LMFDB - Embedded newform 731.2.k.b.35.5

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			35.5
Character	$\chi$	$=$	731.35
Dual form			731.2.k.b.188.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.464976 + 2.03719i) q^{2} +(0.214156 + 0.938278i) q^{3} +(-2.13202 - 1.02673i) q^{4} +(-1.50470 + 1.88683i) q^{5} -2.01103 q^{6} -4.68221 q^{7} +(0.477312 - 0.598530i) q^{8} +(1.86840 - 0.899776i) q^{9} +O(q^{10})$	\(q+(-0.464976 + 2.03719i) q^{2} +(0.214156 + 0.938278i) q^{3} +(-2.13202 - 1.02673i) q^{4} +(-1.50470 + 1.88683i) q^{5} -2.01103 q^{6} -4.68221 q^{7} +(0.477312 - 0.598530i) q^{8} +(1.86840 - 0.899776i) q^{9} +(-3.14419 - 3.94269i) q^{10} +(-1.95115 + 0.939627i) q^{11} +(0.506771 - 2.22031i) q^{12} +(2.22511 - 2.79020i) q^{13} +(2.17712 - 9.53858i) q^{14} +(-2.09261 - 1.00775i) q^{15} +(-1.95342 - 2.44952i) q^{16} +(-0.623490 - 0.781831i) q^{17} +(0.964255 + 4.22468i) q^{18} +(3.42718 + 1.65044i) q^{19} +(5.14531 - 2.47785i) q^{20} +(-1.00272 - 4.39322i) q^{21} +(-1.00696 - 4.41179i) q^{22} +(-1.93449 + 0.931600i) q^{23} +(0.663807 + 0.319672i) q^{24} +(-0.183412 - 0.803582i) q^{25} +(4.64956 + 5.83036i) q^{26} +(3.04452 + 3.81771i) q^{27} +(9.98257 + 4.80735i) q^{28} +(-1.84889 + 8.10051i) q^{29} +(3.02599 - 3.79448i) q^{30} +(2.02289 - 8.86287i) q^{31} +(7.27791 - 3.50486i) q^{32} +(-1.29948 - 1.62950i) q^{33} +(1.88265 - 0.906637i) q^{34} +(7.04531 - 8.83454i) q^{35} -4.90730 q^{36} -4.47962 q^{37} +(-4.95583 + 6.21442i) q^{38} +(3.09451 + 1.49024i) q^{39} +(0.411115 + 1.80121i) q^{40} +(-0.441312 + 1.93351i) q^{41} +9.41608 q^{42} +(-5.34014 - 3.80564i) q^{43} +5.12464 q^{44} +(-1.11366 + 4.87925i) q^{45} +(-0.998360 - 4.37410i) q^{46} +(-11.6315 - 5.60144i) q^{47} +(1.87999 - 2.35743i) q^{48} +14.9231 q^{49} +1.72233 q^{50} +(0.600051 - 0.752440i) q^{51} +(-7.60876 + 3.66419i) q^{52} +(1.46149 + 1.83265i) q^{53} +(-9.19305 + 4.42714i) q^{54} +(1.16298 - 5.09535i) q^{55} +(-2.23488 + 2.80245i) q^{56} +(-0.814624 + 3.56910i) q^{57} +(-15.6426 - 7.53309i) q^{58} +(0.0167102 + 0.0209539i) q^{59} +(3.42681 + 4.29708i) q^{60} +(-2.27760 - 9.97884i) q^{61} +(17.1148 + 8.24205i) q^{62} +(-8.74826 + 4.21294i) q^{63} +(2.36168 + 10.3472i) q^{64} +(1.91652 + 8.39682i) q^{65} +(3.92383 - 1.88962i) q^{66} +(-1.11881 - 0.538790i) q^{67} +(0.526566 + 2.30703i) q^{68} +(-1.28838 - 1.61558i) q^{69} +(14.7218 + 18.4605i) q^{70} +(-3.91273 - 1.88427i) q^{71} +(0.353268 - 1.54777i) q^{72} +(-1.23634 + 1.55032i) q^{73} +(2.08292 - 9.12586i) q^{74} +(0.714704 - 0.344183i) q^{75} +(-5.61227 - 7.03756i) q^{76} +(9.13572 - 4.39953i) q^{77} +(-4.47477 + 5.61118i) q^{78} -6.33696 q^{79} +7.56114 q^{80} +(0.948855 - 1.18983i) q^{81} +(-3.73374 - 1.79808i) q^{82} +(-1.38880 - 6.08471i) q^{83} +(-2.37281 + 10.3959i) q^{84} +2.41335 q^{85} +(10.2359 - 9.10937i) q^{86} -7.99648 q^{87} +(-0.368914 + 1.61632i) q^{88} +(3.01283 + 13.2001i) q^{89} +(-9.42216 - 4.53747i) q^{90} +(-10.4184 + 13.0643i) q^{91} +5.08087 q^{92} +8.74905 q^{93} +(16.8196 - 21.0911i) q^{94} +(-8.27098 + 3.98309i) q^{95} +(4.84714 + 6.07812i) q^{96} +(-14.9976 + 7.22247i) q^{97} +(-6.93889 + 30.4013i) q^{98} +(-2.80009 + 3.51120i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) $ 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * 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 $

$2$	−0.464976	+	2.03719i	−0.328788	+	1.44051i	0.492656	+	0.870224i	$0.336026\pi$
$2$	−0.464976	+	2.03719i	−0.328788	+	1.44051i	−0.821444	+	0.570290i	$0.806831\pi$
$3$	0.214156	+	0.938278i	0.123643	+	0.541715i	0.998369	+	0.0570967i	$0.0181843\pi$
$3$	0.214156	+	0.938278i	0.123643	+	0.541715i	−0.874726	+	0.484618i	$0.838959\pi$
$4$	−2.13202	−	1.02673i	−1.06601	−	0.513363i
$5$	−1.50470	+	1.88683i	−0.672921	+	0.843817i	−0.994681	−	0.103005i	$-0.967154\pi$
$5$	−1.50470	+	1.88683i	−0.672921	+	0.843817i	0.321760	+	0.946821i	$0.395726\pi$
$6$	−2.01103			−0.821000
$7$	−4.68221			−1.76971			−0.884855	−	0.465867i	$-0.845743\pi$
$7$	−4.68221			−1.76971			−0.884855	+	0.465867i	$0.845743\pi$
$8$	0.477312	−	0.598530i	0.168755	−	0.211612i
$9$	1.86840	−	0.899776i	0.622801	−	0.299925i
$10$	−3.14419	−	3.94269i	−0.994281	−	1.24679i
$11$	−1.95115	+	0.939627i	−0.588295	+	0.283308i	−0.704256	−	0.709946i	$-0.748719\pi$
$11$	−1.95115	+	0.939627i	−0.588295	+	0.283308i	0.115961	+	0.993254i	$0.463005\pi$
$12$	0.506771	−	2.22031i	0.146292	−	0.640947i
$13$	2.22511	−	2.79020i	0.617135	−	0.773863i	−0.370803	−	0.928711i	$-0.620918\pi$
$13$	2.22511	−	2.79020i	0.617135	−	0.773863i	0.987938	+	0.154849i	$0.0494890\pi$
$14$	2.17712	−	9.53858i	0.581859	−	2.54929i
$15$	−2.09261	−	1.00775i	−0.540310	−	0.260200i
$16$	−1.95342	−	2.44952i	−0.488356	−	0.612379i
$17$	−0.623490	−	0.781831i	−0.151218	−	0.189622i
$17$	−0.623490	−	0.781831i	−0.151218	−	0.189622i
$18$	0.964255	+	4.22468i	0.227277	+	0.995766i
$19$	3.42718	+	1.65044i	0.786249	+	0.378638i	0.783526	−	0.621359i	$-0.213419\pi$
$19$	3.42718	+	1.65044i	0.786249	+	0.378638i	0.00272295	+	0.999996i	$0.499133\pi$
$20$	5.14531	−	2.47785i	1.15053	−	0.554064i
$21$	−1.00272	−	4.39322i	−0.218812	−	0.958678i
$22$	−1.00696	−	4.41179i	−0.214685	−	0.940596i
$23$	−1.93449	+	0.931600i	−0.403369	+	0.194252i	−0.624557	−	0.780979i	$-0.714721\pi$
$23$	−1.93449	+	0.931600i	−0.403369	+	0.194252i	0.221189	+	0.975231i	$0.429006\pi$
$24$	0.663807	+	0.319672i	0.135499	+	0.0652529i
$25$	−0.183412	−	0.803582i	−0.0366825	−	0.160716i
$26$	4.64956	+	5.83036i	0.911854	+	1.14343i
$27$	3.04452	+	3.81771i	0.585919	+	0.734719i
$28$	9.98257	+	4.80735i	1.88653	+	0.908504i
$29$	−1.84889	+	8.10051i	−0.343330	+	1.50423i	0.448665	+	0.893700i	$0.351900\pi$
$29$	−1.84889	+	8.10051i	−0.343330	+	1.50423i	−0.791995	+	0.610527i	$0.790957\pi$
$30$	3.02599	−	3.79448i	0.552469	−	0.692774i
$31$	2.02289	−	8.86287i	0.363322	−	1.59182i	−0.381378	−	0.924419i	$-0.624550\pi$
$31$	2.02289	−	8.86287i	0.363322	−	1.59182i	0.744700	−	0.667400i	$-0.232593\pi$
$32$	7.27791	−	3.50486i	1.28656	−	0.619577i
$33$	−1.29948	−	1.62950i	−0.226211	−	0.283659i
$34$	1.88265	−	0.906637i	0.322872	−	0.155487i
$35$	7.04531	−	8.83454i	1.19088	−	1.49331i
$36$	−4.90730			−0.817883
$37$	−4.47962			−0.736445			−0.368222	−	0.929738i	$-0.620034\pi$
$37$	−4.47962			−0.736445			−0.368222	+	0.929738i	$0.620034\pi$
$38$	−4.95583	+	6.21442i	−0.803942	+	1.00811i
$39$	3.09451	+	1.49024i	0.495517	+	0.238629i
$40$	0.411115	+	1.80121i	0.0650030	+	0.284797i
$41$	−0.441312	+	1.93351i	−0.0689214	+	0.301964i	−0.997627	−	0.0688543i	$-0.978066\pi$
$41$	−0.441312	+	1.93351i	−0.0689214	+	0.301964i	0.928705	+	0.370818i	$0.120923\pi$
$42$	9.41608			1.45293
$43$	−5.34014	−	3.80564i	−0.814363	−	0.580355i
$43$	−5.34014	−	3.80564i	−0.814363	−	0.580355i
$44$	5.12464			0.772569
$45$	−1.11366	+	4.87925i	−0.166014	+	0.727356i
$46$	−0.998360	−	4.37410i	−0.147200	−	0.644926i
$47$	−11.6315	−	5.60144i	−1.69663	−	0.817054i	−0.994468	−	0.105038i	$-0.966504\pi$
$47$	−11.6315	−	5.60144i	−1.69663	−	0.817054i	−0.702163	−	0.712016i	$-0.747782\pi$
$48$	1.87999	−	2.35743i	0.271353	−	0.340266i
$49$	14.9231			2.13187
$50$	1.72233			0.243575
$51$	0.600051	−	0.752440i	0.0840240	−	0.105363i
$52$	−7.60876	+	3.66419i	−1.05514	+	0.508131i
$53$	1.46149	+	1.83265i	0.200751	+	0.251734i	0.872009	−	0.489490i	$-0.162817\pi$
$53$	1.46149	+	1.83265i	0.200751	+	0.251734i	−0.671258	+	0.741224i	$0.734246\pi$
$54$	−9.19305	+	4.42714i	−1.25102	+	0.602457i
$55$	1.16298	−	5.09535i	0.156816	−	0.687057i
$56$	−2.23488	+	2.80245i	−0.298648	+	0.374492i
$57$	−0.814624	+	3.56910i	−0.107900	+	0.472739i
$58$	−15.6426	−	7.53309i	−2.05398	−	0.989144i
$59$	0.0167102	+	0.0209539i	0.00217548	+	0.00272796i	0.782918	−	0.622125i	$-0.213730\pi$
$59$	0.0167102	+	0.0209539i	0.00217548	+	0.00272796i	−0.780743	+	0.624853i	$0.785159\pi$
$60$	3.42681	+	4.29708i	0.442399	+	0.554751i
$61$	−2.27760	−	9.97884i	−0.291617	−	1.27766i	−0.882274	−	0.470736i	$-0.843988\pi$
$61$	−2.27760	−	9.97884i	−0.291617	−	1.27766i	0.590657	−	0.806923i	$-0.298869\pi$
$62$	17.1148	+	8.24205i	2.17358	+	1.04674i
$63$	−8.74826	+	4.21294i	−1.10218	+	0.530781i
$64$	2.36168	+	10.3472i	0.295210	+	1.29340i
$65$	1.91652	+	8.39682i	0.237715	+	1.04150i
$66$	3.92383	−	1.88962i	0.482991	−	0.232596i
$67$	−1.11881	−	0.538790i	−0.136684	−	0.0658237i	0.364292	−	0.931285i	$-0.381311\pi$
$67$	−1.11881	−	0.538790i	−0.136684	−	0.0658237i	−0.500976	+	0.865461i	$0.667025\pi$
$68$	0.526566	+	2.30703i	0.0638555	+	0.279769i
$69$	−1.28838	−	1.61558i	−0.155103	−	0.194493i
$70$	14.7218	+	18.4605i	1.75959	+	2.20646i
$71$	−3.91273	−	1.88427i	−0.464356	−	0.223622i	0.187052	−	0.982350i	$-0.440107\pi$
$71$	−3.91273	−	1.88427i	−0.464356	−	0.223622i	−0.651408	+	0.758728i	$0.725821\pi$
$72$	0.353268	−	1.54777i	0.0416331	−	0.182406i
$73$	−1.23634	+	1.55032i	−0.144703	+	0.181451i	−0.848901	−	0.528552i	$-0.822735\pi$
$73$	−1.23634	+	1.55032i	−0.144703	+	0.181451i	0.704198	+	0.710003i	$0.251307\pi$
