LMFDB - Embedded newform 430.2.k.b.121.3

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			121.3
Root			$-1.47148 + 0.708626i$ of defining polynomial
Character	$\chi$	$=$	430.121
Dual form			430.2.k.b.231.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.222521 + 0.974928i) q^{2} +(0.363425 + 1.59227i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-0.623490 + 0.781831i) q^{5} -1.63322 q^{6} -1.57959 q^{7} +(0.623490 - 0.781831i) q^{8} +(0.299667 - 0.144312i) q^{9} +O(q^{10})$	\(q+(-0.222521 + 0.974928i) q^{2} +(0.363425 + 1.59227i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-0.623490 + 0.781831i) q^{5} -1.63322 q^{6} -1.57959 q^{7} +(0.623490 - 0.781831i) q^{8} +(0.299667 - 0.144312i) q^{9} +(-0.623490 - 0.781831i) q^{10} +(-3.64379 + 1.75476i) q^{11} +(0.363425 - 1.59227i) q^{12} +(-2.75336 + 3.45261i) q^{13} +(0.351491 - 1.53998i) q^{14} +(-1.47148 - 0.708626i) q^{15} +(0.623490 + 0.781831i) q^{16} +(-0.0798115 - 0.100080i) q^{17} +(0.0740117 + 0.324266i) q^{18} +(-3.10478 - 1.49518i) q^{19} +(0.900969 - 0.433884i) q^{20} +(-0.574060 - 2.51512i) q^{21} +(-0.899941 - 3.94290i) q^{22} +(-2.67552 + 1.28846i) q^{23} +(1.47148 + 0.708626i) q^{24} +(-0.222521 - 0.974928i) q^{25} +(-2.75336 - 3.45261i) q^{26} +(3.39357 + 4.25540i) q^{27} +(1.42316 + 0.685356i) q^{28} +(-0.120782 + 0.529179i) q^{29} +(1.01829 - 1.27690i) q^{30} +(1.42974 - 6.26412i) q^{31} +(-0.900969 + 0.433884i) q^{32} +(-4.11828 - 5.16416i) q^{33} +(0.115331 - 0.0555405i) q^{34} +(0.984855 - 1.23497i) q^{35} -0.332605 q^{36} +9.65696 q^{37} +(2.14857 - 2.69422i) q^{38} +(-6.49812 - 3.12933i) q^{39} +(0.222521 + 0.974928i) q^{40} +(-1.01039 + 4.42682i) q^{41} +2.57980 q^{42} +(-5.90813 + 2.84501i) q^{43} +4.04430 q^{44} +(-0.0740117 + 0.324266i) q^{45} +(-0.660799 - 2.89515i) q^{46} +(5.95449 + 2.86753i) q^{47} +(-1.01829 + 1.27690i) q^{48} -4.50491 q^{49} +1.00000 q^{50} +(0.130349 - 0.163453i) q^{51} +(3.97873 - 1.91605i) q^{52} +(7.69150 + 9.64483i) q^{53} +(-4.90385 + 2.36157i) q^{54} +(0.899941 - 3.94290i) q^{55} +(-0.984855 + 1.23497i) q^{56} +(1.25238 - 5.48702i) q^{57} +(-0.489035 - 0.235507i) q^{58} +(-0.649542 - 0.814500i) q^{59} +(1.01829 + 1.27690i) q^{60} +(0.372428 + 1.63171i) q^{61} +(5.78892 + 2.78780i) q^{62} +(-0.473350 + 0.227953i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(-0.982664 - 4.30533i) q^{65} +(5.95109 - 2.86589i) q^{66} +(-4.12798 - 1.98793i) q^{67} +(0.0284844 + 0.124798i) q^{68} +(-3.02393 - 3.79189i) q^{69} +(0.984855 + 1.23497i) q^{70} +(0.741145 + 0.356917i) q^{71} +(0.0740117 - 0.324266i) q^{72} +(-6.79156 + 8.51635i) q^{73} +(-2.14888 + 9.41484i) q^{74} +(1.47148 - 0.708626i) q^{75} +(2.14857 + 2.69422i) q^{76} +(5.75567 - 2.77178i) q^{77} +(4.49684 - 5.63886i) q^{78} -7.44115 q^{79} -1.00000 q^{80} +(-4.92031 + 6.16987i) q^{81} +(-4.09099 - 1.97012i) q^{82} +(0.532798 + 2.33434i) q^{83} +(-0.574060 + 2.51512i) q^{84} +0.128008 q^{85} +(-1.45899 - 6.39307i) q^{86} -0.886490 q^{87} +(-0.899941 + 3.94290i) q^{88} +(3.45666 + 15.1446i) q^{89} +(-0.299667 - 0.144312i) q^{90} +(4.34917 - 5.45369i) q^{91} +2.96960 q^{92} +10.4938 q^{93} +(-4.12064 + 5.16712i) q^{94} +(3.10478 - 1.49518i) q^{95} +(-1.01829 - 1.27690i) q^{96} +(10.4313 - 5.02347i) q^{97} +(1.00244 - 4.39196i) q^{98} +(-0.838691 + 1.05168i) 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 $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.222521	+	0.974928i	−0.157346	+	0.689378i
$2$	−0.222521	+	0.974928i	−0.157346	+	0.689378i
$3$	0.363425	+	1.59227i	0.209823	+	0.919296i	0.964684	+	0.263411i	$0.0848475\pi$
$3$	0.363425	+	1.59227i	0.209823	+	0.919296i	−0.754860	+	0.655886i	$0.772295\pi$
$4$	−0.900969	−	0.433884i	−0.450484	−	0.216942i
$5$	−0.623490	+	0.781831i	−0.278833	+	0.349646i
$5$	−0.623490	+	0.781831i	−0.278833	+	0.349646i
$6$	−1.63322			−0.666758
$7$	−1.57959			−0.597027			−0.298514	−	0.954405i	$-0.596491\pi$
$7$	−1.57959			−0.597027			−0.298514	+	0.954405i	$0.596491\pi$
$8$	0.623490	−	0.781831i	0.220437	−	0.276419i
$9$	0.299667	−	0.144312i	0.0998890	−	0.0481040i
$10$	−0.623490	−	0.781831i	−0.197165	−	0.247237i
$11$	−3.64379	+	1.75476i	−1.09864	+	0.529079i	−0.893231	−	0.449597i	$-0.851568\pi$
$11$	−3.64379	+	1.75476i	−1.09864	+	0.529079i	−0.205412	+	0.978676i	$0.565853\pi$
$12$	0.363425	−	1.59227i	0.104912	−	0.459648i
$13$	−2.75336	+	3.45261i	−0.763646	+	0.957582i	−0.999900	−	0.0141095i	$-0.995509\pi$
$13$	−2.75336	+	3.45261i	−0.763646	+	0.957582i	0.236255	+	0.971691i	$0.424080\pi$
$14$	0.351491	−	1.53998i	0.0939399	−	0.411577i
$15$	−1.47148	−	0.708626i	−0.379934	−	0.182966i
$16$	0.623490	+	0.781831i	0.155872	+	0.195458i
$17$	−0.0798115	−	0.100080i	−0.0193571	−	0.0242731i	0.772059	−	0.635551i	$-0.219227\pi$
$17$	−0.0798115	−	0.100080i	−0.0193571	−	0.0242731i	−0.791416	+	0.611278i	$0.790656\pi$
$18$	0.0740117	+	0.324266i	0.0174447	+	0.0764303i
$19$	−3.10478	−	1.49518i	−0.712285	−	0.343018i	0.0424047	−	0.999101i	$-0.486498\pi$
$19$	−3.10478	−	1.49518i	−0.712285	−	0.343018i	−0.754689	+	0.656082i	$0.772212\pi$
$20$	0.900969	−	0.433884i	0.201463	−	0.0970194i
$21$	−0.574060	−	2.51512i	−0.125270	−	0.548845i
$22$	−0.899941	−	3.94290i	−0.191868	−	0.840629i
$23$	−2.67552	+	1.28846i	−0.557885	+	0.268663i	−0.691508	−	0.722369i	$-0.743053\pi$
$23$	−2.67552	+	1.28846i	−0.557885	+	0.268663i	0.133623	+	0.991032i	$0.457339\pi$
$24$	1.47148	+	0.708626i	0.300364	+	0.144648i
$25$	−0.222521	−	0.974928i	−0.0445042	−	0.194986i
$26$	−2.75336	−	3.45261i	−0.539979	−	0.677113i
$27$	3.39357	+	4.25540i	0.653093	+	0.818953i
$28$	1.42316	+	0.685356i	0.268951	+	0.129520i
$29$	−0.120782	+	0.529179i	−0.0224286	+	0.0982662i	−0.984903	−	0.173105i	$-0.944620\pi$
$29$	−0.120782	+	0.529179i	−0.0224286	+	0.0982662i	0.962475	+	0.271371i	$0.0874771\pi$
$30$	1.01829	−	1.27690i	0.185914	−	0.233129i
$31$	1.42974	−	6.26412i	0.256790	−	1.12507i	−0.667871	−	0.744277i	$-0.732794\pi$
$31$	1.42974	−	6.26412i	0.256790	−	1.12507i	0.924661	−	0.380792i	$-0.124349\pi$
$32$	−0.900969	+	0.433884i	−0.159270	+	0.0767005i
$33$	−4.11828	−	5.16416i	−0.716901	−	0.898965i
$34$	0.115331	−	0.0555405i	0.0197791	−	0.00952511i
$35$	0.984855	−	1.23497i	0.166471	−	0.208748i
$36$	−0.332605			−0.0554342
$37$	9.65696			1.58759			0.793797	−	0.608182i	$-0.208101\pi$
$37$	9.65696			1.58759			0.793797	+	0.608182i	$0.208101\pi$
$38$	2.14857	−	2.69422i	0.348544	−	0.437061i
$39$	−6.49812	−	3.12933i	−1.04053	−	0.501094i
$40$	0.222521	+	0.974928i	0.0351836	+	0.154150i
$41$	−1.01039	+	4.42682i	−0.157797	+	0.691353i	0.832689	+	0.553740i	$0.186800\pi$
$41$	−1.01039	+	4.42682i	−0.157797	+	0.691353i	−0.990486	+	0.137612i	$0.956057\pi$
$42$	2.57980			0.398072
$43$	−5.90813	+	2.84501i	−0.900981	+	0.433859i
$43$	−5.90813	+	2.84501i	−0.900981	+	0.433859i
$44$	4.04430			0.609701
$45$	−0.0740117	+	0.324266i	−0.0110330	+	0.0483388i
$46$	−0.660799	−	2.89515i	−0.0974295	−	0.426867i
$47$	5.95449	+	2.86753i	0.868552	+	0.418273i	0.814430	−	0.580262i	$-0.197050\pi$
$47$	5.95449	+	2.86753i	0.868552	+	0.418273i	0.0541220	+	0.998534i	$0.482764\pi$
$48$	−1.01829	+	1.27690i	−0.146978	+	0.184305i
$49$	−4.50491			−0.643559
$50$	1.00000			0.141421
$51$	0.130349	−	0.163453i	0.0182526	−	0.0228880i
$52$	3.97873	−	1.91605i	0.551750	−	0.265709i
$53$	7.69150	+	9.64483i	1.05651	+	1.32482i	0.943554	+	0.331219i	$0.107460\pi$
$53$	7.69150	+	9.64483i	1.05651	+	1.32482i	0.112954	+	0.993600i	$0.463969\pi$
$54$	−4.90385	+	2.36157i	−0.667330	+	0.321369i
$55$	0.899941	−	3.94290i	0.121348	−	0.531660i
$56$	−0.984855	+	1.23497i	−0.131607	+	0.165030i
$57$	1.25238	−	5.48702i	0.165881	−	0.726774i
$58$	−0.489035	−	0.235507i	−0.0642135	−	0.0309236i
$59$	−0.649542	−	0.814500i	−0.0845632	−	0.106039i	0.737750	−	0.675074i	$-0.235888\pi$
$59$	−0.649542	−	0.814500i	−0.0845632	−	0.106039i	−0.822313	+	0.569035i	$0.807317\pi$
$60$	1.01829	+	1.27690i	0.131461	+	0.164847i
$61$	0.372428	+	1.63171i	0.0476845	+	0.208919i	0.993158	−	0.116780i	$-0.0372573\pi$
$61$	0.372428	+	1.63171i	0.0476845	+	0.208919i	−0.945473	+	0.325700i	$0.894400\pi$
$62$	5.78892	+	2.78780i	0.735193	+	0.354050i
$63$	−0.473350	+	0.227953i	−0.0596365	+	0.0287194i
$64$	−0.222521	−	0.974928i	−0.0278151	−	0.121866i
$65$	−0.982664	−	4.30533i	−0.121885	−	0.534011i
$66$	5.95109	−	2.86589i	0.732529	−	0.352767i
$67$	−4.12798	−	1.98793i	−0.504313	−	0.242864i	0.164388	−	0.986396i	$-0.447435\pi$
$67$	−4.12798	−	1.98793i	−0.504313	−	0.242864i	−0.668701	+	0.743532i	$0.733149\pi$
$68$	0.0284844	+	0.124798i	0.00345424	+	0.0151340i
$69$	−3.02393	−	3.79189i	−0.364038	−	0.456489i
$70$	0.984855	+	1.23497i	0.117713	+	0.147607i
$71$	0.741145	+	0.356917i	0.0879577	+	0.0423582i	0.477345	−	0.878716i	$-0.341599\pi$
$71$	0.741145	+	0.356917i	0.0879577	+	0.0423582i	−0.389388	+	0.921074i	$0.627313\pi$
$72$	0.0740117	−	0.324266i	0.00872236	−	0.0382152i
$73$	−6.79156	+	8.51635i	−0.794892	+	0.996763i	0.204946	+	0.978773i	$0.434298\pi$
$73$	−6.79156	+	8.51635i	−0.794892	+	0.996763i	−0.999838	+	0.0179897i	$0.994273\pi$
