LMFDB - Embedded newform 855.2.ci.a.182.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [855,2,Mod(182,855)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(855, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 3, 8]))

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

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

chi := DirichletCharacter("855.182");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 855 = 3^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	855.ci (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.82720937282$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			182.9
Character	$\chi$	$=$	855.182
Dual form			855.2.ci.a.653.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.38103 - 0.637995i) q^{2} +(-1.70423 - 0.309196i) q^{3} +(3.53022 + 2.03817i) q^{4} +(-1.30158 - 1.81821i) q^{5} +(3.86056 + 1.82350i) q^{6} +(-4.79769 + 1.28554i) q^{7} +(-3.61914 - 3.61914i) q^{8} +(2.80880 + 1.05388i) q^{9} +O(q^{10})$	\(q+(-2.38103 - 0.637995i) q^{2} +(-1.70423 - 0.309196i) q^{3} +(3.53022 + 2.03817i) q^{4} +(-1.30158 - 1.81821i) q^{5} +(3.86056 + 1.82350i) q^{6} +(-4.79769 + 1.28554i) q^{7} +(-3.61914 - 3.61914i) q^{8} +(2.80880 + 1.05388i) q^{9} +(1.93908 + 5.15962i) q^{10} +(1.11239 + 0.642240i) q^{11} +(-5.38610 - 4.56504i) q^{12} +(0.465272 + 1.73642i) q^{13} +12.2436 q^{14} +(1.65600 + 3.50110i) q^{15} +(2.23194 + 3.86583i) q^{16} +(0.192696 + 0.719153i) q^{17} +(-6.01545 - 4.30133i) q^{18} +(-3.55504 + 2.52224i) q^{19} +(-0.889013 - 9.07152i) q^{20} +(8.57384 - 0.707421i) q^{21} +(-2.23889 - 2.23889i) q^{22} +(8.61848 - 2.30931i) q^{23} +(5.04881 + 7.28686i) q^{24} +(-1.61180 + 4.73309i) q^{25} -4.43131i q^{26} +(-4.46097 - 2.66453i) q^{27} +(-19.5570 - 5.24029i) q^{28} -5.51987 q^{29} +(-1.70930 - 9.39273i) q^{30} +(1.90028 + 3.29138i) q^{31} +(-0.198541 - 0.740967i) q^{32} +(-1.69719 - 1.43847i) q^{33} -1.83526i q^{34} +(8.58193 + 7.05000i) q^{35} +(7.76766 + 9.44524i) q^{36} +(3.79632 + 3.79632i) q^{37} +(10.0738 - 3.73743i) q^{38} +(-0.256036 - 3.10312i) q^{39} +(-1.86978 + 11.2909i) q^{40} -3.40070i q^{41} +(-20.8659 - 3.78568i) q^{42} +(6.63428 + 1.77765i) q^{43} +(2.61799 + 4.53449i) q^{44} +(-1.73968 - 6.47870i) q^{45} -21.9942 q^{46} +(-3.98770 + 3.98770i) q^{47} +(-2.60844 - 7.27837i) q^{48} +(15.3030 - 8.83520i) q^{49} +(6.85743 - 10.2413i) q^{50} +(-0.106039 - 1.28518i) q^{51} +(-1.89661 + 7.07824i) q^{52} +(1.00335 - 3.74454i) q^{53} +(8.92176 + 9.19040i) q^{54} +(-0.280134 - 2.85849i) q^{55} +(22.0160 + 12.7110i) q^{56} +(6.83847 - 3.19927i) q^{57} +(13.1430 + 3.52165i) q^{58} -7.92896 q^{59} +(-1.28980 + 15.7348i) q^{60} -3.16359 q^{61} +(-2.42474 - 9.04924i) q^{62} +(-14.8305 - 1.44539i) q^{63} -7.03683i q^{64} +(2.55159 - 3.10604i) q^{65} +(3.12333 + 4.50785i) q^{66} +(-6.63511 + 1.77787i) q^{67} +(-0.785497 + 2.93151i) q^{68} +(-15.4019 + 1.27080i) q^{69} +(-15.9360 - 22.2615i) q^{70} +(-2.59363 - 1.49743i) q^{71} +(-6.35127 - 13.9796i) q^{72} +(-0.738921 - 2.75769i) q^{73} +(-6.61712 - 11.4612i) q^{74} +(4.21033 - 7.56790i) q^{75} +(-17.6908 + 1.65827i) q^{76} +(-6.16253 - 1.65125i) q^{77} +(-1.37014 + 7.55196i) q^{78} +(-3.49518 + 2.01795i) q^{79} +(4.12387 - 9.08982i) q^{80} +(6.77866 + 5.92028i) q^{81} +(-2.16963 + 8.09717i) q^{82} +(-3.74158 + 1.00255i) q^{83} +(31.7094 + 14.9776i) q^{84} +(1.05676 - 1.28640i) q^{85} +(-14.6623 - 8.46527i) q^{86} +(9.40712 + 1.70672i) q^{87} +(-1.70155 - 6.35026i) q^{88} +(-8.16138 - 14.1359i) q^{89} +(0.00884103 + 16.5359i) q^{90} +(-4.46446 - 7.73267i) q^{91} +(35.1319 + 9.41356i) q^{92} +(-2.22083 - 6.19683i) q^{93} +(12.0390 - 6.95070i) q^{94} +(9.21312 + 3.18093i) q^{95} +(0.109256 + 1.32417i) q^{96} +(4.29141 - 16.0158i) q^{97} +(-42.0738 + 11.2736i) q^{98} +(2.44764 + 2.97625i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/855\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$496$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−2.38103	−	0.637995i	−1.68364	−	0.451131i	−0.714906	−	0.699221i	$-0.753530\pi$
$2$	−2.38103	−	0.637995i	−1.68364	−	0.451131i	−0.968737	+	0.248090i	$0.920197\pi$
$3$	−1.70423	−	0.309196i	−0.983937	−	0.178515i
$3$	−1.70423	−	0.309196i	−0.983937	−	0.178515i
$4$	3.53022	+	2.03817i	1.76511	+	1.01909i
$5$	−1.30158	−	1.81821i	−0.582082	−	0.813130i
$5$	−1.30158	−	1.81821i	−0.582082	−	0.813130i
$6$	3.86056	+	1.82350i	1.57607	+	0.744439i
$7$	−4.79769	+	1.28554i	−1.81336	+	0.485887i	−0.995929	−	0.0901457i	$-0.971267\pi$
$7$	−4.79769	+	1.28554i	−1.81336	+	0.485887i	−0.817427	+	0.576033i	$0.804600\pi$
$8$	−3.61914	−	3.61914i	−1.27956	−	1.27956i
$9$	2.80880	+	1.05388i	0.936265	+	0.351294i
$10$	1.93908	+	5.15962i	0.613191	+	1.63162i
$11$	1.11239	+	0.642240i	0.335399	+	0.193643i	0.658236	−	0.752812i	$-0.271303\pi$
$11$	1.11239	+	0.642240i	0.335399	+	0.193643i	−0.322837	+	0.946455i	$0.604636\pi$
$12$	−5.38610	−	4.56504i	−1.55483	−	1.31781i
$13$	0.465272	+	1.73642i	0.129043	+	0.481596i	0.999951	−	0.00984968i	$-0.00313530\pi$
$13$	0.465272	+	1.73642i	0.129043	+	0.481596i	−0.870908	+	0.491446i	$0.836469\pi$
$14$	12.2436			3.27224
$15$	1.65600	+	3.50110i	0.427577	+	0.903979i
$16$	2.23194	+	3.86583i	0.557985	+	0.966458i
$17$	0.192696	+	0.719153i	0.0467358	+	0.174420i	0.985349	−	0.170552i	$-0.0545550\pi$
$17$	0.192696	+	0.719153i	0.0467358	+	0.174420i	−0.938613	+	0.344972i	$0.887888\pi$
$18$	−6.01545	−	4.30133i	−1.41786	−	1.01383i
$19$	−3.55504	+	2.52224i	−0.815582	+	0.578642i
$19$	−3.55504	+	2.52224i	−0.815582	+	0.578642i
$20$	−0.889013	−	9.07152i	−0.198789	−	2.02845i
$21$	8.57384	−	0.707421i	1.87097	−	0.154372i
$22$	−2.23889	−	2.23889i	−0.477334	−	0.477334i
$23$	8.61848	−	2.30931i	1.79708	−	0.481525i	0.803562	−	0.595222i	$-0.202936\pi$
$23$	8.61848	−	2.30931i	1.79708	−	0.481525i	0.993516	+	0.113696i	$0.0362691\pi$
$24$	5.04881	+	7.28686i	1.03058	+	1.48742i
$25$	−1.61180	+	4.73309i	−0.322360	+	0.946617i
$26$		−	4.43131i		−	0.869051i
$27$	−4.46097	−	2.66453i	−0.858515	−	0.512789i
$28$	−19.5570	−	5.24029i	−3.69593	−	0.990321i
$29$	−5.51987			−1.02501			−0.512507	−	0.858683i	$-0.671283\pi$
$29$	−5.51987			−1.02501			−0.512507	+	0.858683i	$0.671283\pi$
$30$	−1.70930	−	9.39273i	−0.312074	−	1.71487i
$31$	1.90028	+	3.29138i	0.341300	+	0.591149i	0.984674	−	0.174403i	$-0.0557994\pi$
$31$	1.90028	+	3.29138i	0.341300	+	0.591149i	−0.643374	+	0.765552i	$0.722466\pi$
$32$	−0.198541	−	0.740967i	−0.0350975	−	0.130986i
$33$	−1.69719	−	1.43847i	−0.295443	−	0.250406i
$34$		−	1.83526i		−	0.314745i
$35$	8.58193	+	7.05000i	1.45061	+	1.19167i
$36$	7.76766	+	9.44524i	1.29461	+	1.57421i
$37$	3.79632	+	3.79632i	0.624111	+	0.624111i	0.946580	−	0.322469i	$-0.104513\pi$
$37$	3.79632	+	3.79632i	0.624111	+	0.624111i	−0.322469	+	0.946580i	$0.604513\pi$
$38$	10.0738	−	3.73743i	1.63419	−	0.606291i
$39$	−0.256036	−	3.10312i	−0.0409985	−	0.496896i
$40$	−1.86978	+	11.2909i	−0.295639	+	1.78525i
$41$		−	3.40070i		−	0.531100i	−0.964097	−	0.265550i	$-0.914446\pi$
$41$		−	3.40070i		−	0.531100i	0.964097	−	0.265550i	$-0.0855536\pi$
$42$	−20.8659	−	3.78568i	−3.21968	−	0.584143i
$43$	6.63428	+	1.77765i	1.01172	+	0.271089i	0.726347	−	0.687328i	$-0.241217\pi$
$43$	6.63428	+	1.77765i	1.01172	+	0.271089i	0.285371	+	0.958417i	$0.407883\pi$
$44$	2.61799	+	4.53449i	0.394677	+	0.683600i
$45$	−1.73968	−	6.47870i	−0.259335	−	0.965787i
$46$	−21.9942			−3.24287
$47$	−3.98770	+	3.98770i	−0.581665	+	0.581665i	−0.935361	−	0.353695i	$-0.884925\pi$
$47$	−3.98770	+	3.98770i	−0.581665	+	0.581665i	0.353695	+	0.935361i	$0.384925\pi$
$48$	−2.60844	−	7.27837i	−0.376495	−	1.05054i
$49$	15.3030	−	8.83520i	2.18615	−	1.26217i
$50$	6.85743	−	10.2413i	0.969787	−	1.44834i
$51$	−0.106039	−	1.28518i	−0.0148485	−	0.179962i
$52$	−1.89661	+	7.07824i	−0.263012	+	0.981575i
$53$	1.00335	−	3.74454i	0.137820	−	0.514352i	−0.862150	−	0.506653i	$-0.830883\pi$
$53$	1.00335	−	3.74454i	0.137820	−	0.514352i	0.999970	−	0.00769927i	$-0.00245078\pi$
$54$	8.92176	+	9.19040i	1.21410	+	1.25066i
$55$	−0.280134	−	2.85849i	−0.0377732	−	0.385439i
$56$	22.0160	+	12.7110i	2.94201	+	1.69857i
$57$	6.83847	−	3.19927i	0.905777	−	0.423754i
$58$	13.1430	+	3.52165i	1.72576	+	0.462415i
$59$	−7.92896			−1.03226			−0.516131	−	0.856509i	$-0.672628\pi$
$59$	−7.92896			−1.03226			−0.516131	+	0.856509i	$0.672628\pi$
$60$	−1.28980	+	15.7348i	−0.166512	+	2.03136i
$61$	−3.16359			−0.405056			−0.202528	−	0.979276i	$-0.564916\pi$
$61$	−3.16359			−0.405056			−0.202528	+	0.979276i	$0.564916\pi$
$62$	−2.42474	−	9.04924i	−0.307942	−	1.14925i
$63$	−14.8305	−	1.44539i	−1.86847	−	0.182102i
$64$		−	7.03683i		−	0.879603i
$65$	2.55159	−	3.10604i	0.316486	−	0.385257i
$66$	3.12333	+	4.50785i	0.384455	+	0.554878i
$67$	−6.63511	+	1.77787i	−0.810608	+	0.217202i	−0.640236	−	0.768178i	$-0.721163\pi$
$67$	−6.63511	+	1.77787i	−0.810608	+	0.217202i	−0.170372	+	0.985380i	$0.554497\pi$
$68$	−0.785497	+	2.93151i	−0.0952555	+	0.355498i
$69$	−15.4019	+	1.27080i	−1.85417	+	0.152986i
$70$	−15.9360	−	22.2615i	−1.90471	−	2.66076i
$71$	−2.59363	−	1.49743i	−0.307807	−	0.177712i	0.338138	−	0.941097i	$-0.390203\pi$
$71$	−2.59363	−	1.49743i	−0.307807	−	0.177712i	−0.645945	+	0.763384i	$0.723536\pi$