$74$	2.08292	−	9.12586i	0.242134	−	1.06086i
$75$	0.714704	−	0.344183i	0.0825269	−	0.0397429i
$76$	−5.61227	−	7.03756i	−0.643771	−	0.807263i
$77$	9.13572	−	4.39953i	1.04111	−	0.501373i
$78$	−4.47477	+	5.61118i	−0.506668	+	0.635342i
$79$	−6.33696			−0.712964			−0.356482	−	0.934302i	$-0.616024\pi$
$79$	−6.33696			−0.712964			−0.356482	+	0.934302i	$0.616024\pi$
$80$	7.56114			0.845361
$81$	0.948855	−	1.18983i	0.105428	−	0.132203i
$82$	−3.73374	−	1.79808i	−0.412323	−	0.198564i
$83$	−1.38880	−	6.08471i	−0.152440	−	0.667884i	−0.992172	−	0.124882i	$-0.960145\pi$
$83$	−1.38880	−	6.08471i	−0.152440	−	0.667884i	0.839732	−	0.543002i	$-0.182712\pi$
$84$	−2.37281	+	10.3959i	−0.258895	+	1.13429i
$85$	2.41335			0.261764
$86$	10.2359	−	9.10937i	1.10376	−	0.982288i
$87$	−7.99648			−0.857313
$88$	−0.368914	+	1.61632i	−0.0393264	+	0.172300i
$89$	3.01283	+	13.2001i	0.319359	+	1.39921i	0.838680	+	0.544625i	$0.183328\pi$
$89$	3.01283	+	13.2001i	0.319359	+	1.39921i	−0.519320	+	0.854580i	$0.673815\pi$
$90$	−9.42216	−	4.53747i	−0.993183	−	0.478292i
$91$	−10.4184	+	13.0643i	−1.09215	+	1.36951i
$92$	5.08087			0.529717
$93$	8.74905			0.907234
$94$	16.8196	−	21.0911i	1.73481	−	2.17538i
$95$	−8.27098	+	3.98309i	−0.848585	+	0.408657i
$96$	4.84714	+	6.07812i	0.494709	+	0.620345i
$97$	−14.9976	+	7.22247i	−1.52278	+	0.733330i	−0.993362	−	0.115033i	$-0.963303\pi$
$97$	−14.9976	+	7.22247i	−1.52278	+	0.733330i	−0.529414	+	0.848363i	$0.677588\pi$
$98$	−6.93889	+	30.4013i	−0.700934	+	3.07099i
$99$	−2.80009	+	3.51120i	−0.281420	+	0.352889i
$100$	−0.434020	+	1.90157i	−0.0434020	+	0.190157i
$101$	7.96753	+	3.83696i	0.792799	+	0.381792i	0.786032	−	0.618185i	$-0.212132\pi$
$101$	7.96753	+	3.83696i	0.792799	+	0.381792i	0.00676640	+	0.999977i	$0.497846\pi$
$102$	1.25386	+	1.57229i	0.124150	+	0.155680i
$103$	−1.40528	−	1.76217i	−0.138466	−	0.173631i	0.707763	−	0.706450i	$-0.249704\pi$
$103$	−1.40528	−	1.76217i	−0.138466	−	0.173631i	−0.846230	+	0.532818i	$0.821133\pi$
$104$	−0.607948	−	2.66359i	−0.0596142	−	0.261187i
$105$	9.79805	+	4.71849i	0.956192	+	0.460478i
$106$	−4.41302	+	2.12520i	−0.428631	+	0.206418i
$107$	−2.33727	−	10.2402i	−0.225952	−	0.989962i	−0.952904	−	0.303273i	$-0.901921\pi$
$107$	−2.33727	−	10.2402i	−0.225952	−	0.989962i	0.726951	−	0.686689i	$-0.240937\pi$
$108$	−2.57124	−	11.2653i	−0.247418	−	1.08401i
$109$	2.96612	−	1.42841i	0.284103	−	0.136817i	−0.286406	−	0.958108i	$-0.592460\pi$
$109$	2.96612	−	1.42841i	0.284103	−	0.136817i	0.570508	+	0.821292i	$0.306746\pi$
$110$	9.83947	+	4.73844i	0.938156	+	0.451792i
$111$	−0.959337	−	4.20313i	−0.0910562	−	0.398943i
$112$	9.14635	+	11.4692i	0.864249	+	1.08373i
$113$	−0.0258657	−	0.0324346i	−0.00243324	−	0.00305119i	0.780613	−	0.625014i	$-0.214907\pi$
$113$	−0.0258657	−	0.0324346i	−0.00243324	−	0.00305119i	−0.783047	+	0.621963i	$0.786335\pi$
$114$	−6.89217	−	3.31909i	−0.645511	−	0.310862i
$115$	1.15305	−	5.05183i	0.107522	−	0.471085i
$116$	12.2589	−	15.3722i	1.13821	−	1.42727i
$117$	1.64685	−	7.21533i	0.152251	−	0.667057i
$118$	−0.0504570	+	0.0242988i	−0.00464494	+	0.00223689i
$119$	2.91931	+	3.66070i	0.267613	+	0.335576i
$120$	−1.60200	+	0.771481i	−0.146242	+	0.0704262i
$121$	−3.93428	+	4.93343i	−0.357662	+	0.448494i
$122$	21.3879			1.93637
$123$	−1.90868			−0.172100
$124$	−13.4126	+	16.8189i	−1.20449	+	1.51038i
$125$	−9.07955	−	4.37248i	−0.812100	−	0.391087i
$126$	−4.51485	−	19.7808i	−0.402214	−	1.76222i
$127$	0.0272232	−	0.119273i	0.00241567	−	0.0105837i	−0.973706	−	0.227810i	$-0.926844\pi$
$127$	0.0272232	−	0.119273i	0.00241567	−	0.0105837i	0.976121	+	0.217226i	$0.0697008\pi$
$128$	−6.02164			−0.532242
$129$	2.42713	−	5.82553i	0.213697	−	0.512910i
$130$	−17.9971			−1.57845
$131$	3.51802	−	15.4135i	0.307371	−	1.34668i	−0.551366	−	0.834263i	$-0.685893\pi$
$131$	3.51802	−	15.4135i	0.307371	−	1.34668i	0.858737	−	0.512417i	$-0.171250\pi$
$132$	1.09747	+	4.80834i	0.0955227	+	0.418512i
$133$	−16.0468	−	7.72773i	−1.39143	−	0.670079i
$134$	1.61784	−	2.02871i	0.139760	−	0.175254i
$135$	−11.7845			−1.01425
$136$	−0.765549			−0.0656453
$137$	0.782184	−	0.980828i	0.0668265	−	0.0837978i	−0.747295	−	0.664493i	$-0.768648\pi$
$137$	0.782184	−	0.980828i	0.0668265	−	0.0837978i	0.814121	+	0.580695i	$0.197219\pi$
$138$	3.89032	−	1.87348i	0.331166	−	0.159481i
$139$	12.8222	+	16.0785i	1.08756	+	1.36376i	0.926273	+	0.376853i	$0.122994\pi$
$139$	12.8222	+	16.0785i	1.08756	+	1.36376i	0.161289	+	0.986907i	$0.448435\pi$
$140$	−24.0914	+	11.6018i	−2.03610	+	0.980532i
$141$	2.76475	−	12.1132i	0.232834	−	1.02011i
$142$	5.65796	−	7.09486i	0.474805	−	0.595387i
$143$	−1.71979	+	7.53489i	−0.143816	+	0.630099i
$144$	−5.85380	−	2.81904i	−0.487817	−	0.234920i
$145$	−12.5023	−	15.6774i	−1.03826	−	1.30193i
$146$	−2.58344	−	3.23953i	−0.213807	−	0.268105i
$147$	3.19587	+	14.0020i	0.263591	+	1.15487i
$148$	9.55064	+	4.59935i	0.785058	+	0.378064i
$149$	−12.7883	+	6.15852i	−1.04766	+	0.504525i	−0.876843	−	0.480778i	$-0.840354\pi$
$149$	−12.7883	+	6.15852i	−1.04766	+	0.504525i	−0.170815	+	0.985303i	$0.554640\pi$
$150$	0.368848	+	1.61603i	0.0301163	+	0.131948i
$151$	−0.734688	−	3.21888i	−0.0597881	−	0.261949i	0.936196	−	0.351478i	$-0.114321\pi$
$151$	−0.734688	−	3.21888i	−0.0597881	−	0.261949i	−0.995984	+	0.0895294i	$0.971464\pi$
$152$	2.62367	−	1.26349i	0.212808	−	0.102483i
$153$	−1.86840	−	0.899776i	−0.151052	−	0.0727426i
$154$	4.71481	+	20.6569i	0.379930	+	1.66458i
$155$	13.6789	+	17.1528i	1.09872	+	1.37775i
$156$	−5.06748	−	6.35442i	−0.405723	−	0.508761i
$157$	−6.88622	−	3.31623i	−0.549580	−	0.264664i	0.138421	−	0.990373i	$-0.455797\pi$
$157$	−6.88622	−	3.31623i	−0.549580	−	0.264664i	−0.688001	+	0.725710i	$0.741512\pi$
$158$	2.94654	−	12.9096i	0.234414	−	1.02703i
$159$	−1.40655	+	1.76376i	−0.111547	+	0.139875i
$160$	−4.33798	+	19.0059i	−0.342947	+	1.50255i
$161$	9.05768	−	4.36195i	0.713845	−	0.343770i
$162$	1.98271	+	2.48624i	0.155777	+	0.195338i
$163$	−10.6326	+	5.12038i	−0.832808	+	0.401059i	−0.801168	−	0.598440i	$-0.795787\pi$
$163$	−10.6326	+	5.12038i	−0.832808	+	0.401059i	−0.0316405	+	0.999499i	$0.510073\pi$
$164$	2.92608	−	3.66918i	0.228488	−	0.286515i
$165$	5.02992			0.391579
$166$	13.0415			1.01222
$167$	−15.5461	+	19.4942i	−1.20299	+	1.50851i	−0.395674	+	0.918391i	$0.629489\pi$
$167$	−15.5461	+	19.4942i	−1.20299	+	1.50851i	−0.807320	+	0.590115i	$0.799083\pi$
$168$	−3.10808	−	1.49677i	−0.239794	−	0.115479i
$169$	0.0586680	+	0.257041i	0.00451292	+	0.0197724i
$170$	−1.12215	+	4.91646i	−0.0860649	+	0.377075i
$171$	7.88839			0.603240
$172$	7.47793	+	13.5966i	0.570187	+	1.03673i
$173$	17.7648			1.35063			0.675317	−	0.737527i	$-0.264007\pi$
$173$	17.7648			1.35063			0.675317	+	0.737527i	$0.264007\pi$
$174$	3.71818	−	16.2904i	0.281874	−	1.23497i
$175$	0.858775	+	3.76254i	0.0649173	+	0.284421i
$176$	6.11306	+	2.94390i	0.460790	+	0.221905i
$177$	−0.0160820	+	0.0201662i	−0.00120880	+	0.00151578i
$178$	−28.2920			−2.12058
$179$	−26.7016			−1.99577			−0.997885	−	0.0650056i	$-0.979293\pi$
$179$	−26.7016			−1.99577			−0.997885	+	0.0650056i	$0.979293\pi$
$180$	7.38400	−	9.25925i	0.550371	−	0.690143i
$181$	−2.07237	+	0.997999i	−0.154038	+	0.0741807i	−0.509314	−	0.860581i	$-0.670101\pi$
$181$	−2.07237	+	0.997999i	−0.154038	+	0.0741807i	0.355277	+	0.934761i	$0.384387\pi$
$182$	−21.7702	−	27.2990i	−1.61372	−	2.02354i
$183$	8.87516	−	4.27405i	0.656071	−	0.315947i
$184$	−0.365763	+	1.60251i	−0.0269644	+	0.118139i
$185$	6.74047	−	8.45229i	0.495569	−	0.621424i
$186$	−4.06810	+	17.8235i	−0.298288	+	1.30688i
$187$	1.95115	+	0.939627i	0.142683	+	0.0687123i
$188$	19.0475	+	23.8848i	1.38918	+	1.74198i
$189$	−14.2551	−	17.8753i	−1.03691	−	1.30024i
$190$	−4.26853	−	18.7016i	−0.309671	−	1.35676i
$191$	−6.48124	−	3.12120i	−0.468966	−	0.225842i	0.184449	−	0.982842i	$-0.440950\pi$
$191$	−6.48124	−	3.12120i	−0.468966	−	0.225842i	−0.653415	+	0.757000i	$0.726664\pi$
$192$	−9.20278	+	4.43182i	−0.664153	+	0.319839i
$193$	−1.37365	−	6.01834i	−0.0988772	−	0.433209i	0.901123	−	0.433564i	$-0.142744\pi$
$193$	−1.37365	−	6.01834i	−0.0988772	−	0.433209i	−1.00000		0.000354777i	$0.999887\pi$
$194$	−7.74004	−	33.9113i	−0.555702	−	2.43469i
$195$	−7.46812	+	3.59646i	−0.534803	+	0.257548i
$196$	−31.8164	−	15.3220i	−2.27260	−	1.09443i
$197$	−2.64525	−	11.5896i	−0.188466	−	0.825724i	−0.977426	−	0.211279i	$-0.932237\pi$
$197$	−2.64525	−	11.5896i	−0.188466	−	0.825724i	0.788960	−	0.614445i	$-0.210620\pi$
$198$	−5.85103	−	7.33696i	−0.415815	−	0.521415i
$199$	−14.0912	−	17.6698i	−0.998896	−	1.25258i	−0.967448	−	0.253071i	$-0.918559\pi$
$199$	−14.0912	−	17.6698i	−0.998896	−	1.25258i	−0.0314484	−	0.999505i	$-0.510012\pi$
$200$	−0.568513	−	0.273781i	−0.0401999	−	0.0193593i
$201$	0.265935	−	1.16514i	0.0187576	−	0.0821826i
$202$	−11.5213	+	14.4473i	−0.810639	+	1.01651i
$203$	8.65689	−	37.9283i	0.607595	−	2.66205i
$204$	−2.05187	+	0.988130i	−0.143660	+	0.0691829i
