Properties

Label 75.4.g.b.61.2
Level $75$
Weight $4$
Character 75.61
Analytic conductor $4.425$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 75 = 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 75.g (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.42514325043\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 61.2
Character \(\chi\) \(=\) 75.61
Dual form 75.4.g.b.16.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.16070 + 2.29638i) q^{2} +(0.927051 - 2.85317i) q^{3} +(2.24451 - 6.90789i) q^{4} +(-11.0852 + 1.45535i) q^{5} +(3.62184 + 11.1469i) q^{6} +22.0918 q^{7} +(-0.889297 - 2.73697i) q^{8} +(-7.28115 - 5.29007i) q^{9} +O(q^{10})\) \(q+(-3.16070 + 2.29638i) q^{2} +(0.927051 - 2.85317i) q^{3} +(2.24451 - 6.90789i) q^{4} +(-11.0852 + 1.45535i) q^{5} +(3.62184 + 11.1469i) q^{6} +22.0918 q^{7} +(-0.889297 - 2.73697i) q^{8} +(-7.28115 - 5.29007i) q^{9} +(31.6950 - 30.0558i) q^{10} +(31.5999 - 22.9587i) q^{11} +(-17.6286 - 12.8079i) q^{12} +(55.3321 + 40.2012i) q^{13} +(-69.8255 + 50.7312i) q^{14} +(-6.12419 + 32.9772i) q^{15} +(56.1056 + 40.7631i) q^{16} +(31.1744 + 95.9450i) q^{17} +35.1615 q^{18} +(-29.0621 - 89.4438i) q^{19} +(-14.8275 + 79.8420i) q^{20} +(20.4802 - 63.0316i) q^{21} +(-47.1559 + 145.131i) q^{22} +(130.565 - 94.8612i) q^{23} -8.63347 q^{24} +(120.764 - 32.2658i) q^{25} -267.205 q^{26} +(-21.8435 + 15.8702i) q^{27} +(49.5852 - 152.608i) q^{28} +(-15.8462 + 48.7695i) q^{29} +(-56.3715 - 118.294i) q^{30} +(-80.4233 - 247.517i) q^{31} -247.918 q^{32} +(-36.2103 - 111.444i) q^{33} +(-318.859 - 231.665i) q^{34} +(-244.892 + 32.1513i) q^{35} +(-52.8858 + 38.4238i) q^{36} +(70.1129 + 50.9400i) q^{37} +(297.254 + 215.967i) q^{38} +(165.996 - 120.603i) q^{39} +(13.8413 + 29.0457i) q^{40} +(42.4765 + 30.8610i) q^{41} +(80.0128 + 246.254i) q^{42} -53.3748 q^{43} +(-87.6698 - 269.820i) q^{44} +(88.4120 + 48.0449i) q^{45} +(-194.840 + 599.656i) q^{46} +(74.7809 - 230.152i) q^{47} +(168.317 - 122.289i) q^{48} +145.047 q^{49} +(-307.604 + 379.302i) q^{50} +302.648 q^{51} +(401.899 - 291.997i) q^{52} +(18.2798 - 56.2594i) q^{53} +(32.5965 - 100.322i) q^{54} +(-316.879 + 300.491i) q^{55} +(-19.6461 - 60.4646i) q^{56} -282.140 q^{57} +(-61.9084 - 190.534i) q^{58} +(524.396 + 380.996i) q^{59} +(214.057 + 116.323i) q^{60} +(-530.204 + 385.216i) q^{61} +(822.588 + 597.645i) q^{62} +(-160.854 - 116.867i) q^{63} +(334.749 - 243.209i) q^{64} +(-671.875 - 365.111i) q^{65} +(370.367 + 269.088i) q^{66} +(240.635 + 740.598i) q^{67} +732.749 q^{68} +(-149.614 - 460.466i) q^{69} +(700.198 - 663.986i) q^{70} +(69.2398 - 213.098i) q^{71} +(-8.00367 + 24.6328i) q^{72} +(-281.749 + 204.703i) q^{73} -338.583 q^{74} +(19.8946 - 374.472i) q^{75} -683.098 q^{76} +(698.099 - 507.198i) q^{77} +(-247.713 + 762.382i) q^{78} +(49.9257 - 153.655i) q^{79} +(-681.267 - 370.214i) q^{80} +(25.0304 + 77.0356i) q^{81} -205.124 q^{82} +(-12.3245 - 37.9308i) q^{83} +(-389.447 - 282.950i) q^{84} +(-485.209 - 1018.20i) q^{85} +(168.702 - 122.569i) q^{86} +(124.457 + 90.4236i) q^{87} +(-90.9391 - 66.0711i) q^{88} +(375.213 - 272.608i) q^{89} +(-389.773 + 51.1724i) q^{90} +(1222.39 + 888.115i) q^{91} +(-362.236 - 1114.85i) q^{92} -780.766 q^{93} +(292.157 + 899.167i) q^{94} +(452.331 + 949.208i) q^{95} +(-229.832 + 707.352i) q^{96} +(177.512 - 546.326i) q^{97} +(-458.449 + 333.082i) q^{98} -351.537 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9} + 165 q^{10} + 19 q^{11} - 60 q^{12} + 4 q^{13} - 24 q^{14} + 45 q^{15} - 66 q^{16} + 208 q^{17} + 42 q^{19} + 295 q^{20} + 3 q^{21} - 89 q^{22} + 32 q^{23} + 126 q^{24} + 95 q^{25} + 206 q^{26} - 189 q^{27} - 482 q^{28} - 716 q^{29} - 645 q^{30} + 637 q^{31} - 844 q^{32} + 42 q^{33} - 90 q^{34} + 430 q^{35} - 180 q^{36} + 216 q^{37} + 2314 q^{38} + 12 q^{39} - 500 q^{40} - 38 q^{41} + 933 q^{42} - 1392 q^{43} + 603 q^{44} + 270 q^{45} + 1622 q^{46} - 536 q^{47} - 198 q^{48} + 162 q^{49} - 2265 q^{50} - 876 q^{51} - 1922 q^{52} + 1672 q^{53} - 1000 q^{55} + 3000 q^{56} - 1104 q^{57} - 827 q^{58} + 973 q^{59} + 1365 q^{60} - 2712 q^{61} + 1057 q^{62} + 234 q^{63} + 4439 q^{64} - 4360 q^{65} + 1098 q^{66} + 2768 q^{67} - 1370 q^{68} + 396 q^{69} + 3230 q^{70} - 1074 q^{71} - 567 q^{72} - 1018 q^{73} - 1414 q^{74} + 765 q^{75} - 11408 q^{76} + 1607 q^{77} + 168 q^{78} - 1820 q^{79} - 1290 q^{80} - 567 q^{81} + 1772 q^{82} + 4045 q^{83} + 774 q^{84} + 1850 q^{85} - 3986 q^{86} + 1392 q^{87} + 2407 q^{88} + 4542 q^{89} - 180 q^{90} + 4412 q^{91} - 1089 q^{92} - 5334 q^{93} + 5137 q^{94} - 720 q^{95} + 1623 q^{96} - 5977 q^{97} - 10689 q^{98} - 594 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

\(n\) \(26\) \(52\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.16070 + 2.29638i −1.11748 + 0.811894i −0.983825 0.179135i \(-0.942670\pi\)
−0.133651 + 0.991028i \(0.542670\pi\)
\(3\) 0.927051 2.85317i 0.178411 0.549093i
\(4\) 2.24451 6.90789i 0.280564 0.863487i
\(5\) −11.0852 + 1.45535i −0.991492 + 0.130171i
\(6\) 3.62184 + 11.1469i 0.246435 + 0.758449i
\(7\) 22.0918 1.19284 0.596422 0.802671i \(-0.296589\pi\)
0.596422 + 0.802671i \(0.296589\pi\)
\(8\) −0.889297 2.73697i −0.0393017 0.120958i
\(9\) −7.28115 5.29007i −0.269672 0.195928i
\(10\) 31.6950 30.0558i 1.00228 0.950448i
\(11\) 31.5999 22.9587i 0.866158 0.629301i −0.0633953 0.997988i \(-0.520193\pi\)
0.929553 + 0.368688i \(0.120193\pi\)
\(12\) −17.6286 12.8079i −0.424079 0.308111i
\(13\) 55.3321 + 40.2012i 1.18049 + 0.857676i 0.992227 0.124442i \(-0.0397141\pi\)
0.188264 + 0.982119i \(0.439714\pi\)
\(14\) −69.8255 + 50.7312i −1.33297 + 0.968462i
\(15\) −6.12419 + 32.9772i −0.105417 + 0.567645i
\(16\) 56.1056 + 40.7631i 0.876650 + 0.636923i
\(17\) 31.1744 + 95.9450i 0.444759 + 1.36883i 0.882747 + 0.469848i \(0.155691\pi\)
−0.437988 + 0.898981i \(0.644309\pi\)
\(18\) 35.1615 0.460425
\(19\) −29.0621 89.4438i −0.350910 1.07999i −0.958343 0.285619i \(-0.907801\pi\)
0.607433 0.794371i \(-0.292199\pi\)
\(20\) −14.8275 + 79.8420i −0.165776 + 0.892661i
\(21\) 20.4802 63.0316i 0.212817 0.654982i
