Properties

Label 108.4.l.a.11.10
Level 108
Weight 4
Character 108.11
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.10
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.33178 + 1.60087i) q^{2} +(-4.92086 - 1.66888i) q^{3} +(2.87442 - 7.46577i) q^{4} +(3.67143 - 10.0872i) q^{5} +(14.1460 - 3.98618i) q^{6} +(-6.04634 - 1.06613i) q^{7} +(5.24922 + 22.0101i) q^{8} +(21.4296 + 16.4247i) q^{9} +O(q^{10})\) \(q+(-2.33178 + 1.60087i) q^{2} +(-4.92086 - 1.66888i) q^{3} +(2.87442 - 7.46577i) q^{4} +(3.67143 - 10.0872i) q^{5} +(14.1460 - 3.98618i) q^{6} +(-6.04634 - 1.06613i) q^{7} +(5.24922 + 22.0101i) q^{8} +(21.4296 + 16.4247i) q^{9} +(7.58728 + 29.3985i) q^{10} +(-31.0921 + 11.3166i) q^{11} +(-26.6041 + 31.9409i) q^{12} +(33.3096 - 27.9501i) q^{13} +(15.8055 - 7.19342i) q^{14} +(-34.9009 + 43.5103i) q^{15} +(-47.4754 - 42.9195i) q^{16} +(-97.6451 + 56.3755i) q^{17} +(-76.2631 - 3.99267i) q^{18} +(-87.7369 - 50.6549i) q^{19} +(-64.7552 - 56.4048i) q^{20} +(27.9739 + 15.3369i) q^{21} +(54.3836 - 76.1624i) q^{22} +(28.7938 + 163.298i) q^{23} +(10.9017 - 117.069i) q^{24} +(7.48410 + 6.27990i) q^{25} +(-32.9263 + 118.498i) q^{26} +(-78.0413 - 116.587i) q^{27} +(-25.3392 + 42.0761i) q^{28} +(-127.814 + 152.323i) q^{29} +(11.7269 - 157.328i) q^{30} +(-66.6999 + 11.7610i) q^{31} +(179.411 + 24.0769i) q^{32} +(171.886 - 3.79823i) q^{33} +(137.437 - 287.773i) q^{34} +(-32.9529 + 57.0762i) q^{35} +(184.221 - 112.777i) q^{36} +(98.0242 + 169.783i) q^{37} +(285.675 - 22.3393i) q^{38} +(-210.557 + 81.9485i) q^{39} +(241.292 + 27.8588i) q^{40} +(-133.306 - 158.868i) q^{41} +(-89.7815 + 9.02027i) q^{42} +(98.0684 + 269.441i) q^{43} +(-4.88460 + 264.655i) q^{44} +(244.356 - 155.862i) q^{45} +(-328.559 - 334.679i) q^{46} +(-10.0291 + 56.8776i) q^{47} +(161.992 + 290.432i) q^{48} +(-286.893 - 104.421i) q^{49} +(-27.5046 - 2.66229i) q^{50} +(574.582 - 114.457i) q^{51} +(-112.923 - 329.022i) q^{52} -127.223i q^{53} +(368.616 + 146.922i) q^{54} +355.179i q^{55} +(-8.27285 - 138.677i) q^{56} +(347.203 + 395.688i) q^{57} +(54.1853 - 559.799i) q^{58} +(190.496 + 69.3349i) q^{59} +(224.518 + 385.629i) q^{60} +(64.6265 - 366.515i) q^{61} +(136.702 - 134.202i) q^{62} +(-112.060 - 122.156i) q^{63} +(-456.891 + 231.072i) q^{64} +(-159.643 - 438.617i) q^{65} +(-394.720 + 284.024i) q^{66} +(-310.659 - 370.229i) q^{67} +(140.213 + 891.043i) q^{68} +(130.835 - 851.617i) q^{69} +(-14.5325 - 185.843i) q^{70} +(-18.1604 - 31.4547i) q^{71} +(-249.020 + 557.886i) q^{72} +(-295.119 + 511.161i) q^{73} +(-500.372 - 238.973i) q^{74} +(-26.3477 - 43.3926i) q^{75} +(-630.370 + 509.420i) q^{76} +(200.059 - 35.2757i) q^{77} +(359.785 - 528.162i) q^{78} +(697.087 - 830.756i) q^{79} +(-607.238 + 321.317i) q^{80} +(189.460 + 703.950i) q^{81} +(565.169 + 157.040i) q^{82} +(-747.142 - 626.926i) q^{83} +(194.911 - 164.762i) q^{84} +(210.171 + 1191.94i) q^{85} +(-660.014 - 471.282i) q^{86} +(883.165 - 536.253i) q^{87} +(-412.289 - 624.938i) q^{88} +(-646.453 - 373.230i) q^{89} +(-320.269 + 754.619i) q^{90} +(-231.200 + 133.483i) q^{91} +(1301.91 + 254.418i) q^{92} +(347.848 + 53.4403i) q^{93} +(-67.6682 - 148.681i) q^{94} +(-833.084 + 699.040i) q^{95} +(-842.674 - 417.895i) q^{96} +(-842.323 + 306.580i) q^{97} +(836.136 - 215.793i) q^{98} +(-852.165 - 268.167i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.33178 + 1.60087i −0.824410 + 0.565994i
\(3\) −4.92086 1.66888i −0.947019 0.321177i
\(4\) 2.87442 7.46577i 0.359302 0.933221i
\(5\) 3.67143 10.0872i 0.328382 0.902223i −0.660139 0.751143i \(-0.729503\pi\)
0.988522 0.151080i \(-0.0482751\pi\)
\(6\) 14.1460 3.98618i 0.962516 0.271225i
\(7\) −6.04634 1.06613i −0.326472 0.0575658i 0.00801032 0.999968i \(-0.497450\pi\)
−0.334482 + 0.942402i \(0.608561\pi\)
\(8\) 5.24922 + 22.0101i 0.231985 + 0.972719i
\(9\) 21.4296 + 16.4247i 0.793691 + 0.608322i
\(10\) 7.58728 + 29.3985i 0.239931 + 0.929664i
\(11\) −31.0921 + 11.3166i −0.852239 + 0.310190i −0.730953 0.682428i \(-0.760924\pi\)
−0.121286 + 0.992618i \(0.538702\pi\)
\(12\) −26.6041 + 31.9409i −0.639995 + 0.768379i
\(13\) 33.3096 27.9501i 0.710649 0.596305i −0.214132 0.976805i \(-0.568692\pi\)
0.924781 + 0.380500i \(0.124248\pi\)
\(14\) 15.8055 7.19342i 0.301728 0.137323i
\(15\) −34.9009 + 43.5103i −0.600758 + 0.748954i
\(16\) −47.4754 42.9195i −0.741804 0.670617i
\(17\) −97.6451 + 56.3755i −1.39308 + 0.804297i −0.993655 0.112467i \(-0.964125\pi\)
−0.399428 + 0.916764i \(0.630791\pi\)
\(18\) −76.2631 3.99267i −0.998632 0.0522823i
\(19\) −87.7369 50.6549i −1.05938 0.611633i −0.134119 0.990965i \(-0.542821\pi\)
−0.925261 + 0.379332i \(0.876154\pi\)
\(20\) −64.7552 56.4048i −0.723985 0.630624i
\(21\) 27.9739 + 15.3369i 0.290686 + 0.159371i
\(22\) 54.3836 76.1624i 0.527029 0.738085i
\(23\) 28.7938 + 163.298i 0.261040 + 1.48043i 0.780080 + 0.625680i \(0.215179\pi\)
−0.519040 + 0.854750i \(0.673710\pi\)
\(24\) 10.9017 117.069i 0.0927209 0.995692i
\(25\) 7.48410 + 6.27990i 0.0598728 + 0.0502392i
\(26\) −32.9263 + 118.498i −0.248361 + 0.893822i
\(27\) −78.0413 116.587i −0.556261 0.831007i
\(28\) −25.3392 + 42.0761i −0.171024 + 0.283987i
\(29\) −127.814 + 152.323i −0.818432 + 0.975369i −0.999968 0.00801543i \(-0.997449\pi\)
0.181536 + 0.983384i \(0.441893\pi\)
\(30\) 11.7269 157.328i 0.0713674 0.957470i
\(31\) −66.6999 + 11.7610i −0.386440 + 0.0681398i −0.363493 0.931597i \(-0.618416\pi\)
−0.0229470 + 0.999737i \(0.507305\pi\)
\(32\) 179.411 + 24.0769i 0.991115 + 0.133007i
\(33\) 171.886 3.79823i 0.906712 0.0200360i
\(34\) 137.437 287.773i 0.693245 1.45155i
\(35\) −32.9529 + 57.0762i −0.159145 + 0.275647i
\(36\) 184.221 112.777i 0.852874 0.522118i
\(37\) 98.0242 + 169.783i 0.435543 + 0.754382i 0.997340 0.0728930i \(-0.0232232\pi\)
−0.561797 + 0.827275i \(0.689890\pi\)
\(38\) 285.675 22.3393i 1.21954 0.0953660i
\(39\) −210.557 + 81.9485i −0.864517 + 0.336468i
\(40\) 241.292 + 27.8588i 0.953790 + 0.110122i
\(41\) −133.306 158.868i −0.507779 0.605147i 0.449867 0.893095i \(-0.351471\pi\)
−0.957646 + 0.287948i \(0.907027\pi\)
