LMFDB - Embedded newform 430.2.k.d.391.3

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:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			391.3
Character	$\chi$	$=$	430.391
Dual form			430.2.k.d.11.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623490 + 0.781831i) q^{2} +(0.0295669 + 0.0370758i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} -0.0474217 q^{6} +1.52167 q^{7} +(0.900969 + 0.433884i) q^{8} +(0.667062 - 2.92259i) q^{9} +O(q^{10})$	\(q+(-0.623490 + 0.781831i) q^{2} +(0.0295669 + 0.0370758i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} -0.0474217 q^{6} +1.52167 q^{7} +(0.900969 + 0.433884i) q^{8} +(0.667062 - 2.92259i) q^{9} +(-0.900969 + 0.433884i) q^{10} +(0.936013 - 4.10094i) q^{11} +(0.0295669 - 0.0370758i) q^{12} +(-2.84074 - 1.36803i) q^{13} +(-0.948748 + 1.18969i) q^{14} +(0.0105523 + 0.0462327i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(2.02986 - 0.977530i) q^{17} +(1.86907 + 2.34374i) q^{18} +(0.754126 + 3.30404i) q^{19} +(0.222521 - 0.974928i) q^{20} +(0.0449912 + 0.0564172i) q^{21} +(2.62265 + 3.28870i) q^{22} +(-0.690016 + 3.02316i) q^{23} +(0.0105523 + 0.0462327i) q^{24} +(0.623490 + 0.781831i) q^{25} +(2.84074 - 1.36803i) q^{26} +(0.256257 - 0.123407i) q^{27} +(-0.338604 - 1.48352i) q^{28} +(2.23414 - 2.80152i) q^{29} +(-0.0427255 - 0.0205755i) q^{30} +(6.42620 - 8.05820i) q^{31} +(0.222521 - 0.974928i) q^{32} +(0.179721 - 0.0865489i) q^{33} +(-0.501334 + 2.19649i) q^{34} +(1.37098 + 0.660230i) q^{35} -2.99775 q^{36} +11.6812 q^{37} +(-3.05339 - 1.47044i) q^{38} +(-0.0332713 - 0.145771i) q^{39} +(0.623490 + 0.781831i) q^{40} +(-6.84193 + 8.57951i) q^{41} -0.0721603 q^{42} +(6.35918 - 1.60025i) q^{43} -4.20641 q^{44} +(1.86907 - 2.34374i) q^{45} +(-1.93338 - 2.42438i) q^{46} +(1.58871 + 6.96059i) q^{47} +(-0.0427255 - 0.0205755i) q^{48} -4.68451 q^{49} -1.00000 q^{50} +(0.0962594 + 0.0463561i) q^{51} +(-0.701606 + 3.07394i) q^{52} +(-8.66828 + 4.17442i) q^{53} +(-0.0632902 + 0.277292i) q^{54} +(2.62265 - 3.28870i) q^{55} +(1.37098 + 0.660230i) q^{56} +(-0.100203 + 0.125650i) q^{57} +(0.797355 + 3.49344i) q^{58} +(-0.584468 + 0.281465i) q^{59} +(0.0427255 - 0.0205755i) q^{60} +(-6.51985 - 8.17564i) q^{61} +(2.29348 + 10.0484i) q^{62} +(1.01505 - 4.44723i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-1.96586 - 2.46510i) q^{65} +(-0.0443873 + 0.194474i) q^{66} +(0.992569 + 4.34873i) q^{67} +(-1.40471 - 1.76145i) q^{68} +(-0.132488 + 0.0638026i) q^{69} +(-1.37098 + 0.660230i) q^{70} +(3.24844 + 14.2324i) q^{71} +(1.86907 - 2.34374i) q^{72} +(0.510594 + 0.245889i) q^{73} +(-7.28314 + 9.13277i) q^{74} +(-0.0105523 + 0.0462327i) q^{75} +(3.05339 - 1.47044i) q^{76} +(1.42431 - 6.24030i) q^{77} +(0.134713 + 0.0648743i) q^{78} +0.429888 q^{79} -1.00000 q^{80} +(-8.09049 - 3.89617i) q^{81} +(-2.44186 - 10.6985i) q^{82} +(-7.79370 - 9.77300i) q^{83} +(0.0449912 - 0.0564172i) q^{84} +2.25298 q^{85} +(-2.71376 + 5.96955i) q^{86} +0.169925 q^{87} +(2.62265 - 3.28870i) q^{88} +(-7.52804 - 9.43987i) q^{89} +(0.667062 + 2.92259i) q^{90} +(-4.32269 - 2.08170i) q^{91} +3.10090 q^{92} +0.488767 q^{93} +(-6.43255 - 3.09775i) q^{94} +(-0.754126 + 3.30404i) q^{95} +(0.0427255 - 0.0205755i) q^{96} +(-4.10328 + 17.9777i) q^{97} +(2.92074 - 3.66250i) q^{98} +(-11.3610 - 5.47117i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) $ 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{2}{7}\right)$

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 $

$2$	−0.623490	+	0.781831i	−0.440874	+	0.552838i
$2$	−0.623490	+	0.781831i	−0.440874	+	0.552838i
$3$	0.0295669	+	0.0370758i	0.0170705	+	0.0214057i	0.790293	−	0.612729i	$-0.209928\pi$
$3$	0.0295669	+	0.0370758i	0.0170705	+	0.0214057i	−0.773223	+	0.634134i	$0.781357\pi$
$4$	−0.222521	−	0.974928i	−0.111260	−	0.487464i
$5$	0.900969	+	0.433884i	0.402926	+	0.194039i
$5$	0.900969	+	0.433884i	0.402926	+	0.194039i
$6$	−0.0474217			−0.0193598
$7$	1.52167			0.575139			0.287569	−	0.957760i	$-0.407153\pi$
$7$	1.52167			0.575139			0.287569	+	0.957760i	$0.407153\pi$
$8$	0.900969	+	0.433884i	0.318541	+	0.153401i
$9$	0.667062	−	2.92259i	0.222354	−	0.974197i
$10$	−0.900969	+	0.433884i	−0.284911	+	0.137206i
$11$	0.936013	−	4.10094i	0.282219	−	1.23648i	−0.612723	−	0.790298i	$-0.709926\pi$
$11$	0.936013	−	4.10094i	0.282219	−	1.23648i	0.894942	−	0.446183i	$-0.147217\pi$
$12$	0.0295669	−	0.0370758i	0.00853524	−	0.0107029i
$13$	−2.84074	−	1.36803i	−0.787880	−	0.379423i	−0.00372923	−	0.999993i	$-0.501187\pi$
$13$	−2.84074	−	1.36803i	−0.787880	−	0.379423i	−0.784151	+	0.620570i	$0.786901\pi$
$14$	−0.948748	+	1.18969i	−0.253564	+	0.317959i
$15$	0.0105523	+	0.0462327i	0.00272460	+	0.0119372i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	2.02986	−	0.977530i	0.492314	−	0.237086i	−0.171219	−	0.985233i	$-0.554771\pi$
$17$	2.02986	−	0.977530i	0.492314	−	0.237086i	0.663533	+	0.748147i	$0.269056\pi$
$18$	1.86907	+	2.34374i	0.440543	+	0.552424i
$19$	0.754126	+	3.30404i	0.173008	+	0.757999i	0.984749	+	0.173981i	$0.0556632\pi$
$19$	0.754126	+	3.30404i	0.173008	+	0.757999i	−0.811741	+	0.584018i	$0.801480\pi$
$20$	0.222521	−	0.974928i	0.0497572	−	0.218001i
$21$	0.0449912	+	0.0564172i	0.00981789	+	0.0123112i
$22$	2.62265	+	3.28870i	0.559151	+	0.701153i
$23$	−0.690016	+	3.02316i	−0.143878	+	0.630372i	0.850635	+	0.525757i	$0.176218\pi$
$23$	−0.690016	+	3.02316i	−0.143878	+	0.630372i	−0.994513	+	0.104615i	$0.966639\pi$
$24$	0.0105523	+	0.0462327i	0.00215398	+	0.00943722i
$25$	0.623490	+	0.781831i	0.124698	+	0.156366i
$26$	2.84074	−	1.36803i	0.557116	−	0.268293i
$27$	0.256257	−	0.123407i	0.0493166	−	0.0237496i
$28$	−0.338604	−	1.48352i	−0.0639902	−	0.280359i
$29$	2.23414	−	2.80152i	0.414869	−	0.520230i	−0.529858	−	0.848086i	$-0.677755\pi$
$29$	2.23414	−	2.80152i	0.414869	−	0.520230i	0.944728	+	0.327857i	$0.106326\pi$
$30$	−0.0427255	−	0.0205755i	−0.00780057	−	0.00375655i
$31$	6.42620	−	8.05820i	1.15418	−	1.44730i	0.281126	−	0.959671i	$-0.409292\pi$
$31$	6.42620	−	8.05820i	1.15418	−	1.44730i	0.873053	−	0.487625i	$-0.162137\pi$
$32$	0.222521	−	0.974928i	0.0393365	−	0.172345i
$33$	0.179721	−	0.0865489i	0.0312853	−	0.0150662i
$34$	−0.501334	+	2.19649i	−0.0859781	+	0.376695i
$35$	1.37098	+	0.660230i	0.231738	+	0.111599i
$36$	−2.99775			−0.499625
$37$	11.6812			1.92038			0.960192	−	0.279339i	$-0.0901154\pi$
$37$	11.6812			1.92038			0.960192	+	0.279339i	$0.0901154\pi$
$38$	−3.05339	−	1.47044i	−0.495326	−	0.238536i
$39$	−0.0332713	−	0.145771i	−0.00532768	−	0.0233421i
$40$	0.623490	+	0.781831i	0.0985824	+	0.123618i
$41$	−6.84193	+	8.57951i	−1.06853	+	1.33989i	−0.131237	+	0.991351i	$0.541895\pi$
$41$	−6.84193	+	8.57951i	−1.06853	+	1.33989i	−0.937293	+	0.348543i	$0.886676\pi$
$42$	−0.0721603			−0.0111346
$43$	6.35918	−	1.60025i	0.969766	−	0.244036i
$43$	6.35918	−	1.60025i	0.969766	−	0.244036i
$44$	−4.20641			−0.634139
$45$	1.86907	−	2.34374i	0.278624	−	0.349384i
$46$	−1.93338	−	2.42438i	−0.285062	−	0.357456i
$47$	1.58871	+	6.96059i	0.231737	+	1.01531i	0.948198	+	0.317679i	$0.102904\pi$
$47$	1.58871	+	6.96059i	0.231737	+	1.01531i	−0.716461	+	0.697627i	$0.754239\pi$
$48$	−0.0427255	−	0.0205755i	−0.00616689	−	0.00296982i
$49$	−4.68451			−0.669215
$50$	−1.00000			−0.141421
$51$	0.0962594	+	0.0463561i	0.0134790	+	0.00649115i
$52$	−0.701606	+	3.07394i	−0.0972952	+	0.426278i
$53$	−8.66828	+	4.17442i	−1.19068	+	0.573401i	−0.921005	−	0.389550i	$-0.872631\pi$
$53$	−8.66828	+	4.17442i	−1.19068	+	0.573401i	−0.269675	+	0.962951i	$0.586916\pi$
$54$	−0.0632902	+	0.277292i	−0.00861270	+	0.0377347i
$55$	2.62265	−	3.28870i	0.353638	−	0.443448i
$56$	1.37098	+	0.660230i	0.183205	+	0.0882269i
$57$	−0.100203	+	0.125650i	−0.0132722	+	0.0166428i
$58$	0.797355	+	3.49344i	0.104698	+	0.458711i
$59$	−0.584468	+	0.281465i	−0.0760913	+	0.0366436i	−0.471542	−	0.881843i	$-0.656303\pi$
$59$	−0.584468	+	0.281465i	−0.0760913	+	0.0366436i	0.395451	+	0.918487i	$0.370588\pi$
$60$	0.0427255	−	0.0205755i	0.00551583	−	0.00265629i
$61$	−6.51985	−	8.17564i	−0.834782	−	1.04678i	−0.998185	−	0.0602239i	$-0.980819\pi$
$61$	−6.51985	−	8.17564i	−0.834782	−	1.04678i	0.163403	−	0.986559i	$-0.447753\pi$
$62$	2.29348	+	10.0484i	0.291273	+	1.27615i
$63$	1.01505	−	4.44723i	0.127884	−	0.560298i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	−1.96586	−	2.46510i	−0.243834	−	0.305759i
$66$	−0.0443873	+	0.194474i	−0.00546370	+	0.0239380i
$67$	0.992569	+	4.34873i	0.121262	+	0.531282i	0.998671	+	0.0515394i	$0.0164128\pi$
$67$	0.992569	+	4.34873i	0.121262	+	0.531282i	−0.877409	+	0.479742i	$0.840730\pi$
$68$	−1.40471	−	1.76145i	−0.170346	−	0.213607i
$69$	−0.132488	+	0.0638026i	−0.0159496	+	0.00768093i
$70$	−1.37098	+	0.660230i	−0.163864	+	0.0789125i
$71$	3.24844	+	14.2324i	0.385519	+	1.68907i	0.679837	+	0.733363i	$0.262050\pi$
$71$	3.24844	+	14.2324i	0.385519	+	1.68907i	−0.294318	+	0.955708i	$0.595092\pi$
$72$	1.86907	−	2.34374i	0.220272	−	0.276212i
$73$	0.510594	+	0.245889i	0.0597605	+	0.0287791i	0.463525	−	0.886084i	$-0.346584\pi$
$73$	0.510594	+	0.245889i	0.0597605	+	0.0287791i	−0.403765	+	0.914863i	$0.632299\pi$
