Properties

Label 43.6.e.a.4.4
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 4.4
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.84915 + 6.08065i) q^{2} +(1.26806 + 1.59010i) q^{3} +(-6.33931 - 27.7743i) q^{4} +(3.40560 + 1.64005i) q^{5} -15.8178 q^{6} -175.475 q^{7} +(-24.6053 - 11.8493i) q^{8} +(53.1522 - 232.875i) q^{9} +O(q^{10})\) \(q+(-4.84915 + 6.08065i) q^{2} +(1.26806 + 1.59010i) q^{3} +(-6.33931 - 27.7743i) q^{4} +(3.40560 + 1.64005i) q^{5} -15.8178 q^{6} -175.475 q^{7} +(-24.6053 - 11.8493i) q^{8} +(53.1522 - 232.875i) q^{9} +(-26.4869 + 12.7554i) q^{10} +(62.3486 - 273.167i) q^{11} +(36.1252 - 45.2996i) q^{12} +(881.242 + 424.384i) q^{13} +(850.907 - 1067.00i) q^{14} +(1.71067 + 7.49492i) q^{15} +(1012.72 - 487.701i) q^{16} +(-1217.84 + 586.483i) q^{17} +(1158.29 + 1452.45i) q^{18} +(-643.515 - 2819.42i) q^{19} +(23.9622 - 104.985i) q^{20} +(-222.513 - 279.023i) q^{21} +(1358.69 + 1703.75i) q^{22} +(357.493 - 1566.28i) q^{23} +(-12.3595 - 54.1504i) q^{24} +(-1939.50 - 2432.05i) q^{25} +(-6853.81 + 3300.62i) q^{26} +(882.966 - 425.214i) q^{27} +(1112.39 + 4873.71i) q^{28} +(-3940.17 + 4940.81i) q^{29} +(-53.8692 - 25.9420i) q^{30} +(-469.941 + 589.287i) q^{31} +(-1750.84 + 7670.93i) q^{32} +(513.423 - 247.252i) q^{33} +(2339.32 - 10249.2i) q^{34} +(-597.599 - 287.789i) q^{35} -6804.89 q^{36} -10135.0 q^{37} +(20264.4 + 9758.84i) q^{38} +(442.656 + 1939.40i) q^{39} +(-64.3625 - 80.7080i) q^{40} +(6093.87 - 7641.47i) q^{41} +2775.64 q^{42} +(-4966.99 - 11060.6i) q^{43} -7982.27 q^{44} +(562.942 - 705.907i) q^{45} +(7790.46 + 9768.93i) q^{46} +(86.7308 + 379.992i) q^{47} +(2059.68 + 991.890i) q^{48} +13984.6 q^{49} +24193.4 q^{50} +(-2476.86 - 1192.79i) q^{51} +(6200.51 - 27166.2i) q^{52} +(-20695.8 + 9966.56i) q^{53} +(-1696.06 + 7430.93i) q^{54} +(660.342 - 828.043i) q^{55} +(4317.63 + 2079.26i) q^{56} +(3667.14 - 4598.45i) q^{57} +(-10936.9 - 47917.5i) q^{58} +(-23877.0 + 11498.6i) q^{59} +(197.322 - 95.0251i) q^{60} +(-9000.30 - 11286.0i) q^{61} +(-1304.43 - 5715.09i) q^{62} +(-9326.90 + 40863.8i) q^{63} +(-15727.7 - 19722.0i) q^{64} +(2305.15 + 2890.57i) q^{65} +(-986.219 + 4320.91i) q^{66} +(-8744.59 - 38312.5i) q^{67} +(24009.4 + 30106.9i) q^{68} +(2943.86 - 1417.69i) q^{69} +(4647.79 - 2238.26i) q^{70} +(-1262.62 - 5531.90i) q^{71} +(-4067.23 + 5100.14i) q^{72} +(49204.4 + 23695.6i) q^{73} +(49146.4 - 61627.6i) q^{74} +(1407.80 - 6167.97i) q^{75} +(-74228.1 + 35746.4i) q^{76} +(-10940.6 + 47934.1i) q^{77} +(-13939.3 - 6712.83i) q^{78} +56434.9 q^{79} +4248.78 q^{80} +(-50499.9 - 24319.5i) q^{81} +(16915.0 + 74109.3i) q^{82} +(76201.3 + 95553.4i) q^{83} +(-6339.08 + 7948.96i) q^{84} -5109.35 q^{85} +(91341.5 + 23432.2i) q^{86} -12852.7 q^{87} +(-4770.94 + 5982.57i) q^{88} +(-40356.6 - 50605.5i) q^{89} +(1562.58 + 6846.10i) q^{90} +(-154636. - 74468.9i) q^{91} -45768.6 q^{92} -1532.94 q^{93} +(-2731.17 - 1315.26i) q^{94} +(2432.44 - 10657.2i) q^{95} +(-14417.7 + 6943.19i) q^{96} +(11622.9 - 50923.1i) q^{97} +(-67813.6 + 85035.6i) q^{98} +(-60299.7 - 29038.8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.84915 + 6.08065i −0.857218 + 1.07492i 0.139193 + 0.990265i \(0.455549\pi\)
−0.996411 + 0.0846516i \(0.973022\pi\)
\(3\) 1.26806 + 1.59010i 0.0813460 + 0.102005i 0.820839 0.571159i \(-0.193506\pi\)
−0.739493 + 0.673164i \(0.764935\pi\)
\(4\) −6.33931 27.7743i −0.198103 0.867947i
\(5\) 3.40560 + 1.64005i 0.0609213 + 0.0293381i 0.464096 0.885785i \(-0.346379\pi\)
−0.403175 + 0.915123i \(0.632093\pi\)
\(6\) −15.8178 −0.179378
\(7\) −175.475 −1.35354 −0.676770 0.736194i \(-0.736621\pi\)
−0.676770 + 0.736194i \(0.736621\pi\)
\(8\) −24.6053 11.8493i −0.135926 0.0654587i
\(9\) 53.1522 232.875i 0.218733 0.958333i
\(10\) −26.4869 + 12.7554i −0.0837588 + 0.0403361i
\(11\) 62.3486 273.167i 0.155362 0.680685i −0.835911 0.548864i \(-0.815060\pi\)
0.991274 0.131821i \(-0.0420825\pi\)
\(12\) 36.1252 45.2996i 0.0724198 0.0908115i
\(13\) 881.242 + 424.384i 1.44623 + 0.696467i 0.981936 0.189215i \(-0.0605943\pi\)
0.464293 + 0.885682i \(0.346309\pi\)
\(14\) 850.907 1067.00i 1.16028 1.45494i
\(15\) 1.71067 + 7.49492i 0.00196308 + 0.00860079i
\(16\) 1012.72 487.701i 0.988985 0.476270i
\(17\) −1217.84 + 586.483i −1.02204 + 0.492190i −0.868362 0.495930i \(-0.834827\pi\)
−0.153681 + 0.988120i \(0.549113\pi\)
\(18\) 1158.29 + 1452.45i 0.842626 + 1.05662i
\(19\) −643.515 2819.42i −0.408954 1.79175i −0.589050 0.808097i \(-0.700498\pi\)
0.180095 0.983649i \(-0.442359\pi\)
\(20\) 23.9622 104.985i 0.0133953 0.0586884i
\(21\) −222.513 279.023i −0.110105 0.138067i
\(22\) 1358.69 + 1703.75i 0.598501 + 0.750497i
\(23\) 357.493 1566.28i 0.140912 0.617377i −0.854312 0.519761i \(-0.826021\pi\)
0.995224 0.0976160i \(-0.0311217\pi\)
\(24\) −12.3595 54.1504i −0.00437998 0.0191899i
\(25\) −1939.50 2432.05i −0.620639 0.778257i
\(26\) −6853.81 + 3300.62i −1.98838 + 0.957552i
\(27\) 882.966 425.214i 0.233096 0.112253i
\(28\) 1112.39 + 4873.71i 0.268141 + 1.17480i
\(29\) −3940.17 + 4940.81i −0.870001 + 1.09095i 0.125106 + 0.992143i \(0.460073\pi\)
−0.995107 + 0.0988029i \(0.968499\pi\)
\(30\) −53.8692 25.9420i −0.0109279 0.00526261i
\(31\) −469.941 + 589.287i −0.0878292 + 0.110134i −0.823804 0.566874i \(-0.808153\pi\)
0.735975 + 0.677009i \(0.236724\pi\)
\(32\) −1750.84 + 7670.93i −0.302254 + 1.32426i
\(33\) 513.423 247.252i 0.0820712 0.0395234i
\(34\) 2339.32 10249.2i 0.347050 1.52053i
\(35\) −597.599 287.789i −0.0824594 0.0397103i
\(36\) −6804.89 −0.875114
\(37\) −10135.0 −1.21709 −0.608543 0.793521i \(-0.708246\pi\)
−0.608543 + 0.793521i \(0.708246\pi\)
\(38\) 20264.4 + 9758.84i 2.27654 + 1.09632i
\(39\) 442.656 + 1939.40i 0.0466020 + 0.204177i
\(40\) −64.3625 80.7080i −0.00636037 0.00797566i
\(41\) 6093.87 7641.47i 0.566153 0.709933i −0.413529 0.910491i \(-0.635704\pi\)
0.979682 + 0.200558i \(0.0642755\pi\)
\(42\) 2775.64 0.242795
\(43\) −4966.99 11060.6i −0.409659 0.912239i
\(44\) −7982.27 −0.621577
\(45\) 562.942 705.907i 0.0414412 0.0519656i
