LMFDB - Embedded newform 430.2.k.b.41.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 5 x^{17} + 17 x^{16} - 43 x^{15} + 90 x^{14} - 114 x^{13} + 135 x^{12} + 2 x^{11} + 313 x^{10} + \cdots + 169 $ x^18 - 5x^17 + 17x^16 - 43x^15 + 90x^14 - 114x^13 + 135x^12 + 2x^11 + 313x^10 - 632x^9 + 2382x^8 - 1755x^7 + 2203x^6 - 3817x^5 + 4882x^4 - 4217x^3 + 2612x^2 - 871*x + 169
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			41.3
Root			$1.28772 + 1.61475i$ of defining polynomial
Character	$\chi$	$=$	430.41
Dual form			430.2.k.b.21.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.900969 + 0.433884i) q^{2} +(1.86081 + 0.896118i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.222521 - 0.974928i) q^{5} -2.06534 q^{6} +1.71068 q^{7} +(-0.222521 + 0.974928i) q^{8} +(0.789110 + 0.989513i) q^{9} +O(q^{10})$	\(q+(-0.900969 + 0.433884i) q^{2} +(1.86081 + 0.896118i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.222521 - 0.974928i) q^{5} -2.06534 q^{6} +1.71068 q^{7} +(-0.222521 + 0.974928i) q^{8} +(0.789110 + 0.989513i) q^{9} +(0.222521 + 0.974928i) q^{10} +(1.15005 + 1.44211i) q^{11} +(1.86081 - 0.896118i) q^{12} +(-0.0681153 + 0.298433i) q^{13} +(-1.54127 + 0.742235i) q^{14} +(1.28772 - 1.61475i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(0.777642 + 3.40707i) q^{17} +(-1.14030 - 0.549138i) q^{18} +(4.50842 - 5.65338i) q^{19} +(-0.623490 - 0.781831i) q^{20} +(3.18324 + 1.53297i) q^{21} +(-1.66187 - 0.800313i) q^{22} +(2.14506 + 2.68982i) q^{23} +(-1.28772 + 1.61475i) q^{24} +(-0.900969 - 0.433884i) q^{25} +(-0.0681153 - 0.298433i) q^{26} +(-0.797083 - 3.49225i) q^{27} +(1.06659 - 1.33746i) q^{28} +(1.94318 - 0.935786i) q^{29} +(-0.459582 + 2.01356i) q^{30} +(-7.13102 + 3.43412i) q^{31} +(0.623490 + 0.781831i) q^{32} +(0.847713 + 3.71407i) q^{33} +(-2.17890 - 2.73226i) q^{34} +(0.380661 - 1.66779i) q^{35} +1.26563 q^{36} +9.07890 q^{37} +(-1.60904 + 7.04965i) q^{38} +(-0.394180 + 0.494286i) q^{39} +(0.900969 + 0.433884i) q^{40} +(-8.44541 + 4.06709i) q^{41} -3.53313 q^{42} +(-6.52593 - 0.642076i) q^{43} +1.84453 q^{44} +(1.14030 - 0.549138i) q^{45} +(-3.09971 - 1.49274i) q^{46} +(2.29440 - 2.87709i) q^{47} +(0.459582 - 2.01356i) q^{48} -4.07359 q^{49} +1.00000 q^{50} +(-1.60610 + 7.03676i) q^{51} +(0.190855 + 0.239324i) q^{52} +(1.31116 + 5.74455i) q^{53} +(2.23338 + 2.80056i) q^{54} +(1.66187 - 0.800313i) q^{55} +(-0.380661 + 1.66779i) q^{56} +(13.4554 - 6.47978i) q^{57} +(-1.34472 + 1.68623i) q^{58} +(0.744246 + 3.26075i) q^{59} +(-0.459582 - 2.01356i) q^{60} +(-0.422480 - 0.203456i) q^{61} +(4.93482 - 6.18807i) q^{62} +(1.34991 + 1.69274i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(0.275793 + 0.132815i) q^{65} +(-2.37524 - 2.97846i) q^{66} +(2.52198 - 3.16247i) q^{67} +(3.14861 + 1.51629i) q^{68} +(1.58115 + 6.92748i) q^{69} +(0.380661 + 1.66779i) q^{70} +(-3.40578 + 4.27072i) q^{71} +(-1.14030 + 0.549138i) q^{72} +(1.35087 - 5.91853i) q^{73} +(-8.17980 + 3.93919i) q^{74} +(-1.28772 - 1.61475i) q^{75} +(-1.60904 - 7.04965i) q^{76} +(1.96736 + 2.46699i) q^{77} +(0.140681 - 0.616365i) q^{78} -2.70149 q^{79} -1.00000 q^{80} +(2.49114 - 10.9144i) q^{81} +(5.84440 - 7.32865i) q^{82} +(-5.99425 - 2.88668i) q^{83} +(3.18324 - 1.53297i) q^{84} +3.49469 q^{85} +(6.15824 - 2.25300i) q^{86} +4.45446 q^{87} +(-1.66187 + 0.800313i) q^{88} +(-8.64185 - 4.16170i) q^{89} +(-0.789110 + 0.989513i) q^{90} +(-0.116523 + 0.510521i) q^{91} +3.44041 q^{92} -16.3468 q^{93} +(-0.818863 + 3.58767i) q^{94} +(-4.50842 - 5.65338i) q^{95} +(0.459582 + 2.01356i) q^{96} +(-3.83269 - 4.80604i) q^{97} +(3.67018 - 1.76746i) q^{98} +(-0.519476 + 2.27597i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−0.900969	+	0.433884i	−0.637081	+	0.306802i
$2$	−0.900969	+	0.433884i	−0.637081	+	0.306802i
$3$	1.86081	+	0.896118i	1.07434	+	0.517374i	0.885502	−	0.464635i	$-0.153814\pi$
$3$	1.86081	+	0.896118i	1.07434	+	0.517374i	0.188836	+	0.982009i	$0.439529\pi$
$4$	0.623490	−	0.781831i	0.311745	−	0.390916i
$5$	0.222521	−	0.974928i	0.0995144	−	0.436001i
$5$	0.222521	−	0.974928i	0.0995144	−	0.436001i
$6$	−2.06534			−0.843172
$7$	1.71068			0.646575			0.323287	−	0.946301i	$-0.395212\pi$
$7$	1.71068			0.646575			0.323287	+	0.946301i	$0.395212\pi$
$8$	−0.222521	+	0.974928i	−0.0786730	+	0.344689i
$9$	0.789110	+	0.989513i	0.263037	+	0.329838i
$10$	0.222521	+	0.974928i	0.0703673	+	0.308299i
$11$	1.15005	+	1.44211i	0.346752	+	0.434814i	0.924372	−	0.381492i	$-0.124590\pi$
$11$	1.15005	+	1.44211i	0.346752	+	0.434814i	−0.577620	+	0.816306i	$0.696018\pi$
$12$	1.86081	−	0.896118i	0.537169	−	0.258687i
$13$	−0.0681153	+	0.298433i	−0.0188918	+	0.0827703i	−0.983495	−	0.180935i	$-0.942088\pi$
$13$	−0.0681153	+	0.298433i	−0.0188918	+	0.0827703i	0.964603	+	0.263706i	$0.0849447\pi$
$14$	−1.54127	+	0.742235i	−0.411921	+	0.198371i
$15$	1.28772	−	1.61475i	0.332488	−	0.416926i
$16$	−0.222521	−	0.974928i	−0.0556302	−	0.243732i
$17$	0.777642	+	3.40707i	0.188606	+	0.826336i	0.977353	+	0.211618i	$0.0678731\pi$
$17$	0.777642	+	3.40707i	0.188606	+	0.826336i	−0.788747	+	0.614718i	$0.789270\pi$
$18$	−1.14030	−	0.549138i	−0.268771	−	0.129433i
$19$	4.50842	−	5.65338i	1.03430	−	1.29697i	0.0804299	−	0.996760i	$-0.474371\pi$
$19$	4.50842	−	5.65338i	1.03430	−	1.29697i	0.953872	−	0.300213i	$-0.0970579\pi$
$20$	−0.623490	−	0.781831i	−0.139417	−	0.174823i
$21$	3.18324	+	1.53297i	0.694640	+	0.334521i
$22$	−1.66187	−	0.800313i	−0.354311	−	0.170627i
$23$	2.14506	+	2.68982i	0.447277	+	0.560867i	0.953445	−	0.301568i	$-0.0975099\pi$
$23$	2.14506	+	2.68982i	0.447277	+	0.560867i	−0.506168	+	0.862435i	$0.668939\pi$
$24$	−1.28772	+	1.61475i	−0.262855	+	0.329609i
$25$	−0.900969	−	0.433884i	−0.180194	−	0.0867767i
$26$	−0.0681153	−	0.298433i	−0.0133585	−	0.0585274i
$27$	−0.797083	−	3.49225i	−0.153399	−	0.672083i
$28$	1.06659	−	1.33746i	0.201566	−	0.252756i
$29$	1.94318	−	0.935786i	0.360840	−	0.173771i	−0.244675	−	0.969605i	$-0.578681\pi$
$29$	1.94318	−	0.935786i	0.360840	−	0.173771i	0.605515	+	0.795834i	$0.292967\pi$
$30$	−0.459582	+	2.01356i	−0.0839077	+	0.367624i
$31$	−7.13102	+	3.43412i	−1.28077	+	0.616786i	−0.945588	−	0.325367i	$-0.894512\pi$
$31$	−7.13102	+	3.43412i	−1.28077	+	0.616786i	−0.335182	+	0.942153i	$0.608798\pi$
$32$	0.623490	+	0.781831i	0.110218	+	0.138210i
$33$	0.847713	+	3.71407i	0.147568	+	0.646537i
$34$	−2.17890	−	2.73226i	−0.373679	−	0.468578i
$35$	0.380661	−	1.66779i	0.0643435	−	0.281907i
$36$	1.26563			0.210939
$37$	9.07890			1.49256			0.746281	−	0.665631i	$-0.231838\pi$
$37$	9.07890			1.49256			0.746281	+	0.665631i	$0.231838\pi$
$38$	−1.60904	+	7.04965i	−0.261020	+	1.14360i
$39$	−0.394180	+	0.494286i	−0.0631193	+	0.0791492i
$40$	0.900969	+	0.433884i	0.142456	+	0.0686030i
$41$	−8.44541	+	4.06709i	−1.31895	+	0.635173i	−0.955100	−	0.296284i	$-0.904253\pi$
$41$	−8.44541	+	4.06709i	−1.31895	+	0.635173i	−0.363851	+	0.931457i	$0.618538\pi$
$42$	−3.53313			−0.545174
$43$	−6.52593	−	0.642076i	−0.995195	−	0.0979157i
$43$	−6.52593	−	0.642076i	−0.995195	−	0.0979157i
$44$	1.84453			0.278074
$45$	1.14030	−	0.549138i	0.169985	−	0.0818607i
$46$	−3.09971	−	1.49274i	−0.457027	−	0.220092i
$47$	2.29440	−	2.87709i	0.334673	−	0.419667i	−0.585810	−	0.810448i	$-0.699224\pi$
$47$	2.29440	−	2.87709i	0.334673	−	0.419667i	0.920484	+	0.390781i	$0.127795\pi$
$48$	0.459582	−	2.01356i	0.0663349	−	0.290632i
$49$	−4.07359			−0.581941
$50$	1.00000			0.141421
$51$	−1.60610	+	7.03676i	−0.224898	+	0.985344i
$52$	0.190855	+	0.239324i	0.0264668	+	0.0331883i
$53$	1.31116	+	5.74455i	0.180101	+	0.789074i	0.981580	+	0.191051i	$0.0611897\pi$
$53$	1.31116	+	5.74455i	0.180101	+	0.789074i	−0.801479	+	0.598023i	$0.795953\pi$
$54$	2.23338	+	2.80056i	0.303924	+	0.381109i
$55$	1.66187	−	0.800313i	0.224086	−	0.107914i
$56$	−0.380661	+	1.66779i	−0.0508680	+	0.222867i
$57$	13.4554	−	6.47978i	1.78221	−	0.858267i
$58$	−1.34472	+	1.68623i	−0.176571	+	0.221413i
$59$	0.744246	+	3.26075i	0.0968925	+	0.424514i	0.999988	−	0.00492621i	$-0.00156807\pi$
$59$	0.744246	+	3.26075i	0.0968925	+	0.424514i	−0.903095	+	0.429440i	$0.858711\pi$
$60$	−0.459582	−	2.01356i	−0.0593317	−	0.259949i
$61$	−0.422480	−	0.203456i	−0.0540930	−	0.0260498i	0.406642	−	0.913588i	$-0.366700\pi$
$61$	−0.422480	−	0.203456i	−0.0540930	−	0.0260498i	−0.460735	+	0.887538i	$0.652414\pi$
$62$	4.93482	−	6.18807i	0.626723	−	0.785886i
$63$	1.34991	+	1.69274i	0.170073	+	0.213265i
$64$	−0.900969	−	0.433884i	−0.112621	−	0.0542355i
$65$	0.275793	+	0.132815i	0.0342079	+	0.0164737i
$66$	−2.37524	−	2.97846i	−0.292372	−	0.366623i
$67$	2.52198	−	3.16247i	0.308109	−	0.386357i	−0.603535	−	0.797336i	$-0.706242\pi$
$67$	2.52198	−	3.16247i	0.308109	−	0.386357i	0.911645	+	0.410979i	$0.134813\pi$
$68$	3.14861	+	1.51629i	0.381825	+	0.183877i
$69$	1.58115	+	6.92748i	0.190348	+	0.833970i
$70$	0.380661	+	1.66779i	0.0454977	+	0.199339i
$71$	−3.40578	+	4.27072i	−0.404192	+	0.506841i	−0.941717	−	0.336407i	$-0.890788\pi$
$71$	−3.40578	+	4.27072i	−0.404192	+	0.506841i	0.537524	+	0.843248i	$0.319360\pi$