$74$	−7.28314	+	9.13277i	−0.846648	+	1.06166i
$75$	−0.0105523	+	0.0462327i	−0.00121848	+	0.00533850i
$76$	3.05339	−	1.47044i	0.350248	−	0.168671i
$77$	1.42431	−	6.24030i	0.162315	−	0.711148i
$78$	0.134713	+	0.0648743i	0.0152532	+	0.00734557i
$79$	0.429888			0.0483662			0.0241831	−	0.999708i	$-0.492302\pi$
$79$	0.429888			0.0483662			0.0241831	+	0.999708i	$0.492302\pi$
$80$	−1.00000			−0.111803
$81$	−8.09049	−	3.89617i	−0.898943	−	0.432908i
$82$	−2.44186	−	10.6985i	−0.269658	−	1.18145i
$83$	−7.79370	−	9.77300i	−0.855470	−	1.07273i	−0.996572	−	0.0827305i	$-0.973636\pi$
$83$	−7.79370	−	9.77300i	−0.855470	−	1.07273i	0.141102	−	0.989995i	$-0.454936\pi$
$84$	0.0449912	−	0.0564172i	0.00490895	−	0.00615562i
$85$	2.25298			0.244370
$86$	−2.71376	+	5.96955i	−0.292632	+	0.643713i
$87$	0.169925			0.0182179
$88$	2.62265	−	3.28870i	0.279575	−	0.350577i
$89$	−7.52804	−	9.43987i	−0.797971	−	1.00062i	−0.999775	−	0.0211980i	$-0.993252\pi$
$89$	−7.52804	−	9.43987i	−0.797971	−	1.00062i	0.201804	−	0.979426i	$-0.435319\pi$
$90$	0.667062	+	2.92259i	0.0703146	+	0.308068i
$91$	−4.32269	−	2.08170i	−0.453141	−	0.218221i
$92$	3.10090			0.323292
$93$	0.488767			0.0506828
$94$	−6.43255	−	3.09775i	−0.663467	−	0.319509i
$95$	−0.754126	+	3.30404i	−0.0773717	+	0.338988i
$96$	0.0427255	−	0.0205755i	0.00436065	−	0.00209998i
$97$	−4.10328	+	17.9777i	−0.416625	+	1.82536i	0.134476	+	0.990917i	$0.457065\pi$
$97$	−4.10328	+	17.9777i	−0.416625	+	1.82536i	−0.551101	+	0.834438i	$0.685792\pi$
$98$	2.92074	−	3.66250i	0.295040	−	0.369968i
$99$	−11.3610	−	5.47117i	−1.14182	−	0.549873i
$100$	0.623490	−	0.781831i	0.0623490	−	0.0781831i
$101$	−3.03687	−	13.3054i	−0.302180	−	1.32394i	−0.866829	−	0.498606i	$-0.833846\pi$
$101$	−3.03687	−	13.3054i	−0.302180	−	1.32394i	0.564649	−	0.825331i	$-0.309012\pi$
$102$	−0.0962594	+	0.0463561i	−0.00953110	+	0.00458994i
$103$	−2.13023	+	1.02586i	−0.209898	+	0.101081i	−0.535879	−	0.844295i	$-0.680020\pi$
$103$	−2.13023	+	1.02586i	−0.209898	+	0.101081i	0.325981	+	0.945376i	$0.394305\pi$
$104$	−1.96586	−	2.46510i	−0.192768	−	0.241723i
$105$	0.0160572	+	0.0703511i	0.00156702	+	0.00686557i
$106$	2.14089	−	9.37985i	0.207942	−	0.911051i
$107$	8.37380	+	10.5004i	0.809526	+	1.01511i	0.999445	+	0.0333134i	$0.0106060\pi$
$107$	8.37380	+	10.5004i	0.809526	+	1.01511i	−0.189919	+	0.981800i	$0.560823\pi$
$108$	−0.177335	−	0.222371i	−0.0170641	−	0.0213977i
$109$	1.95485	−	8.56475i	0.187240	−	0.820354i	−0.790823	−	0.612045i	$-0.790347\pi$
$109$	1.95485	−	8.56475i	0.187240	−	0.820354i	0.978063	−	0.208309i	$-0.0667959\pi$
$110$	0.936013	+	4.10094i	0.0892454	+	0.391009i
$111$	0.345379	+	0.433091i	0.0327819	+	0.0411072i
$112$	−1.37098	+	0.660230i	−0.129546	+	0.0623858i
$113$	−9.89119	+	4.76335i	−0.930485	+	0.448098i	−0.836803	−	0.547504i	$-0.815578\pi$
$113$	−9.89119	+	4.76335i	−0.930485	+	0.448098i	−0.0936820	+	0.995602i	$0.529864\pi$
$114$	−0.0357619	−	0.156683i	−0.00334941	−	0.0146747i
$115$	−1.93338	+	2.42438i	−0.180289	+	0.226075i
$116$	−3.22843	−	1.55473i	−0.299752	−	0.144353i
$117$	−5.89315	+	7.38977i	−0.544821	+	0.683184i
$118$	0.144352	−	0.632447i	0.0132887	−	0.0582214i
$119$	3.08879	−	1.48748i	0.283149	−	0.136357i
$120$	−0.0105523	+	0.0462327i	−0.000963290	+	0.00422045i
$121$	−6.03094	−	2.90435i	−0.548268	−	0.264032i
$122$	10.4570			0.946735
$123$	−0.520387			−0.0469217
$124$	−9.28613	−	4.47196i	−0.833919	−	0.401594i
$125$	0.222521	+	0.974928i	0.0199029	+	0.0872002i
$126$	2.84411	+	3.56640i	0.253374	+	0.317720i
$127$	10.0753	−	12.6340i	0.894037	−	1.12109i	−0.0980061	−	0.995186i	$-0.531246\pi$
$127$	10.0753	−	12.6340i	0.894037	−	1.12109i	0.992043	−	0.125901i	$-0.0401821\pi$
$128$	−1.00000			−0.0883883
$129$	0.247352	+	0.188457i	0.0217781	+	0.0165927i
$130$	3.15299			0.276535
$131$	−4.29775	+	5.38921i	−0.375496	+	0.470857i	−0.933291	−	0.359122i	$-0.883076\pi$
$131$	−4.29775	+	5.38921i	−0.375496	+	0.470857i	0.557795	+	0.829979i	$0.311648\pi$
$132$	−0.124371	−	0.155956i	−0.0108251	−	0.0135742i
$133$	1.14753	+	5.02768i	0.0995038	+	0.435955i
$134$	−4.01883	−	1.93537i	−0.347174	−	0.167190i
$135$	0.284423			0.0244793
$136$	2.25298			0.193191
$137$	1.50907	+	0.726731i	0.128929	+	0.0620888i	0.497236	−	0.867615i	$-0.334348\pi$
$137$	1.50907	+	0.726731i	0.128929	+	0.0620888i	−0.368307	+	0.929704i	$0.620063\pi$
$138$	0.0327217	−	0.143363i	0.00278546	−	0.0122039i
$139$	4.65479	−	2.24163i	0.394814	−	0.190132i	−0.225934	−	0.974143i	$-0.572543\pi$
$139$	4.65479	−	2.24163i	0.394814	−	0.190132i	0.620748	+	0.784010i	$0.286829\pi$
$140$	0.338604	−	1.48352i	0.0286173	−	0.125381i
$141$	−0.211096	+	0.264706i	−0.0177775	+	0.0222923i
$142$	−13.1527	−	6.33400i	−1.10375	−	0.531537i
$143$	−8.26918	+	10.3692i	−0.691504	+	0.867118i
$144$	0.667062	+	2.92259i	0.0555885	+	0.243549i
$145$	3.22843	−	1.55473i	0.268106	−	0.129113i
$146$	−0.510594	+	0.245889i	−0.0422570	+	0.0203499i
$147$	−0.138507	−	0.173682i	−0.0114238	−	0.0143250i
$148$	−2.59932	−	11.3884i	−0.213663	−	0.936118i
$149$	−2.99436	+	13.1192i	−0.245308	+	1.07476i	0.690799	+	0.723047i	$0.257259\pi$
$149$	−2.99436	+	13.1192i	−0.245308	+	1.07476i	−0.936106	+	0.351717i	$0.885598\pi$
$150$	−0.0295669	−	0.0370758i	−0.00241413	−	0.00302722i
$151$	3.74410	+	4.69495i	0.304690	+	0.382070i	0.910479	−	0.413556i	$-0.135714\pi$
$151$	3.74410	+	4.69495i	0.304690	+	0.382070i	−0.605788	+	0.795626i	$0.707142\pi$
$152$	−0.754126	+	3.30404i	−0.0611677	+	0.267993i
$153$	−1.50288	−	6.58453i	−0.121500	−	0.532327i
$154$	3.99082	+	5.00433i	0.321589	+	0.403260i
$155$	9.28613	−	4.47196i	0.745880	−	0.359197i
$156$	−0.134713	+	0.0648743i	−0.0107857	+	0.00519410i
$157$	−1.02171	−	4.47642i	−0.0815417	−	0.357257i	0.917653	−	0.397383i	$-0.130081\pi$
$157$	−1.02171	−	4.47642i	−0.0815417	−	0.357257i	−0.999195	+	0.0401253i	$0.987224\pi$
$158$	−0.268031	+	0.336100i	−0.0213234	+	0.0267387i
$159$	−0.411065	−	0.197958i	−0.0325995	−	0.0156991i
$160$	0.623490	−	0.781831i	0.0492912	−	0.0618092i
$161$	−1.04998	+	4.60026i	−0.0827500	+	0.362551i
$162$	8.09049	−	3.89617i	0.635649	−	0.306112i
$163$	−2.61352	+	11.4506i	−0.204707	+	0.896878i	0.763318	+	0.646023i	$0.223569\pi$
$163$	−2.61352	+	11.4506i	−0.204707	+	0.896878i	−0.968025	+	0.250855i	$0.919288\pi$
$164$	9.88688	+	4.76127i	0.772035	+	0.371793i
$165$	0.199475			0.0155291
$166$	12.5001			0.970198
$167$	−13.1232	−	6.31980i	−1.01550	−	0.489041i	−0.149332	−	0.988787i	$-0.547712\pi$
$167$	−13.1232	−	6.31980i	−1.01550	−	0.489041i	−0.866172	+	0.499746i	$0.833427\pi$
$168$	0.0160572	+	0.0703511i	0.00123884	+	0.00542771i
$169$	−1.90705	−	2.39137i	−0.146696	−	0.183951i
$170$	−1.40471	+	1.76145i	−0.107736	+	0.135097i
$171$	10.1594			0.776910
$172$	−2.97518	−	5.84365i	−0.226855	−	0.445574i
$173$	−3.31994			−0.252410			−0.126205	−	0.992004i	$-0.540280\pi$
$173$	−3.31994			−0.252410			−0.126205	+	0.992004i	$0.540280\pi$
$174$	−0.105947	+	0.132853i	−0.00803180	+	0.0100716i
$175$	0.948748	+	1.18969i	0.0717186	+	0.0899323i
$176$	0.936013	+	4.10094i	0.0705546	+	0.309120i
$177$	−0.0277165	−	0.0133476i	−0.00208330	−	0.00100326i
$178$	12.0740			0.904988
$179$	13.5875			1.01558			0.507788	−	0.861482i	$-0.330463\pi$
$179$	13.5875			1.01558			0.507788	+	0.861482i	$0.330463\pi$
$180$	−2.70088	−	1.30068i	−0.201312	−	0.0969466i
$181$	−3.14088	+	13.7611i	−0.233460	+	1.02285i	0.713286	+	0.700873i	$0.247206\pi$
$181$	−3.14088	+	13.7611i	−0.233460	+	1.02285i	−0.946746	+	0.321982i	$0.895651\pi$
$182$	4.32269	−	2.08170i	0.320419	−	0.154306i
$183$	0.110346	−	0.483457i	0.00815701	−	0.0357382i
$184$	−1.93338	+	2.42438i	−0.142531	+	0.178728i
$185$	10.5244	+	5.06830i	0.773772	+	0.372629i
$186$	−0.304741	+	0.382133i	−0.0223447	+	0.0280194i
$187$	−2.10882	−	9.23932i	−0.154212	−	0.675646i
$188$	6.43255	−	3.09775i	0.469142	−	0.225927i
$189$	0.389939	−	0.187785i	0.0283639	−	0.0136593i
$190$	−2.11301	−	2.64964i	−0.153294	−	0.192225i
$191$	3.26725	+	14.3148i	0.236410	+	1.03578i	0.944204	+	0.329361i	$0.106833\pi$
$191$	3.26725	+	14.3148i	0.236410	+	1.03578i	−0.707794	+	0.706419i	$0.750310\pi$
$192$	−0.0105523	+	0.0462327i	−0.000761548	+	0.00333656i
$193$	2.30330	+	2.88825i	0.165795	+	0.207901i	0.857788	−	0.514004i	$-0.171838\pi$
$193$	2.30330	+	2.88825i	0.165795	+	0.207901i	−0.691993	+	0.721905i	$0.743267\pi$
$194$	−11.4971	−	14.4170i	−0.825447	−	1.03508i
$195$	0.0332713	−	0.145771i	0.00238261	−	0.0104389i
$196$	1.04240	+	4.56706i	0.0744572	+	0.326218i
$197$	4.07234	+	5.10656i	0.290142	+	0.363827i	0.905445	−	0.424464i	$-0.139537\pi$
$197$	4.07234	+	5.10656i	0.290142	+	0.363827i	−0.615302	+	0.788291i	$0.710966\pi$
$198$	11.3610	−	5.47117i	0.807391	−	0.388819i
$199$	−1.01722	+	0.489865i	−0.0721085	+	0.0347256i	−0.469590	−	0.882884i	$-0.655598\pi$
$199$	−1.01722	+	0.489865i	−0.0721085	+	0.0347256i	0.397482	+	0.917610i	$0.369884\pi$
$200$	0.222521	+	0.974928i	0.0157346	+	0.0689378i
$201$	−0.131885	+	0.165379i	−0.00930247	+	0.0116649i
$202$	12.2960	+	5.92146i	0.865146	+	0.416633i
$203$	3.39963	−	4.26300i	0.238607	−	0.299204i
$204$	0.0237741	−	0.104161i	0.00166452	−	0.00729274i
$205$	−9.88688	+	4.76127i	−0.690529	+	0.332541i
$206$	0.526123	−	2.30510i	0.0366567	−	0.160604i