\(42\) −89.7815 + 9.02027i −0.329847 + 0.0331395i
\(43\) 98.0684 + 269.441i 0.347798 + 0.955566i 0.983062 + 0.183272i \(0.0586688\pi\)
−0.635265 + 0.772294i \(0.719109\pi\)
\(44\) −4.88460 + 264.655i −0.0167359 + 0.906779i
\(45\) 244.356 155.862i 0.809476 0.516324i
\(46\) −328.559 334.679i −1.05312 1.07273i
\(47\) −10.0291 + 56.8776i −0.0311253 + 0.176520i −0.996407 0.0846893i \(-0.973010\pi\)
0.965282 + 0.261210i \(0.0841214\pi\)
\(48\) 161.992 + 290.432i 0.487115 + 0.873338i
\(49\) −286.893 104.421i −0.836423 0.304433i
\(50\) −27.5046 2.66229i −0.0777948 0.00753009i
\(51\) 574.582 114.457i 1.57760 0.314259i
\(52\) −112.923 329.022i −0.301147 0.877446i
\(53\) 127.223i 0.329726i −0.986317 0.164863i \(-0.947282\pi\)
0.986317 0.164863i \(-0.0527181\pi\)
\(54\) 368.616 + 146.922i 0.928932 + 0.370250i
\(55\) 355.179i 0.870771i
\(56\) −8.27285 138.677i −0.0197412 0.330920i
\(57\) 347.203 + 395.688i 0.806811 + 0.919477i
\(58\) 54.1853 559.799i 0.122670 1.26733i
\(59\) 190.496 + 69.3349i 0.420347 + 0.152994i 0.543529 0.839390i \(-0.317088\pi\)
−0.123182 + 0.992384i \(0.539310\pi\)
\(60\) 224.518 + 385.629i 0.483086 + 0.829741i
\(61\) 64.6265 366.515i 0.135649 0.769302i −0.838757 0.544506i \(-0.816717\pi\)
0.974406 0.224796i \(-0.0721716\pi\)
\(62\) 136.702 134.202i 0.280018 0.274898i
\(63\) −112.060 122.156i −0.224099 0.244289i
\(64\) −456.891 + 231.072i −0.892366 + 0.451313i
\(65\) −159.643 438.617i −0.304636 0.836980i
\(66\) −394.720 + 284.024i −0.736162 + 0.529711i
\(67\) −310.659 370.229i −0.566463 0.675085i 0.404438 0.914566i \(-0.367467\pi\)
−0.970901 + 0.239481i \(0.923023\pi\)
\(68\) 140.213 + 891.043i 0.250049 + 1.58904i
\(69\) 130.835 851.617i 0.228270 1.48584i
\(70\) −14.5325 185.843i −0.0248139 0.317321i
\(71\) −18.1604 31.4547i −0.0303555 0.0525772i 0.850449 0.526058i \(-0.176331\pi\)
−0.880804 + 0.473481i \(0.842997\pi\)
\(72\) −249.020 + 557.886i −0.407602 + 0.913160i
\(73\) −295.119 + 511.161i −0.473165 + 0.819545i −0.999528 0.0307142i \(-0.990222\pi\)
0.526363 + 0.850260i \(0.323555\pi\)
\(74\) −500.372 238.973i −0.786041 0.375405i
\(75\) −26.3477 43.3926i −0.0405650 0.0668073i
\(76\) −630.370 + 509.420i −0.951427 + 0.768875i
\(77\) 200.059 35.2757i 0.296088 0.0522083i
\(78\) 359.785 528.162i 0.522278 0.766699i
\(79\) 697.087 830.756i 0.992765 1.18313i 0.00968573 0.999953i \(-0.496917\pi\)
0.983080 0.183179i \(-0.0586387\pi\)
\(80\) −607.238 + 321.317i −0.848642 + 0.449054i
\(81\) 189.460 + 703.950i 0.259890 + 0.965638i
\(82\) 565.169 + 157.040i 0.761127 + 0.211490i
\(83\) −747.142 626.926i −0.988066 0.829086i −0.00277909 0.999996i \(-0.500885\pi\)
−0.985287 + 0.170911i \(0.945329\pi\)
\(84\) 194.911 164.762i 0.253173 0.214012i
\(85\) 210.171 + 1191.94i 0.268192 + 1.52099i
\(86\) −660.014 471.282i −0.827572 0.590927i
\(87\) 883.165 536.253i 1.08834 0.660832i
\(88\) −412.289 624.938i −0.499434 0.757030i
\(89\) −646.453 373.230i −0.769931 0.444520i 0.0629191 0.998019i \(-0.479959\pi\)
−0.832850 + 0.553499i \(0.813292\pi\)
\(90\) −320.269 + 754.619i −0.375104 + 0.883821i
\(91\) −231.200 + 133.483i −0.266333 + 0.153768i
\(92\) 1301.91 + 254.418i 1.47536 + 0.288314i
\(93\) 347.848 + 53.4403i 0.387851 + 0.0595860i
\(94\) −67.6682 148.681i −0.0742494 0.163142i
\(95\) −833.084 + 699.040i −0.899712 + 0.754948i
\(96\) −842.674 417.895i −0.895886 0.444284i
\(97\) −842.323 + 306.580i −0.881700 + 0.320913i −0.742896 0.669407i \(-0.766548\pi\)
−0.138804 + 0.990320i \(0.544326\pi\)
\(98\) 836.136 215.793i 0.861862 0.222432i
\(99\) −852.165 268.167i −0.865109 0.272241i
\(100\) 68.3967 37.8235i 0.0683967 0.0378235i
\(101\) −1891.54 333.530i −1.86352 0.328589i −0.875538 0.483149i \(-0.839493\pi\)
−0.987983 + 0.154560i \(0.950604\pi\)
\(102\) −1156.57 + 1186.72i −1.12272 + 1.15199i
\(103\) −211.878 + 582.130i −0.202689 + 0.556884i −0.998837 0.0482187i \(-0.984646\pi\)
0.796148 + 0.605102i \(0.206868\pi\)
\(104\) 790.035 + 586.433i 0.744897 + 0.552928i
\(105\) 257.410 225.869i 0.239244 0.209929i
\(106\) 203.668 + 296.657i 0.186623 + 0.271829i
\(107\) 2052.44 1.85436 0.927182 0.374612i \(-0.122224\pi\)
0.927182 + 0.374612i \(0.122224\pi\)
\(108\) −1094.74 + 247.518i −0.975380 + 0.220532i
\(109\) 294.553 0.258836 0.129418 0.991590i \(-0.458689\pi\)
0.129418 + 0.991590i \(0.458689\pi\)
\(110\) −568.597 828.201i −0.492851 0.717872i
\(111\) −199.015 999.068i −0.170177 0.854301i
\(112\) 241.295 + 310.121i 0.203573 + 0.261640i
\(113\) −274.127 + 753.158i −0.228210 + 0.627001i −0.999960 0.00892451i \(-0.997159\pi\)
0.771750 + 0.635925i \(0.219381\pi\)
\(114\) −1443.05 366.831i −1.18556 0.301376i
\(115\) 1752.92 + 309.088i 1.42140 + 0.250631i
\(116\) 769.818 + 1392.07i 0.616170 + 1.11423i
\(117\) 1172.89 51.8607i 0.926781 0.0409788i
\(118\) −555.192 + 143.286i −0.433132 + 0.111784i
\(119\) 650.499 236.762i 0.501102 0.182386i
\(120\) −1140.87 539.778i −0.867889 0.410623i
\(121\) −180.950 + 151.835i −0.135951 + 0.114076i
\(122\) 436.048 + 958.092i 0.323590 + 0.710996i
\(123\) 390.848 + 1004.24i 0.286517 + 0.736173i
\(124\) −103.919 + 531.772i −0.0752594 + 0.385117i
\(125\) 1252.87 723.345i 0.896482 0.517584i
\(126\) 456.856 + 105.448i 0.323015 + 0.0745557i
\(127\) −502.438 290.083i −0.351056 0.202682i 0.314094 0.949392i \(-0.398299\pi\)
−0.665150 + 0.746709i \(0.731633\pi\)
\(128\) 695.455 1270.23i 0.480235 0.877140i
\(129\) −32.9150 1489.54i −0.0224652 1.01664i
\(130\) 1074.42 + 767.190i 0.724870 + 0.517592i
\(131\) −273.117 1548.92i −0.182155 1.03305i −0.929556 0.368680i \(-0.879810\pi\)
0.747401 0.664373i \(1.76870\pi\)
\(132\) 465.716 1294.18i 0.307086 0.853362i
\(133\) 476.482 + 399.816i 0.310648 + 0.260665i
\(134\) 1317.08 + 365.968i 0.849092 + 0.235932i
\(135\) −1462.56 + 359.174i −0.932421 + 0.228984i
\(136\) −1753.39 1853.25i −1.10553 1.16849i
\(137\) 759.057 904.609i 0.473362 0.564131i −0.475543 0.879692i \(-0.657748\pi\)
0.948905 + 0.315561i \(0.102193\pi\)
\(138\) 1058.25 + 2195.24i 0.652785 + 1.35414i
\(139\) 1664.04 293.414i 1.01541 0.179044i 0.358910 0.933372i \(-0.383148\pi\)
