LMFDB - Embedded newform 108.3.j.a.31.22

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			31.22
Character	$\chi$	$=$	108.31
Dual form			108.3.j.a.7.22

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.518880 + 1.93152i) q^{2} +(-0.835872 - 2.88120i) q^{3} +(-3.46153 + 2.00445i) q^{4} +(1.09499 - 6.21002i) q^{5} +(5.13137 - 3.10950i) q^{6} +(-5.65814 - 6.74311i) q^{7} +(-5.66776 - 5.64593i) q^{8} +(-7.60264 + 4.81663i) q^{9} +O(q^{10})$	\(q+(0.518880 + 1.93152i) q^{2} +(-0.835872 - 2.88120i) q^{3} +(-3.46153 + 2.00445i) q^{4} +(1.09499 - 6.21002i) q^{5} +(5.13137 - 3.10950i) q^{6} +(-5.65814 - 6.74311i) q^{7} +(-5.66776 - 5.64593i) q^{8} +(-7.60264 + 4.81663i) q^{9} +(12.5629 - 1.10726i) q^{10} +(3.98532 - 0.702720i) q^{11} +(8.66863 + 8.29788i) q^{12} +(11.3127 - 4.11749i) q^{13} +(10.0885 - 14.4277i) q^{14} +(-18.8076 + 2.03588i) q^{15} +(7.96433 - 13.8769i) q^{16} +(-7.63358 + 13.2217i) q^{17} +(-13.2483 - 12.1854i) q^{18} +(20.6326 - 11.9123i) q^{19} +(8.65735 + 23.6910i) q^{20} +(-14.6988 + 21.9386i) q^{21} +(3.42522 + 7.33310i) q^{22} +(-11.4927 + 13.6965i) q^{23} +(-11.5295 + 21.0492i) q^{24} +(-13.8730 - 5.04937i) q^{25} +(13.8229 + 19.7142i) q^{26} +(20.2325 + 17.8786i) q^{27} +(33.1021 + 12.0000i) q^{28} +(-40.6859 - 14.8084i) q^{29} +(-13.6912 - 35.2708i) q^{30} +(31.8949 - 38.0109i) q^{31} +(30.9361 + 8.18277i) q^{32} +(-5.35590 - 10.8951i) q^{33} +(-29.4990 - 7.88389i) q^{34} +(-48.0705 + 27.7535i) q^{35} +(16.6620 - 31.9120i) q^{36} +(-14.4238 + 24.9828i) q^{37} +(33.7146 + 33.6713i) q^{38} +(-21.3193 - 29.1525i) q^{39} +(-41.2675 + 29.0146i) q^{40} +(40.7670 - 14.8380i) q^{41} +(-50.0018 - 17.0074i) q^{42} +(-19.2340 + 3.39148i) q^{43} +(-12.3867 + 10.4209i) q^{44} +(21.5865 + 52.4867i) q^{45} +(-32.4184 - 15.0916i) q^{46} +(2.31031 + 2.75332i) q^{47} +(-46.6394 - 11.3475i) q^{48} +(-4.94621 + 28.0514i) q^{49} +(2.55450 - 29.4160i) q^{50} +(44.4752 + 10.9422i) q^{51} +(-30.9059 + 36.9286i) q^{52} +81.1632 q^{53} +(-24.0346 + 48.3563i) q^{54} -25.5184i q^{55} +(-6.00214 + 70.1638i) q^{56} +(-51.5678 - 49.4896i) q^{57} +(7.49168 - 86.2693i) q^{58} +(-48.7001 - 8.58715i) q^{59} +(61.0221 - 44.7462i) q^{60} +(79.8933 - 67.0384i) q^{61} +(89.9683 + 41.8825i) q^{62} +(75.4959 + 24.0122i) q^{63} +(0.246975 + 63.9995i) q^{64} +(-13.1823 - 74.7607i) q^{65} +(18.2651 - 15.9983i) q^{66} +(23.6170 + 64.8871i) q^{67} +(-0.0785545 - 61.0686i) q^{68} +(49.0689 + 21.6644i) q^{69} +(-78.5492 - 78.4483i) q^{70} +(48.4794 + 27.9896i) q^{71} +(70.2843 + 15.6244i) q^{72} +(12.9295 + 22.3946i) q^{73} +(-55.7389 - 14.8968i) q^{74} +(-2.95217 + 44.1916i) q^{75} +(-47.5428 + 82.5917i) q^{76} +(-27.2880 - 22.8974i) q^{77} +(45.2464 - 56.3052i) q^{78} +(28.9877 - 79.6430i) q^{79} +(-77.4552 - 64.6538i) q^{80} +(34.6001 - 73.2382i) q^{81} +(49.8130 + 71.0430i) q^{82} +(-21.4076 + 58.8168i) q^{83} +(6.90522 - 105.404i) q^{84} +(73.7486 + 61.8824i) q^{85} +(-16.5309 - 35.3911i) q^{86} +(-8.65792 + 129.602i) q^{87} +(-26.5554 - 18.5180i) q^{88} +(-11.6524 - 20.1826i) q^{89} +(-90.1782 + 68.9291i) q^{90} +(-91.7735 - 52.9855i) q^{91} +(12.3284 - 70.4475i) q^{92} +(-136.177 - 60.1234i) q^{93} +(-4.11931 + 5.89104i) q^{94} +(-51.3827 - 141.173i) q^{95} +(-2.28243 - 95.9729i) q^{96} +(-16.4127 - 93.0811i) q^{97} +(-56.7482 + 5.00160i) q^{98} +(-26.9142 + 24.5383i) 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 $

$2$	0.518880	+	1.93152i	0.259440	+	0.965759i
$2$	0.518880	+	1.93152i	0.259440	+	0.965759i
$3$	−0.835872	−	2.88120i	−0.278624	−	0.960400i
$3$	−0.835872	−	2.88120i	−0.278624	−	0.960400i
$4$	−3.46153	+	2.00445i	−0.865382	+	0.501114i
$5$	1.09499	−	6.21002i	0.218999	−	1.24200i	−0.654832	−	0.755774i	$-0.727261\pi$
$5$	1.09499	−	6.21002i	0.218999	−	1.24200i	0.873831	−	0.486230i	$-0.161628\pi$
$6$	5.13137	−	3.10950i	0.855229	−	0.518250i
$7$	−5.65814	−	6.74311i	−0.808306	−	0.963301i	0.191529	−	0.981487i	$-0.438655\pi$
$7$	−5.65814	−	6.74311i	−0.808306	−	0.963301i	−0.999835	+	0.0181856i	$0.994211\pi$
$8$	−5.66776	−	5.64593i	−0.708470	−	0.705741i
$9$	−7.60264	+	4.81663i	−0.844737	+	0.535181i
$10$	12.5629	−	1.10726i	1.25629	−	0.110726i
$11$	3.98532	−	0.702720i	0.362302	−	0.0638836i	0.0104659	−	0.999945i	$-0.496669\pi$
$11$	3.98532	−	0.702720i	0.362302	−	0.0638836i	0.351836	+	0.936062i	$0.385557\pi$
$12$	8.66863	+	8.29788i	0.722386	+	0.691490i
$13$	11.3127	−	4.11749i	0.870208	−	0.316730i	0.131956	−	0.991256i	$-0.457874\pi$
$13$	11.3127	−	4.11749i	0.870208	−	0.316730i	0.738251	+	0.674526i	$0.235652\pi$
$14$	10.0885	−	14.4277i	0.720610	−	1.03055i
$15$	−18.8076	+	2.03588i	−1.25384	+	0.135726i
$16$	7.96433	−	13.8769i	0.497770	−	0.867309i
$17$	−7.63358	+	13.2217i	−0.449034	+	0.777750i	−0.998323	−	0.0578824i	$-0.981565\pi$
$17$	−7.63358	+	13.2217i	−0.449034	+	0.777750i	0.549289	+	0.835632i	$0.314899\pi$
$18$	−13.2483	−	12.1854i	−0.736015	−	0.676965i
$19$	20.6326	−	11.9123i	1.08593	−	0.626961i	0.153438	−	0.988158i	$-0.450965\pi$
$19$	20.6326	−	11.9123i	1.08593	−	0.626961i	0.932489	+	0.361198i	$0.117632\pi$
$20$	8.65735	+	23.6910i	0.432868	+	1.18455i
$21$	−14.6988	+	21.9386i	−0.699941	+	1.04470i
$22$	3.42522	+	7.33310i	0.155692	+	0.333323i
$23$	−11.4927	+	13.6965i	−0.499684	+	0.595501i	−0.955653	−	0.294495i	$-0.904848\pi$
$23$	−11.4927	+	13.6965i	−0.499684	+	0.595501i	0.455969	+	0.889996i	$0.349293\pi$
$24$	−11.5295	+	21.0492i	−0.480397	+	0.877051i
$25$	−13.8730	−	5.04937i	−0.554921	−	0.201975i
$26$	13.8229	+	19.7142i	0.531652	+	0.758239i
$27$	20.2325	+	17.8786i	0.749352	+	0.662172i
$28$	33.1021	+	12.0000i	1.18222	+	0.428570i
$29$	−40.6859	−	14.8084i	−1.40296	−	0.510636i	−0.473905	−	0.880576i	$-0.657156\pi$
$29$	−40.6859	−	14.8084i	−1.40296	−	0.510636i	−0.929056	+	0.369940i	$0.879378\pi$
$30$	−13.6912	−	35.2708i	−0.456375	−	1.17569i
$31$	31.8949	−	38.0109i	1.02887	−	1.22616i	0.0551316	−	0.998479i	$-0.482442\pi$
$31$	31.8949	−	38.0109i	1.02887	−	1.22616i	0.973736	−	0.227678i	$-0.0731134\pi$
$32$	30.9361	+	8.18277i	0.966753	+	0.255711i
$33$	−5.35590	−	10.8951i	−0.162300	−	0.330155i
$34$	−29.4990	−	7.88389i	−0.867617	−	0.231879i
$35$	−48.0705	+	27.7535i	−1.37344	+	0.792957i
$36$	16.6620	−	31.9120i	0.462833	−	0.886445i
$37$	−14.4238	+	24.9828i	−0.389833	+	0.675210i	−0.992427	−	0.122838i	$-0.960800\pi$
$37$	−14.4238	+	24.9828i	−0.389833	+	0.675210i	0.602594	+	0.798048i	$0.294134\pi$
$38$	33.7146	+	33.6713i	0.887226	+	0.886086i
$39$	−21.3193	−	29.1525i	−0.546648	−	0.747499i
$40$	−41.2675	+	29.0146i	−1.03169	+	0.725366i
$41$	40.7670	−	14.8380i	0.994316	−	0.361902i	0.206926	−	0.978357i	$-0.433654\pi$
$41$	40.7670	−	14.8380i	0.994316	−	0.361902i	0.787390	+	0.616455i	$0.211432\pi$
$42$	−50.0018	−	17.0074i	−1.19052	−	0.404939i
$43$	−19.2340	+	3.39148i	−0.447303	+	0.0788716i	−0.392762	−	0.919640i	$-0.628481\pi$
$43$	−19.2340	+	3.39148i	−0.447303	+	0.0788716i	−0.0545406	+	0.998512i	$0.517369\pi$
$44$	−12.3867	+	10.4209i	−0.281517	+	0.236838i
$45$	21.5865	+	52.4867i	0.479701	+	1.16637i
$46$	−32.4184	−	15.0916i	−0.704748	−	0.328078i
$47$	2.31031	+	2.75332i	0.0491555	+	0.0585812i	0.790062	−	0.613027i	$-0.210048\pi$
$47$	2.31031	+	2.75332i	0.0491555	+	0.0585812i	−0.740907	+	0.671608i	$0.765604\pi$
$48$	−46.6394	−	11.3475i	−0.971654	−	0.236406i
$49$	−4.94621	+	28.0514i	−0.100943	+	0.572477i
$50$	2.55450	−	29.4160i	0.0510901	−	0.588320i
$51$	44.4752	+	10.9422i	0.872063	+	0.214553i
$52$	−30.9059	+	36.9286i	−0.594344	+	0.710165i
$53$	81.1632			1.53138			0.765690	−	0.643209i	$-0.222398\pi$
$53$	81.1632			1.53138			0.765690	+	0.643209i	$0.222398\pi$
$54$	−24.0346	+	48.3563i	−0.445086	+	0.895488i
$55$		−	25.5184i		−	0.463971i
$56$	−6.00214	+	70.1638i	−0.107181	+	1.25292i
$57$	−51.5678	−	49.4896i	−0.904699	−	0.868239i
$58$	7.49168	−	86.2693i	0.129167	−	1.48740i
$59$	−48.7001	−	8.58715i	−0.825426	−	0.145545i	−0.255049	−	0.966928i	$-0.582092\pi$
$59$	−48.7001	−	8.58715i	−0.825426	−	0.145545i	−0.570377	+	0.821383i	$0.693203\pi$
$60$	61.0221	−	44.7462i	1.01704	−	0.745770i
$61$	79.8933	−	67.0384i	1.30973	−	1.09899i	0.321350	−	0.946961i	$-0.395863\pi$
$61$	79.8933	−	67.0384i	1.30973	−	1.09899i	0.988376	−	0.152030i	$-0.0485809\pi$
$62$	89.9683	+	41.8825i	1.45110	+	0.675524i
$63$	75.4959	+	24.0122i	1.19835	+	0.381147i
$64$	0.246975	+	63.9995i	0.00385898	+	0.999993i
$65$	−13.1823	−	74.7607i	−0.202805	−	1.15016i
$66$	18.2651	−	15.9983i	0.276744	−	0.242398i
$67$	23.6170	+	64.8871i	0.352492	+	0.968464i	0.981567	+	0.191119i	$0.0612116\pi$
$67$	23.6170	+	64.8871i	0.352492	+	0.968464i	−0.629075	+	0.777345i	$0.716566\pi$
$68$	−0.0785545	−	61.0686i	−0.00115521	−	0.898067i
$69$	49.0689	+	21.6644i	0.711143	+	0.313976i
$70$	−78.5492	−	78.4483i	−1.12213	−	1.12069i
$71$	48.4794	+	27.9896i	0.682808	+	0.394219i	0.800912	−	0.598782i	$-0.204348\pi$
$71$	48.4794	+	27.9896i	0.682808	+	0.394219i	−0.118104	+	0.993001i	$0.537682\pi$
$72$	70.2843	+	15.6244i	0.976170	+	0.217006i
$73$	12.9295	+	22.3946i	0.177117	+	0.306776i	0.940892	−	0.338707i	$-0.109990\pi$
$73$	12.9295	+	22.3946i	0.177117	+	0.306776i	−0.763775	+	0.645483i	$0.776656\pi$
$74$	−55.7389	−	14.8968i	−0.753229	−	0.201308i
$75$	−2.95217	+	44.1916i	−0.0393622	+	0.589221i
$76$	−47.5428	+	82.5917i	−0.625563	+	1.08673i
$77$	−27.2880	−	22.8974i	−0.354390	−	0.297369i
