LMFDB - Embedded newform 637.2.w.b.92.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$174$
Relative dimension:	$29$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.18
Character	$\chi$	$=$	637.92
Dual form			637.2.w.b.547.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.529450 - 0.663910i) q^{2} +(2.82603 + 1.36094i) q^{3} +(0.284583 + 1.24684i) q^{4} +(-2.32207 - 1.11825i) q^{5} +(2.39979 - 1.15568i) q^{6} +(-1.55674 + 2.13929i) q^{7} +(2.50862 + 1.20809i) q^{8} +(4.26380 + 5.34664i) q^{9} +O(q^{10})$	\(q+(0.529450 - 0.663910i) q^{2} +(2.82603 + 1.36094i) q^{3} +(0.284583 + 1.24684i) q^{4} +(-2.32207 - 1.11825i) q^{5} +(2.39979 - 1.15568i) q^{6} +(-1.55674 + 2.13929i) q^{7} +(2.50862 + 1.20809i) q^{8} +(4.26380 + 5.34664i) q^{9} +(-1.97184 + 0.949586i) q^{10} +(2.43245 - 3.05020i) q^{11} +(-0.892640 + 3.91091i) q^{12} +(0.623490 - 0.781831i) q^{13} +(0.596076 + 2.16618i) q^{14} +(-5.04036 - 6.32041i) q^{15} +(-0.174260 + 0.0839190i) q^{16} +(-1.27981 + 5.60720i) q^{17} +5.80716 q^{18} -2.04423 q^{19} +(0.733457 - 3.21349i) q^{20} +(-7.31085 + 3.92705i) q^{21} +(-0.737194 - 3.22986i) q^{22} +(0.201498 + 0.882819i) q^{23} +(5.44529 + 6.82818i) q^{24} +(1.02407 + 1.28415i) q^{25} +(-0.188959 - 0.827882i) q^{26} +(2.67924 + 11.7385i) q^{27} +(-3.11038 - 1.33221i) q^{28} +(2.24581 - 9.83953i) q^{29} -6.86480 q^{30} +3.50517 q^{31} +(-1.27570 + 5.58922i) q^{32} +(11.0253 - 5.30952i) q^{33} +(3.04508 + 3.81841i) q^{34} +(6.00712 - 3.22675i) q^{35} +(-5.45300 + 6.83785i) q^{36} +(1.53058 - 6.70592i) q^{37} +(-1.08232 + 1.35718i) q^{38} +(2.82603 - 1.36094i) q^{39} +(-4.47424 - 5.61052i) q^{40} +(4.01644 + 1.93421i) q^{41} +(-1.26353 + 6.93292i) q^{42} +(-2.16463 + 1.04243i) q^{43} +(4.49535 + 2.16485i) q^{44} +(-3.92197 - 17.1833i) q^{45} +(0.692795 + 0.333632i) q^{46} +(-1.19068 + 1.49306i) q^{47} -0.606672 q^{48} +(-2.15310 - 6.66064i) q^{49} +1.39475 q^{50} +(-11.2478 + 14.1044i) q^{51} +(1.15225 + 0.554897i) q^{52} +(-0.710349 - 3.11224i) q^{53} +(9.21184 + 4.43619i) q^{54} +(-9.05921 + 4.36269i) q^{55} +(-6.48972 + 3.48598i) q^{56} +(-5.77706 - 2.78208i) q^{57} +(-5.34352 - 6.70056i) q^{58} +(11.5925 - 5.58267i) q^{59} +(6.44615 - 8.08321i) q^{60} +(-1.69296 + 7.41736i) q^{61} +(1.85582 - 2.32712i) q^{62} +(-18.0756 + 0.798156i) q^{63} +(2.79413 + 3.50373i) q^{64} +(-2.32207 + 1.11825i) q^{65} +(2.31232 - 10.1310i) q^{66} -5.21084 q^{67} -7.35550 q^{68} +(-0.632029 + 2.76910i) q^{69} +(1.03820 - 5.69659i) q^{70} +(-3.13581 - 13.7389i) q^{71} +(4.23705 + 18.5637i) q^{72} +(-9.63459 - 12.0814i) q^{73} +(-3.64176 - 4.56662i) q^{74} +(1.14641 + 5.02274i) q^{75} +(-0.581754 - 2.54883i) q^{76} +(2.73855 + 9.95210i) q^{77} +(0.592698 - 2.59678i) q^{78} +3.03200 q^{79} +0.498485 q^{80} +(-3.83865 + 16.8182i) q^{81} +(3.41065 - 1.64248i) q^{82} +(7.13316 + 8.94470i) q^{83} +(-6.97695 - 7.99790i) q^{84} +(9.24204 - 11.5892i) q^{85} +(-0.453985 + 1.98904i) q^{86} +(19.7378 - 24.7504i) q^{87} +(9.78701 - 4.71317i) q^{88} +(-1.05766 - 1.32626i) q^{89} +(-13.4846 - 6.49385i) q^{90} +(0.701949 + 2.55093i) q^{91} +(-1.04339 + 0.502471i) q^{92} +(9.90572 + 4.77035i) q^{93} +(0.360854 + 1.58100i) q^{94} +(4.74684 + 2.28596i) q^{95} +(-11.2118 + 14.0591i) q^{96} -9.30350 q^{97} +(-5.56203 - 2.09701i) q^{98} +26.6798 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) $ 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	0.529450	−	0.663910i	0.374378	−	0.469455i	−0.558575	−	0.829454i	$-0.688652\pi$
$2$	0.529450	−	0.663910i	0.374378	−	0.469455i	0.932953	+	0.359999i	$0.117223\pi$
$3$	2.82603	+	1.36094i	1.63161	+	0.785741i	0.999945	+	0.0104987i	$0.00334192\pi$
$3$	2.82603	+	1.36094i	1.63161	+	0.785741i	0.631664	+	0.775243i	$0.282372\pi$
$4$	0.284583	+	1.24684i	0.142292	+	0.623421i
$5$	−2.32207	−	1.11825i	−1.03846	−	0.500096i	−0.164645	−	0.986353i	$-0.552648\pi$
$5$	−2.32207	−	1.11825i	−1.03846	−	0.500096i	−0.873816	+	0.486257i	$0.838362\pi$
$6$	2.39979	−	1.15568i	0.979708	−	0.471803i
$7$	−1.55674	+	2.13929i	−0.588394	+	0.808575i
$7$	−1.55674	+	2.13929i	−0.588394	+	0.808575i
$8$	2.50862	+	1.20809i	0.886931	+	0.427123i
$9$	4.26380	+	5.34664i	1.42127	+	1.78221i
$10$	−1.97184	+	0.949586i	−0.623549	+	0.300286i
$11$	2.43245	−	3.05020i	0.733413	−	0.919670i	−0.265601	−	0.964083i	$-0.585570\pi$
$11$	2.43245	−	3.05020i	0.733413	−	0.919670i	0.999013	+	0.0444129i	$0.0141417\pi$
$12$	−0.892640	+	3.91091i	−0.257683	+	1.12898i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$14$	0.596076	+	2.16618i	0.159308	+	0.578937i
$15$	−5.04036	−	6.32041i	−1.30142	−	1.63192i
$16$	−0.174260	+	0.0839190i	−0.0435649	+	0.0209798i
$17$	−1.27981	+	5.60720i	−0.310399	+	1.35994i	0.543458	+	0.839436i	$0.317115\pi$
$17$	−1.27981	+	5.60720i	−0.310399	+	1.35994i	−0.853857	+	0.520508i	$0.825742\pi$
$18$	5.80716			1.36876
$19$	−2.04423			−0.468979			−0.234489	−	0.972119i	$-0.575342\pi$
$19$	−2.04423			−0.468979			−0.234489	+	0.972119i	$0.575342\pi$
$20$	0.733457	−	3.21349i	0.164006	−	0.718557i
$21$	−7.31085	+	3.92705i	−1.59536	+	0.856952i
$22$	−0.737194	−	3.22986i	−0.157170	−	0.688608i
$23$	0.201498	+	0.882819i	0.0420152	+	0.184080i	0.991581	−	0.129487i	$-0.0413330\pi$
$23$	0.201498	+	0.882819i	0.0420152	+	0.184080i	−0.949566	+	0.313567i	$0.898476\pi$
$24$	5.44529	+	6.82818i	1.11152	+	1.39380i
$25$	1.02407	+	1.28415i	0.204814	+	0.256829i
$26$	−0.188959	−	0.827882i	−0.0370578	−	0.162361i
$27$	2.67924	+	11.7385i	0.515620	+	2.25908i
$28$	−3.11038	−	1.33221i	−0.587806	−	0.251763i
$29$	2.24581	−	9.83953i	0.417036	−	1.82716i	−0.131864	−	0.991268i	$-0.542096\pi$
$29$	2.24581	−	9.83953i	0.417036	−	1.82716i	0.548900	−	0.835888i	$-0.315047\pi$
$30$	−6.86480			−1.25334
$31$	3.50517			0.629548			0.314774	−	0.949167i	$-0.398071\pi$
$31$	3.50517			0.629548			0.314774	+	0.949167i	$0.398071\pi$
$32$	−1.27570	+	5.58922i	−0.225514	+	0.988043i
$33$	11.0253	−	5.30952i	1.91926	−	0.924269i
$34$	3.04508	+	3.81841i	0.522227	+	0.654851i
$35$	6.00712	−	3.22675i	1.01539	−	0.545420i
$36$	−5.45300	+	6.83785i	−0.908834	+	1.13964i
$37$	1.53058	−	6.70592i	0.251626	−	1.10245i	−0.678324	−	0.734763i	$-0.737294\pi$
$37$	1.53058	−	6.70592i	0.251626	−	1.10245i	0.929951	−	0.367684i	$-0.119849\pi$
$38$	−1.08232	+	1.35718i	−0.175575	+	0.220164i
$39$	2.82603	−	1.36094i	0.452527	−	0.217925i
$40$	−4.47424	−	5.61052i	−0.707440	−	0.887101i
$41$	4.01644	+	1.93421i	0.627262	+	0.302073i	0.720378	−	0.693582i	$-0.243968\pi$
$41$	4.01644	+	1.93421i	0.627262	+	0.302073i	−0.0931159	+	0.995655i	$0.529683\pi$
$42$	−1.26353	+	6.93292i	−0.194966	+	1.06977i
$43$	−2.16463	+	1.04243i	−0.330104	+	0.158970i	−0.591593	−	0.806237i	$-0.701501\pi$
$43$	−2.16463	+	1.04243i	−0.330104	+	0.158970i	0.261489	+	0.965206i	$0.415786\pi$
$44$	4.49535	+	2.16485i	0.677700	+	0.326363i
$45$	−3.92197	−	17.1833i	−0.584652	−	2.56153i
$46$	0.692795	+	0.333632i	0.102147	+	0.0491914i
$47$	−1.19068	+	1.49306i	−0.173678	+	0.217786i	−0.861050	−	0.508520i	$-0.830193\pi$
$47$	−1.19068	+	1.49306i	−0.173678	+	0.217786i	0.687372	+	0.726306i	$0.258764\pi$
$48$	−0.606672			−0.0875656
$49$	−2.15310	−	6.66064i	−0.307586	−	0.951520i
$50$	1.39475			0.197248
$51$	−11.2478	+	14.1044i	−1.57501	+	1.97500i
$52$	1.15225	+	0.554897i	0.159789	+	0.0769503i
$53$	−0.710349	−	3.11224i	−0.0975740	−	0.427500i	0.902420	−	0.430857i	$-0.141789\pi$
$53$	−0.710349	−	3.11224i	−0.0975740	−	0.427500i	−0.999994	+	0.00335706i	$0.998931\pi$
$54$	9.21184	+	4.43619i	1.25357	+	0.603689i
$55$	−9.05921	+	4.36269i	−1.22154	+	0.588264i
$56$	−6.48972	+	3.48598i	−0.867225	+	0.465833i
$57$	−5.77706	−	2.78208i	−0.765190	−	0.368496i
$58$	−5.34352	−	6.70056i	−0.701638	−	0.879827i
$59$	11.5925	−	5.58267i	1.50922	−	0.726802i	0.517555	−	0.855650i	$-0.326842\pi$
$59$	11.5925	−	5.58267i	1.50922	−	0.726802i	0.991664	+	0.128848i	$0.0411279\pi$
$60$	6.44615	−	8.08321i	0.832194	−	1.04354i
$61$	−1.69296	+	7.41736i	−0.216762	+	0.949695i	0.743091	+	0.669191i	$0.233359\pi$
$61$	−1.69296	+	7.41736i	−0.216762	+	0.949695i	−0.959853	+	0.280505i	$0.909498\pi$
$62$	1.85582	−	2.32712i	0.235689	−	0.295544i
$63$	−18.0756	+	0.798156i	−2.27732	+	0.100558i
$64$	2.79413	+	3.50373i	0.349267	+	0.437966i
$65$	−2.32207	+	1.11825i	−0.288017	+	0.138702i
$66$	2.31232	−	10.1310i	0.284628	−	1.24703i
$67$	−5.21084			−0.636605			−0.318303	−	0.947989i	$-0.603113\pi$
$67$	−5.21084			−0.636605			−0.318303	+	0.947989i	$0.603113\pi$
$68$	−7.35550			−0.891985
$69$	−0.632029	+	2.76910i	−0.0760873	+	0.333360i
$70$	1.03820	−	5.69659i	0.124089	−	0.680872i
$71$	−3.13581	−	13.7389i	−0.372153	−	1.63051i	−0.720722	−	0.693224i	$-0.756190\pi$
$71$	−3.13581	−	13.7389i	−0.372153	−	1.63051i	0.348570	−	0.937283i	$-0.386667\pi$
$72$	4.23705	+	18.5637i	0.499341	+	2.18776i
$73$	−9.63459	−	12.0814i	−1.12764	−	1.41402i	−0.897584	−	0.440844i	$-0.854679\pi$
$73$	−9.63459	−	12.0814i	−1.12764	−	1.41402i	−0.230060	−	0.973176i	$-0.573892\pi$
$74$	−3.64176	−	4.56662i	−0.423346	−	0.530859i
