LMFDB - Embedded newform 32.3.h.a.19.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [32,3,Mod(3,32)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(32, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 3]))

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

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

chi := DirichletCharacter("32.3");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 32 = 2^{5} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	32.h (of order $8$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.871936845953$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			19.3
Character	$\chi$	$=$	32.19
Dual form			32.3.h.a.27.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.360897 + 1.96717i) q^{2} +(2.49683 + 1.03422i) q^{3} +(-3.73951 - 1.41989i) q^{4} +(-0.452310 + 0.187353i) q^{5} +(-2.93558 + 4.53843i) q^{6} +(0.429965 + 0.429965i) q^{7} +(4.14274 - 6.84381i) q^{8} +(-1.19943 - 1.19943i) q^{9} +O(q^{10})$	\(q+(-0.360897 + 1.96717i) q^{2} +(2.49683 + 1.03422i) q^{3} +(-3.73951 - 1.41989i) q^{4} +(-0.452310 + 0.187353i) q^{5} +(-2.93558 + 4.53843i) q^{6} +(0.429965 + 0.429965i) q^{7} +(4.14274 - 6.84381i) q^{8} +(-1.19943 - 1.19943i) q^{9} +(-0.205317 - 0.957385i) q^{10} +(17.3350 - 7.18039i) q^{11} +(-7.86842 - 7.41269i) q^{12} +(-19.9596 - 8.26755i) q^{13} +(-1.00099 + 0.690640i) q^{14} -1.32310 q^{15} +(11.9678 + 10.6194i) q^{16} +13.5961i q^{17} +(2.79234 - 1.92660i) q^{18} +(-3.45810 + 8.34859i) q^{19} +(1.95744 - 0.0583763i) q^{20} +(0.628870 + 1.51823i) q^{21} +(7.86888 + 36.6922i) q^{22} +(-16.8850 + 16.8850i) q^{23} +(17.4217 - 12.8033i) q^{24} +(-17.5082 + 17.5082i) q^{25} +(23.4670 - 36.2802i) q^{26} +(-11.0623 - 26.7067i) q^{27} +(-0.997353 - 2.21836i) q^{28} +(13.8385 - 33.4091i) q^{29} +(0.477505 - 2.60277i) q^{30} +24.5614i q^{31} +(-25.2093 + 19.7102i) q^{32} +50.7086 q^{33} +(-26.7458 - 4.90679i) q^{34} +(-0.275033 - 0.113922i) q^{35} +(2.78221 + 6.18832i) q^{36} +(9.89595 - 4.09904i) q^{37} +(-15.1751 - 9.81565i) q^{38} +(-41.2853 - 41.2853i) q^{39} +(-0.591598 + 3.87168i) q^{40} +(14.4867 + 14.4867i) q^{41} +(-3.21356 + 0.689169i) q^{42} +(17.8494 - 7.39348i) q^{43} +(-75.0197 + 2.23730i) q^{44} +(0.767229 + 0.317796i) q^{45} +(-27.1219 - 39.3094i) q^{46} +43.6087 q^{47} +(18.8988 + 38.8921i) q^{48} -48.6303i q^{49} +(-28.1229 - 40.7602i) q^{50} +(-14.0613 + 33.9471i) q^{51} +(62.9001 + 59.2571i) q^{52} +(28.0630 + 67.7501i) q^{53} +(56.5289 - 12.1230i) q^{54} +(-6.49552 + 6.49552i) q^{55} +(4.72383 - 1.16136i) q^{56} +(-17.2685 + 17.2685i) q^{57} +(60.7270 + 39.2799i) q^{58} +(1.70130 + 4.10730i) q^{59} +(4.94775 + 1.87866i) q^{60} +(3.53360 - 8.53087i) q^{61} +(-48.3165 - 8.86416i) q^{62} -1.03142i q^{63} +(-29.6753 - 56.7043i) q^{64} +10.5769 q^{65} +(-18.3006 + 99.7523i) q^{66} +(-0.300169 - 0.124334i) q^{67} +(19.3050 - 50.8427i) q^{68} +(-59.6218 + 24.6961i) q^{69} +(0.323363 - 0.499921i) q^{70} +(-29.0914 - 29.0914i) q^{71} +(-13.1776 + 3.23972i) q^{72} +(-68.2273 - 68.2273i) q^{73} +(4.49208 + 20.9463i) q^{74} +(-61.8222 + 25.6076i) q^{75} +(24.7857 - 26.3095i) q^{76} +(10.5408 + 4.36612i) q^{77} +(96.1149 - 66.3154i) q^{78} +67.7588 q^{79} +(-7.40274 - 2.56105i) q^{80} -62.8565i q^{81} +(-33.7260 + 23.2695i) q^{82} +(-16.4008 + 39.5950i) q^{83} +(-0.195946 - 6.57034i) q^{84} +(-2.54727 - 6.14965i) q^{85} +(8.10241 + 37.7811i) q^{86} +(69.1047 - 69.1047i) q^{87} +(22.6733 - 148.384i) q^{88} +(-45.3745 + 45.3745i) q^{89} +(-0.902050 + 1.39458i) q^{90} +(-5.02718 - 12.1367i) q^{91} +(87.1165 - 39.1667i) q^{92} +(-25.4019 + 61.3257i) q^{93} +(-15.7383 + 85.7857i) q^{94} -4.42403i q^{95} +(-83.3279 + 23.1410i) q^{96} -119.312 q^{97} +(95.6639 + 17.5505i) q^{98} +(-29.4044 - 12.1797i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 28 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 28 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} - 44 q^{10} - 4 q^{11} - 52 q^{12} - 4 q^{13} - 20 q^{14} - 8 q^{15} + 16 q^{16} + 56 q^{18} - 4 q^{19} + 76 q^{20} - 4 q^{21} + 144 q^{22} - 68 q^{23} + 208 q^{24} - 4 q^{25} + 96 q^{26} - 100 q^{27} + 56 q^{28} - 4 q^{29} + 20 q^{30} - 24 q^{32} - 8 q^{33} - 48 q^{34} + 92 q^{35} - 336 q^{36} - 4 q^{37} - 396 q^{38} + 188 q^{39} - 408 q^{40} - 4 q^{41} - 424 q^{42} + 92 q^{43} - 188 q^{44} - 40 q^{45} - 36 q^{46} - 8 q^{47} + 48 q^{48} + 308 q^{50} + 224 q^{51} + 420 q^{52} - 164 q^{53} + 592 q^{54} + 252 q^{55} + 552 q^{56} - 4 q^{57} + 528 q^{58} + 124 q^{59} + 440 q^{60} - 68 q^{61} + 216 q^{62} - 232 q^{64} - 8 q^{65} - 580 q^{66} - 164 q^{67} - 368 q^{68} + 188 q^{69} - 664 q^{70} - 260 q^{71} - 748 q^{72} - 4 q^{73} - 532 q^{74} - 488 q^{75} - 516 q^{76} + 220 q^{77} - 236 q^{78} - 520 q^{79} + 312 q^{80} + 636 q^{82} - 484 q^{83} + 992 q^{84} + 96 q^{85} + 688 q^{86} - 452 q^{87} + 672 q^{88} - 4 q^{89} + 872 q^{90} - 196 q^{91} + 616 q^{92} + 32 q^{93} + 40 q^{94} - 128 q^{96} - 8 q^{97} - 328 q^{98} + 216 q^{99}+O(q^{100}) \) 28 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 - 44 * q^10 - 4 * q^11 - 52 * q^12 - 4 * q^13 - 20 * q^14 - 8 * q^15 + 16 * q^16 + 56 * q^18 - 4 * q^19 + 76 * q^20 - 4 * q^21 + 144 * q^22 - 68 * q^23 + 208 * q^24 - 4 * q^25 + 96 * q^26 - 100 * q^27 + 56 * q^28 - 4 * q^29 + 20 * q^30 - 24 * q^32 - 8 * q^33 - 48 * q^34 + 92 * q^35 - 336 * q^36 - 4 * q^37 - 396 * q^38 + 188 * q^39 - 408 * q^40 - 4 * q^41 - 424 * q^42 + 92 * q^43 - 188 * q^44 - 40 * q^45 - 36 * q^46 - 8 * q^47 + 48 * q^48 + 308 * q^50 + 224 * q^51 + 420 * q^52 - 164 * q^53 + 592 * q^54 + 252 * q^55 + 552 * q^56 - 4 * q^57 + 528 * q^58 + 124 * q^59 + 440 * q^60 - 68 * q^61 + 216 * q^62 - 232 * q^64 - 8 * q^65 - 580 * q^66 - 164 * q^67 - 368 * q^68 + 188 * q^69 - 664 * q^70 - 260 * q^71 - 748 * q^72 - 4 * q^73 - 532 * q^74 - 488 * q^75 - 516 * q^76 + 220 * q^77 - 236 * q^78 - 520 * q^79 + 312 * q^80 + 636 * q^82 - 484 * q^83 + 992 * q^84 + 96 * q^85 + 688 * q^86 - 452 * q^87 + 672 * q^88 - 4 * q^89 + 872 * q^90 - 196 * q^91 + 616 * q^92 + 32 * q^93 + 40 * q^94 - 128 * q^96 - 8 * q^97 - 328 * q^98 + 216 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/32\mathbb{Z}\right)^\times$.

$n$	$5$	$31$
$\chi(n)$	$e\left(\frac{7}{8}\right)$	$-1$

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 $

$2$	−0.360897	+	1.96717i	−0.180449	+	0.983584i
$2$	−0.360897	+	1.96717i	−0.180449	+	0.983584i
$3$	2.49683	+	1.03422i	0.832276	+	0.344740i	0.757803	−	0.652483i	$-0.226273\pi$
$3$	2.49683	+	1.03422i	0.832276	+	0.344740i	0.0744725	+	0.997223i	$0.476273\pi$
$4$	−3.73951	−	1.41989i	−0.934877	−	0.354973i
$5$	−0.452310	+	0.187353i	−0.0904620	+	0.0374706i	−0.427456	−	0.904036i	$-0.640590\pi$
$5$	−0.452310	+	0.187353i	−0.0904620	+	0.0374706i	0.336994	+	0.941507i	$0.390590\pi$
$6$	−2.93558	+	4.53843i	−0.489264	+	0.756406i
$7$	0.429965	+	0.429965i	0.0614236	+	0.0614236i	0.737151	−	0.675728i	$-0.236170\pi$
$7$	0.429965	+	0.429965i	0.0614236	+	0.0614236i	−0.675728	+	0.737151i	$0.736170\pi$
$8$	4.14274	−	6.84381i	0.517843	−	0.855476i
$9$	−1.19943	−	1.19943i	−0.133270	−	0.133270i
$10$	−0.205317	−	0.957385i	−0.0205317	−	0.0957385i
$11$	17.3350	−	7.18039i	1.57591	−	0.652763i	0.588149	−	0.808752i	$-0.299857\pi$
$11$	17.3350	−	7.18039i	1.57591	−	0.652763i	0.987759	+	0.155990i	$0.0498567\pi$
$12$	−7.86842	−	7.41269i	−0.655702	−	0.617725i
$13$	−19.9596	−	8.26755i	−1.53536	−	0.635965i	−0.554761	−	0.832010i	$-0.687190\pi$
$13$	−19.9596	−	8.26755i	−1.53536	−	0.635965i	−0.980595	+	0.196044i	$0.937190\pi$
$14$	−1.00099	+	0.690640i	−0.0714991	+	0.0493315i
$15$	−1.32310			−0.0882069
$16$	11.9678	+	10.6194i	0.747988	+	0.663712i
$17$			13.5961i			0.799770i	0.916565	+	0.399885i	$0.130950\pi$
$17$			13.5961i			0.799770i	−0.916565	+	0.399885i	$0.869050\pi$
$18$	2.79234	−	1.92660i	0.155130	−	0.107034i
$19$	−3.45810	+	8.34859i	−0.182005	+	0.439399i	−0.988380	−	0.152006i	$-0.951427\pi$
$19$	−3.45810	+	8.34859i	−0.182005	+	0.439399i	0.806374	+	0.591405i	$0.201427\pi$
$20$	1.95744	−	0.0583763i	0.0978718	−	0.00291881i
$21$	0.628870	+	1.51823i	0.0299462	+	0.0722965i
$22$	7.86888	+	36.6922i	0.357677	+	1.66783i
$23$	−16.8850	+	16.8850i	−0.734131	+	0.734131i	−0.971435	−	0.237304i	$-0.923736\pi$
$23$	−16.8850	+	16.8850i	−0.734131	+	0.734131i	0.237304	+	0.971435i	$0.423736\pi$
$24$	17.4217	−	12.8033i	0.725905	−	0.533470i
$25$	−17.5082	+	17.5082i	−0.700327	+	0.700327i
$26$	23.4670	−	36.2802i	0.902579	−	1.39539i
$27$	−11.0623	−	26.7067i	−0.409714	−	0.989136i
$28$	−0.997353	−	2.21836i	−0.0356197	−	0.0792271i
$29$	13.8385	−	33.4091i	0.477190	−	1.15204i	−0.483732	−	0.875216i	$-0.660719\pi$
$29$	13.8385	−	33.4091i	0.477190	−	1.15204i	0.960921	−	0.276821i	$-0.0892810\pi$
$30$	0.477505	−	2.60277i	0.0159168	−	0.0867589i
$31$			24.5614i			0.792305i	0.918185	+	0.396152i	$0.129655\pi$
$31$			24.5614i			0.792305i	−0.918185	+	0.396152i	$0.870345\pi$
$32$	−25.2093	+	19.7102i	−0.787790	+	0.615944i
$33$	50.7086			1.53662
$34$	−26.7458	−	4.90679i	−0.786642	−	0.144317i
$35$	−0.275033	−	0.113922i	−0.00785807	−	0.00325492i
$36$	2.78221	+	6.18832i	0.0772835	+	0.171898i
$37$	9.89595	−	4.09904i	0.267458	−	0.110785i	−0.244924	−	0.969542i	$-0.578763\pi$
$37$	9.89595	−	4.09904i	0.267458	−	0.110785i	0.512382	+	0.858757i	$0.328763\pi$
$38$	−15.1751	−	9.81565i	−0.399344	−	0.258306i
$39$	−41.2853	−	41.2853i	−1.05860	−	1.05860i
$40$	−0.591598	+	3.87168i	−0.0147899	+	0.0967919i
$41$	14.4867	+	14.4867i	0.353334	+	0.353334i	0.861348	−	0.508015i	$-0.169620\pi$
$41$	14.4867	+	14.4867i	0.353334	+	0.353334i	−0.508015	+	0.861348i	$0.669620\pi$
$42$	−3.21356	+	0.689169i	−0.0765134	+	0.0164088i
$43$	17.8494	−	7.39348i	0.415103	−	0.171941i	−0.165350	−	0.986235i	$-0.552875\pi$