$72$	−1.14030	+	0.549138i	−0.134385	+	0.0647165i
$73$	1.35087	−	5.91853i	0.158107	−	0.692712i	−0.832276	−	0.554361i	$-0.812963\pi$
$73$	1.35087	−	5.91853i	0.158107	−	0.692712i	0.990383	−	0.138351i	$-0.0441801\pi$
$74$	−8.17980	+	3.93919i	−0.950883	+	0.457921i
$75$	−1.28772	−	1.61475i	−0.148693	−	0.186455i
$76$	−1.60904	−	7.04965i	−0.184569	−	0.808650i
$77$	1.96736	+	2.46699i	0.224201	+	0.281139i
$78$	0.140681	−	0.616365i	0.0159290	−	0.0697896i
$79$	−2.70149			−0.303941			−0.151971	−	0.988385i	$-0.548562\pi$
$79$	−2.70149			−0.303941			−0.151971	+	0.988385i	$0.548562\pi$
$80$	−1.00000			−0.111803
$81$	2.49114	−	10.9144i	0.276793	−	1.21271i
$82$	5.84440	−	7.32865i	0.645406	−	0.809314i
$83$	−5.99425	−	2.88668i	−0.657954	−	0.316854i	0.0749485	−	0.997187i	$-0.476121\pi$
$83$	−5.99425	−	2.88668i	−0.657954	−	0.316854i	−0.732903	+	0.680333i	$0.761835\pi$
$84$	3.18324	−	1.53297i	0.347320	−	0.167260i
$85$	3.49469			0.379052
$86$	6.15824	−	2.25300i	0.664061	−	0.242948i
$87$	4.45446			0.477568
$88$	−1.66187	+	0.800313i	−0.177156	+	0.0853136i
$89$	−8.64185	−	4.16170i	−0.916034	−	0.441139i	−0.0843807	−	0.996434i	$-0.526891\pi$
$89$	−8.64185	−	4.16170i	−0.916034	−	0.441139i	−0.831654	+	0.555295i	$0.812605\pi$
$90$	−0.789110	+	0.989513i	−0.0831795	+	0.104304i
$91$	−0.116523	+	0.510521i	−0.0122149	+	0.0535172i
$92$	3.44041			0.358688
$93$	−16.3468			−1.69509
$94$	−0.818863	+	3.58767i	−0.0844593	+	0.370040i
$95$	−4.50842	−	5.65338i	−0.462554	−	0.580024i
$96$	0.459582	+	2.01356i	0.0469059	+	0.205508i
$97$	−3.83269	−	4.80604i	−0.389150	−	0.487979i	0.548210	−	0.836341i	$-0.315310\pi$
$97$	−3.83269	−	4.80604i	−0.389150	−	0.487979i	−0.937360	+	0.348362i	$0.886738\pi$
$98$	3.67018	−	1.76746i	0.370744	−	0.178541i
$99$	−0.519476	+	2.27597i	−0.0522093	+	0.228744i
$100$	−0.900969	+	0.433884i	−0.0900969	+	0.0433884i
$101$	−5.07098	+	6.35881i	−0.504582	+	0.632726i	−0.967256	−	0.253803i	$-0.918319\pi$
$101$	−5.07098	+	6.35881i	−0.504582	+	0.632726i	0.462674	+	0.886528i	$0.346890\pi$
$102$	−1.60610	−	7.03676i	−0.159027	−	0.696743i
$103$	−0.976462	−	4.27816i	−0.0962137	−	0.421540i	0.903765	−	0.428028i	$-0.140792\pi$
$103$	−0.976462	−	4.27816i	−0.0962137	−	0.421540i	−0.999979	+	0.00648870i	$0.997935\pi$
$104$	−0.275793	−	0.132815i	−0.0270437	−	0.0130236i
$105$	2.20287	−	2.76231i	0.214978	−	0.269574i
$106$	−3.67378	−	4.60677i	−0.356829	−	0.447449i
$107$	−15.8855	−	7.65006i	−1.53571	−	0.739560i	−0.540880	−	0.841100i	$-0.681909\pi$
$107$	−15.8855	−	7.65006i	−1.53571	−	0.739560i	−0.994831	+	0.101540i	$0.967623\pi$
$108$	−3.22732	−	1.55420i	−0.310549	−	0.149553i
$109$	−7.34000	−	9.20407i	−0.703044	−	0.881590i	0.294202	−	0.955743i	$-0.404946\pi$
$109$	−7.34000	−	9.20407i	−0.703044	−	0.881590i	−0.997247	+	0.0741533i	$0.976375\pi$
$110$	−1.15005	+	1.44211i	−0.109653	+	0.137500i
$111$	16.8941	+	8.13576i	1.60352	+	0.772212i
$112$	−0.380661	−	1.66779i	−0.0359691	−	0.157591i
$113$	0.113996	+	0.499448i	0.0107238	+	0.0469841i	0.980007	−	0.198964i	$-0.0637578\pi$
$113$	0.113996	+	0.499448i	0.0107238	+	0.0469841i	−0.969283	+	0.245948i	$0.920901\pi$
$114$	−9.31142	+	11.6762i	−0.872094	+	1.09357i
$115$	3.09971	−	1.49274i	0.289049	−	0.139199i
$116$	0.479926	−	2.10269i	0.0445600	−	0.195230i
$117$	−0.349053	+	0.168095i	−0.0322700	+	0.0155404i
$118$	−2.08533	−	2.61492i	−0.191970	−	0.240723i
$119$	1.33029	+	5.82839i	0.121948	+	0.534288i
$120$	1.28772	+	1.61475i	0.117552	+	0.147406i
$121$	1.69065	−	7.40721i	0.153695	−	0.673383i
$122$	0.468917			0.0424538
$123$	−19.3599			−1.74562
$124$	−1.76122	+	7.71640i	−0.158162	+	0.692953i
$125$	−0.623490	+	0.781831i	−0.0557666	+	0.0699291i
$126$	−1.95068	−	0.939397i	−0.173780	−	0.0836882i
$127$	5.12511	−	2.46812i	0.454780	−	0.219011i	−0.192448	−	0.981307i	$-0.561643\pi$
$127$	5.12511	−	2.46812i	0.454780	−	0.219011i	0.647228	+	0.762297i	$0.275928\pi$
$128$	1.00000			0.0883883
$129$	−11.5681	−	7.04278i	−1.01852	−	0.620082i
$130$	−0.306107			−0.0268474
$131$	−10.3770	+	4.99731i	−0.906645	+	0.436617i	−0.828284	−	0.560308i	$-0.810683\pi$
$131$	−10.3770	+	4.99731i	−0.906645	+	0.436617i	−0.0783606	+	0.996925i	$0.524969\pi$
$132$	3.43232	+	1.65292i	0.298745	+	0.143868i
$133$	7.71244	−	9.67110i	0.668754	−	0.838590i
$134$	−0.900086	+	3.94353i	−0.0777556	+	0.340669i
$135$	−3.58206			−0.308294
$136$	−3.49469			−0.299667
$137$	1.69465	−	7.42477i	0.144784	−	0.634341i	−0.849501	−	0.527586i	$-0.823097\pi$
$137$	1.69465	−	7.42477i	0.144784	−	0.634341i	0.994285	−	0.106754i	$-0.0340458\pi$
$138$	−4.43029	−	5.55540i	−0.377131	−	0.472907i
$139$	0.226985	+	0.994486i	0.0192526	+	0.0843512i	0.983642	−	0.180137i	$-0.0576541\pi$
$139$	0.226985	+	0.994486i	0.0192526	+	0.0843512i	−0.964389	+	0.264488i	$0.914797\pi$
$140$	−1.06659	−	1.33746i	−0.0901432	−	0.113036i
$141$	6.84766	−	3.29766i	0.576677	−	0.277713i
$142$	1.21551	−	5.32550i	0.102003	−	0.446906i
$143$	−0.508709	+	0.244981i	−0.0425404	+	0.0204864i
$144$	0.789110	−	0.989513i	0.0657592	−	0.0824594i
$145$	−0.479926	−	2.10269i	−0.0398557	−	0.174619i
$146$	1.35087	+	5.91853i	0.111798	+	0.489821i
$147$	−7.58016	−	3.65041i	−0.625201	−	0.301081i
$148$	5.66060	−	7.09817i	0.465298	−	0.583466i
$149$	2.12828	+	2.66878i	0.174356	+	0.218635i	0.861329	−	0.508047i	$-0.169632\pi$
$149$	2.12828	+	2.66878i	0.174356	+	0.218635i	−0.686973	+	0.726683i	$0.741061\pi$
$150$	1.86081	+	0.896118i	0.151934	+	0.0731677i
$151$	−9.39245	−	4.52316i	−0.764347	−	0.368090i	0.0107421	−	0.999942i	$-0.496581\pi$
$151$	−9.39245	−	4.52316i	−0.764347	−	0.368090i	−0.775089	+	0.631852i	$0.782295\pi$
$152$	4.50842	+	5.65338i	0.365681	+	0.458549i
$153$	−2.75769	+	3.45804i	−0.222946	+	0.279566i
$154$	−2.84291	−	1.36908i	−0.229089	−	0.110323i
$155$	1.76122	+	7.71640i	0.141464	+	0.619796i
$156$	0.140681	+	0.616365i	0.0112635	+	0.0493487i
$157$	0.0857448	−	0.107521i	0.00684318	−	0.00858107i	−0.778398	−	0.627771i	$-0.783967\pi$
$157$	0.0857448	−	0.107521i	0.00684318	−	0.00858107i	0.785241	+	0.619190i	$0.212539\pi$
$158$	2.43396	−	1.17213i	0.193635	−	0.0932499i
$159$	−2.70798	+	11.8644i	−0.214757	+	0.940912i
$160$	0.900969	−	0.433884i	0.0712278	−	0.0343015i
$161$	3.66951	+	4.60142i	0.289198	+	0.362643i
$162$	2.49114	+	10.9144i	0.195722	+	0.857515i
$163$	10.0340	+	12.5822i	0.785922	+	0.985515i	0.999962	+	0.00869048i	$0.00276630\pi$
$163$	10.0340	+	12.5822i	0.785922	+	0.985515i	−0.214040	+	0.976825i	$0.568662\pi$
$164$	−2.08584	+	9.13868i	−0.162877	+	0.713611i
$165$	3.80959			0.296576
$166$	6.65312			0.516382
$167$	−2.62907	+	11.5187i	−0.203443	+	0.891344i	0.765377	+	0.643582i	$0.222552\pi$
$167$	−2.62907	+	11.5187i	−0.203443	+	0.891344i	−0.968821	+	0.247762i	$0.920305\pi$
$168$	−2.20287	+	2.76231i	−0.169955	+	0.213117i
$169$	11.6282	+	5.59983i	0.894475	+	0.430756i
$170$	−3.14861	+	1.51629i	−0.241487	+	0.116294i
$171$	9.15173			0.699850
$172$	−4.57084	+	4.70185i	−0.348524	+	0.358513i
$173$	22.3973			1.70284			0.851419	−	0.524486i	$-0.175743\pi$
$173$	22.3973			1.70284			0.851419	+	0.524486i	$0.175743\pi$
$174$	−4.01333	+	1.93272i	−0.304250	+	0.146519i
$175$	−1.54127	−	0.742235i	−0.116509	−	0.0561077i
$176$	1.15005	−	1.44211i	0.0866881	−	0.108703i
$177$	−1.53712	+	6.73457i	−0.115537	+	0.506201i
$178$	9.59173			0.718931
$179$	−13.3545			−0.998162			−0.499081	−	0.866555i	$-0.666329\pi$
$179$	−13.3545			−0.998162			−0.499081	+	0.866555i	$0.666329\pi$
$180$	0.281630	−	1.23390i	0.0209915	−	0.0919696i
$181$	−9.18178	−	11.5136i	−0.682476	−	0.855798i	0.313104	−	0.949719i	$-0.398631\pi$
$181$	−9.18178	−	11.5136i	−0.682476	−	0.855798i	−0.995580	+	0.0939210i	$0.970060\pi$
$182$	−0.116523	−	0.510521i	−0.00863727	−	0.0378424i
$183$	−0.603834	−	0.757184i	−0.0446367	−	0.0559726i
$184$	−3.09971	+	1.49274i	−0.228513	+	0.110046i
$185$	2.02024	−	8.85127i	0.148531	−	0.650758i
$186$	14.7280	−	7.09263i	1.07991	−	0.520057i
$187$	−4.01906	+	5.03974i	−0.293903	+	0.368542i
$188$	−0.818863	−	3.58767i	−0.0597217	−	0.261658i
$189$	−1.36355	−	5.97410i	−0.0991837	−	0.434552i
$190$	6.51485	+	3.13739i	0.472637	+	0.227610i
$191$	15.6091	−	19.5732i	1.12943	−	1.41626i	0.233342	−	0.972395i	$-0.425034\pi$
$191$	15.6091	−	19.5732i	1.12943	−	1.41626i	0.896091	−	0.443870i	$-0.146395\pi$
$192$	−1.28772	−	1.61475i	−0.0929331	−	0.116534i
$193$	6.85975	+	3.30348i	0.493775	+	0.237790i	0.664163	−	0.747587i	$-0.268788\pi$
$193$	6.85975	+	3.30348i	0.493775	+	0.237790i	−0.170388	+	0.985377i	$0.554502\pi$
$194$	5.53839	+	2.66715i	0.397633	+	0.191490i
$195$	0.394180	+	0.494286i	0.0282278	+	0.0353966i
$196$	−2.53984	+	3.18486i	−0.181417	+	0.227490i
$197$	22.8582	+	11.0079i	1.62858	+	0.784281i	0.999979	+	0.00655044i	$0.00208508\pi$
$197$	22.8582	+	11.0079i	1.62858	+	0.784281i	0.628598	+	0.777731i	$0.283629\pi$
$198$	−0.519476	−	2.27597i	−0.0369175	−	0.161746i
$199$	1.29267	+	5.66356i	0.0916349	+	0.401479i	0.999855	−	0.0170135i	$-0.00541582\pi$
$199$	1.29267	+	5.66356i	0.0916349	+	0.401479i	−0.908220	+	0.418492i	$0.862559\pi$
$200$	0.623490	−	0.781831i	0.0440874	−	0.0552838i
$201$	7.52687	−	3.62475i	0.530905	−	0.255670i
