Properties

Label 49.4.e.a.8.8
Level $49$
Weight $4$
Character 49.8
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 8.8
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.521845 + 0.654373i) q^{2} +(5.78023 - 2.78361i) q^{3} +(1.62429 - 7.11646i) q^{4} +(-1.28950 + 0.620991i) q^{5} +(4.83790 + 2.32981i) q^{6} +(-17.3557 - 6.46381i) q^{7} +(11.5371 - 5.55599i) q^{8} +(8.82835 - 11.0704i) q^{9} +O(q^{10})\) \(q+(0.521845 + 0.654373i) q^{2} +(5.78023 - 2.78361i) q^{3} +(1.62429 - 7.11646i) q^{4} +(-1.28950 + 0.620991i) q^{5} +(4.83790 + 2.32981i) q^{6} +(-17.3557 - 6.46381i) q^{7} +(11.5371 - 5.55599i) q^{8} +(8.82835 - 11.0704i) q^{9} +(-1.07928 - 0.519753i) q^{10} +(33.8930 + 42.5005i) q^{11} +(-10.4207 - 45.6562i) q^{12} +(41.8811 + 52.5173i) q^{13} +(-4.82722 - 14.7302i) q^{14} +(-5.72501 + 7.17894i) q^{15} +(-42.9565 - 20.6868i) q^{16} +(-4.21013 - 18.4458i) q^{17} +11.8512 q^{18} -58.6213 q^{19} +(2.32474 + 10.1853i) q^{20} +(-118.313 + 10.9491i) q^{21} +(-10.1243 + 44.3573i) q^{22} +(-4.27322 + 18.7222i) q^{23} +(51.2216 - 64.2299i) q^{24} +(-76.6590 + 96.1274i) q^{25} +(-12.5104 + 54.8117i) q^{26} +(-18.3310 + 80.3133i) q^{27} +(-74.1900 + 113.012i) q^{28} +(-50.8862 - 222.947i) q^{29} -7.68527 q^{30} +165.221 q^{31} +(-31.6753 - 138.778i) q^{32} +(314.214 + 151.318i) q^{33} +(9.87339 - 12.3808i) q^{34} +(26.3941 - 2.44262i) q^{35} +(-64.4423 - 80.8081i) q^{36} +(-53.1486 - 232.859i) q^{37} +(-30.5912 - 38.3601i) q^{38} +(388.270 + 186.981i) q^{39} +(-11.4269 + 14.3289i) q^{40} +(-174.801 + 84.1798i) q^{41} +(-68.9056 - 71.7067i) q^{42} +(-206.174 - 99.2879i) q^{43} +(357.505 - 172.165i) q^{44} +(-4.50955 + 19.7576i) q^{45} +(-14.4812 + 6.97380i) q^{46} +(153.504 + 192.488i) q^{47} -305.882 q^{48} +(259.438 + 224.368i) q^{49} -102.907 q^{50} +(-75.6815 - 94.9016i) q^{51} +(441.764 - 212.742i) q^{52} +(118.302 - 518.313i) q^{53} +(-62.1207 + 29.9158i) q^{54} +(-70.0975 - 33.7572i) q^{55} +(-236.148 + 21.8540i) q^{56} +(-338.844 + 163.179i) q^{57} +(119.336 - 149.642i) q^{58} +(-150.933 - 72.6854i) q^{59} +(41.7896 + 52.4025i) q^{60} +(100.825 + 441.743i) q^{61} +(86.2197 + 108.116i) q^{62} +(-224.779 + 135.069i) q^{63} +(-163.531 + 205.062i) q^{64} +(-86.6185 - 41.7133i) q^{65} +(64.9530 + 284.578i) q^{66} +153.689 q^{67} -138.107 q^{68} +(27.4151 + 120.114i) q^{69} +(15.3720 + 15.9969i) q^{70} +(137.788 - 603.690i) q^{71} +(40.3468 - 176.771i) q^{72} +(-247.285 + 310.085i) q^{73} +(124.641 - 156.295i) q^{74} +(-175.526 + 769.028i) q^{75} +(-95.2177 + 417.176i) q^{76} +(-313.521 - 956.703i) q^{77} +(80.2615 + 351.649i) q^{78} -981.604 q^{79} +68.2387 q^{80} +(202.675 + 887.979i) q^{81} +(-146.304 - 70.4563i) q^{82} +(-258.066 + 323.604i) q^{83} +(-114.254 + 859.751i) q^{84} +(16.8836 + 21.1714i) q^{85} +(-42.6193 - 186.727i) q^{86} +(-914.732 - 1147.04i) q^{87} +(627.161 + 302.025i) q^{88} +(833.012 - 1044.56i) q^{89} +(-15.2821 + 7.35948i) q^{90} +(-387.413 - 1182.18i) q^{91} +(126.295 + 60.8204i) q^{92} +(955.016 - 459.911i) q^{93} +(-45.8536 + 200.898i) q^{94} +(75.5921 - 36.4033i) q^{95} +(-569.396 - 714.000i) q^{96} +1061.38 q^{97} +(-11.4335 + 286.854i) q^{98} +769.717 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.521845 + 0.654373i 0.184500 + 0.231356i 0.865476 0.500950i \(-0.167016\pi\)
−0.680976 + 0.732305i \(0.738444\pi\)
\(3\) 5.78023 2.78361i 1.11241 0.535707i 0.214868 0.976643i \(-0.431068\pi\)
0.897538 + 0.440937i \(0.145354\pi\)
\(4\) 1.62429 7.11646i 0.203036 0.889558i
\(5\) −1.28950 + 0.620991i −0.115336 + 0.0555431i −0.490662 0.871350i \(-0.663245\pi\)
0.375326 + 0.926893i \(0.377531\pi\)
\(6\) 4.83790 + 2.32981i 0.329178 + 0.158524i
\(7\) −17.3557 6.46381i −0.937118 0.349013i
\(8\) 11.5371 5.55599i 0.509874 0.245543i
\(9\) 8.82835 11.0704i 0.326976 0.410015i
\(10\) −1.07928 0.519753i −0.0341298 0.0164360i
\(11\) 33.8930 + 42.5005i 0.929012 + 1.16494i 0.986029 + 0.166571i \(0.0532694\pi\)
−0.0570176 + 0.998373i \(0.518159\pi\)
\(12\) −10.4207 45.6562i −0.250684 1.09832i
\(13\) 41.8811 + 52.5173i 0.893518 + 1.12044i 0.992118 + 0.125309i \(0.0399923\pi\)
−0.0985995 + 0.995127i \(0.531436\pi\)
\(14\) −4.82722 14.7302i −0.0921520 0.281200i
\(15\) −5.72501 + 7.17894i −0.0985461 + 0.123573i
\(16\) −42.9565 20.6868i −0.671195 0.323231i
\(17\) −4.21013 18.4458i −0.0600651 0.263163i 0.935975 0.352066i \(-0.114521\pi\)
−0.996040 + 0.0889037i \(0.971664\pi\)
\(18\) 11.8512 0.155186
\(19\) −58.6213 −0.707823 −0.353912 0.935279i \(-0.615149\pi\)
−0.353912 + 0.935279i \(0.615149\pi\)
\(20\) 2.32474 + 10.1853i 0.0259914 + 0.113876i
\(21\) −118.313 + 10.9491i −1.22942 + 0.113776i
\(22\) −10.1243 + 44.3573i −0.0981137 + 0.429864i
\(23\) −4.27322 + 18.7222i −0.0387403 + 0.169732i −0.990597 0.136810i \(-0.956315\pi\)
0.951857 + 0.306542i \(0.0991722\pi\)
\(24\) 51.2216 64.2299i 0.435649 0.546286i
\(25\) −76.6590 + 96.1274i −0.613272 + 0.769019i
\(26\) −12.5104 + 54.8117i −0.0943652 + 0.413441i
\(27\) −18.3310 + 80.3133i −0.130659 + 0.572455i
\(28\) −74.1900 + 113.012i −0.500736 + 0.762758i
\(29\) −50.8862 222.947i −0.325839 1.42759i −0.826981 0.562229i \(-0.809944\pi\)
0.501142 0.865365i \(-0.332913\pi\)
\(30\) −7.68527 −0.0467711
\(31\) 165.221 0.957244 0.478622 0.878021i \(-0.341136\pi\)
0.478622 + 0.878021i \(0.341136\pi\)
\(32\) −31.6753 138.778i −0.174983 0.766650i
\(33\) 314.214 + 151.318i 1.65751 + 0.798213i
\(34\) 9.87339 12.3808i 0.0498021 0.0624499i
\(35\) 26.3941 2.44262i 0.127469 0.0117965i
\(36\) −64.4423 80.8081i −0.298344 0.374112i
\(37\) −53.1486 232.859i −0.236151 1.03464i −0.944430 0.328711i \(-0.893386\pi\)
0.708280 0.705932i \(-0.249472\pi\)
\(38\) −30.5912 38.3601i −0.130593 0.163759i
\(39\) 388.270 + 186.981i 1.59418 + 0.767717i
\(40\) −11.4269 + 14.3289i −0.0451689 + 0.0566400i
\(41\) −174.801 + 84.1798i −0.665838 + 0.320651i −0.736095 0.676878i \(-0.763332\pi\)
0.0702570 + 0.997529i \(0.477618\pi\)
\(42\) −68.9056 71.7067i −0.253151 0.263443i
\(43\) −206.174 99.2879i −0.731190 0.352123i 0.0309621 0.999521i \(-0.490143\pi\)
