	0.0437468	+	0.134639i
$809$	−8.71403	−	6.33112i	−0.306369	−	0.222590i	0.423968	−	0.905677i	$-0.360637\pi$
$809$	−8.71403	−	6.33112i	−0.306369	−	0.222590i	−0.730337	+	0.683087i	$0.760637\pi$
$810$	−8.80748	+	8.56212i	−0.309463	+	0.300842i
$811$	−2.13314	+	1.54982i	−0.0749048	+	0.0544216i	−0.624607	−	0.780939i	$-0.714741\pi$
$811$	−2.13314	+	1.54982i	−0.0749048	+	0.0544216i	0.549703	+	0.835360i	$0.314741\pi$
$812$	1.29825	+	0.943236i	0.0455597	+	0.0331011i
$813$	−13.2942	−	9.65877i	−0.466247	−	0.338748i
$814$	−25.5287	+	18.5477i	−0.894780	+	0.650096i
$815$	30.6404	−	29.7869i	1.07329	−	1.04339i
$816$	1.73339	+	1.25938i	0.0606809	+	0.0440872i
$817$	1.29053	+	3.97186i	0.0451501	+	0.138958i
$818$	16.2758			0.569068
$819$	−4.11953	−	12.6786i	−0.143948	−	0.443027i
$820$	−0.951664	−	1.93483i	−0.0332336	−	0.0675671i
$821$	0.525926	−	1.61863i	0.0183550	−	0.0564907i	−0.941460	−	0.337126i	$-0.890545\pi$
$821$	0.525926	−	1.61863i	0.0183550	−	0.0564907i	0.959814	+	0.280635i	$0.0905451\pi$
$822$	−4.32703	+	13.3172i	−0.150922	+	0.464492i
$823$	−29.8400	+	21.6800i	−1.04016	+	0.755717i	−0.970316	−	0.241841i	$-0.922249\pi$
$823$	−29.8400	+	21.6800i	−1.04016	+	0.755717i	−0.0698399	+	0.997558i	$0.522249\pi$
$824$	−2.30841			−0.0804172
$825$	0.263632	−	9.32980i	0.00917850	−	0.324822i
$826$	6.19433			0.215528
$827$	−45.0026	+	32.6963i	−1.56489	+	1.13696i	−0.633045	+	0.774115i	$0.718195\pi$
$827$	−45.0026	+	32.6963i	−1.56489	+	1.13696i	−0.931849	+	0.362847i	$0.881805\pi$
$828$	−1.73163	+	5.32942i	−0.0601784	+	0.185210i
$829$	−7.41585	+	22.8236i	−0.257563	+	0.792698i	0.735751	+	0.677252i	$0.236830\pi$
$829$	−7.41585	+	22.8236i	−0.257563	+	0.792698i	−0.993314	+	0.115445i	$0.963170\pi$
$830$	−20.4324	+	19.8632i	−0.709220	+	0.689462i
$831$	5.09848	+	15.6915i	0.176864	+	0.544332i
$832$	−5.14345			−0.178317
$833$	1.03637	+	3.18963i	0.0359082	+	0.110514i
$834$	10.3827	+	7.54347i	0.359523	+	0.261209i
$835$	3.89590	−	0.560763i	0.134823	−	0.0194060i
$836$	1.09664	−	0.796756i	0.0379281	−	0.0275564i
$837$	22.2798	+	16.1872i	0.770102	+	0.559512i
$838$	29.8053	+	21.6548i	1.02961	+	0.748052i
$839$	−6.47669	+	4.70559i	−0.223600	+	0.162455i	−0.693946	−	0.720027i	$-0.744129\pi$
$839$	−6.47669	+	4.70559i	−0.223600	+	0.162455i	0.470346	+	0.882482i	$0.344129\pi$
$840$	0.243378	−	1.40765i	0.00839735	−	0.0485685i
$841$	21.3781	+	15.5321i	0.737178	+	0.535591i
$842$	6.80512	+	20.9440i	0.234520	+	0.721778i
$843$	6.65333			0.229153
$844$	−7.63712	−	23.5047i	−0.262881	−	0.809063i
$845$	−29.7795	+	4.28636i	−1.02445	+	0.147455i
