LMFDB - Embedded newform 547.2.e.a.9.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [547,2,Mod(9,547)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(547, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([8]))

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

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

chi := DirichletCharacter("547.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 547 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	547.e (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.36781699056$
Analytic rank:	$0$
Dimension:	$264$
Relative dimension:	$44$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			9.4
Character	$\chi$	$=$	547.9
Dual form			547.2.e.a.304.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.531576 + 2.32899i) q^{2} +(-1.23305 - 0.593806i) q^{3} +(-3.33966 - 1.60830i) q^{4} +(-1.80655 - 2.26534i) q^{5} +(2.03842 - 2.55610i) q^{6} +(0.803964 - 0.387169i) q^{7} +(2.54210 - 3.18770i) q^{8} +(-0.702662 - 0.881110i) q^{9} +O(q^{10})$	\(q+(-0.531576 + 2.32899i) q^{2} +(-1.23305 - 0.593806i) q^{3} +(-3.33966 - 1.60830i) q^{4} +(-1.80655 - 2.26534i) q^{5} +(2.03842 - 2.55610i) q^{6} +(0.803964 - 0.387169i) q^{7} +(2.54210 - 3.18770i) q^{8} +(-0.702662 - 0.881110i) q^{9} +(6.23627 - 3.00323i) q^{10} -0.177764 q^{11} +(3.16296 + 3.96622i) q^{12} +(1.04040 + 4.55827i) q^{13} +(0.474343 + 2.07823i) q^{14} +(0.882394 + 3.86602i) q^{15} +(1.45054 + 1.81892i) q^{16} +(0.0370504 + 0.0464598i) q^{17} +(2.42561 - 1.16811i) q^{18} +(1.57696 + 6.90911i) q^{19} +(2.38993 + 10.4710i) q^{20} -1.22123 q^{21} +(0.0944949 - 0.414009i) q^{22} +(0.274298 + 1.20178i) q^{23} +(-5.02741 + 2.42107i) q^{24} +(-0.755550 + 3.31028i) q^{25} -11.1692 q^{26} +(1.25682 + 5.50651i) q^{27} -3.30765 q^{28} +(3.40212 - 4.26612i) q^{29} -9.47297 q^{30} +(-1.54317 - 0.743153i) q^{31} +(2.33958 - 1.12668i) q^{32} +(0.219192 + 0.105557i) q^{33} +(-0.127899 + 0.0615930i) q^{34} +(-2.32947 - 1.12182i) q^{35} +(0.929568 + 4.07270i) q^{36} +(5.04272 + 6.32337i) q^{37} -16.9295 q^{38} +(1.42387 - 6.23837i) q^{39} -11.8137 q^{40} +4.78712 q^{41} +(0.649177 - 2.84423i) q^{42} +(-5.97531 + 2.87756i) q^{43} +(0.593671 + 0.285897i) q^{44} +(-0.726623 + 3.18354i) q^{45} -2.94474 q^{46} +6.51421 q^{47} +(-0.708504 - 3.10416i) q^{48} +(-3.86797 + 4.85028i) q^{49} +(-7.30796 - 3.51933i) q^{50} +(-0.0180970 - 0.0792880i) q^{51} +(3.85649 - 16.8964i) q^{52} +(0.243327 + 1.06609i) q^{53} -13.4927 q^{54} +(0.321139 + 0.402696i) q^{55} +(0.809583 - 3.54702i) q^{56} +(2.15820 - 9.45568i) q^{57} +(8.12726 + 10.1913i) q^{58} +9.73022 q^{59} +(3.27081 - 14.3304i) q^{60} +(-2.76049 - 3.46154i) q^{61} +(2.55111 - 3.19899i) q^{62} +(-0.906053 - 0.436332i) q^{63} +(2.41575 + 10.5841i) q^{64} +(8.44652 - 10.5916i) q^{65} +(-0.362358 + 0.454382i) q^{66} +(0.788214 + 0.988390i) q^{67} +(-0.0490149 - 0.214748i) q^{68} +(0.375400 - 1.64473i) q^{69} +(3.85098 - 4.82898i) q^{70} +(1.16774 + 1.46430i) q^{71} -4.59495 q^{72} +(0.970814 - 4.25341i) q^{73} +(-17.4076 + 8.38307i) q^{74} +(2.89729 - 3.63309i) q^{75} +(5.84539 - 25.6103i) q^{76} +(-0.142916 + 0.0688245i) q^{77} +(13.7722 + 6.63233i) q^{78} +(-9.91238 + 4.77355i) q^{79} +(1.50000 - 6.57194i) q^{80} +(0.967736 - 4.23993i) q^{81} +(-2.54472 + 11.1491i) q^{82} +7.14704 q^{83} +(4.07850 + 1.96410i) q^{84} +(0.0383138 - 0.167864i) q^{85} +(-3.52546 - 15.4460i) q^{86} +(-6.72823 + 3.24015i) q^{87} +(-0.451894 + 0.566657i) q^{88} +(-7.86461 + 9.86191i) q^{89} +(-7.02817 - 3.38459i) q^{90} +(2.60126 + 3.26188i) q^{91} +(1.01675 - 4.45469i) q^{92} +(1.46152 + 1.83269i) q^{93} +(-3.46280 + 15.1715i) q^{94} +(12.8026 - 16.0540i) q^{95} -3.55385 q^{96} +(0.862170 + 3.77741i) q^{97} +(-9.24012 - 11.5867i) q^{98} +(0.124908 + 0.156629i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 264 q - 2 q^{2} - q^{3} - 44 q^{4} - 3 q^{5} - 10 q^{6} - 18 q^{7} - q^{8} - 35 q^{9}+O(q^{10}) $ 264 * q - 2 * q^2 - q^3 - 44 * q^4 - 3 * q^5 - 10 * q^6 - 18 * q^7 - q^8 - 35 * q^9	\( 264 q - 2 q^{2} - q^{3} - 44 q^{4} - 3 q^{5} - 10 q^{6} - 18 q^{7} - q^{8} - 35 q^{9} + 13 q^{10} - 4 q^{11} + 31 q^{12} + 7 q^{13} - 44 q^{14} + 7 q^{15} - 76 q^{16} + 13 q^{17} - 22 q^{18} + 11 q^{19} + 30 q^{20} + 42 q^{21} - 28 q^{22} + 21 q^{23} + 85 q^{24} - 37 q^{25} - 150 q^{26} - 46 q^{27} + 34 q^{28} + 25 q^{29} + 10 q^{30} - 25 q^{31} + 44 q^{32} - 18 q^{33} + 41 q^{34} - 3 q^{35} + 21 q^{36} - 29 q^{37} - 18 q^{38} - 11 q^{39} + 90 q^{40} - 42 q^{41} + 11 q^{42} - 43 q^{43} - 22 q^{44} - 26 q^{45} + 78 q^{46} - 6 q^{47} + 31 q^{48} - 70 q^{49} + 6 q^{50} - 54 q^{51} + 87 q^{52} + 6 q^{53} - 20 q^{54} - 5 q^{55} - 127 q^{56} + 61 q^{57} + 10 q^{58} - 16 q^{59} + 30 q^{60} + 27 q^{61} + 26 q^{62} - 29 q^{63} - 57 q^{64} - 52 q^{65} + 39 q^{66} - 2 q^{67} - 8 q^{68} - 55 q^{69} - 34 q^{70} - 3 q^{71} - 82 q^{72} - 8 q^{73} + 7 q^{74} - 136 q^{75} + 125 q^{76} - 11 q^{77} + 10 q^{78} - 15 q^{79} - q^{80} - 79 q^{81} - 75 q^{82} - 72 q^{83} - 96 q^{84} - 3 q^{85} + 121 q^{86} + 33 q^{87} - 20 q^{88} - 60 q^{89} - 31 q^{90} + 51 q^{91} + 104 q^{92} + 44 q^{93} - 58 q^{94} + 95 q^{95} - 162 q^{96} - 45 q^{97} + 103 q^{98} - 234 q^{99}+O(q^{100}) \) 264 * q - 2 * q^2 - q^3 - 44 * q^4 - 3 * q^5 - 10 * q^6 - 18 * q^7 - q^8 - 35 * q^9 + 13 * q^10 - 4 * q^11 + 31 * q^12 + 7 * q^13 - 44 * q^14 + 7 * q^15 - 76 * q^16 + 13 * q^17 - 22 * q^18 + 11 * q^19 + 30 * q^20 + 42 * q^21 - 28 * q^22 + 21 * q^23 + 85 * q^24 - 37 * q^25 - 150 * q^26 - 46 * q^27 + 34 * q^28 + 25 * q^29 + 10 * q^30 - 25 * q^31 + 44 * q^32 - 18 * q^33 + 41 * q^34 - 3 * q^35 + 21 * q^36 - 29 * q^37 - 18 * q^38 - 11 * q^39 + 90 * q^40 - 42 * q^41 + 11 * q^42 - 43 * q^43 - 22 * q^44 - 26 * q^45 + 78 * q^46 - 6 * q^47 + 31 * q^48 - 70 * q^49 + 6 * q^50 - 54 * q^51 + 87 * q^52 + 6 * q^53 - 20 * q^54 - 5 * q^55 - 127 * q^56 + 61 * q^57 + 10 * q^58 - 16 * q^59 + 30 * q^60 + 27 * q^61 + 26 * q^62 - 29 * q^63 - 57 * q^64 - 52 * q^65 + 39 * q^66 - 2 * q^67 - 8 * q^68 - 55 * q^69 - 34 * q^70 - 3 * q^71 - 82 * q^72 - 8 * q^73 + 7 * q^74 - 136 * q^75 + 125 * q^76 - 11 * q^77 + 10 * q^78 - 15 * q^79 - q^80 - 79 * q^81 - 75 * q^82 - 72 * q^83 - 96 * q^84 - 3 * q^85 + 121 * q^86 + 33 * q^87 - 20 * q^88 - 60 * q^89 - 31 * q^90 + 51 * q^91 + 104 * q^92 + 44 * q^93 - 58 * q^94 + 95 * q^95 - 162 * q^96 - 45 * q^97 + 103 * q^98 - 234 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/547\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{4}{7}\right)$

Coefficient data

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

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

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

$2$	−0.531576	+	2.32899i	−0.375881	+	1.64684i	0.334039	+	0.942559i	$0.391588\pi$
$2$	−0.531576	+	2.32899i	−0.375881	+	1.64684i	−0.709920	+	0.704282i	$0.751269\pi$
$3$	−1.23305	−	0.593806i	−0.711902	−	0.342834i	0.0426358	−	0.999091i	$-0.486425\pi$
$3$	−1.23305	−	0.593806i	−0.711902	−	0.342834i	−0.754538	+	0.656257i	$0.772139\pi$
$4$	−3.33966	−	1.60830i	−1.66983	−	0.804149i
$5$	−1.80655	−	2.26534i	−0.807914	−	1.01309i	−0.999500	−	0.0316166i	$-0.989934\pi$
$5$	−1.80655	−	2.26534i	−0.807914	−	1.01309i	0.191586	−	0.981476i	$-0.438637\pi$
$6$	2.03842	−	2.55610i	0.832183	−	1.04352i
$7$	0.803964	−	0.387169i	0.303870	−	0.146336i	−0.275735	−	0.961234i	$-0.588921\pi$
$7$	0.803964	−	0.387169i	0.303870	−	0.146336i	0.579605	+	0.814898i	$0.303207\pi$
$8$	2.54210	−	3.18770i	0.898769	−	1.12702i
$9$	−0.702662	−	0.881110i	−0.234221	−	0.293703i
$10$	6.23627	−	3.00323i	1.97208	−	0.949705i
$11$	−0.177764			−0.0535978			−0.0267989	−	0.999641i	$-0.508531\pi$
$11$	−0.177764			−0.0535978			−0.0267989	+	0.999641i	$0.508531\pi$
$12$	3.16296	+	3.96622i	0.913067	+	1.14495i
$13$	1.04040	+	4.55827i	0.288554	+	1.26424i	0.886510	+	0.462709i	$0.153122\pi$
$13$	1.04040	+	4.55827i	0.288554	+	1.26424i	−0.597956	+	0.801529i	$0.704020\pi$
$14$	0.474343	+	2.07823i	0.126773	+	0.555431i
$15$	0.882394	+	3.86602i	0.227833	+	0.998203i
$16$	1.45054	+	1.81892i	0.362635	+	0.454730i
$17$	0.0370504	+	0.0464598i	0.00898605	+	0.0112681i	0.786304	−	0.617840i	$-0.211992\pi$
$17$	0.0370504	+	0.0464598i	0.00898605	+	0.0112681i	−0.777318	+	0.629108i	$0.783420\pi$
$18$	2.42561	−	1.16811i	0.571722	−	0.275327i
$19$	1.57696	+	6.90911i	0.361779	+	1.58506i	0.748677	+	0.662935i	$0.230690\pi$
$19$	1.57696	+	6.90911i	0.361779	+	1.58506i	−0.386897	+	0.922123i	$0.626453\pi$
$20$	2.38993	+	10.4710i	0.534404	+	2.34138i
$21$	−1.22123			−0.266495
$22$	0.0944949	−	0.414009i	0.0201464	−	0.0882670i
$23$	0.274298	+	1.20178i	0.0571951	+	0.250588i	0.995441	−	0.0953816i	$-0.0304071\pi$
$23$	0.274298	+	1.20178i	0.0571951	+	0.250588i	−0.938246	+	0.345970i	$0.887550\pi$
$24$	−5.02741	+	2.42107i	−1.02622	+	0.494200i
$25$	−0.755550	+	3.31028i	−0.151110	+	0.662056i
$26$	−11.1692			−2.19046
$27$	1.25682	+	5.50651i	0.241876	+	1.05973i
$28$	−3.30765			−0.625088
$29$	3.40212	−	4.26612i	0.631758	−	0.792199i	−0.358187	−	0.933650i	$-0.616605\pi$
$29$	3.40212	−	4.26612i	0.631758	−	0.792199i	0.989945	+	0.141450i	$0.0451765\pi$
$30$	−9.47297			−1.72952
$31$	−1.54317	−	0.743153i	−0.277162	−	0.133474i	0.290139	−	0.956984i	$-0.406298\pi$
$31$	−1.54317	−	0.743153i	−0.277162	−	0.133474i	−0.567301	+	0.823510i	$0.692013\pi$
$32$	2.33958	−	1.12668i	0.413583	−	0.199171i
$33$	0.219192	+	0.105557i	0.0381563	+	0.0183751i
$34$	−0.127899	+	0.0615930i	−0.0219345	+	0.0105631i
$35$	−2.32947	−	1.12182i	−0.393753	−	0.189621i
$36$	0.929568	+	4.07270i	0.154928	+	0.678784i
$37$	5.04272	+	6.32337i	0.829018	+	1.03956i	0.998539	+	0.0540292i	$0.0172064\pi$
$37$	5.04272	+	6.32337i	0.829018	+	1.03956i	−0.169521	+	0.985527i	$0.554222\pi$
