Properties

Label 63.4.h.a.25.18
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.h (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.18
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.18

$q$-expansion

\(f(q)\) \(=\) \(q+3.66978 q^{2} +(5.19361 + 0.162683i) q^{3} +5.46732 q^{4} +(-7.38708 + 12.7948i) q^{5} +(19.0594 + 0.597013i) q^{6} +(15.9165 - 9.46920i) q^{7} -9.29438 q^{8} +(26.9471 + 1.68983i) q^{9} +O(q^{10})\) \(q+3.66978 q^{2} +(5.19361 + 0.162683i) q^{3} +5.46732 q^{4} +(-7.38708 + 12.7948i) q^{5} +(19.0594 + 0.597013i) q^{6} +(15.9165 - 9.46920i) q^{7} -9.29438 q^{8} +(26.9471 + 1.68983i) q^{9} +(-27.1090 + 46.9542i) q^{10} +(-24.2954 - 42.0808i) q^{11} +(28.3951 + 0.889443i) q^{12} +(-33.6012 - 58.1989i) q^{13} +(58.4101 - 34.7499i) q^{14} +(-40.4471 + 65.2494i) q^{15} -77.8470 q^{16} +(-5.40836 + 9.36755i) q^{17} +(98.8899 + 6.20130i) q^{18} +(67.2344 + 116.453i) q^{19} +(-40.3875 + 69.9533i) q^{20} +(84.2044 - 46.5899i) q^{21} +(-89.1588 - 154.428i) q^{22} +(-42.1647 + 73.0313i) q^{23} +(-48.2714 - 1.51204i) q^{24} +(-46.6379 - 80.7792i) q^{25} +(-123.309 - 213.577i) q^{26} +(139.678 + 13.1601i) q^{27} +(87.0205 - 51.7712i) q^{28} +(-55.1123 + 95.4573i) q^{29} +(-148.432 + 239.451i) q^{30} +151.197 q^{31} -211.327 q^{32} +(-119.335 - 222.504i) q^{33} +(-19.8475 + 34.3769i) q^{34} +(3.58020 + 273.598i) q^{35} +(147.328 + 9.23883i) q^{36} +(-152.177 - 263.578i) q^{37} +(246.736 + 427.359i) q^{38} +(-165.043 - 307.728i) q^{39} +(68.6584 - 118.920i) q^{40} +(127.117 + 220.173i) q^{41} +(309.012 - 170.975i) q^{42} +(41.3056 - 71.5433i) q^{43} +(-132.831 - 230.069i) q^{44} +(-220.681 + 332.299i) q^{45} +(-154.735 + 268.009i) q^{46} +46.0375 q^{47} +(-404.306 - 12.6644i) q^{48} +(163.669 - 301.433i) q^{49} +(-171.151 - 296.442i) q^{50} +(-29.6128 + 47.7715i) q^{51} +(-183.708 - 318.192i) q^{52} +(-3.20496 + 5.55115i) q^{53} +(512.586 + 48.2949i) q^{54} +717.887 q^{55} +(-147.934 + 88.0104i) q^{56} +(330.244 + 615.751i) q^{57} +(-202.250 + 350.308i) q^{58} +11.1917 q^{59} +(-221.137 + 356.739i) q^{60} +272.374 q^{61} +554.859 q^{62} +(444.904 - 228.271i) q^{63} -152.747 q^{64} +992.858 q^{65} +(-437.933 - 816.540i) q^{66} -57.4253 q^{67} +(-29.5692 + 51.2154i) q^{68} +(-230.868 + 372.436i) q^{69} +(13.1386 + 1004.05i) q^{70} +521.182 q^{71} +(-250.456 - 15.7059i) q^{72} +(-189.314 + 327.901i) q^{73} +(-558.456 - 967.274i) q^{74} +(-229.077 - 427.123i) q^{75} +(367.592 + 636.688i) q^{76} +(-785.168 - 439.721i) q^{77} +(-605.673 - 1129.30i) q^{78} -944.135 q^{79} +(575.062 - 996.036i) q^{80} +(723.289 + 91.0718i) q^{81} +(466.492 + 807.988i) q^{82} +(-411.031 + 711.926i) q^{83} +(460.372 - 254.722i) q^{84} +(-79.9039 - 138.398i) q^{85} +(151.583 - 262.549i) q^{86} +(-301.761 + 486.802i) q^{87} +(225.811 + 391.115i) q^{88} +(-12.4794 - 21.6149i) q^{89} +(-809.852 + 1219.47i) q^{90} +(-1085.91 - 608.145i) q^{91} +(-230.528 + 399.286i) q^{92} +(785.256 + 24.5972i) q^{93} +168.948 q^{94} -1986.66 q^{95} +(-1097.55 - 34.3793i) q^{96} +(22.7166 - 39.3463i) q^{97} +(600.628 - 1106.19i) q^{98} +(-583.580 - 1175.01i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.66978 1.29746 0.648732 0.761017i \(-0.275299\pi\)
0.648732 + 0.761017i \(0.275299\pi\)
\(3\) 5.19361 + 0.162683i 0.999510 + 0.0313084i
\(4\) 5.46732 0.683415
\(5\) −7.38708 + 12.7948i −0.660721 + 1.14440i 0.319706 + 0.947517i \(0.396416\pi\)
−0.980427 + 0.196885i \(0.936917\pi\)
\(6\) 19.0594 + 0.597013i 1.29683 + 0.0406216i
\(7\) 15.9165 9.46920i 0.859409 0.511289i
\(8\) −9.29438 −0.410758
\(9\) 26.9471 + 1.68983i 0.998040 + 0.0625862i
\(10\) −27.1090 + 46.9542i −0.857262 + 1.48482i
\(11\) −24.2954 42.0808i −0.665939 1.15344i −0.979030 0.203717i \(-0.934698\pi\)
0.313091 0.949723i \(-0.398636\pi\)
\(12\) 28.3951 + 0.889443i 0.683080 + 0.0213967i
\(13\) −33.6012 58.1989i −0.716868 1.24165i −0.962235 0.272221i \(-0.912242\pi\)
0.245367 0.969430i \(-0.421092\pi\)
\(14\) 58.4101 34.7499i 1.11505 0.663379i
\(15\) −40.4471 + 65.2494i −0.696226 + 1.12315i
\(16\) −77.8470 −1.21636
\(17\) −5.40836 + 9.36755i −0.0771599 + 0.133645i −0.902024 0.431687i \(-0.857919\pi\)
0.824864 + 0.565332i \(0.191252\pi\)
\(18\) 98.8899 + 6.20130i 1.29492 + 0.0812034i
\(19\) 67.2344 + 116.453i 0.811822 + 1.40612i 0.911587 + 0.411106i \(0.134858\pi\)
−0.0997650 + 0.995011i \(0.531809\pi\)
\(20\) −40.3875 + 69.9533i −0.451546 + 0.782101i
\(21\) 84.2044 46.5899i 0.874995 0.484131i
\(22\) −89.1588 154.428i −0.864033 1.49655i
\(23\) −42.1647 + 73.0313i −0.382258 + 0.662091i −0.991385 0.130983i \(-0.958187\pi\)
0.609127 + 0.793073i \(0.291520\pi\)
\(24\) −48.2714 1.51204i −0.410556 0.0128602i
\(25\) −46.6379 80.7792i −0.373103 0.646234i
\(26\) −123.309 213.577i −0.930111 1.61100i
\(27\) 139.678 + 13.1601i 0.995591 + 0.0938026i
\(28\) 87.0205 51.7712i 0.587333 0.349422i
\(29\) −55.1123 + 95.4573i −0.352900 + 0.611241i −0.986756 0.162210i \(-0.948138\pi\)
0.633856 + 0.773451i \(0.281471\pi\)
\(30\) −148.432 + 239.451i −0.903329 + 1.45725i
\(31\) 151.197 0.875991 0.437995 0.898977i \(-0.355689\pi\)
0.437995 + 0.898977i \(0.355689\pi\)
\(32\) −211.327 −1.16743
\(33\) −119.335 222.504i −0.629500 1.17372i
\(34\) −19.8475 + 34.3769i −0.100112 + 0.173400i
\(35\) 3.58020 + 273.598i 0.0172904 + 1.32133i
\(36\) 147.328 + 9.23883i 0.682075 + 0.0427724i
\(37\) −152.177 263.578i −0.676154 1.17113i −0.976130 0.217187i \(-0.930312\pi\)
0.299976 0.953947i \(-0.403021\pi\)
\(38\) 246.736 + 427.359i 1.05331 + 1.82439i
\(39\) −165.043 307.728i −0.677642 1.26349i
\(40\) 68.6584 118.920i 0.271396 0.470072i
\(41\) 127.117 + 220.173i 0.484203 + 0.838665i 0.999835 0.0181454i \(-0.00577619\pi\)
−0.515632 + 0.856810i \(0.672443\pi\)
\(42\) 309.012 170.975i 1.13528 0.628143i
\(43\) 41.3056 71.5433i 0.146489 0.253727i −0.783438 0.621470i \(-0.786536\pi\)