$74$	−2.14888	+	9.41484i	−0.249802	+	1.09445i
$75$	1.47148	−	0.708626i	0.169912	−	0.0818251i
$76$	2.14857	+	2.69422i	0.246458	+	0.309049i
$77$	5.75567	−	2.77178i	0.655920	−	0.315874i
$78$	4.49684	−	5.63886i	0.509167	−	0.638475i
$79$	−7.44115			−0.837195			−0.418597	−	0.908172i	$-0.637478\pi$
$79$	−7.44115			−0.837195			−0.418597	+	0.908172i	$0.637478\pi$
$80$	−1.00000			−0.111803
$81$	−4.92031	+	6.16987i	−0.546701	+	0.685541i
$82$	−4.09099	−	1.97012i	−0.451775	−	0.217563i
$83$	0.532798	+	2.33434i	0.0584821	+	0.256227i	0.995715	−	0.0924778i	$-0.0294787\pi$
$83$	0.532798	+	2.33434i	0.0584821	+	0.256227i	−0.937233	+	0.348705i	$0.886622\pi$
$84$	−0.574060	+	2.51512i	−0.0626351	+	0.274422i
$85$	0.128008			0.0138844
$86$	−1.45899	−	6.39307i	−0.157327	−	0.689382i
$87$	−0.886490			−0.0950418
$88$	−0.899941	+	3.94290i	−0.0959340	+	0.420314i
$89$	3.45666	+	15.1446i	0.366405	+	1.60533i	0.736571	+	0.676361i	$0.236444\pi$
$89$	3.45666	+	15.1446i	0.366405	+	1.60533i	−0.370165	+	0.928966i	$0.620699\pi$
$90$	−0.299667	−	0.144312i	−0.0315877	−	0.0152118i
$91$	4.34917	−	5.45369i	0.455917	−	0.571702i
$92$	2.96960			0.309603
$93$	10.4938			1.08815
$94$	−4.12064	+	5.16712i	−0.425011	+	0.532947i
$95$	3.10478	−	1.49518i	0.318543	−	0.153402i
$96$	−1.01829	−	1.27690i	−0.103929	−	0.130323i
$97$	10.4313	−	5.02347i	1.05914	−	0.510056i	0.178550	−	0.983931i	$-0.442859\pi$
$97$	10.4313	−	5.02347i	1.05914	−	0.510056i	0.880592	+	0.473875i	$0.157145\pi$
$98$	1.00244	−	4.39196i	0.101261	−	0.443655i
$99$	−0.838691	+	1.05168i	−0.0842916	+	0.105698i
$100$	−0.222521	+	0.974928i	−0.0222521	+	0.0974928i
$101$	4.07238	+	1.96116i	0.405217	+	0.195142i	0.625379	−	0.780321i	$-0.284944\pi$
$101$	4.07238	+	1.96116i	0.405217	+	0.195142i	−0.220162	+	0.975463i	$0.570659\pi$
$102$	0.130349	+	0.163453i	0.0129065	+	0.0161843i
$103$	2.66026	+	3.33587i	0.262124	+	0.328693i	0.895425	−	0.445213i	$-0.146872\pi$
$103$	2.66026	+	3.33587i	0.262124	+	0.328693i	−0.633301	+	0.773905i	$0.718301\pi$
$104$	0.982664	+	4.30533i	0.0963582	+	0.422173i
$105$	2.32432	+	1.11933i	0.226831	+	0.109236i
$106$	−11.1145	+	5.35248i	−1.07954	+	0.519879i
$107$	4.07215	+	17.8412i	0.393669	+	1.72478i	0.651554	+	0.758603i	$0.274118\pi$
$107$	4.07215	+	17.8412i	0.393669	+	1.72478i	−0.257884	+	0.966176i	$0.583025\pi$
$108$	−1.21115	−	5.30640i	−0.116543	−	0.510609i
$109$	10.5565	−	5.08372i	1.01113	−	0.486932i	0.146426	−	0.989222i	$-0.453223\pi$
$109$	10.5565	−	5.08372i	1.01113	−	0.486932i	0.864700	+	0.502289i	$0.167509\pi$
$110$	3.64379	+	1.75476i	0.347421	+	0.167309i
$111$	3.50958	+	15.3765i	0.333115	+	1.45947i
$112$	−0.984855	−	1.23497i	−0.0930601	−	0.116694i
$113$	−4.57931	−	5.74227i	−0.430785	−	0.540187i	0.518304	−	0.855197i	$-0.326564\pi$
$113$	−4.57931	−	5.74227i	−0.430785	−	0.540187i	−0.949089	+	0.315010i	$0.897992\pi$
$114$	5.07077	+	2.44195i	0.474921	+	0.228710i
$115$	0.660799	−	2.89515i	0.0616198	−	0.269974i
$116$	0.338423	−	0.424369i	0.0314218	−	0.0394017i
$117$	−0.326840	+	1.43198i	−0.0302163	+	0.132386i
$118$	0.938616	−	0.452013i	0.0864066	−	0.0416112i
$119$	0.126069	+	0.158086i	0.0115567	+	0.0144917i
$120$	−1.47148	+	0.708626i	−0.134327	+	0.0646884i
$121$	3.33963	−	4.18776i	0.303602	−	0.380705i
$122$	−1.67368			−0.151527
$123$	−7.41588			−0.668667
$124$	−4.00606	+	5.02344i	−0.359754	+	0.451118i
$125$	0.900969	+	0.433884i	0.0805851	+	0.0388077i
$126$	−0.116908	−	0.512206i	−0.0104150	−	0.0456310i
$127$	−0.159590	+	0.699212i	−0.0141614	+	0.0620450i	−0.981515	−	0.191386i	$-0.938702\pi$
$127$	−0.159590	+	0.699212i	−0.0141614	+	0.0620450i	0.967354	+	0.253431i	$0.0815590\pi$
$128$	1.00000			0.0883883
$129$	−6.67717	−	8.37337i	−0.587892	−	0.737234i
$130$	4.41605			0.387314
$131$	−1.09134	+	4.78147i	−0.0953507	+	0.417759i	−0.999964	−	0.00847434i	$-0.997303\pi$
$131$	−1.09134	+	4.78147i	−0.0953507	+	0.417759i	0.904613	+	0.426233i	$0.140160\pi$
$132$	1.46980	+	6.43961i	0.127929	+	0.560496i
$133$	4.90426	+	2.36177i	0.425253	+	0.204791i
$134$	2.85665	−	3.58212i	0.246777	−	0.309448i
$135$	−5.44286			−0.468447
$136$	−0.128008			−0.0109766
$137$	13.3575	−	16.7497i	1.14121	−	1.43103i	0.255481	−	0.966814i	$-0.417766\pi$
$137$	13.3575	−	16.7497i	1.14121	−	1.43103i	0.885724	−	0.464212i	$-0.153663\pi$
$138$	4.36970	−	2.10434i	0.371974	−	0.179133i
$139$	6.41880	+	8.04892i	0.544436	+	0.682701i	0.975596	−	0.219575i	$-0.0704670\pi$
$139$	6.41880	+	8.04892i	0.544436	+	0.682701i	−0.431160	+	0.902275i	$0.641896\pi$
$140$	−1.42316	+	0.685356i	−0.120279	+	0.0579232i
$141$	−2.40187	+	10.5233i	−0.202274	+	0.886220i
$142$	−0.512888	+	0.643142i	−0.0430406	+	0.0539712i
$143$	3.97419	−	17.4121i	0.332338	−	1.45607i
$144$	0.299667	+	0.144312i	0.0249723	+	0.0120260i
$145$	−0.338423	−	0.424369i	−0.0281045	−	0.0352419i
$146$	−6.79156	−	8.51635i	−0.562073	−	0.704818i
$147$	−1.63720	−	7.17303i	−0.135034	−	0.591621i
$148$	−8.70062	−	4.19000i	−0.715187	−	0.344416i
$149$	2.99928	−	1.44438i	0.245710	−	0.118328i	−0.306976	−	0.951717i	$-0.599317\pi$
$149$	2.99928	−	1.44438i	0.245710	−	0.118328i	0.552686	+	0.833389i	$0.313603\pi$
$150$	0.363425	+	1.59227i	0.0296735	+	0.130008i
$151$	−3.92678	−	17.2044i	−0.319557	−	1.40007i	−0.838332	−	0.545160i	$-0.816469\pi$
$151$	−3.92678	−	17.2044i	−0.319557	−	1.40007i	0.518775	−	0.854911i	$-0.326388\pi$
$152$	−3.10478	+	1.49518i	−0.251831	+	0.121275i
$153$	−0.0383597	−	0.0184731i	−0.00310120	−	0.00149346i
$154$	1.42153	+	6.22814i	0.114550	+	0.501878i
$155$	4.00606	+	5.02344i	0.321774	+	0.403492i
$156$	4.49684	+	5.63886i	0.360035	+	0.451470i
$157$	−9.93427	−	4.78409i	−0.792841	−	0.381812i	−0.00679233	−	0.999977i	$-0.502162\pi$
$157$	−9.93427	−	4.78409i	−0.792841	−	0.381812i	−0.786048	+	0.618165i	$0.787876\pi$
$158$	1.65581	−	7.25458i	0.131729	−	0.577144i
$159$	−12.5619	+	15.7521i	−0.996221	+	1.24922i
$160$	0.222521	−	0.974928i	0.0175918	−	0.0770748i
$161$	4.22621	−	2.03524i	0.333072	−	0.160399i
$162$	−4.92031	−	6.16987i	−0.386576	−	0.484751i
$163$	−17.2356	+	8.30020i	−1.34999	+	0.650122i	−0.962382	−	0.271701i	$-0.912414\pi$
$163$	−17.2356	+	8.30020i	−1.34999	+	0.650122i	−0.387611	+	0.921823i	$0.626700\pi$
$164$	2.83106	−	3.55003i	0.221068	−	0.277211i
$165$	6.60521			0.514215
$166$	−2.39437			−0.185839
$167$	9.33234	−	11.7024i	0.722158	−	0.905557i	−0.276300	−	0.961071i	$-0.589108\pi$
$167$	9.33234	−	11.7024i	0.722158	−	0.905557i	0.998458	+	0.0555140i	$0.0176798\pi$
$168$	−2.32432	−	1.11933i	−0.179325	−	0.0863586i
$169$	−1.44673	−	6.33853i	−0.111287	−	0.487579i
$170$	−0.0284844	+	0.124798i	−0.00218465	+	0.00957159i
$171$	−1.14617			−0.0876500
$172$	6.55744		0.000178527i	0.500000		1.36126e-5i
$173$	8.34621			0.634550			0.317275	−	0.948334i	$-0.397232\pi$
$173$	8.34621			0.634550			0.317275	+	0.948334i	$0.397232\pi$
$174$	0.197263	−	0.864264i	0.0149544	−	0.0655197i
$175$	0.351491	+	1.53998i	0.0265702	+	0.116412i
$176$	−3.64379	−	1.75476i	−0.274661	−	0.132270i
$177$	1.06084	−	1.33025i	0.0797378	−	0.0999880i
$178$	−15.5341			−1.16433
$179$	6.73842			0.503653			0.251827	−	0.967772i	$-0.418969\pi$
$179$	6.73842			0.503653			0.251827	+	0.967772i	$0.418969\pi$
$180$	0.207376	−	0.260041i	0.0154569	−	0.0193823i
$181$	3.52711	−	1.69857i	0.262168	−	0.126253i	−0.298183	−	0.954509i	$-0.596381\pi$
$181$	3.52711	−	1.69857i	0.262168	−	0.126253i	0.560351	+	0.828255i	$0.310666\pi$
$182$	4.34917	+	5.45369i	0.322382	+	0.404254i
$183$	−2.46278	+	1.18601i	−0.182054	+	0.0876724i
$184$	−0.660799	+	2.89515i	−0.0487147	+	0.213433i
$185$	−6.02102	+	7.55012i	−0.442674	+	0.555096i
$186$	−2.33508	+	10.2307i	−0.171217	+	0.750149i
$187$	0.466433	+	0.224622i	0.0341090	+	0.0164260i
$188$	−4.12064	−	5.16712i	−0.300528	−	0.376851i
$189$	−5.36043	−	6.72177i	−0.389914	−	0.488937i
$190$	0.766816	+	3.35964i	0.0556307	+	0.243734i
$191$	2.67530	+	1.28836i	0.193578	+	0.0932221i	0.528162	−	0.849144i	$-0.322881\pi$
$191$	2.67530	+	1.28836i	0.193578	+	0.0932221i	−0.334584	+	0.942366i	$0.608596\pi$
$192$	1.47148	−	0.708626i	0.106195	−	0.0511407i
$193$	−1.41576	−	6.20283i	−0.101908	−	0.446490i	−0.999978	−	0.00663643i	$-0.997888\pi$
$193$	−1.41576	−	6.20283i	−0.101908	−	0.446490i	0.898070	−	0.439853i	$-0.144970\pi$
$194$	2.57633	+	11.2876i	0.184970	+	0.810405i
$195$	6.49812	−	3.12933i	0.465340	−	0.224096i
$196$	4.05878	+	1.95461i	0.289913	+	0.139615i
$197$	−3.09263	−	13.5497i	−0.220341	−	0.965376i	−0.957222	−	0.289354i	$-0.906560\pi$
$197$	−3.09263	−	13.5497i	−0.220341	−	0.965376i	0.736882	−	0.676022i	$-0.236298\pi$
$198$	−0.838691	−	1.05168i	−0.0596032	−	0.0747400i
$199$	−2.85675	−	3.58226i	−0.202510	−	0.253939i	0.670198	−	0.742183i	$-0.266209\pi$
$199$	−2.85675	−	3.58226i	−0.202510	−	0.253939i	−0.872708	+	0.488243i	$0.837638\pi$
$200$	−0.900969	−	0.433884i	−0.0637081	−	0.0306802i
$201$	1.66511	−	7.29531i	0.117448	−	0.514571i
$202$	−2.81818	+	3.53388i	−0.198286	+	0.248643i
$203$	0.190785	−	0.835884i	0.0133905	−	0.0586675i
$204$	−0.188360	+	0.0907096i	−0.0131879	+	0.00635094i
$205$	−2.83106	−	3.55003i	−0.197730	−	0.247945i