$38$	−16.9295			−2.74633
$39$	1.42387	−	6.23837i	0.228001	−	0.998939i
$40$	−11.8137			−1.86790
$41$	4.78712			0.747622			0.373811	−	0.927505i	$-0.378051\pi$
$41$	4.78712			0.747622			0.373811	+	0.927505i	$0.378051\pi$
$42$	0.649177	−	2.84423i	0.100170	−	0.438874i
$43$	−5.97531	+	2.87756i	−0.911226	+	0.438823i	−0.829930	−	0.557867i	$-0.811620\pi$
$43$	−5.97531	+	2.87756i	−0.911226	+	0.438823i	−0.0812952	+	0.996690i	$0.525906\pi$
$44$	0.593671	+	0.285897i	0.0894993	+	0.0431006i
$45$	−0.726623	+	3.18354i	−0.108318	+	0.474574i
$46$	−2.94474			−0.434178
$47$	6.51421			0.950196			0.475098	−	0.879933i	$-0.342413\pi$
$47$	6.51421			0.950196			0.475098	+	0.879933i	$0.342413\pi$
$48$	−0.708504	−	3.10416i	−0.102264	−	0.448047i
$49$	−3.86797	+	4.85028i	−0.552567	+	0.692897i
$50$	−7.30796	−	3.51933i	−1.03350	−	0.497708i
$51$	−0.0180970	−	0.0792880i	−0.00253408	−	0.0111025i
$52$	3.85649	−	16.8964i	0.534798	−	2.34310i
$53$	0.243327	+	1.06609i	0.0334236	+	0.146438i	0.988886	−	0.148673i	$-0.0475003\pi$
$53$	0.243327	+	1.06609i	0.0334236	+	0.146438i	−0.955463	+	0.295112i	$0.904643\pi$
$54$	−13.4927			−1.83612
$55$	0.321139	+	0.402696i	0.0433024	+	0.0542995i
$56$	0.809583	−	3.54702i	0.108185	−	0.473990i
$57$	2.15820	−	9.45568i	0.285860	−	1.25244i
$58$	8.12726	+	10.1913i	1.06716	+	1.33818i
$59$	9.73022			1.26677			0.633384	−	0.773838i	$-0.281666\pi$
$59$	9.73022			1.26677			0.633384	+	0.773838i	$0.281666\pi$
$60$	3.27081	−	14.3304i	0.422260	−	1.85004i
$61$	−2.76049	−	3.46154i	−0.353444	−	0.443205i	0.573047	−	0.819523i	$-0.305761\pi$
$61$	−2.76049	−	3.46154i	−0.353444	−	0.443205i	−0.926491	+	0.376318i	$0.877190\pi$
$62$	2.55111	−	3.19899i	0.323991	−	0.406272i
$63$	−0.906053	−	0.436332i	−0.114152	−	0.0549727i
$64$	2.41575	+	10.5841i	0.301968	+	1.32301i
$65$	8.44652	−	10.5916i	1.04766	−	1.31373i
$66$	−0.362358	+	0.454382i	−0.0446032	+	0.0559306i
$67$	0.788214	+	0.988390i	0.0962957	+	0.120751i	0.827645	−	0.561252i	$-0.189680\pi$
$67$	0.788214	+	0.988390i	0.0962957	+	0.120751i	−0.731349	+	0.682003i	$0.761109\pi$
$68$	−0.0490149	−	0.214748i	−0.00594392	−	0.0260420i
$69$	0.375400	−	1.64473i	0.0451928	−	0.198003i
$70$	3.85098	−	4.82898i	0.460281	−	0.577174i
$71$	1.16774	+	1.46430i	0.138585	+	0.173781i	0.846281	−	0.532737i	$-0.178837\pi$
$71$	1.16774	+	1.46430i	0.138585	+	0.173781i	−0.707695	+	0.706518i	$0.750265\pi$
$72$	−4.59495			−0.541520
$73$	0.970814	−	4.25341i	0.113625	−	0.497824i	−0.885805	−	0.464058i	$-0.846393\pi$
$73$	0.970814	−	4.25341i	0.113625	−	0.497824i	0.999430	−	0.0337659i	$-0.0107501\pi$
$74$	−17.4076	+	8.38307i	−2.02360	+	0.974512i
$75$	2.89729	−	3.63309i	0.334551	−	0.419513i
$76$	5.84539	−	25.6103i	0.670512	−	2.93771i
$77$	−0.142916	+	0.0688245i	−0.0162867	+	0.00784328i
$78$	13.7722	+	6.63233i	1.55939	+	0.750964i
$79$	−9.91238	+	4.77355i	−1.11523	+	0.537066i	−0.898416	−	0.439146i	$-0.855281\pi$
$79$	−9.91238	+	4.77355i	−1.11523	+	0.537066i	−0.216814	+	0.976213i	$0.569567\pi$
$80$	1.50000	−	6.57194i	0.167705	−	0.734766i
$81$	0.967736	−	4.23993i	0.107526	−	0.471103i
$82$	−2.54472	+	11.1491i	−0.281017	+	1.23122i
$83$	7.14704			0.784490			0.392245	−	0.919861i	$-0.371699\pi$
$83$	7.14704			0.784490			0.392245	+	0.919861i	$0.371699\pi$
$84$	4.07850	+	1.96410i	0.445001	+	0.214301i
$85$	0.0383138	−	0.167864i	0.00415572	−	0.0182074i
$86$	−3.52546	−	15.4460i	−0.380160	−	1.66559i
$87$	−6.72823	+	3.24015i	−0.721342	+	0.347380i
$88$	−0.451894	+	0.566657i	−0.0481720	+	0.0604058i
$89$	−7.86461	+	9.86191i	−0.833647	+	1.04536i	0.164611	+	0.986359i	$0.447363\pi$
$89$	−7.86461	+	9.86191i	−0.833647	+	1.04536i	−0.998258	+	0.0590019i	$0.981208\pi$
$90$	−7.02817	−	3.38459i	−0.740834	−	0.356767i
$91$	2.60126	+	3.26188i	0.272686	+	0.341938i
$92$	1.01675	−	4.45469i	0.106004	−	0.464434i
$93$	1.46152	+	1.83269i	0.151553	+	0.190041i
$94$	−3.46280	+	15.1715i	−0.357160	+	1.56482i
$95$	12.8026	−	16.0540i	1.31352	−	1.64711i
$96$	−3.55385			−0.362713
$97$	0.862170	+	3.77741i	0.0875401	+	0.383538i	0.999651	−	0.0264046i	$-0.00840581\pi$
$97$	0.862170	+	3.77741i	0.0875401	+	0.383538i	−0.912111	+	0.409943i	$0.865549\pi$
$98$	−9.24012	−	11.5867i	−0.933393	−	1.17044i
$99$	0.124908	+	0.156629i	0.0125537	+	0.0157418i
$100$	7.84720	−	9.84008i	0.784720	−	0.984008i
$101$	−6.23019	−	7.81241i	−0.619927	−	0.777364i	0.368407	−	0.929664i	$-0.379903\pi$
$101$	−6.23019	−	7.81241i	−0.619927	−	0.777364i	−0.988334	+	0.152301i	$0.951332\pi$
$102$	0.194280			0.0192366
$103$	1.19652	−	5.24228i	0.117896	−	0.516537i	−0.881149	−	0.472839i	$-0.843229\pi$
$103$	1.19652	−	5.24228i	0.117896	−	0.516537i	0.999045	−	0.0436975i	$-0.0139138\pi$
$104$	17.1752	+	8.27113i	1.68417	+	0.811051i
$105$	2.20622	+	2.76651i	0.215305	+	0.269984i
$106$	−2.61225			−0.253724
$107$	17.5326			1.69494			0.847469	−	0.530844i	$-0.178125\pi$
$107$	17.5326			1.69494			0.847469	+	0.530844i	$0.178125\pi$
$108$	4.65873	−	20.4112i	0.448286	−	1.96407i
$109$	8.78591	+	11.0172i	0.841538	+	1.05525i	0.997717	+	0.0675262i	$0.0215106\pi$
$109$	8.78591	+	11.0172i	0.841538	+	1.05525i	−0.156180	+	0.987729i	$0.549918\pi$
$110$	−1.10858	+	0.533865i	−0.105699	+	0.0509021i
$111$	−2.46307	−	10.7914i	−0.233785	−	1.02428i
$112$	1.87041	+	0.900743i	0.176737	+	0.0851122i
$113$	−3.68170	+	16.1306i	−0.346345	+	1.51744i	0.439062	+	0.898457i	$0.355311\pi$
$113$	−3.68170	+	16.1306i	−0.346345	+	1.51744i	−0.785407	+	0.618980i	$0.787546\pi$
$114$	20.8749	+	10.0528i	1.95511	+	0.941533i
$115$	2.22691	−	2.79245i	0.207660	−	0.260398i
$116$	−18.2231	+	8.77580i	−1.69198	+	0.814813i
$117$	3.28529	−	4.11963i	0.303725	−	0.380860i
$118$	−5.17235	+	22.6616i	−0.476154	+	2.08616i
$119$	0.0477750	+	0.0230072i	0.00437953	+	0.00210907i
$120$	14.5668	+	7.01502i	1.32976	+	0.640381i
$121$	−10.9684			−0.997127
$122$	9.52928	−	4.58906i	0.862741	−	0.415474i
$123$	−5.90276	−	2.84262i	−0.532234	−	0.256310i
$124$	3.95847	+	4.96376i	0.355481	+	0.445759i
$125$	−4.18885	+	2.01724i	−0.374662	+	0.180428i
$126$	1.49785	−	1.87824i	0.133439	−	0.167327i
$127$	3.10803	+	13.6172i	0.275793	+	1.20833i	0.903057	+	0.429522i	$0.141318\pi$
$127$	3.10803	+	13.6172i	0.275793	+	1.20833i	−0.627263	+	0.778807i	$0.715825\pi$
$128$	−20.7408			−1.83325
$129$	9.07656			0.799147
$130$	20.1777	+	25.3021i	1.76970	+	2.21914i
$131$	−1.70261	−	2.13501i	−0.148758	−	0.186537i	0.701869	−	0.712306i	$-0.252349\pi$
$131$	−1.70261	−	2.13501i	−0.148758	−	0.186537i	−0.850627	+	0.525769i	$0.823778\pi$
$132$	−0.562259	−	0.705050i	−0.0489384	−	0.0613668i
$133$	3.94281	+	4.94413i	0.341885	+	0.428710i
$134$	−2.72094	+	1.31034i	−0.235054	+	0.113196i
$135$	10.2036	−	12.7949i	0.878187	−	1.10121i
$136$	0.242286			0.0207758
$137$	−4.68040	+	2.25396i	−0.399873	+	0.192569i	−0.623002	−	0.782220i	$-0.714087\pi$
$137$	−4.68040	+	2.25396i	−0.399873	+	0.192569i	0.223129	+	0.974789i	$0.428373\pi$
$138$	3.63101	+	1.74860i	0.309092	+	0.148851i
$139$	6.06470	+	2.92061i	0.514401	+	0.247723i	0.673029	−	0.739616i	$-0.264993\pi$
$139$	6.06470	+	2.92061i	0.514401	+	0.247723i	−0.158628	+	0.987338i	$0.550707\pi$
$140$	5.97545	+	7.49297i	0.505017	+	0.633272i
$141$	−8.03235	−	3.86818i	−0.676446	−	0.325759i
$142$	−4.03108	+	1.94127i	−0.338281	+	0.162907i
$143$	−0.184945	−	0.810295i	−0.0154658	−	0.0677603i
$144$	0.583429	−	2.55617i	0.0486191	−	0.213014i
$145$	−15.8103			−1.31298
$146$	9.39008	+	4.52202i	0.777128	+	0.374245i
$147$	7.64952	−	3.68382i	0.630922	−	0.303836i
$148$	−6.67113	−	29.2281i	−0.548364	−	2.40254i
$149$	2.38550	−	10.4515i	0.195428	−	0.856224i	−0.778188	−	0.628031i	$-0.783861\pi$
$149$	2.38550	−	10.4515i	0.195428	−	0.856224i	0.973616	−	0.228193i	$-0.0732818\pi$
$150$	6.92129	+	8.67902i	0.565121	+	0.708639i
$151$	3.86458	+	16.9318i	0.314495	+	1.37789i	0.847057	+	0.531502i	$0.178372\pi$
$151$	3.86458	+	16.9318i	0.314495	+	1.37789i	−0.532562	+	0.846391i	$0.678771\pi$
$152$	26.0329	+	12.5368i	2.11155	+	1.01687i
$153$	0.0149022	−	0.0652910i	0.00120478	−	0.00527846i
$154$	−0.0843209	−	0.369434i	−0.00679477	−	0.0297698i
$155$	1.10432	+	4.83836i	0.0887015	+	0.388626i
$156$	−14.7884	+	18.5441i	−1.18402	+	1.48471i
$157$	−3.09483	−	13.5593i	−0.246994	−	1.08215i	−0.934497	−	0.355971i	$-0.884150\pi$
$157$	−3.09483	−	13.5593i	−0.246994	−	1.08215i	0.687503	−	0.726182i	$-0.258707\pi$
$158$	−5.84835	−	25.6233i	−0.465270	−	2.03848i
$159$	0.333014	−	1.45903i	0.0264097	−	0.115708i
$160$	−6.77890	−	3.26454i	−0.535919	−	0.258085i
$161$	0.685817	+	0.859987i	0.0540499	+	0.0677765i
$162$	9.36030	+	4.50769i	0.735415	+	0.354157i
$163$	−0.222269	−	0.107039i	−0.0174095	−	0.00838395i	0.425159	−	0.905119i	$-0.360218\pi$
$163$	−0.222269	−	0.107039i	−0.0174095	−	0.00838395i	−0.442568	+	0.896735i	$0.645933\pi$
$164$	−15.9874	−	7.69911i	−1.24840	−	0.601200i
$165$	−0.156858	−	0.687238i	−0.0122114	−	0.0535014i
$166$	−3.79919	+	16.6454i	−0.294875	+	1.29193i
$167$	1.22726	−	0.591017i	0.0949682	−	0.0457343i	−0.385797	−	0.922584i	$-0.626073\pi$
$167$	1.22726	−	0.591017i	0.0949682	−	0.0457343i	0.480765	+	0.876850i	$0.340359\pi$
$168$	−3.10450	+	3.89291i	−0.239517	+	0.300345i
$169$	−7.98283	+	3.84433i	−0.614064	+	0.295717i
$170$	0.370586	+	0.178465i	0.0284226	+	0.0136876i
$171$	4.97962	−	6.24424i	0.380801	−	0.477509i
$172$	24.5835			1.87447
$173$	5.42326	−	2.61171i	0.412323	−	0.198564i	−0.216210	−	0.976347i	$-0.569370\pi$
$173$	5.42326	−	2.61171i	0.412323	−	0.198564i	0.628534	+	0.777782i	$0.283655\pi$
$174$	−3.96969	−	17.3923i	−0.300941	−	1.31851i
$175$	0.674202	+	2.95387i	0.0509649	+	0.223292i
$176$	−0.257853	−	0.323338i	−0.0194364	−	0.0243725i
$177$	−11.9979	−	5.77786i	−0.901814	−	0.434291i
$178$	−18.7876	−	23.5589i	−1.40819	−	1.76582i
$179$	0.105221	−	0.131943i	0.00786461	−	0.00986191i	−0.777884	−	0.628408i	$-0.783707\pi$