$205$	−2.98417	−	3.74204i	−0.208424	−	0.261355i
$206$	4.24330	−	2.04346i	0.295645	−	0.142375i
$207$	−2.77617	+	3.48121i	−0.192957	+	0.241961i
$208$	−11.1812			−0.775279
$209$	−8.23776			−0.569818
$210$	−14.1684	+	17.7665i	−0.977709	+	1.22601i
$211$	6.00358	+	2.89117i	0.413303	+	0.199036i	0.628968	−	0.777431i	$-0.283478\pi$
$211$	6.00358	+	2.89117i	0.413303	+	0.199036i	−0.215665	+	0.976467i	$0.569192\pi$
$212$	−1.23429	−	5.40780i	−0.0847717	−	0.371409i
$213$	0.930037	−	4.07476i	0.0637251	−	0.279198i
$214$	21.9481			1.50034
$215$	15.2159	−	4.34960i	1.03772	−	0.296640i
$216$	3.73820			0.254352
$217$	−9.47161	+	41.4978i	−0.642975	+	2.81706i
$218$	1.53077	+	6.70674i	0.103677	+	0.454238i
$219$	−1.71940	−	0.828020i	−0.116186	−	0.0559524i
$220$	−7.71104	+	9.66933i	−0.519878	+	0.651906i
$221$	−3.56880			−0.240064
$222$	9.00866			0.604622
$223$	−1.21580	+	1.52456i	−0.0814158	+	0.102092i	−0.820871	−	0.571113i	$-0.806512\pi$
$223$	−1.21580	+	1.52456i	−0.0814158	+	0.102092i	0.739455	+	0.673206i	$0.235083\pi$
$224$	−34.0767	+	16.4105i	−2.27685	+	1.09647i
$225$	−1.06573	−	1.33639i	−0.0710488	−	0.0890923i
$226$	0.0781025	−	0.0376122i	0.00519530	−	0.00250192i
$227$	−2.76951	+	12.1340i	−0.183819	+	0.805363i	0.795971	+	0.605334i	$0.206961\pi$
$227$	−2.76951	+	12.1340i	−0.183819	+	0.805363i	−0.979790	+	0.200028i	$0.935897\pi$
$228$	5.40129	−	6.77300i	0.357709	−	0.448553i
$229$	−6.20517	+	27.1866i	−0.410049	+	1.79654i	0.173911	+	0.984761i	$0.444359\pi$
$229$	−6.20517	+	27.1866i	−0.410049	+	1.79654i	−0.583961	+	0.811782i	$0.698498\pi$
$230$	9.75542	+	4.69796i	0.643253	+	0.309774i
$231$	6.08445	+	7.62966i	0.400327	+	0.501995i
$232$	3.96590	+	4.97309i	0.260374	+	0.326499i
$233$	−4.00931	−	17.5659i	−0.262659	−	1.15078i	−0.918355	−	0.395758i	$-0.870482\pi$
$233$	−4.00931	−	17.5659i	−0.262659	−	1.15078i	0.655696	−	0.755025i	$-0.272375\pi$
$234$	13.9333	+	6.70991i	0.910847	+	0.438641i
$235$	28.0709	−	13.5182i	1.83114	−	0.881832i
$236$	−0.0141125	−	0.0618309i	−0.000918646	−	0.00402485i
$237$	−1.35710	−	5.94583i	−0.0881529	−	0.386223i
$238$	−8.81497	+	4.24507i	−0.571390	+	0.275167i
$239$	11.1191	+	5.35470i	0.719238	+	0.346367i	0.757441	−	0.652903i	$-0.226449\pi$
$239$	11.1191	+	5.35470i	0.719238	+	0.346367i	−0.0382034	+	0.999270i	$0.512163\pi$
$240$	1.61926	+	7.09445i	0.104523	+	0.457945i
$241$	−6.71267	−	8.41743i	−0.432401	−	0.542214i	0.517122	−	0.855912i	$-0.327004\pi$
$241$	−6.71267	−	8.41743i	−0.432401	−	0.542214i	−0.949523	+	0.313698i	$0.898432\pi$
$242$	−8.22101	−	10.3088i	−0.528467	−	0.662676i
$243$	14.5180	+	6.99149i	0.931329	+	0.448504i
$244$	−5.38964	+	23.6136i	−0.345036	+	1.51170i
$245$	−22.4548	+	28.1574i	−1.43458	+	1.79891i
$246$	0.887492	−	3.88836i	0.0565845	−	0.247913i
$247$	12.2309	−	5.89011i	0.778236	−	0.374778i
$248$	−4.33915	−	5.44112i	−0.275536	−	0.345511i
$249$	5.41173	−	2.60615i	0.342954	−	0.165158i
$250$	13.1294	−	16.4637i	0.830374	−	1.04126i
$251$	1.41671			0.0894220			0.0447110	−	0.999000i	$-0.485763\pi$
$251$	1.41671			0.0894220			0.0447110	+	0.999000i	$0.485763\pi$
$252$	22.9770			1.44742
$253$	2.89913	−	3.63539i	0.182267	−	0.228555i
$254$	0.230323	+	0.110918i	0.0144518	+	0.00695961i
$255$	0.516832	+	2.26439i	0.0323653	+	0.141802i
$256$	−1.92344	+	8.42715i	−0.120215	+	0.526697i
$257$	−14.6641			−0.914719			−0.457359	−	0.889282i	$-0.651205\pi$
$257$	−14.6641			−0.914719			−0.457359	+	0.889282i	$0.651205\pi$
$258$	10.7392	+	7.65327i	0.668593	+	0.476472i
$259$	20.9745			1.30329
$260$	4.53518	−	19.8699i	0.281260	−	1.23228i
$261$	3.83417	+	16.7986i	0.237329	+	1.03981i
$262$	29.7644	+	14.3338i	1.83885	+	0.885544i
$263$	−2.94917	+	3.69814i	−0.181853	+	0.228037i	−0.864400	−	0.502806i	$-0.832301\pi$
$263$	−2.94917	+	3.69814i	−0.181853	+	0.228037i	0.682546	+	0.730842i	$0.260873\pi$
$264$	−1.59556			−0.0982001
$265$	−5.65700			−0.347507
$266$	23.2043	−	29.0972i	1.42274	−	1.78406i
$267$	−11.7401	+	5.65374i	−0.718484	+	0.346004i
$268$	1.83213	+	2.29742i	0.111915	+	0.140337i
$269$	20.6527	−	9.94582i	1.25922	−	0.606408i	0.319250	−	0.947670i	$-0.396569\pi$
$269$	20.6527	−	9.94582i	1.25922	−	0.606408i	0.939968	+	0.341263i	$0.110855\pi$
$270$	5.47950	−	24.0072i	0.333472	−	1.46103i
$271$	−0.919670	+	1.15323i	−0.0558660	+	0.0700537i	−0.808979	−	0.587837i	$-0.799980\pi$
$271$	−0.919670	+	1.15323i	−0.0558660	+	0.0700537i	0.753113	+	0.657891i	$0.228551\pi$
$272$	−0.697169	+	3.05450i	−0.0422721	+	0.185206i
$273$	−14.4891	−	6.97760i	−0.876922	−	0.422303i
$274$	1.63444	+	2.04952i	0.0987401	+	0.123816i
$275$	1.11293	+	1.39557i	0.0671124	+	0.0841562i
$276$	1.08810	+	4.76726i	0.0654957	+	0.286956i
$277$	17.2472	+	8.30581i	1.03628	+	0.499048i	0.873097	−	0.487547i	$-0.162108\pi$
$277$	17.2472	+	8.30581i	1.03628	+	0.499048i	0.163187	+	0.986595i	$0.447823\pi$
$278$	−38.7170	+	18.6451i	−2.32209	+	1.11826i
$279$	−4.19502	−	18.3796i	−0.251149	−	1.10036i
$280$	−1.92493	−	8.43367i	−0.115037	−	0.504008i
$281$	4.17334	−	2.00977i	0.248960	−	0.119893i	−0.305242	−	0.952275i	$-0.598737\pi$
$281$	4.17334	−	2.00977i	0.248960	−	0.119893i	0.554203	+	0.832382i	$0.313023\pi$
$282$	23.3913	+	11.2647i	1.39293	+	0.670802i
$283$	5.78901	+	25.3633i	0.344121	+	1.50769i	0.790284	+	0.612741i	$0.209933\pi$
$283$	5.78901	+	25.3633i	0.344121	+	1.50769i	−0.446163	+	0.894952i	$0.647210\pi$
$284$	6.40739	+	8.03462i	0.380209	+	0.476767i
$285$	−5.50853	−	6.90747i	−0.326297	−	0.409163i
$286$	−14.5504	−	7.00709i	−0.860382	−	0.414338i
$287$	2.06632	−	9.05312i	0.121971	−	0.534389i
$288$	10.4445	−	13.0970i	0.615447	−	0.771747i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	37.7511	−	18.1800i	2.21682	−	1.06756i
$291$	−9.98850	−	12.5252i	−0.585536	−	0.734240i
$292$	4.22766	−	2.03593i	0.247405	−	0.119144i
$293$	−6.78048	+	8.50245i	−0.396120	+	0.496718i	−0.939395	−	0.342836i	$-0.888612\pi$
$293$	−6.78048	+	8.50245i	−0.396120	+	0.496718i	0.543276	+	0.839554i	$0.317184\pi$
$294$	−30.0109			−1.75027
$295$	−0.0646802			−0.00376583
$296$	−2.13818	+	2.68119i	−0.124279	+	0.155841i
$297$	−9.52756	−	4.58823i	−0.552845	−	0.266236i
$298$	−6.59984	−	28.9158i	−0.382319	−	1.67505i
$299$	−1.70510	+	7.47053i	−0.0986084	+	0.432032i
$300$	−1.87715			−0.108377
$301$	25.0037	+	17.8188i	1.44119	+	1.02706i
$302$	6.89910			0.396998
$303$	−1.89384	+	8.29746i	−0.108798	+	0.476677i
$304$	−2.65195	−	11.6190i	−0.152100	−	0.666393i
$305$	22.2555	+	10.7177i	1.27435	+	0.613692i
$306$	2.70178	−	3.38793i	0.154451	−	0.193675i
$307$	6.05168			0.345388			0.172694	−	0.984976i	$-0.444753\pi$
$307$	6.05168			0.345388			0.172694	+	0.984976i	$0.444753\pi$
$308$	−23.9947			−1.36722
$309$	1.35245	−	1.69592i	0.0769383	−	0.0964776i
$310$	−41.3040	+	19.8909i	−2.34591	+	1.12973i
$311$	16.1443	+	20.2444i	0.915462	+	1.14795i	0.988590	+	0.150630i	$0.0481303\pi$
$311$	16.1443	+	20.2444i	0.915462	+	1.14795i	−0.0731285	+	0.997323i	$0.523298\pi$
$312$	2.36899	−	1.14085i	0.134118	−	0.0645878i
$313$	−3.48128	+	15.2525i	−0.196773	+	0.862120i	0.776068	+	0.630649i	$0.217211\pi$
$313$	−3.48128	+	15.2525i	−0.196773	+	0.862120i	−0.972842	+	0.231472i	$0.925646\pi$
$314$	9.95773	−	12.4866i	0.561947	−	0.704659i
$315$	5.21438	−	22.8457i	0.293797	−	1.28721i
$316$	13.5105	+	6.50633i	0.760027	+	0.366010i
$317$	7.71806	+	9.67814i	0.433490	+	0.543579i	0.949814	−	0.312814i	$-0.101272\pi$
$317$	7.71806	+	9.67814i	0.433490	+	0.543579i	−0.516325	+	0.856393i	$0.672700\pi$
$318$	−2.93910	−	3.68552i	−0.164817	−	0.206674i
$319$	−4.00399	−	17.5426i	−0.224180	−	0.982198i
$320$	−23.0770	−	11.1133i	−1.29004	−	0.621253i
$321$	9.10765	−	4.38602i	0.508340	−	0.244803i
$322$	4.67453	+	20.4805i	0.260501	+	1.14133i
$323$	−0.846444	−	3.70851i	−0.0470974	−	0.206347i
$324$	−3.24461	+	1.56252i	−0.180256	+	0.0868067i
$325$	−2.65027	−	1.27630i	−0.147010	−	0.0707965i
$326$	−5.48731	−	24.0415i	−0.303914	−	1.33154i
$327$	1.97546	+	2.47714i	0.109243	+	0.136986i
$328$	0.946623	+	1.18703i	0.0522685	+	0.0655426i
$329$	54.4612	+	26.2271i	3.00254	+	1.44595i
$330$	−2.33879	+	10.2469i	−0.128746	+	0.564074i
$331$	−13.6583	+	17.1270i	−0.750730	+	0.941385i	−0.999632	−	0.0271435i	$-0.991359\pi$
$331$	−13.6583	+	17.1270i	−0.750730	+	0.941385i	0.248902	+	0.968529i	$0.419930\pi$
$332$	−3.28640	+	14.3986i	−0.180364	+	0.790228i
$333$	−8.36974	+	4.03065i	−0.458659	+	0.220878i
$334$	−32.4849	−	40.7348i	−1.77749	−	2.22891i
$335$	2.70008	−	1.30029i	0.147521	−	0.0710423i
$336$	−8.80251	+	11.0380i	−0.480216	+	0.602172i
$337$	21.1314			1.15110			0.575551	−	0.817766i	$-0.304788\pi$
$337$	21.1314			1.15110			0.575551	+	0.817766i	$0.304788\pi$
$338$	−0.550922			−0.0299662
$339$	0.0248934	−	0.0312153i	0.00135202	−	0.00169538i
$340$	−5.14531	−	2.47785i	−0.279043	−	0.134380i
$341$	4.38081	+	19.1936i	0.237234	+	1.03939i
$342$	−3.66791	+	16.0702i	−0.198338	+	0.868976i
$343$	−37.0977			−2.00309
$344$	−4.82670	+	1.37975i	−0.260238	+	0.0743914i
$345$	4.98695			0.268488
$346$	−8.26022	+	36.1904i	−0.444072	+	1.94561i