$72$	−6.35127	−	13.9796i	−0.748504	−	1.64751i
$73$	−0.738921	−	2.75769i	−0.0864841	−	0.322763i	0.909107	−	0.416563i	$-0.136765\pi$
$73$	−0.738921	−	2.75769i	−0.0864841	−	0.322763i	−0.995591	+	0.0937996i	$0.970099\pi$
$74$	−6.61712	−	11.4612i	−0.769225	−	1.33234i
$75$	4.21033	−	7.56790i	0.486167	−	0.873866i
$76$	−17.6908	+	1.65827i	−2.02928	+	0.190217i
$77$	−6.16253	−	1.65125i	−0.702286	−	0.188177i
$78$	−1.37014	+	7.55196i	−0.155138	+	0.855091i
$79$	−3.49518	+	2.01795i	−0.393239	+	0.227037i	−0.683563	−	0.729892i	$-0.739570\pi$
$79$	−3.49518	+	2.01795i	−0.393239	+	0.227037i	0.290324	+	0.956929i	$0.406237\pi$
$80$	4.12387	−	9.08982i	0.461063	−	1.01627i
$81$	6.77866	+	5.92028i	0.753184	+	0.657809i
$82$	−2.16963	+	8.09717i	−0.239596	+	0.894183i
$83$	−3.74158	+	1.00255i	−0.410692	+	0.110045i	−0.458249	−	0.888824i	$-0.651523\pi$
$83$	−3.74158	+	1.00255i	−0.410692	+	0.110045i	0.0475567	+	0.998869i	$0.484857\pi$
$84$	31.7094	+	14.9776i	3.45977	+	1.63419i
$85$	1.05676	−	1.28640i	0.114622	−	0.139529i
$86$	−14.6623	−	8.46527i	−1.58107	−	0.912834i
$87$	9.40712	+	1.70672i	1.00855	+	0.182980i
$88$	−1.70155	−	6.35026i	−0.181385	−	0.676939i
$89$	−8.16138	−	14.1359i	−0.865104	−	1.49840i	−0.866943	−	0.498407i	$-0.833919\pi$
$89$	−8.16138	−	14.1359i	−0.865104	−	1.49840i	0.00183892	−	0.999998i	$-0.499415\pi$
$90$	0.00884103	+	16.5359i	0.000931926	+	1.74303i
$91$	−4.46446	−	7.73267i	−0.468003	−	0.810604i
$92$	35.1319	+	9.41356i	3.66275	+	0.981431i
$93$	−2.22083	−	6.19683i	−0.230289	−	0.642581i
$94$	12.0390	−	6.95070i	1.24172	−	0.716910i
$95$	9.21312	+	3.18093i	0.945247	+	0.326357i
$96$	0.109256	+	1.32417i	0.0111509	+	0.135147i
$97$	4.29141	−	16.0158i	0.435727	−	1.62616i	−0.303593	−	0.952802i	$-0.598186\pi$
$97$	4.29141	−	16.0158i	0.435727	−	1.62616i	0.739320	−	0.673354i	$-0.235147\pi$
$98$	−42.0738	+	11.2736i	−4.25009	+	1.13881i
$99$	2.44764	+	2.97625i	0.245997	+	0.299125i
$100$	−15.3368	+	13.4237i	−1.53368	+	1.34237i
$101$		−	4.65214i		−	0.462905i	−0.972846	−	0.231453i	$-0.925652\pi$
$101$		−	4.65214i		−	0.462905i	0.972846	−	0.231453i	$-0.0743478\pi$
$102$	−0.567457	+	3.12771i	−0.0561866	+	0.309690i
$103$	−18.2022	−	4.87726i	−1.79351	−	0.480571i	−0.800578	−	0.599228i	$-0.795474\pi$
$103$	−18.2022	−	4.87726i	−1.79351	−	0.480571i	−0.992935	+	0.118658i	$0.962141\pi$
$104$	4.60045	−	7.96822i	0.451112	−	0.781348i
$105$	−12.4457	−	14.6683i	−1.21458	−	1.43148i
$106$	−4.77800	+	8.27573i	−0.464080	+	0.803810i
$107$	−9.12187	+	9.12187i	−0.881844	+	0.881844i	−0.993722	−	0.111878i	$-0.964314\pi$
$107$	−9.12187	+	9.12187i	−0.881844	+	0.881844i	0.111878	+	0.993722i	$0.464314\pi$
$108$	−10.3174	−	18.4986i	−0.992796	−	1.78003i
$109$	6.04580	+	3.49055i	0.579083	+	0.334334i	0.760769	−	0.649023i	$-0.224822\pi$
$109$	6.04580	+	3.49055i	0.579083	+	0.334334i	−0.181686	+	0.983357i	$0.558155\pi$
$110$	−1.15670	+	6.98488i	−0.110287	+	0.665982i
$111$	−5.29599	−	7.64361i	−0.502673	−	0.725499i
$112$	−15.6778	−	15.6778i	−1.48141	−	1.48141i
$113$	3.22109	−	12.0213i	0.303015	−	1.13087i	−0.631626	−	0.775273i	$-0.717612\pi$
$113$	3.22109	−	12.0213i	0.303015	−	1.13087i	0.934641	−	0.355593i	$-0.115721\pi$
$114$	−18.3237	+	3.25465i	−1.71617	+	0.304826i
$115$	−15.4164	−	12.6645i	−1.43759	−	1.18097i
$116$	−19.4863	−	11.2504i	−1.80926	−	1.04458i
$117$	−0.523129	+	5.36759i	−0.0483633	+	0.496234i
$118$	18.8791	+	5.05864i	1.73796	+	0.465685i
$119$	−1.84899	−	3.20255i	−0.169497	−	0.293577i
$120$	6.67766	−	18.6642i	0.609584	−	1.70380i
$121$	−4.67506	−	8.09743i	−0.425005	−	0.736130i
$122$	7.53260	+	2.01835i	0.681970	+	0.182733i
$123$	−1.05148	+	5.79558i	−0.0948092	+	0.522569i
$124$			15.4924i			1.39126i
$125$	10.7036	−	3.22987i	0.957363	−	0.288889i
$126$	34.3898	+	12.9033i	3.06368	+	1.14952i
$127$	3.00431	−	11.2122i	0.266589	−	0.994925i	−0.694681	−	0.719318i	$-0.744454\pi$
$127$	3.00431	−	11.2122i	0.266589	−	0.994925i	0.961270	−	0.275607i	$-0.0888789\pi$
$128$	−4.88654	+	18.2368i	−0.431914	+	1.61192i
$129$	−10.7567	−	5.08082i	−0.947074	−	0.447341i
$130$	−8.05706	+	5.76768i	−0.706651	+	0.505859i
$131$			2.99917i			0.262038i	0.991380	+	0.131019i	$0.0418249\pi$
$131$			2.99917i			0.262038i	−0.991380	+	0.131019i	$0.958175\pi$
$132$	−3.05961	−	8.53729i	−0.266305	−	0.743076i
$133$	13.8135	−	16.6710i	1.19779	−	1.44556i
$134$	16.9327			1.46276
$135$	0.961615	+	11.5791i	0.0827626	+	0.996569i
$136$	1.90532	−	3.30011i	0.163380	−	0.282982i
$137$	4.25295	−	4.25295i	0.363354	−	0.363354i	−0.501692	−	0.865046i	$-0.667289\pi$
$137$	4.25295	−	4.25295i	0.363354	−	0.363354i	0.865046	+	0.501692i	$0.167289\pi$
$138$	37.4831	+	6.80053i	3.19078	+	0.578899i
$139$	16.0161	+	9.24690i	1.35847	+	0.784312i	0.989417	−	0.145097i	$-0.0463495\pi$
$139$	16.0161	+	9.24690i	1.35847	+	0.784312i	0.369051	+	0.929409i	$0.379683\pi$
$140$	15.9270	+	42.3795i	1.34608	+	3.58172i
$141$	8.02893	−	5.56297i	0.676158	−	0.468486i
$142$	5.22015	+	5.22015i	0.438065	+	0.438065i
$143$	−0.597633	+	2.23040i	−0.0499766	+	0.186515i
$144$	2.19492	+	13.2105i	0.182910	+	1.10088i
$145$	7.18453	+	10.0363i	0.596642	+	0.833469i
$146$			7.03757i			0.582433i
$147$	−28.8117	+	10.3256i	−2.37635	+	0.851639i
$148$	5.66428	+	21.1394i	0.465601	+	1.73765i
$149$	0.227643			0.0186493			0.00932463	−	0.999957i	$-0.497032\pi$
$149$	0.227643			0.0186493			0.00932463	+	0.999957i	$0.497032\pi$
$150$	−14.8532	+	15.3332i	−1.21276	+	1.25195i
$151$	−8.59325	+	14.8840i	−0.699309	+	1.21124i	0.269397	+	0.963029i	$0.413176\pi$
$151$	−8.59325	+	14.8840i	−0.699309	+	1.21124i	−0.968706	+	0.248210i	$0.920158\pi$
$152$	21.9945	+	3.73784i	1.78399	+	0.303179i
$153$	−0.216658	+	2.22303i	−0.0175158	+	0.179722i
$154$	13.6197	+	7.86333i	1.09751	+	0.633645i
$155$	3.51107	−	7.73909i	0.282016	−	0.621619i
$156$	5.42082	−	11.4765i	0.434013	−	0.918857i
$157$	12.1570	+	12.1570i	0.970232	+	0.970232i	0.999570	−	0.0293375i	$-0.00933977\pi$
$157$	12.1570	+	12.1570i	0.970232	+	0.970232i	−0.0293375	+	0.999570i	$0.509340\pi$
$158$	9.60958	−	2.57488i	0.764497	−	0.204846i
$159$	−2.86773	+	6.07132i	−0.227426	+	0.481487i
$160$	−1.08882	+	1.32541i	−0.0860787	+	0.104783i
$161$	−38.3801	+	22.1587i	−3.02477	+	1.74635i
$162$	−12.3631	−	18.4211i	−0.971335	−	1.44730i
$163$	1.00796	−	1.00796i	0.0789492	−	0.0789492i	−0.666529	−	0.745479i	$-0.732221\pi$
$163$	1.00796	−	1.00796i	0.0789492	−	0.0789492i	0.745479	+	0.666529i	$0.232221\pi$
$164$	6.93121	−	12.0052i	0.541237	−	0.937449i
$165$	−0.406424	+	4.95814i	−0.0316400	+	0.385991i
$166$	9.54845			0.741103
$167$	0.409359	+	1.52775i	0.0316771	+	0.118221i	0.979954	−	0.199224i	$-0.0638420\pi$
$167$	0.409359	+	1.52775i	0.0316771	+	0.118221i	−0.948277	+	0.317444i	$0.897175\pi$
$168$	−33.5902	−	28.4697i	−2.59154	−	2.19648i
$169$	8.45966	−	4.88419i	0.650743	−	0.375707i
$170$	−3.33690	+	2.38874i	−0.255929	+	0.183208i
$171$	−12.6435	+	3.33786i	−0.966874	+	0.255252i
$172$	19.7973	+	19.7973i	1.50953	+	1.50953i
$173$	5.28628	−	19.7287i	0.401908	−	1.49994i	−0.407779	−	0.913081i	$-0.633697\pi$
$173$	5.28628	−	19.7287i	0.401908	−	1.49994i	0.809687	−	0.586862i	$-0.199637\pi$
$174$	−21.3098	−	10.0655i	−1.61549	−	0.763060i
$175$	1.64836	−	24.7799i	0.124604	−	1.87318i
$176$			5.73377i			0.432199i
$177$	13.5128	+	2.45161i	1.01568	+	0.184274i
$178$	10.4138	+	38.8650i	0.780550	+	2.91305i
$179$	13.5012			1.00912			0.504562	−	0.863376i	$-0.331654\pi$
$179$	13.5012			1.00912			0.504562	+	0.863376i	$0.331654\pi$
$180$	7.06327	−	26.4170i	0.526465	−	1.96900i
$181$	3.78127	+	6.54935i	0.281059	+	0.486809i	0.971646	−	0.236441i	$-0.0759809\pi$
$181$	3.78127	+	6.54935i	0.281059	+	0.486809i	−0.690587	+	0.723250i	$0.742648\pi$
$182$	5.69661	+	21.2600i	0.422261	+	1.57590i
$183$	5.39148	+	0.978171i	0.398550	+	0.0723085i
$184$	−39.5492	−	22.8337i	−2.91560	−	1.68332i
$185$	1.96132	−	11.8437i	0.144199	−	0.870768i
$186$	1.33431	+	16.1717i	0.0978367	+	1.18577i
$187$	−0.247515	+	0.923738i	−0.0181001	+	0.0675504i
$188$	−22.2050	+	5.94982i	−1.61947	+	0.433935i
$189$	24.8277	+	7.04883i	1.80595	+	0.512727i
$190$	−19.9073	−	13.4518i	−1.44423	−	0.975898i
$191$	−16.8944	−	9.75400i	−1.22244	−	0.705775i	−0.257001	−	0.966411i	$-0.582734\pi$
$191$	−16.8944	−	9.75400i	−1.22244	−	0.705775i	−0.965437	+	0.260636i	$0.916068\pi$
$192$	−2.17576	+	11.9924i	−0.157022	+	0.865475i
$193$	−4.58324	+	4.58324i	−0.329909	+	0.329909i	−0.852552	−	0.522643i	$-0.824946\pi$
$193$	−4.58324	+	4.58324i	−0.329909	+	0.329909i	0.522643	+	0.852552i	$0.324946\pi$
$194$	−20.4360	+	35.3961i	−1.46722	+	2.54130i
$195$	−5.30888	+	4.50447i	−0.380177	+	0.322572i
$196$	72.0306			5.14504
$197$	9.28182	−	9.28182i	0.661302	−	0.661302i	−0.294385	−	0.955687i	$-0.595115\pi$
$197$	9.28182	−	9.28182i	0.661302	−	0.661302i	0.955687	+	0.294385i	$0.0951147\pi$
$198$	−3.92906	−	8.64813i	−0.279226	−	0.614596i
$199$	3.93846	−	2.27387i	0.279190	−	0.161191i	−0.353866	−	0.935296i	$-0.615133\pi$
$199$	3.93846	−	2.27387i	0.279190	−	0.161191i	0.633057	+	0.774105i	$0.281800\pi$
$200$	22.9630	−	11.2964i	1.62373	−	0.798773i
$201$	11.8575	−	0.978350i	0.836361	−	0.0690075i
$202$	−2.96804	+	11.0769i	−0.208831	+	0.779367i
$203$	26.4826	−	7.09599i	1.85871	−	0.498041i
$204$	2.24508	−	4.75310i	0.157187	−	0.332783i