$207$	8.37517	+	4.03327i	0.582115	+	0.280332i
$208$	3.15299			0.218620
$209$	14.2556			0.986078
$210$	−0.0650142	−	0.0313092i	−0.00448641	−	0.00216054i
$211$	2.95965	+	12.9671i	0.203751	+	0.892689i	0.968628	+	0.248514i	$0.0799422\pi$
$211$	2.95965	+	12.9671i	0.203751	+	0.892689i	−0.764878	+	0.644175i	$0.777201\pi$
$212$	5.99864	+	7.52205i	0.411988	+	0.516617i
$213$	−0.431629	+	0.541246i	−0.0295747	+	0.0370856i
$214$	−13.4305			−0.918092
$215$	6.42375	+	1.31737i	0.438096	+	0.0898437i
$216$	0.284423			0.0193526
$217$	9.77858	−	12.2620i	0.663813	−	0.832396i
$218$	5.47736	+	6.86839i	0.370974	+	0.465186i
$219$	0.00598017	+	0.0262008i	0.000404102	+	0.00177049i
$220$	−3.78984	−	1.82509i	−0.255511	−	0.123048i
$221$	−7.10360			−0.477840
$222$	−0.553944			−0.0371783
$223$	−14.3748	−	6.92254i	−0.962607	−	0.463567i	−0.114518	−	0.993421i	$-0.536532\pi$
$223$	−14.3748	−	6.92254i	−0.962607	−	0.463567i	−0.848089	+	0.529854i	$0.822247\pi$
$224$	0.338604	−	1.48352i	0.0226240	−	0.0991220i
$225$	2.70088	−	1.30068i	0.180059	−	0.0867117i
$226$	2.44292	−	10.7031i	0.162501	−	0.711962i
$227$	−5.03075	+	6.30836i	−0.333903	+	0.418701i	−0.920233	−	0.391372i	$-0.872001\pi$
$227$	−5.03075	+	6.30836i	−0.333903	+	0.418701i	0.586330	+	0.810072i	$0.300572\pi$
$228$	0.144797	+	0.0697306i	0.00958942	+	0.00461802i
$229$	4.61355	−	5.78521i	0.304872	−	0.382297i	−0.605669	−	0.795717i	$-0.707094\pi$
$229$	4.61355	−	5.78521i	0.304872	−	0.382297i	0.910541	+	0.413420i	$0.135666\pi$
$230$	−0.690016	−	3.02316i	−0.0454983	−	0.199341i
$231$	0.273476	−	0.131699i	0.0179934	−	0.00866517i
$232$	3.22843	−	1.55473i	0.211957	−	0.102073i
$233$	−11.4609	−	14.3715i	−0.750826	−	0.941506i	0.248808	−	0.968553i	$-0.419961\pi$
$233$	−11.4609	−	14.3715i	−0.750826	−	0.941506i	−0.999634	+	0.0270465i	$0.991390\pi$
$234$	−2.10324	−	9.21489i	−0.137493	−	0.602396i
$235$	−1.58871	+	6.96059i	−0.103636	+	0.454059i
$236$	0.404465	+	0.507183i	0.0263284	+	0.0330148i
$237$	0.0127105	+	0.0159384i	0.000825634	+	0.00103531i
$238$	−0.762867	+	3.34234i	−0.0494493	+	0.216652i
$239$	4.50109	+	19.7205i	0.291151	+	1.27562i	0.882926	+	0.469513i	$0.155570\pi$
$239$	4.50109	+	19.7205i	0.291151	+	1.27562i	−0.591775	+	0.806103i	$0.701572\pi$
$240$	−0.0295669	−	0.0370758i	−0.00190854	−	0.00239323i
$241$	19.6972	−	9.48568i	1.26881	−	0.611026i	0.326319	−	0.945260i	$-0.394192\pi$
$241$	19.6972	−	9.48568i	1.26881	−	0.611026i	0.942490	+	0.334233i	$0.108477\pi$
$242$	6.03094	−	2.90435i	0.387684	−	0.186699i
$243$	−0.284628	−	1.24704i	−0.0182589	−	0.0799974i
$244$	−6.51985	+	8.17564i	−0.417391	+	0.523392i
$245$	−4.22060	−	2.03253i	−0.269644	−	0.129854i
$246$	0.324456	−	0.406855i	0.0206866	−	0.0259401i
$247$	2.37775	−	10.4176i	0.151293	−	0.662856i
$248$	9.28613	−	4.47196i	0.589670	−	0.283970i
$249$	0.131905	−	0.577915i	0.00835916	−	0.0366239i
$250$	−0.900969	−	0.433884i	−0.0569823	−	0.0274412i
$251$	11.2044			0.707217			0.353608	−	0.935394i	$-0.384955\pi$
$251$	11.2044			0.707217			0.353608	+	0.935394i	$0.384955\pi$
$252$	−4.56160			−0.287354
$253$	11.7519	+	5.65943i	0.738837	+	0.355805i
$254$	3.59583	+	15.7543i	0.225622	+	0.988516i
$255$	0.0666136	+	0.0835308i	0.00417151	+	0.00523090i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	−9.16609			−0.571765			−0.285882	−	0.958265i	$-0.592287\pi$
$257$	−9.16609			−0.571765			−0.285882	+	0.958265i	$0.592287\pi$
$258$	−0.301563	+	0.0758867i	−0.0187745	+	0.00472450i
$259$	17.7750			1.10449
$260$	−1.96586	+	2.46510i	−0.121917	+	0.152879i
$261$	−6.69740	−	8.39827i	−0.414558	−	0.519840i
$262$	−1.53385	−	6.72023i	−0.0947615	−	0.415177i
$263$	21.9320	+	10.5619i	1.35239	+	0.651275i	0.962925	−	0.269769i	$-0.0869472\pi$
$263$	21.9320	+	10.5619i	1.35239	+	0.651275i	0.389460	+	0.921043i	$0.372662\pi$
$264$	0.199475			0.0122768
$265$	−9.62107			−0.591017
$266$	−4.64627	−	2.23753i	−0.284881	−	0.137192i
$267$	0.127409	−	0.558216i	0.00779731	−	0.0341623i
$268$	4.01883	−	1.93537i	0.245489	−	0.118221i
$269$	3.35603	−	14.7037i	0.204621	−	0.896503i	−0.763458	−	0.645858i	$-0.776500\pi$
$269$	3.35603	−	14.7037i	0.204621	−	0.896503i	0.968079	−	0.250646i	$-0.0806429\pi$
$270$	−0.177335	+	0.222371i	−0.0107923	+	0.0135331i
$271$	9.05248	+	4.35944i	0.549899	+	0.264817i	0.688136	−	0.725582i	$-0.258429\pi$
$271$	9.05248	+	4.35944i	0.549899	+	0.264817i	−0.138237	+	0.990399i	$0.544144\pi$
$272$	−1.40471	+	1.76145i	−0.0851729	+	0.106803i
$273$	−0.0506281	−	0.221816i	−0.00306415	−	0.0134249i
$274$	−1.50907	+	0.726731i	−0.0911664	+	0.0439034i
$275$	3.78984	−	1.82509i	0.228536	−	0.110057i
$276$	0.0916842	+	0.114968i	0.00551874	+	0.00692028i
$277$	−2.54868	−	11.1665i	−0.153135	−	0.670929i	−0.991963	−	0.126531i	$-0.959616\pi$
$277$	−2.54868	−	11.1665i	−0.153135	−	0.670929i	0.838828	−	0.544397i	$-0.183242\pi$
$278$	−1.14964	+	5.03689i	−0.0689507	+	0.302093i
$279$	−19.2641	−	24.1565i	−1.15331	−	1.44621i
$280$	0.948748	+	1.18969i	0.0566986	+	0.0710977i
$281$	−5.94150	+	26.0314i	−0.354440	+	1.55290i	0.412363	+	0.911020i	$0.364704\pi$
$281$	−5.94150	+	26.0314i	−0.354440	+	1.55290i	−0.766803	+	0.641883i	$0.778154\pi$
$282$	−0.0753393	−	0.330083i	−0.00448639	−	0.0196562i
$283$	1.11947	+	1.40377i	0.0665455	+	0.0834454i	0.813990	−	0.580879i	$-0.197291\pi$
$283$	1.11947	+	1.40377i	0.0665455	+	0.0834454i	−0.747445	+	0.664324i	$0.768719\pi$
$284$	13.1527	−	6.33400i	0.780468	−	0.375854i
$285$	−0.144797	+	0.0697306i	−0.00857704	+	0.00413048i
$286$	−2.95124	−	12.9302i	−0.174510	−	0.764580i
$287$	−10.4112	+	13.0552i	−0.614553	+	0.770625i
$288$	−2.70088	−	1.30068i	−0.159151	−	0.0766430i
$289$	−7.43455	+	9.32264i	−0.437327	+	0.548390i
$290$	−0.797355	+	3.49344i	−0.0468223	+	0.205142i
$291$	−0.787857	+	0.379412i	−0.0461850	+	0.0222415i
$292$	0.126106	−	0.552508i	0.00737981	−	0.0323331i
$293$	6.21493	+	2.99295i	0.363080	+	0.174850i	0.606525	−	0.795065i	$-0.292563\pi$
$293$	6.21493	+	2.99295i	0.363080	+	0.174850i	−0.243444	+	0.969915i	$0.578277\pi$
$294$	0.222147			0.0129559
$295$	−0.648711			−0.0377694
$296$	10.5244	+	5.06830i	0.611721	+	0.294589i
$297$	−0.266224	−	1.16640i	−0.0154479	−	0.0676816i
$298$	−8.39002	−	10.5208i	−0.486021	−	0.609451i
$299$	6.09593	−	7.64405i	0.352537	−	0.442067i
$300$	0.0474217			0.00273789
$301$	9.67660	−	2.43506i	0.557750	−	0.140355i
$302$	−6.00507			−0.345553
$303$	0.403517	−	0.505994i	0.0231814	−	0.0290686i
$304$	−2.11301	−	2.64964i	−0.121190	−	0.151967i
$305$	−2.32691	−	10.1949i	−0.133238	−	0.583756i
$306$	6.08502	+	2.93039i	0.347857	+	0.167519i
$307$	4.39809			0.251012			0.125506	−	0.992093i	$-0.459945\pi$
$307$	4.39809			0.251012			0.125506	+	0.992093i	$0.459945\pi$
$308$	−6.40078			−0.364718
$309$	−0.101019	−	0.0486482i	−0.00574677	−	0.00276750i
$310$	−2.29348	+	10.0484i	−0.130261	+	0.570711i
$311$	−8.67339	+	4.17688i	−0.491823	+	0.236849i	−0.663321	−	0.748335i	$-0.730854\pi$
$311$	−8.67339	+	4.17688i	−0.491823	+	0.236849i	0.171498	+	0.985184i	$0.445139\pi$
$312$	0.0332713	−	0.145771i	0.00188362	−	0.00825267i
$313$	−16.1170	+	20.2100i	−0.910984	+	1.14234i	0.0783867	+	0.996923i	$0.475023\pi$
$313$	−16.1170	+	20.2100i	−0.910984	+	1.14234i	−0.989371	+	0.145415i	$0.953548\pi$
$314$	4.13684	+	1.99220i	0.233455	+	0.112426i
$315$	2.84411	−	3.56640i	0.160248	−	0.200944i
$316$	−0.0956590	−	0.419110i	−0.00538124	−	0.0235768i
$317$	−6.90317	+	3.32439i	−0.387721	+	0.186716i	−0.617581	−	0.786507i	$-0.711887\pi$
$317$	−6.90317	+	3.32439i	−0.387721	+	0.186716i	0.229861	+	0.973224i	$0.426173\pi$
$318$	0.411065	−	0.197958i	0.0230514	−	0.0111009i
$319$	−9.39770	−	11.7843i	−0.526170	−	0.659796i
$320$	0.222521	+	0.974928i	0.0124393	+	0.0545001i
$321$	−0.141723	+	0.620930i	−0.00791022	+	0.0346569i
$322$	−2.94198	−	3.68912i	−0.163950	−	0.205587i
$323$	4.76057	+	5.96957i	0.264885	+	0.332156i
$324$	−1.99819	+	8.75462i	−0.111010	+	0.486368i
$325$	−0.701606	−	3.07394i	−0.0389181	−	0.170511i
$326$	−7.32292	−	9.18265i	−0.405579	−	0.508580i
$327$	0.375343	−	0.180756i	0.0207565	−	0.00999582i
$328$	−9.88688	+	4.76127i	−0.545911	+	0.262897i
$329$	2.41750	+	10.5917i	0.133281	+	0.583942i
$330$	−0.124371	+	0.155956i	−0.00684637	+	0.00858508i
$331$	−14.5605	−	7.01199i	−0.800320	−	0.385414i	−0.0114196	−	0.999935i	$-0.503635\pi$
$331$	−14.5605	−	7.01199i	−0.800320	−	0.385414i	−0.788901	+	0.614521i	$0.789349\pi$
$332$	−7.79370	+	9.77300i	−0.427735	+	0.536363i
$333$	7.79212	−	34.1395i	0.427006	−	1.87083i
$334$	13.1232	−	6.31980i	0.718070	−	0.345804i
$335$	−0.992569	+	4.34873i	−0.0542298	+	0.237596i
$336$	−0.0650142	−	0.0313092i	−0.00354682	−	0.00170806i
$337$	−8.16567			−0.444812			−0.222406	−	0.974954i	$-0.571391\pi$
$337$	−8.16567			−0.444812			−0.222406	+	0.974954i	$0.571391\pi$
$338$	3.05867			0.166370
$339$	−0.469057	−	0.225886i	−0.0254757	−	0.0122684i
$340$	−0.501334	−	2.19649i	−0.0271887	−	0.119121i
$341$	−27.0312	−	33.8961i	−1.46382	−	1.83557i
$342$	−6.33429	+	7.94295i	−0.342519	+	0.429506i
$343$	−17.7800			−0.960030
$344$	6.42375	+	1.31737i	0.346345	+	0.0710277i
$345$	−0.147050			−0.00791691
$346$	2.06995	−	2.59563i	0.111281	−	0.139542i
$347$	−8.06993	−	10.1194i	−0.433216	−	0.543236i	0.516525	−	0.856272i	$-0.327225\pi$