0.656497 + 0.754328i \(0.272037\pi\)
\(140\) 331.397 + 410.080i 0.200058 + 0.247558i
\(141\) 144.274 263.149i 0.0861705 0.157171i
\(142\) 92.7009 + 44.2730i 0.0547837 + 0.0261642i
\(143\) −719.367 + 1245.98i −0.420675 + 0.728630i
\(144\) −312.443 1699.52i −0.180812 0.983518i
\(145\) 1067.25 + 1848.53i 0.611242 + 1.05870i
\(146\) −130.150 1664.36i −0.0737759 0.943449i
\(147\) 1237.49 + 992.630i 0.694331 + 0.556944i
\(148\) 1549.32 243.799i 0.860497 0.135406i
\(149\) −863.471 1029.04i −0.474754 0.565789i 0.474518 0.880246i \(-0.342622\pi\)
−0.949272 + 0.314456i \(0.898178\pi\)
\(150\) 130.903 + 59.0028i 0.0712547 + 0.0321170i
\(151\) −538.096 1478.41i −0.289998 0.796762i −0.996066 0.0886181i \(-0.971755\pi\)
0.706068 0.708144i \(1.74953\pi\)
\(152\) 654.371 2197.00i 0.349187 1.17237i
\(153\) −3018.45 395.684i −1.59495 0.209080i
\(154\) −410.021 + 402.523i −0.214548 + 0.210625i
\(155\) −126.249 + 715.992i −0.0654228 + 0.371031i
\(156\) 6.57834 + 1807.53i 0.00337621 + 0.927680i
\(157\) 416.305 + 151.523i 0.211623 + 0.0770243i 0.445656 0.895204i \(-0.352970\pi\)
−0.234034 + 0.972228i \(0.575193\pi\)
\(158\) −295.522 + 3053.09i −0.148800 + 1.53728i
\(159\) −212.321 + 626.047i −0.105900 + 0.312256i
\(160\) 901.561 1721.35i 0.445467 0.850530i
\(161\) 1018.05i 0.498345i
\(162\) −1568.71 1338.16i −0.760801 0.648986i
\(163\) 1494.16i 0.717983i 0.933341 + 0.358992i \(0.116879\pi\)
−0.933341 + 0.358992i \(0.883121\pi\)
\(164\) −1569.25 + 538.580i −0.747182 + 0.256439i
\(165\) 592.753 1747.79i 0.279671 0.824636i
\(166\) 2745.80 + 265.778i 1.28383 + 0.124267i
\(167\) −3382.51 1231.13i −1.56734 0.570466i −0.594939 0.803771i \(-0.702824\pi\)
−0.972404 + 0.233305i \(0.925046\pi\)
\(168\) −190.726 + 696.216i −0.0875885 + 0.319728i
\(169\) −53.1813 + 301.606i −0.0242063 + 0.137281i
\(170\) −2398.22 2442.89i −1.08197 1.10212i
\(171\) −1048.18 2526.57i −0.468750 1.12989i
\(172\) 2293.47 + 42.3294i 1.01672 + 0.0187650i
\(173\) 660.283 + 1814.11i 0.290175 + 0.797251i 0.996040 + 0.0889040i \(0.0283364\pi\)
−0.705865 + 0.708347i \(0.749441\pi\)
\(174\) −1200.88 + 2664.26i −0.523209 + 1.16079i
\(175\) −38.5562 45.9495i −0.0166547 0.0198483i
\(176\) 1961.82 + 797.198i 0.840212 + 0.341426i
\(177\) −821.692 659.103i −0.348939 0.279894i
\(178\) 2104.88 164.598i 0.886334 0.0693096i
\(179\) 1901.75 + 3293.93i 0.794097 + 1.37542i 0.923411 + 0.383813i \(0.125389\pi\)
−0.129313 + 0.991604i \(0.541277\pi\)
\(180\) −461.251 2272.32i −0.190998 0.940936i
\(181\) −820.925 + 1421.88i −0.337121 + 0.583911i −0.983890 0.178775i \(-0.942786\pi\)
0.646769 + 0.762686i \(0.276120\pi\)
\(182\) 325.418 681.376i 0.132536 0.277511i
\(183\) −929.689 + 1695.71i −0.375544 + 0.684976i
\(184\) −3443.06 + 1490.94i −1.37949 + 0.597356i
\(185\) 2072.52 365.441i 0.823645 0.145231i
\(186\) −896.657 + 432.249i −0.353474 + 0.170398i
\(187\) 2398.02 2857.84i 0.937756 1.11757i
\(188\) 395.807 + 238.365i 0.153549 + 0.0924709i
\(189\) 347.567 + 788.128i 0.133766 + 0.303322i
\(190\) 823.496 2963.67i 0.314435 1.13162i
\(191\) −1295.85 1087.34i −0.490912 0.411924i 0.363441 0.931617i \(-0.381602\pi\)
−0.854353 + 0.519693i \(0.826046\pi\)
\(192\) 2633.93 374.573i 0.990039 0.140794i
\(193\) 54.7577 + 310.546i 0.0204225 + 0.115822i 0.993315 0.115437i \(-0.0368268\pi\)
−0.972892 + 0.231259i \(0.925716\pi\)
\(194\) 1473.32 2063.33i 0.545247 0.763600i
\(195\) 53.5816 + 2424.80i 0.0196772 + 0.890478i
\(196\) −1604.23 + 1841.73i −0.584632 + 0.671184i
\(197\) −1159.02 669.163i −0.419173 0.242010i 0.275551 0.961287i \(-0.411140\pi\)
−0.694723 + 0.719277i \(0.744473\pi\)
\(198\) 2416.37 738.899i 0.867291 0.265208i
\(199\) −4652.47 + 2686.11i −1.65731 + 0.956850i −0.683365 + 0.730077i \(0.739484\pi\)
−0.973948 + 0.226773i \(0.927183\pi\)
\(200\) −98.9358 + 197.691i −0.0349791 + 0.0698942i
\(201\) 910.839 + 2340.30i 0.319630 + 0.821253i
\(202\) 4944.61 2250.40i 1.72228 0.783849i
\(203\) 935.205 784.730i 0.323343 0.271317i
\(204\) 797.079 4618.69i 0.273562 1.58516i
\(205\) −2091.95 + 761.408i −0.712723 + 0.259410i
\(206\) −437.862 1696.59i −0.148094 0.573821i
\(207\) −2065.07 + 3972.34i −0.693393 + 1.33380i
\(208\) −2780.99 102.690i −0.927054 0.0342320i
\(209\) 3301.17 + 582.085i 1.09257 + 0.192649i
\(210\) −238.637 + 938.758i −0.0784169 + 0.308478i
\(211\) −1280.22 + 3517.39i −0.417698 + 1.14762i 0.535306 + 0.844658i \(0.320196\pi\)
−0.953004 + 0.302958i \(0.902026\pi\)
\(212\) −949.820 365.693i −0.307707 0.118471i
\(213\) 36.8703 + 185.091i 0.0118606 + 0.0595411i
\(214\) −4785.84 + 3285.69i −1.52875 + 1.04956i
\(215\) 3077.94 0.976344
\(216\) 2156.44 2329.69i 0.679293 0.733867i
\(217\) 415.829 0.130084
\(218\) −686.834 + 471.542i −0.213387 + 0.146499i
\(219\) 2305.30 2022.83i 0.711315 0.624156i
\(220\) 2651.69 + 1020.93i 0.812622 + 0.312870i
\(221\) −1676.83 + 4607.04i −0.510387 + 1.40228i
\(222\) 2063.44 + 2011.01i 0.623824 + 0.607974i
\(223\) 705.067 + 124.322i 0.211725 + 0.0373329i 0.278505 0.960435i \(-0.410161\pi\)
−0.0667792 + 0.997768i \(0.521272\pi\)
\(224\) −1059.11 336.853i −0.315914 0.100477i
\(225\) 57.2362 + 257.500i 0.0169589 + 0.0762963i
\(226\) −566.504 2195.04i −0.166740 0.646071i
\(227\) −5206.35 + 1894.96i −1.52228 + 0.554064i −0.961716 0.274048i \(-0.911637\pi\)
−0.560563 + 0.828112i \(0.689415\pi\)
\(228\) 3952.13 1454.77i 1.14796 0.422563i
\(229\) 4236.13 3554.53i 1.22241 1.02572i 0.223712 0.974655i \(-0.428183\pi\)
0.998695 0.0510659i \(-0.0162619\pi\)
\(230\) −4582.25 + 2085.48i −1.31367 + 0.597880i
\(231\) −1043.33 160.288i −0.297169 0.0456544i
\(232\) −4023.58 2013.63i −1.13862 0.569833i
\(233\) 4224.82 2439.20i 1.18788 0.685825i 0.230059 0.973177i \(-0.426108\pi\)
0.957825 + 0.287352i \(0.0927749\pi\)
\(234\) −2651.89 + 1998.57i −0.740853 + 0.558335i
\(235\) 536.913 + 309.987i 0.149040 + 0.0860481i
\(236\) 1065.20 1222.90i 0.293809 0.337306i
\(237\) −4816.70 + 2924.67i −1.32016 + 0.801595i
\(238\) −1137.80 + 1593.44i −0.309884 + 0.433982i
\(239\) −704.922 3997.81i −0.190785 1.08199i −0.918295 0.395898i \(-0.870434\pi\)
