Properties

Label 43.6.e.a.4.10
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 4.10
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.10

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.186655 0.234058i 0.0329962 0.0413760i −0.765060 0.643959i \(-0.777291\pi\)
0.798056 + 0.602584i \(0.205862\pi\)
\(3\) −17.0687 21.4035i −1.09496 1.37304i −0.921584 0.388179i \(-0.873104\pi\)
−0.173375 0.984856i \(-0.555467\pi\)
\(4\) 7.10073 + 31.1103i 0.221898 + 0.972197i
\(5\) −36.3074 17.4847i −0.649486 0.312776i 0.0799764 0.996797i \(-0.474516\pi\)
−0.729463 + 0.684021i \(0.760230\pi\)
\(6\) −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 0.679656 + 0.733531i \(0.262129\pi\)
−0.930616 + 0.365997i \(0.880728\pi\)
\(12\) 544.669 682.994i 1.09189 1.36919i
\(13\) 894.852 + 430.938i 1.46856 + 0.707223i 0.985706 0.168476i \(-0.0538844\pi\)
0.482858 + 0.875699i \(0.339599\pi\)
\(14\) 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 −0.923830 0.382804i \(-0.874959\pi\)
−0.276711 + 0.960953i \(0.589244\pi\)
\(18\) 94.5316 + 118.539i 0.0687695 + 0.0862342i
\(19\) −308.765 1352.79i −0.196221 0.859698i −0.973161 0.230125i \(-0.926087\pi\)
0.776941 0.629574i \(-0.216771\pi\)
\(20\) 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 0.767949 + 0.640511i \(0.221278\pi\)
−0.969805 + 0.243880i \(0.921580\pi\)
\(24\) −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 0.182311 + 0.983241i \(0.441642\pi\)
−0.999157 + 0.0410519i \(0.986929\pi\)
\(30\) 297.561 + 143.298i 0.0603634 + 0.0290695i
\(31\) 3757.82 4712.16i 0.702314 0.880674i −0.294880 0.955534i \(-0.595280\pi\)
0.997194 + 0.0748599i \(0.0238510\pi\)
\(32\) −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 −0.985708 0.168464i \(-0.946119\pi\)
0.383580 + 0.923507i \(0.374691\pi\)
\(42\) −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 0.984769 + 0.173870i \(0.0556273\pi\)
−0.811806 + 0.583927i \(0.801516\pi\)
\(48\) 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 0.0298097 0.999556i \(-0.490510\pi\)
0.800070 + 0.599907i \(0.204796\pi\)
\(54\) 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 −0.356246 0.934392i \(-0.615943\pi\)
0.508422 + 0.861108i \(0.330229\pi\)
\(60\) −31717.5 + 15274.3i −1.13742 + 0.547752i
\(61\) 10220.1 + 12815.6i 0.351667 + 0.440976i 0.925930 0.377694i \(-0.123283\pi\)
−0.574264 + 0.818670i \(0.694712\pi\)
\(62\) −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 0.999039 0.0438310i \(-0.0139563\pi\)
−0.919121 + 0.393976i \(0.871099\pi\)
\(68\) −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 1.00000 0.000296456i \(-9.43650e-5\pi\)
−0.901097 + 0.433617i \(0.857237\pi\)
\(72\) −6041.55 + 7575.86i −0.137346 + 0.172227i
\(73\) −57493.8 27687.5i −1.26274 0.608103i −0.321841 0.946794i \(-0.604302\pi\)
−0.940898 + 0.338690i \(0.890016\pi\)
\(74\) −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 0.596549 0.802577i \(-0.296538\pi\)
−0.915199 + 0.403002i \(0.867967\pi\)
\(84\) 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 −0.951236 0.308464i \(-0.900185\pi\)
−0.0890600 0.996026i \(-0.528386\pi\)
\(90\) −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 0.838674 + 0.544634i \(0.183331\pi\)
−0.991927 + 0.126812i \(0.959526\pi\)
\(98\) −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 −0.983010 0.183550i \(-0.941241\pi\)
0.806022 0.591885i \(-0.201616\pi\)
\(102\) 11724.1 5646.04i 0.111578 0.0537333i
\(103\) 107616. 51825.0i 0.999499 0.481333i 0.138731 0.990330i \(-0.455698\pi\)
