Properties

Label 43.6.c.a.6.5
Level $43$
Weight $6$
Character 43.6
Analytic conductor $6.897$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.5
Character \(\chi\) \(=\) 43.6
Dual form 43.6.c.a.36.5

$q$-expansion

\(f(q)\) \(=\) \(q-6.28648 q^{2} +(10.0721 - 17.4453i) q^{3} +7.51978 q^{4} +(38.9844 - 67.5229i) q^{5} +(-63.3177 + 109.670i) q^{6} +(4.83274 + 8.37056i) q^{7} +153.894 q^{8} +(-81.3925 - 140.976i) q^{9} +O(q^{10})\) \(q-6.28648 q^{2} +(10.0721 - 17.4453i) q^{3} +7.51978 q^{4} +(38.9844 - 67.5229i) q^{5} +(-63.3177 + 109.670i) q^{6} +(4.83274 + 8.37056i) q^{7} +153.894 q^{8} +(-81.3925 - 140.976i) q^{9} +(-245.074 + 424.481i) q^{10} -186.774 q^{11} +(75.7397 - 131.185i) q^{12} +(-333.447 - 577.548i) q^{13} +(-30.3809 - 52.6213i) q^{14} +(-785.306 - 1360.19i) q^{15} -1208.09 q^{16} +(-506.517 - 877.313i) q^{17} +(511.672 + 886.242i) q^{18} +(-510.806 + 884.742i) q^{19} +(293.154 - 507.758i) q^{20} +194.703 q^{21} +1174.15 q^{22} +(-359.501 + 622.675i) q^{23} +(1550.03 - 2684.73i) q^{24} +(-1477.07 - 2558.35i) q^{25} +(2096.21 + 3630.74i) q^{26} +1615.86 q^{27} +(36.3412 + 62.9448i) q^{28} +(2473.93 + 4284.97i) q^{29} +(4936.81 + 8550.80i) q^{30} +(-1884.73 + 3264.45i) q^{31} +2669.99 q^{32} +(-1881.20 + 3258.33i) q^{33} +(3184.21 + 5515.21i) q^{34} +753.606 q^{35} +(-612.054 - 1060.11i) q^{36} +(7597.92 - 13160.0i) q^{37} +(3211.17 - 5561.91i) q^{38} -13434.0 q^{39} +(5999.48 - 10391.4i) q^{40} -11668.9 q^{41} -1223.99 q^{42} +(3015.80 - 11743.7i) q^{43} -1404.50 q^{44} -12692.2 q^{45} +(2260.00 - 3914.43i) q^{46} +10416.6 q^{47} +(-12167.9 + 21075.4i) q^{48} +(8356.79 - 14474.4i) q^{49} +(9285.53 + 16083.0i) q^{50} -20406.7 q^{51} +(-2507.45 - 4343.03i) q^{52} +(-11449.6 + 19831.2i) q^{53} -10158.1 q^{54} +(-7281.26 + 12611.5i) q^{55} +(743.732 + 1288.18i) q^{56} +(10289.7 + 17822.3i) q^{57} +(-15552.3 - 26937.4i) q^{58} +37264.8 q^{59} +(-5905.33 - 10228.3i) q^{60} +(-5923.36 - 10259.6i) q^{61} +(11848.3 - 20521.9i) q^{62} +(786.698 - 1362.60i) q^{63} +21873.9 q^{64} -51996.9 q^{65} +(11826.1 - 20483.4i) q^{66} +(29789.5 - 51597.0i) q^{67} +(-3808.90 - 6597.20i) q^{68} +(7241.84 + 12543.2i) q^{69} -4737.53 q^{70} +(4851.06 + 8402.29i) q^{71} +(-12525.8 - 21695.4i) q^{72} +(38551.9 + 66773.8i) q^{73} +(-47764.2 + 82730.0i) q^{74} -59508.3 q^{75} +(-3841.15 + 6653.07i) q^{76} +(-902.630 - 1563.40i) q^{77} +84452.5 q^{78} +(-45037.2 - 78006.7i) q^{79} +(-47096.5 + 81573.5i) q^{80} +(36053.4 - 62446.3i) q^{81} +73356.6 q^{82} +(8003.23 - 13862.0i) q^{83} +1464.12 q^{84} -78985.0 q^{85} +(-18958.7 + 73826.2i) q^{86} +99670.2 q^{87} -28743.4 q^{88} +(37970.7 - 65767.2i) q^{89} +79788.9 q^{90} +(3222.93 - 5582.28i) q^{91} +(-2703.37 + 4682.38i) q^{92} +(37966.2 + 65759.4i) q^{93} -65483.5 q^{94} +(39826.9 + 68982.2i) q^{95} +(26892.2 - 46578.7i) q^{96} -80908.6 q^{97} +(-52534.8 + 90992.9i) q^{98} +(15202.0 + 26330.6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} + O(q^{10}) \) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} - 317q^{10} + 1326q^{11} - 648q^{12} + 1006q^{13} - 1272q^{14} + 683q^{15} + 3574q^{16} + 200q^{17} + 1861q^{18} + 3361q^{19} + 3825q^{20} - 1320q^{21} - 8768q^{22} + 560q^{23} - 7382q^{24} - 3232q^{25} - 3201q^{26} - 122q^{27} + 13934q^{28} + 8887q^{29} - 19449q^{30} - 6749q^{31} - 19086q^{32} + 7106q^{33} + 8423q^{34} + 31118q^{35} - 14112q^{36} - 4514q^{37} + 7072q^{38} - 5404q^{39} - 18519q^{40} - 28996q^{41} + 58118q^{42} - 14998q^{43} + 71050q^{44} - 92096q^{45} + 20052q^{46} - 10742q^{47} + 32927q^{48} + 7472q^{49} + 20362q^{50} + 20250q^{51} + 59532q^{52} - 50572q^{53} - 230084q^{54} + 38544q^{55} - 40355q^{56} - 18087q^{57} - 33436q^{58} + 112654q^{59} + 134093q^{60} - 20120q^{61} - 31491q^{62} + 188227q^{63} + 125164q^{64} - 36578q^{65} + 8803q^{66} - 73824q^{67} - 128456q^{68} + 8005q^{69} - 141610q^{70} + 142842q^{71} + 98466q^{72} - 91624q^{73} - 99720q^{74} + 298358q^{75} + 258288q^{76} + 68051q^{77} - 201116q^{78} + 99734q^{79} - 31261q^{80} - 28441q^{81} - 147772q^{82} - 47340q^{83} - 624232q^{84} - 71734q^{85} - 115526q^{86} - 215924q^{87} - 720684q^{88} + 60402q^{89} + 676108q^{90} + 164172q^{91} + 78997q^{92} - 40793q^{93} - 341874q^{94} + 123541q^{95} - 442140q^{96} + 318476q^{97} + 217473q^{98} - 134770q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.28648 −1.11130 −0.555651 0.831415i \(-0.687531\pi\)
−0.555651 + 0.831415i \(0.687531\pi\)
\(3\) 10.0721 17.4453i 0.646123 1.11912i −0.337918 0.941175i \(-0.609723\pi\)
0.984041 0.177942i \(-0.0569438\pi\)
\(4\) 7.51978 0.234993
\(5\) 38.9844 67.5229i 0.697374 1.20789i −0.272000 0.962297i \(-0.587685\pi\)
0.969374 0.245590i \(-0.0789816\pi\)
\(6\) −63.3177 + 109.670i −0.718038 + 1.24368i
\(7\) 4.83274 + 8.37056i 0.0372777 + 0.0645668i 0.884062 0.467369i \(-0.154798\pi\)
−0.846785 + 0.531936i \(0.821465\pi\)
\(8\) 153.894 0.850154
\(9\) −81.3925 140.976i −0.334949 0.580148i
\(10\) −245.074 + 424.481i −0.774993 + 1.34233i
\(11\) −186.774 −0.465408 −0.232704 0.972548i \(-0.574757\pi\)
−0.232704 + 0.972548i \(0.574757\pi\)
\(12\) 75.7397 131.185i 0.151834 0.262985i
\(13\) −333.447 577.548i −0.547229 0.947828i −0.998463 0.0554222i \(-0.982350\pi\)
0.451234 0.892405i \(-0.350984\pi\)
\(14\) −30.3809 52.6213i −0.0414267 0.0717532i
\(15\) −785.306 1360.19i −0.901178 1.56089i
\(16\) −1208.09 −1.17977
\(17\) −506.517 877.313i −0.425081 0.736262i 0.571347 0.820709i \(-0.306421\pi\)
−0.996428 + 0.0844468i \(0.973088\pi\)
\(18\) 511.672 + 886.242i 0.372229 + 0.644720i
\(19\) −510.806 + 884.742i −0.324618 + 0.562254i −0.981435 0.191796i \(-0.938569\pi\)
0.656817 + 0.754050i \(0.271902\pi\)
\(20\) 293.154 507.758i 0.163878 0.283845i
\(21\) 194.703 0.0963437
\(22\) 1174.15 0.517210
\(23\) −359.501 + 622.675i −0.141704 + 0.245438i −0.928138 0.372236i \(-0.878591\pi\)
0.786435 + 0.617674i \(0.211925\pi\)
