Properties

Label 43.6.e.a.11.10
Level 43
Weight 6
Character 43.11
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 11.10
Character \(\chi\) \(=\) 43.11
Dual form 43.6.e.a.4.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.186655 + 0.234058i) q^{2} +(-17.0687 + 21.4035i) q^{3} +(7.10073 - 31.1103i) q^{4} +(-36.3074 + 17.4847i) q^{5} -8.19562 q^{6} +50.2807 q^{7} +(17.2382 - 8.30146i) q^{8} +(-112.696 - 493.753i) q^{9} +O(q^{10})\) \(q+(0.186655 + 0.234058i) q^{2} +(-17.0687 + 21.4035i) q^{3} +(7.10073 - 31.1103i) q^{4} +(-36.3074 + 17.4847i) q^{5} -8.19562 q^{6} +50.2807 q^{7} +(17.2382 - 8.30146i) q^{8} +(-112.696 - 493.753i) q^{9} +(-10.8694 - 5.23442i) q^{10} +(-100.713 - 441.253i) q^{11} +(544.669 + 682.994i) q^{12} +(894.852 - 430.938i) q^{13} +(9.38514 + 11.7686i) q^{14} +(245.487 - 1075.55i) q^{15} +(-914.848 - 440.567i) q^{16} +(-1430.54 - 688.910i) q^{17} +(94.5316 - 118.539i) q^{18} +(-308.765 + 1352.79i) q^{19} +(286.146 + 1253.69i) q^{20} +(-858.228 + 1076.18i) q^{21} +(84.4802 - 105.935i) q^{22} +(-512.109 - 2243.70i) q^{23} +(-116.553 + 510.652i) q^{24} +(-935.895 + 1173.57i) q^{25} +(267.893 + 129.010i) q^{26} +(6498.03 + 3129.29i) q^{27} +(357.030 - 1564.25i) q^{28} +(-3699.43 - 4638.94i) q^{29} +(297.561 - 143.298i) q^{30} +(3757.82 + 4712.16i) q^{31} +(-203.882 - 893.264i) q^{32} +(11163.4 + 5376.02i) q^{33} +(-105.772 - 463.417i) q^{34} +(-1825.56 + 879.144i) q^{35} -16161.0 q^{36} -729.331 q^{37} +(-374.263 + 180.236i) q^{38} +(-6050.40 + 26508.5i) q^{39} +(-480.724 + 602.809i) q^{40} +(-6481.09 - 8127.03i) q^{41} -412.081 q^{42} +(-2894.51 - 11774.1i) q^{43} -14442.7 q^{44} +(12724.8 + 15956.4i) q^{45} +(429.567 - 538.660i) q^{46} +(2619.36 - 11476.2i) q^{47} +(25045.0 - 12061.0i) q^{48} -14278.8 q^{49} -449.374 q^{50} +(39162.5 - 18859.7i) q^{51} +(-7052.52 - 30899.1i) q^{52} +(16970.9 + 8172.75i) q^{53} +(480.455 + 2105.01i) q^{54} +(11371.8 + 14259.8i) q^{55} +(866.747 - 417.403i) q^{56} +(-23684.2 - 29699.0i) q^{57} +(395.264 - 1731.76i) q^{58} +(4068.90 + 1959.48i) q^{59} +(-31717.5 - 15274.3i) q^{60} +(10220.1 - 12815.6i) q^{61} +(-401.502 + 1759.09i) q^{62} +(-5666.44 - 24826.3i) q^{63} +(-20088.0 + 25189.5i) q^{64} +(-24954.9 + 31292.5i) q^{65} +(825.407 + 3616.34i) q^{66} +(2936.53 - 12865.8i) q^{67} +(-31590.1 + 39612.7i) q^{68} +(56764.0 + 27336.1i) q^{69} +(-546.520 - 263.190i) q^{70} +(4201.00 - 18405.8i) q^{71} +(-6041.55 - 7575.86i) q^{72} +(-57493.8 + 27687.5i) q^{73} +(-136.133 - 170.706i) q^{74} +(-9144.08 - 40062.8i) q^{75} +(39893.2 + 19211.6i) q^{76} +(-5063.93 - 22186.5i) q^{77} +(-7333.86 + 3531.80i) q^{78} +70743.0 q^{79} +40918.9 q^{80} +(-67010.6 + 32270.6i) q^{81} +(692.468 - 3033.90i) q^{82} +(-19999.0 + 25078.0i) q^{83} +(27386.4 + 34341.4i) q^{84} +63984.4 q^{85} +(2215.55 - 2875.18i) q^{86} +162434. q^{87} +(-5399.16 - 6770.33i) q^{88} +(-77737.8 + 97480.1i) q^{89} +(-1359.58 + 5956.69i) q^{90} +(44993.8 - 21667.9i) q^{91} -73438.5 q^{92} -164998. q^{93} +(3175.01 - 1529.00i) q^{94} +(-12442.7 - 54514.9i) q^{95} +(22599.0 + 10883.1i) q^{96} +(-14201.6 - 62221.5i) q^{97} +(-2665.22 - 3342.08i) q^{98} +(-206520. + 99455.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.186655 + 0.234058i 0.0329962 + 0.0413760i 0.798056 0.602584i \(-0.205862\pi\)
−0.765060 + 0.643959i \(0.777291\pi\)
\(3\) −17.0687 + 21.4035i −1.09496 + 1.37304i −0.173375 + 0.984856i \(0.555467\pi\)
−0.921584 + 0.388179i \(0.873104\pi\)
\(4\) 7.10073 31.1103i 0.221898 0.972197i
\(5\) −36.3074 + 17.4847i −0.649486 + 0.312776i −0.729463 0.684021i \(-0.760230\pi\)
0.0799764 + 0.996797i \(0.474516\pi\)
\(6\) −8.19562 −0.0929402
\(7\) 50.2807 0.387843 0.193922 0.981017i \(-0.437879\pi\)
0.193922 + 0.981017i \(0.437879\pi\)
\(8\) 17.2382 8.30146i 0.0952283 0.0458595i
\(9\) −112.696 493.753i −0.463770 2.03191i
\(10\) −10.8694 5.23442i −0.0343720 0.0165527i
\(11\) −100.713 441.253i −0.250960 1.09953i −0.930616 0.365997i \(-0.880728\pi\)
0.679656 0.733531i \(-0.262129\pi\)
\(12\) 544.669 + 682.994i 1.09189 + 1.36919i
\(13\) 894.852 430.938i 1.46856 0.707223i 0.482858 0.875699i \(-0.339599\pi\)
0.985706 + 0.168476i \(0.0538844\pi\)
\(14\) 9.38514 + 11.7686i 0.0127974 + 0.0160474i
\(15\) 245.487 1075.55i 0.281708 1.23424i
\(16\) −914.848 440.567i −0.893406 0.430242i
\(17\) −1430.54 688.910i −1.20054 0.578150i −0.276711 0.960953i \(-0.589244\pi\)
−0.923830 + 0.382804i \(0.874959\pi\)
\(18\) 94.5316 118.539i 0.0687695 0.0862342i
\(19\) −308.765 + 1352.79i −0.196221 + 0.859698i 0.776941 + 0.629574i \(0.216771\pi\)
−0.973161 + 0.230125i \(0.926087\pi\)
\(20\) 286.146 + 1253.69i 0.159961 + 0.700833i
\(21\) −858.228 + 1076.18i −0.424673 + 0.532523i
\(22\) 84.4802 105.935i 0.0372133 0.0466640i
\(23\) −512.109 2243.70i −0.201857 0.884392i −0.969805 0.243880i \(-0.921580\pi\)
0.767949 0.640511i \(-0.221278\pi\)
\(24\) −116.553 + 510.652i −0.0413043 + 0.180966i
\(25\) −935.895 + 1173.57i −0.299486 + 0.375544i
\(26\) 267.893 + 129.010i 0.0777191 + 0.0374275i
\(27\) 6498.03 + 3129.29i 1.71543 + 0.826106i
\(28\) 357.030 1564.25i 0.0860616 0.377060i
\(29\) −3699.43 4638.94i −0.816846 1.02429i −0.999157 0.0410519i \(-0.986929\pi\)
0.182311 0.983241i \(-0.441642\pi\)
\(30\) 297.561 143.298i 0.0603634 0.0290695i
\(31\) 3757.82 + 4712.16i 0.702314 + 0.880674i 0.997194 0.0748599i \(-0.0238510\pi\)
−0.294880 + 0.955534i \(0.595280\pi\)
\(32\) −203.882 893.264i −0.0351968 0.154207i
\(33\) 11163.4 + 5376.02i 1.78448 + 0.859361i
\(34\) −105.772 463.417i −0.0156918 0.0687503i
\(35\) −1825.56 + 879.144i −0.251899 + 0.121308i
\(36\) −16161.0 −2.07832
\(37\) −729.331 −0.0875831 −0.0437916 0.999041i \(-0.513944\pi\)
−0.0437916 + 0.999041i \(0.513944\pi\)
\(38\) −374.263 + 180.236i −0.0420454 + 0.0202480i
\(39\) −6050.40 + 26508.5i −0.636975 + 2.79077i
\(40\) −480.724 + 602.809i −0.0475057 + 0.0595703i
\(41\) −6481.09 8127.03i −0.602127 0.755044i 0.383580 0.923507i \(-0.374691\pi\)
−0.985708 + 0.168464i \(0.946119\pi\)
\(42\) −412.081 −0.0360462
