Properties

Label 225.4.u.a.4.9
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.01603 - 4.78006i) q^{2} +(3.24528 + 4.05810i) q^{3} +(-14.5083 + 6.45951i) q^{4} +(-5.06856 - 9.96543i) q^{5} +(16.1007 - 19.6358i) q^{6} +(11.0356 - 6.37141i) q^{7} +(22.6385 + 31.1592i) q^{8} +(-5.93634 + 26.3393i) q^{9} +O(q^{10})\) \(q+(-1.01603 - 4.78006i) q^{2} +(3.24528 + 4.05810i) q^{3} +(-14.5083 + 6.45951i) q^{4} +(-5.06856 - 9.96543i) q^{5} +(16.1007 - 19.6358i) q^{6} +(11.0356 - 6.37141i) q^{7} +(22.6385 + 31.1592i) q^{8} +(-5.93634 + 26.3393i) q^{9} +(-42.4855 + 34.3532i) q^{10} +(-32.9215 + 6.99768i) q^{11} +(-73.2968 - 37.9132i) q^{12} +(-0.362239 + 1.70420i) q^{13} +(-41.6683 - 46.2773i) q^{14} +(23.9918 - 52.9093i) q^{15} +(40.9279 - 45.4550i) q^{16} +(-75.1732 - 103.467i) q^{17} +(131.935 + 1.61445i) q^{18} +(-93.2835 + 67.7744i) q^{19} +(137.908 + 111.841i) q^{20} +(61.6694 + 24.1066i) q^{21} +(66.8987 + 150.257i) q^{22} +(42.4892 - 38.2575i) q^{23} +(-52.9789 + 192.989i) q^{24} +(-73.6195 + 101.021i) q^{25} +8.51424 q^{26} +(-126.153 + 61.3882i) q^{27} +(-118.952 + 163.723i) q^{28} +(-19.2512 + 183.163i) q^{29} +(-277.286 - 60.9248i) q^{30} +(6.00277 + 57.1125i) q^{31} +(7.97669 + 4.60535i) q^{32} +(-135.237 - 110.889i) q^{33} +(-418.200 + 464.459i) q^{34} +(-119.428 - 77.6807i) q^{35} +(-84.0130 - 420.485i) q^{36} +(2.72181 - 0.884371i) q^{37} +(418.745 + 377.040i) q^{38} +(-8.09139 + 4.06061i) q^{39} +(195.770 - 383.534i) q^{40} +(5.01337 + 1.06563i) q^{41} +(52.5728 - 319.277i) q^{42} +(-177.427 + 102.437i) q^{43} +(432.433 - 314.181i) q^{44} +(292.571 - 74.3441i) q^{45} +(-226.044 - 164.230i) q^{46} +(212.010 + 22.2832i) q^{47} +(317.283 + 18.5752i) q^{48} +(-90.3103 + 156.422i) q^{49} +(557.685 + 249.265i) q^{50} +(175.922 - 640.840i) q^{51} +(-5.75284 - 27.0650i) q^{52} +(180.887 - 248.969i) q^{53} +(421.615 + 540.645i) q^{54} +(236.599 + 292.608i) q^{55} +(448.357 + 199.621i) q^{56} +(-577.766 - 158.607i) q^{57} +(895.088 - 94.0776i) q^{58} +(-775.710 - 164.882i) q^{59} +(-6.31244 + 922.600i) q^{60} +(429.154 - 91.2195i) q^{61} +(266.902 - 86.7218i) q^{62} +(102.307 + 328.493i) q^{63} +(165.119 - 508.185i) q^{64} +(18.8191 - 5.02797i) q^{65} +(-392.652 + 759.107i) q^{66} +(-337.608 + 35.4840i) q^{67} +(1758.98 + 1015.55i) q^{68} +(293.142 + 48.2694i) q^{69} +(-249.975 + 649.801i) q^{70} +(-772.072 - 560.943i) q^{71} +(-955.101 + 411.310i) q^{72} +(-781.736 - 254.001i) q^{73} +(-6.99280 - 12.1119i) q^{74} +(-648.868 + 29.0849i) q^{75} +(915.595 - 1585.86i) q^{76} +(-318.723 + 286.980i) q^{77} +(27.6311 + 34.5516i) q^{78} +(91.6746 - 872.226i) q^{79} +(-660.424 - 177.473i) q^{80} +(-658.520 - 312.718i) q^{81} -25.0470i q^{82} +(-107.135 + 240.629i) q^{83} +(-1050.44 + 48.6087i) q^{84} +(-650.074 + 1273.56i) q^{85} +(669.928 + 744.031i) q^{86} +(-805.767 + 516.290i) q^{87} +(-963.333 - 867.389i) q^{88} +(359.133 - 1105.30i) q^{89} +(-652.632 - 1322.97i) q^{90} +(6.86064 + 21.1149i) q^{91} +(-369.322 + 829.511i) q^{92} +(-212.288 + 209.706i) q^{93} +(-108.895 - 1036.06i) q^{94} +(1148.21 + 586.091i) q^{95} +(7.19764 + 47.3158i) q^{96} +(1333.35 + 140.141i) q^{97} +(839.465 + 272.759i) q^{98} +(11.1191 - 908.670i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.01603 4.78006i −0.359222 1.69001i −0.672299 0.740280i \(-0.734693\pi\)
0.313077 0.949728i \(-0.398640\pi\)
\(3\) 3.24528 + 4.05810i 0.624554 + 0.780982i
\(4\) −14.5083 + 6.45951i −1.81354 + 0.807439i
\(5\) −5.06856 9.96543i −0.453345 0.891335i
\(6\) 16.1007 19.6358i 1.09551 1.33605i
\(7\) 11.0356 6.37141i 0.595867 0.344024i −0.171547 0.985176i \(-0.554877\pi\)
0.767414 + 0.641152i \(0.221543\pi\)
\(8\) 22.6385 + 31.1592i 1.00049 + 1.37705i
\(9\) −5.93634 + 26.3393i −0.219864 + 0.975530i
\(10\) −42.4855 + 34.3532i −1.34351 + 1.08634i
\(11\) −32.9215 + 6.99768i −0.902382 + 0.191807i −0.635662 0.771967i \(-0.719273\pi\)
−0.266719 + 0.963774i \(0.585940\pi\)
\(12\) −73.2968 37.9132i −1.76325 0.912051i
\(13\) −0.362239 + 1.70420i −0.00772824 + 0.0363585i −0.981843 0.189697i \(-0.939250\pi\)
0.974115 + 0.226055i \(0.0725829\pi\)
\(14\) −41.6683 46.2773i −0.795451 0.883438i
\(15\) 23.9918 52.9093i 0.412977 0.910741i
\(16\) 40.9279 45.4550i 0.639498 0.710235i
\(17\) −75.1732 103.467i −1.07248 1.47614i −0.867539 0.497369i \(-0.834299\pi\)
−0.204942 0.978774i \(-0.565701\pi\)
\(18\) 131.935 + 1.61445i 1.72763 + 0.0211405i
\(19\) −93.2835 + 67.7744i −1.12635 + 0.818343i −0.985160 0.171639i \(-0.945094\pi\)
−0.141193 + 0.989982i \(0.545094\pi\)
\(20\) 137.908 + 111.841i 1.54186 + 1.25042i
\(21\) 61.6694 + 24.1066i 0.640827 + 0.250499i
\(22\) 66.8987 + 150.257i 0.648311 + 1.45613i
\(23\) 42.4892 38.2575i 0.385201 0.346836i −0.453667 0.891171i \(-0.649885\pi\)
0.838868 + 0.544335i \(0.183218\pi\)
\(24\) −52.9789 + 192.989i −0.450595 + 1.64141i
\(25\) −73.6195 + 101.021i −0.588956 + 0.808165i
\(26\) 8.51424 0.0642223
\(27\) −126.153 + 61.3882i −0.899189 + 0.437561i
\(28\) −118.952 + 163.723i −0.802849 + 1.10503i
\(29\) −19.2512 + 183.163i −0.123271 + 1.17284i 0.741598 + 0.670844i \(0.234068\pi\)
−0.864869 + 0.501998i \(0.832598\pi\)
\(30\) −277.286 60.9248i −1.68751 0.370777i
\(31\) 6.00277 + 57.1125i 0.0347783 + 0.330894i 0.998053 + 0.0623750i \(0.0198675\pi\)
−0.963274 + 0.268519i \(0.913466\pi\)
\(32\) 7.97669 + 4.60535i 0.0440654 + 0.0254412i
\(33\) −135.237 110.889i −0.713384 0.584950i
\(34\) −418.200 + 464.459i −2.10943 + 2.34276i
\(35\) −119.428 77.6807i −0.576774 0.375155i
\(36\) −84.0130 420.485i −0.388949 1.94669i
\(37\) 2.72181 0.884371i 0.0120936 0.00392945i −0.302964 0.953002i \(-0.597976\pi\)
0.315058 + 0.949073i \(0.397976\pi\)
\(38\) 418.745 + 377.040i 1.78762 + 1.60958i
\(39\) −8.09139 + 4.06061i −0.0332220 + 0.0166722i
\(40\) 195.770 383.534i 0.773849 1.51605i
\(41\) 5.01337 + 1.06563i 0.0190965 + 0.00405909i 0.217450 0.976071i \(-0.430226\pi\)
−0.198354 + 0.980131i \(0.563559\pi\)
\(42\) 52.5728 319.277i 0.193147 1.17299i
\(43\) −177.427 + 102.437i −0.629240 + 0.363292i −0.780458 0.625209i \(-0.785014\pi\)
0.151218 + 0.988500i \(0.451681\pi\)
\(44\) 432.433 314.181i 1.48163 1.07647i
\(45\) 292.571 74.3441i 0.969199 0.246279i
