LMFDB - Embedded newform 98.4.e.a.15.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,4,Mod(15,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([10]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("98.15");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	98.e (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.78218718056$
Analytic rank:	$0$
Dimension:	$42$
Relative dimension:	$7$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			15.6
Character	$\chi$	$=$	98.15
Dual form			98.4.e.a.85.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.445042 + 1.94986i) q^{2} +(3.18644 - 3.99567i) q^{3} +(-3.60388 - 1.73553i) q^{4} +(-8.89709 + 11.1566i) q^{5} +(6.37287 + 7.99133i) q^{6} +(-18.5074 + 0.691270i) q^{7} +(4.98792 - 6.25465i) q^{8} +(0.196101 + 0.859176i) q^{9} +O(q^{10})$	\(q+(-0.445042 + 1.94986i) q^{2} +(3.18644 - 3.99567i) q^{3} +(-3.60388 - 1.73553i) q^{4} +(-8.89709 + 11.1566i) q^{5} +(6.37287 + 7.99133i) q^{6} +(-18.5074 + 0.691270i) q^{7} +(4.98792 - 6.25465i) q^{8} +(0.196101 + 0.859176i) q^{9} +(-17.7942 - 22.3132i) q^{10} +(-8.67386 + 38.0027i) q^{11} +(-18.4181 + 8.86971i) q^{12} +(-12.7149 + 55.7077i) q^{13} +(6.88867 - 36.3943i) q^{14} +(16.2280 + 71.0996i) q^{15} +(9.97584 + 12.5093i) q^{16} +(69.2939 - 33.3702i) q^{17} -1.76254 q^{18} -52.6125 q^{19} +(51.4267 - 24.7658i) q^{20} +(-56.2104 + 76.1519i) q^{21} +(-70.2395 - 33.8256i) q^{22} +(-189.876 - 91.4393i) q^{23} +(-9.09781 - 39.8601i) q^{24} +(-17.4963 - 76.6564i) q^{25} +(-102.963 - 49.5845i) q^{26} +(128.380 + 61.8247i) q^{27} +(67.8979 + 29.6289i) q^{28} +(176.820 - 85.1519i) q^{29} -145.856 q^{30} -291.036 q^{31} +(-28.8310 + 13.8843i) q^{32} +(124.207 + 155.751i) q^{33} +(34.2283 + 149.964i) q^{34} +(156.949 - 212.629i) q^{35} +(0.784405 - 3.43670i) q^{36} +(219.603 - 105.755i) q^{37} +(23.4148 - 102.587i) q^{38} +(182.074 + 228.313i) q^{39} +(25.4027 + 111.296i) q^{40} +(-8.69287 + 10.9005i) q^{41} +(-123.469 - 143.493i) q^{42} +(292.489 + 366.769i) q^{43} +(97.2145 - 121.903i) q^{44} +(-11.3302 - 5.45634i) q^{45} +(262.796 - 329.536i) q^{46} +(-28.6456 + 125.505i) q^{47} +81.7704 q^{48} +(342.044 - 25.5872i) q^{49} +157.256 q^{50} +(87.4645 - 383.207i) q^{51} +(142.506 - 178.696i) q^{52} +(140.199 + 67.5161i) q^{53} +(-177.684 + 222.808i) q^{54} +(-346.808 - 434.884i) q^{55} +(-87.9895 + 119.205i) q^{56} +(-167.646 + 210.222i) q^{57} +(87.3418 + 382.669i) q^{58} +(61.2679 + 76.8275i) q^{59} +(64.9121 - 284.398i) q^{60} +(-350.314 + 168.702i) q^{61} +(129.523 - 567.478i) q^{62} +(-4.22324 - 15.7655i) q^{63} +(-14.2413 - 62.3954i) q^{64} +(-508.382 - 637.491i) q^{65} +(-358.969 + 172.871i) q^{66} -127.328 q^{67} -307.642 q^{68} +(-970.387 + 467.314i) q^{69} +(344.748 + 400.658i) q^{70} +(157.681 + 75.9350i) q^{71} +(6.35198 + 3.05895i) q^{72} +(141.340 + 619.253i) q^{73} +(108.475 + 475.259i) q^{74} +(-362.044 - 174.351i) q^{75} +(189.609 + 91.3108i) q^{76} +(134.260 - 709.325i) q^{77} +(-526.209 + 253.409i) q^{78} +113.793 q^{79} -228.317 q^{80} +(634.669 - 305.640i) q^{81} +(-17.3857 - 21.8010i) q^{82} +(-251.693 - 1102.74i) q^{83} +(334.740 - 176.887i) q^{84} +(-244.216 + 1069.98i) q^{85} +(-845.317 + 407.083i) q^{86} +(223.187 - 977.844i) q^{87} +(194.429 + 243.806i) q^{88} +(176.082 + 771.465i) q^{89} +(15.6815 - 19.6640i) q^{90} +(196.810 - 1039.79i) q^{91} +(525.592 + 659.071i) q^{92} +(-927.368 + 1162.88i) q^{93} +(-231.967 - 111.710i) q^{94} +(468.098 - 586.976i) q^{95} +(-36.3912 + 159.440i) q^{96} -118.751 q^{97} +(-102.333 + 678.324i) q^{98} -34.3519 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 42 q - 14 q^{2} - 5 q^{3} - 28 q^{4} + 12 q^{5} - 10 q^{6} - 7 q^{7} - 56 q^{8} - 98 q^{9}+O(q^{10}) $ 42 * q - 14 * q^2 - 5 * q^3 - 28 * q^4 + 12 * q^5 - 10 * q^6 - 7 * q^7 - 56 * q^8 - 98 * q^9	\( 42 q - 14 q^{2} - 5 q^{3} - 28 q^{4} + 12 q^{5} - 10 q^{6} - 7 q^{7} - 56 q^{8} - 98 q^{9} + 24 q^{10} + 28 q^{11} + 8 q^{12} + 14 q^{13} - 14 q^{14} + 161 q^{15} - 112 q^{16} + 338 q^{17} + 784 q^{18} - 842 q^{19} - 64 q^{20} + 371 q^{21} + 154 q^{22} - 168 q^{23} + 16 q^{24} - 217 q^{25} + 154 q^{26} + 355 q^{27} - 168 q^{28} + 161 q^{29} + 28 q^{30} - 1104 q^{31} - 224 q^{32} + 1006 q^{33} + 214 q^{34} - 385 q^{35} - 392 q^{36} + 490 q^{37} + 612 q^{38} + 693 q^{39} + 264 q^{40} - 14 q^{41} - 1666 q^{42} - 238 q^{43} - 280 q^{44} - 2208 q^{45} - 630 q^{46} - 737 q^{47} + 32 q^{48} - 1575 q^{49} + 2016 q^{50} - 1498 q^{51} + 476 q^{52} - 525 q^{53} + 346 q^{54} - 145 q^{55} - 168 q^{56} + 2226 q^{57} - 1148 q^{58} + 1871 q^{59} + 644 q^{60} - 275 q^{61} - 150 q^{62} + 2044 q^{63} - 448 q^{64} + 868 q^{65} + 1102 q^{66} - 3766 q^{67} - 3128 q^{68} + 677 q^{69} + 1512 q^{70} + 4697 q^{71} - 392 q^{72} + 156 q^{73} + 1078 q^{74} + 6275 q^{75} - 8 q^{76} - 3843 q^{77} - 280 q^{78} + 2114 q^{79} - 928 q^{80} + 3948 q^{81} - 28 q^{82} - 1897 q^{83} + 392 q^{84} - 1267 q^{85} - 2338 q^{86} - 66 q^{87} - 560 q^{88} + 4982 q^{89} + 2934 q^{90} - 2681 q^{91} - 1260 q^{92} - 2975 q^{93} - 2706 q^{94} + 1113 q^{95} + 64 q^{96} - 784 q^{97} + 686 q^{98} - 14966 q^{99}+O(q^{100}) \) 42 * q - 14 * q^2 - 5 * q^3 - 28 * q^4 + 12 * q^5 - 10 * q^6 - 7 * q^7 - 56 * q^8 - 98 * q^9 + 24 * q^10 + 28 * q^11 + 8 * q^12 + 14 * q^13 - 14 * q^14 + 161 * q^15 - 112 * q^16 + 338 * q^17 + 784 * q^18 - 842 * q^19 - 64 * q^20 + 371 * q^21 + 154 * q^22 - 168 * q^23 + 16 * q^24 - 217 * q^25 + 154 * q^26 + 355 * q^27 - 168 * q^28 + 161 * q^29 + 28 * q^30 - 1104 * q^31 - 224 * q^32 + 1006 * q^33 + 214 * q^34 - 385 * q^35 - 392 * q^36 + 490 * q^37 + 612 * q^38 + 693 * q^39 + 264 * q^40 - 14 * q^41 - 1666 * q^42 - 238 * q^43 - 280 * q^44 - 2208 * q^45 - 630 * q^46 - 737 * q^47 + 32 * q^48 - 1575 * q^49 + 2016 * q^50 - 1498 * q^51 + 476 * q^52 - 525 * q^53 + 346 * q^54 - 145 * q^55 - 168 * q^56 + 2226 * q^57 - 1148 * q^58 + 1871 * q^59 + 644 * q^60 - 275 * q^61 - 150 * q^62 + 2044 * q^63 - 448 * q^64 + 868 * q^65 + 1102 * q^66 - 3766 * q^67 - 3128 * q^68 + 677 * q^69 + 1512 * q^70 + 4697 * q^71 - 392 * q^72 + 156 * q^73 + 1078 * q^74 + 6275 * q^75 - 8 * q^76 - 3843 * q^77 - 280 * q^78 + 2114 * q^79 - 928 * q^80 + 3948 * q^81 - 28 * q^82 - 1897 * q^83 + 392 * q^84 - 1267 * q^85 - 2338 * q^86 - 66 * q^87 - 560 * q^88 + 4982 * q^89 + 2934 * q^90 - 2681 * q^91 - 1260 * q^92 - 2975 * q^93 - 2706 * q^94 + 1113 * q^95 + 64 * q^96 - 784 * q^97 + 686 * q^98 - 14966 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{5}{7}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.445042	+	1.94986i	−0.157346	+	0.689378i
$2$	−0.445042	+	1.94986i	−0.157346	+	0.689378i
$3$	3.18644	−	3.99567i	0.613230	−	0.768966i	−0.374144	−	0.927371i	$-0.622063\pi$
$3$	3.18644	−	3.99567i	0.613230	−	0.768966i	0.987374	+	0.158404i	$0.0506349\pi$
$4$	−3.60388	−	1.73553i	−0.450484	−	0.216942i
$5$	−8.89709	+	11.1566i	−0.795780	+	0.997876i	0.204041	+	0.978962i	$0.434592\pi$
$5$	−8.89709	+	11.1566i	−0.795780	+	0.997876i	−0.999821	+	0.0189140i	$0.993979\pi$
$6$	6.37287	+	7.99133i	0.433619	+	0.543741i
$7$	−18.5074	+	0.691270i	−0.999303	+	0.0373251i
$7$	−18.5074	+	0.691270i	−0.999303	+	0.0373251i
$8$	4.98792	−	6.25465i	0.220437	−	0.276419i
$9$	0.196101	+	0.859176i	0.00726301	+	0.0318213i
$10$	−17.7942	−	22.3132i	−0.562701	−	0.705605i
$11$	−8.67386	+	38.0027i	−0.237752	+	1.04166i	0.705273	+	0.708935i	$0.250824\pi$
$11$	−8.67386	+	38.0027i	−0.237752	+	1.04166i	−0.943025	+	0.332722i	$0.892033\pi$
$12$	−18.4181	+	8.86971i	−0.443072	+	0.213372i
$13$	−12.7149	+	55.7077i	−0.271268	+	1.18850i	0.637250	+	0.770657i	$0.280072\pi$
$13$	−12.7149	+	55.7077i	−0.271268	+	1.18850i	−0.908518	+	0.417845i	$0.862785\pi$
$14$	6.88867	−	36.3943i	0.131505	−	0.694771i
$15$	16.2280	+	71.0996i	0.279337	+	1.22386i
$16$	9.97584	+	12.5093i	0.155872	+	0.195458i
$17$	69.2939	−	33.3702i	0.988602	−	0.476085i	0.131546	−	0.991310i	$-0.458006\pi$
$17$	69.2939	−	33.3702i	0.988602	−	0.476085i	0.857055	+	0.515225i	$0.172291\pi$
$18$	−1.76254			−0.0230797
$19$	−52.6125			−0.635270			−0.317635	−	0.948213i	$-0.602889\pi$
$19$	−52.6125			−0.635270			−0.317635	+	0.948213i	$0.602889\pi$
$20$	51.4267	−	24.7658i	0.574968	−	0.276890i
$21$	−56.2104	+	76.1519i	−0.584101	+	0.791319i
$22$	−70.2395	−	33.8256i	−0.680687	−	0.327801i
$23$	−189.876	−	91.4393i	−1.72138	−	0.828974i	−0.988971	−	0.148112i	$-0.952680\pi$
$23$	−189.876	−	91.4393i	−1.72138	−	0.828974i	−0.732412	−	0.680862i	$-0.761605\pi$
$24$	−9.09781	−	39.8601i	−0.0773784	−	0.339017i
$25$	−17.4963	−	76.6564i	−0.139971	−	0.613251i
$26$	−102.963	−	49.5845i	−0.776644	−	0.374012i
$27$	128.380	+	61.8247i	0.915067	+	0.440673i
$28$	67.8979	+	29.6289i	0.458268	+	0.199976i
$29$	176.820	−	85.1519i	1.13223	−	0.545252i	0.228579	−	0.973525i	$-0.426592\pi$
$29$	176.820	−	85.1519i	1.13223	−	0.545252i	0.903649	+	0.428273i	$0.140878\pi$
$30$	−145.856			−0.887652
$31$	−291.036			−1.68618			−0.843090	−	0.537772i	$-0.819266\pi$
$31$	−291.036			−1.68618			−0.843090	+	0.537772i	$0.819266\pi$
$32$	−28.8310	+	13.8843i	−0.159270	+	0.0767005i
$33$	124.207	+	155.751i	0.655203	+	0.821599i
$34$	34.2283	+	149.964i	0.172650	+	0.756431i
$35$	156.949	−	212.629i	0.757979	−	1.02688i
$36$	0.784405	−	3.43670i	0.00363151	−	0.0159107i
$37$	219.603	−	105.755i	0.975742	−	0.469893i	0.123104	−	0.992394i	$-0.460715\pi$
$37$	219.603	−	105.755i	0.975742	−	0.469893i	0.852639	+	0.522501i	$0.175001\pi$
$38$	23.4148	−	102.587i	0.0999572	−	0.437941i
$39$	182.074	+	228.313i	0.747568	+	0.937421i
$40$	25.4027	+	111.296i	0.100413	+	0.439938i
$41$	−8.69287	+	10.9005i	−0.0331122	+	0.0415213i	−0.798112	−	0.602509i	$-0.794168\pi$
$41$	−8.69287	+	10.9005i	−0.0331122	+	0.0415213i	0.765000	+	0.644031i	$0.222739\pi$