\(43\) −2894.51 11774.1i −0.238728 0.971086i
\(44\) −14442.7 −1.12465
\(45\) 12724.8 + 15956.4i 0.936744 + 1.17464i
\(46\) 429.567 538.660i 0.0299320 0.0375336i
\(47\) 2619.36 11476.2i 0.172962 0.757797i −0.811806 0.583927i \(-0.801516\pi\)
0.984769 0.173870i \(-0.0556273\pi\)
\(48\) 25045.0 12061.0i 1.56898 0.755581i
\(49\) −14278.8 −0.849578
\(50\) −449.374 −0.0254204
\(51\) 39162.5 18859.7i 2.10836 1.01533i
\(52\) −7052.52 30899.1i −0.361689 1.58467i
\(53\) 16970.9 + 8172.75i 0.829880 + 0.399649i 0.800070 0.599907i \(-0.204796\pi\)
0.0298097 + 0.999556i \(0.490510\pi\)
\(54\) 480.455 + 2105.01i 0.0224217 + 0.0982358i
\(55\) 11371.8 + 14259.8i 0.506901 + 0.635634i
\(56\) 866.747 417.403i 0.0369337 0.0177863i
\(57\) −23684.2 29699.0i −0.965543 1.21075i
\(58\) 395.264 1731.76i 0.0154283 0.0675956i
\(59\) 4068.90 + 1959.48i 0.152176 + 0.0732842i 0.508422 0.861108i \(-0.330229\pi\)
−0.356246 + 0.934392i \(0.615943\pi\)
\(60\) −31717.5 15274.3i −1.13742 0.547752i
\(61\) 10220.1 12815.6i 0.351667 0.440976i −0.574264 0.818670i \(-0.694712\pi\)
0.925930 + 0.377694i \(0.123283\pi\)
\(62\) −401.502 + 1759.09i −0.0132650 + 0.0581179i
\(63\) −5666.44 24826.3i −0.179870 0.788062i
\(64\) −20088.0 + 25189.5i −0.613037 + 0.768724i
\(65\) −24954.9 + 31292.5i −0.732610 + 0.918663i
\(66\) 825.407 + 3616.34i 0.0233243 + 0.102190i
\(67\) 2936.53 12865.8i 0.0799184 0.350145i −0.919121 0.393976i \(-0.871099\pi\)
0.999039 + 0.0438310i \(0.0139563\pi\)
\(68\) −31590.1 + 39612.7i −0.828473 + 1.03887i
\(69\) 56764.0 + 27336.1i 1.43533 + 0.691216i
\(70\) −546.520 263.190i −0.0133310 0.00641985i
\(71\) 4201.00 18405.8i 0.0989025 0.433320i −0.901097 0.433617i \(-0.857237\pi\)
1.00000 0.000296456i \(9.43650e-5\pi\)
\(72\) −6041.55 7575.86i −0.137346 0.172227i
\(73\) −57493.8 + 27687.5i −1.26274 + 0.608103i −0.940898 0.338690i \(-0.890016\pi\)
−0.321841 + 0.946794i \(0.604302\pi\)
\(74\) −136.133 170.706i −0.00288991 0.00362383i
\(75\) −9144.08 40062.8i −0.187710 0.822411i
\(76\) 39893.2 + 19211.6i 0.792256 + 0.381530i
\(77\) −5063.93 22186.5i −0.0973332 0.426445i
\(78\) −7333.86 + 3531.80i −0.136489 + 0.0657294i
\(79\) 70743.0 1.27531 0.637655 0.770322i \(-0.279905\pi\)
0.637655 + 0.770322i \(0.279905\pi\)
\(80\) 40918.9 0.714824
\(81\) −67010.6 + 32270.6i −1.13483 + 0.546506i
\(82\) 692.468 3033.90i 0.0113727 0.0498272i
\(83\) −19999.0 + 25078.0i −0.318650 + 0.399574i −0.915199 0.403002i \(-0.867967\pi\)
0.596549 + 0.802577i \(0.296538\pi\)
\(84\) 27386.4 + 34341.4i 0.423483 + 0.531031i
\(85\) 63984.4 0.960566
\(86\) 2215.55 2875.18i 0.0323025 0.0419198i
\(87\) 162434. 2.30080
\(88\) −5399.16 6770.33i −0.0743224 0.0931973i
\(89\) −77737.8 + 97480.1i −1.04030 + 1.30449i −0.0890600 + 0.996026i \(0.528386\pi\)
−0.951236 + 0.308464i \(0.900185\pi\)
\(90\) −1359.58 + 5956.69i −0.0176928 + 0.0775174i
\(91\) 44993.8 21667.9i 0.569573 0.274292i
\(92\) −73438.5 −0.904595
\(93\) −164998. −1.97820
\(94\) 3175.01 1529.00i 0.0370617 0.0178480i
\(95\) −12442.7 54514.9i −0.141451 0.619735i
\(96\) 22599.0 + 10883.1i 0.250271 + 0.120524i
\(97\) −14201.6 62221.5i −0.153253 0.671446i −0.991927 0.126812i \(-0.959526\pi\)
0.838674 0.544634i \(-0.183331\pi\)
\(98\) −2665.22 3342.08i −0.0280329 0.0351521i
\(99\) −206520. + 99455.0i −2.11775 + 1.01986i
\(100\) 29864.8 + 37449.2i 0.298648 + 0.374492i
\(101\) −18144.6 + 79496.7i −0.176988 + 0.775436i 0.806022 + 0.591885i \(0.201616\pi\)
−0.983010 + 0.183550i \(0.941241\pi\)
\(102\) 11724.1 + 5646.04i 0.111578 + 0.0537333i
\(103\) 107616. + 51825.0i 0.999499 + 0.481333i 0.860768 0.508997i \(-0.169983\pi\)
0.138731 + 0.990330i \(0.455698\pi\)
\(104\) 11848.2 14857.2i 0.107416 0.134695i
\(105\) 12343.2 54079.3i 0.109259 0.478694i
\(106\) 1254.80 + 5497.65i 0.0108470 + 0.0475240i
\(107\) 40280.2 50509.8i 0.340120 0.426497i −0.582127 0.813098i \(-0.697779\pi\)
0.922247 + 0.386601i \(0.126351\pi\)
\(108\) 143494. 179936.i 1.18379 1.48442i
\(109\) 3900.86 + 17090.8i 0.0314481 + 0.137783i 0.988215 0.153073i \(-0.0489170\pi\)
−0.956767 + 0.290856i \(0.906060\pi\)
\(110\) −1215.01 + 5323.33i −0.00957414 + 0.0419471i
\(111\) 12448.7 15610.2i 0.0958999 0.120255i
\(112\) −45999.2 22152.0i −0.346502 0.166866i
\(113\) 120382. + 57972.7i 0.886879 + 0.427098i 0.821132 0.570738i \(-0.193343\pi\)
0.0657464 + 0.997836i \(0.479057\pi\)
\(114\) 2530.52 11086.9i 0.0182368 0.0799005i
\(115\) 57823.7 + 72508.7i 0.407720 + 0.511264i
\(116\) −170588. + 82150.7i −1.17707 + 0.566848i
\(117\) −313623. 393271.i −2.11809 2.65600i
\(118\) 300.848 + 1318.10i 0.00198904 + 0.00871454i
\(119\) −71928.4 34638.9i −0.465622 0.224232i
\(120\) −4696.87 20578.4i −0.0297753 0.130454i
\(121\) −39459.5 + 19002.7i −0.245013 + 0.117992i
\(122\) 4907.23 0.0298495
\(123\) 284571. 1.69601
\(124\) 173280. 83447.2i 1.01203 0.487369i
\(125\) 41482.7 181748.i 0.237461 1.04038i
\(126\) 4753.11 5960.22i 0.0266718 0.0334453i
\(127\) 135584. + 170017.i 0.745932 + 0.935370i 0.999489 0.0319509i \(-0.0101720\pi\)
−0.253557 + 0.967320i \(0.581601\pi\)
\(128\) −38964.9 −0.210208
\(129\) 301413. + 139017.i 1.59473 + 0.735518i
\(130\) −11982.2 −0.0621839
\(131\) −142077. 178159.i −0.723344 0.907044i 0.275178 0.961393i \(-0.411263\pi\)
−0.998522 + 0.0543489i \(0.982692\pi\)
\(132\) 246518. 309124.i 1.23144 1.54418i
\(133\) −15524.9 + 68019.2i −0.0761028 + 0.333428i
\(134\) 3559.45 1714.14i 0.0171246 0.00824678i
\(135\) −290641. −1.37253
\(136\) −30378.8 −0.140839
\(137\) −311311. + 149919.i −1.41707 + 0.682427i −0.976545 0.215312i \(-0.930923\pi\)
−0.440529 + 0.897738i \(0.645209\pi\)
\(138\) 4197.05 + 18388.5i 0.0187606 + 0.0821955i
\(139\) −337100. 162339.i −1.47986 0.712665i −0.492380 0.870380i \(-0.663873\pi\)
−0.987485 + 0.157715i \(0.949587\pi\)
\(140\) 14387.6 + 63036.4i 0.0620397 + 0.271813i
\(141\) 200921. + 251947.i 0.851095 + 1.06724i
\(142\) 5092.16 2452.25i 0.0211924 0.0102057i
\(143\) −280276. 351455.i −1.14616 1.43724i
\(144\) −114432. + 501359.i −0.459877 + 2.01485i
\(145\) 215427. + 103744.i 0.850905 + 0.409774i
