Properties

Label 43.6.e.a.4.16
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 4.16
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.16

$q$-expansion

\(f(q)\) \(=\) \(q+(5.75093 - 7.21143i) q^{2} +(8.62525 + 10.8157i) q^{3} +(-11.8110 - 51.7472i) q^{4} +(90.5645 + 43.6136i) q^{5} +127.600 q^{6} -71.2640 q^{7} +(-175.165 - 84.3549i) q^{8} +(11.4876 - 50.3307i) q^{9} +O(q^{10})\) \(q+(5.75093 - 7.21143i) q^{2} +(8.62525 + 10.8157i) q^{3} +(-11.8110 - 51.7472i) q^{4} +(90.5645 + 43.6136i) q^{5} +127.600 q^{6} -71.2640 q^{7} +(-175.165 - 84.3549i) q^{8} +(11.4876 - 50.3307i) q^{9} +(835.346 - 402.282i) q^{10} +(-24.3267 + 106.582i) q^{11} +(457.811 - 574.077i) q^{12} +(-693.245 - 333.849i) q^{13} +(-409.834 + 513.916i) q^{14} +(309.429 + 1355.70i) q^{15} +(-85.3890 + 41.1212i) q^{16} +(-1309.02 + 630.389i) q^{17} +(-296.892 - 372.290i) q^{18} +(-314.177 - 1376.50i) q^{19} +(1187.23 - 5201.58i) q^{20} +(-614.670 - 770.772i) q^{21} +(628.711 + 788.378i) q^{22} +(-236.868 + 1037.79i) q^{23} +(-598.481 - 2622.12i) q^{24} +(4351.38 + 5456.46i) q^{25} +(-6394.34 + 3079.35i) q^{26} +(3672.16 - 1768.42i) q^{27} +(841.696 + 3687.71i) q^{28} +(-2658.34 + 3333.45i) q^{29} +(11556.0 + 5565.10i) q^{30} +(-7.83439 + 9.82402i) q^{31} +(1189.86 - 5213.14i) q^{32} +(-1362.59 + 656.189i) q^{33} +(-2982.05 + 13065.2i) q^{34} +(-6453.99 - 3108.08i) q^{35} -2740.15 q^{36} +11255.0 q^{37} +(-11733.4 - 5650.49i) q^{38} +(-2368.59 - 10377.5i) q^{39} +(-12184.7 - 15279.1i) q^{40} +(-12554.0 + 15742.2i) q^{41} -9093.29 q^{42} +(-5506.17 - 10802.3i) q^{43} +5802.66 q^{44} +(3235.47 - 4057.16i) q^{45} +(6121.72 + 7676.40i) q^{46} +(2118.49 + 9281.71i) q^{47} +(-1181.26 - 568.864i) q^{48} -11728.4 q^{49} +64373.4 q^{50} +(-18108.7 - 8720.70i) q^{51} +(-9087.87 + 39816.6i) q^{52} +(-2903.84 + 1398.42i) q^{53} +(8365.49 - 36651.6i) q^{54} +(-6851.58 + 8591.61i) q^{55} +(12482.9 + 6011.47i) q^{56} +(12178.0 - 15270.7i) q^{57} +(8751.05 + 38340.9i) q^{58} +(38521.6 - 18551.0i) q^{59} +(66498.9 - 32024.2i) q^{60} +(-22293.0 - 27954.5i) q^{61} +(25.7902 + 112.994i) q^{62} +(-818.656 + 3586.76i) q^{63} +(-32642.3 - 40932.1i) q^{64} +(-48223.1 - 60469.8i) q^{65} +(-3104.09 + 13599.9i) q^{66} +(-9931.60 - 43513.2i) q^{67} +(48081.6 + 60292.4i) q^{68} +(-13267.5 + 6389.28i) q^{69} +(-59530.1 + 28668.2i) q^{70} +(5058.02 + 22160.6i) q^{71} +(-6257.87 + 7847.12i) q^{72} +(49822.5 + 23993.3i) q^{73} +(64726.5 - 81164.5i) q^{74} +(-21483.8 + 94126.7i) q^{75} +(-67519.3 + 32515.6i) q^{76} +(1733.62 - 7595.49i) q^{77} +(-88458.2 - 42599.2i) q^{78} +45351.3 q^{79} -9526.66 q^{80} +(39497.6 + 19021.0i) q^{81} +(41326.8 + 181065. i) q^{82} +(-10826.5 - 13576.1i) q^{83} +(-32625.4 + 40911.0i) q^{84} -146044. q^{85} +(-109566. - 22416.1i) q^{86} -58982.5 q^{87} +(13251.9 - 16617.4i) q^{88} +(-10250.4 - 12853.6i) q^{89} +(-10650.9 - 46664.8i) q^{90} +(49403.4 + 23791.4i) q^{91} +56500.2 q^{92} -173.828 q^{93} +(79117.8 + 38101.1i) q^{94} +(31580.8 - 138365. i) q^{95} +(66646.8 - 32095.4i) q^{96} +(3767.98 - 16508.6i) q^{97} +(-67449.4 + 84578.9i) q^{98} +(5084.91 + 2448.76i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.75093 7.21143i 1.01663 1.27481i 0.0555755 0.998454i \(-0.482301\pi\)
0.961054 0.276359i \(-0.0891279\pi\)
\(3\) 8.62525 + 10.8157i 0.553310 + 0.693829i 0.977305 0.211835i \(-0.0679440\pi\)
−0.423995 + 0.905665i \(0.639373\pi\)
\(4\) −11.8110 51.7472i −0.369092 1.61710i
\(5\) 90.5645 + 43.6136i 1.62007 + 0.780183i 0.999991 0.00435811i \(-0.00138723\pi\)
0.620077 + 0.784541i \(0.287102\pi\)
\(6\) 127.600 1.44701
\(7\) −71.2640 −0.549699 −0.274850 0.961487i \(-0.588628\pi\)
−0.274850 + 0.961487i \(0.588628\pi\)
\(8\) −175.165 84.3549i −0.967658 0.465999i
\(9\) 11.4876 50.3307i 0.0472743 0.207122i
\(10\) 835.346 402.282i 2.64160 1.27213i
\(11\) −24.3267 + 106.582i −0.0606181 + 0.265585i −0.996151 0.0876545i \(-0.972063\pi\)
0.935533 + 0.353240i \(0.114920\pi\)
\(12\) 457.811 574.077i 0.917768 1.15084i
\(13\) −693.245 333.849i −1.13770 0.547888i −0.232385 0.972624i \(-0.574653\pi\)
−0.905317 + 0.424736i \(0.860367\pi\)
\(14\) −409.834 + 513.916i −0.558840 + 0.700764i
\(15\) 309.429 + 1355.70i 0.355086 + 1.55573i
\(16\) −85.3890 + 41.1212i −0.0833877 + 0.0401574i
\(17\) −1309.02 + 630.389i −1.09856 + 0.529037i −0.893204 0.449651i \(-0.851548\pi\)
−0.205353 + 0.978688i \(0.565834\pi\)
\(18\) −296.892 372.290i −0.215982 0.270832i
\(19\) −314.177 1376.50i −0.199660 0.874768i −0.971139 0.238513i \(-0.923340\pi\)
0.771479 0.636254i \(-0.219517\pi\)
\(20\) 1187.23 5201.58i 0.663679 2.90777i
\(21\) −614.670 770.772i −0.304154 0.381397i
\(22\) 628.711 + 788.378i 0.276945 + 0.347279i
\(23\) −236.868 + 1037.79i −0.0933656 + 0.409062i −0.999915 0.0130382i \(-0.995850\pi\)
0.906549 + 0.422100i \(0.138707\pi\)
\(24\) −598.481 2622.12i −0.212091 0.929232i
\(25\) 4351.38 + 5456.46i 1.39244 + 1.74607i
\(26\) −6394.34 + 3079.35i −1.85508 + 0.893358i
\(27\) 3672.16 1768.42i 0.969421 0.466849i
\(28\) 841.696 + 3687.71i 0.202890 + 0.888918i
\(29\) −2658.34 + 3333.45i −0.586969 + 0.736036i −0.983284 0.182079i \(-0.941717\pi\)
0.396315 + 0.918115i \(0.370289\pi\)
\(30\) 11556.0 + 5565.10i 2.34426 + 1.12894i
\(31\) −7.83439 + 9.82402i −0.00146420 + 0.00183605i −0.782563 0.622571i \(-0.786088\pi\)
0.781099 + 0.624407i \(0.214659\pi\)
\(32\) 1189.86 5213.14i 0.205410 0.899962i
\(33\) −1362.59 + 656.189i −0.217811 + 0.104892i
\(34\) −2982.05 + 13065.2i −0.442402 + 1.93829i
\(35\) −6453.99 3108.08i −0.890549 0.428866i
\(36\) −2740.15 −0.352386
\(37\) 11255.0 1.35157 0.675787 0.737097i \(-0.263804\pi\)
0.675787 + 0.737097i \(0.263804\pi\)
\(38\) −11733.4 5650.49i −1.31815 0.634786i
\(39\) −2368.59 10377.5i −0.249361 1.09252i
\(40\) −12184.7 15279.1i −1.20411 1.50990i
\(41\) −12554.0 + 15742.2i −1.16633 + 1.46253i −0.306563 + 0.951850i \(0.599179\pi\)
−0.859769 + 0.510683i \(0.829392\pi\)
\(42\) −9093.29 −0.795423
\(43\) −5506.17 10802.3i −0.454128 0.890936i
\(44\) 5802.66 0.451851
