Properties

Label 43.7.h.a.19.13
Level $43$
Weight $7$
Character 43.19
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 19.13
Character \(\chi\) \(=\) 43.19
Dual form 43.7.h.a.34.13

$q$-expansion

\(f(q)\) \(=\) \(q+(3.14235 + 2.50594i) q^{2} +(2.73114 + 18.1199i) q^{3} +(-10.6467 - 46.6463i) q^{4} +(-26.7382 - 39.2177i) q^{5} +(-36.8253 + 63.7833i) q^{6} +(258.095 - 149.011i) q^{7} +(195.045 - 405.015i) q^{8} +(375.740 - 115.900i) q^{9} +O(q^{10})\) \(q+(3.14235 + 2.50594i) q^{2} +(2.73114 + 18.1199i) q^{3} +(-10.6467 - 46.6463i) q^{4} +(-26.7382 - 39.2177i) q^{5} +(-36.8253 + 63.7833i) q^{6} +(258.095 - 149.011i) q^{7} +(195.045 - 405.015i) q^{8} +(375.740 - 115.900i) q^{9} +(14.2565 - 190.240i) q^{10} +(153.595 - 672.945i) q^{11} +(816.150 - 320.315i) q^{12} +(103.298 + 1378.42i) q^{13} +(1184.44 + 178.526i) q^{14} +(637.596 - 591.603i) q^{15} +(-1131.05 + 544.683i) q^{16} +(6688.31 + 4560.01i) q^{17} +(1471.15 + 577.382i) q^{18} +(2978.54 - 9656.19i) q^{19} +(-1544.69 + 1664.78i) q^{20} +(3404.97 + 4269.70i) q^{21} +(2169.01 - 1729.73i) q^{22} +(-15407.7 - 14296.3i) q^{23} +(7871.54 + 2428.05i) q^{24} +(4885.36 - 12447.7i) q^{25} +(-3129.64 + 4590.33i) q^{26} +(8922.40 + 18527.6i) q^{27} +(-9698.70 - 10452.7i) q^{28} +(1922.00 - 12751.6i) q^{29} +(3486.07 - 261.245i) q^{30} +(19541.0 + 49789.6i) q^{31} +(-32967.9 - 7524.70i) q^{32} +(12613.2 + 945.229i) q^{33} +(9589.89 + 31089.6i) q^{34} +(-12744.9 - 6137.61i) q^{35} +(-9406.72 - 16292.9i) q^{36} +(-65259.9 - 37677.8i) q^{37} +(33557.5 - 22879.1i) q^{38} +(-24694.7 + 5636.41i) q^{39} +(-21098.9 + 3180.15i) q^{40} +(-30346.0 + 38052.7i) q^{41} +21949.5i q^{42} +(845.497 + 79502.5i) q^{43} -33025.7 q^{44} +(-14591.9 - 11636.7i) q^{45} +(-12590.9 - 83534.9i) q^{46} +(-18315.1 - 80243.5i) q^{47} +(-12958.7 - 19006.9i) q^{48} +(-14415.7 + 24968.7i) q^{49} +(46544.7 - 26872.6i) q^{50} +(-64360.4 + 133646. i) q^{51} +(63198.3 - 19494.1i) q^{52} +(-7953.49 + 106132. i) q^{53} +(-18391.6 + 80579.1i) q^{54} +(-30498.2 + 11969.7i) q^{55} +(-10011.7 - 133596. i) q^{56} +(183104. + 27598.5i) q^{57} +(37994.4 - 35253.7i) q^{58} +(61156.2 - 29451.3i) q^{59} +(-34384.4 - 23442.9i) q^{60} +(63390.8 + 24879.1i) q^{61} +(-63365.2 + 205425. i) q^{62} +(79706.2 - 85902.9i) q^{63} +(-34646.8 - 43445.7i) q^{64} +(51296.4 - 40907.5i) q^{65} +(37266.4 + 34578.2i) q^{66} +(362774. + 111901. i) q^{67} +(141499. - 360534. i) q^{68} +(216967. - 318233. i) q^{69} +(-24668.4 - 51224.4i) q^{70} +(98891.6 + 106580. i) q^{71} +(26344.8 - 174786. i) q^{72} +(-112763. + 8450.43i) q^{73} +(-110651. - 281934. i) q^{74} +(238894. + 54525.9i) q^{75} +(-482137. - 36131.2i) q^{76} +(-60634.2 - 196571. i) q^{77} +(-91724.0 - 44171.9i) q^{78} +(367327. + 636230. i) q^{79} +(51603.3 + 29793.2i) q^{80} +(-74508.9 + 50799.3i) q^{81} +(-190715. + 43529.5i) q^{82} +(-234225. + 35303.8i) q^{83} +(162914. - 204288. i) q^{84} -384226. i q^{85} +(-196572. + 251943. i) q^{86} +236308. q^{87} +(-242595. - 193463. i) q^{88} +(201530. + 1.33707e6i) q^{89} +(-16692.1 - 73133.1i) q^{90} +(232061. + 340371. i) q^{91} +(-502828. + 870923. i) q^{92} +(-848815. + 490064. i) q^{93} +(143533. - 298050. i) q^{94} +(-458334. + 141377. i) q^{95} +(46307.2 - 617927. i) q^{96} +(175666. - 769643. i) q^{97} +(-107869. + 42335.5i) q^{98} +(-20282.7 - 270654. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{19}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.14235 + 2.50594i 0.392794 + 0.313243i 0.799894 0.600141i \(-0.204889\pi\)
−0.407101 + 0.913383i \(0.633460\pi\)
\(3\) 2.73114 + 18.1199i 0.101153 + 0.671109i 0.980732 + 0.195356i \(0.0625862\pi\)
−0.879579 + 0.475753i \(0.842176\pi\)
\(4\) −10.6467 46.6463i −0.166355 0.728848i
\(5\) −26.7382 39.2177i −0.213905 0.313741i 0.704258 0.709945i \(-0.251280\pi\)
−0.918163 + 0.396203i \(0.870328\pi\)
\(6\) −36.8253 + 63.7833i −0.170487 + 0.295293i
\(7\) 258.095 149.011i 0.752465 0.434436i −0.0741191 0.997249i \(-0.523614\pi\)
0.826584 + 0.562814i \(0.190281\pi\)
\(8\) 195.045 405.015i 0.380947 0.791045i
\(9\) 375.740 115.900i 0.515418 0.158985i
\(10\) 14.2565 190.240i 0.0142565 0.190240i
\(11\) 153.595 672.945i 0.115398 0.505593i −0.883884 0.467707i \(-0.845080\pi\)
0.999282 0.0378865i \(-0.0120625\pi\)
\(12\) 816.150 320.315i 0.472309 0.185368i
\(13\) 103.298 + 1378.42i 0.0470178 + 0.627409i 0.970084 + 0.242769i \(0.0780556\pi\)
−0.923066 + 0.384641i \(0.874325\pi\)
\(14\) 1184.44 + 178.526i 0.431647 + 0.0650603i
\(15\) 637.596 591.603i 0.188917 0.175290i
\(16\) −1131.05 + 544.683i −0.276134 + 0.132979i
\(17\) 6688.31 + 4560.01i 1.36135 + 0.928152i 0.999991 0.00427554i \(-0.00136095\pi\)
0.361358 + 0.932427i \(0.382313\pi\)
\(18\) 1471.15 + 577.382i 0.252254 + 0.0990024i
\(19\) 2978.54 9656.19i 0.434253 1.40781i −0.429120 0.903247i \(-0.641176\pi\)
0.863373 0.504566i \(-0.168348\pi\)
\(20\) −1544.69 + 1664.78i −0.193086 + 0.208097i
\(21\) 3404.97 + 4269.70i 0.367668 + 0.461041i
\(22\) 2169.01 1729.73i 0.203701 0.162446i
\(23\) −15407.7 14296.3i −1.26636 1.17501i −0.975924 0.218110i \(-0.930011\pi\)
−0.290431 0.956896i \(-0.593799\pi\)
\(24\) 7871.54 + 2428.05i 0.569411 + 0.175640i
\(25\) 4885.36 12447.7i 0.312663 0.796652i
\(26\) −3129.64 + 4590.33i −0.178063 + 0.261170i
\(27\) 8922.40 + 18527.6i 0.453305 + 0.941297i
\(28\) −9698.70 10452.7i −0.441814 0.476162i
\(29\) 1922.00 12751.6i 0.0788059 0.522843i −0.914245 0.405161i \(-0.867215\pi\)
0.993051 0.117682i \(-0.0375464\pi\)
\(30\) 3486.07 261.245i 0.129114 0.00967574i
\(31\) 19541.0 + 49789.6i 0.655936 + 1.67130i 0.738111 + 0.674679i \(0.235718\pi\)
−0.0821752 + 0.996618i \(0.526187\pi\)
\(32\) −32967.9 7524.70i −1.00610 0.229636i
\(33\) 12613.2 + 945.229i 0.350981 + 0.0263024i
\(34\) 9589.89 + 31089.6i 0.243993 + 0.791005i
\(35\) −12744.9 6137.61i −0.297257 0.143151i
\(36\) −9406.72 16292.9i −0.201619 0.349214i
\(37\) −65259.9 37677.8i −1.28837 0.743842i −0.310008 0.950734i \(-0.600332\pi\)
−0.978364 + 0.206892i \(0.933665\pi\)
\(38\) 33557.5 22879.1i 0.611559 0.416954i
\(39\) −24694.7 + 5636.41i −0.416304 + 0.0950186i
\(40\) −21098.9 + 3180.15i −0.329670 + 0.0496898i
\(41\) −30346.0 + 38052.7i −0.440301 + 0.552120i −0.951623 0.307270i \(-0.900585\pi\)
0.511322 + 0.859389i \(0.329156\pi\)
\(42\) 21949.5i 0.296263i
\(43\) 845.497 + 79502.5i 0.0106343 + 0.999943i
\(44\) −33025.7 −0.387698
\(45\) −14591.9 11636.7i −0.160131 0.127700i
