Properties

Label 43.6.e.a.4.5
Level 43
Weight 6
Character 43.4
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 4.5
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.5

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

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 0.157068 + 0.987588i \(0.449796\pi\)
−0.997778 + 0.0666293i \(0.978776\pi\)
\(3\) −3.77448 4.73304i −0.242133 0.303625i 0.645884 0.763435i \(-0.276489\pi\)
−0.888017 + 0.459810i \(0.847917\pi\)
\(4\) −5.82590 25.5249i −0.182059 0.797654i
\(5\) −49.8748 24.0184i −0.892187 0.429655i −0.0691264 0.997608i \(-0.522021\pi\)
−0.823061 + 0.567953i \(0.807735\pi\)
\(6\) 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 0.692939 + 0.720996i \(0.256315\pi\)
−0.937145 + 0.348940i \(0.886542\pi\)
\(12\) −98.8209 + 123.917i −0.198105 + 0.248416i
\(13\) 551.081 + 265.387i 0.904392 + 0.435532i 0.827473 0.561505i \(-0.189777\pi\)
0.0769190 + 0.997037i \(0.475492\pi\)
\(14\) −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 0.0501072 0.998744i \(-0.484044\pi\)
0.812091 + 0.583531i \(0.198329\pi\)
\(18\) 981.362 + 1230.59i 0.713917 + 0.895224i
\(19\) 459.522 + 2013.30i 0.292027 + 1.27945i 0.881700 + 0.471810i \(0.156399\pi\)
−0.589673 + 0.807642i \(0.700744\pi\)
\(20\) −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 −0.478773 0.877939i \(-0.658918\pi\)
0.812283 0.583263i \(-0.198224\pi\)
\(24\) 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 0.227102 0.973871i \(-0.427075\pi\)
0.898919 0.438115i \(-0.144354\pi\)
\(30\) −2303.03 1109.08i −0.467194 0.224989i
\(31\) 3394.40 4256.45i 0.634394 0.795505i −0.355895 0.934526i \(-0.615824\pi\)
0.990289 + 0.139021i \(0.0443954\pi\)
\(32\) −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 −0.825054 0.565054i \(-0.808855\pi\)
0.734479 + 0.678632i \(0.237427\pi\)
\(42\) 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 0.964759 + 0.263137i \(0.0847570\pi\)
−0.755047 + 0.655671i \(0.772386\pi\)
\(48\) −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 −0.763015 0.646380i \(-0.776282\pi\)
0.0296280 + 0.999561i \(0.490568\pi\)
\(54\) 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 0.0156387 0.999878i \(-0.495022\pi\)
0.791486 + 0.611187i \(0.209308\pi\)
\(60\) 7904.97 3806.83i 0.283480 0.136517i
\(61\) −15899.4 19937.2i −0.547086 0.686024i 0.429026 0.903292i \(-0.358857\pi\)
−0.976112 + 0.217268i \(0.930285\pi\)
\(62\) 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 0.989999 0.141071i \(-0.0450547\pi\)
−0.953167 + 0.302444i \(0.902198\pi\)
\(68\) −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 0.996292 + 0.0860342i \(0.0274194\pi\)
−0.860299 + 0.509789i \(0.829723\pi\)
\(72\) −5710.20 + 7160.37i −0.129814 + 0.162781i
\(73\) −24056.1 11584.8i −0.528345 0.254437i 0.150641 0.988588i \(-0.451866\pi\)
−0.678986 + 0.734151i \(0.737580\pi\)
\(74\) −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 0.797170 0.603755i \(-0.206329\pi\)
−0.766004 + 0.642835i \(0.777758\pi\)
\(84\) −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 0.990905 + 0.134565i \(0.0429638\pi\)
−0.0893057 + 0.996004i \(0.528465\pi\)
\(90\) −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 −0.701788 0.712386i \(-0.747614\pi\)
0.941382 0.337344i \(-0.109528\pi\)
\(98\) −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 −0.861258 0.508168i \(-0.830323\pi\)
0.555481 0.831529i \(-0.312534\pi\)
\(102\) 47440.4 22846.1i 0.451490 0.217426i