\(24\) 1550.03 2684.73i 0.549304 0.951422i
\(25\) −1477.07 2558.35i −0.472661 0.818673i
\(26\) 2096.21 + 3630.74i 0.608136 + 1.05332i
\(27\) 1615.86 0.426574
\(28\) 36.3412 + 62.9448i 0.00876000 + 0.0151728i
\(29\) 2473.93 + 4284.97i 0.546251 + 0.946134i 0.998527 + 0.0542563i \(0.0172788\pi\)
−0.452276 + 0.891878i \(0.649388\pi\)
\(30\) 4936.81 + 8550.80i 1.00148 + 1.73462i
\(31\) −1884.73 + 3264.45i −0.352245 + 0.610106i −0.986642 0.162901i \(-0.947915\pi\)
0.634397 + 0.773007i \(0.281248\pi\)
\(32\) 2669.99 0.460929
\(33\) −1881.20 + 3258.33i −0.300711 + 0.520847i
\(34\) 3184.21 + 5515.21i 0.472393 + 0.818210i
\(35\) 753.606 0.103986
\(36\) −612.054 1060.11i −0.0787107 0.136331i
\(37\) 7597.92 13160.0i 0.912411 1.58034i 0.101763 0.994809i \(-0.467552\pi\)
0.810648 0.585534i \(-0.199115\pi\)
\(38\) 3211.17 5561.91i 0.360748 0.624834i
\(39\) −13434.0 −1.41431
\(40\) 5999.48 10391.4i 0.592875 1.02689i
\(41\) −11668.9 −1.08411 −0.542053 0.840344i \(-0.682353\pi\)
−0.542053 + 0.840344i \(0.682353\pi\)
\(42\) −1223.99 −0.107067
\(43\) 3015.80 11743.7i 0.248732 0.968572i
\(44\) −1404.50 −0.109368
\(45\) −12692.2 −0.934338
\(46\) 2260.00 3914.43i 0.157476 0.272756i
\(47\) 10416.6 0.687829 0.343914 0.939001i \(-0.388247\pi\)
0.343914 + 0.939001i \(0.388247\pi\)
\(48\) −12167.9 + 21075.4i −0.762277 + 1.32030i
\(49\) 8356.79 14474.4i 0.497221 0.861212i
\(50\) 9285.53 + 16083.0i 0.525269 + 0.909793i
\(51\) −20406.7 −1.09862
\(52\) −2507.45 4343.03i −0.128595 0.222733i
\(53\) −11449.6 + 19831.2i −0.559885 + 0.969749i 0.437620 + 0.899160i \(0.355821\pi\)
−0.997505 + 0.0705896i \(0.977512\pi\)
\(54\) −10158.1 −0.474052
\(55\) −7281.26 + 12611.5i −0.324564 + 0.562161i
\(56\) 743.732 + 1288.18i 0.0316917 + 0.0548917i
\(57\) 10289.7 + 17822.3i 0.419485 + 0.726570i
\(58\) −15552.3 26937.4i −0.607050 1.05144i
\(59\) 37264.8 1.39370 0.696850 0.717217i \(-0.254584\pi\)
0.696850 + 0.717217i \(0.254584\pi\)
\(60\) −5905.33 10228.3i −0.211771 0.366798i
\(61\) −5923.36 10259.6i −0.203819 0.353024i 0.745937 0.666016i \(-0.232002\pi\)
−0.949756 + 0.312992i \(0.898669\pi\)
\(62\) 11848.3 20521.9i 0.391451 0.678013i
\(63\) 786.698 1362.60i 0.0249722 0.0432531i
\(64\) 21873.9 0.667540
\(65\) −51996.9 −1.52649
\(66\) 11826.1 20483.4i 0.334181 0.578818i
\(67\) 29789.5 51597.0i 0.810731 1.40423i −0.101623 0.994823i \(-0.532403\pi\)
0.912353 0.409404i \(-0.134263\pi\)
\(68\) −3808.90 6597.20i −0.0998911 0.173017i
\(69\) 7241.84 + 12543.2i 0.183116 + 0.317166i
\(70\) −4737.53 −0.115560
\(71\) 4851.06 + 8402.29i 0.114207 + 0.197812i 0.917462 0.397823i \(-0.130234\pi\)
−0.803256 + 0.595634i \(0.796901\pi\)
\(72\) −12525.8 21695.4i −0.284758 0.493215i
\(73\) 38551.9 + 66773.8i 0.846718 + 1.46656i 0.884121 + 0.467258i \(0.154758\pi\)
−0.0374035 + 0.999300i \(0.511909\pi\)
\(74\) −47764.2 + 82730.0i −1.01396 + 1.75624i
\(75\) −59508.3 −1.22159
\(76\) −3841.15 + 6653.07i −0.0762829 + 0.132126i
\(77\) −902.630 1563.40i −0.0173493 0.0300499i
\(78\) 84452.5 1.57172
\(79\) −45037.2 78006.7i −0.811902 1.40625i −0.911532 0.411230i \(-0.865099\pi\)
0.0996300 0.995025i \(-0.468234\pi\)
\(80\) −47096.5 + 81573.5i −0.822742 + 1.42503i
\(81\) 36053.4 62446.3i 0.610567 1.05753i
\(82\) 73356.6 1.20477
\(83\) 8003.23 13862.0i 0.127518 0.220867i −0.795197 0.606352i \(-0.792632\pi\)
0.922714 + 0.385485i \(0.125966\pi\)
\(84\) 1464.12 0.0226401
\(85\) −78985.0 −1.18576
\(86\) −18958.7 + 73826.2i −0.276416 + 1.07638i
\(87\) 99670.2 1.41178
\(88\) −28743.4 −0.395669
\(89\) 37970.7 65767.2i 0.508129 0.880105i −0.491827 0.870693i \(-0.663671\pi\)
0.999956 0.00941217i \(-0.00299603\pi\)
\(90\) 79788.9 1.03833
\(91\) 3222.93 5582.28i 0.0407988 0.0706656i
\(92\) −2703.37 + 4682.38i −0.0332994 + 0.0576763i
\(93\) 37966.2 + 65759.4i 0.455187 + 0.788407i
\(94\) −65483.5 −0.764386
\(95\) 39826.9 + 68982.2i 0.452760 + 0.784203i
\(96\) 26892.2 46578.7i 0.297817 0.515833i
\(97\) −80908.6 −0.873102 −0.436551 0.899679i \(-0.643800\pi\)
−0.436551 + 0.899679i \(0.643800\pi\)
\(98\) −52534.8 + 90992.9i −0.552563 + 0.957067i
\(99\) 15202.0 + 26330.6i 0.155888 + 0.270006i
\(100\) −11107.2 19238.3i −0.111072 0.192383i
\(101\) 64204.3 + 111205.i 0.626269 + 1.08473i 0.988294 + 0.152561i \(0.0487522\pi\)
−0.362025 + 0.932168i \(0.617914\pi\)
\(102\) 128286. 1.22090
\(103\) 6137.06 + 10629.7i 0.0569990 + 0.0987252i 0.893117 0.449825i \(-0.148513\pi\)
−0.836118 + 0.548550i \(0.815180\pi\)
\(104\) −51315.6 88881.3i −0.465229 0.805799i
\(105\) 7590.36 13146.9i 0.0671876 0.116372i
\(106\) 71977.4 124668.i 0.622202 1.07768i
\(107\) 34934.3 0.294980 0.147490 0.989064i \(-0.452881\pi\)
0.147490 + 0.989064i \(0.452881\pi\)
\(108\) 12150.9 0.100242
\(109\) −64772.6 + 112189.i −0.522186 + 0.904452i 0.477481 + 0.878642i \(0.341550\pi\)
−0.999667 + 0.0258101i \(0.991783\pi\)
\(110\) 45773.5 79282.0i 0.360688 0.624731i
\(111\) −153053. 265096.i −1.17906 2.04219i
\(112\) −5838.37 10112.4i −0.0439791 0.0761741i
\(113\) 35849.9 0.264114 0.132057 0.991242i \(-0.457842\pi\)
0.132057 + 0.991242i \(0.457842\pi\)
\(114\) −64686.1 112040.i −0.466175 0.807439i
\(115\) 28029.9 + 48549.2i 0.197641 + 0.342324i
\(116\) 18603.4 + 32222.0i 0.128365 + 0.222335i
\(117\) −54280.2 + 94016.1i −0.366587 + 0.634947i
\(118\) −234264. −1.54882
\(119\) 4895.73 8479.66i 0.0316920 0.0548922i
\(120\) −120854. 209325.i −0.766140 1.32699i
\(121\) −126167. −0.783395
\(122\) 37237.1 + 64496.5i 0.226504 + 0.392317i
\(123\) −117530. + 203568.i −0.700466 + 1.21324i
\(124\) −14172.8 + 24547.9i −0.0827752 + 0.143371i
\(125\) 13322.5 0.0762625
\(126\) −4945.56 + 8565.96i −0.0277517 + 0.0480673i
\(127\) 209120. 1.15050 0.575251 0.817977i \(-0.304904\pi\)
0.575251 + 0.817977i \(0.304904\pi\)
\(128\) −222950. −1.20277
\(129\) −174496. 170894.i −0.923235 0.904176i
\(130\) 326878. 1.69639
\(131\) 201333. 1.02503 0.512516 0.858678i \(-0.328714\pi\)
