LMFDB - Embedded newform 731.2.k.a.35.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (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:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			35.3
Character	$\chi$	$=$	731.35
Dual form			731.2.k.a.188.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.570082 + 2.49769i) q^{2} +(-0.272791 - 1.19518i) q^{3} +(-4.11153 - 1.98001i) q^{4} +(-0.726540 + 0.911052i) q^{5} +3.14070 q^{6} -3.39707 q^{7} +(4.09469 - 5.13458i) q^{8} +(1.34887 - 0.649583i) q^{9} +O(q^{10})$	\(q+(-0.570082 + 2.49769i) q^{2} +(-0.272791 - 1.19518i) q^{3} +(-4.11153 - 1.98001i) q^{4} +(-0.726540 + 0.911052i) q^{5} +3.14070 q^{6} -3.39707 q^{7} +(4.09469 - 5.13458i) q^{8} +(1.34887 - 0.649583i) q^{9} +(-1.86134 - 2.33405i) q^{10} +(2.91060 - 1.40167i) q^{11} +(-1.24487 + 5.45413i) q^{12} +(-0.455484 + 0.571159i) q^{13} +(1.93661 - 8.48483i) q^{14} +(1.28706 + 0.619817i) q^{15} +(4.79974 + 6.01869i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.853490 + 3.73938i) q^{18} +(-0.704367 - 0.339205i) q^{19} +(4.79108 - 2.30726i) q^{20} +(0.926692 + 4.06010i) q^{21} +(1.84166 + 8.06884i) q^{22} +(6.25489 - 3.01219i) q^{23} +(-7.25372 - 3.49321i) q^{24} +(0.810449 + 3.55081i) q^{25} +(-1.16691 - 1.46327i) q^{26} +(-3.43736 - 4.31031i) q^{27} +(13.9672 + 6.72623i) q^{28} +(-0.0265690 + 0.116407i) q^{29} +(-2.28184 + 2.86134i) q^{30} +(-1.65361 + 7.24495i) q^{31} +(-5.93508 + 2.85818i) q^{32} +(-2.46923 - 3.09632i) q^{33} +(-2.30821 + 1.11158i) q^{34} +(2.46811 - 3.09491i) q^{35} -6.83211 q^{36} +11.1243 q^{37} +(1.24878 - 1.56592i) q^{38} +(0.806888 + 0.388577i) q^{39} +(1.70291 + 7.46095i) q^{40} +(-2.65909 + 11.6502i) q^{41} -10.6692 q^{42} +(-1.06129 - 6.47099i) q^{43} -14.7423 q^{44} +(-0.388206 + 1.70084i) q^{45} +(3.95773 + 17.3400i) q^{46} +(3.28090 + 1.58000i) q^{47} +(5.88407 - 7.37839i) q^{48} +4.54009 q^{49} -9.33084 q^{50} +(0.764344 - 0.958458i) q^{51} +(3.00363 - 1.44647i) q^{52} +(2.40192 + 3.01192i) q^{53} +(12.7254 - 6.12823i) q^{54} +(-0.837671 + 3.67008i) q^{55} +(-13.9099 + 17.4425i) q^{56} +(-0.213265 + 0.934375i) q^{57} +(-0.275601 - 0.132722i) q^{58} +(4.80790 + 6.02892i) q^{59} +(-4.06455 - 5.09679i) q^{60} +(0.359434 + 1.57478i) q^{61} +(-17.1530 - 8.26043i) q^{62} +(-4.58222 + 2.20668i) q^{63} +(-0.329362 - 1.44303i) q^{64} +(-0.189428 - 0.829939i) q^{65} +(9.14130 - 4.40222i) q^{66} +(1.87052 + 0.900796i) q^{67} +(-1.01546 - 4.44904i) q^{68} +(-5.30638 - 6.65400i) q^{69} +(6.32310 + 7.92892i) q^{70} +(7.31917 + 3.52472i) q^{71} +(2.18788 - 9.58573i) q^{72} +(7.51963 - 9.42932i) q^{73} +(-6.34175 + 27.7850i) q^{74} +(4.02276 - 1.93726i) q^{75} +(2.22440 + 2.78930i) q^{76} +(-9.88750 + 4.76157i) q^{77} +(-1.43054 + 1.79384i) q^{78} +10.0931 q^{79} -8.97055 q^{80} +(-1.41356 + 1.77255i) q^{81} +(-27.5828 - 13.2832i) q^{82} +(-2.79494 - 12.2454i) q^{83} +(4.22891 - 18.5281i) q^{84} -1.16528 q^{85} +(16.7675 + 1.03823i) q^{86} +0.146374 q^{87} +(4.72101 - 20.6841i) q^{88} +(-2.68230 - 11.7519i) q^{89} +(-4.02687 - 1.93924i) q^{90} +(1.54731 - 1.94027i) q^{91} -31.6813 q^{92} +9.11010 q^{93} +(-5.81673 + 7.29395i) q^{94} +(0.820784 - 0.395269i) q^{95} +(5.03508 + 6.31378i) q^{96} +(6.70893 - 3.23085i) q^{97} +(-2.58822 + 11.3397i) q^{98} +(3.01553 - 3.78135i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) $ 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.570082	+	2.49769i	−0.403109	+	1.76613i	0.211576	+	0.977361i	$0.432140\pi$
$2$	−0.570082	+	2.49769i	−0.403109	+	1.76613i	−0.614685	+	0.788773i	$0.710717\pi$
$3$	−0.272791	−	1.19518i	−0.157496	−	0.690036i	−0.990585	−	0.136897i	$-0.956287\pi$
$3$	−0.272791	−	1.19518i	−0.157496	−	0.690036i	0.833089	−	0.553139i	$-0.186570\pi$
$4$	−4.11153	−	1.98001i	−2.05576	−	0.990004i
$5$	−0.726540	+	0.911052i	−0.324919	+	0.407435i	−0.917284	−	0.398235i	$-0.869623\pi$
$5$	−0.726540	+	0.911052i	−0.324919	+	0.407435i	0.592365	+	0.805670i	$0.298194\pi$
$6$	3.14070			1.28218
$7$	−3.39707			−1.28397			−0.641986	−	0.766716i	$-0.721889\pi$
$7$	−3.39707			−1.28397			−0.641986	+	0.766716i	$0.721889\pi$
$8$	4.09469	−	5.13458i	1.44769	−	1.81535i
$9$	1.34887	−	0.649583i	0.449624	−	0.216528i
$10$	−1.86134	−	2.33405i	−0.588607	−	0.738090i
$11$	2.91060	−	1.40167i	0.877578	−	0.422619i	0.0598387	−	0.998208i	$-0.480941\pi$
$11$	2.91060	−	1.40167i	0.877578	−	0.422619i	0.817739	+	0.575589i	$0.195227\pi$
$12$	−1.24487	+	5.45413i	−0.359363	+	1.57447i
$13$	−0.455484	+	0.571159i	−0.126329	+	0.158411i	−0.840973	−	0.541077i	$-0.818017\pi$
$13$	−0.455484	+	0.571159i	−0.126329	+	0.158411i	0.714645	+	0.699488i	$0.246588\pi$
$14$	1.93661	−	8.48483i	0.517580	−	2.26767i
$15$	1.28706	+	0.619817i	0.332318	+	0.160036i
$16$	4.79974	+	6.01869i	1.19994	+	1.50467i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$18$	0.853490	+	3.73938i	0.201170	+	0.881381i
$19$	−0.704367	−	0.339205i	−0.161593	−	0.0778190i	0.351339	−	0.936248i	$-0.385726\pi$
$19$	−0.704367	−	0.339205i	−0.161593	−	0.0778190i	−0.512932	+	0.858429i	$0.671441\pi$
$20$	4.79108	−	2.30726i	1.07132	−	0.515920i
$21$	0.926692	+	4.06010i	0.202221	+	0.885987i
$22$	1.84166	+	8.06884i	0.392643	+	1.72028i
$23$	6.25489	−	3.01219i	1.30423	−	0.628086i	0.352731	−	0.935725i	$-0.385253\pi$
$23$	6.25489	−	3.01219i	1.30423	−	0.628086i	0.951503	+	0.307639i	$0.0995389\pi$
$24$	−7.25372	−	3.49321i	−1.48066	−	0.713048i
$25$	0.810449	+	3.55081i	0.162090	+	0.710162i
$26$	−1.16691	−	1.46327i	−0.228851	−	0.286970i
$27$	−3.43736	−	4.31031i	−0.661521	−	0.829520i
$28$	13.9672	+	6.72623i	2.63954	+	1.27114i
$29$	−0.0265690	+	0.116407i	−0.00493375	+	0.0216162i	−0.977335	−	0.211699i	$-0.932100\pi$
$29$	−0.0265690	+	0.116407i	−0.00493375	+	0.0216162i	0.972401	+	0.233315i	$0.0749574\pi$
$30$	−2.28184	+	2.86134i	−0.416605	+	0.522407i
$31$	−1.65361	+	7.24495i	−0.296998	+	1.30123i	0.577575	+	0.816338i	$0.303999\pi$
$31$	−1.65361	+	7.24495i	−0.296998	+	1.30123i	−0.874573	+	0.484895i	$0.838858\pi$
$32$	−5.93508	+	2.85818i	−1.04918	+	0.505260i
$33$	−2.46923	−	3.09632i	−0.429838	−	0.538999i
$34$	−2.30821	+	1.11158i	−0.395855	+	0.190634i
$35$	2.46811	−	3.09491i	0.417186	−	0.523135i
$36$	−6.83211			−1.13869
$37$	11.1243			1.82882			0.914411	−	0.404787i	$-0.132654\pi$
$37$	11.1243			1.82882			0.914411	+	0.404787i	$0.132654\pi$
$38$	1.24878	−	1.56592i	0.202578	−	0.254025i
$39$	0.806888	+	0.388577i	0.129205	+	0.0622221i
$40$	1.70291	+	7.46095i	0.269254	+	1.17968i
$41$	−2.65909	+	11.6502i	−0.415280	+	1.81946i	0.142894	+	0.989738i	$0.454359\pi$
$41$	−2.65909	+	11.6502i	−0.415280	+	1.81946i	−0.558175	+	0.829724i	$0.688498\pi$
$42$	−10.6692			−1.64629
$43$	−1.06129	−	6.47099i	−0.161844	−	0.986816i
$43$	−1.06129	−	6.47099i	−0.161844	−	0.986816i
$44$	−14.7423			−2.22249
$45$	−0.388206	+	1.70084i	−0.0578704	+	0.253547i
$46$	3.95773	+	17.3400i	0.583536	+	2.55664i
$47$	3.28090	+	1.58000i	0.478569	+	0.230467i	0.657586	−	0.753379i	$-0.271578\pi$
$47$	3.28090	+	1.58000i	0.478569	+	0.230467i	−0.179017	+	0.983846i	$0.557292\pi$
$48$	5.88407	−	7.37839i	0.849292	−	1.06498i
$49$	4.54009			0.648584
$50$	−9.33084			−1.31958
$51$	0.764344	−	0.958458i	0.107030	−	0.134211i
$52$	3.00363	−	1.44647i	0.416529	−	0.200590i
$53$	2.40192	+	3.01192i	0.329930	+	0.413719i	0.918934	−	0.394411i	$-0.129051\pi$
$53$	2.40192	+	3.01192i	0.329930	+	0.413719i	−0.589005	+	0.808130i	$0.700480\pi$
$54$	12.7254	−	6.12823i	1.73171	−	0.833947i
$55$	−0.837671	+	3.67008i	−0.112951	+	0.494873i
$56$	−13.9099	+	17.4425i	−1.85879	+	2.33085i
$57$	−0.213265	+	0.934375i	−0.0282477	+	0.123761i
$58$	−0.275601	−	0.132722i	−0.0361882	−	0.0174273i
$59$	4.80790	+	6.02892i	0.625936	+	0.784899i	0.989166	−	0.146801i	$-0.0468976\pi$
$59$	4.80790	+	6.02892i	0.625936	+	0.784899i	−0.363230	+	0.931699i	$0.618326\pi$
$60$	−4.06455	−	5.09679i	−0.524732	−	0.657993i
$61$	0.359434	+	1.57478i	0.0460209	+	0.201631i	0.992712	−	0.120513i	$-0.0384539\pi$
$61$	0.359434	+	1.57478i	0.0460209	+	0.201631i	−0.946691	+	0.322143i	$0.895597\pi$
$62$	−17.1530	−	8.26043i	−2.17843	−	1.04908i
$63$	−4.58222	+	2.20668i	−0.577305	+	0.278016i
$64$	−0.329362	−	1.44303i	−0.0411703	−	0.180379i
$65$	−0.189428	−	0.829939i	−0.0234957	−	0.102941i
$66$	9.14130	−	4.40222i	1.12522	−	0.541876i
$67$	1.87052	+	0.900796i	0.228521	+	0.110050i	0.544641	−	0.838669i	$-0.316666\pi$
$67$	1.87052	+	0.900796i	0.228521	+	0.110050i	−0.316120	+	0.948719i	$0.602380\pi$
$68$	−1.01546	−	4.44904i	−0.123143	−	0.539525i
$69$	−5.30638	−	6.65400i	−0.638814	−	0.801047i
$70$	6.32310	+	7.92892i	0.755755	+	0.947687i
$71$	7.31917	+	3.52472i	0.868625	+	0.418308i	0.814457	−	0.580224i	$-0.197035\pi$
$71$	7.31917	+	3.52472i	0.868625	+	0.418308i	0.0541683	+	0.998532i	$0.482749\pi$
$72$	2.18788	−	9.58573i	0.257844	−	1.12969i
$73$	7.51963	−	9.42932i	0.880107	−	1.10362i	−0.113812	−	0.993502i	$-0.536306\pi$
$73$	7.51963	−	9.42932i	0.880107	−	1.10362i	0.993919	−	0.110116i	$-0.0351224\pi$
