Properties

Label 43.6.g.a.24.12
Level 43
Weight 6
Character 43.24
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 24.12
Character \(\chi\) \(=\) 43.24
Dual form 43.6.g.a.9.12

$q$-expansion

\(f(q)\) \(=\) \(q+(2.59848 - 3.25839i) q^{2} +(17.4103 - 2.62418i) q^{3} +(3.25566 + 14.2640i) q^{4} +(30.9820 - 21.1232i) q^{5} +(36.6897 - 63.5485i) q^{6} +(16.4293 + 28.4563i) q^{7} +(175.095 + 84.3211i) q^{8} +(64.0287 - 19.7502i) q^{9} +O(q^{10})\) \(q+(2.59848 - 3.25839i) q^{2} +(17.4103 - 2.62418i) q^{3} +(3.25566 + 14.2640i) q^{4} +(30.9820 - 21.1232i) q^{5} +(36.6897 - 63.5485i) q^{6} +(16.4293 + 28.4563i) q^{7} +(175.095 + 84.3211i) q^{8} +(64.0287 - 19.7502i) q^{9} +(11.6786 - 155.840i) q^{10} +(-51.4133 + 225.256i) q^{11} +(94.1133 + 239.797i) q^{12} +(-69.9136 - 932.932i) q^{13} +(135.413 + 20.4102i) q^{14} +(483.976 - 449.064i) q^{15} +(307.910 - 148.282i) q^{16} +(-1145.63 - 781.080i) q^{17} +(102.023 - 259.951i) q^{18} +(1320.70 + 407.383i) q^{19} +(402.168 + 373.157i) q^{20} +(360.713 + 452.320i) q^{21} +(600.377 + 752.848i) q^{22} +(-911.064 - 845.344i) q^{23} +(3269.73 + 1008.58i) q^{24} +(-627.993 + 1600.10i) q^{25} +(-3221.53 - 2196.40i) q^{26} +(-2791.86 + 1344.49i) q^{27} +(-352.412 + 326.991i) q^{28} +(-4240.94 - 639.219i) q^{29} +(-205.624 - 2743.87i) q^{30} +(1435.49 + 3657.58i) q^{31} +(-1066.89 + 4674.37i) q^{32} +(-304.008 + 4056.70i) q^{33} +(-5521.97 + 1703.30i) q^{34} +(1110.10 + 534.597i) q^{35} +(490.172 + 849.003i) q^{36} +(-591.148 + 1023.90i) q^{37} +(4759.24 - 3244.79i) q^{38} +(-3665.40 - 16059.2i) q^{39} +(7205.92 - 1086.12i) q^{40} +(-2712.84 + 3401.79i) q^{41} +2411.14 q^{42} +(-6884.11 + 9980.85i) q^{43} -3380.43 q^{44} +(1566.55 - 1964.39i) q^{45} +(-5121.84 + 771.994i) q^{46} +(1258.61 + 5514.34i) q^{47} +(4971.69 - 3389.64i) q^{48} +(7863.66 - 13620.3i) q^{49} +(3581.92 + 6204.08i) q^{50} +(-21995.6 - 10592.5i) q^{51} +(13079.7 - 4034.55i) q^{52} +(1541.20 - 20565.9i) q^{53} +(-2873.72 + 12590.6i) q^{54} +(3165.25 + 8064.91i) q^{55} +(477.207 + 6367.88i) q^{56} +(24062.9 + 3626.90i) q^{57} +(-13102.8 + 12157.6i) q^{58} +(26554.7 - 12788.1i) q^{59} +(7981.10 + 5441.42i) q^{60} +(10639.7 - 27109.5i) q^{61} +(15647.9 + 4826.75i) q^{62} +(1613.96 + 1497.54i) q^{63} +(19277.2 + 24172.8i) q^{64} +(-21872.6 - 27427.3i) q^{65} +(12428.4 + 11531.8i) q^{66} +(6590.35 + 2032.85i) q^{67} +(7411.51 - 18884.2i) q^{68} +(-18080.3 - 12326.9i) q^{69} +(4626.50 - 2228.00i) q^{70} +(-2709.75 + 2514.28i) q^{71} +(12876.4 + 1940.81i) q^{72} +(921.835 + 12301.0i) q^{73} +(1800.17 + 4586.77i) q^{74} +(-6734.60 + 29506.2i) q^{75} +(-1511.14 + 20164.8i) q^{76} +(-7254.65 + 2237.76i) q^{77} +(-61851.5 - 29786.1i) q^{78} +(-37005.1 - 64094.7i) q^{79} +(6407.50 - 11098.1i) q^{80} +(-58532.1 + 39906.5i) q^{81} +(4035.11 + 17679.0i) q^{82} +(-72665.9 + 10952.6i) q^{83} +(-5277.52 + 6617.81i) q^{84} -51993.0 q^{85} +(14633.3 + 48366.2i) q^{86} -75513.6 q^{87} +(-27996.0 + 35105.9i) q^{88} +(52589.5 - 7926.59i) q^{89} +(-2330.11 - 10208.9i) q^{90} +(25399.2 - 17316.9i) q^{91} +(9091.85 - 15747.5i) q^{92} +(34590.6 + 59912.6i) q^{93} +(21238.4 + 10227.9i) q^{94} +(49523.4 - 15275.9i) q^{95} +(-6308.57 + 84182.0i) q^{96} +(-8979.63 + 39342.3i) q^{97} +(-23946.6 - 61014.8i) q^{98} +(1156.94 + 15438.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.59848 3.25839i 0.459351 0.576007i −0.497177 0.867649i \(-0.665630\pi\)
0.956528 + 0.291642i \(0.0942015\pi\)
\(3\) 17.4103 2.62418i 1.11687 0.168341i 0.435437 0.900219i \(-0.356594\pi\)
0.681436 + 0.731878i \(0.261356\pi\)
\(4\) 3.25566 + 14.2640i 0.101739 + 0.445749i
\(5\) 30.9820 21.1232i 0.554224 0.377863i −0.253580 0.967314i \(-0.581608\pi\)
0.807804 + 0.589451i \(0.200656\pi\)
\(6\) 36.6897 63.5485i 0.416070 0.720655i
\(7\) 16.4293 + 28.4563i 0.126728 + 0.219500i 0.922407 0.386219i \(-0.126219\pi\)
−0.795679 + 0.605719i \(0.792886\pi\)
\(8\) 175.095 + 84.3211i 0.967270 + 0.465813i
\(9\) 64.0287 19.7502i 0.263493 0.0812767i
\(10\) 11.6786 155.840i 0.0369309 0.492809i
\(11\) −51.4133 + 225.256i −0.128113 + 0.561300i 0.869603 + 0.493752i \(0.164375\pi\)
−0.997716 + 0.0675484i \(0.978482\pi\)
\(12\) 94.1133 + 239.797i 0.188668 + 0.480718i
\(13\) −69.9136 932.932i −0.114737 1.53106i −0.696415 0.717639i \(-0.745223\pi\)
0.581679 0.813419i \(-0.302396\pi\)
\(14\) 135.413 + 20.4102i 0.184646 + 0.0278309i
\(15\) 483.976 449.064i 0.555387 0.515324i
\(16\) 307.910 148.282i 0.300693 0.144806i
\(17\) −1145.63 781.080i −0.961444 0.655501i −0.0225635 0.999745i \(-0.507183\pi\)
−0.938880 + 0.344244i \(0.888135\pi\)
\(18\) 102.023 259.951i 0.0742195 0.189108i
\(19\) 1320.70 + 407.383i 0.839309 + 0.258892i 0.684464 0.729046i \(-0.260036\pi\)
0.154844 + 0.987939i \(0.450512\pi\)
\(20\) 402.168 + 373.157i 0.224819 + 0.208601i
\(21\) 360.713 + 452.320i 0.178490 + 0.223819i
\(22\) 600.377 + 752.848i 0.264464 + 0.331628i
\(23\) −911.064 845.344i −0.359112 0.333207i 0.479897 0.877325i \(-0.340674\pi\)
−0.839009 + 0.544118i \(0.816864\pi\)
\(24\) 3269.73 + 1008.58i 1.15873 + 0.357422i
\(25\) −627.993 + 1600.10i −0.200958 + 0.512032i
\(26\) −3221.53 2196.40i −0.934605 0.637203i
\(27\) −2791.86 + 1344.49i −0.737028 + 0.354934i
\(28\) −352.412 + 326.991i −0.0849485 + 0.0788207i
\(29\) −4240.94 639.219i −0.936413 0.141141i −0.336930 0.941530i \(-0.609389\pi\)
−0.599482 + 0.800388i \(0.704627\pi\)
\(30\) −205.624 2743.87i −0.0417130 0.556622i
\(31\) 1435.49 + 3657.58i 0.268285 + 0.683580i 0.999998 + 0.00196698i \(0.000626110\pi\)
−0.731713 + 0.681613i \(0.761279\pi\)
\(32\) −1066.89 + 4674.37i −0.184182 + 0.806953i
\(33\) −304.008 + 4056.70i −0.0485959 + 0.648467i
\(34\) −5521.97 + 1703.30i −0.819213 + 0.252694i
\(35\) 1110.10 + 534.597i 0.153177 + 0.0737660i
\(36\) 490.172 + 849.003i 0.0630366 + 0.109183i
\(37\) −591.148 + 1023.90i −0.0709891 + 0.122957i −0.899335 0.437260i \(-0.855949\pi\)
0.828346 + 0.560217i \(0.189282\pi\)
\(38\) 4759.24 3244.79i 0.534661 0.364526i
\(39\) −3665.40 16059.2i −0.385887 1.69068i
\(40\) 7205.92 1086.12i 0.712097 0.107331i
\(41\) −2712.84 + 3401.79i −0.252037 + 0.316044i −0.891714 0.452600i \(-0.850497\pi\)
0.639677 + 0.768644i \(0.279068\pi\)
\(42\) 2411.14 0.210911