\(22\) −47.1559 + 145.131i −0.456985 + 1.40646i
\(23\) 130.565 94.8612i 1.18368 0.859997i 0.191102 0.981570i \(-0.438794\pi\)
0.992582 + 0.121573i \(0.0387939\pi\)
\(24\) −8.63347 −0.0734292
\(25\) 120.764 32.2658i 0.966111 0.258126i
\(26\) −267.205 −2.01551
\(27\) −21.8435 + 15.8702i −0.155695 + 0.113119i
\(28\) 49.5852 152.608i 0.334669 1.03000i
\(29\) −15.8462 + 48.7695i −0.101468 + 0.312285i −0.988885 0.148681i \(-0.952497\pi\)
0.887418 + 0.460966i \(0.152497\pi\)
\(30\) −56.3715 118.294i −0.343066 0.719917i
\(31\) −80.4233 247.517i −0.465950 1.43405i −0.857784 0.514011i \(-0.828159\pi\)
0.391834 0.920036i \(-0.371841\pi\)
\(32\) −247.918 −1.36957
\(33\) −36.2103 111.444i −0.191012 0.587875i
\(34\) −318.859 231.665i −1.60835 1.16854i
\(35\) −244.892 + 32.1513i −1.18269 + 0.155273i
\(36\) −52.8858 + 38.4238i −0.244842 + 0.177888i
\(37\) 70.1129 + 50.9400i 0.311527 + 0.226337i 0.732551 0.680712i \(-0.238329\pi\)
−0.421025 + 0.907049i \(0.638329\pi\)
\(38\) 297.254 + 215.967i 1.26897 + 0.921961i
\(39\) 165.996 120.603i 0.681556 0.495180i
\(40\) 13.8413 + 29.0457i 0.0547126 + 0.114813i
\(41\) 42.4765 + 30.8610i 0.161798 + 0.117553i 0.665738 0.746185i \(-0.268117\pi\)
−0.503940 + 0.863739i \(0.668117\pi\)
\(42\) 80.0128 + 246.254i 0.293958 + 0.904711i
\(43\) −53.3748 −0.189293 −0.0946463 0.995511i \(-0.530172\pi\)
−0.0946463 + 0.995511i \(0.530172\pi\)
\(44\) −87.6698 269.820i −0.300380 0.924475i
\(45\) 88.4120 + 48.0449i 0.292882 + 0.159158i
\(46\) −194.840 + 599.656i −0.624512 + 1.92205i
\(47\) 74.7809 230.152i 0.232083 0.714279i −0.765412 0.643541i \(-0.777465\pi\)
0.997495 0.0707380i \(-0.0225354\pi\)
\(48\) 168.317 122.289i 0.506134 0.367728i
\(49\) 145.047 0.422876
\(50\) −307.604 + 379.302i −0.870035 + 1.07283i
\(51\) 302.648 0.830964
\(52\) 401.899 291.997i 1.07179 0.778705i
\(53\) 18.2798 56.2594i 0.0473759 0.145808i −0.924570 0.381012i \(-0.875576\pi\)
0.971946 + 0.235204i \(0.0755757\pi\)
\(54\) 32.5965 100.322i 0.0821450 0.252816i
\(55\) −316.879 + 300.491i −0.776872 + 0.736695i
\(56\) −19.6461 60.4646i −0.0468808 0.144284i
\(57\) −282.140 −0.655621
\(58\) −61.9084 190.534i −0.140155 0.431352i
\(59\) 524.396 + 380.996i 1.15713 + 0.840703i 0.989412 0.145132i \(-0.0463607\pi\)
0.167716 + 0.985835i \(0.446361\pi\)
\(60\) 214.057 + 116.323i 0.460577 + 0.250287i
\(61\) −530.204 + 385.216i −1.11288 + 0.808555i −0.983115 0.182990i \(-0.941422\pi\)
−0.129765 + 0.991545i \(0.541422\pi\)
\(62\) 822.588 + 597.645i 1.68498 + 1.22421i
\(63\) −160.854 116.867i −0.321677 0.233712i
\(64\) 334.749 243.209i 0.653807 0.475018i
\(65\) −671.875 365.111i −1.28209 0.696714i
\(66\) 370.367 + 269.088i 0.690744 + 0.501855i
\(67\) 240.635 + 740.598i 0.438779 + 1.35042i 0.889164 + 0.457589i \(0.151287\pi\)
−0.450384 + 0.892835i \(0.648713\pi\)
\(68\) 732.749 1.30675
\(69\) −149.614 460.466i −0.261036 0.803385i
\(70\) 700.198 663.986i 1.19557 1.13374i
\(71\) 69.2398 213.098i 0.115736 0.356199i −0.876364 0.481650i \(-0.840038\pi\)
0.992100 + 0.125451i \(0.0400378\pi\)
\(72\) −8.00367 + 24.6328i −0.0131006 + 0.0403194i
\(73\) −281.749 + 204.703i −0.451729 + 0.328200i −0.790278 0.612748i \(-0.790064\pi\)
0.338549 + 0.940949i \(0.390064\pi\)
\(74\) −338.583 −0.531886
\(75\) 19.8946 374.472i 0.0306297 0.576537i
\(76\) −683.098 −1.03101
\(77\) 698.099 507.198i 1.03319 0.750657i
\(78\) −247.713 + 762.382i −0.359590 + 1.10670i
\(79\) 49.9257 153.655i 0.0711022 0.218830i −0.909191 0.416380i \(-0.863299\pi\)
0.980293 + 0.197550i \(0.0632985\pi\)
\(80\) −681.267 370.214i −0.952099 0.517390i
\(81\) 25.0304 + 77.0356i 0.0343352 + 0.105673i
\(82\) −205.124 −0.276246
\(83\) −12.3245 37.9308i −0.0162986 0.0501620i 0.942576 0.333991i \(-0.108395\pi\)
−0.958875 + 0.283829i \(0.908395\pi\)
\(84\) −389.447 282.950i −0.505859 0.367528i
\(85\) −485.209 1018.20i −0.619156 1.29929i
\(86\) 168.702 122.569i 0.211530 0.153685i
\(87\) 124.457 + 90.4236i 0.153370 + 0.111430i
\(88\) −90.9391 66.0711i −0.110161 0.0800364i
\(89\) 375.213 272.608i 0.446882 0.324679i −0.341481 0.939889i \(-0.610929\pi\)
0.788364 + 0.615210i \(0.210929\pi\)
\(90\) −389.773 + 51.1724i −0.456508 + 0.0599339i
\(91\) 1222.39 + 888.115i 1.40814 + 1.02307i
\(92\) −362.236 1114.85i −0.410497 1.26338i
\(93\) −780.766 −0.870555
\(94\) 292.157 + 899.167i 0.320571 + 0.986617i
\(95\) 452.331 + 949.208i 0.488508 + 1.02512i
\(96\) −229.832 + 707.352i −0.244346 + 0.752018i
\(97\) 177.512 546.326i 0.185810 0.571866i −0.814151 0.580653i \(-0.802797\pi\)
0.999961 + 0.00878766i \(0.00279724\pi\)
\(98\) −458.449 + 333.082i −0.472554 + 0.343331i
\(99\) −351.537 −0.356877
\(100\) 48.1674 906.645i 0.0481674 0.906645i
\(101\) −1074.69 −1.05877 −0.529383 0.848383i \(-0.677577\pi\)
−0.529383 + 0.848383i \(0.677577\pi\)
\(102\) −956.578 + 694.995i −0.928582 + 0.674654i
\(103\) 288.232 887.086i 0.275731 0.848613i −0.713294 0.700865i \(-0.752797\pi\)
0.989025 0.147748i \(-0.0472025\pi\)
\(104\) 60.8228 187.193i 0.0573478 0.176498i
\(105\) −135.294 + 728.524i −0.125746 + 0.677111i
\(106\) 71.4162 + 219.797i 0.0654392 + 0.201401i
\(107\) −1102.95 −0.996511 −0.498255 0.867030i \(-0.666026\pi\)
−0.498255 + 0.867030i \(0.666026\pi\)
\(108\) 60.6018 + 186.513i 0.0539945 + 0.166178i
\(109\) 1186.41 + 861.976i 1.04254 + 0.757453i 0.970781 0.239969i \(-0.0771373\pi\)
0.0717636 + 0.997422i \(0.477137\pi\)
\(110\) 311.517 1677.44i 0.270018 1.45398i
\(111\) 210.339 152.820i 0.179860 0.130676i
\(112\) 1239.47 + 900.529i 1.04571 + 0.759750i
\(113\) 1253.89 + 911.005i 1.04386 + 0.758408i 0.971035 0.238936i \(-0.0767988\pi\)
0.0728243 + 0.997345i \(0.476799\pi\)
\(114\) 891.761 647.902i 0.732641 0.532295i
\(115\) −1309.29 + 1241.58i −1.06167 + 1.00676i
\(116\) 301.327 + 218.927i 0.241186 + 0.175232i
\(117\) −190.215 585.422i −0.150302 0.462583i
\(118\) −2532.37 −1.97563
\(119\) 688.699 + 2119.60i 0.530528 + 1.63280i
\(120\) 95.7039 12.5647i 0.0728044 0.00955832i
\(121\) 60.1524 185.130i 0.0451934 0.139091i
\(122\) 791.213 2435.10i 0.587156 1.80708i
\(123\) 127.430 92.5830i 0.0934142 0.0678694i
\(124\) −1890.33 −1.36901