$78$	45.2464	−	56.3052i	0.580082	−	0.721862i
$79$	28.9877	−	79.6430i	0.366933	−	1.00814i	−0.609589	−	0.792718i	$-0.708665\pi$
$79$	28.9877	−	79.6430i	0.366933	−	1.00814i	0.976521	−	0.215421i	$-0.0691125\pi$
$80$	−77.4552	−	64.6538i	−0.968190	−	0.808172i
$81$	34.6001	−	73.2382i	0.427162	−	0.904175i
$82$	49.8130	+	71.0430i	0.607476	+	0.866378i
$83$	−21.4076	+	58.8168i	−0.257922	+	0.708636i	0.741373	+	0.671094i	$0.234175\pi$
$83$	−21.4076	+	58.8168i	−0.257922	+	0.708636i	−0.999295	+	0.0375425i	$0.988047\pi$
$84$	6.90522	−	105.404i	0.0822050	−	1.25481i
$85$	73.7486	+	61.8824i	0.867631	+	0.728028i
$86$	−16.5309	−	35.3911i	−0.192219	−	0.411524i
$87$	−8.65792	+	129.602i	−0.0995163	+	1.48968i
$88$	−26.5554	−	18.5180i	−0.301765	−	0.210432i
$89$	−11.6524	−	20.1826i	−0.130926	−	0.226771i	0.793108	−	0.609081i	$-0.208462\pi$
$89$	−11.6524	−	20.1826i	−0.130926	−	0.226771i	−0.924034	+	0.382311i	$0.875128\pi$
$90$	−90.1782	+	68.9291i	−1.00198	+	0.765879i
$91$	−91.7735	−	52.9855i	−1.00850	−	0.582258i
$92$	12.3284	−	70.4475i	0.134004	−	0.765734i
$93$	−136.177	−	60.1234i	−1.46427	−	0.646488i
$94$	−4.11931	+	5.89104i	−0.0438224	+	0.0626706i
$95$	−51.3827	−	141.173i	−0.540871	−	1.48603i
$96$	−2.28243	−	95.9729i	−0.0237753	−	0.999717i
$97$	−16.4127	−	93.0811i	−0.169203	−	0.959599i	−0.944624	−	0.328154i	$-0.893573\pi$
$97$	−16.4127	−	93.0811i	−0.169203	−	0.959599i	0.775421	−	0.631445i	$-0.217538\pi$
$98$	−56.7482	+	5.00160i	−0.579063	+	0.0510368i
$99$	−26.9142	+	24.5383i	−0.271861	+	0.247862i
$100$	58.1430	−	10.3293i	0.581430	−	0.103293i
$101$	−103.010	+	86.4360i	−1.01990	+	0.855802i	−0.989616	−	0.143740i	$-0.954087\pi$
$101$	−103.010	+	86.4360i	−1.01990	+	0.855802i	−0.0302891	+	0.999541i	$0.509643\pi$
$102$	1.94229	+	91.5824i	0.0190420	+	0.897866i
$103$	−63.9321	−	11.2730i	−0.620700	−	0.109446i	−0.145550	−	0.989351i	$-0.546495\pi$
$103$	−63.9321	−	11.2730i	−0.620700	−	0.109446i	−0.475150	+	0.879905i	$0.657606\pi$
$104$	−87.3647	−	40.5338i	−0.840045	−	0.389748i
$105$	120.144	+	115.302i	1.14423	+	1.09812i
$106$	42.1140	+	156.768i	0.397302	+	1.47894i
$107$		−	53.0300i		−	0.495608i	−0.968810	−	0.247804i	$-0.920291\pi$
$107$		−	53.0300i		−	0.495608i	0.968810	−	0.247804i	$-0.0797089\pi$
$108$	−105.872	−	21.3322i	−0.980299	−	0.197520i
$109$	193.535			1.77555			0.887773	−	0.460281i	$-0.152251\pi$
$109$	193.535			1.77555			0.887773	+	0.460281i	$0.152251\pi$
$110$	49.2893	−	13.2410i	0.448084	−	0.120373i
$111$	84.0368	+	20.6755i	0.757089	+	0.186266i
$112$	−138.637	+	24.8134i	−1.23783	+	0.221548i
$113$	−13.0720	+	74.1349i	−0.115681	+	0.656061i	0.870729	+	0.491762i	$0.163647\pi$
$113$	−13.0720	+	74.1349i	−0.115681	+	0.656061i	−0.986411	+	0.164299i	$0.947464\pi$
$114$	68.8326	−	125.283i	0.603794	−	1.09898i
$115$	72.4711	+	86.3677i	0.630184	+	0.751024i
$116$	170.518	−	30.2931i	1.46998	−	0.261148i
$117$	−66.1739	+	85.7929i	−0.565589	+	0.733272i
$118$	−8.68332	−	98.5209i	−0.0735874	−	0.834923i
$119$	132.348	−	23.3364i	1.11216	−	0.196105i
$120$	118.091	+	94.6474i	0.984094	+	0.788728i
$121$	−98.3138	+	35.7833i	−0.812511	+	0.295730i
$122$	170.941	+	119.530i	1.40116	+	0.979757i
$123$	−76.8271	−	105.055i	−0.624611	−	0.854107i
$124$	−34.2140	+	195.508i	−0.275919	+	1.57667i
$125$	32.2752	−	55.9023i	0.258202	−	0.447218i
$126$	−7.20674	+	158.281i	−0.0571963	+	1.25620i
$127$	−27.2780	+	15.7489i	−0.214787	+	0.124007i	−0.603534	−	0.797337i	$-0.706241\pi$
$127$	−27.2780	+	15.7489i	−0.214787	+	0.124007i	0.388747	+	0.921345i	$0.372908\pi$
$128$	−123.488	+	33.6851i	−0.964751	+	0.263165i
$129$	25.8487	+	52.5823i	0.200378	+	0.407614i
$130$	137.562	−	64.2538i	1.05817	−	0.494260i
$131$	−52.0385	+	62.0171i	−0.397240	+	0.473413i	−0.927176	−	0.374625i	$-0.877771\pi$
$131$	−52.0385	+	62.0171i	−0.397240	+	0.473413i	0.529936	+	0.848038i	$0.322216\pi$
$132$	40.3784	+	26.9781i	0.305897	+	0.204380i
$133$	−197.068	−	71.7269i	−1.48171	−	0.539300i
$134$	−113.076	+	79.2852i	−0.843852	+	0.591681i
$135$	133.181	−	106.067i	0.986527	−	0.785684i
$136$	117.914	−	31.8390i	0.867017	−	0.234111i
$137$	−95.7424	−	34.8474i	−0.698850	−	0.254360i	−0.0319300	−	0.999490i	$-0.510165\pi$
$137$	−95.7424	−	34.8474i	−0.698850	−	0.254360i	−0.666920	+	0.745130i	$0.732388\pi$
$138$	−16.3842	+	106.019i	−0.118726	+	0.768251i
$139$	−141.211	+	168.289i	−1.01591	+	1.21071i	−0.0385168	+	0.999258i	$0.512263\pi$
$139$	−141.211	+	168.289i	−1.01591	+	1.21071i	−0.977389	+	0.211451i	$0.932181\pi$
$140$	110.767	−	192.425i	0.791190	−	1.37446i
$141$	6.00173	−	8.95788i	0.0425655	−	0.0635310i
$142$	−28.9074	+	108.162i	−0.203573	+	0.761704i
$143$	42.1913	−	24.3592i	0.295044	−	0.170344i
$144$	6.29024	+	143.863i	0.0436822	+	0.999045i
$145$	−136.512	+	236.445i	−0.941459	+	1.63065i
$146$	−36.5467	+	36.5938i	−0.250320	+	0.250642i
$147$	84.9560	−	9.19632i	0.577932	−	0.0625600i
$148$	−0.148430	−	115.390i	−0.00100291	−	0.779665i
$149$	−109.046	+	39.6894i	−0.731850	+	0.266372i	−0.680948	−	0.732332i	$-0.738432\pi$
$149$	−109.046	+	39.6894i	−0.731850	+	0.266372i	−0.0509025	+	0.998704i	$0.516210\pi$
$150$	−86.8887	+	17.2280i	−0.579258	+	0.114853i
$151$	113.127	−	19.9473i	0.749183	−	0.132101i	0.213996	−	0.976835i	$-0.431352\pi$
$151$	113.127	−	19.9473i	0.749183	−	0.132101i	0.535188	+	0.844733i	$0.320241\pi$
$152$	−184.196	−	48.9746i	−1.21182	−	0.322201i
$153$	−5.64896	−	137.288i	−0.0369213	−	0.897309i
$154$	30.0675	−	64.5883i	0.195243	−	0.419405i
$155$	−201.124	−	239.690i	−1.29757	−	1.54639i
$156$	132.232	+	58.1785i	0.847641	+	0.372939i
$157$	−3.14219	+	17.8203i	−0.0200140	+	0.113505i	−0.993178	−	0.116607i	$-0.962798\pi$
$157$	−3.14219	+	17.8203i	−0.0200140	+	0.113505i	0.973164	+	0.230112i	$0.0739093\pi$
$158$	168.873	+	14.6650i	1.06882	+	0.0928167i
$159$	−67.8420	−	233.847i	−0.426679	−	1.47074i
$160$	84.6900	−	183.154i	0.529312	−	1.14471i
$161$	157.385			0.977544
$162$	159.414	+	28.8289i	0.984038	+	0.177956i
$163$		−	111.870i		−	0.686322i	−0.939277	−	0.343161i	$-0.888502\pi$
$163$		−	111.870i		−	0.686322i	0.939277	−	0.343161i	$-0.111498\pi$
$164$	−111.374	+	133.078i	−0.679109	+	0.811448i
$165$	−73.5236	+	21.3301i	−0.445598	+	0.129273i
$166$	−124.714	−	10.8302i	−0.751287	−	0.0652423i
$167$	−58.4844	−	10.3124i	−0.350206	−	0.0617508i	−0.00422188	−	0.999991i	$-0.501344\pi$
$167$	−58.4844	−	10.3124i	−0.350206	−	0.0617508i	−0.345984	+	0.938240i	$0.612455\pi$
$168$	207.173	−	41.3546i	1.23317	−	0.246158i
$169$	−18.4380	+	15.4713i	−0.109101	+	0.0915463i
$170$	−81.2603	+	174.556i	−0.478002	+	1.02680i
$171$	−99.4854	+	189.944i	−0.581786	+	1.11079i
$172$	59.7810	−	50.2934i	0.347564	−	0.292404i
$173$	−15.8732	−	90.0212i	−0.0917524	−	0.520354i	−0.995694	−	0.0926984i	$-0.970451\pi$
$173$	−15.8732	−	90.0212i	−0.0917524	−	0.520354i	0.903942	−	0.427656i	$-0.140660\pi$
$174$	−254.821	+	50.5251i	−1.46449	+	0.290374i
$175$	44.4471	+	122.117i	0.253983	+	0.697813i
$176$	21.9888	−	60.9008i	0.124936	−	0.346027i
$177$	15.9658	+	147.493i	0.0902022	+	0.833292i
$178$	32.9368	−	32.9792i	0.185038	−	0.185277i
$179$	272.538	+	157.350i	1.52256	+	0.879050i	0.999644	+	0.0266652i	$0.00848882\pi$
$179$	272.538	+	157.350i	1.52256	+	0.879050i	0.522915	+	0.852385i	$0.324845\pi$
$180$	−179.930	−	138.415i	−0.999609	−	0.768971i
$181$	−102.558	−	177.636i	−0.566621	−	0.981416i	−0.996897	−	0.0787186i	$-0.974917\pi$
$181$	−102.558	−	177.636i	−0.566621	−	0.981416i	0.430276	−	0.902697i	$-0.358416\pi$
$182$	54.7229	−	204.755i	0.300675	−	1.12503i
$183$	−259.932	−	174.153i	−1.42039	−	0.951656i
$184$	142.468	−	12.7413i	0.774280	−	0.0692464i
$185$	139.350	+	116.928i	0.753241	+	0.632044i
$186$	45.4699	−	294.225i	0.244462	−	1.58186i
$187$	−21.1311	+	58.0572i	−0.113000	+	0.310466i
$188$	−13.5161	−	4.89977i	−0.0718940	−	0.0260626i
$189$	6.07917	−	237.590i	0.0321649	−	1.25709i
$190$	246.016	−	172.499i	1.29482	−	0.907887i
$191$	10.6521	−	29.2664i	0.0557702	−	0.153227i	−0.908679	−	0.417495i	$-0.862908\pi$
$191$	10.6521	−	29.2664i	0.0557702	−	0.153227i	0.964449	+	0.264268i	$0.0851303\pi$
$192$	184.189	−	54.2070i	0.959318	−	0.282328i
$193$	148.161	+	124.322i	0.767673	+	0.644154i	0.940112	−	0.340866i	$-0.110720\pi$
$193$	148.161	+	124.322i	0.767673	+	0.644154i	−0.172439	+	0.985020i	$0.555165\pi$
$194$	171.272	−	79.9994i	0.882843	−	0.412368i
$195$	−204.382	+	100.471i	−1.04811	+	0.515238i
$196$	−39.1062	−	107.015i	−0.199522	−	0.545995i
$197$	133.002	+	230.367i	0.675139	+	1.16938i	0.976428	+	0.215842i	$0.0692497\pi$
$197$	133.002	+	230.367i	0.675139	+	1.16938i	−0.301289	+	0.953533i	$0.597417\pi$
$198$	−61.3615	−	39.2528i	−0.309907	−	0.198247i
$199$	25.7924	+	14.8913i	0.129610	+	0.0748305i	0.563403	−	0.826182i	$-0.309492\pi$
$199$	25.7924	+	14.8913i	0.129610	+	0.0748305i	−0.433793	+	0.901013i	$0.642825\pi$
$200$	50.1206	+	106.945i	0.250603	+	0.534723i
$201$	167.212	−	122.282i	0.831900	−	0.608371i
$202$	−220.403	−	154.116i	−1.09110	−	0.762953i
$203$	130.351	+	358.138i	0.642125	+	1.76422i
$204$	−175.885	+	51.2719i	−0.862182	+	0.251333i
$205$	−47.5045	−	269.411i	−0.231729	−	1.31420i
$206$	−11.3992	−	129.335i	−0.0553359	−	0.627842i
$207$	21.4041	−	159.486i	0.103401	−	0.770463i
$208$	32.9599	−	189.779i	0.158461	−	0.912398i
$209$	73.8567	−	61.9731i	0.353381	−	0.296522i
$210$	−160.368	+	291.889i	−0.763657	+	1.38995i