\(46\) −12590.9 83534.9i −0.129355 0.858212i
\(47\) −18315.1 80243.5i −0.176407 0.772888i −0.983271 0.182151i \(-0.941694\pi\)
0.806864 0.590737i \(-0.201163\pi\)
\(48\) −12958.7 19006.9i −0.117175 0.171865i
\(49\) −14415.7 + 24968.7i −0.122531 + 0.212230i
\(50\) 46544.7 26872.6i 0.372357 0.214981i
\(51\) −64360.4 + 133646.i −0.485186 + 1.00750i
\(52\) 63198.3 19494.1i 0.449465 0.138641i
\(53\) −7953.49 + 106132.i −0.0534232 + 0.712883i 0.904613 + 0.426235i \(0.140160\pi\)
−0.958036 + 0.286649i \(0.907459\pi\)
\(54\) −18391.6 + 80579.1i −0.116799 + 0.511730i
\(55\) −30498.2 + 11969.7i −0.183310 + 0.0719438i
\(56\) −10011.7 133596.i −0.0570089 0.760731i
\(57\) 183104. + 27598.5i 0.988722 + 0.149026i
\(58\) 37994.4 35253.7i 0.194731 0.180684i
\(59\) 61156.2 29451.3i 0.297773 0.143400i −0.279032 0.960282i \(-0.590014\pi\)
0.576805 + 0.816882i \(0.304299\pi\)
\(60\) −34384.4 23442.9i −0.159187 0.108532i
\(61\) 63390.8 + 24879.1i 0.279278 + 0.109609i 0.500846 0.865536i \(-0.333022\pi\)
−0.221568 + 0.975145i \(0.571117\pi\)
\(62\) −63365.2 + 205425.i −0.265874 + 0.861942i
\(63\) 79706.2 85902.9i 0.318765 0.343547i
\(64\) −34646.8 43445.7i −0.132167 0.165732i
\(65\) 51296.4 40907.5i 0.186787 0.148958i
\(66\) 37266.4 + 34578.2i 0.129624 + 0.120274i
\(67\) 362774. + 111901.i 1.20618 + 0.372057i 0.831724 0.555189i \(-0.187354\pi\)
0.374454 + 0.927246i \(0.377830\pi\)
\(68\) 141499. 360534.i 0.450015 1.14662i
\(69\) 216967. 318233.i 0.660461 0.968718i
\(70\) −24668.4 51224.4i −0.0719195 0.149342i
\(71\) 98891.6 + 106580.i 0.276302 + 0.297783i 0.855923 0.517104i \(-0.172990\pi\)
−0.579621 + 0.814886i \(0.696799\pi\)
\(72\) 26344.8 174786.i 0.0705825 0.468284i
\(73\) −112763. + 8450.43i −0.289867 + 0.0217225i −0.218870 0.975754i \(-0.570237\pi\)
−0.0709969 + 0.997477i \(0.522618\pi\)
\(74\) −110651. 281934.i −0.273061 0.695749i
\(75\) 238894. + 54525.9i 0.566267 + 0.129247i
\(76\) −482137. 36131.2i −1.09832 0.0823079i
\(77\) −60634.2 196571.i −0.132815 0.430574i
\(78\) −91724.0 44171.9i −0.193285 0.0930814i
\(79\) 367327. + 636230.i 0.745027 + 1.29042i 0.950182 + 0.311695i \(0.100897\pi\)
−0.205155 + 0.978730i \(0.565770\pi\)
\(80\) 51603.3 + 29793.2i 0.100788 + 0.0581898i
\(81\) −74508.9 + 50799.3i −0.140202 + 0.0955879i
\(82\) −190715. + 43529.5i −0.345895 + 0.0789483i
\(83\) −234225. + 35303.8i −0.409637 + 0.0617428i −0.350628 0.936515i \(-0.614032\pi\)
−0.0590085 + 0.998257i \(0.518794\pi\)
\(84\) 162914. 204288.i 0.274866 0.344671i
\(85\) 384226.i 0.625648i
\(86\) −196572. + 251943.i −0.309048 + 0.396103i
\(87\) 236308. 0.358856
\(88\) −242595. 193463.i −0.355986 0.283890i
\(89\) 201530. + 1.33707e6i 0.285871 + 1.89663i 0.423087 + 0.906089i \(0.360946\pi\)
−0.137216 + 0.990541i \(0.543816\pi\)
\(90\) −16692.1 73133.1i −0.0228973 0.100320i
\(91\) 232061. + 340371.i 0.307948 + 0.451677i
\(92\) −502828. + 870923.i −0.645737 + 1.11845i
\(93\) −848815. + 490064.i −1.05527 + 0.609261i
\(94\) 143533. 298050.i 0.172810 0.358844i
\(95\) −458334. + 141377.i −0.534579 + 0.164896i
\(96\) 46307.2 617927.i 0.0523401 0.698430i
\(97\) 175666. 769643.i 0.192474 0.843284i −0.782798 0.622276i \(-0.786208\pi\)
0.975272 0.221008i \(-0.0709347\pi\)
\(98\) −107869. + 42335.5i −0.114609 + 0.0449808i
\(99\) −20282.7 270654.i −0.0209036 0.278939i
\(100\) −632651. 95356.9i −0.632651 0.0953569i
\(101\) −823426. + 764028.i −0.799210 + 0.741558i −0.969831 0.243779i \(-0.921613\pi\)
0.170621 + 0.985337i \(0.445422\pi\)
\(102\) −537151. + 258678.i −0.506169 + 0.243758i
\(103\) 471899. + 321735.i 0.431854 + 0.294433i 0.759670 0.650308i \(-0.225360\pi\)
−0.327816 + 0.944742i \(0.606313\pi\)
\(104\) 578428. + 227016.i 0.514221 + 0.201817i
\(105\) 76405.0 247699.i 0.0660015 0.213972i
\(106\) −290953. + 313573.i −0.244290 + 0.263282i
\(107\) −1.15707e6 1.45092e6i −0.944513 1.18438i −0.982717 0.185112i \(-0.940735\pi\)
0.0382044 0.999270i \(-0.487836\pi\)
\(108\) 769248. 613454.i 0.610654 0.486980i
\(109\) 126959. + 117800.i 0.0980353 + 0.0909635i 0.727668 0.685929i \(-0.240604\pi\)
−0.629633 + 0.776893i \(0.716795\pi\)
\(110\) −125831. 38813.8i −0.0945389 0.0291614i
\(111\) 504486. 1.28541e6i 0.368875 0.939879i
\(112\) −210754. + 309119.i −0.150010 + 0.220025i
\(113\) −629437. 1.30704e6i −0.436231 0.905844i −0.996965 0.0778478i \(-0.975195\pi\)
0.560734 0.827996i \(-0.310519\pi\)
\(114\) 506218. + 545573.i 0.341683 + 0.368246i
\(115\) −148693. + 986513.i −0.0977680 + 0.648648i
\(116\) −615279. + 46108.8i −0.394183 + 0.0295400i
\(117\) 198572. + 505954.i 0.123983 + 0.315903i
\(118\) 265978. + 60707.6i 0.161882 + 0.0369485i
\(119\) 2.40571e6 + 180283.i 1.42759 + 0.106983i
\(120\) −115248. 373625.i −0.0666945 0.216218i
\(121\) 1.16686e6 + 561929.i 0.658661 + 0.317194i
\(122\) 136851. + 237032.i 0.0753647 + 0.130535i
\(123\) −772391. 445940.i −0.415070 0.239641i
\(124\) 2.11445e6 1.44161e6i 1.10900 0.756106i
\(125\) −1.34185e6 + 306268.i −0.687025 + 0.156809i
\(126\) 465732. 70197.9i 0.232822 0.0350923i
\(127\) −909809. + 1.14086e6i −0.444160 + 0.556958i −0.952634 0.304119i \(-0.901638\pi\)
0.508475 + 0.861077i \(0.330210\pi\)
\(128\) 1.94086e6i 0.925474i
\(129\) −1.43827e6 + 232453.i −0.669995 + 0.108284i
\(130\) 263703. 0.120029
\(131\) 598306. + 477133.i 0.266139 + 0.212239i 0.747462 0.664304i \(-0.231272\pi\)
−0.481323 + 0.876543i \(0.659844\pi\)
\(132\) −90197.7 598423.i −0.0392169 0.260187i
\(133\) −670136. 2.93606e6i −0.284844 1.24799i
\(134\) 859545. + 1.26072e6i 0.357235 + 0.523968i
\(135\) 488039. 845309.i 0.198360 0.343569i
\(136\) 3.15139e6 1.81946e6i 1.25281 0.723311i
\(137\) −687207. + 1.42700e6i −0.267255 + 0.554960i −0.990803 0.135314i \(-0.956796\pi\)
0.723548 + 0.690274i \(0.242510\pi\)
\(138\) 1.47926e6 456291.i 0.562868 0.173622i
\(139\) 104988. 1.40096e6i 0.0390925 0.521654i −0.942943 0.332955i \(-0.891954\pi\)
0.982035 0.188698i \(-0.0604268\pi\)
\(140\) −150606. + 659847.i −0.0548855 + 0.240469i
\(141\) 1.40399e6 551024.i 0.500847 0.196568i
\(142\) 43669.4 + 582727.i 0.0152515 + 0.203517i
\(143\) 943465. + 142205.i 0.322640 + 0.0486301i
\(144\) −361850. + 335748.i −0.121183 + 0.112441i
\(145\) −551480. + 265579.i −0.180895 + 0.0871143i
\(146\) −375518. 256024.i −0.120662 0.0822662i
\(147\) −491802. 193018.i −0.154824 0.0607640i
\(148\) −1.06273e6 + 3.44528e6i −0.327821 + 1.06277i
\(149\) 11906.7 12832.3i 0.00359941 0.00387925i −0.731250 0.682110i \(-0.761063\pi\)