$75$	1.14641	+	5.02274i	0.132376	+	0.579976i
$76$	−0.581754	−	2.54883i	−0.0667318	−	0.292371i
$77$	2.73855	+	9.95210i	0.312087	+	1.13415i
$78$	0.592698	−	2.59678i	0.0671098	−	0.294027i
$79$	3.03200			0.341126			0.170563	−	0.985347i	$-0.445441\pi$
$79$	3.03200			0.341126			0.170563	+	0.985347i	$0.445441\pi$
$80$	0.498485			0.0557323
$81$	−3.83865	+	16.8182i	−0.426517	+	1.86869i
$82$	3.41065	−	1.64248i	0.376643	−	0.181382i
$83$	7.13316	+	8.94470i	0.782966	+	0.981808i	0.999984	+	0.00564078i	$0.00179553\pi$
$83$	7.13316	+	8.94470i	0.782966	+	0.981808i	−0.217018	+	0.976168i	$0.569633\pi$
$84$	−6.97695	−	7.99790i	−0.761248	−	0.872642i
$85$	9.24204	−	11.5892i	1.00244	−	1.25702i
$86$	−0.453985	+	1.98904i	−0.0489545	+	0.214484i
$87$	19.7378	−	24.7504i	2.11611	−	2.65352i
$88$	9.78701	−	4.71317i	1.04330	−	0.502426i
$89$	−1.05766	−	1.32626i	−0.112111	−	0.140583i	0.722610	−	0.691256i	$-0.242942\pi$
$89$	−1.05766	−	1.32626i	−0.112111	−	0.140583i	−0.834721	+	0.550673i	$0.814371\pi$
$90$	−13.4846	−	6.49385i	−1.42140	−	0.684512i
$91$	0.701949	+	2.55093i	0.0735842	+	0.267411i
$92$	−1.04339	+	0.502471i	−0.108781	+	0.0523862i
$93$	9.90572	+	4.77035i	1.02718	+	0.494662i
$94$	0.360854	+	1.58100i	0.0372193	+	0.163068i
$95$	4.74684	+	2.28596i	0.487016	+	0.234535i
$96$	−11.2118	+	14.0591i	−1.14430	+	1.43490i
$97$	−9.30350			−0.944628			−0.472314	−	0.881430i	$-0.656581\pi$
$97$	−9.30350			−0.944628			−0.472314	+	0.881430i	$0.656581\pi$
$98$	−5.56203	−	2.09701i	−0.561849	−	0.211830i
$99$	26.6798			2.68142
$100$	−1.30969	+	1.64230i	−0.130969	+	0.164230i
$101$	−4.23412	−	2.03905i	−0.421311	−	0.202893i	0.211202	−	0.977442i	$-0.432262\pi$
$101$	−4.23412	−	2.03905i	−0.421311	−	0.202893i	−0.632513	+	0.774550i	$0.717976\pi$
$102$	3.40884	+	14.9351i	0.337526	+	1.47880i
$103$	−11.6813	−	5.62543i	−1.15099	−	0.554290i	−0.241663	−	0.970360i	$-0.577693\pi$
$103$	−11.6813	−	5.62543i	−1.15099	−	0.554290i	−0.909332	+	0.416070i	$0.863407\pi$
$104$	2.50862	−	1.20809i	0.245990	−	0.118463i
$105$	21.3677	−	0.943522i	2.08528	−	0.0920784i
$106$	−2.44234	−	1.17617i	−0.237221	−	0.114240i
$107$	2.57157	+	3.22464i	0.248603	+	0.311738i	0.890438	−	0.455105i	$-0.150398\pi$
$107$	2.57157	+	3.22464i	0.248603	+	0.311738i	−0.641835	+	0.766843i	$0.721827\pi$
$108$	−13.8736	+	6.68117i	−1.33499	+	0.642896i
$109$	10.0770	−	12.6361i	0.965199	−	1.21032i	−0.0124169	−	0.999923i	$-0.503953\pi$
$109$	10.0770	−	12.6361i	0.965199	−	1.21032i	0.977616	−	0.210398i	$-0.0674760\pi$
$110$	−1.89997	+	8.32432i	−0.181155	+	0.793693i
$111$	13.4519	−	16.8681i	1.27679	−	1.60105i
$112$	0.0917506	−	0.503432i	0.00866961	−	0.0475698i
$113$	10.5629	+	13.2455i	0.993675	+	1.24603i	0.969186	+	0.246329i	$0.0792242\pi$
$113$	10.5629	+	13.2455i	0.993675	+	1.24603i	0.0244884	+	0.999700i	$0.492204\pi$
$114$	−4.90572	+	2.36247i	−0.459462	+	0.221265i
$115$	0.519320	−	2.27529i	0.0484268	−	0.212172i
$116$	12.9075			1.19843
$117$	6.83861			0.632230
$118$	2.43128	−	10.6521i	0.223818	−	0.980609i
$119$	−10.0031	−	11.4668i	−0.916980	−	1.05116i
$120$	−5.00873	−	21.9447i	−0.457233	−	2.00327i
$121$	−0.939163	−	4.11474i	−0.0853784	−	0.374067i
$122$	4.02812	+	5.05110i	0.364688	+	0.457305i
$123$	8.71821	+	10.9323i	0.786094	+	0.985731i
$124$	0.997514	+	4.37040i	0.0895794	+	0.392473i
$125$	1.92555	+	8.43637i	0.172226	+	0.754572i
$126$	−9.04025	+	12.4232i	−0.805370	+	1.10674i
$127$	2.05714	−	9.01292i	0.182542	−	0.799768i	−0.797873	−	0.602825i	$-0.794042\pi$
$127$	2.05714	−	9.01292i	0.182542	−	0.799768i	0.980415	−	0.196942i	$-0.0631012\pi$
$128$	−7.66039			−0.677090
$129$	−7.53601			−0.663509
$130$	−0.487003	+	2.13370i	−0.0427130	+	0.187138i
$131$	9.42987	−	4.54119i	0.823891	−	0.396765i	0.0260708	−	0.999660i	$-0.491700\pi$
$131$	9.42987	−	4.54119i	0.823891	−	0.396765i	0.797821	+	0.602895i	$0.205986\pi$
$132$	9.75776	+	12.2358i	0.849304	+	1.06499i
$133$	3.18234	−	4.37320i	0.275944	−	0.379204i
$134$	−2.75888	+	3.45953i	−0.238331	+	0.298857i
$135$	6.90521	−	30.2537i	0.594306	−	2.60382i
$136$	−9.98453	+	12.5202i	−0.856166	+	1.07360i
$137$	−8.83864	+	4.25647i	−0.755136	+	0.363654i	−0.771515	−	0.636211i	$-0.780501\pi$
$137$	−8.83864	+	4.25647i	−0.755136	+	0.363654i	0.0163786	+	0.999866i	$0.494786\pi$
$138$	1.50380	+	1.88571i	0.128012	+	0.160522i
$139$	8.64121	+	4.16139i	0.732938	+	0.352964i	0.762839	−	0.646589i	$-0.223805\pi$
$139$	8.64121	+	4.16139i	0.732938	+	0.352964i	−0.0299011	+	0.999553i	$0.509519\pi$
$140$	5.73277	+	6.57165i	0.484507	+	0.555406i
$141$	−5.39686	+	2.59899i	−0.454498	+	0.218875i
$142$	−10.7816	−	5.19217i	−0.904775	−	0.435717i
$143$	−0.868133	−	3.80354i	−0.0725969	−	0.318068i
$144$	−1.19169	−	0.573889i	−0.0993078	−	0.0478241i
$145$	−16.2180	+	20.3367i	−1.34683	+	1.68887i
$146$	−13.1220			−1.08598
$147$	2.98003	−	21.7534i	0.245789	−	1.79419i
$148$	8.79680			0.723092
$149$	−7.69427	+	9.64831i	−0.630339	+	0.790421i	−0.989758	−	0.142756i	$-0.954404\pi$
$149$	−7.69427	+	9.64831i	−0.630339	+	0.790421i	0.359419	+	0.933176i	$0.382975\pi$
$150$	3.94161	+	1.89818i	0.321831	+	0.154986i
$151$	−2.49954	−	10.9512i	−0.203410	−	0.891198i	−0.968842	−	0.247681i	$-0.920332\pi$
$151$	−2.49954	−	10.9512i	−0.203410	−	0.891198i	0.765432	−	0.643517i	$-0.222525\pi$
$152$	−5.12820	−	2.46961i	−0.415952	−	0.200312i
$153$	−35.4365	+	17.0653i	−2.86487	+	1.37965i
$154$	8.05722	+	3.45099i	0.649269	+	0.278089i
$155$	−8.13926	−	3.91966i	−0.653761	−	0.314835i
$156$	2.50112	+	3.13631i	0.200250	+	0.251106i
$157$	−14.3855	+	6.92771i	−1.14809	+	0.552891i	−0.908459	−	0.417973i	$-0.862741\pi$
$157$	−14.3855	+	6.92771i	−1.14809	+	0.552891i	−0.239631	+	0.970864i	$0.577026\pi$
$158$	1.60529	−	2.01297i	0.127710	−	0.160143i
$159$	2.22812	−	9.76204i	0.176702	−	0.774180i
$160$	9.21241	−	11.5520i	0.728305	−	0.913265i
$161$	−2.20228	−	0.943260i	−0.173564	−	0.0743393i
$162$	9.13341	+	11.4529i	0.717588	+	0.899827i
$163$	−9.75479	+	4.69766i	−0.764054	+	0.367949i	−0.774976	−	0.631991i	$-0.782238\pi$
$163$	−9.75479	+	4.69766i	−0.764054	+	0.367949i	0.0109214	+	0.999940i	$0.496524\pi$
$164$	−1.26865	+	5.55830i	−0.0990647	+	0.434031i
$165$	−31.5390			−2.45530
$166$	9.71513			0.754040
$167$	−3.56937	+	15.6384i	−0.276206	+	1.21014i	0.626342	+	0.779548i	$0.284551\pi$
$167$	−3.56937	+	15.6384i	−0.276206	+	1.21014i	−0.902548	+	0.430589i	$0.858306\pi$
$168$	−23.0844	+	1.01932i	−1.78100	+	0.0786425i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−2.80095	−	12.2718i	−0.214823	−	0.941201i
$171$	−8.71620	−	10.9298i	−0.666544	−	0.835820i
$172$	−1.91577	−	2.40230i	−0.146076	−	0.183173i
$173$	−1.15985	−	5.08164i	−0.0881819	−	0.386350i	0.911507	−	0.411284i	$-0.134920\pi$
$173$	−1.15985	−	5.08164i	−0.0881819	−	0.386350i	−0.999689	+	0.0249339i	$0.992062\pi$
$174$	−5.98185	−	26.2082i	−0.453483	−	1.98684i
$175$	−4.34137	+	0.191700i	−0.328177	+	0.0144911i
$176$	−0.167909	+	0.735656i	−0.0126566	+	0.0554522i
$177$	40.3585			3.03353
$178$	−1.44049			−0.107969
$179$	0.628607	−	2.75411i	0.0469843	−	0.205852i	−0.945987	−	0.324203i	$-0.894904\pi$
$179$	0.628607	−	2.75411i	0.0469843	−	0.205852i	0.992972	+	0.118352i	$0.0377610\pi$
$180$	20.3087	−	9.78014i	1.51372	−	0.728969i
$181$	0.746439	+	0.936005i	0.0554824	+	0.0695727i	0.808798	−	0.588086i	$-0.200118\pi$
$181$	0.746439	+	0.936005i	0.0554824	+	0.0695727i	−0.753316	+	0.657659i	$0.771547\pi$
$182$	2.06524	+	0.884562i	0.153086	+	0.0655681i
$183$	−14.8790	+	18.6576i	−1.09989	+	1.37921i
$184$	−0.561041	+	2.45808i	−0.0413605	+	0.181212i
$185$	−11.0530	+	13.8600i	−0.812634	+	1.01901i
$186$	8.41167	−	4.05085i	0.616773	−	0.297022i
$187$	13.9900	+	17.5429i	1.02305	+	1.28286i
$188$	−2.20046	−	1.05969i	−0.160485	−	0.0772855i
$189$	−29.2829	−	12.5422i	−2.13002	−	0.912310i
$190$	4.03089	−	1.94117i	0.292431	−	0.140828i
$191$	−9.13251	−	4.39798i	−0.660805	−	0.318227i	0.0732532	−	0.997313i	$-0.476662\pi$
$191$	−9.13251	−	4.39798i	−0.660805	−	0.318227i	−0.734058	+	0.679086i	$0.762376\pi$
$192$	3.12792	+	13.7043i	0.225738	+	0.989023i
$193$	4.41364	+	2.12550i	0.317701	+	0.152997i	0.585937	−	0.810357i	$-0.300727\pi$
$193$	4.41364	+	2.12550i	0.317701	+	0.152997i	−0.268237	+	0.963353i	$0.586441\pi$
$194$	−4.92574	+	6.17669i	−0.353648	+	0.443460i
$195$	−8.08411			−0.578915
$196$	7.69203	−	4.58009i	0.549430	−	0.327149i
$197$	−17.2841			−1.23144			−0.615720	−	0.787965i	$-0.711135\pi$
$197$	−17.2841			−1.23144			−0.615720	+	0.787965i	$0.711135\pi$
$198$	14.1256	−	17.7130i	1.00387	−	1.25881i
$199$	11.2140	+	5.40040i	0.794942	+	0.382824i	0.786851	−	0.617143i	$-0.211710\pi$
$199$	11.2140	+	5.40040i	0.794942	+	0.382824i	0.00809145	+	0.999967i	$0.497424\pi$
$200$	1.01765	+	4.45860i	0.0719585	+	0.315271i
$201$	−14.7260	−	7.09166i	−1.03869	−	0.500207i
$202$	−3.59550	+	1.73150i	−0.252978	+	0.121828i
$203$	17.5534	+	20.1221i	1.23201	+	1.41229i
$204$	−20.7868	−	10.0104i	−1.45537	−	0.700869i
$205$	−7.16351	−	8.98275i	−0.500321	−	0.627383i
$206$	−9.91946	+	4.77696i	−0.691121	+	0.332826i
$207$	−3.86097	+	4.84150i	−0.268356	+	0.336507i