$74$	−6.34175	+	27.7850i	−0.737214	+	3.22995i
$75$	4.02276	−	1.93726i	0.464508	−	0.223695i
$76$	2.22440	+	2.78930i	0.255156	+	0.319955i
$77$	−9.88750	+	4.76157i	−1.12679	+	0.542631i
$78$	−1.43054	+	1.79384i	−0.161976	+	0.203112i
$79$	10.0931			1.13556			0.567782	−	0.823179i	$-0.307801\pi$
$79$	10.0931			1.13556			0.567782	+	0.823179i	$0.307801\pi$
$80$	−8.97055			−1.00294
$81$	−1.41356	+	1.77255i	−0.157062	+	0.196950i
$82$	−27.5828	−	13.2832i	−3.04601	−	1.46688i
$83$	−2.79494	−	12.2454i	−0.306784	−	1.34411i	−0.859669	−	0.510852i	$-0.829330\pi$
$83$	−2.79494	−	12.2454i	−0.306784	−	1.34411i	0.552884	−	0.833258i	$-0.313527\pi$
$84$	4.22891	−	18.5281i	0.461412	−	2.02158i
$85$	−1.16528			−0.126392
$86$	16.7675	+	1.03823i	1.80809	+	0.111955i
$87$	0.146374			0.0156930
$88$	4.72101	−	20.6841i	0.503261	−	2.20493i
$89$	−2.68230	−	11.7519i	−0.284323	−	1.24570i	−0.892190	−	0.451661i	$-0.850832\pi$
$89$	−2.68230	−	11.7519i	−0.284323	−	1.24570i	0.607867	−	0.794039i	$-0.292025\pi$
$90$	−4.02687	−	1.93924i	−0.424469	−	0.204414i
$91$	1.54731	−	1.94027i	0.162202	−	0.203395i
$92$	−31.6813			−3.30300
$93$	9.11010			0.944673
$94$	−5.81673	+	7.29395i	−0.599950	+	0.752314i
$95$	0.820784	−	0.395269i	0.0842107	−	0.0405537i
$96$	5.03508	+	6.31378i	0.513890	+	0.644398i
$97$	6.70893	−	3.23085i	0.681189	−	0.328043i	−0.0610921	−	0.998132i	$-0.519458\pi$
$97$	6.70893	−	3.23085i	0.681189	−	0.328043i	0.742281	+	0.670089i	$0.233744\pi$
$98$	−2.58822	+	11.3397i	−0.261450	+	1.14549i
$99$	3.01553	−	3.78135i	0.303072	−	0.380040i
$100$	3.69844	−	16.2039i	0.369844	−	1.62039i
$101$	−1.03281	−	0.497375i	−0.102768	−	0.0494907i	0.381793	−	0.924248i	$-0.375307\pi$
$101$	−1.03281	−	0.497375i	−0.102768	−	0.0494907i	−0.484562	+	0.874757i	$0.661021\pi$
$102$	1.95819	+	2.45550i	0.193890	+	0.243130i
$103$	−0.0355961	−	0.0446361i	−0.00350739	−	0.00439812i	0.780075	−	0.625686i	$-0.215181\pi$
$103$	−0.0355961	−	0.0446361i	−0.00350739	−	0.00439812i	−0.783582	+	0.621288i	$0.786610\pi$
$104$	1.06759	+	4.67743i	0.104686	+	0.458660i
$105$	−4.37224	−	2.10556i	−0.426687	−	0.205482i
$106$	−8.89213	+	4.28222i	−0.863680	+	0.415926i
$107$	−3.18977	−	13.9753i	−0.308367	−	1.35104i	−0.857145	−	0.515075i	$-0.827764\pi$
$107$	−3.18977	−	13.9753i	−0.308367	−	1.35104i	0.548778	−	0.835968i	$-0.315093\pi$
$108$	5.59835	+	24.5280i	0.538702	+	2.36021i
$109$	8.32017	−	4.00678i	0.796928	−	0.383780i	0.00931971	−	0.999957i	$-0.497033\pi$
$109$	8.32017	−	4.00678i	0.796928	−	0.383780i	0.787608	+	0.616176i	$0.211319\pi$
$110$	−8.68917	−	4.18448i	−0.828480	−	0.398975i
$111$	−3.03461	−	13.2955i	−0.288032	−	1.26195i
$112$	−16.3051	−	20.4459i	−1.54068	−	1.93196i
$113$	3.86289	+	4.84391i	0.363390	+	0.455677i	0.929592	−	0.368590i	$-0.120159\pi$
$113$	3.86289	+	4.84391i	0.363390	+	0.455677i	−0.566202	+	0.824267i	$0.691588\pi$
$114$	−2.21220	−	1.06534i	−0.207192	−	0.0997783i
$115$	−1.80016	+	7.88701i	−0.167866	+	0.735467i
$116$	0.339725	−	0.426002i	0.0315427	−	0.0395533i
$117$	−0.243375	+	1.06630i	−0.0225000	+	0.0985791i
$118$	−17.7993	+	8.57168i	−1.63856	+	0.789087i
$119$	−2.11804	−	2.65594i	−0.194160	−	0.243469i
$120$	8.45262	−	4.07057i	0.771615	−	0.371590i
$121$	−0.351492	+	0.440757i	−0.0319538	+	0.0400688i
$122$	−4.13823			−0.374658
$123$	14.6495			1.32090
$124$	21.1439	−	26.5137i	1.89878	−	2.38100i
$125$	−9.07320	−	4.36942i	−0.811532	−	0.390813i
$126$	−2.89937	−	12.7030i	−0.258296	−	1.13167i
$127$	1.51480	−	6.63676i	0.134417	−	0.588917i	−0.862189	−	0.506587i	$-0.830907\pi$
$127$	1.51480	−	6.63676i	0.134417	−	0.588917i	0.996605	−	0.0823298i	$-0.0262361\pi$
$128$	−9.38288			−0.829337
$129$	−7.44447	+	3.03365i	−0.655449	+	0.267098i
$130$	2.18092			0.191279
$131$	−0.799531	+	3.50297i	−0.0698553	+	0.306056i	−0.997771	−	0.0667346i	$-0.978742\pi$
$131$	−0.799531	+	3.50297i	−0.0698553	+	0.306056i	0.927915	+	0.372791i	$0.121599\pi$
$132$	4.02158	+	17.6197i	0.350033	+	1.53360i
$133$	2.39278	+	1.15230i	0.207481	+	0.0999174i
$134$	−3.31626	+	4.15846i	−0.286481	+	0.359236i
$135$	6.42430			0.552916
$136$	6.56737			0.563147
$137$	−0.768794	+	0.964037i	−0.0656825	+	0.0823633i	−0.813587	−	0.581443i	$-0.802488\pi$
$137$	−0.768794	+	0.964037i	−0.0656825	+	0.0823633i	0.747905	+	0.663806i	$0.231060\pi$
$138$	19.6447	−	9.46039i	1.67227	−	0.805322i
$139$	2.50478	+	3.14090i	0.212453	+	0.266407i	0.876627	−	0.481170i	$-0.159788\pi$
$139$	2.50478	+	3.14090i	0.212453	+	0.266407i	−0.664174	+	0.747578i	$0.731217\pi$
$140$	−16.2756	+	7.83793i	−1.37554	+	0.662426i
$141$	0.993378	−	4.35227i	0.0836575	−	0.366527i
$142$	−12.9762	+	16.2716i	−1.08894	+	1.36549i
$143$	−0.525154	+	2.30085i	−0.0439156	+	0.192407i
$144$	10.3839	+	5.00062i	0.865324	+	0.416718i
$145$	−0.0867490	−	0.108780i	−0.00720411	−	0.00903367i
$146$	19.2647	+	24.1572i	1.59436	+	1.99926i
$147$	−1.23850	−	5.42621i	−0.102149	−	0.447546i
$148$	−45.7378	−	22.0262i	−3.75963	−	1.81054i
$149$	−16.8020	+	8.09141i	−1.37647	+	0.662874i	−0.968244	−	0.250006i	$-0.919567\pi$
$149$	−16.8020	+	8.09141i	−1.37647	+	0.662874i	−0.408228	+	0.912880i	$0.633853\pi$
$150$	2.54537	+	11.1520i	0.207829	+	0.910558i
$151$	1.80212	+	7.89560i	0.146654	+	0.642535i	0.993801	+	0.111175i	$0.0354615\pi$
$151$	1.80212	+	7.89560i	0.146654	+	0.642535i	−0.847146	+	0.531359i	$0.821681\pi$
$152$	−4.62584	+	2.22769i	−0.375205	+	0.180689i
$153$	1.34887	+	0.649583i	0.109050	+	0.0525157i
$154$	−6.25625	−	27.4104i	−0.504143	−	2.20879i
$155$	−5.39912	−	6.77028i	−0.433667	−	0.543802i
$156$	−2.54816	−	3.19529i	−0.204016	−	0.255828i
$157$	−4.27084	−	2.05673i	−0.340850	−	0.164145i	0.255626	−	0.966776i	$-0.417718\pi$
$157$	−4.27084	−	2.05673i	−0.340850	−	0.164145i	−0.596476	+	0.802631i	$0.703433\pi$
$158$	−5.75390	+	25.2095i	−0.457756	+	2.00556i
$159$	2.94455	−	3.69235i	0.233518	−	0.292822i
$160$	1.70812	−	7.48375i	0.135039	−	0.591643i
$161$	−21.2483	+	10.2326i	−1.67460	+	0.806445i
$162$	−3.62143	−	4.54113i	−0.284526	−	0.356785i
$163$	8.15613	−	3.92779i	0.638838	−	0.307648i	−0.0862821	−	0.996271i	$-0.527499\pi$
$163$	8.15613	−	3.92779i	0.638838	−	0.307648i	0.725120	+	0.688623i	$0.241784\pi$
$164$	34.0005	−	42.6353i	2.65499	−	3.32925i
$165$	4.61490			0.359269
$166$	32.1786			2.49755
$167$	13.5650	−	17.0100i	1.04969	−	1.31627i	0.102805	−	0.994702i	$-0.467218\pi$
$167$	13.5650	−	17.0100i	1.04969	−	1.31627i	0.946886	−	0.321569i	$-0.104210\pi$
$168$	24.6414	+	11.8667i	1.90113	+	0.915534i
$169$	2.77402	+	12.1538i	0.213386	+	0.934904i
$170$	0.664305	−	2.91051i	0.0509498	−	0.223226i
$171$	−1.17044			−0.0895061
$172$	−8.44910	+	28.7070i	−0.644238	+	2.18889i
$173$	20.3004			1.54341			0.771706	−	0.635980i	$-0.219404\pi$
$173$	20.3004			1.54341			0.771706	+	0.635980i	$0.219404\pi$
$174$	−0.0834453	+	0.365598i	−0.00632597	+	0.0277159i
$175$	−2.75315	−	12.0623i	−0.208119	−	0.911827i
$176$	22.4063	+	10.7903i	1.68894	+	0.813351i
$177$	5.89407	−	7.39094i	0.443026	−	0.555537i
$178$	30.8818			2.31469
$179$	−0.635258			−0.0474814			−0.0237407	−	0.999718i	$-0.507558\pi$
$179$	−0.635258			−0.0474814			−0.0237407	+	0.999718i	$0.507558\pi$
$180$	4.96380	−	6.22441i	0.369980	−	0.463940i
$181$	5.56915	−	2.68196i	0.413951	−	0.199348i	−0.215304	−	0.976547i	$-0.569074\pi$
$181$	5.56915	−	2.68196i	0.413951	−	0.199348i	0.629255	+	0.777199i	$0.283360\pi$
$182$	3.96409	+	4.97081i	0.293838	+	0.368461i
$183$	1.78410	−	0.859175i	0.131884	−	0.0635121i
$184$	10.1455	−	44.4502i	0.747933	−	3.27691i
$185$	−8.08224	+	10.1348i	−0.594218	+	0.745126i
$186$	−5.19350	+	22.7542i	−0.380806	+	1.66842i
$187$	2.91060	+	1.40167i	0.212844	+	0.102500i
$188$	−10.3611	−	12.9924i	−0.755662	−	0.947570i
$189$	11.6770	+	14.6424i	0.849374	+	1.06508i
$190$	0.519346	+	2.27540i	0.0376773	+	0.165075i
$191$	10.9379	+	5.26742i	0.791440	+	0.381137i	0.785513	−	0.618845i	$-0.212399\pi$
$191$	10.9379	+	5.26742i	0.791440	+	0.381137i	0.00592685	+	0.999982i	$0.498113\pi$
$192$	−1.63483	+	0.787292i	−0.117984	+	0.0568179i
$193$	3.77901	+	16.5569i	0.272019	+	1.19179i	0.907626	+	0.419780i	$0.137893\pi$
$193$	3.77901	+	16.5569i	0.272019	+	1.19179i	−0.635607	+	0.772013i	$0.719250\pi$
$194$	4.24503	+	18.5987i	0.304775	+	1.33531i
$195$	−0.940250	+	0.452801i	−0.0673327	+	0.0324257i
$196$	−18.6667	−	8.98941i	−1.33334	−	0.642101i
$197$	5.15946	+	22.6051i	0.367596	+	1.61055i	0.733362	+	0.679838i	$0.237950\pi$
$197$	5.15946	+	22.6051i	0.367596	+	1.61055i	−0.365766	+	0.930707i	$0.619193\pi$
$198$	7.72555	+	9.68753i	0.549031	+	0.688463i
$199$	0.574455	+	0.720343i	0.0407220	+	0.0510638i	0.801775	−	0.597625i	$-0.203889\pi$
$199$	0.574455	+	0.720343i	0.0407220	+	0.0510638i	−0.761053	+	0.648689i	$0.775318\pi$
$200$	21.5504	+	10.3781i	1.52385	+	0.733845i
$201$	0.566348	−	2.48133i	0.0399471	−	0.175020i
$202$	1.83108	−	2.29610i	0.128834	−	0.161553i
$203$	0.0902569	−	0.395441i	0.00633479	−	0.0277545i
$204$	−5.04038	+	2.42732i	−0.352897	+	0.169946i
$205$	−8.68204	−	10.8869i	−0.606380	−	0.760377i
$206$	0.131780	−	0.0634618i	0.00918153	−	0.00442159i