$42$	−123.469	−	143.493i	−0.453612	−	0.527178i
$43$	292.489	+	366.769i	1.03731	+	1.30074i	0.952565	+	0.304336i	$0.0984347\pi$
$43$	292.489	+	366.769i	1.03731	+	1.30074i	0.0847405	+	0.996403i	$0.472994\pi$
$44$	97.2145	−	121.903i	0.333083	−	0.417672i
$45$	−11.3302	−	5.45634i	−0.0375335	−	0.0180752i
$46$	262.796	−	329.536i	0.842329	−	1.05625i
$47$	−28.6456	+	125.505i	−0.0889020	+	0.389505i	−0.999729	−	0.0232835i	$-0.992588\pi$
$47$	−28.6456	+	125.505i	−0.0889020	+	0.389505i	0.910827	+	0.412788i	$0.135445\pi$
$48$	81.7704			0.245886
$49$	342.044	−	25.5872i	0.997214	−	0.0745981i
$50$	157.256			0.444786
$51$	87.4645	−	383.207i	0.240147	−	1.05215i
$52$	142.506	−	178.696i	0.380038	−	0.476552i
$53$	140.199	+	67.5161i	0.363354	+	0.174982i	0.606648	−	0.794970i	$-0.292514\pi$
$53$	140.199	+	67.5161i	0.363354	+	0.174982i	−0.243294	+	0.969953i	$0.578228\pi$
$54$	−177.684	+	222.808i	−0.447772	+	0.561489i
$55$	−346.808	−	434.884i	−0.850247	−	1.06618i
$56$	−87.9895	+	119.205i	−0.209966	+	0.284454i
$57$	−167.646	+	210.222i	−0.389567	+	0.488501i
$58$	87.3418	+	382.669i	0.197733	+	0.866326i
$59$	61.2679	+	76.8275i	0.135193	+	0.169527i	0.844820	−	0.535051i	$-0.179708\pi$
$59$	61.2679	+	76.8275i	0.135193	+	0.169527i	−0.709626	+	0.704578i	$0.751136\pi$
$60$	64.9121	−	284.398i	0.139669	−	0.611928i
$61$	−350.314	+	168.702i	−0.735296	+	0.354100i	−0.763765	−	0.645495i	$-0.776651\pi$
$61$	−350.314	+	168.702i	−0.735296	+	0.354100i	0.0284687	+	0.999595i	$0.490937\pi$
$62$	129.523	−	567.478i	0.265314	−	1.16242i
$63$	−4.22324	−	15.7655i	−0.00844568	−	0.0315281i
$64$	−14.2413	−	62.3954i	−0.0278151	−	0.121866i
$65$	−508.382	−	637.491i	−0.970108	−	1.21648i
$66$	−358.969	+	172.871i	−0.669486	+	0.322407i
$67$	−127.328			−0.232173			−0.116087	−	0.993239i	$-0.537035\pi$
$67$	−127.328			−0.232173			−0.116087	+	0.993239i	$0.537035\pi$
$68$	−307.642			−0.548633
$69$	−970.387	+	467.314i	−1.69306	+	0.815333i
$70$	344.748	+	400.658i	0.588646	+	0.684111i
$71$	157.681	+	75.9350i	0.263567	+	0.126927i	0.561001	−	0.827815i	$-0.310416\pi$
$71$	157.681	+	75.9350i	0.263567	+	0.126927i	−0.297434	+	0.954742i	$0.596131\pi$
$72$	6.35198	+	3.05895i	0.0103971	+	0.00500696i
$73$	141.340	+	619.253i	0.226611	+	0.992850i	0.952381	+	0.304912i	$0.0986269\pi$
$73$	141.340	+	619.253i	0.226611	+	0.992850i	−0.725769	+	0.687938i	$0.758516\pi$
$74$	108.475	+	475.259i	0.170405	+	0.746591i
$75$	−362.044	−	174.351i	−0.557404	−	0.268432i
$76$	189.609	+	91.3108i	0.286179	+	0.137817i
$77$	134.260	−	709.325i	0.198706	−	1.04981i
$78$	−526.209	+	253.409i	−0.763864	+	0.367858i
$79$	113.793			0.162059			0.0810297	−	0.996712i	$-0.474179\pi$
$79$	113.793			0.162059			0.0810297	+	0.996712i	$0.474179\pi$
$80$	−228.317			−0.319083
$81$	634.669	−	305.640i	0.870602	−	0.419260i
$82$	−17.3857	−	21.8010i	−0.0234138	−	0.0293600i
$83$	−251.693	−	1102.74i	−0.332854	−	1.45833i	−0.813577	−	0.581458i	$-0.802483\pi$
$83$	−251.693	−	1102.74i	−0.332854	−	1.45833i	0.480722	−	0.876873i	$-0.340375\pi$
$84$	334.740	−	176.887i	0.434799	−	0.229761i
$85$	−244.216	+	1069.98i	−0.311635	+	1.36536i
$86$	−845.317	+	407.083i	−1.05992	+	0.510429i
$87$	223.187	−	977.844i	0.275036	−	1.20501i
$88$	194.429	+	243.806i	0.235525	+	0.295339i
$89$	176.082	+	771.465i	0.209715	+	0.918822i	0.964756	+	0.263145i	$0.0847596\pi$
$89$	176.082	+	771.465i	0.209715	+	0.918822i	−0.755041	+	0.655677i	$0.772383\pi$
$90$	15.6815	−	19.6640i	0.0183664	−	0.0230307i
$91$	196.810	−	1039.79i	0.226718	−	1.19780i
$92$	525.592	+	659.071i	0.595617	+	0.746880i
$93$	−927.368	+	1162.88i	−1.03402	+	1.29662i
$94$	−231.967	−	111.710i	−0.254528	−	0.122574i
$95$	468.098	−	586.976i	0.505535	−	0.633921i
$96$	−36.3912	+	159.440i	−0.0386892	+	0.169509i
$97$	−118.751			−0.124303			−0.0621514	−	0.998067i	$-0.519796\pi$
$97$	−118.751			−0.124303			−0.0621514	+	0.998067i	$0.519796\pi$
$98$	−102.333	+	678.324i	−0.105481	+	0.699195i
$99$	−34.3519			−0.0348737
$100$	−69.9853	+	306.626i	−0.0699853	+	0.306626i
$101$	−328.814	+	412.320i	−0.323943	+	0.406212i	−0.916961	−	0.398978i	$-0.869365\pi$
$101$	−328.814	+	412.320i	−0.323943	+	0.406212i	0.593018	+	0.805190i	$0.297936\pi$
$102$	708.273	+	341.086i	0.687544	+	0.331104i
$103$	−410.706	+	515.010i	−0.392894	+	0.492674i	−0.938457	−	0.345396i	$-0.887745\pi$
$103$	−410.706	+	515.010i	−0.392894	+	0.492674i	0.545563	+	0.838070i	$0.316316\pi$
$104$	285.011	+	357.393i	0.268727	+	0.336973i
$105$	−349.487	−	1304.65i	−0.324823	−	1.21258i
$106$	−194.041	+	243.320i	−0.177801	+	0.222956i
$107$	359.000	+	1572.88i	0.324354	+	1.42109i	0.829719	+	0.558181i	$0.188500\pi$
$107$	359.000	+	1572.88i	0.324354	+	1.42109i	−0.505366	+	0.862905i	$0.668642\pi$
$108$	−355.368	−	445.617i	−0.316623	−	0.397033i
$109$	−347.436	+	1522.22i	−0.305306	+	1.33763i	0.556692	+	0.830719i	$0.312070\pi$
$109$	−347.436	+	1522.22i	−0.305306	+	1.33763i	−0.861997	+	0.506913i	$0.830787\pi$
$110$	1002.30	−	482.685i	0.868782	−	0.418383i
$111$	277.188	−	1214.44i	0.237023	−	1.03847i
$112$	−193.274	−	224.618i	−0.163059	−	0.189504i
$113$	−102.534	−	449.229i	−0.0853588	−	0.373981i	0.914148	−	0.405380i	$-0.132861\pi$
$113$	−102.534	−	449.229i	−0.0853588	−	0.373981i	−0.999507	+	0.0313989i	$0.990004\pi$
$114$	−335.293	−	420.444i	−0.275465	−	0.345422i
$115$	2709.49	−	1304.82i	2.19705	−	1.05805i
$116$	−785.021			−0.628339
$117$	−50.3561			−0.0397899
$118$	−177.069	+	85.2721i	−0.138140	+	0.0665249i
$119$	−1259.38	+	665.494i	−0.970143	+	0.512653i
$120$	525.647	+	253.138i	0.399873	+	0.192569i
$121$	−169.777	−	81.7602i	−0.127556	−	0.0614277i
$122$	−173.041	−	758.140i	−0.128413	−	0.562613i
$123$	15.8555	+	69.4676i	0.0116231	+	0.0509243i
$124$	1048.86	+	505.103i	0.759598	+	0.365803i
$125$	−596.192	−	287.111i	−0.426600	−	0.205440i
$126$	32.6200	−	1.21839i	0.0230637	−	0.000861453i
$127$	19.7302	−	9.50159i	0.0137856	−	0.00663881i	−0.426978	−	0.904262i	$-0.640422\pi$
$127$	19.7302	−	9.50159i	0.0137856	−	0.00663881i	0.440764	+	0.897623i	$0.354708\pi$
$128$	128.000			0.0883883
$129$	2397.48			1.63633
$130$	1469.27	−	707.562i	0.991256	−	0.477364i
$131$	−1350.46	−	1693.42i	−0.900689	−	1.12943i	−0.991046	−	0.133519i	$-0.957372\pi$
$131$	−1350.46	−	1693.42i	−0.900689	−	1.12943i	0.0903574	−	0.995909i	$-0.471199\pi$
$132$	−177.316	−	776.873i	−0.116920	−	0.512258i
$133$	973.718	−	36.3694i	0.634827	−	0.0237115i
$134$	56.6664	−	248.272i	0.0365316	−	0.160055i
$135$	−1831.96	+	882.227i	−1.16793	+	0.562445i
$136$	136.913	−	599.857i	0.0863252	−	0.378215i
$137$	510.130	+	639.683i	0.318127	+	0.398918i	0.915024	−	0.403399i	$-0.132171\pi$
$137$	510.130	+	639.683i	0.318127	+	0.398918i	−0.596897	+	0.802318i	$0.703600\pi$
$138$	−479.332	−	2100.09i	−0.295677	−	1.29545i
$139$	−821.014	+	1029.52i	−0.500989	+	0.628220i	−0.966452	−	0.256847i	$-0.917316\pi$
$139$	−821.014	+	1029.52i	−0.500989	+	0.628220i	0.465463	+	0.885067i	$0.345888\pi$
$140$	−934.652	+	493.899i	−0.564232	+	0.298158i
$141$	410.197	+	514.371i	0.244999	+	0.307219i
$142$	−218.237	+	273.660i	−0.128972	+	0.161726i
$143$	−2006.75	−	966.401i	−1.17352	−	0.565136i
$144$	−8.79142	+	11.0241i	−0.00508763	+	0.00637968i
$145$	−623.176	+	2730.31i	−0.356910	+	1.56372i
$146$	−1270.36			−0.720105
$147$	987.665	−	1448.23i	0.554158	−	0.812570i
$148$	−974.962			−0.541496
$149$	601.945	−	2637.29i	0.330961	−	1.45004i	−0.486312	−	0.873785i	$-0.661658\pi$
$149$	601.945	−	2637.29i	0.330961	−	1.45004i	0.817273	−	0.576251i	$-0.195485\pi$
$150$	501.085	−	628.341i	0.272756	−	0.342025i
$151$	2611.14	+	1257.46i	1.40723	+	0.677686i	0.974614	−	0.223893i	$-0.0718766\pi$
$151$	2611.14	+	1257.46i	1.40723	+	0.677686i	0.432615	+	0.901579i	$0.357591\pi$
$152$	−262.427	+	329.073i	−0.140037	+	0.175601i
$153$	42.2595	+	52.9917i	0.0223299	+	0.0280008i
$154$	1323.33	+	577.467i	0.692448	+	0.302166i
$155$	2589.37	−	3246.97i	1.34183	−	1.68260i
$156$	−259.926	−	1138.81i	−0.133402	−	0.584472i
$157$	−1139.18	−	1428.48i	−0.579084	−	0.726149i	0.402872	−	0.915256i	$-0.368012\pi$
$157$	−1139.18	−	1428.48i	−0.579084	−	0.726149i	−0.981956	+	0.189108i	$0.939441\pi$
$158$	−50.6425	+	221.879i	−0.0254994	+	0.111720i
$159$	716.506	−	345.051i	0.357375	−	0.172103i
$160$	101.611	−	445.186i	0.0502064	−	0.219969i
$161$	3577.30	+	1561.04i	1.75112	+	0.764146i
$162$	313.500	+	1373.54i	0.152043	+	0.666143i
$163$	1744.22	+	2187.18i	0.838146	+	1.05100i	0.997959	+	0.0638551i	$0.0203395\pi$
$163$	1744.22	+	2187.18i	0.838146	+	1.05100i	−0.159813	+	0.987147i	$0.551089\pi$
$164$	50.2462	−	24.1973i	0.0239242	−	0.0115213i
$165$	−2842.73			−1.34125
$166$	2262.20			1.05771
$167$	−1320.88	+	636.102i	−0.612052	+	0.294749i	−0.714114	−	0.700029i	$-0.753170\pi$
$167$	−1320.88	+	636.102i	−0.612052	+	0.294749i	0.102062	+	0.994778i	$0.467456\pi$
$168$	195.930	+	731.416i	0.0899784	+	0.335893i
$169$	−962.245	−	463.393i	−0.437982	−	0.210921i
$170$	−1977.62	−	952.372i	−0.892216	−	0.429668i
$171$	−10.3174	−	45.2034i	−0.00461397	−	0.0202151i
$172$	−417.552	−	1829.42i	−0.185105	−	0.810998i
$173$	2005.88	+	965.983i	0.881529	+	0.424522i	0.819183	−	0.573532i	$-0.194427\pi$
$173$	2005.88	+	965.983i	0.881529	+	0.424522i	0.0623465	+	0.998055i	$0.480142\pi$
$174$	1807.33	+	870.363i	0.787432	+	0.379207i
$175$	376.801	+	1406.61i	0.162763	+	0.607600i
$176$	−561.916	+	270.604i	−0.240659	+	0.115895i
$177$	502.204			0.213265
$178$	−1582.61			−0.666413
$179$	1662.65	−	800.688i	0.694257	−	0.334336i	−0.0532588	−	0.998581i	$-0.516961\pi$
$179$	1662.65	−	800.688i	0.694257	−	0.334336i	0.747516	+	0.664244i	$0.231247\pi$
$180$	31.3630	+	39.3280i	0.0129870	+	0.0162852i
$181$	−159.293	−	697.907i	−0.0654151	−	0.286602i	0.931631	−	0.363405i	$-0.118386\pi$
$181$	−159.293	−	697.907i	−0.0654151	−	0.286602i	−0.997046	+	0.0768028i	$0.975529\pi$
$182$	1939.85	+	846.502i	0.790063	+	0.344763i