$347$	4.80797	+	21.0651i	0.258105	+	1.13083i	0.923275	+	0.384141i	$0.125502\pi$
$347$	4.80797	+	21.0651i	0.258105	+	1.13083i	−0.665169	+	0.746693i	$0.731641\pi$
$348$	17.0487	+	8.21020i	0.913904	+	0.440113i
$349$	−18.7444	+	23.5047i	−1.00336	+	1.25818i	−0.0374528	+	0.999298i	$0.511924\pi$
$349$	−18.7444	+	23.5047i	−1.00336	+	1.25818i	−0.965910	+	0.258879i	$0.916647\pi$
$350$	−8.06434			−0.431057
$351$	17.4266			0.930162
$352$	−10.9071	+	13.6770i	−0.581349	+	0.728988i
$353$	4.82756	−	2.32483i	0.256945	−	0.123738i	−0.300978	−	0.953631i	$-0.597313\pi$
$353$	4.82756	−	2.32483i	0.256945	−	0.123738i	0.557923	+	0.829893i	$0.311599\pi$
$354$	−0.0336047	−	0.0421389i	−0.00178607	−	0.00223966i
$355$	9.44278	−	4.54741i	0.501171	−	0.241351i
$356$	7.12945	−	31.2362i	0.377860	−	1.65551i
$357$	−2.80957	+	3.52309i	−0.148698	+	0.186461i
$358$	12.4156	−	54.3963i	0.656185	−	2.87493i
$359$	21.1318	+	10.1765i	1.11529	+	0.537098i	0.898436	−	0.439105i	$-0.144704\pi$
$359$	21.1318	+	10.1765i	1.11529	+	0.537098i	0.216859	+	0.976203i	$0.430419\pi$
$360$	2.38882	+	2.99548i	0.125902	+	0.157876i
$361$	−2.82470	−	3.54206i	−0.148668	−	0.186424i
$362$	−1.06952	−	4.68586i	−0.0562126	−	0.246283i
$363$	−5.47148	−	2.63493i	−0.287178	−	0.138298i
$364$	35.6258	−	17.1565i	1.86730	−	0.899245i
$365$	−1.06488	−	4.66553i	−0.0557382	−	0.244205i
$366$	4.58034	+	20.0678i	0.239418	+	1.04896i
$367$	−26.7759	+	12.8946i	−1.39769	+	0.673092i	−0.972692	−	0.232101i	$-0.925440\pi$
$367$	−26.7759	+	12.8946i	−1.39769	+	0.673092i	−0.424999	+	0.905194i	$0.639726\pi$
$368$	6.06084	+	2.91875i	0.315943	+	0.152150i
$369$	0.915180	+	4.00967i	0.0476424	+	0.208735i
$370$	14.0848	+	17.6618i	0.732233	+	0.918192i
$371$	−6.84300	−	8.58085i	−0.355271	−	0.445496i
$372$	−18.6532	−	8.98289i	−0.967121	−	0.465741i
$373$	4.45300	−	19.5099i	0.230567	−	1.01018i	−0.718603	−	0.695420i	$-0.755218\pi$
$373$	4.45300	−	19.5099i	0.230567	−	1.01018i	0.949171	−	0.314762i	$-0.101925\pi$
$374$	−2.82144	+	3.53798i	−0.145893	+	0.182944i
$375$	2.15816	−	9.45554i	0.111447	−	0.488282i
$376$	−8.90449	+	4.28818i	−0.459214	+	0.221146i
$377$	18.4881	+	23.1833i	0.952185	+	1.19400i
$378$	43.0438	−	20.7288i	2.21393	−	1.06617i
$379$	11.7318	−	14.7112i	0.602621	−	0.755662i	−0.383163	−	0.923681i	$-0.625165\pi$
$379$	11.7318	−	14.7112i	0.602621	−	0.755662i	0.985784	+	0.168018i	$0.0537368\pi$
$380$	21.7234			1.11439
$381$	0.117741			0.00603205
$382$	9.37212	−	11.7523i	0.479519	−	0.601298i
$383$	−14.9230	−	7.18652i	−0.762528	−	0.367214i	0.0118564	−	0.999930i	$-0.496226\pi$
$383$	−14.9230	−	7.18652i	−0.762528	−	0.367214i	−0.774384	+	0.632716i	$0.781940\pi$
$384$	−1.28957	−	5.64997i	−0.0658080	−	0.288324i
$385$	−5.44533	+	23.8575i	−0.277519	+	1.21589i
$386$	12.8992			0.656554
$387$	−13.4018	−	2.30555i	−0.681250	−	0.117198i
$388$	39.3907			1.99976
$389$	2.85204	−	12.4956i	0.144604	−	0.633553i	−0.849727	−	0.527224i	$-0.823233\pi$
$389$	2.85204	−	12.4956i	0.144604	−	0.633553i	0.994331	−	0.106329i	$-0.0339098\pi$
$390$	−3.85418	−	16.8863i	−0.195164	−	0.855070i
$391$	1.93449	+	0.931600i	0.0978312	+	0.0471130i
$392$	7.12298	−	8.93193i	0.359765	−	0.451131i
$393$	15.2155			0.767521
$394$	24.8402			1.25143
$395$	9.53521	−	11.9568i	0.479768	−	0.601611i
$396$	9.57490	−	4.61103i	0.481157	−	0.231713i
$397$	−17.4398	−	21.8688i	−0.875278	−	1.09756i	−0.994504	−	0.104696i	$-0.966613\pi$
$397$	−17.4398	−	21.8688i	−0.875278	−	1.09756i	0.119226	−	0.992867i	$-0.461959\pi$
$398$	42.5488	−	20.4904i	2.13278	−	1.02709i
$399$	3.81424	−	16.7113i	0.190951	−	0.836611i
$400$	−1.61010	+	2.01901i	−0.0805052	+	0.100950i
$401$	−1.04026	+	4.55766i	−0.0519479	+	0.227599i	−0.994237	−	0.107200i	$-0.965811\pi$
$401$	−1.04026	+	4.55766i	−0.0519479	+	0.227599i	0.942289	+	0.334799i	$0.108668\pi$
$402$	2.24996	+	1.08352i	0.112218	+	0.0540413i
$403$	−20.2280	−	25.3652i	−1.00763	−	1.26353i
$404$	−13.0474	−	16.3610i	−0.649134	−	0.813988i
$405$	0.817262	+	3.58066i	0.0406101	+	0.177924i
$406$	73.2421	+	35.2715i	3.63495	+	1.75050i
$407$	8.74043	−	4.20917i	0.433247	−	0.208641i
$408$	−0.163947	−	0.718297i	−0.00811657	−	0.0355610i
$409$	−5.79980	−	25.4106i	−0.286781	−	1.25647i	−0.888914	−	0.458075i	$-0.848539\pi$
$409$	−5.79980	−	25.4106i	−0.286781	−	1.25647i	0.602132	−	0.798396i	$-0.294318\pi$
$410$	9.01082	−	4.33938i	0.445013	−	0.214307i
$411$	1.08780	+	0.523856i	0.0536571	+	0.0258399i
$412$	1.18682	+	5.19981i	0.0584706	+	0.256176i
$413$	−0.0782406	−	0.0981106i	−0.00384997	−	0.00482771i
$414$	−5.80105	−	7.27428i	−0.285106	−	0.357512i
$415$	13.5705	+	6.53523i	0.666152	+	0.320802i
$416$	6.41490	−	28.1055i	0.314517	−	1.37799i
$417$	−12.3402	+	15.4741i	−0.604300	+	0.757768i
$418$	3.83036	−	16.7819i	0.187349	−	0.820831i
$419$	−7.91422	+	3.81129i	−0.386635	+	0.186194i	−0.617096	−	0.786888i	$-0.711691\pi$
$419$	−7.91422	+	3.81129i	−0.386635	+	0.186194i	0.230461	+	0.973082i	$0.425977\pi$
$420$	−16.0450	−	20.1198i	−0.782918	−	0.981748i
$421$	21.8056	−	10.5010i	1.06274	−	0.511789i	0.180981	−	0.983487i	$-0.442073\pi$
$421$	21.8056	−	10.5010i	1.06274	−	0.511789i	0.881760	+	0.471698i	$0.156359\pi$
$422$	−8.68140	+	10.8861i	−0.422604	+	0.529929i
$423$	−26.7724			−1.30172
$424$	1.79448			0.0871478
$425$	−0.513910	+	0.644422i	−0.0249283	+	0.0312591i
$426$	7.86863	+	3.78933i	0.381236	+	0.183594i
$427$	10.6642	+	46.7230i	0.516078	+	2.26109i
$428$	−5.53083	+	24.2321i	−0.267343	+	1.17130i
$429$	−7.43812			−0.359116
$430$	1.78594	+	33.0202i	0.0861257	+	1.59238i
$431$	7.22571			0.348050			0.174025	−	0.984741i	$-0.444323\pi$
$431$	7.22571			0.348050			0.174025	+	0.984741i	$0.444323\pi$
$432$	3.40430	−	14.9152i	0.163790	−	0.717609i
$433$	1.48770	+	6.51803i	0.0714942	+	0.313236i	0.998013	−	0.0630127i	$-0.0200708\pi$
$433$	1.48770	+	6.51803i	0.0714942	+	0.313236i	−0.926519	+	0.376249i	$0.877214\pi$
$434$	−80.1351	−	38.5910i	−3.84661	−	1.85243i
$435$	12.0323	−	15.0880i	0.576904	−	0.723415i
$436$	−7.79042			−0.373093
$437$	−8.16739			−0.390699
$438$	2.48632	−	3.11774i	0.118801	−	0.148972i
$439$	0.802812	−	0.386614i	0.0383161	−	0.0184521i	−0.414628	−	0.909991i	$-0.636088\pi$
$439$	0.802812	−	0.386614i	0.0383161	−	0.0184521i	0.452944	+	0.891539i	$0.350374\pi$
$440$	−2.49462	−	3.12815i	−0.118926	−	0.149129i
$441$	27.8824	−	13.4275i	1.32773	−	0.639403i
$442$	1.65941	−	7.27034i	0.0789300	−	0.345815i
$443$	−22.7974	+	28.5870i	−1.08314	+	1.35821i	−0.154171	+	0.988044i	$0.549271\pi$
$443$	−22.7974	+	28.5870i	−1.08314	+	1.35821i	−0.928966	+	0.370166i	$0.879301\pi$
$444$	−2.27014	+	9.94613i	−0.107736	+	0.472023i
$445$	−29.4397	−	14.1774i	−1.39558	−	0.672074i
$446$	−2.54051	−	3.18570i	−0.120297	−	0.150847i
$447$	−8.51709	−	10.6801i	−0.402844	−	0.505151i
$448$	−11.0579	−	48.4478i	−0.522436	−	2.28894i
$449$	19.2350	+	9.26310i	0.907757	+	0.437153i	0.828685	−	0.559716i	$-0.189090\pi$
$449$	19.2350	+	9.26310i	0.907757	+	0.437153i	0.0790728	+	0.996869i	$0.474804\pi$
$450$	3.21802	−	1.54972i	0.151699	−	0.0730543i
$451$	−0.955713	−	4.18725i	−0.0450028	−	0.197170i
$452$	0.0218448	+	0.0957082i	0.00102749	+	0.00450174i
$453$	2.86287	−	1.37868i	0.134509	−	0.0647762i
$454$	−23.4316	−	11.2841i	−1.09970	−	0.529587i
$455$	−8.97355	−	39.3157i	−0.420687	−	1.84315i
$456$	1.74738	+	2.19115i	0.0818288	+	0.102610i
$457$	9.84087	+	12.3401i	0.460336	+	0.577244i	0.956775	−	0.290828i	$-0.0939307\pi$
$457$	9.84087	+	12.3401i	0.460336	+	0.577244i	−0.496439	+	0.868072i	$0.665359\pi$
$458$	−52.4992	−	25.2823i	−2.45313	−	1.18136i
$459$	1.08658	−	4.76061i	0.0507171	−	0.222206i
$460$	−7.64517	+	9.58674i	−0.356458	+	0.446984i
$461$	3.30242	−	14.4688i	0.153809	−	0.673881i	−0.837948	−	0.545749i	$-0.816245\pi$
$461$	3.30242	−	14.4688i	0.153809	−	0.673881i	0.991757	−	0.128131i	$-0.0408978\pi$
$462$	−18.3722	+	8.84760i	−0.854753	+	0.411627i
$463$	1.15748	+	1.45144i	0.0537928	+	0.0674540i	0.808000	−	0.589182i	$-0.200550\pi$
$463$	1.15748	+	1.45144i	0.0537928	+	0.0674540i	−0.754207	+	0.656636i	$0.771979\pi$
$464$	23.4540	−	11.2949i	1.08882	−	0.524350i
$465$	−13.1647	+	16.5080i	−0.610497	+	0.765539i
$466$	37.6495			1.74408
$467$	24.8723			1.15095			0.575476	−	0.817819i	$-0.304817\pi$
$467$	24.8723			1.15095			0.575476	+	0.817819i	$0.304817\pi$
$468$	−10.9193	+	13.6924i	−0.504744	+	0.632929i
$469$	5.23850	+	2.52273i	0.241892	+	0.116489i
$470$	14.4870	+	63.4715i	0.668234	+	2.92772i
$471$	1.63682	−	7.17137i	0.0754206	−	0.330439i
$472$	0.0205175			0.000944394
$473$	13.9953	+	2.40766i	0.643506	+	0.110704i
$474$	12.7438			0.585343
$475$	0.697679	−	3.05673i	0.0320117	−	0.140252i
$476$	−2.46549	−	10.8020i	−0.113006	−	0.495110i
$477$	4.37963	+	2.10912i	0.200529	+	0.0965698i
$478$	−16.0787	+	20.1621i	−0.735423	+	0.922191i
$479$	−6.89864			−0.315207			−0.157603	−	0.987502i	$-0.550377\pi$
$479$	−6.89864			−0.315207			−0.157603	+	0.987502i	$0.550377\pi$
$480$	−18.7619			−0.856357
$481$	−9.96765	+	12.4990i	−0.454486	+	0.569907i
$482$	20.2692	−	9.76112i	0.923235	−	0.444607i