0.929928 + 0.367743i \(0.119869\pi\)
\(44\) −132.831 230.069i −0.455113 0.788279i
\(45\) −220.681 + 332.299i −0.731049 + 1.10081i
\(46\) −154.735 + 268.009i −0.495967 + 0.859039i
\(47\) 46.0375 0.142878 0.0714390 0.997445i \(-0.477241\pi\)
0.0714390 + 0.997445i \(0.477241\pi\)
\(48\) −404.306 12.6644i −1.21576 0.0380823i
\(49\) 163.669 301.433i 0.477168 0.878812i
\(50\) −171.151 296.442i −0.484088 0.838466i
\(51\) −29.6128 + 47.7715i −0.0813063 + 0.131164i
\(52\) −183.708 318.192i −0.489918 0.848564i
\(53\) −3.20496 + 5.55115i −0.00830631 + 0.0143870i −0.870149 0.492789i \(-0.835977\pi\)
0.861842 + 0.507176i \(0.169311\pi\)
\(54\) 512.586 + 48.2949i 1.29174 + 0.121706i
\(55\) 717.887 1.76000
\(56\) −147.934 + 88.0104i −0.353009 + 0.210016i
\(57\) 330.244 + 615.751i 0.767401 + 1.43085i
\(58\) −202.250 + 350.308i −0.457875 + 0.793063i
\(59\) 11.1917 0.0246956 0.0123478 0.999924i \(-0.496069\pi\)
0.0123478 + 0.999924i \(0.496069\pi\)
\(60\) −221.137 + 356.739i −0.475812 + 0.767581i
\(61\) 272.374 0.571705 0.285852 0.958274i \(-0.407723\pi\)
0.285852 + 0.958274i \(0.407723\pi\)
\(62\) 554.859 1.13657
\(63\) 444.904 228.271i 0.889724 0.456499i
\(64\) −152.747 −0.298335
\(65\) 992.858 1.89460
\(66\) −437.933 816.540i −0.816754 1.52287i
\(67\) −57.4253 −0.104711 −0.0523553 0.998629i \(-0.516673\pi\)
−0.0523553 + 0.998629i \(0.516673\pi\)
\(68\) −29.5692 + 51.2154i −0.0527323 + 0.0913350i
\(69\) −230.868 + 372.436i −0.402800 + 0.649798i
\(70\) 13.1386 + 1004.05i 0.0224337 + 1.71438i
\(71\) 521.182 0.871168 0.435584 0.900148i \(-0.356542\pi\)
0.435584 + 0.900148i \(0.356542\pi\)
\(72\) −250.456 15.7059i −0.409952 0.0257078i
\(73\) −189.314 + 327.901i −0.303527 + 0.525725i −0.976932 0.213549i \(-0.931498\pi\)
0.673405 + 0.739274i \(0.264831\pi\)
\(74\) −558.456 967.274i −0.877286 1.51950i
\(75\) −229.077 427.123i −0.352688 0.657598i
\(76\) 367.592 + 636.688i 0.554812 + 0.960962i
\(77\) −785.168 439.721i −1.16206 0.650790i
\(78\) −605.673 1129.30i −0.879217 1.63933i
\(79\) −944.135 −1.34460 −0.672300 0.740278i \(-0.734694\pi\)
−0.672300 + 0.740278i \(0.734694\pi\)
\(80\) 575.062 996.036i 0.803673 1.39200i
\(81\) 723.289 + 91.0718i 0.992166 + 0.124927i
\(82\) 466.492 + 807.988i 0.628237 + 1.08814i
\(83\) −411.031 + 711.926i −0.543572 + 0.941495i 0.455123 + 0.890429i \(0.349595\pi\)
−0.998695 + 0.0510662i \(0.983738\pi\)
\(84\) 460.372 254.722i 0.597985 0.330863i
\(85\) −79.9039 138.398i −0.101962 0.176604i
\(86\) 151.583 262.549i 0.190065 0.329202i
\(87\) −301.761 + 486.802i −0.371864 + 0.599892i
\(88\) 225.811 + 391.115i 0.273540 + 0.473784i
\(89\) −12.4794 21.6149i −0.0148631 0.0257436i 0.858498 0.512817i \(-0.171398\pi\)
−0.873361 + 0.487073i \(0.838065\pi\)
\(90\) −809.852 + 1219.47i −0.948510 + 1.42826i
\(91\) −1085.91 608.145i −1.25093 0.700560i
\(92\) −230.528 + 399.286i −0.261241 + 0.452483i
\(93\) 785.256 + 24.5972i 0.875561 + 0.0274259i
\(94\) 168.948 0.185379
\(95\) −1986.66 −2.14555
\(96\) −1097.55 34.3793i −1.16685 0.0365503i
\(97\) 22.7166 39.3463i 0.0237786 0.0411857i −0.853891 0.520451i \(-0.825764\pi\)
0.877670 + 0.479266i \(0.159097\pi\)
\(98\) 600.628 1106.19i 0.619108 1.14023i
\(99\) −583.580 1175.01i −0.592444 1.19286i
\(100\) −254.985 441.646i −0.254985 0.441646i
\(101\) −498.188 862.887i −0.490807 0.850103i 0.509137 0.860686i \(-0.329965\pi\)
−0.999944 + 0.0105823i \(0.996631\pi\)
\(102\) −108.673 + 175.311i −0.105492 + 0.170180i
\(103\) −53.7222 + 93.0496i −0.0513923 + 0.0890141i −0.890577 0.454832i \(-0.849699\pi\)
0.839185 + 0.543846i \(0.183033\pi\)
\(104\) 312.302 + 540.923i 0.294459 + 0.510018i
\(105\) −25.9157 + 1421.54i −0.0240868 + 1.32122i
\(106\) −11.7615 + 20.3715i −0.0107771 + 0.0186666i
\(107\) −169.103 292.895i −0.152783 0.264628i 0.779467 0.626444i \(-0.215490\pi\)
−0.932250 + 0.361816i \(0.882157\pi\)
\(108\) 763.662 + 71.9507i 0.680402 + 0.0641061i
\(109\) 316.833 548.771i 0.278414 0.482227i −0.692577 0.721344i \(-0.743525\pi\)
0.970991 + 0.239117i \(0.0768579\pi\)
\(110\) 2634.49 2.28354
\(111\) −747.466 1393.68i −0.639156 1.19173i
\(112\) −1239.05 + 737.148i −1.04535 + 0.621911i
\(113\) 553.218 + 958.202i 0.460552 + 0.797699i 0.998988 0.0449666i \(-0.0143182\pi\)
−0.538436 + 0.842666i \(0.680985\pi\)
\(114\) 1211.92 + 2259.67i 0.995676 + 1.85647i
\(115\) −622.947 1078.98i −0.505132 0.874914i
\(116\) −301.317 + 521.896i −0.241177 + 0.417731i
\(117\) −807.106 1625.07i −0.637752 1.28408i
\(118\) 41.0713 0.0320417
\(119\) 2.62120 + 200.311i 0.00201920 + 0.154307i
\(120\) 375.931 606.453i 0.285980 0.461344i
\(121\) −515.030 + 892.058i −0.386950 + 0.670217i
\(122\) 999.556 0.741767
\(123\) 624.377 + 1164.17i 0.457709 + 0.853413i
\(124\) 826.641 0.598665
\(125\) −468.698 −0.335373
\(126\) 1632.70 837.706i 1.15439 0.592292i
\(127\) 1593.37 1.11330 0.556649 0.830748i \(-0.312087\pi\)
0.556649 + 0.830748i \(0.312087\pi\)
\(128\) 1130.06 0.780347
\(129\) 226.164 364.848i 0.154361 0.249016i
\(130\) 3643.57 2.45817
\(131\) 79.3879 137.504i 0.0529478 0.0917082i −0.838337 0.545153i \(-0.816472\pi\)
0.891284 + 0.453445i \(0.149805\pi\)
\(132\) −652.441 1216.50i −0.430210 0.802141i
\(133\) 2172.85 + 1216.87i 1.41662 + 0.793354i
\(134\) −210.738 −0.135858
\(135\) −1200.19 + 1689.93i −0.765155 + 1.07738i
\(136\) 50.2673 87.0656i 0.0316940 0.0548957i
\(137\) 547.359 + 948.054i 0.341343 + 0.591224i 0.984682 0.174357i \(-0.0557848\pi\)
−0.643339 + 0.765581i \(0.722451\pi\)
\(138\) −847.234 + 1366.76i −0.522619 + 0.843090i
\(139\) −351.707 609.175i −0.214614 0.371723i 0.738539 0.674211i \(-0.235516\pi\)
−0.953153 + 0.302488i \(0.902183\pi\)
\(140\) 19.5741 + 1495.85i 0.0118165 + 0.903016i
\(141\) 239.101 + 7.48955i 0.142808 + 0.00447329i
\(142\) 1912.63 1.13031
\(143\) −1632.70 + 2827.93i −0.954781 + 1.65373i
\(144\) −2097.75 131.548i −1.21397 0.0761273i
