Properties

Label 731.2.k.a.35.9
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.9
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.370259 + 1.62221i) q^{2} +(-0.724410 - 3.17385i) q^{3} +(-0.692544 - 0.333512i) q^{4} +(-2.53002 + 3.17255i) q^{5} +5.41688 q^{6} -2.21279 q^{7} +(-1.27744 + 1.60186i) q^{8} +(-6.84564 + 3.29669i) q^{9} +O(q^{10})\) \(q+(-0.370259 + 1.62221i) q^{2} +(-0.724410 - 3.17385i) q^{3} +(-0.692544 - 0.333512i) q^{4} +(-2.53002 + 3.17255i) q^{5} +5.41688 q^{6} -2.21279 q^{7} +(-1.27744 + 1.60186i) q^{8} +(-6.84564 + 3.29669i) q^{9} +(-4.20978 - 5.27890i) q^{10} +(2.88829 - 1.39093i) q^{11} +(-0.556829 + 2.43963i) q^{12} +(3.72824 - 4.67506i) q^{13} +(0.819307 - 3.58962i) q^{14} +(11.9020 + 5.73168i) q^{15} +(-3.08408 - 3.86732i) q^{16} +(0.623490 + 0.781831i) q^{17} +(-2.81326 - 12.3257i) q^{18} +(1.54040 + 0.741820i) q^{19} +(2.81023 - 1.35334i) q^{20} +(1.60297 + 7.02307i) q^{21} +(1.18696 + 5.20042i) q^{22} +(1.21579 - 0.585492i) q^{23} +(6.00945 + 2.89400i) q^{24} +(-2.55144 - 11.1786i) q^{25} +(6.20353 + 7.77898i) q^{26} +(9.33298 + 11.7032i) q^{27} +(1.53246 + 0.737992i) q^{28} +(0.385590 - 1.68938i) q^{29} +(-13.7048 + 17.1853i) q^{30} +(0.692887 - 3.03573i) q^{31} +(3.72361 - 1.79320i) q^{32} +(-6.50689 - 8.15939i) q^{33} +(-1.49915 + 0.721953i) q^{34} +(5.59841 - 7.02019i) q^{35} +5.84039 q^{36} +0.711360 q^{37} +(-1.77374 + 2.22420i) q^{38} +(-17.5387 - 8.44620i) q^{39} +(-1.85002 - 8.10547i) q^{40} +(2.06026 - 9.02661i) q^{41} -11.9864 q^{42} +(6.16984 + 2.22105i) q^{43} -2.46416 q^{44} +(6.86072 - 30.0588i) q^{45} +(0.499636 + 2.18905i) q^{46} +(8.97799 + 4.32357i) q^{47} +(-10.0401 + 12.5899i) q^{48} -2.10355 q^{49} +19.0787 q^{50} +(2.02975 - 2.54523i) q^{51} +(-4.14115 + 1.99427i) q^{52} +(6.84949 + 8.58899i) q^{53} +(-22.4407 + 10.8069i) q^{54} +(-2.89465 + 12.6823i) q^{55} +(2.82671 - 3.54458i) q^{56} +(1.23854 - 5.42639i) q^{57} +(2.59777 + 1.25102i) q^{58} +(-5.95249 - 7.46419i) q^{59} +(-6.33104 - 7.93888i) q^{60} +(-2.83887 - 12.4379i) q^{61} +(4.66806 + 2.24802i) q^{62} +(15.1480 - 7.29488i) q^{63} +(-0.671148 - 2.94049i) q^{64} +(5.39933 + 23.6560i) q^{65} +(15.6455 - 7.53448i) q^{66} +(0.820560 + 0.395161i) q^{67} +(-0.171044 - 0.749394i) q^{68} +(-2.73899 - 3.43459i) q^{69} +(9.31537 + 11.6811i) q^{70} +(-6.56000 - 3.15913i) q^{71} +(3.46407 - 15.1771i) q^{72} +(7.39799 - 9.27679i) q^{73} +(-0.263388 + 1.15398i) q^{74} +(-33.6308 + 16.1957i) q^{75} +(-0.819392 - 1.02749i) q^{76} +(-6.39118 + 3.07783i) q^{77} +(20.1954 - 25.3242i) q^{78} -1.38785 q^{79} +20.0720 q^{80} +(16.1712 - 20.2781i) q^{81} +(13.8802 + 6.68437i) q^{82} +(0.527616 + 2.31164i) q^{83} +(1.23215 - 5.39839i) q^{84} -4.05784 q^{85} +(-5.88746 + 9.18643i) q^{86} -5.64117 q^{87} +(-1.46155 + 6.40346i) q^{88} +(-0.503985 - 2.20810i) q^{89} +(46.2215 + 22.2591i) q^{90} +(-8.24981 + 10.3449i) q^{91} -1.03725 q^{92} -10.1369 q^{93} +(-10.3379 + 12.9634i) q^{94} +(-6.25071 + 3.01018i) q^{95} +(-8.38876 - 10.5192i) q^{96} +(-7.05223 + 3.39618i) q^{97} +(0.778859 - 3.41240i) q^{98} +(-15.1867 + 19.0436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.370259 + 1.62221i −0.261813 + 1.14708i 0.657470 + 0.753481i \(0.271627\pi\)
−0.919283 + 0.393597i \(0.871231\pi\)
\(3\) −0.724410 3.17385i −0.418238 1.83242i −0.542348 0.840154i \(-0.682465\pi\)
0.124110 0.992269i \(-0.460393\pi\)
\(4\) −0.692544 0.333512i −0.346272 0.166756i
\(5\) −2.53002 + 3.17255i −1.13146 + 1.41881i −0.237084 + 0.971489i \(0.576192\pi\)
−0.894376 + 0.447316i \(0.852380\pi\)
\(6\) 5.41688 2.21143
\(7\) −2.21279 −0.836357 −0.418178 0.908365i \(-0.637331\pi\)
−0.418178 + 0.908365i \(0.637331\pi\)
\(8\) −1.27744 + 1.60186i −0.451643 + 0.566343i
\(9\) −6.84564 + 3.29669i −2.28188 + 1.09890i
\(10\) −4.20978 5.27890i −1.33125 1.66933i
\(11\) 2.88829 1.39093i 0.870852 0.419380i 0.0555769 0.998454i \(-0.482300\pi\)
0.815275 + 0.579074i \(0.196586\pi\)
\(12\) −0.556829 + 2.43963i −0.160743 + 0.704260i
\(13\) 3.72824 4.67506i 1.03403 1.29663i 0.0800360 0.996792i \(-0.474496\pi\)
0.953991 0.299836i \(-0.0969321\pi\)
\(14\) 0.819307 3.58962i 0.218969 0.959366i
\(15\) 11.9020 + 5.73168i 3.07307 + 1.47991i
\(16\) −3.08408 3.86732i −0.771021 0.966829i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) −2.81326 12.3257i −0.663092 2.90520i
\(19\) 1.54040 + 0.741820i 0.353393 + 0.170185i 0.602154 0.798380i \(-0.294309\pi\)
−0.248761 + 0.968565i \(0.580023\pi\)
\(20\) 2.81023 1.35334i 0.628387 0.302615i
\(21\) 1.60297 + 7.02307i 0.349797 + 1.53256i
\(22\) 1.18696 + 5.20042i 0.253061 + 1.10873i
\(23\) 1.21579 0.585492i 0.253509 0.122084i −0.302814 0.953050i \(-0.597926\pi\)
0.556323 + 0.830966i \(0.312212\pi\)
\(24\) 6.00945 + 2.89400i 1.22667 + 0.590735i
\(25\) −2.55144 11.1786i −0.510287 2.23571i
\(26\) 6.20353 + 7.77898i 1.21661 + 1.52558i
\(27\) 9.33298 + 11.7032i 1.79613 + 2.25228i
\(28\) 1.53246 + 0.737992i 0.289607 + 0.139467i
\(29\) 0.385590 1.68938i 0.0716023 0.313710i −0.926426 0.376477i \(-0.877135\pi\)
0.998028 + 0.0627669i \(0.0199925\pi\)
\(30\) −13.7048 + 17.1853i −2.50214 + 3.13759i
\(31\) 0.692887 3.03573i 0.124446 0.545234i −0.873814 0.486261i \(-0.838360\pi\)
0.998260 0.0589727i \(-0.0187825\pi\)
\(32\) 3.72361 1.79320i 0.658248 0.316995i
\(33\) −6.50689 8.15939i −1.13270 1.42037i
\(34\) −1.49915 + 0.721953i −0.257102 + 0.123814i
\(35\) 5.59841 7.02019i 0.946304 1.18663i
\(36\) 5.84039 0.973398
\(37\) 0.711360 0.116947 0.0584734 0.998289i \(-0.481377\pi\)
0.0584734 + 0.998289i \(0.481377\pi\)
\(38\) −1.77374 + 2.22420i −0.287738 + 0.360813i
\(39\) −17.5387 8.44620i −2.80844 1.35247i
\(40\) −1.85002 8.10547i −0.292514 1.28159i
\(41\) 2.06026 9.02661i 0.321759 1.40972i −0.512661 0.858591i \(-0.671340\pi\)
0.834421 0.551128i \(-0.185802\pi\)
\(42\) −11.9864 −1.84955
