Properties

Label 43.4.e.a.11.8
Level $43$
Weight $4$
Character 43.11
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.8
Character \(\chi\) \(=\) 43.11
Dual form 43.4.e.a.4.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.80704 + 2.26595i) q^{2} +(-3.86902 + 4.85159i) q^{3} +(-0.0889949 + 0.389912i) q^{4} +(-19.3746 + 9.33033i) q^{5} -17.9850 q^{6} +25.5918 q^{7} +(19.8456 - 9.55715i) q^{8} +(-2.56060 - 11.2187i) q^{9} +O(q^{10})\) \(q+(1.80704 + 2.26595i) q^{2} +(-3.86902 + 4.85159i) q^{3} +(-0.0889949 + 0.389912i) q^{4} +(-19.3746 + 9.33033i) q^{5} -17.9850 q^{6} +25.5918 q^{7} +(19.8456 - 9.55715i) q^{8} +(-2.56060 - 11.2187i) q^{9} +(-56.1528 - 27.0418i) q^{10} +(9.85812 + 43.1912i) q^{11} +(-1.54737 - 1.94034i) q^{12} +(-20.3427 + 9.79652i) q^{13} +(46.2453 + 57.9898i) q^{14} +(29.6938 - 130.097i) q^{15} +(60.4006 + 29.0874i) q^{16} +(28.8475 + 13.8922i) q^{17} +(20.7941 - 26.0749i) q^{18} +(17.0592 - 74.7412i) q^{19} +(-1.91377 - 8.38476i) q^{20} +(-99.0150 + 124.161i) q^{21} +(-80.0554 + 100.386i) q^{22} +(-11.2158 - 49.1397i) q^{23} +(-30.4157 + 133.260i) q^{24} +(210.385 - 263.814i) q^{25} +(-58.9585 - 28.3929i) q^{26} +(-86.6183 - 41.7132i) q^{27} +(-2.27754 + 9.97855i) q^{28} +(-32.4464 - 40.6865i) q^{29} +(348.452 - 167.805i) q^{30} +(167.082 + 209.514i) q^{31} +(4.02374 + 17.6291i) q^{32} +(-247.688 - 119.280i) q^{33} +(20.6494 + 90.4710i) q^{34} +(-495.831 + 238.780i) q^{35} +4.60221 q^{36} +73.1460 q^{37} +(200.187 - 96.4049i) q^{38} +(31.1775 - 136.597i) q^{39} +(-295.330 + 370.332i) q^{40} +(80.0687 + 100.403i) q^{41} -460.267 q^{42} +(-241.708 - 145.204i) q^{43} -17.7181 q^{44} +(154.285 + 193.468i) q^{45} +(91.0809 - 114.212i) q^{46} +(-35.1914 + 154.183i) q^{47} +(-374.811 + 180.499i) q^{48} +311.939 q^{49} +977.964 q^{50} +(-179.011 + 86.2072i) q^{51} +(-2.00939 - 8.80371i) q^{52} +(377.673 + 181.878i) q^{53} +(-62.0024 - 271.650i) q^{54} +(-593.986 - 744.834i) q^{55} +(507.885 - 244.585i) q^{56} +(296.612 + 371.939i) q^{57} +(33.5619 - 147.044i) q^{58} +(-188.015 - 90.5433i) q^{59} +(48.0838 + 23.1559i) q^{60} +(191.479 - 240.107i) q^{61} +(-172.826 + 757.200i) q^{62} +(-65.5304 - 287.108i) q^{63} +(301.712 - 378.335i) q^{64} +(302.727 - 379.608i) q^{65} +(-177.298 - 776.792i) q^{66} +(-76.7970 + 336.470i) q^{67} +(-7.98404 + 10.0117i) q^{68} +(281.800 + 135.708i) q^{69} +(-1437.05 - 692.047i) q^{70} +(88.8221 - 389.155i) q^{71} +(-158.036 - 198.171i) q^{72} +(79.0252 - 38.0565i) q^{73} +(132.178 + 165.746i) q^{74} +(465.937 + 2041.40i) q^{75} +(27.6243 + 13.3032i) q^{76} +(252.287 + 1105.34i) q^{77} +(365.862 - 176.190i) q^{78} +221.031 q^{79} -1441.63 q^{80} +(817.430 - 393.654i) q^{81} +(-82.8213 + 362.864i) q^{82} +(270.491 - 339.185i) q^{83} +(-39.6000 - 49.6569i) q^{84} -688.529 q^{85} +(-107.750 - 810.089i) q^{86} +322.930 q^{87} +(608.426 + 762.942i) q^{88} +(-11.6726 + 14.6370i) q^{89} +(-159.589 + 699.207i) q^{90} +(-520.606 + 250.710i) q^{91} +20.1583 q^{92} -1662.92 q^{93} +(-412.965 + 198.873i) q^{94} +(366.845 + 1607.25i) q^{95} +(-101.097 - 48.6859i) q^{96} +(-74.3859 - 325.906i) q^{97} +(563.686 + 706.840i) q^{98} +(459.309 - 221.191i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} + O(q^{10}) \) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} - 61q^{10} + 83q^{11} + 33q^{12} + 107q^{13} - 299q^{14} + 109q^{15} + 41q^{16} + 181q^{17} - 414q^{18} + 284q^{19} - 363q^{20} - 88q^{21} + 421q^{22} + 231q^{23} - 937q^{24} + 213q^{25} + 139q^{26} - 27q^{27} + 29q^{28} - 367q^{29} + 1244q^{30} - 319q^{31} + 435q^{32} - 2594q^{33} - 583q^{34} - 902q^{35} + 1552q^{36} + 1020q^{37} + 1251q^{38} - 1571q^{39} + 1263q^{40} + 293q^{41} - 1830q^{42} + 1661q^{43} + 6512q^{44} + 1019q^{45} - 2786q^{46} - 287q^{47} - 95q^{48} + 772q^{49} - 282q^{50} + 1524q^{51} - 1511q^{52} - 1505q^{53} - 3489q^{54} - 1735q^{55} - 1237q^{56} + 1055q^{57} + 335q^{58} + 571q^{59} - 101q^{60} - 339q^{61} + 923q^{62} - 702q^{63} - 5163q^{64} + 2463q^{65} + 985q^{66} - 241q^{67} + 2904q^{68} + 2711q^{69} - 7698q^{70} - 2431q^{71} - 4340q^{72} - 2157q^{73} - 1294q^{74} - 242q^{75} - 4272q^{76} - 3962q^{77} - 2860q^{78} + 1092q^{79} + 11618q^{80} + 12060q^{81} + 4023q^{82} - 2664q^{83} + 3334q^{84} - 3446q^{85} + 10055q^{86} + 11874q^{87} + 9957q^{88} - 5811q^{89} - 1612q^{90} - 760q^{91} + 2120q^{92} + 3994q^{93} + 6057q^{94} + 379q^{95} - 2044q^{96} - 5509q^{97} - 9041q^{98} - 2012q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.80704 + 2.26595i 0.638885 + 0.801136i 0.990863 0.134872i \(-0.0430624\pi\)
−0.351978 + 0.936008i \(0.614491\pi\)
\(3\) −3.86902 + 4.85159i −0.744593 + 0.933690i −0.999446 0.0332901i \(-0.989401\pi\)
0.254853 + 0.966980i \(0.417973\pi\)
\(4\) −0.0889949 + 0.389912i −0.0111244 + 0.0487390i
\(5\) −19.3746 + 9.33033i −1.73292 + 0.834530i −0.747526 + 0.664232i \(0.768759\pi\)
−0.985393 + 0.170297i \(0.945527\pi\)
\(6\) −17.9850 −1.22372
\(7\) 25.5918 1.38183 0.690913 0.722938i \(-0.257209\pi\)
0.690913 + 0.722938i \(0.257209\pi\)
\(8\) 19.8456 9.55715i 0.877061 0.422370i
\(9\) −2.56060 11.2187i −0.0948372 0.415509i
\(10\) −56.1528 27.0418i −1.77571 0.855135i
\(11\) 9.85812 + 43.1912i 0.270212 + 1.18388i 0.909763 + 0.415128i \(0.136263\pi\)
−0.639551 + 0.768749i \(0.720880\pi\)
\(12\) −1.54737 1.94034i −0.0372240 0.0466774i
\(13\) −20.3427 + 9.79652i −0.434004 + 0.209005i −0.638113 0.769943i \(-0.720285\pi\)
0.204109 + 0.978948i \(0.434570\pi\)
\(14\) 46.2453 + 57.9898i 0.882827 + 1.10703i
\(15\) 29.6938 130.097i 0.511127 2.23939i
\(16\) 60.4006 + 29.0874i 0.943759 + 0.454490i
\(17\) 28.8475 + 13.8922i 0.411562 + 0.198198i 0.628196 0.778055i \(-0.283794\pi\)
−0.216634 + 0.976253i \(0.569508\pi\)
\(18\) 20.7941 26.0749i 0.272289 0.341440i
\(19\) 17.0592 74.7412i 0.205982 0.902464i −0.761228 0.648484i \(-0.775403\pi\)
0.967210 0.253980i \(-0.0817396\pi\)
\(20\) −1.91377 8.38476i −0.0213966 0.0937444i
\(21\) −99.0150 + 124.161i −1.02890 + 1.29020i
\(22\) −80.0554 + 100.386i −0.775812 + 0.972838i
\(23\) −11.2158 49.1397i −0.101681 0.445493i −0.999981 0.00611113i \(-0.998055\pi\)
0.898301 0.439382i \(-0.144802\pi\)
