LMFDB - Embedded newform 370.2.o.d.81.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			81.4
Character	$\chi$	$=$	370.81
Dual form			370.2.o.d.201.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 + 0.342020i) q^{2} +(2.77301 + 1.00929i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.173648 - 0.984808i) q^{5} -2.95098 q^{6} +(-0.530717 - 3.00985i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(4.37280 + 3.66922i) q^{9} +O(q^{10})$	\(q+(-0.939693 + 0.342020i) q^{2} +(2.77301 + 1.00929i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.173648 - 0.984808i) q^{5} -2.95098 q^{6} +(-0.530717 - 3.00985i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(4.37280 + 3.66922i) q^{9} +(0.500000 + 0.866025i) q^{10} +(1.06062 - 1.83704i) q^{11} +(2.77301 - 1.00929i) q^{12} +(0.822773 - 0.690388i) q^{13} +(1.52814 + 2.64681i) q^{14} +(0.512432 - 2.90615i) q^{15} +(0.173648 - 0.984808i) q^{16} +(4.15836 + 3.48928i) q^{17} +(-5.36404 - 1.95235i) q^{18} +(1.64990 + 0.600515i) q^{19} +(-0.766044 - 0.642788i) q^{20} +(1.56614 - 8.88200i) q^{21} +(-0.368348 + 2.08901i) q^{22} +(-0.696543 - 1.20645i) q^{23} +(-2.26058 + 1.89685i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(-0.537027 + 0.930158i) q^{26} +(3.99605 + 6.92137i) q^{27} +(-2.34124 - 1.96454i) q^{28} +(-5.11815 + 8.86489i) q^{29} +(0.512432 + 2.90615i) q^{30} -10.3296 q^{31} +(0.173648 + 0.984808i) q^{32} +(4.79522 - 4.02367i) q^{33} +(-5.10099 - 1.85661i) q^{34} +(-2.87196 + 1.04531i) q^{35} +5.70829 q^{36} +(-5.36226 - 2.87161i) q^{37} -1.75579 q^{38} +(2.97837 - 1.08404i) q^{39} +(0.939693 + 0.342020i) q^{40} +(0.111390 - 0.0934672i) q^{41} +(1.56614 + 8.88200i) q^{42} +7.30435 q^{43} +(-0.368348 - 2.08901i) q^{44} +(2.85414 - 4.94352i) q^{45} +(1.06717 + 0.895458i) q^{46} +(3.70637 + 6.41961i) q^{47} +(1.47549 - 2.55562i) q^{48} +(-2.19966 + 0.800611i) q^{49} +(0.766044 - 0.642788i) q^{50} +(8.00949 + 13.8728i) q^{51} +(0.186507 - 1.05774i) q^{52} +(0.782418 - 4.43731i) q^{53} +(-6.12231 - 5.13723i) q^{54} +(-1.99331 - 0.725504i) q^{55} +(2.87196 + 1.04531i) q^{56} +(3.96910 + 3.33047i) q^{57} +(1.77751 - 10.0808i) q^{58} +(-1.29465 + 7.34233i) q^{59} +(-1.47549 - 2.55562i) q^{60} +(1.41547 - 1.18772i) q^{61} +(9.70662 - 3.53292i) q^{62} +(8.72305 - 15.1088i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.822773 - 0.690388i) q^{65} +(-3.12986 + 5.42107i) q^{66} +(-1.62972 - 9.24258i) q^{67} +5.42836 q^{68} +(-0.713862 - 4.04851i) q^{69} +(2.34124 - 1.96454i) q^{70} +(-6.84207 - 2.49031i) q^{71} +(-5.36404 + 1.95235i) q^{72} -15.7185 q^{73} +(6.02103 + 0.864424i) q^{74} -2.95098 q^{75} +(1.64990 - 0.600515i) q^{76} +(-6.09209 - 2.21734i) q^{77} +(-2.42799 + 2.03732i) q^{78} +(2.01756 + 11.4422i) q^{79} -1.00000 q^{80} +(1.12171 + 6.36155i) q^{81} +(-0.0727045 + 0.125928i) q^{82} +(2.29588 + 1.92648i) q^{83} +(-4.50951 - 7.81070i) q^{84} +(2.71418 - 4.70110i) q^{85} +(-6.86384 + 2.49824i) q^{86} +(-23.1400 + 19.4168i) q^{87} +(1.06062 + 1.83704i) q^{88} +(0.129620 - 0.735110i) q^{89} +(-0.991234 + 5.62157i) q^{90} +(-2.51462 - 2.11002i) q^{91} +(-1.30907 - 0.476463i) q^{92} +(-28.6440 - 10.4256i) q^{93} +(-5.67848 - 4.76481i) q^{94} +(0.304889 - 1.72911i) q^{95} +(-0.512432 + 2.90615i) q^{96} +(-4.30494 - 7.45637i) q^{97} +(1.79318 - 1.50466i) q^{98} +(11.3784 - 4.14139i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	$ 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) $ 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9 + 12 * q^10 - 3 * q^11 - 3 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 + 18 * q^21 + 3 * q^22 + 15 * q^23 - 6 * q^26 - 12 * q^27 + 9 * q^28 - 18 * q^29 - 6 * q^31 - 45 * q^33 - 3 * q^34 + 30 * q^36 - 18 * q^37 - 24 * q^38 + 12 * q^39 + 3 * q^41 + 18 * q^42 + 3 * q^44 + 15 * q^45 + 9 * q^46 - 36 * q^47 - 3 * q^48 - 15 * q^49 + 54 * q^51 - 9 * q^52 - 6 * q^53 + 45 * q^54 - 3 * q^55 + 3 * q^57 - 15 * q^58 - 9 * q^59 + 3 * q^60 - 24 * q^61 + 81 * q^62 - 45 * q^63 - 12 * q^64 - 3 * q^66 + 12 * q^67 + 12 * q^68 + 60 * q^69 - 9 * q^70 + 42 * q^71 - 6 * q^72 - 42 * q^73 + 12 * q^74 + 6 * q^75 - 18 * q^76 + 9 * q^77 + 30 * q^78 - 6 * q^79 - 24 * q^80 - 66 * q^81 - 24 * q^82 - 3 * q^83 - 42 * q^84 + 6 * q^85 - 18 * q^86 - 84 * q^87 - 3 * q^88 + 27 * q^89 + 6 * q^90 + 153 * q^91 - 9 * q^92 - 54 * q^93 - 21 * q^94 - 9 * q^95 - 9 * q^97 - 24 * q^98 + 165 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$1$

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 $

$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$3$	2.77301	+	1.00929i	1.60100	+	0.582717i	0.979632	−	0.200801i	$-0.0643546\pi$
$3$	2.77301	+	1.00929i	1.60100	+	0.582717i	0.621369	+	0.783518i	$0.286577\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	−0.173648	−	0.984808i	−0.0776578	−	0.440419i
$5$	−0.173648	−	0.984808i	−0.0776578	−	0.440419i
$6$	−2.95098			−1.20473
$7$	−0.530717	−	3.00985i	−0.200592	−	1.13761i	−0.904227	−	0.427053i	$-0.859552\pi$
$7$	−0.530717	−	3.00985i	−0.200592	−	1.13761i	0.703635	−	0.710562i	$-0.251559\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	4.37280	+	3.66922i	1.45760	+	1.22307i
$10$	0.500000	+	0.866025i	0.158114	+	0.273861i
$11$	1.06062	−	1.83704i	0.319788	−	0.553889i	−0.660656	−	0.750689i	$-0.729722\pi$
$11$	1.06062	−	1.83704i	0.319788	−	0.553889i	0.980444	+	0.196800i	$0.0630551\pi$
$12$	2.77301	−	1.00929i	0.800500	−	0.291358i
$13$	0.822773	−	0.690388i	0.228196	−	0.191479i	−0.521520	−	0.853239i	$-0.674635\pi$
$13$	0.822773	−	0.690388i	0.228196	−	0.191479i	0.749716	+	0.661760i	$0.230190\pi$
$14$	1.52814	+	2.64681i	0.408412	+	0.707391i
$15$	0.512432	−	2.90615i	0.132309	−	0.750364i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	4.15836	+	3.48928i	1.00855	+	0.846275i	0.988146	−	0.153517i	$-0.0490599\pi$
$17$	4.15836	+	3.48928i	1.00855	+	0.846275i	0.0204052	+	0.999792i	$0.493504\pi$
$18$	−5.36404	−	1.95235i	−1.26432	−	0.460173i
$19$	1.64990	+	0.600515i	0.378513	+	0.137767i	0.524268	−	0.851553i	$-0.324339\pi$
$19$	1.64990	+	0.600515i	0.378513	+	0.137767i	−0.145755	+	0.989321i	$0.546561\pi$
$20$	−0.766044	−	0.642788i	−0.171293	−	0.143732i
$21$	1.56614	−	8.88200i	0.341759	−	1.93821i
$22$	−0.368348	+	2.08901i	−0.0785321	+	0.445377i
$23$	−0.696543	−	1.20645i	−0.145239	−	0.251562i	0.784223	−	0.620479i	$-0.213062\pi$
$23$	−0.696543	−	1.20645i	−0.145239	−	0.251562i	−0.929462	+	0.368917i	$0.879729\pi$
$24$	−2.26058	+	1.89685i	−0.461439	+	0.387194i
$25$	−0.939693	+	0.342020i	−0.187939	+	0.0684040i
$26$	−0.537027	+	0.930158i	−0.105320	+	0.182419i
$27$	3.99605	+	6.92137i	0.769041	+	1.33202i
$28$	−2.34124	−	1.96454i	−0.442454	−	0.371263i
$29$	−5.11815	+	8.86489i	−0.950416	+	1.64617i	−0.205891	+	0.978575i	$0.566009\pi$
$29$	−5.11815	+	8.86489i	−0.950416	+	1.64617i	−0.744525	+	0.667594i	$0.767324\pi$
$30$	0.512432	+	2.90615i	0.0935569	+	0.530588i
$31$	−10.3296			−1.85525			−0.927623	−	0.373519i	$-0.878151\pi$
$31$	−10.3296			−1.85525			−0.927623	+	0.373519i	$0.878151\pi$
$32$	0.173648	+	0.984808i	0.0306970	+	0.174091i
$33$	4.79522	−	4.02367i	0.834740	−	0.700430i
$34$	−5.10099	−	1.85661i	−0.874812	−	0.318406i
$35$	−2.87196	+	1.04531i	−0.485450	+	0.176689i
$36$	5.70829			0.951381
$37$	−5.36226	−	2.87161i	−0.881551	−	0.472089i
$37$	−5.36226	−	2.87161i	−0.881551	−	0.472089i
$38$	−1.75579			−0.284826
$39$	2.97837	−	1.08404i	0.476920	−	0.173585i
$40$	0.939693	+	0.342020i	0.148578	+	0.0540781i
$41$	0.111390	−	0.0934672i	0.0173962	−	0.0145971i	−0.634048	−	0.773294i	$-0.718608\pi$
$41$	0.111390	−	0.0934672i	0.0173962	−	0.0145971i	0.651444	+	0.758697i	$0.274163\pi$
$42$	1.56614	+	8.88200i	0.241660	+	1.37052i
$43$	7.30435			1.11390			0.556952	−	0.830545i	$-0.311971\pi$
$43$	7.30435			1.11390			0.556952	+	0.830545i	$0.311971\pi$
$44$	−0.368348	−	2.08901i	−0.0555306	−	0.314929i
$45$	2.85414	−	4.94352i	0.425471	−	0.736937i
$46$	1.06717	+	0.895458i	0.157345	+	0.132028i
$47$	3.70637	+	6.41961i	0.540629	+	0.936397i	0.998868	+	0.0475678i	$0.0151470\pi$
$47$	3.70637	+	6.41961i	0.540629	+	0.936397i	−0.458239	+	0.888829i	$0.651520\pi$
$48$	1.47549	−	2.55562i	0.212969	−	0.368873i
$49$	−2.19966	+	0.800611i	−0.314237	+	0.114373i
$50$	0.766044	−	0.642788i	0.108335	−	0.0909039i
$51$	8.00949	+	13.8728i	1.12155	+	1.94259i
$52$	0.186507	−	1.05774i	0.0258639	−	0.146682i
$53$	0.782418	−	4.43731i	0.107473	−	0.609512i	−0.882730	−	0.469880i	$-0.844297\pi$
$53$	0.782418	−	4.43731i	0.107473	−	0.609512i	0.990204	−	0.139631i	$-0.0445918\pi$
$54$	−6.12231	−	5.13723i	−0.833141	−	0.699088i
$55$	−1.99331	−	0.725504i	−0.268777	−	0.0978269i
$56$	2.87196	+	1.04531i	0.383782	+	0.139685i
$57$	3.96910	+	3.33047i	0.525720	+	0.441132i
$58$	1.77751	−	10.0808i	0.233399	−	1.32367i
$59$	−1.29465	+	7.34233i	−0.168549	+	0.955890i	0.776780	+	0.629772i	$0.216852\pi$
$59$	−1.29465	+	7.34233i	−0.168549	+	0.955890i	−0.945329	+	0.326118i	$0.894259\pi$
$60$	−1.47549	−	2.55562i	−0.190485	−	0.329930i
$61$	1.41547	−	1.18772i	0.181232	−	0.152072i	−0.547658	−	0.836702i	$-0.684481\pi$
$61$	1.41547	−	1.18772i	0.181232	−	0.152072i	0.728891	+	0.684630i	$0.240036\pi$
$62$	9.70662	−	3.53292i	1.23274	−	0.448681i
$63$	8.72305	−	15.1088i	1.09900	−	1.90353i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−0.822773	−	0.690388i	−0.102052	−	0.0856321i
$66$	−3.12986	+	5.42107i	−0.385259	+	0.667288i