\(43\) −6884.11 + 9980.85i −0.567776 + 0.823183i
\(44\) −3380.43 −0.263233
\(45\) 1566.55 1964.39i 0.115322 0.144610i
\(46\) −5121.84 + 771.994i −0.356888 + 0.0537922i
\(47\) 1258.61 + 5514.34i 0.0831089 + 0.364124i 0.999332 0.0365445i \(-0.0116351\pi\)
−0.916223 + 0.400668i \(0.868778\pi\)
\(48\) 4971.69 3389.64i 0.311459 0.212349i
\(49\) 7863.66 13620.3i 0.467880 0.810392i
\(50\) 3581.92 + 6204.08i 0.202624 + 0.350955i
\(51\) −21995.6 10592.5i −1.18416 0.570260i
\(52\) 13079.7 4034.55i 0.670794 0.206913i
\(53\) 1541.20 20565.9i 0.0753649 1.00568i −0.823462 0.567371i \(-0.807960\pi\)
0.898827 0.438304i \(-0.144421\pi\)
\(54\) −2873.72 + 12590.6i −0.134110 + 0.587573i
\(55\) 3165.25 + 8064.91i 0.141091 + 0.359495i
\(56\) 477.207 + 6367.88i 0.0203346 + 0.271347i
\(57\) 24062.9 + 3626.90i 0.980983 + 0.147859i
\(58\) −13102.8 + 12157.6i −0.511440 + 0.474547i
\(59\) 26554.7 12788.1i 0.993141 0.478271i 0.134536 0.990909i \(-0.457046\pi\)
0.858605 + 0.512637i \(0.171331\pi\)
\(60\) 7981.10 + 5441.42i 0.286210 + 0.195135i
\(61\) 10639.7 27109.5i 0.366104 0.932819i −0.622546 0.782583i \(-0.713902\pi\)
0.988650 0.150236i \(-0.0480032\pi\)
\(62\) 15647.9 + 4826.75i 0.516984 + 0.159469i
\(63\) 1613.96 + 1497.54i 0.0512321 + 0.0475365i
\(64\) 19277.2 + 24172.8i 0.588293 + 0.737696i
\(65\) −21872.6 27427.3i −0.642120 0.805194i
\(66\) 12428.4 + 11531.8i 0.351200 + 0.325866i
\(67\) 6590.35 + 2032.85i 0.179358 + 0.0553247i 0.383133 0.923693i \(-0.374845\pi\)
−0.203775 + 0.979018i \(0.565321\pi\)
\(68\) 7411.51 18884.2i 0.194372 0.495253i
\(69\) −18080.3 12326.9i −0.457174 0.311696i
\(70\) 4626.50 2228.00i 0.112852 0.0543464i
\(71\) −2709.75 + 2514.28i −0.0637944 + 0.0591926i −0.711426 0.702761i \(-0.751950\pi\)
0.647631 + 0.761954i \(0.275760\pi\)
\(72\) 12876.4 + 1940.81i 0.292728 + 0.0441217i
\(73\) 921.835 + 12301.0i 0.0202463 + 0.270168i 0.998135 + 0.0610429i \(0.0194427\pi\)
−0.977889 + 0.209125i \(0.932938\pi\)
\(74\) 1800.17 + 4586.77i 0.0382151 + 0.0973705i
\(75\) −6734.60 + 29506.2i −0.138248 + 0.605704i
\(76\) −1511.14 + 20164.8i −0.0300104 + 0.400461i
\(77\) −7254.65 + 2237.76i −0.139441 + 0.0430118i
\(78\) −61851.5 29786.1i −1.15110 0.554342i
\(79\) −37005.1 64094.7i −0.667104 1.15546i −0.978710 0.205247i \(-0.934200\pi\)
0.311606 0.950211i \(-0.399133\pi\)
\(80\) 6407.50 11098.1i 0.111934 0.193876i
\(81\) −58532.1 + 39906.5i −0.991246 + 0.675820i
\(82\) 4035.11 + 17679.0i 0.0662706 + 0.290350i
\(83\) −72665.9 + 10952.6i −1.15780 + 0.174511i −0.699733 0.714404i \(-0.746698\pi\)
−0.458072 + 0.888915i \(0.651460\pi\)
\(84\) −5277.52 + 6617.81i −0.0816079 + 0.102333i
\(85\) −51993.0 −0.780545
\(86\) 14633.3 + 48366.2i 0.213351 + 0.705173i
\(87\) −75513.6 −1.06961
\(88\) −27996.0 + 35105.9i −0.385381 + 0.483252i
\(89\) 52589.5 7926.59i 0.703759 0.106075i 0.212593 0.977141i \(-0.431809\pi\)
0.491166 + 0.871066i \(0.336571\pi\)
\(90\) −2330.11 10208.9i −0.0303228 0.132853i
\(91\) 25399.2 17316.9i 0.321526 0.219213i
\(92\) 9091.85 15747.5i 0.111991 0.193974i
\(93\) 34590.6 + 59912.6i 0.414716 + 0.718308i
\(94\) 21238.4 + 10227.9i 0.247914 + 0.119389i
\(95\) 49523.4 15275.9i 0.562991 0.173660i
\(96\) −6308.57 + 84182.0i −0.0698639 + 0.932269i
\(97\) −8979.63 + 39342.3i −0.0969012 + 0.424552i −0.999988 0.00490624i \(-0.998438\pi\)
0.903087 + 0.429458i \(0.141295\pi\)
\(98\) −23946.6 61014.8i −0.251871 0.641756i
\(99\) 1156.94 + 15438.3i 0.0118638 + 0.158311i
\(100\) −24868.3 3748.30i −0.248683 0.0374830i
\(101\) 128534. 119262.i 1.25376 1.16332i 0.274308 0.961642i \(-0.411551\pi\)
0.979452 0.201677i \(-0.0646391\pi\)
\(102\) −91669.5 + 44145.7i −0.872418 + 0.420134i
\(103\) 123773. + 84387.1i 1.14956 + 0.783760i 0.979454 0.201666i \(-0.0646354\pi\)
0.170110 + 0.985425i \(0.445588\pi\)
\(104\) 66424.3 169246.i 0.602204 1.53439i
\(105\) 20730.1 + 6394.39i 0.183497 + 0.0566012i
\(106\) −63006.9 58461.9i −0.544657 0.505368i
\(107\) 53705.1 + 67344.0i 0.453478 + 0.568643i 0.955039 0.296479i \(-0.0958124\pi\)
−0.501562 + 0.865122i \(0.667241\pi\)
\(108\) −28267.1 35445.8i −0.233196 0.292419i
\(109\) 59869.9 + 55551.2i 0.482661 + 0.447844i 0.883587 0.468266i \(-0.155121\pi\)
−0.400926 + 0.916110i \(0.631312\pi\)
\(110\) 34503.5 + 10642.9i 0.271882 + 0.0838646i
\(111\) −7605.17 + 19377.7i −0.0585870 + 0.149277i
\(112\) 9278.29 + 6325.83i 0.0698913 + 0.0476510i
\(113\) −29031.7 + 13980.9i −0.213883 + 0.103001i −0.537758 0.843099i \(-0.680729\pi\)
0.323875 + 0.946100i \(0.395014\pi\)
\(114\) 74344.9 68982.0i 0.535783 0.497134i
\(115\) −46083.0 6945.90i −0.324935 0.0489760i
\(116\) −4689.25 62573.7i −0.0323563 0.431765i
\(117\) −22902.1 58353.6i −0.154672 0.394097i
\(118\) 27333.3 119755.i 0.180712 0.791751i
\(119\) 3404.74 45433.1i 0.0220403 0.294107i
\(120\) 122607. 37819.3i 0.777254 0.239751i
\(121\) 97004.9 + 46715.1i 0.602324 + 0.290064i
\(122\) −60686.4 105112.i −0.369140 0.639370i
\(123\) −38304.4 + 66345.2i −0.228290 + 0.395409i
\(124\) −47498.1 + 32383.7i −0.277410 + 0.189135i
\(125\) 40417.8 + 177082.i 0.231365 + 1.01368i
\(126\) 9073.42 1367.60i 0.0509149 0.00767418i
\(127\) −85075.8 + 106682.i −0.468055 + 0.586922i −0.958694 0.284441i \(-0.908192\pi\)
0.490639 + 0.871363i \(0.336763\pi\)
\(128\) −24570.6 −0.132554
\(129\) −93663.1 + 191835.i −0.495557 + 1.01497i
\(130\) −146204. −0.758756
\(131\) 235606. 295441.i 1.19952 1.50415i 0.386122 0.922448i \(-0.373814\pi\)
0.813400 0.581705i \(-0.197614\pi\)
\(132\) −58854.4 + 8870.88i −0.293998 + 0.0443131i
\(133\) 10105.6 + 44275.4i 0.0495372 + 0.217037i
\(134\) 23748.7 16191.6i 0.114256 0.0778983i
\(135\) −58097.6 + 100628.i −0.274362 + 0.475209i
\(136\) −134733. 233364.i −0.624635 1.08190i
\(137\) 26696.9 + 12856.6i 0.121523 + 0.0585226i 0.493658 0.869656i \(-0.335660\pi\)
−0.372134 + 0.928179i \(0.621374\pi\)
\(138\) −87147.1 + 26881.3i −0.389543 + 0.120158i
\(139\) 17926.0 239206.i 0.0786951 1.05011i −0.808433 0.588589i \(-0.799684\pi\)
0.887128 0.461524i \(-0.152697\pi\)
\(140\) −4011.36 + 17574.9i −0.0172970 + 0.0757832i
\(141\) 36383.5 + 92703.7i 0.154119 + 0.392689i
\(142\) 1151.28 + 15362.7i 0.00479136 + 0.0639362i
\(143\) 213743. + 32216.6i 0.874082 + 0.131747i
\(144\) 16786.5 15575.6i 0.0674611 0.0625947i
