LMFDB - Embedded newform 108.3.j.a.31.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [108,3,Mod(7,108)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(108, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 16]))

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

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

chi := DirichletCharacter("108.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 108 = 2^{2} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	108.j (of order $18$, 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:	$2.94278685509$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$34$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			31.7
Character	$\chi$	$=$	108.31
Dual form			108.3.j.a.7.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.76993 - 0.931310i) q^{2} +(-0.0189322 + 2.99994i) q^{3} +(2.26532 + 3.29671i) q^{4} +(-1.07944 + 6.12179i) q^{5} +(2.82738 - 5.29206i) q^{6} +(-6.40210 - 7.62973i) q^{7} +(-0.939205 - 7.94468i) q^{8} +(-8.99928 - 0.113591i) q^{9} +O(q^{10})$	\(q+(-1.76993 - 0.931310i) q^{2} +(-0.0189322 + 2.99994i) q^{3} +(2.26532 + 3.29671i) q^{4} +(-1.07944 + 6.12179i) q^{5} +(2.82738 - 5.29206i) q^{6} +(-6.40210 - 7.62973i) q^{7} +(-0.939205 - 7.94468i) q^{8} +(-8.99928 - 0.113591i) q^{9} +(7.61182 - 9.82987i) q^{10} +(-12.4562 + 2.19637i) q^{11} +(-9.93283 + 6.73342i) q^{12} +(12.1504 - 4.42239i) q^{13} +(4.22565 + 19.4665i) q^{14} +(-18.3446 - 3.35415i) q^{15} +(-5.73663 + 14.9362i) q^{16} +(-9.19757 + 15.9307i) q^{17} +(15.8223 + 8.58217i) q^{18} +(-4.75708 + 2.74650i) q^{19} +(-22.6271 + 10.3092i) q^{20} +(23.0099 - 19.0615i) q^{21} +(24.0922 + 7.71319i) q^{22} +(-6.65021 + 7.92541i) q^{23} +(23.8513 - 2.66715i) q^{24} +(-12.8188 - 4.66567i) q^{25} +(-25.6240 - 3.48848i) q^{26} +(0.511142 - 26.9952i) q^{27} +(10.6502 - 38.3897i) q^{28} +(9.36615 + 3.40900i) q^{29} +(29.3449 + 23.0211i) q^{30} +(-20.5079 + 24.4404i) q^{31} +(24.0637 - 21.0935i) q^{32} +(-6.35316 - 37.4096i) q^{33} +(31.1155 - 19.6304i) q^{34} +(53.6183 - 30.9565i) q^{35} +(-20.0118 - 29.9254i) q^{36} +(-28.6614 + 49.6430i) q^{37} +(10.9776 - 0.430805i) q^{38} +(13.0369 + 36.5343i) q^{39} +(49.6495 + 2.82616i) q^{40} +(-8.81153 + 3.20713i) q^{41} +(-58.4782 + 12.3081i) q^{42} +(65.6751 - 11.5803i) q^{43} +(-35.4582 - 36.0892i) q^{44} +(10.4095 - 54.9691i) q^{45} +(19.1514 - 7.83404i) q^{46} +(19.6132 + 23.3740i) q^{47} +(-44.6992 - 17.4923i) q^{48} +(-8.71709 + 49.4371i) q^{49} +(18.3433 + 20.1962i) q^{50} +(-47.6169 - 27.8938i) q^{51} +(42.1040 + 30.0383i) q^{52} +59.3574 q^{53} +(-26.0456 + 47.3036i) q^{54} -78.6253i q^{55} +(-54.6029 + 58.0285i) q^{56} +(-8.14928 - 14.3230i) q^{57} +(-13.4026 - 14.7565i) q^{58} +(-102.326 - 18.0429i) q^{59} +(-30.4987 - 68.0750i) q^{60} +(-24.2267 + 20.3286i) q^{61} +(59.0592 - 24.1586i) q^{62} +(56.7477 + 69.3893i) q^{63} +(-62.2358 + 14.9234i) q^{64} +(13.9573 + 79.1560i) q^{65} +(-23.5952 + 72.1291i) q^{66} +(33.8532 + 93.0109i) q^{67} +(-73.3543 + 5.76633i) q^{68} +(-23.6499 - 20.1003i) q^{69} +(-123.731 + 4.85571i) q^{70} +(72.6010 + 41.9162i) q^{71} +(7.54973 + 71.6031i) q^{72} +(-45.9238 - 79.5424i) q^{73} +(96.9618 - 61.1721i) q^{74} +(14.2394 - 38.3674i) q^{75} +(-19.8308 - 9.46102i) q^{76} +(96.5038 + 80.9763i) q^{77} +(10.9503 - 76.8045i) q^{78} +(-25.9142 + 71.1988i) q^{79} +(-85.2442 - 51.2412i) q^{80} +(80.9742 + 2.04447i) q^{81} +(18.5827 + 2.52986i) q^{82} +(9.07369 - 24.9298i) q^{83} +(114.965 + 32.6768i) q^{84} +(-87.5960 - 73.5018i) q^{85} +(-127.025 - 40.6675i) q^{86} +(-10.4041 + 28.0334i) q^{87} +(29.1484 + 96.8979i) q^{88} +(-53.2910 - 92.3027i) q^{89} +(-69.6175 + 87.5971i) q^{90} +(-111.530 - 64.3918i) q^{91} +(-41.1927 - 3.97022i) q^{92} +(-72.9314 - 61.9852i) q^{93} +(-12.9455 - 59.6364i) q^{94} +(-11.6785 - 32.0865i) q^{95} +(62.8238 + 72.5891i) q^{96} +(0.0639800 + 0.362849i) q^{97} +(61.4699 - 79.3820i) q^{98} +(112.347 - 18.3508i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

$n$	$29$	$55$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$-1$

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 $

$2$	−1.76993	−	0.931310i	−0.884966	−	0.465655i
$2$	−1.76993	−	0.931310i	−0.884966	−	0.465655i
$3$	−0.0189322	+	2.99994i	−0.00631073	+	0.999980i
$3$	−0.0189322	+	2.99994i	−0.00631073	+	0.999980i
$4$	2.26532	+	3.29671i	0.566331	+	0.824178i
$5$	−1.07944	+	6.12179i	−0.215887	+	1.22436i	0.663473	+	0.748201i	$0.269082\pi$
$5$	−1.07944	+	6.12179i	−0.215887	+	1.22436i	−0.879360	+	0.476158i	$0.842029\pi$
$6$	2.82738	−	5.29206i	0.471231	−	0.882010i
$7$	−6.40210	−	7.62973i	−0.914586	−	1.08996i	−0.995643	−	0.0932519i	$-0.970274\pi$
$7$	−6.40210	−	7.62973i	−0.914586	−	1.08996i	0.0810563	−	0.996710i	$-0.474171\pi$
$8$	−0.939205	−	7.94468i	−0.117401	−	0.993085i
$9$	−8.99928	−	0.113591i	−0.999920	−	0.0126212i
$10$	7.61182	−	9.82987i	0.761182	−	0.982987i
$11$	−12.4562	+	2.19637i	−1.13239	+	0.199670i	−0.708272	−	0.705939i	$-0.750525\pi$
$11$	−12.4562	+	2.19637i	−1.13239	+	0.199670i	−0.424113	+	0.905609i	$0.639414\pi$
$12$	−9.93283	+	6.73342i	−0.827736	+	0.561118i
$13$	12.1504	−	4.42239i	0.934648	−	0.340184i	0.170598	−	0.985341i	$-0.445430\pi$
$13$	12.1504	−	4.42239i	0.934648	−	0.340184i	0.764050	+	0.645157i	$0.223208\pi$
$14$	4.22565	+	19.4665i	0.301832	+	1.39046i
$15$	−18.3446	−	3.35415i	−1.22297	−	0.223610i
$16$	−5.73663	+	14.9362i	−0.358539	+	0.933515i
$17$	−9.19757	+	15.9307i	−0.541034	+	0.937098i	0.457811	+	0.889049i	$0.348634\pi$
$17$	−9.19757	+	15.9307i	−0.541034	+	0.937098i	−0.998845	+	0.0480485i	$0.984700\pi$
$18$	15.8223	+	8.58217i	0.879019	+	0.476787i
$19$	−4.75708	+	2.74650i	−0.250373	+	0.144553i	−0.619935	−	0.784653i	$-0.712841\pi$
$19$	−4.75708	+	2.74650i	−0.250373	+	0.144553i	0.369562	+	0.929206i	$0.379508\pi$
$20$	−22.6271	+	10.3092i	−1.13135	+	0.515462i
$21$	23.0099	−	19.0615i	1.09571	−	0.907690i
$22$	24.0922	+	7.71319i	1.09510	+	0.350600i
$23$	−6.65021	+	7.92541i	−0.289140	+	0.344583i	−0.890988	−	0.454027i	$-0.849987\pi$
$23$	−6.65021	+	7.92541i	−0.289140	+	0.344583i	0.601848	+	0.798611i	$0.294431\pi$
$24$	23.8513	−	2.66715i	0.993806	−	0.111131i
$25$	−12.8188	−	4.66567i	−0.512753	−	0.186627i
$26$	−25.6240	−	3.48848i	−0.985540	−	0.134172i
$27$	0.511142	−	26.9952i	0.0189312	−	0.999821i
$28$	10.6502	−	38.3897i	0.380364	−	1.37106i
$29$	9.36615	+	3.40900i	0.322971	+	0.117552i	0.498417	−	0.866937i	$-0.333915\pi$
$29$	9.36615	+	3.40900i	0.322971	+	0.117552i	−0.175447	+	0.984489i	$0.556137\pi$
$30$	29.3449	+	23.0211i	0.978164	+	0.767370i
$31$	−20.5079	+	24.4404i	−0.661545	+	0.788399i	−0.987607	−	0.156950i	$-0.949834\pi$
$31$	−20.5079	+	24.4404i	−0.661545	+	0.788399i	0.326061	+	0.945349i	$0.394278\pi$
$32$	24.0637	−	21.0935i	0.751991	−	0.659173i
$33$	−6.35316	−	37.4096i	−0.192520	−	1.13362i
$34$	31.1155	−	19.6304i	0.915161	−	0.577365i
$35$	53.6183	−	30.9565i	1.53195	−	0.884472i
$36$	−20.0118	−	29.9254i	−0.555883	−	0.831260i
$37$	−28.6614	+	49.6430i	−0.774633	+	1.34170i	0.160368	+	0.987057i	$0.448732\pi$
$37$	−28.6614	+	49.6430i	−0.774633	+	1.34170i	−0.935001	+	0.354646i	$0.884601\pi$
$38$	10.9776	−	0.430805i	0.288883	−	0.0113370i
$39$	13.0369	+	36.5343i	0.334279	+	0.936776i
$40$	49.6495	+	2.82616i	1.24124	+	0.0706540i
$41$	−8.81153	+	3.20713i	−0.214915	+	0.0782228i	−0.447234	−	0.894417i	$-0.647591\pi$
$41$	−8.81153	+	3.20713i	−0.214915	+	0.0782228i	0.232319	+	0.972640i	$0.425369\pi$
$42$	−58.4782	+	12.3081i	−1.39234	+	0.293051i
$43$	65.6751	−	11.5803i	1.52733	−	0.269309i	0.654020	−	0.756478i	$-0.273081\pi$
$43$	65.6751	−	11.5803i	1.52733	−	0.269309i	0.873308	+	0.487169i	$0.161970\pi$
$44$	−35.4582	−	36.0892i	−0.805868	−	0.820208i
$45$	10.4095	−	54.9691i	0.231323	−	1.22154i
$46$	19.1514	−	7.83404i	0.416336	−	0.170305i
$47$	19.6132	+	23.3740i	0.417301	+	0.497320i	0.933214	−	0.359321i	$-0.116992\pi$
$47$	19.6132	+	23.3740i	0.417301	+	0.497320i	−0.515913	+	0.856641i	$0.672547\pi$
$48$	−44.6992	−	17.4923i	−0.931233	−	0.364423i
$49$	−8.71709	+	49.4371i	−0.177900	+	1.00892i
$50$	18.3433	+	20.1962i	0.366866	+	0.403925i
$51$	−47.6169	−	27.8938i	−0.933665	−	0.546937i
$52$	42.1040	+	30.0383i	0.809692	+	0.577660i
$53$	59.3574			1.11995			0.559975	−	0.828509i	$-0.310811\pi$
$53$	59.3574			1.11995			0.559975	+	0.828509i	$0.310811\pi$
$54$	−26.0456	+	47.3036i	−0.482325	+	0.875992i
$55$		−	78.6253i		−	1.42955i
$56$	−54.6029	+	58.0285i	−0.975051	+	1.03622i
$57$	−8.14928	−	14.3230i	−0.142970	−	0.251280i
$58$	−13.4026	−	14.7565i	−0.231080	−	0.254422i
$59$	−102.326	−	18.0429i	−1.73434	−	0.305812i	−0.784870	−	0.619660i	$-0.787270\pi$
$59$	−102.326	−	18.0429i	−1.73434	−	0.305812i	−0.949473	+	0.313849i	$0.898382\pi$
$60$	−30.4987	−	68.0750i	−0.508312	−	1.13458i
$61$	−24.2267	+	20.3286i	−0.397159	+	0.333256i	−0.819394	−	0.573230i	$-0.805690\pi$
$61$	−24.2267	+	20.3286i	−0.397159	+	0.333256i	0.422235	+	0.906486i	$0.361246\pi$
$62$	59.0592	−	24.1586i	0.952567	−	0.389654i
$63$	56.7477	+	69.3893i	0.900757	+	1.10142i
$64$	−62.2358	+	14.9234i	−0.972434	+	0.233178i
$65$	13.9573	+	79.1560i	0.214728	+	1.21779i
$66$	−23.5952	+	72.1291i	−0.357504	+	1.09287i
$67$	33.8532	+	93.0109i	0.505272	+	1.38822i	0.886064	+	0.463562i	$0.153429\pi$
$67$	33.8532	+	93.0109i	0.505272	+	1.38822i	−0.380792	+	0.924661i	$0.624349\pi$
$68$	−73.3543	+	5.76633i	−1.07874	+	0.0847990i
$69$	−23.6499	−	20.1003i	−0.342752	−	0.291308i