\(145\) −814.238 1410.30i −0.466337 0.807719i
\(146\) −694.741 + 1203.33i −0.393816 + 0.682110i
\(147\) 899.068 1538.90i 0.504448 0.863442i
\(148\) −831.999 1441.07i −0.462094 0.800371i
\(149\) 1260.78 2183.74i 0.693203 1.20066i −0.277580 0.960703i \(-0.589532\pi\)
0.970783 0.239960i \(-0.0771345\pi\)
\(150\) −840.665 1567.45i −0.457600 0.853211i
\(151\) −962.151 1666.49i −0.518535 0.898129i −0.999768 0.0215361i \(-0.993144\pi\)
0.481233 0.876593i \(-0.340189\pi\)
\(152\) −624.902 1082.36i −0.333462 0.577573i
\(153\) −161.569 + 243.289i −0.0853730 + 0.128554i
\(154\) −2881.40 1613.68i −1.50773 0.844377i
\(155\) −1116.90 + 1934.53i −0.578785 + 1.00249i
\(156\) −902.344 1682.45i −0.463111 0.863486i
\(157\) −2177.11 −1.10670 −0.553350 0.832949i \(-0.686651\pi\)
−0.553350 + 0.832949i \(0.686651\pi\)
\(158\) −3464.77 −1.74457
\(159\) −17.5484 + 28.3091i −0.00875267 + 0.0141198i
\(160\) 1561.09 2703.88i 0.771342 1.33600i
\(161\) 20.4354 + 1561.67i 0.0100033 + 0.764451i
\(162\) 2654.31 + 334.214i 1.28730 + 0.162088i
\(163\) −61.7047 106.876i −0.0296508 0.0513568i 0.850819 0.525459i \(-0.176106\pi\)
−0.880470 + 0.474102i \(0.842773\pi\)
\(164\) 694.989 + 1203.76i 0.330912 + 0.573156i
\(165\) 3728.42 + 116.788i 1.75914 + 0.0551028i
\(166\) −1508.39 + 2612.62i −0.705266 + 1.22156i
\(167\) −1726.77 2990.86i −0.800129 1.38586i −0.919531 0.393019i \(-0.871431\pi\)
0.119401 0.992846i \(-0.461903\pi\)
\(168\) −782.628 + 433.025i −0.359411 + 0.198861i
\(169\) −1159.57 + 2008.44i −0.527799 + 0.914175i
\(170\) −293.230 507.890i −0.132293 0.229137i
\(171\) 1614.98 + 3251.69i 0.722227 + 1.45417i
\(172\) 225.831 391.150i 0.100113 0.173401i
\(173\) −1769.88 −0.777812 −0.388906 0.921277i \(-0.627147\pi\)
−0.388906 + 0.921277i \(0.627147\pi\)
\(174\) −1107.40 + 1786.46i −0.482480 + 0.778339i
\(175\) −1507.23 844.097i −0.651060 0.364616i
\(176\) 1891.32 + 3275.86i 0.810021 + 1.40300i
\(177\) 58.1255 + 1.82071i 0.0246835 + 0.000773181i
\(178\) −45.7967 79.3222i −0.0192843 0.0334014i
\(179\) 1991.11 3448.71i 0.831412 1.44005i −0.0655062 0.997852i \(-0.520866\pi\)
0.896918 0.442196i \(-0.145800\pi\)
\(180\) −1206.53 + 1816.79i −0.499610 + 0.752308i
\(181\) 4413.63 1.81250 0.906250 0.422743i \(-0.138933\pi\)
0.906250 + 0.422743i \(0.138933\pi\)
\(182\) −3985.05 2231.76i −1.62303 0.908952i
\(183\) 1414.61 + 44.3108i 0.571424 + 0.0178992i
\(184\) 391.894 678.781i 0.157015 0.271959i
\(185\) 4496.57 1.78700
\(186\) 2881.72 + 90.2664i 1.13601 + 0.0355842i
\(187\) 525.592 0.205535
\(188\) 251.702 0.0976450
\(189\) 2347.79 1113.17i 0.903580 0.428420i
\(190\) −7290.63 −2.78378
\(191\) −4065.55 −1.54017 −0.770086 0.637940i \(-0.779787\pi\)
−0.770086 + 0.637940i \(0.779787\pi\)
\(192\) −793.309 24.8495i −0.298188 0.00934039i
\(193\) 1291.73 0.481764 0.240882 0.970554i \(-0.422563\pi\)
0.240882 + 0.970554i \(0.422563\pi\)
\(194\) 83.3650 144.392i 0.0308519 0.0534370i
\(195\) 5156.51 + 161.522i 1.89367 + 0.0593169i
\(196\) 894.828 1648.03i 0.326104 0.600594i
\(197\) −1051.46 −0.380272 −0.190136 0.981758i \(-0.560893\pi\)
−0.190136 + 0.981758i \(0.560893\pi\)
\(198\) −2141.61 4312.03i −0.768675 1.54769i
\(199\) −1374.08 + 2379.98i −0.489479 + 0.847802i −0.999927 0.0121065i \(-0.996146\pi\)
0.510448 + 0.859909i \(0.329480\pi\)
\(200\) 433.471 + 750.793i 0.153255 + 0.265446i
\(201\) −298.244 9.34215i −0.104659 0.00327833i
\(202\) −1828.24 3166.61i −0.636805 1.10298i
\(203\) 26.7106 + 2041.21i 0.00923505 + 0.705740i
\(204\) −161.903 + 261.182i −0.0555660 + 0.0896393i
\(205\) −3756.09 −1.27969
\(206\) −197.149 + 341.472i −0.0666797 + 0.115493i
\(207\) −1259.62 + 1896.73i −0.422946 + 0.636868i
\(208\) 2615.75 + 4530.61i 0.871969 + 1.51029i
\(209\) 3266.97 5658.56i 1.08125 1.87278i
\(210\) −95.1050 + 5216.75i −0.0312518 + 1.71424i
\(211\) −710.194 1230.09i −0.231715 0.401341i 0.726598 0.687063i \(-0.241100\pi\)
−0.958313 + 0.285721i \(0.907767\pi\)
\(212\) −17.5225 + 30.3499i −0.00567666 + 0.00983226i
\(213\) 2706.81 + 84.7877i 0.870741 + 0.0272749i
\(214\) −620.571 1074.86i −0.198231 0.343345i
\(215\) 610.255 + 1056.99i 0.193577 + 0.335285i
\(216\) −1298.22 122.315i −0.408947 0.0385301i
\(217\) 2406.52 1431.71i 0.752834 0.447884i
\(218\) 1162.71 2013.87i 0.361232 0.625673i
\(219\) −1036.56 + 1672.19i −0.319838 + 0.515964i
\(220\) 3924.92 1.20281
\(221\) 726.908 0.221254
\(222\) −2743.04 5114.49i −0.829283 1.54623i
\(223\) −2310.15 + 4001.30i −0.693718 + 1.20155i 0.276893 + 0.960901i \(0.410695\pi\)
−0.970611 + 0.240654i \(0.922638\pi\)
\(224\) −3363.57 + 2001.09i −1.00330 + 0.596891i
\(225\) −1120.25 2255.57i −0.331927 0.668318i
\(226\) 2030.19 + 3516.39i 0.597550 + 1.03499i
\(227\) −326.060 564.753i −0.0953364 0.165128i 0.814413 0.580286i \(-0.197059\pi\)
−0.909749 + 0.415159i \(0.863726\pi\)
\(228\) 1805.55 + 3366.51i 0.524454 + 0.977861i
\(229\) −2271.83 + 3934.92i −0.655574 + 1.13549i 0.326175 + 0.945309i \(0.394240\pi\)
−0.981749 + 0.190179i \(0.939093\pi\)
\(230\) −2286.08 3959.61i −0.655391 1.13517i
\(231\) −4006.32 2411.47i −1.14111 0.686853i
\(232\) 512.235 887.217i 0.144956 0.251072i
\(233\) 482.032 + 834.903i 0.135532 + 0.234748i 0.925801 0.378012i \(-0.123392\pi\)
−0.790269 + 0.612761i \(0.790059\pi\)
\(234\) −2961.91 5963.66i −0.827461 1.66605i
\(235\) −340.083 + 589.041i −0.0944024 + 0.163510i
\(236\) 61.1889 0.0168774
\(237\) −4903.46 153.595i −1.34394 0.0420974i
\(238\) 9.61924 + 735.099i 0.00261984 + 0.200208i
\(239\) −219.927 380.924i −0.0595225 0.103096i 0.834729 0.550661i \(-0.185624\pi\)
−0.894251 + 0.447565i \(0.852291\pi\)
\(240\) 3148.68 5079.47i 0.846861 1.36616i
\(241\) 3139.96 + 5438.58i 0.839265 + 1.45365i 0.890510 + 0.454963i \(0.150348\pi\)
−0.0512452 + 0.998686i \(0.516319\pi\)
\(242\) −1890.05 + 3273.66i −0.502054 + 0.869583i
\(243\) 3741.66 + 590.658i 0.987768 + 0.155929i
\(244\) 1489.16 0.390712