$202$	1.80981	−	7.92931i	0.127338	−	0.557904i
$203$	3.32415	−	1.60083i	0.233310	−	0.112356i
$204$	4.50018	+	5.64305i	0.315076	+	0.395092i
$205$	2.08584	+	9.13868i	0.145682	+	0.638273i
$206$	2.73599	+	3.43082i	0.190625	+	0.239037i
$207$	−0.968924	+	4.24513i	−0.0673449	+	0.295057i
$208$	0.306107			0.0212247
$209$	13.3377			0.922588
$210$	−0.786195	+	3.44455i	−0.0542526	+	0.237696i
$211$	−12.1680	+	15.2582i	−0.837679	+	1.05042i	0.160312	+	0.987066i	$0.448750\pi$
$211$	−12.1680	+	15.2582i	−0.837679	+	1.05042i	−0.997991	+	0.0633503i	$0.979821\pi$
$212$	5.30876	+	2.55656i	0.364607	+	0.175586i
$213$	−10.1646	+	4.89500i	−0.696465	+	0.335400i
$214$	17.6316			1.20527
$215$	−2.07813	+	6.21943i	−0.141728	+	0.424162i
$216$	3.58206			0.243728
$217$	−12.1989	+	5.87467i	−0.828113	+	0.398798i
$218$	10.6066	+	5.10787i	0.718370	+	0.345949i
$219$	7.81741	−	9.80272i	0.528251	−	0.662406i
$220$	0.410447	−	1.79829i	0.0276723	−	0.121240i
$221$	−1.06975			−0.0719592
$222$	−18.7510			−1.25849
$223$	−3.17269	+	13.9005i	−0.212459	+	0.930844i	0.750431	+	0.660949i	$0.229846\pi$
$223$	−3.17269	+	13.9005i	−0.212459	+	0.930844i	−0.962890	+	0.269895i	$0.913011\pi$
$224$	1.06659	+	1.33746i	0.0712645	+	0.0893628i
$225$	−0.281630	−	1.23390i	−0.0187753	−	0.0822601i
$226$	−0.319409	−	0.400526i	−0.0212468	−	0.0266426i
$227$	5.21069	−	2.50933i	0.345845	−	0.166550i	−0.252895	−	0.967494i	$-0.581383\pi$
$227$	5.21069	−	2.50933i	0.345845	−	0.166550i	0.598740	+	0.800943i	$0.295668\pi$
$228$	3.32321	−	14.5599i	0.220085	−	0.964254i
$229$	13.2673	−	6.38921i	0.876729	−	0.422211i	0.0593005	−	0.998240i	$-0.481113\pi$
$229$	13.2673	−	6.38921i	0.876729	−	0.422211i	0.817429	+	0.576030i	$0.195399\pi$
$230$	−2.14506	+	2.68982i	−0.141441	+	0.177362i
$231$	1.45016	+	6.35358i	0.0954137	+	0.418035i
$232$	0.479926	+	2.10269i	0.0315087	+	0.138049i
$233$	−16.3589	−	7.87803i	−1.07171	−	0.516107i	−0.187050	−	0.982350i	$-0.559893\pi$
$233$	−16.3589	−	7.87803i	−1.07171	−	0.516107i	−0.884656	+	0.466244i	$0.845607\pi$
$234$	0.241552	−	0.302897i	0.0157908	−	0.0198010i
$235$	−2.29440	−	2.87709i	−0.149670	−	0.187681i
$236$	3.01339	+	1.45117i	0.196155	+	0.0944632i
$237$	−5.02696	−	2.42085i	−0.326536	−	0.157251i
$238$	−3.72740	−	4.67401i	−0.241611	−	0.302971i
$239$	−12.2058	+	15.3057i	−0.789531	+	0.990040i	0.210392	+	0.977617i	$0.432526\pi$
$239$	−12.2058	+	15.3057i	−0.789531	+	0.990040i	−0.999923	+	0.0124232i	$0.996045\pi$
$240$	−1.86081	−	0.896118i	−0.120115	−	0.0578442i
$241$	−0.0785477	−	0.344140i	−0.00505970	−	0.0221680i	0.972335	−	0.233591i	$-0.0750475\pi$
$241$	−0.0785477	−	0.344140i	−0.00505970	−	0.0221680i	−0.977395	+	0.211423i	$0.932190\pi$
$242$	1.69065	+	7.40721i	0.108679	+	0.476154i
$243$	7.71598	−	9.67553i	0.494980	−	0.620686i
$244$	−0.422480	+	0.203456i	−0.0270465	+	0.0130249i
$245$	−0.906458	+	3.97145i	−0.0579115	+	0.253727i
$246$	17.4426	−	8.39994i	1.11210	−	0.535560i
$247$	1.38006	+	1.73054i	0.0878111	+	0.110112i
$248$	−1.76122	−	7.71640i	−0.111837	−	0.489992i
$249$	−8.56734	−	10.7431i	−0.542933	−	0.680817i
$250$	0.222521	−	0.974928i	0.0140735	−	0.0616599i
$251$	16.8207			1.06171			0.530856	−	0.847462i	$-0.321871\pi$
$251$	16.8207			1.06171			0.530856	+	0.847462i	$0.321871\pi$
$252$	2.16509			0.136388
$253$	−1.41211	+	6.18685i	−0.0887785	+	0.388964i
$254$	−3.54669	+	4.44740i	−0.222539	+	0.279055i
$255$	6.50295	+	3.13165i	0.407230	+	0.196112i
$256$	−0.900969	+	0.433884i	−0.0563106	+	0.0271177i
$257$	7.34771			0.458338			0.229169	−	0.973387i	$-0.426399\pi$
$257$	7.34771			0.458338			0.229169	+	0.973387i	$0.426399\pi$
$258$	13.4783	+	1.32611i	0.839120	+	0.0825597i
$259$	15.5311			0.965053
$260$	0.275793	−	0.132815i	0.0171040	−	0.00823683i
$261$	2.45936	+	1.18436i	0.152230	+	0.0733102i
$262$	7.18113	−	9.00485i	0.443651	−	0.556321i
$263$	−6.57767	+	28.8186i	−0.405596	+	1.77703i	0.198478	+	0.980105i	$0.436400\pi$
$263$	−6.57767	+	28.8186i	−0.405596	+	1.77703i	−0.604074	+	0.796928i	$0.706457\pi$
$264$	−3.80959			−0.234464
$265$	5.89228			0.361960
$266$	−2.75254	+	12.0597i	−0.168769	+	0.739425i
$267$	−12.3515	−	15.4882i	−0.755897	−	0.947865i
$268$	−0.900086	−	3.94353i	−0.0549815	−	0.240890i
$269$	−16.1392	−	20.2379i	−0.984022	−	1.23392i	−0.972238	−	0.233994i	$-0.924820\pi$
$269$	−16.1392	−	20.2379i	−0.984022	−	1.23392i	−0.0117838	−	0.999931i	$-0.503751\pi$
$270$	3.22732	−	1.55420i	0.196409	−	0.0945854i
$271$	−2.53470	+	11.1052i	−0.153972	+	0.674596i	0.837735	+	0.546077i	$0.183879\pi$
$271$	−2.53470	+	11.1052i	−0.153972	+	0.674596i	−0.991707	+	0.128519i	$0.958978\pi$
$272$	3.14861	−	1.51629i	0.190912	−	0.0919385i
$273$	−0.674315	+	0.845564i	−0.0408114	+	0.0511758i
$274$	1.69465	+	7.42477i	0.102378	+	0.448547i
$275$	−0.410447	−	1.79829i	−0.0247509	−	0.108441i
$276$	6.40195	+	3.08302i	0.385352	+	0.185576i
$277$	−2.42348	+	3.03895i	−0.145613	+	0.182593i	−0.849289	−	0.527928i	$-0.822969\pi$
$277$	−2.42348	+	3.03895i	−0.145613	+	0.182593i	0.703676	+	0.710521i	$0.251541\pi$
$278$	−0.635998	−	0.797516i	−0.0381446	−	0.0478318i
$279$	−9.02527	−	4.34634i	−0.540329	−	0.260209i
$280$	1.54127	+	0.742235i	0.0921083	+	0.0443570i
$281$	0.601820	+	0.754658i	0.0359016	+	0.0450191i	0.799458	−	0.600722i	$-0.205120\pi$
$281$	0.601820	+	0.754658i	0.0359016	+	0.0450191i	−0.763557	+	0.645741i	$0.776549\pi$
$282$	−4.73873	+	5.94217i	−0.282187	+	0.353851i
$283$	3.87086	+	1.86411i	0.230098	+	0.110810i	0.545381	−	0.838188i	$-0.316385\pi$
$283$	3.87086	+	1.86411i	0.230098	+	0.110810i	−0.315282	+	0.948998i	$0.602099\pi$
$284$	1.21551	+	5.32550i	0.0721273	+	0.316010i
$285$	−3.32321	−	14.5599i	−0.196850	−	0.862455i
$286$	0.352038	−	0.441441i	0.0208164	−	0.0261030i
$287$	−14.4474	+	6.95748i	−0.852800	+	0.410687i
$288$	−0.281630	+	1.23390i	−0.0165952	+	0.0727084i
$289$	4.31307	−	2.07706i	0.253710	−	0.122180i
$290$	1.34472	+	1.68623i	0.0789648	+	0.0990188i
$291$	−2.82512	−	12.3777i	−0.165611	−	0.725591i
$292$	−3.78504	−	4.74629i	−0.221503	−	0.277756i
$293$	−5.51980	+	24.1838i	−0.322470	+	1.41283i	0.510673	+	0.859775i	$0.329396\pi$
$293$	−5.51980	+	24.1838i	−0.322470	+	1.41283i	−0.833143	+	0.553058i	$0.813461\pi$
$294$	8.41335			0.490676
$295$	3.34461			0.194731
$296$	−2.02024	+	8.85127i	−0.117424	+	0.514470i
$297$	4.11953	−	5.16573i	0.239040	−	0.299746i
$298$	−3.07546	−	1.48106i	−0.178157	−	0.0857957i
$299$	−0.948843	+	0.456938i	−0.0548730	+	0.0264254i
$300$	−2.06534			−0.119243
$301$	−11.1637	−	1.09838i	−0.643468	−	0.0633098i
$302$	10.4248			0.599882
$303$	−15.1344	+	7.28833i	−0.869447	+	0.418704i
$304$	−6.51485	−	3.13739i	−0.373652	−	0.179942i
$305$	−0.292365	+	0.366614i	−0.0167408	+	0.0209923i
$306$	0.984210	−	4.31210i	0.0562635	−	0.246507i
$307$	−23.2190			−1.32518			−0.662589	−	0.748983i	$-0.730543\pi$
$307$	−23.2190			−1.32518			−0.662589	+	0.748983i	$0.730543\pi$
$308$	3.15540			0.179795
$309$	2.01673	−	8.83586i	0.114728	−	0.502655i
$310$	−4.93482	−	6.18807i	−0.280279	−	0.351459i
$311$	3.36337	+	14.7359i	0.190719	+	0.835595i	0.976228	+	0.216745i	$0.0695439\pi$
$311$	3.36337	+	14.7359i	0.190719	+	0.835595i	−0.785509	+	0.618850i	$0.787599\pi$
$312$	−0.394180	−	0.494286i	−0.0223161	−	0.0279835i
$313$	11.2821	−	5.43319i	0.637704	−	0.307102i	−0.0869523	−	0.996212i	$-0.527713\pi$
$313$	11.2821	−	5.43319i	0.637704	−	0.307102i	0.724656	+	0.689110i	$0.241999\pi$
$314$	−0.0306020	+	0.134076i	−0.00172697	+	0.00756634i
$315$	1.95068	−	0.939397i	0.109908	−	0.0529290i
$316$	−1.68435	+	2.11211i	−0.0947522	+	0.118816i
$317$	2.20172	+	9.64636i	0.123661	+	0.541794i	0.998366	+	0.0571386i	$0.0181977\pi$
$317$	2.20172	+	9.64636i	0.123661	+	0.541794i	−0.874705	+	0.484655i	$0.838945\pi$
$318$	−2.70798	−	11.8644i	−0.151856	−	0.665325i
$319$	3.58426	+	1.72609i	0.200680	+	0.0966424i
$320$	−0.623490	+	0.781831i	−0.0348541	+	0.0437057i
$321$	−22.7045	−	28.4706i	−1.26724	−	1.58907i
$322$	−5.30259	−	2.55359i	−0.295502	−	0.142306i
$323$	22.7674	+	10.9642i	1.26681	+	0.610064i
$324$	−6.98001	−	8.75266i	−0.387779	−	0.486259i
$325$	0.190855	−	0.239324i	0.0105867	−	0.0132753i
$326$	−14.4995	−	6.98260i	−0.803055	−	0.386731i
$327$	−5.41040	−	23.7045i	−0.299196	−	1.31086i
$328$	−2.08584	−	9.13868i	−0.115171	−	0.504599i
$329$	3.92498	−	4.92177i	0.216391	−	0.271346i
$330$	−3.43232	+	1.65292i	−0.188943	+	0.0909902i
$331$	−4.85177	+	21.2570i	−0.266678	+	1.16839i	0.647174	+	0.762342i	$0.275951\pi$
$331$	−4.85177	+	21.2570i	−0.266678	+	1.16839i	−0.913851	+	0.406049i	$0.866906\pi$
$332$	−5.99425	+	2.88668i	−0.328977	+	0.158427i
$333$	7.16425	+	8.98368i	0.392598	+	0.492303i
$334$	−2.62907	−	11.5187i	−0.143856	−	0.630275i
$335$	−2.52198	−	3.16247i	−0.137791	−	0.172784i
$336$	0.786195	−	3.44455i	0.0428905	−	0.187915i
$337$	21.1659			1.15298			0.576491	−	0.817104i	$-0.304422\pi$
$337$	21.1659			1.15298			0.576491	+	0.817104i	$0.304422\pi$
$338$	−12.9063			−0.702010
$339$	−0.235440	+	1.03153i	−0.0127873	+	0.0560250i
$340$	2.17890	−	2.73226i	0.118168	−	0.148178i
$341$	−13.1534	−	6.33435i	−0.712297	−	0.343024i
$342$	−8.24542	+	3.97078i	−0.445861	+	0.214715i
$343$	−18.9433			−1.02284