$211$	−110.858	−	19.5472i	−0.525393	−	0.0926409i	−0.0953402	−	0.995445i	$-0.530394\pi$
$211$	−110.858	−	19.5472i	−0.525393	−	0.0926409i	−0.430053	+	0.902804i	$0.641505\pi$
$212$	−280.948	+	162.688i	−1.32523	+	0.767396i
$213$	40.1210	−	163.074i	0.188362	−	0.765608i
$214$	102.428	−	27.5162i	0.478638	−	0.128581i
$215$			123.157i			0.572825i
$216$	−13.7315	−	215.563i	−0.0635718	−	0.997977i
$217$	−436.777			−2.01280
$218$	100.421	+	373.816i	0.460648	+	1.71475i
$219$	53.7160	−	55.9716i	0.245278	−	0.255578i
$220$	51.1505	+	88.3326i	0.232502	+	0.401512i
$221$	−31.9160	+	181.005i	−0.144416	+	0.819026i
$222$	3.66999	+	173.047i	0.0165315	+	0.779490i
$223$	−31.4443	−	37.4738i	−0.141006	−	0.168044i	0.690920	−	0.722931i	$-0.257206\pi$
$223$	−31.4443	−	37.4738i	−0.141006	−	0.168044i	−0.831925	+	0.554887i	$0.812761\pi$
$224$	−119.864	−	254.905i	−0.535105	−	1.13797i
$225$	129.792	−	28.4327i	0.576855	−	0.126368i
$226$	−149.976	+	13.2184i	−0.663609	+	0.0584884i
$227$	347.917	−	61.3471i	1.53267	−	0.270251i	0.657273	−	0.753652i	$-0.271710\pi$
$227$	347.917	−	61.3471i	1.53267	−	0.270251i	0.875399	+	0.483401i	$0.160599\pi$
$228$	277.703	+	67.9443i	1.21800	+	0.298001i
$229$	203.515	−	74.0734i	0.888712	−	0.323465i	0.142992	−	0.989724i	$-0.454328\pi$
$229$	203.515	−	74.0734i	0.888712	−	0.323465i	0.745720	+	0.666259i	$0.232106\pi$
$230$	−129.217	+	184.794i	−0.561813	+	0.803452i
$231$	−43.1626	+	97.7616i	−0.186851	+	0.423210i
$232$	146.990	+	313.640i	0.633579	+	1.35190i
$233$	8.68589	−	15.0444i	0.0372785	−	0.0645682i	−0.846784	−	0.531937i	$-0.821464\pi$
$233$	8.68589	−	15.0444i	0.0372785	−	0.0645682i	0.884063	+	0.467368i	$0.154798\pi$
$234$	−200.047	−	83.2999i	−0.854901	−	0.355983i
$235$	19.6279	−	11.3322i	0.0835231	−	0.0482221i
$236$	185.789	−	67.8926i	0.787243	−	0.287680i
$237$	−253.697	−	16.9480i	−1.07045	−	0.0715104i
$238$	113.747	+	243.523i	0.477930	+	1.02321i
$239$	85.0177	−	101.320i	0.355722	−	0.423934i	−0.558273	−	0.829657i	$-0.688536\pi$
$239$	85.0177	−	101.320i	0.355722	−	0.423934i	0.913996	+	0.405724i	$0.132980\pi$
$240$	−121.538	+	277.206i	−0.506408	+	1.15503i
$241$	241.722	+	87.9795i	1.00299	+	0.365060i	0.790739	−	0.612154i	$-0.209697\pi$
$241$	241.722	+	87.9795i	1.00299	+	0.365060i	0.212256	+	0.977214i	$0.431919\pi$
$242$	−120.129	−	171.328i	−0.496402	−	0.707966i
$243$	−239.935	−	38.4722i	−0.987388	−	0.158322i
$244$	−142.177	+	392.198i	−0.582693	+	1.60737i
$245$	168.783	+	61.4321i	0.688912	+	0.250743i
$246$	163.052	−	202.904i	0.662813	−	0.824813i
$247$	184.362	−	219.714i	0.746406	−	0.889532i
$248$	−395.379	+	35.3601i	−1.59427	+	0.142581i
$249$	187.357	+	12.5162i	0.752438	+	0.0502657i
$250$	124.723	+	33.3335i	0.498893	+	0.133334i
$251$	40.4851	−	23.3741i	0.161295	−	0.0931237i	−0.417180	−	0.908824i	$-0.636981\pi$
$251$	40.4851	−	23.3741i	0.161295	−	0.0931237i	0.578475	+	0.815700i	$0.303648\pi$
$252$	−309.462	+	68.2090i	−1.22803	+	0.270671i
$253$	−36.1775	+	62.6612i	−0.142994	+	0.247673i
$254$	−44.5734	−	44.5161i	−0.175486	−	0.175260i
$255$	116.651	−	264.210i	0.457456	−	1.03612i
$256$	−129.139	−	221.041i	−0.504449	−	0.863441i
$257$	−214.289	+	77.9949i	−0.833810	+	0.303482i	−0.723422	−	0.690407i	$-0.757432\pi$
$257$	−214.289	+	77.9949i	−0.833810	+	0.303482i	−0.110388	+	0.993889i	$0.535209\pi$
$258$	−88.1512	+	77.2112i	−0.341671	+	0.299268i
$259$	250.074	−	44.0947i	0.965535	−	0.170250i
$260$	195.485	+	232.363i	0.751867	+	0.893703i
$261$	380.647	−	83.3856i	1.45842	−	0.319485i
$262$	−146.789	−	68.3338i	−0.560263	−	0.260816i
$263$	99.5544	+	118.644i	0.378534	+	0.451119i	0.921351	−	0.388732i	$-0.127087\pi$
$263$	99.5544	+	118.644i	0.378534	+	0.451119i	−0.542817	+	0.839851i	$0.682642\pi$
$264$	−31.1572	+	91.9900i	−0.118020	+	0.348447i
$265$	88.8732	−	504.025i	0.335371	−	1.90198i
$266$	36.2870	−	417.858i	0.136417	−	1.57089i
$267$	−48.4102	+	50.4430i	−0.181311	+	0.188925i
$268$	−211.814	−	177.269i	−0.790350	−	0.661452i
$269$	69.6193			0.258808			0.129404	−	0.991592i	$-0.458694\pi$
$269$	69.6193			0.258808			0.129404	+	0.991592i	$0.458694\pi$
$270$	273.976	+	202.206i	1.01473	+	0.748909i
$271$			237.786i			0.877438i	0.898624	+	0.438719i	$0.144568\pi$
$271$			237.786i			0.877438i	−0.898624	+	0.438719i	$0.855432\pi$
$272$	122.681	+	211.233i	0.451034	+	0.776592i
$273$	−75.9508	+	308.707i	−0.278208	+	1.13079i
$274$	17.6295	−	203.010i	0.0643412	−	0.740912i
$275$	−58.8367	−	10.3745i	−0.213952	−	0.0377255i
$276$	−213.278	+	23.3646i	−0.772748	+	0.0846542i
$277$	−133.236	+	111.798i	−0.480995	+	0.403603i	−0.850786	−	0.525512i	$-0.823874\pi$
$277$	−133.236	+	111.798i	−0.480995	+	0.403603i	0.369791	+	0.929115i	$0.379429\pi$
$278$	−398.324	−	185.430i	−1.43282	−	0.667013i
$279$	−59.4010	+	442.609i	−0.212907	+	1.58641i
$280$	429.146	+	114.102i	1.53266	+	0.407508i
$281$	−47.2360	−	267.889i	−0.168100	−	0.953341i	−0.945811	−	0.324719i	$-0.894730\pi$
$281$	−47.2360	−	267.889i	−0.168100	−	0.953341i	0.777711	−	0.628622i	$-0.216381\pi$
$282$	20.4165	+	6.94439i	0.0723989	+	0.0246255i
$283$	160.917	+	442.115i	0.568610	+	1.56224i	0.806675	+	0.590995i	$0.201265\pi$
$283$	160.917	+	442.115i	0.568610	+	1.56224i	−0.238065	+	0.971249i	$0.576513\pi$
$284$	−223.916	+	0.288031i	−0.788438	+	0.00101419i
$285$	−363.798	+	266.046i	−1.27648	+	0.933496i
$286$	68.9424	+	68.8538i	0.241057	+	0.240748i
$287$	−330.719	−	190.941i	−1.15233	−	0.665299i
$288$	−274.609	+	86.7972i	−0.953504	+	0.301379i
$289$	27.9569	+	48.4228i	0.0967367	+	0.167553i
$290$	−527.531	−	140.988i	−1.81907	−	0.486165i
$291$	−254.466	+	125.092i	−0.874455	+	0.429870i
$292$	−89.6449	−	51.6029i	−0.307003	−	0.176722i
$293$	262.820	+	220.532i	0.896996	+	0.752669i	0.969601	−	0.244692i	$-0.0786869\pi$
$293$	262.820	+	220.532i	0.896996	+	0.752669i	−0.0726053	+	0.997361i	$0.523131\pi$
$294$	61.8449	+	159.322i	0.210357	+	0.541913i
$295$	−106.653	+	293.026i	−0.361535	+	0.993308i
$296$	222.802	−	60.1605i	0.752708	−	0.203245i
$297$	93.1967	+	57.0343i	0.313794	+	0.192035i
$298$	−133.242	−	190.030i	−0.447122	−	0.637684i
$299$	−73.6187	+	202.266i	−0.246216	+	0.676474i
$300$	−78.3610	−	158.888i	−0.261203	−	0.529626i
$301$	131.698	+	110.508i	0.437535	+	0.367135i
$302$	97.2278	+	208.156i	0.321946	+	0.689258i
$303$	335.143	+	224.544i	1.10608	+	0.741070i
$304$	−0.980677	−	381.191i	−0.00322591	−	1.25392i
$305$	−328.827	−	569.545i	−1.07812	−	1.86736i
$306$	262.244	−	82.1473i	0.857005	−	0.268455i
$307$	−251.000	−	144.915i	−0.817589	−	0.472035i	0.0319956	−	0.999488i	$-0.489814\pi$
$307$	−251.000	−	144.915i	−0.817589	−	0.472035i	−0.849584	+	0.527453i	$0.823147\pi$
$308$	140.355	+	24.5623i	0.455698	+	0.0797476i
$309$	20.9594	+	193.624i	0.0678298	+	0.626615i
$310$	358.606	−	512.844i	1.15679	−	1.65434i
$311$	−116.870	−	321.097i	−0.375787	−	1.03247i	−0.973085	−	0.230446i	$-0.925981\pi$
$311$	−116.870	−	321.097i	−0.375787	−	1.03247i	0.597298	−	0.802019i	$-0.296241\pi$
$312$	−43.7603	+	285.596i	−0.140257	+	0.915373i
$313$	48.4649	+	274.858i	0.154840	+	0.878141i	0.958932	+	0.283636i	$0.0915408\pi$
$313$	48.4649	+	274.858i	0.154840	+	0.878141i	−0.804092	+	0.594505i	$0.797348\pi$
$314$	−36.0506	+	3.17738i	−0.114811	+	0.0101191i
$315$	231.784	−	442.538i	0.735822	−	1.40488i
$316$	59.2991	+	333.791i	0.187656	+	1.05630i
$317$	−176.584	+	148.172i	−0.557048	+	0.467419i	−0.877319	−	0.479907i	$-0.840670\pi$
$317$	−176.584	+	148.172i	−0.557048	+	0.467419i	0.320271	+	0.947326i	$0.396226\pi$
$318$	416.479	−	252.377i	1.30968	−	0.793638i
$319$	−172.552	−	30.4257i	−0.540917	−	0.0953782i
$320$	397.709	+	68.5454i	1.24284	+	0.214204i
$321$	−152.790	+	44.3263i	−0.475982	+	0.138088i
$322$	81.6638	+	303.991i	0.253614	+	0.944072i
$323$			363.733i			1.12611i
$324$	27.0333	+	322.870i	0.0834362	+	0.996513i
$325$	−177.732			−0.546868
$326$	216.080	−	58.0474i	0.662821	−	0.178059i
$327$	−161.770	−	557.612i	−0.494710	−	1.70524i
$328$	−314.831	−	146.069i	−0.959852	−	0.445334i
$329$	5.49387	−	31.1573i	0.0166987	−	0.0947030i
$330$	−79.3495	−	130.944i	−0.240453	−	0.396801i
$331$	−65.1143	−	77.6002i	−0.196720	−	0.234442i	0.658663	−	0.752438i	$-0.271122\pi$
$331$	−65.1143	−	77.6002i	−0.196720	−	0.234442i	−0.855383	+	0.517997i	$0.826678\pi$
$332$	−43.7927	−	246.506i	−0.131906	−	0.742489i
$333$	−10.6738	−	259.409i	−0.0320535	−	0.779006i
$334$	−10.4279	−	118.315i	−0.0312212	−	0.354236i
$335$	428.810	−	75.6108i	1.28003	−	0.225704i
$336$	187.375	+	378.700i	0.557664	+	1.12708i
$337$	−191.992	+	69.8794i	−0.569709	+	0.207357i	−0.610782	−	0.791799i	$-0.709145\pi$
$337$	−191.992	+	69.8794i	−0.569709	+	0.207357i	0.0410724	+	0.999156i	$0.486923\pi$
$338$	−39.4503	−	27.5856i	−0.116717	−	0.0816141i
$339$	224.524	−	24.3043i	0.662313	−	0.0716941i
$340$	−379.323	−	66.3819i	−1.11566	−	0.195241i
$341$	100.400	−	173.899i	0.294430	−	0.509967i
$342$	−418.502	−	93.5995i	−1.22369	−	0.273683i
$343$	−156.397	+	90.2957i	−0.455967	+	0.263253i
$344$	128.162	+	89.3719i	0.372564	+	0.259802i
$345$	188.266	−	280.996i	0.545699	−	0.814482i
$346$	165.641	−	77.3696i	0.478732	−	0.223612i
$347$	144.591	−	172.317i	0.416688	−	0.496589i	−0.516345	−	0.856381i	$-0.672708\pi$
$347$	144.591	−	172.317i	0.416688	−	0.496589i	0.933033	+	0.359791i	$0.117152\pi$
$348$	−229.812	−	465.975i	−0.660379	−	1.33901i
$349$	308.560	+	112.307i	0.884127	+	0.321796i	0.743874	−	0.668320i	$-0.232986\pi$