\(245\) 2647.74 + 4320.81i 0.690440 + 1.12672i
\(246\) 2291.33 + 4272.26i 0.593861 + 1.10727i
\(247\) 4518.30 7825.93i 1.16394 2.01600i
\(248\) −1405.28 −0.359820
\(249\) −2250.55 + 3630.60i −0.572783 + 0.924015i
\(250\) −1720.02 −0.435135
\(251\) 2262.70 0.569005 0.284503 0.958675i \(-0.408172\pi\)
0.284503 + 0.958675i \(0.408172\pi\)
\(252\) 2432.43 1248.03i 0.608051 0.311979i
\(253\) 4097.62 1.01824
\(254\) 5847.33 1.44446
\(255\) −392.474 731.782i −0.0963832 0.179710i
\(256\) 5369.07 1.31081
\(257\) 2425.65 4201.35i 0.588746 1.01974i −0.405651 0.914028i \(-0.632955\pi\)
0.994397 0.105710i \(-0.0337116\pi\)
\(258\) 829.972 1338.91i 0.200278 0.323090i
\(259\) −4917.99 2754.24i −1.17988 0.660773i
\(260\) 5428.27 1.29480
\(261\) −1646.42 + 2479.16i −0.390463 + 0.587956i
\(262\) 291.337 504.610i 0.0686979 0.118988i
\(263\) −3842.20 6654.89i −0.900838 1.56030i −0.826409 0.563070i \(-0.809620\pi\)
−0.0744287 0.997226i \(-0.523713\pi\)
\(264\) 1109.14 + 2068.03i 0.258572 + 0.482116i
\(265\) −47.3505 82.0135i −0.0109763 0.0190115i
\(266\) 7973.91 + 4465.66i 1.83801 + 1.02935i
\(267\) −61.2966 114.290i −0.0140498 0.0261963i
\(268\) −313.963 −0.0715609
\(269\) −565.528 + 979.522i −0.128182 + 0.222017i −0.922972 0.384867i \(-0.874247\pi\)
0.794791 + 0.606884i \(0.207581\pi\)
\(270\) −4404.44 + 6201.68i −0.992762 + 1.39786i
\(271\) 284.946 + 493.541i 0.0638718 + 0.110629i 0.896193 0.443664i \(-0.146322\pi\)
−0.832321 + 0.554294i \(0.812988\pi\)
\(272\) 421.024 729.235i 0.0938542 0.162560i
\(273\) −5540.85 3335.13i −1.22838 0.739381i
\(274\) 2008.69 + 3479.15i 0.442881 + 0.767093i
\(275\) −2266.17 + 3925.12i −0.496928 + 0.860705i
\(276\) −1262.23 + 2036.23i −0.275280 + 0.444082i
\(277\) −2559.30 4432.83i −0.555138 0.961527i −0.997893 0.0648845i \(-0.979332\pi\)
0.442755 0.896643i \(-0.354001\pi\)
\(278\) −1290.69 2235.54i −0.278455 0.482298i
\(279\) 4074.31 + 255.496i 0.874274 + 0.0548249i
\(280\) −33.2758 2542.92i −0.00710217 0.542746i
\(281\) −1926.21 + 3336.30i −0.408926 + 0.708281i −0.994770 0.102143i \(-0.967430\pi\)
0.585844 + 0.810424i \(0.300763\pi\)
\(282\) 877.448 + 27.4850i 0.185288 + 0.00580393i
\(283\) 2040.86 0.428680 0.214340 0.976759i \(-0.431240\pi\)
0.214340 + 0.976759i \(0.431240\pi\)
\(284\) 2849.47 0.595370
\(285\) −10317.9 323.197i −2.14450 0.0671739i
\(286\) −5991.68 + 10377.9i −1.23879 + 2.14565i
\(287\) 4108.12 + 2300.68i 0.844928 + 0.473188i
\(288\) −5694.63 357.105i −1.16514 0.0730647i
\(289\) 2398.00 + 4153.46i 0.488093 + 0.845401i
\(290\) −2988.08 5175.50i −0.605055 1.04799i
\(291\) 124.382 200.654i 0.0250564 0.0404210i
\(292\) −1035.04 + 1792.74i −0.207435 + 0.359288i
\(293\) 966.517 + 1674.06i 0.192712 + 0.333786i 0.946148 0.323735i \(-0.104938\pi\)
−0.753436 + 0.657521i \(0.771605\pi\)
\(294\) 3299.39 5647.42i 0.654504 1.12029i
\(295\) −82.6743 + 143.196i −0.0163169 + 0.0282617i
\(296\) 1414.39 + 2449.79i 0.277736 + 0.481052i
\(297\) −2839.73 6197.47i −0.554807 1.21082i
\(298\) 4626.80 8013.85i 0.899407 1.55782i
\(299\) 5667.12 1.09611
\(300\) −1252.44 2335.22i −0.241032 0.449413i
\(301\) −20.0190 1529.85i −0.00383348 0.292953i
\(302\) −3530.89 6115.68i −0.672781 1.16529i
\(303\) −2447.01 4562.54i −0.463951 0.865053i
\(304\) −5233.99 9065.54i −0.987467 1.71034i
\(305\) −2012.05 + 3484.98i −0.377737 + 0.654260i
\(306\) −592.923 + 892.817i −0.110768 + 0.166794i
\(307\) −5467.25 −1.01639 −0.508197 0.861241i \(-0.669688\pi\)
−0.508197 + 0.861241i \(0.669688\pi\)
\(308\) −4292.77 2404.09i −0.794166 0.444760i
\(309\) −294.150 + 474.523i −0.0541540 + 0.0873614i
\(310\) −4098.79 + 7099.31i −0.750953 + 1.30069i
\(311\) 2490.31 0.454060 0.227030 0.973888i \(-0.427098\pi\)
0.227030 + 0.973888i \(0.427098\pi\)
\(312\) 1533.97 + 2860.15i 0.278347 + 0.518987i
\(313\) 9324.86 1.68394 0.841968 0.539527i \(-0.181397\pi\)
0.841968 + 0.539527i \(0.181397\pi\)
\(314\) −7989.51 −1.43590
\(315\) −365.857 + 7378.71i −0.0654404 + 1.31982i
\(316\) −5161.89 −0.918921
\(317\) −5834.66 −1.03378 −0.516888 0.856053i \(-0.672910\pi\)
−0.516888 + 0.856053i \(0.672910\pi\)
\(318\) −64.3987 + 103.888i −0.0113563 + 0.0183200i
\(319\) 5355.90 0.940040
\(320\) 1128.36 1954.37i 0.197116 0.341415i
\(321\) −830.604 1548.69i −0.144423 0.269282i
\(322\) 74.9935 + 5730.98i 0.0129790 + 0.991848i
\(323\) −1454.51 −0.250561
\(324\) 3954.45 + 497.919i 0.678061 + 0.0853770i
\(325\) −3134.18 + 5428.55i −0.534932 + 0.926529i
\(326\) −226.443 392.211i −0.0384709 0.0666336i
\(327\) 1734.78 2798.56i 0.293375 0.473274i
\(328\) −1181.47 2046.37i −0.198890 0.344488i
\(329\) 732.755 435.939i 0.122791 0.0730519i
\(330\) 13682.5 + 428.588i 2.28242 + 0.0714940i
\(331\) 10038.0 1.66689 0.833443 0.552606i \(-0.186366\pi\)
0.833443 + 0.552606i \(0.186366\pi\)
\(332\) −2247.24 + 3892.33i −0.371486 + 0.643432i
\(333\) −3655.32 7359.80i −0.601532 1.21116i
\(334\) −6336.88 10975.8i −1.03814 1.79811i
\(335\) 424.205 734.745i 0.0691845 0.119831i
\(336\) −6555.06 + 3626.89i −1.06431 + 0.588877i
\(337\) 73.3892 + 127.114i 0.0118628 + 0.0205470i 0.871896 0.489691i \(-0.162891\pi\)
−0.860033 + 0.510238i \(0.829557\pi\)
\(338\) −4255.39 + 7370.55i −0.684801 + 1.18611i
\(339\) 2717.31 + 5066.52i 0.435351 + 0.811728i
\(340\) −436.861 756.665i −0.0696826 0.120694i
\(341\) −3673.38 6362.48i −0.583357 1.01040i
\(342\) 5926.64 + 11933.0i 0.937064 + 1.88673i
\(343\) −249.299 6347.56i −0.0392446 0.999230i
\(344\) −383.910 + 664.951i −0.0601716 + 0.104220i
\(345\) −3059.81 5705.12i −0.477492 0.890300i
\(346\) −6495.08 −1.00918
\(347\) 7132.81 1.10349 0.551743 0.834015i \(-0.313963\pi\)
0.551743 + 0.834015i \(0.313963\pi\)
\(348\) −1649.82 + 2661.50i −0.254137 + 0.409976i
\(349\) −3376.11 + 5847.59i −0.517819 + 0.896889i 0.481966 + 0.876190i \(0.339923\pi\)
−0.999786 + 0.0206997i \(0.993411\pi\)
\(350\) −5531.20 3097.66i −0.844728 0.473076i
