Properties

Label 108.4.l.a.11.18
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 11.18
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.49038 + 2.40390i) q^{2} +(1.35776 + 5.01562i) q^{3} +(-3.55752 - 7.16548i) q^{4} +(-5.18482 + 14.2452i) q^{5} +(-14.0807 - 4.21127i) q^{6} +(9.21752 + 1.62530i) q^{7} +(22.5272 + 2.12738i) q^{8} +(-23.3130 + 13.6200i) q^{9} +O(q^{10})\) \(q+(-1.49038 + 2.40390i) q^{2} +(1.35776 + 5.01562i) q^{3} +(-3.55752 - 7.16548i) q^{4} +(-5.18482 + 14.2452i) q^{5} +(-14.0807 - 4.21127i) q^{6} +(9.21752 + 1.62530i) q^{7} +(22.5272 + 2.12738i) q^{8} +(-23.3130 + 13.6200i) q^{9} +(-26.5167 - 33.6946i) q^{10} +(-59.3614 + 21.6058i) q^{11} +(31.1091 - 27.5722i) q^{12} +(44.8414 - 37.6264i) q^{13} +(-17.6447 + 19.7357i) q^{14} +(-78.4882 - 6.66357i) q^{15} +(-38.6881 + 50.9826i) q^{16} +(50.3759 - 29.0845i) q^{17} +(2.00400 - 76.3412i) q^{18} +(-46.1670 - 26.6545i) q^{19} +(120.519 - 13.5257i) q^{20} +(4.36330 + 48.4384i) q^{21} +(36.5330 - 174.900i) q^{22} +(-2.42499 - 13.7528i) q^{23} +(19.9164 + 115.876i) q^{24} +(-80.2871 - 67.3689i) q^{25} +(23.6194 + 163.872i) q^{26} +(-99.9664 - 98.4364i) q^{27} +(-21.1454 - 71.8300i) q^{28} +(-12.2488 + 14.5975i) q^{29} +(132.996 - 178.747i) q^{30} +(-197.673 + 34.8550i) q^{31} +(-64.8972 - 168.986i) q^{32} +(-188.965 - 268.399i) q^{33} +(-5.16292 + 164.446i) q^{34} +(-70.9438 + 122.878i) q^{35} +(180.530 + 118.595i) q^{36} +(101.361 + 175.562i) q^{37} +(132.881 - 71.2556i) q^{38} +(249.604 + 173.820i) q^{39} +(-147.104 + 309.874i) q^{40} +(197.308 + 235.142i) q^{41} +(-122.944 - 61.7028i) q^{42} +(182.426 + 501.213i) q^{43} +(365.995 + 348.490i) q^{44} +(-73.1462 - 402.715i) q^{45} +(36.6746 + 14.6675i) q^{46} +(-39.9568 + 226.606i) q^{47} +(-308.239 - 124.823i) q^{48} +(-239.993 - 87.3505i) q^{49} +(281.607 - 92.5972i) q^{50} +(214.275 + 213.177i) q^{51} +(-429.136 - 187.454i) q^{52} +462.816i q^{53} +(385.620 - 93.6018i) q^{54} -957.635i q^{55} +(204.187 + 56.2225i) q^{56} +(71.0054 - 267.747i) q^{57} +(-16.8357 - 51.2009i) q^{58} +(-56.3577 - 20.5125i) q^{59} +(231.475 + 586.111i) q^{60} +(-45.0700 + 255.605i) q^{61} +(210.820 - 527.134i) q^{62} +(-237.024 + 87.6524i) q^{63} +(502.949 + 95.8476i) q^{64} +(303.500 + 833.860i) q^{65} +(926.835 - 54.2366i) q^{66} +(160.196 + 190.914i) q^{67} +(-387.617 - 257.498i) q^{68} +(65.6863 - 30.8359i) q^{69} +(-189.654 - 353.678i) q^{70} +(-533.420 - 923.911i) q^{71} +(-554.151 + 257.226i) q^{72} +(228.650 - 396.034i) q^{73} +(-573.100 - 17.9930i) q^{74} +(228.886 - 494.161i) q^{75} +(-26.7526 + 425.632i) q^{76} +(-582.280 + 102.672i) q^{77} +(-789.853 + 340.966i) q^{78} +(-441.698 + 526.395i) q^{79} +(-525.665 - 815.455i) q^{80} +(357.989 - 635.047i) q^{81} +(-859.323 + 123.857i) q^{82} +(894.982 + 750.979i) q^{83} +(331.562 - 203.586i) q^{84} +(153.124 + 868.411i) q^{85} +(-1476.75 - 308.463i) q^{86} +(-89.8467 - 41.6154i) q^{87} +(-1383.21 + 360.433i) q^{88} +(-114.202 - 65.9345i) q^{89} +(1077.10 + 424.363i) q^{90} +(474.481 - 273.942i) q^{91} +(-89.9185 + 66.3020i) q^{92} +(-443.212 - 944.127i) q^{93} +(-485.189 - 433.782i) q^{94} +(619.066 - 519.458i) q^{95} +(759.457 - 554.943i) q^{96} +(1017.66 - 370.397i) q^{97} +(567.664 - 446.736i) q^{98} +(1089.62 - 1312.20i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.49038 + 2.40390i −0.526930 + 0.849909i
\(3\) 1.35776 + 5.01562i 0.261301 + 0.965257i
\(4\) −3.55752 7.16548i −0.444690 0.895685i
\(5\) −5.18482 + 14.2452i −0.463744 + 1.27413i 0.458904 + 0.888486i \(0.348242\pi\)
−0.922649 + 0.385642i \(0.873980\pi\)
\(6\) −14.0807 4.21127i −0.958068 0.286541i
\(7\) 9.21752 + 1.62530i 0.497699 + 0.0877578i 0.416863 0.908970i \(-0.363130\pi\)
0.0808368 + 0.996727i \(0.474241\pi\)
\(8\) 22.5272 + 2.12738i 0.995571 + 0.0940176i
\(9\) −23.3130 + 13.6200i −0.863443 + 0.504446i
\(10\) −26.5167 33.6946i −0.838531 1.06552i
\(11\) −59.3614 + 21.6058i −1.62710 + 0.592217i −0.984716 0.174165i \(-0.944277\pi\)
−0.642385 + 0.766382i \(0.722055\pi\)
\(12\) 31.1091 27.5722i 0.748368 0.663283i
\(13\) 44.8414 37.6264i 0.956675 0.802746i −0.0237339 0.999718i \(-0.507555\pi\)
0.980409 + 0.196973i \(0.0631110\pi\)
\(14\) −17.6447 + 19.7357i −0.336839 + 0.376757i
\(15\) −78.4882 6.66357i −1.35104 0.114702i
\(16\) −38.6881 + 50.9826i −0.604502 + 0.796603i
\(17\) 50.3759 29.0845i 0.718702 0.414943i −0.0955726 0.995422i \(-0.530468\pi\)
0.814275 + 0.580480i \(0.197135\pi\)
\(18\) 2.00400 76.3412i 0.0262415 0.999656i
\(19\) −46.1670 26.6545i −0.557444 0.321840i 0.194675 0.980868i \(-0.437635\pi\)
−0.752119 + 0.659027i \(0.770968\pi\)
\(20\) 120.519 13.5257i 1.34744 0.151222i
\(21\) 4.36330 + 48.4384i 0.0453405 + 0.503339i
\(22\) 36.5330 174.900i 0.354039 1.69494i
\(23\) −2.42499 13.7528i −0.0219846 0.124681i 0.971840 0.235640i \(-0.0757187\pi\)
−0.993825 + 0.110960i \(0.964608\pi\)
\(24\) 19.9164 + 115.876i 0.169393 + 0.985549i
\(25\) −80.2871 67.3689i −0.642297 0.538951i
\(26\) 23.6194 + 163.872i 0.178160 + 1.23608i
\(27\) −99.9664 98.4364i −0.712539 0.701633i
\(28\) −21.1454 71.8300i −0.142718 0.484807i
\(29\) −12.2488 + 14.5975i −0.0784326 + 0.0934723i −0.803834 0.594854i \(-0.797210\pi\)
0.725401 + 0.688326i \(0.241654\pi\)
\(30\) 132.996 178.747i 0.809388 1.08782i
\(31\) −197.673 + 34.8550i −1.14526 + 0.201940i −0.713905 0.700242i \(-0.753075\pi\)
−0.431355 + 0.902182i \(0.641964\pi\)
\(32\) −64.8972 168.986i −0.358510 0.933526i
\(33\) −188.965 268.399i −0.996805 1.41583i
\(34\) −5.16292 + 164.446i −0.0260422 + 0.829477i