$349$	308.560	+	112.307i	0.884127	+	0.321796i	0.140253	+	0.990116i	$0.455208\pi$
$350$	−212.809	+	149.215i	−0.608026	+	0.426328i
$351$	302.499	+	118.949i	0.861822	+	0.338885i
$352$	129.041	+	10.8716i	0.366592	+	0.0308851i
$353$	28.8261	+	10.4918i	0.0816603	+	0.0297219i	0.382527	−	0.923944i	$-0.375054\pi$
$353$	28.8261	+	10.4918i	0.0816603	+	0.0297219i	−0.300867	+	0.953666i	$0.597276\pi$
$354$	−276.600	+	107.369i	−0.781357	+	0.303303i
$355$	226.900	−	270.409i	0.639156	−	0.761716i
$356$	80.7903	+	46.5058i	0.226939	+	0.130634i
$357$	−177.863	−	361.814i	−0.498215	−	1.01348i
$358$	−162.510	+	608.058i	−0.453937	+	1.69849i
$359$	−285.024	+	164.559i	−0.793939	+	0.458381i	−0.841348	−	0.540494i	$-0.818237\pi$
$359$	−285.024	+	164.559i	−0.793939	+	0.458381i	0.0474081	+	0.998876i	$0.484904\pi$
$360$	173.989	−	419.358i	0.483303	−	1.16488i
$361$	103.304	−	178.927i	0.286159	−	0.495643i
$362$	289.892	−	290.265i	0.800807	−	0.801838i
$363$	185.277	+	253.352i	0.510404	+	0.697938i
$364$	423.883	−	0.545255i	1.16451	−	0.00149795i
$365$	153.229	−	55.7707i	0.419805	−	0.152797i
$366$	201.506	−	592.427i	0.550563	−	1.61865i
$367$	−187.339	+	33.0330i	−0.510461	+	0.0900081i	−0.422946	−	0.906155i	$-0.639004\pi$
$367$	−187.339	+	33.0330i	−0.510461	+	0.0900081i	−0.0875156	+	0.996163i	$0.527893\pi$
$368$	98.5338	+	268.568i	0.267755	+	0.729803i
$369$	−238.467	+	309.167i	−0.646253	+	0.837851i
$370$	−153.543	+	329.828i	−0.414981	+	0.891427i
$371$	−459.233	−	547.292i	−1.23782	−	1.47518i
$372$	591.895	−	64.8419i	1.59112	−	0.174306i
$373$	21.9716	−	124.607i	0.0589052	−	0.334068i	−0.941086	−	0.338166i	$-0.890193\pi$
$373$	21.9716	−	124.607i	0.0589052	−	0.334068i	0.999992	+	0.00409830i	$0.00130453\pi$
$374$	−123.103	−	10.6903i	−0.329153	−	0.0285838i
$375$	−188.044	−	46.2642i	−0.501450	−	0.123371i
$376$	2.45077	−	28.6490i	0.00651800	−	0.0761940i
$377$	−521.241			−1.38260
$378$	462.064	−	111.539i	1.22239	−	0.295076i
$379$		−	101.688i		−	0.268305i	−0.990961	−	0.134153i	$-0.957169\pi$
$379$		−	101.688i		−	0.268305i	0.990961	−	0.134153i	$-0.0428312\pi$
$380$	460.837	+	385.679i	1.21273	+	1.01495i
$381$	68.1768	+	65.4292i	0.178942	+	0.171730i
$382$	62.0558	+	5.38896i	0.162450	+	0.0141072i
$383$	43.3604	+	7.64562i	0.113213	+	0.0199624i	0.229967	−	0.973198i	$-0.426138\pi$
$383$	43.3604	+	7.64562i	0.113213	+	0.0199624i	−0.116755	+	0.993161i	$0.537249\pi$
$384$	200.274	+	327.638i	0.521547	+	0.853223i
$385$	−172.073	+	144.387i	−0.446944	+	0.375030i
$386$	−163.252	+	350.683i	−0.422932	+	0.908506i
$387$	129.894	−	118.427i	0.335643	−	0.306014i
$388$	243.390	+	289.304i	0.627293	+	0.745629i
$389$	79.7241	+	452.138i	0.204946	+	1.16231i	0.897524	+	0.440965i	$0.145364\pi$
$389$	79.7241	+	452.138i	0.204946	+	1.16231i	−0.692578	+	0.721343i	$0.743525\pi$
$390$	−300.112	−	342.635i	−0.769518	−	0.878551i
$391$	−93.3611	−	256.508i	−0.238775	−	0.656029i
$392$	186.410	−	131.062i	0.475536	−	0.334343i
$393$	222.181	+	98.0950i	0.565346	+	0.249606i
$394$	−375.946	+	376.429i	−0.954176	+	0.955405i
$395$	−462.843	−	267.223i	−1.17176	−	0.676513i
$396$	43.9782	−	138.888i	0.111056	−	0.350728i
$397$	38.9350	+	67.4374i	0.0980731	+	0.169868i	0.910887	−	0.412656i	$-0.135399\pi$
$397$	38.9350	+	67.4374i	0.0980731	+	0.169868i	−0.812814	+	0.582523i	$0.802065\pi$
$398$	−15.3796	+	57.5453i	−0.0386421	+	0.144586i
$399$	−41.9359	+	627.747i	−0.105102	+	1.57330i
$400$	−180.559	+	152.300i	−0.451398	+	0.380751i
$401$	−430.076	−	360.877i	−1.07251	−	0.899943i	−0.0772323	−	0.997013i	$-0.524608\pi$
$401$	−430.076	−	360.877i	−1.07251	−	0.899943i	−0.995278	+	0.0970705i	$0.969053\pi$
$402$	322.954	+	259.523i	0.803368	+	0.645579i
$403$	204.308	−	561.332i	0.506969	−	1.39288i
$404$	183.316	−	505.680i	0.453753	−	1.25168i
$405$	−416.924	−	295.063i	−1.02944	−	0.728550i
$406$	−624.112	+	437.607i	−1.53722	+	1.07785i
$407$	−39.9276	+	109.700i	−0.0981023	+	0.269534i
$408$	−190.296	−	313.122i	−0.466412	−	0.767455i
$409$	286.590	+	240.478i	0.700710	+	0.587966i	0.921976	−	0.387248i	$-0.126574\pi$
$409$	286.590	+	240.478i	0.700710	+	0.587966i	−0.221265	+	0.975214i	$0.571019\pi$
$410$	495.724	−	231.548i	1.20908	−	0.564751i
$411$	−20.3739	+	304.981i	−0.0495715	+	0.742046i
$412$	243.899	−	89.1274i	0.591987	−	0.216329i
$413$	217.648	+	376.978i	0.526993	+	0.912779i
$414$	319.156	−	41.4118i	0.770908	−	0.100028i
$415$	341.812	+	197.345i	0.823644	+	0.475531i
$416$	383.663	−	34.8098i	0.922268	−	0.0836774i
$417$	602.907	+	266.189i	1.44582	+	0.638343i
$418$	158.025	+	110.499i	0.378050	+	0.264351i
$419$	−119.164	−	327.401i	−0.284402	−	0.781388i	−0.996824	−	0.0796365i	$-0.974624\pi$
$419$	−119.164	−	327.401i	−0.284402	−	0.781388i	0.712422	−	0.701751i	$-0.247598\pi$
$420$	−647.000	−	158.298i	−1.54048	−	0.376901i
$421$	28.8481	+	163.606i	0.0685227	+	0.388612i	0.999710	+	0.0240712i	$0.00766283\pi$
$421$	28.8481	+	163.606i	0.0685227	+	0.388612i	−0.931188	+	0.364541i	$0.881226\pi$
$422$	−19.7661	−	224.267i	−0.0468392	−	0.531438i
$423$	−30.8261	−	9.80456i	−0.0728750	−	0.0231786i
$424$	−460.013	−	458.241i	−1.08494	−	1.08076i
$425$	172.662	−	144.881i	0.406264	−	0.340896i
$426$	335.799	−	7.12166i	0.788261	−	0.0167175i
$427$	−904.095	−	159.416i	−2.11732	−	0.373340i
$428$	106.296	+	183.565i	0.248356	+	0.428890i
$429$	−105.450	−	101.201i	−0.245805	−	0.235899i
$430$	−237.881	+	63.9039i	−0.553211	+	0.148614i
$431$		−	149.947i		−	0.347904i	−0.984754	−	0.173952i	$-0.944346\pi$
$431$		−	149.947i		−	0.347904i	0.984754	−	0.173952i	$-0.0556538\pi$
$432$	409.239	−	138.374i	0.947313	−	0.320311i
$433$	−117.205			−0.270681			−0.135341	−	0.990799i	$-0.543213\pi$
$433$	−117.205			−0.270681			−0.135341	+	0.990799i	$0.543213\pi$
$434$	−226.635	−	843.644i	−0.522201	−	1.94388i
$435$	795.351	+	195.679i	1.82839	+	0.449838i
$436$	−669.925	+	387.931i	−1.53653	+	0.889751i
$437$	−73.9691	+	419.499i	−0.169266	+	0.959953i
$438$	135.982	+	74.7108i	0.310462	+	0.170573i
$439$	−88.8615	−	105.901i	−0.202418	−	0.241232i	0.655280	−	0.755386i	$-0.272551\pi$
$439$	−88.8615	−	105.901i	−0.202418	−	0.241232i	−0.857698	+	0.514154i	$0.828106\pi$
$440$	−144.075	+	144.632i	−0.327443	+	0.328709i
$441$	−97.5088	−	237.088i	−0.221108	−	0.537615i
$442$	−366.175	+	32.2735i	−0.828450	+	0.0730169i
$443$	−528.154	+	93.1279i	−1.19222	+	0.210221i	−0.734334	−	0.678789i	$-0.762505\pi$
$443$	−528.154	+	93.1279i	−1.19222	+	0.210221i	−0.457888	+	0.889010i	$0.651394\pi$
$444$	−332.339	+	96.8793i	−0.748511	+	0.218197i
$445$	−138.094	+	50.2620i	−0.310323	+	0.112948i
$446$	56.0655	−	80.1796i	0.125707	−	0.179775i
$447$	205.501	+	281.007i	0.459735	+	0.628652i
$448$	430.158	−	363.784i	0.960175	−	0.812017i
$449$	228.269	−	395.373i	0.508394	−	0.880564i	−0.491559	−	0.870844i	$-0.663573\pi$
$449$	228.269	−	395.373i	0.508394	−	0.880564i	0.999953	−	0.00971998i	$-0.00309401\pi$
$450$	122.265	+	235.943i	0.271700	+	0.524318i
$451$	152.043	−	87.7818i	0.337123	−	0.194638i
$452$	−103.351	−	282.822i	−0.228653	−	0.625712i
$453$	−152.032	−	309.267i	−0.335611	−	0.682709i
$454$	299.020	+	640.175i	0.658635	+	1.41008i
$455$	−429.532	+	511.897i	−0.944027	+	1.12505i
$456$	12.8591	+	571.644i	0.0281999	+	1.25360i
$457$	−544.589	−	198.214i	−1.19166	−	0.433729i	−0.331354	−	0.943506i	$-0.607505\pi$
$457$	−544.589	−	198.214i	−1.19166	−	0.433729i	−0.860306	+	0.509778i	$0.829728\pi$
$458$	248.674	+	354.658i	0.542956	+	0.774362i
$459$	−390.833	+	131.031i	−0.851489	+	0.285471i
$460$	−423.981	−	153.699i	−0.921698	−	0.334128i
$461$	377.847	+	137.525i	0.819624	+	0.298319i	0.717593	−	0.696463i	$-0.245244\pi$
$461$	377.847	+	137.525i	0.819624	+	0.298319i	0.102031	+	0.994781i	$0.467466\pi$
$462$	−211.225	−	32.6428i	−0.457196	−	0.0706555i
$463$	542.788	−	646.870i	1.17233	−	1.39713i	0.271786	−	0.962358i	$-0.412386\pi$
$463$	542.788	−	646.870i	1.17233	−	1.39713i	0.900542	−	0.434769i	$-0.143170\pi$
$464$	−529.531	+	446.656i	−1.14123	+	0.962621i
$465$	−522.481	+	779.827i	−1.12361	+	1.67705i
$466$	33.5655	+	8.97071i	0.0720289	+	0.0192504i
$467$	592.887	−	342.304i	1.26957	−	0.732984i	0.294660	−	0.955602i	$-0.404793\pi$
$467$	592.887	−	342.304i	1.26957	−	0.732984i	0.974906	+	0.222618i	$0.0714601\pi$
$468$	57.0949	−	429.617i	0.121998	−	0.917985i
$469$	303.912	−	526.392i	0.648001	−	1.12237i
$470$	32.0729	+	32.0316i	0.0682401	+	0.0681524i
$471$	53.9702	−	5.84217i	0.114587	−	0.0124038i
$472$	227.538	+	323.627i	0.482073	+	0.685651i
$473$	−74.2705	+	27.0323i	−0.157020	+	0.0571507i
$474$	−98.9034	−	498.815i	−0.208657	−	1.05235i
$475$	−346.386	+	61.0772i	−0.729234	+	0.128584i
$476$	−411.348	+	346.064i	−0.864176	+	0.727026i
$477$	−617.054	+	390.933i	−1.29361	+	0.819566i
$478$	239.816	+	111.640i	0.501706	+	0.233557i
$479$	311.792	+	371.580i	0.650924	+	0.775740i	0.986053	−	0.166432i	$-0.0532245\pi$
$479$	311.792	+	371.580i	0.650924	+	0.775740i	−0.335129	+	0.942172i	$0.608780\pi$
$480$	−598.493	−	90.9158i	−1.24686	−	0.189408i
$481$	−60.3060	+	342.012i	−0.125376	+	0.711045i
$482$	−44.5094	+	512.541i	−0.0923431	+	1.06336i
$483$	−131.553	−	453.457i	−0.272367	−	0.938834i
$484$	268.590	−	320.930i	0.554938	−	0.663079i
$485$	−596.007			−1.22888
$486$	−50.1880	−	483.402i	−0.103267	−	0.994654i
$487$			77.9383i			0.160038i	0.996793	+	0.0800188i	$0.0254980\pi$
