LMFDB - Embedded newform 350.2.h.b.281.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(71,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([6, 0]))

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

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

chi := DirichletCharacter("350.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 4 x^{11} + 6 x^{10} + x^{9} - 14 x^{8} + 10 x^{7} + 35 x^{6} - 110 x^{5} + 230 x^{4} + \cdots + 125 $ x^12 - 4x^11 + 6x^10 + x^9 - 14x^8 + 10x^7 + 35x^6 - 110x^5 + 230x^4 - 325x^3 + 300x^2 - 250x + 125
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			281.2
Root			$-0.258306 - 1.14684i$ of defining polynomial
Character	$\chi$	$=$	350.281
Dual form			350.2.h.b.71.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(0.408688 - 0.296929i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.206815 + 2.22648i) q^{5} +(-0.408688 - 0.296929i) q^{6} -1.00000 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.848192 + 2.61047i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(0.408688 - 0.296929i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.206815 + 2.22648i) q^{5} +(-0.408688 - 0.296929i) q^{6} -1.00000 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.848192 + 2.61047i) q^{9} +(2.18142 - 0.491328i) q^{10} +(0.608932 + 1.87410i) q^{11} +(-0.156105 + 0.480441i) q^{12} +(-0.779862 + 2.40017i) q^{13} +(0.309017 + 0.951057i) q^{14} +(0.576584 + 0.971346i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-2.55523 - 1.85648i) q^{17} +2.74481 q^{18} +(5.45009 + 3.95972i) q^{19} +(-1.14138 - 1.92283i) q^{20} +(-0.408688 + 0.296929i) q^{21} +(1.59420 - 1.15826i) q^{22} +(0.753465 + 2.31893i) q^{23} +0.505166 q^{24} +(-4.91445 - 0.920942i) q^{25} +2.52369 q^{26} +(0.896792 + 2.76004i) q^{27} +(0.809017 - 0.587785i) q^{28} +(1.36773 - 0.993711i) q^{29} +(0.745630 - 0.848527i) q^{30} +(-1.32812 - 0.964937i) q^{31} -1.00000 q^{32} +(0.805337 + 0.585112i) q^{33} +(-0.976011 + 3.00385i) q^{34} +(0.206815 - 2.22648i) q^{35} +(-0.848192 - 2.61047i) q^{36} +(2.66512 - 8.20239i) q^{37} +(2.08175 - 6.40697i) q^{38} +(0.393960 + 1.21248i) q^{39} +(-1.47601 + 1.67970i) q^{40} +(-0.775703 + 2.38737i) q^{41} +(0.408688 + 0.296929i) q^{42} +8.20862 q^{43} +(-1.59420 - 1.15826i) q^{44} +(-5.63674 - 2.42837i) q^{45} +(1.97260 - 1.43317i) q^{46} +(0.413366 - 0.300328i) q^{47} +(-0.156105 - 0.480441i) q^{48} +1.00000 q^{49} +(0.642782 + 4.95851i) q^{50} -1.59553 q^{51} +(-0.779862 - 2.40017i) q^{52} +(2.70503 - 1.96532i) q^{53} +(2.34783 - 1.70580i) q^{54} +(-4.29859 + 0.968184i) q^{55} +(-0.809017 - 0.587785i) q^{56} +3.40314 q^{57} +(-1.36773 - 0.993711i) q^{58} +(-3.41192 + 10.5008i) q^{59} +(-1.03741 - 0.446927i) q^{60} +(-0.274139 - 0.843712i) q^{61} +(-0.507297 + 1.56130i) q^{62} +(0.848192 - 2.61047i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-5.18265 - 2.23274i) q^{65} +(0.307611 - 0.946730i) q^{66} +(-10.5891 - 7.69345i) q^{67} +3.15844 q^{68} +(0.996488 + 0.723991i) q^{69} +(-2.18142 + 0.491328i) q^{70} +(-5.71939 + 4.15538i) q^{71} +(-2.22060 + 1.61336i) q^{72} +(0.244439 + 0.752307i) q^{73} -8.62451 q^{74} +(-2.28193 + 1.08287i) q^{75} -6.73669 q^{76} +(-0.608932 - 1.87410i) q^{77} +(1.03140 - 0.749356i) q^{78} +(4.34961 - 3.16017i) q^{79} +(2.05360 + 0.884714i) q^{80} +(-5.47574 - 3.97836i) q^{81} +2.51023 q^{82} +(-3.62623 - 2.63461i) q^{83} +(0.156105 - 0.480441i) q^{84} +(4.66189 - 5.30523i) q^{85} +(-2.53660 - 7.80687i) q^{86} +(0.263911 - 0.812235i) q^{87} +(-0.608932 + 1.87410i) q^{88} +(4.29265 + 13.2114i) q^{89} +(-0.567668 + 6.11127i) q^{90} +(0.779862 - 2.40017i) q^{91} +(-1.97260 - 1.43317i) q^{92} -0.829305 q^{93} +(-0.413366 - 0.300328i) q^{94} +(-9.94342 + 11.3156i) q^{95} +(-0.408688 + 0.296929i) q^{96} +(6.64498 - 4.82786i) q^{97} +(-0.309017 - 0.951057i) q^{98} -5.40876 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 3 q^{2} + q^{3} - 3 q^{4} - 5 q^{5} - q^{6} - 12 q^{7} + 3 q^{8} + 6 q^{9}+O(q^{10}) $ 12 * q + 3 * q^2 + q^3 - 3 * q^4 - 5 * q^5 - q^6 - 12 * q^7 + 3 * q^8 + 6 * q^9	\( 12 q + 3 q^{2} + q^{3} - 3 q^{4} - 5 q^{5} - q^{6} - 12 q^{7} + 3 q^{8} + 6 q^{9} + 7 q^{11} - 4 q^{12} + 3 q^{13} - 3 q^{14} - 10 q^{15} - 3 q^{16} + 4 q^{17} - 6 q^{18} + 4 q^{19} + 5 q^{20} - q^{21} - 2 q^{22} - q^{23} - 6 q^{24} - 5 q^{25} + 12 q^{26} + 10 q^{27} + 3 q^{28} + 22 q^{29} + 15 q^{30} + 31 q^{31} - 12 q^{32} - 21 q^{33} + 6 q^{34} + 5 q^{35} + 6 q^{36} + 9 q^{37} - 4 q^{38} - 20 q^{39} - 19 q^{41} + q^{42} + 50 q^{43} + 2 q^{44} - 25 q^{45} + 16 q^{46} - 24 q^{47} - 4 q^{48} + 12 q^{49} - 58 q^{51} + 3 q^{52} + 35 q^{53} + 25 q^{54} - 10 q^{55} - 3 q^{56} - 44 q^{57} - 22 q^{58} + q^{59} - 5 q^{60} + 8 q^{61} + 19 q^{62} - 6 q^{63} - 3 q^{64} - 25 q^{65} - 14 q^{66} - 36 q^{67} + 4 q^{68} - 31 q^{69} + q^{71} + 9 q^{72} - 31 q^{73} - 14 q^{74} + 55 q^{75} - 16 q^{76} - 7 q^{77} - 30 q^{78} + 2 q^{79} - 8 q^{81} - 6 q^{82} - 19 q^{83} + 4 q^{84} + 20 q^{85} + 10 q^{86} + 28 q^{87} - 7 q^{88} + 40 q^{89} + 20 q^{90} - 3 q^{91} - 16 q^{92} + 50 q^{93} + 24 q^{94} - q^{96} + 28 q^{97} + 3 q^{98} - 24 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 + q^3 - 3 * q^4 - 5 * q^5 - q^6 - 12 * q^7 + 3 * q^8 + 6 * q^9 + 7 * q^11 - 4 * q^12 + 3 * q^13 - 3 * q^14 - 10 * q^15 - 3 * q^16 + 4 * q^17 - 6 * q^18 + 4 * q^19 + 5 * q^20 - q^21 - 2 * q^22 - q^23 - 6 * q^24 - 5 * q^25 + 12 * q^26 + 10 * q^27 + 3 * q^28 + 22 * q^29 + 15 * q^30 + 31 * q^31 - 12 * q^32 - 21 * q^33 + 6 * q^34 + 5 * q^35 + 6 * q^36 + 9 * q^37 - 4 * q^38 - 20 * q^39 - 19 * q^41 + q^42 + 50 * q^43 + 2 * q^44 - 25 * q^45 + 16 * q^46 - 24 * q^47 - 4 * q^48 + 12 * q^49 - 58 * q^51 + 3 * q^52 + 35 * q^53 + 25 * q^54 - 10 * q^55 - 3 * q^56 - 44 * q^57 - 22 * q^58 + q^59 - 5 * q^60 + 8 * q^61 + 19 * q^62 - 6 * q^63 - 3 * q^64 - 25 * q^65 - 14 * q^66 - 36 * q^67 + 4 * q^68 - 31 * q^69 + q^71 + 9 * q^72 - 31 * q^73 - 14 * q^74 + 55 * q^75 - 16 * q^76 - 7 * q^77 - 30 * q^78 + 2 * q^79 - 8 * q^81 - 6 * q^82 - 19 * q^83 + 4 * q^84 + 20 * q^85 + 10 * q^86 + 28 * q^87 - 7 * q^88 + 40 * q^89 + 20 * q^90 - 3 * q^91 - 16 * q^92 + 50 * q^93 + 24 * q^94 - q^96 + 28 * q^97 + 3 * q^98 - 24 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{2}{5}\right)$

Coefficient data

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

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

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

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	0.408688	−	0.296929i	0.235956	−	0.171432i	−0.463524	−	0.886084i	$-0.653415\pi$
$3$	0.408688	−	0.296929i	0.235956	−	0.171432i	0.699480	+	0.714652i	$0.253415\pi$
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−0.206815	+	2.22648i	−0.0924906	+	0.995714i
$5$	−0.206815	+	2.22648i	−0.0924906	+	0.995714i
$6$	−0.408688	−	0.296929i	−0.166846	−	0.121221i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−0.848192	+	2.61047i	−0.282731	+	0.870156i
$10$	2.18142	−	0.491328i	0.689826	−	0.155372i
$11$	0.608932	+	1.87410i	0.183600	+	0.565062i	0.999921	−	0.0125355i	$-0.00399029\pi$
$11$	0.608932	+	1.87410i	0.183600	+	0.565062i	−0.816322	+	0.577598i	$0.803990\pi$
$12$	−0.156105	+	0.480441i	−0.0450636	+	0.138691i
$13$	−0.779862	+	2.40017i	−0.216295	+	0.665687i	0.782764	+	0.622318i	$0.213809\pi$
$13$	−0.779862	+	2.40017i	−0.216295	+	0.665687i	−0.999059	+	0.0433689i	$0.986191\pi$
$14$	0.309017	+	0.951057i	0.0825883	+	0.254181i
$15$	0.576584	+	0.971346i	0.148873	+	0.250800i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−2.55523	−	1.85648i	−0.619734	−	0.450263i	0.233094	−	0.972454i	$-0.425115\pi$
$17$	−2.55523	−	1.85648i	−0.619734	−	0.450263i	−0.852829	+	0.522191i	$0.825115\pi$
$18$	2.74481			0.646957
$19$	5.45009	+	3.95972i	1.25034	+	0.908423i	0.998241	−	0.0592793i	$-0.0188803\pi$
$19$	5.45009	+	3.95972i	1.25034	+	0.908423i	0.252096	+	0.967702i	$0.418880\pi$
$20$	−1.14138	−	1.92283i	−0.255220	−	0.429957i
$21$	−0.408688	+	0.296929i	−0.0891830	+	0.0647952i
$22$	1.59420	−	1.15826i	0.339885	−	0.246941i
$23$	0.753465	+	2.31893i	0.157108	+	0.483529i	0.998368	−	0.0571011i	$-0.0181857\pi$
$23$	0.753465	+	2.31893i	0.157108	+	0.483529i	−0.841260	+	0.540630i	$0.818186\pi$
$24$	0.505166			0.103117
$25$	−4.91445	−	0.920942i	−0.982891	−	0.184188i
$26$	2.52369			0.494936
$27$	0.896792	+	2.76004i	0.172588	+	0.531170i
$28$	0.809017	−	0.587785i	0.152890	−	0.111081i
$29$	1.36773	−	0.993711i	0.253980	−	0.184527i	−0.453509	−	0.891252i	$-0.649828\pi$
$29$	1.36773	−	0.993711i	0.253980	−	0.184527i	0.707489	+	0.706724i	$0.249828\pi$
$30$	0.745630	−	0.848527i	0.136133	−	0.154919i
$31$	−1.32812	−	0.964937i	−0.238538	−	0.173308i	0.462094	−	0.886831i	$-0.347098\pi$
$31$	−1.32812	−	0.964937i	−0.238538	−	0.173308i	−0.700632	+	0.713523i	$0.747098\pi$
$32$	−1.00000			−0.176777
$33$	0.805337	+	0.585112i	0.140191	+	0.101855i
$34$	−0.976011	+	3.00385i	−0.167385	+	0.515157i
$35$	0.206815	−	2.22648i	0.0349582	−	0.376344i
$36$	−0.848192	−	2.61047i	−0.141365	−	0.435078i
$37$	2.66512	−	8.20239i	0.438143	−	1.34847i	−0.451689	−	0.892176i	$-0.649178\pi$
$37$	2.66512	−	8.20239i	0.438143	−	1.34847i	0.889831	−	0.456289i	$-0.150822\pi$
$38$	2.08175	−	6.40697i	0.337704	−	1.03935i
$39$	0.393960	+	1.21248i	0.0630840	+	0.194153i
$40$	−1.47601	+	1.67970i	−0.233378	+	0.265584i
$41$	−0.775703	+	2.38737i	−0.121144	+	0.372844i	−0.993179	−	0.116600i	$-0.962800\pi$
$41$	−0.775703	+	2.38737i	−0.121144	+	0.372844i	0.872034	+	0.489444i	$0.162800\pi$
$42$	0.408688	+	0.296929i	0.0630619	+	0.0458171i
$43$	8.20862			1.25180			0.625902	−	0.779902i	$-0.284731\pi$