0.727510 0.686097i \(1.75932\pi\)
\(240\) 3524.37 567.742i 0.947906 0.152698i
\(241\) −3225.14 2706.21i −0.862031 0.723330i 0.100374 0.994950i \(-0.467996\pi\)
−0.962405 + 0.271620i \(0.912441\pi\)
\(242\) 178.868 643.726i 0.0475127 0.170993i
\(243\) 242.508 3780.22i 0.0640203 0.997949i
\(244\) −2550.55 1536.00i −0.669190 0.403002i
\(245\) −2106.61 + 2510.56i −0.549333 + 0.654670i
\(246\) −2519.03 1715.97i −0.652876 0.444741i
\(247\) −4338.29 + 764.958i −1.11757 + 0.197057i
\(248\) −608.983 1406.34i −0.155929 0.360091i
\(249\) 2630.31 + 4331.91i 0.669434 + 1.10250i
\(250\) −1763.44 + 3692.37i −0.446119 + 0.934104i
\(251\) 2460.69 4262.05i 0.618795 1.07178i −0.370911 0.928668i \(-0.620954\pi\)
0.989706 0.143116i \(-0.0457122\pi\)
\(252\) −1234.10 + 485.487i −0.308495 + 0.121360i
\(253\) −2743.23 4751.42i −0.681682 1.18071i
\(254\) 1635.96 127.929i 0.404131 0.0316023i
\(255\) 954.989 6216.12i 0.234524 1.52654i
\(256\) 411.833 + 4075.24i 0.100545 + 0.994932i
\(257\) −465.101 554.286i −0.112888 0.134535i 0.706641 0.707572i \(-0.250209\pi\)
−0.819529 + 0.573037i \(0.805765\pi\)
\(258\) 2461.32 + 3420.60i 0.593935 + 0.825416i
\(259\) −411.676 1131.07i −0.0987657 0.271357i
\(260\) −3733.49 68.9071i −0.890544 0.0164363i
\(261\) −5240.87 + 1164.92i −1.24292 + 0.276272i
\(262\) 3116.48 + 3174.53i 0.734872 + 0.748560i
\(263\) −516.571 + 2929.62i −0.121115 + 0.686875i 0.862425 + 0.506184i \(0.168944\pi\)
−0.983540 + 0.180691i \(0.942167\pi\)
\(264\) 985.867 + 3763.29i 0.229833 + 0.877329i
\(265\) −1283.32 467.091i −0.297486 0.108276i
\(266\) −1751.11 169.497i −0.403636 0.0390697i
\(267\) 2558.22 + 2915.46i 0.586370 + 0.668253i
\(268\) −3657.01 + 1255.12i −0.833535 + 0.286076i
\(269\) 4379.11i 0.992562i 0.868162 + 0.496281i \(0.165301\pi\)
−0.868162 + 0.496281i \(0.834699\pi\)
\(270\) 2835.37 3178.88i 0.639093 0.716520i
\(271\) 4153.54i 0.931031i 0.885040 + 0.465515i \(0.154131\pi\)
−0.885040 + 0.465515i \(0.845869\pi\)
\(272\) 7055.35 + 1514.43i 1.57277 + 0.337595i
\(273\) 1360.47 271.006i 0.301609 0.0600808i
\(274\) −321.793 + 3324.50i −0.0709497 + 0.732995i
\(275\) −303.764 110.561i −0.0666096 0.0242439i
\(276\) −5981.90 3424.69i −1.30460 0.746891i
\(277\) 1199.20 6801.01i 0.260119 1.47521i −0.522462 0.852662i \(-0.674986\pi\)
0.782582 0.622548i \(-0.213902\pi\)
\(278\) −3410.45 + 3348.08i −0.735774 + 0.722319i
\(279\) −1622.52 843.490i −0.348165 0.180998i
\(280\) −1429.23 425.693i −0.305046 0.0908572i
\(281\) 343.835 + 944.680i 0.0729946 + 0.200551i 0.970824 0.239792i \(-0.0770791\pi\)
−0.897830 + 0.440343i \(0.854857\pi\)
\(282\) 84.8532 + 844.570i 0.0179182 + 0.178346i
\(283\) −5500.05 6554.70i −1.15528 1.37681i −0.913682 0.406431i \(-0.866773\pi\)
−0.241597 0.970377i \(1.42233\pi\)
\(284\) −287.034 + 45.1672i −0.0599730 + 0.00943725i
\(285\) 5266.10 2049.56i 1.09452 0.425983i
\(286\) −317.247 4056.97i −0.0655917 0.838789i
\(287\) 636.640 + 1102.69i 0.130940 + 0.226794i
\(288\) 3449.26 + 3462.73i 0.705728 + 0.708483i
\(289\) 3899.88 6754.80i 0.793789 1.37488i
\(290\) −5447.84 2601.84i −1.10313 0.526845i
\(291\) 4656.60 102.898i 0.938056 0.0207286i
\(292\) 2967.91 + 3672.58i 0.594808 + 0.736032i
\(293\) −4681.05 + 825.395i −0.933344 + 0.164574i −0.619586 0.784929i \(-0.712699\pi\)
−0.313759 + 0.949503i \(0.601588\pi\)
\(294\) −4474.64 333.528i −0.887640 0.0661624i
\(295\) 1398.79 1667.01i 0.276069 0.329007i
\(296\) −3222.39 + 3048.75i −0.632763 + 0.598666i
\(297\) 3745.84 + 2741.78i 0.731838 + 0.535670i
\(298\) 3660.80 + 1017.20i 0.711625 + 0.197735i
\(299\) 5523.30 + 4634.60i 1.06830 + 0.896407i
\(300\) −399.694 + 71.9776i −0.0769211 + 0.0138521i
\(301\) −305.695 1733.68i −0.0585382 0.331986i
\(302\) 3621.46 + 2585.90i 0.690039 + 0.492721i
\(303\) 8751.39 + 4798.02i 1.65926 + 0.909700i
\(304\) 1991.26 + 6170.49i 0.375680 + 1.16415i
\(305\) −3459.82 1997.53i −0.649537 0.375011i
\(306\) 7671.81 3909.50i 1.43323 0.730364i
\(307\) 5956.82 3439.17i 1.10741 0.639362i 0.169250 0.985573i \(-0.445865\pi\)
0.938156 + 0.346212i \(0.112532\pi\)
\(308\) 311.692 1594.99i 0.0576632 0.295074i
\(309\) 2014.13 2510.98i 0.370809 0.462280i
\(310\) −851.827 1871.65i −0.156066 0.342911i
\(311\) 2593.96 2176.59i 0.472958 0.396859i −0.374914 0.927060i \(-0.622328\pi\)
0.847872 + 0.530201i \(0.177883\pi\)
\(312\) −2908.96 4204.23i −0.527844 0.762877i
\(313\) 5929.30 2158.09i 1.07075 0.389720i 0.254291 0.967128i \(-0.418158\pi\)
0.816456 + 0.577408i \(0.195936\pi\)
\(314\) −1213.30 + 313.133i −0.218059 + 0.0562774i
\(315\) −1643.63 + 681.881i −0.293993 + 0.121967i
\(316\) −4198.52 7592.24i −0.747421 1.35157i
\(317\) 5753.38 + 1014.48i 1.01938 + 0.179744i 0.658271 0.752781i \(-0.271288\pi\)
0.361106 + 0.932525i \(0.382399\pi\)
\(318\) −507.135 1799.70i −0.0894300 0.317366i
\(319\) 2250.24 6182.47i 0.394950 1.08512i
\(320\) 653.418 + 5457.10i 0.114147 + 0.953316i
\(321\) −10099.8 3425.29i −1.75612 0.595579i
\(322\) 1629.77 + 2373.87i 0.282060 + 0.410841i
\(323\) 11422.8 1.96774
\(324\) 5800.12 + 608.986i 0.994533 + 0.104422i
\(325\) 424.817 0.0725064
\(326\) −2391.95 3484.04i −0.406374 0.591912i
\(327\) −1449.45 491.575i −0.245122 0.0831321i
\(328\) 2796.95 3768.02i 0.470841 0.634311i
\(329\) 121.278 333.209i 0.0203230 0.0558371i
\(330\) 1415.81 + 5024.38i 0.236175 + 0.838130i
\(331\) 1209.66 + 213.296i 0.200873 + 0.0354193i 0.273179 0.961963i \(-0.411925\pi\)
−0.0723062 + 0.997382i \(0.523036\pi\)
\(332\) −6828.09 + 3775.94i −1.12873 + 0.624191i
\(333\) −688.006 + 5248.40i −0.113221 + 0.863696i
\(334\) 9858.15 2544.23i 1.61501 0.416808i
\(335\) −4875.12 + 1774.40i −0.795094 + 0.289390i
\(336\) −669.820 1928.75i −0.108755 0.313161i
\(337\) −3086.61 + 2589.97i −0.498926 + 0.418649i −0.857212 0.514963i \(-0.827806\pi\)
0.358286 + 0.933612i \(0.383361\pi\)
\(338\) −358.825 788.416i −0.0577442 0.126876i
\(339\) 2605.87 3248.69i 0.417497 0.520486i
\(340\) 9502.88 + 1857.05i 1.51578 + 0.296213i
\(341\) 1940.75 1120.49i 0.308203 0.177941i
\(342\) 6488.84 + 4213.40i 1.02595 + 0.666184i
