LMFDB - Embedded newform 150.3.k.a.73.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [150,3,Mod(13,150)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(150, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("150.13");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 150 = 2 \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	150.k (of order $20$, degree $8$, 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:	$4.08720396540$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.2
Character	$\chi$	$=$	150.73
Dual form			150.3.k.a.37.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.221232 - 1.39680i) q^{2} +(-1.54327 + 0.786335i) q^{3} +(-1.90211 - 0.618034i) q^{4} +(3.55879 + 3.51212i) q^{5} +(0.756934 + 2.32960i) q^{6} +(-5.48204 + 5.48204i) q^{7} +(-1.28408 + 2.52015i) q^{8} +(1.76336 - 2.42705i) q^{9} +O(q^{10})$	\(q+(0.221232 - 1.39680i) q^{2} +(-1.54327 + 0.786335i) q^{3} +(-1.90211 - 0.618034i) q^{4} +(3.55879 + 3.51212i) q^{5} +(0.756934 + 2.32960i) q^{6} +(-5.48204 + 5.48204i) q^{7} +(-1.28408 + 2.52015i) q^{8} +(1.76336 - 2.42705i) q^{9} +(5.69306 - 4.19393i) q^{10} +(-11.2621 + 8.18242i) q^{11} +(3.42145 - 0.541905i) q^{12} +(1.89809 + 11.9840i) q^{13} +(6.44453 + 8.87013i) q^{14} +(-8.25387 - 2.62175i) q^{15} +(3.23607 + 2.35114i) q^{16} +(27.6774 + 14.1023i) q^{17} +(-3.00000 - 3.00000i) q^{18} +(25.8955 - 8.41395i) q^{19} +(-4.59861 - 8.87991i) q^{20} +(4.14955 - 12.7710i) q^{21} +(8.93768 + 17.5412i) q^{22} +(-30.6030 - 4.84704i) q^{23} -4.89898i q^{24} +(0.329991 + 24.9978i) q^{25} +17.1593 q^{26} +(-0.812857 + 5.13218i) q^{27} +(13.8156 - 7.03938i) q^{28} +(-51.9065 - 16.8654i) q^{29} +(-5.48808 + 10.9490i) q^{30} +(-0.628911 - 1.93559i) q^{31} +(4.00000 - 4.00000i) q^{32} +(10.9464 - 21.4835i) q^{33} +(25.8213 - 35.5400i) q^{34} +(-38.7631 + 0.255840i) q^{35} +(-4.85410 + 3.52671i) q^{36} +(30.9652 - 4.90440i) q^{37} +(-6.02372 - 38.0323i) q^{38} +(-12.3527 - 17.0021i) q^{39} +(-13.4208 + 4.45883i) q^{40} +(-30.7098 - 22.3120i) q^{41} +(-16.9205 - 8.62144i) q^{42} +(0.187340 + 0.187340i) q^{43} +(26.4789 - 8.60351i) q^{44} +(14.7995 - 2.44425i) q^{45} +(-13.5407 + 41.6740i) q^{46} +(26.5717 + 52.1499i) q^{47} +(-6.84291 - 1.08381i) q^{48} -11.1056i q^{49} +(34.9900 + 5.06938i) q^{50} -53.8028 q^{51} +(3.79617 - 23.9681i) q^{52} +(-5.62578 + 2.86648i) q^{53} +(6.98881 + 2.27080i) q^{54} +(-68.8173 - 10.4345i) q^{55} +(-6.77618 - 20.8549i) q^{56} +(-33.3475 + 33.3475i) q^{57} +(-35.0410 + 68.7719i) q^{58} +(5.07252 - 6.98172i) q^{59} +(14.0795 + 10.0880i) q^{60} +(87.6266 - 63.6644i) q^{61} +(-2.84277 + 0.450251i) q^{62} +(3.63841 + 22.9720i) q^{63} +(-4.70228 - 6.47214i) q^{64} +(-35.3345 + 49.3150i) q^{65} +(-27.5865 - 20.0428i) q^{66} +(7.98376 + 4.06793i) q^{67} +(-43.9298 - 43.9298i) q^{68} +(51.0401 - 16.5839i) q^{69} +(-8.21826 + 54.2009i) q^{70} +(39.4041 - 121.273i) q^{71} +(3.85224 + 7.56044i) q^{72} +(13.7512 + 2.17798i) q^{73} -44.3372i q^{74} +(-20.1659 - 38.3189i) q^{75} -54.4562 q^{76} +(16.8831 - 106.596i) q^{77} +(-26.4813 + 13.4929i) q^{78} +(40.6892 + 13.2207i) q^{79} +(3.25900 + 19.7327i) q^{80} +(-2.78115 - 8.55951i) q^{81} +(-37.9594 + 37.9594i) q^{82} +(-18.4050 + 36.1218i) q^{83} +(-15.7858 + 21.7273i) q^{84} +(48.9689 + 147.394i) q^{85} +(0.303122 - 0.220231i) q^{86} +(93.3675 - 14.7880i) q^{87} +(-6.15943 - 38.8891i) q^{88} +(79.2350 + 109.058i) q^{89} +(-0.140006 - 21.2127i) q^{90} +(-76.1025 - 55.2917i) q^{91} +(55.2148 + 28.1333i) q^{92} +(2.49260 + 2.49260i) q^{93} +(78.7215 - 25.5782i) q^{94} +(121.707 + 61.0046i) q^{95} +(-3.02774 + 9.31841i) q^{96} +(24.2763 + 47.6449i) q^{97} +(-15.5124 - 2.45692i) q^{98} +41.7623i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 8 q^{2} + 8 q^{7} - 16 q^{8}+O(q^{10}) $ 32 * q + 8 * q^2 + 8 * q^7 - 16 * q^8	$ 32 q + 8 q^{2} + 8 q^{7} - 16 q^{8} + 20 q^{10} + 32 q^{11} - 16 q^{13} - 60 q^{14} + 32 q^{16} + 148 q^{17} - 96 q^{18} + 180 q^{19} + 40 q^{20} - 36 q^{21} + 48 q^{22} + 48 q^{23} - 160 q^{25} - 8 q^{26} - 56 q^{28} - 200 q^{29} - 120 q^{30} + 120 q^{31} + 128 q^{32} - 156 q^{33} - 100 q^{34} - 180 q^{35} - 48 q^{36} + 444 q^{37} + 32 q^{38} - 120 q^{39} - 304 q^{41} - 24 q^{42} + 216 q^{43} + 40 q^{44} + 60 q^{45} - 16 q^{46} + 32 q^{47} + 40 q^{50} + 24 q^{51} - 32 q^{52} - 340 q^{53} + 80 q^{55} + 72 q^{56} - 24 q^{57} - 192 q^{58} - 560 q^{59} + 312 q^{61} + 40 q^{62} + 24 q^{63} - 520 q^{65} - 108 q^{66} + 688 q^{67} - 16 q^{68} + 180 q^{69} + 80 q^{70} + 212 q^{71} + 48 q^{72} - 376 q^{73} + 120 q^{75} - 64 q^{76} - 176 q^{77} - 48 q^{78} + 440 q^{79} + 80 q^{80} + 72 q^{81} - 256 q^{82} - 96 q^{83} - 240 q^{85} + 408 q^{86} + 264 q^{87} + 184 q^{88} - 560 q^{89} - 516 q^{91} + 216 q^{92} + 48 q^{93} + 80 q^{94} + 520 q^{95} - 716 q^{97} - 108 q^{98}+O(q^{100}) $ 32 * q + 8 * q^2 + 8 * q^7 - 16 * q^8 + 20 * q^10 + 32 * q^11 - 16 * q^13 - 60 * q^14 + 32 * q^16 + 148 * q^17 - 96 * q^18 + 180 * q^19 + 40 * q^20 - 36 * q^21 + 48 * q^22 + 48 * q^23 - 160 * q^25 - 8 * q^26 - 56 * q^28 - 200 * q^29 - 120 * q^30 + 120 * q^31 + 128 * q^32 - 156 * q^33 - 100 * q^34 - 180 * q^35 - 48 * q^36 + 444 * q^37 + 32 * q^38 - 120 * q^39 - 304 * q^41 - 24 * q^42 + 216 * q^43 + 40 * q^44 + 60 * q^45 - 16 * q^46 + 32 * q^47 + 40 * q^50 + 24 * q^51 - 32 * q^52 - 340 * q^53 + 80 * q^55 + 72 * q^56 - 24 * q^57 - 192 * q^58 - 560 * q^59 + 312 * q^61 + 40 * q^62 + 24 * q^63 - 520 * q^65 - 108 * q^66 + 688 * q^67 - 16 * q^68 + 180 * q^69 + 80 * q^70 + 212 * q^71 + 48 * q^72 - 376 * q^73 + 120 * q^75 - 64 * q^76 - 176 * q^77 - 48 * q^78 + 440 * q^79 + 80 * q^80 + 72 * q^81 - 256 * q^82 - 96 * q^83 - 240 * q^85 + 408 * q^86 + 264 * q^87 + 184 * q^88 - 560 * q^89 - 516 * q^91 + 216 * q^92 + 48 * q^93 + 80 * q^94 + 520 * q^95 - 716 * q^97 - 108 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/150\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{11}{20}\right)$

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 $

$2$	0.221232	−	1.39680i	0.110616	−	0.698401i
$2$	0.221232	−	1.39680i	0.110616	−	0.698401i
$3$	−1.54327	+	0.786335i	−0.514423	+	0.262112i
$3$	−1.54327	+	0.786335i	−0.514423	+	0.262112i
$4$	−1.90211	−	0.618034i	−0.475528	−	0.154508i
$5$	3.55879	+	3.51212i	0.711758	+	0.702425i
$5$	3.55879	+	3.51212i	0.711758	+	0.702425i
$6$	0.756934	+	2.32960i	0.126156	+	0.388267i
$7$	−5.48204	+	5.48204i	−0.783149	+	0.783149i	−0.980361	−	0.197212i	$-0.936811\pi$
$7$	−5.48204	+	5.48204i	−0.783149	+	0.783149i	0.197212	+	0.980361i	$0.436811\pi$
$8$	−1.28408	+	2.52015i	−0.160510	+	0.315018i
$9$	1.76336	−	2.42705i	0.195928	−	0.269672i
$10$	5.69306	−	4.19393i	0.569306	−	0.419393i
$11$	−11.2621	+	8.18242i	−1.02383	+	0.743857i	−0.967065	−	0.254531i	$-0.918079\pi$
$11$	−11.2621	+	8.18242i	−1.02383	+	0.743857i	−0.0567661	+	0.998388i	$0.518079\pi$
$12$	3.42145	−	0.541905i	0.285121	−	0.0451587i
$13$	1.89809	+	11.9840i	0.146007	+	0.921850i	0.946546	+	0.322569i	$0.104547\pi$
$13$	1.89809	+	11.9840i	0.146007	+	0.921850i	−0.800539	+	0.599280i	$0.795453\pi$
$14$	6.44453	+	8.87013i	0.460324	+	0.633581i
$15$	−8.25387	−	2.62175i	−0.550258	−	0.174783i
$16$	3.23607	+	2.35114i	0.202254	+	0.146946i
$17$	27.6774	+	14.1023i	1.62808	+	0.829549i	0.998620	+	0.0525174i	$0.0167245\pi$
$17$	27.6774	+	14.1023i	1.62808	+	0.829549i	0.629462	+	0.777032i	$0.283276\pi$
$18$	−3.00000	−	3.00000i	−0.166667	−	0.166667i
$19$	25.8955	−	8.41395i	1.36292	−	0.442839i	0.465903	−	0.884836i	$-0.345730\pi$
$19$	25.8955	−	8.41395i	1.36292	−	0.442839i	0.897017	+	0.441997i	$0.145730\pi$
$20$	−4.59861	−	8.87991i	−0.229931	−	0.443995i
$21$	4.14955	−	12.7710i	0.197597	−	0.608142i
$22$	8.93768	+	17.5412i	0.406258	+	0.797327i
$23$	−30.6030	−	4.84704i	−1.33057	−	0.210741i	−0.549659	−	0.835389i	$-0.685243\pi$
$23$	−30.6030	−	4.84704i	−1.33057	−	0.210741i	−0.780907	+	0.624648i	$0.785243\pi$
$24$		−	4.89898i		−	0.204124i
$25$	0.329991	+	24.9978i	0.0131996	+	0.999913i
$26$	17.1593			0.659971
$27$	−0.812857	+	5.13218i	−0.0301058	+	0.190081i
$28$	13.8156	−	7.03938i	0.493413	−	0.251406i
$29$	−51.9065	−	16.8654i	−1.78988	−	0.581567i	−0.790361	−	0.612641i	$-0.790107\pi$
$29$	−51.9065	−	16.8654i	−1.78988	−	0.581567i	−0.999517	+	0.0310745i	$0.990107\pi$
$30$	−5.48808	+	10.9490i	−0.182936	+	0.364967i
$31$	−0.628911	−	1.93559i	−0.0202875	−	0.0624384i	0.940400	−	0.340070i	$-0.110451\pi$
$31$	−0.628911	−	1.93559i	−0.0202875	−	0.0624384i	−0.960688	+	0.277631i	$0.910451\pi$
$32$	4.00000	−	4.00000i	0.125000	−	0.125000i
$33$	10.9464	−	21.4835i	0.331709	−	0.651015i
$34$	25.8213	−	35.5400i	0.759450	−	1.04529i
$35$	−38.7631	+	0.255840i	−1.10752	+	0.00730973i
$36$	−4.85410	+	3.52671i	−0.134836	+	0.0979642i
$37$	30.9652	−	4.90440i	0.836896	−	0.132551i	0.276747	−	0.960943i	$-0.410744\pi$
$37$	30.9652	−	4.90440i	0.836896	−	0.132551i	0.560150	+	0.828392i	$0.310744\pi$
$38$	−6.02372	−	38.0323i	−0.158519	−	1.00085i
$39$	−12.3527	−	17.0021i	−0.316737	−	0.435950i
$40$	−13.4208	+	4.45883i	−0.335521	+	0.111471i
$41$	−30.7098	−	22.3120i	−0.749020	−	0.544195i	0.146503	−	0.989210i	$-0.453198\pi$
$41$	−30.7098	−	22.3120i	−0.749020	−	0.544195i	−0.895523	+	0.445016i	$0.853198\pi$
$42$	−16.9205	−	8.62144i	−0.402870	−	0.205272i
$43$	0.187340	+	0.187340i	0.00435674	+	0.00435674i	0.709282	−	0.704925i	$-0.249019\pi$
$43$	0.187340	+	0.187340i	0.00435674	+	0.00435674i	−0.704925	+	0.709282i	$0.749019\pi$
$44$	26.4789	−	8.60351i	0.601793	−	0.195534i
$45$	14.7995	−	2.44425i	0.328878	−	0.0543166i
$46$	−13.5407	+	41.6740i	−0.294363	+	0.905958i
$47$	26.5717	+	52.1499i	0.565355	+	1.10957i	0.979890	+	0.199538i	$0.0639442\pi$
$47$	26.5717	+	52.1499i	0.565355	+	1.10957i	−0.414535	+	0.910033i	$0.636056\pi$
$48$	−6.84291	−	1.08381i	−0.142561	−	0.0225794i