\(46\) 7790.46 + 9768.93i 0.542836 + 0.680695i
\(47\) 86.7308 + 379.992i 0.00572702 + 0.0250917i 0.977711 0.209957i \(-0.0673323\pi\)
−0.971984 + 0.235048i \(0.924475\pi\)
\(48\) 2059.68 + 991.890i 0.129032 + 0.0621384i
\(49\) 13984.6 0.832071
\(50\) 24193.4 1.36858
\(51\) −2476.86 1192.79i −0.133345 0.0642155i
\(52\) 6200.51 27166.2i 0.317994 1.39322i
\(53\) −20695.8 + 9966.56i −1.01203 + 0.487366i −0.865003 0.501767i \(-0.832684\pi\)
−0.147024 + 0.989133i \(0.546969\pi\)
\(54\) −1696.06 + 7430.93i −0.0791512 + 0.346784i
\(55\) 660.342 828.043i 0.0294349 0.0369102i
\(56\) 4317.63 + 2079.26i 0.183982 + 0.0886010i
\(57\) 3667.14 4598.45i 0.149500 0.187467i
\(58\) −10936.9 47917.5i −0.426897 1.87036i
\(59\) −23877.0 + 11498.6i −0.892997 + 0.430045i −0.823355 0.567527i \(-0.807900\pi\)
−0.0696423 + 0.997572i \(0.522186\pi\)
\(60\) 197.322 95.0251i 0.00707614 0.00340769i
\(61\) −9000.30 11286.0i −0.309694 0.388344i 0.602489 0.798127i \(-0.294176\pi\)
−0.912183 + 0.409783i \(0.865604\pi\)
\(62\) −1304.43 5715.09i −0.0430965 0.188818i
\(63\) −9326.90 + 40863.8i −0.296064 + 1.29714i
\(64\) −15727.7 19722.0i −0.479973 0.601867i
\(65\) 2305.15 + 2890.57i 0.0676730 + 0.0848593i
\(66\) −986.219 + 4320.91i −0.0278685 + 0.122100i
\(67\) −8744.59 38312.5i −0.237986 1.04269i −0.942817 0.333311i \(-0.891834\pi\)
0.704830 0.709376i \(-0.251023\pi\)
\(68\) 24009.4 + 30106.9i 0.629665 + 0.789575i
\(69\) 2943.86 1417.69i 0.0744379 0.0358474i
\(70\) 4647.79 2238.26i 0.113371 0.0545966i
\(71\) −1262.62 5531.90i −0.0297253 0.130235i 0.957888 0.287142i \(-0.0927050\pi\)
−0.987613 + 0.156906i \(0.949848\pi\)
\(72\) −4067.23 + 5100.14i −0.0924628 + 0.115945i
\(73\) 49204.4 + 23695.6i 1.08068 + 0.520428i 0.887534 0.460742i \(-0.152417\pi\)
0.193146 + 0.981170i \(0.438131\pi\)
\(74\) 49146.4 61627.6i 1.04331 1.30827i
\(75\) 1407.80 6167.97i 0.0288993 0.126616i
\(76\) −74228.1 + 35746.4i −1.47413 + 0.709902i
\(77\) −10940.6 + 47934.1i −0.210289 + 0.921335i
\(78\) −13939.3 6712.83i −0.259421 0.124931i
\(79\) 56434.9 1.01737 0.508686 0.860952i \(-0.330131\pi\)
0.508686 + 0.860952i \(0.330131\pi\)
\(80\) 4248.78 0.0742231
\(81\) −50499.9 24319.5i −0.855221 0.411853i
\(82\) 16915.0 + 74109.3i 0.277803 + 1.21713i
\(83\) 76201.3 + 95553.4i 1.21414 + 1.52248i 0.785325 + 0.619083i \(0.212496\pi\)
0.428810 + 0.903395i \(0.358933\pi\)
\(84\) −6339.08 + 7948.96i −0.0980231 + 0.122917i
\(85\) −5109.35 −0.0767041
\(86\) 91341.5 + 23432.2i 1.33175 + 0.341638i
\(87\) −12852.7 −0.182053
\(88\) −4770.94 + 5982.57i −0.0656746 + 0.0823534i
\(89\) −40356.6 50605.5i −0.540056 0.677209i 0.434676 0.900587i \(-0.356863\pi\)
−0.974732 + 0.223378i \(0.928292\pi\)
\(90\) 1562.58 + 6846.10i 0.0203346 + 0.0890917i
\(91\) −154636. 74468.9i −1.95753 0.942696i
\(92\) −45768.6 −0.563766
\(93\) −1532.94 −0.0183788
\(94\) −2731.17 1315.26i −0.0318808 0.0153530i
\(95\) 2432.44 10657.2i 0.0276525 0.121153i
\(96\) −14417.7 + 6943.19i −0.159668 + 0.0768920i
\(97\) 11622.9 50923.1i 0.125425 0.549522i −0.872697 0.488262i \(-0.837631\pi\)
0.998122 0.0612600i \(-0.0195119\pi\)
\(98\) −67813.6 + 85035.6i −0.713266 + 0.894407i
\(99\) −60299.7 29038.8i −0.618340 0.297777i
\(100\) −55253.5 + 69285.7i −0.552535 + 0.692857i
\(101\) 26326.2 + 115343.i 0.256794 + 1.12509i 0.924656 + 0.380803i \(0.124352\pi\)
−0.667862 + 0.744285i \(0.732790\pi\)
\(102\) 19263.6 9276.88i 0.183332 0.0882880i
\(103\) 108696. 52345.3i 1.00953 0.486166i 0.145371 0.989377i \(-0.453562\pi\)
0.864164 + 0.503211i \(0.167848\pi\)
\(104\) −16654.6 20884.2i −0.150991 0.189337i
\(105\) −300.180 1315.17i −0.00265710 0.0116415i
\(106\) 39753.9 174173.i 0.343649 1.50562i
\(107\) 28475.8 + 35707.5i 0.240445 + 0.301509i 0.887382 0.461035i \(-0.152522\pi\)
−0.646937 + 0.762544i \(0.723950\pi\)
\(108\) −17407.4 21828.2i −0.143607 0.180077i
\(109\) −3378.53 + 14802.3i −0.0272371 + 0.119334i −0.986719 0.162437i \(-0.948065\pi\)
0.959482 + 0.281771i \(0.0909217\pi\)
\(110\) 1832.94 + 8030.62i 0.0144433 + 0.0632801i
\(111\) −12851.8 16115.7i −0.0990051 0.124148i
\(112\) −177708. + 85579.5i −1.33863 + 0.644651i
\(113\) −115570. + 55655.7i −0.851432 + 0.410028i −0.808109 0.589033i \(-0.799509\pi\)
−0.0433232 + 0.999061i \(0.513795\pi\)
\(114\) 10179.0 + 44597.2i 0.0733573 + 0.321399i
\(115\) 3786.26 4747.82i 0.0266972 0.0334773i
\(116\) 162206. + 78114.1i 1.11923 + 0.538995i
\(117\) 145668. 182662.i 0.983785 1.23363i
\(118\) 45864.6 200946.i 0.303230 1.32854i
\(119\) 213702. 102913.i 1.38338 0.666199i
\(120\) 46.7180 204.685i 0.000296163 0.00129758i
\(121\) 74369.1 + 35814.3i 0.461774 + 0.222378i
\(122\) 112270. 0.682912
\(123\) 19878.1 0.118471
\(124\) 19346.1 + 9316.61i 0.112990 + 0.0544131i
\(125\) −5244.95 22979.6i −0.0300238 0.131543i
\(126\) −203251. 254868.i −1.14053 1.43018i
\(127\) 67168.9 84227.1i 0.369538 0.463386i −0.561943 0.827176i \(-0.689946\pi\)
0.931481 + 0.363790i \(0.118517\pi\)
\(128\) −55593.8 −0.299917
\(129\) 11289.0 21923.5i 0.0597285 0.115994i
\(130\) −28754.5 −0.149227
\(131\) 156801. 196623.i 0.798310 1.00105i −0.201458 0.979497i \(-0.564568\pi\)
0.999768 0.0215520i \(-0.00686074\pi\)
\(132\) −10122.0 12692.6i −0.0505628 0.0634038i
\(133\) 112921. + 494740.i 0.553536 + 2.42520i
\(134\) 275369. + 132611.i 1.32481 + 0.637994i
\(135\) 3704.40 0.0174938
\(136\) 36914.8 0.171141
\(137\) −216763. 104388.i −0.986697 0.475168i −0.130294 0.991475i \(-0.541592\pi\)
−0.856403 + 0.516307i \(0.827306\pi\)
\(138\) −5654.77 + 24775.2i −0.0252765 + 0.110744i
\(139\) −248715. + 119775.i −1.09186 + 0.525810i −0.891089 0.453829i \(-0.850058\pi\)
−0.200767 + 0.979639i \(0.564343\pi\)
\(140\) −4204.77 + 18422.3i −0.0181310 + 0.0794372i
\(141\) −494.245 + 619.763i −0.00209360 + 0.00262529i
\(142\) 39760.2 + 19147.5i 0.165473 + 0.0796876i
\(143\) 170872. 214267.i 0.698764 0.876222i
\(144\) −59744.9 261760.i −0.240101 1.05195i
\(145\) −21521.8 + 10364.4i −0.0850079 + 0.0409376i
\(146\) −382685. + 184291.i −1.48580 + 0.715521i
\(147\) 17733.3 + 22236.9i 0.0676857 + 0.0848752i