\(125\) −1291.74 + 533.427i −0.924291 + 0.381689i
\(126\) 776.781 0.549216
\(127\) −786.360 + 571.324i −0.549434 + 0.399187i −0.827577 0.561352i \(-0.810281\pi\)
0.278143 + 0.960540i \(0.410281\pi\)
\(128\) 113.347 348.848i 0.0782703 0.240891i
\(129\) −49.4811 + 152.287i −0.0337719 + 0.103939i
\(130\) 2962.03 388.878i 1.99836 0.262360i
\(131\) −360.986 1111.00i −0.240760 0.740982i −0.996305 0.0858855i \(-0.972628\pi\)
0.755545 0.655096i \(-0.227372\pi\)
\(132\) −851.116 −0.561213
\(133\) −642.032 1975.97i −0.418581 1.28826i
\(134\) −2461.27 1788.22i −1.58673 1.15282i
\(135\) 219.043 207.714i 0.139646 0.132424i
\(136\) 234.876 170.647i 0.148091 0.107595i
\(137\) −867.865 630.541i −0.541217 0.393217i 0.283320 0.959025i \(-0.408564\pi\)
−0.824537 + 0.565808i \(0.808564\pi\)
\(138\) 1530.29 + 1111.82i 0.943965 + 0.685831i
\(139\) 276.953 201.218i 0.168999 0.122785i −0.500071 0.865984i \(-0.666693\pi\)
0.669070 + 0.743200i \(0.266693\pi\)
\(140\) −327.565 + 1763.85i −0.197745 + 1.06480i
\(141\) −587.337 426.725i −0.350799 0.254871i
\(142\) 270.509 + 832.540i 0.159863 + 0.492009i
\(143\) 2671.46 1.56223
\(144\) −192.874 593.604i −0.111617 0.343521i
\(145\) 104.681 563.682i 0.0599539 0.322836i
\(146\) 420.448 1294.01i 0.238333 0.733512i
\(147\) 134.466 413.843i 0.0754458 0.232198i
\(148\) 509.257 369.997i 0.282842 0.205497i
\(149\) 1268.97 0.697704 0.348852 0.937178i \(-0.386572\pi\)
0.348852 + 0.937178i \(0.386572\pi\)
\(150\) 797.050 + 1229.28i 0.433859 + 0.669134i
\(151\) −1863.93 −1.00453 −0.502266 0.864713i \(-0.667500\pi\)
−0.502266 + 0.864713i \(0.667500\pi\)
\(152\) −218.961 + 159.084i −0.116842 + 0.0848910i
\(153\) 280.570 863.505i 0.148253 0.456276i
\(154\) −1041.76 + 3206.20i −0.545112 + 1.67768i
\(155\) 1251.73 + 2626.74i 0.648656 + 1.36119i
\(156\) −460.535 1417.38i −0.236361 0.727444i
\(157\) −1891.87 −0.961705 −0.480852 0.876802i \(-0.659673\pi\)
−0.480852 + 0.876802i \(0.659673\pi\)
\(158\) 195.051 + 600.307i 0.0982118 + 0.302265i
\(159\) −143.571 104.311i −0.0716098 0.0520275i
\(160\) 2748.22 360.808i 1.35791 0.178277i
\(161\) 2884.42 2095.65i 1.41195 1.02584i
\(162\) −256.017 186.007i −0.124164 0.0902104i
\(163\) −2559.85 1859.84i −1.23008 0.893705i −0.233183 0.972433i \(-0.574914\pi\)
−0.996896 + 0.0787280i \(0.974914\pi\)
\(164\) 308.524 224.155i 0.146900 0.106729i
\(165\) 563.589 + 1182.68i 0.265911 + 0.558009i
\(166\) 126.057 + 91.5861i 0.0589395 + 0.0428220i
\(167\) 1089.41 + 3352.87i 0.504798 + 1.55361i 0.801110 + 0.598517i \(0.204243\pi\)
−0.296312 + 0.955091i \(0.595757\pi\)
\(168\) −190.729 −0.0875896
\(169\) 766.603 + 2359.36i 0.348932 + 1.07390i
\(170\) 3871.78 + 2104.00i 1.74678 + 0.949233i
\(171\) −261.559 + 804.994i −0.116970 + 0.359997i
\(172\) −119.800 + 368.707i −0.0531086 + 0.163452i
\(173\) −3140.81 + 2281.93i −1.38030 + 1.00285i −0.383446 + 0.923563i \(0.625263\pi\)
−0.996852 + 0.0792825i \(0.974737\pi\)
\(174\) −601.019 −0.261857
\(175\) 2667.89 712.808i 1.15242 0.307904i
\(176\) 2708.80 1.16013
\(177\) 1573.19 1142.99i 0.668069 0.485380i
\(178\) −559.923 + 1723.27i −0.235775 + 0.725641i
\(179\) 154.209 474.606i 0.0643917 0.198177i −0.913685 0.406424i \(-0.866776\pi\)
0.978076 + 0.208247i \(0.0667756\pi\)
\(180\) 530.331 502.904i 0.219603 0.208246i
\(181\) −1375.55 4233.49i −0.564881 1.73853i −0.668304 0.743888i \(-0.732979\pi\)
0.103422 0.994638i \(-0.467021\pi\)
\(182\) −5903.04 −2.40419
\(183\) 607.560 + 1869.88i 0.245421 + 0.755330i
\(184\) −375.744 272.994i −0.150545 0.109377i
\(185\) −851.352 462.642i −0.338339 0.183860i
\(186\) 2467.77 1792.94i 0.972824 0.706798i
\(187\) 3187.88 + 2316.13i 1.24664 + 0.905734i
\(188\) −1422.02 1033.16i −0.551656 0.400802i
\(189\) −482.561 + 350.601i −0.185720 + 0.134934i
\(190\) −3609.43 1961.44i −1.37819 0.748934i
\(191\) −3212.06 2333.70i −1.21684 0.884088i −0.221008 0.975272i \(-0.570935\pi\)
−0.995834 + 0.0911844i \(0.970935\pi\)
\(192\) −383.588 1180.56i −0.144183 0.443749i
\(193\) 3115.35 1.16190 0.580952 0.813938i \(-0.302680\pi\)
0.580952 + 0.813938i \(0.302680\pi\)
\(194\) 693.510 + 2134.41i 0.256655 + 0.789904i
\(195\) −1664.59 + 1578.50i −0.611300 + 0.579685i
\(196\) 325.559 1001.97i 0.118644 0.365148i
\(197\) −445.849 + 1372.18i −0.161246 + 0.496263i −0.998740 0.0501827i \(-0.984020\pi\)
0.837494 + 0.546446i \(0.184020\pi\)
\(198\) 1111.10 807.263i 0.398801 0.289746i
\(199\) −2015.36 −0.717916 −0.358958 0.933354i \(-0.616868\pi\)
−0.358958 + 0.933354i \(0.616868\pi\)
\(200\) −195.706 301.834i −0.0691924 0.106714i
\(201\) 2336.13 0.819791
\(202\) 3396.76 2467.89i 1.18315 0.859606i
\(203\) −350.070 + 1077.40i −0.121035 + 0.372507i
\(204\) 679.296 2090.66i 0.233138 0.717526i
\(205\) −515.775 280.283i −0.175723 0.0954916i
\(206\) 1126.07 + 3465.70i 0.380861 + 1.17217i
\(207\) −1452.49 −0.487705
\(208\) 1465.72 + 4511.02i 0.488602 + 1.50376i
\(209\) −2971.87 2159.19i −0.983582 0.714614i
\(210\) −1245.35 2613.33i −0.409224 0.858748i
\(211\) 192.025 139.514i 0.0626517 0.0455192i −0.556019 0.831170i \(-0.687672\pi\)
0.618670 + 0.785651i \(0.287672\pi\)
\(212\) −347.605 252.550i −0.112611 0.0818169i
\(213\) −543.816 395.106i −0.174937 0.127100i
\(214\) 3486.11 2532.80i 1.11358 0.809061i
\(215\) 591.671 77.6791i 0.187682 0.0246403i
\(216\) 62.8616 + 45.6717i 0.0198018 + 0.0143869i
\(217\) −1776.69 5468.10i −0.555806 1.71059i
\(218\) −5729.31 −1.77999
\(219\) 322.856 + 993.647i 0.0996190 + 0.306596i
\(220\) 1364.52 + 2863.42i 0.418164 + 0.877508i
\(221\) −2132.15 + 6562.09i −0.648978 + 1.99735i
\(222\) −313.884 + 966.036i −0.0948943 + 0.292054i
\(223\) 236.890 172.111i 0.0711361 0.0516834i −0.551649 0.834076i \(-0.686001\pi\)
0.622785 + 0.782393i \(0.286001\pi\)
\(224\) −5476.95 −1.63368
\(225\) −1049.99 403.917i −0.311108 0.119679i
\(226\) −6055.19 −1.78223
\(227\) −172.374 + 125.237i −0.0504003 + 0.0366180i −0.612700 0.790315i \(-0.709917\pi\)
0.562300 + 0.826933i \(0.309917\pi\)
\(228\) −633.267 + 1949.00i −0.183944 + 0.566120i
\(229\) −1001.94 + 3083.67i −0.289128 + 0.889845i 0.696003 + 0.718039i \(0.254960\pi\)
−0.985131 + 0.171806i \(0.945040\pi\)