$483$	6.03248	+	7.56449i	0.274487	+	0.344196i
$484$	13.4533	−	6.47875i	0.611512	−	0.294488i
$485$	8.93929	−	39.1656i	0.405912	−	1.77842i
$486$	−20.9935	+	26.3251i	−0.952287	+	1.19413i
$487$	−3.31421	+	14.5205i	−0.150181	+	0.657986i	0.842650	+	0.538461i	$0.180994\pi$
$487$	−3.31421	+	14.5205i	−0.150181	+	0.657986i	−0.992831	+	0.119525i	$0.961863\pi$
$488$	−7.05976	−	3.39980i	−0.319580	−	0.153902i
$489$	−7.08137	−	8.87976i	−0.320231	−	0.401556i
$490$	−46.9211	−	58.8373i	−2.11968	−	2.65800i
$491$	−8.55107	−	37.4647i	−0.385904	−	1.69076i	−0.678565	−	0.734540i	$-0.737398\pi$
$491$	−8.55107	−	37.4647i	−0.385904	−	1.69076i	0.292661	−	0.956216i	$-0.405459\pi$
$492$	4.06935	+	1.95970i	0.183461	+	0.0883499i
$493$	7.48600	−	3.60507i	0.337152	−	0.162364i
$494$	6.31220	+	27.6555i	0.283999	+	1.24428i
$495$	−2.41176	−	10.5666i	−0.108400	−	0.474933i
$496$	−25.6613	+	12.3578i	−1.15223	+	0.554883i
$497$	18.3202	+	8.82257i	0.821775	+	0.395746i
$498$	2.79291	+	12.2365i	0.125153	+	0.548333i
$499$	9.57664	+	12.0087i	0.428709	+	0.537584i	0.948528	−	0.316692i	$-0.102572\pi$
$499$	9.57664	+	12.0087i	0.428709	+	0.537584i	−0.519819	+	0.854276i	$0.674001\pi$
$500$	14.8684	+	18.6444i	0.664937	+	0.833805i
$501$	−21.6203	−	10.4118i	−0.965922	−	0.465163i
$502$	−0.658737	+	2.88612i	−0.0294009	+	0.128814i
$503$	−23.3765	+	29.3132i	−1.04231	+	1.30701i	−0.0919777	+	0.995761i	$0.529319\pi$
$503$	−23.3765	+	29.3132i	−1.04231	+	1.30701i	−0.950328	+	0.311249i	$0.899253\pi$
$504$	−1.65408	+	7.24699i	−0.0736785	+	0.322806i
$505$	−19.2284	+	9.25992i	−0.855653	+	0.412061i
$506$	6.05797	+	7.59646i	0.269310	+	0.337704i
$507$	−0.228612	+	0.110094i	−0.0101530	+	0.00488943i
$508$	−0.180501	+	0.226341i	−0.00800843	+	0.0100423i
$509$	−2.04729			−0.0907447			−0.0453724	−	0.998970i	$-0.514447\pi$
$509$	−2.04729			−0.0907447			−0.0453724	+	0.998970i	$0.514447\pi$
$510$	−4.85332			−0.214909
$511$	5.78881	−	7.25893i	0.256082	−	0.321116i
$512$	−27.1240	−	13.0622i	−1.19872	−	0.577274i
$513$	4.13322	+	18.1088i	0.182486	+	0.799523i
$514$	6.81844	−	29.8735i	0.300748	−	1.31767i
$515$	5.43943			0.239690
$516$	−11.1559	+	9.92816i	−0.491112	+	0.437063i
$517$	27.9582			1.22960
$518$	−9.75266	+	42.7292i	−0.428507	+	1.87741i
$519$	3.80444	+	16.6683i	0.166996	+	0.731659i
$520$	5.94053	+	2.86081i	0.260509	+	0.125455i
$521$	−7.87592	+	9.87609i	−0.345050	+	0.432679i	−0.923829	−	0.382805i	$-0.874958\pi$
$521$	−7.87592	+	9.87609i	−0.345050	+	0.432679i	0.578779	+	0.815485i	$0.303529\pi$
$522$	−36.0048			−1.57589
$523$	−3.32687			−0.145474			−0.0727369	−	0.997351i	$-0.523173\pi$
$523$	−3.32687			−0.145474			−0.0727369	+	0.997351i	$0.523173\pi$
$524$	−23.3259	+	29.2498i	−1.01900	+	1.27778i
$525$	−3.34640	+	1.61154i	−0.146049	+	0.0703333i
$526$	−6.16253	−	7.72757i	−0.268699	−	0.336938i
$527$	−8.19053	+	3.94435i	−0.356785	+	0.171819i
$528$	−1.45304	+	6.36621i	−0.0632357	+	0.277054i
$529$	−11.4659	+	14.3778i	−0.498517	+	0.625121i
$530$	2.63037	−	11.5244i	0.114256	−	0.500588i
$531$	0.0500752	+	0.0241149i	0.00217308	+	0.00104650i
$532$	26.2778	+	32.9513i	1.13929	+	1.42862i
$533$	4.41293	+	5.53363i	0.191145	+	0.239688i
$534$	−6.05890	−	26.5458i	−0.262194	−	1.14875i
$535$	22.8385	+	10.9984i	0.987394	+	0.475504i
$536$	−0.856503	+	0.412470i	−0.0369953	+	0.0178160i
$537$	−5.71830	−	25.0535i	−0.246763	−	1.08114i
$538$	10.6586	+	46.6982i	0.459523	+	2.01330i
$539$	−29.1173	+	14.0222i	−1.25417	+	0.603977i
$540$	25.1247	+	12.0994i	1.08120	+	0.520676i
$541$	−8.85250	−	38.7853i	−0.380599	−	1.66751i	−0.695607	−	0.718423i	$-0.744864\pi$
$541$	−8.85250	−	38.7853i	−0.380599	−	1.66751i	0.315008	−	0.949089i	$-0.397993\pi$
$542$	−1.92173	−	2.40977i	−0.0825453	−	0.103509i
$543$	−1.38021	−	1.73073i	−0.0592305	−	0.0742727i
$544$	−7.27791	−	3.50486i	−0.312038	−	0.150269i
$545$	−1.76795	+	7.74589i	−0.0757306	+	0.331798i
$546$	20.9518	−	26.2728i	0.896655	−	1.12437i
$547$	0.514059	−	2.25224i	0.0219796	−	0.0962987i	−0.962748	−	0.270399i	$-0.912844\pi$
$547$	0.514059	−	2.25224i	0.0219796	−	0.0962987i	0.984728	+	0.174100i	$0.0557016\pi$
$548$	−2.67467	+	1.28806i	−0.114256	+	0.0550230i
$549$	−13.2342	−	16.5952i	−0.564822	−	0.708264i
$550$	−3.36054	+	1.61835i	−0.143294	+	0.0690067i
$551$	−19.7059	+	24.7104i	−0.839500	+	1.05270i
$552$	−1.58193			−0.0673315
$553$	29.6710			1.26174
$554$	−24.9401	+	31.2739i	−1.05960	+	1.32870i
$555$	9.37411	+	4.51433i	0.397909	+	0.191623i
$556$	−10.8289	−	47.4445i	−0.459248	−	2.01210i
$557$	−1.97752	+	8.66406i	−0.0837900	+	0.367108i	−0.999388	−	0.0349875i	$-0.988861\pi$
$557$	−1.97752	+	8.66406i	−0.0837900	+	0.367108i	0.915598	+	0.402095i	$0.131718\pi$
$558$	39.3934			1.66765
$559$	−22.5009	+	6.43208i	−0.951687	+	0.272048i
$560$	−35.4028			−1.49604
$561$	−0.463780	+	2.03195i	−0.0195808	+	0.0857891i
$562$	2.15380	+	9.43639i	0.0908524	+	0.398050i
$563$	−10.8902	−	5.24446i	−0.458969	−	0.221028i	0.190089	−	0.981767i	$-0.439122\pi$
$563$	−10.8902	−	5.24446i	−0.458969	−	0.221028i	−0.649058	+	0.760739i	$0.724837\pi$
$564$	−18.3314	+	22.9869i	−0.771893	+	0.967923i
$565$	0.100119			0.00421202
$566$	−54.3618			−2.28499
$567$	−4.44274	+	5.57102i	−0.186578	+	0.233961i
$568$	−2.99539	+	1.44250i	−0.125684	+	0.0605261i
$569$	−15.2223	−	19.0881i	−0.638150	−	0.800215i	0.352620	−	0.935767i	$-0.385291\pi$
$569$	−15.2223	−	19.0881i	−0.638150	−	0.800215i	−0.990770	+	0.135551i	$0.956719\pi$
$570$	16.6332	−	8.01013i	0.696688	−	0.335507i
$571$	9.12365	−	39.9733i	0.381813	−	1.67283i	−0.309985	−	0.950741i	$-0.600324\pi$
$571$	9.12365	−	39.9733i	0.381813	−	1.67283i	0.691798	−	0.722091i	$-0.256819\pi$
$572$	11.4029	−	14.2988i	0.476779	−	0.597862i
$573$	1.54056	−	6.74963i	0.0643578	−	0.281970i
$574$	17.4822	+	8.41898i	0.729692	+	0.351401i
$575$	1.10343	+	1.38365i	0.0460160	+	0.0577023i
$576$	13.7227	+	17.2078i	0.571780	+	0.716990i
$577$	9.52694	+	41.7402i	0.396612	+	1.73767i	0.640586	+	0.767887i	$0.278692\pi$
$577$	9.52694	+	41.7402i	0.396612	+	1.73767i	−0.243974	+	0.969782i	$0.578451\pi$
$578$	−1.88265	−	0.906637i	−0.0783079	−	0.0377111i
$579$	5.35270	−	2.57772i	0.222450	−	0.107127i
$580$	10.5587	+	46.2609i	0.438428	+	1.92088i
$581$	6.50263	+	28.4899i	0.269775	+	1.18196i
$582$	30.1607	−	14.5246i	1.25020	−	0.602064i
$583$	−4.57360	−	2.20253i	−0.189419	−	0.0912194i
$584$	0.337794	+	1.47997i	0.0139780	+	0.0612417i
$585$	11.1361	+	13.9642i	0.460421	+	0.577349i
$586$	−14.1684	−	17.7666i	−0.585290	−	0.733931i
$587$	19.2236	+	9.25758i	0.793441	+	0.382101i	0.786278	−	0.617873i	$-0.212005\pi$
$587$	19.2236	+	9.25758i	0.793441	+	0.382101i	0.00716360	+	0.999974i	$0.497720\pi$
$588$	7.56259	−	33.1339i	0.311876	−	1.36642i
$589$	21.5605	−	27.0360i	0.888384	−	1.11400i
$590$	0.0300748	−	0.131766i	0.00123816	−	0.00542473i
$591$	10.3078	−	4.96395i	0.424005	−	0.204190i
$592$	8.75060	+	10.9729i	0.359647	+	0.450984i
$593$	−26.4936	+	12.7586i	−1.08796	+	0.523934i	−0.889853	−	0.456246i	$-0.849194\pi$
$593$	−26.4936	+	12.7586i	−1.08796	+	0.523934i	−0.198107	+	0.980180i	$0.563479\pi$
$594$	13.7772	−	17.2761i	0.565286	−	0.708846i
$595$	−11.2998			−0.463247
$596$	33.5880			1.37582
$597$	13.5614	−	17.0055i	0.555033	−	0.695989i
$598$	−14.4261	−	6.94723i	−0.589926	−	0.284094i
$599$	−4.54410	−	19.9090i	−0.185667	−	0.813460i	−0.978867	−	0.204499i	$-0.934444\pi$
$599$	−4.54410	−	19.9090i	−0.185667	−	0.813460i	0.793200	−	0.608961i	$-0.208414\pi$
$600$	0.135133	−	0.592055i	0.00551677	−	0.0241705i
$601$	7.97035			0.325117			0.162559	−	0.986699i	$-0.448025\pi$
$601$	7.97035			0.325117			0.162559	+	0.986699i	$0.448025\pi$
$602$	−47.9265	+	42.6520i	−1.95334	+	1.73837i
$603$	−2.57518			−0.104869
$604$	−1.73854	+	7.61704i	−0.0707402	+	0.309933i
$605$	−3.38865	−	14.8466i	−0.137768	−	0.603602i
$606$	−16.0230	−	7.71625i	−0.650888	−	0.313451i
$607$	26.3104	−	32.9922i	1.06791	−	1.33911i	0.130275	−	0.991478i	$-0.458414\pi$
$607$	26.3104	−	32.9922i	1.06791	−	1.33911i	0.937630	−	0.347634i	$-0.113015\pi$
$608$	30.7273			1.24616
$609$	37.4412			1.51720
$610$	−32.1823	+	40.3553i	−1.30302	+	1.63394i
$611$	−41.5106	+	19.9904i	−1.67934	+	0.808727i
$612$	3.05965	+	3.83668i	0.123679	+	0.155089i
$613$	−41.9565	+	20.2052i	−1.69461	+	0.816080i	−0.699795	+	0.714343i	$0.746726\pi$
$613$	−41.9565	+	20.2052i	−1.69461	+	0.816080i	−0.994811	+	0.101736i	$0.967560\pi$
$614$	−2.81389	+	12.3284i	−0.113559	+	0.497536i
$615$	2.87199	−	3.60136i	0.115810	−	0.145221i
$616$	1.72734	−	7.56795i	0.0695963	−	0.304921i
$617$	−14.2558	−	6.86524i	−0.573918	−	0.276384i	0.124329	−	0.992241i	$-0.460322\pi$
$617$	−14.2558	−	6.86524i	−0.573918	−	0.276384i	−0.698247	+	0.715857i	$0.746036\pi$
$618$	2.82606	+	3.54377i	0.113681	+	0.142551i
$619$	−7.85386	−	9.84843i	−0.315673	−	0.395842i	0.598528	−	0.801102i	$-0.295752\pi$
$619$	−7.85386	−	9.84843i	−0.315673	−	0.395842i	−0.914202	+	0.405260i	$0.867181\pi$
$620$	−11.5525	−	50.6146i	−0.463958	−	2.03273i
$621$	−9.44617	−	4.54904i	−0.379062	−	0.182547i