\(145\) −144895. + 69777.9i −0.572314 + 0.275612i
\(146\) 42476.9 + 28960.3i 0.164919 + 0.112440i
\(147\) 101167. 257769.i 0.386140 0.983868i
\(148\) −16529.4 5098.65i −0.0620302 0.0191338i
\(149\) −123859. 114924.i −0.457048 0.424079i 0.417753 0.908561i \(-0.362818\pi\)
−0.874801 + 0.484482i \(0.839008\pi\)
\(150\) 78643.1 + 98615.3i 0.285386 + 0.357862i
\(151\) 205075. + 257156.i 0.731932 + 0.917813i 0.998947 0.0458791i \(-0.0146089\pi\)
−0.267015 + 0.963692i \(0.586037\pi\)
\(152\) 196897. + 182694.i 0.691242 + 0.641379i
\(153\) −88780.0 27385.0i −0.306610 0.0945767i
\(154\) −11559.6 + 29453.3i −0.0392771 + 0.100076i
\(155\) 121734. + 82997.1i 0.406990 + 0.277481i
\(156\) 217134. 104566.i 0.714360 0.344017i
\(157\) −335341. + 311151.i −1.08577 + 1.00745i −0.0858320 + 0.996310i \(0.527355\pi\)
−0.999938 + 0.0111377i \(0.996455\pi\)
\(158\) −305002. 45971.7i −0.971987 0.146503i
\(159\) −27135.9 362103.i −0.0851238 1.13590i
\(160\) 65683.1 + 167358.i 0.202840 + 0.516828i
\(161\) 9087.27 39813.9i 0.0276292 0.121052i
\(162\) −22063.5 + 294417.i −0.0660521 + 0.881403i
\(163\) −350098. + 107991.i −1.03210 + 0.318360i −0.764127 0.645066i \(-0.776830\pi\)
−0.267972 + 0.963427i \(0.586354\pi\)
\(164\) −57355.1 27620.8i −0.166518 0.0801911i
\(165\) 76271.7 + 132107.i 0.218099 + 0.377759i
\(166\) −153133. + 265234.i −0.431319 + 0.747066i
\(167\) 430206. 293309.i 1.19367 0.813832i 0.207286 0.978280i \(-0.433537\pi\)
0.986386 + 0.164448i \(0.0525844\pi\)
\(168\) 25018.8 + 109615.i 0.0683901 + 0.299637i
\(169\) −498328. + 75110.8i −1.34214 + 0.202295i
\(170\) −135103. + 169414.i −0.358544 + 0.449600i
\(171\) 92608.9 0.242193
\(172\) −164779. 65700.6i −0.424698 0.169336i
\(173\) −527531. −1.34009 −0.670043 0.742322i \(-0.733725\pi\)
−0.670043 + 0.742322i \(0.733725\pi\)
\(174\) −196220. + 246053.i −0.491328 + 0.616105i
\(175\) −55850.4 + 8418.10i −0.137858 + 0.0207787i
\(176\) 17570.7 + 76982.3i 0.0427570 + 0.187331i
\(177\) 428767. 292328.i 1.02870 0.701355i
\(178\) 110825. 191954.i 0.262172 0.454096i
\(179\) −130903. 226731.i −0.305364 0.528907i 0.671978 0.740571i \(-0.265445\pi\)
−0.977342 + 0.211664i \(0.932112\pi\)
\(180\) 33120.2 + 15949.9i 0.0761924 + 0.0366923i
\(181\) −626089. + 193123.i −1.42049 + 0.438164i −0.907436 0.420190i \(-0.861963\pi\)
−0.513058 + 0.858354i \(0.671487\pi\)
\(182\) 9574.14 127758.i 0.0214250 0.285897i
\(183\) 114100. 499906.i 0.251860 1.10347i
\(184\) −88242.0 224837.i −0.192146 0.489580i
\(185\) 3313.03 + 44209.4i 0.00711699 + 0.0949697i
\(186\) 285102. + 42972.2i 0.604251 + 0.0910762i
\(187\) 234844. 217903.i 0.491106 0.455680i
\(188\) −74558.8 + 35905.6i −0.153852 + 0.0740914i
\(189\) −84127.4 57357.1i −0.171310 0.116797i
\(190\) 78910.5 201061.i 0.158581 0.404057i
\(191\) 401234. + 123764.i 0.795819 + 0.245478i 0.665894 0.746046i \(-0.268050\pi\)
0.129925 + 0.991524i \(0.458526\pi\)
\(192\) 399056. + 370270.i 0.781233 + 0.724879i
\(193\) 546631. + 685454.i 1.05633 + 1.32460i 0.943641 + 0.330971i \(0.107376\pi\)
0.112693 + 0.993630i \(0.464052\pi\)
\(194\) 104859. + 131489.i 0.200033 + 0.250834i
\(195\) −452783. 420121.i −0.852714 0.791203i
\(196\) 219880. + 67824.1i 0.408833 + 0.126108i
\(197\) 59564.0 151767.i 0.109350 0.278619i −0.865716 0.500536i \(-0.833136\pi\)
0.975065 + 0.221917i \(0.0712315\pi\)
\(198\) 53310.2 + 36346.3i 0.0966380 + 0.0658866i
\(199\) 774055. 372765.i 1.38560 0.667271i 0.415417 0.909631i \(-0.363636\pi\)
0.970186 + 0.242360i \(0.0779214\pi\)
\(200\) −244880. + 227216.i −0.432891 + 0.401665i
\(201\) 120075. + 18098.3i 0.209634 + 0.0315972i
\(202\) −54609.5 728714.i −0.0941651 1.25655i
\(203\) −51485.7 131184.i −0.0876893 0.223429i
\(204\) 79481.1 348230.i 0.133718 0.585855i
\(205\) −12192.5 + 162698.i −0.0202633 + 0.270395i
\(206\) 596588. 184023.i 0.979504 0.302137i
\(207\) −75030.0 36132.5i −0.121705 0.0586101i
\(208\) −159864. 276892.i −0.256207 0.443764i
\(209\) −159667. + 276552.i −0.252843 + 0.437936i
\(210\) 74702.1 50931.1i 0.116892 0.0796956i
\(211\) −123546. 541291.i −0.191039 0.836998i −0.976055 0.217522i \(-0.930202\pi\)
0.785016 0.619476i \(-0.212655\pi\)
\(212\) 298369. 44971.9i 0.455946 0.0687229i
\(213\) −40579.6 + 50885.2i −0.0612857 + 0.0768498i
\(214\) 358985. 0.535848
\(215\) −2456.42 + 454642.i −0.00362416 + 0.670769i
\(216\) −602208. −0.878238
\(217\) −80497.2 + 100940.i −0.116046 + 0.145517i
\(218\) 336578. 50731.0i 0.479672 0.0722990i
\(219\) 48329.6 + 211746.i 0.0680931 + 0.298335i
\(220\) −104733. + 71405.6i −0.145890 + 0.0994662i
\(221\) −648599. + 1.12341e6i −0.893297 + 1.54724i
\(222\) 43378.1 + 75133.1i 0.0590729 + 0.102317i
\(223\) 977830. + 470898.i 1.31674 + 0.634110i 0.954566 0.297999i \(-0.0963193\pi\)
0.362177 + 0.932109i \(0.382034\pi\)
\(224\) −150544. + 46436.6i −0.200467 + 0.0618358i
\(225\) −8607.22 + 114855.i −0.0113346 + 0.151250i
\(226\) −29882.9 + 130926.i −0.0389182 + 0.170512i
\(227\) −424773. 1.08230e6i −0.547132 1.39407i −0.890550 0.454886i \(-0.849680\pi\)
0.343418 0.939183i \(-0.388415\pi\)
\(228\) 26606.6 + 355041.i 0.0338963 + 0.452315i
\(229\) 1.26147e6 + 190136.i 1.58960 + 0.239594i 0.883469 0.468489i \(-0.155201\pi\)
0.706130 + 0.708082i \(0.250440\pi\)
\(230\) −142378. + 132108.i −0.177470 + 0.164668i
\(231\) −120433. + 57997.7i −0.148497 + 0.0715123i
\(232\) −688666. 469524.i −0.840018 0.572715i
\(233\) −87610.5 + 223228.i −0.105722 + 0.269376i −0.973939 0.226809i \(-0.927171\pi\)
0.868217 + 0.496184i \(0.165266\pi\)
\(234\) −249649. 77006.6i −0.298051 0.0919366i
\(235\) 155475. + 144260.i 0.183650 + 0.170402i
\(236\) 268861. + 337141.i 0.314231 + 0.394033i
\(237\) −812466. 1.01880e6i −0.939581 1.17820i
\(238\) −139192. 129151.i −0.159284 0.147794i
\(239\) −727764. 224486.i −0.824131 0.254211i −0.146124 0.989266i \(-0.546680\pi\)
−0.678007 + 0.735056i \(0.737156\pi\)
\(240\) 82433.1 210036.i 0.0923791 0.235378i
\(241\) 370910. + 252882.i 0.411364 + 0.280463i 0.751269 0.659997i \(-0.229442\pi\)
−0.339904 + 0.940460i \(0.610395\pi\)
\(242\) 404281. 194692.i 0.443757 0.213702i
\(243\) −362359. + 336220.i −0.393661 + 0.365264i
\(244\) 421329. + 63505.1i 0.453050 + 0.0682864i
\(245\) −44071.2 588089.i −0.0469072 0.625933i
\(246\) 116645. + 297208.i 0.122894 + 0.313128i