$208$	−0.0430386	+	0.188564i	−0.00298419	+	0.0130746i
$209$	−4.97250	+	6.23532i	−0.343955	+	0.431306i
$210$	10.6867	−	14.6858i	0.737455	−	1.01342i
$211$	16.0259	+	20.0959i	1.10327	+	1.38346i	0.916014	+	0.401147i	$0.131388\pi$
$211$	16.0259	+	20.0959i	1.10327	+	1.38346i	0.187257	+	0.982311i	$0.440040\pi$
$212$	3.67832	−	1.77139i	0.252628	−	0.121659i
$213$	9.83596	−	43.0942i	0.673949	−	2.95276i
$214$	3.50239			0.239418
$215$	6.19213			0.422300
$216$	−7.45996	+	32.6842i	−0.507586	+	2.22388i
$217$	−5.45666	+	7.49858i	−0.370422	+	0.509036i
$218$	−3.05399	−	13.3804i	−0.206842	−	0.906235i
$219$	−10.7855	−	47.2545i	−0.728819	−	3.19316i
$220$	−8.01768	−	10.0539i	−0.540552	−	0.677830i
$221$	3.58594	+	4.49662i	0.241216	+	0.302476i
$222$	−4.07680	−	17.8616i	−0.273617	−	1.19879i
$223$	−1.11190	−	4.87154i	−0.0744581	−	0.326222i	0.923957	−	0.382496i	$-0.124935\pi$
$223$	−1.11190	−	4.87154i	−0.0744581	−	0.326222i	−0.998415	+	0.0562733i	$0.982078\pi$
$224$	−9.97100	−	11.4301i	−0.666216	−	0.763704i
$225$	−2.49942	+	10.9507i	−0.166628	+	0.730046i
$226$	14.3863			0.956964
$227$	−19.5201			−1.29559			−0.647796	−	0.761814i	$-0.724309\pi$
$227$	−19.5201			−1.29559			−0.647796	+	0.761814i	$0.724309\pi$
$228$	1.82476	−	7.99481i	0.120848	−	0.529469i
$229$	−10.6567	+	5.13199i	−0.704214	+	0.339132i	−0.751485	−	0.659750i	$-0.770662\pi$
$229$	−10.6567	+	5.13199i	−0.704214	+	0.339132i	0.0472705	+	0.998882i	$0.484948\pi$
$230$	−1.23563	−	1.54943i	−0.0814752	−	0.102167i
$231$	−5.80502	+	31.8519i	−0.381942	+	2.09570i
$232$	17.5209	−	21.9705i	1.15030	−	1.44243i
$233$	2.78273	−	12.1919i	0.182303	−	0.798720i	−0.798228	−	0.602355i	$-0.794229\pi$
$233$	2.78273	−	12.1919i	0.182303	−	0.798720i	0.980531	−	0.196365i	$-0.0629138\pi$
$234$	3.62070	−	4.54022i	0.236693	−	0.296803i
$235$	4.43445	−	2.13552i	0.289272	−	0.139306i
$236$	10.2597	+	12.8653i	0.667853	+	0.837461i
$237$	8.56851	+	4.12638i	0.556585	+	0.268037i
$238$	−12.9091	+	0.570019i	−0.836771	+	0.0369488i
$239$	−11.8792	+	5.72073i	−0.768403	+	0.370043i	−0.776658	−	0.629923i	$-0.783087\pi$
$239$	−11.8792	+	5.72073i	−0.768403	+	0.370043i	0.00825493	+	0.999966i	$0.497372\pi$
$240$	1.40873	+	0.678410i	0.0909334	+	0.0437912i
$241$	1.91571	+	8.39327i	0.123402	+	0.540658i	0.998401	+	0.0565333i	$0.0180047\pi$
$241$	1.91571	+	8.39327i	0.123402	+	0.540658i	−0.874999	+	0.484125i	$0.839138\pi$
$242$	−3.22906	−	1.55503i	−0.207572	−	0.0999612i
$243$	−11.2156	+	14.0639i	−0.719481	+	0.902201i
$244$	−9.73006			−0.622903
$245$	−2.44861	+	17.8742i	−0.156436	+	1.14194i
$246$	11.8739			0.757053
$247$	−1.27456	+	1.59824i	−0.0810981	+	0.101694i
$248$	8.79315	+	4.23456i	0.558365	+	0.268895i
$249$	7.98528	+	34.9858i	0.506047	+	2.21714i
$250$	6.62047	+	3.18825i	0.418715	+	0.201643i
$251$	9.29958	−	4.47844i	0.586984	−	0.282677i	−0.116726	−	0.993164i	$-0.537240\pi$
$251$	9.29958	−	4.47844i	0.586984	−	0.282677i	0.703710	+	0.710488i	$0.251526\pi$
$252$	−6.13920	−	22.3103i	−0.386733	−	1.40542i
$253$	3.18291	+	1.53281i	0.200108	+	0.0963668i
$254$	−4.89461	−	6.13765i	−0.307115	−	0.385110i
$255$	41.8905	−	20.1734i	2.62328	−	1.26331i
$256$	−9.64406	+	12.0933i	−0.602754	+	0.755829i
$257$	5.06157	−	22.1762i	0.315732	−	1.38331i	−0.529226	−	0.848481i	$-0.677518\pi$
$257$	5.06157	−	22.1762i	0.315732	−	1.38331i	0.844958	−	0.534832i	$-0.179625\pi$
$258$	−3.98995	+	5.00323i	−0.248403	+	0.311488i
$259$	11.9632	+	13.7138i	0.743355	+	0.852131i
$260$	−2.05510	−	2.57702i	−0.127452	−	0.159820i
$261$	62.1841	−	29.9463i	3.84910	−	1.85363i
$262$	1.97771	−	8.66491i	0.122183	−	0.535320i
$263$	23.9291			1.47553			0.737765	−	0.675058i	$-0.235881\pi$
$263$	23.9291			1.47553			0.737765	+	0.675058i	$0.235881\pi$
$264$	34.0727			2.09703
$265$	−1.83078	+	8.02119i	−0.112464	+	0.492738i
$266$	−1.21852	−	4.42818i	−0.0747120	−	0.271509i
$267$	−1.18400	−	5.18745i	−0.0724598	−	0.317467i
$268$	−1.48292	−	6.49709i	−0.0905836	−	0.396873i
$269$	20.3262	+	25.4882i	1.23931	+	1.55405i	0.706237	+	0.707976i	$0.250391\pi$
$269$	20.3262	+	25.4882i	1.23931	+	1.55405i	0.533073	+	0.846069i	$0.321037\pi$
$270$	−16.4298	−	20.6023i	−0.999883	−	1.25381i
$271$	−0.322141	−	1.41139i	−0.0195687	−	0.0857360i	0.964201	−	0.265174i	$-0.0854293\pi$
$271$	−0.322141	−	1.41139i	−0.0195687	−	0.0857360i	−0.983769	+	0.179438i	$0.942572\pi$
$272$	−0.247532	−	1.08451i	−0.0150088	−	0.0657580i
$273$	−1.48795	+	8.16433i	−0.0900549	+	0.494128i
$274$	−1.85371	+	8.12165i	−0.111987	+	0.490647i
$275$	6.40791			0.386412
$276$	−3.63249			−0.218650
$277$	−4.18453	+	18.3336i	−0.251424	+	1.10156i	0.678729	+	0.734389i	$0.262531\pi$
$277$	−4.18453	+	18.3336i	−0.251424	+	1.10156i	−0.930153	+	0.367172i	$0.880326\pi$
$278$	7.33788	−	3.53373i	0.440097	−	0.211939i
$279$	14.9454	+	18.7409i	0.894756	+	1.12199i
$280$	18.9678	−	0.837549i	1.13354	−	0.0500531i
$281$	−9.79831	+	12.2867i	−0.584518	+	0.732963i	−0.982876	−	0.184267i	$-0.941009\pi$
$281$	−9.79831	+	12.2867i	−0.584518	+	0.732963i	0.398358	+	0.917230i	$0.369580\pi$
$282$	−1.13187	+	4.95907i	−0.0674022	+	0.295308i
$283$	−5.26640	+	6.60386i	−0.313055	+	0.392559i	−0.913320	−	0.407243i	$-0.866490\pi$
$283$	−5.26640	+	6.60386i	−0.313055	+	0.392559i	0.600265	+	0.799801i	$0.295062\pi$
$284$	16.2378	−	7.81972i	0.963537	−	0.464015i
$285$	10.3037	+	12.9204i	0.610336	+	0.765337i
$286$	−2.98484	−	1.43742i	−0.176497	−	0.0849966i
$287$	−10.3904	+	5.58124i	−0.613326	+	0.329450i
$288$	−35.3229	+	17.0106i	−2.08142	+	1.00236i
$289$	−14.4863	−	6.97622i	−0.852134	−	0.410366i
$290$	4.91512	+	21.5345i	0.288626	+	1.26455i
$291$	−26.2920	−	12.6615i	−1.54126	−	0.742233i
$292$	12.3217	−	15.4510i	0.721075	−	0.904200i
$293$	6.54088			0.382122			0.191061	−	0.981578i	$-0.438807\pi$
$293$	6.54088			0.382122			0.191061	+	0.981578i	$0.438807\pi$
$294$	−12.8645	−	13.4958i	−0.750274	−	0.787093i
$295$	−33.1615			−1.93074
$296$	11.9410	−	14.9735i	0.694056	−	0.870318i
$297$	42.3219	+	20.3812i	2.45577	+	1.18264i
$298$	2.33187	+	10.2166i	0.135082	+	0.591832i
$299$	0.815847	+	0.392891i	0.0471817	+	0.0227215i
$300$	−5.93631	+	2.85878i	−0.342733	+	0.165051i
$301$	1.13972	−	6.25358i	0.0656921	−	0.360450i
$302$	−8.59401	−	4.13866i	−0.494530	−	0.238153i
$303$	−9.19072	−	11.5248i	−0.527993	−	0.662083i
$304$	0.356227	−	0.171550i	0.0204310	−	0.00983906i
$305$	12.2256	−	15.3305i	0.700038	−	0.877819i
$306$	−7.43203	+	32.5619i	−0.424861	+	1.86144i
$307$	−10.2943	+	12.9087i	−0.587527	+	0.736736i	−0.983376	−	0.181580i	$-0.941879\pi$
$307$	−10.2943	+	12.9087i	−0.587527	+	0.736736i	0.395849	+	0.918316i	$0.370450\pi$
$308$	−11.6293	+	6.24674i	−0.662643	+	0.355941i
$309$	−25.3559	−	31.7952i	−1.44244	−	1.80877i
$310$	−6.91163	+	3.32847i	−0.392554	+	0.189044i
$311$	−3.37406	+	14.7827i	−0.191326	+	0.838252i	0.784575	+	0.620034i	$0.212881\pi$
$311$	−3.37406	+	14.7827i	−0.191326	+	0.838252i	−0.975900	+	0.218218i	$0.929976\pi$
$312$	8.73357			0.494441
$313$	−24.6594			−1.39383			−0.696916	−	0.717153i	$-0.745445\pi$
$313$	−24.6594			−1.39383			−0.696916	+	0.717153i	$0.745445\pi$
$314$	−3.01705	+	13.2186i	−0.170262	+	0.745967i
$315$	42.8654	+	18.3597i	2.41519	+	1.03445i
$316$	0.862856	+	3.78042i	0.0485394	+	0.212665i
$317$	2.44435	+	10.7094i	0.137288	+	0.601498i	0.996024	+	0.0890807i	$0.0283929\pi$
$317$	2.44435	+	10.7094i	0.137288	+	0.601498i	−0.858736	+	0.512418i	$0.828750\pi$
$318$	−5.30143	−	6.64779i	−0.297290	−	0.372789i
$319$	−24.5497	−	30.7844i	−1.37452	−	1.72359i
$320$	−2.57012	−	11.2604i	−0.143674	−	0.629478i
$321$	2.87876	+	12.6127i	0.160677	+	0.703972i
$322$	−1.79224	+	0.962707i	−0.0998776	+	0.0536496i
$323$	2.61622	−	11.4624i	0.145570	−	0.637785i
$324$	−22.0621			−1.22567
$325$	1.64248			0.0911086
$326$	−2.04586	+	8.96348i	−0.113309	+	0.496441i
$327$	45.6749	−	21.9959i	2.52583	−	1.21637i
$328$	7.73901	+	9.70441i	0.427315	+	0.535836i
$329$	−1.34051	−	4.87152i	−0.0739048	−	0.268575i
$330$	−16.6983	+	20.9390i	−0.919212	+	1.15266i
$331$	−3.03869	+	13.3134i	−0.167022	+	0.731770i	0.820155	+	0.572141i	$0.193887\pi$
$331$	−3.03869	+	13.3134i	−0.167022	+	0.731770i	−0.987177	+	0.159629i	$0.948970\pi$
$332$	−9.12264	+	11.4394i	−0.500670	+	0.627820i
$333$	42.3802	−	20.4093i	2.32242	−	1.11842i
$334$	8.49270	+	10.6495i	0.464700	+	0.582715i
$335$	12.0999	+	5.82701i	0.661089	+	0.318364i
$336$	0.944432	−	1.29785i	0.0515230	−	0.0708033i
$337$	9.79608	−	4.71754i	0.533626	−	0.256981i	−0.147609	−	0.989046i	$-0.547158\pi$
$337$	9.79608	−	4.71754i	0.533626	−	0.256981i	0.681235	+	0.732065i	$0.261443\pi$
$338$	−0.765078	−	0.368442i	−0.0416148	−	0.0200406i
$339$	11.8247	+	51.8076i	0.642232	+	2.81380i
$340$	17.0800	+	8.22528i	0.926291	+	0.446078i
$341$	8.52618	−	10.6915i	0.461718	−	0.578976i
$342$	−11.8712			−0.641919
$343$	17.6009	+	5.76280i	0.950357	+	0.311162i
$344$	−6.68959			−0.360679
$345$	4.56416	−	5.72327i	0.245726	−	0.308130i
$346$	−3.98784	−	1.92044i	−0.214387	−	0.103244i
$347$	−1.58739	−	6.95480i	−0.0852154	−	0.373353i	0.914281	−	0.405080i	$-0.132756\pi$