\(146\) −17212.0 8288.85i −0.0668265 0.0321819i
\(147\) 243722. 305617.i 0.930253 1.16650i
\(148\) −5178.78 + 22689.7i −0.0194345 + 0.0851481i
\(149\) 59750.4 + 261784.i 0.220483 + 0.965999i 0.957116 + 0.289706i \(0.0935575\pi\)
−0.736633 + 0.676293i \(0.763585\pi\)
\(150\) 7670.23 9618.17i 0.0278343 0.0349031i
\(151\) −29798.4 + 37366.0i −0.106353 + 0.133363i −0.832159 0.554537i \(-0.812896\pi\)
0.725806 + 0.687899i \(0.241467\pi\)
\(152\) 5907.58 + 25882.8i 0.0207396 + 0.0908662i
\(153\) −178936. + 783970.i −0.617973 + 2.70751i
\(154\) 4247.72 5326.48i 0.0144329 0.0180983i
\(155\) −218827. 105382.i −0.731598 0.352319i
\(156\) 781727. + 376460.i 2.57184 + 1.23853i
\(157\) 57644.1 252555.i 0.186640 0.817725i −0.791731 0.610870i \(-0.790820\pi\)
0.978371 0.206856i \(-0.0663230\pi\)
\(158\) 13204.5 + 16557.9i 0.0420804 + 0.0527671i
\(159\) −464597. + 223738.i −1.45742 + 0.701855i
\(160\) 23020.9 + 28867.3i 0.0710922 + 0.0891468i
\(161\) −25749.2 112815.i −0.0782887 0.343005i
\(162\) −20061.1 9660.89i −0.0600573 0.0289221i
\(163\) −90964.9 398543.i −0.268167 1.17492i −0.912144 0.409870i \(-0.865574\pi\)
0.643977 0.765045i \(-0.277283\pi\)
\(164\) −298855. + 143921.i −0.867662 + 0.417844i
\(165\) −499313. −1.42778
\(166\) −9602.61 −0.0270470
\(167\) 194177. 93510.6i 0.538773 0.259459i −0.144649 0.989483i \(-0.546205\pi\)
0.683422 + 0.730024i \(0.260491\pi\)
\(168\) −5860.37 + 25676.0i −0.0160196 + 0.0701865i
\(169\) 383555. 480963.i 1.03303 1.29537i
\(170\) 11943.0 + 14976.1i 0.0316950 + 0.0397443i
\(171\) 702741. 1.83783
\(172\) −386850. + 6444.13i −0.997061 + 0.0166090i
\(173\) 635993. 1.61561 0.807807 0.589448i \(-0.200655\pi\)
0.807807 + 0.589448i \(0.200655\pi\)
\(174\) 30319.1 + 38019.0i 0.0759178 + 0.0951979i
\(175\) −47057.5 + 59008.2i −0.116154 + 0.145652i
\(176\) −102265. + 448051.i −0.248854 + 1.09030i
\(177\) −111391. + 53642.9i −0.267249 + 0.128700i
\(178\) −37326.1 −0.0883004
\(179\) −265747. −0.619920 −0.309960 0.950750i \(-0.600316\pi\)
−0.309960 + 0.950750i \(0.600316\pi\)
\(180\) 586765. 282571.i 1.34984 0.650050i
\(181\) −143849. 630244.i −0.326370 1.42992i −0.825994 0.563679i \(-0.809385\pi\)
0.499623 0.866243i \(-0.333472\pi\)
\(182\) 13469.8 + 6486.73i 0.0301428 + 0.0145160i
\(183\) 99854.8 + 437493.i 0.220415 + 0.965702i
\(184\) −27453.8 34426.0i −0.0597802 0.0749621i
\(185\) 26480.1 12752.1i 0.0568840 0.0273939i
\(186\) −30797.6 38619.0i −0.0652732 0.0818500i
\(187\) −159910. + 700612.i −0.334404 + 1.46512i
\(188\) −338428. 162978.i −0.698348 0.336307i
\(189\) 326726. + 157343.i 0.665317 + 0.320400i
\(190\) 10437.2 13087.8i 0.0209748 0.0263016i
\(191\) −77031.5 + 337497.i −0.152786 + 0.669401i 0.839281 + 0.543697i \(0.182976\pi\)
−0.992068 + 0.125704i \(0.959881\pi\)
\(192\) −196268. 859907.i −0.384235 1.68344i
\(193\) −320660. + 402095.i −0.619658 + 0.777026i −0.988296 0.152547i \(-0.951253\pi\)
0.368639 + 0.929573i \(0.379824\pi\)
\(194\) 11912.6 14937.9i 0.0227249 0.0284962i
\(195\) −243820. 1.06824e6i −0.459180 2.01180i
\(196\) −101390. + 444220.i −0.188519 + 0.825957i
\(197\) 76280.3 95652.4i 0.140038 0.175602i −0.706867 0.707347i \(-0.749892\pi\)
0.846905 + 0.531744i \(0.178463\pi\)
\(198\) −61826.3 29774.0i −0.112075 0.0539726i
\(199\) 400604. + 192921.i 0.717105 + 0.345339i 0.756598 0.653880i \(-0.226860\pi\)
−0.0394932 + 0.999220i \(0.512574\pi\)
\(200\) −6390.72 + 27999.6i −0.0112973 + 0.0494967i
\(201\) 225250. + 282454.i 0.393255 + 0.493126i
\(202\) −21993.6 + 10591.6i −0.0379243 + 0.0182634i
\(203\) −186010. 233249.i −0.316808 0.397265i
\(204\) −308648. 1.35228e6i −0.519264 2.27504i
\(205\) 377410. + 181751.i 0.627233 + 0.302060i
\(206\) 7956.95 + 34861.7i 0.0130641 + 0.0572374i
\(207\) −1.05012e6 + 505711.i −1.70339 + 0.820308i
\(208\) −1.00851e6 −1.61630
\(209\) 628020. 0.994506
\(210\) 14961.6 7205.13i 0.0234115 0.0112744i
\(211\) 161312. 706756.i 0.249437 1.09286i −0.682685 0.730713i \(-0.739188\pi\)
0.932122 0.362144i \(-0.117955\pi\)
\(212\) 374763. 469938.i 0.572686 0.718126i
\(213\) 322243. + 404080.i 0.486670 + 0.610264i
\(214\) 19340.7 0.0288694
\(215\) 310959. + 376878.i 0.458783 + 0.556039i
\(216\) 137992. 0.201242
\(217\) 188946. + 236931.i 0.272388 + 0.341564i
\(218\) −3272.12 + 4103.11i −0.00466324 + 0.00584752i
\(219\) 388735. 1.70316e6i 0.547701 2.39963i
\(220\) 524376. 252526.i 0.730442 0.351762i
\(221\) −1.57700e6 −2.17195
\(222\) 5977.32 0.00813999
\(223\) 1.14893e6 553294.i 1.54714 0.745064i 0.551141 0.834412i \(-0.314193\pi\)
0.996000 + 0.0893485i \(0.0284785\pi\)
\(224\) −10251.3 44914.0i −0.0136508 0.0598083i
\(225\) 684928. + 329844.i 0.901963 + 0.434363i
\(226\) 8900.84 + 38997.1i 0.0115920 + 0.0507881i
\(227\) 654832. + 821133.i 0.843461 + 1.05767i 0.997574 + 0.0696138i \(0.0221767\pi\)
−0.154113 + 0.988053i \(0.549252\pi\)
\(228\) −1.09212e6 + 525938.i −1.39134 + 0.670035i
\(229\) −374711. 469873.i −0.472181 0.592096i 0.487523 0.873110i \(-0.337901\pi\)
−0.959704 + 0.281014i \(0.909329\pi\)
\(230\) −6178.14 + 27068.2i −0.00770084 + 0.0337396i
\(231\) 561305. + 270310.i 0.692100 + 0.333298i
\(232\) −102281. 49256.2i −0.124760 0.0600815i
\(233\) 579046. 726101.i 0.698753 0.876208i −0.298177 0.954511i \(-0.596379\pi\)
0.996930 + 0.0783024i \(0.0249500\pi\)
\(234\) 33508.9 146812.i 0.0400055 0.175276i
\(235\) 105556. + 462469.i 0.124684 + 0.546277i
\(236\) 89852.1 112671.i 0.105014 0.131684i
\(237\) −1.20749e6 + 1.51415e6i −1.39641 + 1.75104i
\(238\) −5318.28 23300.9i −0.00608596 0.0266643i
\(239\) 70704.4 309776.i 0.0800666 0.350795i −0.918987 0.394288i \(-0.870991\pi\)
0.999054 + 0.0434927i \(0.0138485\pi\)
\(240\) −698434. + 875808.i −0.782703 + 0.981479i
\(241\) 281943. + 135776.i 0.312693 + 0.150585i 0.583647 0.812007i \(-0.301625\pi\)
−0.270955 + 0.962592i \(0.587339\pi\)
\(242\) −11813.0 5688.86i −0.0129665 0.00624435i
\(243\) 63095.7 276440.i 0.0685463 0.300321i
\(244\) −326128. 408951.i −0.350682 0.439741i
\(245\) 518428. 249662.i 0.551789 0.265728i
\(246\) 53116.5 + 66606.0i 0.0559618 + 0.0701739i