0.860768 + 0.508997i \(0.169983\pi\)
\(104\) 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 0.922247 0.386601i \(-0.126351\pi\)
−0.582127 + 0.813098i \(0.697779\pi\)
\(108\) 143494. + 179936.i 1.18379 + 1.48442i
\(109\) 3900.86 17090.8i 0.0314481 0.137783i −0.956767 0.290856i \(-0.906060\pi\)
0.988215 + 0.153073i \(0.0489170\pi\)
\(110\) −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 0.0657464 0.997836i \(-0.479057\pi\)
0.821132 + 0.570738i \(0.193343\pi\)
\(114\) 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 −0.253557 0.967320i \(-0.581601\pi\)
0.999489 + 0.0319509i \(0.0101720\pi\)
\(128\) −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 −0.998522 0.0543489i \(-0.982692\pi\)
0.275178 + 0.961393i \(0.411263\pi\)
\(132\) 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 −0.440529 0.897738i \(-0.645209\pi\)
−0.976545 + 0.215312i \(0.930923\pi\)
\(138\) 4197.05 18388.5i 0.0187606 0.0821955i
\(139\) −337100. + 162339.i −1.47986 + 0.712665i −0.987485 0.157715i \(-0.949587\pi\)
−0.492380 + 0.870380i \(0.663873\pi\)
\(140\) 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 −0.736633 0.676293i \(-0.763585\pi\)
0.957116 0.289706i \(-0.0935575\pi\)
\(150\) 7670.23 + 9618.17i 0.0278343 + 0.0349031i
\(151\) −29798.4 37366.0i −0.106353 0.133363i 0.725806 0.687899i \(-0.241467\pi\)
−0.832159 + 0.554537i \(0.812896\pi\)
\(152\) 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 0.978371 + 0.206856i \(0.0663230\pi\)
−0.791731 + 0.610870i \(0.790820\pi\)
\(158\) 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 0.643977 + 0.765045i \(0.277283\pi\)
−0.912144 + 0.409870i \(0.865574\pi\)
\(164\) −298855. 143921.i −0.867662 0.417844i
\(165\) −499313. −1.42778
\(166\) −9602.61 −0.0270470
\(167\) 194177. + 93510.6i 0.538773 + 0.259459i 0.683422 0.730024i \(-0.260491\pi\)
−0.144649 + 0.989483i \(0.546205\pi\)
\(168\) −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 0.499623 + 0.866243i \(0.333472\pi\)
−0.825994 + 0.563679i \(0.809385\pi\)
\(182\) 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 −0.992068 0.125704i \(-0.959881\pi\)
0.839281 0.543697i \(-0.182976\pi\)
\(192\) −196268. + 859907.i −0.384235 + 1.68344i
\(193\) −320660. 402095.i −0.619658 0.777026i 0.368639 0.929573i \(-0.379824\pi\)
−0.988296 + 0.152547i \(0.951253\pi\)
\(194\) 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 0.846905 0.531744i \(-0.178463\pi\)
−0.706867 + 0.707347i \(0.749892\pi\)
\(198\) −61826.3 + 29774.0i −0.112075 + 0.0539726i
\(199\) 400604. 192921.i 0.717105 0.345339i −0.0394932 0.999220i \(-0.512574\pi\)
0.756598 + 0.653880i \(0.226860\pi\)
\(200\) −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 0.932122 + 0.362144i \(0.117955\pi\)
−0.682685 + 0.730713i \(0.739188\pi\)
\(212\) 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 0.996000 0.0893485i \(-0.0284785\pi\)
0.551141 + 0.834412i \(0.314193\pi\)
\(224\) −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 −0.154113 0.988053i \(-0.549252\pi\)
0.997574 0.0696138i \(-0.0221767\pi\)
\(228\) −1.09212e6 525938.i −1.39134 0.670035i
\(229\) −374711. + 469873.i −0.472181 + 0.592096i −0.959704 0.281014i \(-0.909329\pi\)
0.487523 + 0.873110i \(0.337901\pi\)
\(230\) −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 0.996930 0.0783024i \(-0.0249500\pi\)
−0.298177 + 0.954511i \(0.596379\pi\)
\(234\) 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 0.999054 0.0434927i \(-0.0138485\pi\)