\(351\) −3927.42 8571.27i −0.597237 1.30342i
\(352\) 5134.26 + 8892.79i 0.777434 + 1.34656i
\(353\) −5175.49 8964.22i −0.780350 1.35161i −0.931738 0.363132i \(-0.881707\pi\)
0.151387 0.988475i \(-0.451626\pi\)
\(354\) 213.308 + 6.68162i 0.0320260 + 0.00100318i
\(355\) −3850.02 + 6668.42i −0.575599 + 0.996966i
\(356\) −68.2288 118.176i −0.0101576 0.0175936i
\(357\) −18.9738 + 1040.76i −0.00281289 + 0.154294i
\(358\) 7306.96 12656.0i 1.07873 1.86841i
\(359\) 3507.97 + 6075.98i 0.515720 + 0.893253i 0.999833 + 0.0182477i \(0.00580875\pi\)
−0.484114 + 0.875005i \(0.660858\pi\)
\(360\) 2051.10 3088.52i 0.300284 0.452164i
\(361\) −5611.42 + 9719.27i −0.818111 + 1.41701i
\(362\) 16197.1 2.35165
\(363\) −2819.99 + 4549.21i −0.407744 + 0.657773i
\(364\) −5937.01 3324.93i −0.854901 0.478773i
\(365\) −2796.95 4844.46i −0.401094 0.694714i
\(366\) 5191.30 + 162.611i 0.741403 + 0.0232236i
\(367\) 4868.15 + 8431.88i 0.692412 + 1.19929i 0.971045 + 0.238895i \(0.0767852\pi\)
−0.278633 + 0.960398i \(0.589881\pi\)
\(368\) 3282.39 5685.27i 0.464963 0.805340i
\(369\) 3053.38 + 6147.82i 0.430765 + 0.867325i
\(370\) 16501.4 2.31856
\(371\) 1.55330 + 118.703i 0.000217368 + 0.0166112i
\(372\) 4293.25 + 134.481i 0.598372 + 0.0187433i
\(373\) 1151.72 1994.83i 0.159876 0.276913i −0.774948 0.632025i \(-0.782224\pi\)
0.934824 + 0.355112i \(0.115557\pi\)
\(374\) 1928.81 0.266675
\(375\) −2434.23 76.2494i −0.335209 0.0105000i
\(376\) −427.891 −0.0586882
\(377\) 7407.35 1.01193
\(378\) 8615.89 4085.10i 1.17236 0.555859i
\(379\) −11334.4 −1.53617 −0.768084 0.640349i \(-0.778790\pi\)
−0.768084 + 0.640349i \(0.778790\pi\)
\(380\) −10861.7 −1.46630
\(381\) 8275.34 + 259.215i 1.11275 + 0.0348556i
\(382\) −14919.7 −1.99832
\(383\) −6146.43 + 10645.9i −0.820020 + 1.42032i 0.0856460 + 0.996326i \(0.472705\pi\)
−0.905666 + 0.423991i \(0.860629\pi\)
\(384\) 5869.10 + 183.843i 0.779964 + 0.0244314i
\(385\) 11426.2 6797.82i 1.51256 0.899867i
\(386\) 4740.36 0.625072
\(387\) 1233.96 1858.08i 0.162082 0.244061i
\(388\) 124.199 215.119i 0.0162506 0.0281469i
\(389\) 5454.39 + 9447.27i 0.710921 + 1.23135i 0.964512 + 0.264040i \(0.0850551\pi\)
−0.253591 + 0.967312i \(0.581612\pi\)
\(390\) 18923.3 + 592.749i 2.45697 + 0.0769616i
\(391\) −456.083 789.959i −0.0589900 0.102174i
\(392\) −1521.20 + 2801.63i −0.196000 + 0.360979i
\(393\) 434.679 701.226i 0.0557930 0.0900055i
\(394\) −3858.64 −0.493389
\(395\) 6974.40 12080.0i 0.888405 1.53876i
\(396\) −3190.62 6424.16i −0.404885 0.815217i
\(397\) −3021.46 5233.33i −0.381972 0.661595i 0.609372 0.792884i \(-0.291422\pi\)
−0.991344 + 0.131290i \(0.958088\pi\)
\(398\) −5042.60 + 8734.03i −0.635082 + 1.09999i
\(399\) 11087.0 + 6673.44i 1.39109 + 0.837318i
\(400\) 3630.62 + 6288.42i 0.453828 + 0.786052i
\(401\) 7151.44 12386.7i 0.890588 1.54254i 0.0514171 0.998677i \(-0.483626\pi\)
0.839171 0.543867i \(-0.183040\pi\)
\(402\) −1094.49 34.2837i −0.135792 0.00425352i
\(403\) −5080.38 8799.48i −0.627970 1.08768i
\(404\) −2723.75 4717.68i −0.335425 0.580974i
\(405\) −6508.24 + 8581.58i −0.798511 + 1.05289i
\(406\) 98.0221 + 7490.82i 0.0119822 + 0.915672i
\(407\) −7394.38 + 12807.4i −0.900555 + 1.55981i
\(408\) 275.233 444.007i 0.0333972 0.0538765i
\(409\) −5632.60 −0.680963 −0.340482 0.940251i \(-0.610590\pi\)
−0.340482 + 0.940251i \(0.610590\pi\)
\(410\) −13784.1 −1.66036
\(411\) 2688.53 + 5012.86i 0.322666 + 0.601621i
\(412\) −293.717 + 508.732i −0.0351223 + 0.0608336i
\(413\) 178.133 105.977i 0.0212236 0.0126266i
\(414\) −4622.55 + 6960.59i −0.548758 + 0.826315i
\(415\) −6072.64 10518.1i −0.718299 1.24413i
\(416\) 7100.82 + 12299.0i 0.836890 + 1.44954i
\(417\) −1727.53 3221.03i −0.202871 0.378260i
\(418\) 11989.1 20765.7i 1.40288 2.42986i
\(419\) −2152.39 3728.05i −0.250958 0.434671i 0.712832 0.701335i \(-0.247412\pi\)
−0.963790 + 0.266663i \(0.914079\pi\)
\(420\) −141.689 + 7772.03i −0.0164613 + 0.902943i
\(421\) 1529.35 2648.91i 0.177045 0.306651i −0.763822 0.645427i \(-0.776680\pi\)
0.940867 + 0.338776i \(0.110013\pi\)
\(422\) −2606.26 4514.17i −0.300641 0.520726i
\(423\) 1240.58 + 77.7955i 0.142598 + 0.00894219i
\(424\) 29.7881 51.5945i 0.00341188 0.00590955i
\(425\) 1008.94 0.115155
\(426\) 9933.43 + 311.153i 1.12976 + 0.0353883i
\(427\) 4335.24 2579.17i 0.491328 0.292306i
\(428\) −924.539 1601.35i −0.104414 0.180851i
\(429\) −8939.68 + 14421.5i −1.00609 + 1.62303i
\(430\) 2239.50 + 3878.94i 0.251159 + 0.435021i
\(431\) −7618.49 + 13195.6i −0.851438 + 1.47473i 0.0284726 + 0.999595i \(0.490936\pi\)
−0.879911 + 0.475139i \(0.842398\pi\)
\(432\) −10873.5 1024.48i −1.21100 0.114098i
\(433\) 1574.49 0.174747 0.0873734 0.996176i \(-0.472153\pi\)
0.0873734 + 0.996176i \(0.472153\pi\)
\(434\) 8831.40 5254.07i 0.976776 0.581114i
\(435\) −3999.40 7457.01i −0.440820 0.821923i
\(436\) 1732.23 3000.31i 0.190272 0.329561i
\(437\) −11339.7 −1.24130
\(438\) −3803.97 + 6136.58i −0.414979 + 0.669445i
\(439\) 1092.40 0.118764 0.0593821 0.998235i \(-0.481087\pi\)
0.0593821 + 0.998235i \(0.481087\pi\)
\(440\) −6672.32 −0.722933
\(441\) 4919.76 7846.15i 0.531234 0.847225i
\(442\) 2667.60 0.287069
\(443\) −12503.6 −1.34100 −0.670500 0.741909i \(-0.733921\pi\)
−0.670500 + 0.741909i \(0.733921\pi\)
\(444\) −4086.64 7619.68i −0.436809 0.814446i
\(445\) 368.745 0.0392813
\(446\) −8477.75 + 14683.9i −0.900075 + 1.55897i
\(447\) 6903.26 11136.4i 0.730454 1.17837i
\(448\) −2431.20 + 1446.39i −0.256391 + 0.152535i
\(449\) 1180.23 0.124050 0.0620249 0.998075i \(-0.480244\pi\)
0.0620249 + 0.998075i \(0.480244\pi\)
\(450\) −4111.08 8277.47i −0.430663 0.867119i
\(451\) 6176.71 10698.4i 0.644900 1.11700i
\(452\) 3024.62 + 5238.80i 0.314748 + 0.545160i
\(453\) −4725.92 8811.64i −0.490162 0.913923i
\(454\) −1196.57 2072.52i −0.123696 0.214247i
\(455\) 15802.8 9401.57i 1.62823 0.968686i
\(456\) −3069.41 5723.02i −0.315216 0.587731i