$179$	0.105221	−	0.131943i	0.00786461	−	0.00986191i	0.785748	+	0.618546i	$0.212278\pi$
$180$	7.54676	−	9.46334i	0.562502	−	0.705355i
$181$	11.0937			0.824585			0.412293	−	0.911051i	$-0.364728\pi$
$181$	11.0937			0.824585			0.412293	+	0.911051i	$0.364728\pi$
$182$	−8.97964	+	4.32437i	−0.665615	+	0.320543i
$183$	1.34834	+	5.90744i	0.0996718	+	0.436691i
$184$	4.52820	+	2.18067i	0.333823	+	0.160761i
$185$	5.21468	−	22.8470i	0.383391	−	1.67974i
$186$	−5.04522	+	2.42965i	−0.369933	+	0.178150i
$187$	−0.00658622	−	0.00825886i	−0.000481632	−	0.000603947i
$188$	−21.7553	−	10.4768i	−1.58667	−	0.764099i
$189$	3.14239	+	3.94043i	0.228575	+	0.286624i
$190$	30.5840	+	38.3511i	2.21880	+	2.78228i
$191$	−12.4584	+	5.99964i	−0.901457	+	0.434119i	−0.826415	−	0.563062i	$-0.809623\pi$
$191$	−12.4584	+	5.99964i	−0.901457	+	0.434119i	−0.0750419	+	0.997180i	$0.523909\pi$
$192$	3.30615	−	14.4852i	0.238601	−	1.04538i
$193$	14.6612	−	18.3845i	1.05533	−	1.32335i	0.111195	−	0.993799i	$-0.464532\pi$
$193$	14.6612	−	18.3845i	1.05533	−	1.32335i	0.944139	−	0.329548i	$-0.106896\pi$
$194$	−9.25585			−0.664531
$195$	−16.7043	+	8.04439i	−1.19622	+	0.576071i
$196$	20.7184	−	9.97746i	1.47989	−	0.712676i
$197$	−20.0692			−1.42987			−0.714935	−	0.699191i	$-0.753544\pi$
$197$	−20.0692			−1.42987			−0.714935	+	0.699191i	$0.753544\pi$
$198$	−0.431186	+	0.207648i	−0.0306430	+	0.0147569i
$199$	11.7869			0.835550			0.417775	−	0.908550i	$-0.362810\pi$
$199$	11.7869			0.835550			0.417775	+	0.908550i	$0.362810\pi$
$200$	8.63148	+	10.8235i	0.610338	+	0.765340i
$201$	−0.384997	−	1.68678i	−0.0271556	−	0.118976i
$202$	21.5068	−	10.3571i	1.51321	−	0.728725i
$203$	1.08347	−	4.74701i	0.0760449	−	0.333175i
$204$	−0.0670809	+	0.293900i	−0.00469660	+	0.0205771i
$205$	−8.64818	−	10.8445i	−0.604015	−	0.757411i
$206$	11.5731	+	5.57333i	0.806340	+	0.388313i
$207$	0.866160	−	1.08613i	0.0602023	−	0.0754913i
$208$	−6.78199	+	8.50435i	−0.470247	+	0.589671i
$209$	−0.280326	−	1.22819i	−0.0193906	−	0.0849556i
$210$	−7.61593	+	3.66764i	−0.525549	+	0.253091i
$211$	4.82128	+	6.04569i	0.331911	+	0.416203i	0.919583	−	0.392896i	$-0.128527\pi$
$211$	4.82128	+	6.04569i	0.331911	+	0.416203i	−0.587672	+	0.809099i	$0.699955\pi$
$212$	0.901954	−	3.95172i	0.0619464	−	0.271405i
$213$	−0.570373	−	2.49897i	−0.0390813	−	0.171226i
$214$	−9.31990	+	40.8331i	−0.637095	+	2.79130i
$215$	17.3133	+	8.33767i	1.18076	+	0.568624i
$216$	20.7480	+	9.99173i	1.41173	+	0.679851i
$217$	−1.52838			−0.103753
$218$	−30.3292	+	14.6058i	−2.05416	+	0.989229i
$219$	−3.72276	+	4.66820i	−0.251561	+	0.315447i
$220$	−0.424842	−	1.86136i	−0.0286429	−	0.125493i
$221$	−0.173229	+	0.217222i	−0.0116527	+	0.0146120i
$222$	26.4424			1.77470
$223$	10.1002	−	12.6652i	0.676356	−	0.848124i	−0.318657	−	0.947870i	$-0.603232\pi$
$223$	10.1002	−	12.6652i	0.676356	−	0.848124i	0.995013	+	0.0997462i	$0.0318031\pi$
$224$	1.44472	−	1.81163i	0.0965296	−	0.121044i
$225$	3.44762	−	1.66029i	0.229841	−	0.110686i
$226$	−35.6108	−	17.1492i	−2.36879	−	1.14075i
$227$	13.3567	−	16.7488i	0.886515	−	1.11165i	−0.106576	−	0.994305i	$-0.533989\pi$
$227$	13.3567	−	16.7488i	0.886515	−	1.11165i	0.993091	−	0.117350i	$-0.0374398\pi$
$228$	−22.4152	+	28.1078i	−1.48448	+	1.86148i
$229$	3.82640	+	1.84270i	0.252856	+	0.121769i	0.556019	−	0.831170i	$-0.312328\pi$
$229$	3.82640	+	1.84270i	0.252856	+	0.121769i	−0.303163	+	0.952939i	$0.598043\pi$
$230$	5.31982	+	6.67084i	0.350778	+	0.439862i
$231$	0.217091			0.0142835
$232$	−4.95057	−	21.6899i	−0.325021	−	1.42401i
$233$	−23.6838			−1.55158			−0.775790	−	0.630992i	$-0.782648\pi$
$233$	−23.6838			−1.55158			−0.775790	+	0.630992i	$0.782648\pi$
$234$	7.84817	+	9.84130i	0.513051	+	0.643346i
$235$	−11.7683	−	14.7569i	−0.767677	−	0.962636i
$236$	−32.4957	−	15.6491i	−2.11529	−	1.01867i
$237$	15.0570			0.978059
$238$	−0.0789795	+	0.0990372i	−0.00511948	+	0.00641963i
$239$	−14.3273			−0.926756			−0.463378	−	0.886161i	$-0.653363\pi$
$239$	−14.3273			−0.926756			−0.463378	+	0.886161i	$0.653363\pi$
$240$	−5.75204	+	7.21282i	−0.371292	+	0.465586i
$241$	−14.7815	−	7.11840i	−0.952161	−	0.458537i	−0.107718	−	0.994182i	$-0.534354\pi$
$241$	−14.7815	−	7.11840i	−0.952161	−	0.458537i	−0.844443	+	0.535645i	$0.820069\pi$
$242$	5.83054	−	25.5452i	0.374801	−	1.64211i
$243$	6.85367	−	8.59423i	0.439663	−	0.551320i
$244$	3.65191	+	16.0001i	0.233790	+	1.02430i
$245$	17.9752			1.14840
$246$	9.75818	−	12.2364i	0.622159	−	0.780163i
$247$	−29.8529	+	14.3764i	−1.89950	+	0.914749i
$248$	−6.29185	+	3.03000i	−0.399533	+	0.192405i
$249$	−8.81266	−	4.24395i	−0.558480	−	0.268950i
$250$	−2.47144	−	10.8281i	−0.156308	−	0.684829i
$251$	−7.17619			−0.452957			−0.226478	−	0.974016i	$-0.572721\pi$
$251$	−7.17619			−0.452957			−0.226478	+	0.974016i	$0.572721\pi$
$252$	2.32416	+	2.91441i	0.146408	+	0.183590i
$253$	−0.0487602	−	0.213633i	−0.00306553	−	0.0134310i
$254$	−33.3664			−2.09359
$255$	−0.146921	+	0.184234i	−0.00920057	+	0.0115372i
$256$	6.19384	−	27.1370i	0.387115	−	1.69606i
$257$	−0.560964	+	2.45774i	−0.0349920	+	0.153310i	−0.989406	−	0.145177i	$-0.953625\pi$
$257$	−0.560964	+	2.45774i	−0.0349920	+	0.153310i	0.954414	+	0.298487i	$0.0964820\pi$
$258$	−4.82488	+	21.1392i	−0.300384	+	1.31607i
$259$	6.50238	+	3.13138i	0.404038	+	0.194575i
$260$	−45.2430	+	21.7879i	−2.80585	+	1.35123i
$261$	−6.14947			−0.380642
$262$	5.87748	−	2.83044i	0.363112	−	0.174865i
$263$	−1.93056	−	8.45834i	−0.119043	−	0.521563i	−0.998924	−	0.0463691i	$-0.985235\pi$
$263$	−1.93056	−	8.45834i	−0.119043	−	0.521563i	0.879881	−	0.475194i	$-0.157622\pi$
$264$	0.893691	−	0.430379i	0.0550029	−	0.0264880i
$265$	1.97547	−	2.47716i	0.121352	−	0.152171i
$266$	−13.6107	+	6.55457i	−0.834526	+	0.401886i
$267$	15.5535	−	7.49018i	0.951860	−	0.458392i
$268$	−1.04275	−	4.56857i	−0.0636959	−	0.279070i
$269$	−18.7198	+	23.4739i	−1.14137	+	1.43123i	−0.255797	+	0.966731i	$0.582338\pi$
$269$	−18.7198	+	23.4739i	−1.14137	+	1.43123i	−0.885573	+	0.464501i	$0.846234\pi$
$270$	24.3752	+	30.5655i	1.48343	+	1.86016i
$271$	−7.26993	+	9.11621i	−0.441617	+	0.553770i	−0.951969	−	0.306196i	$-0.900944\pi$
$271$	−7.26993	+	9.11621i	−0.441617	+	0.553770i	0.510352	+	0.859966i	$0.329515\pi$
$272$	−0.0307634	+	0.134783i	−0.00186531	+	0.00817245i
$273$	−1.27056	−	5.56670i	−0.0768980	−	0.336912i
$274$	−2.76146	−	12.0987i	−0.166826	−	0.730911i
$275$	0.134309	−	0.588447i	0.00809916	−	0.0354847i
$276$	−3.89893	+	4.88910i	−0.234688	+	0.294289i
$277$	14.9682	+	18.7695i	0.899352	+	1.12775i	0.991252	+	0.131984i	$0.0421347\pi$
$277$	14.9682	+	18.7695i	0.899352	+	1.12775i	−0.0918996	+	0.995768i	$0.529294\pi$
$278$	−10.0259	+	12.5721i	−0.601314	+	0.754023i
$279$	0.429529	+	1.88189i	0.0257152	+	0.112666i
$280$	−9.49777	+	4.57388i	−0.567600	+	0.273342i
$281$	−25.0804	+	12.0781i	−1.49617	+	0.720518i	−0.989888	−	0.141850i	$-0.954695\pi$
$281$	−25.0804	+	12.0781i	−1.49617	+	0.720518i	−0.506283	+	0.862368i	$0.668981\pi$
$282$	13.2787	−	16.6510i	0.790737	−	0.991553i
$283$	9.13343	−	4.39843i	0.542926	−	0.261460i	−0.142258	−	0.989830i	$-0.545436\pi$
$283$	9.13343	−	4.39843i	0.542926	−	0.261460i	0.685184	+	0.728370i	$0.259722\pi$
$284$	−1.54483	−	6.76835i	−0.0916689	−	0.401628i
$285$	−25.3193	+	12.1931i	−1.49978	+	0.722258i
$286$	1.98548			0.117404
$287$	3.84867	−	1.85342i	0.227180	−	0.109404i
$288$	−2.63667	−	1.26975i	−0.155367	−	0.0748208i
$289$	3.78207	−	16.5703i	0.222475	−	0.974725i
$290$	8.40440	−	36.8221i	0.493523	−	2.16227i
$291$	1.17995	−	5.16970i	0.0691699	−	0.303053i
$292$	−10.0829	+	12.6436i	−0.590060	+	0.739912i
$293$	11.8874			0.694469			0.347234	−	0.937778i	$-0.387121\pi$
$293$	11.8874			0.694469			0.347234	+	0.937778i	$0.387121\pi$
$294$	4.51326	+	19.7739i	0.263218	+	1.15324i
$295$	−17.5781	−	22.0423i	−1.02344	−	1.28335i
$296$	32.9761			1.91670
$297$	−0.223418	−	0.978857i	−0.0129640	−	0.0567990i
$298$	23.0734	+	11.1116i	1.33661	+	0.643677i
$299$	−5.19265	+	2.50065i	−0.300299	+	0.144616i
$300$	−15.5191	+	7.47360i	−0.895995	+	0.431488i
$301$	−3.68983	+	4.62690i	−0.212678	+	0.266690i
$302$	−41.4883			−2.38738
$303$	3.04308	+	13.3326i	0.174820	+	0.765938i
$304$	−10.2797	+	12.8903i	−0.589579	+	0.739309i
$305$	−2.85462	+	12.5069i	−0.163455	+	0.716143i
$306$	0.144140	+	0.0694142i	0.00823994	+	0.00396815i
$307$	−5.66567	+	7.10452i	−0.323357	+	0.405477i	−0.916766	−	0.399424i	$-0.869210\pi$
$307$	−5.66567	+	7.10452i	−0.323357	+	0.405477i	0.593409	+	0.804901i	$0.297782\pi$
$308$	0.587981			0.0335033
$309$	−4.58826	+	5.75349i	−0.261017	+	0.327305i
$310$	−11.8555			−0.673347
$311$	0.348601	+	0.167877i	0.0197674	+	0.00951946i	0.443741	−	0.896155i	$-0.353651\pi$
$311$	0.348601	+	0.167877i	0.0197674	+	0.00951946i	−0.423974	+	0.905674i	$0.639365\pi$
$312$	−16.2664	−	20.3974i	−0.920904	−	1.15478i
$313$	−0.803415	−	1.00745i	−0.0454117	−	0.0569445i	0.758607	−	0.651548i	$-0.225880\pi$
$313$	−0.803415	−	1.00745i	−0.0454117	−	0.0569445i	−0.804019	+	0.594604i	$0.797309\pi$
$314$	33.2246			1.87497
$315$	0.648389	+	2.84078i	0.0365326	+	0.160060i
$316$	40.7813			2.29413
$317$	6.99298	+	8.76891i	0.392765	+	0.492511i	0.938419	−	0.345499i	$-0.112290\pi$
$317$	6.99298	+	8.76891i	0.392765	+	0.492511i	−0.545654	+	0.838010i	$0.683719\pi$
$318$	3.22103	+	1.55117i	0.180627	+	0.0869852i
$319$	−0.604773	+	0.758362i	−0.0338608	+	0.0424601i
$320$	19.6124	−	24.5932i	1.09637	−	1.37480i
$321$	−21.6186	−	10.4109i	−1.20663	−	0.581082i
$322$	−2.36746	+	1.14011i	−0.131933	+	0.0635358i
$323$	−0.262568	+	0.329250i	−0.0146097	+	0.0183200i
$324$	−10.0510	+	12.6035i	−0.558388	+	0.700196i
$325$	−15.8752			−0.880599
$326$	0.367445	−	0.460762i	0.0203509	−	0.0255192i
$327$	−4.29140	−	18.8019i	−0.237315	−	1.03975i