$49$		−	11.1056i		−	0.226645i
$50$	34.9900	+	5.06938i	0.699800	+	0.101388i
$51$	−53.8028			−1.05496
$52$	3.79617	−	23.9681i	0.0730033	−	0.460925i
$53$	−5.62578	+	2.86648i	−0.106147	+	0.0540844i	−0.506258	−	0.862382i	$-0.668972\pi$
$53$	−5.62578	+	2.86648i	−0.106147	+	0.0540844i	0.400111	+	0.916467i	$0.368972\pi$
$54$	6.98881	+	2.27080i	0.129422	+	0.0420519i
$55$	−68.8173	−	10.4345i	−1.25122	−	0.189718i
$56$	−6.77618	−	20.8549i	−0.121003	−	0.372410i
$57$	−33.3475	+	33.3475i	−0.585044	+	0.585044i
$58$	−35.0410	+	68.7719i	−0.604156	+	1.18572i
$59$	5.07252	−	6.98172i	0.0859749	−	0.118334i	−0.763863	−	0.645378i	$-0.776700\pi$
$59$	5.07252	−	6.98172i	0.0859749	−	0.118334i	0.849838	+	0.527044i	$0.176700\pi$
$60$	14.0795	+	10.0880i	0.234658	+	0.168134i
$61$	87.6266	−	63.6644i	1.43650	−	1.04368i	0.447742	−	0.894163i	$-0.352228\pi$
$61$	87.6266	−	63.6644i	1.43650	−	1.04368i	0.988759	−	0.149517i	$-0.0477717\pi$
$62$	−2.84277	+	0.450251i	−0.0458512	+	0.00726211i
$63$	3.63841	+	22.9720i	0.0577525	+	0.364635i
$64$	−4.70228	−	6.47214i	−0.0734732	−	0.101127i
$65$	−35.3345	+	49.3150i	−0.543608	+	0.758693i
$66$	−27.5865	−	20.0428i	−0.417977	−	0.303678i
$67$	7.98376	+	4.06793i	0.119161	+	0.0607154i	0.512555	−	0.858655i	$-0.328699\pi$
$67$	7.98376	+	4.06793i	0.119161	+	0.0607154i	−0.393394	+	0.919370i	$0.628699\pi$
$68$	−43.9298	−	43.9298i	−0.646026	−	0.646026i
$69$	51.0401	−	16.5839i	0.739711	−	0.240347i
$70$	−8.21826	+	54.2009i	−0.117404	+	0.774299i
$71$	39.4041	−	121.273i	0.554988	−	1.70808i	−0.140987	−	0.990011i	$-0.545028\pi$
$71$	39.4041	−	121.273i	0.554988	−	1.70808i	0.695975	−	0.718066i	$-0.254972\pi$
$72$	3.85224	+	7.56044i	0.0535033	+	0.105006i
$73$	13.7512	+	2.17798i	0.188373	+	0.0298354i	0.249908	−	0.968270i	$-0.419600\pi$
$73$	13.7512	+	2.17798i	0.188373	+	0.0298354i	−0.0615350	+	0.998105i	$0.519600\pi$
$74$		−	44.3372i		−	0.599152i
$75$	−20.1659	−	38.3189i	−0.268879	−	0.510918i
$76$	−54.4562			−0.716529
$77$	16.8831	−	106.596i	0.219262	−	1.38436i
$78$	−26.4813	+	13.4929i	−0.339504	+	0.172986i
$79$	40.6892	+	13.2207i	0.515054	+	0.167351i	0.554999	−	0.831851i	$-0.312718\pi$
$79$	40.6892	+	13.2207i	0.515054	+	0.167351i	−0.0399456	+	0.999202i	$0.512718\pi$
$80$	3.25900	+	19.7327i	0.0407374	+	0.246659i
$81$	−2.78115	−	8.55951i	−0.0343352	−	0.105673i
$82$	−37.9594	+	37.9594i	−0.462920	+	0.462920i
$83$	−18.4050	+	36.1218i	−0.221746	+	0.435202i	−0.974900	−	0.222643i	$-0.928532\pi$
$83$	−18.4050	+	36.1218i	−0.221746	+	0.435202i	0.753154	+	0.657845i	$0.228532\pi$
$84$	−15.7858	+	21.7273i	−0.187926	+	0.258658i
$85$	48.9689	+	147.394i	0.576105	+	1.73404i
$86$	0.303122	−	0.220231i	0.00352467	−	0.00256082i
$87$	93.3675	−	14.7880i	1.07319	−	0.169977i
$88$	−6.15943	−	38.8891i	−0.0699935	−	0.441922i
$89$	79.2350	+	109.058i	0.890281	+	1.22537i	0.973466	+	0.228832i	$0.0734907\pi$
$89$	79.2350	+	109.058i	0.890281	+	1.22537i	−0.0831852	+	0.996534i	$0.526509\pi$
$90$	−0.140006	−	21.2127i	−0.00155563	−	0.235697i
$91$	−76.1025	−	55.2917i	−0.836291	−	0.607601i
$92$	55.2148	+	28.1333i	0.600160	+	0.305797i
$93$	2.49260	+	2.49260i	0.0268022	+	0.0268022i
$94$	78.7215	−	25.5782i	0.837463	−	0.272108i
$95$	121.707	+	61.0046i	1.28113	+	0.642153i
$96$	−3.02774	+	9.31841i	−0.0315389	+	0.0970668i
$97$	24.2763	+	47.6449i	0.250271	+	0.491184i	0.981627	−	0.190812i	$-0.0611121\pi$
$97$	24.2763	+	47.6449i	0.250271	+	0.491184i	−0.731356	+	0.681996i	$0.761112\pi$
$98$	−15.5124	−	2.45692i	−0.158289	−	0.0250706i
$99$			41.7623i			0.421841i
$100$	14.8218	−	47.7526i	0.148218	−	0.477526i
$101$	11.5764			0.114618			0.0573090	−	0.998356i	$-0.481748\pi$
$101$	11.5764			0.114618			0.0573090	+	0.998356i	$0.481748\pi$
$102$	−11.9029	+	75.1519i	−0.116695	+	0.736783i
$103$	−16.3182	+	8.31453i	−0.158429	+	0.0807236i	−0.531407	−	0.847116i	$-0.678337\pi$
$103$	−16.3182	+	8.31453i	−0.158429	+	0.0807236i	0.372978	+	0.927840i	$0.378337\pi$
$104$	−32.6388	−	10.6050i	−0.313835	−	0.101971i
$105$	59.6206	−	30.8756i	0.567816	−	0.294053i
$106$	2.75930	+	8.49225i	0.0260311	+	0.0801156i
$107$	20.3055	−	20.3055i	0.189771	−	0.189771i	−0.605826	−	0.795597i	$-0.707157\pi$
$107$	20.3055	−	20.3055i	0.189771	−	0.189771i	0.795597	+	0.605826i	$0.207157\pi$
$108$	4.71801	−	9.25961i	0.0436853	−	0.0857371i
$109$	63.6297	−	87.5787i	0.583758	−	0.803475i	−0.410343	−	0.911931i	$-0.634591\pi$
$109$	63.6297	−	87.5787i	0.583758	−	0.803475i	0.994101	+	0.108457i	$0.0345909\pi$
$110$	−29.7995	+	93.8157i	−0.270904	+	0.852870i
$111$	−43.9311	+	31.9178i	−0.395775	+	0.287548i
$112$	−30.6293	+	4.85121i	−0.273476	+	0.0433144i
$113$	8.27464	+	52.2440i	0.0732269	+	0.462337i	0.996868	+	0.0790789i	$0.0251979\pi$
$113$	8.27464	+	52.2440i	0.0732269	+	0.462337i	−0.923641	+	0.383258i	$0.874802\pi$
$114$	39.2023	+	53.9574i	0.343880	+	0.473310i
$115$	−91.8864	−	124.731i	−0.799012	−	1.08462i
$116$	88.3086	+	64.1599i	0.761281	+	0.553103i
$117$	32.4329	+	16.5254i	0.277204	+	0.141243i
$118$	−8.62988	−	8.62988i	−0.0731346	−	0.0731346i
$119$	−229.038	+	74.4190i	−1.92469	+	0.625370i
$120$	17.2058	−	17.4344i	0.143382	−	0.145287i
$121$	22.4927	−	69.2253i	0.185890	−	0.572110i
$122$	−69.5408	−	136.482i	−0.570007	−	1.11870i
$123$	64.9381	+	10.2852i	0.527952	+	0.0836194i
$124$			4.07040i			0.0328258i
$125$	−86.6210	+	90.1210i	−0.692968	+	0.720968i
$126$	32.8923			0.261050
$127$	1.24487	−	7.85977i	0.00980209	−	0.0618879i	−0.982302	−	0.187302i	$-0.940026\pi$
$127$	1.24487	−	7.85977i	0.00980209	−	0.0618879i	0.992105	+	0.125414i	$0.0400258\pi$
$128$	−10.0806	+	5.13632i	−0.0787546	+	0.0401275i
$129$	−0.436427	−	0.141804i	−0.00338315	−	0.00109925i
$130$	61.0662	+	60.2654i	0.469740	+	0.463580i
$131$	54.1410	+	166.629i	0.413290	+	1.27198i	0.913771	+	0.406229i	$0.133156\pi$
$131$	54.1410	+	166.629i	0.413290	+	1.27198i	−0.500481	+	0.865747i	$0.666844\pi$
$132$	−34.0988	+	34.0988i	−0.258324	+	0.258324i
$133$	−95.8345	+	188.086i	−0.720560	+	1.41418i
$134$	7.44835	−	10.2518i	0.0555847	−	0.0765058i
$135$	−20.9176	+	15.4095i	−0.154945	+	0.114144i
$136$	−71.0799	+	51.6426i	−0.522646	+	0.379725i
$137$	128.139	−	20.2952i	0.935321	−	0.148140i	0.329873	−	0.944025i	$-0.392994\pi$
$137$	128.139	−	20.2952i	0.935321	−	0.148140i	0.605448	+	0.795885i	$0.292994\pi$
$138$	−11.8728	−	74.9618i	−0.0860346	−	0.543201i
$139$	76.5154	+	105.314i	0.550470	+	0.757657i	0.990076	−	0.140534i	$-0.0448818\pi$
$139$	76.5154	+	105.314i	0.550470	+	0.757657i	−0.439606	+	0.898191i	$0.644882\pi$
$140$	73.8898	+	23.4703i	0.527785	+	0.167645i
$141$	−82.0145	−	59.5870i	−0.581663	−	0.422603i
$142$	−160.678	−	81.8693i	−1.13153	−	0.576545i
$143$	−119.435	−	119.435i	−0.835210	−	0.835210i
$144$	11.4127	−	3.70820i	0.0792547	−	0.0257514i
$145$	−125.491	−	242.322i	−0.865454	−	1.67119i
$146$	6.08442	−	18.7259i	0.0416741	−	0.128260i
$147$	8.73273	+	17.1390i	0.0594064	+	0.116592i
$148$	−61.9303	−	9.80880i	−0.418448	−	0.0662757i
$149$			19.1056i			0.128226i	0.997943	+	0.0641129i	$0.0204218\pi$
$149$			19.1056i			0.128226i	−0.997943	+	0.0641129i	$0.979578\pi$
$150$	−57.9852	+	19.6904i	−0.386568	+	0.131270i
$151$	29.8328			0.197568			0.0987841	−	0.995109i	$-0.468505\pi$
$151$	29.8328			0.197568			0.0987841	+	0.995109i	$0.468505\pi$
$152$	−12.0474	+	76.0646i	−0.0792595	+	0.500425i
$153$	83.0322	−	42.3070i	0.542694	−	0.276516i
$154$	−145.158	−	47.1648i	−0.942587	−	0.306265i
$155$	4.55987	−	9.09718i	0.0294185	−	0.0586915i
$156$	12.9884	+	39.9743i	0.0832591	+	0.256245i
$157$	98.3938	−	98.3938i	0.626712	−	0.626712i	−0.320527	−	0.947239i	$-0.603860\pi$
$157$	98.3938	−	98.3938i	0.626712	−	0.626712i	0.947239	+	0.320527i	$0.103860\pi$
$158$	27.4685	−	53.9100i	0.173851	−	0.341202i
$159$	6.42807	−	8.84748i	0.0404281	−	0.0556446i
$160$	28.2837	−	0.186675i	0.176773	−	0.00116672i
$161$	194.339	−	141.195i	1.20707	−	0.876990i
$162$	−12.5712	+	1.99109i	−0.0776001	+	0.0122907i
$163$	8.21896	+	51.8924i	0.0504230	+	0.318359i	0.999989	+	0.00478977i	$0.00152464\pi$
$163$	8.21896	+	51.8924i	0.0504230	+	0.318359i	−0.949565	+	0.313569i	$0.898475\pi$
$164$	44.6240	+	61.4196i	0.272097	+	0.374510i
$165$	114.409	−	38.0102i	0.693385	−	0.230365i
$166$	46.3832	+	33.6994i	0.279417	+	0.203008i
$167$	1.51815	+	0.773536i	0.00909072	+	0.00463195i	0.458530	−	0.888679i	$-0.348376\pi$
$167$	1.51815	+	0.773536i	0.00909072	+	0.00463195i	−0.449439	+	0.893311i	$0.648376\pi$
$168$	26.8564	+	26.8564i	0.159860	+	0.159860i
$169$	20.7140	−	6.73038i	0.122568	−	0.0398247i
$170$	216.713	−	35.7918i	1.27478	−	0.210540i
$171$	25.2418	−	77.6864i	0.147613	−	0.454306i
$172$	−0.240559	−	0.472123i	−0.00139860	−	0.00274490i
$173$	−231.444	−	36.6571i	−1.33783	−	0.211891i	−0.553816	−	0.832639i	$-0.686829\pi$
$173$	−231.444	−	36.6571i	−1.33783	−	0.211891i	−0.784010	+	0.620748i	$0.786829\pi$
$174$		−	133.687i		−	0.768319i
$175$	−138.848	−	135.230i	−0.793418	−	0.772744i
$176$	−55.6831			−0.316381
$177$	−2.33829	+	14.7634i	−0.0132107	+	0.0834089i
$178$	169.861	−	86.5486i	0.954276	−	0.486228i
$179$	−131.466	−	42.7160i	−0.734449	−	0.238637i	−0.0821728	−	0.996618i	$-0.526186\pi$
$179$	−131.466	−	42.7160i	−0.734449	−	0.238637i	−0.652277	+	0.757981i	$0.726186\pi$
$180$	−29.6610	−	4.49737i	−0.164783	−	0.0249854i
$181$	−39.8514	−	122.650i	−0.220173	−	0.677624i	−0.998746	−	0.0500689i	$-0.984056\pi$
$181$	−39.8514	−	122.650i	−0.220173	−	0.677624i	0.778573	−	0.627555i	$-0.215944\pi$
$182$	−94.0678	+	94.0678i	−0.516856	+	0.516856i
$183$	−85.1698	+	167.155i	−0.465409	+	0.913416i
$184$	51.5120	−	70.9001i	0.279956	−	0.385327i
$185$	127.423	+	91.2997i	0.688775	+	0.493512i
$186$	4.03311	−	2.93023i	0.0216834	−	0.0157539i
$187$	−427.098	+	67.6456i	−2.28395	+	0.361741i
$188$	−18.3120	−	115.617i	−0.0974040	−	0.614985i
$189$	−23.6787	−	32.5910i	−0.125284	−	0.172439i
$190$	112.137	−	156.505i	0.590194	−	0.823710i