$846$	1.56191	−	4.80706i	0.0536996	−	0.165270i
$847$	0.760899	−	2.34181i	0.0261448	−	0.0804654i
$848$	−2.05889	+	1.49587i	−0.0707024	+	0.0513683i
$849$	8.80391			0.302149
$850$	−9.46937	−	13.8393i	−0.324797	−	0.474684i
$851$	23.3487			0.800385
$852$	−0.486959	+	0.353797i	−0.0166829	+	0.0121209i
$853$	−0.578636	+	1.78086i	−0.0198121	+	0.0609754i	−0.960474	−	0.278370i	$-0.910206\pi$
$853$	−0.578636	+	1.78086i	−0.0198121	+	0.0609754i	0.940662	+	0.339346i	$0.110206\pi$
$854$	−1.00644	+	3.09749i	−0.0344395	+	0.105994i
$855$	−2.37812	−	1.25433i	−0.0813299	−	0.0428972i
$856$	3.63950	+	11.2012i	0.124396	+	0.382851i
$857$	−28.9784			−0.989882			−0.494941	−	0.868927i	$-0.664810\pi$
$857$	−28.9784			−0.989882			−0.494941	+	0.868927i	$0.664810\pi$
$858$	2.96696	+	9.13138i	0.101290	+	0.311740i
$859$	−0.410883	−	0.298524i	−0.0140192	−	0.0101855i	0.580754	−	0.814079i	$-0.302758\pi$
$859$	−0.410883	−	0.298524i	−0.0140192	−	0.0101855i	−0.594773	+	0.803894i	$0.702758\pi$
$860$	17.8048	+	9.39107i	0.607137	+	0.320233i
$861$	−0.498389	+	0.362101i	−0.0169851	+	0.0123404i
$862$	32.7103	+	23.7654i	1.11412	+	0.809454i
$863$	−10.3647	−	7.53041i	−0.352819	−	0.256338i	0.397232	−	0.917718i	$-0.369971\pi$
$863$	−10.3647	−	7.53041i	−0.352819	−	0.256338i	−0.750051	+	0.661380i	$0.769971\pi$
$864$	2.89014	−	2.09981i	0.0983247	−	0.0714371i
$865$	18.1067	+	36.8127i	0.615646	+	1.25167i
$866$	13.2503	+	9.62691i	0.450264	+	0.327136i
$867$	1.13559	+	3.49500i	0.0385668	+	0.118696i
$868$	7.70889			0.261657
$869$	−11.4884	−	35.3578i	−0.389719	−	1.19943i
$870$	−0.390556	+	2.25890i	−0.0132411	+	0.0765838i
$871$	11.5014	−	35.3976i	0.389709	−	1.19940i
$872$	−2.53571	+	7.80412i	−0.0858700	+	0.264281i
$873$	5.06231	−	3.67798i	0.171333	−	0.124481i
$874$	−1.00300			−0.0339268
$875$	−5.49321	+	9.73780i	−0.185704	+	0.329198i
$876$	−8.40451			−0.283962
$877$	1.50689	−	1.09482i	0.0508840	−	0.0369694i	−0.562053	−	0.827102i	$-0.689988\pi$
$877$	1.50689	−	1.09482i	0.0508840	−	0.0369694i	0.612937	+	0.790132i	$0.289988\pi$
$878$	−3.86572	+	11.8975i	−0.130462	+	0.401520i
$879$	1.39052	−	4.27958i	0.0469011	−	0.144347i
$880$	1.11313	−	6.43812i	0.0375236	−	0.217029i
$881$	−14.2743	−	43.9319i	−0.480914	−	1.48010i	−0.837812	−	0.545959i	$-0.816165\pi$
$881$	−14.2743	−	43.9319i	−0.480914	−	1.48010i	0.356898	−	0.934144i	$-0.383835\pi$
$882$	2.59186			0.0872724
$883$	11.7091	+	36.0369i	0.394042	+	1.21274i	0.929705	+	0.368305i	$0.120062\pi$
$883$	11.7091	+	36.0369i	0.394042	+	1.21274i	−0.535663	+	0.844432i	$0.679938\pi$
$884$	13.9555	+	10.1393i	0.469374	+	0.341020i