$206$	−3.84419	+	1.85127i	−0.267838	+	0.128984i
$207$	−0.615825	+	0.772220i	−0.0428028	+	0.0536730i
$208$	−4.41605			−0.306198
$209$	13.9368			0.964030
$210$	−1.60848	+	2.01697i	−0.110996	+	0.139184i
$211$	−22.4040	−	10.7892i	−1.54236	−	0.742760i	−0.546831	−	0.837243i	$-0.684166\pi$
$211$	−22.4040	−	10.7892i	−1.54236	−	0.742760i	−0.995527	+	0.0944825i	$0.969880\pi$
$212$	−2.74506	−	12.0269i	−0.188532	−	0.826011i
$213$	−0.298956	+	1.30981i	−0.0204842	+	0.0897470i
$214$	−18.3001			−1.25097
$215$	1.45934	−	6.39299i	0.0995263	−	0.435998i
$216$	5.44286			0.370340
$217$	−2.25840	+	9.89471i	−0.153310	+	0.671697i
$218$	2.60723	+	11.4230i	0.176584	+	0.773665i
$219$	−16.0285	−	7.71893i	−1.08311	−	0.521597i
$220$	−2.52158	+	3.16196i	−0.170005	+	0.213179i
$221$	0.565289			0.0380255
$222$	−15.7719			−1.05854
$223$	5.19418	−	6.51329i	0.347828	−	0.436162i	−0.576886	−	0.816824i	$-0.695732\pi$
$223$	5.19418	−	6.51329i	0.347828	−	0.436162i	0.924714	+	0.380662i	$0.124304\pi$
$224$	1.42316	−	0.685356i	0.0950887	−	0.0457923i
$225$	−0.207376	−	0.260041i	−0.0138251	−	0.0173361i
$226$	6.61729	−	3.18672i	0.440176	−	0.211977i
$227$	−4.67011	+	20.4611i	−0.309966	+	1.35805i	0.544595	+	0.838699i	$0.316683\pi$
$227$	−4.67011	+	20.4611i	−0.309966	+	1.35805i	−0.854561	+	0.519351i	$0.826174\pi$
$228$	−3.50908	+	4.40025i	−0.232395	+	0.291414i
$229$	1.80875	−	7.92467i	0.119526	−	0.523677i	−0.879346	−	0.476184i	$-0.842020\pi$
$229$	1.80875	−	7.92467i	0.119526	−	0.523677i	0.998872	−	0.0474930i	$-0.0151232\pi$
$230$	2.67552	+	1.28846i	0.176419	+	0.0849587i
$231$	6.50518	+	8.15723i	0.428009	+	0.536707i
$232$	0.338423	+	0.424369i	0.0222186	+	0.0278612i
$233$	1.01912	+	4.46508i	0.0667651	+	0.292517i	0.997277	−	0.0737442i	$-0.0234948\pi$
$233$	1.01912	+	4.46508i	0.0667651	+	0.292517i	−0.930512	+	0.366261i	$0.880638\pi$
$234$	−1.32335	−	0.637290i	−0.0865099	−	0.0416610i
$235$	−5.95449	+	2.86753i	−0.388428	+	0.187057i
$236$	0.231819	+	1.01566i	0.0150901	+	0.0661142i
$237$	−2.70430	−	11.8483i	−0.175663	−	0.769630i
$238$	−0.182175	+	0.0877309i	−0.0118087	+	0.00568675i
$239$	−22.3944	−	10.7846i	−1.44857	−	0.697596i	−0.466226	−	0.884666i	$-0.654387\pi$
$239$	−22.3944	−	10.7846i	−1.44857	−	0.697596i	−0.982347	+	0.187070i	$0.940101\pi$
$240$	−0.363425	−	1.59227i	−0.0234590	−	0.102780i
$241$	6.68938	+	8.38822i	0.430901	+	0.540333i	0.949120	−	0.314915i	$-0.101976\pi$
$241$	6.68938	+	8.38822i	0.430901	+	0.540333i	−0.518219	+	0.855248i	$0.673405\pi$
$242$	3.33963	+	4.18776i	0.214679	+	0.269199i
$243$	3.09931	+	1.49255i	0.198821	+	0.0957471i
$244$	0.372428	−	1.63171i	0.0238423	−	0.104460i
$245$	2.80877	−	3.52208i	0.179445	−	0.225018i
$246$	1.65019	−	7.22995i	0.105212	−	0.460965i
$247$	13.7109	−	6.60280i	0.872401	−	0.420126i
$248$	−4.00606	−	5.02344i	−0.254385	−	0.318988i
$249$	−3.52326	+	1.69671i	−0.223278	+	0.107525i
$250$	−0.623490	+	0.781831i	−0.0394330	+	0.0494474i
$251$	−14.4766			−0.913755			−0.456878	−	0.889530i	$-0.651032\pi$
$251$	−14.4766			−0.913755			−0.456878	+	0.889530i	$0.651032\pi$
$252$	0.525379			0.0330957
$253$	7.48809	−	9.38977i	0.470772	−	0.590330i
$254$	−0.646169	−	0.311178i	−0.0405442	−	0.0195251i
$255$	0.0465212	+	0.203823i	0.00291327	+	0.0127639i
$256$	−0.222521	+	0.974928i	−0.0139076	+	0.0609330i
$257$	−30.9326			−1.92952			−0.964760	−	0.263130i	$-0.915245\pi$
$257$	−30.9326			−1.92952			−0.964760	+	0.263130i	$0.915245\pi$
$258$	9.64925	−	4.64651i	0.600736	−	0.289279i
$259$	−15.2540			−0.947837
$260$	−0.982664	+	4.30533i	−0.0609423	+	0.267005i
$261$	0.0401727	+	0.176008i	0.00248663	+	0.0108946i
$262$	−4.41874	−	2.12795i	−0.272991	−	0.131465i
$263$	−5.76521	+	7.22934i	−0.355498	+	0.445780i	−0.927136	−	0.374726i	$-0.877737\pi$
$263$	−5.76521	+	7.22934i	−0.355498	+	0.445780i	0.571638	+	0.820506i	$0.306308\pi$
$264$	−6.60521			−0.406523
$265$	−12.3362			−0.757807
$266$	−3.39385	+	4.25576i	−0.208090	+	0.260937i
$267$	−22.8581	+	11.0079i	−1.39889	+	0.673670i
$268$	2.85665	+	3.58212i	0.174498	+	0.218813i
$269$	23.0793	−	11.1144i	1.40717	−	0.677656i	0.432566	−	0.901602i	$-0.357608\pi$
$269$	23.0793	−	11.1144i	1.40717	−	0.677656i	0.974602	+	0.223946i	$0.0718939\pi$
$270$	1.21115	−	5.30640i	0.0737083	−	0.322937i
$271$	−2.03372	+	2.55020i	−0.123540	+	0.154914i	−0.839755	−	0.542966i	$-0.817301\pi$
$271$	−2.03372	+	2.55020i	−0.123540	+	0.154914i	0.716215	+	0.697879i	$0.245873\pi$
$272$	0.0284844	−	0.124798i	0.00172712	−	0.00756701i
$273$	10.2643	+	4.94304i	0.621226	+	0.299167i
$274$	13.3575	+	16.7497i	0.806954	+	1.01189i
$275$	2.52158	+	3.16196i	0.152057	+	0.190673i
$276$	1.07923	+	4.72840i	0.0649619	+	0.284617i
$277$	−22.8322	−	10.9954i	−1.37185	−	0.660649i	−0.404607	−	0.914491i	$-0.632592\pi$
$277$	−22.8322	−	10.9954i	−1.37185	−	0.660649i	−0.967246	+	0.253842i	$0.918306\pi$
$278$	−9.27544	+	4.46681i	−0.556304	+	0.267902i
$279$	−0.475541	−	2.08348i	−0.0284699	−	0.124735i
$280$	−0.351491	−	1.53998i	−0.0210056	−	0.0920315i
$281$	27.6755	−	13.3278i	1.65098	−	0.795070i	0.651648	−	0.758521i	$-0.274078\pi$
$281$	27.6755	−	13.3278i	1.65098	−	0.795070i	0.999332	−	0.0365486i	$-0.0116364\pi$
$282$	−9.72497	−	4.68330i	−0.579114	−	0.278886i
$283$	3.38890	+	14.8477i	0.201449	+	0.882607i	0.970055	+	0.242884i	$0.0780935\pi$
$283$	3.38890	+	14.8477i	0.201449	+	0.882607i	−0.768606	+	0.639722i	$0.779049\pi$
$284$	−0.512888	−	0.643142i	−0.0304343	−	0.0381634i
$285$	3.50908	+	4.40025i	0.207860	+	0.260648i
$286$	16.0912	+	7.74909i	0.951490	+	0.458213i
$287$	1.59600	−	6.99253i	0.0942089	−	0.412756i
$288$	−0.207376	+	0.260041i	−0.0122198	+	0.0153231i
$289$	3.77921	−	16.5578i	0.222306	−	0.973988i
$290$	0.489035	−	0.235507i	0.0287171	−	0.0138294i
$291$	11.7897	+	14.7838i	0.691125	+	0.866644i
$292$	9.81409	−	4.72622i	0.574326	−	0.276581i
$293$	4.30027	−	5.39237i	0.251225	−	0.315026i	−0.640188	−	0.768218i	$-0.721144\pi$
$293$	4.30027	−	5.39237i	0.251225	−	0.315026i	0.891413	+	0.453192i	$0.149715\pi$
$294$	7.35749			0.429098
$295$	1.04178			0.0606550
$296$	6.02102	−	7.55012i	0.349965	−	0.438842i
$297$	−19.8326	−	9.55089i	−1.15081	−	0.554199i
$298$	0.740760	+	3.24548i	0.0429111	+	0.188006i
$299$	2.91812	−	12.7851i	0.168759	−	0.739384i
$300$	−1.63322			−0.0942938
$301$	9.33239	−	4.49393i	0.537910	−	0.259026i
$302$	17.6468			1.01546
$303$	−1.64268	+	7.19706i	−0.0943696	+	0.413460i
$304$	−0.766816	−	3.35964i	−0.0439799	−	0.192689i
$305$	−1.50793	−	0.726181i	−0.0863438	−	0.0415810i
$306$	0.0265457	−	0.0332873i	0.00151752	−	0.00190291i
$307$	23.3330			1.33169			0.665843	−	0.746092i	$-0.268072\pi$
$307$	23.3330			1.33169			0.665843	+	0.746092i	$0.268072\pi$
$308$	−6.38831			−0.364008
$309$	−4.34479	+	5.44819i	−0.247166	+	0.309937i
$310$	−5.78892	+	2.78780i	−0.328788	+	0.158336i
$311$	12.1451	+	15.2295i	0.688685	+	0.863584i	0.996122	−	0.0879846i	$-0.0280426\pi$
$311$	12.1451	+	15.2295i	0.688685	+	0.863584i	−0.307437	+	0.951569i	$0.599471\pi$
$312$	−6.49812	+	3.12933i	−0.367884	+	0.177163i
$313$	−1.17637	+	5.15402i	−0.0664925	+	0.291323i	−0.997231	−	0.0743620i	$-0.976308\pi$
$313$	−1.17637	+	5.15402i	−0.0664925	+	0.291323i	0.930739	+	0.365685i	$0.119165\pi$
$314$	6.87473	−	8.62063i	0.387963	−	0.486490i
$315$	0.116908	−	0.512206i	0.00658700	−	0.0288596i
$316$	6.70424	+	3.22859i	0.377143	+	0.181623i
$317$	9.33059	+	11.7002i	0.524058	+	0.657148i	0.971465	−	0.237183i	$-0.0762240\pi$
$317$	9.33059	+	11.7002i	0.524058	+	0.657148i	−0.447407	+	0.894330i	$0.647653\pi$
$318$	−12.5619	−	15.7521i	−0.704435	−	0.883333i
$319$	−0.488477	−	2.14016i	−0.0273495	−	0.119826i
$320$	0.900969	+	0.433884i	0.0503657	+	0.0242548i
$321$	−26.9281	+	12.9679i	−1.50298	+	0.723798i
$322$	1.04379	+	4.57313i	0.0581680	+	0.254851i
$323$	0.0981585	+	0.430060i	0.00546168	+	0.0239292i
$324$	7.11005	−	3.42402i	0.395003	−	0.190223i
$325$	3.97873	+	1.91605i	0.220700	+	0.106284i
$326$	−4.25683	−	18.6504i	−0.235764	−	1.03295i
$327$	11.9311	+	14.9612i	0.659793	+	0.827354i
$328$	2.83106	+	3.55003i	0.156319	+	0.196018i
$329$	−9.40563	−	4.52951i	−0.518549	−	0.249720i
$330$	−1.46980	+	6.43961i	−0.0809097	+	0.354489i
$331$	10.6710	−	13.3810i	0.586532	−	0.735487i	−0.396680	−	0.917957i	$-0.629838\pi$
$331$	10.6710	−	13.3810i	0.586532	−	0.735487i	0.983212	+	0.182470i	$0.0584091\pi$
$332$	0.532798	−	2.33434i	0.0292411	−	0.128113i
$333$	2.89387	−	1.39362i	0.158583	−	0.0763697i
$334$	9.33234	+	11.7024i	0.510643	+	0.640326i
$335$	4.12798	−	1.98793i	0.225535	−	0.108612i
$336$	1.60848	−	2.01697i	0.0877498	−	0.110035i
$337$	−14.4038			−0.784623			−0.392311	−	0.919832i	$-0.628324\pi$
$337$	−14.4038			−0.784623			−0.392311	+	0.919832i	$0.628324\pi$
$338$	6.50153			0.353637
$339$	7.47900	−	9.37836i	0.406203	−	0.509363i
$340$	−0.115331	−	0.0555405i	−0.00625470	−	0.00301211i
$341$	5.78231	+	25.3340i	0.313130	+	1.37191i
$342$	0.255047	−	1.11744i	0.0137914	−	0.0604240i
$343$	18.1730			0.981249
$344$	−1.45934	+	6.39299i	−0.0786824	+	0.344687i
$345$	4.85000			0.261115
$346$	−1.85721	+	8.13695i	−0.0998440	+	0.437445i
$347$	4.62057	+	20.2440i	0.248045	+	1.08676i	0.933482	+	0.358624i	$0.116754\pi$