0.734849 + 0.678231i \(0.237253\pi\)
\(150\) 614049. + 769993.i 0.181941 + 0.228146i
\(151\) 1.54342e6 1.23083e6i 0.448283 0.357494i −0.373177 0.927760i \(-0.621731\pi\)
0.821460 + 0.570266i \(0.193160\pi\)
\(152\) −3.32996e6 3.08975e6i −0.948217 0.879817i
\(153\) 3.04157e6 + 938200.i 0.849226 + 0.261952i
\(154\) 302062. 769642.i 0.0827055 0.210730i
\(155\) 1.43014e6 2.09763e6i 0.384047 0.563294i
\(156\) 525835. + 1.09191e6i 0.138508 + 0.287616i
\(157\) 916263. + 987496.i 0.236767 + 0.255174i 0.840247 0.542204i \(-0.182410\pi\)
−0.603480 + 0.797378i \(0.706220\pi\)
\(158\) −440083. + 2.91976e6i −0.111574 + 0.740245i
\(159\) −1.94483e6 + 145745.i −0.483826 + 0.0362577i
\(160\) 586399. + 1.49412e6i 0.143164 + 0.364775i
\(161\) −6.10698e6 1.39388e6i −1.46335 0.334001i
\(162\) −361433. 27085.7i −0.0850125 0.00637081i
\(163\) −1.41364e6 4.58291e6i −0.326419 1.05823i −0.958923 0.283668i \(-0.908449\pi\)
0.632503 0.774558i \(-0.282028\pi\)
\(164\) 2.09810e6 + 1.01039e6i 0.475658 + 0.229065i
\(165\) −300184. 519934.i −0.0668245 0.115743i
\(166\) −824486. 476017.i −0.180243 0.104064i
\(167\) −7.24065e6 + 4.93659e6i −1.55463 + 1.05993i −0.586357 + 0.810053i \(0.699438\pi\)
−0.968277 + 0.249879i \(0.919609\pi\)
\(168\) 2.39342e6 546282.i 0.504766 0.115210i
\(169\) 2.88353e6 434622.i 0.597399 0.0900434i
\(170\) 962848. 1.20737e6i 0.195980 0.245751i
\(171\) 3.97343e6i 0.794652i
\(172\) 3.69950e6 885880.i 0.727038 0.174096i
\(173\) −6.63960e6 −1.28234 −0.641170 0.767399i \(-0.721551\pi\)
−0.641170 + 0.767399i \(0.721551\pi\)
\(174\) 742562. + 592173.i 0.140956 + 0.112409i
\(175\) −593959. 3.94066e6i −0.110826 0.735284i
\(176\) 192818. + 844792.i 0.0353680 + 0.154957i
\(177\) 700682. + 1.02771e6i 0.126357 + 0.185332i
\(178\) −2.71733e6 + 4.70655e6i −0.481817 + 0.834531i
\(179\) −505247. + 291705.i −0.0880937 + 0.0508609i −0.543400 0.839474i \(-0.682863\pi\)
0.455306 + 0.890335i \(0.349530\pi\)
\(180\) −387452. + 804552.i −0.0664355 + 0.137955i
\(181\) 4.85535e6 1.49768e6i 0.818814 0.252571i 0.143075 0.989712i \(-0.454301\pi\)
0.675739 + 0.737141i \(0.263825\pi\)
\(182\) −123732. + 1.65110e6i −0.0205244 + 0.273878i
\(183\) −277678. + 1.21659e6i −0.0453094 + 0.198513i
\(184\) −8.79542e6 + 3.45195e6i −1.41190 + 0.554129i
\(185\) 267293. + 3.56678e6i 0.0422155 + 0.563327i
\(186\) −3.89535e6 587129.i −0.605351 0.0912420i
\(187\) 4.09593e6 3.80046e6i 0.626365 0.581182i
\(188\) −3.54807e6 + 1.70866e6i −0.533972 + 0.257147i
\(189\) 5.06365e6 + 3.45234e6i 0.750029 + 0.511361i
\(190\) −1.79453e6 704301.i −0.261631 0.102683i
\(191\) −1.37999e6 + 4.47381e6i −0.198050 + 0.642063i 0.801007 + 0.598655i \(0.204298\pi\)
−0.999057 + 0.0434081i \(0.986178\pi\)
\(192\) 692608. 746454.i 0.0978552 0.105463i
\(193\) −6.14908e6 7.71070e6i −0.855339 1.07256i −0.996584 0.0825860i \(-0.973682\pi\)
0.141245 0.989975i \(-0.454889\pi\)
\(194\) 2.48068e6 1.97828e6i 0.339755 0.270946i
\(195\) 881339. + 817763.i 0.118861 + 0.110287i
\(196\) 1.31818e6 + 406604.i 0.175067 + 0.0540012i
\(197\) −1.94510e6 + 4.95602e6i −0.254415 + 0.648238i −0.999831 0.0183605i \(-0.994155\pi\)
0.745417 + 0.666599i \(0.232251\pi\)
\(198\) 614507. 901316.i 0.0791647 0.116113i
\(199\) 2.88253e6 + 5.98564e6i 0.365776 + 0.759541i 0.999906 0.0136846i \(-0.00435608\pi\)
−0.634130 + 0.773226i \(0.718642\pi\)
\(200\) −4.08864e6 4.40650e6i −0.511080 0.550813i
\(201\) −1.03685e6 + 6.87905e6i −0.127682 + 0.847111i
\(202\) −4.50210e6 + 337386.i −0.546212 + 0.0409329i
\(203\) −1.40408e6 3.57754e6i −0.167843 0.427657i
\(204\) 6.91930e6 + 1.57929e6i 0.815027 + 0.186025i
\(205\) 2.30373e6 + 172641.i 0.267406 + 0.0200393i
\(206\) 676622. + 2.19355e6i 0.0774006 + 0.250927i
\(207\) −7.44625e6 3.58592e6i −0.839511 0.404287i
\(208\) −867636. 1.50279e6i −0.0964157 0.166997i
\(209\) −6.04059e6 3.48754e6i −0.661669 0.382015i
\(210\) 860810. 586891.i 0.0929501 0.0633723i
\(211\) 1.09169e7 2.49171e6i 1.16212 0.265247i 0.402381 0.915472i \(-0.368183\pi\)
0.759741 + 0.650225i \(0.225326\pi\)
\(212\) 5.03534e6 758955.i 0.528471 0.0796542i
\(213\) −1.66113e6 + 2.08299e6i −0.171896 + 0.215550i
\(214\) 7.45884e6i 0.761080i
\(215\) 3.09530e6 2.15891e6i 0.311449 0.217230i
\(216\) 9.24421e6 0.917294
\(217\) 1.24627e7 + 9.93864e6i 1.21964 + 0.972630i
\(218\) 103748. + 688321.i 0.0100140 + 0.0664387i
\(219\) −461093. 2.02018e6i −0.0438992 0.192335i
\(220\) 883046. + 1.29519e6i 0.0829307 + 0.121637i
\(221\) −5.59471e6 + 9.69032e6i −0.518323 + 0.897763i
\(222\) 4.80643e6 2.77499e6i 0.439302 0.253631i
\(223\) 8.63314e6 1.79269e7i 0.778492 1.61656i −0.00878913 0.999961i \(-0.502798\pi\)
0.787281 0.616594i \(-0.211488\pi\)
\(224\) −9.63012e6 + 2.97050e6i −0.856816 + 0.264293i
\(225\) 392931. 5.24330e6i 0.0344960 0.460318i
\(226\) 1.29745e6 5.68451e6i 0.112400 0.492456i
\(227\) 1.93943e7 7.61172e6i 1.65805 0.650737i 0.662864 0.748740i \(-0.269341\pi\)
0.995186 + 0.0980034i \(0.0312456\pi\)
\(228\) −662090. 8.83498e6i −0.0558615 0.745420i
\(229\) −1.70334e7 2.56737e6i −1.41839 0.213787i −0.605331 0.795974i \(-0.706959\pi\)
−0.813055 + 0.582186i \(0.802197\pi\)
\(230\) −2.93939e6 + 2.72735e6i −0.241587 + 0.224160i
\(231\) 3.39626e6 1.63555e6i 0.275527 0.132687i
\(232\) −4.78973e6 3.26558e6i −0.383572 0.261515i
\(233\) 1.10634e7 + 4.34206e6i 0.874622 + 0.343264i 0.759827 0.650125i \(-0.225284\pi\)
0.114795 + 0.993389i \(0.463379\pi\)
\(234\) −643907. + 2.08750e6i −0.0502546 + 0.162921i
\(235\) −2.65725e6 + 2.86384e6i −0.204753 + 0.220671i
\(236\) −2.02491e6 2.53915e6i −0.154053 0.193176i
\(237\) −1.05252e7 + 8.39358e6i −0.790653 + 0.630525i
\(238\) 7.10782e6 + 6.59509e6i 0.527236 + 0.489204i
\(239\) 5.41091e6 + 1.66904e6i 0.396348 + 0.122257i 0.486521 0.873669i \(-0.338266\pi\)
−0.0901729 + 0.995926i \(0.528742\pi\)
\(240\) −398915. + 1.01642e6i −0.0288567 + 0.0735256i
\(241\) 1.77132e6 2.59805e6i 0.126545 0.185608i −0.757738 0.652559i \(-0.773695\pi\)
0.884283 + 0.466952i \(0.154648\pi\)
\(242\) 2.25852e6 + 4.68986e6i 0.159359 + 0.330913i
\(243\) 9.07262e6 + 9.77796e6i 0.632286 + 0.681443i
\(244\) 485613. 3.22183e6i 0.0334288 0.221785i
\(245\) 1.36466e6 102267.i 0.0927956 0.00695407i
\(246\) −1.30962e6 3.33686e6i −0.0879713 0.224147i
\(247\) 1.36180e7 + 3.10821e6i 0.903693 + 0.206262i
\(248\) 2.39769e7 + 1.79682e6i 1.57195 + 0.117801i
\(249\) −1.27940e6 4.14772e6i −0.0828723 0.268665i
\(250\) −4.98404e6 2.40019e6i −0.318978 0.153612i