\(148\) 64249.1 + 281494.i 0.241109 + 1.05637i
\(149\) −32139.6 + 140813.i −0.118597 + 0.519608i 0.880375 + 0.474278i \(0.157291\pi\)
−0.998972 + 0.0453297i \(0.985566\pi\)
\(150\) 30678.6 + 38469.8i 0.111329 + 0.139602i
\(151\) −176934. 221869.i −0.631495 0.791870i 0.358416 0.933562i \(-0.383317\pi\)
−0.989911 + 0.141692i \(0.954746\pi\)
\(152\) −17574.3 + 76998.0i −0.0616977 + 0.270315i
\(153\) 71846.0 + 314778.i 0.248127 + 1.08712i
\(154\) −238417. 298966.i −0.810096 1.01583i
\(155\) −2566.89 + 1236.15i −0.00858180 + 0.00413278i
\(156\) 51059.5 24588.9i 0.167983 0.0808962i
\(157\) 55287.2 + 242229.i 0.179009 + 0.784291i 0.982089 + 0.188419i \(0.0603363\pi\)
−0.803079 + 0.595872i \(0.796807\pi\)
\(158\) −273662. + 343161.i −0.872110 + 1.09359i
\(159\) −42091.2 20270.1i −0.132038 0.0635861i
\(160\) −18543.4 + 23252.7i −0.0572650 + 0.0718080i
\(161\) −62731.3 + 274844.i −0.190730 + 0.835644i
\(162\) 392760. 189143.i 1.17582 0.566244i
\(163\) 28657.9 125559.i 0.0844843 0.370150i −0.914958 0.403550i \(-0.867776\pi\)
0.999442 + 0.0333997i \(0.0106334\pi\)
\(164\) −250868. 120811.i −0.728341 0.350751i
\(165\) 2154.02 0.00615942
\(166\) −950539. −2.67732
\(167\) −241688. 116391.i −0.670602 0.322945i 0.0674171 0.997725i \(-0.478524\pi\)
−0.738019 + 0.674780i \(0.764238\pi\)
\(168\) 2168.78 + 9502.06i 0.00592848 + 0.0259744i
\(169\) 364989. + 457681.i 0.983021 + 1.23267i
\(170\) 24776.0 31068.2i 0.0657521 0.0824506i
\(171\) −690777. −1.80654
\(172\) −275714. + 208071.i −0.710621 + 0.536280i
\(173\) 420273. 1.06762 0.533810 0.845605i \(-0.320760\pi\)
0.533810 + 0.845605i \(0.320760\pi\)
\(174\) 62324.9 78152.9i 0.156059 0.195692i
\(175\) 340334. + 426765.i 0.840060 + 1.05340i
\(176\) −70082.0 307049.i −0.170539 0.747182i
\(177\) −48561.3 23385.9i −0.116508 0.0561074i
\(178\) 503410. 1.19089
\(179\) 376112. 0.877374 0.438687 0.898640i \(-0.355444\pi\)
0.438687 + 0.898640i \(0.355444\pi\)
\(180\) −23174.7 11160.4i −0.0533130 0.0256742i
\(181\) 131162. 574659.i 0.297586 1.30381i −0.576125 0.817362i \(-0.695436\pi\)
0.873710 0.486446i \(-0.161707\pi\)
\(182\) 1.20268e6 579178.i 2.69135 1.29608i
\(183\) 6532.94 28622.7i 0.0144205 0.0631804i
\(184\) −27355.6 + 34302.8i −0.0595664 + 0.0746939i
\(185\) −34515.9 16622.0i −0.0741464 0.0357070i
\(186\) 7433.44 9321.24i 0.0157546 0.0197556i
\(187\) 84276.9 + 369241.i 0.176240 + 0.772158i
\(188\) 10004.2 4817.78i 0.0206437 0.00994150i
\(189\) −154939. + 74614.6i −0.315505 + 0.151939i
\(190\) 53007.6 + 66469.4i 0.106526 + 0.133579i
\(191\) 78476.0 + 343826.i 0.155651 + 0.681954i 0.991182 + 0.132509i \(0.0423034\pi\)
−0.835530 + 0.549444i \(0.814839\pi\)
\(192\) 11416.1 50017.3i 0.0223494 0.0979190i
\(193\) 67978.5 + 85242.4i 0.131365 + 0.164726i 0.843163 0.537657i \(-0.180691\pi\)
−0.711799 + 0.702384i \(0.752119\pi\)
\(194\) 253284. + 317608.i 0.483174 + 0.605881i
\(195\) −1673.21 + 7330.81i −0.00315111 + 0.0138059i
\(196\) −88652.8 388413.i −0.164836 0.722194i
\(197\) −443713. 556398.i −0.814585 1.02146i −0.999253 0.0386564i \(-0.987692\pi\)
0.184667 0.982801i \(-0.440879\pi\)
\(198\) 468978. 225848.i 0.850138 0.409405i
\(199\) 50230.1 24189.6i 0.0899149 0.0433007i −0.388386 0.921497i \(-0.626967\pi\)
0.478301 + 0.878196i \(0.341253\pi\)
\(200\) 18903.8 + 82823.1i 0.0334176 + 0.146412i
\(201\) 49831.9 62487.3i 0.0869997 0.109094i
\(202\) −829018. 399234.i −1.42950 0.688413i
\(203\) 691402. 866991.i 1.17758 1.47664i
\(204\) −17427.4 + 76354.6i −0.0293196 + 0.128458i
\(205\) 33285.7 16029.5i 0.0553188 0.0266401i
\(206\) −208791. + 914774.i −0.342802 + 1.50192i
\(207\) −345746. 166502.i −0.560830 0.270081i
\(208\) 1.09942e6 1.76200
\(209\) −810296. −1.28315
\(210\) 9452.72 + 4552.19i 0.0147914 + 0.00712315i
\(211\) −170945. 748961.i −0.264333 1.15812i −0.916497 0.400041i \(-0.868996\pi\)
0.652165 0.758077i \(-0.273861\pi\)
\(212\) 408011. + 511630.i 0.623494 + 0.781837i
\(213\) 7195.17 9022.46i 0.0108666 0.0136262i
\(214\) −355208. −0.530211
\(215\) 1224.41 45814.2i 0.00180647 0.0675934i
\(216\) −26764.1 −0.0390318
\(217\) 82463.0 103405.i 0.118880 0.149071i
\(218\) −73624.5 92322.2i −0.104926 0.131572i
\(219\) 24715.8 + 108287.i 0.0348229 + 0.152569i
\(220\) −27184.4 13091.3i −0.0378672 0.0182359i
\(221\) −1.32211e6 −1.82090
\(222\) 160314. 0.218318
\(223\) −340595. 164022.i −0.458645 0.220872i 0.190272 0.981731i \(-0.439063\pi\)
−0.648916 + 0.760860i \(0.724777\pi\)
\(224\) 307229. 1.34606e6i 0.409112 1.79244i
\(225\) −669452. + 322391.i −0.881583 + 0.424548i
\(226\) 221995. 972625.i 0.289117 1.26670i
\(227\) −114252. + 143268.i −0.147163 + 0.184537i −0.849949 0.526864i \(-0.823368\pi\)
0.702786 + 0.711401i \(0.251939\pi\)
\(228\) −150966. 72701.3i −0.192328 0.0926201i
\(229\) −61633.6 + 77286.1i −0.0776657 + 0.0973897i −0.819146 0.573584i \(-0.805552\pi\)
0.741481 + 0.670974i \(0.234124\pi\)
\(230\) 10509.7 + 46045.9i 0.0130999 + 0.0573946i
\(231\) −90093.2 + 43386.6i −0.111087 + 0.0534965i
\(232\) 155494. 74882.0i 0.189668 0.0913393i
\(233\) 803391. + 1.00742e6i 0.969477 + 1.21569i 0.976458 + 0.215709i \(0.0692064\pi\)
−0.00698104 + 0.999976i \(0.502222\pi\)
\(234\) 404337. + 1.77151e6i 0.482729 + 2.11497i
\(235\) −327.837 + 1436.35i −0.000387247 + 0.00169664i
\(236\) 470728. + 590275.i 0.550162 + 0.689881i
\(237\) 71562.8 + 89736.9i 0.0827592 + 0.103777i
\(238\) −410493. + 1.79849e6i −0.469746 + 2.05809i
\(239\) −60554.9 265308.i −0.0685732 0.300439i 0.928999 0.370083i \(-0.120671\pi\)
−0.997572 + 0.0696441i \(0.977814\pi\)
\(240\) 5387.70 + 6755.96i 0.00603775 + 0.00757110i
\(241\) −313421. + 150935.i −0.347604 + 0.167397i −0.599536 0.800348i \(-0.704648\pi\)
0.251932 + 0.967745i \(0.418934\pi\)
\(242\) −578401. + 278543.i −0.634879 + 0.305741i
\(243\) −78358.7 343312.i −0.0851278 0.372969i
\(244\) −256406. + 321523.i −0.275710 + 0.345730i
\(245\) 47626.1 + 22935.5i 0.0506908 + 0.0244114i
\(246\) −96391.8 + 120871.i −0.101555 + 0.127346i
\(247\) 629425. 2.75769e6i 0.656450 2.87610i
\(248\) 18545.7 8931.13i 0.0191476 0.00922098i