$207$	6.48038	−	8.12614i	0.450417	−	0.564806i
$208$	−5.62383			−0.389943
$209$	−2.52558			−0.174698
$210$	7.75158	−	9.72017i	0.534910	−	0.670755i
$211$	0.151146	+	0.0727882i	0.0104053	+	0.00501095i	0.439079	−	0.898448i	$-0.355305\pi$
$211$	0.151146	+	0.0727882i	0.0104053	+	0.00501095i	−0.428674	+	0.903459i	$0.641019\pi$
$212$	−3.91196	−	17.1394i	−0.268674	−	1.17714i
$213$	2.21607	−	9.70922i	0.151842	−	0.665264i
$214$	36.7244			2.51043
$215$	6.66647	+	3.73454i	0.454650	+	0.254694i
$216$	−36.2066			−2.46354
$217$	5.61744	−	24.6116i	0.381337	−	1.67075i
$218$	5.26453	+	23.0654i	0.356559	+	1.56219i
$219$	−13.3210	−	6.41506i	−0.900150	−	0.433489i
$220$	10.7109	−	13.4310i	0.722128	−	0.905519i
$221$	−0.730539			−0.0491414
$222$	34.9380			2.34489
$223$	−4.87391	+	6.11170i	−0.326381	+	0.409269i	−0.917767	−	0.397120i	$-0.870010\pi$
$223$	−4.87391	+	6.11170i	−0.326381	+	0.409269i	0.591385	+	0.806389i	$0.298581\pi$
$224$	20.1619	−	9.70945i	1.34712	−	0.648740i
$225$	3.39974	+	4.26314i	0.226649	+	0.284209i
$226$	−14.3008	+	6.88688i	−0.951272	+	0.458109i
$227$	−2.05873	+	9.01989i	−0.136643	+	0.598671i	0.859516	+	0.511108i	$0.170765\pi$
$227$	−2.05873	+	9.01989i	−0.136643	+	0.598671i	−0.996159	+	0.0875627i	$0.972092\pi$
$228$	2.72692	−	3.41944i	0.180594	−	0.226458i
$229$	−5.77591	+	25.3059i	−0.381683	+	1.67226i	0.310526	+	0.950565i	$0.399495\pi$
$229$	−5.77591	+	25.3059i	−0.381683	+	1.67226i	−0.692209	+	0.721697i	$0.743362\pi$
$230$	−18.6731	−	8.99248i	−1.23127	−	0.592946i
$231$	8.38814	+	10.5184i	0.551899	+	0.692060i
$232$	0.488906	+	0.613069i	0.0320983	+	0.0402500i
$233$	−3.38843	−	14.8457i	−0.221983	−	0.972572i	−0.955983	−	0.293422i	$-0.905206\pi$
$233$	−3.38843	−	14.8457i	−0.221983	−	0.972572i	0.734000	−	0.679150i	$-0.237651\pi$
$234$	−2.52453	−	1.21575i	−0.165034	−	0.0794761i
$235$	−3.82317	+	1.84114i	−0.249396	+	0.120103i
$236$	−7.83053	−	34.3078i	−0.509724	−	2.23325i
$237$	−2.75332	−	12.0631i	−0.178847	−	0.783581i
$238$	7.84116	−	3.77611i	0.508267	−	0.244769i
$239$	−18.3823	−	8.85244i	−1.18905	−	0.572617i	−0.268515	−	0.963275i	$-0.586533\pi$
$239$	−18.3823	−	8.85244i	−1.18905	−	0.572617i	−0.920536	+	0.390659i	$0.872247\pi$
$240$	2.44709	+	10.7214i	0.157959	+	0.692063i
$241$	−18.1041	−	22.7018i	−1.16618	−	1.46235i	−0.859939	−	0.510397i	$-0.829498\pi$
$241$	−18.1041	−	22.7018i	−1.16618	−	1.46235i	−0.306246	−	0.951952i	$-0.599073\pi$
$242$	−0.900495	−	1.12919i	−0.0578860	−	0.0725868i
$243$	−12.3973	−	5.97021i	−0.795286	−	0.382989i
$244$	1.64026	−	7.18646i	0.105007	−	0.460066i
$245$	−3.29856	+	4.13626i	−0.210737	+	0.264256i
$246$	−8.35140	+	36.5899i	−0.532466	+	2.33288i
$247$	0.514568	−	0.247803i	0.0327412	−	0.0157673i
$248$	30.4287	+	38.1564i	1.93223	+	2.42294i
$249$	−13.8730	+	6.68089i	−0.879167	+	0.423384i
$250$	16.0859	−	20.1711i	1.01736	−	1.27573i
$251$	6.25717			0.394949			0.197475	−	0.980308i	$-0.436726\pi$
$251$	6.25717			0.394949			0.197475	+	0.980308i	$0.436726\pi$
$252$	23.2092			1.46204
$253$	13.9833	−	17.5346i	0.879126	−	1.10239i
$254$	15.7130	+	7.56699i	0.985922	+	0.474795i
$255$	0.317878	+	1.39272i	0.0199063	+	0.0872152i
$256$	6.00773	−	26.3216i	0.375483	−	1.64510i
$257$	−18.5263			−1.15564			−0.577820	−	0.816164i	$-0.696097\pi$
$257$	−18.5263			−1.15564			−0.577820	+	0.816164i	$0.696097\pi$
$258$	−3.33317	−	20.3234i	−0.207514	−	1.26528i
$259$	−37.7900			−2.34816
$260$	−0.864447	+	3.78739i	−0.0536107	+	0.234884i
$261$	0.0397775	+	0.174276i	0.00246216	+	0.0107874i
$262$	−8.29354	−	3.99396i	−0.512377	−	0.246748i
$263$	−9.96010	+	12.4896i	−0.614166	+	0.770140i	−0.987511	−	0.157553i	$-0.949640\pi$
$263$	−9.96010	+	12.4896i	−0.614166	+	0.770140i	0.373345	+	0.927693i	$0.378211\pi$
$264$	−26.0090			−1.60074
$265$	−4.48911			−0.275764
$266$	−4.24218	+	5.31953i	−0.260105	+	0.326161i
$267$	−13.3139	+	6.41164i	−0.814798	+	0.392386i
$268$	−5.90712	−	7.40730i	−0.360835	−	0.452473i
$269$	−23.5794	+	11.3553i	−1.43766	+	0.692342i	−0.980405	−	0.196992i	$-0.936883\pi$
$269$	−23.5794	+	11.3553i	−1.43766	+	0.692342i	−0.457258	+	0.889334i	$0.651168\pi$
$270$	−3.66238	+	16.0459i	−0.222885	+	0.976524i
$271$	−0.857758	+	1.07559i	−0.0521051	+	0.0653377i	−0.807201	−	0.590276i	$-0.799019\pi$
$271$	−0.857758	+	1.07559i	−0.0521051	+	0.0653377i	0.755096	+	0.655614i	$0.227590\pi$
$272$	−1.71301	+	7.50518i	−0.103866	+	0.455069i
$273$	−2.74106	−	1.32002i	−0.165896	−	0.0798914i
$274$	−1.96959	−	2.46979i	−0.118987	−	0.149205i
$275$	7.33595	+	9.19899i	0.442374	+	0.554720i
$276$	8.64239	+	37.8648i	0.520211	+	2.27919i
$277$	12.9940	+	6.25758i	0.780734	+	0.375982i	0.781410	−	0.624018i	$-0.214501\pi$
$277$	12.9940	+	6.25758i	0.780734	+	0.375982i	−0.000676074		1.00000i	$0.500215\pi$
$278$	−9.27291	+	4.46560i	−0.556152	+	0.267829i
$279$	2.47569	+	10.8467i	0.148215	+	0.649374i
$280$	−5.78492	−	25.3454i	−0.345715	−	1.51468i
$281$	−4.71748	+	2.27182i	−0.281421	+	0.135525i	−0.569270	−	0.822150i	$-0.692774\pi$
$281$	−4.71748	+	2.27182i	−0.281421	+	0.135525i	0.287849	+	0.957676i	$0.407060\pi$
$282$	10.3043	+	4.96230i	0.613613	+	0.295501i
$283$	1.11672	+	4.89265i	0.0663819	+	0.290838i	0.997213	−	0.0746126i	$-0.0237720\pi$
$283$	1.11672	+	4.89265i	0.0663819	+	0.290838i	−0.930831	+	0.365451i	$0.880915\pi$
$284$	−23.1140	−	28.9840i	−1.37156	−	1.71988i
$285$	−0.696319	−	0.873157i	−0.0412464	−	0.0517213i
$286$	−5.44743	−	2.62335i	−0.322113	−	0.155122i
$287$	9.03312	−	39.5767i	0.533208	−	2.33614i
$288$	−6.14904	+	7.71066i	−0.362336	+	0.454355i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	0.321152	−	0.154659i	0.0188587	−	0.00908188i
$291$	−5.69158	−	7.13701i	−0.333646	−	0.418379i
$292$	−49.5873	+	23.8800i	−2.90188	+	1.39747i
$293$	7.05996	−	8.85291i	0.412447	−	0.517192i	−0.531603	−	0.846993i	$-0.678410\pi$
$293$	7.05996	−	8.85291i	0.412447	−	0.517192i	0.944050	+	0.329801i	$0.106982\pi$
$294$	14.2590			0.831604
$295$	−8.98580			−0.523173
$296$	45.5505	−	57.1185i	2.64757	−	3.31995i
$297$	−16.0464	−	7.72754i	−0.931107	−	0.448398i
$298$	−10.6313	−	46.5789i	−0.615857	−	2.69824i
$299$	−1.12856	+	4.94454i	−0.0652662	+	0.285950i
$300$	−20.3755			−1.17638
$301$	3.60526	+	21.9824i	0.207804	+	1.26704i
$302$	−20.7481			−1.19392
$303$	−0.312710	+	1.37007i	−0.0179647	+	0.0787085i
$304$	−1.33921	−	5.86746i	−0.0768090	−	0.336522i
$305$	−1.69585	−	0.816681i	−0.0971044	−	0.0467630i
$306$	−2.39143	+	2.99875i	−0.136709	+	0.171427i
$307$	−5.92911			−0.338392			−0.169196	−	0.985582i	$-0.554117\pi$
$307$	−5.92911			−0.338392			−0.169196	+	0.985582i	$0.554117\pi$
$308$	50.0807			2.85361
$309$	−0.0436377	+	0.0547200i	−0.00248246	+	0.00311291i
$310$	19.9880	−	9.62571i	1.13524	−	0.546704i
$311$	−0.0904401	−	0.113408i	−0.00512839	−	0.00643079i	0.779261	−	0.626700i	$-0.215595\pi$
$311$	−0.0904401	−	0.113408i	−0.00512839	−	0.00643079i	−0.784389	+	0.620269i	$0.787023\pi$
$312$	5.29913	−	2.55193i	0.300004	−	0.144474i
$313$	−1.01729	+	4.45703i	−0.0575005	+	0.251926i	−0.995507	−	0.0946927i	$-0.969813\pi$
$313$	−1.01729	+	4.45703i	−0.0575005	+	0.251926i	0.938006	+	0.346619i	$0.112670\pi$
$314$	7.57179	−	9.49473i	0.427301	−	0.535818i
$315$	1.31876	−	5.77788i	0.0743039	−	0.325547i
$316$	−41.4982	−	19.9845i	−2.33445	−	1.12421i
$317$	8.59043	+	10.7721i	0.482487	+	0.605019i	0.962179	−	0.272418i	$-0.0878232\pi$
$317$	8.59043	+	10.7721i	0.482487	+	0.605019i	−0.479693	+	0.877437i	$0.659252\pi$
$318$	7.54371	+	9.45951i	0.423030	+	0.530463i
$319$	0.0858318	+	0.376054i	0.00480566	+	0.0210550i
$320$	1.55397	+	0.748353i	0.0868696	+	0.0418342i
$321$	−15.8328	+	7.62468i	−0.883702	+	0.425568i
$322$	−13.4447	−	58.9051i	−0.749244	−	3.28265i
$323$	−0.173964	−	0.762187i	−0.00967963	−	0.0424092i
$324$	9.32155	−	4.48902i	0.517864	−	0.249390i
$325$	−2.39722	−	1.15444i	−0.132974	−	0.0640369i
$326$	5.16074	+	22.6107i	0.285827	+	1.25229i
$327$	−7.05849	−	8.85106i	−0.390335	−	0.489465i
$328$	48.9309	+	61.3574i	2.70176	+	3.38789i
$329$	−11.1455	−	5.36737i	−0.614469	−	0.295913i
$330$	−2.63087	+	11.5266i	−0.144825	+	0.634518i
$331$	19.9961	−	25.0743i	1.09909	−	1.37821i	0.180226	−	0.983625i	$-0.442317\pi$
$331$	19.9961	−	25.0743i	1.09909	−	1.37821i	0.918860	−	0.394584i	$-0.129111\pi$
$332$	−12.7546	+	55.8814i	−0.699998	+	3.06689i
$333$	15.0053	−	7.22615i	0.822283	−	0.395991i
$334$	34.7525	+	43.5782i	1.90157	+	2.38449i
$335$	−2.17968	+	1.04968i	−0.119089	+	0.0573501i
$336$	−19.9886	+	25.0649i	−1.09047	+	1.36740i
$337$	−33.0261			−1.79905			−0.899523	−	0.436874i	$-0.856086\pi$
$337$	−33.0261			−1.79905			−0.899523	+	0.436874i	$0.856086\pi$
$338$	−31.9377			−1.73718
$339$	4.73557	−	5.93822i	0.257201	−	0.322520i
$340$	4.79108	+	2.30726i	0.259833	+	0.125129i
$341$	5.34203	+	23.4050i	0.289287	+	1.26745i
$342$	0.667248	−	2.92341i	0.0360807	−	0.158080i
$343$	8.35650			0.451208
$344$	−37.5714	−	21.0474i	−2.02571	−	1.13480i
$345$	9.91744			0.533937
$346$	−11.5729	+	50.7041i	−0.622162	+	2.72587i