$183$	−442.175	+	1937.29i	−0.178615	+	0.782562i
$184$	−1519.00	+	731.514i	−0.608601	+	0.293087i
$185$	−773.958	+	3390.93i	−0.307581	+	1.34760i
$186$	−1854.74	−	2325.77i	−0.731160	−	0.916846i
$187$	667.110	+	2922.80i	0.260876	+	1.14297i
$188$	321.053	−	402.588i	0.124549	−	0.156179i
$189$	−2418.72	−	1055.47i	−0.930877	−	0.406211i
$190$	936.196	+	1173.95i	0.357467	+	0.448250i
$191$	875.063	−	1097.29i	0.331504	−	0.415693i	−0.587945	−	0.808901i	$-0.700063\pi$
$191$	875.063	−	1097.29i	0.331504	−	0.415693i	0.919450	+	0.393207i	$0.128634\pi$
$192$	−294.690	−	141.915i	−0.110768	−	0.0533430i
$193$	−2425.79	+	3041.84i	−0.904726	+	1.13449i	0.0856825	+	0.996322i	$0.472693\pi$
$193$	−2425.79	+	3041.84i	−0.904726	+	1.13449i	−0.990409	+	0.138168i	$0.955878\pi$
$194$	52.8493	−	231.548i	0.0195585	−	0.0856916i
$195$	−4167.13			−1.53033
$196$	−1277.09	−	501.417i	−0.465413	−	0.182732i
$197$	−1305.63			−0.472195			−0.236098	−	0.971729i	$-0.575869\pi$
$197$	−1305.63			−0.472195			−0.236098	+	0.971729i	$0.575869\pi$
$198$	15.2880	−	66.9813i	0.00548724	−	0.0240412i
$199$	67.7314	−	84.9325i	0.0241274	−	0.0302548i	−0.769621	−	0.638500i	$-0.779555\pi$
$199$	67.7314	−	84.9325i	0.0241274	−	0.0302548i	0.793749	+	0.608246i	$0.208126\pi$
$200$	−566.730	−	272.923i	−0.200369	−	0.0964927i
$201$	−405.723	+	508.761i	−0.142376	+	0.178534i
$202$	−657.629	−	824.640i	−0.229062	−	0.287235i
$203$	−3213.60	+	1698.17i	−1.11109	+	0.587133i
$204$	−980.280	+	1229.23i	−0.336438	+	0.421880i
$205$	−44.2714	−	193.966i	−0.0150832	−	0.0660837i
$206$	−821.413	−	1030.02i	−0.277818	−	0.348373i
$207$	41.3276	−	181.068i	0.0138766	−	0.0607975i
$208$	−823.706	+	396.676i	−0.274585	+	0.132233i
$209$	456.353	−	1999.41i	0.151036	−	0.661734i
$210$	2699.41	−	100.826i	0.887033	−	0.0331317i
$211$	−1217.80	−	5335.54i	−0.397332	−	1.74082i	−0.637833	−	0.770175i	$-0.720169\pi$
$211$	−1217.80	−	5335.54i	−0.397332	−	1.74082i	0.240502	−	0.970649i	$-0.422688\pi$
$212$	−388.082	−	486.639i	−0.125724	−	0.157653i
$213$	805.850	−	388.077i	0.259230	−	0.124839i
$214$	−3226.66			−1.03070
$215$	−6694.20			−2.12344
$216$	1027.04	−	494.598i	0.323525	−	0.155801i
$217$	5386.31	−	201.184i	1.68501	−	0.0629368i
$218$	−2813.48	−	1354.90i	−0.874095	−	0.420942i
$219$	2924.70	+	1408.46i	0.902433	+	0.434589i
$220$	495.098	+	2169.16i	0.151725	+	0.664750i
$221$	977.908	+	4284.50i	0.297653	+	1.30410i
$222$	2244.62	+	1080.95i	0.678600	+	0.326797i
$223$	5428.55	+	2614.25i	1.63015	+	0.785036i	0.999963	+	0.00858898i	$0.00273399\pi$
$223$	5428.55	+	2614.25i	1.63015	+	0.785036i	0.630182	+	0.776447i	$0.282980\pi$
$224$	523.988	−	276.891i	0.156296	−	0.0825919i
$225$	62.4303	−	30.0649i	0.0184979	−	0.00890811i
$226$	921.563			0.271245
$227$	−725.047			−0.211996			−0.105998	−	0.994366i	$-0.533804\pi$
$227$	−725.047			−0.211996			−0.105998	+	0.994366i	$0.533804\pi$
$228$	969.024	−	466.657i	0.281470	−	0.135549i
$229$	−818.813	−	1026.76i	−0.236283	−	0.296289i	0.649526	−	0.760339i	$-0.274967\pi$
$229$	−818.813	−	1026.76i	−0.236283	−	0.296289i	−0.885809	+	0.464050i	$0.846396\pi$
$230$	1338.38	+	5863.82i	0.383696	+	1.68108i
$231$	−2406.41	−	2796.68i	−0.685413	−	0.796571i
$232$	349.367	−	1530.68i	0.0988667	−	0.433163i
$233$	3486.66	−	1679.09i	0.980337	−	0.472105i	0.126116	−	0.992016i	$-0.459749\pi$
$233$	3486.66	−	1679.09i	0.980337	−	0.472105i	0.854221	+	0.519910i	$0.174035\pi$
$234$	22.4106	−	98.1871i	0.00626079	−	0.0274303i
$235$	−1145.34	−	1436.21i	−0.317931	−	0.398673i
$236$	−87.4651	−	383.209i	−0.0241250	−	0.105698i
$237$	362.593	−	454.678i	0.0993796	−	0.124618i
$238$	−737.142	−	2751.78i	−0.200764	−	0.749459i
$239$	1493.29	+	1872.53i	0.404155	+	0.506795i	0.941706	−	0.336437i	$-0.109222\pi$
$239$	1493.29	+	1872.53i	0.404155	+	0.506795i	−0.537551	+	0.843231i	$0.680650\pi$
$240$	−727.518	+	912.279i	−0.195671	+	0.245364i
$241$	−4155.42	−	2001.15i	−1.11068	−	0.534876i	−0.213680	−	0.976904i	$-0.568545\pi$
$241$	−4155.42	−	2001.15i	−1.11068	−	0.534876i	−0.897001	+	0.442028i	$0.854259\pi$
$242$	234.978	−	294.654i	0.0624173	−	0.0782688i
$243$	−55.0023	+	240.981i	−0.0145202	+	0.0636170i
$244$	1555.27			0.408058
$245$	−2757.73	+	4043.70i	−0.719123	+	1.05446i
$246$	−142.508			−0.0369349
$247$	668.963	−	2930.92i	0.172328	−	0.755020i
$248$	−1451.66	+	1820.33i	−0.371697	+	0.466093i
$249$	−5208.18	−	2508.13i	−1.32552	−	0.638338i
$250$	825.155	−	1034.71i	0.208750	−	0.261764i
$251$	−2237.78	−	2806.09i	−0.562739	−	0.705653i	0.416322	−	0.909217i	$-0.363319\pi$
$251$	−2237.78	−	2806.09i	−0.562739	−	0.705653i	−0.979062	+	0.203564i	$0.934747\pi$
$252$	−12.1416	+	64.1465i	−0.00303511	+	0.0160351i
$253$	5121.89	−	6422.65i	1.27277	−	1.59600i
$254$	9.74594	+	42.6997i	0.00240754	+	0.0105481i
$255$	3497.11	+	4385.23i	0.858813	+	1.07692i
$256$	−56.9654	+	249.582i	−0.0139076	+	0.0609330i
$257$	1987.71	−	957.231i	0.482451	−	0.232336i	−0.176817	−	0.984244i	$-0.556580\pi$
$257$	1987.71	−	957.231i	0.482451	−	0.232336i	0.659269	+	0.751907i	$0.270866\pi$
$258$	−1066.98	+	4674.75i	−0.257470	+	1.12805i
$259$	−3991.16	+	2109.05i	−0.957523	+	0.505985i
$260$	725.758	+	3179.75i	0.173114	+	0.758461i
$261$	107.835	+	135.221i	0.0255740	+	0.0320688i
$262$	3902.94	−	1879.56i	0.920323	−	0.443204i
$263$	1014.31			0.237815			0.118907	−	0.992905i	$-0.462061\pi$
$263$	1014.31			0.237815			0.118907	+	0.992905i	$0.462061\pi$
$264$	1593.70			0.371537
$265$	−2000.61	+	963.443i	−0.463760	+	0.223335i
$266$	−362.430	+	1914.80i	−0.0835414	+	0.441367i
$267$	3643.59	+	1754.66i	0.835146	+	0.402185i
$268$	458.875	+	220.983i	0.104591	+	0.0503681i
$269$	1481.01	+	6488.74i	0.335684	+	1.47073i	0.807940	+	0.589265i	$0.200583\pi$
$269$	1481.01	+	6488.74i	0.335684	+	1.47073i	−0.472256	+	0.881462i	$0.656560\pi$
$270$	−904.915	−	3964.69i	−0.203968	−	0.893643i
$271$	−3803.01	−	1831.43i	−0.852459	−	0.410523i	−0.0439691	−	0.999033i	$-0.514000\pi$
$271$	−3803.01	−	1831.43i	−0.852459	−	0.410523i	−0.808490	+	0.588510i	$0.799715\pi$
$272$	1108.70	+	533.923i	0.247150	+	0.119021i
$273$	−3527.53	−	4099.62i	−0.782037	−	0.908865i
$274$	−1474.32	+	709.994i	−0.325061	+	0.156541i
$275$	3064.91			0.672076
$276$	4308.20			0.939576
$277$	1773.33	−	853.989i	0.384653	−	0.185239i	−0.231556	−	0.972821i	$-0.574382\pi$
$277$	1773.33	−	853.989i	0.384653	−	0.185239i	0.616209	+	0.787582i	$0.288667\pi$
$278$	−1642.03	−	2059.04i	−0.354253	−	0.444219i
$279$	−57.0725	−	250.051i	−0.0122468	−	0.0536565i
$280$	−547.072	−	2042.24i	−0.116764	−	0.435883i
$281$	1144.87	−	5016.02i	0.243051	−	1.06488i	−0.695171	−	0.718844i	$-0.744671\pi$
$281$	1144.87	−	5016.02i	0.243051	−	1.06488i	0.938222	−	0.346033i	$-0.112471\pi$
$282$	−1185.50	+	570.909i	−0.250340	+	0.120557i
$283$	31.1725	−	136.575i	0.00654774	−	0.0286875i	−0.971549	−	0.236841i	$-0.923888\pi$
$283$	31.1725	−	136.575i	0.00654774	−	0.0286875i	0.978096	+	0.208153i	$0.0667452\pi$
$284$	−436.474	−	547.321i	−0.0911970	−	0.114357i
$285$	−853.796	−	3740.73i	−0.177454	−	0.777479i
$286$	2777.43	−	3482.79i	0.574241	−	0.720075i
$287$	153.347	−	207.749i	0.0315393	−	0.0427283i
$288$	−17.5828	−	22.0482i	−0.00359750	−	0.00451112i
$289$	624.865	−	783.556i	0.127186	−	0.159486i
$290$	−5046.37	−	2430.21i	−1.02184	−	0.492092i
$291$	−378.393	+	474.490i	−0.0762262	+	0.0955846i
$292$	565.361	−	2477.01i	0.113306	−	0.496425i
$293$	8837.88			1.76217			0.881083	−	0.472962i	$-0.156815\pi$
$293$	8837.88			1.76217			0.881083	+	0.472962i	$0.156815\pi$
$294$	2384.28	+	2570.33i	0.472973	+	0.509879i
$295$	−1402.24			−0.276751
$296$	433.899	−	1901.04i	0.0852023	−	0.373295i
$297$	−3463.06	+	4342.53i	−0.676589	+	0.848415i
$298$	4874.45	+	2347.41i	0.947548	+	0.456315i
$299$	7508.12	−	9414.88i	1.45219	−	1.82099i
$300$	1002.17	+	1256.68i	0.192868	+	0.241848i
$301$	−5666.73	−	6585.74i	−1.08513	−	1.26112i
$302$	−3613.93	+	4531.73i	−0.688604	+	0.863482i
$303$	599.747	+	2627.66i	0.113711	+	0.498203i
$304$	−524.853	−	658.145i	−0.0990211	−	0.124169i
$305$	1234.63	−	5409.26i	0.231786	−	1.01552i
$306$	−122.133	+	58.8163i	−0.0228167	+	0.0109879i
$307$	−851.704	+	3731.56i	−0.158337	+	0.693718i	0.831970	+	0.554820i	$0.187213\pi$
$307$	−851.704	+	3731.56i	−0.158337	+	0.693718i	−0.990307	+	0.138897i	$0.955644\pi$
$308$	−1714.91	+	2323.30i	−0.317261	+	0.429814i
$309$	749.116	+	3282.09i	0.137915	+	0.604245i
$310$	5178.75	+	6493.94i	0.948816	+	1.18978i
$311$	2413.72	−	1162.38i	0.440094	−	0.211938i	−0.200697	−	0.979653i	$-0.564321\pi$
$311$	2413.72	−	1162.38i	0.440094	−	0.211938i	0.640791	+	0.767715i	$0.278606\pi$
$312$	2336.19			0.423913
$313$	−2584.49			−0.466722			−0.233361	−	0.972390i	$-0.574972\pi$
$313$	−2584.49			−0.466722			−0.233361	+	0.972390i	$0.574972\pi$
$314$	3292.32	−	1585.50i	0.591708	−	0.284951i
$315$	213.464	+	93.1502i	0.0381820	+	0.0166617i
$316$	−410.095	−	197.491i	−0.0730052	−	0.0351574i
$317$	176.268	+	84.8863i	0.0312309	+	0.0150400i	0.449434	−	0.893314i	$-0.351626\pi$
$317$	176.268	+	84.8863i	0.0312309	+	0.0150400i	−0.418203	+	0.908354i	$0.637340\pi$
$318$	353.925	+	1550.65i	0.0624123	+	0.273446i
$319$	1702.29	+	7458.22i	0.298777	+	1.30903i
$320$	822.827	+	396.252i	0.143742	+	0.0692224i
$321$	7428.64	+	3577.44i	1.29167	+	0.622036i
$322$	−4635.86	+	6280.50i	−0.802318	+	1.08695i
$323$	−3645.72	+	1755.69i	−0.628029	+	0.302443i
$324$	−2817.72			−0.483147
$325$	4492.81			0.766820
$326$	−5040.94	+	2427.59i	−0.856417	+	0.412429i
$327$	4975.18	+	6238.68i	0.841371	+	1.05505i
$328$	24.8196	+	108.742i	0.00417815	+	0.0183057i
$329$	443.397	−	2342.56i	0.0743017	−	0.392552i
$330$	1265.14	−	5542.92i	0.211041	−	0.924629i
$331$	−5773.44	+	2780.34i	−0.958721	+	0.461696i	−0.846736	−	0.532014i	$-0.821435\pi$
$331$	−5773.44	+	2780.34i	−0.958721	+	0.461696i	−0.111986	+	0.993710i	$0.535721\pi$