0.512516 + 0.858678i \(0.328714\pi\)
\(132\) −14146.2 + 24501.9i −0.0706650 + 0.122395i
\(133\) −9874.37 −0.0484039
\(134\) −187271. + 324363.i −0.900967 + 1.56052i
\(135\) 62993.3 109108.i 0.297481 0.515253i
\(136\) −77950.1 135013.i −0.361384 0.625936i
\(137\) −203841. −0.927874 −0.463937 0.885868i \(-0.653564\pi\)
−0.463937 + 0.885868i \(0.653564\pi\)
\(138\) −45525.6 78852.7i −0.203497 0.352467i
\(139\) −190224. + 329478.i −0.835081 + 1.44640i 0.0588841 + 0.998265i \(0.481246\pi\)
−0.893965 + 0.448137i \(0.852088\pi\)
\(140\) 5666.95 0.0244360
\(141\) 104916. 181720.i 0.444422 0.769761i
\(142\) −30496.1 52820.8i −0.126918 0.219828i
\(143\) 62279.2 + 107871.i 0.254685 + 0.441127i
\(144\) 98329.2 + 170311.i 0.395163 + 0.684442i
\(145\) 385778. 1.52376
\(146\) −242356. 419772.i −0.940959 1.62979i
\(147\) −168340. 291574.i −0.642531 1.11290i
\(148\) 57134.7 98960.3i 0.214410 0.371370i
\(149\) 205344. 355667.i 0.757735 1.31244i −0.186268 0.982499i \(-0.559639\pi\)
0.944003 0.329936i \(-0.107027\pi\)
\(150\) 374098. 1.35755
\(151\) 463067. 1.65273 0.826363 0.563137i \(-0.190406\pi\)
0.826363 + 0.563137i \(0.190406\pi\)
\(152\) −78610.1 + 136157.i −0.275975 + 0.478002i
\(153\) −82453.4 + 142813.i −0.284761 + 0.493220i
\(154\) 5674.36 + 9828.28i 0.0192804 + 0.0333946i
\(155\) 146950. + 254525.i 0.491293 + 0.850945i
\(156\) −101021. −0.332353
\(157\) −136272. 236030.i −0.441222 0.764219i 0.556559 0.830808i \(-0.312121\pi\)
−0.997780 + 0.0665897i \(0.978788\pi\)
\(158\) 283125. + 490387.i 0.902268 + 1.56277i
\(159\) 230641. + 399482.i 0.723509 + 1.25315i
\(160\) 104088. 180285.i 0.321440 0.556750i
\(161\) −6949.51 −0.0211295
\(162\) −226649. + 392567.i −0.678525 + 1.17524i
\(163\) 206480. + 357634.i 0.608708 + 1.05431i 0.991454 + 0.130459i \(0.0416452\pi\)
−0.382746 + 0.923854i \(0.625021\pi\)
\(164\) −87748.0 −0.254758
\(165\) 146675. + 254048.i 0.419416 + 0.726450i
\(166\) −50312.1 + 87143.2i −0.141711 + 0.245450i
\(167\) −86367.9 + 149594.i −0.239641 + 0.415070i −0.960611 0.277896i \(-0.910363\pi\)
0.720970 + 0.692966i \(0.243696\pi\)
\(168\) 29963.6 0.0819070
\(169\) −36727.6 + 63614.1i −0.0989182 + 0.171331i
\(170\) 496537. 1.31774
\(171\) 166303. 0.434921
\(172\) 22678.1 88309.7i 0.0584502 0.227608i
\(173\) −313319. −0.795924 −0.397962 0.917402i \(-0.630282\pi\)
−0.397962 + 0.917402i \(0.630282\pi\)
\(174\) −626574. −1.56891
\(175\) 14276.6 24727.7i 0.0352394 0.0610364i
\(176\) 225639. 0.549076
\(177\) 375333. 650096.i 0.900501 1.55971i
\(178\) −238702. + 413444.i −0.564685 + 0.978063i
\(179\) 171933. + 297797.i 0.401077 + 0.694685i 0.993856 0.110680i \(-0.0353027\pi\)
−0.592779 + 0.805365i \(0.701969\pi\)
\(180\) −95442.2 −0.219563
\(181\) −287968. 498774.i −0.653352 1.13164i −0.982304 0.187292i \(-0.940029\pi\)
0.328953 0.944346i \(-0.393304\pi\)
\(182\) −20260.9 + 35092.9i −0.0453398 + 0.0785308i
\(183\) −238642. −0.526767
\(184\) −55325.2 + 95826.1i −0.120470 + 0.208660i
\(185\) −592401. 1.02607e6i −1.27258 2.20418i
\(186\) −238674. 413395.i −0.505850 0.876159i
\(187\) 94604.1 + 163859.i 0.197836 + 0.342662i
\(188\) 78330.4 0.161635
\(189\) 7809.03 + 13525.6i 0.0159017 + 0.0275425i
\(190\) −250371. 433655.i −0.503153 0.871486i
\(191\) −22025.6 + 38149.5i −0.0436862 + 0.0756667i −0.887042 0.461689i \(-0.847244\pi\)
0.843356 + 0.537356i \(0.180577\pi\)
\(192\) 220316. 381598.i 0.431313 0.747055i
\(193\) 32365.8 0.0625451 0.0312726 0.999511i \(-0.490044\pi\)
0.0312726 + 0.999511i \(0.490044\pi\)
\(194\) 508630. 0.970281
\(195\) −523716. + 907103.i −0.986301 + 1.70832i
\(196\) 62841.2 108844.i 0.116844 0.202379i
\(197\) 234644. + 406415.i 0.430768 + 0.746112i 0.996940 0.0781754i \(-0.0249094\pi\)
−0.566172 + 0.824287i \(0.691576\pi\)
\(198\) −95567.0 165527.i −0.173239 0.300058i
\(199\) −931.548 −0.00166753 −0.000833763 1.00000i \(-0.500265\pi\)
−0.000833763 1.00000i \(0.500265\pi\)
\(200\) −227312. 393716.i −0.401834 0.695998i
\(201\) −600083. 1.03937e6i −1.04766 1.81460i
\(202\) −403619. 699089.i −0.695974 1.20546i
\(203\) −23911.7 + 41416.3i −0.0407259 + 0.0705393i
\(204\) −153454. −0.258168
\(205\) −454907. + 787922.i −0.756028 + 1.30948i
\(206\) −38580.5 66823.3i −0.0633431 0.109714i
\(207\) 117043. 0.189854
\(208\) 402833. + 697727.i 0.645605 + 1.11822i
\(209\) 95405.2 165247.i 0.151080 0.261678i
\(210\) −47716.6 + 82647.6i −0.0746658 + 0.129325i
\(211\) 286371. 0.442816 0.221408 0.975181i \(-0.428935\pi\)
0.221408 + 0.975181i \(0.428935\pi\)
\(212\) −86098.2 + 149126.i −0.131569 + 0.227885i
\(213\) 195441. 0.295166
\(214\) −219614. −0.327812
\(215\) −675397. 661455.i −0.996467 0.975897i
\(216\) 248671. 0.362653
\(217\) −36433.7 −0.0525235
\(218\) 407191. 705276.i 0.580306 1.00512i
\(219\) 1.55319e6 2.18833
\(220\) −54753.5 + 94835.9i −0.0762703 + 0.132104i
\(221\) −337793. + 585075.i −0.465233 + 0.805807i
\(222\) 962166. + 1.66652e6i 1.31029 + 2.26949i
\(223\) −355591. −0.478839 −0.239419 0.970916i \(-0.576957\pi\)
−0.239419 + 0.970916i \(0.576957\pi\)
\(224\) 12903.4 + 22349.3i 0.0171823 + 0.0297607i
\(225\) −240444. + 416461.i −0.316634 + 0.548427i
\(226\) −225369. −0.293511
\(227\) −515120. + 892214.i −0.663504 + 1.14922i 0.316184 + 0.948698i \(0.397598\pi\)
−0.979689 + 0.200525i \(0.935735\pi\)
\(228\) 77376.5 + 134020.i 0.0985762 + 0.170739i
\(229\) −131043. 226973.i −0.165130 0.286013i 0.771572 0.636142i \(-0.219471\pi\)
−0.936701 + 0.350130i \(0.886138\pi\)
\(230\) −176209. 305203.i −0.219639 0.380426i
\(231\) −36365.3 −0.0448392
\(232\) 380723. + 659432.i 0.464397 + 0.804360i
\(233\) 288976. + 500521.i 0.348716 + 0.603993i 0.986022 0.166618i \(-0.0532846\pi\)
−0.637306 + 0.770611i \(0.719951\pi\)
\(234\) 341231. 591030.i 0.407389 0.705618i
\(235\) 406084. 703358.i 0.479674 0.830819i
\(236\) 280223. 0.327510
\(237\) −1.81447e6 −2.09835