$43$	17.8494	−	7.39348i	0.415103	−	0.171941i	0.580453	+	0.814294i	$0.302875\pi$
$44$	−75.0197	+	2.23730i	−1.70499	+	0.0508477i
$45$	0.767229	+	0.317796i	0.0170495	+	0.00706214i
$46$	−27.1219	−	39.3094i	−0.589607	−	0.854553i
$47$	43.6087			0.927845			0.463922	−	0.885876i	$-0.346442\pi$
$47$	43.6087			0.927845			0.463922	+	0.885876i	$0.346442\pi$
$48$	18.8988	+	38.8921i	0.393725	+	0.810253i
$49$		−	48.6303i		−	0.992454i
$50$	−28.1229	−	40.7602i	−0.562458	−	0.815204i
$51$	−14.0613	+	33.9471i	−0.275713	+	0.665629i
$52$	62.9001	+	59.2571i	1.20962	+	1.13956i
$53$	28.0630	+	67.7501i	0.529490	+	1.27830i	0.931857	+	0.362825i	$0.118188\pi$
$53$	28.0630	+	67.7501i	0.529490	+	1.27830i	−0.402367	+	0.915478i	$0.631812\pi$
$54$	56.5289	−	12.1230i	1.04683	−	0.224500i
$55$	−6.49552	+	6.49552i	−0.118100	+	0.118100i
$56$	4.72383	−	1.16136i	0.0843541	−	0.0207386i
$57$	−17.2685	+	17.2685i	−0.302957	+	0.302957i
$58$	60.7270	+	39.2799i	1.04702	+	0.677240i
$59$	1.70130	+	4.10730i	0.0288356	+	0.0696153i	0.937641	−	0.347604i	$-0.113005\pi$
$59$	1.70130	+	4.10730i	0.0288356	+	0.0696153i	−0.908806	+	0.417219i	$0.863005\pi$
$60$	4.94775	+	1.87866i	0.0824626	+	0.0313111i
$61$	3.53360	−	8.53087i	0.0579279	−	0.139850i	−0.892266	−	0.451511i	$-0.850885\pi$
$61$	3.53360	−	8.53087i	0.0579279	−	0.139850i	0.950193	+	0.311661i	$0.100885\pi$
$62$	−48.3165	−	8.86416i	−0.779299	−	0.142970i
$63$		−	1.03142i		−	0.0163718i
$64$	−29.6753	−	56.7043i	−0.463677	−	0.886004i
$65$	10.5769			0.162721
$66$	−18.3006	+	99.7523i	−0.277282	+	1.51140i
$67$	−0.300169	−	0.124334i	−0.00448013	−	0.00185573i	0.380442	−	0.924805i	$-0.375772\pi$
$67$	−0.300169	−	0.124334i	−0.00448013	−	0.00185573i	−0.384922	+	0.922949i	$0.625772\pi$
$68$	19.3050	−	50.8427i	0.283897	−	0.747686i
$69$	−59.6218	+	24.6961i	−0.864084	+	0.357915i
$70$	0.323363	−	0.499921i	0.00461947	−	0.00714173i
$71$	−29.0914	−	29.0914i	−0.409738	−	0.409738i	0.471909	−	0.881647i	$-0.343565\pi$
$71$	−29.0914	−	29.0914i	−0.409738	−	0.409738i	−0.881647	+	0.471909i	$0.843565\pi$
$72$	−13.1776	+	3.23972i	−0.183022	+	0.0449962i
$73$	−68.2273	−	68.2273i	−0.934620	−	0.934620i	0.0633700	−	0.997990i	$-0.479815\pi$
$73$	−68.2273	−	68.2273i	−0.934620	−	0.934620i	−0.997990	+	0.0633700i	$0.979815\pi$
$74$	4.49208	+	20.9463i	0.0607037	+	0.283059i
$75$	−61.8222	+	25.6076i	−0.824296	+	0.341435i
$76$	24.7857	−	26.3095i	0.326127	−	0.346177i
$77$	10.5408	+	4.36612i	0.136893	+	0.0567029i
$78$	96.1149	−	66.3154i	1.23224	−	0.850197i
$79$	67.7588			0.857706			0.428853	−	0.903374i	$-0.358918\pi$
$79$	67.7588			0.857706			0.428853	+	0.903374i	$0.358918\pi$
$80$	−7.40274	−	2.56105i	−0.0925342	−	0.0320131i
$81$		−	62.8565i		−	0.776007i
$82$	−33.7260	+	23.2695i	−0.411292	+	0.283775i
$83$	−16.4008	+	39.5950i	−0.197600	+	0.477048i	−0.991358	−	0.131186i	$-0.958122\pi$
$83$	−16.4008	+	39.5950i	−0.197600	+	0.477048i	0.793758	+	0.608234i	$0.208122\pi$
$84$	−0.195946	−	6.57034i	−0.00233269	−	0.0782184i
$85$	−2.54727	−	6.14965i	−0.0299679	−	0.0723488i
$86$	8.10241	+	37.7811i	0.0942140	+	0.439315i
$87$	69.1047	−	69.1047i	0.794306	−	0.794306i
$88$	22.6733	−	148.384i	0.257651	−	1.68618i
$89$	−45.3745	+	45.3745i	−0.509825	+	0.509825i	−0.914473	−	0.404647i	$-0.867394\pi$
$89$	−45.3745	+	45.3745i	−0.509825	+	0.509825i	0.404647	+	0.914473i	$0.367394\pi$
$90$	−0.902050	+	1.39458i	−0.0100228	+	0.0154953i
$91$	−5.02718	−	12.1367i	−0.0552438	−	0.133370i
$92$	87.1165	−	39.1667i	0.946919	−	0.425725i
$93$	−25.4019	+	61.3257i	−0.273139	+	0.659416i
$94$	−15.7383	+	85.7857i	−0.167428	+	0.912614i
$95$		−	4.42403i		−	0.0465688i
$96$	−83.3279	+	23.1410i	−0.867999	+	0.241052i
$97$	−119.312			−1.23002			−0.615012	−	0.788518i	$-0.710849\pi$
$97$	−119.312			−1.23002			−0.615012	+	0.788518i	$0.710849\pi$
$98$	95.6639	+	17.5505i	0.976163	+	0.179087i
$99$	−29.4044	−	12.1797i	−0.297014	−	0.123027i
$100$	90.3317	−	40.6122i	0.903317	−	0.406122i
$101$	98.7914	−	40.9207i	0.978133	−	0.405156i	0.164399	−	0.986394i	$-0.447431\pi$
$101$	98.7914	−	40.9207i	0.978133	−	0.405156i	0.813734	+	0.581238i	$0.197431\pi$
$102$	−61.7050	−	39.9125i	−0.604951	−	0.391299i
$103$	127.634	+	127.634i	1.23916	+	1.23916i	0.960344	+	0.278817i	$0.0899423\pi$
$103$	127.634	+	127.634i	1.23916	+	1.23916i	0.278817	+	0.960344i	$0.410058\pi$
$104$	−139.269	+	102.349i	−1.33913	+	0.984130i
$105$	−0.568888	−	0.568888i	−0.00541798	−	0.00541798i
$106$	−143.404	+	30.7538i	−1.35286	+	0.290131i
$107$	94.9289	−	39.3208i	0.887186	−	0.367484i	0.107906	−	0.994161i	$-0.465585\pi$
$107$	94.9289	−	39.3208i	0.887186	−	0.367484i	0.779279	+	0.626677i	$0.215585\pi$
$108$	3.44683	+	115.577i	0.0319151	+	1.07016i
$109$	−27.8610	−	11.5404i	−0.255605	−	0.105875i	0.251202	−	0.967935i	$-0.419174\pi$
$109$	−27.8610	−	11.5404i	−0.255605	−	0.105875i	−0.506807	+	0.862060i	$0.669174\pi$
$110$	−10.4336	−	15.1220i	−0.0948507	−	0.137473i
$111$	28.9478			0.260791
$112$	0.579776	+	9.71170i	0.00517658	+	0.0867116i
$113$			140.786i			1.24590i	0.782263	+	0.622948i	$0.214065\pi$
$113$			140.786i			1.24590i	−0.782263	+	0.622948i	$0.785935\pi$
$114$	−27.7380	−	40.2023i	−0.243316	−	0.352652i
$115$	4.47380	−	10.8007i	0.0389026	−	0.0939193i
$116$	−99.1864	+	105.284i	−0.855055	+	0.907623i
$117$	14.0238	+	33.8564i	0.119861	+	0.289371i
$118$	−8.69375	+	1.86443i	−0.0736758	+	0.0158003i
$119$	−5.84584	+	5.84584i	−0.0491247	+	0.0491247i
$120$	−5.48128	+	9.05506i	−0.0456773	+	0.0754589i
$121$	163.384	−	163.384i	1.35028	−	1.35028i
$122$	15.5064	+	10.0300i	0.127102	+	0.0822128i
$123$	21.1883	+	51.1532i	0.172263	+	0.415879i
$124$	34.8746	−	91.8477i	0.281247	−	0.740707i
$125$	9.32274	−	22.5071i	0.0745819	−	0.180057i
$126$	2.02898	+	0.372238i	0.0161030	+	0.00295427i
$127$		−	163.979i		−	1.29117i	−0.763687	−	0.645587i	$-0.776613\pi$
$127$		−	163.979i		−	1.29117i	0.763687	−	0.645587i	$-0.223387\pi$
$128$	122.257	−	37.9120i	0.955130	−	0.296187i
$129$	52.2134			0.404755
$130$	−3.81717	+	20.8065i	−0.0293629	+	0.160050i
$131$	−11.2279	−	4.65074i	−0.0857090	−	0.0355018i	0.339417	−	0.940636i	$-0.389770\pi$
$131$	−11.2279	−	4.65074i	−0.0857090	−	0.0355018i	−0.425126	+	0.905134i	$0.639770\pi$
$132$	−189.625	−	72.0007i	−1.43655	−	0.545460i
$133$	−5.07646	+	2.10274i	−0.0381689	+	0.0158101i
$134$	0.352916	−	0.545611i	0.00263370	−	0.00407172i
$135$	10.0071	+	10.0071i	0.0741270	+	0.0741270i
$136$	93.0490	+	56.3251i	0.684184	+	0.414155i
$137$	21.2983	+	21.2983i	0.155462	+	0.155462i	0.780552	−	0.625090i	$-0.214938\pi$
$137$	21.2983	+	21.2983i	0.155462	+	0.155462i	−0.625090	+	0.780552i	$0.714938\pi$
$138$	−27.0642	−	126.199i	−0.196117	−	0.914484i
$139$	−154.836	+	64.1351i	−1.11393	+	0.461404i	−0.862288	−	0.506418i	$-0.830969\pi$
$139$	−154.836	+	64.1351i	−1.11393	+	0.461404i	−0.251639	+	0.967821i	$0.580969\pi$
$140$	0.866729	+	0.816529i	0.00619092	+	0.00583235i
$141$	108.883	+	45.1010i	0.772223	+	0.319865i
$142$	67.7268	−	46.7287i	0.476949	−	0.329076i
$143$	−405.364			−2.83471
$144$	−1.61734	−	27.0917i	−0.0112315	−	0.188137i
$145$			17.7039i			0.122096i
$146$	158.838	−	109.592i	1.08793	−	0.750627i
$147$	50.2944	−	121.421i	0.342139	−	0.825996i
$148$	−42.8262	+	1.27720i	−0.289366	+	0.00862971i
$149$	−90.9258	−	219.514i	−0.610240	−	1.47325i	−0.862737	−	0.505653i	$-0.831252\pi$
$149$	−90.9258	−	219.514i	−0.610240	−	1.47325i	0.252497	−	0.967598i	$-0.418748\pi$
$150$	−28.0630	−	130.856i	−0.187087	−	0.872376i
$151$	−82.0484	+	82.0484i	−0.543367	+	0.543367i	−0.924514	−	0.381147i	$-0.875529\pi$
$151$	−82.0484	+	82.0484i	−0.543367	+	0.543367i	0.381147	+	0.924514i	$0.375529\pi$
$152$	42.8101	+	58.2526i	0.281645	+	0.383241i
$153$	16.3075	−	16.3075i	0.106585	−	0.106585i
$154$	−12.3930	+	19.1597i	−0.0804742	+	0.124414i
$155$	−4.60166	−	11.1094i	−0.0296881	−	0.0716735i
$156$	95.7659	+	213.007i	0.613884	+	1.36543i
$157$	−52.8906	+	127.689i	−0.336883	+	0.813307i	0.661129	+	0.750272i	$0.270078\pi$
$157$	−52.8906	+	127.689i	−0.336883	+	0.813307i	−0.998011	+	0.0630341i	$0.979922\pi$
$158$	−24.4540	+	133.293i	−0.154772	+	0.843627i
$159$			198.183i			1.24644i
$160$	7.70964	−	13.6382i	0.0481853	−	0.0852385i
$161$	−14.5199			−0.0901859
$162$	123.649	+	22.6848i	0.763268	+	0.140029i
$163$	54.8297	+	22.7112i	0.336379	+	0.139333i	0.544478	−	0.838775i	$-0.316728\pi$
$163$	54.8297	+	22.7112i	0.336379	+	0.139333i	−0.208099	+	0.978108i	$0.566728\pi$
$164$	−33.6035	−	74.7426i	−0.204900	−	0.455747i
$165$	−22.9360	+	9.50040i	−0.139006	+	0.0575782i
$166$	−71.9710	−	46.5528i	−0.433560	−	0.280439i
$167$	−98.7296	−	98.7296i	−0.591195	−	0.591195i	0.346759	−	0.937954i	$-0.387282\pi$
$167$	−98.7296	−	98.7296i	−0.591195	−	0.591195i	−0.937954	+	0.346759i	$0.887282\pi$
$168$	12.9957	+	1.98576i	0.0773553	+	0.0118200i
$169$	210.533	+	210.533i	1.24576	+	1.24576i
$170$	13.0167	−	2.79151i	0.0765688	−	0.0164207i
$171$	14.1613	−	5.86578i	0.0828143	−	0.0343028i
$172$	−77.2460	+	2.30369i	−0.449105	+	0.0133936i
$173$	−6.09221	−	2.52348i	−0.0352151	−	0.0145866i	0.365006	−	0.931005i	$-0.381067\pi$
$173$	−6.09221	−	2.52348i	−0.0352151	−	0.0145866i	−0.400221	+	0.916418i	$0.631067\pi$
$174$	111.001	+	160.880i	0.637936	+	0.924599i
$175$	−15.0558			−0.0860332
$176$	283.713	+	98.1534i	1.61201	+	0.557690i
$177$			12.0147i			0.0678799i
$178$	−72.8837	−	105.635i	−0.409459	−	0.593454i
$179$	80.6673	−	194.748i	0.450655	−	1.08798i	−0.521418	−	0.853301i	$-0.674597\pi$
$179$	80.6673	−	194.748i	0.450655	−	1.08798i	0.972073	−	0.234677i	$-0.0754032\pi$
$180$	−2.41782	−	2.27778i	−0.0134323	−	0.0126544i
$181$	−59.7464	−	144.241i	−0.330091	−	0.796910i	−0.998584	−	0.0531918i	$-0.983061\pi$
$181$	−59.7464	−	144.241i	−0.330091	−	0.796910i	0.668493	−	0.743718i	$-0.266939\pi$
$182$	25.6892	−	5.50922i	0.141150	−	0.0302704i
$183$	17.6456	−	17.6456i	0.0964240	−	0.0964240i
$184$	45.6075	+	185.508i	0.247867	+	1.00820i