$347$	−1.58739	−	6.95480i	−0.0852154	−	0.373353i	−0.999497	+	0.0317271i	$0.989899\pi$
$348$	36.4769	+	17.5663i	1.95536	+	0.941654i
$349$	23.0618	−	11.1060i	1.23447	−	0.594490i	0.301165	−	0.953572i	$-0.402625\pi$
$349$	23.0618	−	11.1060i	1.23447	−	0.594490i	0.933306	+	0.359082i	$0.116910\pi$
$350$	−2.17127	+	2.98378i	−0.116059	+	0.159490i
$351$	10.8480	+	5.22413i	0.579024	+	0.278843i
$352$	13.9451	+	17.4867i	0.743279	+	0.932042i
$353$	−6.72274	+	3.23750i	−0.357815	+	0.172315i	−0.604151	−	0.796870i	$-0.706488\pi$
$353$	−6.72274	+	3.23750i	−0.357815	+	0.172315i	0.246336	+	0.969185i	$0.420773\pi$
$354$	21.3678	−	26.7944i	1.13569	−	1.42411i
$355$	−8.08194	+	35.4093i	−0.428945	+	1.87933i
$356$	1.35264	−	1.69616i	0.0716899	−	0.0898963i
$357$	−12.6633	−	46.0192i	−0.670211	−	2.43560i
$358$	−1.49566	−	1.87550i	−0.0790482	−	0.0991233i
$359$	−26.7313	+	12.8731i	−1.41082	+	0.679416i	−0.975325	−	0.220773i	$-0.929142\pi$
$359$	−26.7313	+	12.8731i	−1.41082	+	0.679416i	−0.435498	+	0.900190i	$0.643428\pi$
$360$	10.9202	−	47.8443i	0.575543	−	2.52162i
$361$	−14.8211			−0.780059
$362$	1.01662			0.0534326
$363$	2.94583	−	12.9065i	0.154616	−	0.677417i
$364$	−2.98085	+	1.60117i	−0.156239	+	0.0839243i
$365$	8.86217	+	38.8277i	0.463867	+	2.03234i
$366$	4.50931	+	19.7566i	0.235706	+	1.03269i
$367$	−1.31681	−	1.65122i	−0.0687367	−	0.0861931i	0.746274	−	0.665638i	$-0.231841\pi$
$367$	−1.31681	−	1.65122i	−0.0687367	−	0.0861931i	−0.815011	+	0.579445i	$0.803269\pi$
$368$	−0.109198	−	0.136930i	−0.00569235	−	0.00713798i
$369$	6.78375	+	29.7215i	0.353148	+	1.54724i
$370$	3.34979	+	14.6764i	0.174147	+	0.762990i
$371$	7.76382	+	3.32532i	0.403077	+	0.172642i
$372$	−3.12886	+	13.7084i	−0.162224	+	0.710749i
$373$	27.5262			1.42525			0.712626	−	0.701544i	$-0.247506\pi$
$373$	27.5262			1.42525			0.712626	+	0.701544i	$0.247506\pi$
$374$	19.0539			0.985255
$375$	−6.03978	+	26.4620i	−0.311893	+	1.36649i
$376$	−4.79071	+	2.30708i	−0.247062	+	0.118979i
$377$	−6.29262	−	7.89069i	−0.324086	−	0.406391i
$378$	−23.8307	+	12.8008i	−1.22572	+	0.658400i
$379$	4.67230	−	5.85888i	0.240000	−	0.300951i	−0.647214	−	0.762308i	$-0.724066\pi$
$379$	4.67230	−	5.85888i	0.240000	−	0.300951i	0.887214	+	0.461358i	$0.152637\pi$
$380$	−1.49936	+	6.56911i	−0.0769153	+	0.336988i
$381$	18.0796	−	22.6711i	0.926247	−	1.16148i
$382$	−7.75508	+	3.73465i	−0.396784	+	0.191081i
$383$	−10.1453	−	12.7218i	−0.518402	−	0.650055i	0.451867	−	0.892085i	$-0.350758\pi$
$383$	−10.1453	−	12.7218i	−0.518402	−	0.650055i	−0.970269	+	0.242030i	$0.922187\pi$
$384$	−21.6485	−	10.4254i	−1.10475	−	0.532017i
$385$	4.76982	−	26.1718i	0.243093	−	1.33384i
$386$	3.74794	−	1.80491i	0.190765	−	0.0918676i
$387$	−14.8031	−	7.12879i	−0.752483	−	0.362377i
$388$	−2.64762	−	11.6000i	−0.134413	−	0.588900i
$389$	−22.8541	−	11.0060i	−1.15875	−	0.558025i	−0.247099	−	0.968990i	$-0.579477\pi$
$389$	−22.8541	−	11.0060i	−1.15875	−	0.558025i	−0.911651	+	0.410966i	$0.865192\pi$
$390$	−4.28013	+	5.36712i	−0.216733	+	0.271775i
$391$	−5.20802			−0.263381
$392$	2.64532	−	19.3101i	0.133609	−	0.975310i
$393$	32.8294			1.65602
$394$	−9.15106	+	11.4751i	−0.461024	+	0.578105i
$395$	−7.04050	−	3.39053i	−0.354246	−	0.170596i
$396$	7.59264	+	33.2655i	0.381544	+	1.67165i
$397$	−10.8463	−	5.22331i	−0.544361	−	0.262151i	0.141431	−	0.989948i	$-0.454830\pi$
$397$	−10.8463	−	5.22331i	−0.544361	−	0.262151i	−0.685792	+	0.727798i	$0.740544\pi$
$398$	9.52265	−	4.58587i	0.477328	−	0.229869i
$399$	14.9451	−	8.02779i	0.748189	−	0.401892i
$400$	−0.286219	−	0.137836i	−0.0143109	−	0.00689178i
$401$	−6.83869	−	8.57545i	−0.341508	−	0.428238i	0.581186	−	0.813771i	$-0.302589\pi$
$401$	−6.83869	−	8.57545i	−0.341508	−	0.428238i	−0.922694	+	0.385533i	$0.874017\pi$
$402$	−12.5049	+	6.02204i	−0.623687	+	0.300352i
$403$	2.18544	−	2.74046i	0.108865	−	0.136512i
$404$	1.33741	−	5.85956i	0.0665384	−	0.291524i
$405$	27.7206	−	34.7605i	1.37745	−	1.72726i
$406$	22.6529	−	1.00027i	1.12424	−	0.0496427i
$407$	−16.7313	−	20.9804i	−0.829342	−	1.03996i
$408$	−45.2559	+	21.7941i	−2.24050	+	1.07897i
$409$	−3.12761	+	13.7030i	−0.154650	+	0.677567i	0.836847	+	0.547437i	$0.184397\pi$
$409$	−3.12761	+	13.7030i	−0.154650	+	0.677567i	−0.991497	+	0.130130i	$0.958461\pi$
$410$	−9.75646			−0.481837
$411$	−30.7711			−1.51782
$412$	3.68971	−	16.1657i	0.181779	−	0.796425i
$413$	−6.10366	+	33.4905i	−0.300342	+	1.64796i
$414$	1.17013	+	5.12667i	0.0575087	+	0.251962i
$415$	−6.56128	−	28.7469i	−0.322081	−	1.41113i
$416$	3.57444	+	4.48220i	0.175251	+	0.219758i
$417$	18.7569	+	23.5204i	0.918529	+	1.15180i
$418$	1.50700	+	6.60258i	0.0737096	+	0.322943i
$419$	−8.87730	−	38.8940i	−0.433685	−	1.90010i	−0.435686	−	0.900099i	$-0.643494\pi$
$419$	−8.87730	−	38.8940i	−0.433685	−	1.90010i	0.00200102	−	0.999998i	$-0.499363\pi$
$420$	7.25732	+	26.3736i	0.354121	+	1.28690i
$421$	−1.37818	+	6.03821i	−0.0671685	+	0.294284i	−0.997344	−	0.0728297i	$-0.976797\pi$
$421$	−1.37818	+	6.03821i	−0.0671685	+	0.294284i	0.930176	+	0.367114i	$0.119654\pi$
$422$	21.8268			1.06251
$423$	−13.0597			−0.634983
$424$	1.97787	−	8.66560i	0.0960537	−	0.420839i
$425$	−8.51107	+	4.09872i	−0.412848	+	0.198817i
$426$	−23.4030	−	29.3464i	−1.13388	−	1.42184i
$427$	−13.2324	−	15.1687i	−0.640358	−	0.734063i
$428$	−3.28879	+	4.12402i	−0.158970	+	0.199342i
$429$	2.72303	−	11.9304i	0.131469	−	0.576005i
$430$	3.27843	−	4.11102i	0.158100	−	0.198251i
$431$	22.1566	−	10.6700i	1.06724	−	0.513958i	0.184026	−	0.982921i	$-0.441087\pi$
$431$	22.1566	−	10.6700i	1.06724	−	0.513958i	0.883217	+	0.468964i	$0.155372\pi$
$432$	−1.45197	−	1.82071i	−0.0698578	−	0.0875990i
$433$	−30.8807	−	14.8714i	−1.48403	−	0.714672i	−0.495914	−	0.868372i	$-0.665167\pi$
$433$	−30.8807	−	14.8714i	−1.48403	−	0.714672i	−0.988118	+	0.153700i	$0.950881\pi$
$434$	2.08935	+	7.59285i	0.100292	+	0.364468i
$435$	−73.5096	+	35.4003i	−3.52451	+	1.69732i
$436$	18.6230	+	8.96835i	0.891879	+	0.429506i
$437$	−0.411908	−	1.80469i	−0.0197042	−	0.0863298i
$438$	−37.0831	−	17.8583i	−1.77190	−	0.853303i
$439$	−21.2709	+	26.6729i	−1.01521	+	1.27303i	−0.0536089	+	0.998562i	$0.517072\pi$
$439$	−21.2709	+	26.6729i	−1.01521	+	1.27303i	−0.961597	+	0.274466i	$0.911499\pi$
$440$	−27.9966			−1.33469
$441$	26.4316	−	39.9115i	1.25865	−	1.90055i
$442$	4.88393			0.232305
$443$	4.10529	−	5.14787i	0.195048	−	0.244582i	−0.674684	−	0.738107i	$-0.735720\pi$
$443$	4.10529	−	5.14787i	0.195048	−	0.244582i	0.869732	+	0.493524i	$0.164292\pi$
$444$	24.8600	+	11.9720i	1.17980	+	0.568164i
$445$	0.972862	+	4.26238i	0.0461181	+	0.202056i
$446$	−3.82296	−	1.84104i	−0.181022	−	0.0871757i
$447$	−34.8751	+	16.7949i	−1.64953	+	0.794373i
$448$	−11.8452	+	0.523043i	−0.559635	+	0.0247115i
$449$	28.7440	+	13.8424i	1.35651	+	0.653262i	0.963856	−	0.266423i	$-0.0858419\pi$
$449$	28.7440	+	13.8424i	1.35651	+	0.653262i	0.392656	+	0.919685i	$0.371556\pi$
$450$	5.94695	+	7.45724i	0.280342	+	0.351537i
$451$	15.6695	−	7.54605i	0.737850	−	0.355330i
$452$	−13.5090	+	16.9397i	−0.635408	+	0.796777i
$453$	7.84021	−	34.3502i	0.368365	−	1.61391i
$454$	−10.3349	+	12.9596i	−0.485041	+	0.608223i
$455$	1.22261	−	6.70840i	0.0573167	−	0.314495i
$456$	−11.1314	−	13.9584i	−0.521277	−	0.653661i
$457$	7.62582	−	3.67240i	0.356721	−	0.171788i	−0.246936	−	0.969032i	$-0.579424\pi$
$457$	7.62582	−	3.67240i	0.356721	−	0.171788i	0.603657	+	0.797244i	$0.293710\pi$
$458$	−2.23501	+	9.79222i	−0.104435	+	0.457560i
$459$	−69.2490			−3.23227
$460$	2.98472			0.139163
$461$	−5.15066	+	22.5665i	−0.239890	+	1.05103i	0.701224	+	0.712941i	$0.252637\pi$
$461$	−5.15066	+	22.5665i	−0.239890	+	1.05103i	−0.941115	+	0.338087i	$0.890220\pi$
$462$	18.0733	+	20.7180i	0.840848	+	0.963890i
$463$	−4.37067	−	19.1491i	−0.203122	−	0.889936i	−0.969022	−	0.246976i	$-0.920563\pi$
$463$	−4.37067	−	19.1491i	−0.203122	−	0.889936i	0.765900	−	0.642960i	$-0.222294\pi$
$464$	0.434370	+	1.90310i	0.0201651	+	0.0883492i
$465$	−17.6673	−	22.1541i	−0.819303	−	1.02737i
$466$	−6.62103	−	8.30251i	−0.306713	−	0.384606i
$467$	0.532607	+	2.33350i	0.0246461	+	0.107982i	0.985755	−	0.168189i	$-0.0537918\pi$
$467$	0.532607	+	2.33350i	0.0246461	+	0.107982i	−0.961109	+	0.276170i	$0.910935\pi$
$468$	1.94615	+	8.52666i	0.0899610	+	0.394145i
$469$	8.11193	−	11.1475i	0.374574	−	0.514743i
$470$	0.930030	−	4.07473i	0.0428991	−	0.187953i
$471$	−50.0821			−2.30766
$472$	35.8256			1.64901
$473$	−2.08574	+	9.13824i	−0.0959026	+	0.420177i
$474$	7.27614	−	3.50401i	0.334204	−	0.160944i
$475$	−2.09344	−	2.62509i	−0.0960536	−	0.120447i
$476$	11.4506	−	15.7355i	0.524838	−	0.721236i
$477$	13.6113	−	17.0680i	0.623217	−	0.781489i
$478$	−2.49141	+	10.9156i	−0.113954	+	0.499267i
$479$	4.10126	−	5.14282i	0.187392	−	0.234982i	−0.679257	−	0.733900i	$-0.737698\pi$
$479$	4.10126	−	5.14282i	0.187392	−	0.234982i	0.866649	+	0.498919i	$0.166269\pi$
$480$	41.7561	−	20.1087i	1.90590	−	0.917832i
$481$	−4.28860	−	5.37773i	−0.195543	−	0.245203i
$482$	6.58664	+	3.17196i	0.300013	+	0.144479i
$483$	−4.93999	−	5.66286i	−0.224777	−	0.257669i