$191$	61.7019	+	44.8290i	0.323046	+	0.234707i	0.737474	−	0.675375i	$-0.236018\pi$
$191$	61.7019	+	44.8290i	0.323046	+	0.234707i	−0.414428	+	0.910082i	$0.636018\pi$
$192$	12.3461	+	6.29068i	0.0643029	+	0.0327639i
$193$	−17.3648	−	17.3648i	−0.0899728	−	0.0899728i	0.660688	−	0.750661i	$-0.270265\pi$
$193$	−17.3648	−	17.3648i	−0.0899728	−	0.0899728i	−0.750661	+	0.660688i	$0.770265\pi$
$194$	71.9211	−	23.3686i	0.370728	−	0.120457i
$195$	15.7526	−	103.891i	0.0807824	−	0.532775i
$196$	−6.86365	+	21.1241i	−0.0350186	+	0.107776i
$197$	−67.9180	−	133.297i	−0.344762	−	0.676633i	0.651897	−	0.758307i	$-0.273973\pi$
$197$	−67.9180	−	133.297i	−0.344762	−	0.676633i	−0.996659	+	0.0816744i	$0.973973\pi$
$198$	58.3337	+	9.23915i	0.294615	+	0.0466624i
$199$		−	103.645i		−	0.520827i	−0.965497	−	0.260413i	$-0.916141\pi$
$199$		−	103.645i		−	0.520827i	0.965497	−	0.260413i	$-0.0838589\pi$
$200$	−63.4219	−	31.2676i	−0.317110	−	0.156338i
$201$	−15.5198			−0.0772131
$202$	2.56107	−	16.1700i	0.0126786	−	0.0800494i
$203$	377.011	−	192.097i	1.85720	−	0.946288i
$204$	102.339	+	33.2520i	0.501662	+	0.163000i
$205$	−30.9274	−	187.260i	−0.150865	−	0.913465i
$206$	8.00365	+	24.6327i	0.0388527	+	0.119576i
$207$	−65.7280	+	65.7280i	−0.317527	+	0.317527i
$208$	−22.0338	+	43.2438i	−0.105932	+	0.207903i
$209$	−222.792	+	306.647i	−1.06599	+	1.46721i
$210$	−29.9371	−	90.1089i	−0.142558	−	0.429090i
$211$	−144.613	+	105.068i	−0.685372	+	0.497952i	−0.875135	−	0.483878i	$-0.839228\pi$
$211$	−144.613	+	105.068i	−0.685372	+	0.497952i	0.189764	+	0.981830i	$0.439228\pi$
$212$	12.4724	−	1.97544i	0.0588323	−	0.00931812i
$213$	34.5504	+	218.142i	0.162208	+	1.02414i
$214$	−23.8706	−	32.8551i	−0.111545	−	0.153528i
$215$	0.00874291	+	1.32466i	4.06647e−5	+	0.00616122i
$216$	−11.8901	−	8.63864i	−0.0550466	−	0.0399937i
$217$	14.0587	+	7.16327i	0.0647867	+	0.0330105i
$218$	−108.253	−	108.253i	−0.496575	−	0.496575i
$219$	−22.9345	+	7.45187i	−0.104724	+	0.0340268i
$220$	124.449	+	62.3790i	0.565679	+	0.283541i
$221$	−116.469	+	358.454i	−0.527009	+	1.62197i
$222$	34.8639	+	68.4242i	0.157045	+	0.308217i
$223$	341.154	+	54.0335i	1.52984	+	0.242303i	0.863884	−	0.503690i	$-0.168025\pi$
$223$	341.154	+	54.0335i	1.52984	+	0.242303i	0.665954	+	0.745993i	$0.268025\pi$
$224$			43.8564i			0.195787i
$225$	61.2529	+	43.2791i	0.272235	+	0.192352i
$226$	74.8052			0.330997
$227$	68.2830	−	431.122i	0.300806	−	1.89921i	−0.121211	−	0.992627i	$-0.538678\pi$
$227$	68.2830	−	431.122i	0.300806	−	1.89921i	0.422017	−	0.906588i	$-0.361322\pi$
$228$	84.0406	−	42.8208i	0.368599	−	0.187811i
$229$	−366.890	−	119.210i	−1.60214	−	0.520567i	−0.634504	−	0.772920i	$-0.718796\pi$
$229$	−366.890	−	119.210i	−1.60214	−	0.520567i	−0.967635	+	0.252353i	$0.918796\pi$
$230$	−194.553	+	100.753i	−0.845882	+	0.438055i
$231$	57.7649	+	177.782i	0.250064	+	0.769619i
$232$	109.155	−	109.155i	0.470497	−	0.470497i
$233$	−15.3034	+	30.0346i	−0.0656799	+	0.128904i	−0.921512	−	0.388349i	$-0.873045\pi$
$233$	−15.3034	+	30.0346i	−0.0656799	+	0.128904i	0.855832	+	0.517253i	$0.173045\pi$
$234$	30.2579	−	41.6464i	0.129307	−	0.177976i
$235$	−88.5936	+	278.913i	−0.376994	+	1.18687i
$236$	−13.9634	+	10.1450i	−0.0591671	+	0.0429875i
$237$	−73.1904	+	11.5922i	−0.308820	+	0.0489123i
$238$	53.2782	+	336.385i	0.223858	+	1.41338i
$239$	28.8357	+	39.6890i	0.120652	+	0.166063i	0.865071	−	0.501650i	$-0.167273\pi$
$239$	28.8357	+	39.6890i	0.120652	+	0.166063i	−0.744419	+	0.667713i	$0.767273\pi$
$240$	−20.5460	−	27.8902i	−0.0856083	−	0.116209i
$241$	186.104	+	135.212i	0.772214	+	0.561046i	0.902632	−	0.430413i	$-0.141632\pi$
$241$	186.104	+	135.212i	0.772214	+	0.561046i	−0.130418	+	0.991459i	$0.541632\pi$
$242$	−91.7180	−	46.7326i	−0.379000	−	0.193110i
$243$	11.0227	+	11.0227i	0.0453609	+	0.0453609i
$244$	−206.022	+	66.9407i	−0.844354	+	0.274347i
$245$	39.0043	−	39.5226i	0.159201	−	0.161317i
$246$	28.7328	−	88.4303i	0.116800	−	0.359473i
$247$	149.985	+	294.362i	0.607227	+	1.19175i
$248$	5.68554	+	0.900502i	0.0229256	+	0.00363106i
$249$		−	70.2180i		−	0.282000i
$250$	106.718	+	140.930i	0.426872	+	0.563720i
$251$	38.4802			0.153307			0.0766537	−	0.997058i	$-0.475576\pi$
$251$	38.4802			0.153307			0.0766537	+	0.997058i	$0.475576\pi$
$252$	7.27681	−	45.9440i	0.0288762	−	0.182317i
$253$	384.316	−	195.819i	1.51904	−	0.773987i
$254$	−10.7031	−	3.47766i	−0.0421383	−	0.0136916i
$255$	−191.473	−	188.962i	−0.750874	−	0.741027i
$256$	4.94427	+	15.2169i	0.0193136	+	0.0594410i
$257$	50.8928	−	50.8928i	0.198026	−	0.198026i	−0.601127	−	0.799153i	$-0.705281\pi$
$257$	50.8928	−	50.8928i	0.198026	−	0.198026i	0.799153	+	0.601127i	$0.205281\pi$
$258$	−0.294623	+	0.578231i	−0.00114195	+	0.00224120i
$259$	−142.866	+	196.639i	−0.551607	+	0.759222i
$260$	97.6886	−	71.9648i	0.375726	−	0.276788i
$261$	−132.463	+	96.2399i	−0.507520	+	0.368735i
$262$	244.725	−	38.7607i	0.934066	−	0.147942i
$263$	29.0601	+	183.479i	0.110495	+	0.697637i	0.979290	+	0.202465i	$0.0648951\pi$
$263$	29.0601	+	183.479i	0.110495	+	0.697637i	−0.868795	+	0.495172i	$0.835105\pi$
$264$	40.0855	+	55.1730i	0.151839	+	0.208989i
$265$	−30.0884	−	9.55722i	−0.113541	−	0.0360650i
$266$	241.517	+	175.472i	0.907958	+	0.659670i
$267$	−208.037	−	106.000i	−0.779163	−	0.397004i
$268$	−12.6719	−	12.6719i	−0.0472832	−	0.0472832i
$269$	−78.2531	+	25.4260i	−0.290904	+	0.0945204i	−0.450834	−	0.892608i	$-0.648873\pi$
$269$	−78.2531	+	25.4260i	−0.290904	+	0.0945204i	0.159930	+	0.987128i	$0.448873\pi$
$270$	16.8964	+	32.6269i	0.0625792	+	0.120840i
$271$	−81.0758	+	249.526i	−0.299173	+	0.920759i	0.682615	+	0.730778i	$0.260843\pi$
$271$	−81.0758	+	249.526i	−0.299173	+	0.920759i	−0.981788	+	0.189981i	$0.939157\pi$
$272$	56.4093	+	110.710i	0.207387	+	0.407020i
$273$	160.924	+	25.4879i	0.589466	+	0.0933623i
$274$		−	183.475i		−	0.669616i
$275$	−208.259	−	278.829i	−0.757306	−	1.01392i
$276$	−107.333			−0.388889
$277$	−52.3898	+	330.776i	−0.189133	+	1.19414i	0.692222	+	0.721684i	$0.256632\pi$
$277$	−52.3898	+	330.776i	−0.189133	+	1.19414i	−0.881355	+	0.472454i	$0.843368\pi$
$278$	164.031	−	83.5779i	0.590039	−	0.300640i
$279$	−5.80677	−	1.88673i	−0.0208128	−	0.00676249i
$280$	49.1301	−	98.0171i	0.175465	−	0.350061i
$281$	6.44237	+	19.8276i	0.0229266	+	0.0705607i	0.961865	−	0.273524i	$-0.0881893\pi$
$281$	6.44237	+	19.8276i	0.0229266	+	0.0705607i	−0.938939	+	0.344085i	$0.888189\pi$
$282$	−101.375	+	101.375i	−0.359487	+	0.359487i
$283$	150.039	−	294.468i	0.530173	−	1.04052i	−0.458253	−	0.888822i	$-0.651525\pi$
$283$	150.039	−	294.468i	0.530173	−	1.04052i	0.988426	−	0.151702i	$-0.0484753\pi$
$284$	−149.902	+	206.323i	−0.527825	+	0.726489i
$285$	−235.797	+	1.55629i	−0.827359	+	0.00546066i
$286$	−193.250	+	140.404i	−0.675699	+	0.490924i
$287$	290.668	−	46.0372i	1.01278	−	0.160409i
$288$	−2.65478	−	16.7616i	−0.00921799	−	0.0582001i
$289$	397.292	+	546.826i	1.37471	+	1.89213i
$290$	−366.239	+	121.676i	−1.26289	+	0.419574i
$291$	−74.9296	−	54.4396i	−0.257490	−	0.187077i
$292$	−24.8104	−	12.6415i	−0.0849670	−	0.0432928i
$293$	−340.304	−	340.304i	−1.16145	−	1.16145i	−0.984159	−	0.177286i	$-0.943268\pi$
$293$	−340.304	−	340.304i	−1.16145	−	1.16145i	−0.177286	−	0.984159i	$-0.556732\pi$
$294$	25.8717	−	8.40622i	0.0879989	−	0.0285926i
$295$	42.5727	−	7.03119i	0.144314	−	0.0238345i
$296$	−27.4019	+	84.3344i	−0.0925740	+	0.284914i
$297$	−32.8391	−	64.4505i	−0.110570	−	0.217005i
$298$	26.6868	+	4.22677i	0.0895530	+	0.0141838i
$299$		−	375.948i		−	1.25735i
$300$	14.6755	+	85.3500i	0.0489183	+	0.284500i
$301$	−2.05401			−0.00682395
$302$	6.59996	−	41.6705i	0.0218542	−	0.137982i
$303$	−17.8655	+	9.10295i	−0.0589622	+	0.0300427i
$304$	103.582	+	33.6558i	0.340730	+	0.110710i
$305$	535.442	+	81.1868i	1.75555	+	0.266186i
$306$	−40.7252	−	125.339i	−0.133089	−	0.409605i
$307$	−197.706	+	197.706i	−0.643994	+	0.643994i	−0.951535	−	0.307541i	$-0.900494\pi$
$307$	−197.706	+	197.706i	−0.643994	+	0.643994i	0.307541	+	0.951535i	$0.400494\pi$
$308$	−97.9936	+	192.323i	−0.318161	+	0.624426i
$309$	18.6453	−	25.6631i	0.0603409	−	0.0830521i
$310$	−11.6982	−	8.38181i	−0.0377360	−	0.0270381i
$311$	278.817	−	202.572i	0.896518	−	0.651358i	−0.0410515	−	0.999157i	$-0.513071\pi$
$311$	278.817	−	202.572i	0.896518	−	0.651358i	0.937569	+	0.347799i	$0.113071\pi$
$312$	58.7096	−	9.29869i	0.188172	−	0.0298035i
$313$	−4.78055	−	30.1832i	−0.0152733	−	0.0964319i	0.978874	−	0.204464i	$-0.0655451\pi$
$313$	−4.78055	−	30.1832i	−0.0152733	−	0.0964319i	−0.994147	+	0.108032i	$0.965545\pi$
$314$	−115.669	−	159.205i	−0.368372	−	0.507021i
$315$	−67.7321	+	94.5311i	−0.215023	+	0.300099i
$316$	−69.2247	−	50.2947i	−0.219065	−	0.159160i
$317$	−373.174	−	190.142i	−1.17721	−	0.599817i	−0.247777	−	0.968817i	$-0.579700\pi$
$317$	−373.174	−	190.142i	−1.17721	−	0.599817i	−0.929429	+	0.369000i	$0.879700\pi$
$318$	−10.9361	−	10.9361i	−0.0343902	−	0.0343902i
$319$	722.578	−	234.780i	2.26513	−	0.735987i
$320$	5.99649	−	39.5480i	0.0187390	−	0.123587i
$321$	−15.3700	+	47.3039i	−0.0478815	+	0.147364i
$322$	−154.228	−	302.690i	−0.478969	−	0.940030i
$323$	835.375	+	132.310i	2.58630	+	0.409630i
$324$			18.0000i			0.0555556i
$325$	−298.949	+	51.4026i	−0.919842	+	0.158162i
$326$	74.3018			0.227920
$327$	−29.3315	+	185.192i	−0.0896987	+	0.566335i
$328$	95.6633	−	48.7429i	0.291656	−	0.148606i
$329$	−431.555	−	140.221i	−1.31172	−	0.426203i
$330$	−27.7819	−	168.215i	−0.0841877	−	0.509743i
$331$	47.3536	+	145.739i	0.143062	+	0.440300i	0.996757	−	0.0804739i	$-0.0256434\pi$
$331$	47.3536	+	145.739i	0.143062	+	0.440300i	−0.853694	+	0.520774i	$0.825643\pi$
$332$	57.3328	−	57.3328i	0.172689	−	0.172689i
$333$	42.6994	−	83.8022i	0.128226	−	0.251658i
$334$	1.41634	−	1.94942i	0.00424054	−	0.00583660i
$335$	14.1255	+	42.5169i	0.0421656	+	0.126916i