\(45\) 3235.47 4057.16i 0.238181 0.298669i
\(46\) 6121.72 + 7676.40i 0.426559 + 0.534888i
\(47\) 2118.49 + 9281.71i 0.139888 + 0.612891i 0.995458 + 0.0952032i \(0.0303501\pi\)
−0.855569 + 0.517688i \(0.826793\pi\)
\(48\) −1181.26 568.864i −0.0740017 0.0356373i
\(49\) −11728.4 −0.697831
\(50\) 64373.4 3.64151
\(51\) −18108.7 8720.70i −0.974905 0.469489i
\(52\) −9087.87 + 39816.6i −0.466073 + 2.04200i
\(53\) −2903.84 + 1398.42i −0.141998 + 0.0683828i −0.503534 0.863976i \(-0.667967\pi\)
0.361535 + 0.932358i \(0.382253\pi\)
\(54\) 8365.49 36651.6i 0.390398 1.71044i
\(55\) −6851.58 + 8591.61i −0.305410 + 0.382973i
\(56\) 12482.9 + 6011.47i 0.531921 + 0.256159i
\(57\) 12178.0 15270.7i 0.496465 0.622548i
\(58\) 8751.05 + 38340.9i 0.341578 + 1.49655i
\(59\) 38521.6 18551.0i 1.44070 0.693805i 0.459748 0.888049i \(-0.347940\pi\)
0.980953 + 0.194244i \(0.0622253\pi\)
\(60\) 66498.9 32024.2i 2.38472 1.14842i
\(61\) −22293.0 27954.5i −0.767085 0.961894i 0.232859 0.972511i \(-0.425192\pi\)
−0.999944 + 0.0106167i \(0.996621\pi\)
\(62\) 25.7902 + 112.994i 0.000852072 + 0.00373317i
\(63\) −818.656 + 3586.76i −0.0259866 + 0.113855i
\(64\) −32642.3 40932.1i −0.996164 1.24915i
\(65\) −48223.1 60469.8i −1.41570 1.77523i
\(66\) −3104.09 + 13599.9i −0.0877153 + 0.384306i
\(67\) −9931.60 43513.2i −0.270291 1.18422i −0.909670 0.415332i \(-0.863665\pi\)
0.639379 0.768892i \(-0.279192\pi\)
\(68\) 48081.6 + 60292.4i 1.26098 + 1.58121i
\(69\) −13267.5 + 6389.28i −0.335479 + 0.161558i
\(70\) −59530.1 + 28668.2i −1.45208 + 0.699286i
\(71\) 5058.02 + 22160.6i 0.119079 + 0.521719i 0.998921 + 0.0464517i \(0.0147914\pi\)
−0.879842 + 0.475267i \(0.842351\pi\)
\(72\) −6257.87 + 7847.12i −0.142264 + 0.178394i
\(73\) 49822.5 + 23993.3i 1.09425 + 0.526965i 0.891848 0.452336i \(-0.149409\pi\)
0.202407 + 0.979301i \(0.435124\pi\)
\(74\) 64726.5 81164.5i 1.37405 1.72301i
\(75\) −21483.8 + 94126.7i −0.441020 + 1.93223i
\(76\) −67519.3 + 32515.6i −1.34089 + 0.645740i
\(77\) 1733.62 7595.49i 0.0333217 0.145992i
\(78\) −88458.2 42599.2i −1.64627 0.792803i
\(79\) 45351.3 0.817564 0.408782 0.912632i \(-0.365954\pi\)
0.408782 + 0.912632i \(0.365954\pi\)
\(80\) −9526.66 −0.166424
\(81\) 39497.6 + 19021.0i 0.668895 + 0.322123i
\(82\) 41326.8 + 181065.i 0.678730 + 2.97371i
\(83\) −10826.5 13576.1i −0.172502 0.216311i 0.688063 0.725651i \(-0.258461\pi\)
−0.860566 + 0.509340i \(0.829890\pi\)
\(84\) −32625.4 + 40911.0i −0.504496 + 0.632618i
\(85\) −146044. −2.19248
\(86\) −109566. 22416.1i −1.59746 0.326823i
\(87\) −58982.5 −0.835459
\(88\) 13251.9 16617.4i 0.182420 0.228748i
\(89\) −10250.4 12853.6i −0.137172 0.172008i 0.708501 0.705710i \(-0.249372\pi\)
−0.845673 + 0.533702i \(0.820800\pi\)
\(90\) −10650.9 46664.8i −0.138606 0.607272i
\(91\) 49403.4 + 23791.4i 0.625394 + 0.301174i
\(92\) 56500.2 0.695954
\(93\) −173.828 −0.00208406
\(94\) 79117.8 + 38101.1i 0.923537 + 0.444752i
\(95\) 31580.8 138365.i 0.359016 1.57295i
\(96\) 66646.8 32095.4i 0.738076 0.355439i
\(97\) 3767.98 16508.6i 0.0406611 0.178148i −0.950520 0.310664i \(-0.899449\pi\)
0.991181 + 0.132516i \(0.0423056\pi\)
\(98\) −67449.4 + 84578.9i −0.709436 + 0.889604i
\(99\) 5084.91 + 2448.76i 0.0521429 + 0.0251107i
\(100\) 230962. 289618.i 2.30962 2.89618i
\(101\) 36315.6 + 159109.i 0.354233 + 1.55200i 0.767295 + 0.641295i \(0.221602\pi\)
−0.413061 + 0.910703i \(0.635540\pi\)
\(102\) −167031. + 80437.7i −1.58963 + 0.765525i
\(103\) −63667.5 + 30660.6i −0.591323 + 0.284766i −0.705518 0.708692i \(-0.749285\pi\)
0.114195 + 0.993458i \(0.463571\pi\)
\(104\) 93270.3 + 116957.i 0.845590 + 1.06034i
\(105\) −22051.2 96612.5i −0.195190 0.855185i
\(106\) −6615.20 + 28983.1i −0.0571845 + 0.250542i
\(107\) 145589. + 182563.i 1.22934 + 1.54154i 0.745723 + 0.666256i \(0.232104\pi\)
0.483612 + 0.875282i \(0.339324\pi\)
\(108\) −134883. 169137.i −1.11275 1.39534i
\(109\) 31493.6 137983.i 0.253897 1.11239i −0.673758 0.738953i \(-0.735321\pi\)
0.927654 0.373441i \(-0.121822\pi\)
\(110\) 22554.9 + 98819.4i 0.177729 + 0.778683i
\(111\) 97077.0 + 121731.i 0.747840 + 0.937762i
\(112\) 6085.16 2930.46i 0.0458382 0.0220745i
\(113\) 59227.4 28522.4i 0.436341 0.210131i −0.202800 0.979220i \(-0.565004\pi\)
0.639141 + 0.769089i \(0.279290\pi\)
\(114\) −40089.1 175642.i −0.288911 1.26580i
\(115\) −66713.4 + 83656.0i −0.470402 + 0.589865i
\(116\) 203894. + 98190.2i 1.40689 + 0.677522i
\(117\) −24766.6 + 31056.4i −0.167264 + 0.209742i
\(118\) 87755.4 384481.i 0.580188 2.54197i
\(119\) 93285.7 44924.0i 0.603876 0.290811i
\(120\) 60158.7 263573.i 0.381369 1.67089i
\(121\) 134334. + 64691.8i 0.834108 + 0.401685i
\(122\) −329797. −2.00608
\(123\) −278545. −1.66009
\(124\) 600.897 + 289.377i 0.00350950 + 0.00169009i
\(125\) 86206.3 + 377694.i 0.493474 + 2.16205i
\(126\) 21157.7 + 26530.9i 0.118725 + 0.148876i
\(127\) 166654. 208978.i 0.916869 1.14972i −0.0714695 0.997443i \(-0.522769\pi\)
0.988338 0.152274i \(-0.0486597\pi\)
\(128\) −311792. −1.68206
\(129\) 69343.0 152726.i 0.366884 0.808052i
\(130\) −713401. −3.70233
\(131\) 55293.3 69335.6i 0.281510 0.353003i −0.620893 0.783895i \(-0.713230\pi\)
0.902403 + 0.430893i \(0.141801\pi\)
\(132\) 50049.4 + 62760.0i 0.250014 + 0.313508i
\(133\) 22389.5 + 98095.0i 0.109753 + 0.480859i
\(134\) −370908. 178620.i −1.78445 0.859346i
\(135\) 409695. 1.93476
\(136\) 282470. 1.30956
\(137\) 102797. + 49504.2i 0.467926 + 0.225341i 0.652962 0.757390i \(-0.273526\pi\)
−0.185036 + 0.982732i \(0.559240\pi\)
\(138\) −30224.4 + 132422.i −0.135101 + 0.591918i
\(139\) 39157.6 18857.3i 0.171901 0.0827833i −0.345954 0.938251i \(-0.612445\pi\)
0.517856 + 0.855468i \(0.326730\pi\)
\(140\) −84606.4 + 370685.i −0.364824 + 1.59840i
\(141\) −82116.0 + 102970.i −0.347840 + 0.436178i
\(142\) 188898. + 90968.6i 0.786153 + 0.378591i
\(143\) 52446.9 65766.3i 0.214476 0.268945i
\(144\) 1088.74 + 4770.07i 0.00437539 + 0.0191699i
\(145\) −386135. + 185953.i −1.52517 + 0.734484i
\(146\) 459551. 221308.i 1.78423 0.859242i
\(147\) −101161. 126852.i −0.386117 0.484176i