\(103\) −53591.5 + 25808.3i −0.497741 + 0.239699i −0.665873 0.746065i \(-0.731941\pi\)
0.168132 + 0.985764i \(0.446226\pi\)
\(104\) −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 0.988995 0.147946i \(-0.0472663\pi\)
−0.364309 + 0.931278i \(0.618695\pi\)
\(108\) 44405.3 + 55682.5i 0.366333 + 0.459367i
\(109\) 12027.7 52696.6i 0.0969650 0.424831i −0.903024 0.429591i \(-0.858658\pi\)
0.999989 + 0.00475934i \(0.00151495\pi\)
\(110\) 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 −0.832016 0.554752i \(-0.812813\pi\)
−0.0850307 + 0.996378i \(0.527099\pi\)
\(114\) 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 −0.585319 0.810803i \(-0.699031\pi\)
0.920720 + 0.390223i \(0.127602\pi\)
\(128\) −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 −0.731525 0.681814i \(-0.761191\pi\)
0.827500 + 0.561466i \(0.189763\pi\)
\(132\) −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 0.210014 0.977698i \(-0.432649\pi\)
−0.633453 + 0.773781i \(0.718363\pi\)
\(138\) 39070.4 171178.i 0.174642 0.765158i
\(139\) 143099. 68913.0i 0.628204 0.302527i −0.0925605 0.995707i \(-0.529505\pi\)
0.720765 + 0.693180i \(0.243791\pi\)
\(140\) −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 0.819304 + 0.573360i \(0.194360\pi\)
−0.986939 + 0.161097i \(0.948497\pi\)
\(150\) −1745.31 2188.55i −0.00633350 0.00794196i
\(151\) −290897. 364774.i −1.03824 1.30191i −0.952152 0.305624i \(-0.901135\pi\)
−0.0860871 0.996288i \(-0.527436\pi\)
\(152\) 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 0.903137 + 0.429352i \(0.141258\pi\)
−0.627410 + 0.778689i \(0.715885\pi\)
\(158\) −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 0.496223 + 0.868195i \(0.334720\pi\)
−0.823777 + 0.566914i \(0.808137\pi\)
\(164\) 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 0.498622 0.866819i \(-0.333840\pi\)
−0.366821 + 0.930292i \(0.619554\pi\)
\(168\) 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 −0.502479 0.864589i \(-0.667579\pi\)
0.827849 0.560950i \(-0.189564\pi\)
\(182\) −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 0.568891 + 0.822413i \(0.307372\pi\)
−0.155722 + 0.987801i \(0.549770\pi\)
\(192\) −26894.7 + 117834.i −0.0526519 + 0.230683i
\(193\) −3361.55 4215.25i −0.00649601 0.00814574i 0.778573 0.627554i \(-0.215944\pi\)
−0.785069 + 0.619408i \(0.787372\pi\)
\(194\) 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 0.923871 0.382704i \(-0.125007\pi\)
−0.578689 + 0.815548i \(0.696436\pi\)
\(198\) −624564. + 300774.i −1.13218 + 0.545227i
\(199\) 526027. 253321.i 0.941619 0.453460i 0.100879 0.994899i \(-0.467834\pi\)
0.840740 + 0.541439i \(0.182120\pi\)
\(200\) 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 −0.997696 0.0678464i \(-0.978387\pi\)
0.869455 0.494011i \(-0.164470\pi\)
\(212\) 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 0.240729 0.970592i \(-0.422614\pi\)
−0.608748 + 0.793364i \(0.708328\pi\)
\(224\) −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 −0.714212 0.699929i \(-0.753215\pi\)
0.841308 + 0.540557i \(0.181786\pi\)
\(228\) −294893. 142013.i −0.375688 0.180922i
\(229\) −431772. + 541425.i −0.544084 + 0.682259i −0.975527 0.219881i \(-0.929433\pi\)
0.431443 + 0.902140i \(0.358005\pi\)
\(230\) −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 0.760669 0.649139i \(-0.224871\pi\)
−0.802129 + 0.597151i \(0.796299\pi\)
\(234\) 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 −0.817676 0.575679i \(-0.804738\pi\)
0.486922 0.873445i \(-0.338119\pi\)
\(240\) 245788. + 308209.i 0.275444 + 0.345395i