\(230\) 1287.13 6930.87i 0.369004 1.98699i
\(231\) −799.950 2461.99i −0.227848 0.701243i
\(232\) 147.573 0.0417613
\(233\) −1229.34 3783.53i −0.345652 1.06381i −0.961234 0.275735i \(-0.911079\pi\)
0.615582 0.788073i \(-0.288921\pi\)
\(234\) 1945.56 + 1413.53i 0.543528 + 0.394896i
\(235\) −494.010 + 2660.12i −0.137131 + 0.738412i
\(236\) 3808.89 2767.32i 1.05058 0.763294i
\(237\) −392.121 284.893i −0.107473 0.0780834i
\(238\) −7044.17 5117.89i −1.91851 1.39388i
\(239\) 3905.56 2837.55i 1.05703 0.767975i 0.0834914 0.996508i \(-0.473393\pi\)
0.973536 + 0.228533i \(0.0733929\pi\)
\(240\) −1687.85 + 1600.56i −0.453960 + 0.430483i
\(241\) 1630.46 + 1184.60i 0.435798 + 0.316625i 0.783963 0.620808i \(-0.213195\pi\)
−0.348165 + 0.937433i \(0.613195\pi\)
\(242\) 235.006 + 723.273i 0.0624245 + 0.192123i
\(243\) 243.000 0.0641500
\(244\) 1470.98 + 4527.21i 0.385942 + 1.18781i
\(245\) −1607.87 + 211.094i −0.419278 + 0.0550461i
\(246\) −190.161 + 585.254i −0.0492854 + 0.151685i
\(247\) 1987.68 6117.45i 0.512036 1.57589i
\(248\) −605.929 + 440.233i −0.155147 + 0.112721i
\(249\) −119.648 −0.0304514
\(250\) 2857.84 4652.32i 0.722981 1.17695i
\(251\) −278.293 −0.0699830 −0.0349915 0.999388i \(-0.511140\pi\)
−0.0349915 + 0.999388i \(0.511140\pi\)
\(252\) −1168.34 + 848.850i −0.292058 + 0.212193i
\(253\) 1947.96 5995.22i 0.484061 1.48979i
\(254\) 1173.47 3611.57i 0.289882 0.892165i
\(255\) −3354.91 + 440.459i −0.823894 + 0.108167i
\(256\) 1465.73 + 4511.06i 0.357845 + 1.10133i
\(257\) −2149.20 −0.521647 −0.260823 0.965387i \(-0.583994\pi\)
−0.260823 + 0.965387i \(0.583994\pi\)
\(258\) −193.315 594.962i −0.0466483 0.143569i
\(259\) 1548.92 + 1125.36i 0.371603 + 0.269985i
\(260\) −4030.18 + 3821.75i −0.961311 + 0.911595i
\(261\) 373.372 271.271i 0.0885485 0.0643342i
\(262\) 3692.25 + 2682.58i 0.870641 + 0.632558i
\(263\) 5778.91 + 4198.62i 1.35492 + 0.984404i 0.998750 + 0.0499805i \(0.0159159\pi\)
0.356165 + 0.934423i \(0.384084\pi\)
\(264\) −272.817 + 198.213i −0.0636013 + 0.0462090i
\(265\) −120.758 + 650.251i −0.0279929 + 0.150734i
\(266\) 6566.86 + 4771.10i 1.51368 + 1.09976i
\(267\) −429.956 1323.27i −0.0985501 0.303306i
\(268\) 5656.08 1.28918
\(269\) 273.812 + 842.706i 0.0620617 + 0.191006i 0.977280 0.211952i \(-0.0679820\pi\)
−0.915218 + 0.402958i \(0.867982\pi\)
\(270\) −215.336 + 1159.53i −0.0485368 + 0.261358i
\(271\) −238.067 + 732.696i −0.0533637 + 0.164237i −0.974187 0.225745i \(-0.927519\pi\)
0.920823 + 0.389981i \(0.127519\pi\)
\(272\) −2161.96 + 6653.82i −0.481941 + 1.48326i
\(273\) 3667.16 2664.34i 0.812990 0.590672i
\(274\) 4191.02 0.924047
\(275\) 3075.35 3792.18i 0.674366 0.831552i
\(276\) −3516.66 −0.766950
\(277\) 6061.62 4404.02i 1.31483 0.955278i 0.314847 0.949142i \(-0.398047\pi\)
0.999981 0.00613595i \(-0.00195315\pi\)
\(278\) −413.291 + 1271.98i −0.0891639 + 0.274418i
\(279\) −723.810 + 2227.66i −0.155317 + 0.478016i
\(280\) 305.779 + 641.671i 0.0652635 + 0.136954i
\(281\) 678.424 + 2087.98i 0.144026 + 0.443267i 0.996884 0.0788752i \(-0.0251329\pi\)
−0.852858 + 0.522143i \(0.825133\pi\)
\(282\) 2836.32 0.598937
\(283\) 1728.33 + 5319.25i 0.363033 + 1.11730i 0.951203 + 0.308564i \(0.0998485\pi\)
−0.588170 + 0.808737i \(0.700151\pi\)
\(284\) −1316.65 956.602i −0.275101 0.199873i
\(285\) 3127.59 410.614i 0.650043 0.0853426i
\(286\) −8443.67 + 6134.69i −1.74575 + 1.26836i
\(287\) 938.382 + 681.775i 0.193000 + 0.140223i
\(288\) 1805.13 + 1311.50i 0.369334 + 0.268337i
\(289\) −4258.90 + 3094.27i −0.866864 + 0.629814i
\(290\) 963.562 + 2022.02i 0.195111 + 0.409437i
\(291\) −1394.20 1012.94i −0.280857 0.204054i
\(292\) 781.675 + 2405.75i 0.156658 + 0.482143i
\(293\) −2905.73 −0.579367 −0.289684 0.957122i \(-0.593550\pi\)
−0.289684 + 0.957122i \(0.593550\pi\)
\(294\) 525.335 + 1616.82i 0.104211 + 0.320730i
\(295\) −6367.53 3460.24i −1.25672 0.682926i
\(296\) 77.0703 237.198i 0.0151339 0.0465772i
\(297\) −325.893 + 1002.99i −0.0636707 + 0.195958i
\(298\) −4010.83 + 2914.04i −0.779667 + 0.566461i
\(299\) 11038.0 2.13493
\(300\) −2542.16 977.936i −0.489239 0.188204i
\(301\) −1179.14 −0.225796
\(302\) 5891.32 4280.29i 1.12254 0.815573i
\(303\) −996.290 + 3066.27i −0.188896 + 0.581361i
\(304\) 2015.46 6202.96i 0.380246 1.17028i
\(305\) 5316.80 5041.83i 0.998161 0.946540i
\(306\) 1096.14 + 3373.58i 0.204778 + 0.630243i
\(307\) −1896.85 −0.352635 −0.176317 0.984333i \(-0.556419\pi\)
−0.176317 + 0.984333i \(0.556419\pi\)
\(308\) −1936.78 5960.80i −0.358306 1.10275i
\(309\) −2263.80 1644.75i −0.416774 0.302804i
\(310\) −9988.35 5427.87i −1.83000 0.994459i
\(311\) −7137.00 + 5185.33i −1.30129 + 0.945444i −0.999967 0.00807744i \(-0.997429\pi\)
−0.301325 + 0.953522i \(0.597429\pi\)
\(312\) −477.709 347.076i −0.0866825 0.0629785i
\(313\) 6034.71 + 4384.47i 1.08978 + 0.791774i 0.979363 0.202111i \(-0.0647803\pi\)
0.110420 + 0.993885i \(0.464780\pi\)
\(314\) 5979.63 4344.46i 1.07468 0.780802i
\(315\) 1953.18 + 1061.40i 0.349362 + 0.189851i
\(316\) −949.376 689.762i −0.169008 0.122792i
\(317\) −1742.87 5364.01i −0.308799 0.950387i −0.978232 0.207514i \(-0.933463\pi\)
0.669433 0.742873i \(-0.266537\pi\)
\(318\) 693.323 0.122263
\(319\) 618.946 + 1904.92i 0.108634 + 0.334342i
\(320\) −3356.81 + 3183.21i −0.586410 + 0.556083i
\(321\) −1022.50 + 3146.92i −0.177788 + 0.547177i
\(322\) −4304.36 + 13247.5i −0.744946 + 2.29271i
\(323\) 7675.70 5576.72i 1.32225 0.960672i
\(324\) 588.334 0.100880
\(325\) 7979.25 + 3069.51i 1.36187 + 0.523895i
\(326\) 12361.8 2.10018
\(327\) 3559.23 2585.93i 0.601913 0.437316i
\(328\) 46.6915 143.702i 0.00786009 0.0241909i
\(329\) 1652.04 5084.47i 0.276839 0.852023i
\(330\) −4497.22 2443.88i −0.750193 0.407670i
\(331\) 1361.95 + 4191.66i 0.226162 + 0.696055i 0.998172 + 0.0604442i \(0.0192517\pi\)
−0.772010 + 0.635611i \(0.780748\pi\)
\(332\) −289.684 −0.0478870
\(333\) −241.027 741.804i −0.0396642 0.122074i
\(334\) −11142.8 8095.69i −1.82546 1.32628i
\(335\) −3745.32 7859.48i −0.610832 1.28182i
\(336\) 3718.42 2701.59i 0.603739 0.438642i
\(337\) −3620.77 2630.64i −0.585269 0.425223i 0.255351 0.966848i \(-0.417809\pi\)