$67$	−1.62972	−	9.24258i	−0.199101	−	1.12916i	−0.906456	−	0.422301i	$-0.861222\pi$
$67$	−1.62972	−	9.24258i	−0.199101	−	1.12916i	0.707354	−	0.706859i	$-0.249889\pi$
$68$	5.42836			0.658285
$69$	−0.713862	−	4.04851i	−0.0859389	−	0.487384i
$70$	2.34124	−	1.96454i	0.279832	−	0.234807i
$71$	−6.84207	−	2.49031i	−0.812004	−	0.295545i	−0.0975527	−	0.995230i	$-0.531101\pi$
$71$	−6.84207	−	2.49031i	−0.812004	−	0.295545i	−0.714451	+	0.699685i	$0.753324\pi$
$72$	−5.36404	+	1.95235i	−0.632158	+	0.230087i
$73$	−15.7185			−1.83972			−0.919858	−	0.392251i	$-0.871696\pi$
$73$	−15.7185			−1.83972			−0.919858	+	0.392251i	$0.871696\pi$
$74$	6.02103	+	0.864424i	0.699930	+	0.100487i
$75$	−2.95098			−0.340750
$76$	1.64990	−	0.600515i	0.189257	−	0.0688837i
$77$	−6.09209	−	2.21734i	−0.694259	−	0.252689i
$78$	−2.42799	+	2.03732i	−0.274915	+	0.230681i
$79$	2.01756	+	11.4422i	0.226994	+	1.28735i	0.858837	+	0.512249i	$0.171187\pi$
$79$	2.01756	+	11.4422i	0.226994	+	1.28735i	−0.631843	+	0.775096i	$0.717701\pi$
$80$	−1.00000			−0.111803
$81$	1.12171	+	6.36155i	0.124635	+	0.706839i
$82$	−0.0727045	+	0.125928i	−0.00802887	+	0.0139064i
$83$	2.29588	+	1.92648i	0.252006	+	0.211458i	0.760036	−	0.649881i	$-0.225181\pi$
$83$	2.29588	+	1.92648i	0.252006	+	0.211458i	−0.508030	+	0.861340i	$0.669626\pi$
$84$	−4.50951	−	7.81070i	−0.492028	−	0.852217i
$85$	2.71418	−	4.70110i	0.294394	−	0.509905i
$86$	−6.86384	+	2.49824i	−0.740147	+	0.269392i
$87$	−23.1400	+	19.4168i	−2.48087	+	2.08169i
$88$	1.06062	+	1.83704i	0.113062	+	0.195829i
$89$	0.129620	−	0.735110i	0.0137397	−	0.0779215i	−0.977167	−	0.212473i	$-0.931848\pi$
$89$	0.129620	−	0.735110i	0.0137397	−	0.0779215i	0.990907	+	0.134551i	$0.0429594\pi$
$90$	−0.991234	+	5.62157i	−0.104485	+	0.592565i
$91$	−2.51462	−	2.11002i	−0.263604	−	0.221190i
$92$	−1.30907	−	0.476463i	−0.136480	−	0.0496747i
$93$	−28.6440	−	10.4256i	−2.97025	−	1.08108i
$94$	−5.67848	−	4.76481i	−0.585691	−	0.491453i
$95$	0.304889	−	1.72911i	0.0312810	−	0.177403i
$96$	−0.512432	+	2.90615i	−0.0522999	+	0.296608i
$97$	−4.30494	−	7.45637i	−0.437100	−	0.757080i	0.560364	−	0.828246i	$-0.310661\pi$
$97$	−4.30494	−	7.45637i	−0.437100	−	0.757080i	−0.997464	+	0.0711665i	$0.977328\pi$
$98$	1.79318	−	1.50466i	0.181138	−	0.151993i
$99$	11.3784	−	4.14139i	1.14357	−	0.416225i
$100$	−0.500000	+	0.866025i	−0.0500000	+	0.0866025i
$101$	8.71962	+	15.1028i	0.867635	+	1.50279i	0.864407	+	0.502792i	$0.167694\pi$
$101$	8.71962	+	15.1028i	0.867635	+	1.50279i	0.00322746	+	0.999995i	$0.498973\pi$
$102$	−12.2713	−	10.2968i	−1.21503	−	1.01954i
$103$	2.20374	−	3.81699i	0.217141	−	0.376099i	−0.736792	−	0.676120i	$-0.763660\pi$
$103$	2.20374	−	3.81699i	0.217141	−	0.376099i	0.953933	+	0.300021i	$0.0969936\pi$
$104$	0.186507	+	1.05774i	0.0182886	+	0.103720i
$105$	−9.01901			−0.880166
$106$	0.782418	+	4.43731i	0.0759951	+	0.430990i
$107$	2.38748	−	2.00334i	0.230807	−	0.193670i	−0.520048	−	0.854137i	$-0.674086\pi$
$107$	2.38748	−	2.00334i	0.230807	−	0.193670i	0.750855	+	0.660467i	$0.229642\pi$
$108$	7.51012	+	2.73346i	0.722662	+	0.263027i
$109$	−10.3754	+	3.77634i	−0.993783	+	0.361707i	−0.787184	−	0.616718i	$-0.788462\pi$
$109$	−10.3754	+	3.77634i	−0.993783	+	0.361707i	−0.206599	+	0.978426i	$0.566240\pi$
$110$	2.12123			0.202251
$111$	−11.9713	−	13.3751i	−1.13627	−	1.26951i
$112$	−3.05628			−0.288791
$113$	1.75301	−	0.638042i	0.164909	−	0.0600219i	−0.258246	−	0.966079i	$-0.583145\pi$
$113$	1.75301	−	0.638042i	0.164909	−	0.0600219i	0.423155	+	0.906057i	$0.360922\pi$
$114$	−4.86882	−	1.77211i	−0.456007	−	0.165973i
$115$	−1.06717	+	0.895458i	−0.0995137	+	0.0835019i
$116$	1.77751	+	10.0808i	0.165038	+	0.935977i
$117$	6.13101			0.566812
$118$	−1.29465	−	7.34233i	−0.119182	−	0.675917i
$119$	8.29528	−	14.3679i	0.760427	−	1.31710i
$120$	2.26058	+	1.89685i	0.206362	+	0.173158i
$121$	3.25019	+	5.62949i	0.295472	+	0.511772i
$122$	−0.923882	+	1.60021i	−0.0836443	+	0.144876i
$123$	0.403222	−	0.146761i	0.0363573	−	0.0132330i
$124$	−7.91291	+	6.63972i	−0.710600	+	0.596264i
$125$	0.500000	+	0.866025i	0.0447214	+	0.0774597i
$126$	−3.02948	+	17.1811i	−0.269888	+	1.53061i
$127$	3.27568	−	18.5773i	0.290669	−	1.64847i	−0.393631	−	0.919268i	$-0.628781\pi$
$127$	3.27568	−	18.5773i	0.290669	−	1.64847i	0.684301	−	0.729200i	$-0.260108\pi$
$128$	0.766044	+	0.642788i	0.0677094	+	0.0568149i
$129$	20.2551	+	7.37224i	1.78336	+	0.649090i
$130$	1.00928	+	0.367348i	0.0885197	+	0.0322185i
$131$	−13.6223	−	11.4304i	−1.19018	−	0.998683i	−0.999856	−	0.0169623i	$-0.994600\pi$
$131$	−13.6223	−	11.4304i	−1.19018	−	0.998683i	−0.190328	−	0.981721i	$-0.560955\pi$
$132$	1.08699	−	6.16461i	0.0946102	−	0.536561i
$133$	0.931826	−	5.28465i	0.0807996	−	0.458237i
$134$	4.69258	+	8.12779i	0.405377	+	0.702134i
$135$	6.12231	−	5.13723i	0.526924	−	0.442142i
$136$	−5.10099	+	1.85661i	−0.437406	+	0.159203i
$137$	0.882959	−	1.52933i	0.0754363	−	0.130660i	−0.825840	−	0.563905i	$-0.809298\pi$
$137$	0.882959	−	1.52933i	0.0754363	−	0.130660i	0.901276	+	0.433246i	$0.142632\pi$
$138$	2.05548	+	3.56020i	0.174974	+	0.303065i
$139$	−3.21095	−	2.69430i	−0.272349	−	0.228528i	0.496376	−	0.868108i	$-0.334664\pi$
$139$	−3.21095	−	2.69430i	−0.272349	−	0.228528i	−0.768725	+	0.639580i	$0.779108\pi$
$140$	−1.52814	+	2.64681i	−0.129151	+	0.223697i
$141$	3.79852	+	21.5425i	0.319893	+	1.81421i
$142$	7.28118			0.611023
$143$	−0.395626	−	2.24370i	−0.0330839	−	0.187628i
$144$	4.37280	−	3.66922i	0.364400	−	0.305768i
$145$	9.61897	+	3.50102i	0.798812	+	0.290744i
$146$	14.7706	−	5.37606i	1.22242	−	0.444926i
$147$	−6.90774			−0.569741
$148$	−5.95357	+	1.24702i	−0.489380	+	0.102504i
$149$	−13.8320			−1.13316			−0.566582	−	0.824005i	$-0.691734\pi$
$149$	−13.8320			−1.13316			−0.566582	+	0.824005i	$0.691734\pi$
$150$	2.77301	−	1.00929i	0.226416	−	0.0824086i
$151$	14.7461	+	5.36715i	1.20002	+	0.436772i	0.863232	−	0.504807i	$-0.168436\pi$
$151$	14.7461	+	5.36715i	1.20002	+	0.436772i	0.336790	+	0.941580i	$0.390659\pi$
$152$	−1.34501	+	1.12860i	−0.109095	+	0.0915414i
$153$	5.38077	+	30.5159i	0.435010	+	2.46706i
$154$	6.48307			0.522421
$155$	1.79371	+	10.1726i	0.144074	+	0.817086i
$156$	1.58476	−	2.74488i	0.126882	−	0.219766i
$157$	−1.53220	−	1.28567i	−0.122283	−	0.102607i	0.579596	−	0.814904i	$-0.303211\pi$
$157$	−1.53220	−	1.28567i	−0.122283	−	0.102607i	−0.701878	+	0.712297i	$0.747655\pi$
$158$	−5.80934	−	10.0621i	−0.462167	−	0.800496i
$159$	6.64821	−	11.5150i	0.527237	−	0.913202i
$160$	0.939693	−	0.342020i	0.0742892	−	0.0270391i
$161$	−3.26155	+	2.73677i	−0.257046	+	0.215688i
$162$	−3.22984	−	5.59425i	−0.253760	−	0.439526i
$163$	1.05067	−	5.95863i	0.0822947	−	0.466716i	−0.915613	−	0.402061i	$-0.868294\pi$
$163$	1.05067	−	5.95863i	0.0822947	−	0.466716i	0.997908	−	0.0646554i	$-0.0205948\pi$
$164$	0.0252500	−	0.143200i	0.00197170	−	0.0111820i
$165$	−4.79522	−	4.02367i	−0.373307	−	0.313242i
$166$	−2.81632	−	1.02506i	−0.218589	−	0.0795598i
$167$	23.7665	+	8.65031i	1.83911	+	0.669381i	0.989982	+	0.141195i	$0.0450944\pi$
$167$	23.7665	+	8.65031i	1.83911	+	0.669381i	0.849128	+	0.528186i	$0.177128\pi$
$168$	6.90897	+	5.79731i	0.533038	+	0.447272i
$169$	−2.05711	+	11.6664i	−0.158239	+	0.897418i
$170$	−0.942624	+	5.34589i	−0.0722960	+	0.410011i
$171$	5.01127	+	8.67977i	0.383221	+	0.663759i
$172$	5.59546	−	4.69515i	0.426650	−	0.358002i
$173$	−9.47442	+	3.44841i	−0.720327	+	0.262177i	−0.676064	−	0.736843i	$-0.736316\pi$
$173$	−9.47442	+	3.44841i	−0.720327	+	0.262177i	−0.0442621	+	0.999020i	$0.514094\pi$
$174$	15.1036	−	26.1601i	1.14500	−	1.98319i
$175$	1.52814	+	2.64681i	0.115516	+	0.200080i
$176$	−1.62496	−	1.36350i	−0.122486	−	0.102778i
$177$	−11.0007	+	19.0537i	−0.826861	+	1.43216i
$178$	0.129620	+	0.735110i	0.00971541	+	0.0550988i
$179$	−14.1830			−1.06009			−0.530045	−	0.847969i	$-0.677825\pi$
$179$	−14.1830			−1.06009			−0.530045	+	0.847969i	$0.677825\pi$
$180$	−0.991234	−	5.62157i	−0.0738822	−	0.419007i
$181$	7.37847	−	6.19127i	0.548437	−	0.460194i	−0.325974	−	0.945379i	$-0.605692\pi$
$181$	7.37847	−	6.19127i	0.548437	−	0.460194i	0.874411	+	0.485185i	$0.161248\pi$
$182$	3.08464	+	1.12272i	0.228649	+	0.0832213i
$183$	5.12388	−	1.86494i	0.378768	−	0.137860i
$184$	1.39309			0.102700
$185$	−1.89683	+	5.77945i	−0.139458	+	0.424914i
$186$	30.4824			2.23507
$187$	10.8204	−	3.93829i	0.791264	−	0.287997i
$188$	6.96569	+	2.53530i	0.508025	+	0.184906i
$189$	18.7115	−	15.7008i	1.36106	−	1.14206i
$190$	0.304889	+	1.72911i	0.0221190	+	0.125443i
$191$	−0.0561907			−0.00406582			−0.00203291	−	0.999998i	$-0.500647\pi$
$191$	−0.0561907			−0.00406582			−0.00203291	+	0.999998i	$0.500647\pi$
$192$	−0.512432	−	2.90615i	−0.0369816	−	0.209733i
$193$	−11.3434	+	19.6473i	−0.816514	+	1.41424i	0.0917215	+	0.995785i	$0.470763\pi$
$193$	−11.3434	+	19.6473i	−0.816514	+	1.41424i	−0.908236	+	0.418459i	$0.862570\pi$
$194$	6.59555	+	5.53432i	0.473533	+	0.397341i
$195$	−1.58476	−	2.74488i	−0.113487	−	0.196565i
$196$	−1.17041	+	2.02722i	−0.0836011	+	0.144801i
$197$	23.1430	−	8.42338i	1.64887	−	0.600141i	0.660317	−	0.750987i	$-0.270422\pi$
$197$	23.1430	−	8.42338i	1.64887	−	0.600141i	0.988557	+	0.150846i	$0.0481999\pi$
$198$	−9.27573	+	7.78326i	−0.659197	+	0.553132i
$199$	−11.7782	−	20.4004i	−0.834932	−	1.44614i	−0.894086	−	0.447895i	$-0.852174\pi$
