Properties

Label 43.6.e.a.11.5
Level 43
Weight 6
Character 43.11
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.5
Character \(\chi\) \(=\) 43.11
Dual form 43.6.e.a.4.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.75577 - 5.96355i) q^{2} +(-3.77448 + 4.73304i) q^{3} +(-5.82590 + 25.5249i) q^{4} +(-49.8748 + 24.0184i) q^{5} +46.1763 q^{6} +187.876 q^{7} +(-39.9875 + 19.2570i) q^{8} +(45.9176 + 201.178i) q^{9} +O(q^{10})\) \(q+(-4.75577 - 5.96355i) q^{2} +(-3.77448 + 4.73304i) q^{3} +(-5.82590 + 25.5249i) q^{4} +(-49.8748 + 24.0184i) q^{5} +46.1763 q^{6} +187.876 q^{7} +(-39.9875 + 19.2570i) q^{8} +(45.9176 + 201.178i) q^{9} +(380.428 + 183.205i) q^{10} +(-98.0027 - 429.378i) q^{11} +(-98.8209 - 123.917i) q^{12} +(551.081 - 265.387i) q^{13} +(-893.498 - 1120.41i) q^{14} +(74.5709 - 326.716i) q^{15} +(1059.85 + 510.395i) q^{16} +(1027.38 + 494.758i) q^{17} +(981.362 - 1230.59i) q^{18} +(459.522 - 2013.30i) q^{19} +(-322.503 - 1412.98i) q^{20} +(-709.135 + 889.227i) q^{21} +(-2094.54 + 2626.47i) q^{22} +(846.113 + 3707.06i) q^{23} +(59.7878 - 261.947i) q^{24} +(-37.7966 + 47.3954i) q^{25} +(-4203.46 - 2024.28i) q^{26} +(-2450.89 - 1180.29i) q^{27} +(-1094.55 + 4795.53i) q^{28} +(5099.66 + 6394.78i) q^{29} +(-2303.03 + 1109.08i) q^{30} +(3394.40 + 4256.45i) q^{31} +(-1680.59 - 7363.13i) q^{32} +(2402.17 + 1156.83i) q^{33} +(-1935.45 - 8479.77i) q^{34} +(-9370.30 + 4512.50i) q^{35} -5402.56 q^{36} +11002.2 q^{37} +(-14191.8 + 6834.41i) q^{38} +(-823.955 + 3609.98i) q^{39} +(1531.85 - 1920.87i) q^{40} +(-974.921 - 1222.51i) q^{41} +8675.44 q^{42} +(-11269.3 - 4473.31i) q^{43} +11530.8 q^{44} +(-7122.11 - 8930.84i) q^{45} +(18083.3 - 22675.8i) q^{46} +(3175.91 - 13914.6i) q^{47} +(-6416.08 + 3089.82i) q^{48} +18490.6 q^{49} +462.397 q^{50} +(-6219.52 + 2995.16i) q^{51} +(3563.43 + 15612.4i) q^{52} +(-14997.6 - 7222.49i) q^{53} +(4617.18 + 20229.2i) q^{54} +(15200.8 + 19061.3i) q^{55} +(-7512.71 + 3617.93i) q^{56} +(7794.57 + 9774.08i) q^{57} +(13882.7 - 60824.2i) q^{58} +(21581.0 + 10392.8i) q^{59} +(7904.97 + 3806.83i) q^{60} +(-15899.4 + 19937.2i) q^{61} +(9240.53 - 40485.4i) q^{62} +(8626.83 + 37796.6i) q^{63} +(-12448.0 + 15609.3i) q^{64} +(-21110.9 + 26472.2i) q^{65} +(-4525.40 - 19827.1i) q^{66} +(1353.37 - 5929.49i) q^{67} +(-18614.0 + 23341.3i) q^{68} +(-20739.3 - 9987.53i) q^{69} +(71473.5 + 34419.8i) q^{70} +(5776.46 - 25308.3i) q^{71} +(-5710.20 - 7160.37i) q^{72} +(-24056.1 + 11584.8i) q^{73} +(-52323.8 - 65612.0i) q^{74} +(-81.6623 - 357.786i) q^{75} +(48712.1 + 23458.5i) q^{76} +(-18412.4 - 80670.0i) q^{77} +(25446.9 - 12254.6i) q^{78} +28191.6 q^{79} -65118.5 q^{80} +(-30340.5 + 14611.2i) q^{81} +(-2654.01 + 11628.0i) q^{82} +(1956.01 - 2452.76i) q^{83} +(-18566.1 - 23281.2i) q^{84} -63123.5 q^{85} +(26917.6 + 88479.3i) q^{86} -49515.3 q^{87} +(12187.4 + 15282.5i) q^{88} +(67373.4 - 84483.6i) q^{89} +(-19388.4 + 84946.1i) q^{90} +(103535. - 49859.9i) q^{91} -99551.8 q^{92} -32958.0 q^{93} +(-98084.1 + 47234.8i) q^{94} +(25437.7 + 111450. i) q^{95} +(41193.3 + 19837.7i) q^{96} +(22202.7 + 97276.3i) q^{97} +(-87937.0 - 110269. i) q^{98} +(81881.3 - 39432.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.75577 5.96355i −0.840710 1.05422i −0.997778 0.0666293i \(-0.978776\pi\)
0.157068 0.987588i \(-0.449796\pi\)
\(3\) −3.77448 + 4.73304i −0.242133 + 0.303625i −0.888017 0.459810i \(-0.847917\pi\)
0.645884 + 0.763435i \(0.276489\pi\)
\(4\) −5.82590 + 25.5249i −0.182059 + 0.797654i
\(5\) −49.8748 + 24.0184i −0.892187 + 0.429655i −0.823061 0.567953i \(-0.807735\pi\)
−0.0691264 + 0.997608i \(0.522021\pi\)
\(6\) 46.1763 0.523650
\(7\) 187.876 1.44920 0.724598 0.689172i \(-0.242025\pi\)
0.724598 + 0.689172i \(0.242025\pi\)
\(8\) −39.9875 + 19.2570i −0.220902 + 0.106381i
\(9\) 45.9176 + 201.178i 0.188961 + 0.827893i
\(10\) 380.428 + 183.205i 1.20302 + 0.579344i
\(11\) −98.0027 429.378i −0.244206 1.06994i −0.937145 0.348940i \(-0.886542\pi\)
0.692939 0.720996i \(-0.256315\pi\)
\(12\) −98.8209 123.917i −0.198105 0.248416i
\(13\) 551.081 265.387i 0.904392 0.435532i 0.0769190 0.997037i \(-0.475492\pi\)
0.827473 + 0.561505i \(0.189777\pi\)
\(14\) −893.498 1120.41i −1.21835 1.52777i
\(15\) 74.5709 326.716i 0.0855739 0.374924i
\(16\) 1059.85 + 510.395i 1.03501 + 0.498432i
\(17\) 1027.38 + 494.758i 0.862198 + 0.415213i 0.812091 0.583531i \(-0.198329\pi\)
0.0501072 + 0.998744i \(0.484044\pi\)
\(18\) 981.362 1230.59i 0.713917 0.895224i
\(19\) 459.522 2013.30i 0.292027 1.27945i −0.589673 0.807642i \(-0.700744\pi\)
0.881700 0.471810i \(-0.156399\pi\)
\(20\) −322.503 1412.98i −0.180285 0.789879i
\(21\) −709.135 + 889.227i −0.350898 + 0.440012i
\(22\) −2094.54 + 2626.47i −0.922639 + 1.15695i
\(23\) 846.113 + 3707.06i 0.333510 + 1.46120i 0.812283 + 0.583263i \(0.198224\pi\)
−0.478773 + 0.877939i \(0.658918\pi\)
\(24\) 59.7878 261.947i 0.0211877 0.0928295i
\(25\) −37.7966 + 47.3954i −0.0120949 + 0.0151665i
\(26\) −4203.46 2024.28i −1.21948 0.587269i
\(27\) −2450.89 1180.29i −0.647014 0.311586i
\(28\) −1094.55 + 4795.53i −0.263840 + 1.15596i
\(29\) 5099.66 + 6394.78i 1.12602 + 1.41199i 0.898919 + 0.438115i \(0.144354\pi\)
0.227102 + 0.973871i \(0.427075\pi\)
\(30\) −2303.03 + 1109.08i −0.467194 + 0.224989i
\(31\) 3394.40 + 4256.45i 0.634394 + 0.795505i 0.990289 0.139021i \(-0.0443954\pi\)
−0.355895 + 0.934526i \(0.615824\pi\)
\(32\) −1680.59 7363.13i −0.290125 1.27112i
\(33\) 2402.17 + 1156.83i 0.383989 + 0.184920i
\(34\) −1935.45 8479.77i −0.287134 1.25802i
\(35\) −9370.30 + 4512.50i −1.29295 + 0.622654i
\(36\) −5402.56 −0.694774
\(37\) 11002.2 1.32122 0.660608 0.750731i \(-0.270299\pi\)
0.660608 + 0.750731i \(0.270299\pi\)
\(38\) −14191.8 + 6834.41i −1.59433 + 0.767789i
\(39\) −823.955 + 3609.98i −0.0867445 + 0.380053i
\(40\) 1531.85 1920.87i 0.151379 0.189823i
\(41\) −974.921 1222.51i −0.0905753 0.113578i 0.734479 0.678632i \(-0.237427\pi\)
−0.825054 + 0.565054i \(0.808855\pi\)
\(42\) 8675.44 0.758872
\(43\) −11269.3 4473.31i −0.929452 0.368942i