\(457\) −12893.6 −1.31977 −0.659886 0.751366i \(-0.729395\pi\)
−0.659886 + 0.751366i \(0.729395\pi\)
\(458\) −8337.12 + 14440.3i −0.850585 + 1.47326i
\(459\) −878.704 + 1237.26i −0.0893560 + 0.125818i
\(460\) −3405.85 5899.11i −0.345215 0.597929i
\(461\) 1100.30 1905.78i 0.111163 0.192540i −0.805076 0.593171i \(-0.797876\pi\)
0.916240 + 0.400631i \(0.131209\pi\)
\(462\) −14702.3 8849.57i −1.48055 0.891168i
\(463\) 8130.93 + 14083.2i 0.816148 + 1.41361i 0.908501 + 0.417883i \(0.137228\pi\)
−0.0923526 + 0.995726i \(0.529439\pi\)
\(464\) 4290.33 7431.06i 0.429253 0.743488i
\(465\) −6115.46 + 9865.49i −0.609888 + 0.983873i
\(466\) 1768.95 + 3063.92i 0.175848 + 0.304578i
\(467\) −879.425 1523.21i −0.0871412 0.150933i 0.819160 0.573564i \(-0.194440\pi\)
−0.906302 + 0.422631i \(0.861106\pi\)
\(468\) −4412.71 8884.78i −0.435850 0.877562i
\(469\) −914.008 + 543.772i −0.0899893 + 0.0535374i
\(470\) −1248.03 + 2161.65i −0.122484 + 0.212148i
\(471\) −11307.0 354.179i −1.10616 0.0346491i
\(472\) −104.020 −0.0101439
\(473\) −4014.14 −0.390212
\(474\) −17994.7 563.661i −1.74372 0.0546199i
\(475\) 6271.34 10862.3i 0.605787 1.04925i
\(476\) 14.3309 + 1095.17i 0.00137995 + 0.105456i
\(477\) −95.7446 + 144.171i −0.00919045 + 0.0138389i
\(478\) −807.084 1397.91i −0.0772284 0.133763i
\(479\) 2144.59 + 3714.54i 0.204570 + 0.354325i 0.949996 0.312264i \(-0.101087\pi\)
−0.745426 + 0.666588i \(0.767754\pi\)
\(480\) 8547.54 13788.9i 0.812792 1.31120i
\(481\) −10226.6 + 17713.0i −0.969427 + 1.67910i
\(482\) 11523.0 + 19958.4i 1.08892 + 1.88606i
\(483\) −147.924 + 8114.01i −0.0139353 + 0.764389i
\(484\) −2815.84 + 4877.17i −0.264447 + 0.458036i
\(485\) 335.619 + 581.309i 0.0314220 + 0.0544245i
\(486\) 13731.1 + 2167.59i 1.28159 + 0.202312i
\(487\) −4752.75 + 8232.00i −0.442233 + 0.765970i −0.997855 0.0654649i \(-0.979147\pi\)
0.555622 + 0.831435i \(0.312480\pi\)
\(488\) −2531.55 −0.234832
\(489\) −303.083 565.109i −0.0280284 0.0522599i
\(490\) 9716.63 + 15856.5i 0.895821 + 1.46188i
\(491\) −1097.11 1900.25i −0.100839 0.174658i 0.811192 0.584780i \(-0.198819\pi\)
−0.912030 + 0.410122i \(0.865486\pi\)
\(492\) 3413.67 + 6364.90i 0.312805 + 0.583236i
\(493\) −596.134 1032.53i −0.0544595 0.0943266i
\(494\) 16581.2 28719.5i 1.51017 2.61569i
\(495\) 19345.0 + 1213.11i 1.75655 + 0.110152i
\(496\) −11770.2 −1.06552
\(497\) 8295.39 4935.18i 0.748690 0.445419i
\(498\) −8259.04 + 13323.5i −0.743165 + 1.19888i
\(499\) 3835.89 6643.96i 0.344124 0.596041i −0.641070 0.767482i \(-0.721509\pi\)
0.985194 + 0.171442i \(0.0548425\pi\)
\(500\) −2562.52 −0.229199
\(501\) −8481.61 15814.2i −0.756348 1.41024i
\(502\) 8303.62 0.738265
\(503\) 8273.15 0.733363 0.366681 0.930347i \(-0.380494\pi\)
0.366681 + 0.930347i \(0.380494\pi\)
\(504\) −4135.11 + 2121.64i −0.365461 + 0.187511i
\(505\) 14720.6 1.29715
\(506\) 15037.4 1.32113
\(507\) −6349.11 + 10242.4i −0.556162 + 0.897202i
\(508\) 8711.47 0.760844
\(509\) 2597.50 4499.00i 0.226193 0.391777i −0.730484 0.682930i \(-0.760705\pi\)
0.956677 + 0.291153i \(0.0940388\pi\)
\(510\) −1440.30 2685.48i −0.125054 0.233167i
\(511\) 91.7523 + 7011.68i 0.00794302 + 0.607003i
\(512\) 10662.8 0.920379
\(513\) 7858.59 + 17150.7i 0.676345 + 1.47607i
\(514\) 8901.61 15418.0i 0.763877 1.32307i
\(515\) −793.701 1374.73i −0.0679119 0.117627i
\(516\) 1236.51 1994.74i 0.105493 0.170181i
\(517\) −1118.50 1937.30i −0.0951480 0.164801i
\(518\) −18048.0 10107.5i −1.53085 0.857329i
\(519\) −9192.06 287.930i −0.777431 0.0243521i
\(520\) −9228.00 −0.778220
\(521\) −1022.06 + 1770.25i −0.0859445 + 0.148860i −0.905793 0.423720i \(-0.860724\pi\)
0.819849 + 0.572580i \(0.194057\pi\)
\(522\) −6042.01 + 9098.00i −0.506613 + 0.762852i
\(523\) 5284.21 + 9152.52i 0.441802 + 0.765224i 0.997823 0.0659445i \(-0.0210060\pi\)
−0.556021 + 0.831168i \(0.687673\pi\)
\(524\) 434.039 751.778i 0.0361853 0.0626748i
\(525\) −7690.62 4629.11i −0.639326 0.384821i
\(526\) −14100.1 24422.0i −1.16881 2.02443i
\(527\) −817.725 + 1416.34i −0.0675914 + 0.117072i
\(528\) 9289.85 + 17321.2i 0.765698 + 1.42767i
\(529\) 2527.78 + 4378.25i 0.207757 + 0.359846i
\(530\) −173.766 300.972i −0.0142414 0.0246668i
\(531\) 301.585 + 18.9121i 0.0246472 + 0.00154560i
\(532\) 11879.7 + 6653.03i 0.968139 + 0.542191i
\(533\) 8542.55 14796.1i 0.694220 1.20242i
\(534\) −224.945 419.418i −0.0182291 0.0339888i
\(535\) 4996.70 0.403787
\(536\) 533.733 0.0430107
\(537\) 10902.1 17587.3i 0.876090 1.41331i
\(538\) −2075.36 + 3594.64i −0.166311 + 0.288059i
\(539\) −16660.9 + 436.112i −1.33142 + 0.0348510i
\(540\) −6561.83 + 9239.40i −0.522919 + 0.736297i
\(541\) 1228.08 + 2127.10i 0.0975957 + 0.169041i 0.910689 0.413093i \(-0.135551\pi\)
−0.813093 + 0.582133i \(0.802218\pi\)
\(542\) 1045.69 + 1811.19i 0.0828714 + 0.143537i
\(543\) 22922.6 + 718.024i 1.81161 + 0.0567465i
\(544\) 1142.93 1979.61i 0.0900785 0.156021i
\(545\) 4680.95 + 8107.64i 0.367908 + 0.637235i
\(546\) −20333.7 12239.2i −1.59378 0.959321i
\(547\) −5932.12 + 10274.7i −0.463691 + 0.803136i −0.999141 0.0414303i \(-0.986809\pi\)
0.535450 + 0.844567i \(0.320142\pi\)
\(548\) 2992.59 + 5183.32i 0.233279 + 0.404052i
\(549\) 7339.69 + 460.266i 0.570584 + 0.0357808i
\(550\) −8316.36 + 14404.4i −0.644747 + 1.11673i
\(551\) −14821.8 −1.14597
\(552\) 2145.77 3461.57i 0.165453 0.266910i
\(553\) −15027.3 + 8940.20i −1.15556 + 0.687479i
\(554\) −9392.07 16267.5i −0.720272 1.24755i
\(555\) 23353.4 + 731.517i 1.78612 + 0.0559481i
\(556\) −1922.90 3330.55i −0.146671 0.254041i
\(557\) 10764.5 18644.6i 0.818861 1.41831i −0.0876619 0.996150i \(-0.527940\pi\)
0.906522 0.422158i \(-0.138727\pi\)
\(558\) 14951.8 + 937.616i 1.13434 + 0.0711334i
\(559\) −5551.66 −0.420054
\(560\) −278.708 21298.8i −0.0210314 1.60721i
\(561\) 2729.72 + 85.5052i 0.205435 + 0.00643499i
\(562\) −7068.79 + 12243.5i −0.530567 + 0.918969i