\(43\) 6.16984 + 2.22105i 0.940892 + 0.338707i
\(44\) −2.46416 −0.371486
\(45\) 6.86072 30.0588i 1.02274 4.48090i
\(46\) 0.499636 + 2.18905i 0.0736673 + 0.322758i
\(47\) 8.97799 + 4.32357i 1.30957 + 0.630658i 0.952819 0.303540i \(-0.0981685\pi\)
0.356756 + 0.934198i \(0.383883\pi\)
\(48\) −10.0401 + 12.5899i −1.44917 + 1.81720i
\(49\) −2.10355 −0.300507
\(50\) 19.0787 2.69814
\(51\) 2.02975 2.54523i 0.284222 0.356403i
\(52\) −4.14115 + 1.99427i −0.574275 + 0.276556i
\(53\) 6.84949 + 8.58899i 0.940850 + 1.17979i 0.983538 + 0.180700i \(0.0578364\pi\)
−0.0426880 + 0.999088i \(0.513592\pi\)
\(54\) −22.4407 + 10.8069i −3.05379 + 1.47063i
\(55\) −2.89465 + 12.6823i −0.390315 + 1.71008i
\(56\) 2.82671 3.54458i 0.377735 0.473665i
\(57\) 1.23854 5.42639i 0.164048 0.718743i
\(58\) 2.59777 + 1.25102i 0.341104 + 0.164267i
\(59\) −5.95249 7.46419i −0.774949 0.971755i 0.225048 0.974348i \(-0.427746\pi\)
−0.999997 + 0.00259265i \(0.999175\pi\)
\(60\) −6.33104 7.93888i −0.817334 1.02490i
\(61\) −2.83887 12.4379i −0.363480 1.59251i −0.744291 0.667856i \(-0.767212\pi\)
0.380811 0.924653i \(-0.375645\pi\)
\(62\) 4.66806 + 2.24802i 0.592844 + 0.285499i
\(63\) 15.1480 7.29488i 1.90847 0.919069i
\(64\) −0.671148 2.94049i −0.0838935 0.367562i
\(65\) 5.39933 + 23.6560i 0.669704 + 2.93417i
\(66\) 15.6455 7.53448i 1.92583 0.927430i
\(67\) 0.820560 + 0.395161i 0.100247 + 0.0482766i 0.483335 0.875435i \(-0.339425\pi\)
−0.383088 + 0.923712i \(0.625139\pi\)
\(68\) −0.171044 0.749394i −0.0207422 0.0908773i
\(69\) −2.73899 3.43459i −0.329736 0.413476i
\(70\) 9.31537 + 11.6811i 1.11340 + 1.39616i
\(71\) −6.56000 3.15913i −0.778528 0.374919i 0.00203360 0.999998i \(-0.499353\pi\)
−0.780562 + 0.625078i \(0.785067\pi\)
\(72\) 3.46407 15.1771i 0.408244 1.78863i
\(73\) 7.39799 9.27679i 0.865870 1.08577i −0.129682 0.991556i \(-0.541396\pi\)
0.995552 0.0942108i \(-0.0300328\pi\)
\(74\) −0.263388 + 1.15398i −0.0306182 + 0.134147i
\(75\) −33.6308 + 16.1957i −3.88335 + 1.87012i
\(76\) −0.819392 1.02749i −0.0939908 0.117861i
\(77\) −6.39118 + 3.07783i −0.728343 + 0.350751i
\(78\) 20.1954 25.3242i 2.28668 2.86740i
\(79\) −1.38785 −0.156146 −0.0780729 0.996948i \(-0.524877\pi\)
−0.0780729 + 0.996948i \(0.524877\pi\)
\(80\) 20.0720 2.24412
\(81\) 16.1712 20.2781i 1.79680 2.25312i
\(82\) 13.8802 + 6.68437i 1.53282 + 0.738165i
\(83\) 0.527616 + 2.31164i 0.0579134 + 0.253735i 0.995595 0.0937613i \(-0.0298891\pi\)
−0.937681 + 0.347496i \(0.887032\pi\)
\(84\) 1.23215 5.39839i 0.134438 0.589013i
\(85\) −4.05784 −0.440134
\(86\) −5.88746 + 9.18643i −0.634861 + 0.990598i
\(87\) −5.64117 −0.604797
\(88\) −1.46155 + 6.40346i −0.155801 + 0.682611i
\(89\) −0.503985 2.20810i −0.0534223 0.234058i 0.941167 0.337941i \(-0.109730\pi\)
−0.994590 + 0.103883i \(0.966873\pi\)
\(90\) 46.2215 + 22.2591i 4.87217 + 2.34632i
\(91\) −8.24981 + 10.3449i −0.864815 + 1.08444i
\(92\) −1.03725 −0.108141
\(93\) −10.1369 −1.05115
\(94\) −10.3379 + 12.9634i −1.06628 + 1.33707i
\(95\) −6.25071 + 3.01018i −0.641310 + 0.308838i
\(96\) −8.38876 10.5192i −0.856174 1.07361i
\(97\) −7.05223 + 3.39618i −0.716046 + 0.344830i −0.756179 0.654365i \(-0.772936\pi\)
0.0401331 + 0.999194i \(0.487222\pi\)
\(98\) 0.778859 3.41240i 0.0786766 0.344705i
\(99\) −15.1867 + 19.0436i −1.52632 + 1.91395i
\(100\) −1.96120 + 8.59259i −0.196120 + 0.859259i
\(101\) 6.12584 + 2.95005i 0.609544 + 0.293541i 0.713078 0.701085i \(-0.247301\pi\)
−0.103534 + 0.994626i \(0.533015\pi\)
\(102\) 3.37737 + 4.23509i 0.334409 + 0.419336i
\(103\) 2.46560 + 3.09177i 0.242943 + 0.304641i 0.888321 0.459222i \(-0.151872\pi\)
−0.645379 + 0.763863i \(0.723300\pi\)
\(104\) 2.72619 + 11.9442i 0.267325 + 1.17123i
\(105\) −26.3366 12.6830i −2.57018 1.23774i
\(106\) −16.4693 + 7.93118i −1.59964 + 0.770344i
\(107\) −1.60848 7.04719i −0.155497 0.681278i −0.991231 0.132142i \(-0.957814\pi\)
0.835734 0.549135i \(-0.185043\pi\)
\(108\) −2.56035 11.2176i −0.246370 1.07942i
\(109\) 2.98502 1.43751i 0.285913 0.137688i −0.285431 0.958399i \(-0.592137\pi\)
0.571344 + 0.820711i \(0.306422\pi\)
\(110\) −19.5016 9.39148i −1.85941 0.895443i
\(111\) −0.515317 2.25775i −0.0489117 0.214296i
\(112\) 6.82443 + 8.55757i 0.644848 + 0.808614i
\(113\) −2.89279 3.62745i −0.272131 0.341242i 0.626921 0.779083i \(-0.284315\pi\)
−0.899052 + 0.437841i \(0.855743\pi\)
\(114\) 8.34418 + 4.01835i 0.781504 + 0.376353i
\(115\) −1.21847 + 5.33845i −0.113623 + 0.497813i
\(116\) −0.830466 + 1.04137i −0.0771069 + 0.0966890i
\(117\) −10.1100 + 44.2946i −0.934665 + 4.09504i
\(118\) 14.3125 6.89252i 1.31757 0.634508i
\(119\) −1.37965 1.73003i −0.126473 0.158592i
\(120\) −24.3854 + 11.7434i −2.22607 + 1.07202i
\(121\) −0.450857 + 0.565356i −0.0409870 + 0.0513960i
\(122\) 21.2280 1.92189
\(123\) −30.1416 −2.71777
\(124\) −1.49231 + 1.87129i −0.134013 + 0.168047i
\(125\) 23.6398 + 11.3843i 2.11441 + 1.01825i
\(126\) 6.22517 + 27.2742i 0.554582 + 2.42978i
\(127\) −2.83599 + 12.4253i −0.251653 + 1.10256i 0.678271 + 0.734812i \(0.262730\pi\)
−0.929924 + 0.367752i \(0.880127\pi\)
\(128\) 13.2844 1.17419
\(129\) 2.57978 21.1911i 0.227137 1.86577i
\(130\) −40.3742 −3.54105
\(131\) −2.49671 + 10.9388i −0.218138 + 0.955727i 0.740714 + 0.671821i \(0.234488\pi\)
−0.958852 + 0.283906i \(0.908370\pi\)
\(132\) 1.78506 + 7.82086i 0.155370 + 0.680718i
\(133\) −3.40860 1.64149i −0.295563 0.142336i
\(134\) −0.944855 + 1.18481i −0.0816230 + 0.102352i
\(135\) −60.7415 −5.22780
\(136\) −2.04885 −0.175688
\(137\) −3.17639 + 3.98306i −0.271377 + 0.340296i −0.898781 0.438398i \(-0.855546\pi\)
0.627404 + 0.778694i \(0.284117\pi\)
\(138\) 6.58577 3.17154i 0.560618 0.269979i
\(139\) 6.09586 + 7.64397i 0.517044 + 0.648353i 0.969978 0.243191i \(-0.0781942\pi\)
−0.452934 + 0.891544i \(0.649623\pi\)
\(140\) −6.21846 + 2.99465i −0.525556 + 0.253094i