$336$	43.4546	−	31.5716i	0.129329	−	0.0939632i
$337$	163.674	−	25.9234i	0.485680	−	0.0769241i	0.0912074	−	0.995832i	$-0.470927\pi$
$337$	163.674	−	25.9234i	0.485680	−	0.0769241i	0.394472	+	0.918908i	$0.370927\pi$
$338$	−4.81842	−	30.4223i	−0.0142557	−	0.0900068i
$339$	−53.8513	−	74.1200i	−0.158853	−	0.218643i
$340$	−2.05015	−	310.624i	−0.00602985	−	0.913599i
$341$	22.9207	+	16.6529i	0.0672161	+	0.0488354i
$342$	−102.928	−	52.4446i	−0.300960	−	0.153347i
$343$	−207.739	−	207.739i	−0.605652	−	0.605652i
$344$	−0.712682	+	0.231564i	−0.00207175	+	0.000673153i
$345$	239.886	+	120.240i	0.695321	+	0.348523i
$346$	−102.405	+	315.172i	−0.295970	+	0.910901i
$347$	33.6766	+	66.0940i	0.0970506	+	0.190473i	0.934427	−	0.356153i	$-0.115912\pi$
$347$	33.6766	+	66.0940i	0.0970506	+	0.190473i	−0.837377	+	0.546626i	$0.815912\pi$
$348$	−186.735	−	29.5759i	−0.536595	−	0.0849883i
$349$			665.198i			1.90601i	0.302951	+	0.953006i	$0.402028\pi$
$349$			665.198i			1.90601i	−0.302951	+	0.953006i	$0.597972\pi$
$350$	−219.607	+	164.026i	−0.627450	+	0.468646i
$351$	−63.0471			−0.179621
$352$	−12.3189	+	77.7782i	−0.0349968	+	0.220961i
$353$	−455.232	+	231.952i	−1.28961	+	0.657089i	−0.958119	−	0.286369i	$-0.907552\pi$
$353$	−455.232	+	231.952i	−1.28961	+	0.657089i	−0.331491	+	0.943458i	$0.607552\pi$
$354$	20.1042	+	6.53225i	0.0567915	+	0.0184527i
$355$	566.158	−	293.195i	1.59481	−	0.825901i
$356$	−83.3126	−	256.410i	−0.234024	−	0.720252i
$357$	294.949	−	294.949i	0.826189	−	0.826189i
$358$	−88.7504	+	174.182i	−0.247906	+	0.486543i
$359$	17.0749	−	23.5015i	0.0475623	−	0.0654639i	−0.784573	−	0.620036i	$-0.787118\pi$
$359$	17.0749	−	23.5015i	0.0475623	−	0.0654639i	0.832136	+	0.554572i	$0.187118\pi$
$360$	−12.8439	+	40.4356i	−0.0356775	+	0.112321i
$361$	307.726	−	223.576i	0.852425	−	0.619323i
$362$	−180.134	+	28.5304i	−0.497608	+	0.0788133i
$363$	19.7220	+	124.520i	0.0543307	+	0.343030i
$364$	110.583	+	152.205i	0.303800	+	0.418145i
$365$	41.2885	+	56.0470i	0.113119	+	0.153554i
$366$	214.640	+	155.945i	0.586449	+	0.426080i
$367$	279.478	+	142.401i	0.761521	+	0.388014i	0.791210	−	0.611545i	$-0.209452\pi$
$367$	279.478	+	142.401i	0.761521	+	0.388014i	−0.0296888	+	0.999559i	$0.509452\pi$
$368$	−87.6374	−	87.6374i	−0.238145	−	0.238145i
$369$	−108.305	+	35.1903i	−0.293508	+	0.0953667i
$370$	155.718	−	157.787i	0.420859	−	0.426451i
$371$	15.1266	−	46.5549i	0.0407725	−	0.125485i
$372$	−3.20070	−	6.28172i	−0.00860402	−	0.0168863i
$373$	−483.801	−	76.6265i	−1.29705	−	0.205433i	−0.530539	−	0.847661i	$-0.678010\pi$
$373$	−483.801	−	76.6265i	−1.29705	−	0.205433i	−0.766514	+	0.642228i	$0.778010\pi$
$374$			611.537i			1.63512i
$375$	62.8143	−	207.194i	0.167505	−	0.552517i
$376$	−165.545			−0.440280
$377$	103.593	−	654.061i	0.274783	−	1.73491i
$378$	−50.7616	+	25.8643i	−0.134290	+	0.0684241i
$379$	−528.560	−	171.740i	−1.39462	−	0.453139i	−0.487171	−	0.873307i	$-0.661971\pi$
$379$	−528.560	−	171.740i	−1.39462	−	0.453139i	−0.907446	+	0.420168i	$0.861971\pi$
$380$	−193.798	−	191.257i	−0.509996	−	0.503308i
$381$	4.25925	+	13.1086i	0.0111791	+	0.0344058i
$382$	76.2677	−	76.2677i	0.199654	−	0.199654i
$383$	−106.277	+	208.580i	−0.277485	+	0.544595i	−0.987121	−	0.159973i	$-0.948859\pi$
$383$	−106.277	+	208.580i	−0.277485	+	0.544595i	0.709636	+	0.704568i	$0.248859\pi$
$384$	11.5182	−	15.8534i	0.0299953	−	0.0412850i
$385$	434.462	−	320.057i	1.12847	−	0.831317i
$386$	−28.0968	+	20.4135i	−0.0727895	+	0.0528847i
$387$	0.785029	−	0.124336i	0.00202850	−	0.000321283i
$388$	−16.7301	−	105.629i	−0.0431187	−	0.272241i
$389$	−71.2000	−	97.9985i	−0.183034	−	0.251924i	0.707634	−	0.706579i	$-0.249763\pi$
$389$	−71.2000	−	97.9985i	−0.183034	−	0.251924i	−0.890668	+	0.454655i	$0.849763\pi$
$390$	−141.630	−	44.9872i	−0.363155	−	0.115352i
$391$	−778.657	−	565.727i	−1.99145	−	1.44687i
$392$	27.9878	+	14.2605i	0.0713974	+	0.0363788i
$393$	−214.580	−	214.580i	−0.546006	−	0.546006i
$394$	−201.215	+	65.3786i	−0.510697	+	0.165936i
$395$	98.3717	+	189.955i	0.249042	+	0.480900i
$396$	25.8105	−	79.4366i	0.0651781	−	0.200598i
$397$	−220.371	−	432.502i	−0.555090	−	1.08943i	−0.982655	−	0.185441i	$-0.940629\pi$
$397$	−220.371	−	432.502i	−0.555090	−	1.08943i	0.427566	−	0.903984i	$-0.359371\pi$
$398$	−144.771	−	22.9295i	−0.363746	−	0.0576117i
$399$		−	365.625i		−	0.916353i
$400$	−57.7055	+	81.6705i	−0.144264	+	0.204176i
$401$	−11.6629			−0.0290846			−0.0145423	−	0.999894i	$-0.504629\pi$
$401$	−11.6629			−0.0290846			−0.0145423	+	0.999894i	$0.504629\pi$
$402$	−3.43348	+	21.6781i	−0.00854100	+	0.0539257i
$403$	22.0025	−	11.2108i	0.0545967	−	0.0278184i
$404$	−22.0197	−	7.15463i	−0.0545041	−	0.0177095i
$405$	20.1645	−	40.2293i	0.0497889	−	0.0993315i
$406$	−184.914	−	569.107i	−0.455453	−	1.40174i
$407$	−308.604	+	308.604i	−0.758241	+	0.758241i
$408$	69.0870	−	135.591i	0.169331	−	0.332331i
$409$	314.065	−	432.273i	0.767884	−	1.05690i	−0.228633	−	0.973513i	$-0.573425\pi$
$409$	314.065	−	432.273i	0.767884	−	1.05690i	0.996517	−	0.0833893i	$-0.0265745\pi$
$410$	−268.408	+	1.77152i	−0.654653	+	0.00432078i
$411$	−181.794	+	132.081i	−0.442321	+	0.321365i
$412$	36.1777	−	5.72998i	0.0878099	−	0.0139077i
$413$	10.4663	+	66.0819i	0.0253422	+	0.160005i
$414$	77.2679	+	106.350i	0.186638	+	0.256885i
$415$	−192.363	+	63.9094i	−0.463526	+	0.153998i
$416$	55.5285	+	40.3438i	0.133482	+	0.0969804i
$417$	−200.896	−	102.362i	−0.481765	−	0.245472i
$418$	379.036	+	379.036i	0.906785	+	0.906785i
$419$	659.020	−	214.128i	1.57284	−	0.511047i	0.612640	−	0.790362i	$-0.290108\pi$
$419$	659.020	−	214.128i	1.57284	−	0.511047i	0.960199	+	0.279316i	$0.0901076\pi$
$420$	−132.487	+	21.8812i	−0.315446	+	0.0520982i
$421$	145.679	−	448.353i	0.346030	−	1.06497i	−0.615000	−	0.788527i	$-0.710844\pi$
$421$	145.679	−	448.353i	0.346030	−	1.06497i	0.961030	−	0.276444i	$-0.0891559\pi$
$422$	114.766	+	225.241i	0.271957	+	0.533746i
$423$	173.426	+	27.4679i	0.409990	+	0.0649360i
$424$		−	17.8586i		−	0.0421193i
$425$	−343.394	+	696.528i	−0.807987	+	1.63889i
$426$	312.345			0.733205
$427$	−131.362	+	829.384i	−0.307638	+	1.94235i
$428$	−51.1729	+	26.0739i	−0.119563	+	0.0609204i
$429$	278.236	+	90.4044i	0.648569	+	0.210733i
$430$	1.85223	+	0.280845i	0.00430750	+	0.000653128i
$431$	8.39892	+	25.8492i	0.0194871	+	0.0599750i	0.960327	−	0.278876i	$-0.0899618\pi$
$431$	8.39892	+	25.8492i	0.0194871	+	0.0599750i	−0.940840	+	0.338851i	$0.889962\pi$
$432$	−14.6969	+	14.6969i	−0.0340207	+	0.0340207i
$433$	−256.456	+	503.323i	−0.592277	+	1.16241i	0.379209	+	0.925311i	$0.376196\pi$
$433$	−256.456	+	503.323i	−0.592277	+	1.16241i	−0.971486	+	0.237098i	$0.923804\pi$
$434$	13.1159	−	18.0525i	0.0302210	−	0.0415956i
$435$	384.213	+	275.291i	0.883247	+	0.632852i
$436$	−175.157	+	127.259i	−0.401737	+	0.291879i
$437$	−833.262	+	131.976i	−1.90678	+	0.302004i
$438$	5.33495	+	33.6835i	0.0121802	+	0.0769030i
$439$	−57.0608	−	78.5375i	−0.129979	−	0.178901i	0.739067	−	0.673632i	$-0.235267\pi$
$439$	−57.0608	−	78.5375i	−0.129979	−	0.178901i	−0.869046	+	0.494731i	$0.835267\pi$
$440$	114.663	−	160.031i	0.260598	−	0.363707i
$441$	−26.9539	−	19.5832i	−0.0611200	−	0.0444063i
$442$	474.923	+	241.986i	1.07449	+	0.547479i
$443$	−271.214	−	271.214i	−0.612221	−	0.612221i	0.331303	−	0.943524i	$-0.392512\pi$
$443$	−271.214	−	271.214i	−0.612221	−	0.612221i	−0.943524	+	0.331303i	$0.892512\pi$
$444$	103.288	−	33.5603i	0.232631	−	0.0755864i
$445$	−101.043	+	666.396i	−0.227063	+	1.49752i
$446$	150.948	−	464.571i	0.338449	−	1.04164i
$447$	−15.0234	−	29.4851i	−0.0336095	−	0.0659623i
$448$	61.2587	+	9.70242i	0.136738	+	0.0216572i
$449$		−	690.437i		−	1.53772i	−0.639416	−	0.768861i	$-0.720824\pi$
$449$		−	690.437i		−	1.53772i	0.639416	−	0.768861i	$-0.279176\pi$
$450$	74.0035	−	75.9834i	0.164452	−	0.168852i
$451$	528.424			1.17167
$452$	16.5493	−	104.488i	0.0366135	−	0.231168i
$453$	−46.0400	+	23.4586i	−0.101634	+	0.0517849i
$454$	−587.085	−	190.756i	−1.29314	−	0.420167i
$455$	−76.6416	−	464.053i	−0.168443	−	1.01990i
$456$	−41.2198	−	126.861i	−0.0903942	−	0.278205i
$457$	106.711	−	106.711i	0.233503	−	0.233503i	−0.580650	−	0.814153i	$-0.697202\pi$
$457$	106.711	−	106.711i	0.233503	−	0.233503i	0.814153	+	0.580650i	$0.197202\pi$
$458$	−247.680	+	486.100i	−0.540786	+	1.06135i
$459$	−94.8735	+	130.582i	−0.206696	+	0.284493i
$460$	97.6901	+	294.042i	0.212370	+	0.639221i
$461$	−70.8181	+	51.4524i	−0.153618	+	0.111610i	−0.661939	−	0.749557i	$-0.730266\pi$
$461$	−70.8181	+	51.4524i	−0.153618	+	0.111610i	0.508321	+	0.861168i	$0.330266\pi$
$462$	261.106	−	41.3551i	0.565164	−	0.0895132i
$463$	−89.0229	−	562.069i	−0.192274	−	1.21397i	−0.875301	−	0.483578i	$-0.839337\pi$
$463$	−89.0229	−	562.069i	−0.192274	−	1.21397i	0.683027	−	0.730393i	$-0.260663\pi$
$464$	−128.320	−	176.617i	−0.276551	−	0.380640i
$465$	0.116327	+	17.6250i	0.000250165	+	0.0379031i
$466$	38.5668	+	28.0205i	0.0827615	+	0.0601297i
$467$	807.481	+	411.432i	1.72908	+	0.881011i	0.974369	+	0.224956i	$0.0722239\pi$
$467$	807.481	+	411.432i	1.72908	+	0.881011i	0.754713	+	0.656055i	$0.227776\pi$
$468$	−51.4778	−	51.4778i	−0.109995	−	0.109995i
$469$	−66.0679	+	21.4668i	−0.140870	+	0.0457713i
$470$	369.987	+	185.452i	0.787207	+	0.394579i
$471$	−74.4776	+	229.219i	−0.158127	+	0.486664i
$472$	11.0815	+	21.7486i	0.0234777	+	0.0460775i
$473$	−3.64274	−	0.576953i	−0.00770135	−	0.00121977i
$474$			104.797i			0.221091i
$475$	218.876	+	644.554i	0.460791	+	1.35696i
$476$	481.650			1.01187
$477$	−2.96316	+	18.7087i	−0.00621208	+	0.0392215i
$478$	61.8170	−	31.4974i	0.129324	−	0.0658940i
$479$	856.445	+	278.276i	1.78799	+	0.580952i	0.999422	−	0.0340018i	$-0.0108252\pi$
$479$	856.445	+	278.276i	1.78799	+	0.580952i	0.788563	+	0.614953i	$0.210825\pi$
$480$	−43.5025	+	22.5285i	−0.0906302	+	0.0469344i