\(148\) −132932. 582413.i −0.498856 2.18563i
\(149\) 8009.14 35090.3i 0.0295543 0.129486i −0.957999 0.286773i \(-0.907418\pi\)
0.987553 + 0.157287i \(0.0502747\pi\)
\(150\) 555237. + 696245.i 2.01488 + 2.52658i
\(151\) −165745. 207837.i −0.591557 0.741790i 0.392478 0.919761i \(-0.371618\pi\)
−0.984036 + 0.177972i \(0.943046\pi\)
\(152\) −61081.8 + 267617.i −0.214439 + 0.939517i
\(153\) 16690.4 + 73125.4i 0.0576418 + 0.252545i
\(154\) −44804.4 56183.0i −0.152237 0.190899i
\(155\) −1137.98 + 548.022i −0.00380456 + 0.00183218i
\(156\) −509030. + 245136.i −1.67468 + 0.806484i
\(157\) 19092.0 + 83647.4i 0.0618161 + 0.270834i 0.996385 0.0849469i \(-0.0270721\pi\)
−0.934569 + 0.355781i \(0.884215\pi\)
\(158\) 260812. 327048.i 0.831160 1.04224i
\(159\) −40171.3 19345.5i −0.126015 0.0606857i
\(160\) 335123. 420231.i 1.03491 1.29774i
\(161\) 16880.2 73956.8i 0.0513230 0.224861i
\(162\) 364316. 175446.i 1.09066 0.525236i
\(163\) 63509.5 278253.i 0.187228 0.820297i −0.790842 0.612020i \(-0.790357\pi\)
0.978070 0.208277i \(-0.0667857\pi\)
\(164\) 962889. + 463703.i 2.79555 + 1.34626i
\(165\) −152021. −0.434704
\(166\) −160165. −0.451127
\(167\) −426395. 205341.i −1.18310 0.569751i −0.264287 0.964444i \(-0.585137\pi\)
−0.918813 + 0.394693i \(0.870851\pi\)
\(168\) 42650.1 + 186862.i 0.116586 + 0.510798i
\(169\) 137636. + 172590.i 0.370694 + 0.464836i
\(170\) −839888. + 1.05319e6i −2.22894 + 2.79501i
\(171\) −72889.4 −0.190622
\(172\) −493957. + 412515.i −1.27312 + 1.06321i
\(173\) −286446. −0.727659 −0.363830 0.931466i \(-0.618531\pi\)
−0.363830 + 0.931466i \(0.618531\pi\)
\(174\) −339204. + 425349.i −0.849353 + 1.06505i
\(175\) −310097. 388849.i −0.765424 0.959811i
\(176\) −2305.56 10101.3i −0.00561041 0.0245808i
\(177\) 532901. + 256632.i 1.27854 + 0.615711i
\(178\) −151642. −0.358732
\(179\) −759797. −1.77241 −0.886207 0.463289i \(-0.846669\pi\)
−0.886207 + 0.463289i \(0.846669\pi\)
\(180\) −248160. 119508.i −0.570888 0.274925i
\(181\) −69516.1 + 304570.i −0.157721 + 0.691020i 0.832790 + 0.553588i \(0.186742\pi\)
−0.990511 + 0.137432i \(0.956115\pi\)
\(182\) 455686. 219447.i 1.01973 0.491078i
\(183\) 110066. 482229.i 0.242954 1.06445i
\(184\) 129033. 161803.i 0.280968 0.352323i
\(185\) 1.01930e6 + 490869.i 2.18964 + 1.05448i
\(186\) −999.670 + 1253.55i −0.00211872 + 0.00265679i
\(187\) −35344.3 154853.i −0.0739120 0.323830i
\(188\) 455281. 219252.i 0.939474 0.452427i
\(189\) −261693. + 126025.i −0.532890 + 0.256626i
\(190\) −816188. 1.02347e6i −1.64024 2.05679i
\(191\) 31344.4 + 137329.i 0.0621695 + 0.272382i 0.996453 0.0841480i \(-0.0268168\pi\)
−0.934284 + 0.356530i \(0.883960\pi\)
\(192\) 161163. 706100.i 0.315509 1.38233i
\(193\) 52654.0 + 66026.0i 0.101751 + 0.127592i 0.830100 0.557615i \(-0.188283\pi\)
−0.728349 + 0.685206i \(0.759712\pi\)
\(194\) −97381.4 122112.i −0.185768 0.232946i
\(195\) 238089. 1.04313e6i 0.448386 1.96451i
\(196\) 138524. + 606914.i 0.257564 + 1.12846i
\(197\) −2024.24 2538.32i −0.00371618 0.00465994i 0.779970 0.625817i \(-0.215234\pi\)
−0.783686 + 0.621157i \(0.786663\pi\)
\(198\) 46902.0 22586.8i 0.0850215 0.0409442i
\(199\) 209971. 101117.i 0.375860 0.181005i −0.236410 0.971653i \(-0.575971\pi\)
0.612270 + 0.790649i \(0.290257\pi\)
\(200\) −301930. 1.32284e6i −0.533741 2.33847i
\(201\) 384964. 482730.i 0.672094 0.842779i
\(202\) 1.35625e6 + 653137.i 2.33863 + 1.12623i
\(203\) 189444. 237555.i 0.322656 0.404598i
\(204\) −237390. + 1.04007e6i −0.399381 + 1.74980i
\(205\) −1.82352e6 + 878161.i −3.03058 + 1.45945i
\(206\) −145040. + 635461.i −0.238133 + 1.04333i
\(207\) 49511.5 + 23843.5i 0.0803119 + 0.0386762i
\(208\) 72923.8 0.116872
\(209\) 154354. 0.244428
\(210\) −823530. 396591.i −1.28864 0.620575i
\(211\) 444.784 + 1948.72i 0.000687769 + 0.00301331i 0.975271 0.221014i \(-0.0709367\pi\)
−0.974583 + 0.224027i \(0.928080\pi\)
\(212\) 106661. + 133749.i 0.162992 + 0.204386i
\(213\) −196057. + 245847.i −0.296096 + 0.371293i
\(214\) 2.15382e6 3.21495
\(215\) −27535.2 1.21845e6i −0.0406249 1.79768i
\(216\) −792409. −1.15562
\(217\) 558.310 700.099i 0.000804871 0.00100928i
\(218\) −813935. 1.02064e6i −1.15998 1.45456i
\(219\) 170227. + 745815.i 0.239839 + 1.05080i
\(220\) 525515. + 253075.i 0.732029 + 0.352527i
\(221\) 1.11792e6 1.53968
\(222\) 1.43614e6 1.95575
\(223\) 592706. + 285432.i 0.798137 + 0.384362i 0.788069 0.615587i \(-0.211081\pi\)
0.0100678 + 0.999949i \(0.496795\pi\)
\(224\) −84794.5 + 371509.i −0.112914 + 0.494708i
\(225\) 324614. 156326.i 0.427476 0.205861i
\(226\) 134925. 591145.i 0.175720 0.769879i
\(227\) 354835. 444949.i 0.457048 0.573120i −0.498899 0.866660i \(-0.666262\pi\)
0.955947 + 0.293540i \(0.0948335\pi\)
\(228\) −934051. 449815.i −1.18996 0.573056i
\(229\) −221688. + 277988.i −0.279353 + 0.350297i −0.901637 0.432494i \(-0.857634\pi\)
0.622284 + 0.782792i \(0.286205\pi\)
\(230\) 219616. + 962199.i 0.273744 + 1.19935i
\(231\) 97103.6 46762.6i 0.119731 0.0576593i
\(232\) 746840. 359659.i 0.910977 0.438704i
\(233\) −301163. 377647.i −0.363423 0.455718i 0.566180 0.824282i \(-0.308421\pi\)
−0.929602 + 0.368564i \(0.879849\pi\)
\(234\) 81529.9 + 357206.i 0.0973368 + 0.426460i
\(235\) −212949. + 932989.i −0.251539 + 1.10206i
\(236\) −1.41494e6 1.77428e6i −1.65370 2.07368i
\(237\) 391166. + 490507.i 0.452367 + 0.567250i
\(238\) 212513. 931079.i 0.243188 1.06548i
\(239\) 327973. + 1.43695e6i 0.371402 + 1.62722i 0.722847 + 0.691008i \(0.242833\pi\)
−0.351445 + 0.936208i \(0.614310\pi\)
\(240\) −82169.9 103038.i −0.0920840 0.115470i
\(241\) −1.26562e6 + 609491.i −1.40366 + 0.675966i −0.973900 0.226978i \(-0.927115\pi\)
−0.429758 + 0.902944i \(0.641401\pi\)
\(242\) 1.23907e6 596702.i 1.36005 0.654967i
\(243\) −85438.4 374330.i −0.0928191 0.406667i
\(244\) −1.18327e6 + 1.48377e6i −1.27235 + 1.59548i
\(245\) −1.06218e6 511519.i −1.13053 0.544436i
\(246\) −1.60189e6 + 2.00871e6i −1.68770 + 2.11631i
\(247\) −241742. + 1.05914e6i −0.252121 + 1.10462i
\(248\) 2201.01 1059.95i 0.00227245 0.00109435i