$70$	−123.731	+	4.85571i	−1.76758	+	0.0693673i
$71$	72.6010	+	41.9162i	1.02255	+	0.590369i	0.914841	−	0.403813i	$-0.132316\pi$
$71$	72.6010	+	41.9162i	1.02255	+	0.590369i	0.107708	+	0.994183i	$0.465649\pi$
$72$	7.54973	+	71.6031i	0.104857	+	0.994487i
$73$	−45.9238	−	79.5424i	−0.629094	−	1.08962i	−0.987734	−	0.156146i	$-0.950093\pi$
$73$	−45.9238	−	79.5424i	−0.629094	−	1.08962i	0.358640	−	0.933476i	$-0.383240\pi$
$74$	96.9618	−	61.1721i	1.31029	−	0.826650i
$75$	14.2394	−	38.3674i	0.189859	−	0.511565i
$76$	−19.8308	−	9.46102i	−0.260931	−	0.124487i
$77$	96.5038	+	80.9763i	1.25330	+	1.05164i
$78$	10.9503	−	76.8045i	0.140389	−	0.984674i
$79$	−25.9142	+	71.1988i	−0.328028	+	0.901251i	0.660582	+	0.750754i	$0.270310\pi$
$79$	−25.9142	+	71.1988i	−0.328028	+	0.901251i	−0.988611	+	0.150497i	$0.951913\pi$
$80$	−85.2442	−	51.2412i	−1.06555	−	0.640515i
$81$	80.9742	+	2.04447i	0.999681	+	0.0252404i
$82$	18.5827	+	2.52986i	0.226618	+	0.0308519i
$83$	9.07369	−	24.9298i	0.109322	−	0.300359i	−0.872954	−	0.487803i	$-0.837798\pi$
$83$	9.07369	−	24.9298i	0.109322	−	0.300359i	0.982275	+	0.187445i	$0.0600205\pi$
$84$	114.965	+	32.6768i	1.36863	+	0.389009i
$85$	−87.5960	−	73.5018i	−1.03054	−	0.864727i
$86$	−127.025	−	40.6675i	−1.47704	−	0.472878i
$87$	−10.4041	+	28.0334i	−0.119588	+	0.322223i
$88$	29.1484	+	96.8979i	0.331232	+	1.10111i
$89$	−53.2910	−	92.3027i	−0.598775	−	1.03711i	−0.993002	−	0.118096i	$-0.962321\pi$
$89$	−53.2910	−	92.3027i	−0.598775	−	1.03711i	0.394227	−	0.919013i	$-0.371012\pi$
$90$	−69.6175	+	87.5971i	−0.773528	+	0.973301i
$91$	−111.530	−	64.3918i	−1.22560	−	0.707602i
$92$	−41.1927	−	3.97022i	−0.447746	−	0.0431546i
$93$	−72.9314	−	61.9852i	−0.784208	−	0.666507i
$94$	−12.9455	−	59.6364i	−0.137718	−	0.634430i
$95$	−11.6785	−	32.0865i	−0.122932	−	0.337753i
$96$	62.8238	+	72.5891i	0.654414	+	0.756136i
$97$	0.0639800	+	0.362849i	0.000659588	+	0.00374071i	0.985136	−	0.171778i	$-0.0549510\pi$
$97$	0.0639800	+	0.362849i	0.000659588	+	0.00374071i	−0.984476	+	0.175518i	$0.943840\pi$
$98$	61.4699	−	79.3820i	0.627244	−	0.810020i
$99$	112.347	−	18.3508i	1.13482	−	0.185362i
$100$	−13.6574	−	52.8293i	−0.136574	−	0.528293i
$101$	97.1655	−	81.5315i	0.962035	−	0.807243i	−0.0192482	−	0.999815i	$-0.506127\pi$
$101$	97.1655	−	81.5315i	0.962035	−	0.807243i	0.981283	+	0.192572i	$0.0616828\pi$
$102$	58.3010	+	93.7162i	0.571578	+	0.918786i
$103$	151.910	+	26.7859i	1.47486	+	0.260057i	0.852522	−	0.522692i	$-0.175072\pi$
$103$	151.910	+	26.7859i	1.47486	+	0.260057i	0.622337	+	0.782749i	$0.286183\pi$
$104$	−46.5462	−	92.3776i	−0.447560	−	0.888246i
$105$	91.8526	+	161.438i	0.874787	+	1.53750i
$106$	−105.059	−	55.2801i	−0.991118	−	0.521511i
$107$		−	25.0412i		−	0.234030i	−0.993130	−	0.117015i	$-0.962668\pi$
$107$		−	25.0412i		−	0.234030i	0.993130	−	0.117015i	$-0.0373325\pi$
$108$	90.1532	−	59.4677i	0.834752	−	0.550626i
$109$	−1.63154			−0.0149683			−0.00748413	−	0.999972i	$-0.502382\pi$
$109$	−1.63154			−0.0149683			−0.00748413	+	0.999972i	$0.502382\pi$
$110$	−73.2246	+	139.162i	−0.665678	+	1.26510i
$111$	−148.383	−	86.9224i	−1.33679	−	0.783084i
$112$	150.686	−	51.8544i	1.34541	−	0.462986i
$113$	5.85826	−	33.2239i	0.0518430	−	0.294017i	−0.947852	−	0.318711i	$-0.896750\pi$
$113$	5.85826	−	33.2239i	0.0518430	−	0.294017i	0.999695	+	0.0246943i	$0.00786124\pi$
$114$	1.08456	+	32.9402i	0.00951368	+	0.288949i
$115$	−41.3392	−	49.2662i	−0.359472	−	0.428402i
$116$	9.97886	+	38.6000i	0.0860246	+	0.332759i
$117$	−109.847	+	38.4182i	−0.938867	+	0.328360i
$118$	164.307	+	127.232i	1.39243	+	1.07824i
$119$	180.430	−	31.8148i	1.51622	−	0.267351i
$120$	−9.41829	+	148.892i	−0.0784857	+	1.24077i
$121$	36.6310	−	13.3326i	0.302736	−	0.110187i
$122$	61.8118	−	13.4177i	0.506654	−	0.109981i
$123$	−9.45439	−	26.4948i	−0.0768650	−	0.215405i
$124$	−127.030	−	12.2434i	−1.02443	−	0.0987367i
$125$	−35.3035	+	61.1474i	−0.282428	+	0.489179i
$126$	−35.8166	−	175.664i	−0.284258	−	1.39416i
$127$	−45.8752	+	26.4860i	−0.361222	+	0.208551i	−0.669617	−	0.742707i	$-0.733542\pi$
$127$	−45.8752	+	26.4860i	−0.361222	+	0.208551i	0.308395	+	0.951258i	$0.400208\pi$
$128$	124.051	+	31.5475i	0.969152	+	0.246465i
$129$	33.4968	+	197.241i	0.259665	+	1.52900i
$130$	49.0153	−	153.099i	0.377041	−	1.17769i
$131$	−94.5874	+	112.725i	−0.722041	+	0.860495i	−0.994827	−	0.101580i	$-0.967610\pi$
$131$	−94.5874	+	112.725i	−0.722041	+	0.860495i	0.272786	+	0.962075i	$0.412055\pi$
$132$	108.937	−	105.689i	0.825277	−	0.800676i
$133$	51.4104	+	18.7119i	0.386544	+	0.140691i
$134$	26.7041	−	196.151i	0.199285	−	1.46381i
$135$	164.707	+	32.2687i	1.22005	+	0.239027i
$136$	135.202	+	58.1096i	0.994135	+	0.427276i
$137$	−166.118	−	60.4619i	−1.21254	−	0.441328i	−0.344954	−	0.938620i	$-0.612106\pi$
$137$	−166.118	−	60.4619i	−1.21254	−	0.441328i	−0.867583	+	0.497292i	$0.834328\pi$
$138$	23.1391	+	57.6015i	0.167674	+	0.417402i
$139$	−48.8886	+	58.2632i	−0.351717	+	0.419160i	−0.912676	−	0.408684i	$-0.865988\pi$
$139$	−48.8886	+	58.2632i	−0.351717	+	0.419160i	0.560959	+	0.827843i	$0.310432\pi$
$140$	223.517	+	106.638i	1.59655	+	0.761697i
$141$	−70.4921	+	58.3958i	−0.499944	+	0.414154i
$142$	−89.4619	−	141.803i	−0.630013	−	0.998612i
$143$	−141.635	+	81.7732i	−0.990457	+	0.571840i
$144$	53.3222	−	133.764i	0.370293	−	0.928915i
$145$	−30.9794	+	53.6578i	−0.213651	+	0.370054i
$146$	7.20342	+	183.554i	0.0493385	+	1.25722i
$147$	−148.143	−	27.0867i	−1.00778	−	0.184263i
$148$	−228.586	+	17.9690i	−1.54450	+	0.121412i
$149$	−28.2118	+	10.2682i	−0.189341	+	0.0689144i	−0.434950	−	0.900454i	$-0.643234\pi$
$149$	−28.2118	+	10.2682i	−0.189341	+	0.0689144i	0.245610	+	0.969369i	$0.421012\pi$
$150$	−60.9348	+	54.6464i	−0.406232	+	0.364309i
$151$	−82.1866	+	14.4917i	−0.544282	+	0.0959716i	−0.439027	−	0.898474i	$-0.644677\pi$
$151$	−82.1866	+	14.4917i	−0.544282	+	0.0959716i	−0.105255	+	0.994445i	$0.533566\pi$
$152$	26.2879	+	35.2139i	0.172947	+	0.231671i
$153$	84.5811	−	142.320i	0.552818	−	0.930195i
$154$	−95.3912	−	233.198i	−0.619423	−	1.51427i
$155$	−127.482	−	151.927i	−0.822463	−	0.980174i
$156$	−90.9102	+	125.741i	−0.582758	+	0.806030i
$157$	10.1447	−	57.5333i	0.0646158	−	0.366454i	−0.935305	−	0.353843i	$-0.884875\pi$
$157$	10.1447	−	57.5333i	0.0646158	−	0.366454i	0.999920	−	0.0126109i	$-0.00401429\pi$
$158$	112.175	−	101.883i	0.709966	−	0.644828i
$159$	−1.12376	+	178.069i	−0.00706770	+	1.11993i
$160$	103.155	+	170.082i	0.644719	+	1.06301i
$161$	103.044			0.640025
$162$	−141.415	−	79.0307i	−0.872931	−	0.487844i
$163$		−	208.348i		−	1.27821i	−0.769121	−	0.639104i	$-0.779306\pi$
$163$		−	208.348i		−	1.27821i	0.769121	−	0.639104i	$-0.220694\pi$
$164$	−30.5340	−	21.7839i	−0.186183	−	0.132829i
$165$	235.871	+	1.48855i	1.42952	+	0.00902151i
$166$	−39.2772	+	35.6736i	−0.236609	+	0.214901i
$167$	−174.030	−	30.6862i	−1.04210	−	0.183750i	−0.373697	−	0.927551i	$-0.621910\pi$
$167$	−174.030	−	30.6862i	−1.04210	−	0.183750i	−0.668401	+	0.743801i	$0.733021\pi$
$168$	−173.048	−	164.904i	−1.03005	−	0.981571i
$169$	−1.38636	+	1.16330i	−0.00820334	+	0.00688342i
$170$	86.5861	+	211.672i	0.509330	+	1.24513i
$171$	43.1223	−	24.1762i	0.252177	−	0.141381i
$172$	186.952	+	190.279i	1.08693	+	1.10627i
$173$	−5.36518	−	30.4274i	−0.0310126	−	0.175881i	0.965367	−	0.260895i	$-0.0840176\pi$
$173$	−5.36518	−	30.4274i	−0.0310126	−	0.175881i	−0.996380	+	0.0850139i	$0.972907\pi$
$174$	44.5223	−	39.9277i	0.255876	−	0.229469i
$175$	46.4697	+	127.674i	0.265541	+	0.729568i
$176$	38.6513	−	198.649i	0.219610	−	1.12869i
$177$	56.0648	−	306.631i	0.316750	−	1.73238i
$178$	8.35900	+	213.000i	0.0469607	+	1.19663i
$179$	131.775	+	76.0806i	0.736176	+	0.425031i	0.820677	−	0.571392i	$-0.193596\pi$
$179$	131.775	+	76.0806i	0.736176	+	0.425031i	−0.0845014	+	0.996423i	$0.526930\pi$
$180$	204.798	−	90.2055i	1.13777	−	0.501142i
$181$	34.3250	+	59.4527i	0.189641	+	0.328468i	0.945131	−	0.326693i	$-0.105934\pi$
$181$	34.3250	+	59.4527i	0.189641	+	0.328468i	−0.755489	+	0.655161i	$0.772601\pi$
$182$	137.432	+	217.838i	0.755119	+	1.19691i
$183$	−60.5259	−	73.0635i	−0.330743	−	0.399254i
$184$	69.2107	+	45.3902i	0.376145	+	0.246686i
$185$	−272.966	−	229.046i	−1.47549	−	1.23808i
$186$	71.3562	+	177.631i	0.383635	+	0.955007i
$187$	79.5775	−	218.637i	0.425548	−	1.16918i
$188$	−32.6274	+	117.609i	−0.173550	+	0.625578i
$189$	−209.238	+	168.926i	−1.10708	+	0.893788i
$190$	−9.21229	+	67.6674i	−0.0484857	+	0.356144i
$191$	48.2365	−	132.529i	0.252547	−	0.693868i	−0.747030	−	0.664790i	$-0.768521\pi$
$191$	48.2365	−	132.529i	0.252547	−	0.693868i	0.999577	−	0.0290775i	$-0.00925697\pi$
$192$	−43.5909	−	186.986i	−0.227036	−	0.973886i
$193$	161.554	+	135.560i	0.837068	+	0.702383i	0.956902	−	0.290411i	$-0.0937919\pi$
$193$	161.554	+	135.560i	0.837068	+	0.702383i	−0.119834	+	0.992794i	$0.538236\pi$
$194$	0.224685	−	0.701803i	0.00115817	−	0.00361754i
$195$	−237.728	+	40.3726i	−1.21912	+	0.207039i
$196$	−182.727	+	83.2531i	−0.932280	+	0.424761i
$197$	29.2008	+	50.5773i	0.148227	+	0.256738i	0.930572	−	0.366108i	$-0.119310\pi$
$197$	29.2008	+	50.5773i	0.148227	+	0.256738i	−0.782345	+	0.622845i	$0.785977\pi$
$198$	−215.936	−	72.1499i	−1.09059	−	0.364393i
$199$	43.4780	+	25.1020i	0.218482	+	0.126141i	0.605247	−	0.796037i	$-0.293074\pi$
$199$	43.4780	+	25.1020i	0.218482	+	0.126141i	−0.386765	+	0.922178i	$0.626408\pi$
$200$	−25.0278	+	106.224i	−0.125139	+	0.531118i