$205$	−6.18320	+	4.42627i	−0.431854	+	0.309144i
$206$	40.2283	+	23.2258i	2.80284	+	1.61822i
$207$	26.6413	+	2.59648i	1.85170	+	0.180468i
$208$	−5.67425	+	5.67425i	−0.393438	+	0.393438i
$209$	−5.57448	+	0.522532i	−0.385595	+	0.0361443i
$210$	20.2754	+	42.8660i	1.39913	+	2.95804i
$211$	10.3427			0.712019			0.356009	−	0.934482i	$-0.384137\pi$
$211$	10.3427			0.712019			0.356009	+	0.934482i	$0.384137\pi$
$212$	11.1740	−	11.1740i	0.767436	−	0.767436i
$213$	3.95714	+	3.35391i	0.271138	+	0.229806i
$214$	27.5391	−	15.8997i	1.88254	−	1.08688i
$215$	−5.40287	−	14.3763i	−0.368473	−	0.980454i
$216$	6.50158	+	25.7882i	0.442377	+	1.75466i
$217$	−13.3481	−	13.3481i	−0.906130	−	0.906130i
$218$	−12.1683	−	12.1683i	−0.824141	−	0.824141i
$219$	0.406623	+	4.92821i	0.0274770	+	0.333017i
$220$	4.83716	−	10.6621i	0.326121	−	0.718835i
$221$	−1.15909	+	0.669204i	−0.0779691	+	0.0450155i
$222$	7.73333	+	21.5785i	0.519027	+	1.44825i
$223$	−7.92043	−	2.12227i	−0.530391	−	0.142118i	−0.0163223	−	0.999867i	$-0.505196\pi$
$223$	−7.92043	−	2.12227i	−0.530391	−	0.142118i	−0.514069	+	0.857749i	$0.671862\pi$
$224$	1.90508	+	3.29969i	0.127288	+	0.220470i
$225$	−9.51534	+	11.5956i	−0.634356	+	0.773041i
$226$	−15.3390	+	26.5680i	−1.02034	+	1.76727i
$227$	−5.24772	−	19.5848i	−0.348304	−	1.29989i	−0.888705	−	0.458479i	$-0.848394\pi$
$227$	−5.24772	−	19.5848i	−0.348304	−	1.29989i	0.540401	−	0.841407i	$-0.318272\pi$
$228$	30.6619	+	2.64386i	2.03064	+	0.175094i
$229$	4.41559	−	2.54934i	0.291791	−	0.168465i	−0.346958	−	0.937881i	$-0.612786\pi$
$229$	4.41559	−	2.54934i	0.291791	−	0.168465i	0.638749	+	0.769415i	$0.279452\pi$
$230$	28.6271	+	39.9901i	1.88762	+	2.63687i
$231$	9.99181	+	4.71954i	0.657413	+	0.310523i
$232$	19.9772	+	19.9772i	1.31156	+	1.31156i
$233$	−12.6068	+	3.37799i	−0.825902	+	0.221300i	−0.646925	−	0.762554i	$-0.723945\pi$
$233$	−12.6068	+	3.37799i	−0.825902	+	0.221300i	−0.178977	+	0.983853i	$0.557279\pi$
$234$	4.67008	−	12.4466i	0.305293	−	0.813662i
$235$	12.4408	+	2.06019i	0.811547	+	0.134392i
$236$	−27.9909	−	16.1606i	−1.82205	−	1.05196i
$237$	6.58054	−	2.35834i	0.427452	−	0.153191i
$238$	2.35930	+	8.80502i	0.152931	+	0.570745i
$239$	8.99399	+	15.5781i	0.581773	+	1.00766i	0.995269	+	0.0971548i	$0.0309742\pi$
$239$	8.99399	+	15.5781i	0.581773	+	1.00766i	−0.413496	+	0.910506i	$0.635692\pi$
$240$	−9.83856	+	14.2160i	−0.635076	+	0.917642i
$241$	5.61922			0.361966			0.180983	−	0.983486i	$-0.442072\pi$
$241$	5.61922			0.361966			0.180983	+	0.983486i	$0.442072\pi$
$242$	5.96532	+	22.2629i	0.383466	+	1.43111i
$243$	−9.72186	−	12.1855i	−0.623658	−	0.781698i
$244$	−11.1682	−	6.44794i	−0.714968	−	0.412787i
$245$	−35.9823	−	16.3245i	−2.29883	−	1.04293i
$246$	6.20117	−	13.1286i	0.395372	−	0.837049i
$247$	−6.03373	−	4.99951i	−0.383917	−	0.318111i
$248$	5.03458	−	18.7893i	0.319696	−	1.19312i
$249$	6.68650	−	0.551698i	0.423740	−	0.0349625i
$250$	−27.5463	+	0.861552i	−1.74218	+	0.0544893i
$251$	−2.67972	+	1.54714i	−0.169142	+	0.0976544i	−0.582181	−	0.813059i	$-0.697801\pi$
$251$	−2.67972	+	1.54714i	−0.169142	+	0.0976544i	0.413039	+	0.910713i	$0.364467\pi$
$252$	−49.4090	−	35.3297i	−3.11247	−	2.22556i
$253$	11.0703	+	2.96627i	0.695982	+	0.186488i
$254$	−14.3067	+	24.7799i	−0.897682	+	1.55483i
$255$	−2.19872	+	1.86556i	−0.137689	+	0.116826i
$256$	16.2332	−	28.1167i	1.01457	−	1.75729i
$257$	4.16111	+	15.5295i	0.259563	+	0.968703i	0.965495	+	0.260423i	$0.0838620\pi$
$257$	4.16111	+	15.5295i	0.259563	+	0.968703i	−0.705931	+	0.708280i	$0.749471\pi$
$258$	22.3705	+	18.9603i	1.39272	+	1.18042i
$259$	−23.0939	−	13.3332i	−1.43498	−	0.828488i
$260$	15.3383	−	5.76442i	0.951243	−	0.357494i
$261$	−15.5042	−	5.81730i	−0.959685	−	0.360082i
$262$	1.91345	−	7.14110i	0.118214	−	0.441179i
$263$	2.61625	−	9.76399i	0.161325	−	0.602073i	−0.837155	−	0.546965i	$-0.815783\pi$
$263$	2.61625	−	9.76399i	0.161325	−	0.602073i	0.998480	−	0.0551081i	$-0.0175503\pi$
$264$	0.936348	+	11.3484i	0.0576282	+	0.698446i
$265$	−8.11431	+	3.04951i	−0.498458	+	0.187330i
$266$	−43.5265	+	30.8813i	−2.66878	+	1.89345i
$267$	9.53808	+	26.6143i	0.583721	+	1.62877i
$268$	−27.0470	−	7.24721i	−1.65216	−	0.442694i
$269$	−5.91068	+	10.2376i	−0.360381	+	0.624198i	−0.988023	−	0.154304i	$-0.950687\pi$
$269$	−5.91068	+	10.2376i	−0.360381	+	0.624198i	0.627643	+	0.778502i	$0.284020\pi$
$270$	5.09777	−	28.1837i	0.310240	−	1.71520i
$271$	15.4577	−	26.7735i	0.938988	−	1.62637i	0.171624	−	0.985163i	$-0.445099\pi$
$271$	15.4577	−	26.7735i	0.938988	−	1.62637i	0.767364	−	0.641212i	$-0.221568\pi$
$272$	−2.35004	+	2.35004i	−0.142492	+	0.142492i
$273$	5.21755	+	14.5586i	0.315780	+	0.881129i
$274$	−12.8398	+	7.41304i	−0.775678	+	0.447838i
$275$	−4.83273	+	4.22989i	−0.291425	+	0.255072i
$276$	−56.9621	−	26.9055i	−3.42872	−	1.61952i
$277$	−7.71928	+	2.06837i	−0.463806	+	0.124277i	−0.483152	−	0.875536i	$-0.660508\pi$
$277$	−7.71928	+	2.06837i	−0.463806	+	0.124277i	0.0193460	+	0.999813i	$0.493842\pi$
$278$	−32.2353	−	32.2353i	−1.93335	−	1.93335i
$279$	1.86876	+	11.2475i	0.111880	+	0.673369i
$280$	−5.54429	−	56.5741i	−0.331335	−	3.38095i
$281$		−	14.9644i		−	0.892700i	−0.894859	−	0.446350i	$-0.852724\pi$
$281$		−	14.9644i		−	0.892700i	0.894859	−	0.446350i	$-0.147276\pi$
$282$	−22.6663	+	8.12318i	−1.34976	+	0.483728i
$283$	0.118736	−	0.118736i	0.00705812	−	0.00705812i	−0.703569	−	0.710627i	$-0.748411\pi$
$283$	0.118736	−	0.118736i	0.00705812	−	0.00705812i	0.710627	+	0.703569i	$0.248411\pi$
$284$	−6.10404	−	10.5725i	−0.362208	−	0.627363i
$285$	−14.7177	−	8.26971i	−0.871804	−	0.489855i
$286$	2.84596	−	4.92935i	0.168285	−	0.291479i
$287$	4.37173	+	16.3155i	0.258055	+	0.963074i
$288$	0.223230	−	2.29046i	0.0131540	−	0.134967i
$289$	14.2424	−	8.22284i	0.837787	−	0.483697i
$290$	−10.7035	−	28.4804i	−0.628529	−	1.67243i
$291$	−12.2656	+	25.9677i	−0.719021	+	1.52225i
$292$	3.01209	−	11.2413i	0.176269	−	0.657847i
$293$	−6.47262	+	24.1561i	−0.378134	+	1.41122i	0.470577	+	0.882359i	$0.344046\pi$
$293$	−6.47262	+	24.1561i	−0.378134	+	1.41122i	−0.848711	+	0.528857i	$0.822621\pi$
$294$	75.1891	−	6.20379i	4.38512	−	0.361813i
$295$	10.3201	+	14.4165i	0.600862	+	0.839364i
$296$		−	27.4788i		−	1.59717i
$297$	−3.25109	−	5.82902i	−0.188647	−	0.338234i
$298$	−0.542025	−	0.145235i	−0.0313987	−	0.00841325i
$299$	8.01988	+	13.8908i	0.463801	+	0.803328i
$300$	30.2881	−	18.1349i	1.74868	−	1.04702i
$301$	−34.1144			−1.96632
$302$	29.9567	−	29.9567i	1.72381	−	1.72381i
$303$	−1.43843	+	7.92832i	−0.0826354	+	0.455470i
$304$	−17.6852	−	8.11370i	−1.01432	−	0.465353i
$305$	4.11765	+	5.75208i	0.235776	+	0.329363i
$306$	1.93415	−	5.15488i	0.110568	−	0.294685i
$307$	20.9808	−	5.62178i	1.19744	−	0.320852i	0.395615	−	0.918417i	$-0.370532\pi$
$307$	20.9808	−	5.62178i	1.19744	−	0.320852i	0.801821	+	0.597565i	$0.203865\pi$
$308$	−18.3896	−	18.3896i	−1.04784	−	1.04784i
$309$	29.5126	+	13.9400i	1.67892	+	0.793020i
$310$	−13.2975	+	16.1870i	−0.755246	+	0.919358i
$311$	5.20599	−	3.00568i	0.295205	−	0.170437i	−0.345082	−	0.938573i	$-0.612149\pi$
$311$	5.20599	−	3.00568i	0.295205	−	0.170437i	0.640287	+	0.768136i	$0.278816\pi$
$312$	−10.3040	+	12.1572i	−0.583348	+	0.688268i
$313$	3.45521	−	3.45521i	0.195300	−	0.195300i	−0.602682	−	0.797982i	$-0.705901\pi$
$313$	3.45521	−	3.45521i	0.195300	−	0.195300i	0.797982	+	0.602682i	$0.205901\pi$
$314$	−21.1900	−	36.7022i	−1.19582	−	2.07123i
$315$	16.6750	+	28.8463i	0.939531	+	1.62531i
$316$	−16.4517			−0.925479
$317$	−0.406004	+	0.406004i	−0.0228035	+	0.0228035i	−0.718417	−	0.695613i	$-0.755133\pi$
$317$	−0.406004	+	0.406004i	−0.0228035	+	0.0228035i	0.695613	+	0.718417i	$0.255133\pi$
$318$	10.7016	−	12.6264i	0.600118	−	0.708054i
$319$	−6.14026	−	3.54508i	−0.343789	−	0.198486i
$320$	−12.7945	+	9.15896i	−0.715232	+	0.512002i
$321$	18.3662	−	12.7253i	1.02510	−	0.710257i
$322$	105.521	−	28.2743i	5.88047	−	1.57567i
$323$	−2.49892	−	2.07059i	−0.139044	−	0.115211i
$324$	11.8636	+	34.7159i	0.659088	+	1.92866i
$325$	−8.96855	−	0.596589i	−0.497485	−	0.0330928i
$326$	−3.04304	+	1.75690i	−0.168539	+	0.0973058i
$327$	−9.22417	−	7.81803i	−0.510098	−	0.432338i
$328$	−12.3076	+	12.3076i	−0.679574	+	0.679574i
$329$	14.0054	−	24.2581i	0.772142	−	1.33739i
$330$	4.13098	−	11.5462i	0.227403	−	0.635597i
$331$	3.24177	−	5.61491i	0.178184	−	0.308623i	−0.763075	−	0.646310i	$-0.776311\pi$
$331$	3.24177	−	5.61491i	0.178184	−	0.308623i	0.941259	+	0.337687i	$0.109644\pi$
$332$	−15.2520	−	4.08676i	−0.837061	−	0.224290i
$333$	6.66221	+	14.6640i	0.365087	+	0.803580i
$334$		−	3.89878i		−	0.213332i
$335$	11.8686	+	9.75001i	0.648454	+	0.532700i
$336$	21.8711	+	31.5661i	1.19316	+	1.72207i
$337$	−11.4831	−	11.4831i	−0.625525	−	0.625525i	0.321414	−	0.946939i	$-0.395842\pi$
$337$	−11.4831	−	11.4831i	−0.625525	−	0.625525i	−0.946939	+	0.321414i	$0.895842\pi$
$338$	−23.2588	+	6.23217i	−1.26511	+	0.338986i
$339$	−9.20641	+	19.4910i	−0.500023	+	1.05861i
$340$	6.35250	−	2.38739i	0.344513	−	0.129474i
$341$			4.88174i			0.264361i
$342$	32.2341	+	0.118964i	1.74302	+	0.00643283i
$343$	−37.4761	+	37.4761i	−2.02352	+	2.02352i
$344$	−17.5768	−	30.4439i	−0.947678	−	1.64143i
$345$	22.3573	+	26.3499i	1.20368	+	1.41863i