\(249\) 53453.2 234194.i 0.0546356 0.239374i
\(250\) 3.21948e6 + 1.55042e6i 3.25789 + 1.56892i
\(251\) 67870.5 0.0679981 0.0339991 0.999422i \(-0.489176\pi\)
0.0339991 + 0.999422i \(0.489176\pi\)
\(252\) 195274. 0.193706
\(253\) −104848. 50492.0i −0.102981 0.0495931i
\(254\) −548614. 2.40363e6i −0.533559 2.33767i
\(255\) −1.25967e6 1.57957e6i −1.21312 1.52121i
\(256\) −748542. + 938642.i −0.713865 + 0.895159i
\(257\) −1.51114e6 −1.42716 −0.713581 0.700573i \(-0.752928\pi\)
−0.713581 + 0.700573i \(0.752928\pi\)
\(258\) −702588. 1.37838e6i −0.657130 1.28920i
\(259\) −802074. −0.742959
\(260\) −2.55958e6 + 3.20961e6i −2.34820 + 2.94455i
\(261\) 137237. + 172089.i 0.124701 + 0.156370i
\(262\) −182021. 797488.i −0.163821 0.717746i
\(263\) 820526. + 395144.i 0.731481 + 0.352263i 0.762266 0.647263i \(-0.224087\pi\)
−0.0307856 + 0.999526i \(0.509801\pi\)
\(264\) 294031. 0.259647
\(265\) −323975. −0.283398
\(266\) 836166. + 402676.i 0.724584 + 0.348941i
\(267\) 50608.6 221731.i 0.0434457 0.190348i
\(268\) −2.13438e6 + 1.02786e6i −1.81524 + 0.874176i
\(269\) 123934. 542992.i 0.104427 0.457522i −0.895496 0.445070i \(-0.853179\pi\)
0.999922 0.0124528i \(-0.00396395\pi\)
\(270\) 2.35612e6 2.95449e6i 1.96693 2.46645i
\(271\) −1.89310e6 911670.i −1.56585 0.754075i −0.568222 0.822875i \(-0.692369\pi\)
−0.997630 + 0.0688005i \(0.978083\pi\)
\(272\) 85853.3 107657.i 0.0703614 0.0882304i
\(273\) 168795. + 739541.i 0.137074 + 0.600559i
\(274\) 948172. 456615.i 0.762975 0.367430i
\(275\) −687417. + 331043.i −0.548137 + 0.263969i
\(276\) 487329. + 611091.i 0.385078 + 0.482873i
\(277\) 61209.9 + 268178.i 0.0479317 + 0.210002i 0.993223 0.116225i \(-0.0370795\pi\)
−0.945291 + 0.326228i \(0.894222\pi\)
\(278\) 89204.3 390829.i 0.0692267 0.303302i
\(279\) 404.451 + 507.165i 0.000311068 + 0.000390067i
\(280\) 868330. + 1.08885e6i 0.661896 + 0.829991i
\(281\) −47113.2 + 206416.i −0.0355940 + 0.155947i −0.989602 0.143834i \(-0.954057\pi\)
0.954008 + 0.299782i \(0.0969139\pi\)
\(282\) 270320. + 1.18435e6i 0.202421 + 0.886863i
\(283\) 1.24317e6 + 1.55889e6i 0.922710 + 1.15704i 0.987258 + 0.159127i \(0.0508681\pi\)
−0.0645478 + 0.997915i \(0.520561\pi\)
\(284\) 1.08701e6 523477.i 0.799720 0.385125i
\(285\) 1.76891e6 851860.i 1.29001 0.621235i
\(286\) −172651. 756434.i −0.124811 0.546835i
\(287\) 894647. 1.12185e6i 0.641131 0.803953i
\(288\) −248712. 119773.i −0.176691 0.0850901i
\(289\) 430867. 540290.i 0.303458 0.380524i
\(290\) −879647. + 3.85399e6i −0.614205 + 2.69101i
\(291\) 211052. 101638.i 0.146103 0.0703593i
\(292\) 653132. 2.86156e6i 0.448274 1.96402i
\(293\) 1.71458e6 + 825697.i 1.16678 + 0.561891i 0.914032 0.405642i \(-0.132952\pi\)
0.252746 + 0.967533i \(0.418666\pi\)
\(294\) −1.49655e6 −1.00977
\(295\) 4.29776e6 2.87533
\(296\) −1.97147e6 949412.i −1.30786 0.629833i
\(297\) 99150.8 + 434408.i 0.0652236 + 0.285763i
\(298\) −206992. 259559.i −0.135024 0.169315i
\(299\) 510672. 640363.i 0.330342 0.414236i
\(300\) 5.12453e6 3.28739
\(301\) 392392. + 769818.i 0.249634 + 0.489747i
\(302\) −2.45199e6 −1.54704
\(303\) −1.40765e6 + 1.76513e6i −0.880821 + 1.10451i
\(304\) 83430.7 + 104619.i 0.0517776 + 0.0649271i
\(305\) −799756. 3.50396e6i −0.492275 2.15680i
\(306\) 623324. + 300177.i 0.380549 + 0.183263i
\(307\) −253806. −0.153694 −0.0768469 0.997043i \(-0.524485\pi\)
−0.0768469 + 0.997043i \(0.524485\pi\)
\(308\) −413521. −0.248382
\(309\) −880765. 424154.i −0.524764 0.252713i
\(310\) −2592.41 + 11358.1i −0.00153214 + 0.00671276i
\(311\) 191438. 92191.9i 0.112235 0.0540495i −0.376924 0.926244i \(-0.623018\pi\)
0.489159 + 0.872195i \(0.337304\pi\)
\(312\) −460498. + 2.01757e6i −0.267819 + 1.17339i
\(313\) −1.81751e6 + 2.27908e6i −1.04861 + 1.31492i −0.101215 + 0.994865i \(0.532273\pi\)
−0.947399 + 0.320056i \(0.896298\pi\)
\(314\) 713014. + 343370.i 0.408107 + 0.196534i
\(315\) −230573. + 289129.i −0.130928 + 0.164178i
\(316\) −535642. 2.34680e6i −0.301757 1.32208i
\(317\) 1.81423e6 873687.i 1.01401 0.488324i 0.148343 0.988936i \(-0.452606\pi\)
0.865672 + 0.500612i \(0.166892\pi\)
\(318\) −370531. + 178438.i −0.205474 + 0.0989510i
\(319\) −290618. 364424.i −0.159899 0.200507i
\(320\) −1.17104e6 5.13065e6i −0.639286 2.80090i
\(321\) −718810. + 3.14931e6i −0.389360 + 1.70590i
\(322\) −436258. 547051.i −0.234479 0.294027i
\(323\) 1.27899e6 + 1.60381e6i 0.682123 + 0.855355i
\(324\) 517780. 2.26854e6i 0.274020 1.20056i
\(325\) −1.19494e6 5.23537e6i −0.627534 2.74941i
\(326\) −1.64137e6 2.05821e6i −0.855385 1.07262i
\(327\) 1.76402e6 849509.i 0.912295 0.439338i
\(328\) 3.52695e6 1.69849e6i 1.81015 0.871722i
\(329\) −150972. 661452.i −0.0768966 0.336906i
\(330\) −874262. + 1.09629e6i −0.441933 + 0.554167i
\(331\) −1.86070e6 896068.i −0.933485 0.449543i −0.0956186 0.995418i \(-0.530483\pi\)
−0.837866 + 0.545875i \(0.816197\pi\)
\(332\) −574651. + 720589.i −0.286127 + 0.358792i
\(333\) 129293. 566470.i 0.0638947 0.279941i
\(334\) −3.93297e6 + 1.89402e6i −1.92910 + 0.929006i
\(335\) 998314. 4.37390e6i 0.486021 2.12940i
\(336\) 84181.1 + 40539.5i 0.0406787 + 0.0195898i
\(337\) −2.93570e6 −1.40811 −0.704056 0.710144i \(-0.748630\pi\)
−0.704056 + 0.710144i \(0.748630\pi\)
\(338\) 2.03616e6 0.969438
\(339\) 819342. + 394574.i 0.387227 + 0.186479i
\(340\) 1.72492e6 + 7.55736e6i 0.809229 + 3.54546i
\(341\) −856.482 1073.99i −0.000398871 0.000500168i
\(342\) −419182. + 525637.i −0.193793 + 0.243008i
\(343\) 2.03355e6 0.933296
\(344\) 53257.1 + 2.35666e6i 0.0242651 + 1.07374i
\(345\) −1.48022e6 −0.669544
\(346\) −1.64733e6 + 2.06569e6i −0.739760 + 0.927630i
\(347\) −247165. 309935.i −0.110195 0.138181i 0.723675 0.690141i \(-0.242451\pi\)
−0.833870 + 0.551960i \(0.813880\pi\)
\(348\) 696640. + 3.05218e6i 0.308362 + 1.35102i
\(349\) 65130.2 + 31365.1i 0.0286233 + 0.0137842i 0.448141 0.893963i \(-0.352086\pi\)
−0.419517 + 0.907747i \(0.637801\pi\)
\(350\) −4.58750e6 −2.00173
\(351\) −3.13610e6 −1.35869
\(352\) 526683. + 253637.i 0.226565 + 0.109108i