$201$	−279.668	+	99.7967i	−1.39138	+	0.496501i
$202$	−247.908	+	53.8141i	−1.22727	+	0.266406i
$203$	−33.9533	−	93.2860i	−0.167258	−	0.459537i
$204$	−15.9099	−	220.168i	−0.0779897	−	1.07925i
$205$	−10.1219	−	57.4042i	−0.0493752	−	0.280021i
$206$	−243.925	−	188.885i	−1.18410	−	0.916917i
$207$	60.7474	−	70.5676i	0.293466	−	0.340906i
$208$	−3.64859	+	206.851i	−0.0175413	+	0.994477i
$209$	53.2230	−	44.6594i	0.254655	−	0.213681i
$210$	−12.2243	−	371.277i	−0.0582112	−	1.76799i
$211$	−199.644	−	35.2027i	−0.946182	−	0.166837i	−0.320792	−	0.947150i	$-0.603949\pi$
$211$	−199.644	−	35.2027i	−0.946182	−	0.166837i	−0.625390	+	0.780312i	$0.715060\pi$
$212$	134.464	+	195.684i	0.634262	+	0.923039i
$213$	−127.121	+	217.005i	−0.596810	+	1.01880i
$214$	−23.3211	+	44.3212i	−0.108977	+	0.207108i
$215$			414.549i			1.92814i
$216$	−214.948	+	21.2931i	−0.995129	+	0.0985793i
$217$	317.767			1.46436
$218$	2.88772	+	1.51947i	0.0132464	+	0.00697005i
$219$	239.492	−	136.263i	1.09357	−	0.622205i
$220$	259.205	−	178.112i	1.17821	−	0.809599i
$221$	−41.3027	+	234.240i	−0.186890	+	1.05991i
$222$	181.677	+	292.038i	0.818365	+	1.31549i
$223$	149.754	+	178.470i	0.671542	+	0.800312i	0.988993	−	0.147962i	$-0.0472715\pi$
$223$	149.754	+	178.470i	0.671542	+	0.800312i	−0.317451	+	0.948275i	$0.602827\pi$
$224$	−314.996	−	48.5566i	−1.40623	−	0.216771i
$225$	114.830	+	43.4438i	0.510357	+	0.193084i
$226$	−41.3105	+	53.3481i	−0.182790	+	0.236054i
$227$	223.326	−	39.3784i	0.983815	−	0.173473i	0.341473	−	0.939891i	$-0.389074\pi$
$227$	223.326	−	39.3784i	0.983815	−	0.173473i	0.642342	+	0.766418i	$0.277963\pi$
$228$	28.7579	−	59.3119i	0.126131	−	0.260140i
$229$	415.429	−	151.204i	1.81410	−	0.660278i	0.817684	−	0.575667i	$-0.195258\pi$
$229$	415.429	−	151.204i	1.81410	−	0.660278i	0.996414	−	0.0846107i	$-0.0269647\pi$
$230$	27.2856	+	125.697i	0.118633	+	0.546511i
$231$	−244.751	+	287.973i	−1.05953	+	1.24664i
$232$	18.2867	−	77.6128i	0.0788219	−	0.334538i
$233$	18.2450	−	31.6013i	0.0783048	−	0.135628i	−0.824214	−	0.566279i	$-0.808383\pi$
$233$	18.2450	−	31.6013i	0.0783048	−	0.135628i	0.902519	+	0.430651i	$0.141716\pi$
$234$	230.202	+	34.3044i	0.983768	+	0.146600i
$235$	−164.262	+	94.8368i	−0.698988	+	0.403561i
$236$	−172.320	−	378.213i	−0.730168	−	1.60260i
$237$	−213.102	−	79.0891i	−0.899163	−	0.333709i
$238$	−348.979	−	111.727i	−1.46630	−	0.469440i
$239$	−22.1853	+	26.4394i	−0.0928255	+	0.110625i	−0.810458	−	0.585797i	$-0.800781\pi$
$239$	−22.1853	+	26.4394i	−0.0928255	+	0.110625i	0.717632	+	0.696422i	$0.245226\pi$
$240$	155.334	−	254.757i	0.647226	−	1.06149i
$241$	−56.7436	−	20.6530i	−0.235451	−	0.0856971i	0.221600	−	0.975138i	$-0.428872\pi$
$241$	−56.7436	−	20.6530i	−0.235451	−	0.0856971i	−0.457051	+	0.889441i	$0.651094\pi$
$242$	−77.2512	−	10.5170i	−0.319220	−	0.0434588i
$243$	−7.66631	+	242.879i	−0.0315486	+	0.999502i
$244$	−121.899	−	33.8176i	−0.499585	−	0.138597i
$245$	−293.234	−	106.728i	−1.19687	−	0.435626i
$246$	−7.94123	+	55.6989i	−0.0322814	+	0.226418i
$247$	−45.6544	+	54.4088i	−0.184836	+	0.220279i
$248$	213.432	+	139.974i	0.860613	+	0.564412i
$249$	74.6160	+	27.6925i	0.299663	+	0.111215i
$250$	119.432	−	75.3483i	0.477728	−	0.301393i
$251$	225.076	−	129.948i	0.896718	−	0.517721i	0.0205844	−	0.999788i	$-0.493447\pi$
$251$	225.076	−	129.948i	0.896718	−	0.517721i	0.876134	+	0.482067i	$0.160114\pi$
$252$	−100.205	+	344.270i	−0.397638	+	1.36615i
$253$	65.4295	−	113.327i	0.258614	−	0.447933i
$254$	105.863	−	4.15449i	0.416782	−	0.0163562i
$255$	222.159	−	261.391i	0.871213	−	1.02506i
$256$	−190.182	−	171.367i	−0.742899	−	0.669403i
$257$	−10.9630	+	3.99020i	−0.0426575	+	0.0155261i	−0.363261	−	0.931688i	$-0.618337\pi$
$257$	−10.9630	+	3.99020i	−0.0426575	+	0.0155261i	0.320603	+	0.947214i	$0.396114\pi$
$258$	124.405	−	380.298i	0.482190	−	1.47402i
$259$	562.256	−	99.1409i	2.17087	−	0.382783i
$260$	−229.337	+	225.327i	−0.882065	+	0.866643i
$261$	−83.9014	−	31.7425i	−0.321461	−	0.121619i
$262$	272.395	−	111.425i	1.03968	−	0.425287i
$263$	−4.63305	−	5.52146i	−0.0176162	−	0.0209941i	0.757164	−	0.653224i	$-0.226584\pi$
$263$	−4.63305	−	5.52146i	−0.0176162	−	0.0209941i	−0.774781	+	0.632230i	$0.782140\pi$
$264$	−291.240	+	85.6090i	−1.10318	+	0.324277i
$265$	−64.0725	+	363.373i	−0.241783	+	1.37122i
$266$	−73.5664	−	80.9977i	−0.276565	−	0.304503i
$267$	277.912	−	158.122i	1.04087	−	0.592219i
$268$	−229.942	+	322.304i	−0.857992	+	1.20263i
$269$	−366.099			−1.36096			−0.680481	−	0.732765i	$-0.738229\pi$
$269$	−366.099			−1.36096			−0.680481	+	0.732765i	$0.738229\pi$
$270$	−261.468	−	210.507i	−0.968401	−	0.779655i
$271$			328.444i			1.21197i	0.795476	+	0.605985i	$0.207221\pi$
$271$			328.444i			1.21197i	−0.795476	+	0.605985i	$0.792779\pi$
$272$	−185.181	−	228.765i	−0.680813	−	0.841049i
$273$	195.283	−	333.364i	0.715323	−	1.22111i
$274$	237.708	+	261.720i	0.867548	+	0.955184i
$275$	169.922	+	29.9618i	0.617898	+	0.108952i
$276$	12.6903	−	123.500i	0.0459793	−	0.447465i
$277$	369.729	−	310.240i	1.33476	−	1.12000i	0.351824	−	0.936066i	$-0.385562\pi$
$277$	369.729	−	310.240i	1.33476	−	1.12000i	0.982939	−	0.183933i	$-0.0588829\pi$
$278$	140.791	−	57.5915i	0.506442	−	0.207164i
$279$	187.333	−	217.616i	0.671443	−	0.779987i
$280$	−296.298	−	396.905i	−1.05821	−	1.41752i
$281$	52.8247	+	299.584i	0.187988	+	1.06613i	0.922056	+	0.387057i	$0.126508\pi$
$281$	52.8247	+	299.584i	0.187988	+	1.06613i	−0.734068	+	0.679077i	$0.762380\pi$
$282$	179.151	−	37.7066i	0.635286	−	0.133711i
$283$	−61.7047	−	169.532i	−0.218038	−	0.599054i	0.781658	−	0.623707i	$-0.214374\pi$
$283$	−61.7047	−	169.532i	−0.218038	−	0.599054i	−0.999696	+	0.0246531i	$0.992152\pi$
$284$	26.2790	+	334.298i	0.0925316	+	1.17711i
$285$	96.4788	−	34.4275i	0.338522	−	0.120798i
$286$	326.841	−	12.8266i	1.14280	−	0.0448482i
$287$	80.8819	+	46.6972i	0.281818	+	0.162708i
$288$	−218.952	+	187.093i	−0.760251	+	0.649630i
$289$	−24.6907	−	42.7656i	−0.0854350	−	0.147978i
$290$	104.803	−	66.1193i	0.361391	−	0.227998i
$291$	−1.08974	+	0.185067i	−0.00374480	+	0.000635968i
$292$	158.196	−	331.587i	0.541768	−	1.13557i
$293$	68.9601	+	57.8644i	0.235359	+	0.197489i	0.752837	−	0.658207i	$-0.228685\pi$
$293$	68.9601	+	57.8644i	0.235359	+	0.197489i	−0.517478	+	0.855696i	$0.673129\pi$
$294$	236.977	+	185.909i	0.806045	+	0.632343i
$295$	220.910	−	606.944i	0.748846	−	2.05744i
$296$	421.317	+	181.081i	1.42337	+	0.611759i
$297$	52.9245	+	337.381i	0.178197	+	1.13596i
$298$	59.4958	+	8.09981i	0.199650	+	0.0271806i
$299$	−45.7536	+	125.707i	−0.153022	+	0.420424i
$300$	158.743	−	39.9712i	0.529144	−	0.133237i
$301$	−508.813	−	426.945i	−1.69041	−	1.41842i
$302$	158.961	+	50.8919i	0.526361	+	0.168516i
$303$	242.750	+	293.034i	0.801156	+	0.967110i
$304$	−13.7328	−	86.8085i	−0.0451736	−	0.285554i
$305$	−98.2963	−	170.254i	−0.322283	−	0.558211i
$306$	−282.247	+	173.125i	−0.922375	+	0.565768i
$307$	−240.418	−	138.805i	−0.783121	−	0.452135i	0.0544142	−	0.998518i	$-0.482671\pi$
$307$	−240.418	−	138.805i	−0.783121	−	0.452135i	−0.837535	+	0.546383i	$0.816004\pi$
$308$	−48.3434	+	501.583i	−0.156959	+	1.62852i
$309$	−83.2321	+	455.215i	−0.269360	+	1.47319i
$310$	84.1431	+	387.626i	0.271429	+	1.25041i
$311$	−8.27881	−	22.7459i	−0.0266200	−	0.0731378i	0.925671	−	0.378330i	$-0.123502\pi$
$311$	−8.27881	−	22.7459i	−0.0266200	−	0.0731378i	−0.952291	+	0.305192i	$0.901279\pi$
$312$	278.009	−	137.887i	0.891053	−	0.441945i
$313$	27.9677	+	158.613i	0.0893538	+	0.506751i	0.996332	+	0.0855728i	$0.0272720\pi$
$313$	27.9677	+	158.613i	0.0893538	+	0.506751i	−0.906978	+	0.421178i	$0.861617\pi$
$314$	−71.5368	+	92.3823i	−0.227824	+	0.294211i
$315$	−486.043	+	272.496i	−1.54299	+	0.865067i
$316$	−293.426	+	75.8564i	−0.928564	+	0.240052i
$317$	163.182	−	136.926i	0.514771	−	0.431944i	−0.348034	−	0.937482i	$-0.613150\pi$
$317$	163.182	−	136.926i	0.514771	−	0.431944i	0.862804	+	0.505538i	$0.168706\pi$
$318$	167.826	−	314.123i	0.527755	−	0.987807i
$319$	−124.154	−	21.8918i	−0.389199	−	0.0686263i
$320$	−24.1781	−	397.103i	−0.0755566	−	1.24095i
$321$	75.1220	+	0.474084i	0.234025	+	0.00147690i
$322$	−182.381	−	95.9660i	−0.566401	−	0.298031i
$323$		−	101.045i		−	0.312832i
$324$	176.693	+	271.580i	0.545348	+	0.838210i
$325$	−176.388			−0.542731
$326$	−194.036	+	368.761i	−0.595204	+	1.13117i
$327$	0.0308886	−	4.89453i	9.44607e−5	−	0.0149680i
$328$	33.7555	+	66.9926i	0.102913	+	0.204246i
$329$	52.7722	−	299.286i	0.160402	−	0.909684i
$330$	−416.090	−	222.304i	−1.26088	−	0.673649i
$331$	177.153	+	211.123i	0.535205	+	0.637833i	0.964106	−	0.265519i	$-0.0855433\pi$
$331$	177.153	+	211.123i	0.535205	+	0.637833i	−0.428900	+	0.903352i	$0.641099\pi$
$332$	102.741	−	26.5606i	0.309461	−	0.0800018i
$333$	263.571	−	443.496i	0.791505	−	1.33182i
$334$	279.444	+	216.389i	0.836657	+	0.647871i
$335$	−605.936	+	106.843i	−1.80876	+	0.318934i
$336$	152.707	+	453.031i	0.454486	+	1.34831i
$337$	−59.6851	+	21.7236i	−0.177107	+	0.0644617i	−0.429052	−	0.903280i	$-0.641152\pi$
$337$	−59.6851	+	21.7236i	−0.177107	+	0.0644617i	0.251944	+	0.967742i	$0.418930\pi$
$338$	3.53716	−	0.767823i	0.0104650	−	0.00227167i
$339$	99.5587	+	18.2034i	0.293683	+	0.0536975i
$340$	43.8811	−	455.284i	0.129062	−	1.33907i
$341$	201.771	−	349.478i	0.591704	−	1.02486i
$342$	−98.8391	+	2.62998i	−0.289003	+	0.00769001i
$343$	10.3481	−	5.97449i	0.0301695	−	0.0174184i
$344$	−153.684	−	510.891i	−0.446756	−	1.48515i