\(141\) 7.21862 31.6268i 0.607917 2.66346i
\(142\) 7.55368 9.47201i 0.633891 0.794874i
\(143\) 4.26556 18.6886i 0.356704 1.56282i
\(144\) 33.8618 + 16.3070i 2.82182 + 1.35892i
\(145\) 4.38409 + 5.49747i 0.364079 + 0.456540i
\(146\) 12.3098 + 15.4359i 1.01876 + 1.27749i
\(147\) 1.52383 + 6.67635i 0.125684 + 0.550656i
\(148\) −0.492648 0.237247i −0.0404954 0.0195016i
\(149\) 9.01433 4.34107i 0.738483 0.355635i −0.0265314 0.999648i \(-0.508446\pi\)
0.765014 + 0.644013i \(0.222732\pi\)
\(150\) −13.8208 60.5530i −1.12847 4.94413i
\(151\) −2.85747 12.5194i −0.232537 1.01881i −0.947526 0.319677i \(-0.896426\pi\)
0.714989 0.699136i \(-0.246432\pi\)
\(152\) −3.15607 + 1.51988i −0.255991 + 0.123279i
\(153\) −6.84564 3.29669i −0.553437 0.266521i
\(154\) −2.62650 11.5075i −0.211649 0.927297i
\(155\) 7.87799 + 9.87868i 0.632775 + 0.793475i
\(156\) 9.32942 + 11.6987i 0.746951 + 0.936648i
\(157\) 10.0464 + 4.83809i 0.801790 + 0.386122i 0.789460 0.613802i \(-0.210361\pi\)
0.0123305 + 0.999924i \(0.496075\pi\)
\(158\) 0.513866 2.25140i 0.0408810 0.179111i
\(159\) 22.2983 27.9612i 1.76837 2.21747i
\(160\) −3.73182 + 16.3502i −0.295026 + 1.29259i
\(161\) −2.69028 + 1.29557i −0.212024 + 0.102105i
\(162\) 26.9078 + 33.7413i 2.11408 + 2.65097i
\(163\) 7.37401 3.55113i 0.577577 0.278146i −0.122203 0.992505i \(-0.538996\pi\)
0.699780 + 0.714359i \(0.253282\pi\)
\(164\) −4.43730 + 5.56420i −0.346495 + 0.434491i
\(165\) 42.3486 3.29683
\(166\) −3.94532 −0.306216
\(167\) 15.4324 19.3516i 1.19419 1.49747i 0.372030 0.928221i \(-0.378662\pi\)
0.822164 0.569251i \(-0.192767\pi\)
\(168\) −13.2977 6.40382i −1.02594 0.494065i
\(169\) −5.06367 22.1854i −0.389513 1.70657i
\(170\) 1.50245 6.58268i 0.115233 0.504868i
\(171\) −12.9906 −0.993416
\(172\) −3.53214 3.59589i −0.269323 0.274184i
\(173\) −2.68203 −0.203911 −0.101955 0.994789i \(-0.532510\pi\)
−0.101955 + 0.994789i \(0.532510\pi\)
\(174\) 2.08870 9.15117i 0.158344 0.693749i
\(175\) 5.64580 + 24.7359i 0.426782 + 1.86986i
\(176\) −14.2869 6.88019i −1.07691 0.518614i
\(177\) −19.3782 + 24.2995i −1.45655 + 1.82646i
\(178\) 3.76861 0.282470
\(179\) −12.9895 −0.970881 −0.485440 0.874270i \(-0.661341\pi\)
−0.485440 + 0.874270i \(0.661341\pi\)
\(180\) −14.7763 + 18.5289i −1.10136 + 1.38106i
\(181\) 4.01626 1.93413i 0.298527 0.143763i −0.278625 0.960400i \(-0.589879\pi\)
0.577151 + 0.816637i \(0.304164\pi\)
\(182\) −13.7271 17.2133i −1.01752 1.27593i
\(183\) −37.4195 + 18.0203i −2.76613 + 1.33210i
\(184\) −0.615219 + 2.69545i −0.0453546 + 0.198711i
\(185\) −1.79976 + 2.25682i −0.132321 + 0.165925i
\(186\) 3.75328 16.4442i 0.275204 1.20575i
\(187\) 2.88829 + 1.39093i 0.211213 + 0.101715i
\(188\) −4.77569 5.98853i −0.348303 0.436758i
\(189\) −20.6519 25.8967i −1.50221 1.88371i
\(190\) −2.56877 11.2545i −0.186358 0.816490i
\(191\) 9.69250 + 4.66766i 0.701325 + 0.337740i 0.750335 0.661058i \(-0.229892\pi\)
−0.0490101 + 0.998798i \(0.515607\pi\)
\(192\) −8.84649 + 4.26025i −0.638440 + 0.307457i
\(193\) −0.929207 4.07112i −0.0668858 0.293046i 0.930412 0.366516i \(-0.119450\pi\)
−0.997297 + 0.0734706i \(0.976592\pi\)
\(194\) −2.89816 12.6977i −0.208076 0.911641i
\(195\) 71.1692 34.2733i 5.09653 2.45436i
\(196\) 1.45680 + 0.701558i 0.104057 + 0.0501113i
\(197\) −2.47020 10.8226i −0.175994 0.771082i −0.983454 0.181159i \(-0.942015\pi\)
0.807460 0.589923i \(-0.200842\pi\)
\(198\) −25.2697 31.6872i −1.79584 2.25191i
\(199\) 12.2005 + 15.2989i 0.864869 + 1.08451i 0.995657 + 0.0931012i \(0.0296780\pi\)
−0.130787 + 0.991410i \(0.541751\pi\)
\(200\) 21.1658 + 10.1929i 1.49665 + 0.720748i
\(201\) 0.659758 2.89059i 0.0465358 0.203887i
\(202\) −7.05376 + 8.84513i −0.496301 + 0.622341i
\(203\) −0.853231 + 3.73825i −0.0598851 + 0.262374i
\(204\) −2.25456 + 1.08574i −0.157851 + 0.0760168i
\(205\) 23.4248 + 29.3738i 1.63606 + 2.05155i
\(206\) −5.92841 + 2.85497i −0.413052 + 0.198915i
\(207\) −6.39266 + 8.01614i −0.444320 + 0.557160i
\(208\) −29.5781 −2.05087
\(209\) 5.48095 0.379125
\(210\) 30.3259 38.0275i 2.09269 2.62415i
\(211\) −16.9706 8.17260i −1.16830 0.562625i −0.253821 0.967251i \(-0.581687\pi\)
−0.914482 + 0.404626i \(0.867402\pi\)
\(212\) −1.87905 8.23264i −0.129053 0.565420i
\(213\) −5.27446 + 23.1089i −0.361400 + 1.58340i
\(214\) 12.0276 0.822189
\(215\) −22.6562 + 13.9548i −1.54514 + 0.951709i
\(216\) −30.6692 −2.08677
\(217\) −1.53321 + 6.71745i −0.104081 + 0.456010i
\(218\) 1.22671 + 5.37458i 0.0830835 + 0.364013i
\(219\) −34.8023 16.7599i −2.35172 1.13253i
\(220\) 6.23437 7.81765i 0.420321 0.527066i
\(221\) 5.97963 0.402233
\(222\) 3.85335 0.258620
\(223\) 16.7458 20.9986i 1.12138 1.40617i 0.218736 0.975784i \(-0.429807\pi\)
0.902646 0.430384i \(-0.141622\pi\)
\(224\) −8.23958 + 3.96797i −0.550530 + 0.265121i
\(225\) 54.3185 + 68.1132i 3.62123 + 4.54088i
\(226\) 6.95557 3.34963i 0.462678 0.222814i
\(227\) −3.43409 + 15.0457i −0.227928 + 0.998620i 0.723397 + 0.690432i \(0.242580\pi\)
−0.951326 + 0.308188i \(0.900278\pi\)
\(228\) −2.66751 + 3.34495i −0.176660 + 0.221525i
\(229\) 2.49048 10.9115i 0.164576 0.721053i −0.823530 0.567273i \(-0.807998\pi\)
0.988105 0.153779i \(-0.0491445\pi\)
\(230\) −8.20895 3.95322i −0.541282 0.260668i
\(231\) 14.3984 + 18.0550i 0.947346 + 1.18793i
\(232\) 2.21358 + 2.77575i 0.145329 + 0.182237i
\(233\) −6.07268 26.6061i −0.397834 1.74303i −0.635895 0.771776i \(-0.719369\pi\)
0.238060 0.971250i \(-0.423488\pi\)
\(234\) −68.1120 32.8010i −4.45262 2.14427i
\(235\) −36.4312 + 17.5444i −2.37651 + 1.14447i
\(236\) 1.63297 + 7.15451i 0.106297 + 0.465719i
\(237\) 1.00538 + 4.40484i 0.0653062 + 0.286125i
\(238\) 3.31731 1.59753i 0.215029 0.103553i
\(239\) −0.858071 0.413225i −0.0555040 0.0267293i 0.405926 0.913906i \(-0.366949\pi\)
−0.461430 + 0.887177i \(0.652663\pi\)
\(240\) −14.5404 63.7056i −0.938578 4.11218i