$344$	2.07813	−	6.21943i	0.112045	−	0.335329i
$345$	7.10563			0.382554
$346$	−20.1793	+	9.71784i	−1.08485	+	0.522434i
$347$	−31.1795	−	15.0152i	−1.67380	−	0.806061i	−0.997592	−	0.0693522i	$-0.977907\pi$
$347$	−31.1795	−	15.0152i	−1.67380	−	0.806061i	−0.676210	−	0.736709i	$-0.736379\pi$
$348$	2.77731	−	3.48264i	0.148880	−	0.186689i
$349$	−4.07118	+	17.8370i	−0.217925	+	0.954793i	0.741083	+	0.671414i	$0.234313\pi$
$349$	−4.07118	+	17.8370i	−0.217925	+	0.954793i	−0.959008	+	0.283379i	$0.908544\pi$
$350$	1.71068			0.0914395
$351$	1.09649			0.0585265
$352$	−0.410447	+	1.79829i	−0.0218769	+	0.0958490i
$353$	−7.34482	−	9.21011i	−0.390925	−	0.490205i	0.546956	−	0.837161i	$-0.315787\pi$
$353$	−7.34482	−	9.21011i	−0.390925	−	0.490205i	−0.937881	+	0.346957i	$0.887215\pi$
$354$	−1.53712	−	6.73457i	−0.0816971	−	0.357938i
$355$	3.40578	+	4.27072i	0.180760	+	0.226666i
$356$	−8.64185	+	4.16170i	−0.458017	+	0.220569i
$357$	−2.74751	+	12.0376i	−0.145414	+	0.637098i
$358$	12.0320	−	5.79430i	0.635910	−	0.306238i
$359$	19.9449	−	25.0101i	1.05265	−	1.31998i	0.107191	−	0.994238i	$-0.465814\pi$
$359$	19.9449	−	25.0101i	1.05265	−	1.31998i	0.945459	−	0.325743i	$-0.105614\pi$
$360$	0.281630	+	1.23390i	0.0148432	+	0.0650324i
$361$	−7.40694	−	32.4519i	−0.389839	−	1.70800i
$362$	13.2681	+	6.38956i	0.697353	+	0.335828i
$363$	9.78371	−	12.2684i	0.513511	−	0.643923i
$364$	0.326491	+	0.409406i	0.0171128	+	0.0214587i
$365$	−5.46955	−	2.63399i	−0.286289	−	0.137870i
$366$	0.872565	+	0.420205i	0.0456097	+	0.0219645i
$367$	−9.15630	−	11.4816i	−0.477955	−	0.599337i	0.483144	−	0.875541i	$-0.339495\pi$
$367$	−9.15630	−	11.4816i	−0.477955	−	0.599337i	−0.961099	+	0.276204i	$0.910923\pi$
$368$	2.14506	−	2.68982i	0.111819	−	0.140217i
$369$	−10.6888	−	5.14745i	−0.556436	−	0.267966i
$370$	2.02024	+	8.85127i	0.105028	+	0.460156i
$371$	2.24296	+	9.82706i	0.116449	+	0.510195i
$372$	−10.1921	+	12.7805i	−0.528435	+	0.662637i
$373$	8.11033	−	3.90573i	0.419937	−	0.202231i	−0.211969	−	0.977276i	$-0.567987\pi$
$373$	8.11033	−	3.90573i	0.419937	−	0.202231i	0.631905	+	0.775046i	$0.282273\pi$
$374$	1.43438	−	6.28445i	0.0741703	−	0.324961i
$375$	−1.86081	+	0.896118i	−0.0960917	+	0.0462753i
$376$	2.29440	+	2.87709i	0.118325	+	0.148375i
$377$	0.146909	+	0.643650i	0.00756619	+	0.0331496i
$378$	3.82058	+	4.79086i	0.196510	+	0.246415i
$379$	5.62138	−	24.6289i	0.288751	−	1.26510i	−0.597490	−	0.801876i	$-0.703835\pi$
$379$	5.62138	−	24.6289i	0.288751	−	1.26510i	0.886241	−	0.463224i	$-0.153308\pi$
$380$	−7.23094			−0.370939
$381$	11.7486			0.601898
$382$	−5.57082	+	24.4073i	−0.285028	+	1.24879i
$383$	9.50911	−	11.9241i	0.485893	−	0.609291i	−0.477089	−	0.878855i	$-0.658308\pi$
$383$	9.50911	−	11.9241i	0.485893	−	0.609291i	0.962982	+	0.269564i	$0.0868796\pi$
$384$	1.86081	+	0.896118i	0.0949590	+	0.0457298i
$385$	2.84291	−	1.36908i	0.144888	−	0.0697745i
$386$	−7.61374			−0.387529
$387$	−4.51433	−	6.96416i	−0.229476	−	0.354008i
$388$	−6.14715			−0.312074
$389$	3.93909	−	1.89696i	0.199720	−	0.0961799i	−0.331351	−	0.943508i	$-0.607504\pi$
$389$	3.93909	−	1.89696i	0.199720	−	0.0961799i	0.531070	+	0.847328i	$0.321790\pi$
$390$	−0.569607	−	0.274308i	−0.0288432	−	0.0138901i
$391$	−7.49633	+	9.40010i	−0.379106	+	0.475383i
$392$	0.906458	−	3.97145i	0.0457831	−	0.200589i
$393$	−23.7878			−1.19994
$394$	−25.3706			−1.27815
$395$	−0.601138	+	2.63376i	−0.0302466	+	0.132519i
$396$	1.45554	+	1.82519i	0.0731436	+	0.0917191i
$397$	7.63282	+	33.4416i	0.383080	+	1.67838i	0.687766	+	0.725932i	$0.258591\pi$
$397$	7.63282	+	33.4416i	0.383080	+	1.67838i	−0.304686	+	0.952453i	$0.598552\pi$
$398$	−3.62198	−	4.54182i	−0.181553	−	0.227661i
$399$	23.0178	−	11.0848i	1.15233	−	0.554934i
$400$	−0.222521	+	0.974928i	−0.0111260	+	0.0487464i
$401$	3.30779	−	1.59295i	0.165183	−	0.0795480i	−0.349465	−	0.936949i	$-0.613637\pi$
$401$	3.30779	−	1.59295i	0.165183	−	0.0795480i	0.514648	+	0.857401i	$0.327922\pi$
$402$	−5.20876	+	6.53158i	−0.259789	+	0.325765i
$403$	−0.539122	−	2.36205i	−0.0268556	−	0.117662i
$404$	1.80981	+	7.92931i	0.0900416	+	0.394498i
$405$	−10.0864	−	4.85736i	−0.501198	−	0.241364i
$406$	−2.30038	+	2.88459i	−0.114166	+	0.143160i
$407$	10.4412	+	13.0928i	0.517549	+	0.648986i
$408$	−6.50295	−	3.13165i	−0.321944	−	0.155040i
$409$	25.6096	+	12.3329i	1.26631	+	0.609823i	0.941837	−	0.336071i	$-0.109098\pi$
$409$	25.6096	+	12.3329i	1.26631	+	0.609823i	0.324474	+	0.945894i	$0.394813\pi$
$410$	−5.84440	−	7.32865i	−0.288634	−	0.361936i
$411$	9.80689	−	12.2975i	0.483738	−	0.606589i
$412$	−3.95362	−	1.90396i	−0.194781	−	0.0938014i
$413$	1.27316	+	5.57809i	0.0626483	+	0.274480i
$414$	−0.968924	−	4.24513i	−0.0476200	−	0.208637i
$415$	−4.14815	+	5.20162i	−0.203625	+	0.255337i
$416$	−0.275793	+	0.132815i	−0.0135219	+	0.00651179i
$417$	−0.468801	+	2.05395i	−0.0229573	+	0.100582i
$418$	−12.0169	+	5.78701i	−0.587764	+	0.283052i
$419$	−6.82813	−	8.56221i	−0.333576	−	0.418291i	0.586550	−	0.809913i	$-0.300486\pi$
$419$	−6.82813	−	8.56221i	−0.333576	−	0.418291i	−0.920126	+	0.391622i	$0.871914\pi$
$420$	−0.786195	−	3.44455i	−0.0383624	−	0.168077i
$421$	18.9680	+	23.7851i	0.924442	+	1.15921i	0.986927	+	0.161167i	$0.0515259\pi$
$421$	18.9680	+	23.7851i	0.924442	+	1.15921i	−0.0624853	+	0.998046i	$0.519903\pi$
$422$	4.34271	−	19.0266i	0.211400	−	0.926203i
$423$	4.65745			0.226453
$424$	−5.89228			−0.286154
$425$	0.777642	−	3.40707i	0.0377212	−	0.165267i
$426$	7.03411	−	8.82049i	0.340804	−	0.427354i
$427$	−0.722726	−	0.348047i	−0.0349752	−	0.0168432i
$428$	−15.8855	+	7.65006i	−0.767856	+	0.369780i
$429$	−1.16614			−0.0563019
$430$	−0.826178	−	6.50518i	−0.0398418	−	0.313708i
$431$	37.6251			1.81234			0.906168	−	0.422918i	$-0.138994\pi$
$431$	37.6251			1.81234			0.906168	+	0.422918i	$0.138994\pi$
$432$	−3.22732	+	1.55420i	−0.155275	+	0.0747763i
$433$	23.5348	+	11.3338i	1.13101	+	0.544666i	0.903277	−	0.429057i	$-0.141154\pi$
$433$	23.5348	+	11.3338i	1.13101	+	0.544666i	0.227734	+	0.973723i	$0.426868\pi$
$434$	8.44188	−	10.5858i	0.405223	−	0.508134i
$435$	0.991211	−	4.34278i	0.0475249	−	0.208220i
$436$	−11.7724			−0.563798
$437$	24.8774			1.19005
$438$	−2.79000	+	12.2238i	−0.133311	+	0.584075i
$439$	−17.5433	−	21.9986i	−0.837297	−	1.04994i	−0.998018	−	0.0629367i	$-0.979953\pi$
$439$	−17.5433	−	21.9986i	−0.837297	−	1.04994i	0.160721	−	0.987000i	$-0.448618\pi$
$440$	0.410447	+	1.79829i	0.0195673	+	0.0857299i
$441$	−3.21451	−	4.03087i	−0.153072	−	0.191946i
$442$	0.963811	−	0.464147i	0.0458438	−	0.0220772i
$443$	−2.80800	+	12.3027i	−0.133412	+	0.584517i	0.863385	+	0.504546i	$0.168340\pi$
$443$	−2.80800	+	12.3027i	−0.133412	+	0.584517i	−0.996797	+	0.0799710i	$0.974517\pi$
$444$	16.8941	−	8.13576i	0.801758	−	0.386106i
$445$	−5.98035	+	7.49912i	−0.283496	+	0.355492i
$446$	−3.17269	−	13.9005i	−0.150231	−	0.658206i
$447$	1.56878	+	6.87329i	0.0742009	+	0.325095i
$448$	−1.54127	−	0.742235i	−0.0728180	−	0.0350673i
$449$	17.8804	−	22.4213i	0.843829	−	1.05813i	−0.153717	−	0.988115i	$-0.549124\pi$
$449$	17.8804	−	22.4213i	0.843829	−	1.05813i	0.997546	−	0.0700136i	$-0.0223043\pi$
$450$	0.789110	+	0.989513i	0.0371990	+	0.0466461i
$451$	−15.5778	−	7.50189i	−0.733531	−	0.353250i
$452$	0.461559	+	0.222275i	0.0217099	+	0.0104549i
$453$	−13.4243	−	16.8335i	−0.630727	−	0.790906i
$454$	−3.60591	+	4.52166i	−0.169234	+	0.212212i
$455$	0.471793	+	0.227203i	0.0221180	+	0.0106515i
$456$	3.32321	+	14.5599i	0.155623	+	0.681831i
$457$	4.88981	+	21.4237i	0.228736	+	1.00216i	0.950672	+	0.310198i	$0.100395\pi$
$457$	4.88981	+	21.4237i	0.228736	+	1.00216i	−0.721936	+	0.691959i	$0.756748\pi$
$458$	−9.18127	+	11.5130i	−0.429013	+	0.537965i
$459$	11.2785	−	5.43143i	0.526435	−	0.253518i
$460$	0.765564	−	3.35416i	0.0356946	−	0.156388i
$461$	11.7573	−	5.66201i	0.547591	−	0.263706i	−0.139569	−	0.990212i	$-0.544572\pi$
$461$	11.7573	−	5.66201i	0.547591	−	0.263706i	0.687160	+	0.726507i	$0.258857\pi$
$462$	−4.06327	−	5.09517i	−0.189040	−	0.237049i
$463$	4.18799	+	18.3488i	0.194632	+	0.852740i	0.974068	+	0.226257i	$0.0726490\pi$
$463$	4.18799	+	18.3488i	0.194632	+	0.852740i	−0.779435	+	0.626483i	$0.784494\pi$
$464$	−1.34472	−	1.68623i	−0.0624272	−	0.0782812i
$465$	−3.63752	+	15.9370i	−0.168686	+	0.739060i
$466$	18.1570			0.841107
$467$	−15.7819			−0.730297			−0.365149	−	0.930949i	$-0.618982\pi$
$467$	−15.7819			−0.730297			−0.365149	+	0.930949i	$0.618982\pi$
$468$	−0.0862090	+	0.377706i	−0.00398501	+	0.0174595i
$469$	4.31430	−	5.40996i	0.199216	−	0.249809i
$470$	3.31551	+	1.59666i	0.152933	+	0.0736487i
$471$	0.255906	−	0.123238i	0.0117915	−	0.00567849i
$472$	−3.34461			−0.153948
$473$	−6.57918	−	10.1495i	−0.302511	−	0.466677i
$474$	5.57950			0.256275
$475$	−6.51485	+	3.13739i	−0.298922	+	0.143953i
$476$	5.38625	+	2.59388i	0.246878	+	0.118890i
$477$	−4.64966	+	5.83048i	−0.212893	+	0.266960i
$478$	4.35622	−	19.0858i	0.199249	−	0.872966i
$479$	1.30235			0.0595058			0.0297529	−	0.999557i	$-0.490528\pi$
$479$	1.30235			0.0595058			0.0297529	+	0.999557i	$0.490528\pi$
$480$	2.06534			0.0942695