$885$	3.90551	+	7.94030i	0.131282	+	0.266910i
$886$	−4.70565	+	3.41885i	−0.158089	+	0.114859i
$887$	−22.1796	−	16.1144i	−0.744719	−	0.541070i	0.149467	−	0.988767i	$-0.452244\pi$
$887$	−22.1796	−	16.1144i	−0.744719	−	0.541070i	−0.894185	+	0.447697i	$0.852244\pi$
$888$	−5.58167	−	4.05532i	−0.187309	−	0.136088i
$889$	8.57726	−	6.23174i	0.287672	−	0.209006i
$890$	24.9136	+	13.1406i	0.835107	+	0.440475i
$891$	12.9856	+	9.43456i	0.435033	+	0.316070i
$892$	0.241993	+	0.744778i	0.00810252	+	0.0249370i
$893$	0.904688			0.0302742
$894$	−1.25657	−	3.86733i	−0.0420260	−	0.129343i
$895$	20.3283	+	10.7221i	0.679499	+	0.358400i
$896$	0.309017	−	0.951057i	0.0103235	−	0.0317726i
$897$	2.19536	−	6.75661i	0.0733008	−	0.225597i
$898$	−0.0629375	+	0.0457268i	−0.00210025	+	0.00152592i
$899$	−12.3707			−0.412585
$900$	−12.4332	+	3.65491i	−0.414440	+	0.121830i
$901$	8.53509			0.284345
$902$	−2.27946	+	1.65613i	−0.0758979	+	0.0551430i
$903$	1.77721	−	5.46969i	0.0591418	−	0.182020i
$904$	4.65103	−	14.3144i	0.154691	−	0.476090i
$905$	12.6772	−	1.82472i	0.421405	−	0.0606556i
$906$	−0.368670	−	1.13465i	−0.0122482	−	0.0376962i
$907$	−14.3148			−0.475316			−0.237658	−	0.971349i	$-0.576380\pi$
$907$	−14.3148			−0.475316			−0.237658	+	0.971349i	$0.576380\pi$
$908$	2.78024	+	8.55670i	0.0922655	+	0.283964i
$909$	−8.43797	−	6.13054i	−0.279870	−	0.203337i
$910$	1.95943	−	11.3330i	0.0649546	−	0.375684i
$911$	−32.1304	+	23.3441i	−1.06453	+	0.773424i	−0.974920	−	0.222554i	$-0.928561\pi$
$911$	−32.1304	+	23.3441i	−1.06453	+	0.773424i	−0.0896060	+	0.995977i	$0.528561\pi$
$912$	0.239773	+	0.174205i	0.00793967	+	0.00576851i
$913$	30.1251	+	21.8872i	0.996996	+	0.724360i
$914$	16.6686	−	12.1104i	0.551348	−	0.400578i
$915$	−4.60513	+	0.662847i	−0.152241	+	0.0219130i
$916$	16.3105	+	11.8503i	0.538915	+	0.391545i
$917$	−1.09491	−	3.36979i	−0.0361572	−	0.111280i
$918$	−11.9811			−0.395434
$919$	−4.85390	−	14.9388i	−0.160115	−	0.492784i	0.838528	−	0.544859i	$-0.183417\pi$
$919$	−4.85390	−	14.9388i	−0.160115	−	0.492784i	−0.998643	+	0.0520745i	$0.983417\pi$
$920$	−3.46642	+	3.36985i	−0.114284	+	0.111101i
$921$	6.27409	−	19.3097i	0.206738	−	0.636275i
$922$	−1.90212	+	5.85414i	−0.0626431	+	0.192796i
$923$	−3.92050	+	2.84841i	−0.129045	+	0.0937565i
$924$	−1.86671			−0.0614101
$925$	30.4922	+	44.5637i	1.00258	+	1.46524i
$926$	7.08945			0.232974
$927$	4.84040	−	3.51676i	0.158980	−	0.115505i
$928$	−0.495889	+	1.52619i	−0.0162783	+	0.0500996i
$929$	1.55171	−	4.77568i	0.0509100	−	0.156685i	−0.922369	−	0.386309i	$-0.873750\pi$
$929$	1.55171	−	4.77568i	0.0509100	−	0.156685i	0.973279	+	0.229624i	$0.0737497\pi$