\(247\) 306669. + 1.34360e6i 0.319836 + 1.40129i
\(248\) 103896. + 50033.5i 0.107268 + 0.0516573i
\(249\) −195399. 856098.i −0.199721 0.875035i
\(250\) 50282.4 24214.7i 0.0508822 0.0245036i
\(251\) 1.73542e6 1.73869 0.869343 0.494209i \(-0.164542\pi\)
0.869343 + 0.494209i \(0.164542\pi\)
\(252\) −812589. −0.806064
\(253\) −938463. + 451940.i −0.921756 + 0.443894i
\(254\) −14486.4 + 63469.0i −0.0140889 + 0.0617273i
\(255\) −1.09213e6 + 1.36949e6i −1.05178 + 1.31889i
\(256\) 635543. + 796945.i 0.606101 + 0.760026i
\(257\) −1.44633e6 −1.36595 −0.682975 0.730441i \(-0.739314\pi\)
−0.682975 + 0.730441i \(0.739314\pi\)
\(258\) 23722.3 + 96496.3i 0.0221874 + 0.0902529i
\(259\) −36671.3 −0.0339685
\(260\) 796321. + 998554.i 0.730558 + 0.916090i
\(261\) −1.87358e6 + 2.34940e6i −1.70244 + 2.13479i
\(262\) 15180.1 66508.3i 0.0136622 0.0598581i
\(263\) 1.23635e6 595393.i 1.10217 0.530780i 0.207833 0.978164i \(-0.433359\pi\)
0.894342 + 0.447385i \(0.147645\pi\)
\(264\) 237066. 0.209343
\(265\) −759067. −0.663996
\(266\) −18818.2 + 9062.38i −0.0163070 + 0.00785305i
\(267\) −759530. 3.32772e6i −0.652029 2.85673i
\(268\) −379406. 182712.i −0.322677 0.155393i
\(269\) −43278.7 189616.i −0.0364665 0.159770i 0.953416 0.301658i \(-0.0975400\pi\)
−0.989883 + 0.141888i \(0.954683\pi\)
\(270\) −54249.6 68026.8i −0.0452884 0.0567899i
\(271\) −1.77401e6 + 854320.i −1.46735 + 0.706639i −0.985509 0.169620i \(-0.945746\pi\)
−0.481841 + 0.876259i \(0.660032\pi\)
\(272\) 1.00521e6 + 1.26050e6i 0.823826 + 1.03304i
\(273\) −304218. + 1.33287e6i −0.247047 + 1.08238i
\(274\) −93197.4 44881.5i −0.0749942 0.0361153i
\(275\) 612101. + 294772.i 0.488080 + 0.235047i
\(276\) 1.25350e6 1.57184e6i 0.990494 1.24204i
\(277\) 8244.94 36123.4i 0.00645636 0.0282872i −0.971597 0.236641i \(-0.923953\pi\)
0.978053 + 0.208354i \(0.0668106\pi\)
\(278\) −24924.7 109202.i −0.0193427 0.0847461i
\(279\) 1.90315e6 2.38648e6i 1.46374 1.83547i
\(280\) −24171.1 + 30309.7i −0.0184248 + 0.0231039i
\(281\) 73264.3 + 320992.i 0.0553511 + 0.242509i 0.995034 0.0995386i \(-0.0317367\pi\)
−0.939683 + 0.342048i \(0.888880\pi\)
\(282\) −21467.3 + 94054.4i −0.0160751 + 0.0704298i
\(283\) 824961. 1.03447e6i 0.612304 0.767805i −0.374935 0.927051i \(-0.622335\pi\)
0.987239 + 0.159246i \(0.0509063\pi\)
\(284\) −542780. 261389.i −0.399327 0.192306i
\(285\) 1.37919e6 + 664183.i 1.00580 + 0.484368i
\(286\) 29945.9 131202.i 0.0216482 0.0948472i
\(287\) −325874. 408633.i −0.233531 0.292839i
\(288\) −418076. + 201335.i −0.297012 + 0.143033i
\(289\) 686572. + 860934.i 0.483550 + 0.606353i
\(290\) 15928.4 + 69786.8i 0.0111218 + 0.0487280i
\(291\) 1.57416e6 + 758076.i 1.08972 + 0.524784i
\(292\) 453121. + 1.98525e6i 0.310997 + 1.36257i
\(293\) 1.73871e6 837317.i 1.18320 0.569798i 0.264356 0.964425i \(-0.414841\pi\)
0.918841 + 0.394627i \(0.129126\pi\)
\(294\) 117024. 0.0789599
\(295\) −181992. −0.121758
\(296\) −12572.3 + 6054.51i −0.00834039 + 0.00401652i
\(297\) 726371. 3.18244e6i 0.477823 2.09348i
\(298\) −50119.8 + 62848.2i −0.0326940 + 0.0409970i
\(299\) −1.42516e6 1.78709e6i −0.921901 1.15603i
\(300\) −1.31130e6 −0.841198
\(301\) −145538. 592012.i −0.0925891 0.376629i
\(302\) −14307.8 −0.00902726
\(303\) −1.39180e6 1.74527e6i −0.870906 1.09208i
\(304\) 878468. 1.10156e6i 0.545183 0.683637i
\(305\) −146988. + 643997.i −0.0904759 + 0.396401i
\(306\) −216893. + 104450.i −0.132417 + 0.0637686i
\(307\) −629508. −0.381202 −0.190601 0.981668i \(-0.561044\pi\)
−0.190601 + 0.981668i \(0.561044\pi\)
\(308\) −726188. −0.436186
\(309\) −2.94610e6 + 1.41877e6i −1.75530 + 0.845307i
\(310\) −16179.8 70888.2i −0.00956243 0.0418957i
\(311\) 1.92647e6 + 927741.i 1.12944 + 0.543908i 0.902796 0.430070i \(-0.141511\pi\)
0.226642 + 0.973978i \(0.427225\pi\)
\(312\) 115762. + 507186.i 0.0673254 + 0.294972i
\(313\) −1.56161e6 1.95820e6i −0.900974 1.12979i −0.991002 0.133846i \(-0.957267\pi\)
0.0900285 0.995939i \(-0.471304\pi\)
\(314\) 69872.1 33648.6i 0.0399926 0.0192594i
\(315\) 639814. + 802301.i 0.363310 + 0.455576i
\(316\) 502327. 2.20084e6i 0.282988 1.23985i
\(317\) −1.44603e6 696371.i −0.808219 0.389218i −0.0163176 0.999867i \(-0.505194\pi\)
−0.791901 + 0.610649i \(0.790909\pi\)
\(318\) −139087. 66980.8i −0.0771292 0.0371434i
\(319\) −1.67437e6 + 2.09959e6i −0.921243 + 1.15520i
\(320\) 288910. 1.26580e6i 0.157721 0.691019i
\(321\) 393554. + 1.72427e6i 0.213178 + 0.933994i
\(322\) 21598.9 27084.2i 0.0116089 0.0145572i
\(323\) 1.37365e6 1.72250e6i 0.732605 0.918658i
\(324\) 528125. + 2.31387e6i 0.279495 + 1.22455i
\(325\) −331749. + 1.45349e6i −0.174221 + 0.763314i
\(326\) 76303.1 95681.1i 0.0397648 0.0498634i
\(327\) −432386. 208226.i −0.223616 0.107688i
\(328\) −179188. 86292.6i −0.0919655 0.0442883i
\(329\) 131703. 577031.i 0.0670822 0.293906i
\(330\) −93199.1 116868.i −0.0471115 0.0590759i
\(331\) −563562. + 271397.i −0.282730 + 0.136156i −0.569875 0.821732i \(-0.693008\pi\)
0.287145 + 0.957887i \(0.407294\pi\)
\(332\) 638176. + 800248.i 0.317757 + 0.398455i
\(333\) 82192.7 + 360110.i 0.0406184 + 0.177961i
\(334\) 58130.9 + 27994.4i 0.0285129 + 0.0137311i
\(335\) 118337. + 518466.i 0.0576112 + 0.252411i
\(336\) 1.25928e6 606437.i 0.608518 0.293047i
\(337\) −185611. −0.0890284 −0.0445142 0.999009i \(-0.514174\pi\)
−0.0445142 + 0.999009i \(0.514174\pi\)
\(338\) 184166. 0.0876832
\(339\) −3.29558e6 + 1.58707e6i −1.55752 + 0.750060i
\(340\) 454336. 1.99058e6i 0.213147 0.933860i
\(341\) 1.70079e6 2.13273e6i 0.792074 0.993229i
\(342\) 131170. + 164482.i 0.0606414 + 0.0760419i
\(343\) −1.56302e6 −0.717346
\(344\) −147639. 178936.i −0.0672672 0.0815270i
\(345\) −2.53892e6 −1.14842
\(346\) 118711. + 148859.i 0.0533091 + 0.0668475i
\(347\) −24164.9 + 30301.8i −0.0107736 + 0.0135097i −0.787189 0.616712i \(-0.788464\pi\)
0.776415 + 0.630221i \(0.217036\pi\)
\(348\) 1.15340e6 5.05338e6i 0.510543 2.23684i
\(349\) 335827. 161726.i 0.147588 0.0710747i −0.358632 0.933479i \(-0.616757\pi\)
0.506220 + 0.862404i \(0.331042\pi\)
\(350\) −22594.8 −0.00985914
\(351\) 7.16330e6 3.10346