\(343\) 3447.08 + 1990.17i 0.542638 + 0.313292i
\(344\) −5415.64 + 3572.85i −0.848814 + 0.559986i
\(345\) −8110.05 4446.40i −1.26560 0.693873i
\(346\) −4443.80 3173.09i −0.690462 0.493024i
\(347\) −1023.41 5804.05i −0.158327 0.897919i −0.955680 0.294406i \(-0.904878\pi\)
0.797353 0.603513i \(1.79377\pi\)
\(348\) −1464.95 8134.93i −0.225660 1.25310i
\(349\) 4651.40 + 3902.99i 0.713421 + 0.598631i 0.925557 0.378609i \(-0.123597\pi\)
−0.212136 + 0.977240i \(0.568042\pi\)
\(350\) 163.464 + 45.4207i 0.0249643 + 0.00693668i
\(351\) −5858.15 1702.21i −0.890840 0.258853i
\(352\) −5850.74 + 1281.72i −0.885924 + 0.194080i
\(353\) −1425.14 + 1698.41i −0.214879 + 0.256083i −0.862707 0.505703i \(-0.831233\pi\)
0.647828 + 0.761787i \(0.275677\pi\)
\(354\) 2971.15 + 221.462i 0.446087 + 0.0332502i
\(355\) −383.963 + 67.7030i −0.0574046 + 0.0101220i
\(356\) −4644.62 + 3753.45i −0.691473 + 0.558799i
\(357\) −3596.14 + 79.4653i −0.533132 + 0.0117808i
\(358\) −9707.62 4636.26i −1.43314 0.684453i
\(359\) −2830.32 + 4902.27i −0.416097 + 0.720701i −0.995543 0.0943096i \(-0.969936\pi\)
0.579446 + 0.815011i \(0.303269\pi\)
\(360\) 4713.23 + 4560.15i 0.690025 + 0.667613i
\(361\) 1702.34 + 2948.54i 0.248191 + 0.429879i
\(362\) −362.035 4629.72i −0.0525640 0.672190i
\(363\) 1143.83 445.175i 0.165387 0.0643681i
\(364\) 331.990 + 2109.77i 0.0478050 + 0.303797i
\(365\) 4072.65 + 4853.60i 0.584034 + 0.696025i
\(366\) −546.787 5442.35i −0.0780902 0.777257i
\(367\) 3425.21 + 9410.69i 0.487179 + 1.33851i 0.903224 + 0.429169i \(0.141193\pi\)
−0.416046 + 0.909344i \(0.636584\pi\)
\(368\) 5641.65 8988.44i 0.799162 1.27325i
\(369\) −247.346 5594.00i −0.0348952 0.789192i
\(370\) −4247.63 + 4169.96i −0.596821 + 0.585908i
\(371\) −135.637 + 769.235i −0.0189809 + 0.107646i
\(372\) 1398.83 2443.34i 0.194963 0.340542i
\(373\) −10364.5 3772.38i −1.43875 0.523663i −0.499326 0.866414i \(-0.666419\pi\)
−0.939426 + 0.342751i \(0.888641\pi\)
\(374\) −1016.61 + 10502.8i −0.140555 + 1.45210i
\(375\) −7372.38 + 1468.58i −1.01522 + 0.202233i
\(376\) −1304.53 + 77.8223i −0.178925 + 0.0106739i
\(377\) 8646.25i 1.18118i
\(378\) −2072.14 1281.33i −0.281956 0.174351i
\(379\) 2954.00i 0.400361i 0.979759 + 0.200180i \(0.0641528\pi\)
−0.979759 + 0.200180i \(0.935847\pi\)
\(380\) 2824.24 + 8228.95i 0.381265 + 1.11088i
\(381\) 1988.31 + 2265.96i 0.267360 + 0.304695i
\(382\) 4762.33 + 460.966i 0.637859 + 0.0617411i
\(383\) 7673.68 + 2792.99i 1.02378 + 0.372624i 0.798708 0.601719i \(-0.205517\pi\)
0.225069 + 0.974343i \(0.427739\pi\)
\(384\) −5542.11 + 5090.01i −0.736509 + 0.676428i
\(385\) 378.668 2147.54i 0.0501266 0.284282i
\(386\) −624.828 636.467i −0.0823910 0.0839257i
\(387\) −2323.91 + 7384.76i −0.305248 + 0.969997i
\(388\) −132.330 + 7169.83i −0.0173145 + 0.938126i
\(389\) −295.533 811.971i −0.0385196 0.105832i 0.918942 0.394393i \(-0.129045\pi\)
−0.957461 + 0.288562i \(0.906823\pi\)
\(390\) −4006.73 5568.32i −0.520227 0.722981i
\(391\) −12017.5 14322.0i −1.55436 1.85241i
\(392\) 792.344 6862.68i 0.102090 0.884228i
\(393\) −1241.00 + 8077.83i −0.159289 + 1.03683i
\(394\) 3773.84 295.107i 0.482546 0.0377342i
\(395\) −5820.67 10081.7i −0.741442 1.28422i
\(396\) −4451.56 + 5591.24i −0.564897 + 0.709521i
\(397\) 1950.48 3378.34i 0.246579 0.427088i −0.715995 0.698105i \(-0.754027\pi\)
0.962574 + 0.271017i \(0.0873601\pi\)
\(398\) 6548.44 13711.4i 0.824733 1.72686i
\(399\) −1677.45 2762.63i −0.210470 0.346628i
\(400\) −85.7805 619.355i −0.0107226 0.0774194i
\(401\) 6578.38 1159.95i 0.819224 0.144451i 0.251697 0.967806i \(-0.419011\pi\)
0.567527 + 0.823355i \(0.307900\pi\)
\(402\) −5870.40 3998.93i −0.728330 0.496141i
\(403\) −1893.03 + 2256.02i −0.233991 + 0.278860i
\(404\) −7927.15 + 13163.1i −0.976214 + 1.62101i
\(405\) 7796.45 + 673.392i 0.956564 + 0.0826201i
\(406\) −924.442 + 3326.96i −0.113003 + 0.406686i
\(407\) −4969.15 4169.61i −0.605188 0.507813i
\(408\) 5535.32 + 12045.8i 0.671665 + 1.46166i
\(409\) 1689.24 + 9580.16i 0.204224 + 1.15821i 0.898656 + 0.438653i \(0.144544\pi\)
−0.694433 + 0.719558i \(0.744345\pi\)
\(410\) 3659.06 5124.39i 0.440752 0.617257i
\(411\) −5244.90 + 3184.67i −0.629469 + 0.382210i
\(412\) 3737.02 + 3255.12i 0.446869 + 0.389243i
\(413\) −1077.88 622.317i −0.128424 0.0741458i
\(414\) −1543.91 12568.5i −0.183283 1.49205i
\(415\) −9066.98 + 5234.82i −1.07248 + 0.619199i
\(416\) 6649.07 4212.57i 0.783647 0.496486i
\(417\) −8678.15 1333.23i −1.01911 0.156568i
\(418\) −8629.45 + 3927.45i −1.00976 + 0.459564i
\(419\) 4346.37 3647.04i 0.506764 0.425225i −0.353225 0.935538i \(-0.614915\pi\)
0.859989 + 0.510313i \(0.170471\pi\)
\(420\) −946.381 2571.01i −0.109949 0.298696i
\(421\) −13952.2 + 5078.20i −1.61518 + 0.587877i −0.982455 0.186499i \(-0.940286\pi\)
−0.632725 + 0.774377i \(0.718064\pi\)
\(422\) −2645.68 10251.3i −0.305189 1.18252i
\(423\) −1149.12 + 1054.14i −0.132085 + 0.121168i
\(424\) 2800.20 667.823i 0.320731 0.0764914i
\(425\) −1084.82 191.283i −0.123815 0.0218319i
\(426\) −382.281 372.568i −0.0434779 0.0423732i
\(427\) −781.507 + 2147.17i −0.0885709 + 0.243347i
\(428\) 5899.57 15323.0i 0.666277 1.73053i
\(429\) 5619.30 4930.75i 0.632407 0.554916i
\(430\) −7177.10 + 4927.39i −0.804908 + 0.552605i
\(431\) −9184.34 −1.02644 −0.513218 0.858258i \(-0.671547\pi\)
−0.513218 + 0.858258i \(0.671547\pi\)
\(432\) −1298.82 + 8884.52i −0.144651 + 0.989483i
\(433\) 5662.42 0.628449 0.314225 0.949349i \(-0.398256\pi\)
0.314225 + 0.949349i \(0.398256\pi\)
\(434\) −969.622 + 665.688i −0.107243 + 0.0736269i
\(435\) −2166.79 10877.4i −0.238827 1.19893i
\(436\) 846.669 2199.07i 0.0930003 0.241551i
\(437\) 5745.55 15785.8i 0.628940 1.72800i
\(438\) −2137.18 + 8407.29i −0.233147 + 0.917160i
\(439\) 8910.57 + 1571.17i 0.968743 + 0.170816i 0.635564 0.772048i \(-0.280768\pi\)
0.333179 + 0.942864i \(0.391879\pi\)
\(440\) −7817.54 + 1864.42i −0.847015 + 0.202006i
\(441\) −4432.94 6949.82i −0.478668 0.750440i
\(442\) −3465.29 13427.0i −0.372912 1.44493i
\(443\) −9211.64 + 3352.76i −0.987942 + 0.359581i −0.784923 0.619593i \(-0.787297\pi\)
