Properties

Label 75.4.g.b.16.2
Level $75$
Weight $4$
Character 75.16
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 16.2
Character \(\chi\) \(=\) 75.16
Dual form 75.4.g.b.61.2

$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

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

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 −0.133651 0.991028i \(-0.542670\pi\)
−0.983825 + 0.179135i \(0.942670\pi\)
\(3\) 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 0.929553 0.368688i \(-0.120193\pi\)
−0.0633953 + 0.997988i \(0.520193\pi\)
\(12\) −17.6286 + 12.8079i −0.424079 + 0.308111i
\(13\) 55.3321 40.2012i 1.18049 0.857676i 0.188264 0.982119i \(-0.439714\pi\)
0.992227 + 0.124442i \(0.0397141\pi\)
\(14\) −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 −0.437988 0.898981i \(-0.644309\pi\)
0.882747 0.469848i \(-0.155691\pi\)
\(18\) 35.1615 0.460425
\(19\) −29.0621 + 89.4438i −0.350910 + 1.07999i 0.607433 + 0.794371i \(0.292199\pi\)
−0.958343 + 0.285619i \(0.907801\pi\)
\(20\) −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 0.992582 0.121573i \(-0.0387939\pi\)
0.191102 + 0.981570i \(0.438794\pi\)
\(24\) −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 0.887418 0.460966i \(-0.152497\pi\)
−0.988885 + 0.148681i \(0.952497\pi\)
\(30\) −56.3715 + 118.294i −0.343066 + 0.719917i
\(31\) −80.4233 + 247.517i −0.465950 + 1.43405i 0.391834 + 0.920036i \(0.371841\pi\)
−0.857784 + 0.514011i \(0.828159\pi\)
\(32\) −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 −0.421025 0.907049i \(-0.638329\pi\)
0.732551 + 0.680712i \(0.238329\pi\)
\(38\) 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 −0.503940 0.863739i \(-0.668117\pi\)
0.665738 + 0.746185i \(0.268117\pi\)
\(42\) 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 0.997495 + 0.0707380i \(0.0225354\pi\)
−0.765412 + 0.643541i \(0.777465\pi\)
\(48\) 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 0.971946 0.235204i \(-0.0755757\pi\)
−0.924570 + 0.381012i \(0.875576\pi\)
\(54\) 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 0.167716 0.985835i \(-0.446361\pi\)
0.989412 + 0.145132i \(0.0463607\pi\)
\(60\) 214.057 116.323i 0.460577 0.250287i
\(61\) −530.204 385.216i −1.11288 0.808555i −0.129765 0.991545i \(-0.541422\pi\)
−0.983115 + 0.182990i \(0.941422\pi\)
\(62\) 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 −0.450384 0.892835i \(-0.648713\pi\)
0.889164 0.457589i \(-0.151287\pi\)
\(68\) 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 0.992100 0.125451i \(-0.0400378\pi\)
−0.876364 + 0.481650i \(0.840038\pi\)
\(72\) −8.00367 24.6328i −0.0131006 0.0403194i
\(73\) −281.749 204.703i −0.451729 0.328200i 0.338549 0.940949i \(-0.390064\pi\)
−0.790278 + 0.612748i \(0.790064\pi\)
\(74\) −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 0.980293 0.197550i \(-0.0632985\pi\)
−0.909191 + 0.416380i \(0.863299\pi\)
\(80\) −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 −0.958875 0.283829i \(-0.908395\pi\)
0.942576 + 0.333991i \(0.108395\pi\)
\(84\) −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 0.788364 0.615210i \(-0.210929\pi\)
−0.341481 + 0.939889i \(0.610929\pi\)
\(90\) −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 0.999961 0.00878766i \(-0.00279724\pi\)
−0.814151 + 0.580653i \(0.802797\pi\)
\(98\) −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 0.989025 + 0.147748i \(0.0472025\pi\)
−0.713294 + 0.700865i \(0.752797\pi\)
\(104\) 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 0.0717636 0.997422i \(-0.477137\pi\)
0.970781 + 0.239969i \(0.0771373\pi\)
\(110\) 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 0.0728243 0.997345i \(-0.476799\pi\)
0.971035 + 0.238936i \(0.0767988\pi\)
\(114\) 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 0.278143 0.960540i \(-0.410281\pi\)