\(46\) −226.044 164.230i −0.724528 0.526401i
\(47\) 212.010 + 22.2832i 0.657976 + 0.0691560i 0.427631 0.903953i \(-0.359348\pi\)
0.230344 + 0.973109i \(0.426015\pi\)
\(48\) 317.283 + 18.5752i 0.954082 + 0.0558564i
\(49\) −90.3103 + 156.422i −0.263295 + 0.456041i
\(50\) 557.685 + 249.265i 1.57737 + 0.705029i
\(51\) 175.922 640.840i 0.483019 1.75952i
\(52\) −5.75284 27.0650i −0.0153418 0.0721776i
\(53\) 180.887 248.969i 0.468806 0.645256i −0.507500 0.861652i \(-0.669430\pi\)
0.976306 + 0.216396i \(0.0694302\pi\)
\(54\) 421.615 + 540.645i 1.06249 + 1.36245i
\(55\) 236.599 + 292.608i 0.580055 + 0.717369i
\(56\) 448.357 + 199.621i 1.06990 + 0.476349i
\(57\) −577.766 158.607i −1.34258 0.368561i
\(58\) 895.088 94.0776i 2.02639 0.212983i
\(59\) −775.710 164.882i −1.71167 0.363828i −0.755167 0.655533i \(-0.772444\pi\)
−0.956508 + 0.291705i \(0.905777\pi\)
\(60\) −6.31244 + 922.600i −0.0135822 + 1.98512i
\(61\) 429.154 91.2195i 0.900779 0.191467i 0.265830 0.964020i \(-0.414354\pi\)
0.634950 + 0.772553i \(0.281021\pi\)
\(62\) 266.902 86.7218i 0.546720 0.177640i
\(63\) 102.307 + 328.493i 0.204596 + 0.656925i
\(64\) 165.119 508.185i 0.322499 0.992549i
\(65\) 18.8191 5.02797i 0.0359112 0.00959451i
\(66\) −392.652 + 759.107i −0.732306 + 1.41575i
\(67\) −337.608 + 35.4840i −0.615603 + 0.0647025i −0.407198 0.913340i \(-0.633494\pi\)
−0.208405 + 0.978043i \(0.566827\pi\)
\(68\) 1758.98 + 1015.55i 3.13688 + 1.81108i
\(69\) 293.142 + 48.2694i 0.511451 + 0.0842166i
\(70\) −249.975 + 649.801i −0.426825 + 1.10952i
\(71\) −772.072 560.943i −1.29054 0.937629i −0.290720 0.956808i \(-0.593895\pi\)
−0.999816 + 0.0191788i \(0.993895\pi\)
\(72\) −955.101 + 411.310i −1.56333 + 0.673241i
\(73\) −781.736 254.001i −1.25336 0.407241i −0.394236 0.919009i \(-0.628991\pi\)
−0.859124 + 0.511768i \(0.828991\pi\)
\(74\) −6.99280 12.1119i −0.0109851 0.0190267i
\(75\) −648.868 + 29.0849i −0.998997 + 0.0447791i
\(76\) 915.595 1585.86i 1.38192 2.39356i
\(77\) −318.723 + 286.980i −0.471713 + 0.424732i
\(78\) 27.6311 + 34.5516i 0.0401103 + 0.0501564i
\(79\) 91.6746 872.226i 0.130559 1.24219i −0.711453 0.702733i \(-0.751963\pi\)
0.842013 0.539457i \(-0.181371\pi\)
\(80\) −660.424 177.473i −0.922971 0.248025i
\(81\) −658.520 312.718i −0.903319 0.428969i
\(82\) 25.0470i 0.0337314i
\(83\) −107.135 + 240.629i −0.141682 + 0.318222i −0.970423 0.241409i \(-0.922390\pi\)
0.828742 + 0.559631i \(0.189057\pi\)
\(84\) −1050.44 + 48.6087i −1.36443 + 0.0631387i
\(85\) −650.074 + 1273.56i −0.829534 + 1.62514i
\(86\) 669.928 + 744.031i 0.840003 + 0.932918i
\(87\) −805.767 + 516.290i −0.992958 + 0.636231i
\(88\) −963.333 867.389i −1.16695 1.05073i
\(89\) 359.133 1105.30i 0.427731 1.31642i −0.472624 0.881264i \(-0.656693\pi\)
0.900355 0.435156i \(-0.143307\pi\)
\(90\) −652.632 1322.97i −0.764372 1.54948i
\(91\) 6.86064 + 21.1149i 0.00790319 + 0.0243235i
\(92\) −369.322 + 829.511i −0.418527 + 0.940027i
\(93\) −212.288 + 209.706i −0.236701 + 0.233822i
\(94\) −108.895 1036.06i −0.119485 1.13683i
\(95\) 1148.21 + 586.091i 1.24004 + 0.632965i
\(96\) 7.19764 + 47.3158i 0.00765214 + 0.0503037i
\(97\) 1333.35 + 140.141i 1.39568 + 0.146692i 0.772316 0.635239i \(-0.219098\pi\)
0.623365 + 0.781931i \(0.285765\pi\)
\(98\) 839.465 + 272.759i 0.865294 + 0.281151i
\(99\) 11.1191 908.670i 0.0112880 0.922472i
\(100\) 415.550 1941.18i 0.415550 1.94118i
\(101\) 714.515 + 1237.58i 0.703930 + 1.21924i 0.967076 + 0.254486i \(0.0819064\pi\)
−0.263146 + 0.964756i \(0.584760\pi\)
\(102\) −3242.00 189.801i −3.14711 0.184247i
\(103\) −532.754 1196.59i −0.509649 1.14469i −0.966854 0.255329i \(-0.917816\pi\)
0.457205 0.889361i \(-0.348850\pi\)
\(104\) −61.3020 + 27.2934i −0.0577996 + 0.0257340i
\(105\) −72.3424 736.748i −0.0672371 0.684754i
\(106\) −1373.88 611.689i −1.25889 0.560495i
\(107\) 967.708i 0.874317i 0.899385 + 0.437158i \(0.144015\pi\)
−0.899385 + 0.437158i \(0.855985\pi\)
\(108\) 1433.72 1705.52i 1.27741 1.51957i
\(109\) −440.117 1354.54i −0.386748 1.19029i −0.935204 0.354109i \(-0.884784\pi\)
0.548456 0.836179i \(-0.315216\pi\)
\(110\) 1158.29 1428.26i 1.00399 1.23799i
\(111\) 12.4219 + 8.17536i 0.0106219 + 0.00699073i
\(112\) 162.051 762.392i 0.136718 0.643208i
\(113\) 135.812 638.944i 0.113063 0.531919i −0.884765 0.466038i \(-0.845681\pi\)
0.997828 0.0658808i \(-0.0209857\pi\)
\(114\) −171.121 + 2922.91i −0.140587 + 2.40136i
\(115\) −596.611 229.513i −0.483776 0.186106i
\(116\) −903.839 2781.73i −0.723443 2.22653i
\(117\) −42.7371 19.6579i −0.0337697 0.0155331i
\(118\) 3875.47i 3.02344i
\(119\) −1488.81 662.862i −1.14688 0.510626i
\(120\) 2191.75 450.219i 1.66732 0.342494i
\(121\) −181.073 + 80.6188i −0.136043 + 0.0605701i
\(122\) −872.070 1958.70i −0.647160 1.45354i
\(123\) 11.9454 + 23.8030i 0.00875674 + 0.0174492i
\(124\) −456.009 789.831i −0.330249 0.572007i
\(125\) 1379.86 + 221.621i 0.987346 + 0.158579i
\(126\) 1466.27 822.796i 1.03671 0.581750i
\(127\) −510.764 165.957i −0.356874 0.115955i 0.125092 0.992145i \(-0.460077\pi\)
−0.481966 + 0.876190i \(0.660077\pi\)
\(128\) −2523.64 265.245i −1.74266 0.183161i
\(129\) −991.500 387.577i −0.676719 0.264529i
\(130\) −43.1549 84.8480i −0.0291149 0.0572436i
\(131\) 73.9516 + 703.602i 0.0493220 + 0.469267i 0.991109 + 0.133056i \(0.0424790\pi\)
−0.941787 + 0.336211i \(0.890854\pi\)
\(132\) 2678.35 + 735.252i 1.76606 + 0.484814i
\(133\) −597.621 + 1342.28i −0.389626 + 0.875115i
\(134\) 512.637 + 1577.73i 0.330486 + 1.01713i
\(135\) 1251.17 + 946.016i 0.797657 + 0.603112i
\(136\) 1522.14 4684.67i 0.959724 2.95373i
\(137\) −1572.31 1415.71i −0.980519 0.882863i 0.0126060 0.999921i \(-0.495987\pi\)
−0.993125 + 0.117057i \(0.962654\pi\)
\(138\) −67.1115 1450.28i −0.0413979 0.894609i
\(139\) 952.874 + 1058.27i 0.581451 + 0.645767i 0.960062 0.279789i \(-0.0902645\pi\)
−0.378610 + 0.925556i \(0.623598\pi\)
\(140\) 2234.48 + 355.566i 1.34892 + 0.214648i
\(141\) 597.605 + 932.673i 0.356932 + 0.557059i
\(142\) −1896.89 + 4260.49i −1.12101 + 2.51783i
\(143\) 58.6397i 0.0342916i
\(144\) 954.293 + 1347.85i 0.552253 + 0.780005i
\(145\) 1922.87 736.524i 1.10128 0.421827i
\(146\) −419.873 + 3994.82i −0.238006 + 2.26448i