$346$	−25.1736	+	43.6019i	−1.35334	+	2.34405i
$347$	8.50628	−	8.50628i	0.456641	−	0.456641i	−0.440910	−	0.897551i	$-0.645344\pi$
$347$	8.50628	−	8.50628i	0.456641	−	0.456641i	0.897551	+	0.440910i	$0.145344\pi$
$348$	29.7306	+	25.1984i	1.59373	+	1.35078i
$349$	−7.47945	−	4.31826i	−0.400366	−	0.231151i	0.286276	−	0.958147i	$-0.407583\pi$
$349$	−7.47945	−	4.31826i	−0.400366	−	0.231151i	−0.686642	+	0.726996i	$0.740916\pi$
$350$	−19.7342	+	57.9500i	−1.05484	+	3.09756i
$351$	2.55117	−	8.98585i	0.136171	−	0.479629i
$352$	0.255022	−	0.951757i	0.0135927	−	0.0507288i
$353$	13.1077	−	3.51220i	0.697652	−	0.186935i	0.107473	−	0.994208i	$-0.465724\pi$
$353$	13.1077	−	3.51220i	0.697652	−	0.186935i	0.590179	+	0.807273i	$0.299057\pi$
$354$	−30.6102	−	14.4584i	−1.62691	−	0.768457i
$355$	0.653153	+	6.66479i	0.0346657	+	0.353730i
$356$		−	66.5371i		−	3.52646i
$357$	2.16089	+	6.02959i	0.114367	+	0.319120i
$358$	−32.1467	−	8.61367i	−1.69900	−	0.455247i
$359$	−1.34580	+	2.33100i	−0.0710287	+	0.123025i	−0.899352	−	0.437225i	$-0.855962\pi$
$359$	−1.34580	+	2.33100i	−0.0710287	+	0.123025i	0.828324	+	0.560250i	$0.189295\pi$
$360$	−17.1512	+	29.7434i	−0.903946	+	1.56762i
$361$	6.27661	−	17.9333i	0.330348	−	0.943859i
$362$	−4.82486	−	18.0066i	−0.253589	−	0.946407i
$363$	5.46367	+	15.2454i	0.286768	+	0.800176i
$364$		−	36.3973i		−	1.90774i
$365$	−4.05231	+	4.93286i	−0.212107	+	0.258198i
$366$	−12.2132	−	5.76879i	−0.638395	−	0.301540i
$367$	−22.0837	−	22.0837i	−1.15276	−	1.15276i	−0.985997	−	0.166762i	$-0.946669\pi$
$367$	−22.0837	−	22.0837i	−1.15276	−	1.15276i	−0.166762	−	0.985997i	$-0.553331\pi$
$368$	28.1634	+	28.1634i	1.46812	+	1.46812i
$369$	3.58394	−	9.55187i	0.186573	−	0.497251i
$370$	−12.2262	+	26.9489i	−0.635610	+	1.40101i
$371$			19.2550i			0.999668i
$372$	4.79019	−	26.4026i	0.248360	−	1.36891i
$373$	−18.5037	−	4.95804i	−0.958083	−	0.256718i	−0.254294	−	0.967127i	$-0.581843\pi$
$373$	−18.5037	−	4.95804i	−0.958083	−	0.256718i	−0.703789	+	0.710409i	$0.748510\pi$
$374$	1.17868	−	2.04153i	0.0609481	−	0.105565i
$375$	−19.2401	+	2.19491i	−0.993556	+	0.113345i
$376$	28.8640			1.48855
$377$	−2.56824	−	9.58480i	−0.132271	−	0.493642i
$378$	−54.6184	−	32.6234i	−2.80927	−	1.67797i
$379$			5.64013i			0.289714i	0.989453	+	0.144857i	$0.0462722\pi$
$379$			5.64013i			0.289714i	−0.989453	+	0.144857i	$0.953728\pi$
$380$	26.0410	+	30.0073i	1.33588	+	1.53934i
$381$	−8.58682	+	18.1793i	−0.439916	+	0.931354i
$382$	34.0031	+	34.0031i	1.73975	+	1.73975i
$383$	8.32501	+	8.32501i	0.425388	+	0.425388i	0.887054	−	0.461666i	$-0.152748\pi$
$383$	8.32501	+	8.32501i	0.425388	+	0.425388i	−0.461666	+	0.887054i	$0.652748\pi$
$384$	13.9666	−	29.5688i	0.712728	−	1.50893i
$385$	5.01869	+	13.3540i	0.255776	+	0.680584i
$386$	13.8369	−	7.98875i	0.704281	−	0.406617i
$387$	16.7609	+	11.9848i	0.852004	+	0.609222i
$388$	47.7925	−	47.7925i	2.42630	−	2.42630i
$389$	10.4718			0.530939			0.265469	−	0.964119i	$-0.414473\pi$
$389$	10.4718			0.530939			0.265469	+	0.964119i	$0.414473\pi$
$390$	15.5144	−	7.33824i	0.785604	−	0.371586i
$391$	3.32150	+	5.75301i	0.167976	+	0.290942i
$392$	−87.3595	−	23.4079i	−4.41232	−	1.18228i
$393$	0.927331	−	5.11127i	0.0467777	−	0.257829i
$394$	−28.0221	+	16.1785i	−1.41173	+	0.815063i
$395$	8.21830	+	3.72848i	0.413508	+	0.187600i
$396$	2.57457	+	15.4955i	0.129377	+	0.778679i
$397$	−13.0630	+	3.50023i	−0.655614	+	0.175671i	−0.571266	−	0.820765i	$-0.693548\pi$
$397$	−13.0630	+	3.50023i	−0.655614	+	0.175671i	−0.0843484	+	0.996436i	$0.526881\pi$
$398$	−10.8283	+	2.90144i	−0.542775	+	0.145436i
$399$	−28.6961	+	24.1402i	−1.43660	+	1.20852i
$400$	−21.8948	+	4.33301i	−1.09474	+	0.216650i
$401$		−	15.7991i		−	0.788968i	−0.918903	−	0.394484i	$-0.870923\pi$
$401$		−	15.7991i		−	0.788968i	0.918903	−	0.394484i	$-0.129077\pi$
$402$	−28.8571	−	5.23552i	−1.43926	−	0.261124i
$403$	−4.83107	+	4.83107i	−0.240653	+	0.240653i
$404$	9.48186	−	16.4231i	0.471740	−	0.817078i
$405$	1.94140	−	20.0308i	0.0964690	−	0.995336i
$406$	−67.5831			−3.35409
$407$	1.78485	+	6.66115i	0.0884717	+	0.330181i
$408$	−4.26748	+	5.03502i	−0.211272	+	0.249271i
$409$	−22.9102	−	13.2272i	−1.13284	−	0.654044i	−0.188191	−	0.982132i	$-0.560262\pi$
$409$	−22.9102	−	13.2272i	−1.13284	−	0.654044i	−0.944647	+	0.328088i	$0.893596\pi$
$410$	17.5463	−	6.59423i	0.866551	−	0.325666i
$411$	−8.56299	+	5.93300i	−0.422381	+	0.292653i
$412$	−54.3169	−	54.3169i	−2.67600	−	2.67600i
$413$	38.0407	−	10.1930i	1.87186	−	0.501563i
$414$	−61.7772	−	23.1793i	−3.03618	−	1.13920i
$415$	6.69281	+	5.49810i	0.328537	+	0.269891i
$416$	1.19425	−	0.689502i	0.0585530	−	0.0338056i
$417$	−24.4360	−	20.7110i	−1.19664	−	1.01422i
$418$	13.6064	+	2.31233i	0.665510	+	0.113100i
$419$	−9.66143	−	16.7341i	−0.471992	−	0.817513i	0.527495	−	0.849558i	$-0.323131\pi$
$419$	−9.66143	−	16.7341i	−0.471992	−	0.817513i	−0.999486	+	0.0320449i	$0.989798\pi$
$420$	−14.0396	−	77.1489i	−0.685064	−	3.76448i
$421$	7.92560	+	13.7275i	0.386270	+	0.669040i	0.991945	−	0.126673i	$-0.0404299\pi$
$421$	7.92560	+	13.7275i	0.386270	+	0.669040i	−0.605674	+	0.795713i	$0.707097\pi$
$422$	−24.6262	−	6.59857i	−1.19879	−	0.321214i
$423$	−15.4032	+	6.99806i	−0.748929	+	0.340257i
$424$	−17.1833	+	9.92076i	−0.834493	+	0.481794i
$425$	−3.71440	−	0.247082i	−0.180175	−	0.0119853i
$426$	−7.28228	−	10.5104i	−0.352828	−	0.509230i
$427$	15.1779	−	4.06691i	0.734511	−	0.196812i
$428$	−50.7941	+	13.6102i	−2.45522	+	0.657876i
$429$	1.70813	−	3.61632i	0.0824695	−	0.174598i
$430$	3.69240	+	37.6774i	0.178063	+	1.81696i
$431$	29.7448	−	17.1732i	1.43276	−	0.827202i	0.435426	−	0.900225i	$-0.356598\pi$
$431$	29.7448	−	17.1732i	1.43276	−	0.827202i	0.997330	+	0.0730223i	$0.0232644\pi$
$432$	0.343996	−	23.1924i	0.0165505	−	1.11585i
$433$	23.9092	+	6.40645i	1.14900	+	0.307874i	0.782565	−	0.622568i	$-0.213911\pi$
$433$	23.9092	+	6.40645i	1.14900	+	0.307874i	0.366437	+	0.930443i	$0.380577\pi$
$434$	23.2663	+	40.2983i	1.11682	+	1.93438i
$435$	−9.14089	−	19.3256i	−0.438272	−	0.926591i
$436$	14.2287	+	24.6448i	0.681429	+	1.18027i
$437$	−24.8144	+	29.9476i	−1.18703	+	1.43259i
$438$	2.17599	−	11.9936i	0.103973	−	0.573078i
$439$	−11.4434	+	6.60683i	−0.546162	+	0.315327i	−0.747572	−	0.664180i	$-0.768781\pi$
$439$	−11.4434	+	6.60683i	−0.546162	+	0.315327i	0.201411	+	0.979507i	$0.435447\pi$
$440$	−9.33143	+	11.3591i	−0.444858	+	0.541524i
$441$	52.2943	−	8.68868i	2.49021	−	0.413746i
$442$	3.18679	−	0.853897i	0.151580	−	0.0406157i
$443$	−6.44551	−	6.44551i	−0.306236	−	0.306236i	0.537212	−	0.843447i	$-0.319478\pi$
$443$	−6.44551	−	6.44551i	−0.306236	−	0.306236i	−0.843447	+	0.537212i	$0.819478\pi$
$444$	−3.11701	−	37.7777i	−0.147927	−	1.79285i
$445$	−15.0795	+	33.2381i	−0.714836	+	1.57564i
$446$	17.5048	+	10.1064i	0.828875	+	0.478551i
$447$	−0.387956	−	0.0703865i	−0.0183497	−	0.00332917i
$448$	9.04610	+	33.7605i	0.427388	+	1.59503i
$449$	23.0010			1.08549			0.542743	−	0.839899i	$-0.317386\pi$
$449$	23.0010			1.08549			0.542743	+	0.839899i	$0.317386\pi$
$450$	30.0543	−	21.5388i	1.41677	−	1.01535i
$451$	2.18407	−	3.78292i	0.102844	−	0.178131i
$452$	35.8725	−	35.8725i	1.68730	−	1.68730i
$453$	19.2469	−	22.7087i	0.904300	−	1.06695i
$454$			49.9799i			2.34568i
$455$	−8.24881	+	18.1820i	−0.386710	+	0.852385i
$456$	−36.3280	−	13.1708i	−1.70121	−	0.616777i
$457$	14.9619	−	4.00903i	0.699888	−	0.187534i	0.108708	−	0.994074i	$-0.465329\pi$
$457$	14.9619	−	4.00903i	0.699888	−	0.187534i	0.591181	+	0.806539i	$0.298662\pi$
$458$	−12.1401	+	3.25294i	−0.567271	+	0.152000i
$459$	1.05659	−	3.72157i	0.0493174	−	0.173708i
$460$	−28.6109	−	76.1297i	−1.33399	−	3.54957i
$461$	−30.0198	+	17.3320i	−1.39816	+	0.807230i	−0.994200	−	0.107546i	$-0.965701\pi$
$461$	−30.0198	+	17.3320i	−1.39816	+	0.807230i	−0.403963	+	0.914775i	$0.632367\pi$
$462$	−20.7798	−	17.6121i	−0.966762	−	0.819388i
$463$	−7.58917	−	2.03351i	−0.352698	−	0.0945053i	0.0781198	−	0.996944i	$-0.475108\pi$
$463$	−7.58917	−	2.03351i	−0.352698	−	0.0945053i	−0.430818	+	0.902439i	$0.641775\pi$
$464$	−12.3200	−	21.3389i	−0.571942	−	0.990633i
$465$	−8.37657	+	12.1036i	−0.388454	+	0.561290i
$466$	32.1724			1.49036
$467$	3.62333	−	3.62333i	0.167668	−	0.167668i	−0.618286	−	0.785954i	$-0.712172\pi$
$467$	3.62333	−	3.62333i	0.167668	−	0.167668i	0.785954	+	0.618286i	$0.212172\pi$
$468$	−12.7868	+	17.8825i	−0.591071	+	0.826620i
$469$	29.5477	−	17.0593i	1.36438	−	0.787727i
$470$	−28.3075	−	12.8425i	−1.30573	−	0.592382i
$471$	−16.9594	−	24.4772i	−0.781447	−	1.12785i
$472$	28.6960	+	28.6960i	1.32084	+	1.32084i
$473$	6.23824	+	6.23824i	0.286835	+	0.286835i
$474$	−17.1731	+	1.41694i	−0.788785	+	0.0650821i
$475$	−6.20796	−	20.8917i	−0.284841	−	0.958575i
$476$		−	15.0743i		−	0.690928i
$477$	6.76450	−	9.46024i	0.309725	−	0.433155i
$478$	−11.4762	−	42.8299i	−0.524911	−	1.95900i
$479$	−10.4023			−0.475294			−0.237647	−	0.971352i	$-0.576376\pi$
$479$	−10.4023			−0.475294			−0.237647	+	0.971352i	$0.576376\pi$
$480$	2.26541	−	1.92215i	0.103401	−	0.0877338i
$481$	−4.82568	+	8.35833i	−0.220032	+	0.381107i
$482$	−13.3795	−	3.58504i	−0.609421	−	0.163294i
$483$	72.2598	−	25.8966i	3.28794	−	1.17834i
$484$		−	38.1142i		−	1.73247i
$485$	−34.7057	+	13.0430i	−1.57590	+	0.592254i