\(352\) −373622. + 179927.i −0.160722 + 0.0773998i
\(353\) 902751. + 3.95521e6i 0.385595 + 1.68940i 0.679588 + 0.733594i \(0.262158\pi\)
−0.293994 + 0.955807i \(0.594984\pi\)
\(354\) −33347.1 16059.1i −0.0141433 0.00681105i
\(355\) 169293. + 741720.i 0.0712964 + 0.312370i
\(356\) 2.48064e6 + 3.11063e6i 1.03738 + 1.30084i
\(357\) 1.96912e6 948278.i 0.817714 0.393790i
\(358\) −49603.0 62200.2i −0.0204550 0.0256498i
\(359\) −340317. + 1.49103e6i −0.139363 + 0.610590i 0.856212 + 0.516624i \(0.172812\pi\)
−0.995575 + 0.0939657i \(0.970046\pi\)
\(360\) 351815. + 169425.i 0.143073 + 0.0689003i
\(361\) 496185. + 238950.i 0.200390 + 0.0965027i
\(362\) 120663. 151307.i 0.0483954 0.0606859i
\(363\) 266799. 1.16892e6i 0.106272 0.465607i
\(364\) −354606. 1.55363e6i −0.140279 0.614602i
\(365\) 1.60334e6 2.01052e6i 0.629932 0.789909i
\(366\) −83760.1 + 105032.i −0.0326840 + 0.0409844i
\(367\) −870730. 3.81492e6i −0.337457 1.47850i −0.804336 0.594174i \(-0.797479\pi\)
0.466879 0.884321i \(-0.345378\pi\)
\(368\) −519998. + 2.27826e6i −0.200162 + 0.876968i
\(369\) −3.28236e6 + 4.11594e6i −1.25493 + 1.57363i
\(370\) 7927.38 + 3817.62i 0.00301041 + 0.00144974i
\(371\) 853309. + 410932.i 0.321863 + 0.155001i
\(372\) −1.17160e6 + 5.13313e6i −0.438959 + 1.92320i
\(373\) −533475. 668956.i −0.198537 0.248958i 0.672590 0.740015i \(-0.265182\pi\)
−0.871127 + 0.491058i \(0.836610\pi\)
\(374\) −193832. + 93344.4i −0.0716548 + 0.0345072i
\(375\) 3.18198e6 + 3.99008e6i 1.16847 + 1.46522i
\(376\) −50116.1 219573.i −0.0182813 0.0800957i
\(377\) −5.30954e6 2.55694e6i −1.92399 0.926547i
\(378\) 24157.6 + 105841.i 0.00869610 + 0.0381001i
\(379\) 1.39573e6 672149.i 0.499119 0.240363i −0.167347 0.985898i \(-0.553520\pi\)
0.666467 + 0.745535i \(0.267806\pi\)
\(380\) −1.78433e6 −0.633893
\(381\) −5.95321e6 −2.10106
\(382\) −93372.1 + 44965.6i −0.0327385 + 0.0157660i
\(383\) −568997. + 2.49294e6i −0.198204 + 0.868390i 0.773800 + 0.633429i \(0.218353\pi\)
−0.972005 + 0.234961i \(0.924504\pi\)
\(384\) 665081. 833985.i 0.230169 0.288622i
\(385\) 571783. + 716994.i 0.196598 + 0.246526i
\(386\) −153966. −0.0525966
\(387\) −5.48732e6 + 2.75607e6i −1.86244 + 0.935434i
\(388\) −2.03657e6 −0.686784
\(389\) −3.08067e6 3.86304e6i −1.03222 1.29436i −0.954764 0.297366i \(-0.903892\pi\)
−0.0774553 0.996996i \(-0.524680\pi\)
\(390\) 204521. 256461.i 0.0680889 0.0853807i
\(391\) −813115. + 3.56249e6i −0.268974 + 1.17845i
\(392\) −246141. + 118535.i −0.0809038 + 0.0389612i
\(393\) 6.23829e6 2.03744
\(394\) 36626.3 0.0118865
\(395\) −2.56849e6 + 1.23692e6i −0.828296 + 0.398886i
\(396\) 1.62763e6 + 7.13112e6i 0.521577 + 2.28518i
\(397\) −378432. 182243.i −0.120507 0.0580331i 0.372659 0.927968i \(-0.378446\pi\)
−0.493166 + 0.869935i \(0.664160\pi\)
\(398\) 29620.1 + 129774.i 0.00937300 + 0.0410658i
\(399\) −1.19086e6 1.49329e6i −0.374479 0.469582i
\(400\) 1.37324e6 661317.i 0.429137 0.206662i
\(401\) −1.41465e6 1.77392e6i −0.439328 0.550900i 0.512038 0.858963i \(-0.328891\pi\)
−0.951366 + 0.308063i \(0.900319\pi\)
\(402\) −24066.6 + 105443.i −0.00742763 + 0.0325426i
\(403\) 5.39334e6 + 2.59730e6i 1.65423 + 0.796634i
\(404\) 2.34433e6 + 1.12897e6i 0.714603 + 0.344135i
\(405\) 1.86874e6 2.34332e6i 0.566123 0.709896i
\(406\) 19874.1 87074.3i 0.00598375 0.0262165i
\(407\) 73453.3 + 321820.i 0.0219799 + 0.0963001i
\(408\) 518527. 650213.i 0.154213 0.193377i
\(409\) −3.14996e6 + 3.94992e6i −0.931101 + 1.16756i 0.0545069 + 0.998513i \(0.482641\pi\)
−0.985608 + 0.169050i \(0.945930\pi\)
\(410\) 27905.2 + 122261.i 0.00819832 + 0.0359192i
\(411\) 2.10488e6 9.22207e6i 0.614642 2.69292i
\(412\) 2.37644e6 2.97996e6i 0.689738 0.864904i
\(413\) 204587. + 98524.0i 0.0590205 + 0.0284228i
\(414\) −314376. 151395.i −0.0901463 0.0434122i
\(415\) 287631. 1.26019e6i 0.0819814 0.359184i
\(416\) −567385. 711479.i −0.160748 0.201571i
\(417\) 9.22849e6 4.44421e6i 2.59891 1.25157i
\(418\) 117223. + 146993.i 0.0328150 + 0.0411486i
\(419\) −534316. 2.34099e6i −0.148684 0.651425i −0.993252 0.115977i \(-0.963000\pi\)
0.844568 0.535448i \(-0.179857\pi\)
\(420\) −1.59478e6 768004.i −0.441140 0.212442i
\(421\) −323429. 1.41703e6i −0.0889351 0.389650i 0.910796 0.412858i \(-0.135469\pi\)
−0.999731 + 0.0232075i \(0.992612\pi\)
\(422\) 195531. 94162.9i 0.0534485 0.0257394i
\(423\) −5.96160e6 −1.61999
\(424\) 360393. 0.0973558
\(425\) 2.14732e6 1.03409e6i 0.576666 0.277708i
\(426\) −34429.8 + 150847.i −0.00919201 + 0.0402728i
\(427\) 513875. 644378.i 0.136392 0.171030i
\(428\) −1.28536e6 1.61179e6i −0.339167 0.425302i
\(429\) 1.23063e7 3.22839
\(430\) −30169.2 + 143129.i −0.00786852 + 0.0373298i
\(431\) −4.80062e6 −1.24481 −0.622406 0.782694i \(-0.713845\pi\)
−0.622406 + 0.782694i \(0.713845\pi\)
\(432\) −4.56605e6 5.72564e6i −1.17715 1.47610i
\(433\) 620620. 778233.i 0.159077 0.199476i −0.695905 0.718134i \(-0.744997\pi\)
0.854982 + 0.518658i \(0.173568\pi\)
\(434\) −20187.8 + 88448.5i −0.00514475 + 0.0225406i
\(435\) −5.89756e6 + 2.84012e6i −1.49434 + 0.719636i
\(436\) 559399. 0.140931
\(437\) 3.19337e6 0.799918
\(438\) 471197. 226916.i 0.117359 0.0565172i
\(439\) 1.28287e6 + 5.62063e6i 0.317704 + 1.39195i 0.841569 + 0.540150i \(0.181632\pi\)
−0.523865 + 0.851801i \(0.675510\pi\)
\(440\) 314407. + 151410.i 0.0774212 + 0.0372841i
\(441\) 1.60917e6 + 7.05023e6i 0.394008 + 1.72626i
\(442\) −294354. 369108.i −0.0716662 0.0898665i
\(443\) 1.55497e6 748833.i 0.376454 0.181291i −0.236082 0.971733i \(-0.575863\pi\)
0.612537 + 0.790442i \(0.290149\pi\)
\(444\) −397244. 498129.i −0.0956313 0.119918i
\(445\) 1.11804e6 4.89847e6i 0.267645 1.17263i
\(446\) 343955. + 165640.i 0.0818775 + 0.0394301i
\(447\) −6.62295e6 3.18944e6i −1.56777 0.754998i
\(448\) −1.01004e6 + 1.26655e6i −0.237762 + 0.298144i
\(449\) 970937. 4.25395e6i 0.227287 0.995811i −0.724554 0.689218i \(-0.757954\pi\)
0.951841 0.306592i \(-0.0991888\pi\)
\(450\) 50642.6 + 221880.i 0.0117892 + 0.0516519i
\(451\) −2.93335e6 + 3.67830e6i −0.679082 + 0.851542i
\(452\) 2.65835e6 3.33346e6i 0.612020 0.767449i