\(241\) −10.9859 13.7759i −0.707664 0.887382i 0.289906 0.957055i \(-0.406376\pi\)
−0.997570 + 0.0696730i \(0.977804\pi\)
\(242\) −0.750194 0.940714i −0.0482243 0.0604714i
\(243\) −35.6146 17.1511i −2.28468 1.10024i
\(244\) −2.18214 + 9.56058i −0.139697 + 0.612054i
\(245\) 5.32202 6.67361i 0.340012 0.426361i
\(246\) 11.1602 48.8960i 0.711548 3.11750i
\(247\) 9.21104 4.43581i 0.586085 0.282244i
\(248\) 3.97770 + 4.98788i 0.252584 + 0.316730i
\(249\) 6.95457 3.34915i 0.440728 0.212244i
\(250\) −27.2207 + 34.1336i −1.72159 + 2.15880i
\(251\) −8.80409 −0.555709 −0.277855 0.960623i \(-0.589623\pi\)
−0.277855 + 0.960623i \(0.589623\pi\)
\(252\) −12.9236 −0.814108
\(253\) 2.69717 3.38214i 0.169569 0.212633i
\(254\) −19.1064 9.20115i −1.19884 0.577331i
\(255\) 2.93954 + 12.8790i 0.184081 + 0.806512i
\(256\) −3.57638 + 15.6691i −0.223524 + 0.979321i
\(257\) 2.49001 0.155322 0.0776612 0.996980i \(-0.475255\pi\)
0.0776612 + 0.996980i \(0.475255\pi\)
\(258\) 33.4213 + 12.0312i 2.08072 + 0.749027i
\(259\) −1.57409 −0.0978093
\(260\) 4.15028 18.1836i 0.257389 1.12770i
\(261\) 2.92975 + 12.8361i 0.181347 + 0.794532i
\(262\) −16.8206 8.10038i −1.03918 0.500443i
\(263\) −5.96565 + 7.48069i −0.367858 + 0.461279i −0.930967 0.365103i \(-0.881034\pi\)
0.563109 + 0.826383i \(0.309605\pi\)
\(264\) 21.3824 1.31599
\(265\) −44.5783 −2.73843
\(266\) 3.92492 4.92169i 0.240652 0.301768i
\(267\) −6.64309 + 3.19914i −0.406550 + 0.195784i
\(268\) −0.436483 0.547332i −0.0266624 0.0334336i
\(269\) −0.296614 + 0.142842i −0.0180849 + 0.00870922i −0.442904 0.896569i \(-0.646052\pi\)
0.424819 + 0.905278i \(0.360338\pi\)
\(270\) 22.4901 98.5356i 1.36870 5.99669i
\(271\) 1.82530 2.28885i 0.110879 0.139038i −0.723295 0.690539i \(-0.757373\pi\)
0.834174 + 0.551501i \(0.185945\pi\)
\(272\) 1.10070 4.82247i 0.0667395 0.292405i
\(273\) 38.8095 + 18.6897i 2.34886 + 1.13115i
\(274\) −5.28529 6.62754i −0.319296 0.400384i
\(275\) −22.9179 28.7381i −1.38200 1.73297i
\(276\) 0.751398 + 3.29209i 0.0452288 + 0.198160i
\(277\) −21.2374 10.2274i −1.27603 0.614503i −0.331663 0.943398i \(-0.607610\pi\)
−0.944367 + 0.328895i \(0.893324\pi\)
\(278\) −14.6572 + 7.05853i −0.879080 + 0.423343i
\(279\) 5.26461 + 23.0658i 0.315184 + 1.38091i
\(280\) 4.09371 + 17.9357i 0.244646 + 1.07187i
\(281\) −6.67982 + 3.21683i −0.398485 + 0.191900i −0.622384 0.782712i \(-0.713836\pi\)
0.223899 + 0.974612i \(0.428121\pi\)
\(282\) 48.6327 + 23.4203i 2.89603 + 1.39466i
\(283\) −1.73895 7.61883i −0.103370 0.452892i −0.999950 0.0100109i \(-0.996813\pi\)
0.896580 0.442882i \(-0.146044\pi\)
\(284\) 3.48948 + 4.37567i 0.207063 + 0.259648i
\(285\) 14.0820 + 17.6582i 0.834143 + 1.04598i
\(286\) 28.7376 + 13.8393i 1.69929 + 0.818334i
\(287\) −4.55894 + 19.9740i −0.269106 + 1.17903i
\(288\) −19.5789 + 24.5512i −1.15370 + 1.44669i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) −10.5413 + 5.07643i −0.619008 + 0.298098i
\(291\) 15.8877 + 19.9225i 0.931351 + 1.16788i
\(292\) −8.21735 + 3.95727i −0.480884 + 0.231582i
\(293\) 7.56801 9.48998i 0.442128 0.554411i −0.509975 0.860189i \(-0.670345\pi\)
0.952103 + 0.305779i \(0.0989168\pi\)
\(294\) −11.3947 −0.664551
\(295\) 38.7404 2.25555
\(296\) −0.908720 + 1.13950i −0.0528183 + 0.0662320i
\(297\) 43.2346 + 20.8207i 2.50873 + 1.20814i
\(298\) 3.70450 + 16.2305i 0.214596 + 0.940207i
\(299\) 1.79553 7.86673i 0.103838 0.454945i
\(300\) 28.6923 1.65655
\(301\) −13.6526 4.91472i −0.786921 0.283280i
\(302\) 21.3671 1.22954
\(303\) 4.92539 21.5795i 0.282956 1.23971i
\(304\) −1.88188 8.24507i −0.107933 0.472887i
\(305\) 46.6422 + 22.4617i 2.67072 + 1.28615i
\(306\) 7.88259 9.88445i 0.450618 0.565057i
\(307\) −29.0395 −1.65737 −0.828686 0.559714i \(-0.810911\pi\)
−0.828686 + 0.559714i \(0.810911\pi\)
\(308\) 5.45267 0.310695
\(309\) 8.02669 10.0652i 0.456623 0.572587i
\(310\) −18.9422 + 9.12210i −1.07585 + 0.518100i
\(311\) 12.1418 + 15.2253i 0.688496 + 0.863347i 0.996106 0.0881655i \(-0.0281004\pi\)
−0.307609 + 0.951513i \(0.599529\pi\)
\(312\) 35.9343 17.3050i 2.03438 0.979704i
\(313\) −3.56278 + 15.6095i −0.201380 + 0.882304i 0.768718 + 0.639588i \(0.220895\pi\)
−0.970098 + 0.242715i \(0.921962\pi\)
\(314\) −11.5682 + 14.5061i −0.652831 + 0.818624i
\(315\) −15.1814 + 66.5139i −0.855372 + 3.74763i
\(316\) 0.961150 + 0.462866i 0.0540689 + 0.0260382i
\(317\) −14.5746 18.2760i −0.818593 1.02648i −0.999079 0.0429060i \(-0.986338\pi\)
0.180486 0.983578i \(-0.442233\pi\)
\(318\) 37.1029 + 46.5255i 2.08063 + 2.60902i
\(319\) −1.23611 5.41575i −0.0692088 0.303224i
\(320\) 11.0269 + 5.31026i 0.616420 + 0.296852i
\(321\) −21.2015 + 10.2101i −1.18335 + 0.569873i
\(322\) −1.10559 4.84391i −0.0616122 0.269941i
\(323\) 0.380449 + 1.66685i 0.0211687 + 0.0927462i
\(324\) −17.9623 + 8.65017i −0.997904 + 0.480565i
\(325\) −61.7729 29.7482i −3.42654 1.65014i
\(326\) 3.03040 + 13.2770i 0.167838 + 0.735348i
\(327\) −6.72481 8.43264i −0.371883 0.466326i
\(328\) 11.8275 + 14.8312i 0.653064 + 0.818916i
\(329\) −19.8664 9.56717i −1.09527 0.527455i
\(330\) −15.6800 + 68.6984i −0.863154 + 3.78173i
\(331\) 20.5645 25.7871i 1.13033 1.41739i 0.234990 0.971998i \(-0.424494\pi\)
0.895338 0.445388i \(-0.146934\pi\)
\(332\) 0.405560 1.77688i 0.0222580 0.0975187i
\(333\) −4.86971 + 2.34513i −0.266859 + 0.128512i
\(334\) 25.6784 + 32.1997i 1.40506 + 1.76189i
\(335\) −3.32970 + 1.60350i −0.181921 + 0.0876085i
\(336\) 22.2167 27.8589i 1.21202 1.51983i
\(337\) 34.1059 1.85786 0.928932 0.370250i \(-0.120728\pi\)
0.928932 + 0.370250i \(0.120728\pi\)
\(338\) 37.8643 2.05955
\(339\) −9.41740 + 11.8090i −0.511483 + 0.641379i
\(340\) 2.81023 + 1.35334i 0.152406 + 0.0733950i
\(341\) −2.22123 9.73183i −0.120286 0.527008i
\(342\) 4.80989 21.0735i 0.260089 1.13953i
\(343\) 20.1443 1.08769
\(344\) −11.4394 + 7.04596i −0.616772 + 0.379893i
\(345\) 17.8261 0.959725