$622$	−48.7484	+	23.4760i	−1.95463	+	0.941302i
$623$	−14.1067	−	61.8055i	−0.565174	−	2.47619i
$624$	−2.39453	−	10.4911i	−0.0958577	−	0.419980i
$625$	25.6252	−	12.3405i	1.02501	−	0.493618i
$626$	−29.4535	−	14.1841i	−1.17720	−	0.566909i
$627$	−1.76416	−	7.72931i	−0.0704539	−	0.308679i
$628$	11.2767	+	14.1405i	0.449989	+	0.564268i
$629$	2.79300	+	3.50231i	0.111364	+	0.139646i
$630$	44.1166	+	21.2454i	1.75765	+	0.846438i
$631$	4.33008	−	18.9713i	0.172378	−	0.755236i	−0.812638	−	0.582769i	$-0.801969\pi$
$631$	4.33008	−	18.9713i	0.172378	−	0.755236i	0.985015	−	0.172467i	$-0.0551738\pi$
$632$	−3.02471	+	3.79286i	−0.120316	+	0.150872i
$633$	−1.42702	+	6.25219i	−0.0567190	+	0.248502i
$634$	−23.3050	+	11.2231i	−0.925559	+	0.445726i
$635$	0.184085	+	0.230835i	0.00730518	+	0.00916040i
$636$	4.80968	−	2.31622i	0.190716	−	0.0918442i
$637$	33.2056	−	41.6385i	1.31565	−	1.64978i
$638$	37.5995			1.48858
$639$	−9.00599			−0.356271
$640$	9.06074	−	11.3618i	0.358157	−	0.449115i
$641$	6.49925	+	3.12987i	0.256705	+	0.123623i	0.557811	−	0.829968i	$-0.311641\pi$
$641$	6.49925	+	3.12987i	0.256705	+	0.123623i	−0.301106	+	0.953591i	$0.597356\pi$
$642$	4.70032	+	20.5935i	0.185507	+	0.812759i
$643$	−8.15810	+	35.7430i	−0.321724	+	1.40957i	0.512760	+	0.858532i	$0.328623\pi$
$643$	−8.15810	+	35.7430i	−0.321724	+	1.40957i	−0.834484	+	0.551033i	$0.814234\pi$
$644$	−23.7897			−0.937445
$645$	7.33970	+	13.3453i	0.289001	+	0.525469i
$646$	7.94854			0.312731
$647$	−0.884617	+	3.87576i	−0.0347779	+	0.152372i	−0.989336	−	0.145655i	$-0.953471\pi$
$647$	−0.884617	+	3.87576i	−0.0347779	+	0.152372i	0.954558	+	0.298026i	$0.0963283\pi$
$648$	−0.259247	−	1.13584i	−0.0101842	−	0.0446199i
$649$	−0.0522930	−	0.0251830i	−0.00205268	−	0.000988518i
$650$	3.83239	−	4.80566i	0.150319	−	0.188494i
$651$	−40.9649			−1.60554
$652$	27.9261			1.09367
$653$	8.89367	−	11.1523i	0.348036	−	0.436423i	−0.576744	−	0.816925i	$-0.695677\pi$
$653$	8.89367	−	11.1523i	0.348036	−	0.436423i	0.924780	+	0.380501i	$0.124249\pi$
$654$	−5.96496	+	2.87258i	−0.233249	+	0.112327i
$655$	23.7890	+	29.8305i	0.929515	+	1.16557i
$656$	5.59824	−	2.69597i	0.218575	−	0.105260i
$657$	−0.915041	+	4.00905i	−0.0356991	+	0.156408i
$658$	−78.7530	+	98.7531i	−3.07011	+	3.84980i
$659$	−1.83763	+	8.05119i	−0.0715839	+	0.313630i	−0.998026	−	0.0628087i	$-0.979994\pi$
$659$	−1.83763	+	8.05119i	−0.0715839	+	0.313630i	0.926442	+	0.376438i	$0.122851\pi$
$660$	−10.7239	−	5.16435i	−0.417427	−	0.201022i
$661$	9.60526	+	12.0446i	0.373601	+	0.468481i	0.932717	−	0.360608i	$-0.117431\pi$
$661$	9.60526	+	12.0446i	0.373601	+	0.468481i	−0.559116	+	0.829089i	$0.688859\pi$
$662$	−28.5402	−	35.7883i	−1.10925	−	1.39095i
$663$	−0.764280	−	3.34853i	−0.0296822	−	0.130046i
$664$	−4.30477	−	2.07307i	−0.167058	−	0.0804507i
$665$	38.7265	−	18.6497i	1.50175	−	0.723204i
$666$	−4.31950	−	18.9249i	−0.167377	−	0.733327i
$667$	−3.96979	−	17.3928i	−0.153711	−	0.673451i
$668$	53.1598	−	25.6004i	2.05681	−	0.990510i
$669$	−1.69083	−	0.814262i	−0.0653713	−	0.0314812i
$670$	1.39347	+	6.10518i	0.0538344	+	0.235864i
$671$	13.8203	+	17.3302i	0.533528	+	0.669023i
$672$	−22.6953	−	28.4590i	−0.875491	−	1.09783i
$673$	29.2582	+	14.0900i	1.12782	+	0.543130i	0.902300	−	0.431108i	$-0.141877\pi$
$673$	29.2582	+	14.0900i	1.12782	+	0.543130i	0.225521	+	0.974238i	$0.427592\pi$
$674$	−9.82562	+	43.0488i	−0.378469	+	1.65818i
$675$	2.50944	−	3.14674i	0.0965884	−	0.121118i
$676$	0.138830	−	0.608253i	0.00533961	−	0.0233944i
$677$	34.3719	−	16.5527i	1.32102	−	0.636170i	0.365422	−	0.930842i	$-0.380925\pi$
$677$	34.3719	−	16.5527i	1.32102	−	0.636170i	0.955598	+	0.294672i	$0.0952103\pi$
$678$	0.0520168	+	0.0652270i	0.00199769	+	0.00250503i
$679$	70.2220	−	33.8171i	2.69487	−	1.29778i
$680$	1.15192	−	1.44446i	0.0441741	−	0.0553926i
$681$	−11.9782			−0.459005
$682$	−41.1381			−1.57526
$683$	7.43682	−	9.32548i	0.284562	−	0.356829i	−0.618921	−	0.785453i	$-0.712430\pi$
$683$	7.43682	−	9.32548i	0.284562	−	0.356829i	0.903483	+	0.428624i	$0.141001\pi$
$684$	−16.8182	−	8.09922i	−0.643060	−	0.309681i
$685$	0.673706	+	2.95170i	0.0257410	+	0.112779i
$686$	17.2495	−	75.5752i	0.658591	−	2.88547i
$687$	−26.8375			−1.02391
$688$	1.10957	+	20.5148i	0.0423019	+	0.782119i
$689$	8.36544			0.318698
$690$	−2.31881	+	10.1594i	−0.0882757	+	0.386761i
$691$	−4.15918	−	18.2226i	−0.158223	−	0.693219i	−0.990345	−	0.138626i	$-0.955731\pi$
$691$	−4.15918	−	18.2226i	−0.158223	−	0.693219i	0.832122	−	0.554593i	$-0.187126\pi$
$692$	−37.8750	−	18.2396i	−1.43979	−	0.693367i
$693$	13.1106	−	16.4402i	0.498031	−	0.624512i
$694$	−45.1493			−1.71384
$695$	−49.6309			−1.88261
$696$	−3.81682	+	4.78614i	−0.144676	+	0.181418i
$697$	1.78684	−	0.860495i	0.0676812	−	0.0325936i
$698$	−39.1679	−	49.1150i	−1.48253	−	1.85903i
$699$	15.6231	−	7.52370i	0.590921	−	0.284572i
$700$	2.03217	−	8.90354i	0.0768090	−	0.336522i
$701$	−1.72031	+	2.15720i	−0.0649753	+	0.0814764i	−0.813257	−	0.581905i	$-0.802308\pi$
$701$	−1.72031	+	2.15720i	−0.0649753	+	0.0814764i	0.748282	+	0.663381i	$0.230879\pi$
$702$	−8.10295	+	35.5013i	−0.305826	+	1.33991i
$703$	−15.3525	−	7.39336i	−0.579029	−	0.278846i
$704$	−14.3305	−	17.9699i	−0.540101	−	0.677265i
$705$	18.6954	+	23.4433i	0.704110	+	0.882925i
$706$	2.49143	+	10.9157i	0.0937662	+	0.410816i
$707$	−37.3057	−	17.9655i	−1.40302	−	0.675661i
$708$	0.0549923	−	0.0264829i	0.00206674	−	0.000995288i
$709$	−1.15460	−	5.05865i	−0.0433621	−	0.189982i	0.948608	−	0.316453i	$-0.102492\pi$
$709$	−1.15460	−	5.05865i	−0.0433621	−	0.189982i	−0.991970	+	0.126471i	$0.959635\pi$
$710$	4.87328	+	21.3512i	0.182891	+	0.801297i
$711$	−11.8400	+	5.70184i	−0.444035	+	0.213836i
$712$	9.33870	+	4.49728i	0.349983	+	0.168543i
$713$	4.34339	+	19.0296i	0.162661	+	0.712666i
$714$	−5.87083	−	7.36179i	−0.219710	−	0.275508i
$715$	−11.6293	−	14.5827i	−0.434911	−	0.545361i
$716$	56.9283	+	27.4152i	2.12751	+	1.02456i
$717$	−2.64297	+	11.5796i	−0.0987034	+	0.432448i
$718$	−30.5574	+	38.3178i	−1.14039	+	1.43001i
$719$	−3.58541	+	15.7087i	−0.133713	+	0.585836i	0.863027	+	0.505158i	$0.168566\pi$
$719$	−3.58541	+	15.7087i	−0.133713	+	0.585836i	−0.996740	+	0.0806783i	$0.974291\pi$
$720$	14.1273	−	6.80333i	0.526492	−	0.253545i
$721$	6.57982	+	8.25084i	0.245045	+	0.307277i
$722$	8.52929	−	4.10749i	0.317427	−	0.152865i
$723$	6.46033	−	8.10099i	0.240262	−	0.301279i
$724$	5.44300			0.202287
$725$	6.84853			0.254348
$726$	7.91196	−	9.92129i	0.293641	−	0.368214i
$727$	24.5982	+	11.8459i	0.912298	+	0.439339i	0.830315	−	0.557294i	$-0.188161\pi$
$727$	24.5982	+	11.8459i	0.912298	+	0.439339i	0.0819826	+	0.996634i	$0.473875\pi$
$728$	2.84654	+	12.4715i	0.105500	+	0.462225i
$729$	−2.43492	+	10.6681i	−0.0901824	+	0.395115i
$730$	9.99973			0.370107
$731$	0.354150	+	6.54787i	0.0130987	+	0.242182i
$732$	−23.3103			−0.861574
$733$	8.97366	−	39.3162i	0.331450	−	1.45218i	−0.484876	−	0.874583i	$-0.661135\pi$
$733$	8.97366	−	39.3162i	0.331450	−	1.45218i	0.816325	−	0.577592i	$-0.196008\pi$
$734$	−13.8186	−	60.5434i	−0.510055	−	2.23470i
$735$	−31.2283	−	15.0387i	−1.15187	−	0.554712i
$736$	−10.8139	+	13.5602i	−0.398606	+	0.499836i
$737$	2.68923			0.0990591
$738$	−8.59401			−0.316350
$739$	−9.81115	+	12.3028i	−0.360909	+	0.452566i	−0.928824	−	0.370522i	$-0.879179\pi$
$739$	−9.81115	+	12.3028i	−0.360909	+	0.452566i	0.567915	+	0.823087i	$0.307750\pi$
$740$	−23.0490	+	11.0998i	−0.847299	+	0.408038i
$741$	8.14588	+	10.2146i	0.299246	+	0.375243i
$742$	20.6627	−	9.95063i	0.758552	−	0.365299i
$743$	−2.35680	+	10.3258i	−0.0864627	+	0.378818i	−0.999583	−	0.0288722i	$-0.990808\pi$
$743$	−2.35680	+	10.3258i	−0.0864627	+	0.378818i	0.913120	+	0.407690i	$0.133666\pi$
$744$	4.17603	−	5.23657i	0.153101	−	0.191982i
$745$	7.62243	−	33.3961i	0.279264	−	1.22354i
$746$	37.6748	+	18.1432i	1.37937	+	0.664271i
$747$	−8.06971	−	10.1191i	−0.295255	−	0.370238i
$748$	−3.19516	−	4.00661i	−0.116827	−	0.146496i
$749$	10.9436	+	47.9470i	0.399870	+	1.75195i
$750$	18.2593	+	8.79320i	0.666734	+	0.321082i
$751$	−19.9968	+	9.62994i	−0.729692	+	0.351401i	−0.761563	−	0.648091i	$-0.775568\pi$
$751$	−19.9968	+	9.62994i	−0.729692	+	0.351401i	0.0318708	+	0.999492i	$0.489853\pi$
$752$	9.00046	+	39.4336i	0.328213	+	1.43799i
$753$	0.303397	+	1.32927i	0.0110564	+	0.0484412i
$754$	−55.8255	+	26.8841i	−2.03304	+	0.979062i
$755$	7.17897	+	3.45721i	0.261269	+	0.125821i
$756$	12.0391	+	52.7467i	0.437857	+	1.91838i
$757$	7.90368	+	9.91091i	0.287264	+	0.360218i	0.904435	−	0.426611i	$-0.140293\pi$
$757$	7.90368	+	9.91091i	0.287264	+	0.360218i	−0.617171	+	0.786829i	$0.711721\pi$
$758$	24.5145	+	30.7402i	0.890408	+	1.11654i
$759$	4.03187	+	1.94165i	0.146348	+	0.0704774i
$760$	−1.56383	+	6.85161i	−0.0567263	+	0.248534i
$761$	−8.11031	+	10.1700i	−0.293998	+	0.368662i	−0.906790	−	0.421582i	$-0.861475\pi$
$761$	−8.11031	+	10.1700i	−0.293998	+	0.368662i	0.612792	+	0.790244i	$0.290046\pi$
$762$	−0.0547467	+	0.239861i	−0.00198326	+	0.00868925i