\(24\) −30.4157 + 133.260i −0.258690 + 1.13340i
\(25\) 210.385 263.814i 1.68308 2.11051i
\(26\) −58.9585 28.3929i −0.444720 0.214166i
\(27\) −86.6183 41.7132i −0.617396 0.297322i
\(28\) −2.27754 + 9.97855i −0.0153719 + 0.0673489i
\(29\) −32.4464 40.6865i −0.207764 0.260527i 0.667021 0.745039i \(-0.267569\pi\)
−0.874785 + 0.484511i \(0.838998\pi\)
\(30\) 348.452 167.805i 2.12061 1.02123i
\(31\) 167.082 + 209.514i 0.968025 + 1.21386i 0.976855 + 0.213904i \(0.0686179\pi\)
−0.00882972 + 0.999961i \(0.502811\pi\)
\(32\) 4.02374 + 17.6291i 0.0222282 + 0.0973882i
\(33\) −247.688 119.280i −1.30657 0.629212i
\(34\) 20.6494 + 90.4710i 0.104157 + 0.456343i
\(35\) −495.831 + 238.780i −2.39459 + 1.15317i
\(36\) 4.60221 0.0213065
\(37\) 73.1460 0.325004 0.162502 0.986708i \(-0.448044\pi\)
0.162502 + 0.986708i \(0.448044\pi\)
\(38\) 200.187 96.4049i 0.854595 0.411551i
\(39\) 31.1775 136.597i 0.128010 0.560848i
\(40\) −295.330 + 370.332i −1.16740 + 1.46387i
\(41\) 80.0687 + 100.403i 0.304991 + 0.382446i 0.910581 0.413330i \(-0.135634\pi\)
−0.605590 + 0.795776i \(0.707063\pi\)
\(42\) −460.267 −1.69097
\(43\) −241.708 145.204i −0.857212 0.514963i
\(44\) −17.7181 −0.0607070
\(45\) 154.285 + 193.468i 0.511100 + 0.640899i
\(46\) 91.0809 114.212i 0.291938 0.366079i
\(47\) −35.1914 + 154.183i −0.109217 + 0.478510i 0.890506 + 0.454971i \(0.150350\pi\)
−0.999723 + 0.0235388i \(0.992507\pi\)
\(48\) −374.811 + 180.499i −1.12707 + 0.542768i
\(49\) 311.939 0.909443
\(50\) 977.964 2.76610
\(51\) −179.011 + 86.2072i −0.491501 + 0.236695i
\(52\) −2.00939 8.80371i −0.00535869 0.0234780i
\(53\) 377.673 + 181.878i 0.978819 + 0.471375i 0.853699 0.520767i \(-0.174354\pi\)
0.125121 + 0.992142i \(0.460068\pi\)
\(54\) −62.0024 271.650i −0.156249 0.684573i
\(55\) −593.986 744.834i −1.45624 1.82606i
\(56\) 507.885 244.585i 1.21195 0.583642i
\(57\) 296.612 + 371.939i 0.689249 + 0.864291i
\(58\) 33.5619 147.044i 0.0759809 0.332894i
\(59\) −188.015 90.5433i −0.414873 0.199792i 0.214791 0.976660i \(-0.431093\pi\)
−0.629664 + 0.776868i \(0.716807\pi\)
\(60\) 48.0838 + 23.1559i 0.103460 + 0.0498237i
\(61\) 191.479 240.107i 0.401908 0.503977i −0.539156 0.842206i \(-0.681257\pi\)
0.941064 + 0.338230i \(0.109828\pi\)
\(62\) −172.826 + 757.200i −0.354015 + 1.55104i
\(63\) −65.5304 287.108i −0.131049 0.574161i
\(64\) 301.712 378.335i 0.589281 0.738936i
\(65\) 302.727 379.608i 0.577672 0.724378i
\(66\) −177.298 776.792i −0.330664 1.44874i
\(67\) −76.7970 + 336.470i −0.140034 + 0.613527i 0.855391 + 0.517982i \(0.173317\pi\)
−0.995425 + 0.0955453i \(0.969541\pi\)
\(68\) −7.98404 + 10.0117i −0.0142383 + 0.0178543i
\(69\) 281.800 + 135.708i 0.491663 + 0.236772i
\(70\) −1437.05 692.047i −2.45372 1.18165i
\(71\) 88.8221 389.155i 0.148468 0.650482i −0.844843 0.535014i \(-0.820306\pi\)
0.993311 0.115467i \(-0.0368366\pi\)
\(72\) −158.036 198.171i −0.258677 0.324370i
\(73\) 79.0252 38.0565i 0.126701 0.0610162i −0.369459 0.929247i \(-0.620457\pi\)
0.496161 + 0.868231i \(0.334743\pi\)
\(74\) 132.178 + 165.746i 0.207640 + 0.260372i
\(75\) 465.937 + 2041.40i 0.717357 + 3.14295i
\(76\) 27.6243 + 13.3032i 0.0416938 + 0.0200787i
\(77\) 252.287 + 1105.34i 0.373386 + 1.63591i
\(78\) 365.862 176.190i 0.531099 0.255764i
\(79\) 221.031 0.314783 0.157392 0.987536i \(-0.449692\pi\)
0.157392 + 0.987536i \(0.449692\pi\)
\(80\) −1441.63 −2.01474
\(81\) 817.430 393.654i 1.12130 0.539991i
\(82\) −82.8213 + 362.864i −0.111538 + 0.488678i
\(83\) 270.491 339.185i 0.357714 0.448559i −0.570115 0.821565i \(-0.693101\pi\)
0.927829 + 0.373006i \(0.121673\pi\)
\(84\) −39.6000 49.6569i −0.0514371 0.0645001i
\(85\) −688.529 −0.878605
\(86\) −107.750 810.089i −0.135104 1.01575i
\(87\) 322.930 0.397951
\(88\) 608.426 + 762.942i 0.737027 + 0.924203i
\(89\) −11.6726 + 14.6370i −0.0139022 + 0.0174327i −0.788734 0.614735i \(-0.789263\pi\)
0.774832 + 0.632167i \(0.217835\pi\)
\(90\) −159.589 + 699.207i −0.186913 + 0.818921i
\(91\) −520.606 + 250.710i −0.599718 + 0.288809i
\(92\) 20.1583 0.0228440
\(93\) −1662.92 −1.85416
\(94\) −412.965 + 198.873i −0.453129 + 0.218215i
\(95\) 366.845 + 1607.25i 0.396184 + 1.73579i
\(96\) −101.097 48.6859i −0.107481 0.0517603i
\(97\) −74.3859 325.906i −0.0778633 0.341141i 0.920959 0.389659i \(-0.127407\pi\)
−0.998822 + 0.0485181i \(0.984550\pi\)
\(98\) 563.686 + 706.840i 0.581029 + 0.728588i
\(99\) 459.309 221.191i 0.466285 0.224551i
\(100\) 84.1412 + 105.510i 0.0841412 + 0.105510i
\(101\) 290.054 1270.81i 0.285757 1.25198i −0.604529 0.796583i \(-0.706639\pi\)
0.890286 0.455401i \(-0.150504\pi\)
\(102\) −518.821 249.851i −0.503637 0.242539i
\(103\) −1877.96 904.379i −1.79652 0.865157i −0.931889 0.362744i \(-0.881840\pi\)
−0.864628 0.502413i \(-0.832446\pi\)
\(104\) −310.087 + 388.836i −0.292370 + 0.366621i
\(105\) 759.917 3329.41i 0.706288 3.09445i
\(106\) 270.343 + 1184.45i 0.247718 + 1.08532i
\(107\) 514.220 644.811i 0.464593 0.582582i −0.493245 0.869891i \(-0.664189\pi\)
0.957838 + 0.287309i \(0.0927607\pi\)
\(108\) 23.9731 30.0613i 0.0213593 0.0267838i
\(109\) 350.325 + 1534.87i 0.307844 + 1.34875i 0.857982 + 0.513679i \(0.171718\pi\)
−0.550138 + 0.835074i \(0.685425\pi\)
\(110\) 614.406 2691.89i 0.532557 2.33329i
\(111\) −283.003 + 354.875i −0.241995 + 0.303453i
\(112\) 1545.76 + 744.398i 1.30411 + 0.628027i
\(113\) −1355.79 652.912i −1.12869 0.543547i −0.226121 0.974099i \(-0.572605\pi\)
−0.902566 + 0.430552i \(0.858319\pi\)
\(114\) −306.809 + 1344.22i −0.252064 + 1.10436i
\(115\) 675.791 + 847.416i 0.547982 + 0.687147i
\(116\) 18.7517 9.03036i 0.0150091 0.00722800i
\(117\) 161.994 + 203.134i 0.128003 + 0.160511i
\(118\) −134.584 589.649i −0.104995 0.460013i
\(119\) 738.259 + 355.527i 0.568707 + 0.273875i
\(120\) −654.065 2865.64i −0.497564 2.17997i
\(121\) −569.111 + 274.069i −0.427581 + 0.205912i
\(122\) 890.082 0.660527
\(123\) −796.901 −0.584180
\(124\) −96.5615 + 46.5016i −0.0699313 + 0.0336771i
\(125\) −1016.51 + 4453.63i −0.727356 + 3.18676i
\(126\) 532.157 667.303i 0.376256 0.471810i
\(127\) 142.716 + 178.961i 0.0997168 + 0.125041i 0.829186 0.558973i \(-0.188804\pi\)