$347$	−3.57171	−	15.6487i	−0.191739	−	0.840065i	−0.975675	−	0.219223i	$-0.929648\pi$
$347$	−3.57171	−	15.6487i	−0.191739	−	0.840065i	0.783935	−	0.620842i	$-0.213209\pi$
$348$	−0.601822	−	0.289822i	−0.0322610	−	0.0155361i
$349$	8.08935	−	10.1437i	0.433013	−	0.542981i	−0.516674	−	0.856182i	$-0.672830\pi$
$349$	8.08935	−	10.1437i	0.433013	−	0.542981i	0.949687	+	0.313201i	$0.101401\pi$
$350$	31.6975			1.69430
$351$	4.02754			0.214974
$352$	−13.2684	+	16.6380i	−0.707208	+	0.886811i
$353$	−3.15329	+	1.51854i	−0.167832	+	0.0808239i	−0.515914	−	0.856640i	$-0.672548\pi$
$353$	−3.15329	+	1.51854i	−0.167832	+	0.0808239i	0.348081	+	0.937464i	$0.386833\pi$
$354$	15.1002	+	18.9350i	0.802565	+	1.00638i
$355$	−8.52888	+	4.10729i	−0.452666	+	0.217992i
$356$	−12.2405	+	53.6293i	−0.648747	+	2.84235i
$357$	−2.59653	+	3.25595i	−0.137423	+	0.172323i
$358$	0.362149	−	1.58668i	0.0191402	−	0.0838585i
$359$	−12.8215	−	6.17451i	−0.676693	−	0.325878i	0.0637804	−	0.997964i	$-0.479684\pi$
$359$	−12.8215	−	6.17451i	−0.676693	−	0.325878i	−0.740473	+	0.672086i	$0.765399\pi$
$360$	7.14352	+	8.95769i	0.376497	+	0.472112i
$361$	−11.4652	−	14.3769i	−0.603433	−	0.756681i
$362$	3.52384	+	15.4389i	0.185209	+	0.811453i
$363$	0.622667	+	0.299860i	0.0326815	+	0.0157386i
$364$	−10.2036	+	4.91377i	−0.534812	+	0.257552i
$365$	3.12729	+	13.7016i	0.163690	+	0.717172i
$366$	1.12887	+	4.94592i	0.0590072	+	0.258527i
$367$	−13.5549	+	6.52771i	−0.707561	+	0.340744i	−0.752815	−	0.658232i	$-0.771305\pi$
$367$	−13.5549	+	6.52771i	−0.707561	+	0.340744i	0.0452538	+	0.998976i	$0.485590\pi$
$368$	48.1513	+	23.1884i	2.51006	+	1.20878i
$369$	3.98102	+	17.4420i	0.207244	+	0.907994i
$370$	−20.7061	−	25.9646i	−1.07646	−	1.34984i
$371$	−8.15950	−	10.2317i	−0.423620	−	0.531203i
$372$	−37.4564	−	18.0381i	−1.94202	−	0.935230i
$373$	0.737639	−	3.23181i	0.0381935	−	0.167337i	−0.952234	−	0.305368i	$-0.901220\pi$
$373$	0.737639	−	3.23181i	0.0381935	−	0.167337i	0.990428	+	0.138032i	$0.0440776\pi$
$374$	−5.16021	+	6.47070i	−0.266828	+	0.334592i
$375$	−2.74714	+	12.0360i	−0.141862	+	0.621537i
$376$	21.5469	−	10.3764i	1.11120	−	0.535124i
$377$	−0.0543848	−	0.0681964i	−0.00280096	−	0.00351230i
$378$	−43.2291	+	20.8180i	−2.22347	+	1.07076i
$379$	0.608318	−	0.762806i	0.0312472	−	0.0391827i	−0.765962	−	0.642885i	$-0.777737\pi$
$379$	0.608318	−	0.762806i	0.0312472	−	0.0391827i	0.797210	+	0.603703i	$0.206309\pi$
$380$	−4.15731			−0.213266
$381$	−8.34533			−0.427544
$382$	−19.3919	+	24.3167i	−0.992176	+	1.24415i
$383$	0.788634	+	0.379786i	0.0402973	+	0.0194062i	0.453924	−	0.891040i	$-0.350024\pi$
$383$	0.788634	+	0.379786i	0.0402973	+	0.0194062i	−0.413627	+	0.910447i	$0.635738\pi$
$384$	2.55957	+	11.2142i	0.130617	+	0.572272i
$385$	2.84563	−	12.4675i	0.145027	−	0.635403i
$386$	−43.5084			−2.21452
$387$	−5.63498	−	8.03915i	−0.286442	−	0.408653i
$388$	−33.9811			−1.72513
$389$	6.66669	−	29.2087i	0.338014	−	1.48094i	−0.465177	−	0.885217i	$-0.654009\pi$
$389$	6.66669	−	29.2087i	0.338014	−	1.48094i	0.803192	−	0.595720i	$-0.203133\pi$
$390$	−0.594937	−	2.60659i	−0.0301258	−	0.131990i
$391$	6.25489	+	3.01219i	0.316323	+	0.152333i
$392$	18.5902	−	23.3114i	0.938949	−	1.17740i
$393$	4.40478			0.222192
$394$	−59.4018			−2.99262
$395$	−7.33306	+	9.19536i	−0.368966	+	0.462669i
$396$	−19.8855	+	9.57636i	−0.999285	+	0.481230i
$397$	16.2107	+	20.3276i	0.813591	+	1.02021i	0.999293	+	0.0376048i	$0.0119728\pi$
$397$	16.2107	+	20.3276i	0.813591	+	1.02021i	−0.185702	+	0.982606i	$0.559456\pi$
$398$	−2.12668	+	1.02416i	−0.106601	+	0.0513363i
$399$	0.724477	−	3.17414i	0.0362692	−	0.158906i
$400$	−17.4813	+	21.9208i	−0.874063	+	1.09604i
$401$	4.52323	−	19.8176i	0.225880	−	0.989643i	−0.727082	−	0.686551i	$-0.759124\pi$
$401$	4.52323	−	19.8176i	0.225880	−	0.989643i	0.952961	−	0.303092i	$-0.0980190\pi$
$402$	5.87474	+	2.82913i	0.293006	+	0.141104i
$403$	−3.38482	−	4.24444i	−0.168610	−	0.211430i
$404$	3.26162	+	4.08995i	0.162272	+	0.203482i
$405$	−0.587876	−	2.57565i	−0.0292118	−	0.127985i
$406$	0.936236	+	0.450868i	0.0464646	+	0.0223762i
$407$	32.3783	−	15.5926i	1.60493	−	0.772895i
$408$	−1.79152	−	7.84917i	−0.0886935	−	0.388592i
$409$	3.45577	+	15.1407i	0.170877	+	0.748661i	0.985639	+	0.168865i	$0.0540103\pi$
$409$	3.45577	+	15.1407i	0.170877	+	0.748661i	−0.814762	+	0.579795i	$0.803133\pi$
$410$	32.1417	−	15.4786i	1.58736	−	0.764434i
$411$	1.36192	+	0.655864i	0.0671783	+	0.0323514i
$412$	0.0579745	+	0.254003i	0.00285620	+	0.0125138i
$413$	−16.3328	−	20.4807i	−0.803684	−	1.00779i
$414$	16.6022	+	20.8185i	0.815955	+	1.02318i
$415$	13.1869	+	6.35046i	0.647317	+	0.311732i
$416$	1.07086	−	4.69173i	0.0525031	−	0.230031i
$417$	3.07064	−	3.85047i	0.150370	−	0.188558i
$418$	1.43979	−	6.30812i	0.0704223	−	0.308540i
$419$	−29.1753	+	14.0501i	−1.42531	+	0.686391i	−0.978119	−	0.208049i	$-0.933289\pi$
$419$	−29.1753	+	14.0501i	−1.42531	+	0.686391i	−0.447188	+	0.894440i	$0.647575\pi$
$420$	13.8076	+	17.3142i	0.673741	+	0.844844i
$421$	−3.98096	+	1.91713i	−0.194020	+	0.0934351i	−0.528371	−	0.849013i	$-0.677197\pi$
$421$	−3.98096	+	1.91713i	−0.194020	+	0.0934351i	0.334351	+	0.942449i	$0.391483\pi$
$422$	−0.267968	+	0.336021i	−0.0130445	+	0.0163573i
$423$	5.45186			0.265079
$424$	25.3000			1.22868
$425$	−2.27083	+	2.84753i	−0.110151	+	0.138125i
$426$	22.9873	+	11.0701i	1.11374	+	0.536348i
$427$	−1.22102	−	5.34965i	−0.0590895	−	0.258888i
$428$	−14.5564	+	63.7756i	−0.703608	+	3.08271i
$429$	2.89318			0.139684
$430$	−13.1282	+	14.5218i	−0.633097	+	0.700303i
$431$	11.9098			0.573677			0.286838	−	0.957979i	$-0.407396\pi$
$431$	11.9098			0.573677			0.286838	+	0.957979i	$0.407396\pi$
$432$	9.44399	−	41.3768i	0.454374	−	1.99074i
$433$	2.75433	+	12.0675i	0.132365	+	0.579928i	0.996991	+	0.0775131i	$0.0246979\pi$
$433$	2.75433	+	12.0675i	0.132365	+	0.579928i	−0.864627	+	0.502415i	$0.832445\pi$
$434$	58.2698	+	28.0613i	2.79704	+	1.34698i
$435$	−0.106347	+	0.133355i	−0.00509894	+	0.00639386i
$436$	−42.1421			−2.01824
$437$	−5.42749			−0.259632
$438$	23.6169	−	29.6146i	1.12846	−	1.41504i
$439$	21.9387	−	10.5651i	1.04708	−	0.504246i	0.170426	−	0.985371i	$-0.445486\pi$
$439$	21.9387	−	10.5651i	1.04708	−	0.504246i	0.876652	+	0.481124i	$0.159771\pi$
$440$	15.4143	+	19.3289i	0.734847	+	0.921469i
$441$	6.12400	−	2.94916i	0.291619	−	0.140436i
$442$	0.416467	−	1.82466i	0.0198093	−	0.0867903i
$443$	−2.72366	+	3.41536i	−0.129405	+	0.162269i	−0.842313	−	0.538989i	$-0.818806\pi$
$443$	−2.72366	+	3.41536i	−0.129405	+	0.162269i	0.712908	+	0.701258i	$0.247378\pi$
$444$	−13.8483	+	60.6734i	−0.657211	+	2.87943i
$445$	12.6554	+	6.09452i	0.599923	+	0.288908i
$446$	−12.4866	−	15.6577i	−0.591257	−	0.741413i
$447$	14.2541	+	17.8741i	0.674196	+	0.845415i
$448$	1.11887	+	4.90207i	0.0528615	+	0.231601i
$449$	21.1464	+	10.1836i	0.997960	+	0.480592i	0.860246	−	0.509880i	$-0.170310\pi$
$449$	21.1464	+	10.1836i	0.997960	+	0.480592i	0.137715	+	0.990472i	$0.456024\pi$
$450$	−12.5861	+	6.06116i	−0.593316	+	0.285726i
$451$	8.59024	+	37.6363i	0.404499	+	1.77222i
$452$	−6.29140	−	27.5644i	−0.295923	−	1.29652i
$453$	8.94504	−	4.30770i	0.420274	−	0.202393i
$454$	−21.3553	−	10.2841i	−1.00225	−	0.482659i
$455$	0.643501	+	2.81936i	0.0301678	+	0.132174i
$456$	3.92437	+	4.92100i	0.183775	+	0.230447i
$457$	24.8549	+	31.1671i	1.16266	+	1.45793i	0.863941	+	0.503594i	$0.167989\pi$
$457$	24.8549	+	31.1671i	1.16266	+	1.45793i	0.298723	+	0.954340i	$0.403439\pi$
$458$	−59.9136	−	28.8529i	−2.79958	−	1.34821i
$459$	1.22678	−	5.37487i	0.0572612	−	0.250878i
$460$	23.0177	−	28.8633i	1.07321	−	1.34576i
$461$	4.15652	−	18.2109i	0.193589	−	0.848167i	−0.781065	−	0.624449i	$-0.785323\pi$
$461$	4.15652	−	18.2109i	0.193589	−	0.848167i	0.974654	−	0.223718i	$-0.0718194\pi$
$462$	−31.0536	+	14.9546i	−1.44475	+	0.695753i
$463$	−0.749733	−	0.940135i	−0.0348430	−	0.0436918i	0.764105	−	0.645092i	$-0.223181\pi$
$463$	−0.749733	−	0.940135i	−0.0348430	−	0.0436918i	−0.798948	+	0.601400i	$0.794610\pi$
$464$	−0.828139	+	0.398811i	−0.0384454	+	0.0185143i
$465$	−6.61885	+	8.29977i	−0.306942	+	0.384893i
$466$	39.0116			1.80718
$467$	−21.7715			−1.00746			−0.503732	−	0.863860i	$-0.668040\pi$
$467$	−21.7715			−1.00746			−0.503732	+	0.863860i	$0.668040\pi$
$468$	3.11192	−	3.90222i	0.143848	−	0.180380i
$469$	−6.35430	−	3.06007i	−0.293414	−	0.141301i
$470$	−2.41908	−	10.5987i	−0.111584	−	0.488882i
$471$	−1.29311	+	5.66546i	−0.0595831	+	0.261051i
$472$	50.6428			2.33103
$473$	−12.1592	−	17.3469i	−0.559079	−	0.797610i
$474$	31.6994			1.45600
$475$	0.633599	−	2.77598i	0.0290715	−	0.127371i
$476$	3.44960	+	15.1137i	0.158112	+	0.692735i
$477$	5.19638	+	2.50244i	0.237926	+	0.114579i
$478$	32.5901	−	40.8666i	1.49063	−	1.86920i
$479$	11.3339			0.517861			0.258931	−	0.965896i	$-0.416630\pi$
$479$	11.3339			0.517861			0.258931	+	0.965896i	$0.416630\pi$
$480$	−9.41037			−0.429523
$481$	−5.06694	+	6.35374i	−0.231032	+	0.289705i
$482$	67.0228	−	32.2765i	3.05280	−	1.47015i