\(147\) −927.858 + 141.145i −0.520602 + 0.0791934i
\(148\) −33.7763 + 30.4123i −0.0187594 + 0.0168911i
\(149\) 1155.02 2000.56i 0.635055 1.09995i −0.351448 0.936207i \(-0.614311\pi\)
0.986503 0.163741i \(-0.0523561\pi\)
\(150\) 798.299 + 3072.08i 0.434539 + 1.67223i
\(151\) −443.864 768.795i −0.239213 0.414329i 0.721276 0.692648i \(-0.243556\pi\)
−0.960489 + 0.278319i \(0.910223\pi\)
\(152\) −4223.59 1372.33i −2.25380 0.732305i
\(153\) 3171.50 1365.80i 1.67582 0.721686i
\(154\) 1695.61 + 1231.94i 0.887250 + 0.644625i
\(155\) 538.725 349.298i 0.279171 0.181008i
\(156\) 91.1628 111.179i 0.0467876 0.0570605i
\(157\) 2371.06 + 1368.93i 1.20529 + 0.695876i 0.961727 0.274008i \(-0.0883495\pi\)
0.243566 + 0.969884i \(0.421683\pi\)
\(158\) −4262.44 + 448.000i −2.14621 + 0.225576i
\(159\) 1597.37 73.9181i 0.796728 0.0368684i
\(160\) 5.46393 102.834i 0.00269976 0.0508107i
\(161\) 225.140 692.910i 0.110208 0.339186i
\(162\) −825.735 + 3465.50i −0.400468 + 1.68071i
\(163\) −1916.04 + 622.560i −0.920712 + 0.299157i −0.730759 0.682636i \(-0.760834\pi\)
−0.189953 + 0.981793i \(0.560834\pi\)
\(164\) −79.6190 + 16.9235i −0.0379098 + 0.00805797i
\(165\) −419.604 + 1909.74i −0.197977 + 0.901048i
\(166\) 1259.07 + 267.624i 0.588692 + 0.125130i
\(167\) −2427.39 + 255.129i −1.12477 + 0.118218i −0.648597 0.761132i \(-0.724644\pi\)
−0.476176 + 0.879350i \(0.657977\pi\)
\(168\) 644.959 + 2467.30i 0.296189 + 1.13307i
\(169\) 2004.29 + 892.366i 0.912283 + 0.406175i
\(170\) 6748.20 + 1813.41i 3.04449 + 0.818131i
\(171\) −1231.37 2859.36i −0.550673 1.27872i
\(172\) 1912.47 2632.28i 0.847815 1.16692i
\(173\) 168.711 + 793.722i 0.0741436 + 0.348818i 0.999545 0.0301708i \(-0.00960511\pi\)
−0.925401 + 0.378989i \(0.876272\pi\)
\(174\) 3286.59 + 3327.05i 1.43193 + 1.44956i
\(175\) −168.792 + 1583.88i −0.0729111 + 0.684173i
\(176\) −1029.33 + 1782.85i −0.440843 + 0.763563i
\(177\) −1848.29 3683.00i −0.784891 1.56402i
\(178\) −5648.29 593.659i −2.37841 0.249981i
\(179\) 1315.46 + 955.739i 0.549286 + 0.399080i 0.827522 0.561433i \(-0.189750\pi\)
−0.278236 + 0.960513i \(0.589750\pi\)
\(180\) −3764.49 + 2968.48i −1.55882 + 1.22921i
\(181\) 1483.57 1077.87i 0.609240 0.442639i −0.239906 0.970796i \(-0.577117\pi\)
0.849147 + 0.528157i \(0.177117\pi\)
\(182\) 93.9598 54.2477i 0.0382679 0.0220940i
\(183\) 1762.90 + 1445.52i 0.712117 + 0.583911i
\(184\) 2153.96 + 457.839i 0.863001 + 0.183436i
\(185\) −22.6088 22.6415i −0.00898503 0.00899805i
\(186\) 1218.10 + 801.680i 0.480190 + 0.316032i
\(187\) 3198.84 + 2880.25i 1.25092 + 1.12634i
\(188\) −3219.85 + 1046.19i −1.24910 + 0.405858i
\(189\) −1001.04 + 1481.23i −0.385265 + 0.570070i
\(190\) 1634.93 6084.02i 0.624264 2.32306i
\(191\) 386.310 429.040i 0.146348 0.162535i −0.665514 0.746385i \(-0.731788\pi\)
0.811862 + 0.583850i \(0.198454\pi\)
\(192\) 2598.12 979.131i 0.976580 0.368035i
\(193\) 858.595 + 495.710i 0.320223 + 0.184881i 0.651492 0.758656i \(-0.274143\pi\)
−0.331269 + 0.943536i \(0.607477\pi\)
\(194\) −684.846 6515.88i −0.253449 2.41141i
\(195\) 81.4773 + 60.0527i 0.0299216 + 0.0220537i
\(196\) 299.839 2852.78i 0.109271 1.03964i
\(197\) 2379.87 3275.61i 0.860705 1.18466i −0.120696 0.992690i \(-0.538513\pi\)
0.981401 0.191969i \(-0.0614874\pi\)
\(198\) −4354.80 + 870.089i −1.56304 + 0.312296i
\(199\) −1807.82 −0.643985 −0.321993 0.946742i \(-0.604353\pi\)
−0.321993 + 0.946742i \(0.604353\pi\)
\(200\) −4814.35 6.97002i −1.70213 0.00246427i
\(201\) −1239.63 1254.89i −0.435009 0.440364i
\(202\) 5189.72 4672.85i 1.80766 1.62763i
\(203\) 954.555 + 2143.97i 0.330033 + 0.741266i
\(204\) 1587.19 + 10433.9i 0.544732 + 3.58096i
\(205\) −14.7912 55.3616i −0.00503931 0.0188616i
\(206\) −5178.46 + 3762.37i −1.75146 + 1.27251i
\(207\) 755.445 + 1346.25i 0.253657 + 0.452032i
\(208\) 62.6389 + 86.2150i 0.0208809 + 0.0287401i
\(209\) 2596.77 2884.00i 0.859436 0.954500i
\(210\) −3448.20 + 1094.36i −1.13309 + 0.359610i
\(211\) −1840.70 2044.31i −0.600566 0.666996i 0.363828 0.931466i \(-0.381470\pi\)
−0.964394 + 0.264470i \(0.914803\pi\)
\(212\) −1016.14 + 4780.57i −0.329193 + 1.54873i
\(213\) −229.225 4953.56i −0.0737383 1.59349i
\(214\) 4625.71 983.224i 1.47760 0.314074i
\(215\) 1920.13 + 1248.92i 0.609078 + 0.396167i
\(216\) −4768.71 2541.08i −1.50217 0.800456i
\(217\) 430.131 + 592.025i 0.134559 + 0.185204i
\(218\) −6027.61 + 3480.04i −1.87267 + 1.08118i
\(219\) −1506.19 3996.67i −0.464743 1.23320i
\(220\) −5322.76 2716.94i −1.63118 0.832618i
\(221\) 203.559 90.6305i 0.0619588 0.0275858i
\(222\) 26.4577 67.6839i 0.00799875 0.0204624i
\(223\) 868.965 + 4088.16i 0.260943 + 1.22764i 0.892048 + 0.451941i \(0.149268\pi\)
−0.631105 + 0.775697i \(0.717398\pi\)
\(224\) 117.370 0.0350095
\(225\) −2223.78 2538.78i −0.658899 0.752231i
\(226\) −3192.18 −0.939561
\(227\) −941.377 4428.83i −0.275249 1.29494i −0.870805 0.491629i \(-0.836402\pi\)
0.595556 0.803314i \(-0.296932\pi\)
\(228\) 9406.93 1430.97i 2.73241 0.415651i
\(229\) 278.714 124.092i 0.0804278 0.0358088i −0.366128 0.930564i \(-0.619317\pi\)
0.446556 + 0.894756i \(0.352650\pi\)
\(230\) −490.910 + 3085.03i −0.140738 + 0.884439i
\(231\) −2198.94 362.082i −0.626318 0.103131i
\(232\) −6143.01 + 3546.67i −1.73840 + 1.00366i
\(233\) −1629.89 2243.36i −0.458274 0.630761i 0.515875 0.856664i \(-0.327467\pi\)
−0.974150 + 0.225903i \(0.927467\pi\)
\(234\) −50.5434 + 224.259i −0.0141202 + 0.0626508i
\(235\) −852.524 2225.72i −0.236649 0.617828i
\(236\) 12319.3 2618.55i 3.39796 0.722258i
\(237\) 3837.09 2458.59i 1.05167 0.673851i
\(238\) −1655.84 + 7790.11i −0.450975 + 2.12167i
\(239\) 1707.42 + 1896.28i 0.462108 + 0.513223i 0.928488 0.371361i \(-0.121109\pi\)
−0.466380 + 0.884584i \(0.654442\pi\)
\(240\) −1423.06 3256.01i −0.382742 0.875728i
\(241\) −3473.22 + 3857.40i −0.928339 + 1.03102i 0.0710983 + 0.997469i \(0.477350\pi\)
−0.999437 + 0.0335551i \(0.989317\pi\)
\(242\) 569.339 + 783.628i 0.151233 + 0.208155i
\(243\) −868.037 3687.20i −0.229155 0.973390i
\(244\) −5637.07 + 4095.57i −1.47900 + 1.07456i
\(245\) 2016.56 + 107.147i 0.525849 + 0.0279403i
\(246\) 101.643 81.2843i 0.0263436 0.0210671i
\(247\) −81.7103 183.524i −0.0210490 0.0472768i