−0.729469 + 0.684014i \(0.760233\pi\)
\(128\) 1547.16 1.06836
\(129\) 1639.64 610.872i 1.11909 0.416932i
\(130\) 1407.21 0.949391
\(131\) 248.336 + 311.403i 0.165627 + 0.207690i 0.857718 0.514121i \(-0.171882\pi\)
−0.692091 + 0.721811i \(0.743310\pi\)
\(132\) 68.5517 85.9611i 0.0452020 0.0566815i
\(133\) 436.575 1912.76i 0.284631 1.24705i
\(134\) −901.201 + 433.995i −0.580984 + 0.279787i
\(135\) 2067.39 1.31802
\(136\) 705.268 0.444678
\(137\) −1179.61 + 568.073i −0.735630 + 0.354261i −0.763896 0.645340i \(-0.776716\pi\)
0.0282658 + 0.999600i \(0.491002\pi\)
\(138\) 201.716 + 883.775i 0.124429 + 0.545159i
\(139\) −1201.25 578.492i −0.733013 0.353000i 0.0298557 0.999554i \(-0.490495\pi\)
−0.762868 + 0.646554i \(0.776210\pi\)
\(140\) −48.9767 214.581i −0.0295663 0.129538i
\(141\) −611.880 767.273i −0.365458 0.458270i
\(142\) 1042.31 501.951i 0.615978 0.296640i
\(143\) −623.665 782.051i −0.364709 0.457331i
\(144\) 171.662 752.100i 0.0993413 0.435243i
\(145\) 1008.26 + 485.550i 0.577456 + 0.278088i
\(146\) 229.036 + 110.298i 0.129830 + 0.0625228i
\(147\) −1206.90 + 1513.40i −0.677165 + 0.849138i
\(148\) −6.50963 + 28.5205i −0.00361546 + 0.0158404i
\(149\) −420.672 1843.09i −0.231294 1.01337i −0.948568 0.316574i \(-0.897467\pi\)
0.717274 0.696791i \(-0.245390\pi\)
\(150\) −3783.76 + 4744.69i −2.05962 + 2.58268i
\(151\) 1318.05 1652.78i 0.710338 0.890736i −0.287410 0.957808i \(-0.592794\pi\)
0.997748 + 0.0670717i \(0.0213656\pi\)
\(152\) −375.763 1646.32i −0.200516 0.878517i
\(153\) 81.9863 359.206i 0.0433216 0.189804i
\(154\) −2048.76 + 2569.06i −1.07204 + 1.34429i
\(155\) −5191.98 2500.33i −2.69052 1.29568i
\(156\) 50.4864 + 24.3130i 0.0259112 + 0.0124782i
\(157\) 281.313 1232.51i 0.143002 0.626531i −0.851727 0.523986i \(-0.824444\pi\)
0.994728 0.102545i \(-0.0326985\pi\)
\(158\) 399.411 + 500.845i 0.201110 + 0.252184i
\(159\) −2343.62 + 1128.63i −1.16894 + 0.562931i
\(160\) −242.444 304.015i −0.119793 0.150216i
\(161\) −287.033 1257.57i −0.140505 0.615593i
\(162\) 2369.13 + 1140.91i 1.14899 + 0.553324i
\(163\) 9.54893 + 41.8366i 0.00458852 + 0.0201036i 0.977170 0.212457i \(-0.0681466\pi\)
−0.972582 + 0.232561i \(0.925289\pi\)
\(164\) −46.2740 + 22.2844i −0.0220329 + 0.0106105i
\(165\) 5911.77 2.78928
\(166\) 1257.37 0.587895
\(167\) −2105.79 + 1014.10i −0.975755 + 0.469899i −0.852643 0.522494i \(-0.825002\pi\)
−0.123112 + 0.992393i \(0.539288\pi\)
\(168\) −778.391 + 3410.35i −0.357465 + 1.56616i
\(169\) −1051.95 + 1319.11i −0.478814 + 0.600414i
\(170\) −1244.20 1560.18i −0.561328 0.703882i
\(171\) −882.185 −0.394517
\(172\) 78.1277 81.3225i 0.0346348 0.0360511i
\(173\) 3506.24 1.54089 0.770446 0.637506i \(-0.220034\pi\)
0.770446 + 0.637506i \(0.220034\pi\)
\(174\) 583.547 + 731.745i 0.254245 + 0.318813i
\(175\) 5384.12 6751.47i 2.32572 2.91636i
\(176\) −660.884 + 2895.52i −0.283045 + 1.24010i
\(177\) 1166.71 561.859i 0.495455 0.238599i
\(178\) −54.2595 −0.0228479
\(179\) −210.751 −0.0880017 −0.0440009 0.999031i \(-0.514010\pi\)
−0.0440009 + 0.999031i \(0.514010\pi\)
\(180\) −89.1660 + 42.9401i −0.0369225 + 0.0177809i
\(181\) 441.701 + 1935.22i 0.181389 + 0.794717i 0.980970 + 0.194159i \(0.0621977\pi\)
−0.799581 + 0.600558i \(0.794945\pi\)
\(182\) −1508.85 726.625i −0.614525 0.295940i
\(183\) 424.067 + 1857.96i 0.171300 + 0.750514i
\(184\) −692.220 868.017i −0.277343 0.347777i
\(185\) −1417.18 + 682.476i −0.563205 + 0.271225i
\(186\) −3004.96 3768.10i −1.18459 1.48543i
\(187\) −315.641 + 1382.91i −0.123433 + 0.540794i
\(188\) −56.9862 27.4431i −0.0221072 0.0106462i
\(189\) −2216.72 1067.51i −0.853134 0.410848i
\(190\) −2979.06 + 3735.62i −1.13749 + 1.42637i
\(191\) −806.553 + 3533.74i −0.305550 + 1.33870i 0.556063 + 0.831140i \(0.312311\pi\)
−0.861614 + 0.507564i \(0.830546\pi\)
\(192\) 668.198 + 2927.57i 0.251162 + 1.10041i
\(193\) −1487.62 + 1865.42i −0.554826 + 0.695730i −0.977592 0.210509i \(-0.932488\pi\)
0.422766 + 0.906239i \(0.361059\pi\)
\(194\) 604.069 757.479i 0.223555 0.280329i
\(195\) 670.447 + 2937.42i 0.246214 + 1.07873i
\(196\) −27.7610 + 121.629i −0.0101170 + 0.0443254i
\(197\) −548.522 + 687.825i −0.198379 + 0.248759i −0.871064 0.491170i \(-0.836569\pi\)
0.672685 + 0.739929i \(0.265141\pi\)
\(198\) 1331.20 + 641.071i 0.477799 + 0.230096i
\(199\) 369.032 + 177.717i 0.131457 + 0.0633065i 0.498456 0.866915i \(-0.333900\pi\)
−0.366999 + 0.930221i \(0.619615\pi\)
\(200\) 1653.91 7246.24i 0.584744 2.56193i
\(201\) −1335.29 1674.40i −0.468576 0.587576i
\(202\) 3403.74 1639.15i 1.18558 0.570943i
\(203\) −830.361 1041.24i −0.287093 0.360004i
\(204\) −17.6822 77.4706i −0.00606862 0.0265884i
\(205\) −2488.09 1198.20i −0.847687 0.408225i
\(206\) −1344.27 5889.63i −0.454659 1.99199i
\(207\) −522.566 + 251.655i −0.175463 + 0.0844986i
\(208\) −1513.67 −0.504586
\(209\) 3396.34 1.12407
\(210\) 8917.50 4294.44i 2.93031 1.41116i
\(211\) 1080.84 4735.48i 0.352646 1.54504i −0.418401 0.908262i \(-0.637409\pi\)
0.771046 0.636779i \(-0.219734\pi\)
\(212\) −104.527 + 131.073i −0.0338631 + 0.0424630i
\(213\) 1544.37 + 1936.58i 0.496800 + 0.622967i
\(214\) 2390.33 0.763549
\(215\) 6037.80 + 558.060i 1.91523 + 0.177020i
\(216\) −2117.65 −0.667074
\(217\) 4275.92 + 5361.83i 1.33764 + 1.67735i
\(218\) −2844.90 + 3567.39i −0.883858 + 1.10832i
\(219\) −121.115 + 530.640i −0.0373708 + 0.163732i
\(220\) 343.282 165.316i 0.105200 0.0506618i
\(221\) −722.932 −0.220044
\(222\) −1315.53 −0.397714
\(223\) −106.240 + 51.1624i −0.0319029 + 0.0153636i −0.449767 0.893146i \(-0.648493\pi\)
0.417864 + 0.908509i \(0.362779\pi\)
\(224\) 102.975 + 451.161i 0.0307155 + 0.134574i
\(225\) −3498.38 1684.73i −1.03656 0.499179i
\(226\) −970.488 4251.99i −0.285646 1.25150i
\(227\) −2787.51 3495.43i −0.815038 1.02203i −0.999234 0.0391360i \(-0.987539\pi\)
0.184196 0.982890i \(-0.441032\pi\)
\(228\) −171.421 + 82.5519i −0.0497922 + 0.0239786i
\(229\) 3485.16 + 4370.25i 1.00570 + 1.26111i 0.965085 + 0.261935i \(0.0843607\pi\)
0.0406164 + 0.999175i \(0.487068\pi\)
\(230\) −699.024 + 3062.63i −0.200401 + 0.878015i
\(231\) −6338.76 3052.59i −1.80545 0.869461i
\(232\) −1032.77 497.354i −0.292261 0.140745i