$481$	−0.618412	+	2.70944i	−0.0281971	+	0.123540i
$482$	0.220086	+	0.275979i	0.0100246	+	0.0125705i
$483$	2.70484	+	11.8507i	0.123074	+	0.539224i
$484$	−4.73709	−	5.94012i	−0.215322	−	0.270006i
$485$	−5.53839	+	2.66715i	−0.251485	+	0.121109i
$486$	−2.75380	+	12.0652i	−0.124915	+	0.547288i
$487$	6.99329	−	3.36779i	0.316896	−	0.152609i	−0.268673	−	0.963231i	$-0.586585\pi$
$487$	6.99329	−	3.36779i	0.316896	−	0.152609i	0.585570	+	0.810622i	$0.300871\pi$
$488$	0.292365	−	0.366614i	0.0132347	−	0.0165958i
$489$	7.39617	+	32.4047i	0.334466	+	1.46539i
$490$	−0.906458	−	3.97145i	−0.0409496	−	0.179412i
$491$	5.78773	+	2.78723i	0.261197	+	0.125786i	0.559900	−	0.828560i	$-0.310840\pi$
$491$	5.78773	+	2.78723i	0.261197	+	0.125786i	−0.298703	+	0.954346i	$0.596554\pi$
$492$	−12.0707	+	15.1362i	−0.544189	+	0.682391i
$493$	4.69939	+	5.89285i	0.211650	+	0.265400i
$494$	−1.99424	−	0.960377i	−0.0897253	−	0.0432094i
$495$	2.10331	+	1.01290i	0.0945370	+	0.0455266i
$496$	4.93482	+	6.18807i	0.221580	+	0.277853i
$497$	−5.82619	+	7.30582i	−0.261341	+	0.327711i
$498$	12.3802	+	5.96198i	0.554769	+	0.267163i
$499$	−4.34990	−	19.0581i	−0.194728	−	0.853160i	−0.974013	−	0.226490i	$-0.927275\pi$
$499$	−4.34990	−	19.0581i	−0.194728	−	0.853160i	0.779285	−	0.626669i	$-0.215582\pi$
$500$	0.222521	+	0.974928i	0.00995144	+	0.0436001i
$501$	−15.2143	+	19.0781i	−0.679725	+	0.852349i
$502$	−15.1549	+	7.29822i	−0.676396	+	0.325735i
$503$	1.89333	−	8.29521i	0.0844193	−	0.369865i	−0.915018	−	0.403413i	$-0.867824\pi$
$503$	1.89333	−	8.29521i	0.0844193	−	0.369865i	0.999437	+	0.0335484i	$0.0106808\pi$
$504$	−1.95068	+	0.939397i	−0.0868901	+	0.0418441i
$505$	5.07098	+	6.35881i	0.225656	+	0.282963i
$506$	−1.41211	−	6.18685i	−0.0627758	−	0.275039i
$507$	16.6197	+	20.8404i	0.738106	+	0.925556i
$508$	1.26580	−	5.54582i	0.0561607	−	0.246056i
$509$	−2.02165			−0.0896083			−0.0448041	−	0.998996i	$-0.514266\pi$
$509$	−2.02165			−0.0896083			−0.0448041	+	0.998996i	$0.514266\pi$
$510$	−7.21773			−0.319606
$511$	2.31089	−	10.1247i	0.102228	−	0.447890i
$512$	0.623490	−	0.781831i	0.0275546	−	0.0345524i
$513$	−23.3366	−	11.2383i	−1.03033	−	0.496183i
$514$	−6.62006	+	3.18805i	−0.291998	+	0.140619i
$515$	−4.38818			−0.193366
$516$	−12.7189	+	4.65322i	−0.559917	+	0.204847i
$517$	6.78776			0.298525
$518$	−13.9930	+	6.73867i	−0.614817	+	0.296080i
$519$	41.6771	+	20.0707i	1.82942	+	0.881004i
$520$	−0.190855	+	0.239324i	−0.00836953	+	0.0104951i
$521$	−1.29067	+	5.65480i	−0.0565453	+	0.247741i	−0.995299	−	0.0968468i	$-0.969124\pi$
$521$	−1.29067	+	5.65480i	−0.0565453	+	0.247741i	0.938754	+	0.344588i	$0.111981\pi$
$522$	−2.72968			−0.119475
$523$	30.5074			1.33399			0.666997	−	0.745060i	$-0.267579\pi$
$523$	30.5074			1.33399			0.666997	+	0.745060i	$0.267579\pi$
$524$	−2.56291	+	11.2289i	−0.111961	+	0.490535i
$525$	−2.20287	−	2.76231i	−0.0961411	−	0.120557i
$526$	−6.57767	−	28.8186i	−0.286800	−	1.25655i
$527$	−17.2457	−	21.6254i	−0.751233	−	0.942017i
$528$	3.43232	−	1.65292i	0.149373	−	0.0719340i
$529$	2.48412	−	10.8837i	0.108005	−	0.473202i
$530$	−5.30876	+	2.55656i	−0.230598	+	0.111050i
$531$	−2.63926	+	3.30953i	−0.114534	+	0.143622i
$532$	−2.75254	−	12.0597i	−0.119338	−	0.522853i
$533$	−0.638492	−	2.79742i	−0.0276561	−	0.121170i
$534$	17.8484	+	8.59532i	0.772375	+	0.371956i
$535$	−10.9931	+	13.7849i	−0.475274	+	0.595975i
$536$	2.52198	+	3.16247i	0.108933	+	0.136598i
$537$	−24.8502	−	11.9672i	−1.07236	−	0.516423i
$538$	23.3218	+	11.2312i	1.00547	+	0.484210i
$539$	−4.68482	−	5.87457i	−0.201789	−	0.253036i
$540$	−2.23338	+	2.80056i	−0.0961092	+	0.120517i
$541$	−23.2755	−	11.2089i	−1.00069	−	0.481909i	−0.139520	−	0.990219i	$-0.544556\pi$
$541$	−23.2755	−	11.2089i	−1.00069	−	0.481909i	−0.861174	+	0.508311i	$0.830270\pi$
$542$	−2.53470	−	11.1052i	−0.108875	−	0.477011i
$543$	−6.76800	−	29.6525i	−0.290442	−	1.27251i
$544$	−2.17890	+	2.73226i	−0.0934197	+	0.117145i
$545$	−10.6066	+	5.10787i	−0.454337	+	0.218797i
$546$	0.240660	−	1.05440i	0.0102993	−	0.0451242i
$547$	−25.2954	+	12.1816i	−1.08155	+	0.520849i	−0.887813	−	0.460204i	$-0.847776\pi$
$547$	−25.2954	+	12.1816i	−1.08155	+	0.520849i	−0.193740	+	0.981053i	$0.562062\pi$
$548$	−4.74832	−	5.95420i	−0.202838	−	0.254351i
$549$	−0.132061	−	0.578598i	−0.00563624	−	0.0246940i
$550$	1.15005	+	1.44211i	0.0490382	+	0.0614919i
$551$	3.47032	−	15.2044i	0.147840	−	0.647731i
$552$	−7.10563			−0.302436
$553$	−4.62138			−0.196521
$554$	0.864930	−	3.78950i	0.0367473	−	0.161001i
$555$	11.6911	−	14.6601i	0.496258	−	0.622288i
$556$	0.919043	+	0.442588i	0.0389761	+	0.0187699i
$557$	−34.2441	+	16.4911i	−1.45097	+	0.698749i	−0.982763	−	0.184871i	$-0.940813\pi$
$557$	−34.2441	+	16.4911i	−1.45097	+	0.698749i	−0.468204	+	0.883620i	$0.655099\pi$
$558$	10.0173			0.424066
$559$	0.636132	−	1.90381i	0.0269055	−	0.0805228i
$560$	−1.71068			−0.0722893
$561$	−11.9949	+	5.77644i	−0.506425	+	0.243881i
$562$	−0.869655	−	0.418804i	−0.0366842	−	0.0176662i
$563$	15.6540	−	19.6295i	0.659737	−	0.827284i	−0.333578	−	0.942723i	$-0.608256\pi$
$563$	15.6540	−	19.6295i	0.659737	−	0.827284i	0.993315	+	0.115439i	$0.0368274\pi$
$564$	1.69123	−	7.40977i	0.0712137	−	0.312008i
$565$	0.512292			0.0215523
$566$	−4.29633			−0.180588
$567$	4.26153	−	18.6710i	0.178967	−	0.784108i
$568$	−3.40578	−	4.27072i	−0.142904	−	0.179195i
$569$	−5.44184	−	23.8423i	−0.228134	−	0.999520i	−0.951160	−	0.308699i	$-0.900106\pi$
$569$	−5.44184	−	23.8423i	−0.228134	−	0.999520i	0.723026	−	0.690821i	$-0.242751\pi$
$570$	9.31142	+	11.6762i	0.390012	+	0.489060i
$571$	−25.0455	+	12.0613i	−1.04812	+	0.504748i	−0.876994	−	0.480501i	$-0.840455\pi$
$571$	−25.0455	+	12.0613i	−1.04812	+	0.504748i	−0.171126	+	0.985249i	$0.554741\pi$
$572$	−0.125641	+	0.550468i	−0.00525331	+	0.0230162i
$573$	46.5854	−	22.4343i	1.94613	−	0.937207i
$574$	9.99788	−	12.5369i	0.417303	−	0.523282i
$575$	−0.765564	−	3.35416i	−0.0319262	−	0.139878i
$576$	−0.281630	−	1.23390i	−0.0117346	−	0.0514126i
$577$	32.8027	+	15.7969i	1.36559	+	0.657635i	0.965877	−	0.259003i	$-0.0833940\pi$
$577$	32.8027	+	15.7969i	1.36559	+	0.657635i	0.399717	+	0.916638i	$0.369108\pi$
$578$	−2.98474	+	3.74274i	−0.124149	+	0.155678i
$579$	9.80436	+	12.2943i	0.407455	+	0.510933i
$580$	−1.94318	−	0.935786i	−0.0806862	−	0.0388564i
$581$	−10.2542	−	4.93817i	−0.425417	−	0.204870i
$582$	7.91581	+	9.92611i	0.328121	+	0.411450i
$583$	−6.77640	+	8.49733i	−0.280650	+	0.351924i
$584$	5.46955	+	2.63399i	0.226331	+	0.108995i
$585$	0.0862090	+	0.377706i	0.00356430	+	0.0156162i
$586$	−5.51980	−	24.1838i	−0.228021	−	0.999024i
$587$	20.5389	−	25.7549i	0.847729	−	1.06302i	−0.149510	−	0.988760i	$-0.547769\pi$
$587$	20.5389	−	25.7549i	0.847729	−	1.06302i	0.997239	−	0.0742588i	$-0.0236591\pi$
$588$	−7.58016	+	3.65041i	−0.312601	+	0.150541i
$589$	−12.7353	+	55.7968i	−0.524747	+	2.29907i
$590$	−3.01339	+	1.45117i	−0.124059	+	0.0597438i
$591$	32.6703	+	40.9672i	1.34387	+	1.68517i
$592$	−2.02024	−	8.85127i	−0.0830315	−	0.363785i
$593$	−13.0982	−	16.4246i	−0.537877	−	0.674476i	0.436420	−	0.899743i	$-0.356246\pi$
$593$	−13.0982	−	16.4246i	−0.537877	−	0.674476i	−0.974297	+	0.225267i	$0.927675\pi$
$594$	−1.47024	+	6.44156i	−0.0603249	+	0.264301i
$595$	5.97828			0.245086
$596$	3.41350			0.139823
$597$	−2.66980	+	11.6972i	−0.109268	+	0.478734i
$598$	0.656619	−	0.823375i	0.0268512	−	0.0336703i
$599$	−24.7263	−	11.9076i	−1.01029	−	0.486529i	−0.145871	−	0.989304i	$-0.546598\pi$
$599$	−24.7263	−	11.9076i	−1.01029	−	0.486529i	−0.864418	+	0.502774i	$0.832313\pi$
$600$	1.86081	−	0.896118i	0.0759672	−	0.0365839i
$601$	−21.6433			−0.882848			−0.441424	−	0.897299i	$-0.645527\pi$
$601$	−21.6433			−0.882848			−0.441424	+	0.897299i	$0.645527\pi$
$602$	10.5348	−	3.85416i	0.429365	−	0.157084i
$603$	5.11943			0.208479
$604$	−9.39245	+	4.52316i	−0.382173	+	0.184045i
$605$	−6.84529	−	3.29652i	−0.278301	−	0.134023i
$606$	10.4733	−	13.1331i	0.425449	−	0.533497i
$607$	−7.49970	+	32.8583i	−0.304403	+	1.33368i	0.559002	+	0.829166i	$0.311184\pi$
$607$	−7.49970	+	32.8583i	−0.304403	+	1.33368i	−0.863405	+	0.504511i	$0.831673\pi$
$608$	7.23094			0.293253
$609$	7.62014			0.308784
$610$	0.104344	−	0.457161i	0.00422476	−	0.0185099i
$611$	0.702333	+	0.880698i	0.0284134	+	0.0356292i
$612$	0.984210	+	4.31210i	0.0397843	+	0.174306i
$613$	7.67242	+	9.62092i	0.309886	+	0.388585i	0.912248	−	0.409638i	$-0.134345\pi$
$613$	7.67242	+	9.62092i	0.309886	+	0.388585i	−0.602362	+	0.798223i	$0.705774\pi$
$614$	20.9196	−	10.0743i	0.844246	−	0.406568i
$615$	−4.30798	+	18.8745i	−0.173714	+	0.761093i
$616$	−2.84291	+	1.36908i	−0.114544	+	0.0551616i
$617$	−9.90047	+	12.4148i	−0.398578	+	0.499801i	−0.940106	−	0.340882i	$-0.889274\pi$
$617$	−9.90047	+	12.4148i	−0.398578	+	0.499801i	0.541528	+	0.840683i	$0.317846\pi$
$618$	2.01673	+	8.83586i	0.0811247	+	0.355431i
$619$	3.21211	+	14.0732i	0.129106	+	0.565649i	0.997556	+	0.0698727i	$0.0222593\pi$
$619$	3.21211	+	14.0732i	0.129106	+	0.565649i	−0.868450	+	0.495776i	$0.834884\pi$
$620$	7.13102	+	3.43412i	0.286389	+	0.137918i