\(248\) −1643.68 + 1479.98i −0.420863 + 0.378947i
\(249\) −1324.18 + 346.143i −0.337013 + 0.0880961i
\(250\) −342.621 6820.98i −0.0866770 1.72559i
\(251\) −1322.74 −0.332631 −0.166316 0.986073i \(-0.553187\pi\)
−0.166316 + 0.986073i \(0.553187\pi\)
\(252\) −3606.21 4105.02i −0.901469 1.02616i
\(253\) −1131.09 + 1556.82i −0.281072 + 0.386863i
\(254\) −274.333 + 2610.10i −0.0677684 + 0.644773i
\(255\) −7277.91 + 1495.00i −1.78730 + 0.367139i
\(256\) 849.387 + 8081.38i 0.207370 + 1.97299i
\(257\) 3561.44 + 2056.20i 0.864422 + 0.499074i 0.865490 0.500925i \(-0.167007\pi\)
−0.00106882 + 0.999999i \(0.500340\pi\)
\(258\) −845.247 + 5133.22i −0.203964 + 1.23868i
\(259\) 24.4022 27.1013i 0.00585435 0.00650191i
\(260\) −240.555 + 194.510i −0.0573793 + 0.0463961i
\(261\) −4710.10 1594.38i −1.11704 0.378121i
\(262\) 3288.12 1068.38i 0.775347 0.251926i
\(263\) 3923.37 + 3532.62i 0.919869 + 0.828254i 0.985515 0.169589i \(-0.0542441\pi\)
−0.0656459 + 0.997843i \(0.520911\pi\)
\(264\) 393.667 6724.22i 0.0917748 1.56760i
\(265\) −3397.92 540.700i −0.787670 0.125339i
\(266\) 7023.38 + 1492.87i 1.61891 + 0.344111i
\(267\) 5650.90 2129.60i 1.29524 0.488126i
\(268\) 4668.91 2695.60i 1.06418 0.614402i
\(269\) −6151.12 + 4469.05i −1.39420 + 1.01295i −0.398813 + 0.917032i \(0.630578\pi\)
−0.995390 + 0.0959146i \(0.969422\pi\)
\(270\) 3250.78 6941.86i 0.732727 1.56470i
\(271\) −2075.24 1507.75i −0.465172 0.337967i 0.330385 0.943846i \(-0.392821\pi\)
−0.795557 + 0.605879i \(0.792821\pi\)
\(272\) −7779.78 817.687i −1.73426 0.182278i
\(273\) −63.4216 + 96.3648i −0.0140602 + 0.0213636i
\(274\) −5169.67 + 8954.13i −1.13982 + 1.97423i
\(275\) 1716.75 3840.91i 0.376451 0.842239i
\(276\) −4564.79 + 1193.25i −0.995536 + 0.260236i
\(277\) −529.025 2488.87i −0.114751 0.539861i −0.997541 0.0700923i \(-0.977671\pi\)
0.882790 0.469769i \(-0.155663\pi\)
\(278\) 4090.46 5630.04i 0.882481 1.21463i
\(279\) −1539.94 180.931i −0.330443 0.0388245i
\(280\) −283.210 5479.86i −0.0604465 1.16959i
\(281\) −2329.40 1037.12i −0.494521 0.220175i 0.144295 0.989535i \(-0.453909\pi\)
−0.638815 + 0.769360i \(0.720575\pi\)
\(282\) 3851.05 3804.21i 0.813215 0.803325i
\(283\) 5156.41 541.961i 1.08310 0.113838i 0.453877 0.891064i \(-0.350040\pi\)
0.629222 + 0.777226i \(0.283374\pi\)
\(284\) 14824.9 + 3151.12i 3.09752 + 0.658397i
\(285\) 1347.85 + 6561.59i 0.280140 + 1.36377i
\(286\) −280.301 + 59.5799i −0.0579530 + 0.0123183i
\(287\) 62.1152 20.1824i 0.0127754 0.00415098i
\(288\) −168.654 + 182.762i −0.0345071 + 0.0373935i
\(289\) −3536.22 + 10883.4i −0.719767 + 2.21522i
\(290\) −5474.33 8443.10i −1.10850 1.70964i
\(291\) 3758.38 + 5865.66i 0.757114 + 1.18162i
\(292\) 12982.4 1364.50i 2.60184 0.273464i
\(293\) −8029.78 4636.00i −1.60104 0.924361i −0.991280 0.131776i \(-0.957932\pi\)
−0.609761 0.792585i \(-0.708735\pi\)
\(294\) 1617.42 + 4291.81i 0.320849 + 0.851373i
\(295\) 2288.61 + 8565.99i 0.451688 + 1.69062i
\(296\) 89.1739 + 64.7886i 0.0175106 + 0.0127222i
\(297\) 3723.56 2903.76i 0.727484 0.567318i
\(298\) −10736.3 3488.45i −2.08705 0.678122i
\(299\) 49.8072 + 86.2686i 0.00963352 + 0.0166858i
\(300\) 9226.10 4613.34i 1.77556 0.887838i
\(301\) −1305.34 + 2260.92i −0.249962 + 0.432947i
\(302\) −3223.91 + 2902.82i −0.614288 + 0.553108i
\(303\) −2703.41 + 6915.85i −0.512564 + 1.31124i
\(304\) −737.208 + 7014.07i −0.139085 + 1.32330i
\(305\) −3084.23 3814.35i −0.579025 0.716096i
\(306\) −9750.94 13772.3i −1.82165 2.57291i
\(307\) 1790.55i 0.332874i 0.986052 + 0.166437i \(0.0532262\pi\)
−0.986052 + 0.166437i \(0.946774\pi\)
\(308\) 2770.39 6222.39i 0.512524 1.15115i
\(309\) 3126.93 6045.22i 0.575679 1.11295i
\(310\) −2217.03 2220.24i −0.406190 0.406778i
\(311\) −4038.79 4485.54i −0.736396 0.817850i 0.252322 0.967643i \(-0.418806\pi\)
−0.988717 + 0.149793i \(0.952139\pi\)
\(312\) −309.702 160.195i −0.0561968 0.0290681i
\(313\) 5868.73 + 5284.23i 1.05981 + 0.954256i 0.999036 0.0438954i \(-0.0139768\pi\)
0.0607727 + 0.998152i \(0.480644\pi\)
\(314\) 4134.50 12724.7i 0.743068 2.28693i
\(315\) 2755.02 2684.52i 0.492787 0.480177i
\(316\) 4304.11 + 13246.7i 0.766219 + 2.35818i
\(317\) −4141.71 + 9302.44i −0.733823 + 1.64819i 0.0273347 + 0.999626i \(0.491298\pi\)
−0.761158 + 0.648567i \(0.775369\pi\)
\(318\) −1976.32 7560.43i −0.348510 1.33323i
\(319\) −647.936 6164.70i −0.113722 1.08200i
\(320\) −5901.20 + 930.280i −1.03090 + 0.162513i
\(321\) −3927.06 + 3140.48i −0.682825 + 0.546058i
\(322\) −3540.90 372.164i −0.612817 0.0644096i
\(323\) 14024.8 + 4556.94i 2.41598 + 0.785000i
\(324\) 11574.0 + 283.297i 1.98457 + 0.0485763i
\(325\) −145.492 162.056i −0.0248321 0.0276593i
\(326\) 4922.64 + 8526.26i 0.836318 + 1.44855i
\(327\) 4068.56 6181.89i 0.688048 1.04544i
\(328\) 80.2911 + 180.337i 0.0135163 + 0.0303580i
\(329\) 2481.64 1104.90i 0.415857 0.185151i
\(330\) 9555.00 + 65.3755i 1.59390 + 0.0109055i
\(331\) 8384.68 + 3733.10i 1.39234 + 0.619908i 0.959537 0.281582i \(-0.0908590\pi\)
0.432800 + 0.901490i \(0.357526\pi\)
\(332\) 4183.15i 0.691507i
\(333\) 7.13611 + 76.9406i 0.00117434 + 0.0126616i
\(334\) 3685.84 + 11343.9i 0.603833 + 1.85841i
\(335\) 2064.80 + 3184.56i 0.336752 + 0.519376i
\(336\) 3619.76 1816.55i 0.587721 0.294944i
\(337\) 361.514 1700.79i 0.0584361 0.274920i −0.939223 0.343308i \(-0.888452\pi\)
0.997659 + 0.0683884i \(0.0217857\pi\)
\(338\) 2229.14 10487.3i 0.358726 1.68767i
\(339\) 3033.65 1522.41i 0.486033 0.243912i
\(340\) 1204.88 22676.4i 0.192188 3.61706i
\(341\) −597.275 1838.22i −0.0948511 0.291922i
\(342\) −12416.8 + 8791.22i −1.96322 + 1.38999i
\(343\) 6672.40i 1.05037i
\(344\) −7208.53 3209.44i −1.12982 0.503028i
\(345\) −1004.78 3165.94i −0.156799 0.494054i
\(346\) 3622.63 1612.90i 0.562871 0.250607i
\(347\) 516.133 + 1159.25i 0.0798486 + 0.179343i 0.949058 0.315101i \(-0.102038\pi\)
−0.869210 + 0.494444i \(0.835372\pi\)
\(348\) 8355.33 12695.4i 1.28705 1.95558i
\(349\) −5733.32 9930.41i −0.879363 1.52310i −0.852041 0.523475i \(-0.824635\pi\)
−0.0273226 0.999627i \(-0.508698\pi\)
\(350\) 7742.56 802.444i 1.18245 0.122550i
\(351\) −58.9204 237.227i −0.00895993 0.0360747i
\(352\) −294.831 95.7965i −0.0446436 0.0145056i