\(238\) −30776.9 + 53307.2i −0.0352194 + 0.0610019i
\(239\) 326647. 565769.i 0.369899 0.640685i −0.619650 0.784878i \(-0.712725\pi\)
0.989550 + 0.144194i \(0.0460588\pi\)
\(240\) 948717. + 1.64323e6i 1.06318 + 1.84149i
\(241\) −603340. 1.04501e6i −0.669144 1.15899i −0.978144 0.207929i \(-0.933328\pi\)
0.309000 0.951062i \(-0.400006\pi\)
\(242\) 793143. 0.870589
\(243\) −529937. 917877.i −0.575716 0.997169i
\(244\) −44542.4 77149.7i −0.0478960 0.0829583i
\(245\) −651569. 1.12855e6i −0.693498 1.20117i
\(246\) 738851. 1.27973e6i 0.778430 1.34828i
\(247\) 681307. 0.710560
\(248\) −290049. + 502380.i −0.299463 + 0.518684i
\(249\) −161218. 279238.i −0.164784 0.285414i
\(250\) −83751.6 −0.0847507
\(251\) 323082. + 559595.i 0.323690 + 0.560647i 0.981246 0.192758i \(-0.0617433\pi\)
−0.657557 + 0.753405i \(0.728410\pi\)
\(252\) 5915.80 10246.5i 0.00586830 0.0101642i
\(253\) 67145.5 116299.i 0.0659501 0.114229i
\(254\) −1.31463e6 −1.27856
\(255\) −795541. + 1.37792e6i −0.766147 + 1.32701i
\(256\) 701601. 0.669099
\(257\) 1.60197e6 1.51294 0.756471 0.654027i \(-0.226922\pi\)
0.756471 + 0.654027i \(0.226922\pi\)
\(258\) 1.09697e6 + 1.07432e6i 1.02599 + 1.00481i
\(259\) 146875. 0.136050
\(260\) −391006. −0.358715
\(261\) 402719. 697529.i 0.365932 0.633813i
\(262\) −1.26568e6 −1.13912
\(263\) 430251. 745216.i 0.383559 0.664344i −0.608009 0.793930i \(-0.708032\pi\)
0.991568 + 0.129586i \(0.0413649\pi\)
\(264\) −289505. + 501438.i −0.255651 + 0.442800i
\(265\) 892708. + 1.54622e6i 0.780899 + 1.35256i
\(266\) 62075.0 0.0537914
\(267\) −764887. 1.32482e6i −0.656627 1.13731i
\(268\) 224011. 387998.i 0.190516 0.329984i
\(269\) −441247. −0.371793 −0.185896 0.982569i \(-0.559519\pi\)
−0.185896 + 0.982569i \(0.559519\pi\)
\(270\) −396006. + 685902.i −0.330592 + 0.572602i
\(271\) −1.17916e6 2.04237e6i −0.975326 1.68931i −0.678856 0.734271i \(-0.737524\pi\)
−0.296469 0.955042i \(-0.595809\pi\)
\(272\) 611916. + 1.05987e6i 0.501498 + 0.868621i
\(273\) −64923.0 112450.i −0.0527220 0.0913172i
\(274\) 1.28144e6 1.03115
\(275\) 275877. + 477833.i 0.219980 + 0.381017i
\(276\) 54457.0 + 94322.3i 0.0430310 + 0.0745319i
\(277\) −856545. + 1.48358e6i −0.670735 + 1.16175i 0.306961 + 0.951722i \(0.400688\pi\)
−0.977696 + 0.210025i \(0.932645\pi\)
\(278\) 1.19584e6 2.07125e6i 0.928027 1.60739i
\(279\) 613612. 0.471936
\(280\) 115976. 0.0884040
\(281\) −938419. + 1.62539e6i −0.708975 + 1.22798i 0.256263 + 0.966607i \(0.417509\pi\)
−0.965238 + 0.261374i \(0.915825\pi\)
\(282\) −659554. + 1.14238e6i −0.493887 + 0.855437i
\(283\) 435133. + 753672.i 0.322965 + 0.559392i 0.981098 0.193510i \(-0.0619870\pi\)
−0.658133 + 0.752901i \(0.728654\pi\)
\(284\) 36478.9 + 63183.4i 0.0268378 + 0.0464844i
\(285\) 1.60456e6 1.17015
\(286\) −391517. 678127.i −0.283032 0.490226i
\(287\) −56393.0 97675.6i −0.0404130 0.0699973i
\(288\) −217317. 376404.i −0.154388 0.267407i
\(289\) 196810. 340885.i 0.138612 0.240084i
\(290\) −2.42519e6 −1.69336
\(291\) −814915. + 1.41147e6i −0.564131 + 0.977104i
\(292\) 289902. + 502125.i 0.198973 + 0.344631i
\(293\) 216695. 0.147462 0.0737311 0.997278i \(-0.476509\pi\)
0.0737311 + 0.997278i \(0.476509\pi\)
\(294\) 1.05827e6 + 1.83297e6i 0.714046 + 1.23676i
\(295\) 1.45275e6 2.51623e6i 0.971930 1.68343i
\(296\) 1.16928e6 2.02525e6i 0.775690 1.34353i
\(297\) −301800. −0.198531
\(298\) −1.29089e6 + 2.23589e6i −0.842073 + 1.45851i
\(299\) 479499. 0.310177
\(300\) −447490. −0.287065
\(301\) 112875. 31510.2i 0.0718097 0.0200463i
\(302\) −2.91106e6 −1.83668
\(303\) 2.58668e6 1.61859
\(304\) 617097. 1.06884e6i 0.382974 0.663331i
\(305\) −923675. −0.568551
\(306\) 518341. 897793.i 0.316455 0.548116i
\(307\) −92551.3 + 160304.i −0.0560450 + 0.0970727i −0.892687 0.450678i \(-0.851182\pi\)
0.836642 + 0.547750i \(0.184516\pi\)
\(308\) −6787.58 11756.4i −0.00407698 0.00706153i
\(309\) 247251. 0.147313
\(310\) −923798. 1.60007e6i −0.545975 0.945657i
\(311\) 168546. 291930.i 0.0988136 0.171150i −0.812380 0.583128i \(-0.801829\pi\)
0.911194 + 0.411978i \(0.135162\pi\)
\(312\) −2.06742e6 −1.20238
\(313\) −487742. + 844794.i −0.281403 + 0.487405i −0.971731 0.236092i \(-0.924133\pi\)
0.690327 + 0.723497i \(0.257467\pi\)
\(314\) 856670. + 1.48380e6i 0.490331 + 0.849278i
\(315\) −61337.9 106240.i −0.0348299 0.0603272i
\(316\) −338670. 586593.i −0.190791 0.330460i
\(317\) −1.24802e6 −0.697548 −0.348774 0.937207i \(-0.613402\pi\)
−0.348774 + 0.937207i \(0.613402\pi\)
\(318\) −1.44992e6 2.51133e6i −0.804037 1.39263i
\(319\) −462065. 800320.i −0.254230 0.440339i
\(320\) 852742. 1.47699e6i 0.465525 0.806313i
\(321\) 351860. 609440.i 0.190593 0.330117i
\(322\) 43687.9 0.0234813
\(323\) 1.03493e6 0.551955
\(324\) 271114. 469583.i 0.143479 0.248513i
\(325\) −985047. + 1.70615e6i −0.517307 + 0.896002i
\(326\) −1.29803e6 2.24826e6i −0.676459 1.17166i
\(327\) 1.30479e6 + 2.25996e6i 0.674792 + 1.16877i
\(328\) −1.79578e6 −0.921658
\(329\) 50340.6 + 87192.5i 0.0256406 + 0.0444109i
\(330\) −922066. 1.59707e6i −0.466098 0.807305i
\(331\) 1.91017e6 + 3.30851e6i 0.958302 + 1.65983i 0.726624 + 0.687035i \(0.241088\pi\)
0.231678 + 0.972793i \(0.425579\pi\)
\(332\) 60182.6 104239.i 0.0299658 0.0519022i
\(333\) −2.47366e6 −1.22244
\(334\) 542950. 940416.i 0.266314 0.461269i
\(335\) −2.32265e6 4.02295e6i −1.13076 1.95854i
\(336\) −235217. −0.113664
\(337\) 1.37266e6 + 2.37752e6i 0.658397 + 1.14038i 0.981031 + 0.193853i \(0.0620986\pi\)
−0.322633 + 0.946524i \(0.604568\pi\)
\(338\) 230887. 399909.i 0.109928 0.190401i
\(339\) 361082. 625412.i 0.170650 0.295575i
\(340\) −593950. −0.278646
\(341\) 352018. 609713.i 0.163938 0.283949i
\(342\) −1.04546e6 −0.483329
\(343\) 323993. 0.148696
\(344\) 464114. 1.80728e6i 0.211460 0.823436i
\(345\) 1.12927e6 0.510801
\(346\) 1.96967e6 0.884512
\(347\) −32149.3 + 55684.2i −0.0143334 + 0.0248261i −0.873103 0.487536i \(-0.837896\pi\)