−0.762152 + 0.647398i \(0.775857\pi\)
\(44\) 357.505 172.165i 1.22491 0.589884i
\(45\) −4.50955 + 19.7576i −0.0149387 + 0.0654509i
\(46\) −14.4812 + 6.97380i −0.0464161 + 0.0223528i
\(47\) 153.504 + 192.488i 0.476402 + 0.597389i 0.960726 0.277500i \(-0.0895059\pi\)
−0.484324 + 0.874889i \(0.660934\pi\)
\(48\) −305.882 −0.919799
\(49\) 259.438 + 224.368i 0.756380 + 0.654133i
\(50\) −102.907 −0.291066
\(51\) −75.6815 94.9016i −0.207795 0.260566i
\(52\) 441.764 212.742i 1.17811 0.567347i
\(53\) 118.302 518.313i 0.306603 1.34332i −0.553352 0.832948i \(-0.686651\pi\)
0.859955 0.510370i \(-0.170491\pi\)
\(54\) −62.1207 + 29.9158i −0.156547 + 0.0753893i
\(55\) −70.0975 33.7572i −0.171854 0.0827603i
\(56\) −236.148 + 21.8540i −0.563510 + 0.0521495i
\(57\) −338.844 + 163.179i −0.787387 + 0.379185i
\(58\) 119.336 149.642i 0.270165 0.338776i
\(59\) −150.933 72.6854i −0.333047 0.160387i 0.259885 0.965640i \(-0.416315\pi\)
−0.592932 + 0.805253i \(0.702030\pi\)
\(60\) 41.7896 + 52.4025i 0.0899169 + 0.112752i
\(61\) 100.825 + 441.743i 0.211628 + 0.927203i 0.963461 + 0.267849i \(0.0863129\pi\)
−0.751833 + 0.659354i \(0.770830\pi\)
\(62\) 86.2197 + 108.116i 0.176612 + 0.221464i
\(63\) −224.779 + 135.069i −0.449516 + 0.270113i
\(64\) −163.531 + 205.062i −0.319397 + 0.400511i
\(65\) −86.6185 41.7133i −0.165288 0.0795984i
\(66\) 64.9530 + 284.578i 0.121139 + 0.530744i
\(67\) 153.689 0.280239 0.140120 0.990135i \(-0.455251\pi\)
0.140120 + 0.990135i \(0.455251\pi\)
\(68\) −138.107 −0.246294
\(69\) 27.4151 + 120.114i 0.0478318 + 0.209565i
\(70\) 15.3720 + 15.9969i 0.0262472 + 0.0273142i
\(71\) 137.788 603.690i 0.230316 1.00908i −0.719062 0.694946i \(-0.755428\pi\)
0.949378 0.314135i \(-0.101715\pi\)
\(72\) 40.3468 176.771i 0.0660406 0.289343i
\(73\) −247.285 + 310.085i −0.396473 + 0.497161i −0.939498 0.342556i \(-0.888707\pi\)
0.543025 + 0.839717i \(0.317279\pi\)
\(74\) 124.641 156.295i 0.195801 0.245526i
\(75\) −175.526 + 769.028i −0.270239 + 1.18400i
\(76\) −95.2177 + 417.176i −0.143713 + 0.629650i
\(77\) −313.521 956.703i −0.464013 1.41593i
\(78\) 80.2615 + 351.649i 0.116511 + 0.510466i
\(79\) −981.604 −1.39796 −0.698982 0.715139i \(-0.746363\pi\)
−0.698982 + 0.715139i \(0.746363\pi\)
\(80\) 68.2387 0.0953665
\(81\) 202.675 + 887.979i 0.278018 + 1.21808i
\(82\) −146.304 70.4563i −0.197031 0.0948853i
\(83\) −258.066 + 323.604i −0.341282 + 0.427954i −0.922621 0.385707i \(-0.873957\pi\)
0.581339 + 0.813661i \(0.302529\pi\)
\(84\) −114.254 + 859.751i −0.148407 + 1.11674i
\(85\) 16.8836 + 21.1714i 0.0215446 + 0.0270160i
\(86\) −42.6193 186.727i −0.0534390 0.234132i
\(87\) −914.732 1147.04i −1.12724 1.41351i
\(88\) 627.161 + 302.025i 0.759723 + 0.365863i
\(89\) 833.012 1044.56i 0.992125 1.24409i 0.0224347 0.999748i \(-0.492858\pi\)
0.969690 0.244337i \(-0.0785704\pi\)
\(90\) −15.2821 + 7.35948i −0.0178986 + 0.00861953i
\(91\) −387.413 1182.18i −0.446285 1.36183i
\(92\) 126.295 + 60.8204i 0.143121 + 0.0689235i
\(93\) 955.016 459.911i 1.06484 0.512802i
\(94\) −45.8536 + 200.898i −0.0503132 + 0.220436i
\(95\) 75.5921 36.4033i 0.0816378 0.0393147i
\(96\) −569.396 714.000i −0.605352 0.759087i
\(97\) 1061.38 1.11100 0.555501 0.831516i \(-0.312527\pi\)
0.555501 + 0.831516i \(0.312527\pi\)
\(98\) −11.4335 + 286.854i −0.0117853 + 0.295680i
\(99\) 769.717 0.781409
\(100\) 559.571 + 701.680i 0.559571 + 0.701680i
\(101\) 1790.60 862.309i 1.76408 0.849534i 0.793561 0.608491i \(-0.208225\pi\)
0.970514 0.241043i \(-0.0774895\pi\)
\(102\) 22.6070 99.0478i 0.0219454 0.0961490i
\(103\) −842.671 + 405.809i −0.806125 + 0.388209i −0.791107 0.611678i \(-0.790495\pi\)
−0.0150180 + 0.999887i \(0.504781\pi\)
\(104\) 774.974 + 373.208i 0.730697 + 0.351885i
\(105\) 145.765 87.5899i 0.135478 0.0814085i
\(106\) 400.905 193.066i 0.367352 0.176908i
\(107\) −790.337 + 991.051i −0.714063 + 0.895406i −0.997986 0.0634407i \(-0.979793\pi\)
0.283923 + 0.958847i \(0.408364\pi\)
\(108\) 541.772 + 260.903i 0.482704 + 0.232458i
\(109\) −447.179 560.745i −0.392954 0.492749i 0.545520 0.838098i \(-0.316332\pi\)
−0.938474 + 0.345349i \(0.887761\pi\)
\(110\) −14.4902 63.4859i −0.0125599 0.0550286i
\(111\) −955.401 1198.03i −0.816961 1.02444i
\(112\) 611.823 + 636.695i 0.516177 + 0.537161i
\(113\) 249.253 312.553i 0.207502 0.260200i −0.667180 0.744897i \(-0.732499\pi\)
0.874682 + 0.484697i \(0.161070\pi\)
\(114\) −283.604 136.576i −0.233000 0.112207i
\(115\) −6.11599 26.7959i −0.00495930 0.0217281i
\(116\) −1669.25 −1.33608
\(117\) 951.129 0.751555
\(118\) −31.2001 136.697i −0.0243407 0.106644i
\(119\) −46.1606 + 347.353i −0.0355591 + 0.267578i
\(120\) −26.1641 + 114.633i −0.0199037 + 0.0872040i
\(121\) −361.381 + 1583.31i −0.271511 + 1.18957i
\(122\) −236.449 + 296.498i −0.175468 + 0.220030i
\(123\) −776.067 + 973.158i −0.568908 + 0.713388i
\(124\) 268.366 1175.79i 0.194355 0.851524i
\(125\) 78.9677 345.980i 0.0565047 0.247563i
\(126\) −205.685 76.6039i −0.145428 0.0541621i
\(127\) 41.7539 + 182.936i 0.0291737 + 0.127818i 0.987418 0.158133i \(-0.0505475\pi\)
−0.958244 + 0.285952i \(0.907690\pi\)
\(128\) −1358.30 −0.937955
\(129\) −1468.11 −1.00201
\(130\) −17.9054 78.4486i −0.0120800 0.0529261i
\(131\) −426.891 205.580i −0.284715 0.137111i 0.286076 0.958207i \(-0.407649\pi\)
−0.570791 + 0.821095i \(0.693363\pi\)
\(132\) 1587.22 1990.31i 1.04659 1.31238i
\(133\) 1017.41 + 378.917i 0.663314 + 0.247040i
\(134\) 80.2016 + 100.570i 0.0517042 + 0.0648350i
\(135\) −26.2360 114.947i −0.0167262 0.0732822i
\(136\) −151.058 189.420i −0.0952433 0.119431i
\(137\) −468.430 225.584i −0.292122 0.140679i 0.282083 0.959390i \(-0.408975\pi\)
−0.574205 + 0.818711i \(0.694689\pi\)
\(138\) −64.2926 + 80.6203i −0.0396590 + 0.0497309i
\(139\) −1733.93 + 835.018i −1.05806 + 0.509535i −0.880240 0.474528i \(-0.842619\pi\)
−0.177820 + 0.984063i \(0.556904\pi\)
\(140\) 25.4888 191.800i 0.0153871 0.115786i
\(141\) 1423.10 + 685.329i 0.849977 + 0.409327i
\(142\) 466.942 224.867i 0.275950 0.132891i