$332$	−1006.77	+	4410.96i	−0.166427	+	0.729165i
$333$	133.927	+	167.939i	0.0220394	+	0.0276366i
$334$	−652.461	−	2858.62i	−0.106889	−	0.468313i
$335$	1132.85	−	1420.55i	0.184759	−	0.231680i
$336$	−1513.35	+	56.5254i	−0.245715	+	0.00917772i
$337$	−2894.40	−	3629.46i	−0.467858	−	0.586675i	0.490787	−	0.871279i	$-0.336709\pi$
$337$	−2894.40	−	3629.46i	−0.467858	−	0.586675i	−0.958645	+	0.284604i	$0.908138\pi$
$338$	1331.79	−	1670.01i	0.214319	−	0.268747i
$339$	−2121.69	−	1021.75i	−0.339924	−	0.163699i
$340$	2737.11	−	3432.23i	0.436591	−	0.547467i
$341$	2524.41	−	11060.1i	0.400892	−	1.75642i
$342$	92.7317			0.0146619
$343$	−6312.65	+	709.996i	−0.993734	+	0.111767i
$344$	3752.92			0.588210
$345$	3419.99	−	14984.0i	0.533699	−	2.33829i
$346$	−2776.23	+	3481.28i	−0.431361	+	0.540910i
$347$	−1793.27	−	863.593i	−0.277429	−	0.133603i	0.289996	−	0.957028i	$-0.406346\pi$
$347$	−1793.27	−	863.593i	−0.277429	−	0.133603i	−0.567425	+	0.823425i	$0.692060\pi$
$348$	−2501.42	+	3136.68i	−0.385316	+	0.483172i
$349$	−4778.23	−	5991.71i	−0.732873	−	0.918994i	0.266116	−	0.963941i	$-0.414260\pi$
$349$	−4778.23	−	5991.71i	−0.732873	−	0.918994i	−0.998989	+	0.0449471i	$0.985688\pi$
$350$	−2910.38	+	108.706i	−0.444476	+	0.0166017i
$351$	−5076.45	+	6365.67i	−0.771969	+	0.968018i
$352$	−277.564	−	1216.09i	−0.0420289	−	0.184141i
$353$	3082.61	+	3865.47i	0.464790	+	0.582828i	0.957887	−	0.287147i	$-0.0927067\pi$
$353$	3082.61	+	3865.47i	0.464790	+	0.582828i	−0.493097	+	0.869974i	$0.664135\pi$
$354$	−223.502	+	979.224i	−0.0335564	+	0.147020i
$355$	−2250.07	+	1083.58i	−0.336399	+	0.162001i
$356$	704.327	−	3085.86i	0.104858	−	0.459411i
$357$	−1353.84	+	7152.61i	−0.200708	+	1.06038i
$358$	821.279	+	3598.26i	0.121246	+	0.531212i
$359$	1281.31	+	1606.71i	0.188371	+	0.236209i	0.867045	−	0.498230i	$-0.166017\pi$
$359$	1281.31	+	1606.71i	0.188371	+	0.236209i	−0.678674	+	0.734440i	$0.737445\pi$
$360$	−90.6417	+	43.6507i	−0.0132701	+	0.00639054i
$361$	−4090.93			−0.596432
$362$	1431.71			0.207870
$363$	−867.670	+	417.848i	−0.125457	+	0.0604169i
$364$	−2513.87	+	3405.71i	−0.361986	+	0.490405i
$365$	−8166.27	−	3932.67i	−1.17107	−	0.563960i
$366$	−3580.66	−	1724.35i	−0.511377	−	0.246266i
$367$	1930.68	+	8458.88i	0.274607	+	1.20313i	0.904508	+	0.426457i	$0.140239\pi$
$367$	1930.68	+	8458.88i	0.274607	+	1.20313i	−0.629900	+	0.776676i	$0.716904\pi$
$368$	−750.326	−	3287.39i	−0.106287	−	0.465672i
$369$	−11.0701	−	5.33110i	−0.00156176	−	0.000752103i
$370$	−6267.38	−	3018.21i	−0.880610	−	0.424079i
$371$	−2641.38	−	1152.63i	−0.369632	−	0.161298i
$372$	5360.34	−	2581.40i	0.747099	−	0.359784i
$373$	4166.39			0.578357			0.289179	−	0.957275i	$-0.406618\pi$
$373$	4166.39			0.578357			0.289179	+	0.957275i	$0.406618\pi$
$374$	−5995.93			−0.828990
$375$	−3046.93	+	1467.32i	−0.419580	+	0.202059i
$376$	642.106	+	805.175i	0.0880694	+	0.110435i
$377$	2495.37	+	10932.9i	0.340896	+	1.49356i
$378$	3134.44	−	4246.42i	0.426503	−	0.577811i
$379$	1640.60	−	7187.93i	0.222353	−	0.974193i	−0.733348	−	0.679854i	$-0.762043\pi$
$379$	1640.60	−	7187.93i	0.222353	−	0.974193i	0.955701	−	0.294339i	$-0.0950995\pi$
$380$	−2705.68	+	1302.99i	−0.365260	+	0.175900i
$381$	24.9040	−	109.112i	0.00334875	−	0.0146718i
$382$	1750.13	+	2194.59i	0.234409	+	0.293940i
$383$	2066.73	+	9054.93i	0.275731	+	1.20806i	0.903133	+	0.429361i	$0.141261\pi$
$383$	2066.73	+	9054.93i	0.275731	+	1.20806i	−0.627402	+	0.778695i	$0.715882\pi$
$384$	407.864	−	511.445i	0.0542024	−	0.0679677i
$385$	6719.12	+	7808.81i	0.889450	+	1.03370i
$386$	−4851.58	−	6083.69i	−0.639738	−	0.802206i
$387$	−257.762	+	323.223i	−0.0338573	+	0.0424557i
$388$	427.965	+	206.097i	0.0559964	+	0.0269665i
$389$	1731.89	−	2171.72i	0.225734	−	0.283061i	−0.656048	−	0.754719i	$-0.727773\pi$
$389$	1731.89	−	2171.72i	0.225734	−	0.283061i	0.881781	+	0.471658i	$0.156344\pi$
$390$	1854.55	−	8125.30i	0.240791	−	1.05498i
$391$	−16208.6			−2.09642
$392$	1546.05	−	2266.99i	0.199202	−	0.292093i
$393$	−11069.5			−1.42082
$394$	581.061	−	2545.79i	0.0742980	−	0.325521i
$395$	−1012.42	+	1269.54i	−0.128964	+	0.161715i
$396$	123.800	+	59.6190i	0.0157101	+	0.00756557i
$397$	−7959.05	+	9980.33i	−1.00618	+	1.26171i	−0.0412638	+	0.999148i	$0.513138\pi$
$397$	−7959.05	+	9980.33i	−1.00618	+	1.26171i	−0.964915	+	0.262561i	$0.915433\pi$
$398$	135.463	+	169.865i	0.0170606	+	0.0213934i
$399$	2957.37	−	4006.54i	0.371062	−	0.502701i
$400$	784.378	−	983.579i	0.0980473	−	0.122947i
$401$	1467.44	+	6429.26i	0.182744	+	0.800654i	0.980317	+	0.197431i	$0.0632598\pi$
$401$	1467.44	+	6429.26i	0.182744	+	0.800654i	−0.797573	+	0.603223i	$0.793883\pi$
$402$	−811.447	−	1017.52i	−0.100675	−	0.126242i
$403$	3700.50	−	16212.9i	0.457407	−	2.00403i
$404$	1900.60	−	915.282i	0.234056	−	0.112715i
$405$	−2236.80	+	9800.05i	−0.274438	+	1.20239i
$406$	−1880.99	−	7021.82i	−0.229931	−	0.858342i
$407$	2114.17	+	9262.79i	0.257483	+	1.12811i
$408$	−1960.56	−	2458.47i	−0.237898	−	0.298314i
$409$	−5685.08	+	2737.79i	−0.687308	+	0.330990i	−0.744736	−	0.667359i	$-0.767425\pi$
$409$	−5685.08	+	2737.79i	−0.687308	+	0.330990i	0.0574274	+	0.998350i	$0.481710\pi$
$410$	397.908			0.0479299
$411$	4181.46			0.501839
$412$	2373.95	−	1143.23i	0.283874	−	0.136707i
$413$	−1187.02	−	1379.52i	−0.141427	−	0.164363i
$414$	334.664	+	161.166i	0.0397291	+	0.0191325i
$415$	14542.2	+	7003.13i	1.72011	+	0.828362i
$416$	−406.877	−	1782.64i	−0.0479538	−	0.210099i
$417$	1497.50	+	6560.99i	0.175859	+	0.770487i
$418$	3695.47	+	1779.65i	0.432420	+	0.208242i
$419$	8090.86	+	3896.35i	0.943352	+	0.454294i	0.841351	−	0.540490i	$-0.181761\pi$
$419$	8090.86	+	3896.35i	0.943352	+	0.454294i	0.102002	+	0.994784i	$0.467475\pi$
$420$	−1004.75	+	5308.33i	−0.116731	+	0.616715i
$421$	−5428.43	+	2614.19i	−0.628422	+	0.302632i	−0.720854	−	0.693087i	$-0.756250\pi$
$421$	−5428.43	+	2614.19i	−0.628422	+	0.302632i	0.0924322	+	0.995719i	$0.470536\pi$
$422$	10945.5			1.26260
$423$	−113.448			−0.0130403
$424$	1121.59	−	540.129i	0.128465	−	0.0618655i
$425$	−3770.43	−	4727.96i	−0.430335	−	0.539623i
$426$	398.057	+	1744.00i	0.0452721	+	0.198350i
$427$	6366.76	−	3364.39i	0.721567	−	0.381298i
$428$	1436.00	−	6291.53i	0.162177	−	0.710543i
$429$	−10255.8	+	4938.93i	−1.15421	+	0.555837i
$430$	2979.20	−	13052.7i	0.334115	−	1.46386i
$431$	−9026.73	−	11319.2i	−1.00882	−	1.26502i	−0.963965	−	0.266029i	$-0.914288\pi$
$431$	−9026.73	−	11319.2i	−1.00882	−	1.26502i	−0.0448564	−	0.998993i	$-0.514283\pi$
$432$	507.317	+	2222.70i	0.0565007	+	0.247546i
$433$	536.946	−	673.309i	0.0595935	−	0.0747278i	−0.751141	−	0.660141i	$-0.770496\pi$
$433$	536.946	−	673.309i	0.0595935	−	0.0747278i	0.810735	+	0.585413i	$0.199068\pi$
$434$	−2004.85	+	10592.1i	−0.221742	+	1.17151i
$435$	8923.70	+	11190.0i	0.983583	+	1.23337i
$436$	3893.97	−	4882.89i	0.427724	−	0.536349i
$437$	9989.82	+	4810.85i	1.09354	+	0.526622i
$438$	−4047.91	+	5075.92i	−0.441590	+	0.553737i
$439$	752.163	−	3295.44i	0.0817740	−	0.358275i	−0.917442	−	0.397870i	$-0.869750\pi$
$439$	752.163	−	3295.44i	0.0817740	−	0.358275i	0.999216	+	0.0395946i	$0.0126067\pi$
$440$	−4449.90			−0.482138
$441$	89.0592	+	288.859i	0.00961659	+	0.0311909i
$442$	−8789.36			−0.945854
$443$	−489.030	+	2142.58i	−0.0524481	+	0.229790i	−0.994358	−	0.106075i	$-0.966172\pi$
$443$	−489.030	+	2142.58i	−0.0524481	+	0.229790i	0.941910	+	0.335865i	$0.109029\pi$
$444$	−3106.66	+	3895.62i	−0.332062	+	0.416392i
$445$	−10173.5	−	4899.32i	−1.08376	−	0.521910i
$446$	−7513.34	+	9421.43i	−0.797684	+	1.00026i
$447$	−8619.68	−	10808.7i	−0.912074	−	1.14370i
$448$	306.702	+	1144.93i	0.0323444	+	0.120743i
$449$	10195.5	−	12784.7i	1.07161	−	1.34376i	0.136007	−	0.990708i	$-0.456573\pi$
$449$	10195.5	−	12784.7i	1.07161	−	1.34376i	0.935604	−	0.353050i	$-0.114855\pi$
$450$	30.8380	+	135.110i	0.00323049	+	0.0141537i
$451$	−338.848	−	424.902i	−0.0353785	−	0.0443633i
$452$	−410.134	+	1796.92i	−0.0426794	+	0.186991i
$453$	13344.6	−	6426.43i	1.38407	−	0.666534i
$454$	322.676	−	1413.74i	0.0333567	−	0.146145i
$455$	9849.49	+	11446.8i	1.01484	+	1.17942i
$456$	478.658	+	2097.14i	0.0491562	+	0.215367i
$457$	−2233.94	−	2801.28i	−0.228664	−	0.286736i	0.654242	−	0.756285i	$-0.272988\pi$
$457$	−2233.94	−	2801.28i	−0.228664	−	0.286736i	−0.882906	+	0.469550i	$0.844416\pi$
$458$	2366.44	−	1139.62i	0.241433	−	0.116268i
$459$	10959.1			1.11443
$460$	−12029.2			−1.21927
$461$	16273.8	−	7837.04i	1.64413	−	0.791773i	0.644503	−	0.764602i	$-0.277064\pi$
$461$	16273.8	−	7837.04i	1.64413	−	0.791773i	0.999631	−	0.0271709i	$-0.00864984\pi$
$462$	6524.07	−	3447.52i	0.656985	−	0.347171i
$463$	9383.81	+	4519.01i	0.941907	+	0.453598i	0.840841	−	0.541281i	$-0.182061\pi$
$463$	9383.81	+	4519.01i	0.941907	+	0.453598i	0.101065	+	0.994880i	$0.467775\pi$
$464$	2829.12	+	1362.43i	0.283057	+	0.136313i
$465$	−4722.94	−	20692.5i	−0.471013	−	2.06364i
$466$	1722.27	+	7545.74i	0.171207	+	0.750107i
$467$	10478.8	+	5046.34i	1.03834	+	0.500036i	0.873775	−	0.486331i	$-0.161665\pi$
$467$	10478.8	+	5046.34i	1.03834	+	0.500036i	0.164561	+	0.986367i	$0.447379\pi$
$468$	181.477	+	87.3948i	0.0179247	+	0.00863210i
$469$	2356.51	−	88.0182i	0.232012	−	0.00866589i
$470$	3310.13	−	1594.08i	0.324862	−	0.156445i
$471$	−9337.66			−0.913496
$472$	786.129			0.0766621
$473$	−16475.2	+	7934.05i	−1.60155	+	0.771264i
$474$	725.187	+	909.356i	0.0702720	+	0.0881183i
$475$	920.525	+	4033.08i	0.0889191	+	0.389580i
$476$	5693.63	−	212.663i	0.548250	−	0.0204777i
$477$	−30.5151	+	133.695i	−0.00292912	+	0.0128333i
$478$	−4315.74	+	2078.35i	−0.412965	+	0.198874i
$479$	1827.94	−	8008.75i	0.174365	−	0.763944i	−0.809802	−	0.586703i	$-0.800426\pi$
$479$	1827.94	−	8008.75i	0.174365	−	0.763944i	0.984167	−	0.177241i	$-0.0567172\pi$
$480$	−1455.04	−	1824.56i	−0.138360	−	0.173499i