\(44\) 11530.8 0.897899
\(45\) −7122.11 8930.84i −0.524297 0.657447i
\(46\) 18083.3 22675.8i 1.26004 1.58004i
\(47\) 3175.91 13914.6i 0.209712 0.918808i −0.755047 0.655671i \(-0.772386\pi\)
0.964759 0.263137i \(-0.0847570\pi\)
\(48\) −6416.08 + 3089.82i −0.401945 + 0.193567i
\(49\) 18490.6 1.10017
\(50\) 462.397 0.0261571
\(51\) −6219.52 + 2995.16i −0.334835 + 0.161248i
\(52\) 3563.43 + 15612.4i 0.182751 + 0.800685i
\(53\) −14997.6 7222.49i −0.733387 0.353181i 0.0296280 0.999561i \(-0.490568\pi\)
−0.763015 + 0.646380i \(0.776282\pi\)
\(54\) 4617.18 + 20229.2i 0.215473 + 0.944047i
\(55\) 15200.8 + 19061.3i 0.677581 + 0.849659i
\(56\) −7512.71 + 3617.93i −0.320130 + 0.154166i
\(57\) 7794.57 + 9774.08i 0.317764 + 0.398464i
\(58\) 13882.7 60824.2i 0.541882 2.37414i
\(59\) 21581.0 + 10392.8i 0.807125 + 0.388691i 0.791486 0.611187i \(-0.209308\pi\)
0.0156387 + 0.999878i \(0.495022\pi\)
\(60\) 7904.97 + 3806.83i 0.283480 + 0.136517i
\(61\) −15899.4 + 19937.2i −0.547086 + 0.686024i −0.976112 0.217268i \(-0.930285\pi\)
0.429026 + 0.903292i \(0.358857\pi\)
\(62\) 9240.53 40485.4i 0.305294 1.33758i
\(63\) 8626.83 + 37796.6i 0.273842 + 1.19978i
\(64\) −12448.0 + 15609.3i −0.379882 + 0.476357i
\(65\) −21110.9 + 26472.2i −0.619759 + 0.777153i
\(66\) −4525.40 19827.1i −0.127878 0.560272i
\(67\) 1353.37 5929.49i 0.0368323 0.161373i −0.953167 0.302444i \(-0.902198\pi\)
0.989999 + 0.141071i \(0.0450547\pi\)
\(68\) −18614.0 + 23341.3i −0.488167 + 0.612142i
\(69\) −20739.3 9987.53i −0.524411 0.252543i
\(70\) 71473.5 + 34419.8i 1.74341 + 0.839583i
\(71\) 5776.46 25308.3i 0.135993 0.595823i −0.860299 0.509789i \(-0.829723\pi\)
0.996292 0.0860342i \(-0.0274194\pi\)
\(72\) −5710.20 7160.37i −0.129814 0.162781i
\(73\) −24056.1 + 11584.8i −0.528345 + 0.254437i −0.678986 0.734151i \(-0.737580\pi\)
0.150641 + 0.988588i \(0.451866\pi\)
\(74\) −52323.8 65612.0i −1.11076 1.39285i
\(75\) −81.6623 357.786i −0.00167636 0.00734463i
\(76\) 48712.1 + 23458.5i 0.967394 + 0.465872i
\(77\) −18412.4 80670.0i −0.353902 1.55055i
\(78\) 25446.9 12254.6i 0.473585 0.228067i
\(79\) 28191.6 0.508220 0.254110 0.967175i \(-0.418218\pi\)
0.254110 + 0.967175i \(0.418218\pi\)
\(80\) −65118.5 −1.13757
\(81\) −30340.5 + 14611.2i −0.513819 + 0.247442i
\(82\) −2654.01 + 11628.0i −0.0435881 + 0.190972i
\(83\) 1956.01 2452.76i 0.0311656 0.0390805i −0.766004 0.642835i \(-0.777758\pi\)
0.797170 + 0.603755i \(0.206329\pi\)
\(84\) −18566.1 23281.2i −0.287093 0.360003i
\(85\) −63123.5 −0.947640
\(86\) 26917.6 + 88479.3i 0.392455 + 1.29002i
\(87\) −49515.3 −0.701361
\(88\) 12187.4 + 15282.5i 0.167766 + 0.210372i
\(89\) 67373.4 84483.6i 0.901599 1.13057i −0.0893057 0.996004i \(-0.528465\pi\)
0.990905 0.134565i \(-0.0429638\pi\)
\(90\) −19388.4 + 84946.1i −0.252311 + 1.10545i
\(91\) 103535. 49859.9i 1.31064 0.631172i
\(92\) −99551.8 −1.22625
\(93\) −32958.0 −0.395143
\(94\) −98084.1 + 47234.8i −1.14493 + 0.551369i
\(95\) 25437.7 + 111450.i 0.289180 + 1.26698i
\(96\) 41193.3 + 19837.7i 0.456193 + 0.219691i
\(97\) 22202.7 + 97276.3i 0.239594 + 1.04973i 0.941382 + 0.337344i \(0.109528\pi\)
−0.701788 + 0.712386i \(0.747614\pi\)
\(98\) −87937.0 110269.i −0.924924 1.15982i
\(99\) 81881.3 39432.0i 0.839647 0.404353i
\(100\) −989.566 1240.88i −0.00989566 0.0124088i
\(101\) −31347.9 + 137344.i −0.305777 + 1.33970i 0.555481 + 0.831529i \(0.312534\pi\)
−0.861258 + 0.508168i \(0.830323\pi\)
\(102\) 47440.4 + 22846.1i 0.451490 + 0.217426i
\(103\) −53591.5 25808.3i −0.497741 0.239699i 0.168132 0.985764i \(-0.446226\pi\)
−0.665873 + 0.746065i \(0.731941\pi\)
\(104\) −16925.8 + 21224.3i −0.153450 + 0.192420i
\(105\) 14010.1 61382.3i 0.124013 0.543338i
\(106\) 28253.8 + 123788.i 0.244237 + 1.07007i
\(107\) 73981.2 92769.5i 0.624686 0.783332i −0.364309 0.931278i \(-0.618695\pi\)
0.988995 + 0.147946i \(0.0472663\pi\)
\(108\) 44405.3 55682.5i 0.366333 0.459367i
\(109\) 12027.7 + 52696.6i 0.0969650 + 0.424831i 0.999989 0.00475934i \(-0.00151495\pi\)
−0.903024 + 0.429591i \(0.858658\pi\)
\(110\) 41381.0 181302.i 0.326076 1.42863i
\(111\) −41527.4 + 52073.7i −0.319909 + 0.401154i
\(112\) 199120. + 95891.2i 1.49993 + 0.722327i
\(113\) −124477. 59944.7i −0.917046 0.441626i −0.0850307 0.996378i \(-0.527099\pi\)
−0.832016 + 0.554752i \(0.812813\pi\)
\(114\) 21219.0 92966.7i 0.152920 0.669985i
\(115\) −131237. 164567.i −0.925366 1.16037i
\(116\) −192936. + 92913.2i −1.33128 + 0.641110i
\(117\) 78694.2 + 98679.4i 0.531469 + 0.666441i
\(118\) −40655.9 178125.i −0.268794 1.17766i
\(119\) 193020. + 92953.4i 1.24949 + 0.601725i
\(120\) 3309.66 + 14500.6i 0.0209812 + 0.0919247i
\(121\) −29658.8 + 14282.9i −0.184158 + 0.0886857i
\(122\) 194510. 1.18316
\(123\) 9466.02 0.0564163
\(124\) −128421. + 61844.3i −0.750035 + 0.361198i
\(125\) 39240.7 171925.i 0.224627 0.984153i
\(126\) 184375. 231199.i 1.03461 1.29736i
\(127\) 60964.0 + 76446.5i 0.335401 + 0.420580i 0.920720 0.390223i \(-0.127602\pi\)
−0.585319 + 0.810803i \(0.699031\pi\)
\(128\) −89393.2 −0.482258
\(129\) 63708.2 36453.9i 0.337071 0.192872i
\(130\) 258267. 1.34033
\(131\) 18850.9 + 23638.3i 0.0959743 + 0.120348i 0.827500 0.561466i \(-0.189763\pi\)
−0.731525 + 0.681814i \(0.761191\pi\)
\(132\) −43522.7 + 54575.7i −0.217411 + 0.272624i
\(133\) 86333.4 378251.i 0.423204 1.85418i
\(134\) −41797.1 + 20128.4i −0.201087 + 0.0968384i
\(135\) 150586. 0.711132
\(136\) −50609.7 −0.234632
\(137\) −93023.4 + 44797.7i −0.423439 + 0.203917i −0.633453 0.773781i \(-0.718363\pi\)
0.210014 + 0.977698i \(0.432649\pi\)
\(138\) 39070.4 + 171178.i 0.174642 + 0.765158i
\(139\) 143099. + 68913.0i 0.628204 + 0.302527i 0.720765 0.693180i \(-0.243791\pi\)
−0.0925605 + 0.995707i \(0.529505\pi\)
\(140\) −60590.8 265466.i −0.261268 1.14469i
\(141\) 53870.8 + 67551.8i 0.228195 + 0.286147i
\(142\) −178399. + 85912.5i −0.742458 + 0.357549i
\(143\) −167958. 210613.i −0.686850 0.861282i
\(144\) −54014.7 + 236654.i −0.217073 + 0.951058i
\(145\) −407937. 196452.i −1.61129 0.775955i
\(146\) 183492. + 88364.9i 0.712417 + 0.343082i