\(143\) −812.533 + 3559.94i −0.475157 + 2.08180i
\(144\) −608.246 + 292.916i −0.351994 + 0.169511i
\(145\) 204.066 + 255.890i 0.116874 + 0.146555i
\(146\) −331.956 −0.188170
\(147\) 2124.17 + 574.721i 1.19182 + 0.322464i
\(148\) −1743.46 −0.968322
\(149\) 2044.84 + 2564.15i 1.12429 + 1.40982i 0.900322 + 0.435225i \(0.143331\pi\)
0.223973 + 0.974595i \(0.428097\pi\)
\(150\) −594.828 + 286.454i −0.323783 + 0.155926i
\(151\) 486.589 2131.89i 0.262239 1.14894i −0.656578 0.754258i \(-0.727997\pi\)
0.918817 0.394685i \(-0.129146\pi\)
\(152\) −676.322 + 325.699i −0.360901 + 0.173801i
\(153\) −241.371 116.238i −0.127540 0.0614202i
\(154\) 462.431 704.410i 0.241972 0.368591i
\(155\) −213.053 + 102.601i −0.110405 + 0.0531683i
\(156\) 1961.31 2459.40i 1.00660 1.26224i
\(157\) −1798.65 866.185i −0.914318 0.440313i −0.0832791 0.996526i \(-0.526539\pi\)
−0.831039 + 0.556214i \(0.812254\pi\)
\(158\) −512.245 642.335i −0.257924 0.323427i
\(159\) −758.973 3325.28i −0.378556 1.65856i
\(160\) 127.025 + 159.285i 0.0627640 + 0.0787036i
\(161\) 195.181 297.315i 0.0955431 0.145538i
\(162\) −475.304 + 596.012i −0.230515 + 0.289056i
\(163\) −233.613 112.502i −0.112258 0.0540604i 0.376912 0.926249i \(-0.376986\pi\)
−0.489170 + 0.872189i \(0.662700\pi\)
\(164\) 315.135 + 1380.70i 0.150048 + 0.657405i
\(165\) −499.147 −0.235506
\(166\) −346.428 −0.161976
\(167\) 125.964 + 551.883i 0.0583674 + 0.255724i 0.995691 0.0927367i \(-0.0295615\pi\)
−0.937323 + 0.348461i \(0.886704\pi\)
\(168\) −1304.16 + 783.665i −0.598915 + 0.359887i
\(169\) −515.157 + 2257.05i −0.234482 + 1.02733i
\(170\) −5.04335 + 22.0964i −0.00227534 + 0.00996891i
\(171\) −517.529 + 648.961i −0.231441 + 0.290218i
\(172\) −1041.46 + 1305.95i −0.461691 + 0.578942i
\(173\) −751.152 + 3291.01i −0.330110 + 1.44631i 0.488806 + 0.872393i \(0.337433\pi\)
−0.818916 + 0.573914i \(0.805424\pi\)
\(174\) 273.242 1197.15i 0.119048 0.521585i
\(175\) 1951.82 1172.85i 0.843106 0.506621i
\(176\) −576.728 2526.81i −0.247003 1.08219i
\(177\) −1074.75 −0.456404
\(178\) 1118.24 0.470873
\(179\) −609.189 2669.03i −0.254374 1.11449i −0.927165 0.374653i \(-0.877762\pi\)
0.672791 0.739832i \(-0.265095\pi\)
\(180\) 133.280 + 64.1840i 0.0551893 + 0.0265777i
\(181\) 2149.24 2695.06i 0.882607 1.10675i −0.110996 0.993821i \(-0.535404\pi\)
0.993603 0.112933i \(-0.0360246\pi\)
\(182\) 571.420 870.429i 0.232728 0.354508i
\(183\) 1812.43 + 2272.72i 0.732125 + 0.918056i
\(184\) 54.7197 + 239.743i 0.0219238 + 0.0960546i
\(185\) 213.138 + 267.267i 0.0847041 + 0.106216i
\(186\) 799.323 + 384.934i 0.315103 + 0.151746i
\(187\) 641.262 804.117i 0.250768 0.314454i
\(188\) 1619.17 779.750i 0.628138 0.302495i
\(189\) 837.276 1275.40i 0.322238 0.490856i
\(190\) 63.2687 + 30.4686i 0.0241578 + 0.0116338i
\(191\) 1298.60 625.375i 0.491957 0.236914i −0.171422 0.985198i \(-0.554836\pi\)
0.663379 + 0.748284i \(0.269122\pi\)
\(192\) −374.436 + 1640.51i −0.140743 + 0.616634i
\(193\) 1570.65 756.386i 0.585792 0.282103i −0.117420 0.993082i \(-0.537462\pi\)
0.703213 + 0.710980i \(0.251748\pi\)
\(194\) 553.877 + 694.540i 0.204980 + 0.257036i
\(195\) −616.789 −0.226508
\(196\) 2018.11 1481.84i 0.735461 0.540031i
\(197\) 2819.62 1.01974 0.509872 0.860250i \(-0.329693\pi\)
0.509872 + 0.860250i \(0.329693\pi\)
\(198\) 401.673 + 503.682i 0.144170 + 0.180783i
\(199\) −768.184 + 369.938i −0.273644 + 0.131780i −0.565673 0.824629i \(-0.691384\pi\)
0.292030 + 0.956409i \(0.405669\pi\)
\(200\) −350.343 + 1534.95i −0.123865 + 0.542688i
\(201\) 888.355 427.809i 0.311740 0.150126i
\(202\) 1498.69 + 721.730i 0.522016 + 0.251390i
\(203\) −557.924 + 4198.31i −0.192900 + 1.45155i
\(204\) −798.292 + 384.437i −0.273979 + 0.131941i
\(205\) 173.131 217.100i 0.0589854 0.0739654i
\(206\) −705.294 339.652i −0.238544 0.114877i
\(207\) 169.537 + 212.592i 0.0569257 + 0.0713825i
\(208\) −712.655 3122.34i −0.237566 1.04084i
\(209\) −1986.85 2491.43i −0.657576 0.824574i
\(210\) 133.383 + 49.6762i 0.0438300 + 0.0163237i
\(211\) 584.828 733.351i 0.190811 0.239270i −0.677218 0.735782i \(-0.736815\pi\)
0.868030 + 0.496512i \(0.165386\pi\)
\(212\) −3496.40 1683.78i −1.13271 0.545483i
\(213\) −883.991 3873.02i −0.284366 1.24589i
\(214\) −1060.95 −0.338902
\(215\) 327.518 0.103891
\(216\) 234.733 + 1028.43i 0.0739424 + 0.323963i
\(217\) −2867.52 1067.96i −0.897051 0.334091i
\(218\) 133.578 585.244i 0.0415002 0.181824i
\(219\) −566.206 + 2480.71i −0.174706 + 0.765438i
\(220\) −354.090 + 444.015i −0.108512 + 0.136070i
\(221\) 792.398 993.636i 0.241188 0.302440i
\(222\) 285.390 1250.38i 0.0862799 0.378017i
\(223\) −1103.05 + 4832.79i −0.331237 + 1.45124i 0.485501 + 0.874236i \(0.338637\pi\)
−0.816738 + 0.577008i \(0.804220\pi\)
\(224\) −347.293 + 2613.34i −0.103591 + 0.779513i
\(225\) 387.396 + 1697.29i 0.114784 + 0.502902i
\(226\) 334.598 0.0984828
\(227\) 1929.91 0.564285 0.282143 0.959373i \(-0.408955\pi\)
0.282143 + 0.959373i \(0.408955\pi\)
\(228\) 610.876 + 2676.42i 0.177440 + 0.777414i
\(229\) −4558.51 2195.26i −1.31544 0.633481i −0.361187 0.932493i \(-0.617628\pi\)
−0.954249 + 0.299013i \(0.903343\pi\)
\(230\) 14.3429 17.9854i 0.00411193 0.00515619i
\(231\) −4475.31 4657.24i −1.27469 1.32651i
\(232\) −1825.77 2289.45i −0.516672 0.647886i
\(233\) 1514.32 + 6634.65i 0.425777 + 1.86545i 0.496626 + 0.867965i \(0.334572\pi\)
−0.0708490 + 0.997487i \(0.522571\pi\)
\(234\) 496.342 + 622.393i 0.138662 + 0.173876i
\(235\) −317.477 152.889i −0.0881273 0.0424399i
\(236\) −762.421 + 956.045i −0.210294 + 0.263700i
\(237\) −5673.90 + 2732.41i −1.55510 + 0.748898i
\(238\) −251.387 + 151.058i −0.0684663 + 0.0411413i
\(239\) 2342.66 + 1128.17i 0.634034 + 0.305334i 0.723154 0.690686i \(-0.242691\pi\)
−0.0891209 + 0.996021i \(0.528406\pi\)
\(240\) 394.436 189.950i 0.106086 0.0510885i
\(241\) 1238.43 5425.91i 0.331013 1.45026i −0.486160 0.873870i \(-0.661603\pi\)
0.817173 0.576393i \(-0.195540\pi\)
\(242\) −1224.66 + 589.765i −0.325306 + 0.156659i
\(243\) 2256.52 + 2829.59i 0.595703 + 0.746988i