\(233\) 2558.90 3208.76i 0.719480 0.902200i −0.278828 0.960341i \(-0.589946\pi\)
0.998308 + 0.0581413i \(0.0185174\pi\)
\(234\) −167.563 + 734.143i −0.0468118 + 0.205096i
\(235\) −756.763 3315.59i −0.210067 0.920364i
\(236\) 52.0363 65.2515i 0.0143529 0.0179979i
\(237\) −855.171 + 1072.35i −0.234385 + 0.293910i
\(238\) 528.455 + 2315.31i 0.143927 + 0.630586i
\(239\) −828.317 + 3629.10i −0.224182 + 0.982204i 0.730111 + 0.683329i \(0.239468\pi\)
−0.954292 + 0.298875i \(0.903389\pi\)
\(240\) 5577.70 6994.22i 1.50016 1.88114i
\(241\) 4168.29 + 2007.34i 1.11412 + 0.536533i 0.898072 0.439849i \(-0.144968\pi\)
0.216050 + 0.976382i \(0.430682\pi\)
\(242\) −1649.43 794.325i −0.438139 0.210997i
\(243\) −675.194 + 2958.22i −0.178246 + 0.780946i
\(244\) 76.5801 + 96.0284i 0.0200924 + 0.0251950i
\(245\) −6043.70 + 2910.49i −1.57599 + 0.758958i
\(246\) −1440.03 1805.74i −0.373224 0.468008i
\(247\) 385.174 + 1687.56i 0.0992229 + 0.434724i
\(248\) 5318.20 + 2561.11i 1.36172 + 0.655769i
\(249\) 599.054 + 2624.63i 0.152464 + 0.667988i
\(250\) −11928.6 + 5744.51i −3.01772 + 1.45326i
\(251\) 1136.12 0.285702 0.142851 0.989744i \(-0.454373\pi\)
0.142851 + 0.989744i \(0.454373\pi\)
\(252\) 117.779 0.0294419
\(253\) 2011.84 968.850i 0.499933 0.240755i
\(254\) −147.623 + 646.778i −0.0364672 + 0.159773i
\(255\) 2663.93 3340.46i 0.654203 0.820345i
\(256\) 382.073 + 479.104i 0.0932796 + 0.116969i
\(257\) −6235.33 −1.51342 −0.756710 0.653750i \(-0.773195\pi\)
−0.756710 + 0.653750i \(0.773195\pi\)
\(258\) 4347.11 + 2611.49i 1.04899 + 0.630171i
\(259\) 1871.94 0.449099
\(260\) 121.073 + 151.820i 0.0288792 + 0.0362134i
\(261\) −373.369 + 468.190i −0.0885478 + 0.111035i
\(262\) −256.873 + 1125.43i −0.0605713 + 0.265380i
\(263\) −6415.53 + 3089.56i −1.50418 + 0.724373i −0.990994 0.133906i \(-0.957248\pi\)
−0.513183 + 0.858280i \(0.671534\pi\)
\(264\) −6055.49 −1.41170
\(265\) −9014.26 −2.08959
\(266\) 5123.14 2467.17i 1.18090 0.568692i
\(267\) −25.8511 113.261i −0.00592534 0.0259606i
\(268\) −124.359 59.8882i −0.0283450 0.0136502i
\(269\) −921.232 4036.18i −0.208805 0.914834i −0.965364 0.260908i \(-0.915978\pi\)
0.756559 0.653926i \(-0.226879\pi\)
\(270\) 3735.86 + 4684.62i 0.842064 + 1.05591i
\(271\) 2488.16 1198.23i 0.557730 0.268588i −0.133713 0.991020i \(-0.542690\pi\)
0.691442 + 0.722432i \(0.256976\pi\)
\(272\) 1338.32 + 1678.20i 0.298336 + 0.374102i
\(273\) 797.887 3495.77i 0.176888 0.774995i
\(274\) −3418.84 1646.42i −0.753794 0.363008i
\(275\) 13468.5 + 6486.07i 2.95338 + 1.42227i
\(276\) −77.9929 + 97.8000i −0.0170095 + 0.0213292i
\(277\) −1510.51 + 6617.96i −0.327645 + 1.43550i 0.495963 + 0.868344i \(0.334815\pi\)
−0.823607 + 0.567161i \(0.808042\pi\)
\(278\) −859.870 3767.34i −0.185509 0.812769i
\(279\) 1922.65 2410.93i 0.412567 0.517343i
\(280\) −7558.03 + 9477.46i −1.61314 + 2.02281i
\(281\) −502.659 2202.29i −0.106712 0.467537i −0.999843 0.0177390i \(-0.994353\pi\)
0.893130 0.449798i \(-0.148504\pi\)
\(282\) 632.915 2772.98i 0.133651 0.585563i
\(283\) 1526.26 1913.87i 0.320589 0.402006i −0.595257 0.803535i \(-0.702950\pi\)
0.915846 + 0.401529i \(0.131521\pi\)
\(284\) 143.832 + 69.2656i 0.0300522 + 0.0144724i
\(285\) −9217.06 4438.70i −1.91569 0.922547i
\(286\) 645.105 2826.39i 0.133377 0.584364i
\(287\) 2049.10 + 2569.49i 0.421444 + 0.528474i
\(288\) 187.474 90.2826i 0.0383576 0.0184721i
\(289\) −2424.02 3039.62i −0.493389 0.618690i
\(290\) 721.722 + 3162.07i 0.146141 + 0.640287i
\(291\) 1868.96 + 900.045i 0.376497 + 0.181311i
\(292\) 7.80587 + 34.1998i 0.00156440 + 0.00685407i
\(293\) 6873.40 3310.05i 1.37047 0.659985i 0.403527 0.914968i \(-0.367784\pi\)
0.966945 + 0.254983i \(0.0820700\pi\)
\(294\) −5610.21 −1.11291
\(295\) 4487.52 0.885673
\(296\) 1451.63 699.068i 0.285048 0.137272i
\(297\) 947.750 4152.36i 0.185165 0.811261i
\(298\) 3416.18 4283.75i 0.664073 0.832721i
\(299\) 709.558 + 889.757i 0.137240 + 0.172094i
\(300\) −837.434 −0.161164
\(301\) −6185.74 3716.03i −1.18452 0.711590i
\(302\) 6126.88 1.16742
\(303\) 5043.23 + 6324.01i 0.956192 + 1.19903i
\(304\) 3204.41 4018.21i 0.604558 0.758092i
\(305\) −1469.56 + 6438.55i −0.275890 + 1.20875i
\(306\) 962.096 463.321i 0.179736 0.0865565i
\(307\) −4363.26 −0.811154 −0.405577 0.914061i \(-0.632929\pi\)
−0.405577 + 0.914061i \(0.632929\pi\)
\(308\) −453.438 −0.0838865
\(309\) 11653.6 5612.06i 2.14546 1.03320i
\(310\) −3716.48 16283.0i −0.680910 2.98326i
\(311\) 1235.11 + 594.796i 0.225198 + 0.108450i 0.543081 0.839680i \(-0.317258\pi\)
−0.317883 + 0.948130i \(0.602972\pi\)
\(312\) −686.746 3008.83i −0.124613 0.545966i
\(313\) −2060.65 2583.98i −0.372124 0.466629i 0.560145 0.828395i \(-0.310746\pi\)
−0.932269 + 0.361765i \(0.882174\pi\)
\(314\) 3301.17 1589.76i 0.593298 0.285717i
\(315\) 3948.43 + 4951.18i 0.706251 + 0.885611i
\(316\) −19.6706 + 86.1825i −0.00350176 + 0.0153422i
\(317\) −4016.18 1934.09i −0.711580 0.342679i 0.0428300 0.999082i \(-0.486363\pi\)
−0.754410 + 0.656403i \(0.772077\pi\)
\(318\) −6792.44 3271.07i −1.19780 0.576831i
\(319\) 1437.44 1802.49i 0.252292 0.316364i
\(320\) −2315.57 + 10145.2i −0.404513 + 1.77229i
\(321\) 1138.84 + 4989.57i 0.198018 + 0.867572i
\(322\) 2330.92 2922.88i 0.403407 0.505857i
\(323\) 1530.44 1919.11i 0.263641 0.330595i
\(324\) 80.7432 + 353.759i 0.0138449 + 0.0606583i
\(325\) −1695.33 + 7427.73i −0.289354 + 1.26774i
\(326\) −77.5445 + 97.2377i −0.0131742 + 0.0165199i
\(327\) −8801.99 4238.81i −1.48854 0.716841i
\(328\) 2548.58 + 1227.33i 0.429030 + 0.206610i
\(329\) −900.610 + 3945.83i −0.150919 + 0.661218i
\(330\) 10682.8 + 13395.8i 1.78203 + 2.23459i
\(331\) 1302.96 627.474i 0.216367 0.104197i −0.322561 0.946549i \(-0.604544\pi\)
0.538928 + 0.842352i \(0.318830\pi\)
\(332\) 108.180 + 135.654i 0.0178830 + 0.0224246i
\(333\) −187.298 820.607i −0.0308224 0.135042i
\(334\) −6103.15 2939.12i −0.999848 0.481501i
\(335\) −1651.46 7235.52i −0.269340 1.18006i
\(336\) −9592.08 + 4619.30i −1.55741 + 0.750011i
\(337\) −957.005 −0.154692 −0.0773462 0.997004i \(-0.524645\pi\)
−0.0773462 + 0.997004i \(0.524645\pi\)
\(338\) −4889.96 −0.786920