\(147\) −69792.2 + 87516.6i −0.266387 + 0.334039i
\(148\) −64097.5 + 280829.i −0.240540 + 1.05387i
\(149\) −45428.7 199036.i −0.167635 0.734457i −0.986939 0.161097i \(-0.948497\pi\)
0.819304 0.573360i \(-0.194360\pi\)
\(150\) −1745.31 + 2188.55i −0.00633350 + 0.00794196i
\(151\) −290897. + 364774.i −1.03824 + 1.30191i −0.0860871 + 0.996288i \(0.527436\pi\)
−0.952152 + 0.305624i \(0.901135\pi\)
\(152\) 20394.9 + 89355.7i 0.0715998 + 0.313699i
\(153\) −52359.8 + 229403.i −0.180830 + 0.792267i
\(154\) −393514. + 493451.i −1.33708 + 1.67665i
\(155\) −271528. 130761.i −0.907791 0.437169i
\(156\) −87344.3 42062.8i −0.287358 0.138384i
\(157\) 85158.7 373105.i 0.275728 1.20804i −0.627410 0.778689i \(-0.715885\pi\)
0.903137 0.429352i \(-0.141258\pi\)
\(158\) −134073. 168122.i −0.427265 0.535774i
\(159\) 90792.6 43723.4i 0.284812 0.137158i
\(160\) 260670. + 326869.i 0.804990 + 1.00943i
\(161\) 158965. + 696470.i 0.483321 + 2.11757i
\(162\) 231428. + 111450.i 0.692831 + 0.333650i
\(163\) −111110. 486804.i −0.327554 1.43511i −0.823777 0.566914i \(-0.808137\pi\)
0.496223 0.868195i \(-0.334720\pi\)
\(164\) 36884.3 17762.6i 0.107086 0.0515699i
\(165\) −147593. −0.422042
\(166\) −23929.5 −0.0674006
\(167\) 47501.8 22875.7i 0.131801 0.0634721i −0.366821 0.930292i \(-0.619554\pi\)
0.498622 + 0.866819i \(0.333840\pi\)
\(168\) 11232.7 49213.8i 0.0307052 0.134528i
\(169\) 1762.63 2210.27i 0.00474728 0.00595290i
\(170\) 300201. + 376440.i 0.796691 + 0.999018i
\(171\) 426131. 1.11443
\(172\) 179835. 261588.i 0.463503 0.674212i
\(173\) −208717. −0.530202 −0.265101 0.964221i \(-0.585405\pi\)
−0.265101 + 0.964221i \(0.585405\pi\)
\(174\) 235484. + 295287.i 0.589641 + 0.739386i
\(175\) −7101.09 + 8904.48i −0.0175279 + 0.0219793i
\(176\) 115284. 505094.i 0.280536 1.22911i
\(177\) −130647. + 62916.1i −0.313448 + 0.150948i
\(178\) −824235. −1.94985
\(179\) 112395. 0.262188 0.131094 0.991370i \(-0.458151\pi\)
0.131094 + 0.991370i \(0.458151\pi\)
\(180\) 269452. 129761.i 0.619869 0.298513i
\(181\) 143408. + 628312.i 0.325370 + 1.42554i 0.827849 + 0.560950i \(0.189564\pi\)
−0.502479 + 0.864589i \(0.667579\pi\)
\(182\) −789732. 380315.i −1.76726 0.851069i
\(183\) −34351.7 150505.i −0.0758265 0.332218i
\(184\) −105221. 131943.i −0.229117 0.287303i
\(185\) −548730. + 264255.i −1.17877 + 0.567666i
\(186\) 156741. + 196547.i 0.332201 + 0.416566i
\(187\) 111753. 489620.i 0.233697 1.02389i
\(188\) 336665. + 162130.i 0.694711 + 0.334555i
\(189\) −460464. 221748.i −0.937651 0.451549i
\(190\) 543661. 681729.i 1.09256 1.37002i
\(191\) 208311. 912669.i 0.413169 1.81021i −0.155722 0.987801i \(-0.549770\pi\)
0.568891 0.822413i \(-0.307372\pi\)
\(192\) −26894.7 117834.i −0.0526519 0.230683i
\(193\) −3361.55 + 4215.25i −0.00649601 + 0.00814574i −0.785069 0.619408i \(-0.787372\pi\)
0.778573 + 0.627554i \(0.215944\pi\)
\(194\) 474521. 595031.i 0.905214 1.13510i
\(195\) −45611.6 199837.i −0.0858991 0.376348i
\(196\) −107724. + 471970.i −0.200296 + 0.877555i
\(197\) 188024. 235775.i 0.345182 0.432845i −0.578689 0.815548i \(-0.696436\pi\)
0.923871 + 0.382704i \(0.125007\pi\)
\(198\) −624564. 300774.i −1.13218 0.545227i
\(199\) 526027. + 253321.i 0.941619 + 0.453460i 0.840740 0.541439i \(-0.182120\pi\)
0.100879 + 0.994899i \(0.467834\pi\)
\(200\) 598.699 2623.07i 0.00105836 0.00463698i
\(201\) 22956.3 + 28786.2i 0.0400785 + 0.0502568i
\(202\) 968142. 466233.i 1.66940 0.803941i
\(203\) 958107. + 1.20143e6i 1.63183 + 2.04625i
\(204\) −40217.0 176202.i −0.0676604 0.296439i
\(205\) 77986.8 + 37556.5i 0.129609 + 0.0624166i
\(206\) 100960. + 442334.i 0.165760 + 0.726244i
\(207\) −706928. + 340438.i −1.14670 + 0.552221i
\(208\) 719513. 1.15313
\(209\) −909500. −1.44025
\(210\) −432686. + 208370.i −0.677056 + 0.326053i
\(211\) −82933.7 + 363356.i −0.128240 + 0.561858i 0.869455 + 0.494011i \(0.164470\pi\)
−0.997696 + 0.0678464i \(0.978387\pi\)
\(212\) 271728. 340736.i 0.415236 0.520690i
\(213\) 97982.3 + 122866.i 0.147978 + 0.185559i
\(214\) −905073. −1.35098
\(215\) 669498. 47566.4i 0.987763 0.0701785i
\(216\) 120734. 0.176073
\(217\) 637729. + 799686.i 0.919362 + 1.15284i
\(218\) 257058. 322341.i 0.366345 0.459382i
\(219\) 35967.7 157585.i 0.0506760 0.222026i
\(220\) −575096. + 276951.i −0.801094 + 0.385786i
\(221\) 697469. 0.960604
\(222\) 508039. 0.691854
\(223\) −273295. + 131612.i −0.368019 + 0.177228i −0.608748 0.793364i \(-0.708328\pi\)
0.240729 + 0.970592i \(0.422614\pi\)
\(224\) −315743. 1.38336e6i −0.420449 1.84211i
\(225\) −11270.4 5427.56i −0.0148417 0.00714740i
\(226\) 234499. + 1.02741e6i 0.305400 + 1.33805i
\(227\) 98672.0 + 123731.i 0.127095 + 0.159372i 0.841308 0.540557i \(-0.181786\pi\)
−0.714212 + 0.699929i \(0.753215\pi\)
\(228\) −294893. + 142013.i −0.375688 + 0.180922i
\(229\) −431772. 541425.i −0.544084 0.682259i 0.431443 0.902140i \(-0.358005\pi\)
−0.975527 + 0.219881i \(0.929433\pi\)
\(230\) −357266. + 1.56528e6i −0.445320 + 1.95107i
\(231\) 451312. + 217340.i 0.556476 + 0.267985i
\(232\) −327067. 157507.i −0.398948 0.192123i
\(233\) −34356.9 + 43082.2i −0.0414595 + 0.0519886i −0.802129 0.597151i \(-0.796299\pi\)
0.760669 + 0.649139i \(0.224871\pi\)
\(234\) 214228. 938594.i 0.255762 1.12057i
\(235\) 175808. + 770266.i 0.207668 + 0.909852i
\(236\) −391005. + 490305.i −0.456986 + 0.573042i
\(237\) −106408. + 133432.i −0.123057 + 0.154308i
\(238\) −363626. 1.59315e6i −0.416114 1.82311i
\(239\) −292078. + 1.27968e6i −0.330753 + 1.44912i 0.486922 + 0.873445i \(0.338119\pi\)
−0.817676 + 0.575679i \(0.804738\pi\)
\(240\) 245788. 308209.i 0.275444 0.345395i
\(241\) −526087. 253350.i −0.583465 0.280982i 0.118776 0.992921i \(-0.462103\pi\)
−0.702241 + 0.711939i \(0.747817\pi\)
\(242\) 226228. + 108945.i 0.248317 + 0.119583i
\(243\) 192457. 843207.i 0.209082 0.916049i
\(244\) −416267. 521982.i −0.447608 0.561282i
\(245\) −922213. + 444114.i −0.981558 + 0.472693i
\(246\) −45018.3 56451.1i −0.0474298 0.0594750i
\(247\) −281068. 1.23144e6i −0.293136 1.28431i