\(251\) −3.80118e6 6.58384e6i −0.240380 0.416350i 0.720443 0.693514i \(-0.243939\pi\)
−0.960822 + 0.277165i \(0.910605\pi\)
\(252\) −4.85566e6 2.80342e6i −0.303422 0.175181i
\(253\) −1.19872e7 + 8.17272e6i −0.740211 + 0.504667i
\(254\) −5.71788e6 + 1.30507e6i −0.348926 + 0.0796401i
\(255\) 6.96215e6 1.04938e6i 0.419878 0.0632864i
\(256\) −7.08108e6 + 8.87939e6i −0.422065 + 0.529253i
\(257\) 1.73500e7i 1.02212i 0.859546 + 0.511059i \(0.170747\pi\)
−0.859546 + 0.511059i \(0.829253\pi\)
\(258\) −5.10206e6 2.87377e6i −0.297089 0.167338i
\(259\) −2.24577e7 −1.29261
\(260\) −2.45432e6 1.95726e6i −0.139640 0.111360i
\(261\) −755747. 5.01405e6i −0.0425064 0.282012i
\(262\) 684419. + 2.99864e6i 0.0380556 + 0.166732i
\(263\) −1.03977e6 1.52507e6i −0.0571573 0.0838343i 0.796596 0.604512i \(-0.206632\pi\)
−0.853753 + 0.520678i \(0.825679\pi\)
\(264\) 2.84297e6 4.92418e6i 0.154512 0.267622i
\(265\) 4.37491e6 2.52586e6i 0.235089 0.135728i
\(266\) 5.25178e6 1.09054e7i 0.279037 0.579426i
\(267\) −2.36771e7 + 7.30343e6i −1.24393 + 0.383701i
\(268\) 1.35741e6 1.81134e7i 0.0705193 0.941015i
\(269\) −1.72943e6 + 7.57715e6i −0.0888479 + 0.389268i −0.999726 0.0234074i \(-0.992549\pi\)
0.910878 + 0.412676i \(0.135406\pi\)
\(270\) 3.65188e6 1.43326e6i 0.185535 0.0728171i
\(271\) −283678. 3.78542e6i −0.0142534 0.190198i −0.999786 0.0207097i \(-0.993407\pi\)
0.985532 0.169489i \(-0.0542116\pi\)
\(272\) −1.00485e7 1.51457e6i −0.499340 0.0752634i
\(273\) −5.53370e6 + 5.13453e6i −0.271974 + 0.252355i
\(274\) −5.73542e6 + 2.76203e6i −0.278813 + 0.134269i
\(275\) −7.62624e6 5.19948e6i −0.366701 0.250013i
\(276\) −1.71544e7 6.73259e6i −0.815919 0.320225i
\(277\) −5.68203e6 + 1.84207e7i −0.267340 + 0.866695i 0.717993 + 0.696051i \(0.245061\pi\)
−0.985333 + 0.170644i \(0.945415\pi\)
\(278\) 3.84064e6 4.13922e6i 0.178759 0.192657i
\(279\) 1.31130e7 + 1.64431e7i 0.603793 + 0.757133i
\(280\) −4.97165e6 + 3.96476e6i −0.226478 + 0.180610i
\(281\) −2.30144e7 2.13543e7i −1.03724 0.962423i −0.0379244 0.999281i \(-0.512075\pi\)
−0.999321 + 0.0368580i \(0.988265\pi\)
\(282\) 5.79265e6 + 1.78680e6i 0.258303 + 0.0796760i
\(283\) 111515. 284137.i 0.00492012 0.0125363i −0.928393 0.371601i \(-0.878809\pi\)
0.933313 + 0.359065i \(0.116904\pi\)
\(284\) 3.91868e6 5.74765e6i 0.171074 0.250920i
\(285\) −3.81352e6 7.91886e6i −0.164737 0.342081i
\(286\) 2.60834e6 + 2.81112e6i 0.111498 + 0.120166i
\(287\) −2.16188e6 + 1.43431e7i −0.0914503 + 0.606733i
\(288\) −1.32595e7 + 993659.i −0.555071 + 0.0415968i
\(289\) 1.51213e7 + 3.85284e7i 0.626463 + 1.59620i
\(290\) −2.39847e6 547435.i −0.0983422 0.0224460i
\(291\) 1.44256e7 + 1.08105e6i 0.585405 + 0.0438700i
\(292\) 1.59474e6 + 5.17001e6i 0.0640532 + 0.207655i
\(293\) −4.30893e6 2.07507e6i −0.171304 0.0824954i 0.346267 0.938136i \(-0.387449\pi\)
−0.517570 + 0.855641i \(0.673163\pi\)
\(294\) −1.06172e6 1.83896e6i −0.0417801 0.0723652i
\(295\) −2.79022e6 1.61093e6i −0.108686 0.0627497i
\(296\) −2.79887e7 + 1.90824e7i −1.07921 + 0.735796i
\(297\) 1.38385e7 3.15854e6i 0.528224 0.120564i
\(298\) 69572.0 10486.3i 0.00262897 0.000396254i
\(299\) 1.81147e7 2.27151e7i 0.677669 0.849769i
\(300\) 1.17240e7i 0.434223i
\(301\) 1.20650e7 + 2.03932e7i 0.442413 + 0.747802i
\(302\) 7.93435e6 0.288065
\(303\) −1.60930e7 1.28338e7i −0.578509 0.461345i
\(304\) 1.89070e6 + 1.25440e7i 0.0672979 + 0.446492i
\(305\) −719255. 3.15126e6i −0.0253503 0.111067i
\(306\) 7.20660e6 + 1.05701e7i 0.251516 + 0.368907i
\(307\) −4.27758e6 + 7.40898e6i −0.147837 + 0.256061i −0.930428 0.366475i \(-0.880564\pi\)
0.782591 + 0.622536i \(0.213898\pi\)
\(308\) −8.52377e6 + 4.92120e6i −0.291729 + 0.168430i
\(309\) −4.54100e6 + 9.42947e6i −0.153913 + 0.319604i
\(310\) 9.75056e6 3.00765e6i 0.327299 0.100958i
\(311\) 1.22324e6 1.63230e7i 0.0406659 0.542649i −0.939249 0.343235i \(-0.888477\pi\)
0.979915 0.199414i \(-0.0639038\pi\)
\(312\) −2.53375e6 + 1.11011e7i −0.0834258 + 0.365512i
\(313\) −4.00426e7 + 1.57156e7i −1.30584 + 0.512504i −0.913321 0.407240i \(-0.866491\pi\)
−0.392518 + 0.919744i \(0.628396\pi\)
\(314\) 404611. + 5.39916e6i 0.0130692 + 0.174396i
\(315\) −5.50011e6 829008.i −0.175970 0.0265233i
\(316\) 2.57669e7 2.39082e7i 0.816585 0.757680i
\(317\) 2.50136e7 1.20459e7i 0.785234 0.378149i 0.00209698 0.999998i \(-0.499333\pi\)
0.783137 + 0.621849i \(0.213618\pi\)
\(318\) −6.47655e6 4.41564e6i −0.201401 0.137313i
\(319\) −8.28593e6 3.25199e6i −0.255252 0.100179i
\(320\) −777448. + 2.52043e6i −0.0237258 + 0.0769173i
\(321\) 2.31304e7 2.49287e7i 0.699308 0.753675i
\(322\) −1.56973e7 1.96838e7i −0.470172 0.589578i
\(323\) 6.39537e7 5.10014e7i 1.89783 1.51347i
\(324\) 3.16287e6 + 2.93472e6i 0.0929923 + 0.0862842i
\(325\) 1.76628e7 + 5.44824e6i 0.514528 + 0.158711i
\(326\) 7.04235e6 1.79436e7i 0.203266 0.517913i
\(327\) −1.78779e6 + 2.62221e6i −0.0511298 + 0.0749936i
\(328\) 9.49307e6 + 1.97126e7i 0.269020 + 0.558627i
\(329\) −1.66842e7 1.79813e7i −0.468510 0.504933i
\(330\) 359641. 2.38606e6i 0.0100075 0.0663956i
\(331\) 5.82623e7 4.36615e6i 1.60658 0.120397i 0.759012 0.651077i \(-0.225683\pi\)
0.847572 + 0.530680i \(0.178063\pi\)
\(332\) 4.14052e6 + 1.05499e7i 0.113146 + 0.288292i
\(333\) −2.88876e7 6.59341e6i −0.782310 0.178557i
\(334\) −3.51235e7 2.63214e6i −0.942666 0.0706431i
\(335\) −5.31141e6 1.72192e7i −0.141278 0.458013i
\(336\) −6.17682e6 2.97460e6i −0.162835 0.0784170i
\(337\) 2.45723e7 + 4.25604e7i 0.642030 + 1.11203i 0.984979 + 0.172675i \(0.0552410\pi\)
−0.342949 + 0.939354i \(0.611426\pi\)
\(338\) 1.01502e7 + 5.86022e6i 0.262860 + 0.151762i
\(339\) 2.19644e7 1.49751e7i 0.563793 0.384388i
\(340\) −1.79227e7 + 4.09075e6i −0.456003 + 0.104080i
\(341\) 3.65071e7 5.50255e6i 0.920691 0.138772i
\(342\) 9.95718e6 1.24859e7i 0.248919 0.312135i
\(343\) 4.36545e7i 1.08180i
\(344\) 3.23646e7 + 1.51641e7i 0.795052 + 0.372514i
\(345\) −1.82816e7 −0.445203
\(346\) −2.08639e7 1.66384e7i −0.503695 0.401684i
\(347\) −4.66001e6 3.09172e7i −0.111532 0.739965i −0.972772 0.231766i \(-0.925550\pi\)
0.861240 0.508199i \(-0.169688\pi\)
\(348\) −2.51590e6 1.10229e7i −0.0596975 0.261552i
\(349\) −2.21468e7 3.24834e7i −0.520997 0.764162i 0.472089 0.881551i \(-0.343500\pi\)
−0.993086 + 0.117389i \(0.962548\pi\)
\(350\) 8.00864e6 1.38714e7i 0.186790 0.323531i
\(351\) −2.46171e7 + 1.42127e7i −0.569265 + 0.328665i
\(352\) −1.01274e7 + 2.10298e7i −0.232204 + 0.482178i
\(353\) −1.39381e7 + 4.29935e6i −0.316870 + 0.0977413i −0.449110 0.893476i \(-0.648259\pi\)