−0.203019 + 0.979175i \(0.565075\pi\)
\(444\) −8030.87 1385.94i −0.858396 0.148139i
\(445\) −6138.23 + 5150.59i −0.653888 + 0.548677i
\(446\) −1843.09 + 838.829i −0.195679 + 0.0890577i
\(447\) 2531.66 + 6504.81i 0.267882 + 0.688293i
\(448\) 3008.87 910.033i 0.317312 0.0959710i
\(449\) 5721.89 3303.53i 0.601409 0.347224i −0.168187 0.985755i \(-0.553791\pi\)
0.769596 + 0.638531i \(0.220458\pi\)
\(450\) −545.687 508.806i −0.0571643 0.0533008i
\(451\) 5942.62 + 3430.97i 0.620459 + 0.358222i
\(452\) 4834.95 + 4211.46i 0.503134 + 0.438253i
\(453\) 180.603 + 8173.05i 0.0187317 + 0.847690i
\(454\) 9106.49 12753.3i 0.941385 1.31838i
\(455\) 497.634 + 2822.23i 0.0512735 + 0.290787i
\(456\) −6886.60 + 9719.04i −0.707225 + 0.998105i
\(457\) 13837.8 + 11611.3i 1.41642 + 1.18852i 0.953226 + 0.302258i \(0.0977403\pi\)
0.463192 + 0.886258i \(0.346704\pi\)
\(458\) −4187.38 + 15069.9i −0.427212 + 1.53749i
\(459\) 14193.0 + 6984.55i 1.44330 + 0.710263i
\(460\) 7346.21 12198.5i 0.744606 1.23643i
\(461\) 5542.80 6605.65i 0.559986 0.667366i −0.409557 0.912284i \(-0.634317\pi\)
0.969544 + 0.244919i \(0.0787612\pi\)
\(462\) 2689.42 1296.48i 0.270829 0.130558i
\(463\) −4322.52 + 762.177i −0.433876 + 0.0765041i −0.386321 0.922365i \(-0.626254\pi\)
−0.0475555 + 0.998869i \(0.515143\pi\)
\(464\) 12605.7 1745.88i 1.26121 0.174678i
\(465\) 1816.16 3312.60i 0.181123 0.330361i
\(466\) −5946.51 + 12451.1i −0.591130 + 1.23774i
\(467\) −6656.49 + 11529.4i −0.659584 + 1.14243i 0.321140 + 0.947032i \(0.395934\pi\)
−0.980724 + 0.195400i \(0.937399\pi\)
\(468\) 2984.18 8905.56i 0.294752 0.879615i
\(469\) 1483.64 + 2569.73i 0.146072 + 0.253005i
\(470\) −1748.21 + 136.707i −0.171572 + 0.0134166i
\(471\) −1795.70 1440.39i −0.175672 0.140912i
\(472\) −526.114 + 4556.80i −0.0513059 + 0.444372i
\(473\) −6098.31 7267.69i −0.592813 0.706487i
\(474\) 6549.48 14530.6i 0.634657 1.40805i
\(475\) −338.523 930.086i −0.0327000 0.0898426i
\(476\) 102.194 5537.03i 0.00984046 0.533171i
\(477\) 2089.60 2726.35i 0.200579 0.261700i
\(478\) 8043.70 + 8193.53i 0.769687 + 0.784024i
\(479\) −1115.16 + 6324.37i −0.106373 + 0.603273i 0.884289 + 0.466939i \(0.154643\pi\)
−0.990663 + 0.136334i \(0.956468\pi\)
\(480\) −7309.19 + 6965.92i −0.695036 + 0.662394i
\(481\) 8010.60 + 2915.62i 0.759360 + 0.276384i
\(482\) 11852.6 + 1147.27i 1.12007 + 0.108416i
\(483\) −1699.01 + 5009.68i −0.160057 + 0.471943i
\(484\) 613.441 + 1787.37i 0.0576109 + 0.167860i
\(485\) 9622.23i 0.900872i
\(486\) 5486.18 + 9202.89i 0.512054 + 0.858953i
\(487\) 4930.30i 0.458754i 0.973338 + 0.229377i \(0.0736689\pi\)
−0.973338 + 0.229377i \(0.926331\pi\)
\(488\) 8406.28 501.481i 0.779783 0.0465184i
\(489\) 2493.57 7352.52i 0.230600 0.679944i
\(490\) 893.073 9226.51i 0.0823366 0.850635i
\(491\) −10571.0 3847.55i −0.971618 0.353640i −0.193042 0.981190i \(-0.561835\pi\)
−0.778576 + 0.627550i \(0.784058\pi\)
\(492\) 8620.88 31.3749i 0.789958 0.00287498i
\(493\) 3893.16 22079.2i 0.355657 2.01703i
\(494\) 8891.36 8728.77i 0.809800 0.794992i
\(495\) −5833.71 + 7611.37i −0.529709 + 0.691122i
\(496\) 3671.38 + 2304.37i 0.332359 + 0.208607i
\(497\) 76.2688 + 209.547i 0.00688355 + 0.0189124i
\(498\) −13068.1 5890.28i −1.17590 0.530019i
\(499\) 11050.0 + 13168.9i 0.991315 + 1.18140i 0.983403 + 0.181434i \(0.0580740\pi\)
0.00791186 + 0.999969i \(0.497482\pi\)
\(500\) −1799.05 11432.8i −0.160912 1.02258i
\(501\) 14590.2 + 11703.2i 1.30108 + 1.04364i
\(502\) 1085.19 + 13877.4i 0.0964826 + 1.23382i
\(503\) −5158.83 8935.36i −0.457298 0.792064i 0.541519 0.840689i \(-0.317850\pi\)
−0.998817 + 0.0486247i \(0.984516\pi\)
\(504\) 2100.44 3107.68i 0.185637 0.274657i
\(505\) −10309.0 + 17855.8i −0.908408 + 1.57341i
\(506\) 14003.0 + 6687.71i 1.23026 + 0.587560i
\(507\) 765.043 1395.41i 0.0670153 0.122233i
\(508\) −3609.91 + 2917.27i −0.315283 + 0.254789i
\(509\) −17278.4 + 3046.65i −1.50462 + 0.265305i −0.864368 0.502859i \(-0.832281\pi\)
−0.640252 + 0.768165i \(0.721170\pi\)
\(510\) 7724.39 + 16023.5i 0.670670 + 1.39124i
\(511\) 2329.35 2776.01i 0.201653 0.240320i
\(512\) −7484.25 8843.29i −0.646016 0.763324i
\(513\) 941.391 + 14182.2i 0.0810204 + 1.22058i
\(514\) 1971.86 + 547.907i 0.169212 + 0.0470178i
\(515\) 5094.15 + 4274.50i 0.435874 + 0.365742i
\(516\) −11215.2 4035.84i −0.956825 0.344318i
\(517\) −331.837 1881.94i −0.0282286 0.160092i
\(518\) 2770.64 + 1978.37i 0.235010 + 0.167808i
\(519\) −221.613 10028.9i −0.0187432 0.848209i
\(520\) 8816.00 5816.17i 0.743476 0.490492i
\(521\) −9696.35 5598.19i −0.815364 0.470751i 0.0334509 0.999440i \(-0.489350\pi\)
−0.848815 + 0.528690i \(0.822684\pi\)
\(522\) 10355.7 11106.3i 0.868307 0.931245i
\(523\) 372.330 214.965i 0.0311298 0.0179728i −0.484354 0.874872i \(-0.660945\pi\)
0.515484 + 0.856899i \(0.327612\pi\)
\(524\) −12349.0 2413.23i −1.02952 0.201187i
\(525\) 113.045 + 290.457i 0.00939751 + 0.0241458i
\(526\) −3485.42 7658.21i −0.288919 0.634817i
\(527\) 5849.89 4908.64i 0.483539 0.405737i
\(528\) −8323.38 7196.94i −0.686039 0.593194i
\(529\) −14403.8 + 5242.55i −1.18384 + 0.430882i
\(530\) 3740.18 965.279i 0.306534 0.0791114i
\(531\) 2943.46 + 4614.66i 0.240556 + 0.377136i
\(532\) 4354.54 2408.07i 0.354875 0.196246i
\(533\) −8880.76 1565.92i −0.721705 0.127256i
\(534\) −10632.5 2702.84i −0.861636 0.219032i
\(535\) 7535.38 20703.3i 0.608940 1.67305i
\(536\) 6518.07 8781.06i 0.525257 0.707620i
\(537\) −3861.05 19382.7i −0.310273 1.55759i
\(538\) −7010.40 10211.1i −0.561784 0.818278i
\(539\) 10101.8 0.807264
\(540\) −1522.49 + 11951.5i −0.121328 + 0.952429i
\(541\) −2064.42 −0.164060 −0.0820300 0.996630i \(-0.526140\pi\)
−0.0820300 + 0.996630i \(0.526140\pi\)
\(542\) −6649.28 9685.14i −0.526958 0.767551i
\(543\) 6412.62 5626.86i 0.506799 0.444699i
\(544\) −18876.0 + 7763.39i −1.48768 + 0.611861i
\(545\) 1081.43 2971.21i 0.0849971 0.233528i
\(546\) −2738.47 + 2809.87i −0.214644 + 0.220240i
\(547\) −18337.4 3233.38i −1.43337 0.252741i −0.597586 0.801804i \(-0.703874\pi\)
−0.835781 + 0.549063i \(0.814985\pi\)
\(548\) −4571.75 8267.17i −0.356379 0.644445i