\(248\) −217700. 104839.i −0.224765 0.108241i
\(249\) 4226.10 + 18515.8i 0.00431958 + 0.0189253i
\(250\) −1.21190e6 + 583621.i −1.22636 + 0.590583i
\(251\) 919182. 0.920910 0.460455 0.887683i \(-0.347686\pi\)
0.460455 + 0.887683i \(0.347686\pi\)
\(252\) −1.01501e6 −1.00686
\(253\) 1.50881e6 726604.i 1.48195 0.713668i
\(254\) 165961. 727124.i 0.161407 0.707171i
\(255\) 238258. 298766.i 0.229455 0.287727i
\(256\) 823469. + 1.03260e6i 0.785321 + 0.984762i
\(257\) −1.24549e6 −1.17627 −0.588134 0.808764i \(-0.700137\pi\)
−0.588134 + 0.808764i \(0.700137\pi\)
\(258\) −520376. 206561.i −0.486708 0.193196i
\(259\) 2.06705e6 1.91470
\(260\) −552711. 693078.i −0.507066 0.635841i
\(261\) −1.05232e6 + 1.31957e6i −0.956199 + 1.19904i
\(262\) 51317.6 224837.i 0.0461863 0.202355i
\(263\) −311420. + 149972.i −0.277624 + 0.133697i −0.567515 0.823363i \(-0.692095\pi\)
0.289891 + 0.957060i \(0.406381\pi\)
\(264\) −118334. −0.104496
\(265\) 921477. 0.806065
\(266\) −2.66630e6 + 1.28402e6i −2.31050 + 1.11268i
\(267\) 145565. + 637762.i 0.124962 + 0.547496i
\(268\) 143465. + 69089.2i 0.122014 + 0.0587588i
\(269\) 265677. + 1.16401e6i 0.223858 + 0.980788i 0.954543 + 0.298073i \(0.0963439\pi\)
−0.730685 + 0.682715i \(0.760799\pi\)
\(270\) −716153. 898028.i −0.597856 0.749688i
\(271\) 1.12998e6 544172.i 0.934651 0.450104i 0.0963717 0.995345i \(-0.469276\pi\)
0.838279 + 0.545241i \(0.183562\pi\)
\(272\) 836338. + 1.04873e6i 0.685424 + 0.859495i
\(273\) −154802. + 678231.i −0.125710 + 0.550771i
\(274\) 709552. + 341702.i 0.570963 + 0.274961i
\(275\) 24054.7 + 11584.1i 0.0191809 + 0.00923702i
\(276\) 375756. 471183.i 0.296916 0.372321i
\(277\) 448543. 1.96519e6i 0.351240 1.53888i −0.423081 0.906092i \(-0.639052\pi\)
0.774322 0.632792i \(-0.218091\pi\)
\(278\) −269582. 1.18112e6i −0.209208 0.916601i
\(279\) −700441. + 878325.i −0.538717 + 0.675530i
\(280\) 287798. 360887.i 0.219378 0.275091i
\(281\) −505107. 2.21302e6i −0.381608 1.67193i −0.692446 0.721470i \(-0.743467\pi\)
0.310838 0.950463i \(-0.399390\pi\)
\(282\) 146652. 642523.i 0.109816 0.481134i
\(283\) −552783. + 693168.i −0.410288 + 0.514484i −0.943444 0.331532i \(-0.892434\pi\)
0.533156 + 0.846017i \(0.321006\pi\)
\(284\) 612340. + 294887.i 0.450502 + 0.216950i
\(285\) −623511. 300267.i −0.454707 0.218975i
\(286\) −457231. + 2.00326e6i −0.330537 + 1.44818i
\(287\) −183165. 229681.i −0.131261 0.164597i
\(288\) 1.40413e6 676194.i 0.997531 0.480386i
\(289\) −74551.0 93484.0i −0.0525060 0.0658405i
\(290\) 768504. + 3.36704e6i 0.536601 + 2.35100i
\(291\) −544216. 262081.i −0.376738 0.181427i
\(292\) −155553. 681521.i −0.106763 0.467759i
\(293\) −641648. + 309002.i −0.436645 + 0.210277i −0.639275 0.768978i \(-0.720765\pi\)
0.202630 + 0.979255i \(0.435051\pi\)
\(294\) 853826. 0.576104
\(295\) −1.32597e6 −0.887110
\(296\) −439949. + 211868.i −0.291859 + 0.140552i
\(297\) −266595. + 1.16803e6i −0.175372 + 0.768355i
\(298\) −970914. + 1.21749e6i −0.633344 + 0.794189i
\(299\) 1.45008e6 + 1.81834e6i 0.938025 + 1.17625i
\(300\) 9608.21 0.00616367
\(301\) −2.11724e6 840430.i −1.34696 0.534669i
\(302\) 3.55879e6 2.24536
\(303\) −531734. 666773.i −0.332727 0.417226i
\(304\) 1.51460e6 1.89925e6i 0.939970 1.17868i
\(305\) 314118. 1.37624e6i 0.193350 0.847120i
\(306\) 1.61707e6 778740.i 0.987246 0.475433i
\(307\) −3.01355e6 −1.82487 −0.912436 0.409220i \(-0.865801\pi\)
−0.912436 + 0.409220i \(0.865801\pi\)
\(308\) 2.16636e6 1.30123
\(309\) 324432. 156238.i 0.193298 0.0930874i
\(310\) 511527. + 2.24114e6i 0.302318 + 1.32454i
\(311\) 2.74954e6 + 1.32411e6i 1.61197 + 0.776286i 0.999895 0.0145095i \(-0.00461868\pi\)
0.612080 + 0.790796i \(0.290333\pi\)
\(312\) −36569.4 160221.i −0.0212682 0.0931822i
\(313\) −188881. 236850.i −0.108975 0.136651i 0.724353 0.689430i \(-0.242139\pi\)
−0.833328 + 0.552779i \(0.813567\pi\)
\(314\) −2.63003e6 + 1.26655e6i −1.50534 + 0.724936i
\(315\) −1.33808e6 1.67789e6i −0.759809 0.952770i
\(316\) −164241. + 719587.i −0.0925261 + 0.405383i
\(317\) 951786. + 458356.i 0.531975 + 0.256186i 0.680532 0.732718i \(-0.261749\pi\)
−0.148557 + 0.988904i \(0.547463\pi\)
\(318\) −692536. 333508.i −0.384038 0.184943i
\(319\) 2.24599e6 2.81639e6i 1.23575 1.54959i
\(320\) 245930. 1.07749e6i 0.134257 0.588217i
\(321\) 159842. + 700312.i 0.0865820 + 0.379340i
\(322\) 3.39743e6 4.26025e6i 1.82604 2.28979i
\(323\) 1.46820e6 1.84106e6i 0.783029 0.981888i
\(324\) −196190. 859563.i −0.103828 0.454899i
\(325\) −8250.87 + 36149.4i −0.00433303 + 0.0189842i
\(326\) −2.37467e6 + 2.97774e6i −1.23754 + 1.55182i
\(327\) −294814. 141975.i −0.152468 0.0734246i
\(328\) 62526.5 + 30111.2i 0.0320907 + 0.0154541i
\(329\) 596678. 2.61422e6i 0.303914 1.33153i
\(330\) 701919. + 880178.i 0.354815 + 0.444924i
\(331\) −1.40611e6 + 677149.i −0.705425 + 0.339715i −0.751966 0.659202i \(-0.770894\pi\)
0.0465415 + 0.998916i \(0.485180\pi\)
\(332\) 51211.0 + 64216.6i 0.0254987 + 0.0319744i
\(333\) 505192. + 2.21339e6i 0.249658 + 1.09382i
\(334\) −362328. 174488.i −0.177720 0.0855854i
\(335\) 74918.1 + 328238.i 0.0364733 + 0.159800i
\(336\) −1.20543e6 + 580505.i −0.582498 + 0.280516i
\(337\) −3.05455e6 −1.46512 −0.732560 0.680703i \(-0.761675\pi\)
−0.732560 + 0.680703i \(0.761675\pi\)
\(338\) −21563.7 −0.0102667
\(339\) 753555. 362893.i 0.356136 0.171506i
\(340\) 367751. 1.61122e6i 0.172527 0.755889i
\(341\) 1.49496e6 1.87462e6i 0.696217 0.873029i
\(342\) −2.02658e6 2.54126e6i −0.936913 1.17485i
\(343\) 316302. 0.145167
\(344\) 536775. 38136.7i 0.244566 0.0173759i
\(345\) 1.27425e6 0.576379
\(346\) 992609. + 1.24469e6i 0.445747 + 0.558949i
\(347\) −535427. + 671404.i −0.238713 + 0.299337i −0.886729 0.462290i \(-0.847028\pi\)
0.648015 + 0.761627i \(0.275599\pi\)
\(348\) 288471. 1.26387e6i 0.127689 0.559443i
\(349\) −3.41227e6 + 1.64327e6i −1.49962 + 0.722178i −0.990370 0.138443i \(-0.955790\pi\)
−0.509247 + 0.860620i \(0.670076\pi\)
\(350\) 86873.5 0.0379068
\(351\) −1.66387e6 −0.720861
\(352\) −2.99686e6 + 1.44321e6i −1.28917 + 0.620831i