$930$	4.86044	+	9.88177i	0.159380	+	0.324036i
$931$	0.143357	+	0.441207i	0.00469834	+	0.0144600i
$932$	26.5461			0.869546
$933$	−5.35281	−	16.4743i	−0.175243	−	0.539343i
$934$	2.66456	+	1.93591i	0.0871870	+	0.0633450i
$935$	−15.7117	+	15.2740i	−0.513826	+	0.499512i
$936$	10.7851	−	7.83581i	0.352521	−	0.256122i
$937$	22.7734	+	16.5458i	0.743974	+	0.540529i	0.893953	−	0.448160i	$-0.147921\pi$
$937$	22.7734	+	16.5458i	0.743974	+	0.540529i	−0.149979	+	0.988689i	$0.547921\pi$
$938$	5.85425	+	4.25336i	0.191148	+	0.138877i
$939$	10.2133	−	7.42043i	0.333300	−	0.242157i
$940$	3.12666	−	3.03956i	0.101980	−	0.0991395i
$941$	26.9552	+	19.5841i	0.878716	+	0.638424i	0.932911	−	0.360106i	$-0.117259\pi$
$941$	26.9552	+	19.5841i	0.878716	+	0.638424i	−0.0541957	+	0.998530i	$0.517259\pi$
$942$	−4.60675	−	14.1781i	−0.150096	−	0.461948i
$943$	2.08482			0.0678910
$944$	1.91415	+	5.89115i	0.0623004	+	0.191741i
$945$	3.52566	+	7.16802i	0.114690	+	0.233176i
$946$	8.12836	−	25.0165i	0.264276	−	0.813357i
$947$	16.9632	−	52.2075i	0.551231	−	1.69652i	−0.154463	−	0.987999i	$-0.549365\pi$
$947$	16.9632	−	52.2075i	0.551231	−	1.69652i	0.705694	−	0.708517i	$-0.250635\pi$
$948$	6.57616	−	4.77786i	0.213584	−	0.155178i
$949$	−67.6645			−2.19648
$950$	−1.30986	−	1.91433i	−0.0424974	−	0.0621090i
$951$	−2.65669			−0.0861490
$952$	−2.71326	+	1.97130i	−0.0879372	+	0.0638901i
$953$	−8.78097	+	27.0250i	−0.284443	+	0.875427i	0.702121	+	0.712057i	$0.252236\pi$
$953$	−8.78097	+	27.0250i	−0.284443	+	0.875427i	−0.986565	+	0.163370i	$0.947764\pi$
$954$	2.03830	−	6.27324i	0.0659924	−	0.203104i
$955$	−33.6892	+	32.7507i	−1.09016	+	1.05979i
$956$	−2.82675	−	8.69985i	−0.0914237	−	0.281373i
$957$	2.99556			0.0968326
$958$	−7.45336	−	22.9391i	−0.240807	−	0.741128i
$959$	−17.7321	−	12.8831i	−0.572598	−	0.416017i
$960$	1.41396	−	0.203521i	0.0456355	−	0.00656862i
$961$	−22.9979	+	16.7089i	−0.741867	+	0.538998i
$962$	−44.9379	−	32.6493i	−1.44886	−	1.05266i
$963$	−24.6961	−	17.9428i	−0.795821	−	0.578198i
$964$	−17.2174	+	12.5091i	−0.554534	+	0.402892i
$965$	0.207592	−	1.20067i	0.00668264	−	0.0386510i
$966$	1.11744	+	0.811871i	0.0359532	+	0.0261215i
$967$	−5.53847	−	17.0456i	−0.178105	−	0.548151i	0.821657	−	0.569983i	$-0.193050\pi$
$967$	−5.53847	−	17.0456i	−0.178105	−	0.548151i	−0.999762	+	0.0218318i	$0.993050\pi$
$968$	2.46232			0.0791420
$969$	−0.307155	−	0.945327i	−0.00986726	−	0.0303683i
$970$	5.34333	−	0.769102i	0.171564	−	0.0246944i
$971$	−3.06994	+	9.44830i	−0.0985190	+	0.303210i	−0.988155	−	0.153460i	$-0.950958\pi$