$199$	−11.7782	−	20.4004i	−0.834932	−	1.44614i	0.0591543	−	0.998249i	$-0.481160\pi$
$200$	0.173648	−	0.984808i	0.0122788	−	0.0696364i
$201$	4.80926	−	27.2747i	0.339219	−	1.92381i
$202$	−13.3592	−	11.2097i	−0.939952	−	0.788714i
$203$	29.3982	+	10.7001i	2.06335	+	0.750999i
$204$	15.0529	+	5.47881i	1.05391	+	0.383594i
$205$	−0.111390	−	0.0934672i	−0.00777980	−	0.00652803i
$206$	−0.765350	+	4.34052i	−0.0533245	+	0.302418i
$207$	1.38087	−	7.83132i	0.0959774	−	0.544315i
$208$	−0.537027	−	0.930158i	−0.0372361	−	0.0644948i
$209$	2.85308	−	2.39402i	0.197352	−	0.165598i
$210$	8.47510	−	3.08468i	0.584838	−	0.212863i
$211$	3.87955	−	6.71958i	0.267079	−	0.462595i	−0.701027	−	0.713135i	$-0.747275\pi$
$211$	3.87955	−	6.71958i	0.267079	−	0.462595i	0.968106	+	0.250540i	$0.0806081\pi$
$212$	−2.25288	−	3.90211i	−0.154729	−	0.267998i
$213$	−16.4597	−	13.8113i	−1.12780	−	0.946337i
$214$	−1.55832	+	2.69909i	−0.106525	+	0.184506i
$215$	−1.26839	−	7.19338i	−0.0865033	−	0.490585i
$216$	−7.99210			−0.543794
$217$	5.48208	+	31.0904i	0.372148	+	2.11055i
$218$	8.45810	−	7.09719i	0.572855	−	0.480682i
$219$	−43.5878	−	15.8646i	−2.94539	−	1.07203i
$220$	−1.99331	+	0.725504i	−0.134389	+	0.0489135i
$221$	5.83035			0.392192
$222$	15.8239	+	8.47405i	1.06203	+	0.568741i
$223$	21.7308			1.45520			0.727600	−	0.686001i	$-0.240636\pi$
$223$	21.7308			1.45520			0.727600	+	0.686001i	$0.240636\pi$
$224$	2.87196	−	1.04531i	0.191891	−	0.0698426i
$225$	−5.36404	−	1.95235i	−0.357602	−	0.130157i
$226$	−1.42906	+	1.19913i	−0.0950599	+	0.0797647i
$227$	0.962187	+	5.45683i	0.0638626	+	0.362183i	0.999946	+	0.0104042i	$0.00331183\pi$
$227$	0.962187	+	5.45683i	0.0638626	+	0.362183i	−0.936083	+	0.351778i	$0.885577\pi$
$228$	5.18129			0.343140
$229$	1.87367	+	10.6261i	0.123816	+	0.702193i	0.982004	+	0.188859i	$0.0604788\pi$
$229$	1.87367	+	10.6261i	0.123816	+	0.702193i	−0.858189	+	0.513334i	$0.828410\pi$
$230$	0.696543	−	1.20645i	0.0459287	−	0.0795508i
$231$	−14.6555	−	12.2974i	−0.964262	−	0.809112i
$232$	−5.11815	−	8.86489i	−0.336023	−	0.582009i
$233$	−2.17462	+	3.76654i	−0.142464	+	0.246754i	−0.928424	−	0.371523i	$-0.878836\pi$
$233$	−2.17462	+	3.76654i	−0.142464	+	0.246754i	0.785960	+	0.618277i	$0.212169\pi$
$234$	−5.76126	+	2.09693i	−0.376625	+	0.137080i
$235$	5.67848	−	4.76481i	0.370423	−	0.310822i
$236$	3.72780	+	6.45674i	0.242659	+	0.420298i
$237$	−5.95379	+	33.7656i	−0.386740	+	2.19331i
$238$	−2.88092	+	16.3385i	−0.186742	+	1.05907i
$239$	16.4418	+	13.7963i	1.06353	+	0.892406i	0.994451	−	0.105205i	$-0.0335499\pi$
$239$	16.4418	+	13.7963i	1.06353	+	0.892406i	0.0690779	+	0.997611i	$0.477994\pi$
$240$	−2.77301	−	1.00929i	−0.178997	−	0.0651497i
$241$	−0.821060	−	0.298841i	−0.0528891	−	0.0192501i	0.315440	−	0.948945i	$-0.397848\pi$
$241$	−0.821060	−	0.298841i	−0.0528891	−	0.0192501i	−0.368329	+	0.929695i	$0.620070\pi$
$242$	−4.97958	−	4.17836i	−0.320099	−	0.268595i
$243$	0.853291	−	4.83926i	0.0547387	−	0.310438i
$244$	0.320861	−	1.81969i	0.0205410	−	0.116494i
$245$	1.17041	+	2.02722i	0.0747751	+	0.129514i
$246$	−0.328709	+	0.275820i	−0.0209577	+	0.0175856i
$247$	1.77208	−	0.644985i	0.112755	−	0.0410394i
$248$	5.16478	−	8.94567i	0.327964	−	0.568051i
$249$	4.42214	+	7.65937i	0.280242	+	0.485393i
$250$	−0.766044	−	0.642788i	−0.0484489	−	0.0406535i
$251$	−5.83344	+	10.1038i	−0.368204	+	0.637747i	−0.989285	−	0.145999i	$-0.953360\pi$
$251$	−5.83344	+	10.1038i	−0.368204	+	0.637747i	0.621081	+	0.783746i	$0.286694\pi$
$252$	−3.02948	−	17.1811i	−0.190840	−	1.08231i
$253$	−2.95506			−0.185783
$254$	3.27568	+	18.5773i	0.205534	+	1.16564i
$255$	12.2713	−	10.2968i	0.768455	−	0.644811i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−20.7947	+	7.56866i	−1.29714	+	0.472120i	−0.896064	−	0.443925i	$-0.853586\pi$
$257$	−20.7947	+	7.56866i	−1.29714	+	0.472120i	−0.401075	+	0.916045i	$0.631363\pi$
$258$	−21.5550			−1.34196
$259$	−5.79724	+	17.6636i	−0.360223	+	1.09756i
$260$	−1.07405			−0.0666100
$261$	−54.9079	+	19.9848i	−3.39871	+	1.23703i
$262$	16.7102	+	6.08201i	1.03236	+	0.375748i
$263$	−18.4395	+	15.4726i	−1.13703	+	0.954080i	−0.999337	−	0.0363953i	$-0.988412\pi$
$263$	−18.4395	+	15.4726i	−1.13703	+	0.954080i	−0.137691	+	0.990475i	$0.543968\pi$
$264$	1.08699	+	6.16461i	0.0668995	+	0.379406i
$265$	−4.50576			−0.276787
$266$	0.931826	+	5.28465i	0.0571339	+	0.324023i
$267$	1.10138	−	1.90765i	0.0674034	−	0.116746i
$268$	−7.18945	−	6.03266i	−0.439165	−	0.368504i
$269$	−1.67539	−	2.90186i	−0.102150	−	0.176930i	0.810420	−	0.585849i	$-0.199239\pi$
$269$	−1.67539	−	2.90186i	−0.102150	−	0.176930i	−0.912570	+	0.408920i	$0.865906\pi$
$270$	−3.99605	+	6.92137i	−0.243192	+	0.421221i
$271$	6.98318	−	2.54167i	0.424198	−	0.154395i	−0.121095	−	0.992641i	$-0.538641\pi$
$271$	6.98318	−	2.54167i	0.424198	−	0.154395i	0.545293	+	0.838246i	$0.316418\pi$
$272$	4.15836	−	3.48928i	0.252138	−	0.211569i
$273$	−4.84345	−	8.38911i	−0.293139	−	0.507732i
$274$	−0.306649	+	1.73909i	−0.0185253	+	0.105062i
$275$	−0.368348	+	2.08901i	−0.0222122	+	0.125972i
$276$	−3.14919	−	2.64248i	−0.189559	−	0.159059i
$277$	−2.81427	−	1.02431i	−0.169093	−	0.0615449i	0.256086	−	0.966654i	$-0.417567\pi$
$277$	−2.81427	−	1.02431i	−0.169093	−	0.0615449i	−0.425180	+	0.905109i	$0.639789\pi$
$278$	3.93881	+	1.43361i	0.236234	+	0.0859821i
$279$	−45.1692	−	37.9014i	−2.70421	−	2.26910i
$280$	0.530717	−	3.00985i	0.0317164	−	0.179873i
$281$	4.12403	−	23.3885i	0.246019	−	1.39524i	−0.572096	−	0.820187i	$-0.693869\pi$
$281$	4.12403	−	23.3885i	0.246019	−	1.39524i	0.818114	−	0.575055i	$-0.195020\pi$
$282$	−10.9374	−	18.9442i	−0.651313	−	1.12811i
$283$	18.9342	−	15.8877i	1.12552	−	0.944424i	0.126650	−	0.991947i	$-0.459577\pi$
$283$	18.9342	−	15.8877i	1.12552	−	0.944424i	0.998870	+	0.0475239i	$0.0151330\pi$
$284$	−6.84207	+	2.49031i	−0.406002	+	0.147773i
$285$	2.59065	−	4.48713i	0.153457	−	0.265795i
$286$	1.13916	+	1.97308i	0.0673598	+	0.116671i
$287$	−0.340438	−	0.285662i	−0.0200954	−	0.0168621i
$288$	−2.85414	+	4.94352i	−0.168182	+	0.291300i
$289$	2.16488	+	12.2777i	0.127346	+	0.722216i
$290$	−10.2363			−0.601096
$291$	−4.41198	−	25.0216i	−0.258635	−	1.46679i
$292$	−12.0411	+	10.1037i	−0.704652	+	0.591273i
$293$	−6.36574	−	2.31694i	−0.371890	−	0.135357i	0.149312	−	0.988790i	$-0.452294\pi$
$293$	−6.36574	−	2.31694i	−0.371890	−	0.135357i	−0.521202	+	0.853433i	$0.674516\pi$
$294$	6.49116	−	2.36259i	0.378572	−	0.137789i
$295$	7.45560			0.434082
$296$	5.16802	−	3.20805i	0.300385	−	0.186464i
$297$	16.9531			0.983719
$298$	12.9979	−	4.73083i	0.752945	−	0.274050i
$299$	−1.40601	−	0.511747i	−0.0813119	−	0.0295951i
$300$	−2.26058	+	1.89685i	−0.130515	+	0.109515i
$301$	−3.87654	−	21.9850i	−0.223440	−	1.26719i
$302$	−15.6925			−0.903002
$303$	8.93643	+	50.6810i	0.513385	+	2.91155i
$304$	0.877894	−	1.52056i	0.0503507	−	0.0872099i
$305$	−1.41547	−	1.18772i	−0.0810495	−	0.0680086i
$306$	−15.4933	−	26.8352i	−0.885694	−	1.53407i
$307$	−4.02328	+	6.96853i	−0.229621	+	0.397715i	−0.957696	−	0.287783i	$-0.907082\pi$
$307$	−4.02328	+	6.96853i	−0.229621	+	0.397715i	0.728075	+	0.685497i	$0.240415\pi$
$308$	−6.09209	+	2.21734i	−0.347129	+	0.126345i
$309$	9.96346	−	8.36034i	0.566802	−	0.475603i
$310$	−5.16478	−	8.94567i	−0.293340	−	0.508080i
$311$	0.166156	−	0.942315i	0.00942182	−	0.0534338i	−0.979734	−	0.200301i	$-0.935808\pi$
$311$	0.166156	−	0.942315i	0.00942182	−	0.0534338i	0.989156	+	0.146867i	$0.0469191\pi$
$312$	−0.550380	+	3.12136i	−0.0311591	+	0.176712i
$313$	18.0064	+	15.1091i	1.01778	+	0.854019i	0.989347	−	0.145577i	$-0.0465039\pi$
$313$	18.0064	+	15.1091i	1.01778	+	0.854019i	0.0284329	+	0.999596i	$0.490948\pi$
$314$	1.87952	+	0.684090i	0.106067	+	0.0386054i
$315$	−16.3940	−	5.96692i	−0.923696	−	0.336198i
$316$	8.90043	+	7.46835i	0.500688	+	0.420127i
$317$	2.98973	−	16.9556i	0.167920	−	0.952321i	−0.778083	−	0.628162i	$-0.783808\pi$
$317$	2.98973	−	16.9556i	0.167920	−	0.952321i	0.946003	−	0.324159i	$-0.105081\pi$
$318$	−2.30890	+	13.0944i	−0.129477	+	0.734299i
$319$	10.8568	+	18.8045i	0.607863	+	1.05285i
$320$	−0.766044	+	0.642788i	−0.0428232	+	0.0359329i
$321$	8.64249	−	3.14561i	0.482377	−	0.175571i
$322$	2.12883	−	3.68724i	0.118635	−	0.205482i
$323$	4.76552	+	8.25412i	0.265161	+	0.459272i
$324$	4.94841	+	4.15221i	0.274911	+	0.230678i
$325$	−0.537027	+	0.930158i	−0.0297889	+	0.0515959i
$326$	1.05067	+	5.95863i	0.0581911	+	0.330018i
$327$	−32.5826			−1.80182
$328$	0.0252500	+	0.143200i	0.00139420	+	0.00790690i
$329$	17.3550	−	14.5626i	0.956813	−	0.802861i
$330$	5.88221	+	2.14095i	0.323805	+	0.117855i
$331$	8.27798	−	3.01294i	0.454999	−	0.165606i	−0.104346	−	0.994541i	$-0.533275\pi$
$331$	8.27798	−	3.01294i	0.454999	−	0.165606i	0.559345	+	0.828935i	$0.311053\pi$
$332$	2.99706			0.164485
$333$	−12.9116	−	32.2323i	−0.707550	−	1.76632i
$334$	−25.2918			−1.38391
$335$	−8.81916	+	3.20991i	−0.481842	+	0.175376i
$336$	−8.47510	−	3.08468i	−0.462355	−	0.168283i
$337$	12.3325	−	10.3482i	0.671795	−	0.563703i	−0.241801	−	0.970326i	$-0.577738\pi$
$337$	12.3325	−	10.3482i	0.671795	−	0.563703i	0.913596	+	0.406623i	$0.133294\pi$
$338$	−2.05711	−	11.6664i	−0.111892	−	0.634570i
$339$	5.50508			0.298995
$340$	−0.942624	−	5.34589i	−0.0511210	−	0.289922i
$341$	−10.9557	+	18.9758i	−0.593285	+	1.02760i
$342$	−7.67771	−	6.44236i	−0.415163	−	0.348363i
$343$	−7.11986	−	12.3320i	−0.384436	−	0.665863i