0.132241 + 0.991218i \(0.457783\pi\)
\(354\) −373596. + 4.98530e6i −0.00842156 + 0.112378i
\(355\) 1.53563e6 6.72804e6i 0.0343243 0.150385i
\(356\) 6.02235e7 2.36360e7i 1.33480 0.523870i
\(357\) 3.30362e6 + 4.40838e7i 0.0726082 + 0.968889i
\(358\) −2.31866e6 349482.i −0.0505345 0.00761685i
\(359\) −3.94025e7 + 3.65602e7i −0.851609 + 0.790178i −0.979465 0.201615i \(-0.935381\pi\)
0.127855 + 0.991793i \(0.459191\pi\)
\(360\) −7.55912e6 + 3.64028e6i −0.162018 + 0.0780238i
\(361\) −4.54992e7 3.10209e7i −0.967125 0.659375i
\(362\) 1.90103e7 + 7.46100e6i 0.400741 + 0.157279i
\(363\) −6.99527e6 + 2.26781e7i −0.146246 + 0.474118i
\(364\) 1.34064e7 1.44486e7i 0.277975 0.299586i
\(365\) 3.34649e6 + 4.19636e6i 0.0688193 + 0.0862967i
\(366\) −3.92125e6 + 3.12710e6i −0.0799801 + 0.0637820i
\(367\) 3.43022e7 + 3.18278e7i 0.693943 + 0.643885i 0.946128 0.323794i \(-0.104958\pi\)
−0.252184 + 0.967679i \(0.581149\pi\)
\(368\) 2.52138e7 + 7.77744e6i 0.505936 + 0.156061i
\(369\) −6.99187e6 + 1.78150e7i −0.139160 + 0.354574i
\(370\) −8.09820e6 + 1.18779e7i −0.159876 + 0.234495i
\(371\) 1.37621e7 + 2.85773e7i 0.269503 + 0.559628i
\(372\) 3.18968e7 + 3.43765e7i 0.619609 + 0.667780i
\(373\) 832736. 5.52484e6i 0.0160465 0.106462i −0.979374 0.202057i \(-0.935237\pi\)
0.995420 + 0.0955953i \(0.0304755\pi\)
\(374\) 2.23946e7 1.67824e6i 0.428083 0.0320804i
\(375\) −9.21432e6 2.34777e7i −0.174731 0.445207i
\(376\) −3.60721e7 8.23322e6i −0.678591 0.154884i
\(377\) 1.77756e7 + 1.33210e6i 0.331742 + 0.0248606i
\(378\) 7.26040e6 + 2.35377e7i 0.134427 + 0.435800i
\(379\) 3.73102e7 + 1.79676e7i 0.685346 + 0.330045i 0.743949 0.668236i \(-0.232950\pi\)
−0.0586034 + 0.998281i \(0.518665\pi\)
\(380\) 1.14745e7 + 1.98744e7i 0.209114 + 0.362196i
\(381\) −2.31572e7 1.33698e7i −0.418708 0.241741i
\(382\) −1.55475e7 + 1.06001e7i −0.278914 + 0.190160i
\(383\) −1.43564e7 + 3.27676e6i −0.255535 + 0.0583241i −0.348369 0.937357i \(-0.613264\pi\)
0.0928345 + 0.995682i \(0.470407\pi\)
\(384\) −3.51683e7 + 5.30076e6i −0.621094 + 0.0936148i
\(385\) −6.08783e6 + 7.63389e6i −0.106679 + 0.133772i
\(386\) 3.96389e7i 0.689224i
\(387\) 9.53206e6 + 2.97743e7i 0.164458 + 0.513698i
\(388\) −3.77712e7 −0.646645
\(389\) −6.34557e7 5.06043e7i −1.07801 0.859683i −0.0873671 0.996176i \(-0.527845\pi\)
−0.990641 + 0.136493i \(0.956417\pi\)
\(390\) 720210. + 4.77828e6i 0.0121413 + 0.0805523i
\(391\) −3.78605e7 1.65877e8i −0.633367 2.77496i
\(392\) 7.30099e6 + 1.07086e7i 0.121206 + 0.177776i
\(393\) −7.01156e6 + 1.21444e7i −0.115515 + 0.200077i
\(394\) −1.85317e7 + 1.06993e7i −0.302988 + 0.174930i
\(395\) 1.51298e7 3.14173e7i 0.245495 0.509775i
\(396\) −1.24091e7 + 3.82769e6i −0.199827 + 0.0616383i
\(397\) 5.94695e6 7.93565e7i 0.0950435 1.26827i −0.722082 0.691808i \(-0.756815\pi\)
0.817125 0.576460i \(-0.195566\pi\)
\(398\) −5.94173e6 + 2.60324e7i −0.0942462 + 0.412920i
\(399\) 5.13709e7 2.01616e7i 0.808721 0.317399i
\(400\) 1.25448e6 + 1.67399e7i 0.0196013 + 0.261561i
\(401\) −9.91247e7 1.49406e7i −1.53726 0.231705i −0.674868 0.737938i \(-0.735799\pi\)
−0.862397 + 0.506233i \(0.831038\pi\)
\(402\) −2.04967e7 + 1.90181e7i −0.315504 + 0.292745i
\(403\) −6.66124e7 + 3.20788e7i −1.01775 + 0.490121i
\(404\) 4.44059e7 + 3.02754e7i 0.673436 + 0.459141i
\(405\) 3.98446e6 + 1.56379e6i 0.0599798 + 0.0235403i
\(406\) 4.55298e6 1.47604e7i 0.0680327 0.220557i
\(407\) −3.53787e7 + 3.81292e7i −0.524757 + 0.565554i
\(408\) 4.15754e7 + 5.21338e7i 0.612147 + 0.767608i
\(409\) −7.63821e7 + 6.09127e7i −1.11641 + 0.890304i −0.994757 0.102270i \(-0.967390\pi\)
−0.121649 + 0.992573i \(0.538818\pi\)
\(410\) 6.80651e6 + 6.31552e6i 0.0987581 + 0.0916341i
\(411\) −2.77340e7 8.55480e6i −0.399472 0.123221i
\(412\) 9.98358e6 2.54377e7i 0.142756 0.363737i
\(413\) 1.13956e7 1.67142e7i 0.161765 0.237266i
\(414\) −1.44126e7 2.99281e7i −0.203115 0.421772i
\(415\) 7.64728e6 + 8.24181e6i 0.106995 + 0.115313i
\(416\) 6.96667e6 4.62208e7i 0.0967709 0.642033i
\(417\) 2.56721e7 1.92386e6i 0.354040 0.0265317i
\(418\) −1.02421e7 2.60964e7i −0.140236 0.357316i
\(419\) 6.35970e7 + 1.45156e7i 0.864559 + 0.197330i 0.631731 0.775188i \(-0.282345\pi\)
0.232828 + 0.972518i \(0.425202\pi\)
\(420\) −1.23677e7 926831.i −0.166933 0.0125099i
\(421\) −3.14896e6 1.02087e7i −0.0422009 0.136812i 0.932021 0.362405i \(-0.118044\pi\)
−0.974222 + 0.225593i \(0.927568\pi\)
\(422\) 4.05488e7 + 1.95273e7i 0.539561 + 0.259839i
\(423\) −1.61819e7 2.80280e7i −0.213801 0.370314i
\(424\) 4.14338e7 + 2.39218e7i 0.543572 + 0.313831i
\(425\) 8.94363e7 6.09766e7i 1.16506 0.794322i
\(426\) −1.04397e7 + 2.38280e6i −0.135039 + 0.0308218i
\(427\) 2.00682e7 3.02479e6i 0.257765 0.0388518i
\(428\) −5.53610e7 + 6.94205e7i −0.706110 + 0.885435i
\(429\) 1.74839e7i 0.221445i
\(430\) 1.51366e7 + 972581.i 0.190381 + 0.0122326i
\(431\) 1.29037e7 0.161169 0.0805845 0.996748i \(-0.474321\pi\)
0.0805845 + 0.996748i \(0.474321\pi\)
\(432\) −2.01833e7 1.60956e7i −0.250346 0.199644i
\(433\) 1.71909e7 + 1.14054e8i 0.211755 + 1.40491i 0.801828 + 0.597555i \(0.203861\pi\)
−0.590072 + 0.807350i \(0.700901\pi\)
\(434\) 1.42564e7 + 6.24614e7i 0.174398 + 0.764086i
\(435\) −6.31844e6 9.26745e6i −0.0767612 0.112588i
\(436\) 4.14326e6 7.17633e6i 0.0499899 0.0865851i
\(437\) −1.83940e8 + 1.06198e8i −2.20411 + 1.27254i
\(438\) 3.61354e6 7.50359e6i 0.0430042 0.0892990i
\(439\) 1.23370e7 3.80545e6i 0.145819 0.0449793i −0.220986 0.975277i \(-0.570928\pi\)
0.366806 + 0.930298i \(0.380451\pi\)
\(440\) −1.10063e6 + 1.46868e7i −0.0129206 + 0.172413i
\(441\) −2.52266e6 + 1.10525e7i −0.0294133 + 0.128868i
\(442\) −4.18639e7 + 1.64304e7i −0.484812 + 0.190275i
\(443\) −9.24710e6 1.23394e8i −0.106364 1.41933i −0.753748 0.657164i \(-0.771756\pi\)
0.647384 0.762164i \(-0.275863\pi\)
\(444\) −6.53306e7 9.84701e6i −0.746394 0.112501i
\(445\) 4.70481e7 4.36542e7i 0.533902 0.495389i
\(446\) 7.20521e7 3.46985e7i 0.812161 0.391116i
\(447\) 265040. + 180701.i 0.00296749 + 0.00202320i
\(448\) −1.54161e7 6.05037e6i −0.171451 0.0672896i
\(449\) 1.24958e7 4.05103e7i 0.138046 0.447535i −0.859980 0.510327i \(-0.829524\pi\)
0.998027 + 0.0627922i \(0.0200005\pi\)
\(450\) 1.43741e7 1.54916e7i 0.157741 0.170004i
\(451\) 2.09463e7 + 2.62659e7i 0.228338 + 0.286327i
\(452\) −5.42671e7 + 4.32766e7i −0.587654 + 0.468638i
\(453\) 2.65179e7 + 2.46050e7i 0.285263 + 0.264685i
\(454\) 8.00184e7 + 2.46824e7i 0.855110 + 0.263767i