$621$	7.68374	−	9.63510i	0.308338	−	0.386643i
$622$	−9.42394	−	11.8173i	−0.377866	−	0.473829i
$623$	−14.7834	−	7.11931i	−0.592285	−	0.285229i
$624$	0.569607	+	0.274308i	0.0228025	+	0.0109811i
$625$	0.623490	+	0.781831i	0.0249396	+	0.0312733i
$626$	−7.80748	+	9.79027i	−0.312050	+	0.391298i
$627$	24.8189	+	11.9522i	0.991172	+	0.477323i
$628$	−0.0306020	−	0.134076i	−0.00122115	−	0.00535021i
$629$	7.06013	+	30.9324i	0.281506	+	1.23336i
$630$	−1.34991	+	1.69274i	−0.0537818	+	0.0674402i
$631$	32.9584	−	15.8719i	1.31205	−	0.631852i	0.358628	−	0.933480i	$-0.383245\pi$
$631$	32.9584	−	15.8719i	1.31205	−	0.631852i	0.953425	+	0.301629i	$0.0975303\pi$
$632$	0.601138	−	2.63376i	0.0239120	−	0.104765i
$633$	−36.3154	+	17.4886i	−1.44341	+	0.695109i
$634$	−6.16908	−	7.73578i	−0.245005	−	0.307227i
$635$	−1.26580	−	5.54582i	−0.0502317	−	0.220079i
$636$	7.58760	+	9.51455i	0.300868	+	0.377276i
$637$	0.277474	−	1.21569i	0.0109939	−	0.0481674i
$638$	−3.97823			−0.157500
$639$	−6.91347			−0.273493
$640$	0.222521	−	0.974928i	0.00879591	−	0.0385374i
$641$	18.3951	−	23.0668i	0.726565	−	0.911083i	−0.272125	−	0.962262i	$-0.587726\pi$
$641$	18.3951	−	23.0668i	0.726565	−	0.911083i	0.998690	+	0.0511787i	$0.0162978\pi$
$642$	32.8090	+	15.8000i	1.29487	+	0.623576i
$643$	21.5896	−	10.3970i	0.851411	−	0.410018i	0.0433102	−	0.999062i	$-0.486210\pi$
$643$	21.5896	−	10.3970i	0.851411	−	0.410018i	0.808101	+	0.589044i	$0.200495\pi$
$644$	5.88543			0.231919
$645$	−9.44035	+	9.71092i	−0.371714	+	0.382367i
$646$	−25.2699			−0.994231
$647$	9.73123	−	4.68631i	0.382574	−	0.184238i	−0.232705	−	0.972547i	$-0.574758\pi$
$647$	9.73123	−	4.68631i	0.382574	−	0.184238i	0.615279	+	0.788309i	$0.289043\pi$
$648$	10.0864	+	4.85736i	0.396232	+	0.190815i
$649$	−3.84646	+	4.82331i	−0.150987	+	0.189331i
$650$	−0.0681153	+	0.298433i	−0.00267170	+	0.0117055i
$651$	−27.9642			−1.09600
$652$	16.0933			0.630261
$653$	−0.130545	+	0.571954i	−0.00510861	+	0.0223823i	−0.977418	−	0.211315i	$-0.932225\pi$
$653$	−0.130545	+	0.571954i	−0.00510861	+	0.0223823i	0.972309	+	0.233697i	$0.0750825\pi$
$654$	15.1596	+	19.0095i	0.592787	+	0.743332i
$655$	2.56291	+	11.2289i	0.100141	+	0.438748i
$656$	5.84440	+	7.32865i	0.228186	+	0.286136i
$657$	6.92245	−	3.33367i	0.270070	−	0.130059i
$658$	−1.40081	+	6.13735i	−0.0546092	+	0.239259i
$659$	33.9173	−	16.3337i	1.32123	−	0.636270i	0.365581	−	0.930780i	$-0.380870\pi$
$659$	33.9173	−	16.3337i	1.32123	−	0.636270i	0.955649	+	0.294509i	$0.0951562\pi$
$660$	2.37524	−	2.97846i	0.0924561	−	0.115936i
$661$	4.19083	+	18.3612i	0.163004	+	0.714169i	0.988682	+	0.150027i	$0.0479359\pi$
$661$	4.19083	+	18.3612i	0.163004	+	0.714169i	−0.825678	+	0.564142i	$0.809207\pi$
$662$	−4.85177	−	21.2570i	−0.188570	−	0.826177i
$663$	−1.99060	−	0.958622i	−0.0773085	−	0.0372298i
$664$	4.14815	−	5.20162i	0.160979	−	0.201862i
$665$	−7.71244	−	9.67110i	−0.299076	−	0.375029i
$666$	−10.3526	−	4.98557i	−0.401157	−	0.193187i
$667$	6.68535	+	3.21949i	0.258858	+	0.124659i
$668$	7.36649	+	9.23728i	0.285018	+	0.357401i
$669$	−18.3602	+	23.0230i	−0.709847	+	0.890120i
$670$	3.64437	+	1.75504i	0.140794	+	0.0678030i
$671$	−0.192466	−	0.843247i	−0.00743006	−	0.0325532i
$672$	0.786195	+	3.44455i	0.0303281	+	0.132876i
$673$	23.2501	−	29.1547i	0.896227	−	1.12383i	−0.0954956	−	0.995430i	$-0.530444\pi$
$673$	23.2501	−	29.1547i	0.896227	−	1.12383i	0.991722	−	0.128403i	$-0.0409850\pi$
$674$	−19.0698	+	9.18355i	−0.734543	+	0.353737i
$675$	−0.797083	+	3.49225i	−0.0306797	+	0.134417i
$676$	11.6282	−	5.59983i	0.447237	−	0.215378i
$677$	6.76780	+	8.48655i	0.260108	+	0.326165i	0.894688	−	0.446693i	$-0.147398\pi$
$677$	6.76780	+	8.48655i	0.260108	+	0.326165i	−0.634580	+	0.772857i	$0.718827\pi$
$678$	−0.235440	−	1.03153i	−0.00904202	−	0.0396157i
$679$	−6.55649	−	8.22157i	−0.251615	−	0.315515i
$680$	−0.777642	+	3.40707i	−0.0298212	+	0.130655i
$681$	11.9447			0.457724
$682$	14.5992			0.559031
$683$	8.04942	−	35.2668i	0.308002	−	1.34945i	−0.549727	−	0.835344i	$-0.685268\pi$
$683$	8.04942	−	35.2668i	0.308002	−	1.34945i	0.857729	−	0.514102i	$-0.171875\pi$
$684$	5.70601	−	7.15511i	0.218175	−	0.273582i
$685$	−6.86152	−	3.30433i	−0.262165	−	0.126252i
$686$	17.0673	−	8.21920i	0.651634	−	0.313810i
$687$	30.4134			1.16034
$688$	0.826178	+	6.50518i	0.0314977	+	0.248008i
$689$	−1.80367			−0.0687143
$690$	−6.40195	+	3.08302i	−0.243718	+	0.117368i
$691$	0.897394	+	0.432162i	0.0341385	+	0.0164402i	0.450875	−	0.892587i	$-0.351112\pi$
$691$	0.897394	+	0.432162i	0.0341385	+	0.0164402i	−0.416737	+	0.909027i	$0.636826\pi$
$692$	13.9645	−	17.5109i	0.530851	−	0.665666i
$693$	−0.888655	+	3.89345i	−0.0337572	+	0.147900i
$694$	34.6066			1.31365
$695$	1.02006			0.0386931
$696$	−0.991211	+	4.34278i	−0.0375717	+	0.164613i
$697$	−20.4244	−	25.6114i	−0.773628	−	0.970099i
$698$	−4.07118	−	17.8370i	−0.154096	−	0.675141i
$699$	−23.3811	−	29.3190i	−0.884355	−	1.10895i
$700$	−1.54127	+	0.742235i	−0.0582544	+	0.0280538i
$701$	−9.66995	+	42.3668i	−0.365229	+	1.60017i	0.374473	+	0.927238i	$0.377824\pi$
$701$	−9.66995	+	42.3668i	−0.365229	+	1.60017i	−0.739702	+	0.672935i	$0.765033\pi$
$702$	−0.987907	+	0.475751i	−0.0372861	+	0.0179561i
$703$	40.9315	−	51.3264i	1.54376	−	1.93581i
$704$	−0.410447	−	1.79829i	−0.0154693	−	0.0677755i
$705$	−1.69123	−	7.40977i	−0.0636955	−	0.279068i
$706$	10.6136	+	5.11123i	0.399447	+	0.192364i
$707$	−8.67481	+	10.8779i	−0.326250	+	0.409104i
$708$	4.30692	+	5.40070i	0.161864	+	0.202971i
$709$	35.4137	+	17.0543i	1.32999	+	0.640489i	0.957738	−	0.287644i	$-0.0928719\pi$
$709$	35.4137	+	17.0543i	1.32999	+	0.640489i	0.372251	+	0.928132i	$0.378586\pi$
$710$	−4.92150	−	2.37007i	−0.184701	−	0.0889471i
$711$	−2.13177	−	2.67316i	−0.0799478	−	0.100251i
$712$	5.98035	−	7.49912i	0.224123	−	0.281041i
$713$	−24.5337	−	11.8148i	−0.918793	−	0.442468i
$714$	−2.74751	−	12.0376i	−0.102823	−	0.450497i
$715$	0.125641	+	0.550468i	0.00469870	+	0.0205863i
$716$	−8.32640	+	10.4410i	−0.311172	+	0.390197i
$717$	−36.4284	+	17.5430i	−1.36044	+	0.655155i
$718$	−7.11824	+	31.1870i	−0.265650	+	1.16389i
$719$	16.4173	−	7.90615i	0.612262	−	0.294850i	−0.101939	−	0.994791i	$-0.532505\pi$
$719$	16.4173	−	7.90615i	0.612262	−	0.294850i	0.714201	+	0.699941i	$0.246790\pi$
$720$	−0.789110	−	0.989513i	−0.0294084	−	0.0368770i
$721$	−1.67041	−	7.31855i	−0.0622094	−	0.272557i
$722$	20.7538	+	26.0244i	0.772376	+	0.968529i
$723$	0.162228	−	0.710766i	0.00603331	−	0.0264337i
$724$	−14.7264			−0.547303
$725$	−2.15677			−0.0801003
$726$	−3.49176	+	15.2984i	−0.129592	+	0.567778i
$727$	22.5394	−	28.2635i	0.835940	−	1.04824i	−0.162169	−	0.986763i	$-0.551849\pi$
$727$	22.5394	−	28.2635i	0.835940	−	1.04824i	0.998109	−	0.0614726i	$-0.0195797\pi$
$728$	−0.471793	−	0.227203i	−0.0174858	−	0.00842072i
$729$	−7.23085	+	3.48220i	−0.267809	+	0.128970i
$730$	6.07074			0.224688
$731$	−2.88723	−	22.7336i	−0.106788	−	0.840833i
$732$	−0.968474			−0.0357958
$733$	−16.1054	+	7.75594i	−0.594866	+	0.286472i	−0.706992	−	0.707222i	$-0.749948\pi$
$733$	−16.1054	+	7.75594i	−0.594866	+	0.286472i	0.112126	+	0.993694i	$0.464234\pi$
$734$	13.2312	+	6.37183i	0.488374	+	0.235188i
$735$	−5.24564	+	6.57782i	−0.193488	+	0.242627i
$736$	−0.765564	+	3.35416i	−0.0282191	+	0.123636i
$737$	7.46104			0.274831
$738$	11.8637			0.436708
$739$	−9.96454	+	43.6575i	−0.366552	+	1.60597i	0.369627	+	0.929180i	$0.379485\pi$
$739$	−9.96454	+	43.6575i	−0.366552	+	1.60597i	−0.736179	+	0.676787i	$0.763372\pi$
$740$	−5.66060	−	7.09817i	−0.208088	−	0.260934i
$741$	1.01726	+	4.45690i	0.0373699	+	0.163728i
$742$	−6.28464	−	7.88069i	−0.230716	−	0.289309i
$743$	−23.3087	+	11.2249i	−0.855113	+	0.411801i	−0.809473	−	0.587157i	$-0.800247\pi$
$743$	−23.3087	+	11.2249i	−0.855113	+	0.411801i	−0.0456401	+	0.998958i	$0.514533\pi$
$744$	3.63752	−	15.9370i	0.133358	−	0.584279i
$745$	3.07546	−	1.48106i	0.112676	−	0.0542620i
$746$	−5.61252	+	7.03788i	−0.205489	+	0.257675i
$747$	−1.87372	−	8.20929i	−0.0685557	−	0.300362i
$748$	1.43438	+	6.28445i	0.0524463	+	0.229782i
$749$	−27.1750	−	13.0868i	−0.992952	−	0.478181i
$750$	1.28772	−	1.61475i	0.0470209	−	0.0589623i
$751$	−17.2684	−	21.6539i	−0.630132	−	0.790160i	0.359599	−	0.933107i	$-0.382914\pi$
$751$	−17.2684	−	21.6539i	−0.630132	−	0.790160i	−0.989730	+	0.142947i	$0.954342\pi$
$752$	−3.31551	−	1.59666i	−0.120904	−	0.0582244i
$753$	31.3000	+	15.0733i	1.14064	+	0.549302i
$754$	−0.411629	−	0.516167i	−0.0149907	−	0.0187977i
$755$	−6.49978	+	8.15046i	−0.236551	+	0.296626i
$756$	−5.52090	−	2.65873i	−0.200793	−	0.0966969i
$757$	−8.08139	−	35.4069i	−0.293723	−	1.28689i	−0.879300	−	0.476268i	$-0.841989\pi$
$757$	−8.08139	−	35.4069i	−0.293723	−	1.28689i	0.585577	−	0.810617i	$-0.300868\pi$
$758$	5.62138	+	24.6289i	0.204178	+	0.894561i
$759$	−8.17181	+	10.2471i	−0.296618	+	0.371947i
$760$	6.51485	−	3.13739i	0.236319	−	0.113805i
$761$	−2.88198	+	12.6268i	−0.104472	+	0.457721i	0.895449	+	0.445163i	$0.146854\pi$
$761$	−2.88198	+	12.6268i	−0.104472	+	0.457721i	−0.999921	+	0.0125573i	$0.996003\pi$
$762$	−10.5851	+	5.09752i	−0.383458	+	0.184664i