\(241\) −526087. + 253350.i −0.583465 + 0.280982i −0.702241 0.711939i \(-0.747817\pi\)
0.118776 + 0.992921i \(0.462103\pi\)
\(242\) 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 0.289891 0.957060i \(-0.406381\pi\)
−0.567515 + 0.823363i \(0.692095\pi\)
\(264\) −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 −0.730685 0.682715i \(-0.760799\pi\)
0.954543 0.298073i \(-0.0963439\pi\)
\(270\) −716153. + 898028.i −0.597856 + 0.749688i
\(271\) 1.12998e6 + 544172.i 0.934651 + 0.450104i 0.838279 0.545241i \(-0.183562\pi\)
0.0963717 + 0.995345i \(0.469276\pi\)
\(272\) 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 0.774322 + 0.632792i \(0.218091\pi\)
−0.423081 + 0.906092i \(0.639052\pi\)
\(278\) −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 0.310838 + 0.950463i \(0.399390\pi\)
−0.692446 + 0.721470i \(0.743467\pi\)
\(282\) 146652. + 642523.i 0.109816 + 0.481134i
\(283\) −552783. 693168.i −0.410288 0.514484i 0.533156 0.846017i \(-0.321006\pi\)
−0.943444 + 0.331532i \(0.892434\pi\)
\(284\) 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 0.202630 0.979255i \(-0.435051\pi\)
−0.639275 + 0.768978i \(0.720765\pi\)
\(294\) 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 0.612080 0.790796i \(-0.290333\pi\)
0.999895 + 0.0145095i \(0.00461868\pi\)
\(312\) −36569.4 + 160221.i −0.0212682 + 0.0931822i
\(313\) −188881. + 236850.i −0.108975 + 0.136651i −0.833328 0.552779i \(-0.813567\pi\)
0.724353 + 0.689430i \(0.242139\pi\)
\(314\) −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 −0.148557 0.988904i \(-0.547463\pi\)
0.680532 + 0.732718i \(0.261749\pi\)
\(318\) −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 0.0465415 0.998916i \(-0.485180\pi\)
−0.751966 + 0.659202i \(0.770894\pi\)
\(332\) 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 0.648015 0.761627i \(-0.275599\pi\)
−0.886729 + 0.462290i \(0.847028\pi\)
\(348\) 288471. + 1.26387e6i 0.127689 + 0.559443i
\(349\) −3.41227e6 1.64327e6i −1.49962 0.722178i −0.509247 0.860620i \(-0.670076\pi\)
−0.990370 + 0.138443i \(0.955790\pi\)
\(350\) 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 −0.859673 0.510845i \(-0.829332\pi\)
0.996186 0.0872579i \(-0.0278104\pi\)
\(354\) 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 0.754857 + 0.655889i \(0.227706\pi\)
−0.395523 + 0.918456i \(0.629437\pi\)
\(360\) 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 0.881181 + 0.472780i \(0.156749\pi\)
−0.999048 + 0.0436298i \(0.986108\pi\)
\(368\) −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 −0.999919 0.0127411i \(-0.995944\pi\)
0.234925 + 0.972014i \(0.424516\pi\)
\(374\) −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 0.458949 0.888463i \(-0.348226\pi\)
−0.408478 + 0.912768i \(0.633940\pi\)
\(380\) −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 −0.897008 0.442014i \(-0.854264\pi\)
0.616394 0.787438i \(-0.288593\pi\)
\(384\) 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 −0.987659 0.156620i \(-0.949940\pi\)
0.372468 + 0.928045i \(0.378512\pi\)
\(390\) −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 −0.309860 0.950782i \(-0.600282\pi\)
0.550157 + 0.835061i \(0.314568\pi\)
\(398\) −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 −0.784064 0.620680i \(-0.786857\pi\)
0.779589 + 0.626292i \(0.215428\pi\)
\(402\) 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 0.852022 0.523506i \(-0.175376\pi\)
−0.699973 + 0.714169i \(0.746805\pi\)