\(35\) −70.9438 + 122.878i −0.342620 + 0.593435i
\(36\) 180.530 + 118.595i 0.835789 + 0.549051i
\(37\) 101.361 + 175.562i 0.450367 + 0.780058i 0.998409 0.0563927i \(-0.0179599\pi\)
−0.548042 + 0.836451i \(0.684627\pi\)
\(38\) 132.881 71.2556i 0.567269 0.304189i
\(39\) 249.604 + 173.820i 1.02484 + 0.713679i
\(40\) −147.104 + 309.874i −0.581481 + 1.22488i
\(41\) 197.308 + 235.142i 0.751567 + 0.895683i 0.997283 0.0736588i \(-0.0234676\pi\)
−0.245716 + 0.969342i \(0.579023\pi\)
\(42\) −122.944 61.7028i −0.451684 0.226689i
\(43\) 182.426 + 501.213i 0.646972 + 1.77754i 0.628626 + 0.777708i \(0.283618\pi\)
0.0183458 + 0.999832i \(0.494160\pi\)
\(44\) 365.995 + 348.490i 1.25399 + 1.19402i
\(45\) −73.1462 402.715i −0.242311 1.33407i
\(46\) 36.6746 + 14.6675i 0.117552 + 0.0470131i
\(47\) −39.9568 + 226.606i −0.124006 + 0.703274i 0.857887 + 0.513839i \(0.171777\pi\)
−0.981893 + 0.189436i \(0.939334\pi\)
\(48\) −308.239 124.823i −0.926884 0.375347i
\(49\) −239.993 87.3505i −0.699689 0.254666i
\(50\) 281.607 92.5972i 0.796505 0.261904i
\(51\) 214.275 + 213.177i 0.588324 + 0.585308i
\(52\) −429.136 187.454i −1.14443 0.499907i
\(53\) 462.816i 1.19948i 0.800194 + 0.599742i \(0.204730\pi\)
−0.800194 + 0.599742i \(0.795270\pi\)
\(54\) 385.620 93.6018i 0.971782 0.235881i
\(55\) 957.635i 2.34777i
\(56\) 204.187 + 56.2225i 0.487244 + 0.134162i
\(57\) 71.0054 267.747i 0.164998 0.622174i
\(58\) −16.8357 51.2009i −0.0381144 0.115914i
\(59\) −56.3577 20.5125i −0.124358 0.0452628i 0.279091 0.960265i \(-0.409967\pi\)
−0.403450 + 0.915002i \(0.632189\pi\)
\(60\) 231.475 + 586.111i 0.498056 + 1.26111i
\(61\) −45.0700 + 255.605i −0.0946004 + 0.536505i 0.900269 + 0.435335i \(0.143370\pi\)
−0.994869 + 0.101171i \(0.967741\pi\)
\(62\) 210.820 527.134i 0.431841 1.07977i
\(63\) −237.024 + 87.6524i −0.474004 + 0.175288i
\(64\) 502.949 + 95.8476i 0.982321 + 0.187202i
\(65\) 303.500 + 833.860i 0.579148 + 1.59119i
\(66\) 926.835 54.2366i 1.72857 0.101153i
\(67\) 160.196 + 190.914i 0.292105 + 0.348118i 0.892060 0.451916i \(-0.149259\pi\)
−0.599955 + 0.800034i \(0.704815\pi\)
\(68\) −387.617 257.498i −0.691257 0.459210i
\(69\) 65.6863 30.8359i 0.114604 0.0538000i
\(70\) −189.654 353.678i −0.323829 0.603894i
\(71\) −533.420 923.911i −0.891625 1.54434i −0.837927 0.545782i \(-0.816233\pi\)
−0.0536977 0.998557i \(1.48290\pi\)
\(72\) −554.151 + 257.226i −0.907046 + 0.421032i
\(73\) 228.650 396.034i 0.366596 0.634963i −0.622435 0.782671i \(-0.713857\pi\)
0.989031 + 0.147709i \(0.0471899\pi\)
\(74\) −573.100 17.9930i −0.900290 0.0282654i
\(75\) 228.886 494.161i 0.352394 0.760810i
\(76\) −26.7526 + 425.632i −0.0403780 + 0.642413i
\(77\) −582.280 + 102.672i −0.861779 + 0.151955i
\(78\) −789.853 + 340.966i −1.14658 + 0.494958i
\(79\) −441.698 + 526.395i −0.629049 + 0.749672i −0.982598 0.185744i \(-0.940530\pi\)
0.353549 + 0.935416i \(0.384975\pi\)
\(80\) −525.665 815.455i −0.734640 1.13963i
\(81\) 357.989 635.047i 0.491069 0.871121i
\(82\) −859.323 + 123.857i −1.15727 + 0.166801i
\(83\) 894.982 + 750.979i 1.18358 + 0.993141i 0.999949 + 0.0101457i \(0.00322953\pi\)
0.183631 + 0.982995i \(0.441215\pi\)
\(84\) 331.562 203.586i 0.430671 0.264440i
\(85\) 153.124 + 868.411i 0.195396 + 1.10815i
\(86\) −1476.75 308.463i −1.85166 0.386772i
\(87\) −89.8467 41.6154i −0.110719 0.0512832i
\(88\) −1383.21 + 360.433i −1.67557 + 0.436617i
\(89\) −114.202 65.9345i −0.136016 0.0785286i 0.430448 0.902615i \(-0.358356\pi\)
−0.566464 + 0.824087i \(0.691689\pi\)
\(90\) 1077.10 + 424.363i 1.26152 + 0.497020i
\(91\) 474.481 273.942i 0.546584 0.315570i
\(92\) −89.9185 + 66.3020i −0.101898 + 0.0751355i
\(93\) −443.212 944.127i −0.494182 1.05270i
\(94\) −485.189 433.782i −0.532376 0.475970i
\(95\) 619.066 519.458i 0.668577 0.561003i
\(96\) 759.457 554.943i 0.807414 0.589986i
\(97\) 1017.66 370.397i 1.06523 0.387713i 0.250840 0.968029i \(-0.419293\pi\)
0.814391 + 0.580316i \(0.197071\pi\)
\(98\) 567.664 446.736i 0.585130 0.460481i
\(99\) 1089.62 1312.20i 1.10617 1.33213i
\(100\) −197.108 + 814.962i −0.197108 + 0.814962i
\(101\) −1228.25 216.574i −1.21006 0.213366i −0.468017 0.883720i \(-0.655031\pi\)
−0.742042 + 0.670354i \(0.766142\pi\)
\(102\) −831.808 + 197.383i −0.807464 + 0.191606i
\(103\) 66.2059 181.899i 0.0633346 0.174010i −0.903989 0.427556i \(-0.859375\pi\)
0.967323 + 0.253546i \(0.0815969\pi\)
\(104\) 1090.20 752.223i 1.02791 0.709246i
\(105\) −712.636 188.988i −0.662345 0.175651i
\(106\) −1112.56 689.773i −1.01945 0.632044i
\(107\) −583.699 −0.527367 −0.263684 0.964609i \(-0.584937\pi\)
−0.263684 + 0.964609i \(0.584937\pi\)
\(108\) −349.711 + 1066.50i −0.311583 + 0.950219i
\(109\) 1619.82 1.42340 0.711700 0.702484i \(-0.247926\pi\)
0.711700 + 0.702484i \(0.247926\pi\)
\(110\) 2302.06 + 1427.24i 1.99539 + 1.23711i
\(111\) −742.928 + 746.757i −0.635276 + 0.638550i
\(112\) −439.471 + 407.054i −0.370769 + 0.343419i
\(113\) 234.896 645.371i 0.195550 0.537269i −0.802702 0.596381i \(-0.796605\pi\)
0.998251 + 0.0591123i \(0.0188270\pi\)
\(114\) 537.813 + 569.735i 0.441849 + 0.468075i
\(115\) 208.484 + 36.7614i 0.169054 + 0.0298089i
\(116\) 148.174 + 35.8375i 0.118600 + 0.0286847i
\(117\) −532.914 + 1487.93i −0.421093 + 1.17572i
\(118\) 133.305 104.907i 0.103997 0.0818430i
\(119\) 511.611 186.211i 0.394112 0.143445i
\(120\) −1753.94 317.085i −1.33427 0.241215i
\(121\) 2037.36 1709.54i 1.53070 1.28441i
\(122\) −547.278 489.293i −0.406133 0.363103i
\(123\) −911.487 + 1308.89i −0.668179 + 0.959499i