$344$	−3.65218	+	6.32575i	−0.196912	+	0.341062i
$345$	−3.86305	+	1.40603i	−0.207980	+	0.0756983i
$346$	7.72362	−	6.48088i	0.415224	−	0.348414i
$347$	3.35116	+	5.80438i	0.179900	+	0.311595i	0.941846	−	0.336045i	$-0.109089\pi$
$347$	3.35116	+	5.80438i	0.179900	+	0.311595i	−0.761946	+	0.647640i	$0.775756\pi$
$348$	−5.24541	+	29.7482i	−0.281183	+	1.59467i
$349$	−5.94423	+	33.7114i	−0.318187	+	1.80453i	0.235576	+	0.971856i	$0.424302\pi$
$349$	−5.94423	+	33.7114i	−0.318187	+	1.80453i	−0.553763	+	0.832674i	$0.686809\pi$
$350$	−2.34124	−	1.96454i	−0.125145	−	0.105009i
$351$	8.06627	+	2.93588i	0.430546	+	0.156706i
$352$	1.99331	+	0.725504i	0.106244	+	0.0386695i
$353$	−20.0239	−	16.8020i	−1.06576	−	0.894281i	−0.0711010	−	0.997469i	$-0.522651\pi$
$353$	−20.0239	−	16.8020i	−1.06576	−	0.894281i	−0.994662	+	0.103188i	$0.967096\pi$
$354$	3.82049	−	21.6671i	0.203057	−	1.15159i
$355$	−1.26436	+	7.17056i	−0.0671054	+	0.380574i
$356$	−0.373225	−	0.646445i	−0.0197809	−	0.0342615i
$357$	37.5043	−	31.4699i	1.98494	−	1.66556i
$358$	13.3277	−	4.85089i	0.704391	−	0.256377i
$359$	7.82722	−	13.5571i	0.413105	−	0.715519i	−0.582123	−	0.813101i	$-0.697778\pi$
$359$	7.82722	−	13.5571i	0.413105	−	0.715519i	0.995227	+	0.0975823i	$0.0311109\pi$
$360$	2.85414	+	4.94352i	0.150427	+	0.260546i
$361$	−12.1933	−	10.2314i	−0.641752	−	0.538494i
$362$	−4.81595	+	8.34148i	−0.253121	+	0.438418i
$363$	3.33100	+	18.8911i	0.174832	+	0.991524i
$364$	−3.28261			−0.172055
$365$	2.72950	+	15.4797i	0.142868	+	0.810247i
$366$	−4.17702	+	3.50494i	−0.218336	+	0.183206i
$367$	16.1663	+	5.88405i	0.843873	+	0.307145i	0.727540	−	0.686065i	$-0.240664\pi$
$367$	16.1663	+	5.88405i	0.843873	+	0.307145i	0.116333	+	0.993210i	$0.462886\pi$
$368$	−1.30907	+	0.476463i	−0.0682401	+	0.0248374i
$369$	0.830037			0.0432100
$370$	−0.194249	−	6.07966i	−0.0100985	−	0.316066i
$371$	−13.7709			−0.714948
$372$	−28.6440	+	10.4256i	−1.48512	+	0.540541i
$373$	4.08819	+	1.48798i	0.211678	+	0.0770446i	0.445683	−	0.895191i	$-0.352961\pi$
$373$	4.08819	+	1.48798i	0.211678	+	0.0770446i	−0.234005	+	0.972235i	$0.575183\pi$
$374$	−8.82085	+	7.40157i	−0.456115	+	0.382726i
$375$	0.512432	+	2.90615i	0.0264619	+	0.150073i
$376$	−7.41273			−0.382282
$377$	1.90915	+	10.8273i	0.0983260	+	0.557634i
$378$	−12.2130	+	21.1536i	−0.628171	+	1.08802i
$379$	25.7754	+	21.6281i	1.32399	+	1.11096i	0.985441	+	0.170015i	$0.0543817\pi$
$379$	25.7754	+	21.6281i	1.32399	+	1.11096i	0.338552	+	0.940948i	$0.390063\pi$
$380$	−0.877894	−	1.52056i	−0.0450350	−	0.0780029i
$381$	27.8335	−	48.2090i	1.42595	−	2.46982i
$382$	0.0528020	−	0.0192184i	0.00270159	−	0.000983297i
$383$	4.21167	−	3.53401i	0.215206	−	0.180579i	−0.528812	−	0.848739i	$-0.677362\pi$
$383$	4.21167	−	3.53401i	0.215206	−	0.180579i	0.744018	+	0.668160i	$0.232918\pi$
$384$	1.47549	+	2.55562i	0.0752958	+	0.130416i
$385$	−1.12577	+	6.38458i	−0.0573747	+	0.325388i
$386$	3.93951	−	22.3421i	0.200516	−	1.13718i
$387$	31.9405	+	26.8012i	1.62363	+	1.36238i
$388$	−8.09064	−	2.94475i	−0.410740	−	0.149497i
$389$	32.3923	+	11.7898i	1.64235	+	0.597768i	0.987448	−	0.157943i	$-0.0504864\pi$
$389$	32.3923	+	11.7898i	1.64235	+	0.597768i	0.654905	+	0.755711i	$0.272709\pi$
$390$	2.42799	+	2.03732i	0.122946	+	0.103164i
$391$	1.31316	−	7.44728i	0.0664092	−	0.376625i
$392$	0.406481	−	2.30527i	0.0205304	−	0.116434i
$393$	−26.2381	−	45.4457i	−1.32354	−	2.29243i
$394$	−18.8664	+	15.8308i	−0.950475	+	0.797543i
$395$	10.9180	−	3.97383i	0.549344	−	0.199945i
$396$	6.05430	−	10.4864i	0.304240	−	0.526959i
$397$	4.25092	+	7.36280i	0.213347	+	0.369529i	0.952760	−	0.303724i	$-0.0982300\pi$
$397$	4.25092	+	7.36280i	0.213347	+	0.369529i	−0.739413	+	0.673252i	$0.764897\pi$
$398$	18.0452	+	15.1417i	0.904524	+	0.758985i
$399$	7.91774	−	13.7139i	0.396383	−	0.686555i
$400$	0.173648	+	0.984808i	0.00868241	+	0.0492404i
$401$	0.0246157			0.00122925			0.000614625	−	1.00000i	$-0.499804\pi$
$401$	0.0246157			0.00122925			0.000614625		1.00000i	$0.499804\pi$
$402$	4.80926	+	27.2747i	0.239864	+	1.36034i
$403$	−8.49889	+	7.13141i	−0.423360	+	0.355241i
$404$	16.3875	+	5.96457i	0.815310	+	0.296749i
$405$	6.07012	−	2.20934i	0.301627	−	0.109783i
$406$	−31.2850			−1.55265
$407$	−10.9626	+	6.80503i	−0.543394	+	0.337313i
$408$	−16.0190			−0.793058
$409$	2.75470	−	1.00263i	0.136211	−	0.0495769i	−0.273015	−	0.962010i	$-0.588021\pi$
$409$	2.75470	−	1.00263i	0.136211	−	0.0495769i	0.409226	+	0.912433i	$0.365799\pi$
$410$	0.136640	+	0.0497328i	0.00674816	+	0.00245613i
$411$	3.99201	−	3.34969i	0.196911	−	0.165228i
$412$	−0.765350	−	4.34052i	−0.0377061	−	0.213842i
$413$	22.7864			1.12124
$414$	1.38087	+	7.83132i	0.0678662	+	0.384889i
$415$	1.49853	−	2.59553i	0.0735600	−	0.127410i
$416$	0.822773	+	0.690388i	0.0403398	+	0.0338491i
$417$	−6.18465	−	10.7121i	−0.302864	−	0.524575i
$418$	−1.86222	+	3.22545i	−0.0910839	+	0.157762i
$419$	8.97573	−	3.26690i	0.438493	−	0.159598i	−0.113334	−	0.993557i	$-0.536153\pi$
$419$	8.97573	−	3.26690i	0.438493	−	0.159598i	0.551827	+	0.833958i	$0.313931\pi$
$420$	−6.90897	+	5.79731i	−0.337123	+	0.282880i
$421$	−14.0345	−	24.3084i	−0.683998	−	1.18472i	−0.973751	−	0.227618i	$-0.926906\pi$
$421$	−14.0345	−	24.3084i	−0.683998	−	1.18472i	0.289752	−	0.957102i	$-0.406427\pi$
$422$	−1.34735	+	7.64123i	−0.0655882	+	0.371969i
$423$	−7.34775	+	41.6712i	−0.357260	+	2.02612i
$424$	3.45162	+	2.89625i	0.167625	+	0.140654i
$425$	−5.10099	−	1.85661i	−0.247434	−	0.0900587i
$426$	20.1908	+	7.34885i	0.978248	+	0.356053i
$427$	−4.32607	−	3.63000i	−0.209353	−	0.175668i
$428$	0.541199	−	3.06929i	0.0261598	−	0.148360i
$429$	1.16748	−	6.62113i	0.0563666	−	0.319671i
$430$	3.65218	+	6.32575i	0.176124	+	0.305055i
$431$	30.8041	−	25.8477i	1.48378	−	1.24504i	0.581747	−	0.813370i	$-0.302369\pi$
$431$	30.8041	−	25.8477i	1.48378	−	1.24504i	0.902032	−	0.431669i	$-0.142075\pi$
$432$	7.51012	−	2.73346i	0.361331	−	0.131514i
$433$	−6.88457	+	11.9244i	−0.330851	+	0.573051i	−0.982679	−	0.185316i	$-0.940669\pi$
$433$	−6.88457	+	11.9244i	−0.330851	+	0.573051i	0.651828	+	0.758367i	$0.274003\pi$
$434$	−15.7850	−	27.3404i	−0.757705	−	1.31238i
$435$	23.1400	+	19.4168i	1.10948	+	0.930962i
$436$	−5.52063	+	9.56202i	−0.264390	+	0.457938i
$437$	−0.424737	−	2.40880i	−0.0203179	−	0.115229i
$438$	46.3851			2.21637
$439$	−1.48609	−	8.42806i	−0.0709274	−	0.402249i	−0.999515	−	0.0311364i	$-0.990087\pi$
$439$	−1.48609	−	8.42806i	−0.0709274	−	0.402249i	0.928588	−	0.371113i	$-0.121024\pi$
$440$	1.62496	−	1.36350i	0.0774668	−	0.0650024i
$441$	−12.5563	−	4.57012i	−0.597919	−	0.217625i
$442$	−5.47873	+	1.99410i	−0.260597	+	0.0948495i
$443$	−13.7685			−0.654161			−0.327080	−	0.944997i	$-0.606065\pi$
$443$	−13.7685			−0.654161			−0.327080	+	0.944997i	$0.606065\pi$
$444$	−17.7679	−	2.55090i	−0.843229	−	0.121060i
$445$	−0.746450			−0.0353851
$446$	−20.4203	+	7.43236i	−0.966927	+	0.351933i
$447$	−38.3564	−	13.9606i	−1.81420	−	0.660313i
$448$	−2.34124	+	1.96454i	−0.110613	+	0.0928157i
$449$	−4.99605	−	28.3340i	−0.235778	−	1.33716i	−0.840969	−	0.541083i	$-0.818014\pi$
$449$	−4.99605	−	28.3340i	−0.235778	−	1.33716i	0.605191	−	0.796080i	$-0.293097\pi$
$450$	5.70829			0.269091
$451$	−0.0535611	−	0.303760i	−0.00252210	−	0.0143035i
$452$	0.932755	−	1.61558i	0.0438731	−	0.0759904i
$453$	35.4742	+	29.7664i	1.66672	+	1.39855i
$454$	−2.77051	−	4.79866i	−0.130026	−	0.225212i
$455$	−1.64130	+	2.84282i	−0.0769455	+	0.133273i
$456$	−4.86882	+	1.77211i	−0.228004	+	0.0829865i
$457$	−5.42251	+	4.55002i	−0.253654	+	0.212841i	−0.760744	−	0.649052i	$-0.775166\pi$
$457$	−5.42251	+	4.55002i	−0.253654	+	0.212841i	0.507090	+	0.861893i	$0.330721\pi$
$458$	−5.39502	−	9.34444i	−0.252093	−	0.436637i
$459$	−7.53355	+	42.7249i	−0.351636	+	1.99423i
$460$	−0.241907	+	1.37192i	−0.0112790	+	0.0639662i
$461$	−21.2909	−	17.8652i	−0.991616	−	0.832065i	−0.00581525	−	0.999983i	$-0.501851\pi$
$461$	−21.2909	−	17.8652i	−0.991616	−	0.832065i	−0.985801	+	0.167918i	$0.946296\pi$
$462$	17.9777	+	6.54333i	0.836396	+	0.304423i
$463$	19.0524	+	6.93449i	0.885438	+	0.322273i	0.744402	−	0.667731i	$-0.232734\pi$
$463$	19.0524	+	6.93449i	0.885438	+	0.322273i	0.141036	+	0.990004i	$0.454957\pi$
$464$	7.84146	+	6.57976i	0.364031	+	0.305458i
$465$	−5.29321	+	30.0193i	−0.245467	+	1.39211i
$466$	0.755236	−	4.28316i	0.0349856	−	0.198413i
$467$	−19.6973	−	34.1168i	−0.911484	−	1.57874i	−0.811969	−	0.583700i	$-0.801604\pi$
$467$	−19.6973	−	34.1168i	−0.911484	−	1.57874i	−0.0995147	−	0.995036i	$-0.531729\pi$
$468$	4.69662	−	3.94094i	0.217102	−	0.182170i
$469$	−26.9538	+	9.81038i	−1.24461	+	0.453001i
$470$	−3.70637	+	6.41961i	−0.170962	+	0.296115i
$471$	−2.95119	−	5.11162i	−0.135984	−	0.235531i
$472$	−5.71132	−	4.79237i	−0.262885	−	0.220587i
$473$	7.74711	−	13.4184i	0.356212	−	0.616978i
$474$	−5.95379	−	33.7656i	−0.273467	−	1.55091i
$475$	−1.75579			−0.0805610
$476$	−2.88092	−	16.3385i	−0.132047	−	0.748875i
$477$	19.7028	−	16.5326i	0.902130	−	0.756977i
$478$	−20.1688	−	7.34084i	−0.922499	−	0.335762i
$479$	−4.51282	+	1.64253i	−0.206196	+	0.0750492i	−0.443053	−	0.896495i	$-0.646105\pi$
$479$	−4.51282	+	1.64253i	−0.206196	+	0.0750492i	0.236857	+	0.971544i	$0.423883\pi$
$480$	2.95098			0.134693
$481$	−6.39445	+	1.33937i	−0.291562	+	0.0610699i
$482$	0.873754			0.0397984
$483$	−11.8065	+	4.29723i	−0.537216	+	0.195531i
$484$	6.10836	+	2.22326i	0.277653	+	0.101057i