\(353\) 319603. + 1.40027e6i 0.136513 + 0.598103i 0.996186 + 0.0872579i \(0.0278104\pi\)
−0.859673 + 0.510845i \(0.829332\pi\)
\(354\) 996529. + 479903.i 0.422651 + 0.203538i
\(355\) 319767. + 1.40099e6i 0.134667 + 0.590016i
\(356\) 1.76393e6 + 2.21189e6i 0.737659 + 0.924995i
\(357\) −1.16850e6 + 562720.i −0.485242 + 0.233680i
\(358\) −534523. 670271.i −0.220424 0.276403i
\(359\) 877474. 3.84447e6i 0.359334 1.57435i −0.395523 0.918456i \(-0.629437\pi\)
0.754857 0.655889i \(-0.227706\pi\)
\(360\) 456776. + 219972.i 0.185758 + 0.0894562i
\(361\) −1.61132e6 775971.i −0.650749 0.313384i
\(362\) 3.06496e6 3.84333e6i 1.22929 1.54148i
\(363\) 44344.7 194287.i 0.0176634 0.0773886i
\(364\) 669485. + 2.93320e6i 0.264842 + 1.16035i
\(365\) 921542. 1.15558e6i 0.362062 0.454012i
\(366\) −734174. + 920625.i −0.286481 + 0.359236i
\(367\) −304129. 1.33248e6i −0.117867 0.516409i −0.999048 0.0436298i \(-0.986108\pi\)
0.881181 0.472780i \(-0.156749\pi\)
\(368\) −995316. + 4.36077e6i −0.383126 + 1.67858i
\(369\) 201177. 252267.i 0.0769151 0.0964485i
\(370\) 4.18553e6 + 2.01565e6i 1.58945 + 0.765438i
\(371\) −2.81771e6 1.35694e6i −1.06282 0.511828i
\(372\) 192010. 841252.i 0.0719394 0.315187i
\(373\) −2.05556e6 2.57759e6i −0.764994 0.959272i 0.234925 0.972014i \(-0.424516\pi\)
−0.999919 + 0.0127411i \(0.995944\pi\)
\(374\) −3.45134e6 + 1.66208e6i −1.27588 + 0.614431i
\(375\) 665613. + 834653.i 0.244424 + 0.306498i
\(376\) 140955. + 617566.i 0.0514177 + 0.225275i
\(377\) 4.50741e6 + 2.17066e6i 1.63333 + 0.786571i
\(378\) 867459. + 3.80058e6i 0.312262 + 1.36811i
\(379\) 141135. 67966.9i 0.0504703 0.0243052i −0.408478 0.912768i \(-0.633940\pi\)
0.458949 + 0.888463i \(0.348226\pi\)
\(380\) −2.99295e6 −1.06326
\(381\) −591932. −0.208910
\(382\) −6.43343e6 + 3.09818e6i −2.25571 + 1.08629i
\(383\) −805577. + 3.52946e6i −0.280614 + 1.22945i 0.616394 + 0.787438i \(0.288593\pi\)
−0.897008 + 0.442014i \(0.854264\pi\)
\(384\) 337413. 423102.i 0.116771 0.146426i
\(385\) 2.85588e6 + 3.58116e6i 0.981947 + 1.23132i
\(386\) 41124.7 0.0140486
\(387\) 382471. 2.47255e6i 0.129814 0.839203i
\(388\) −2.61232e6 −0.880942
\(389\) −1.83605e6 2.30233e6i −0.615191 0.771425i 0.372468 0.928045i \(-0.378512\pi\)
−0.987659 + 0.156620i \(0.949940\pi\)
\(390\) −974822. + 1.22239e6i −0.324537 + 0.406956i
\(391\) −964823. + 4.22717e6i −0.319158 + 1.39832i
\(392\) −739391. + 356072.i −0.243030 + 0.117037i
\(393\) −183034. −0.0597791
\(394\) −2.30026e6 −0.746510
\(395\) −1.40605e6 + 677117.i −0.453427 + 0.218359i
\(396\) 529466. + 2.31974e6i 0.169668 + 0.743364i
\(397\) 754611. + 363402.i 0.240296 + 0.115721i 0.550157 0.835061i \(-0.314568\pi\)
−0.309860 + 0.950782i \(0.600282\pi\)
\(398\) −990971. 4.34173e6i −0.313584 1.37390i
\(399\) 1.46442e6 + 1.83632e6i 0.460503 + 0.577452i
\(400\) −64248.9 + 30940.7i −0.0200778 + 0.00966896i
\(401\) −14411.6 18071.6i −0.00447560 0.00561222i 0.779589 0.626292i \(-0.215428\pi\)
−0.784064 + 0.620680i \(0.786857\pi\)
\(402\) 62493.5 273802.i 0.0192872 0.0845028i
\(403\) 3.00019e6 + 1.44482e6i 0.920210 + 0.443150i
\(404\) −3.32307e6 1.60031e6i −1.01295 0.487809i
\(405\) 1.16229e6 1.45746e6i 0.352108 0.441530i
\(406\) 2.60824e6 1.14274e7i 0.785294 3.44060i
\(407\) −1.07824e6 4.72408e6i −0.322649 1.41362i
\(408\) 191025. 239538.i 0.0568120 0.0712400i
\(409\) 514390. 645024.i 0.152049 0.190664i −0.699973 0.714169i \(-0.746805\pi\)
0.852022 + 0.523506i \(0.175376\pi\)
\(410\) −146918. 643689.i −0.0431633 0.189111i
\(411\) 139085. 609372.i 0.0406140 0.177942i
\(412\) 970974. 1.21756e6i 0.281815 0.353385i
\(413\) 4.05456e6 + 1.95257e6i 1.16968 + 0.563290i
\(414\) 5.39221e6 + 2.59675e6i 1.54620 + 0.744611i
\(415\) −38644.2 + 169311.i −0.0110145 + 0.0482576i
\(416\) −2.88021e6 3.61167e6i −0.816002 1.02323i
\(417\) −866293. + 417185.i −0.243964 + 0.117487i
\(418\) 4.32538e6 + 5.42385e6i 1.21083 + 1.51833i
\(419\) −36855.7 161475.i −0.0102558 0.0449336i 0.969541 0.244929i \(-0.0787645\pi\)
−0.979797 + 0.199995i \(0.935907\pi\)
\(420\) 1.48516e6 + 715214.i 0.410818 + 0.197840i
\(421\) −899194. 3.93962e6i −0.247257 1.08330i −0.934244 0.356633i \(-0.883925\pi\)
0.686988 0.726669i \(-0.258933\pi\)
\(422\) 2.56131e6 1.23346e6i 0.700133 0.337166i
\(423\) 2.94513e6 0.800302
\(424\) 738801. 0.199578
\(425\) −62280.6 + 29992.7i −0.0167255 + 0.00805460i
\(426\) 266736. 1.16864e6i 0.0712126 0.312003i
\(427\) −2.98712e6 + 3.74573e6i −0.792835 + 0.994183i
\(428\) 1.93693e6 + 2.42883e6i 0.511098 + 0.640896i
\(429\) 1.63080e6 0.427816
\(430\) −3.46764e6 3.76637e6i −0.904406 0.982317i
\(431\) −3.20911e6 −0.832130 −0.416065 0.909335i \(-0.636591\pi\)
−0.416065 + 0.909335i \(0.636591\pi\)
\(432\) −1.99515e6 2.50184e6i −0.514359 0.644986i
\(433\) 638664. 800859.i 0.163702 0.205275i −0.693214 0.720731i \(-0.743806\pi\)
0.856916 + 0.515456i \(0.172378\pi\)
\(434\) 1.73608e6 7.60626e6i 0.442430 1.93841i
\(435\) 2.46957e6 1.18928e6i 0.625745 0.301343i
\(436\) −1.41515e6 −0.356522
\(437\) 7.85223e6 1.96693
\(438\) −1.11082e6 + 534943.i −0.276668 + 0.133236i
\(439\) −576151. 2.52428e6i −0.142684 0.625139i −0.994805 0.101795i \(-0.967541\pi\)
0.852121 0.523344i \(-0.175316\pi\)
\(440\) −974905. 469490.i −0.240066 0.115610i
\(441\) 849042. + 3.71989e6i 0.207889 + 0.910823i
\(442\) −3.31701e6 4.15939e6i −0.807589 1.01268i
\(443\) 3.51771e6 1.69404e6i 0.851629 0.410123i 0.0434470 0.999056i \(-0.486166\pi\)
0.808182 + 0.588933i \(0.200452\pi\)
\(444\) −1.08724e6 1.36336e6i −0.261739 0.328211i
\(445\) −1.33107e6 + 5.83180e6i −0.318641 + 1.39606i
\(446\) 2.08461e6 + 1.00389e6i 0.496234 + 0.238974i
\(447\) 1.11352e6 + 536241.i 0.263589 + 0.126938i
\(448\) −2.33868e6 + 2.93261e6i −0.550523 + 0.690334i
\(449\) −523464. + 2.29345e6i −0.122538 + 0.536874i 0.875975 + 0.482357i \(0.160219\pi\)
−0.998513 + 0.0545175i \(0.982638\pi\)
\(450\) 21232.1 + 93024.1i 0.00494268 + 0.0216553i
\(451\) −429375. + 538419.i −0.0994020 + 0.124646i
\(452\) 2.25527e6 2.82802e6i 0.519222 0.651083i
\(453\) −628505. 2.75366e6i −0.143901 0.630471i