\(353\) −407511. + 1.78542e6i −0.174062 + 0.762613i 0.810237 + 0.586102i \(0.199338\pi\)
−0.984299 + 0.176511i \(0.943519\pi\)
\(354\) 4.91536e6 2.36711e6i 2.08472 1.00395i
\(355\) −508427. + 2.22757e6i −0.214120 + 0.938123i
\(356\) −544070. + 682242.i −0.227525 + 0.285308i
\(357\) 1.29050e6 + 621472.i 0.535904 + 0.258078i
\(358\) −4.36954e6 + 5.47923e6i −1.80189 + 2.25950i
\(359\) 117429. + 514488.i 0.0480881 + 0.210688i 0.993264 0.115874i \(-0.0369669\pi\)
−0.945176 + 0.326562i \(0.894110\pi\)
\(360\) −908982. + 437743.i −0.369657 + 0.178017i
\(361\) 434839. 209407.i 0.175615 0.0845715i
\(362\) 1.79660e6 + 2.25287e6i 0.720578 + 0.903576i
\(363\) 458975. + 2.01090e6i 0.182820 + 0.800985i
\(364\) 647638. 2.83749e6i 0.256200 1.12248i
\(365\) 3.46572e6 + 4.34587e6i 1.36164 + 1.70744i
\(366\) −2.84459e6 3.56700e6i −1.10998 1.39187i
\(367\) 975008. 4.27179e6i 0.377871 1.65556i −0.326104 0.945334i \(-0.605736\pi\)
0.703974 0.710225i \(-0.251407\pi\)
\(368\) −22449.1 98356.0i −0.00864131 0.0378600i
\(369\) 648100. + 812692.i 0.247786 + 0.310713i
\(370\) 9.40180e6 4.52767e6i 3.57032 1.71937i
\(371\) 206939. 99656.8i 0.0780564 0.0375900i
\(372\) 2053.07 + 8995.09i 0.000769212 + 0.00337014i
\(373\) 1.19692e6 1.50089e6i 0.445444 0.558569i −0.507525 0.861637i \(-0.669440\pi\)
0.952969 + 0.303068i \(0.0980110\pi\)
\(374\) −1.31998e6 635668.i −0.487964 0.234991i
\(375\) −3.34149e6 + 4.19009e6i −1.22705 + 1.53867i
\(376\) 411873. 1.80453e6i 0.150243 0.658257i
\(377\) 2.95575e6 1.42341e6i 1.07106 0.515796i
\(378\) −596158. + 2.61194e6i −0.214601 + 0.940229i
\(379\) −1.18822e6 572219.i −0.424913 0.204628i 0.209191 0.977875i \(-0.432917\pi\)
−0.634105 + 0.773247i \(0.718631\pi\)
\(380\) −7.53298e6 −2.67613
\(381\) 3.69768e6 1.30502
\(382\) 1.17060e6 + 563730.i 0.410440 + 0.197657i
\(383\) −229900. 1.00726e6i −0.0800832 0.350867i 0.918972 0.394322i \(-0.129021\pi\)
−0.999055 + 0.0434550i \(0.986163\pi\)
\(384\) −2.68929e6 3.37226e6i −0.930699 1.16706i
\(385\) 488271. 612272.i 0.167884 0.210520i
\(386\) 778952. 0.266098
\(387\) −606942. + 153036.i −0.206001 + 0.0519417i
\(388\) −898778. −0.303091
\(389\) −2.20532e6 + 2.76539e6i −0.738921 + 0.926577i −0.999241 0.0389450i \(-0.987600\pi\)
0.260321 + 0.965522i \(0.416172\pi\)
\(390\) −6.15327e6 7.71595e6i −2.04854 2.56879i
\(391\) −344145. 1.50780e6i −0.113841 0.498772i
\(392\) 2.05441e6 + 989352.i 0.675262 + 0.325189i
\(393\) 1.22683e6 0.400686
\(394\) −29946.2 −0.00971853
\(395\) 4.10722e6 + 1.97793e6i 1.32451 + 0.637850i
\(396\) 66658.9 292052.i 0.0213609 0.0935884i
\(397\) −910423. + 438437.i −0.289913 + 0.139615i −0.573188 0.819424i \(-0.694293\pi\)
0.283275 + 0.959039i \(0.408579\pi\)
\(398\) 478331. 2.09571e6i 0.151363 0.663167i
\(399\) −867853. + 1.08825e6i −0.272907 + 0.342214i
\(400\) −595936. 286988.i −0.186230 0.0896837i
\(401\) −396798. + 497569.i −0.123228 + 0.154523i −0.839618 0.543177i \(-0.817221\pi\)
0.716391 + 0.697699i \(0.245793\pi\)
\(402\) −1.26727e6 5.55229e6i −0.391116 1.71359i
\(403\) 8710.90 4194.95i 0.00267178 0.00128666i
\(404\) 7.80452e6 3.75846e6i 2.37899 1.14566i
\(405\) 2.74750e6 + 3.44526e6i 0.832339 + 1.04372i
\(406\) −623635. 2.73232e6i −0.187765 0.822653i
\(407\) −273797. + 1.19958e6i −0.0819299 + 0.358958i
\(408\) 2.43638e6 + 3.05512e6i 0.724592 + 0.908610i
\(409\) 1.23520e6 + 1.54890e6i 0.365116 + 0.457841i 0.930125 0.367244i \(-0.119699\pi\)
−0.565009 + 0.825085i \(0.691127\pi\)
\(410\) −4.15413e6 + 1.82004e7i −1.22045 + 5.34715i
\(411\) 351222. + 1.53881e6i 0.102560 + 0.449344i
\(412\) 2.33858e6 + 2.93248e6i 0.678748 + 0.851123i
\(413\) −2.74520e6 + 1.32202e6i −0.791952 + 0.381384i
\(414\) 456682. 219927.i 0.130952 0.0630634i
\(415\) −388400. 1.70169e6i −0.110703 0.485021i
\(416\) −2.56527e6 + 3.21675e6i −0.726775 + 0.911347i
\(417\) 541700. + 260869.i 0.152552 + 0.0734653i
\(418\) 887677. 1.11311e6i 0.248493 0.311601i
\(419\) 798226. 3.49726e6i 0.222122 0.973178i −0.733756 0.679413i \(-0.762234\pi\)
0.955878 0.293765i \(-0.0949084\pi\)
\(420\) −4.73898e6 + 2.28217e6i −1.31088 + 0.631285i
\(421\) 800353. 3.50658e6i 0.220078 0.964224i −0.737341 0.675521i \(-0.763919\pi\)
0.957419 0.288703i \(-0.0932241\pi\)
\(422\) 16611.0 + 7999.44i 0.00454062 + 0.00218665i
\(423\) 491491. 0.133556
\(424\) 626614. 0.169272
\(425\) −9.13572e6 4.39953e6i −2.45341 1.18150i
\(426\) 645404. + 2.82770e6i 0.172309 + 0.754935i
\(427\) 1.58869e6 + 1.99215e6i 0.421666 + 0.528752i
\(428\) 7.72759e6 9.69009e6i 2.03908 2.55693i
\(429\) 1.16368e6 0.305274
\(430\) −8.94514e6 6.80866e6i −2.33301 1.77579i
\(431\) −476492. −0.123556 −0.0617778 0.998090i \(-0.519677\pi\)
−0.0617778 + 0.998090i \(0.519677\pi\)
\(432\) −240843. + 302007.i −0.0620904 + 0.0778589i
\(433\) 3.20550e6 + 4.01957e6i 0.821630 + 1.03029i 0.998935 + 0.0461360i \(0.0146908\pi\)
−0.177305 + 0.984156i \(0.556738\pi\)
\(434\) −1837.92 8052.43i −0.000468383 0.00205212i
\(435\) −5.34172e6 2.57244e6i −1.35350 0.651811i
\(436\) −7.51218e6 −1.89256
\(437\) 1.50293e6 0.376475
\(438\) 6.35736e6 + 3.06154e6i 1.58340 + 0.762527i
\(439\) −1.68299e6 + 7.37368e6i −0.416794 + 1.82609i 0.133406 + 0.991061i \(0.457408\pi\)
−0.550200 + 0.835033i \(0.685449\pi\)
\(440\) 1.92490e6 926983.i 0.473998 0.228265i
\(441\) −134732. + 590301.i −0.0329894 + 0.144536i
\(442\) 6.42910e6 8.06184e6i 1.56529 1.96281i
\(443\) −5.07928e6 2.44605e6i −1.22968 0.592183i −0.297690 0.954663i \(-0.596216\pi\)
−0.931992 + 0.362479i \(0.881930\pi\)
\(444\) 5.15265e6 6.46122e6i 1.24043 1.55545i
\(445\) −367731. 1.61113e6i −0.0880299 0.385684i
\(446\) 5.46699e6 2.63276e6i 1.30140 0.626721i
\(447\) 448608. 216038.i 0.106194 0.0511402i
\(448\) 2.32622e6 + 2.91699e6i 0.547590 + 0.686656i
\(449\) −981688. 4.30105e6i −0.229804 1.00684i −0.949800 0.312858i \(-0.898713\pi\)
0.719996 0.693978i \(-0.244144\pi\)
\(450\) 739499. 3.23995e6i 0.172150 0.754237i
\(451\) −1.37244e6 1.72099e6i −0.317726 0.398416i
\(452\) −2.17549e6 2.72797e6i −0.500853 0.628050i
\(453\) 818320. 3.58530e6i 0.187360 0.820880i