$328$	12.1693	−	15.2599i	0.671940	−	0.842586i
$329$	5.23719	−	2.52210i	0.288736	−	0.139048i
$330$	1.68395			0.0926984
$331$	28.7276	+	13.8345i	1.57901	+	0.760412i	0.998548	−	0.0538738i	$-0.0171569\pi$
$331$	28.7276	+	13.8345i	1.57901	+	0.760412i	0.580464	+	0.814286i	$0.302871\pi$
$332$	−23.8687	−	11.4946i	−1.30997	−	0.630846i
$333$	2.02826	−	8.88638i	0.111148	−	0.486971i
$334$	0.724089	+	3.17244i	0.0396204	+	0.173588i
$335$	0.815092	−	3.57115i	0.0445333	−	0.195113i
$336$	−1.77144	−	2.22132i	−0.0966402	−	0.121183i
$337$	−24.4277	+	11.7638i	−1.33066	+	0.640813i	−0.957897	−	0.287112i	$-0.907305\pi$
$337$	−24.4277	+	11.7638i	−1.33066	+	0.640813i	−0.372765	+	0.927926i	$0.621590\pi$
$338$	−4.70991	−	20.6354i	−0.256185	−	1.12242i
$339$	14.1181	−	17.7036i	0.766792	−	0.961527i
$340$	−0.397930	+	0.498989i	−0.0215808	+	0.0270615i
$341$	0.274320	+	0.132106i	0.0148553	+	0.00715392i
$342$	11.8957	+	14.9167i	0.643246	+	0.806605i
$343$	−2.62177	+	11.4867i	−0.141562	+	0.620225i
$344$	−6.01707	+	26.3625i	−0.324419	+	1.42137i
$345$	−4.40406	+	2.12089i	−0.237107	+	0.114185i
$346$	3.19975	+	14.0190i	0.172020	+	0.753667i
$347$	−3.05753	−	3.83402i	−0.164137	−	0.205821i	0.692961	−	0.720975i	$-0.256306\pi$
$347$	−3.05753	−	3.83402i	−0.164137	−	0.205821i	−0.857097	+	0.515155i	$0.827735\pi$
$348$	27.6812			1.48387
$349$	−22.9381	+	11.0464i	−1.22785	+	0.591301i	−0.931487	−	0.363775i	$-0.881488\pi$
$349$	−22.9381	+	11.0464i	−1.22785	+	0.591301i	−0.296362	+	0.955076i	$0.595773\pi$
$350$	−7.23792			−0.386883
$351$	−23.7926	+	11.4579i	−1.26995	+	0.611577i
$352$	−0.415892	+	0.200283i	−0.0221671	+	0.0106751i
$353$	−22.4974			−1.19742			−0.598708	−	0.800967i	$-0.704319\pi$
$353$	−22.4974			−1.19742			−0.598708	+	0.800967i	$0.704319\pi$
$354$	19.8343	−	24.8715i	1.05418	−	1.32190i
$355$	1.20756	−	5.29067i	0.0640907	−	0.280800i
$356$	42.1261	−	20.2868i	2.23268	−	1.07520i
$357$	−0.0452471	−	0.0567381i	−0.00239473	−	0.00300290i
$358$	0.251361	+	0.315197i	0.0132848	+	0.0166587i
$359$	25.7848	+	12.4173i	1.36087	+	0.655360i	0.964830	−	0.262874i	$-0.0846703\pi$
$359$	25.7848	+	12.4173i	1.36087	+	0.655360i	0.396039	+	0.918234i	$0.370385\pi$
$360$	8.30101	+	10.4091i	0.437502	+	0.548610i
$361$	−28.1306	+	13.5470i	−1.48056	+	0.712998i
$362$	−5.89712	+	25.8370i	−0.309946	+	1.35796i
$363$	13.5246	+	6.51310i	0.709857	+	0.341849i
$364$	−3.44127	−	15.0772i	−0.180372	−	0.790259i
$365$	−11.3893	+	5.48478i	−0.596141	+	0.287087i
$366$	−14.4751			−0.756625
$367$	16.4118	−	20.5797i	0.856689	−	1.07425i	−0.139771	−	0.990184i	$-0.544637\pi$
$367$	16.4118	−	20.5797i	0.856689	−	1.07425i	0.996460	−	0.0840699i	$-0.0267919\pi$
$368$	−1.78806	+	2.24215i	−0.0932090	+	0.116880i
$369$	−3.36373	−	4.21798i	−0.175109	−	0.219579i
$370$	50.4383	+	24.2898i	2.62216	+	1.26277i
$371$	0.608382	+	0.762887i	0.0315856	+	0.0396071i
$372$	−1.93348	−	8.47113i	−0.100246	−	0.439208i
$373$	2.54763	+	11.1619i	0.131911	+	0.577941i	0.997074	+	0.0764488i	$0.0243582\pi$
$373$	2.54763	+	11.1619i	0.131911	+	0.577941i	−0.865162	+	0.501492i	$0.832785\pi$
$374$	0.0227358	−	0.0109490i	0.00117564	−	0.000566159i
$375$	6.36291			0.328579
$376$	16.5598	−	20.7653i	0.854006	−	1.07089i
$377$	22.9857	+	11.0693i	1.18382	+	0.570100i
$378$	−10.8476	+	5.22394i	−0.557942	+	0.268691i
$379$	7.50738	−	9.41395i	0.385628	−	0.483562i	−0.550693	−	0.834708i	$-0.685636\pi$
$379$	7.50738	−	9.41395i	0.385628	−	0.483562i	0.936321	+	0.351146i	$0.114208\pi$
$380$	−68.5762	+	33.0245i	−3.51788	+	1.69412i
$381$	4.25360	−	18.6362i	0.217918	−	0.954763i
$382$	−7.35050	−	32.2047i	−0.376084	−	1.64773i
$383$	18.8253	+	9.06580i	0.961929	+	0.463240i	0.847853	−	0.530232i	$-0.177895\pi$
$383$	18.8253	+	9.06580i	0.961929	+	0.463240i	0.114076	+	0.993472i	$0.463609\pi$
$384$	25.5745	+	12.3160i	1.30509	+	0.628500i
$385$	0.414096	+	0.199418i	0.0211043	+	0.0101633i
$386$	35.0238	+	43.9184i	1.78266	+	2.23539i
$387$	6.73406	+	3.24295i	0.342312	+	0.164849i
$388$	3.19585	−	14.0019i	0.162245	−	0.710840i
$389$	−4.16931	−	18.2669i	−0.211392	−	0.926171i	−0.963622	−	0.267269i	$-0.913879\pi$
$389$	−4.16931	−	18.2669i	−0.211392	−	0.926171i	0.752229	−	0.658901i	$-0.228978\pi$
$390$	−9.85564	−	43.1804i	−0.499060	−	2.18652i
$391$	−0.0456715	+	0.0572702i	−0.00230971	+	0.00289628i
$392$	5.62844	+	24.6598i	0.284279	+	1.24551i
$393$	0.831627	+	3.64360i	0.0419500	+	0.183795i
$394$	10.6683	−	46.7408i	0.537460	−	2.35477i
$395$	28.7210	+	13.8313i	1.44511	+	0.695927i
$396$	−0.165243	−	0.723978i	−0.00830379	−	0.0363813i
$397$	23.2383	+	29.1400i	1.16630	+	1.46249i	0.859807	+	0.510619i	$0.170584\pi$
$397$	23.2383	+	29.1400i	1.16630	+	1.46249i	0.306492	+	0.951873i	$0.400845\pi$
$398$	−6.26563	+	27.4515i	−0.314067	+	1.37602i
$399$	−1.92583	−	8.43762i	−0.0964122	−	0.422409i
$400$	−7.11709	+	3.42741i	−0.355854	+	0.171370i
$401$	0.941896	+	0.453593i	0.0470361	+	0.0226514i	0.457254	−	0.889336i	$-0.348833\pi$
$401$	0.941896	+	0.453593i	0.0470361	+	0.0226514i	−0.410218	+	0.911988i	$0.634547\pi$
$402$	4.13314			0.206142
$403$	1.78198	−	7.80737i	0.0887669	−	0.388913i
$404$	8.24206	+	36.1108i	0.410058	+	1.79658i
$405$	−11.3532	+	5.46739i	−0.564143	+	0.271677i
$406$	10.4798	+	5.04679i	0.520102	+	0.250468i
$407$	−0.896412	−	1.12407i	−0.0444335	−	0.0557179i
$408$	−0.298750	−	0.143871i	−0.0147903	−	0.00712265i
$409$	2.60588	+	1.25493i	0.128853	+	0.0620522i	0.497199	−	0.867636i	$-0.334362\pi$
$409$	2.60588	+	1.25493i	0.128853	+	0.0620522i	−0.368347	+	0.929689i	$0.620076\pi$
$410$	29.8538	−	14.3768i	1.47437	−	0.710021i
$411$	7.10958			0.350690
$412$	−12.4271	+	15.5831i	−0.612239	+	0.767724i
$413$	7.82275	−	3.76724i	0.384932	−	0.185374i
$414$	2.06915	+	2.59464i	0.101693	+	0.127519i
$415$	−12.9115	−	16.1905i	−0.633800	−	0.794761i
$416$	7.56982	+	9.49225i	0.371141	+	0.465396i
$417$	−5.74381	−	7.20251i	−0.281276	−	0.352708i
$418$	3.00945			0.147197
$419$	−19.4145			−0.948462			−0.474231	−	0.880400i	$-0.657274\pi$
$419$	−19.4145			−0.948462			−0.474231	+	0.880400i	$0.657274\pi$
$420$	−2.91866	−	12.7875i	−0.142416	−	0.623964i
$421$	9.78703	−	12.2726i	0.476991	−	0.598127i	−0.483877	−	0.875136i	$-0.660772\pi$
$421$	9.78703	−	12.2726i	0.476991	−	0.598127i	0.960867	+	0.277009i	$0.0893431\pi$
$422$	−16.6432	+	8.01495i	−0.810179	+	0.390162i
$423$	−4.57729	−	5.73974i	−0.222555	−	0.279076i
$424$	4.01693	+	1.93445i	0.195079	+	0.0939452i
$425$	−0.181788	+	0.0875446i	−0.00881802	+	0.00424654i
$426$	6.12326			0.296673
$427$	−3.55953	−	1.71418i	−0.172258	−	0.0829550i
$428$	−58.5530	−	28.1976i	−2.83026	−	1.36298i
$429$	−0.253112	+	1.10896i	−0.0122204	+	0.0535409i
$430$	−28.6217	+	35.8904i	−1.38026	+	1.73079i
$431$	−4.19387	+	2.01966i	−0.202012	+	0.0972837i	−0.532154	−	0.846647i	$-0.678617\pi$
$431$	−4.19387	+	2.01966i	−0.202012	+	0.0972837i	0.330143	+	0.943931i	$0.392903\pi$
$432$	−8.19282	+	10.2735i	−0.394177	+	0.494282i
$433$	10.1468	+	4.88642i	0.487622	+	0.234826i	0.661506	−	0.749940i	$-0.269918\pi$
$433$	10.1468	+	4.88642i	0.487622	+	0.234826i	−0.173884	+	0.984766i	$0.555632\pi$
$434$	0.812451	−	3.55958i	0.0389989	−	0.170865i
$435$	19.4949	+	9.38827i	0.934711	+	0.450133i
$436$	−11.6231	−	50.9241i	−0.556645	−	2.43882i
$437$	−7.87066	+	3.79031i	−0.376505	+	0.181315i
$438$	−8.89323	−	11.1518i	−0.424935	−	0.532852i
$439$	4.74373	−	20.7836i	0.226406	−	0.991948i	−0.726139	−	0.687548i	$-0.758687\pi$
$439$	4.74373	−	20.7836i	0.226406	−	0.991948i	0.952544	−	0.304400i	$-0.0984559\pi$
$440$	2.10004			0.100116
$441$	6.99151			0.332929
$442$	−0.413824	−	0.518918i	−0.0196836	−	0.0246824i
$443$	21.8017	+	10.4992i	1.03583	+	0.498830i	0.872947	−	0.487815i	$-0.162206\pi$
$443$	21.8017	+	10.4992i	1.03583	+	0.498830i	0.162884	+	0.986645i	$0.447920\pi$
$444$	−9.12999	+	40.0011i	−0.433290	+	1.89837i
$445$	36.5484			1.73256
$446$	24.1281	+	30.2556i	1.14250	+	1.43265i
$447$	−9.14763	+	11.4708i	−0.432668	+	0.542548i
$448$	6.04000	+	7.57392i	0.285363	+	0.357834i
$449$	14.3857	+	18.0391i	0.678904	+	0.851318i	0.995253	−	0.0973245i	$-0.0310285\pi$
$449$	14.3857	+	18.0391i	0.678904	+	0.851318i	−0.316349	+	0.948643i	$0.602457\pi$
$450$	2.03411	+	8.91202i	0.0958889	+	0.420117i
$451$	−0.850976			−0.0400709
$452$	38.2384	−	47.9494i	1.79858	−	2.25535i
$453$	5.28899	−	23.1726i	0.248499	−	1.08874i
$454$	31.9075	+	40.0108i	1.49749	+	1.87780i
$455$	2.68996	−	11.7855i	0.126107	−	0.552513i
$456$	−24.6555	−	30.9170i	−1.15460	−	1.44782i
$457$	−19.5523	−	9.41590i	−0.914619	−	0.440457i	−0.0834720	−	0.996510i	$-0.526601\pi$
$457$	−19.5523	−	9.41590i	−0.914619	−	0.440457i	−0.831147	+	0.556053i	$0.812315\pi$
$458$	−6.32565	+	7.93211i	−0.295578	+	0.370643i
$459$	−0.209265	+	0.262410i	−0.00976765	+	0.0122483i
$460$	−11.9282	+	5.74433i	−0.556156	+	0.267831i
$461$	−1.74754	−	7.65648i	−0.0813911	−	0.356598i	0.917790	−	0.397067i	$-0.129972\pi$
$461$	−1.74754	−	7.65648i	−0.0813911	−	0.356598i	−0.999181	+	0.0404691i	$0.987115\pi$
$462$	−0.115400	+	0.505601i	−0.00536890	+	0.0235227i
$463$	−25.6515	−	12.3531i	−1.19213	−	0.574098i	−0.270705	−	0.962662i	$-0.587257\pi$
$463$	−25.6515	−	12.3531i	−1.19213	−	0.574098i	−0.921422	+	0.388565i	$0.872971\pi$
$464$	12.6946			0.589334
$465$	1.51136	−	6.62170i	0.0700876	−	0.307074i
$466$	12.5898	−	55.1593i	0.583209	−	2.55521i
$467$	0.159843	−	0.700318i	0.00739665	−	0.0324069i	−0.971095	−	0.238694i	$-0.923281\pi$
$467$	0.159843	−	0.700318i	0.00739665	−	0.0324069i	0.978492	+	0.206287i	$0.0661380\pi$
$468$	−17.5974	+	8.47445i	−0.813439	+	0.391731i
$469$	1.01637	+	0.489458i	0.0469316	+	0.0226011i
$470$	40.6244	−	19.5637i	1.87386	−	0.902405i
$471$	−4.23553	+	18.5571i	−0.195163	+	0.855064i
$472$	24.7352	−	31.0170i	1.13853	−	1.42767i
$473$	1.06219	−	0.511525i	0.0488397	−	0.0235199i
$474$	−8.00395	+	35.0676i	−0.367634	+	1.61071i