\(249\) −55311.3 + 242335.i −0.0565348 + 0.247695i
\(250\) 165164. + 79539.0i 0.167135 + 0.0804878i
\(251\) −1.00315e6 −1.00504 −0.502520 0.864566i \(-0.667594\pi\)
−0.502520 + 0.864566i \(0.667594\pi\)
\(252\) 1.19409e6 1.18450
\(253\) −405567. 195311.i −0.398347 0.191834i
\(254\) 186443. + 816861.i 0.181327 + 0.794445i
\(255\) −6478.96 8124.36i −0.00623957 0.00782418i
\(256\) 772871. 969150.i 0.737067 0.924253i
\(257\) 836116. 0.789648 0.394824 0.918757i \(-0.370806\pi\)
0.394824 + 0.918757i \(0.370806\pi\)
\(258\) 78567.0 + 174955.i 0.0734837 + 0.163635i
\(259\) 1.77845e6 1.64737
\(260\) 65670.4 82348.1i 0.0602471 0.0755475i
\(261\) 941162. + 1.18018e6i 0.855191 + 1.07238i
\(262\) 435239. + 1.90691e6i 0.391719 + 1.71623i
\(263\) −1.04913e6 505233.i −0.935274 0.450404i −0.0967743 0.995306i \(-0.530852\pi\)
−0.838500 + 0.544902i \(0.816567\pi\)
\(264\) −15562.7 −0.0137428
\(265\) −86827.2 −0.0759524
\(266\) −3.55591e6 1.71244e6i −3.08139 1.48392i
\(267\) 29293.1 128342.i 0.0251471 0.110177i
\(268\) −1.00867e6 + 485750.i −0.857851 + 0.413119i
\(269\) −69784.6 + 305746.i −0.0588002 + 0.257621i −0.995781 0.0917599i \(-0.970751\pi\)
0.936981 + 0.349380i \(0.113608\pi\)
\(270\) −17963.2 + 22525.2i −0.0149960 + 0.0188044i
\(271\) −199948. 96290.0i −0.165384 0.0796449i 0.349360 0.936989i \(-0.386399\pi\)
−0.514745 + 0.857344i \(0.672113\pi\)
\(272\) −947308. + 1.18789e6i −0.776370 + 0.973538i
\(273\) −77675.3 340318.i −0.0630777 0.276362i
\(274\) 1.68586e6 811868.i 1.35658 0.653295i
\(275\) −785281. + 378172.i −0.626172 + 0.301548i
\(276\) −58037.3 72776.5i −0.0458601 0.0575067i
\(277\) 424866. + 1.86146e6i 0.332700 + 1.45765i 0.813881 + 0.581032i \(0.197351\pi\)
−0.481181 + 0.876621i \(0.659792\pi\)
\(278\) 477749. 2.09316e6i 0.370756 1.62439i
\(279\) 112252. + 140759.i 0.0863341 + 0.108260i
\(280\) 11294.0 + 14162.3i 0.00860902 + 0.0107954i
\(281\) 34121.5 149496.i 0.0257787 0.112944i −0.960402 0.278619i \(-0.910123\pi\)
0.986180 + 0.165675i \(0.0529804\pi\)
\(282\) −1371.89 6010.66i −0.00102730 0.00450090i
\(283\) −563936. 707153.i −0.418566 0.524865i 0.527188 0.849749i \(-0.323246\pi\)
−0.945754 + 0.324884i \(0.894675\pi\)
\(284\) −145641. + 70136.8i −0.107149 + 0.0516000i
\(285\) 20030.5 9646.18i 0.0146076 0.00703466i
\(286\) 474295. + 2.07802e6i 0.342873 + 1.50223i
\(287\) −1.06932e6 + 1.34089e6i −0.766310 + 0.960923i
\(288\) 1.69331e6 + 815453.i 1.20297 + 0.579319i
\(289\) 253916. 318400.i 0.178832 0.224248i
\(290\) 41340.6 181125.i 0.0288657 0.126469i
\(291\) 95711.0 46092.0i 0.0662566 0.0319075i
\(292\) 346207. 1.51683e6i 0.237618 1.04107i
\(293\) −2.30414e6 1.10962e6i −1.56798 0.755098i −0.570186 0.821516i \(-0.693129\pi\)
−0.997792 + 0.0664177i \(0.978843\pi\)
\(294\) −221206. −0.149255
\(295\) −100174. −0.0670192
\(296\) 249376. + 120093.i 0.165434 + 0.0796689i
\(297\) −61102.8 267709.i −0.0401948 0.176105i
\(298\) −700382. 878252.i −0.456872 0.572899i
\(299\) 979743. 1.22856e6i 0.633774 0.794727i
\(300\) −180236. −0.115621
\(301\) 871585. + 1.94087e6i 0.554489 + 1.23475i
\(302\) 2.20709e6 1.39252
\(303\) −150023. + 188122.i −0.0938751 + 0.117716i
\(304\) −2.02674e6 2.54145e6i −1.25780 1.57724i
\(305\) −12141.8 53196.6i −0.00747365 0.0327442i
\(306\) −2.26245e6 1.08954e6i −1.38126 0.665179i
\(307\) 144351. 0.0874124 0.0437062 0.999044i \(-0.486083\pi\)
0.0437062 + 0.999044i \(0.486083\pi\)
\(308\) 1.40069e6 0.841329
\(309\) 221067. + 106460.i 0.131713 + 0.0634296i
\(310\) 4930.66 21602.7i 0.00291408 0.0127674i
\(311\) 522152. 251455.i 0.306123 0.147421i −0.274515 0.961583i \(-0.588517\pi\)
0.580638 + 0.814162i \(0.302803\pi\)
\(312\) 12088.9 52964.8i 0.00703071 0.0308035i
\(313\) −567298. + 711369.i −0.327303 + 0.410425i −0.918071 0.396417i \(-0.870254\pi\)
0.590768 + 0.806842i \(0.298825\pi\)
\(314\) −1.74101e6 838425.i −0.996498 0.479888i
\(315\) −98782.4 + 123869.i −0.0560923 + 0.0703375i
\(316\) −357758. 1.56744e6i −0.201545 0.883026i
\(317\) 2.45444e6 1.18200e6i 1.37184 0.660646i 0.404601 0.914494i \(-0.367411\pi\)
0.967244 + 0.253848i \(0.0816963\pi\)
\(318\) 327362. 157649.i 0.181535 0.0874227i
\(319\) 1.10400e6 + 1.38438e6i 0.607426 + 0.761688i
\(320\) −21217.4 92959.5i −0.0115829 0.0507480i
\(321\) −20669.4 + 90558.4i −0.0111960 + 0.0490531i
\(322\) −1.36703e6 1.71421e6i −0.734751 0.921348i
\(323\) 2.43724e6 + 3.05621e6i 1.29985 + 1.62996i
\(324\) −355322. + 1.55677e6i −0.188044 + 0.823876i
\(325\) −677043. 2.96632e6i −0.355556 1.55779i
\(326\) 624511. + 783112.i 0.325459 + 0.408113i
\(327\) −27821.2 + 13398.0i −0.0143882 + 0.00692900i
\(328\) −240488. + 115813.i −0.123426 + 0.0594390i
\(329\) −15219.1 66679.3i −0.00775175 0.0339626i
\(330\) −10445.2 + 13097.8i −0.00527997 + 0.00662087i
\(331\) 932918. + 449269.i 0.468030 + 0.225391i 0.653007 0.757352i \(-0.273507\pi\)
−0.184978 + 0.982743i \(0.559221\pi\)
\(332\) 2.17087e6 2.72218e6i 1.08091 1.35541i
\(333\) −538699. + 2.36020e6i −0.266217 + 1.16637i
\(334\) 1.87972e6 905224.i 0.921990 0.444007i
\(335\) 33054.0 144819.i 0.0160921 0.0705039i
\(336\) −361423. 174052.i −0.174650 0.0841069i
\(337\) 3.57978e6 1.71704 0.858522 0.512776i \(-0.171383\pi\)
0.858522 + 0.512776i \(0.171383\pi\)
\(338\) −4.55289e6 −2.16768
\(339\) −235048. 113193.i −0.111085 0.0534959i
\(340\) 32389.8 + 141909.i 0.0151953 + 0.0665751i
\(341\) 131674. + 165113.i 0.0613215 + 0.0768947i
\(342\) 3.34969e6 4.20037e6i 1.54860 1.94188i
\(343\) 495258. 0.227298
\(344\) −8846.28 + 331005.i −0.00403055 + 0.150813i
\(345\) 12350.7 0.00558655
\(346\) −2.03797e6 + 2.55553e6i −0.915182 + 1.14760i
\(347\) 645946. + 809991.i 0.287987 + 0.361124i 0.904689 0.426072i \(-0.140103\pi\)
−0.616702 + 0.787197i \(0.711532\pi\)
\(348\) 81477.4 + 356976.i 0.0360652 + 0.158012i
\(349\) 2.91047e6 + 1.40161e6i 1.27909 + 0.615976i 0.945155 0.326622i \(-0.105910\pi\)
0.333932 + 0.942597i \(0.391625\pi\)
\(350\) −4.24534e6 −1.85243
\(351\) 958561. 0.415290
\(352\) 1.98628e6 + 956543.i 0.854446 + 0.411479i