\(124\) 952.977 + 1292.42i 0.690160 + 0.935991i
\(125\) −265.097 + 153.054i −0.189688 + 0.109516i
\(126\) 142.549 700.420i 0.100788 0.495225i
\(127\) −106.459 61.4642i −0.0743836 0.0429454i 0.462347 0.886699i \(-0.347007\pi\)
−0.536730 + 0.843754i \(0.680341\pi\)
\(128\) −979.994 + 1066.19i −0.676719 + 0.736241i
\(129\) −2266.20 + 1595.51i −1.54673 + 1.08897i
\(130\) −2456.85 513.185i −1.65754 0.346226i
\(131\) −259.434 1471.32i −0.173029 0.981299i −0.940394 0.340087i \(-0.889543\pi\)
0.767364 0.641211i \(1.77843\pi\)
\(132\) −1250.96 + 2308.86i −0.824864 + 1.52243i
\(133\) −382.224 320.724i −0.249195 0.209100i
\(134\) −697.693 + 100.561i −0.449787 + 0.0648293i
\(135\) 1920.55 913.664i 1.22441 0.582487i
\(136\) 1196.70 548.024i 0.754531 0.345534i
\(137\) −576.908 + 687.532i −0.359770 + 0.428758i −0.915321 0.402725i \(-0.868063\pi\)
0.555551 + 0.831483i \(0.312508\pi\)
\(138\) −23.7713 + 203.861i −0.0146634 + 0.125752i
\(139\) 935.951 165.033i 0.571125 0.100705i 0.119375 0.992849i \(-0.461911\pi\)
0.451750 + 0.892145i \(0.350800\pi\)
\(140\) 1132.87 + 71.2048i 0.683890 + 0.0429850i
\(141\) −1190.82 + 107.269i −0.711244 + 0.0640684i
\(142\) 3016.00 + 94.6898i 1.78237 + 0.0559591i
\(143\) −1848.90 + 3202.39i −1.08121 + 1.87271i
\(144\) 207.551 1715.49i 0.120110 0.992761i
\(145\) −144.437 250.172i −0.0827229 0.143280i
\(146\) 611.251 + 1139.90i 0.346490 + 0.646154i
\(147\) 112.264 1322.32i 0.0629887 0.741925i
\(148\) 897.391 1350.86i 0.498413 0.750270i
\(149\) 1952.86 + 2327.33i 1.07372 + 1.27961i 0.958136 + 0.286314i \(0.0924301\pi\)
0.115586 + 0.993297i \(0.463125\pi\)
\(150\) 846.787 + 1286.71i 0.460933 + 0.700396i
\(151\) 825.091 + 2266.92i 0.444668 + 1.22172i 0.936389 + 0.350963i \(0.114146\pi\)
−0.491721 + 0.870753i \(0.663632\pi\)
\(152\) −983.308 698.666i −0.524716 0.372824i
\(153\) −778.279 + 1364.17i −0.411243 + 0.720826i
\(154\) 621.008 1552.77i 0.324949 0.812503i
\(155\) 528.381 2996.60i 0.273810 1.55286i
\(156\) 357.534 2406.90i 0.183498 1.23530i
\(157\) 658.007 + 239.495i 0.334488 + 0.121744i 0.503804 0.863818i \(-0.331933\pi\)
−0.169316 + 0.985562i \(0.554156\pi\)
\(158\) −607.105 1846.33i −0.305688 0.929659i
\(159\) −2321.31 + 628.393i −1.15781 + 0.313426i
\(160\) 2743.72 48.3086i 1.35569 0.0238696i
\(161\) 130.708i 0.0639829i
\(162\) 993.051 + 1807.04i 0.481614 + 0.876383i
\(163\) 458.126i 0.220142i −0.993924 0.110071i \(-0.964892\pi\)
0.993924 0.110071i \(-0.0351079\pi\)
\(164\) 982.980 2250.32i 0.468035 1.07147i
\(165\) 4803.14 1300.24i 2.26620 0.613476i
\(166\) −3139.15 + 1032.21i −1.46774 + 0.482619i
\(167\) 1839.74 + 669.612i 0.852477 + 0.310276i 0.731050 0.682324i \(-0.239031\pi\)
0.121427 + 0.992600i \(0.461253\pi\)
\(168\) −4.75367 + 1100.46i −0.00218306 + 0.505372i
\(169\) 213.501 1210.82i 0.0971784 0.551126i
\(170\) −2315.79 926.169i −1.04478 0.417846i
\(171\) 1439.33 7.39973i 0.643672 0.00330919i
\(172\) 2942.44 3090.25i 1.30441 1.36994i
\(173\) −205.598 564.876i −0.0903546 0.248247i 0.886282 0.463147i \(-0.153280\pi\)
−0.976636 + 0.214900i \(0.931058\pi\)
\(174\) 233.945 153.960i 0.101927 0.0670787i
\(175\) −630.554 751.465i −0.272374 0.324602i
\(176\) 1195.06 3862.28i 0.511825 1.65415i
\(177\) 26.3629 310.520i 0.0111952 0.131865i
\(178\) 328.705 176.263i 0.138413 0.0742217i
\(179\) 2322.51 + 4022.71i 0.969792 + 1.67973i 0.696149 + 0.717897i \(0.254895\pi\)
0.273643 + 0.961831i \(0.411771\pi\)
\(180\) −2625.43 + 1956.79i −1.08715 + 0.810282i
\(181\) −214.860 + 372.149i −0.0882345 + 0.152827i −0.906765 0.421637i \(-0.861456\pi\)
0.818530 + 0.574463i \(0.194789\pi\)
\(182\) −48.6286 + 1548.89i −0.0198054 + 0.630830i
\(183\) −1343.21 + 120.996i −0.542585 + 0.0488758i
\(184\) −25.3708 314.971i −0.0101650 0.126195i
\(185\) −3026.44 + 533.644i −1.20275 + 0.212077i
\(186\) 2930.15 + 341.672i 1.15510 + 0.134691i
\(187\) −2361.99 + 2814.90i −0.923666 + 1.10078i
\(188\) 1765.89 519.846i 0.685056 0.201668i
\(189\) −761.454 1069.81i −0.293056 0.411733i
\(190\) 326.082 + 2262.37i 0.124508 + 0.863839i
\(191\) −2871.87 2409.79i −1.08796 0.912911i −0.0914072 0.995814i \(-0.529136\pi\)
−0.996558 + 0.0829027i \(0.973581\pi\)
\(192\) 202.148 + 2652.74i 0.0759833 + 0.997109i
\(193\) −104.384 591.990i −0.0389311 0.220789i 0.959135 0.282948i \(-0.0913125\pi\)
−0.998066 + 0.0621590i \(0.980201\pi\)
\(194\) −626.300 + 2998.39i −0.231782 + 1.10965i
\(195\) −3770.25 + 2654.43i −1.38458 + 0.974807i
\(196\) 227.873 + 2030.42i 0.0830440 + 0.739949i
\(197\) −3634.87 2098.59i −1.31459 0.758977i −0.331735 0.943373i \(-0.607634\pi\)
−0.982852 + 0.184395i \(0.940967\pi\)
\(198\) 1530.45 + 4575.02i 0.549315 + 1.64208i
\(199\) −1837.33 + 1060.79i −0.654498 + 0.377875i −0.790177 0.612878i \(-0.790012\pi\)
0.135679 + 0.990753i \(0.456678\pi\)
\(200\) −1665.32 1688.43i −0.588781 0.596951i
\(201\) −740.046 + 1062.70i −0.259696 + 0.372920i
\(202\) 2351.19 2629.83i 0.818958 0.916010i
\(203\) −136.629 + 114.645i −0.0472388 + 0.0396380i
\(204\) 765.224 2293.76i 0.262629 0.787233i
\(205\) −4372.64 + 1591.51i −1.48975 + 0.542224i
\(206\) 338.596 + 430.252i 0.114520 + 0.145520i
\(207\) 243.847 + 287.590i 0.0818771 + 0.0965648i
\(208\) 183.462 + 3741.83i 0.0611576 + 1.24735i
\(209\) 3316.43 + 584.775i 1.09762 + 0.193540i
\(210\) 1516.41 1431.44i 0.498297 0.470377i
\(211\) 1727.44 4746.10i 0.563610 1.54851i −0.250693 0.968067i \(-0.580659\pi\)
0.814303 0.580439i \(-0.197119\pi\)
\(212\) 3316.30 1646.47i 1.07436 0.533398i
\(213\) 3909.73 3929.89i 1.25770 1.26419i