$475$	−24.0626			−1.10407
$476$	−0.122550	−	0.153673i	−0.00561707	−	0.00704358i
$477$	0.768363	−	0.963497i	0.0351809	−	0.0441155i
$478$	7.61605	−	33.3681i	0.348350	−	1.52622i
$479$	−1.15709	−	5.06954i	−0.0528687	−	0.231633i	0.941590	−	0.336762i	$-0.109332\pi$
$479$	−1.15709	−	5.06954i	−0.0528687	−	0.231633i	−0.994459	+	0.105129i	$0.966475\pi$
$480$	6.42021	+	8.05069i	0.293041	+	0.367462i
$481$	−23.5772	+	29.5649i	−1.07503	+	1.34804i
$482$	24.4362	−	30.6420i	1.11304	−	1.39570i
$483$	−0.334981	−	1.46765i	−0.0152422	−	0.0667804i
$484$	36.6308	+	17.6405i	1.66504	+	0.801839i
$485$	6.99959	−	8.77720i	0.317835	−	0.398552i
$486$	16.3726	+	20.5306i	0.742676	+	0.931286i
$487$	−2.93812	+	12.8727i	−0.133139	+	0.583319i	0.863710	+	0.503990i	$0.168135\pi$
$487$	−2.93812	+	12.8727i	−0.133139	+	0.583319i	−0.996848	+	0.0793295i	$0.974722\pi$
$488$	−18.0518			−0.817165
$489$	0.210508	+	0.263969i	0.00951952	+	0.0119371i
$490$	−9.55520	+	41.8641i	−0.431660	+	1.89123i
$491$	−9.52493	+	41.7315i	−0.429854	+	1.88331i	0.0375924	+	0.999293i	$0.488031\pi$
$491$	−9.52493	+	41.7315i	−0.429854	+	1.88331i	−0.467447	+	0.884021i	$0.654826\pi$
$492$	15.1415	+	18.9868i	0.682629	+	0.855990i
$493$	0.324253			0.0146036
$494$	−17.6134	−	77.1692i	−0.792463	−	3.47201i
$495$	0.129167	−	0.565918i	0.00580563	−	0.0254361i
$496$	−0.886698	−	3.88488i	−0.0398139	−	0.174436i
$497$	1.50575	+	0.725133i	0.0675423	+	0.0325266i
$498$	14.5687	−	18.2686i	0.652839	−	0.818634i
$499$	8.31694	+	36.4389i	0.372317	+	1.63123i	0.720253	+	0.693711i	$0.244025\pi$
$499$	8.31694	+	36.4389i	0.372317	+	1.63123i	−0.347936	+	0.937518i	$0.613117\pi$
$500$	17.2337			0.770714
$501$	−1.86422			−0.0832873
$502$	3.81469	−	16.7132i	0.170258	−	0.745948i
$503$	29.0346	+	13.9823i	1.29459	+	0.623442i	0.949098	−	0.314980i	$-0.101998\pi$
$503$	29.0346	+	13.9823i	1.29459	+	0.623442i	0.345492	+	0.938422i	$0.387712\pi$
$504$	−3.69418	+	1.77902i	−0.164552	+	0.0792439i
$505$	−6.44263	+	28.2270i	−0.286693	+	1.25609i
$506$	0.523467			0.0232709
$507$	12.1260			0.538535
$508$	11.5207	−	50.4754i	0.511148	−	2.23949i
$509$	−18.8938			−0.837455			−0.418728	−	0.908112i	$-0.637524\pi$
$509$	−18.8938			−0.837455			−0.418728	+	0.908112i	$0.637524\pi$
$510$	−0.350978	−	0.440112i	−0.0155415	−	0.0194885i
$511$	−0.866289	−	3.79546i	−0.0383224	−	0.167901i
$512$	22.5354	+	10.8525i	0.995935	+	0.479617i
$513$	−36.0631	+	17.3671i	−1.59222	+	0.766775i
$514$	−5.42586	−	2.61296i	−0.239324	−	0.115253i
$515$	−14.0371	+	6.75992i	−0.618550	+	0.297878i
$516$	−30.3127	−	14.5978i	−1.33444	−	0.642633i
$517$	−1.15799			−0.0509284
$518$	−10.7494	+	13.4794i	−0.472304	+	0.592250i
$519$	−8.23800			−0.361608
$520$	−12.2909	−	53.8499i	−0.538991	−	2.36147i
$521$	−14.4180			−0.631662			−0.315831	−	0.948815i	$-0.602283\pi$
$521$	−14.4180			−0.631662			−0.315831	+	0.948815i	$0.602283\pi$
$522$	3.26891	−	14.3220i	0.143076	−	0.626858i
$523$	38.3979	−	18.4914i	1.67902	−	0.808574i	0.682009	−	0.731344i	$-0.261107\pi$
$523$	38.3979	−	18.4914i	1.67902	−	0.808574i	0.997013	−	0.0772305i	$-0.0246077\pi$
$524$	2.25243	+	9.86853i	0.0983977	+	0.431109i
$525$	0.922701	−	4.04262i	0.0402700	−	0.176434i
$526$	20.7256			0.903678
$527$	−0.0226485	−	0.0992296i	−0.000986584	−	0.00432251i
$528$	0.125946	+	0.551806i	0.00548111	+	0.0240143i
$529$	19.3533	−	9.32003i	0.841446	−	0.405219i
$530$	4.71916	+	5.91764i	0.204987	+	0.257046i
$531$	−6.83706	−	8.57340i	−0.296703	−	0.372054i
$532$	−5.21603	−	22.8529i	−0.226144	−	0.990801i
$533$	4.98050	+	21.8210i	0.215729	+	0.945172i
$534$	9.17665	+	40.2055i	0.397112	+	1.73986i
$535$	−31.6735	−	39.7173i	−1.36937	−	1.71713i
$536$	5.15441			0.222637
$537$	−0.208092	+	0.100212i	−0.00897983	+	0.00432446i
$538$	−44.7195	−	56.0764i	−1.92799	−	2.41763i
$539$	0.687584	−	0.862204i	0.0296164	−	0.0371377i
$540$	−54.6547	+	26.3203i	−2.35196	+	1.13265i
$541$	−13.1445	+	16.4827i	−0.565126	+	0.708646i	−0.979496	−	0.201463i	$-0.935431\pi$
$541$	−13.1445	+	16.4827i	−0.565126	+	0.708646i	0.414370	+	0.910109i	$0.364002\pi$
$542$	−17.3670	−	21.7775i	−0.745977	−	0.935425i
$543$	−13.6790	−	6.58748i	−0.587024	−	0.282696i
$544$	0.139028	+	0.0669523i	0.00596077	+	0.00287056i
$545$	9.08551	−	39.8062i	0.389180	−	1.70511i
$546$	13.6402			0.583746
$547$	−22.0672	+	7.74845i	−0.943526	+	0.331300i
$547$	−22.0672	+	7.74845i	−0.943526	+	0.331300i
$548$	19.2560			0.822575
$549$	−1.11031	+	4.86458i	−0.0473869	+	0.207615i
$550$	1.29909	+	0.625609i	0.0553934	+	0.0266761i
$551$	34.8401	+	16.7781i	1.48424	+	0.714772i
$552$	−4.28860	−	5.37774i	−0.182535	−	0.228892i
$553$	−6.12103	+	7.67553i	−0.260293	+	0.326397i
$554$	−51.6707	+	24.8833i	−2.19528	+	1.05719i
$555$	−19.9966	+	25.0750i	−0.848810	+	1.06437i
$556$	−15.5569	−	19.5077i	−0.659758	−	0.827310i
$557$	18.0424	−	8.68879i	0.764483	−	0.368156i	−0.0106585	−	0.999943i	$-0.503393\pi$
$557$	18.0424	−	8.68879i	0.764483	−	0.368156i	0.775142	+	0.631788i	$0.217678\pi$
$558$	−4.61122			−0.195209
$559$	−19.3334	−	24.2433i	−0.817714	−	1.02538i
$560$	−1.33850	−	5.86436i	−0.0565620	−	0.247815i
$561$	0.00321698	+	0.0140945i	0.000135821	+	0.000595071i
$562$	−14.7976	−	64.8323i	−0.624197	−	2.73479i
$563$	−20.7471	−	26.0161i	−0.874387	−	1.09645i	−0.994609	−	0.103699i	$-0.966932\pi$
$563$	−20.7471	−	26.0161i	−0.874387	−	1.09645i	0.120222	−	0.992747i	$-0.461639\pi$
$564$	20.6042	+	25.8368i	0.867592	+	1.08793i
$565$	43.1925	−	20.8004i	1.81712	−	0.875079i
$566$	5.38877	+	23.6097i	0.226507	+	0.992391i
$567$	−0.863542	−	3.78343i	−0.0362654	−	0.158889i
$568$	7.63626			0.320410
$569$	−5.78273	+	25.3358i	−0.242425	+	1.06213i	0.696378	+	0.717675i	$0.254794\pi$
$569$	−5.78273	+	25.3358i	−0.242425	+	1.06213i	−0.938802	+	0.344456i	$0.888063\pi$
$570$	−14.9385	−	65.4498i	−0.625704	−	2.74139i
$571$	−4.65912	+	2.24371i	−0.194978	+	0.0938965i	−0.528825	−	0.848731i	$-0.677367\pi$
$571$	−4.65912	+	2.24371i	−0.194978	+	0.0938965i	0.333847	+	0.942627i	$0.391653\pi$
$572$	−0.685543	+	3.00356i	−0.0286640	+	0.125585i
$573$	18.9244			0.790579
$574$	2.27073	+	9.94874i	0.0947786	+	0.415252i
$575$	−4.18547			−0.174546
$576$	7.62829	−	9.56557i	0.317845	−	0.398565i
$577$	8.09569			0.337028			0.168514	−	0.985699i	$-0.446103\pi$
$577$	8.09569			0.337028			0.168514	+	0.985699i	$0.446103\pi$
$578$	36.5816	+	17.6168i	1.52159	+	0.732761i
$579$	−28.9948	+	13.9632i	−1.20498	+	0.580289i
$580$	52.8012	+	25.4277i	2.19245	+	1.05583i
$581$	5.74597	−	2.76711i	0.238383	−	0.114799i
$582$	11.4129	+	5.49618i	0.473081	+	0.227824i
$583$	−0.0432548	−	0.189512i	−0.00179143	−	0.00784877i
$584$	−11.0907	−	13.9073i	−0.458936	−	0.575487i
$585$	−15.2674			−0.631230
$586$	−6.31905	+	27.6856i	−0.261038	+	1.14368i
$587$	32.3232			1.33412			0.667061	−	0.745004i	$-0.267552\pi$
$587$	32.3232			1.33412			0.667061	+	0.745004i	$0.267552\pi$
$588$	−31.4715			−1.29786
$589$	2.70100	−	11.8339i	0.111293	−	0.487606i
$590$	60.6803	−	29.2221i	2.49817	−	1.20305i
$591$	24.7463	+	11.9172i	1.01793	+	0.490208i
$592$	−4.18704	+	18.3446i	−0.172086	+	0.753958i
$593$	−31.0520			−1.27515			−0.637577	−	0.770387i	$-0.720063\pi$
$593$	−31.0520			−1.27515			−0.637577	+	0.770387i	$0.720063\pi$
$594$	2.39851			0.0984119
$595$	−0.0341887	−	0.149790i	−0.00140160	−	0.00614081i
$596$	−24.7760	+	31.0681i	−1.01486	+	1.27260i
$597$	−14.5338	−	6.99912i	−0.594830	−	0.286455i
$598$	−3.06369	−	13.4229i	−0.125284	−	0.548903i
$599$	6.41597	−	28.1102i	0.262149	−	1.14855i	−0.656765	−	0.754095i	$-0.728076\pi$
$599$	6.41597	−	28.1102i	0.262149	−	1.14855i	0.918915	−	0.394456i	$-0.129067\pi$
$600$	−4.21597	−	18.4714i	−0.172116	−	0.754091i
$601$	−24.3787			−0.994428			−0.497214	−	0.867628i	$-0.665644\pi$
$601$	−24.3787			−0.994428			−0.497214	+	0.867628i	$0.665644\pi$
$602$	−8.81457	−	11.0531i	−0.359255	−	0.450491i
$603$	0.317032	−	1.38901i	0.0129105	−	0.0565648i
$604$	14.3250	−	62.7620i	0.582877	−	2.55375i
$605$	19.8150	+	24.8472i	0.805593	+	1.01018i
$606$	−32.6691			−1.32709
$607$	−9.71493	+	42.5639i	−0.394317	+	1.72761i	0.254861	+	0.966978i	$0.417970\pi$
$607$	−9.71493	+	42.5639i	−0.394317	+	1.72761i	−0.649178	+	0.760637i	$0.724887\pi$
$608$	11.4738	+	14.3877i	0.465324	+	0.583498i
$609$	−4.15478	+	5.20992i	−0.168360	+	0.211117i
$610$	−27.6109	−	13.2967i	−1.11793	−	0.538369i
$611$	6.77736	+	29.6936i	0.274183	+	1.20127i
$612$	−0.154776	+	0.194083i	−0.00625644	+	0.00784533i
$613$	5.97436	−	7.49162i	0.241302	−	0.302584i	−0.646402	−	0.762997i	$-0.723727\pi$
$613$	5.97436	−	7.49162i	0.241302	−	0.302584i	0.887705	+	0.460413i	$0.152299\pi$
$614$	−13.5346	−	16.9719i	−0.546212	−	0.684928i
$615$	4.22413	+	18.5071i	0.170333	+	0.746279i
$616$	−0.143915	+	0.630531i	−0.00579848	+	0.0254048i
$617$	26.9534	−	33.7985i	1.08510	−	1.36067i	0.157322	−	0.987547i	$-0.449714\pi$
$617$	26.9534	−	33.7985i	1.08510	−	1.36067i	0.927780	−	0.373127i	$-0.121715\pi$
$618$	−10.9608	−	13.7444i	−0.440908	−	0.552881i
$619$	−1.34844			−0.0541985			−0.0270993	−	0.999633i	$-0.508627\pi$
$619$	−1.34844			−0.0541985			−0.0270993	+	0.999633i	$0.508627\pi$
$620$	4.09345	−	17.9346i	0.164397	−	0.720270i
$621$	−6.27285	+	3.02085i	−0.251721	+	0.121222i
$622$	−0.576292	+	0.722647i	−0.0231072	+	0.0289755i
$623$	−2.50464	+	10.9736i	−0.100346	+	0.439646i
$624$	13.4125	−	6.45911i	0.536929	−	0.258571i
$625$	27.4329	+	13.2110i	1.09732	+	0.528440i
$626$	2.77342	−	1.33561i	0.110848	−	0.0533816i
$627$	−0.383649	+	1.68088i	−0.0153215	+	0.0671278i
$628$	−11.4718	+	50.2610i	−0.457773	+	2.00563i
$629$	−0.106947	+	0.468567i	−0.00426427	+	0.0186830i
$630$	−6.96080			−0.277325
$631$	20.9029	+	10.0663i	0.832132	+	0.400733i	0.800914	−	0.598779i	$-0.204347\pi$
$631$	20.9029	+	10.0663i	0.832132	+	0.400733i	0.0312174	+	0.999513i	$0.490062\pi$