\(353\) −9339.32 981.602i −1.40816 0.148004i −0.630259 0.776385i \(-0.717051\pi\)
−0.777905 + 0.628381i \(0.783718\pi\)
\(354\) −15727.0 + 12577.0i −2.36125 + 1.88830i
\(355\) −1676.75 + 10537.2i −0.250683 + 1.57537i
\(356\) 1929.28 + 18355.8i 0.287223 + 2.73275i
\(357\) −2141.65 8192.92i −0.317502 1.21461i
\(358\) 3231.94 7259.05i 0.477132 1.07166i
\(359\) −651.400 2004.80i −0.0957648 0.294734i 0.891687 0.452652i \(-0.149522\pi\)
−0.987452 + 0.157918i \(0.949522\pi\)
\(360\) 8939.86 + 7433.24i 1.30881 + 1.08824i
\(361\) 1988.89 6121.17i 0.289968 0.892428i
\(362\) −6659.65 5996.38i −0.966916 0.870615i
\(363\) −914.791 473.181i −0.132270 0.0684175i
\(364\) −235.928 262.025i −0.0339725 0.0377303i
\(365\) 1431.04 + 9077.75i 0.205217 + 1.30178i
\(366\) 5118.49 9895.48i 0.731005 1.41324i
\(367\) 1364.12 3063.87i 0.194023 0.435784i −0.790168 0.612890i \(-0.790007\pi\)
0.984192 + 0.177106i \(0.0566736\pi\)
\(368\) 3497.15i 0.495384i
\(369\) −57.8290 + 125.723i −0.00815842 + 0.0177368i
\(370\) −85.2567 + 131.076i −0.0119791 + 0.0184171i
\(371\) 409.910 3900.03i 0.0573624 0.545767i
\(372\) 1725.34 4413.75i 0.240469 0.615167i
\(373\) −983.474 + 885.524i −0.136521 + 0.122924i −0.734562 0.678541i \(-0.762613\pi\)
0.598041 + 0.801465i \(0.295946\pi\)
\(374\) 10517.6 18217.1i 1.45416 2.51867i
\(375\) 3578.66 + 6318.82i 0.492804 + 0.870140i
\(376\) 4105.26 + 7110.52i 0.563065 + 0.975258i
\(377\) −305.172 99.1565i −0.0416901 0.0135459i
\(378\) 8097.44 + 3280.07i 1.10182 + 0.446319i
\(379\) 4129.26 + 3000.09i 0.559646 + 0.406607i 0.831330 0.555780i \(-0.187580\pi\)
−0.271683 + 0.962387i \(0.587580\pi\)
\(380\) −20444.5 1086.29i −2.75995 0.146646i
\(381\) −984.100 2611.31i −0.132328 0.351132i
\(382\) −2443.34 1410.67i −0.327257 0.188942i
\(383\) −4590.66 + 482.498i −0.612459 + 0.0643720i −0.405679 0.914016i \(-0.632965\pi\)
−0.206780 + 0.978388i \(0.566298\pi\)
\(384\) −7113.53 11102.0i −0.945340 1.47538i
\(385\) 4475.34 + 1721.64i 0.592428 + 0.227904i
\(386\) 1497.16 4607.80i 0.197419 0.607592i
\(387\) −1644.86 5281.40i −0.216055 0.693718i
\(388\) −20249.9 + 6579.58i −2.64957 + 0.860896i
\(389\) 4339.27 922.340i 0.565578 0.120217i 0.0837555 0.996486i \(-0.473309\pi\)
0.481822 + 0.876269i \(0.339975\pi\)
\(390\) 204.272 450.482i 0.0265224 0.0584899i
\(391\) −7152.44 1520.30i −0.925100 0.196636i
\(392\) −6918.47 + 727.160i −0.891417 + 0.0936917i
\(393\) −2615.29 + 2583.49i −0.335685 + 0.331602i
\(394\) −18075.7 8047.80i −2.31127 1.02904i
\(395\) −9156.76 + 3507.35i −1.16640 + 0.446769i
\(396\) 5708.25 + 13255.1i 0.724369 + 1.68205i
\(397\) −4886.90 + 6726.25i −0.617800 + 0.850329i −0.997190 0.0749076i \(-0.976134\pi\)
0.379390 + 0.925237i \(0.376134\pi\)
\(398\) 1836.81 + 8641.50i 0.231334 + 1.08834i
\(399\) −7386.55 + 1930.86i −0.926792 + 0.242266i
\(400\) 1578.81 + 7480.94i 0.197351 + 0.935117i
\(401\) 3263.41 5652.39i 0.406401 0.703907i −0.588082 0.808801i \(-0.700117\pi\)
0.994483 + 0.104894i \(0.0334502\pi\)
\(402\) −4738.95 + 7200.52i −0.587954 + 0.893356i
\(403\) −99.5057 10.4585i −0.0122996 0.00129274i
\(404\) −18360.6 13339.7i −2.26107 1.64276i
\(405\) 221.371 + 8147.46i 0.0271605 + 0.999631i
\(406\) 9278.43 6741.18i 1.13419 0.824037i
\(407\) −83.4176 + 48.1612i −0.0101593 + 0.00586550i
\(408\) 23950.6 9026.05i 2.90621 1.09524i
\(409\) −10254.3 2179.63i −1.23972 0.263510i −0.459023 0.888424i \(-0.651800\pi\)
−0.780693 + 0.624914i \(0.785134\pi\)
\(410\) −249.604 + 126.952i −0.0300660 + 0.0152920i
\(411\) 642.524 10974.9i 0.0771129 1.31716i
\(412\) 15458.7 + 13919.1i 1.84854 + 1.66443i
\(413\) −9610.96 + 3122.79i −1.14510 + 0.372064i
\(414\) 5667.58 4978.91i 0.672818 0.591063i
\(415\) 2940.98 151.996i 0.347873 0.0179787i
\(416\) −10.7379 + 11.9257i −0.00126555 + 0.00140554i
\(417\) −1202.24 + 7301.25i −0.141184 + 0.857419i
\(418\) −16424.1 9482.46i −1.92184 1.10958i
\(419\) 980.550 + 9329.31i 0.114327 + 1.08775i 0.889795 + 0.456361i \(0.150848\pi\)
−0.775467 + 0.631387i \(0.782486\pi\)
\(420\) 5808.60 + 10221.7i 0.674835 + 1.18754i
\(421\) −587.808 + 5592.62i −0.0680475 + 0.647429i 0.906339 + 0.422550i \(0.138865\pi\)
−0.974387 + 0.224878i \(0.927802\pi\)
\(422\) −7901.71 + 10875.8i −0.911491 + 1.25456i
\(423\) −1845.49 + 5451.92i −0.212129 + 0.626670i
\(424\) 11852.7 1.35759
\(425\) 15986.5 + 23.1446i 1.82461 + 0.00264160i
\(426\) −23445.4 + 6128.69i −2.66651 + 0.697033i
\(427\) 4154.78 3740.98i 0.470875 0.423978i
\(428\) −6250.93 14039.8i −0.705958 1.58561i
\(429\) 237.966 190.302i 0.0267811 0.0214169i
\(430\) 4019.02 10447.3i 0.450731 1.17166i
\(431\) −11300.5 + 8210.27i −1.26293 + 0.917575i −0.998898 0.0469375i \(-0.985054\pi\)
−0.264036 + 0.964513i \(0.585054\pi\)
\(432\) −2372.76 + 8246.76i −0.264258 + 0.918455i
\(433\) 5238.18 + 7209.74i 0.581365 + 0.800180i 0.993844 0.110787i \(-0.0353371\pi\)
−0.412479 + 0.910967i \(0.635337\pi\)
\(434\) 2392.89 2657.57i 0.264660 0.293934i
\(435\) 9229.13 + 5412.97i 1.01725 + 0.596625i
\(436\) 15135.0 + 16809.1i 1.66247 + 1.84636i
\(437\) −1370.66 + 6448.47i −0.150041 + 0.705886i
\(438\) −17574.0 + 11260.4i −1.91716 + 1.22841i
\(439\) 11898.8 2529.17i 1.29362 0.274968i 0.490845 0.871247i \(-0.336688\pi\)
0.802777 + 0.596279i \(0.203355\pi\)
\(440\) −3761.20 + 13996.4i −0.407518 + 1.51649i
\(441\) −3583.94 3307.29i −0.386992 0.357120i
\(442\) −640.043 880.943i −0.0688772 0.0948013i
\(443\) −6510.26 + 3758.70i −0.698220 + 0.403118i −0.806684 0.590983i \(-0.798740\pi\)
0.108464 + 0.994100i \(0.465407\pi\)
\(444\) −233.030 38.3712i −0.0249079 0.00410138i
\(445\) −12835.1 + 2023.35i −1.36728 + 0.215542i
\(446\) 18658.8 8307.42i 1.98098 0.881990i
\(447\) 11866.8 1805.17i 1.25567 0.191011i
\(448\) −1415.66 6660.17i −0.149294 0.702374i
\(449\) 2446.72 0.257167 0.128584 0.991699i \(-0.458957\pi\)
0.128584 + 0.991699i \(0.458957\pi\)
\(450\) −9876.09 + 13209.3i −1.03459 + 1.38376i
\(451\) −172.505 −0.0180109
\(452\) 2156.87 + 10147.3i 0.224448 + 1.05595i
\(453\) 1679.39 4296.20i 0.174182 0.445592i
\(454\) −20213.6 + 8999.69i −2.08959 + 0.930344i
\(455\) 175.645 175.391i 0.0180975 0.0180713i
\(456\) −8137.68 21593.3i −0.835705 2.21754i