\(214\) 869.935 1403.16i 0.277886 0.448214i
\(215\) −8085.71 −2.56484
\(216\) −2042.55 2430.16i −0.643417 0.765516i
\(217\) −1878.70 −0.587717
\(218\) −2414.15 + 3893.89i −0.750032 + 1.20976i
\(219\) 2296.81 + 609.105i 0.708694 + 0.187943i
\(220\) −6861.91 + 3406.80i −2.10286 + 1.04403i
\(221\) 1164.58 3199.65i 0.354471 0.973901i
\(222\) −687.886 2898.88i −0.207963 0.876397i
\(223\) 1109.23 + 195.586i 0.333091 + 0.0587329i 0.337692 0.941257i \(-0.390354\pi\)
−0.00460170 + 0.999989i \(0.501465\pi\)
\(224\) −323.538 1663.11i −0.0965058 0.496077i
\(225\) 2789.30 + 477.056i 0.826459 + 0.141350i
\(226\) 1201.32 + 1526.52i 0.353588 + 0.449302i
\(227\) 2880.72 1048.50i 0.842292 0.306569i 0.115398 0.993319i \(-0.463186\pi\)
0.726894 + 0.686750i \(0.240963\pi\)
\(228\) −2171.14 + 443.726i −0.630645 + 0.128888i
\(229\) −2205.73 + 1850.83i −0.636502 + 0.534088i −0.902942 0.429763i \(-0.858597\pi\)
0.266440 + 0.963852i \(0.414153\pi\)
\(230\) −399.092 + 446.388i −0.114415 + 0.127974i
\(231\) −1305.56 2781.10i −0.371859 0.792133i
\(232\) −306.985 + 302.784i −0.0868732 + 0.0856842i
\(233\) 3129.05 1806.56i 0.879791 0.507947i 0.00920121 0.999958i \(-0.497071\pi\)
0.870589 + 0.492010i \(0.163738\pi\)
\(234\) −2782.59 3498.65i −0.777365 0.977411i
\(235\) −3020.87 1744.10i −0.838554 0.484139i
\(236\) 53.5114 + 476.803i 0.0147597 + 0.131514i
\(237\) −3239.92 1500.67i −0.887998 0.411304i
\(238\) −314.863 + 1507.39i −0.0857543 + 0.410545i
\(239\) 461.133 + 2615.21i 0.124804 + 0.707799i 0.981424 + 0.191851i \(0.0614491\pi\)
−0.856620 + 0.515948i \(0.827440\pi\)
\(240\) 3376.29 3743.73i 0.908077 1.00690i
\(241\) 4453.69 + 3737.09i 1.19040 + 0.998867i 0.999852 + 0.0171902i \(0.00547209\pi\)
0.190552 + 0.981677i \(0.438972\pi\)
\(242\) 1073.14 + 7445.49i 0.285059 + 1.97774i
\(243\) 3671.22 + 933.299i 0.969172 + 0.246383i
\(244\) 1991.87 586.370i 0.522608 0.153846i
\(245\) 2488.65 2965.85i 0.648954 0.773393i
\(246\) −1787.97 4141.87i −0.463403 1.07348i
\(247\) −3073.11 + 541.872i −0.791649 + 0.139589i
\(248\) −4527.16 + 364.662i −1.15917 + 0.0933712i
\(249\) −2551.46 + 5508.55i −0.649366 + 1.40197i
\(250\) 27.1692 865.377i 0.00687334 0.218925i
\(251\) 995.020 1723.43i 0.250220 0.433393i −0.713367 0.700791i \(-0.752831\pi\)
0.963586 + 0.267398i \(0.0861639\pi\)
\(252\) 1471.29 + 1386.57i 0.367788 + 0.346609i
\(253\) 441.091 + 763.991i 0.109609 + 0.189849i
\(254\) 306.419 164.312i 0.0756946 0.0405900i
\(255\) −4147.72 + 1947.11i −1.01859 + 0.478167i
\(256\) −1102.45 3944.85i −0.269154 0.963097i
\(257\) −1012.27 1206.37i −0.245694 0.292807i 0.629077 0.777343i \(-0.283433\pi\)
−0.874771 + 0.484536i \(0.838988\pi\)
\(258\) −457.942 7825.66i −0.110505 1.88839i
\(259\) 648.953 + 1782.98i 0.155691 + 0.427758i
\(260\) 4895.30 5141.20i 1.16767 1.22632i
\(261\) 86.7368 507.141i 0.0205704 0.120273i
\(262\) 3923.58 + 1569.18i 0.925189 + 0.370017i
\(263\) 598.071 3391.83i 0.140223 0.795245i −0.830856 0.556487i \(-0.812149\pi\)
0.971079 0.238757i \(-0.0767401\pi\)
\(264\) −3685.86 6448.27i −0.859277 1.50327i
\(265\) −6592.89 2399.62i −1.52829 0.556254i
\(266\) 1340.65 440.828i 0.309024 0.101612i
\(267\) 175.644 662.318i 0.0402593 0.151810i
\(268\) 798.091 1827.06i 0.181907 0.416439i
\(269\) 3253.42i 0.737415i 0.929546 + 0.368707i \(0.120200\pi\)
−0.929546 + 0.368707i \(0.879800\pi\)
\(270\) −665.995 + 5978.53i −0.150116 + 1.34756i
\(271\) 3801.58i 0.852140i −0.904690 0.426070i \(-0.859898\pi\)
0.904690 0.426070i \(-0.140102\pi\)
\(272\) −466.144 + 3693.52i −0.103912 + 0.823355i
\(273\) 2018.22 + 2007.87i 0.447429 + 0.445135i
\(274\) −792.948 2411.52i −0.174831 0.531697i
\(275\) 6221.51 + 2264.44i 1.36426 + 0.496550i
\(276\) −454.634 360.975i −0.0991512 0.0787251i
\(277\) 391.994 2223.11i 0.0850275 0.482215i −0.912323 0.409471i \(-0.865713\pi\)
0.997351 0.0727439i \(-0.0231756\pi\)
\(278\) −998.201 + 2495.90i −0.215353 + 0.538468i
\(279\) 4133.61 3504.88i 0.887000 0.752086i
\(280\) −1859.57 + 2617.18i −0.396896 + 0.558594i
\(281\) −300.745 826.291i −0.0638469 0.175418i 0.903667 0.428236i \(-0.140865\pi\)
−0.967514 + 0.252818i \(0.918643\pi\)
\(282\) 1516.92 3022.50i 0.320323 0.638252i
\(283\) 3721.04 + 4434.56i 0.781599 + 0.931474i 0.999005 0.0446077i \(-0.0142038\pi\)
−0.217405 + 0.976081i \(0.569759\pi\)
\(284\) −4722.61 + 7109.04i −0.986745 + 1.48537i
\(285\) 3445.95 + 2399.70i 0.716212 + 0.498758i
\(286\) −4942.67 9217.37i −1.02191 1.90571i
\(287\) 1436.51 + 2488.11i 0.295451 + 0.511737i
\(288\) 3814.54 + 3055.67i 0.780466 + 0.625198i
\(289\) −764.682 + 1324.47i −0.155645 + 0.269585i
\(290\) 816.656 + 25.6396i 0.165364 + 0.00519176i
\(291\) 3239.51 + 4601.28i 0.652589 + 0.926913i
\(292\) −3651.20 229.491i −0.731748 0.0459930i
\(293\) 2307.70 406.910i 0.460127 0.0811328i 0.0612203 0.998124i \(-0.480501\pi\)
0.398907 + 0.916991i \(0.369390\pi\)
\(294\) 3011.41 + 2240.63i 0.597378 + 0.444477i
\(295\) 584.409 696.471i 0.115341 0.137458i
\(296\) 1909.88 + 4170.54i 0.375033 + 0.818945i
\(297\) 8060.93 + 3683.47i 1.57489 + 0.719651i
\(298\) −8505.18 + 1225.88i −1.65333 + 0.238300i
\(299\) −626.209 525.452i −0.121119 0.101631i
\(300\) −4355.17 + 117.905i −0.838152 + 0.0226909i
\(301\) 866.900 + 4916.43i 0.166004 + 0.941457i
\(302\) −6679.16 1395.14i −1.27266 0.265831i
\(303\) −581.420 6454.52i −0.110237 1.22377i
\(304\) 3145.03 1322.50i 0.593355 0.249508i
\(305\) −3407.45 1967.29i −0.639706 0.369334i
\(306\) −2119.39 3904.04i −0.395940 0.729343i