\(247\) 287726. 1.26061e6i 0.300079 1.31473i
\(248\) −57063.9 + 761465.i −0.0589158 + 0.786177i
\(249\) −1.23639e6 + 381377.i −1.26374 + 0.389813i
\(250\) 682027. + 328447.i 0.690163 + 0.332365i
\(251\) −47886.3 82941.6i −0.0479764 0.0830975i 0.841040 0.540973i \(-0.181944\pi\)
−0.889016 + 0.457875i \(0.848611\pi\)
\(252\) −16106.3 + 27897.0i −0.0159770 + 0.0276730i
\(253\) 237260. 161761.i 0.233036 0.158881i
\(254\) 126543. + 554420.i 0.123070 + 0.539206i
\(255\) −905215. + 136439.i −0.871769 + 0.131398i
\(256\) −680716. + 853591.i −0.649182 + 0.814048i
\(257\) −1.90519e6 −1.79931 −0.899656 0.436599i \(-0.856183\pi\)
−0.899656 + 0.436599i \(0.856183\pi\)
\(258\) 381692. + 803670.i 0.356996 + 0.751672i
\(259\) −38848.5 −0.0359853
\(260\) 320013. 401284.i 0.293585 0.368144i
\(261\) −284167. + 42831.2i −0.258209 + 0.0389188i
\(262\) −350443. 1.53539e6i −0.315402 1.38187i
\(263\) −855201. + 583066.i −0.762393 + 0.519791i −0.880980 0.473153i \(-0.843116\pi\)
0.118587 + 0.992944i \(0.462163\pi\)
\(264\) −395296. + 684672.i −0.349070 + 0.604606i
\(265\) −386668. 669728.i −0.338239 0.585847i
\(266\) 170526. + 82120.8i 0.147770 + 0.0711622i
\(267\) 894799. 276009.i 0.768152 0.236944i
\(268\) −7540.64 + 100623.i −0.00641315 + 0.0855775i
\(269\) 147845. 647751.i 0.124573 0.545792i −0.873669 0.486522i \(-0.838265\pi\)
0.998242 0.0592703i \(-0.0188774\pi\)
\(270\) 176920. + 450785.i 0.147695 + 0.376322i
\(271\) 136939. + 1.82732e6i 0.113267 + 1.51144i 0.707248 + 0.706966i \(0.249936\pi\)
−0.593981 + 0.804479i \(0.702445\pi\)
\(272\) −468572. 70625.9i −0.384020 0.0578818i
\(273\) 396765. 368144.i 0.322201 0.298959i
\(274\) 111263. 53581.5i 0.0895314 0.0431160i
\(275\) −328145. 223726.i −0.261658 0.178396i
\(276\) 116968. 298028.i 0.0924257 0.235497i
\(277\) 228216. + 70395.2i 0.178709 + 0.0551244i 0.382818 0.923824i \(-0.374954\pi\)
−0.204109 + 0.978948i \(0.565430\pi\)
\(278\) −732848. 679983.i −0.568724 0.527699i
\(279\) 164151. + 205839.i 0.126250 + 0.158313i
\(280\) 149295. + 187210.i 0.113802 + 0.142703i
\(281\) 1.17554e6 + 1.09074e6i 0.888119 + 0.824054i 0.985233 0.171219i \(-0.0547705\pi\)
−0.0971135 + 0.995273i \(0.530961\pi\)
\(282\) 396607. + 122337.i 0.296987 + 0.0916083i
\(283\) 59865.2 152534.i 0.0444333 0.113214i −0.906934 0.421272i \(-0.861584\pi\)
0.951368 + 0.308058i \(0.0996790\pi\)
\(284\) −44685.6 30466.1i −0.0328754 0.0224141i
\(285\) 822131. 395917.i 0.599555 0.288730i
\(286\) 660382. 612745.i 0.477397 0.442960i
\(287\) −141372. 21308.5i −0.101312 0.0152703i
\(288\) 24008.0 + 320365.i 0.0170559 + 0.227596i
\(289\) 183660. + 467958.i 0.129351 + 0.329581i
\(290\) −149144. + 653442.i −0.104138 + 0.456260i
\(291\) −53096.7 + 708527.i −0.0367566 + 0.490483i
\(292\) −172460. + 53197.0i −0.118367 + 0.0365115i
\(293\) −398983. 192140.i −0.271510 0.130752i 0.293175 0.956059i \(-0.405288\pi\)
−0.564685 + 0.825307i \(0.691002\pi\)
\(294\) −577031. 999447.i −0.389342 0.674360i
\(295\) 552593. 957120.i 0.369701 0.640341i
\(296\) −189843. + 129433.i −0.125940 + 0.0858647i
\(297\) −159316. 698008.i −0.104802 0.459166i
\(298\) −696314. + 104952.i −0.454218 + 0.0684623i
\(299\) −724953. + 909062.i −0.468956 + 0.588052i
\(300\) −442802. −0.284057
\(301\) −397119. 31918.5i −0.252642 0.0203061i
\(302\) 1.37080e6 0.864880
\(303\) 1.92485e6 2.41369e6i 1.20445 1.51034i
\(304\) 467066. 70398.8i 0.289864 0.0436899i
\(305\) −243000. 1.06465e6i −0.149574 0.655328i
\(306\) −319924. + 218121.i −0.195318 + 0.133166i
\(307\) −584936. + 1.01314e6i −0.354211 + 0.613512i −0.986983 0.160827i \(-0.948584\pi\)
0.632772 + 0.774339i \(0.281917\pi\)
\(308\) −55538.0 96194.7i −0.0333591 0.0577796i
\(309\) 2.37638e6 + 1.14440e6i 1.41586 + 0.681840i
\(310\) 586761. 180992.i 0.346782 0.106968i
\(311\) −107923. + 1.44013e6i −0.0632722 + 0.844309i 0.871802 + 0.489858i \(0.162951\pi\)
−0.935075 + 0.354451i \(0.884668\pi\)
\(312\) 712335. 3.12094e6i 0.414284 1.81510i
\(313\) 242157. + 617005.i 0.139713 + 0.355982i 0.983555 0.180609i \(-0.0578070\pi\)
−0.843842 + 0.536591i \(0.819712\pi\)
\(314\) 142475. + 1.90119e6i 0.0815481 + 1.08818i
\(315\) 81636.7 + 12304.8i 0.0463563 + 0.00698709i
\(316\) 793768. 736509.i 0.447174 0.414916i
\(317\) 2.75723e6 1.32781e6i 1.54108 0.742144i 0.545683 0.837992i \(-0.316270\pi\)
0.995396 + 0.0958475i \(0.0305561\pi\)
\(318\) −1.25038e6 852498.i −0.693387 0.472744i
\(319\) 362029. 922434.i 0.199189 0.507526i
\(320\) 1.10785e6 + 341728.i 0.604794 + 0.186554i
\(321\) 1.11175e6 + 1.03155e6i 0.602203 + 0.558763i
\(322\) −106116. 133066.i −0.0570351 0.0715198i
\(323\) −1.19485e6 1.49829e6i −0.637244 0.799078i
\(324\) −759786. 704978.i −0.402095 0.373089i
\(325\) 1.53669e6 + 474006.i 0.807008 + 0.248929i
\(326\) −557847. + 1.42137e6i −0.290717 + 0.740736i
\(327\) 1.18813e6 + 810054.i 0.614462 + 0.418933i
\(328\) −761846. + 366885.i −0.391005 + 0.188298i
\(329\) −136240. + 126412.i −0.0693928 + 0.0643871i
\(330\) 628645. + 94753.0i 0.317776 + 0.0478970i
\(331\) −44043.7 587723.i −0.0220960 0.294851i −0.997294 0.0735166i \(-0.976578\pi\)
0.975198 0.221334i \(-0.0710412\pi\)
\(332\) −392803. 1.00085e6i −0.195582 0.498336i
\(333\) −17628.2 + 77234.1i −0.00871158 + 0.0381679i
\(334\) 162165. 2.16394e6i 0.0795408 1.06140i
\(335\) 247123. 76227.3i 0.120310 0.0371107i
\(336\) 178138. + 85786.8i 0.0860813 + 0.0414546i
\(337\) −735772. 1.27439e6i −0.352914 0.611264i 0.633845 0.773460i \(-0.281476\pi\)
−0.986759 + 0.162196i \(0.948142\pi\)
\(338\) −1.05015e6 + 1.81892e6i −0.499990 + 0.866008i
\(339\) −468762. + 319597.i −0.221541 + 0.151044i
\(340\) −169272. 741627.i −0.0794121 0.347927i
\(341\) −897696. + 135306.i −0.418065 + 0.0630131i
\(342\) 240642. 301756.i 0.111252 0.139505i
\(343\) 1.06903e6 0.490631
\(344\) −2.04697e6 + 1.16712e6i −0.932642 + 0.531763i
\(345\) −820547. −0.371155
\(346\) −1.37078e6 + 1.71890e6i −0.615570 + 0.771900i
\(347\) −4.25213e6 + 640905.i −1.89576 + 0.285739i −0.990327 0.138755i \(-0.955690\pi\)
−0.905430 + 0.424495i \(0.860452\pi\)
\(348\) −245846. 1.07712e6i −0.108822 0.476779i
\(349\) −2.57790e6 + 1.75758e6i −1.13293 + 0.772417i −0.976552 0.215281i \(-0.930933\pi\)
−0.156375 + 0.987698i \(0.549981\pi\)