$484$	4.86316	−	2.34197i	0.221053	−	0.106453i
$485$	21.6034	+	10.4036i	0.980959	+	0.472405i
$486$	3.39907	+	14.8923i	0.154185	+	0.675528i
$487$	11.1281	+	5.35899i	0.504260	+	0.242839i	0.668678	−	0.743552i	$-0.266860\pi$
$487$	11.1281	+	5.35899i	0.504260	+	0.242839i	−0.164418	+	0.986391i	$0.552575\pi$
$488$	−13.2078	+	16.5621i	−0.597890	+	0.749730i
$489$	−33.9606			−1.53575
$490$	10.5704	+	11.0891i	0.477523	+	0.500956i
$491$	16.4427			0.742050			0.371025	−	0.928623i	$-0.379006\pi$
$491$	16.4427			0.742050			0.371025	+	0.928623i	$0.379006\pi$
$492$	−11.1498	+	13.9814i	−0.502671	+	0.630329i
$493$	52.2980	+	25.1854i	2.35538	+	1.13429i
$494$	0.386275	+	1.69238i	0.0173793	+	0.0761439i
$495$	−61.9524	−	29.8347i	−2.78455	−	1.34097i
$496$	−0.610810	+	0.294151i	−0.0274262	+	0.0132078i
$497$	34.2731	+	14.6795i	1.53736	+	0.658467i
$498$	27.4552	+	13.2217i	1.23030	+	0.592480i
$499$	5.72135	+	7.17434i	0.256123	+	0.321168i	0.893224	−	0.449613i	$-0.148438\pi$
$499$	5.72135	+	7.17434i	0.256123	+	0.321168i	−0.637101	+	0.770780i	$0.719867\pi$
$500$	−9.97084	+	4.80170i	−0.445910	+	0.214739i
$501$	−31.3702	+	39.3369i	−1.40152	+	1.75744i
$502$	1.95038	−	8.54519i	0.0870499	−	0.381391i
$503$	3.12736	−	3.92159i	0.139442	−	0.174855i	−0.707207	−	0.707007i	$-0.750045\pi$
$503$	3.12736	−	3.92159i	0.139442	−	0.174855i	0.846649	+	0.532152i	$0.178616\pi$
$504$	−46.3091	−	19.8347i	−2.06277	−	0.883507i
$505$	7.55176	+	9.46961i	0.336049	+	0.421392i
$506$	2.70284	−	1.30162i	0.120156	−	0.0578640i
$507$	0.697972	−	3.05801i	0.0309980	−	0.135811i
$508$	11.8231			0.524566
$509$	−19.3891			−0.859407			−0.429704	−	0.902970i	$-0.641382\pi$
$509$	−19.3891			−0.859407			−0.429704	+	0.902970i	$0.641382\pi$
$510$	8.78561	−	38.4923i	0.389033	−	1.70447i
$511$	40.8442	−	1.80353i	1.80684	−	0.0797836i
$512$	−0.486408	−	2.13109i	−0.0214964	−	0.0941818i
$513$	−5.47698	−	23.9962i	−0.241815	−	1.05946i
$514$	−12.0431	−	15.1016i	−0.531200	−	0.666104i
$515$	20.8342	+	26.1253i	0.918065	+	1.15122i
$516$	−2.14462	−	9.39621i	−0.0944118	−	0.413645i
$517$	1.65787	+	7.26361i	0.0729131	+	0.319453i
$518$	15.4386	−	0.681714i	0.678333	−	0.0299528i
$519$	3.63806	−	15.9394i	0.159693	−	0.699661i
$520$	−7.17613			−0.314694
$521$	−0.915188			−0.0400951			−0.0200476	−	0.999799i	$-0.506382\pi$
$521$	−0.915188			−0.0400951			−0.0200476	+	0.999799i	$0.506382\pi$
$522$	13.0418	−	57.1397i	0.570823	−	2.50094i
$523$	20.0432	−	9.65231i	0.876429	−	0.422066i	0.0591101	−	0.998251i	$-0.481174\pi$
$523$	20.0432	−	9.65231i	0.876429	−	0.422066i	0.817319	+	0.576185i	$0.195459\pi$
$524$	8.34572	+	10.4652i	0.364585	+	0.457175i
$525$	−12.5297	−	5.36662i	−0.546843	−	0.234218i
$526$	12.6693	−	15.8867i	0.552406	−	0.692695i
$527$	−4.48594	+	19.6542i	−0.195411	+	0.856150i
$528$	−1.47570	+	1.85047i	−0.0642217	+	0.0805314i
$529$	19.9835	−	9.62355i	0.868849	−	0.418415i
$530$	4.35604	+	5.46230i	0.189214	+	0.237267i
$531$	79.2768	+	38.1777i	3.44032	+	1.65677i
$532$	6.35833	+	2.72334i	0.275668	+	0.118072i
$533$	4.01644	−	1.93421i	0.173971	−	0.0837801i
$534$	−4.07087	−	1.96043i	−0.176164	−	0.0848360i
$535$	−2.36540	−	10.3635i	−0.102265	−	0.448053i
$536$	−13.0720	−	6.29514i	−0.564625	−	0.271909i
$537$	5.52465	−	6.92769i	0.238406	−	0.298952i
$538$	27.6836			1.19352
$539$	−25.5536	−	9.63431i	−1.10067	−	0.414979i
$540$	39.6867			1.70784
$541$	−0.431555	+	0.541152i	−0.0185540	+	0.0232660i	−0.791022	−	0.611788i	$-0.790451\pi$
$541$	−0.431555	+	0.541152i	−0.0185540	+	0.0232660i	0.772468	+	0.635054i	$0.219022\pi$
$542$	−1.10760	−	0.533390i	−0.0475753	−	0.0229111i
$543$	0.835608	+	3.66104i	0.0358594	+	0.157110i
$544$	−29.7072	−	14.3062i	−1.27369	−	0.613374i
$545$	−37.5298	+	18.0734i	−1.60760	+	0.774178i
$546$	4.63258	+	5.31047i	0.198256	+	0.227267i
$547$	−13.3427	−	6.42550i	−0.570492	−	0.274734i	0.126318	−	0.991990i	$-0.459684\pi$
$547$	−13.3427	−	6.42550i	−0.570492	−	0.274734i	−0.696811	+	0.717255i	$0.745398\pi$
$548$	−7.82247	−	9.80907i	−0.334159	−	0.419023i
$549$	−46.8764	+	22.5745i	−2.00064	+	0.963455i
$550$	3.39267	−	4.25427i	0.144664	−	0.181403i
$551$	−4.59095	+	20.1143i	−0.195581	+	0.856897i
$552$	−4.93083	+	6.18307i	−0.209870	+	0.263169i
$553$	−4.72004	+	6.48631i	−0.200717	+	0.275826i
$554$	9.95638	+	12.4849i	0.423006	+	0.530433i
$555$	−50.0989	+	24.1263i	−2.12658	+	1.02411i
$556$	−2.72944	+	11.9585i	−0.115754	+	0.507152i
$557$	39.4716			1.67247			0.836233	−	0.548375i	$-0.184753\pi$
$557$	39.4716			1.67247			0.836233	+	0.548375i	$0.184753\pi$
$558$	20.3551			0.861700
$559$	−0.534621	+	2.34233i	−0.0226120	+	0.0990698i
$560$	−0.776013	+	1.06640i	−0.0327926	+	0.0450638i
$561$	15.6612	+	68.6164i	0.661218	+	2.89699i
$562$	2.96954	+	13.0104i	0.125262	+	0.548810i
$563$	−6.09451	−	7.64227i	−0.256853	−	0.322083i	0.636640	−	0.771161i	$-0.280324\pi$
$563$	−6.09451	−	7.64227i	−0.256853	−	0.322083i	−0.893492	+	0.449078i	$0.851752\pi$
$564$	−4.77639	−	5.98940i	−0.201122	−	0.252199i
$565$	−9.71606	−	42.5688i	−0.408758	−	1.79088i
$566$	1.59607	+	6.99283i	0.0670877	+	0.293931i
$567$	−30.0032	−	34.3936i	−1.26002	−	1.44440i
$568$	8.73122	−	38.2540i	0.366354	−	1.60510i
$569$	21.0347			0.881819			0.440910	−	0.897552i	$-0.354656\pi$
$569$	21.0347			0.881819			0.440910	+	0.897552i	$0.354656\pi$
$570$	14.0332			0.587788
$571$	2.43219	−	10.6561i	0.101784	−	0.445944i	−0.898196	−	0.439595i	$-0.855122\pi$
$571$	2.43219	−	10.6561i	0.101784	−	0.445944i	0.999980	−	0.00634901i	$-0.00202097\pi$
$572$	4.49535	−	2.16485i	0.187960	−	0.0905168i
$573$	−19.8233	−	24.8577i	−0.828131	−	1.03844i
$574$	−1.79576	+	9.85328i	−0.0749536	+	0.411268i
$575$	−0.927320	+	1.16282i	−0.0386719	+	0.0484930i
$576$	−6.81956	+	29.8784i	−0.284148	+	1.24493i
$577$	−2.14395	+	2.68843i	−0.0892538	+	0.111921i	−0.824453	−	0.565930i	$-0.808517\pi$
$577$	−2.14395	+	2.68843i	−0.0892538	+	0.111921i	0.735199	+	0.677851i	$0.237089\pi$
$578$	−12.3013	+	5.92402i	−0.511669	+	0.246407i
$579$	9.58039	+	12.0134i	0.398147	+	0.499261i
$580$	−29.9720	−	14.4338i	−1.24452	−	0.599329i
$581$	−30.2398	+	1.33528i	−1.25456	+	0.0553968i
$582$	−22.3264	+	10.7518i	−0.925460	+	0.445678i
$583$	−11.2209	−	5.40368i	−0.464721	−	0.223798i
$584$	−9.57414	−	41.9470i	−0.396181	−	1.73578i
$585$	−15.8797	−	7.64727i	−0.656545	−	0.316176i
$586$	3.46307	−	4.34255i	0.143058	−	0.179389i
$587$	33.3670			1.37720			0.688601	−	0.725140i	$-0.258225\pi$
$587$	33.3670			1.37720			0.688601	+	0.725140i	$0.258225\pi$
$588$	27.9711	−	2.47504i	1.15351	−	0.102069i
$589$	−7.16539			−0.295245
$590$	−17.5574	+	22.0162i	−0.722825	+	0.906394i
$591$	−48.8453	−	23.5227i	−2.00923	−	0.967593i
$592$	0.296036	+	1.29702i	0.0121670	+	0.0533071i
$593$	24.7312	+	11.9099i	1.01559	+	0.489082i	0.866201	−	0.499696i	$-0.166555\pi$
$593$	24.7312	+	11.9099i	1.01559	+	0.489082i	0.149389	+	0.988778i	$0.452269\pi$
$594$	35.9386	−	17.3071i	1.47458	−	0.710120i
$595$	10.4050	+	37.8127i	0.426565	+	1.55017i
$596$	−14.2196	−	6.84779i	−0.582457	−	0.280496i
$597$	24.3416	+	30.5234i	0.996234	+	1.24924i
$598$	0.692795	−	0.333632i	0.0283305	−	0.0136432i
$599$	9.87559	−	12.3836i	0.403506	−	0.505980i	−0.538015	−	0.842935i	$-0.680826\pi$
$599$	9.87559	−	12.3836i	0.403506	−	0.505980i	0.941521	+	0.336955i	$0.109397\pi$
$600$	−3.19201	+	13.9851i	−0.130313	+	0.570939i
$601$	−9.56955	+	11.9998i	−0.390350	+	0.489483i	−0.937713	−	0.347412i	$-0.887060\pi$
$601$	−9.56955	+	11.9998i	−0.390350	+	0.489483i	0.547362	+	0.836896i	$0.315632\pi$
$602$	−3.54839	−	4.06763i	−0.144621	−	0.165784i
$603$	−22.2180	−	27.8605i	−0.904786	−	1.13457i
$604$	12.9431	−	6.23307i	0.526648	−	0.253620i
$605$	−2.42051	+	10.6049i	−0.0984075	+	0.431152i
$606$	−12.5175			−0.508487
$607$	−35.6038			−1.44511			−0.722556	−	0.691312i	$-0.757033\pi$
$607$	−35.6038			−1.44511			−0.722556	+	0.691312i	$0.757033\pi$
$608$	2.60783	−	11.4257i	0.105761	−	0.463371i
$609$	22.2216	+	80.7548i	0.900463	+	3.27235i
$610$	−3.70517	−	16.2334i	−0.150018	−	0.657272i
$611$	0.424948	+	1.86182i	0.0171916	+	0.0753211i
$612$	−31.3624	−	39.3272i	−1.26775	−	1.58971i
$613$	11.0610	+	13.8701i	0.446750	+	0.560206i	0.953308	−	0.301999i	$-0.0976540\pi$
$613$	11.0610	+	13.8701i	0.446750	+	0.560206i	−0.506559	+	0.862206i	$0.669083\pi$
$614$	3.11986	+	13.6690i	0.125907	+	0.551635i
$615$	−8.01926	−	35.1347i	−0.323368	−	1.41677i
$616$	−5.15302	+	28.2744i	−0.207621	+	1.13921i
$617$	−3.45979	+	15.1583i	−0.139286	+	0.610251i	0.856307	+	0.516467i	$0.172753\pi$
$617$	−3.45979	+	15.1583i	−0.139286	+	0.610251i	−0.995593	+	0.0937833i	$0.970104\pi$
$618$	−34.5338			−1.38915
$619$	−22.6780			−0.911507			−0.455753	−	0.890106i	$-0.650630\pi$
$619$	−22.6780			−0.911507			−0.455753	+	0.890106i	$0.650630\pi$
$620$	2.57090	−	11.2638i	0.103250	−	0.452366i
$621$	−9.82312	+	4.73056i	−0.394188	+	0.189831i
$622$	8.02800	+	10.0668i	0.321894	+	0.403642i
$623$	4.48375	−	0.197986i	0.179637	−	0.00793215i
$624$	−0.378254	+	0.474315i	−0.0151423	+	0.0189878i
$625$	6.79015	−	29.7496i	0.271606	−	1.18998i