−0.840620 + 0.541626i \(0.817809\pi\)
\(338\) −7841.00 5696.82i −1.26182 0.916763i
\(339\) 3761.67 2733.02i 0.602673 0.437867i
\(340\) −8122.68 + 1066.41i −1.29563 + 0.170100i
\(341\) −8224.05 5975.12i −1.30603 0.948888i
\(342\) −1021.87 3144.98i −0.161568 0.497255i
\(343\) −4373.14 −0.688418
\(344\) 47.4660 + 146.085i 0.00743952 + 0.0228965i
\(345\) 2328.65 + 4886.62i 0.363392 + 0.762571i
\(346\) 4686.97 14425.0i 0.728246 2.24131i
\(347\) −216.151 + 665.244i −0.0334397 + 0.102917i −0.966383 0.257106i \(-0.917231\pi\)
0.932944 + 0.360023i \(0.117231\pi\)
\(348\) 903.982 656.781i 0.139249 0.101170i
\(349\) −7119.97 −1.09204 −0.546022 0.837771i \(-0.683858\pi\)
−0.546022 + 0.837771i \(0.683858\pi\)
\(350\) −6795.51 + 8379.46i −1.03782 + 1.27972i
\(351\) −1846.65 −0.280817
\(352\) −7834.19 + 5691.87i −1.18626 + 0.861868i
\(353\) −1094.30 + 3367.90i −0.164996 + 0.507806i −0.999036 0.0438984i \(-0.986022\pi\)
0.834040 + 0.551704i \(0.186022\pi\)
\(354\) −2347.64 + 7225.29i −0.352473 + 1.08480i
\(355\) −457.405 + 2463.01i −0.0683846 + 0.368233i
\(356\) −1040.98 3203.80i −0.154977 0.476970i
\(357\) 6686.03 0.991210
\(358\) 602.470 + 1854.21i 0.0889428 + 0.273738i
\(359\) −9430.47 6851.64i −1.38641 1.00729i −0.996248 0.0865388i \(-0.972419\pi\)
−0.390161 0.920747i \(-0.627581\pi\)
\(360\) 52.8731 284.708i 0.00774071 0.0416817i
\(361\) −1606.55 + 1167.22i −0.234224 + 0.170174i
\(362\) 14069.4 + 10222.0i 2.04274 + 1.48414i
\(363\) −472.443 343.250i −0.0683108 0.0496307i
\(364\) 8878.66 6450.72i 1.27848 0.928873i
\(365\) 2825.33 2679.22i 0.405164 0.384210i
\(366\) −6214.27 4514.93i −0.887500 0.644806i
\(367\) 22.7126 + 69.9022i 0.00323048 + 0.00994241i 0.952659 0.304042i \(-0.0983362\pi\)
−0.949428 + 0.313984i \(0.898336\pi\)
\(368\) 11192.3 1.58543
\(369\) −146.021 449.407i −0.0206005 0.0634017i
\(370\) 3753.27 492.758i 0.527360 0.0692359i
\(371\) 403.833 1242.87i 0.0565121 0.173926i
\(372\) −1752.44 + 5393.45i −0.244246 + 0.751713i
\(373\) −2082.90 + 1513.32i −0.289139 + 0.210071i −0.722894 0.690959i \(-0.757188\pi\)
0.433755 + 0.901031i \(0.357188\pi\)
\(374\) −15394.7 −2.12845
\(375\) 324.453 + 4180.05i 0.0446791 + 0.575619i
\(376\) −696.422 −0.0955193
\(377\) −2837.39 + 2061.48i −0.387621 + 0.281623i
\(378\) 720.116 2216.29i 0.0979861 0.301570i
\(379\) 18.7531 57.7162i 0.00254164 0.00782238i −0.949778 0.312926i \(-0.898691\pi\)
0.952319 + 0.305103i \(0.0986910\pi\)
\(380\) 7572.29 994.148i 1.02224 0.134207i
\(381\) 901.088 + 2773.26i 0.121166 + 0.372910i
\(382\) 15511.4 2.07758
\(383\) 1174.60 + 3615.05i 0.156708 + 0.482299i 0.998330 0.0577690i \(-0.0183987\pi\)
−0.841622 + 0.540068i \(0.818399\pi\)
\(384\) −890.242 646.799i −0.118307 0.0859553i
\(385\) −7000.42 + 6638.38i −0.926687 + 0.878762i
\(386\) −9846.67 + 7154.02i −1.29840 + 0.943343i
\(387\) 388.630 + 282.356i 0.0510470 + 0.0370878i
\(388\) −3375.53 2452.47i −0.441667 0.320890i
\(389\) −7911.32 + 5747.91i −1.03116 + 0.749179i −0.968540 0.248858i \(-0.919945\pi\)
−0.0626169 + 0.998038i \(0.519945\pi\)
\(390\) 1636.42 8811.68i 0.212470 1.14409i
\(391\) 13171.8 + 9569.84i 1.70364 + 1.23777i
\(392\) −128.989 396.989i −0.0166198 0.0511504i
\(393\) −3504.53 −0.449822
\(394\) −1741.86 5360.89i −0.222725 0.685477i
\(395\) −329.814 + 1775.96i −0.0420120 + 0.226224i
\(396\) −789.028 + 2428.38i −0.100127 + 0.308158i
\(397\) −4430.53 + 13635.8i −0.560106 + 1.72383i 0.121957 + 0.992535i \(0.461083\pi\)
−0.682063 + 0.731294i \(0.738917\pi\)
\(398\) 6369.95 4628.04i 0.802253 0.582871i
\(399\) −6232.98 −0.782054
\(400\) 8090.78 + 3112.42i 1.01135 + 0.389052i
\(401\) 2086.59 0.259849 0.129924 0.991524i \(-0.458527\pi\)
0.129924 + 0.991524i \(0.458527\pi\)
\(402\) −7383.81 + 5364.65i −0.916097 + 0.665583i
\(403\) 5500.49 16928.8i 0.679899 2.09251i
\(404\) −2412.15 + 7423.83i −0.297052 + 0.914231i
\(405\) −389.581 817.528i −0.0477986 0.100304i
\(406\) −1367.67 4209.24i −0.167183 0.514535i
\(407\) 3385.08 0.412266
\(408\) −269.144 828.339i −0.0326583 0.100512i
\(409\) 338.014 + 245.582i 0.0408649 + 0.0296901i 0.608030 0.793914i \(-0.291960\pi\)
−0.567165 + 0.823604i \(0.691960\pi\)
\(410\) 2273.85 298.528i 0.273896 0.0359591i
\(411\) −2603.59 + 1891.62i −0.312472 + 0.227024i
\(412\) −5480.95 3982.15i −0.655406 0.476180i
\(413\) 11584.8 + 8416.88i 1.38027 + 1.00283i
\(414\) 4590.88 3335.47i 0.544998 0.395964i
\(415\) 191.822 + 402.534i 0.0226896 + 0.0476136i
\(416\) −13717.8 9966.58i −1.61676 1.17464i
\(417\) −317.360 976.733i −0.0372690 0.114702i
\(418\) 14351.5 1.67932
\(419\) −385.525 1186.52i −0.0449502 0.138342i 0.926063 0.377370i \(-0.123171\pi\)
−0.971013 + 0.239027i \(0.923171\pi\)
\(420\) 4728.90 + 2569.78i 0.549397 + 0.298553i
\(421\) 3257.63 10026.0i 0.377119 1.16065i −0.564919 0.825147i \(-0.691092\pi\)
0.942038 0.335507i \(-0.108908\pi\)
\(422\) −286.554 + 881.924i −0.0330551 + 0.101733i
\(423\) −1762.01 + 1280.18i −0.202534 + 0.147150i
\(424\) −170.237 −0.0194987
\(425\) 6860.49 + 10580.8i 0.783018 + 1.20764i
\(426\) 2626.15 0.298680
\(427\) −11713.2 + 8510.10i −1.32749 + 0.964480i
\(428\) −2475.59 + 7619.09i −0.279585 + 0.860473i
\(429\) 2476.58 7622.12i 0.278719 0.857808i
\(430\) −1691.71 + 1604.22i −0.189725 + 0.179913i
\(431\) −2759.44 8492.68i −0.308393 0.949137i −0.978389 0.206772i \(-0.933704\pi\)
0.669996 0.742365i \(-0.266296\pi\)
\(432\) −1872.46 −0.208539
\(433\) 750.382 + 2309.44i 0.0832819 + 0.256315i 0.984023 0.178041i \(-0.0569759\pi\)
−0.900741 + 0.434356i \(0.856976\pi\)
\(434\) 18172.4 + 13203.1i 2.00992 + 1.46029i
\(435\) −1511.23 821.235i −0.166570 0.0905177i
\(436\) 8617.34 6260.87i 0.946550 0.687709i
\(437\) −12279.2 8921.39i −1.34416 0.976586i
\(438\) −3302.24 2399.22i −0.360245 0.261733i
\(439\) 7139.64 5187.25i 0.776211 0.563950i −0.127629 0.991822i \(-0.540737\pi\)
0.903839 + 0.427872i \(0.140737\pi\)
\(440\) 1104.24 + 600.064i 0.119642 + 0.0650157i
\(441\) −1056.11 767.306i −0.114038 0.0828535i
\(442\) −8329.98 25637.0i −0.896418 2.75889i
\(443\) −11494.3 −1.23275 −0.616377 0.787451i \(-0.711400\pi\)