0.858770 + 0.512362i \(0.171229\pi\)
\(348\) 749498. 0.331759
\(349\) −1.03543e6 + 1.79342e6i −0.455048 + 0.788166i −0.998691 0.0511505i \(-0.983711\pi\)
0.543643 + 0.839316i \(0.317045\pi\)
\(350\) −89749.2 + 155450.i −0.0391616 + 0.0678299i
\(351\) −538804. 933235.i −0.233433 0.404318i
\(352\) −498683. −0.214520
\(353\) 514516. + 891167.i 0.219767 + 0.380647i 0.954737 0.297453i \(-0.0961371\pi\)
−0.734970 + 0.678100i \(0.762804\pi\)
\(354\) −2.35952e6 + 4.08682e6i −1.00073 + 1.73331i
\(355\) 756463. 0.318579
\(356\) 285532. 494555.i 0.119407 0.206819i
\(357\) −98620.1 170815.i −0.0409539 0.0709342i
\(358\) −1.08085e6 1.87210e6i −0.445718 0.772006i
\(359\) 1.17412e6 + 2.03363e6i 0.480811 + 0.832790i 0.999758 0.0220172i \(-0.00700886\pi\)
−0.518946 + 0.854807i \(0.673676\pi\)
\(360\) −1.95325e6 −0.794331
\(361\) 716204. + 1.24050e6i 0.289247 + 0.500990i
\(362\) 1.81030e6 + 3.13553e6i 0.726071 + 1.25759i
\(363\) −1.27076e6 + 2.20101e6i −0.506169 + 0.876711i
\(364\) 24235.7 41977.5i 0.00958744 0.0166059i
\(365\) 6.01169e6 2.36192
\(366\) 1.50022e6 0.585398
\(367\) −1.38661e6 + 2.40169e6i −0.537391 + 0.930789i 0.461652 + 0.887061i \(0.347257\pi\)
−0.999043 + 0.0437281i \(0.986076\pi\)
\(368\) 434309. 752245.i 0.167178 0.289561i
\(369\) 949765. + 1.64504e6i 0.363120 + 0.628943i
\(370\) 3.72411e6 + 6.45035e6i 1.41423 + 2.44951i
\(371\) −221331. −0.0834848
\(372\) 285498. + 494496.i 0.106966 + 0.185270i
\(373\) −1.71280e6 2.96666e6i −0.637434 1.10407i −0.985994 0.166781i \(-0.946663\pi\)
0.348560 0.937286i \(-0.386671\pi\)
\(374\) −594726. 1.03010e6i −0.219856 0.380802i
\(375\) 134185. 232415.i 0.0492749 0.0853466i
\(376\) 1.60305e6 0.584760
\(377\) 1.64985e6 2.85762e6i 0.597848 1.03550i
\(378\) −49091.3 85028.6i −0.0176716 0.0306080i
\(379\) −1.39653e6 −0.499403 −0.249702 0.968323i \(-0.580333\pi\)
−0.249702 + 0.968323i \(0.580333\pi\)
\(380\) 299490. + 518731.i 0.106395 + 0.184282i
\(381\) 2.10627e6 3.64817e6i 0.743365 1.28755i
\(382\) 138463. 239826.i 0.0485486 0.0840886i
\(383\) 4.31485e6 1.50304 0.751518 0.659713i \(-0.229322\pi\)
0.751518 + 0.659713i \(0.229322\pi\)
\(384\) −2.24556e6 + 3.88942e6i −0.777135 + 1.34604i
\(385\) −140754. −0.0483959
\(386\) −203467. −0.0695066
\(387\) −1.90104e6 + 530691.i −0.645228 + 0.180121i
\(388\) −608415. −0.205173
\(389\) 2.72557e6 0.913236 0.456618 0.889663i \(-0.349061\pi\)
0.456618 + 0.889663i \(0.349061\pi\)
\(390\) 3.29233e6 5.70248e6i 1.09608 1.89846i
\(391\) 728374. 0.240942
\(392\) 1.28606e6 2.22753e6i 0.422714 0.732162i
\(393\) 2.02784e6 3.51232e6i 0.662296 1.14713i
\(394\) −1.47508e6 2.55492e6i −0.478713 0.829156i
\(395\) −7.02299e6 −2.26480
\(396\) 114316. + 198001.i 0.0366326 + 0.0634495i
\(397\) 412186. 713928.i 0.131255 0.227341i −0.792905 0.609345i \(-0.791433\pi\)
0.924161 + 0.382004i \(0.124766\pi\)
\(398\) 5856.16 0.00185313
\(399\) −99455.2 + 172262.i −0.0312749 + 0.0541697i
\(400\) 1.78442e6 + 3.09071e6i 0.557632 + 0.965847i
\(401\) −519930. 900546.i −0.161467 0.279669i 0.773928 0.633274i \(-0.218289\pi\)
−0.935395 + 0.353604i \(0.884956\pi\)
\(402\) 3.77241e6 + 6.53401e6i 1.16427 + 2.01658i
\(403\) 2.51383e6 0.771034
\(404\) 482803. + 836239.i 0.147169 + 0.254904i
\(405\) −2.81104e6 4.86886e6i −0.851588 1.47499i
\(406\) 150320. 260363.i 0.0452588 0.0783905i
\(407\) −1.41909e6 + 2.45794e6i −0.424644 + 0.735505i
\(408\) −3.14047e6 −0.933994
\(409\) −4.98218e6 −1.47269 −0.736345 0.676606i \(-0.763450\pi\)
−0.736345 + 0.676606i \(0.763450\pi\)
\(410\) 2.85976e6 4.95325e6i 0.840176 1.45523i
\(411\) −2.05309e6 + 3.55606e6i −0.599520 + 1.03840i
\(412\) 46149.4 + 79933.0i 0.0133944 + 0.0231997i
\(413\) 180091. + 311927.i 0.0519538 + 0.0899867i
\(414\) −735788. −0.210985
\(415\) −624002. 1.08080e6i −0.177855 0.308054i
\(416\) −890299. 1.54204e6i −0.252233 0.436881i
\(417\) 3.83189e6 + 6.63703e6i 1.07913 + 1.86911i
\(418\) −599762. + 1.03882e6i −0.167895 + 0.290803i
\(419\) −6.25082e6 −1.73941 −0.869705 0.493571i \(-0.835691\pi\)
−0.869705 + 0.493571i \(0.835691\pi\)
\(420\) 57077.9 98861.8i 0.0157886 0.0273467i
\(421\) −2.97298e6 5.14935e6i −0.817497 1.41595i −0.907521 0.420007i \(-0.862028\pi\)
0.0900234 0.995940i \(-0.471306\pi\)
\(422\) −1.80027e6 −0.492103
\(423\) −847831. 1.46849e6i −0.230387 0.399042i
\(424\) −1.76202e6 + 3.05191e6i −0.475989 + 0.824436i
\(425\) −1.49632e6 + 2.59170e6i −0.401838 + 0.696004i
\(426\) −1.22863e6 −0.328018
\(427\) 57252.2 99163.7i 0.0151958 0.0263198i
\(428\) 262698. 0.0693183
\(429\) 2.50912e6 0.658230
\(430\) 4.24587e6 + 4.15822e6i 1.10738 + 1.08452i
\(431\) −578122. −0.149909 −0.0749543 0.997187i \(-0.523881\pi\)
−0.0749543 + 0.997187i \(0.523881\pi\)
\(432\) −1.95210e6 −0.503259
\(433\) −523790. + 907231.i −0.134257 + 0.232540i −0.925313 0.379203i \(-0.876198\pi\)
0.791056 + 0.611743i \(0.209532\pi\)
\(434\) 229039. 0.0583695
\(435\) 3.88558e6 6.73002e6i 0.984539 1.70527i
\(436\) −487076. + 843640.i −0.122710 + 0.212540i
\(437\) −367271. 636132.i −0.0919990 0.159347i
\(438\) −9.76407e6 −2.43190
\(439\) 1.05066e6 + 1.81980e6i 0.260197 + 0.450674i 0.966294 0.257441i \(-0.0828793\pi\)
−0.706097 + 0.708115i \(0.749546\pi\)
\(440\) −1.12054e6 + 1.94084e6i −0.275929 + 0.477923i
\(441\) −2.72072e6 −0.666174
\(442\) 2.12353e6 3.67806e6i 0.517014 0.895495i
\(443\) 1.80645e6 + 3.12886e6i 0.437338 + 0.757491i 0.997483 0.0709033i \(-0.0225882\pi\)
−0.560146 + 0.828394i \(0.689255\pi\)
\(444\) −1.15093e6 1.99347e6i −0.277071 0.479901i
\(445\) −2.96053e6 5.12779e6i −0.708712 1.22753i
\(446\) 2.23542e6 0.532135
\(447\) −4.13648e6 7.16459e6i −0.979179 1.69599i
\(448\) 105711. + 183097.i 0.0248843 + 0.0431009i
\(449\) −3.61136e6 + 6.25506e6i −0.845386 + 1.46425i 0.0399003 + 0.999204i \(0.487296\pi\)
−0.885286 + 0.465047i \(0.846037\pi\)
\(450\) 1.51155e6 2.61807e6i 0.351876 0.609468i
\(451\) 2.17945e6 0.504553
\(452\) 269583. 0.0620650