$347$	−8.06993	−	10.1194i	−0.433216	−	0.543236i	−0.949741	+	0.313036i	$0.898654\pi$
$348$	−0.0378119	−	0.165665i	−0.00202693	−	0.00888057i
$349$	2.42277	+	1.16674i	0.129688	+	0.0624543i	0.497602	−	0.867405i	$-0.334214\pi$
$349$	2.42277	+	1.16674i	0.129688	+	0.0624543i	−0.367915	+	0.929860i	$0.619928\pi$
$350$	−1.52167			−0.0813369
$351$	−0.896784			−0.0478668
$352$	−3.78984	−	1.82509i	−0.201999	−	0.0972777i
$353$	−7.50254	+	32.8708i	−0.399320	+	1.74953i	0.230766	+	0.973009i	$0.425877\pi$
$353$	−7.50254	+	32.8708i	−0.399320	+	1.74953i	−0.630086	+	0.776525i	$0.716980\pi$
$354$	0.0277165	−	0.0133476i	0.00147311	−	0.000709414i
$355$	−3.24844	+	14.2324i	−0.172409	+	0.755375i
$356$	−7.52804	+	9.43987i	−0.398985	+	0.500312i
$357$	0.146475	+	0.0705389i	0.00775230	+	0.00373331i
$358$	−8.47165	+	10.6231i	−0.447741	+	0.561449i
$359$	−5.55593	−	24.3421i	−0.293231	−	1.28473i	−0.880000	−	0.474974i	$-0.842457\pi$
$359$	−5.55593	−	24.3421i	−0.293231	−	1.28473i	0.586769	−	0.809755i	$-0.300400\pi$
$360$	2.70088	−	1.30068i	0.142349	−	0.0685516i
$361$	6.77042	−	3.26046i	0.356338	−	0.171603i
$362$	−8.80056	−	11.0355i	−0.462547	−	0.580016i
$363$	−0.0706356	−	0.309475i	−0.00370741	−	0.0162432i
$364$	−1.06762	+	4.67753i	−0.0559582	+	0.245169i
$365$	0.353342	+	0.443077i	0.0184948	+	0.0231917i
$366$	0.309183	+	0.387703i	0.0161612	+	0.0202655i
$367$	−1.75026	+	7.66840i	−0.0913630	+	0.400287i	−0.999844	−	0.0176378i	$-0.994385\pi$
$367$	−1.75026	+	7.66840i	−0.0913630	+	0.400287i	0.908481	+	0.417925i	$0.137243\pi$
$368$	−0.690016	−	3.02316i	−0.0359696	−	0.157593i
$369$	20.5104	+	25.7192i	1.06773	+	1.33889i
$370$	−10.5244	+	5.06830i	−0.547140	+	0.263489i
$371$	−13.1903	+	6.35211i	−0.684806	+	0.329785i
$372$	−0.108761	−	0.476513i	−0.00563899	−	0.0247060i
$373$	−0.0621353	+	0.0779153i	−0.00321725	+	0.00403430i	−0.783438	−	0.621471i	$-0.786536\pi$
$373$	−0.0621353	+	0.0779153i	−0.00321725	+	0.00403430i	0.780220	+	0.625505i	$0.215107\pi$
$374$	8.53842	+	4.11189i	0.441511	+	0.212621i
$375$	−0.0295669	+	0.0370758i	−0.00152683	+	0.00191458i
$376$	−1.58871	+	6.96059i	−0.0819314	+	0.358965i
$377$	−10.1792	+	4.90204i	−0.524255	+	0.252468i
$378$	−0.0963070	+	0.421949i	−0.00495350	+	0.0217027i
$379$	34.4129	+	16.5724i	1.76767	+	0.851267i	0.968047	+	0.250770i	$0.0806839\pi$
$379$	34.4129	+	16.5724i	1.76767	+	0.851267i	0.799627	+	0.600497i	$0.205030\pi$
$380$	3.38901			0.173853
$381$	0.766311			0.0392593
$382$	−13.2288	−	6.37067i	−0.676845	−	0.325952i
$383$	−2.29489	−	10.0546i	−0.117264	−	0.513765i	−0.999108	−	0.0422249i	$-0.986555\pi$
$383$	−2.29489	−	10.0546i	−0.117264	−	0.513765i	0.881845	−	0.471540i	$-0.156302\pi$
$384$	−0.0295669	−	0.0370758i	−0.00150883	−	0.00189201i
$385$	3.99082	−	5.00433i	0.203391	−	0.255044i
$386$	−3.69421			−0.188030
$387$	−0.434913	−	19.6528i	−0.0221079	−	0.999006i
$388$	18.4400			0.936149
$389$	−4.51221	+	5.65813i	−0.228778	+	0.286879i	−0.882950	−	0.469467i	$-0.844446\pi$
$389$	−4.51221	+	5.65813i	−0.228778	+	0.286879i	0.654172	+	0.756346i	$0.273017\pi$
$390$	0.0932242	+	0.116899i	0.00472059	+	0.00591943i
$391$	1.55459	+	6.81110i	0.0786190	+	0.344452i
$392$	−4.22060	−	2.03253i	−0.213172	−	0.102658i
$393$	−0.326880			−0.0164889
$394$	−6.53153			−0.329054
$395$	0.387316	+	0.186521i	0.0194880	+	0.00938491i
$396$	−2.80593	+	12.2936i	−0.141004	+	0.617777i
$397$	−0.482301	+	0.232264i	−0.0242060	+	0.0116570i	−0.445948	−	0.895059i	$-0.647133\pi$
$397$	−0.482301	+	0.232264i	−0.0242060	+	0.0116570i	0.421742	+	0.906716i	$0.361419\pi$
$398$	0.251231	−	1.10072i	0.0125931	−	0.0551739i
$399$	−0.152476	+	0.191199i	−0.00763334	+	0.00957191i
$400$	−0.900969	−	0.433884i	−0.0450484	−	0.0216942i
$401$	7.51342	−	9.42153i	0.375202	−	0.470489i	−0.558000	−	0.829841i	$-0.688431\pi$
$401$	7.51342	−	9.42153i	0.375202	−	0.470489i	0.933202	+	0.359352i	$0.117002\pi$
$402$	−0.0470693	−	0.206224i	−0.00234760	−	0.0102855i
$403$	−29.2790	+	14.1000i	−1.45849	+	0.702373i
$404$	−12.2960	+	5.92146i	−0.611751	+	0.294604i
$405$	−5.59879	−	7.02066i	−0.278206	−	0.348860i
$406$	1.21331	+	5.31588i	0.0602158	+	0.263823i
$407$	10.9338	−	47.9041i	0.541968	−	2.37452i
$408$	0.0666136	+	0.0835308i	0.00329786	+	0.00413539i
$409$	−0.672878	−	0.843762i	−0.0332717	−	0.0417214i	0.764917	−	0.644129i	$-0.222780\pi$
$409$	−0.672878	−	0.843762i	−0.0332717	−	0.0417214i	−0.798189	+	0.602407i	$0.794208\pi$
$410$	2.44186	−	10.6985i	0.120595	−	0.528360i
$411$	0.0176745	+	0.0774372i	0.000871820	+	0.00381970i
$412$	1.47416	+	1.84854i	0.0726268	+	0.0910712i
$413$	−0.889370	+	0.428298i	−0.0437631	+	0.0210752i
$414$	−8.37517	+	4.03327i	−0.411617	+	0.198224i
$415$	−2.78154	−	12.1867i	−0.136540	−	0.598223i
$416$	−1.96586	+	2.46510i	−0.0963840	+	0.120862i
$417$	0.220738	+	0.106302i	0.0108096	+	0.00520562i
$418$	−8.88819	+	11.1454i	−0.434736	+	0.545141i
$419$	4.90067	−	21.4712i	0.239413	−	1.04894i	−0.702131	−	0.712048i	$-0.747768\pi$
$419$	4.90067	−	21.4712i	0.239413	−	1.04894i	0.941544	−	0.336890i	$-0.109375\pi$
$420$	0.0650142	−	0.0313092i	0.00317237	−	0.00152773i
$421$	6.44467	−	28.2359i	0.314094	−	1.37614i	−0.533639	−	0.845712i	$-0.679176\pi$
$421$	6.44467	−	28.2359i	0.314094	−	1.37614i	0.847733	−	0.530423i	$-0.177967\pi$
$422$	−11.9834	−	5.77089i	−0.583341	−	0.280922i
$423$	21.4027			1.04064
$424$	−9.62107			−0.467240
$425$	2.02986	+	0.977530i	0.0984627	+	0.0474171i
$426$	−0.154047	−	0.674923i	−0.00746359	−	0.0327001i
$427$	−9.92109	−	12.4407i	−0.480115	−	0.602046i
$428$	8.37380	−	10.5004i	0.404763	−	0.507557i
$429$	−0.628942			−0.0303656
$430$	−5.03510	+	4.20092i	−0.242814	+	0.202587i
$431$	5.65331			0.272311			0.136155	−	0.990688i	$-0.456525\pi$
$431$	5.65331			0.272311			0.136155	+	0.990688i	$0.456525\pi$
$432$	−0.177335	+	0.222371i	−0.00853204	+	0.0106988i
$433$	18.9615	+	23.7770i	0.911233	+	1.14265i	0.989328	+	0.145705i	$0.0465449\pi$
$433$	18.9615	+	23.7770i	0.911233	+	1.14265i	−0.0780948	+	0.996946i	$0.524884\pi$
$434$	3.48994	+	15.2904i	0.167522	+	0.733963i
$435$	0.153097	+	0.0737278i	0.00734046	+	0.00353498i
$436$	−8.78501			−0.420726
$437$	−10.5090			−0.502714
$438$	−0.0242132	−	0.0116605i	−0.00115695	−	0.000557159i
$439$	−4.62639	+	20.2695i	−0.220805	+	0.967411i	0.736068	+	0.676907i	$0.236680\pi$
$439$	−4.62639	+	20.2695i	−0.220805	+	0.967411i	−0.956874	+	0.290504i	$0.906177\pi$
$440$	3.78984	−	1.82509i	0.180674	−	0.0870078i
$441$	−3.12486	+	13.6909i	−0.148803	+	0.651948i
$442$	4.42902	−	5.55382i	0.210667	−	0.264168i
$443$	−12.5763	−	6.05643i	−0.597518	−	0.287750i	0.110576	−	0.993868i	$-0.464730\pi$
$443$	−12.5763	−	6.05643i	−0.597518	−	0.287750i	−0.708094	+	0.706118i	$0.750445\pi$
$444$	0.345379	−	0.433091i	0.0163909	−	0.0205536i
$445$	−2.68673	−	11.7713i	−0.127363	−	0.558014i
$446$	14.3748	−	6.92254i	0.680666	−	0.327792i
$447$	−0.574937	+	0.276875i	−0.0271936	+	0.0130958i
$448$	0.948748	+	1.18969i	0.0448241	+	0.0562077i
$449$	2.67090	+	11.7020i	0.126048	+	0.552251i	0.998031	+	0.0627159i	$0.0199762\pi$
$449$	2.67090	+	11.7020i	0.126048	+	0.552251i	−0.871984	+	0.489535i	$0.837167\pi$
$450$	−0.667062	+	2.92259i	−0.0314456	+	0.137772i
$451$	28.7799	+	36.0889i	1.35519	+	1.69936i
$452$	6.84492	+	8.58325i	0.321958	+	0.403722i
$453$	−0.0633674	+	0.277631i	−0.00297726	+	0.0130442i
$454$	−1.79545	−	7.86640i	−0.0842648	−	0.369188i
$455$	−2.99139	−	3.75109i	−0.140239	−	0.175854i
$456$	−0.144797	+	0.0697306i	−0.00678075	+	0.00326544i
$457$	−17.7911	+	8.56773i	−0.832232	+	0.400782i	−0.800952	−	0.598729i	$-0.795673\pi$
$457$	−17.7911	+	8.56773i	−0.832232	+	0.400782i	−0.0312801	+	0.999511i	$0.509958\pi$
$458$	1.64656	+	7.21403i	0.0769385	+	0.337090i
$459$	0.399532	−	0.500997i	0.0186485	−	0.0233845i
$460$	2.79382	+	1.34543i	0.130262	+	0.0627311i
$461$	7.12381	−	8.93297i	0.331789	−	0.416050i	−0.587754	−	0.809040i	$-0.699988\pi$
$461$	7.12381	−	8.93297i	0.331789	−	0.416050i	0.919543	+	0.392990i	$0.128559\pi$
$462$	−0.0675430	+	0.295925i	−0.00314239	+	0.0137677i
$463$	30.5810	−	14.7270i	1.42122	−	0.684423i	0.443877	−	0.896088i	$-0.353603\pi$
$463$	30.5810	−	14.7270i	1.42122	−	0.684423i	0.977342	+	0.211664i	$0.0678884\pi$
$464$	−0.797355	+	3.49344i	−0.0370163	+	0.162179i
$465$	0.440364	+	0.212068i	0.0204214	+	0.00983442i
$466$	18.3818			0.851520
$467$	−39.3374			−1.82032			−0.910159	−	0.414260i	$-0.864041\pi$
$467$	−39.3374			−1.82032			−0.910159	+	0.414260i	$0.864041\pi$
$468$	8.51584	+	4.10101i	0.393645	+	0.189569i
$469$	1.51037	+	6.61735i	0.0697422	+	0.305561i
$470$	−4.45146	−	5.58196i	−0.205331	−	0.257477i
$471$	0.135758	−	0.170235i	0.00625539	−	0.00784401i
$472$	−0.648711			−0.0298593
$473$	−0.610264	−	27.5765i	−0.0280600	−	1.26797i
$474$	−0.0203860			−0.000936360
$475$	−2.11301	+	2.64964i	−0.0969518	+	0.121574i
$476$	−2.13751	−	2.68035i	−0.0979725	−	0.122854i
$477$	6.41785	+	28.1184i	0.293853	+	1.28746i
$478$	−18.2245	−	8.77647i	−0.833570	−	0.401426i
$479$	5.34473			0.244207			0.122103	−	0.992517i	$-0.461036\pi$
$479$	5.34473			0.244207			0.122103	+	0.992517i	$0.461036\pi$
$480$	0.0474217			0.00216449
$481$	−33.1834	−	15.9803i	−1.51303	−	0.728639i
$482$	−4.86481	+	21.3141i	−0.221586	+	0.970832i