\(453\) −291143. 1.27558e6i −0.0666592 0.292053i
\(454\) −69965.1 + 306537.i −0.0159309 + 0.0697980i
\(455\) −1.25475e6 + 1.57341e6i −0.284138 + 0.356297i
\(456\) −654818. 315344.i −0.147472 0.0710186i
\(457\) −1.88929e6 909836.i −0.423164 0.203785i 0.210168 0.977665i \(-0.432599\pi\)
−0.633332 + 0.773880i \(0.718313\pi\)
\(458\) 40035.8 175408.i 0.00891835 0.0390739i
\(459\) −7.13987e6 8.95312e6i −1.58183 1.98355i
\(460\) 2.66636e6 1.28405e6i 0.587522 0.282936i
\(461\) 3.79880e6 + 4.76355e6i 0.832519 + 1.04395i 0.998329 + 0.0577886i \(0.0184049\pi\)
−0.165809 + 0.986158i \(0.553024\pi\)
\(462\) 41502.0 + 181832.i 0.00904617 + 0.0396338i
\(463\) 1.97653e6 + 951845.i 0.428499 + 0.206354i 0.635687 0.771947i \(-0.280717\pi\)
−0.207188 + 0.978301i \(0.566431\pi\)
\(464\) 1.34065e6 + 5.87378e6i 0.289082 + 1.26655i
\(465\) 5.99064e6 2.88494e6i 1.28482 0.618735i
\(466\) 278031. 0.0593102
\(467\) −2.60220e6 −0.552139 −0.276069 0.961138i \(-0.589032\pi\)
−0.276069 + 0.961138i \(0.589032\pi\)
\(468\) −1.44617e7 + 6.96441e6i −3.05215 + 1.46984i
\(469\) 147651. 646900.i 0.0309958 0.135802i
\(470\) −88542.0 + 111028.i −0.0184886 + 0.0231840i
\(471\) 4.42166e6 + 5.54458e6i 0.918402 + 1.15164i
\(472\) 86406.9 0.0178523
\(473\) −4.90386e6 + 2.46302e6i −1.00783 + 0.506192i
\(474\) −579782. −0.118527
\(475\) −1.29863e6 1.62843e6i −0.264089 0.331157i
\(476\) −1.58837e6 + 1.99175e6i −0.321318 + 0.402920i
\(477\) 2.12277e6 9.30048e6i 0.427177 1.87158i
\(478\) 85702.8 41272.3i 0.0171564 0.00826207i
\(479\) −3.32071e6 −0.661290 −0.330645 0.943755i \(-0.607266\pi\)
−0.330645 + 0.943755i \(0.607266\pi\)
\(480\) −1.01080e6 −0.200245
\(481\) −652643. + 314296.i −0.128621 + 0.0619408i
\(482\) 20846.4 + 91334.2i 0.00408709 + 0.0179067i
\(483\) 2.85414e6 + 1.37448e6i 0.556681 + 0.268084i
\(484\) 310989. + 1.36253e6i 0.0603436 + 0.264383i
\(485\) 1.60355e6 + 2.01079e6i 0.309548 + 0.388161i
\(486\) 76480.1 36830.9i 0.0146878 0.00707329i
\(487\) −1.05669e6 1.32504e6i −0.201894 0.253168i 0.670569 0.741847i \(-0.266050\pi\)
−0.872463 + 0.488680i \(0.837479\pi\)
\(488\) 69787.6 305760.i 0.0132657 0.0581207i
\(489\) 1.00829e7 + 4.85566e6i 1.90683 + 0.918282i
\(490\) 155202. + 74741.5i 0.0292017 + 0.0140628i
\(491\) −1.43463e6 + 1.79897e6i −0.268557 + 0.336760i −0.897763 0.440479i \(-0.854809\pi\)
0.629206 + 0.777239i \(0.283380\pi\)
\(492\) 2.02066e6 8.85309e6i 0.376340 1.64885i
\(493\) 2.09636e6 + 9.18476e6i 0.388462 + 1.70196i
\(494\) −257240. + 322569.i −0.0474265 + 0.0594709i
\(495\) 5.75927e6 7.22190e6i 1.05646 1.32476i
\(496\) −1.36181e6 5.96648e6i −0.248549 1.08896i
\(497\) 211230. 925457.i 0.0383587 0.168060i
\(498\) 163904. 205530.i 0.0296154 0.0371365i
\(499\) 9.41104e6 + 4.53212e6i 1.69195 + 0.814798i 0.995241 + 0.0974394i \(0.0310652\pi\)
0.696704 + 0.717359i \(0.254649\pi\)
\(500\) −5.35967e6 2.58108e6i −0.958767 0.461718i
\(501\) −1.31289e6 + 5.75217e6i −0.233688 + 1.02385i
\(502\) 323925. + 406189.i 0.0573701 + 0.0719398i
\(503\) −476583. + 229510.i −0.0839883 + 0.0404466i −0.475406 0.879766i \(-0.657699\pi\)
0.391418 + 0.920213i \(0.371985\pi\)
\(504\) −303773. 380920.i −0.0532689 0.0667970i
\(505\) −731194. 3.20357e6i −0.127586 0.558992i
\(506\) −280949. 135298.i −0.0487810 0.0234917i
\(507\) 3.74749e6 + 1.64188e7i 0.647472 + 2.83676i
\(508\) 6.25203e6 3.01082e6i 1.07488 0.517637i
\(509\) 4.97331e6 0.850846 0.425423 0.904995i \(-0.360125\pi\)
0.425423 + 0.904995i \(0.360125\pi\)
\(510\) −524392. −0.0892751
\(511\) −2.89083e6 + 1.39215e6i −0.489745 + 0.235849i
\(512\) −345360. + 1.51312e6i −0.0582234 + 0.255093i
\(513\) −6.23963e6 + 7.82425e6i −1.04680 + 1.31265i
\(514\) −269965. 338525.i −0.0450712 0.0565175i
\(515\) −4.81339e6 −0.799711
\(516\) 6.46511e6 8.38994e6i 1.06894 1.38719i
\(517\) −5.32771e6 −0.876626
\(518\) −6844.87 8583.20i −0.00112083 0.00140548i
\(519\) −1.08556e7 + 1.36125e7i −1.76903 + 2.21829i
\(520\) −170404. + 746587.i −0.0276357 + 0.121080i
\(521\) 2.29857e6 1.10693e6i 0.370992 0.178660i −0.239092 0.970997i \(-0.576850\pi\)
0.610084 + 0.792337i \(0.291136\pi\)
\(522\) −899608. −0.144503
\(523\) 9.05158e6 1.44701 0.723503 0.690321i \(-0.242531\pi\)
0.723503 + 0.690321i \(0.242531\pi\)
\(524\) −6.55142e6 + 3.15500e6i −1.04233 + 0.501962i
\(525\) −459771. 2.01439e6i −0.0728020 0.318966i
\(526\) 370126. + 178243.i 0.0583291 + 0.0280898i
\(527\) −2.12945e6 9.32971e6i −0.333995 1.46333i
\(528\) −7.84433e6 9.83647e6i −1.22453 1.53552i
\(529\) 1.02703e6 494589.i 0.159567 0.0768432i
\(530\) −141684. 177666.i −0.0219094 0.0274735i
\(531\) 508951. 2.22986e6i 0.0783320 0.343195i
\(532\) 2.00586e6 + 965972.i 0.307271 + 0.147974i
\(533\) −9.30186e6 4.47954e6i −1.41825 0.682992i
\(534\) 637109. 798909.i 0.0966853 0.121240i
\(535\) −579320. + 2.53817e6i −0.0875052 + 0.383385i
\(536\) −56184.3 246160.i −0.00844701 0.0370088i
\(537\) 4.53596e6 5.68792e6i 0.678788 0.851173i
\(538\) 36303.0 45522.5i 0.00540738 0.00678064i
\(539\) 1.43807e6 + 6.30059e6i 0.213210 + 0.934135i
\(540\) −2.06376e6 + 9.04194e6i −0.304562 + 1.33437i
\(541\) 305119. 382607.i 0.0448204 0.0562030i −0.758916 0.651188i \(-0.774271\pi\)
0.803737 + 0.594985i \(0.202842\pi\)
\(542\) −531088. 255759.i −0.0776549 0.0373966i
\(543\) 1.59448e7 + 7.67859e6i 2.32070 + 1.11759i
\(544\) −323718. + 1.41830e6i −0.0468997 + 0.205481i
\(545\) −440458. 552317.i −0.0635204 0.0796521i
\(546\) −368752. + 177582.i −0.0529362 + 0.0254927i
\(547\) 4.05948e6 + 5.09042e6i 0.580098 + 0.727420i 0.982130 0.188206i \(-0.0602671\pi\)
−0.402031 + 0.915626i \(0.631696\pi\)
\(548\) 2.45351e6 + 1.07495e7i 0.349008 + 1.52910i
\(549\) −7.47952e6 3.60195e6i −1.05911 0.510043i
\(550\) 45257.9 + 198288.i 0.00637951 + 0.0279505i
\(551\) 7.41777e6 3.57221e6i 1.04086 0.501254i
\(552\) 1.20544e6 0.168382
\(553\) 3.55701e6 0.494620
\(554\) 9993.92 4812.82i 0.00138344 0.000666232i
\(555\) −179041. + 784430.i −0.0246729 + 0.108099i
\(556\) −7.44407e6 + 9.33457e6i −1.02123 + 1.28058i
\(557\) 202719. + 254202.i 0.0276858 + 0.0347169i 0.795482 0.605978i \(-0.207218\pi\)