−0.616377 + 0.787451i \(0.711400\pi\)
\(444\) −583.557 1796.00i −0.0623747 0.191970i
\(445\) −3762.58 + 3567.99i −0.400816 + 0.380087i
\(446\) −353.506 + 1087.98i −0.0375314 + 0.115510i
\(447\) 1176.40 3620.58i 0.124478 0.383104i
\(448\) 7395.20 5372.93i 0.779889 0.566623i
\(449\) 1582.63 0.166345 0.0831727 0.996535i \(-0.473495\pi\)
0.0831727 + 0.996535i \(0.473495\pi\)
\(450\) 4246.25 1134.51i 0.444822 0.118848i
\(451\) 2050.78 0.214119
\(452\) 9107.50 6616.98i 0.947745 0.688577i
\(453\) −1727.96 + 5318.10i −0.179220 + 0.551581i
\(454\) 257.230 791.673i 0.0265912 0.0818394i
\(455\) −14842.9 8065.94i −1.52933 0.831071i
\(456\) 250.907 + 772.211i 0.0257671 + 0.0793028i
\(457\) 6765.77 0.692537 0.346269 0.938135i \(-0.387449\pi\)
0.346269 + 0.938135i \(0.387449\pi\)
\(458\) −3914.43 12047.4i −0.399366 1.22912i
\(459\) −2203.62 1601.03i −0.224088 0.162809i
\(460\) 5637.96 + 11831.1i 0.571459 + 1.19920i
\(461\) −9394.53 + 6825.53i −0.949126 + 0.689580i −0.950600 0.310419i \(-0.899531\pi\)
0.00147406 + 0.999999i \(0.499531\pi\)
\(462\) 8182.08 + 5944.63i 0.823949 + 0.598634i
\(463\) 3221.48 + 2340.54i 0.323358 + 0.234934i 0.737607 0.675230i \(-0.235956\pi\)
−0.414249 + 0.910164i \(0.635956\pi\)
\(464\) −2877.05 + 2090.30i −0.287853 + 0.209137i
\(465\) 8654.95 1136.29i 0.863148 0.113321i
\(466\) 12574.0 + 9135.55i 1.24996 + 0.908147i
\(467\) 3420.76 + 10528.0i 0.338959 + 1.04321i 0.964739 + 0.263208i \(0.0847806\pi\)
−0.625780 + 0.779999i \(0.715219\pi\)
\(468\) −4470.97 −0.441604
\(469\) 5316.05 + 16361.1i 0.523395 + 1.61085i
\(470\) −4547.23 9542.26i −0.446272 0.936493i
\(471\) −1753.86 + 5397.83i −0.171579 + 0.528065i
\(472\) 576.433 1774.08i 0.0562129 0.173005i
\(473\) −1686.64 + 1225.42i −0.163957 + 0.119122i
\(474\) 1893.60 0.183493
\(475\) −6395.62 9863.87i −0.617792 0.952812i
\(476\) 16187.7 1.55875
\(477\) −430.714 + 312.932i −0.0413439 + 0.0300381i
\(478\) −5828.19 + 17937.3i −0.557688 + 1.71639i
\(479\) −305.633 + 940.643i −0.0291540 + 0.0897267i −0.964575 0.263810i \(-0.915021\pi\)
0.935421 + 0.353536i \(0.115021\pi\)
\(480\) 1518.30 8175.63i 0.144376 0.777427i
\(481\) 1831.65 + 5637.24i 0.173630 + 0.534378i
\(482\) −7873.69 −0.744059
\(483\) −3305.25 10172.5i −0.311375 0.958313i
\(484\) −1143.85 831.052i −0.107424 0.0780477i
\(485\) −1172.66 + 6314.48i −0.109789 + 0.591187i
\(486\) −768.050 + 558.021i −0.0716861 + 0.0520830i
\(487\) −9577.72 6958.62i −0.891187 0.647485i 0.0450004 0.998987i \(-0.485671\pi\)
−0.936187 + 0.351502i \(0.885671\pi\)
\(488\) 1525.83 + 1108.58i 0.141540 + 0.102835i
\(489\) −7679.55 + 5579.52i −0.710187 + 0.515981i
\(490\) 4597.25 4359.49i 0.423842 0.401922i
\(491\) −10575.2 7683.33i −0.971999 0.706199i −0.0160929 0.999871i \(-0.505123\pi\)
−0.955906 + 0.293672i \(0.905123\pi\)
\(492\) −353.537 1088.07i −0.0323956 0.0997035i
\(493\) −5173.18 −0.472593
\(494\) 7765.54 + 23899.9i 0.707264 + 2.17673i
\(495\) 3896.86 511.610i 0.353840 0.0464549i
\(496\) 5577.38 17165.4i 0.504903 1.55393i
\(497\) 1529.63 4707.72i 0.138055 0.424889i
\(498\) 378.172 274.758i 0.0340287 0.0247233i
\(499\) 107.268 0.00962323 0.00481162 0.999988i \(-0.498468\pi\)
0.00481162 + 0.999988i \(0.498468\pi\)
\(500\) 785.542 + 10120.5i 0.0702610 + 0.905201i
\(501\) 10576.2 0.943137
\(502\) 879.602 639.068i 0.0782043 0.0568187i
\(503\) −1599.76 + 4923.56i −0.141809 + 0.436443i −0.996587 0.0825511i \(-0.973693\pi\)
0.854778 + 0.518994i \(0.173693\pi\)
\(504\) −176.815 + 544.182i −0.0156269 + 0.0480948i
\(505\) 11913.1 1564.05i 1.04976 0.137820i
\(506\) 7610.38 + 23422.3i 0.668622 + 2.05781i
\(507\) 7442.34 0.651925
\(508\) 2181.65 + 6714.43i 0.190542 + 0.586427i
\(509\) 4039.84 + 2935.11i 0.351793 + 0.255593i 0.749621 0.661868i \(-0.230236\pi\)
−0.397828 + 0.917460i \(0.630236\pi\)
\(510\) 9592.41 9096.32i 0.832861 0.789788i
\(511\) −6224.34 + 4522.24i −0.538842 + 0.391492i
\(512\) −12617.9 9167.42i −1.08913 0.791302i
\(513\) 2054.31 + 1492.54i 0.176803 + 0.128455i
\(514\) 6792.96 4935.38i 0.582928 0.423522i
\(515\) −1904.09 + 10253.0i −0.162921 + 0.877285i
\(516\) 940.923 + 683.621i 0.0802749 + 0.0583231i
\(517\) −2920.92 8989.66i −0.248475 0.764729i
\(518\) −7479.91 −0.634456
\(519\) 3599.05 + 11076.7i 0.304395 + 0.936831i
\(520\) −401.802 + 2163.60i −0.0338849 + 0.182462i
\(521\) 4258.29 13105.7i 0.358079 1.10205i −0.596124 0.802893i \(-0.703293\pi\)
0.954203 0.299161i \(-0.0967068\pi\)
\(522\) −557.175 + 1714.81i −0.0467182 + 0.143784i
\(523\) −17345.4 + 12602.2i −1.45021 + 1.05364i −0.464433 + 0.885608i \(0.653742\pi\)
−0.985781 + 0.168034i \(0.946258\pi\)
\(524\) −8484.91 −0.707376
\(525\) 439.507 8272.75i 0.0365365 0.687719i
\(526\) −27907.0 −2.31332
\(527\) 21240.9 15432.4i 1.75573 1.27561i
\(528\) 2511.20 7728.66i 0.206981 0.637021i
\(529\) 4288.83 13199.7i 0.352497 1.08487i
\(530\) −1111.55 2332.56i −0.0910990 0.191169i
\(531\) −1802.71 5548.18i −0.147328 0.453429i
\(532\) −15090.9 −1.22983
\(533\) 1109.67 + 3415.21i 0.0901785 + 0.277541i
\(534\) 4397.69 + 3195.11i 0.356380 + 0.258925i
\(535\) 12226.5 1605.19i 0.988032 0.129716i
\(536\) 1813.00 1317.22i 0.146100 0.106148i
\(537\) −1211.17 879.969i −0.0973296 0.0707141i
\(538\) −2800.61 2034.76i −0.224429 0.163057i
\(539\) 4583.46 3330.08i 0.366278 0.266116i
\(540\) −943.226 1979.34i −0.0751666 0.157736i
\(541\) 19412.5 + 14104.0i 1.54272 + 1.12085i 0.948603 + 0.316467i \(0.102497\pi\)
0.594113 + 0.804382i \(0.297503\pi\)
\(542\) −930.091 2862.53i −0.0737100 0.226856i
\(543\) −13354.1 −1.05539
\(544\) −7728.70 23786.5i −0.609127 1.87470i
\(545\) −14406.1 7828.55i −1.13227 0.615299i
\(546\) −5472.42 + 16842.4i −0.428934 + 1.32012i
\(547\) −6911.76 + 21272.2i −0.540266 + 1.66277i 0.191721 + 0.981450i \(0.438593\pi\)
−0.731987 + 0.681319i \(0.761407\pi\)
\(548\) −6303.64 + 4579.86i −0.491383 + 0.357011i
\(549\) 5898.32 0.458532
\(550\) −1011.97 + 19048.1i −0.0784555 + 1.47675i
\(551\) 4822.65 0.372871
\(552\) −1127.23 + 818.982i −0.0869170 + 0.0631489i
\(553\) 1102.95 3394.52i 0.0848138 0.261030i
\(554\) −9045.63 + 27839.6i −0.693704 + 2.13500i