$347$	4.62057	+	20.2440i	0.248045	+	1.08676i	−0.685437	+	0.728132i	$0.740389\pi$
$348$	0.798700	+	0.384634i	0.0428148	+	0.0206185i
$349$	0.595564	−	0.746814i	0.0318798	−	0.0399760i	−0.765636	−	0.643274i	$-0.777576\pi$
$349$	0.595564	−	0.746814i	0.0318798	−	0.0399760i	0.797516	+	0.603298i	$0.206147\pi$
$350$	−1.57959			−0.0844324
$351$	−24.0360			−1.28295
$352$	2.52158	−	3.16196i	0.134401	−	0.168533i
$353$	−0.404983	+	0.195029i	−0.0215550	+	0.0103804i	−0.444630	−	0.895714i	$-0.646665\pi$
$353$	−0.404983	+	0.195029i	−0.0215550	+	0.0103804i	0.423075	+	0.906095i	$0.360951\pi$
$354$	1.06084	+	1.33025i	0.0563831	+	0.0707022i
$355$	−0.741145	+	0.356917i	−0.0393359	+	0.0189432i
$356$	3.45666	−	15.1446i	0.183203	−	0.802663i
$357$	−0.205898	+	0.258188i	−0.0108973	+	0.0136648i
$358$	−1.49944	+	6.56948i	−0.0792479	+	0.347208i
$359$	26.9435	+	12.9753i	1.42202	+	0.684810i	0.977496	−	0.210955i	$-0.0676574\pi$
$359$	26.9435	+	12.9753i	1.42202	+	0.684810i	0.444527	+	0.895765i	$0.353372\pi$
$360$	0.207376	+	0.260041i	0.0109297	+	0.0137054i
$361$	−4.44224	−	5.57039i	−0.233802	−	0.293178i
$362$	0.871124	+	3.81664i	0.0457853	+	0.200598i
$363$	7.88174	+	3.79564i	0.413684	+	0.199220i
$364$	−6.28474	+	3.02657i	−0.329410	+	0.158635i
$365$	−2.42388	−	10.6197i	−0.126872	−	0.555861i
$366$	−0.608255	−	2.66494i	−0.0317940	−	0.139299i
$367$	9.28600	−	4.47190i	0.484725	−	0.233431i	−0.175528	−	0.984474i	$-0.556163\pi$
$367$	9.28600	−	4.47190i	0.484725	−	0.233431i	0.660253	+	0.751043i	$0.270449\pi$
$368$	−2.67552	−	1.28846i	−0.139471	−	0.0671658i
$369$	0.336062	+	1.47238i	0.0174947	+	0.0766492i
$370$	−6.02102	−	7.55012i	−0.313018	−	0.392512i
$371$	−12.1494	−	15.2348i	−0.630764	−	0.790953i
$372$	−9.45455	−	4.55307i	−0.490196	−	0.236066i
$373$	−4.32889	+	18.9661i	−0.224142	+	0.982028i	0.730182	+	0.683253i	$0.239435\pi$
$373$	−4.32889	+	18.9661i	−0.224142	+	0.982028i	−0.954323	+	0.298775i	$0.903422\pi$
$374$	−0.322782	+	0.404755i	−0.0166906	+	0.0209294i
$375$	−0.363425	+	1.59227i	−0.0187672	+	0.0822244i
$376$	5.95449	−	2.86753i	0.307080	−	0.147882i
$377$	−1.49449	−	1.87404i	−0.0769704	−	0.0965178i
$378$	7.74605	−	3.73030i	0.398414	−	0.191866i
$379$	15.6958	−	19.6819i	0.806238	−	1.01099i	−0.193316	−	0.981137i	$-0.561924\pi$
$379$	15.6958	−	19.6819i	0.806238	−	1.01099i	0.999554	−	0.0298541i	$-0.00950427\pi$
$380$	−3.44604			−0.176778
$381$	−1.17133			−0.0600091
$382$	−1.85136	+	2.32154i	−0.0947240	+	0.118780i
$383$	−13.6553	−	6.57604i	−0.697752	−	0.336020i	0.0511585	−	0.998691i	$-0.483709\pi$
$383$	−13.6553	−	6.57604i	−0.697752	−	0.336020i	−0.748911	+	0.662671i	$0.769423\pi$
$384$	0.363425	+	1.59227i	0.0185459	+	0.0812551i
$385$	−1.42153	+	6.22814i	−0.0724480	+	0.317416i
$386$	6.36235			0.323835
$387$	−1.35990	+	1.70517i	−0.0691277	+	0.0866786i
$388$	−11.5779			−0.587780
$389$	1.85672	−	8.13484i	0.0941396	−	0.412453i	−0.905797	−	0.423712i	$-0.860727\pi$
$389$	1.85672	−	8.13484i	0.0941396	−	0.412453i	0.999937	+	0.0112593i	$0.00358401\pi$
$390$	1.60490	+	7.03154i	0.0812674	+	0.356056i
$391$	0.342487	+	0.164933i	0.0173203	+	0.00834103i
$392$	−2.80877	+	3.52208i	−0.141864	+	0.177892i
$393$	−8.01000			−0.404051
$394$	13.8981			0.700179
$395$	4.63948	−	5.81772i	0.233438	−	0.292721i
$396$	1.21194	−	0.583641i	0.0609024	−	0.0293291i
$397$	16.2329	+	20.3554i	0.814706	+	1.02161i	0.999248	+	0.0387840i	$0.0123484\pi$
$397$	16.2329	+	20.3554i	0.814706	+	1.02161i	−0.184542	+	0.982825i	$0.559080\pi$
$398$	4.12813	−	1.98800i	0.206924	−	0.0996496i
$399$	−1.97824	+	8.66722i	−0.0990357	+	0.433904i
$400$	0.623490	−	0.781831i	0.0311745	−	0.0390916i
$401$	−3.38470	+	14.8293i	−0.169024	+	0.740541i	0.817366	+	0.576118i	$0.195433\pi$
$401$	−3.38470	+	14.8293i	−0.169024	+	0.740541i	−0.986390	+	0.164423i	$0.947424\pi$
$402$	6.74188	+	3.24672i	0.336254	+	0.161932i
$403$	17.6910	+	22.1838i	0.881249	+	1.10505i
$404$	−2.81818	−	3.53388i	−0.140210	−	0.175817i
$405$	−1.75604	−	7.69370i	−0.0872582	−	0.382303i
$406$	0.772473	+	0.372003i	0.0383372	+	0.0184622i
$407$	−35.1879	+	16.9456i	−1.74420	+	0.839962i
$408$	−0.0465212	−	0.203823i	−0.00230314	−	0.0100907i
$409$	−0.514515	−	2.25424i	−0.0254411	−	0.111465i	0.960613	−	0.277890i	$-0.0896349\pi$
$409$	−0.514515	−	2.25424i	−0.0254411	−	0.111465i	−0.986054	+	0.166425i	$0.946778\pi$
$410$	4.09099	−	1.97012i	0.202040	−	0.0972972i
$411$	31.5245	+	15.1814i	1.55499	+	0.748843i
$412$	−0.949437	−	4.15976i	−0.0467754	−	0.204936i
$413$	1.02601	+	1.28657i	0.0504865	+	0.0633081i
$414$	−0.615825	−	0.772220i	−0.0302661	−	0.0379525i
$415$	−2.15725	−	1.03888i	−0.105895	−	0.0509965i
$416$	0.982664	−	4.30533i	0.0481791	−	0.211086i
$417$	−10.4833	+	13.1456i	−0.513369	+	0.643744i
$418$	−3.10123	+	13.5874i	−0.151686	+	0.664581i
$419$	−9.03806	+	4.35250i	−0.441538	+	0.212634i	−0.641425	−	0.767185i	$-0.721657\pi$
$419$	−9.03806	+	4.35250i	−0.441538	+	0.212634i	0.199887	+	0.979819i	$0.435942\pi$
$420$	−1.60848	−	2.01697i	−0.0784858	−	0.0984181i
$421$	−26.2920	+	12.6615i	−1.28139	+	0.617086i	−0.945747	−	0.324903i	$-0.894668\pi$
$421$	−26.2920	+	12.6615i	−1.28139	+	0.617086i	−0.335644	+	0.941989i	$0.608954\pi$
$422$	15.5041	−	19.4415i	0.754727	−	0.946397i
$423$	2.19819			0.106879
$424$	12.3362			0.599099
$425$	−0.0798115	+	0.100080i	−0.00387143	+	0.00485462i
$426$	−1.21045	−	0.582922i	−0.0586465	−	0.0282427i
$427$	−0.588282	−	2.57743i	−0.0284689	−	0.124731i
$428$	4.07215	−	17.8412i	0.196835	−	0.862389i
$429$	29.1690			1.40829
$430$	5.90797	+	2.84533i	0.284908	+	0.137214i
$431$	−3.02473			−0.145696			−0.0728480	−	0.997343i	$-0.523209\pi$
$431$	−3.02473			−0.145696			−0.0728480	+	0.997343i	$0.523209\pi$
$432$	−1.21115	+	5.30640i	−0.0582715	+	0.255304i
$433$	3.82612	+	16.7633i	0.183872	+	0.805595i	0.979764	+	0.200157i	$0.0641451\pi$
$433$	3.82612	+	16.7633i	0.183872	+	0.805595i	−0.795892	+	0.605438i	$0.792998\pi$
$434$	−9.14409	−	4.40356i	−0.438930	−	0.211378i
$435$	0.552718	−	0.693086i	0.0265008	−	0.0332309i
$436$	−11.7168			−0.561132
$437$	10.2334			0.489529
$438$	11.0921	−	13.9090i	0.530000	−	0.664599i
$439$	−4.37028	+	2.10462i	−0.208582	+	0.100448i	−0.535258	−	0.844688i	$-0.679786\pi$
$439$	−4.37028	+	2.10462i	−0.208582	+	0.100448i	0.326676	+	0.945136i	$0.394071\pi$
$440$	−2.52158	−	3.16196i	−0.120212	−	0.150741i
$441$	−1.34997	+	0.650113i	−0.0642845	+	0.0309578i
$442$	−0.125789	+	0.551116i	−0.00598316	+	0.0262139i
$443$	−11.1411	+	13.9705i	−0.529331	+	0.663760i	−0.972561	−	0.232648i	$-0.925261\pi$
$443$	−11.1411	+	13.9705i	−0.529331	+	0.663760i	0.443230	+	0.896408i	$0.353832\pi$
$444$	3.50958	−	15.3765i	0.166557	−	0.729735i
$445$	−13.9957	−	6.73999i	−0.663461	−	0.319506i
$446$	5.19418	+	6.51329i	0.245951	+	0.308413i
$447$	3.38984	+	4.25073i	0.160334	+	0.201053i
$448$	0.351491	+	1.53998i	0.0166064	+	0.0727573i
$449$	4.51165	+	2.17270i	0.212918	+	0.102536i	0.537303	−	0.843389i	$-0.319443\pi$
$449$	4.51165	+	2.17270i	0.212918	+	0.102536i	−0.324385	+	0.945925i	$0.605157\pi$
$450$	0.299667	−	0.144312i	0.0141264	−	0.00680294i
$451$	−4.08633	−	17.9034i	−0.192418	−	0.843037i
$452$	1.63434	+	7.16049i	0.0768727	+	0.336801i
$453$	25.9669	−	12.5050i	1.22003	−	0.587535i
$454$	−18.9089	−	9.10604i	−0.887438	−	0.427368i
$455$	1.55220	+	6.80064i	0.0727684	+	0.318819i
$456$	−3.50908	−	4.40025i	−0.164328	−	0.206061i
$457$	13.2435	+	16.6068i	0.619504	+	0.776833i	0.988275	−	0.152687i	$-0.0487927\pi$
$457$	13.2435	+	16.6068i	0.619504	+	0.776833i	−0.368771	+	0.929520i	$0.620221\pi$
$458$	7.32350	+	3.52681i	0.342204	+	0.164797i
$459$	0.155037	−	0.679260i	0.00723650	−	0.0317052i
$460$	−1.85152	+	2.32173i	−0.0863275	+	0.108251i
$461$	−0.217785	+	0.954181i	−0.0101433	+	0.0444406i	−0.979746	−	0.200243i	$-0.935827\pi$
$461$	−0.217785	+	0.954181i	−0.0101433	+	0.0444406i	0.969603	+	0.244683i	$0.0786840\pi$
$462$	−9.40025	+	4.52692i	−0.437339	+	0.210612i
$463$	−2.84863	−	3.57207i	−0.132387	−	0.166008i	0.711219	−	0.702970i	$-0.248143\pi$
$463$	−2.84863	−	3.57207i	−0.132387	−	0.166008i	−0.843606	+	0.536962i	$0.819572\pi$
$464$	−0.489035	+	0.235507i	−0.0227029	+	0.0109331i
$465$	−6.54275	+	8.20435i	−0.303413	+	0.380468i
$466$	−4.57990			−0.212160
$467$	−23.2778			−1.07717			−0.538585	−	0.842571i	$-0.681041\pi$
$467$	−23.2778			−1.07717			−0.538585	+	0.842571i	$0.681041\pi$
$468$	0.915784	−	1.14836i	0.0423321	−	0.0530828i
$469$	6.52049	+	3.14010i	0.301088	+	0.144996i
$470$	−1.47064	−	6.44329i	−0.0678355	−	0.297207i
$471$	4.00720	−	17.5567i	0.184642	−	0.808969i
$472$	−1.04178			−0.0479520
$473$	16.5357	−	20.7339i	0.760310	−	0.953346i
$474$	12.1530			0.558206
$475$	−0.766816	+	3.35964i	−0.0351840	+	0.154151i
$476$	−0.0449935	−	0.197130i	−0.00206228	−	0.00903542i
$477$	3.69675	+	1.78026i	0.169263	+	0.0815126i
$478$	15.4974	−	19.4331i	0.708835	−	0.888850i
$479$	−5.82482			−0.266143			−0.133072	−	0.991106i	$-0.542484\pi$
$479$	−5.82482			−0.266143			−0.133072	+	0.991106i	$0.542484\pi$
$480$	1.63322			0.0745458
$481$	−26.5891	+	33.3417i	−1.21236	+	1.52025i