$483$	18.0262	+	22.6041i	0.820219	+	1.02852i
$484$	2.31787	−	1.11623i	0.105358	−	0.0507376i
$485$	−1.93083	+	8.45953i	−0.0876746	+	0.384127i
$486$	21.9792	−	27.5611i	0.996997	−	1.25020i
$487$	0.127732	−	0.559632i	0.00578810	−	0.0253593i	−0.971951	−	0.235182i	$-0.924431\pi$
$487$	0.127732	−	0.559632i	0.00578810	−	0.0253593i	0.977740	+	0.209822i	$0.0672886\pi$
$488$	9.55762	+	4.60271i	0.432653	+	0.208355i
$489$	−6.91932	−	8.67656i	−0.312903	−	0.392368i
$490$	−8.45065	−	10.5968i	−0.381761	−	0.478714i
$491$	−7.61086	−	33.3453i	−0.343473	−	1.50485i	−0.791686	−	0.610928i	$-0.790797\pi$
$491$	−7.61086	−	33.3453i	−0.343473	−	1.50485i	0.448213	−	0.893927i	$-0.352061\pi$
$492$	−60.2317	−	29.0061i	−2.71546	−	1.30769i
$493$	−0.107576	+	0.0518058i	−0.00484497	+	0.00233322i
$494$	0.325589	+	1.42650i	0.0146489	+	0.0641812i
$495$	1.25411	+	5.49460i	0.0563679	+	0.246964i
$496$	−51.5421	+	24.8213i	−2.31431	+	1.11451i
$497$	−24.8637	−	11.9737i	−1.11529	−	0.537096i
$498$	−8.77805	−	38.4592i	−0.393354	−	1.72340i
$499$	6.94173	+	8.70465i	0.310754	+	0.389674i	0.912542	−	0.408982i	$-0.134116\pi$
$499$	6.94173	+	8.70465i	0.310754	+	0.389674i	−0.601788	+	0.798656i	$0.705545\pi$
$500$	28.6532	+	35.9300i	1.28141	+	1.60684i
$501$	−24.0303	−	11.5724i	−1.07360	−	0.517017i
$502$	−3.56710	+	15.6285i	−0.159207	+	0.697533i
$503$	11.4789	−	14.3941i	0.511818	−	0.641799i	−0.457032	−	0.889450i	$-0.651087\pi$
$503$	11.4789	−	14.3941i	0.511818	−	0.641799i	0.968849	+	0.247651i	$0.0796588\pi$
$504$	−7.43239	+	32.5634i	−0.331065	+	1.45049i
$505$	1.20351	−	0.579581i	0.0535556	−	0.0257910i
$506$	35.8243	+	44.9222i	1.59258	+	1.99704i
$507$	13.7692	−	6.63088i	0.611510	−	0.294488i
$508$	−19.3690	+	24.2879i	−0.859359	+	1.07760i
$509$	5.96372			0.264337			0.132169	−	0.991227i	$-0.457806\pi$
$509$	5.96372			0.264337			0.132169	+	0.991227i	$0.457806\pi$
$510$	−3.65979			−0.162058
$511$	−25.5447	+	32.0321i	−1.13003	+	1.41702i
$512$	45.4109	+	21.8688i	2.00690	+	0.966472i
$513$	0.959082	+	4.20201i	0.0423445	+	0.185523i
$514$	10.5615	−	46.2731i	0.465849	−	2.04102i
$515$	0.0665278			0.00293156
$516$	36.6148	+	2.26715i	1.61188	+	0.0998057i
$517$	11.7640			0.517381
$518$	21.5434	−	94.3877i	0.946562	−	4.14716i
$519$	−5.53778	−	24.2626i	−0.243081	−	1.06501i
$520$	−5.03704	−	2.42571i	−0.220889	−	0.106374i
$521$	−11.2144	+	14.0624i	−0.491311	+	0.616084i	−0.964245	−	0.265014i	$-0.914624\pi$
$521$	−11.2144	+	14.0624i	−0.491311	+	0.616084i	0.472934	+	0.881098i	$0.343195\pi$
$522$	−0.457965			−0.0200446
$523$	3.78244			0.165395			0.0826973	−	0.996575i	$-0.473647\pi$
$523$	3.78244			0.165395			0.0826973	+	0.996575i	$0.473647\pi$
$524$	10.2232	−	12.8195i	0.446603	−	0.560022i
$525$	−13.6656	+	6.58101i	−0.596416	+	0.287219i
$526$	−25.5170	−	31.9973i	−1.11259	−	1.39515i
$527$	−6.69534	+	3.22431i	−0.291654	+	0.140453i
$528$	6.78409	−	29.7230i	0.295240	−	1.29353i
$529$	15.7100	−	19.6997i	0.683044	−	0.856510i
$530$	2.55916	−	11.2124i	0.111163	−	0.487036i
$531$	10.4015	+	5.00912i	0.451388	+	0.217377i
$532$	−7.55643	−	9.47546i	−0.327613	−	0.410813i
$533$	−5.44296	−	6.82526i	−0.235761	−	0.295635i
$534$	−8.42428	−	36.9092i	−0.364554	−	1.59722i
$535$	15.0497	+	7.24757i	0.650656	+	0.313340i
$536$	12.2844	−	5.91586i	0.530606	−	0.255526i
$537$	0.173293	+	0.759246i	0.00747814	+	0.0327639i
$538$	−14.9197	−	65.3675i	−0.643234	−	2.81819i
$539$	13.2144	−	6.36370i	0.569183	−	0.274104i
$540$	−26.4137	−	12.7202i	−1.13666	−	0.547389i
$541$	−9.13908	−	40.0409i	−0.392920	−	1.72149i	−0.654281	−	0.756252i	$-0.727028\pi$
$541$	−9.13908	−	40.0409i	−0.392920	−	1.72149i	0.261361	−	0.965241i	$-0.415829\pi$
$542$	−2.19751	−	2.75559i	−0.0943912	−	0.118363i
$543$	−4.72463	−	5.92450i	−0.202753	−	0.254245i
$544$	−5.93508	−	2.85818i	−0.254464	−	0.122544i
$545$	−2.39455	+	10.4912i	−0.102571	+	0.449394i
$546$	4.85963	−	6.09379i	0.207973	−	0.260790i
$547$	−1.74031	+	7.62478i	−0.0744101	+	0.326012i	−0.998409	−	0.0563827i	$-0.982043\pi$
$547$	−1.74031	+	7.62478i	−0.0744101	+	0.326012i	0.923999	+	0.382395i	$0.124900\pi$
$548$	5.06972	−	2.44145i	0.216568	−	0.104294i
$549$	1.50779	+	1.89070i	0.0643507	+	0.0806932i
$550$	−27.1583	+	13.0788i	−1.15803	+	0.557680i
$551$	0.0582001	−	0.0729806i	0.00247941	−	0.00310908i
$552$	−55.8934			−2.37898
$553$	−34.2870			−1.45803
$554$	−23.0371	+	28.8877i	−0.978754	+	1.22732i
$555$	14.3177	+	6.89502i	0.607751	+	0.292677i
$556$	−4.07948	−	17.8734i	−0.173008	−	0.758000i
$557$	2.39323	−	10.4854i	0.101404	−	0.444281i	−0.898581	−	0.438808i	$-0.855401\pi$
$557$	2.39323	−	10.4854i	0.101404	−	0.444281i	0.999985	−	0.00547299i	$-0.00174211\pi$
$558$	−28.5030			−1.20663
$559$	4.17936	+	2.34127i	0.176768	+	0.0990251i
$560$	30.4736			1.28774
$561$	0.881258	−	3.86104i	0.0372067	−	0.163013i
$562$	−2.98495	−	13.0779i	−0.125913	−	0.551660i
$563$	−6.92801	−	3.33635i	−0.291981	−	0.140611i	0.282159	−	0.959368i	$-0.408949\pi$
$563$	−6.92801	−	3.33635i	−0.291981	−	0.140611i	−0.574140	+	0.818757i	$0.694664\pi$
$564$	−12.7018	+	15.9276i	−0.534844	+	0.670673i
$565$	−7.21960			−0.303731
$566$	−12.8570			−0.540418
$567$	4.80196	−	6.02147i	0.201663	−	0.252878i
$568$	48.0677	−	23.1482i	2.01687	−	0.971276i
$569$	−26.7619	−	33.5584i	−1.12192	−	1.40684i	−0.902222	−	0.431272i	$-0.858065\pi$
$569$	−26.7619	−	33.5584i	−1.12192	−	1.40684i	−0.219696	−	0.975568i	$-0.570507\pi$
$570$	2.57783	−	1.24142i	0.107974	−	0.0519974i
$571$	−4.46277	+	19.5527i	−0.186761	+	0.818253i	0.791549	+	0.611106i	$0.209275\pi$
$571$	−4.46277	+	19.5527i	−0.186761	+	0.818253i	−0.978310	+	0.207147i	$0.933582\pi$
$572$	6.71489	−	8.42020i	0.280764	−	0.352066i
$573$	3.31173	−	14.5097i	0.138350	−	0.606150i
$574$	93.7007	+	45.1239i	3.91099	+	1.88343i
$575$	15.7650	+	19.7687i	0.657445	+	0.824410i
$576$	−1.38164	−	1.73252i	−0.0575681	−	0.0721882i
$577$	7.29405	+	31.9573i	0.303655	+	1.33040i	0.864564	+	0.502522i	$0.167595\pi$
$577$	7.29405	+	31.9573i	0.303655	+	1.33040i	−0.560909	+	0.827877i	$0.689548\pi$
$578$	−2.30821	−	1.11158i	−0.0960090	−	0.0462355i
$579$	18.7576	−	9.03317i	0.779538	−	0.375406i
$580$	0.141286	+	0.619015i	0.00586659	+	0.0257032i
$581$	9.49460	+	41.5986i	0.393902	+	1.72580i
$582$	21.0707	−	10.1471i	0.873409	−	0.420612i
$583$	11.2127	+	5.39977i	0.464384	+	0.223636i
$584$	−17.6250	−	77.2203i	−0.729329	−	3.19540i
$585$	−0.794629	−	0.996434i	−0.0328539	−	0.0411975i
$586$	18.0871	+	22.6805i	0.747170	+	0.936921i
$587$	−2.93538	−	1.41360i	−0.121156	−	0.0583457i	0.372324	−	0.928103i	$-0.378561\pi$
$587$	−2.93538	−	1.41360i	−0.121156	−	0.0583457i	−0.493480	+	0.869757i	$0.664275\pi$
$588$	−5.65182	+	24.7622i	−0.233077	+	1.02118i
$589$	3.62228	−	4.54219i	0.149253	−	0.187158i
$590$	5.12264	−	22.4437i	0.210896	−	0.923994i
$591$	25.6096	−	12.3329i	1.05344	−	0.507309i
$592$	53.3938	+	66.9536i	2.19447	+	2.75178i
$593$	−38.4224	+	18.5032i	−1.57782	+	0.759837i	−0.998473	−	0.0552454i	$-0.982406\pi$
$593$	−38.4224	+	18.5032i	−1.57782	+	0.759837i	−0.579345	+	0.815082i	$0.696692\pi$
$594$	28.4488	−	35.6736i	1.16727	−	1.46371i
$595$	3.95854			0.162284
$596$	85.1029			3.48595
$597$	0.704232	−	0.883078i	0.0288223	−	0.0361420i
$598$	−11.7066	−	5.63758i	−0.478717	−	0.230538i
$599$	7.90089	+	34.6160i	0.322821	+	1.41437i	0.832508	+	0.554013i	$0.186904\pi$
$599$	7.90089	+	34.6160i	0.322821	+	1.41437i	−0.509686	+	0.860360i	$0.670239\pi$
$600$	6.52494	−	28.5876i	0.266380	−	1.16709i
$601$	17.0003			0.693458			0.346729	−	0.937965i	$-0.387292\pi$
$601$	17.0003			0.693458			0.346729	+	0.937965i	$0.387292\pi$
$602$	−56.9605	−	3.52694i	−2.32154	−	0.143747i
$603$	3.10824			0.126577
$604$	8.22388	−	36.0312i	0.334625	−	1.46609i
$605$	−0.146180	−	0.640455i	−0.00594305	−	0.0260382i
$606$	−3.24374	−	1.56210i	−0.131768	−	0.0634562i
$607$	5.34441	−	6.70168i	0.216923	−	0.272013i	−0.661449	−	0.749990i	$-0.730058\pi$
$607$	5.34441	−	6.70168i	0.216923	−	0.272013i	0.878372	+	0.477977i	$0.158630\pi$
$608$	5.14999			0.208859
$609$	−0.497244			−0.0201493
$610$	3.00659	−	3.77015i	0.121733	−	0.152649i
$611$	−2.39683	+	1.15425i	−0.0969653	+	0.0466960i
$612$	−4.25975	−	5.34156i	−0.172190	−	0.215920i
$613$	−21.2846	+	10.2501i	−0.859678	+	0.413999i	−0.811161	−	0.584823i	$-0.801164\pi$
$613$	−21.2846	+	10.2501i	−0.859678	+	0.413999i	−0.0485173	+	0.998822i	$0.515450\pi$
$614$	3.38008	−	14.8091i	0.136409	−	0.597646i
$615$	−10.6434	+	13.3464i	−0.429185	+	0.538180i
$616$	−16.0376	+	70.2653i	−0.646173	+	2.83107i
$617$	21.7470	+	10.4728i	0.875501	+	0.421619i	0.816979	−	0.576667i	$-0.195647\pi$
$617$	21.7470	+	10.4728i	0.875501	+	0.421619i	0.0585215	+	0.998286i	$0.481361\pi$
$618$	−0.111797	−	0.140188i	−0.00449711	−	0.00563920i
$619$	−0.955282	−	1.19789i	−0.0383960	−	0.0481471i	0.762263	−	0.647268i	$-0.224088\pi$
$619$	−0.955282	−	1.19789i	−0.0383960	−	0.0481471i	−0.800659	+	0.599121i	$0.795517\pi$
$620$	8.79342	+	38.5265i	0.353152	+	1.54726i
$621$	−34.4838	−	16.6065i	−1.38379	−	0.666397i
$622$	0.334817	−	0.161239i	0.0134249	−	0.00646511i