\(244\) 3307.41 0.867769
\(245\) −473.876 128.213i −0.123571 0.0334337i
\(246\) −1041.79 −0.270010
\(247\) −2455.13 3078.63i −0.632453 0.793071i
\(248\) 1906.18 917.967i 0.488074 0.235044i
\(249\) −590.891 + 2588.86i −0.150386 + 0.658885i
\(250\) 267.609 128.874i 0.0677003 0.0326027i
\(251\) 1018.98 + 490.713i 0.256244 + 0.123401i 0.557596 0.830112i \(-0.311724\pi\)
−0.301352 + 0.953513i \(0.597438\pi\)
\(252\) 596.111 + 1819.02i 0.149014 + 0.454713i
\(253\) −940.535 + 452.938i −0.233719 + 0.112553i
\(254\) −97.9192 + 122.787i −0.0241890 + 0.0303320i
\(255\) 156.524 + 75.3782i 0.0384390 + 0.0185112i
\(256\) 599.427 + 751.657i 0.146344 + 0.183510i
\(257\) 1402.93 + 6146.65i 0.340516 + 1.49190i 0.797988 + 0.602673i \(0.205898\pi\)
−0.457472 + 0.889224i \(0.651245\pi\)
\(258\) −766.125 960.691i −0.184872 0.231822i
\(259\) −582.729 + 4384.97i −0.139803 + 1.05200i
\(260\) −437.544 + 548.663i −0.104367 + 0.130872i
\(261\) −2917.36 1404.92i −0.691876 0.333190i
\(262\) −88.2450 386.627i −0.0208084 0.0911675i
\(263\) 4800.80 1.12559 0.562794 0.826597i \(-0.309726\pi\)
0.562794 + 0.826597i \(0.309726\pi\)
\(264\) 4465.86 1.04112
\(265\) 169.318 + 741.829i 0.0392495 + 0.171963i
\(266\) 282.978 + 863.502i 0.0652274 + 0.199040i
\(267\) 1907.34 8356.61i 0.437181 1.91542i
\(268\) 249.634 1093.72i 0.0568986 0.249289i
\(269\) 4118.44 5164.36i 0.933478 1.17054i −0.0516401 0.998666i \(-0.516445\pi\)
0.985118 0.171879i \(-0.0549837\pi\)
\(270\) 61.5273 77.1528i 0.0138683 0.0173903i
\(271\) −366.708 + 1606.65i −0.0821991 + 0.360138i −0.999254 0.0386236i \(-0.987703\pi\)
0.917055 + 0.398761i \(0.130560\pi\)
\(272\) −200.731 + 879.461i −0.0447468 + 0.196048i
\(273\) −5530.08 5754.89i −1.22599 1.27583i
\(274\) −96.8318 424.248i −0.0213497 0.0935392i
\(275\) −6683.67 −1.46560
\(276\) 899.314 0.196132
\(277\) 834.020 + 3654.08i 0.180908 + 0.792608i 0.981199 + 0.192997i \(0.0618209\pi\)
−0.800292 + 0.599611i \(0.795322\pi\)
\(278\) −1451.26 698.889i −0.313096 0.150779i
\(279\) 1458.63 1829.06i 0.312996 0.392484i
\(280\) 290.941 174.826i 0.0620967 0.0373138i
\(281\) −2808.44 3521.67i −0.596219 0.747635i 0.388564 0.921422i \(-0.372971\pi\)
−0.984783 + 0.173786i \(0.944400\pi\)
\(282\) 294.177 + 1288.87i 0.0621205 + 0.272168i
\(283\) 2515.54 + 3154.38i 0.528386 + 0.662575i 0.972366 0.233462i \(-0.0750054\pi\)
−0.443980 + 0.896037i \(0.646434\pi\)
\(284\) −4072.33 1961.13i −0.850874 0.409759i
\(285\) 335.608 420.839i 0.0697532 0.0874678i
\(286\) −2753.54 + 1326.04i −0.569302 + 0.274161i
\(287\) 3577.91 331.114i 0.735880 0.0681013i
\(288\) −1815.97 874.527i −0.371553 0.178931i
\(289\) 4103.94 1976.35i 0.835322 0.402270i
\(290\) −60.9570 + 267.070i −0.0123432 + 0.0540790i
\(291\) 6135.04 2954.48i 1.23588 0.595171i
\(292\) 1805.05 + 2263.46i 0.361755 + 0.453627i
\(293\) −2875.42 −0.573323 −0.286661 0.958032i \(-0.592545\pi\)
−0.286661 + 0.958032i \(0.592545\pi\)
\(294\) 732.403 + 1689.91i 0.145288 + 0.335230i
\(295\) 239.765 0.0473208
\(296\) −1906.95 2391.24i −0.374456 0.469553i
\(297\) −4034.65 + 1942.98i −0.788262 + 0.379607i
\(298\) −610.819 + 2676.18i −0.118738 + 0.520224i
\(299\) −1162.21 + 559.689i −0.224790 + 0.108253i
\(300\) 5187.65 + 2498.24i 0.998364 + 0.480787i
\(301\) 2936.50 + 3055.88i 0.562316 + 0.585175i
\(302\) 1648.97 794.103i 0.314198 0.151310i
\(303\) 7949.76 9968.69i 1.50727 1.89005i
\(304\) 2518.16 + 1212.68i 0.475088 + 0.228790i
\(305\) −404.332 507.016i −0.0759081 0.0951858i
\(306\) −49.8951 218.605i −0.00932129 0.0408392i
\(307\) −1754.72 2200.35i −0.326213 0.409058i 0.591499 0.806306i \(-0.298537\pi\)
−0.917711 + 0.397248i \(0.869965\pi\)
\(308\) −7317.59 + 677.198i −1.35376 + 0.125282i
\(309\) −3741.22 + 4691.34i −0.688772 + 0.863693i
\(310\) −178.319 85.8741i −0.0326705 0.0157333i
\(311\) −269.070 1178.87i −0.0490597 0.214944i 0.944456 0.328637i \(-0.106589\pi\)
−0.993516 + 0.113693i \(0.963732\pi\)
\(312\) 5518.40 1.00134
\(313\) 5256.27 0.949208 0.474604 0.880200i \(-0.342591\pi\)
0.474604 + 0.880200i \(0.342591\pi\)
\(314\) −371.809 1629.00i −0.0668229 0.292770i
\(315\) 205.976 313.758i 0.0368426 0.0561214i
\(316\) −1594.41 + 6985.55i −0.283837 + 1.24357i
\(317\) 1977.13 8662.36i 0.350304 1.53478i −0.426175 0.904641i \(-0.640139\pi\)
0.776479 0.630143i \(-0.217004\pi\)
\(318\) 1779.90 2231.93i 0.313874 0.393586i
\(319\) 7750.67 9719.04i 1.36036 1.70584i
\(320\) 83.5323 365.979i 0.0145925 0.0639339i
\(321\) −1809.63 + 7928.49i −0.314653 + 1.37858i
\(322\) 296.409 27.4309i 0.0512988 0.00474740i
\(323\) 246.803 + 1081.32i 0.0425155 + 0.186273i
\(324\) 6648.47 1.14000
\(325\) −8258.92 −1.40961
\(326\) −48.2914 211.579i −0.00820434 0.0359456i
\(327\) −4145.70 1996.46i −0.701094 0.337629i
\(328\) −1549.00 + 1942.39i −0.260760 + 0.326983i
\(329\) −1419.96 4332.98i −0.237948 0.726094i
\(330\) −260.477 326.628i −0.0434509 0.0544857i
\(331\) 2353.14 + 10309.8i 0.390756 + 1.71201i 0.662000 + 0.749504i \(0.269708\pi\)
−0.271244 + 0.962511i \(0.587435\pi\)
\(332\) 1883.74 + 2362.14i 0.311397 + 0.390480i
\(333\) −3047.06 1467.39i −0.501435 0.241478i
\(334\) −295.404 + 370.424i −0.0483945 + 0.0606848i
\(335\) −198.181 + 95.4391i −0.0323218 + 0.0155654i
\(336\) 5308.79 + 1977.17i 0.861960 + 0.321022i
\(337\) −7446.34 3585.97i −1.20364 0.579645i −0.278932 0.960311i \(-0.589980\pi\)
−0.924712 + 0.380666i \(0.875695\pi\)
\(338\) −1745.78 + 840.725i −0.280941 + 0.135294i
\(339\) 570.712 2500.45i 0.0914361 0.400608i
\(340\) 178.089 85.7633i 0.0284066 0.0136799i
\(341\) 5599.84 + 7021.98i 0.889291 + 1.11514i
\(342\) −694.732 −0.109844
\(343\) −3052.45 5571.01i −0.480516 0.876986i
\(344\) −2930.30 −0.459276
\(345\) −109.941 137.862i −0.0171566 0.0215137i
\(346\) −2545.53 + 1225.86i −0.395516 + 0.190471i
\(347\) −1371.57 + 6009.23i −0.212189 + 0.929662i 0.750887 + 0.660431i \(0.229626\pi\)
−0.963076 + 0.269230i \(0.913231\pi\)
\(348\) −9648.64 + 4646.54i −1.48627 + 0.715749i
\(349\) 1390.53 + 669.642i 0.213276 + 0.102708i 0.537472 0.843282i \(-0.319379\pi\)