−0.827577 + 0.561352i \(0.810281\pi\)
\(128\) 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 0.755545 + 0.655096i \(0.227372\pi\)
−0.996305 + 0.0858855i \(0.972628\pi\)
\(132\) −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 −0.824537 0.565808i \(-0.808564\pi\)
0.283320 + 0.959025i \(0.408564\pi\)
\(138\) 1530.29 1111.82i 0.943965 0.685831i
\(139\) 276.953 + 201.218i 0.168999 + 0.122785i 0.669070 0.743200i \(-0.266693\pi\)
−0.500071 + 0.865984i \(0.666693\pi\)
\(140\) −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 −0.996896 0.0787280i \(-0.974914\pi\)
−0.233183 + 0.972433i \(0.574914\pi\)
\(164\) 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 −0.296312 0.955091i \(-0.595757\pi\)
0.801110 0.598517i \(-0.204243\pi\)
\(168\) −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 −0.996852 0.0792825i \(-0.974737\pi\)
−0.383446 0.923563i \(-0.625263\pi\)
\(174\) −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 0.978076 0.208247i \(-0.0667756\pi\)
−0.913685 + 0.406424i \(0.866776\pi\)
\(180\) 530.331 + 502.904i 0.219603 + 0.208246i
\(181\) −1375.55 + 4233.49i −0.564881 + 1.73853i 0.103422 + 0.994638i \(0.467021\pi\)
−0.668304 + 0.743888i \(0.732979\pi\)
\(182\) −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 −0.995834 0.0911844i \(-0.970935\pi\)
−0.221008 + 0.975272i \(0.570935\pi\)
\(192\) −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 0.837494 0.546446i \(-0.184020\pi\)
−0.998740 + 0.0501827i \(0.984020\pi\)
\(198\) 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 0.618670 0.785651i \(-0.287672\pi\)
−0.556019 + 0.831170i \(0.687672\pi\)
\(212\) −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 0.622785 0.782393i \(-0.286001\pi\)
−0.551649 + 0.834076i \(0.686001\pi\)
\(224\) −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 0.562300 0.826933i \(-0.309917\pi\)
−0.612700 + 0.790315i \(0.709917\pi\)
\(228\) −633.267 1949.00i −0.183944 0.566120i
\(229\) −1001.94 3083.67i −0.289128 0.889845i −0.985131 0.171806i \(-0.945040\pi\)
0.696003 0.718039i \(-0.254960\pi\)
\(230\) 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 0.615582 + 0.788073i \(0.288921\pi\)
−0.961234 + 0.275735i \(0.911079\pi\)
\(234\) 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 0.973536 0.228533i \(-0.0733929\pi\)
0.0834914 + 0.996508i \(0.473393\pi\)
\(240\) −1687.85 1600.56i −0.453960 0.430483i
\(241\) 1630.46 1184.60i 0.435798 0.316625i −0.348165 0.937433i \(-0.613195\pi\)
0.783963 + 0.620808i \(0.213195\pi\)
\(242\) 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 0.356165 0.934423i \(-0.384084\pi\)
0.998750 0.0499805i \(-0.0159159\pi\)
\(264\) −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 −0.915218 0.402958i \(-0.867982\pi\)
0.977280 + 0.211952i \(0.0679820\pi\)
\(270\) −215.336 1159.53i −0.0485368 0.261358i
\(271\) −238.067 732.696i −0.0533637 0.164237i 0.920823 0.389981i \(-0.127519\pi\)
−0.974187 + 0.225745i \(0.927519\pi\)
\(272\) −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 0.999981 + 0.00613595i \(0.00195315\pi\)
0.314847 + 0.949142i \(0.398047\pi\)
\(278\) −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 −0.852858 0.522143i \(-0.825133\pi\)
0.996884 + 0.0788752i \(0.0251329\pi\)
\(282\) 2836.32 0.598937
\(283\) 1728.33 5319.25i 0.363033 1.11730i −0.588170 0.808737i \(-0.700151\pi\)
0.951203 0.308564i \(-0.0998485\pi\)
\(284\) −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 −0.301325 0.953522i \(-0.597429\pi\)
−0.999967 + 0.00807744i \(0.997429\pi\)
\(312\) −477.709 + 347.076i −0.0866825 + 0.0629785i
\(313\) 6034.71 4384.47i 1.08978 0.791774i 0.110420 0.993885i \(-0.464780\pi\)
0.979363 + 0.202111i \(0.0647803\pi\)
\(314\) 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 0.669433 + 0.742873i \(0.266537\pi\)
−0.978232 + 0.207514i \(0.933463\pi\)