$345$	148.578	−	123.083i	0.430662	−	0.356761i
$346$	−18.8414	+	58.8511i	−0.0544548	+	0.170090i
$347$	−95.6242	+	113.961i	−0.275574	+	0.328417i	−0.886025	−	0.463638i	$-0.846544\pi$
$347$	−95.6242	+	113.961i	−0.275574	+	0.328417i	0.610451	+	0.792054i	$0.290988\pi$
$348$	−115.987	+	29.2052i	−0.333295	+	0.0839230i
$349$	−28.0401	−	10.2058i	−0.0803441	−	0.0292428i	0.301535	−	0.953455i	$-0.402501\pi$
$349$	−28.0401	−	10.2058i	−0.0803441	−	0.0292428i	−0.381879	+	0.924212i	$0.624723\pi$
$350$	36.6563	−	269.253i	0.104732	−	0.769293i
$351$	−113.173	−	330.263i	−0.322429	−	0.940920i
$352$	−253.414	+	315.599i	−0.719927	+	0.896588i
$353$	−312.073	−	113.585i	−0.884059	−	0.321771i	−0.140213	−	0.990121i	$-0.544779\pi$
$353$	−312.073	−	113.585i	−0.884059	−	0.321771i	−0.743847	+	0.668350i	$0.767001\pi$
$354$	−384.800	+	490.503i	−1.08700	+	1.38560i
$355$	−334.970	+	399.202i	−0.943579	+	1.12451i
$356$	183.574	−	384.781i	0.515658	−	1.08084i
$357$	92.0264	+	541.883i	0.257777	+	1.51788i
$358$	−162.379	−	257.381i	−0.453573	−	0.718942i
$359$	−79.0415	+	45.6346i	−0.220171	+	0.127116i	−0.606030	−	0.795442i	$-0.707239\pi$
$359$	−79.0415	+	45.6346i	−0.220171	+	0.127116i	0.385858	+	0.922558i	$0.373905\pi$
$360$	−446.489	−	31.0732i	−1.24025	−	0.0863143i
$361$	−165.413	+	286.505i	−0.458209	+	0.793641i
$362$	−5.38408	−	137.195i	−0.0148732	−	0.378991i
$363$	39.3035	+	110.143i	0.108274	+	0.303425i
$364$	−40.3698	−	513.550i	−0.110906	−	1.41085i
$365$	536.514	−	195.275i	1.46990	−	0.535000i
$366$	39.0821	+	185.686i	0.106782	+	0.507338i
$367$	−463.179	+	81.6710i	−1.26207	+	0.222537i	−0.764350	−	0.644802i	$-0.776940\pi$
$367$	−463.179	+	81.6710i	−1.26207	+	0.222537i	−0.497719	+	0.867339i	$0.665829\pi$
$368$	−80.2260	−	144.794i	−0.218005	−	0.393463i
$369$	79.6618	−	27.8610i	0.215886	−	0.0755041i
$370$	269.819	+	659.611i	0.729240	+	1.78273i
$371$	−380.012	−	452.881i	−1.02429	−	1.22070i
$372$	39.1343	−	380.850i	0.105200	−	1.02379i
$373$	−103.073	+	584.554i	−0.276334	+	1.56717i	0.458357	+	0.888768i	$0.348438\pi$
$373$	−103.073	+	584.554i	−0.276334	+	1.56717i	−0.734692	+	0.678401i	$0.762673\pi$
$374$	−344.466	+	312.862i	−0.921032	+	0.836530i
$375$	−182.770	−	107.066i	−0.487387	−	0.285509i
$376$	167.278	−	177.773i	0.444890	−	0.472801i
$377$	128.879			0.341853
$378$	527.660	−	104.122i	1.39593	−	0.275455i
$379$			189.006i			0.498698i	0.968414	+	0.249349i	$0.0802166\pi$
$379$			189.006i			0.498698i	−0.968414	+	0.249349i	$0.919783\pi$
$380$	79.3244	−	111.187i	0.208748	−	0.292598i
$381$	−78.5880	−	138.124i	−0.206268	−	0.362531i
$382$	−208.801	+	189.644i	−0.546599	+	0.496450i
$383$	235.927	+	41.6003i	0.615998	+	0.108617i	0.472936	−	0.881097i	$-0.343194\pi$
$383$	235.927	+	41.6003i	0.615998	+	0.108617i	0.143062	+	0.989714i	$0.454305\pi$
$384$	−96.9891	+	371.550i	−0.252576	+	0.967577i
$385$	−599.890	+	503.368i	−1.55816	+	1.30745i
$386$	−159.691	−	390.389i	−0.413708	−	1.01137i
$387$	−592.344	+	96.7542i	−1.53060	+	0.250011i
$388$	−1.05127	+	1.03289i	−0.00270947	+	0.00266210i
$389$	120.441	+	683.055i	0.309617	+	1.75593i	0.600933	+	0.799300i	$0.294796\pi$
$389$	120.441	+	683.055i	0.309617	+	1.75593i	−0.291316	+	0.956627i	$0.594093\pi$
$390$	458.361	+	149.941i	1.17529	+	0.384465i
$391$	−65.0913	−	178.837i	−0.166474	−	0.457383i
$392$	400.949	+	22.8229i	1.02283	+	0.0582217i
$393$	−336.377	−	285.891i	−0.855921	−	0.727457i
$394$	−4.58032	−	116.713i	−0.0116252	−	0.296227i
$395$	−407.891	−	235.496i	−1.03264	−	0.596193i
$396$	314.999	+	328.804i	0.795452	+	0.830314i
$397$	−15.0758	−	26.1121i	−0.0379744	−	0.0657736i	0.846414	−	0.532526i	$-0.178757\pi$
$397$	−15.0758	−	26.1121i	−0.0379744	−	0.0657736i	−0.884388	+	0.466753i	$0.845424\pi$
$398$	−53.5753	−	84.9204i	−0.134611	−	0.213368i
$399$	−57.1078	+	153.874i	−0.143127	+	0.385649i
$400$	143.225	−	164.700i	0.358061	−	0.411750i
$401$	386.613	+	324.407i	0.964122	+	0.808994i	0.981619	−	0.190853i	$-0.0611253\pi$
$401$	386.613	+	324.407i	0.964122	+	0.808994i	−0.0174971	+	0.999847i	$0.505570\pi$
$402$	587.936	+	83.8244i	1.46253	+	0.208518i
$403$	−141.095	+	387.655i	−0.350111	+	0.961922i
$404$	488.897	+	135.632i	1.21014	+	0.335722i
$405$	−99.9224	+	493.500i	−0.246722	+	1.21852i
$406$	−26.7831	+	196.731i	−0.0659683	+	0.484559i
$407$	247.979	−	681.316i	0.609285	−	1.67400i
$408$	−176.885	+	404.499i	−0.433542	+	0.991419i
$409$	−420.765	−	353.064i	−1.02877	−	0.863238i	−0.0380628	−	0.999275i	$-0.512119\pi$
$409$	−420.765	−	353.064i	−1.02877	−	0.863238i	−0.990704	+	0.136038i	$0.956563\pi$
$410$	−35.5461	+	111.028i	−0.0866977	+	0.270801i
$411$	184.527	−	497.198i	0.448971	−	1.20973i
$412$	255.821	+	561.484i	0.620924	+	1.36282i
$413$	517.441	+	896.234i	1.25288	+	2.17006i
$414$	−173.239	+	68.3253i	−0.418452	+	0.165037i
$415$	142.820	+	82.4574i	0.344145	+	0.198692i
$416$	199.100	−	362.715i	0.478607	−	0.871910i
$417$	−173.861	−	147.766i	−0.416932	−	0.354355i
$418$	−135.793	+	29.4770i	−0.324863	+	0.0705191i
$419$	270.119	+	742.145i	0.644675	+	1.77123i	0.636516	+	0.771264i	$0.280375\pi$
$419$	270.119	+	742.145i	0.644675	+	1.77123i	0.00815915	+	0.999967i	$0.497403\pi$
$420$	−324.138	+	668.520i	−0.771757	+	1.59171i
$421$	−89.7696	−	509.109i	−0.213229	−	1.20928i	−0.883953	−	0.467576i	$-0.845127\pi$
$421$	−89.7696	−	509.109i	−0.213229	−	1.20928i	0.670723	−	0.741708i	$-0.265984\pi$
$422$	320.572	+	248.237i	0.759650	+	0.588240i
$423$	−173.849	−	212.578i	−0.410991	−	0.502547i
$424$	−55.7487	−	471.575i	−0.131483	−	1.11221i
$425$	192.229	−	161.300i	0.452305	−	0.379529i
$426$	427.094	−	265.696i	1.00257	−	0.623699i
$427$	310.204	+	54.6973i	0.726472	+	0.128097i
$428$	82.5535	−	56.7263i	0.192882	−	0.132538i
$429$	−242.633	−	426.446i	−0.565579	−	0.994046i
$430$	386.074	−	733.724i	0.897847	−	1.70634i
$431$		−	0.0973931i		−	0.000225970i	−1.00000		0.000112985i	$-0.999964\pi$
$431$		−	0.0973931i		−	0.000225970i	1.00000		0.000112985i	$-3.59642e-5\pi$
$432$	400.274	+	162.496i	0.926560	+	0.376148i
$433$	−614.925			−1.42015			−0.710075	−	0.704126i	$-0.751339\pi$
$433$	−614.925			−1.42015			−0.710075	+	0.704126i	$0.751339\pi$
$434$	−562.426	−	295.940i	−1.29591	−	0.681889i
$435$	−160.384	−	93.9521i	−0.368698	−	0.215982i
$436$	−3.69597	−	5.37872i	−0.00847699	−	0.0123365i
$437$	9.86843	−	55.9666i	0.0225822	−	0.128070i
$438$	−550.788	+	18.1347i	−1.25751	+	0.0414035i
$439$	−180.311	−	214.887i	−0.410732	−	0.489492i	0.520529	−	0.853844i	$-0.325735\pi$
$439$	−180.311	−	214.887i	−0.410732	−	0.489492i	−0.931261	+	0.364352i	$0.881290\pi$
$440$	−624.653	+	73.8453i	−1.41967	+	0.167830i
$441$	84.0631	−	443.908i	0.190619	−	1.00659i
$442$	291.253	−	376.122i	0.658943	−	0.850956i
$443$	454.262	−	80.0986i	1.02542	−	0.180809i	0.364452	−	0.931222i	$-0.381256\pi$
$443$	454.262	−	80.0986i	1.02542	−	0.180809i	0.660969	+	0.750413i	$0.270145\pi$
$444$	−49.5783	−	686.085i	−0.111663	−	1.54524i
$445$	622.582	−	226.601i	1.39906	−	0.509217i
$446$	−98.8435	−	455.346i	−0.221622	−	1.02096i
$447$	−30.2700	−	84.8280i	−0.0677181	−	0.189772i
$448$	512.301	+	379.301i	1.14353	+	0.846655i
$449$	62.6003	−	108.427i	0.139422	−	0.241485i	−0.787856	−	0.615859i	$-0.788809\pi$
$449$	62.6003	−	108.427i	0.139422	−	0.241485i	0.927278	+	0.374374i	$0.122142\pi$
$450$	−162.782	−	183.835i	−0.361738	−	0.408523i
$451$	102.714	−	59.3022i	0.227748	−	0.131491i
$452$	122.800	−	55.9497i	0.271682	−	0.123783i
$453$	−41.9183	−	246.829i	−0.0925349	−	0.544877i
$454$	−431.945	−	138.289i	−0.951422	−	0.304601i
$455$	514.583	−	613.256i	1.13095	−	1.34782i
$456$	−106.137	+	78.1956i	−0.232757	+	0.171482i
$457$	−276.462	−	100.624i	−0.604951	−	0.220184i	0.0213418	−	0.999772i	$-0.493206\pi$
$457$	−276.462	−	100.624i	−0.604951	−	0.220184i	−0.626292	+	0.779588i	$0.715428\pi$
$458$	−876.098	−	119.273i	−1.91288	−	0.260421i
$459$	425.350	+	256.433i	0.926688	+	0.558677i
$460$	68.7698	−	247.887i	0.149499	−	0.538886i
$461$	644.039	+	234.411i	1.39705	+	0.508484i	0.927301	−	0.374317i	$-0.122123\pi$
$461$	644.039	+	234.411i	1.39705	+	0.508484i	0.469747	+	0.882801i	$0.344345\pi$
$462$	701.385	−	281.753i	1.51815	−	0.609855i
$463$	323.986	−	386.112i	0.699755	−	0.833935i	−0.292744	−	0.956191i	$-0.594568\pi$
$463$	323.986	−	386.112i	0.699755	−	0.833935i	0.992499	+	0.122256i	$0.0390128\pi$
$464$	−104.648	+	120.339i	−0.225534	+	0.259351i
$465$	458.185	−	379.562i	0.985345	−	0.816261i
$466$	−61.7231	+	38.9404i	−0.132453	+	0.0835631i
$467$	−527.100	+	304.321i	−1.12869	+	0.651651i	−0.943606	−	0.331071i	$-0.892590\pi$
$467$	−527.100	+	304.321i	−1.12869	+	0.651651i	−0.185087	+	0.982722i	$0.559257\pi$
$468$	−375.493	−	275.106i	−0.802336	−	0.587833i
$469$	492.917	−	853.757i	1.05099	−	1.82038i
$470$	379.056	−	14.8757i	0.806501	−	0.0316504i
$471$	172.404	+	31.5227i	0.366039	+	0.0669271i
$472$	−47.2395	+	829.895i	−0.100084	+	1.75825i
$473$	−792.630	+	288.494i	−1.67575	+	0.609923i
$474$	303.519	+	338.446i	0.640335	+	0.714021i
$475$	73.7945	−	13.0120i	0.155357	−	0.0273936i
$476$	513.617	+	522.757i	1.07903	+	1.09823i
$477$	−534.174	−	6.74245i	−1.11986	−	0.0141351i
$478$	63.8897	−	26.1346i	0.133661	−	0.0546748i
$479$	409.768	+	488.343i	0.855466	+	1.01951i	0.999552	+	0.0299399i	$0.00953160\pi$
$479$	409.768	+	488.343i	0.855466	+	1.01951i	−0.144085	+	0.989565i	$0.546024\pi$
$480$	−512.189	+	306.239i	−1.06706	+	0.637998i
$481$	−128.707	+	729.935i	−0.267583	+	1.51754i
$482$	81.1981	+	89.4004i	0.168461	+	0.185478i