\(353\) 685770. 3.00455e6i 0.292915 1.28334i −0.587533 0.809201i \(-0.699901\pi\)
0.880448 0.474144i \(-0.157242\pi\)
\(354\) 377682. 181882.i 0.160184 0.0771405i
\(355\) 4772.62 20910.2i 0.00200995 0.00880618i
\(356\) −1.14970e6 + 1.44168e6i −0.480795 + 0.602898i
\(357\) 434628. + 209306.i 0.180488 + 0.0869183i
\(358\) −1.82383e6 + 2.28700e6i −0.752100 + 0.943104i
\(359\) −791342. 3.46710e6i −0.324062 1.41981i −0.830253 0.557387i \(-0.811804\pi\)
0.506191 0.862421i \(-0.331053\pi\)
\(360\) −22215.9 + 10698.6i −0.00903456 + 0.00435081i
\(361\) −5.30415e6 + 2.55435e6i −2.14214 + 1.03160i
\(362\) 2.85827e6 + 3.58416e6i 1.14639 + 1.43753i
\(363\) 37356.3 + 163669.i 0.0148798 + 0.0651927i
\(364\) −1.08804e6 + 4.76700e6i −0.430418 + 1.88578i
\(365\) 128709. + 161396.i 0.0505680 + 0.0634103i
\(366\) 142365. + 178520.i 0.0555522 + 0.0696602i
\(367\) −1.07877e6 + 4.72641e6i −0.418085 + 1.83175i 0.125107 + 0.992143i \(0.460073\pi\)
−0.543192 + 0.839608i \(0.682785\pi\)
\(368\) −401835. 1.76056e6i −0.154678 0.677689i
\(369\) −1.45560e6 1.82527e6i −0.556515 0.697848i
\(370\) 268445. 129277.i 0.101942 0.0490925i
\(371\) 3.63160e6 1.74889e6i 1.36982 0.659670i
\(372\) 9717.75 + 42576.2i 0.00364090 + 0.0159518i
\(373\) −1.24454e6 + 1.56060e6i −0.463164 + 0.580790i −0.957483 0.288491i \(-0.906846\pi\)
0.494318 + 0.869281i \(0.335418\pi\)
\(374\) −2.65390e6 1.27805e6i −0.981081 0.472464i
\(375\) 29888.9 37479.5i 0.0109757 0.0137631i
\(376\) 2368.60 10377.5i 0.000864018 0.00378551i
\(377\) −5.56904e6 + 2.68191e6i −2.01803 + 0.971831i
\(378\) 297617. 1.30395e6i 0.107134 0.469386i
\(379\) −2.73295e6 1.31612e6i −0.977313 0.470649i −0.124133 0.992266i \(-0.539615\pi\)
−0.853180 + 0.521616i \(0.825329\pi\)
\(380\) −311417. −0.110633
\(381\) 219103. 0.0773279
\(382\) −2.47123e6 1.19008e6i −0.866471 0.417270i
\(383\) −652092. 2.85700e6i −0.227150 0.995207i −0.951951 0.306250i \(-0.900926\pi\)
0.724802 0.688957i \(-0.241931\pi\)
\(384\) −70496.2 88399.5i −0.0243971 0.0305930i
\(385\) −115874. + 145301.i −0.0398413 + 0.0499594i
\(386\) −847968. −0.289675
\(387\) −2.83975e6 + 568791.i −0.963834 + 0.193052i
\(388\) −1.48803e6 −0.501803
\(389\) 2.65035e6 3.32343e6i 0.888032 1.11356i −0.104854 0.994488i \(-0.533438\pi\)
0.992886 0.119069i \(-0.0379910\pi\)
\(390\) −36462.4 45722.5i −0.0121390 0.0152219i
\(391\) 483226. + 2.11715e6i 0.159848 + 0.700341i
\(392\) −344096. 165708.i −0.113100 0.0544663i
\(393\) 511482. 0.167051
\(394\) 5.53490e6 1.79626
\(395\) 192195. + 92556.2i 0.0619796 + 0.0298478i
\(396\) −424275. + 1.85887e6i −0.135959 + 0.595677i
\(397\) 1.81784e6 875425.i 0.578868 0.278768i −0.121452 0.992597i \(-0.538755\pi\)
0.700320 + 0.713829i \(0.253041\pi\)
\(398\) −96485.5 + 422731.i −0.0305319 + 0.133769i
\(399\) −643493. + 806914.i −0.202354 + 0.253744i
\(400\) −3.15028e6 1.51710e6i −0.984463 0.474093i
\(401\) 656588. 823335.i 0.203907 0.255691i −0.669354 0.742943i \(-0.733429\pi\)
0.873261 + 0.487252i \(0.162001\pi\)
\(402\) 138320. + 606021.i 0.0426895 + 0.187035i
\(403\) −664216. + 319869.i −0.203726 + 0.0981093i
\(404\) 3.03667e6 1.46238e6i 0.925645 0.445767i
\(405\) −132097. 165645.i −0.0400181 0.0501812i
\(406\) 1.91915e6 + 8.40835e6i 0.577822 + 2.53160i
\(407\) −631905. + 2.76856e6i −0.189089 + 0.828453i
\(408\) 46810.2 + 58698.1i 0.0139216 + 0.0174572i
\(409\) −667249. 836704.i −0.197233 0.247322i 0.673373 0.739303i \(-0.264845\pi\)
−0.870606 + 0.491980i \(0.836273\pi\)
\(410\) −63937.5 + 280128.i −0.0187843 + 0.0822996i
\(411\) −108882. 477044.i −0.0317945 0.139301i
\(412\) −2.14291e6 2.68713e6i −0.621959 0.779912i
\(413\) 4.18983e6 2.01772e6i 1.20871 0.582083i
\(414\) 2.68902e6 1.29496e6i 0.771068 0.371327i
\(415\) 102799. + 450391.i 0.0293000 + 0.128372i
\(416\) −4.79833e6 + 6.01692e6i −1.35943 + 1.70467i
\(417\) −505839. 243599.i −0.142453 0.0686018i
\(418\) 3.92925e6 4.92712e6i 1.09994 1.37928i
\(419\) 764596. 3.34991e6i 0.212763 0.932178i −0.749916 0.661533i \(-0.769906\pi\)
0.962679 0.270644i \(-0.0872368\pi\)
\(420\) −34625.1 + 16674.6i −0.00957785 + 0.00461245i
\(421\) 1.41868e6 6.21564e6i 0.390102 1.70915i −0.274188 0.961676i \(-0.588409\pi\)
0.664290 0.747475i \(-0.268734\pi\)
\(422\) 5.38311e6 + 2.59237e6i 1.47147 + 0.708623i
\(423\) 93100.6 0.0252989
\(424\) 627323. 0.169464
\(425\) 3.78836e6 + 1.82438e6i 1.01737 + 0.489940i
\(426\) 19971.9 + 87502.6i 0.00533206 + 0.0233613i
\(427\) 1.57933e6 + 1.98042e6i 0.419183 + 0.525639i
\(428\) 811234. 1.01726e6i 0.214061 0.268424i
\(429\) 557380. 0.146220
\(430\) 272643. + 229605.i 0.0711087 + 0.0598840i
\(431\) 1.37167e6 0.355677 0.177838 0.984060i \(-0.443090\pi\)
0.177838 + 0.984060i \(0.443090\pi\)
\(432\) 686821. 861246.i 0.177066 0.222033i
\(433\) −2.18530e6 2.74029e6i −0.560134 0.702386i 0.418448 0.908241i \(-0.362574\pi\)
−0.978583 + 0.205854i \(0.934003\pi\)
\(434\) 228896. + 1.00286e6i 0.0583329 + 0.255573i
\(435\) −43771.3 21079.1i −0.0110909 0.00534109i
\(436\) 432541. 0.108971
\(437\) −4.64606e6 −1.16381
\(438\) −778307. 374813.i −0.193850 0.0933532i
\(439\) −461880. + 2.02363e6i −0.114385 + 0.501152i 0.884984 + 0.465621i \(0.154169\pi\)
−0.999369 + 0.0355303i \(0.988688\pi\)
\(440\) −26059.7 + 12549.7i −0.00641707 + 0.00309030i
\(441\) 743313. 3.25667e6i 0.182002 0.797401i
\(442\) 6.41111e6 8.03928e6i 1.56091 1.95732i
\(443\) −5.15457e6 2.48231e6i −1.24791 0.600962i −0.310959 0.950423i \(-0.600650\pi\)
−0.936951 + 0.349462i \(0.886364\pi\)
\(444\) −366130. + 459113.i −0.0881411 + 0.110525i
\(445\) −54442.7 238529.i −0.0130329 0.0571007i
\(446\) 2.64896e6 1.27567e6i 0.630577 0.303670i
\(447\) −264660. + 127454.i −0.0626499 + 0.0301706i
\(448\) 2.75983e6 + 3.46072e6i 0.649663 + 0.814651i
\(449\) 154556. + 677155.i 0.0361801 + 0.158516i 0.989791 0.142527i \(-0.0455226\pi\)
−0.953611 + 0.301042i \(0.902666\pi\)
\(450\) 1.28593e6 5.63403e6i 0.299355 1.31156i
\(451\) −1.70745e6 2.14108e6i −0.395282 0.495668i
\(452\) 2.27843e6 + 2.85707e6i 0.524554 + 0.657770i
\(453\) 128429. 562685.i 0.0294048 0.128831i