$43$	8.20862			1.25180			0.625902	+	0.779902i	$0.284731\pi$
$44$	−1.59420	−	1.15826i	−0.240335	−	0.174614i
$45$	−5.63674	−	2.42837i	−0.840276	−	0.362000i
$46$	1.97260	−	1.43317i	0.290843	−	0.211310i
$47$	0.413366	−	0.300328i	0.0602956	−	0.0438073i	−0.557229	−	0.830359i	$-0.688136\pi$
$47$	0.413366	−	0.300328i	0.0602956	−	0.0438073i	0.617525	+	0.786551i	$0.288136\pi$
$48$	−0.156105	−	0.480441i	−0.0225318	−	0.0693457i
$49$	1.00000			0.142857
$50$	0.642782	+	4.95851i	0.0909032	+	0.701239i
$51$	−1.59553			−0.223420
$52$	−0.779862	−	2.40017i	−0.108147	−	0.332844i
$53$	2.70503	−	1.96532i	0.371564	−	0.269957i	−0.386295	−	0.922375i	$-0.626245\pi$
$53$	2.70503	−	1.96532i	0.371564	−	0.269957i	0.757859	+	0.652418i	$0.226245\pi$
$54$	2.34783	−	1.70580i	0.319499	−	0.232130i
$55$	−4.29859	+	0.968184i	−0.579621	+	0.130550i
$56$	−0.809017	−	0.587785i	−0.108109	−	0.0785461i
$57$	3.40314			0.450757
$58$	−1.36773	−	0.993711i	−0.179591	−	0.130481i
$59$	−3.41192	+	10.5008i	−0.444195	+	1.36709i	0.439170	+	0.898404i	$0.355273\pi$
$59$	−3.41192	+	10.5008i	−0.444195	+	1.36709i	−0.883365	+	0.468687i	$0.844727\pi$
$60$	−1.03741	−	0.446927i	−0.133929	−	0.0576981i
$61$	−0.274139	−	0.843712i	−0.0350999	−	0.108026i	0.931972	−	0.362531i	$-0.118087\pi$
$61$	−0.274139	−	0.843712i	−0.0350999	−	0.108026i	−0.967071	+	0.254505i	$0.918087\pi$
$62$	−0.507297	+	1.56130i	−0.0644268	+	0.198285i
$63$	0.848192	−	2.61047i	0.106862	−	0.328888i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−5.18265	−	2.23274i	−0.642829	−	0.276938i
$66$	0.307611	−	0.946730i	0.0378643	−	0.116534i
$67$	−10.5891	−	7.69345i	−1.29367	−	0.939904i	−0.293795	−	0.955868i	$-0.594918\pi$
$67$	−10.5891	−	7.69345i	−1.29367	−	0.939904i	−0.999873	+	0.0159640i	$0.994918\pi$
$68$	3.15844			0.383017
$69$	0.996488	+	0.723991i	0.119963	+	0.0871582i
$70$	−2.18142	+	0.491328i	−0.260730	+	0.0587249i
$71$	−5.71939	+	4.15538i	−0.678767	+	0.493153i	−0.872948	−	0.487813i	$-0.837795\pi$
$71$	−5.71939	+	4.15538i	−0.678767	+	0.493153i	0.194181	+	0.980966i	$0.437795\pi$
$72$	−2.22060	+	1.61336i	−0.261700	+	0.190136i
$73$	0.244439	+	0.752307i	0.0286094	+	0.0880508i	0.964342	−	0.264660i	$-0.0852598\pi$
$73$	0.244439	+	0.752307i	0.0286094	+	0.0880508i	−0.935732	+	0.352711i	$0.885260\pi$
$74$	−8.62451			−1.00258
$75$	−2.28193	+	1.08287i	−0.263495	+	0.125039i
$76$	−6.73669			−0.772751
$77$	−0.608932	−	1.87410i	−0.0693942	−	0.213573i
$78$	1.03140	−	0.749356i	0.116783	−	0.0848479i
$79$	4.34961	−	3.16017i	0.489369	−	0.355547i	−0.315573	−	0.948901i	$-0.602197\pi$
$79$	4.34961	−	3.16017i	0.489369	−	0.355547i	0.804942	+	0.593354i	$0.202197\pi$
$80$	2.05360	+	0.884714i	0.229600	+	0.0989141i
$81$	−5.47574	−	3.97836i	−0.608416	−	0.442040i
$82$	2.51023			0.277208
$83$	−3.62623	−	2.63461i	−0.398031	−	0.289186i	0.370708	−	0.928750i	$-0.379115\pi$
$83$	−3.62623	−	2.63461i	−0.398031	−	0.289186i	−0.768738	+	0.639563i	$0.779115\pi$
$84$	0.156105	−	0.480441i	0.0170324	−	0.0524204i
$85$	4.66189	−	5.30523i	0.505653	−	0.575433i
$86$	−2.53660	−	7.80687i	−0.273529	−	0.841836i
$87$	0.263911	−	0.812235i	0.0282942	−	0.0870807i
$88$	−0.608932	+	1.87410i	−0.0649123	+	0.199780i
$89$	4.29265	+	13.2114i	0.455020	+	1.40041i	0.871112	+	0.491084i	$0.163399\pi$
$89$	4.29265	+	13.2114i	0.455020	+	1.40041i	−0.416092	+	0.909322i	$0.636601\pi$
$90$	−0.567668	+	6.11127i	−0.0598375	+	0.644184i
$91$	0.779862	−	2.40017i	0.0817518	−	0.251606i
$92$	−1.97260	−	1.43317i	−0.205657	−	0.149419i
$93$	−0.829305			−0.0859949
$94$	−0.413366	−	0.300328i	−0.0426354	−	0.0309765i
$95$	−9.94342	+	11.3156i	−1.02017	+	1.16096i
$96$	−0.408688	+	0.296929i	−0.0417115	+	0.0303052i
$97$	6.64498	−	4.82786i	0.674695	−	0.490195i	−0.196898	−	0.980424i	$-0.563087\pi$
$97$	6.64498	−	4.82786i	0.674695	−	0.490195i	0.871594	+	0.490229i	$0.163087\pi$
$98$	−0.309017	−	0.951057i	−0.0312154	−	0.0960712i
$99$	−5.40876			−0.543601
$100$	4.51719	−	2.14359i	0.451719	−	0.214359i
$101$	−10.6631			−1.06102			−0.530508	−	0.847680i	$-0.677999\pi$
$101$	−10.6631			−1.06102			−0.530508	+	0.847680i	$0.677999\pi$
$102$	0.493047	+	1.51744i	0.0488190	+	0.150249i
$103$	9.00906	−	6.54546i	0.887689	−	0.644944i	−0.0475855	−	0.998867i	$-0.515153\pi$
$103$	9.00906	−	6.54546i	0.887689	−	0.644944i	0.935274	+	0.353923i	$0.115153\pi$
$104$	−2.04171	+	1.48339i	−0.200206	+	0.145458i
$105$	−0.576584	−	0.971346i	−0.0562689	−	0.0947936i
$106$	−2.70503	−	1.96532i	−0.262736	−	0.190889i
$107$	5.83823			0.564403			0.282202	−	0.959355i	$-0.408935\pi$
$107$	5.83823			0.564403			0.282202	+	0.959355i	$0.408935\pi$
$108$	−2.34783	−	1.70580i	−0.225920	−	0.164141i
$109$	5.14770	−	15.8430i	0.493060	−	1.51748i	−0.326899	−	0.945059i	$-0.606004\pi$
$109$	5.14770	−	15.8430i	0.493060	−	1.51748i	0.819959	−	0.572423i	$-0.193996\pi$
$110$	2.24913	+	3.78901i	0.214446	+	0.361268i
$111$	−1.34633	−	4.14357i	−0.127788	−	0.393290i
$112$	−0.309017	+	0.951057i	−0.0291994	+	0.0898664i
$113$	−2.67906	+	8.24531i	−0.252025	+	0.775653i	0.742376	+	0.669983i	$0.233699\pi$
$113$	−2.67906	+	8.24531i	−0.252025	+	0.775653i	−0.994401	+	0.105670i	$0.966301\pi$
$114$	−1.05163	−	3.23658i	−0.0984941	−	0.303134i
$115$	−5.31888	+	1.19799i	−0.495988	+	0.111713i
$116$	−0.522425	+	1.60786i	−0.0485059	+	0.149286i
$117$	−5.60409	−	4.07161i	−0.518098	−	0.376421i
$118$	11.0412			1.01643
$119$	2.55523	+	1.85648i	0.234238	+	0.170184i
$120$	−0.104476	+	1.12474i	−0.00953731	+	0.102675i
$121$	5.75774	−	4.18324i	0.523431	−	0.380295i
$122$	−0.717705	+	0.521443i	−0.0649779	+	0.0472092i
$123$	0.391859	+	1.20602i	0.0353327	+	0.108743i
$124$	1.64165			0.147424
$125$	3.06685	−	10.7515i	0.274307	−	0.961642i
$126$	−2.74481			−0.244527
$127$	−0.326014	−	1.00337i	−0.0289291	−	0.0890346i	0.935550	−	0.353196i	$-0.114905\pi$
$127$	−0.326014	−	1.00337i	−0.0289291	−	0.0890346i	−0.964479	+	0.264161i	$0.914905\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	3.35476	−	2.43738i	0.295370	−	0.214599i
$130$	−0.521937	+	5.61895i	−0.0457769	+	0.492814i
$131$	17.3581	+	12.6114i	1.51659	+	1.10186i	0.963148	+	0.268973i	$0.0866843\pi$
$131$	17.3581	+	12.6114i	1.51659	+	1.10186i	0.553438	+	0.832891i	$0.313316\pi$
$132$	−0.995451			−0.0866429
$133$	−5.45009	−	3.95972i	−0.472583	−	0.343352i
$134$	−4.04469	+	12.4483i	−0.349408	+	1.07537i
$135$	−6.33066	+	1.42587i	−0.544856	+	0.122720i
$136$	−0.976011	−	3.00385i	−0.0836923	−	0.257578i
$137$	5.78085	−	17.7916i	0.493891	−	1.52004i	−0.324786	−	0.945788i	$-0.605292\pi$
$137$	5.78085	−	17.7916i	0.493891	−	1.52004i	0.818677	−	0.574254i	$-0.194708\pi$
$138$	0.380624	−	1.17144i	0.0324009	−	0.0997197i
$139$	0.828808	+	2.55081i	0.0702985	+	0.216357i	0.980033	−	0.198833i	$-0.0637152\pi$
$139$	0.828808	+	2.55081i	0.0702985	+	0.216357i	−0.909735	+	0.415190i	$0.863715\pi$
$140$	1.14138	+	1.92283i	0.0964640	+	0.162508i
$141$	0.0797615	−	0.245481i	0.00671713	−	0.0206732i
$142$	5.71939	+	4.15538i	0.479961	+	0.348712i
$143$	−4.97304			−0.415866
$144$	2.22060	+	1.61336i	0.185050	+	0.134446i
$145$	1.92961	+	3.25073i	0.160246	+	0.269959i
$146$	0.639950	−	0.464951i	0.0529627	−	0.0384796i
$147$	0.408688	−	0.296929i	0.0337080	−	0.0244903i
$148$	2.66512	+	8.20239i	0.219071	+	0.674233i
$149$	−16.2569			−1.33182			−0.665909	−	0.746033i	$-0.731956\pi$
$149$	−16.2569			−1.33182			−0.665909	+	0.746033i	$0.731956\pi$
$150$	1.73502	+	1.83562i	0.141664	+	0.149878i
$151$	5.46178			0.444473			0.222237	−	0.974993i	$-0.428664\pi$
$151$	5.46178			0.444473			0.222237	+	0.974993i	$0.428664\pi$
$152$	2.08175	+	6.40697i	0.168852	+	0.519674i
$153$	7.01362	−	5.09569i	0.567017	−	0.411962i
$154$	−1.59420	+	1.15826i	−0.128465	+	0.0933350i
$155$	2.42309	−	2.75748i	0.194627	−	0.221486i
$156$	−1.03140	−	0.749356i	−0.0825781	−	0.0599965i
$157$	7.63722			0.609517			0.304758	−	0.952430i	$-0.401424\pi$
$157$	7.63722			0.609517			0.304758	+	0.952430i	$0.401424\pi$
$158$	−4.34961	−	3.16017i	−0.346036	−	0.251410i
$159$	0.521952	−	1.60640i	0.0413935	−	0.127396i
$160$	0.206815	−	2.22648i	0.0163502	−	0.176019i
$161$	−0.753465	−	2.31893i	−0.0593813	−	0.182757i
$162$	−2.09155	+	6.43712i	−0.164328	+	0.505748i
$163$	−6.35548	+	19.5601i	−0.497799	+	1.53207i	0.314749	+	0.949175i	$0.398080\pi$
$163$	−6.35548	+	19.5601i	−0.497799	+	1.53207i	−0.812548	+	0.582894i	$0.801920\pi$
$164$	−0.775703	−	2.38737i	−0.0605722	−	0.186422i
$165$	−1.46930	+	1.67206i	−0.114385	+	0.130170i
$166$	−1.38510	+	4.26289i	−0.107504	+	0.330865i
$167$	15.8529	+	11.5178i	1.22674	+	0.891277i	0.996641	−	0.0818906i	$-0.0260958\pi$
$167$	15.8529	+	11.5178i	1.22674	+	0.891277i	0.230097	+	0.973168i	$0.426096\pi$
$168$	−0.505166			−0.0389744
$169$	5.36459	+	3.89760i	0.412661	+	0.299816i
$170$	−6.48617	−	2.79432i	−0.497467	−	0.214314i
$171$	−14.9595	+	10.8687i	−1.14398	+	0.831149i
$172$	−6.64092	+	4.82491i	−0.506365	+	0.367896i
$173$	4.80949	+	14.8021i	0.365658	+	1.12538i	0.949568	+	0.313562i	$0.101522\pi$
$173$	4.80949	+	14.8021i	0.365658	+	1.12538i	−0.583909	+	0.811819i	$0.698478\pi$
$174$	−0.854034			−0.0647441
$175$	4.91445	+	0.920942i	0.371498	+	0.0696166i
$176$	1.97054			0.148535
$177$	1.72359	+	5.30466i	0.129553	+	0.398722i
$178$	11.2383	−	8.16510i	0.842346	−	0.612000i
$179$	16.7117	−	12.1418i	1.24909	−	0.907520i	0.250925	−	0.968007i	$-0.419265\pi$
$179$	16.7117	−	12.1418i	1.24909	−	0.907520i	0.998169	+	0.0604870i	$0.0192654\pi$
$180$	5.98758	−	1.34860i	0.446288	−	0.100519i
$181$	−3.32521	−	2.41591i	−0.247161	−	0.179573i	0.457307	−	0.889309i	$-0.348814\pi$
$181$	−3.32521	−	2.41591i	−0.247161	−	0.179573i	−0.704468	+	0.709736i	$0.748814\pi$
$182$	−2.52369			−0.187068