\(307\) 4021.66 2321.91i 0.747649 0.431656i −0.0771946 0.997016i \(-0.524596\pi\)
0.824844 + 0.565361i \(0.191263\pi\)
\(308\) 2807.16 + 3807.06i 0.519328 + 0.704310i
\(309\) 1002.23 + 85.0884i 0.184514 + 0.0156651i
\(310\) 6416.05 + 5736.26i 1.17551 + 1.05096i
\(311\) 6326.75 5308.77i 1.15356 0.967951i 0.153763 0.988108i \(-0.450861\pi\)
0.999797 + 0.0201566i \(0.00641649\pi\)
\(312\) 5253.10 + 4446.68i 0.953199 + 0.806871i
\(313\) −8933.85 + 3251.65i −1.61333 + 0.587202i −0.982094 0.188392i \(-0.939672\pi\)
−0.631232 + 0.775594i \(0.717450\pi\)
\(314\) −1556.40 + 1224.85i −0.279723 + 0.220134i
\(315\) −19.6952 3830.92i −0.00352285 0.685231i
\(316\) 5343.22 + 1292.32i 0.951201 + 0.230059i
\(317\) 1415.18 + 249.535i 0.250740 + 0.0442122i 0.297605 0.954689i \(-0.403812\pi\)
−0.0468655 + 0.998901i \(0.514923\pi\)
\(318\) 1949.04 6516.75i 0.343701 1.14919i
\(319\) 411.714 1131.17i 0.0722619 0.198538i
\(320\) −3973.06 + 6667.64i −0.694066 + 1.16479i
\(321\) −792.523 2927.61i −0.137802 0.509045i
\(322\) 314.210 + 194.805i 0.0543796 + 0.0337145i
\(323\) −3100.94 −0.534182
\(324\) −5823.97 305.975i −0.998623 0.0524649i
\(325\) −6135.04 −1.04711
\(326\) 1101.29 + 682.784i 0.187101 + 0.116000i
\(327\) 2199.33 + 8124.40i 0.371936 + 1.37395i
\(328\) 3944.55 + 5716.83i 0.664028 + 0.962376i
\(329\) −736.605 + 2023.80i −0.123436 + 0.339137i
\(330\) −4032.86 + 13484.1i −0.672733 + 2.24933i
\(331\) 976.067 + 172.107i 0.162083 + 0.0285796i 0.254101 0.967178i \(-0.418221\pi\)
−0.0920177 + 0.995757i \(0.529332\pi\)
\(332\) 2197.21 9084.60i 0.363216 1.50175i
\(333\) −4754.17 2712.33i −0.782363 0.446351i
\(334\) −4351.61 + 3424.59i −0.712903 + 0.561034i
\(335\) −3550.19 + 1292.16i −0.579008 + 0.210742i
\(336\) −2638.32 1651.54i −0.428370 0.268151i
\(337\) 2064.80 1732.58i 0.333760 0.280058i −0.460470 0.887675i \(-0.652319\pi\)
0.794230 + 0.607618i \(0.207875\pi\)
\(338\) 2592.51 + 2317.83i 0.417201 + 0.372998i
\(339\) 3555.87 + 301.890i 0.569700 + 0.0483670i
\(340\) 5677.84 4186.59i 0.905659 0.667794i
\(341\) 10981.1 6339.91i 1.74386 1.00682i
\(342\) −2127.36 + 3471.03i −0.336358 + 0.548806i
\(343\) −4850.45 2800.41i −0.763555 0.440839i
\(344\) 3043.29 + 11679.0i 0.476986 + 1.83049i
\(345\) 98.6903 + 1095.59i 0.0154009 + 0.170970i
\(346\) 1664.33 + 347.644i 0.258598 + 0.0540157i
\(347\) 968.098 + 5490.36i 0.149770 + 0.849389i 0.963413 + 0.268023i \(0.0863703\pi\)
−0.813642 + 0.581366i \(0.802519\pi\)
\(348\) 21.4371 + 791.842i 0.00330216 + 0.121975i
\(349\) −3668.78 3078.47i −0.562709 0.472169i 0.316508 0.948590i \(-0.397489\pi\)
−0.879217 + 0.476421i \(0.841934\pi\)
\(350\) 2746.22 395.821i 0.419404 0.0604501i
\(351\) −8186.45 652.649i −1.24490 0.0992474i
\(352\) 7503.46 + 8629.10i 1.13618 + 1.30663i
\(353\) −396.883 + 472.987i −0.0598412 + 0.0713160i −0.795135 0.606433i \(-0.792600\pi\)
0.735293 + 0.677749i \(0.237044\pi\)
\(354\) 707.170 + 526.168i 0.106174 + 0.0789986i
\(355\) 15927.0 2808.35i 2.38117 0.419865i
\(356\) −66.1771 + 1052.87i −0.00985218 + 0.156748i
\(357\) 1628.61 + 2313.22i 0.241443 + 0.342937i
\(358\) −13131.6 412.279i −1.93863 0.0608649i
\(359\) −1335.22 + 2312.67i −0.196296 + 0.339994i −0.947324 0.320275i \(-0.896225\pi\)
0.751029 + 0.660269i \(0.229558\pi\)
\(360\) −791.053 9227.64i −0.115811 1.35094i
\(361\) −2008.57 3478.95i −0.292838 0.507209i
\(362\) −574.386 1071.15i −0.0833952 0.155520i
\(363\) 11340.7 + 7897.46i 1.63976 + 1.14190i
\(364\) −3650.90 2425.33i −0.525712 0.349236i
\(365\) 4456.06 + 5310.53i 0.639016 + 0.761550i
\(366\) 1711.04 3409.28i 0.244364 0.486902i
\(367\) −269.268 739.808i −0.0382988 0.105225i 0.919069 0.394096i \(-0.128942\pi\)
−0.957368 + 0.288871i \(0.906720\pi\)
\(368\) 794.972 + 408.438i 0.112611 + 0.0578568i
\(369\) −7802.47 2794.52i −1.10076 0.394247i
\(370\) 3227.73 8070.61i 0.453518 1.13398i
\(371\) −752.213 + 4266.01i −0.105264 + 0.596982i
\(372\) −5188.39 + 6534.57i −0.723133 + 0.910758i
\(373\) −1529.41 556.660i −0.212305 0.0772728i 0.233678 0.972314i \(-0.424924\pi\)
−0.445984 + 0.895041i \(0.647146\pi\)
\(374\) −3246.50 9873.27i −0.448857 1.36507i
\(375\) −1127.60 1121.82i −0.155277 0.154481i
\(376\) −1382.19 + 5019.80i −0.189577 + 0.688500i
\(377\) 1115.45i 0.152384i
\(378\) 3706.59 236.030i 0.504356 0.0321165i
\(379\) 4570.49i 0.619447i −0.950827 0.309724i \(-0.899763\pi\)
0.950827 0.309724i \(-0.100237\pi\)
\(380\) −5924.50 2587.92i −0.799791 0.349362i
\(381\) 163.735 617.412i 0.0220168 0.0830210i
\(382\) 10073.1 3312.20i 1.34917 0.443631i
\(383\) 7161.59 + 2606.61i 0.955457 + 0.347758i 0.772252 0.635317i \(-0.219130\pi\)
0.183205 + 0.983075i \(0.441353\pi\)
\(384\) −6678.21 3467.65i −0.887490 0.460828i
\(385\) 1556.44 8827.02i 0.206035 1.16848i
\(386\) 1578.66 + 631.363i 0.208165 + 0.0832526i
\(387\) −11079.4 9200.10i −1.45530 1.20844i
\(388\) −6274.41 5974.31i −0.820966 0.781700i
\(389\) −1460.10 4011.58i −0.190308 0.522867i 0.807439 0.589951i \(-0.200853\pi\)
−0.997747 + 0.0670836i \(0.978631\pi\)
\(390\) −761.873 13019.4i −0.0989203 1.69042i
\(391\) −522.154 622.279i −0.0675358 0.0804860i
\(392\) −5220.55 2478.32i −0.672647 0.319321i
\(393\) 7027.36 3298.93i 0.901993 0.423432i
\(394\) 10462.2 5610.17i 1.33776 0.717351i
\(395\) −5208.47 9021.33i −0.663459 1.14915i
\(396\) −13278.9 3139.47i −1.68507 0.398395i
\(397\) 396.638 686.998i 0.0501428 0.0868499i −0.839865 0.542796i \(-0.817366\pi\)
0.890007 + 0.455946i \(0.150699\pi\)
\(398\) 188.305 5997.75i 0.0237157 0.755377i
\(399\) 1089.66 2352.56i 0.136720 0.295176i