$481$	3099.14	+	13578.2i	0.293781	+	1.28714i
$482$	5751.28	−	7211.88i	0.543493	−	0.681519i
$483$	17636.3	−	9319.54i	1.66144	−	0.877959i
$484$	469.957	+	589.307i	0.0441357	+	0.0553444i
$485$	1056.54	−	1324.86i	0.0989176	−	0.124039i
$486$	−445.399	−	214.493i	−0.0415715	−	0.0200198i
$487$	−8043.29	+	10086.0i	−0.748411	+	0.938478i	−0.999566	−	0.0294690i	$-0.990618\pi$
$487$	−8043.29	+	10086.0i	−0.748411	+	0.938478i	0.251154	+	0.967947i	$0.419190\pi$
$488$	−692.162	+	3032.56i	−0.0642064	+	0.281307i
$489$	14297.1			1.32216
$490$	−6657.33	−	7176.80i	−0.613770	−	0.661663i
$491$	−7670.78			−0.705046			−0.352523	−	0.935803i	$-0.614676\pi$
$491$	−7670.78			−0.705046			−0.352523	+	0.935803i	$0.614676\pi$
$492$	63.4221	−	277.870i	0.00581156	−	0.0254621i
$493$	9410.99	−	11801.0i	0.859736	−	1.07807i
$494$	5417.15	+	2608.76i	0.493379	+	0.237599i
$495$	305.632	−	383.251i	0.0277518	−	0.0347997i
$496$	−2903.33	−	3640.66i	−0.262829	−	0.329577i
$497$	−2970.74	−	1296.36i	−0.268121	−	0.117001i
$498$	7208.35	−	9038.99i	0.648622	−	0.813347i
$499$	−4619.19	−	20238.0i	−0.414395	−	1.81558i	−0.562722	−	0.826646i	$-0.690246\pi$
$499$	−4619.19	−	20238.0i	−0.414395	−	1.81558i	0.148327	−	0.988938i	$-0.452611\pi$
$500$	1650.31	+	2069.42i	0.147608	+	0.185095i
$501$	−1667.25	+	7304.69i	−0.148677	+	0.651397i
$502$	6467.38	−	3114.52i	0.575006	−	0.276908i
$503$	−1320.88	+	5787.14i	−0.117088	+	0.512994i	0.882038	+	0.471179i	$0.156171\pi$
$503$	−1320.88	+	5787.14i	−0.117088	+	0.512994i	−0.999125	+	0.0418154i	$0.986686\pi$
$504$	−119.673	−	52.2222i	−0.0105767	−	0.00461540i
$505$	−1674.60	−	7336.90i	−0.147562	−	0.646510i
$506$	10243.8	+	12845.3i	0.899983	+	1.12854i
$507$	−4917.70	+	2368.24i	−0.430774	+	0.207450i
$508$	−87.5957			−0.00765045
$509$	−11007.7			−0.958559			−0.479279	−	0.877662i	$-0.659102\pi$
$509$	−11007.7			−0.958559			−0.479279	+	0.877662i	$0.659102\pi$
$510$	−10106.9	+	4867.24i	−0.877534	+	0.422598i
$511$	−3043.91	−	11363.0i	−0.263512	−	0.983700i
$512$	−461.296	−	222.148i	−0.0398176	−	0.0191751i
$513$	−6754.41	−	3252.75i	−0.581314	−	0.279946i
$514$	981.848	+	4301.76i	0.0842558	+	0.369149i
$515$	−2091.66	−	9164.17i	−0.178970	−	0.784120i
$516$	−8640.24	−	4160.92i	−0.737142	−	0.354989i
$517$	−4521.04	−	2177.22i	−0.384594	−	0.185211i
$518$	−2336.11	−	8720.80i	−0.198152	−	0.739710i
$519$	10251.4	−	4936.80i	0.867024	−	0.417537i
$520$	−6523.05			−0.550105
$521$	822.576			0.0691703			0.0345851	−	0.999402i	$-0.488989\pi$
$521$	822.576			0.0691703			0.0345851	+	0.999402i	$0.488989\pi$
$522$	−311.652	+	150.084i	−0.0261315	+	0.0125843i
$523$	−10782.4	−	13520.7i	−0.901494	−	1.13044i	−0.990921	−	0.134445i	$-0.957075\pi$
$523$	−10782.4	−	13520.7i	−0.901494	−	1.13044i	0.0894269	−	0.995993i	$-0.471496\pi$
$524$	1927.89	+	8446.66i	0.160726	+	0.704187i
$525$	6821.01	+	2976.51i	0.567035	+	0.247439i
$526$	−451.412	+	1977.77i	−0.0374192	+	0.163944i
$527$	−20167.0	+	9711.92i	−1.66696	+	0.802766i
$528$	−709.265	+	3107.49i	−0.0584598	+	0.256129i
$529$	20105.6	+	25211.6i	1.65247	+	2.07213i
$530$	−988.220	−	4329.67i	−0.0809915	−	0.354847i
$531$	−53.9937	+	67.7059i	−0.00441266	+	0.00553331i
$532$	−3572.28	−	1558.85i	−0.291124	−	0.127039i
$533$	−496.713	−	622.859i	−0.0403659	−	0.0506173i
$534$	−5042.89	+	6323.58i	−0.408665	+	0.512449i
$535$	−20742.1	−	9988.85i	−1.67618	−	0.807207i
$536$	−635.103	+	796.394i	−0.0511796	+	0.0641772i
$537$	2098.63	−	9194.72i	0.168646	−	0.738885i
$538$	−13311.2			−1.06671
$539$	−1994.46	+	13220.5i	−0.159383	+	1.05649i
$540$	8133.31			0.648151
$541$	660.582	−	2894.20i	0.0524966	−	0.230003i	−0.941873	−	0.335969i	$-0.890936\pi$
$541$	660.582	−	2894.20i	0.0524966	−	0.230003i	0.994370	+	0.105966i	$0.0337935\pi$
$542$	5263.53	−	6600.25i	0.417136	−	0.523072i
$543$	−3296.18	−	1587.36i	−0.260502	−	0.125451i
$544$	−1534.49	+	1924.19i	−0.120939	+	0.151653i
$545$	−13891.6	−	17419.5i	−1.09183	−	1.36912i
$546$	9563.56	−	5053.68i	0.749602	−	0.396113i
$547$	−242.342	+	303.887i	−0.0189430	+	0.0237537i	−0.791213	−	0.611541i	$-0.790550\pi$
$547$	−242.342	+	303.887i	−0.0189430	+	0.0237537i	0.772270	+	0.635295i	$0.219121\pi$
$548$	−728.253	−	3190.69i	−0.0567690	−	0.248721i
$549$	−213.642	−	267.898i	−0.0166084	−	0.0208263i
$550$	−1364.01	+	5976.13i	−0.105749	+	0.463315i
$551$	−9302.93	+	4480.05i	−0.719270	+	0.346382i
$552$	−1917.33	+	8400.36i	−0.147839	+	0.647723i
$553$	−2106.00	+	78.6615i	−0.161946	+	0.00604888i
$554$	875.951	+	3837.79i	0.0671762	+	0.294318i
$555$	11082.9	+	13897.5i	0.847642	+	1.06291i
$556$	4745.60	−	2285.36i	0.361975	−	0.174318i
$557$	20929.9			1.59215			0.796075	−	0.605198i	$-0.206906\pi$
$557$	20929.9			1.59215			0.796075	+	0.605198i	$0.206906\pi$
$558$	512.963			0.0389166
$559$	−24150.8	+	11630.4i	−1.82732	+	0.879990i
$560$	4225.55	−	157.829i	0.318861	−	0.0119098i
$561$	13804.2	+	6647.77i	1.03889	+	0.500301i
$562$	9270.99	+	4464.67i	0.695860	+	0.335108i
$563$	−2681.00	−	11746.2i	−0.200694	−	0.879298i	−0.970516	−	0.241039i	$-0.922512\pi$
$563$	−2681.00	−	11746.2i	−0.200694	−	0.879298i	0.769822	−	0.638259i	$-0.220345\pi$
$564$	−585.591	−	2565.64i	−0.0437195	−	0.191548i
$565$	5924.12	+	2852.90i	0.441114	+	0.212429i
$566$	252.429	+	121.564i	0.0187463	+	0.00902774i
$567$	−11534.8	+	6095.32i	−0.854346	+	0.451463i
$568$	1261.45	−	607.480i	0.0931850	−	0.0448755i
$569$	−24950.9			−1.83831			−0.919153	−	0.393900i	$-0.871126\pi$
$569$	−24950.9			−1.83831			−0.919153	+	0.393900i	$0.871126\pi$
$570$	7673.85			0.563899
$571$	18125.1	−	8728.59i	1.32839	−	0.639720i	0.371033	−	0.928620i	$-0.379004\pi$
$571$	18125.1	−	8728.59i	1.32839	−	0.639720i	0.957359	+	0.288900i	$0.0932894\pi$
$572$	5554.86	+	6965.58i	0.406050	+	0.509170i
$573$	−1596.09	−	6992.92i	−0.116366	−	0.509832i
$574$	336.834	+	391.461i	0.0244934	+	0.0284656i
$575$	−3687.28	+	16155.0i	−0.267427	+	1.17167i
$576$	50.8159	−	24.4716i	0.00367592	−	0.00177023i
$577$	1251.88	−	5484.84i	0.0903230	−	0.395731i	−0.909477	−	0.415755i	$-0.863517\pi$
$577$	1251.88	−	5484.84i	0.0903230	−	0.395731i	0.999799	+	0.0200245i	$0.00637441\pi$
$578$	1249.73	+	1567.11i	0.0899341	+	0.112774i
$579$	4424.57	+	19385.3i	0.317580	+	1.39141i
$580$	6984.40	−	8758.16i	0.500019	−	0.627005i
$581$	5420.47	+	20234.8i	0.387055	+	1.44489i
$582$	−756.787	−	948.981i	−0.0539000	−	0.0675885i
$583$	−3781.86	+	4742.30i	−0.268659	+	0.336888i
$584$	4578.20	+	2204.75i	0.324396	+	0.156221i
$585$	448.023	−	561.803i	0.0316640	−	0.0397054i
$586$	−3933.23	+	17232.6i	−0.277270	+	1.21480i
$587$	3829.01			0.269234			0.134617	−	0.990898i	$-0.457020\pi$
$587$	3829.01			0.269234			0.134617	+	0.990898i	$0.457020\pi$
$588$	−6072.87	+	3505.10i	−0.425920	+	0.245830i
$589$	15312.1			1.07118
$590$	624.055	−	2734.17i	0.0435457	−	0.190786i
$591$	−4160.32	+	5216.87i	−0.289564	+	0.363102i
$592$	3513.64	+	1692.08i	0.243936	+	0.117473i
$593$	−468.370	+	587.318i	−0.0324345	+	0.0406716i	−0.797784	−	0.602943i	$-0.793995\pi$
$593$	−468.370	+	587.318i	−0.0324345	+	0.0406716i	0.765350	+	0.643615i	$0.222566\pi$
$594$	−6926.11	−	8685.07i	−0.478420	−	0.599920i
$595$	3780.15	−	19971.3i	0.260455	−	1.37604i
$596$	−6746.45	+	8459.78i	−0.463667	+	0.581419i
$597$	−123.540	−	541.264i	−0.00846927	−	0.0371063i
$598$	15016.2	+	18829.8i	1.02686	+	1.28764i
$599$	−1904.51	+	8344.20i	−0.129910	+	0.569173i	0.867512	+	0.497416i	$0.165718\pi$
$599$	−1904.51	+	8344.20i	−0.129910	+	0.569173i	−0.997422	+	0.0717570i	$0.977139\pi$
$600$	−2896.36	+	1394.81i	−0.197072	+	0.0949049i
$601$	862.111	−	3777.16i	0.0585129	−	0.256362i	−0.937208	−	0.348770i	$-0.886599\pi$
$601$	862.111	−	3777.16i	0.0585129	−	0.256362i	0.995721	+	0.0924084i	$0.0294565\pi$
$602$	15363.2	−	8118.38i	1.04013	−	0.549635i
$603$	−24.9692	−	109.397i	−0.00168628	−	0.00738807i
$604$	−7227.86	−	9063.45i	−0.486916	−	0.610574i
$605$	2422.69	−	1166.70i	0.162804	−	0.0784021i
$606$	−5390.48			−0.361342
$607$	21712.6			1.45187			0.725935	−	0.687763i	$-0.241407\pi$
$607$	21712.6			1.45187			0.725935	+	0.687763i	$0.241407\pi$
$608$	1516.87	−	730.486i	0.101180	−	0.0487255i
$609$	−3454.64	+	18251.6i	−0.229867	+	1.21444i
$610$	9997.82	+	4814.70i	0.663607	+	0.319576i
$611$	−6627.34	−	3191.56i	−0.438811	−	0.211320i
$612$	−60.3289	−	264.318i	−0.00398472	−	0.0174582i
$613$	−2184.31	−	9570.10i	−0.143921	−	0.630559i	−0.994502	−	0.104715i	$-0.966607\pi$
$613$	−2184.31	−	9570.10i	−0.143921	−	0.630559i	0.850581	−	0.525844i	$-0.176250\pi$
$614$	−6896.96	−	3321.40i	−0.453320	−	0.218307i
$615$	−916.090	−	441.166i	−0.0600656	−	0.0289260i
$616$	−3766.90	−	4377.80i	−0.246384	−	0.286342i
$617$	−26331.0	+	12680.3i	−1.71806	+	0.827376i	−0.728200	+	0.685365i	$0.759643\pi$
$617$	−26331.0	+	12680.3i	−1.71806	+	0.827376i	−0.989865	+	0.142011i	$0.954643\pi$
$618$	−6732.99			−0.438254
$619$	7061.66			0.458533			0.229267	−	0.973364i	$-0.426367\pi$
$619$	7061.66			0.458533			0.229267	+	0.973364i	$0.426367\pi$
$620$	−14967.0	+	7207.73i	−0.969499	+	0.466886i
$621$	−18723.1	−	23478.0i	−1.20987	−	1.51713i
$622$	1192.28	+	5223.71i	0.0768585	+	0.336739i
$623$	−3792.10	−	14156.1i	−0.243864	−	0.910354i
$624$	−1039.70	+	4555.24i	−0.0667010	+	0.292236i
$625$	17362.7	−	8361.44i	1.11121	−	0.535132i
$626$	1150.21	−	5039.39i	0.0734369	−	0.321748i
$627$	−6534.85	−	8194.44i	−0.416231	−	0.521937i
$628$	1626.27	+	7125.16i	0.103336	+	0.452746i
$629$	11688.1	−	14656.4i	0.740911	−	0.929073i
$630$	−276.630	+	374.768i	−0.0174940	+	0.0237002i
$631$	430.352	+	539.644i	0.0271506	+	0.0340458i	0.795221	−	0.606319i	$-0.207355\pi$
$631$	430.352	+	539.644i	0.0271506	+	0.0340458i	−0.768071	+	0.640365i	$0.778783\pi$
$632$	567.589	−	711.734i	0.0357239	−	0.0447963i
$633$	−25199.5	−	12135.4i	−1.58229	−	0.761991i
$634$	−243.963	+	305.920i	−0.0152823	+	0.0191634i