$485$	−6.59555	+	5.53432i	−0.299488	+	0.251301i
$486$	0.853291	+	4.83926i	0.0387061	+	0.219513i
$487$	16.9987			0.770285			0.385142	−	0.922857i	$-0.374152\pi$
$487$	16.9987			0.770285			0.385142	+	0.922857i	$0.374152\pi$
$488$	0.320861	+	1.81969i	0.0145247	+	0.0823736i
$489$	8.92754	−	15.4629i	0.403717	−	0.699259i
$490$	−1.79318	−	1.50466i	−0.0810076	−	0.0679734i
$491$	−5.86898	−	10.1654i	−0.264863	−	0.458757i	0.702665	−	0.711521i	$-0.251993\pi$
$491$	−5.86898	−	10.1654i	−0.264863	−	0.458757i	−0.967528	+	0.252765i	$0.918660\pi$
$492$	0.214550	−	0.371611i	0.00967265	−	0.0167535i
$493$	−52.2152	+	19.0048i	−2.35166	+	0.855932i
$494$	−1.44461	+	1.21218i	−0.0649963	+	0.0545383i
$495$	−6.05430	−	10.4864i	−0.272121	−	0.471327i
$496$	−1.79371	+	10.1726i	−0.0805400	+	0.456765i
$497$	−3.86424	+	21.9152i	−0.173335	+	0.983032i
$498$	−6.77511	−	5.68499i	−0.303600	−	0.254751i
$499$	−32.2639	−	11.7431i	−1.44433	−	0.525694i	−0.503329	−	0.864095i	$-0.667892\pi$
$499$	−32.2639	−	11.7431i	−1.44433	−	0.525694i	−0.941002	+	0.338401i	$0.890114\pi$
$500$	0.939693	+	0.342020i	0.0420243	+	0.0152956i
$501$	57.1743	+	47.9749i	2.55436	+	2.14336i
$502$	2.02593	−	11.4896i	0.0904218	−	0.512808i
$503$	2.10844	−	11.9575i	0.0940106	−	0.533161i	−0.901035	−	0.433746i	$-0.857192\pi$
$503$	2.10844	−	11.9575i	0.0940106	−	0.533161i	0.995046	−	0.0994152i	$-0.0316972\pi$
$504$	8.72305	+	15.1088i	0.388556	+	0.672998i
$505$	13.3592	−	11.2097i	0.594478	−	0.498826i
$506$	2.77685	−	1.01069i	0.123446	−	0.0449306i
$507$	−17.4793	+	30.2750i	−0.776281	+	1.34456i
$508$	−9.43194	−	16.3366i	−0.418475	−	0.724819i
$509$	6.66693	+	5.59422i	0.295506	+	0.247959i	0.778471	−	0.627681i	$-0.215996\pi$
$509$	6.66693	+	5.59422i	0.295506	+	0.247959i	−0.482965	+	0.875640i	$0.660440\pi$
$510$	−8.00949	+	13.8728i	−0.354666	+	0.614300i
$511$	8.34210	+	47.3104i	0.369033	+	2.09289i
$512$	1.00000			0.0441942
$513$	2.43671	+	13.8193i	0.107583	+	0.610135i
$514$	16.9520	−	14.2244i	0.747721	−	0.627413i
$515$	−4.14167	−	1.50745i	−0.182504	−	0.0664260i
$516$	20.2551	−	7.37224i	0.891680	−	0.324545i
$517$	15.7241			0.691546
$518$	−0.593680	−	18.5811i	−0.0260848	−	0.816408i
$519$	−29.7532			−1.30602
$520$	1.00928	−	0.367348i	0.0442599	−	0.0161093i
$521$	16.7653	+	6.10208i	0.734503	+	0.267337i	0.682069	−	0.731287i	$-0.261080\pi$
$521$	16.7653	+	6.10208i	0.734503	+	0.267337i	0.0524331	+	0.998624i	$0.483302\pi$
$522$	44.7613	−	37.5592i	1.95915	−	1.64392i
$523$	6.04545	+	34.2854i	0.264349	+	1.49920i	0.770883	+	0.636977i	$0.219815\pi$
$523$	6.04545	+	34.2854i	0.264349	+	1.49920i	−0.506534	+	0.862220i	$0.669074\pi$
$524$	−17.7826			−0.776837
$525$	1.56614	+	8.88200i	0.0683518	+	0.387642i
$526$	12.0355	−	20.8461i	0.524774	−	0.908935i
$527$	−42.9541	−	36.0428i	−1.87111	−	1.57005i
$528$	−3.12986	−	5.42107i	−0.136210	−	0.235922i
$529$	10.5297	−	18.2379i	0.457811	−	0.792952i
$530$	4.23403	−	1.54106i	0.183915	−	0.0669395i
$531$	−32.6019	+	27.3562i	−1.41480	+	1.18716i
$532$	−2.68309	−	4.64724i	−0.116327	−	0.201483i
$533$	0.0271199	−	0.153804i	0.00117469	−	0.00666201i
$534$	−0.382505	+	2.16930i	−0.0165526	+	0.0938746i
$535$	−2.38748	−	2.00334i	−0.103220	−	0.0866118i
$536$	8.81916	+	3.20991i	0.380930	+	0.138647i
$537$	−39.3298	−	14.3149i	−1.69721	−	0.617732i
$538$	2.56685	+	2.15384i	0.110665	+	0.0928586i
$539$	−0.862240	+	4.89001i	−0.0371393	+	0.210627i
$540$	1.38781	−	7.87069i	0.0597220	−	0.338700i
$541$	10.7570	+	18.6317i	0.462480	+	0.801040i	0.999084	−	0.0427950i	$-0.0136262\pi$
$541$	10.7570	+	18.6317i	0.462480	+	0.801040i	−0.536603	+	0.843835i	$0.680293\pi$
$542$	−5.69274	+	4.77677i	−0.244524	+	0.205180i
$543$	26.7094	−	9.72144i	1.14621	−	0.417187i
$544$	−2.71418	+	4.70110i	−0.116369	+	0.201558i
$545$	5.52063	+	9.56202i	0.236478	+	0.409592i
$546$	7.42060	+	6.22662i	0.317572	+	0.266475i
$547$	1.34391	−	2.32772i	0.0574615	−	0.0995263i	−0.835864	−	0.548937i	$-0.815033\pi$
$547$	1.34391	−	2.32772i	0.0574615	−	0.0995263i	0.893325	+	0.449411i	$0.148366\pi$
$548$	−0.306649	−	1.73909i	−0.0130994	−	0.0742903i
$549$	10.5476			0.450159
$550$	−0.368348	−	2.08901i	−0.0157064	−	0.0890755i
$551$	−13.7679	+	11.5527i	−0.586534	+	0.492160i
$552$	3.86305	+	1.40603i	0.164422	+	0.0598448i
$553$	33.3684	−	12.1451i	1.41897	−	0.516463i
$554$	2.99489			0.127241
$555$	−11.0931	+	14.1120i	−0.470876	+	0.599023i
$556$	−4.19159			−0.177763
$557$	15.5356	−	5.65450i	0.658265	−	0.239589i	0.00877793	−	0.999961i	$-0.497206\pi$
$557$	15.5356	−	5.65450i	0.658265	−	0.239589i	0.649487	+	0.760373i	$0.274984\pi$
$558$	55.4082	+	20.1669i	2.34562	+	0.853734i
$559$	6.00982	−	5.04284i	0.254188	−	0.213289i
$560$	0.530717	+	3.00985i	0.0224269	+	0.127189i
$561$	33.9800			1.43464
$562$	4.12403	+	23.3885i	0.173962	+	0.986585i
$563$	−6.29299	+	10.8998i	−0.265218	+	0.459371i	−0.967621	−	0.252409i	$-0.918777\pi$
$563$	−6.29299	+	10.8998i	−0.265218	+	0.459371i	0.702403	+	0.711780i	$0.252111\pi$
$564$	16.7571	+	14.0609i	0.705601	+	0.592069i
$565$	−0.932755	−	1.61558i	−0.0392413	−	0.0679679i
$566$	−12.3584	+	21.4054i	−0.519463	+	0.899736i
$567$	18.5520	−	6.75236i	0.779109	−	0.283573i
$568$	5.57771	−	4.68025i	0.234035	−	0.196379i
$569$	−14.3948	−	24.9325i	−0.603461	−	1.04523i	−0.992293	−	0.123916i	$-0.960455\pi$
$569$	−14.3948	−	24.9325i	−0.603461	−	1.04523i	0.388832	−	0.921309i	$-0.372879\pi$
$570$	−0.899722	+	5.10258i	−0.0376852	+	0.213724i
$571$	3.73612	−	21.1886i	0.156352	−	0.886714i	−0.801188	−	0.598413i	$-0.795798\pi$
$571$	3.73612	−	21.1886i	0.156352	−	0.886714i	0.957540	−	0.288301i	$-0.0930905\pi$
$572$	−1.74529	−	1.46447i	−0.0729743	−	0.0612327i
$573$	−0.155818	−	0.0567130i	−0.00650938	−	0.00236922i
$574$	0.417609	+	0.151997i	0.0174307	+	0.00634425i
$575$	1.06717	+	0.895458i	0.0445039	+	0.0373432i
$576$	0.991234	−	5.62157i	0.0413014	−	0.234232i
$577$	6.44993	−	36.5794i	0.268514	−	1.52282i	−0.490324	−	0.871540i	$-0.663122\pi$
$577$	6.44993	−	36.5794i	0.268514	−	1.52282i	0.758839	−	0.651279i	$-0.225767\pi$
$578$	−6.23353	−	10.7968i	−0.259281	−	0.449088i
$579$	−51.2853	+	43.0335i	−2.13134	+	1.78841i
$580$	9.61897	−	3.50102i	0.399406	−	0.145372i
$581$	4.57993	−	7.93267i	0.190007	−	0.329103i
$582$	12.7038	+	22.0036i	0.526589	+	0.912079i
$583$	−7.32168	−	6.14362i	−0.303233	−	0.254443i
$584$	7.85927	−	13.6127i	0.325219	−	0.563296i
$585$	−1.06464	−	6.03786i	−0.0440174	−	0.249635i
$586$	6.77427			0.279843
$587$	4.41838	+	25.0579i	0.182366	+	1.03425i	0.929293	+	0.369343i	$0.120417\pi$
$587$	4.41838	+	25.0579i	0.182366	+	1.03425i	−0.746927	+	0.664906i	$0.768472\pi$
$588$	−5.29164	+	4.44021i	−0.218223	+	0.183111i
$589$	−17.0428	−	6.20306i	−0.702235	−	0.255593i
$590$	−7.00597	+	2.54997i	−0.288431	+	0.104980i
$591$	72.6777			2.98956
$592$	−3.75913	+	4.78215i	−0.154499	+	0.196545i
$593$	12.2827			0.504391			0.252196	−	0.967676i	$-0.418847\pi$
$593$	12.2827			0.504391			0.252196	+	0.967676i	$0.418847\pi$
$594$	−15.9307	+	5.79830i	−0.653645	+	0.237907i
$595$	−15.5900	−	5.67431i	−0.639129	−	0.232624i
$596$	−10.5959	+	8.89105i	−0.434027	+	0.364192i
$597$	−12.0710	−	68.4582i	−0.494034	−	2.80181i
$598$	1.49625			0.0611862
$599$	0.651729	+	3.69614i	0.0266289	+	0.151020i	0.995223	−	0.0976269i	$-0.0311252\pi$
$599$	0.651729	+	3.69614i	0.0266289	+	0.151020i	−0.968594	+	0.248647i	$0.920014\pi$
$600$	1.47549	−	2.55562i	0.0602366	−	0.104333i
$601$	0.159890	+	0.134164i	0.00652205	+	0.00547265i	0.646043	−	0.763301i	$-0.276423\pi$
$601$	0.159890	+	0.134164i	0.00652205	+	0.00547265i	−0.639521	+	0.768774i	$0.720867\pi$
$602$	11.1621	+	19.3333i	0.454932	+	0.787965i
$603$	26.7866	−	46.3957i	1.09083	−	1.88938i
$604$	14.7461	−	5.36715i	0.600011	−	0.218386i
$605$	4.97958	−	4.17836i	0.202449	−	0.169875i
$606$	−25.7314	−	44.5681i	−1.04527	−	1.81046i
$607$	8.18171	−	46.4008i	0.332085	−	1.88335i	−0.122218	−	0.992503i	$-0.539001\pi$
$607$	8.18171	−	46.4008i	0.332085	−	1.88335i	0.454304	−	0.890847i	$-0.349888\pi$
$608$	−0.304889	+	1.72911i	−0.0123649	+	0.0701248i
$609$	70.7222	+	59.3430i	2.86581	+	2.40470i
$610$	1.73633	+	0.631972i	0.0703019	+	0.0255878i
$611$	7.48152	+	2.72305i	0.302670	+	0.110163i
$612$	23.7371	+	19.9178i	0.959517	+	0.805130i
$613$	−3.28390	+	18.6239i	−0.132635	+	0.752212i	0.843842	+	0.536592i	$0.180289\pi$
$613$	−3.28390	+	18.6239i	−0.132635	+	0.752212i	−0.976477	+	0.215621i	$0.930823\pi$
$614$	1.39727	−	7.92432i	0.0563893	−	0.319799i
$615$	−0.214550	−	0.371611i	−0.00865148	−	0.0149848i
$616$	4.96632	−	4.16724i	0.200099	−	0.167903i
$617$	−11.1247	+	4.04906i	−0.447863	+	0.163009i	−0.556099	−	0.831116i	$-0.687702\pi$
$617$	−11.1247	+	4.04906i	−0.447863	+	0.163009i	0.108235	+	0.994125i	$0.465480\pi$
$618$	−6.50319	+	11.2639i	−0.261597	+	0.453099i
$619$	10.0363	+	17.3834i	0.403393	+	0.698698i	0.994133	−	0.108164i	$-0.0344973\pi$
$619$	10.0363	+	17.3834i	0.403393	+	0.698698i	−0.590740	+	0.806862i	$0.701164\pi$
$620$	7.91291	+	6.63972i	0.317790	+	0.266658i
$621$	5.56684	−	9.64206i	0.223390	−	0.386922i
$622$	0.166156	+	0.942315i	0.00666223	+	0.0377834i
$623$	−2.28136			−0.0914007
$624$	−0.550380	−	3.12136i	−0.0220328	−	0.124954i
$625$	0.766044	−	0.642788i	0.0306418	−	0.0257115i
$626$	−22.0881	−	8.03940i	−0.882817	−	0.321319i
$627$	10.3279	−	3.75905i	0.412457	−	0.150122i
$628$	−2.00014			−0.0798144
$629$	−12.2784	−	30.6516i	−0.489572	−	1.22216i
$630$	17.4461			0.695070