$185$	−3.70807	+	3.70807i	−0.0200436	+	0.0200436i
$186$	−111.470	−	72.1022i	−0.599304	−	0.387646i
$187$	97.6252	+	235.688i	0.522060	+	1.26036i
$188$	−163.075	−	61.9196i	−0.867421	−	0.329360i
$189$	6.72655	−	16.2393i	0.0355902	−	0.0859223i
$190$	8.70282	+	1.59662i	0.0458043	+	0.00840327i
$191$		−	107.812i		−	0.564460i	−0.959347	−	0.282230i	$-0.908926\pi$
$191$		−	107.812i		−	0.564460i	0.959347	−	0.282230i	$-0.0910741\pi$
$192$	−15.4495	−	172.272i	−0.0804663	−	0.897248i
$193$	−174.830			−0.905855			−0.452927	−	0.891547i	$-0.649620\pi$
$193$	−174.830			−0.905855			−0.452927	+	0.891547i	$0.649620\pi$
$194$	43.0595	−	234.707i	0.221956	−	1.20983i
$195$	26.4087	+	10.9388i	0.135429	+	0.0560965i
$196$	−69.0497	+	181.853i	−0.352294	+	0.927822i
$197$	−108.472	+	44.9304i	−0.550618	+	0.228073i	−0.640606	−	0.767870i	$-0.721317\pi$
$197$	−108.472	+	44.9304i	−0.550618	+	0.228073i	0.0899887	+	0.995943i	$0.471317\pi$
$198$	34.5715	−	53.4478i	0.174603	−	0.269938i
$199$	190.347	+	190.347i	0.956516	+	0.956516i	0.999093	−	0.0425770i	$-0.0135568\pi$
$199$	190.347	+	190.347i	0.956516	+	0.956516i	−0.0425770	+	0.999093i	$0.513557\pi$
$200$	47.2907	+	192.355i	0.236453	+	0.961773i
$201$	−0.620881	−	0.620881i	−0.00308896	−	0.00308896i
$202$	44.8445	+	209.108i	0.222002	+	1.03519i
$203$	20.3148	−	8.41467i	0.100073	−	0.0414516i
$204$	100.784	−	106.980i	0.494038	−	0.524411i
$205$	−9.26659	−	3.83835i	−0.0452029	−	0.0187237i
$206$	−297.140	+	205.014i	−1.44242	+	0.995215i
$207$	40.5047			0.195675
$208$	−151.077	−	310.904i	−0.726331	−	1.49473i
$209$			169.553i			0.811259i
$210$	1.32441	−	0.913789i	0.00630671	−	0.00435138i
$211$	86.6725	−	209.246i	0.410770	−	0.991686i	−0.574162	−	0.818742i	$-0.694672\pi$
$211$	86.6725	−	209.246i	0.410770	−	0.991686i	0.984932	−	0.172944i	$-0.0553281\pi$
$212$	−8.74400	−	293.198i	−0.0412453	−	1.38301i
$213$	−42.5493	−	102.723i	−0.199762	−	0.482269i
$214$	43.0911	+	200.932i	0.201360	+	0.938934i
$215$	−6.68829	+	6.68829i	−0.0311083	+	0.0311083i
$216$	−228.603	−	34.9309i	−1.05835	−	0.161717i
$217$	−10.5606	+	10.5606i	−0.0486662	+	0.0486662i
$218$	32.7569	−	50.6423i	0.150261	−	0.232304i
$219$	−99.7897	−	240.914i	−0.455661	−	1.10006i
$220$	33.5130	−	15.0671i	0.152332	−	0.0684869i
$221$	112.406	−	271.373i	0.508626	−	1.22793i
$222$	−10.4472	+	56.9452i	−0.0470593	+	0.256510i
$223$			103.845i			0.465671i	0.972516	+	0.232836i	$0.0748004\pi$
$223$			103.845i			0.465671i	−0.972516	+	0.232836i	$0.925200\pi$
$224$	−19.3138	−	2.36441i	−0.0862223	−	0.0105554i
$225$	41.9996			0.186665
$226$	−276.951	−	50.8094i	−1.22544	−	0.224820i
$227$	106.086	+	43.9421i	0.467338	+	0.193578i	0.603910	−	0.797052i	$-0.293609\pi$
$227$	106.086	+	43.9421i	0.467338	+	0.193578i	−0.136572	+	0.990630i	$0.543609\pi$
$228$	89.0953	−	40.0564i	0.390769	−	0.175686i
$229$	46.1162	−	19.1019i	0.201381	−	0.0834146i	−0.279714	−	0.960083i	$-0.590240\pi$
$229$	46.1162	−	19.1019i	0.201381	−	0.0834146i	0.481094	+	0.876669i	$0.340240\pi$
$230$	19.6322	+	12.6987i	0.0853576	+	0.0552116i
$231$	21.8029	+	21.8029i	0.0943849	+	0.0943849i
$232$	−171.316	−	233.113i	−0.738431	−	1.00480i
$233$	−62.7031	−	62.7031i	−0.269112	−	0.269112i	0.559630	−	0.828742i	$-0.310943\pi$
$233$	−62.7031	−	62.7031i	−0.269112	−	0.269112i	−0.828742	+	0.559630i	$0.810943\pi$
$234$	−71.6625	+	15.3685i	−0.306250	+	0.0656772i
$235$	−19.7247	+	8.17022i	−0.0839347	+	0.0347669i
$236$	−0.530099	−	17.7749i	−0.00224618	−	0.0753175i
$237$	169.182	+	70.0775i	0.713848	+	0.295686i
$238$	−9.39001	−	13.6095i	−0.0394538	−	0.0571828i
$239$	306.080			1.28067			0.640335	−	0.768095i	$-0.278795\pi$
$239$	306.080			1.28067			0.640335	+	0.768095i	$0.278795\pi$
$240$	−15.8347	−	14.0506i	−0.0659778	−	0.0585440i
$241$		−	245.242i		−	1.01760i	−0.860884	−	0.508801i	$-0.830089\pi$
$241$		−	245.242i		−	1.01760i	0.860884	−	0.508801i	$-0.169911\pi$
$242$	262.439	+	380.369i	1.08446	+	1.57177i
$243$	−34.5529	+	83.4181i	−0.142193	+	0.343285i
$244$	−25.3268	+	26.8839i	−0.103799	+	0.110180i
$245$	9.11102	+	21.9960i	0.0371878	+	0.0897794i
$246$	−108.274	+	23.2200i	−0.440137	+	0.0943902i
$247$	138.045	−	138.045i	0.558886	−	0.558886i
$248$	168.094	+	101.752i	0.677797	+	0.410290i
$249$	−81.8998	+	81.8998i	−0.328915	+	0.328915i
$250$	40.9107	+	26.4621i	0.163643	+	0.105849i
$251$	132.845	+	320.715i	0.529261	+	1.27775i	0.932008	+	0.362438i	$0.118056\pi$
$251$	132.845	+	320.715i	0.529261	+	1.27775i	−0.402747	+	0.915311i	$0.631944\pi$
$252$	−1.46451	+	3.85701i	−0.00581154	+	0.0153056i
$253$	−171.461	+	413.942i	−0.677710	+	1.63614i
$254$	322.574	+	59.1796i	1.26998	+	0.232990i
$255$		−	17.9890i		−	0.0705453i
$256$	30.4572	+	254.182i	0.118973	+	0.992897i
$257$	−108.814			−0.423399			−0.211700	−	0.977335i	$-0.567900\pi$
$257$	−108.814			−0.423399			−0.211700	+	0.977335i	$0.567900\pi$
$258$	−18.8437	+	102.713i	−0.0730375	+	0.398111i
$259$	6.01735	+	2.49247i	0.0232330	+	0.00962343i
$260$	−39.5523	−	15.0180i	−0.152124	−	0.0577617i
$261$	−56.6700	+	23.4735i	−0.217126	+	0.0899367i
$262$	13.2009	−	20.4087i	0.0503851	−	0.0778958i
$263$	−150.151	−	150.151i	−0.570916	−	0.570916i	0.361468	−	0.932384i	$-0.382276\pi$
$263$	−150.151	−	150.151i	−0.570916	−	0.570916i	−0.932384	+	0.361468i	$0.882276\pi$
$264$	210.073	−	347.040i	0.795730	−	1.31454i
$265$	−25.3863	−	25.3863i	−0.0957975	−	0.0957975i
$266$	−2.30436	−	10.7451i	−0.00866301	−	0.0403952i
$267$	−160.219	+	66.3650i	−0.600072	+	0.248558i
$268$	0.945942	+	0.891155i	0.00352963	+	0.00332520i
$269$	−255.485	−	105.825i	−0.949758	−	0.393403i	−0.146618	−	0.989193i	$-0.546839\pi$
$269$	−255.485	−	105.825i	−0.949758	−	0.393403i	−0.803140	+	0.595791i	$0.796839\pi$
$270$	−23.2973	+	16.0742i	−0.0862863	+	0.0595341i
$271$	−261.648			−0.965492			−0.482746	−	0.875760i	$-0.660361\pi$
$271$	−261.648			−0.965492			−0.482746	+	0.875760i	$0.660361\pi$
$272$	−144.382	+	162.716i	−0.530817	+	0.598219i
$273$		−	35.5024i		−	0.130046i
$274$	−49.5839	+	34.2109i	−0.180963	+	0.124857i
$275$	−177.789	+	429.220i	−0.646504	+	1.56080i
$276$	258.022	−	7.69494i	0.934862	−	0.0278802i
$277$	120.123	+	290.003i	0.433658	+	1.04694i	0.978098	+	0.208143i	$0.0667420\pi$
$277$	120.123	+	290.003i	0.433658	+	1.04694i	−0.544440	+	0.838799i	$0.683258\pi$
$278$	−70.2848	−	327.734i	−0.252823	−	1.17890i
$279$	29.4597	−	29.4597i	0.105590	−	0.105590i
$280$	−1.91905	+	1.41032i	−0.00685375	+	0.00503685i
$281$	21.7898	−	21.7898i	0.0775437	−	0.0775437i	−0.667271	−	0.744815i	$-0.732538\pi$
$281$	21.7898	−	21.7898i	0.0775437	−	0.0775437i	0.744815	+	0.667271i	$0.232538\pi$
$282$	−128.017	+	197.915i	−0.453961	+	0.701827i
$283$	−155.937	−	376.466i	−0.551016	−	1.33027i	−0.916717	−	0.399537i	$-0.869171\pi$
$283$	−155.937	−	376.466i	−0.551016	−	1.33027i	0.365702	−	0.930732i	$-0.380829\pi$
$284$	67.4809	+	150.094i	0.237609	+	0.528501i
$285$	4.57542	−	11.0460i	0.0160541	−	0.0387581i
$286$	146.295	−	797.420i	0.511520	−	2.78818i
$287$			12.4575i			0.0434060i
$288$	53.8776	+	6.59574i	0.187075	+	0.0229019i
$289$	104.146			0.360368
$290$	−34.8266	−	6.38930i	−0.120092	−	0.0220321i
$291$	−297.902	−	123.395i	−1.02372	−	0.424038i
$292$	158.261	+	352.012i	0.541990	+	1.20552i
$293$	−37.2090	+	15.4125i	−0.126993	+	0.0526023i	−0.445275	−	0.895394i	$-0.646894\pi$
$293$	−37.2090	+	15.4125i	−0.126993	+	0.0526023i	0.318282	+	0.947996i	$0.396894\pi$
$294$	220.705	+	142.758i	0.750698	+	0.485572i
$295$	−1.53903	−	1.53903i	−0.00521705	−	0.00521705i
$296$	12.9434	−	84.7072i	0.0437276	−	0.286173i
$297$	−383.529	−	383.529i	−1.29134	−	1.29134i
$298$	464.637	−	99.6443i	1.55918	−	0.334377i
$299$	476.616	−	197.421i	1.59403	−	0.660271i
$300$	267.545	−	7.97893i	0.891815	−	0.0265964i
$301$	10.8536	+	4.49569i	0.0360584	+	0.0149359i
$302$	−131.792	−	191.014i	−0.436397	−	0.632497i
$303$	288.986			0.953750
$304$	−130.043	+	63.1915i	−0.427772	+	0.207867i
$305$			4.52063i			0.0148217i
$306$	26.1943	+	37.9650i	0.0856023	+	0.124069i
$307$	−101.089	+	244.049i	−0.329279	+	0.794949i	0.669368	+	0.742931i	$0.266565\pi$
$307$	−101.089	+	244.049i	−0.329279	+	0.794949i	−0.998646	+	0.0520174i	$0.983435\pi$
$308$	−33.2178	−	31.2939i	−0.107850	−	0.101603i
$309$	186.678	+	450.680i	0.604136	+	1.45851i
$310$	23.5148	−	5.04289i	0.0758541	−	0.0162674i
$311$	−181.395	+	181.395i	−0.583264	+	0.583264i	−0.935799	−	0.352534i	$-0.885320\pi$
$311$	−181.395	+	181.395i	−0.583264	+	0.583264i	0.352534	+	0.935799i	$0.385320\pi$
$312$	−453.583	+	111.514i	−1.45379	+	0.357417i
$313$	110.963	−	110.963i	0.354513	−	0.354513i	−0.507273	−	0.861786i	$-0.669346\pi$
$313$	110.963	−	110.963i	0.354513	−	0.354513i	0.861786	+	0.507273i	$0.169346\pi$
$314$	−232.098	−	150.127i	−0.739166	−	0.478113i
$315$	0.193240	+	0.466523i	0.000613460	+	0.00148102i
$316$	−253.384	−	96.2102i	−0.801850	−	0.304463i
$317$	134.161	−	323.892i	0.423219	−	1.02174i	−0.558172	−	0.829725i	$-0.688497\pi$
$317$	134.161	−	323.892i	0.423219	−	1.02174i	0.981392	−	0.192017i	$-0.0615028\pi$
$318$	−389.860	−	71.5239i	−1.22598	−	0.224918i
$319$		−	678.512i		−	2.12700i
$320$	24.0462	+	20.0881i	0.0751443	+	0.0627755i
$321$	277.687			0.865070
$322$	5.24020	−	28.5631i	0.0162739	−	0.0887054i
$323$	−113.508	−	47.0166i	−0.351419	−	0.145562i
$324$	−89.2495	+	235.052i	−0.275461	+	0.725471i
$325$	494.207	−	204.707i	1.52064	−	0.629868i
$326$	−64.4647	+	99.6629i	−0.197744	+	0.305714i
$327$	−57.6287	−	57.6287i	−0.176235	−	0.176235i
$328$	159.159	−	39.1294i	0.485240	−	0.119297i
$329$	18.7502	+	18.7502i	0.0569915	+	0.0569915i
$330$	−10.4114	−	48.5476i	−0.0315495	−	0.147114i
$331$	−580.238	+	240.342i	−1.75298	+	0.726110i	−0.755506	+	0.655141i	$0.772609\pi$
$331$	−580.238	+	240.342i	−1.75298	+	0.726110i	−0.997479	+	0.0709686i	$0.977391\pi$
$332$	117.551	−	124.778i	0.354071	−	0.375839i
$333$	−16.7860	−	6.95297i	−0.0504083	−	0.0208798i