\(346\) 0.993046 4.35082i 0.0533865 0.233901i
\(347\) −3.39441 14.8719i −0.182222 0.798365i −0.980570 0.196169i \(-0.937150\pi\)
0.798349 0.602196i \(-0.205707\pi\)
\(348\) 3.90676 + 1.88139i 0.209424 + 0.100853i
\(349\) 4.15589 5.21132i 0.222460 0.278955i −0.658060 0.752966i \(-0.728623\pi\)
0.880519 + 0.474010i \(0.157194\pi\)
\(350\) −42.2172 −2.25661
\(351\) 89.5086 4.77762
\(352\) 8.26066 10.3585i 0.440295 0.552112i
\(353\) −2.60019 + 1.25219i −0.138394 + 0.0666471i −0.501799 0.864984i \(-0.667328\pi\)
0.363405 + 0.931631i \(0.381614\pi\)
\(354\) −32.2439 40.4326i −1.71375 2.14897i
\(355\) 26.6194 12.8192i 1.41281 0.680374i
\(356\) −0.387396 + 1.69729i −0.0205319 + 0.0899563i
\(357\) −4.49142 + 5.63206i −0.237711 + 0.298080i
\(358\) 4.80948 21.0717i 0.254189 1.11368i
\(359\) −4.52126 2.17732i −0.238623 0.114915i 0.310751 0.950491i \(-0.399419\pi\)
−0.549374 + 0.835577i \(0.685134\pi\)
\(360\) 39.3858 + 49.3882i 2.07581 + 2.60299i
\(361\) −10.0238 12.5694i −0.527566 0.661547i
\(362\) 1.65051 + 7.23136i 0.0867490 + 0.380072i
\(363\) 2.12096 + 1.02140i 0.111322 + 0.0536096i
\(364\) 9.16351 4.41292i 0.480299 0.231300i
\(365\) 10.7140 + 46.9410i 0.560795 + 2.45700i
\(366\) −15.3778 67.3745i −0.803810 3.52172i
\(367\) 5.30832 2.55635i 0.277092 0.133440i −0.290177 0.956973i \(-0.593714\pi\)
0.567269 + 0.823533i \(0.308000\pi\)
\(368\) −6.01387 2.89613i −0.313495 0.150971i
\(369\) 15.6541 + 68.5849i 0.814918 + 3.57039i
\(370\) −2.99467 3.75520i −0.155685 0.195223i
\(371\) −15.1565 19.0057i −0.786887 0.986725i
\(372\) 7.02025 + 3.38077i 0.363983 + 0.175285i
\(373\) 6.55466 28.7179i 0.339388 1.48695i −0.460962 0.887420i \(-0.652495\pi\)
0.800349 0.599534i \(-0.204647\pi\)
\(374\) −3.32579 + 4.17041i −0.171973 + 0.215647i
\(375\) 19.0072 83.2761i 0.981528 4.30036i
\(376\) −18.3946 + 8.85837i −0.948629 + 0.456836i
\(377\) −6.46039 8.10107i −0.332727 0.417226i
\(378\) 49.6566 23.9133i 2.55406 1.22997i
\(379\) −6.48111 + 8.12705i −0.332912 + 0.417459i −0.919910 0.392130i \(-0.871738\pi\)
0.586998 + 0.809589i \(0.300310\pi\)
\(380\) 5.33283 0.273568
\(381\) 41.4903 2.12561
\(382\) −11.1607 + 13.9950i −0.571030 + 0.716049i
\(383\) 7.80344 + 3.75794i 0.398737 + 0.192022i 0.622496 0.782623i \(-0.286119\pi\)
−0.223759 + 0.974644i \(0.571833\pi\)
\(384\) −9.62335 42.1627i −0.491090 2.15160i
\(385\) 6.40526 28.0633i 0.326442 1.43024i
\(386\) 6.94827 0.353658
\(387\) −49.5586 + 5.13551i −2.51921 + 0.261053i
\(388\) 6.01665 0.305449
\(389\) −6.86857 + 30.0932i −0.348250 + 1.52578i 0.432901 + 0.901442i \(0.357490\pi\)
−0.781151 + 0.624342i \(0.785367\pi\)
\(390\) 29.2475 + 128.142i 1.48100 + 6.48870i
\(391\) 1.21579 + 0.585492i 0.0614850 + 0.0296096i
\(392\) 2.68716 3.36959i 0.135722 0.170190i
\(393\) 36.5267 1.84253
\(394\) 18.4712 0.930568
\(395\) 3.51130 4.40303i 0.176673 0.221541i
\(396\) 16.8687 8.12355i 0.847685 0.408224i
\(397\) −0.404620 0.507377i −0.0203073 0.0254645i 0.771574 0.636139i \(-0.219470\pi\)
−0.791881 + 0.610675i \(0.790898\pi\)
\(398\) −29.3354 + 14.1272i −1.47045 + 0.708133i
\(399\) −2.74063 + 12.0075i −0.137203 + 0.601126i
\(400\) −35.3623 + 44.3429i −1.76811 + 2.21714i
\(401\) 2.82392 12.3724i 0.141020 0.617849i −0.854179 0.519979i \(-0.825940\pi\)
0.995199 0.0978703i \(-0.0312030\pi\)
\(402\) 4.44487 + 2.14054i 0.221690 + 0.106760i
\(403\) −11.6090 14.5572i −0.578285 0.725147i
\(404\) −3.25854 4.08608i −0.162118 0.203290i
\(405\) 23.4196 + 102.608i 1.16373 + 5.09863i
\(406\) −5.74832 2.76825i −0.285284 0.137386i
\(407\) 2.05461 0.989449i 0.101843 0.0490452i
\(408\) 1.48421 + 6.50276i 0.0734794 + 0.321934i
\(409\) 2.46908 + 10.8178i 0.122088 + 0.534904i 0.998570 + 0.0534677i \(0.0170274\pi\)
−0.876481 + 0.481436i \(0.840115\pi\)
\(410\) −56.3238 + 27.1241i −2.78163 + 1.33956i
\(411\) 14.9426 + 7.19600i 0.737066 + 0.354952i
\(412\) −0.676397 2.96349i −0.0333237 0.146001i
\(413\) 13.1716 + 16.5167i 0.648134 + 0.812734i
\(414\) −10.6369 13.3383i −0.522777 0.655542i
\(415\) −8.66865 4.17460i −0.425527 0.204923i
\(416\) 5.49920 24.0936i 0.269621 1.18128i
\(417\) 19.8449 24.8847i 0.971809 1.21861i
\(418\) −2.02937 + 8.89126i −0.0992599 + 0.434886i
\(419\) 17.7732 8.55911i 0.868276 0.418140i 0.0539474 0.998544i \(-0.482820\pi\)
0.814329 + 0.580404i \(0.197105\pi\)
\(420\) 14.0093 + 17.5671i 0.683583 + 0.857186i
\(421\) −29.9219 + 14.4096i −1.45830 + 0.702281i −0.984014 0.178089i \(-0.943009\pi\)
−0.474288 + 0.880370i \(0.657294\pi\)
\(422\) 19.5412 24.5039i 0.951251 1.19283i
\(423\) −75.7136 −3.68132
\(424\) −22.5082 −1.09309
\(425\) 7.14897 8.96452i 0.346776 0.434843i
\(426\) −35.5347 17.1126i −1.72166 0.829109i
\(427\) 6.28182 + 27.5225i 0.303999 + 1.33191i
\(428\) −1.23638 + 5.41693i −0.0597627 + 0.261837i
\(429\) −62.4049 −3.01294
\(430\) −14.2490 41.9201i −0.687146 2.02157i
\(431\) 4.13426 0.199140 0.0995702 0.995031i \(-0.468253\pi\)
0.0995702 + 0.995031i \(0.468253\pi\)
\(432\) 16.4762 72.1872i 0.792714 3.47311i
\(433\) 2.57924 + 11.3004i 0.123950 + 0.543061i 0.998327 + 0.0578142i \(0.0184131\pi\)
−0.874377 + 0.485247i \(0.838730\pi\)
\(434\) −10.3294 4.97440i −0.495829 0.238779i
\(435\) 14.2723 17.8969i 0.684303 0.858089i
\(436\) −2.54668 −0.121964
\(437\) 2.30713 0.110365
\(438\) 40.0740 50.2512i 1.91481 2.40110i
\(439\) −7.35900 + 3.54391i −0.351226 + 0.169142i −0.601175 0.799118i \(-0.705300\pi\)
0.249949 + 0.968259i \(0.419586\pi\)
\(440\) −16.6175 20.8377i −0.792209 0.993398i
\(441\) 14.4001 6.93474i 0.685721 0.330226i
\(442\) −2.21401 + 9.70023i −0.105310 + 0.461393i
\(443\) 5.86951 7.36013i 0.278869 0.349690i −0.622596 0.782544i \(-0.713922\pi\)
0.901464 + 0.432853i \(0.142493\pi\)
\(444\) −0.396106 + 1.73545i −0.0187984 + 0.0823610i
\(445\) 8.28039 + 3.98763i 0.392528 + 0.189032i
\(446\) 27.8639 + 34.9402i 1.31939 + 1.65447i