\(410\) −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 −0.979797 0.199995i \(-0.935907\pi\)
0.969541 + 0.244929i \(0.0787645\pi\)
\(420\) 1.48516e6 715214.i 0.410818 0.197840i
\(421\) −899194. + 3.93962e6i −0.247257 + 1.08330i 0.686988 + 0.726669i \(0.258933\pi\)
−0.934244 + 0.356633i \(0.883925\pi\)
\(422\) 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 0.856916 0.515456i \(-0.172378\pi\)
−0.693214 + 0.720731i \(0.743806\pi\)
\(434\) 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 0.852121 + 0.523344i \(0.175316\pi\)
−0.994805 + 0.101795i \(0.967541\pi\)
\(440\) −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 0.808182 0.588933i \(-0.200452\pi\)
0.0434470 + 0.999056i \(0.486166\pi\)
\(444\) −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 −0.998513 0.0545175i \(-0.982638\pi\)
0.875975 0.482357i \(-0.160219\pi\)
\(450\) 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 0.307502 0.951548i \(-0.400507\pi\)
0.935674 + 0.352866i \(0.114793\pi\)
\(458\) −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 −0.739927 0.672687i \(-0.765140\pi\)
0.820470 + 0.571689i \(0.193712\pi\)
\(462\) −850216. + 3.72504e6i −0.185321 + 0.811944i
\(463\) −3.21136e6 + 1.54651e6i −0.696204 + 0.335274i −0.748293 0.663368i \(-0.769126\pi\)
0.0520894 + 0.998642i \(0.483412\pi\)
\(464\) 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 −0.853428 0.521211i \(-0.825480\pi\)
0.698049 + 0.716050i \(0.254052\pi\)
\(488\) 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 0.554558 0.832145i \(-0.312887\pi\)
−0.934682 + 0.355485i \(0.884316\pi\)
\(492\) −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 −0.662341 0.749202i \(-0.730437\pi\)
0.172787 + 0.984959i \(0.444723\pi\)
\(500\) 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 0.576501 0.817097i \(-0.304418\pi\)
−0.279390 + 0.960178i \(0.590132\pi\)
\(504\) −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 0.209249 0.977862i \(-0.432898\pi\)
−0.634059 + 0.773284i \(0.718612\pi\)
\(522\) 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 0.872034 0.489445i \(-0.162801\pi\)
−0.671220 + 0.741258i \(0.734229\pi\)
\(542\) −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 −0.265364 0.964148i \(-0.585492\pi\)
0.999024 + 0.0441675i \(0.0140635\pi\)
\(548\) −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 −0.127180 + 0.991880i \(0.540593\pi\)
−0.938711 + 0.344705i \(0.887979\pi\)
\(558\) 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 0.975672 + 0.219235i \(0.0703563\pi\)
−0.783927 + 0.620853i \(0.786787\pi\)
\(564\) −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 −0.0578299 0.998326i \(-0.518418\pi\)
0.744467 + 0.667660i \(0.232704\pi\)
\(570\) 1.17462e6 5.14634e6i 0.151429 0.663455i
\(571\) 2.03276e6 2.54900e6i 0.260913 0.327175i −0.634069 0.773276i \(-0.718617\pi\)
0.894982 + 0.446102i \(0.147188\pi\)
\(572\) 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 0.561166 0.827703i \(-0.310353\pi\)
−0.931822 + 0.362915i \(0.881781\pi\)
\(578\) −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 0.947233 0.320545i \(-0.103866\pi\)
−0.992507 + 0.122188i \(0.961009\pi\)
\(588\) −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 −0.976956 0.213442i \(-0.931533\pi\)
0.972816 + 0.231580i \(0.0743896\pi\)
\(594\) 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 0.997876 0.0651422i \(-0.0207501\pi\)
−0.285557 + 0.958362i \(0.592179\pi\)
\(600\) 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 0.125820 0.992053i \(-0.459844\pi\)