−0.324196 + 0.945990i \(0.605094\pi\)
\(350\) 1786.02 + 665.173i 0.272763 + 0.101586i
\(351\) −4985.56 + 2400.92i −0.758146 + 0.365104i
\(352\) 4824.59 6049.84i 0.730543 0.916072i
\(353\) 8630.77 + 4156.36i 1.30133 + 0.626687i 0.950783 0.309858i \(-0.100281\pi\)
0.350547 + 0.936545i \(0.385996\pi\)
\(354\) −560.855 703.290i −0.0842065 0.105592i
\(355\) 197.208 + 864.023i 0.0294837 + 0.129176i
\(356\) −6080.55 7624.77i −0.905249 1.13515i
\(357\) 700.077 + 2136.27i 0.103787 + 0.316704i
\(358\) 1428.64 1791.46i 0.210910 0.264473i
\(359\) −9744.76 4692.83i −1.43262 0.689911i −0.453133 0.891443i \(-0.649694\pi\)
−0.979482 + 0.201532i \(0.935408\pi\)
\(360\) 57.7459 + 253.001i 0.00845410 + 0.0370398i
\(361\) −3422.55 −0.498986
\(362\) 2885.15 0.418895
\(363\) 2318.46 + 10157.9i 0.335228 + 1.46873i
\(364\) −9042.24 + 836.805i −1.30204 + 0.120496i
\(365\) 126.314 553.417i 0.0181139 0.0793621i
\(366\) −541.396 + 2372.01i −0.0773203 + 0.338763i
\(367\) −6467.18 + 8109.59i −0.919848 + 1.15345i 0.0679461 + 0.997689i \(0.478355\pi\)
−0.987794 + 0.155764i \(0.950216\pi\)
\(368\) 570.864 715.841i 0.0808651 0.101402i
\(369\) −611.302 + 2678.29i −0.0862415 + 0.377849i
\(370\) −63.6671 + 278.944i −0.00894567 + 0.0391935i
\(371\) −5403.48 + 8230.99i −0.756159 + 1.15184i
\(372\) −1721.72 7543.36i −0.239965 1.05136i
\(373\) −1084.71 −0.150574 −0.0752871 0.997162i \(-0.523987\pi\)
−0.0752871 + 0.997162i \(0.523987\pi\)
\(374\) 860.831 0.119017
\(375\) −506.623 2219.66i −0.0697651 0.305661i
\(376\) 2840.46 + 1367.89i 0.389589 + 0.187616i
\(377\) 9577.40 12009.7i 1.30839 1.64066i
\(378\) 1271.52 117.671i 0.173015 0.0160115i
\(379\) 3423.62 + 4293.09i 0.464010 + 0.581850i 0.957693 0.287792i \(-0.0929212\pi\)
−0.493683 + 0.869642i \(0.664350\pi\)
\(380\) −136.279 597.078i −0.0183973 0.0806038i
\(381\) 750.570 + 941.186i 0.100926 + 0.126557i
\(382\) 1086.90 + 523.423i 0.145577 + 0.0701064i
\(383\) 2550.00 3197.59i 0.340205 0.426604i −0.582069 0.813139i \(-0.697757\pi\)
0.922275 + 0.386535i \(0.126328\pi\)
\(384\) −7851.31 + 3780.99i −1.04339 + 0.502469i
\(385\) 998.388 + 1038.98i 0.132163 + 0.137535i
\(386\) 1314.59 + 633.075i 0.173345 + 0.0834784i
\(387\) −2919.33 + 1405.88i −0.383457 + 0.184663i
\(388\) 1723.99 7553.29i 0.225573 0.988299i
\(389\) −7987.39 + 3846.53i −1.04107 + 0.501354i −0.874677 0.484706i \(-0.838927\pi\)
−0.166394 + 0.986059i \(0.553212\pi\)
\(390\) −321.868 403.610i −0.0417908 0.0524040i
\(391\) 363.337 0.0469942
\(392\) 4239.76 + 1147.12i 0.546276 + 0.147802i
\(393\) −3039.79 −0.390170
\(394\) 1471.40 + 1845.08i 0.188143 + 0.235924i
\(395\) 1265.78 609.567i 0.161236 0.0776472i
\(396\) 1250.24 5477.66i 0.158654 0.695108i
\(397\) 2196.93 1057.98i 0.277734 0.133750i −0.289832 0.957078i \(-0.593599\pi\)
0.567566 + 0.823328i \(0.307885\pi\)
\(398\) −642.950 309.629i −0.0809754 0.0389957i
\(399\) 6935.63 641.851i 0.870215 0.0805331i
\(400\) 5281.57 2543.47i 0.660196 0.317934i
\(401\) 459.549 576.257i 0.0572289 0.0717628i −0.752393 0.658714i \(-0.771101\pi\)
0.809622 + 0.586951i \(0.199672\pi\)
\(402\) 743.530 + 358.065i 0.0922486 + 0.0444246i
\(403\) 6919.64 + 8676.96i 0.855315 + 1.07253i
\(404\) −3228.14 14143.4i −0.397539 1.74173i
\(405\) −812.777 1019.19i −0.0997215 0.125047i
\(406\) −3038.41 + 1825.78i −0.371413 + 0.223182i
\(407\) 8095.26 10151.1i 0.985915 1.23630i
\(408\) −1400.42 674.407i −0.169929 0.0818337i
\(409\) −495.846 2172.44i −0.0599463 0.262642i 0.936070 0.351814i \(-0.114435\pi\)
−0.996016 + 0.0891722i \(0.971578\pi\)
\(410\) 232.412 0.0279951
\(411\) −3335.57 −0.400321
\(412\) 1519.19 + 6655.99i 0.181662 + 0.795915i
\(413\) 2149.71 + 2237.10i 0.256127 + 0.266539i
\(414\) −50.6427 + 221.880i −0.00601197 + 0.0263402i
\(415\) 131.821 577.544i 0.0155923 0.0683145i
\(416\) 5961.67 7475.70i 0.702632 0.881073i
\(417\) −7698.17 + 9653.20i −0.904031 + 1.13362i
\(418\) 593.498 2600.28i 0.0694472 0.304268i
\(419\) 2521.32 11046.6i 0.293972 1.28798i −0.584973 0.811053i \(-0.698895\pi\)
0.878945 0.476923i \(-0.158248\pi\)
\(420\) −386.566 1179.60i −0.0449107 0.137044i
\(421\) 1411.48 + 6184.11i 0.163400 + 0.715903i 0.988538 + 0.150972i \(0.0482402\pi\)
−0.825138 + 0.564931i \(0.808903\pi\)
\(422\) 785.074 0.0905611
\(423\) 3486.11 0.400710
\(424\) −1514.88 6637.14i −0.173512 0.760207i
\(425\) 2095.89 + 1009.33i 0.239213 + 0.115199i
\(426\) 2073.09 2599.57i 0.235778 0.295657i
\(427\) 1105.46 8318.46i 0.125286 0.942759i
\(428\) 5769.04 + 7234.15i 0.651535 + 0.817000i
\(429\) 5212.86 + 22839.0i 0.586665 + 2.57035i
\(430\) 170.913 + 214.319i 0.0191679 + 0.0240357i
\(431\) −1003.19 483.112i −0.112116 0.0539923i 0.376985 0.926219i \(-0.376961\pi\)
−0.489101 + 0.872227i \(0.662675\pi\)
\(432\) 2448.86 3070.77i 0.272733 0.341996i
\(433\) −4194.01 + 2019.73i −0.465476 + 0.224162i −0.651896 0.758309i \(-0.726026\pi\)
0.186419 + 0.982470i \(0.440312\pi\)
\(434\) −797.558 2433.73i −0.0882120 0.269177i
\(435\) 1891.85 + 911.066i 0.208522 + 0.100419i
\(436\) −4716.87 + 2271.52i −0.518112 + 0.249510i
\(437\) 250.501 1097.52i 0.0274213 0.120141i
\(438\) −1918.78 + 924.036i −0.209322 + 0.100804i
\(439\) −2663.20 3339.55i −0.289539 0.363071i 0.615694 0.787985i \(-0.288876\pi\)
−0.905234 + 0.424914i \(0.860304\pi\)
\(440\) −996.279 −0.107945
\(441\) 4774.25 891.290i 0.515522 0.0962412i
\(442\) 1063.72 0.114470
\(443\) −2025.57 2539.98i −0.217240 0.272411i 0.661255 0.750161i \(-0.270024\pi\)
−0.878496 + 0.477750i \(0.841453\pi\)
\(444\) −10077.6 + 4853.12i −1.07717 + 0.518736i
\(445\) −425.505 + 1864.26i −0.0453278 + 0.198594i
\(446\) −3738.07 + 1800.16i −0.396867 + 0.191121i
\(447\) 18957.2 + 9129.33i 2.00592 + 0.966001i
\(448\) 4163.68 2501.95i 0.439096 0.263853i
\(449\) 6674.49 3214.27i 0.701534 0.337841i −0.0488840 0.998804i \(-0.515566\pi\)
0.750418 + 0.660963i \(0.229852\pi\)
\(450\) −908.501 + 1139.22i −0.0951715 + 0.119341i
\(451\) −9502.23 4576.03i −0.992112 0.477776i
\(452\) −1819.42 2281.48i −0.189332 0.237415i
\(453\) −3121.75 13677.3i −0.323780 1.41857i