$632$	−9.98166	+	43.7325i	−0.397049	+	1.73959i
$633$	−2.35491	−	10.3175i	−0.0935994	−	0.410086i
$634$	−24.1400	+	11.6252i	−0.958721	+	0.461696i
$635$	25.2328	−	31.6409i	1.00133	−	1.25563i
$636$	−3.45871	+	4.33708i	−0.137147	+	0.171976i
$637$	−26.1331	−	12.5850i	−1.03543	−	0.498638i
$638$	−1.44473	−	1.81164i	−0.0571975	−	0.0717233i
$639$	0.469683	−	2.05782i	0.0185804	−	0.0814060i
$640$	37.4694	+	46.9851i	1.48111	+	1.85725i
$641$	−5.87986	+	25.7614i	−0.232241	+	1.01751i	0.715536	+	0.698576i	$0.246183\pi$
$641$	−5.87986	+	25.7614i	−0.232241	+	1.01751i	−0.947776	+	0.318936i	$0.896674\pi$
$642$	35.7389	−	44.8151i	1.41050	−	1.76871i
$643$	−37.5812			−1.48206			−0.741028	−	0.671474i	$-0.765662\pi$
$643$	−37.5812			−1.48206			−0.741028	+	0.671474i	$0.765662\pi$
$644$	−0.907283	−	3.97507i	−0.0357520	−	0.156640i
$645$	−16.3973	−	20.5615i	−0.645642	−	0.809609i
$646$	−0.627245	−	0.786540i	−0.0246786	−	0.0309460i
$647$	0.883087	−	1.10736i	0.0347177	−	0.0435346i	−0.764170	−	0.645015i	$-0.776851\pi$
$647$	0.883087	−	1.10736i	0.0347177	−	0.0435346i	0.798887	+	0.601481i	$0.205422\pi$
$648$	−11.0555	−	13.8632i	−0.434302	−	0.544597i
$649$	−1.72968			−0.0678959
$650$	8.43889	−	36.9732i	0.331000	−	1.45021i
$651$	1.88457	+	0.907561i	0.0738622	+	0.0355701i
$652$	0.570153	+	0.714949i	0.0223289	+	0.0279996i
$653$	22.0859			0.864289			0.432144	−	0.901804i	$-0.357757\pi$
$653$	22.0859			0.864289			0.432144	+	0.901804i	$0.357757\pi$
$654$	46.0705			1.80150
$655$	−1.76067	+	7.71401i	−0.0687952	+	0.301411i
$656$	6.94391	+	8.70738i	0.271114	+	0.339966i
$657$	−4.42988	+	2.13332i	−0.172826	+	0.0832286i
$658$	3.08997	+	13.5380i	0.120460	+	0.527768i
$659$	−27.1925	−	13.0952i	−1.05927	−	0.510117i	−0.178636	−	0.983915i	$-0.557168\pi$
$659$	−27.1925	−	13.0952i	−1.05927	−	0.510117i	−0.880634	+	0.473798i	$0.842883\pi$
$660$	−0.581432	+	2.54742i	−0.0226322	+	0.0991582i
$661$	−4.11102	−	1.97976i	−0.159900	−	0.0770039i	0.352222	−	0.935916i	$-0.385426\pi$
$661$	−4.11102	−	1.97976i	−0.159900	−	0.0770039i	−0.512122	+	0.858913i	$0.671140\pi$
$662$	−47.4912	+	59.5521i	−1.84580	+	2.31456i
$663$	0.342588	−	0.164982i	0.0133050	−	0.00640736i
$664$	18.1685	−	22.7826i	0.705075	−	0.884136i
$665$	4.07726	−	17.8636i	0.158109	−	0.692722i
$666$	19.6181	+	9.44757i	0.760185	+	0.366086i
$667$	6.06013	+	2.91841i	0.234649	+	0.113001i
$668$	−5.04917			−0.195358
$669$	−19.9747	+	9.61929i	−0.772265	+	0.371903i
$670$	7.88388	+	3.79668i	0.304581	+	0.146678i
$671$	0.490714	+	0.615336i	0.0189438	+	0.0237548i
$672$	−2.85717	+	1.37594i	−0.110218	+	0.0530780i
$673$	10.0275	−	12.5741i	0.386533	−	0.484697i	−0.550056	−	0.835128i	$-0.685394\pi$
$673$	10.0275	−	12.5741i	0.386533	−	0.484697i	0.936588	+	0.350431i	$0.113965\pi$
$674$	−14.4125	−	63.1451i	−0.555147	−	2.43226i
$675$	−19.1777			−0.738149
$676$	32.8428			1.26318
$677$	3.21821	+	4.03551i	0.123686	+	0.155097i	0.839819	−	0.542867i	$-0.182661\pi$
$677$	3.21821	+	4.03551i	0.123686	+	0.155097i	−0.716133	+	0.697964i	$0.754090\pi$
$678$	33.7265	+	42.2917i	1.29526	+	1.62420i
$679$	2.15565	+	2.70310i	0.0827263	+	0.103735i
$680$	−0.437701	−	0.548860i	−0.0167851	−	0.0210478i
$681$	−26.4150	+	12.7208i	−1.01222	+	0.487461i
$682$	−0.453494	+	0.568663i	−0.0173652	+	0.0217752i
$683$	−50.7266			−1.94100			−0.970500	−	0.241100i	$-0.922492\pi$
$683$	−50.7266			−1.94100			−0.970500	+	0.241100i	$0.922492\pi$
$684$	−26.6728	+	12.8450i	−1.01986	+	0.491140i
$685$	13.5614	+	6.53081i	0.518153	+	0.249529i
$686$	−25.3588	−	12.2121i	−0.968202	−	0.466262i
$687$	−3.62394	−	4.54428i	−0.138262	−	0.173375i
$688$	−13.9015	−	6.69459i	−0.529988	−	0.255229i
$689$	−4.60636	+	2.21831i	−0.175488	+	0.0845107i
$690$	−2.59842	−	11.3844i	−0.0989201	−	0.433397i
$691$	8.46427	−	37.0844i	0.321996	−	1.41076i	−0.512000	−	0.858986i	$-0.671095\pi$
$691$	8.46427	−	37.0844i	0.321996	−	1.41076i	0.833996	−	0.551771i	$-0.186048\pi$
$692$	−22.3123			−0.848186
$693$	0.161063	+	0.0775640i	0.00611829	+	0.00294641i
$694$	10.5547	−	5.08287i	0.400650	−	0.192943i
$695$	−4.34002	−	19.0149i	−0.164626	−	0.721275i
$696$	−6.77526	+	29.6844i	−0.256816	+	1.12518i
$697$	0.177365	+	0.222408i	0.00671817	+	0.00842432i
$698$	−13.5336	−	59.2945i	−0.512254	−	2.24433i
$699$	29.2033	+	14.0636i	1.10457	+	0.531934i
$700$	2.49910	−	10.9493i	0.0944570	−	0.413843i
$701$	−8.28409	−	36.2950i	−0.312886	−	1.37084i	−0.849756	−	0.527177i	$-0.823251\pi$
$701$	−8.28409	−	36.2950i	−0.312886	−	1.37084i	0.536870	−	0.843665i	$-0.319607\pi$
$702$	−14.0377	−	61.5033i	−0.529820	−	2.32129i
$703$	−35.7367	+	44.8124i	−1.34783	+	1.69013i
$704$	−0.429432	−	1.88146i	−0.0161848	−	0.0709104i
$705$	5.74811	+	25.1841i	0.216486	+	0.948488i
$706$	11.9591	−	52.3961i	0.450086	−	1.97195i
$707$	−8.03357	−	3.86876i	−0.302133	−	0.145500i
$708$	30.7763	+	38.5922i	1.15664	+	1.45039i
$709$	−9.18087	−	4.42127i	−0.344795	−	0.166044i	0.253469	−	0.967343i	$-0.418428\pi$
$709$	−9.18087	−	4.42127i	−0.344795	−	0.166044i	−0.598264	+	0.801299i	$0.704143\pi$
$710$	11.6800	+	5.62478i	0.438342	+	0.211094i
$711$	11.1711	+	5.37971i	0.418948	+	0.201755i
$712$	11.4441	+	50.1400i	0.428887	+	1.87908i
$713$	0.469816	−	2.05840i	0.0175947	−	0.0770876i
$714$	0.156195	−	0.0752193i	0.00584543	−	0.00281501i
$715$	−1.50149	+	1.88280i	−0.0561524	+	0.0704128i
$716$	−0.563608	+	0.271419i	−0.0210630	+	0.0101434i
$717$	17.6663	+	8.50763i	0.659759	+	0.317723i
$718$	−42.6263	+	53.4517i	−1.59080	+	1.99480i
$719$	15.7704			0.588138			0.294069	−	0.955784i	$-0.404990\pi$
$719$	15.7704			0.588138			0.294069	+	0.955784i	$0.404990\pi$
$720$	−6.84460	+	3.29619i	−0.255083	+	0.122842i
$721$	−1.06769	−	4.67786i	−0.0397629	−	0.174212i
$722$	−16.5972	−	72.7169i	−0.617683	−	2.70624i
$723$	13.9994	+	17.5547i	0.520643	+	0.652866i
$724$	−37.0491	−	17.8419i	−1.37692	−	0.663089i
$725$	11.5516	+	14.4852i	0.429015	+	0.537968i
$726$	−22.3583	+	28.0364i	−0.829793	+	1.04053i
$727$	−6.47478	+	8.11911i	−0.240136	+	0.301121i	−0.887266	−	0.461259i	$-0.847398\pi$
$727$	−6.47478	+	8.11911i	−0.240136	+	0.301121i	0.647129	+	0.762380i	$0.275969\pi$
$728$	17.0106			0.630453
$729$	−25.3091	+	12.1882i	−0.937373	+	0.451415i
$730$	−6.71972	−	29.4410i	−0.248708	−	1.08966i
$731$	−0.355078	−	0.170997i	−0.0131330	−	0.00632454i
$732$	4.99794	−	21.8974i	0.184729	−	0.809351i
$733$	11.5966	−	5.58464i	0.428331	−	0.206273i	−0.207282	−	0.978281i	$-0.566462\pi$
$733$	11.5966	−	5.58464i	0.428331	−	0.206273i	0.635613	+	0.772008i	$0.280747\pi$
$734$	39.2058	+	49.1625i	1.44711	+	1.81462i
$735$	−22.1644	−	10.6738i	−0.817545	−	0.393709i
$736$	1.99577	+	2.50261i	0.0735649	+	0.0922475i
$737$	−0.140116	−	0.175700i	−0.00516123	−	0.00647198i
$738$	11.6117	−	5.59189i	0.427432	−	0.205840i
$739$	−3.15748	+	13.8338i	−0.116150	+	0.508885i	0.883065	+	0.469252i	$0.155476\pi$
$739$	−3.15748	+	13.8338i	−0.116150	+	0.508885i	−0.999214	+	0.0396338i	$0.987381\pi$
$740$	−54.1600	+	67.9145i	−1.99096	+	2.49659i
$741$	45.3470			1.66586
$742$	−2.10015	+	1.01138i	−0.0770991	+	0.0371290i
$743$	4.27704	−	2.05971i	0.156909	−	0.0755635i	−0.353781	−	0.935328i	$-0.615104\pi$
$743$	4.27704	−	2.05971i	0.156909	−	0.0755635i	0.510690	+	0.859765i	$0.329390\pi$
$744$	9.55739			0.350391
$745$	−27.9859	+	13.4773i	−1.02532	+	0.493770i
$746$	−27.3501			−1.00136
$747$	−5.02195	−	6.29733i	−0.183744	−	0.230407i
$748$	0.00871306	+	0.0381744i	0.000318581	+	0.00139579i
$749$	14.0956	−	6.78807i	0.515041	−	0.248031i
$750$	−3.38237	+	14.8191i	−0.123507	+	0.541118i
$751$	−10.7868	+	47.2599i	−0.393615	+	1.72454i	0.258138	+	0.966108i	$0.416891\pi$
$751$	−10.7868	+	47.2599i	−0.393615	+	1.72454i	−0.651753	+	0.758431i	$0.725966\pi$
$752$	9.44913	+	11.8488i	0.344574	+	0.432082i
$753$	8.84860	+	4.26126i	0.322461	+	0.155289i
$754$	−37.9990	+	47.6492i	−1.38384	+	1.73528i
$755$	31.3748	−	39.3428i	1.14185	−	1.43183i
$756$	−4.15714	−	18.2136i	−0.151194	−	0.662423i
$757$	22.0987	−	10.6422i	0.803191	−	0.386796i	0.0131984	−	0.999913i	$-0.495799\pi$
$757$	22.0987	−	10.6422i	0.803191	−	0.386796i	0.789992	+	0.613117i	$0.210084\pi$
$758$	17.9342	+	22.4888i	0.651400	+	0.816830i
$759$	−0.0667324	+	0.292374i	−0.00242223	+	0.0106125i
$760$	−18.6297	−	81.6219i	−0.675769	−	2.96074i
$761$	8.71712	−	38.1922i	0.315995	−	1.38447i	−0.528514	−	0.848925i	$-0.677251\pi$
$761$	8.71712	−	38.1922i	0.315995	−	1.38447i	0.844509	−	0.535541i	$-0.179892\pi$
$762$	41.1424	+	19.8131i	1.49043	+	0.717754i
$763$	11.3291	+	5.45579i	0.410140	+	0.197513i
$764$	51.2560			1.85438
$765$	−0.174828	+	0.0841928i	−0.00632093	+	0.00304400i
$766$	−31.1212	+	39.0247i	−1.12445	+	1.41002i
$767$	10.1233	+	44.3530i	0.365531	+	1.60149i
$768$	−23.7514	+	29.7833i	−0.857055	+	1.07471i
$769$	32.1454			1.15919			0.579596	−	0.814904i	$-0.303211\pi$
$769$	32.1454			1.15919			0.579596	+	0.814904i	$0.303211\pi$
$770$	−0.684565	+	0.858417i	−0.0246700	+	0.0309352i
$771$	2.15112	−	2.69742i	0.0774707	−	0.0971452i
$772$	−78.5312	+	37.8186i	−2.82640	+	1.36112i
$773$	6.52518	+	3.14236i	0.234694	+	0.113023i	0.547535	−	0.836783i	$-0.315566\pi$
$773$	6.52518	+	3.14236i	0.234694	+	0.113023i	−0.312841	+	0.949806i	$0.601281\pi$
$774$	−11.1325	+	13.9597i	−0.400148	+	0.501770i
$775$	3.62599	−	4.54684i	0.130249	−	0.163327i
$776$	14.2330	+	6.85424i	0.510934	+	0.246053i
$777$	−6.15833	−	7.72230i	−0.220929	−	0.277036i
$778$	44.7598			1.60471
$779$	7.54909	+	33.0747i	0.270474	+	1.18502i
$780$	68.7247			2.46074
$781$	−0.207582	−	0.260299i	−0.00742786	−	0.00931425i
$782$	−0.109104	−	0.136812i	−0.00390154	−	0.00489238i
$783$	27.7673	+	13.3720i	0.992322	+	0.477877i
$784$	−14.4329			−0.515461
$785$	−25.1256	+	31.5065i	−0.896770	+	1.12451i
$786$	−8.92796			−0.318450
$787$	−27.5694	+	34.5710i	−0.982744	+	1.23232i	−0.0101176	+	0.999949i	$0.503221\pi$