\(400\) 6540.80 1486.87i 0.817600 0.185859i
\(401\) 3089.21 544.711i 0.384708 0.0678344i 0.0220504 0.999757i \(-0.492981\pi\)
0.362658 + 0.931922i \(0.381869\pi\)
\(402\) −1451.67 3362.83i −0.180107 0.417221i
\(403\) −7552.46 + 9000.67i −0.933535 + 1.11254i
\(404\) 2817.68 + 9571.50i 0.346992 + 1.17871i
\(405\) 7190.24 + 8392.23i 0.882188 + 1.02966i
\(406\) −71.9669 499.308i −0.00879718 0.0610351i
\(407\) −9810.04 8231.60i −1.19476 1.00252i
\(408\) 4373.51 + 5258.11i 0.530689 + 0.638028i
\(409\) 1647.08 + 9341.04i 0.199127 + 1.12930i 0.906418 + 0.422381i \(0.138806\pi\)
−0.707292 + 0.706922i \(0.750083\pi\)
\(410\) 2691.07 12883.4i 0.324152 1.55187i
\(411\) −4231.70 1960.05i −0.507870 0.235236i
\(412\) −1538.92 + 172.713i −0.184023 + 0.0206528i
\(413\) −486.139 280.673i −0.0579209 0.0334407i
\(414\) −1054.77 + 157.566i −0.125215 + 0.0187052i
\(415\) −15338.2 + 8855.49i −1.81427 + 1.04747i
\(416\) −9268.43 5135.74i −1.09236 0.605289i
\(417\) 2098.54 + 4470.30i 0.246441 + 0.524968i
\(418\) −6348.49 + 7100.83i −0.742858 + 0.830893i
\(419\) −5196.25 + 4360.17i −0.605856 + 0.508373i −0.893322 0.449417i \(-0.851632\pi\)
0.287466 + 0.957791i \(0.407187\pi\)
\(420\) 1181.02 + 5778.71i 0.137210 + 0.671362i
\(421\) −418.761 + 152.417i −0.0484779 + 0.0176445i −0.366145 0.930558i \(-0.619323\pi\)
0.317667 + 0.948202i \(0.397100\pi\)
\(422\) 8834.62 + 11226.1i 1.01911 + 1.29497i
\(423\) −2154.87 5827.07i −0.247691 0.669792i
\(424\) −984.583 + 10425.9i −0.112773 + 1.19417i
\(425\) −6003.92 1058.65i −0.685254 0.120829i
\(426\) 3620.07 + 15255.7i 0.411721 + 1.73507i
\(427\) −830.868 + 2282.79i −0.0941651 + 0.258717i
\(428\) 2076.52 + 4182.48i 0.234515 + 0.472355i
\(429\) −18572.3 4925.31i −2.09017 0.554304i
\(430\) 12050.8 19437.3i 1.35149 2.17988i
\(431\) 8404.19 0.939247 0.469624 0.882867i \(-0.344390\pi\)
0.469624 + 0.882867i \(0.344390\pi\)
\(432\) 8886.06 1288.23i 0.989654 0.143472i
\(433\) 10685.9 1.18599 0.592993 0.805208i \(-0.297946\pi\)
0.592993 + 0.805208i \(0.297946\pi\)
\(434\) 2799.99 4516.22i 0.309686 0.499506i
\(435\) 1058.66 1064.11i 0.116687 0.117288i
\(436\) −5762.53 11606.8i −0.632971 1.27492i
\(437\) −254.620 + 699.562i −0.0278721 + 0.0765781i
\(438\) −4887.36 + 4613.51i −0.533166 + 0.503293i
\(439\) −2048.91 361.277i −0.222754 0.0392775i 0.0611572 0.998128i \(-0.480521\pi\)
−0.283911 + 0.958851i \(0.591632\pi\)
\(440\) 2037.25 21572.8i 0.220732 2.33737i
\(441\) 6784.68 1232.32i 0.732607 0.133066i
\(442\) 5956.00 + 7568.25i 0.640945 + 0.814445i
\(443\) 490.463 178.514i 0.0526018 0.0191455i −0.315585 0.948897i \(-0.602201\pi\)
0.368187 + 0.929752i \(0.379979\pi\)
\(444\) 7993.85 + 2666.83i 0.854440 + 0.285050i
\(445\) 1531.37 1284.97i 0.163132 0.136884i
\(446\) −2123.34 + 2374.97i −0.225433 + 0.252149i
\(447\) −9021.49 + 12954.8i −0.954590 + 1.37078i
\(448\) 4480.16 + 1700.92i 0.472472 + 0.179377i
\(449\) −7005.08 + 4044.38i −0.736281 + 0.425092i −0.820715 0.571337i \(-0.806425\pi\)
0.0844347 + 0.996429i \(0.473092\pi\)
\(450\) −5303.92 + 5994.21i −0.555620 + 0.627933i
\(451\) −16792.9 9695.36i −1.75331 1.01228i
\(452\) −5460.03 + 612.777i −0.568182 + 0.0637668i
\(453\) −10249.7 + 7216.28i −1.06308 + 0.748455i
\(454\) −1772.89 + 8487.65i −0.183273 + 0.877412i
\(455\) 1442.25 + 8179.40i 0.148602 + 0.842761i
\(456\) 2169.15 5880.53i 0.222763 0.603905i
\(457\) 10880.4 + 9129.76i 1.11371 + 0.934513i 0.998270 0.0588017i \(-0.0187280\pi\)
0.115439 + 0.993315i \(0.463172\pi\)
\(458\) −1161.83 8060.81i −0.118534 0.822395i
\(459\) −7898.87 2051.34i −0.803241 0.208602i
\(460\) −478.273 1624.67i −0.0484774 0.164675i
\(461\) −5523.90 + 6583.13i −0.558078 + 0.665091i −0.969139 0.246517i \(-0.920714\pi\)
0.411061 + 0.911608i \(0.365158\pi\)
\(462\) 8631.27 + 1006.46i 0.869184 + 0.101352i
\(463\) 7384.89 1302.16i 0.741264 0.130705i 0.209751 0.977755i \(-0.432735\pi\)
0.531513 + 0.847050i \(0.321624\pi\)
\(464\) −270.338 1189.23i −0.0270477 0.118984i
\(465\) 15747.2 1418.50i 1.57045 0.141466i
\(466\) −320.690 + 10214.4i −0.0318792 + 1.01539i
\(467\) 1979.88 3429.26i 0.196184 0.339801i −0.751104 0.660184i \(-0.770478\pi\)
0.947288 + 0.320383i \(0.103812\pi\)
\(468\) 12557.5 1474.74i 1.24033 0.145662i
\(469\) 1166.32 + 2020.12i 0.114831 + 0.198892i
\(470\) 8694.92 4662.51i 0.853333 0.457587i
\(471\) −307.801 + 3625.49i −0.0301119 + 0.354679i
\(472\) −1225.94 581.983i −0.119552 0.0567541i
\(473\) −21658.2 25811.2i −2.10538 2.50909i
\(474\) 8436.20 5551.88i 0.817484 0.537988i
\(475\) 1910.93 + 5250.23i 0.184588 + 0.507152i
\(476\) −3154.36 3003.49i −0.303739 0.289212i
\(477\) −6303.56 10789.6i −0.605074 1.03569i
\(478\) −6973.99 2789.15i −0.667328 0.266889i
\(479\) 1901.74 10785.3i 0.181404 1.02880i −0.749084 0.662475i \(-0.769506\pi\)
0.930489 0.366321i \(-0.119383\pi\)
\(480\) 3967.61 + 13695.9i 0.377283 + 1.30235i
\(481\) 11150.9 + 4058.60i 1.05704 + 0.384732i
\(482\) −15621.3 + 5136.55i −1.47621 + 0.485401i
\(483\) 655.583 177.470i 0.0617599 0.0167188i
\(484\) −19497.6 8516.90i −1.83111 0.799859i
\(485\) 16417.2i 1.53704i
\(486\) −7715.09 + 7434.29i −0.720089 + 0.693881i
\(487\) 13593.2i 1.26482i 0.774633 + 0.632410i \(0.217934\pi\)
−0.774633 + 0.632410i \(0.782066\pi\)
\(488\) −1559.07 + 5662.18i −0.144622 + 0.525235i
\(489\) 2297.79 622.026i 0.212494 0.0575235i
\(490\) 3420.59 + 10402.7i 0.315360 + 0.959076i
\(491\) −16201.9 5897.01i −1.48917 0.542012i −0.535937 0.844258i \(-0.680042\pi\)
−0.953230 + 0.302246i \(0.902264\pi\)
\(492\) 12621.4 + 1874.86i 1.15654 + 0.171799i