$626$	−13.0559	+	16.3716i	−0.521820	+	0.654341i
$627$	−22.5383	+	10.8539i	−0.900094	+	0.433463i
$628$	−12.7316	−	15.9650i	−0.508047	−	0.637071i
$629$	35.6426	+	17.1646i	1.42116	+	0.684396i
$630$	34.8843	−	18.7382i	1.38982	−	0.746548i
$631$	5.46054	−	2.62966i	0.217381	−	0.104685i	−0.322025	−	0.946731i	$-0.604363\pi$
$631$	5.46054	−	2.62966i	0.217381	−	0.104685i	0.539405	+	0.842046i	$0.318649\pi$
$632$	7.60612	+	3.66292i	0.302555	+	0.145703i
$633$	17.9404	+	78.6020i	0.713066	+	3.12415i
$634$	8.40422	+	4.04726i	0.333774	+	0.160737i
$635$	−14.8555	+	18.6282i	−0.589523	+	0.739239i
$636$	12.8058			0.507783
$637$	−6.54994	−	2.46948i	−0.259518	−	0.0978443i
$638$	−33.4359			−1.32374
$639$	60.0864	−	75.3460i	2.37698	−	2.98064i
$640$	17.7880	+	8.56623i	0.703131	+	0.338610i
$641$	1.99207	+	8.72784i	0.0786821	+	0.344729i	0.998911	−	0.0466511i	$-0.0148549\pi$
$641$	1.99207	+	8.72784i	0.0786821	+	0.344729i	−0.920229	+	0.391380i	$0.871998\pi$
$642$	9.89785	+	4.76655i	0.390637	+	0.188121i
$643$	−9.40443	+	4.52894i	−0.370875	+	0.178604i	−0.610032	−	0.792377i	$-0.708843\pi$
$643$	−9.40443	+	4.52894i	−0.370875	+	0.178604i	0.239157	+	0.970981i	$0.423129\pi$
$644$	0.549363	−	3.01433i	0.0216479	−	0.118781i
$645$	17.4991	+	8.42714i	0.689028	+	0.331818i
$646$	−6.22484	−	7.80571i	−0.244913	−	0.307111i
$647$	9.17395	−	4.41794i	0.360665	−	0.173687i	−0.244771	−	0.969581i	$-0.578713\pi$
$647$	9.17395	−	4.41794i	0.360665	−	0.173687i	0.605436	+	0.795894i	$0.292999\pi$
$648$	−29.9476	+	37.5531i	−1.17645	+	1.47522i
$649$	11.1700	−	48.9392i	0.438463	−	1.92103i
$650$	0.869614	−	1.09046i	0.0341091	−	0.0427714i
$651$	−25.6258	+	13.7650i	−1.00435	+	0.539492i
$652$	−8.63329	−	10.8258i	−0.338106	−	0.423971i
$653$	−19.2351	+	9.26314i	−0.752728	+	0.362495i	−0.770578	−	0.637346i	$-0.780032\pi$
$653$	−19.2351	+	9.26314i	−0.752728	+	0.362495i	0.0178498	+	0.999841i	$0.494318\pi$
$654$	9.57931	−	41.9697i	0.374581	−	1.64115i
$655$	−26.9750			−1.05400
$656$	−0.862220			−0.0336640
$657$	23.5149	−	103.025i	0.917402	−	4.01940i
$658$	−3.94398	−	1.68925i	−0.153752	−	0.0658537i
$659$	−1.98561	−	8.69953i	−0.0773485	−	0.338886i	0.921416	−	0.388577i	$-0.127033\pi$
$659$	−1.98561	−	8.69953i	−0.0773485	−	0.338886i	−0.998765	+	0.0496915i	$0.984176\pi$
$660$	−8.97547	−	39.3241i	−0.349370	−	1.53069i
$661$	−25.3956	−	31.8450i	−0.987773	−	1.23863i	−0.971077	−	0.238768i	$-0.923256\pi$
$661$	−25.3956	−	31.8450i	−0.987773	−	1.23863i	−0.0166969	−	0.999861i	$-0.505315\pi$
$662$	7.23005	+	9.06620i	0.281004	+	0.352368i
$663$	4.01431	+	17.5878i	0.155903	+	0.683055i
$664$	7.08840	+	31.0563i	0.275083	+	1.20522i
$665$	−12.2799	+	6.59621i	−0.476196	+	0.255790i
$666$	8.88834	−	38.9423i	0.344416	−	1.50899i
$667$	9.13905			0.353865
$668$	−20.5144			−0.793727
$669$	3.48764	−	15.2803i	0.134840	−	0.590772i
$670$	10.2749	−	4.94814i	0.396955	−	0.191163i
$671$	18.5064	+	23.2063i	0.714431	+	0.895868i
$672$	−12.6227	−	45.8717i	−0.486930	−	1.76954i
$673$	25.5065	−	31.9842i	0.983204	−	1.23290i	0.0107172	−	0.999943i	$-0.496589\pi$
$673$	25.5065	−	31.9842i	0.983204	−	1.23290i	0.972487	−	0.232957i	$-0.0748400\pi$
$674$	2.05451	−	9.00141i	0.0791369	−	0.346721i
$675$	−12.3302	+	15.4616i	−0.474591	+	0.595118i
$676$	1.15225	−	0.554897i	0.0443175	−	0.0213422i
$677$	−17.4199	−	21.8439i	−0.669503	−	0.839530i	0.324838	−	0.945770i	$-0.394690\pi$
$677$	−17.4199	−	21.8439i	−0.669503	−	0.839530i	−0.994341	+	0.106240i	$0.966119\pi$
$678$	40.6562	+	19.5790i	1.56139	+	0.751926i
$679$	14.4832	−	19.9029i	0.555813	−	0.763802i
$680$	37.1855	−	17.9076i	1.42600	−	0.686724i
$681$	−55.1643	−	26.5657i	−2.11390	−	1.01800i
$682$	−2.58399	−	11.3212i	−0.0989463	−	0.433512i
$683$	−39.4439	−	18.9952i	−1.50928	−	0.726830i	−0.517606	−	0.855619i	$-0.673177\pi$
$683$	−39.4439	−	18.9952i	−1.50928	−	0.726830i	−0.991672	+	0.128789i	$0.958891\pi$
$684$	11.1472	−	13.9781i	0.426224	−	0.534468i
$685$	25.2837			0.966041
$686$	13.1448	−	8.63426i	0.501869	−	0.329658i
$687$	−37.1005			−1.41547
$688$	0.289729	−	0.363308i	0.0110458	−	0.0138510i
$689$	−2.87615	−	1.38508i	−0.109572	−	0.0527673i
$690$	−1.38324	−	6.06037i	−0.0526591	−	0.230715i
$691$	−4.11398	−	1.98119i	−0.156503	−	0.0753680i	0.353993	−	0.935248i	$-0.384824\pi$
$691$	−4.11398	−	1.98119i	−0.156503	−	0.0753680i	−0.510496	+	0.859880i	$0.670538\pi$
$692$	6.00593	−	2.89230i	0.228311	−	0.109949i
$693$	−41.5336	+	57.0758i	−1.57773	+	2.16813i
$694$	−5.45780	−	2.62834i	−0.207175	−	0.0997704i
$695$	−15.4120	−	19.3261i	−0.584611	−	0.733079i
$696$	79.4152	−	38.2443i	3.01022	−	1.44965i
$697$	−15.9858	+	20.0455i	−0.605504	+	0.759279i
$698$	4.83671	−	21.1910i	0.183072	−	0.802092i
$699$	24.4566	−	30.6676i	0.925034	−	1.15996i
$700$	−1.47450	−	5.35845i	−0.0557309	−	0.202530i
$701$	−2.77249	−	3.47659i	−0.104716	−	0.131309i	0.726712	−	0.686942i	$-0.241047\pi$
$701$	−2.77249	−	3.47659i	−0.104716	−	0.131309i	−0.831428	+	0.555633i	$0.812476\pi$
$702$	9.21184	−	4.43619i	0.347678	−	0.167433i
$703$	−3.12887	+	13.7085i	−0.118007	+	0.517024i
$704$	17.4837			0.658941
$705$	15.4382			0.581437
$706$	−1.40995	+	6.17739i	−0.0530641	+	0.232489i
$707$	10.9535	−	5.88373i	0.411950	−	0.221281i
$708$	11.4854	+	50.3207i	0.431647	+	1.89117i
$709$	1.90753	+	8.35743i	0.0716387	+	0.313870i	0.998033	−	0.0626841i	$-0.0199661\pi$
$709$	1.90753	+	8.35743i	0.0716387	+	0.313870i	−0.926395	+	0.376554i	$0.877109\pi$
$710$	19.2296	+	24.1131i	0.721673	+	0.904950i
$711$	12.9278	+	16.2110i	0.484832	+	0.607960i
$712$	−1.05102	−	4.60482i	−0.0393886	−	0.172573i
$713$	0.706284	+	3.09443i	0.0264505	+	0.115887i
$714$	−37.2572	−	15.9576i	−1.39432	−	0.597200i
$715$	−2.23744	+	9.80287i	−0.0836755	+	0.366606i
$716$	3.61283			0.135018
$717$	−41.3566			−1.54449
$718$	−5.60630	+	24.5628i	−0.209225	+	0.916676i
$719$	37.7909	−	18.1992i	1.40936	−	0.678714i	0.434327	−	0.900755i	$-0.356986\pi$
$719$	37.7909	−	18.1992i	1.40936	−	0.678714i	0.975037	+	0.222041i	$0.0712720\pi$
$720$	2.12544	+	2.66522i	0.0792106	+	0.0993269i
$721$	30.2192	−	16.2324i	1.12542	−	0.604525i
$722$	−7.84705	+	9.83989i	−0.292037	+	0.366203i
$723$	−6.00892	+	26.3268i	−0.223474	+	0.979104i
$724$	−0.954625	+	1.19706i	−0.0354784	+	0.0444885i
$725$	14.9353	−	7.19245i	0.554682	−	0.267121i
$726$	−7.00910	−	8.78913i	−0.260132	−	0.326195i
$727$	−30.4349	−	14.6567i	−1.12877	−	0.543587i	−0.226179	−	0.974086i	$-0.572623\pi$
$727$	−30.4349	−	14.6567i	−1.12877	−	0.543587i	−0.902591	+	0.430499i	$0.858338\pi$
$728$	−1.32083	+	7.24734i	−0.0489532	+	0.268604i
$729$	−4.20872	+	2.02681i	−0.155878	+	0.0750671i
$730$	30.4702	+	14.6737i	1.12775	+	0.543097i
$731$	−3.07482	−	13.4716i	−0.113726	−	0.498267i
$732$	−27.4974	−	13.2421i	−1.01633	−	0.489441i
$733$	10.3102	−	12.9286i	0.380817	−	0.477529i	−0.554072	−	0.832468i	$-0.686927\pi$
$733$	10.3102	−	12.9286i	0.380817	−	0.477529i	0.934889	+	0.354939i	$0.115498\pi$
$734$	−1.79345			−0.0661973
$735$	−31.2456	+	47.1805i	−1.15251	+	1.74028i
$736$	−5.19132			−0.191354
$737$	−12.6751	+	15.8941i	−0.466894	+	0.585467i
$738$	23.3241	+	11.2323i	0.858571	+	0.413466i
$739$	−1.08518	−	4.75446i	−0.0399188	−	0.174896i	0.951039	−	0.309072i	$-0.100018\pi$
$739$	−1.08518	−	4.75446i	−0.0399188	−	0.174896i	−0.990958	+	0.134176i	$0.957161\pi$
$740$	−20.4268	−	9.83702i	−0.750903	−	0.361616i
$741$	−5.77706	+	2.78208i	−0.212225	+	0.102202i
$742$	6.31827	−	3.39388i	0.231951	−	0.124593i
$743$	−6.91112	−	3.32822i	−0.253544	−	0.122100i	0.302795	−	0.953056i	$-0.402080\pi$
$743$	−6.91112	−	3.32822i	−0.253544	−	0.122100i	−0.556339	+	0.830955i	$0.687795\pi$
$744$	19.0867	+	23.9340i	0.699752	+	0.877461i
$745$	28.6558	−	13.7999i	1.04987	−	0.505590i
$746$	14.5737	−	18.2749i	0.533583	−	0.669092i
$747$	−17.4097	+	76.2769i	−0.636987	+	2.79082i
$748$	−17.8919	+	22.4357i	−0.654193	+	0.820332i
$749$	−10.9017	+	0.481381i	−0.398340	+	0.0175893i
$750$	14.3706	+	18.0202i	0.524741	+	0.658004i
$751$	−26.9511	+	12.9790i	−0.983461	+	0.473610i	−0.855294	−	0.518143i	$-0.826624\pi$
$751$	−26.9511	+	12.9790i	−0.983461	+	0.473610i	−0.128167	+	0.991753i	$0.540909\pi$
$752$	0.0821907	−	0.360101i	0.00299719	−	0.0131315i
$753$	32.3758			1.17984
$754$	−8.57034			−0.312113
$755$	−6.44208	+	28.2246i	−0.234451	+	1.02720i
$756$	7.30468	−	40.0805i	0.265669	−	1.45771i
$757$	−2.94160	−	12.8880i	−0.106914	−	0.468423i	−0.999834	−	0.0182070i	$-0.994204\pi$
$757$	−2.94160	−	12.8880i	−0.106914	−	0.468423i	0.892920	−	0.450216i	$-0.148653\pi$
$758$	−1.41602	−	6.20397i	−0.0514320	−	0.225338i
$759$	6.90892	+	8.66352i	0.250778	+	0.314466i
$760$	9.14638	+	11.4692i	0.331774	+	0.416032i
$761$	−5.34988	−	23.4394i	−0.193933	−	0.849676i	−0.974461	−	0.224556i	$-0.927907\pi$
$761$	−5.34988	−	23.4394i	−0.193933	−	0.849676i	0.780528	−	0.625121i	$-0.214950\pi$
$762$	−5.47932	−	24.0065i	−0.198495	−	0.869663i
$763$	11.3450	+	41.2287i	0.410718	+	1.49258i
$764$	2.88463	−	12.6384i	0.104362	−	0.457241i
$765$	101.369			3.66501
$766$	−13.8176			−0.499250
$767$	2.86312	−	12.5441i	0.103381	−	0.452943i