\(350\) −117697. + 203857.i −0.0513564 + 0.0889519i
\(351\) 1.44950e6 + 2.51062e6i 0.627989 + 1.08771i
\(352\) −998079. 480649.i −0.429347 0.206762i
\(353\) −865706. + 267035.i −0.369772 + 0.114059i −0.474071 0.880486i \(-0.657216\pi\)
0.104300 + 0.994546i \(0.466740\pi\)
\(354\) 161622. 2.15670e6i 0.0685477 0.914706i
\(355\) −30843.9 + 135136.i −0.0129897 + 0.0569115i
\(356\) 284278. + 724329.i 0.118883 + 0.302908i
\(357\) −59947.2 799940.i −0.0248942 0.332190i
\(358\) −1.07893e6 162622.i −0.444924 0.0670614i
\(359\) 2.30198e6 2.13593e6i 0.942683 0.874682i −0.0495883 0.998770i \(-0.515791\pi\)
0.992271 + 0.124088i \(0.0396005\pi\)
\(360\) 439934. 211861.i 0.178909 0.0861579i
\(361\) −467550. 318770.i −0.188825 0.128739i
\(362\) −997609. + 2.54187e6i −0.400119 + 1.01949i
\(363\) 1.81147e6 + 558766.i 0.721549 + 0.222568i
\(364\) 329698. + 305915.i 0.130426 + 0.121017i
\(365\) 288398. + 361639.i 0.113308 + 0.142083i
\(366\) −1.33240e6 1.67078e6i −0.519915 0.651953i
\(367\) −2.45067e6 2.27389e6i −0.949771 0.881259i 0.0432656 0.999064i \(-0.486224\pi\)
−0.993037 + 0.117805i \(0.962414\pi\)
\(368\) −405875. 125196.i −0.156233 0.0481915i
\(369\) −106513. + 271391.i −0.0407228 + 0.103760i
\(370\) 152660. + 104082.i 0.0579724 + 0.0395249i
\(371\) 610550. 294026.i 0.230296 0.110905i
\(372\) −741977. + 688454.i −0.277992 + 0.257939i
\(373\) 3.27508e6 + 493639.i 1.21885 + 0.183712i 0.726796 0.686853i \(-0.241008\pi\)
0.492053 + 0.870565i \(0.336247\pi\)
\(374\) −99777.0 1.33143e6i −0.0368851 0.492198i
\(375\) 1.16838e6 + 2.97699e6i 0.429049 + 1.09320i
\(376\) −244599. + 1.07166e6i −0.0892248 + 0.390919i
\(377\) −299848. + 4.00120e6i −0.108655 + 1.44990i
\(378\) −405495. + 125079.i −0.145967 + 0.0450250i
\(379\) −644259. 310259.i −0.230389 0.110950i 0.315128 0.949049i \(-0.397953\pi\)
−0.545517 + 0.838100i \(0.683667\pi\)
\(380\) 379127. + 656667.i 0.134687 + 0.233285i
\(381\) −1.20124e6 + 2.08062e6i −0.423954 + 0.734310i
\(382\) 1.44587e6 985777.i 0.506957 0.345637i
\(383\) 775884. + 3.39937e6i 0.270271 + 1.18414i 0.909694 + 0.415280i \(0.136316\pi\)
−0.639423 + 0.768855i \(0.720827\pi\)
\(384\) −427783. + 64477.9i −0.148046 + 0.0223143i
\(385\) −177495. + 222572.i −0.0610288 + 0.0765277i
\(386\) 3.65389e6 1.24821
\(387\) −243657. + 775024.i −0.0826991 + 0.263050i
\(388\) −590413. −0.199102
\(389\) 1.48890e6 1.86703e6i 0.498876 0.625571i −0.467099 0.884205i \(-0.654701\pi\)
0.965975 + 0.258634i \(0.0832724\pi\)
\(390\) −2.54547e6 + 383667.i −0.847434 + 0.127730i
\(391\) 383465. + 1.68007e6i 0.126848 + 0.555758i
\(392\) 2.52536e6 1.72176e6i 0.830057 0.565923i
\(393\) 3.32669e6 5.76199e6i 1.08650 1.88188i
\(394\) −339739. 588445.i −0.110257 0.190970i
\(395\) −2.50038e6 1.20412e6i −0.806330 0.388308i
\(396\) −216445. + 66764.3i −0.0693600 + 0.0213947i
\(397\) −321874. + 4.29511e6i −0.102497 + 1.36772i 0.674526 + 0.738251i \(0.264348\pi\)
−0.777023 + 0.629473i \(0.783271\pi\)
\(398\) 796751. 3.49079e6i 0.252124 1.10463i
\(399\) 292128. + 744330.i 0.0918631 + 0.234063i
\(400\) 43900.2 + 585807.i 0.0137188 + 0.183065i
\(401\) −4.50350e6 678793.i −1.39859 0.210803i −0.593917 0.804527i \(-0.702419\pi\)
−0.804669 + 0.593724i \(0.797657\pi\)
\(402\) 370983. 344222.i 0.114496 0.106236i
\(403\) 3.31191e6 1.59493e6i 1.01582 0.489192i
\(404\) 2.11961e6 + 1.44513e6i 0.646105 + 0.440507i
\(405\) −970491. + 2.47277e6i −0.294004 + 0.749111i
\(406\) −561232. 173117.i −0.168977 0.0521224i
\(407\) −200246. 185802.i −0.0599210 0.0555985i
\(408\) −2.95813e6 3.70938e6i −0.879766 1.10319i
\(409\) −3.28143e6 4.11479e6i −0.969963 1.21630i −0.976323 0.216316i \(-0.930596\pi\)
0.00636024 0.999980i \(-0.497975\pi\)
\(410\) 498452. + 462496.i 0.146441 + 0.135878i
\(411\) 498540. + 153779.i 0.145578 + 0.0449049i
\(412\) −800732. + 2.04023e6i −0.232404 + 0.592156i
\(413\) 800175. + 545550.i 0.230839 + 0.157384i
\(414\) −312698. + 150587.i −0.0896652 + 0.0431805i
\(415\) −2.01998e6 + 1.87427e6i −0.575742 + 0.534210i
\(416\) 4.43546e6 + 668538.i 1.25662 + 0.189406i
\(417\) −315623. 4.21170e6i −0.0888851 1.18609i
\(418\) 486222. + 1.23887e6i 0.136111 + 0.346806i
\(419\) 358142. 1.56912e6i 0.0996599 0.436638i −0.900339 0.435189i \(-0.856682\pi\)
0.999999 0.00144933i \(-0.000461337\pi\)
\(420\) −23719.2 + 316511.i −0.00656112 + 0.0875520i
\(421\) −6.08838e6 + 1.87802e6i −1.67416 + 0.516409i −0.979244 0.202684i \(-0.935034\pi\)
−0.694914 + 0.719093i \(0.744557\pi\)
\(422\) −2.08477e6 1.00397e6i −0.569871 0.274435i
\(423\) 189497. + 328218.i 0.0514934 + 0.0891891i
\(424\) 2.00399e6 3.47102e6i 0.541354 0.937653i
\(425\) 1.96926e6 1.34262e6i 0.528847 0.360562i
\(426\) 60358.6 + 264448.i 0.0161144 + 0.0706020i
\(427\) 946240. 142623.i 0.251149 0.0378546i
\(428\) −785748. + 985297.i −0.207336 + 0.259991i
\(429\) 3.80588e6 0.998417
\(430\) 1.47502e6 + 1.18938e6i 0.384703 + 0.310206i
\(431\) −776251. −0.201284 −0.100642 0.994923i \(-0.532090\pi\)
−0.100642 + 0.994923i \(0.532090\pi\)
\(432\) −660278. + 827963.i −0.170223 + 0.213453i
\(433\) −4.35401e6 + 656262.i −1.11601 + 0.168212i −0.681051 0.732236i \(-0.738477\pi\)
−0.434964 + 0.900448i \(0.643239\pi\)
\(434\) 119732. + 524582.i 0.0305132 + 0.133687i
\(435\) −2.33956e6 + 1.59509e6i −0.592805 + 0.404168i
\(436\) −597464. + 1.03484e6i −0.150520 + 0.260709i
\(437\) −858868. 1.48760e6i −0.215141 0.372635i
\(438\) 815534. + 392741.i 0.203122 + 0.0978184i
\(439\) 3.10179e6 956776.i 0.768159 0.236946i 0.114182 0.993460i \(-0.463575\pi\)
0.653977 + 0.756514i \(0.273099\pi\)
\(440\) −125825. + 1.67902e6i −0.0309839 + 0.413451i
\(441\) 234496. 1.02740e6i 0.0574169 0.251560i
\(442\) 1.97513e6 + 5.03254e6i 0.480883 + 1.22527i
\(443\) −479339. 6.39633e6i −0.116047 1.54854i −0.686453 0.727174i \(-0.740833\pi\)
0.570406 0.821363i \(-0.306786\pi\)
\(444\) −301162. 45392.9i −0.0725009 0.0109277i
\(445\) 1.46189e6 1.35644e6i 0.349958 0.324714i
\(446\) 4.07524e6 1.96253e6i 0.970099 0.467175i
\(447\) −2.45801e6 1.67584e6i −0.581855 0.396702i
\(448\) −371160. + 945700.i −0.0873707 + 0.222617i
\(449\) 1.31471e6 + 405533.i 0.307760 + 0.0949315i 0.444788 0.895636i \(-0.353279\pi\)
−0.137028 + 0.990567i \(0.543755\pi\)
\(450\) 351878. + 326495.i 0.0819145 + 0.0760055i