$631$	22.4122	−	8.15737i	0.892215	−	0.324740i	0.145086	−	0.989419i	$-0.453654\pi$
$631$	22.4122	−	8.15737i	0.892215	−	0.324740i	0.747129	+	0.664679i	$0.231432\pi$
$632$	−10.9180	−	3.97383i	−0.434295	−	0.158070i
$633$	17.5401	−	14.7179i	0.697156	−	0.584984i
$634$	2.98973	+	16.9556i	0.118737	+	0.673393i
$635$	−18.8639			−0.748590
$636$	−2.30890	−	13.0944i	−0.0915538	−	0.519228i
$637$	−1.25709	+	2.17734i	−0.0498077	+	0.0862694i
$638$	−16.6335	−	13.9572i	−0.658528	−	0.552571i
$639$	−20.7815	−	35.9947i	−0.822104	−	1.42393i
$640$	0.500000	−	0.866025i	0.0197642	−	0.0342327i
$641$	−40.7418	+	14.8288i	−1.60920	+	0.585703i	−0.981283	−	0.192573i	$-0.938317\pi$
$641$	−40.7418	+	14.8288i	−1.60920	+	0.585703i	−0.627922	+	0.778276i	$0.716094\pi$
$642$	−7.04542	+	5.91181i	−0.278061	+	0.233320i
$643$	−4.00773	−	6.94158i	−0.158049	−	0.273749i	0.776116	−	0.630590i	$-0.217187\pi$
$643$	−4.00773	−	6.94158i	−0.158049	−	0.273749i	−0.934165	+	0.356841i	$0.883854\pi$
$644$	−0.739334	+	4.19297i	−0.0291339	+	0.165226i
$645$	3.74299	−	21.2275i	0.147380	−	0.835833i
$646$	−7.30120	−	6.12644i	−0.287262	−	0.241041i
$647$	−32.5931	−	11.8629i	−1.28137	−	0.466379i	−0.390482	−	0.920611i	$-0.627692\pi$
$647$	−32.5931	−	11.8629i	−1.28137	−	0.466379i	−0.890884	+	0.454232i	$0.849914\pi$
$648$	−6.07012	−	2.20934i	−0.238457	−	0.0867912i
$649$	12.1150	+	10.1657i	0.475557	+	0.399039i
$650$	0.186507	−	1.05774i	0.00731542	−	0.0414878i
$651$	−16.1775	+	91.7472i	−0.634046	+	3.59586i
$652$	−3.02528	−	5.23993i	−0.118479	−	0.205212i
$653$	−2.34014	+	1.96361i	−0.0915769	+	0.0768422i	−0.687427	−	0.726254i	$-0.741260\pi$
$653$	−2.34014	+	1.96361i	−0.0915769	+	0.0768422i	0.595850	+	0.803096i	$0.296815\pi$
$654$	30.6176	−	11.1439i	1.19724	−	0.435761i
$655$	−8.89131	+	15.4002i	−0.347412	+	0.601736i
$656$	−0.0727045	−	0.125928i	−0.00283864	−	0.00491666i
$657$	−68.7341	−	57.6747i	−2.68157	−	2.25011i
$658$	−11.3277	+	19.6201i	−0.441599	+	0.764872i
$659$	0.464217	+	2.63270i	0.0180833	+	0.102556i	0.992514	−	0.122135i	$-0.0389740\pi$
$659$	0.464217	+	2.63270i	0.0180833	+	0.102556i	−0.974430	+	0.224690i	$0.927863\pi$
$660$	−6.25971			−0.243659
$661$	3.27738	+	18.5870i	0.127475	+	0.722949i	0.979807	+	0.199947i	$0.0640770\pi$
$661$	3.27738	+	18.5870i	0.127475	+	0.722949i	−0.852331	+	0.523002i	$0.824812\pi$
$662$	−6.74827	+	5.66247i	−0.262279	+	0.220078i
$663$	16.1676	+	5.88454i	0.627899	+	0.228537i
$664$	−2.81632	+	1.02506i	−0.109294	+	0.0397799i
$665$	−5.36617			−0.208091
$666$	23.1570	+	25.8724i	0.897316	+	1.00254i
$667$	14.2600			0.552151
$668$	23.7665	−	8.65031i	0.919555	−	0.334691i
$669$	60.2598	+	21.9328i	2.32978	+	0.847970i
$670$	7.18945	−	6.03266i	0.277753	−	0.233062i
$671$	−0.680620	−	3.85999i	−0.0262750	−	0.149013i
$672$	9.01901			0.347916
$673$	−3.48475	−	19.7630i	−0.134327	−	0.761808i	−0.975326	−	0.220771i	$-0.929143\pi$
$673$	−3.48475	−	19.7630i	−0.134327	−	0.761808i	0.840998	−	0.541038i	$-0.181968\pi$
$674$	−8.04948	+	13.9421i	−0.310054	+	0.537030i
$675$	−6.12231	−	5.13723i	−0.235648	−	0.197732i
$676$	5.92320	+	10.2593i	0.227816	+	0.394588i
$677$	−9.71467	+	16.8263i	−0.373365	+	0.646687i	−0.990081	−	0.140499i	$-0.955129\pi$
$677$	−9.71467	+	16.8263i	−0.373365	+	0.646687i	0.616716	+	0.787186i	$0.288463\pi$
$678$	−5.17309	+	1.88285i	−0.198671	+	0.0723104i
$679$	−20.1578	+	16.9144i	−0.773586	+	0.649116i
$680$	2.71418	+	4.70110i	0.104084	+	0.180279i
$681$	−2.83939	+	16.1030i	−0.108806	+	0.617069i
$682$	3.80488	−	21.5785i	0.145696	−	0.826284i
$683$	1.90297	+	1.59678i	0.0728150	+	0.0610990i	0.678469	−	0.734629i	$-0.262644\pi$
$683$	1.90297	+	1.59678i	0.0728150	+	0.0610990i	−0.605654	+	0.795728i	$0.707088\pi$
$684$	9.41811	+	3.42791i	0.360110	+	0.131069i
$685$	−1.65942	−	0.603980i	−0.0634032	−	0.0230769i
$686$	10.9083	+	9.15311i	0.416479	+	0.349467i
$687$	−5.52916	+	31.3574i	−0.210951	+	1.19636i
$688$	1.26839	−	7.19338i	0.0483568	−	0.274245i
$689$	−2.41972	−	4.19107i	−0.0921838	−	0.159667i
$690$	3.14919	−	2.64248i	0.119887	−	0.100598i
$691$	17.3672	−	6.32113i	0.660678	−	0.240467i	0.0101489	−	0.999948i	$-0.496769\pi$
$691$	17.3672	−	6.32113i	0.660678	−	0.240467i	0.650529	+	0.759481i	$0.274547\pi$
$692$	−5.04123	+	8.73167i	−0.191639	+	0.331928i
$693$	−18.5036	−	32.0492i	−0.702894	−	1.21745i
$694$	−5.13427	−	4.30817i	−0.194894	−	0.163536i
$695$	−2.09580	+	3.63003i	−0.0794981	+	0.137695i
$696$	−5.24541	−	29.7482i	−0.198827	−	1.12760i
$697$	0.789333			0.0298981
$698$	−5.94423	−	33.7114i	−0.224992	−	1.27600i
$699$	−9.83179	+	8.24985i	−0.371873	+	0.312038i
$700$	2.87196	+	1.04531i	0.108550	+	0.0395089i
$701$	−23.5464	+	8.57020i	−0.889337	+	0.323692i	−0.745972	−	0.665978i	$-0.768015\pi$
$701$	−23.5464	+	8.57020i	−0.889337	+	0.323692i	−0.143365	+	0.989670i	$0.545792\pi$
$702$	−8.58395			−0.323980
$703$	−7.12276	−	7.95798i	−0.268640	−	0.300141i
$704$	−2.12123			−0.0799469
$705$	20.5556	−	7.48163i	0.774169	−	0.281775i
$706$	24.5629	+	8.94017i	0.924437	+	0.336468i
$707$	40.8295	−	34.2600i	1.53555	−	1.28848i
$708$	3.82049	+	21.6671i	0.143583	+	0.814299i
$709$	−22.1798			−0.832981			−0.416491	−	0.909140i	$-0.636740\pi$
$709$	−22.1798			−0.832981			−0.416491	+	0.909140i	$0.636740\pi$
$710$	−1.26436	−	7.17056i	−0.0474507	−	0.269106i
$711$	−33.1614	+	57.4372i	−1.24365	+	2.15406i
$712$	0.571814	+	0.479809i	0.0214296	+	0.0179816i
$713$	7.19499	+	12.4621i	0.269454	+	0.466709i
$714$	−24.4792	+	42.3993i	−0.916112	+	1.58675i
$715$	−2.14092	+	0.779230i	−0.0800658	+	0.0291416i
$716$	−10.8648	+	9.11668i	−0.406038	+	0.340706i
$717$	31.6687	+	54.8518i	1.18269	+	2.04848i
$718$	−2.71837	+	15.4166i	−0.101448	+	0.575343i
$719$	4.43888	−	25.1741i	0.165542	−	0.938836i	−0.782962	−	0.622070i	$-0.786292\pi$
$719$	4.43888	−	25.1741i	0.165542	−	0.938836i	0.948504	−	0.316766i	$-0.102597\pi$
$720$	−4.37280	−	3.66922i	−0.162965	−	0.136744i
$721$	−12.6581	−	4.60717i	−0.471412	−	0.171580i
$722$	14.9573	+	5.44401i	0.556653	+	0.202605i
$723$	−1.97519	−	1.65738i	−0.0734582	−	0.0616387i
$724$	1.67256	−	9.48558i	0.0621603	−	0.352529i
$725$	1.77751	−	10.0808i	0.0660152	−	0.374391i
$726$	−9.59124	−	16.6125i	−0.355964	−	0.616548i
$727$	13.2691	−	11.1341i	0.492125	−	0.412942i	−0.362662	−	0.931921i	$-0.618132\pi$
$727$	13.2691	−	11.1341i	0.492125	−	0.412942i	0.854787	+	0.518979i	$0.173688\pi$
$728$	3.08464	−	1.12272i	0.114324	−	0.0416107i
$729$	16.9400	−	29.3409i	0.627406	−	1.08670i
$730$	−7.85927	−	13.6127i	−0.290885	−	0.503827i
$731$	30.3741	+	25.4869i	1.12343	+	0.942668i
$732$	2.72636	−	4.72219i	0.100769	−	0.174537i
$733$	−2.27815	−	12.9200i	−0.0841454	−	0.477212i	−0.997538	−	0.0701320i	$-0.977658\pi$
$733$	−2.27815	−	12.9200i	−0.0841454	−	0.477212i	0.913392	−	0.407080i	$-0.133453\pi$
$734$	−17.2038			−0.635004
$735$	1.19952	+	6.80280i	0.0442449	+	0.250925i
$736$	1.06717	−	0.895458i	0.0393362	−	0.0330070i
$737$	−18.7075	−	6.80897i	−0.689099	−	0.250812i
$738$	−0.779980	+	0.283889i	−0.0287114	+	0.0104501i
$739$	27.1666			0.999340			0.499670	−	0.866216i	$-0.333455\pi$
$739$	27.1666			0.999340			0.499670	+	0.866216i	$0.333455\pi$
$740$	2.26190	+	5.64657i	0.0831491	+	0.207572i
$741$	5.56499			0.204435
$742$	12.9404	−	4.70991i	0.475056	−	0.172906i
$743$	−25.6317	−	9.32916i	−0.940334	−	0.342254i	−0.174036	−	0.984739i	$-0.555681\pi$
$743$	−25.6317	−	9.32916i	−0.940334	−	0.342254i	−0.766298	+	0.642486i	$0.777903\pi$
$744$	23.3508	−	19.5937i	0.856083	−	0.718339i
$745$	2.40191	+	13.6219i	0.0879990	+	0.499067i
$746$	−4.35056			−0.159285
$747$	2.97079	+	16.8482i	0.108696	+	0.616443i
$748$	5.75740	−	9.97211i	0.210511	−	0.364617i
$749$	−7.29681	−	6.12275i	−0.266620	−	0.223721i
$750$	−1.47549	−	2.55562i	−0.0538773	−	0.0933182i
$751$	−5.13705	+	8.89763i	−0.187454	+	0.324679i	−0.944401	−	0.328797i	$-0.893357\pi$
$751$	−5.13705	+	8.89763i	−0.187454	+	0.324679i	0.756947	+	0.653476i	$0.226690\pi$
$752$	6.96569	−	2.53530i	0.254013	−	0.0924530i
$753$	−26.3740	+	22.1304i	−0.961120	+	0.806476i
$754$	−5.49716	−	9.52137i	−0.200195	−	0.346748i
$755$	2.72497	−	15.4541i	0.0991719	−	0.562432i
$756$	4.24155	−	24.0550i	0.154264	−	0.874872i
$757$	6.74176	+	5.65701i	0.245033	+	0.205608i	0.757030	−	0.653380i	$-0.226650\pi$
$757$	6.74176	+	5.65701i	0.245033	+	0.205608i	−0.511997	+	0.858987i	$0.671094\pi$
$758$	−31.6182	−	11.5081i	−1.14843	−	0.417993i
$759$	−8.19442	−	2.98252i	−0.297439	−	0.108259i
$760$	1.34501	+	1.12860i	0.0487887	+	0.0409386i
$761$	1.89147	−	10.7271i	0.0685658	−	0.388856i	−0.931141	−	0.364658i	$-0.881186\pi$
$761$	1.89147	−	10.7271i	0.0685658	−	0.388856i	0.999707	−	0.0241977i	$-0.00770312\pi$
$762$	−9.66646	+	54.8212i	−0.350179	+	1.98596i
$763$	16.8726	+	29.2242i	0.610829	+	1.05799i
$764$	−0.0430446	+	0.0361187i	−0.00155730	+	0.00130673i
$765$	29.1179	−	10.5981i	1.05276	−	0.383173i
$766$	−2.74897	+	4.76136i	−0.0993243	+	0.172035i
$767$	4.00386	+	6.93488i	0.144571	+	0.250404i
$768$	−2.26058	−	1.89685i	−0.0815717	−	0.0684468i
$769$	22.0571	−	38.2040i	0.795398	−	1.37767i	−0.127188	−	0.991879i	$-0.540595\pi$
$769$	22.0571	−	38.2040i	0.795398	−	1.37767i	0.922586	−	0.385792i	$-0.126072\pi$
$770$	−1.12577	−	6.38458i	−0.0405701	−	0.230084i
$771$	−65.3031			−2.35183
$772$	3.93951	+	22.3421i	0.141786	+	0.804109i
$773$	−15.0938	+	12.6652i	−0.542888	+	0.455537i	−0.872524	−	0.488571i	$-0.837518\pi$
$773$	−15.0938	+	12.6652i	−0.542888	+	0.455537i	0.329636	+	0.944108i	$0.393074\pi$