\(455\) 7.14367e6 1.82018e7i 0.0758381 0.193232i
\(456\) 4.68914e7 6.87771e7i 0.494537 0.725353i
\(457\) −3.77189e7 7.83242e7i −0.395194 0.820630i −0.999711 0.0240372i \(-0.992348\pi\)
0.604517 0.796593i \(-0.293366\pi\)
\(458\) −4.70912e7 5.07522e7i −0.490166 0.528274i
\(459\) −2.48101e7 + 1.64604e8i −0.256561 + 1.70217i
\(460\) 4.76003e7 3.56715e6i 0.489030 0.0366478i
\(461\) 1.79534e7 + 4.57444e7i 0.183250 + 0.466912i 0.992749 0.120209i \(-0.0383565\pi\)
−0.809499 + 0.587121i \(0.800261\pi\)
\(462\) 1.47708e7 + 3.37135e6i 0.149789 + 0.0341883i
\(463\) 9.14851e7 + 6.85586e6i 0.921737 + 0.0690747i 0.527139 0.849779i \(-0.323265\pi\)
0.394598 + 0.918854i \(0.370884\pi\)
\(464\) 4.77173e6 + 1.54696e7i 0.0477663 + 0.154855i
\(465\) 4.19149e7 + 2.01852e7i 0.416879 + 0.200758i
\(466\) 2.38841e7 + 4.13685e7i 0.236021 + 0.408801i
\(467\) 5.49281e7 + 3.17127e7i 0.539317 + 0.311375i 0.744802 0.667286i \(-0.232544\pi\)
−0.205485 + 0.978660i \(0.565877\pi\)
\(468\) 2.14868e7 1.46494e7i 0.209620 0.142917i
\(469\) 1.10305e8 2.51763e7i 1.06924 0.244047i
\(470\) −1.55266e7 + 2.34026e6i −0.149549 + 0.0225409i
\(471\) −1.53909e7 + 1.92996e7i −0.147300 + 0.184708i
\(472\) 3.05135e7i 0.290179i
\(473\) 5.36307e7 + 1.16422e7i 0.506792 + 0.110015i
\(474\) −5.41077e7 −0.508071
\(475\) −1.05646e8 8.42499e7i −0.985763 0.786119i
\(476\) −1.72034e7 1.14137e8i −0.159512 1.05829i
\(477\) 9.31229e6 + 4.07998e7i 0.0858028 + 0.375926i
\(478\) 1.28204e7 + 1.88041e7i 0.117387 + 0.172175i
\(479\) 4.67311e7 8.09407e7i 0.425206 0.736479i −0.571234 0.820788i \(-0.693535\pi\)
0.996440 + 0.0843089i \(0.0268683\pi\)
\(480\) −2.54718e7 + 1.47062e7i −0.230322 + 0.132977i
\(481\) 4.51946e7 9.38475e7i 0.406117 0.843310i
\(482\) 1.20767e7 3.72515e6i 0.107846 0.0332662i
\(483\) 8.57796e6 1.14465e8i 0.0761277 1.01585i
\(484\) 1.37887e7 6.04123e7i 0.121615 0.532831i
\(485\) −3.48806e7 + 1.36896e7i −0.305744 + 0.119996i
\(486\) 4.00636e6 + 5.34612e7i 0.0349013 + 0.465725i
\(487\) 5.03598e7 + 7.59052e6i 0.436011 + 0.0657180i 0.363380 0.931641i \(-0.381623\pi\)
0.0726303 + 0.997359i \(0.476861\pi\)
\(488\) 2.24405e7 2.08217e7i 0.193096 0.179167i
\(489\) 7.91811e7 3.81316e7i 0.677166 0.326106i
\(490\) 4.54453e6 + 3.09841e6i 0.0386278 + 0.0263360i
\(491\) −4.58977e7 1.80135e7i −0.387746 0.152179i 0.163457 0.986550i \(-0.447736\pi\)
−0.551202 + 0.834372i \(0.685831\pi\)
\(492\) −1.25780e7 + 4.07770e7i −0.105613 + 0.342389i
\(493\) 7.10024e7 7.65224e7i 0.592560 0.638628i
\(494\) 3.50034e7 + 4.38929e7i 0.290355 + 0.364094i
\(495\) −1.00721e7 + 8.03223e6i −0.0830432 + 0.0662248i
\(496\) −4.92213e7 4.56707e7i −0.403374 0.374277i
\(497\) 4.14051e7 + 1.27718e7i 0.337275 + 0.104036i
\(498\) 6.37362e6 1.62397e7i 0.0516057 0.131489i
\(499\) −1.25683e8 + 1.84344e8i −1.01152 + 1.48363i −0.141924 + 0.989878i \(0.545329\pi\)
−0.869600 + 0.493756i \(0.835623\pi\)
\(500\) 2.85725e7 + 5.93314e7i 0.228580 + 0.474651i
\(501\) −1.09226e8 1.17718e8i −0.868586 0.936113i
\(502\) 4.55407e6 3.02143e7i 0.0359988 0.238837i
\(503\) −9.29361e7 + 6.96460e6i −0.730265 + 0.0547258i −0.434673 0.900588i \(-0.643136\pi\)
−0.295592 + 0.955314i \(0.595517\pi\)
\(504\) −1.92457e7 4.90372e7i −0.150328 0.383031i
\(505\) 5.19803e7 + 1.18642e7i 0.403613 + 0.0921220i
\(506\) −5.81482e7 4.35761e6i −0.448833 0.0336354i
\(507\) 1.57507e7 + 5.10624e7i 0.120858 + 0.391811i
\(508\) 6.29036e7 + 3.02928e7i 0.479826 + 0.231072i
\(509\) 1.40889e7 + 2.44026e7i 0.106837 + 0.185047i 0.914487 0.404615i \(-0.132594\pi\)
−0.807650 + 0.589662i \(0.799261\pi\)
\(510\) 2.45072e7 + 1.41492e7i 0.184749 + 0.106665i
\(511\) −2.78444e7 + 1.89840e7i −0.208678 + 0.142274i
\(512\) 7.65983e7 1.74831e7i 0.570702 0.130259i
\(513\) 2.05481e8 3.09713e7i 1.52202 0.229408i
\(514\) −4.34782e7 + 5.45199e7i −0.320171 + 0.401482i
\(515\) 2.71094e7i 0.198471i
\(516\) 2.61559e7 + 6.46151e7i 0.190380 + 0.470311i
\(517\) −5.68126e7 −0.411124
\(518\) −7.05700e7 5.62777e7i −0.507727 0.404899i
\(519\) −1.81337e7 1.20309e8i −0.129713 0.860590i
\(520\) −6.56305e6 2.87546e7i −0.0466762 0.204502i
\(521\) −5.30605e7 7.78255e7i −0.375196 0.550312i 0.591478 0.806321i \(-0.298545\pi\)
−0.966674 + 0.256009i \(0.917592\pi\)
\(522\) 1.01901e7 1.76498e7i 0.0716419 0.124087i
\(523\) −1.16497e8 + 6.72595e7i −0.814346 + 0.470163i −0.848463 0.529255i \(-0.822472\pi\)
0.0341168 + 0.999418i \(0.489138\pi\)
\(524\) 1.58865e7 3.29886e7i 0.110417 0.229282i
\(525\) 6.97824e7 2.15250e7i 0.482245 0.148753i
\(526\) 554397. 7.39791e6i 0.00380946 0.0508337i
\(527\) −9.63450e7 + 4.22115e8i −0.658260 + 2.88403i
\(528\) −1.47810e7 + 5.80110e6i −0.100416 + 0.0394102i
\(529\) 2.19517e7 + 2.92926e8i 0.148287 + 1.97875i
\(530\) 2.00771e7 + 3.02614e6i 0.134857 + 0.0203265i
\(531\) 1.95654e7 1.81541e7i 0.130679 0.121252i
\(532\) −1.29821e8 + 6.25187e7i −0.862207 + 0.415217i
\(533\) −5.55872e7 3.78987e7i −0.367107 0.250289i
\(534\) −9.27038e7 3.63836e7i −0.608799 0.238936i
\(535\) −2.59638e7 + 8.41725e7i −0.169553 + 0.549678i
\(536\) 1.16079e8 1.25103e8i 0.753804 0.812408i
\(537\) −6.66557e6 8.35836e6i −0.0430442 0.0539757i
\(538\) −2.44224e7 + 1.94762e7i −0.156834 + 0.125071i
\(539\) 1.45884e7 + 1.35360e7i 0.0931624 + 0.0864421i
\(540\) −4.46265e7 1.37655e7i −0.283408 0.0874197i
\(541\) 1.97758e7 5.03879e7i 0.124894 0.318225i −0.854727 0.519077i \(-0.826276\pi\)
0.979622 + 0.200852i \(0.0643710\pi\)
\(542\) 8.59463e6 1.26060e7i 0.0539796 0.0791735i
\(543\) 4.03985e7 + 8.38883e7i 0.252328 + 0.523965i
\(544\) −1.86186e8 2.00661e8i −1.15652 1.24643i
\(545\) 1.22522e6 8.12879e6i 0.00756874 0.0502153i
\(546\) −3.02557e7 + 2.26735e6i −0.185878 + 0.0139297i
\(547\) −2.05468e7 5.23524e7i −0.125540 0.319871i 0.854261 0.519844i \(-0.174010\pi\)
−0.979801 + 0.199973i \(0.935915\pi\)
\(548\) 7.38807e7 + 1.68628e7i 0.448941 + 0.102468i
\(549\) 2.67020e7 + 2.00103e6i 0.161371 + 0.0120931i
\(550\) −1.09347e7 3.54495e7i −0.0657233 0.213070i
\(551\) −1.17407e8 5.65404e7i −0.701844 0.337990i
\(552\) −8.65706e7 1.49945e8i −0.514699 0.891485i
\(553\) 1.89611e8 + 1.09472e8i 1.12121 + 0.647333i
\(554\) −6.40160e7 + 4.36454e7i −0.376495 + 0.256690i
\(555\) −6.38997e7 + 1.45847e7i −0.373784 + 0.0853137i
\(556\) −6.64675e7 + 1.00184e7i −0.386710 + 0.0582871i
\(557\) −1.78916e8 + 2.24353e8i −1.03534 + 1.29828i −0.0819181 + 0.996639i \(0.526105\pi\)
−0.953423 + 0.301637i \(0.902467\pi\)
\(558\) 8.45304e7i 0.486531i
\(559\) −1.09500e8 + 9.37791e6i −0.626874 + 0.0536872i