$183$	−0.362560	−	0.263415i	−0.0268012	−	0.0194722i
$184$	−0.753465	+	2.31893i	−0.0555461	+	0.170953i
$185$	17.7113	+	7.63022i	1.30216	+	0.560985i
$186$	0.256269	+	0.788716i	0.0187906	+	0.0578314i
$187$	1.92327	−	5.91923i	0.140644	−	0.432857i
$188$	−0.157892	+	0.485941i	−0.0115154	+	0.0354409i
$189$	−0.896792	−	2.76004i	−0.0652320	−	0.200764i
$190$	13.8345	+	5.96004i	1.00366	+	0.432387i
$191$	4.21259	−	12.9650i	0.304812	−	0.938115i	−0.674935	−	0.737877i	$-0.735828\pi$
$191$	4.21259	−	12.9650i	0.304812	−	0.938115i	0.979747	−	0.200238i	$-0.0641716\pi$
$192$	0.408688	+	0.296929i	0.0294945	+	0.0214290i
$193$	5.34360			0.384641			0.192320	−	0.981332i	$-0.438399\pi$
$193$	5.34360			0.384641			0.192320	+	0.981332i	$0.438399\pi$
$194$	−6.64498	−	4.82786i	−0.477082	−	0.346620i
$195$	−2.78105	+	0.626385i	−0.199155	+	0.0448563i
$196$	−0.809017	+	0.587785i	−0.0577869	+	0.0419847i
$197$	14.2977	−	10.3879i	1.01867	−	0.740104i	0.0526573	−	0.998613i	$-0.483231\pi$
$197$	14.2977	−	10.3879i	1.01867	−	0.740104i	0.966009	+	0.258508i	$0.0832309\pi$
$198$	1.67140	+	5.14404i	0.118781	+	0.365571i
$199$	21.6722			1.53630			0.768150	−	0.640270i	$-0.221177\pi$
$199$	21.6722			1.53630			0.768150	+	0.640270i	$0.221177\pi$
$200$	−3.43456	−	3.63370i	−0.242860	−	0.256942i
$201$	−6.61205			−0.466378
$202$	3.29507	+	10.1412i	0.231840	+	0.713531i
$203$	−1.36773	+	0.993711i	−0.0959955	+	0.0697448i
$204$	1.29081	−	0.937832i	0.0903751	−	0.0656614i
$205$	−5.15501	−	2.22083i	−0.360041	−	0.155110i
$206$	−9.00906	−	6.54546i	−0.627691	−	0.456044i
$207$	−6.69256			−0.465165
$208$	2.04171	+	1.48339i	0.141567	+	0.102854i
$209$	−4.10218	+	12.6252i	−0.283754	+	0.873304i
$210$	−0.745630	+	0.848527i	−0.0514534	+	0.0585539i
$211$	−0.773533	−	2.38069i	−0.0532522	−	0.163893i	0.920893	−	0.389815i	$-0.127461\pi$
$211$	−0.773533	−	2.38069i	−0.0532522	−	0.163893i	−0.974146	+	0.225921i	$0.927461\pi$
$212$	−1.03323	+	3.17995i	−0.0709625	+	0.218400i
$213$	−1.10359	+	3.39651i	−0.0756169	+	0.232725i
$214$	−1.80411	−	5.55249i	−0.123327	−	0.379560i
$215$	−1.69767	+	18.2764i	−0.115780	+	1.24644i
$216$	−0.896792	+	2.76004i	−0.0610190	+	0.187797i
$217$	1.32812	+	0.964937i	0.0901588	+	0.0655042i
$218$	−16.6583			−1.12824
$219$	0.323281	+	0.234877i	0.0218453	+	0.0158715i
$220$	2.90855	−	3.30992i	0.196094	−	0.223155i
$221$	6.44860	−	4.68518i	0.433780	−	0.315160i
$222$	−3.52473	+	2.56087i	−0.236564	+	0.171874i
$223$	−2.58542	−	7.95709i	−0.173132	−	0.532846i	0.826411	−	0.563067i	$-0.190379\pi$
$223$	−2.58542	−	7.95709i	−0.173132	−	0.532846i	−0.999543	+	0.0302211i	$0.990379\pi$
$224$	1.00000			0.0668153
$225$	6.57249	−	12.0479i	0.438166	−	0.803192i
$226$	8.66963			0.576695
$227$	4.14358	+	12.7526i	0.275019	+	0.846421i	0.989214	+	0.146475i	$0.0467928\pi$
$227$	4.14358	+	12.7526i	0.275019	+	0.846421i	−0.714195	+	0.699946i	$0.753207\pi$
$228$	−2.75320	+	2.00032i	−0.182335	+	0.132474i
$229$	19.2408	−	13.9793i	1.27147	−	0.923777i	0.272210	−	0.962238i	$-0.412246\pi$
$229$	19.2408	−	13.9793i	1.27147	−	0.923777i	0.999260	+	0.0384609i	$0.0122455\pi$
$230$	2.78298	+	4.68835i	0.183504	+	0.309141i
$231$	−0.805337	−	0.585112i	−0.0529873	−	0.0384975i
$232$	1.69060			0.110993
$233$	−18.1760	−	13.2056i	−1.19075	−	0.865128i	−0.197404	−	0.980322i	$-0.563251\pi$
$233$	−18.1760	−	13.2056i	−1.19075	−	0.865128i	−0.993343	+	0.115194i	$0.963251\pi$
$234$	−2.14057	+	6.58800i	−0.139934	+	0.430671i
$235$	0.583185	+	0.982465i	0.0380428	+	0.0640889i
$236$	−3.41192	−	10.5008i	−0.222097	−	0.683545i
$237$	0.839283	−	2.58305i	0.0545173	−	0.167787i
$238$	0.976011	−	3.00385i	0.0632654	−	0.194711i
$239$	−0.454691	−	1.39939i	−0.0294115	−	0.0905193i	0.935273	−	0.353927i	$-0.115154\pi$
$239$	−0.454691	−	1.39939i	−0.0294115	−	0.0905193i	−0.964685	+	0.263407i	$0.915154\pi$
$240$	1.10198	−	0.248202i	0.0711324	−	0.0160214i
$241$	−5.62859	+	17.3230i	−0.362569	+	1.11587i	0.588920	+	0.808191i	$0.299553\pi$
$241$	−5.62859	+	17.3230i	−0.362569	+	1.11587i	−0.951489	+	0.307682i	$0.900447\pi$
$242$	−5.75774	−	4.18324i	−0.370121	−	0.268909i
$243$	−12.1254			−0.777845
$244$	0.717705	+	0.521443i	0.0459463	+	0.0333820i
$245$	−0.206815	+	2.22648i	−0.0132129	+	0.142245i
$246$	1.02590	−	0.745359i	0.0654089	−	0.0475224i
$247$	−13.7543	+	9.99311i	−0.875167	+	0.635846i
$248$	−0.507297	−	1.56130i	−0.0322134	−	0.0991427i
$249$	−2.26429			−0.143494
$250$	−11.1730	+	0.405648i	−0.706641	+	0.0256555i
$251$	16.6576			1.05142			0.525708	−	0.850665i	$-0.323800\pi$
$251$	16.6576			1.05142			0.525708	+	0.850665i	$0.323800\pi$
$252$	0.848192	+	2.61047i	0.0534311	+	0.164444i
$253$	−3.88709	+	2.82413i	−0.244379	+	0.177552i
$254$	−0.853517	+	0.620116i	−0.0535544	+	0.0389095i
$255$	0.329981	−	3.55243i	0.0206642	−	0.222462i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−20.1548			−1.25722			−0.628611	−	0.777720i	$-0.716376\pi$
$257$	−20.1548			−1.25722			−0.628611	+	0.777720i	$0.716376\pi$
$258$	−3.35476	−	2.43738i	−0.208858	−	0.151745i
$259$	−2.66512	+	8.20239i	−0.165602	+	0.509672i
$260$	5.50522	−	1.23996i	0.341420	−	0.0768990i
$261$	1.43396	+	4.41326i	0.0887596	+	0.273174i
$262$	6.63021	−	20.4057i	0.409616	−	1.26067i
$263$	−5.29576	+	16.2987i	−0.326550	+	1.00502i	0.644186	+	0.764869i	$0.277196\pi$
$263$	−5.29576	+	16.2987i	−0.326550	+	1.00502i	−0.970736	+	0.240149i	$0.922804\pi$
$264$	0.307611	+	0.946730i	0.0189322	+	0.0582672i
$265$	3.81631	+	6.42916i	0.234434	+	0.394940i
$266$	−2.08175	+	6.40697i	−0.127640	+	0.392836i
$267$	5.67720	+	4.12473i	0.347439	+	0.252429i
$268$	13.0889			0.799530
$269$	−20.4013	−	14.8224i	−1.24389	−	0.903738i	−0.246037	−	0.969260i	$-0.579129\pi$
$269$	−20.4013	−	14.8224i	−1.24389	−	0.903738i	−0.997851	+	0.0655224i	$0.979129\pi$
$270$	3.31237	+	5.58019i	0.201584	+	0.339600i
$271$	4.46565	−	3.24449i	0.271269	−	0.197089i	−0.443831	−	0.896110i	$-0.646381\pi$
$271$	4.46565	−	3.24449i	0.271269	−	0.197089i	0.715100	+	0.699022i	$0.246381\pi$
$272$	−2.55523	+	1.85648i	−0.154934	+	0.112566i
$273$	−0.393960	−	1.21248i	−0.0238435	−	0.0733828i
$274$	−18.7072			−1.13014
$275$	−1.26663	−	9.77096i	−0.0763807	−	0.589211i
$276$	−1.23173			−0.0741412
$277$	−4.35245	−	13.3955i	−0.261513	−	0.804855i	−0.992476	−	0.122438i	$-0.960929\pi$
$277$	−4.35245	−	13.3955i	−0.261513	−	0.804855i	0.730963	−	0.682417i	$-0.239071\pi$
$278$	2.16985	−	1.57649i	0.130139	−	0.0945513i
$279$	3.64544	−	2.64857i	0.218247	−	0.158566i
$280$	1.47601	−	1.67970i	0.0882085	−	0.100381i
$281$	7.17573	+	5.21348i	0.428068	+	0.311010i	0.780876	−	0.624686i	$-0.214773\pi$
$281$	7.17573	+	5.21348i	0.428068	+	0.311010i	−0.352808	+	0.935696i	$0.614773\pi$
$282$	−0.258114			−0.0153704
$283$	−20.6293	−	14.9881i	−1.22628	−	0.890947i	−0.229678	−	0.973267i	$-0.573767\pi$
$283$	−20.6293	−	14.9881i	−1.22628	−	0.890947i	−0.996606	+	0.0823192i	$0.973767\pi$
$284$	2.18461	−	6.72355i	0.129633	−	0.398969i
$285$	−0.703822	+	7.57704i	−0.0416908	+	0.448825i
$286$	1.53675	+	4.72964i	0.0908701	+	0.279669i
$287$	0.775703	−	2.38737i	0.0457883	−	0.140922i
$288$	0.848192	−	2.61047i	0.0499802	−	0.153823i
$289$	−2.17062	−	6.68048i	−0.127683	−	0.392969i
$290$	2.49535	−	2.83970i	0.146532	−	0.166753i
$291$	1.28219	−	3.94617i	0.0751633	−	0.231329i
$292$	−0.639950	−	0.464951i	−0.0374503	−	0.0272092i
$293$	−23.5525			−1.37595			−0.687977	−	0.725732i	$-0.741501\pi$
$293$	−23.5525			−1.37595			−0.687977	+	0.725732i	$0.741501\pi$
$294$	−0.408688	−	0.296929i	−0.0238351	−	0.0173172i
$295$	−22.6743	−	9.76832i	−1.32015	−	0.568734i
$296$	6.97737	−	5.06936i	0.405552	−	0.294650i
$297$	−4.62651	+	3.36135i	−0.268457	+	0.195046i
$298$	5.02366	+	15.4612i	0.291013	+	0.895646i
$299$	−6.15341			−0.355861
$300$	1.20963	−	2.21734i	0.0698379	−	0.128018i
$301$	−8.20862			−0.473137
$302$	−1.68778	−	5.19446i	−0.0971210	−	0.298908i
$303$	−4.35786	+	3.16617i	−0.250353	+	0.181892i
$304$	5.45009	−	3.95972i	0.312584	−	0.227106i
$305$	1.93521	−	0.435873i	0.110810	−	0.0249580i
$306$	−7.01362	−	5.09569i	−0.400942	−	0.291301i
$307$	2.85140			0.162738			0.0813691	−	0.996684i	$-0.474071\pi$
$307$	2.85140			0.162738			0.0813691	+	0.996684i	$0.474071\pi$
$308$	1.59420	+	1.15826i	0.0908382	+	0.0659978i
$309$	1.73835	−	5.35010i	0.0988914	−	0.304357i
$310$	−3.37129	−	1.45239i	−0.191477	−	0.0824902i
$311$	2.80116	+	8.62109i	0.158839	+	0.488857i	0.998530	−	0.0542084i	$-0.0172635\pi$
$311$	2.80116	+	8.62109i	0.158839	+	0.488857i	−0.839690	+	0.543066i	$0.817264\pi$
$312$	−0.393960	+	1.21248i	−0.0223036	+	0.0686434i
$313$	−6.83892	+	21.0480i	−0.386559	+	1.18971i	0.548785	+	0.835964i	$0.315091\pi$
$313$	−6.83892	+	21.0480i	−0.386559	+	1.18971i	−0.935343	+	0.353741i	$0.884909\pi$
$314$	−2.36003	−	7.26343i	−0.133184	−	0.409899i
$315$	5.63674	+	2.42837i	0.317594	+	0.136823i
$316$	−1.66140	+	5.11327i	−0.0934612	+	0.287644i
$317$	−15.6630	−	11.3798i	−0.879723	−	0.639156i	0.0534554	−	0.998570i	$-0.482976\pi$
$317$	−15.6630	−	11.3798i	−0.879723	−	0.639156i	−0.933178	+	0.359414i	$0.882976\pi$
$318$	−1.68907			−0.0947184
$319$	2.69516	+	1.95815i	0.150900	+	0.109635i
$320$	−2.18142	+	0.491328i	−0.121945	+	0.0274661i
$321$	2.38601	−	1.73354i	0.133174	−	0.0967568i
$322$	−1.97260	+	1.43317i	−0.109928	+	0.0798677i
$323$	−6.57508	−	20.2360i	−0.365847	−	1.12596i
$324$	6.76839			0.376022
$325$	6.04301	−	11.0773i	0.335206	−	0.614459i
$326$	20.5668			1.13909
$327$	−2.60044	−	8.00333i	−0.143805	−	0.442585i
$328$	−2.03082	+	1.47547i	−0.112133	+	0.0814695i
$329$	−0.413366	+	0.300328i	−0.0227896	+	0.0165576i
$330$	2.04426	+	0.880690i	0.112533	+	0.0484804i
$331$	17.7611	+	12.9042i	0.976241	+	0.709281i	0.956865	−	0.290532i	$-0.0938322\pi$