$971$	−3.06994	+	9.44830i	−0.0985190	+	0.303210i	0.889636	+	0.456671i	$0.150958\pi$
$972$	−4.39629	+	13.5304i	−0.141011	+	0.433988i
$973$	−16.2519	+	11.8077i	−0.521012	+	0.378538i
$974$	31.5926			1.01229
$975$	15.7628	−	4.63368i	0.504812	−	0.148397i
$976$	−3.25689			−0.104251
$977$	−12.1193	+	8.80519i	−0.387731	+	0.281703i	−0.764525	−	0.644594i	$-0.777026\pi$
$977$	−12.1193	+	8.80519i	−0.387731	+	0.281703i	0.376794	+	0.926297i	$0.377026\pi$
$978$	3.77281	−	11.6115i	0.120641	−	0.371295i
$979$	11.3738	−	35.0048i	0.363507	−	1.11876i
$980$	1.97781	+	1.04319i	0.0631790	+	0.0333236i
$981$	−6.57220	−	20.2272i	−0.209834	−	0.645803i
$982$	21.4555			0.684672
$983$	4.51197	+	13.8864i	0.143909	+	0.442908i	0.996869	−	0.0790690i	$-0.0251947\pi$
$983$	4.51197	+	13.8864i	0.143909	+	0.442908i	−0.852960	+	0.521977i	$0.825195\pi$
$984$	−0.498389	−	0.362101i	−0.0158881	−	0.0115434i
$985$	21.2823	+	11.2253i	0.678110	+	0.357668i
$986$	4.35404	−	3.16340i	0.138661	−	0.100743i
$987$	−1.00792	−	0.732296i	−0.0320824	−	0.0233093i
$988$	1.93040	+	1.40252i	0.0614144	+	0.0446201i
$989$	−15.7460	+	11.4402i	−0.500694	+	0.363776i
$990$	7.47411	+	15.1956i	0.237543	+	0.482948i
$991$	13.0237	+	9.46226i	0.413711	+	0.300579i	0.775102	−	0.631836i	$-0.217698\pi$
$991$	13.0237	+	9.46226i	0.413711	+	0.300579i	−0.361392	+	0.932414i	$0.617698\pi$
$992$	2.38218	+	7.33159i	0.0756342	+	0.232778i
$993$	−2.93531			−0.0931494
$994$	−0.291146	−	0.896057i	−0.00923460	−	0.0284212i
$995$	1.06022	−	6.13211i	0.0336113	−	0.194401i
$996$	−2.51588	+	7.74308i	−0.0797187	+	0.245349i
$997$	−2.85500	+	8.78679i	−0.0904187	+	0.278280i	−0.986033	−	0.166552i	$-0.946737\pi$
$997$	−2.85500	+	8.78679i	−0.0904187	+	0.278280i	0.895614	+	0.444832i	$0.146737\pi$
$998$	35.1087	−	25.5079i	1.11135	−	0.807440i
$999$	38.5801			1.22062

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.b.211.1	yes	12
25.4	even	10		8750.2.a.q.1.5		6
25.16	even	5	inner	350.2.h.b.141.1	✓	12
25.21	even	5		8750.2.a.p.1.2		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.b.141.1	✓	12	25.16	even	5	inner
350.2.h.b.211.1	yes	12	1.1	even	1	trivial
8750.2.a.p.1.2		6	25.21	even	5
8750.2.a.q.1.5		6	25.4	even	10

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