\(457\) −3671.27 + 2119.61i −0.375787 + 0.216961i −0.675984 0.736917i \(-0.736281\pi\)
0.300197 + 0.953877i \(0.402948\pi\)
\(458\) −876.349 1206.19i −0.0894085 0.123060i
\(459\) 15834.9 + 8437.90i 1.61027 + 0.858055i
\(460\) 10138.4 523.970i 1.02762 0.0531092i
\(461\) −3421.73 + 727.312i −0.345696 + 0.0734800i −0.377488 0.926014i \(-0.623212\pi\)
0.0317916 + 0.999495i \(0.489879\pi\)
\(462\) 503.422 + 10878.9i 0.0506954 + 1.09553i
\(463\) 1137.98 5353.78i 0.114226 0.537390i −0.883406 0.468608i \(-0.844756\pi\)
0.997632 0.0687814i \(-0.0219111\pi\)
\(464\) 7537.75 + 8371.52i 0.754162 + 0.837582i
\(465\) 3165.80 + 1052.63i 0.315721 + 0.104978i
\(466\) −9067.36 + 10070.3i −0.901368 + 1.00107i
\(467\) −10736.9 14778.1i −1.06391 1.46435i −0.876092 0.482144i \(-0.839858\pi\)
−0.187819 0.982204i \(-0.560142\pi\)
\(468\) 747.024 + 9.14109i 0.0737846 + 0.000902878i
\(469\) −3499.63 + 2542.63i −0.344558 + 0.250336i
\(470\) −9772.86 + 6336.52i −0.959125 + 0.621876i
\(471\) 2139.48 + 14064.5i 0.209304 + 1.37592i
\(472\) −12423.3 27903.1i −1.21150 2.72107i
\(473\) 5124.33 4613.96i 0.498133 0.448521i
\(474\) −15650.8 15843.5i −1.51660 1.53527i
\(475\) 20.8666 14413.1i 0.00201564 1.39225i
\(476\) 25881.9 2.49222
\(477\) 5483.88 + 6242.40i 0.526393 + 0.599203i
\(478\) 7329.55 10088.3i 0.701351 0.965327i
\(479\) −656.057 + 6241.96i −0.0625804 + 0.595412i 0.917628 + 0.397441i \(0.130102\pi\)
−0.980208 + 0.197971i \(0.936565\pi\)
\(480\) 435.041 311.551i 0.0413684 0.0296256i
\(481\) 0.521199 + 4.95887i 4.94067e−5 + 0.000470073i
\(482\) 21967.5 + 12682.9i 2.07592 + 1.19853i
\(483\) 3542.54 1335.05i 0.333729 0.125770i
\(484\) 2106.30 2339.28i 0.197812 0.219692i
\(485\) −5361.59 13997.7i −0.501974 1.31052i
\(486\) −16743.1 + 7895.59i −1.56272 + 0.736936i
\(487\) 12270.0 3986.78i 1.14170 0.370961i 0.323690 0.946163i \(-0.395077\pi\)
0.818011 + 0.575202i \(0.195077\pi\)
\(488\) 12557.7 + 11307.0i 1.16488 + 1.04886i
\(489\) −8744.50 5755.11i −0.808671 0.532219i
\(490\) −1536.72 9748.12i −0.141677 0.898725i
\(491\) −5804.62 1233.81i −0.533521 0.113403i −0.0667300 0.997771i \(-0.521257\pi\)
−0.466791 + 0.884368i \(0.654590\pi\)
\(492\) −327.063 268.180i −0.0299698 0.0245742i
\(493\) 20398.5 11777.1i 1.86349 1.07589i
\(494\) −794.238 + 577.047i −0.0723369 + 0.0525559i
\(495\) −9111.64 + 4494.84i −0.827349 + 0.408137i
\(496\) 2841.73 + 2064.64i 0.257253 + 0.186905i
\(497\) −12094.3 1271.16i −1.09155 0.114727i
\(498\) 2999.99 + 5977.95i 0.269946 + 0.537909i
\(499\) 7020.70 12160.2i 0.629839 1.09091i −0.357745 0.933819i \(-0.616454\pi\)
0.987584 0.157094i \(-0.0502125\pi\)
\(500\) −21451.0 + 5697.87i −1.91863 + 0.509633i
\(501\) −8912.89 9022.63i −0.794808 0.804593i
\(502\) 1343.95 + 6322.77i 0.119489 + 0.562149i
\(503\) −3549.93 + 4886.06i −0.314679 + 0.433119i −0.936833 0.349776i \(-0.886258\pi\)
0.622154 + 0.782895i \(0.286258\pi\)
\(504\) −7919.49 + 10624.4i −0.699925 + 0.938984i
\(505\) 8711.42 13393.2i 0.767630 1.18018i
\(506\) 8590.92 + 3824.92i 0.754769 + 0.336045i
\(507\) 2883.16 + 11029.6i 0.252555 + 0.966154i
\(508\) 8482.33 891.528i 0.740831 0.0778645i
\(509\) 12040.6 + 2559.32i 1.04851 + 0.222868i 0.699782 0.714356i \(-0.253280\pi\)
0.348728 + 0.937224i \(0.386614\pi\)
\(510\) 14540.8 + 33269.9i 1.26250 + 2.88866i
\(511\) −10245.3 + 2177.70i −0.886936 + 0.188524i
\(512\) 18459.7 5997.93i 1.59338 0.517722i
\(513\) 7607.41 14276.4i 0.654728 1.22869i
\(514\) 6210.21 19113.1i 0.532919 1.64016i
\(515\) −9224.19 + 11374.1i −0.789255 + 0.973208i
\(516\) 16888.5 781.515i 1.44085 0.0666749i
\(517\) −7135.62 + 749.984i −0.607010 + 0.0637993i
\(518\) −154.340 89.1080i −0.0130913 0.00755826i
\(519\) −2673.49 + 3260.49i −0.226114 + 0.275761i
\(520\) 582.704 + 472.563i 0.0491408 + 0.0398524i
\(521\) 9809.23 + 7126.82i 0.824856 + 0.599293i 0.918099 0.396350i \(-0.129723\pi\)
−0.0932433 + 0.995643i \(0.529723\pi\)
\(522\) −2835.61 + 24134.5i −0.237761 + 2.02364i
\(523\) 5072.67 + 1648.21i 0.424115 + 0.137803i 0.513295 0.858212i \(-0.328425\pi\)
−0.0891799 + 0.996016i \(0.528425\pi\)
\(524\) −5617.84 9730.38i −0.468352 0.811210i
\(525\) −6975.33 + 4455.17i −0.579864 + 0.370361i
\(526\) 12899.9 22343.2i 1.06932 1.85211i
\(527\) 5458.01 4914.42i 0.451148 0.406215i
\(528\) −10575.4 + 1608.72i −0.871659 + 0.132596i
\(529\) −930.098 + 8849.29i −0.0764443 + 0.727319i
\(530\) 867.825 + 16791.6i 0.0711243 + 1.37619i
\(531\) 8947.76 19452.9i 0.731262 1.58980i
\(532\) 23334.5i 1.90165i
\(533\) −3.63208 + 8.15779i −0.000295165 + 0.000662952i
\(534\) −15921.1 24847.9i −1.29022 2.01362i
\(535\) 9643.63 4904.88i 0.779309 0.396367i
\(536\) −8748.58 9716.28i −0.705002 0.782984i
\(537\) 390.555 + 8439.91i 0.0313849 + 0.678229i
\(538\) 27612.1 + 24862.0i 2.21272 + 1.99234i
\(539\) 1878.56 5781.61i 0.150121 0.462025i
\(540\) −24263.2 5643.13i −1.93356 0.449707i
\(541\) 2136.74 + 6576.21i 0.169807 + 0.522613i 0.999358 0.0358179i \(-0.0114036\pi\)
−0.829551 + 0.558431i \(0.811404\pi\)
\(542\) −5098.61 + 11451.7i −0.404067 + 0.907549i
\(543\) 9188.70 + 2522.46i 0.726197 + 0.199354i
\(544\) −123.132 1171.52i −0.00970449 0.0923321i
\(545\) −11267.8 + 11251.5i −0.885615 + 0.884333i
\(546\) 525.068 + 205.249i 0.0411554 + 0.0160876i
\(547\) 19468.4 + 2046.22i 1.52177 + 0.159945i 0.828197 0.560437i \(-0.189367\pi\)
0.693577 + 0.720382i \(0.256034\pi\)
\(548\) 31956.3 + 10383.2i 2.49107 + 0.809397i
\(549\) −144.945 + 11845.1i −0.0112679 + 0.920834i
\(550\) −20104.1 4303.69i −1.55862 0.333654i
\(551\) −10617.9 18390.8i −0.820941 1.42191i
\(552\) 5132.25 + 10226.8i 0.395730 + 0.788554i
\(553\) −4545.62 10209.6i −0.349547 0.785095i
\(554\) −11359.4 + 5057.54i −0.871148 + 0.387860i
\(555\) 18.5098 165.227i 0.00141567 0.0126369i
\(556\) −20660.5 9198.66i −1.57590 0.701637i
\(557\) 18733.8i 1.42510i −0.701624 0.712548i \(-0.747541\pi\)
0.701624 0.712548i \(-0.252459\pi\)
\(558\) 699.770 + 7544.83i 0.0530890 + 0.572398i
\(559\) −110.303 339.478i −0.00834583 0.0256858i
\(560\) −8418.93 + 2249.31i −0.635294 + 0.169734i
\(561\) −1307.21 + 22328.4i −0.0983787 + 1.68040i
\(562\) −2590.73 + 12188.4i −0.194454 + 0.914835i