$334$	229.849	−	158.587i	0.688171	−	0.474810i
$335$	0.159064			0.000474817
$336$	−8.59643	+	24.8481i	−0.0255846	+	0.0739526i
$337$		−	130.257i		−	0.386519i	−0.981148	−	0.193259i	$-0.938094\pi$
$337$		−	130.257i		−	0.386519i	0.981148	−	0.193259i	$-0.0619059\pi$
$338$	−490.136	+	338.174i	−1.45011	+	1.00051i
$339$	−145.604	+	351.519i	−0.429510	+	1.03693i
$340$	0.793689	+	26.6135i	0.00233438	+	0.0782750i
$341$	176.361	+	425.772i	0.517187	+	1.24860i
$342$	6.42823	+	29.9745i	0.0187960	+	0.0876448i
$343$	41.9776	−	41.9776i	0.122384	−	0.122384i
$344$	23.3461	−	152.787i	0.0678666	−	0.444149i
$345$	22.3406	−	22.3406i	0.0647554	−	0.0647554i
$346$	7.16277	−	11.0737i	0.0207016	−	0.0320049i
$347$	−54.6775	−	132.003i	−0.157572	−	0.380412i	0.825302	−	0.564692i	$-0.191005\pi$
$347$	−54.6775	−	132.003i	−0.157572	−	0.380412i	−0.982874	+	0.184279i	$0.941005\pi$
$348$	−356.538	+	160.296i	−1.02454	+	0.460621i
$349$	−46.7936	+	112.970i	−0.134079	+	0.323696i	−0.976632	−	0.214918i	$-0.931052\pi$
$349$	−46.7936	+	112.970i	−0.134079	+	0.323696i	0.842553	+	0.538613i	$0.181052\pi$
$350$	5.43360	−	29.6173i	0.0155246	−	0.0846209i
$351$			624.513i			1.77924i
$352$	−295.476	+	522.689i	−0.839420	+	1.48491i
$353$	382.113			1.08247			0.541236	−	0.840871i	$-0.317957\pi$
$353$	382.113			1.08247			0.541236	+	0.840871i	$0.317957\pi$
$354$	−23.6350	−	4.33609i	−0.0667656	−	0.0122488i
$355$	18.6087	+	7.70798i	0.0524189	+	0.0217126i
$356$	234.105	−	105.251i	0.657598	−	0.295650i
$357$	−20.6419	+	8.55017i	−0.0578206	+	0.0239501i
$358$	353.990	+	228.970i	0.988798	+	0.639582i
$359$	−81.2910	−	81.2910i	−0.226437	−	0.226437i	0.584765	−	0.811203i	$-0.301187\pi$
$359$	−81.2910	−	81.2910i	−0.226437	−	0.226437i	−0.811203	+	0.584765i	$0.801187\pi$
$360$	5.35337	−	3.93421i	0.0148705	−	0.0109284i
$361$	197.525	+	197.525i	0.547161	+	0.547161i
$362$	305.308	−	65.4753i	0.843392	−	0.180871i
$363$	576.916	−	238.967i	1.58930	−	0.658310i
$364$	1.56639	+	52.5233i	0.00430328	+	0.144295i
$365$	43.6425	+	18.0773i	0.119568	+	0.0495268i
$366$	28.3436	+	41.0801i	0.0774416	+	0.112241i
$367$	456.145			1.24290			0.621452	−	0.783453i	$-0.286543\pi$
$367$	456.145			1.24290			0.621452	+	0.783453i	$0.286543\pi$
$368$	−381.385	+	22.7682i	−1.03637	+	0.0618701i
$369$		−	34.7514i		−	0.0941773i
$370$	−5.95617	−	8.63263i	−0.0160977	−	0.0233314i
$371$	−17.0640	+	41.1963i	−0.0459947	+	0.111041i
$372$	182.067	−	193.260i	0.489426	−	0.519516i
$373$	−184.108	−	444.476i	−0.493588	−	1.19163i	−0.952882	−	0.303342i	$-0.901898\pi$
$373$	−184.108	−	444.476i	−0.493588	−	1.19163i	0.459294	−	0.888284i	$-0.348102\pi$
$374$	−498.871	+	106.986i	−1.33388	+	0.286059i
$375$	46.5545	−	46.5545i	0.124145	−	0.124145i
$376$	180.660	−	298.450i	0.480478	−	0.793749i
$377$	−552.423	+	552.423i	−1.46531	+	1.46531i
$378$	29.5179	+	19.0930i	0.0780897	+	0.0505105i
$379$	−108.900	−	262.908i	−0.287336	−	0.693690i	0.712634	−	0.701536i	$-0.247502\pi$
$379$	−108.900	−	262.908i	−0.287336	−	0.693690i	−0.999969	+	0.00784682i	$0.997502\pi$
$380$	−6.28165	+	16.5437i	−0.0165307	+	0.0435361i
$381$	169.590	−	409.427i	0.445119	−	1.07461i
$382$	212.084	+	38.9090i	0.555194	+	0.101856i
$383$			476.810i			1.24493i	0.782646	+	0.622467i	$0.213869\pi$
$383$			476.810i			1.24493i	−0.782646	+	0.622467i	$0.786131\pi$
$384$	344.463	+	31.7805i	0.897039	+	0.0827618i
$385$	−5.58569			−0.0145083
$386$	63.0957	−	343.920i	0.163460	−	0.890985i
$387$	−30.2770	−	12.5411i	−0.0782352	−	0.0324061i
$388$	446.169	+	169.411i	1.14992	+	0.436625i
$389$	−71.5472	+	29.6358i	−0.183926	+	0.0761846i	−0.472746	−	0.881199i	$-0.656737\pi$
$389$	−71.5472	+	29.6358i	−0.183926	+	0.0761846i	0.288820	+	0.957383i	$0.406737\pi$
$390$	−31.0493	+	48.0025i	−0.0796137	+	0.123083i
$391$	−229.570	−	229.570i	−0.587136	−	0.587136i
$392$	−332.816	−	201.463i	−0.849020	−	0.513936i
$393$	−23.2242	−	23.2242i	−0.0590946	−	0.0590946i
$394$	−49.2386	−	229.597i	−0.124971	−	0.582734i
$395$	−30.6480	+	12.6948i	−0.0775898	+	0.0321388i
$396$	92.6641	+	87.2971i	0.234000	+	0.220447i
$397$	120.360	+	49.8545i	0.303173	+	0.125578i	0.529084	−	0.848570i	$-0.322536\pi$
$397$	120.360	+	49.8545i	0.303173	+	0.125578i	−0.225911	+	0.974148i	$0.572536\pi$
$398$	−443.140	+	305.749i	−1.11342	+	0.768212i
$399$	−14.8497			−0.0372174
$400$	−395.461	+	23.6085i	−0.988652	+	0.0590213i
$401$		−	174.015i		−	0.433953i	−0.976177	−	0.216976i	$-0.930381\pi$
$401$		−	174.015i		−	0.433953i	0.976177	−	0.216976i	$-0.0696195\pi$
$402$	1.44545	−	0.997303i	0.00359565	−	0.00248085i
$403$	203.063	−	490.237i	0.503878	−	1.21647i
$404$	−427.534	+	12.7503i	−1.05825	+	0.0315601i
$405$	11.7764	+	28.4306i	0.0290774	+	0.0701991i
$406$	9.22151	+	42.9995i	0.0227131	+	0.105910i
$407$	142.114	−	142.114i	0.349173	−	0.349173i
$408$	174.075	+	236.867i	0.426654	+	0.580557i
$409$	−108.736	+	108.736i	−0.265857	+	0.265857i	−0.827428	−	0.561571i	$-0.810197\pi$
$409$	−108.736	+	108.736i	−0.265857	+	0.265857i	0.561571	+	0.827428i	$0.310197\pi$
$410$	10.8950	−	16.8437i	0.0265731	−	0.0410822i
$411$	31.1511	+	75.2054i	0.0757934	+	0.182981i
$412$	−296.061	−	658.513i	−0.718594	−	1.59833i
$413$	−1.03450	+	2.49749i	−0.00250483	+	0.00604720i
$414$	−14.6180	+	79.6795i	−0.0353092	+	0.192463i
$415$		−	20.9819i		−	0.0505589i
$416$	666.123	−	184.989i	1.60126	−	0.444686i
$417$	−452.928			−1.08616
$418$	−333.540	−	61.1913i	−0.797942	−	0.146391i
$419$	370.373	+	153.414i	0.883946	+	0.366142i	0.778026	−	0.628232i	$-0.216221\pi$
$419$	370.373	+	153.414i	0.883946	+	0.366142i	0.105920	+	0.994375i	$0.466221\pi$
$420$	1.31960	+	2.93512i	0.00314191	+	0.00698838i
$421$	−600.339	+	248.669i	−1.42598	+	0.590662i	−0.956357	−	0.292202i	$-0.905612\pi$
$421$	−600.339	+	248.669i	−1.42598	+	0.590662i	−0.469628	+	0.882864i	$0.655612\pi$
$422$	380.342	+	246.016i	0.901284	+	0.582975i
$423$	−52.3054	−	52.3054i	−0.123654	−	0.123654i
$424$	579.926	+	88.6135i	1.36775	+	0.208994i
$425$	−238.043	−	238.043i	−0.560101	−	0.560101i
$426$	217.430	−	46.6292i	0.510399	−	0.109458i
$427$	5.18730	−	2.14865i	0.0121482	−	0.00503197i
$428$	−410.818	+	12.2518i	−0.959856	+	0.0286256i
$429$	−1012.12	−	419.236i	−2.35926	−	0.977239i
$430$	−10.7432	−	15.5708i	−0.0249842	−	0.0362111i
$431$	289.906			0.672636			0.336318	−	0.941749i	$-0.390818\pi$
$431$	289.906			0.672636			0.336318	+	0.941749i	$0.390818\pi$
$432$	151.217	−	437.095i	0.350040	−	1.01179i
$433$			314.414i			0.726129i	0.931764	+	0.363064i	$0.118269\pi$
$433$			314.414i			0.726129i	−0.931764	+	0.363064i	$0.881731\pi$
$434$	−16.9631	−	24.5857i	−0.0390856	−	0.0566490i
$435$	−18.3098	+	44.2037i	−0.0420914	+	0.101618i
$436$	87.8002	+	82.7149i	0.201377	+	0.189713i
$437$	−82.5760	−	199.356i	−0.188961	−	0.456192i
$438$	509.932	−	109.358i	1.16423	−	0.249676i
$439$	−579.455	+	579.455i	−1.31994	+	1.31994i	−0.406125	+	0.913818i	$0.633120\pi$
$439$	−579.455	+	579.455i	−1.31994	+	1.31994i	−0.913818	+	0.406125i	$0.866880\pi$
$440$	17.5448	+	71.3634i	0.0398745	+	0.162189i
$441$	−58.3284	+	58.3284i	−0.132264	+	0.132264i
$442$	493.269	+	319.060i	1.11599	+	0.721855i
$443$	107.736	+	260.098i	0.243197	+	0.587130i	0.997597	−	0.0692856i	$-0.0220720\pi$
$443$	107.736	+	260.098i	0.243197	+	0.587130i	−0.754400	+	0.656415i	$0.772072\pi$
$444$	−108.250	−	41.1027i	−0.243807	−	0.0925737i
$445$	12.0223	−	29.0244i	0.0270164	−	0.0652233i
$446$	−204.280	−	37.4773i	−0.458027	−	0.0840297i
$447$		−	642.127i		−	1.43652i
$448$	11.6215	−	37.1402i	0.0259408	−	0.0829022i
$449$	470.997			1.04899			0.524496	−	0.851413i	$-0.324254\pi$
$449$	470.997			1.04899			0.524496	+	0.851413i	$0.324254\pi$
$450$	−15.1575	+	82.6202i	−0.0336834	+	0.183601i
$451$	355.147	+	147.107i	0.787465	+	0.326179i
$452$	199.901	−	526.471i	0.442260	−	1.16476i
$453$	−289.717	+	120.005i	−0.639551	+	0.264911i
$454$	−124.728	+	192.830i	−0.274730	+	0.424735i
$455$	4.54769	+	4.54769i	0.00999493	+	0.00999493i
$456$	46.6434	+	189.722i	0.102288	+	0.416056i
$457$	447.868	+	447.868i	0.980018	+	0.980018i	0.999804	−	0.0197861i	$-0.00629852\pi$
$457$	447.868	+	447.868i	0.980018	+	0.980018i	−0.0197861	+	0.999804i	$0.506299\pi$
$458$	20.9335	+	97.6121i	0.0457064	+	0.213127i
$459$	363.106	−	150.404i	0.791082	−	0.327677i
$460$	−32.0657	+	34.0370i	−0.0697080	+	0.0739935i
$461$	253.222	+	104.888i	0.549288	+	0.227523i	0.640027	−	0.768352i	$-0.278923\pi$
$461$	253.222	+	104.888i	0.549288	+	0.227523i	−0.0907394	+	0.995875i	$0.528923\pi$
$462$	−50.7586	+	35.0214i	−0.109867	+	0.0758039i
$463$	−653.753			−1.41199			−0.705996	−	0.708215i	$-0.749501\pi$
$463$	−653.753			−1.41199			−0.705996	+	0.708215i	$0.749501\pi$
$464$	520.401	−	252.877i	1.12155	−	0.544994i
$465$		−	32.4973i		−	0.0698868i
$466$	145.977	−	100.718i	0.313255	−	0.216133i
$467$	39.3875	−	95.0899i	0.0843416	−	0.203619i	−0.876082	−	0.482162i	$-0.839852\pi$
$467$	39.3875	−	95.0899i	0.0843416	−	0.203619i	0.960424	+	0.278544i	$0.0898516\pi$
$468$	−4.36960	−	146.519i	−0.00933675	−	0.313074i
$469$	−0.0756028	−	0.182521i	−0.000161200	−	0.000389171i
$470$	−8.95363	−	41.7503i	−0.0190503	−	0.0888305i
$471$	−264.117	+	264.117i	−0.560758	+	0.560758i
$472$	35.1576	+	5.37213i	0.0744865	+	0.0113816i
$473$	256.332	−	256.332i	0.541927	−	0.541927i
$474$	−198.912	+	307.519i	−0.419645	+	0.648774i
$475$	−85.6236	−	206.714i	−0.180260	−	0.435187i
$476$	30.1610	−	13.5601i	0.0633635	−	0.0284876i
$477$	47.6017	−	114.921i	0.0997940	−	0.240924i
$478$	−110.464	+	602.112i	−0.231095	+	1.25965i
$479$			857.713i			1.79063i	0.445432	+	0.895316i	$0.353050\pi$
$479$			857.713i			1.79063i	−0.445432	+	0.895316i	$0.646950\pi$
$480$	33.3545	−	26.0786i	0.0694885	−	0.0543305i
$481$	−231.408			−0.481099
$482$	482.433	+	88.5072i	1.00090	+	0.183625i
$483$	−36.2537	−	15.0168i	−0.0750595	−	0.0310907i
$484$	−842.963	+	378.988i	−1.74166	+	0.783033i
