Properties

Label 43.6.e.a.11.4
Level 43
Weight 6
Character 43.11
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 43.11
Dual form 43.6.e.a.4.4

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.84915 6.08065i −0.857218 1.07492i −0.996411 0.0846516i \(-0.973022\pi\)
0.139193 0.990265i \(-0.455549\pi\)
\(3\) 1.26806 1.59010i 0.0813460 0.102005i −0.739493 0.673164i \(-0.764935\pi\)
0.820839 + 0.571159i \(0.193506\pi\)
\(4\) −6.33931 + 27.7743i −0.198103 + 0.867947i
\(5\) 3.40560 1.64005i 0.0609213 0.0293381i −0.403175 0.915123i \(-0.632093\pi\)
0.464096 + 0.885785i \(0.346379\pi\)
\(6\) −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 0.991274 + 0.131821i \(0.0420825\pi\)
−0.835911 + 0.548864i \(0.815060\pi\)
\(12\) 36.1252 + 45.2996i 0.0724198 + 0.0908115i
\(13\) 881.242 424.384i 1.44623 0.696467i 0.464293 0.885682i \(-0.346309\pi\)
0.981936 + 0.189215i \(0.0605943\pi\)
\(14\) 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 −0.153681 0.988120i \(-0.549113\pi\)
−0.868362 + 0.495930i \(0.834827\pi\)
\(18\) 1158.29 1452.45i 0.842626 1.05662i
\(19\) −643.515 + 2819.42i −0.408954 + 1.79175i 0.180095 + 0.983649i \(0.442359\pi\)
−0.589050 + 0.808097i \(0.700498\pi\)
\(20\) 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 0.995224 + 0.0976160i \(0.0311217\pi\)
−0.854312 + 0.519761i \(0.826021\pi\)
\(24\) −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 −0.995107 0.0988029i \(-0.968499\pi\)
0.125106 0.992143i \(-0.460073\pi\)
\(30\) −53.8692 + 25.9420i −0.0109279 + 0.00526261i
\(31\) −469.941 589.287i −0.0878292 0.110134i 0.735975 0.677009i \(-0.236724\pi\)
−0.823804 + 0.566874i \(0.808153\pi\)
\(32\) −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 0.979682 0.200558i \(-0.0642755\pi\)
−0.413529 + 0.910491i \(0.635704\pi\)
\(42\) 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 −0.971984 0.235048i \(-0.924475\pi\)
0.977711 + 0.209957i \(0.0673323\pi\)
\(48\) 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 −0.147024 0.989133i \(-0.546969\pi\)
−0.865003 + 0.501767i \(0.832684\pi\)
\(54\) −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 −0.0696423 0.997572i \(-0.522186\pi\)
−0.823355 + 0.567527i \(0.807900\pi\)
\(60\) 197.322 + 95.0251i 0.00707614 + 0.00340769i
\(61\) −9000.30 + 11286.0i −0.309694 + 0.388344i −0.912183 0.409783i \(-0.865604\pi\)
0.602489 + 0.798127i \(0.294176\pi\)
\(62\) −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 0.704830 + 0.709376i \(0.251023\pi\)
−0.942817 + 0.333311i \(0.891834\pi\)
\(68\) 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 −0.987613 0.156906i \(-0.949848\pi\)
0.957888 + 0.287142i \(0.0927050\pi\)
\(72\) −4067.23 5100.14i −0.0924628 0.115945i
\(73\) 49204.4 23695.6i 1.08068 0.520428i 0.193146 0.981170i \(-0.438131\pi\)
0.887534 + 0.460742i \(0.152417\pi\)
\(74\) 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 0.428810 0.903395i \(-0.358933\pi\)
0.785325 0.619083i \(-0.212496\pi\)
\(84\) −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 −0.974732 0.223378i \(-0.928292\pi\)
0.434676 + 0.900587i \(0.356863\pi\)
\(90\) 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 0.998122 + 0.0612600i \(0.0195119\pi\)
−0.872697 + 0.488262i \(0.837631\pi\)
\(98\) −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 −0.667862 0.744285i \(-0.732790\pi\)
0.924656 0.380803i \(-0.124352\pi\)
\(102\) 19263.6 + 9276.88i 0.183332 + 0.0882880i
\(103\) 108696. + 52345.3i 1.00953 + 0.486166i 0.864164 0.503211i \(-0.167848\pi\)