$331$	17.7611	+	12.9042i	0.976241	+	0.709281i	0.0193756	+	0.999812i	$0.493832\pi$
$332$	4.48227			0.245997
$333$	19.1515	+	13.9144i	1.04950	+	0.762505i
$334$	6.05529	−	18.6363i	0.331331	−	1.01973i
$335$	19.3193	−	21.9854i	1.05553	−	1.20119i
$336$	0.156105	+	0.480441i	0.00851621	+	0.0262102i
$337$	−7.70995	+	23.7288i	−0.419988	+	1.29259i	0.487725	+	0.872997i	$0.337827\pi$
$337$	−7.70995	+	23.7288i	−0.419988	+	1.29259i	−0.907713	+	0.419592i	$0.862173\pi$
$338$	2.04909	−	6.30646i	0.111456	−	0.343026i
$339$	1.35337	+	4.16525i	0.0735050	+	0.226225i
$340$	−0.653213	+	7.03221i	−0.0354255	+	0.381375i
$341$	0.999652	−	3.07661i	0.0541342	−	0.166608i
$342$	14.9595	+	10.8687i	0.808915	+	0.587711i
$343$	−1.00000			−0.0539949
$344$	6.64092	+	4.82491i	0.358054	+	0.260142i
$345$	−1.81804	+	2.06893i	−0.0978801	+	0.111387i
$346$	12.5914	−	9.14819i	0.676918	−	0.491810i
$347$	−7.39392	+	5.37200i	−0.396927	+	0.288384i	−0.768288	−	0.640104i	$-0.778891\pi$
$347$	−7.39392	+	5.37200i	−0.396927	+	0.288384i	0.371361	+	0.928488i	$0.378891\pi$
$348$	0.263911	+	0.812235i	0.0141471	+	0.0435403i
$349$	−28.6038			−1.53113			−0.765563	−	0.643361i	$-0.777539\pi$
$349$	−28.6038			−1.53113			−0.765563	+	0.643361i	$0.777539\pi$
$350$	−0.642782	−	4.95851i	−0.0343582	−	0.265044i
$351$	−7.32394			−0.390923
$352$	−0.608932	−	1.87410i	−0.0324562	−	0.0998898i
$353$	23.1573	−	16.8247i	1.23254	−	0.895491i	0.235459	−	0.971884i	$-0.424341\pi$
$353$	23.1573	−	16.8247i	1.23254	−	0.895491i	0.997078	+	0.0763936i	$0.0243406\pi$
$354$	4.51241	−	3.27846i	0.239832	−	0.174248i
$355$	−8.06903	−	13.5935i	−0.428260	−	0.721469i
$356$	−11.2383	−	8.16510i	−0.595629	−	0.432750i
$357$	1.59553			0.0844447
$358$	−16.7117	−	12.1418i	−0.883243	−	0.641713i
$359$	−5.92632	+	18.2393i	−0.312779	+	0.962635i	0.663880	+	0.747839i	$0.268909\pi$
$359$	−5.92632	+	18.2393i	−0.312779	+	0.962635i	−0.976659	+	0.214796i	$0.931091\pi$
$360$	−3.13286	−	5.27779i	−0.165116	−	0.278164i
$361$	8.15277	+	25.0917i	0.429093	+	1.32061i
$362$	−1.27012	+	3.90902i	−0.0667559	+	0.205453i
$363$	1.11099	−	3.41928i	0.0583119	−	0.179466i
$364$	0.779862	+	2.40017i	0.0408759	+	0.125803i
$365$	−1.72555	+	0.388651i	−0.0903195	+	0.0203429i
$366$	−0.138486	+	0.426215i	−0.00723875	+	0.0222786i
$367$	0.678608	+	0.493038i	0.0354230	+	0.0257363i	0.605356	−	0.795955i	$-0.293031\pi$
$367$	0.678608	+	0.493038i	0.0354230	+	0.0257363i	−0.569933	+	0.821691i	$0.693031\pi$
$368$	2.43826			0.127103
$369$	−5.57420	−	4.04989i	−0.290181	−	0.210829i
$370$	1.78368	−	19.2023i	0.0927291	−	0.998281i
$371$	−2.70503	+	1.96532i	−0.140438	+	0.102034i
$372$	0.670922	−	0.487453i	0.0347857	−	0.0252733i
$373$	8.86696	+	27.2897i	0.459114	+	1.41301i	0.866237	+	0.499634i	$0.166532\pi$
$373$	8.86696	+	27.2897i	0.459114	+	1.41301i	−0.407123	+	0.913373i	$0.633468\pi$
$374$	−6.22384			−0.321827
$375$	−1.93905	−	5.30463i	−0.100132	−	0.273930i
$376$	0.510948			0.0263502
$377$	1.31844	+	4.05773i	0.0679029	+	0.208984i
$378$	−2.34783	+	1.70580i	−0.120759	+	0.0877369i
$379$	7.61922	−	5.53568i	0.391373	−	0.284349i	−0.374645	−	0.927168i	$-0.622235\pi$
$379$	7.61922	−	5.53568i	0.391373	−	0.284349i	0.766018	+	0.642819i	$0.222235\pi$
$380$	1.39325	−	14.9991i	0.0714722	−	0.769438i
$381$	−0.431167	−	0.313261i	−0.0220894	−	0.0160489i
$382$	−13.6322			−0.697485
$383$	−22.8128	−	16.5745i	−1.16568	−	0.846917i	−0.175195	−	0.984534i	$-0.556056\pi$
$383$	−22.8128	−	16.5745i	−1.16568	−	0.846917i	−0.990486	+	0.137617i	$0.956056\pi$
$384$	0.156105	−	0.480441i	0.00796619	−	0.0245174i
$385$	4.29859	−	0.968184i	0.219076	−	0.0493432i
$386$	−1.65126	−	5.08206i	−0.0840471	−	0.258670i
$387$	−6.96249	+	21.4283i	−0.353923	+	1.08926i
$388$	−2.53816	+	7.81164i	−0.128855	+	0.396576i
$389$	−11.0364	−	33.9666i	−0.559569	−	1.72218i	−0.683560	−	0.729894i	$-0.739569\pi$
$389$	−11.0364	−	33.9666i	−0.559569	−	1.72218i	0.123991	−	0.992283i	$-0.460431\pi$
$390$	1.45512	+	2.45137i	0.0736828	+	0.124130i
$391$	2.37977	−	7.32418i	0.120350	−	0.370400i
$392$	0.809017	+	0.587785i	0.0408615	+	0.0296876i
$393$	10.8387			0.546742
$394$	−14.2977	−	10.3879i	−0.720306	−	0.523333i
$395$	6.13651	+	10.3379i	0.308761	+	0.520156i
$396$	4.37578	−	3.17919i	0.219891	−	0.159760i
$397$	−5.71127	+	4.14948i	−0.286640	+	0.208256i	−0.721809	−	0.692093i	$-0.756689\pi$
$397$	−5.71127	+	4.14948i	−0.286640	+	0.208256i	0.435168	+	0.900349i	$0.356689\pi$
$398$	−6.69707	−	20.6115i	−0.335694	−	1.03316i
$399$	−3.40314			−0.170370
$400$	−2.39452	+	4.38934i	−0.119726	+	0.219467i
$401$	15.9999			0.798997			0.399498	−	0.916734i	$-0.369184\pi$
$401$	15.9999			0.798997			0.399498	+	0.916734i	$0.369184\pi$
$402$	2.04324	+	6.28844i	0.101907	+	0.313639i
$403$	3.35177	−	2.43520i	0.166963	−	0.121306i
$404$	8.62660	−	6.26760i	0.429190	−	0.311825i
$405$	9.99022	−	11.3689i	0.496418	−	0.564923i
$406$	1.36773	+	0.993711i	0.0678791	+	0.0493170i
$407$	16.9950			0.842409
$408$	−1.29081	−	0.937832i	−0.0639048	−	0.0464296i
$409$	−1.75871	+	5.41274i	−0.0869624	+	0.267643i	−0.985076	−	0.172121i	$-0.944938\pi$
$409$	−1.75871	+	5.41274i	−0.0869624	+	0.267643i	0.898113	+	0.439764i	$0.144938\pi$
$410$	−0.519154	+	5.58898i	−0.0256392	+	0.276020i
$411$	−2.92029	−	8.98772i	−0.144047	−	0.443332i
$412$	−3.44115	+	10.5908i	−0.169533	+	0.521770i
$413$	3.41192	−	10.5008i	0.167890	−	0.516712i
$414$	2.06812	+	6.36500i	0.101642	+	0.312823i
$415$	6.61588	−	7.52887i	0.324761	−	0.369578i
$416$	0.779862	−	2.40017i	0.0382359	−	0.117678i
$417$	1.09613	+	0.796387i	0.0536778	+	0.0389992i
$418$	13.2749			0.649298
$419$	7.09564	+	5.15528i	0.346645	+	0.251852i	0.747460	−	0.664307i	$-0.231273\pi$
$419$	7.09564	+	5.15528i	0.346645	+	0.251852i	−0.400815	+	0.916159i	$0.631273\pi$
$420$	1.03741	+	0.446927i	0.0506204	+	0.0218078i
$421$	−22.7559	+	16.5331i	−1.10905	+	0.805774i	−0.982514	−	0.186187i	$-0.940387\pi$
$421$	−22.7559	+	16.5331i	−1.10905	+	0.805774i	−0.126539	+	0.991962i	$0.540387\pi$
$422$	−2.02514	+	1.47135i	−0.0985821	+	0.0716241i
$423$	0.433382	+	1.33381i	0.0210718	+	0.0648523i
$424$	3.34360			0.162380
$425$	10.8479	+	11.4768i	0.526198	+	0.556708i
$426$	3.57130			0.173030
$427$	0.274139	+	0.843712i	0.0132665	+	0.0408301i
$428$	−4.72323	+	3.43163i	−0.228306	+	0.165874i
$429$	−2.03242	+	1.47664i	−0.0981261	+	0.0712928i
$430$	17.9065	−	4.03313i	0.863526	−	0.194495i
$431$	24.0973	+	17.5077i	1.16073	+	0.843318i	0.989870	−	0.141978i	$-0.0453461\pi$
$431$	24.0973	+	17.5077i	1.16073	+	0.843318i	0.170858	+	0.985296i	$0.445346\pi$
$432$	2.90208			0.139626
$433$	−1.09613	−	0.796382i	−0.0526764	−	0.0382717i	0.561135	−	0.827724i	$-0.310365\pi$
$433$	−1.09613	−	0.796382i	−0.0526764	−	0.0382717i	−0.613812	+	0.789452i	$0.710365\pi$
$434$	0.507297	−	1.56130i	0.0243511	−	0.0749449i
$435$	1.75385	+	0.755576i	0.0840905	+	0.0362271i
$436$	5.14770	+	15.8430i	0.246530	+	0.758741i
$437$	−5.07585	+	15.6219i	−0.242811	+	0.747295i
$438$	0.123482	−	0.380040i	0.00590021	−	0.0181590i
$439$	−9.33019	−	28.7154i	−0.445306	−	1.37051i	−0.882148	−	0.470972i	$-0.843903\pi$
$439$	−9.33019	−	28.7154i	−0.445306	−	1.37051i	0.436843	−	0.899538i	$-0.356097\pi$
$440$	−4.04671	−	1.74337i	−0.192919	−	0.0831118i
$441$	−0.848192	+	2.61047i	−0.0403901	+	0.124308i
$442$	−6.44860	−	4.68518i	−0.306729	−	0.222851i
$443$	1.61989			0.0769635			0.0384817	−	0.999259i	$-0.487748\pi$
$443$	1.61989			0.0769635			0.0384817	+	0.999259i	$0.487748\pi$
$444$	3.52473	+	2.56087i	0.167276	+	0.121533i
$445$	−30.3028	+	6.82519i	−1.43649	+	0.323545i
$446$	−6.76871	+	4.91775i	−0.320508	+	0.232862i
$447$	−6.64400	+	4.82715i	−0.314250	+	0.228316i
$448$	−0.309017	−	0.951057i	−0.0145997	−	0.0449332i
$449$	−21.9790			−1.03725			−0.518627	−	0.855001i	$-0.673557\pi$
$449$	−21.9790			−1.03725			−0.518627	+	0.855001i	$0.673557\pi$
$450$	−13.4892	−	2.52781i	−0.635889	−	0.119162i
$451$	−4.94651			−0.232922
$452$	−2.67906	−	8.24531i	−0.126013	−	0.387827i
$453$	2.23216	−	1.62176i	0.104876	−	0.0761970i
$454$	10.8480	−	7.88155i	0.509123	−	0.369900i
$455$	5.18265	+	2.23274i	0.242966	+	0.104673i
$456$	2.75320	+	2.00032i	0.128930	+	0.0936734i
$457$	33.8348			1.58273			0.791363	−	0.611347i	$-0.209372\pi$
$457$	33.8348			1.58273			0.791363	+	0.611347i	$0.209372\pi$
$458$	−19.2408	−	13.9793i	−0.899065	−	0.653209i
$459$	2.83246	−	8.71742i	0.132208	−	0.406894i
$460$	3.59890	−	4.09555i	0.167800	−	0.190956i
$461$	7.87191	+	24.2272i	0.366631	+	1.12837i	0.948953	+	0.315417i	$0.102144\pi$
$461$	7.87191	+	24.2272i	0.366631	+	1.12837i	−0.582322	+	0.812958i	$0.697856\pi$
$462$	−0.307611	+	0.946730i	−0.0143114	+	0.0440459i
$463$	2.72689	−	8.39249i	0.126729	−	0.390032i	−0.867483	−	0.497467i	$-0.834264\pi$
$463$	2.72689	−	8.39249i	0.126729	−	0.390032i	0.994212	+	0.107435i	$0.0342636\pi$
$464$	−0.522425	−	1.60786i	−0.0242530	−	0.0746429i
$465$	0.171513	−	1.84643i	0.00795372	−	0.0856263i
$466$	−6.94260	+	21.3671i	−0.321610	+	0.989813i
$467$	−20.8492	−	15.1478i	−0.964787	−	0.700959i	−0.0105295	−	0.999945i	$-0.503352\pi$
$467$	−20.8492	−	15.1478i	−0.964787	−	0.700959i	−0.954258	+	0.298986i	$0.903352\pi$
$468$	6.92704			0.320202
$469$	10.5891	+	7.69345i	0.488960	+	0.355250i
$470$	0.754166	−	0.858240i	0.0347871	−	0.0395877i
$471$	3.12124	−	2.26771i	0.143819	−	0.104491i
$472$	−8.93253	+	6.48986i	−0.411153	+	0.298720i
$473$	4.99849	+	15.3838i	0.229831	+	0.707347i
$474$	−2.71598			−0.124749
$475$	−23.1376	−	24.4791i	−1.06162	−	1.12318i
$476$	−3.15844			−0.144767
$477$	2.83601	+	8.72836i	0.129852	+	0.399644i
$478$	−1.19040	+	0.864873i	−0.0544475	+	0.0395584i
$479$	−19.5245	+	14.1854i	−0.892097	+	0.648146i	−0.936424	−	0.350871i	$-0.885886\pi$