\(453\) 4.66403e6 8.07834e6i 1.06786 1.84959i
\(454\) 3.23829e6 5.60888e6i 0.737354 1.27713i
\(455\) −251288. 435243.i −0.0569040 0.0985607i
\(456\) 1.58353e6 + 2.74276e6i 0.356627 + 0.617696i
\(457\) −2.01242e6 −0.450743 −0.225372 0.974273i \(-0.572360\pi\)
−0.225372 + 0.974273i \(0.572360\pi\)
\(458\) 823798. + 1.42686e6i 0.183509 + 0.317847i
\(459\) −818460. 1.41761e6i −0.181328 0.314070i
\(460\) 210779. + 365079.i 0.0464443 + 0.0804438i
\(461\) −3.82299e6 + 6.62162e6i −0.837821 + 1.45115i 0.0538918 + 0.998547i \(0.482837\pi\)
−0.891713 + 0.452602i \(0.850496\pi\)
\(462\) 228610. 0.0498299
\(463\) 851580. 1.47498e6i 0.184618 0.319767i −0.758830 0.651289i \(-0.774229\pi\)
0.943448 + 0.331522i \(0.107562\pi\)
\(464\) −2.98872e6 5.17661e6i −0.644451 1.11622i
\(465\) 5.92036e6 1.26974
\(466\) −1.81664e6 3.14651e6i −0.387529 0.671219i
\(467\) 2.49201e6 4.31629e6i 0.528758 0.915837i −0.470679 0.882304i \(-0.655991\pi\)
0.999438 0.0335321i \(-0.0106756\pi\)
\(468\) −408176. + 706981.i −0.0861454 + 0.149208i
\(469\) 575860. 0.120889
\(470\) −2.55284e6 + 4.42164e6i −0.533063 + 0.923292i
\(471\) −5.49015e6 −1.14033
\(472\) 5.73484e6 1.18486
\(473\) −563272. + 2.19341e6i −0.115762 + 0.450782i
\(474\) 1.14066e7 2.33190
\(475\) 3.01797e6 0.613736
\(476\) 36814.8 63765.2i 0.00744741 0.0128993i
\(477\) 3.72763e6 0.750131
\(478\) −2.05346e6 + 3.55669e6i −0.411070 + 0.711994i
\(479\) −3.69922e6 + 6.40724e6i −0.736668 + 1.27595i 0.217320 + 0.976100i \(0.430268\pi\)
−0.953988 + 0.299846i \(0.903065\pi\)
\(480\) −2.09676e6 3.63169e6i −0.415379 0.719458i
\(481\) −1.01340e7 −1.99719
\(482\) 3.79288e6 + 6.56946e6i 0.743621 + 1.28799i
\(483\) −69995.9 + 121236.i −0.0136523 + 0.0236464i
\(484\) −948745. −0.184093
\(485\) −3.15417e6 + 5.46318e6i −0.608879 + 1.05461i
\(486\) 3.33143e6 + 5.77021e6i 0.639795 + 1.10816i
\(487\) −1.07418e6 1.86054e6i −0.205237 0.355481i 0.744971 0.667097i \(-0.232463\pi\)
−0.950208 + 0.311615i \(0.899130\pi\)
\(488\) −911572. 1.57889e6i −0.173277 0.300125i
\(489\) 8.31871e6 1.57320
\(490\) 4.09607e6 + 7.09460e6i 0.770686 + 1.33487i
\(491\) 5.08635e6 + 8.80982e6i 0.952144 + 1.64916i 0.740773 + 0.671755i \(0.234459\pi\)
0.211371 + 0.977406i \(0.432207\pi\)
\(492\) −883802. + 1.53079e6i −0.164605 + 0.285104i
\(493\) 2.50617e6 4.34082e6i 0.464402 0.804367i
\(494\) −4.28302e6 −0.789647
\(495\) 2.37056e6 0.434849
\(496\) 2.27692e6 3.94373e6i 0.415569 0.719786i
\(497\) −46887.9 + 81212.2i −0.00851470 + 0.0147479i
\(498\) 1.01349e6 + 1.75542e6i 0.183125 + 0.317182i
\(499\) −1.95088e6 3.37902e6i −0.350734 0.607490i 0.635644 0.771982i \(-0.280735\pi\)
−0.986378 + 0.164493i \(0.947401\pi\)
\(500\) 100182. 0.0179212
\(501\) 1.73980e6 + 3.01343e6i 0.309675 + 0.536373i
\(502\) −2.03105e6 3.51788e6i −0.359717 0.623048i
\(503\) −1.88506e6 3.26502e6i −0.332205 0.575395i 0.650739 0.759301i \(-0.274459\pi\)
−0.982944 + 0.183906i \(0.941126\pi\)
\(504\) 121068. 209697.i 0.0212302 0.0367718i
\(505\) 1.00119e7 1.74697
\(506\) −422108. + 731113.i −0.0732905 + 0.126943i
\(507\) 739845. + 1.28145e6i 0.127827 + 0.221402i
\(508\) 1.57254e6 0.270360
\(509\) −1.41272e6 2.44690e6i −0.241692 0.418622i 0.719505 0.694488i \(-0.244369\pi\)
−0.961196 + 0.275865i \(0.911036\pi\)
\(510\) 5.00115e6 8.66225e6i 0.851421 1.47470i
\(511\) −372623. + 645402.i −0.0631273 + 0.109340i
\(512\) 2.72379e6 0.459197
\(513\) −825390. + 1.42962e6i −0.138473 + 0.239843i
\(514\) −1.00708e7 −1.68134
\(515\) 956998. 0.158998
\(516\) −1.31218e6 1.28509e6i −0.216954 0.212475i
\(517\) −1.94554e6 −0.320121
\(518\) −923328. −0.151193
\(519\) −3.15577e6 + 5.46595e6i −0.514264 + 0.890732i
\(520\) −8.00203e6 −1.29775
\(521\) 825108. 1.42913e6i 0.133173 0.230663i −0.791725 0.610878i \(-0.790817\pi\)
0.924898 + 0.380215i \(0.124150\pi\)
\(522\) −2.53168e6 + 4.38500e6i −0.406661 + 0.704358i
\(523\) −1.87718e6 3.25137e6i −0.300090 0.519771i 0.676066 0.736841i \(-0.263683\pi\)
−0.976156 + 0.217070i \(0.930350\pi\)
\(524\) 1.51398e6 0.240875
\(525\) −287588. 498118.i −0.0455379 0.0788740i
\(526\) −2.70476e6 + 4.68479e6i −0.426250 + 0.738287i
\(527\) 3.81859e6 0.598931
\(528\) 2.27265e6 3.93634e6i 0.354770 0.614480i
\(529\) 2.95969e6 + 5.12633e6i 0.459840 + 0.796466i
\(530\) −5.61199e6 9.72025e6i −0.867815 1.50310i
\(531\) −3.03308e6 5.25345e6i −0.466818 0.808552i
\(532\) −74253.2 −0.0113746
\(533\) 3.89098e6 + 6.73937e6i 0.593254 + 1.02755i
\(534\) 4.80844e6 + 8.32846e6i 0.729711 + 1.26390i
\(535\) 1.36189e6 2.35887e6i 0.205711 0.356302i
\(536\) 4.58444e6 7.94048e6i 0.689246 1.19381i
\(537\) 6.92689e6 1.03658
\(538\) 2.77389e6 0.413174
\(539\) −1.56083e6 + 2.70344e6i −0.231411 + 0.400815i
\(540\) 473696. 820465.i 0.0699061 0.121081i
\(541\) 1.49350e6 + 2.58682e6i 0.219388 + 0.379991i 0.954621 0.297823i \(-0.0962607\pi\)
−0.735233 + 0.677814i \(0.762927\pi\)
\(542\) 7.41276e6 + 1.28393e7i 1.08388 + 1.87734i
\(543\) −1.16017e7 −1.68858
\(544\) −1.35239e6 2.34241e6i −0.195932 0.339364i
\(545\) 5.05024e6 + 8.74727e6i 0.728317 + 1.26148i
\(546\) 408137. + 706914.i 0.0585901 + 0.101481i
\(547\) 4.45149e6 7.71020e6i 0.636117 1.10179i −0.350161 0.936690i \(-0.613873\pi\)
0.986277 0.165097i \(-0.0527936\pi\)
\(548\) −1.53284e6 −0.218044
\(549\) −964235. + 1.67010e6i −0.136538 + 0.236490i
\(550\) −1.73429e6 3.00389e6i −0.244465 0.423425i
\(551\) −5.05479e6 −0.709290
\(552\) 1.11448e6 + 1.93033e6i 0.155677 + 0.269640i
\(553\) 435306. 753972.i 0.0605316 0.104844i
\(554\) 5.38465e6 9.32649e6i 0.745389 1.29105i
\(555\) −2.38668e7 −3.28898
\(556\) −1.43044e6 + 2.47760e6i −0.196238 + 0.339895i
\(557\) −9.53108e6 −1.30168 −0.650840 0.759215i \(-0.725583\pi\)
−0.650840 + 0.759215i \(0.725583\pi\)
\(558\) −3.85746e6 −0.524464
\(559\) −7.78813e6 + 2.17412e6i −1.05415 + 0.294276i
\(560\) −910421. −0.122680
\(561\) 3.81143e6 0.511306
\(562\) 5.89935e6 1.02180e7i 0.787886 1.36466i