\(555\) −2109.24 + 2000.16i −0.161320 + 0.152977i
\(556\) −768.369 2364.80i −0.0586081 0.180377i
\(557\) 5920.24 0.450357 0.225178 0.974318i \(-0.427703\pi\)
0.225178 + 0.974318i \(0.427703\pi\)
\(558\) −2827.81 8703.10i −0.214535 0.660271i
\(559\) −2953.34 2145.73i −0.223458 0.162352i
\(560\) −15050.4 8178.69i −1.13571 0.617165i
\(561\) 9563.65 6948.40i 0.719746 0.522926i
\(562\) −6939.08 5041.54i −0.520832 0.378407i
\(563\) 2602.59 + 1890.89i 0.194824 + 0.141548i 0.680921 0.732357i \(-0.261580\pi\)
−0.486097 + 0.873905i \(0.661580\pi\)
\(564\) −4266.06 + 3099.47i −0.318499 + 0.231403i
\(565\) −15225.5 8273.83i −1.13370 0.616076i
\(566\) −17677.7 12843.6i −1.31281 0.953813i
\(567\) 552.965 + 1701.85i 0.0409566 + 0.126051i
\(568\) −644.819 −0.0476338
\(569\) 1869.17 + 5752.70i 0.137714 + 0.423841i 0.996002 0.0893271i \(-0.0284716\pi\)
−0.858288 + 0.513168i \(0.828472\pi\)
\(570\) −8942.43 + 8479.96i −0.657118 + 0.623134i
\(571\) 1450.75 4464.95i 0.106326 0.327237i −0.883714 0.468028i \(-0.844965\pi\)
0.990039 + 0.140791i \(0.0449646\pi\)
\(572\) 5996.11 18454.1i 0.438304 1.34896i
\(573\) −9636.19 + 7001.10i −0.702544 + 0.510428i
\(574\) −4531.56 −0.329518
\(575\) 12706.8 15668.6i 0.921583 1.13639i
\(576\) −3723.95 −0.269383
\(577\) 15913.7 11562.0i 1.14817 0.834197i 0.159937 0.987127i \(-0.448871\pi\)
0.988237 + 0.152930i \(0.0488709\pi\)
\(578\) 6355.47 19560.1i 0.457358 1.40760i
\(579\) 2888.08 8888.61i 0.207297 0.637993i
\(580\) −3658.89 1988.32i −0.261944 0.142345i
\(581\) −272.269 837.958i −0.0194417 0.0598354i
\(582\) 6732.74 0.479521
\(583\) −714.003 2197.47i −0.0507221 0.156107i
\(584\) 810.824 + 589.098i 0.0574523 + 0.0417415i
\(585\) 2960.57 + 6212.69i 0.209238 + 0.439082i
\(586\) 9184.14 6672.67i 0.647429 0.470384i
\(587\) 8058.17 + 5854.60i 0.566603 + 0.411661i 0.833870 0.551961i \(-0.186120\pi\)
−0.267266 + 0.963623i \(0.586120\pi\)
\(588\) −2556.97 1857.75i −0.179333 0.130293i
\(589\) −19801.6 + 14386.7i −1.38525 + 1.00644i
\(590\) 28071.9 3685.49i 1.95882 0.257168i
\(591\) 3501.74 + 2544.16i 0.243727 + 0.177078i
\(592\) 1857.25 + 5716.04i 0.128940 + 0.396837i
\(593\) −24115.5 −1.66999 −0.834995 0.550257i \(-0.814530\pi\)
−0.834995 + 0.550257i \(0.814530\pi\)
\(594\) −1273.21 3918.54i −0.0879469 0.270673i
\(595\) −10719.1 22493.9i −0.738557 1.54985i
\(596\) 2848.21 8765.89i 0.195750 0.602458i
\(597\) −1868.34 + 5750.17i −0.128084 + 0.394202i
\(598\) −34887.8 + 25347.4i −2.38573 + 1.73333i
\(599\) 13381.7 0.912790 0.456395 0.889777i \(-0.349140\pi\)
0.456395 + 0.889777i \(0.349140\pi\)
\(600\) −1042.61 + 278.566i −0.0709408 + 0.0189540i
\(601\) 23840.2 1.61807 0.809037 0.587758i \(-0.199989\pi\)
0.809037 + 0.587758i \(0.199989\pi\)
\(602\) 3726.92 2707.76i 0.252322 0.183323i
\(603\) 2165.71 6665.38i 0.146260 0.450141i
\(604\) −4183.61 + 12875.8i −0.281835 + 0.867400i
\(605\) −397.373 + 2139.75i −0.0267033 + 0.143790i
\(606\) −3892.35 11979.4i −0.260917 0.803020i
\(607\) −17213.0 −1.15100 −0.575499 0.817803i \(-0.695192\pi\)
−0.575499 + 0.817803i \(0.695192\pi\)
\(608\) 7205.00 + 22174.7i 0.480594 + 1.47912i
\(609\) 2749.48 + 1997.62i 0.182947 + 0.132919i
\(610\) −5226.83 + 28145.1i −0.346932 + 1.86814i
\(611\) 13390.2 9728.52i 0.886593 0.644147i
\(612\) −5335.26 3876.29i −0.352394 0.256029i
\(613\) −6213.79 4514.58i −0.409417 0.297459i 0.363949 0.931419i \(-0.381428\pi\)
−0.773366 + 0.633960i \(0.781428\pi\)
\(614\) 5995.37 4355.89i 0.394061 0.286302i
\(615\) −1277.84 + 1211.76i −0.0837848 + 0.0794517i
\(616\) −2009.01 1459.63i −0.131404 0.0954709i
\(617\) 5822.57 + 17920.0i 0.379915 + 1.16926i 0.940102 + 0.340893i \(0.110729\pi\)
−0.560187 + 0.828366i \(0.689271\pi\)
\(618\) 10932.2 0.711579
\(619\) −8736.42 26887.9i −0.567280 1.74591i −0.661079 0.750317i \(-0.729901\pi\)
0.0937989 0.995591i \(-0.470099\pi\)
\(620\) 20954.8 2751.10i 1.35736 0.178205i
\(621\) −1346.53 + 4144.19i −0.0870119 + 0.267795i
\(622\) 10650.4 32778.5i 0.686562 2.11302i
\(623\) 8289.12 6022.40i 0.533060 0.387291i
\(624\) 14229.5 0.912878
\(625\) 13542.8 7793.08i 0.866742 0.498757i
\(626\) −29142.3 −1.86064
\(627\) −8915.62 + 6477.57i −0.567871 + 0.412583i
\(628\) −4246.32 + 13068.8i −0.269820 + 0.830419i
\(629\) −2701.71 + 8315.01i −0.171263 + 0.527092i
\(630\) −8610.78 + 1130.49i −0.544543 + 0.0714917i
\(631\) −2799.20 8615.05i −0.176600 0.543518i 0.823103 0.567892i \(-0.192241\pi\)
−0.999703 + 0.0243738i \(0.992241\pi\)
\(632\) −464.950 −0.0292638
\(633\) −220.041 677.215i −0.0138165 0.0425227i
\(634\) 17826.5 + 12951.7i 1.11669 + 0.811322i
\(635\) 7885.49 7477.68i 0.492797 0.467311i
\(636\) −1042.81 + 757.649i −0.0650162 + 0.0472370i
\(637\) 8025.74 + 5831.04i 0.499201 + 0.362691i
\(638\) −6330.72 4599.54i −0.392846 0.285419i
\(639\) −1631.45 + 1185.32i −0.101000 + 0.0733809i
\(640\) −748.785 + 4032.01i −0.0462474 + 0.249030i
\(641\) 6259.41 + 4547.73i 0.385697 + 0.280225i 0.763690 0.645583i \(-0.223386\pi\)
−0.377993 + 0.925809i \(0.623386\pi\)
\(642\) −3994.72 12294.5i −0.245575 0.755802i
\(643\) 20694.2 1.26921 0.634604 0.772837i \(-0.281163\pi\)
0.634604 + 0.772837i \(0.281163\pi\)
\(644\) −8002.44 24629.0i −0.489659 1.50701i
\(645\) 326.877 1760.15i 0.0199547 0.107451i
\(646\) −11454.3 + 35252.7i −0.697620 + 2.14705i
\(647\) 2688.19 8273.39i 0.163344 0.502721i −0.835566 0.549389i \(-0.814860\pi\)
0.998910 + 0.0466682i \(0.0148603\pi\)
\(648\) 188.585 137.015i 0.0114326 0.00830626i
\(649\) 25318.1 1.53131
\(650\) −32268.8 + 8621.59i −1.94721 + 0.520256i
\(651\) −17248.5 −1.03844
\(652\) −18593.2 + 13508.7i −1.11682 + 0.811416i
\(653\) 3741.70 11515.8i 0.224233 0.690118i −0.774136 0.633020i \(-0.781815\pi\)
0.998369 0.0570980i \(-0.0181848\pi\)
\(654\) −5311.36 + 16346.7i −0.317570 + 0.977379i
\(655\) 5618.51 + 11790.3i 0.335165 + 0.703337i
\(656\) 1125.18 + 3462.95i 0.0669679 + 0.206106i
\(657\) 3134.35 0.186123
\(658\) 6454.27 + 19864.2i 0.382391 + 1.17688i
\(659\) 1436.42 + 1043.62i 0.0849091 + 0.0616901i 0.629430 0.777057i \(-0.283288\pi\)
−0.544521 + 0.838747i \(0.683288\pi\)