$479$	−19.5245	+	14.1854i	−0.892097	+	0.648146i	0.0443269	+	0.999017i	$0.485886\pi$
$480$	−0.576584	−	0.971346i	−0.0263174	−	0.0443357i
$481$	17.6087	+	12.7935i	0.802888	+	0.583332i
$482$	18.2145			0.829647
$483$	−0.996488	−	0.723991i	−0.0453418	−	0.0329427i
$484$	−2.19926	+	6.76863i	−0.0999664	+	0.307665i
$485$	9.37486	+	15.7934i	0.425691	+	0.717142i
$486$	3.74695	+	11.5319i	0.169965	+	0.523099i
$487$	−9.65408	+	29.7122i	−0.437468	+	1.34639i	0.453068	+	0.891476i	$0.350329\pi$
$487$	−9.65408	+	29.7122i	−0.437468	+	1.34639i	−0.890536	+	0.454912i	$0.849671\pi$
$488$	0.274139	−	0.843712i	0.0124097	−	0.0381931i
$489$	3.21057	+	9.88111i	0.145187	+	0.446839i
$490$	2.18142	−	0.491328i	0.0985465	−	0.0221959i
$491$	4.90177	−	15.0861i	0.221214	−	0.680826i	−0.777440	−	0.628957i	$-0.783482\pi$
$491$	4.90177	−	15.0861i	0.221214	−	0.680826i	0.998654	−	0.0518690i	$-0.0165178\pi$
$492$	−1.02590	−	0.745359i	−0.0462511	−	0.0336034i
$493$	−5.33966			−0.240486
$494$	13.7543	+	9.99311i	0.618837	+	0.449611i
$495$	1.11862	−	12.0425i	0.0502780	−	0.541271i
$496$	−1.32812	+	0.964937i	−0.0596344	+	0.0433270i
$497$	5.71939	−	4.15538i	0.256550	−	0.186394i
$498$	0.699704	+	2.15347i	0.0313545	+	0.0964992i
$499$	17.9510			0.803595			0.401798	−	0.915728i	$-0.368386\pi$
$499$	17.9510			0.803595			0.401798	+	0.915728i	$0.368386\pi$
$500$	3.83843	+	10.5008i	0.171660	+	0.469609i
$501$	9.89888			0.442249
$502$	−5.14747	−	15.8423i	−0.229743	−	0.707076i
$503$	17.2400	−	12.5256i	0.768692	−	0.558487i	−0.132872	−	0.991133i	$-0.542420\pi$
$503$	17.2400	−	12.5256i	0.768692	−	0.558487i	0.901564	+	0.432646i	$0.142420\pi$
$504$	2.22060	−	1.61336i	0.0989132	−	0.0718647i
$505$	2.20529	−	23.7411i	0.0981339	−	1.05647i
$506$	3.88709	+	2.82413i	0.172802	+	0.125548i
$507$	3.34975			0.148768
$508$	0.853517	+	0.620116i	0.0378687	+	0.0275132i
$509$	−6.26907	+	19.2942i	−0.277872	+	0.855201i	0.710574	+	0.703623i	$0.248435\pi$
$509$	−6.26907	+	19.2942i	−0.277872	+	0.855201i	−0.988445	+	0.151578i	$0.951565\pi$
$510$	−3.48053	+	0.783931i	−0.154121	+	0.0347130i
$511$	−0.244439	−	0.752307i	−0.0108134	−	0.0332801i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−6.04141	+	18.5935i	−0.266735	+	0.820925i
$514$	6.22818	+	19.1684i	0.274713	+	0.845481i
$515$	12.7102	+	21.4122i	0.560076	+	0.943535i
$516$	−1.28141	+	3.94376i	−0.0564107	+	0.173614i
$517$	0.814556	+	0.591810i	0.0358241	+	0.0260278i
$518$	8.62451			0.378939
$519$	6.36074	+	4.62135i	0.279206	+	0.202855i
$520$	−2.88048	−	4.85261i	−0.126317	−	0.212801i
$521$	−8.70264	+	6.32284i	−0.381270	+	0.277009i	−0.761869	−	0.647732i	$-0.775718\pi$
$521$	−8.70264	+	6.32284i	−0.381270	+	0.277009i	0.380599	+	0.924740i	$0.375718\pi$
$522$	3.75414	−	2.72754i	0.164314	−	0.119381i
$523$	−5.28409	−	16.2628i	−0.231057	−	0.711121i	−0.997620	−	0.0689515i	$-0.978035\pi$
$523$	−5.28409	−	16.2628i	−0.231057	−	0.711121i	0.766563	−	0.642169i	$-0.221965\pi$
$524$	−21.4558			−0.937301
$525$	2.28193	−	1.08287i	0.0995916	−	0.0472602i
$526$	17.1374			0.747227
$527$	1.60227	+	4.93127i	0.0697959	+	0.214810i
$528$	0.805337	−	0.585112i	0.0350478	−	0.0254637i
$529$	13.7977	−	10.0246i	0.599899	−	0.435852i
$530$	4.93519	−	5.61624i	0.214371	−	0.243954i
$531$	−24.5181	−	17.8134i	−1.06399	−	0.773037i
$532$	6.73669			0.292072
$533$	−5.12515	−	3.72364i	−0.221995	−	0.161289i
$534$	2.16850	−	6.67395i	0.0938401	−	0.288810i
$535$	−1.20744	+	12.9987i	−0.0522020	+	0.561984i
$536$	−4.04469	−	12.4483i	−0.174704	−	0.537683i
$537$	3.22463	−	9.92439i	0.139153	−	0.428269i
$538$	−7.79260	+	23.9832i	−0.335963	+	1.03399i
$539$	0.608932	+	1.87410i	0.0262285	+	0.0807232i
$540$	4.28350	−	4.87462i	0.184333	−	0.209770i
$541$	10.4420	−	32.1371i	0.448936	−	1.38168i	−0.429173	−	0.903222i	$-0.641195\pi$
$541$	10.4420	−	32.1371i	0.448936	−	1.38168i	0.878109	−	0.478461i	$-0.158805\pi$
$542$	−4.46565	−	3.24449i	−0.191816	−	0.139363i
$543$	−2.07632			−0.0891036
$544$	2.55523	+	1.85648i	0.109555	+	0.0795961i
$545$	34.2095	+	14.7378i	1.46537	+	0.631299i
$546$	−1.03140	+	0.749356i	−0.0441398	+	0.0320695i
$547$	−33.5434	+	24.3707i	−1.43421	+	1.04202i	−0.445000	+	0.895531i	$0.646796\pi$
$547$	−33.5434	+	24.3707i	−1.43421	+	1.04202i	−0.989213	+	0.146485i	$0.953204\pi$
$548$	5.78085	+	17.7916i	0.246946	+	0.760021i
$549$	2.43501			0.103924
$550$	−8.90133	+	4.22403i	−0.379554	+	0.180113i
$551$	11.3891			0.485190
$552$	0.380624	+	1.17144i	0.0162005	+	0.0498599i
$553$	−4.34961	+	3.16017i	−0.184964	+	0.134384i
$554$	−11.3949	+	8.27885i	−0.484121	+	0.351734i
$555$	9.50402	−	2.14062i	0.403423	−	0.0908643i
$556$	−2.16985	−	1.57649i	−0.0920220	−	0.0668579i
$557$	−24.9269			−1.05619			−0.528094	−	0.849186i	$-0.677093\pi$
$557$	−24.9269			−1.05619			−0.528094	+	0.849186i	$0.677093\pi$
$558$	−3.64544	−	2.64857i	−0.154324	−	0.112123i
$559$	−6.40160	+	19.7021i	−0.270759	+	0.833310i
$560$	−2.05360	−	0.884714i	−0.0867805	−	0.0373860i
$561$	−0.971572	−	2.99019i	−0.0410198	−	0.126246i
$562$	2.74089	−	8.43558i	0.115617	−	0.355833i
$563$	−0.347403	+	1.06920i	−0.0146413	+	0.0450613i	−0.958110	−	0.286400i	$-0.907541\pi$
$563$	−0.347403	+	1.06920i	−0.0146413	+	0.0450613i	0.943469	+	0.331461i	$0.107541\pi$
$564$	0.0797615	+	0.245481i	0.00335856	+	0.0103366i
$565$	−17.8040	−	7.67015i	−0.749019	−	0.322685i
$566$	−7.87969	+	24.2512i	−0.331208	+	1.01935i
$567$	5.47574	+	3.97836i	0.229960	+	0.167075i
$568$	−7.06956			−0.296632
$569$	−2.26805	−	1.64783i	−0.0950815	−	0.0690807i	0.539229	−	0.842159i	$-0.318716\pi$
$569$	−2.26805	−	1.64783i	−0.0950815	−	0.0690807i	−0.634310	+	0.773079i	$0.718716\pi$
$570$	7.42369	−	1.67206i	0.310944	−	0.0700349i
$571$	22.8476	−	16.5997i	0.956141	−	0.694677i	0.00388994	−	0.999992i	$-0.498762\pi$
$571$	22.8476	−	16.5997i	0.956141	−	0.694677i	0.952251	+	0.305315i	$0.0987618\pi$
$572$	4.02327	−	2.92308i	0.168221	−	0.122220i
$573$	−2.12806	−	6.54948i	−0.0889008	−	0.273608i
$574$	−2.51023			−0.104775
$575$	−1.56727	−	12.0902i	−0.0653598	−	0.504194i
$576$	−2.74481			−0.114367
$577$	8.34390	+	25.6799i	0.347361	+	1.06907i	0.960308	+	0.278943i	$0.0899841\pi$
$577$	8.34390	+	25.6799i	0.347361	+	1.06907i	−0.612946	+	0.790124i	$0.710016\pi$
$578$	−5.68275	+	4.12876i	−0.236371	+	0.171734i
$579$	2.18386	−	1.58667i	0.0907582	−	0.0659397i
$580$	−3.47182	−	1.49570i	−0.144160	−	0.0621055i
$581$	3.62623	+	2.63461i	0.150442	+	0.109302i
$582$	−4.14925			−0.171992
$583$	5.33038	+	3.87275i	0.220762	+	0.160393i
$584$	−0.244439	+	0.752307i	−0.0101150	+	0.0311307i
$585$	10.2244	−	11.6353i	0.422726	−	0.481062i
$586$	7.27814	+	22.3998i	0.300657	+	0.925327i
$587$	3.33566	−	10.2661i	0.137678	−	0.423728i	−0.858319	−	0.513116i	$-0.828491\pi$
$587$	3.33566	−	10.2661i	0.137678	−	0.423728i	0.995997	+	0.0893880i	$0.0284911\pi$
$588$	−0.156105	+	0.480441i	−0.00643765	+	0.0198131i
$589$	−3.41750	−	10.5180i	−0.140816	−	0.433386i
$590$	−2.28349	+	24.5831i	−0.0940099	+	1.01207i
$591$	2.75882	−	8.49078i	0.113483	−	0.349264i
$592$	−6.97737	−	5.06936i	−0.286768	−	0.208349i
$593$	18.2399			0.749023			0.374512	−	0.927222i	$-0.377810\pi$
$593$	18.2399			0.749023			0.374512	+	0.927222i	$0.377810\pi$
$594$	4.62651	+	3.36135i	0.189828	+	0.137918i
$595$	−4.66189	+	5.30523i	−0.191119	+	0.217493i
$596$	13.1521	−	9.55558i	0.538732	−	0.391412i
$597$	8.85715	−	6.43510i	0.362499	−	0.263371i
$598$	1.90151	+	5.85224i	0.0777585	+	0.239316i
$599$	21.4010			0.874421			0.437210	−	0.899359i	$-0.355967\pi$
$599$	21.4010			0.874421			0.437210	+	0.899359i	$0.355967\pi$
$600$	−2.48261	−	0.465228i	−0.101352	−	0.0189929i
$601$	−47.4064			−1.93375			−0.966874	−	0.255256i	$-0.917840\pi$
$601$	−47.4064			−1.93375			−0.966874	+	0.255256i	$0.917840\pi$
$602$	2.53660	+	7.80687i	0.103384	+	0.318184i
$603$	29.0651	−	21.1170i	1.18362	−	0.859952i
$604$	−4.41867	+	3.21035i	−0.179793	+	0.130627i
$605$	8.12313	+	13.6847i	0.330252	+	0.556361i
$606$	4.35786	+	3.16617i	0.177026	+	0.128617i
$607$	−28.9373			−1.17453			−0.587264	−	0.809396i	$-0.699795\pi$
$607$	−28.9373			−1.17453			−0.587264	+	0.809396i	$0.699795\pi$
$608$	−5.45009	−	3.95972i	−0.221030	−	0.160588i
$609$	−0.263911	+	0.812235i	−0.0106942	+	0.0329134i
$610$	−1.01255	−	1.70580i	−0.0409970	−	0.0690658i
$611$	0.398469	+	1.22636i	0.0161203	+	0.0496133i
$612$	−2.67896	+	8.24500i	−0.108291	+	0.333284i
$613$	−9.64491	+	29.6840i	−0.389554	+	1.19892i	0.543568	+	0.839365i	$0.317073\pi$
$613$	−9.64491	+	29.6840i	−0.389554	+	1.19892i	−0.933122	+	0.359560i	$0.882927\pi$
$614$	−0.881132	−	2.71185i	−0.0355596	−	0.109441i
$615$	−2.76622	+	0.623044i	−0.111545	+	0.0251236i
$616$	0.608932	−	1.87410i	0.0245346	−	0.0755096i
$617$	30.2601	+	21.9853i	1.21823	+	0.885093i	0.995952	−	0.0898907i	$-0.0286518\pi$
$617$	30.2601	+	21.9853i	1.21823	+	0.885093i	0.222275	+	0.974984i	$0.428652\pi$
$618$	−5.62543			−0.226288
$619$	29.2010	+	21.2158i	1.17369	+	0.852733i	0.991446	−	0.130521i	$-0.0416649\pi$
$619$	29.2010	+	21.2158i	1.17369	+	0.852733i	0.182241	+	0.983254i	$0.441665\pi$
$620$	−0.339518	+	3.65510i	−0.0136354	+	0.146793i
$621$	−5.72463	+	4.15919i	−0.229722	+	0.166902i
$622$	7.33354	−	5.32813i	0.294048	−	0.213638i
$623$	−4.29265	−	13.2114i	−0.171981	−	0.529304i
$624$	1.27488			0.0510361
$625$	23.3037	+	9.05185i	0.932149	+	0.362074i
$626$	22.1312			0.884541
$627$	2.07228	+	6.37783i	0.0827589	+	0.254706i
$628$	−6.17864	+	4.48905i	−0.246555	+	0.179132i
$629$	−22.0376	+	16.0113i	−0.878697	+	0.638410i
$630$	0.567668	−	6.11127i	0.0226164	−	0.243479i
$631$	−13.5844	−	9.86967i	−0.540788	−	0.392906i	0.283590	−	0.958946i	$-0.408475\pi$
$631$	−13.5844	−	9.86967i	−0.540788	−	0.392906i	−0.824378	+	0.566040i	$0.808475\pi$