$482$	−9.66644	+	4.65511i	−0.440294	+	0.212034i
$483$	4.77655	+	5.98961i	0.217341	+	0.272537i
$484$	−4.82590	+	2.32403i	−0.219359	+	0.105638i
$485$	−2.57633	+	11.2876i	−0.116985	+	0.512545i
$486$	−2.14479	+	2.68948i	−0.0972896	+	0.121997i
$487$	0.526719	−	2.30771i	0.0238679	−	0.104572i	−0.961591	−	0.274487i	$-0.911492\pi$
$487$	0.526719	−	2.30771i	0.0238679	−	0.104572i	0.985459	+	0.169915i	$0.0543492\pi$
$488$	1.50793	+	0.726181i	0.0682608	+	0.0328727i
$489$	−19.4800	−	24.4271i	−0.880915	−	1.10463i
$490$	2.80877	+	3.52208i	0.126887	+	0.159111i
$491$	−4.04237	−	17.7108i	−0.182429	−	0.799276i	−0.980469	−	0.196671i	$-0.936987\pi$
$491$	−4.04237	−	17.7108i	−0.182429	−	0.799276i	0.798040	−	0.602604i	$-0.205870\pi$
$492$	6.68148	+	3.21763i	0.301224	+	0.145062i
$493$	0.0626003	−	0.0301467i	0.00281938	−	0.00135774i
$494$	3.38630	+	14.8364i	0.152357	+	0.667520i
$495$	−0.299325	−	1.31143i	−0.0134537	−	0.0589444i
$496$	5.78892	−	2.78780i	0.259930	−	0.125176i
$497$	−1.17070	−	0.563780i	−0.0525131	−	0.0252890i
$498$	−0.870173	−	3.81248i	−0.0389934	−	0.170841i
$499$	5.46055	+	6.84731i	0.244448	+	0.306528i	0.888886	−	0.458129i	$-0.151480\pi$
$499$	5.46055	+	6.84731i	0.244448	+	0.306528i	−0.644438	+	0.764656i	$0.722909\pi$
$500$	−0.623490	−	0.781831i	−0.0278833	−	0.0349646i
$501$	22.0249	+	10.6066i	0.984001	+	0.473870i
$502$	3.22135	−	14.1136i	0.143776	−	0.629923i
$503$	6.95611	−	8.72269i	0.310158	−	0.388925i	−0.602183	−	0.798358i	$-0.705702\pi$
$503$	6.95611	−	8.72269i	0.310158	−	0.388925i	0.912340	+	0.409433i	$0.134273\pi$
$504$	−0.116908	+	0.512206i	−0.00520748	+	0.0228155i
$505$	−4.07238	+	1.96116i	−0.181219	+	0.0872703i
$506$	7.48809	+	9.38977i	0.332886	+	0.417426i
$507$	9.56685	−	4.60715i	0.424879	−	0.204611i
$508$	0.447163	−	0.560724i	0.0198396	−	0.0248781i
$509$	20.4822			0.907859			0.453930	−	0.891038i	$-0.350022\pi$
$509$	20.4822			0.907859			0.453930	+	0.891038i	$0.350022\pi$
$510$	−0.209064			−0.00925752
$511$	10.7278	−	13.4523i	0.474572	−	0.595094i
$512$	−0.900969	−	0.433884i	−0.0398176	−	0.0191751i
$513$	−4.17368	−	18.2861i	−0.184272	−	0.807350i
$514$	6.88315	−	30.1570i	0.303603	−	1.33017i
$515$	−4.26673			−0.188015
$516$	2.38285	+	10.4413i	0.104899	+	0.459651i
$517$	−26.7287			−1.17553
$518$	3.39433	−	14.8715i	0.149138	−	0.653418i
$519$	3.03322	+	13.2894i	0.133143	+	0.583340i
$520$	−3.97873	−	1.91605i	−0.174479	−	0.0840245i
$521$	−3.66192	+	4.59190i	−0.160431	+	0.201175i	−0.855550	−	0.517721i	$-0.826781\pi$
$521$	−3.66192	+	4.59190i	−0.160431	+	0.201175i	0.695118	+	0.718896i	$0.255352\pi$
$522$	−0.180534			−0.00790177
$523$	41.3716			1.80905			0.904527	−	0.426416i	$-0.140224\pi$
$523$	41.3716			1.80905			0.904527	+	0.426416i	$0.140224\pi$
$524$	3.05786	−	3.83444i	0.133583	−	0.167508i
$525$	−2.32432	+	1.11933i	−0.101442	+	0.0488518i
$526$	−5.76521	−	7.22934i	−0.251375	−	0.315214i
$527$	−0.741026	+	0.356860i	−0.0322796	+	0.0155450i
$528$	1.46980	−	6.43961i	0.0639647	−	0.280248i
$529$	−8.84199	+	11.0875i	−0.384434	+	0.482066i
$530$	2.74506	−	12.0269i	0.119238	−	0.522415i
$531$	−0.312189	−	0.150342i	−0.0135478	−	0.00652429i
$532$	−3.39385	−	4.25576i	−0.147142	−	0.184510i
$533$	−12.5021	−	15.6771i	−0.541526	−	0.679052i
$534$	−5.64547	−	24.7344i	−0.244304	−	1.07036i
$535$	−16.4878	−	7.94010i	−0.712829	−	0.343281i
$536$	−4.12798	+	1.98793i	−0.178301	+	0.0858654i
$537$	2.44891	+	10.7294i	0.105678	+	0.463007i
$538$	5.70011	+	24.9738i	0.245749	+	1.07670i
$539$	16.4149	−	7.90502i	0.707041	−	0.340493i
$540$	4.90385	+	2.36157i	0.211028	+	0.101626i
$541$	−4.79230	−	20.9964i	−0.206037	−	0.902708i	−0.967174	−	0.254116i	$-0.918215\pi$
$541$	−4.79230	−	20.9964i	−0.206037	−	0.902708i	0.761137	−	0.648592i	$-0.224642\pi$
$542$	−2.03372	−	2.55020i	−0.0873557	−	0.109541i
$543$	3.98641	+	4.99880i	0.171073	+	0.214519i
$544$	0.115331	+	0.0555405i	0.00494478	+	0.00238128i
$545$	−2.60723	+	11.4230i	−0.111681	+	0.489309i
$546$	−7.10314	+	8.90706i	−0.303986	+	0.381187i
$547$	2.05044	−	8.98356i	0.0876704	−	0.384109i	−0.911989	−	0.410215i	$-0.865454\pi$
$547$	2.05044	−	8.98356i	0.0876704	−	0.384109i	0.999659	+	0.0261060i	$0.00831074\pi$
$548$	−19.3021	+	9.29540i	−0.824545	+	0.397080i
$549$	0.347080	+	0.435225i	0.0148130	+	0.0185750i
$550$	−3.64379	+	1.75476i	−0.155372	+	0.0748230i
$551$	1.16622	−	1.46239i	0.0496826	−	0.0623000i
$552$	−4.85000			−0.206430
$553$	11.7539			0.499828
$554$	15.8004	−	19.8130i	0.671293	−	0.841775i
$555$	−14.2100	−	6.84317i	−0.603181	−	0.290477i
$556$	−2.29084	−	10.0368i	−0.0971534	−	0.425657i
$557$	−6.09802	+	26.7172i	−0.258382	+	1.13204i	0.664600	+	0.747199i	$0.268602\pi$
$557$	−6.09802	+	26.7172i	−0.258382	+	1.13204i	−0.922982	+	0.384844i	$0.874255\pi$
$558$	2.13706			0.0904690
$559$	6.44453	−	28.2318i	0.272575	−	1.19408i
$560$	1.57959			0.0667497
$561$	−0.188146	+	0.824319i	−0.00794351	+	0.0348028i
$562$	6.83528	+	29.9473i	0.288329	+	1.26325i
$563$	−7.76824	−	3.74099i	−0.327392	−	0.157664i	0.262966	−	0.964805i	$-0.415299\pi$
$563$	−7.76824	−	3.74099i	−0.327392	−	0.157664i	−0.590358	+	0.807141i	$0.701014\pi$
$564$	6.72989	−	8.43902i	0.283380	−	0.355347i
$565$	7.34464			0.308991
$566$	−15.2296			−0.640147
$567$	7.77204	−	9.74583i	0.326395	−	0.409286i
$568$	0.741145	−	0.356917i	0.0310978	−	0.0149759i
$569$	28.4541	+	35.6803i	1.19286	+	1.49580i	0.824263	+	0.566207i	$0.191590\pi$
$569$	28.4541	+	35.6803i	1.19286	+	1.49580i	0.368595	+	0.929590i	$0.379839\pi$
$570$	−5.07077	+	2.44195i	−0.212391	+	0.102282i
$571$	10.4351	−	45.7192i	0.436695	−	1.91329i	0.0304187	−	0.999537i	$-0.490316\pi$
$571$	10.4351	−	45.7192i	0.436695	−	1.91329i	0.406277	−	0.913750i	$-0.366827\pi$
$572$	−11.1354	+	13.9634i	−0.465596	+	0.583838i
$573$	−1.07914	+	4.72801i	−0.0450816	+	0.197515i
$574$	6.46207	+	3.11197i	0.269722	+	0.129891i
$575$	1.85152	+	2.32173i	0.0772136	+	0.0968228i
$576$	−0.207376	−	0.260041i	−0.00864067	−	0.0108351i
$577$	−6.17146	−	27.0389i	−0.256921	−	1.12565i	−0.924523	−	0.381127i	$-0.875536\pi$
$577$	−6.17146	−	27.0389i	−0.256921	−	1.12565i	0.667601	−	0.744519i	$-0.267321\pi$
$578$	15.3017	+	7.36891i	0.636467	+	0.306506i
$579$	9.36205	−	4.50853i	0.389074	−	0.187368i
$580$	0.120782	+	0.529179i	0.00501519	+	0.0219730i
$581$	−0.841599	−	3.68729i	−0.0349154	−	0.152974i
$582$	−17.0366	+	8.20441i	−0.706191	+	0.340084i
$583$	−44.9505	−	21.6470i	−1.86166	−	0.896528i
$584$	2.42388	+	10.6197i	0.100301	+	0.439447i
$585$	−0.915784	−	1.14836i	−0.0378630	−	0.0474787i
$586$	4.30027	+	5.39237i	0.177643	+	0.222757i
$587$	−39.2456	−	18.8997i	−1.61984	−	0.780073i	−0.619849	−	0.784721i	$-0.712806\pi$
$587$	−39.2456	−	18.8997i	−1.61984	−	0.780073i	−0.999989	+	0.00464833i	$0.998520\pi$
$588$	−1.63720	+	7.17303i	−0.0675168	+	0.295811i
$589$	−13.8050	+	17.3110i	−0.568827	+	0.713286i
$590$	−0.231819	+	1.01566i	−0.00954383	+	0.0418143i
$591$	20.4508	−	9.84859i	0.841234	−	0.405117i
$592$	6.02102	+	7.55012i	0.247462	+	0.310308i
$593$	−38.9548	+	18.7597i	−1.59968	+	0.770367i	−0.999563	−	0.0295435i	$-0.990595\pi$
$593$	−38.9548	+	18.7597i	−1.59968	+	0.770367i	−0.600120	+	0.799910i	$0.704880\pi$
$594$	13.7246	−	17.2101i	0.563128	−	0.706140i
$595$	−0.202199			−0.00828936
$596$	−3.32894			−0.136359
$597$	4.66570	−	5.85060i	0.190954	−	0.239449i
$598$	11.8152	+	5.68992i	0.483161	+	0.232678i
$599$	1.18029	+	5.17118i	0.0482252	+	0.211289i	0.993300	−	0.115566i	$-0.0368683\pi$
$599$	1.18029	+	5.17118i	0.0482252	+	0.211289i	−0.945075	+	0.326855i	$0.894011\pi$
$600$	0.363425	−	1.59227i	0.0148368	−	0.0650041i
$601$	25.1969			1.02780			0.513901	−	0.857849i	$-0.328200\pi$
$601$	25.1969			1.02780			0.513901	+	0.857849i	$0.328200\pi$
$602$	2.30460	+	10.0984i	0.0939286	+	0.411580i
$603$	−1.52390			−0.0620580
$604$	−3.92678	+	17.2044i	−0.159779	+	0.700036i
$605$	1.19190	+	5.22205i	0.0484576	+	0.212307i
$606$	−6.65108	−	3.20299i	−0.270182	−	0.130113i
$607$	−30.4733	+	38.2124i	−1.23687	+	1.55099i	−0.519107	+	0.854709i	$0.673735\pi$
$607$	−30.4733	+	38.2124i	−1.23687	+	1.55099i	−0.717768	+	0.696283i	$0.754836\pi$
$608$	3.44604			0.139755
$609$	1.40029			0.0567425
$610$	1.04352	−	1.30853i	0.0422509	−	0.0529809i
$611$	−26.2954	+	12.6632i	−1.06380	+	0.512297i
$612$	0.0265457	+	0.0332873i	0.00107305	+	0.00134556i
$613$	−30.0677	+	14.4798i	−1.21442	+	0.584836i	−0.927753	−	0.373194i	$-0.878263\pi$
$613$	−30.0677	+	14.4798i	−1.21442	+	0.584836i	−0.286670	+	0.958029i	$0.592548\pi$
$614$	−5.19209	+	22.7480i	−0.209536	+	0.918036i
$615$	4.62373	−	5.79797i	0.186447	−	0.233797i
$616$	1.42153	−	6.22814i	0.0572752	−	0.250939i
$617$	−31.3472	−	15.0960i	−1.26199	−	0.607742i	−0.321289	−	0.946981i	$-0.604116\pi$
$617$	−31.3472	−	15.0960i	−1.26199	−	0.607742i	−0.940700	+	0.339239i	$0.889830\pi$
$618$	−4.34479	−	5.44819i	−0.174773	−	0.219158i
$619$	28.6520	+	35.9285i	1.15162	+	1.44409i	0.875666	+	0.482918i	$0.160423\pi$
$619$	28.6520	+	35.9285i	1.15162	+	1.44409i	0.275956	+	0.961170i	$0.411005\pi$
$620$	−1.42974	−	6.26412i	−0.0574199	−	0.251573i
$621$	−14.5625	−	7.01293i	−0.584373	−	0.281419i