\(660\) 9434.81 1238.67i 0.556438 0.0730535i
\(661\) 9947.42 7227.23i 0.585340 0.425275i −0.255305 0.966861i \(-0.582176\pi\)
0.840645 + 0.541586i \(0.182176\pi\)
\(662\) −13930.4 10121.0i −0.817853 0.594205i
\(663\) 16746.1 + 12166.8i 0.980945 + 0.712698i
\(664\) −92.8555 + 67.4634i −0.00542694 + 0.00394291i
\(665\) 9992.80 + 20969.7i 0.582713 + 1.22281i
\(666\) 2465.28 + 1791.13i 0.143435 + 0.104211i
\(667\) 2557.37 + 7870.78i 0.148459 + 0.456908i
\(668\) 25606.4 1.48315
\(669\) −271.452 835.444i −0.0156875 0.0482812i
\(670\) 29886.2 + 16240.8i 1.72329 + 0.936470i
\(671\) −7910.36 + 24345.6i −0.455106 + 1.40067i
\(672\) −5077.41 + 15626.7i −0.291466 + 0.897041i
\(673\) 23862.6 17337.2i 1.36677 0.993016i 0.368788 0.929514i \(-0.379773\pi\)
0.997982 0.0635025i \(-0.0202271\pi\)
\(674\) 17485.1 0.999260
\(675\) −2125.84 + 2621.34i −0.121220 + 0.149475i
\(676\) 18018.9 1.02520
\(677\) −27342.4 + 19865.4i −1.55222 + 1.12776i −0.610178 + 0.792264i \(0.708902\pi\)
−0.942043 + 0.335491i \(0.891098\pi\)
\(678\) −5613.47 + 17276.5i −0.317970 + 0.978612i
\(679\) 3921.55 12069.3i 0.221643 0.682146i
\(680\) −2355.30 + 2233.49i −0.132826 + 0.125956i
\(681\) 197.523 + 607.913i 0.0111147 + 0.0342075i
\(682\) 39714.9 2.22986
\(683\) −659.833 2030.76i −0.0369661 0.113770i 0.930871 0.365349i \(-0.119050\pi\)
−0.967837 + 0.251579i \(0.919050\pi\)
\(684\) 4973.74 + 3613.64i 0.278035 + 0.202004i
\(685\) 10538.1 + 5726.63i 0.587797 + 0.319421i
\(686\) 13822.2 10042.4i 0.769291 0.558923i
\(687\) 7869.37 + 5717.43i 0.437024 + 0.317516i
\(688\) −2994.62 2175.72i −0.165943 0.120565i
\(689\) 3273.16 2378.09i 0.180983 0.131492i
\(690\) −18581.7 10097.7i −1.02521 0.557119i
\(691\) −17933.3 13029.3i −0.987285 0.717305i −0.0279602 0.999609i \(-0.508901\pi\)
−0.959325 + 0.282304i \(0.908901\pi\)
\(692\) 8713.77 + 26818.2i 0.478682 + 1.47323i
\(693\) −7766.08 −0.425698
\(694\) −844.467 2599.00i −0.0461895 0.142157i
\(695\) −2777.24 + 2633.61i −0.151578 + 0.143739i
\(696\) 136.807 421.050i 0.00745068 0.0229308i
\(697\) −1636.78 + 5037.49i −0.0889489 + 0.273757i
\(698\) 22504.1 16350.2i 1.22033 0.886623i
\(699\) −11934.7 −0.645797
\(700\) 1064.10 20029.4i 0.0574561 1.08149i
\(701\) 12304.2 0.662941 0.331471 0.943466i \(-0.392455\pi\)
0.331471 + 0.943466i \(0.392455\pi\)
\(702\) 5836.69 4240.60i 0.313806 0.227993i
\(703\) 2518.64 7751.59i 0.135124 0.415870i
\(704\) 4994.28 15370.8i 0.267371 0.822882i
\(705\) 7131.79 + 3875.56i 0.380991 + 0.207038i
\(706\) −4275.25 13157.9i −0.227905 0.701420i
\(707\) −23741.8 −1.26294
\(708\) −4364.60 13432.9i −0.231683 0.713048i
\(709\) −9554.64 6941.85i −0.506110 0.367711i 0.305236 0.952277i \(-0.401265\pi\)
−0.811346 + 0.584566i \(0.801265\pi\)
\(710\) −4210.28 8835.20i −0.222548 0.467013i
\(711\) −1176.36 + 854.678i −0.0620493 + 0.0450815i
\(712\) −1079.80 784.519i −0.0568358 0.0412937i
\(713\) −33980.3 24688.1i −1.78481 1.29674i
\(714\) −21132.5 + 15353.7i −1.10765 + 0.804757i
\(715\) −29613.7 + 3887.91i −1.54894 + 0.203356i
\(716\) −2932.41 2130.52i −0.153058 0.111203i
\(717\) −4475.37 13773.8i −0.233104 0.717421i
\(718\) 45540.8 2.36709
\(719\) −9386.90 28889.9i −0.486888 1.49849i −0.829228 0.558911i \(-0.811219\pi\)
0.342340 0.939576i \(-0.388781\pi\)
\(720\) 3001.95 + 6299.53i 0.155383 + 0.326069i
\(721\) 6367.55 19597.3i 0.328904 1.01226i
\(722\) 2397.42 7378.48i 0.123577 0.380331i
\(723\) 4891.38 3553.80i 0.251608 0.182804i
\(724\) −32332.0 −1.65968
\(725\) −340.060 + 6400.88i −0.0174200 + 0.327893i
\(726\) 2281.48 0.116631
\(727\) −24645.5 + 17906.0i −1.25729 + 0.913475i −0.998621 0.0524916i \(-0.983284\pi\)
−0.258668 + 0.965966i \(0.583284\pi\)
\(728\) 1343.68 4135.43i 0.0684069 0.210535i
\(729\) 225.273 693.320i 0.0114451 0.0352243i
\(730\) −2777.52 + 14956.2i −0.140823 + 0.758295i
\(731\) −1663.93 5121.05i −0.0841896 0.259109i
\(732\) 14280.6 0.721073
\(733\) −7869.55 24220.0i −0.396546 1.22044i −0.927751 0.373200i \(-0.878260\pi\)
0.531205 0.847244i \(-0.321740\pi\)
\(734\) −232.310 168.783i −0.0116822 0.00848759i
\(735\) −888.293 + 4783.23i −0.0445785 + 0.240044i
\(736\) −32369.5 + 23517.8i −1.62113 + 1.17782i
\(737\) 24607.2 + 17878.2i 1.22988 + 0.893557i
\(738\) 1493.54 + 1085.12i 0.0744959 + 0.0541245i
\(739\) −19811.5 + 14393.9i −0.986167 + 0.716492i −0.959078 0.283141i \(-0.908624\pi\)
−0.0270884 + 0.999633i \(0.508624\pi\)
\(740\) −5106.75 + 4842.64i −0.253686 + 0.240566i
\(741\) −15611.4 11342.4i −0.773955 0.562311i
\(742\) 1577.71 + 4855.70i 0.0780588 + 0.240240i
\(743\) 11738.9 0.579622 0.289811 0.957084i \(-0.406408\pi\)
0.289811 + 0.957084i \(0.406408\pi\)
\(744\) 694.332 + 2136.94i 0.0342143 + 0.105301i
\(745\) −14066.8 + 1846.79i −0.691768 + 0.0908206i
\(746\) 3108.27 9566.29i 0.152550 0.469499i
\(747\) −110.920 + 341.377i −0.00543287 + 0.0167207i
\(748\) 23154.8 16823.0i 1.13185 0.822338i
\(749\) −24366.2 −1.18868
\(750\) −10624.5 12466.8i −0.517269 0.606965i
\(751\) −12224.7 −0.593989 −0.296995 0.954879i \(-0.595984\pi\)
−0.296995 + 0.954879i \(0.595984\pi\)
\(752\) 13577.3 9864.51i 0.658397 0.478353i
\(753\) −257.992 + 794.018i −0.0124857 + 0.0384271i
\(754\) 4234.18 13031.5i 0.204509 0.629414i
\(755\) 20662.0 2712.67i 0.995985 0.130761i
\(756\) 1338.80 + 4120.41i 0.0644070 + 0.198224i
\(757\) −22653.2 −1.08764 −0.543822 0.839201i \(-0.683023\pi\)
−0.543822 + 0.839201i \(0.683023\pi\)
\(758\) 73.2654 + 225.488i 0.00351071 + 0.0108049i
\(759\) −15299.5 11115.7i −0.731669 0.531589i
\(760\) 2195.70 2082.15i 0.104798 0.0993782i
\(761\) −6237.17 + 4531.57i −0.297106 + 0.215860i −0.726344 0.687331i \(-0.758782\pi\)
0.429238 + 0.903191i \(0.358782\pi\)
\(762\) −9216.54 6696.21i −0.438163 0.318344i
\(763\) 26209.9 + 19042.6i 1.24359 + 0.903523i
\(764\) −23330.5 + 16950.6i −1.10480 + 0.802684i
\(765\) −1853.47 + 9980.47i −0.0875980 + 0.471692i
\(766\) −12014.1 8728.75i −0.566693 0.411727i
\(767\) 13699.5 + 42162.7i 0.644928 + 1.98488i
\(768\) 14229.6 0.668577
\(769\) 8640.68 + 26593.3i 0.405190 + 1.24705i 0.920737 + 0.390184i \(0.127589\pi\)
−0.515547 + 0.856861i \(0.672411\pi\)
\(770\) 6881.96