\(563\) 1.08614e7 1.44416 0.722080 0.691809i \(-0.243186\pi\)
0.722080 + 0.691809i \(0.243186\pi\)
\(564\) 788948. 1.36650e6i 0.104436 0.180889i
\(565\) 1.39759e6 2.42069e6i 0.184186 0.319020i
\(566\) −2.73545e6 4.73794e6i −0.358912 0.621654i
\(567\) 696947. 0.0910421
\(568\) 746551. + 1.29306e6i 0.0970931 + 0.168170i
\(569\) 5.76350e6 9.98268e6i 0.746287 1.29261i −0.203304 0.979116i \(-0.565168\pi\)
0.949591 0.313491i \(-0.101499\pi\)
\(570\) −1.00870e7 −1.30039
\(571\) 4.76988e6 8.26167e6i 0.612233 1.06042i −0.378630 0.925548i \(-0.623605\pi\)
0.990863 0.134871i \(-0.0430619\pi\)
\(572\) 468326. + 811165.i 0.0598492 + 0.103662i
\(573\) 443686. + 768487.i 0.0564533 + 0.0977800i
\(574\) 354513. + 614035.i 0.0449110 + 0.0777882i
\(575\) 2.12403e6 0.267911
\(576\) −1.78038e6 3.08370e6i −0.223592 0.387272i
\(577\) −3.15504e6 5.46468e6i −0.394516 0.683322i 0.598523 0.801106i \(-0.295754\pi\)
−0.993039 + 0.117783i \(0.962421\pi\)
\(578\) −1.23724e6 + 2.14296e6i −0.154040 + 0.266806i
\(579\) 325990. 564632.i 0.0404118 0.0699953i
\(580\) 2.90097e6 0.358074
\(581\) 154710. 0.0190142
\(582\) 5.12295e6 8.87320e6i 0.626920 1.08586i
\(583\) 2.13848e6 3.70395e6i 0.260575 0.451330i
\(584\) 5.93292e6 + 1.02761e7i 0.719840 + 1.24680i
\(585\) 4.23216e6 + 7.33032e6i 0.511296 + 0.885591i
\(586\) −1.36225e6 −0.163875
\(587\) 75965.6 + 131576.i 0.00909958 + 0.0157609i 0.870539 0.492099i \(-0.163770\pi\)
−0.861440 + 0.507860i \(0.830437\pi\)
\(588\) −1.26588e6 2.19257e6i −0.150990 0.261523i
\(589\) −1.92546e6 3.33500e6i −0.228690 0.396102i
\(590\) −9.13266e6 + 1.58182e7i −1.08011 + 1.87080i
\(591\) 9.45338e6 1.11332
\(592\) −9.17894e6 + 1.58984e7i −1.07644 + 1.86444i
\(593\) 3.41518e6 + 5.91527e6i 0.398820 + 0.690777i 0.993581 0.113126i \(-0.0360865\pi\)
−0.594761 + 0.803903i \(0.702753\pi\)
\(594\) 1.89726e6 0.220628
\(595\) −381714. 661148.i −0.0442024 0.0765608i
\(596\) 1.54415e6 2.67454e6i 0.178063 0.308413i
\(597\) −9382.60 + 16251.1i −0.00107743 + 0.00186616i
\(598\) −3.01436e6 −0.344701
\(599\) −826832. + 1.43211e6i −0.0941565 + 0.163084i −0.909256 0.416237i \(-0.863349\pi\)
0.815100 + 0.579321i \(0.196682\pi\)
\(600\) −9.15799e6 −1.03854
\(601\) 1.30843e7 1.47762 0.738811 0.673912i \(-0.235387\pi\)
0.738811 + 0.673912i \(0.235387\pi\)
\(602\) −709589. + 198088.i −0.0798023 + 0.0222775i
\(603\) −9.69858e6 −1.08621
\(604\) 3.48216e6 0.388380
\(605\) −4.91853e6 + 8.51914e6i −0.546319 + 0.946253i
\(606\) −1.62611e7 −1.79874
\(607\) 2.91479e6 5.04857e6i 0.321097 0.556156i −0.659618 0.751601i \(-0.729282\pi\)
0.980715 + 0.195445i \(0.0626152\pi\)
\(608\) −1.36384e6 + 2.36225e6i −0.149626 + 0.259159i
\(609\) 481680. + 834295.i 0.0526278 + 0.0911541i
\(610\) 5.80666e6 0.631832
\(611\) −3.47338e6 6.01607e6i −0.376399 0.651943i
\(612\) −620032. + 1.07393e6i −0.0669168 + 0.115903i
\(613\) −9.95179e6 −1.06967 −0.534835 0.844956i \(-0.679626\pi\)
−0.534835 + 0.844956i \(0.679626\pi\)
\(614\) 581822. 1.00774e6i 0.0622829 0.107877i
\(615\) 9.16369e6 + 1.58720e7i 0.976973 + 1.69217i
\(616\) −138910. 240598.i −0.0147496 0.0255471i
\(617\) −1.07920e6 1.86923e6i −0.114127 0.197674i 0.803303 0.595570i \(-0.203074\pi\)
−0.917431 + 0.397896i \(0.869741\pi\)
\(618\) −1.55434e6 −0.163710
\(619\) −1.74394e6 3.02059e6i −0.182938 0.316858i 0.759942 0.649991i \(-0.225227\pi\)
−0.942880 + 0.333133i \(0.891894\pi\)
\(620\) 1.10503e6 + 1.91397e6i 0.115451 + 0.199966i
\(621\) −580903. + 1.00615e6i −0.0604470 + 0.104697i
\(622\) −1.05956e6 + 1.83521e6i −0.109812 + 0.190200i
\(623\) 734011. 0.0757674
\(624\) 1.62294e7 1.66856
\(625\) 5.13520e6 8.89442e6i 0.525844 0.910789i
\(626\) 3.06618e6 5.31078e6i 0.312724 0.541654i
\(627\) −1.92185e6 3.32875e6i −0.195232 0.338152i
\(628\) −1.02473e6 1.77489e6i −0.103684 0.179586i
\(629\) −1.53939e7 −1.55139
\(630\) 385599. + 667878.i 0.0387066 + 0.0670418i
\(631\) −3.18552e6 5.51747e6i −0.318498 0.551654i 0.661677 0.749789i \(-0.269845\pi\)
−0.980175 + 0.198135i \(0.936512\pi\)
\(632\) −6.93096e6 1.20048e7i −0.690241 1.19553i
\(633\) 2.88435e6 4.99584e6i 0.286114 0.495563i
\(634\) 7.84566e6 0.775187
\(635\) 8.15243e6 1.41204e7i 0.802330 1.38968i
\(636\) 1.73437e6 + 3.00402e6i 0.170020 + 0.294483i
\(637\) −1.11462e7 −1.08837
\(638\) 2.90476e6 + 5.03119e6i 0.282526 + 0.489350i
\(639\) 789680. 1.36777e6i 0.0765067 0.132513i
\(640\) −8.69155e6 + 1.50542e7i −0.838779 + 1.45281i
\(641\) −8.19576e6 −0.787851 −0.393926 0.919142i \(-0.628883\pi\)
−0.393926 + 0.919142i \(0.628883\pi\)
\(642\) −2.21196e6 + 3.83123e6i −0.211807 + 0.366860i
\(643\) 1.13866e7 1.08609 0.543044 0.839704i \(-0.317272\pi\)
0.543044 + 0.839704i \(0.317272\pi\)
\(644\) −52258.8 −0.00496529
\(645\) −1.83419e7 + 5.12030e6i −1.73598 + 0.484615i
\(646\) −6.50605e6 −0.613389
\(647\) −7.13106e6 −0.669720 −0.334860 0.942268i \(-0.608689\pi\)
−0.334860 + 0.942268i \(0.608689\pi\)
\(648\) 5.54841e6 9.61013e6i 0.519076 0.899067i
\(649\) −6.96009e6 −0.648639
\(650\) 6.19247e6 1.07257e7i 0.574885 0.995729i
\(651\) −366962. + 635597.i −0.0339366 + 0.0587799i
\(652\) 1.55268e6 + 2.68933e6i 0.143042 + 0.247756i
\(653\) 1.50871e7 1.38459 0.692297 0.721612i \(-0.256599\pi\)
0.692297 + 0.721612i \(0.256599\pi\)
\(654\) −8.20250e6 1.42072e7i −0.749898 1.29886i
\(655\) 7.84885e6 1.35946e7i 0.714830 1.23812i
\(656\) 1.40971e7 1.27900
\(657\) 6.27567e6 1.08698e7i 0.567214 0.982443i
\(658\) −316465. 548134.i −0.0284945 0.0493539i
\(659\) 3.44954e6 + 5.97477e6i 0.309419 + 0.535930i 0.978235 0.207498i \(-0.0665320\pi\)
−0.668816 + 0.743428i \(0.733199\pi\)
\(660\) 1.10296e6 + 1.91038e6i 0.0985599 + 0.170711i
\(661\) 1.10554e7 0.984174 0.492087 0.870546i \(-0.336234\pi\)
0.492087 + 0.870546i \(0.336234\pi\)
\(662\) −1.20082e7 2.07989e7i −1.06496 1.84457i
\(663\) 6.80454e6 + 1.17858e7i 0.601195 + 1.04130i
\(664\) 1.23165e6 2.13328e6i 0.108410 0.187771i