$763$	−12.5564	−	15.7452i	−0.454571	−	0.570014i
$764$	−5.57082	−	24.4073i	−0.201545	−	0.883026i
$765$	2.75769	+	3.45804i	0.0997047	+	0.125026i
$766$	−3.39376	+	14.8690i	−0.122622	+	0.537241i
$767$	−1.02381			−0.0369676
$768$	−2.06534			−0.0745266
$769$	5.39041	−	23.6169i	0.194383	−	0.851648i	−0.779825	−	0.625998i	$-0.784692\pi$
$769$	5.39041	−	23.6169i	0.194383	−	0.851648i	0.974208	−	0.225651i	$-0.0724509\pi$
$770$	−1.96736	+	2.46699i	−0.0708987	+	0.0889041i
$771$	13.6727	+	6.58442i	0.492410	+	0.237132i
$772$	6.85975	−	3.30348i	0.246888	−	0.118895i
$773$	26.0770			0.937926			0.468963	−	0.883218i	$-0.344628\pi$
$773$	26.0770			0.937926			0.468963	+	0.883218i	$0.344628\pi$
$774$	7.08891	+	4.31579i	0.254806	+	0.155128i
$775$	7.91484			0.284309
$776$	5.53839	−	2.66715i	0.198817	−	0.0957451i
$777$	28.9003	+	13.9177i	1.03679	+	0.499293i
$778$	−2.72593	+	3.41821i	−0.0977295	+	0.122549i
$779$	−15.0826	+	66.0812i	−0.540391	+	2.36761i
$780$	0.632216			0.0226370
$781$	−10.0757			−0.360536
$782$	2.67541	−	11.7217i	0.0956724	−	0.419168i
$783$	−4.81687	−	6.04017i	−0.172141	−	0.215858i
$784$	0.906458	+	3.97145i	0.0323735	+	0.141838i
$785$	−0.0857448	−	0.107521i	−0.00306036	−	0.00383757i
$786$	21.4321	−	10.3212i	0.764458	−	0.368143i
$787$	−0.229815	+	1.00688i	−0.00819202	+	0.0358916i	−0.978859	−	0.204537i	$-0.934431\pi$
$787$	−0.229815	+	1.00688i	−0.00819202	+	0.0358916i	0.970667	+	0.240429i	$0.0772881\pi$
$788$	22.8582	−	11.0079i	0.814288	−	0.392141i
$789$	−38.0647	+	47.7316i	−1.35514	+	1.69929i
$790$	−0.601138	−	2.63376i	−0.0213875	−	0.0937049i
$791$	0.195010	+	0.854393i	0.00693375	+	0.0303787i
$792$	−2.10331	−	1.01290i	−0.0747380	−	0.0359919i
$793$	0.0894951	−	0.112223i	0.00317806	−	0.00398517i
$794$	−21.3867	−	26.8181i	−0.758985	−	0.951738i
$795$	10.9644	+	5.28018i	0.388867	+	0.187269i
$796$	5.23391	+	2.52052i	0.185511	+	0.0893374i
$797$	10.2940	+	12.9083i	0.364633	+	0.457236i	0.929976	−	0.367621i	$-0.119827\pi$
$797$	10.2940	+	12.9083i	0.364633	+	0.457236i	−0.565343	+	0.824856i	$0.691256\pi$
$798$	−15.9288	+	19.9741i	−0.563874	+	0.707076i
$799$	11.5867	+	5.57985i	0.409907	+	0.197401i
$800$	−0.222521	−	0.974928i	−0.00786730	−	0.0344689i
$801$	−2.70132	−	11.8353i	−0.0954465	−	0.418178i
$802$	−2.28906	+	2.87039i	−0.0808295	+	0.101357i
$803$	10.0888	−	4.85849i	0.356024	−	0.171452i
$804$	1.85898	−	8.14474i	0.0655613	−	0.287243i
$805$	5.30259	−	2.55359i	0.186892	−	0.0900024i
$806$	1.51058	+	1.89421i	0.0532081	+	0.0667208i
$807$	−11.8964	−	52.1214i	−0.418772	−	1.83476i
$808$	−5.07098	−	6.35881i	−0.178397	−	0.223702i
$809$	−5.79591	+	25.3936i	−0.203773	+	0.892790i	0.764840	+	0.644220i	$0.222818\pi$
$809$	−5.79591	+	25.3936i	−0.203773	+	0.892790i	−0.968614	+	0.248570i	$0.920039\pi$
$810$	11.1951			0.393355
$811$	1.56879			0.0550876			0.0275438	−	0.999621i	$-0.491231\pi$
$811$	1.56879			0.0550876			0.0275438	+	0.999621i	$0.491231\pi$
$812$	0.820998	−	3.59703i	0.0288114	−	0.126231i
$813$	−14.6682	+	18.3933i	−0.514436	+	0.645083i
$814$	−15.0879	−	7.26595i	−0.528831	−	0.254672i
$815$	14.4995	−	6.98260i	0.507896	−	0.244590i
$816$	7.21773			0.252671
$817$	−33.0515	+	33.9988i	−1.15633	+	1.18947i
$818$	−28.4245			−0.993838
$819$	−0.597117	+	0.287556i	−0.0208650	+	0.0100480i
$820$	8.44541	+	4.06709i	0.294926	+	0.142029i
$821$	25.3442	−	31.7807i	0.884520	−	1.10915i	−0.108835	−	0.994060i	$-0.534712\pi$
$821$	25.3442	−	31.7807i	0.884520	−	1.10915i	0.993355	−	0.115093i	$-0.0367165\pi$
$822$	−3.50004	+	15.3347i	−0.122078	+	0.534858i
$823$	−0.716256			−0.0249671			−0.0124836	−	0.999922i	$-0.503974\pi$
$823$	−0.716256			−0.0249671			−0.0124836	+	0.999922i	$0.503974\pi$
$824$	4.38818			0.152870
$825$	0.847713	−	3.71407i	0.0295136	−	0.129307i
$826$	−3.56732	−	4.47328i	−0.124123	−	0.155645i
$827$	−5.57844	−	24.4407i	−0.193981	−	0.849888i	−0.974434	−	0.224673i	$-0.927869\pi$
$827$	−5.57844	−	24.4407i	−0.193981	−	0.849888i	0.780453	−	0.625215i	$-0.214989\pi$
$828$	2.71487	+	3.40433i	0.0943481	+	0.118309i
$829$	−9.67518	+	4.65932i	−0.336033	+	0.161825i	−0.594289	−	0.804252i	$-0.702566\pi$
$829$	−9.67518	+	4.65932i	−0.336033	+	0.161825i	0.258256	+	0.966077i	$0.416852\pi$
$830$	1.48046	−	6.48631i	0.0513874	−	0.225143i
$831$	−7.23288	+	3.48317i	−0.250906	+	0.120830i
$832$	0.190855	−	0.239324i	0.00661670	−	0.00829708i
$833$	−3.16779	−	13.8790i	−0.109757	−	0.480879i
$834$	−0.468801	−	2.05395i	−0.0162333	−	0.0711226i
$835$	10.6449	+	5.12631i	0.368381	+	0.177403i
$836$	8.31592	−	10.4278i	0.287612	−	0.360654i
$837$	17.6768	+	22.1660i	0.611000	+	0.766170i
$838$	9.86694	+	4.75167i	0.340848	+	0.164144i
$839$	−33.3783	−	16.0742i	−1.15235	−	0.554942i	−0.242610	−	0.970124i	$-0.578004\pi$
$839$	−33.3783	−	16.0742i	−1.15235	−	0.554942i	−0.909738	+	0.415182i	$0.863718\pi$
$840$	2.20287	+	2.76231i	0.0760062	+	0.0953088i
$841$	−15.1809	+	19.0363i	−0.523481	+	0.656424i
$842$	−27.4095	−	13.1997i	−0.944594	−	0.454892i
$843$	0.443608	+	1.94358i	0.0152787	+	0.0669403i
$844$	4.34271	+	19.0266i	0.149482	+	0.654924i
$845$	8.04695	−	10.0906i	0.276823	−	0.347125i
$846$	−4.19622	+	2.02079i	−0.144269	+	0.0694763i
$847$	2.89215	−	12.6713i	0.0993755	−	0.435392i
$848$	5.30876	−	2.55656i	0.182304	−	0.0877928i
$849$	5.53246	+	6.93749i	0.189874	+	0.238094i
$850$	0.777642	+	3.40707i	0.0266729	+	0.116862i
$851$	19.4748	+	24.4206i	0.667588	+	0.837129i
$852$	−2.51044	+	10.9990i	−0.0860064	+	0.376819i
$853$	4.33627			0.148471			0.0742355	−	0.997241i	$-0.476348\pi$
$853$	4.33627			0.148471			0.0742355	+	0.997241i	$0.476348\pi$
$854$	0.802166			0.0274495
$855$	2.03645	−	8.92227i	0.0696451	−	0.305135i
$856$	10.9931	−	13.7849i	0.375737	−	0.471160i
$857$	10.2637	+	4.94274i	0.350601	+	0.168841i	0.600892	−	0.799330i	$-0.294812\pi$
$857$	10.2637	+	4.94274i	0.350601	+	0.168841i	−0.250291	+	0.968171i	$0.580526\pi$
$858$	1.05066	−	0.505970i	0.0358689	−	0.0172735i
$859$	−17.8784			−0.610001			−0.305001	−	0.952352i	$-0.598657\pi$
$859$	−17.8784			−0.610001			−0.305001	+	0.952352i	$0.598657\pi$
$860$	3.56685	+	5.50250i	0.121629	+	0.187634i
$861$	−33.1185			−1.12867
$862$	−33.8990	+	16.3249i	−1.15461	+	0.556029i
$863$	−14.9332	−	7.19147i	−0.508333	−	0.244800i	0.162094	−	0.986775i	$-0.448175\pi$
$863$	−14.9332	−	7.19147i	−0.508333	−	0.244800i	−0.670428	+	0.741975i	$0.733889\pi$
$864$	2.23338	−	2.80056i	0.0759810	−	0.0952772i
$865$	4.98388	−	21.8358i	0.169457	−	0.742439i
$866$	−26.1217			−0.887651
$867$	9.88709			0.335783
$868$	−3.01287	+	13.2003i	−0.102264	+	0.448046i
$869$	−3.10684	−	3.89586i	−0.105392	−	0.132158i
$870$	0.991211	+	4.34278i	0.0336052	+	0.147234i
$871$	0.771998	+	0.968054i	0.0261581	+	0.0328013i
$872$	10.6066	−	5.10787i	0.359185	−	0.172974i
$873$	1.73122	−	7.58498i	0.0585930	−	0.256713i
$874$	−22.4138	+	10.7939i	−0.758158	+	0.365110i
$875$	−1.06659	+	1.33746i	−0.0360573	+	0.0452144i
$876$	−2.79000	−	12.2238i	−0.0942654	−	0.413004i
$877$	−2.12128	−	9.29394i	−0.0716306	−	0.313834i	0.926402	−	0.376537i	$-0.122885\pi$
$877$	−2.12128	−	9.29394i	−0.0716306	−	0.313834i	−0.998032	+	0.0627027i	$0.980028\pi$
$878$	25.3508	+	12.2083i	0.855549	+	0.412011i
$879$	−31.9428	+	40.0550i	−1.07740	+	1.35102i
$880$	−1.15005	−	1.44211i	−0.0387681	−	0.0486136i
$881$	10.6953	+	5.15059i	0.360334	+	0.173528i	0.605287	−	0.796007i	$-0.293058\pi$
$881$	10.6953	+	5.15059i	0.360334	+	0.173528i	−0.244953	+	0.969535i	$0.578773\pi$
$882$	4.64510	+	2.23696i	0.156409	+	0.0753224i
$883$	32.3579	+	40.5755i	1.08893	+	1.36548i	0.925424	+	0.378934i	$0.123709\pi$
$883$	32.3579	+	40.5755i	1.08893	+	1.36548i	0.163507	+	0.986542i	$0.447719\pi$
$884$	−0.666978	+	0.836364i	−0.0224329	+	0.0281300i
$885$	6.22368	+	2.99716i	0.209207	+	0.100749i
$886$	−2.80800	−	12.3027i	−0.0943366	−	0.413316i
$887$	−5.86183	−	25.6824i	−0.196821	−	0.862329i	−0.972814	−	0.231588i	$-0.925608\pi$
$887$	−5.86183	−	25.6824i	−0.196821	−	0.862329i	0.775993	−	0.630741i	$-0.217249\pi$
$888$	−11.6911	+	14.6601i	−0.392327	+	0.491962i
$889$	8.76741	−	4.22216i	0.294049	−	0.141607i
$890$	2.13436	−	9.35125i	0.0715439	−	0.313455i
$891$	18.6047	−	8.95956i	0.623281	−	0.300156i
$892$	8.88968	+	11.1473i	0.297649	+	0.373239i
$893$	−5.92115	−	25.9423i	−0.198144	−	0.868124i
$894$	−4.39563	−	5.51195i	−0.147012	−	0.184347i
$895$	−2.97166	+	13.0197i	−0.0993315	+	0.435200i
$896$	1.71068			0.0571497
$897$	−2.17508			−0.0726240
$898$	−6.38145	+	27.9590i	−0.212952	+	0.933002i
$899$	−10.6433	+	13.3462i	−0.354973	+	0.445122i
$900$	−1.14030	−	0.549138i	−0.0380099	−	0.0183046i
$901$	−18.5525	+	8.93440i	−0.618072	+	0.297648i
$902$	17.2901			0.575697
$903$	−19.7893	−	12.0479i	−0.658547	−	0.400930i
$904$	−0.512292			−0.0170386
$905$	−13.2681	+	6.38956i	−0.441045	+	0.212396i
$906$	19.3986	+	9.34188i	0.644476	+	0.310363i
$907$	−9.69386	+	12.1557i	−0.321879	+	0.403624i	−0.916276	−	0.400548i	$-0.868820\pi$
$907$	−9.69386	+	12.1557i	−0.321879	+	0.403624i	0.594396	+	0.804172i	$0.297391\pi$
$908$	1.28693	−	5.63842i	0.0427084	−	0.187118i
$909$	−10.2937			−0.341420
$910$	−0.523650			−0.0173588