\(454\) −317134. 1.38945e6i −0.0722109 0.316377i
\(455\) −404497. 507223.i −0.0915982 0.114860i
\(456\) −144719. + 69693.2i −0.0325923 + 0.0156956i
\(457\) 204724. 98589.8i 0.0458541 0.0220822i −0.410816 0.911718i \(-0.634756\pi\)
0.456670 + 0.889636i \(0.349042\pi\)
\(458\) −171079. 749545.i −0.0381094 0.166968i
\(459\) −825934. + 1.03569e6i −0.182984 + 0.229455i
\(460\) −155870. 75062.9i −0.0343453 0.0165398i
\(461\) −419170. + 525623.i −0.0918625 + 0.115192i −0.825638 0.564200i \(-0.809185\pi\)
0.733776 + 0.679392i \(0.237756\pi\)
\(462\) 173057. 758213.i 0.0377211 0.165267i
\(463\) 5.18262e6 2.49582e6i 1.12356 0.541079i 0.222571 0.974917i \(-0.428555\pi\)
0.900991 + 0.433838i \(0.142841\pi\)
\(464\) −1.58065e6 + 6.92529e6i −0.340833 + 1.49328i
\(465\) −5220.57 2514.09i −0.00111966 0.000539199i
\(466\) −1.00215e7 −2.13781
\(467\) 1.52910e6 0.324447 0.162224 0.986754i \(-0.448133\pi\)
0.162224 + 0.986754i \(0.448133\pi\)
\(468\) −5.99675e6 2.88788e6i −1.26561 0.609488i
\(469\) 1.53446e6 + 6.72291e6i 0.322124 + 1.41132i
\(470\) −7144.19 8958.52i −0.00149179 0.00187065i
\(471\) −315060. + 395073.i −0.0654397 + 0.0820587i
\(472\) 723751. 0.149532
\(473\) −3.33108e6 + 667203.i −0.684593 + 0.137121i
\(474\) −892678. −0.182494
\(475\) −5.60889e6 + 7.03333e6i −1.14063 + 1.43030i
\(476\) −4.21307e6 5.28302e6i −0.852277 1.06872i
\(477\) 1.22094e6 + 5.34927e6i 0.245695 + 1.07646i
\(478\) 1.90689e6 + 918308.i 0.381729 + 0.183831i
\(479\) −875022. −0.174253 −0.0871264 0.996197i \(-0.527768\pi\)
−0.0871264 + 0.996197i \(0.527768\pi\)
\(480\) −60488.1 −0.0119830
\(481\) −8.93143e6 4.30115e6i −1.76018 0.847660i
\(482\) 602040. 2.63771e6i 0.118034 0.517142i
\(483\) −516575. + 248769.i −0.100755 + 0.0485209i
\(484\) 523268. 2.29259e6i 0.101534 0.444849i
\(485\) 123099. 154362.i 0.0237630 0.0297979i
\(486\) 2.46753e6 + 1.18830e6i 0.473884 + 0.228211i
\(487\) −731050. + 916708.i −0.139677 + 0.175149i −0.846750 0.531991i \(-0.821444\pi\)
0.707073 + 0.707141i \(0.250015\pi\)
\(488\) 87723.8 + 384343.i 0.0166751 + 0.0730583i
\(489\) 235990. 113647.i 0.0446295 0.0214924i
\(490\) −370409. + 178379.i −0.0696933 + 0.0335625i
\(491\) 2.86838e6 + 3.59684e6i 0.536949 + 0.673313i 0.974111 0.226070i \(-0.0725877\pi\)
−0.437162 + 0.899383i \(0.644016\pi\)
\(492\) −126013. 552099.i −0.0234694 0.102826i
\(493\) 1.90081e6 8.32798e6i 0.352225 1.54320i
\(494\) 1.37164e7 + 1.71998e7i 2.52884 + 3.17107i
\(495\) −157732. 197789.i −0.0289338 0.0362819i
\(496\) −188523. + 825974.i −0.0344081 + 0.150752i
\(497\) 221559. + 970712.i 0.0402344 + 0.176279i
\(498\) −1.20534e6 1.51145e6i −0.217789 0.273099i
\(499\) −5.27222e6 + 2.53897e6i −0.947855 + 0.456463i −0.842934 0.538018i \(-0.819173\pi\)
−0.104922 + 0.994481i \(0.533459\pi\)
\(500\) −604994. + 291350.i −0.108225 + 0.0521182i
\(501\) −121402. 531898.i −0.0216089 0.0946748i
\(502\) 4.86445e6 6.09983e6i 0.861538 1.08033i
\(503\) 822028. + 395868.i 0.144866 + 0.0697638i 0.504912 0.863171i \(-0.331525\pi\)
−0.360046 + 0.932934i \(0.617239\pi\)
\(504\) 713698. 894950.i 0.125152 0.156936i
\(505\) −99511.3 + 435988.i −0.0173638 + 0.0760756i
\(506\) 3.15427e6 1.51902e6i 0.547675 0.263747i
\(507\) −264930. + 1.16073e6i −0.0457732 + 0.200545i
\(508\) −2.76515e6 1.33163e6i −0.475401 0.228941i
\(509\) −508170. −0.0869390 −0.0434695 0.999055i \(-0.513841\pi\)
−0.0434695 + 0.999055i \(0.513841\pi\)
\(510\) 80818.9 0.0137590
\(511\) −8.63417e6 4.15800e6i −1.46274 0.704420i
\(512\) 1.74942e6 + 7.66471e6i 0.294930 + 1.29217i
\(513\) −1.76706e6 2.21582e6i −0.296455 0.371742i
\(514\) −4.05445e6 + 5.08412e6i −0.676900 + 0.848806i
\(515\) 456025. 0.0757653
\(516\) −680475. 174565.i −0.112509 0.0288624i
\(517\) 109209. 0.0179693
\(518\) −8.62398e6 + 1.08141e7i −1.41216 + 1.77079i
\(519\) 532931. + 668275.i 0.0868466 + 0.108902i
\(520\) −22467.8 98437.7i −0.00364377 0.0159644i
\(521\) 5.29356e6 + 2.54924e6i 0.854384 + 0.411450i 0.809203 0.587529i \(-0.199899\pi\)
0.0451813 + 0.998979i \(0.485613\pi\)
\(522\) −1.17401e7 −1.88580
\(523\) 2.45375e6 0.392261 0.196131 0.980578i \(-0.437162\pi\)
0.196131 + 0.980578i \(0.437162\pi\)
\(524\) −6.45507e6 3.10860e6i −1.02701 0.494580i
\(525\) −247034. + 1.08233e6i −0.0391164 + 0.171380i
\(526\) 8.15953e6 3.92942e6i 1.28588 0.619247i
\(527\) 226708. 993272.i 0.0355582 0.155791i
\(528\) 399370. 500794.i 0.0623434 0.0781761i
\(529\) 3.47351e6 + 1.67275e6i 0.539671 + 0.259892i
\(530\) 421039. 527966.i 0.0651077 0.0816425i
\(531\) 1.40861e6 + 6.17153e6i 0.216798 + 0.949853i
\(532\) 1.30252e7 6.27261e6i 1.99529 0.960880i
\(533\) 8.61309e6 4.14785e6i 1.31323 0.632419i
\(534\) 638353. + 800469.i 0.0968741 + 0.121476i
\(535\) 38415.0 + 168307.i 0.00580252 + 0.0254225i
\(536\) −238813. + 1.04631e6i −0.0359043 + 0.157307i
\(537\) 476932. + 598054.i 0.0713709 + 0.0894962i
\(538\) −1.52074e6 1.90695e6i −0.226516 0.284042i
\(539\) 871921. 3.82014e6i 0.129272 0.566379i
\(540\) −23483.4 102887.i −0.00346558 0.0151837i
\(541\) 2.47842e6 + 3.10784e6i 0.364067 + 0.456526i 0.929801 0.368062i \(-0.119978\pi\)
−0.565734 + 0.824588i \(0.691407\pi\)
\(542\) 1.55509e6 748890.i 0.227382 0.109501i
\(543\) 1.08008e6 520141.i 0.157202 0.0757045i
\(544\) −2.36662e6 1.03688e7i −0.342871 1.50222i
\(545\) −35782.4 + 44869.7i −0.00516034 + 0.00647087i
\(546\) 2.44601e6 + 1.17794e6i 0.351137 + 0.169099i
\(547\) −4.64504e6 + 5.82469e6i −0.663775 + 0.832347i −0.993748 0.111643i \(-0.964389\pi\)
0.329974 + 0.943990i \(0.392960\pi\)
\(548\) −1.52517e6 + 6.68219e6i −0.216953 + 0.950533i
\(549\) −3.10661e6 + 1.49607e6i −0.439903 + 0.211846i
\(550\) 1.50842e6 6.60883e6i 0.212626 0.931575i
\(551\) 1.64658e7 + 7.92951e6i 2.31049 + 1.11267i
\(552\) −89233.2 −0.0124646
\(553\) −9.90294e6 −1.37706
\(554\) −1.33791e7 6.44305e6i −1.85205 0.891902i
\(555\) −17337.7 75961.3i −0.00238923 0.0104679i
\(556\) 4.90334e6 + 6.14860e6i 0.672675 + 0.843508i
\(557\) 1.88249e6 2.36057e6i 0.257095 0.322387i −0.636486 0.771288i \(-0.719613\pi\)
0.893582 + 0.448901i \(0.148184\pi\)
\(558\) −1.40023e6 −0.190377