$623$	9.11195	+	39.9221i	0.365063	+	1.59944i
$624$	1.53413	+	6.72148i	0.0614145	+	0.269074i
$625$	−5.83438	+	2.80969i	−0.233375	+	0.112388i
$626$	−10.5523	−	5.08174i	−0.421756	−	0.203107i
$627$	0.688957	+	3.01852i	0.0275143	+	0.120548i
$628$	13.4873	+	16.9126i	0.538203	+	0.674885i
$629$	6.93588	+	8.69732i	0.276552	+	0.346785i
$630$	13.6796	+	6.58773i	0.545007	+	0.262461i
$631$	3.92045	−	17.1766i	0.156071	−	0.683791i	−0.834977	−	0.550284i	$-0.814519\pi$
$631$	3.92045	−	17.1766i	0.156071	−	0.683791i	0.991048	−	0.133506i	$-0.0426236\pi$
$632$	41.3282	−	51.8239i	1.64395	−	2.06144i
$633$	0.0457634	−	0.200503i	0.00181893	−	0.00796926i
$634$	−31.8025	+	15.3153i	−1.26304	+	0.608248i
$635$	4.94587	+	6.20193i	0.196271	+	0.246116i
$636$	−19.4175	+	9.35096i	−0.769953	+	0.370790i
$637$	−2.06794	+	2.59311i	−0.0819346	+	0.102743i
$638$	−0.988197			−0.0391231
$639$	12.1622			0.481130
$640$	6.81704	−	8.54830i	0.269467	−	0.337901i
$641$	39.0882	+	18.8239i	1.54389	+	0.743500i	0.995681	−	0.0928401i	$-0.0295946\pi$
$641$	39.0882	+	18.8239i	1.54389	+	0.743500i	0.548212	+	0.836340i	$0.315309\pi$
$642$	−10.0181	−	43.8922i	−0.395383	−	1.73229i
$643$	0.189049	−	0.828280i	0.00745538	−	0.0326642i	−0.971063	−	0.238822i	$-0.923239\pi$
$643$	0.189049	−	0.828280i	0.00745538	−	0.0326642i	0.978519	+	0.206158i	$0.0660960\pi$
$644$	107.624			4.24096
$645$	2.64489	−	8.98637i	0.104142	−	0.353838i
$646$	2.00288			0.0788023
$647$	−8.23952	+	36.0997i	−0.323929	+	1.41923i	0.506567	+	0.862201i	$0.330914\pi$
$647$	−8.23952	+	36.0997i	−0.323929	+	1.41923i	−0.830496	+	0.557025i	$0.811943\pi$
$648$	3.31319	+	14.5161i	0.130155	+	0.570244i
$649$	22.4444	+	10.8087i	0.881021	+	0.424277i
$650$	4.25005	−	5.32939i	0.166701	−	0.209036i
$651$	−30.9476			−1.21293
$652$	−41.3112			−1.61787
$653$	−17.2677	+	21.6531i	−0.675739	+	0.847349i	−0.994954	−	0.100333i	$-0.968009\pi$
$653$	−17.2677	+	21.6531i	−0.675739	+	0.847349i	0.319215	+	0.947682i	$0.396581\pi$
$654$	26.1311	−	12.5841i	1.02181	−	0.492077i
$655$	−2.61050	−	3.27346i	−0.102001	−	0.127905i
$656$	−82.8821	+	39.9139i	−3.23600	+	1.55838i
$657$	4.01790	−	17.6036i	0.156753	−	0.686781i
$658$	19.7599	−	24.7781i	0.770319	−	0.965950i
$659$	6.68117	−	29.2721i	0.260261	−	1.14028i	−0.660707	−	0.750644i	$-0.729744\pi$
$659$	6.68117	−	29.2721i	0.260261	−	1.14028i	0.920969	−	0.389636i	$-0.127399\pi$
$660$	−18.9743	−	9.13754i	−0.738573	−	0.355678i
$661$	7.28279	+	9.13233i	0.283268	+	0.355207i	0.903026	−	0.429586i	$-0.141341\pi$
$661$	7.28279	+	9.13233i	0.283268	+	0.355207i	−0.619758	+	0.784793i	$0.712769\pi$
$662$	51.2285	+	64.2385i	1.99105	+	2.49670i
$663$	0.199285	+	0.873124i	0.00773958	+	0.0339093i
$664$	−74.3195	−	35.7904i	−2.88415	−	1.38894i
$665$	−2.78826	+	1.34276i	−0.108124	+	0.0520699i
$666$	9.49447	+	41.5980i	0.367903	+	1.61189i
$667$	0.184453	+	0.808141i	0.00714204	+	0.0312913i
$668$	−89.4527	+	43.0782i	−3.46103	+	1.66674i
$669$	8.63412	+	4.15797i	0.333814	+	0.160757i
$670$	−1.37918	−	6.04257i	−0.0532823	−	0.233445i
$671$	3.25350	+	4.07976i	0.125600	+	0.157497i
$672$	−17.1045	−	21.4484i	−0.659821	−	0.827389i
$673$	−43.8041	−	21.0949i	−1.68852	−	0.813149i	−0.995761	−	0.0919827i	$-0.970680\pi$
$673$	−43.8041	−	21.0949i	−1.68852	−	0.813149i	−0.692762	−	0.721167i	$-0.743606\pi$
$674$	18.8276	−	82.4890i	0.725211	−	3.17736i
$675$	12.5193	−	15.6987i	0.481868	−	0.604243i
$676$	12.6591	−	55.4631i	0.486888	−	2.13320i
$677$	−29.3599	+	14.1390i	−1.12839	+	0.543405i	−0.902475	−	0.430742i	$-0.858252\pi$
$677$	−29.3599	+	14.1390i	−1.12839	+	0.543405i	−0.225917	+	0.974147i	$0.572538\pi$
$678$	12.1322	+	15.2133i	0.465933	+	0.584262i
$679$	−22.7907	+	10.9754i	−0.874627	+	0.421198i
$680$	−4.77146	+	5.98322i	−0.182977	+	0.229446i
$681$	11.3420			0.434625
$682$	−61.5037			−2.35510
$683$	17.0117	−	21.3320i	0.650936	−	0.816248i	−0.341387	−	0.939923i	$-0.610897\pi$
$683$	17.0117	−	21.3320i	0.650936	−	0.816248i	0.992323	+	0.123675i	$0.0394680\pi$
$684$	4.81231	+	2.31749i	0.184003	+	0.0886114i
$685$	−0.319729	−	1.40082i	−0.0122162	−	0.0535227i
$686$	−4.76389	+	20.8719i	−0.181886	+	0.796895i
$687$	31.8207			1.21403
$688$	33.8530	−	37.4466i	1.29063	−	1.42764i
$689$	−2.81432			−0.107217
$690$	−5.65375	+	24.7707i	−0.215235	+	0.943004i
$691$	8.14043	+	35.6655i	0.309676	+	1.35678i	0.855032	+	0.518576i	$0.173538\pi$
$691$	8.14043	+	35.6655i	0.309676	+	1.35678i	−0.545355	+	0.838205i	$0.683605\pi$
$692$	−83.4657	−	40.1950i	−3.17289	−	1.52798i
$693$	−10.2440	+	12.8455i	−0.389136	+	0.487961i
$694$	41.1217			1.56096
$695$	−4.68134			−0.177573
$696$	0.599357	−	0.751570i	0.0227186	−	0.0284882i
$697$	−10.7664	+	5.18484i	−0.407808	+	0.196390i
$698$	20.7243	+	25.9875i	0.784427	+	0.983640i
$699$	−16.8189	+	8.09954i	−0.636148	+	0.306353i
$700$	−12.5639	+	55.0459i	−0.474870	+	2.08054i
$701$	−2.17689	+	2.72973i	−0.0822199	+	0.103100i	−0.821240	−	0.570583i	$-0.806717\pi$
$701$	−2.17689	+	2.72973i	−0.0822199	+	0.103100i	0.739020	+	0.673683i	$0.235289\pi$
$702$	−2.29602	+	10.0595i	−0.0866579	+	0.379673i
$703$	−7.83558	−	3.77342i	−0.295525	−	0.142317i
$704$	−2.98129	−	3.73842i	−0.112362	−	0.140897i
$705$	3.24342	+	4.06712i	0.122154	+	0.153177i
$706$	−1.99522	−	8.74163i	−0.0750911	−	0.328995i
$707$	3.50853	+	1.68962i	0.131952	+	0.0635447i
$708$	−38.8678	+	18.7177i	−1.46074	+	0.703455i
$709$	9.31825	+	40.8259i	0.349954	+	1.53325i	0.777282	+	0.629152i	$0.216598\pi$
$709$	9.31825	+	40.8259i	0.349954	+	1.53325i	−0.427328	+	0.904097i	$0.640545\pi$
$710$	−5.39659	−	23.6440i	−0.202530	−	0.887343i
$711$	13.6143	−	6.55632i	0.510578	−	0.245881i
$712$	−71.3242	−	34.3479i	−2.67299	−	1.28724i
$713$	11.4800	+	50.2974i	0.429931	+	1.88365i
$714$	−6.65212	−	8.34149i	−0.248949	−	0.312172i
$715$	−1.71465	−	2.15010i	−0.0641243	−	0.0804093i
$716$	2.61188	+	1.25782i	0.0976105	+	0.0470068i
$717$	−5.56570	+	24.3849i	−0.207855	+	0.910673i
$718$	22.7313	−	28.5042i	0.848325	−	1.06377i
$719$	−6.61786	+	28.9948i	−0.246805	+	1.08132i	0.687875	+	0.725830i	$0.258544\pi$
$719$	−6.61786	+	28.9948i	−0.246805	+	1.08132i	−0.934679	+	0.355492i	$0.884313\pi$
$720$	−12.1001	+	5.82712i	−0.450945	+	0.217164i
$721$	0.120922	+	0.151632i	0.00450339	+	0.00564707i
$722$	42.4453	−	20.4406i	1.57965	−	0.760719i
$723$	−22.1940	+	27.8304i	−0.825404	+	1.03502i
$724$	−28.2080			−1.04834
$725$	−0.434870			−0.0161507
$726$	−1.10393	+	1.38428i	−0.0409707	+	0.0513756i
$727$	−9.80844	−	4.72349i	−0.363775	−	0.175185i	0.243063	−	0.970011i	$-0.421848\pi$
$727$	−9.80844	−	4.72349i	−0.363775	−	0.175185i	−0.606838	+	0.794826i	$0.707562\pi$
$728$	−3.62669	−	15.8896i	−0.134414	−	0.588907i
$729$	−5.26707	+	23.0766i	−0.195077	+	0.854687i
$730$	−36.0051			−1.33261
$731$	4.39752	−	4.86434i	0.162648	−	0.179914i
$732$	−9.03654			−0.334000
$733$	1.91977	−	8.41107i	0.0709084	−	0.310670i	−0.927019	−	0.375013i	$-0.877638\pi$
$733$	1.91977	−	8.41107i	0.0709084	−	0.310670i	0.997928	+	0.0643434i	$0.0204953\pi$
$734$	−8.57678	−	37.5773i	−0.316575	−	1.38701i
$735$	5.84338	+	2.81402i	0.215536	+	0.103797i
$736$	−28.5138	+	35.7552i	−1.05103	+	1.31796i
$737$	6.70695			0.247054
$738$	−45.8342			−1.68718
$739$	22.3057	−	27.9705i	0.820529	−	1.02891i	−0.178459	−	0.983947i	$-0.557111\pi$
$739$	22.3057	−	27.9705i	0.820529	−	1.02891i	0.998989	−	0.0449640i	$-0.0143173\pi$
$740$	53.2974	−	25.6667i	1.95925	−	0.943525i
$741$	−0.436538	−	0.547401i	−0.0160366	−	0.0201093i
$742$	30.2072	−	14.5470i	1.10894	−	0.534038i
$743$	1.13973	−	4.99349i	0.0418127	−	0.183194i	−0.949709	−	0.313133i	$-0.898621\pi$
$743$	1.13973	−	4.99349i	0.0418127	−	0.183194i	0.991522	+	0.129940i	$0.0414784\pi$
$744$	37.3030	−	46.7765i	1.36759	−	1.71491i
$745$	4.83562	−	21.1862i	0.177163	−	0.776203i
$746$	7.65154	+	3.68479i	0.280143	+	0.134910i
$747$	−11.7244	−	14.7020i	−0.428975	−	0.537917i
$748$	−9.19168	−	11.5260i	−0.336081	−	0.421433i
$749$	10.8359	+	47.4751i	0.395934	+	1.73470i
$750$	−28.4962	−	13.7230i	−1.04053	−	0.501094i
$751$	−25.6645	+	12.3594i	−0.936510	+	0.450999i	−0.838937	−	0.544229i	$-0.816822\pi$
$751$	−25.6645	+	12.3594i	−0.936510	+	0.450999i	−0.0975731	+	0.995228i	$0.531108\pi$
$752$	6.23797	+	27.3303i	0.227475	+	0.996635i
$753$	−1.70690	−	7.47843i	−0.0622030	−	0.272529i
$754$	0.201337	−	0.0969590i	0.00733228	−	0.00353104i
$755$	−8.50261	−	4.09464i	−0.309442	−	0.149019i
$756$	−19.0180	−	83.3233i	−0.691678	−	3.03044i
$757$	−24.7397	−	31.0226i	−0.899179	−	1.12753i	−0.991278	−	0.131784i	$-0.957929\pi$
$757$	−24.7397	−	31.0226i	−0.899179	−	1.12753i	0.0920999	−	0.995750i	$-0.470642\pi$
$758$	1.55846	+	1.95425i	0.0566059	+	0.0709816i
$759$	−24.7714	−	11.9293i	−0.899147	−	0.433006i
$760$	1.33132	−	5.83288i	0.0482920	−	0.211581i
$761$	31.8292	−	39.9126i	1.15381	−	1.44683i	0.280373	−	0.959891i	$-0.409542\pi$
$761$	31.8292	−	39.9126i	1.15381	−	1.44683i	0.873436	−	0.486940i	$-0.161887\pi$
$762$	4.75752	−	20.8440i	0.172347	−	0.755100i
$763$	−28.2642	+	13.6113i	−1.02323	+	0.492763i