\(339\) 8413.22 4051.60i 1.34792 0.649122i
\(340\) 61.2756 268.466i 0.00977393 0.0428224i
\(341\) −7402.05 + 9281.88i −1.17549 + 1.47402i
\(342\) −1594.14 1998.99i −0.252051 0.316061i
\(343\) −794.905 −0.125134
\(344\) −6184.59 571.627i −0.969333 0.0895931i
\(345\) −6725.96 −1.04961
\(346\) 6335.90 + 7944.97i 0.984452 + 1.23446i
\(347\) 3531.17 4427.95i 0.546291 0.685028i −0.429666 0.902988i \(-0.641369\pi\)
0.975958 + 0.217960i \(0.0699403\pi\)
\(348\) −28.7392 + 125.914i −0.00442696 + 0.0193958i
\(349\) 7565.91 3643.55i 1.16044 0.558839i 0.248287 0.968686i \(-0.420132\pi\)
0.912154 + 0.409847i \(0.134418\pi\)
\(350\) 25027.8 3.82227
\(351\) 2170.69 0.330094
\(352\) −721.758 + 347.580i −0.109289 + 0.0526310i
\(353\) −2472.50 10832.7i −0.372798 1.63333i −0.718883 0.695131i \(-0.755346\pi\)
0.346085 0.938203i \(-0.387511\pi\)
\(354\) 3381.44 + 1628.42i 0.507688 + 0.244490i
\(355\) 1910.05 + 8368.47i 0.285563 + 1.25113i
\(356\) −4.66833 5.85390i −0.000695003 0.000871506i
\(357\) −4581.21 + 2206.20i −0.679169 + 0.327071i
\(358\) −380.836 477.553i −0.0562229 0.0705013i
\(359\) 284.332 1245.74i 0.0418008 0.183141i −0.949718 0.313108i \(-0.898630\pi\)
0.991518 + 0.129967i \(0.0414870\pi\)
\(360\) 4910.89 + 2364.96i 0.718963 + 0.346234i
\(361\) 884.509 + 425.957i 0.128956 + 0.0621019i
\(362\) −3586.95 + 4497.89i −0.520790 + 0.653050i
\(363\) 872.226 3821.47i 0.126116 0.552549i
\(364\) −51.4238 225.302i −0.00740478 0.0324425i
\(365\) −1176.00 + 1474.66i −0.168643 + 0.211472i
\(366\) −3443.74 + 4318.32i −0.491823 + 0.616727i
\(367\) 1034.66 + 4533.13i 0.147163 + 0.644762i 0.993666 + 0.112378i \(0.0358466\pi\)
−0.846503 + 0.532384i \(0.821296\pi\)
\(368\) 751.903 3294.30i 0.106510 0.466651i
\(369\) 921.370 1155.36i 0.129985 0.162997i
\(370\) −4107.35 1978.00i −0.577111 0.277922i
\(371\) 9665.33 + 4654.58i 1.35256 + 0.651358i
\(372\) 147.991 648.393i 0.0206263 0.0903699i
\(373\) 5161.60 + 6472.44i 0.716508 + 0.898473i 0.998135 0.0610511i \(-0.0194453\pi\)
−0.281626 + 0.959524i \(0.590874\pi\)
\(374\) −3703.99 + 1783.75i −0.512109 + 0.246619i
\(375\) −17674.3 22162.9i −2.43386 3.05196i
\(376\) 775.160 + 3396.20i 0.106319 + 0.465813i
\(377\) 1058.63 + 509.811i 0.144622 + 0.0696462i
\(378\) −1586.75 6952.02i −0.215909 0.945961i
\(379\) −5442.11 + 2620.78i −0.737579 + 0.355199i −0.764660 0.644434i \(-0.777093\pi\)
0.0270810 + 0.999633i \(0.491379\pi\)
\(380\) −659.334 −0.0890083
\(381\) −1420.42 −0.190998
\(382\) −9464.77 + 4557.99i −1.26770 + 0.610490i
\(383\) −1607.81 + 7044.26i −0.214504 + 0.939804i 0.746959 + 0.664870i \(0.231513\pi\)
−0.961463 + 0.274934i \(0.911344\pi\)
\(384\) −5985.97 + 7506.17i −0.795496 + 0.997520i
\(385\) −15201.1 19061.6i −2.01227 2.52330i
\(386\) −6915.15 −0.911844
\(387\) −1010.09 + 3083.47i −0.132676 + 0.405017i
\(388\) 133.695 0.0174931
\(389\) −3654.65 4582.79i −0.476345 0.597318i 0.484367 0.874865i \(-0.339050\pi\)
−0.960712 + 0.277547i \(0.910479\pi\)
\(390\) −5444.53 + 6827.23i −0.706910 + 0.886437i
\(391\) 359.112 1573.37i 0.0464477 0.203501i
\(392\) 6190.63 2981.25i 0.797637 0.384122i
\(393\) −2471.62 −0.317243
\(394\) −2549.78 −0.326031
\(395\) −4282.38 + 2062.29i −0.545494 + 0.262696i
\(396\) 45.3691 + 198.775i 0.00575728 + 0.0252243i
\(397\) 9489.81 + 4570.05i 1.19970 + 0.577744i 0.923590 0.383382i \(-0.125241\pi\)
0.276108 + 0.961127i \(0.410955\pi\)
\(398\) 264.158 + 1157.35i 0.0332689 + 0.145761i
\(399\) 7590.82 + 9518.59i 0.952422 + 1.19430i
\(400\) 20381.0 9814.98i 2.54763 1.22687i
\(401\) 3125.58 + 3919.36i 0.389238 + 0.488088i 0.937386 0.348293i \(-0.113238\pi\)
−0.548148 + 0.836381i \(0.684667\pi\)
\(402\) 1381.19 6051.40i 0.171362 0.750786i
\(403\) −5451.40 2625.26i −0.673830 0.324500i
\(404\) 469.692 + 226.192i 0.0578416 + 0.0278551i
\(405\) −12164.5 + 15253.8i −1.49249 + 1.87152i
\(406\) 858.908 3763.12i 0.104992 0.460002i
\(407\) 721.082 + 3159.27i 0.0878200 + 0.384764i
\(408\) −2728.69 + 3421.67i −0.331104 + 0.415191i
\(409\) 7833.51 9822.92i 0.947047 1.18756i −0.0350880 0.999384i \(-0.511171\pi\)
0.982135 0.188176i \(-0.0602574\pi\)
\(410\) −1781.01 7803.10i −0.214531 0.939921i
\(411\) 1807.89 7920.89i 0.216975 0.950630i
\(412\) 519.758 651.756i 0.0621520 0.0779362i
\(413\) −4811.64 2317.16i −0.573282 0.276078i
\(414\) −1514.54 729.362i −0.179796 0.0865850i
\(415\) −2075.96 + 9095.36i −0.245553 + 1.07584i
\(416\) −254.558 319.206i −0.0300018 0.0376210i
\(417\) 7454.27 3589.79i 0.875388 0.421565i
\(418\) 6137.31 + 7695.95i 0.718148 + 0.900529i
\(419\) −3009.37 13184.9i −0.350877 1.53729i −0.775162 0.631763i \(-0.782332\pi\)
0.424285 0.905529i \(-0.360525\pi\)
\(420\) 1230.55 + 592.602i 0.142964 + 0.0688476i
\(421\) 3626.73 + 15889.7i 0.419848 + 1.83947i 0.533296 + 0.845929i \(0.320953\pi\)
−0.113448 + 0.993544i \(0.536190\pi\)
\(422\) 12683.5 6108.05i 1.46309 0.704586i
\(423\) 1819.86 0.209183
\(424\) 9233.40 1.05758
\(425\) 9734.05 4687.67i 1.11099 0.535025i
\(426\) −1597.46 + 6998.93i −0.181684 + 0.796008i
\(427\) 4900.29 6144.77i 0.555367 0.696408i
\(428\) 205.657 + 257.886i 0.0232262 + 0.0291247i
\(429\) 6207.16 0.698565
\(430\) 9646.01 + 14689.8i 1.08179 + 1.64746i
\(431\) 1648.67 0.184255 0.0921274 0.995747i \(-0.470633\pi\)
0.0921274 + 0.995747i \(0.470633\pi\)
\(432\) −4018.47 5039.00i −0.447543 0.561201i
\(433\) 2606.36 3268.27i 0.289269 0.362732i −0.615870 0.787848i \(-0.711195\pi\)
0.905139 + 0.425116i \(0.139767\pi\)
\(434\) −4422.92 + 19378.1i −0.489187 + 2.14327i
\(435\) −6256.65 + 3013.04i −0.689617 + 0.332102i
\(436\) −629.643 −0.0691615
\(437\) −3864.09 −0.422985
\(438\) −1421.27 + 684.445i −0.155047 + 0.0746668i
\(439\) −1359.37 5955.80i −0.147789 0.647505i −0.993497 0.113859i \(-0.963679\pi\)
0.845708 0.533646i \(-0.179178\pi\)
\(440\) −18906.5 9104.90i −2.04848 0.986498i
\(441\) −798.753 3499.56i −0.0862491 0.377882i
\(442\) −1306.37 1638.13i −0.140583 0.176285i
\(443\) −13222.8 + 6367.75i −1.41813 + 0.682936i −0.976750 0.214383i \(-0.931226\pi\)
−0.441382 + 0.897319i \(0.645512\pi\)
\(444\) −113.184 141.929i −0.0120979 0.0151703i
\(445\) 89.5843 392.495i 0.00954316 0.0418113i