0.145371 + 0.989377i \(0.453562\pi\)
\(104\) −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 −0.646937 0.762544i \(-0.723950\pi\)
0.887382 + 0.461035i \(0.152522\pi\)
\(108\) −17407.4 + 21828.2i −0.143607 + 0.180077i
\(109\) −3378.53 14802.3i −0.0272371 0.119334i 0.959482 0.281771i \(-0.0909217\pi\)
−0.986719 + 0.162437i \(0.948065\pi\)
\(110\) 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 −0.0433232 0.999061i \(-0.513795\pi\)
−0.808109 + 0.589033i \(0.799509\pi\)
\(114\) 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 0.931481 0.363790i \(-0.118517\pi\)
−0.561943 + 0.827176i \(0.689946\pi\)
\(128\) −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 0.999768 + 0.0215520i \(0.00686074\pi\)
−0.201458 + 0.979497i \(0.564568\pi\)
\(132\) −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 −0.856403 0.516307i \(-0.827306\pi\)
−0.130294 + 0.991475i \(0.541592\pi\)
\(138\) −5654.77 24775.2i −0.0252765 0.110744i
\(139\) −248715. 119775.i −1.09186 0.525810i −0.200767 0.979639i \(-0.564343\pi\)
−0.891089 + 0.453829i \(0.850058\pi\)
\(140\) −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 −0.998972 0.0453297i \(-0.985566\pi\)
0.880375 0.474278i \(-0.157291\pi\)
\(150\) 30678.6 38469.8i 0.111329 0.139602i
\(151\) −176934. + 221869.i −0.631495 + 0.791870i −0.989911 0.141692i \(-0.954746\pi\)
0.358416 + 0.933562i \(0.383317\pi\)
\(152\) −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 −0.803079 0.595872i \(-0.796807\pi\)
0.982089 0.188419i \(-0.0603363\pi\)
\(158\) −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 0.999442 0.0333997i \(-0.0106334\pi\)
−0.914958 + 0.403550i \(0.867776\pi\)
\(164\) −250868. + 120811.i −0.728341 + 0.350751i
\(165\) 2154.02 0.00615942
\(166\) −950539. −2.67732
\(167\) −241688. + 116391.i −0.670602 + 0.322945i −0.738019 0.674780i \(-0.764238\pi\)
0.0674171 + 0.997725i \(0.478524\pi\)
\(168\) 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 0.873710 + 0.486446i \(0.161707\pi\)
−0.576125 + 0.817362i \(0.695436\pi\)
\(182\) 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 −0.835530 0.549444i \(-0.814839\pi\)
0.991182 0.132509i \(-0.0423034\pi\)
\(192\) 11416.1 + 50017.3i 0.0223494 + 0.0979190i
\(193\) 67978.5 85242.4i 0.131365 0.164726i −0.711799 0.702384i \(-0.752119\pi\)
0.843163 + 0.537657i \(0.180691\pi\)
\(194\) 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 0.184667 + 0.982801i \(0.440879\pi\)
−0.999253 + 0.0386564i \(0.987692\pi\)
\(198\) 468978. + 225848.i 0.850138 + 0.409405i
\(199\) 50230.1 + 24189.6i 0.0899149 + 0.0433007i 0.478301 0.878196i \(-0.341253\pi\)
−0.388386 + 0.921497i \(0.626967\pi\)
\(200\) 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 0.652165 + 0.758077i \(0.273861\pi\)
−0.916497 + 0.400041i \(0.868996\pi\)
\(212\) 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 −0.648916 0.760860i \(-0.724777\pi\)
0.190272 + 0.981731i \(0.439063\pi\)
\(224\) 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 0.702786 0.711401i \(-0.251939\pi\)
−0.849949 + 0.526864i \(0.823368\pi\)
\(228\) −150966. + 72701.3i −0.192328 + 0.0926201i
\(229\) −61633.6 77286.1i −0.0776657 0.0973897i 0.741481 0.670974i \(-0.234124\pi\)
−0.819146 + 0.573584i \(0.805552\pi\)
\(230\) 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 −0.00698104 0.999976i \(-0.502222\pi\)
0.976458 0.215709i \(-0.0692064\pi\)
\(234\) 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 −0.997572 0.0696441i \(-0.977814\pi\)
0.928999 + 0.370083i \(0.120671\pi\)