$486$	15.3738	+	35.2164i	0.697369	+	1.59745i
$487$	−4.66913	−	4.66913i	−0.211579	−	0.211579i	0.593359	−	0.804938i	$-0.297801\pi$
$487$	−4.66913	−	4.66913i	−0.211579	−	0.211579i	−0.804938	+	0.593359i	$0.797801\pi$
$488$	11.4495	+	11.4495i	0.518293	+	0.518293i
$489$	−2.02944	+	1.40613i	−0.0917746	+	0.0635875i
$490$	75.2601	+	61.8256i	3.39990	+	2.79300i
$491$		−	35.3034i		−	1.59322i	−0.604494	−	0.796610i	$-0.706625\pi$
$491$		−	35.3034i		−	1.59322i	0.604494	−	0.796610i	$-0.293375\pi$
$492$	−15.5243	+	18.3165i	−0.699891	+	0.825773i
$493$	−1.06366	−	3.96963i	−0.0479048	−	0.178783i
$494$	11.1768	+	15.7535i	0.502869	+	0.708782i
$495$	2.22568	−	8.32414i	0.100037	−	0.374142i
$496$	−8.48262	+	14.6923i	−0.380881	+	0.659705i
$497$	14.3684	+	3.85000i	0.644511	+	0.172696i
$498$	−16.2727	−	2.95235i	−0.729199	−	0.132298i
$499$		−	34.0002i		−	1.52206i	−0.648718	−	0.761028i	$-0.724695\pi$
$499$		−	34.0002i		−	1.52206i	0.648718	−	0.761028i	$-0.275305\pi$
$500$	44.3692	+	10.4137i	1.98425	+	0.465715i
$501$	−0.225267	−	2.73020i	−0.0100642	−	0.121977i
$502$	7.36755	−	1.97413i	0.328830	−	0.0881097i
$503$	2.70423	−	10.0923i	0.120576	−	0.449995i	−0.879068	−	0.476697i	$-0.841834\pi$
$503$	2.70423	−	10.0923i	0.120576	−	0.449995i	0.999643	+	0.0267019i	$0.00850050\pi$
$504$	48.4426	+	58.9048i	2.15781	+	2.62383i
$505$	−8.45859	+	6.05511i	−0.376402	+	0.269449i
$506$	−24.4662	−	14.1256i	−1.08765	−	0.627957i
$507$	−15.9274	+	5.70808i	−0.707359	+	0.253505i
$508$	33.4583	−	33.4583i	1.48447	−	1.48447i
$509$	−7.24125	+	12.5422i	−0.320963	+	0.555924i	−0.980687	−	0.195584i	$-0.937340\pi$
$509$	−7.24125	+	12.5422i	−0.320963	+	0.555924i	0.659724	+	0.751508i	$0.270673\pi$
$510$	6.42543	−	3.03919i	0.284523	−	0.134578i
$511$	7.09022	+	12.2806i	0.313653	+	0.543263i
$512$	−29.8895	+	29.8895i	−1.32094	+	1.32094i
$513$	22.5795	−	1.77914i	0.996910	−	0.0785511i
$514$		−	39.6310i		−	1.74805i
$515$	14.8236	+	39.4436i	0.653207	+	1.73809i
$516$	−27.6179	−	39.8604i	−1.21581	−	1.75475i
$517$	−6.99694	+	1.87483i	−0.307725	+	0.0824547i
$518$	46.4806	+	46.4806i	2.04224	+	2.04224i
$519$	−15.1091	+	31.9877i	−0.663214	+	1.40410i
$520$	−20.4758	+	2.00664i	−0.897922	+	0.0879968i
$521$		−	26.7494i		−	1.17191i	−0.810343	−	0.585955i	$-0.800719\pi$
$521$		−	26.7494i		−	1.17191i	0.810343	−	0.585955i	$-0.199281\pi$
$522$	33.2045	+	23.7427i	1.45332	+	1.03919i
$523$	24.6849	+	6.61430i	1.07939	+	0.289223i	0.754348	−	0.656475i	$-0.227953\pi$
$523$	24.6849	+	6.61430i	1.07939	+	0.289223i	0.325047	+	0.945698i	$0.394620\pi$
$524$	−6.11281	+	10.5877i	−0.267039	+	0.462526i
$525$	−10.4710	+	41.7209i	−0.456994	+	1.82085i
$526$	−12.4588	+	21.5792i	−0.543227	+	0.940898i
$527$	−2.00083	+	2.00083i	−0.0871575	+	0.0871575i
$528$	1.77286	−	9.77165i	0.0771538	−	0.425257i
$529$	49.0267	−	28.3056i	2.13159	−	1.23068i
$530$	21.2660	−	2.08408i	0.923735	−	0.0905265i
$531$	−22.2708	−	8.35620i	−0.966471	−	0.362628i
$532$	82.7432	−	30.6981i	3.58737	−	1.33093i
$533$	5.90504	−	1.58225i	0.255776	−	0.0685349i
$534$	−5.73066	−	69.4548i	−0.247990	−	3.00560i
$535$	28.4583	+	4.71270i	1.23036	+	0.203748i
$536$	30.4477	+	17.5790i	1.31514	+	0.759297i
$537$	−23.0091	−	4.17451i	−0.992914	−	0.180143i
$538$	20.6051	−	20.6051i	0.888347	−	0.888347i
$539$	22.6973			0.977641
$540$	−20.2055	+	42.8366i	−0.869504	+	1.84339i
$541$	5.09422	+	8.82344i	0.219018	+	0.379349i	0.954508	−	0.298186i	$-0.0963815\pi$
$541$	5.09422	+	8.82344i	0.219018	+	0.379349i	−0.735490	+	0.677535i	$0.763048\pi$
$542$	−53.8866	+	53.8866i	−2.31463	+	2.31463i
$543$	−4.41911	−	12.3307i	−0.189642	−	0.529163i
$544$	0.494610	−	0.285563i	0.0212062	−	0.0122434i
$545$	−1.52251	−	15.5358i	−0.0652173	−	0.665480i
$546$	−3.13480	−	37.9933i	−0.134157	−	1.62596i
$547$	15.3250	+	15.3250i	0.655248	+	0.655248i	0.954252	−	0.299004i	$-0.0966545\pi$
$547$	15.3250	+	15.3250i	0.655248	+	0.655248i	−0.299004	+	0.954252i	$0.596654\pi$
$548$	23.6821	−	6.34559i	1.01165	−	0.271070i
$549$	−8.88587	−	3.33405i	−0.379240	−	0.142294i
$550$	14.2055	−	6.98823i	0.605726	−	0.297979i
$551$	19.6233	−	13.9224i	0.835983	−	0.593116i
$552$	60.3408	+	51.1424i	2.56827	+	2.17676i
$553$	14.1747	−	14.1747i	0.602768	−	0.602768i
$554$	19.6994			0.836949
$555$	−7.00458	+	19.5780i	−0.297328	+	0.831039i
$556$	37.6935	+	65.2871i	1.59856	+	2.76879i
$557$	−41.1747	−	11.0327i	−1.74463	−	0.467472i	−0.761161	−	0.648563i	$-0.775370\pi$
$557$	−41.1747	−	11.0327i	−1.74463	−	0.467472i	−0.983466	+	0.181091i	$0.942037\pi$
$558$	2.72626	−	27.9729i	0.115412	−	1.18419i
$559$			12.3470i			0.522222i
$560$	−8.09975	+	48.9115i	−0.342277	+	2.06689i
$561$	0.707438	−	1.49773i	0.0298681	−	0.0632342i
$562$	−9.54720	+	35.6306i	−0.402724	+	1.50299i
$563$	6.68288	−	24.9408i	0.281650	−	1.05113i	−0.669603	−	0.742719i	$-0.733536\pi$
$563$	6.68288	−	24.9408i	0.281650	−	1.05113i	0.951253	−	0.308412i	$-0.0997975\pi$
$564$	39.6821	−	3.27414i	1.67092	−	0.137866i
$565$	−26.0497	+	9.78996i	−1.09592	+	0.411867i
$566$	−0.358467	+	0.206961i	−0.0150675	+	0.00869921i
$567$	−40.1326	−	19.6895i	−1.68541	−	0.826879i
$568$	3.96728	+	14.8061i	0.166463	+	0.621250i
$569$	−2.58235	+	4.47276i	−0.108258	+	0.187508i	−0.915065	−	0.403307i	$-0.867861\pi$
$569$	−2.58235	+	4.47276i	−0.108258	+	0.187508i	0.806807	+	0.590815i	$0.201194\pi$
$570$	29.7674	+	29.0803i	1.24682	+	1.21804i
$571$	5.67336	+	9.82654i	0.237423	+	0.411228i	0.959974	−	0.280089i	$-0.0903640\pi$
$571$	5.67336	+	9.82654i	0.237423	+	0.411228i	−0.722551	+	0.691317i	$0.757031\pi$
$572$	−6.65570	+	6.65570i	−0.278289	+	0.278289i
$573$	25.7761	+	21.8468i	1.07681	+	0.912661i
$574$		−	41.6368i		−	1.73789i
$575$	−2.96109	+	44.5142i	−0.123486	+	1.85637i
$576$	7.41599	−	19.7650i	0.309000	−	0.823542i
$577$	−22.4275	−	22.4275i	−0.933670	−	0.933670i	0.0642627	−	0.997933i	$-0.479530\pi$
$577$	−22.4275	−	22.4275i	−0.933670	−	0.933670i	−0.997933	+	0.0642627i	$0.979530\pi$
$578$	−39.1577	+	10.4923i	−1.62874	+	0.436421i
$579$	9.22801	−	6.39377i	0.383503	−	0.265716i
$580$	4.90724	+	50.0736i	0.203762	+	2.07919i
$581$	16.6621	−	9.61989i	0.691262	−	0.399100i
$582$	45.7719	−	54.0044i	1.89731	−	2.23856i
$583$	3.52101	−	3.52101i	0.145825	−	0.145825i
$584$	−7.30620	+	12.6547i	−0.302333	+	0.523656i
$585$	10.4403	−	6.03516i	0.431654	−	0.249523i
$586$	30.8230	−	53.3870i	1.27329	−	2.20540i
$587$	24.1582	+	6.47317i	0.997116	+	0.267176i	0.720237	−	0.693728i	$-0.244033\pi$
$587$	24.1582	+	6.47317i	0.997116	+	0.267176i	0.276879	+	0.960905i	$0.410700\pi$
$588$	−122.757	−	22.2716i	−5.06240	−	0.918466i
$589$	−15.0572	−	6.90802i	−0.620422	−	0.284640i
$590$	−15.3749	−	40.9104i	−0.632974	−	1.68426i
$591$	−18.6883	+	12.9484i	−0.768732	+	0.532628i
$592$	−6.20278	+	23.1491i	−0.254933	+	0.951422i
$593$	−6.56742	+	24.5099i	−0.269691	+	1.00650i	0.689624	+	0.724167i	$0.257776\pi$
$593$	−6.56742	+	24.5099i	−0.269691	+	1.00650i	−0.959316	+	0.282335i	$0.908891\pi$
$594$	4.02205	+	15.9532i	0.165027	+	0.654570i
$595$	−3.41632	+	7.53023i	−0.140055	+	0.308709i
$596$	0.803630	+	0.463976i	0.0329180	+	0.0190052i
$597$	−7.41512	+	2.65744i	−0.303481	+	0.108762i
$598$	−10.2333	−	38.1911i	−0.418470	−	1.56175i
$599$	1.53700	−	2.66217i	0.0628002	−	0.108773i	−0.832916	−	0.553400i	$-0.813330\pi$
$599$	1.53700	−	2.66217i	0.0628002	−	0.108773i	0.895716	+	0.444626i	$0.146664\pi$
$600$	−42.6270	+	12.1515i	−1.74024	+	0.496083i
$601$	24.3137	−	42.1125i	0.991776	−	1.71781i	0.385046	−	0.922897i	$-0.374186\pi$
$601$	24.3137	−	42.1125i	0.991776	−	1.71781i	0.606730	−	0.794908i	$-0.292481\pi$
$602$	81.2275	+	21.7648i	3.31058	+	0.887068i
$603$	−20.5103	−	1.99895i	−0.835245	−	0.0814036i
$604$	−60.6721	+	35.0290i	−2.46871	+	1.42531i
$605$	−8.63792	+	19.0397i	−0.351182	+	0.774073i
$606$	8.48316	−	17.9598i	0.344605	−	0.729569i
$607$	6.53875	−	24.4029i	0.265400	−	0.990484i	−0.696606	−	0.717454i	$-0.745307\pi$
$607$	6.53875	−	24.4029i	0.265400	−	0.990484i	0.962005	−	0.273030i	$-0.0880260\pi$
$608$	2.57472	+	2.13340i	0.104419	+	0.0865206i
$609$	−47.3265	+	3.90487i	−1.91777	+	0.158233i
$610$	−6.13445	−	16.3229i	−0.248377	−	0.660896i
$611$	−8.77968	−	5.06895i	−0.355188	−	0.205068i
$612$	−5.29577	+	7.40620i	−0.214069	+	0.299378i
$613$	7.53891	+	28.1356i	0.304494	+	1.13639i	0.933380	+	0.358889i	$0.116844\pi$
$613$	7.53891	+	28.1356i	0.304494	+	1.13639i	−0.628887	+	0.777497i	$0.716489\pi$
$614$	−53.5425			−2.16080
$615$	11.9062	−	5.63156i	0.480104	−	0.227086i
$616$	16.3270	+	28.2791i	0.657832	+	1.13940i
$617$	6.45277	+	24.0821i	0.259779	+	0.969507i	0.965369	+	0.260887i	$0.0840151\pi$
$617$	6.45277	+	24.0821i	0.259779	+	0.969507i	−0.705591	+	0.708620i	$0.749318\pi$
$618$	−61.3768	−	52.0205i	−2.46894	−	2.09257i
$619$	−25.9229	−	14.9666i	−1.04193	−	0.601558i	−0.121550	−	0.992585i	$-0.538786\pi$
$619$	−25.9229	−	14.9666i	−1.04193	−	0.601558i	−0.920379	+	0.391028i	$0.872120\pi$
$620$	28.1684	−	20.1645i	1.13127	−	0.809826i
$621$	−44.6000	−	12.6624i	−1.78974	−	0.508124i
$622$	−14.3132	+	3.83522i	−0.573909	+	0.153778i
$623$	57.3280	+	57.3280i	2.29680	+	2.29680i
$624$	11.4247	−	7.91576i	0.457353	−	0.316884i
$625$	−19.8042	−	15.2576i	−0.792168	−	0.610303i
$626$	−10.4314	+	6.02255i	−0.416921	+	0.240710i
$627$	9.66176	+	0.833096i	0.385854	+	0.0332706i