$764$	−34.5420	−	43.3143i	−1.24969	−	1.56706i
$765$	−1.57181	+	0.756946i	−0.0568291	+	0.0273674i
$766$	−1.39817	+	1.75325i	−0.0505181	+	0.0633477i
$767$	−5.63339			−0.203410
$768$	−33.0978			−1.19431
$769$	−28.8169	+	36.1352i	−1.03916	+	1.30307i	−0.0874209	+	0.996171i	$0.527862\pi$
$769$	−28.8169	+	36.1352i	−1.03916	+	1.30307i	−0.951742	+	0.306898i	$0.900709\pi$
$770$	29.5177	+	14.2150i	1.06375	+	0.512273i
$771$	5.05382	+	22.1423i	0.182009	+	0.797434i
$772$	17.2453	−	75.5567i	0.620673	−	2.71935i
$773$	−12.9275			−0.464971			−0.232485	−	0.972600i	$-0.574686\pi$
$773$	−12.9275			−0.464971			−0.232485	+	0.972600i	$0.574686\pi$
$774$	23.2917	−	9.49148i	0.837203	−	0.341164i
$775$	−27.0656			−0.972225
$776$	10.8819	−	47.6768i	0.390638	−	1.71150i
$777$	10.3088	+	45.1657i	0.369826	+	1.62031i
$778$	69.1536	+	33.3026i	2.47928	+	1.19396i
$779$	5.82480	−	7.30406i	0.208695	−	0.261695i
$780$	4.76241			0.170522
$781$	26.2436			0.939071
$782$	−11.0893	+	13.9056i	−0.396553	+	0.497262i
$783$	0.593076	−	0.285610i	0.0211948	−	0.0102069i
$784$	21.7913	+	27.3254i	0.778259	+	0.975906i
$785$	4.97672	−	2.39666i	0.177627	−	0.0855405i
$786$	−2.51108	+	11.0018i	−0.0895674	+	0.392420i
$787$	31.2066	−	39.1318i	1.11239	−	1.39490i	0.202891	−	0.979201i	$-0.434966\pi$
$787$	31.2066	−	39.1318i	1.11239	−	1.39490i	0.909503	−	0.415697i	$-0.136462\pi$
$788$	23.5450	−	103.157i	0.838754	−	3.67482i
$789$	17.6443	+	8.49704i	0.628153	+	0.302502i
$790$	−18.7867	−	23.5578i	−0.668402	−	0.838150i
$791$	−13.1225	−	16.4551i	−0.466583	−	0.585077i
$792$	−7.06799	−	30.9669i	−0.251150	−	1.10036i
$793$	−1.06317	−	0.511995i	−0.0377542	−	0.0181815i
$794$	−60.0134	+	28.9009i	−2.12979	+	1.02566i
$795$	1.22459	+	5.36528i	0.0434317	+	0.190287i
$796$	−0.935601	−	4.09914i	−0.0331615	−	0.145290i
$797$	34.9153	−	16.8143i	1.23676	−	0.595594i	0.302832	−	0.953044i	$-0.402068\pi$
$797$	34.9153	−	16.8143i	1.23676	−	0.595594i	0.933932	+	0.357450i	$0.116354\pi$
$798$	7.51501	+	3.61904i	0.266028	+	0.128113i
$799$	0.810316	+	3.55023i	0.0286669	+	0.125598i
$800$	−14.9589	−	18.7579i	−0.528878	−	0.663193i
$801$	−11.2519	−	14.1095i	−0.397567	−	0.498533i
$802$	46.9196	+	22.5953i	1.65679	+	0.797867i
$803$	8.66983	−	37.9850i	0.305952	−	1.34046i
$804$	−7.24162	+	9.08070i	−0.255392	+	0.320252i
$805$	6.11526	−	26.7927i	0.215535	−	0.944319i
$806$	12.5309	−	6.03457i	0.441383	−	0.212559i
$807$	20.0038	+	25.0840i	0.704167	+	0.882998i
$808$	−6.78285	+	3.26645i	−0.238620	+	0.114913i
$809$	−27.7075	+	34.7441i	−0.974143	+	1.22154i	0.00100883	+	0.999999i	$0.499679\pi$
$809$	−27.7075	+	34.7441i	−0.974143	+	1.22154i	−0.975152	+	0.221537i	$0.928893\pi$
$810$	6.76832			0.237815
$811$	49.0122			1.72105			0.860525	−	0.509408i	$-0.170136\pi$
$811$	49.0122			1.72105			0.860525	+	0.509408i	$0.170136\pi$
$812$	−1.15407	+	1.44716i	−0.0404999	+	0.0507853i
$813$	1.51952	+	0.731760i	0.0532917	+	0.0256639i
$814$	20.4872	+	89.7601i	0.718074	+	3.14609i
$815$	−2.34734	+	10.2844i	−0.0822237	+	0.360245i
$816$	9.43732			0.330372
$817$	−1.44746	+	4.91794i	−0.0506402	+	0.172057i
$818$	−39.7869			−1.39112
$819$	0.826762	−	3.62228i	0.0288894	−	0.126573i
$820$	14.1402	+	61.9525i	0.493799	+	2.16347i
$821$	−33.3943	−	16.0818i	−1.16547	−	0.561260i	−0.251823	−	0.967773i	$-0.581030\pi$
$821$	−33.3943	−	16.0818i	−1.16547	−	0.561260i	−0.913645	+	0.406513i	$0.866745\pi$
$822$	−2.41455	+	3.02775i	−0.0842171	+	0.105605i
$823$	2.23511			0.0779109			0.0389555	−	0.999241i	$-0.487597\pi$
$823$	2.23511			0.0779109			0.0389555	+	0.999241i	$0.487597\pi$
$824$	−0.374942			−0.0130617
$825$	8.99324	−	11.2772i	0.313104	−	0.392620i
$826$	60.4654	−	29.1186i	2.10386	−	1.01317i
$827$	−21.2072	−	26.5930i	−0.737447	−	0.924729i	0.261736	−	0.965139i	$-0.415705\pi$
$827$	−21.2072	−	26.5930i	−0.737447	−	0.924729i	−0.999183	+	0.0404101i	$0.987134\pi$
$828$	−42.7341	+	20.5796i	−1.48511	+	0.715192i
$829$	−6.16504	+	27.0108i	−0.214121	+	0.938123i	0.747613	+	0.664135i	$0.231200\pi$
$829$	−6.16504	+	27.0108i	−0.214121	+	0.938123i	−0.961733	+	0.273988i	$0.911657\pi$
$830$	−23.3791	+	29.3164i	−0.811499	+	1.01759i
$831$	3.93427	−	17.2371i	0.136478	−	0.597950i
$832$	0.974218	+	0.469159i	0.0337749	+	0.0162652i
$833$	2.83070	+	3.54958i	0.0980779	+	0.122986i
$834$	7.86675	+	9.86460i	0.272403	+	0.341583i
$835$	5.64146	+	24.7168i	0.195231	+	0.855362i
$836$	10.3840	+	5.00067i	0.359138	+	0.172952i
$837$	36.9121	−	17.7759i	1.27587	−	0.614426i
$838$	−18.4605	−	80.8806i	−0.637706	−	2.79397i
$839$	−2.03659	−	8.92288i	−0.0703109	−	0.308052i	0.927529	−	0.373752i	$-0.121929\pi$
$839$	−2.03659	−	8.92288i	−0.0703109	−	0.308052i	−0.997839	+	0.0657003i	$0.979072\pi$
$840$	−28.7141	+	13.8280i	−0.990732	+	0.477111i
$841$	26.1153	+	12.5764i	0.900526	+	0.433670i
$842$	−2.51892	−	11.0361i	−0.0868078	−	0.380330i
$843$	4.00212	+	5.01850i	0.137840	+	0.172846i
$844$	−0.477321	−	0.598542i	−0.0164301	−	0.0206026i
$845$	−13.0881	−	6.30292i	−0.450246	−	0.216827i
$846$	−3.10801	+	13.6171i	−0.106856	+	0.468165i
$847$	1.19404	−	1.49728i	0.0410278	−	0.0514472i
$848$	−6.59917	+	28.9129i	−0.226616	+	0.992872i
$849$	5.54296	−	2.66935i	0.190234	−	0.0916118i
$850$	−5.81768	−	7.29515i	−0.199545	−	0.250221i
$851$	69.5812	−	33.5085i	2.38521	−	1.14866i
$852$	−28.3357	+	35.5319i	−0.970766	+	1.21730i
$853$	−7.92958			−0.271504			−0.135752	−	0.990743i	$-0.543345\pi$
$853$	−7.92958			−0.271504			−0.135752	+	0.990743i	$0.543345\pi$
$854$	14.0579			0.481050
$855$	0.850374	−	1.06634i	0.0290822	−	0.0364679i
$856$	−84.8183	−	40.8464i	−2.89903	−	1.39610i
$857$	−7.65525	−	33.5399i	−0.261499	−	1.14570i	−0.919627	−	0.392794i	$-0.871509\pi$
$857$	−7.65525	−	33.5399i	−0.261499	−	1.14570i	0.658128	−	0.752906i	$-0.271349\pi$
$858$	−1.64935	+	7.22627i	−0.0563079	+	0.246701i
$859$	52.0047			1.77438			0.887188	−	0.461408i	$-0.152656\pi$
$859$	52.0047			1.77438			0.887188	+	0.461408i	$0.152656\pi$
$860$	−20.0150	−	28.5544i	−0.682505	−	0.973696i
$861$	−49.7653			−1.69600
$862$	−6.78958	+	29.7471i	−0.231254	+	1.01319i
$863$	−4.14461	−	18.1587i	−0.141084	−	0.618131i	−0.995184	−	0.0980218i	$-0.968749\pi$
$863$	−4.14461	−	18.1587i	−0.141084	−	0.618131i	0.854100	−	0.520109i	$-0.174109\pi$
$864$	32.7207	+	15.7575i	1.11318	+	0.536079i
$865$	−14.7491	+	18.4947i	−0.501483	+	0.628840i
$866$	−31.7111			−1.07759
$867$	1.22591			0.0416342
$868$	−71.8275	+	90.0688i	−2.43798	+	3.05713i
$869$	29.3770	−	14.1472i	0.996547	−	0.479912i
$870$	−0.272452	−	0.341644i	−0.00923700	−	0.0115828i
$871$	−1.36649	+	0.658067i	−0.0463018	+	0.0222978i
$872$	13.4954	−	59.1271i	0.457011	−	2.00230i
$873$	6.95079	−	8.71602i	0.235249	−	0.294993i
$874$	3.09411	−	13.5562i	0.104660	−	0.458545i
$875$	30.8223	+	14.8432i	1.04198	+	0.501793i
$876$	42.0678	+	52.7514i	1.42134	+	1.78230i
$877$	16.4659	+	20.6476i	0.556014	+	0.697220i	0.977815	−	0.209468i	$-0.0671733\pi$
$877$	16.4659	+	20.6476i	0.556014	+	0.697220i	−0.421801	+	0.906688i	$0.638602\pi$
$878$	13.8816	+	60.8191i	0.468480	+	2.05255i
$879$	−12.5067	−	6.02290i	−0.421840	−	0.203147i
$880$	−26.1096	+	12.5737i	−0.880156	+	0.423861i
$881$	−4.70405	−	20.6098i	−0.158484	−	0.694362i	−0.990258	−	0.139248i	$-0.955532\pi$
$881$	−4.70405	−	20.6098i	−0.158484	−	0.694362i	0.831774	−	0.555114i	$-0.187326\pi$
$882$	3.87492	+	16.9771i	0.130475	+	0.571650i
$883$	37.3023	−	17.9638i	1.25532	−	0.604531i	0.316388	−	0.948630i	$-0.397530\pi$
$883$	37.3023	−	17.9638i	1.25532	−	0.604531i	0.938933	+	0.344099i	$0.111816\pi$
$884$	3.00363	+	1.44647i	0.101023	+	0.0486502i
$885$	2.45125	+	10.7396i	0.0823978	+	0.361008i
$886$	−6.97781	−	8.74989i	−0.234424	−	0.293958i
$887$	−29.5293	−	37.0286i	−0.991498	−	1.24330i	−0.969893	−	0.243533i	$-0.921694\pi$
$887$	−29.5293	−	37.0286i	−0.991498	−	1.24330i	−0.0216054	−	0.999767i	$-0.506878\pi$
$888$	−80.6925	−	38.8595i	−2.70786	−	1.30404i
$889$	−5.14587	+	22.5455i	−0.172587	+	0.756153i
$890$	−22.4368	+	28.1349i	−0.752084	+	0.943084i
$891$	−1.62978	+	7.14051i	−0.0545995	+	0.239216i
$892$	32.1404	−	15.4780i	1.07614	−	0.518242i
$893$	−1.77502	−	2.22580i	−0.0593986	−	0.0744835i
$894$	−52.7699	+	25.4127i	−1.76489	+	0.849926i
$895$	0.461540	−	0.578753i	0.0154276	−	0.0193456i
$896$	31.8743			1.06485
$897$	6.21746			0.207595
$898$	−37.4906	+	47.0117i	−1.25108	+	1.56880i
$899$	−0.799425	−	0.384983i	−0.0266623	−	0.0128399i
$900$	−5.53707	−	24.2595i	−0.184569	−	0.808650i
$901$	−0.857236	+	3.75580i	−0.0285587	+	0.125124i
$902$	−98.9010			−3.29304
$903$	25.2894	−	10.3055i	0.841578	−	0.342947i
$904$	40.6888			1.35329
$905$	−1.60280	+	7.02233i	−0.0532789	+	0.233430i
$906$	5.65991	+	24.7977i	0.188038	+	0.823848i
$907$	−12.3180	−	5.93202i	−0.409011	−	0.196969i	0.218053	−	0.975937i	$-0.430029\pi$
$907$	−12.3180	−	5.93202i	−0.409011	−	0.196969i	−0.627064	+	0.778967i	$0.715744\pi$
$908$	26.3240	−	33.0092i	0.873592	−	1.09545i
$909$	−1.71622			−0.0569233
$910$	−7.40874			−0.245597
$911$	−26.6938	+	33.4730i	−0.884405	+	1.10901i	0.108965	+	0.994046i	$0.465246\pi$