\(454\) 268613. 1.17687e6i 0.0611629 0.267972i
\(455\) −3.96624e6 + 4.97350e6i −0.898152 + 1.12625i
\(456\) −499904. 240741.i −0.112584 0.0542174i
\(457\) 5.55038e6 + 2.67292e6i 1.24318 + 0.598682i 0.935674 0.352866i \(-0.114793\pi\)
0.307502 + 0.951548i \(0.400507\pi\)
\(458\) −1.17541e6 + 5.14979e6i −0.261833 + 1.14716i
\(459\) −1.93403e6 2.42519e6i −0.428480 0.537297i
\(460\) 4.96513e6 2.39108e6i 1.09405 0.526865i
\(461\) 367520. + 460856.i 0.0805432 + 0.100998i 0.820470 0.571689i \(-0.193712\pi\)
−0.739927 + 0.672687i \(0.765140\pi\)
\(462\) −850216. 3.72504e6i −0.185321 0.811944i
\(463\) −3.21136e6 1.54651e6i −0.696204 0.335274i 0.0520894 0.998642i \(-0.483412\pi\)
−0.748293 + 0.663368i \(0.769126\pi\)
\(464\) 2.14100e6 + 9.38032e6i 0.461659 + 2.02266i
\(465\) 1.64378e6 791601.i 0.352541 0.169775i
\(466\) 420317. 0.0896627
\(467\) −3.43105e6 −0.728007 −0.364003 0.931398i \(-0.618590\pi\)
−0.364003 + 0.931398i \(0.618590\pi\)
\(468\) −2.97725e6 + 1.43377e6i −0.628348 + 0.302597i
\(469\) 254266. 1.11401e6i 0.0533772 0.233861i
\(470\) 3.75742e6 4.71165e6i 0.784593 0.983849i
\(471\) 1.44449e6 + 1.81134e6i 0.300029 + 0.376224i
\(472\) −1.06310e6 −0.219645
\(473\) −816315. + 5.27720e6i −0.167766 + 1.08455i
\(474\) 1.30178e6 0.266129
\(475\) 78052.7 + 97875.0i 0.0158728 + 0.0199039i
\(476\) −3.49714e6 + 4.38528e6i −0.707450 + 0.887114i
\(477\) 764350. 3.34884e6i 0.153814 0.673904i
\(478\) 9.02048e6 4.34403e6i 1.80576 0.869608i
\(479\) −9.62644e6 −1.91702 −0.958511 0.285056i \(-0.907988\pi\)
−0.958511 + 0.285056i \(0.907988\pi\)
\(480\) −2.53098e6 −0.501401
\(481\) 6.06308e6 2.91982e6i 1.19490 0.575432i
\(482\) 991084. + 4.34222e6i 0.194309 + 0.851323i
\(483\) −3.89643e6 1.87642e6i −0.759974 0.365984i
\(484\) −191781. 840250.i −0.0372129 0.163040i
\(485\) −3.44378e6 4.31836e6i −0.664784 0.833613i
\(486\) −5.94379e6 + 2.86238e6i −1.14149 + 0.549714i
\(487\) −813233. 1.01976e6i −0.155379 0.194839i 0.698049 0.716050i \(-0.254052\pi\)
−0.853428 + 0.521211i \(0.825480\pi\)
\(488\) 251846. 1.10341e6i 0.0478725 0.209743i
\(489\) 2.72344e6 + 1.31154e6i 0.515046 + 0.248033i
\(490\) 7.03434e6 + 3.38756e6i 1.32353 + 0.637377i
\(491\) −2.03062e6 + 2.54632e6i −0.380124 + 0.476660i −0.934682 0.355485i \(-0.884316\pi\)
0.554558 + 0.832145i \(0.312887\pi\)
\(492\) −55148.1 + 241620.i −0.0102711 + 0.0450007i
\(493\) 2.07540e6 + 9.09294e6i 0.384579 + 1.68495i
\(494\) −6.00706e6 + 7.53262e6i −1.10750 + 1.38876i
\(495\) −3.13672e6 + 3.93332e6i −0.575390 + 0.721517i
\(496\) 1.42508e6 + 6.24367e6i 0.260096 + 1.13956i
\(497\) 1.08526e6 4.75484e6i 0.197080 0.863465i
\(498\) 90321.4 113259.i 0.0163199 0.0204645i
\(499\) −2.72303e6 1.31134e6i −0.489554 0.235757i 0.172787 0.984959i \(-0.444723\pi\)
−0.662341 + 0.749202i \(0.730437\pi\)
\(500\) 4.15975e6 + 2.00323e6i 0.744119 + 0.358349i
\(501\) −71023.0 + 311172.i −0.0126417 + 0.0553868i
\(502\) −4.37142e6 5.48159e6i −0.774218 0.970839i
\(503\) 1.68593e6 811900.i 0.297111 0.143081i −0.279390 0.960178i \(-0.590132\pi\)
0.576501 + 0.817097i \(0.304418\pi\)
\(504\) −1.07281e6 1.34526e6i −0.188125 0.235902i
\(505\) −1.73532e6 7.60294e6i −0.302797 1.32664i
\(506\) −1.15087e7 5.54229e6i −1.99825 0.962306i
\(507\) 3808.29 + 16685.2i 0.000657977 + 0.00288278i
\(508\) −2.30646e6 + 1.11073e6i −0.396540 + 0.190964i
\(509\) 5.11862e6 0.875706 0.437853 0.899047i \(-0.355739\pi\)
0.437853 + 0.899047i \(0.355739\pi\)
\(510\) −2.91481e6 −0.496232
\(511\) −4.51957e6 + 2.17651e6i −0.765675 + 0.368730i
\(512\) 1.60518e6 7.03274e6i 0.270613 1.18563i
\(513\) −3.50250e6 + 4.39200e6i −0.587604 + 0.736833i
\(514\) 5.92325e6 + 7.42752e6i 0.988900 + 1.24004i
\(515\) 3.29274e6 0.547066
\(516\) 559324. + 1.83852e6i 0.0924782 + 0.303980i
\(517\) −6.28585e6 −1.03428
\(518\) −9.83041e6 1.23269e7i −1.60971 2.01851i
\(519\) 787796. 987865.i 0.128379 0.160983i
\(520\) 334397. 1.46509e6i 0.0542317 0.237605i
\(521\) −2.63202e6 + 1.26752e6i −0.424811 + 0.204578i −0.634059 0.773284i \(-0.718612\pi\)
0.209249 + 0.977862i \(0.432898\pi\)
\(522\) 1.28740e7 2.06793
\(523\) 8.84996e6 1.41477 0.707387 0.706826i \(-0.249874\pi\)
0.707387 + 0.706826i \(0.249874\pi\)
\(524\) −713190. + 343454.i −0.113469 + 0.0546438i
\(525\) −15342.4 67219.5i −0.00242938 0.0106438i
\(526\) 2.37541e6 + 1.14393e6i 0.374346 + 0.180276i
\(527\) 1.38142e6 + 6.05238e6i 0.216670 + 0.949292i
\(528\) 1.95549e6 + 2.45211e6i 0.305261 + 0.382786i
\(529\) −7.22746e6 + 3.48056e6i −1.12291 + 0.540767i
\(530\) −4.38234e6 5.49528e6i −0.677667 0.849767i
\(531\) −1.09987e6 + 4.81883e6i −0.169279 + 0.741661i
\(532\) 9.15187e6 + 4.40731e6i 1.40194 + 0.675141i
\(533\) −861699. 414972.i −0.131382 0.0632705i
\(534\) 3.11105e6 3.90114e6i 0.472122 0.592023i
\(535\) −1.46162e6 + 6.40377e6i −0.220775 + 0.967278i
\(536\) 60066.1 + 263167.i 0.00903062 + 0.0395657i
\(537\) −424231. + 531968.i −0.0634843 + 0.0796068i
\(538\) 5.67812e6 7.12014e6i 0.845763 1.06055i
\(539\) −1.81212e6 7.93944e6i −0.268668 1.17711i
\(540\) −877299. + 3.84370e6i −0.129468 + 0.567238i
\(541\) 1.36706e6 1.71424e6i 0.200814 0.251813i −0.671220 0.741258i \(-0.734229\pi\)
0.872034 + 0.489445i \(0.162801\pi\)
\(542\) −8.61915e6 4.15076e6i −1.26028 0.606918i
\(543\) −3.51512e6 1.69279e6i −0.511612 0.246379i
\(544\) 1.91637e6 8.39618e6i 0.277641 1.21642i
\(545\) −1.86557e6 2.33935e6i −0.269042 0.337368i
\(546\) 4.78087e6 2.30235e6i 0.686318 0.330513i
\(547\) 5.13409e6 + 6.43794e6i 0.733660 + 0.919981i 0.999024 0.0441675i \(-0.0140635\pi\)
−0.265364 + 0.964148i \(0.585492\pi\)
\(548\) −601513. 2.63540e6i −0.0855646 0.374883i
\(549\) −4.74098e6 2.28314e6i −0.671332 0.323297i
\(550\) −45316.2 198543.i −0.00638773 0.0279865i
\(551\) 1.52180e7 7.32860e6i 2.13540 1.02835i
\(552\) 1.02164e6 0.142709
\(553\) 5.29653e6 0.736510
\(554\) −1.38527e7 + 6.67111e6i −1.91761 + 0.923472i
\(555\) 820441. 3.59459e6i 0.113062 0.495355i
\(556\) −2.59268e6 + 3.25112e6i −0.355682 + 0.446012i
\(557\) −7.80460e6 9.78666e6i −1.06589 1.33658i −0.938711 0.344705i \(-0.887979\pi\)