−0.918987 + 0.394288i \(0.870991\pi\)
\(240\) −698434. 875808.i −0.782703 0.981479i
\(241\) 281943. 135776.i 0.312693 0.150585i −0.270955 0.962592i \(-0.587339\pi\)
0.583647 + 0.812007i \(0.301625\pi\)
\(242\) −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 0.894342 0.447385i \(-0.147645\pi\)
0.207833 + 0.978164i \(0.433359\pi\)
\(264\) 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 −0.989883 0.141888i \(-0.954683\pi\)
0.953416 + 0.301658i \(0.0975400\pi\)
\(270\) −54249.6 + 68026.8i −0.0452884 + 0.0567899i
\(271\) −1.77401e6 854320.i −1.46735 0.706639i −0.481841 0.876259i \(-0.660032\pi\)
−0.985509 + 0.169620i \(0.945746\pi\)
\(272\) 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 0.978053 0.208354i \(-0.0668106\pi\)
−0.971597 + 0.236641i \(0.923953\pi\)
\(278\) −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 −0.939683 0.342048i \(-0.888880\pi\)
0.995034 + 0.0995386i \(0.0317367\pi\)
\(282\) −21467.3 94054.4i −0.0160751 0.0704298i
\(283\) 824961. + 1.03447e6i 0.612304 + 0.767805i 0.987239 0.159246i \(-0.0509063\pi\)
−0.374935 + 0.927051i \(0.622335\pi\)
\(284\) −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 0.918841 0.394627i \(-0.129126\pi\)
0.264356 + 0.964425i \(0.414841\pi\)
\(294\) 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 0.226642 0.973978i \(-0.427225\pi\)
0.902796 + 0.430070i \(0.141511\pi\)
\(312\) 115762. 507186.i 0.0673254 0.294972i
\(313\) −1.56161e6 + 1.95820e6i −0.900974 + 1.12979i 0.0900285 + 0.995939i \(0.471304\pi\)
−0.991002 + 0.133846i \(0.957267\pi\)
\(314\) 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 −0.791901 0.610649i \(-0.790909\pi\)
−0.0163176 + 0.999867i \(0.505194\pi\)
\(318\) −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 0.287145 0.957887i \(-0.407294\pi\)
−0.569875 + 0.821732i \(0.693008\pi\)
\(332\) 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 0.776415 0.630221i \(-0.217036\pi\)
−0.787189 + 0.616712i \(0.788464\pi\)
\(348\) 1.15340e6 + 5.05338e6i 0.510543 + 2.23684i
\(349\) 335827. + 161726.i 0.147588 + 0.0710747i 0.506220 0.862404i \(-0.331042\pi\)
−0.358632 + 0.933479i \(0.616757\pi\)
\(350\) −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 −0.293994 0.955807i \(-0.594984\pi\)
0.679588 0.733594i \(-0.262158\pi\)
\(354\) −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 −0.995575 0.0939657i \(-0.970046\pi\)
0.856212 0.516624i \(-0.172812\pi\)
\(360\) 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 0.466879 + 0.884321i \(0.345378\pi\)
−0.804336 + 0.594174i \(0.797479\pi\)
\(368\) −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 −0.871127 0.491058i \(-0.836610\pi\)
0.672590 + 0.740015i \(0.265182\pi\)
\(374\) −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 0.666467 0.745535i \(-0.267806\pi\)
−0.167347 + 0.985898i \(0.553520\pi\)
\(380\) −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 −0.972005 0.234961i \(-0.924504\pi\)
0.773800 0.633429i \(-0.218353\pi\)
\(384\) 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 −0.0774553 + 0.996996i \(0.524680\pi\)
−0.954764 + 0.297366i \(0.903892\pi\)
\(390\) 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 −0.493166 0.869935i \(-0.664160\pi\)
0.372659 + 0.927968i \(0.378446\pi\)
\(398\) 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 −0.951366 0.308063i \(-0.900319\pi\)
0.512038 + 0.858963i \(0.328891\pi\)
\(402\) −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 −0.985608 0.169050i \(-0.945930\pi\)