\(560\) 1.77581e7 0.101119
\(561\) 8.00507e7 + 6.38383e7i 0.453395 + 0.361570i
\(562\) −1.88069e7 1.24775e8i −0.105952 0.702943i
\(563\) −2.86241e7 1.25411e8i −0.160401 0.702763i −0.989604 0.143816i \(-0.954063\pi\)
0.829203 0.558947i \(-0.188794\pi\)
\(564\) −4.06511e7 5.96242e7i −0.226587 0.332342i
\(565\) −3.44291e7 + 5.96329e7i −0.190889 + 0.330629i
\(566\) 1.06245e6 613406.i 0.00585949 0.00338298i
\(567\) −1.16607e7 + 2.42137e7i −0.0639700 + 0.132835i
\(568\) 6.24547e7 1.92647e7i 0.340816 0.105128i
\(569\) −1.12861e7 + 1.50603e8i −0.0612642 + 0.817515i 0.878946 + 0.476921i \(0.158247\pi\)
−0.940211 + 0.340594i \(0.889372\pi\)
\(570\) 7.86078e6 3.44403e7i 0.0424464 0.185970i
\(571\) 2.93976e8 1.15377e8i 1.57908 0.619743i 0.596010 0.802977i \(-0.296752\pi\)
0.983069 + 0.183234i \(0.0586567\pi\)
\(572\) −3.41149e6 4.55232e7i −0.0182287 0.243245i
\(573\) −8.48341e7 1.27867e7i −0.450927 0.0679663i
\(574\) −4.27364e7 + 3.96536e7i −0.225976 + 0.209675i
\(575\) −2.53228e8 + 1.21948e8i −1.33201 + 0.641464i
\(576\) −1.80536e7 1.23087e7i −0.0944703 0.0644088i
\(577\) −5.57515e7 2.18808e7i −0.290221 0.113903i 0.215764 0.976445i \(-0.430776\pi\)
−0.505985 + 0.862542i \(0.668871\pi\)
\(578\) −4.90336e7 + 1.58963e8i −0.253928 + 0.823213i
\(579\) 1.22923e8 1.32480e8i 0.633284 0.682518i
\(580\) 1.82597e7 + 2.28970e7i 0.0935858 + 0.117353i
\(581\) −5.51917e7 + 4.40140e7i −0.281414 + 0.224420i
\(582\) 4.26214e7 + 3.95469e7i 0.216201 + 0.200606i
\(583\) 7.01993e7 + 2.16536e7i 0.354264 + 0.109276i
\(584\) −1.85713e7 + 4.73190e7i −0.0932405 + 0.237573i
\(585\) 1.45329e7 2.13158e7i 0.0725913 0.106472i
\(586\) −8.34016e6 1.73185e7i −0.0414459 0.0860633i
\(587\) −1.53501e8 1.65435e8i −0.758922 0.817923i 0.228910 0.973448i \(-0.426484\pi\)
−0.987832 + 0.155524i \(0.950293\pi\)
\(588\) −3.76751e6 + 2.49958e7i −0.0185320 + 0.122952i
\(589\) 5.38982e8 4.03911e7i 2.63772 0.197670i
\(590\) −4.73094e6 1.20542e7i −0.0230352 0.0586926i
\(591\) −9.51152e7 2.17094e7i −0.460773 0.105168i
\(592\) 9.43344e7 + 7.06939e6i 0.454679 + 0.0340735i
\(593\) 1.13420e7 + 3.67699e7i 0.0543909 + 0.176331i 0.978692 0.205332i \(-0.0658276\pi\)
−0.924301 + 0.381663i \(0.875351\pi\)
\(594\) 5.14004e7 + 2.47531e7i 0.245249 + 0.118106i
\(595\) −5.72541e7 9.91670e7i −0.271804 0.470778i
\(596\) −725348. 418780.i −0.00342616 0.00197810i
\(597\) −1.00587e8 + 6.85789e7i −0.472735 + 0.322306i
\(598\) 1.13845e8 2.59845e7i 0.532368 0.121510i
\(599\) 2.42953e8 3.66193e7i 1.13042 0.170384i 0.442918 0.896562i \(-0.353943\pi\)
0.687507 + 0.726178i \(0.258705\pi\)
\(600\) 6.86789e7 8.61206e7i 0.317958 0.398706i
\(601\) 1.52441e8i 0.702228i −0.936333 0.351114i \(-0.885803\pi\)
0.936333 0.351114i \(-0.114197\pi\)
\(602\) −1.31918e7 + 9.43169e7i −0.0604664 + 0.432315i
\(603\) 1.49278e8 0.680838
\(604\) −7.38462e7 5.88903e7i −0.335133 0.267260i
\(605\) −9.16208e6 6.07864e7i −0.0413740 0.274499i
\(606\) −1.84093e7 8.06564e7i −0.0827216 0.362427i
\(607\) 6.88652e7 + 1.01007e8i 0.307917 + 0.451631i 0.948740 0.316057i \(-0.102359\pi\)
−0.640823 + 0.767689i \(0.721407\pi\)
\(608\) −1.70856e8 + 2.95932e8i −0.760186 + 1.31668i
\(609\) 6.09900e7 3.52126e7i 0.270027 0.155900i
\(610\) 5.63673e6 1.17048e7i 0.0248335 0.0515672i
\(611\) 1.08717e8 3.35348e7i 0.476623 0.147019i
\(612\) 1.13808e7 1.51867e8i 0.0496501 0.662534i
\(613\) −2.42531e7 + 1.06260e8i −0.105290 + 0.461305i 0.894606 + 0.446856i \(0.147457\pi\)
−0.999896 + 0.0144488i \(0.995401\pi\)
\(614\) −3.20081e7 + 1.25623e7i −0.138279 + 0.0542703i
\(615\) 3.16358e6 + 4.22150e7i 0.0136004 + 0.181485i
\(616\) −9.14408e7 1.37825e7i −0.391199 0.0589638i
\(617\) 9.35062e7 8.67611e7i 0.398093 0.369377i −0.455572 0.890199i \(-0.650565\pi\)
0.853665 + 0.520823i \(0.174375\pi\)
\(618\) −3.78991e7 + 1.82512e7i −0.160570 + 0.0773263i
\(619\) 1.36359e8 + 9.29682e7i 0.574927 + 0.391979i 0.815590 0.578630i \(-0.196413\pi\)
−0.240663 + 0.970609i \(0.577365\pi\)
\(620\) −1.13073e8 4.43780e7i −0.474444 0.186205i
\(621\) 1.27401e8 4.13025e8i 0.531985 1.72465i
\(622\) 4.47483e7 4.82272e7i 0.185954 0.200411i
\(623\) 2.51252e8 + 3.15060e8i 1.03907 + 1.30295i
\(624\) 2.48608e7 1.98258e7i 0.102320 0.0815977i
\(625\) −1.05273e8 9.76790e7i −0.431198 0.400093i
\(626\) −1.65210e8 5.09606e7i −0.673463 0.207736i
\(627\) 4.66963e7 1.18980e8i 0.189443 0.482694i
\(628\) 3.63079e7 5.32539e7i 0.146596 0.215017i
\(629\) −2.64667e8 5.49586e8i −1.06352 2.20843i
\(630\) −1.52058e7 1.63880e7i −0.0608119 0.0655396i
\(631\) −2.77662e7 + 1.84217e8i −0.110517 + 0.733232i 0.863098 + 0.505036i \(0.168521\pi\)
−0.973615 + 0.228196i \(0.926717\pi\)
\(632\) 3.29328e8 2.46797e7i 1.30460 0.0977663i
\(633\) 7.49652e7 + 1.91008e8i 0.295562 + 0.753080i
\(634\) 1.08788e8 + 2.48302e7i 0.426887 + 0.0974343i
\(635\) 6.90687e7 + 5.17598e6i 0.269749 + 0.0202149i
\(636\) 2.75044e7 + 8.91672e7i 0.106913 + 0.346604i
\(637\) −3.59064e7 1.72916e7i −0.138917 0.0668987i
\(638\) −1.78880e7 3.09829e7i −0.0688811 0.119305i
\(639\) 4.95101e7 + 2.85847e7i 0.189754 + 0.109555i
\(640\) 7.61160e7 5.18950e7i 0.290360 0.197964i
\(641\) 762907. 174128.i 0.00289666 0.000661143i −0.221072 0.975257i \(-0.570956\pi\)
0.223969 + 0.974596i \(0.428099\pi\)
\(642\) 1.35154e8 2.03711e7i 0.510767 0.0769857i
\(643\) −6.56932e7 + 8.23767e7i −0.247109 + 0.309864i −0.889881 0.456193i \(-0.849213\pi\)
0.642772 + 0.766057i \(0.277784\pi\)
\(644\) 2.99708e8i 1.12212i
\(645\) 4.75730e7 + 5.01903e7i 0.177289 + 0.187043i
\(646\) 3.28772e8 1.21954
\(647\) 2.36145e6 + 1.88319e6i 0.00871897 + 0.00695315i 0.627840 0.778343i \(-0.283939\pi\)
−0.619121 + 0.785296i \(0.712511\pi\)
\(648\) 6.04190e6 + 4.00854e7i 0.0222049 + 0.147320i
\(649\) −1.04258e7 4.56783e7i −0.0381395 0.167100i
\(650\) 4.18496e7 + 6.13821e7i 0.152388 + 0.223513i
\(651\) −1.46050e8 + 2.52966e8i −0.529370 + 0.916895i
\(652\) −1.98725e8 + 1.14734e8i −0.716985 + 0.413951i
\(653\) 1.62409e8 3.37246e8i 0.583272 1.21118i −0.375452 0.926842i \(-0.622513\pi\)
0.958725 0.284336i \(-0.0917731\pi\)
\(654\) −1.21890e7 + 3.75980e6i −0.0435747 + 0.0134410i
\(655\) 2.71445e6 3.62218e7i 0.00965957 0.128898i
\(656\) 1.35961e7 5.95683e7i 0.0481617 0.211010i
\(657\) −4.13902e7 + 1.62445e7i −0.145949 + 0.0572808i
\(658\) −7.36757e6 9.83133e7i −0.0258611 0.345092i
\(659\) −5.11091e8 7.70346e7i −1.78584 0.269172i −0.828886 0.559418i \(-0.811025\pi\)
−0.956952 + 0.290246i \(0.906263\pi\)