\(446\) −307.911 148.282i −0.0326906 0.0157430i
\(447\) 10569.5 + 5090.00i 1.11839 + 0.538587i
\(448\) 7721.35 9682.26i 0.814284 1.02108i
\(449\) −2124.75 + 9309.12i −0.223325 + 0.978451i 0.731630 + 0.681702i \(0.238760\pi\)
−0.954955 + 0.296749i \(0.904097\pi\)
\(450\) −2504.18 10971.5i −0.262329 1.14934i
\(451\) −3547.20 + 4448.05i −0.370357 + 0.464413i
\(452\) 375.237 470.532i 0.0390479 0.0489645i
\(453\) 2919.06 + 12789.2i 0.302758 + 1.32647i
\(454\) 2883.34 12632.8i 0.298066 1.30591i
\(455\) 7747.33 9714.84i 0.798242 1.00096i
\(456\) 9441.13 + 4546.61i 0.969564 + 0.466918i
\(457\) −10577.4 5093.81i −1.08269 0.521397i −0.194516 0.980899i \(-0.562314\pi\)
−0.888177 + 0.459502i \(0.848028\pi\)
\(458\) −3604.97 + 15794.4i −0.367793 + 1.61141i
\(459\) −1919.23 2406.64i −0.195168 0.244733i
\(460\) −390.560 + 188.084i −0.0395868 + 0.0190640i
\(461\) 5303.08 + 6649.85i 0.535768 + 0.671832i 0.973873 0.227092i \(-0.0729218\pi\)
−0.438105 + 0.898924i \(0.644350\pi\)
\(462\) −4537.37 19879.5i −0.456921 2.00190i
\(463\) −14088.4 6784.61i −1.41413 0.681010i −0.438158 0.898898i \(-0.644369\pi\)
−0.975974 + 0.217888i \(0.930083\pi\)
\(464\) −776.318 3401.27i −0.0776716 0.340302i
\(465\) 32218.4 15515.6i 3.21310 1.54735i
\(466\) 11894.9 1.18245
\(467\) −1591.28 −0.157678 −0.0788392 0.996887i \(-0.525121\pi\)
−0.0788392 + 0.996887i \(0.525121\pi\)
\(468\) −93.6213 + 45.0856i −0.00924710 + 0.00445317i
\(469\) −1965.37 + 8610.86i −0.193502 + 0.847788i
\(470\) 6145.49 7706.20i 0.603128 0.756299i
\(471\) 4891.25 + 6133.44i 0.478508 + 0.600029i
\(472\) −4596.61 −0.448255
\(473\) 3888.76 11871.1i 0.378024 1.15398i
\(474\) −3975.22 −0.385207
\(475\) −16128.8 20224.9i −1.55798 1.95364i
\(476\) −204.326 + 256.216i −0.0196749 + 0.0246716i
\(477\) 1073.37 4702.74i 0.103032 0.451412i
\(478\) −9720.17 + 4680.99i −0.930105 + 0.447915i
\(479\) −9244.11 −0.881783 −0.440891 0.897560i \(-0.645338\pi\)
−0.440891 + 0.897560i \(0.645338\pi\)
\(480\) 2412.98 0.229452
\(481\) −1487.99 + 716.577i −0.141053 + 0.0679274i
\(482\) 2983.72 + 13072.5i 0.281960 + 1.23535i
\(483\) 7211.76 + 3473.00i 0.679392 + 0.327178i
\(484\) −56.2150 246.294i −0.00527940 0.0231305i
\(485\) 4482.00 + 5620.26i 0.419623 + 0.526191i
\(486\) −7923.29 + 3815.66i −0.739522 + 0.356135i
\(487\) 1674.03 + 2099.17i 0.155765 + 0.195323i 0.853590 0.520945i \(-0.174420\pi\)
−0.697825 + 0.716268i \(0.745849\pi\)
\(488\) 1505.28 6595.07i 0.139633 0.611772i
\(489\) −239.919 115.539i −0.0221871 0.0106848i
\(490\) −17516.2 8435.38i −1.61490 0.777697i
\(491\) −6532.11 + 8191.01i −0.600387 + 0.752862i −0.985438 0.170033i \(-0.945612\pi\)
0.385051 + 0.922895i \(0.374184\pi\)
\(492\) 70.9202 310.722i 0.00649864 0.0284724i
\(493\) −370.772 1624.46i −0.0338717 0.148402i
\(494\) −3127.91 + 3922.27i −0.284881 + 0.357229i
\(495\) −6835.14 + 8571.00i −0.620640 + 0.778258i
\(496\) 3997.62 + 17514.7i 0.361892 + 1.58555i
\(497\) 2273.11 9959.17i 0.205157 0.898852i
\(498\) −4864.77 + 6100.23i −0.437742 + 0.548911i
\(499\) 13300.9 + 6405.37i 1.19324 + 0.574636i 0.921743 0.387801i \(-0.126765\pi\)
0.271502 + 0.962438i \(0.412480\pi\)
\(500\) −1646.06 792.701i −0.147228 0.0709013i
\(501\) 3227.36 14140.0i 0.287800 1.26094i
\(502\) 2053.01 + 2574.40i 0.182531 + 0.228886i
\(503\) −10229.7 + 4926.38i −0.906801 + 0.436692i −0.828341 0.560225i \(-0.810715\pi\)
−0.0784606 + 0.996917i \(0.525000\pi\)
\(504\) −4044.42 5071.55i −0.357446 0.448223i
\(505\) 6237.39 + 27327.8i 0.549624 + 2.40806i
\(506\) 5830.84 + 2807.98i 0.512277 + 0.246700i
\(507\) −2329.75 10207.3i −0.204079 0.894127i
\(508\) −82.4800 + 39.7203i −0.00720366 + 0.00346910i
\(509\) −17946.4 −1.56279 −0.781396 0.624036i \(-0.785492\pi\)
−0.781396 + 0.624036i \(0.785492\pi\)
\(510\) 12383.2 1.07517
\(511\) 2022.40 973.935i 0.175079 0.0843138i
\(512\) 2358.99 10335.4i 0.203620 0.892118i
\(513\) −4595.33 + 5762.36i −0.395495 + 0.495935i
\(514\) −11267.5 14129.0i −0.966901 1.21246i
\(515\) 44823.0 3.83522
\(516\) 92.2665 + 693.682i 0.00787172 + 0.0591815i
\(517\) −7006.30 −0.596009
\(518\) 3382.66 + 4241.73i 0.286922 + 0.359789i
\(519\) −13565.7 + 17010.8i −1.14734 + 1.43871i
\(520\) 2379.84 10426.8i 0.200698 0.879315i
\(521\) 2947.81 1419.59i 0.247881 0.119373i −0.305818 0.952090i \(-0.598930\pi\)
0.553699 + 0.832717i \(0.313216\pi\)
\(522\) −1735.59 −0.145526
\(523\) −4629.62 −0.387073 −0.193536 0.981093i \(-0.561996\pi\)
−0.193536 + 0.981093i \(0.561996\pi\)
\(524\) −143.520 + 69.1158i −0.0119651 + 0.00576210i
\(525\) 11924.2 + 52243.1i 0.991262 + 4.34300i
\(526\) −18593.9 8954.35i −1.54132 0.742259i
\(527\) 1909.28 + 8365.10i 0.157817 + 0.691441i
\(528\) −11490.9 14409.2i −0.947118 1.18765i
\(529\) 8673.17 4176.78i 0.712844 0.343288i
\(530\) −16289.1 20425.9i −1.33501 1.67405i
\(531\) −534.350 + 2341.14i −0.0436701 + 0.191331i
\(532\) 706.956 + 340.452i 0.0576136 + 0.0277452i
\(533\) −2612.41 1258.07i −0.212300 0.102238i
\(534\) 209.931 263.245i 0.0170124 0.0213328i
\(535\) −3946.51 + 17290.8i −0.318921 + 1.39728i
\(536\) 1691.61 + 7411.42i 0.136318 + 0.597247i
\(537\) 815.401 1022.48i 0.0655254 0.0821663i
\(538\) 7481.10 9381.00i 0.599504 0.751754i
\(539\) 3075.13 + 13473.0i 0.245743 + 1.07667i
\(540\) −183.988 + 806.102i −0.0146622 + 0.0642391i
\(541\) −7119.49 + 8927.56i −0.565787 + 0.709474i −0.979616 0.200880i \(-0.935620\pi\)
0.413829 + 0.910355i \(0.364191\pi\)
\(542\) 7211.34 + 3472.80i 0.571501 + 0.275220i
\(543\) −11097.9 5344.44i −0.877080 0.422379i
\(544\) −128.833 + 564.456i −0.0101538 + 0.0444869i
\(545\) −21108.3 26468.9i −1.65904 2.08037i
\(546\) 9363.07 4509.02i 0.733887 0.353421i
\(547\) 3892.67 + 4881.25i 0.304275 + 0.381549i 0.910336 0.413869i \(-0.135823\pi\)
−0.606062 + 0.795418i \(0.707251\pi\)
\(548\) −116.519 510.502i −0.00908291 0.0397948i
\(549\) −3184.00 1533.33i −0.247523 0.119201i
\(550\) 9640.89 + 42239.5i 0.747434 + 3.27472i
\(551\) −3594.47 + 1731.01i −0.277912 + 0.133835i
\(552\) 6889.48 0.531224
\(553\) 5656.56 0.434976
\(554\) −17725.5 + 8536.17i −1.35936 + 0.654634i
\(555\) 2171.98 9516.08i 0.166118 0.727811i
\(556\) 332.466 416.900i 0.0253592 0.0317994i