0.0545069 0.998513i \(-0.482641\pi\)
\(410\) 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 0.844568 + 0.535448i \(0.179857\pi\)
−0.993252 + 0.115977i \(0.963000\pi\)
\(420\) −1.59478e6 + 768004.i −0.441140 + 0.212442i
\(421\) −323429. + 1.41703e6i −0.0889351 + 0.389650i −0.999731 0.0232075i \(-0.992612\pi\)
0.910796 + 0.412858i \(0.135469\pi\)
\(422\) 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 0.854982 0.518658i \(-0.173568\pi\)
−0.695905 + 0.718134i \(0.744997\pi\)
\(434\) −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 −0.523865 0.851801i \(-0.675510\pi\)
0.841569 0.540150i \(-0.181632\pi\)
\(440\) 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 0.612537 0.790442i \(-0.290149\pi\)
−0.236082 + 0.971733i \(0.575863\pi\)
\(444\) −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 0.951841 + 0.306592i \(0.0991888\pi\)
−0.724554 + 0.689218i \(0.757954\pi\)
\(450\) 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 −0.633332 0.773880i \(-0.718313\pi\)
0.210168 + 0.977665i \(0.432599\pi\)
\(458\) 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 −0.165809 0.986158i \(-0.553024\pi\)
0.998329 0.0577886i \(-0.0184049\pi\)
\(462\) 41502.0 181832.i 0.00904617 0.0396338i
\(463\) 1.97653e6 951845.i 0.428499 0.206354i −0.207188 0.978301i \(-0.566431\pi\)
0.635687 + 0.771947i \(0.280717\pi\)
\(464\) 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 −0.872463 0.488680i \(-0.837479\pi\)
0.670569 + 0.741847i \(0.266050\pi\)
\(488\) 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 0.629206 0.777239i \(-0.283380\pi\)
−0.897763 + 0.440479i \(0.854809\pi\)
\(492\) 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 0.696704 0.717359i \(-0.254649\pi\)
0.995241 0.0974394i \(-0.0310652\pi\)
\(500\) −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 0.391418 0.920213i \(-0.371985\pi\)
−0.475406 + 0.879766i \(0.657699\pi\)
\(504\) −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 0.610084 0.792337i \(-0.291136\pi\)
−0.239092 + 0.970997i \(0.576850\pi\)
\(522\) −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 0.803737 0.594985i \(-0.202842\pi\)
−0.758916 + 0.651188i \(0.774271\pi\)
\(542\) −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 −0.402031 0.915626i \(-0.631696\pi\)
0.982130 + 0.188206i \(0.0602671\pi\)
\(548\) 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 −0.767796 0.640695i \(-0.778646\pi\)
0.795482 + 0.605978i \(0.207218\pi\)
\(558\) 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 0.923633 0.383277i \(-0.125205\pi\)
−0.998463 + 0.0554286i \(0.982347\pi\)
\(564\) 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 −0.817546 0.575864i \(-0.804666\pi\)
−0.0595029 + 0.998228i \(0.518952\pi\)
\(570\) 101975. 446783.i 0.0131464 0.0575983i
\(571\) 1.61756e6 2.02835e6i 0.207620 0.260347i −0.667108 0.744961i \(-0.732468\pi\)
0.874728 + 0.484613i \(0.161040\pi\)
\(572\) −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 0.857992 + 0.513662i \(0.171712\pi\)
0.309863 + 0.950781i \(0.399717\pi\)
\(578\) −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 0.999920 0.0126125i \(-0.00401479\pi\)
−0.906370 + 0.422486i \(0.861158\pi\)
\(588\) −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 0.884890 + 0.465799i \(0.154233\pi\)
−0.999361 + 0.0357313i \(0.988624\pi\)
\(594\) 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 0.896962 0.442108i \(-0.145769\pi\)
−0.630616 + 0.776095i \(0.717198\pi\)