$774$	−39.1808	−	14.2606i	−1.40832	−	0.512588i
$775$	9.70662	−	3.53292i	0.348672	−	0.126906i
$776$	8.60988			0.309077
$777$	−33.9036	+	43.1303i	−1.21629	+	1.54729i
$778$	−34.4711			−1.23585
$779$	0.239910	−	0.0873203i	0.00859569	−	0.00312857i
$780$	−2.97837	−	1.08404i	−0.106643	−	0.0388147i
$781$	−11.8316	+	9.92790i	−0.423368	+	0.355248i
$782$	1.31316	+	7.44728i	0.0469584	+	0.266314i
$783$	−81.8095			−2.92363
$784$	0.406481	+	2.30527i	0.0145172	+	0.0823310i
$785$	−1.00007	+	1.73218i	−0.0356941	+	0.0618240i
$786$	40.1991	+	33.7310i	1.43385	+	1.20315i
$787$	4.12973	+	7.15291i	0.147209	+	0.254974i	0.930195	−	0.367066i	$-0.119638\pi$
$787$	4.12973	+	7.15291i	0.147209	+	0.254974i	−0.782986	+	0.622039i	$0.786304\pi$
$788$	12.3142	−	21.3287i	0.438674	−	0.759805i
$789$	−66.7494	+	24.2948i	−2.37634	+	0.864918i
$790$	−8.90043	+	7.46835i	−0.316663	+	0.265712i
$791$	−2.85076	−	4.93766i	−0.101361	−	0.175563i
$792$	−2.10264	+	11.9246i	−0.0747139	+	0.423724i
$793$	0.344622	−	1.95445i	0.0122379	−	0.0694044i
$794$	−6.51278	−	5.46487i	−0.231130	−	0.193941i
$795$	−12.4946	−	4.54764i	−0.443136	−	0.161288i
$796$	−22.1357	−	8.05674i	−0.784579	−	0.285563i
$797$	3.05033	+	2.55953i	0.108048	+	0.0906633i	0.695211	−	0.718805i	$-0.255311\pi$
$797$	3.05033	+	2.55953i	0.108048	+	0.0906633i	−0.587163	+	0.809469i	$0.699755\pi$
$798$	−2.74980	+	15.5949i	−0.0973419	+	0.552053i
$799$	−6.98742	+	39.6276i	−0.247197	+	1.40192i
$800$	−0.500000	−	0.866025i	−0.0176777	−	0.0306186i
$801$	3.26408	−	2.73889i	0.115331	−	0.0967738i
$802$	−0.0231312	+	0.00841907i	−0.000816792	+	0.000297288i
$803$	−16.6713	+	28.8756i	−0.588319	+	1.01900i
$804$	−13.8477	−	23.9849i	−0.488371	−	0.845884i
$805$	3.26155	+	2.73677i	0.114955	+	0.0964584i
$806$	5.54726	−	9.60813i	0.195394	−	0.338432i
$807$	−1.71705	−	9.73786i	−0.0604430	−	0.342789i
$808$	−17.4392			−0.613510
$809$	−4.66585	−	26.4614i	−0.164043	−	0.930332i	−0.950046	−	0.312110i	$-0.898964\pi$
$809$	−4.66585	−	26.4614i	−0.164043	−	0.930332i	0.786003	−	0.618222i	$-0.212147\pi$
$810$	−4.94841	+	4.15221i	−0.173869	+	0.145894i
$811$	−24.9214	−	9.07065i	−0.875109	−	0.318513i	−0.134875	−	0.990863i	$-0.543063\pi$
$811$	−24.9214	−	9.07065i	−0.875109	−	0.318513i	−0.740234	+	0.672349i	$0.765285\pi$
$812$	29.3982	−	10.7001i	1.03168	−	0.375499i
$813$	21.9297			0.769110
$814$	7.97398	−	10.1440i	0.279488	−	0.355549i
$815$	−6.05055			−0.211942
$816$	15.0529	−	5.47881i	0.526957	−	0.191797i
$817$	12.0515	+	4.38637i	0.421627	+	0.153460i
$818$	−2.24565	+	1.88433i	−0.0785175	+	0.0658840i
$819$	−3.25383	−	18.4534i	−0.113698	−	0.644813i
$820$	−0.145409			−0.00507791
$821$	1.52343	+	8.63982i	0.0531682	+	0.301532i	0.999783	−	0.0208353i	$-0.00663257\pi$
$821$	1.52343	+	8.63982i	0.0531682	+	0.301532i	−0.946615	+	0.322367i	$0.895521\pi$
$822$	−2.60560	+	4.51303i	−0.0908806	+	0.157410i
$823$	−3.73847	−	3.13695i	−0.130315	−	0.109347i	0.575301	−	0.817942i	$-0.304885\pi$
$823$	−3.73847	−	3.13695i	−0.130315	−	0.109347i	−0.705616	+	0.708595i	$0.749329\pi$
$824$	2.20374	+	3.81699i	0.0767709	+	0.132971i
$825$	−3.12986	+	5.42107i	−0.108968	+	0.188737i
$826$	−21.4122	+	7.79340i	−0.745026	+	0.271167i
$827$	−12.1937	+	10.2318i	−0.424018	+	0.355793i	−0.829689	−	0.558226i	$-0.811482\pi$
$827$	−12.1937	+	10.2318i	−0.424018	+	0.355793i	0.405671	+	0.914019i	$0.367038\pi$
$828$	−3.97607	−	6.88675i	−0.138178	−	0.239331i
$829$	−0.806748	+	4.57530i	−0.0280195	+	0.158907i	−0.995607	−	0.0936288i	$-0.970153\pi$
$829$	−0.806748	+	4.57530i	−0.0280195	+	0.158907i	0.967588	+	0.252535i	$0.0812644\pi$
$830$	−0.520435	+	2.95153i	−0.0180646	+	0.102449i
$831$	−6.77019	−	5.68086i	−0.234855	−	0.197067i
$832$	−1.00928	−	0.367348i	−0.0349905	−	0.0127355i
$833$	−11.9405	−	4.34600i	−0.413715	−	0.150580i
$834$	9.47544	+	7.95084i	0.328108	+	0.275315i
$835$	4.39188	−	24.9076i	0.151987	−	0.861963i
$836$	0.646741	−	3.66785i	0.0223680	−	0.126855i
$837$	−41.2775	−	71.4947i	−1.42676	−	2.47122i
$838$	−7.31708	+	6.13976i	−0.252764	+	0.212095i
$839$	−40.2937	+	14.6657i	−1.39109	+	0.506316i	−0.925522	−	0.378695i	$-0.876373\pi$
$839$	−40.2937	+	14.6657i	−1.39109	+	0.506316i	−0.465571	+	0.885011i	$0.654151\pi$
$840$	4.50951	−	7.81070i	0.155593	−	0.269495i
$841$	−37.8909	−	65.6289i	−1.30658	−	2.26307i
$842$	21.5021	+	18.0424i	0.741010	+	0.621781i
$843$	35.0419	−	60.6944i	1.20691	−	2.09043i
$844$	−1.34735	−	7.64123i	−0.0463779	−	0.263022i
$845$	11.8464			0.407529
$846$	−7.34775	−	41.6712i	−0.252621	−	1.43268i
$847$	15.2190	−	12.7702i	0.522930	−	0.438790i
$848$	−4.23403	−	1.54106i	−0.145397	−	0.0529203i
$849$	68.5401	−	24.9466i	2.35229	−	0.856164i
$850$	5.42836			0.186191
$851$	0.270606	+	8.46949i	0.00927626	+	0.290330i
$852$	−21.4866			−0.736119
$853$	20.1400	−	7.33037i	0.689581	−	0.250987i	0.0266252	−	0.999645i	$-0.491524\pi$
$853$	20.1400	−	7.33037i	0.689581	−	0.250987i	0.662956	+	0.748659i	$0.269302\pi$
$854$	5.30671	+	1.93148i	0.181592	+	0.0660940i
$855$	7.67771	−	6.44236i	0.262572	−	0.220324i
$856$	0.541199	+	3.06929i	0.0184978	+	0.104906i
$857$	−8.53755			−0.291637			−0.145819	−	0.989311i	$-0.546582\pi$
$857$	−8.53755			−0.291637			−0.145819	+	0.989311i	$0.546582\pi$
$858$	1.16748	+	6.62113i	0.0398572	+	0.226042i
$859$	19.3278	−	33.4767i	0.659455	−	1.14221i	−0.321301	−	0.946977i	$-0.604120\pi$
$859$	19.3278	−	33.4767i	0.659455	−	1.14221i	0.980757	−	0.195233i	$-0.0625464\pi$
$860$	−5.59546	−	4.69515i	−0.190804	−	0.160103i
$861$	−0.655723	−	1.13575i	−0.0223470	−	0.0387061i
$862$	−20.1059	+	34.8245i	−0.684810	+	1.18613i
$863$	−15.4294	+	5.61586i	−0.525224	+	0.191166i	−0.591005	−	0.806668i	$-0.701269\pi$
$863$	−15.4294	+	5.61586i	−0.525224	+	0.191166i	0.0657804	+	0.997834i	$0.479046\pi$
$864$	−6.12231	+	5.13723i	−0.208285	+	0.174772i
$865$	5.04123	+	8.73167i	0.171407	+	0.296886i
$866$	2.39099	−	13.5600i	0.0812490	−	0.460786i
$867$	−6.38853	+	36.2312i	−0.216966	+	1.23047i
$868$	24.1840	+	20.2928i	0.820860	+	0.688783i
$869$	23.1596	+	8.42940i	0.785635	+	0.285948i
$870$	−28.3854	−	10.3314i	−0.962355	−	0.350269i
$871$	−7.72185	−	6.47940i	−0.261645	−	0.219546i
$872$	1.91730	−	10.8735i	0.0649278	−	0.368224i
$873$	8.53440	−	48.4010i	0.288846	−	1.63813i
$874$	1.22298	+	2.11827i	0.0413680	+	0.0716514i
$875$	2.34124	−	1.96454i	0.0791485	−	0.0664135i
$876$	−43.5878	+	15.8646i	−1.47269	+	0.536017i
$877$	−22.3489	+	38.7095i	−0.754669	+	1.30713i	0.190869	+	0.981615i	$0.438869\pi$
$877$	−22.3489	+	38.7095i	−0.754669	+	1.30713i	−0.945539	+	0.325510i	$0.894464\pi$
$878$	4.27904	+	7.41151i	0.144411	+	0.250126i
$879$	−15.3138	−	12.8498i	−0.516522	−	0.433413i
$880$	−1.06062	+	1.83704i	−0.0357534	+	0.0619266i
$881$	1.84360	+	10.4556i	0.0621125	+	0.352257i	0.999986	+	0.00528024i	$0.00168076\pi$
$881$	1.84360	+	10.4556i	0.0621125	+	0.352257i	−0.937874	+	0.346977i	$0.887208\pi$
$882$	13.3621			0.449926
$883$	5.19410	+	29.4572i	0.174795	+	0.991314i	0.938380	+	0.345606i	$0.112327\pi$
$883$	5.19410	+	29.4572i	0.174795	+	0.991314i	−0.763584	+	0.645708i	$0.776562\pi$
$884$	4.46631	−	3.74768i	0.150218	−	0.126048i
$885$	20.6745	+	7.52490i	0.694965	+	0.252947i
$886$	12.9381	−	4.70910i	0.434666	−	0.158205i
$887$	42.6010			1.43040			0.715201	−	0.698919i	$-0.246335\pi$
$887$	42.6010			1.43040			0.715201	+	0.698919i	$0.246335\pi$
$888$	17.5689	−	3.67993i	0.589572	−	0.123490i
$889$	−57.6532			−1.93363
$890$	0.701434	−	0.255301i	0.0235121	−	0.00855771i
$891$	12.8761	+	4.68653i	0.431366	+	0.157005i
$892$	16.6467	−	13.9683i	0.557374	−	0.467692i
$893$	2.26006	+	12.8174i	0.0756301	+	0.428920i
$894$	40.8180			1.36516
$895$	2.46286	+	13.9676i	0.0823243	+	0.466884i
$896$	1.52814	−	2.64681i	0.0510515	−	0.0884238i
$897$	−3.38239	−	2.83817i	−0.112935	−	0.0947636i
$898$	14.3855	+	24.9165i	0.480052	+	0.831474i
$899$	52.8683	−	91.5705i	1.76326	−	3.05405i
$900$	−5.36404	+	1.95235i	−0.178801	+	0.0650783i
$901$	18.7366	−	15.7219i	0.624207	−	0.523772i
$902$	0.154223	+	0.267122i	0.00513507	+	0.00889420i
$903$	11.4396	−	64.8772i	0.380686	−	2.15898i
$904$	−0.323942	+	1.83717i	−0.0107742	+	0.0611033i
$905$	−7.37847	−	6.19127i	−0.245269	−	0.205805i
$906$	−43.5155	−	15.8384i	−1.44571	−	0.526194i
$907$	−23.9894	−	8.73144i	−0.796556	−	0.289923i	−0.0884977	−	0.996076i	$-0.528207\pi$
$907$	−23.9894	−	8.73144i	−0.796556	−	0.289923i	−0.708059	+	0.706154i	$0.750429\pi$
$908$	4.24466	+	3.56169i	0.140864	+	0.118199i
$909$	−17.2864	+	98.0358i	−0.573352	+	3.25164i
$910$	0.570018	−	3.23274i	0.0188959	−	0.107164i
$911$	−0.149378	−	0.258730i	−0.00494911	−	0.00857211i	0.863540	−	0.504280i	$-0.168242\pi$
$911$	−0.149378	−	0.258730i	−0.00494911	−	0.00857211i	−0.868489	+	0.495708i	$0.834909\pi$
$912$	3.96910	−	3.33047i	0.131430	−	0.110283i
$913$	5.97406	−	2.17438i	0.197713	−	0.0719615i
$914$	3.53929	−	6.13023i	0.117069	−	0.202770i
$915$	−2.72636	−	4.72219i	−0.0901306	−	0.156111i
$916$	8.26565	+	6.93570i	0.273105	+	0.229162i
$917$	−27.1743	+	47.0673i	−0.897375	+	1.55430i
$918$	−7.53355	−	42.7249i	−0.248644	−	1.41013i
$919$	7.50214			0.247473			0.123736	−	0.992315i	$-0.460512\pi$
$919$	7.50214			0.247473			0.123736	+	0.992315i	$0.460512\pi$
$920$	−0.241907	−	1.37192i	−0.00797543	−	0.0452309i
$921$	−18.1899	+	15.2632i	−0.599378	+	0.502938i
$922$	26.1172	+	9.50587i	0.860123	+	0.313059i
$923$	−7.34875	+	2.67473i	−0.241887	+	0.0880397i