\(493\) −192.481 + 1091.61i −0.0175840 + 0.0997238i
\(494\) 3277.50 8195.06i 0.298506 0.746383i
\(495\) 13043.0 + 22325.3i 1.18432 + 2.02717i
\(496\) 5870.59 11426.3i 0.531446 1.03439i
\(497\) −3415.18 9383.14i −0.308233 0.846864i
\(498\) −9439.37 14343.3i −0.849374 1.29064i
\(499\) 9571.89 + 11407.3i 0.858711 + 1.02337i 0.999445 + 0.0333245i \(0.0106095\pi\)
−0.140733 + 0.990048i \(0.544946\pi\)
\(500\) 2039.79 + 1355.06i 0.182444 + 0.121200i
\(501\) −860.591 + 10136.6i −0.0767433 + 0.903936i
\(502\) 2659.99 + 4960.50i 0.236496 + 0.441032i
\(503\) 2523.88 + 4371.49i 0.223726 + 0.387505i 0.955936 0.293574i \(-0.0948446\pi\)
−0.732210 + 0.681078i \(0.761511\pi\)
\(504\) −5525.96 + 1470.32i −0.488385 + 0.129947i
\(505\) 9453.42 16373.8i 0.833013 1.44282i
\(506\) −2493.96 78.2999i −0.219110 0.00687916i
\(507\) 6362.92 573.168i 0.557371 0.0502077i
\(508\) −61.6903 + 981.490i −0.00538792 + 0.0857216i
\(509\) −3003.06 + 529.520i −0.261509 + 0.0461112i −0.302865 0.953033i \(-0.597943\pi\)
0.0413561 + 0.999144i \(0.486832\pi\)
\(510\) 1501.02 12872.7i 0.130326 1.11767i
\(511\) 2751.26 3278.83i 0.238177 0.283849i
\(512\) 11126.1 + 3229.14i 0.960370 + 0.278729i
\(513\) 1991.37 + 7209.07i 0.171387 + 0.620445i
\(514\) 4408.66 635.435i 0.378322 0.0545288i
\(515\) 2247.92 + 1886.23i 0.192340 + 0.161393i
\(516\) 19494.6 + 10562.4i 1.66319 + 0.901129i
\(517\) −2524.11 14314.9i −0.214720 1.21774i
\(518\) −5253.31 1097.31i −0.445593 0.0930752i
\(519\) 2554.05 1798.17i 0.216013 0.152083i
\(520\) 5063.08 + 19430.2i 0.426982 + 1.63860i
\(521\) −17344.6 10013.9i −1.45850 0.842066i −0.459563 0.888145i \(-0.651994\pi\)
−0.998938 + 0.0460794i \(0.985327\pi\)
\(522\) 1089.85 + 964.342i 0.0913819 + 0.0808584i
\(523\) 15266.3 8813.97i 1.27638 0.736918i 0.300199 0.953877i \(-0.402947\pi\)
0.976181 + 0.216959i \(0.0696136\pi\)
\(524\) −9619.80 + 7093.23i −0.801990 + 0.591353i
\(525\) 2912.92 4182.93i 0.242153 0.347730i
\(526\) 7262.29 + 6492.84i 0.601998 + 0.538215i
\(527\) −8944.19 + 7505.07i −0.739307 + 0.620353i
\(528\) 20994.4 + 749.928i 1.73042 + 0.0618114i
\(529\) 11250.0 4094.66i 0.924631 0.336538i
\(530\) 15594.4 12272.3i 1.27807 1.00580i
\(531\) 1593.25 289.386i 0.130209 0.0236502i
\(532\) −938.372 + 3879.80i −0.0764729 + 0.316185i
\(533\) 17695.1 + 3120.12i 1.43801 + 0.253560i
\(534\) 1330.37 + 1409.34i 0.107810 + 0.114210i
\(535\) 3026.37 8314.89i 0.244564 0.671933i
\(536\) 3202.62 + 4641.56i 0.258082 + 0.374039i
\(537\) −17023.0 + 17110.7i −1.36796 + 1.37501i
\(538\) −7820.91 4848.84i −0.626735 0.388566i
\(539\) 16133.6 1.28928
\(540\) −13379.2 10511.3i −1.06620 0.837656i
\(541\) 2484.05 0.197408 0.0987039 0.995117i \(-0.468530\pi\)
0.0987039 + 0.995117i \(0.468530\pi\)
\(542\) 9138.65 + 5665.82i 0.724241 + 0.449018i
\(543\) −2158.29 572.369i −0.170573 0.0452352i
\(544\) −8184.13 6625.32i −0.645022 0.522166i
\(545\) −8398.47 + 23074.6i −0.660093 + 1.81359i
\(546\) −7834.65 + 1859.11i −0.614088 + 0.145719i
\(547\) −16666.3 2938.71i −1.30274 0.229708i −0.521131 0.853477i \(-0.674490\pi\)
−0.781609 + 0.623769i \(0.785601\pi\)
\(548\) 6978.85 + 1687.91i 0.544018 + 0.131577i
\(549\) −2430.63 6572.76i −0.188956 0.510963i
\(550\) −14715.9 + 11581.0i −1.14089 + 0.897848i
\(551\) 954.581 347.439i 0.0738049 0.0268628i
\(552\) 1545.33 554.906i 0.119155 0.0427869i
\(553\) −4926.91 + 4134.17i −0.378867 + 0.317907i
\(554\) 4759.91 + 4255.59i 0.365035 + 0.326359i
\(555\) −6785.74 14454.9i −0.518988 1.10555i
\(556\) −4512.20 6119.43i −0.344173 0.466765i
\(557\) 11651.7 6727.11i 0.886353 0.511736i 0.0136051 0.999907i \(-0.495669\pi\)
0.872748 + 0.488171i \(0.162336\pi\)
\(558\) 2264.74 + 15160.4i 0.171817 + 1.15017i
\(559\) 27039.1 + 15611.0i 2.04585 + 1.18117i
\(560\) −3519.97 8370.84i −0.265618 0.631665i
\(561\) −17325.5 8024.87i −1.30389 0.603940i
\(562\) 2434.55 + 508.527i 0.182732 + 0.0381689i
\(563\) 57.4211 + 325.651i 0.00429842 + 0.0243776i 0.986882 0.161446i \(-0.0516158\pi\)
−0.982583 + 0.185824i \(0.940505\pi\)
\(564\) 5005.00 + 8151.20i 0.373668 + 0.608560i
\(565\) 7975.53 + 6692.26i 0.593864 + 0.498311i
\(566\) −16206.0 + 2335.83i −1.20352 + 0.173467i
\(567\) 4331.91 5271.72i 0.320852 0.390461i
\(568\) −10051.0 21947.9i −0.742480 1.62133i
\(569\) 4492.95 5354.48i 0.331027 0.394502i −0.574700 0.818364i \(-0.694881\pi\)
0.905727 + 0.423862i \(0.139326\pi\)
\(570\) −10904.4 + 4707.26i −0.801293 + 0.345904i
\(571\) −9805.65 + 1729.00i −0.718658 + 0.126719i −0.521005 0.853553i \(-0.674443\pi\)
−0.197652 + 0.980272i \(0.563332\pi\)
\(572\) 29524.1 + 1855.70i 2.15816 + 0.135648i
\(573\) 8187.27 17676.1i 0.596907 1.28871i
\(574\) −8122.13 255.001i −0.590612 0.0185428i
\(575\) −731.816 + 1267.54i −0.0530762 + 0.0919307i
\(576\) −13030.7 + 4615.68i −0.942612 + 0.333889i
\(577\) 1949.65 + 3376.90i 0.140667 + 0.243643i 0.927748 0.373207i \(-0.121742\pi\)
−0.787081 + 0.616850i \(0.788409\pi\)
\(578\) −2044.23 3812.19i −0.147108 0.274336i
\(579\) 2827.47 1327.33i 0.202946 0.0952711i
\(580\) −1278.76 + 1924.95i −0.0915480 + 0.137809i
\(581\) 7028.95 + 8376.78i 0.501911 + 0.598154i
\(582\) −15889.1 + 929.802i −1.13166 + 0.0662226i
\(583\) −9999.49 27473.4i −0.710354 1.95168i
\(584\) 5993.36 8435.11i 0.424670 0.597684i
\(585\) −18432.7 15306.1i −1.30273 1.08176i
\(586\) −2461.18 + 6153.94i −0.173499 + 0.433817i
\(587\) 1555.36 8820.90i 0.109364 0.620234i −0.880023 0.474931i \(-0.842473\pi\)
0.989387 0.145303i \(-0.0464159\pi\)
\(588\) −9874.42 + 3899.75i −0.692541 + 0.273508i