\(600\) −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 0.698240 0.715863i \(-0.253967\pi\)
−0.124339 + 0.992240i \(0.539681\pi\)
\(608\) 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 0.504366 + 0.863490i \(0.331726\pi\)
−0.829072 + 0.559142i \(0.811131\pi\)
\(614\) −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 0.922203 0.386706i \(-0.126387\pi\)
−0.998662 + 0.0517187i \(0.983530\pi\)
\(618\) −881977. + 424738.i −0.0928936 + 0.0447352i
\(619\) −5.15625e6 + 2.48312e6i −0.540888 + 0.260478i −0.684320 0.729182i \(-0.739901\pi\)
0.143431 + 0.989660i \(0.454186\pi\)
\(620\) −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 −0.940749 0.339104i \(-0.889876\pi\)
0.539939 + 0.841704i \(0.318447\pi\)
\(632\) 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 0.978598 0.205781i \(-0.0659734\pi\)
−0.970971 + 0.239196i \(0.923116\pi\)
\(642\) −330121. 413959.i −0.0316108 0.0396387i
\(643\) 1.09223e7 1.36961e7i 1.04180 1.30638i 0.0912483 0.995828i \(-0.470914\pi\)
0.950556 0.310553i \(-0.100514\pi\)
\(644\) −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 −0.725254 0.688482i \(-0.758277\pi\)
0.832604 + 0.553868i \(0.186849\pi\)
\(648\) −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 0.651784 0.758404i \(-0.274021\pi\)
−0.186563 + 0.982443i \(0.559735\pi\)
\(654\) −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 −0.529671 0.848203i \(-0.677685\pi\)
0.944800 + 0.327648i \(0.106256\pi\)
\(660\) −3.54548e6 1.55338e7i −0.316822 1.38809i
\(661\) −5.27401e6 + 2.53983e6i −0.469501 + 0.226100i −0.653648 0.756799i \(-0.726762\pi\)
0.184146 + 0.982899i \(0.441048\pi\)
\(662\) −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 −0.999717 0.0237740i \(-0.992432\pi\)
0.890399 0.455181i \(-0.150425\pi\)
\(674\) −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 0.811892 + 0.583808i \(0.198438\pi\)
−0.984794 + 0.173726i \(0.944419\pi\)
\(678\) −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 0.514849 0.857281i \(-0.327848\pi\)
−0.349246 + 0.937031i \(0.613562\pi\)
\(684\) 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 0.304940 0.952371i \(-0.401363\pi\)
−0.996349 + 0.0853722i \(0.972792\pi\)
\(692\) 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 0.485082 0.874469i \(-0.338790\pi\)
−0.381244 + 0.924475i \(0.624504\pi\)
\(702\) 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 0.771684 + 0.636006i \(0.219414\pi\)
0.448344 + 0.893861i \(0.352014\pi\)
\(710\) −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 −0.962035 0.272924i \(-0.912009\pi\)
0.480155 + 0.877184i \(0.340581\pi\)
\(720\) −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 0.919310 0.393535i \(-0.128748\pi\)
−0.999018 + 0.0443106i \(0.985891\pi\)
\(728\) 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 −0.854520 0.519418i \(-0.826149\pi\)
0.696544 + 0.717515i \(0.254720\pi\)
\(734\) 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 0.406341 0.913722i \(-0.366805\pi\)
−0.461027 + 0.887386i \(0.652519\pi\)
\(740\) −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 −0.905076 0.425250i \(-0.860186\pi\)
0.615987 + 0.787757i \(0.288758\pi\)
\(744\) −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 −0.938840 0.344354i \(-0.888098\pi\)
0.995275 + 0.0970955i \(0.0309552\pi\)
\(752\) −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 −0.921962 0.387279i \(-0.873415\pi\)
−0.272047 + 0.962284i \(0.587701\pi\)
\(758\) 417842. 201222.i 0.0264143 0.0127205i