$483$	−0.201603	+	0.0970868i	−0.00917325	+	0.00441760i
$484$	−1.48952	+	6.52601i	−0.0677055	+	0.296637i
$485$	−11.4971	+	14.4170i	−0.522059	+	0.654641i
$486$	1.15243	+	0.554983i	0.0522755	+	0.0251746i
$487$	−19.0128	+	23.8413i	−0.861553	+	1.08035i	0.134440	+	0.990922i	$0.457076\pi$
$487$	−19.0128	+	23.8413i	−0.861553	+	1.08035i	−0.995993	+	0.0894313i	$0.971495\pi$
$488$	−2.32691	−	10.1949i	−0.105334	−	0.461499i
$489$	−0.501813	+	0.241660i	−0.0226927	+	0.0109283i
$490$	4.22060	−	2.03253i	0.190667	−	0.0918204i
$491$	−10.8994	−	13.6674i	−0.491882	−	0.616800i	0.472495	−	0.881333i	$-0.343353\pi$
$491$	−10.8994	−	13.6674i	−0.491882	−	0.616800i	−0.964377	+	0.264533i	$0.914782\pi$
$492$	0.115797	+	0.507340i	0.00522053	+	0.0228726i
$493$	1.79642	−	7.87064i	0.0809068	−	0.354476i
$494$	6.66231	+	8.35427i	0.299751	+	0.375876i
$495$	−7.86205	−	9.85870i	−0.353373	−	0.443116i
$496$	−2.29348	+	10.0484i	−0.102980	+	0.451187i
$497$	4.94307	+	21.6570i	0.221727	+	0.971450i
$498$	0.369591	+	0.463452i	0.0165618	+	0.0207678i
$499$	9.30510	−	4.48110i	0.416553	−	0.200602i	−0.213855	−	0.976865i	$-0.568602\pi$
$499$	9.30510	−	4.48110i	0.416553	−	0.200602i	0.630408	+	0.776264i	$0.282888\pi$
$500$	0.900969	−	0.433884i	0.0402926	−	0.0194039i
$501$	−0.153701	−	0.673410i	−0.00686687	−	0.0300857i
$502$	−6.98584	+	8.75997i	−0.311793	+	0.390977i
$503$	26.8169	+	12.9143i	1.19571	+	0.575822i	0.922449	−	0.386118i	$-0.126184\pi$
$503$	26.8169	+	12.9143i	1.19571	+	0.575822i	0.273258	+	0.961941i	$0.411899\pi$
$504$	2.84411	−	3.56640i	0.126687	−	0.158860i
$505$	3.03687	−	13.3054i	0.135139	−	0.592083i
$506$	−11.7519	+	5.65943i	−0.522437	+	0.251592i
$507$	0.0322761	−	0.141411i	0.00143343	−	0.00628027i
$508$	−14.5592	−	7.01134i	−0.645960	−	0.311078i
$509$	13.5778			0.601826			0.300913	−	0.953652i	$-0.402709\pi$
$509$	13.5778			0.601826			0.300913	+	0.953652i	$0.402709\pi$
$510$	−0.106840			−0.00473095
$511$	0.776957	+	0.374163i	0.0343706	+	0.0165520i
$512$	0.222521	+	0.974928i	0.00983413	+	0.0430861i
$513$	0.600991	+	0.753619i	0.0265344	+	0.0332731i
$514$	5.71496	−	7.16634i	0.252076	−	0.316094i
$515$	−2.36437			−0.104187
$516$	0.128691	−	0.283086i	0.00566530	−	0.0124622i
$517$	30.0320			1.32081
$518$	−11.0826	+	13.8971i	−0.486940	+	0.610603i
$519$	−0.0981605	−	0.123089i	−0.00430877	−	0.00540302i
$520$	−0.701606	−	3.07394i	−0.0307674	−	0.134801i
$521$	31.2358	+	15.0424i	1.36847	+	0.659018i	0.966507	−	0.256640i	$-0.0826154\pi$
$521$	31.2358	+	15.0424i	1.36847	+	0.659018i	0.401958	+	0.915658i	$0.368330\pi$
$522$	10.7418			0.470155
$523$	−4.06738			−0.177854			−0.0889270	−	0.996038i	$-0.528344\pi$
$523$	−4.06738			−0.177854			−0.0889270	+	0.996038i	$0.528344\pi$
$524$	6.21043	+	2.99078i	0.271304	+	0.130653i
$525$	−0.0160572	+	0.0703511i	−0.000700793	+	0.00307038i
$526$	−21.9320	+	10.5619i	−0.956281	+	0.460521i
$527$	5.16716	−	22.6388i	0.225085	−	0.986163i
$528$	−0.124371	+	0.155956i	−0.00541253	+	0.00678710i
$529$	12.0589	+	5.80727i	0.524301	+	0.252490i
$530$	5.99864	−	7.52205i	0.260564	−	0.326737i
$531$	0.432731	+	1.89592i	0.0187789	+	0.0822758i
$532$	4.64627	−	2.23753i	0.201441	−	0.0970091i
$533$	31.1732	−	15.0122i	1.35026	−	0.650251i
$534$	0.356992	+	0.447654i	0.0154486	+	0.0193719i
$535$	2.98857	+	13.0938i	0.129207	+	0.566094i
$536$	−0.992569	+	4.34873i	−0.0428725	+	0.187836i
$537$	0.401740	+	0.503766i	0.0173364	+	0.0217391i
$538$	9.40340	+	11.7915i	0.405409	+	0.508367i
$539$	−4.38476	+	19.2109i	−0.188865	+	0.827472i
$540$	−0.0632902	−	0.277292i	−0.00272358	−	0.0119328i
$541$	−15.3945	−	19.3041i	−0.661861	−	0.829947i	0.331684	−	0.943391i	$-0.392383\pi$
$541$	−15.3945	−	19.3041i	−0.661861	−	0.829947i	−0.993544	+	0.113443i	$0.963812\pi$
$542$	−9.05248	+	4.35944i	−0.388837	+	0.187254i
$543$	−0.603070	+	0.290423i	−0.0258802	+	0.0124632i
$544$	−0.501334	−	2.19649i	−0.0214945	−	0.0941737i
$545$	5.47736	−	6.86839i	0.234624	−	0.294210i
$546$	0.204989	+	0.0987175i	0.00877272	+	0.00422472i
$547$	−11.9290	+	14.9584i	−0.510046	+	0.639577i	−0.968462	−	0.249160i	$-0.919845\pi$
$547$	−11.9290	+	14.9584i	−0.510046	+	0.639577i	0.458417	+	0.888737i	$0.348417\pi$
$548$	0.372710	−	1.63295i	0.0159214	−	0.0697561i
$549$	−28.2432	+	13.6012i	−1.20539	+	0.580485i
$550$	−0.936013	+	4.10094i	−0.0399117	+	0.174865i
$551$	10.9412	+	5.26899i	0.466110	+	0.224467i
$552$	−0.147050			−0.00625887
$553$	0.654149			0.0278173
$554$	10.3194	+	4.96955i	0.438428	+	0.211136i
$555$	0.123264	+	0.540056i	0.00523227	+	0.0229241i
$556$	−3.22121	−	4.03927i	−0.136610	−	0.171303i
$557$	9.42805	−	11.8224i	0.399479	−	0.500931i	−0.540887	−	0.841095i	$-0.681911\pi$
$557$	9.42805	−	11.8224i	0.399479	−	0.500931i	0.940366	+	0.340164i	$0.110483\pi$
$558$	30.8973			1.30799
$559$	−20.2540	−	4.15364i	−0.856653	−	0.175680i
$560$	−1.52167			−0.0643025
$561$	0.280204	−	0.351364i	0.0118302	−	0.0148346i
$562$	−16.6477	−	20.8756i	−0.702241	−	0.880582i
$563$	−7.27433	−	31.8709i	−0.306576	−	1.34320i	−0.859998	−	0.510298i	$-0.829535\pi$
$563$	−7.27433	−	31.8709i	−0.306576	−	1.34320i	0.553421	−	0.832901i	$-0.313322\pi$
$564$	0.305042	+	0.146901i	0.0128446	+	0.00618564i
$565$	−10.9784			−0.461864
$566$	−1.79549			−0.0754700
$567$	−12.3111	−	5.92871i	−0.517017	−	0.248982i
$568$	−3.24844	+	14.2324i	−0.136302	+	0.597177i
$569$	17.4202	−	8.38914i	0.730294	−	0.351691i	−0.0315059	−	0.999504i	$-0.510030\pi$
$569$	17.4202	−	8.38914i	0.730294	−	0.351691i	0.761800	+	0.647813i	$0.224316\pi$
$570$	0.0357619	−	0.156683i	0.00149790	−	0.00656274i
$571$	−2.10230	+	2.63620i	−0.0879785	+	0.110321i	−0.823872	−	0.566775i	$-0.808191\pi$
$571$	−2.10230	+	2.63620i	−0.0879785	+	0.110321i	0.735894	+	0.677097i	$0.236762\pi$
$572$	11.9493	+	5.75449i	0.499626	+	0.240607i
$573$	−0.434128	+	0.544379i	−0.0181360	+	0.0227418i
$574$	−3.71571	−	16.2796i	−0.155091	−	0.679497i
$575$	−2.79382	+	1.34543i	−0.116510	+	0.0561084i
$576$	2.70088	−	1.30068i	0.112537	−	0.0541948i
$577$	15.0765	+	18.9054i	0.627645	+	0.787042i	0.989398	−	0.145232i	$-0.0463930\pi$
$577$	15.0765	+	18.9054i	0.627645	+	0.787042i	−0.361753	+	0.932274i	$0.617822\pi$
$578$	−2.65336	−	11.6251i	−0.110365	−	0.483542i
$579$	−0.0389824	+	0.170793i	−0.00162005	+	0.00709792i
$580$	−2.23414	−	2.80152i	−0.0927676	−	0.116327i
$581$	−11.8595	−	14.8713i	−0.492014	−	0.616966i
$582$	0.194585	−	0.852531i	0.00806579	−	0.0353386i
$583$	9.00545	+	39.4554i	0.372967	+	1.63408i
$584$	0.353342	+	0.443077i	0.0146214	+	0.0183346i
$585$	−8.51584	+	4.10101i	−0.352087	+	0.169556i
$586$	−6.21493	+	2.99295i	−0.256737	+	0.123638i
$587$	1.94732	+	8.53178i	0.0803746	+	0.352144i	0.999084	−	0.0427898i	$-0.0136246\pi$
$587$	1.94732	+	8.53178i	0.0803746	+	0.352144i	−0.918709	+	0.394934i	$0.870767\pi$
$588$	−0.138507	+	0.173682i	−0.00571191	+	0.00716251i
$589$	31.4708	+	15.1555i	1.29673	+	0.624473i
$590$	0.404465	−	0.507183i	0.0166515	−	0.0208804i
$591$	−0.0689228	+	0.301971i	−0.00283511	+	0.0124214i
$592$	−10.5244	+	5.06830i	−0.432552	+	0.208306i
$593$	4.28334	−	18.7666i	0.175896	−	0.770650i	−0.807602	−	0.589728i	$-0.799235\pi$
$593$	4.28334	−	18.7666i	0.175896	−	0.770650i	0.983498	−	0.180922i	$-0.0579080\pi$
$594$	1.07792	+	0.519099i	0.0442276	+	0.0212989i
$595$	3.42829			0.140546
$596$	13.4566			0.551202
$597$	−0.0482381	−	0.0232302i	−0.00197425	−	0.000950750i
$598$	2.17561	+	9.53198i	0.0889674	+	0.389791i
$599$	−19.6343	−	24.6206i	−0.802234	−	1.00597i	−0.999671	−	0.0256538i	$-0.991833\pi$
$599$	−19.6343	−	24.6206i	−0.802234	−	1.00597i	0.197437	−	0.980316i	$-0.436738\pi$
$600$	−0.0295669	+	0.0370758i	−0.00120707	+	0.00151361i
$601$	−5.22713			−0.213219			−0.106609	−	0.994301i	$-0.533999\pi$
$601$	−5.22713			−0.213219			−0.106609	+	0.994301i	$0.533999\pi$
$602$	−4.12945	+	9.08371i	−0.168304	+	0.370224i
$603$	13.3717			0.544536
$604$	3.74410	−	4.69495i	0.152345	−	0.191035i
$605$	−4.17354	−	5.23346i	−0.169679	−	0.212770i
$606$	0.144014	+	0.630965i	0.00585015	+	0.0256312i
$607$	−36.9963	−	17.8165i	−1.50163	−	0.723148i	−0.510984	−	0.859590i	$-0.670719\pi$
$607$	−36.9963	−	17.8165i	−1.50163	−	0.723148i	−0.990648	+	0.136443i	$0.956433\pi$
$608$	3.38901			0.137443
$609$	0.258571			0.0104778
$610$	9.42146	+	4.53714i	0.381464	+	0.183703i
$611$	5.00918	−	21.9467i	0.202650	−	0.887866i
$612$	−6.08502	+	2.93039i	−0.245972	+	0.118454i
$613$	7.91730	−	34.6880i	0.319777	−	1.40103i	−0.518168	−	0.855279i	$-0.673386\pi$
$613$	7.91730	−	34.6880i	0.319777	−	1.40103i	0.837945	−	0.545755i	$-0.183757\pi$
$614$	−2.74216	+	3.43856i	−0.110665	+	0.138769i
$615$	−0.468852	−	0.225787i	−0.0189060	−	0.00910463i
$616$	3.99082	−	5.00433i	0.160795	−	0.201630i
$617$	0.872933	+	3.82457i	0.0351430	+	0.153971i	0.989455	−	0.144840i	$-0.0462669\pi$
$617$	0.872933	+	3.82457i	0.0351430	+	0.153971i	−0.954312	+	0.298812i	$0.903410\pi$
$618$	0.101019	−	0.0486482i	0.00406358	−	0.00195692i
$619$	17.4187	−	8.38841i	0.700117	−	0.337159i	−0.0497364	−	0.998762i	$-0.515838\pi$
$619$	17.4187	−	8.38841i	0.700117	−	0.337159i	0.749854	+	0.661604i	$0.230124\pi$
$620$	−6.42620	−	8.05820i	−0.258082	−	0.323625i
$621$	0.196257	+	0.859857i	0.00787551	+	0.0345049i