−0.127180 0.991880i \(-0.540593\pi\)
\(558\) 8.56908e6 1.16506
\(559\) −7.39747e6 + 525575.i −1.00128 + 0.0711385i
\(560\) −1.22342e7 −1.64857
\(561\) 1.89558e6 + 2.37699e6i 0.254294 + 0.318875i
\(562\) −1.07953e7 + 1.35368e7i −1.44176 + 1.80791i
\(563\) 1.44210e6 6.31823e6i 0.191745 0.840088i −0.783927 0.620853i \(-0.786787\pi\)
0.975672 0.219235i \(-0.0703563\pi\)
\(564\) −2.03810e6 + 981498.i −0.269791 + 0.129925i
\(565\) 7.64802e6 1.00792
\(566\) 6.76265e6 0.887311
\(567\) −5.70027e6 + 2.74511e6i −0.744625 + 0.358593i
\(568\) 256375. + 1.12325e6i 0.0333430 + 0.146085i
\(569\) 5.30283e6 + 2.55371e6i 0.686637 + 0.330667i 0.744467 0.667660i \(-0.232704\pi\)
−0.0578299 + 0.998326i \(0.518418\pi\)
\(570\) 1.17462e6 + 5.14634e6i 0.151429 + 0.663455i
\(571\) 2.03276e6 + 2.54900e6i 0.260913 + 0.327175i 0.894982 0.446102i \(-0.147188\pi\)
−0.634069 + 0.773276i \(0.718617\pi\)
\(572\) 6.35440e6 3.06012e6i 0.812053 0.391064i
\(573\) 3.53344e6 + 4.43079e6i 0.449584 + 0.563761i
\(574\) −498626. + 2.18463e6i −0.0631678 + 0.276756i
\(575\) −207678. 100012.i −0.0261951 0.0126149i
\(576\) −3.71182e6 1.78752e6i −0.466155 0.224488i
\(577\) −2.96422e6 + 3.71701e6i −0.370656 + 0.464788i −0.931822 0.362915i \(-0.881781\pi\)
0.561166 + 0.827703i \(0.310353\pi\)
\(578\) −202949. + 889178.i −0.0252678 + 0.110705i
\(579\) −7262.88 31820.7i −0.000900352 0.00394470i
\(580\) 7.39103e6 9.26805e6i 0.912294 1.14398i
\(581\) 367488. 460816.i 0.0451651 0.0566353i
\(582\) 1.02524e6 + 4.49186e6i 0.125463 + 0.549691i
\(583\) −1.63137e6 + 7.14748e6i −0.198783 + 0.870927i
\(584\) 738854. 926493.i 0.0896450 0.112411i
\(585\) −6.29498e6 3.03150e6i −0.760510 0.366242i
\(586\) 4.89428e6 + 2.35696e6i 0.588769 + 0.283536i
\(587\) −377955. + 1.65593e6i −0.0452736 + 0.198357i −0.992507 0.122188i \(-0.961009\pi\)
0.947233 + 0.320545i \(0.103866\pi\)
\(588\) −1.82725e6 2.29130e6i −0.217949 0.273300i
\(589\) 1.01293e7 4.87801e6i 1.20307 0.579368i
\(590\) 6.30599e6 + 7.90747e6i 0.745802 + 0.935206i
\(591\) 406240. + 1.77985e6i 0.0478425 + 0.209612i
\(592\) 1.16606e7 + 5.61545e6i 1.36747 + 0.658537i
\(593\) −35451.2 155322.i −0.00413994 0.0181383i 0.972816 0.231580i \(-0.0743896\pi\)
−0.976956 + 0.213442i \(0.931533\pi\)
\(594\) 8.23346e6 3.96503e6i 0.957450 0.461084i
\(595\) −1.18594e7 −1.37332
\(596\) 5.34505e6 0.616362
\(597\) −3.18446e6 + 1.53355e6i −0.365679 + 0.176102i
\(598\) 3.94753e6 1.72953e7i 0.451411 1.97776i
\(599\) 6.25520e6 7.84378e6i 0.712319 0.893220i −0.285557 0.958362i \(-0.592179\pi\)
0.997876 + 0.0651422i \(0.0207501\pi\)
\(600\) 10155.3 + 12734.4i 0.00115164 + 0.00144411i
\(601\) 1.29365e7 1.46093 0.730467 0.682948i \(-0.239302\pi\)
0.730467 + 0.682948i \(0.239302\pi\)
\(602\) 5.05718e6 + 1.66232e7i 0.568745 + 1.86949i
\(603\) 1.25503e6 0.140559
\(604\) −7.61609e6 9.55027e6i −0.849453 1.06518i
\(605\) 1.13617e6 1.42472e6i 0.126199 0.158249i
\(606\) −1.44753e6 + 6.34204e6i −0.160120 + 0.701532i
\(607\) −5.18651e6 + 2.49769e6i −0.571352 + 0.275148i −0.697171 0.716905i \(-0.745558\pi\)
0.125820 + 0.992053i \(0.459844\pi\)
\(608\) −1.55964e7 −1.71106
\(609\) −9.30276e6 −1.01641
\(610\) −9.70116e6 + 4.67183e6i −1.05560 + 0.508350i
\(611\) −1.94255e6 8.51088e6i −0.210509 0.922299i
\(612\) −5.55046e6 2.67296e6i −0.599033 0.288479i
\(613\) −861529. 3.77460e6i −0.0926016 0.405714i 0.907289 0.420508i \(-0.138148\pi\)
−0.999891 + 0.0147935i \(0.995291\pi\)
\(614\) 1.43318e7 + 1.79715e7i 1.53419 + 1.92381i
\(615\) −472116. + 227359.i −0.0503339 + 0.0242395i
\(616\) 2.28972e6 + 2.87122e6i 0.243126 + 0.304870i
\(617\) −1.72769e6 + 7.56951e6i −0.182706 + 0.800488i 0.797629 + 0.603148i \(0.206087\pi\)
−0.980335 + 0.197340i \(0.936770\pi\)
\(618\) −2.47466e6 1.19173e6i −0.260642 0.125518i
\(619\) 9.36871e6 + 4.51173e6i 0.982773 + 0.473279i 0.855058 0.518532i \(-0.173521\pi\)
0.127715 + 0.991811i \(0.459236\pi\)
\(620\) 4.91957e6 6.16894e6i 0.513982 0.644513i
\(621\) 2.30166e6 1.00842e7i 0.239504 1.04934i
\(622\) −5.17979e6 2.26941e7i −0.536829 2.35200i
\(623\) 1.26579e7 1.58725e7i 1.30659 1.63842i
\(624\) −2.71578e6 + 3.40548e6i −0.279212 + 0.350120i
\(625\) 2.13008e6 + 9.33251e6i 0.218121 + 0.955649i
\(626\) −514189. + 2.25281e6i −0.0524429 + 0.229767i
\(627\) 3.43288e6 4.30470e6i 0.348731 0.437295i
\(628\) 9.02735e6 + 4.34734e6i 0.913400 + 0.439870i
\(629\) 1.13034e7 + 5.44341e6i 1.13915 + 0.548585i
\(630\) −3.64262e6 + 1.59594e7i −0.365648 + 1.60201i
\(631\) 1.36321e6 + 1.70941e6i 0.136298 + 0.170912i 0.845296 0.534298i \(-0.179424\pi\)
−0.708998 + 0.705210i \(0.750853\pi\)
\(632\) −1.12731e6 + 542884.i −0.112267 + 0.0540647i
\(633\) −1.40675e6 1.76401e6i −0.139543 0.174981i
\(634\) −1.79305e6 7.85587e6i −0.177161 0.776195i
\(635\) −4.87669e6 2.34849e6i −0.479945 0.231129i
\(636\) 587088. + 2.57220e6i 0.0575520 + 0.252152i
\(637\) 1.01898e7 4.90715e6i 0.994986 0.479160i
\(638\) −2.74771e7 −2.67251
\(639\) 5.35672e6 0.518975
\(640\) 4.45847e6 2.14709e6i 0.430265 0.207205i
\(641\) 1.69447e6 7.42395e6i 0.162888 0.713658i −0.825836 0.563910i \(-0.809297\pi\)
0.988724 0.149748i \(-0.0478463\pi\)
\(642\) 3.41618e6 4.28375e6i 0.327117 0.410192i
\(643\) −1.10499e7 1.38561e7i −1.05397 1.32164i −0.944811 0.327617i \(-0.893754\pi\)
−0.109163 0.994024i \(-0.534817\pi\)
\(644\) −1.87034e7 −1.77708
\(645\) −2.30187e6 + 3.34830e6i −0.217862 + 0.316902i
\(646\) −1.79617e7 −1.69342
\(647\) −6.02749e6 7.55824e6i −0.566078 0.709839i 0.413591 0.910463i \(-0.364274\pi\)
−0.979668 + 0.200624i \(0.935703\pi\)
\(648\) 931874. 1.16853e6i 0.0871805 0.109321i
\(649\) 2.34746e6 1.02849e7i 0.218770 0.958493i
\(650\) 254818. 122714.i 0.0236563 0.0113923i
\(651\) −6.19204e6 −0.572640
\(652\) 1.30729e7 1.20435
\(653\) 9.32868e6 4.49246e6i 0.856125 0.412288i 0.0462779 0.998929i \(-0.485264\pi\)
0.809848 + 0.586640i \(0.199550\pi\)
\(654\) 555393. + 2.43334e6i 0.0507757 + 0.222463i
\(655\) −1.50794e6 726187.i −0.137335 0.0661371i
\(656\) −409302. 1.79327e6i −0.0371351 0.162699i
\(657\) −3.43520e6 4.30760e6i −0.310484 0.389334i