$487$			77.9383i			0.160038i	−0.996793	+	0.0800188i	$0.974502\pi$
$488$	−831.310	−	71.1142i	−1.70350	−	0.145726i
$489$	−322.321	+	93.5094i	−0.659143	+	0.191226i
$490$	−31.0789	+	357.884i	−0.0634263	+	0.730376i
$491$	398.433	+	70.2545i	0.811473	+	0.143085i	0.563962	−	0.825801i	$-0.309276\pi$
$491$	398.433	+	70.2545i	0.811473	+	0.143085i	0.247511	+	0.968885i	$0.420387\pi$
$492$	476.517	+	209.655i	0.968531	+	0.426128i
$493$	506.372	−	424.897i	1.02712	−	0.861860i
$494$	520.044	+	242.094i	1.05272	+	0.490068i
$495$	122.913	+	194.007i	0.248309	+	0.391934i
$496$	−273.453	−	745.335i	−0.551317	−	1.50269i
$497$	−85.5663	−	485.271i	−0.172166	−	0.976399i
$498$	73.0407	+	368.378i	0.146668	+	0.739715i
$499$	246.492	+	677.231i	0.493971	+	1.35718i	0.897017	+	0.441996i	$0.145729\pi$
$499$	246.492	+	677.231i	0.493971	+	1.35718i	−0.403046	+	0.915180i	$0.632048\pi$
$500$	0.332133	+	258.201i	0.000664265	+	0.516403i
$501$	19.1735	+	177.125i	0.0382704	+	0.353543i
$502$	66.1543	+	66.0693i	0.131782	+	0.131612i
$503$	204.980	+	118.346i	0.407516	+	0.235279i	0.689722	−	0.724074i	$-0.257733\pi$
$503$	204.980	+	118.346i	0.407516	+	0.235279i	−0.282206	+	0.959354i	$0.591066\pi$
$504$	−292.321	−	562.340i	−0.580002	−	1.11575i
$505$	423.973	+	734.343i	0.839551	+	1.45415i
$506$	−139.803	−	37.3638i	−0.276291	−	0.0738414i
$507$	59.9878	+	40.1915i	0.118319	+	0.0792732i
$508$	62.8554	−	109.193i	0.123731	−	0.214947i
$509$	−472.945	−	396.848i	−0.929165	−	0.779662i	0.0465023	−	0.998918i	$-0.485193\pi$
$509$	−472.945	−	396.848i	−0.929165	−	0.779662i	−0.975667	+	0.219256i	$0.929637\pi$
$510$	570.855	+	88.2205i	1.11932	+	0.172981i
$511$	77.8522	−	213.897i	0.152353	−	0.418586i
$512$	359.937	−	364.128i	0.703002	−	0.711188i
$513$	630.425	+	127.868i	1.22890	+	0.249256i
$514$	−261.839	−	373.433i	−0.509414	−	0.726524i
$515$	−140.011	+	384.676i	−0.271865	+	0.746943i
$516$	−194.875	−	130.202i	−0.377664	−	0.252330i
$517$	11.1421	+	9.34935i	0.0215515	+	0.0180839i
$518$	214.928	+	460.142i	0.414919	+	0.888304i
$519$	−246.101	+	120.980i	−0.474184	+	0.233102i
$520$	−347.379	+	498.152i	−0.668037	+	0.957985i
$521$	188.649	+	326.750i	0.362090	+	0.627159i	0.988305	−	0.152492i	$-0.0487299\pi$
$521$	188.649	+	326.750i	0.362090	+	0.627159i	−0.626214	+	0.779651i	$0.715397\pi$
$522$	358.571	+	691.959i	0.686917	+	1.32559i
$523$	718.669	+	414.924i	1.37413	+	0.793353i	0.991445	−	0.130527i	$-0.0416669\pi$
$523$	718.669	+	414.924i	1.37413	+	0.793353i	0.382683	+	0.923880i	$0.375000\pi$
$524$	55.8222	−	318.982i	0.106531	−	0.608745i
$525$	314.692	−	230.135i	0.599414	−	0.438353i
$526$	−177.507	+	253.853i	−0.337466	+	0.482611i
$527$	259.098	+	711.865i	0.491647	+	1.35079i
$528$	−193.847	−	12.4489i	−0.367135	−	0.0235774i
$529$	36.3485	+	206.142i	0.0687117	+	0.389683i
$530$	1019.65	−	89.8685i	1.92386	−	0.169563i
$531$	411.611	−	169.286i	0.775161	−	0.318805i
$532$	825.929	−	146.729i	1.55250	−	0.275807i
$533$	400.089	−	335.715i	0.750637	−	0.629859i
$534$	−122.551	−	67.3312i	−0.229496	−	0.126088i
$535$	−329.318	−	58.0676i	−0.615547	−	0.108538i
$536$	232.492	−	501.104i	0.433755	−	0.934895i
$537$	225.550	−	916.762i	0.420018	−	1.70719i
$538$	36.1241	+	134.471i	0.0671452	+	0.249946i
$539$			115.270i			0.213858i
$540$	−248.403	+	634.110i	−0.460005	+	1.17428i
$541$	947.380			1.75116			0.875582	−	0.483069i	$-0.160478\pi$
$541$	947.380			1.75116			0.875582	+	0.483069i	$0.160478\pi$
$542$	−459.288	+	123.382i	−0.847394	+	0.227643i
$543$	−426.080	+	443.972i	−0.784678	+	0.817629i
$544$	−344.344	+	346.566i	−0.632985	+	0.637069i
$545$	211.919	−	1201.85i	0.388843	−	2.20524i
$546$	−635.683	+	13.4816i	−1.16425	+	0.0246916i
$547$	202.576	+	241.421i	0.370341	+	0.441355i	0.918741	−	0.394861i	$-0.129207\pi$
$547$	202.576	+	241.421i	0.370341	+	0.441355i	−0.548400	+	0.836216i	$0.684763\pi$
$548$	401.265	−	71.2861i	0.732235	−	0.130084i
$549$	−284.500	+	894.485i	−0.518215	+	1.62930i
$550$	−10.4907	−	119.027i	−0.0190740	−	0.216413i
$551$	−1015.86	+	179.123i	−1.84366	+	0.325087i
$552$	−155.795	−	399.828i	−0.282237	−	0.724325i
$553$	−701.058	+	255.164i	−1.26774	+	0.461418i
$554$	−285.073	−	199.337i	−0.514573	−	0.359815i
$555$	220.415	−	499.231i	0.397144	−	0.899515i
$556$	151.478	−	865.586i	0.272443	−	1.55681i
$557$	−197.912	+	342.794i	−0.355318	+	0.615429i	−0.987172	−	0.159659i	$-0.948961\pi$
$557$	−197.912	+	342.794i	−0.355318	+	0.615429i	0.631854	+	0.775087i	$0.282294\pi$
$558$	−885.729	+	114.927i	−1.58733	+	0.205962i
$559$	−203.624	+	117.563i	−0.364266	+	0.210309i
$560$	2.28481	+	888.109i	0.00408002	+	1.58591i
$561$	184.937	+	12.3545i	0.329657	+	0.0220223i
$562$	492.922	−	230.239i	0.877086	−	0.409679i
$563$	14.0883	−	16.7898i	0.0250236	−	0.0298219i	−0.753388	−	0.657577i	$-0.771582\pi$
$563$	14.0883	−	16.7898i	0.0250236	−	0.0298219i	0.778411	+	0.627755i	$0.216026\pi$
$564$	−2.81951	+	43.0381i	−0.00499913	+	0.0763087i
$565$	446.065	+	162.355i	0.789496	+	0.287353i
$566$	−770.457	+	540.219i	−1.36123	+	0.954450i
$567$	−689.626	+	181.079i	−1.21627	+	0.319364i
$568$	−116.742	−	432.349i	−0.205532	−	0.761178i
$569$	71.8483	+	26.1506i	0.126271	+	0.0459589i	0.404383	−	0.914590i	$-0.367486\pi$
$569$	71.8483	+	26.1506i	0.126271	+	0.0459589i	−0.278112	+	0.960549i	$0.589709\pi$
$570$	−702.641	−	564.636i	−1.23270	−	0.990590i
$571$	551.758	−	657.560i	0.966301	−	1.15159i	−0.0221043	−	0.999756i	$-0.507037\pi$
$571$	551.758	−	657.560i	0.966301	−	1.15159i	0.988406	−	0.151837i	$-0.0485190\pi$
$572$	−97.2195	+	168.890i	−0.169964	+	0.295263i
$573$	−93.2262	−	6.22787i	−0.162698	−	0.0108689i
$574$	197.202	−	737.866i	0.343558	−	1.28548i
$575$	228.598	−	131.981i	0.397561	−	0.229532i
$576$	−310.140	−	485.375i	−0.538437	−	0.842666i
$577$	358.886	−	621.609i	0.621986	−	1.07731i	−0.367129	−	0.930170i	$-0.619659\pi$
$577$	358.886	−	621.609i	0.621986	−	1.07731i	0.989115	−	0.147142i	$-0.0470075\pi$
$578$	−79.0232	+	79.1249i	−0.136718	+	0.136894i
$579$	234.352	−	530.798i	0.404753	−	0.916750i
$580$	−1.40479	−	1092.09i	−0.00242205	−	1.88292i
$581$	517.735	−	188.440i	0.891110	−	0.324338i
$582$	−373.656	−	426.599i	−0.642020	−	0.732987i
$583$	323.461	−	57.0350i	0.554822	−	0.0978301i
$584$	53.1569	−	199.927i	0.0910221	−	0.342340i
$585$	460.315	+	504.884i	0.786864	+	0.863050i
$586$	−289.589	+	622.071i	−0.494180	+	1.06155i
$587$	−296.445	−	353.290i	−0.505017	−	0.601856i	0.451953	−	0.892042i	$-0.350727\pi$
$587$	−296.445	−	353.290i	−0.505017	−	0.601856i	−0.956970	+	0.290186i	$0.906283\pi$
$588$	−275.644	+	202.124i	−0.468782	+	0.343748i
$589$	205.281	−	1164.20i	0.348524	−	1.97658i
$590$	−621.325	−	53.9563i	−1.05309	−	0.0914513i
$591$	552.560	−	575.764i	0.934958	−	0.974220i
$592$	231.809	+	399.129i	0.391568	+	0.674205i
$593$	680.046			1.14679			0.573395	−	0.819279i	$-0.305626\pi$
$593$	680.046			1.14679			0.573395	+	0.819279i	$0.305626\pi$
$594$	−61.8049	+	209.605i	−0.104049	+	0.352871i
$595$		−	847.434i		−	1.42426i
$596$	297.909	−	355.963i	0.499847	−	0.597253i
$597$	21.3455	−	86.7603i	0.0357547	−	0.145327i
$598$	−428.879	−	37.2441i	−0.717189	−	0.0622812i
$599$	−401.294	−	70.7590i	−0.669941	−	0.118129i	−0.171676	−	0.985153i	$-0.554918\pi$
$599$	−401.294	−	70.7590i	−0.669941	−	0.118129i	−0.498265	+	0.867025i	$0.666029\pi$
$600$	266.235	−	233.799i	0.443724	−	0.389666i
$601$	−95.1408	+	79.8326i	−0.158304	+	0.132833i	−0.718499	−	0.695528i	$-0.755171\pi$
$601$	−95.1408	+	79.8326i	−0.158304	+	0.132833i	0.560195	+	0.828361i	$0.310726\pi$
$602$	−145.112	+	311.717i	−0.241050	+	0.517803i
$603$	−492.088	−	379.558i	−0.816067	−	0.629450i
$604$	−351.608	+	295.805i	−0.582132	+	0.489744i
$605$	114.562	+	649.713i	0.189359	+	1.07391i
$606$	−259.812	+	763.846i	−0.428733	+	1.26047i
$607$	72.4290	+	198.997i	0.119323	+	0.327837i	0.984947	−	0.172858i	$-0.0553001\pi$
$607$	72.4290	+	198.997i	0.119323	+	0.327837i	−0.865624	+	0.500695i	$0.833078\pi$
$608$	735.768	−	199.687i	1.21015	−	0.328432i
$609$	922.909	−	674.926i	1.51545	−	1.10825i
$610$	929.465	−	930.662i	1.52371	−	1.52568i
$611$	37.4725	+	21.6348i	0.0613299	+	0.0354088i
$612$	294.742	+	463.904i	0.481605	+	0.758013i
$613$	−348.189	−	603.082i	−0.568009	−	0.983820i	−0.996763	−	0.0803988i	$-0.974381\pi$
$613$	−348.189	−	603.082i	−0.568009	−	0.983820i	0.428754	−	0.903421i	$-0.358953\pi$
$614$	149.667	−	560.004i	0.243757	−	0.912058i
$615$	−736.520	+	362.063i	−1.19759	+	0.588721i
$616$	25.3850	+	283.843i	0.0412094	+	0.460784i
$617$	164.966	+	138.423i	0.267368	+	0.224349i	0.766608	−	0.642115i	$-0.221943\pi$
$617$	164.966	+	138.423i	0.267368	+	0.224349i	−0.499240	+	0.866464i	$0.666387\pi$
$618$	−363.113	+	140.951i	−0.587561	+	0.228076i
$619$	−275.355	+	756.532i	−0.444839	+	1.22218i	0.491435	+	0.870914i	$0.336472\pi$
$619$	−275.355	+	756.532i	−0.444839	+	1.22218i	−0.936274	+	0.351270i	$0.885750\pi$
$620$	1176.64	+	426.549i	1.89781	+	0.687983i
$621$	−477.402	+	71.6404i	−0.768763	+	0.115363i
$622$	559.563	−	392.347i	0.899619	−	0.630783i
$623$	−70.1624	+	192.770i	−0.112620	+	0.309421i
$624$	−574.341	+	63.6666i	−0.920418	+	0.102030i
$625$	−594.548	−	498.885i	−0.951277	−	0.798216i
$626$	−505.746	+	236.229i	−0.807901	+	0.377363i
$627$	−240.292	−	160.994i	−0.383240	−	0.256769i
$628$	−24.8431	−	67.9837i	−0.0395591	−	0.108254i
$629$	−220.211	−	381.416i	−0.350096	−	0.606385i
$630$	975.038	+	218.071i	1.54768	+	0.346144i