$483$	−1.95085	+	309.126i	−0.00403903	+	0.640013i
$484$	126.935	+	90.5593i	0.262262	+	0.187106i
$485$	−2.29035			−0.00472237
$486$	239.765	−	422.740i	0.493343	−	0.869835i
$487$		−	445.312i		−	0.914398i	−0.889364	−	0.457199i	$-0.848853\pi$
$487$		−	445.312i		−	0.914398i	0.889364	−	0.457199i	$-0.151147\pi$
$488$	184.258	+	173.380i	0.377578	+	0.355288i
$489$	625.031	+	3.94448i	1.27818	+	0.00806642i
$490$	419.607	+	461.994i	0.856341	+	0.942844i
$491$	101.783	+	17.9471i	0.207298	+	0.0365522i	0.276333	−	0.961062i	$-0.410881\pi$
$491$	101.783	+	17.9471i	0.207298	+	0.0365522i	−0.0690348	+	0.997614i	$0.521992\pi$
$492$	65.9284	−	91.1876i	0.134001	−	0.185341i
$493$	−140.454	+	117.855i	−0.284896	+	0.239056i
$494$	131.477	−	53.7815i	0.266147	−	0.108869i
$495$	−8.93112	+	707.572i	−0.0180427	+	1.42944i
$496$	−247.401	−	446.516i	−0.498792	−	0.900234i
$497$	−144.990	−	822.278i	−0.291730	−	1.65448i
$498$	−106.275	−	118.505i	−0.213404	−	0.237961i
$499$	−41.0219	−	112.707i	−0.0822082	−	0.225865i	0.891778	−	0.452474i	$-0.149458\pi$
$499$	−41.0219	−	112.707i	−0.0822082	−	0.225865i	−0.973986	+	0.226609i	$0.927236\pi$
$500$	−281.559	+	22.1332i	−0.563118	+	0.0442663i
$501$	95.3517	−	521.500i	0.190323	−	1.04092i
$502$	−519.392	+	20.3831i	−1.03464	+	0.0406037i
$503$	−169.804	−	98.0363i	−0.337582	−	0.194903i	0.321620	−	0.946869i	$-0.395773\pi$
$503$	−169.804	−	98.0363i	−0.337582	−	0.194903i	−0.659202	+	0.751966i	$0.729106\pi$
$504$	497.978	−	516.013i	0.988052	−	1.02383i
$505$	394.235	+	682.835i	0.780664	+	1.35215i
$506$	−221.348	+	139.646i	−0.437448	+	0.275981i
$507$	−3.46358	−	4.18103i	−0.00683151	−	0.00824661i
$508$	−191.239	−	91.2378i	−0.376454	−	0.179602i
$509$	−97.5661	−	81.8677i	−0.191682	−	0.160840i	0.541896	−	0.840446i	$-0.317707\pi$
$509$	−97.5661	−	81.8677i	−0.191682	−	0.160840i	−0.733578	+	0.679605i	$0.762151\pi$
$510$	−636.643	+	255.746i	−1.24832	+	0.501462i
$511$	−312.878	+	859.625i	−0.612286	+	1.68224i
$512$	177.013	+	480.427i	0.345729	+	0.938334i
$513$	71.7107	+	129.822i	0.139787	+	0.253064i
$514$	23.1198	+	3.14755i	0.0449802	+	0.00612364i
$515$	−327.955	+	901.050i	−0.636807	+	1.74961i
$516$	−574.364	+	557.243i	−1.11311	+	1.07993i
$517$	−295.644	−	248.075i	−0.571846	−	0.479835i
$518$	−1087.49	−	348.162i	−2.09939	−	0.672128i
$519$	91.3820	−	15.5191i	0.176073	−	0.0299020i
$520$	615.760	−	185.230i	1.18415	−	0.356212i
$521$	115.430	+	199.931i	0.221555	+	0.383745i	0.955280	−	0.295701i	$-0.0955533\pi$
$521$	115.430	+	199.931i	0.221555	+	0.383745i	−0.733725	+	0.679447i	$0.762220\pi$
$522$	118.938	+	134.320i	0.227850	+	0.257319i
$523$	466.660	+	269.426i	0.892275	+	0.515155i	0.874686	−	0.484690i	$-0.161068\pi$
$523$	466.660	+	269.426i	0.892275	+	0.515155i	0.0175889	+	0.999845i	$0.494401\pi$
$524$	−585.892	−	56.4693i	−1.11811	−	0.107766i
$525$	−383.895	+	136.989i	−0.731229	+	0.260932i
$526$	3.05800	+	14.0874i	0.00581369	+	0.0267822i
$527$	−200.728	−	551.497i	−0.380889	−	1.04648i
$528$	595.204	+	119.713i	1.12728	+	0.226728i
$529$	73.2730	+	415.552i	0.138512	+	0.785543i
$530$	451.817	−	583.475i	0.852486	−	1.10090i
$531$	918.813	+	173.996i	1.73035	+	0.327677i
$532$	54.7735	+	211.874i	0.102958	+	0.398259i
$533$	−92.8806	+	77.9361i	−0.174260	+	0.146221i
$534$	−639.146	+	21.0440i	−1.19690	+	0.0394082i
$535$	153.297	+	27.0304i	0.286536	+	0.0505240i
$536$	707.147	−	356.309i	1.31930	−	0.664756i
$537$	−230.732	+	393.878i	−0.429669	+	0.733479i
$538$	647.970	+	340.952i	1.20441	+	0.633739i
$539$		−	634.946i		−	1.17801i
$540$	266.734	+	616.091i	0.493952	+	1.14091i
$541$	−667.433			−1.23370			−0.616851	−	0.787080i	$-0.711592\pi$
$541$	−667.433			−1.23370			−0.616851	+	0.787080i	$0.711592\pi$
$542$	305.883	−	581.324i	0.564360	−	1.07255i
$543$	−179.004	+	101.848i	−0.329658	+	0.187564i
$544$	114.706	+	577.360i	0.210857	+	1.06132i
$545$	1.76115	−	9.98795i	0.00323146	−	0.0183265i
$546$	−656.103	+	408.163i	−1.20165	+	0.747550i
$547$	−275.089	−	327.838i	−0.502905	−	0.599338i	0.453546	−	0.891233i	$-0.350159\pi$
$547$	−275.089	−	327.838i	−0.502905	−	0.599338i	−0.956450	+	0.291895i	$0.905714\pi$
$548$	−176.985	−	684.608i	−0.322964	−	1.24928i
$549$	220.332	−	180.191i	0.401333	−	0.328217i
$550$	−272.847	−	211.281i	−0.496085	−	0.384146i
$551$	−53.9184	+	9.50726i	−0.0978555	+	0.0172546i
$552$	−137.478	+	206.769i	−0.249055	+	0.374581i
$553$	709.133	−	258.103i	1.28234	−	0.466733i
$554$	−943.325	+	204.771i	−1.70275	+	0.369622i
$555$	692.291	−	814.545i	1.24737	−	1.46765i
$556$	−302.826	−	29.1869i	−0.544650	−	0.0524943i
$557$	−243.131	+	421.115i	−0.436501	+	0.756042i	−0.997417	−	0.0718308i	$-0.977116\pi$
$557$	−243.131	+	421.115i	−0.436501	+	0.756042i	0.560916	+	0.827873i	$0.310449\pi$
$558$	−534.234	+	210.701i	−0.957409	+	0.377601i
$559$	746.767	−	431.146i	1.33590	−	0.771281i
$560$	154.786	+	978.441i	0.276403	+	1.74722i
$561$	654.393	+	242.867i	1.16648	+	0.432918i
$562$	185.509	−	579.439i	0.330088	−	1.03103i
$563$	−122.684	+	146.209i	−0.217911	+	0.259696i	−0.863915	−	0.503638i	$-0.831995\pi$
$563$	−122.684	+	146.209i	−0.217911	+	0.259696i	0.646004	+	0.763334i	$0.276439\pi$
$564$	−352.201	−	100.107i	−0.624470	−	0.177494i
$565$	197.066	+	71.7261i	0.348789	+	0.126949i
$566$	−48.6740	+	357.527i	−0.0859964	+	0.631673i
$567$	−502.806	−	630.900i	−0.886784	−	1.11270i
$568$	264.823	−	616.159i	0.466239	−	1.08479i
$569$	−166.587	−	60.6327i	−0.292772	−	0.106560i	0.191459	−	0.981501i	$-0.438678\pi$
$569$	−166.587	−	60.6327i	−0.292772	−	0.106560i	−0.484230	+	0.874940i	$0.660900\pi$
$570$	−202.824	−	28.9174i	−0.355831	−	0.0507323i
$571$	583.706	−	695.633i	1.02225	−	1.21827i	0.0466070	−	0.998913i	$-0.485159\pi$
$571$	583.706	−	695.633i	1.02225	−	1.21827i	0.975644	−	0.219358i	$-0.0703964\pi$
$572$	−590.432	−	281.688i	−1.03222	−	0.492462i
$573$	396.665	+	147.216i	0.692260	+	0.256921i
$574$	−99.6659	−	157.977i	−0.173634	−	0.275221i
$575$	122.225	−	70.5668i	0.212566	−	0.122725i
$576$	561.773	−	127.230i	0.975300	−	0.220886i
$577$	−327.002	+	566.384i	−0.566728	+	0.981602i	0.430158	+	0.902753i	$0.358458\pi$
$577$	−327.002	+	566.384i	−0.566728	+	0.981602i	−0.996887	+	0.0788486i	$0.974876\pi$
$578$	3.87288	+	98.6869i	0.00670049	+	0.170739i
$579$	−409.730	+	482.086i	−0.707652	+	0.832619i
$580$	−247.073	+	19.4222i	−0.425987	+	0.0334866i
$581$	−248.298	+	90.3731i	−0.427363	+	0.155548i
$582$	2.10111	+	0.687327i	0.00361016	+	0.00118097i
$583$	−739.369	+	130.371i	−1.26822	+	0.223621i
$584$	−588.807	+	439.557i	−1.00823	+	0.752666i
$585$	−116.615	−	713.933i	−0.199341	−	1.22040i
$586$	−68.1650	−	166.639i	−0.116323	−	0.284367i
$587$	531.514	+	633.433i	0.905475	+	1.07910i	0.996528	+	0.0832570i	$0.0265322\pi$
$587$	531.514	+	633.433i	0.905475	+	1.07910i	−0.0910532	+	0.995846i	$0.529023\pi$
$588$	−246.295	−	549.746i	−0.418869	−	0.934942i
$589$	30.4322	−	172.590i	0.0516676	−	0.293022i
$590$	−956.248	+	868.514i	−1.62076	+	1.47206i
$591$	−152.282	+	86.6431i	−0.257668	+	0.146604i
$592$	−577.060	−	712.877i	−0.974763	−	1.20418i
$593$	−612.406			−1.03273			−0.516363	−	0.856370i	$-0.672714\pi$
$593$	−612.406			−1.03273			−0.516363	+	0.856370i	$0.672714\pi$
$594$	220.533	−	646.430i	0.371268	−	1.08827i
$595$			1138.90i			1.91412i
$596$	−97.7602	−	69.7452i	−0.164027	−	0.117022i
$597$	−76.1277	+	129.956i	−0.127517	+	0.217682i
$598$	198.053	−	179.882i	0.331192	−	0.300806i
$599$	332.336	+	58.5998i	0.554818	+	0.0978295i	0.444026	−	0.896014i	$-0.353550\pi$
$599$	332.336	+	58.5998i	0.554818	+	0.0978295i	0.110793	+	0.993844i	$0.464661\pi$
$600$	−318.190	−	77.0928i	−0.530317	−	0.128488i
$601$	690.482	−	579.383i	1.14889	−	0.964032i	0.149195	−	0.988808i	$-0.452332\pi$
$601$	690.482	−	579.383i	1.14889	−	0.964032i	0.999693	+	0.0247762i	$0.00788733\pi$
$602$	502.947	+	1229.53i	0.835460	+	2.04240i
$603$	−294.089	−	840.877i	−0.487711	−	1.39449i
$604$	−233.954	−	238.117i	−0.387341	−	0.394234i
$605$	42.0785	+	238.639i	0.0695513	+	0.394445i
$606$	−156.746	−	744.727i	−0.258656	−	1.22892i
$607$	−120.427	−	330.870i	−0.198397	−	0.545091i	0.800102	−	0.599864i	$-0.204779\pi$
$607$	−120.427	−	330.870i	−0.198397	−	0.545091i	−0.998499	+	0.0547728i	$0.982557\pi$
$608$	−56.5396	+	166.435i	−0.0929927	+	0.273741i
$609$	280.495	−	100.092i	0.460583	−	0.164354i
$610$	15.4183	+	392.883i	0.0252760	+	0.644070i
$611$	341.677	+	197.267i	0.559210	+	0.322860i
$612$	660.791	−	43.5605i	1.07972	−	0.0711772i
$613$	166.058	+	287.621i	0.270894	+	0.469203i	0.969091	−	0.246703i	$-0.0793473\pi$
$613$	166.058	+	287.621i	0.270894	+	0.469203i	−0.698197	+	0.715906i	$0.746014\pi$
$614$	296.253	+	469.580i	0.482497	+	0.764789i
$615$	172.401	−	29.2784i	0.280327	−	0.0476071i
$616$	552.694	−	842.745i	0.897230	−	1.36809i
$617$	−95.0693	−	79.7727i	−0.154083	−	0.129291i	0.562487	−	0.826806i	$-0.309845\pi$
$617$	−95.0693	−	79.7727i	−0.154083	−	0.129291i	−0.716570	+	0.697515i	$0.754289\pi$
$618$	571.262	−	728.185i	0.924372	−	1.17829i
$619$	−278.295	+	764.608i	−0.449588	+	1.23523i	0.483424	+	0.875386i	$0.339393\pi$
$619$	−278.295	+	764.608i	−0.449588	+	1.23523i	−0.933012	+	0.359845i	$0.882829\pi$
$620$	212.072	−	764.434i	0.342052	−	1.23296i
$621$	210.549	+	183.575i	0.339048	+	0.295611i
$622$	−6.53051	+	47.9688i	−0.0104992	+	0.0771202i
$623$	−363.070	+	997.528i	−0.582778	+	1.60117i
$624$	−620.472	−	14.8617i	−0.994346	−	0.0238168i
$625$	−597.474	−	501.340i	−0.955958	−	0.802144i
$626$	98.2168	−	306.781i	0.156896	−	0.490065i