\(563\) −3696.66 + 17391.4i −0.276724 + 1.30189i 0.591738 + 0.806130i \(0.298442\pi\)
−0.868462 + 0.495755i \(0.834891\pi\)
\(564\) −14694.8 9671.28i −1.09710 0.722046i
\(565\) −7055.72 + 1885.10i −0.525374 + 0.140366i
\(566\) −7829.70 24097.3i −0.581461 1.78955i
\(567\) −9259.62 + 744.662i −0.685833 + 0.0551549i
\(568\) 36756.0i 2.71522i
\(569\) −13832.9 6158.82i −1.01917 0.453763i −0.172006 0.985096i \(-0.555025\pi\)
−0.847163 + 0.531333i \(0.821691\pi\)
\(570\) 29995.4 13109.6i 2.20415 0.963337i
\(571\) −2972.37 + 1323.38i −0.217845 + 0.0969911i −0.512758 0.858533i \(-0.671376\pi\)
0.294912 + 0.955524i \(0.404710\pi\)
\(572\) 378.784 + 850.763i 0.0276884 + 0.0621891i
\(573\) 2994.77 + 175.328i 0.218339 + 0.0127826i
\(574\) −159.584 276.408i −0.0116044 0.0200994i
\(575\) 736.759 + 7108.78i 0.0534348 + 0.515577i
\(576\) 12405.0 + 7365.89i 0.897356 + 0.532834i
\(577\) −4506.83 1464.36i −0.325168 0.105653i 0.141884 0.989883i \(-0.454684\pi\)
−0.467052 + 0.884230i \(0.654684\pi\)
\(578\) 55616.0 + 5845.48i 4.00229 + 0.420657i
\(579\) 774.739 + 5092.98i 0.0556080 + 0.365556i
\(580\) −23140.0 + 23106.5i −1.65661 + 1.65422i
\(581\) 350.846 + 3338.08i 0.0250526 + 0.238360i
\(582\) 24219.6 23925.0i 1.72497 1.70399i
\(583\) −4212.85 + 9462.23i −0.299277 + 0.672188i
\(584\) −9782.82 30108.4i −0.693178 2.13338i
\(585\) 20.7166 + 525.531i 0.00146415 + 0.0371419i
\(586\) −14001.8 + 43093.2i −0.987048 + 3.03782i
\(587\) −8866.10 7983.07i −0.623412 0.561323i 0.295719 0.955275i \(-0.404441\pi\)
−0.919131 + 0.393952i \(0.871108\pi\)
\(588\) 12549.9 8041.29i 0.880187 0.563975i
\(589\) −4430.72 4920.82i −0.309957 0.344242i
\(590\) 38620.7 19643.0i 2.69490 1.37066i
\(591\) 21016.1 972.517i 1.46275 0.0676887i
\(592\) 71.1990 159.915i 0.00494301 0.0111022i
\(593\) 22046.7i 1.52673i 0.645970 + 0.763363i \(0.276453\pi\)
−0.645970 + 0.763363i \(0.723547\pi\)
\(594\) −17663.4 14848.5i −1.22010 1.02566i
\(595\) 940.425 + 18196.4i 0.0647961 + 1.25375i
\(596\) −3834.80 + 36485.6i −0.263556 + 2.50757i
\(597\) −5866.88 7336.32i −0.402203 0.502940i
\(598\) 361.763 325.733i 0.0247385 0.0222746i
\(599\) −11203.4 + 19404.9i −0.764207 + 1.32365i 0.176458 + 0.984308i \(0.443536\pi\)
−0.940665 + 0.339337i \(0.889797\pi\)
\(600\) −15595.6 19559.7i −1.06115 1.33087i
\(601\) −9638.60 16694.5i −0.654188 1.13309i −0.982097 0.188377i \(-0.939677\pi\)
0.327909 0.944709i \(-0.393656\pi\)
\(602\) 12133.6 + 3942.44i 0.821475 + 0.266914i
\(603\) 1069.53 9103.01i 0.0722300 0.614765i
\(604\) 11405.8 + 8286.77i 0.768367 + 0.558252i
\(605\) 1721.18 + 1395.85i 0.115663 + 0.0938004i
\(606\) 35805.0 + 5895.72i 2.40013 + 0.395210i
\(607\) 2146.05 + 1239.02i 0.143502 + 0.0828508i 0.570032 0.821623i \(-0.306931\pi\)
−0.426530 + 0.904473i \(0.640264\pi\)
\(608\) −1056.22 + 111.013i −0.0704528 + 0.00740489i
\(609\) −5602.63 + 10831.4i −0.372792 + 0.720710i
\(610\) −15099.2 + 18618.3i −1.00221 + 1.23579i
\(611\) −114.773 + 353.236i −0.00759940 + 0.0233886i
\(612\) −37190.8 + 40301.8i −2.45645 + 2.66193i
\(613\) −3118.40 + 1013.23i −0.205467 + 0.0667601i −0.409942 0.912112i \(-0.634451\pi\)
0.204476 + 0.978872i \(0.434451\pi\)
\(614\) 8558.95 1819.26i 0.562559 0.119576i
\(615\) 176.662 239.688i 0.0115832 0.0157157i
\(616\) −16157.5 3434.37i −1.05682 0.224634i
\(617\) −2691.51 + 282.889i −0.175618 + 0.0184582i −0.191929 0.981409i \(-0.561474\pi\)
0.0163114 + 0.999867i \(0.494808\pi\)
\(618\) −32073.6 8804.76i −2.08769 0.573106i
\(619\) 8217.54 + 3658.69i 0.533588 + 0.237569i 0.655799 0.754935i \(-0.272332\pi\)
−0.122211 + 0.992504i \(0.538999\pi\)
\(620\) −5559.69 + 8547.63i −0.360133 + 0.553679i
\(621\) −3011.57 + 7434.62i −0.194606 + 0.480420i
\(622\) −17337.6 + 23863.1i −1.11764 + 1.53830i
\(623\) −3079.06 14485.8i −0.198009 0.931561i
\(624\) −146.588 + 533.986i −0.00940422 + 0.0342573i
\(625\) −4785.34 14874.2i −0.306262 0.951947i
\(626\) 19296.1 33421.8i 1.23199 2.13387i
\(627\) 20130.8 + 1178.55i 1.28221 + 0.0750666i
\(628\) −43242.7 4544.99i −2.74772 0.288797i
\(629\) −296.111 215.137i −0.0187706 0.0136376i
\(630\) −15631.4 10441.6i −0.988523 0.660324i
\(631\) −9422.34 + 6845.73i −0.594449 + 0.431892i −0.843904 0.536494i \(-0.819748\pi\)
0.249455 + 0.968386i \(0.419748\pi\)
\(632\) 29253.2 16889.3i 1.84119 1.06301i
\(633\) 2322.41 14104.1i 0.145826 0.885606i
\(634\) 48674.4 + 10346.1i 3.04906 + 0.648099i
\(635\) 935.001 + 5931.15i 0.0584321 + 0.370662i
\(636\) −22697.7 + 11390.7i −1.41513 + 0.710172i
\(637\) −233.861 210.569i −0.0145462 0.0130974i
\(638\) −28809.3 + 9360.71i −1.78773 + 0.580868i
\(639\) 19358.1 17005.9i 1.19843 1.05281i
\(640\) 10147.9 + 26493.6i 0.626769 + 1.63633i
\(641\) 13418.5 14902.7i 0.826828 0.918286i −0.170925 0.985284i \(-0.554675\pi\)
0.997753 + 0.0669981i \(0.0213421\pi\)
\(642\) 19001.7 + 15580.7i 1.16813 + 0.957824i
\(643\) 10485.4 + 6053.75i 0.643085 + 0.371285i 0.785802 0.618478i \(-0.212250\pi\)
−0.142717 + 0.989764i \(0.545584\pi\)
\(644\) 1209.46 + 11507.3i 0.0740054 + 0.704114i
\(645\) 1163.10 + 11845.2i 0.0710029 + 0.723106i
\(646\) 7532.78 71669.6i 0.458782 4.36502i
\(647\) −4941.20 + 6800.98i −0.300245 + 0.413252i −0.932308 0.361665i \(-0.882208\pi\)
0.632063 + 0.774917i \(0.282208\pi\)
\(648\) −5163.83 27598.4i −0.313047 1.67310i
\(649\) 26691.3 1.61437
\(650\) −626.814 + 860.114i −0.0378241 + 0.0519022i
\(651\) −1006.60 + 3666.80i −0.0606018 + 0.220758i
\(652\) 23777.1 21409.0i 1.42820 1.28595i
\(653\) −5181.26 11637.3i −0.310503 0.697400i 0.689126 0.724641i \(-0.257995\pi\)
−0.999629 + 0.0272409i \(0.991328\pi\)
\(654\) −33683.6 13166.9i −2.01397 0.787260i
\(655\) 6636.87 4303.21i 0.395914 0.256703i
\(656\) 253.625 184.269i 0.0150951 0.0109672i
\(657\) 11330.9 19082.6i 0.672846 1.13315i
\(658\) −7802.89 10739.8i −0.462292 0.636291i
\(659\) −8114.29 + 9011.83i −0.479648 + 0.532703i −0.933597 0.358325i \(-0.883348\pi\)
0.453949 + 0.891028i \(0.350015\pi\)
\(660\) −6248.24 30417.5i −0.368504 1.79394i
\(661\) −9638.32 10704.4i −0.567152 0.629886i 0.389533 0.921013i \(-0.372636\pi\)
−0.956684 + 0.291127i \(0.905970\pi\)
\(662\) 9325.33 43872.2i 0.547491 2.57574i
\(663\) 1028.39 + 531.943i 0.0602406 + 0.0311598i