$763$	−13.8880	+	6.68811i	−0.502780	+	0.242126i
$764$	10.6135	+	13.3089i	0.383984	+	0.481500i
$765$	4.50911	−	2.17147i	0.163027	−	0.0785097i
$766$	21.5792	−	27.0594i	0.779687	−	0.977696i
$767$	0.0956476			0.00345363
$768$	−8.31892			−0.300183
$769$	22.2515	−	27.9025i	0.802410	−	1.00619i	−0.197256	−	0.980352i	$-0.563203\pi$
$769$	22.2515	−	27.9025i	0.802410	−	1.00619i	0.999666	−	0.0258381i	$-0.00822545\pi$
$770$	−46.0705	−	22.1864i	−1.66026	−	0.799541i
$771$	−3.14039	−	13.7590i	−0.113098	−	0.495517i
$772$	−3.25055	+	14.2416i	−0.116990	+	0.512565i
$773$	−26.8879			−0.967092			−0.483546	−	0.875319i	$-0.660651\pi$
$773$	−26.8879			−0.967092			−0.483546	+	0.875319i	$0.660651\pi$
$774$	10.9284	−	26.2300i	0.392812	−	0.942817i
$775$	−7.49306			−0.269159
$776$	−2.83567	+	12.4239i	−0.101795	+	0.445992i
$777$	4.49182	+	19.6799i	0.161143	+	0.706014i
$778$	24.1299	+	11.6203i	0.865098	+	0.416609i
$779$	−4.70361	+	5.89814i	−0.168524	+	0.211323i
$780$	19.6148			0.702321
$781$	9.40486			0.336532
$782$	−2.79734	+	3.50776i	−0.100033	+	0.125437i
$783$	−36.5544	+	17.6037i	−1.30635	+	0.629104i
$784$	−29.1512	−	36.5544i	−1.04111	−	1.30551i
$785$	16.6188	−	8.00321i	0.593152	−	0.285647i
$786$	−7.07485	+	30.9970i	−0.252352	+	1.10562i
$787$	25.2911	−	31.7140i	0.901530	−	1.13048i	−0.0893856	−	0.995997i	$-0.528490\pi$
$787$	25.2911	−	31.7140i	0.901530	−	1.13048i	0.990916	−	0.134486i	$-0.0429382\pi$
$788$	−6.25962	+	27.4252i	−0.222990	+	0.976982i
$789$	−4.10146	−	1.97516i	−0.146016	−	0.0703176i
$790$	19.9246	+	24.9847i	0.708886	+	0.888916i
$791$	0.121109	+	0.151866i	0.00430613	+	0.00539972i
$792$	0.765044	+	3.35188i	0.0271847	+	0.119104i
$793$	−32.9109	−	15.8491i	−1.16870	−	0.562816i
$794$	52.6601	−	25.3598i	1.86884	−	0.899984i
$795$	−1.21148	−	5.30784i	−0.0429667	−	0.188250i
$796$	11.9006	+	52.1401i	0.421807	+	1.84806i
$797$	43.0165	−	20.7157i	1.52372	−	0.733787i	0.530249	−	0.847842i	$-0.322098\pi$
$797$	43.0165	−	20.7157i	1.52372	−	0.733787i	0.993474	+	0.114055i	$0.0363840\pi$
$798$	32.2706	+	15.5407i	1.14237	+	0.550135i
$799$	2.87275	+	12.5863i	0.101630	+	0.445272i
$800$	−4.15130	−	5.20556i	−0.146770	−	0.184044i
$801$	17.5063	+	21.9522i	0.618554	+	0.775643i
$802$	−8.80115	−	4.23841i	−0.310779	−	0.149663i
$803$	0.955567	−	4.18661i	0.0337212	−	0.147742i
$804$	−1.76326	+	2.21106i	−0.0621854	+	0.0779780i
$805$	−5.39881	+	23.6537i	−0.190283	+	0.833685i
$806$	61.0793	−	29.4143i	2.15143	−	1.03607i
$807$	13.7548	+	17.2480i	0.484193	+	0.607159i
$808$	6.09953	−	2.93738i	0.214581	−	0.103337i
$809$	−18.6151	+	23.3426i	−0.654471	+	0.820681i	−0.992729	−	0.120372i	$-0.961591\pi$
$809$	−18.6151	+	23.3426i	−0.654471	+	0.820681i	0.338257	+	0.941054i	$0.390163\pi$
$810$	−7.67451			−0.269655
$811$	13.6788			0.480326			0.240163	−	0.970733i	$-0.422799\pi$
$811$	13.6788			0.480326			0.240163	+	0.970733i	$0.422799\pi$
$812$	−57.3987	+	71.9757i	−2.01430	+	2.52585i
$813$	−1.27900	−	0.615935i	−0.0448566	−	0.0216018i
$814$	4.51080	+	19.7631i	0.158104	+	0.692697i
$815$	6.33753	−	27.7665i	0.221994	−	0.972618i
$816$	−3.01527			−0.105556
$817$	−12.0206	−	21.8562i	−0.420548	−	0.764653i
$818$	54.4630			1.90426
$819$	−7.71091	+	33.7837i	−0.269441	+	1.18050i
$820$	2.52027	+	11.0420i	0.0880117	+	0.385604i
$821$	−8.86338	−	4.26838i	−0.309334	−	0.148968i	0.272776	−	0.962078i	$-0.412058\pi$
$821$	−8.86338	−	4.26838i	−0.309334	−	0.148968i	−0.582110	+	0.813110i	$0.697773\pi$
$822$	−1.57300	+	1.97248i	−0.0548646	+	0.0687980i
$823$	−8.82162			−0.307502			−0.153751	−	0.988110i	$-0.549135\pi$
$823$	−8.82162			−0.307502			−0.153751	+	0.988110i	$0.549135\pi$
$824$	−1.72547			−0.0601095
$825$	−1.07109	+	1.34311i	−0.0372907	+	0.0467611i
$826$	0.236250	−	0.113772i	0.00822020	−	0.00395864i
$827$	−25.1703	−	31.5626i	−0.875257	−	1.09754i	−0.994507	−	0.104673i	$-0.966620\pi$
$827$	−25.1703	−	31.5626i	−0.875257	−	1.09754i	0.119250	−	0.992864i	$-0.461951\pi$
$828$	9.49311	−	4.57164i	0.329908	−	0.158876i
$829$	−4.78552	+	20.9667i	−0.166208	+	0.728205i	0.821282	+	0.570523i	$0.193259\pi$
$829$	−4.78552	+	20.9667i	−0.166208	+	0.728205i	−0.987490	+	0.157682i	$0.949598\pi$
$830$	−19.6235	+	24.6071i	−0.681142	+	0.854125i
$831$	−4.09957	+	17.9614i	−0.142213	+	0.623074i
$832$	34.1258	+	16.4341i	1.18310	+	0.569750i
$833$	−9.30441	−	11.6674i	−0.322379	−	0.404250i
$834$	−25.7858	−	32.3344i	−0.892889	−	1.11965i
$835$	−13.3901	−	58.6657i	−0.463382	−	2.03021i
$836$	17.5631	+	8.45793i	0.607432	+	0.292524i
$837$	39.9946	−	19.2604i	1.38242	−	0.665737i
$838$	−4.08441	−	17.8950i	−0.141094	−	0.618171i
$839$	8.30147	+	36.3711i	0.286599	+	1.25567i	0.889159	+	0.457598i	$0.151290\pi$
$839$	8.30147	+	36.3711i	0.286599	+	1.25567i	−0.602561	+	0.798073i	$0.705853\pi$
$840$	7.50089	−	3.61224i	0.258805	−	0.124634i
$841$	−36.0718	−	17.3713i	−1.24386	−	0.599009i
$842$	11.2536	+	49.3050i	0.387823	+	1.69916i
$843$	2.77947	+	3.48534i	0.0957300	+	0.120042i
$844$	−9.83131	−	12.3281i	−0.338408	−	0.424350i
$845$	−0.573271	−	0.276073i	−0.0197211	−	0.00949719i
$846$	12.4485	−	54.5406i	0.427990	−	1.87514i
$847$	18.4211	−	23.0994i	0.632958	−	0.793704i
$848$	1.63420	−	7.15988i	0.0561186	−	0.245871i
$849$	−22.5581	+	10.8634i	−0.774191	+	0.372831i
$850$	−1.07386	−	1.34658i	−0.0368330	−	0.0461871i
$851$	8.66577	−	4.17321i	0.297059	−	0.143056i
$852$	−6.16652	+	7.73257i	−0.211262	+	0.264914i
$853$	22.1004			0.756702			0.378351	−	0.925662i	$-0.376491\pi$
$853$	22.1004			0.756702			0.378351	+	0.925662i	$0.376491\pi$
$854$	−100.143			−3.42681
$855$	−11.8696	+	14.8841i	−0.405933	+	0.509024i
$856$	−7.24470	−	3.48886i	−0.247619	−	0.119247i
$857$	−8.03127	−	35.1873i	−0.274343	−	1.20198i	−0.904829	−	0.425775i	$-0.860002\pi$
$857$	−8.03127	−	35.1873i	−0.274343	−	1.20198i	0.630486	−	0.776200i	$-0.282856\pi$
$858$	3.45855	−	15.1529i	0.118073	−	0.517312i
$859$	−27.6508			−0.943433			−0.471717	−	0.881750i	$-0.656365\pi$
$859$	−27.6508			−0.943433			−0.471717	+	0.881750i	$0.656365\pi$
$860$	−36.9065	−	6.34915i	−1.25850	−	0.216504i
$861$	8.93686			0.304567
$862$	−3.35978	+	14.7202i	−0.114435	+	0.501371i
$863$	−3.84988	−	16.8674i	−0.131052	−	0.574174i	−0.997226	−	0.0744326i	$-0.976285\pi$
$863$	−3.84988	−	16.8674i	−0.131052	−	0.574174i	0.866175	−	0.499742i	$-0.166572\pi$
$864$	35.5383	+	17.1143i	1.20904	+	0.582242i
$865$	−26.7307	+	33.5192i	−0.908871	+	1.13969i
$866$	−13.9702			−0.474728
$867$	−0.962407			−0.0326851
$868$	62.8006	−	78.7495i	2.13159	−	2.67293i
$869$	12.3644	−	5.95438i	0.419433	−	0.201988i
$870$	25.1425	+	31.5277i	0.852410	+	1.06889i
$871$	−3.99281	+	1.92284i	−0.135291	+	0.0651528i
$872$	0.560819	−	2.45711i	0.0189917	−	0.0832082i
$873$	−21.5230	+	26.9890i	−0.728443	+	0.913438i
$874$	3.79764	−	16.6386i	0.128457	−	0.562808i
$875$	42.5124	+	20.4729i	1.43718	+	0.692110i
$876$	2.81565	+	3.53071i	0.0951319	+	0.119292i
$877$	−24.9397	−	31.2734i	−0.842154	−	1.05603i	−0.997672	−	0.0681951i	$-0.978276\pi$
$877$	−24.9397	−	31.2734i	−0.842154	−	1.05603i	0.155518	−	0.987833i	$-0.450295\pi$
$878$	0.414319	+	1.81525i	0.0139826	+	0.0612617i
$879$	−9.42974	−	4.54112i	−0.318057	−	0.153168i
$880$	−14.7529	+	7.10465i	−0.497322	+	0.239498i
$881$	8.89340	+	38.9645i	0.299626	+	1.31275i	0.870686	+	0.491840i	$0.163675\pi$
$881$	8.89340	+	38.9645i	0.299626	+	1.31275i	−0.571059	+	0.820909i	$0.693467\pi$
$882$	14.3897	+	63.0453i	0.484526	+	2.12285i
$883$	26.7610	−	12.8874i	0.900578	−	0.433696i	0.0744803	−	0.997222i	$-0.476270\pi$
$883$	26.7610	−	12.8874i	0.900578	−	0.433696i	0.826098	+	0.563527i	$0.190556\pi$
$884$	7.60876	+	3.66419i	0.255910	+	0.123240i
$885$	−0.0138516	−	0.0606880i	−0.000465618	−	0.00204001i
$886$	−47.6371	−	59.7350i	−1.60040	−	2.00684i
$887$	−13.4480	−	16.8632i	−0.451538	−	0.566211i	0.503005	−	0.864283i	$-0.332228\pi$
$887$	−13.4480	−	16.8632i	−0.451538	−	0.566211i	−0.954543	+	0.298073i	$0.903656\pi$
$888$	−2.97360	−	1.43201i	−0.0997875	−	0.0480551i
$889$	−0.127465	+	0.558460i	−0.00427503	+	0.0187301i
$890$	42.5709	−	53.3823i	1.42698	−	1.78938i
$891$	−0.733371	+	3.21311i	−0.0245688	+	0.107643i
$892$	4.15741	−	2.00210i	0.139200	−	0.0670354i
$893$	−30.6184	−	38.3943i	−1.02461	−	1.28482i
$894$	25.7177	−	12.3850i	0.860127	−	0.414215i
$895$	40.1778	−	50.3814i	1.34300	−	1.68406i
$896$	28.1946			0.941915
$897$	−7.37459			−0.246230
$898$	−27.8146	+	34.8784i	−0.928184	+	1.16391i
$899$	68.0537	+	32.7729i	2.26972	+	1.09304i
$900$	0.900059	+	3.94342i	0.0300020	+	0.131447i
$901$	0.521599	−	2.28528i	0.0173770	−	0.0761336i
$902$	8.97463			0.298823
$903$	−11.3643	+	27.2764i	−0.378181	+	0.907701i
$904$	−0.0317591			−0.00105629
$905$	1.23523	−	5.41189i	0.0410604	−	0.179897i
$906$	1.47748	+	6.47327i	0.0490860	+	0.215060i
$907$	14.4920	+	6.97899i	0.481199	+	0.231733i	0.658726	−	0.752383i	$-0.271095\pi$
$907$	14.4920	+	6.97899i	0.481199	+	0.231733i	−0.177527	+	0.984116i	$0.556810\pi$
$908$	18.3630	−	23.0264i	0.609397	−	0.764159i
$909$	18.3390			0.608265
$910$	84.2662			2.79340