$481$	117.549	+	361.779i	0.244385	+	0.752139i
$482$	230.037	−	230.037i	0.477254	−	0.477254i
$483$	−188.890	+	370.718i	−0.391077	+	0.767532i
$484$	−85.5672	+	117.773i	−0.176792	+	0.243333i
$485$	−80.9404	+	254.819i	−0.166887	+	0.525401i
$486$	17.8351	−	12.9580i	0.0366978	−	0.0266625i
$487$	209.791	−	33.2277i	0.430783	−	0.0682294i	0.0627223	−	0.998031i	$-0.480022\pi$
$487$	209.791	−	33.2277i	0.430783	−	0.0682294i	0.368061	+	0.929802i	$0.380022\pi$
$488$	47.9243	+	302.582i	0.0982055	+	0.620045i
$489$	−53.4889	−	73.6211i	−0.109384	−	0.150554i
$490$	−46.5763	−	63.2249i	−0.0950536	−	0.129031i
$491$	410.190	+	298.021i	0.835418	+	0.606967i	0.921087	−	0.389357i	$-0.127303\pi$
$491$	410.190	+	298.021i	0.835418	+	0.606967i	−0.0856691	+	0.996324i	$0.527303\pi$
$492$	−117.163	−	59.6976i	−0.238136	−	0.121337i
$493$	−1198.79	−	1198.79i	−2.43163	−	2.43163i
$494$	444.347	−	144.377i	0.899488	−	0.292261i
$495$	−146.674	+	148.623i	−0.296312	+	0.300249i
$496$	2.51565	−	7.74236i	0.00507187	−	0.0156096i
$497$	448.811	+	880.842i	0.903041	+	1.77232i
$498$	−98.0807	−	15.5345i	−0.196949	−	0.0311937i
$499$		−	50.5100i		−	0.101222i	−0.998718	−	0.0506112i	$-0.983883\pi$
$499$		−	50.5100i		−	0.101222i	0.998718	−	0.0506112i	$-0.0161169\pi$
$500$	220.461	−	117.886i	0.440922	−	0.235771i
$501$	−2.95117			−0.00589056
$502$	8.51304	−	53.7492i	0.0169582	−	0.107070i
$503$	−240.811	+	122.699i	−0.478749	+	0.243935i	−0.676675	−	0.736282i	$-0.736580\pi$
$503$	−240.811	+	122.699i	−0.478749	+	0.243935i	0.197926	+	0.980217i	$0.436580\pi$
$504$	−62.5648	−	20.3285i	−0.124137	−	0.0403344i
$505$	41.1981	+	40.6578i	0.0815804	+	0.0805106i
$506$	−188.497	−	580.135i	−0.372524	−	1.14651i
$507$	−26.6749	+	26.6749i	−0.0526132	+	0.0526132i
$508$	−7.22548	+	14.1808i	−0.0142234	+	0.0279150i
$509$	−488.441	+	672.282i	−0.959610	+	1.32079i	−0.0124854	+	0.999922i	$0.503974\pi$
$509$	−488.441	+	672.282i	−0.959610	+	1.32079i	−0.947124	+	0.320867i	$0.896026\pi$
$510$	−306.302	+	225.645i	−0.600593	+	0.442442i
$511$	−87.3247	+	63.4451i	−0.170890	+	0.124159i
$512$	22.3488	−	3.53971i	0.0436501	−	0.00691349i
$513$	22.1326	+	139.740i	0.0431434	+	0.272397i
$514$	−59.8281	−	82.3463i	−0.116397	−	0.160207i
$515$	−87.2746	−	27.7218i	−0.169465	−	0.0538287i
$516$	0.742494	+	0.539453i	0.00143894	+	0.00104545i
$517$	−725.966	−	369.898i	−1.40419	−	0.715470i
$518$	243.059	+	243.059i	0.469225	+	0.469225i
$519$	386.005	−	125.421i	0.743747	−	0.241658i
$520$	−78.9088	−	152.373i	−0.151748	−	0.293024i
$521$	32.4500	−	99.8708i	0.0622841	−	0.191691i	−0.915073	−	0.403289i	$-0.867867\pi$
$521$	32.4500	−	99.8708i	0.0622841	−	0.191691i	0.977357	+	0.211598i	$0.0678669\pi$
$522$	105.123	+	206.316i	0.201385	+	0.395241i
$523$	269.858	+	42.7413i	0.515981	+	0.0817234i	0.408994	−	0.912537i	$-0.365880\pi$
$523$	269.858	+	42.7413i	0.515981	+	0.0817234i	0.106987	+	0.994260i	$0.465880\pi$
$524$		−	350.408i		−	0.668718i
$525$	320.616	+	99.5153i	0.610698	+	0.189553i
$526$	262.712			0.499453
$527$	9.88971	−	62.4412i	0.0187661	−	0.118484i
$528$	85.9339	−	43.7855i	0.162754	−	0.0829271i
$529$	409.942	+	133.198i	0.774938	+	0.251793i
$530$	−20.0061	+	39.9131i	−0.0377473	+	0.0753078i
$531$	−8.00034	−	24.6225i	−0.0150666	−	0.0463701i
$532$	298.531	−	298.531i	0.561149	−	0.561149i
$533$	209.098	−	410.378i	0.392304	−	0.769939i
$534$	−194.085	+	267.135i	−0.363456	+	0.500254i
$535$	143.579	−	0.947635i	0.268371	−	0.00177128i
$536$	−20.5036	+	14.8967i	−0.0382529	+	0.0277924i
$537$	236.477	−	37.4543i	0.440367	−	0.0697473i
$538$	18.2030	+	114.929i	0.0338346	+	0.213623i
$539$	90.8709	+	125.073i	0.168592	+	0.232046i
$540$	49.3113	−	16.3828i	0.0913172	−	0.0303385i
$541$	76.3499	+	55.4714i	0.141127	+	0.102535i	0.656109	−	0.754666i	$-0.272201\pi$
$541$	76.3499	+	55.4714i	0.141127	+	0.102535i	−0.514982	+	0.857201i	$0.672201\pi$
$542$	330.602	+	168.450i	0.609966	+	0.310793i
$543$	157.945	+	157.945i	0.290875	+	0.290875i
$544$	167.119	−	54.3002i	0.307204	−	0.0998166i
$545$	534.032	−	88.1992i	0.979875	−	0.161833i
$546$	71.2031	−	219.141i	0.130409	−	0.401357i
$547$	−202.500	−	397.429i	−0.370202	−	0.726562i	0.628483	−	0.777823i	$-0.283676\pi$
$547$	−202.500	−	397.429i	−0.370202	−	0.726562i	−0.998685	+	0.0512609i	$0.983676\pi$
$548$	−256.278	−	40.5904i	−0.467661	−	0.0740702i
$549$		−	324.937i		−	0.591871i
$550$	−435.542	+	229.211i	−0.791895	+	0.416747i
$551$	−1486.05			−2.69700
$552$	−23.7456	+	149.924i	−0.0430173	+	0.271601i
$553$	−295.537	+	150.584i	−0.534425	+	0.272303i
$554$	450.439	+	146.356i	0.813066	+	0.264181i
$555$	−268.441	−	40.7025i	−0.483677	−	0.0733379i
$556$	−80.4530	−	247.609i	−0.144700	−	0.445340i
$557$	−186.224	+	186.224i	−0.334334	+	0.334334i	−0.854230	−	0.519896i	$-0.825971\pi$
$557$	−186.224	+	186.224i	−0.334334	+	0.334334i	0.519896	+	0.854230i	$0.325971\pi$
$558$	−3.92004	+	7.69350i	−0.00702515	+	0.0137876i
$559$	−1.88950	+	2.60067i	−0.00338014	+	0.00465237i
$560$	−126.041	−	90.3095i	−0.225074	−	0.161267i
$561$	605.934	−	440.237i	1.08010	−	0.784737i
$562$	29.1204	−	4.61223i	0.0518157	−	0.00820681i
$563$	108.733	+	686.514i	0.193132	+	1.21939i	0.873613	+	0.486621i	$0.161771\pi$
$563$	108.733	+	686.514i	0.193132	+	1.21939i	−0.680482	+	0.732765i	$0.738229\pi$
$564$	119.174	+	164.029i	0.211301	+	0.290831i
$565$	−154.040	+	214.987i	−0.272637	+	0.380508i
$566$	−378.120	−	274.721i	−0.668057	−	0.485372i
$567$	62.1700	+	31.6772i	0.109647	+	0.0558681i
$568$	255.029	+	255.029i	0.448995	+	0.448995i
$569$	−78.2446	+	25.4232i	−0.137513	+	0.0446805i	−0.376965	−	0.926228i	$-0.623032\pi$
$569$	−78.2446	+	25.4232i	−0.137513	+	0.0446805i	0.239452	+	0.970908i	$0.423032\pi$
$570$	−49.9920	+	329.706i	−0.0877053	+	0.578432i
$571$	54.5276	−	167.819i	0.0954950	−	0.293903i	−0.891887	−	0.452258i	$-0.850619\pi$
$571$	54.5276	−	167.819i	0.0954950	−	0.293903i	0.987382	+	0.158354i	$0.0506188\pi$
$572$	153.364	+	300.994i	0.268119	+	0.526213i
$573$	−130.473	−	20.6649i	−0.227702	−	0.0360644i
$574$		−	416.190i		−	0.725070i
$575$	111.067	−	766.608i	0.193160	−	1.33323i
$576$	−24.0000			−0.0416667
$577$	−74.1018	+	467.860i	−0.128426	+	0.810849i	0.836431	+	0.548073i	$0.184638\pi$
$577$	−74.1018	+	467.860i	−0.128426	+	0.810849i	−0.964857	+	0.262777i	$0.915362\pi$
$578$	851.701	−	433.963i	1.47353	−	0.750801i
$579$	40.4530	+	13.1440i	0.0698670	+	0.0227012i
$580$	88.9342	+	538.482i	0.153335	+	0.928418i
$581$	−97.1243	−	298.918i	−0.167168	−	0.514489i
$582$	−92.6181	+	92.6181i	−0.159138	+	0.159138i
$583$	39.9035	−	78.3151i	0.0684452	−	0.134331i
$584$	−23.1465	+	31.8585i	−0.0396345	+	0.0545521i
$585$	57.3827	+	172.719i	0.0980901	+	0.295246i
$586$	−550.623	+	400.051i	−0.939629	+	0.682681i
$587$	−313.927	+	49.7211i	−0.534798	+	0.0847037i	−0.417991	−	0.908451i	$-0.637266\pi$
$587$	−313.927	+	49.7211i	−0.534798	+	0.0847037i	−0.116807	+	0.993155i	$0.537266\pi$
$588$	−6.01819	−	37.9974i	−0.0102350	−	0.0646214i
$589$	−32.5719	−	44.8314i	−0.0553004	−	0.0761144i
$590$	−0.402746	−	61.0212i	−0.000682621	−	0.103426i
$591$	209.632	+	152.306i	0.354706	+	0.257709i
$592$	111.736	+	56.9325i	0.188744	+	0.0961698i
$593$	351.897	+	351.897i	0.593418	+	0.593418i	0.938553	−	0.345135i	$-0.112167\pi$
$593$	351.897	+	351.897i	0.593418	+	0.593418i	−0.345135	+	0.938553i	$0.612167\pi$
$594$	−97.2896	+	31.6113i	−0.163787	+	0.0532177i
$595$	−1076.47	−	539.569i	−1.80919	−	0.906838i
$596$	11.8079	−	36.3411i	0.0198120	−	0.0609750i
$597$	81.4993	+	159.951i	0.136515	+	0.267925i
$598$	−525.125	−	83.1716i	−0.878136	−	0.139083i
$599$		−	910.481i		−	1.52000i	−0.649922	−	0.760001i	$-0.725198\pi$
$599$		−	910.481i		−	1.52000i	0.649922	−	0.760001i	$-0.274802\pi$
$600$	122.464	−	1.61662i	0.204106	−	0.00269437i
$601$	−58.8854			−0.0979790			−0.0489895	−	0.998799i	$-0.515600\pi$
$601$	−58.8854			−0.0979790			−0.0489895	+	0.998799i	$0.515600\pi$
$602$	−0.454412	+	2.86904i	−0.000754837	+	0.00476585i
$603$	23.9513	−	12.2038i	0.0397202	−	0.0202385i
$604$	−56.7454	−	18.4377i	−0.0939493	−	0.0305260i
$605$	323.174	−	167.361i	0.534173	−	0.276630i
$606$	8.76259	+	26.9685i	0.0144597	+	0.0445024i
$607$	124.840	−	124.840i	0.205668	−	0.205668i	−0.596756	−	0.802423i	$-0.703544\pi$
$607$	124.840	−	124.840i	0.205668	−	0.205668i	0.802423	+	0.596756i	$0.203544\pi$
$608$	69.9261	−	137.238i	0.115010	−	0.225720i
$609$	−430.777	+	592.913i	−0.707351	+	0.973585i
$610$	231.859	−	729.945i	0.380096	−	1.19663i
$611$	−574.531	+	417.421i	−0.940312	+	0.683177i
$612$	−184.084	+	29.1560i	−0.300790	+	0.0476405i
$613$	121.977	+	770.135i	0.198984	+	1.25634i	0.861681	+	0.507450i	$0.169412\pi$
$613$	121.977	+	770.135i	0.198984	+	1.25634i	−0.662697	+	0.748888i	$0.730588\pi$
$614$	232.417	+	319.895i	0.378530	+	0.521002i
$615$	194.978	+	264.674i	0.317038	+	0.430364i
$616$	246.958	+	179.426i	0.400906	+	0.291275i
$617$	164.536	+	83.8350i	0.266670	+	0.135875i	0.582214	−	0.813036i	$-0.302187\pi$
$617$	164.536	+	83.8350i	0.266670	+	0.135875i	−0.315543	+	0.948911i	$0.602187\pi$
$618$	−31.7213	−	31.7213i	−0.0513290	−	0.0513290i
$619$	444.918	−	144.563i	0.718770	−	0.233542i	0.0732800	−	0.997311i	$-0.476653\pi$
$619$	444.918	−	144.563i	0.718770	−	0.233542i	0.645490	+	0.763769i	$0.276653\pi$
$620$	−14.2957	+	14.4857i	−0.0230576	+	0.0233640i
$621$	49.7518	−	153.120i	0.0801156	−	0.246570i
$622$	−221.270	−	434.268i	−0.355740	−	0.698179i
$623$	−1032.23	−	163.489i	−1.65687	−	0.262422i
$624$		−	84.0628i		−	0.134716i
$625$	−624.782	+	16.4981i	−0.999652	+	0.0263970i
$626$	−43.2176			−0.0690376
$627$	102.701	−	648.427i	0.163797	−	1.03417i
$628$	−247.967	+	126.345i	−0.394852	+	0.201187i
$629$	926.198	+	300.940i	1.47249	+	0.478442i
$630$	117.057	+	115.522i	0.185804	+	0.183368i
$631$	58.7960	+	180.956i	0.0931792	+	0.286776i	0.986775	−	0.162097i	$-0.0518257\pi$