\(447\) −20.3080 25.4654i −0.960535 1.20447i
\(448\) 1.48511 + 6.50670i 0.0701649 + 0.307413i
\(449\) 3.19283 + 1.53759i 0.150679 + 0.0725633i 0.507704 0.861532i \(-0.330494\pi\)
−0.357025 + 0.934095i \(0.616209\pi\)
\(450\) −130.606 + 62.8965i −6.15683 + 2.96497i
\(451\) −6.60471 28.9371i −0.311003 1.36260i
\(452\) 0.793590 + 3.47695i 0.0373274 + 0.163542i
\(453\) −37.6646 + 18.1383i −1.76964 + 0.852213i
\(454\) −23.1359 11.1416i −1.08582 0.522903i
\(455\) −11.9476 52.3458i −0.560112 2.45401i
\(456\) 7.11016 + 8.91586i 0.332964 + 0.417523i
\(457\) 7.97785 + 10.0039i 0.373188 + 0.467963i 0.932592 0.360932i \(-0.117541\pi\)
−0.559404 + 0.828895i \(0.688970\pi\)
\(458\) 16.7787 + 8.08018i 0.784015 + 0.377562i
\(459\) −3.33090 + 14.5936i −0.155473 + 0.681172i
\(460\) 2.62428 3.29074i 0.122357 0.153431i
\(461\) −1.98304 + 8.68829i −0.0923596 + 0.404654i −0.999882 0.0153495i \(-0.995114\pi\)
0.907523 + 0.420003i \(0.137971\pi\)
\(462\) −34.6202 + 16.6722i −1.61068 + 0.775662i
\(463\) 21.5997 + 27.0851i 1.00382 + 1.25875i 0.965749 + 0.259479i \(0.0835507\pi\)
0.0380737 + 0.999275i \(0.487878\pi\)
\(464\) −7.72257 + 3.71899i −0.358511 + 0.172650i
\(465\) 25.6466 32.1598i 1.18933 1.49137i
\(466\) 45.4093 2.10354
\(467\) −29.3397 −1.35768 −0.678840 0.734286i \(-0.737517\pi\)
−0.678840 + 0.734286i \(0.737517\pi\)
\(468\) 21.7743 27.3042i 1.00652 1.26214i
\(469\) −1.81573 0.874409i −0.0838425 0.0403764i
\(470\) −14.9717 65.5952i −0.690592 3.02568i
\(471\) 8.07766 35.3905i 0.372199 1.63071i
\(472\) 19.5605 0.900347
\(473\) 20.9096 2.16676i 0.961424 0.0996276i
\(474\) −7.51784 −0.345306
\(475\) 4.36224 19.1122i 0.200153 0.876929i
\(476\) 0.378485 + 1.65825i 0.0173478 + 0.0760059i
\(477\) −75.2044 36.2165i −3.44337 1.65824i
\(478\) 0.988048 1.23897i 0.0451923 0.0566693i
\(479\) 28.6726 1.31008 0.655042 0.755592i \(-0.272651\pi\)
0.655042 + 0.755592i \(0.272651\pi\)
\(480\) 54.5963 2.49197
\(481\) 2.65212 3.32565i 0.120926 0.151637i
\(482\) 26.4150 12.7208i 1.20317 0.579417i
\(483\) 6.06082 + 7.60003i 0.275777 + 0.345813i
\(484\) 0.500791 0.241168i 0.0227632 0.0109622i
\(485\) 7.06777 30.9659i 0.320931 1.40609i
\(486\) 41.0093 51.4241i 1.86022 2.33264i
\(487\) −0.239572 + 1.04963i −0.0108560 + 0.0475634i −0.980066 0.198673i \(-0.936337\pi\)
0.969210 + 0.246236i \(0.0791940\pi\)
\(488\) 23.5502 + 11.3412i 1.06607 + 0.513392i
\(489\) −16.6126 20.8315i −0.751246 0.942033i
\(490\) 8.85548 + 11.1044i 0.400050 + 0.501647i
\(491\) −0.858328 3.76058i −0.0387358 0.169713i 0.951860 0.306533i \(-0.0991689\pi\)
−0.990596 + 0.136820i \(0.956312\pi\)
\(492\) 20.8744 + 10.0526i 0.941089 + 0.453204i
\(493\) 1.56122 0.751845i 0.0703140 0.0338614i
\(494\) 3.78534 + 16.5847i 0.170311 + 0.746180i
\(495\) −21.9938 96.3612i −0.988548 4.33111i
\(496\) −13.8771 + 6.68284i −0.623099 + 0.300069i
\(497\) 14.5159 + 6.99049i 0.651128 + 0.313567i
\(498\) 2.85803 + 12.5218i 0.128071 + 0.561117i
\(499\) 15.1981 + 19.0578i 0.680362 + 0.853146i 0.995387 0.0959367i \(-0.0305846\pi\)
−0.315026 + 0.949083i \(0.602013\pi\)
\(500\) −12.5748 15.7683i −0.562362 0.705179i
\(501\) −72.5984 34.9616i −3.24346 1.56197i
\(502\) 3.25980 14.2821i 0.145492 0.637442i
\(503\) −19.9064 + 24.9619i −0.887585 + 1.11300i 0.105362 + 0.994434i \(0.466400\pi\)
−0.992947 + 0.118562i \(0.962172\pi\)
\(504\) −7.66526 + 33.5837i −0.341438 + 1.49594i
\(505\) −24.8577 + 11.9708i −1.10615 + 0.532695i
\(506\) 4.48790 + 5.62765i 0.199511 + 0.250179i
\(507\) −66.7449 + 32.1427i −2.96425 + 1.42751i
\(508\) 6.10802 7.65921i 0.270999 0.339823i
\(509\) 23.4813 1.04079 0.520395 0.853926i \(-0.325785\pi\)
0.520395 + 0.853926i \(0.325785\pi\)
\(510\) −21.9808 −0.973327
\(511\) −16.3702 + 20.5276i −0.724176 + 0.908088i
\(512\) −0.156821 0.0755209i −0.00693056 0.00333758i
\(513\) 5.69491 + 24.9510i 0.251436 + 1.10161i
\(514\) −0.921948 + 4.03932i −0.0406654 + 0.178167i
\(515\) −16.0468 −0.707106
\(516\) −8.85409 + 13.8154i −0.389780 + 0.608188i
\(517\) 31.9448 1.40493
\(518\) 0.582822 2.55351i 0.0256078 0.112195i
\(519\) 1.94289 + 8.51235i 0.0852833 + 0.373650i
\(520\) −44.7909 21.5702i −1.96421 0.945914i
\(521\) −7.69881 + 9.65401i −0.337291 + 0.422950i −0.921333 0.388774i \(-0.872899\pi\)
0.584042 + 0.811723i \(0.301470\pi\)
\(522\) −21.9076 −0.958869
\(523\) 6.72618 0.294115 0.147058 0.989128i \(-0.453020\pi\)
0.147058 + 0.989128i \(0.453020\pi\)
\(524\) 5.37730 6.74292i 0.234908 0.294566i
\(525\) 74.4180 35.8378i 3.24787 1.56409i
\(526\) −9.92643 12.4474i −0.432813 0.542730i
\(527\) 2.80544 1.35103i 0.122207 0.0588517i
\(528\) −11.4871 + 50.3285i −0.499914 + 2.19026i
\(529\) −13.2049 + 16.5585i −0.574127 + 0.719933i
\(530\) 16.5055 72.3155i 0.716955 3.14119i
\(531\) 65.3557 + 31.4737i 2.83620 + 1.36584i
\(532\) 1.81315 + 2.27361i 0.0786098 + 0.0985736i
\(533\) −34.5188 43.2852i −1.49517 1.87489i
\(534\) −2.73002 11.9610i −0.118140 0.517604i
\(535\) 26.4270 + 12.7266i 1.14254 + 0.550218i
\(536\) −1.68121 + 0.809627i −0.0726171 + 0.0349706i
\(537\) 9.40973 + 41.2267i 0.406060 + 1.77906i
\(538\) −0.121896 0.534060i −0.00525530 0.0230250i
\(539\) −6.07566 + 2.92588i −0.261697 + 0.126027i
\(540\) 42.0662 + 20.2580i 1.81024 + 0.871765i
\(541\) −0.365733 1.60238i −0.0157241 0.0688918i 0.966457 0.256828i \(-0.0826774\pi\)
−0.982181 + 0.187936i \(0.939820\pi\)
\(542\) 3.03717 + 3.80849i 0.130457 + 0.163588i
\(543\) −9.04806 11.3459i −0.388289 0.486900i
\(544\) 3.72361 + 1.79320i 0.159649 + 0.0768827i
\(545\) −2.99159 + 13.1070i −0.128146 + 0.561443i
\(546\) −44.6882 + 56.0373i −1.91248 + 2.39817i
\(547\) −2.11019 + 9.24533i −0.0902251 + 0.395302i −0.999795 0.0202491i \(-0.993554\pi\)
0.909570 + 0.415551i \(0.136411\pi\)
\(548\) 3.52818 1.69908i 0.150717 0.0725813i
\(549\) 60.4377 + 75.7865i 2.57942 + 3.23449i
\(550\) 55.1048 26.5371i 2.34968 1.13155i