$768$	−43.7127	+	21.0509i	−1.57734	+	0.759609i
$769$	−7.01203	−	8.79280i	−0.252860	−	0.317077i	0.639159	−	0.769075i	$-0.279283\pi$
$769$	−7.01203	−	8.79280i	−0.252860	−	0.317077i	−0.892019	+	0.451998i	$0.850711\pi$
$770$	−14.8504	−	17.0234i	−0.535170	−	0.613481i
$771$	44.4847	−	55.7820i	1.60208	−	2.00894i
$772$	−1.39411	+	6.10799i	−0.0501750	+	0.219831i
$773$	−1.20387	+	1.50960i	−0.0433002	+	0.0542967i	−0.803010	−	0.595965i	$-0.796770\pi$
$773$	−1.20387	+	1.50960i	−0.0433002	+	0.0542967i	0.759710	+	0.650262i	$0.225341\pi$
$774$	−12.5704	+	6.05357i	−0.451833	+	0.217591i
$775$	3.58955	+	4.50115i	0.128940	+	0.161686i
$776$	−23.3389	−	11.2394i	−0.837819	−	0.403472i
$777$	15.1446	+	55.0367i	0.543310	+	1.97443i
$778$	−19.4071	+	9.34596i	−0.695778	+	0.335069i
$779$	−8.21052	−	3.95398i	−0.294173	−	0.141666i
$780$	−2.30060	−	10.0796i	−0.0823748	−	0.360908i
$781$	−49.5341	−	23.8544i	−1.77247	−	0.853576i
$782$	−2.75739	+	3.45765i	−0.0986039	+	0.123645i
$783$	121.519			4.34272
$784$	0.934153	+	0.979995i	0.0333626	+	0.0349998i
$785$	41.1511			1.46875
$786$	17.3815	−	21.7957i	0.619978	−	0.777428i
$787$	−32.1720	−	15.4932i	−1.14681	−	0.552273i	−0.238734	−	0.971085i	$-0.576732\pi$
$787$	−32.1720	−	15.4932i	−1.14681	−	0.552273i	−0.908073	+	0.418812i	$0.862447\pi$
$788$	−4.91876	−	21.5505i	−0.175224	−	0.767705i
$789$	67.6242	+	32.5661i	2.40749	+	1.15938i
$790$	−5.97860	+	2.87914i	−0.212709	+	0.102435i
$791$	−44.7796	+	1.97731i	−1.59218	+	0.0703050i
$792$	66.9295	+	32.2316i	2.37824	+	1.14530i
$793$	4.74358	+	5.94826i	0.168449	+	0.211229i
$794$	−9.21040	+	4.43549i	−0.326865	+	0.157410i
$795$	−16.0902	+	20.1765i	−0.570662	+	0.715588i
$796$	−3.54211	+	15.5190i	−0.125547	+	0.550056i
$797$	−27.3655	+	34.3152i	−0.969334	+	1.21551i	0.00716256	+	0.999974i	$0.497720\pi$
$797$	−27.3655	+	34.3152i	−0.969334	+	1.21551i	−0.976497	+	0.215532i	$0.930851\pi$
$798$	2.58294	−	14.1725i	0.0914351	−	0.501701i
$799$	−6.84806	−	8.58719i	−0.242267	−	0.303793i
$800$	−8.48378	+	4.08557i	−0.299947	+	0.144447i
$801$	2.58139	−	11.3098i	0.0912089	−	0.399612i
$802$	−9.31407			−0.328891
$803$	−60.2864			−2.12746
$804$	4.65140	−	20.3791i	0.164042	−	0.718716i
$805$	4.05905	+	4.65302i	0.143063	+	0.163997i
$806$	−0.662333	−	2.90187i	−0.0233297	−	0.102214i
$807$	22.7543	+	99.6933i	0.800991	+	3.50937i
$808$	−8.15845	−	10.2304i	−0.287013	−	0.359903i
$809$	16.7179	+	20.9635i	0.587769	+	0.737039i	0.983416	−	0.181364i	$-0.0580511\pi$
$809$	16.7179	+	20.9635i	0.587769	+	0.737039i	−0.395647	+	0.918403i	$0.629480\pi$
$810$	−8.40117	−	36.8079i	−0.295187	−	1.29330i
$811$	−5.88045	−	25.7639i	−0.206491	−	0.904694i	−0.966881	−	0.255228i	$-0.917850\pi$
$811$	−5.88045	−	25.7639i	−0.206491	−	0.904694i	0.760390	−	0.649466i	$-0.225008\pi$
$812$	−20.0936	+	27.6128i	−0.705147	+	0.969018i
$813$	1.01045	−	4.42705i	0.0354379	−	0.155264i
$814$	−22.7875			−0.798702
$815$	27.9044			0.977450
$816$	0.776422	−	3.40173i	0.0271802	−	0.119084i
$817$	4.42501	−	2.13097i	0.154812	−	0.0745534i
$818$	7.44161	+	9.33148i	0.260190	+	0.326268i
$819$	−10.6460	+	14.6297i	−0.372000	+	0.511205i
$820$	9.16145	−	11.4881i	0.319932	−	0.401182i
$821$	11.5489	−	50.5992i	0.403060	−	1.76592i	−0.211827	−	0.977307i	$-0.567941\pi$
$821$	11.5489	−	50.5992i	0.403060	−	1.76592i	0.614887	−	0.788615i	$-0.289202\pi$
$822$	−16.2918	+	20.4292i	−0.568240	+	0.712551i
$823$	−14.0919	+	6.78628i	−0.491211	+	0.236555i	−0.663057	−	0.748569i	$-0.730741\pi$
$823$	−14.0919	+	6.78628i	−0.491211	+	0.236555i	0.171846	+	0.985124i	$0.445027\pi$
$824$	−22.5080	−	28.2241i	−0.784103	−	0.983233i
$825$	18.1089	+	8.72081i	0.630472	+	0.303620i
$826$	19.0031	+	21.7839i	0.661203	+	0.757958i
$827$	−16.6877	+	8.03638i	−0.580289	+	0.279452i	−0.700914	−	0.713246i	$-0.747224\pi$
$827$	−16.6877	+	8.03638i	−0.580289	+	0.279452i	0.120625	+	0.992698i	$0.461510\pi$
$828$	−7.13535	−	3.43620i	−0.247970	−	0.119416i
$829$	1.09588	+	4.80138i	0.0380616	+	0.166759i	0.990387	−	0.138326i	$-0.0441722\pi$
$829$	1.09588	+	4.80138i	0.0380616	+	0.166759i	−0.952325	+	0.305085i	$0.901315\pi$
$830$	−22.5592	−	10.8639i	−0.783041	−	0.377093i
$831$	−36.7767	+	46.1165i	−1.27577	+	1.59976i
$832$	4.48144			0.155366
$833$	40.1031	−	3.54854i	1.38949	−	0.122950i
$834$	25.5463			0.884595
$835$	25.7760	−	32.3221i	0.892015	−	1.11855i
$836$	−9.18954	−	4.42545i	−0.317827	−	0.153057i
$837$	9.39120	+	41.1455i	0.324607	+	1.42220i
$838$	−30.5222	−	14.6987i	−1.05437	−	0.507759i
$839$	−6.14496	+	2.95926i	−0.212147	+	0.102165i	−0.536940	−	0.843620i	$-0.680420\pi$
$839$	−6.14496	+	2.95926i	−0.212147	+	0.102165i	0.324792	+	0.945785i	$0.394706\pi$
$840$	54.7433	+	23.4471i	1.88882	+	0.809003i
$841$	−65.6447	−	31.6128i	−2.26361	−	1.09010i
$842$	3.27915	+	4.11192i	0.113007	+	0.141706i
$843$	−44.4118	+	21.3876i	−1.52962	+	0.736628i
$844$	−20.4957	+	25.7008i	−0.705490	+	0.884657i
$845$	−0.573504	+	2.51268i	−0.0197291	+	0.0864389i
$846$	−6.91445	+	8.67045i	−0.237724	+	0.298096i
$847$	10.2646	+	4.39645i	0.352697	+	0.151064i
$848$	0.384962	+	0.482727i	0.0132196	+	0.0165769i
$849$	−23.8705	+	11.4954i	−0.819233	+	0.394522i
$850$	−1.78501	+	7.82065i	−0.0612254	+	0.268246i
$851$	6.22852			0.213511
$852$	56.5308			1.93671
$853$	−6.37898	+	27.9481i	−0.218412	+	0.956926i	0.740239	+	0.672343i	$0.234712\pi$
$853$	−6.37898	+	27.9481i	−0.218412	+	0.956926i	−0.958651	+	0.284583i	$0.908145\pi$
$854$	−17.0765	+	0.754037i	−0.584345	+	0.0258026i
$855$	8.01740	+	35.1265i	0.274189	+	1.20130i
$856$	2.55543	+	11.1961i	0.0873428	+	0.382674i
$857$	8.32123	+	10.4345i	0.284248	+	0.356436i	0.903372	−	0.428857i	$-0.141084\pi$
$857$	8.32123	+	10.4345i	0.284248	+	0.356436i	−0.619124	+	0.785293i	$0.712512\pi$
$858$	−6.47899	−	8.12440i	−0.221189	−	0.277362i
$859$	−11.4289	−	50.0734i	−0.389950	−	1.70848i	−0.664822	−	0.747002i	$-0.731493\pi$
$859$	−11.4289	−	50.0734i	−0.389950	−	1.70848i	0.274872	−	0.961481i	$-0.411364\pi$
$860$	1.76218	+	7.72061i	0.0600898	+	0.263270i
$861$	−36.9593	+	1.63199i	−1.25957	+	0.0556181i
$862$	4.64686	−	20.3592i	0.158273	−	0.693437i
$863$	47.1958			1.60656			0.803282	−	0.595599i	$-0.203085\pi$
$863$	47.1958			1.60656			0.803282	+	0.595599i	$0.203085\pi$
$864$	−69.0270			−2.34835
$865$	−2.98929	+	13.0969i	−0.101639	+	0.445309i
$866$	−26.2230	+	12.6283i	−0.891095	+	0.429129i
$867$	−31.4444	−	39.4300i	−1.06791	−	1.33911i
$868$	−10.9024	−	4.66961i	−0.370052	−	0.158497i
$869$	7.37519	−	9.24820i	0.250186	−	0.313724i
$870$	−15.4170	+	67.5464i	−0.522686	+	2.29004i
$871$	−3.24890	+	4.07400i	−0.110085	+	0.138042i
$872$	40.5448	−	19.5254i	1.37302	−	0.661212i
$873$	−39.6683	−	49.7425i	−1.34257	−	1.68353i
$874$	−1.41623	−	0.682022i	−0.0479048	−	0.0230697i
$875$	−21.0454	−	9.01397i	−0.711465	−	0.304728i
$876$	55.8495	−	26.8957i	1.88698	−	0.908722i
$877$	−11.7170	−	5.64262i	−0.395656	−	0.190538i	0.225467	−	0.974251i	$-0.427609\pi$
$877$	−11.7170	−	5.64262i	−0.395656	−	0.190538i	−0.621123	+	0.783713i	$0.713323\pi$
$878$	6.44650	+	28.2439i	0.217559	+	0.953187i
$879$	18.4847	+	8.90177i	0.623474	+	0.300249i
$880$	1.21254	−	1.52048i	0.0408748	−	0.0512554i
$881$	55.8157			1.88048			0.940239	−	0.340516i	$-0.110602\pi$
$881$	55.8157			1.88048			0.940239	+	0.340516i	$0.110602\pi$
$882$	−12.5034	−	38.6794i	−0.421011	−	1.30240i
$883$	−18.3417			−0.617248			−0.308624	−	0.951184i	$-0.599869\pi$
$883$	−18.3417			−0.617248			−0.308624	+	0.951184i	$0.599869\pi$
$884$	−4.58608	+	5.75076i	−0.154246	+	0.193419i
$885$	−93.7153	−	45.1309i	−3.15021	−	1.51706i
$886$	−1.24417	−	5.45108i	−0.0417988	−	0.183133i
$887$	−1.84454	−	0.888283i	−0.0619336	−	0.0298256i	0.402661	−	0.915349i	$-0.368085\pi$
$887$	−1.84454	−	0.888283i	−0.0619336	−	0.0298256i	−0.464594	+	0.885524i	$0.653800\pi$
$888$	54.1237	−	26.0646i	1.81627	−	0.874671i
$889$	16.0788	+	18.4316i	0.539265	+	0.618177i
$890$	3.34492	+	1.61083i	0.112122	+	0.0539951i
$891$	41.9616	+	52.6182i	1.40577	+	1.76278i
$892$	5.75761	−	2.77272i	0.192779	−	0.0928375i
$893$	2.43402	−	3.05216i	0.0814514	−	0.102137i
$894$	−7.31428	+	32.0460i	−0.244626	+	1.07178i
$895$	−4.53945	+	5.69229i	−0.151737	+	0.190272i
$896$	11.9253	−	16.3878i	0.398395	−	0.547478i
$897$	1.77090	+	2.22064i	0.0591288	+	0.0741451i
$898$	24.4086	−	11.7546i	0.814525	−	0.392255i
$899$	7.87195	−	34.4893i	0.262544	−	1.15028i
$900$	−14.3651			−0.478835
$901$	18.3601			0.611663
$902$	3.28635	−	14.3984i	0.109423	−	0.479415i
$903$	11.7316	−	16.1217i	0.390404	−	0.536497i
$904$	10.4966	+	45.9887i	0.349113	+	1.52956i
$905$	−0.686595	−	3.00817i	−0.0228232	−	0.0999950i
$906$	−18.6544	−	23.3919i	−0.619752	−	0.777145i
$907$	−9.09020	−	11.3987i	−0.301835	−	0.378489i	0.607665	−	0.794194i	$-0.292106\pi$
$907$	−9.09020	−	11.3987i	−0.301835	−	0.378489i	−0.909500	+	0.415705i	$0.863535\pi$
$908$	−5.55509	−	24.3384i	−0.184352	−	0.807699i
$909$	−7.15142	−	31.3324i	−0.237198	−	1.03923i
$910$	−3.80646	−	4.36347i	−0.126183	−	0.144647i
$911$	−8.44879	+	37.0166i	−0.279921	+	1.22641i	0.617972	+	0.786200i	$0.287954\pi$