$635$	−69.5364	+	304.659i	−0.00434562	+	0.0190394i
$636$	−3181.05			−0.198328
$637$	−2923.66	+	19379.8i	−0.181852	+	1.20543i
$638$	−15300.0			−0.949427
$639$	−34.3201	+	150.366i	−0.00212470	+	0.00930892i
$640$	−1138.83	+	1428.04i	−0.0703377	+	0.0882006i
$641$	−11945.1	−	5752.47i	−0.736043	−	0.354460i	0.0280145	−	0.999608i	$-0.491082\pi$
$641$	−11945.1	−	5752.47i	−0.736043	−	0.354460i	−0.764058	+	0.645148i	$0.776796\pi$
$642$	−10281.6	+	12892.7i	−0.632057	+	0.792575i
$643$	1966.43	+	2465.82i	0.120604	+	0.151233i	0.838468	−	0.544951i	$-0.183452\pi$
$643$	1966.43	+	2465.82i	0.120604	+	0.151233i	−0.717864	+	0.696183i	$0.754880\pi$
$644$	−10182.9	−	11834.3i	−0.623079	−	0.724128i
$645$	−21330.6	+	26747.8i	−1.30216	+	1.63286i
$646$	−1800.84	−	7889.98i	−0.109680	−	0.480538i
$647$	−11491.8	−	14410.3i	−0.698285	−	0.875621i	0.298609	−	0.954375i	$-0.403477\pi$
$647$	−11491.8	−	14410.3i	−0.698285	−	0.875621i	−0.996894	+	0.0787542i	$0.974906\pi$
$648$	1254.00	−	5494.14i	0.0760214	−	0.333071i
$649$	−3451.08	+	1661.95i	−0.208731	+	0.100520i
$650$	−1999.49	+	8760.34i	−0.120656	+	0.528629i
$651$	16359.3	−	22162.9i	0.984900	−	1.33431i
$652$	−2490.02	−	10909.5i	−0.149566	−	0.655289i
$653$	20384.3	+	25561.1i	1.22159	+	1.53183i	0.767752	+	0.640747i	$0.221375\pi$
$653$	20384.3	+	25561.1i	1.22159	+	1.53183i	0.453841	+	0.891083i	$0.350053\pi$
$654$	−14378.7	+	6924.42i	−0.859712	+	0.414015i
$655$	30908.0			1.84378
$656$	−223.077			−0.0132769
$657$	−504.330	+	242.873i	−0.0299479	+	0.0144222i
$658$	4370.33	+	1907.10i	0.258926	+	0.112988i
$659$	−13762.5	−	6627.69i	−0.813524	−	0.391773i	−0.0196141	−	0.999808i	$-0.506244\pi$
$659$	−13762.5	−	6627.69i	−0.813524	−	0.391773i	−0.793910	+	0.608035i	$0.791958\pi$
$660$	10244.9	+	4933.66i	0.604213	+	0.290974i
$661$	1934.97	+	8477.64i	0.113860	+	0.498853i	0.999411	+	0.0343113i	$0.0109238\pi$
$661$	1934.97	+	8477.64i	0.113860	+	0.498853i	−0.885551	+	0.464542i	$0.846219\pi$
$662$	−2851.84	−	12494.7i	−0.167432	−	0.733567i
$663$	20235.5	+	9744.88i	1.18534	+	0.570830i
$664$	−8152.68	−	3926.12i	−0.476484	−	0.229463i
$665$	−8257.49	+	11187.0i	−0.481522	+	0.652348i
$666$	−387.059	+	186.398i	−0.0225199	+	0.0108450i
$667$	−41360.0			−2.40100
$668$	5864.26			0.339663
$669$	27743.4	−	13360.5i	1.60332	−	0.772119i
$670$	2265.70	+	2841.10i	0.130644	+	0.163823i
$671$	−3372.56	−	14776.1i	−0.194033	−	0.850114i
$672$	563.289	−	2975.98i	0.0323353	−	0.170835i
$673$	−4197.53	+	18390.6i	−0.240420	+	1.05335i	0.700216	+	0.713931i	$0.253087\pi$
$673$	−4197.53	+	18390.6i	−0.240420	+	1.05335i	−0.940636	+	0.339418i	$0.889770\pi$
$674$	8365.06	−	4028.40i	0.478057	−	0.230220i
$675$	2493.08	−	10922.9i	0.142161	−	0.622847i
$676$	2663.58	+	3340.02i	0.151546	+	0.190033i
$677$	−4990.73	−	21865.8i	−0.283322	−	1.24132i	−0.893504	−	0.449055i	$-0.851761\pi$
$677$	−4990.73	−	21865.8i	−0.283322	−	1.24132i	0.610182	−	0.792262i	$-0.291096\pi$
$678$	2936.50	−	3682.26i	0.166336	−	0.208579i
$679$	2197.77	−	82.0892i	0.124216	−	0.00463961i
$680$	5474.23	+	6864.46i	0.308716	+	0.387118i
$681$	−2310.32	+	2897.05i	−0.130002	+	0.163018i
$682$	20442.2	+	9844.45i	1.14776	+	0.552733i
$683$	18164.2	−	22777.2i	1.01762	−	1.27606i	0.0569467	−	0.998377i	$-0.481863\pi$
$683$	18164.2	−	22777.2i	1.01762	−	1.27606i	0.960674	−	0.277679i	$-0.0895651\pi$
$684$	−41.2695	+	180.814i	−0.00230699	+	0.0101076i
$685$	−11675.4			−0.651230
$686$	1425.00	−	12624.7i	0.0793103	−	0.702645i
$687$	−6711.69			−0.372732
$688$	−1670.21	+	7317.66i	−0.0925525	+	0.405499i
$689$	−5543.78	+	6951.68i	−0.306533	+	0.384380i
$690$	27694.5	+	13337.0i	1.52799	+	0.735840i
$691$	−13244.1	+	16607.6i	−0.729131	+	0.914302i	−0.998816	−	0.0486470i	$-0.984509\pi$
$691$	−13244.1	+	16607.6i	−0.729131	+	0.914302i	0.269685	+	0.962949i	$0.413080\pi$
$692$	−5552.46	−	6962.57i	−0.305019	−	0.382481i
$693$	635.763	−	23.7465i	0.0348494	−	0.00130166i
$694$	2481.96	−	3112.28i	0.135755	−	0.170231i
$695$	−4181.29	−	18319.4i	−0.228209	−	0.999850i
$696$	−5002.84	−	6273.36i	−0.272460	−	0.341654i
$697$	−238.611	+	1045.42i	−0.0129670	+	0.0568123i
$698$	13809.5	−	6650.30i	0.748849	−	0.360627i
$699$	4400.95	−	19281.8i	0.238139	−	1.04336i
$700$	1083.28	−	5723.21i	0.0584917	−	0.309024i
$701$	3702.14	+	16220.1i	0.199469	+	0.873932i	0.971253	+	0.238048i	$0.0765075\pi$
$701$	3702.14	+	16220.1i	0.199469	+	0.873932i	−0.771784	+	0.635885i	$0.780635\pi$
$702$	−10152.9	−	12731.3i	−0.545864	−	0.684492i
$703$	−11553.8	+	5564.04i	−0.619860	+	0.298509i
$704$	2494.72			0.133556
$705$	−9388.19			−0.501531
$706$	−8909.00	+	4290.35i	−0.474922	+	0.228710i
$707$	5800.46	−	7858.25i	0.308555	−	0.418020i
$708$	−1809.88	−	871.592i	−0.0960726	−	0.0462661i
$709$	19770.6	+	9521.02i	1.04725	+	0.504329i	0.876709	−	0.481021i	$-0.159734\pi$
$709$	19770.6	+	9521.02i	1.04725	+	0.504329i	0.170541	+	0.985351i	$0.445448\pi$
$710$	−1111.45	−	4869.56i	−0.0587490	−	0.257396i
$711$	22.3149	+	97.7680i	0.00117704	+	0.00515694i
$712$	5703.53	+	2746.67i	0.300209	+	0.144573i
$713$	55260.6	+	26612.1i	2.90256	+	1.39780i
$714$	−13344.0	−	5823.00i	−0.699423	−	0.305210i
$715$	28636.0	−	13790.4i	1.49780	−	0.721301i
$716$	−7381.59			−0.385283
$717$	12240.3			0.637548
$718$	−3703.10	+	1783.32i	−0.192477	+	0.0926920i
$719$	7859.58	+	9855.60i	0.407667	+	0.511199i	0.942704	−	0.333630i	$-0.108274\pi$
$719$	7859.58	+	9855.60i	0.407667	+	0.511199i	−0.535037	+	0.844829i	$0.679702\pi$
$720$	−44.7733	−	196.165i	−0.00231750	−	0.0101536i
$721$	7245.08	−	9815.37i	0.374231	−	0.506995i
$722$	1820.63	−	7976.72i	0.0938462	−	0.411167i
$723$	−21236.9	+	10227.2i	−1.09240	+	0.526074i
$724$	−637.171	+	2791.63i	−0.0327076	+	0.143301i
$725$	−9621.14	−	12064.5i	−0.492855	−	0.618021i
$726$	−428.594	−	1877.79i	−0.0219099	−	0.0959936i
$727$	16955.4	−	21261.3i	0.864979	−	1.08465i	−0.130667	−	0.991426i	$-0.541712\pi$
$727$	16955.4	−	21261.3i	0.864979	−	1.08465i	0.995645	−	0.0932226i	$-0.0297168\pi$
$728$	−5521.86	−	6417.37i	−0.281118	−	0.326708i
$729$	12646.1	+	15857.8i	0.642490	+	0.805657i
$730$	11302.5	−	14172.8i	0.573045	−	0.718576i
$731$	32506.8	+	15654.5i	1.64474	+	0.792067i
$732$	4955.79	−	6214.36i	0.250234	−	0.313783i
$733$	−3663.37	+	16050.3i	−0.184597	+	0.808773i	0.794807	+	0.606862i	$0.207572\pi$
$733$	−3663.37	+	16050.3i	−0.184597	+	0.808773i	−0.979404	+	0.201910i	$0.935285\pi$
$734$	−17352.8			−0.872622
$735$	7369.94	+	23904.0i	0.369856	+	1.19961i
$736$	6743.87			0.337748
$737$	1104.43	−	4838.81i	0.0551996	−	0.241845i
$738$	15.3216	−	19.2126i	0.000764220	−	0.000958301i
$739$	30018.9	+	14456.4i	1.49427	+	0.719602i	0.989618	−	0.143722i	$-0.0459071\pi$
$739$	30018.9	+	14456.4i	1.49427	+	0.719602i	0.504651	+	0.863324i	$0.331621\pi$
$740$	8674.32	−	10877.3i	0.430912	−	0.540346i
$741$	−9579.36	−	12012.1i	−0.474908	−	0.595515i
$742$	3422.98	−	4637.34i	0.169355	−	0.229437i
$743$	7269.50	−	9115.67i	0.358940	−	0.450096i	−0.569272	−	0.822149i	$-0.692775\pi$
$743$	7269.50	−	9115.67i	0.358940	−	0.450096i	0.928211	+	0.372053i	$0.121346\pi$
$744$	2647.79	+	11600.7i	0.130474	+	0.571644i
$745$	24067.6	+	30179.9i	1.18358	+	1.48417i
$746$	−1854.22	+	8123.85i	−0.0910023	+	0.398707i
$747$	898.090	−	432.498i	0.0439885	−	0.0211837i
$748$	2668.44	−	11691.2i	0.130438	−	0.571487i
$749$	−7731.42	−	28861.7i	−0.377170	−	1.40799i
$750$	−1505.06	−	6594.09i	−0.0732759	−	0.321043i
$751$	−455.171	−	570.767i	−0.0221164	−	0.0277331i	0.770650	−	0.637258i	$-0.219932\pi$
$751$	−455.171	−	570.767i	−0.0221164	−	0.0277331i	−0.792767	+	0.609525i	$0.791360\pi$
$752$	−1855.74	+	893.677i	−0.0899892	+	0.0433365i
$753$	−18342.7			−0.887712
$754$	−22428.1			−1.08327
$755$	−37260.5	+	17943.7i	−1.79609	+	0.864952i
$756$	6884.96	+	8001.54i	0.331222	+	0.384938i
$757$	−36368.9	−	17514.3i	−1.74617	−	0.840911i	−0.980194	−	0.198040i	$-0.936542\pi$
$757$	−36368.9	−	17514.3i	−1.74617	−	0.840911i	−0.765975	−	0.642870i	$-0.777743\pi$
$758$	13285.3	+	6397.86i	0.636601	+	0.306571i
$759$	−9342.17	−	40930.7i	−0.446771	−	1.95743i
$760$	−1336.50	−	5855.58i	−0.0637893	−	0.279479i
$761$	−990.787	−	477.138i	−0.0471958	−	0.0227283i	0.410137	−	0.912024i	$-0.365481\pi$
$761$	−990.787	−	477.138i	−0.0471958	−	0.0227283i	−0.457333	+	0.889296i	$0.651195\pi$
$762$	201.669	+	97.1185i	0.00958752	+	0.00461710i
$763$	5377.86	−	28412.4i	0.255166	−	1.34810i
$764$	−5058.01	+	2435.81i	−0.239519	+	0.115346i
$765$	−967.193			−0.0457110
$766$	−18575.6			−0.876193
$767$	−5058.90	+	2436.24i	−0.238157	+	0.114690i
$768$	815.728	+	1022.89i	0.0383269	+	0.0480604i
$769$	4133.28	+	18109.1i	0.193823	+	0.849193i	0.974523	+	0.224288i	$0.0720055\pi$
$769$	4133.28	+	18109.1i	0.193823	+	0.849193i	−0.780700	+	0.624906i	$0.785137\pi$
$770$	−18216.3	+	9626.08i	−0.852560	+	0.450519i
$771$	2508.94	−	10992.4i	0.117195	−	0.513464i
$772$	14021.5	−	6752.38i	0.653684	−	0.314797i
$773$	−5516.70	+	24170.2i	−0.256691	+	1.12463i	0.668074	+	0.744095i	$0.267119\pi$
$773$	−5516.70	+	24170.2i	−0.256691	+	1.12463i	−0.924765	+	0.380540i	$0.875738\pi$
$774$	−515.524	−	646.447i	−0.0239407	−	0.0300207i
$775$	5092.06	+	22309.8i	0.236016	+	1.03405i
$776$	−592.322	+	742.748i	−0.0274009	+	0.0343597i
$777$	−4290.51	+	22667.7i	−0.198097	+	1.04659i
$778$	3463.78	+	4343.44i	0.159618	+	0.200154i
$779$	457.353	−	573.503i	0.0210352	−	0.0263773i
$780$	15017.8	+	7232.20i	0.689390	+	0.331993i
$781$	−4253.43	+	5333.63i	−0.194878	+	0.244369i
$782$	7213.49	−	31604.3i	0.329864	−	1.44523i
$783$	27964.7			1.27634
$784$	3732.26	+	4023.48i	0.170019	+	0.183285i
$785$	26072.4			1.18543
$786$	4926.40	−	21583.9i	0.223561	−	0.979483i
$787$	6102.84	−	7652.71i	0.276420	−	0.346620i	−0.624171	−	0.781288i	$-0.714563\pi$
$787$	6102.84	−	7652.71i	0.276420	−	0.346620i	0.900591	+	0.434668i	$0.143134\pi$
$788$	4705.34	+	2265.97i	0.212717	+	0.102439i