$911$	−15.3884	+	19.2965i	−0.509841	+	0.639321i	−0.968418	−	0.249334i	$-0.919788\pi$
$911$	−15.3884	+	19.2965i	−0.509841	+	0.639321i	0.458576	+	0.888655i	$0.348360\pi$
$912$	10.3339	−	4.97653i	0.342189	−	0.164789i
$913$	8.42711	+	10.5673i	0.278897	+	0.349725i
$914$	−29.7149	+	14.3099i	−0.982881	+	0.473330i
$915$	−5.29002	+	23.1771i	−0.174883	+	0.766211i
$916$	41.1428	−	51.5914i	1.35940	−	1.70463i
$917$	−16.4721	+	72.1691i	−0.543957	+	2.38323i
$918$	9.19305	+	4.42714i	0.303416	+	0.146117i
$919$	−19.0518	−	23.8902i	−0.628461	−	0.788066i	0.361046	−	0.932548i	$-0.382420\pi$
$919$	−19.0518	−	23.8902i	−0.628461	−	0.788066i	−0.989507	+	0.144482i	$0.953848\pi$
$920$	−2.47331	−	3.10143i	−0.0815426	−	0.102251i
$921$	1.29600	+	5.67816i	0.0427047	+	0.187102i
$922$	27.9403	+	13.4553i	0.920164	+	0.443128i
$923$	−13.9638	+	6.72460i	−0.459623	+	0.221343i
$924$	−5.13860	−	22.5137i	−0.169047	−	0.740645i
$925$	0.821617	+	3.59974i	0.0270146	+	0.118359i
$926$	−3.49506	+	1.68313i	−0.114855	+	0.0553112i
$927$	−4.21119	−	2.02800i	−0.138314	−	0.0666083i
$928$	14.9351	+	65.4349i	0.490268	+	2.14801i
$929$	6.06982	+	7.61132i	0.199144	+	0.249719i	0.871369	−	0.490628i	$-0.163233\pi$
$929$	6.06982	+	7.61132i	0.199144	+	0.249719i	−0.672225	+	0.740347i	$0.734661\pi$
$930$	−27.5087	−	34.4948i	−0.902046	−	1.13113i
$931$	51.1442	+	24.6298i	1.67618	+	0.807207i
$932$	−9.48749	+	41.5674i	−0.310773	+	1.36159i
$933$	−15.5374	+	19.4833i	−0.508673	+	0.637856i
$934$	−11.5650	+	50.6697i	−0.378419	+	1.65796i
$935$	−4.70882	+	2.26765i	−0.153995	+	0.0741599i
$936$	−3.53253	−	4.42965i	−0.115464	−	0.144788i
$937$	−5.00601	+	2.41077i	−0.163539	+	0.0787564i	−0.513863	−	0.857872i	$-0.671786\pi$
$937$	−5.00601	+	2.41077i	−0.163539	+	0.0787564i	0.350323	+	0.936629i	$0.386072\pi$
$938$	−7.57507	+	9.49884i	−0.247335	+	0.310148i
$939$	−15.0566			−0.491353
$940$	−73.7272			−2.40472
$941$	−10.1071	+	12.6739i	−0.329481	+	0.413156i	−0.918787	−	0.394754i	$-0.870830\pi$
$941$	−10.1071	+	12.6739i	−0.329481	+	0.413156i	0.589306	+	0.807910i	$0.299401\pi$
$942$	13.8484	+	6.66904i	0.451205	+	0.217289i
$943$	−0.947550	−	4.15149i	−0.0308565	−	0.135191i
$944$	0.0186849	−	0.0818637i	0.000608140	−	0.00266444i
$945$	55.1774			1.79492
$946$	−11.4124	+	27.3917i	−0.371048	+	0.890580i
$947$	−46.5143			−1.51151			−0.755755	−	0.654854i	$-0.772730\pi$
$947$	−46.5143			−1.51151			−0.755755	+	0.654854i	$0.772730\pi$
$948$	−3.21139	+	14.0700i	−0.104301	+	0.456972i
$949$	1.57471	+	6.89927i	0.0511174	+	0.223960i
$950$	5.90275	+	2.84262i	0.191511	+	0.0922266i
$951$	−7.42792	+	9.31432i	−0.240867	+	0.302037i
$952$	3.58446			0.116173
$953$	46.6502			1.51115			0.755574	−	0.655063i	$-0.227358\pi$
$953$	46.6502			1.51115			0.755574	+	0.655063i	$0.227358\pi$
$954$	−6.33310	+	7.94146i	−0.205042	+	0.257114i
$955$	15.6415	−	7.53255i	0.506147	−	0.243747i
$956$	−18.2084	−	22.8327i	−0.588903	−	0.738461i
$957$	15.6024	−	7.51371i	0.504353	−	0.242884i
$958$	3.20771	−	14.0539i	0.103636	−	0.454060i
$959$	−3.66235	+	4.59244i	−0.118263	+	0.148298i
$960$	5.48529	−	24.0326i	0.177037	−	0.775650i
$961$	−46.5284	−	22.4069i	−1.50092	−	0.722803i
$962$	−20.8283	−	26.1178i	−0.671530	−	0.842072i
$963$	−13.5809	−	17.0299i	−0.437638	−	0.548781i
$964$	5.66916	+	24.8382i	0.182591	+	0.799985i
$965$	13.4225	+	6.46394i	0.432086	+	0.208082i
$966$	−18.2153	+	8.77202i	−0.586067	+	0.282235i
$967$	11.4226	+	50.0455i	0.367325	+	1.60936i	0.734096	+	0.679045i	$0.237606\pi$
$967$	11.4226	+	50.0455i	0.367325	+	1.60936i	−0.366771	+	0.930311i	$0.619537\pi$
$968$	1.07493	+	4.70957i	0.0345495	+	0.151371i
$969$	3.29834	−	1.58840i	0.105958	−	0.0510267i
$970$	75.6313	+	36.4221i	2.42838	+	1.16944i
$971$	0.990797	+	4.34097i	0.0317962	+	0.139308i	0.988335	−	0.152298i	$-0.0486674\pi$
$971$	0.990797	+	4.34097i	0.0317962	+	0.139308i	−0.956538	+	0.291606i	$0.905810\pi$
$972$	−23.7743	−	29.8120i	−0.762560	−	0.956220i
$973$	−60.0361	−	75.2829i	−1.92467	−	2.41346i
$974$	−28.0400	−	13.5034i	−0.898461	−	0.432676i
$975$	0.629955	−	2.76001i	0.0201747	−	0.0883912i
$976$	−19.9942	+	25.0719i	−0.639999	+	0.802533i
$977$	10.1247	−	44.3591i	0.323917	−	1.41917i	−0.506601	−	0.862180i	$-0.669098\pi$
$977$	10.1247	−	44.3591i	0.323917	−	1.41917i	0.830518	−	0.556992i	$-0.188044\pi$
$978$	21.3825	−	10.2972i	0.683736	−	0.329270i
$979$	−18.2816	−	22.9245i	−0.584284	−	0.732669i
$980$	76.7840	−	36.9772i	2.45277	−	1.18119i
$981$	4.25666	−	5.33769i	0.135905	−	0.170419i
$982$	80.2989			2.56244
$983$	−3.90518			−0.124556			−0.0622780	−	0.998059i	$-0.519837\pi$
$983$	−3.90518			−0.124556			−0.0622780	+	0.998059i	$0.519837\pi$
$984$	−0.911037	+	1.14240i	−0.0290428	+	0.0364185i
$985$	25.8479	+	12.4477i	0.823582	+	0.396616i
$986$	3.86341	+	16.9267i	0.123036	+	0.539056i
$987$	−12.9452	+	56.7165i	−0.412049	+	1.80530i
$988$	−32.1241			−1.02200
$989$	13.8758	+	2.38710i	0.441224	+	0.0759053i
$990$	22.6476			0.719789
$991$	13.5742	−	59.4725i	0.431199	−	1.88921i	−0.0256659	−	0.999671i	$-0.508171\pi$
$991$	13.5742	−	59.4725i	0.431199	−	1.88921i	0.456865	−	0.889536i	$-0.348972\pi$
$992$	−16.3407	−	71.5931i	−0.518817	−	2.27308i
$993$	−18.9949	−	9.14746i	−0.602785	−	0.290286i
$994$	−26.4918	+	33.2196i	−0.840268	+	1.05366i
$995$	54.5428			1.72912
$996$	−14.2137			−0.450379
$997$	16.5203	−	20.7158i	0.523204	−	0.656077i	−0.448082	−	0.893993i	$-0.647893\pi$
$997$	16.5203	−	20.7158i	0.523204	−	0.656077i	0.971286	+	0.237915i	$0.0764641\pi$
$998$	−28.9170	+	13.9257i	−0.915352	+	0.440810i
$999$	−13.6383	−	17.1019i	−0.431497	−	0.541080i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.b.35.5	✓	180
43.16	even	7	inner	731.2.k.b.188.5	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.b.35.5	✓	180	1.1	even	1	trivial
731.2.k.b.188.5	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)

\(f(q)\)	\(=\)	\(q+(-0.464976 + 2.03719i) q^{2} +(0.214156 + 0.938278i) q^{3} +(-2.13202 - 1.02673i) q^{4} +(-1.50470 + 1.88683i) q^{5} -2.01103 q^{6} -4.68221 q^{7} +(0.477312 - 0.598530i) q^{8} +(1.86840 - 0.899776i) q^{9} +O(q^{10})\)	\(q+(-0.464976 + 2.03719i) q^{2} +(0.214156 + 0.938278i) q^{3} +(-2.13202 - 1.02673i) q^{4} +(-1.50470 + 1.88683i) q^{5} -2.01103 q^{6} -4.68221 q^{7} +(0.477312 - 0.598530i) q^{8} +(1.86840 - 0.899776i) q^{9} +(-3.14419 - 3.94269i) q^{10} +(-1.95115 + 0.939627i) q^{11} +(0.506771 - 2.22031i) q^{12} +(2.22511 - 2.79020i) q^{13} +(2.17712 - 9.53858i) q^{14} +(-2.09261 - 1.00775i) q^{15} +(-1.95342 - 2.44952i) q^{16} +(-0.623490 - 0.781831i) q^{17} +(0.964255 + 4.22468i) q^{18} +(3.42718 + 1.65044i) q^{19} +(5.14531 - 2.47785i) q^{20} +(-1.00272 - 4.39322i) q^{21} +(-1.00696 - 4.41179i) q^{22} +(-1.93449 + 0.931600i) q^{23} +(0.663807 + 0.319672i) q^{24} +(-0.183412 - 0.803582i) q^{25} +(4.64956 + 5.83036i) q^{26} +(3.04452 + 3.81771i) q^{27} +(9.98257 + 4.80735i) q^{28} +(-1.84889 + 8.10051i) q^{29} +(3.02599 - 3.79448i) q^{30} +(2.02289 - 8.86287i) q^{31} +(7.27791 - 3.50486i) q^{32} +(-1.29948 - 1.62950i) q^{33} +(1.88265 - 0.906637i) q^{34} +(7.04531 - 8.83454i) q^{35} -4.90730 q^{36} -4.47962 q^{37} +(-4.95583 + 6.21442i) q^{38} +(3.09451 + 1.49024i) q^{39} +(0.411115 + 1.80121i) q^{40} +(-0.441312 + 1.93351i) q^{41} +9.41608 q^{42} +(-5.34014 - 3.80564i) q^{43} +5.12464 q^{44} +(-1.11366 + 4.87925i) q^{45} +(-0.998360 - 4.37410i) q^{46} +(-11.6315 - 5.60144i) q^{47} +(1.87999 - 2.35743i) q^{48} +14.9231 q^{49} +1.72233 q^{50} +(0.600051 - 0.752440i) q^{51} +(-7.60876 + 3.66419i) q^{52} +(1.46149 + 1.83265i) q^{53} +(-9.19305 + 4.42714i) q^{54} +(1.16298 - 5.09535i) q^{55} +(-2.23488 + 2.80245i) q^{56} +(-0.814624 + 3.56910i) q^{57} +(-15.6426 - 7.53309i) q^{58} +(0.0167102 + 0.0209539i) q^{59} +(3.42681 + 4.29708i) q^{60} +(-2.27760 - 9.97884i) q^{61} +(17.1148 + 8.24205i) q^{62} +(-8.74826 + 4.21294i) q^{63} +(2.36168 + 10.3472i) q^{64} +(1.91652 + 8.39682i) q^{65} +(3.92383 - 1.88962i) q^{66} +(-1.11881 - 0.538790i) q^{67} +(0.526566 + 2.30703i) q^{68} +(-1.28838 - 1.61558i) q^{69} +(14.7218 + 18.4605i) q^{70} +(-3.91273 - 1.88427i) q^{71} +(0.353268 - 1.54777i) q^{72} +(-1.23634 + 1.55032i) q^{73} +(2.08292 - 9.12586i) q^{74} +(0.714704 - 0.344183i) q^{75} +(-5.61227 - 7.03756i) q^{76} +(9.13572 - 4.39953i) q^{77} +(-4.47477 + 5.61118i) q^{78} -6.33696 q^{79} +7.56114 q^{80} +(0.948855 - 1.18983i) q^{81} +(-3.73374 - 1.79808i) q^{82} +(-1.38880 - 6.08471i) q^{83} +(-2.37281 + 10.3959i) q^{84} +2.41335 q^{85} +(10.2359 - 9.10937i) q^{86} -7.99648 q^{87} +(-0.368914 + 1.61632i) q^{88} +(3.01283 + 13.2001i) q^{89} +(-9.42216 - 4.53747i) q^{90} +(-10.4184 + 13.0643i) q^{91} +5.08087 q^{92} +8.74905 q^{93} +(16.8196 - 21.0911i) q^{94} +(-8.27098 + 3.98309i) q^{95} +(4.84714 + 6.07812i) q^{96} +(-14.9976 + 7.22247i) q^{97} +(-6.93889 + 30.4013i) q^{98} +(-2.80009 + 3.51120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * q^99

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