\(664\) −9923.15 + 2109.23i −0.579959 + 0.123274i
\(665\) 16405.5 847.866i 0.956656 0.0494418i
\(666\) 360.530 112.285i 0.0209764 0.00653298i
\(667\) 6189.37 + 8518.93i 0.359300 + 0.494534i
\(668\) 33569.3 19381.3i 1.94437 1.12258i
\(669\) −13770.1 + 16793.6i −0.795790 + 0.970518i
\(670\) 13124.5 13105.5i 0.756780 0.755685i
\(671\) −13490.1 + 6006.16i −0.776122 + 0.345552i
\(672\) 380.899 + 476.300i 0.0218653 + 0.0273418i
\(673\) −4484.88 21099.7i −0.256879 1.20852i −0.897622 0.440765i \(-0.854707\pi\)
0.640743 0.767755i \(-0.278626\pi\)
\(674\) −8497.20 −0.485608
\(675\) 3085.82 17263.4i 0.175961 0.984397i
\(676\) −34843.1 −1.98242
\(677\) −6697.25 31508.1i −0.380201 1.78871i −0.586212 0.810158i \(-0.699382\pi\)
0.206011 0.978550i \(-0.433952\pi\)
\(678\) −10359.5 12954.2i −0.586807 0.733780i
\(679\) 15607.2 6948.77i 0.882105 0.392738i
\(680\) −54399.8 + 8575.71i −3.06785 + 0.483623i
\(681\) 14917.6 18193.0i 0.839419 1.02373i
\(682\) −8179.97 + 4722.71i −0.459277 + 0.265164i
\(683\) 2540.85 + 3497.19i 0.142347 + 0.195924i 0.874238 0.485498i \(-0.161362\pi\)
−0.731891 + 0.681422i \(0.761362\pi\)
\(684\) 36335.1 + 33530.4i 2.03115 + 1.87436i
\(685\) −6138.84 + 22844.3i −0.342413 + 1.27421i
\(686\) 31894.5 6779.38i 1.77513 0.377315i
\(687\) 1408.08 + 728.339i 0.0781975 + 0.0404481i
\(688\) −2605.41 + 12257.5i −0.144375 + 0.679233i
\(689\) 358.770 + 398.454i 0.0198375 + 0.0220318i
\(690\) −14112.5 + 8019.62i −0.778629 + 0.442466i
\(691\) −21650.9 + 24045.8i −1.19195 + 1.32380i −0.258112 + 0.966115i \(0.583101\pi\)
−0.933842 + 0.357685i \(0.883566\pi\)
\(692\) −7574.77 10425.8i −0.416112 0.572729i
\(693\) −5666.80 10098.6i −0.310626 0.553554i
\(694\) 5016.89 3644.99i 0.274407 0.199369i
\(695\) 5716.46 14859.7i 0.311997 0.811024i
\(696\) −34328.5 13419.0i −1.86957 0.730814i
\(697\) −266.614 598.825i −0.0144889 0.0325425i
\(698\) −41642.7 + 37495.3i −2.25817 + 2.03326i
\(699\) 3814.31 13894.6i 0.206395 0.751848i
\(700\) −7782.24 24069.8i −0.420201 1.29965i
\(701\) −19870.8 −1.07063 −0.535314 0.844653i \(-0.679807\pi\)
−0.535314 + 0.844653i \(0.679807\pi\)
\(702\) −1074.09 + 522.673i −0.0577480 + 0.0281012i
\(703\) −193.962 + 266.966i −0.0104060 + 0.0143227i
\(704\) −1879.86 + 17885.7i −0.100639 + 0.957516i
\(705\) 6265.50 10682.7i 0.334712 0.570686i
\(706\) 4796.94 + 45639.9i 0.255716 + 2.43297i
\(707\) 15770.2 + 9104.94i 0.838897 + 0.484337i
\(708\) 50605.9 + 41495.0i 2.68628 + 2.20265i
\(709\) 16436.5 18254.6i 0.870645 0.966949i −0.129050 0.991638i \(-0.541193\pi\)
0.999695 + 0.0246891i \(0.00785957\pi\)
\(710\) 52072.1 2691.19i 2.75244 0.142251i
\(711\) 22429.6 + 7592.48i 1.18309 + 0.400478i
\(712\) 42570.4 13832.0i 2.24072 0.728055i
\(713\) 2440.03 + 2197.01i 0.128163 + 0.115398i
\(714\) −36986.7 + 18561.5i −1.93864 + 0.972895i
\(715\) −584.369 + 297.218i −0.0305653 + 0.0155459i
\(716\) −25258.7 5368.91i −1.31838 0.280231i
\(717\) −2154.25 + 13082.8i −0.112206 + 0.681433i
\(718\) −8921.24 + 5150.68i −0.463701 + 0.267718i
\(719\) 11845.2 8606.07i 0.614399 0.446387i −0.236561 0.971617i \(-0.576020\pi\)
0.850961 + 0.525229i \(0.176020\pi\)
\(720\) 8595.01 16341.6i 0.444885 0.845854i
\(721\) −13503.2 9810.65i −0.697483 0.506751i
\(722\) −31280.3 3287.70i −1.61237 0.169467i
\(723\) −26925.3 1576.33i −1.38501 0.0810849i
\(724\) −14561.5 + 25221.2i −0.747477 + 1.29467i
\(725\) −17085.9 15429.1i −0.875249 0.790376i
\(726\) −1332.38 + 4853.52i −0.0681117 + 0.248115i
\(727\) 861.047 + 4050.91i 0.0439264 + 0.206657i 0.994638 0.103420i \(-0.0329785\pi\)
−0.950711 + 0.310077i \(0.899645\pi\)
\(728\) −502.607 + 691.780i −0.0255877 + 0.0352185i
\(729\) 12146.0 15488.6i 0.617080 0.786900i
\(730\) 41938.2 16063.8i 2.12631 0.814447i
\(731\) 23936.6 + 10657.3i 1.21112 + 0.539225i
\(732\) −34914.1 9584.52i −1.76292 0.483953i
\(733\) −14368.1 + 1510.15i −0.724010 + 0.0760965i −0.459363 0.888249i \(-0.651922\pi\)
−0.264647 + 0.964345i \(0.585256\pi\)
\(734\) −16031.5 3407.60i −0.806175 0.171358i
\(735\) 6109.47 + 8531.10i 0.306600 + 0.428129i
\(736\) 515.112 109.491i 0.0257980 0.00548352i
\(737\) 10866.3 3530.66i 0.543098 0.176463i
\(738\) 659.720 + 148.687i 0.0329060 + 0.00741633i
\(739\) −2567.19 + 7900.99i −0.127788 + 0.393292i −0.994399 0.105693i \(-0.966294\pi\)
0.866611 + 0.498985i \(0.166294\pi\)
\(740\) 474.269 + 182.449i 0.0235601 + 0.00906344i
\(741\) 479.588 927.176i 0.0237761 0.0459658i
\(742\) −19058.9 + 2003.17i −0.942956 + 0.0991087i
\(743\) 13362.0 + 7714.57i 0.659765 + 0.380915i 0.792187 0.610278i \(-0.208942\pi\)
−0.132423 + 0.991193i \(0.542276\pi\)
\(744\) −11340.1 1867.29i −0.558802 0.0920136i
\(745\) −25790.7 1370.36i −1.26832 0.0673906i
\(746\) 5232.10 + 3801.34i 0.256784 + 0.186564i
\(747\) −5702.00 4250.31i −0.279284 0.208180i
\(748\) −65014.8 21124.6i −3.17804 1.03261i
\(749\) 6165.67 + 10679.2i 0.300786 + 0.520976i
\(750\) 26568.3 23526.4i 1.29352 1.14542i
\(751\) −14888.2 + 25787.1i −0.723405 + 1.25297i 0.236222 + 0.971699i \(0.424091\pi\)
−0.959627 + 0.281275i \(0.909243\pi\)
\(752\) 9690.01 8724.92i 0.469891 0.423092i
\(753\) −4292.65 5367.80i −0.207746 0.259779i
\(754\) −163.909 + 1559.49i −0.00791673 + 0.0753226i
\(755\) −5411.62 + 8319.98i −0.260860 + 0.401053i
\(756\) 4955.42 27956.3i 0.238396 1.34492i
\(757\) 27112.6i 1.30175i −0.759185 0.650875i \(-0.774402\pi\)
0.759185 0.650875i \(-0.225598\pi\)
\(758\) 10145.1 22786.3i 0.486131 1.09187i
\(759\) −9988.44 + 462.213i −0.477678 + 0.0221045i
\(760\) 7731.67 + 49045.6i 0.369022 + 2.34088i
\(761\) −1082.72 1202.49i −0.0515752 0.0572800i 0.716805 0.697274i \(-0.245604\pi\)
−0.768380 + 0.639994i \(0.778937\pi\)
\(762\) −11482.3 + 7357.24i −0.545881 + 0.349770i
\(763\) −13487.3 12144.0i −0.639937 0.576202i
\(764\) −2833.31 + 8720.02i −0.134169 + 0.412931i
\(765\) −29685.7 24682.8i −1.40299 1.16655i
\(766\) 6970.63 + 21453.4i 0.328798 + 1.01194i
\(767\) 561.985 1262.24i 0.0264565 0.0594222i
\(768\) −30038.5 + 29673.2i −1.41136 + 1.39419i
\(769\) −1019.66 9701.42i −0.0478152 0.454931i −0.992067 0.125708i \(-0.959880\pi\)
0.944252 0.329223i \(-0.106787\pi\)
\(770\) 3682.45 23141.7i 0.172346 1.08307i
\(771\) 3213.60 + 21125.6i 0.1