$631$	58.7960	+	180.956i	0.0931792	+	0.286776i	−0.893596	+	0.448873i	$0.851826\pi$
$632$	−85.5664	+	85.5664i	−0.135390	+	0.135390i
$633$	140.559	−	275.862i	0.222052	−	0.435801i
$634$	−348.149	+	479.185i	−0.549130	+	0.755813i
$635$	32.0347	−	23.5992i	0.0504483	−	0.0371640i
$636$	−17.6950	+	12.8561i	−0.0278223	+	0.0202141i
$637$	133.090	−	21.0794i	0.208933	−	0.0330917i
$638$	−168.084	−	1061.24i	−0.263454	−	1.66338i
$639$	−224.853	−	309.484i	−0.351883	−	0.484326i
$640$	−53.9141	−	17.1252i	−0.0842408	−	0.0267581i
$641$	−694.832	−	504.825i	−1.08398	−	0.787558i	−0.105608	−	0.994408i	$-0.533679\pi$
$641$	−694.832	−	504.825i	−1.08398	−	0.787558i	−0.978373	+	0.206849i	$0.933679\pi$
$642$	62.6738	+	31.9339i	0.0976228	+	0.0497413i
$643$	−600.234	−	600.234i	−0.933490	−	0.933490i	0.0644322	−	0.997922i	$-0.479476\pi$
$643$	−600.234	−	600.234i	−0.933490	−	0.933490i	−0.997922	+	0.0644322i	$0.979476\pi$
$644$	−456.918	+	148.462i	−0.709500	+	0.230530i
$645$	−1.05512	−	2.03743i	−0.00163585	−	0.00315881i
$646$	369.623	−	1137.58i	0.572172	−	1.76096i
$647$	−379.917	−	745.629i	−0.587198	−	1.15244i	−0.973204	−	0.229944i	$-0.926146\pi$
$647$	−379.917	−	745.629i	−0.587198	−	1.15244i	0.386006	−	0.922496i	$-0.373854\pi$
$648$	25.1424	+	3.98217i	0.0388001	+	0.00614533i
$649$			120.135i			0.185107i
$650$	5.66240	+	428.944i	0.00871139	+	0.659914i
$651$	−27.3291			−0.0419802
$652$	16.4379	−	103.785i	0.0252115	−	0.159179i
$653$	406.909	−	207.330i	0.623137	−	0.317504i	−0.113761	−	0.993508i	$-0.536290\pi$
$653$	406.909	−	207.330i	0.623137	−	0.317504i	0.736898	+	0.676004i	$0.236290\pi$
$654$	252.187	+	81.9406i	0.385607	+	0.125291i
$655$	−392.545	+	783.147i	−0.599305	+	1.19564i
$656$	−46.9204	−	144.406i	−0.0715250	−	0.220131i
$657$	29.5344	−	29.5344i	0.0449534	−	0.0449534i
$658$	−291.334	+	571.776i	−0.442757	+	0.868960i
$659$	477.397	−	657.080i	0.724426	−	0.997087i	−0.274939	−	0.961462i	$-0.588658\pi$
$659$	477.397	−	657.080i	0.724426	−	0.997087i	0.999365	−	0.0356250i	$-0.0113422\pi$
$660$	−241.110	+	1.59135i	−0.365317	+	0.00241113i
$661$	451.645	−	328.140i	0.683276	−	0.496429i	−0.191167	−	0.981558i	$-0.561227\pi$
$661$	451.645	−	328.140i	0.683276	−	0.496429i	0.874443	+	0.485128i	$0.161227\pi$
$662$	214.045	−	33.9014i	0.323331	−	0.0512106i
$663$	−102.122	−	644.775i	−0.154031	−	0.972511i
$664$	−67.3987	−	92.7664i	−0.101504	−	0.139708i
$665$	−1001.64	+	332.775i	−1.50622	+	0.500414i
$666$	−107.609	−	78.1823i	−0.161575	−	0.117391i
$667$	1506.75	+	767.726i	2.25899	+	1.15101i
$668$	−2.40962	−	2.40962i	−0.00360722	−	0.00360722i
$669$	−568.980	+	184.873i	−0.850494	+	0.276342i
$670$	62.5126	−	10.3244i	0.0933024	−	0.0154096i
$671$	−465.933	+	1434.00i	−0.694386	+	2.13710i
$672$	−34.4858	−	67.6821i	−0.0513181	−	0.100717i
$673$	306.054	+	48.4741i	0.454760	+	0.0720269i	0.379613	−	0.925145i	$-0.376057\pi$
$673$	306.054	+	48.4741i	0.454760	+	0.0720269i	0.0751475	+	0.997172i	$0.476057\pi$
$674$		−	234.355i		−	0.347708i
$675$	−128.562	−	18.6261i	−0.190462	−	0.0275942i
$676$	−43.5599			−0.0644377
$677$	−90.7371	+	572.891i	−0.134028	+	0.846220i	0.825458	+	0.564464i	$0.190917\pi$
$677$	−90.7371	+	572.891i	−0.134028	+	0.846220i	−0.959486	+	0.281757i	$0.909083\pi$
$678$	−115.445	+	58.8219i	−0.170272	+	0.0867580i
$679$	−394.275	−	128.108i	−0.580670	−	0.188671i
$680$	−434.334	−	65.8562i	−0.638726	−	0.0968473i
$681$	233.627	+	719.030i	0.343065	+	1.05584i
$682$	28.3315	−	28.3315i	0.0415419	−	0.0415419i
$683$	87.5006	−	171.730i	0.128112	−	0.251434i	−0.818037	−	0.575166i	$-0.804938\pi$
$683$	87.5006	−	171.730i	0.128112	−	0.251434i	0.946149	+	0.323732i	$0.104938\pi$
$684$	−96.0257	+	132.168i	−0.140388	+	0.193228i
$685$	527.299	+	377.813i	0.769780	+	0.551552i
$686$	−336.128	+	244.211i	−0.489983	+	0.355993i
$687$	659.948	−	104.526i	0.960624	−	0.152148i
$688$	0.165782	+	1.04671i	0.000240962	+	0.00152137i
$689$	−45.0302	−	61.9787i	−0.0653558	−	0.0899546i
$690$	221.022	−	308.472i	0.320322	−	0.447061i
$691$	−480.763	−	349.295i	−0.695750	−	0.505492i	0.182795	−	0.983151i	$-0.441485\pi$
$691$	−480.763	−	349.295i	−0.695750	−	0.505492i	−0.878545	+	0.477659i	$0.841485\pi$
$692$	417.577	+	212.766i	0.603435	+	0.307466i
$693$	−228.943	−	228.943i	−0.330365	−	0.330365i
$694$	99.7705	−	32.4174i	0.143762	−	0.0467110i
$695$	−97.5747	+	643.523i	−0.140395	+	0.925932i
$696$	−82.6234	+	254.289i	−0.118712	+	0.365357i
$697$	−535.316	−	1050.62i	−0.768029	−	1.50734i
$698$	929.151	+	147.163i	1.33116	+	0.210835i
$699$		−	58.3851i		−	0.0835266i
$700$	180.528	+	343.036i	0.257897	+	0.490051i
$701$	69.5400			0.0992012			0.0496006	−	0.998769i	$-0.484205\pi$
$701$	69.5400			0.0992012			0.0496006	+	0.998769i	$0.484205\pi$
$702$	−13.9480	+	88.0644i	−0.0198690	+	0.125448i
$703$	760.592	−	387.541i	1.08192	−	0.551267i
$704$	105.916	+	34.4140i	0.150448	+	0.0488836i
$705$	−82.5955	−	500.103i	−0.117157	−	0.709365i
$706$	223.280	+	687.185i	0.316260	+	0.973350i
$707$	−63.4625	+	63.4625i	−0.0897631	+	0.0897631i
$708$	13.5720	−	26.6365i	0.0191694	−	0.0376221i
$709$	619.381	−	852.505i	0.873598	−	1.20241i	−0.104555	−	0.994519i	$-0.533342\pi$
$709$	619.381	−	852.505i	0.873598	−	1.20241i	0.978153	−	0.207886i	$-0.0666583\pi$
$710$	−284.283	−	855.675i	−0.400399	−	1.20518i
$711$	103.837	−	75.4420i	0.146044	−	0.106107i
$712$	−376.585	+	59.6452i	−0.528912	+	0.0837714i
$713$	9.86470	+	62.2833i	0.0138355	+	0.0873538i
$714$	−346.734	−	477.238i	−0.485621	−	0.668401i
$715$	−5.57389	−	844.515i	−0.00779565	−	1.18114i
$716$	223.664	+	162.501i	0.312380	+	0.226957i
$717$	−75.7101	−	38.5762i	−0.105593	−	0.0538023i
$718$	−29.0495	−	29.0495i	−0.0404589	−	0.0404589i
$719$	450.271	−	146.302i	0.626246	−	0.203480i	0.0213345	−	0.999772i	$-0.493209\pi$
$719$	450.271	−	146.302i	0.626246	−	0.203480i	0.604911	+	0.796293i	$0.293209\pi$
$720$	53.6390	+	26.8860i	0.0744986	+	0.0373417i
$721$	43.8764	−	135.038i	0.0608549	−	0.187292i
$722$	−244.212	−	479.294i	−0.338244	−	0.663842i
$723$	−393.530	−	62.3290i	−0.544301	−	0.0862088i
$724$			257.923i			0.356248i
$725$	404.470	−	1303.11i	0.557890	−	1.79740i
$726$	178.293			0.245583
$727$	−58.5127	+	369.435i	−0.0804852	+	0.508163i	0.914205	+	0.405251i	$0.132816\pi$
$727$	−58.5127	+	369.435i	−0.0804852	+	0.508163i	−0.994690	+	0.102912i	$0.967184\pi$
$728$	237.065	−	120.791i	0.325638	−	0.165921i
$729$	−25.6785	−	8.34346i	−0.0352243	−	0.0114451i
$730$	87.4209	−	45.2724i	0.119755	−	0.0620170i
$731$	2.54315	+	7.82700i	0.00347899	+	0.0107072i
$732$	265.310	−	265.310i	0.362446	−	0.362446i
$733$	513.871	−	1008.53i	0.701052	−	1.37589i	−0.215709	−	0.976458i	$-0.569206\pi$
$733$	513.871	−	1008.53i	0.701052	−	1.37589i	0.916762	−	0.399435i	$-0.130794\pi$
$734$	260.736	−	358.872i	0.355226	−	0.488927i
$735$	−29.1161	+	91.6644i	−0.0396138	+	0.124713i
$736$	−141.800	+	103.024i	−0.192663	+	0.139978i
$737$	−123.200	+	19.5129i	−0.167164	+	0.0264761i
$738$	25.1935	+	159.065i	0.0341375	+	0.215536i
$739$	−375.175	−	516.385i	−0.507680	−	0.698761i	0.475846	−	0.879529i	$-0.342142\pi$
$739$	−375.175	−	516.385i	−0.507680	−	0.698761i	−0.983526	+	0.180767i	$0.942142\pi$
$740$	−185.947	−	252.414i	−0.251280	−	0.341101i
$741$	−462.934	−	336.341i	−0.624742	−	0.453902i
$742$	−61.6815	−	31.4283i	−0.0831287	−	0.0423562i
$743$	740.645	+	740.645i	0.996830	+	0.996830i	0.999995	−	0.00316478i	$-0.00100738\pi$
$743$	740.645	+	740.645i	0.996830	+	0.996830i	−0.00316478	+	0.999995i	$0.501007\pi$
$744$	−9.48242	+	3.08102i	−0.0127452	+	0.00414116i
$745$	−67.1013	+	67.9930i	−0.0900689	+	0.0912657i
$746$	−214.064	+	658.822i	−0.286949	+	0.883139i
$747$	55.2149	+	108.365i	0.0739155	+	0.145067i
$748$	854.196	+	135.291i	1.14197	+	0.180871i
$749$			222.632i			0.297239i
$750$	−275.513	−	133.577i	−0.367350	−	0.178103i
$751$	365.498			0.486682			0.243341	−	0.969941i	$-0.421757\pi$
$751$	365.498			0.486682			0.243341	+	0.969941i	$0.421757\pi$
$752$	−36.6239	+	231.234i	−0.0487020	+	0.307492i
$753$	−59.3853	+	30.2583i	−0.0788649	+	0.0401837i
$754$	−890.676	−	289.398i	−1.18127	−	0.383817i
$755$	106.169	+	104.776i	0.140621	+	0.138777i
$756$	24.8973	+	76.6259i	0.0329329	+	0.101357i
$757$	662.539	−	662.539i	0.875217	−	0.875217i	−0.117818	−	0.993035i	$-0.537590\pi$
$757$	662.539	−	662.539i	0.875217	−	0.875217i	0.993035	+	0.117818i	$0.0375899\pi$
$758$	−356.820	+	700.300i	−0.470739	+	0.923878i
$759$	−439.124	+	604.402i	−0.578556	+	0.796313i
$760$	−310.022	+	228.386i	−0.407924	+	0.300508i
$761$	869.717	−	631.886i	1.14286	−	0.830337i	0.155345	−	0.987860i	$-0.450351\pi$
$761$	869.717	−	631.886i	1.14286	−	0.830337i	0.987515	+	0.157524i	$0.0503511\pi$
$762$	19.2524	−	3.04928i	0.0252656	−	0.00400169i
$763$	131.290	+	828.931i	0.172070	+	1.08641i
$764$	−89.6581	−	123.404i	−0.117353	−	0.161523i
$765$	444.081	+	141.057i	0.580499	+	0.184389i
$766$	267.833	+	194.592i	0.349652	+	0.254037i
$767$	93.2974	+	47.5374i	0.121639	+	0.0619783i
$768$	−19.5959	−	19.5959i	−0.0255155	−	0.0255155i
$769$	−213.450	+	69.3540i	−0.277568	+	0.0901873i	−0.444493	−	0.895782i	$-0.646616\pi$
$769$	−213.450	+	69.3540i	−0.277568	+	0.0901873i	0.166925	+	0.985970i	$0.446616\pi$
$770$	−350.940	−	677.664i	−0.455766	−	0.880083i
$771$	−38.5225	+	118.560i	−0.0499643	+	0.153774i
$772$	22.2977	+	43.7617i	0.0288830	+	0.0566862i
$773$	528.855	+	83.7624i	0.684159	+	0.108360i	0.488832	−	0.872378i	$-0.337423\pi$
$773$	528.855	+	83.7624i	0.684159	+	0.108360i	0.195327	+	0.980738i	$0.437423\pi$
$774$		−	1.12404i		−	0.00145225i
$775$	48.1780	−	16.3601i	0.0621652	−	0.0211099i
$776$	−151.245			−0.194903
$777$	65.8573	−	415.807i	0.0847585	−	0.535144i
$778$	−152.636	+	77.7720i	−0.196190	+	0.0999640i
$779$	−982.976	−	319.388i	−1.26184	−	0.409998i
$780$	−94.1714	+	187.877i	−0.120733	+	0.240868i
$781$	548.536	+	1688.22i	0.702351	+	2.16161i
$782$	−962.473	+	962.473i	−1.23078	+	1.23078i