$622$	2.14215	−	9.38537i	0.0858924	−	0.376319i
$623$	−11.4552	−	14.3644i	−0.458944	−	0.575497i
$624$	0.0932242	+	0.116899i	0.00373195	+	0.00467972i
$625$	−0.222521	+	0.974928i	−0.00890084	+	0.0389971i
$626$	−5.75207	−	25.2015i	−0.229899	−	1.00725i
$627$	0.421493	+	0.528536i	0.0168328	+	0.0211077i
$628$	−4.13684	+	1.99220i	−0.165078	+	0.0794972i
$629$	23.7113	−	11.4188i	0.945432	−	0.455296i
$630$	1.01505	+	4.44723i	0.0404406	+	0.177182i
$631$	26.6598	−	33.4304i	1.06131	−	1.33084i	0.120198	−	0.992750i	$-0.461647\pi$
$631$	26.6598	−	33.4304i	1.06131	−	1.33084i	0.941113	−	0.338092i	$-0.109781\pi$
$632$	0.387316	+	0.186521i	0.0154066	+	0.00741942i
$633$	−0.393256	+	0.493128i	−0.0156305	+	0.0196001i
$634$	1.70494	−	7.46984i	0.0677119	−	0.296665i
$635$	14.5592	−	7.01134i	0.577764	−	0.278237i
$636$	−0.101525	+	0.444808i	−0.00402571	+	0.0176378i
$637$	13.3075	+	6.40855i	0.527262	+	0.253916i
$638$	15.0727			0.596735
$639$	43.7623			1.73121
$640$	−0.900969	−	0.433884i	−0.0356139	−	0.0171508i
$641$	6.83480	+	29.9452i	0.269959	+	1.18277i	0.910060	+	0.414476i	$0.136035\pi$
$641$	6.83480	+	29.9452i	0.269959	+	1.18277i	−0.640102	+	0.768290i	$0.721108\pi$
$642$	−0.397100	−	0.497947i	−0.0156723	−	0.0196524i
$643$	−16.0627	+	20.1419i	−0.633450	+	0.794321i	−0.990167	−	0.139892i	$-0.955325\pi$
$643$	−16.0627	+	20.1419i	−0.633450	+	0.794321i	0.356717	+	0.934212i	$0.383896\pi$
$644$	4.71856			0.185937
$645$	0.141088	+	0.277116i	0.00555534	+	0.0109114i
$646$	−7.63536			−0.300409
$647$	3.22680	−	4.04628i	0.126859	−	0.159076i	−0.714346	−	0.699793i	$-0.753276\pi$
$647$	3.22680	−	4.04628i	0.126859	−	0.159076i	0.841204	+	0.540717i	$0.181847\pi$
$648$	−5.59879	−	7.02066i	−0.219941	−	0.275798i
$649$	0.607202	+	2.66033i	0.0238348	+	0.104427i
$650$	2.84074	+	1.36803i	0.111423	+	0.0536585i
$651$	0.743744			0.0291496
$652$	11.7450			0.459972
$653$	−8.72068	−	4.19966i	−0.341267	−	0.164345i	0.255398	−	0.966836i	$-0.417793\pi$
$653$	−8.72068	−	4.19966i	−0.341267	−	0.164345i	−0.596665	+	0.802491i	$0.703508\pi$
$654$	−0.0927022	+	0.406155i	−0.00362494	+	0.0158819i
$655$	−6.21043	+	2.99078i	−0.242661	+	0.116860i
$656$	2.44186	−	10.6985i	0.0953385	−	0.417705i
$657$	1.05923	−	1.32823i	0.0413245	−	0.0518193i
$658$	−9.78825	−	4.71377i	−0.381586	−	0.183762i
$659$	−9.08194	+	11.3884i	−0.353782	+	0.443629i	−0.926597	−	0.376056i	$-0.877280\pi$
$659$	−9.08194	+	11.3884i	−0.353782	+	0.443629i	0.572815	+	0.819685i	$0.305851\pi$
$660$	−0.0443873	−	0.194474i	−0.00172777	−	0.00756987i
$661$	26.7107	−	12.8632i	1.03892	−	0.500319i	0.164955	−	0.986301i	$-0.447252\pi$
$661$	26.7107	−	12.8632i	1.03892	−	0.500319i	0.873969	+	0.485982i	$0.161538\pi$
$662$	14.5605	−	7.01199i	0.565912	−	0.272529i
$663$	−0.210032	−	0.263372i	−0.00815696	−	0.0102285i
$664$	−2.78154	−	12.1867i	−0.107945	−	0.472937i
$665$	−1.14753	+	5.02768i	−0.0444995	+	0.194965i
$666$	21.8330	+	27.3778i	0.846013	+	1.06087i
$667$	6.92785	+	8.68725i	0.268248	+	0.336372i
$668$	−3.24116	+	14.2005i	−0.125404	+	0.549432i
$669$	−0.168360	−	0.737635i	−0.00650919	−	0.0285186i
$670$	−2.78112	−	3.48741i	−0.107444	−	0.134730i
$671$	−39.6305	+	19.0850i	−1.52992	+	0.736770i
$672$	0.0650142	−	0.0313092i	0.00250798	−	0.00120778i
$673$	4.50804	+	19.7510i	0.173772	+	0.761346i	0.984423	+	0.175816i	$0.0562565\pi$
$673$	4.50804	+	19.7510i	0.173772	+	0.761346i	−0.810651	+	0.585530i	$0.800886\pi$
$674$	5.09121	−	6.38418i	0.196106	−	0.245909i
$675$	0.256257	+	0.123407i	0.00986332	+	0.00474993i
$676$	−1.90705	+	2.39137i	−0.0733481	+	0.0919756i
$677$	6.54719	−	28.6851i	0.251629	−	1.10246i	−0.678319	−	0.734768i	$-0.737291\pi$
$677$	6.54719	−	28.6851i	0.251629	−	1.10246i	0.929948	−	0.367691i	$-0.119852\pi$
$678$	0.469057	−	0.225886i	0.0180140	−	0.00867510i
$679$	−6.24386	+	27.3561i	−0.239617	+	1.04983i
$680$	2.02986	+	0.977530i	0.0778416	+	0.0374865i
$681$	−0.382631			−0.0146625
$682$	43.3547			1.66014
$683$	1.57780	+	0.759830i	0.0603729	+	0.0290741i	0.463827	−	0.885926i	$-0.346476\pi$
$683$	1.57780	+	0.759830i	0.0603729	+	0.0290741i	−0.403454	+	0.915000i	$0.632190\pi$
$684$	−2.26068	−	9.90470i	−0.0864394	−	0.378716i
$685$	1.04431	+	1.30952i	0.0399010	+	0.0500343i
$686$	11.0857	−	13.9010i	0.423252	−	0.530742i
$687$	0.350899			0.0133876
$688$	−5.03510	+	4.20092i	−0.191961	+	0.160159i
$689$	30.3351			1.15568
$690$	0.0916842	−	0.114968i	0.00349036	−	0.00437677i
$691$	−2.17752	−	2.73053i	−0.0828369	−	0.103874i	0.738686	−	0.674050i	$-0.235447\pi$
$691$	−2.17752	−	2.73053i	−0.0828369	−	0.103874i	−0.821523	+	0.570175i	$0.806875\pi$
$692$	0.738756	+	3.23670i	0.0280833	+	0.123041i
$693$	−17.2877	−	8.32533i	−0.656707	−	0.316253i
$694$	12.9432			0.491316
$695$	5.16643			0.195974
$696$	0.153097	+	0.0737278i	0.00580314	+	0.00279465i
$697$	−5.50144	+	24.1034i	−0.208382	+	0.912981i
$698$	−2.42277	+	1.16674i	−0.0917030	+	0.0441619i
$699$	0.193971	−	0.849841i	0.00733664	−	0.0321439i
$700$	0.948748	−	1.18969i	0.0358593	−	0.0449662i
$701$	−22.2133	−	10.6974i	−0.838985	−	0.404034i	−0.0355081	−	0.999369i	$-0.511305\pi$
$701$	−22.2133	−	10.6974i	−0.838985	−	0.404034i	−0.803477	+	0.595335i	$0.797019\pi$
$702$	0.559135	−	0.701134i	0.0211032	−	0.0264626i
$703$	8.80913	+	38.5953i	0.332243	+	1.45565i
$704$	3.78984	−	1.82509i	0.142835	−	0.0687857i
$705$	−0.305042	+	0.146901i	−0.0114886	+	0.00553260i
$706$	−21.0216	−	26.3603i	−0.791160	−	0.992083i
$707$	−4.62113	−	20.2465i	−0.173795	−	0.761447i
$708$	−0.00684541	+	0.0299917i	−0.000257266	+	0.00112716i
$709$	−5.70336	−	7.15179i	−0.214194	−	0.268591i	0.663114	−	0.748518i	$-0.269234\pi$
$709$	−5.70336	−	7.15179i	−0.214194	−	0.268591i	−0.877308	+	0.479927i	$0.840663\pi$
$710$	−9.10194	−	11.4135i	−0.341590	−	0.428340i
$711$	0.286762	−	1.25639i	0.0107544	−	0.0471182i
$712$	−2.68673	−	11.7713i	−0.100689	−	0.441149i
$713$	19.9270	+	24.9877i	0.746273	+	0.935797i
$714$	−0.146475	+	0.0705389i	−0.00548171	+	0.00263985i
$715$	−11.9493	+	5.75449i	−0.446879	+	0.215206i
$716$	−3.02350	−	13.2468i	−0.112993	−	0.495056i
$717$	−0.598071	+	0.749957i	−0.0223354	+	0.0280077i
$718$	22.4955	+	10.8333i	0.839525	+	0.404294i
$719$	−33.1777	+	41.6035i	−1.23732	+	1.55155i	−0.521528	+	0.853234i	$0.674638\pi$
$719$	−33.1777	+	41.6035i	−1.23732	+	1.55155i	−0.715791	+	0.698314i	$0.753934\pi$
$720$	−0.667062	+	2.92259i	−0.0248599	+	0.108919i
$721$	−3.24151	+	1.56103i	−0.120720	+	0.0581358i
$722$	−1.67216	+	7.32619i	−0.0622312	+	0.272653i
$723$	0.934075	+	0.449827i	0.0347386	+	0.0167292i
$724$	14.1150			0.524580
$725$	3.58328			0.133080
$726$	0.285998	+	0.137729i	0.0106144	+	0.00511161i
$727$	1.60487	+	7.03140i	0.0595214	+	0.260780i	0.995930	−	0.0901318i	$-0.0287288\pi$
$727$	1.60487	+	7.03140i	0.0595214	+	0.260780i	−0.936408	+	0.350912i	$0.885872\pi$
$728$	−2.99139	−	3.75109i	−0.110868	−	0.139024i
$729$	−16.7586	+	21.0146i	−0.620687	+	0.778317i
$730$	−0.566716			−0.0209751
$731$	11.3440	−	9.46458i	0.419572	−	0.350060i
$732$	−0.495890			−0.0183286
$733$	1.48659	−	1.86413i	0.0549086	−	0.0688532i	−0.753619	−	0.657312i	$-0.771694\pi$
$733$	1.48659	−	1.86413i	0.0549086	−	0.0688532i	0.808527	+	0.588458i	$0.200265\pi$
$734$	−4.90413	−	6.14958i	−0.181015	−	0.226985i
$735$	−0.0494324	−	0.216578i	−0.00182334	−	0.00798858i
$736$	2.79382	+	1.34543i	0.102981	+	0.0495933i
$737$	18.7629			0.691142
$738$	−32.8961			−1.21092
$739$	−31.7449	−	15.2875i	−1.16775	−	0.562361i	−0.253434	−	0.967353i	$-0.581560\pi$
$739$	−31.7449	−	15.2875i	−1.16775	−	0.562361i	−0.914320	+	0.404992i	$0.867274\pi$
$740$	2.59932	−	11.3884i	0.0955530	−	0.418645i
$741$	0.456543	−	0.219860i	0.0167715	−	0.00807675i
$742$	3.25774	−	14.2731i	0.119595	−	0.523981i
$743$	12.5873	−	15.7840i	0.461783	−	0.579058i	−0.495354	−	0.868691i	$-0.664962\pi$
$743$	12.5873	−	15.7840i	0.461783	−	0.579058i	0.957138	+	0.289633i	$0.0935332\pi$
$744$	0.440364	+	0.212068i	0.0161445	+	0.00777479i
$745$	−8.39002	+	10.5208i	−0.307387	+	0.385451i
$746$	−0.0221758	−	0.0971587i	−0.000811915	−	0.00355723i
$747$	−33.7614	+	16.2586i	−1.23526	+	0.594872i
$748$	−8.53842	+	4.11189i	−0.312195	+	0.150345i
$749$	12.7422	+	15.9782i	0.465590	+	0.583831i
$750$	−0.0105523	−	0.0462327i	−0.000385316	−	0.00168818i
$751$	5.55655	−	24.3448i	0.202761	−	0.888356i	−0.766485	−	0.642263i	$-0.777996\pi$
$751$	5.55655	−	24.3448i	0.202761	−	0.888356i	0.969246	−	0.246093i	$-0.0791470\pi$
$752$	−4.45146	−	5.58196i	−0.162328	−	0.203553i
$753$	0.331281	+	0.415413i	0.0120725	+	0.0151385i
$754$	2.51405	−	11.0148i	0.0915563	−	0.401135i
$755$	1.33625	+	5.85451i	0.0486312	+	0.213067i
$756$	−0.269846	−	0.338377i	−0.00981421	−	0.0123066i
$757$	45.5739	−	21.9472i	1.65641	−	0.797686i	0.657387	−	0.753553i	$-0.271662\pi$
$757$	45.5739	−	21.9472i	1.65641	−	0.797686i	0.999026	−	0.0441327i	$-0.0140524\pi$
$758$	−34.4129	+	16.5724i	−1.24993	+	0.601937i
$759$	0.137641	+	0.603044i	0.00499604	+	0.0218891i
$760$	−2.11301	+	2.64964i	−0.0766471	+	0.0961124i
$761$	−0.789619	−	0.380261i	−0.0286237	−	0.0137844i	0.419517	−	0.907747i	$-0.362199\pi$
$761$	−0.789619	−	0.380261i	−0.0286237	−	0.0137844i	−0.448141	+	0.893963i	$0.647914\pi$
$762$	−0.477787	+	0.599126i	−0.0173084	+	0.0217040i