\(549\) 7404.81 6792.82i 0.575646 0.528070i
\(550\) 885.305 228.483i 0.0686355 0.0177137i
\(551\) 18929.9 6889.94i 1.46360 0.532706i
\(552\) 19431.0 1590.64i 1.49826 0.122648i
\(553\) −5100.52 + 4279.85i −0.392218 + 0.329110i
\(554\) 8091.27 + 17778.3i 0.620515 + 1.36340i
\(555\) −10808.4 1660.51i −0.826653 0.127000i
\(556\) 2592.57 13266.7i 0.197751 1.01193i
\(557\) −1257.42 + 725.971i −0.0956526 + 0.0552251i −0.547063 0.837091i \(-0.684254\pi\)
0.451411 + 0.892316i \(0.350921\pi\)
\(558\) 5133.70 630.619i 0.389474 0.0478427i
\(559\) 10797.5 + 6233.95i 0.816971 + 0.471678i
\(560\) 4014.14 1295.39i 0.302907 0.0977505i
\(561\) −16569.7 + 10061.0i −1.24701 + 0.757178i
\(562\) −2314.06 1652.35i −0.173688 0.124022i
\(563\) −280.637 1591.57i −0.0210079 0.119141i 0.972500 0.232901i \(-0.0748218\pi\)
−0.993508 + 0.113759i \(0.963711\pi\)
\(564\) −1549.91 1833.52i −0.115714 0.136888i
\(565\) 6590.79 + 5530.33i 0.490755 + 0.411792i
\(566\) 23318.1 + 6479.26i 1.73169 + 0.481173i
\(567\) −395.033 4458.31i −0.0292589 0.330214i
\(568\) 596.994 564.824i 0.0441009 0.0417245i
\(569\) 9035.49 10768.1i 0.665707 0.793359i −0.322486 0.946574i \(-0.604518\pi\)
0.988193 + 0.153216i \(0.0489629\pi\)
\(570\) −8998.33 + 13209.5i −0.661226 + 0.970674i
\(571\) −1765.80 + 311.358i −0.129416 + 0.0228195i −0.237981 0.971270i \(-0.576486\pi\)
0.108565 + 0.994089i \(0.465374\pi\)
\(572\) 7234.44 + 8952.10i 0.528824 + 0.654381i
\(573\) 4562.02 + 7513.28i 0.332602 + 0.547769i
\(574\) −3249.78 1552.06i −0.236312 0.112860i
\(575\) −809.998 + 1402.96i −0.0587465 + 0.101752i
\(576\) −13586.3 2552.50i −0.982806 0.184643i
\(577\) 2892.95 + 5010.74i 0.208726 + 0.361525i 0.951314 0.308225i \(-0.0997349\pi\)
−0.742587 + 0.669749i \(0.766402\pi\)
\(578\) 1719.88 + 21993.9i 0.123768 + 1.58275i
\(579\) 248.811 1619.54i 0.0178588 0.116245i
\(580\) 16868.4 2654.38i 1.20762 0.190030i
\(581\) 3849.08 + 4587.16i 0.274848 + 0.327552i
\(582\) −10693.4 + 7694.55i −0.761611 + 0.548023i
\(583\) 1439.74 + 3955.64i 0.102277 + 0.281005i
\(584\) −12799.9 3812.41i −0.906955 0.270134i
\(585\) 3783.04 12021.5i 0.267366 0.849620i
\(586\) 9593.84 9418.40i 0.676310 0.663943i
\(587\) −2306.48 + 13080.7i −0.162178 + 0.919759i 0.789748 + 0.613431i \(0.210211\pi\)
−0.951926 + 0.306327i \(0.900900\pi\)
\(588\) 10967.8 6385.61i 0.769227 0.447854i
\(589\) 6447.79 + 2346.80i 0.451064 + 0.164174i
\(590\) −592.998 + 6126.38i −0.0413785 + 0.427490i
\(591\) 4586.63 + 5227.13i 0.319237 + 0.363816i
\(592\) 2633.26 12267.7i 0.182814 0.851686i
\(593\) 9783.67i 0.677516i −0.940873 0.338758i \(-0.889993\pi\)
0.940873 0.338758i \(-0.110007\pi\)
\(594\) −13123.7 396.619i −0.906520 0.0273964i
\(595\) 7430.95i 0.511999i
\(596\) −10164.6 + 3488.57i −0.698587 + 0.239761i
\(597\) 27377.0 5453.50i 1.87682 0.373864i
\(598\) −20298.5 1964.78i −1.38807 0.134358i
\(599\) −5175.15 1883.60i −0.353007 0.128484i 0.159429 0.987209i \(-0.449035\pi\)
−0.512436 + 0.858725i \(0.671257\pi\)
\(600\) 816.772 807.694i 0.0555743 0.0549566i
\(601\) −3794.30 + 21518.6i −0.257526 + 1.46050i 0.531980 + 0.846757i \(0.321448\pi\)
−0.789506 + 0.613743i \(0.789663\pi\)
\(602\) 3488.22 + 3553.20i 0.236162 + 0.240561i
\(603\) −576.420 13036.4i −0.0389281 0.880401i
\(604\) −12584.2 232.259i −0.847752 0.0156465i
\(605\) 867.242 + 2382.73i 0.0582784 + 0.160119i
\(606\) −28087.4 + 2821.91i −1.88279 + 0.189162i
\(607\) 11116.2 + 13247.7i 0.743314 + 0.885847i 0.996671 0.0815257i \(-0.0259793\pi\)
−0.253357 + 0.967373i \(0.581535\pi\)
\(608\) −14521.4 11200.5i −0.968616 0.747104i
\(609\) −5911.63 + 2300.80i −0.393352 + 0.153092i
\(610\) 11265.3 880.928i 0.747738 0.0584717i
\(611\) 1255.67 + 2174.89i 0.0831408 + 0.144004i
\(612\) −11630.4 + 21397.7i −0.768187 + 1.41332i
\(613\) 6123.41 10606.1i 0.403462 0.698817i −0.590679 0.806907i \(-0.701140\pi\)
0.994141 + 0.108090i \(0.0344733\pi\)
\(614\) −8384.34 + 17555.5i −0.551082 + 1.15388i
\(615\) 11564.9 255.554i 0.758279 0.0167560i
\(616\) 1826.57 + 4218.14i 0.119472 + 0.275899i
\(617\) −9669.50 + 1704.99i −0.630923 + 0.111249i −0.479960 0.877291i \(-0.659349\pi\)
−0.150963 + 0.988539i \(0.548238\pi\)
\(618\) −676.757 + 9079.42i −0.0440504 + 0.590984i
\(619\) 13654.8 16273.1i 0.886644 1.05666i −0.111377 0.993778i \(-0.535526\pi\)
0.998021 0.0628826i \(-0.0200294\pi\)
\(620\) 4982.54 + 3000.60i 0.322748 + 0.194366i
\(621\) 16791.3 16100.9i 1.08504 1.04043i
\(622\) −2564.11 + 9227.93i −0.165292 + 0.594866i
\(623\) 3510.76 + 2945.88i 0.225771 + 0.189445i
\(624\) 13513.5 + 5146.48i 0.866944 + 0.330167i
\(625\) −2484.61 14091.0i −0.159015 0.901821i
\(626\) −10371.0 + 14524.2i −0.662155 + 0.927325i
\(627\) −15273.1 8373.63i −0.972808 0.533350i
\(628\) 2327.87 2672.50i 0.147917 0.169816i
\(629\) −19143.2 11052.3i −1.21349 0.700612i
\(630\) 2740.98 4221.23i 0.173338 0.266949i
\(631\) 11287.8 6517.01i 0.712139 0.411154i −0.0997136 0.995016i \(-0.531793\pi\)
0.811852 + 0.583863i \(0.198459\pi\)
\(632\) 21944.2 + 10982.2i 1.38116 + 0.691213i
\(633\) 12169.9 15172.0i 0.764156 0.952659i
\(634\) −15039.7 + 6844.89i −0.942117 + 0.428778i
\(635\) −4770.77 + 4003.15i −0.298145 + 0.250174i
\(636\) 4063.63 + 3384.66i 0.253354 + 0.211023i
\(637\) −12474.9 + 4540.48i −0.775938 + 0.282418i
\(638\) 4650.29 + 18018.5i 0.288568 + 1.11812i
\(639\) 127.463 972.341i 0.00789100 0.0601959i
\(640\) −10259.7 11678.7i −0.633675 0.721316i
\(641\) −958.510 169.011i −0.0590622 0.0104143i 0.144039 0.989572i \(-0.453991\pi\)
−0.203101 + 0.979158i \(0.565102\pi\)
\(642\) 29033.9 8181.40i 1.78485 0.502950i
\(643\) −2691.69 + 7395.36i −0.165085 + 0.453568i −0.994459 0.105126i \(-0.966475\pi\)
0.829374 + 0.558694i \(0.188698\pi\)
\(644\) −7600.53 2926.30i −0.465067 0.179057i
\(645\) −15146.1 5136.73i −0.924617 0.313579i
\(646\) −26635.4 + 18286.4i −1.62222 + 1.11373i
\(647\) −2428.82 −0.147584 −0.0737920 0.997274i \(-0.523510\pi\)
−0.0737920 + 0.997274i \(0.523510\pi\)
\(648\) −14499.5 + 7865.22i −0.879005 + 0.476813i
\(649\) −6707.57 −0.405694
\(650\) −990.580 + 680.077i −0.0597750 + 0.0410382i