$632$	5.37641			0.213862
$633$	−1.02303	−	0.743274i	−0.0406618	−	0.0295425i
$634$	−5.98274	+	18.4130i	−0.237605	+	0.731273i
$635$	2.30141	−	0.518353i	0.0913286	−	0.0205702i
$636$	0.521952	+	1.60640i	0.0206967	+	0.0636980i
$637$	−0.779862	+	2.40017i	−0.0308993	+	0.0950982i
$638$	1.02946	−	3.16835i	0.0407567	−	0.125436i
$639$	−5.99634	−	18.4548i	−0.237212	−	0.730062i
$640$	1.14138	+	1.92283i	0.0451169	+	0.0760064i
$641$	9.25389	−	28.4805i	0.365507	−	1.12491i	−0.584157	−	0.811641i	$-0.698575\pi$
$641$	9.25389	−	28.4805i	0.365507	−	1.12491i	0.949663	−	0.313273i	$-0.101425\pi$
$642$	−2.38601	−	1.73354i	−0.0941685	−	0.0684174i
$643$	−41.5478			−1.63849			−0.819243	−	0.573447i	$-0.805606\pi$
$643$	−41.5478			−1.63849			−0.819243	+	0.573447i	$0.805606\pi$
$644$	1.97260	+	1.43317i	0.0777312	+	0.0564750i
$645$	4.73297	+	7.97341i	0.186360	+	0.313953i
$646$	−17.2138	+	12.5065i	−0.677267	+	0.492063i
$647$	22.5302	−	16.3691i	0.885752	−	0.643536i	−0.0490150	−	0.998798i	$-0.515608\pi$
$647$	22.5302	−	16.3691i	0.885752	−	0.643536i	0.934767	+	0.355262i	$0.115608\pi$
$648$	−2.09155	−	6.43712i	−0.0821638	−	0.252874i
$649$	−21.7572			−0.854045
$650$	−12.4025	−	2.32417i	−0.486468	−	0.0911614i
$651$	0.829305			0.0325030
$652$	−6.35548	−	19.5601i	−0.248900	−	0.766034i
$653$	6.09925	−	4.43137i	0.238682	−	0.173413i	−0.462014	−	0.886873i	$-0.652873\pi$
$653$	6.09925	−	4.43137i	0.238682	−	0.173413i	0.700696	+	0.713460i	$0.252873\pi$
$654$	−6.80804	+	4.94633i	−0.266215	+	0.193417i
$655$	−31.6690	+	36.0393i	−1.23741	+	1.40817i
$656$	2.03082	+	1.47547i	0.0792901	+	0.0576076i
$657$	−2.17120			−0.0847067
$658$	0.413366	+	0.300328i	0.0161147	+	0.0117080i
$659$	4.08774	−	12.5808i	0.159236	−	0.490077i	−0.839330	−	0.543623i	$-0.817052\pi$
$659$	4.08774	−	12.5808i	0.159236	−	0.490077i	0.998565	+	0.0535457i	$0.0170523\pi$
$660$	0.205875	−	2.21636i	0.00801366	−	0.0862715i
$661$	−6.51920	−	20.0640i	−0.253567	−	0.780400i	−0.994109	−	0.108389i	$-0.965431\pi$
$661$	−6.51920	−	20.0640i	−0.253567	−	0.780400i	0.740541	−	0.672011i	$-0.234569\pi$
$662$	6.78415	−	20.8795i	0.263674	−	0.811504i
$663$	1.24430	−	3.82955i	0.0483245	−	0.148728i
$664$	−1.38510	−	4.26289i	−0.0537522	−	0.165432i
$665$	9.94342	−	11.3156i	0.385589	−	0.438800i
$666$	7.31524	−	22.5140i	0.283460	−	0.872399i
$667$	3.33487	+	2.42293i	0.129127	+	0.0938161i
$668$	−19.5953			−0.758166
$669$	−3.41932	−	2.48428i	−0.132198	−	0.0960478i
$670$	−26.8793	−	11.5799i	−1.03844	−	0.447371i
$671$	1.41427	−	1.02753i	0.0545972	−	0.0396672i
$672$	0.408688	−	0.296929i	0.0157655	−	0.0114543i
$673$	−4.74412	−	14.6009i	−0.182873	−	0.562824i	0.817033	−	0.576591i	$-0.195618\pi$
$673$	−4.74412	−	14.6009i	−0.182873	−	0.562824i	−0.999905	+	0.0137675i	$0.995618\pi$
$674$	24.9499			0.961035
$675$	−1.86541	−	14.3900i	−0.0717995	−	0.553871i
$676$	−6.63100			−0.255038
$677$	−12.6698	−	38.9938i	−0.486941	−	1.49865i	−0.829149	−	0.559027i	$-0.811175\pi$
$677$	−12.6698	−	38.9938i	−0.486941	−	1.49865i	0.342208	−	0.939624i	$-0.388825\pi$
$678$	3.54317	−	2.57426i	0.136075	−	0.0988640i
$679$	−6.64498	+	4.82786i	−0.255011	+	0.185276i
$680$	6.88988	−	1.55183i	0.264215	−	0.0595099i
$681$	5.48005	+	3.98149i	0.209996	+	0.152571i
$682$	−3.23494			−0.123872
$683$	11.1937	+	8.13267i	0.428314	+	0.311188i	0.780974	−	0.624563i	$-0.214723\pi$
$683$	11.1937	+	8.13267i	0.428314	+	0.311188i	−0.352661	+	0.935751i	$0.614723\pi$
$684$	5.71400	−	17.5859i	0.218480	−	0.672414i
$685$	38.4172	+	16.5505i	1.46785	+	0.632364i
$686$	0.309017	+	0.951057i	0.0117983	+	0.0363115i
$687$	3.71264	−	11.4263i	0.141646	−	0.435941i
$688$	2.53660	−	7.80687i	0.0967071	−	0.297634i
$689$	2.60755	+	8.02520i	0.0993396	+	0.305736i
$690$	2.52948	+	1.08973i	0.0962955	+	0.0414852i
$691$	14.5198	−	44.6873i	0.552359	−	1.69998i	−0.150460	−	0.988616i	$-0.548076\pi$
$691$	14.5198	−	44.6873i	0.552359	−	1.69998i	0.702819	−	0.711369i	$-0.251924\pi$
$692$	−12.5914	−	9.14819i	−0.478653	−	0.347762i
$693$	5.40876			0.205462
$694$	7.39392	+	5.37200i	0.280670	+	0.203918i
$695$	−5.85074	+	1.31778i	−0.221931	+	0.0499863i
$696$	0.690928	−	0.501989i	0.0261896	−	0.0190278i
$697$	6.41421	−	4.66020i	0.242956	−	0.176518i
$698$	8.83906	+	27.2038i	0.334563	+	1.02968i
$699$	−11.3494			−0.429274
$700$	−4.51719	+	2.14359i	−0.170734	+	0.0810200i
$701$	−25.5007			−0.963146			−0.481573	−	0.876406i	$-0.659934\pi$
$701$	−25.5007			−0.963146			−0.481573	+	0.876406i	$0.659934\pi$
$702$	2.26322	+	6.96548i	0.0854198	+	0.262895i
$703$	47.0044	−	34.1507i	1.77280	−	1.28802i
$704$	−1.59420	+	1.15826i	−0.0600838	+	0.0436534i
$705$	0.530063	+	0.228357i	0.0199633	+	0.00860041i
$706$	−23.1573	−	16.8247i	−0.871535	−	0.633207i
$707$	10.6631			0.401026
$708$	−4.51241	−	3.27846i	−0.169587	−	0.123212i
$709$	8.18980	−	25.2056i	0.307575	−	0.946617i	−0.671129	−	0.741340i	$-0.734191\pi$
$709$	8.18980	−	25.2056i	0.307575	−	0.946617i	0.978704	−	0.205277i	$-0.0658095\pi$
$710$	−10.4347	+	11.8747i	−0.391609	+	0.445651i
$711$	4.56023	+	14.0349i	0.171022	+	0.526351i
$712$	−4.29265	+	13.2114i	−0.160874	+	0.495119i
$713$	1.23692	−	3.80686i	0.0463232	−	0.142568i
$714$	−0.493047	−	1.51744i	−0.0184518	−	0.0567889i
$715$	1.02850	−	11.0724i	0.0384637	−	0.414084i
$716$	−6.38331	+	19.6458i	−0.238556	+	0.734199i
$717$	−0.601347	−	0.436904i	−0.0224577	−	0.0163165i
$718$	19.1780			0.715715
$719$	−17.3525	−	12.6074i	−0.647141	−	0.470175i	0.215155	−	0.976580i	$-0.430974\pi$
$719$	−17.3525	−	12.6074i	−0.647141	−	0.470175i	−0.862296	+	0.506405i	$0.830974\pi$
$720$	−4.05137	+	4.61045i	−0.150986	+	0.171821i
$721$	−9.00906	+	6.54546i	−0.335515	+	0.243766i
$722$	21.3442	−	15.5075i	0.794350	−	0.577129i
$723$	2.84337	+	8.75099i	0.105746	+	0.325453i
$724$	4.11019			0.152754
$725$	−7.63677	+	3.62395i	−0.283623	+	0.134590i
$726$	−3.59524			−0.133432
$727$	−5.29667	−	16.3015i	−0.196443	−	0.604588i	−0.999957	−	0.00930239i	$-0.997039\pi$
$727$	−5.29667	−	16.3015i	−0.196443	−	0.604588i	0.803514	−	0.595286i	$-0.202961\pi$
$728$	2.04171	−	1.48339i	0.0756707	−	0.0549780i
$729$	11.4717	−	8.33470i	0.424879	−	0.308693i
$730$	0.902854	+	1.52100i	0.0334161	+	0.0562946i
$731$	−20.9749	−	15.2392i	−0.775786	−	0.563641i
$732$	0.448149			0.0165640
$733$	9.07844	+	6.59587i	0.335320	+	0.243624i	0.742684	−	0.669642i	$-0.233552\pi$
$733$	9.07844	+	6.59587i	0.335320	+	0.243624i	−0.407365	+	0.913266i	$0.633552\pi$
$734$	0.259205	−	0.797751i	0.00956744	−	0.0294455i
$735$	0.576584	+	0.971346i	0.0212676	+	0.0358286i
$736$	−0.753465	−	2.31893i	−0.0277731	−	0.0854767i
$737$	7.97023	−	24.5299i	0.293587	−	0.903569i
$738$	−2.12916	+	6.55287i	−0.0783753	+	0.241214i
$739$	−13.5664	−	41.7531i	−0.499048	−	1.53591i	−0.810551	−	0.585668i	$-0.800832\pi$
$739$	−13.5664	−	41.7531i	−0.499048	−	1.53591i	0.311503	−	0.950245i	$-0.399168\pi$
$740$	−18.8137	+	4.23746i	−0.691605	+	0.155772i
$741$	−2.65398	+	8.16812i	−0.0974965	+	0.300063i
$742$	2.70503	+	1.96532i	0.0993047	+	0.0721491i
$743$	25.6937			0.942611			0.471306	−	0.881970i	$-0.343783\pi$
$743$	25.6937			0.942611			0.471306	+	0.881970i	$0.343783\pi$
$744$	−0.670922	−	0.487453i	−0.0245972	−	0.0178709i
$745$	3.36218	−	36.1958i	0.123181	−	1.32611i
$746$	23.2140	−	16.8660i	0.849925	−	0.617507i
$747$	9.95331	−	7.23151i	0.364173	−	0.264587i
$748$	1.92327	+	5.91923i	0.0703218	+	0.216428i
$749$	−5.83823			−0.213324
$750$	−4.44581	+	3.48336i	−0.162338	+	0.127194i
$751$	−17.7380			−0.647268			−0.323634	−	0.946182i	$-0.604905\pi$
$751$	−17.7380			−0.647268			−0.323634	+	0.946182i	$0.604905\pi$
$752$	−0.157892	−	0.485941i	−0.00575772	−	0.0177204i
$753$	6.80774	−	4.94611i	0.248088	−	0.180246i
$754$	3.45171	−	2.50782i	0.125704	−	0.0913293i
$755$	−1.12958	+	12.1606i	−0.0411096	+	0.442568i
$756$	2.34783	+	1.70580i	0.0853898	+	0.0620393i
$757$	−21.7757			−0.791451			−0.395726	−	0.918369i	$-0.629507\pi$
$757$	−21.7757			−0.791451			−0.395726	+	0.918369i	$0.629507\pi$
$758$	−7.61922	−	5.53568i	−0.276742	−	0.201065i
$759$	−0.750037	+	2.30838i	−0.0272246	+	0.0837888i
$760$	−14.6955	+	3.30992i	−0.533063	+	0.120064i
$761$	1.55951	+	4.79967i	0.0565321	+	0.173988i	0.975336	−	0.220728i	$-0.0708432\pi$
$761$	1.55951	+	4.79967i	0.0565321	+	0.173988i	−0.918803	+	0.394715i	$0.870843\pi$
$762$	−0.164691	+	0.506868i	−0.00596613	+	0.0183619i
$763$	−5.14770	+	15.8430i	−0.186359	+	0.573554i
$764$	4.21259	+	12.9650i	0.152406	+	0.469058i
$765$	9.89494	+	16.6696i	0.357752	+	0.602689i
$766$	−8.71372	+	26.8181i	−0.314840	+	0.968977i
$767$	−22.5429	−	16.3784i	−0.813978	−	0.591389i
$768$	−0.505166			−0.0182286
$769$	16.8858	+	12.2683i	0.608918	+	0.442405i	0.849033	−	0.528340i	$-0.177185\pi$
$769$	16.8858	+	12.2683i	0.608918	+	0.442405i	−0.240115	+	0.970744i	$0.577185\pi$
$770$	−2.24913	−	3.78901i	−0.0810531	−	0.136547i
$771$	−8.23702	+	5.98455i	−0.296649	+	0.215528i
$772$	−4.32306	+	3.14089i	−0.155590	+	0.113043i
$773$	−0.465339	−	1.43216i	−0.0167371	−	0.0515114i	0.942339	−	0.334659i	$-0.108621\pi$
$773$	−0.465339	−	1.43216i	−0.0167371	−	0.0515114i	−0.959076	+	0.283148i	$0.908621\pi$
$774$	22.5311			0.809864
$775$	5.63834	+	5.96526i	0.202535	+	0.214279i
$776$	8.21364			0.294853
$777$	1.34633	+	4.14357i	0.0482992	+	0.148650i
$778$	−28.8938	+	20.9925i	−1.03589	+	0.752619i
$779$	−13.6810	+	9.93981i	−0.490172	+	0.356131i
$780$	1.88174	−	2.14142i	0.0673770	−	0.0766750i
$781$	−11.2703	−	8.18836i	−0.403284	−	0.293003i
$782$	−7.70110			−0.275391
$783$	3.96925	+	2.88383i	0.141849	+	0.103060i
$784$	0.309017	−	0.951057i	0.0110363	−	0.0339663i
$785$	−1.57949	+	17.0041i	−0.0563746	+	0.606904i
$786$	−3.34935	−	10.3083i	−0.119468	−	0.367683i