\(454\) 1007.11 + 1262.88i 0.104111 + 0.130551i
\(455\) 1233.69 + 1283.85i 0.127113 + 0.132281i
\(456\) −3002.68 + 3765.24i −0.308362 + 0.386674i
\(457\) 666.199 + 320.824i 0.0681914 + 0.0328392i 0.467669 0.883904i \(-0.345094\pi\)
−0.399477 + 0.916743i \(0.630808\pi\)
\(458\) −942.315 4128.55i −0.0961386 0.421211i
\(459\) 1558.62 0.158497
\(460\) −200.626 −0.0203353
\(461\) −602.522 2639.82i −0.0608725 0.266700i 0.935329 0.353780i \(-0.115104\pi\)
−0.996201 + 0.0870796i \(0.972247\pi\)
\(462\) 712.155 5358.88i 0.0717152 0.539649i
\(463\) 276.058 1209.49i 0.0277095 0.121403i −0.959182 0.282791i \(-0.908740\pi\)
0.986891 + 0.161387i \(0.0515969\pi\)
\(464\) −2426.16 + 10629.7i −0.242741 + 1.06352i
\(465\) −945.892 + 1186.11i −0.0943327 + 0.118289i
\(466\) −3551.29 + 4453.18i −0.353027 + 0.442682i
\(467\) −2909.77 + 12748.5i −0.288326 + 1.26324i 0.598496 + 0.801126i \(0.295765\pi\)
−0.886822 + 0.462112i \(0.847092\pi\)
\(468\) 1544.91 6768.67i 0.152592 0.668551i
\(469\) −2667.37 993.414i −0.262617 0.0978073i
\(470\) −65.6274 287.532i −0.00644078 0.0282189i
\(471\) −12807.7 −1.25297
\(472\) −2145.17 −0.209194
\(473\) −2768.06 12127.6i −0.269081 1.17892i
\(474\) −4748.91 2286.95i −0.460178 0.221610i
\(475\) 4493.85 5635.11i 0.434088 0.544330i
\(476\) 2396.94 + 892.700i 0.230806 + 0.0859597i
\(477\) −4693.53 5885.50i −0.450528 0.564944i
\(478\) 484.264 + 2121.70i 0.0463383 + 0.203021i
\(479\) 6873.82 + 8619.50i 0.655684 + 0.822202i 0.992866 0.119237i \(-0.0380450\pi\)
−0.337181 + 0.941440i \(0.609474\pi\)
\(480\) 1177.62 + 567.114i 0.111981 + 0.0539273i
\(481\) 10003.2 12543.6i 0.948247 1.18906i
\(482\) 4196.83 2021.09i 0.396598 0.190992i
\(483\) 300.584 2261.86i 0.0283168 0.213081i
\(484\) 10680.6 + 5143.50i 1.00306 + 0.483049i
\(485\) −1368.65 + 659.109i −0.128139 + 0.0617084i
\(486\) −674.051 + 2953.21i −0.0629127 + 0.275638i
\(487\) −13591.8 + 6545.49i −1.26469 + 0.609044i −0.941412 0.337260i \(-0.890500\pi\)
−0.323280 + 0.946303i \(0.604786\pi\)
\(488\) 3617.55 + 4536.27i 0.335572 + 0.420793i
\(489\) −1663.50 −0.153836
\(490\) −163.390 376.999i −0.0150637 0.0347573i
\(491\) 14530.5 1.33555 0.667774 0.744364i \(-0.267247\pi\)
0.667774 + 0.744364i \(0.267247\pi\)
\(492\) 5664.88 + 7103.54i 0.519091 + 0.650919i
\(493\) −3898.20 + 1877.27i −0.356118 + 0.171497i
\(494\) 733.377 3213.13i 0.0667939 0.292643i
\(495\) −992.551 + 477.987i −0.0901249 + 0.0434019i
\(496\) −7097.32 3417.89i −0.642498 0.309411i
\(497\) −6293.54 + 9586.80i −0.568016 + 0.865245i
\(498\) −2002.43 + 964.321i −0.180183 + 0.0867716i
\(499\) 6113.75 7666.40i 0.548475 0.687766i −0.427906 0.903823i \(-0.640748\pi\)
0.976381 + 0.216058i \(0.0693199\pi\)
\(500\) −2333.89 1123.94i −0.208749 0.100528i
\(501\) 2264.33 + 2839.38i 0.201922 + 0.253202i
\(502\) 210.638 + 922.867i 0.0187276 + 0.0820509i
\(503\) −13414.5 16821.2i −1.18911 1.49110i −0.829967 0.557813i \(-0.811641\pi\)
−0.359143 0.933283i \(-0.616931\pi\)
\(504\) −1842.86 + 2807.19i −0.162872 + 0.248099i
\(505\) −1773.50 + 2223.89i −0.156276 + 0.195964i
\(506\) −787.203 379.097i −0.0691610 0.0333062i
\(507\) 3305.03 + 14480.3i 0.289510 + 1.26843i
\(508\) 1369.68 0.119625
\(509\) −5022.03 −0.437324 −0.218662 0.975801i \(-0.570169\pi\)
−0.218662 + 0.975801i \(0.570169\pi\)
\(510\) 32.3560 + 141.761i 0.00280931 + 0.0123084i
\(511\) 6296.13 3783.34i 0.545057 0.327524i
\(512\) −2597.07 + 11378.5i −0.224170 + 0.982154i
\(513\) 1074.59 4708.07i 0.0924836 0.405197i
\(514\) −3290.09 + 4125.64i −0.282334 + 0.354035i
\(515\) 834.621 1046.58i 0.0714132 0.0895493i
\(516\) −2384.63 + 10447.7i −0.203445 + 0.891350i
\(517\) −2978.12 + 13048.0i −0.253342 + 1.10996i
\(518\) −3173.50 + 1906.95i −0.269180 + 0.161750i
\(519\) 4819.07 + 21113.7i 0.407579 + 1.78572i
\(520\) −1231.09 −0.103821
\(521\) −9059.77 −0.761834 −0.380917 0.924609i \(-0.624392\pi\)
−0.380917 + 0.924609i \(0.624392\pi\)
\(522\) −603.063 2642.19i −0.0505658 0.221543i
\(523\) −17635.6 8492.88i −1.47448 0.710072i −0.487831 0.872938i \(-0.662212\pi\)
−0.986648 + 0.162866i \(0.947926\pi\)
\(524\) −2156.40 + 2704.03i −0.179776 + 0.225432i
\(525\) 8017.22 12212.4i 0.666476 1.01523i
\(526\) 2505.27 + 3141.51i 0.207671 + 0.260411i
\(527\) −695.602 3047.63i −0.0574970 0.251911i
\(528\) −10367.3 13000.2i −0.854504 1.07151i
\(529\) 10629.8 + 5119.06i 0.873661 + 0.420733i
\(530\) −397.075 + 497.917i −0.0325431 + 0.0408078i
\(531\) −2137.14 + 1029.19i −0.174659 + 0.0841116i
\(532\) 4349.11 6624.90i 0.354432 0.539898i
\(533\) −11741.8 5654.54i −0.954207 0.459522i
\(534\) 6463.67 3112.74i 0.523802 0.252250i
\(535\) 403.706 1768.75i 0.0326238 0.142934i
\(536\) 1773.13 853.893i 0.142887 0.0688107i
\(537\) −10950.8 13731.9i −0.880004 1.10349i
\(538\) 5528.60 0.443039
\(539\) −742.591 + 18630.8i −0.0593426 + 1.48884i
\(540\) −860.633 −0.0685847
\(541\) 4642.48 + 5821.49i 0.368939 + 0.462635i 0.931298 0.364258i \(-0.118678\pi\)
−0.562359 + 0.826893i \(0.690106\pi\)
\(542\) −1242.72 + 598.460i −0.0984856 + 0.0474282i
\(543\) 4921.10 21560.7i 0.388922 1.70398i
\(544\) −2426.52 + 1168.55i −0.191243 + 0.0920979i
\(545\) 924.855 + 445.387i 0.0726907 + 0.0350060i
\(546\) 880.000 6621.89i 0.0689753 0.519031i
\(547\) −15117.9 + 7280.40i −1.18171 + 0.569081i −0.918409 0.395633i \(-0.870525\pi\)
−0.263301 + 0.964714i \(0.584811\pi\)
\(548\) −2366.23 + 2967.15i −0.184453 + 0.231297i
\(549\) 5780.39 + 2783.69i 0.449364 + 0.216402i
\(550\) −3487.84 4373.61i −0.270403 0.339075i
\(551\) 2983.01 + 13069.4i 0.230636 + 1.01048i
\(552\) 983.643 + 1233.45i 0.0758453 + 0.0951070i
\(553\) 17036.4 + 6344.91i 1.31006 + 0.487908i
\(554\) −1955.90 + 2452.62i −0.149997 + 0.188090i
\(555\) 1975.96 + 951.571i 0.151126 + 0.0727783i
\(556\) 3125.97 + 13695.8i 0.238437 + 1.04466i
\(557\) −19923.1 −1.51557 −0.757783 0.652506i \(-0.773718\pi\)
−0.757783 + 0.652506i \(0.773718\pi\)
\(558\) 1958.07 0.148551
\(559\) −3420.45 14986.0i −0.258801 1.13388i
\(560\) −1184.33 441.082i −0.0893697 0.0332842i