\(f(q)\)	\(=\)	\(q+(0.809017 - 0.587785i) q^{2} +(-0.197419 + 0.607592i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.380957 + 2.20338i) q^{5} +(0.197419 + 0.607592i) q^{6} -1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.09686 + 1.52346i) q^{9} +O(q^{10})\)	\(q+(0.809017 - 0.587785i) q^{2} +(-0.197419 + 0.607592i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.380957 + 2.20338i) q^{5} +(0.197419 + 0.607592i) q^{6} -1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.09686 + 1.52346i) q^{9} +(0.986912 + 2.00649i) q^{10} +(2.36389 - 1.71747i) q^{11} +(0.516849 + 0.375513i) q^{12} +(4.16114 + 3.02324i) q^{13} +(-0.809017 + 0.587785i) q^{14} +(-1.26355 - 0.666454i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(1.03637 + 3.18963i) q^{17} +2.59186 q^{18} +(0.143357 + 0.441207i) q^{19} +(1.97781 + 1.04319i) q^{20} +(0.197419 - 0.607592i) q^{21} +(0.902926 - 2.77892i) q^{22} +(-1.74912 + 1.27081i) q^{23} +0.638860 q^{24} +(-4.70974 - 1.67878i) q^{25} +5.14345 q^{26} +(-2.89014 + 2.09981i) q^{27} +(-0.309017 + 0.951057i) q^{28} +(0.495889 - 1.52619i) q^{29} +(-1.41396 + 0.203521i) q^{30} +(-2.38218 - 7.33159i) q^{31} -1.00000 q^{32} +(0.576844 + 1.77534i) q^{33} +(2.71326 + 1.97130i) q^{34} +(0.380957 - 2.20338i) q^{35} +(2.09686 - 1.52346i) q^{36} +(-8.73693 - 6.34775i) q^{37} +(0.375313 + 0.272681i) q^{38} +(-2.65838 + 1.93143i) q^{39} +(2.21326 - 0.318569i) q^{40} +(-0.780123 - 0.566792i) q^{41} +(-0.197419 - 0.607592i) q^{42} +9.00224 q^{43} +(-0.902926 - 2.77892i) q^{44} +(-4.15556 + 4.03980i) q^{45} +(-0.668105 + 2.05622i) q^{46} +(0.602622 - 1.85468i) q^{47} +(0.516849 - 0.375513i) q^{48} +1.00000 q^{49} +(-4.79703 + 1.41015i) q^{50} -2.14259 q^{51} +(4.16114 - 3.02324i) q^{52} +(0.786424 - 2.42037i) q^{53} +(-1.10394 + 3.39757i) q^{54} +(2.88369 + 5.86283i) q^{55} +(0.309017 + 0.951057i) q^{56} -0.296376 q^{57} +(-0.495889 - 1.52619i) q^{58} +(-5.01132 - 3.64093i) q^{59} +(-1.02429 + 0.995759i) q^{60} +(2.63488 - 1.91435i) q^{61} +(-6.23662 - 4.53117i) q^{62} +(-2.09686 - 1.52346i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-8.24656 + 8.01683i) q^{65} +(1.51020 + 1.09722i) q^{66} +(-2.23612 - 6.88208i) q^{67} +3.35377 q^{68} +(-0.426826 - 1.31363i) q^{69} +(-0.986912 - 2.00649i) q^{70} +(-0.291146 + 0.896057i) q^{71} +(0.800928 - 2.46500i) q^{72} +(-10.6430 + 7.73260i) q^{73} -10.7994 q^{74} +(1.94981 - 2.53018i) q^{75} +0.463913 q^{76} +(-2.36389 + 1.71747i) q^{77} +(-1.01541 + 3.12512i) q^{78} +(3.93180 - 12.1008i) q^{79} +(1.60331 - 1.55865i) q^{80} +(1.69752 + 5.22444i) q^{81} -0.964285 q^{82} +(3.93807 + 12.1201i) q^{83} +(-0.516849 - 0.375513i) q^{84} +(-7.42276 + 1.06841i) q^{85} +(7.28296 - 5.29138i) q^{86} +(0.829402 + 0.602596i) q^{87} +(-2.36389 - 1.71747i) q^{88} +(10.1908 - 7.40407i) q^{89} +(-0.987387 + 5.71084i) q^{90} +(-4.16114 - 3.02324i) q^{91} +(0.668105 + 2.05622i) q^{92} +4.92490 