\(451\) −626799. 785981.i −0.145106 0.181958i
\(452\) −293941. 368590.i −0.0676727 0.0848589i
\(453\) 4.24525e6 + 3.93901e6i 0.971980 + 0.901866i
\(454\) −4.63033e6 1.42827e6i −1.05432 0.325214i
\(455\) 421131. 1.07302e6i 0.0953649 0.242986i
\(456\) 3.90746e6 + 2.66406e6i 0.880000 + 0.599974i
\(457\) 5.38449e6 2.59304e6i 1.20602 0.580788i 0.280634 0.959815i \(-0.409455\pi\)
0.925386 + 0.379027i \(0.123741\pi\)
\(458\) 3.89744e6 3.61629e6i 0.868191 0.805564i
\(459\) 4.24860e6 + 640374.i 0.941271 + 0.141874i
\(460\) −50954.5 679940.i −0.0112276 0.149822i
\(461\) −712650. 1.81580e6i −0.156179 0.397939i 0.831271 0.555867i \(-0.187614\pi\)
−0.987451 + 0.157928i \(0.949518\pi\)
\(462\) −123965. + 543125.i −0.0270205 + 0.118385i
\(463\) 343187. 4.57952e6i 0.0744010 0.992812i −0.827667 0.561219i \(-0.810333\pi\)
0.902068 0.431593i \(-0.142048\pi\)
\(464\) −1.40061e6 + 432032.i −0.302011 + 0.0931581i
\(465\) 2.33723e6 + 1.12555e6i 0.501268 + 0.241398i
\(466\) 499710. + 865522.i 0.106599 + 0.184635i
\(467\) −76216.1 + 132010.i −0.0161717 + 0.0280101i −0.873998 0.485930i \(-0.838481\pi\)
0.857826 + 0.513940i \(0.171814\pi\)
\(468\) 757792. 516654.i 0.159932 0.109040i
\(469\) 50427.1 + 220936.i 0.0105860 + 0.0463803i
\(470\) 874053. 131742.i 0.182513 0.0275094i
\(471\) −5.02188e6 + 6.29724e6i −1.04307 + 1.30797i
\(472\) 5.72788e6 1.18342
\(473\) −1.89431e6 2.06384e6i −0.389313 0.424153i
\(474\) −5.43083e6 −1.11025
\(475\) −1.48125e6 + 1.85743e6i −0.301227 + 0.377726i
\(476\) 659142. 99349.6i 0.133340 0.0200978i
\(477\) −307500. 1.34725e6i −0.0618798 0.271113i
\(478\) −2.62254e6 + 1.78802e6i −0.524992 + 0.357934i
\(479\) 2.99978e6 5.19578e6i 0.597380 1.03469i −0.395826 0.918326i \(-0.629542\pi\)
0.993206 0.116368i \(-0.0371251\pi\)
\(480\) 1.58274e6 + 2.74139e6i 0.313550 + 0.543084i
\(481\) 996556. + 479916.i 0.196399 + 0.0945807i
\(482\) 1.78779e6 551461.i 0.350509 0.108118i
\(483\) 53733.2 717020.i 0.0104803 0.139850i
\(484\) −350528. + 1.53576e6i −0.0680157 + 0.297996i
\(485\) 552829. + 1.40858e6i 0.106718 + 0.271912i
\(486\) 153953. + 2.05437e6i 0.0295664 + 0.394536i
\(487\) −5.04106e6 759817.i −0.963162 0.145173i −0.351409 0.936222i \(-0.614297\pi\)
−0.611753 + 0.791049i \(0.709535\pi\)
\(488\) 4.14886e6 3.84958e6i 0.788641 0.731751i
\(489\) −5.81194e6 + 2.79888e6i −1.09913 + 0.529313i
\(490\) −2.03074e6 1.38454e6i −0.382089 0.260504i
\(491\) −3.45868e6 + 8.81257e6i −0.647450 + 1.64968i 0.107746 + 0.994178i \(0.465637\pi\)
−0.755197 + 0.655498i \(0.772459\pi\)
\(492\) −1.07105e6 330376.i −0.199479 0.0615312i
\(493\) 4.35929e6 + 4.04483e6i 0.807790 + 0.749519i
\(494\) −3.35991e6 4.21319e6i −0.619455 0.776772i
\(495\) 361950. + 453871.i 0.0663951 + 0.0832568i
\(496\) 984355. + 913348.i 0.179658 + 0.166699i
\(497\) −116066. 35801.7i −0.0210773 0.00650148i
\(498\) −1.97007e6 + 5.01966e6i −0.355966 + 0.906986i
\(499\) 1.08358e6 + 738775.i 0.194810 + 0.132819i 0.656797 0.754068i \(-0.271911\pi\)
−0.461987 + 0.886887i \(0.652863\pi\)
\(500\) −2.39431e6 + 1.15304e6i −0.428306 + 0.206261i
\(501\) 6.72032e6 6.23555e6i 1.19618 1.10989i
\(502\) −394688. 59489.6i −0.0699027 0.0105361i
\(503\) 202388. + 2.70068e6i 0.0356669 + 0.475942i 0.986227 + 0.165400i \(0.0528914\pi\)
−0.950560 + 0.310542i \(0.899490\pi\)
\(504\) 156322. + 398302.i 0.0274122 + 0.0698451i
\(505\) 1.46305e6 6.41003e6i 0.255288 1.11849i
\(506\) 89434.3 1.19342e6i 0.0155284 0.207213i
\(507\) −8.47894e6 + 2.61541e6i −1.46495 + 0.451876i
\(508\) −1.79868e6 866199.i −0.309240 0.148922i
\(509\) −4.08670e6 7.07837e6i −0.699162 1.21098i −0.968757 0.248011i \(-0.920223\pi\)
0.269595 0.962974i \(-0.413110\pi\)
\(510\) −1.90761e6 + 3.30408e6i −0.324761 + 0.562503i
\(511\) −334897. + 228329.i −0.0567361 + 0.0386820i
\(512\) 837547. + 3.66953e6i 0.141200 + 0.618637i
\(513\) −4.23494e6 + 638315.i −0.710484 + 0.107088i
\(514\) −4.95061e6 + 6.20787e6i −0.826515 + 1.03642i
\(515\) 5.61727e6 0.933270
\(516\) −3.04126e6 711458.i −0.502840 0.117632i
\(517\) −1.30685e6 −0.215030
\(518\) −100947. + 126584.i −0.0165299 + 0.0207278i
\(519\) −9.18449e6 + 1.38434e6i −1.49671 + 0.225592i
\(520\) −1.51706e6 6.64670e6i −0.246034 1.07795i
\(521\) −8.59149e6 + 5.85758e6i −1.38667 + 0.945417i −0.386945 + 0.922103i \(0.626470\pi\)
−0.999728 + 0.0233145i \(0.992578\pi\)
\(522\) −598840. + 1.03722e6i −0.0961911 + 0.166608i
\(523\) 868972. + 1.50510e6i 0.138916 + 0.240609i 0.927086 0.374848i \(-0.122305\pi\)
−0.788171 + 0.615457i \(0.788972\pi\)
\(524\) 4.98121e6 + 2.39882e6i 0.792513 + 0.381654i
\(525\) −950284. + 293124.i −0.150472 + 0.0464144i
\(526\) −322365. + 4.30166e6i −0.0508023 + 0.677910i
\(527\) 1.21231e6 5.31149e6i 0.190146 0.833085i
\(528\) 507927. + 1.29418e6i 0.0792897 + 0.202027i
\(529\) −365557. 4.87802e6i −0.0567958 0.757887i
\(530\) −3.18698e6 480361.i −0.492822 0.0742810i
\(531\) 1.44769e6 1.34326e6i 0.222813 0.206740i
\(532\) −598643. + 288291.i −0.0917041 + 0.0441624i
\(533\) 3.36330e6 + 2.29306e6i 0.512800 + 0.349621i
\(534\) 1.42577e6 3.63281e6i 0.216370 0.551302i
\(535\) 3.08641e6 + 952033.i 0.466197 + 0.143803i
\(536\) 982522. + 911647.i 0.147717 + 0.137061i
\(537\) −2.87406e6 3.60395e6i −0.430090 0.539316i
\(538\) −1.72645e6 2.16490e6i −0.257157 0.322465i
\(539\) 2.66375e6 + 2.47160e6i 0.394932 + 0.366443i
\(540\) −1.62450e6 501092.i −0.239737 0.0739492i
\(541\) −1.47175e6 + 3.74995e6i −0.216192 + 0.550848i −0.997291 0.0735593i \(-0.976564\pi\)
0.781099 + 0.624407i \(0.214659\pi\)
\(542\) 6.30997e6 + 4.30206e6i 0.922633 + 0.629040i
\(543\) −1.03936e7 + 5.00530e6i −1.51275 + 0.728502i
\(544\) 4.87333e6 4.52179e6i 0.706039 0.655108i
\(545\) 3.02831e6 + 456444.i 0.436726 + 0.0658259i
\(546\) −168572. 2.24943e6i −0.0241993 0.322917i
\(547\) 3.75189e6 + 9.55966e6i 0.536145 + 1.36607i 0.900517 + 0.434821i \(0.143188\pi\)
−0.364372 + 0.931253i \(0.618716\pi\)
\(548\) −96469.6 + 422661.i −0.0137227 + 0.0601230i
\(549\) 145827. 1.94592e6i 0.0206494 0.275547i
\(550\) −1.58167e6 + 487879.i −0.222950 + 0.0687710i
\(551\) −5.34062e6 2.57191e6i −0.749399 0.360891i
\(552\) −2.12634e6 3.68292e6i −0.297019 0.514452i
\(553\) 1.21593e6 2.10606e6i 0.169082 0.292858i
\(554\) 822389. 560695.i 0.113842 0.0776162i
\(555\) 173694. + 761005.i 0.0239361 + 0.104871i