$911$	−26.6938	+	33.4730i	−0.884405	+	1.10901i	−0.993370	+	0.114963i	$0.963325\pi$
$912$	−6.64733	+	3.20119i	−0.220115	+	0.106002i
$913$	−25.2990	−	31.7239i	−0.837274	−	1.04991i
$914$	−92.0150	+	44.3121i	−3.04359	+	1.46571i
$915$	−0.513463	+	2.24963i	−0.0169746	+	0.0743705i
$916$	73.8537	−	92.6096i	2.44020	−	3.05991i
$917$	2.71606	−	11.8998i	0.0896923	−	0.392967i
$918$	12.7254	+	6.12823i	0.420001	+	0.202262i
$919$	2.47837	+	3.10778i	0.0817540	+	0.102516i	0.821026	−	0.570890i	$-0.193402\pi$
$919$	2.47837	+	3.10778i	0.0817540	+	0.102516i	−0.739272	+	0.673406i	$0.764830\pi$
$920$	33.1254	+	41.5379i	1.09211	+	1.36946i
$921$	1.61741	+	7.08634i	0.0532955	+	0.233503i
$922$	43.1157	+	20.7634i	1.41994	+	0.683807i
$923$	−5.34694	+	2.57495i	−0.175997	+	0.0847555i
$924$	−13.6616	−	59.8553i	−0.449433	−	1.96909i
$925$	9.01567	+	39.5002i	0.296433	+	1.29876i
$926$	2.77558	−	1.33665i	0.0912111	−	0.0439249i
$927$	−0.0770095	−	0.0370858i	−0.00252932	−	0.00121806i
$928$	−0.175022	−	0.766821i	−0.00574538	−	0.0251721i
$929$	−37.8663	−	47.4829i	−1.24235	−	1.55786i	−0.688456	−	0.725278i	$-0.741711\pi$
$929$	−37.8663	−	47.4829i	−1.24235	−	1.55786i	−0.553898	−	0.832584i	$-0.686860\pi$
$930$	−16.9570	−	21.2634i	−0.556041	−	0.697254i
$931$	−3.19789	−	1.54002i	−0.104807	−	0.0504722i
$932$	−15.4629	+	67.7475i	−0.506505	+	2.21914i
$933$	−0.110872	+	0.139029i	−0.00362978	+	0.00455160i
$934$	12.4115	−	54.3784i	0.406117	−	1.77931i
$935$	−3.39166	+	1.63334i	−0.110919	+	0.0534158i
$936$	4.47843	+	5.61577i	0.146382	+	0.183557i
$937$	8.65489	−	4.16797i	0.282743	−	0.136162i	−0.287138	−	0.957889i	$-0.592704\pi$
$937$	8.65489	−	4.16797i	0.282743	−	0.136162i	0.569881	+	0.821728i	$0.306989\pi$
$938$	11.2656	−	14.1266i	0.367834	−	0.461249i
$939$	5.60445			0.182894
$940$	19.3645			0.631602
$941$	−0.844791	+	1.05933i	−0.0275394	+	0.0345333i	−0.795410	−	0.606071i	$-0.792745\pi$
$941$	−0.844791	+	1.05933i	−0.0275394	+	0.0345333i	0.767871	+	0.640604i	$0.221316\pi$
$942$	−13.4134	−	6.45955i	−0.437032	−	0.210464i
$943$	18.4605	+	80.8806i	0.601156	+	2.63383i
$944$	−13.2095	+	57.8746i	−0.429932	+	1.88366i
$945$	−21.8238			−0.709929
$946$	50.2588	−	20.4807i	1.63405	−	0.665885i
$947$	−1.47487			−0.0479269			−0.0239634	−	0.999713i	$-0.507629\pi$
$947$	−1.47487			−0.0479269			−0.0239634	+	0.999713i	$0.507629\pi$
$948$	−12.5646	+	55.0492i	−0.408080	+	1.78792i
$949$	1.96057	+	8.58981i	0.0636427	+	0.278837i
$950$	6.57234	+	3.16507i	0.213235	+	0.102688i
$951$	10.5311	−	13.2056i	0.341495	−	0.428221i
$952$	−22.3098			−0.723065
$953$	−50.2545			−1.62790			−0.813951	−	0.580934i	$-0.802687\pi$
$953$	−50.2545			−1.62790			−0.813951	+	0.580934i	$0.802687\pi$
$954$	−9.21269	+	11.5524i	−0.298272	+	0.374021i
$955$	−12.7457	+	6.13802i	−0.412442	+	0.198622i
$956$	58.0514	+	72.7941i	1.87752	+	2.35433i
$957$	0.426036	−	0.205168i	0.0137718	−	0.00663215i
$958$	−6.46127	+	28.3087i	−0.208754	+	0.914612i
$959$	2.61165	−	3.27490i	0.0843345	−	0.105752i
$960$	0.470504	−	2.06141i	0.0151855	−	0.0665319i
$961$	−21.8249	−	10.5103i	−0.704029	−	0.339042i
$962$	−12.9811	−	16.2778i	−0.418527	−	0.524817i
$963$	−13.3807	−	16.7789i	−0.431187	−	0.540692i
$964$	29.4857	+	129.185i	0.949669	+	4.16077i
$965$	−17.8298	−	8.58639i	−0.573962	−	0.276406i
$966$	−66.7344	+	32.1376i	−2.14714	+	1.03401i
$967$	2.86153	+	12.5372i	0.0920207	+	0.403169i	0.999870	−	0.0161278i	$-0.00513385\pi$
$967$	2.86153	+	12.5372i	0.0920207	+	0.403169i	−0.907849	+	0.419297i	$0.862277\pi$
$968$	0.823850	+	3.60952i	0.0264795	+	0.116014i
$969$	−0.863493	+	0.415836i	−0.0277394	+	0.0133586i
$970$	−20.0286	−	9.64525i	−0.643078	−	0.309690i
$971$	−12.1419	−	53.1973i	−0.389654	−	1.70718i	−0.665853	−	0.746083i	$-0.731932\pi$
$971$	−12.1419	−	53.1973i	−0.389654	−	1.70718i	0.276199	−	0.961100i	$-0.410925\pi$
$972$	39.1507	+	49.0934i	1.25576	+	1.57467i
$973$	−8.50892	−	10.6698i	−0.272783	−	0.342059i
$974$	1.32497	+	0.638071i	0.0424547	+	0.0204451i
$975$	−0.725820	+	3.18003i	−0.0232448	+	0.101842i
$976$	−7.75295	+	9.72189i	−0.248166	+	0.311190i
$977$	0.401880	−	1.76075i	0.0128573	−	0.0563314i	−0.968092	−	0.250594i	$-0.919374\pi$
$977$	0.401880	−	1.76075i	0.0128573	−	0.0563314i	0.980950	+	0.194262i	$0.0622313\pi$
$978$	25.6159	−	12.3360i	0.819107	−	0.394461i
$979$	−24.2794	−	30.4454i	−0.775972	−	0.973038i
$980$	21.7519	−	10.4752i	0.694840	−	0.334617i
$981$	8.62012	−	10.8093i	0.275219	−	0.345114i
$982$	87.6252			2.79623
$983$	38.2953			1.22143			0.610716	−	0.791850i	$-0.290882\pi$
$983$	38.2953			1.22143			0.610716	+	0.791850i	$0.290882\pi$
$984$	59.9850	−	75.2188i	1.91225	−	2.39789i
$985$	−24.3430	−	11.7230i	−0.775631	−	0.373524i
$986$	−0.0680678	−	0.298225i	−0.00216772	−	0.00949741i
$987$	−3.37457	+	14.7850i	−0.107414	+	0.470611i
$988$	−2.60631			−0.0829178
$989$	−26.1301	−	37.2785i	−0.830888	−	1.18539i
$990$	−14.4388			−0.458894
$991$	−0.849604	+	3.72236i	−0.0269886	+	0.118245i	−0.986628	−	0.162989i	$-0.947886\pi$
$991$	−0.849604	+	3.72236i	−0.0269886	+	0.118245i	0.959639	+	0.281234i	$0.0907436\pi$
$992$	−10.8931	−	47.7257i	−0.345856	−	1.51529i
$993$	−35.4230	−	17.0588i	−1.12412	−	0.541346i
$994$	44.0810	−	55.2759i	1.39817	−	1.75324i
$995$	−1.07363			−0.0340365
$996$	70.2675			2.22651
$997$	12.7231	−	15.9542i	0.402944	−	0.505276i	−0.538416	−	0.842679i	$-0.680977\pi$
$997$	12.7231	−	15.9542i	0.402944	−	0.505276i	0.941360	+	0.337403i	$0.109549\pi$
$998$	−25.6989	+	12.3759i	−0.813484	+	0.391753i
$999$	−38.2382	−	47.9492i	−1.20980	−	1.51705i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.a.35.3	✓	180
43.16	even	7	inner	731.2.k.a.188.3	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.3	✓	180	1.1	even	1	trivial
731.2.k.a.188.3	yes	180	43.16	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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.570082 + 2.49769i) q^{2} +(-0.272791 - 1.19518i) q^{3} +(-4.11153 - 1.98001i) q^{4} +(-0.726540 + 0.911052i) q^{5} +3.14070 q^{6} -3.39707 q^{7} +(4.09469 - 5.13458i) q^{8} +(1.34887 - 0.649583i) q^{9} +O(q^{10})\)	\(q+(-0.570082 + 2.49769i) q^{2} +(-0.272791 - 1.19518i) q^{3} +(-4.11153 - 1.98001i) q^{4} +(-0.726540 + 0.911052i) q^{5} +3.14070 q^{6} -3.39707 q^{7} +(4.09469 - 5.13458i) q^{8} +(1.34887 - 0.649583i) q^{9} +(-1.86134 - 2.33405i) q^{10} +(2.91060 - 1.40167i) q^{11} +(-1.24487 + 5.45413i) q^{12} +(-0.455484 + 0.571159i) q^{13} +(1.93661 - 8.48483i) q^{14} +(1.28706 + 0.619817i) q^{15} +(4.79974 + 6.01869i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.853490 + 3.73938i) q^{18} +(-0.704367 - 0.339205i) q^{19} +(4.79108 - 2.30726i) q^{20} +(0.926692 + 4.06010i) q^{21} +(1.84166 + 8.06884i) q^{22} +(6.25489 - 3.01219i) q^{23} +(-7.25372 - 3.49321i) q^{24} +(0.810449 + 3.55081i) q^{25} +(-1.16691 - 1.46327i) q^{26} +(-3.43736 - 4.31031i) q^{27} +(13.9672 + 6.72623i) q^{28} +(-0.0265690 + 0.116407i) q^{29} +(-2.28184 + 2.86134i) q^{30} +(-1.65361 + 7.24495i) q^{31} +(-5.93508 + 2.85818i) q^{32} +(-2.46923 - 3.09632i) q^{33} +(-2.30821 + 1.11158i) q^{34} +(2.46811 - 3.09491i) q^{35} -6.83211 q^{36} +11.1243 q^{37} +(1.24878 - 1.56592i) q^{38} +(0.806888 + 0.388577i) q^{39} +(1.70291 + 7.46095i) q^{40} +(-2.65909 + 11.6502i) q^{41} -10.6692 q^{42} +(-1.06129 - 6.47099i) q^{43} -14.7423 q^{44} +(-0.388206 + 1.70084i) q^{45} +(3.95773 + 17.3400i) q^{46} +(3.28090 + 1.58000i) q^{47} +(5.88407 - 7.37839i) q^{48} +4.54009 q^{49} -9.33084 q^{50} +(0.764344 - 0.958458i) q^{51} +(3.00363 - 1.44647i) q^{52} +(2.40192 + 3.01192i) q^{53} +(12.7254 - 6.12823i) q^{54} +(-0.837671 + 3.67008i) q^{55} +(-13.9099 + 17.4425i) q^{56} +(-0.213265 + 0.934375i) q^{57} +(-0.275601 - 0.132722i) q^{58} +(4.80790 + 6.02892i) q^{59} +(-4.06455 - 5.09679i) q^{60} +(0.359434 + 1.57478i) q^{61} +(-17.1530 - 8.26043i) q^{62} +(-4.58222 + 2.20668i) q^{63} +(-0.329362 - 1.44303i) q^{64} +(-0.189428 - 0.829939i) q^{65} +(9.14130 - 4.40222i) q^{66} +(1.87052 + 0.900796i) q^{67} +(-1.01546 - 4.44904i) q^{68} +(-5.30638 - 6.65400i) q^{69} +(6.32310 + 7.92892i) q^{70} +(7.31917 + 3.52472i) q^{71} +(2.18788 - 9.58573i) q^{72} +(7.51963 - 9.42932i) q^{73} +(-6.34175 + 27.7850i) q^{74} +(4.02276 - 1.93726i) q^{75} +(2.22440 + 2.78930i) q^{76} +(-9.88750 + 4.76157i) q^{77} +(-1.43054 + 1.79384i) q^{78} +10.0931 q^{79} -8.97055 q^{80} +(-1.41356 + 1.77255i) q^{81} +(-27.5828 - 13.2832i) q^{82} +(-2.79494 - 12.2454i) q^{83} +(4.22891 - 18.5281i) q^{84} -1.16528 q^{85} +(16.7675 + 1.03823i) q^{86} +0.146374 q^{87} +(4.72101 - 20.6841i) q^{88} +(-2.68230 - 11.7519i) q^{89} +(-4.02687 - 1.93924i) q^{90} +(1.54731 - 1.94027i) q^{91} -31.6813 q^{92} +9.11010 q^{93} +(-5.81673 + 7.29395i) q^{94} +(0.820784 - 0.395269i) q^{95} +(5.03508 + 6.31378i) q^{96} +(6.70893 - 3.23085i) q^{97} +(-2.58822 + 11.3397i) q^{98} +(3.01553 - 3.78135i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

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