$622$	−17.5502	+	8.45172i	−0.703698	+	0.338883i
$623$	−5.46009	−	23.9222i	−0.218754	−	0.958423i
$624$	−1.60490	−	7.03154i	−0.0642476	−	0.281487i
$625$	−0.900969	+	0.433884i	−0.0360388	+	0.0173553i
$626$	−4.76303	−	2.29376i	−0.190369	−	0.0916769i
$627$	5.06499	+	22.1912i	0.202276	+	0.886229i
$628$	6.87473	+	8.62063i	0.274331	+	0.344001i
$629$	−0.770737	−	0.966474i	−0.0307313	−	0.0385358i
$630$	0.473350	+	0.227953i	0.0188587	+	0.00908187i
$631$	7.23492	−	31.6982i	0.288018	−	1.26189i	−0.599224	−	0.800582i	$-0.704524\pi$
$631$	7.23492	−	31.6982i	0.288018	−	1.26189i	0.887241	−	0.461306i	$-0.152619\pi$
$632$	−4.63948	+	5.81772i	−0.184549	+	0.231417i
$633$	9.03714	−	39.5943i	0.359194	−	1.57373i
$634$	−13.4831	+	6.49311i	−0.535482	+	0.257874i
$635$	−0.447163	−	0.560724i	−0.0177451	−	0.0222517i
$636$	18.1524	−	8.74175i	0.719791	−	0.346633i
$637$	12.4037	−	15.5537i	0.491451	−	0.616260i
$638$	2.19520			0.0869087
$639$	0.273604			0.0108236
$640$	−0.623490	+	0.781831i	−0.0246456	+	0.0309046i
$641$	−38.7829	−	18.6769i	−1.53183	−	0.737692i	−0.537426	−	0.843311i	$-0.680603\pi$
$641$	−38.7829	−	18.6769i	−1.53183	−	0.737692i	−0.994407	+	0.105619i	$0.966318\pi$
$642$	−6.65070	−	29.1386i	−0.262482	−	1.15001i
$643$	6.33104	−	27.7381i	0.249672	−	1.09388i	−0.682220	−	0.731147i	$-0.738985\pi$
$643$	6.33104	−	27.7381i	0.249672	−	1.09388i	0.931892	−	0.362736i	$-0.118157\pi$
$644$	−4.69074			−0.184841
$645$	10.7097		0.000291573i	0.421695		1.14807e-5i
$646$	−0.441120			−0.0173556
$647$	−7.38321	+	32.3479i	−0.290264	+	1.27173i	0.593895	+	0.804542i	$0.297589\pi$
$647$	−7.38321	+	32.3479i	−0.290264	+	1.27173i	−0.884159	+	0.467186i	$0.845268\pi$
$648$	1.75604	+	7.69370i	0.0689836	+	0.302237i
$649$	3.79604	+	1.82808i	0.149008	+	0.0717583i
$650$	−2.75336	+	3.45261i	−0.107996	+	0.135423i
$651$	−16.5758			−0.649657
$652$	19.1300			0.749189
$653$	10.6796	−	13.3918i	0.417924	−	0.524060i	−0.527652	−	0.849460i	$-0.676928\pi$
$653$	10.6796	−	13.3918i	0.417924	−	0.524060i	0.945576	+	0.325400i	$0.105499\pi$
$654$	−17.2410	+	8.30282i	−0.674176	+	0.324666i
$655$	−3.05786	−	3.83444i	−0.119481	−	0.149824i
$656$	−4.09099	+	1.97012i	−0.159726	+	0.0769202i
$657$	−0.806196	+	3.53217i	−0.0314527	+	0.137803i
$658$	6.50890	−	8.16190i	0.253743	−	0.318184i
$659$	−5.57288	+	24.4164i	−0.217089	+	0.951128i	0.742528	+	0.669816i	$0.233627\pi$
$659$	−5.57288	+	24.4164i	−0.217089	+	0.951128i	−0.959616	+	0.281312i	$0.909230\pi$
$660$	−5.95109	−	2.86589i	−0.231646	−	0.111555i
$661$	20.8730	+	26.1740i	0.811867	+	1.01805i	0.999360	+	0.0357828i	$0.0113924\pi$
$661$	20.8730	+	26.1740i	0.811867	+	1.01805i	−0.187493	+	0.982266i	$0.560036\pi$
$662$	10.6710	+	13.3810i	0.414741	+	0.520068i
$663$	0.205440	+	0.900092i	0.00797863	+	0.0349567i
$664$	2.15725	+	1.03888i	0.0837177	+	0.0403163i
$665$	−4.90426	+	2.36177i	−0.190179	+	0.0915854i
$666$	0.714728	+	3.13143i	0.0276951	+	0.121340i
$667$	−0.358674	−	1.57145i	−0.0138879	−	0.0608469i
$668$	−13.4856	+	6.49433i	−0.521774	+	0.251273i
$669$	12.2586	+	5.90343i	0.473945	+	0.228240i
$670$	1.01953	+	4.46684i	0.0393877	+	0.172569i
$671$	−4.22030	−	5.29209i	−0.162923	−	0.204299i
$672$	1.60848	+	2.01697i	0.0620485	+	0.0778064i
$673$	−4.59228	−	2.21152i	−0.177019	−	0.0852480i	0.343275	−	0.939235i	$-0.388464\pi$
$673$	−4.59228	−	2.21152i	−0.177019	−	0.0852480i	−0.520295	+	0.853987i	$0.674178\pi$
$674$	3.20514	−	14.0426i	0.123457	−	0.540902i
$675$	3.39357	−	4.25540i	0.130619	−	0.163791i
$676$	−1.44673	+	6.33853i	−0.0556434	+	0.243789i
$677$	3.35653	−	1.61642i	0.129002	−	0.0621241i	−0.368269	−	0.929719i	$-0.620050\pi$
$677$	3.35653	−	1.61642i	0.129002	−	0.0621241i	0.497271	+	0.867595i	$0.334335\pi$
$678$	7.47900	+	9.37836i	0.287229	+	0.360174i
$679$	−16.4772	+	7.93500i	−0.632337	+	0.304517i
$680$	0.0798115	−	0.100080i	0.00306063	−	0.00383791i
$681$	−34.2768			−1.31349
$682$	−25.9855			−0.995036
$683$	20.9836	−	26.3126i	0.802914	−	1.00682i	−0.196738	−	0.980456i	$-0.563035\pi$
$683$	20.9836	−	26.3126i	0.802914	−	1.00682i	0.999652	−	0.0263666i	$-0.00839372\pi$
$684$	1.03267	+	0.497306i	0.0394850	+	0.0190150i
$685$	4.76722	+	20.8866i	0.182146	+	0.798035i
$686$	−4.04387	+	17.7174i	−0.154396	+	0.676452i
$687$	13.2755			0.506494
$688$	−5.90797	−	2.84533i	−0.225239	−	0.108477i
$689$	−54.4773			−2.07542
$690$	−1.07923	+	4.72840i	−0.0410855	+	0.180007i
$691$	1.21417	+	5.31964i	0.0461893	+	0.202369i	0.992758	−	0.120135i	$-0.0383327\pi$
$691$	1.21417	+	5.31964i	0.0461893	+	0.202369i	−0.946568	+	0.322504i	$0.895476\pi$
$692$	−7.51967	−	3.62128i	−0.285855	−	0.137661i
$693$	1.32478	−	1.66123i	0.0503244	−	0.0631047i
$694$	−20.7646			−0.788215
$695$	−10.2950			−0.390510
$696$	−0.552718	+	0.693086i	−0.0209507	+	0.0262714i
$697$	0.523679	−	0.252190i	0.0198358	−	0.00955240i
$698$	0.595564	+	0.746814i	0.0225424	+	0.0282673i
$699$	−6.73922	+	3.24544i	−0.254901	+	0.122754i
$700$	0.351491	−	1.53998i	0.0132851	−	0.0582058i
$701$	−28.5428	+	35.7915i	−1.07805	+	1.35183i	−0.146084	+	0.989272i	$0.546667\pi$
$701$	−28.5428	+	35.7915i	−1.07805	+	1.35183i	−0.931962	+	0.362556i	$0.881904\pi$
$702$	5.34851	−	23.4334i	0.201866	−	0.884435i
$703$	−29.9827	−	14.4389i	−1.13082	−	0.544574i
$704$	2.52158	+	3.16196i	0.0950356	+	0.119171i
$705$	−6.72989	−	8.43902i	−0.253462	−	0.317832i
$706$	−0.100022	−	0.438227i	−0.00376439	−	0.0164929i
$707$	−6.43268	−	3.09781i	−0.241926	−	0.116505i
$708$	−1.53296	+	0.738236i	−0.0576122	+	0.0277446i
$709$	8.63216	+	37.8200i	0.324188	+	1.42036i	0.830023	+	0.557729i	$0.188327\pi$
$709$	8.63216	+	37.8200i	0.324188	+	1.42036i	−0.505835	+	0.862630i	$0.668816\pi$
$710$	−0.183048	−	0.801984i	−0.00686966	−	0.0300979i
$711$	−2.22987	+	1.07385i	−0.0836266	+	0.0402724i
$712$	13.9957	+	6.73999i	0.524512	+	0.252592i
$713$	4.24578	+	18.6020i	0.159006	+	0.696649i
$714$	−0.205898	−	0.258188i	−0.00770554	−	0.00966244i
$715$	11.1354	+	13.9634i	0.416441	+	0.522201i
$716$	−6.07111	−	2.92369i	−0.226888	−	0.109263i
$717$	9.03325	−	39.5773i	0.337353	−	1.47804i
$718$	−18.6455	+	23.3807i	−0.695843	+	0.872559i
$719$	7.33560	−	32.1394i	0.273572	−	1.19860i	−0.632191	−	0.774812i	$-0.717844\pi$
$719$	7.33560	−	32.1394i	0.273572	−	1.19860i	0.905763	−	0.423784i	$-0.139299\pi$
$720$	−0.299667	+	0.144312i	−0.0111679	+	0.00537819i
$721$	−4.20211	−	5.26928i	−0.156495	−	0.196238i
$722$	6.41922	−	3.09133i	0.238899	−	0.115047i
$723$	−10.9252	+	13.6998i	−0.406313	+	0.509500i
$724$	−3.91480			−0.145492
$725$	0.542788			0.0201587
$726$	−5.45433	+	6.83952i	−0.202429	+	0.253838i
$727$	18.3148	+	8.81995i	0.679259	+	0.327114i	0.741505	−	0.670947i	$-0.234112\pi$
$727$	18.3148	+	8.81995i	0.679259	+	0.327114i	−0.0622464	+	0.998061i	$0.519826\pi$
$728$	−1.55220	−	6.80064i	−0.0575284	−	0.252049i
$729$	−6.51828	+	28.5585i	−0.241418	+	1.05772i
$730$	10.8928			0.403161
$731$	0.756266	+	0.364224i	0.0279715	+	0.0134713i
$732$	2.73347			0.101032
$733$	−8.05717	+	35.3008i	−0.297598	+	1.30386i	0.576093	+	0.817384i	$0.304576\pi$
$733$	−8.05717	+	35.3008i	−0.297598	+	1.30386i	−0.873692	+	0.486480i	$0.838281\pi$
$734$	2.29345	+	10.0483i	0.0846528	+	0.370888i
$735$	6.62887	+	3.19230i	0.244510	+	0.117750i
$736$	1.85152	−	2.32173i	0.0682478	−	0.0855801i
$737$	18.5298			0.682554
$738$	−1.51025			−0.0555930
$739$	0.909160	−	1.14005i	0.0334440	−	0.0419374i	−0.764828	−	0.644234i	$-0.777176\pi$
$739$	0.909160	−	1.14005i	0.0334440	−	0.0419374i	0.798272	+	0.602297i	$0.205748\pi$
$740$	8.70062	−	4.19000i	0.319841	−	0.154027i
$741$	15.4963	+	19.4317i	0.569271	+	0.713843i
$742$	17.5564	−	8.45469i	0.644514	−	0.310382i
$743$	1.45482	−	6.37397i	0.0533720	−	0.233838i	−0.941206	−	0.337834i	$-0.890306\pi$
$743$	1.45482	−	6.37397i	0.0533720	−	0.233838i	0.994578	+	0.103996i	$0.0331629\pi$
$744$	6.54275	−	8.20435i	0.239869	−	0.300786i
$745$	−0.740760	+	3.24548i	−0.0271393	+	0.118905i
$746$	−17.5273	−	8.44072i	−0.641721	−	0.309037i
$747$	0.496535	+	0.622635i	0.0181673	+	0.0227810i
$748$	−0.322782	−	0.404755i	−0.0118021	−	0.0147993i
$749$	−6.43230	−	28.1818i	−0.235031	−	1.02974i
$750$	−1.47148	−	0.708626i	−0.0537307	−	0.0258754i
$751$	44.4991	−	21.4296i	1.62379	−	0.781978i	0.623795	−	0.781588i	$-0.285590\pi$
$751$	44.4991	−	21.4296i	1.62379	−	0.781978i	1.00000		0.000390150i	$-0.000124189\pi$
$752$	1.47064	+	6.44329i	0.0536287	+	0.234963i
$753$	−5.26116	−	23.0506i	−0.191727	−	0.840012i
$754$	2.15961	−	1.04001i	0.0786482	−	0.0378750i
$755$	15.8992	+	7.65666i	0.578632	+	0.278654i
$756$	1.91312	+	8.38191i	0.0695794	+	0.304847i
$757$	−3.97408	−	4.98333i	−0.144440	−	0.181122i	0.704349	−	0.709854i	$-0.251239\pi$
$757$	−3.97408	−	4.98333i	−0.144440	−	0.181122i	−0.848789	+	0.528732i	$0.822668\pi$
$758$	15.6958	+	19.6819i	0.570096	+	0.714878i
$759$	17.6724	+	8.51057i	0.641467	+	0.308914i
$760$	0.766816	−	3.35964i	0.0278154	−	0.121867i
$761$	19.5575	−	24.5244i	0.708960	−	0.889007i	−0.288697	−	0.957420i	$-0.593222\pi$
$761$	19.5575	−	24.5244i	0.708960	−	0.889007i	0.997657	+	0.0684130i	$0.0217935\pi$
$762$	0.260646	−	1.14196i	0.00944220	−	0.0413690i
$763$	−16.6748	+	8.03017i	−0.603669	+	0.290712i