$628$	18.1387	+	67.6947i	0.723815	+	2.70131i
$629$	−1.99860	+	3.46167i	−0.0796893	+	0.138026i
$630$	−21.2999	−	79.3226i	−0.848608	−	3.16029i
$631$	−20.1261	−	34.8595i	−0.801209	−	1.38773i	−0.918821	−	0.394675i	$-0.870857\pi$
$631$	−20.1261	−	34.8595i	−0.801209	−	1.38773i	0.117612	−	0.993060i	$-0.462476\pi$
$632$	19.9528	+	5.34633i	0.793679	+	0.212666i
$633$	−17.6263	−	3.19792i	−0.700582	−	0.127106i
$634$	1.22574	−	0.707679i	0.0486802	−	0.0281055i
$635$	−24.2966	+	9.13110i	−0.964180	+	0.362357i
$636$	−22.4981	+	15.5882i	−0.892108	+	0.618111i
$637$	22.4617	+	22.4617i	0.889964	+	0.889964i
$638$	12.3584	+	12.3584i	0.489274	+	0.489274i
$639$	−5.70685	−	6.93936i	−0.225759	−	0.274517i
$640$	39.5187	−	14.8518i	1.56211	−	0.587070i
$641$	−11.9649	+	6.90794i	−0.472585	+	0.272847i	−0.717321	−	0.696743i	$-0.754632\pi$
$641$	−11.9649	+	6.90794i	−0.472585	+	0.272847i	0.244736	+	0.969590i	$0.421299\pi$
$642$	−51.8492	+	18.5818i	−2.04632	+	0.733365i
$643$	12.2721	−	12.2721i	0.483963	−	0.483963i	−0.422432	−	0.906395i	$-0.638823\pi$
$643$	12.2721	−	12.2721i	0.483963	−	0.483963i	0.906395	+	0.422432i	$0.138823\pi$
$644$	−180.653			−7.11873
$645$	4.76263	+	26.1710i	0.187529	+	1.03048i
$646$	4.62898	+	6.52444i	0.182125	+	0.256701i
$647$	−6.34529	+	6.34529i	−0.249459	+	0.249459i	−0.820749	−	0.571289i	$-0.806443\pi$
$647$	−6.34529	+	6.34529i	−0.249459	+	0.249459i	0.571289	+	0.820749i	$0.306443\pi$
$648$	−3.10658	−	45.9592i	−0.122038	−	1.80545i
$649$	−8.82012	−	5.09230i	−0.346220	−	0.199890i
$650$	20.9738	+	7.14238i	0.822658	+	0.280147i
$651$	18.6211	+	26.8755i	0.729818	+	1.05333i
$652$	5.61269	−	1.50391i	0.219810	−	0.0588979i
$653$	7.55766	−	28.2056i	0.295754	−	1.10377i	−0.644863	−	0.764298i	$-0.723085\pi$
$653$	7.55766	−	28.2056i	0.295754	−	1.10377i	0.940617	−	0.339470i	$-0.110248\pi$
$654$	16.9752	+	24.5000i	0.663782	+	0.958024i
$655$	5.45312	−	3.90364i	0.213071	−	0.152528i
$656$	13.1465	−	7.59016i	0.513286	−	0.296346i
$657$	0.830806	−	8.52452i	0.0324128	−	0.332573i
$658$	−48.8238	+	48.8238i	−1.90335	+	1.90335i
$659$	−20.3823			−0.793983			−0.396991	−	0.917822i	$-0.629946\pi$
$659$	−20.3823			−0.793983			−0.396991	+	0.917822i	$0.629946\pi$
$660$	−11.5403	+	16.6749i	−0.449206	+	0.649071i
$661$	18.2421	−	31.5962i	0.709535	−	1.22895i	−0.255495	−	0.966810i	$-0.582238\pi$
$661$	18.2421	−	31.5962i	0.709535	−	1.22895i	0.965030	−	0.262140i	$-0.0844283\pi$
$662$	−11.3010	+	11.3010i	−0.439227	+	0.439227i
$663$	2.18228	−	0.782088i	0.0847527	−	0.0303738i
$664$	17.1697	+	9.91292i	0.666313	+	0.384696i
$665$	−48.2909	−	3.41732i	−1.87264	−	0.132518i
$666$	−6.50738	−	39.1658i	−0.252156	−	1.51764i
$667$	−47.5729	+	12.7471i	−1.84203	+	0.493570i
$668$	−1.66869	+	6.22762i	−0.0645634	+	0.240954i
$669$	12.8420	+	6.06581i	0.496501	+	0.234518i
$670$	−22.0392	−	30.7872i	−0.851447	−	1.18941i
$671$	−3.51915	−	2.03178i	−0.135855	−	0.0784362i
$672$	−2.22644	−	6.21248i	−0.0858867	−	0.239652i
$673$	12.4506	+	46.4662i	0.479934	+	1.79114i	0.601862	+	0.798600i	$0.294426\pi$
$673$	12.4506	+	46.4662i	0.479934	+	1.79114i	−0.121927	+	0.992539i	$0.538907\pi$
$674$	20.0155	+	34.6678i	0.770967	+	1.33535i
$675$	19.8016	−	16.8195i	0.762166	−	0.647382i
$676$	39.8192			1.53151
$677$	2.06631	+	7.71157i	0.0794147	+	0.296380i	0.994198	−	0.107565i	$-0.0343055\pi$
$677$	2.06631	+	7.71157i	0.0794147	+	0.296380i	−0.914783	+	0.403945i	$0.867639\pi$
$678$	34.3559	−	40.5351i	1.31943	−	1.55674i
$679$			82.3555i			3.16051i
$680$	−8.48022	+	0.831065i	−0.325201	+	0.0318699i
$681$	2.88778	+	34.9995i	0.110660	+	1.34118i
$682$	3.11453	−	11.6236i	0.119261	−	0.445090i
$683$	4.18251	+	4.18251i	0.160039	+	0.160039i	0.782584	−	0.622545i	$-0.213901\pi$
$683$	4.18251	+	4.18251i	0.160039	+	0.160039i	−0.622545	+	0.782584i	$0.713901\pi$
$684$	−51.4375	−	13.9863i	−1.96676	−	0.534780i
$685$	−13.2683	−	2.19723i	−0.506956	−	0.0839520i
$686$	113.141	−	65.3221i	4.31975	−	2.49401i
$687$	−8.31343	+	2.97938i	−0.317177	+	0.113671i
$688$	7.93521	+	29.6146i	0.302527	+	1.12905i
$689$	6.96892			0.265495
$690$	−36.4223	−	77.0038i	−1.38658	−	2.93148i
$691$	−22.7751	+	39.4476i	−0.866406	+	1.50066i	−0.000761638		1.00000i	$0.500242\pi$
$691$	−22.7751	+	39.4476i	−0.866406	+	1.50066i	−0.865644	+	0.500659i	$0.833091\pi$
$692$	58.8721	−	58.8721i	2.23798	−	2.23798i
$693$	−15.5691	−	11.1326i	−0.591420	−	0.422893i
$694$	−25.6807	+	14.8267i	−0.974825	+	0.562815i
$695$	−4.03333	−	41.1562i	−0.152993	−	1.56115i
$696$	−27.8688	−	40.2225i	−1.05636	−	1.52463i
$697$	2.44562	−	0.655303i	0.0926346	−	0.0248214i
$698$	15.0538	+	15.0538i	0.569793	+	0.569793i
$699$	22.5294	−	1.85888i	0.852141	−	0.0703095i
$700$	56.3247	−	84.1187i	2.12887	−	3.17939i
$701$	−24.4916	−	14.1402i	−0.925034	−	0.534068i	−0.0397962	−	0.999208i	$-0.512671\pi$
$701$	−24.4916	−	14.1402i	−0.925034	−	0.534068i	−0.885237	+	0.465139i	$0.846004\pi$
$702$	−11.8073	+	19.7679i	−0.445639	+	0.746093i
$703$	−23.0713	−	3.92084i	−0.870151	−	0.147877i
$704$	4.51933	−	7.82771i	0.170329	−	0.295018i
$705$	−20.5649	−	7.35769i	−0.774520	−	0.277107i
$706$	−33.4506			−1.25893
$707$	5.98050	+	22.3195i	0.224920	+	0.839412i
$708$	42.7062	+	36.1960i	1.60500	+	1.36033i
$709$			33.3363i			1.25197i	0.779835	+	0.625985i	$0.215303\pi$
$709$			33.3363i			1.25197i	−0.779835	+	0.625985i	$0.784697\pi$
$710$	2.69693	−	16.2858i	0.101214	−	0.611194i
$711$	−11.9439	+	1.98448i	−0.447933	+	0.0744238i
$712$	−21.6227	+	80.6970i	−0.810345	+	3.02425i
$713$	23.9783	+	23.9783i	0.897996	+	0.897996i
$714$	−1.29830	−	15.7353i	−0.0485878	−	0.588877i
$715$	4.83320	−	1.81641i	0.180751	−	0.0679297i
$716$	47.6620	+	27.5177i	1.78121	+	1.02838i
$717$	−10.5112	−	29.3295i	−0.392546	−	1.09533i
$718$	4.69156	−	4.69156i	0.175087	−	0.175087i
$719$	−13.5016	+	23.3855i	−0.503525	+	0.872132i	0.496466	+	0.868056i	$0.334631\pi$
$719$	−13.5016	+	23.3855i	−0.503525	+	0.872132i	−0.999992	+	0.00407567i	$0.998703\pi$
$720$	21.1627	−	21.1854i	0.788688	−	0.789532i
$721$	93.5982			3.48578
$722$	−26.3862	+	38.6953i	−0.981992	+	1.44009i
$723$	−9.57645	−	1.73744i	−0.356152	−	0.0646162i
$724$			30.8275i			1.14569i
$725$	8.89693	−	26.1260i	0.330424	−	0.970296i
$726$	−3.28267	−	39.7855i	−0.121831	−	1.47658i
$727$	−2.45251	+	9.15290i	−0.0909586	+	0.339462i	−0.996376	−	0.0850608i	$-0.972892\pi$
$727$	−2.45251	+	9.15290i	−0.0909586	+	0.339462i	0.905417	+	0.424523i	$0.139558\pi$
$728$	−11.8281	+	44.1431i	−0.438379	+	1.63605i
$729$	12.8006	+	23.7728i	0.474096	+	0.880473i
$730$	12.7958	−	9.15993i	0.473594	−	0.339024i
$731$			5.11361i			0.189134i
$732$	17.0394	+	14.4419i	0.629795	+	0.533789i
$733$	−29.8422	−	7.99619i	−1.10225	−	0.295346i	−0.338567	−	0.940942i	$-0.609942\pi$
$733$	−29.8422	−	7.99619i	−1.10225	−	0.295346i	−0.763679	+	0.645596i	$0.776609\pi$
$734$	38.4926	+	66.6712i	1.42079	+	2.46088i
$735$	56.2747	+	38.9462i	2.07572	+	1.43655i
$736$	−3.42225	−	5.92751i	−0.126146	−	0.218491i
$737$	−8.52267	−	2.28364i	−0.313936	−	0.0841190i
$738$	−14.6275	+	20.4568i	−0.538447	+	0.753024i
$739$	12.5776	+	7.26167i	0.462674	+	0.267125i	0.713168	−	0.700993i	$-0.247260\pi$
$739$	12.5776	+	7.26167i	0.462674	+	0.267125i	−0.250494	+	0.968118i	$0.580593\pi$
$740$	31.0634	−	37.8134i	1.14191	−	1.39005i
$741$	8.73702	+	10.3859i	0.320963	+	0.381536i
$742$	12.2846	−	45.8467i	0.450981	−	1.68308i
$743$	−30.0057	−	30.0057i	−1.10080	−	1.10080i	−0.994314	−	0.106488i	$-0.966040\pi$
$743$	−30.0057	−	30.0057i	−1.10080	−	1.10080i	−0.106488	−	0.994314i	$-0.533960\pi$
$744$	−14.3897	+	30.4646i	−0.527551	+	1.11689i
$745$	−0.296295	−	0.413904i	−0.0108554	−	0.0151643i
$746$	40.8946	+	23.6105i	1.49726	+	0.864441i
$747$	−11.5659	−	1.12722i	−0.423175	−	0.0412429i
$748$	−2.75652	+	2.75652i	−0.100788	+	0.100788i
$749$	32.0374	−	55.4904i	1.17062	−	2.02757i
$750$	47.2117	+	7.04895i	1.72393	+	0.257391i
$751$	−11.7200	+	20.2996i	−0.427667	+	0.740741i	−0.996665	−	0.0815975i	$-0.973998\pi$
$751$	−11.7200	+	20.2996i	−0.427667	+	0.740741i	0.568998	+	0.822339i	$0.307331\pi$
$752$	−24.3161	−	6.51547i	−0.886716	−	0.237595i
$753$	5.04522	−	1.80812i	0.183858	−	0.0658914i
$754$			24.4602i			0.890789i
$755$	38.2470	−	3.74822i	1.39195	−	0.136412i
$756$	73.2804	+	75.4870i	2.66518	+	2.74544i
$757$	−2.93977	+	0.787708i	−0.106848	+	0.0286297i	−0.311847	−	0.950132i	$-0.600948\pi$
$757$	−2.93977	+	0.787708i	−0.106848	+	0.0286297i	0.204999	+	0.978762i	$0.434281\pi$
$758$	3.59837	−	13.4293i	0.130699	−	0.487775i
$759$	−17.9491	−	8.47809i	−0.651512	−	0.307735i
$760$	−21.8313	−	44.8558i	−0.791905	−	1.62709i
$761$	−6.94242	+	4.00821i	−0.251663	+	0.145297i	−0.620525	−	0.784186i	$-0.713081\pi$
$761$	−6.94242	+	4.00821i	−0.251663	+	0.145297i	0.368863	+	0.929484i	$0.379747\pi$
$762$	32.0438	−	37.8071i	1.16082	−	1.36961i
$763$	−33.4931	−	8.97445i	−1.21253	−	0.324897i
$764$	−39.7607	−	68.8675i	−1.43849	−	2.49154i
$765$	4.32395	−	2.49951i	0.156333	−	0.0903701i
$766$	−14.5108	−	25.1334i	−0.524296	−	0.908107i
$767$	−3.68912	−	13.7680i	−0.133207	−	0.497134i
$768$	−36.3587	+	42.8981i	−1.31198	+	1.54795i
$769$	−39.8965	−	23.0342i	−1.43870	−	0.830636i	−0.440944	−	0.897535i	$-0.645356\pi$
$769$	−39.8965	−	23.0342i	−1.43870	−	0.830636i	−0.997760	+	0.0668987i	$0.978690\pi$