$787$	−0.845269	+	2.60147i	−0.0301306	+	0.0927324i	−0.964991	−	0.262283i	$-0.915524\pi$
$787$	−0.845269	+	2.60147i	−0.0301306	+	0.0927324i	0.934860	+	0.355016i	$0.115524\pi$
$788$	−5.46122	+	16.8079i	−0.194548	+	0.598757i
$789$	2.67523	+	8.23353i	0.0952409	+	0.293121i
$790$	7.93564	−	9.03076i	0.282337	−	0.321300i
$791$	2.67906	−	8.24531i	0.0952565	−	0.293169i
$792$	−4.37578	−	3.17919i	−0.155487	−	0.112968i
$793$	2.23884			0.0795037
$794$	5.71127	+	4.14948i	0.202685	+	0.147260i
$795$	3.46868	+	1.49435i	0.123021	+	0.0529990i
$796$	−17.5332	+	12.7386i	−0.621447	+	0.451507i
$797$	6.02595	−	4.37811i	0.213450	−	0.155081i	−0.475923	−	0.879487i	$-0.657886\pi$
$797$	6.02595	−	4.37811i	0.213450	−	0.155081i	0.689373	+	0.724406i	$0.257886\pi$
$798$	1.05163	+	3.23658i	0.0372273	+	0.114574i
$799$	−1.61380			−0.0570921
$800$	4.91445	+	0.920942i	0.173752	+	0.0325602i
$801$	−38.1289			−1.34722
$802$	−4.94424	−	15.2168i	−0.174587	−	0.537324i
$803$	−1.26105	+	0.916207i	−0.0445015	+	0.0323322i
$804$	5.34926	−	3.88647i	0.188654	−	0.137065i
$805$	5.31888	−	1.19799i	0.187466	−	0.0422235i
$806$	−3.35177	−	2.43520i	−0.118061	−	0.0857763i
$807$	−12.7390			−0.448432
$808$	−8.62660	−	6.26760i	−0.303483	−	0.220493i
$809$	−8.55465	+	26.3285i	−0.300765	+	0.925661i	0.680458	+	0.732787i	$0.261781\pi$
$809$	−8.55465	+	26.3285i	−0.300765	+	0.925661i	−0.981224	+	0.192874i	$0.938219\pi$
$810$	−13.8996	−	5.98809i	−0.488382	−	0.210400i
$811$	−6.52490	−	20.0816i	−0.229120	−	0.705160i	−0.997847	−	0.0655824i	$-0.979109\pi$
$811$	−6.52490	−	20.0816i	−0.229120	−	0.705160i	0.768727	−	0.639577i	$-0.220891\pi$
$812$	0.522425	−	1.60786i	0.0183335	−	0.0564247i
$813$	0.861675	−	2.65196i	0.0302203	−	0.0930084i
$814$	−5.25173	−	16.1632i	−0.184073	−	0.566519i
$815$	−42.2359	−	18.1957i	−1.47946	−	0.637368i
$816$	−0.493047	+	1.51744i	−0.0172601	+	0.0531212i
$817$	44.7378	+	32.5039i	1.56518	+	1.13717i
$818$	5.69129			0.198991
$819$	5.60409	+	4.07161i	0.195823	+	0.142274i
$820$	5.47586	−	1.23335i	0.191225	−	0.0430703i
$821$	−30.6369	+	22.2590i	−1.06924	+	0.776846i	−0.975775	−	0.218777i	$-0.929793\pi$
$821$	−30.6369	+	22.2590i	−1.06924	+	0.776846i	−0.0934618	+	0.995623i	$0.529793\pi$
$822$	−7.64541	+	5.55472i	−0.266664	+	0.193743i
$823$	−3.05107	−	9.39022i	−0.106354	−	0.327323i	0.883692	−	0.468069i	$-0.155050\pi$
$823$	−3.05107	−	9.39022i	−0.106354	−	0.327323i	−0.990046	+	0.140746i	$0.955050\pi$
$824$	11.1358			0.387934
$825$	−3.41894	−	3.61717i	−0.119032	−	0.125934i
$826$	−11.0412			−0.384173
$827$	6.99275	+	21.5215i	0.243162	+	0.748375i	0.995933	+	0.0900929i	$0.0287164\pi$
$827$	6.99275	+	21.5215i	0.243162	+	0.748375i	−0.752772	+	0.658282i	$0.771284\pi$
$828$	5.41440	−	3.93379i	0.188163	−	0.136709i
$829$	9.94779	−	7.22749i	0.345501	−	0.251021i	−0.401478	−	0.915869i	$-0.631503\pi$
$829$	9.94779	−	7.22749i	0.345501	−	0.251021i	0.746979	+	0.664847i	$0.231503\pi$
$830$	−9.20480	−	3.96553i	−0.319503	−	0.137646i
$831$	−5.75629	−	4.18219i	−0.199683	−	0.145079i
$832$	−2.52369			−0.0874931
$833$	−2.55523	−	1.85648i	−0.0885335	−	0.0643233i
$834$	0.418685	−	1.28858i	0.0144979	−	0.0446199i
$835$	−28.9229	+	32.9143i	−1.00092	+	1.13904i
$836$	−4.10218	−	12.6252i	−0.141877	−	0.436652i
$837$	1.47222	−	4.53102i	0.0508873	−	0.156615i
$838$	2.71029	−	8.34142i	0.0936255	−	0.288150i
$839$	9.69624	+	29.8420i	0.334751	+	1.03026i	0.966844	+	0.255366i	$0.0821960\pi$
$839$	9.69624	+	29.8420i	0.334751	+	1.03026i	−0.632093	+	0.774892i	$0.717804\pi$
$840$	0.104476	−	1.12474i	0.00360476	−	0.0388073i
$841$	−8.07828	+	24.8624i	−0.278561	+	0.857324i
$842$	22.7559	+	16.5331i	0.784219	+	0.569768i
$843$	4.48067			0.154322
$844$	2.02514	+	1.47135i	0.0697081	+	0.0506459i
$845$	−9.78743	+	11.1381i	−0.336698	+	0.383162i
$846$	1.13461	−	0.824342i	0.0390087	−	0.0283415i
$847$	−5.75774	+	4.18324i	−0.197838	+	0.143738i
$848$	−1.03323	−	3.17995i	−0.0354812	−	0.109200i
$849$	−12.8813			−0.442086
$850$	7.56294	−	13.8635i	0.259407	−	0.475512i
$851$	21.0288			0.720858
$852$	−1.10359	−	3.39651i	−0.0378084	−	0.116362i
$853$	−7.55834	+	5.49145i	−0.258793	+	0.188024i	−0.709615	−	0.704590i	$-0.751131\pi$
$853$	−7.55834	+	5.49145i	−0.258793	+	0.188024i	0.450822	+	0.892614i	$0.351131\pi$
$854$	0.717705	−	0.521443i	0.0245593	−	0.0178434i
$855$	−21.1051	−	35.5548i	−0.721779	−	1.21595i
$856$	4.72323	+	3.43163i	0.161437	+	0.117291i
$857$	4.87047			0.166372			0.0831860	−	0.996534i	$-0.473490\pi$
$857$	4.87047			0.166372			0.0831860	+	0.996534i	$0.473490\pi$
$858$	2.03242	+	1.47664i	0.0693856	+	0.0504116i
$859$	2.35625	−	7.25180i	0.0803944	−	0.247428i	−0.902779	−	0.430106i	$-0.858476\pi$
$859$	2.35625	−	7.25180i	0.0803944	−	0.247428i	0.983173	+	0.182677i	$0.0584763\pi$
$860$	−9.36913	−	15.7838i	−0.319485	−	0.538222i
$861$	−0.391859	−	1.20602i	−0.0133545	−	0.0411009i
$862$	9.20436	−	28.3281i	0.313502	−	0.964859i
$863$	6.02581	−	18.5455i	0.205121	−	0.631298i	−0.794587	−	0.607150i	$-0.792313\pi$
$863$	6.02581	−	18.5455i	0.205121	−	0.631298i	0.999708	−	0.0241479i	$-0.00768725\pi$
$864$	−0.896792	−	2.76004i	−0.0305095	−	0.0938985i
$865$	−33.9513	+	7.64694i	−1.15438	+	0.260004i
$866$	−0.418683	+	1.28857i	−0.0142274	+	0.0437875i
$867$	−2.87073	−	2.08571i	−0.0974952	−	0.0708344i
$868$	−1.64165			−0.0557212
$869$	8.57109	+	6.22726i	0.290754	+	0.211245i
$870$	0.176627	−	1.90149i	0.00598823	−	0.0644666i
$871$	26.7236	−	19.4159i	0.905496	−	0.657881i
$872$	13.4768	−	9.79150i	0.456384	−	0.331582i
$873$	6.96675	+	21.4415i	0.235789	+	0.725683i
$874$	16.4258			0.555611
$875$	−3.06685	+	10.7515i	−0.103678	+	0.363467i
$876$	−0.399597			−0.0135011
$877$	−17.8207	−	54.8464i	−0.601761	−	1.85203i	−0.517684	−	0.855572i	$-0.673206\pi$
$877$	−17.8207	−	54.8464i	−0.601761	−	1.85203i	−0.0840775	−	0.996459i	$-0.526794\pi$
$878$	−24.4267	+	17.7471i	−0.824363	+	0.598935i
$879$	−9.62563	+	6.99343i	−0.324665	+	0.235883i
$880$	−0.407539	+	4.38738i	−0.0137381	+	0.147899i
$881$	−27.3230	−	19.8513i	−0.920534	−	0.668807i	0.0231230	−	0.999733i	$-0.492639\pi$
$881$	−27.3230	−	19.8513i	−0.920534	−	0.668807i	−0.943657	+	0.330926i	$0.892639\pi$
$882$	2.74481			0.0924225
$883$	5.15249	+	3.74350i	0.173395	+	0.125979i	0.671098	−	0.741369i	$-0.265823\pi$
$883$	5.15249	+	3.74350i	0.173395	+	0.125979i	−0.497703	+	0.867348i	$0.665823\pi$
$884$	−2.46315	+	7.58079i	−0.0828446	+	0.254969i
$885$	−12.1672	+	2.74045i	−0.408996	+	0.0921193i
$886$	−0.500575	−	1.54061i	−0.0168171	−	0.0517578i
$887$	2.43685	−	7.49987i	0.0818216	−	0.251821i	−0.901774	−	0.432207i	$-0.857735\pi$
$887$	2.43685	−	7.49987i	0.0818216	−	0.251821i	0.983596	+	0.180386i	$0.0577348\pi$
$888$	1.34633	−	4.14357i	0.0451798	−	0.139049i
$889$	0.326014	+	1.00337i	0.0109342	+	0.0336519i
$890$	15.8552	+	26.7105i	0.531468	+	0.895340i
$891$	4.12149	−	12.6846i	0.138075	−	0.424951i
$892$	6.76871	+	4.91775i	0.226633	+	0.164659i
$893$	3.44210			0.115185
$894$	6.64400	+	4.82715i	0.222209	+	0.161444i
$895$	23.5772	+	39.7195i	0.788100	+	1.32768i
$896$	−0.809017	+	0.587785i	−0.0270274	+	0.0196365i
$897$	−2.51482	+	1.82713i	−0.0839675	+	0.0610060i
$898$	6.79189	+	20.9033i	0.226648	+	0.697552i
$899$	−2.77537			−0.0925639
$900$	1.76431	+	13.6102i	0.0588105	+	0.453672i
$901$	−10.5606			−0.351823
$902$	1.52856	+	4.70442i	0.0508954	+	0.156640i
$903$	−3.35476	+	2.43738i	−0.111640	+	0.0811109i
$904$	−7.01388	+	5.09588i	−0.233278	+	0.169486i
$905$	6.06668	−	6.90388i	0.201663	−	0.229493i
$906$	−2.23216	−	1.62176i	−0.0741586	−	0.0538794i
$907$	7.33735			0.243633			0.121816	−	0.992553i	$-0.461128\pi$
$907$	7.33735			0.243633			0.121816	+	0.992553i	$0.461128\pi$
$908$	−10.8480	−	7.88155i	−0.360005	−	0.261559i
$909$	9.04433	−	27.8356i	0.299982	−	0.923248i
$910$	0.521937	−	5.61895i	0.0173021	−	0.186266i
$911$	−9.40160	−	28.9351i	−0.311489	−	0.958664i	−0.977176	−	0.212433i	$-0.931861\pi$
$911$	−9.40160	−	28.9351i	−0.311489	−	0.958664i	0.665687	−	0.746231i	$-0.268139\pi$
$912$	1.05163	−	3.23658i	0.0348229	−	0.107174i
$913$	2.72940	−	8.40022i	0.0903298	−	0.278007i
$914$	−10.4555	−	32.1788i	−0.345838	−	1.06438i
$915$	0.661472	−	0.752755i	0.0218676	−	0.0248853i
$916$	−7.34934	+	22.6190i	−0.242829	+	0.747351i
$917$	−17.3581	−	12.6114i	−0.573215	−	0.416465i
$918$	−9.16604			−0.302524
$919$	4.64824	+	3.37714i	0.153331	+	0.111402i	0.661806	−	0.749675i	$-0.269790\pi$
$919$	4.64824	+	3.37714i	0.153331	+	0.111402i	−0.508474	+	0.861077i	$0.669790\pi$
$920$	−5.00722	−	2.15717i	−0.165083	−	0.0711196i
$921$	1.16533	−	0.846664i	0.0383990	−	0.0278985i
$922$	20.6089	−	14.9733i	0.678719	−	0.493118i
$923$	−5.51328	−	16.9681i	−0.181472	−	0.558513i
$924$	0.995451			0.0327479
$925$	−20.6515	+	37.8559i	−0.679018	+	1.24469i
$926$	−8.82439			−0.289987
$927$	9.44531	+	29.0697i	0.310225	+	0.954773i
$928$	−1.36773	+	0.993711i	−0.0448978	+	0.0326202i
$929$	−10.5278	+	7.64889i	−0.345406	+	0.250952i	−0.746939	−	0.664892i	$-0.768477\pi$
$929$	−10.5278	+	7.64889i	−0.345406	+	0.250952i	0.401533	+	0.915844i	$0.368477\pi$
$930$	−1.80906	+	0.407461i	−0.0593215	+	0.0133612i
$931$	5.45009	+	3.95972i	0.178620	+	0.129775i
$932$	22.4667			0.735922
$933$	3.70465	+	2.69159i	0.121285	+	0.0881186i
$934$	−7.96370	+	24.5097i	−0.260580	+	0.801983i
$935$	12.7813	+	5.50632i	0.417993	+	0.180076i
$936$	−2.14057	−	6.58800i	−0.0699668	−	0.215336i
$937$	−2.47602	+	7.62040i	−0.0808880	+	0.248948i	−0.983320	−	0.181885i	$-0.941780\pi$
$937$	−2.47602	+	7.62040i	−0.0808880	+	0.248948i	0.902432	+	0.430833i	$0.141780\pi$
$938$	4.04469	−	12.4483i	0.132064	−	0.406450i
$939$	3.45479	+	10.6327i	0.112743	+	0.346986i
$940$	−1.04928	−	0.452043i	−0.0342239	−	0.0147440i