\(556\) 3.47040e6 523078.i 0.476093 0.0717595i
\(557\) 8.13611e6 1.02024e7i 1.11117 1.39336i 0.200760 0.979640i \(-0.435659\pi\)
0.910405 0.413717i \(-0.135770\pi\)
\(558\) 1.09725e6 0.149183
\(559\) 9.79275e6 + 5.72461e6i 1.32549 + 0.774848i
\(560\) 421082. 0.0567410
\(561\) 3.51689e6 4.41004e6i 0.471793 0.591610i
\(562\) 6.60868e6 996098.i 0.882620 0.133034i
\(563\) −3.02930e6 1.32722e7i −0.402783 1.76471i −0.616042 0.787714i \(-0.711265\pi\)
0.213258 0.976996i \(-0.431592\pi\)
\(564\) −1.20387e6 + 820785.i −0.159361 + 0.108650i
\(565\) −604139. + 1.04640e6i −0.0796189 + 0.137904i
\(566\) −341457. 591420.i −0.0448017 0.0775988i
\(567\) −2.09723e6 1.00997e6i −0.273961 0.131933i
\(568\) −686468. + 211747.i −0.0892790 + 0.0275389i
\(569\) 145467. 1.94112e6i 0.0188358 0.251346i −0.979835 0.199807i \(-0.935968\pi\)
0.998671 0.0515386i \(-0.0164125\pi\)
\(570\) 846237. 3.70761e6i 0.109095 0.477976i
\(571\) −3.55937e6 9.06914e6i −0.456860 1.16406i −0.954906 0.296910i \(-0.904044\pi\)
0.498045 0.867151i \(-0.334051\pi\)
\(572\) 236338. + 3.15371e6i 0.0302026 + 0.403025i
\(573\) 7.31039e6 + 1.10186e6i 0.930152 + 0.140198i
\(574\) −436785. + 405277.i −0.0553334 + 0.0513419i
\(575\) 1.92478e6 926924.i 0.242779 0.116916i
\(576\) 1.71171e6 + 1.16703e6i 0.214968 + 0.146563i
\(577\) −3.39212e6 + 8.64298e6i −0.424162 + 1.08075i 0.545892 + 0.837856i \(0.316191\pi\)
−0.970054 + 0.242891i \(0.921904\pi\)
\(578\) 2.00203e6 + 617544.i 0.249259 + 0.0768861i
\(579\) 1.13158e7 + 1.04995e7i 1.40278 + 1.30159i
\(580\) −1.46704e6 1.83961e6i −0.181081 0.227068i
\(581\) −1.50552e6 1.88786e6i −0.185032 0.232022i
\(582\) 2.17069e6 + 2.01410e6i 0.265638 + 0.246476i
\(583\) 4.55336e6 + 1.40452e6i 0.554830 + 0.171143i
\(584\) −875828. + 2.23157e6i −0.106264 + 0.270757i
\(585\) −1.94217e6 1.32415e6i −0.234637 0.159973i
\(586\) −1.66282e6 + 800770.i −0.200032 + 0.0963305i
\(587\) −2.50421e6 + 2.32357e6i −0.299968 + 0.278330i −0.815768 0.578379i \(-0.803685\pi\)
0.515800 + 0.856709i \(0.327495\pi\)
\(588\) 4.00617e6 + 603833.i 0.477844 + 0.0720234i
\(589\) 405826. + 5.41538e6i 0.0482006 + 0.643192i
\(590\) −1.68277e6 4.28762e6i −0.199019 0.507091i
\(591\) 638765. 2.79861e6i 0.0752267 0.329590i
\(592\) −30195.0 + 402925.i −0.00354104 + 0.0472519i
\(593\) −2.60916e6 + 804819.i −0.304694 + 0.0939857i −0.443332 0.896357i \(-0.646204\pi\)
0.138638 + 0.990343i \(0.455728\pi\)
\(594\) −2.68836e6 1.29465e6i −0.312624 0.150552i
\(595\) −854207. 1.47953e6i −0.0989170 0.171329i
\(596\) 1.23604e6 2.14088e6i 0.142533 0.246874i
\(597\) 1.24983e7 8.52122e6i 1.43521 0.978512i
\(598\) 1.07830e6 + 4.72436e6i 0.123307 + 0.540244i
\(599\) −7.92513e6 + 1.19452e6i −0.902484 + 0.136028i −0.583861 0.811854i \(-0.698459\pi\)
−0.318623 + 0.947881i \(0.603221\pi\)
\(600\) −3.66719e6 + 4.59851e6i −0.415868 + 0.521482i
\(601\) 1.64641e7 1.85931 0.929654 0.368433i \(-0.120105\pi\)
0.929654 + 0.368433i \(0.120105\pi\)
\(602\) −1.13591e6 + 1.21103e6i −0.127748 + 0.136196i
\(603\) 462121. 0.0517562
\(604\) −3.00041e6 + 3.76240e6i −0.334648 + 0.419636i
\(605\) 3.99218e6 601725.i 0.443427 0.0668358i
\(606\) −2.86305e6 1.25438e7i −0.316699 1.38755i
\(607\) −7.81139e6 + 5.32572e6i −0.860512 + 0.586687i −0.911171 0.412029i \(-0.864820\pi\)
0.0506591 + 0.998716i \(0.483868\pi\)
\(608\) −3.31331e6 + 5.73883e6i −0.363499 + 0.629599i
\(609\) −1.24063e6 2.14884e6i −0.135550 0.234780i
\(610\) −4.10049e6 1.97469e6i −0.446181 0.214869i
\(611\) 5.05651e6 1.55973e6i 0.547959 0.169023i
\(612\) 101582. 1.35551e6i 0.0109632 0.146293i
\(613\) 2.05457e6 9.00168e6i 0.220836 0.967547i −0.736014 0.676966i \(-0.763294\pi\)
0.956850 0.290581i \(-0.0938486\pi\)
\(614\) 1.78126e6 + 4.53857e6i 0.190680 + 0.485845i
\(615\) 214674. + 2.86462e6i 0.0228871 + 0.305408i
\(616\) −1.45894e6 219900.i −0.154912 0.0233493i
\(617\) −1.12293e7 + 1.04193e7i −1.18752 + 1.10186i −0.194873 + 0.980829i \(0.562429\pi\)
−0.992649 + 0.121031i \(0.961380\pi\)
\(618\) 9.90388e6 4.76946e6i 1.04312 0.502340i
\(619\) 622411. + 424353.i 0.0652906 + 0.0445144i 0.595526 0.803336i \(-0.296944\pi\)
−0.530235 + 0.847851i \(0.677896\pi\)
\(620\) −787542. + 2.00663e6i −0.0822801 + 0.209646i
\(621\) 3.68012e6 + 1.13517e6i 0.382942 + 0.118122i
\(622\) 4.41208e6 + 4.09381e6i 0.457264 + 0.424279i
\(623\) 1.08957e6 + 1.36628e6i 0.112469 + 0.141032i
\(624\) −3.50990e6 4.40127e6i −0.360855 0.452498i
\(625\) 1.05508e6 + 978968.i 0.108040 + 0.100246i
\(626\) 2.63968e6 + 814234.i 0.269225 + 0.0830450i
\(627\) −2.05414e6 + 5.23386e6i −0.208670 + 0.531683i
\(628\) −5.53001e6 3.77030e6i −0.559534 0.381484i
\(629\) 1.47699e6 711279.i 0.148850 0.0716825i
\(630\) 252225. 234031.i 0.0253184 0.0234921i
\(631\) −6.84526e6 1.03176e6i −0.684410 0.103158i −0.202372 0.979309i \(-0.564865\pi\)
−0.482038 + 0.876150i \(0.660103\pi\)
\(632\) −1.07485e6 1.43429e7i −0.107043 1.42838i
\(633\) −3.57142e6 9.09984e6i −0.354268 0.902660i
\(634\) 2.83808e6 1.24344e7i 0.280415 1.22858i
\(635\) −382364. + 5.10229e6i −0.0376307 + 0.502147i
\(636\) 5.07668e6 1.56595e6i 0.497665 0.153509i
\(637\) −1.32565e7 6.38402e6i −1.29444 0.623369i
\(638\) −2.06493e6 3.57656e6i −0.200841 0.347867i
\(639\) −123844. + 214504.i −0.0119984 + 0.0207818i
\(640\) −761249. + 519011.i −0.0734644 + 0.0500872i
\(641\) 1.04696e6 + 4.58705e6i 0.100644 + 0.440949i 0.999993 + 0.00371803i \(0.00118349\pi\)
−0.899349 + 0.437231i \(0.855959\pi\)
\(642\) 6.25004e6 942042.i 0.598474 0.0902054i
\(643\) −8.78377e6 + 1.10145e7i −0.837826 + 1.05060i 0.160155 + 0.987092i \(0.448800\pi\)
−0.997981 + 0.0635085i \(0.979771\pi\)
\(644\) 597490. 0.0567696
\(645\) 1.15030e6 + 7.92190e6i 0.108871 + 0.749774i
\(646\) −7.98679e6 −0.752993
\(647\) −2.21812e6 + 2.78143e6i −0.208316 + 0.261220i −0.875003 0.484118i \(-0.839141\pi\)
0.666686 + 0.745338i \(0.267712\pi\)
\(648\) −1.36136e7 + 2.05192e6i −1.27361 + 0.191965i
\(649\) 1.51533e6 + 6.63908e6i 0.141219 + 0.618723i
\(650\) 5.53755e6 3.77544e6i 0.514085 0.350497i
\(651\) −1.13660e6 + 1.96864e6i −0.105112 + 0.182060i
\(652\) −2.68018e6 4.64221e6i −0.246914 0.427667i
\(653\) 4.46963e6 + 2.15246e6i 0.410193 + 0.197539i 0.627589 0.778545i \(-0.284042\pi\)
−0.217396 + 0.976084i \(0.569756\pi\)