$770$	−3.42984	−	34.9982i	−0.123603	−	1.26125i
$771$	−2.28983	−	27.7524i	−0.0824662	−	0.999479i
$772$	−25.5213	+	6.83840i	−0.918530	+	0.246119i
$773$	−1.24463	+	4.64501i	−0.0447661	+	0.167069i	−0.984690	−	0.174315i	$-0.944229\pi$
$773$	−1.24463	+	4.64501i	−0.0447661	+	0.167069i	0.939924	+	0.341384i	$0.110896\pi$
$774$	−32.2619	−	39.2296i	−1.15963	−	1.41008i
$775$	−18.6413	+	3.68913i	−0.669614	+	0.132518i
$776$	−73.4945	+	42.4321i	−2.63830	+	1.52322i
$777$	35.2347	+	29.8635i	1.26404	+	1.07135i
$778$	−24.9336	−	6.68093i	−0.893911	−	0.239523i
$779$	8.57739	+	12.0896i	0.307317	+	0.433156i
$780$	−27.9224	+	5.08135i	−0.999781	+	0.181941i
$781$	−1.92342	−	3.33146i	−0.0688254	−	0.119209i
$782$	−4.23820	−	15.8172i	−0.151558	−	0.565621i
$783$	24.6240	+	14.7078i	0.879990	+	0.525615i
$784$	68.3108	+	39.4393i	2.43967	+	1.40855i
$785$	6.28075	−	37.9272i	0.224170	−	1.35368i
$786$	−5.46897	+	11.5784i	−0.195072	+	0.412989i
$787$	8.28960	−	30.9372i	0.295492	−	1.10279i	−0.645333	−	0.763901i	$-0.723282\pi$
$787$	8.28960	−	30.9372i	0.295492	−	1.10279i	0.940826	−	0.338891i	$-0.110052\pi$
$788$	51.6848	−	13.8489i	1.84119	−	0.493346i
$789$	−7.47769	+	15.8311i	−0.266213	+	0.563603i
$790$	−17.1893	−	14.1209i	−0.611567	−	0.502398i
$791$			61.8151i			2.19789i
$792$	1.91313	−	19.6298i	0.0679803	−	0.697514i
$793$	−1.47193	−	5.49332i	−0.0522698	−	0.195073i
$794$	33.3366			1.18307
$795$	14.7715	−	2.68814i	0.523892	−	0.0953386i
$796$	18.5382			0.657068
$797$	−33.7196	−	9.03513i	−1.19441	−	0.320041i	−0.393782	−	0.919204i	$-0.628833\pi$
$797$	−33.7196	−	9.03513i	−1.19441	−	0.320041i	−0.800627	+	0.599163i	$0.795500\pi$
$798$	83.7275	−	39.1706i	2.96392	−	1.38662i
$799$	−3.63618	−	2.09935i	−0.128639	−	0.0742696i
$800$	3.82707	+	0.254577i	0.135307	+	0.00900066i
$801$	−8.02603	−	48.3061i	−0.283586	−	1.70681i
$802$	−10.0797	+	37.6181i	−0.355928	+	1.32834i
$803$	0.949129	−	3.54220i	0.0334940	−	0.125001i
$804$	43.8534	+	20.7137i	1.54659	+	0.730517i
$805$	90.2439	+	40.9419i	3.18068	+	1.44301i
$806$	14.5851	−	8.42072i	0.513739	−	0.296607i
$807$	13.2386	−	15.6197i	0.466021	−	0.549838i
$808$	−16.8367	+	16.8367i	−0.592314	+	0.592314i
$809$	20.9895			0.737952			0.368976	−	0.929439i	$-0.379708\pi$
$809$	20.9895			0.737952			0.368976	+	0.929439i	$0.379708\pi$
$810$	−17.4021	+	46.4552i	−0.611446	+	1.63227i
$811$	5.71708	+	9.90228i	0.200754	+	0.347716i	0.948772	−	0.315963i	$-0.102328\pi$
$811$	5.71708	+	9.90228i	0.200754	+	0.347716i	−0.748018	+	0.663679i	$0.768994\pi$
$812$	107.952	+	28.9257i	3.78838	+	1.01509i
$813$	−34.6217	+	40.8487i	−1.21424	+	1.43263i
$814$		−	16.9991i		−	0.595819i
$815$	−3.14461	−	0.520748i	−0.110151	−	0.0182410i
$816$	4.73163	−	3.27838i	0.165640	−	0.114766i
$817$	−28.0688	+	10.4136i	−0.982002	+	0.364327i
$818$	46.1110	+	46.1110i	1.61223	+	1.61223i
$819$	−4.39042	−	26.4245i	−0.153414	−	0.923347i
$820$	−30.8495	+	3.02327i	−1.07731	+	0.105577i
$821$		−	34.8351i		−	1.21575i	−0.794031	−	0.607877i	$-0.792021\pi$
$821$		−	34.8351i		−	1.21575i	0.794031	−	0.607877i	$-0.207979\pi$
$822$	24.1740	−	8.66351i	0.843164	−	0.302175i
$823$	1.70840	+	6.37583i	0.0595511	+	0.222248i	0.989288	−	0.145977i	$-0.0466325\pi$
$823$	1.70840	+	6.37583i	0.0595511	+	0.222248i	−0.929737	+	0.368224i	$0.879966\pi$
$824$	48.2247	+	83.5276i	1.67999	+	2.90982i
$825$	9.54395	−	5.71443i	0.332278	−	0.198951i
$826$	−97.0790			−3.37781
$827$	−14.9730	−	4.01200i	−0.520662	−	0.139511i	−0.0110893	−	0.999939i	$-0.503530\pi$
$827$	−14.9730	−	4.01200i	−0.520662	−	0.139511i	−0.509573	+	0.860427i	$0.670197\pi$
$828$	88.7574	+	63.4656i	3.08453	+	2.20558i
$829$			12.9991i			0.451479i	0.974188	+	0.225739i	$0.0724798\pi$
$829$			12.9991i			0.451479i	−0.974188	+	0.225739i	$0.927520\pi$
$830$	−12.4280	−	17.3611i	−0.431383	−	0.602613i
$831$	13.7950	−	1.13821i	0.478542	−	0.0394841i
$832$	12.2189	−	3.27404i	0.423613	−	0.113507i
$833$	9.30270	+	9.30270i	0.322319	+	0.322319i
$834$	44.9694	+	64.9035i	1.55716	+	2.24742i
$835$	2.24496	−	2.73278i	0.0776900	−	0.0945718i
$836$	−20.7441	−	9.51710i	−0.717451	−	0.329156i
$837$	0.292879	−	19.7461i	0.0101234	−	0.682525i
$838$	12.3279	+	46.0083i	0.425860	+	1.58933i
$839$	3.13326	+	5.42697i	0.108172	+	0.187360i	0.915030	−	0.403386i	$-0.132167\pi$
$839$	3.13326	+	5.42697i	0.108172	+	0.187360i	−0.806858	+	0.590746i	$0.798834\pi$
$840$	−8.04377	+	98.1295i	−0.277536	+	3.38579i
$841$	1.46894			0.0506532
$842$	−10.1130	−	37.7422i	−0.348517	−	1.30068i
$843$	−4.62693	+	25.5027i	−0.159360	+	0.878360i
$844$	36.5119	+	21.0801i	1.25679	+	0.725608i
$845$	−19.8914	−	9.02433i	−0.684284	−	0.310446i
$846$	41.1402	−	6.83542i	1.41443	−	0.235007i
$847$	32.8390	+	32.8390i	1.12836	+	1.12836i
$848$	16.7152	−	4.47882i	0.574002	−	0.153803i
$849$	−0.239066	+	0.165640i	−0.00820472	+	0.00568477i
$850$	8.68646	+	2.95808i	0.297943	+	0.101461i
$851$	41.4854	+	23.9516i	1.42210	+	0.821051i
$852$	7.13371	+	19.9053i	0.244397	+	0.681945i
$853$	10.3716	+	2.77906i	0.355117	+	0.0951532i	0.431967	−	0.901889i	$-0.357820\pi$
$853$	10.3716	+	2.77906i	0.355117	+	0.0951532i	−0.0768504	+	0.997043i	$0.524486\pi$
$854$	−38.7337			−1.32544
$855$	22.5254	+	18.6441i	0.770354	+	0.637616i
$856$	66.0266			2.25674
$857$	10.7229	+	2.87318i	0.366286	+	0.0981460i	0.437267	−	0.899332i	$-0.355946\pi$
$857$	10.7229	+	2.87318i	0.366286	+	0.0981460i	−0.0709814	+	0.997478i	$0.522613\pi$
$858$	−6.37431	+	7.52079i	−0.217615	+	0.256755i
$859$	4.44240	+	2.56482i	0.151573	+	0.0875105i	0.573868	−	0.818948i	$-0.305442\pi$
$859$	4.44240	+	2.56482i	0.151573	+	0.0875105i	−0.422295	+	0.906458i	$0.638776\pi$
$860$	10.2280	−	61.7633i	0.348773	−	2.10611i
$861$	−2.40573	−	29.1571i	−0.0819870	−	0.993671i
$862$	−81.7796	+	21.9128i	−2.78543	+	0.746353i
$863$	−17.5513	−	17.5513i	−0.597453	−	0.597453i	0.342181	−	0.939634i	$-0.388834\pi$
$863$	−17.5513	−	17.5513i	−0.597453	−	0.597453i	−0.939634	+	0.342181i	$0.888834\pi$
$864$	−1.08864	+	3.83445i	−0.0370362	+	0.130451i
$865$	−42.7514	+	16.0668i	−1.45359	+	0.546286i
$866$	−52.8412	−	30.5079i	−1.79562	−	1.03670i
$867$	−26.8148	+	9.60992i	−0.910677	+	0.326370i
$868$	−19.9160	−	74.3276i	−0.675993	−	2.52284i
$869$	−5.18402			−0.175856
$870$	9.43511	+	51.8466i	0.319880	+	1.75777i
$871$	−6.17426	−	10.6941i	−0.209207	−	0.362357i
$872$	−9.24783	−	34.5134i	−0.313171	−	1.16877i
$873$	28.9325	−	40.4624i	0.979216	−	1.36944i
$874$	78.1902	−	55.4746i	2.64482	−	1.87646i
$875$	−47.2006	+	29.2558i	−1.59567	+	0.989028i
$876$	−8.60906	+	18.2264i	−0.290873	+	0.615813i
$877$	−3.96537	−	3.96537i	−0.133901	−	0.133901i	0.636980	−	0.770881i	$-0.280184\pi$
$877$	−3.96537	−	3.96537i	−0.133901	−	0.133901i	−0.770881	+	0.636980i	$0.780184\pi$
$878$	31.4621	−	8.43024i	1.06179	−	0.284507i
$879$	18.4998	−	39.1663i	0.623983	−	1.32105i
$880$	10.4252	−	7.46293i	0.351434	−	0.251575i
$881$			32.9851i			1.11130i	0.831418	+	0.555648i	$0.187530\pi$
$881$			32.9851i			1.11130i	−0.831418	+	0.555648i	$0.812470\pi$
$882$	−130.058	−	12.6755i	−4.37927	−	0.426807i
$883$	36.5869	+	9.80344i	1.23125	+	0.329912i	0.815065	−	0.579369i	$-0.196701\pi$
$883$	36.5869	+	9.80344i	1.23125	+	0.329912i	0.416183	+	0.909281i	$0.363368\pi$
$884$	−5.45581			−0.183499
$885$	−13.1303	−	27.7600i	−0.441372	−	0.933144i
$886$	11.2348	+	19.4592i	0.377439	+	0.653743i
$887$	0.401770	+	1.49943i	0.0134901	+	0.0503458i	0.972343	−	0.233558i	$-0.0750369\pi$
$887$	0.401770	+	1.49943i	0.0134901	+	0.0503458i	−0.958853	+	0.283904i	$0.908370\pi$
$888$	−8.49635	+	46.8302i	−0.285119	+	1.57152i
$889$			57.6549i			1.93368i
$890$	57.1104	−	69.5203i	1.91435	−	2.33033i
$891$	3.73829	+	10.9392i	0.125237	+	0.366477i
$892$	−23.6353	−	23.6353i	−0.791367	−	0.791367i
$893$	4.11849	−	24.2343i	0.137820	−	0.810972i
$894$	0.878829	+	0.415107i	0.0293925	+	0.0138832i
$895$	−17.5728	−	24.5480i	−0.587393	−	0.820548i
$896$		−	93.7764i		−	3.13285i
$897$	−9.37271	−	26.1529i	−0.312946	−	0.873219i
$898$	−54.7661	−	14.6745i	−1.82757	−	0.489696i
$899$	−10.4893	−	18.1680i	−0.349837	−	0.605936i
$900$	−57.2250	+	21.5411i	−1.90750	+	0.718038i
$901$	2.88624			0.0961546
$902$	−7.61381	+	7.61381i	−0.253512	+	0.253512i
$903$	58.1388	+	10.5481i	1.93474	+	0.351017i
$904$	−55.1642	+	31.8490i	−1.83473	+	1.05928i
$905$	6.98650	−	15.3996i	0.232239	−	0.511901i
$906$	−60.3156	+	41.7906i	−2.00385	+	1.38840i
$907$	−2.82219	+	10.5326i	−0.0937093	+	0.349728i	−0.996821	−	0.0796787i	$-0.974611\pi$
$907$	−2.82219	+	10.5326i	−0.0937093	+	0.349728i	0.903111	+	0.429407i	$0.141277\pi$
$908$	21.3915	−	79.8342i	0.709902	−	2.64939i
$909$	4.90281	−	13.0669i	0.162616	−	0.433402i
$910$	31.2407	−	38.0292i	1.03562	−	1.26066i
$911$	47.7237	+	27.5533i	1.58116	+	0.912882i	0.994691	+	0.102908i	$0.0328148\pi$
$911$	47.7237	+	27.5533i	1.58116	+	0.912882i	0.586467	+	0.809973i	$0.300519\pi$
$912$	27.6309	+	19.2958i	0.914950	+	0.638948i
$913$	−4.80599	−	1.28776i	−0.159055	−	0.0426187i
$914$	−38.1825			−1.26296
$915$	−5.23890	−	11.0760i	−0.173193	−	0.366162i
$916$	20.7840			0.686723
$917$	−3.85554	−	14.3891i	−0.127321	−	0.475169i
$918$	−4.89011	+	8.18707i	−0.161398	+	0.270213i
$919$		−	1.39269i		−	0.0459407i	−0.999736	−	0.0229703i	$-0.992688\pi$
$919$		−	1.39269i		−	0.0459407i	0.999736	−	0.0229703i	$-0.00731233\pi$