$763$	2.97464	−	13.0328i	0.107689	−	0.471817i
$764$	13.2288	−	6.37067i	0.478602	−	0.230483i
$765$	1.50288	−	6.58453i	0.0543366	−	0.238064i
$766$	9.29183	+	4.47471i	0.335727	+	0.161678i
$767$	2.04538			0.0738543
$768$	0.0474217			0.00171118
$769$	−47.9131	−	23.0737i	−1.72779	−	0.832060i	−0.987079	−	0.160235i	$-0.948775\pi$
$769$	−47.9131	−	23.0737i	−1.72779	−	0.832060i	−0.740711	−	0.671824i	$-0.765511\pi$
$770$	1.42431	+	6.24030i	0.0513285	+	0.224885i
$771$	−0.271013	−	0.339840i	−0.00976030	−	0.0122390i
$772$	2.30330	−	2.88825i	0.0828976	−	0.103950i
$773$	21.5947			0.776709			0.388354	−	0.921510i	$-0.373044\pi$
$773$	21.5947			0.776709			0.388354	+	0.921510i	$0.373044\pi$
$774$	15.6363	+	11.9133i	0.562035	+	0.428213i
$775$	10.3068			0.370232
$776$	−11.4971	+	14.4170i	−0.412724	+	0.517539i
$777$	0.525554	+	0.659024i	0.0188541	+	0.0236423i
$778$	−1.61039	−	7.05557i	−0.0577352	−	0.252955i
$779$	−33.5067	−	16.1360i	−1.20050	−	0.578132i
$780$	−0.149520			−0.00535367
$781$	61.4067			2.19730
$782$	−6.29440	−	3.03122i	−0.225087	−	0.108396i
$783$	0.226787	−	0.993617i	0.00810469	−	0.0355090i
$784$	4.22060	−	2.03253i	0.150736	−	0.0725904i
$785$	1.02171	−	4.47642i	0.0364665	−	0.159770i
$786$	0.203807	−	0.255565i	0.00726954	−	0.00911571i
$787$	−43.0673	−	20.7401i	−1.53518	−	0.739306i	−0.540410	−	0.841402i	$-0.681731\pi$
$787$	−43.0673	−	20.7401i	−1.53518	−	0.739306i	−0.994775	+	0.102096i	$0.967445\pi$
$788$	4.07234	−	5.10656i	0.145071	−	0.181914i
$789$	0.256872	+	1.12543i	0.00914488	+	0.0400663i
$790$	−0.387316	+	0.186521i	−0.0137801	+	0.00663613i
$791$	−15.0512	+	7.24826i	−0.535158	+	0.257718i
$792$	−7.86205	−	9.85870i	−0.279366	−	0.350314i
$793$	7.33671	+	32.1442i	0.260534	+	1.14148i
$794$	0.119119	−	0.521893i	0.00422736	−	0.0185213i
$795$	−0.284466	−	0.356708i	−0.0100890	−	0.0126511i
$796$	0.703935	+	0.882706i	0.0249503	+	0.0312867i
$797$	−4.74011	+	20.7678i	−0.167903	+	0.735632i	0.818930	+	0.573893i	$0.194568\pi$
$797$	−4.74011	+	20.7678i	−0.167903	+	0.735632i	−0.986834	+	0.161739i	$0.948290\pi$
$798$	−0.0544180	−	0.238421i	−0.00192638	−	0.00844001i
$799$	10.0290	+	12.5760i	0.354802	+	0.444908i
$800$	0.900969	−	0.433884i	0.0318541	−	0.0153401i
$801$	−32.6105	+	15.7044i	−1.15224	+	0.554888i
$802$	2.68151	+	11.7485i	0.0946874	+	0.414853i
$803$	1.48630	−	1.86376i	0.0524503	−	0.0657707i
$804$	0.190580	+	0.0917783i	0.00672123	+	0.00323677i
$805$	−2.94198	+	3.68912i	−0.103691	+	0.130024i
$806$	7.23133	−	31.6825i	0.254713	−	1.11597i
$807$	0.644380	−	0.310317i	0.0226833	−	0.0109237i
$808$	3.03687	−	13.3054i	0.106837	−	0.468082i
$809$	−19.1790	−	9.23611i	−0.674297	−	0.324724i	0.0652116	−	0.997871i	$-0.479228\pi$
$809$	−19.1790	−	9.23611i	−0.674297	−	0.324724i	−0.739509	+	0.673147i	$0.764942\pi$
$810$	8.97977			0.315517
$811$	31.2394			1.09697			0.548483	−	0.836162i	$-0.315206\pi$
$811$	31.2394			1.09697			0.548483	+	0.836162i	$0.315206\pi$
$812$	−4.91261	−	2.36579i	−0.172399	−	0.0830229i
$813$	0.106024	+	0.464523i	0.00371844	+	0.0162915i
$814$	30.6358	+	38.4161i	1.07379	+	1.34648i
$815$	−7.32292	+	9.18265i	−0.256511	+	0.321654i
$816$	−0.106840			−0.00374015
$817$	10.0829	+	19.8042i	0.352757	+	0.692862i
$818$	1.07921			0.0377338
$819$	−8.96745	+	11.2448i	−0.313348	+	0.392926i
$820$	6.84193	+	8.57951i	0.238931	+	0.299609i
$821$	11.6467	+	51.0273i	0.406471	+	1.78087i	0.600240	+	0.799820i	$0.295072\pi$
$821$	11.6467	+	51.0273i	0.406471	+	1.78087i	−0.193769	+	0.981047i	$0.562071\pi$
$822$	−0.0715627	−	0.0344628i	−0.00249604	−	0.00120203i
$823$	−48.6107			−1.69446			−0.847231	−	0.531225i	$-0.821732\pi$
$823$	−48.6107			−1.69446			−0.847231	+	0.531225i	$0.821732\pi$
$824$	−2.36437			−0.0823669
$825$	0.179721	+	0.0865489i	0.00625707	+	0.00301325i
$826$	0.219656	−	0.962377i	0.00764282	−	0.0334854i
$827$	29.7826	−	14.3426i	1.03564	−	0.498739i	0.162758	−	0.986666i	$-0.447961\pi$
$827$	29.7826	−	14.3426i	1.03564	−	0.498739i	0.872885	+	0.487927i	$0.162247\pi$
$828$	2.06850	−	9.06267i	0.0718852	−	0.314950i
$829$	−24.0103	+	30.1079i	−0.833911	+	1.04569i	0.164330	+	0.986405i	$0.447454\pi$
$829$	−24.0103	+	30.1079i	−0.833911	+	1.04569i	−0.998241	+	0.0592864i	$0.981117\pi$
$830$	11.2622	+	5.42360i	0.390918	+	0.188256i
$831$	0.338649	−	0.424653i	0.0117476	−	0.0147310i
$832$	−0.701606	−	3.07394i	−0.0243238	−	0.106570i
$833$	−9.50890	+	4.57925i	−0.329464	+	0.158661i
$834$	−0.220738	+	0.106302i	−0.00764353	+	0.00368093i
$835$	−9.08154	−	11.3879i	−0.314280	−	0.394094i
$836$	−3.17216	−	13.8981i	−0.109711	−	0.480677i
$837$	0.652321	−	2.85800i	0.0225475	−	0.0987871i
$838$	13.7314	+	17.2186i	0.474342	+	0.594806i
$839$	−9.64073	−	12.0891i	−0.332835	−	0.417362i	0.587050	−	0.809551i	$-0.300289\pi$
$839$	−9.64073	−	12.0891i	−0.332835	−	0.417362i	−0.919885	+	0.392189i	$0.871718\pi$
$840$	−0.0160572	+	0.0703511i	−0.000554026	+	0.00242734i
$841$	3.59596	+	15.7549i	0.123999	+	0.543273i
$842$	18.0576	+	22.6435i	0.622305	+	0.780345i
$843$	−1.14081	+	0.549383i	−0.0392914	+	0.0189218i
$844$	11.9834	−	5.77089i	0.412485	−	0.198642i
$845$	−0.680619	−	2.98198i	−0.0234140	−	0.102583i
$846$	−13.3444	+	16.7333i	−0.458789	+	0.575304i
$847$	−9.17713	−	4.41947i	−0.315330	−	0.151855i
$848$	5.99864	−	7.52205i	0.205994	−	0.258308i
$849$	−0.0189466	+	0.0830103i	−0.000650244	+	0.00284891i
$850$	−2.02986	+	0.977530i	−0.0696237	+	0.0335290i
$851$	−8.06025	+	35.3142i	−0.276302	+	1.21056i
$852$	0.623722	+	0.300369i	0.0213684	+	0.0102905i
$853$	21.6123			0.739992			0.369996	−	0.929033i	$-0.379359\pi$
$853$	21.6123			0.739992			0.369996	+	0.929033i	$0.379359\pi$
$854$	15.9122			0.544504
$855$	9.15332	+	4.40800i	0.313037	+	0.150751i
$856$	2.98857	+	13.0938i	0.102147	+	0.447537i
$857$	11.6172	+	14.5675i	0.396835	+	0.497616i	0.939603	−	0.342267i	$-0.111195\pi$
$857$	11.6172	+	14.5675i	0.396835	+	0.497616i	−0.542767	+	0.839883i	$0.682623\pi$
$858$	0.392139	−	0.491726i	0.0133874	−	0.0167873i
$859$	−42.7532			−1.45872			−0.729360	−	0.684130i	$-0.760182\pi$
$859$	−42.7532			−1.45872			−0.729360	+	0.684130i	$0.760182\pi$
$860$	−0.145080	−	6.55583i	−0.00494718	−	0.223552i
$861$	−0.791859			−0.0269865
$862$	−3.52478	+	4.41994i	−0.120055	+	0.150544i
$863$	−23.1003	−	28.9668i	−0.786342	−	0.986042i	−0.999958	−	0.00912403i	$-0.997096\pi$
$863$	−23.1003	−	28.9668i	−0.786342	−	0.986042i	0.213616	−	0.976918i	$-0.431476\pi$
$864$	−0.0632902	−	0.277292i	−0.00215318	−	0.00943368i
$865$	−2.99116	−	1.44047i	−0.101703	−	0.0489774i
$866$	−30.4119			−1.03344
$867$	−0.565461			−0.0192041
$868$	−14.1305	−	6.80487i	−0.479619	−	0.230972i
$869$	0.402381	−	1.76295i	0.0136498	−	0.0598038i
$870$	−0.153097	+	0.0737278i	−0.00519049	+	0.00249961i
$871$	3.12956	−	13.7115i	0.106041	−	0.464596i
$872$	5.47736	−	6.86839i	0.185487	−	0.232593i
$873$	49.8042	+	23.9844i	1.68562	+	0.811751i
$874$	6.55225	−	8.21627i	0.221633	−	0.277919i
$875$	0.338604	+	1.48352i	0.0114469	+	0.0501522i
$876$	0.0242132	−	0.0116605i	0.000818089	−	0.000393971i
$877$	31.9336	−	15.3784i	1.07832	−	0.519292i	0.191542	−	0.981484i	$-0.438651\pi$
$877$	31.9336	−	15.3784i	1.07832	−	0.519292i	0.886780	+	0.462192i	$0.152937\pi$
$878$	−12.9628	−	16.2549i	−0.437475	−	0.548576i
$879$	0.0727905	+	0.318916i	0.00245516	+	0.0107568i
$880$	−0.936013	+	4.10094i	−0.0315530	+	0.138243i
$881$	0.432702	+	0.542591i	0.0145781	+	0.0182803i	0.789067	−	0.614307i	$-0.210564\pi$
$881$	0.432702	+	0.542591i	0.0145781	+	0.0182803i	−0.774489	+	0.632587i	$0.781993\pi$
$882$	−8.75566	−	10.9793i	−0.294818	−	0.369691i
$883$	0.985658	−	4.31845i	0.0331700	−	0.145327i	−0.955631	−	0.294566i	$-0.904825\pi$
$883$	0.985658	−	4.31845i	0.0331700	−	0.145327i	0.988801	+	0.149238i	$0.0476822\pi$
$884$	1.58070	+	6.92550i	0.0531647	+	0.232930i
$885$	−0.0191804	−	0.0240515i	−0.000644742	−	0.000808481i
$886$	12.5763	−	6.05643i	0.422509	−	0.203470i
$887$	28.6151	−	13.7803i	0.960800	−	0.462697i	0.113340	−	0.993556i	$-0.463845\pi$
$887$	28.6151	−	13.7803i	0.960800	−	0.462697i	0.847460	+	0.530859i	$0.178131\pi$
$888$	0.123264	+	0.540056i	0.00413648	+	0.0181231i
$889$	15.3313	−	19.2248i	0.514195	−	0.644780i
$890$	10.8783	+	5.23873i	0.364643	+	0.175603i
$891$	−23.5508	+	29.5318i	−0.788981	+	0.989351i
$892$	−3.55028	+	15.5548i	−0.118872	+	0.520813i
$893$	−21.8000	+	10.4983i	−0.729509	+	0.351313i
$894$	0.141998	−	0.622133i	0.00474912	−	0.0208072i
$895$	12.2419	+	5.89538i	0.409201	+	0.197061i
$896$	−1.52167			−0.0508356
$897$	0.463647			0.0154807
$898$	−10.8143	−	5.20787i	−0.360876	−	0.173789i
$899$	−8.21820	−	36.0063i	−0.274092	−	1.20088i
$900$	−1.86907	−	2.34374i	−0.0623022	−	0.0781245i
$901$	−13.5148	+	16.9470i	−0.450243	+	0.564587i
$902$	−46.1594			−1.53694
$903$	0.376389	+	0.286770i	0.0125255	+	0.00954311i
$904$	−10.9784			−0.365136
$905$	−8.80056	+	11.0355i	−0.292540	+	0.366834i
$906$	−0.177551	−	0.222642i	−0.00589875	−	0.00739680i
$907$	3.52920	+	15.4624i	0.117185	+	0.513422i	0.999116	+	0.0420425i	$0.0133865\pi$
$907$	3.52920	+	15.4624i	0.117185	+	0.513422i	−0.881931	+	0.471379i	$0.843756\pi$
$908$	7.26964	+	3.50088i	0.241252	+	0.116181i
$909$	−40.9120			−1.35697
$910$	4.79782			0.159046