$924$	−19.1314			−0.629377
$925$	6.02103	+	0.864424i	0.197970	+	0.0284221i
$926$	−20.2751			−0.666281
$927$	23.6419	−	8.60493i	0.776501	−	0.282623i
$928$	−9.61897	−	3.50102i	−0.315758	−	0.114927i
$929$	−6.08267	+	5.10397i	−0.199566	+	0.167456i	−0.737094	−	0.675790i	$-0.763803\pi$
$929$	−6.08267	+	5.10397i	−0.199566	+	0.167456i	0.537528	+	0.843246i	$0.319358\pi$
$930$	−5.29321	−	30.0193i	−0.173571	−	0.984370i
$931$	−4.11000			−0.134700
$932$	0.755236	+	4.28316i	0.0247386	+	0.140299i
$933$	1.41183	−	2.44535i	0.0462211	−	0.0800573i
$934$	30.1781	+	25.3224i	0.987456	+	0.828574i
$935$	−5.75740	−	9.97211i	−0.188287	−	0.326123i
$936$	−3.06550	+	5.30961i	−0.100199	+	0.173550i
$937$	−47.0293	+	17.1173i	−1.53638	+	0.559196i	−0.965174	−	0.261610i	$-0.915746\pi$
$937$	−47.0293	+	17.1173i	−1.53638	+	0.559196i	−0.571206	+	0.820807i	$0.693524\pi$
$938$	21.9729	−	18.4375i	0.717442	−	0.602005i
$939$	34.6823	+	60.0716i	1.13182	+	1.96036i
$940$	1.28721	−	7.30011i	0.0419841	−	0.238103i
$941$	−3.49127	+	19.8000i	−0.113812	+	0.645462i	0.873519	+	0.486790i	$0.161832\pi$
$941$	−3.49127	+	19.8000i	−0.113812	+	0.645462i	−0.987331	+	0.158672i	$0.949279\pi$
$942$	4.52149	+	3.79398i	0.147318	+	0.123615i
$943$	−0.190351	−	0.0692821i	−0.00619868	−	0.00225614i
$944$	7.00597	+	2.54997i	0.228025	+	0.0829943i
$945$	−18.7115	−	15.7008i	−0.608684	−	0.510747i
$946$	−2.69054	+	15.2588i	−0.0874771	+	0.496107i
$947$	−2.94348	+	16.6933i	−0.0956504	+	0.542460i	0.898896	+	0.438163i	$0.144371\pi$
$947$	−2.94348	+	16.6933i	−0.0956504	+	0.542460i	−0.994546	+	0.104298i	$0.966741\pi$
$948$	17.1433	+	29.6930i	0.556787	+	0.964384i
$949$	−12.9328	+	10.8519i	−0.419816	+	0.352268i
$950$	1.64990	−	0.600515i	0.0535298	−	0.0194833i
$951$	25.4038	−	44.0006i	0.823773	−	1.42682i
$952$	8.29528	+	14.3679i	0.268852	+	0.465665i
$953$	24.7562	+	20.7729i	0.801933	+	0.672902i	0.948668	−	0.316274i	$-0.102432\pi$
$953$	24.7562	+	20.7729i	0.801933	+	0.672902i	−0.146735	+	0.989176i	$0.546876\pi$
$954$	−12.8601	+	22.2743i	−0.416361	+	0.721158i
$955$	0.00975741	+	0.0553370i	0.000315743	+	0.00179066i
$956$	21.4632			0.694169
$957$	11.1267	+	63.1028i	0.359676	+	2.03982i
$958$	3.67888	−	3.08695i	0.118859	−	0.0997348i
$959$	−5.07165	−	1.84593i	−0.163772	−	0.0596082i
$960$	−2.77301	+	1.00929i	−0.0894987	+	0.0325749i
$961$	75.7000			2.44194
$962$	5.55073	−	3.44562i	0.178963	−	0.111091i
$963$	17.7907			0.573296
$964$	−0.821060	+	0.298841i	−0.0264446	+	0.00962503i
$965$	21.3186	+	7.75933i	0.686269	+	0.249782i
$966$	9.62478	−	8.07615i	0.309672	−	0.259846i
$967$	−2.58516	−	14.6612i	−0.0831332	−	0.471472i	−0.997744	−	0.0671360i	$-0.978614\pi$
$967$	−2.58516	−	14.6612i	−0.0831332	−	0.471472i	0.914611	−	0.404336i	$-0.132497\pi$
$968$	−6.50038			−0.208930
$969$	4.88401	+	27.6986i	0.156897	+	0.889808i
$970$	4.30494	−	7.45637i	0.138223	−	0.239410i
$971$	0.103208	+	0.0866021i	0.00331211	+	0.00277919i	0.644442	−	0.764653i	$-0.277090\pi$
$971$	0.103208	+	0.0866021i	0.00331211	+	0.00277919i	−0.641130	+	0.767432i	$0.721534\pi$
$972$	−2.45695	−	4.25557i	−0.0788068	−	0.136497i
$973$	−6.40533	+	11.0944i	−0.205346	+	0.355669i
$974$	−15.9736	+	5.81390i	−0.511826	+	0.186289i
$975$	−2.42799	+	2.03732i	−0.0777578	+	0.0652465i
$976$	−0.923882	−	1.60021i	−0.0295727	−	0.0512215i
$977$	1.06507	−	6.04029i	0.0340745	−	0.193246i	−0.963019	−	0.269433i	$-0.913164\pi$
$977$	1.06507	−	6.04029i	0.0340745	−	0.193246i	0.997094	+	0.0761874i	$0.0242747\pi$
$978$	−3.10050	+	17.5838i	−0.0991431	+	0.562268i
$979$	−1.21295	−	1.01779i	−0.0387660	−	0.0325286i
$980$	2.19966	+	0.800611i	0.0702656	+	0.0255746i
$981$	−59.2258	−	21.5564i	−1.89093	−	0.688243i
$982$	8.99180	+	7.54501i	0.286940	+	0.240771i
$983$	10.1451	−	57.5354i	0.323577	−	1.83510i	−0.195916	−	0.980621i	$-0.562768\pi$
$983$	10.1451	−	57.5354i	0.323577	−	1.83510i	0.519493	−	0.854475i	$-0.326121\pi$
$984$	−0.0745123	+	0.422580i	−0.00237537	+	0.0134714i
$985$	−12.3142	−	21.3287i	−0.392362	−	0.679590i
$986$	42.5662	−	35.7173i	1.35559	−	1.13747i
$987$	62.8236	−	22.8659i	1.99970	−	0.727831i
$988$	0.942905	−	1.63316i	0.0299978	−	0.0519577i
$989$	−5.08779	−	8.81232i	−0.161782	−	0.280215i
$990$	9.27573	+	7.78326i	0.294802	+	0.247368i
$991$	1.10128	−	1.90748i	0.0349834	−	0.0605931i	−0.848004	−	0.529990i	$-0.822195\pi$
$991$	1.10128	−	1.90748i	0.0349834	−	0.0605931i	0.882987	+	0.469397i	$0.155529\pi$
$992$	−1.79371	−	10.1726i	−0.0569504	−	0.322982i
$993$	25.9959			0.824955
$994$	−3.86424	−	21.9152i	−0.122566	−	0.695108i
$995$	−18.0452	+	15.1417i	−0.572071	+	0.480025i
$996$	8.31090	+	3.02492i	0.263341	+	0.0958483i
$997$	36.5094	−	13.2883i	1.15626	−	0.420846i	0.308503	−	0.951223i	$-0.400172\pi$
$997$	36.5094	−	13.2883i	1.15626	−	0.420846i	0.847761	+	0.530378i	$0.177950\pi$
$998$	34.3345			1.08684
$999$	−1.55246	−	48.5893i	−0.0491177	−	1.53730i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.d.81.4	✓	24
37.16	even	9	inner	370.2.o.d.201.4	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.d.81.4	✓	24	1.1	even	1	trivial
370.2.o.d.201.4	yes	24	37.16	even	9	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.939693 + 0.342020i) q^{2} +(2.77301 + 1.00929i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.173648 - 0.984808i) q^{5} -2.95098 q^{6} +(-0.530717 - 3.00985i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(4.37280 + 3.66922i) q^{9} +O(q^{10})\)	\(q+(-0.939693 + 0.342020i) q^{2} +(2.77301 + 1.00929i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.173648 - 0.984808i) q^{5} -2.95098 q^{6} +(-0.530717 - 3.00985i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(4.37280 + 3.66922i) q^{9} +(0.500000 + 0.866025i) q^{10} +(1.06062 - 1.83704i) q^{11} +(2.77301 - 1.00929i) q^{12} +(0.822773 - 0.690388i) q^{13} +(1.52814 + 2.64681i) q^{14} +(0.512432 - 2.90615i) q^{15} +(0.173648 - 0.984808i) q^{16} +(4.15836 + 3.48928i) q^{17} +(-5.36404 - 1.95235i) q^{18} +(1.64990 + 0.600515i) q^{19} +(-0.766044 - 0.642788i) q^{20} +(1.56614 - 8.88200i) q^{21} +(-0.368348 + 2.08901i) q^{22} +(-0.696543 - 1.20645i) q^{23} +(-2.26058 + 1.89685i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(-0.537027 + 0.930158i) q^{26} +(3.99605 + 6.92137i) q^{27} +(-2.34124 - 1.96454i) q^{28} +(-5.11815 + 8.86489i) q^{29} +(0.512432 + 2.90615i) q^{30} -10.3296 q^{31} +(0.173648 + 0.984808i) q^{32} +(4.79522 - 4.02367i) q^{33} +(-5.10099 - 1.85661i) q^{34} +(-2.87196 + 1.04531i) q^{35} +5.70829 q^{36} +(-5.36226 - 2.87161i) q^{37} -1.75579 q^{38} +(2.97837 - 1.08404i) q^{39} +(0.939693 + 0.342020i) q^{40} +(0.111390 - 0.0934672i) q^{41} +(1.56614 + 8.88200i) q^{42} +7.30435 q^{43} +(-0.368348 - 2.08901i) q^{44} +(2.85414 - 4.94352i) q^{45} +(1.06717 + 0.895458i) q^{46} +(3.70637 + 6.41961i) q^{47} +(1.47549 - 2.55562i) q^{48} +(-2.19966 + 0.800611i) q^{49} +(0.766044 - 0.642788i) q^{50} +(8.00949 + 13.8728i) q^{51} +(0.186507 - 1.05774i) q^{52} +(0.782418 - 4.43731i) q^{53} +(-6.12231 - 5.13723i) q^{54} +(-1.99331 - 0.725504i) q^{55} +(2.87196 + 1.04531i) q^{56} +(3.96910 + 3.33047i) q^{57} +(1.77751 - 10.0808i) q^{58} +(-1.29465 + 7.34233i) q^{59} +(-1.47549 - 2.55562i) q^{60} +(1.41547 - 1.18772i) q^{61} +(9.70662 - 3.53292i) q^{62} +(8.72305 - 15.1088i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.822773 - 0.690388i) q^{65} +(-3.12986 + 5.42107i) q^{66} +(-1.62972 - 9.24258i) q^{67} +5.42836 q^{68} +(-0.713862 - 4.04851i) q^{69} +(2.34124 - 1.96454i) q^{70} +(-6.84207 - 2.49031i) q^{71} +(-5.36404 + 1.95235i) q^{72} -15.7185 q^{73} +(6.02103 + 0.864424i) q^{74} -2.95098 q^{75} +(1.64990 - 0.600515i) q^{76} +(-6.09209 - 2.21734i) q^{77} +(-2.42799 + 2.03732i) q^{78} +(2.01756 + 11.4422i) q^{79} -1.00000 q^{80} +(1.12171 + 6.36155i) q^{81} +(-0.0727045 + 0.125928i) q^{82} +(2.29588 + 1.92648i) q^{83} +(-4.50951 - 7.81070i) q^{84} +(2.71418 - 4.70110i) q^{85} +(-6.86384 + 2.49824i) q^{86} +(-23.1400 + 19.4168i) q^{87} +(1.06062 + 1.83704i) q^{88} +(0.129620 - 0.735110i) q^{89} +(-0.991234 + 5.62157i) q^{90} +(-2.51462 - 2.11002i) q^{91} +(-1.30907 - 0.476463i) q^{92} +(-28.6440 - 10.4256i) q^{93} +(-5.67848 - 4.76481i) q^{94} +(0.304889 - 1.72911i) q^{95} +(-0.512432 + 2.90615i) q^{96} +(-4.30494 - 7.45637i) q^{97} +(1.79318 - 1.50466i) q^{98} +(11.3784 - 4.14139i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) \) 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9 + 12 * q^10 - 3 * q^11 - 3 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 + 18 * q^21 + 3 * q^22 + 15 * q^23 - 6 * q^26 - 12 * q^27 + 9 * q^28 - 18 * q^29 - 6 * q^31 - 45 * q^33 - 3 * q^34 + 30 * q^36 - 18 * q^37 - 24 * q^38 + 12 * q^39 + 3 * q^41 + 18 * q^42 + 3 * q^44 + 15 * q^45 + 9 * q^46 - 36 * q^47 - 3 * q^48 - 15 * q^49 + 54 * q^51 - 9 * q^52 - 6 * q^53 + 45 * q^54 - 3 * q^55 + 3 * q^57 - 15 * q^58 - 9 * q^59 + 3 * q^60 - 24 * q^61 + 81 * q^62 - 45 * q^63 - 12 * q^64 - 3 * q^66 + 12 * q^67 + 12 * q^68 + 60 * q^69 - 9 * q^70 + 42 * q^71 - 6 * q^72 - 42 * q^73 + 12 * q^74 + 6 * q^75 - 18 * q^76 + 9 * q^77 + 30 * q^78 - 6 * q^79 - 24 * q^80 - 66 * q^81 - 24 * q^82 - 3 * q^83 - 42 * q^84 + 6 * q^85 - 18 * q^86 - 84 * q^87 - 3 * q^88 + 27 * q^89 + 6 * q^90 + 153 * q^91 - 9 * q^92 - 54 * q^93 - 21 * q^94 - 9 * q^95 - 9 * q^97 - 24 * q^98 + 165 * q^99

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