$631$	−834.435	−	481.761i	−1.32240	−	0.763488i	−0.338289	−	0.941042i	$-0.609848\pi$
$631$	−834.435	−	481.761i	−1.32240	−	0.763488i	−0.984111	+	0.177554i	$0.943182\pi$
$632$	−613.954	+	287.735i	−0.971446	+	0.455277i
$633$	36.3435	+	335.743i	0.0574147	+	0.530399i
$634$	−377.823	−	264.192i	−0.595935	−	0.416707i
$635$	67.9321	+	186.642i	0.106980	+	0.293924i
$636$	703.573	+	673.483i	1.10625	+	1.05893i
$637$	59.5461	+	337.703i	0.0934789	+	0.530145i
$638$	−30.7664	−	349.076i	−0.0482232	−	0.547140i
$639$	−503.386	+	20.7127i	−0.787772	+	0.0324142i
$640$	73.9667	+	803.749i	0.115573	+	1.25586i
$641$	−661.366	+	554.952i	−1.03177	+	0.865760i	−0.991061	−	0.133411i	$-0.957407\pi$
$641$	−661.366	+	554.952i	−1.03177	+	0.865760i	−0.0407115	+	0.999171i	$0.512962\pi$
$642$	−164.897	−	272.117i	−0.256849	−	0.423858i
$643$	883.667	+	155.814i	1.37429	+	0.242324i	0.811536	−	0.584302i	$-0.198632\pi$
$643$	883.667	+	155.814i	1.37429	+	0.242324i	0.562751	+	0.826626i	$0.309743\pi$
$644$	−544.791	+	315.470i	−0.845949	+	0.489861i
$645$	354.841	−	102.944i	0.550141	−	0.159603i
$646$	−702.556	+	188.734i	−1.08755	+	0.292157i
$647$		−	878.052i		−	1.35711i	−0.734549	−	0.678556i	$-0.762606\pi$
$647$		−	878.052i		−	1.35711i	0.734549	−	0.678556i	$-0.237394\pi$
$648$	−609.603	+	219.746i	−0.940745	+	0.339115i
$649$	−200.120			−0.308352
$650$	−92.2217	−	343.293i	−0.141880	−	0.528143i
$651$	365.090	+	1258.44i	0.560814	+	1.93309i
$652$	224.239	+	387.242i	0.343925	+	0.593930i
$653$	52.9434	−	300.257i	0.0810771	−	0.459811i	−0.917057	−	0.398756i	$-0.869442\pi$
$653$	52.9434	−	300.257i	0.0810771	−	0.459811i	0.998134	−	0.0610557i	$-0.0194467\pi$
$654$	993.098	−	601.796i	1.51850	−	0.920177i
$655$	328.145	+	391.068i	0.500985	+	0.597051i
$656$	118.776	−	683.895i	0.181061	−	1.04252i
$657$	−206.165	−	107.981i	−0.313798	−	0.164355i
$658$	63.0316	−	5.55540i	0.0957926	−	0.00844286i
$659$	985.857	−	173.833i	1.49599	−	0.263783i	0.635042	−	0.772478i	$-0.280983\pi$
$659$	985.857	−	173.833i	1.49599	−	0.263783i	0.860947	+	0.508694i	$0.169872\pi$
$660$	211.749	−	221.210i	0.320831	−	0.335166i
$661$	−944.242	+	343.676i	−1.42850	+	0.519933i	−0.936503	−	0.350661i	$-0.885957\pi$
$661$	−944.242	+	343.676i	−1.42850	+	0.519933i	−0.492002	+	0.870594i	$0.663735\pi$
$662$	116.100	−	166.035i	0.175377	−	0.250808i
$663$	548.189	−	59.3404i	0.826831	−	0.0895029i
$664$	453.408	−	212.494i	0.682844	−	0.320021i
$665$	−661.214	+	1145.26i	−0.994306	+	1.72219i
$666$	495.515	−	155.219i	0.744016	−	0.233062i
$667$	670.416	−	387.065i	1.00512	−	0.580307i
$668$	223.116	−	81.5328i	0.334006	−	0.122055i
$669$	−81.6862	+	121.921i	−0.122102	+	0.182243i
$670$	368.545	+	789.022i	0.550067	+	1.17764i
$671$	271.291	−	323.312i	0.404309	−	0.481836i
$672$	−634.241	+	558.419i	−0.943811	+	0.830980i
$673$	−557.788	−	203.018i	−0.828808	−	0.301662i	−0.107439	−	0.994212i	$-0.534265\pi$
$673$	−557.788	−	203.018i	−0.828808	−	0.301662i	−0.721370	+	0.692550i	$0.756487\pi$
$674$	−234.594	−	334.577i	−0.348063	−	0.496405i
$675$	−190.410	−	350.192i	−0.282089	−	0.518803i
$676$	32.8121	−	90.5125i	0.0485386	−	0.133894i
$677$	−419.692	−	152.755i	−0.619929	−	0.225636i	0.0129131	−	0.999917i	$-0.495890\pi$
$677$	−419.692	−	152.755i	−0.619929	−	0.225636i	−0.632842	+	0.774281i	$0.718112\pi$
$678$	163.445	+	421.061i	0.241070	+	0.621034i
$679$	−534.791	+	637.339i	−0.787615	+	0.938643i
$680$	−68.6055	−	767.114i	−0.100890	−	1.12811i
$681$	−467.567	−	951.139i	−0.686589	−	1.39668i
$682$	387.985	+	103.693i	0.568892	+	0.152042i
$683$	−740.219	+	427.366i	−1.08378	+	0.625718i	−0.931912	−	0.362683i	$-0.881861\pi$
$683$	−740.219	+	427.366i	−1.08378	+	0.625718i	−0.151863	+	0.988402i	$0.548527\pi$
$684$	−36.3632	−	856.911i	−0.0531626	−	1.25279i
$685$	−321.240	+	556.405i	−0.468964	+	0.812269i
$686$	−255.559	−	255.230i	−0.372535	−	0.372056i
$687$	−383.533	−	524.452i	−0.558272	−	0.763394i
$688$	−106.123	+	293.920i	−0.154248	+	0.427210i
$689$	918.175	−	334.188i	1.33262	−	0.485034i
$690$	640.437	+	217.836i	0.928170	+	0.315704i
$691$	−1014.01	+	178.797i	−1.46745	+	0.258750i	−0.849550	−	0.527509i	$-0.823126\pi$
$691$	−1014.01	+	178.797i	−1.46745	+	0.258750i	−0.617897	+	0.786259i	$0.712015\pi$
$692$	235.389	+	279.794i	0.340157	+	0.404326i
$693$	317.749	+	42.6440i	0.458513	+	0.0615354i
$694$	407.858	+	189.868i	0.587691	+	0.273585i
$695$	890.450	+	1061.20i	1.28122	+	1.52690i
$696$	780.795	−	685.671i	1.12183	−	0.985160i
$697$	−115.014	+	652.277i	−0.165013	+	0.935836i
$698$	−56.8167	+	654.264i	−0.0813992	+	0.937341i
$699$	−50.6062	−	12.4506i	−0.0723980	−	0.0178120i
$700$	−398.633	−	333.620i	−0.569476	−	0.476600i
$701$	−164.190			−0.234222			−0.117111	−	0.993119i	$-0.537363\pi$
$701$	−164.190			−0.234222			−0.117111	+	0.993119i	$0.537363\pi$
$702$	−72.7902	+	646.003i	−0.103690	+	0.920232i
$703$			687.280i			0.977639i
$704$	45.9580	+	254.885i	0.0652813	+	0.362053i
$705$	−49.0567	−	47.0797i	−0.0695840	−	0.0667797i
$706$	−5.30788	+	61.1221i	−0.00751825	+	0.0865752i
$707$	1165.69	+	205.543i	1.64879	+	0.290726i
$708$	−350.908	−	478.547i	−0.495633	−	0.675914i
$709$	−199.551	+	167.443i	−0.281454	+	0.236168i	−0.772575	−	0.634924i	$-0.781032\pi$
$709$	−199.551	+	167.443i	−0.281454	+	0.236168i	0.491121	+	0.871091i	$0.336587\pi$
$710$	640.035	+	297.952i	0.901457	+	0.419651i
$711$	163.228	+	745.120i	0.229575	+	1.04799i
$712$	−47.9064	+	180.179i	−0.0672842	+	0.253060i
$713$	154.057	+	873.698i	0.216068	+	1.22538i
$714$	606.560	−	531.283i	0.849524	−	0.744094i
$715$	−105.072	−	288.682i	−0.146953	−	0.403751i
$716$	−1258.80	+	1.61923i	−1.75810	+	0.00226150i
$717$	−362.988	−	160.262i	−0.506259	−	0.223518i
$718$	−465.742	−	465.143i	−0.648666	−	0.647832i
$719$	129.283	+	74.6416i	0.179809	+	0.103813i	0.587203	−	0.809440i	$-0.300229\pi$
$719$	129.283	+	74.6416i	0.179809	+	0.103813i	−0.407394	+	0.913253i	$0.633562\pi$
$720$	900.277	+	118.466i	1.25038	+	0.164536i
$721$	285.722	+	494.885i	0.396286	+	0.686387i
$722$	399.203	+	106.691i	0.552913	+	0.147771i
$723$	51.4382	−	769.989i	0.0711455	−	1.06499i
$724$	711.072	+	409.319i	0.982144	+	0.565358i
$725$	489.663	+	410.876i	0.675397	+	0.566725i
$726$	−393.217	+	489.325i	−0.541621	+	0.674001i
$727$	−18.1243	+	49.7962i	−0.0249303	+	0.0684954i	−0.951533	−	0.307545i	$-0.900492\pi$
$727$	−18.1243	+	49.7962i	−0.0249303	+	0.0684954i	0.926603	+	0.376041i	$0.122715\pi$
$728$	220.998	+	818.456i	0.303569	+	1.12425i
$729$	89.7091	+	723.459i	0.123058	+	0.992400i
$730$	187.230	+	267.026i	0.256479	+	0.365789i
$731$	101.983	−	280.197i	0.139512	−	0.383306i
$732$	1248.84	+	81.8140i	1.70607	+	0.111768i
$733$	−68.7825	−	57.7154i	−0.0938370	−	0.0787386i	0.594662	−	0.803976i	$-0.297286\pi$
$733$	−68.7825	−	57.7154i	−0.0938370	−	0.0787386i	−0.688499	+	0.725237i	$0.741730\pi$
$734$	−161.010	−	344.709i	−0.219360	−	0.469631i
$735$	35.9170	−	537.648i	0.0488666	−	0.731494i
$736$	−467.616	+	329.674i	−0.635348	+	0.447927i
$737$	139.719	+	242.000i	0.189577	+	0.328358i
$738$	−720.898	−	300.183i	−0.976827	−	0.406753i
$739$	190.957	+	110.249i	0.258399	+	0.149187i	0.623604	−	0.781740i	$-0.285668\pi$
$739$	190.957	+	110.249i	0.258399	+	0.149187i	−0.365205	+	0.930927i	$0.619001\pi$
$740$	−716.739	−	125.430i	−0.968566	−	0.169500i
$741$	−787.144	−	347.531i	−1.06227	−	0.469003i
$742$	818.818	−	1171.00i	1.10353	−	1.57816i
$743$	−117.725	−	323.447i	−0.158445	−	0.435325i	0.834914	−	0.550381i	$-0.185518\pi$
$743$	−117.725	−	323.447i	−0.158445	−	0.435325i	−0.993359	+	0.115056i	$0.963295\pi$
$744$	432.366	+	1109.61i	0.581137	+	1.49141i
$745$	127.068	+	720.636i	0.170560	+	0.967296i
$746$	252.082	−	22.2177i	0.337911	−	0.0297824i
$747$	−120.545	−	550.275i	−0.161372	−	0.736647i
$748$	−43.2272	−	243.323i	−0.0577903	−	0.325298i
$749$	−357.587	+	300.051i	−0.477420	+	0.400603i
$750$	−8.21210	−	387.215i	−0.0109495	−	0.516287i
$751$	−577.725	−	101.868i	−0.769274	−	0.135644i	−0.224781	−	0.974409i	$-0.572167\pi$
$751$	−577.725	−	101.868i	−0.769274	−	0.135644i	−0.544493	+	0.838765i	$0.683278\pi$
$752$	56.6076	−	10.1317i	0.0752761	−	0.0134730i
$753$	−101.186	−	97.1079i	−0.134377	−	0.128961i
$754$	−270.462	−	1006.79i	−0.358702	−	1.33526i
$755$		−	724.361i		−	0.959419i
$756$	455.195	+	834.609i	0.602110	+	1.10398i
$757$	352.312			0.465406			0.232703	−	0.972548i	$-0.425243\pi$
$757$	352.312			0.465406			0.232703	+	0.972548i	$0.425243\pi$
$758$	196.412	−	52.7637i	0.259118	−	0.0696091i
$759$	210.779	+	51.8578i	0.277706	+	0.0683238i
$760$	−505.827	+	1090.24i	−0.665562	+	1.43452i
$761$	43.3833	−	246.039i	0.0570083	−	0.323310i	−0.942945	−	0.332948i	$-0.891957\pi$
$761$	43.3833	−	246.039i	0.0570083	−	0.323310i	0.999954	+	0.00963779i	$0.00306785\pi$
$762$	−91.0022	+	165.635i	−0.119425	+	0.217368i
$763$	−1095.05	−	1305.03i	−1.43518	−	1.71039i
$764$	21.7907	+	122.658i	0.0285218	+	0.160547i
$765$	−858.748	−	115.250i	−1.12255	−	0.150653i
$766$	7.73124	+	87.7186i	0.0100930	+	0.114515i
$767$	−586.288	+	103.378i	−0.764391	+	0.134783i
$768$	−528.920	+	556.837i	−0.688698	+	0.725049i
$769$	−1188.05	+	432.413i	−1.54492	+	0.562306i	−0.967220	−	0.253941i	$-0.918273\pi$
$769$	−1188.05	+	432.413i	−1.54492	+	0.562306i	−0.577703	+	0.816247i	$0.696051\pi$
$770$	−368.171	−	257.443i	−0.478144	−	0.334342i
$771$	403.837	+	552.216i	0.523784	+	0.716234i