\(557\) −819.137 1027.17i −0.0623123 0.0781371i 0.749699 0.661779i \(-0.230198\pi\)
−0.812011 + 0.583642i \(0.801627\pi\)
\(558\) 8937.37 0.678045
\(559\) 6339.49 + 585.944i 0.479663 + 0.0443341i
\(560\) −36893.9 −2.78402
\(561\) −5488.11 6881.87i −0.413027 0.517919i
\(562\) 4081.97 5118.63i 0.306384 0.384193i
\(563\) 2887.94 12652.9i 0.216185 0.947167i −0.744083 0.668087i \(-0.767113\pi\)
0.960268 0.279080i \(-0.0900295\pi\)
\(564\) 353.623 170.296i 0.0264011 0.0127141i
\(565\) 32359.7 2.40953
\(566\) 7094.75 0.526881
\(567\) 20919.5 10074.3i 1.54945 0.746174i
\(568\) −1956.48 8571.91i −0.144529 0.633221i
\(569\) 17253.5 + 8308.84i 1.27118 + 0.612170i 0.943110 0.332482i \(-0.107886\pi\)
0.328075 + 0.944652i \(0.393600\pi\)
\(570\) −6597.68 28906.3i −0.484819 2.12413i
\(571\) −2246.94 2817.57i −0.164679 0.206500i 0.692645 0.721279i \(-0.256445\pi\)
−0.857323 + 0.514779i \(0.827874\pi\)
\(572\) 360.434 173.576i 0.0263470 0.0126881i
\(573\) −14023.7 17585.2i −1.02242 1.28208i
\(574\) −2119.54 + 9286.33i −0.154126 + 0.675268i
\(575\) −15323.4 7379.35i −1.11136 0.535200i
\(576\) −5017.01 2416.06i −0.362920 0.174773i
\(577\) −7274.85 + 9122.38i −0.524880 + 0.658179i −0.971637 0.236476i \(-0.924007\pi\)
0.446757 + 0.894655i \(0.352579\pi\)
\(578\) 2507.35 10985.4i 0.180436 0.790543i
\(579\) −3294.62 14434.7i −0.236476 1.03607i
\(580\) −279.052 + 349.920i −0.0199776 + 0.0250511i
\(581\) 6922.35 8680.35i 0.494299 0.619831i
\(582\) 1337.83 + 5861.40i 0.0952830 + 0.417462i
\(583\) −4132.38 + 18105.2i −0.293561 + 1.28617i
\(584\) 1204.59 1510.51i 0.0853535 0.107030i
\(585\) −5033.89 2424.19i −0.355770 0.171330i
\(586\) 19920.9 + 9593.42i 1.40431 + 0.676280i
\(587\) 4881.13 21385.6i 0.343212 1.50371i −0.449036 0.893514i \(-0.648233\pi\)
0.792249 0.610198i \(-0.208910\pi\)
\(588\) −482.686 605.269i −0.0338531 0.0424505i
\(589\) 18509.6 8913.76i 1.29486 0.623574i
\(590\) 8109.12 + 10168.5i 0.565843 + 0.709545i
\(591\) −1214.81 5322.41i −0.0845524 0.370448i
\(592\) 4418.06 + 2127.63i 0.306725 + 0.147711i
\(593\) −2395.19 10494.0i −0.165866 0.726707i −0.987620 0.156865i \(-0.949861\pi\)
0.821754 0.569842i \(-0.192996\pi\)
\(594\) 11121.7 5355.92i 0.768230 0.369960i
\(595\) −17620.7 −1.21408
\(596\) 756.079 0.0519634
\(597\) −2290.00 + 1102.81i −0.156991 + 0.0756028i
\(598\) −733.952 + 3215.65i −0.0501898 + 0.219896i
\(599\) −10494.5 + 13159.6i −0.715846 + 0.897643i −0.998095 0.0616983i \(-0.980348\pi\)
0.282248 + 0.959341i \(0.408920\pi\)
\(600\) 28756.8 + 36059.9i 1.95665 + 2.45357i
\(601\) −21858.0 −1.48354 −0.741770 0.670654i \(-0.766013\pi\)
−0.741770 + 0.670654i \(0.766013\pi\)
\(602\) −2757.51 20731.6i −0.186691 1.40358i
\(603\) 3971.42 0.268207
\(604\) 527.139 + 661.011i 0.0355116 + 0.0445301i
\(605\) 8469.15 10620.0i 0.569124 0.713659i
\(606\) −5216.61 + 22855.5i −0.349687 + 1.53208i
\(607\) 14535.5 6999.93i 0.971957 0.468070i 0.120626 0.992698i \(-0.461510\pi\)
0.851332 + 0.524628i \(0.175796\pi\)
\(608\) 1386.27 0.0924680
\(609\) 8264.36 0.549899
\(610\) −17245.0 + 8304.76i −1.14464 + 0.551229i
\(611\) −794.575 3481.26i −0.0526106 0.230502i
\(612\) 132.762 + 63.9349i 0.00876895 + 0.00422290i
\(613\) −3209.78 14063.0i −0.211487 0.926586i −0.963557 0.267503i \(-0.913802\pi\)
0.752070 0.659083i \(-0.229056\pi\)
\(614\) −7884.57 9886.94i −0.518234 0.649844i
\(615\) 15439.7 7435.35i 1.01234 0.487516i
\(616\) 15570.7 + 19525.0i 1.01844 + 1.27709i
\(617\) 2709.83 11872.6i 0.176813 0.774670i −0.806275 0.591540i \(-0.798520\pi\)
0.983089 0.183130i \(-0.0586228\pi\)
\(618\) 33775.1 + 16265.2i 2.19844 + 1.05871i
\(619\) 8609.57 + 4146.15i 0.559043 + 0.269221i 0.691996 0.721901i \(-0.256732\pi\)
−0.132953 + 0.991122i \(0.542446\pi\)
\(620\) 1436.97 1801.90i 0.0930807 0.116719i
\(621\) −1078.28 + 4724.24i −0.0696776 + 0.305277i
\(622\) 884.105 + 3873.52i 0.0569926 + 0.249701i
\(623\) −298.722 + 374.586i −0.0192104 + 0.0240890i
\(624\) 5856.40 7343.69i 0.375711 0.471126i
\(625\) −12473.6 54650.4i −0.798310 3.49762i
\(626\) 2131.50 9338.69i 0.136089 0.596245i
\(627\) −13140.5 + 16477.7i −0.836971 + 1.04953i
\(628\) 455.537 + 219.375i 0.0289457 + 0.0139395i
\(629\) 2110.08 + 1016.16i 0.133759 + 0.0644150i
\(630\) −4084.18 + 17893.9i −0.258282 + 1.13161i
\(631\) −9227.82 11571.3i −0.582177 0.730027i 0.400305 0.916382i \(-0.368904\pi\)
−0.982483 + 0.186355i \(0.940333\pi\)
\(632\) 4386.49 2112.42i 0.276084 0.132955i
\(633\) 18792.8 + 23565.4i 1.18001 + 1.47969i
\(634\) −2874.83 12595.4i −0.180085 0.789005i
\(635\) −4434.84 2135.71i −0.277151 0.133469i
\(636\) −231.496 1014.25i −0.0144330 0.0632352i
\(637\) −6345.68 + 3055.92i −0.394702 + 0.190078i
\(638\) 6681.88 0.414637
\(639\) −4593.27 −0.284361
\(640\) −29975.6 + 14435.5i −1.85139 + 0.891581i
\(641\) −2850.05 + 12486.9i −0.175617 + 0.769427i 0.808004 + 0.589177i \(0.200548\pi\)
−0.983621 + 0.180250i \(0.942309\pi\)
\(642\) −9248.22 + 11596.9i −0.568533 + 0.712918i
\(643\) 1972.88 + 2473.91i 0.121000 + 0.151729i 0.838642 0.544683i \(-0.183350\pi\)
−0.717642 + 0.696412i \(0.754779\pi\)
\(644\) 515.887 0.0315665
\(645\) −26067.8 + 27133.8i −1.59135 + 1.65642i
\(646\) 7114.18 0.433287
\(647\) 11545.4 + 14477.5i 0.701542 + 0.879706i 0.997138 0.0756075i \(-0.0240896\pi\)
−0.295596 + 0.955313i \(0.595518\pi\)
\(648\) 12460.2 15624.6i 0.755375 0.947211i
\(649\) 2057.20 9013.19i 0.124426 0.545144i
\(650\) −19894.4 + 9580.65i −1.20050 + 0.578129i
\(651\) −42557.0 −2.56212
\(652\) −17.1624 −0.00103088
\(653\) −19442.1 + 9362.81i −1.16513 + 0.561095i −0.913544 0.406741i \(-0.866665\pi\)
−0.251582 + 0.967836i \(0.580951\pi\)
\(654\) −6300.57 27604.6i −0.376715 1.65050i
\(655\) −7716.90 3716.26i −0.460342 0.221689i
\(656\) 1915.73 + 8393.38i 0.114020 + 0.499552i
\(657\) −629.299 789.116i −0.0373688 0.0468590i
\(658\) −10568.5 + 5089.53i −0.626145 + 0.301535i
\(659\) 1411.86 + 1770.42i 0.0834571 + 0.104652i 0.821807 0.569766i \(-0.192966\pi\)
−0.738350 + 0.674418i \(0.764395\pi\)
\(660\) −526.118 + 2305.07i −0.0310290 + 0.135947i
\(661\) 13262.2 + 6386.76i 0.780396 + 0.375819i 0.781280 0.624181i \(-0.214567\pi\)