\(654\) 5.72680e6 1.76649e6i 0.523562 0.161497i
\(655\) 1.05891e6 1.41301e7i 0.0964393 1.28689i
\(656\) −330887. + 1.44971e6i −0.0300206 + 0.131529i
\(657\) 301972. + 769413.i 0.0272931 + 0.0695418i
\(658\) 57883.5 + 772402.i 0.00521183 + 0.0695471i
\(659\) 2.68342e6 + 404461.i 0.240700 + 0.0362796i 0.268284 0.963340i \(-0.413543\pi\)
−0.0275844 + 0.999619i \(0.508782\pi\)
\(660\) −1.63605e6 + 1.51803e6i −0.146196 + 0.135650i
\(661\) 1.37956e7 6.64363e6i 1.22811 0.591428i 0.296553 0.955016i \(-0.404163\pi\)
0.931560 + 0.363588i \(0.118449\pi\)
\(662\) −2.02948e6 1.38367e6i −0.179986 0.122713i
\(663\) −8.34430e6 + 2.12609e7i −0.737235 + 1.87844i
\(664\) −1.36469e7 4.20952e6i −1.20120 0.370521i
\(665\) 1.24833e6 + 1.15828e6i 0.109465 + 0.101569i
\(666\) 205852. + 258131.i 0.0179833 + 0.0225504i
\(667\) 3.32341e6 + 4.16742e6i 0.289247 + 0.362705i
\(668\) 5.58436e6 + 5.18153e6i 0.484208 + 0.449280i
\(669\) 1.82600e7 + 5.63248e6i 1.57738 + 0.486558i
\(670\) 393766. 1.00330e6i 0.0338884 0.0863462i
\(671\) 5.55957e6 + 3.79045e6i 0.476689 + 0.325001i
\(672\) −2.49916e6 + 1.20353e6i −0.213486 + 0.102810i
\(673\) −8.40978e6 + 7.80313e6i −0.715726 + 0.664097i −0.951478 0.307716i \(-0.900435\pi\)
0.235752 + 0.971813i \(0.424245\pi\)
\(674\) −6.06436e6 914055.i −0.514204 0.0775037i
\(675\) −398048. 5.31158e6i −0.0336261 0.448709i
\(676\) −2.69376e6 6.86360e6i −0.226722 0.577677i
\(677\) −3.69321e6 + 1.61810e7i −0.309694 + 1.35686i 0.545309 + 0.838235i \(0.316412\pi\)
−0.855003 + 0.518623i \(0.826445\pi\)
\(678\) −176698. + 2.35788e6i −0.0147625 + 0.196991i
\(679\) −1.26707e6 + 390838.i −0.105469 + 0.0325329i
\(680\) −9.10369e6 4.38411e6i −0.754997 0.363588i
\(681\) −1.02356e7 1.77286e7i −0.845756 1.46489i
\(682\) −1.89177e6 + 3.27663e6i −0.155742 + 0.269753i
\(683\) −7.32251e6 + 4.99240e6i −0.600632 + 0.409504i −0.825107 0.564976i \(-0.808885\pi\)
0.224476 + 0.974480i \(0.427933\pi\)
\(684\) 301503. + 1.32097e6i 0.0246406 + 0.107957i
\(685\) 1.09870e6 165602.i 0.0894647 0.0134846i
\(686\) 2.77785e6 3.48332e6i 0.225371 0.282607i
\(687\) 2.24615e7 1.81571
\(688\) −639711. + 4.09399e6i −0.0515244 + 0.329743i
\(689\) −1.92943e7 −1.54839
\(690\) −2.13218e6 + 2.67366e6i −0.170491 + 0.213788i
\(691\) −417170. + 62878.2i −0.0332367 + 0.00500962i −0.165640 0.986186i \(-0.552969\pi\)
0.132403 + 0.991196i \(0.457731\pi\)
\(692\) −1.71746e6 7.52469e6i −0.136340 0.597342i
\(693\) −420309. + 286562.i −0.0332457 + 0.0226666i
\(694\) −8.96075e6 + 1.55205e7i −0.706229 + 1.22322i
\(695\) −4.49742e6 7.78976e6i −0.353184 0.611733i
\(696\) −1.32220e7 6.36739e6i −1.03460 0.498239i
\(697\) 5.76499e6 1.77826e6i 0.449487 0.138648i
\(698\) −971730. + 1.29668e7i −0.0754931 + 1.00739i
\(699\) −939536. + 4.11638e6i −0.0727311 + 0.318656i
\(700\) −301906. 769243.i −0.0232877 0.0593360i
\(701\) 835297. + 1.11463e7i 0.0642016 + 0.856711i 0.932616 + 0.360871i \(0.117521\pi\)
−0.868414 + 0.495840i \(0.834860\pi\)
\(702\) 1.19471e7 + 1.80073e6i 0.914995 + 0.137913i
\(703\) −1.19785e6 + 1.11144e6i −0.0914143 + 0.0848201i
\(704\) −6.43619e6 + 3.09950e6i −0.489437 + 0.235700i
\(705\) 3.08543e6 + 2.10361e6i 0.233799 + 0.159402i
\(706\) −1.37942e6 + 3.51469e6i −0.104156 + 0.265385i
\(707\) 5.50548e6 + 1.69822e6i 0.414235 + 0.127774i
\(708\) 5.56568e6 + 5.16420e6i 0.417287 + 0.387186i
\(709\) −1.49611e6 1.87606e6i −0.111776 0.140163i 0.722796 0.691061i \(-0.242856\pi\)
−0.834572 + 0.550899i \(0.814285\pi\)
\(710\) 360178. + 451649.i 0.0268146 + 0.0336245i
\(711\) −3.63527e6 3.37304e6i −0.269689 0.250235i
\(712\) 9.87651e6 + 3.04650e6i 0.730136 + 0.225217i
\(713\) 1.78409e6 4.54578e6i 0.131429 0.334876i
\(714\) −2.76229e6 1.88330e6i −0.202779 0.138253i
\(715\) 7.30272e6 3.51680e6i 0.534219 0.257266i
\(716\) 2.80791e6 2.60536e6i 0.204692 0.189927i
\(717\) −1.32597e7 1.99858e6i −0.963243 0.145186i
\(718\) −978031. 1.30509e7i −0.0708013 0.944778i
\(719\) 4.34565e6 + 1.10725e7i 0.313496 + 0.798776i 0.997590 + 0.0693819i \(0.0221027\pi\)
−0.684094 + 0.729394i \(0.739802\pi\)
\(720\) 191073. 837147.i 0.0137363 0.0601826i
\(721\) −367845. + 4.90855e6i −0.0263528 + 0.351653i
\(722\) −2.25360e6 + 695143.i −0.160892 + 0.0496285i
\(723\) 7.12128e6 + 3.42943e6i 0.506655 + 0.243992i
\(724\) −4.79303e6 8.30177e6i −0.339831 0.588605i
\(725\) 3.68610e6 6.38451e6i 0.260448 0.451110i
\(726\) 6.52776e6 4.45055e6i 0.459645 0.313381i
\(727\) −3.79992e6 1.66485e7i −0.266648 1.16826i −0.913885 0.405972i \(-0.866933\pi\)
0.647238 0.762288i \(-0.275924\pi\)
\(728\) 5.90744e6 890403.i 0.413115 0.0622670i
\(729\) 5.30660e6 6.65426e6i 0.369826 0.463747i
\(730\) 1.92776e6 0.133889
\(731\) 1.56825e7 6.05736e6i 1.08548 0.419266i
\(732\) 7.50212e6 0.517495
\(733\) −3.18362e6 + 3.99214e6i −0.218858 + 0.274439i −0.879124 0.476592i \(-0.841872\pi\)
0.660267 + 0.751031i \(0.270443\pi\)
\(734\) −1.37772e7 + 2.07658e6i −0.943890 + 0.142268i
\(735\) −2.31055e6 1.01232e7i −0.157760 0.691191i
\(736\) 4.92346e6 3.35676e6i 0.335024 0.228416i
\(737\) −796745. + 1.38000e6i −0.0540319 + 0.0935860i
\(738\) 607526. + 1.05227e6i 0.0410605 + 0.0711189i
\(739\) 2.38796e7 + 1.14998e7i 1.60848 + 0.774603i 0.999823 0.0188301i \(-0.00599416\pi\)
0.608657 + 0.793433i \(0.291708\pi\)
\(740\) −619815. + 191188.i −0.0416086 + 0.0128345i
\(741\) 1.70133e6 2.27026e7i 0.113826 1.51891i
\(742\) 628453. 2.75343e6i 0.0419047 0.183596i
\(743\) −3.05528e6 7.78473e6i −0.203039 0.517335i 0.792694 0.609620i \(-0.208678\pi\)
−0.995733 + 0.0922854i \(0.970583\pi\)
\(744\) 1.00472e6 + 1.34071e7i 0.0665447 + 0.887978i
\(745\) −6.26498e6 944293.i −0.413551 0.0623327i
\(746\) 1.01187e7 9.38878e6i 0.665699 0.617678i
\(747\) −4.43638e6 + 2.13645e6i −0.290889 + 0.140085i
\(748\) 3.87274e6 + 2.64039e6i 0.253084 + 0.172550i
\(749\) −1.03403e6 + 2.63466e6i −0.0673485 + 0.171601i
\(750\) 1.27362e7 + 3.92860e6i 0.826775 + 0.255026i
\(751\) −6.40457e6 5.94257e6i −0.414371 0.384480i 0.445255 0.895404i \(-0.353113\pi\)
−0.859626 + 0.510923i \(0.829304\pi\)
\(752\) 1.20522e6 + 1.51129e6i 0.0777177 + 0.0974550i
\(753\) −1.05137e6 1.31838e6i −0.0675722 0.0847329i
\(754\) 1.22583e7 + 1.13741e7i 0.785240 + 0.728596i
\(755\) 1.17856e7 + 3.63538e6i 0.752462 + 0.232104i
\(756\) 544250.