$920$	9.95966	+	101.629i	0.328360	+	3.35060i
$921$	−37.4943	+	3.09362i	−1.23548	+	0.101938i
$922$	82.5358	−	22.1154i	2.71817	−	0.728332i
$923$	1.39343	−	5.20034i	0.0458652	−	0.171171i
$924$	25.6540	+	37.0260i	0.843956	+	1.21807i
$925$	−24.0872	+	11.8494i	−0.791983	+	0.389606i
$926$	16.7727	+	9.68370i	0.551184	+	0.318226i
$927$	−45.9861	−	32.8822i	−1.51038	−	1.07999i
$928$	1.09592	+	4.09004i	0.0359754	+	0.134262i
$929$	−2.26323	−	3.92002i	−0.0742540	−	0.128612i	0.826508	−	0.562926i	$-0.190324\pi$
$929$	−2.26323	−	3.92002i	−0.0742540	−	0.128612i	−0.900762	+	0.434314i	$0.856991\pi$
$930$	27.6669	−	23.4748i	0.907233	−	0.769768i
$931$	−32.1183	+	70.0074i	−1.05264	+	2.29440i
$932$	−51.3898	−	13.7699i	−1.68333	−	0.451047i
$933$	−9.80155	+	3.51270i	−0.320888	+	0.115001i
$934$	−10.9389	+	6.31560i	−0.357933	+	0.206653i
$935$	2.00171	−	0.752280i	0.0654630	−	0.0246022i
$936$	21.3193	−	17.5328i	0.696843	−	0.573076i
$937$	3.32494	−	12.4088i	0.108621	−	0.405379i	−0.890110	−	0.455746i	$-0.849372\pi$
$937$	3.32494	−	12.4088i	0.108621	−	0.405379i	0.998731	+	0.0503671i	$0.0160391\pi$
$938$	−81.2376	+	21.7676i	−2.65250	+	0.710736i
$939$	−6.95681	+	4.82013i	−0.227027	+	0.157299i
$940$	39.7196	+	32.6294i	1.29551	+	1.06425i
$941$	25.1264	+	14.5067i	0.819096	+	0.472905i	0.850105	−	0.526614i	$-0.176539\pi$
$941$	25.1264	+	14.5067i	0.819096	+	0.472905i	−0.0310085	+	0.999519i	$0.509872\pi$
$942$	24.7645	+	69.1009i	0.806870	+	2.25143i
$943$	−7.85329	−	29.3089i	−0.255738	−	0.954428i
$944$	−17.6970	−	30.6520i	−0.575987	−	0.997639i
$945$	−19.4989	−	54.3167i	−0.634298	−	1.76692i
$946$	−10.8735	−	18.8334i	−0.353527	−	0.612327i
$947$	−46.6314	−	12.4949i	−1.51532	−	0.406028i	−0.597120	−	0.802152i	$-0.703689\pi$
$947$	−46.6314	−	12.4949i	−1.51532	−	0.406028i	−0.918197	+	0.396123i	$0.870355\pi$
$948$	28.0374	+	5.08680i	0.910613	+	0.165212i
$949$	4.44471	−	2.56615i	0.144281	−	0.0833008i
$950$	1.45257	+	53.7043i	0.0471277	+	1.74240i
$951$	0.817459	−	0.566389i	0.0265079	−	0.0183664i
$952$	−4.89871	+	18.2822i	−0.158768	+	0.592531i
$953$	15.9353	−	4.26986i	0.516196	−	0.138314i	0.00868964	−	0.999962i	$-0.497234\pi$
$953$	15.9353	−	4.26986i	0.516196	−	0.138314i	0.507507	+	0.861648i	$0.330567\pi$
$954$	−22.1421	+	18.2094i	−0.716876	+	0.589551i
$955$	4.25452	+	43.4133i	0.137673	+	1.40482i
$956$			73.3252i			2.37151i
$957$	9.36828	+	7.94018i	0.302834	+	0.256669i
$958$	24.7682	+	6.63662i	0.800225	+	0.214420i
$959$	−14.9370	+	25.8716i	−0.482341	+	0.835438i
$960$	24.6366	−	11.6530i	0.795143	−	0.376098i
$961$	8.27788	−	14.3377i	0.267028	−	0.462507i
$962$	16.8227	−	16.8227i	0.542384	−	0.542384i
$963$	−35.2348	+	16.0081i	−1.13543	+	0.515853i
$964$	19.8371	+	11.4529i	0.638909	+	0.368874i
$965$	14.2987	+	2.36787i	0.460293	+	0.0762246i
$966$	−188.575	+	15.5592i	−6.06729	+	0.500607i
$967$	10.0453	+	10.0453i	0.323036	+	0.323036i	0.849931	−	0.526895i	$-0.176644\pi$
$967$	10.0453	+	10.0453i	0.323036	+	0.323036i	−0.526895	+	0.849931i	$0.676644\pi$
$968$	−12.3861	+	46.2254i	−0.398103	+	1.48574i
$969$	3.61851	+	4.30142i	0.116243	+	0.138181i
$970$	90.9567	−	8.91380i	2.92044	−	0.286205i
$971$	−9.55353	−	5.51573i	−0.306587	−	0.177008i	0.338811	−	0.940854i	$-0.389975\pi$
$971$	−9.55353	−	5.51573i	−0.306587	−	0.177008i	−0.645398	+	0.763846i	$0.723309\pi$
$972$	−9.48421	−	62.8321i	−0.304206	−	2.01534i
$973$	−88.7275	−	23.7745i	−2.84447	−	0.762174i
$974$	8.13846	+	14.0962i	0.260773	+	0.451672i
$975$	15.1000	+	3.78977i	0.483587	+	0.121370i
$976$	−7.06094	−	12.2299i	−0.226015	−	0.391470i
$977$	45.8842	+	12.2946i	1.46797	+	0.393341i	0.902234	−	0.431248i	$-0.141927\pi$
$977$	45.8842	+	12.2946i	1.46797	+	0.393341i	0.565733	+	0.824588i	$0.308593\pi$
$978$	5.72927	−	2.05327i	0.183202	−	0.0656562i
$979$		−	20.9663i		−	0.670085i
$980$	−93.7533	−	130.967i	−2.99484	−	4.18359i
$981$	13.3028	+	16.1758i	0.424726	+	0.516454i
$982$	−22.5234	+	84.0584i	−0.718750	+	2.68241i
$983$	7.51408	−	28.0429i	0.239662	−	0.894431i	−0.736330	−	0.676623i	$-0.763443\pi$
$983$	7.51408	−	28.0429i	0.239662	−	0.894431i	0.975992	−	0.217808i	$-0.0698906\pi$
$984$	24.7804	−	17.1695i	0.789972	−	0.547344i
$985$	−28.9573	−	4.79534i	−0.922657	−	0.152792i
$986$			10.1304i			0.322618i
$987$	−31.3689	+	37.0109i	−0.998483	+	1.17807i
$988$	−11.1105	−	29.9471i	−0.353472	−	0.952745i
$989$	61.2825			1.94867
$990$	−10.6102	+	18.4001i	−0.337213	+	0.584793i
$991$	9.18234	−	15.9043i	0.291687	−	0.505216i	−0.682522	−	0.730865i	$-0.739117\pi$
$991$	9.18234	−	15.9043i	0.291687	−	0.505216i	0.974209	+	0.225649i	$0.0724502\pi$
$992$	2.06152	−	2.06152i	0.0654533	−	0.0654533i
$993$	−7.26083	+	8.56675i	−0.230416	+	0.271858i
$994$	−31.7553	−	18.3340i	−1.00722	−	0.581518i
$995$	−9.26060	−	4.20135i	−0.293581	−	0.133192i
$996$	24.7293	+	11.6806i	0.783577	+	0.370115i
$997$	18.4139	+	18.4139i	0.583175	+	0.583175i	0.935774	−	0.352599i	$-0.114702\pi$
$997$	18.4139	+	18.4139i	0.583175	+	0.583175i	−0.352599	+	0.935774i	$0.614702\pi$
$998$	−21.6919	+	80.9554i	−0.686647	+	2.56260i
$999$	−6.81988	−	27.0507i	−0.215772	−	0.855846i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	855.2.ci.a.182.9	yes	464
5.3	odd	4	inner	855.2.ci.a.353.9	yes	464
9.5	odd	6		855.2.bx.a.752.9	yes	464
19.7	even	3		855.2.bx.a.767.108	yes	464
45.23	even	12		855.2.bx.a.68.108	✓	464
95.83	odd	12		855.2.bx.a.83.9	yes	464
171.140	odd	6	inner	855.2.ci.a.482.9	yes	464
855.653	even	12	inner	855.2.ci.a.653.9	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
855.2.bx.a.68.108	✓	464	45.23	even	12
855.2.bx.a.83.9	yes	464	95.83	odd	12
855.2.bx.a.752.9	yes	464	9.5	odd	6
855.2.bx.a.767.108	yes	464	19.7	even	3
855.2.ci.a.182.9	yes	464	1.1	even	1	trivial
855.2.ci.a.353.9	yes	464	5.3	odd	4	inner
855.2.ci.a.482.9	yes	464	171.140	odd	6	inner
855.2.ci.a.653.9	yes	464	855.653	even	12	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:	\( N \)	\(=\)	\( 855 = 3^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	855.ci (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.38103 - 0.637995i) q^{2} +(-1.70423 - 0.309196i) q^{3} +(3.53022 + 2.03817i) q^{4} +(-1.30158 - 1.81821i) q^{5} +(3.86056 + 1.82350i) q^{6} +(-4.79769 + 1.28554i) q^{7} +(-3.61914 - 3.61914i) q^{8} +(2.80880 + 1.05388i) q^{9} +O(q^{10})\)	\(q+(-2.38103 - 0.637995i) q^{2} +(-1.70423 - 0.309196i) q^{3} +(3.53022 + 2.03817i) q^{4} +(-1.30158 - 1.81821i) q^{5} +(3.86056 + 1.82350i) q^{6} +(-4.79769 + 1.28554i) q^{7} +(-3.61914 - 3.61914i) q^{8} +(2.80880 + 1.05388i) q^{9} +(1.93908 + 5.15962i) q^{10} +(1.11239 + 0.642240i) q^{11} +(-5.38610 - 4.56504i) q^{12} +(0.465272 + 1.73642i) q^{13} +12.2436 q^{14} +(1.65600 + 3.50110i) q^{15} +(2.23194 + 3.86583i) q^{16} +(0.192696 + 0.719153i) q^{17} +(-6.01545 - 4.30133i) q^{18} +(-3.55504 + 2.52224i) q^{19} +(-0.889013 - 9.07152i) q^{20} +(8.57384 - 0.707421i) q^{21} +(-2.23889 - 2.23889i) q^{22} +(8.61848 - 2.30931i) q^{23} +(5.04881 + 7.28686i) q^{24} +(-1.61180 + 4.73309i) q^{25} -4.43131i q^{26} +(-4.46097 - 2.66453i) q^{27} +(-19.5570 - 5.24029i) q^{28} -5.51987 q^{29} +(-1.70930 - 9.39273i) q^{30} +(1.90028 + 3.29138i) q^{31} +(-0.198541 - 0.740967i) q^{32} +(-1.69719 - 1.43847i) q^{33} -1.83526i q^{34} +(8.58193 + 7.05000i) q^{35} +(7.76766 + 9.44524i) q^{36} +(3.79632 + 3.79632i) q^{37} +(10.0738 - 3.73743i) q^{38} +(-0.256036 - 3.10312i) q^{39} +(-1.86978 + 11.2909i) q^{40} -3.40070i q^{41} +(-20.8659 - 3.78568i) q^{42} +(6.63428 + 1.77765i) q^{43} +(2.61799 + 4.53449i) q^{44} +(-1.73968 - 6.47870i) q^{45} -21.9942 q^{46} +(-3.98770 + 3.98770i) q^{47} +(-2.60844 - 7.27837i) q^{48} +(15.3030 - 8.83520i) q^{49} +(6.85743 - 10.2413i) q^{50} +(-0.106039 - 1.28518i) q^{51} +(-1.89661 + 7.07824i) q^{52} +(1.00335 - 3.74454i) q^{53} +(8.92176 + 9.19040i) q^{54} +(-0.280134 - 2.85849i) q^{55} +(22.0160 + 12.7110i) q^{56} +(6.83847 - 3.19927i) q^{57} +(13.1430 + 3.52165i) q^{58} -7.92896 q^{59} +(-1.28980 + 15.7348i) q^{60} -3.16359 q^{61} +(-2.42474 - 9.04924i) q^{62} +(-14.8305 - 1.44539i) q^{63} -7.03683i q^{64} +(2.55159 - 3.10604i) q^{65} +(3.12333 + 4.50785i) q^{66} +(-6.63511 + 1.77787i) q^{67} +(-0.785497 + 2.93151i) q^{68} +(-15.4019 + 1.27080i) q^{69} +(-15.9360 - 22.2615i) q^{70} +(-2.59363 - 1.49743i) q^{71} +(-6.35127 - 13.9796i) q^{72} +(-0.738921 - 2.75769i) q^{73} +(-6.61712 - 11.4612i) q^{74} +(4.21033 - 7.56790i) q^{75} +(-17.6908 + 1.65827i) q^{76} +(-6.16253 - 1.65125i) q^{77} +(-1.37014 + 7.55196i) q^{78} +(-3.49518 + 2.01795i) q^{79} +(4.12387 - 9.08982i) q^{80} +(6.77866 + 5.92028i) q^{81} +(-2.16963 + 8.09717i) q^{82} +(-3.74158 + 1.00255i) q^{83} +(31.7094 + 14.9776i) q^{84} +(1.05676 - 1.28640i) q^{85} +(-14.6623 - 8.46527i) q^{86} +(9.40712 + 1.70672i) q^{87} +(-1.70155 - 6.35026i) q^{88} +(-8.16138 - 14.1359i) q^{89} +(0.00884103 + 16.5359i) q^{90} +(-4.46446 - 7.73267i) q^{91} +(35.1319 + 9.41356i) q^{92} +(-2.22083 - 6.19683i) q^{93} +(12.0390 - 6.95070i) q^{94} +(9.21312 + 3.18093i) q^{95} +(0.109256 + 1.32417i) q^{96} +(4.29141 - 16.0158i) q^{97} +(-42.0738 + 11.2736i) q^{98} +(2.44764 + 2.97625i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Introduction

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