−0.000884166 1.00000i \(0.500281\pi\)
\(662\) 3776.33 + 1818.59i 0.221709 + 0.106769i
\(663\) 2797.04 3507.37i 0.163843 0.205453i
\(664\) 2126.42 9316.47i 0.124279 0.544502i
\(665\) 9388.20 + 41132.4i 0.547457 + 2.39857i
\(666\) 1521.00 1907.28i 0.0884950 0.110969i
\(667\) −1635.41 + 2050.74i −0.0949375 + 0.119048i
\(668\) −208.004 911.324i −0.0120478 0.0527847i
\(669\) 162.824 713.380i 0.00940979 0.0412270i
\(670\) 13411.1 16817.0i 0.773308 0.969697i
\(671\) 12258.1 + 5903.21i 0.705247 + 0.339629i
\(672\) −2587.26 1245.96i −0.148521 0.0715237i
\(673\) 1141.64 5001.85i 0.0653892 0.286489i −0.931653 0.363350i \(-0.881633\pi\)
0.997042 + 0.0768615i \(0.0244899\pi\)
\(674\) −1729.34 2168.53i −0.0988306 0.123930i
\(675\) −29227.7 + 14075.3i −1.66663 + 0.802606i
\(676\) −420.718 527.564i −0.0239371 0.0300161i
\(677\) −75.6043 331.244i −0.00429204 0.0188047i 0.972737 0.231913i \(-0.0744984\pi\)
−0.977029 + 0.213108i \(0.931641\pi\)
\(678\) 24383.8 + 11742.6i 1.38120 + 0.665150i
\(679\) −1903.67 8340.51i −0.107594 0.471398i
\(680\) −13664.3 + 6580.38i −0.770591 + 0.371097i
\(681\) 27743.3 1.56113
\(682\) −34408.1 −1.93190
\(683\) −9450.06 + 4550.91i −0.529424 + 0.254957i −0.679446 0.733725i \(-0.737780\pi\)
0.150022 + 0.988683i \(0.452066\pi\)
\(684\) 78.5100 343.975i 0.00438875 0.0192284i
\(685\) 17554.3 22012.4i 0.979146 1.22781i
\(686\) −1436.42 1801.22i −0.0799459 0.100249i
\(687\) −34686.8 −1.92632
\(688\) −10375.7 15801.1i −0.574956 0.875596i
\(689\) −9464.66 −0.523331
\(690\) −12154.1 15240.7i −0.670577 0.840876i
\(691\) −18729.4 + 23485.9i −1.03111 + 1.29297i −0.0758790 + 0.997117i \(0.524176\pi\)
−0.955233 + 0.295856i \(0.904395\pi\)
\(692\) −312.037 + 1367.12i −0.0171414 + 0.0751016i
\(693\) 11754.5 5660.68i 0.644325 0.310291i
\(694\) 16414.5 0.897817
\(695\) 28671.3 1.56484
\(696\) 6408.75 3086.29i 0.349028 0.168083i
\(697\) 914.962 + 4008.71i 0.0497226 + 0.217849i
\(698\) 21928.0 + 10560.0i 1.18909 + 0.572638i
\(699\) 5667.16 + 24829.5i 0.306655 + 1.34354i
\(700\) 2153.32 + 2700.18i 0.116269 + 0.145796i
\(701\) 19810.2 9540.10i 1.06736 0.514015i 0.184107 0.982906i \(-0.441061\pi\)
0.883256 + 0.468891i \(0.155346\pi\)
\(702\) 3922.52 + 4918.69i 0.210892 + 0.264450i
\(703\) 1247.81 5467.03i 0.0669447 0.293304i
\(704\) 19315.1 + 9301.65i 1.03404 + 0.497967i
\(705\) 19013.8 + 9156.58i 1.01575 + 0.489159i
\(706\) 20078.5 25177.7i 1.07035 1.34217i
\(707\) 7423.01 32522.3i 0.394867 1.73002i
\(708\) 115.244 + 504.918i 0.00611744 + 0.0268023i
\(709\) 11521.1 14447.0i 0.610275 0.765260i −0.376665 0.926350i \(-0.622929\pi\)
0.986940 + 0.161089i \(0.0515007\pi\)
\(710\) −15511.0 + 19450.2i −0.819886 + 1.02810i
\(711\) −565.972 2479.68i −0.0298532 0.130795i
\(712\) −91.7622 + 402.036i −0.00482996 + 0.0211614i
\(713\) 8421.49 10560.2i 0.442338 0.554675i
\(714\) −13277.6 6394.14i −0.695939 0.335146i
\(715\) 19380.1 + 9332.94i 1.01367 + 0.488157i
\(716\) 18.7558 82.1746i 0.000978963 0.00428912i
\(717\) −14402.1 18059.7i −0.750150 0.940658i
\(718\) 3336.59 1606.82i 0.173427 0.0835180i
\(719\) −16830.4 21104.7i −0.872974 1.09467i −0.994772 0.102120i \(-0.967437\pi\)
0.121798 0.992555i \(-0.461134\pi\)
\(720\) 3691.45 + 16173.3i 0.191073 + 0.837144i
\(721\) −48060.4 23144.7i −2.48247 1.19550i
\(722\) 633.143 + 2773.98i 0.0326359 + 0.142987i
\(723\) −25866.0 + 12456.4i −1.33052 + 0.640746i
\(724\) −793.875 −0.0407516
\(725\) −17559.9 −0.899529
\(726\) 10235.4 4929.12i 0.523240 0.251979i
\(727\) −594.556 + 2604.92i −0.0303313 + 0.132890i −0.987827 0.155558i \(-0.950282\pi\)
0.957495 + 0.288449i \(0.0931394\pi\)
\(728\) −7935.67 + 9951.01i −0.404005 + 0.506606i
\(729\) 3533.60 + 4430.99i 0.179526 + 0.225118i
\(730\) −5466.60 −0.277162
\(731\) −4955.47 7546.64i −0.250731 0.381837i
\(732\) −762.180 −0.0384850
\(733\) 4035.04 + 5059.79i 0.203326 + 0.254962i 0.873031 0.487664i \(-0.162151\pi\)
−0.669705 + 0.742627i \(0.733580\pi\)
\(734\) −8402.20 + 10536.0i −0.422522 + 0.529826i
\(735\) 9262.65 40582.3i 0.464841 2.03660i
\(736\) 821.161 395.450i 0.0411256 0.0198050i
\(737\) −15289.6 −0.764180
\(738\) 4282.95 0.213628
\(739\) 6333.13 3049.88i 0.315248 0.151815i −0.269568 0.962981i \(-0.586881\pi\)
0.584816 + 0.811166i \(0.301167\pi\)
\(740\) −139.984 613.312i −0.00695396 0.0304673i
\(741\) −9677.59 4660.48i −0.479778 0.231049i
\(742\) 6918.56 + 30312.2i 0.342303 + 1.49973i
\(743\) 14689.7 + 18420.3i 0.725320 + 0.909523i 0.998626 0.0524044i \(-0.0166885\pi\)
−0.273306 + 0.961927i \(0.588117\pi\)
\(744\) −33001.7 + 15892.8i −1.62621 + 0.783141i
\(745\) 25346.9 + 31784.1i 1.24650 + 1.56306i
\(746\) −5339.05 + 23391.9i −0.262033 + 1.14804i
\(747\) −4497.85 2166.05i −0.220305 0.106093i
\(748\) −511.124 246.144i −0.0249847 0.0120320i
\(749\) 13159.8 16501.9i 0.641987 0.805027i
\(750\) 18281.9 80098.3i 0.890081 3.89970i
\(751\) −4640.35 20330.7i −0.225471 0.987853i −0.953284 0.302077i \(-0.902320\pi\)
0.727813 0.685776i \(-0.240537\pi\)
\(752\) −6610.37 + 8289.14i −0.320552 + 0.401960i
\(753\) −4395.67 + 5512.00i −0.212732 + 0.266757i
\(754\) 757.783 + 3320.06i 0.0366006 + 0.160358i
\(755\) −10115.7 + 44319.7i −0.487613 + 2.13637i
\(756\) 613.513 769.321i 0.0295149 0.0370105i
\(757\) −16868.2 8123.31i −0.809890 0.390022i −0.0173551 0.999849i \(-0.505525\pi\)
−0.792534 + 0.609827i \(0.791239\pi\)
\(758\) −15772.7 7595.72i −0.755791 0.363970i
\(759\) −3083.37 + 13509.1i −0.147456 + 0.646047i
\(760\) 22641.0 + 28390.9i 1.08063 + 1.35506i
\(761\) 14738.5 7097.70i 0.702064 0.338096i −0.0485649 0.998820i \(-0.515465\pi\)
0.750629 + 0.660724i \(0.229750\pi\)
\(762\) −2566.75 3218.60i −0.122026 0.153015i
\(763\) 8965.43 + 39280.1i 0.425387 + 1.86374i
\(764\) −1306.07 628.970i −0.0618481 0.0297845i
\(765\) 1763.05 + 7724.43i 0.0833245 + 0.365068i
\(766\) −18867.3 + 9086.04i −0.889954 + 0.428579i
\(767\) 4711.74 0.221814
\(768\) −3802.67 −0.178668
\(769\) 9765.34 4702.74i 0.457929 0.220527i −0.190675 0.981653i \(-0.561068\pi\)
0.648604 + 0.761126i \(0.275353\pi\)
\(770\) 15723.7 68890.2i 0.735902 3.22420i
\(771\) 24124.6 30251.3i 1.12688 1.41307i
\(772\) −594.959 746.055i −0.0277371 0.0347812i