\(240\) 5387.70 6755.96i 0.00603775 0.00757110i
\(241\) −313421. 150935.i −0.347604 0.167397i 0.251932 0.967745i \(-0.418934\pi\)
−0.599536 + 0.800348i \(0.704648\pi\)
\(242\) −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 −0.838500 0.544902i \(-0.816567\pi\)
−0.0967743 + 0.995306i \(0.530852\pi\)
\(264\) −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 0.936981 0.349380i \(-0.113608\pi\)
−0.995781 + 0.0917599i \(0.970751\pi\)
\(270\) −17963.2 22525.2i −0.0149960 0.0188044i
\(271\) −199948. + 96290.0i −0.165384 + 0.0796449i −0.514745 0.857344i \(-0.672113\pi\)
0.349360 + 0.936989i \(0.386399\pi\)
\(272\) −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 −0.481181 0.876621i \(-0.659792\pi\)
0.813881 0.581032i \(-0.197351\pi\)
\(278\) 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 0.986180 0.165675i \(-0.0529804\pi\)
−0.960402 + 0.278619i \(0.910123\pi\)
\(282\) −1371.89 + 6010.66i −0.00102730 + 0.00450090i
\(283\) −563936. + 707153.i −0.418566 + 0.524865i −0.945754 0.324884i \(-0.894675\pi\)
0.527188 + 0.849749i \(0.323246\pi\)
\(284\) −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 −0.997792 0.0664177i \(-0.978843\pi\)
−0.570186 + 0.821516i \(0.693129\pi\)
\(294\) −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 0.580638 0.814162i \(-0.302803\pi\)
−0.274515 + 0.961583i \(0.588517\pi\)
\(312\) 12088.9 + 52964.8i 0.00703071 + 0.0308035i
\(313\) −567298. 711369.i −0.327303 0.410425i 0.590768 0.806842i \(-0.298825\pi\)
−0.918071 + 0.396417i \(0.870254\pi\)
\(314\) −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 0.967244 0.253848i \(-0.0816963\pi\)
0.404601 + 0.914494i \(0.367411\pi\)
\(318\) 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 −0.184978 0.982743i \(-0.559221\pi\)
0.653007 + 0.757352i \(0.273507\pi\)
\(332\) 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 −0.616702 0.787197i \(-0.711532\pi\)
0.904689 + 0.426072i \(0.140103\pi\)
\(348\) 81477.4 356976.i 0.0360652 0.158012i
\(349\) 2.91047e6 1.40161e6i 1.27909 0.615976i 0.333932 0.942597i \(-0.391625\pi\)
0.945155 + 0.326622i \(0.105910\pi\)
\(350\) −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 0.880448 + 0.474144i \(0.157242\pi\)
−0.587533 + 0.809201i \(0.699901\pi\)
\(354\) 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 0.506191 + 0.862421i \(0.331053\pi\)
−0.830253 + 0.557387i \(0.811804\pi\)
\(360\) −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 −0.543192 0.839608i \(-0.682785\pi\)
0.125107 0.992143i \(-0.460073\pi\)
\(368\) −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 0.494318 0.869281i \(-0.335418\pi\)
−0.957483 + 0.288491i \(0.906846\pi\)
\(374\) −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 −0.853180 0.521616i \(-0.825329\pi\)
−0.124133 + 0.992266i \(0.539615\pi\)
\(380\) −311417. −0.110633
\(381\) 219103. 0.0773279
\(382\) −2.47123e6 + 1.19008e6i −0.866471 + 0.417270i
\(383\) −652092. + 2.85700e6i −0.227150 + 0.995207i 0.724802 + 0.688957i \(0.241931\pi\)
−0.951951 + 0.306250i \(0.900926\pi\)
\(384\) −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 0.992886 + 0.119069i \(0.0379910\pi\)
−0.104854 + 0.994488i \(0.533438\pi\)
\(390\) −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 0.700320 0.713829i \(-0.253041\pi\)
−0.121452 + 0.992597i \(0.538755\pi\)
\(398\) −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 0.873261 0.487252i \(-0.162001\pi\)
−0.669354 + 0.742943i \(0.733429\pi\)