−0.767796 + 0.640695i \(0.778646\pi\)
\(558\) 913806. 0.124242
\(559\) −7.66408e6 9.28876e6i −1.03736 1.25727i
\(560\) 2.05743e6 0.277240
\(561\) −1.22661e7 1.53812e7i −1.64550 2.06340i
\(562\) −61455.5 + 77062.7i −0.00820767 + 0.0102921i
\(563\) −562785. + 2.46572e6i −0.0748293 + 0.327849i −0.998463 0.0554286i \(-0.982347\pi\)
0.923633 + 0.383277i \(0.125205\pi\)
\(564\) 9.26485e6 4.46172e6i 1.22642 0.590615i
\(565\) −5.38438e6 −0.709602
\(566\) 396108. 0.0519724
\(567\) −3.36934e6 + 1.62259e6i −0.440137 + 0.211959i
\(568\) −80377.5 352157.i −0.0104535 0.0458000i
\(569\) −6.77336e6 3.26188e6i −0.877048 0.422364i −0.0595029 0.998228i \(-0.518952\pi\)
−0.817546 + 0.575864i \(0.804666\pi\)
\(570\) 101975. + 446783.i 0.0131464 + 0.0575983i
\(571\) 1.61756e6 + 2.02835e6i 0.207620 + 0.260347i 0.874728 0.484613i \(-0.161040\pi\)
−0.667108 + 0.744961i \(0.732468\pi\)
\(572\) −1.29241e7 + 6.22390e6i −1.65161 + 0.795376i
\(573\) −5.90879e6 7.40938e6i −0.751816 0.942748i
\(574\) 34817.8 152547.i 0.00441084 0.0193251i
\(575\) 3.11243e6 + 1.49887e6i 0.392581 + 0.189057i
\(576\) 1.47013e7 + 7.07975e6i 1.84628 + 0.889123i
\(577\) 9.33960e6 1.17115e7i 1.16785 1.46444i 0.309863 0.950781i \(-0.399717\pi\)
0.857992 0.513662i \(-0.171712\pi\)
\(578\) −73356.3 + 321395.i −0.00913309 + 0.0400147i
\(579\) −3.13299e6 1.37265e7i −0.388385 1.70162i
\(580\) 4.75721e6 5.96535e6i 0.587195 0.736319i
\(581\) −1.00557e6 + 1.26094e6i −0.123586 + 0.154972i
\(582\) 116391. + 509943.i 0.0142434 + 0.0624043i
\(583\) 1.89706e6 8.31157e6i 0.231159 1.01277i
\(584\) −761240. + 954565.i −0.0923612 + 0.115817i
\(585\) 1.82631e7 + 8.79504e6i 2.20640 + 1.06255i
\(586\) 520518. + 250668.i 0.0626170 + 0.0301547i
\(587\) 780986. 3.42172e6i 0.0935509 0.409873i −0.906370 0.422486i \(-0.861158\pi\)
0.999920 + 0.0126125i \(0.00401479\pi\)
\(588\) −7.77725e6 9.75237e6i −0.927647 1.16323i
\(589\) −7.53484e6 + 3.62859e6i −0.894923 + 0.430972i
\(590\) −33969.7 42596.6i −0.00401755 0.00503785i
\(591\) 745290. + 3.26533e6i 0.0877722 + 0.384555i
\(592\) 667227. + 321319.i 0.0782473 + 0.0376819i
\(593\) −980240. 4.29471e6i −0.114471 0.501531i −0.999361 0.0357313i \(-0.988624\pi\)
0.884890 0.465799i \(-0.154233\pi\)
\(594\) 880455. 424005.i 0.102386 0.0493066i
\(595\) 3.21718e6 0.372549
\(596\) 8.56844e6 0.988066
\(597\) −1.09670e7 + 5.28142e6i −1.25936 + 0.606478i
\(598\) 152270. 667138.i 0.0174125 0.0762891i
\(599\) 2.33891e6 2.93290e6i 0.266346 0.333987i −0.630616 0.776095i \(-0.717198\pi\)
0.896962 + 0.442108i \(0.145769\pi\)
\(600\) −490207. 614701.i −0.0555907 0.0697085i
\(601\) −1.67190e6 −0.188809 −0.0944045 0.995534i \(-0.530095\pi\)
−0.0944045 + 0.995534i \(0.530095\pi\)
\(602\) 111400. 144566.i 0.0125283 0.0162583i
\(603\) −6.68345e6 −0.748527
\(604\) 950877. + 1.19236e6i 0.106055 + 0.132989i
\(605\) 1.10042e6 1.37988e6i 0.122227 0.153268i
\(606\) 148706. 651525.i 0.0164493 0.0720691i
\(607\) 5.20966e6 2.50884e6i 0.573902 0.276376i −0.124339 0.992240i \(-0.539681\pi\)
0.698240 + 0.715863i \(0.253967\pi\)
\(608\) 1.27135e6 0.139478
\(609\) 8.16731e6 0.892351
\(610\) −178169. + 85801.5i −0.0193868 + 0.00933620i
\(611\) −2.60158e6 1.13983e7i −0.281925 1.23520i
\(612\) 2.31190e7 + 1.11335e7i 2.49511 + 1.20158i
\(613\) −3.02094e6 1.32356e7i −0.324706 1.42263i −0.829072 0.559142i \(-0.811131\pi\)
0.504366 0.863490i \(-0.331726\pi\)
\(614\) −117501. 147341.i −0.0125782 0.0157726i
\(615\) −1.03320e7 + 4.97564e6i −1.10153 + 0.530470i
\(616\) −271474. 340417.i −0.0288254 0.0361460i
\(617\) −723003. + 3.16768e6i −0.0764587 + 0.334987i −0.998662 0.0517187i \(-0.983530\pi\)
0.922203 + 0.386706i \(0.126387\pi\)
\(618\) −881977. 424738.i −0.0928936 0.0447352i
\(619\) −5.15625e6 2.48312e6i −0.540888 0.260478i 0.143431 0.989660i \(-0.454186\pi\)
−0.684320 + 0.729182i \(0.739901\pi\)
\(620\) −4.83229e6 + 6.05950e6i −0.504863 + 0.633078i
\(621\) 3.69347e6 1.61821e7i 0.384331 1.68386i
\(622\) 142441. + 624074.i 0.0147624 + 0.0646785i
\(623\) −3.90871e6 + 4.90137e6i −0.403472 + 0.505938i
\(624\) 1.72140e7 2.15857e7i 1.76978 2.21924i
\(625\) 627874. + 2.75090e6i 0.0642943 + 0.281692i
\(626\) 166849. 731014.i 0.0170172 0.0745573i
\(627\) −1.07195e7 + 1.34418e7i −1.08894 + 1.36549i
\(628\) −7.44776e6 3.58665e6i −0.753575 0.362903i
\(629\) 1.04333e6 + 502444.i 0.105147 + 0.0506361i
\(630\) −68360.5 + 299507.i −0.00686205 + 0.0300646i
\(631\) −4.00878e6 5.02685e6i −0.400810 0.502600i 0.539939 0.841704i \(-0.318447\pi\)
−0.940749 + 0.339104i \(0.889876\pi\)
\(632\) 1.21948e6 587270.i 0.121446 0.0584851i
\(633\) 1.23737e7 + 1.55161e7i 1.22741 + 1.53912i
\(634\) −106917. 468435.i −0.0105639 0.0462835i
\(635\) −7.89540e6 3.80223e6i −0.777034 0.374200i
\(636\) 3.66159e6 + 1.60425e7i 0.358944 + 1.57264i
\(637\) −1.27775e7 + 6.15330e6i −1.24766 + 0.600841i
\(638\) −803955. −0.0781951
\(639\) −9.56137e6 −0.926334
\(640\) 1.41471e6 681290.i 0.136527 0.0657479i
\(641\) 79338.8 347606.i 0.00762677 0.0334151i −0.970971 0.239196i \(-0.923116\pi\)
0.978598 + 0.205781i \(0.0659734\pi\)
\(642\) −330121. + 413959.i −0.0316108 + 0.0396387i
\(643\) 1.09223e7 + 1.36961e7i 1.04180 + 1.30638i 0.950556 + 0.310553i \(0.100514\pi\)
0.0912483 + 0.995828i \(0.470914\pi\)
\(644\) −3.69254e6 −0.350841
\(645\) −1.33742e7 + 222787.i −1.26581 + 0.0210858i
\(646\) 659564. 0.0621835
\(647\) 1.14305e6 + 1.43334e6i 0.107351 + 0.134613i 0.832604 0.553868i \(-0.186849\pi\)
−0.725254 + 0.688482i \(0.758277\pi\)
\(648\) −887247. + 1.11257e6i −0.0830055 + 0.104086i
\(649\) 454835. 1.99276e6i 0.0423879 0.185713i
\(650\) −402123. + 193652.i −0.0373315 + 0.0179779i
\(651\) −8.29621e6 −0.767233
\(652\) −1.30447e7 −1.20176
\(653\) 5.06924e6 2.44121e6i 0.465221 0.224039i −0.186563 0.982443i \(-0.559735\pi\)
0.651784 + 0.758404i \(0.274021\pi\)
\(654\) −31970.0 140070.i −0.00292279 0.0128056i
\(655\) 8.27349e6 + 3.98430e6i 0.753504 + 0.362868i
\(656\) 2.34871e6 + 1.02904e7i 0.213093 + 0.933621i
\(657\) 2.01501e7 + 2.52675e7i 1.82123 + 2.28375i