\(318\) 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 −0.772010 0.635611i \(-0.780748\pi\)
0.998172 0.0604442i \(-0.0192517\pi\)
\(332\) −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 −0.840620 0.541626i \(-0.817809\pi\)
0.255351 + 0.966848i \(0.417809\pi\)
\(338\) −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 0.932944 0.360023i \(-0.117231\pi\)
−0.966383 + 0.257106i \(0.917231\pi\)
\(348\) 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 0.834040 0.551704i \(-0.186022\pi\)
−0.999036 + 0.0438984i \(0.986022\pi\)
\(354\) −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 −0.390161 + 0.920747i \(0.627581\pi\)
−0.996248 + 0.0865388i \(0.972419\pi\)
\(360\) 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 −0.949428 0.313984i \(-0.898336\pi\)
0.952659 + 0.304042i \(0.0983362\pi\)
\(368\) 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 0.433755 0.901031i \(-0.357188\pi\)
−0.722894 + 0.690959i \(0.757188\pi\)
\(374\) −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 0.952319 0.305103i \(-0.0986910\pi\)
−0.949778 + 0.312926i \(0.898691\pi\)
\(380\) 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 −0.841622 0.540068i \(-0.818399\pi\)
0.998330 + 0.0577690i \(0.0183987\pi\)
\(384\) −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 −0.0626169 0.998038i \(-0.519945\pi\)
−0.968540 + 0.248858i \(0.919945\pi\)
\(390\) 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 −0.682063 0.731294i \(-0.738917\pi\)
0.121957 0.992535i \(-0.461083\pi\)
\(398\) 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 −0.567165 0.823604i \(-0.691960\pi\)
0.608030 + 0.793914i \(0.291960\pi\)
\(410\) 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 −0.971013 0.239027i \(-0.923171\pi\)
0.926063 + 0.377370i \(0.123171\pi\)
\(420\) 4728.90 2569.78i 0.549397 0.298553i
\(421\) 3257.63 + 10026.0i 0.377119 + 1.16065i 0.942038 + 0.335507i \(0.108908\pi\)
−0.564919 + 0.825147i \(0.691092\pi\)
\(422\) −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 0.669996 + 0.742365i \(0.266296\pi\)
−0.978389 + 0.206772i \(0.933704\pi\)
\(432\) −1872.46 −0.208539
\(433\) 750.382 2309.44i 0.0832819 0.256315i −0.900741 0.434356i \(-0.856976\pi\)
0.984023 + 0.178041i \(0.0569759\pi\)
\(434\) 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 0.903839 0.427872i \(-0.140737\pi\)
−0.127629 + 0.991822i \(0.540737\pi\)
\(440\) 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 0.00147406 0.999999i \(-0.499531\pi\)
−0.950600 + 0.310419i \(0.899531\pi\)
\(462\) 8182.08 5944.63i 0.823949 0.598634i
\(463\) 3221.48 2340.54i 0.323358 0.234934i −0.414249 0.910164i \(-0.635956\pi\)
0.737607 + 0.675230i \(0.235956\pi\)
\(464\) −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 −0.625780 0.779999i \(-0.715219\pi\)
0.964739 0.263208i \(-0.0847806\pi\)
\(468\) −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 0.935421 0.353536i \(-0.115021\pi\)
−0.964575 + 0.263810i \(0.915021\pi\)
\(480\) 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 −0.936187 0.351502i \(-0.885671\pi\)
0.0450004 + 0.998987i \(0.485671\pi\)
\(488\) 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 −0.955906 0.293672i \(-0.905123\pi\)
−0.0160929 + 0.999871i \(0.505123\pi\)
\(492\) −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 0.854778 0.518994i \(-0.173693\pi\)
−0.996587 + 0.0825511i \(0.973693\pi\)
\(504\) −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 −0.397828 0.917460i \(-0.630236\pi\)
0.749621 + 0.661868i \(0.230236\pi\)
\(510\) 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 0.954203 + 0.299161i \(0.0967068\pi\)
−0.596124 + 0.802893i \(0.703293\pi\)
\(522\) −557.175 1714.81i −0.0467182 0.143784i
\(523\) −17345.4 12602.2i −1.45021 1.05364i −0.985781 0.168034i \(-0.946258\pi\)
−0.464433 0.885608i \(-0.653742\pi\)