$485$	53.9661	−	22.3535i	0.111270	−	0.0460897i
$486$	−151.628	−	98.0768i	−0.311991	−	0.201804i
$487$	12.5467	+	12.5467i	0.0257633	+	0.0257633i	0.719871	−	0.694108i	$-0.244201\pi$
$487$	12.5467	+	12.5467i	0.0257633	+	0.0257633i	−0.694108	+	0.719871i	$0.744201\pi$
$488$	−43.7448	−	59.5245i	−0.0896410	−	0.121976i
$489$	113.412	+	113.412i	0.231926	+	0.231926i
$490$	−46.5579	+	9.98464i	−0.0950161	+	0.0203768i
$491$	91.7015	−	37.9840i	0.186765	−	0.0773605i	−0.287341	−	0.957828i	$-0.592771\pi$
$491$	91.7015	−	37.9840i	0.186765	−	0.0773605i	0.474106	+	0.880468i	$0.342771\pi$
$492$	−6.60196	−	221.373i	−0.0134186	−	0.449944i
$493$	454.233	+	188.149i	0.921365	+	0.381642i
$494$	221.737	+	321.377i	0.448861	+	0.650561i
$495$	15.5818			0.0314784
$496$	−260.828	+	293.947i	−0.525862	+	0.592635i
$497$		−	25.0166i		−	0.0503352i
$498$	−131.553	−	190.668i	−0.264163	−	0.382868i
$499$	193.677	−	467.577i	0.388130	−	0.937029i	−0.602206	−	0.798341i	$-0.705711\pi$
$499$	193.677	−	467.577i	0.388130	−	0.937029i	0.990336	−	0.138688i	$-0.0442886\pi$
$500$	−66.8201	+	70.9281i	−0.133640	+	0.141856i
$501$	−144.403	−	348.619i	−0.288229	−	0.695846i
$502$	−678.844	+	145.582i	−1.35228	+	0.290005i
$503$	659.583	−	659.583i	1.31130	−	1.31130i	0.390840	−	0.920459i	$-0.372184\pi$
$503$	659.583	−	659.583i	1.31130	−	1.31130i	0.920459	−	0.390840i	$-0.127816\pi$
$504$	−7.05885	−	4.27292i	−0.0140057	−	0.00847802i
$505$	−37.0177	+	37.0177i	−0.0733024	+	0.0733024i
$506$	−752.415	−	486.683i	−1.48699	−	0.961823i
$507$	307.928	+	743.403i	0.607353	+	1.46628i
$508$	−232.832	+	613.201i	−0.458332	+	1.20709i
$509$	−133.178	+	321.521i	−0.261647	+	0.631671i	−0.999041	−	0.0437918i	$-0.986056\pi$
$509$	−133.178	+	321.521i	−0.261647	+	0.631671i	0.737394	+	0.675463i	$0.236056\pi$
$510$	35.3875	+	6.49220i	0.0693872	+	0.0127298i
$511$		−	58.6707i		−	0.114815i
$512$	−511.010	−	31.8190i	−0.998067	−	0.0621466i
$513$	261.217			0.509196
$514$	39.2705	−	214.055i	0.0764018	−	0.416449i
$515$	−81.6425	−	33.8174i	−0.158529	−	0.0656649i
$516$	−195.252	−	74.1374i	−0.378396	−	0.143677i
$517$	755.957	−	313.127i	1.46220	−	0.605662i
$518$	−7.07475	+	10.9376i	−0.0136578	+	0.0211151i
$519$	−12.6014	−	12.6014i	−0.0242801	−	0.0242801i
$520$	43.8173	−	72.3862i	0.0842641	−	0.139204i
$521$	71.2918	+	71.2918i	0.136837	+	0.136837i	0.772207	−	0.635371i	$-0.219153\pi$
$521$	71.2918	+	71.2918i	0.136837	+	0.136837i	−0.635371	+	0.772207i	$0.719153\pi$
$522$	−25.7243	−	119.951i	−0.0492802	−	0.229791i
$523$	−376.338	+	155.884i	−0.719576	+	0.298058i	−0.712261	−	0.701915i	$-0.752329\pi$
$523$	−376.338	+	155.884i	−0.719576	+	0.298058i	−0.00731529	+	0.999973i	$0.502329\pi$
$524$	35.3832	+	33.3338i	0.0675252	+	0.0636142i
$525$	−37.5918	−	15.5710i	−0.0716033	−	0.0296591i
$526$	349.562	−	241.183i	0.664566	−	0.458523i
$527$	−333.940			−0.633662
$528$	606.871	+	538.494i	1.14938	+	1.01987i
$529$		−	41.2074i		−	0.0778968i
$530$	59.1011	−	40.7774i	0.111511	−	0.0769384i
$531$	2.88582	−	6.96699i	0.00543469	−	0.0131205i
$532$	21.9691	−	0.655181i	0.0412953	−	0.00123154i
$533$	−169.379	−	408.918i	−0.317785	−	0.767201i
$534$	−72.7285	−	339.129i	−0.136196	−	0.635074i
$535$	−35.5704	+	35.5704i	−0.0664867	+	0.0664867i
$536$	−2.09444	+	1.53921i	−0.00390754	+	0.00287167i
$537$	402.825	−	402.825i	0.750139	−	0.750139i
$538$	300.380	−	464.390i	0.558327	−	0.863178i
$539$	−349.184	−	843.005i	−0.647837	−	1.56402i
$540$	−23.2127	−	51.6309i	−0.0429865	−	0.0956127i
$541$	−131.242	+	316.846i	−0.242591	+	0.585667i	−0.997539	−	0.0701185i	$-0.977662\pi$
$541$	−131.242	+	316.846i	−0.242591	+	0.585667i	0.754948	+	0.655785i	$0.227662\pi$
$542$	94.4281	−	514.706i	0.174222	−	0.949643i
$543$		−	421.935i		−	0.777044i
$544$	−267.982	−	342.748i	−0.492614	−	0.630051i
$545$	14.7639			0.0270898
$546$	69.8393	+	12.8127i	0.127911	+	0.0234665i
$547$	−57.6667	−	23.8863i	−0.105424	−	0.0436679i	0.329348	−	0.944209i	$-0.393171\pi$
$547$	−57.6667	−	23.8863i	−0.105424	−	0.0436679i	−0.434772	+	0.900541i	$0.643171\pi$
$548$	−49.4039	−	109.886i	−0.0901531	−	0.200523i
$549$	−14.4705	+	5.99386i	−0.0263578	+	0.0109178i
$550$	−780.184	−	504.645i	−1.41852	−	0.917536i
$551$	231.064	+	231.064i	0.419354	+	0.419354i
$552$	−77.9821	+	510.350i	−0.141272	+	0.924546i
$553$	29.1339	+	29.1339i	0.0526834	+	0.0526834i
$554$	−613.837	+	131.641i	−1.10801	+	0.237620i
$555$	−13.0934	+	5.42345i	−0.0235917	+	0.00977198i
$556$	670.075	−	19.9835i	1.20517	−	0.0359416i
$557$	403.952	+	167.322i	0.725228	+	0.300399i	0.714589	−	0.699544i	$-0.246614\pi$
$557$	403.952	+	167.322i	0.725228	+	0.300399i	0.0106383	+	0.999943i	$0.496614\pi$
$558$	47.3202	+	68.5840i	0.0848032	+	0.122910i
$559$	−417.394			−0.746680
$560$	−2.08175	−	4.28408i	−0.00371742	−	0.00765014i
$561$			689.438i			1.22895i
$562$	35.0003	+	50.7280i	0.0622781	+	0.0902634i
$563$	2.60893	−	6.29851i	0.00463398	−	0.0111874i	−0.921546	−	0.388270i	$-0.873073\pi$
$563$	2.60893	−	6.29851i	0.00463398	−	0.0111874i	0.926180	+	0.377083i	$0.123073\pi$
$564$	−343.132	−	323.258i	−0.608390	−	0.573153i
$565$	−26.3767	−	63.6791i	−0.0466845	−	0.112706i
$566$	796.850	−	170.890i	1.40786	−	0.301925i
$567$	27.0261	−	27.0261i	0.0476651	−	0.0476651i
$568$	−319.614	+	78.5777i	−0.562702	+	0.138341i
$569$	225.325	−	225.325i	0.396002	−	0.396002i	−0.480818	−	0.876820i	$-0.659660\pi$
$569$	225.325	−	225.325i	0.396002	−	0.396002i	0.876820	+	0.480818i	$0.159660\pi$
$570$	20.0782	+	12.9871i	0.0352249	+	0.0227844i
$571$	203.081	+	490.280i	0.355658	+	0.858634i	0.995900	+	0.0904608i	$0.0288340\pi$
$571$	203.081	+	490.280i	0.355658	+	0.858634i	−0.640242	+	0.768173i	$0.721166\pi$
$572$	1515.86	+	575.573i	2.65011	+	1.00625i
$573$	111.501	−	269.187i	0.194592	−	0.469786i
$574$	−24.5061	−	4.49589i	−0.0426935	−	0.00783256i
$575$		−	591.252i		−	1.02826i
$576$	−32.4192	+	103.606i	−0.0562834	+	0.179872i
$577$	−1017.81			−1.76396			−0.881980	−	0.471286i	$-0.843790\pi$
$577$	−1017.81			−1.76396			−0.881980	+	0.471286i	$0.843790\pi$
$578$	−37.5861	+	204.873i	−0.0650278	+	0.354452i
$579$	−436.520	−	180.813i	−0.753921	−	0.312284i
$580$	25.1377	−	66.2040i	0.0433408	−	0.114145i
$581$	−24.0762	+	9.97270i	−0.0414393	+	0.0171647i
$582$	350.251	−	541.491i	0.601806	−	0.930396i
$583$	972.943	+	972.943i	1.66886	+	1.66886i
$584$	−749.582	+	184.286i	−1.28353	+	0.315558i
$585$	−12.6862	−	12.6862i	−0.0216858	−	0.0216858i
$586$	−16.8903	−	78.7587i	−0.0288230	−	0.134400i
$587$	−721.215	+	298.737i	−1.22865	+	0.508922i	−0.900149	−	0.435583i	$-0.856542\pi$
$587$	−721.215	+	298.737i	−1.22865	+	0.508922i	−0.328498	+	0.944505i	$0.606542\pi$
$588$	−360.481	+	382.643i	−0.613063	+	0.650754i
$589$	−205.053	−	84.9359i	−0.348138	−	0.144204i
$590$	3.58296	−	2.47210i	0.00607282	−	0.00419000i
$591$	−317.303			−0.536892
$592$	161.962	+	56.0324i	0.273585	+	0.0946493i
$593$			525.499i			0.886170i	0.896479	+	0.443085i	$0.146116\pi$
$593$			525.499i			0.886170i	−0.896479	+	0.443085i	$0.853884\pi$
$594$	892.880	−	616.051i	1.50316	−	1.03712i
$595$	1.54890	−	3.73937i	0.00260319	−	0.00628465i
$596$	28.3311	+	949.980i	0.0475354	+	1.59393i
$597$	278.403	+	672.123i	0.466336	+	1.12583i
$598$	216.351	+	1008.83i	0.361791	+	1.68701i
$599$	−359.176	+	359.176i	−0.599626	+	0.599626i	−0.940213	−	0.340587i	$-0.889374\pi$
$599$	−359.176	+	359.176i	−0.599626	+	0.599626i	0.340587	+	0.940213i	$0.389374\pi$
$600$	−80.8602	+	529.185i	−0.134767	+	0.881975i
$601$	163.858	−	163.858i	0.272642	−	0.272642i	−0.557521	−	0.830163i	$-0.688247\pi$
$601$	163.858	−	163.858i	0.272642	−	0.272642i	0.830163	+	0.557521i	$0.188247\pi$
$602$	−12.7608	+	19.7283i	−0.0211974	+	0.0327713i
$603$	0.210901	+	0.509160i	0.000349753	+	0.000844378i
$604$	423.320	−	190.321i	0.700862	−	0.315101i
$605$	−43.2897	+	104.511i	−0.0715533	+	0.172745i
$606$	−104.294	+	568.484i	−0.172103	+	0.938093i
$607$		−	208.191i		−	0.342984i	−0.985186	−	0.171492i	$-0.945141\pi$
$607$		−	208.191i		−	0.342984i	0.985186	−	0.171492i	$-0.0548587\pi$
$608$	−77.3762	−	278.622i	−0.127263	−	0.458259i
$609$	59.4252			0.0975783
$610$	−8.89284	−	1.63148i	−0.0145784	−	0.00267456i
$611$	−870.414	−	360.537i	−1.42457	−	0.590077i
$612$	−84.1370	+	37.8272i	−0.137479	+	0.0618091i
$613$	643.217	−	266.429i	1.04929	−	0.434632i	0.209654	−	0.977776i	$-0.432766\pi$
$613$	643.217	−	266.429i	1.04929	−	0.434632i	0.839640	+	0.543144i	$0.182766\pi$
$614$	−443.604	−	286.935i	−0.722481	−	0.467321i
$615$	−19.1674	−	19.1674i	−0.0311665	−	0.0311665i
$616$	73.5485	−	54.0511i	0.119397	−	0.0877453i
$617$	−526.767	−	526.767i	−0.853755	−	0.853755i	0.136838	−	0.990593i	$-0.456306\pi$
$617$	−526.767	−	526.767i	−0.853755	−	0.853755i	−0.990593	+	0.136838i	$0.956306\pi$
$618$	−953.936	+	204.578i	−1.54359	+	0.331032i
$619$	−316.799	+	131.222i	−0.511791	+	0.211991i	−0.623607	−	0.781738i	$-0.714333\pi$
$619$	−316.799	+	131.222i	−0.511791	+	0.211991i	0.111816	+	0.993729i	$0.464333\pi$
$620$	1.43381	+	48.0775i	0.00231259	+	0.0775443i
$621$	637.729	+	264.156i	1.02694	+	0.425372i
$622$	−291.370	−	422.300i	−0.468441	−	0.678939i
$623$	−39.0188			−0.0626306
$624$	−55.6702	−	932.519i	−0.0892151	−	1.49442i
$625$		−	607.081i		−	0.971330i
$626$	178.236	+	258.328i	0.284722	+	0.412665i
$627$	−175.355	+	423.345i	−0.279673	+	0.675191i
$628$	379.089	−	402.395i	0.603645	−	0.640757i
$629$	55.7309	+	134.546i	0.0886024	+	0.213905i
$630$	−0.987469	+	0.211769i	−0.00156741	+	0.000336141i
$631$	515.138	−	515.138i	0.816383	−	0.816383i	−0.169199	−	0.985582i	$-0.554118\pi$
$631$	515.138	−	515.138i	0.816383	−	0.816383i	0.985582	+	0.169199i	$0.0541179\pi$
$632$	280.707	−	463.728i	0.444157	−	0.733747i
$633$	432.812	−	432.812i	0.683748	−	0.683748i
$634$	588.732	+	380.808i	0.928600	+	0.600644i
$635$	30.7220	+	74.1694i	0.0483810	+	0.116802i
$636$	281.399	−	741.108i	0.442451	−	1.16526i