$772$	−762.060	−	133.361i	−0.987124	−	0.172748i
$773$	−748.700	+	1296.79i	−0.968564	+	1.67760i	−0.268845	+	0.963183i	$0.586642\pi$
$773$	−748.700	+	1296.79i	−0.968564	+	1.67760i	−0.699719	+	0.714419i	$0.746691\pi$
$774$	296.144	+	189.443i	0.382615	+	0.244758i
$775$	−634.410	+	366.277i	−0.818593	+	0.472615i
$776$	−432.506	+	620.226i	−0.557353	+	0.799261i
$777$	−336.075	−	683.654i	−0.432529	−	0.879864i
$778$	−831.945	+	388.594i	−1.06934	+	0.499478i
$779$	664.376	−	791.773i	0.852858	−	1.01640i
$780$	506.083	−	757.458i	0.648824	−	0.971101i
$781$	212.875	+	77.4800i	0.272567	+	0.0992062i
$782$	447.006	−	313.425i	0.571619	−	0.400800i
$783$	−558.423	−	1027.02i	−0.713183	−	1.31165i
$784$	349.874	+	292.048i	0.446268	+	0.372511i
$785$	107.224	+	39.0262i	0.136591	+	0.0497149i
$786$	−74.1868	+	480.046i	−0.0943853	+	0.610746i
$787$	−346.942	+	413.469i	−0.440841	+	0.525373i	−0.940017	−	0.341127i	$-0.889191\pi$
$787$	−346.942	+	413.469i	−0.440841	+	0.525373i	0.499177	+	0.866500i	$0.333636\pi$
$788$	−922.151	−	530.824i	−1.17024	−	0.673634i
$789$	258.623	−	386.008i	0.327786	−	0.489237i
$790$	275.985	−	1032.65i	0.349348	−	1.30715i
$791$	573.863	−	331.320i	0.725490	−	0.418862i
$792$	291.085	+	12.8783i	0.367532	+	0.0162605i
$793$	627.779	−	1087.34i	0.791651	−	1.37118i
$794$	−110.054	+	110.196i	−0.138607	+	0.138785i
$795$	−1526.48	+	165.239i	−1.92011	+	0.207848i
$796$	−119.130	+	0.153241i	−0.149661	+	0.000192513i
$797$	−311.665	+	113.437i	−0.391048	+	0.142330i	−0.530058	−	0.847961i	$-0.677830\pi$
$797$	−311.665	+	113.437i	−0.391048	+	0.142330i	0.139011	+	0.990291i	$0.455608\pi$
$798$	−1234.26	+	244.726i	−1.54670	+	0.306674i
$799$	−54.0396	+	9.52863i	−0.0676340	+	0.0119257i
$800$	−387.859	−	269.727i	−0.484824	−	0.337159i
$801$	185.801	+	97.3155i	0.231962	+	0.121492i
$802$	473.882	−	1017.95i	0.590876	−	1.26927i
$803$	67.2655	+	80.1639i	0.0837678	+	0.0998306i
$804$	−333.699	+	758.453i	−0.415048	+	0.943349i
$805$	172.335	−	977.362i	0.214081	−	1.21411i
$806$	1190.24	+	103.361i	1.47672	+	0.128239i
$807$	−58.1929	−	200.587i	−0.0721101	−	0.248559i
$808$	1071.85	+	91.6910i	1.32655	+	0.113479i
$809$	34.7466			0.0429501			0.0214750	−	0.999769i	$-0.493164\pi$
$809$	34.7466			0.0429501			0.0214750	+	0.999769i	$0.493164\pi$
$810$	353.586	−	958.398i	0.436526	−	1.18321i
$811$			873.324i			1.07685i	0.842674	+	0.538424i	$0.180980\pi$
$811$			873.324i			1.07685i	−0.842674	+	0.538424i	$0.819020\pi$
$812$	−1169.09	−	978.419i	−1.43976	−	1.20495i
$813$	685.109	−	198.759i	0.842692	−	0.244475i
$814$	−232.606	−	20.1996i	−0.285756	−	0.0248153i
$815$	−694.717	−	122.497i	−0.852414	−	0.150304i
$816$	506.059	−	530.033i	0.620170	−	0.649550i
$817$	−356.448	+	299.096i	−0.436289	+	0.366090i
$818$	−315.781	+	678.334i	−0.386041	+	0.829259i
$819$	952.932	−	39.2100i	1.16353	−	0.0478754i
$820$	704.460	+	837.353i	0.859098	+	1.02116i
$821$	−210.789	−	1195.44i	−0.256747	−	1.45608i	−0.791548	−	0.611106i	$-0.790725\pi$
$821$	−210.789	−	1195.44i	−0.256747	−	1.45608i	0.534802	−	0.844978i	$-0.320386\pi$
$822$	−599.648	+	118.896i	−0.729499	+	0.144643i
$823$	248.432	+	682.560i	0.301861	+	0.829357i	0.994177	+	0.107762i	$0.0343684\pi$
$823$	248.432	+	682.560i	0.301861	+	0.829357i	−0.692316	+	0.721595i	$0.743409\pi$
$824$	298.705	+	424.849i	0.362507	+	0.515593i
$825$	19.2890	+	178.192i	0.0233806	+	0.215991i
$826$	−615.206	+	615.998i	−0.744802	+	0.745760i
$827$	194.573	+	112.337i	0.235276	+	0.135837i	0.613004	−	0.790080i	$-0.289961\pi$
$827$	194.573	+	112.337i	0.235276	+	0.135837i	−0.377728	+	0.925917i	$0.623294\pi$
$828$	245.591	+	594.968i	0.296608	+	0.718560i
$829$	−206.345	−	357.399i	−0.248908	−	0.431121i	0.714315	−	0.699824i	$-0.246738\pi$
$829$	−206.345	−	357.399i	−0.248908	−	0.431121i	−0.963223	+	0.268703i	$0.913405\pi$
$830$	−203.817	+	762.616i	−0.245562	+	0.918814i
$831$	433.481	+	290.430i	0.521637	+	0.349495i
$832$	266.311	+	722.991i	0.320085	+	0.868979i
$833$	−333.131	−	279.530i	−0.399917	−	0.335570i
$834$	−201.312	+	1302.65i	−0.241382	+	1.56193i
$835$	−128.080	+	351.898i	−0.153390	+	0.421434i
$836$	−131.435	+	362.564i	−0.157218	+	0.433689i
$837$	1324.90	−	198.818i	1.58291	−	0.237537i
$838$	570.550	−	400.050i	0.680847	−	0.477387i
$839$	440.665	−	1210.72i	0.525226	−	1.44305i	−0.339406	−	0.940640i	$-0.610226\pi$
$839$	440.665	−	1210.72i	0.525226	−	1.44305i	0.864632	−	0.502406i	$-0.167552\pi$
$840$	−29.9596	−	1331.83i	−0.0356662	−	1.58551i
$841$	791.806	+	664.404i	0.941506	+	0.790017i
$842$	−301.038	+	140.612i	−0.357528	+	0.166998i
$843$	−732.358	+	360.017i	−0.868752	+	0.427067i
$844$	422.919	−	154.546i	0.501089	−	0.183112i
$845$	75.8877	+	131.441i	0.0898079	+	0.155552i
$846$	2.94262	−	64.6286i	0.00347828	−	0.0763932i
$847$	797.564	+	460.474i	0.941634	+	0.543653i
$848$	646.410	−	1126.30i	0.762276	−	1.32818i
$849$	1139.32	−	833.185i	1.34195	−	0.981372i
$850$	369.431	+	258.324i	0.434625	+	0.303911i
$851$	−176.408	−	484.676i	−0.207295	−	0.569537i
$852$	187.995	+	644.907i	0.220652	+	0.756933i
$853$	−184.006	−	1043.55i	−0.215717	−	1.22339i	−0.879658	−	0.475606i	$-0.842229\pi$
$853$	−184.006	−	1043.55i	−0.215717	−	1.22339i	0.663942	−	0.747784i	$-0.268882\pi$
$854$	−161.202	−	1828.99i	−0.188761	−	2.14168i
$855$	1070.62	+	825.794i	1.25219	+	0.965841i
$856$	−299.404	+	300.561i	−0.349771	+	0.351123i
$857$	362.506	−	304.178i	0.422994	−	0.354934i	−0.406307	−	0.913737i	$-0.633184\pi$
$857$	362.506	−	304.178i	0.422994	−	0.354934i	0.829301	+	0.558803i	$0.188739\pi$
$858$	140.755	−	256.190i	0.164050	−	0.298590i
$859$	318.137	+	56.0961i	0.370357	+	0.0653039i	0.355729	−	0.934589i	$-0.384233\pi$
$859$	318.137	+	56.0961i	0.370357	+	0.0653039i	0.0146277	+	0.999893i	$0.495344\pi$
$860$	−246.863	−	426.312i	−0.287050	−	0.495712i
$861$	−273.700	+	1112.47i	−0.317886	+	1.29207i
$862$	289.625	−	77.8044i	0.335992	−	0.0902604i
$863$		−	1003.38i		−	1.16266i	−0.813668	−	0.581330i	$-0.802532\pi$
$863$		−	1003.38i		−	1.16266i	0.813668	−	0.581330i	$-0.197468\pi$
$864$	479.618	+	718.653i	0.555114	+	0.831774i
$865$	−576.415			−0.666375
$866$	−60.8153	−	226.383i	−0.0702256	−	0.261413i
$867$	116.147	−	121.025i	0.133965	−	0.139590i
$868$	1511.92	−	875.500i	1.74184	−	1.00864i
$869$	59.5585	−	337.773i	0.0685369	−	0.388692i
$870$	34.7340	+	1637.77i	0.0399241	+	1.88249i
$871$	534.343	+	636.805i	0.613482	+	0.731120i
$872$	−1096.91	−	1092.68i	−1.25792	−	1.25308i
$873$	573.117	+	628.608i	0.656492	+	0.720055i
$874$	−848.652	+	74.7975i	−0.970998	+	0.0855806i
$875$	−559.573	+	98.6678i	−0.639512	+	0.112763i
$876$	−73.7466	+	301.418i	−0.0841856	+	0.344085i
$877$	375.169	−	136.550i	0.427787	−	0.155702i	−0.119149	−	0.992876i	$-0.538017\pi$
$877$	375.169	−	136.550i	0.427787	−	0.155702i	0.546935	+	0.837175i	$0.315794\pi$
$878$	158.441	−	226.588i	0.180457	−	0.258072i
$879$	415.713	−	941.573i	0.472939	−	1.07119i
$880$	−354.117	−	203.237i	−0.402406	−	0.230951i
$881$	628.998	−	1089.46i	0.713959	−	1.23661i	−0.249400	−	0.968401i	$-0.580233\pi$
$881$	628.998	−	1089.46i	0.713959	−	1.23661i	0.963360	−	0.268213i	$-0.0864332\pi$
$882$	407.345	−	311.361i	0.461842	−	0.353017i
$883$	−26.0807	+	15.0577i	−0.0295365	+	0.0170529i	−0.514696	−	0.857373i	$-0.672095\pi$
$883$	−26.0807	+	15.0577i	−0.0295365	+	0.0170529i	0.485159	+	0.874426i	$0.338762\pi$
$884$	−252.338	−	690.527i	−0.285450	−	0.781139i
$885$	933.415	+	62.3557i	1.05471	+	0.0704584i
$886$	−453.927	−	971.818i	−0.512333	−	1.09686i
$887$	−208.670	+	248.683i	−0.235253	+	0.280364i	−0.870736	−	0.491752i	$-0.836357\pi$
$887$	−208.670	+	248.683i	−0.235253	+	0.280364i	0.635482	+	0.772115i	$0.280801\pi$
$888$	−359.568	−	591.650i	−0.404919	−	0.666272i
$889$	260.540	+	94.8287i	0.293070	+	0.106669i
$890$	−168.736	−	240.650i	−0.189591	−	0.270394i
$891$	86.4268	−	316.192i	0.0969997	−	0.354873i
$892$	183.960	+	66.6880i	0.206233	+	0.0747623i
$893$	80.4659	+	29.2872i	0.0901074	+	0.0327964i
$894$	−436.140	+	542.739i	−0.487853	+	0.607091i
$895$	1275.57	−	1520.17i	1.42522	−	1.69851i
$896$	925.856	+	642.099i	1.03332	+	0.716628i
$897$	644.304	+	43.0420i	0.718288	+	0.0479844i
$898$	882.115	+	235.754i	0.982311	+	0.262532i
$899$	−1860.55	+	1074.19i	−2.06958	+	1.19487i
$900$	−392.288	+	358.584i	−0.435875	+	0.398426i
$901$	−619.566	+	1073.12i	−0.687642	+	1.19103i
$902$	248.444	+	248.125i	0.275437	+	0.275083i
$903$	208.312	−	471.819i	0.230689	−	0.522501i
$904$	492.649	−	346.375i	0.544966	−	0.383158i
$905$	−1215.43	+	442.379i	−1.34301	+	0.488816i
$906$	518.469	−	454.125i	0.572262	−	0.501241i
$907$	−1332.50	+	234.956i	−1.46913	+	0.259047i	−0.850226	−	0.526418i	$-0.823535\pi$
$907$	−1332.50	+	234.956i	−1.46913	+	0.259047i	−0.618905	+	0.785465i	$0.712424\pi$
$908$	−1081.35	+	909.737i	−1.19092	+	1.00191i
$909$	366.820	−	1153.30i	0.403543	−	1.26876i
$910$	−1211.61	−	564.036i	−1.33144	−	0.619820i
$911$	433.248	+	516.324i	0.475574	+	0.566767i	0.949488	−	0.313805i	$-0.101604\pi$
$911$	433.248	+	516.324i	0.475574	+	0.566767i	−0.473914	+	0.880571i	$0.657159\pi$
$912$	−1097.47	+	321.452i	−1.20336	+	0.352470i
$913$	−43.9843	+	249.447i	−0.0481756	+	0.273217i
$914$	100.278	−	1154.73i	0.109713	−	1.26338i
$915$	−1366.12	+	1423.48i	−1.49302	+	1.55572i
$916$	−555.996	+	664.343i	−0.606982	+	0.725266i
$917$	712.629			0.777131
$918$	−455.885	−	686.912i	−0.496607	−	0.748270i