−0.697171 + 0.716905i \(0.745558\pi\)
\(608\) −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 −0.999891 0.0147935i \(-0.995291\pi\)
0.907289 + 0.420508i \(0.138148\pi\)
\(614\) 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 −0.980335 0.197340i \(-0.936770\pi\)
0.797629 0.603148i \(-0.206087\pi\)
\(618\) −2.47466e6 + 1.19173e6i −0.260642 + 0.125518i
\(619\) 9.36871e6 4.51173e6i 0.982773 0.473279i 0.127715 0.991811i \(-0.459236\pi\)
0.855058 + 0.518532i \(0.173521\pi\)
\(620\) 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 −0.708998 0.705210i \(-0.750853\pi\)
0.845296 + 0.534298i \(0.179424\pi\)
\(632\) −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 0.988724 + 0.149748i \(0.0478463\pi\)
−0.825836 + 0.563910i \(0.809297\pi\)
\(642\) 3.41618e6 + 4.28375e6i 0.327117 + 0.410192i
\(643\) −1.10499e7 + 1.38561e7i −1.05397 + 1.32164i −0.109163 + 0.994024i \(0.534817\pi\)
−0.944811 + 0.327617i \(0.893754\pi\)
\(644\) −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 −0.979668 0.200624i \(-0.935703\pi\)
0.413591 + 0.910463i \(0.364274\pi\)
\(648\) 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 0.809848 0.586640i \(-0.199550\pi\)
0.0462779 + 0.998929i \(0.485264\pi\)
\(654\) 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 −0.962947 0.269690i \(-0.913079\pi\)
0.477204 + 0.878793i \(0.341650\pi\)
\(660\) 859861. + 3.76730e6i 0.0768367 + 0.336644i
\(661\) −1.73295e7 + 8.34546e6i −1.54271 + 0.742928i −0.995562 0.0941106i \(-0.969999\pi\)
−0.547144 + 0.837039i \(0.684285\pi\)
\(662\) 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 −0.890484 0.455015i \(-0.849634\pi\)
0.604875 0.796321i \(-0.293223\pi\)
\(674\) 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 −0.844043 0.536275i \(-0.819831\pi\)
0.993138 0.116951i \(-0.0373120\pi\)
\(678\) −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 0.0873213 0.996180i \(-0.472169\pi\)
−0.724401 + 0.689379i \(0.757884\pi\)
\(684\) −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 0.362553 0.931963i \(-0.381905\pi\)
−0.989273 + 0.146082i \(0.953334\pi\)
\(692\) 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 0.880487 0.474070i \(-0.157216\pi\)
0.178331 + 0.983970i \(0.442930\pi\)
\(702\) 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 0.631867 0.775077i \(-0.282289\pi\)
−0.896248 + 0.443554i \(0.853718\pi\)
\(710\) 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 −0.932645 0.360795i \(-0.882505\pi\)
0.559282 + 0.828978i \(0.311077\pi\)
\(720\) −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 0.790263 + 0.612768i \(0.209944\pi\)
−0.446133 + 0.894967i \(0.647199\pi\)
\(728\) −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 −0.186203 + 0.982511i \(0.559618\pi\)
−0.916444 + 0.400164i \(0.868953\pi\)
\(734\) −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 0.595339 0.803475i \(-0.297018\pi\)
−0.256994 + 0.966413i \(0.582732\pi\)
\(740\) −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 −0.389776 0.920910i \(-0.627447\pi\)
0.984554 + 0.175081i \(0.0560189\pi\)
\(744\) 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 −0.907288 0.420510i \(-0.861851\pi\)
0.999891 + 0.0147908i \(0.00470824\pi\)
\(752\) 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 −0.749009 0.662560i \(-0.769470\pi\)
0.0510110 + 0.998698i \(0.483756\pi\)
\(758\) −1.07653e6 + 518429.i −0.0680538 + 0.0327730i
\(759\) −2.25591e6 9.88381e6i −0.142141 0.622759i
\(760\) −3.16337e6 +