\(454\) −1.16809e6 5.11774e6i −0.265973 1.16530i
\(455\) 3.43657e6 + 4.30932e6i 0.778209 + 0.975843i
\(456\) −3.42132e6 + 1.64762e6i −0.770516 + 0.371061i
\(457\) −3.52331e6 + 1.69674e6i −0.789152 + 0.380036i −0.784638 0.619954i \(-0.787151\pi\)
−0.00451407 + 0.999990i \(0.501437\pi\)
\(458\) 729780. + 3.19737e6i 0.162565 + 0.712245i
\(459\) −3.69213e6 + 4.62978e6i −0.817985 + 1.02572i
\(460\) 5.11691e6 + 2.46418e6i 1.12749 + 0.542971i
\(461\) 546100. 684788.i 0.119680 0.150073i −0.718383 0.695648i \(-0.755117\pi\)
0.838062 + 0.545575i \(0.183689\pi\)
\(462\) 221210. 969185.i 0.0482170 0.211252i
\(463\) 2.00049e6 963387.i 0.433695 0.208857i −0.204282 0.978912i \(-0.565486\pi\)
0.637977 + 0.770055i \(0.279772\pi\)
\(464\) 89917.5 393954.i 0.0193887 0.0849475i
\(465\) −15742.6 7581.24i −0.00337632 0.00162595i
\(466\) −4.45534e6 −0.950421
\(467\) −5.53258e6 −1.17391 −0.586955 0.809619i \(-0.699674\pi\)
−0.586955 + 0.809619i \(0.699674\pi\)
\(468\) 1.89960e6 + 914797.i 0.400910 + 0.193068i
\(469\) 707765. + 3.10092e6i 0.148579 + 0.650967i
\(470\) 5.50354e6 + 6.90121e6i 1.14920 + 1.44106i
\(471\) −740034. + 927974.i −0.153709 + 0.192745i
\(472\) −8.31249e6 −1.71742
\(473\) 1.28529e6 324075.i 0.264148 0.0666029i
\(474\) 5.78683e6 1.18303
\(475\) 6.14372e6 7.70398e6i 1.24939 1.56668i
\(476\) −3.42649e6 4.29668e6i −0.693157 0.869191i
\(477\) 37025.0 + 162217.i 0.00745073 + 0.0326438i
\(478\) 1.22486e7 + 5.89861e6i 2.45198 + 1.18081i
\(479\) −1.20040e6 −0.239050 −0.119525 0.992831i \(-0.538137\pi\)
−0.119525 + 0.992831i \(0.538137\pi\)
\(480\) 7.43563e6 1.47304
\(481\) −7.80246e6 3.75746e6i −1.53769 0.740512i
\(482\) −2.88319e6 + 1.26321e7i −0.565270 + 2.47661i
\(483\) 945493. 455325.i 0.184413 0.0888084i
\(484\) 1.76101e6 7.71547e6i 0.341702 1.49709i
\(485\) 1.06125e6 1.33076e6i 0.204862 0.256889i
\(486\) −3.19081e6 1.53661e6i −0.612788 0.295103i
\(487\) 6.07137e6 7.61326e6i 1.16002 1.45462i 0.293157 0.956064i \(-0.405294\pi\)
0.866860 0.498552i \(-0.166135\pi\)
\(488\) 1.54684e6 + 6.77717e6i 0.294034 + 1.28825i
\(489\) 3.55730e6 1.71310e6i 0.672741 0.323975i
\(490\) −9.79731e6 + 4.71814e6i −1.84339 + 0.887729i
\(491\) 4.75467e6 + 5.96217e6i 0.890055 + 1.11609i 0.992608 + 0.121366i \(0.0387275\pi\)
−0.102553 + 0.994728i \(0.532701\pi\)
\(492\) 3.28988e6 + 1.44139e7i 0.612727 + 2.68453i
\(493\) 1.37844e6 6.03933e6i 0.255429 1.11911i
\(494\) 6.24769e6 + 7.83435e6i 1.15187 + 1.44439i
\(495\) 353713. + 443542.i 0.0648840 + 0.0813620i
\(496\) 264.996 1161.02i 4.83654e−5 0.000211903i
\(497\) −360455. 1.57926e6i −0.0654575 0.286788i
\(498\) −1.38147e6 1.73231e6i −0.249613 0.313005i
\(499\) −2.72911e6 + 1.31427e6i −0.490648 + 0.236284i −0.662814 0.748784i \(-0.730638\pi\)
0.172166 + 0.985068i \(0.444924\pi\)
\(500\) 1.85264e7 8.92186e6i 3.31411 1.59599i
\(501\) −1.45685e6 6.38290e6i −0.259312 1.13612i
\(502\) 390318. 489444.i 0.0691289 0.0866849i
\(503\) −4.89357e6 2.35662e6i −0.862394 0.415307i −0.0502311 0.998738i \(-0.515996\pi\)
−0.812163 + 0.583430i \(0.801710\pi\)
\(504\) 445961. 559217.i 0.0782024 0.0980628i
\(505\) −3.65041e6 + 1.59935e7i −0.636961 + 2.79071i
\(506\) −967090. + 465726.i −0.167916 + 0.0808638i
\(507\) −679543. + 2.97727e6i −0.117408 + 0.514397i
\(508\) −1.27824e7 6.15566e6i −2.19762 1.05832i
\(509\) 6.00799e6 1.02786 0.513931 0.857832i \(-0.328189\pi\)
0.513931 + 0.857832i \(0.328189\pi\)
\(510\) −1.86352e7 −3.17255
\(511\) −3.55055e6 1.70985e6i −0.601511 0.289672i
\(512\) 243974. + 1.06892e6i 0.0411309 + 0.180206i
\(513\) −3.58794e6 4.49914e6i −0.601939 0.754807i
\(514\) −8.69048e6 + 1.08975e7i −1.45090 + 1.81937i
\(515\) −7.10323e6 −1.18015
\(516\) −8.72216e6 1.78446e6i −1.44211 0.295042i
\(517\) −1.04080e6 −0.171255
\(518\) −4.61267e6 + 5.78410e6i −0.755315 + 0.947135i
\(519\) −2.47067e6 3.09813e6i −0.402621 0.504871i
\(520\) 3.34606e6 + 1.46600e7i 0.542656 + 2.37753i
\(521\) −5.83739e6 2.81114e6i −0.942159 0.453720i −0.101228 0.994863i \(-0.532277\pi\)
−0.840930 + 0.541144i \(0.817992\pi\)
\(522\) 2.03025e6 0.326117
\(523\) −1.13719e6 −0.181793 −0.0908964 0.995860i \(-0.528973\pi\)
−0.0908964 + 0.995860i \(0.528973\pi\)
\(524\) −4.24099e6 2.04235e6i −0.674744 0.324940i
\(525\) 1.53102e6 6.70784e6i 0.242428 1.06215i
\(526\) 7.56834e6 3.64472e6i 1.19271 0.574381i
\(527\) 4062.39 17798.5i 0.000637170 0.00279163i
\(528\) 89367.0 112063.i 0.0139506 0.0174935i
\(529\) 4.77805e6 + 2.30099e6i 0.742355 + 0.357499i
\(530\) −1.86316e6 + 2.33633e6i −0.288111 + 0.361280i
\(531\) −491163. 2.15192e6i −0.0755943 0.331200i
\(532\) 4.81170e6 2.31719e6i 0.737088 0.354963i
\(533\) 1.39585e7 6.72207e6i 2.12824 1.02491i
\(534\) −1.30795e6 1.64012e6i −0.198490 0.248898i
\(535\) 5.22300e6 + 2.28834e7i 0.788924 + 3.45650i
\(536\) −1.93088e6 + 8.45975e6i −0.290298 + 1.27188i
\(537\) −6.55345e6 8.21776e6i −0.980695 1.22975i
\(538\) −3.20301e6 4.01645e6i −0.477093 0.598255i
\(539\) 285315. 1.25005e6i 0.0423012 0.185334i
\(540\) −4.83889e6 2.12005e7i −0.714103 3.12869i
\(541\) −6.95667e6 8.72339e6i −1.02190 1.28142i −0.959001 0.283402i \(-0.908537\pi\)
−0.0628989 0.998020i \(-0.520035\pi\)
\(542\) −1.74615e7 + 8.40904e6i −2.55320 + 1.22955i
\(543\) −3.89374e6 + 1.87513e6i −0.566718 + 0.272917i
\(544\) 1.72875e6 + 7.57416e6i 0.250458 + 1.09733i
\(545\) 8.87012e6 1.11228e7i 1.27920 1.60407i
\(546\) 6.30388e6 + 3.03579e6i 0.904954 + 0.435803i
\(547\) 5.62775e6 7.05698e6i 0.804204 1.00844i −0.195411 0.980721i \(-0.562604\pi\)
0.999616 0.0277191i \(-0.00882439\pi\)
\(548\) 1.34758e6 5.90412e6i 0.191691 0.839854i
\(549\) −1.66306e6 + 800889.i −0.235493 + 0.113407i
\(550\) −1.56599e6 + 6.86107e6i −0.220741 + 0.967130i
\(551\) 5.42369e6 + 2.61191e6i 0.761055 + 0.366505i
\(552\) 2.86296e6 0.399915
\(553\) −3.23191e6 −0.449414
\(554\) 2.28596e6 + 1.10086e6i 0.316443 + 0.152391i
\(555\) 3.48262e6 + 1.52584e7i 0.479925 + 2.10269i
\(556\) −1.43830e6 1.80357e6i −0.197316 0.247427i
\(557\) 1.19348e6 1.49657e6i 0.162996 0.204390i −0.693626 0.720335i \(-0.743988\pi\)