\(402\) 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 −0.870606 0.491980i \(-0.836273\pi\)
0.673373 + 0.739303i \(0.264845\pi\)
\(410\) −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 0.962679 + 0.270644i \(0.0872368\pi\)
−0.749916 + 0.661533i \(0.769906\pi\)
\(420\) −34625.1 16674.6i −0.00957785 0.00461245i
\(421\) 1.41868e6 + 6.21564e6i 0.390102 + 1.70915i 0.664290 + 0.747475i \(0.268734\pi\)
−0.274188 + 0.961676i \(0.588409\pi\)
\(422\) 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 −0.978583 0.205854i \(-0.934003\pi\)
0.418448 + 0.908241i \(0.362574\pi\)
\(434\) 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 −0.999369 0.0355303i \(-0.988688\pi\)
0.884984 0.465621i \(-0.154169\pi\)
\(440\) −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 −0.936951 0.349462i \(-0.886364\pi\)
−0.310959 + 0.950423i \(0.600650\pi\)
\(444\) −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 −0.953611 0.301042i \(-0.902666\pi\)
0.989791 + 0.142527i \(0.0455226\pi\)
\(450\) 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 0.456670 0.889636i \(-0.349042\pi\)
−0.410816 + 0.911718i \(0.634756\pi\)
\(458\) −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 0.733776 0.679392i \(-0.237756\pi\)
−0.825638 + 0.564200i \(0.809185\pi\)
\(462\) 173057. + 758213.i 0.0377211 + 0.165267i
\(463\) 5.18262e6 + 2.49582e6i 1.12356 + 0.541079i 0.900991 0.433838i \(-0.142841\pi\)
0.222571 + 0.974917i \(0.428555\pi\)
\(464\) −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 0.707073 0.707141i \(-0.250015\pi\)
−0.846750 + 0.531991i \(0.821444\pi\)
\(488\) 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 −0.437162 0.899383i \(-0.644016\pi\)
0.974111 + 0.226070i \(0.0725877\pi\)
\(492\) −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 −0.104922 0.994481i \(-0.533459\pi\)
−0.842934 + 0.538018i \(0.819173\pi\)
\(500\) −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 −0.360046 0.932934i \(-0.617239\pi\)
0.504912 + 0.863171i \(0.331525\pi\)
\(504\) 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 0.0451813 0.998979i \(-0.485613\pi\)
0.809203 + 0.587529i \(0.199899\pi\)
\(522\) −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 −0.565734 0.824588i \(-0.691407\pi\)
0.929801 + 0.368062i \(0.119978\pi\)
\(542\) 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 0.329974 0.943990i \(-0.392960\pi\)
−0.993748 + 0.111643i \(0.964389\pi\)
\(548\) −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 0.893582 0.448901i \(-0.148184\pi\)
−0.636486 + 0.771288i \(0.719613\pi\)
\(558\) −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 −0.764541 0.644575i \(-0.777034\pi\)
0.968498 0.249020i \(-0.0801086\pi\)
\(564\) 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 0.556755 0.830677i \(-0.312046\pi\)
−0.302318 + 0.953207i \(0.597761\pi\)
\(570\) −38476.0 168574.i −0.00496024 0.0217322i
\(571\) −4.22465e6 5.29754e6i −0.542251 0.679961i 0.432915 0.901435i \(-0.357485\pi\)
−0.975166 + 0.221473i \(0.928913\pi\)
\(572\) −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 −0.999874 0.0158555i \(-0.994953\pi\)
0.237951 + 0.971277i \(0.423524\pi\)
\(578\) 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 −0.917436 0.397883i \(-0.869745\pi\)
0.999216 + 0.0395801i \(0.0126020\pi\)
\(588\) 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 0.970180 + 0.242387i \(0.0779303\pi\)
−0.768934 + 0.639328i \(0.779213\pi\)
\(594\) 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 −0.877217 0.480095i \(-0.840602\pi\)
0.663257 + 0.748392i \(0.269174\pi\)