$911$	1.88270	−	8.24865i	0.0623767	−	0.273290i	−0.934116	−	0.356969i	$-0.883810\pi$
$911$	1.88270	−	8.24865i	0.0623767	−	0.273290i	0.996493	+	0.0836794i	$0.0266672\pi$
$912$	−9.31142	−	11.6762i	−0.308332	−	0.386636i
$913$	−2.73075	−	11.9642i	−0.0903747	−	0.395957i
$914$	−13.7010	−	17.1804i	−0.453187	−	0.568279i
$915$	−0.872565	+	0.420205i	−0.0288461	+	0.0138916i
$916$	3.27676	−	14.3564i	0.108267	−	0.474349i
$917$	−17.7517	+	8.54878i	−0.586214	+	0.282306i
$918$	−7.80496	+	9.78710i	−0.257602	+	0.323023i
$919$	−7.14058	−	31.2849i	−0.235546	−	1.03199i	−0.944956	−	0.327198i	$-0.893896\pi$
$919$	−7.14058	−	31.2849i	−0.235546	−	1.03199i	0.709410	−	0.704796i	$-0.248962\pi$
$920$	0.765564	+	3.35416i	0.0252399	+	0.110583i
$921$	−43.2061	−	20.8070i	−1.42369	−	0.685613i
$922$	−8.13629	+	10.2026i	−0.267954	+	0.336004i
$923$	−1.04254	−	1.30730i	−0.0343155	−	0.0430302i
$924$	5.87159	+	2.82761i	0.193161	+	0.0930215i
$925$	−8.17980	−	3.93919i	−0.268950	−	0.129520i
$926$	−11.7345	−	14.7146i	−0.385619	−	0.483551i
$927$	3.46276	−	4.34216i	0.113732	−	0.142615i
$928$	1.94318	+	0.935786i	0.0637880	+	0.0307187i
$929$	−8.56445	−	37.5233i	−0.280990	−	1.23110i	−0.896526	−	0.442990i	$-0.853918\pi$
$929$	−8.56445	−	37.5233i	−0.280990	−	1.23110i	0.615536	−	0.788109i	$-0.288940\pi$
$930$	−3.63752	−	15.9370i	−0.119279	−	0.522595i
$931$	−18.3654	+	23.0295i	−0.601903	+	0.754762i
$932$	−16.3589	+	7.87803i	−0.535853	+	0.258053i
$933$	−6.94650	+	30.4346i	−0.227418	+	0.996384i
$934$	14.2190	−	6.84749i	0.465258	−	0.224057i
$935$	4.01906	+	5.03974i	0.131437	+	0.164817i
$936$	−0.0862090	−	0.377706i	−0.00281783	−	0.0123457i
$937$	−21.4656	−	26.9170i	−0.701251	−	0.879341i	0.295865	−	0.955230i	$-0.404392\pi$
$937$	−21.4656	−	26.9170i	−0.701251	−	0.879341i	−0.997116	+	0.0758887i	$0.975821\pi$
$938$	−1.53976	+	6.74611i	−0.0502748	+	0.220268i
$939$	25.8627			0.843996
$940$	−3.67994			−0.120026
$941$	11.1046	−	48.6526i	0.362001	−	1.58603i	−0.386109	−	0.922453i	$-0.626181\pi$
$941$	11.1046	−	48.6526i	0.362001	−	1.58603i	0.748110	−	0.663575i	$-0.230962\pi$
$942$	−0.177092	+	0.222067i	−0.00576998	+	0.00723532i
$943$	−29.0557	−	13.9925i	−0.946184	−	0.455658i
$944$	3.01339	−	1.45117i	0.0980775	−	0.0472316i
$945$	−6.12774			−0.199335
$946$	10.3314	+	6.28983i	0.335901	+	0.204500i
$947$	33.4768			1.08785			0.543925	−	0.839134i	$-0.316938\pi$
$947$	33.4768			1.08785			0.543925	+	0.839134i	$0.316938\pi$
$948$	−5.02696	+	2.42085i	−0.163268	+	0.0786257i
$949$	1.67427	+	0.806285i	0.0543490	+	0.0261731i
$950$	4.50842	−	5.65338i	0.146272	−	0.183420i
$951$	−4.54730	+	19.9230i	−0.147456	+	0.646048i
$952$	−5.97828			−0.193757
$953$	−13.0224			−0.421837			−0.210918	−	0.977504i	$-0.567645\pi$
$953$	−13.0224			−0.421837			−0.210918	+	0.977504i	$0.567645\pi$
$954$	1.65944	−	7.27050i	0.0537265	−	0.235391i
$955$	−15.6091	−	19.5732i	−0.505098	−	0.633373i
$956$	4.35622	+	19.0858i	0.140890	+	0.617280i
$957$	5.12284	+	6.42384i	0.165598	+	0.207653i
$958$	−1.17337	+	0.565067i	−0.0379100	+	0.0182565i
$959$	2.89900	−	12.7014i	0.0936137	−	0.410149i
$960$	−1.86081	+	0.896118i	−0.0600573	+	0.0289221i
$961$	19.7301	−	24.7408i	0.636456	−	0.798091i
$962$	−0.618412	−	2.70944i	−0.0199384	−	0.0873558i
$963$	−4.96559	−	21.7557i	−0.160014	−	0.701067i
$964$	−0.318033	−	0.153157i	−0.0102432	−	0.00493284i
$965$	4.74709	−	5.95266i	0.152814	−	0.191623i
$966$	−7.57879	−	9.50350i	−0.243843	−	0.305770i
$967$	−39.3177	−	18.9344i	−1.26437	−	0.608889i	−0.323044	−	0.946384i	$-0.604706\pi$
$967$	−39.3177	−	18.9344i	−1.26437	−	0.608889i	−0.941327	+	0.337495i	$0.890420\pi$
$968$	6.84529	+	3.29652i	0.220016	+	0.105954i
$969$	32.5405	+	40.8045i	1.04535	+	1.31083i
$970$	3.83269	−	4.80604i	0.123060	−	0.154313i
$971$	−21.3667	−	10.2897i	−0.685691	−	0.330211i	0.0583968	−	0.998293i	$-0.481401\pi$
$971$	−21.3667	−	10.2897i	−0.685691	−	0.330211i	−0.744087	+	0.668082i	$0.767115\pi$
$972$	−2.75380	−	12.0652i	−0.0883282	−	0.386991i
$973$	0.388298	+	1.70124i	0.0124483	+	0.0545393i
$974$	−4.83951	+	6.06855i	−0.155068	+	0.194449i
$975$	0.569607	−	0.274308i	0.0182420	−	0.00878489i
$976$	−0.104344	+	0.457161i	−0.00333997	+	0.0146334i
$977$	−49.3730	+	23.7768i	−1.57958	+	0.760687i	−0.998583	−	0.0532176i	$-0.983052\pi$
$977$	−49.3730	+	23.7768i	−1.57958	+	0.760687i	−0.580999	+	0.813904i	$0.697338\pi$
$978$	−20.7236	−	25.9866i	−0.662668	−	0.830959i
$979$	−3.93690	−	17.2487i	−0.125824	−	0.551270i
$980$	2.53984	+	3.18486i	0.0811322	+	0.101737i
$981$	3.31548	−	14.5260i	0.105855	−	0.463781i
$982$	−6.42390			−0.204995
$983$	−33.6188			−1.07227			−0.536137	−	0.844131i	$-0.680117\pi$
$983$	−33.6188			−1.07227			−0.536137	+	0.844131i	$0.680117\pi$
$984$	4.30798	−	18.8745i	0.137333	−	0.601697i
$985$	15.8183	−	19.8356i	0.504014	−	0.632014i
$986$	−6.79081	−	3.27028i	−0.216264	−	0.104147i
$987$	11.7141	−	5.64122i	0.372865	−	0.179562i
$988$	2.21344			0.0704190
$989$	−12.2715	−	18.9309i	−0.390210	−	0.601967i
$990$	−2.33450			−0.0741954
$991$	40.1856	−	19.3524i	1.27654	−	0.614748i	0.332040	−	0.943265i	$-0.392263\pi$
$991$	40.1856	−	19.3524i	1.27654	−	0.614748i	0.944498	+	0.328517i	$0.106549\pi$
$992$	−7.13102	−	3.43412i	−0.226410	−	0.109033i
$993$	−28.0770	+	35.2075i	−0.890997	+	1.11727i
$994$	2.07934	−	9.11020i	0.0659528	−	0.288958i
$995$	5.80921			0.184164
$996$	−13.7410			−0.435399
$997$	11.4709	−	50.2573i	0.363287	−	1.59166i	−0.381504	−	0.924367i	$-0.624594\pi$
$997$	11.4709	−	50.2573i	0.363287	−	1.59166i	0.744791	−	0.667297i	$-0.232549\pi$
$998$	12.1881	+	15.2834i	0.385809	+	0.483789i
$999$	−7.23663	−	31.7058i	−0.228957	−	1.00313i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.b.41.3	yes	18
43.21	even	7	inner	430.2.k.b.21.3	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.b.21.3	✓	18	43.21	even	7	inner
430.2.k.b.41.3	yes	18	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.900969 + 0.433884i) q^{2} +(1.86081 + 0.896118i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.222521 - 0.974928i) q^{5} -2.06534 q^{6} +1.71068 q^{7} +(-0.222521 + 0.974928i) q^{8} +(0.789110 + 0.989513i) q^{9} +O(q^{10})\)	\(q+(-0.900969 + 0.433884i) q^{2} +(1.86081 + 0.896118i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.222521 - 0.974928i) q^{5} -2.06534 q^{6} +1.71068 q^{7} +(-0.222521 + 0.974928i) q^{8} +(0.789110 + 0.989513i) q^{9} +(0.222521 + 0.974928i) q^{10} +(1.15005 + 1.44211i) q^{11} +(1.86081 - 0.896118i) q^{12} +(-0.0681153 + 0.298433i) q^{13} +(-1.54127 + 0.742235i) q^{14} +(1.28772 - 1.61475i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(0.777642 + 3.40707i) q^{17} +(-1.14030 - 0.549138i) q^{18} +(4.50842 - 5.65338i) q^{19} +(-0.623490 - 0.781831i) q^{20} +(3.18324 + 1.53297i) q^{21} +(-1.66187 - 0.800313i) q^{22} +(2.14506 + 2.68982i) q^{23} +(-1.28772 + 1.61475i) q^{24} +(-0.900969 - 0.433884i) q^{25} +(-0.0681153 - 0.298433i) q^{26} +(-0.797083 - 3.49225i) q^{27} +(1.06659 - 1.33746i) q^{28} +(1.94318 - 0.935786i) q^{29} +(-0.459582 + 2.01356i) q^{30} +(-7.13102 + 3.43412i) q^{31} +(0.623490 + 0.781831i) q^{32} +(0.847713 + 3.71407i) q^{33} +(-2.17890 - 2.73226i) q^{34} +(0.380661 - 1.66779i) q^{35} +1.26563 q^{36} +9.07890 q^{37} +(-1.60904 + 7.04965i) q^{38} +(-0.394180 + 0.494286i) q^{39} +(0.900969 + 0.433884i) q^{40} +(-8.44541 + 4.06709i) q^{41} -3.53313 q^{42} +(-6.52593 - 0.642076i) q^{43} +1.84453 q^{44} +(1.14030 - 0.549138i) q^{45} +(-3.09971 - 1.49274i) q^{46} +(2.29440 - 2.87709i) q^{47} +(0.459582 - 2.01356i) q^{48} -4.07359 q^{49} +1.00000 q^{50} +(-1.60610 + 7.03676i) q^{51} +(0.190855 + 0.239324i) q^{52} +(1.31116 + 5.74455i) q^{53} +(2.23338 + 2.80056i) q^{54} +(1.66187 - 0.800313i) q^{55} +(-0.380661 + 1.66779i) q^{56} +(13.4554 - 6.47978i) q^{57} +(-1.34472 + 1.68623i) q^{58} +(0.744246 + 3.26075i) q^{59} +(-0.459582 - 2.01356i) q^{60} +(-0.422480 - 0.203456i) q^{61} +(4.93482 - 6.18807i) q^{62} +(1.34991 + 1.69274i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(0.275793 + 0.132815i) q^{65} +(-2.37524 - 2.97846i) q^{66} +(2.52198 - 3.16247i) q^{67} +(3.14861 + 1.51629i) q^{68} +(1.58115 + 6.92748i) q^{69} +(0.380661 + 1.66779i) q^{70} +(-3.40578 + 4.27072i) q^{71} +(-1.14030 + 0.549138i) q^{72} +(1.35087 - 5.91853i) q^{73} +(-8.17980 + 3.93919i) q^{74} +(-1.28772 - 1.61475i) q^{75} +(-1.60904 - 7.04965i) q^{76} +(1.96736 + 2.46699i) q^{77} +(0.140681 - 0.616365i) q^{78} -2.70149 q^{79} -1.00000 q^{80} +(2.49114 - 10.9144i) q^{81} +(5.84440 - 7.32865i) q^{82} +(-5.99425 - 2.88668i) q^{83} +(3.18324 - 1.53297i) q^{84} +3.49469 q^{85} +(6.15824 - 2.25300i) q^{86} +4.45446 q^{87} +(-1.66187 + 0.800313i) q^{88} +(-8.64185 - 4.16170i) q^{89} +(-0.789110 + 0.989513i) q^{90} +(-0.116523 + 0.510521i) q^{91} +3.44041 q^{92} -16.3468 q^{93} +(-0.818863 + 3.58767i) q^{94} +(-4.50842 - 5.65338i) q^{95} +(0.459582 + 2.01356i) q^{96} +(-3.83269 - 4.80604i) q^{97} +(3.67018 - 1.76746i) q^{98} +(-0.519476 + 2.27597i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

Introduction

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