0.856621 + 0.515946i \(0.172559\pi\)
\(558\) 5983.35 0.000813503
\(559\) 210774. + 9.32690e6i 0.0285291 + 1.26243i
\(560\) 678908. 0.0914830
\(561\) 1.37000e6 1.71792e6i 0.183786 0.230461i
\(562\) 1.21761e6 + 1.52684e6i 0.162618 + 0.203917i
\(563\) 686645. + 3.00839e6i 0.0912981 + 0.400003i 0.999842 0.0177868i \(-0.00566201\pi\)
−0.908544 + 0.417790i \(0.862805\pi\)
\(564\) 6.29828e6 + 3.03309e6i 0.833728 + 0.401502i
\(565\) 6.60786e6 0.870843
\(566\) 1.83912e7 2.41307
\(567\) −2.81475e6 1.35551e6i −0.367691 0.177071i
\(568\) 983371. 4.30843e6i 0.127893 0.560336i
\(569\) −9.56458e6 + 4.60606e6i −1.23847 + 0.596415i −0.934397 0.356233i \(-0.884061\pi\)
−0.304072 + 0.952649i \(0.598347\pi\)
\(570\) 4.02972e6 1.76553e7i 0.519502 2.27609i
\(571\) −514864. + 645619.i −0.0660849 + 0.0828679i −0.813775 0.581180i \(-0.802591\pi\)
0.747690 + 0.664048i \(0.231163\pi\)
\(572\) −4.02267e6 1.93721e6i −0.514072 0.247564i
\(573\) −1.21496e6 + 1.52351e6i −0.154588 + 0.193847i
\(574\) −2.94511e6 1.29034e7i −0.373097 1.63465i
\(575\) −6.69335e6 + 3.22335e6i −0.844255 + 0.406572i
\(576\) −2.43513e6 + 1.17269e6i −0.305819 + 0.147275i
\(577\) 768318. + 963440.i 0.0960730 + 0.120472i 0.827544 0.561401i \(-0.189737\pi\)
−0.731471 + 0.681872i \(0.761166\pi\)
\(578\) −1.41838e6 6.21434e6i −0.176593 0.773705i
\(579\) −259965. + 1.13898e6i −0.0322269 + 0.141195i
\(580\) 1.41831e7 + 1.77851e7i 1.75066 + 2.19526i
\(581\) 771543. + 967484.i 0.0948243 + 0.118906i
\(582\) 480795. 2.10650e6i 0.0588373 0.257783i
\(583\) −78405.6 343518.i −0.00955379 0.0418579i
\(584\) −6.70320e6 8.40555e6i −0.813299 1.01984i
\(585\) −3.59745e6 + 1.73244e6i −0.434616 + 0.209300i
\(586\) 1.58149e7 7.61604e6i 1.90249 0.916189i
\(587\) −1.27345e6 5.57937e6i −0.152541 0.668328i −0.992141 0.125123i \(-0.960068\pi\)
0.839600 0.543205i \(-0.182790\pi\)
\(588\) −5.36941e6 + 6.73303e6i −0.640447 + 0.803095i
\(589\) 15984.2 + 7697.57i 0.00189846 + 0.000914251i
\(590\) 2.47161e7 3.09930e7i 2.92315 3.66551i
\(591\) 9994.15 43787.2i 0.00117700 0.00515678i
\(592\) −961051. + 462818.i −0.112705 + 0.0542758i
\(593\) 1.77773e6 7.78873e6i 0.207600 0.909557i −0.758558 0.651606i \(-0.774096\pi\)
0.966158 0.257951i \(-0.0830473\pi\)
\(594\) 3.70291e6 + 1.78323e6i 0.430603 + 0.207368i
\(595\) 1.04077e7 1.20521
\(596\) −1.91042e6 −0.220300
\(597\) 2.90470e6 + 1.39883e6i 0.333554 + 0.160631i
\(598\) −1.68110e6 7.36536e6i −0.192238 0.842250i
\(599\) 3.02910e6 + 3.79838e6i 0.344943 + 0.432545i 0.923795 0.382888i \(-0.125070\pi\)
−0.578852 + 0.815433i \(0.696499\pi\)
\(600\) 1.17033e7 1.46754e7i 1.32718 1.66423i
\(601\) −1.08786e7 −1.22853 −0.614266 0.789099i \(-0.710548\pi\)
−0.614266 + 0.789099i \(0.710548\pi\)
\(602\) 7.80811e6 + 1.59746e6i 0.878121 + 0.179655i
\(603\) −2.30414e6 −0.258057
\(604\) −8.79738e6 + 1.10316e7i −0.981208 + 1.23040i
\(605\) 9.34444e6 + 1.17176e7i 1.03792 + 1.30151i
\(606\) 4.63387e6 + 2.03023e7i 0.512581 + 2.24576i
\(607\) 1.35801e7 + 6.53983e6i 1.49600 + 0.720435i 0.989864 0.142019i \(-0.0453594\pi\)
0.506135 + 0.862454i \(0.331074\pi\)
\(608\) −7.54972e6 −0.828270
\(609\) 4.20333e6 0.459251
\(610\) −2.98679e7 1.43836e7i −3.24998 1.56511i
\(611\) 1.63006e6 7.14176e6i 0.176645 0.773931i
\(612\) 3.58690e6 1.72736e6i 0.387116 0.186425i
\(613\) −748929. + 3.28127e6i −0.0804988 + 0.352688i −0.999096 0.0425063i \(-0.986466\pi\)
0.918597 + 0.395195i \(0.129323\pi\)
\(614\) −1.45962e6 + 1.83031e6i −0.156250 + 0.195931i
\(615\) −2.52263e7 1.21483e7i −2.68946 1.29518i
\(616\) −944386. + 1.18422e6i −0.100276 + 0.125742i
\(617\) −1.66898e6 7.31227e6i −0.176497 0.773285i −0.983230 0.182369i \(-0.941624\pi\)
0.806733 0.590916i \(-0.201234\pi\)
\(618\) −8.12398e6 + 3.91230e6i −0.855653 + 0.412061i
\(619\) −6.19155e6 + 2.98169e6i −0.649490 + 0.312778i −0.729464 0.684019i \(-0.760231\pi\)
0.0799740 + 0.996797i \(0.474516\pi\)
\(620\) 41799.2 + 52414.5i 0.00436705 + 0.00547611i
\(621\) 965426. + 4.22981e6i 0.100459 + 0.440141i
\(622\) 436113. 1.91073e6i 0.0451984 0.198027i
\(623\) 730484. + 915998.i 0.0754033 + 0.0945528i
\(624\) 628987. + 788724.i 0.0646666 + 0.0810893i
\(625\) −3.81228e6 + 1.67027e7i −0.390377 + 1.71035i
\(626\) 5.98310e6 + 2.62137e7i 0.610226 + 2.67357i
\(627\) 1.33134e6 + 1.66945e6i 0.135245 + 0.169591i
\(628\) 4.10302e6 1.97591e6i 0.415150 0.199926i
\(629\) −1.47329e7 + 7.09501e6i −1.48478 + 0.715034i
\(630\) 759028. + 3.32552e6i 0.0761915 + 0.333817i
\(631\) −986966. + 1.23762e6i −0.0986799 + 0.123741i −0.828720 0.559664i \(-0.810930\pi\)
0.730040 + 0.683405i \(0.239502\pi\)
\(632\) −7.94395e6 3.82560e6i −0.791122 0.380984i
\(633\) −17240.5 + 21618.9i −0.00171018 + 0.00214449i
\(634\) 4.13297e6 1.81077e7i 0.408356 1.78912i
\(635\) 2.42072e7 1.16576e7i 2.38238 1.14729i
\(636\) −526612. + 2.30724e6i −0.0516236 + 0.226178i
\(637\) 8.13069e6 + 3.91553e6i 0.793924 + 0.382333i
\(638\) −4.29934e6 −0.418168
\(639\) 1.17346e6 0.113689
\(640\) −2.82373e7 1.35984e7i −2.72504 1.31231i
\(641\) 2.12267e6 + 9.30004e6i 0.204051 + 0.894005i 0.968439 + 0.249249i \(0.0801838\pi\)
−0.764389 + 0.644756i \(0.776959\pi\)
\(642\) 1.85772e7 + 2.32951e7i 1.77887 + 2.23063i
\(643\) −8.37188e6 + 1.04980e7i −0.798538 + 1.00134i 0.201225 + 0.979545i \(0.435508\pi\)
−0.999763 + 0.0217899i \(0.993064\pi\)
\(644\) −4.02643e6 −0.382565
\(645\) 1.29409e7 1.08073e7i 1.22480 1.02286i
\(646\) 1.89212e7 1.78388
\(647\) 4.78800e6 6.00396e6i 0.449670 0.563868i −0.504393 0.863474i \(-0.668284\pi\)
0.954063 + 0.299606i \(0.0968553\pi\)
\(648\) −5.31406e6 6.66362e6i −0.497152 0.623409i
\(649\) 1.04011e6 + 4.55701e6i 0.0969318 + 0.424686i
\(650\) −4.46265e7 2.14910e7i −4.14295 1.99514i
\(651\) 12387.6 0.00114561
\(652\) −1.51489e7 −1.39561
\(653\) −3.68406e6 1.77415e6i −0.338099 0.162820i 0.257129 0.966377i \(-0.417224\pi\)
−0.595227 + 0.803558i \(0.702938\pi\)
\(654\) 4.01859e6 1.76066e7i 0.367392 1.60965i
\(655\) 8.03158e6 3.86781e6i 0.731472 0.352259i
\(656\) 424635. 1.86045e6i 0.0385262 0.168794i