\(559\) 316831. 1.18550e7i 0.0428842 1.60462i
\(560\) −745556. −0.100464
\(561\) −480261. + 602228.i −0.0644273 + 0.0807893i
\(562\) 743572. + 932409.i 0.0993075 + 0.124528i
\(563\) 1.53395e6 + 6.72066e6i 0.203957 + 0.893595i 0.968498 + 0.249020i \(0.0801086\pi\)
−0.764541 + 0.644575i \(0.777034\pi\)
\(564\) 20346.7 + 9798.44i 0.00269337 + 0.00129706i
\(565\) −484865. −0.0638998
\(566\) 7.03456e6 0.922988
\(567\) 8.86150e6 + 4.26747e6i 1.15758 + 0.557459i
\(568\) −34481.9 + 151075.i −0.00448457 + 0.0196482i
\(569\) 1.96499e6 946290.i 0.254437 0.122530i −0.302318 0.953207i \(-0.597761\pi\)
0.556755 + 0.830677i \(0.312046\pi\)
\(570\) −38476.0 + 168574.i −0.00496024 + 0.0217322i
\(571\) −4.22465e6 + 5.29754e6i −0.542251 + 0.679961i −0.975166 0.221473i \(-0.928913\pi\)
0.432915 + 0.901435i \(0.357485\pi\)
\(572\) −7.03432e6 3.38755e6i −0.898942 0.432908i
\(573\) −447204. + 560776.i −0.0569008 + 0.0713514i
\(574\) −2.96816e6 1.30044e7i −0.376017 1.64744i
\(575\) −4.50264e6 + 2.16836e6i −0.567933 + 0.273502i
\(576\) −5.42871e6 + 2.61433e6i −0.681775 + 0.328325i
\(577\) −6.09328e6 7.64073e6i −0.761923 0.955422i 0.237951 0.971277i \(-0.423524\pi\)
−0.999874 + 0.0158555i \(0.994953\pi\)
\(578\) 704803. + 3.08794e6i 0.0877502 + 0.384459i
\(579\) −49342.8 + 216185.i −0.00611684 + 0.0267996i
\(580\) 424297. + 532051.i 0.0523720 + 0.0656725i
\(581\) −1.33715e7 1.67673e7i −1.64338 2.06074i
\(582\) −183848. + 805492.i −0.0224984 + 0.0985721i
\(583\) 1.43218e6 + 6.27480e6i 0.174513 + 0.764590i
\(584\) −929914. 1.16608e6i −0.112826 0.141480i
\(585\) 795664. 383171.i 0.0961258 0.0462917i
\(586\) 1.79203e7 8.62997e6i 2.15577 1.03816i
\(587\) 682723. + 2.99120e6i 0.0817804 + 0.358303i 0.999216 0.0395801i \(-0.0126020\pi\)
−0.917436 + 0.397883i \(0.869745\pi\)
\(588\) 505197. 633497.i 0.0602584 0.0755617i
\(589\) 1.96386e6 + 945747.i 0.233251 + 0.112328i
\(590\) 485758. 609122.i 0.0574500 0.0720401i
\(591\) 322073. 1.41109e6i 0.0379302 0.166183i
\(592\) −1.02640e7 + 4.94287e6i −1.20368 + 0.579662i
\(593\) 1.72331e6 7.55031e6i 0.201246 0.881715i −0.768934 0.639328i \(-0.779213\pi\)
0.970180 0.242387i \(-0.0779303\pi\)
\(594\) 1.92414e6 + 926616.i 0.223754 + 0.107754i
\(595\) 896566. 0.103822
\(596\) 4.11472e6 0.474487
\(597\) 102158. + 49196.9i 0.0117311 + 0.00564940i
\(598\) 2.71951e6 + 1.19149e7i 0.310984 + 1.36251i
\(599\) −1.87888e6 2.35604e6i −0.213960 0.268297i 0.663257 0.748392i \(-0.269174\pi\)
−0.877217 + 0.480095i \(0.840602\pi\)
\(600\) −107725. + 135083.i −0.0122163 + 0.0153188i
\(601\) −20071.2 −0.00226667 −0.00113333 0.999999i \(-0.500361\pi\)
−0.00113333 + 0.999999i \(0.500361\pi\)
\(602\) −1.60282e7 4.11177e6i −1.80257 0.462421i
\(603\) −9.38682e6 −1.05130
\(604\) −5.04061e6 + 6.32073e6i −0.562200 + 0.704977i
\(605\) 194534. + 243938.i 0.0216077 + 0.0270951i
\(606\) −416423. 1.82447e6i −0.0460631 0.201816i
\(607\) −1.09962e7 5.29550e6i −1.21136 0.583358i −0.284464 0.958687i \(-0.591816\pi\)
−0.926892 + 0.375328i \(0.877530\pi\)
\(608\) 2.27543e7 2.49634
\(609\) 2.25534e6 0.246416
\(610\) 382347. + 184129.i 0.0416039 + 0.0200354i
\(611\) −84831.8 + 371673.i −0.00919297 + 0.0402770i
\(612\) 8.28729e6 3.99095e6i 0.894404 0.430723i
\(613\) 3.01694e6 1.32181e7i 0.324277 1.42075i −0.505584 0.862777i \(-0.668723\pi\)
0.829860 0.557971i \(-0.188420\pi\)
\(614\) −699979. + 877746.i −0.0749314 + 0.0939610i
\(615\) 67696.7 + 32601.0i 0.00721739 + 0.00347571i
\(616\) 837183. 1.04979e6i 0.0888932 0.111469i
\(617\) −1.97942e6 8.67241e6i −0.209327 0.917121i −0.965016 0.262191i \(-0.915555\pi\)
0.755689 0.654930i \(-0.227302\pi\)
\(618\) −1.71934e6 + 827989.i −0.181088 + 0.0872074i
\(619\) 1.55567e7 7.49170e6i 1.63189 0.785876i 0.631947 0.775011i \(-0.282256\pi\)
0.999941 0.0108645i \(-0.00345835\pi\)
\(620\) 50605.5 + 63457.3i 0.00528712 + 0.00662983i
\(621\) −350350. 1.53498e6i −0.0364564 0.159726i
\(622\) −1.00299e6 + 4.39437e6i −0.103949 + 0.455429i
\(623\) 7.08158e6 + 8.88003e6i 0.730988 + 0.916630i
\(624\) 1.39414e6 + 1.74819e6i 0.143332 + 0.179733i
\(625\) −2.14329e6 + 9.39039e6i −0.219473 + 0.961576i
\(626\) −1.57467e6 6.89908e6i −0.160603 0.703648i
\(627\) −1.02750e6 1.28845e6i −0.104379 0.130887i
\(628\) 6.37727e6 3.07113e6i 0.645261 0.310741i
\(629\) 1.23429e7 5.94403e6i 1.24391 0.599038i
\(630\) −274194. 1.20132e6i −0.0275237 0.120589i
\(631\) −973338. + 1.22053e6i −0.0973173 + 0.122032i −0.828106 0.560572i \(-0.810581\pi\)
0.730788 + 0.682604i \(0.239153\pi\)
\(632\) −1.38860e6 668714.i −0.138288 0.0665959i
\(633\) 974150. 1.22155e6i 0.0966310 0.121171i
\(634\) −4.71467e6 + 2.06563e7i −0.465830 + 2.04094i
\(635\) 366887. 176684.i 0.0361076 0.0173885i
\(636\) −296158. + 1.29755e6i −0.0290323 + 0.127199i
\(637\) 1.23238e7 + 5.93485e6i 1.20337 + 0.579510i
\(638\) −1.37714e7 −1.33945
\(639\) −1.35535e6 −0.131311
\(640\) −189330. 91176.7i −0.0182713 0.00879901i
\(641\) 2.68910e6 + 1.17817e7i 0.258501 + 1.13257i 0.922855 + 0.385148i \(0.125850\pi\)
−0.664354 + 0.747418i \(0.731293\pi\)
\(642\) −450425. 564815.i −0.0431305 0.0540840i
\(643\) 1.23466e6 1.54822e6i 0.117766 0.147674i −0.719454 0.694540i \(-0.755608\pi\)
0.837220 + 0.546866i \(0.184179\pi\)
\(644\) 8.03127e6 0.763079
\(645\) 74401.6 56148.2i 0.00704179 0.00531418i
\(646\) −3.04023e7 −2.86632
\(647\) −9.02827e6 + 1.13211e7i −0.847899 + 1.06323i 0.149327 + 0.988788i \(0.452289\pi\)
−0.997225 + 0.0744432i \(0.976282\pi\)
\(648\) 954398. + 1.19678e6i 0.0892878 + 0.111963i
\(649\) 1.65233e6 + 7.23933e6i 0.153987 + 0.674663i
\(650\) 2.13202e7 + 1.02673e7i 1.97929 + 0.953174i
\(651\) 268992. 0.0248764
\(652\) −3.66898e6 −0.338007
\(653\) 1.03643e7 + 4.99118e6i 0.951166 + 0.458057i 0.844095 0.536194i \(-0.180138\pi\)
0.107071 + 0.994251i \(0.465853\pi\)
\(654\) 53440.9 234140.i 0.00488573 0.0214058i
\(655\) 856474. 412456.i 0.0780030 0.0375643i
\(656\) 2.44464e6 1.07107e7i 0.221797 0.971755i
\(657\) 8.13343e6 1.01990e7i 0.735124 0.921816i
\(658\) 479253. + 230796.i 0.0431520 + 0.0207809i