\(563\) 606.036 0.0453666 0.0226833 0.999743i \(-0.492779\pi\)
0.0226833 + 0.999743i \(0.492779\pi\)
\(564\) 1307.24 + 40.9478i 0.0975971 + 0.00305711i
\(565\) −16346.7 −1.21718
\(566\) 7489.51 0.556197
\(567\) 12374.6 5399.43i 0.916550 0.399920i
\(568\) −4844.07 −0.357839
\(569\) 14991.6 1.10453 0.552267 0.833667i \(-0.313763\pi\)
0.552267 + 0.833667i \(0.313763\pi\)
\(570\) −37864.6 1186.06i −2.78241 0.0871557i
\(571\) −851.541 −0.0624096 −0.0312048 0.999513i \(-0.509934\pi\)
−0.0312048 + 0.999513i \(0.509934\pi\)
\(572\) −8926.52 + 15461.2i −0.652512 + 1.13018i
\(573\) −21114.9 661.398i −1.53942 0.0482204i
\(574\) 15075.9 + 8443.01i 1.09627 + 0.613945i
\(575\) 7865.89 0.570487
\(576\) −4116.09 258.117i −0.297750 0.0186716i
\(577\) −5390.01 + 9335.77i −0.388889 + 0.673576i −0.992300 0.123855i \(-0.960474\pi\)
0.603411 + 0.797430i \(0.293808\pi\)
\(578\) 8800.14 + 15242.3i 0.633283 + 1.09688i
\(579\) 6708.72 + 210.143i 0.481528 + 0.0150833i
\(580\) −4451.70 7710.57i −0.318701 0.552007i
\(581\) 199.209 + 15223.5i 0.0142248 + 1.08705i
\(582\) 456.455 736.355i 0.0325098 0.0524449i
\(583\) 311.462 0.0221260
\(584\) 1759.55 3047.64i 0.124676 0.215945i
\(585\) 26754.6 + 1677.76i 1.89088 + 0.118576i
\(586\) 3546.91 + 6143.43i 0.250037 + 0.433076i
\(587\) −3253.78 + 5635.71i −0.228787 + 0.396270i −0.957449 0.288603i \(-0.906809\pi\)
0.728662 + 0.684873i \(0.240143\pi\)
\(588\) 4915.49 8413.64i 0.344747 0.590089i
\(589\) 10165.6 + 17607.4i 0.711149 + 1.23175i
\(590\) −303.397 + 525.499i −0.0211706 + 0.0366686i
\(591\) −5460.87 171.055i −0.380085 0.0119057i
\(592\) 11846.5 + 20518.7i 0.822446 + 1.42452i
\(593\) 1577.16 + 2731.71i 0.109218 + 0.189170i 0.915454 0.402424i \(-0.131832\pi\)
−0.806236 + 0.591594i \(0.798499\pi\)
\(594\) −10421.2 22743.4i −0.719843 1.57100i
\(595\) −2582.30 1446.18i −0.177923 0.0996428i
\(596\) 6893.10 11939.2i 0.473746 0.820551i
\(597\) −7523.64 + 12137.2i −0.515782 + 0.832062i
\(598\) 20797.1 1.42217
\(599\) −13901.4 −0.948241 −0.474121 0.880460i \(-0.657234\pi\)
−0.474121 + 0.880460i \(0.657234\pi\)
\(600\) 2129.13 + 3969.84i 0.144869 + 0.270114i
\(601\) 11759.0 20367.2i 0.798103 1.38236i −0.122747 0.992438i \(-0.539170\pi\)
0.920850 0.389917i \(-0.127496\pi\)
\(602\) −73.4656 5614.21i −0.00497381 0.380097i
\(603\) −1547.44 97.0388i −0.104505 0.00655344i
\(604\) −5260.39 9111.26i −0.354375 0.613795i
\(605\) −7609.14 13179.4i −0.511331 0.885652i
\(606\) −8980.02 16743.5i −0.601961 1.12238i
\(607\) 11419.4 19779.0i 0.763591 1.32258i −0.177397 0.984139i \(-0.556768\pi\)
0.940988 0.338440i \(-0.109899\pi\)
\(608\) −14208.4 24609.7i −0.947742 1.64154i
\(609\) −193.348 + 10605.6i −0.0128651 + 0.705683i
\(610\) −7383.80 + 12789.1i −0.490100 + 0.848879i
\(611\) −1546.91 2679.33i −0.102425 0.177405i
\(612\) −883.349 + 1330.14i −0.0583452 + 0.0878556i
\(613\) −4081.47 + 7069.32i −0.268922 + 0.465786i −0.968584 0.248688i \(-0.920001\pi\)
0.699662 + 0.714474i \(0.253334\pi\)
\(614\) −20063.6 −1.31873
\(615\) −19507.7 611.054i −1.27906 0.0400652i
\(616\) 7297.66 + 4086.93i 0.477323 + 0.267317i
\(617\) −4664.01 8078.29i −0.304321 0.527099i 0.672789 0.739834i \(-0.265096\pi\)
−0.977110 + 0.212735i \(0.931763\pi\)
\(618\) −1079.47 + 1741.40i −0.0702629 + 0.113348i
\(619\) −11268.3 19517.3i −0.731683 1.26731i −0.956163 0.292834i \(-0.905402\pi\)
0.224480 0.974479i \(-0.427932\pi\)
\(620\) −6106.46 + 10576.7i −0.395551 + 0.685114i
\(621\) −6850.56 + 9645.94i −0.442679 + 0.623314i
\(622\) 9138.91 0.589127
\(623\) −403.304 225.864i −0.0259359 0.0145249i
\(624\) 12848.1 + 23955.7i 0.824256 + 1.53685i
\(625\) 9292.05 16094.3i 0.594691 1.03004i
\(626\) 34220.2 2.18485
\(627\) 17887.9 28856.8i 1.13935 1.83801i
\(628\) −11902.9 −0.756336
\(629\) 3292.11 0.208688
\(630\) −1342.62 + 27078.3i −0.0849066 + 1.71242i
\(631\) 23538.2 1.48501 0.742505 0.669841i \(-0.233638\pi\)
0.742505 + 0.669841i \(0.233638\pi\)
\(632\) 8775.15 0.552305
\(633\) −3488.35 6504.15i −0.219036 0.408399i
\(634\) −21411.9 −1.34129
\(635\) −11770.4 + 20386.9i −0.735579 + 1.27406i
\(636\) −95.9425 + 154.775i −0.00598171 + 0.00964971i
\(637\) −23042.5 + 603.155i −1.43324 + 0.0375163i
\(638\) 19655.0 1.21967
\(639\) 14044.3 + 880.708i 0.869460 + 0.0545231i
\(640\) −8347.86 + 14458.9i −0.515591 + 0.893030i
\(641\) 8286.30 + 14352.3i 0.510591 + 0.884370i 0.999925 + 0.0122733i \(0.00390682\pi\)
−0.489333 + 0.872097i \(0.662760\pi\)
\(642\) −3048.14 5683.36i −0.187384 0.349383i
\(643\) 6927.97 + 11999.6i 0.424903 + 0.735953i 0.996411 0.0846429i \(-0.0269749\pi\)
−0.571509 + 0.820596i \(0.693642\pi\)
\(644\) 111.727 + 8538.14i 0.00683643 + 0.522437i
\(645\) 2997.47 + 5588.88i 0.182985 + 0.341181i
\(646\) −5337.74 −0.325094
\(647\) 6854.14 11871.7i 0.416482 0.721368i −0.579101 0.815256i \(-0.696596\pi\)
0.995583 + 0.0938878i \(0.0299295\pi\)
\(648\) −6722.53 846.456i −0.407540 0.0513147i
\(649\) −271.908 470.958i −0.0164458 0.0284849i
\(650\) −11501.7 + 19921.6i −0.694055 + 1.20214i
\(651\) 12731.4 7044.24i 0.766488 0.424095i
\(652\) −337.360 584.324i −0.0202638 0.0350980i
\(653\) 8590.26 14878.8i 0.514798 0.891656i −0.485055 0.874484i \(-0.661200\pi\)
0.999853 0.0171720i \(-0.00546630\pi\)
\(654\) 6366.28 10270.1i 0.380644 0.614057i
\(655\) 1172.89 + 2031.51i 0.0699673 + 0.121187i
\(656\) −9895.67 17139.8i −0.588965 1.02012i
\(657\) −5655.55 + 8516.06i −0.335835 + 0.505698i
\(658\) 2689.05 1599.80i 0.159317 0.0947823i
\(659\) −14769.0 + 25580.7i −0.873018 + 1.51211i −0.0141586 + 0.999900i \(0.504507\pi\)
−0.858859 + 0.512212i \(0.828826\pi\)
\(660\) 20384.5 + 638.520i 1.20222 + 0.0376581i
\(661\) −4081.40 −0.240164 −0.120082 0.992764i \(-0.538316\pi\)
−0.120082 + 0.992764i \(0.538316\pi\)
\(662\) 36837.4 2.16273
\(663\) 3775.27 + 118.256i 0.221145 + 0.00692712i
\(664\) 3820.28 6616.92i 0.223276 0.386726i