$637$	−402.053	+	970.642i	−0.631167	+	1.52377i
$638$	1334.75	+	244.873i	2.09208	+	0.383814i
$639$			69.7861i			0.109211i
$640$	−48.1950	+	40.0531i	−0.0753046	+	0.0625830i
$641$	−827.282			−1.29061			−0.645306	−	0.763925i	$-0.723270\pi$
$641$	−827.282			−1.29061			−0.645306	+	0.763925i	$0.723270\pi$
$642$	−100.217	+	546.258i	−0.156101	+	0.850869i
$643$	300.259	+	124.371i	0.466965	+	0.193423i	0.603744	−	0.797178i	$-0.293675\pi$
$643$	300.259	+	124.371i	0.466965	+	0.193423i	−0.136779	+	0.990602i	$0.543675\pi$
$644$	54.2974	+	20.6167i	0.0843127	+	0.0320135i
$645$	−23.6166	+	9.78234i	−0.0366150	+	0.0151664i
$646$	133.454	−	206.322i	0.206586	−	0.319383i
$647$	−182.325	−	182.325i	−0.281800	−	0.281800i	0.552027	−	0.833827i	$-0.313855\pi$
$647$	−182.325	−	182.325i	−0.281800	−	0.281800i	−0.833827	+	0.552027i	$0.813855\pi$
$648$	−430.178	−	260.399i	−0.663855	−	0.401850i
$649$	58.9840	+	58.9840i	0.0908845	+	0.0908845i
$650$	224.336	+	1046.07i	0.345132	+	1.60933i
$651$	−37.2898	+	15.4460i	−0.0572808	+	0.0237265i
$652$	−172.789	−	162.781i	−0.265013	−	0.249664i
$653$	−83.4520	−	34.5670i	−0.127798	−	0.0529356i	0.317868	−	0.948135i	$-0.397033\pi$
$653$	−83.4520	−	34.5670i	−0.127798	−	0.0529356i	−0.445666	+	0.895199i	$0.647033\pi$
$654$	134.163	−	92.5674i	0.205143	−	0.141540i
$655$	5.94981			0.00908368
$656$	19.5342	+	327.214i	0.0297778	+	0.498801i
$657$			163.667i			0.249113i
$658$	−43.6517	+	30.1179i	−0.0663400	+	0.0457719i
$659$	36.4182	−	87.9213i	0.0552628	−	0.133416i	−0.893837	−	0.448393i	$-0.851997\pi$
$659$	36.4182	−	87.9213i	0.0552628	−	0.133416i	0.949099	+	0.314976i	$0.101997\pi$
$660$	99.2588	−	2.96018i	0.150392	−	0.00448512i
$661$	−420.501	−	1015.18i	−0.636159	−	1.53582i	−0.831757	−	0.555140i	$-0.812665\pi$
$661$	−420.501	−	1015.18i	−0.636159	−	1.53582i	0.195597	−	0.980684i	$-0.437335\pi$
$662$	−263.388	−	1228.16i	−0.397867	−	1.85523i
$663$	561.319	−	561.319i	0.846634	−	0.846634i
$664$	203.036	+	276.276i	0.305777	+	0.416078i
$665$	1.90218	−	1.90218i	0.00286042	−	0.00286042i
$666$	19.7357	−	30.5115i	0.0296331	−	0.0458131i
$667$	330.450	+	797.776i	0.495427	+	1.19607i
$668$	229.015	+	509.385i	0.342836	+	0.762553i
$669$	−107.398	+	259.282i	−0.160535	+	0.387567i
$670$	−0.0574056	+	0.312905i	−8.56800e−5	+	0.000467022i
$671$		−	173.255i		−	0.258205i
$672$	−45.7779	−	25.8782i	−0.0681219	−	0.0385093i
$673$	80.3370			0.119372			0.0596858	−	0.998217i	$-0.480990\pi$
$673$	80.3370			0.119372			0.0596858	+	0.998217i	$0.480990\pi$
$674$	256.237	+	47.0094i	0.380174	+	0.0697468i
$675$	661.266	+	273.905i	0.979653	+	0.405785i
$676$	−488.356	−	1086.23i	−0.722421	−	1.60684i
$677$	−944.061	+	391.043i	−1.39448	+	0.577611i	−0.948312	−	0.317339i	$-0.897211\pi$
$677$	−944.061	+	391.043i	−1.39448	+	0.577611i	−0.446165	+	0.894951i	$0.647211\pi$
$678$	−638.949	−	413.290i	−0.942403	−	0.609572i
$679$	−51.3001	−	51.3001i	−0.0755524	−	0.0755524i
$680$	−52.6397	−	8.04342i	−0.0774113	−	0.0118286i
$681$	219.432	+	219.432i	0.322220	+	0.322220i
$682$	−901.214	+	193.271i	−1.32143	+	0.283389i
$683$	−173.921	+	72.0404i	−0.254643	+	0.105476i	−0.506353	−	0.862326i	$-0.669007\pi$
$683$	−173.921	+	72.0404i	−0.254643	+	0.105476i	0.251711	+	0.967803i	$0.419007\pi$
$684$	−61.2849	+	1.82769i	−0.0895978	+	0.00267206i
$685$	−13.6237	−	5.64314i	−0.0198887	−	0.00823816i
$686$	67.4274	+	97.7266i	0.0982907	+	0.142459i
$687$	134.900			0.196361
$688$	292.133	+	101.066i	0.424612	+	0.146899i
$689$		−	1584.28i		−	2.29939i
$690$	35.8851	+	52.0105i	0.0520074	+	0.0753775i
$691$	185.902	−	448.807i	0.269033	−	0.649503i	−0.730405	−	0.683014i	$-0.760669\pi$
$691$	185.902	−	448.807i	0.269033	−	0.649503i	0.999438	+	0.0335109i	$0.0106688\pi$
$692$	19.1988	+	18.0868i	0.0277439	+	0.0261370i
$693$	−7.40601	−	17.8797i	−0.0106869	−	0.0258004i
$694$	279.405	−	59.9203i	0.402601	−	0.0863404i
$695$	58.0179	−	58.0179i	0.0834790	−	0.0834790i
$696$	−186.656	−	759.222i	−0.268184	−	1.09084i
$697$	−196.962	+	196.962i	−0.282586	+	0.282586i
$698$	−205.343	−	132.821i	−0.294188	−	0.190289i
$699$	−91.7099	−	221.407i	−0.131202	−	0.316749i
$700$	56.3013	+	21.3776i	0.0804304	+	0.0305395i
$701$	−150.886	+	364.271i	−0.215244	+	0.519645i	−0.994214	−	0.107416i	$-0.965742\pi$
$701$	−150.886	+	364.271i	−0.215244	+	0.519645i	0.778970	+	0.627061i	$0.215742\pi$
$702$	−1228.52	−	225.385i	−1.75003	−	0.321061i
$703$			96.7921i			0.137684i
$704$	−921.580	−	769.887i	−1.30906	−	1.09359i
$705$	−57.6989			−0.0818423
$706$	−137.903	+	751.680i	−0.195331	+	1.06470i
$707$	60.0713	+	24.8824i	0.0849665	+	0.0351943i
$708$	17.0596	−	44.9292i	0.0240955	−	0.0634593i
$709$	−457.191	+	189.375i	−0.644839	+	0.267101i	−0.681043	−	0.732243i	$-0.738473\pi$
$709$	−457.191	+	189.375i	−0.644839	+	0.267101i	0.0362043	+	0.999344i	$0.488473\pi$
$710$	−21.8787	+	33.8247i	−0.0308151	+	0.0476404i
$711$	−81.2717	−	81.2717i	−0.114306	−	0.114306i
$712$	122.559	+	498.509i	0.172134	+	0.700153i
$713$	−414.720	−	414.720i	−0.581656	−	0.581656i
$714$	−9.37001	−	43.6919i	−0.0131233	−	0.0611932i
$715$	183.350	−	75.9462i	0.256434	−	0.106218i
$716$	−578.177	+	613.723i	−0.807510	+	0.857155i
$717$	764.230	+	316.554i	1.06587	+	0.441498i
$718$	189.251	−	130.575i	0.263581	−	0.181860i
$719$	1277.00			1.77608			0.888039	−	0.459768i	$-0.152068\pi$
$719$	1277.00			1.77608			0.888039	+	0.459768i	$0.152068\pi$
$720$	5.80725	+	11.9508i	0.00806562	+	0.0165984i
$721$			109.756i			0.152227i
$722$	−459.851	+	317.279i	−0.636913	+	0.439444i
$723$	253.634	−	612.327i	0.350808	−	0.846925i
$724$	18.6161	+	624.222i	0.0257128	+	0.862186i
$725$	342.646	+	827.219i	0.472614	+	1.14099i
$726$	261.880	+	1221.13i	0.360716	+	1.68200i
$727$	470.863	−	470.863i	0.647679	−	0.647679i	−0.304753	−	0.952432i	$-0.598574\pi$
$727$	470.863	−	470.863i	0.647679	−	0.647679i	0.952432	+	0.304753i	$0.0985738\pi$
$728$	−103.888	−	15.8742i	−0.142703	−	0.0218052i
$729$	−572.562	+	572.562i	−0.785407	+	0.785407i
$730$	−51.3115	+	79.3280i	−0.0702898	+	0.108669i
$731$	100.522	+	242.683i	0.137514	+	0.331987i
$732$	−91.0406	+	40.9310i	−0.124372	+	0.0559166i
$733$	364.452	−	879.866i	0.497206	−	1.20036i	−0.453776	−	0.891116i	$-0.649923\pi$
$733$	364.452	−	879.866i	0.497206	−	1.20036i	0.950982	−	0.309246i	$-0.100077\pi$
$734$	−164.622	+	897.315i	−0.224280	+	1.22250i
$735$			64.3429i			0.0875413i
$736$	92.8520	−	758.466i	0.126158	−	1.03052i
$737$	−6.09619			−0.00827163
$738$	68.3619	+	12.5417i	0.0926313	+	0.0169942i
$739$	1146.65	+	474.958i	1.55162	+	0.642704i	0.983609	−	0.180314i	$-0.0577112\pi$
$739$	1146.65	+	474.958i	1.55162	+	0.642704i	0.568016	+	0.823018i	$0.307711\pi$
$740$	19.1314	−	8.60129i	0.0258533	−	0.0116234i
$741$	487.442	−	201.905i	0.657817	−	0.272477i
$742$	−74.8816	−	48.4355i	−0.100919	−	0.0652769i
$743$	512.021	+	512.021i	0.689126	+	0.689126i	0.962039	−	0.272913i	$-0.0879871\pi$
$743$	512.021	+	512.021i	0.689126	+	0.689126i	−0.272913	+	0.962039i	$0.587987\pi$
$744$	314.467	+	427.903i	0.422671	+	0.575138i
$745$	82.2533	+	82.2533i	0.110407	+	0.110407i
$746$	940.804	−	201.762i	1.26113	−	0.270458i
$747$	67.1628	−	27.8197i	0.0899101	−	0.0372420i
$748$	−30.4185	−	1019.97i	−0.0406665	−	1.36360i
$749$	57.7227	+	23.9095i	0.0770663	+	0.0319219i
$750$	74.7792	+	108.382i	0.0997056	+	0.144509i
$751$	335.629			0.446910			0.223455	−	0.974714i	$-0.428266\pi$
$751$	335.629			0.446910			0.223455	+	0.974714i	$0.428266\pi$
$752$	521.901	+	463.098i	0.694017	+	0.615822i
$753$			938.161i			1.24590i
$754$	−887.341	−	1286.08i	−1.17684	−	1.70567i
$755$	21.7393	−	52.4833i	0.0287938	−	0.0695143i
$756$	−48.2120	+	51.1761i	−0.0637725	+	0.0676932i
$757$	−139.805	−	337.518i	−0.184682	−	0.445863i	0.804238	−	0.594307i	$-0.202573\pi$
$757$	−139.805	−	337.518i	−0.184682	−	0.445863i	−0.988921	+	0.148444i	$0.952573\pi$
$758$	556.487	−	119.342i	0.734152	−	0.157444i
$759$	−856.215	+	856.215i	−1.12808	+	1.12808i
$760$	−30.2772	−	18.3276i	−0.0398385	−	0.0241153i
$761$	495.581	−	495.581i	0.651223	−	0.651223i	−0.302064	−	0.953288i	$-0.597676\pi$
$761$	495.581	−	495.581i	0.651223	−	0.651223i	0.953288	+	0.302064i	$0.0976758\pi$
$762$	744.208	+	481.374i	0.976651	+	0.631724i
$763$	−7.01728	−	16.9412i	−0.00919696	−	0.0222034i
$764$	−153.081	+	403.163i	−0.200368	+	0.527700i
$765$	−4.32079	+	10.4313i	−0.00564809	+	0.0136357i
$766$	−937.965	−	172.079i	−1.22450	−	0.224647i
$767$		−	96.0458i		−	0.125223i
$768$	−186.833	+	666.147i	−0.243273	+	0.867379i
$769$	372.267			0.484092			0.242046	−	0.970265i	$-0.422181\pi$
$769$	372.267			0.484092			0.242046	+	0.970265i	$0.422181\pi$
$770$	2.01586	−	10.9880i	0.00261800	−	0.0142701i
$771$	−271.689	−	112.537i	−0.352385	−	0.145963i
$772$	653.778	+	248.240i	0.846862	+	0.321554i
$773$	−534.778	+	221.512i	−0.691822	+	0.286562i	−0.700759	−	0.713398i	$-0.747155\pi$
$773$	−534.778	+	221.512i	−0.691822	+	0.286562i	0.00893708	+	0.999960i	$0.497155\pi$
$774$	35.5974	−	55.0339i	0.0459915	−	0.0711033i
$775$	−430.026	−	430.026i	−0.554873	−	0.554873i
$776$	−494.280	+	816.550i	−0.636959	+	1.05226i
$777$	12.4465	+	12.4465i	0.0160187	+	0.0160187i
$778$	−32.4775	−	151.441i	−0.0417448	−	0.194654i
$779$	−171.040	+	70.8470i	−0.219563	+	0.0909461i
$780$	−83.2234	−	78.4033i	−0.106697	−	0.100517i
$781$	−713.187	−	295.412i	−0.913172	−	0.378248i
$782$	534.455	−	368.752i	0.683446	−	0.471550i
$783$	−1045.33			−1.33503
$784$	516.424	−	581.998i	0.658704	−	0.742344i
$785$		−	67.6643i		−	0.0861965i
$786$	54.0674	−	37.3044i	0.0687881	−	0.0474610i
$787$	−280.233	+	676.541i	−0.356077	+	0.859646i	0.639767	+	0.768569i	$0.279031\pi$
$787$	−280.233	+	676.541i	−0.356077	+	0.859646i	−0.995844	+	0.0910769i	$0.970969\pi$
$788$	469.427	−	13.9996i	0.595719	−	0.0177660i
$789$	−219.612	−	530.190i	−0.278342	−	0.671978i
$790$	−13.9121	−	64.8713i	−0.0176102	−	0.0821155i