\(551\) 1.84718 2.31629i 0.0786926 0.0986774i
\(552\) 9.00063 0.383092
\(553\) 3.07103 0.130594
\(554\) 24.4543 30.6647i 1.03896 1.30282i
\(555\) 8.46657 + 4.07729i 0.359386 + 0.173071i
\(556\) −1.67230 7.32682i −0.0709213 0.310727i
\(557\) −2.41476 + 10.5798i −0.102317 + 0.448279i 0.897655 + 0.440700i \(0.145270\pi\)
−0.999971 + 0.00757910i \(0.997587\pi\)
\(558\) −39.3669 −1.66653
\(559\) 33.3862 20.5638i 1.41208 0.869755i
\(560\) −44.4152 −1.87689
\(561\) 2.32228 10.1746i 0.0980469 0.429572i
\(562\) −2.74512 12.0272i −0.115796 0.507335i
\(563\) 18.8479 + 9.07667i 0.794345 + 0.382536i 0.786623 0.617434i \(-0.211828\pi\)
0.00772189 + 0.999970i \(0.497542\pi\)
\(564\) −15.5471 + 19.4955i −0.654652 + 0.820908i
\(565\) 18.8271 0.792061
\(566\) 13.0032 0.546566
\(567\) −35.7836 + 44.8712i −1.50277 + 1.88441i
\(568\) 13.4405 6.47259i 0.563950 0.271584i
\(569\) −10.6347 13.3356i −0.445832 0.559055i 0.507238 0.861806i \(-0.330667\pi\)
−0.953070 + 0.302751i \(0.902095\pi\)
\(570\) −33.8593 + 16.3058i −1.41821 + 0.682975i
\(571\) −6.73531 + 29.5093i −0.281864 + 1.23493i 0.613537 + 0.789666i \(0.289746\pi\)
−0.895401 + 0.445261i \(0.853111\pi\)
\(572\) −9.18696 + 11.5201i −0.384126 + 0.481679i
\(573\) 7.79311 34.1438i 0.325562 1.42638i
\(574\) −30.7141 14.7911i −1.28198 0.617370i
\(575\) −9.64697 12.0969i −0.402307 0.504476i
\(576\) 14.2883 + 17.9170i 0.595347 + 0.746541i
\(577\) −2.48472 10.8863i −0.103440 0.453201i −0.999948 0.0101737i \(-0.996762\pi\)
0.896508 0.443027i \(-0.146096\pi\)
\(578\) −1.49915 0.721953i −0.0623564 0.0300293i
\(579\) −12.2480 + 5.89832i −0.509009 + 0.245126i
\(580\) −1.20270 5.26939i −0.0499395 0.218799i
\(581\) −1.16750 5.11517i −0.0484362 0.212213i
\(582\) −38.2011 + 18.3967i −1.58349 + 0.762567i
\(583\) 31.7300 + 15.2803i 1.31412 + 0.632847i
\(584\) 5.40962 + 23.7011i 0.223852 + 0.980758i
\(585\) −114.948 144.141i −4.75253 5.95948i
\(586\) 12.5926 + 15.7907i 0.520197 + 0.652307i
\(587\) 34.3879 + 16.5603i 1.41934 + 0.683518i 0.976982 0.213322i \(-0.0684282\pi\)
0.442357 + 0.896839i \(0.354143\pi\)
\(588\) 1.17132 5.13188i 0.0483043 0.211635i
\(589\) 3.31929 4.16226i 0.136769 0.171503i
\(590\) −14.3440 + 62.8452i −0.590534 + 2.58730i
\(591\) −32.5600 + 15.6801i −1.33934 + 0.644992i
\(592\) −2.19389 2.75106i −0.0901685 0.113068i
\(593\) −42.7646 + 20.5943i −1.75613 + 0.845708i −0.780855 + 0.624712i \(0.785216\pi\)
−0.975275 + 0.220996i \(0.929069\pi\)
\(594\) −49.7836 + 62.4266i −2.04265 + 2.56140i
\(595\) 8.97915 0.368109
\(596\) −7.69062 −0.315020
\(597\) 39.7183 49.8052i 1.62556 2.03839i
\(598\) 12.0967 + 5.82546i 0.494671 + 0.238221i
\(599\) −6.48450 28.4105i −0.264950 1.16082i −0.915807 0.401620i \(-0.868447\pi\)
0.650857 0.759200i \(-0.274410\pi\)
\(600\) 17.0180 74.5609i 0.694759 3.04394i
\(601\) 21.9826 0.896689 0.448344 0.893861i \(-0.352014\pi\)
0.448344 + 0.893861i \(0.352014\pi\)
\(602\) 13.0277 20.3277i 0.530970 0.828494i
\(603\) −6.91998 −0.281803
\(604\) −2.19644 + 9.62322i −0.0893718 + 0.391563i
\(605\) −0.652942 2.86073i −0.0265459 0.116305i
\(606\) 33.1829 + 15.9801i 1.34796 + 0.649145i
\(607\) 20.4506 25.6442i 0.830063 1.04087i −0.168415 0.985716i \(-0.553865\pi\)
0.998478 0.0551504i \(-0.0175638\pi\)
\(608\) 7.06610 0.286568
\(609\) 12.4827 0.505826
\(610\) −53.7073 + 67.3469i −2.17455 + 2.72680i
\(611\) 53.6850 25.8534i 2.17186 1.04591i
\(612\) 3.64142 + 4.56620i 0.147196 + 0.184578i
\(613\) 5.33075 2.56715i 0.215307 0.103686i −0.323122 0.946357i \(-0.604732\pi\)
0.538429 + 0.842671i \(0.319018\pi\)
\(614\) 10.7521 47.1082i 0.433921 1.90113i
\(615\) 76.2588 95.6255i 3.07505 3.85599i
\(616\) 3.23410 14.1695i 0.130306 0.570906i
\(617\) −25.7386 12.3951i −1.03620 0.499007i −0.163130 0.986605i \(-0.552159\pi\)
−0.873069 + 0.487597i \(0.837873\pi\)
\(618\) 13.3559 + 16.7477i 0.537251 + 0.673692i
\(619\) −4.16413 5.22166i −0.167371 0.209876i 0.691072 0.722786i \(-0.257139\pi\)
−0.858442 + 0.512910i \(0.828567\pi\)
\(620\) −2.16120 9.46882i −0.0867958 0.380277i
\(621\) 18.1990 + 8.76419i 0.730302 + 0.351695i
\(622\) −29.1943 + 14.0592i −1.17058 + 0.563723i
\(623\) 1.11521 + 4.88607i 0.0446801 + 0.195756i
\(624\) 21.4267 + 93.8765i 0.857755 + 3.75807i
\(625\) −44.2737 + 21.3211i −1.77095 + 0.852843i
\(626\) −24.0028 11.5592i −0.959347 0.461997i
\(627\) −3.97046 17.3957i −0.158565 0.694717i
\(628\) −5.34402 6.70119i −0.213249 0.267406i
\(629\) 0.443526 + 0.556164i 0.0176845 + 0.0221757i
\(630\) −102.279 49.2548i −4.07488 1.96236i
\(631\) 5.60329 24.5496i 0.223063 0.977304i −0.732094 0.681204i \(-0.761457\pi\)
0.955157 0.296100i \(-0.0956863\pi\)
\(632\) 1.77290 2.22315i 0.0705222 0.0884321i
\(633\) −13.6449 + 59.7824i −0.542337 + 2.37614i
\(634\) 35.0440 16.8763i 1.39177 0.670243i
\(635\) −32.2446 40.4335i −1.27959 1.60455i
\(636\) −24.7680 + 11.9276i −0.982113 + 0.472961i
\(637\) −7.84253 + 9.83422i −0.310732 + 0.389646i
\(638\) 9.24317 0.365941
\(639\) 55.3220 2.18851
\(640\) −33.6098 + 42.1454i −1.32854 + 1.66594i
\(641\) −24.0807 11.5967i −0.951132 0.458041i −0.107049 0.994254i \(-0.534140\pi\)
−0.844083 + 0.536213i \(0.819855\pi\)
\(642\) −8.71291 38.1738i −0.343871 1.50660i
\(643\) −4.63771 + 20.3191i −0.182893 + 0.801308i 0.797351 + 0.603516i \(0.206234\pi\)
−0.980244 + 0.197792i \(0.936623\pi\)
\(644\) 2.29523 0.0904447
\(645\) 60.7028 + 61.7984i 2.39017 + 2.43331i
\(646\) −2.84486 −0.111929
\(647\) 4.44245 19.4637i 0.174651 0.765195i −0.809393 0.587268i \(-0.800204\pi\)
0.984044 0.177928i \(-0.0569393\pi\)
\(648\) 11.8249 + 51.8081i 0.464524 + 2.03521i
\(649\) −27.5747 13.2793i −1.08240 0.521256i
\(650\) 71.1300 89.1942i 2.78995 3.49848i
\(651\) 22.4308 0.879134
\(652\) −6.29117 −0.246381
\(653\) 5.87502 7.36704i 0.229907 0.288295i −0.653475 0.756948i \(-0.726689\pi\)
0.883382 + 0.468654i \(0.155261\pi\)