\(561\) 1468.29 6433.00i 0.110501 0.484138i
\(562\) 838.917 3675.54i 0.0629672 0.275877i
\(563\) −12713.0 + 15941.6i −0.951666 + 1.19335i 0.0293786 + 0.999568i \(0.490647\pi\)
−0.981044 + 0.193783i \(0.937924\pi\)
\(564\) 7188.64 9014.27i 0.536696 0.672995i
\(565\) −127.319 + 557.822i −0.00948028 + 0.0415358i
\(566\) −751.422 + 3292.20i −0.0558032 + 0.244490i
\(567\) 2222.16 16721.5i 0.164589 1.23851i
\(568\) −1764.41 7730.41i −0.130340 0.571057i
\(569\) 826.351 0.0608830 0.0304415 0.999537i \(-0.490309\pi\)
0.0304415 + 0.999537i \(0.490309\pi\)
\(570\) 450.520 0.0331056
\(571\) 2876.66 + 12603.5i 0.210831 + 0.923710i 0.964004 + 0.265888i \(0.0856650\pi\)
−0.753173 + 0.657822i \(0.771478\pi\)
\(572\) 24014.4 + 11564.7i 1.75541 + 0.845359i
\(573\) 5765.43 7229.63i 0.420339 0.527089i
\(574\) 2083.79 + 2168.50i 0.151525 + 0.157685i
\(575\) −1472.13 1846.00i −0.106769 0.133884i
\(576\) 826.405 + 3620.72i 0.0597804 + 0.261915i
\(577\) −10156.9 12736.4i −0.732821 0.918928i 0.266166 0.963927i \(-0.414243\pi\)
−0.998987 + 0.0449988i \(0.985672\pi\)
\(578\) 3434.89 + 1654.16i 0.247184 + 0.119038i
\(579\) 6973.24 8744.17i 0.500515 0.627626i
\(580\) 2152.50 1036.59i 0.154099 0.0742103i
\(581\) 6570.62 3948.28i 0.469183 0.281931i
\(582\) 5134.87 + 2472.82i 0.365717 + 0.176120i
\(583\) 26038.2 12539.3i 1.84973 0.890782i
\(584\) −1130.13 + 4951.41i −0.0800771 + 0.350841i
\(585\) −1226.48 + 590.642i −0.0866816 + 0.0417437i
\(586\) −1500.52 1881.59i −0.105778 0.132641i
\(587\) 14432.0 1.01477 0.507386 0.861719i \(-0.330612\pi\)
0.507386 + 0.861719i \(0.330612\pi\)
\(588\) 7540.23 14183.0i 0.528833 0.994725i
\(589\) −9685.46 −0.677560
\(590\) 125.120 + 156.896i 0.00873069 + 0.0109479i
\(591\) 16298.1 7848.73i 1.13437 0.546284i
\(592\) −2534.02 + 11102.3i −0.175925 + 0.770779i
\(593\) 9972.84 4802.67i 0.690616 0.332583i −0.0554438 0.998462i \(-0.517657\pi\)
0.746060 + 0.665878i \(0.231943\pi\)
\(594\) −3376.89 1626.23i −0.233259 0.112331i
\(595\) −156.179 476.577i −0.0107608 0.0328365i
\(596\) 21569.1 10387.1i 1.48239 0.713881i
\(597\) −3410.52 + 4276.66i −0.233808 + 0.293186i
\(598\) −972.736 468.445i −0.0665186 0.0320337i
\(599\) −11649.1 14607.5i −0.794609 0.996408i −0.999843 0.0176950i \(-0.994367\pi\)
0.205235 0.978713i \(-0.434204\pi\)
\(600\) 2247.65 + 9847.60i 0.152933 + 0.670044i
\(601\) −1364.21 1710.66i −0.0925909 0.116105i 0.733378 0.679821i \(-0.237943\pi\)
−0.825969 + 0.563716i \(0.809371\pi\)
\(602\) −467.284 + 3516.26i −0.0316363 + 0.238060i
\(603\) 1356.82 1701.39i 0.0916316 0.114902i
\(604\) −14381.1 6925.58i −0.968807 0.466553i
\(605\) −517.222 2266.10i −0.0347571 0.152281i
\(606\) 10671.8 0.715365
\(607\) 6041.06 0.403953 0.201976 0.979390i \(-0.435264\pi\)
0.201976 + 0.979390i \(0.435264\pi\)
\(608\) 1856.85 + 8135.37i 0.123857 + 0.542653i
\(609\) 8461.55 + 25820.3i 0.563020 + 1.71805i
\(610\) 120.779 529.168i 0.00801672 0.0351236i
\(611\) −3680.02 + 16123.2i −0.243663 + 1.06756i
\(612\) −1219.26 + 1528.90i −0.0805321 + 0.100984i
\(613\) 276.479 346.693i 0.0182168 0.0228431i −0.772640 0.634845i \(-0.781064\pi\)
0.790856 + 0.612002i \(0.209635\pi\)
\(614\) 524.157 2296.48i 0.0344516 0.150942i
\(615\) 396.417 1736.82i 0.0259920 0.113878i
\(616\) −8932.57 9295.70i −0.584259 0.608010i
\(617\) −1632.86 7154.03i −0.106542 0.466792i −0.999850 0.0173455i \(-0.994478\pi\)
0.893307 0.449446i \(-0.148379\pi\)
\(618\) −5022.22 −0.326899
\(619\) 17256.5 1.12051 0.560256 0.828319i \(-0.310703\pi\)
0.560256 + 0.828319i \(0.310703\pi\)
\(620\) 384.096 + 1682.83i 0.0248801 + 0.109007i
\(621\) −1425.31 686.392i −0.0921025 0.0443542i
\(622\) 631.009 791.260i 0.0406771 0.0510075i
\(623\) −21209.4 + 12744.7i −1.36394 + 0.819590i
\(624\) −12810.7 16064.1i −0.821857 1.03058i
\(625\) −3306.89 14488.4i −0.211641 0.927260i
\(626\) 2742.96 + 3439.56i 0.175129 + 0.219605i
\(627\) −18419.6 8870.44i −1.17322 0.564994i
\(628\) −9085.69 + 11393.1i −0.577323 + 0.723940i
\(629\) −4071.51 + 1960.74i −0.258095 + 0.124292i
\(630\) 312.802 28.9479i 0.0197815 0.00183065i
\(631\) −4010.27 1931.24i −0.253005 0.121841i 0.303083 0.952964i \(-0.401984\pi\)
−0.556088 + 0.831123i \(0.687698\pi\)
\(632\) −11324.9 + 5453.79i −0.712786 + 0.343260i
\(633\) 1339.07 5866.87i 0.0840813 0.368384i
\(634\) 6700.16 3226.63i 0.419712 0.202123i
\(635\) −167.443 209.967i −0.0104642 0.0131217i
\(636\) −24897.0 −1.55225
\(637\) −917.609 + 23021.8i −0.0570753 + 1.43196i
\(638\) 10404.5 0.645641
\(639\) −5466.65 6854.96i −0.338431 0.424379i
\(640\) 1751.53 843.494i 0.108180 0.0520969i
\(641\) −342.669 + 1501.33i −0.0211148 + 0.0925101i −0.984387 0.176015i \(-0.943679\pi\)
0.963273 + 0.268525i \(0.0865363\pi\)
\(642\) −6132.53 + 2953.27i −0.376997 + 0.181552i
\(643\) −1555.54 749.107i −0.0954034 0.0459438i 0.385574 0.922677i \(-0.374004\pi\)
−0.480977 + 0.876733i \(0.659718\pi\)
\(644\) −1798.80 1871.92i −0.110066 0.114541i
\(645\) 1893.13 911.683i 0.115569 0.0556550i
\(646\) −578.791 + 725.780i −0.0352511 + 0.0442035i
\(647\) 2900.27 + 1396.70i 0.176231 + 0.0848683i 0.519919 0.854216i \(-0.325962\pi\)
−0.343688 + 0.939084i \(0.611676\pi\)
\(648\) 7271.90 + 9118.68i 0.440845 + 0.552802i
\(649\) −2026.40 8878.25i −0.122563 0.536983i
\(650\) −4309.87 5404.41i −0.260072 0.326121i
\(651\) −19547.7 + 1809.02i −1.17686 + 0.108911i
\(652\) −1180.07 + 1479.76i −0.0708821 + 0.0888834i
\(653\) 4967.66 + 2392.30i 0.297702 + 0.143366i 0.576772 0.816905i \(-0.304312\pi\)
−0.279070 + 0.960271i \(0.590026\pi\)
\(654\) −856.980 3754.67i −0.0512394 0.224494i
\(655\) 678.140 0.0404536
\(656\) 9250.26 0.550552
\(657\) 1249.65 + 5475.09i 0.0742064 + 0.325119i
\(658\) 2094.39 3190.32i 0.124085 0.189015i
\(659\) −1123.04 + 4920.35i −0.0663844 + 0.290849i −0.997213 0.0746069i \(-0.976230\pi\)
0.930829 + 0.365456i \(0.119087\pi\)
\(660\) −810.757 + 3552.16i −0.0478162 + 0.209496i
\(661\) 15497.5 19433.2i 0.911925 1.14352i −0.0772839 0.997009i \(-0.524625\pi\)
0.989209 0.146509i \(-0.0468038\pi\)
\(662\) −5518.46 + 6919.93i −0.323990 + 0.406270i