\(658\) −1.84277e7 + 8.87431e6i −1.65923 + 0.799042i
\(659\) −5.41527e6 6.79054e6i −0.485743 0.609103i 0.477204 0.878793i \(-0.341650\pi\)
−0.962947 + 0.269690i \(0.913079\pi\)
\(660\) 859861. 3.76730e6i 0.0768367 0.336644i
\(661\) −1.73295e7 8.34546e6i −1.54271 0.742928i −0.547144 0.837039i \(-0.684285\pi\)
−0.995562 + 0.0941106i \(0.969999\pi\)
\(662\) 1.07254e7 + 5.16507e6i 0.951190 + 0.458069i
\(663\) −2.63258e6 + 3.30115e6i −0.232594 + 0.291663i
\(664\) −30983.3 + 135747.i −0.00272714 + 0.0119484i
\(665\) 4.77914e6 + 2.09388e7i 0.419079 + 1.83610i
\(666\) 1.07971e7 1.35391e7i 0.943238 1.18278i
\(667\) −1.93909e7 + 2.43155e7i −1.68766 + 2.11626i
\(668\) 307159. + 1.34575e6i 0.0266331 + 0.116687i
\(669\) 408621. 1.79028e6i 0.0352984 0.154652i
\(670\) 1.60117e6 2.00780e6i 0.137800 0.172796i
\(671\) 1.01188e7 + 4.87294e6i 0.867603 + 0.417816i
\(672\) 7.73926e6 + 3.72703e6i 0.661114 + 0.318376i
\(673\) −3.35591e6 + 1.47032e7i −0.285609 + 1.25134i 0.604875 + 0.796321i \(0.293223\pi\)
−0.890484 + 0.455015i \(0.849634\pi\)
\(674\) 1.45268e7 + 1.82160e7i 1.23174 + 1.54455i
\(675\) 148575. 71550.1i 0.0125513 0.00604437i
\(676\) 46148.1 + 57867.9i 0.00388407 + 0.00487047i
\(677\) 1.77801e6 + 7.78996e6i 0.149095 + 0.653226i 0.993138 + 0.116951i \(0.0373120\pi\)
−0.844043 + 0.536275i \(0.819831\pi\)
\(678\) −5.74787e6 2.76803e6i −0.480211 0.231258i
\(679\) 4.17136e6 + 1.82759e7i 0.347219 + 1.52127i
\(680\) 2.52415e6 1.21557e6i 0.209335 0.100811i
\(681\) −958059. −0.0791634
\(682\) −1.82891e7 −1.50568
\(683\) −7.76686e6 + 3.74032e6i −0.637080 + 0.306801i −0.724401 0.689379i \(-0.757884\pi\)
0.0873213 + 0.996180i \(0.472169\pi\)
\(684\) −2.48260e6 + 1.08770e7i −0.202893 + 0.888930i
\(685\) 3.56355e6 4.46855e6i 0.290173 0.363865i
\(686\) −1.50426e6 1.88628e6i −0.122043 0.153037i
\(687\) 4.19230e6 0.338891
\(688\) −9.66060e6 1.04928e7i −0.778096 0.845126i
\(689\) −1.01817e7 −0.817092
\(690\) −6.06006e6 7.59908e6i −0.484568 0.607629i
\(691\) −7.86626e6 + 9.86398e6i −0.626720 + 0.785882i −0.989273 0.146082i \(-0.953334\pi\)
0.362553 + 0.931963i \(0.381905\pi\)
\(692\) 1.21596e6 5.32748e6i 0.0965283 0.422918i
\(693\) 1.53836e7 7.40834e6i 1.21681 0.585986i
\(694\) 6.55032e6 0.516255
\(695\) −8.79223e6 −0.690458
\(696\) 1.97999e6 953514.i 0.154932 0.0746112i
\(697\) −396762. 1.73833e6i −0.0309349 0.135535i
\(698\) 2.60277e7 + 1.25343e7i 2.02208 + 0.973780i
\(699\) −74230.6 325225.i −0.00574632 0.0251763i
\(700\) −185916. 233131.i −0.0143408 0.0179827i
\(701\) 1.37758e7 6.63407e6i 1.05882 0.509900i 0.178331 0.983970i \(-0.442930\pi\)
0.880487 + 0.474070i \(0.157216\pi\)
\(702\) 7.91299e6 + 9.92257e6i 0.606035 + 0.759944i
\(703\) 5.05573e6 2.21506e7i 0.385830 1.69043i
\(704\) 7.92220e6 + 3.81513e6i 0.602441 + 0.290120i
\(705\) −4.30928e6 2.07524e6i −0.326537 0.157252i
\(706\) 6.83065e6 8.56536e6i 0.515763 0.646746i
\(707\) −5.88953e6 + 2.58037e7i −0.443131 + 1.94148i
\(708\) −844795. 3.70129e6i −0.0633386 0.277504i
\(709\) −3.53872e6 + 4.43741e6i −0.264381 + 0.331523i −0.896248 0.443554i \(-0.853718\pi\)
0.631867 + 0.775077i \(0.282289\pi\)
\(710\) 6.83413e6 8.56973e6i 0.508789 0.638001i
\(711\) 1.29449e6 + 5.67152e6i 0.0960337 + 0.420751i
\(712\) −1.06720e6 + 4.67569e6i −0.0788941 + 0.345657i
\(713\) −1.29069e7 + 1.61847e7i −0.950817 + 1.19229i
\(714\) 8.91294e6 + 4.29224e6i 0.654298 + 0.315093i
\(715\) 1.34355e7 + 6.47019e6i 0.982853 + 0.473317i
\(716\) −654799. + 2.86886e6i −0.0477338 + 0.209135i
\(717\) −4.95433e6 6.21253e6i −0.359904 0.451305i
\(718\) −2.70997e7 + 1.30506e7i −1.96180 + 0.944752i
\(719\) −5.17552e6 6.48990e6i −0.373363 0.468183i 0.559282 0.828978i \(-0.311077\pi\)
−0.932645 + 0.360795i \(0.882505\pi\)
\(720\) −2.99008e6 1.31004e7i −0.214957 0.941788i
\(721\) −1.00686e7 4.84877e6i −0.721324 0.347371i
\(722\) 3.03553e6 + 1.32995e7i 0.216716 + 0.949496i
\(723\) 3.18482e6 1.53373e6i 0.226589 0.109120i
\(724\) −1.68731e7 −1.19632
\(725\) −495833. −0.0350341
\(726\) −1.36953e6 + 659533.i −0.0964342 + 0.0464403i
\(727\) 4.90410e6 2.14863e7i 0.344131 1.50773i −0.446133 0.894967i \(-0.647199\pi\)
0.790263 0.612768i \(-0.209944\pi\)
\(728\) −3.17996e6 + 3.98754e6i −0.222379 + 0.278854i
\(729\) −1.83759e6 2.30426e6i −0.128064 0.160588i
\(730\) −1.12740e7 −0.783016
\(731\) −9.36464e6 1.01714e7i −0.648183 0.704021i
\(732\) 4.04175e6 0.278800
\(733\) −1.60397e7 2.01132e7i −1.10265 1.38268i −0.916444 0.400164i \(-0.868953\pi\)
−0.186203 0.982511i \(-0.559618\pi\)
\(734\) −6.49992e6 + 8.15064e6i −0.445316 + 0.558408i
\(735\) 1.37886e6 6.04117e6i 0.0941459 0.412480i
\(736\) 2.58736e7 1.24601e7i 1.76061 0.847864i
\(737\) −2.67862e6 −0.181653
\(738\) −2.46116e6 −0.166341
\(739\) 5.02308e6 2.41899e6i 0.338344 0.162938i −0.256994 0.966413i \(-0.582732\pi\)
0.595339 + 0.803475i \(0.297018\pi\)
\(740\) −3.54823e6 1.55458e7i −0.238195 1.04360i
\(741\) 6.88935e6 + 3.31773e6i 0.460927 + 0.221971i
\(742\) 5.30821e6 + 2.32568e7i 0.353947 + 1.55074i
\(743\) 8.95008e6 + 1.12231e7i 0.594778 + 0.745828i 0.984554 0.175081i \(-0.0560189\pi\)
−0.389776 + 0.920910i \(0.627447\pi\)
\(744\) 1.31791e6 634672.i 0.0872877 0.0420356i
\(745\) 7.04628e6 + 8.83576e6i 0.465125 + 0.583248i
\(746\) −5.59582e6 + 2.45169e7i −0.368143 + 1.61294i
\(747\) 583257. + 280882.i 0.0382435 + 0.0184171i
\(748\) 1.18465e7 + 5.70495e6i 0.774166 + 0.372819i
\(749\) 1.38993e7 1.74292e7i 0.905293 1.13520i
\(750\) 1.81199e6 7.93884e6i 0.117626 0.515352i
\(751\) 1.43128e6 + 6.27084e6i 0.0926028 + 0.405719i 0.999891 0.0147908i \(-0.00470824\pi\)
−0.907288 + 0.420510i \(0.861851\pi\)
\(752\) 1.04679e7 1.31263e7i 0.675017 0.846444i
\(753\) −3.46943e6 + 4.35053e6i −0.222982 + 0.279611i
\(754\) −8.49142e6 3.72034e7i −0.543941 2.38316i
\(755\) 5.74715e6 2.51799e7i 0.366932 1.60763i
\(756\) 8.34271e6 1.04614e7i 0.530888 0.665712i
\(757\) −1.10051e7 5.29977e6i −0.697998 0.336138i 0.0510110 0.998698i \(-0.483756\pi\)
−0.749009 + 0.662560i \(0.769470\pi\)
\(758\) −1.07653e6 518429.i −0.0680538 0.0327730i