\(651\) −2046.23 693.970i −0.123192 0.0417801i
\(652\) 11155.0 + 4294.83i 0.670037 + 0.257973i
\(653\) −4997.18 + 13729.6i −0.299471 + 0.822791i 0.695117 + 0.718897i \(0.255353\pi\)
−0.994588 + 0.103894i \(0.966870\pi\)
\(654\) 4166.76 1174.14i 0.249133 0.0702028i
\(655\) −16627.0 2931.78i −0.991861 0.174892i
\(656\) −489.772 + 13263.8i −0.0291499 + 0.789425i
\(657\) −14719.9 + 6106.76i −0.874094 + 0.362629i
\(658\) 250.631 + 971.122i 0.0148489 + 0.0575354i
\(659\) 7541.68 2744.95i 0.445800 0.162258i −0.109359 0.994002i \(-0.534880\pi\)
0.555159 + 0.831744i \(0.312658\pi\)
\(660\) −11344.8 9449.23i −0.669082 0.557289i
\(661\) −3866.01 + 3243.97i −0.227489 + 0.190886i −0.749407 0.662110i \(-0.769661\pi\)
0.521918 + 0.852996i \(0.325217\pi\)
\(662\) −3162.13 + 1439.15i −0.185649 + 0.0844928i
\(663\) 15940.0 19872.1i 0.933725 1.16406i
\(664\) 9876.82 19735.6i 0.577251 1.15345i
\(665\) 5782.38 3338.46i 0.337189 0.194676i
\(666\) −6797.74 13339.5i −0.395506 0.776121i
\(667\) −28554.3 16485.8i −1.65761 0.957021i
\(668\) −18914.1 + 21714.2i −1.09552 + 1.25771i
\(669\) −3262.05 1788.45i −0.188518 0.103356i
\(670\) 8527.14 11942.0i 0.491690 0.688594i
\(671\) 2138.33 + 12127.1i 0.123024 + 0.697706i
\(672\) 4649.56 + 3425.14i 0.266906 + 0.196618i
\(673\) 20297.5 + 17031.6i 1.16257 + 0.975514i 0.999938 0.0111724i \(-0.00355636\pi\)
0.162635 + 0.986686i \(0.448001\pi\)
\(674\) 3051.08 10980.5i 0.174367 0.627527i
\(675\) 148.087 1362.64i 0.00844426 0.0777009i
\(676\) 2098.86 + 1263.98i 0.119416 + 0.0719152i
\(677\) −19455.9 + 23186.6i −1.10451 + 1.31630i −0.160254 + 0.987076i \(0.551231\pi\)
−0.944252 + 0.329223i \(0.893213\pi\)
\(678\) −875.585 + 11746.9i −0.0495968 + 0.665395i
\(679\) 5419.82 955.661i 0.306324 0.0540131i
\(680\) −25131.5 + 10882.7i −1.41728 + 0.613722i
\(681\) 28782.1 636.010i 1.61958 0.0357885i
\(682\) −2731.64 + 5719.63i −0.153372 + 0.321137i
\(683\) 2211.69 3830.77i 0.123906 0.214612i −0.797399 0.603453i \(-0.793791\pi\)
0.921305 + 0.388841i \(0.127124\pi\)
\(684\) −21875.7 + 563.055i −1.22286 + 0.0314750i
\(685\) −6338.11 10977.9i −0.353528 0.612329i
\(686\) −11223.8 + 877.683i −0.624677 + 0.0488485i
\(687\) −26777.5 + 10421.7i −1.48708 + 0.578769i
\(688\) 6908.42 17000.9i 0.382821 0.942081i
\(689\) −3555.90 4237.76i −0.196617 0.234319i
\(690\) 26029.0 2615.11i 1.43610 0.144283i
\(691\) 2368.10 + 6506.29i 0.130371 + 0.358192i 0.987653 0.156655i \(-0.0500710\pi\)
−0.857282 + 0.514847i \(0.827849\pi\)
\(692\) 15441.7 + 284.999i 0.848272 + 0.0156561i
\(693\) 4866.58 + 2529.95i 0.266762 + 0.138680i
\(694\) 11677.9 + 11895.4i 0.638743 + 0.650641i
\(695\) 3149.67 17862.6i 0.171904 0.974919i
\(696\) 16438.9 + 16623.7i 0.895281 + 0.905343i
\(697\) 21973.0 + 7997.51i 1.19410 + 0.434616i
\(698\) −17094.3 1654.63i −0.926973 0.0897256i
\(699\) −24860.5 + 4952.22i −1.34522 + 0.267968i
\(700\) −453.875 + 155.774i −0.0245069 + 0.00841098i
\(701\) 8648.00i 0.465949i 0.972483 + 0.232975i \(0.0748459\pi\)
−0.972483 + 0.232975i \(0.925154\pi\)
\(702\) 16385.0 5408.96i 0.880926 0.290809i
\(703\) 19861.6i 1.06557i
\(704\) 11590.8 12355.0i 0.620517 0.661429i
\(705\) −2124.74 2421.45i −0.113507 0.129357i
\(706\) 604.170 6241.79i 0.0322071 0.332738i
\(707\) 11081.3 + 4033.27i 0.589471 + 0.214550i
\(708\) −7282.60 + 4240.03i −0.386578 + 0.225071i
\(709\) 5230.71 29664.8i 0.277071 1.57135i −0.455234 0.890372i \(-0.650444\pi\)
0.732305 0.680976i \(-0.238444\pi\)
\(710\) 786.934 772.544i 0.0415959 0.0408353i
\(711\) 28583.2 6353.38i 1.50767 0.335120i
\(712\) 4821.46 16187.7i 0.253781 0.852049i
\(713\) −3841.08 10553.3i −0.201753 0.554311i
\(714\) 8258.21 5942.26i 0.432851 0.311461i
\(715\) 9927.30 + 11830.9i 0.519245 + 0.618812i
\(716\) 30058.1 4729.90i 1.56889 0.246878i
\(717\) −3203.06 + 20849.1i −0.166835 + 1.08595i
\(718\) −1248.20 15962.0i −0.0648779 0.829661i
\(719\) 9186.14 + 15910.9i 0.476474 + 0.825278i 0.999637 0.0269553i \(-0.00858117\pi\)
−0.523162 + 0.852233i \(0.675248\pi\)
\(720\) −18290.4 3088.00i −0.946728 0.159837i
\(721\) 1901.72 3293.87i 0.0982296 0.170139i
\(722\) −8689.72 4150.12i −0.447920 0.213922i
\(723\) 11354.1 + 18699.3i 0.584043 + 0.961871i
\(724\) 8255.78 + 10215.9i 0.423789 + 0.524409i
\(725\) −1913.15 + 337.340i −0.0980036 + 0.0172807i
\(726\) −1954.49 + 2869.17i −0.0999144 + 0.146673i
\(727\) −14232.0 + 16961.0i −0.726044 + 0.865266i −0.995203 0.0978300i \(-0.968810\pi\)
0.269159 + 0.963096i \(0.413254\pi\)
\(728\) −4151.60 4388.06i −0.211358 0.223396i
\(729\) −7502.11 + 18197.2i −0.381147 + 0.924515i
\(730\) −17266.5 4797.74i −0.875429 0.243250i
\(731\) −24765.8 20780.9i −1.25307 1.05145i
\(732\) 9987.49 + 11815.0i 0.504301 + 0.596579i
\(733\) −2148.18 12182.9i −0.108247 0.613898i −0.989874 0.141951i \(-0.954662\pi\)
0.881627 0.471947i \(-0.156449\pi\)
\(734\) −23052.2 16460.4i −1.15922 0.827742i
\(735\) 14556.2 8838.43i 0.730494 0.443551i
\(736\) 1234.23 + 29990.6i 0.0618128 + 1.50200i
\(737\) 13848.8 + 7995.60i 0.692167 + 0.399623i
\(738\) 9532.03 + 12648.0i 0.475446 + 0.630867i
\(739\) 15136.0 8738.77i 0.753432 0.434994i −0.0735005 0.997295i \(-0.523417\pi\)
0.826933 + 0.562301i \(0.190084\pi\)
\(740\) 3228.98 16523.4i 0.160405 0.820825i
\(741\) 22624.8 + 3475.86i 1.12165 + 0.172320i
\(742\) −915.171 2010.83i −0.0452789 0.0994875i
\(743\) −13556.6 + 11375.3i −0.669371 + 0.561669i −0.912879 0.408230i \(-0.866146\pi\)
0.243508 + 0.969899i \(0.421702\pi\)
\(744\) 649.705 + 7936.70i 0.0320152 + 0.391094i
\(745\) −13550.3 + 4931.91i −0.666369 + 0.242539i
\(746\) 30206.9 7795.91i 1.48251 0.382612i
\(747\) −5713.92 25706.4i −0.279868 1.25910i
\(748\) −14443.1 26117.7i −0.706006 1.27668i
\(749\) −12409.7 2188.17i −0.605397 0.106748i
\(750\) 14839.8 15226.6i 0.722496 0.741331i
\(751\) −7041.01 + 19345.0i −0.342117 + 0.939960i 0.642662 + 0.766150i \(0.277830\pi\)
−0.984779 + 0.173810i \(0.944392\pi\)
\(752\) 2917.29 2269.85i 0.141466 0.110070i
\(753\) −19221.6 + 16866.3i −0.930243 + 0.816258i
\(754\) −13841.5 20161.2i −0.668540 0.973776i