$764$	−1.85136	−	2.32154i	−0.0669800	−	0.0839902i
$765$	0.0383597	−	0.0184731i	0.00138690	−	0.000667895i
$766$	9.44975	−	11.8496i	0.341433	−	0.428144i
$767$	4.60058			0.166117
$768$	−1.63322			−0.0589336
$769$	−11.1297	+	13.9562i	−0.401346	+	0.503272i	−0.940903	−	0.338677i	$-0.890021\pi$
$769$	−11.1297	+	13.9562i	−0.401346	+	0.503272i	0.539556	+	0.841949i	$0.318592\pi$
$770$	−5.75567	−	2.77178i	−0.207420	−	0.0998882i
$771$	−11.2417	−	49.2529i	−0.404859	−	1.77380i
$772$	−1.41576	+	6.20283i	−0.0509542	+	0.223245i
$773$	−27.3325			−0.983081			−0.491540	−	0.870855i	$-0.663566\pi$
$773$	−27.3325			−0.983081			−0.491540	+	0.870855i	$0.663566\pi$
$774$	−1.35981	−	1.70524i	−0.0488773	−	0.0612937i
$775$	−6.42521			−0.230801
$776$	2.57633	−	11.2876i	0.0924848	−	0.405202i
$777$	−5.54368	−	24.2884i	−0.198878	−	0.871343i
$778$	7.51772	+	3.62034i	0.269523	+	0.129796i
$779$	9.75594	−	12.2336i	0.349543	−	0.438313i
$780$	−7.21237			−0.258244
$781$	−3.32688			−0.119045
$782$	−0.237009	+	0.297199i	−0.00847541	+	0.0106278i
$783$	−2.66175	+	1.28183i	−0.0951233	+	0.0458090i
$784$	−2.80877	−	3.52208i	−0.100313	−	0.125789i
$785$	9.93427	−	4.78409i	0.354569	−	0.170752i
$786$	1.78239	−	7.80917i	0.0635758	−	0.278544i
$787$	10.5813	−	13.2685i	0.377181	−	0.472970i	−0.556618	−	0.830769i	$-0.687901\pi$
$787$	10.5813	−	13.2685i	0.377181	−	0.472970i	0.933799	+	0.357799i	$0.116473\pi$
$788$	−3.09263	+	13.5497i	−0.110170	+	0.482688i
$789$	−13.6063	−	6.55243i	−0.484396	−	0.233273i
$790$	4.63948	+	5.81772i	0.165065	+	0.206985i
$791$	7.23340	+	9.07040i	0.257190	+	0.322506i
$792$	0.299325	+	1.31143i	0.0106361	+	0.0465996i
$793$	−6.65910	−	3.20685i	−0.236472	−	0.113879i
$794$	−23.4572	+	11.2964i	−0.832465	+	0.400894i
$795$	−4.48328	−	19.6425i	−0.159006	−	0.696649i
$796$	1.01956	+	4.46700i	0.0361375	+	0.158329i
$797$	28.0769	−	13.5211i	0.994536	−	0.478943i	0.135455	−	0.990783i	$-0.456750\pi$
$797$	28.0769	−	13.5211i	0.994536	−	0.478943i	0.859081	+	0.511840i	$0.171036\pi$
$798$	−8.00971	−	3.85727i	−0.283541	−	0.136546i
$799$	−0.188253	−	0.824791i	−0.00665992	−	0.0291790i
$800$	0.623490	+	0.781831i	0.0220437	+	0.0276419i
$801$	3.22140	+	4.03951i	0.113823	+	0.142729i
$802$	−13.7044	−	6.59967i	−0.483918	−	0.233043i
$803$	9.80289	−	42.9493i	0.345937	−	1.51565i
$804$	−4.66552	+	5.85038i	−0.164540	+	0.206327i
$805$	−1.04379	+	4.57313i	−0.0367887	+	0.161182i
$806$	−25.5642	+	12.3111i	−0.900460	+	0.433639i
$807$	26.0847	+	32.7091i	0.918224	+	1.15142i
$808$	4.07238	−	1.96116i	0.143266	−	0.0689933i
$809$	−14.8578	+	18.6311i	−0.522371	+	0.655033i	−0.971111	−	0.238630i	$-0.923302\pi$
$809$	−14.8578	+	18.6311i	−0.522371	+	0.655033i	0.448739	+	0.893663i	$0.351873\pi$
$810$	7.89156			0.277281
$811$	54.7113			1.92117			0.960586	−	0.277982i	$-0.0896655\pi$
$811$	54.7113			1.92117			0.960586	+	0.277982i	$0.0896655\pi$
$812$	−0.534568	+	0.670327i	−0.0187597	+	0.0235239i
$813$	−4.79971	−	2.31142i	−0.168333	−	0.0810650i
$814$	−8.69070	−	38.0764i	−0.304609	−	1.33458i
$815$	4.25683	−	18.6504i	0.149110	−	0.653295i
$816$	0.209064			0.00731871
$817$	22.5972		0.000615211i	0.790576		2.15235e-5i
$818$	2.31221			0.0808446
$819$	0.516271	−	2.26193i	0.0180400	−	0.0790382i
$820$	1.01039	+	4.42682i	0.0352844	+	0.154591i
$821$	1.00889	+	0.485855i	0.0352104	+	0.0169565i	0.451406	−	0.892319i	$-0.350923\pi$
$821$	1.00889	+	0.485855i	0.0352104	+	0.0169565i	−0.416196	+	0.909275i	$0.636637\pi$
$822$	−21.8156	+	27.3559i	−0.760907	+	0.954148i
$823$	−3.53497			−0.123221			−0.0616107	−	0.998100i	$-0.519624\pi$
$823$	−3.53497			−0.123221			−0.0616107	+	0.998100i	$0.519624\pi$
$824$	4.26673			0.148639
$825$	−4.11828	+	5.16416i	−0.143380	+	0.179793i
$826$	−1.48262	+	0.713994i	−0.0515871	+	0.0248430i
$827$	−5.19931	−	6.51973i	−0.180798	−	0.226713i	0.683171	−	0.730258i	$-0.260600\pi$
$827$	−5.19931	−	6.51973i	−0.180798	−	0.226713i	−0.863969	+	0.503545i	$0.832029\pi$
$828$	0.889893	−	0.428550i	0.0309259	−	0.0148931i
$829$	12.3141	−	53.9515i	0.427685	−	1.87381i	−0.0557712	−	0.998444i	$-0.517762\pi$
$829$	12.3141	−	53.9515i	0.427685	−	1.87381i	0.483457	−	0.875368i	$-0.339381\pi$
$830$	1.49287	−	1.87199i	0.0518181	−	0.0649779i
$831$	9.20984	−	40.3509i	0.319486	−	1.39976i
$832$	3.97873	+	1.91605i	0.137938	+	0.0664272i
$833$	0.359544	+	0.450854i	0.0124575	+	0.0156212i
$834$	−10.4833	−	13.1456i	−0.363007	−	0.455196i
$835$	3.33067	+	14.5926i	0.115263	+	0.504999i
$836$	−12.5566	−	6.04696i	−0.434281	−	0.209138i
$837$	31.5083	−	15.1736i	1.08909	−	0.524476i
$838$	−2.23222	−	9.77998i	−0.0771106	−	0.337844i
$839$	6.37633	+	27.9365i	0.220135	+	0.964476i	0.957376	+	0.288845i	$0.0932714\pi$
$839$	6.37633	+	27.9365i	0.220135	+	0.964476i	−0.737240	+	0.675631i	$0.763871\pi$
$840$	2.32432	−	1.11933i	0.0801968	−	0.0386207i
$841$	25.8627	+	12.4548i	0.891816	+	0.429476i
$842$	−6.49358	−	28.4502i	−0.223783	−	0.980459i
$843$	31.2794	+	39.2231i	1.07732	+	1.35092i
$844$	15.5041	+	19.4415i	0.533672	+	0.669204i
$845$	5.85768	+	2.82091i	0.201510	+	0.0970422i
$846$	−0.489142	+	2.14307i	−0.0168171	+	0.0736803i
$847$	−5.27522	+	6.61492i	−0.181259	+	0.227291i
$848$	−2.74506	+	12.0269i	−0.0942659	+	0.413006i
$849$	−22.4100	+	10.7921i	−0.769108	+	0.370383i
$850$	−0.0798115	−	0.100080i	−0.00273751	−	0.00343273i
$851$	−25.8374	+	12.4426i	−0.885695	+	0.426528i
$852$	0.837657	−	1.05039i	0.0286977	−	0.0359857i
$853$	16.1448			0.552787			0.276394	−	0.961044i	$-0.410861\pi$
$853$	16.1448			0.552787			0.276394	+	0.961044i	$0.410861\pi$
$854$	2.64371			0.0904660
$855$	0.714627	−	0.896114i	0.0244397	−	0.0306464i
$856$	16.4878	+	7.94010i	0.563541	+	0.271387i
$857$	−7.26678	−	31.8378i	−0.248228	−	1.08756i	−0.933304	−	0.359088i	$-0.883088\pi$
$857$	−7.26678	−	31.8378i	−0.248228	−	1.08756i	0.685075	−	0.728472i	$-0.259769\pi$
$858$	−6.49071	+	28.4376i	−0.221589	+	0.970845i
$859$	13.2632			0.452535			0.226267	−	0.974065i	$-0.427348\pi$
$859$	13.2632			0.452535			0.226267	+	0.974065i	$0.427348\pi$
$860$	−4.08864	+	5.12670i	−0.139421	+	0.174819i
$861$	11.7140			0.399213
$862$	0.673065	−	2.94889i	0.0229247	−	0.100440i
$863$	3.20737	+	14.0524i	0.109180	+	0.478349i	0.999725	+	0.0234537i	$0.00746622\pi$
$863$	3.20737	+	14.0524i	0.109180	+	0.478349i	−0.890545	+	0.454895i	$0.849677\pi$
$864$	−4.90385	−	2.36157i	−0.166832	−	0.0803423i
$865$	−5.20377	+	6.52533i	−0.176934	+	0.221868i
$866$	−17.1944			−0.584291
$867$	27.7379			0.942029
$868$	6.32791	−	7.93494i	0.214783	−	0.269330i
$869$	27.1140	−	13.0574i	0.919778	−	0.442942i
$870$	0.552718	+	0.693086i	0.0187389	+	0.0234978i
$871$	18.2294	−	8.77880i	0.617679	−	0.297458i
$872$	2.60723	−	11.4230i	0.0882920	−	0.386832i
$873$	2.40098	−	3.01074i	0.0812610	−	0.101898i
$874$	−2.27714	+	9.97681i	−0.0770254	+	0.337471i
$875$	−1.42316	−	0.685356i	−0.0481115	−	0.0231693i
$876$	11.0921	+	13.9090i	0.374767	+	0.469943i
$877$	−3.02807	−	3.79708i	−0.102251	−	0.128218i	0.728073	−	0.685499i	$-0.240416\pi$
$877$	−3.02807	−	3.79708i	−0.102251	−	0.128218i	−0.830324	+	0.557281i	$0.811845\pi$
$878$	−1.07937	−	4.72903i	−0.0364270	−	0.159597i
$879$	10.1489	+	4.88747i	0.342315	+	0.164850i
$880$	3.64379	−	1.75476i	0.122832	−	0.0591528i
$881$	8.52145	+	37.3349i	0.287095	+	1.25784i	0.888491	+	0.458894i	$0.151754\pi$
$881$	8.52145	+	37.3349i	0.287095	+	1.25784i	−0.601396	+	0.798951i	$0.705389\pi$
$882$	−0.333416	−	1.46079i	−0.0112267	−	0.0491874i
$883$	24.5172	−	11.8069i	0.825071	−	0.397333i	0.0268067	−	0.999641i	$-0.491466\pi$
$883$	24.5172	−	11.8069i	0.825071	−	0.397333i	0.798264	+	0.602307i	$0.205752\pi$
$884$	−0.509308	−	0.245270i	−0.0171299	−	0.00824931i
$885$	0.378610	+	1.65880i	0.0127268	+	0.0557600i
$886$	−11.1411	−	13.9705i	−0.374294	−	0.469349i
$887$	7.14986	+	8.96564i	0.240069	+	0.301037i	0.887240	−	0.461308i	$-0.152620\pi$
$887$	7.14986	+	8.96564i	0.240069	+	0.301037i	−0.647171	+	0.762345i	$0.724048\pi$
$888$	14.2100	+	6.84317i	0.476856	+	0.229642i
$889$	0.252087	−	1.10446i	0.00845472	−	0.0370425i
$890$	9.68535	−	12.1450i	0.324654	−	0.407103i
$891$	7.10194	−	31.1156i	0.237924	−	1.04241i
$892$	−7.50580	+	3.61460i	−0.251313	+	0.121026i
$893$	−14.1999	−	17.8061i	−0.475181	−	0.595858i
$894$	−4.89847	+	2.35898i	−0.163829	+	0.0788960i
$895$	−4.20134	+	5.26831i	−0.140435	+	0.176100i
$896$	−1.57959			−0.0527702
$897$	21.4179			0.715122
$898$	−3.12216	+	3.91506i	−0.104188	+	0.130647i
$899$	3.14216	+	1.51318i	0.104797	+	0.0504675i
$900$	0.0740117	+	0.324266i	0.00246706	+	0.0108089i
$901$	0.351389	−	1.53954i	0.0117065	−	0.0512894i
$902$	18.3638			0.611447
$903$	10.5472	+	13.2265i	0.350987	+	0.440149i
$904$	−7.34464			−0.244279
$905$	−0.871124	+	3.81664i	−0.0289571	+	0.126870i
$906$	6.41329	+	28.0984i	0.213067	+	0.933508i
$907$	−8.91958	−	4.29544i	−0.296170	−	0.142628i	0.279898	−	0.960030i	$-0.409699\pi$
$907$	−8.91958	−	4.29544i	−0.296170	−	0.142628i	−0.576068	+	0.817402i	$0.695414\pi$
$908$	13.0854	−	16.4085i	0.434253	−	0.544536i
$909$	1.50338			0.0498639
$910$	−6.97553			−0.231237