$791$	−60.5332	+	60.5332i	−0.0765274	+	0.0765274i
$792$	−205.170	+	150.781i	−0.259053	+	0.190379i
$793$	−141.059	+	141.059i	−0.177880	+	0.177880i
$794$	−141.510	+	218.775i	−0.178224	+	0.275535i
$795$	−37.1303	−	89.6404i	−0.0467047	−	0.112755i
$796$	−441.531	−	982.074i	−0.554687	−	1.23376i
$797$	92.5205	−	223.364i	0.116086	−	0.280256i	−0.855148	−	0.518384i	$-0.826534\pi$
$797$	92.5205	−	223.364i	0.116086	−	0.280256i	0.971234	+	0.238128i	$0.0765337\pi$
$798$	5.35923	−	29.2119i	0.00671583	−	0.0366064i
$799$			592.908i			0.742063i
$800$	96.2788	−	786.459i	0.120349	−	0.983073i
$801$	108.847			0.135888
$802$	342.317	+	62.8016i	0.426829	+	0.0783062i
$803$	−1672.62	−	692.821i	−2.08296	−	0.862790i
$804$	1.44020	+	3.20337i	0.00179130	+	0.00398429i
$805$	6.56751	−	2.72035i	0.00815839	−	0.00337932i
$806$	891.095	+	576.385i	1.10558	+	0.715117i
$807$	−528.455	−	528.455i	−0.654839	−	0.654839i
$808$	129.214	−	845.633i	0.159918	−	1.04658i
$809$	977.291	+	977.291i	1.20802	+	1.20802i	0.971666	+	0.236358i	$0.0759538\pi$
$809$	977.291	+	977.291i	1.20802	+	1.20802i	0.236358	+	0.971666i	$0.424046\pi$
$810$	−60.1779	+	12.9055i	−0.0742937	+	0.0159328i
$811$	553.320	−	229.193i	0.682269	−	0.282605i	−0.0145062	−	0.999895i	$-0.504618\pi$
$811$	553.320	−	229.193i	0.682269	−	0.282605i	0.696775	+	0.717290i	$0.254618\pi$
$812$	−87.9152	+	2.62188i	−0.108270	+	0.00322892i
$813$	−653.290	−	270.602i	−0.803555	−	0.332843i
$814$	228.273	+	330.850i	0.280434	+	0.406449i
$815$	−29.0550			−0.0356503
$816$	−528.781	+	256.950i	−0.648016	+	0.314889i
$817$			174.585i			0.213690i
$818$	−174.659	−	253.144i	−0.213519	−	0.309467i
$819$	−8.52734	+	20.5868i	−0.0104119	+	0.0251365i
$820$	29.2024	+	27.5111i	0.0356127	+	0.0335501i
$821$	390.123	+	941.839i	0.475180	+	1.14719i	0.961844	+	0.273597i	$0.0882134\pi$
$821$	390.123	+	941.839i	0.475180	+	1.14719i	−0.486665	+	0.873589i	$0.661787\pi$
$822$	−159.184	+	34.1380i	−0.193654	+	0.0415304i
$823$	−692.747	+	692.747i	−0.841734	+	0.841734i	−0.989084	−	0.147350i	$-0.952926\pi$
$823$	−692.747	+	692.747i	−0.841734	+	0.841734i	0.147350	+	0.989084i	$0.452926\pi$
$824$	1402.25	−	344.746i	1.70176	−	0.418381i
$825$	−887.815	+	887.815i	−1.07614	+	1.07614i
$826$	−4.53965	−	2.93637i	−0.00549594	−	0.00355492i
$827$	−401.669	−	969.714i	−0.485694	−	1.17257i	−0.956867	−	0.290528i	$-0.906169\pi$
$827$	−401.669	−	969.714i	−0.485694	−	1.17257i	0.471173	−	0.882041i	$-0.343831\pi$
$828$	−151.467	−	57.5122i	−0.182932	−	0.0694592i
$829$	562.011	−	1356.81i	0.677938	−	1.63669i	−0.0898281	−	0.995957i	$-0.528632\pi$
$829$	562.011	−	1356.81i	0.677938	−	1.63669i	0.767766	−	0.640730i	$-0.221368\pi$
$830$	41.2750	+	7.57233i	0.0497289	+	0.00912328i
$831$			848.321i			1.02084i
$832$	123.503	+	1377.14i	0.148442	+	1.65521i
$833$	661.182			0.793735
$834$	163.461	−	890.986i	0.195996	−	1.06833i
$835$	63.1537	+	26.1591i	0.0756331	+	0.0313283i
$836$	240.747	−	634.045i	0.287975	−	0.758427i
$837$	655.955	−	271.705i	0.783697	−	0.324618i
$838$	−435.457	+	673.220i	−0.519639	+	0.803365i
$839$	−708.611	−	708.611i	−0.844590	−	0.844590i	0.144862	−	0.989452i	$-0.453726\pi$
$839$	−708.611	−	708.611i	−0.844590	−	0.844590i	−0.989452	+	0.144862i	$0.953726\pi$
$840$	−6.25012	+	1.53660i	−0.00744062	+	0.00182929i
$841$	−329.986	−	329.986i	−0.392374	−	0.392374i
$842$	−272.513	−	1270.71i	−0.323649	−	1.50916i
$843$	76.9407	−	31.8699i	0.0912701	−	0.0378053i
$844$	−621.219	+	659.411i	−0.736041	+	0.781292i
$845$	−134.670	−	55.7823i	−0.159373	−	0.0660146i
$846$	121.771	−	84.0167i	0.143937	−	0.0993106i
$847$	140.499			0.165878
$848$	−383.611	+	1108.83i	−0.452372	+	1.30758i
$849$		−	1101.24i		−	1.29711i
$850$	554.180	−	382.362i	0.651976	−	0.449837i
$851$	−97.8810	+	236.306i	−0.115019	+	0.277680i
$852$	13.2577	+	444.550i	0.0155607	+	0.521772i
$853$	−178.189	−	430.187i	−0.208897	−	0.504322i	0.784353	−	0.620315i	$-0.212995\pi$
$853$	−178.189	−	430.187i	−0.208897	−	0.504322i	−0.993250	+	0.115992i	$0.962995\pi$
$854$	2.35468	+	10.9797i	0.00275723	+	0.0128568i
$855$	−5.30630	+	5.30630i	−0.00620620	+	0.00620620i
$856$	124.162	−	812.571i	0.145049	−	0.949265i
$857$	−195.982	+	195.982i	−0.228683	+	0.228683i	−0.812142	−	0.583459i	$-0.801699\pi$
$857$	−195.982	+	195.982i	−0.228683	+	0.228683i	0.583459	+	0.812142i	$0.301699\pi$
$858$	1189.98	−	1839.72i	1.38692	−	2.14419i
$859$	−155.060	−	374.347i	−0.180512	−	0.435794i	0.807560	−	0.589785i	$-0.200787\pi$
$859$	−155.060	−	374.347i	−0.180512	−	0.435794i	−0.988072	+	0.153991i	$0.950787\pi$
$860$	34.5075	−	15.5142i	0.0401250	−	0.0180398i
$861$	−12.8838	+	31.1043i	−0.0149638	+	0.0361258i
$862$	−104.626	+	570.294i	−0.121376	+	0.661594i
$863$			63.9126i			0.0740586i	0.999314	+	0.0370293i	$0.0117895\pi$
$863$			63.9126i			0.0740586i	−0.999314	+	0.0370293i	$0.988211\pi$
$864$	805.266	+	455.216i	0.932021	+	0.526871i
$865$	3.22835			0.00373219
$866$	−618.505	−	113.471i	−0.714209	−	0.131029i
$867$	260.035	+	107.710i	0.299925	+	0.124233i
$868$	54.4861	−	24.4964i	0.0627720	−	0.0282217i
$869$	1174.60	−	486.534i	1.35167	−	0.559879i
$870$	−80.3482	−	51.9714i	−0.0923542	−	0.0597372i
$871$	4.96332	+	4.96332i	0.00569842	+	0.00569842i
$872$	−194.401	+	142.866i	−0.222937	+	0.163837i
$873$	143.106	+	143.106i	0.163925	+	0.163925i
$874$	421.968	−	90.4938i	0.482801	−	0.103540i
$875$	13.6857	−	5.66881i	0.0156408	−	0.00647864i
$876$	31.0929	+	1042.59i	0.0354942	+	1.19017i
$877$	−34.2590	−	14.1905i	−0.0390638	−	0.0161808i	0.363066	−	0.931763i	$-0.381730\pi$
$877$	−34.2590	−	14.1905i	−0.0390638	−	0.0161808i	−0.402130	+	0.915583i	$0.631730\pi$
$878$	−930.762	−	1349.01i	−1.06009	−	1.53646i
$879$	−108.844			−0.123827
$880$	−146.716	+	8.75874i	−0.166722	+	0.00995311i
$881$			1126.03i			1.27812i	0.769155	+	0.639062i	$0.220677\pi$
$881$			1126.03i			1.27812i	−0.769155	+	0.639062i	$0.779323\pi$
$882$	−93.6913	−	135.792i	−0.106226	−	0.153960i
$883$	−114.384	+	276.148i	−0.129540	+	0.312738i	−0.975321	−	0.220793i	$-0.929135\pi$
$883$	−114.384	+	276.148i	−0.129540	+	0.312738i	0.845780	+	0.533531i	$0.179135\pi$
$884$	−805.665	+	855.196i	−0.911385	+	0.967417i
$885$	−2.25100	−	5.43439i	−0.00254350	−	0.00614055i
$886$	−550.539	+	118.067i	−0.621376	+	0.133258i
$887$	65.1075	−	65.1075i	0.0734020	−	0.0734020i	−0.669453	−	0.742855i	$-0.733471\pi$
$887$	65.1075	−	65.1075i	0.0734020	−	0.0734020i	0.742855	+	0.669453i	$0.233471\pi$
$888$	119.923	−	198.113i	0.135049	−	0.223100i
$889$	70.5052	−	70.5052i	0.0793085	−	0.0793085i
$890$	52.7570	+	34.1247i	0.0592775	+	0.0383423i
$891$	−451.334	−	1089.62i	−0.506548	−	1.22292i
$892$	147.448	−	388.328i	0.165301	−	0.435345i
$893$	−150.803	+	364.071i	−0.168873	+	0.407694i
$894$	1263.17	+	231.742i	1.41294	+	0.259219i
$895$			103.200i			0.115307i
$896$	68.8669	+	36.2652i	0.0768604	+	0.0404746i
$897$	1394.21			1.55430
$898$	−169.982	+	926.531i	−0.189289	+	1.03177i
$899$	820.576	+	339.894i	0.912765	+	0.378080i
$900$	−157.058	−	59.6348i	−0.174508	−	0.0662609i
$901$	−921.136	+	381.547i	−1.02235	+	0.423471i
$902$	−417.555	+	645.543i	−0.462921	+	0.715679i
$903$	22.4499	+	22.4499i	0.0248615	+	0.0248615i
$904$	963.514	+	583.242i	1.06583	+	0.645179i
$905$	54.0478	+	54.0478i	0.0597213	+	0.0597213i
$906$	−131.511	−	613.231i	−0.145156	−	0.676856i
$907$	1085.79	−	449.751i	1.19713	−	0.495866i	0.307058	−	0.951691i	$-0.400656\pi$
$907$	1085.79	−	449.751i	1.19713	−	0.495866i	0.890070	+	0.455825i	$0.150656\pi$
$908$	−334.315	−	314.952i	−0.368188	−	0.346864i
$909$	−167.574	−	69.4116i	−0.184350	−	0.0763604i
$910$	−10.5873	+	7.30483i	−0.0116344	+	0.00802728i
$911$	−37.8649			−0.0415641			−0.0207821	−	0.999784i	$-0.506616\pi$
$911$	−37.8649			−0.0415641			−0.0207821	+	0.999784i	$0.506616\pi$
$912$	−390.048	+	23.2854i	−0.427684	+	0.0255322i
$913$			804.143i			0.880770i
$914$	−1042.67	+	719.398i	−1.14077	+	0.787088i
$915$	−4.67532	+	11.2872i	−0.00510964	+	0.0123358i
$916$	−199.574	+	5.95187i	−0.217876	+	0.00649767i
$917$	−2.82794	−	6.82725i	−0.00308390	−	0.00744520i
$918$	164.825	+	768.572i	0.179548	+	0.837224i
$919$	−1205.51	+	1205.51i	−1.31176	+	1.31176i	−0.391640	+	0.920119i	$0.628092\pi$
$919$	−1205.51	+	1205.51i	−1.31176	+	1.31176i	−0.920119	+	0.391640i	$0.871908\pi$
$920$	−55.3842	−	75.3624i	−0.0602002	−	0.0819157i
$921$	−504.801	+	504.801i	−0.548101	+	0.548101i
$922$	−297.719	+	460.276i	−0.322906	+	0.499215i
$923$	340.139	+	821.169i	0.368515	+	0.889674i
$924$	−50.5743	−	112.490i	−0.0547341	−	0.121742i
$925$	−101.493	+	245.027i	−0.109723	+	0.264894i
$926$	235.938	−	1286.04i	0.254792	−	1.38881i
$927$		−	306.174i		−	0.330285i
$928$	309.641	+	1114.98i	0.333665	+	1.20149i
$929$	1384.29			1.49009			0.745045	−	0.667014i	$-0.232428\pi$
$929$	1384.29			1.49009			0.745045	+	0.667014i	$0.232428\pi$
$930$	63.9278	+	11.7282i	0.0687395	+	0.0126110i
$931$	405.994	+	168.168i	0.436084	+	0.180632i
$932$	145.447	+	323.510i	0.156059	+	0.347114i
$933$	−640.515	+	265.310i	−0.686511	+	0.284362i
$934$	172.843	+	111.800i	0.185057	+	0.119700i
$935$	−88.3137	−	88.3137i	−0.0944532	−	0.0944532i
$936$	289.804	+	44.2824i	0.309619	+	0.0473103i
$937$	−500.748	−	500.748i	−0.534416	−	0.534416i	0.387467	−	0.921883i	$-0.373350\pi$
$937$	−500.748	−	500.748i	−0.534416	−	0.534416i	−0.921883	+	0.387467i	$0.873350\pi$
$938$	0.386335	−	0.0828520i	0.000411871	−	8.83284e-5i
$939$	391.814	−	162.295i	0.417267	−	0.172838i
$940$	85.3613	−	2.54571i	0.0908099	−	0.00270821i
$941$	−1312.74	−	543.756i	−1.39505	−	0.577849i	−0.446588	−	0.894740i	$-0.647361\pi$
$941$	−1312.74	−	543.756i	−1.39505	−	0.577849i	−0.948462	+	0.316891i	$0.897361\pi$
$942$	−424.244	−	614.882i	−0.450365	−	0.652741i
$943$	−489.216			−0.518787
$944$	−23.2562	+	67.2222i	−0.0246358	+	0.0712099i
$945$			8.60544i			0.00910629i
$946$	411.738	+	596.757i	0.435241	+	0.630821i