$789$	3232.05	−	4052.86i	0.145835	−	0.182871i
$790$	−2024.85	−	2539.08i	−0.0911910	−	0.114350i
$791$	2208.16	+	8243.16i	0.0992582	+	0.370535i
$792$	−171.345	+	214.859i	−0.00768746	+	0.00963977i
$793$	−4943.79	−	21660.2i	−0.221386	−	0.969956i
$794$	−15918.1	−	19960.7i	−0.711476	−	0.892163i
$795$	−2525.22	+	11063.7i	−0.112655	+	0.493572i
$796$	−391.499	+	188.536i	−0.0174325	+	0.00839507i
$797$	−6827.84	+	29914.7i	−0.303456	+	1.32953i	0.561415	+	0.827535i	$0.310257\pi$
$797$	−6827.84	+	29914.7i	−0.303456	+	1.32953i	−0.864871	+	0.501994i	$0.832600\pi$
$798$	6496.02	+	7549.52i	0.288166	+	0.334900i
$799$	2203.15	+	9652.61i	0.0975490	+	0.427390i
$800$	1568.76	+	1967.16i	0.0693299	+	0.0869369i
$801$	−628.294	+	302.571i	−0.0277150	+	0.0133468i
$802$	−13189.2			−0.580707
$803$	−24759.2			−1.08809
$804$	2345.15	−	1129.36i	0.102869	−	0.0495393i
$805$	−49243.5	+	26021.8i	−2.15603	+	1.13931i
$806$	29966.0	+	14430.9i	1.30956	+	0.630652i
$807$	30646.0	+	14758.3i	1.33679	+	0.643764i
$808$	938.820	+	4113.24i	0.0408757	+	0.179088i
$809$	1342.10	+	5880.12i	0.0583259	+	0.255543i	0.995682	−	0.0928304i	$-0.0295914\pi$
$809$	1342.10	+	5880.12i	0.0583259	+	0.255543i	−0.937356	+	0.348373i	$0.886734\pi$
$810$	−18113.2	−	8722.86i	−0.785720	−	0.378383i
$811$	31278.3	+	15062.8i	1.35429	+	0.652191i	0.963355	−	0.268228i	$-0.0864381\pi$
$811$	31278.3	+	15062.8i	1.35429	+	0.652191i	0.390933	+	0.920419i	$0.372152\pi$
$812$	14528.7	−	542.661i	0.627901	−	0.0234528i
$813$	−19435.8	+	9359.81i	−0.838431	+	0.403767i
$814$	−19002.0			−0.818206
$815$	−39920.0			−1.71575
$816$	5666.18	−	2728.69i	0.243084	−	0.117063i
$817$	−15388.6	−	19296.6i	−0.658969	−	0.826321i
$818$	−2808.20	−	12303.5i	−0.120032	−	0.525895i
$819$	931.958	−	34.8097i	0.0397622	−	0.00148516i
$820$	−177.086	+	775.863i	−0.00754158	+	0.0330418i
$821$	−20655.7	+	9947.28i	−0.878063	+	0.422853i	−0.817917	−	0.575337i	$-0.804871\pi$
$821$	−20655.7	+	9947.28i	−0.878063	+	0.422853i	−0.0601465	+	0.998190i	$0.519157\pi$
$822$	−1860.92	+	8153.24i	−0.0789625	+	0.345957i
$823$	6774.26	+	8494.66i	0.286921	+	0.359788i	0.904314	−	0.426867i	$-0.140383\pi$
$823$	6774.26	+	8494.66i	0.286921	+	0.359788i	−0.617393	+	0.786655i	$0.711811\pi$
$824$	1172.64	+	5137.65i	0.0495761	+	0.217207i
$825$	9766.14	−	12246.4i	0.412137	−	0.516804i
$826$	3218.14	−	1700.56i	0.135561	−	0.0716346i
$827$	3985.87	+	4998.12i	0.167596	+	0.210159i	0.858536	−	0.512753i	$-0.171374\pi$
$827$	3985.87	+	4998.12i	0.167596	+	0.210159i	−0.690940	+	0.722912i	$0.742803\pi$
$828$	−463.189	+	580.821i	−0.0194407	+	0.0243779i
$829$	17556.6	+	8454.83i	0.735545	+	0.354220i	0.763862	−	0.645379i	$-0.223301\pi$
$829$	17556.6	+	8454.83i	0.735545	+	0.354220i	−0.0283173	+	0.999599i	$0.509015\pi$
$830$	−20127.0	+	25238.4i	−0.841708	+	1.05547i
$831$	2238.34	−	9806.80i	0.0934382	−	0.409379i
$832$	3656.98			0.152383
$833$	22847.7	−	13187.1i	0.950332	−	0.548507i
$834$	−13459.4			−0.558828
$835$	4655.25	−	20396.0i	0.192936	−	0.845308i
$836$	−5114.69	+	6413.62i	−0.211597	+	0.265335i
$837$	−37363.3	−	17993.2i	−1.54297	−	0.743054i
$838$	−11198.1	+	14042.0i	−0.461613	+	0.578845i
$839$	9763.53	+	12243.1i	0.401757	+	0.503788i	0.941021	−	0.338349i	$-0.109869\pi$
$839$	9763.53	+	12243.1i	0.401757	+	0.503788i	−0.539263	+	0.842137i	$0.681297\pi$
$840$	−9903.32	−	4321.56i	−0.406782	−	0.177509i
$841$	8808.09	−	11045.0i	0.361150	−	0.452868i
$842$	−2681.42	−	11748.1i	−0.109748	−	0.480838i
$843$	−16394.3	−	20557.7i	−0.669808	−	0.839913i
$844$	−4871.21	+	21342.2i	−0.198666	+	0.870412i
$845$	13731.1	−	6612.53i	0.559010	−	0.269205i
$846$	50.4891	−	221.207i	0.00205183	−	0.00898967i
$847$	3198.64	+	1395.80i	0.129760	+	0.0566238i
$848$	554.019	+	2427.32i	0.0224353	+	0.0982953i
$849$	−446.381	−	559.744i	−0.0180445	−	0.0226270i
$850$	10896.8	−	5247.64i	0.439716	−	0.211756i
$851$	−51367.4			−2.06915
$852$	−3577.71			−0.143862
$853$	−24186.0	+	11647.4i	−0.970825	+	0.467525i	−0.850940	−	0.525263i	$-0.823967\pi$
$853$	−24186.0	+	11647.4i	−0.970825	+	0.467525i	−0.119885	+	0.992788i	$0.538253\pi$
$854$	3726.60	+	13911.6i	0.149323	+	0.557428i
$855$	596.110	+	287.072i	0.0238439	+	0.0114826i
$856$	11628.5	+	5599.98i	0.464315	+	0.223602i
$857$	−2432.10	−	10655.7i	−0.0969417	−	0.424729i	0.903047	−	0.429542i	$-0.141325\pi$
$857$	−2432.10	−	10655.7i	−0.0969417	−	0.424729i	−0.999988	+	0.00481298i	$0.998468\pi$
$858$	−5065.95	−	22195.4i	−0.201572	−	0.883144i
$859$	−3574.21	−	1721.25i	−0.141968	−	0.0683681i	0.361551	−	0.932352i	$-0.382247\pi$
$859$	−3574.21	−	1721.25i	−0.141968	−	0.0683681i	−0.503519	+	0.863984i	$0.667962\pi$
$860$	24125.0	+	11618.0i	0.956578	+	0.460664i
$861$	−341.465	−	1274.70i	−0.0135158	−	0.0504549i
$862$	26088.0	−	12563.3i	1.03081	−	0.496413i
$863$	−8505.37			−0.335488			−0.167744	−	0.985831i	$-0.553648\pi$
$863$	−8505.37			−0.335488			−0.167744	+	0.985831i	$0.553648\pi$
$864$	−4559.72			−0.179543
$865$	−28623.6	+	13784.4i	−1.12512	+	0.541831i
$866$	1073.89	+	1346.62i	0.0421389	+	0.0528406i
$867$	−1139.74	−	4993.51i	−0.0446452	−	0.195604i
$868$	−19760.7	−	8623.08i	−0.772723	−	0.337196i
$869$	−987.022	+	4324.43i	−0.0385298	+	0.168810i
$870$	−25790.2	+	12419.9i	−1.00502	+	0.483994i
$871$	1618.97	−	7093.16i	0.0629812	−	0.275939i
$872$	7787.95	+	9765.78i	0.302446	+	0.379256i
$873$	−23.2873	−	102.028i	−0.000902812	−	0.00395548i
$874$	−13826.3	+	17337.7i	−0.535107	+	0.671002i
$875$	11232.4	+	4901.53i	0.433971	+	0.189374i
$876$	−8095.82	−	10151.8i	−0.312252	−	0.391551i
$877$	3804.37	−	4770.53i	0.146482	−	0.183682i	−0.703178	−	0.711014i	$-0.748236\pi$
$877$	3804.37	−	4770.53i	0.146482	−	0.183682i	0.849659	+	0.527332i	$0.176808\pi$
$878$	6090.89	+	2933.22i	0.234120	+	0.112746i
$879$	28161.4	−	35313.2i	1.08061	−	1.35505i
$880$	1980.39	−	8676.66i	0.0758625	−	0.332375i
$881$	−10773.3			−0.411990			−0.205995	−	0.978553i	$-0.566043\pi$
$881$	−10773.3			−0.411990			−0.205995	+	0.978553i	$0.566043\pi$
$882$	−602.868	+	45.0985i	−0.0230154	+	0.00172171i
$883$	29374.8			1.11953			0.559763	−	0.828653i	$-0.310892\pi$
$883$	29374.8			1.11953			0.559763	+	0.828653i	$0.310892\pi$
$884$	3911.63	−	17138.0i	0.148826	−	0.652051i
$885$	−4468.15	+	5602.88i	−0.169712	+	0.212812i
$886$	−3960.08	−	1907.07i	−0.150160	−	0.0723131i
$887$	963.854	−	1208.64i	0.0364860	−	0.0457520i	−0.763254	−	0.646099i	$-0.776399\pi$
$887$	963.854	−	1208.64i	0.0364860	−	0.0457520i	0.799740	+	0.600347i	$0.204971\pi$
$888$	−6213.31	−	7791.25i	−0.234803	−	0.294434i
$889$	−358.587	+	189.488i	−0.0135282	+	0.00714874i
$890$	14080.6	−	17656.5i	0.530318	−	0.664998i
$891$	6110.12	+	26770.2i	0.229738	+	1.00655i
$892$	−15026.7	−	18842.9i	−0.564048	−	0.707293i
$893$	1507.12	−	6603.11i	0.0564768	−	0.247441i
$894$	24911.6	−	11996.8i	0.931956	−	0.448806i
$895$	−5859.75	+	25673.3i	−0.218849	+	0.958840i
$896$	−2368.94	+	88.4826i	−0.0883268	+	0.00329910i
$897$	−13694.6	−	59999.9i	−0.509753	−	2.23337i
$898$	20390.9	+	25569.4i	0.757744	+	0.950180i
$899$	−51460.9	+	24782.3i	−1.90914	+	0.919394i
$900$	−277.170			−0.0102655
$901$	11967.9			0.442519
$902$	979.299	−	471.605i	0.0361498	−	0.0174088i
$903$	−44371.1	+	1657.31i	−1.63519	+	0.0610762i
$904$	−3321.20	−	1599.41i	−0.122192	−	0.0588445i
$905$	9203.51	+	4432.18i	0.338050	+	0.162796i
$906$	6591.70	+	28880.1i	0.241716	+	1.05903i
$907$	5259.85	+	23044.9i	0.192558	+	0.843654i	0.975225	+	0.221213i	$0.0710016\pi$
$907$	5259.85	+	23044.9i	0.192558	+	0.843654i	−0.782667	+	0.622441i	$0.786141\pi$
$908$	2612.98	+	1258.34i	0.0955009	+	0.0459908i
$909$	−418.736	−	201.653i	−0.0152790	−	0.00735798i
$910$	−26703.1	+	14110.8i	−0.972747	+	0.514030i
$911$	14563.9	−	7013.60i	0.529663	−	0.255072i	−0.149885	−	0.988703i	$-0.547890\pi$
$911$	14563.9	−	7013.60i	0.529663	−	0.255072i	0.679548	+	0.733631i	$0.262176\pi$
$912$	−4302.14			−0.156204
$913$	44090.2			1.59822
$914$	6456.28	−	3109.18i	0.233649	−	0.112519i
$915$	−17679.5	−	22169.4i	−0.638762	−	0.800983i
$916$	1168.92	+	5121.39i	0.0421641	+	0.184733i
$917$	26164.1	+	30407.3i	0.942217	+	1.09502i
$918$	−4877.24	+	21368.6i	−0.175352	+	0.768267i
$919$	3243.73	−	1562.10i	0.116432	−	0.0560706i	−0.374761	−	0.927121i	$-0.622275\pi$
$919$	3243.73	−	1562.10i	0.116432	−	0.0560706i	0.491193	+	0.871051i	$0.336561\pi$
$920$	5353.51	−	23455.3i	0.191848	−	0.840540i
$921$	12196.2	+	15293.5i	0.436349	+	0.547164i
$922$	8038.58	+	35219.3i	0.287133	+	1.25801i
$923$	−6235.06	+	7818.51i	−0.222350	+	0.278819i
$924$	3818.68	+	14255.3i	0.135958	+	0.507537i
$925$	−11949.0	−	14983.6i	−0.424738	−	0.532604i
$926$	−12987.6	+	16285.9i	−0.460906	+	0.577958i
$927$	−523.024	−	251.875i	−0.0185311	−	0.00892412i
$928$	−3915.62	+	4910.03i	−0.138509	+	0.173685i
$929$	10914.5	−	47819.7i	0.385462	−	1.68882i	−0.294563	−	0.955632i	$-0.595174\pi$
$929$	10914.5	−	47819.7i	0.385462	−	1.68882i	0.680026	−	0.733188i	$-0.261969\pi$
$930$	42449.4			1.49674
$931$	−17995.8	+	1346.20i	−0.633500	+	0.0473900i
$932$	−15479.6			−0.544046
$933$	3046.66	−	13348.3i	0.106906	−	0.468385i
$934$	−14503.2	+	18186.4i	−0.508092	+	0.637127i
$935$	−38543.8	−	18561.7i	−1.34815	−	0.649234i
$936$	−251.172	+	314.960i	−0.00877117	+	0.0109987i
$937$	8162.67	+	10235.7i	0.284592	+	0.356867i	0.903494	−	0.428601i	$-0.140993\pi$
$937$	8162.67	+	10235.7i	0.284592	+	0.356867i	−0.618902	+	0.785468i	$0.712422\pi$
$938$	−877.122	+	4634.02i	−0.0305320	+	0.161307i
$939$	−8235.32	+	10326.8i	−0.286208	+	0.358894i
$940$	1635.07	+	7163.72i	0.0567342	+	0.248569i
$941$	23397.7	+	29339.7i	0.810565	+	1.01642i	0.999408	+	0.0344093i	$0.0109550\pi$
$941$	23397.7	+	29339.7i	0.810565	+	1.01642i	−0.188843	+	0.982007i	$0.560474\pi$
$942$	4155.65	−	18207.1i	0.143735	−	0.629744i
$943$	2647.30	−	1274.87i	0.0914188	−	0.0440250i
$944$	−349.860	+	1532.84i	−0.0120625	+	0.0528492i