$911$	−29.3775	+	36.8382i	−0.973319	+	1.22050i	0.00206724	+	0.999998i	$0.499342\pi$
$911$	−29.3775	+	36.8382i	−0.973319	+	1.22050i	−0.975386	+	0.220505i	$0.929229\pi$
$912$	5.07077	−	2.44195i	0.167910	−	0.0808612i
$913$	−6.03759	−	7.57090i	−0.199815	−	0.250560i
$914$	−19.1374	+	9.21607i	−0.633008	+	0.304841i
$915$	0.608255	−	2.66494i	0.0201083	−	0.0881002i
$916$	−5.06802	+	6.35509i	−0.167452	+	0.209978i
$917$	1.72386	−	7.55273i	0.0569269	−	0.249413i
$918$	0.627731	+	0.302299i	0.0207182	+	0.00997736i
$919$	37.2552	+	46.7165i	1.22893	+	1.54104i	0.746993	+	0.664832i	$0.231497\pi$
$919$	37.2552	+	46.7165i	1.22893	+	1.54104i	0.481942	+	0.876203i	$0.339932\pi$
$920$	−1.85152	−	2.32173i	−0.0610427	−	0.0765452i
$921$	8.47980	+	37.1524i	0.279419	+	1.22421i
$922$	−0.881795	−	0.424650i	−0.0290404	−	0.0139851i
$923$	−3.27294	+	1.57616i	−0.107730	+	0.0518800i
$924$	−2.32167	−	10.1719i	−0.0763774	−	0.334631i
$925$	−2.14888	−	9.41484i	−0.0706546	−	0.309558i
$926$	4.11639	−	1.98235i	0.135273	−	0.0651440i
$927$	1.27860	+	0.615741i	0.0419947	+	0.0202236i
$928$	−0.120782	−	0.529179i	−0.00396486	−	0.0173712i
$929$	−6.19250	−	7.76515i	−0.203169	−	0.254766i	0.669800	−	0.742542i	$-0.266380\pi$
$929$	−6.19250	−	7.76515i	−0.203169	−	0.254766i	−0.872969	+	0.487776i	$0.837808\pi$
$930$	−6.54275	−	8.20435i	−0.214545	−	0.269031i
$931$	13.9867	+	6.73566i	0.458397	+	0.220752i
$932$	1.01912	−	4.46508i	0.0333825	−	0.146258i
$933$	−19.8356	+	24.8730i	−0.649387	+	0.814306i
$934$	5.17981	−	22.6942i	0.169488	−	0.742577i
$935$	−0.466433	+	0.224622i	−0.0152540	+	0.00734593i
$936$	0.915784	+	1.14836i	0.0299333	+	0.0375352i
$937$	22.4321	−	10.8027i	0.732825	−	0.352910i	−0.0299697	−	0.999551i	$-0.509541\pi$
$937$	22.4321	−	10.8027i	0.732825	−	0.352910i	0.762794	+	0.646641i	$0.223827\pi$
$938$	−4.51232	+	5.65827i	−0.147332	+	0.184749i
$939$	−8.63411			−0.281763
$940$	6.60899			0.215561
$941$	16.2903	−	20.4274i	0.531049	−	0.665914i	−0.441865	−	0.897082i	$-0.645683\pi$
$941$	16.2903	−	20.4274i	0.531049	−	0.665914i	0.972914	+	0.231167i	$0.0742544\pi$
$942$	16.2248	+	7.81345i	0.528633	+	0.254576i
$943$	−3.00046	−	13.1459i	−0.0977086	−	0.428089i
$944$	0.231819	−	1.01566i	0.00754506	−	0.0330571i
$945$	8.59747			0.279676
$946$	16.5345	+	20.7348i	0.537584	+	0.674147i
$947$	−7.86026			−0.255424			−0.127712	−	0.991811i	$-0.540763\pi$
$947$	−7.86026			−0.255424			−0.127712	+	0.991811i	$0.540763\pi$
$948$	−2.70430	+	11.8483i	−0.0878315	+	0.384815i
$949$	−10.7040	−	46.8972i	−0.347466	−	1.52235i
$950$	−3.10478	−	1.49518i	−0.100732	−	0.0485101i
$951$	−15.2389	+	19.1089i	−0.494154	+	0.619649i
$952$	0.202199			0.00655331
$953$	−15.5307			−0.503088			−0.251544	−	0.967846i	$-0.580938\pi$
$953$	−15.5307			−0.503088			−0.251544	+	0.967846i	$0.580938\pi$
$954$	−2.55823	+	3.20792i	−0.0828259	+	0.103860i
$955$	−2.67530	+	1.28836i	−0.0865706	+	0.0416902i
$956$	15.4974	+	19.4331i	0.501222	+	0.628512i
$957$	3.23018	−	1.55557i	0.104417	−	0.0502846i
$958$	1.29615	−	5.67878i	0.0418766	−	0.183473i
$959$	−21.0993	+	26.4576i	−0.681330	+	0.854361i
$960$	−0.363425	+	1.59227i	−0.0117295	+	0.0513902i
$961$	−9.26501	−	4.46179i	−0.298871	−	0.143929i
$962$	−26.5891	−	33.3417i	−0.857268	−	1.07498i
$963$	3.79500	+	4.75878i	0.122292	+	0.153349i
$964$	−2.38741	−	10.4599i	−0.0768934	−	0.336892i
$965$	5.73228	+	2.76052i	0.184529	+	0.0888643i
$966$	−6.90232	+	3.32398i	−0.222078	+	0.106947i
$967$	−9.96150	−	43.6442i	−0.320340	−	1.40350i	−0.836949	−	0.547281i	$-0.815663\pi$
$967$	−9.96150	−	43.6442i	−0.320340	−	1.40350i	0.516609	−	0.856222i	$-0.327194\pi$
$968$	−1.19190	−	5.22205i	−0.0383091	−	0.167843i
$969$	−0.649098	+	0.312589i	−0.0208520	+	0.0100418i
$970$	−10.4313	−	5.02347i	−0.334930	−	0.161294i
$971$	−0.726403	−	3.18258i	−0.0233114	−	0.102134i	0.961934	−	0.273282i	$-0.0881093\pi$
$971$	−0.726403	−	3.18258i	−0.0233114	−	0.102134i	−0.985245	+	0.171149i	$0.945252\pi$
$972$	−2.14479	−	2.68948i	−0.0687942	−	0.0862652i
$973$	−10.1390	−	12.7140i	−0.325043	−	0.407591i
$974$	2.13264	+	1.02703i	0.0683342	+	0.0329080i
$975$	−1.60490	+	7.03154i	−0.0513980	+	0.225190i
$976$	−1.04352	+	1.30853i	−0.0334023	+	0.0418851i
$977$	−11.3153	+	49.5755i	−0.362008	+	1.58606i	0.386084	+	0.922464i	$0.373828\pi$
$977$	−11.3153	+	49.5755i	−0.362008	+	1.58606i	−0.748091	+	0.663596i	$0.769030\pi$
$978$	28.1494	−	13.5560i	0.900118	−	0.433474i
$979$	−39.1704	−	49.1182i	−1.25189	−	1.56982i
$980$	−4.05878	+	1.95461i	−0.129653	+	0.0624377i
$981$	2.42978	−	3.04685i	0.0775770	−	0.0972784i
$982$	18.1662			0.579708
$983$	19.4478			0.620288			0.310144	−	0.950690i	$-0.399623\pi$
$983$	19.4478			0.620288			0.310144	+	0.950690i	$0.399623\pi$
$984$	−4.62373	+	5.79797i	−0.147399	+	0.184832i
$985$	12.5218	+	6.03018i	0.398978	+	0.192138i
$986$	0.0154610	+	0.0677391i	0.000492379	+	0.00215725i
$987$	3.79396	−	16.6224i	0.120763	−	0.529097i
$988$	−15.2179			−0.484146
$989$	12.1416	−	15.2243i	0.386081	−	0.484104i
$990$	1.34516			0.0427518
$991$	4.14628	−	18.1661i	0.131711	−	0.577064i	−0.865398	−	0.501085i	$-0.832935\pi$
$991$	4.14628	−	18.1661i	0.131711	−	0.577064i	0.997109	−	0.0759794i	$-0.0242083\pi$
$992$	1.42974	+	6.26412i	0.0453944	+	0.198886i
$993$	25.1843	+	12.1281i	0.799199	+	0.384874i
$994$	0.810151	−	1.01590i	0.0256964	−	0.0322223i
$995$	4.58188			0.145255
$996$	3.91052			0.123910
$997$	9.89418	−	12.4069i	0.313352	−	0.392931i	−0.600068	−	0.799949i	$-0.704860\pi$
$997$	9.89418	−	12.4069i	0.313352	−	0.392931i	0.913420	+	0.407018i	$0.133431\pi$
$998$	−7.89072	+	3.79997i	−0.249776	+	0.120286i
$999$	32.7716	+	41.0943i	1.03685	+	1.30017i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.b.121.3	✓	18
43.16	even	7	inner	430.2.k.b.231.3	yes	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.b.121.3	✓	18	1.1	even	1	trivial
430.2.k.b.231.3	yes	18	43.16	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.222521 + 0.974928i) q^{2} +(0.363425 + 1.59227i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-0.623490 + 0.781831i) q^{5} -1.63322 q^{6} -1.57959 q^{7} +(0.623490 - 0.781831i) q^{8} +(0.299667 - 0.144312i) q^{9} +O(q^{10})\)	\(q+(-0.222521 + 0.974928i) q^{2} +(0.363425 + 1.59227i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-0.623490 + 0.781831i) q^{5} -1.63322 q^{6} -1.57959 q^{7} +(0.623490 - 0.781831i) q^{8} +(0.299667 - 0.144312i) q^{9} +(-0.623490 - 0.781831i) q^{10} +(-3.64379 + 1.75476i) q^{11} +(0.363425 - 1.59227i) q^{12} +(-2.75336 + 3.45261i) q^{13} +(0.351491 - 1.53998i) q^{14} +(-1.47148 - 0.708626i) q^{15} +(0.623490 + 0.781831i) q^{16} +(-0.0798115 - 0.100080i) q^{17} +(0.0740117 + 0.324266i) q^{18} +(-3.10478 - 1.49518i) q^{19} +(0.900969 - 0.433884i) q^{20} +(-0.574060 - 2.51512i) q^{21} +(-0.899941 - 3.94290i) q^{22} +(-2.67552 + 1.28846i) q^{23} +(1.47148 + 0.708626i) q^{24} +(-0.222521 - 0.974928i) q^{25} +(-2.75336 - 3.45261i) q^{26} +(3.39357 + 4.25540i) q^{27} +(1.42316 + 0.685356i) q^{28} +(-0.120782 + 0.529179i) q^{29} +(1.01829 - 1.27690i) q^{30} +(1.42974 - 6.26412i) q^{31} +(-0.900969 + 0.433884i) q^{32} +(-4.11828 - 5.16416i) q^{33} +(0.115331 - 0.0555405i) q^{34} +(0.984855 - 1.23497i) q^{35} -0.332605 q^{36} +9.65696 q^{37} +(2.14857 - 2.69422i) q^{38} +(-6.49812 - 3.12933i) q^{39} +(0.222521 + 0.974928i) q^{40} +(-1.01039 + 4.42682i) q^{41} +2.57980 q^{42} +(-5.90813 + 2.84501i) q^{43} +4.04430 q^{44} +(-0.0740117 + 0.324266i) q^{45} +(-0.660799 - 2.89515i) q^{46} +(5.95449 + 2.86753i) q^{47} +(-1.01829 + 1.27690i) q^{48} -4.50491 q^{49} +1.00000 q^{50} +(0.130349 - 0.163453i) q^{51} +(3.97873 - 1.91605i) q^{52} +(7.69150 + 9.64483i) q^{53} +(-4.90385 + 2.36157i) q^{54} +(0.899941 - 3.94290i) q^{55} +(-0.984855 + 1.23497i) q^{56} +(1.25238 - 5.48702i) q^{57} +(-0.489035 - 0.235507i) q^{58} +(-0.649542 - 0.814500i) q^{59} +(1.01829 + 1.27690i) q^{60} +(0.372428 + 1.63171i) q^{61} +(5.78892 + 2.78780i) q^{62} +(-0.473350 + 0.227953i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(-0.982664 - 4.30533i) q^{65} +(5.95109 - 2.86589i) q^{66} +(-4.12798 - 1.98793i) q^{67} +(0.0284844 + 0.124798i) q^{68} +(-3.02393 - 3.79189i) q^{69} +(0.984855 + 1.23497i) q^{70} +(0.741145 + 0.356917i) q^{71} +(0.0740117 - 0.324266i) q^{72} +(-6.79156 + 8.51635i) q^{73} +(-2.14888 + 9.41484i) q^{74} +(1.47148 - 0.708626i) q^{75} +(2.14857 + 2.69422i) q^{76} +(5.75567 - 2.77178i) q^{77} +(4.49684 - 5.63886i) q^{78} -7.44115 q^{79} -1.00000 q^{80} +(-4.92031 + 6.16987i) q^{81} +(-4.09099 - 1.97012i) q^{82} +(0.532798 + 2.33434i) q^{83} +(-0.574060 + 2.51512i) q^{84} +0.128008 q^{85} +(-1.45899 - 6.39307i) q^{86} -0.886490 q^{87} +(-0.899941 + 3.94290i) q^{88} +(3.45666 + 15.1446i) q^{89} +(-0.299667 - 0.144312i) q^{90} +(4.34917 - 5.45369i) q^{91} +2.96960 q^{92} +10.4938 q^{93} +(-4.12064 + 5.16712i) q^{94} +(3.10478 - 1.49518i) q^{95} +(-1.01829 - 1.27690i) q^{96} +(10.4313 - 5.02347i) q^{97} +(1.00244 - 4.39196i) q^{98} +(-0.838691 + 1.05168i) 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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