\(665\) −384946. + 666747.i −0.0337556 + 0.0584665i
\(666\) 1.55506e7 1.35850
\(667\) −3.55752e6 −0.309623
\(668\) −649468. + 1.12491e6i −0.0563140 + 0.0975387i
\(669\) −3.58154e6 + 6.20340e6i −0.309388 + 0.535876i
\(670\) 1.46013e7 + 2.52902e7i 1.25662 + 2.17653i
\(671\) 1.10633e6 + 1.91622e6i 0.0948589 + 0.164300i
\(672\) 519853. 0.0444076
\(673\) 1.14107e7 + 1.97639e7i 0.971121 + 1.68203i 0.692183 + 0.721722i \(0.256649\pi\)
0.278938 + 0.960309i \(0.410018\pi\)
\(674\) −8.62919e6 1.49462e7i −0.731678 1.26730i
\(675\) −2.38673e6 4.13393e6i −0.201625 0.349224i
\(676\) −276184. + 478364.i −0.0232451 + 0.0402617i
\(677\) 974569. 0.0817224 0.0408612 0.999165i \(-0.486990\pi\)
0.0408612 + 0.999165i \(0.486990\pi\)
\(678\) −2.26993e6 + 3.93164e6i −0.189644 + 0.328473i
\(679\) −391010. 677250.i −0.0325472 0.0563734i
\(680\) −1.21553e7 −1.00808
\(681\) 1.03766e7 + 1.79728e7i 0.857410 + 1.48508i
\(682\) −2.21295e6 + 3.83295e6i −0.182185 + 0.315553i
\(683\) −7.34365e6 + 1.27196e7i −0.602366 + 1.04333i 0.390096 + 0.920774i \(0.372442\pi\)
−0.992462 + 0.122554i \(0.960891\pi\)
\(684\) 1.25056e6 0.102203
\(685\) −7.94660e6 + 1.37639e7i −0.647075 + 1.12077i
\(686\) −2.03677e6 −0.165246
\(687\) −5.27949e6 −0.426776
\(688\) −3.64334e6 + 1.41873e7i −0.293446 + 1.14269i
\(689\) 1.52713e7 1.22554
\(690\) −7.09916e6 −0.567654
\(691\) −4.32305e6 + 7.48774e6i −0.344425 + 0.596562i −0.985249 0.171126i \(-0.945260\pi\)
0.640824 + 0.767688i \(0.278593\pi\)
\(692\) −2.35609e6 −0.187037
\(693\) −146935. + 254498.i −0.0116223 + 0.0201304i
\(694\) 202106. 350058.i 0.0159287 0.0275893i
\(695\) 1.48315e7 + 2.56890e7i 1.16473 + 2.01737i
\(696\) 1.53387e7 1.20023
\(697\) 5.91052e6 + 1.02373e7i 0.460833 + 0.798187i
\(698\) 6.50920e6 1.12743e7i 0.505696 0.875891i
\(699\) 1.16423e7 0.901252
\(700\) 107357. 185947.i 0.00828101 0.0143431i
\(701\) 2.72120e6 + 4.71326e6i 0.209154 + 0.362265i 0.951448 0.307809i \(-0.0995957\pi\)
−0.742294 + 0.670074i \(0.766262\pi\)
\(702\) 3.38718e6 + 5.86676e6i 0.259415 + 0.449320i
\(703\) 7.76213e6 + 1.34444e7i 0.592369 + 1.02601i
\(704\) −4.08548e6 −0.310679
\(705\) −8.18019e6 1.41685e7i −0.619856 1.07362i
\(706\) −3.23449e6 5.60230e6i −0.244227 0.423014i
\(707\) −620566. + 1.07485e6i −0.0466917 + 0.0808724i
\(708\) 2.82243e6 4.88858e6i 0.211612 0.366522i
\(709\) 1.17367e7 0.876863 0.438431 0.898765i \(-0.355534\pi\)
0.438431 + 0.898765i \(0.355534\pi\)
\(710\) −4.75548e6 −0.354037
\(711\) −7.33138e6 + 1.26983e7i −0.543891 + 0.942046i
\(712\) 5.84348e6 1.01212e7i 0.431988 0.748225i
\(713\) −1.35513e6 2.34715e6i −0.0998288 0.172909i
\(714\) 619973. + 1.07382e6i 0.0455122 + 0.0788294i
\(715\) 9.71167e6 0.710442
\(716\) 1.29290e6 + 2.23937e6i 0.0942503 + 0.163246i
\(717\) −6.58001e6 1.13969e7i −0.478001 0.827922i
\(718\) −7.38105e6 1.27844e7i −0.534327 0.925481i
\(719\) 1.33219e7 2.30742e7i 0.961046 1.66458i 0.241162 0.970485i \(-0.422471\pi\)
0.719883 0.694095i \(-0.244195\pi\)
\(720\) 1.53332e7 1.10231
\(721\) −59317.7 + 102741.i −0.00424958 + 0.00736049i
\(722\) −4.50240e6 7.79838e6i −0.321441 0.556752i
\(723\) −2.43075e7 −1.72939
\(724\) −2.16545e6 3.75067e6i −0.153533 0.265927i
\(725\) 7.30831e6 1.26584e7i 0.516383 0.894401i
\(726\) 7.98858e6 1.38366e7i 0.562507 0.974291i
\(727\) 9.11930e6 0.639920 0.319960 0.947431i \(-0.396331\pi\)
0.319960 + 0.947431i \(0.396331\pi\)
\(728\) 495990. 859081.i 0.0346853 0.0600766i
\(729\) −3.82825e6 −0.266797
\(730\) −3.77923e7 −2.62480
\(731\) −1.18304e7 + 3.30256e6i −0.818854 + 0.228590i
\(732\) −1.79453e6 −0.123787
\(733\) 1.63605e7 1.12470 0.562350 0.826900i \(-0.309898\pi\)
0.562350 + 0.826900i \(0.309898\pi\)
\(734\) 8.71692e6 1.50981e7i 0.597204 1.03439i
\(735\) −2.62505e7 −1.79234
\(736\) −959864. + 1.66253e6i −0.0653153 + 0.113129i
\(737\) −5.56390e6 + 9.63696e6i −0.377321 + 0.653539i
\(738\) −5.97068e6 1.03415e7i −0.403536 0.698945i
\(739\) −1.57284e7 −1.05943 −0.529717 0.848175i \(-0.677702\pi\)
−0.529717 + 0.848175i \(0.677702\pi\)
\(740\) −4.45473e6 7.71581e6i −0.299048 0.517967i
\(741\) 6.86216e6 1.18856e7i 0.459109 0.795200i
\(742\) 1.39139e6 0.0927769
\(743\) −1.01691e7 + 1.76135e7i −0.675790 + 1.17050i 0.300447 + 0.953799i \(0.402864\pi\)
−0.976237 + 0.216705i \(0.930469\pi\)
\(744\) 5.84278e6 + 1.01200e7i 0.386979 + 0.670267i
\(745\) −1.60105e7 2.77309e7i −1.05685 1.83052i
\(746\) 1.07675e7 + 1.86498e7i 0.708382 + 1.22695i
\(747\) −2.60561e6 −0.170847
\(748\) 711402. + 1.23218e6i 0.0464902 + 0.0805233i
\(749\) 168828. + 292419.i 0.0109962 + 0.0190459i
\(750\) −843551. + 1.46107e6i −0.0547593 + 0.0948459i
\(751\) −4.36602e6 + 7.56217e6i −0.282479 + 0.489268i −0.971995 0.235003i \(-0.924490\pi\)
0.689516 + 0.724271i \(0.257823\pi\)
\(752\) −1.25841e7 −0.811481
\(753\) 1.30164e7 0.836573
\(754\) −1.03717e7 + 1.79644e7i −0.664390 + 1.15076i
\(755\) 1.80524e7 3.12676e7i 1.15257 1.99631i
\(756\) 58722.2 + 101710.i 0.00373678 + 0.00647230i
\(757\) −4.42807e6 7.66964e6i −0.280850 0.486447i 0.690744 0.723099i \(-0.257283\pi\)
−0.971594 + 0.236652i \(0.923950\pi\)
\(758\) 8.77924e6 0.554988
\(759\) −1.35259e6 2.34275e6i −0.0852237 0.147612i
\(760\) 6.12914e6 + 1.06160e7i 0.384915 + 0.666693i
\(761\) −5.86909e6 1.01656e7i −0.367374 0.636311i 0.621780 0.783192i \(-0.286410\pi\)
−0.989154 + 0.146881i \(0.953077\pi\)
\(762\) −1.32410e7 + 2.29341e7i −0.826103 + 1.43085i
\(763\) −1.25212e6 −0.0778634
\(764\) −165628. + 286876.i −0.0102660 + 0.0177812i
\(765\) 6.42879e6 + 1.11350e7i 0.397169 + 0.687917i
\(766\) −2.71252e7 −1.67033
\(767\) −1.24259e7 2.15222e7i −0.762672 1.32099i
\(768\) 7.06656e6 1.22396e7i 0.432320 0.748800i
\(769\) −1.61087e6 + 2.79010e6i −0.0982300 + 0.170139i −0.910952 0.412512i \(-0.864651\pi\)
0.812722 + 0.582652i \(0.197985\pi\)
\(770\) 884846. 0.0537825
\(771\) 1.61352e7 2.79469e7i 0.977546 1.69316i
\(772\) 243384. 0.0146977
\(773\) −1.79989e7