$787$	−27.5694	+	34.5710i	−0.982744	+	1.23232i	−0.972627	+	0.232373i	$0.925351\pi$
$788$	67.0243	+	32.2772i	2.38764	+	1.14983i
$789$	−2.64213	+	11.5759i	−0.0940623	+	0.412114i
$790$	−47.4802	+	59.5383i	−1.68927	+	2.11828i
$791$	3.28530	+	14.3938i	0.116812	+	0.511786i
$792$	0.816815			0.0290243
$793$	12.9066	−	16.1844i	0.458328	−	0.574725i
$794$	−80.2195	+	38.6317i	−2.84688	+	1.37099i
$795$	−3.90681	+	1.88142i	−0.138560	+	0.0667271i
$796$	−39.3643	−	18.9568i	−1.39523	−	0.671907i
$797$	−0.490291	−	2.14810i	−0.0173670	−	0.0760897i	0.965502	−	0.260396i	$-0.0838532\pi$
$797$	−0.490291	−	2.14810i	−0.0173670	−	0.0760897i	−0.982869	+	0.184307i	$0.940996\pi$
$798$	20.6748			0.731881
$799$	0.241354	+	0.302649i	0.00853850	+	0.0107069i
$800$	1.96197	+	8.59593i	0.0693659	+	0.303912i
$801$	14.2156			0.502283
$802$	−1.55710	+	1.95254i	−0.0549832	+	0.0689467i
$803$	−0.172575	+	0.756102i	−0.00609005	+	0.0266823i
$804$	−1.42709	+	6.25247i	−0.0503294	+	0.220508i
$805$	0.709203	−	3.10722i	0.0249961	−	0.109515i
$806$	17.2360	+	8.30042i	0.607112	+	0.292370i
$807$	37.0215	−	17.8286i	1.30322	−	0.627596i
$808$	−40.7414			−1.43328
$809$	37.3830	−	18.0027i	1.31432	−	0.632941i	0.360339	−	0.932821i	$-0.382661\pi$
$809$	37.3830	−	18.0027i	1.31432	−	0.632941i	0.953977	+	0.299880i	$0.0969467\pi$
$810$	−6.69841	−	29.3477i	−0.235358	−	1.03117i
$811$	35.1159	−	16.9109i	1.23308	−	0.593822i	0.300159	−	0.953889i	$-0.402960\pi$
$811$	35.1159	−	16.9109i	1.23308	−	0.593822i	0.932926	+	0.360067i	$0.117246\pi$
$812$	−11.2530	+	14.1109i	−0.394904	+	0.495194i
$813$	14.3775	−	6.92382i	0.504239	−	0.242829i
$814$	3.09444	−	1.49021i	0.108460	−	0.0522317i
$815$	0.159060	+	0.696887i	0.00557163	+	0.0244109i
$816$	0.117968	−	0.147927i	0.00412971	−	0.00517849i
$817$	−29.3042	−	36.7462i	−1.02522	−	1.28559i
$818$	−4.30793	+	5.40198i	−0.150623	+	0.188876i
$819$	1.04627	−	4.58400i	0.0365595	−	0.160178i
$820$	11.4409	+	50.1257i	0.399533	+	1.75047i
$821$	−4.25814	−	18.6561i	−0.148610	−	0.651104i	−0.993272	−	0.115804i	$-0.963056\pi$
$821$	−4.25814	−	18.6561i	−0.148610	−	0.651104i	0.844662	−	0.535300i	$-0.179802\pi$
$822$	−3.77928	+	16.5581i	−0.131817	+	0.577530i
$823$	21.1783	−	26.5568i	0.738230	−	0.925711i	−0.260985	−	0.965343i	$-0.584047\pi$
$823$	21.1783	−	26.5568i	0.738230	−	0.925711i	0.999214	+	0.0396322i	$0.0126186\pi$
$824$	−13.6691	−	17.1405i	−0.476186	−	0.597119i
$825$	−0.515034	+	0.645832i	−0.0179312	+	0.0224850i
$826$	4.61546	+	20.2217i	0.160592	+	0.703601i
$827$	−1.03741	+	0.499588i	−0.0360741	+	0.0173724i	−0.451834	−	0.892102i	$-0.649230\pi$
$827$	−1.03741	+	0.499588i	−0.0360741	+	0.0173724i	0.415760	+	0.909474i	$0.363516\pi$
$828$	−4.63951	+	2.23427i	−0.161234	+	0.0776462i
$829$	−1.68337	+	2.11087i	−0.0584657	+	0.0733137i	−0.810205	−	0.586147i	$-0.800644\pi$
$829$	−1.68337	+	2.11087i	−0.0584657	+	0.0733137i	0.751739	+	0.659461i	$0.229215\pi$
$830$	44.5709	−	21.4642i	1.54708	−	0.745034i
$831$	−7.31109	−	32.0320i	−0.253619	−	1.11118i
$832$	−45.7318	+	22.0233i	−1.58546	+	0.763519i
$833$	−0.368653			−0.0127731
$834$	19.8278	−	9.54857i	0.686581	−	0.330640i
$835$	−3.55596	−	1.71246i	−0.123059	−	0.0592622i
$836$	−1.03910	+	4.55259i	−0.0359380	+	0.157454i
$837$	2.15268	−	9.43150i	0.0744075	−	0.326000i
$838$	10.3203	−	45.2162i	0.356509	−	1.56197i
$839$	4.13364	−	5.18342i	0.142709	−	0.178951i	−0.705340	−	0.708869i	$-0.749206\pi$
$839$	4.13364	−	5.18342i	0.142709	−	0.178951i	0.848049	+	0.529918i	$0.177777\pi$
$840$	14.4272			0.497786
$841$	−0.172285	−	0.754831i	−0.00594087	−	0.0260287i
$842$	23.3800	+	29.3177i	0.805730	+	1.01035i
$843$	38.0974			1.31214
$844$	−6.37818	−	27.9446i	−0.219546	−	0.961894i
$845$	23.1301	+	11.1389i	0.795700	+	0.383189i
$846$	15.8009	−	7.60934i	0.543248	−	0.261614i
$847$	−8.81820	+	4.24662i	−0.302997	+	0.145916i
$848$	−1.58617	+	1.98900i	−0.0544693	+	0.0683024i
$849$	−13.8738			−0.476147
$850$	−0.107256	−	0.469919i	−0.00367885	−	0.0161181i
$851$	−6.21608	+	7.79472i	−0.213085	+	0.267200i
$852$	−2.11423	+	9.26304i	−0.0724323	+	0.317347i
$853$	40.7485	+	19.6234i	1.39520	+	0.671893i	0.972182	−	0.234228i	$-0.0752561\pi$
$853$	40.7485	+	19.6234i	1.39520	+	0.671893i	0.423019	+	0.906121i	$0.360970\pi$
$854$	5.88446	−	7.37888i	0.201362	−	0.252500i
$855$	−23.1413			−0.791415
$856$	44.5696	−	55.8886i	1.52336	−	1.91023i
$857$	44.7577			1.52889			0.764447	−	0.644687i	$-0.223012\pi$
$857$	44.7577			1.52889			0.764447	+	0.644687i	$0.223012\pi$
$858$	−2.44819	−	1.17899i	−0.0835800	−	0.0402500i
$859$	2.65798	+	3.33300i	0.0906891	+	0.113721i	0.825106	−	0.564978i	$-0.191116\pi$
$859$	2.65798	+	3.33300i	0.0906891	+	0.113721i	−0.734417	+	0.678699i	$0.762544\pi$
$860$	−44.4113	−	55.6900i	−1.51441	−	1.89901i
$861$	−5.84618			−0.199237
$862$	−2.47440	−	10.8411i	−0.0842785	−	0.369248i
$863$	2.81009			0.0956565			0.0478282	−	0.998856i	$-0.484770\pi$
$863$	2.81009			0.0956565			0.0478282	+	0.998856i	$0.484770\pi$
$864$	9.14453	+	11.4669i	0.311103	+	0.390111i
$865$	−15.7138	−	7.56738i	−0.534286	−	0.257298i
$866$	−16.7742	+	21.0341i	−0.570010	+	0.714769i
$867$	−14.5030	+	18.1862i	−0.492549	+	0.617637i
$868$	5.10428	+	2.45809i	0.173251	+	0.0834331i
$869$	1.76206	−	0.848564i	0.0597738	−	0.0287856i
$870$	−32.2282	+	40.4129i	−1.09264	+	1.37012i
$871$	−3.68529	+	4.62121i	−0.124871	+	0.156584i
$872$	57.4541			1.94564
$873$	2.72250	−	3.41391i	0.0921428	−	0.115543i
$874$	−4.64373	−	20.3455i	−0.157076	−	0.688197i
$875$	−2.58667	+	3.24358i	−0.0874455	+	0.109653i
$876$	19.9406	−	9.60290i	0.673731	−	0.324452i
$877$	28.1911			0.951945			0.475972	−	0.879460i	$-0.342096\pi$
$877$	28.1911			0.951945			0.475972	+	0.879460i	$0.342096\pi$
$878$	45.8831	+	22.0961i	1.54848	+	0.745709i
$879$	−14.6578	−	7.05880i	−0.494394	−	0.238087i
$880$	−0.266646	+	1.16825i	−0.00898864	+	0.0393818i
$881$	−9.40248	−	41.1950i	−0.316778	−	1.38789i	−0.843168	−	0.537650i	$-0.819312\pi$
$881$	−9.40248	−	41.1950i	−0.316778	−	1.38789i	0.526390	−	0.850243i	$-0.323545\pi$
$882$	−3.71652	+	16.2831i	−0.125142	+	0.548281i
$883$	−24.1566	−	30.2914i	−0.812934	−	1.01939i	−0.999319	−	0.0369106i	$-0.988248\pi$
$883$	−24.1566	−	30.2914i	−0.812934	−	1.01939i	0.186384	−	0.982477i	$-0.440323\pi$
$884$	0.927885	−	0.446846i	0.0312082	−	0.0150291i
$885$	8.58589	+	37.6173i	0.288612	+	1.26449i
$886$	−36.0417	+	45.1948i	−1.21084	+	1.51835i
$887$	−2.32255	+	2.91238i	−0.0779835	+	0.0977883i	−0.819293	−	0.573375i	$-0.805634\pi$
$887$	−2.32255	+	2.91238i	−0.0779835	+	0.0977883i	0.741309	+	0.671164i	$0.234205\pi$
$888$	−40.6612	−	19.5814i	−1.36450	−	0.657109i
$889$	7.77089	+	9.74439i	0.260627	+	0.326816i
$890$	−19.4283	+	85.1208i	−0.651237	+	2.85326i
$891$	−0.172028	+	0.753705i	−0.00576316	+	0.0252501i
$892$	−54.1005	+	26.0534i	−1.81142	+	0.872334i
$893$	10.2726	+	45.0074i	0.343761	+	1.50612i
$894$	−21.8526	−	27.4023i	−0.730860	−	0.916469i
$895$	−0.488985			−0.0163450
$896$	−16.6749	+	8.03021i	−0.557069	+	0.268270i
$897$	7.88770			0.263363
$898$	−49.6599	+	23.9150i	−1.65717	+	0.798053i
$899$	−8.42044	+	4.05507i	−0.280837	+	0.135244i
$900$	−14.1841			−0.472804
$901$	−0.0405148	+	0.0508039i	−0.00134974	+	0.00169252i
$902$	0.452358	−	1.98191i	0.0150619	−	0.0659904i
$903$	7.29723	−	3.51416i	0.242837	−	0.116944i
$904$	42.0601	+	52.7417i	1.39890	+	1.75416i
$905$	−20.0413	−	25.1310i	−0.666194	−	0.835381i
$906$	51.1572	+	24.6360i	1.69958	+	0.818476i
$907$	−5.99823	−	7.52155i	−0.199168	−	0.249749i	0.672211	−	0.740360i	$-0.265345\pi$
$907$	−5.99823	−	7.52155i	−0.199168	−	0.249749i	−0.871379	+	0.490611i	$0.836774\pi$
$908$	−71.5439	+	34.4537i	−2.37427	+	1.14339i
$909$	−2.50588	+	10.9790i	−0.0831147	+	0.364149i
$910$	26.0184	+	12.5298i	0.862500	+	0.415358i
$911$	−2.83891	−	12.4381i	−0.0940574	−	0.412092i	0.905877	−	0.423541i	$-0.139213\pi$
$911$	−2.83891	−	12.4381i	−0.0940574	−	0.412092i	−0.999934	+	0.0114484i	$0.996356\pi$
$912$	20.3297	−	9.79026i	0.673183	−	0.324188i
$913$	−1.27048			−0.0420469
$914$	32.3230	−	40.5318i	1.06915	−	1.34067i
$915$	10.9466	−	13.7265i	0.361882	−	0.453786i
$916$	−9.81530	−	12.3080i	−0.324307	−	0.406668i
$917$	−2.19545	−	1.05727i	−0.0725001	−	0.0349142i
$918$	−0.499909	−	0.626866i	−0.0164995	−	0.0206897i
$919$	−4.55458	−	19.9549i	−0.150242	−	0.658252i	−0.992814	−	0.119669i	$-0.961817\pi$
$919$	−4.55458	−	19.9549i	−0.150242	−	0.658252i	0.842572	−	0.538584i	$-0.181040\pi$
$920$	−3.24047	−	14.1974i	−0.106835	−	0.468075i
$921$	11.2048	−	5.39593i	0.369209	−	0.177802i
$922$	18.7608			0.617853
$923$	−5.45977	+	6.84633i	−0.179710	+	0.225350i
$924$	−0.725010	−	0.349146i	−0.0238511	−	0.0114861i
$925$	−24.7422	+	11.9152i	−0.813517	+	0.391769i
$926$	42.4059	−	53.1754i	1.39355	−	1.74745i
$927$	−5.45977	+	2.62929i	−0.179322	+	0.0863571i
$928$	3.15297	−	13.8141i	0.103501	−	0.453469i
$929$	−2.42419	−	10.6211i	−0.0795351	−	0.348466i	0.919465	−	0.393172i	$-0.128622\pi$
$929$	−2.42419	−	10.6211i	−0.0795351	−	0.348466i	−0.999000	+	0.0447055i	$0.985765\pi$
$930$	14.6184	+	7.03987i	0.479357	+	0.230846i
$931$	−39.6107	−	19.0755i	−1.29819	−	0.625175i
$932$	79.0960	+	38.0906i	2.59088	+	1.24770i
$933$	−0.330156	−	0.414003i	−0.0108088	−	0.0135538i
$934$	1.54606	+	0.744544i	0.0505887	+	0.0243622i
$935$	−0.00681081	+	0.0298401i	−0.000222737	+	0.000975875i
$936$	−4.78057	−	20.9450i	−0.156258	−	0.684610i
$937$	−10.4461	−	45.7672i	−0.341258	−	1.49515i	−0.796421	−	0.604742i	$-0.793276\pi$
$937$	−10.4461	−	45.7672i	−0.341258	−	1.49515i	0.455163	−	0.890408i	$-0.349581\pi$
$938$	−1.68022	+	2.10693i	−0.0548611	+	0.0687936i
$939$	0.392421	+	1.71931i	0.0128062	+	0.0561076i
$940$	15.5685	+	68.2101i	0.507789	+	2.22477i
$941$	10.5881	−	46.3896i	0.345163	−	1.51226i	−0.442848	−	0.896597i	$-0.646032\pi$