\(654\) 16.1695 7.78680i 0.632276 0.304488i
\(655\) −28.3871 35.5963i −1.10918 1.39086i
\(656\) −41.2628 + 19.8711i −1.61104 + 0.775836i
\(657\) −20.0613 + 87.8944i −0.782667 + 3.42909i
\(658\) 22.8757 28.6852i 0.891788 1.11827i
\(659\) −0.639531 + 2.80197i −0.0249126 + 0.109149i −0.985856 0.167597i \(-0.946399\pi\)
0.960943 + 0.276747i \(0.0892563\pi\)
\(660\) −29.3283 14.1238i −1.14160 0.549766i
\(661\) −30.3405 38.0457i −1.18011 1.47981i −0.842646 0.538468i \(-0.819003\pi\)
−0.337461 0.941339i \(-0.609568\pi\)
\(662\) 34.2179 + 42.9079i 1.32992 + 1.66766i
\(663\) −4.33170 18.9784i −0.168229 0.737061i
\(664\) −4.37691 2.10781i −0.169857 0.0817989i
\(665\) 13.8315 6.66091i 0.536364 0.258299i
\(666\) −2.00124 8.76802i −0.0775466 0.339754i
\(667\) −0.520324 2.27969i −0.0201470 0.0882699i
\(668\) −17.1416 + 8.25495i −0.663228 + 0.319394i
\(669\) −78.7771 37.9371i −3.04570 1.46673i
\(670\) −1.36836 5.99519i −0.0528645 0.231614i
\(671\) −25.4997 31.9756i −0.984403 1.23440i
\(672\) 18.5626 + 23.2767i 0.716067 + 0.897920i
\(673\) 28.4970 + 13.7234i 1.09848 + 0.529000i 0.893180 0.449699i \(-0.148469\pi\)
0.205300 + 0.978699i \(0.434183\pi\)
\(674\) −12.6280 + 55.3269i −0.486413 + 2.13111i
\(675\) 107.012 134.189i 4.11891 5.16495i
\(676\) −3.89227 + 17.0532i −0.149703 + 0.655891i
\(677\) −9.80212 + 4.72045i −0.376726 + 0.181422i −0.612658 0.790348i \(-0.709900\pi\)
0.235932 + 0.971769i \(0.424186\pi\)
\(678\) −15.6699 19.6494i −0.601799 0.754632i
\(679\) 15.6051 7.51504i 0.598870 0.288401i
\(680\) 5.18365 6.50009i 0.198784 0.249267i
\(681\) 50.2406 1.92522
\(682\) 16.6095 0.636012
\(683\) −13.9654 + 17.5120i −0.534370 + 0.670079i −0.973591 0.228300i \(-0.926683\pi\)
0.439220 + 0.898379i \(0.355255\pi\)
\(684\) 8.99656 + 4.33252i 0.343992 + 0.165658i
\(685\) −4.60012 20.1545i −0.175762 0.770062i
\(686\) −7.45860 + 32.6783i −0.284771 + 1.24766i
\(687\) −36.4356 −1.39010
\(688\) −10.4388 30.7106i −0.397975 1.17083i
\(689\) 65.6906 2.50261
\(690\) −6.60028 + 28.9177i −0.251268 + 1.10088i
\(691\) −5.58461 24.4678i −0.212449 0.930799i −0.962897 0.269869i \(-0.913019\pi\)
0.750448 0.660929i \(-0.229838\pi\)
\(692\) 1.85742 + 0.894487i 0.0706086 + 0.0340033i
\(693\) 33.6051 42.1394i 1.27655 1.60074i
\(694\) 25.3822 0.963494
\(695\) −39.6735 −1.50490
\(696\) 7.20625 9.03636i 0.273152 0.342522i
\(697\) 8.34184 4.01722i 0.315970 0.152163i
\(698\) 6.91511 + 8.67127i 0.261741 + 0.328212i
\(699\) −80.0448 + 38.5475i −3.02757 + 1.45800i
\(700\) 4.33973 19.0136i 0.164026 0.718647i
\(701\) −13.1720 + 16.5171i −0.497499 + 0.623844i −0.965663 0.259798i \(-0.916344\pi\)
0.468164 + 0.883641i \(0.344916\pi\)
\(702\) −33.1414 + 145.202i −1.25084 + 5.48030i
\(703\) 1.09578 + 0.527701i 0.0413282 + 0.0199026i
\(704\) −6.02848 7.55947i −0.227207 0.284908i
\(705\) 82.0743 + 102.918i 3.09110 + 3.87611i
\(706\) −1.06857 4.68169i −0.0402160 0.176198i
\(707\) −13.5552 6.52785i −0.509796 0.245505i
\(708\) 21.5244 10.3656i 0.808936 0.389563i
\(709\) 0.128823 + 0.564410i 0.00483804 + 0.0211969i 0.977289 0.211909i \(-0.0679682\pi\)
−0.972451 + 0.233106i \(0.925111\pi\)
\(710\) 10.9394 + 47.9288i 0.410549 + 1.79873i
\(711\) 9.50075 4.57532i 0.356306 0.171588i
\(712\) 4.18088 + 2.01340i 0.156685 + 0.0754555i
\(713\) −0.934996 4.09649i −0.0350159 0.153415i
\(714\) −7.47341 9.37136i −0.279685 0.350715i
\(715\) 48.4986 + 60.8153i 1.81374 + 2.27436i
\(716\) 8.99580 + 4.33215i 0.336189 + 0.161900i
\(717\) −0.689919 + 3.02273i −0.0257655 + 0.112886i
\(718\) 5.20612 6.52827i 0.194291 0.243633i
\(719\) −4.40326 + 19.2919i −0.164214 + 0.719468i 0.824026 + 0.566553i \(0.191723\pi\)
−0.988239 + 0.152915i \(0.951134\pi\)
\(720\) −137.406 + 66.1712i −5.12082 + 2.46605i
\(721\) −5.45586 6.84144i −0.203187 0.254788i
\(722\) 24.1016 11.6067i 0.896969 0.431958i
\(723\) −35.7642 + 44.8469i −1.33009 + 1.66788i
\(724\) −3.42649 −0.127345
\(725\) −19.8687 −0.737904
\(726\) −2.44224 + 3.06247i −0.0906398 + 0.113659i
\(727\) 10.8248 + 5.21294i 0.401469 + 0.193337i 0.623712 0.781654i \(-0.285624\pi\)
−0.222244 + 0.974991i \(0.571338\pi\)
\(728\) −6.03249 26.4301i −0.223579 0.979564i
\(729\) −11.3210 + 49.6006i −0.419297 + 1.83706i
\(730\) −80.1152 −2.96519
\(731\) 2.11035 + 6.20858i 0.0780539 + 0.229633i
\(732\) 31.9246 1.17997
\(733\) −3.63573 + 15.9292i −0.134289 + 0.588357i 0.862341 + 0.506328i \(0.168997\pi\)
−0.996630 + 0.0820297i \(0.973860\pi\)
\(734\) 2.18149 + 9.55773i 0.0805203 + 0.352782i
\(735\) −25.0363 12.0569i −0.923480 0.444724i
\(736\) 3.47722 4.36029i 0.128172 0.160723i
\(737\) 2.91965 0.107547
\(738\) −117.055 −4.30887
\(739\) −17.0688 + 21.4036i −0.627885 + 0.787343i −0.989430 0.145012i \(-0.953678\pi\)
0.361545 + 0.932355i \(0.382249\pi\)
\(740\) 1.99909 0.962709i 0.0734879 0.0353899i
\(741\) −20.7512 26.0211i −0.762313 0.955910i
\(742\) 36.4431 17.5501i 1.33787 0.644283i
\(743\) −6.70166 + 29.3619i −0.245860 + 1.07718i 0.689722 + 0.724074i \(0.257733\pi\)
−0.935582 + 0.353109i \(0.885124\pi\)
\(744\) 12.9493 16.2379i 0.474744 0.595310i
\(745\) −9.03419 + 39.5814i −0.330987 + 1.45015i
\(746\) 44.1595 + 21.2661i 1.61680 + 0.778608i
\(747\) −11.2326 14.0852i −0.410980 0.515352i
\(748\) −1.53638 1.92655i −0.0561755 0.0704418i
\(749\) 3.55922 + 15.5940i 0.130051 + 0.569791i
\(750\) 128.054 + 61.6675i 4.67587 + 2.25178i
\(751\) 11.3044 5.44394i 0.412505 0.198652i −0.216109 0.976369i \(-0.569337\pi\)
0.628614 + 0.777717i \(0.283622\pi\)
\(752\) −10.9682 48.0550i −0.399971 1.75239i
\(753\) 6.37778 + 27.9429i 0.232419 + 1.01829i
\(754\) 15.5337 7.48063i 0.565703 0.272428i
\(755\) 46.9478 + 22.6089i 1.70860 + 0.822820i
\(756\) 5.66552 + 24.8223i 0.206053 + 0.902777i
\(757\) −12.2742 15.3914i −0.446115 0.559411i 0.507028 0.861929i \(-0.330744\pi\)
−0.953143 + 0.302519i \(0.902173\pi\)
\(758\) −10.7841 13.5228i −0.391697 0.491172i