\(600\) −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 −0.926892 0.375328i \(-0.877530\pi\)
−0.284464 + 0.958687i \(0.591816\pi\)
\(608\) 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 0.829860 + 0.557971i \(0.188420\pi\)
−0.505584 + 0.862777i \(0.668723\pi\)
\(614\) −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 0.755689 + 0.654930i \(0.227302\pi\)
−0.965016 + 0.262191i \(0.915555\pi\)
\(618\) −1.71934e6 827989.i −0.181088 0.0872074i
\(619\) 1.55567e7 + 7.49170e6i 1.63189 + 0.785876i 0.999941 + 0.0108645i \(0.00345835\pi\)
0.631947 + 0.775011i \(0.282256\pi\)
\(620\) 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 0.730788 0.682604i \(-0.239153\pi\)
−0.828106 + 0.560572i \(0.810581\pi\)
\(632\) −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 −0.664354 0.747418i \(-0.731293\pi\)
0.922855 0.385148i \(-0.125850\pi\)
\(642\) −450425. + 564815.i −0.0431305 + 0.0540840i
\(643\) 1.23466e6 + 1.54822e6i 0.117766 + 0.147674i 0.837220 0.546866i \(-0.184179\pi\)
−0.719454 + 0.694540i \(0.755608\pi\)
\(644\) 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 −0.997225 0.0744432i \(-0.976282\pi\)
0.149327 0.988788i \(-0.452289\pi\)
\(648\) 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 0.107071 0.994251i \(-0.465853\pi\)
0.844095 + 0.536194i \(0.180138\pi\)
\(654\) 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 0.999952 + 0.00976798i \(0.00310929\pi\)
−0.212987 + 0.977055i \(0.568319\pi\)
\(660\) −13655.0 + 59826.5i −0.00122020 + 0.00534605i
\(661\) −186810. 89963.1i −0.0166302 0.00800868i 0.425550 0.904935i \(-0.360081\pi\)
−0.442180 + 0.896926i \(0.645795\pi\)
\(662\) −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 0.798936 + 0.601416i \(0.205397\pi\)
−0.980761 + 0.195212i \(0.937460\pi\)
\(674\) −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 −0.986443 0.164107i \(-0.947526\pi\)
0.817551 0.575857i \(-0.195331\pi\)
\(678\) 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 −0.810808 0.585312i \(-0.800972\pi\)
−0.0479151 + 0.998851i \(0.515258\pi\)
\(684\) 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 0.0694684 + 0.997584i \(0.477870\pi\)
−0.988031 + 0.154257i \(0.950702\pi\)
\(692\) −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 −0.582712 0.812679i \(-0.698008\pi\)
0.272063 + 0.962280i \(0.412294\pi\)
\(702\) −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 −0.416439 0.909164i \(-0.636722\pi\)
0.979035 + 0.203690i \(0.0652935\pi\)
\(710\) 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 0.993909 0.110200i \(-0.0351491\pi\)
−0.328603 + 0.944468i \(0.606578\pi\)
\(720\) 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 −0.994824 0.101613i \(-0.967600\pi\)
0.940394 + 0.340088i \(0.110457\pi\)
\(728\) 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 0.685416 0.728152i \(-0.259621\pi\)
−0.862415 + 0.506202i \(0.831049\pi\)
\(734\) −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 0.340076 0.940398i \(-0.389547\pi\)
0.947267 + 0.320446i \(0.103833\pi\)
\(740\) −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 0.597650 0.801757i \(-0.296101\pi\)
−0.914645 + 0.404258i \(0.867530\pi\)
\(744\) 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 0.993667 + 0.112365i \(0.0358427\pi\)
−0.846509 + 0.532374i \(0.821300\pi\)
\(752\) 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 −0.0696065 0.997575i \(-0.522174\pi\)
−0.823334 + 0.567557i \(0.807889\pi\)
\(758\) 2.12554e7 + 1.02360e7i 1.34368 + 0.647082i