\(659\) 8.77342e6 1.10015e7i 0.786965 0.986823i −0.212987 0.977055i \(-0.568319\pi\)
0.999952 0.00976798i \(-0.00310929\pi\)
\(660\) −13655.0 59826.5i −0.00122020 0.00534605i
\(661\) −186810. + 89963.1i −0.0166302 + 0.00800868i −0.442180 0.896926i \(-0.645795\pi\)
0.425550 + 0.904935i \(0.360081\pi\)
\(662\) −7.25571e6 + 3.49417e6i −0.643480 + 0.309884i
\(663\) −1.67651e6 2.10228e6i −0.148123 0.185741i
\(664\) −742716. 3.25405e6i −0.0653737 0.286421i
\(665\) −426834. + 1.87008e6i −0.0374287 + 0.163986i
\(666\) −1.17393e7 1.47206e7i −1.02555 1.28600i
\(667\) 6.33012e6 + 7.93772e6i 0.550931 + 0.690846i
\(668\) −1.70054e6 + 7.45057e6i −0.147451 + 0.646024i
\(669\) −171084. 749568.i −0.0147790 0.0647509i
\(670\) 720309. + 903238.i 0.0619914 + 0.0777348i
\(671\) −3.64412e6 + 1.75492e6i −0.312455 + 0.150470i
\(672\) 2.52995e6 1.21836e6i 0.216117 0.104076i
\(673\) −2.13645e6 9.36038e6i −0.181825 0.796628i −0.980761 0.195212i \(-0.937460\pi\)
0.798936 0.601416i \(-0.205397\pi\)
\(674\) −1.73589e7 + 2.17674e7i −1.47188 + 1.84568i
\(675\) −2.74665e6 1.32272e6i −0.232030 0.111740i
\(676\) 1.03980e7 1.30387e7i 0.875152 1.09741i
\(677\) −2.01410e6 + 8.82433e6i −0.168892 + 0.739963i 0.817551 + 0.575857i \(0.195331\pi\)
−0.986443 + 0.164107i \(0.947526\pi\)
\(678\) 1.82807e6 880352.i 0.152728 0.0735499i
\(679\) −2.03953e6 + 8.93575e6i −0.169768 + 0.743800i
\(680\) 125717. + 60542.2i 0.0104261 + 0.00502095i
\(681\) −372688. −0.0307948
\(682\) −1.64250e6 −0.135221
\(683\) −1.04690e7 5.04160e6i −0.858723 0.413539i −0.0479151 0.998851i \(-0.515258\pi\)
−0.810808 + 0.585312i \(0.800972\pi\)
\(684\) 4.37905e6 + 1.91859e7i 0.357882 + 1.56798i
\(685\) −567008. 711005.i −0.0461703 0.0578957i
\(686\) −2.40158e6 + 3.01149e6i −0.194844 + 0.244327i
\(687\) −201047. −0.0162520
\(688\) −1.04244e7 8.77892e6i −0.839618 0.707083i
\(689\) −2.24676e7 −1.80306
\(690\) −59890.4 + 75100.2i −0.00478889 + 0.00600508i
\(691\) −1.15293e7 1.44573e7i −0.918562 1.15184i −0.988031 0.154257i \(-0.950702\pi\)
0.0694684 0.997584i \(-0.477870\pi\)
\(692\) −2.66424e6 1.16728e7i −0.211499 0.926638i
\(693\) 1.05811e7 + 5.09560e6i 0.836948 + 0.403053i
\(694\) −8.05756e6 −0.635046
\(695\) −1.04346e6 −0.0819435
\(696\) 316245. + 152296.i 0.0247458 + 0.0119169i
\(697\) −2.93979e6 + 1.28801e7i −0.229211 + 1.00424i
\(698\) −2.26360e7 + 1.09009e7i −1.75858 + 0.846887i
\(699\) −583148. + 2.55494e6i −0.0451425 + 0.197782i
\(700\) 9.69564e6 1.21579e7i 0.747879 0.937810i
\(701\) −4.04172e6 1.94639e6i −0.310650 0.149601i 0.272063 0.962280i \(-0.412294\pi\)
−0.582712 + 0.812679i \(0.698008\pi\)
\(702\) −4.64821e6 + 5.82867e6i −0.355994 + 0.446403i
\(703\) 6.52205e6 + 2.85750e7i 0.497732 + 2.18071i
\(704\) −6.36800e6 + 3.06666e6i −0.484252 + 0.233203i
\(705\) −2699.64 + 1300.08i −0.000204566 + 9.85139e-5i
\(706\) 1.49442e7 + 1.87395e7i 1.12840 + 1.41496i
\(707\) −4.61960e6 2.02398e7i −0.347581 1.52285i
\(708\) −341682. + 1.49701e6i −0.0256176 + 0.112238i
\(709\) 7.53030e6 + 9.44270e6i 0.562596 + 0.705473i 0.979035 0.203690i \(-0.0652935\pi\)
−0.416439 + 0.909164i \(0.636722\pi\)
\(710\) 104004. + 130417.i 0.00774294 + 0.00970934i
\(711\) 2.99964e6 1.31423e7i 0.222533 0.974982i
\(712\) 393346. + 1.72336e6i 0.0290787 + 0.127402i
\(713\) 754988. + 946726.i 0.0556181 + 0.0697429i
\(714\) −3.38030e6 + 1.62786e6i −0.248147 + 0.119501i
\(715\) 933330. 449468.i 0.0682763 0.0328801i
\(716\) −2.38429e6 1.04463e7i −0.173811 0.761514i
\(717\) 345078. 432715.i 0.0250680 0.0314343i
\(718\) 2.49195e7 + 1.20006e7i 1.80397 + 0.868745i
\(719\) 9.22241e6 1.15645e7i 0.665307 0.834268i −0.328603 0.944468i \(-0.606578\pi\)
0.993909 + 0.110200i \(0.0351491\pi\)
\(720\) 225832. 989433.i 0.0162351 0.0711304i
\(721\) −1.90735e7 + 9.18532e6i −1.36645 + 0.658046i
\(722\) 1.01886e7 4.46391e7i 0.727396 3.18693i
\(723\) −637438. 306974.i −0.0453515 0.0218402i
\(724\) −1.67922e7 −1.19059
\(725\) 1.96583e7 1.38899
\(726\) −1.17636e6 566504.i −0.0828319 0.0398897i
\(727\) −775673. 3.39844e6i −0.0544305 0.238476i 0.940394 0.340088i \(-0.110457\pi\)
−0.994824 + 0.101613i \(0.967600\pi\)
\(728\) 2.92247e6 + 3.66466e6i 0.204372 + 0.256275i
\(729\) −8.04559e6 + 1.00889e7i −0.560711 + 0.703110i
\(730\) −1.60552e6 −0.111509
\(731\) 1.25359e7 + 1.05571e7i 0.867684 + 0.730718i
\(732\) −836389. −0.0576940
\(733\) −2.57473e6 + 3.22861e6i −0.177000 + 0.221950i −0.862415 0.506202i \(-0.831049\pi\)
0.685416 + 0.728152i \(0.259621\pi\)
\(734\) −2.35085e7 2.94788e7i −1.61059 2.01962i
\(735\) 23923.0 + 104814.i 0.00163342 + 0.00715647i
\(736\) 1.13889e7 + 5.48462e6i 0.774976 + 0.373209i
\(737\) −1.10109e7 −0.746716
\(738\) 1.81573e7 1.22718
\(739\) 1.91120e7 + 9.20384e6i 1.28734 + 0.619952i 0.947267 0.320446i \(-0.103833\pi\)
0.340076 + 0.940398i \(0.389547\pi\)
\(740\) −242857. + 1.06403e6i −0.0163032 + 0.0714289i
\(741\) 5.18314e6 2.49607e6i 0.346775 0.166998i
\(742\) −6.97583e6 + 3.05631e7i −0.465142 + 2.03792i
\(743\) −4.77007e6 + 5.98148e6i −0.316995 + 0.397500i −0.914645 0.404258i \(-0.867530\pi\)
0.597650 + 0.801757i \(0.296101\pi\)
\(744\) 37718.4 + 18164.2i 0.00249816 + 0.00120305i
\(745\) −340395. + 426841.i −0.0224694 + 0.0281758i
\(746\) −3.45450e6 1.51352e7i −0.227268 0.995726i
\(747\) 2.63022e7 1.26665e7i 1.72461 0.830529i
\(748\) 9.72116e6 4.68147e6i 0.635279 0.305934i
\(749\) −4.99680e6 6.26579e6i −0.325452 0.408104i
\(750\) 82963.6 + 363487.i 0.00538561 + 0.0235959i
\(751\) 2.27448e6 9.96515e6i 0.147157 0.644739i −0.846509 0.532374i \(-0.821300\pi\)
0.993667 0.112365i \(-0.0358427\pi\)
\(752\) 273157. + 342528.i 0.0176144 + 0.0220877i
\(753\) −1.27206e6 1.59511e6i −0.0817560 0.102519i
\(754\) 1.06974e7 4.68684e7i 0.685251 3.00228i
\(755\) −238692. 1.04578e6i −0.0152395 0.0667686i
\(756\) 3.05457e6 + 3.83032e6i 0.194378 + 0.243742i
\(757\) −1.40787e7 + 6.77994e6i −0.892941 + 0.430018i −0.823334 0.567557i \(-0.807889\pi\)
−0.0696065 + 0.997575i \(0.522174\pi\)
\(758\) 2.12554e7 1.02360e7i 1.34368 0.647082i
\(759\) −203720. 892556.i −0.0128360 0.0562382i
\(760\)