$919$			1384.80i			1.50685i	0.657534	+	0.753425i	$0.271600\pi$
$919$			1384.80i			1.50685i	−0.657534	+	0.753425i	$0.728400\pi$
$920$	76.8772	−	898.678i	0.0835622	−	0.976824i
$921$	−207.725	+	844.311i	−0.225543	+	0.916733i
$922$	−69.5747	+	801.177i	−0.0754606	+	0.868955i
$923$	663.679	+	117.025i	0.719046	+	0.126787i
$924$	−46.5500	−	424.922i	−0.0503788	−	0.459872i
$925$	326.249	−	273.755i	0.352702	−	0.295952i
$926$	1531.08	+	712.757i	1.65344	+	0.769716i
$927$	540.350	−	222.233i	0.582902	−	0.239734i
$928$	−1137.49	−	791.038i	−1.22574	−	0.852412i
$929$	218.722	+	1240.43i	0.235438	+	1.33523i	0.841690	+	0.539961i	$0.181561\pi$
$929$	218.722	+	1240.43i	0.235438	+	1.33523i	−0.606252	+	0.795272i	$0.707328\pi$
$930$	−1777.36	−	604.544i	−1.91114	−	0.650047i
$931$	232.102	+	637.694i	0.249303	+	0.684956i
$932$	0.0893834	+	69.4871i	9.59049e−5	+	0.0745569i
$933$	−827.456	+	605.121i	−0.886877	+	0.648575i
$934$	968.804	+	967.558i	1.03726	+	1.03593i
$935$	337.398	+	194.797i	0.360853	+	0.208339i
$936$	859.438	−	112.640i	0.918203	−	0.120342i
$937$	−429.804	−	744.443i	−0.458703	−	0.794496i	0.540190	−	0.841543i	$-0.318352\pi$
$937$	−429.804	−	744.443i	−0.458703	−	0.794496i	−0.998893	+	0.0470467i	$0.985019\pi$
$938$	1174.43	+	313.878i	1.25206	+	0.334625i
$939$	751.411	−	369.383i	0.800225	−	0.393380i
$940$	−45.2277	+	78.5699i	−0.0481146	+	0.0835850i
$941$	−109.878	−	92.1984i	−0.116767	−	0.0979791i	0.582535	−	0.812806i	$-0.302061\pi$
$941$	−109.878	−	92.1984i	−0.116767	−	0.0979791i	−0.699302	+	0.714827i	$0.746506\pi$
$942$	39.2884	+	101.213i	0.0417074	+	0.107445i
$943$	−265.296	+	728.894i	−0.281332	+	0.772953i
$944$	−507.027	+	607.418i	−0.537105	+	0.643452i
$945$	−1468.78	−	297.911i	−1.55427	−	0.315250i
$946$	−90.7509	−	129.428i	−0.0959311	−	0.136816i
$947$	302.546	−	831.238i	0.319478	−	0.877759i	−0.671168	−	0.741305i	$-0.734207\pi$
$947$	302.546	−	831.238i	0.319478	−	0.877759i	0.990646	−	0.136454i	$-0.0435705\pi$
$948$	912.152	−	449.859i	0.962186	−	0.474535i
$949$	238.478	+	200.106i	0.251294	+	0.210860i
$950$	−297.705	−	637.359i	−0.313373	−	0.670905i
$951$	574.515	+	384.922i	0.604116	+	0.404755i
$952$	−881.870	−	614.960i	−0.926334	−	0.645966i
$953$	−376.513	−	652.140i	−0.395082	−	0.684302i	0.598030	−	0.801474i	$-0.295951\pi$
$953$	−376.513	−	652.140i	−0.395082	−	0.684302i	−0.993112	+	0.117172i	$0.962617\pi$
$954$	−1075.27	−	989.004i	−1.12712	−	1.03669i
$955$	−170.081	−	98.1963i	−0.178095	−	0.102823i
$956$	−91.1993	+	521.136i	−0.0953968	+	0.545122i
$957$	56.5694	+	522.590i	0.0591112	+	0.546071i
$958$	−555.930	+	795.038i	−0.580303	+	0.829894i
$959$	306.744	+	842.773i	0.319859	+	0.878804i
$960$	−134.941	−	1203.17i	−0.140563	−	1.25331i
$961$	−260.665	−	1478.31i	−0.271244	−	1.53830i
$962$	−691.895	+	60.9814i	−0.719225	+	0.0633902i
$963$	255.426	+	403.168i	0.265240	+	0.418658i
$964$	−1013.08	+	179.977i	−1.05091	+	0.186698i
$965$	934.275	−	783.950i	0.968161	−	0.812383i
$966$	807.599	−	489.388i	0.836024	−	0.506613i
$967$	−1807.24	−	318.666i	−1.86892	−	0.329541i	−0.879646	−	0.475628i	$-0.842221\pi$
$967$	−1807.24	−	318.666i	−1.86892	−	0.329541i	−0.989272	+	0.146087i	$0.953332\pi$
$968$	759.249	+	352.262i	0.784348	+	0.363907i
$969$	1047.99	−	304.034i	1.08151	−	0.313760i
$970$	−309.257	−	1151.20i	−0.318821	−	1.18680i
$971$			1398.13i			1.43989i	0.694031	+	0.719945i	$0.255833\pi$
$971$			1398.13i			1.43989i	−0.694031	+	0.719945i	$0.744167\pi$
$972$	907.658	−	347.767i	0.933804	−	0.357785i
$973$	1933.78			1.98744
$974$	−150.539	+	40.4407i	−0.154558	+	0.0415202i
$975$	148.561	+	512.082i	0.152371	+	0.525212i
$976$	−293.992	−	1642.59i	−0.301221	−	1.68298i
$977$	27.4421	−	155.632i	0.0280881	−	0.159296i	−0.967538	−	0.252727i	$-0.918673\pi$
$977$	27.4421	−	155.632i	0.0280881	−	0.159296i	0.995626	+	0.0934315i	$0.0297836\pi$
$978$	−347.861	−	574.049i	−0.355686	−	0.586962i
$979$	−60.6214	−	72.2457i	−0.0619217	−	0.0737955i
$980$	−707.386	+	125.670i	−0.721823	+	0.128234i
$981$	−1471.37	+	932.185i	−1.49987	+	0.950239i
$982$	71.0413	+	806.035i	0.0723435	+	0.820809i
$983$	−972.425	+	171.465i	−0.989242	+	0.174430i	−0.644779	−	0.764369i	$-0.723050\pi$
$983$	−972.425	+	171.465i	−0.989242	+	0.174430i	−0.344464	+	0.938800i	$0.611939\pi$
$984$	−157.697	+	1029.19i	−0.160261	+	1.04592i
$985$	1576.22	−	573.697i	1.60022	−	0.582434i
$986$	1083.44	+	757.597i	1.09883	+	0.768354i
$987$	−94.3626	+	10.2146i	−0.0956055	+	0.0103491i
$988$	−197.767	+	1130.09i	−0.200169	+	1.14382i
$989$	174.600	−	302.416i	0.176542	−	0.305780i
$990$	−310.951	+	338.075i	−0.314092	+	0.341490i
$991$	528.087	−	304.891i	0.532883	−	0.307660i	−0.209307	−	0.977850i	$-0.567121\pi$
$991$	528.087	−	304.891i	0.532883	−	0.307660i	0.742190	+	0.670190i	$0.233787\pi$
$992$	1297.74	−	914.920i	1.30820	−	0.922298i
$993$	−169.155	+	252.471i	−0.170347	+	0.254251i
$994$	892.910	−	417.070i	0.898300	−	0.419588i
$995$	120.718	−	143.866i	0.121324	−	0.144589i
$996$	−673.629	+	332.224i	−0.676335	+	0.333558i
$997$	183.098	+	66.6423i	0.183649	+	0.0668428i	0.432208	−	0.901774i	$-0.357735\pi$
$997$	183.098	+	66.6423i	0.183649	+	0.0668428i	−0.248559	+	0.968617i	$0.579957\pi$
$998$	−1180.18	+	827.505i	−1.18255	+	0.829163i
$999$	−738.488	+	247.586i	−0.739227	+	0.247834i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.31.22	yes	204
3.2	odd	2		324.3.j.a.307.13		204
4.3	odd	2	inner	108.3.j.a.31.29	yes	204
12.11	even	2		324.3.j.a.307.6		204
27.7	even	9	inner	108.3.j.a.7.29	yes	204
27.20	odd	18		324.3.j.a.19.6		204
108.7	odd	18	inner	108.3.j.a.7.22	✓	204
108.47	even	18		324.3.j.a.19.13		204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.22	✓	204	108.7	odd	18	inner
108.3.j.a.7.29	yes	204	27.7	even	9	inner
108.3.j.a.31.22	yes	204	1.1	even	1	trivial
108.3.j.a.31.29	yes	204	4.3	odd	2	inner
324.3.j.a.19.6		204	27.20	odd	18
324.3.j.a.19.13		204	108.47	even	18
324.3.j.a.307.6		204	12.11	even	2
324.3.j.a.307.13		204	3.2	odd	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)

\(f(q)\)	\(=\)	\(q+(0.518880 + 1.93152i) q^{2} +(-0.835872 - 2.88120i) q^{3} +(-3.46153 + 2.00445i) q^{4} +(1.09499 - 6.21002i) q^{5} +(5.13137 - 3.10950i) q^{6} +(-5.65814 - 6.74311i) q^{7} +(-5.66776 - 5.64593i) q^{8} +(-7.60264 + 4.81663i) q^{9} +O(q^{10})\)	\(q+(0.518880 + 1.93152i) q^{2} +(-0.835872 - 2.88120i) q^{3} +(-3.46153 + 2.00445i) q^{4} +(1.09499 - 6.21002i) q^{5} +(5.13137 - 3.10950i) q^{6} +(-5.65814 - 6.74311i) q^{7} +(-5.66776 - 5.64593i) q^{8} +(-7.60264 + 4.81663i) q^{9} +(12.5629 - 1.10726i) q^{10} +(3.98532 - 0.702720i) q^{11} +(8.66863 + 8.29788i) q^{12} +(11.3127 - 4.11749i) q^{13} +(10.0885 - 14.4277i) q^{14} +(-18.8076 + 2.03588i) q^{15} +(7.96433 - 13.8769i) q^{16} +(-7.63358 + 13.2217i) q^{17} +(-13.2483 - 12.1854i) q^{18} +(20.6326 - 11.9123i) q^{19} +(8.65735 + 23.6910i) q^{20} +(-14.6988 + 21.9386i) q^{21} +(3.42522 + 7.33310i) q^{22} +(-11.4927 + 13.6965i) q^{23} +(-11.5295 + 21.0492i) q^{24} +(-13.8730 - 5.04937i) q^{25} +(13.8229 + 19.7142i) q^{26} +(20.2325 + 17.8786i) q^{27} +(33.1021 + 12.0000i) q^{28} +(-40.6859 - 14.8084i) q^{29} +(-13.6912 - 35.2708i) q^{30} +(31.8949 - 38.0109i) q^{31} +(30.9361 + 8.18277i) q^{32} +(-5.35590 - 10.8951i) q^{33} +(-29.4990 - 7.88389i) q^{34} +(-48.0705 + 27.7535i) q^{35} +(16.6620 - 31.9120i) q^{36} +(-14.4238 + 24.9828i) q^{37} +(33.7146 + 33.6713i) q^{38} +(-21.3193 - 29.1525i) q^{39} +(-41.2675 + 29.0146i) q^{40} +(40.7670 - 14.8380i) q^{41} +(-50.0018 - 17.0074i) q^{42} +(-19.2340 + 3.39148i) q^{43} +(-12.3867 + 10.4209i) q^{44} +(21.5865 + 52.4867i) q^{45} +(-32.4184 - 15.0916i) q^{46} +(2.31031 + 2.75332i) q^{47} +(-46.6394 - 11.3475i) q^{48} +(-4.94621 + 28.0514i) q^{49} +(2.55450 - 29.4160i) q^{50} +(44.4752 + 10.9422i) q^{51} +(-30.9059 + 36.9286i) q^{52} +81.1632 q^{53} +(-24.0346 + 48.3563i) q^{54} -25.5184i q^{55} +(-6.00214 + 70.1638i) q^{56} +(-51.5678 - 49.4896i) q^{57} +(7.49168 - 86.2693i) q^{58} +(-48.7001 - 8.58715i) q^{59} +(61.0221 - 44.7462i) q^{60} +(79.8933 - 67.0384i) q^{61} +(89.9683 + 41.8825i) q^{62} +(75.4959 + 24.0122i) q^{63} +(0.246975 + 63.9995i) q^{64} +(-13.1823 - 74.7607i) q^{65} +(18.2651 - 15.9983i) q^{66} +(23.6170 + 64.8871i) q^{67} +(-0.0785545 - 61.0686i) q^{68} +(49.0689 + 21.6644i) q^{69} +(-78.5492 - 78.4483i) q^{70} +(48.4794 + 27.9896i) q^{71} +(70.2843 + 15.6244i) q^{72} +(12.9295 + 22.3946i) q^{73} +(-55.7389 - 14.8968i) q^{74} +(-2.95217 + 44.1916i) q^{75} +(-47.5428 + 82.5917i) q^{76} +(-27.2880 - 22.8974i) q^{77} +(45.2464 - 56.3052i) q^{78} +(28.9877 - 79.6430i) q^{79} +(-77.4552 - 64.6538i) q^{80} +(34.6001 - 73.2382i) q^{81} +(49.8130 + 71.0430i) q^{82} +(-21.4076 + 58.8168i) q^{83} +(6.90522 - 105.404i) q^{84} +(73.7486 + 61.8824i) q^{85} +(-16.5309 - 35.3911i) q^{86} +(-8.65792 + 129.602i) q^{87} +(-26.5554 - 18.5180i) q^{88} +(-11.6524 - 20.1826i) q^{89} +(-90.1782 + 68.9291i) q^{90} +(-91.7735 - 52.9855i) q^{91} +(12.3284 - 70.4475i) q^{92} +(-136.177 - 60.1234i) q^{93} +(-4.11931 + 5.89104i) q^{94} +(-51.3827 - 141.173i) q^{95} +(-2.28243 - 95.9729i) q^{96} +(-16.4127 - 93.0811i) q^{97} +(-56.7482 + 5.00160i) q^{98} +(-26.9142 + 24.5383i) 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

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