\(665\) −31620.7 + 18812.1i −1.84391 + 1.09700i
\(666\) −13414.2 27008.9i −0.780467 1.57143i
\(667\) −4647.58 8049.85i −0.269798 0.467303i
\(668\) −9440.82 16352.0i −0.546821 0.947121i
\(669\) −12649.0 + 20405.3i −0.730997 + 1.17925i
\(670\) 1556.74 2696.36i 0.0897645 0.155477i
\(671\) −6617.44 11461.7i −0.380720 0.659427i
\(672\) −17794.6 + 9845.69i −1.02149 + 0.565187i
\(673\) 8519.48 14756.2i 0.487967 0.845183i −0.511937 0.859023i \(-0.671072\pi\)
0.999904 + 0.0138393i \(0.00440534\pi\)
\(674\) 269.322 + 466.480i 0.0153916 + 0.0266590i
\(675\) −5451.20 11896.8i −0.310840 0.678383i
\(676\) −6339.77 + 10980.8i −0.360706 + 0.624761i
\(677\) 13593.0 0.771672 0.385836 0.922567i \(-0.373913\pi\)
0.385836 + 0.922567i \(0.373913\pi\)
\(678\) 9971.95 + 18593.0i 0.564853 + 1.05319i
\(679\) −11.0098 841.363i −0.000622262 0.0475531i
\(680\) 742.658 + 1286.32i 0.0418818 + 0.0725414i
\(681\) −1601.55 2986.15i −0.0901198 0.168031i
\(682\) −13480.5 23348.9i −0.756885 1.31096i
\(683\) −11066.4 + 19167.6i −0.619976 + 1.07383i 0.369513 + 0.929225i \(0.379524\pi\)
−0.989489 + 0.144605i \(0.953809\pi\)
\(684\) 8829.63 + 17778.0i 0.493581 + 0.993802i
\(685\) −16173.5 −0.902130
\(686\) −914.875 23294.2i −0.0509185 1.29647i
\(687\) −12439.1 + 20066.8i −0.690803 + 1.11441i
\(688\) −3215.51 + 5569.43i −0.178184 + 0.308623i
\(689\) 430.761 0.0238181
\(690\) −11228.8 20936.6i −0.619529 1.15513i
\(691\) −11095.7 −0.610853 −0.305427 0.952216i \(-0.598799\pi\)
−0.305427 + 0.952216i \(0.598799\pi\)
\(692\) −9676.51 −0.531569
\(693\) −20414.9 13176.0i −1.11905 0.722243i
\(694\) 26175.9 1.43173
\(695\) 10392.4 0.567201
\(696\) 2804.68 4524.52i 0.152746 0.246410i
\(697\) −2749.98 −0.149444
\(698\) −12389.6 + 21459.4i −0.671852 + 1.16368i
\(699\) 2367.66 + 4414.58i 0.128116 + 0.238876i
\(700\) −8240.49 4614.95i −0.444945 0.249184i
\(701\) −21416.9 −1.15393 −0.576965 0.816769i \(-0.695763\pi\)
−0.576965 + 0.816769i \(0.695763\pi\)
\(702\) −14412.8 31454.7i −0.774894 1.69114i
\(703\) 20463.0 35443.0i 1.09783 1.90150i
\(704\) 3711.05 + 6427.73i 0.198673 + 0.344111i
\(705\) −1862.08 + 3003.92i −0.0994754 + 0.160474i
\(706\) −18992.9 32896.7i −1.01248 1.75366i
\(707\) −16100.2 9016.68i −0.856453 0.479642i
\(708\) 317.791 + 9.95442i 0.0168691 + 0.000528404i
\(709\) 13755.1 0.728610 0.364305 0.931280i \(-0.381307\pi\)
0.364305 + 0.931280i \(0.381307\pi\)
\(710\) −14128.7 + 24471.7i −0.746819 + 1.29353i
\(711\) −25441.7 1595.42i −1.34196 0.0841535i
\(712\) 115.988 + 200.898i 0.00610512 + 0.0105744i
\(713\) −6375.15 + 11042.1i −0.334855 + 0.579985i
\(714\) −69.6299 + 3819.38i −0.00364963 + 0.200191i
\(715\) −24121.8 41780.3i −1.26169 2.18531i
\(716\) 10886.1 18855.2i 0.568200 0.984151i
\(717\) −1080.24 2014.15i −0.0562656 0.104909i
\(718\) 12873.5 + 22297.5i 0.669128 + 1.15896i
\(719\) 4117.57 + 7131.84i 0.213574 + 0.369920i 0.952830 0.303503i \(-0.0981564\pi\)
−0.739257 + 0.673424i \(0.764823\pi\)
\(720\) 17179.4 25868.5i 0.889218 1.33898i
\(721\) 26.0369 + 1989.73i 0.00134489 + 0.102776i
\(722\) −20592.7 + 35667.6i −1.06147 + 1.83852i
\(723\) 15423.0 + 28756.6i 0.793342 + 1.47921i
\(724\) 24130.7 1.23869
\(725\) 10281.3 0.526673
\(726\) −10348.7 + 16694.6i −0.529033 + 0.853438i
\(727\) −11627.4 + 20139.3i −0.593174 + 1.02741i 0.400627 + 0.916241i \(0.368792\pi\)
−0.993802 + 0.111167i \(0.964541\pi\)
\(728\) 10092.9 + 5652.34i 0.513827 + 0.287760i
\(729\) 19336.6 + 3676.35i 0.982402 + 0.186778i
\(730\) −10264.2 17778.1i −0.520405 0.901368i
\(731\) 446.790 + 773.864i 0.0226062 + 0.0391551i
\(732\) 7734.10 + 242.262i 0.390520 + 0.0122326i
\(733\) 13121.6 22727.4i 0.661199 1.14523i −0.319102 0.947720i \(-0.603381\pi\)
0.980301 0.197510i \(-0.0632855\pi\)
\(734\) 17865.1 + 30943.2i 0.898380 + 1.55604i
\(735\) 13048.4 + 22871.3i 0.654825 + 1.14779i
\(736\) 8910.51 15433.5i 0.446258 0.772941i
\(737\) 1395.17 + 2416.50i 0.0697309 + 0.120778i
\(738\) 11205.2 + 22561.2i 0.558903 + 1.12532i
\(739\) −2483.59 + 4301.70i −0.123627 + 0.214128i −0.921195 0.389100i \(-0.872786\pi\)
0.797568 + 0.603228i \(0.206119\pi\)
\(740\) 24584.2 1.22126
\(741\) 24739.4 39909.8i 1.22649 1.97857i
\(742\) 5.70030 + 435.615i 0.000282028 + 0.0215524i
\(743\) −1432.63 2481.40i −0.0707379 0.122522i 0.828487 0.560008i \(-0.189202\pi\)
−0.899225 + 0.437487i \(0.855869\pi\)
\(744\) −7298.47 228.616i −0.359644 0.0112654i
\(745\) 18627.0 + 32262.9i 0.916027 + 1.58661i
\(746\) 4226.56 7320.61i 0.207433 0.359285i
\(747\) −12279.1 + 18489.8i −0.601431 + 0.905629i
\(748\) 2873.58 0.140466
\(749\) −5465.00 3060.58i −0.266604 0.149307i
\(750\) −8933.11 279.819i −0.434921 0.0136234i
\(751\) −3196.62 + 5536.71i −0.155321 + 0.269025i −0.933176 0.359420i \(-0.882975\pi\)
0.777855 + 0.628444i \(0.216308\pi\)
\(752\) −3583.88 −0.173791
\(753\) 11751.6 + 368.104i 0.568727 + 0.0178147i
\(754\) 27183.4 1.31294
\(755\) 28430.0 1.37043
\(756\) 12836.1 6086.07i 0.617520 0.292788i
\(757\) 20110.5 0.965558 0.482779 0.875742i \(-0.339628\pi\)
0.482779 + 0.875742i \(0.339628\pi\)
\(758\) −41594.7 −1.99313
\(759\) 21281.4 + 666.616i 1.01774 + 0.0318796i
\(760\) 18464.8 0.881301
\(761\) 3367.40 5832.51i 0.160405 0.277830i −0.774609 0.632440i \(-0.782053\pi\)
0.935014 + 0.354611i \(0.115387\pi\)
\(762\) 30368.7 + 951.264i 1.44376 + 0.0452239i
\(763\) −153.556 11734.7i −0.00728583 0.556780i
\(764\) −22227.7 −1.05258
\(765\) −1919.31 3864.44i −0.0907095 0.182639i
\(766\) −22556.1 + 39068.3i −1.06395 + 1.84281i
\(767\) −376.056 651.347i −0.0177035 0.0306634i
\(768\) 27884.8 + 873.458i 1.31016 + 0.0410393i
\(769\) 16586.6 + 28728.8i 0.777799 + 1.34719i 0.933208 + 0.359338i \(0.116997\pi\)
−0.155408 + 0.987850i \(0.549669\pi\)
\(770\) 41931.8 24946.5i 1.96249 1.16755i
\(771\) 13281.3 21425.5i 0.620384 1.00081i
\(772\) 7062.29 0.329245
\(773\) −15610.5 + 27038.2i −0.726353 + 1.25808i 0.232061 + 0.972701i