$627$	132.968	+	160.511i	0.212070	+	0.255999i
$628$	212.652	−	96.8874i	0.338618	−	0.154279i
$629$	−527.231	−	913.191i	−0.838205	−	1.45181i
$630$	1114.04	−	29.6432i	1.76832	−	0.0470527i
$631$	−14.4536	−	8.34478i	−0.0229058	−	0.0132247i	0.488503	−	0.872562i	$-0.337543\pi$
$631$	−14.4536	−	8.34478i	−0.0229058	−	0.0132247i	−0.511409	+	0.859337i	$0.670876\pi$
$632$	589.990	+	139.010i	0.933529	+	0.219953i
$633$	109.386	−	598.255i	0.172805	−	0.945110i
$634$	−416.342	+	90.3768i	−0.656692	+	0.142550i
$635$	−112.623	−	309.428i	−0.177358	−	0.487288i
$636$	−589.587	+	399.678i	−0.927023	+	0.628424i
$637$	112.714	+	639.231i	0.176945	+	1.00350i
$638$	199.357	+	154.373i	0.312472	+	0.241964i
$639$	−648.596	−	385.463i	−1.01502	−	0.603228i
$640$	−327.033	+	725.363i	−0.510989	+	1.13338i
$641$	−280.593	+	235.446i	−0.437743	+	0.367310i	−0.834864	−	0.550456i	$-0.814454\pi$
$641$	−280.593	+	235.446i	−0.437743	+	0.367310i	0.397121	+	0.917766i	$0.370009\pi$
$642$	−132.519	−	70.8010i	−0.206416	−	0.110282i
$643$	62.1787	+	10.9638i	0.0967010	+	0.0170510i	0.221789	−	0.975095i	$-0.428810\pi$
$643$	62.1787	+	10.9638i	0.0967010	+	0.0170510i	−0.125088	+	0.992146i	$0.539921\pi$
$644$	233.428	+	339.707i	0.362466	+	0.527495i
$645$	−1243.62	−	7.84833i	−1.92810	−	0.0121679i
$646$	−94.1039	+	178.842i	−0.145672	+	0.276845i
$647$		−	451.741i		−	0.698209i	−0.937084	−	0.349105i	$-0.886486\pi$
$647$		−	451.741i		−	0.698209i	0.937084	−	0.349105i	$-0.113514\pi$
$648$	−59.8087	−	645.234i	−0.0922974	−	0.995731i
$649$	1314.23			2.02501
$650$	312.194	+	164.272i	0.480299	+	0.252726i
$651$	−6.01603	+	953.282i	−0.00924121	+	1.46434i
$652$	686.863	−	471.975i	1.05347	−	0.723888i
$653$	−70.8989	+	402.088i	−0.108574	+	0.615755i	0.881158	+	0.472822i	$0.156764\pi$
$653$	−70.8989	+	402.088i	−0.108574	+	0.615755i	−0.989732	+	0.142933i	$0.954347\pi$
$654$	−4.61299	+	8.63421i	−0.00705351	+	0.0132022i
$655$	−587.977	−	700.723i	−0.897675	−	1.06981i
$656$	2.64597	−	150.009i	0.00403350	−	0.228673i
$657$	404.246	+	721.041i	0.615291	+	1.09748i
$658$	−372.132	+	480.569i	−0.565549	+	0.730348i
$659$	45.3803	−	8.00177i	0.0688624	−	0.0121423i	−0.139111	−	0.990277i	$-0.544424\pi$
$659$	45.3803	−	8.00177i	0.0688624	−	0.0121423i	0.207973	+	0.978135i	$0.433313\pi$
$660$	529.417	+	780.972i	0.802147	+	1.18329i
$661$	−731.802	+	266.354i	−1.10711	+	0.402956i	−0.829934	−	0.557862i	$-0.811622\pi$
$661$	−731.802	+	266.354i	−1.10711	+	0.402956i	−0.277179	+	0.960818i	$0.589400\pi$
$662$	−116.928	−	538.657i	−0.176629	−	0.813682i
$663$	−701.923	−	128.340i	−1.05871	−	0.193575i
$664$	−206.581	−	48.6734i	−0.311116	−	0.0733033i
$665$	−170.044	+	294.525i	−0.255706	+	0.442895i
$666$	−879.535	+	539.491i	−1.32062	+	0.810047i
$667$	−89.3046	+	51.5600i	−0.133890	+	0.0773014i
$668$	−293.071	−	643.242i	−0.438729	−	0.962938i
$669$	−538.233	+	445.874i	−0.804534	+	0.666478i
$670$	1171.97	+	375.210i	1.74921	+	0.560015i
$671$	257.124	−	306.429i	0.383196	−	0.456675i
$672$	151.630	−	944.051i	0.225641	−	1.40484i
$673$	1050.31	+	382.282i	1.56064	+	0.568027i	0.970883	−	0.239554i	$-0.0770012\pi$
$673$	1050.31	+	382.282i	1.56064	+	0.568027i	0.589757	+	0.807581i	$0.299223\pi$
$674$	125.870	+	17.1360i	0.186751	+	0.0254244i
$675$	−132.503	+	343.662i	−0.196301	+	0.509128i
$676$	−6.97562	−	1.93520i	−0.0103190	−	0.00286272i
$677$	326.547	+	118.853i	0.482344	+	0.175559i	0.571736	−	0.820438i	$-0.306270\pi$
$677$	326.547	+	118.853i	0.482344	+	0.175559i	−0.0893920	+	0.995997i	$0.528492\pi$
$678$	−159.259	−	124.939i	−0.234895	−	0.184276i
$679$	2.35883	−	2.81115i	0.00347398	−	0.00414013i
$680$	−501.677	+	764.955i	−0.737761	+	1.12493i
$681$	113.905	+	670.710i	0.167261	+	0.984890i
$682$	−682.594	+	430.641i	−1.00087	+	0.631438i
$683$	1169.82	−	675.394i	1.71276	−	0.988863i	0.781967	−	0.623319i	$-0.214216\pi$
$683$	1169.82	−	675.394i	1.71276	−	0.988863i	0.930794	−	0.365544i	$-0.119117\pi$
$684$	177.388	+	87.3950i	0.259339	+	0.127770i
$685$	549.448	−	951.673i	0.802115	−	1.38930i
$686$	−23.8796	+	0.937134i	−0.0348099	+	0.00136608i
$687$	445.737	+	1249.12i	0.648816	+	1.81823i
$688$	−203.788	+	1047.37i	−0.296203	+	1.52234i
$689$	721.217	−	262.501i	1.04676	−	0.380989i
$690$	−377.602	+	79.4753i	−0.547249	+	0.115182i
$691$	116.321	−	20.5106i	0.168338	−	0.0296824i	−0.0888440	−	0.996046i	$-0.528317\pi$
$691$	116.321	−	20.5106i	0.168338	−	0.0296824i	0.257182	+	0.966363i	$0.417206\pi$
$692$	88.1566	−	86.6154i	0.127394	−	0.125167i
$693$	−859.267	−	739.691i	−1.23992	−	1.06738i
$694$	275.381	−	112.647i	0.396803	−	0.162315i
$695$	−303.903	−	362.178i	−0.437271	−	0.521119i
$696$	232.488	+	56.3283i	0.334034	+	0.0809315i
$697$	29.9529	−	169.871i	0.0429740	−	0.243718i
$698$	40.1243	+	44.1775i	0.0574847	+	0.0632916i
$699$	94.4566	+	55.3323i	0.135131	+	0.0791592i
$700$	−315.637	+	442.421i	−0.450910	+	0.632030i
$701$	1114.27			1.58954			0.794772	−	0.606908i	$-0.207590\pi$
$701$	1114.27			1.58954			0.794772	+	0.606908i	$0.207590\pi$
$702$	−107.270	+	689.942i	−0.152806	+	0.982823i
$703$		−	314.874i		−	0.447901i
$704$	742.447	−	322.582i	1.05461	−	0.458213i
$705$	−281.395	−	494.572i	−0.399142	−	0.701521i
$706$	446.565	+	491.675i	0.632528	+	0.696423i
$707$	−1244.13	−	219.373i	−1.75973	−	0.310287i
$708$	1137.88	−	509.789i	1.60717	−	0.720040i
$709$	−239.174	+	200.691i	−0.337340	+	0.283062i	−0.795683	−	0.605714i	$-0.792888\pi$
$709$	−239.174	+	200.691i	−0.337340	+	0.283062i	0.458343	+	0.888776i	$0.348443\pi$
$710$	964.656	−	394.600i	1.35867	−	0.555774i
$711$	241.297	−	637.794i	0.339377	−	0.897039i
$712$	−683.264	+	510.071i	−0.959641	+	0.716392i
$713$	−57.3181	−	325.067i	−0.0803900	−	0.455915i
$714$	341.781	−	1044.80i	0.478684	−	1.46331i
$715$	−347.712	−	955.331i	−0.486310	−	1.33613i
$716$	47.6980	+	606.773i	0.0666173	+	0.847448i
$717$	−78.8966	−	67.0551i	−0.110037	−	0.0935217i
$718$	182.398	−	7.15806i	0.254036	−	0.00996944i
$719$	−787.372	−	454.590i	−1.09509	−	0.632253i	−0.160166	−	0.987090i	$-0.551203\pi$
$719$	−787.372	−	454.590i	−1.09509	−	0.632253i	−0.934928	+	0.354838i	$0.884536\pi$
$720$	761.316	+	470.817i	1.05738	+	0.653912i
$721$	−768.177	−	1330.52i	−1.06543	−	1.84538i
$722$	559.595	−	353.042i	0.775063	−	0.488978i
$723$	63.0320	−	169.837i	0.0871813	−	0.234905i
$724$	−118.241	+	247.839i	−0.163317	+	0.342320i
$725$	−104.158	−	87.3988i	−0.143666	−	0.120550i
$726$	33.0130	−	231.550i	0.0454725	−	0.318939i
$727$	−101.316	+	278.362i	−0.139361	+	0.382892i	−0.989665	−	0.143401i	$-0.954196\pi$
$727$	−101.316	+	278.362i	−0.139361	+	0.382892i	0.850304	+	0.526293i	$0.176418\pi$
$728$	−406.823	+	946.546i	−0.558822	+	1.30020i
$729$	−728.477	−	27.5967i	−0.999283	−	0.0378556i
$730$	−1131.46	−	154.037i	−1.54994	−	0.211010i
$731$	−419.570	+	1152.76i	−0.573967	+	1.57696i
$732$	103.759	−	365.049i	0.141747	−	0.498701i
$733$	834.756	+	700.443i	1.13882	+	0.955584i	0.999400	−	0.0346489i	$-0.0110313\pi$
$733$	834.756	+	700.443i	1.13882	+	0.955584i	0.139421	+	0.990233i	$0.455476\pi$
$734$	895.857	+	286.811i	1.22051	+	0.390751i
$735$	325.730	−	877.663i	0.443171	−	1.19410i
$736$	7.14625	+	330.991i	0.00970958	+	0.449717i
$737$	−625.970	−	1084.21i	−0.849349	−	1.47112i
$738$	−166.943	−	24.8777i	−0.226210	−	0.0337096i
$739$	477.169	+	275.493i	0.645695	+	0.372792i	0.786805	−	0.617202i	$-0.211734\pi$
$739$	477.169	+	275.493i	0.645695	+	0.372792i	−0.141110	+	0.989994i	$0.545067\pi$
$740$	136.742	−	1418.75i	0.184786	−	1.91723i
$741$	−162.359	−	137.991i	−0.219108	−	0.186222i
$742$	250.823	+	1155.48i	0.338037	+	1.55725i
$743$	46.7934	+	128.564i	0.0629789	+	0.173033i	0.967191	−	0.254051i	$-0.0817631\pi$
$743$	46.7934	+	128.564i	0.0629789	+	0.173033i	−0.904212	+	0.427084i	$0.859541\pi$
$744$	−423.955	+	637.633i	−0.569832	+	0.857034i
$745$	−32.4072	−	183.790i	−0.0434996	−	0.246699i
$746$	726.833	−	938.629i	0.974307	−	1.25822i
$747$	−84.4885	+	223.319i	−0.113104	+	0.298955i
$748$	901.054	−	232.940i	1.20462	−	0.311417i
$749$	−191.057	+	160.316i	−0.255083	+	0.214040i
$750$	223.779	+	359.715i	0.298372	+	0.479620i
$751$	338.822	+	59.7435i	0.451161	+	0.0795519i	0.394612	−	0.918848i	$-0.370879\pi$
$751$	338.822	+	59.7435i	0.451161	+	0.0795519i	0.0565493	+	0.998400i	$0.481990\pi$
$752$	−461.634	+	158.858i	−0.613875	+	0.211248i
$753$	385.575	+	677.676i	0.512051	+	0.899968i
$754$	−228.106	−	120.026i	−0.302528	−	0.159186i
$755$		−	518.772i		−	0.687115i
$756$	−1030.89	−	307.126i	−1.36361	−	0.406252i
$757$	−129.269			−0.170764			−0.0853822	−	0.996348i	$-0.527211\pi$
$757$	−129.269			−0.170764			−0.0853822	+	0.996348i	$0.527211\pi$
$758$	176.024	−	334.529i	0.232221	−	0.441330i
$759$	338.736	+	198.430i	0.446292	+	0.261436i
$760$	−243.949	+	122.918i	−0.320985	+	0.161734i
$761$	10.9793	−	62.2667i	0.0144275	−	0.0818222i	−0.976744	−	0.214409i	$-0.931217\pi$
$761$	10.9793	−	62.2667i	0.0144275	−	0.0818222i	0.991171	+	0.132587i	$0.0423284\pi$
$762$	10.4590	+	317.660i	0.0137257	+	0.416877i
$763$	10.4453	+	12.4482i	0.0136898	+	0.0163148i
$764$	546.181	−	141.198i	0.714896	−	0.184815i
$765$	779.952	+	671.413i	1.01955	+	0.877665i
$766$	−378.832	−	293.351i	−0.494559	−	0.382965i
$767$	−1323.10	+	233.298i	−1.72503	+	0.304170i
$768$	517.692	−	567.291i	0.674078	−	0.738660i
$769$	619.885	−	225.620i	0.806093	−	0.293394i	0.0940839	−	0.995564i	$-0.470008\pi$
$769$	619.885	−	225.620i	0.806093	−	0.293394i	0.712009	+	0.702171i	$0.247786\pi$
$770$	1530.56	−	332.243i	1.98774	−	0.431484i