$941$	−2.69036	+	8.28007i	−0.0877031	+	0.269922i	−0.985283	−	0.170929i	$-0.945323\pi$
$941$	−2.69036	+	8.28007i	−0.0877031	+	0.269922i	0.897580	+	0.440851i	$0.145323\pi$
$942$	−3.12124	−	2.26771i	−0.101695	−	0.0738861i
$943$	−6.12059			−0.199314
$944$	8.93253	+	6.48986i	0.290729	+	0.211227i
$945$	6.33066	−	1.42587i	0.205936	−	0.0463837i
$946$	13.0862	−	9.50770i	0.425470	−	0.309122i
$947$	13.6857	−	9.94322i	0.444725	−	0.323111i	−0.342785	−	0.939414i	$-0.611370\pi$
$947$	13.6857	−	9.94322i	0.444725	−	0.323111i	0.787509	+	0.616303i	$0.211370\pi$
$948$	0.839283	+	2.58305i	0.0272587	+	0.0838935i
$949$	−1.99629			−0.0648024
$950$	−16.1311	+	29.5696i	−0.523362	+	0.959364i
$951$	−9.78029			−0.317148
$952$	0.976011	+	3.00385i	0.0316327	+	0.0973554i
$953$	−13.8990	+	10.0982i	−0.450233	+	0.327113i	−0.789688	−	0.613509i	$-0.789757\pi$
$953$	−13.8990	+	10.0982i	−0.450233	+	0.327113i	0.339455	+	0.940622i	$0.389757\pi$
$954$	7.42478	−	5.39442i	0.240386	−	0.174651i
$955$	27.9952	+	12.0606i	0.905902	+	0.390272i
$956$	1.19040	+	0.864873i	0.0385002	+	0.0279720i
$957$	1.68291			0.0544008
$958$	19.5245	+	14.1854i	0.630808	+	0.458309i
$959$	−5.78085	+	17.7916i	−0.186673	+	0.574522i
$960$	−0.745630	+	0.848527i	−0.0240651	+	0.0273861i
$961$	−8.74672	−	26.9196i	−0.282152	−	0.868376i
$962$	6.72593	−	20.7003i	0.216853	−	0.667404i
$963$	−4.95194	+	15.2405i	−0.159574	+	0.491119i
$964$	−5.62859	−	17.3230i	−0.181285	−	0.557936i
$965$	−1.10514	+	11.8974i	−0.0355757	+	0.382992i
$966$	−0.380624	+	1.17144i	−0.0122464	+	0.0376905i
$967$	38.9205	+	28.2774i	1.25160	+	0.909341i	0.998314	−	0.0580505i	$-0.0184885\pi$
$967$	38.9205	+	28.2774i	1.25160	+	0.909341i	0.253287	+	0.967391i	$0.418488\pi$
$968$	7.11696			0.228748
$969$	−8.69581	−	6.31788i	−0.279350	−	0.202959i
$970$	12.1234	−	13.7965i	0.389260	−	0.442978i
$971$	31.5349	−	22.9114i	1.01200	−	0.735263i	0.0473750	−	0.998877i	$-0.484914\pi$
$971$	31.5349	−	22.9114i	1.01200	−	0.735263i	0.964628	+	0.263614i	$0.0849144\pi$
$972$	9.80965	−	7.12713i	0.314645	−	0.228603i
$973$	−0.828808	−	2.55081i	−0.0265704	−	0.0817751i
$974$	31.2413			1.00103
$975$	−0.819471	−	6.32151i	−0.0262441	−	0.202450i
$976$	−0.887132			−0.0283964
$977$	−8.42544	−	25.9308i	−0.269554	−	0.829601i	−0.990609	−	0.136724i	$-0.956343\pi$
$977$	−8.42544	−	25.9308i	−0.269554	−	0.829601i	0.721055	−	0.692877i	$-0.243657\pi$
$978$	8.40538	−	6.10686i	0.268774	−	0.195276i
$979$	−22.1456	+	16.0897i	−0.707775	+	0.514229i
$980$	−1.14138	−	1.92283i	−0.0364599	−	0.0614224i
$981$	36.9913	+	26.8758i	1.18104	+	0.858078i
$982$	−15.8625			−0.506191
$983$	1.93052	+	1.40260i	0.0615739	+	0.0447361i	0.618146	−	0.786063i	$-0.287884\pi$
$983$	1.93052	+	1.40260i	0.0615739	+	0.0447361i	−0.556573	+	0.830799i	$0.687884\pi$
$984$	−0.391859	+	1.20602i	−0.0124920	+	0.0384464i
$985$	20.1714	+	33.9819i	0.642715	+	1.08275i
$986$	1.65005	+	5.07832i	0.0525482	+	0.161727i
$987$	−0.0797615	+	0.245481i	−0.00253884	+	0.00781374i
$988$	5.25369	−	16.1692i	0.167142	−	0.514410i
$989$	6.18491	+	19.0352i	0.196669	+	0.605284i
$990$	−11.7988	+	2.65748i	−0.374990	+	0.0844602i
$991$	−13.8423	+	42.6024i	−0.439717	+	1.35331i	0.448458	+	0.893804i	$0.351973\pi$
$991$	−13.8423	+	42.6024i	−0.439717	+	1.35331i	−0.888175	+	0.459505i	$0.848027\pi$
$992$	1.32812	+	0.964937i	0.0421679	+	0.0306368i
$993$	11.0904			0.351943
$994$	−5.71939	−	4.15538i	−0.181408	−	0.131801i
$995$	−4.48214	+	48.2528i	−0.142093	+	1.52972i
$996$	1.83185	−	1.33092i	0.0580444	−	0.0421717i
$997$	9.50570	−	6.90629i	0.301048	−	0.218724i	−0.426998	−	0.904253i	$-0.640429\pi$
$997$	9.50570	−	6.90629i	0.301048	−	0.218724i	0.728046	+	0.685528i	$0.240429\pi$
$998$	−5.54715	−	17.0724i	−0.175592	−	0.540417i
$999$	25.0290			0.791883

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.b.281.2	yes	12
25.11	even	5		8750.2.a.p.1.3		6
25.14	even	10		8750.2.a.q.1.4		6
25.21	even	5	inner	350.2.h.b.71.2	✓	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.b.71.2	✓	12	25.21	even	5	inner
350.2.h.b.281.2	yes	12	1.1	even	1	trivial
8750.2.a.p.1.3		6	25.11	even	5
8750.2.a.q.1.4		6	25.14	even	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(0.408688 - 0.296929i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.206815 + 2.22648i) q^{5} +(-0.408688 - 0.296929i) q^{6} -1.00000 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.848192 + 2.61047i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(0.408688 - 0.296929i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.206815 + 2.22648i) q^{5} +(-0.408688 - 0.296929i) q^{6} -1.00000 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.848192 + 2.61047i) q^{9} +(2.18142 - 0.491328i) q^{10} +(0.608932 + 1.87410i) q^{11} +(-0.156105 + 0.480441i) q^{12} +(-0.779862 + 2.40017i) q^{13} +(0.309017 + 0.951057i) q^{14} +(0.576584 + 0.971346i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-2.55523 - 1.85648i) q^{17} +2.74481 q^{18} +(5.45009 + 3.95972i) q^{19} +(-1.14138 - 1.92283i) q^{20} +(-0.408688 + 0.296929i) q^{21} +(1.59420 - 1.15826i) q^{22} +(0.753465 + 2.31893i) q^{23} +0.505166 q^{24} +(-4.91445 - 0.920942i) q^{25} +2.52369 q^{26} +(0.896792 + 2.76004i) q^{27} +(0.809017 - 0.587785i) q^{28} +(1.36773 - 0.993711i) q^{29} +(0.745630 - 0.848527i) q^{30} +(-1.32812 - 0.964937i) q^{31} -1.00000 q^{32} +(0.805337 + 0.585112i) q^{33} +(-0.976011 + 3.00385i) q^{34} +(0.206815 - 2.22648i) q^{35} +(-0.848192 - 2.61047i) q^{36} +(2.66512 - 8.20239i) q^{37} +(2.08175 - 6.40697i) q^{38} +(0.393960 + 1.21248i) q^{39} +(-1.47601 + 1.67970i) q^{40} +(-0.775703 + 2.38737i) q^{41} +(0.408688 + 0.296929i) q^{42} +8.20862 q^{43} +(-1.59420 - 1.15826i) q^{44} +(-5.63674 - 2.42837i) q^{45} +(1.97260 - 1.43317i) q^{46} +(0.413366 - 0.300328i) q^{47} +(-0.156105 - 0.480441i) q^{48} +1.00000 q^{49} +(0.642782 + 4.95851i) q^{50} -1.59553 q^{51} +(-0.779862 - 2.40017i) q^{52} +(2.70503 - 1.96532i) q^{53} +(2.34783 - 1.70580i) q^{54} +(-4.29859 + 0.968184i) q^{55} +(-0.809017 - 0.587785i) q^{56} +3.40314 q^{57} +(-1.36773 - 0.993711i) q^{58} +(-3.41192 + 10.5008i) q^{59} +(-1.03741 - 0.446927i) q^{60} +(-0.274139 - 0.843712i) q^{61} +(-0.507297 + 1.56130i) q^{62} +(0.848192 - 2.61047i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-5.18265 - 2.23274i) q^{65} +(0.307611 - 0.946730i) q^{66} +(-10.5891 - 7.69345i) q^{67} +3.15844 q^{68} +(0.996488 + 0.723991i) q^{69} +(-2.18142 + 0.491328i) q^{70} +(-5.71939 + 4.15538i) q^{71} +(-2.22060 + 1.61336i) q^{72} +(0.244439 + 0.752307i) q^{73} -8.62451 q^{74} +(-2.28193 + 1.08287i) q^{75} -6.73669 q^{76} +(-0.608932 - 1.87410i) q^{77} +(1.03140 - 0.749356i) q^{78} +(4.34961 - 3.16017i) q^{79} +(2.05360 + 0.884714i) q^{80} +(-5.47574 - 3.97836i) q^{81} +2.51023 q^{82} +(-3.62623 - 2.63461i) q^{83} +(0.156105 - 0.480441i) q^{84} +(4.66189 - 5.30523i) q^{85} +(-2.53660 - 7.80687i) q^{86} +(0.263911 - 0.812235i) q^{87} +(-0.608932 + 1.87410i) q^{88} +(4.29265 + 13.2114i) q^{89} +(-0.567668 + 6.11127i) q^{90} +(0.779862 - 2.40017i) q^{91} +(-1.97260 - 1.43317i) q^{92} -0.829305 q^{93} +(-0.413366 - 0.300328i) q^{94} +(-9.94342 + 11.3156i) q^{95} +(-0.408688 + 0.296929i) q^{96} +(6.64498 - 4.82786i) q^{97} +(-0.309017 - 0.951057i) q^{98} -5.40876 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 3 q^{2} + q^{3} - 3 q^{4} - 5 q^{5} - q^{6} - 12 q^{7} + 3 q^{8} + 6 q^{9}+O(q^{10}) \) 12 * q + 3 * q^2 + q^3 - 3 * q^4 - 5 * q^5 - q^6 - 12 * q^7 + 3 * q^8 + 6 * q^9	\( 12 q + 3 q^{2} + q^{3} - 3 q^{4} - 5 q^{5} - q^{6} - 12 q^{7} + 3 q^{8} + 6 q^{9} + 7 q^{11} - 4 q^{12} + 3 q^{13} - 3 q^{14} - 10 q^{15} - 3 q^{16} + 4 q^{17} - 6 q^{18} + 4 q^{19} + 5 q^{20} - q^{21} - 2 q^{22} - q^{23} - 6 q^{24} - 5 q^{25} + 12 q^{26} + 10 q^{27} + 3 q^{28} + 22 q^{29} + 15 q^{30} + 31 q^{31} - 12 q^{32} - 21 q^{33} + 6 q^{34} + 5 q^{35} + 6 q^{36} + 9 q^{37} - 4 q^{38} - 20 q^{39} - 19 q^{41} + q^{42} + 50 q^{43} + 2 q^{44} - 25 q^{45} + 16 q^{46} - 24 q^{47} - 4 q^{48} + 12 q^{49} - 58 q^{51} + 3 q^{52} + 35 q^{53} + 25 q^{54} - 10 q^{55} - 3 q^{56} - 44 q^{57} - 22 q^{58} + q^{59} - 5 q^{60} + 8 q^{61} + 19 q^{62} - 6 q^{63} - 3 q^{64} - 25 q^{65} - 14 q^{66} - 36 q^{67} + 4 q^{68} - 31 q^{69} + q^{71} + 9 q^{72} - 31 q^{73} - 14 q^{74} + 55 q^{75} - 16 q^{76} - 7 q^{77} - 30 q^{78} + 2 q^{79} - 8 q^{81} - 6 q^{82} - 19 q^{83} + 4 q^{84} + 20 q^{85} + 10 q^{86} + 28 q^{87} - 7 q^{88} + 40 q^{89} + 20 q^{90} - 3 q^{91} - 16 q^{92} + 50 q^{93} + 24 q^{94} - q^{96} + 28 q^{97} + 3 q^{98} - 24 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 + q^3 - 3 * q^4 - 5 * q^5 - q^6 - 12 * q^7 + 3 * q^8 + 6 * q^9 + 7 * q^11 - 4 * q^12 + 3 * q^13 - 3 * q^14 - 10 * q^15 - 3 * q^16 + 4 * q^17 - 6 * q^18 + 4 * q^19 + 5 * q^20 - q^21 - 2 * q^22 - q^23 - 6 * q^24 - 5 * q^25 + 12 * q^26 + 10 * q^27 + 3 * q^28 + 22 * q^29 + 15 * q^30 + 31 * q^31 - 12 * q^32 - 21 * q^33 + 6 * q^34 + 5 * q^35 + 6 * q^36 + 9 * q^37 - 4 * q^38 - 20 * q^39 - 19 * q^41 + q^42 + 50 * q^43 + 2 * q^44 - 25 * q^45 + 16 * q^46 - 24 * q^47 - 4 * q^48 + 12 * q^49 - 58 * q^51 + 3 * q^52 + 35 * q^53 + 25 * q^54 - 10 * q^55 - 3 * q^56 - 44 * q^57 - 22 * q^58 + q^59 - 5 * q^60 + 8 * q^61 + 19 * q^62 - 6 * q^63 - 3 * q^64 - 25 * q^65 - 14 * q^66 - 36 * q^67 + 4 * q^68 - 31 * q^69 + q^71 + 9 * q^72 - 31 * q^73 - 14 * q^74 + 55 * q^75 - 16 * q^76 - 7 * q^77 - 30 * q^78 + 2 * q^79 - 8 * q^81 - 6 * q^82 - 19 * q^83 + 4 * q^84 + 20 * q^85 + 10 * q^86 + 28 * q^87 - 7 * q^88 + 40 * q^89 + 20 * q^90 - 3 * q^91 - 16 * q^92 + 50 * q^93 + 24 * q^94 - q^96 + 28 * q^97 + 3 * q^98 - 24 * q^99

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