\(660\) −2.10570e7 + 1.95381e7i −0.0732429 + 0.0679595i
\(661\) 1.51516e7 7.29663e6i 0.0524632 0.0252649i −0.407468 0.913219i \(-0.633588\pi\)
0.459931 + 0.887954i \(0.347874\pi\)
\(662\) 1.94022e8 + 1.32282e8i 0.668770 + 0.455959i
\(663\) −1.90868e8 7.49101e7i −0.654926 0.257040i
\(664\) −3.13859e7 + 1.01751e8i −0.107209 + 0.347562i
\(665\) −9.72271e7 + 1.04786e8i −0.330615 + 0.356318i
\(666\) −7.42523e7 9.31094e7i −0.251355 0.315189i
\(667\) −2.11915e8 + 1.68996e8i −0.714140 + 0.569508i
\(668\) 3.07363e8 + 2.85191e8i 1.03115 + 0.956768i
\(669\) 3.48413e8 + 1.07471e8i 1.16363 + 0.358933i
\(670\) 2.64599e7 6.74188e7i 0.0879760 0.224159i
\(671\) 2.64788e7 3.88372e7i 0.0876456 0.128553i
\(672\) −8.01265e7 1.66384e8i −0.264039 0.548283i
\(673\) −2.60710e8 2.80978e8i −0.855288 0.921781i 0.142395 0.989810i \(-0.454520\pi\)
−0.997683 + 0.0680287i \(0.978329\pi\)
\(674\) −2.94392e7 + 1.95316e8i −0.0961494 + 0.637909i
\(675\) 2.74214e8 2.05495e7i 0.891618 0.0668175i
\(676\) −5.09736e7 1.29879e8i −0.165008 0.420434i
\(677\) −5.13747e7 1.17259e7i −0.165570 0.0377904i 0.138932 0.990302i \(-0.455633\pi\)
−0.304502 + 0.952512i \(0.598490\pi\)
\(678\) 1.06546e8 + 7.98455e6i 0.341861 + 0.0256190i
\(679\) −6.93470e7 2.24817e8i −0.221523 0.718159i
\(680\) −1.55617e8 7.49414e7i −0.494916 0.238339i
\(681\) 1.90893e8 + 3.30636e8i 0.604432 + 1.04691i
\(682\) 1.28507e8 + 7.41936e7i 0.405111 + 0.233891i
\(683\) −3.01235e8 + 2.05378e8i −0.945459 + 0.644603i −0.934737 0.355339i \(-0.884365\pi\)
−0.0107217 + 0.999943i \(0.503413\pi\)
\(684\) −1.85346e8 + 4.23040e7i −0.579181 + 0.132194i
\(685\) 7.43382e7 1.12047e7i 0.231281 0.0348600i
\(686\) −1.09396e8 + 1.37178e8i −0.338866 + 0.424924i
\(687\) 3.15656e8i 0.973517i
\(688\) −4.42600e7 8.94605e7i −0.135908 0.274705i
\(689\) −1.47116e8 −0.449781
\(690\) −5.74473e7 4.58127e7i −0.174873 0.139457i
\(691\) −6.25006e7 4.14665e8i −0.189431 1.25679i −0.858198 0.513319i \(-0.828416\pi\)
0.668767 0.743472i \(-0.266822\pi\)
\(692\) 7.06899e7 + 3.09713e8i 0.213324 + 0.934632i
\(693\) −4.55654e7 6.68321e7i −0.136910 0.200810i
\(694\) 6.28332e7 1.08830e8i 0.187980 0.325590i
\(695\) −5.77497e7 + 3.33418e7i −0.172026 + 0.0993195i
\(696\) 4.60907e7 9.57083e7i 0.136705 0.283871i
\(697\) −3.76484e8 + 1.16130e8i −1.11185 + 0.342962i
\(698\) 1.18085e7 1.57573e8i 0.0347238 0.463357i
\(699\) −4.84622e7 + 2.12327e8i −0.141896 + 0.621689i
\(700\) −1.77494e8 + 6.96611e7i −0.517474 + 0.203094i
\(701\) 1.42962e7 + 1.90769e8i 0.0415017 + 0.553802i 0.978739 + 0.205110i \(0.0657552\pi\)
−0.937237 + 0.348692i \(0.886626\pi\)
\(702\) −1.12971e8 1.70277e7i −0.326556 0.0492204i
\(703\) −5.58204e8 + 5.17937e8i −1.60667 + 1.49077i
\(704\) −3.45581e7 + 1.66423e7i −0.0990450 + 0.0476975i
\(705\) −5.91499e7 4.03277e7i −0.168805 0.115090i
\(706\) −5.45724e7 2.14181e7i −0.155081 0.0608649i
\(707\) −9.86736e7 + 3.19892e8i −0.279218 + 0.905201i
\(708\) 4.04790e7 4.36260e7i 0.114059 0.122926i
\(709\) 3.71276e7 + 4.65565e7i 0.104174 + 0.130630i 0.831185 0.555995i \(-0.187663\pi\)
−0.727012 + 0.686625i \(0.759091\pi\)
\(710\) 2.16856e7 1.72937e7i 0.0605893 0.0483184i
\(711\) 2.11759e8 + 1.96483e8i 0.589159 + 0.546660i
\(712\) 5.80839e8 + 1.79165e8i 1.60922 + 0.496379i
\(713\) 4.10725e8 1.04651e9i 1.13314 2.88718i
\(714\) −1.00090e8 + 1.46805e8i −0.274977 + 0.403318i
\(715\) −1.96496e7 4.08028e7i −0.0537571 0.111628i
\(716\) 1.89862e7 + 2.04622e7i 0.0517247 + 0.0557460i
\(717\) −1.54650e7 + 1.02604e8i −0.0419559 + 0.278359i
\(718\) −2.15434e8 + 1.61446e7i −0.582024 + 0.0436167i
\(719\) −2.19384e8 5.58981e8i −0.590225 1.50387i −0.843857 0.536569i \(-0.819720\pi\)
0.253631 0.967301i \(-0.418375\pi\)
\(720\) 2.28425e7 + 5.21364e6i 0.0611992 + 0.0139683i
\(721\) 1.69737e8 + 1.27200e7i 0.452867 + 0.0339377i
\(722\) −6.52381e7 2.11497e8i −0.173336 0.561943i
\(723\) 5.19141e7 + 2.50005e7i 0.137363 + 0.0661507i
\(724\) −1.21555e8 2.10539e8i −0.320299 0.554775i
\(725\) −1.49339e8 8.62207e7i −0.391884 0.226255i
\(726\) −7.88116e7 + 5.37328e7i −0.205959 + 0.140420i
\(727\) 4.88870e8 1.11581e8i 1.27230 0.290395i 0.467529 0.883978i \(-0.345144\pi\)
0.804773 + 0.593583i \(0.202287\pi\)
\(728\) 1.83118e8 2.76005e7i 0.474609 0.0715358i
\(729\) −1.93386e8 + 2.42498e8i −0.499162 + 0.625929i
\(730\) 2.15725e7i 0.0554540i
\(731\) −3.56877e8 + 5.35593e8i −0.913622 + 1.37114i
\(732\) 5.97056e7 0.152224
\(733\) −4.18138e8 3.33454e8i −1.06171 0.846688i −0.0731242 0.997323i \(-0.523297\pi\)
−0.988590 + 0.150634i \(0.951868\pi\)
\(734\) 2.80310e7 + 1.85973e8i 0.0708843 + 0.470287i
\(735\) 5.58017e6 + 2.44483e7i 0.0140535 + 0.0615725i
\(736\) 4.00385e8 + 5.87257e8i 1.00426 + 1.47297i
\(737\) 1.31023e8 2.26939e8i 0.327300 0.566901i
\(738\) −6.66143e7 + 3.84598e7i −0.165729 + 0.0956836i
\(739\) −1.46913e8 + 3.05068e8i −0.364021 + 0.755898i −0.999873 0.0159130i \(-0.994935\pi\)
0.635852 + 0.771811i \(0.280649\pi\)
\(740\) 1.63531e8 5.04427e7i 0.403557 0.124481i
\(741\) −1.91280e7 + 2.55245e8i −0.0470127 + 0.627340i
\(742\) −2.83677e7 + 1.24287e8i −0.0694404 + 0.304238i
\(743\) 9.14177e7 3.58788e7i 0.222876 0.0874725i −0.251276 0.967916i \(-0.580850\pi\)
0.474152 + 0.880443i \(0.342755\pi\)
\(744\) 3.29260e7 + 4.39368e8i 0.0799504 + 1.06686i
\(745\) −821618. 123839.i −0.00198701 0.000299494i
\(746\) 1.64617e7 1.52742e7i 0.0396513 0.0367910i
\(747\) −8.39160e7 + 4.04118e7i −0.201318 + 0.0969497i
\(748\) −2.20886e8 1.50597e8i −0.527792 0.359843i
\(749\) −5.14838e8 2.02059e8i −1.22525 0.480875i
\(750\) 2.98791e7 9.68657e7i 0.0708245 0.229608i
\(751\) 9.77598e7 1.05360e8i 0.230802 0.248746i −0.607023 0.794684i \(-0.707636\pi\)
0.837825 + 0.545939i \(0.183827\pi\)
\(752\) 6.44225e7 + 8.07832e7i 0.151490 + 0.189962i
\(753\) 1.08917e8 8.68586e7i 0.255101 0.203436i
\(754\) 5.25190e7 + 4.87306e7i 0.122519 + 0.113681i
\(755\) −8.95386e7 2.76190e7i −0.208051 0.0641752i
\(756\) 1.07128e8 2.72956e8i 0.247934 0.631725i
\(757\) 1.85443e8 2.71995e8i 0.427487 0.627009i −0.550707 0.834698i \(-0.685642\pi\)
0.978195 + 0.207690i \(0.0665944\pi\)
\(758\) 7.22158e7 + 1.49958e8i 0.165815 + 0.344319i
\(759\) −1.80828e8 1.94886e8i −0.413561 0.445713i
\(760\) −3.21358e7 + 2.13207e8i −0.0732063 + 0.485692i
\(761\) 3.89542e8 2.91922e7i 0.883895 0.0662388i 0.374957 0.927042i \(-0.377657\pi\)
0.508938 + 0.860803i \(0.330038\pi\)
\(762\) −3.92641e7 1.00043e8i −0.0887422 0.226112i
\(763\) 5.03210e7 + 1.14854e7i 0.113286 + 0.0258568i