$783$	128.749	−	252.684i	0.164430	−	0.322713i
$784$	26.1109	−	35.9385i	0.0333047	−	0.0458400i
$785$	695.734	−	4.59192i	0.886286	−	0.00584958i
$786$	−347.198	+	252.254i	−0.441728	+	0.320934i
$787$	−1361.44	+	215.631i	−1.72992	+	0.273992i	−0.940482	−	0.339844i	$-0.889626\pi$
$787$	−1361.44	+	215.631i	−1.72992	+	0.273992i	−0.789434	+	0.613836i	$0.789626\pi$
$788$	46.8059	+	295.521i	0.0593984	+	0.375027i
$789$	−189.123	−	260.306i	−0.239700	−	0.329918i
$790$	287.093	−	95.3816i	0.363409	−	0.120736i
$791$	−331.766	−	241.042i	−0.419426	−	0.304731i
$792$	−105.247	−	53.6261i	−0.132888	−	0.0677097i
$793$	929.280	+	929.280i	1.17185	+	1.17185i
$794$	−652.872	+	212.131i	−0.822258	+	0.267168i
$795$	53.9496	−	8.91017i	0.0678612	−	0.0112078i
$796$	−64.0558	+	197.144i	−0.0804722	+	0.247668i
$797$	41.8178	+	82.0721i	0.0524691	+	0.102976i	0.915752	−	0.401744i	$-0.131596\pi$
$797$	41.8178	+	82.0721i	0.0524691	+	0.102976i	−0.863283	+	0.504720i	$0.831596\pi$
$798$	−510.705	−	80.8878i	−0.639982	−	0.101363i
$799$			1818.09i			2.27546i
$800$	101.311	+	98.6713i	0.126639	+	0.123339i
$801$	404.408			0.504879
$802$	−2.58021	+	16.2908i	−0.00321722	+	0.0203127i
$803$	−172.690	+	87.9897i	−0.215056	+	0.109576i
$804$	29.5205	+	9.59179i	0.0367170	+	0.0119301i
$805$	1187.51	+	180.057i	1.47516	+	0.223673i
$806$	−10.7917	−	33.2133i	−0.0133891	−	0.0412076i
$807$	100.772	−	100.772i	0.124873	−	0.124873i
$808$	−14.8650	+	29.1743i	−0.0183973	+	0.0361068i
$809$	−560.717	+	771.760i	−0.693098	+	0.953968i	0.306899	+	0.951742i	$0.400709\pi$
$809$	−560.717	+	771.760i	−0.693098	+	0.953968i	−0.999998	+	0.00222599i	$0.999291\pi$
$810$	−51.7313	−	37.0658i	−0.0638658	−	0.0457603i
$811$	723.429	−	525.602i	0.892021	−	0.648091i	−0.0443831	−	0.999015i	$-0.514132\pi$
$811$	723.429	−	525.602i	0.892021	−	0.648091i	0.936404	+	0.350923i	$0.114132\pi$
$812$	−835.839	+	132.384i	−1.02936	+	0.163034i
$813$	−71.0890	−	448.838i	−0.0874403	−	0.552076i
$814$	362.786	+	499.332i	0.445683	+	0.613430i
$815$	−153.003	+	213.540i	−0.187734	+	0.262013i
$816$	−174.109	−	126.498i	−0.213369	−	0.155022i
$817$	6.42751	+	3.27498i	0.00786721	+	0.00400854i
$818$	−534.319	−	534.319i	−0.653201	−	0.653201i
$819$	−268.391	+	87.2057i	−0.327706	+	0.106478i
$820$	−56.9058	+	375.304i	−0.0693974	+	0.457688i
$821$	−65.0858	+	200.314i	−0.0792763	+	0.243987i	−0.982838	−	0.184471i	$-0.940943\pi$
$821$	−65.0858	+	200.314i	−0.0792763	+	0.243987i	0.903562	+	0.428458i	$0.140943\pi$
$822$	144.273	+	283.151i	0.175514	+	0.344466i
$823$	315.519	+	49.9732i	0.383376	+	0.0607208i	0.345148	−	0.938548i	$-0.387829\pi$
$823$	315.519	+	49.9732i	0.383376	+	0.0607208i	0.0382281	+	0.999269i	$0.487829\pi$
$824$		−	51.8007i		−	0.0628650i
$825$	540.653	+	266.546i	0.655336	+	0.323086i
$826$	94.6188			0.114551
$827$	−212.778	+	1343.42i	−0.257289	+	1.62446i	0.433329	+	0.901236i	$0.357339\pi$
$827$	−212.778	+	1343.42i	−0.257289	+	1.62446i	−0.690618	+	0.723220i	$0.742661\pi$
$828$	165.644	−	84.4000i	0.200053	−	0.101932i
$829$	437.124	+	142.030i	0.527291	+	0.171327i	0.560551	−	0.828120i	$-0.310589\pi$
$829$	437.124	+	142.030i	0.527291	+	0.171327i	−0.0332608	+	0.999447i	$0.510589\pi$
$830$	46.7118	+	282.833i	0.0562793	+	0.340762i
$831$	−179.249	−	551.673i	−0.215703	−	0.663866i
$832$	68.6370	−	68.6370i	0.0824964	−	0.0824964i
$833$	156.615	−	307.375i	0.188013	−	0.368997i
$834$	−187.424	+	257.966i	−0.224728	+	0.309312i
$835$	2.68602	+	8.08478i	0.00321680	+	0.00968237i
$836$	613.293	−	445.584i	0.733605	−	0.532995i
$837$	10.4450	−	1.65433i	0.0124791	−	0.00197650i
$838$	−153.299	−	967.892i	−0.182934	−	1.15500i
$839$	−230.282	−	316.957i	−0.274473	−	0.377779i	0.649421	−	0.760429i	$-0.275011\pi$
$839$	−230.282	−	316.957i	−0.274473	−	0.377779i	−0.923893	+	0.382650i	$0.875011\pi$
$840$	1.25336	+	189.899i	0.00149209	+	0.226071i
$841$	1729.46	+	1256.52i	2.05643	+	1.49408i
$842$	−594.031	−	302.674i	−0.705500	−	0.359470i
$843$	−25.5334	−	25.5334i	−0.0302887	−	0.0302887i
$844$	340.007	−	110.475i	0.402851	−	0.130894i
$845$	97.3546	+	48.7980i	0.115213	+	0.0577491i
$846$	76.7345	−	236.165i	0.0907028	−	0.279154i
$847$	256.190	+	502.802i	0.302468	+	0.593627i
$848$	−24.9449	−	3.95088i	−0.0294161	−	0.00465906i
$849$			572.424i			0.674234i
$850$	896.942	+	633.748i	1.05523	+	0.745586i
$851$	−971.399			−1.14148
$852$	69.1007	−	436.285i	0.0811041	−	0.512071i
$853$	−1059.33	+	539.754i	−1.24188	+	0.632772i	−0.946530	−	0.322616i	$-0.895438\pi$
$853$	−1059.33	+	539.754i	−1.24188	+	0.632772i	−0.295355	+	0.955388i	$0.595438\pi$
$854$	1129.42	+	366.972i	1.32251	+	0.429710i
$855$	362.675	−	187.817i	0.424181	−	0.219669i
$856$	25.0990	+	77.2469i	0.0293213	+	0.0902417i
$857$	−80.9800	+	80.9800i	−0.0944924	+	0.0944924i	−0.752773	−	0.658280i	$-0.771284\pi$
$857$	−80.9800	+	80.9800i	−0.0944924	+	0.0944924i	0.658280	+	0.752773i	$0.271284\pi$
$858$	187.832	−	368.641i	0.218918	−	0.429651i
$859$	373.635	−	514.265i	0.434966	−	0.598679i	−0.534118	−	0.845410i	$-0.679356\pi$
$859$	373.635	−	514.265i	0.434966	−	0.598679i	0.969084	+	0.246731i	$0.0793564\pi$
$860$	0.802056	−	2.52506i	0.000932624	−	0.00293612i
$861$	−412.378	+	299.610i	−0.478952	+	0.347979i
$862$	37.9644	−	6.01296i	0.0440422	−	0.00697560i
$863$	43.1283	+	272.302i	0.0499749	+	0.315529i	0.999994	+	0.00333858i	$0.00106271\pi$
$863$	43.1283	+	272.302i	0.0499749	+	0.315529i	−0.950020	+	0.312190i	$0.898937\pi$
$864$	17.2773	+	23.7801i	0.0199969	+	0.0275233i
$865$	−694.916	−	943.314i	−0.803371	−	1.09054i
$866$	646.307	+	469.569i	0.746313	+	0.542228i
$867$	−1043.12	−	531.494i	−1.20313	−	0.613027i
$868$	−22.3141	−	22.3141i	−0.0257075	−	0.0257075i
$869$	−566.426	+	184.043i	−0.651813	+	0.211787i
$870$	469.527	−	475.766i	0.539686	−	0.546857i
$871$	−33.5964	+	103.399i	−0.0385722	+	0.118713i
$872$	139.006	+	272.814i	0.159410	+	0.312860i
$873$	158.444	+	25.0951i	0.181494	+	0.0287458i
$874$			1193.10i			1.36510i
$875$	−19.1869	−	968.908i	−0.0219279	−	1.10732i
$876$	48.2295			0.0550565
$877$	181.442	−	1145.58i	0.206889	−	1.30625i	−0.637473	−	0.770472i	$-0.720020\pi$
$877$	181.442	−	1145.58i	0.206889	−	1.30625i	0.844362	−	0.535773i	$-0.179980\pi$
$878$	−122.325	+	62.3277i	−0.139322	+	0.0709883i
$879$	792.772	+	257.587i	0.901902	+	0.293046i
$880$	−198.164	−	195.566i	−0.225187	−	0.222234i
$881$	−43.7080	−	134.519i	−0.0496118	−	0.152689i	0.923181	−	0.384365i	$-0.125579\pi$
$881$	−43.7080	−	134.519i	−0.0496118	−	0.152689i	−0.972793	+	0.231675i	$0.925579\pi$
$882$	−33.3169	+	33.3169i	−0.0377742	+	0.0377742i
$883$	−296.413	+	581.744i	−0.335689	+	0.658826i	−0.995721	−	0.0924111i	$-0.970543\pi$
$883$	−296.413	+	581.744i	−0.335689	+	0.658826i	0.660032	+	0.751237i	$0.270543\pi$
$884$	443.074	−	609.839i	0.501215	−	0.689863i
$885$	−60.1723	+	44.3274i	−0.0679912	+	0.0500875i
$886$	−438.833	+	318.831i	−0.495297	+	0.359854i
$887$	−788.532	+	124.891i	−0.888987	+	0.140802i	−0.584191	−	0.811616i	$-0.698588\pi$
$887$	−788.532	+	124.891i	−0.888987	+	0.140802i	−0.304796	+	0.952418i	$0.598588\pi$
$888$	−24.0266	−	151.698i	−0.0270569	−	0.170831i
$889$	36.2632	+	49.9120i	0.0407910	+	0.0561440i
$890$	908.470	+	288.565i	1.02075	+	0.324230i
$891$	101.359	+	73.6418i	0.113759	+	0.0826507i
$892$	−615.519	−	313.622i	−0.690043	−	0.351595i
$893$	1126.87	+	1126.87i	1.26189	+	1.26189i
$894$	−44.5086	+	14.4617i	−0.0497859	+	0.0161764i
$895$	−317.838	−	613.744i	−0.355126	−	0.685747i
$896$	27.1047	−	83.4197i	0.0302508	−	0.0931024i
$897$	295.621	+	580.189i	0.329566	+	0.646810i
$898$	−964.405	−	152.747i	−1.07395	−	0.170097i
$899$			111.077i			0.123556i
$900$	−89.7619	−	120.178i	−0.0997355	−	0.133531i
$901$	−196.131			−0.217681
$902$	116.904	−	738.104i	0.129606	−	0.818297i
$903$	3.16989	−	1.61514i	0.00351039	−	0.00178864i
$904$	−142.288	−	46.2322i	−0.157398	−	0.0511418i
$905$	288.939	−	576.448i	0.319269	−	0.636959i
$906$	22.5815	+	69.4986i	0.0249244	+	0.0767093i
$907$	100.712	−	100.712i	0.111039	−	0.111039i	−0.649404	−	0.760443i	$-0.724982\pi$
$907$	100.712	−	100.712i	0.111039	−	0.111039i	0.760443	+	0.649404i	$0.224982\pi$
$908$	−396.330	+	777.841i	−0.436487	+	0.856653i
$909$	20.4134	−	28.0966i	0.0224569	−	0.0309093i
$910$	−665.145	+	4.39003i	−0.730929	+	0.00482421i
$911$	654.460	−	475.493i	0.718398	−	0.521947i	−0.167474	−	0.985876i	$-0.553561\pi$
$911$	654.460	−	475.493i	0.718398	−	0.521947i	0.885872	+	0.463930i	$0.153561\pi$
$912$	−186.319	+	29.5101i	−0.204298	+	0.0323576i
$913$	−88.2844	−	557.405i	−0.0966970	−	0.610521i
$914$	−125.446	−	172.662i	−0.137250	−	0.188908i
$915$	−890.171	+	295.743i	−0.972864	+	0.323217i
$916$	624.190	+	453.501i	0.681431	+	0.495088i
$917$	−1210.27	−	616.664i	−1.31982	−	0.672479i
$918$	161.408	+	161.408i	0.175826	+	0.175826i
$919$	−1740.98	+	565.678i	−1.89442	+	0.615536i	−0.919457	+	0.393191i	$0.871371\pi$
$919$	−1740.98	+	565.678i	−1.89442	+	0.615536i	−0.974968	+	0.222345i	$0.928629\pi$
$920$	432.330	−	71.4024i	0.469924	−	0.0776114i
$921$	149.650	−	460.577i	0.162487	−	0.500083i
$922$	56.2016	+	110.302i	0.0609562	+	0.119633i
$923$	1528.14	+	242.033i	1.65562	+	0.262225i
$924$		−	373.862i		−	0.404613i
$925$	132.818	+	772.443i	0.143587	+	0.835074i
$926$	−804.793			−0.869107
$927$	−8.59497	+	54.2665i	−0.00927182	+	0.0585399i
$928$	−275.088	+	140.164i	−0.296431	+	0.151039i
$929$	497.402	+	161.616i	0.535416	+	0.173967i	0.564230	−	0.825617i	$-0.309173\pi$
$929$	497.402	+	161.616i	0.535416	+	0.173967i	−0.0288139	+	0.999585i	$0.509173\pi$
$930$	24.6443	+	3.73672i	0.0264993	+	0.00401797i
$931$	−93.4421	−	287.585i	−0.100367	−	0.308899i
$932$	47.6712	−	47.6712i	0.0511494	−	0.0511494i
$933$	−271.000	+	531.867i	−0.290461	+	0.570061i
$934$	753.330	−	1036.87i	0.806563	−	1.11014i
$935$	−1757.53	−	1259.28i	−1.87971	−	1.34683i
$936$	−83.2928	+	60.5157i	−0.0889880	+	0.0646536i