\(524\) −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 0.594113 0.804382i \(-0.297503\pi\)
0.948603 0.316467i \(-0.102497\pi\)
\(542\) −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 −0.731987 0.681319i \(-0.761407\pi\)
0.191721 0.981450i \(-0.438593\pi\)
\(548\) −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 −0.486097 0.873905i \(-0.661580\pi\)
0.680921 + 0.732357i \(0.261580\pi\)
\(564\) −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 −0.858288 0.513168i \(-0.828472\pi\)
0.996002 + 0.0893271i \(0.0284716\pi\)
\(570\) −8942.43 8479.96i −0.657118 0.623134i
\(571\) 1450.75 + 4464.95i 0.106326 + 0.327237i 0.990039 0.140791i \(-0.0449646\pi\)
−0.883714 + 0.468028i \(0.844965\pi\)
\(572\) 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 0.988237 0.152930i \(-0.0488709\pi\)
0.159937 + 0.987127i \(0.448871\pi\)
\(578\) 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 −0.267266 0.963623i \(-0.586120\pi\)
0.833870 + 0.551961i \(0.186120\pi\)
\(588\) −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 −0.773366 0.633960i \(-0.781428\pi\)
0.363949 + 0.931419i \(0.381428\pi\)
\(614\) 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 −0.560187 0.828366i \(-0.689271\pi\)
0.940102 0.340893i \(-0.110729\pi\)
\(618\) 10932.2 0.711579
\(619\) −8736.42 + 26887.9i −0.567280 + 1.74591i 0.0937989 + 0.995591i \(0.470099\pi\)
−0.661079 + 0.750317i \(0.729901\pi\)
\(620\) 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 −0.999703 0.0243738i \(-0.992241\pi\)
0.823103 + 0.567892i \(0.192241\pi\)
\(632\) −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 −0.377993 0.925809i \(-0.623386\pi\)
0.763690 + 0.645583i \(0.223386\pi\)
\(642\) −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 0.998910 0.0466682i \(-0.0148603\pi\)
−0.835566 + 0.549389i \(0.814860\pi\)
\(648\) 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 0.998369 + 0.0570980i \(0.0181848\pi\)
−0.774136 + 0.633020i \(0.781815\pi\)
\(654\) −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 −0.544521 0.838747i \(-0.683288\pi\)
0.629430 + 0.777057i \(0.283288\pi\)
\(660\) 9434.81 + 1238.67i 0.556438 + 0.0730535i
\(661\) 9947.42 + 7227.23i 0.585340 + 0.425275i 0.840645 0.541586i \(-0.182176\pi\)
−0.255305 + 0.966861i \(0.582176\pi\)
\(662\) −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 0.997982 + 0.0635025i \(0.0202271\pi\)
0.368788 + 0.929514i \(0.379773\pi\)
\(674\) 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 −0.942043 0.335491i \(-0.891098\pi\)
−0.610178 0.792264i \(-0.708902\pi\)
\(678\) −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 −0.967837 0.251579i \(-0.919050\pi\)
0.930871 + 0.365349i \(0.119050\pi\)
\(684\) 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 −0.959325 0.282304i \(-0.908901\pi\)
−0.0279602 + 0.999609i \(0.508901\pi\)
\(692\) 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 −0.811346 0.584566i \(-0.801265\pi\)
0.305236 + 0.952277i \(0.401265\pi\)
\(710\) −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 0.342340 + 0.939576i \(0.388781\pi\)
−0.829228 + 0.558911i \(0.811219\pi\)
\(720\) 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 −0.258668 0.965966i \(-0.583284\pi\)
−0.998621 + 0.0524916i \(0.983284\pi\)
\(728\) 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 0.531205 + 0.847244i \(0.321740\pi\)
−0.927751 + 0.373200i \(0.878260\pi\)
\(734\) −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 −0.0270884 0.999633i \(-0.508624\pi\)
−0.959078 + 0.283141i \(0.908624\pi\)
\(740\) −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 0.429238 0.903191i \(-0.358782\pi\)
−0.726344 + 0.687331i \(0.758782\pi\)
\(762\) −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 −0.515547 0.856861i \(-0.672411\pi\)
0.920737 0.390184i \(-0.127589\pi\)
\(770\) 6881.96 + 37057.6i 0.322089 +