$911$	28.1815	+	13.5715i	0.933693	+	0.449643i	0.837940	−	0.545762i	$-0.183760\pi$
$911$	28.1815	+	13.5715i	0.933693	+	0.449643i	0.0957531	+	0.995405i	$0.469474\pi$
$912$	0.0357619	−	0.156683i	0.00118420	−	0.00518830i
$913$	−47.3735	+	22.8139i	−1.56783	+	0.755029i
$914$	4.39403	−	19.2515i	0.145342	−	0.636784i
$915$	0.309183	−	0.387703i	0.0102213	−	0.0128171i
$916$	−6.66677	−	3.21055i	−0.220276	−	0.106079i
$917$	−6.53977	+	8.20062i	−0.215962	+	0.270808i
$918$	0.142591	+	0.624733i	0.00470621	+	0.0206193i
$919$	6.33517	−	3.05086i	0.208978	−	0.100638i	−0.326467	−	0.945209i	$-0.605858\pi$
$919$	6.33517	−	3.05086i	0.208978	−	0.100638i	0.535445	+	0.844570i	$0.320144\pi$
$920$	−2.79382	+	1.34543i	−0.0921094	+	0.0443576i
$921$	0.130038	+	0.163062i	0.00428490	+	0.00537309i
$922$	2.54246	+	11.1392i	0.0837314	+	0.366851i
$923$	10.2423	−	44.8745i	0.337129	−	1.47706i
$924$	−0.189251	−	0.237314i	−0.00622591	−	0.00780705i
$925$	7.28314	+	9.13277i	0.239468	+	0.300283i
$926$	−7.55288	+	33.0913i	−0.248203	+	1.08745i
$927$	1.57719	+	6.91010i	0.0518016	+	0.226958i
$928$	−2.23414	−	2.80152i	−0.0733392	−	0.0919645i
$929$	7.47740	−	3.60093i	0.245326	−	0.118143i	−0.307181	−	0.951651i	$-0.599386\pi$
$929$	7.47740	−	3.60093i	0.245326	−	0.118143i	0.552507	+	0.833509i	$0.313671\pi$
$930$	−0.440364	+	0.212068i	−0.0144401	+	0.00695399i
$931$	−3.53271	−	15.4778i	−0.115780	−	0.507265i
$932$	−11.4609	+	14.3715i	−0.375413	+	0.470753i
$933$	−0.411307	−	0.198075i	−0.0134656	−	0.00648468i
$934$	24.5265	−	30.7552i	0.802530	−	1.00634i
$935$	2.10882	−	9.23932i	0.0689656	−	0.302158i
$936$	−8.51584	+	4.10101i	−0.278349	+	0.134046i
$937$	2.91589	−	12.7753i	0.0952579	−	0.417352i	−0.904704	−	0.426040i	$-0.859908\pi$
$937$	2.91589	−	12.7753i	0.0952579	−	0.417352i	0.999962	+	0.00868776i	$0.00276543\pi$
$938$	−6.11535	−	2.94500i	−0.199673	−	0.0961576i
$939$	−1.22583			−0.0400035
$940$	7.13959			0.232868
$941$	−38.1186	−	18.3570i	−1.24263	−	0.598420i	−0.307105	−	0.951676i	$-0.599360\pi$
$941$	−38.1186	−	18.3570i	−1.24263	−	0.598420i	−0.935527	+	0.353256i	$0.885074\pi$
$942$	0.0484514	+	0.212279i	0.00157863	+	0.00691644i
$943$	−21.2162	−	26.6042i	−0.690893	−	0.866353i
$944$	0.404465	−	0.507183i	0.0131642	−	0.0165074i
$945$	0.432800			0.0140790
$946$	21.9407	+	16.7165i	0.713352	+	0.543502i
$947$	−32.9806			−1.07173			−0.535863	−	0.844305i	$-0.680013\pi$
$947$	−32.9806			−1.07173			−0.535863	+	0.844305i	$0.680013\pi$
$948$	0.0127105	−	0.0159384i	0.000412817	−	0.000517656i
$949$	−1.11408	−	1.39701i	−0.0361646	−	0.0453490i
$950$	−0.754126	−	3.30404i	−0.0244671	−	0.107197i
$951$	−0.327360	−	0.157648i	−0.0106154	−	0.00511209i
$952$	3.42829			0.111112
$953$	−51.3867			−1.66458			−0.832290	−	0.554341i	$-0.812970\pi$
$953$	−51.3867			−1.66458			−0.832290	+	0.554341i	$0.812970\pi$
$954$	−25.9854	−	12.5139i	−0.841307	−	0.405152i
$955$	−3.26725	+	14.3148i	−0.105726	+	0.463215i
$956$	18.2245	−	8.77647i	0.589423	−	0.283851i
$957$	0.159052	−	0.696854i	0.00514143	−	0.0225261i
$958$	−3.33238	+	4.17868i	−0.107664	+	0.135007i
$959$	2.29632	+	1.10585i	0.0741519	+	0.0357097i
$960$	−0.0295669	+	0.0370758i	−0.000954269	+	0.00119662i
$961$	−16.7404	−	73.3445i	−0.540013	−	2.36595i
$962$	33.1834	−	15.9803i	1.06988	−	0.515225i
$963$	36.2743	−	17.4688i	1.16892	−	0.562923i
$964$	−13.6309	−	17.0926i	−0.439022	−	0.550516i
$965$	0.822038	+	3.60159i	0.0264623	+	0.115939i
$966$	0.0497918	−	0.218152i	0.00160202	−	0.00701893i
$967$	13.2167	+	16.5732i	0.425021	+	0.532959i	0.947527	−	0.319676i	$-0.103574\pi$
$967$	13.2167	+	16.5732i	0.425021	+	0.532959i	−0.522506	+	0.852636i	$0.675003\pi$
$968$	−4.17354	−	5.23346i	−0.134143	−	0.168210i
$969$	−0.0805708	+	0.353004i	−0.00258831	+	0.0113401i
$970$	−4.10328	−	17.9777i	−0.131749	−	0.577228i
$971$	32.7927	+	41.1207i	1.05237	+	1.31963i	0.945596	+	0.325343i	$0.105480\pi$
$971$	32.7927	+	41.1207i	1.05237	+	1.31963i	0.106771	+	0.994284i	$0.465949\pi$
$972$	−1.15243	+	0.554983i	−0.0369644	+	0.0178011i
$973$	7.08307	−	3.41103i	0.227073	−	0.109352i
$974$	−6.78559	−	29.7296i	−0.217424	−	0.952599i
$975$	0.0932242	−	0.116899i	0.00298556	−	0.00374378i
$976$	9.42146	+	4.53714i	0.301574	+	0.145230i
$977$	−4.90737	+	6.15364i	−0.157001	+	0.196872i	−0.854110	−	0.520092i	$-0.825898\pi$
$977$	−4.90737	+	6.15364i	−0.157001	+	0.196872i	0.697110	+	0.716964i	$0.254469\pi$
$978$	0.123937	−	0.543006i	0.00396308	−	0.0173634i
$979$	−45.7587	+	22.0362i	−1.46245	+	0.704281i
$980$	−1.04240	+	4.56706i	−0.0332983	+	0.145889i
$981$	−23.7273	−	11.4264i	−0.757553	−	0.364818i
$982$	17.4812			0.557848
$983$	1.22948			0.0392143			0.0196072	−	0.999808i	$-0.493758\pi$
$983$	1.22948			0.0392143			0.0196072	+	0.999808i	$0.493758\pi$
$984$	−0.468852	−	0.225787i	−0.0149465	−	0.00719784i
$985$	1.45340	+	6.36777i	0.0463093	+	0.202894i
$986$	5.03346	+	6.31176i	0.160298	+	0.201008i
$987$	−0.321219	+	0.402796i	−0.0102245	+	0.0128211i
$988$	−10.6855			−0.339951
$989$	0.449878	+	20.3290i	0.0143053	+	0.646425i
$990$	12.6098			0.400764
$991$	0.624428	−	0.783008i	0.0198356	−	0.0248731i	−0.771815	−	0.635847i	$-0.780651\pi$
$991$	0.624428	−	0.783008i	0.0198356	−	0.0248731i	0.791650	+	0.610974i	$0.209222\pi$
$992$	−6.42620	−	8.05820i	−0.204032	−	0.255848i
$993$	−0.170536	−	0.747167i	−0.00541179	−	0.0237106i
$994$	−20.0141	−	9.63828i	−0.634808	−	0.305708i
$995$	−1.12902			−0.0357925
$996$	−0.592777			−0.0187829
$997$	−26.9183	−	12.9632i	−0.852512	−	0.410548i	−0.0440027	−	0.999031i	$-0.514011\pi$
$997$	−26.9183	−	12.9632i	−0.852512	−	0.410548i	−0.808509	+	0.588483i	$0.799725\pi$
$998$	−2.29817	+	10.0689i	−0.0727473	+	0.318727i
$999$	2.99340	−	1.44154i	0.0947069	−	0.0456084i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.d.391.3	yes	24
43.11	even	7	inner	430.2.k.d.11.3	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.d.11.3	✓	24	43.11	even	7	inner
430.2.k.d.391.3	yes	24	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)

\(f(q)\)	\(=\)	\(q+(-0.623490 + 0.781831i) q^{2} +(0.0295669 + 0.0370758i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} -0.0474217 q^{6} +1.52167 q^{7} +(0.900969 + 0.433884i) q^{8} +(0.667062 - 2.92259i) q^{9} +O(q^{10})\)	\(q+(-0.623490 + 0.781831i) q^{2} +(0.0295669 + 0.0370758i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} -0.0474217 q^{6} +1.52167 q^{7} +(0.900969 + 0.433884i) q^{8} +(0.667062 - 2.92259i) q^{9} +(-0.900969 + 0.433884i) q^{10} +(0.936013 - 4.10094i) q^{11} +(0.0295669 - 0.0370758i) q^{12} +(-2.84074 - 1.36803i) q^{13} +(-0.948748 + 1.18969i) q^{14} +(0.0105523 + 0.0462327i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(2.02986 - 0.977530i) q^{17} +(1.86907 + 2.34374i) q^{18} +(0.754126 + 3.30404i) q^{19} +(0.222521 - 0.974928i) q^{20} +(0.0449912 + 0.0564172i) q^{21} +(2.62265 + 3.28870i) q^{22} +(-0.690016 + 3.02316i) q^{23} +(0.0105523 + 0.0462327i) q^{24} +(0.623490 + 0.781831i) q^{25} +(2.84074 - 1.36803i) q^{26} +(0.256257 - 0.123407i) q^{27} +(-0.338604 - 1.48352i) q^{28} +(2.23414 - 2.80152i) q^{29} +(-0.0427255 - 0.0205755i) q^{30} +(6.42620 - 8.05820i) q^{31} +(0.222521 - 0.974928i) q^{32} +(0.179721 - 0.0865489i) q^{33} +(-0.501334 + 2.19649i) q^{34} +(1.37098 + 0.660230i) q^{35} -2.99775 q^{36} +11.6812 q^{37} +(-3.05339 - 1.47044i) q^{38} +(-0.0332713 - 0.145771i) q^{39} +(0.623490 + 0.781831i) q^{40} +(-6.84193 + 8.57951i) q^{41} -0.0721603 q^{42} +(6.35918 - 1.60025i) q^{43} -4.20641 q^{44} +(1.86907 - 2.34374i) q^{45} +(-1.93338 - 2.42438i) q^{46} +(1.58871 + 6.96059i) q^{47} +(-0.0427255 - 0.0205755i) q^{48} -4.68451 q^{49} -1.00000 q^{50} +(0.0962594 + 0.0463561i) q^{51} +(-0.701606 + 3.07394i) q^{52} +(-8.66828 + 4.17442i) q^{53} +(-0.0632902 + 0.277292i) q^{54} +(2.62265 - 3.28870i) q^{55} +(1.37098 + 0.660230i) q^{56} +(-0.100203 + 0.125650i) q^{57} +(0.797355 + 3.49344i) q^{58} +(-0.584468 + 0.281465i) q^{59} +(0.0427255 - 0.0205755i) q^{60} +(-6.51985 - 8.17564i) q^{61} +(2.29348 + 10.0484i) q^{62} +(1.01505 - 4.44723i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-1.96586 - 2.46510i) q^{65} +(-0.0443873 + 0.194474i) q^{66} +(0.992569 + 4.34873i) q^{67} +(-1.40471 - 1.76145i) q^{68} +(-0.132488 + 0.0638026i) q^{69} +(-1.37098 + 0.660230i) q^{70} +(3.24844 + 14.2324i) q^{71} +(1.86907 - 2.34374i) q^{72} +(0.510594 + 0.245889i) q^{73} +(-7.28314 + 9.13277i) q^{74} +(-0.0105523 + 0.0462327i) q^{75} +(3.05339 - 1.47044i) q^{76} +(1.42431 - 6.24030i) q^{77} +(0.134713 + 0.0648743i) q^{78} +0.429888 q^{79} -1.00000 q^{80} +(-8.09049 - 3.89617i) q^{81} +(-2.44186 - 10.6985i) q^{82} +(-7.79370 - 9.77300i) q^{83} +(0.0449912 - 0.0564172i) q^{84} +2.25298 q^{85} +(-2.71376 + 5.96955i) q^{86} +0.169925 q^{87} +(2.62265 - 3.28870i) q^{88} +(-7.52804 - 9.43987i) q^{89} +(0.667062 + 2.92259i) q^{90} +(-4.32269 - 2.08170i) q^{91} +3.10090 q^{92} +0.488767 q^{93} +(-6.43255 - 3.09775i) q^{94} +(-0.754126 + 3.30404i) q^{95} +(0.0427255 - 0.0205755i) q^{96} +(-4.10328 + 17.9777i) q^{97} +(2.92074 - 3.66250i) q^{98} +(-11.3610 - 5.47117i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * q^99

Introduction

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