$771$	−11.7628	−	32.9638i	−0.0152565	−	0.0427546i
$772$	−80.9302	+	839.685i	−0.104832	+	1.08767i
$773$	209.472	−	362.815i	0.270985	−	0.469360i	−0.698129	−	0.715972i	$-0.745984\pi$
$773$	209.472	−	362.815i	0.270985	−	0.469360i	0.969114	+	0.246612i	$0.0793172\pi$
$774$	1138.52	+	380.408i	1.47095	+	0.491483i
$775$	376.918	−	217.614i	0.486346	−	0.280792i
$776$	2.82263	−	0.849090i	0.00363741	−	0.00109419i
$777$	286.772	+	1688.61i	0.369076	+	2.17325i
$778$	422.964	−	1321.13i	0.543655	−	1.69811i
$779$	33.1088	−	39.4575i	0.0425016	−	0.0506515i
$780$	−671.626	−	692.263i	−0.861060	−	0.887516i
$781$	−996.399	−	362.660i	−1.27580	−	0.464353i
$782$	−51.3454	+	377.149i	−0.0656591	+	0.482288i
$783$	96.8140	−	251.098i	0.123645	−	0.320688i
$784$	−688.397	−	413.803i	−0.878057	−	0.527809i
$785$	341.256	+	124.207i	0.434722	+	0.158226i
$786$	329.112	+	819.278i	0.418717	+	1.04234i
$787$	−241.959	+	288.355i	−0.307444	+	0.366398i	−0.897538	−	0.440937i	$-0.854646\pi$
$787$	−241.959	+	288.355i	−0.307444	+	0.366398i	0.590094	+	0.807335i	$0.299091\pi$
$788$	−100.590	+	210.841i	−0.127652	+	0.267564i
$789$	16.6518	−	13.7943i	0.0211049	−	0.0174833i
$790$	502.620	+	796.686i	0.636228	+	1.00846i
$791$	−290.994	+	168.006i	−0.367882	+	0.212397i
$792$	−251.308	−	875.323i	−0.317308	−	1.10521i
$793$	−204.463	+	354.141i	−0.257835	+	0.446584i
$794$	2.36473	+	60.2570i	0.00297825	+	0.0758904i
$795$	−1088.89	−	199.093i	−1.36967	−	0.250432i
$796$	15.7375	+	200.199i	0.0197707	+	0.251506i
$797$	182.846	−	66.5506i	0.229418	−	0.0835014i	−0.224753	−	0.974416i	$-0.572158\pi$
$797$	182.846	−	66.5506i	0.229418	−	0.0835014i	0.454171	+	0.890914i	$0.349935\pi$
$798$	244.381	−	219.161i	0.306242	−	0.274638i
$799$	−552.758	+	97.4661i	−0.691812	+	0.121985i
$800$	−406.884	+	158.121i	−0.508605	+	0.197651i
$801$	469.096	+	836.712i	0.585638	+	1.04458i
$802$	−382.155	−	934.234i	−0.476503	−	1.16488i
$803$	746.743	+	889.934i	0.929941	+	1.10826i
$804$	−962.540	−	695.914i	−1.19719	−	0.865565i
$805$	−111.230	+	630.814i	−0.138173	+	0.783620i
$806$	610.755	−	554.720i	0.757760	−	0.688238i
$807$	6.93105	−	1098.27i	0.00858867	−	1.36094i
$808$	−739.000	−	695.374i	−0.914604	−	0.860611i
$809$	−827.854			−1.02331			−0.511653	−	0.859192i	$-0.670967\pi$
$809$	−827.854			−1.02331			−0.511653	+	0.859192i	$0.670967\pi$
$810$	636.458	−	780.403i	0.785750	−	0.963461i
$811$		−	336.494i		−	0.414912i	−0.978244	−	0.207456i	$-0.933482\pi$
$811$		−	336.494i		−	0.414912i	0.978244	−	0.207456i	$-0.0665184\pi$
$812$	230.622	−	323.257i	0.284017	−	0.398100i
$813$	−985.312	−	6.21816i	−1.21195	−	0.00764842i
$814$	−1073.42	+	974.939i	−1.31870	+	1.19771i
$815$	1275.46	+	224.898i	1.56498	+	0.275949i
$816$	689.789	−	551.201i	0.845329	−	0.675492i
$817$	−280.616	+	235.465i	−0.343472	+	0.288207i
$818$	415.914	+	1016.76i	0.508453	+	1.24299i
$819$	996.375	+	592.149i	1.21657	+	0.723015i
$820$	166.316	−	163.408i	0.202824	−	0.199278i
$821$	−91.5458	−	519.182i	−0.111505	−	0.632378i	−0.988421	−	0.151734i	$-0.951514\pi$
$821$	−91.5458	−	519.182i	−0.111505	−	0.632378i	0.876916	−	0.480643i	$-0.159597\pi$
$822$	−789.646	+	708.155i	−0.960640	+	0.861503i
$823$	468.713	+	1287.78i	0.569518	+	1.56474i	0.805259	+	0.592923i	$0.202026\pi$
$823$	468.713	+	1287.78i	0.569518	+	1.56474i	−0.235741	+	0.971816i	$0.575752\pi$
$824$	70.1303	−	1232.04i	0.0851096	−	1.49519i
$825$	−93.1007	+	509.189i	−0.112849	+	0.617198i
$826$	−81.1636	−	2068.17i	−0.0982610	−	2.50384i
$827$	−805.110	−	464.831i	−0.973531	−	0.562068i	−0.0732202	−	0.997316i	$-0.523328\pi$
$827$	−805.110	−	464.831i	−0.973531	−	0.562068i	−0.900311	+	0.435247i	$0.856661\pi$
$828$	370.254	+	40.4083i	0.447166	+	0.0488022i
$829$	122.105	+	211.492i	0.147292	+	0.255117i	0.930226	−	0.366988i	$-0.119611\pi$
$829$	122.105	+	211.492i	0.147292	+	0.255117i	−0.782934	+	0.622105i	$0.786278\pi$
$830$	−175.989	−	278.954i	−0.212035	−	0.336089i
$831$	923.701	+	1115.04i	1.11155	+	1.34180i
$832$	−690.194	+	456.556i	−0.829560	+	0.548745i
$833$	−707.389	−	593.570i	−0.849207	−	0.712569i
$834$	170.105	+	423.454i	0.203963	+	0.507739i
$835$	375.710	−	1032.25i	0.449952	−	1.23623i
$836$	267.796	+	74.2930i	0.320331	+	0.0888672i
$837$	649.289	+	566.107i	0.775734	+	0.676352i
$838$	213.076	−	1565.11i	0.254267	−	1.86768i
$839$	395.210	−	1085.83i	0.471048	−	1.29419i	−0.445862	−	0.895102i	$-0.647103\pi$
$839$	395.210	−	1085.83i	0.471048	−	1.29419i	0.916910	−	0.399093i	$-0.130675\pi$
$840$	1196.30	−	881.363i	1.42417	−	1.04924i
$841$	−568.140	−	476.726i	−0.675553	−	0.566856i
$842$	−315.252	+	984.691i	−0.374408	+	1.16947i
$843$	−899.733	+	152.799i	−1.06730	+	0.181256i
$844$	−336.206	−	737.915i	−0.398348	−	0.874307i
$845$	−5.62497	−	9.74274i	−0.00665677	−	0.0115299i
$846$	109.726	+	538.156i	0.129700	+	0.636118i
$847$	−336.240	−	194.128i	−0.396977	−	0.229195i
$848$	−340.511	+	886.575i	−0.401546	+	1.04549i
$849$	509.755	−	181.901i	0.600418	−	0.214253i
$850$	−490.453	+	106.464i	−0.577004	+	0.125252i
$851$	−202.837	−	557.290i	−0.238351	−	0.654865i
$852$	−1003.37	+	72.5063i	−1.17767	+	0.0851013i
$853$	−156.005	−	884.751i	−0.182890	−	1.03722i	−0.928636	−	0.370992i	$-0.879018\pi$
$853$	−156.005	−	884.751i	−0.182890	−	1.03722i	0.745746	−	0.666231i	$-0.232093\pi$
$854$	−498.099	−	385.706i	−0.583254	−	0.451647i
$855$	101.454	+	290.082i	0.118659	+	0.339278i
$856$	−198.944	+	23.5188i	−0.232411	+	0.0274752i
$857$	−63.4074	+	53.2051i	−0.0739877	+	0.0620830i	−0.679031	−	0.734109i	$-0.737600\pi$
$857$	−63.4074	+	53.2051i	−0.0739877	+	0.0620830i	0.605044	+	0.796192i	$0.293156\pi$
$858$	32.2912	+	980.747i	0.0376354	+	1.14306i
$859$	−1149.34	−	202.660i	−1.33800	−	0.235925i	−0.541568	−	0.840657i	$-0.682169\pi$
$859$	−1149.34	−	202.660i	−1.33800	−	0.235925i	−0.796429	+	0.604731i	$0.793280\pi$
$860$	−1366.65	+	939.088i	−1.58913	+	1.09196i
$861$	−141.620	+	241.757i	−0.164483	+	0.280786i
$862$	−0.0907032	+	0.172379i	−0.000105224	+	0.000199976i
$863$			742.543i			0.860421i	0.902729	+	0.430210i	$0.141561\pi$
$863$			742.543i			0.860421i	−0.902729	+	0.430210i	$0.858439\pi$
$864$	−557.124	−	660.386i	−0.644819	−	0.764335i
$865$	192.062			0.222037
$866$	1088.38	+	572.686i	1.25679	+	0.661301i
$867$	128.762	−	73.2610i	0.148514	−	0.0844995i
$868$	719.845	+	1047.59i	0.829314	+	1.20690i
$869$	166.415	−	943.786i	0.191502	−	1.08606i
$870$	196.370	+	315.656i	0.225713	+	0.362823i
$871$	822.662	+	980.410i	0.944502	+	1.12561i
$872$	1.53235	+	12.9621i	0.00175728	+	0.0148648i
$873$	−0.534558	−	3.27265i	−0.000612323	−	0.00374874i
$874$	−69.5888	+	89.8666i	−0.0796210	+	0.102822i
$875$	692.555	−	122.116i	0.791491	−	0.139561i
$876$	991.746	+	480.857i	1.13213	+	0.548923i
$877$	1611.84	−	586.661i	1.83790	−	0.668941i	0.847484	−	0.530821i	$-0.178116\pi$
$877$	1611.84	−	586.661i	1.83790	−	0.668941i	0.990416	−	0.138120i	$-0.0441059\pi$
$878$	119.013	+	548.261i	0.135550	+	0.624443i
$879$	−174.895	+	205.781i	−0.198971	+	0.234108i
$880$	1174.37	+	451.044i	1.33451	+	0.512551i
$881$	−487.070	+	843.631i	−0.552861	+	0.957583i	0.445206	+	0.895428i	$0.353131\pi$
$881$	−487.070	+	843.631i	−0.552861	+	0.957583i	−0.998067	+	0.0621548i	$0.980203\pi$
$882$	−562.202	+	707.398i	−0.637417	+	0.802039i
$883$	−898.922	+	518.993i	−1.01803	+	0.587761i	−0.913533	−	0.406764i	$-0.866657\pi$
$883$	−898.922	+	518.993i	−1.01803	+	0.587761i	−0.104498	+	0.994525i	$0.533324\pi$
$884$	−865.784	+	394.465i	−0.979394	+	0.446227i
$885$	1816.61	+	674.206i	2.05267	+	0.761815i
$886$	−878.609	−	281.289i	−0.991658	−	0.317482i
$887$	−555.478	+	661.993i	−0.626244	+	0.746328i	−0.982131	−	0.188201i	$-0.939734\pi$
$887$	−555.478	+	661.993i	−0.626244	+	0.746328i	0.355887	+	0.934529i	$0.384179\pi$
$888$	−551.208	+	1260.50i	−0.620729	+	1.41948i
$889$	495.779	+	180.449i	0.557681	+	0.202979i
$890$	−1312.97	−	178.748i	−1.47524	−	0.200841i
$891$	−1013.12	+	152.383i	−1.13706	+	0.171025i
$892$	−249.122	+	897.986i	−0.279285	+	1.00671i
$893$	−157.498	−	57.3247i	−0.176370	−	0.0641934i
$894$	−25.4253	+	178.331i	−0.0284400	+	0.199475i
$895$	−607.993	+	724.578i	−0.679322	+	0.809584i
$896$	−553.491	−	1148.45i	−0.617736	−	1.28175i
$897$	−376.247	−	139.638i	−0.419450	−	0.155672i
$898$	−211.777	+	133.608i	−0.235832	+	0.148784i
$899$	−275.397	+	159.001i	−0.306337	+	0.176864i
$900$	116.906	+	476.977i	0.129895	+	0.529974i
$901$	−545.944	+	945.602i	−0.605931	+	1.04950i
$902$	−237.026	+	9.30190i	−0.262779	+	0.0103125i
$903$	1290.44	−	1518.33i	1.42906	−	1.68142i
$904$	−269.455	−	15.3380i	−0.298070	−	0.0169668i
$905$	−401.009	+	145.955i	−0.443104	+	0.161277i
$906$	−155.682	+	475.910i	−0.171834	+	0.525287i
$907$	−845.051	+	149.005i	−0.931699	+	0.164284i	−0.618841	−	0.785516i	$-0.712397\pi$
$907$	−845.051	+	149.005i	−0.931699	+	0.164284i	−0.312858	+	0.949800i	$0.601286\pi$
$908$	635.725	+	647.037i	0.700137	+	0.712596i
$909$	−883.681	+	722.688i	−0.972146	+	0.795037i
$910$	−1481.91	+	606.185i	−1.62847	+	0.666138i
$911$	−402.454	−	479.626i	−0.441772	−	0.526483i	0.498508	−	0.866885i	$-0.333881\pi$
$911$	−402.454	−	479.626i	−0.441772	−	0.526483i	−0.940280	+	0.340402i	$0.889437\pi$
$912$	260.680	−	39.5541i	0.285834	−	0.0433707i
$913$	−58.2691	+	330.460i	−0.0638215	+	0.361950i
$914$	395.608	+	435.570i	0.432831	+	0.476554i
$915$	512.613	−	291.660i	0.560233	−	0.318754i
$916$	1439.55	+	1027.02i	1.57157	+	1.12120i
$917$	1465.62			1.59827
$918$	−514.022	−	850.001i	−0.559936	−	0.925927i
$919$		−	1723.55i		−	1.87546i	−0.347359	−	0.937732i	$-0.612922\pi$