\(658\) 159642. 76879.3i 0.0143741 0.00692221i
\(659\) 4.62803e6 + 5.80336e6i 0.415128 + 0.520554i 0.944800 0.327648i \(-0.106256\pi\)
−0.529671 + 0.848203i \(0.677685\pi\)
\(660\) −3.54548e6 + 1.55338e7i −0.316822 + 1.38809i
\(661\) −5.27401e6 2.53983e6i −0.469501 0.226100i 0.184146 0.982899i \(-0.441048\pi\)
−0.653648 + 0.756799i \(0.726762\pi\)
\(662\) −168714. 81248.4i −0.0149626 0.00720560i
\(663\) 2.69173e7 3.37532e7i 2.37820 2.98217i
\(664\) −136563. + 598320.i −0.0120202 + 0.0526639i
\(665\) −625627. 2.74105e6i −0.0548607 0.240360i
\(666\) −68944.8 + 86454.0i −0.00602304 + 0.00755266i
\(667\) −8.51387e6 + 1.06761e7i −0.740990 + 0.929172i
\(668\) −1.53035e6 6.70489e6i −0.132693 0.581367i
\(669\) −7.76828e6 + 3.40351e7i −0.671057 + 2.94009i
\(670\) −99263.0 + 124472.i −0.00854280 + 0.0107123i
\(671\) −6.68424e6 3.21896e6i −0.573120 0.276000i
\(672\) 1.13629e6 + 547210.i 0.0970660 + 0.0467445i
\(673\) −1.28449e6 + 5.62772e6i −0.109318 + 0.478955i 0.890399 + 0.455181i \(0.150425\pi\)
−0.999717 + 0.0237740i \(0.992432\pi\)
\(674\) −34645.2 43443.7i −0.00293760 0.00368364i
\(675\) −9.75392e6 + 4.69724e6i −0.823986 + 0.396811i
\(676\) −1.22394e7 1.53477e7i −1.03013 1.29174i
\(677\) −2.06192e6 9.03387e6i −0.172902 0.757534i −0.984794 0.173726i \(-0.944419\pi\)
0.811892 0.583808i \(-0.198438\pi\)
\(678\) −986602. 475122.i −0.0824266 0.0396946i
\(679\) −714069. 3.12854e6i −0.0594382 0.260416i
\(680\) 1.10297e6 531165.i 0.0914731 0.0440511i
\(681\) −2.87523e7 −2.37577
\(682\) 816643. 0.0672312
\(683\) 2.01892e6 972259.i 0.165602 0.0797499i −0.349246 0.937031i \(-0.613562\pi\)
0.514849 + 0.857281i \(0.327848\pi\)
\(684\) 4.98997e6 2.18625e7i 0.407810 1.78673i
\(685\) 8.68158e6 1.08864e7i 0.706923 0.886454i
\(686\) −291745. 365837.i −0.0236697 0.0296809i
\(687\) 1.64528e7 1.32999
\(688\) −2.53927e6 + 1.20468e7i −0.204521 + 0.970285i
\(689\) 1.87084e7 1.50137
\(690\) −473901. 594253.i −0.0378935 0.0475170i
\(691\) −8.67821e6 + 1.08821e7i −0.691409 + 0.866999i −0.996349 0.0853722i \(-0.972792\pi\)
0.304940 + 0.952371i \(0.401363\pi\)
\(692\) 4.51602e6 1.97860e7i 0.358501 1.57069i
\(693\) −1.03840e7 + 5.00067e6i −0.821356 + 0.395544i
\(694\) −11602.9 −0.000914465
\(695\) 1.50777e7 1.18406
\(696\) 2.80007e6 1.34844e6i 0.219102 0.105514i
\(697\) 3.67264e6 + 1.60909e7i 0.286350 + 1.25458i
\(698\) 100537. + 48416.0i 0.00781064 + 0.00376140i
\(699\) 5.65753e6 + 2.47872e7i 0.437959 + 1.91882i
\(700\) 1.50162e6 + 1.88297e6i 0.115828 + 0.145244i
\(701\) 1.35099e6 650602.i 0.103838 0.0500058i −0.381244 0.924475i \(-0.624504\pi\)
0.485082 + 0.874469i \(0.338790\pi\)
\(702\) 1.33707e6 + 1.67663e6i 0.102402 + 0.128408i
\(703\) 225192. 986631.i 0.0171856 0.0752951i
\(704\) 1.31381e7 + 6.32698e6i 0.999082 + 0.481132i
\(705\) −1.17002e7 5.63450e6i −0.886582 0.426955i
\(706\) −757245. + 949555.i −0.0571774 + 0.0716982i
\(707\) −912324. + 3.99715e6i −0.0686437 + 0.300748i
\(708\) 877893. + 3.84630e6i 0.0658201 + 0.288377i
\(709\) 1.63300e7 2.04771e7i 1.22003 1.52987i 0.448344 0.893861i \(-0.352014\pi\)
0.771684 0.636006i \(-0.219414\pi\)
\(710\) −142006. + 178070.i −0.0105721 + 0.0132570i
\(711\) −7.97245e6 3.49296e7i −0.591450 2.59131i
\(712\) −530829. + 2.32571e6i −0.0392423 + 0.171932i
\(713\) 8.64824e6 1.08445e7i 0.637094 0.798891i
\(714\) 589498. + 283887.i 0.0432749 + 0.0208401i
\(715\) 1.63212e7 + 7.85987e6i 1.19395 + 0.574977i
\(716\) −1.88700e6 + 8.26748e6i −0.137559 + 0.602685i
\(717\) 5.42346e6 + 6.80080e6i 0.393984 + 0.494040i
\(718\) −412509. + 198654.i −0.0298622 + 0.0143809i
\(719\) −6.67977e6 8.37617e6i −0.481881 0.604259i 0.480155 0.877184i \(-0.340581\pi\)
−0.962035 + 0.272924i \(0.912009\pi\)
\(720\) −4.61140e6 2.02039e7i −0.331514 1.45246i
\(721\) 5.41099e6 + 2.60580e6i 0.387649 + 0.186682i
\(722\) 36687.2 + 160737.i 0.00261922 + 0.0114756i
\(723\) −7.71849e6 + 3.71703e6i −0.549144 + 0.264454i
\(724\) −2.06285e7 −1.46259
\(725\) 8.90643e6 0.629301
\(726\) 323395. 155739.i 0.0227715 0.0109662i
\(727\) −1.13590e6 + 4.97669e6i −0.0797082 + 0.349224i −0.999018 0.0443106i \(-0.985891\pi\)
0.919310 + 0.393535i \(0.128748\pi\)
\(728\) 595735. 747029.i 0.0416606 0.0522407i
\(729\) −6.42876e6 8.06141e6i −0.448032 0.561814i
\(730\) 769850. 0.0534686
\(731\) −3.97062e6 + 1.88374e7i −0.274831 + 1.30385i
\(732\) 1.43196e7 0.987762
\(733\) −2.29802e6 2.88162e6i −0.157977 0.198097i 0.696544 0.717515i \(-0.254720\pi\)
−0.854520 + 0.519418i \(0.826149\pi\)
\(734\) 730385. 915874.i 0.0500394 0.0627474i
\(735\) −3.50527e6 + 1.53576e7i −0.239333 + 1.04859i
\(736\) −1.89980e6 + 914897.i −0.129275 + 0.0622555i
\(737\) −5.97281e6 −0.405051
\(738\) −1.57604e6 −0.106519
\(739\) −811883. + 390982.i −0.0546868 + 0.0263358i −0.461027 0.887386i \(-0.652519\pi\)
0.406341 + 0.913722i \(0.366805\pi\)
\(740\) −208695. 914354.i −0.0140098 0.0613811i
\(741\) −3.39923e7 1.63698e7i −2.27423 1.09521i
\(742\) 63092.4 + 276426.i 0.00420695 + 0.0184319i
\(743\) −4.35015e6 5.45491e6i −0.289089 0.362507i 0.615987 0.787757i \(-0.288758\pi\)
−0.905076 + 0.425250i \(0.860186\pi\)
\(744\) −2.84426e6 + 1.36972e6i −0.188381 + 0.0907195i
\(745\) −6.74659e6 8.45996e6i −0.445342 0.558441i
\(746\) 56998.7 249728.i 0.00374989 0.0164293i
\(747\) 1.46362e7 + 7.04840e6i 0.959678 + 0.462156i
\(748\) 2.06608e7 + 9.94970e6i 1.35018 + 0.650214i
\(749\) 2.02532e6 2.53967e6i 0.131913 0.165414i
\(750\) −339976. + 1.48953e6i −0.0220697 + 0.0966935i
\(751\) 872265. + 3.82164e6i 0.0564350 + 0.247258i 0.995275 0.0970955i \(-0.0309552\pi\)
−0.938840 + 0.344354i \(0.888098\pi\)
\(752\) −7.45235e6 + 9.34495e6i −0.480561 + 0.602605i
\(753\) −2.96215e7 + 3.71442e7i −1.90379 + 2.38728i
\(754\) −392580. 1.72001e6i −0.0251478 0.110180i
\(755\) 428568. 1.87768e6i 0.0273623 0.119882i
\(756\) 7.21497e6 9.04729e6i 0.459124 0.575724i
\(757\) −1.88255e7 9.06590e6i −1.19401 0.575005i −0.272047 0.962284i \(-0.587701\pi\)
−0.921962 + 0.387279i \(0.873415\pi\)
\(758\) 417842. + 201222.i 0.0264143 + 0.0127205i
\(759\) 6.34527e6 2.78004e7i 0.399802 1.75165i