$941$	10.5881	−	46.3896i	0.345163	−	1.51226i	0.788011	−	0.615662i	$-0.211111\pi$
$942$	−40.9676	−	19.7290i	−1.33480	−	0.642805i
$943$	1.31310	+	5.75306i	0.0427603	+	0.187345i
$944$	14.1141	+	17.6985i	0.459374	+	0.576037i
$945$	3.24954	−	14.2372i	0.105708	−	0.463135i
$946$	0.626698	+	2.74575i	0.0203757	+	0.0892719i
$947$	−29.0519	+	13.9907i	−0.944060	+	0.454635i	−0.841600	−	0.540102i	$-0.818386\pi$
$947$	−29.0519	+	13.9907i	−0.944060	+	0.454635i	−0.102460	+	0.994737i	$0.532671\pi$
$948$	−50.2854	−	24.2162i	−1.63319	−	0.786505i
$949$	20.3982			0.662155
$950$	12.7911	−	56.0413i	0.414997	−	1.81822i
$951$	−3.41566	−	14.9650i	−0.110760	−	0.485273i
$952$	0.194789	−	0.0938054i	0.00631315	−	0.00304025i
$953$	−45.2017	−	21.7680i	−1.46423	−	0.705134i	−0.479226	−	0.877691i	$-0.659083\pi$
$953$	−45.2017	−	21.7680i	−1.46423	−	0.705134i	−0.984999	+	0.172558i	$0.944797\pi$
$954$	1.83553	+	2.30168i	0.0594274	+	0.0745196i
$955$	36.0980	+	17.3839i	1.16810	+	0.562528i
$956$	47.8484	+	23.0426i	1.54753	+	0.745250i
$957$	1.19604	−	0.575980i	0.0386623	−	0.0186188i
$958$	12.4220			0.401335
$959$	−2.89021	+	3.62421i	−0.0933297	+	0.117032i
$960$	−38.7866	+	18.6787i	−1.25183	+	0.602851i
$961$	−17.4991	−	21.9431i	−0.564486	−	0.707844i
$962$	−56.3232	−	70.6270i	−1.81593	−	2.27711i
$963$	−12.3195	−	15.4481i	−0.396990	−	0.497809i
$964$	37.9168	+	47.5461i	1.22122	+	1.53136i
$965$	−68.1334			−2.19329
$966$	3.59620			0.115706
$967$	−6.20985	−	27.2071i	−0.199695	−	0.874923i	−0.971118	−	0.238600i	$-0.923312\pi$
$967$	−6.20985	−	27.2071i	−0.199695	−	0.874923i	0.771423	−	0.636323i	$-0.219546\pi$
$968$	−27.8828	+	34.9639i	−0.896187	+	1.12378i
$969$	0.519271	−	0.250068i	0.0166814	−	0.00803333i
$970$	16.7212	+	20.9677i	0.536884	+	0.673232i
$971$	35.1816	+	16.9426i	1.12903	+	0.543713i	0.902672	−	0.430330i	$-0.141603\pi$
$971$	35.1816	+	16.9426i	1.12903	+	0.543713i	0.226361	+	0.974043i	$0.427317\pi$
$972$	−36.7110	+	17.6791i	−1.17751	+	0.567057i
$973$	6.00657			0.192562
$974$	−28.4186	−	13.6857i	−0.910590	−	0.438517i
$975$	19.5750	+	9.42680i	0.626900	+	0.301899i
$976$	2.29207	−	10.0422i	0.0733673	−	0.321443i
$977$	−32.6061	+	40.8868i	−1.04316	+	1.30808i	−0.0932234	+	0.995645i	$0.529717\pi$
$977$	−32.6061	+	40.8868i	−1.04316	+	1.30808i	−0.949938	+	0.312438i	$0.898854\pi$
$978$	−0.726682	+	0.349951i	−0.0232367	+	0.0111902i
$979$	1.39804	−	1.75309i	0.0446816	−	0.0560290i
$980$	−60.0313	−	28.9095i	−1.91763	−	0.923481i
$981$	3.53383	−	15.4827i	0.112826	−	0.494325i
$982$	−92.1288	−	44.3669i	−2.93995	−	1.41580i
$983$	−5.64996	−	24.7541i	−0.180206	−	0.789533i	−0.981531	−	0.191304i	$-0.938728\pi$
$983$	−5.64996	−	24.7541i	−0.180206	−	0.789533i	0.801325	−	0.598229i	$-0.204129\pi$
$984$	−24.0668	+	11.5900i	−0.767222	+	0.369475i
$985$	36.2560	+	45.4636i	1.15521	+	1.44859i
$986$	−0.172365	+	0.755181i	−0.00548922	+	0.0240499i
$987$	−7.95536			−0.253222
$988$	122.820			3.90744
$989$	−5.09720	−	6.39169i	−0.162082	−	0.203244i
$990$	1.24935	+	0.601657i	0.0397070	+	0.0191219i
$991$	1.47275	−	6.45252i	0.0467833	−	0.204971i	−0.946135	−	0.323774i	$-0.895048\pi$
$991$	1.47275	−	6.45252i	0.0467833	−	0.204971i	0.992918	+	0.118803i	$0.0379055\pi$
$992$	−4.44767			−0.141214
$993$	−27.2076	−	34.1172i	−0.863406	−	1.08268i
$994$	−2.48925	+	3.12142i	−0.0789541	+	0.0990053i
$995$	−21.2936	−	26.7014i	−0.675053	−	0.846490i
$996$	22.6058	+	28.3468i	0.716292	+	0.898201i
$997$	5.68806	+	24.9210i	0.180143	+	0.789257i	0.981560	+	0.191152i	$0.0612224\pi$
$997$	5.68806	+	24.9210i	0.180143	+	0.789257i	−0.801418	+	0.598105i	$0.795921\pi$
$998$	−89.2868			−2.82632
$999$	−28.4819	+	35.7151i	−0.901126	+	1.12998i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	547.2.e.a.9.4	✓	264
547.304	even	7	inner	547.2.e.a.304.4	yes	264

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
547.2.e.a.9.4	✓	264	1.1	even	1	trivial
547.2.e.a.304.4	yes	264	547.304	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 547 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	547.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.531576 + 2.32899i) q^{2} +(-1.23305 - 0.593806i) q^{3} +(-3.33966 - 1.60830i) q^{4} +(-1.80655 - 2.26534i) q^{5} +(2.03842 - 2.55610i) q^{6} +(0.803964 - 0.387169i) q^{7} +(2.54210 - 3.18770i) q^{8} +(-0.702662 - 0.881110i) q^{9} +O(q^{10})\)	\(q+(-0.531576 + 2.32899i) q^{2} +(-1.23305 - 0.593806i) q^{3} +(-3.33966 - 1.60830i) q^{4} +(-1.80655 - 2.26534i) q^{5} +(2.03842 - 2.55610i) q^{6} +(0.803964 - 0.387169i) q^{7} +(2.54210 - 3.18770i) q^{8} +(-0.702662 - 0.881110i) q^{9} +(6.23627 - 3.00323i) q^{10} -0.177764 q^{11} +(3.16296 + 3.96622i) q^{12} +(1.04040 + 4.55827i) q^{13} +(0.474343 + 2.07823i) q^{14} +(0.882394 + 3.86602i) q^{15} +(1.45054 + 1.81892i) q^{16} +(0.0370504 + 0.0464598i) q^{17} +(2.42561 - 1.16811i) q^{18} +(1.57696 + 6.90911i) q^{19} +(2.38993 + 10.4710i) q^{20} -1.22123 q^{21} +(0.0944949 - 0.414009i) q^{22} +(0.274298 + 1.20178i) q^{23} +(-5.02741 + 2.42107i) q^{24} +(-0.755550 + 3.31028i) q^{25} -11.1692 q^{26} +(1.25682 + 5.50651i) q^{27} -3.30765 q^{28} +(3.40212 - 4.26612i) q^{29} -9.47297 q^{30} +(-1.54317 - 0.743153i) q^{31} +(2.33958 - 1.12668i) q^{32} +(0.219192 + 0.105557i) q^{33} +(-0.127899 + 0.0615930i) q^{34} +(-2.32947 - 1.12182i) q^{35} +(0.929568 + 4.07270i) q^{36} +(5.04272 + 6.32337i) q^{37} -16.9295 q^{38} +(1.42387 - 6.23837i) q^{39} -11.8137 q^{40} +4.78712 q^{41} +(0.649177 - 2.84423i) q^{42} +(-5.97531 + 2.87756i) q^{43} +(0.593671 + 0.285897i) q^{44} +(-0.726623 + 3.18354i) q^{45} -2.94474 q^{46} +6.51421 q^{47} +(-0.708504 - 3.10416i) q^{48} +(-3.86797 + 4.85028i) q^{49} +(-7.30796 - 3.51933i) q^{50} +(-0.0180970 - 0.0792880i) q^{51} +(3.85649 - 16.8964i) q^{52} +(0.243327 + 1.06609i) q^{53} -13.4927 q^{54} +(0.321139 + 0.402696i) q^{55} +(0.809583 - 3.54702i) q^{56} +(2.15820 - 9.45568i) q^{57} +(8.12726 + 10.1913i) q^{58} +9.73022 q^{59} +(3.27081 - 14.3304i) q^{60} +(-2.76049 - 3.46154i) q^{61} +(2.55111 - 3.19899i) q^{62} +(-0.906053 - 0.436332i) q^{63} +(2.41575 + 10.5841i) q^{64} +(8.44652 - 10.5916i) q^{65} +(-0.362358 + 0.454382i) q^{66} +(0.788214 + 0.988390i) q^{67} +(-0.0490149 - 0.214748i) q^{68} +(0.375400 - 1.64473i) q^{69} +(3.85098 - 4.82898i) q^{70} +(1.16774 + 1.46430i) q^{71} -4.59495 q^{72} +(0.970814 - 4.25341i) q^{73} +(-17.4076 + 8.38307i) q^{74} +(2.89729 - 3.63309i) q^{75} +(5.84539 - 25.6103i) q^{76} +(-0.142916 + 0.0688245i) q^{77} +(13.7722 + 6.63233i) q^{78} +(-9.91238 + 4.77355i) q^{79} +(1.50000 - 6.57194i) q^{80} +(0.967736 - 4.23993i) q^{81} +(-2.54472 + 11.1491i) q^{82} +7.14704 q^{83} +(4.07850 + 1.96410i) q^{84} +(0.0383138 - 0.167864i) q^{85} +(-3.52546 - 15.4460i) q^{86} +(-6.72823 + 3.24015i) q^{87} +(-0.451894 + 0.566657i) q^{88} +(-7.86461 + 9.86191i) q^{89} +(-7.02817 - 3.38459i) q^{90} +(2.60126 + 3.26188i) q^{91} +(1.01675 - 4.45469i) q^{92} +(1.46152 + 1.83269i) q^{93} +(-3.46280 + 15.1715i) q^{94} +(12.8026 - 16.0540i) q^{95} -3.55385 q^{96} +(0.862170 + 3.77741i) q^{97} +(-9.24012 - 11.5867i) q^{98} +(0.124908 + 0.156629i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 264 q - 2 q^{2} - q^{3} - 44 q^{4} - 3 q^{5} - 10 q^{6} - 18 q^{7} - q^{8} - 35 q^{9}+O(q^{10}) \) 264 * q - 2 * q^2 - q^3 - 44 * q^4 - 3 * q^5 - 10 * q^6 - 18 * q^7 - q^8 - 35 * q^9	\( 264 q - 2 q^{2} - q^{3} - 44 q^{4} - 3 q^{5} - 10 q^{6} - 18 q^{7} - q^{8} - 35 q^{9} + 13 q^{10} - 4 q^{11} + 31 q^{12} + 7 q^{13} - 44 q^{14} + 7 q^{15} - 76 q^{16} + 13 q^{17} - 22 q^{18} + 11 q^{19} + 30 q^{20} + 42 q^{21} - 28 q^{22} + 21 q^{23} + 85 q^{24} - 37 q^{25} - 150 q^{26} - 46 q^{27} + 34 q^{28} + 25 q^{29} + 10 q^{30} - 25 q^{31} + 44 q^{32} - 18 q^{33} + 41 q^{34} - 3 q^{35} + 21 q^{36} - 29 q^{37} - 18 q^{38} - 11 q^{39} + 90 q^{40} - 42 q^{41} + 11 q^{42} - 43 q^{43} - 22 q^{44} - 26 q^{45} + 78 q^{46} - 6 q^{47} + 31 q^{48} - 70 q^{49} + 6 q^{50} - 54 q^{51} + 87 q^{52} + 6 q^{53} - 20 q^{54} - 5 q^{55} - 127 q^{56} + 61 q^{57} + 10 q^{58} - 16 q^{59} + 30 q^{60} + 27 q^{61} + 26 q^{62} - 29 q^{63} - 57 q^{64} - 52 q^{65} + 39 q^{66} - 2 q^{67} - 8 q^{68} - 55 q^{69} - 34 q^{70} - 3 q^{71} - 82 q^{72} - 8 q^{73} + 7 q^{74} - 136 q^{75} + 125 q^{76} - 11 q^{77} + 10 q^{78} - 15 q^{79} - q^{80} - 79 q^{81} - 75 q^{82} - 72 q^{83} - 96 q^{84} - 3 q^{85} + 121 q^{86} + 33 q^{87} - 20 q^{88} - 60 q^{89} - 31 q^{90} + 51 q^{91} + 104 q^{92} + 44 q^{93} - 58 q^{94} + 95 q^{95} - 162 q^{96} - 45 q^{97} + 103 q^{98} - 234 q^{99}+O(q^{100}) \) 264 * q - 2 * q^2 - q^3 - 44 * q^4 - 3 * q^5 - 10 * q^6 - 18 * q^7 - q^8 - 35 * q^9 + 13 * q^10 - 4 * q^11 + 31 * q^12 + 7 * q^13 - 44 * q^14 + 7 * q^15 - 76 * q^16 + 13 * q^17 - 22 * q^18 + 11 * q^19 + 30 * q^20 + 42 * q^21 - 28 * q^22 + 21 * q^23 + 85 * q^24 - 37 * q^25 - 150 * q^26 - 46 * q^27 + 34 * q^28 + 25 * q^29 + 10 * q^30 - 25 * q^31 + 44 * q^32 - 18 * q^33 + 41 * q^34 - 3 * q^35 + 21 * q^36 - 29 * q^37 - 18 * q^38 - 11 * q^39 + 90 * q^40 - 42 * q^41 + 11 * q^42 - 43 * q^43 - 22 * q^44 - 26 * q^45 + 78 * q^46 - 6 * q^47 + 31 * q^48 - 70 * q^49 + 6 * q^50 - 54 * q^51 + 87 * q^52 + 6 * q^53 - 20 * q^54 - 5 * q^55 - 127 * q^56 + 61 * q^57 + 10 * q^58 - 16 * q^59 + 30 * q^60 + 27 * q^61 + 26 * q^62 - 29 * q^63 - 57 * q^64 - 52 * q^65 + 39 * q^66 - 2 * q^67 - 8 * q^68 - 55 * q^69 - 34 * q^70 - 3 * q^71 - 82 * q^72 - 8 * q^73 + 7 * q^74 - 136 * q^75 + 125 * q^76 - 11 * q^77 + 10 * q^78 - 15 * q^79 - q^80 - 79 * q^81 - 75 * q^82 - 72 * q^83 - 96 * q^84 - 3 * q^85 + 121 * q^86 + 33 * q^87 - 20 * q^88 - 60 * q^89 - 31 * q^90 + 51 * q^91 + 104 * q^92 + 44 * q^93 - 58 * q^94 + 95 * q^95 - 162 * q^96 - 45 * q^97 + 103 * q^98 - 234 * q^99

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