$945$	33294.9	−	17594.1i	1.14612	−	0.605646i
$946$	−8138.09	−	35655.3i	−0.279696	−	1.22543i
$947$	9928.10	+	12449.4i	0.340676	+	0.427194i	0.922426	−	0.386174i	$-0.126203\pi$
$947$	9928.10	+	12449.4i	0.340676	+	0.427194i	−0.581751	+	0.813367i	$0.697632\pi$
$948$	−2095.85	+	1009.31i	−0.0718039	+	0.0345789i
$949$	−36294.2			−1.24148
$950$	−8273.61			−0.282559
$951$	900.845	−	433.824i	0.0307170	−	0.0147925i
$952$	−2119.24	+	11196.4i	−0.0721481	+	0.381174i
$953$	−19549.7	−	9414.62i	−0.664507	−	0.320010i	0.0710497	−	0.997473i	$-0.477365\pi$
$953$	−19549.7	−	9414.62i	−0.664507	−	0.320010i	−0.735557	+	0.677463i	$0.763079\pi$
$954$	−247.106	−	119.000i	−0.00838612	−	0.00403854i
$955$	4456.56	+	19525.5i	0.151006	+	0.661601i
$956$	−2131.80	−	9340.03i	−0.0721207	−	0.315981i
$957$	35224.8	+	16963.4i	1.18982	+	0.572986i
$958$	14802.4	+	7128.46i	0.499211	+	0.240407i
$959$	−9883.35	−	11486.2i	−0.332795	−	0.386766i
$960$	4205.18	−	2025.11i	0.141377	−	0.0680834i
$961$	54911.0			1.84321
$962$	−27854.8			−0.933550
$963$	−1280.98	+	616.888i	−0.0428651	+	0.0206427i
$964$	11502.6	+	14423.8i	0.384308	+	0.481907i
$965$	−12354.2	−	54127.1i	−0.412119	−	1.80561i
$966$	10322.9	+	38535.8i	0.343824	+	1.28351i
$967$	2958.90	−	12963.8i	0.0983990	−	0.431114i	−0.901600	−	0.432571i	$-0.857607\pi$
$967$	2958.90	−	12963.8i	0.0983990	−	0.431114i	0.999999	+	0.00145671i	$0.000463685\pi$
$968$	−1358.21	+	654.082i	−0.0450978	+	0.0217180i
$969$	−4601.72	+	20161.5i	−0.152558	+	0.668400i
$970$	2113.08	+	2649.72i	0.0699453	+	0.0877086i
$971$	2383.45	+	10442.6i	0.0787730	+	0.345127i	0.998921	−	0.0464439i	$-0.0147889\pi$
$971$	2383.45	+	10442.6i	0.0787730	+	0.345127i	−0.920148	+	0.391571i	$0.871932\pi$
$972$	616.452	−	773.006i	0.0203423	−	0.0255084i
$973$	14483.1	−	19621.2i	0.477191	−	0.646482i
$974$	−16086.6	−	20171.9i	−0.529207	−	0.663604i
$975$	14316.1	−	17951.8i	0.470237	−	0.589659i
$976$	−5605.02	−	2699.23i	−0.183824	−	0.0885250i
$977$	9172.02	−	11501.4i	0.300347	−	0.376623i	−0.608641	−	0.793446i	$-0.708285\pi$
$977$	9172.02	−	11501.4i	0.300347	−	0.376623i	0.908988	+	0.416823i	$0.136856\pi$
$978$	−6362.81	+	27877.3i	−0.208037	+	0.911470i
$979$	−30845.0			−1.00696
$980$	16956.5	−	9786.85i	0.552710	−	0.319010i
$981$	−1375.98			−0.0447827
$982$	3413.82	−	14956.9i	0.110936	−	0.486043i
$983$	14349.5	−	17993.7i	0.465592	−	0.583834i	−0.492494	−	0.870316i	$-0.663915\pi$
$983$	14349.5	−	17993.7i	0.465592	−	0.583834i	0.958086	+	0.286482i	$0.0924860\pi$
$984$	513.582	+	247.328i	0.0166386	+	0.00801273i
$985$	11616.3	−	14566.4i	0.375763	−	0.471192i
$986$	18822.0	+	23602.0i	0.607925	+	0.762314i
$987$	−7947.23	−	9236.09i	−0.256295	−	0.297860i
$988$	−7497.57	+	9401.65i	−0.241427	+	0.302739i
$989$	−21999.4	−	96385.5i	−0.707320	−	3.09897i
$990$	611.264	+	766.501i	0.0196235	+	0.0246071i
$991$	−11223.7	+	49174.2i	−0.359770	+	1.57626i	0.393995	+	0.919113i	$0.371093\pi$
$991$	−11223.7	+	49174.2i	−0.359770	+	1.57626i	−0.753765	+	0.657144i	$0.771764\pi$
$992$	8390.86	−	4040.83i	0.268559	−	0.129331i
$993$	−7287.38	+	31928.1i	−0.232888	+	1.02035i
$994$	3849.81	−	5215.59i	0.122846	−	0.166427i
$995$	344.945	+	1511.30i	0.0109904	+	0.0481523i
$996$	14416.7	+	18078.0i	0.458645	+	0.575123i
$997$	38486.0	−	18533.9i	1.22253	−	0.588740i	0.292515	−	0.956261i	$-0.405508\pi$
$997$	38486.0	−	18533.9i	1.22253	−	0.588740i	0.930015	+	0.367521i	$0.119794\pi$
$998$	41516.9			1.31683
$999$	34730.9			1.09994

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.4.e.a.15.6	✓	42
49.36	even	7	inner	98.4.e.a.85.6	yes	42

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.4.e.a.15.6	✓	42	1.1	even	1	trivial
98.4.e.a.85.6	yes	42	49.36	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	98.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.445042 + 1.94986i) q^{2} +(3.18644 - 3.99567i) q^{3} +(-3.60388 - 1.73553i) q^{4} +(-8.89709 + 11.1566i) q^{5} +(6.37287 + 7.99133i) q^{6} +(-18.5074 + 0.691270i) q^{7} +(4.98792 - 6.25465i) q^{8} +(0.196101 + 0.859176i) q^{9} +O(q^{10})\)	\(q+(-0.445042 + 1.94986i) q^{2} +(3.18644 - 3.99567i) q^{3} +(-3.60388 - 1.73553i) q^{4} +(-8.89709 + 11.1566i) q^{5} +(6.37287 + 7.99133i) q^{6} +(-18.5074 + 0.691270i) q^{7} +(4.98792 - 6.25465i) q^{8} +(0.196101 + 0.859176i) q^{9} +(-17.7942 - 22.3132i) q^{10} +(-8.67386 + 38.0027i) q^{11} +(-18.4181 + 8.86971i) q^{12} +(-12.7149 + 55.7077i) q^{13} +(6.88867 - 36.3943i) q^{14} +(16.2280 + 71.0996i) q^{15} +(9.97584 + 12.5093i) q^{16} +(69.2939 - 33.3702i) q^{17} -1.76254 q^{18} -52.6125 q^{19} +(51.4267 - 24.7658i) q^{20} +(-56.2104 + 76.1519i) q^{21} +(-70.2395 - 33.8256i) q^{22} +(-189.876 - 91.4393i) q^{23} +(-9.09781 - 39.8601i) q^{24} +(-17.4963 - 76.6564i) q^{25} +(-102.963 - 49.5845i) q^{26} +(128.380 + 61.8247i) q^{27} +(67.8979 + 29.6289i) q^{28} +(176.820 - 85.1519i) q^{29} -145.856 q^{30} -291.036 q^{31} +(-28.8310 + 13.8843i) q^{32} +(124.207 + 155.751i) q^{33} +(34.2283 + 149.964i) q^{34} +(156.949 - 212.629i) q^{35} +(0.784405 - 3.43670i) q^{36} +(219.603 - 105.755i) q^{37} +(23.4148 - 102.587i) q^{38} +(182.074 + 228.313i) q^{39} +(25.4027 + 111.296i) q^{40} +(-8.69287 + 10.9005i) q^{41} +(-123.469 - 143.493i) q^{42} +(292.489 + 366.769i) q^{43} +(97.2145 - 121.903i) q^{44} +(-11.3302 - 5.45634i) q^{45} +(262.796 - 329.536i) q^{46} +(-28.6456 + 125.505i) q^{47} +81.7704 q^{48} +(342.044 - 25.5872i) q^{49} +157.256 q^{50} +(87.4645 - 383.207i) q^{51} +(142.506 - 178.696i) q^{52} +(140.199 + 67.5161i) q^{53} +(-177.684 + 222.808i) q^{54} +(-346.808 - 434.884i) q^{55} +(-87.9895 + 119.205i) q^{56} +(-167.646 + 210.222i) q^{57} +(87.3418 + 382.669i) q^{58} +(61.2679 + 76.8275i) q^{59} +(64.9121 - 284.398i) q^{60} +(-350.314 + 168.702i) q^{61} +(129.523 - 567.478i) q^{62} +(-4.22324 - 15.7655i) q^{63} +(-14.2413 - 62.3954i) q^{64} +(-508.382 - 637.491i) q^{65} +(-358.969 + 172.871i) q^{66} -127.328 q^{67} -307.642 q^{68} +(-970.387 + 467.314i) q^{69} +(344.748 + 400.658i) q^{70} +(157.681 + 75.9350i) q^{71} +(6.35198 + 3.05895i) q^{72} +(141.340 + 619.253i) q^{73} +(108.475 + 475.259i) q^{74} +(-362.044 - 174.351i) q^{75} +(189.609 + 91.3108i) q^{76} +(134.260 - 709.325i) q^{77} +(-526.209 + 253.409i) q^{78} +113.793 q^{79} -228.317 q^{80} +(634.669 - 305.640i) q^{81} +(-17.3857 - 21.8010i) q^{82} +(-251.693 - 1102.74i) q^{83} +(334.740 - 176.887i) q^{84} +(-244.216 + 1069.98i) q^{85} +(-845.317 + 407.083i) q^{86} +(223.187 - 977.844i) q^{87} +(194.429 + 243.806i) q^{88} +(176.082 + 771.465i) q^{89} +(15.6815 - 19.6640i) q^{90} +(196.810 - 1039.79i) q^{91} +(525.592 + 659.071i) q^{92} +(-927.368 + 1162.88i) q^{93} +(-231.967 - 111.710i) q^{94} +(468.098 - 586.976i) q^{95} +(-36.3912 + 159.440i) q^{96} -118.751 q^{97} +(-102.333 + 678.324i) q^{98} -34.3519 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 42 q - 14 q^{2} - 5 q^{3} - 28 q^{4} + 12 q^{5} - 10 q^{6} - 7 q^{7} - 56 q^{8} - 98 q^{9}+O(q^{10}) \) 42 * q - 14 * q^2 - 5 * q^3 - 28 * q^4 + 12 * q^5 - 10 * q^6 - 7 * q^7 - 56 * q^8 - 98 * q^9	\( 42 q - 14 q^{2} - 5 q^{3} - 28 q^{4} + 12 q^{5} - 10 q^{6} - 7 q^{7} - 56 q^{8} - 98 q^{9} + 24 q^{10} + 28 q^{11} + 8 q^{12} + 14 q^{13} - 14 q^{14} + 161 q^{15} - 112 q^{16} + 338 q^{17} + 784 q^{18} - 842 q^{19} - 64 q^{20} + 371 q^{21} + 154 q^{22} - 168 q^{23} + 16 q^{24} - 217 q^{25} + 154 q^{26} + 355 q^{27} - 168 q^{28} + 161 q^{29} + 28 q^{30} - 1104 q^{31} - 224 q^{32} + 1006 q^{33} + 214 q^{34} - 385 q^{35} - 392 q^{36} + 490 q^{37} + 612 q^{38} + 693 q^{39} + 264 q^{40} - 14 q^{41} - 1666 q^{42} - 238 q^{43} - 280 q^{44} - 2208 q^{45} - 630 q^{46} - 737 q^{47} + 32 q^{48} - 1575 q^{49} + 2016 q^{50} - 1498 q^{51} + 476 q^{52} - 525 q^{53} + 346 q^{54} - 145 q^{55} - 168 q^{56} + 2226 q^{57} - 1148 q^{58} + 1871 q^{59} + 644 q^{60} - 275 q^{61} - 150 q^{62} + 2044 q^{63} - 448 q^{64} + 868 q^{65} + 1102 q^{66} - 3766 q^{67} - 3128 q^{68} + 677 q^{69} + 1512 q^{70} + 4697 q^{71} - 392 q^{72} + 156 q^{73} + 1078 q^{74} + 6275 q^{75} - 8 q^{76} - 3843 q^{77} - 280 q^{78} + 2114 q^{79} - 928 q^{80} + 3948 q^{81} - 28 q^{82} - 1897 q^{83} + 392 q^{84} - 1267 q^{85} - 2338 q^{86} - 66 q^{87} - 560 q^{88} + 4982 q^{89} + 2934 q^{90} - 2681 q^{91} - 1260 q^{92} - 2975 q^{93} - 2706 q^{94} + 1113 q^{95} + 64 q^{96} - 784 q^{97} + 686 q^{98} - 14966 q^{99}+O(q^{100}) \) 42 * q - 14 * q^2 - 5 * q^3 - 28 * q^4 + 12 * q^5 - 10 * q^6 - 7 * q^7 - 56 * q^8 - 98 * q^9 + 24 * q^10 + 28 * q^11 + 8 * q^12 + 14 * q^13 - 14 * q^14 + 161 * q^15 - 112 * q^16 + 338 * q^17 + 784 * q^18 - 842 * q^19 - 64 * q^20 + 371 * q^21 + 154 * q^22 - 168 * q^23 + 16 * q^24 - 217 * q^25 + 154 * q^26 + 355 * q^27 - 168 * q^28 + 161 * q^29 + 28 * q^30 - 1104 * q^31 - 224 * q^32 + 1006 * q^33 + 214 * q^34 - 385 * q^35 - 392 * q^36 + 490 * q^37 + 612 * q^38 + 693 * q^39 + 264 * q^40 - 14 * q^41 - 1666 * q^42 - 238 * q^43 - 280 * q^44 - 2208 * q^45 - 630 * q^46 - 737 * q^47 + 32 * q^48 - 1575 * q^49 + 2016 * q^50 - 1498 * q^51 + 476 * q^52 - 525 * q^53 + 346 * q^54 - 145 * q^55 - 168 * q^56 + 2226 * q^57 - 1148 * q^58 + 1871 * q^59 + 644 * q^60 - 275 * q^61 - 150 * q^62 + 2044 * q^63 - 448 * q^64 + 868 * q^65 + 1102 * q^66 - 3766 * q^67 - 3128 * q^68 + 677 * q^69 + 1512 * q^70 + 4697 * q^71 - 392 * q^72 + 156 * q^73 + 1078 * q^74 + 6275 * q^75 - 8 * q^76 - 3843 * q^77 - 280 * q^78 + 2114 * q^79 - 928 * q^80 + 3948 * q^81 - 28 * q^82 - 1897 * q^83 + 392 * q^84 - 1267 * q^85 - 2338 * q^86 - 66 * q^87 - 560 * q^88 + 4982 * q^89 + 2934 * q^90 - 2681 * q^91 - 1260 * q^92 - 2975 * q^93 - 2706 * q^94 + 1113 * q^95 + 64 * q^96 - 784 * q^97 + 686 * q^98 - 14966 * q^99

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