\(657\) 1.77994e6 2.23197e6i 0.160876 0.201732i
\(658\) −5.63825e6 2.71524e6i −0.507667 0.244480i
\(659\) −9.31796e6 + 1.16843e7i −0.835809 + 1.04807i 0.162308 + 0.986740i \(0.448106\pi\)
−0.998117 + 0.0613313i \(0.980465\pi\)
\(660\) 1.79551e6 + 7.86666e6i 0.160446 + 0.702960i
\(661\) 5.20090e6 2.50462e6i 0.462994 0.222966i −0.187820 0.982203i \(-0.560142\pi\)
0.650814 + 0.759237i \(0.274428\pi\)
\(662\) −1.71627e7 + 8.26513e6i −1.52209 + 0.733001i
\(663\) 9.64238e6 + 1.20912e7i 0.851923 + 1.06828i
\(664\) 751222. + 3.29132e6i 0.0661223 + 0.289701i
\(665\) −2.25057e6 + 9.86041e6i −0.197351 + 0.864651i
\(666\) −3.34151e6 4.19012e6i −0.291915 0.366050i
\(667\) −2.82974e6 3.54838e6i −0.246281 0.308827i
\(668\) −5.58969e6 + 2.44900e7i −0.484671 + 2.12348i
\(669\) 2.02508e6 + 8.87248e6i 0.174935 + 0.766442i
\(670\) −2.58009e7 3.23533e7i −2.22048 2.78440i
\(671\) 3.52177e6 1.69600e6i 0.301964 0.145418i
\(672\) −4.74951e6 + 2.28725e6i −0.405720 + 0.195384i
\(673\) −3.00985e6 1.31870e7i −0.256157 1.12230i −0.925321 0.379184i \(-0.876205\pi\)
0.669164 0.743115i \(-0.266652\pi\)
\(674\) −1.68830e7 + 2.11706e7i −1.43153 + 1.79508i
\(675\) 2.56283e7 + 1.23419e7i 2.16501 + 1.04261i
\(676\) 7.30545e6 9.16074e6i 0.614865 0.771017i
\(677\) 1.75408e6 7.68514e6i 0.147089 0.644437i −0.846597 0.532235i \(-0.821352\pi\)
0.993685 0.112202i \(-0.0357904\pi\)
\(678\) 7.55742e6 3.63946e6i 0.631392 0.304063i
\(679\) −268521. + 1.17647e6i −0.0223514 + 0.0979279i
\(680\) 2.55817e7 + 1.23195e7i 2.12157 + 1.02170i
\(681\) 7.87299e6 0.650537
\(682\) −12670.6 −0.00104313
\(683\) −8.89094e6 4.28165e6i −0.729283 0.351204i 0.0321194 0.999484i \(-0.489774\pi\)
−0.761402 + 0.648280i \(0.775489\pi\)
\(684\) 860894. + 3.77182e6i 0.0703573 + 0.308256i
\(685\) 7.15066e6 + 8.96665e6i 0.582264 + 0.730136i
\(686\) 1.16948e7 1.46648e7i 0.948817 1.18978i
\(687\) −4.91875e6 −0.397615
\(688\) 914372. + 695981.i 0.0736464 + 0.0560565i
\(689\) 2.47994e6 0.199018
\(690\) −8.51264e6 + 1.06745e7i −0.680678 + 0.853543i
\(691\) −873270. 1.09505e6i −0.0695750 0.0872443i 0.745826 0.666141i \(-0.232055\pi\)
−0.815401 + 0.578896i \(0.803484\pi\)
\(692\) 3.38321e6 + 1.48228e7i 0.268573 + 1.17670i
\(693\) −362371. 174509.i −0.0286629 0.0138033i
\(694\) −3.65650e6 −0.288182
\(695\) 4.36872e6 0.343078
\(696\) 1.03317e7 + 4.97547e6i 0.808439 + 0.389323i
\(697\) 6.50966e6 2.85207e7i 0.507547 2.22371i
\(698\) 600746. 289304.i 0.0466716 0.0224759i
\(699\) 1.48691e6 6.51460e6i 0.115105 0.504307i
\(700\) −1.64593e7 + 2.06393e7i −1.26960 + 1.59203i
\(701\) 8.76916e6 + 4.22300e6i 0.674005 + 0.324583i 0.739391 0.673277i \(-0.235114\pi\)
−0.0653862 + 0.997860i \(0.520828\pi\)
\(702\) −1.80355e7 + 2.26157e7i −1.38129 + 1.73208i
\(703\) −3.53606e6 1.54925e7i −0.269855 1.18231i
\(704\) 5.15673e6 2.48335e6i 0.392141 0.188845i
\(705\) −1.19277e7 + 5.74407e6i −0.903823 + 0.435258i
\(706\) 1.05319e7 + 1.32066e7i 0.795234 + 0.997192i
\(707\) −2.58799e6 1.13387e7i −0.194722 0.853132i
\(708\) 6.98589e6 3.06072e7i 0.523768 2.29478i
\(709\) 1.85048e6 + 2.32042e6i 0.138251 + 0.173361i 0.846137 0.532966i \(-0.178922\pi\)
−0.707886 + 0.706327i \(0.750351\pi\)
\(710\) 1.31400e7 + 1.64771e7i 0.978250 + 1.22669i
\(711\) 520980. 2.28256e6i 0.0386498 0.169336i
\(712\) 711245. + 3.11617e6i 0.0525798 + 0.230367i
\(713\) −8339.52 10457.4i −0.000614352 0.000770373i
\(714\) 1.19033e7 5.73231e6i 0.873817 0.420808i
\(715\) 7.61813e6 3.66870e6i 0.557292 0.268378i
\(716\) 8.97393e6 + 3.93174e7i 0.654185 + 2.86617i
\(717\) −1.27128e7 + 1.59413e7i −0.923510 + 1.15805i
\(718\) 4.38552e6 + 2.11196e6i 0.317476 + 0.152888i
\(719\) −6.25112e6 + 7.83865e6i −0.450957 + 0.565483i −0.954394 0.298549i \(-0.903497\pi\)
0.503437 + 0.864032i \(0.332069\pi\)
\(720\) −109439. + 479483.i −0.00786757 + 0.0344701i
\(721\) 4.53720e6 2.18500e6i 0.325050 0.156536i
\(722\) 990600. 4.34010e6i 0.0707221 0.309854i
\(723\) −1.75084e7 8.43160e6i −1.24566 0.599880i
\(724\) 1.65817e7 1.17566
\(725\) −2.97563e7 −2.10249
\(726\) 1.71410e7 + 8.25468e6i 1.20697 + 0.581244i
\(727\) −410016. 1.79640e6i −0.0287716 0.126057i 0.958503 0.285084i \(-0.0920214\pi\)
−0.987274 + 0.159027i \(0.949164\pi\)
\(728\) −6.64681e6 8.33484e6i −0.464820 0.582866i
\(729\) 9.95368e6 1.24815e7i 0.693689 0.869859i
\(730\) 5.12711e7 3.56095
\(731\) 1.40173e7 + 1.06694e7i 0.970225 + 0.738494i
\(732\) −2.62540e7 −1.81100
\(733\) 5.81012e6 7.28565e6i 0.399415 0.500851i −0.540932 0.841066i \(-0.681928\pi\)
0.940348 + 0.340215i \(0.110500\pi\)
\(734\) −2.51985e7 3.15980e7i −1.72638 2.16481i
\(735\) −3.62913e6 1.59002e7i −0.247790 1.08564i
\(736\) 5.12829e6 + 2.46965e6i 0.348962 + 0.168051i
\(737\) 4.87934e6 0.330897
\(738\) 9.58785e6 0.648008
\(739\) −8.35031e6 4.02130e6i −0.562460 0.270866i 0.130975 0.991386i \(-0.458189\pi\)
−0.693435 + 0.720519i \(0.743904\pi\)
\(740\) 1.33622e7 5.85436e7i 0.897012 3.93007i
\(741\) −1.35405e7 + 6.52075e6i −0.905916 + 0.436266i
\(742\) 471425. 2.06545e6i 0.0314343 0.137722i
\(743\) −8.80454e6 + 1.10405e7i −0.585106 + 0.733700i −0.982974 0.183743i \(-0.941179\pi\)
0.397868 + 0.917443i \(0.369750\pi\)
\(744\) 30448.5 + 14663.2i 0.00201666 + 0.000971173i
\(745\) 2.25576e6 2.82863e6i 0.148903 0.186718i
\(746\) −3.94017e6 1.72630e7i −0.259220 1.13572i
\(747\) −807663. + 388950.i −0.0529577 + 0.0255031i
\(748\) −7.59578e6 + 3.65793e6i −0.496384 + 0.239046i
\(749\) −1.03753e7 1.30102e7i −0.675765 0.847382i
\(750\) 1.09999e7 + 4.81939e7i 0.714064 + 3.12852i
\(751\) 38431.6 168380.i 0.00248650 0.0108941i −0.973669 0.227964i \(-0.926793\pi\)
0.976156 + 0.217070i \(0.0696501\pi\)
\(752\) −562571. 705442.i −0.0362771 0.0454901i
\(753\) 585401. + 734069.i 0.0376241 + 0.0471791i
\(754\) 6.73344e6 2.95011e7i 0.431329 1.88978i
\(755\) −5.94606e6 2.60514e7i −0.379631 1.66327i
\(756\) 9.61227e6 + 1.20534e7i 0.611676 + 0.767017i
\(757\) 1.26666e7 6.09990e6i 0.803377 0.386886i 0.0133136 0.999911i \(-0.495762\pi\)
0.790063 + 0.613026i \(0.210048\pi\)
\(758\) −1.09599e7 + 5.27801e6i −0.692842 + 0.333655i