$937$	258.518	−	40.9452i	0.275899	−	0.0436982i	−0.0169514	−	0.999856i	$-0.505396\pi$
$937$	258.518	−	40.9452i	0.275899	−	0.0436982i	0.292851	+	0.956158i	$0.405396\pi$
$938$	15.3685	+	97.0329i	0.0163843	+	0.103447i
$939$	31.1118	+	42.8217i	0.0331329	+	0.0456035i
$940$	340.893	−	475.771i	0.362652	−	0.506139i
$941$	−607.164	−	441.131i	−0.645233	−	0.468789i	0.216411	−	0.976302i	$-0.430565\pi$
$941$	−607.164	−	441.131i	−0.645233	−	0.468789i	−0.861644	+	0.507513i	$0.830565\pi$
$942$	303.696	+	154.741i	0.322395	+	0.164269i
$943$	831.666	+	831.666i	0.881936	+	0.881936i
$944$	32.8300	−	10.6671i	0.0347776	−	0.0112999i
$945$	30.1958	−	199.147i	0.0319533	−	0.210738i
$946$	−1.61178	+	4.96054i	−0.00170378	+	0.00524370i
$947$	142.677	+	280.019i	0.150662	+	0.295691i	0.953986	−	0.299852i	$-0.0969372\pi$
$947$	142.677	+	280.019i	0.150662	+	0.295691i	−0.803324	+	0.595542i	$0.796937\pi$
$948$	146.381	+	23.1844i	0.154410	+	0.0244561i
$949$			168.929i			0.178008i
$950$	948.736	−	163.130i	0.998670	−	0.171716i
$951$	725.424			0.762801
$952$	106.556	−	672.770i	0.111929	−	0.706691i
$953$	−532.513	+	271.329i	−0.558776	+	0.284711i	−0.710482	−	0.703715i	$-0.751523\pi$
$953$	−532.513	+	271.329i	−0.558776	+	0.284711i	0.151706	+	0.988426i	$0.451523\pi$
$954$	25.4768	+	8.27790i	0.0267052	+	0.00867704i
$955$	62.1390	+	376.242i	0.0650670	+	0.393970i
$956$	−30.3197	−	93.3144i	−0.0317151	−	0.0976092i
$957$	−930.516	+	930.516i	−0.972326	+	0.972326i
$958$	578.169	−	1134.72i	0.603517	−	1.18447i
$959$	−591.204	+	813.723i	−0.616480	+	0.848512i
$960$	21.8437	+	65.7484i	0.0227539	+	0.0684879i
$961$	774.114	−	562.427i	0.805530	−	0.585252i
$962$	531.339	−	84.1559i	0.552328	−	0.0874801i
$963$	−13.4767	−	85.0885i	−0.0139945	−	0.0883577i
$964$	−270.424	−	372.207i	−0.280523	−	0.386107i
$965$	−0.810392	−	122.785i	−0.000839784	−	0.127238i
$966$	476.031	+	345.857i	0.492786	+	0.358030i
$967$	−704.778	−	359.102i	−0.728829	−	0.371357i	0.0498689	−	0.998756i	$-0.484120\pi$
$967$	−704.778	−	359.102i	−0.728829	−	0.371357i	−0.778698	+	0.627399i	$0.784120\pi$
$968$	145.576	+	145.576i	0.150388	+	0.150388i
$969$	−1393.25	+	452.694i	−1.43782	+	0.467176i
$970$	338.026	+	169.432i	0.348480	+	0.174672i
$971$	514.883	−	1584.65i	0.530261	−	1.63197i	−0.223412	−	0.974724i	$-0.571720\pi$
$971$	514.883	−	1584.65i	0.530261	−	1.63197i	0.753673	−	0.657250i	$-0.228280\pi$
$972$	−14.1540	−	27.7788i	−0.0145618	−	0.0285790i
$973$	−996.798	−	157.877i	−1.02446	−	0.162258i
$974$		−	300.388i		−	0.308407i
$975$	420.938	−	314.402i	0.431732	−	0.322463i
$976$	433.250			0.443903
$977$	284.049	−	1793.42i	0.290736	−	1.83563i	−0.219515	−	0.975609i	$-0.570447\pi$
$977$	284.049	−	1793.42i	0.290736	−	1.83563i	0.510251	−	0.860026i	$-0.329553\pi$
$978$	−114.668	+	58.4261i	−0.117247	+	0.0597403i
$979$	−1784.71	−	579.888i	−1.82299	−	0.592326i
$980$	−98.6169	+	51.0704i	−0.100629	+	0.0521127i
$981$	−100.356	−	308.865i	−0.102300	−	0.314847i
$982$	507.023	−	507.023i	0.516317	−	0.516317i
$983$	737.472	−	1447.37i	0.750226	−	1.47240i	−0.126785	−	0.991930i	$-0.540466\pi$
$983$	737.472	−	1447.37i	0.750226	−	1.47240i	0.877011	−	0.480471i	$-0.159534\pi$
$984$	−109.306	+	150.447i	−0.111083	+	0.152893i
$985$	226.448	−	712.911i	0.229896	−	0.723768i
$986$	−1939.69	+	1409.27i	−1.96723	+	1.42928i
$987$	776.266	−	122.948i	0.786490	−	0.124568i
$988$	−103.363	−	652.606i	−0.104618	−	0.660532i
$989$	−4.82511	−	6.64120i	−0.00487878	−	0.00671507i
$990$	175.148	+	237.755i	0.176918	+	0.240157i
$991$	−949.851	−	690.107i	−0.958477	−	0.696374i	−0.00568067	−	0.999984i	$-0.501808\pi$
$991$	−949.851	−	690.107i	−0.958477	−	0.696374i	−0.952797	+	0.303609i	$0.901808\pi$
$992$	−10.2580	−	5.22672i	−0.0103407	−	0.00526887i
$993$	−187.679	−	187.679i	−0.189002	−	0.189002i
$994$	1329.65	−	432.030i	1.33768	−	0.434638i
$995$	364.012	−	368.849i	0.365842	−	0.370703i
$996$	−43.3971	+	133.563i	−0.0435714	+	0.134099i
$997$	−679.196	−	1333.00i	−0.681240	−	1.33701i	−0.929683	−	0.368361i	$-0.879919\pi$
$997$	−679.196	−	1333.00i	−0.681240	−	1.33701i	0.248443	−	0.968646i	$-0.420081\pi$
$998$	−70.5525	−	11.1744i	−0.0706939	−	0.0111968i
$999$			162.905i			0.163068i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.3.k.a.73.2	yes	32
25.12	odd	20	inner	150.3.k.a.37.2	✓	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.3.k.a.37.2	✓	32	25.12	odd	20	inner
150.3.k.a.73.2	yes	32	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	150.k (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.221232 - 1.39680i) q^{2} +(-1.54327 + 0.786335i) q^{3} +(-1.90211 - 0.618034i) q^{4} +(3.55879 + 3.51212i) q^{5} +(0.756934 + 2.32960i) q^{6} +(-5.48204 + 5.48204i) q^{7} +(-1.28408 + 2.52015i) q^{8} +(1.76336 - 2.42705i) q^{9} +O(q^{10})\)	\(q+(0.221232 - 1.39680i) q^{2} +(-1.54327 + 0.786335i) q^{3} +(-1.90211 - 0.618034i) q^{4} +(3.55879 + 3.51212i) q^{5} +(0.756934 + 2.32960i) q^{6} +(-5.48204 + 5.48204i) q^{7} +(-1.28408 + 2.52015i) q^{8} +(1.76336 - 2.42705i) q^{9} +(5.69306 - 4.19393i) q^{10} +(-11.2621 + 8.18242i) q^{11} +(3.42145 - 0.541905i) q^{12} +(1.89809 + 11.9840i) q^{13} +(6.44453 + 8.87013i) q^{14} +(-8.25387 - 2.62175i) q^{15} +(3.23607 + 2.35114i) q^{16} +(27.6774 + 14.1023i) q^{17} +(-3.00000 - 3.00000i) q^{18} +(25.8955 - 8.41395i) q^{19} +(-4.59861 - 8.87991i) q^{20} +(4.14955 - 12.7710i) q^{21} +(8.93768 + 17.5412i) q^{22} +(-30.6030 - 4.84704i) q^{23} -4.89898i q^{24} +(0.329991 + 24.9978i) q^{25} +17.1593 q^{26} +(-0.812857 + 5.13218i) q^{27} +(13.8156 - 7.03938i) q^{28} +(-51.9065 - 16.8654i) q^{29} +(-5.48808 + 10.9490i) q^{30} +(-0.628911 - 1.93559i) q^{31} +(4.00000 - 4.00000i) q^{32} +(10.9464 - 21.4835i) q^{33} +(25.8213 - 35.5400i) q^{34} +(-38.7631 + 0.255840i) q^{35} +(-4.85410 + 3.52671i) q^{36} +(30.9652 - 4.90440i) q^{37} +(-6.02372 - 38.0323i) q^{38} +(-12.3527 - 17.0021i) q^{39} +(-13.4208 + 4.45883i) q^{40} +(-30.7098 - 22.3120i) q^{41} +(-16.9205 - 8.62144i) q^{42} +(0.187340 + 0.187340i) q^{43} +(26.4789 - 8.60351i) q^{44} +(14.7995 - 2.44425i) q^{45} +(-13.5407 + 41.6740i) q^{46} +(26.5717 + 52.1499i) q^{47} +(-6.84291 - 1.08381i) q^{48} -11.1056i q^{49} +(34.9900 + 5.06938i) q^{50} -53.8028 q^{51} +(3.79617 - 23.9681i) q^{52} +(-5.62578 + 2.86648i) q^{53} +(6.98881 + 2.27080i) q^{54} +(-68.8173 - 10.4345i) q^{55} +(-6.77618 - 20.8549i) q^{56} +(-33.3475 + 33.3475i) q^{57} +(-35.0410 + 68.7719i) q^{58} +(5.07252 - 6.98172i) q^{59} +(14.0795 + 10.0880i) q^{60} +(87.6266 - 63.6644i) q^{61} +(-2.84277 + 0.450251i) q^{62} +(3.63841 + 22.9720i) q^{63} +(-4.70228 - 6.47214i) q^{64} +(-35.3345 + 49.3150i) q^{65} +(-27.5865 - 20.0428i) q^{66} +(7.98376 + 4.06793i) q^{67} +(-43.9298 - 43.9298i) q^{68} +(51.0401 - 16.5839i) q^{69} +(-8.21826 + 54.2009i) q^{70} +(39.4041 - 121.273i) q^{71} +(3.85224 + 7.56044i) q^{72} +(13.7512 + 2.17798i) q^{73} -44.3372i q^{74} +(-20.1659 - 38.3189i) q^{75} -54.4562 q^{76} +(16.8831 - 106.596i) q^{77} +(-26.4813 + 13.4929i) q^{78} +(40.6892 + 13.2207i) q^{79} +(3.25900 + 19.7327i) q^{80} +(-2.78115 - 8.55951i) q^{81} +(-37.9594 + 37.9594i) q^{82} +(-18.4050 + 36.1218i) q^{83} +(-15.7858 + 21.7273i) q^{84} +(48.9689 + 147.394i) q^{85} +(0.303122 - 0.220231i) q^{86} +(93.3675 - 14.7880i) q^{87} +(-6.15943 - 38.8891i) q^{88} +(79.2350 + 109.058i) q^{89} +(-0.140006 - 21.2127i) q^{90} +(-76.1025 - 55.2917i) q^{91} +(55.2148 + 28.1333i) q^{92} +(2.49260 + 2.49260i) q^{93} +(78.7215 - 25.5782i) q^{94} +(121.707 + 61.0046i) q^{95} +(-3.02774 + 9.31841i) q^{96} +(24.2763 + 47.6449i) q^{97} +(-15.5124 - 2.45692i) q^{98} +41.7623i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 8 q^{2} + 8 q^{7} - 16 q^{8}+O(q^{10}) \) 32 * q + 8 * q^2 + 8 * q^7 - 16 * q^8	\( 32 q + 8 q^{2} + 8 q^{7} - 16 q^{8} + 20 q^{10} + 32 q^{11} - 16 q^{13} - 60 q^{14} + 32 q^{16} + 148 q^{17} - 96 q^{18} + 180 q^{19} + 40 q^{20} - 36 q^{21} + 48 q^{22} + 48 q^{23} - 160 q^{25} - 8 q^{26} - 56 q^{28} - 200 q^{29} - 120 q^{30} + 120 q^{31} + 128 q^{32} - 156 q^{33} - 100 q^{34} - 180 q^{35} - 48 q^{36} + 444 q^{37} + 32 q^{38} - 120 q^{39} - 304 q^{41} - 24 q^{42} + 216 q^{43} + 40 q^{44} + 60 q^{45} - 16 q^{46} + 32 q^{47} + 40 q^{50} + 24 q^{51} - 32 q^{52} - 340 q^{53} + 80 q^{55} + 72 q^{56} - 24 q^{57} - 192 q^{58} - 560 q^{59} + 312 q^{61} + 40 q^{62} + 24 q^{63} - 520 q^{65} - 108 q^{66} + 688 q^{67} - 16 q^{68} + 180 q^{69} + 80 q^{70} + 212 q^{71} + 48 q^{72} - 376 q^{73} + 120 q^{75} - 64 q^{76} - 176 q^{77} - 48 q^{78} + 440 q^{79} + 80 q^{80} + 72 q^{81} - 256 q^{82} - 96 q^{83} - 240 q^{85} + 408 q^{86} + 264 q^{87} + 184 q^{88} - 560 q^{89} - 516 q^{91} + 216 q^{92} + 48 q^{93} + 80 q^{94} + 520 q^{95} - 716 q^{97} - 108 q^{98}+O(q^{100}) \) 32 * q + 8 * q^2 + 8 * q^7 - 16 * q^8 + 20 * q^10 + 32 * q^11 - 16 * q^13 - 60 * q^14 + 32 * q^16 + 148 * q^17 - 96 * q^18 + 180 * q^19 + 40 * q^20 - 36 * q^21 + 48 * q^22 + 48 * q^23 - 160 * q^25 - 8 * q^26 - 56 * q^28 - 200 * q^29 - 120 * q^30 + 120 * q^31 + 128 * q^32 - 156 * q^33 - 100 * q^34 - 180 * q^35 - 48 * q^36 + 444 * q^37 + 32 * q^38 - 120 * q^39 - 304 * q^41 - 24 * q^42 + 216 * q^43 + 40 * q^44 + 60 * q^45 - 16 * q^46 + 32 * q^47 + 40 * q^50 + 24 * q^51 - 32 * q^52 - 340 * q^53 + 80 * q^55 + 72 * q^56 - 24 * q^57 - 192 * q^58 - 560 * q^59 + 312 * q^61 + 40 * q^62 + 24 * q^63 - 520 * q^65 - 108 * q^66 + 688 * q^67 - 16 * q^68 + 180 * q^69 + 80 * q^70 + 212 * q^71 + 48 * q^72 - 376 * q^73 + 120 * q^75 - 64 * q^76 - 176 * q^77 - 48 * q^78 + 440 * q^79 + 80 * q^80 + 72 * q^81 - 256 * q^82 - 96 * q^83 - 240 * q^85 + 408 * q^86 + 264 * q^87 + 184 * q^88 - 560 * q^89 - 516 * q^91 + 216 * q^92 + 48 * q^93 + 80 * q^94 + 520 * q^95 - 716 * q^97 - 108 * q^98

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