q^{93} +(-0.602622 - 1.85468i) q^{94} +(-1.02676 + 0.147788i) q^{95} +(0.197419 - 0.607592i) q^{96} +(0.746040 - 2.29608i) q^{97} +(0.809017 - 0.587785i) q^{98} +7.57323 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 3 q^{2} + q^{3} - 3 q^{4} - 5 q^{5} - q^{6} - 12 q^{7} + 3 q^{8} + 6 q^{9}+O(q^{10}) \) 12 * q + 3 * q^2 + q^3 - 3 * q^4 - 5 * q^5 - q^6 - 12 * q^7 + 3 * q^8 + 6 * q^9	\( 12 q + 3 q^{2} + q^{3} - 3 q^{4} - 5 q^{5} - q^{6} - 12 q^{7} + 3 q^{8} + 6 q^{9} + 7 q^{11} - 4 q^{12} + 3 q^{13} - 3 q^{14} - 10 q^{15} - 3 q^{16} + 4 q^{17} - 6 q^{18} + 4 q^{19} + 5 q^{20} - q^{21} - 2 q^{22} - q^{23} - 6 q^{24} - 5 q^{25} + 12 q^{26} + 10 q^{27} + 3 q^{28} + 22 q^{29} + 15 q^{30} + 31 q^{31} - 12 q^{32} - 21 q^{33} + 6 q^{34} + 5 q^{35} + 6 q^{36} + 9 q^{37} - 4 q^{38} - 20 q^{39} - 19 q^{41} + q^{42} + 50 q^{43} + 2 q^{44} - 25 q^{45} + 16 q^{46} - 24 q^{47} - 4 q^{48} + 12 q^{49} - 58 q^{51} + 3 q^{52} + 35 q^{53} + 25 q^{54} - 10 q^{55} - 3 q^{56} - 44 q^{57} - 22 q^{58} + q^{59} - 5 q^{60} + 8 q^{61} + 19 q^{62} - 6 q^{63} - 3 q^{64} - 25 q^{65} - 14 q^{66} - 36 q^{67} + 4 q^{68} - 31 q^{69} + q^{71} + 9 q^{72} - 31 q^{73} - 14 q^{74} + 55 q^{75} - 16 q^{76} - 7 q^{77} - 30 q^{78} + 2 q^{79} - 8 q^{81} - 6 q^{82} - 19 q^{83} + 4 q^{84} + 20 q^{85} + 10 q^{86} + 28 q^{87} - 7 q^{88} + 40 q^{89} + 20 q^{90} - 3 q^{91} - 16 q^{92} + 50 q^{93} + 24 q^{94} - q^{96} + 28 q^{97} + 3 q^{98} - 24 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 + q^3 - 3 * q^4 - 5 * q^5 - q^6 - 12 * q^7 + 3 * q^8 + 6 * q^9 + 7 * q^11 - 4 * q^12 + 3 * q^13 - 3 * q^14 - 10 * q^15 - 3 * q^16 + 4 * q^17 - 6 * q^18 + 4 * q^19 + 5 * q^20 - q^21 - 2 * q^22 - q^23 - 6 * q^24 - 5 * q^25 + 12 * q^26 + 10 * q^27 + 3 * q^28 + 22 * q^29 + 15 * q^30 + 31 * q^31 - 12 * q^32 - 21 * q^33 + 6 * q^34 + 5 * q^35 + 6 * q^36 + 9 * q^37 - 4 * q^38 - 20 * q^39 - 19 * q^41 + q^42 + 50 * q^43 + 2 * q^44 - 25 * q^45 + 16 * q^46 - 24 * q^47 - 4 * q^48 + 12 * q^49 - 58 * q^51 + 3 * q^52 + 35 * q^53 + 25 * q^54 - 10 * q^55 - 3 * q^56 - 44 * q^57 - 22 * q^58 + q^59 - 5 * q^60 + 8 * q^61 + 19 * q^62 - 6 * q^63 - 3 * q^64 - 25 * q^65 - 14 * q^66 - 36 * q^67 + 4 * q^68 - 31 * q^69 + q^71 + 9 * q^72 - 31 * q^73 - 14 * q^74 + 55 * q^75 - 16 * q^76 - 7 * q^77 - 30 * q^78 + 2 * q^79 - 8 * q^81 - 6 * q^82 - 19 * q^83 + 4 * q^84 + 20 * q^85 + 10 * q^86 + 28 * q^87 - 7 * q^88 + 40 * q^89 + 20 * q^90 - 3 * q^91 - 16 * q^92 + 50 * q^93 + 24 * q^94 - q^96 + 28 * q^97 + 3 * q^98 - 24 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more