\(663\) 1814.35 7949.17i 0.106280 0.465642i
\(664\) −1179.40 + 5167.28i −0.0689300 + 0.302002i
\(665\) −1547.26 + 143.189i −0.0902256 + 0.00834983i
\(666\) −629.874 2759.66i −0.0366473 0.160562i
\(667\) 4391.50 0.254932
\(668\) 4132.05 0.239332
\(669\) 7076.72 + 31005.1i 0.408971 + 1.79182i
\(670\) −165.873 79.8801i −0.00956451 0.00460603i
\(671\) −15357.0 + 19257.1i −0.883535 + 1.10792i
\(672\) 5267.08 + 16072.4i 0.302354 + 0.922629i
\(673\) 1677.84 + 2103.94i 0.0961010 + 0.120507i 0.827557 0.561382i \(-0.189730\pi\)
−0.731456 + 0.681889i \(0.761159\pi\)
\(674\) −1539.27 6744.00i −0.0879683 0.385414i
\(675\) −6315.07 7918.85i −0.360100 0.451550i
\(676\) 15225.5 + 7332.19i 0.866264 + 0.417171i
\(677\) −1177.99 + 1477.16i −0.0668745 + 0.0838579i −0.814144 0.580664i \(-0.802793\pi\)
0.747269 + 0.664522i \(0.231365\pi\)
\(678\) 1934.05 931.390i 0.109553 0.0527579i
\(679\) −18421.0 6860.58i −1.04114 0.387754i
\(680\) 312.417 + 150.452i 0.0176186 + 0.00848467i
\(681\) 11155.3 5372.13i 0.627714 0.302291i
\(682\) −1672.74 + 7328.76i −0.0939188 + 0.411485i
\(683\) 8673.07 4176.73i 0.485894 0.233994i −0.174865 0.984592i \(-0.555949\pi\)
0.660759 + 0.750598i \(0.270235\pi\)
\(684\) 3777.69 + 4737.07i 0.211175 + 0.264805i
\(685\) 744.127 0.0415060
\(686\) 2052.61 4904.64i 0.114241 0.272974i
\(687\) −32460.0 −1.80266
\(688\) 6802.55 + 8530.13i 0.376955 + 0.472686i
\(689\) 32175.0 15494.7i 1.77906 0.856749i
\(690\) 32.8408 143.885i 0.00181193 0.00793857i
\(691\) −19468.2 + 9375.40i −1.07179 + 0.516146i −0.884683 0.466194i \(-0.845625\pi\)
−0.187106 + 0.982340i \(0.559911\pi\)
\(692\) 22200.3 + 10691.1i 1.21955 + 0.587304i
\(693\) −13359.0 4975.31i −0.732272 0.272722i
\(694\) −4648.02 + 2238.37i −0.254231 + 0.122431i
\(695\) 1717.37 2153.51i 0.0937317 0.117536i
\(696\) −16926.3 8151.29i −0.921826 0.443928i
\(697\) 2288.70 + 2869.94i 0.124377 + 0.155964i
\(698\) 287.443 + 1259.37i 0.0155872 + 0.0682921i
\(699\) 27221.4 + 34134.5i 1.47297 + 1.84705i
\(700\) −5176.20 15795.1i −0.279488 0.852854i
\(701\) 8988.48 11271.2i 0.484294 0.607286i −0.478312 0.878190i \(-0.658751\pi\)
0.962606 + 0.270904i \(0.0873226\pi\)
\(702\) −4172.78 2009.51i −0.224347 0.108040i
\(703\) 3115.64 + 13650.5i 0.167153 + 0.732344i
\(704\) −14257.8 −0.763297
\(705\) −2260.67 −0.120769
\(706\) 1784.11 + 7816.71i 0.0951076 + 0.416694i
\(707\) −36650.9 + 3391.82i −1.94964 + 0.180428i
\(708\) −1745.71 + 7648.45i −0.0926663 + 0.405998i
\(709\) −219.629 + 962.259i −0.0116338 + 0.0509709i −0.980412 0.196959i \(-0.936893\pi\)
0.968778 + 0.247930i \(0.0797504\pi\)
\(710\) −462.481 + 579.933i −0.0244459 + 0.0306542i
\(711\) −8665.95 + 10866.8i −0.457101 + 0.573186i
\(712\) 3806.99 16679.5i 0.200383 0.877936i
\(713\) −706.025 + 3093.30i −0.0370839 + 0.162475i
\(714\) −1032.59 + 1572.91i −0.0541227 + 0.0824437i
\(715\) −1162.93 5095.12i −0.0608266 0.266499i
\(716\) −19983.6 −1.04305
\(717\) 16681.5 0.868873
\(718\) −2014.39 8825.63i −0.104703 0.458732i
\(719\) −972.630 468.394i −0.0504492 0.0242951i 0.408489 0.912763i \(-0.366056\pi\)
−0.458938 + 0.888468i \(0.651770\pi\)
\(720\) 602.435 755.430i 0.0311826 0.0391017i
\(721\) 17248.2 1596.22i 0.890924 0.0824496i
\(722\) −1786.04 2239.62i −0.0920630 0.115443i
\(723\) −7945.22 34810.3i −0.408694 1.79061i
\(724\) −15688.3 19672.5i −0.805321 1.00984i
\(725\) 25332.2 + 12199.3i 1.29768 + 0.624927i
\(726\) −5437.14 + 6817.96i −0.277949 + 0.348538i
\(727\) 15295.5 7365.92i 0.780300 0.375773i −0.000942846 1.00000i \(-0.500300\pi\)
0.781243 + 0.624227i \(0.214586\pi\)
\(728\) −11037.8 11486.6i −0.561937 0.584781i
\(729\) −1236.96 595.687i −0.0628439 0.0302640i
\(730\) 428.057 206.141i 0.0217029 0.0104516i
\(731\) −963.427 + 4221.05i −0.0487464 + 0.213572i
\(732\) 19117.6 9206.56i 0.965311 0.464869i
\(733\) 5973.64 + 7490.71i 0.301012 + 0.377457i 0.909217 0.416323i \(-0.136682\pi\)
−0.608205 + 0.793780i \(0.708110\pi\)
\(734\) −8681.56 −0.436570
\(735\) −3096.01 + 577.984i −0.155371 + 0.0290058i
\(736\) 2733.59 0.136904
\(737\) 5208.97 + 6531.84i 0.260346 + 0.326463i
\(738\) −2071.60 + 997.632i −0.103329 + 0.0497606i
\(739\) −709.526 + 3108.64i −0.0353185 + 0.154740i −0.989512 0.144449i \(-0.953859\pi\)
0.954194 + 0.299189i \(0.0967162\pi\)
\(740\) 2248.19 1082.67i 0.111683 0.0537836i
\(741\) −22760.9 10961.1i −1.12840 0.543408i
\(742\) −8205.92 + 759.408i −0.405995 + 0.0375724i
\(743\) −6526.63 + 3143.06i −0.322260 + 0.155192i −0.588018 0.808847i \(-0.700092\pi\)
0.265759 + 0.964040i \(0.414377\pi\)
\(744\) 8462.89 10612.1i 0.417022 0.522929i
\(745\) −4229.14 2036.64i −0.207978 0.100157i
\(746\) −566.050 709.805i −0.0277809 0.0348362i
\(747\) 1304.13 + 5713.78i 0.0638765 + 0.279861i
\(748\) −4680.87 5869.63i −0.228810 0.286918i
\(749\) 20122.8 12091.8i 0.981670 0.589884i
\(750\) 1188.11 1489.84i 0.0578447 0.0725349i
\(751\) −466.852 224.824i −0.0226840 0.0109240i 0.422507 0.906359i \(-0.361150\pi\)
−0.445191 + 0.895435i \(0.646864\pi\)
\(752\) −2612.04 11444.1i −0.126664 0.554952i
\(753\) 7255.88 0.351154
\(754\) 12856.7 0.620974
\(755\) 696.425 + 3051.24i 0.0335702 + 0.147081i
\(756\) −7716.37 8030.06i −0.371219 0.386310i
\(757\) 5596.74 24520.9i 0.268715 1.17732i −0.642795 0.766038i \(-0.722225\pi\)
0.911510 0.411278i \(-0.134918\pi\)
\(758\) −1022.68 + 4480.65i −0.0490044 + 0.214703i
\(759\) −4175.71 + 5236.17i −0.199695 + 0.250410i
\(760\) 669.861 839.979i 0.0319716 0.0400911i
\(761\) −1030.95 + 4516.90i −0.0491090 + 0.215161i −0.993529 0.113582i \(-0.963768\pi\)
0.944420 + 0.328742i \(0.106625\pi\)
\(762\) −224.205 + 982.306i −0.0106589 + 0.0466997i
\(763\) 4136.54 + 12622.6i 0.196269 + 0.598910i
\(764\) −2341.15 10257.3i −0.110864 0.485726i
\(765\) 383.431 0.0181215
\(766\) 3423.12 0.161465
\(767\) −2504.00 10970.7i −0.117880 0.516467i
\(768\) 5557.15 + 2676.18i 0.261102 + 0.125740i
\(769\) −17050.5 + 21380.6i −0.799552 + 1.00261i 0.200187 + 0.979758i \(0.435845\pi\)
−0.999739 + 0.0228489i \(0.992726\pi\)
\(770\) −158.873 +