$919$		−	1723.55i		−	1.87546i	0.347359	−	0.937732i	$-0.387078\pi$
$920$	−352.578	+	374.698i	−0.383237	+	0.407280i
$921$	420.960	−	718.612i	0.457068	−	0.780252i
$922$	−921.596	−	1014.69i	−0.999562	−	1.10053i
$923$	1067.50	+	188.229i	1.15656	+	0.203932i
$924$	−1503.80	−	154.523i	−1.62749	−	0.167233i
$925$	599.024	−	502.641i	0.647594	−	0.543395i
$926$	−933.024	+	381.660i	−1.00759	+	0.412160i
$927$	−1364.04	−	258.310i	−1.47146	−	0.278651i
$928$	297.292	−	115.532i	0.320358	−	0.124496i
$929$	−277.746	−	1575.18i	−0.298973	−	1.69556i	−0.650601	−	0.759420i	$-0.725483\pi$
$929$	−277.746	−	1575.18i	−0.298973	−	1.69556i	0.351628	−	0.936140i	$-0.385628\pi$
$930$	−1164.45	+	245.086i	−1.25209	+	0.263533i
$931$	−94.3111	−	259.118i	−0.101301	−	0.278322i
$932$	145.511	−	11.4385i	0.156128	−	0.0122731i
$933$	68.3929	−	24.4053i	0.0733043	−	0.0261579i
$934$	1216.35	−	47.7345i	1.30230	−	0.0511076i
$935$	1252.55	+	723.162i	1.33963	+	0.773436i
$936$	408.389	+	836.620i	0.436313	+	0.893824i
$937$	−256.359	−	444.027i	−0.273596	−	0.473882i	0.696184	−	0.717863i	$-0.254880\pi$
$937$	−256.359	−	444.027i	−0.273596	−	0.473882i	−0.969780	+	0.243981i	$0.921546\pi$
$938$	−1667.54	+	1052.03i	−1.77776	+	1.12157i
$939$	−476.359	+	80.8987i	−0.507304	+	0.0861541i
$940$	−684.757	−	326.689i	−0.728465	−	0.347542i
$941$	−89.0035	−	74.6828i	−0.0945839	−	0.0793653i	0.594270	−	0.804266i	$-0.297441\pi$
$941$	−89.0035	−	74.6828i	−0.0945839	−	0.0793653i	−0.688853	+	0.724901i	$0.741886\pi$
$942$	−275.787	−	216.355i	−0.292767	−	0.229676i
$943$	33.1807	−	91.1631i	0.0351863	−	0.0966735i
$944$	856.501	−	1424.86i	0.907310	−	1.50939i
$945$	−808.270	−	1463.26i	−0.855312	−	1.54842i
$946$	1671.58	+	227.570i	1.76700	+	0.240560i
$947$	535.535	−	1471.37i	0.565507	−	1.55372i	−0.245936	−	0.969286i	$-0.579095\pi$
$947$	535.535	−	1471.37i	0.565507	−	1.55372i	0.811443	−	0.584432i	$-0.198683\pi$
$948$	−222.009	−	881.697i	−0.234187	−	0.930060i
$949$	−909.762	−	763.381i	−0.958653	−	0.804405i
$950$	−142.729	−	45.6953i	−0.150242	−	0.0481003i
$951$	407.681	+	492.129i	0.428687	+	0.517486i
$952$	−422.219	−	1403.58i	−0.443508	−	1.47435i
$953$	−21.3726	−	37.0185i	−0.0224267	−	0.0388441i	0.854594	−	0.519296i	$-0.173806\pi$
$953$	−21.3726	−	37.0185i	−0.0224267	−	0.0388441i	−0.877021	+	0.480452i	$0.840473\pi$
$954$	939.172	+	509.415i	0.984457	+	0.533978i
$955$	759.245	+	438.351i	0.795021	+	0.459006i
$956$	−137.420	−	13.2448i	−0.143745	−	0.0138544i
$957$	68.0246	−	372.042i	0.0710810	−	0.388758i
$958$	−270.464	−	1245.96i	−0.282321	−	1.30058i
$959$	602.194	+	1654.52i	0.627940	+	1.72525i
$960$	1191.74	−	65.0148i	1.24140	−	0.0677238i
$961$	−9.88151	−	56.0408i	−0.0102825	−	0.0583151i
$962$	907.600	−	1172.07i	0.943451	−	1.21837i
$963$	−2.84445	+	225.353i	−0.00295374	+	0.234011i
$964$	−60.4556	−	233.853i	−0.0627133	−	0.242586i
$965$	−1004.26	+	842.672i	−1.04068	+	0.873235i
$966$	291.345	−	545.316i	0.301600	−	0.564509i
$967$	1664.01	+	293.409i	1.72079	+	0.303422i	0.944879	−	0.327418i	$-0.106179\pi$
$967$	1664.01	+	293.409i	1.72079	+	0.303422i	0.775913	+	0.630840i	$0.217290\pi$
$968$	−140.327	−	278.500i	−0.144966	−	0.287706i
$969$	303.128	+	1.91300i	0.312825	+	0.00197420i
$970$	4.05376	+	2.13302i	0.00417913	+	0.00219899i
$971$		−	464.981i		−	0.478868i	−0.970913	−	0.239434i	$-0.923038\pi$
$971$		−	464.981i		−	0.478868i	0.970913	−	0.239434i	$-0.0769619\pi$
$972$	−818.069	+	524.926i	−0.841635	+	0.540047i
$973$	757.523			0.778544
$974$	−414.723	+	788.172i	−0.425794	+	0.809211i
$975$	3.33940	−	529.152i	0.00342503	−	0.542720i
$976$	−164.653	−	478.473i	−0.168702	−	0.490239i
$977$	−41.6069	+	235.964i	−0.0425864	+	0.241519i	−0.998669	−	0.0515781i	$-0.983575\pi$
$977$	−41.6069	+	235.964i	−0.0425864	+	0.241519i	0.956083	+	0.293097i	$0.0946860\pi$
$978$	−1102.59	−	589.079i	−1.12739	−	0.602330i
$979$	866.537	+	1032.70i	0.885124	+	1.05485i
$980$	−312.416	−	1208.48i	−0.318792	−	1.23314i
$981$	14.6827	+	0.185328i	0.0149671	+	0.000188918i
$982$	−163.435	−	126.557i	−0.166431	−	0.128877i
$983$	−1749.35	+	308.457i	−1.77960	+	0.313792i	−0.964215	−	0.265123i	$-0.914587\pi$
$983$	−1749.35	+	308.457i	−1.77960	+	0.313792i	−0.815388	+	0.578915i	$0.803476\pi$
$984$	−201.613	+	99.9961i	−0.204891	+	0.101622i
$985$	−341.144	+	124.166i	−0.346339	+	0.126057i
$986$	358.352	−	77.7887i	0.363441	−	0.0788932i
$987$	896.841	+	163.980i	0.908654	+	0.166139i
$988$	−282.792	−	27.2560i	−0.286227	−	0.0275870i
$989$	−344.975	+	597.513i	−0.348811	+	0.604159i
$990$	674.776	−	1244.04i	0.681592	−	1.25660i
$991$	276.834	−	159.830i	0.279348	−	0.161282i	−0.353780	−	0.935329i	$-0.615104\pi$
$991$	276.834	−	159.830i	0.279348	−	0.161282i	0.633128	+	0.774047i	$0.281771\pi$
$992$	22.0376	+	1020.71i	0.0222153	+	1.02894i
$993$	−636.709	+	527.451i	−0.641198	+	0.531170i
$994$	−509.174	+	1590.41i	−0.512247	+	1.60001i
$995$	−200.601	+	239.067i	−0.201609	+	0.240269i
$996$	77.7351	+	308.720i	0.0780473	+	0.309960i
$997$	−91.5115	−	33.3075i	−0.0917869	−	0.0334077i	0.295719	−	0.955275i	$-0.404441\pi$
$997$	−91.5115	−	33.3075i	−0.0917869	−	0.0334077i	−0.387505	+	0.921867i	$0.626663\pi$
$998$	−32.3590	+	237.688i	−0.0324238	+	0.238164i
$999$	1325.47	+	799.094i	1.32680	+	0.799894i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.31.7	yes	204
3.2	odd	2		324.3.j.a.307.28		204
4.3	odd	2	inner	108.3.j.a.31.1	yes	204
12.11	even	2		324.3.j.a.307.34		204
27.7	even	9	inner	108.3.j.a.7.1	✓	204
27.20	odd	18		324.3.j.a.19.34		204
108.7	odd	18	inner	108.3.j.a.7.7	yes	204
108.47	even	18		324.3.j.a.19.28		204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.1	✓	204	27.7	even	9	inner
108.3.j.a.7.7	yes	204	108.7	odd	18	inner
108.3.j.a.31.1	yes	204	4.3	odd	2	inner
108.3.j.a.31.7	yes	204	1.1	even	1	trivial
324.3.j.a.19.28		204	108.47	even	18
324.3.j.a.19.34		204	27.20	odd	18
324.3.j.a.307.28		204	3.2	odd	2
324.3.j.a.307.34		204	12.11	even	2

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:	\( N \)	\(=\)	\( 108 = 2^{2} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	108.j (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.76993 - 0.931310i) q^{2} +(-0.0189322 + 2.99994i) q^{3} +(2.26532 + 3.29671i) q^{4} +(-1.07944 + 6.12179i) q^{5} +(2.82738 - 5.29206i) q^{6} +(-6.40210 - 7.62973i) q^{7} +(-0.939205 - 7.94468i) q^{8} +(-8.99928 - 0.113591i) q^{9} +O(q^{10})\)	\(q+(-1.76993 - 0.931310i) q^{2} +(-0.0189322 + 2.99994i) q^{3} +(2.26532 + 3.29671i) q^{4} +(-1.07944 + 6.12179i) q^{5} +(2.82738 - 5.29206i) q^{6} +(-6.40210 - 7.62973i) q^{7} +(-0.939205 - 7.94468i) q^{8} +(-8.99928 - 0.113591i) q^{9} +(7.61182 - 9.82987i) q^{10} +(-12.4562 + 2.19637i) q^{11} +(-9.93283 + 6.73342i) q^{12} +(12.1504 - 4.42239i) q^{13} +(4.22565 + 19.4665i) q^{14} +(-18.3446 - 3.35415i) q^{15} +(-5.73663 + 14.9362i) q^{16} +(-9.19757 + 15.9307i) q^{17} +(15.8223 + 8.58217i) q^{18} +(-4.75708 + 2.74650i) q^{19} +(-22.6271 + 10.3092i) q^{20} +(23.0099 - 19.0615i) q^{21} +(24.0922 + 7.71319i) q^{22} +(-6.65021 + 7.92541i) q^{23} +(23.8513 - 2.66715i) q^{24} +(-12.8188 - 4.66567i) q^{25} +(-25.6240 - 3.48848i) q^{26} +(0.511142 - 26.9952i) q^{27} +(10.6502 - 38.3897i) q^{28} +(9.36615 + 3.40900i) q^{29} +(29.3449 + 23.0211i) q^{30} +(-20.5079 + 24.4404i) q^{31} +(24.0637 - 21.0935i) q^{32} +(-6.35316 - 37.4096i) q^{33} +(31.1155 - 19.6304i) q^{34} +(53.6183 - 30.9565i) q^{35} +(-20.0118 - 29.9254i) q^{36} +(-28.6614 + 49.6430i) q^{37} +(10.9776 - 0.430805i) q^{38} +(13.0369 + 36.5343i) q^{39} +(49.6495 + 2.82616i) q^{40} +(-8.81153 + 3.20713i) q^{41} +(-58.4782 + 12.3081i) q^{42} +(65.6751 - 11.5803i) q^{43} +(-35.4582 - 36.0892i) q^{44} +(10.4095 - 54.9691i) q^{45} +(19.1514 - 7.83404i) q^{46} +(19.6132 + 23.3740i) q^{47} +(-44.6992 - 17.4923i) q^{48} +(-8.71709 + 49.4371i) q^{49} +(18.3433 + 20.1962i) q^{50} +(-47.6169 - 27.8938i) q^{51} +(42.1040 + 30.0383i) q^{52} +59.3574 q^{53} +(-26.0456 + 47.3036i) q^{54} -78.6253i q^{55} +(-54.6029 + 58.0285i) q^{56} +(-8.14928 - 14.3230i) q^{57} +(-13.4026 - 14.7565i) q^{58} +(-102.326 - 18.0429i) q^{59} +(-30.4987 - 68.0750i) q^{60} +(-24.2267 + 20.3286i) q^{61} +(59.0592 - 24.1586i) q^{62} +(56.7477 + 69.3893i) q^{63} +(-62.2358 + 14.9234i) q^{64} +(13.9573 + 79.1560i) q^{65} +(-23.5952 + 72.1291i) q^{66} +(33.8532 + 93.0109i) q^{67} +(-73.3543 + 5.76633i) q^{68} +(-23.6499 - 20.1003i) q^{69} +(-123.731 + 4.85571i) q^{70} +(72.6010 + 41.9162i) q^{71} +(7.54973 + 71.6031i) q^{72} +(-45.9238 - 79.5424i) q^{73} +(96.9618 - 61.1721i) q^{74} +(14.2394 - 38.3674i) q^{75} +(-19.8308 - 9.46102i) q^{76} +(96.5038 + 80.9763i) q^{77} +(10.9503 - 76.8045i) q^{78} +(-25.9142 + 71.1988i) q^{79} +(-85.2442 - 51.2412i) q^{80} +(80.9742 + 2.04447i) q^{81} +(18.5827 + 2.52986i) q^{82} +(9.07369 - 24.9298i) q^{83} +(114.965 + 32.6768i) q^{84} +(-87.5960 - 73.5018i) q^{85} +(-127.025 - 40.6675i) q^{86} +(-10.4041 + 28.0334i) q^{87} +(29.1484 + 96.8979i) q^{88} +(-53.2910 - 92.3027i) q^{89} +(-69.6175 + 87.5971i) q^{90} +(-111.530 - 64.3918i) q^{91} +(-41.1927 - 3.97022i) q^{92} +(-72.9314 - 61.9852i) q^{93} +(-12.9455 - 59.6364i) q^{94} +(-11.6785 - 32.0865i) q^{95} +(62.8238 + 72.5891i) q^{96} +(0.0639800 + 0.362849i) q^{97} +(61.4699 - 79.3820i) q^{98} +(112.347 - 18.3508i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

Introduction

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