$911$	−8.44879	+	37.0166i	−0.279921	+	1.22641i	−0.897893	+	0.440214i	$0.854903\pi$
$912$	1.24018			0.0410664
$913$	44.6342			1.47718
$914$	1.59935	−	7.00721i	0.0529018	−	0.231778i
$915$	55.4139	−	26.6859i	1.83193	−	0.882209i
$916$	−9.43150	−	11.8267i	−0.311626	−	0.390766i
$917$	−4.96498	+	27.2427i	−0.163958	+	0.899632i
$918$	−36.6639	+	45.9751i	−1.21009	+	1.51740i
$919$	−9.61640	+	42.1322i	−0.317216	+	1.38981i	0.525197	+	0.850981i	$0.323992\pi$
$919$	−9.61640	+	42.1322i	−0.317216	+	1.38981i	−0.842413	+	0.538832i	$0.818866\pi$
$920$	4.05152	−	5.08045i	0.133575	−	0.167498i
$921$	−46.6600	+	22.4703i	−1.53750	+	0.740420i
$922$	12.2551	+	15.3674i	0.403601	+	0.506099i
$923$	−12.6966	−	6.11438i	−0.417915	−	0.201257i
$924$	−41.3663	+	1.82659i	−1.36085	+	0.0600904i
$925$	10.1788	−	4.90186i	0.334677	−	0.161172i
$926$	−15.0273	−	7.23679i	−0.493829	−	0.237816i
$927$	−19.7297	−	86.4415i	−0.648009	−	2.83911i
$928$	52.1303	+	25.1046i	1.71126	+	0.824100i
$929$	−5.58943	+	7.00892i	−0.183383	+	0.229955i	−0.865022	−	0.501733i	$-0.832696\pi$
$929$	−5.58943	+	7.00892i	−0.183383	+	0.229955i	0.681639	+	0.731688i	$0.261267\pi$
$930$	−24.0623			−0.789035
$931$	4.40144	+	13.6159i	0.144251	+	0.446243i
$932$	15.9933			0.523879
$933$	−29.6537	+	37.1845i	−0.970818	+	1.21737i
$934$	1.83123	+	0.881872i	0.0599195	+	0.0288557i
$935$	−12.8684	−	56.3802i	−0.420842	−	1.84383i
$936$	17.1555	+	8.26163i	0.560744	+	0.270040i
$937$	22.4251	−	10.7994i	0.732596	−	0.352800i	−0.0301086	−	0.999547i	$-0.509585\pi$
$937$	22.4251	−	10.7994i	0.732596	−	0.352800i	0.762705	+	0.646747i	$0.223871\pi$
$938$	−3.10605	−	11.2876i	−0.101416	−	0.368554i
$939$	−69.6882	−	33.5601i	−2.27419	−	1.09519i
$940$	3.92462	+	4.92132i	0.128007	+	0.160516i
$941$	10.2127	−	4.91816i	0.332924	−	0.160328i	−0.259952	−	0.965621i	$-0.583707\pi$
$941$	10.2127	−	4.91816i	0.332924	−	0.160328i	0.592876	+	0.805294i	$0.297993\pi$
$942$	−26.5160	+	33.2500i	−0.863938	+	1.08334i
$943$	−0.898258	+	3.93552i	−0.0292513	+	0.128158i
$944$	−1.55162	+	1.94567i	−0.0505009	+	0.0633261i
$945$	53.9717	+	61.8694i	1.75570	+	2.01261i
$946$	4.96267	+	6.22299i	0.161350	+	0.202327i
$947$	−5.18584	+	2.49737i	−0.168517	+	0.0811536i	−0.516241	−	0.856443i	$-0.672669\pi$
$947$	−5.18584	+	2.49737i	−0.168517	+	0.0811536i	0.347724	+	0.937597i	$0.386955\pi$
$948$	−2.70648	+	11.8579i	−0.0879024	+	0.385126i
$949$	−15.4527			−0.501615
$950$	−2.85120			−0.0925050
$951$	−7.66707	+	33.5916i	−0.248622	+	1.08928i
$952$	−11.2410	−	40.8505i	−0.364322	−	1.32397i
$953$	9.79846	+	42.9299i	0.317403	+	1.39063i	0.842089	+	0.539339i	$0.181326\pi$
$953$	9.79846	+	42.9299i	0.317403	+	1.39063i	−0.524686	+	0.851296i	$0.675817\pi$
$954$	−4.12511	−	18.0733i	−0.133555	−	0.585144i
$955$	16.2883	+	20.4248i	0.527076	+	0.660932i
$956$	−10.5135	−	13.1835i	−0.340030	−	0.426384i
$957$	−27.4824	−	120.408i	−0.888381	−	3.89225i
$958$	−1.24295	−	5.44574i	−0.0401580	−	0.175944i
$959$	4.65369	−	25.5346i	0.150276	−	0.824556i
$960$	8.06159	−	35.3201i	0.260187	−	1.13995i
$961$	−18.7138			−0.603669
$962$	−5.84093			−0.188319
$963$	−6.27635	+	27.4985i	−0.202252	+	0.886126i
$964$	−9.91989	+	4.77717i	−0.319498	+	0.153862i
$965$	−7.87193	−	9.87109i	−0.253407	−	0.317762i
$966$	−6.37511	+	0.281502i	−0.205116	+	0.00905718i
$967$	−7.87948	+	9.88056i	−0.253387	+	0.317737i	−0.892214	−	0.451613i	$-0.850849\pi$
$967$	−7.87948	+	9.88056i	−0.253387	+	0.317737i	0.638827	+	0.769351i	$0.279420\pi$
$968$	2.61496	−	11.4569i	0.0840481	−	0.368239i
$969$	22.9932	−	28.8326i	0.738648	−	0.926235i
$970$	18.3450	−	8.83448i	0.589022	−	0.283658i
$971$	5.14553	+	6.45229i	0.165128	+	0.207064i	0.857510	−	0.514467i	$-0.172010\pi$
$971$	5.14553	+	6.45229i	0.165128	+	0.207064i	−0.692382	+	0.721531i	$0.743439\pi$
$972$	−20.7273	−	9.98172i	−0.664827	−	0.320164i
$973$	−22.3545	+	12.0078i	−0.716654	+	0.384953i
$974$	9.44964	−	4.55071i	0.302786	−	0.145814i
$975$	4.64171	+	2.23533i	0.148654	+	0.0715878i
$976$	−0.327442	−	1.43462i	−0.0104812	−	0.0459210i
$977$	23.5146	+	11.3240i	0.752297	+	0.362287i	0.770410	−	0.637549i	$-0.220052\pi$
$977$	23.5146	+	11.3240i	0.752297	+	0.362287i	−0.0181128	+	0.999836i	$0.505766\pi$
$978$	−17.9804	+	22.5468i	−0.574951	+	0.720966i
$979$	−6.61805			−0.211514
$980$	−22.9831	+	2.03367i	−0.734168	+	0.0649632i
$981$	110.527			3.52886
$982$	8.70561	−	10.9165i	0.277807	−	0.348359i
$983$	−0.347116	−	0.167162i	−0.0110713	−	0.00533166i	0.428340	−	0.903618i	$-0.359099\pi$
$983$	−0.347116	−	0.167162i	−0.0110713	−	0.00533166i	−0.439411	+	0.898286i	$0.644813\pi$
$984$	8.66351	+	37.9573i	0.276182	+	1.21003i
$985$	40.1348	+	19.3279i	1.27880	+	0.615838i
$986$	44.4100	−	21.3867i	1.41430	−	0.681092i
$987$	2.84154	−	15.5914i	0.0904471	−	0.496280i
$988$	−2.35547	−	1.13434i	−0.0749376	−	0.0360881i
$989$	−1.35645	−	1.70093i	−0.0431325	−	0.0540865i
$990$	−52.6083	+	25.3348i	−1.67200	+	0.805193i
$991$	−9.36289	+	11.7407i	−0.297422	+	0.372955i	−0.907978	−	0.419018i	$-0.862375\pi$
$991$	−9.36289	+	11.7407i	−0.297422	+	0.372955i	0.610556	+	0.791973i	$0.290946\pi$
$992$	−4.47156	+	19.5912i	−0.141972	+	0.622021i
$993$	−26.7062	+	33.4885i	−0.847496	+	1.06273i
$994$	27.8918	−	14.9822i	0.884674	−	0.475205i
$995$	−20.0008	−	25.0802i	−0.634067	−	0.795095i
$996$	−41.3493	+	19.9128i	−1.31020	+	0.630960i
$997$	−11.6196	+	50.9087i	−0.367996	+	1.61230i	0.364281	+	0.931289i	$0.381315\pi$
$997$	−11.6196	+	50.9087i	−0.367996	+	1.61230i	−0.732277	+	0.681007i	$0.761542\pi$
$998$	7.79228			0.246660
$999$	82.8183			2.62026

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.92.18	✓	174
49.8	even	7	inner	637.2.w.b.547.18	yes	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.18	✓	174	1.1	even	1	trivial
637.2.w.b.547.18	yes	174	49.8	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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.529450 - 0.663910i) q^{2} +(2.82603 + 1.36094i) q^{3} +(0.284583 + 1.24684i) q^{4} +(-2.32207 - 1.11825i) q^{5} +(2.39979 - 1.15568i) q^{6} +(-1.55674 + 2.13929i) q^{7} +(2.50862 + 1.20809i) q^{8} +(4.26380 + 5.34664i) q^{9} +O(q^{10})\)	\(q+(0.529450 - 0.663910i) q^{2} +(2.82603 + 1.36094i) q^{3} +(0.284583 + 1.24684i) q^{4} +(-2.32207 - 1.11825i) q^{5} +(2.39979 - 1.15568i) q^{6} +(-1.55674 + 2.13929i) q^{7} +(2.50862 + 1.20809i) q^{8} +(4.26380 + 5.34664i) q^{9} +(-1.97184 + 0.949586i) q^{10} +(2.43245 - 3.05020i) q^{11} +(-0.892640 + 3.91091i) q^{12} +(0.623490 - 0.781831i) q^{13} +(0.596076 + 2.16618i) q^{14} +(-5.04036 - 6.32041i) q^{15} +(-0.174260 + 0.0839190i) q^{16} +(-1.27981 + 5.60720i) q^{17} +5.80716 q^{18} -2.04423 q^{19} +(0.733457 - 3.21349i) q^{20} +(-7.31085 + 3.92705i) q^{21} +(-0.737194 - 3.22986i) q^{22} +(0.201498 + 0.882819i) q^{23} +(5.44529 + 6.82818i) q^{24} +(1.02407 + 1.28415i) q^{25} +(-0.188959 - 0.827882i) q^{26} +(2.67924 + 11.7385i) q^{27} +(-3.11038 - 1.33221i) q^{28} +(2.24581 - 9.83953i) q^{29} -6.86480 q^{30} +3.50517 q^{31} +(-1.27570 + 5.58922i) q^{32} +(11.0253 - 5.30952i) q^{33} +(3.04508 + 3.81841i) q^{34} +(6.00712 - 3.22675i) q^{35} +(-5.45300 + 6.83785i) q^{36} +(1.53058 - 6.70592i) q^{37} +(-1.08232 + 1.35718i) q^{38} +(2.82603 - 1.36094i) q^{39} +(-4.47424 - 5.61052i) q^{40} +(4.01644 + 1.93421i) q^{41} +(-1.26353 + 6.93292i) q^{42} +(-2.16463 + 1.04243i) q^{43} +(4.49535 + 2.16485i) q^{44} +(-3.92197 - 17.1833i) q^{45} +(0.692795 + 0.333632i) q^{46} +(-1.19068 + 1.49306i) q^{47} -0.606672 q^{48} +(-2.15310 - 6.66064i) q^{49} +1.39475 q^{50} +(-11.2478 + 14.1044i) q^{51} +(1.15225 + 0.554897i) q^{52} +(-0.710349 - 3.11224i) q^{53} +(9.21184 + 4.43619i) q^{54} +(-9.05921 + 4.36269i) q^{55} +(-6.48972 + 3.48598i) q^{56} +(-5.77706 - 2.78208i) q^{57} +(-5.34352 - 6.70056i) q^{58} +(11.5925 - 5.58267i) q^{59} +(6.44615 - 8.08321i) q^{60} +(-1.69296 + 7.41736i) q^{61} +(1.85582 - 2.32712i) q^{62} +(-18.0756 + 0.798156i) q^{63} +(2.79413 + 3.50373i) q^{64} +(-2.32207 + 1.11825i) q^{65} +(2.31232 - 10.1310i) q^{66} -5.21084 q^{67} -7.35550 q^{68} +(-0.632029 + 2.76910i) q^{69} +(1.03820 - 5.69659i) q^{70} +(-3.13581 - 13.7389i) q^{71} +(4.23705 + 18.5637i) q^{72} +(-9.63459 - 12.0814i) q^{73} +(-3.64176 - 4.56662i) q^{74} +(1.14641 + 5.02274i) q^{75} +(-0.581754 - 2.54883i) q^{76} +(2.73855 + 9.95210i) q^{77} +(0.592698 - 2.59678i) q^{78} +3.03200 q^{79} +0.498485 q^{80} +(-3.83865 + 16.8182i) q^{81} +(3.41065 - 1.64248i) q^{82} +(7.13316 + 8.94470i) q^{83} +(-6.97695 - 7.99790i) q^{84} +(9.24204 - 11.5892i) q^{85} +(-0.453985 + 1.98904i) q^{86} +(19.7378 - 24.7504i) q^{87} +(9.78701 - 4.71317i) q^{88} +(-1.05766 - 1.32626i) q^{89} +(-13.4846 - 6.49385i) q^{90} +(0.701949 + 2.55093i) q^{91} +(-1.04339 + 0.502471i) q^{92} +(9.90572 + 4.77035i) q^{93} +(0.360854 + 1.58100i) q^{94} +(4.74684 + 2.28596i) q^{95} +(-11.2118 + 14.0591i) q^{96} -9.30350 q^{97} +(-5.56203 - 2.09701i) q^{98} +26.6798 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Introduction

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