$947$	−256.726	+	619.792i	−0.271094	+	0.654480i	−0.999531	−	0.0306337i	$-0.990247\pi$
$947$	−256.726	+	619.792i	−0.271094	+	0.654480i	0.728436	+	0.685114i	$0.240247\pi$
$948$	−533.155	−	502.275i	−0.562400	−	0.529826i
$949$	797.719	+	1925.86i	0.840589	+	2.02936i
$950$	437.542	−	93.8337i	0.460571	−	0.0987723i
$951$	669.951	−	669.951i	0.704470	−	0.704470i
$952$	15.7900	+	64.2256i	0.0165861	+	0.0674639i
$953$	948.406	−	948.406i	0.995179	−	0.995179i	−0.00480927	−	0.999988i	$-0.501531\pi$
$953$	948.406	−	948.406i	0.995179	−	0.995179i	0.999988	+	0.00480927i	$0.00153084\pi$
$954$	208.889	+	135.115i	0.218961	+	0.141630i
$955$	20.1989	+	48.7643i	0.0211506	+	0.0510621i
$956$	−1144.59	−	434.601i	−1.19727	−	0.454603i
$957$	701.730	−	1694.13i	0.733260	−	1.77025i
$958$	−1687.27	−	309.546i	−1.76124	−	0.323117i
$959$			18.3151i			0.0190981i
$960$	39.2636	+	75.0256i	0.0408995	+	0.0781517i
$961$	357.735			0.372253
$962$	83.5147	−	455.220i	0.0868136	−	0.473201i
$963$	−161.023	−	66.6978i	−0.167209	−	0.0692604i
$964$	−348.217	+	917.084i	−0.361221	+	0.951332i
$965$	79.0773	−	32.7549i	0.0819454	−	0.0339429i
$966$	42.6244	−	65.8977i	0.0441247	−	0.0682171i
$967$	−5.79422	−	5.79422i	−0.00599196	−	0.00599196i	0.704104	−	0.710096i	$-0.251349\pi$
$967$	−5.79422	−	5.79422i	−0.00599196	−	0.00599196i	−0.710096	+	0.704104i	$0.751349\pi$
$968$	−441.310	−	1795.03i	−0.455899	−	1.85437i
$969$	−234.785	−	234.785i	−0.242296	−	0.242296i
$970$	24.4969	+	114.228i	0.0252545	+	0.117761i
$971$	1644.17	−	681.037i	1.69327	−	0.701377i	0.693457	−	0.720498i	$-0.256087\pi$
$971$	1644.17	−	681.037i	1.69327	−	0.701377i	0.999817	+	0.0191210i	$0.00608677\pi$
$972$	247.656	−	262.881i	0.254790	−	0.270454i
$973$	−94.1498	−	38.9981i	−0.0967624	−	0.0400803i
$974$	−29.2096	+	20.1534i	−0.0299893	+	0.0206914i
$975$	1445.66			1.48273
$976$	132.882	−	64.5712i	0.136150	−	0.0661590i
$977$		−	538.935i		−	0.551623i	−0.961212	−	0.275811i	$-0.911054\pi$
$977$		−	538.935i		−	0.551623i	0.961212	−	0.275811i	$-0.0889465\pi$
$978$	−264.030	+	182.170i	−0.269970	+	0.186268i
$979$	−460.760	+	1112.37i	−0.470643	+	1.13623i
$980$	−2.83885	−	95.1907i	−0.00289679	−	0.0971333i
$981$	19.5753	+	47.2590i	0.0199545	+	0.0481744i
$982$	41.6261	+	194.101i	0.0423891	+	0.197658i
$983$	171.371	−	171.371i	0.174335	−	0.174335i	−0.614546	−	0.788881i	$-0.710661\pi$
$983$	171.371	−	171.371i	0.174335	−	0.174335i	0.788881	+	0.614546i	$0.210661\pi$
$984$	437.860	+	66.9056i	0.444980	+	0.0679935i
$985$	40.6450	−	40.6450i	0.0412639	−	0.0412639i
$986$	−534.053	+	825.650i	−0.541636	+	0.837374i
$987$	27.4242	+	66.2079i	0.0277854	+	0.0670799i
$988$	−712.228	+	320.211i	−0.720878	+	0.324100i
$989$	−176.549	+	426.227i	−0.178513	+	0.430967i
$990$	−5.62343	+	30.6520i	−0.00568023	+	0.0309616i
$991$		−	1670.67i		−	1.68584i	−0.538038	−	0.842921i	$-0.680834\pi$
$991$		−	1670.67i		−	1.68584i	0.538038	−	0.842921i	$-0.319166\pi$
$992$	−484.111	−	619.176i	−0.488015	−	0.624170i
$993$	−1697.32			−1.70929
$994$	49.2119	+	9.02842i	0.0495089	+	0.00908292i
$995$	−121.758	−	50.4337i	−0.122370	−	0.0506871i
$996$	422.554	−	189.976i	0.424251	−	0.190739i
$997$	1252.59	−	518.840i	1.25636	−	0.520402i	0.347570	−	0.937654i	$-0.387007\pi$
$997$	1252.59	−	518.840i	1.25636	−	0.520402i	0.908791	+	0.417252i	$0.137007\pi$
$998$	849.906	+	549.743i	0.851609	+	0.550844i
$999$	−218.943	−	218.943i	−0.219162	−	0.219162i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	32.3.h.a.19.3	✓	28
3.2	odd	2		288.3.u.a.19.5		28
4.3	odd	2		128.3.h.a.111.2		28
8.3	odd	2		256.3.h.a.223.6		28
8.5	even	2		256.3.h.b.223.2		28
32.5	even	8		128.3.h.a.15.2		28
32.11	odd	8		256.3.h.b.31.2		28
32.21	even	8		256.3.h.a.31.6		28
32.27	odd	8	inner	32.3.h.a.27.3	yes	28
96.59	even	8		288.3.u.a.91.5		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
32.3.h.a.19.3	✓	28	1.1	even	1	trivial
32.3.h.a.27.3	yes	28	32.27	odd	8	inner
128.3.h.a.15.2		28	32.5	even	8
128.3.h.a.111.2		28	4.3	odd	2
256.3.h.a.31.6		28	32.21	even	8
256.3.h.a.223.6		28	8.3	odd	2
256.3.h.b.31.2		28	32.11	odd	8
256.3.h.b.223.2		28	8.5	even	2
288.3.u.a.19.5		28	3.2	odd	2
288.3.u.a.91.5		28	96.59	even	8

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:	\( N \)	\(=\)	\( 32 = 2^{5} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	32.h (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.360897 + 1.96717i) q^{2} +(2.49683 + 1.03422i) q^{3} +(-3.73951 - 1.41989i) q^{4} +(-0.452310 + 0.187353i) q^{5} +(-2.93558 + 4.53843i) q^{6} +(0.429965 + 0.429965i) q^{7} +(4.14274 - 6.84381i) q^{8} +(-1.19943 - 1.19943i) q^{9} +O(q^{10})\)	\(q+(-0.360897 + 1.96717i) q^{2} +(2.49683 + 1.03422i) q^{3} +(-3.73951 - 1.41989i) q^{4} +(-0.452310 + 0.187353i) q^{5} +(-2.93558 + 4.53843i) q^{6} +(0.429965 + 0.429965i) q^{7} +(4.14274 - 6.84381i) q^{8} +(-1.19943 - 1.19943i) q^{9} +(-0.205317 - 0.957385i) q^{10} +(17.3350 - 7.18039i) q^{11} +(-7.86842 - 7.41269i) q^{12} +(-19.9596 - 8.26755i) q^{13} +(-1.00099 + 0.690640i) q^{14} -1.32310 q^{15} +(11.9678 + 10.6194i) q^{16} +13.5961i q^{17} +(2.79234 - 1.92660i) q^{18} +(-3.45810 + 8.34859i) q^{19} +(1.95744 - 0.0583763i) q^{20} +(0.628870 + 1.51823i) q^{21} +(7.86888 + 36.6922i) q^{22} +(-16.8850 + 16.8850i) q^{23} +(17.4217 - 12.8033i) q^{24} +(-17.5082 + 17.5082i) q^{25} +(23.4670 - 36.2802i) q^{26} +(-11.0623 - 26.7067i) q^{27} +(-0.997353 - 2.21836i) q^{28} +(13.8385 - 33.4091i) q^{29} +(0.477505 - 2.60277i) q^{30} +24.5614i q^{31} +(-25.2093 + 19.7102i) q^{32} +50.7086 q^{33} +(-26.7458 - 4.90679i) q^{34} +(-0.275033 - 0.113922i) q^{35} +(2.78221 + 6.18832i) q^{36} +(9.89595 - 4.09904i) q^{37} +(-15.1751 - 9.81565i) q^{38} +(-41.2853 - 41.2853i) q^{39} +(-0.591598 + 3.87168i) q^{40} +(14.4867 + 14.4867i) q^{41} +(-3.21356 + 0.689169i) q^{42} +(17.8494 - 7.39348i) q^{43} +(-75.0197 + 2.23730i) q^{44} +(0.767229 + 0.317796i) q^{45} +(-27.1219 - 39.3094i) q^{46} +43.6087 q^{47} +(18.8988 + 38.8921i) q^{48} -48.6303i q^{49} +(-28.1229 - 40.7602i) q^{50} +(-14.0613 + 33.9471i) q^{51} +(62.9001 + 59.2571i) q^{52} +(28.0630 + 67.7501i) q^{53} +(56.5289 - 12.1230i) q^{54} +(-6.49552 + 6.49552i) q^{55} +(4.72383 - 1.16136i) q^{56} +(-17.2685 + 17.2685i) q^{57} +(60.7270 + 39.2799i) q^{58} +(1.70130 + 4.10730i) q^{59} +(4.94775 + 1.87866i) q^{60} +(3.53360 - 8.53087i) q^{61} +(-48.3165 - 8.86416i) q^{62} -1.03142i q^{63} +(-29.6753 - 56.7043i) q^{64} +10.5769 q^{65} +(-18.3006 + 99.7523i) q^{66} +(-0.300169 - 0.124334i) q^{67} +(19.3050 - 50.8427i) q^{68} +(-59.6218 + 24.6961i) q^{69} +(0.323363 - 0.499921i) q^{70} +(-29.0914 - 29.0914i) q^{71} +(-13.1776 + 3.23972i) q^{72} +(-68.2273 - 68.2273i) q^{73} +(4.49208 + 20.9463i) q^{74} +(-61.8222 + 25.6076i) q^{75} +(24.7857 - 26.3095i) q^{76} +(10.5408 + 4.36612i) q^{77} +(96.1149 - 66.3154i) q^{78} +67.7588 q^{79} +(-7.40274 - 2.56105i) q^{80} -62.8565i q^{81} +(-33.7260 + 23.2695i) q^{82} +(-16.4008 + 39.5950i) q^{83} +(-0.195946 - 6.57034i) q^{84} +(-2.54727 - 6.14965i) q^{85} +(8.10241 + 37.7811i) q^{86} +(69.1047 - 69.1047i) q^{87} +(22.6733 - 148.384i) q^{88} +(-45.3745 + 45.3745i) q^{89} +(-0.902050 + 1.39458i) q^{90} +(-5.02718 - 12.1367i) q^{91} +(87.1165 - 39.1667i) q^{92} +(-25.4019 + 61.3257i) q^{93} +(-15.7383 + 85.7857i) q^{94} -4.42403i q^{95} +(-83.3279 + 23.1410i) q^{96} -119.312 q^{97} +(95.6639 + 17.5505i) q^{98} +(-29.4044 - 12.1797i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 28 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 28 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} - 44 q^{10} - 4 q^{11} - 52 q^{12} - 4 q^{13} - 20 q^{14} - 8 q^{15} + 16 q^{16} + 56 q^{18} - 4 q^{19} + 76 q^{20} - 4 q^{21} + 144 q^{22} - 68 q^{23} + 208 q^{24} - 4 q^{25} + 96 q^{26} - 100 q^{27} + 56 q^{28} - 4 q^{29} + 20 q^{30} - 24 q^{32} - 8 q^{33} - 48 q^{34} + 92 q^{35} - 336 q^{36} - 4 q^{37} - 396 q^{38} + 188 q^{39} - 408 q^{40} - 4 q^{41} - 424 q^{42} + 92 q^{43} - 188 q^{44} - 40 q^{45} - 36 q^{46} - 8 q^{47} + 48 q^{48} + 308 q^{50} + 224 q^{51} + 420 q^{52} - 164 q^{53} + 592 q^{54} + 252 q^{55} + 552 q^{56} - 4 q^{57} + 528 q^{58} + 124 q^{59} + 440 q^{60} - 68 q^{61} + 216 q^{62} - 232 q^{64} - 8 q^{65} - 580 q^{66} - 164 q^{67} - 368 q^{68} + 188 q^{69} - 664 q^{70} - 260 q^{71} - 748 q^{72} - 4 q^{73} - 532 q^{74} - 488 q^{75} - 516 q^{76} + 220 q^{77} - 236 q^{78} - 520 q^{79} + 312 q^{80} + 636 q^{82} - 484 q^{83} + 992 q^{84} + 96 q^{85} + 688 q^{86} - 452 q^{87} + 672 q^{88} - 4 q^{89} + 872 q^{90} - 196 q^{91} + 616 q^{92} + 32 q^{93} + 40 q^{94} - 128 q^{96} - 8 q^{97} - 328 q^{98} + 216 q^{99}+O(q^{100}) \) 28 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 - 44 * q^10 - 4 * q^11 - 52 * q^12 - 4 * q^13 - 20 * q^14 - 8 * q^15 + 16 * q^16 + 56 * q^18 - 4 * q^19 + 76 * q^20 - 4 * q^21 + 144 * q^22 - 68 * q^23 + 208 * q^24 - 4 * q^25 + 96 * q^26 - 100 * q^27 + 56 * q^28 - 4 * q^29 + 20 * q^30 - 24 * q^32 - 8 * q^33 - 48 * q^34 + 92 * q^35 - 336 * q^36 - 4 * q^37 - 396 * q^38 + 188 * q^39 - 408 * q^40 - 4 * q^41 - 424 * q^42 + 92 * q^43 - 188 * q^44 - 40 * q^45 - 36 * q^46 - 8 * q^47 + 48 * q^48 + 308 * q^50 + 224 * q^51 + 420 * q^52 - 164 * q^53 + 592 * q^54 + 252 * q^55 + 552 * q^56 - 4 * q^57 + 528 * q^58 + 124 * q^59 + 440 * q^60 - 68 * q^61 + 216 * q^62 - 232 * q^64 - 8 * q^65 - 580 * q^66 - 164 * q^67 - 368 * q^68 + 188 * q^69 - 664 * q^70 - 260 * q^71 - 748 * q^72 - 4 * q^73 - 532 * q^74 - 488 * q^75 - 516 * q^76 + 220 * q^77 - 236 * q^78 - 520 * q^79 + 312 * q^80 + 636 * q^82 - 484 * q^83 + 992 * q^84 + 96 * q^85 + 688 * q^86 - 452 * q^87 + 672 * q^88 - 4 * q^89 + 872 * q^90 - 196 * q^91 + 616 * q^92 + 32 * q^93 + 40 * q^94 - 128 * q^96 - 8 * q^97 - 328 * q^98 + 216 * q^99

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