\(589\) 10055.0 + 3659.72i 0.703411 + 0.256021i
\(590\) 803.258 + 2442.87i 0.0560502 + 0.170460i
\(591\) 5590.47 21080.5i 0.389105 1.46724i
\(592\) −12872.0 1624.53i −0.893645 0.112783i
\(593\) 24542.7i 1.69957i 0.527127 + 0.849787i \(0.323269\pi\)
−0.527127 + 0.849787i \(0.676731\pi\)
\(594\) −20868.6 + 13887.9i −1.44150 + 0.959308i
\(595\) 8253.47i 0.568671i
\(596\) 9729.09 22272.7i 0.668656 1.53075i
\(597\) −7815.16 7775.08i −0.535767 0.533020i
\(598\) 2196.43 722.222i 0.150198 0.0493877i
\(599\) 7589.25 + 2762.26i 0.517677 + 0.188419i 0.587628 0.809132i \(-0.300062\pi\)
−0.0699509 + 0.997550i \(0.522284\pi\)
\(600\) 6207.43 10645.1i 0.422362 0.724309i
\(601\) 4190.81 23767.3i 0.284437 1.61312i −0.422852 0.906199i \(-0.638971\pi\)
0.707289 0.706924i \(-0.249918\pi\)
\(602\) −13110.7 5243.43i −0.887625 0.354993i
\(603\) −6334.90 2268.90i −0.427823 0.153229i
\(604\) 13308.3 13976.8i 0.896533 0.941567i
\(605\) 13789.4 + 37886.2i 0.926645 + 2.54594i
\(606\) 16382.6 + 8222.03i 1.09818 + 0.551150i
\(607\) −555.210 661.673i −0.0371256 0.0442446i 0.747162 0.664642i \(-0.231416\pi\)
−0.784288 + 0.620397i \(0.786971\pi\)
\(608\) −1508.14 + 9531.39i −0.100597 + 0.635771i
\(609\) −760.527 529.618i −0.0506044 0.0352401i
\(610\) 9807.60 5259.17i 0.650981 0.349078i
\(611\) 6734.66 + 11664.8i 0.445917 + 0.772351i
\(612\) 12543.6 + 723.692i 0.828508 + 0.0477999i
\(613\) −14128.3 + 24470.9i −0.930891 + 1.61235i −0.149089 + 0.988824i \(0.547634\pi\)
−0.781802 + 0.623526i \(0.785699\pi\)
\(614\) −412.172 + 13128.2i −0.0270910 + 0.862886i
\(615\) −13919.4 19770.6i −0.912659 1.29631i
\(616\) −13335.6 + 1074.18i −0.872248 + 0.0702594i
\(617\) 17730.5 3126.37i 1.15690 0.203992i 0.437912 0.899018i \(-0.355718\pi\)
0.718985 + 0.695026i \(0.244607\pi\)
\(618\) −1698.25 + 2282.45i −0.110540 + 0.148566i
\(619\) 6128.15 7303.24i 0.397918 0.474220i −0.529466 0.848331i \(-0.677608\pi\)
0.927384 + 0.374111i \(0.122052\pi\)
\(620\) −23351.8 + 6874.35i −1.51263 + 0.445291i
\(621\) −1111.36 + 1613.53i −0.0718153 + 0.104265i
\(622\) 3332.50 + 23121.0i 0.214825 + 1.49046i
\(623\) −945.496 793.365i −0.0608034 0.0510201i
\(624\) −18518.5 + 6000.68i −1.18804 + 0.384967i
\(625\) −3080.75 17471.8i −0.197168 1.11820i
\(626\) 5498.19 26322.3i 0.351041 1.68059i
\(627\) 1569.90 + 17427.9i 0.0999932 + 1.11006i
\(628\) −624.775 5566.94i −0.0396994 0.353734i
\(629\) 10212.2 + 5896.04i 0.647359 + 0.373753i
\(630\) 9238.51 + 5662.19i 0.584240 + 0.358075i
\(631\) −13250.3 + 7650.06i −0.835952 + 0.482637i −0.855886 0.517164i \(-0.826988\pi\)
0.0199339 + 0.999801i \(0.493654\pi\)
\(632\) −11070.1 + 10918.5i −0.696745 + 0.687209i
\(633\) 26150.1 + 2220.12i 1.64198 + 0.139402i
\(634\) −2709.02 + 3030.06i −0.169699 + 0.189809i
\(635\) 1427.54 1197.85i 0.0892128 0.0748585i
\(636\) 12760.8 + 14397.8i 0.795597 + 0.897655i
\(637\) −14048.3 + 5113.18i −0.873808 + 0.318040i
\(638\) 2105.62 + 2675.60i 0.130662 + 0.166032i
\(639\) 25019.3 + 14273.9i 1.54890 + 0.883674i
\(640\) −10107.0 19488.2i −0.624240 1.20365i
\(641\) −28261.5 4983.26i −1.74144 0.307063i −0.789590 0.613634i \(-0.789707\pi\)
−0.951848 + 0.306572i \(0.900818\pi\)
\(642\) 8218.87 + 2458.11i 0.505253 + 0.151112i
\(643\) −2511.32 + 6899.78i −0.154023 + 0.423174i −0.992573 0.121650i \(-0.961181\pi\)
0.838550 + 0.544824i \(0.183404\pi\)
\(644\) −936.586 + 464.996i −0.0573085 + 0.0284525i
\(645\) −10978.5 40554.9i −0.670196 2.47573i
\(646\) 4621.58 7454.35i 0.281476 0.454006i
\(647\) −17871.7 −1.08595 −0.542975 0.839749i \(-0.682702\pi\)
−0.542975 + 0.839749i \(0.682702\pi\)
\(648\) 9415.48 13544.2i 0.570795 0.821093i
\(649\) 3788.66 0.229149
\(650\) 9143.56 14748.1i 0.551754 0.889948i
\(651\) −2550.83 9422.86i −0.153571 0.567298i
\(652\) −3282.69 + 1629.79i −0.197178 + 0.0978951i
\(653\) −3855.07 + 10591.7i −0.231027 + 0.634741i −0.999990 0.00455228i \(-0.998551\pi\)
0.768963 + 0.639294i \(0.220773\pi\)
\(654\) −22808.1 6821.50i −1.36371 0.407862i
\(655\) 22304.4 + 3932.86i 1.33054 + 0.234610i
\(656\) −19621.6 + 962.047i −1.16783 + 0.0572585i
\(657\) 63.4771 + 12347.0i 0.00376937 + 0.733182i
\(658\) −3767.21 4786.97i −0.223193 0.283610i
\(659\) −8320.77 + 3028.51i −0.491853 + 0.179020i −0.576026 0.817431i \(-0.695397\pi\)
0.0841731 + 0.996451i \(0.473175\pi\)
\(660\) −26404.1 29791.2i −1.55724 1.75700i
\(661\) −19281.3 + 16178.9i −1.13458 + 0.952023i −0.999248 0.0387774i \(-0.987654\pi\)
−0.135329 + 0.990801i \(0.543209\pi\)
\(662\) −1868.44 + 2089.87i −0.109697 + 0.122696i
\(663\) 17629.5 + 1496.73i 1.03269 + 0.0876743i
\(664\) 18563.8 + 18821.4i 1.08496 + 1.10002i
\(665\) 6550.53 3781.95i 0.381983 0.220538i
\(666\) 13605.7 7386.17i 0.791608 0.429742i
\(667\) 230.460 + 133.056i 0.0133785 + 0.00772408i
\(668\) −1746.83 15564.8i −0.101178 0.901528i
\(669\) 525.075 + 5829.02i 0.0303446 + 0.336865i
\(670\) 2184.91 10460.1i 0.125986 0.603150i
\(671\) −2847.12 16146.8i −0.163803 0.928973i
\(672\) 7902.26 3880.85i 0.453625 0.222779i
\(673\) 2344.08 + 1966.91i 0.134261 + 0.112658i 0.707445 0.706768i \(-0.249848\pi\)
−0.573184 + 0.819426i \(0.694292\pi\)
\(674\) 1087.60 + 7545.79i 0.0621554 + 0.431236i
\(675\) 1394.47 + 14637.8i 0.0795156 + 0.834680i
\(676\) −9435.66 + 2777.69i −0.536849 + 0.158039i
\(677\) 6212.47 7403.74i 0.352681 0.420308i −0.560314 0.828280i \(-0.689319\pi\)
0.912994 + 0.407972i \(0.133764\pi\)
\(678\) −6025.32 + 8098.04i −0.341299 + 0.458707i
\(679\) 9982.29 1760.15i 0.564190 0.0994819i
\(680\) 1602.02 + 19888.6i 0.0903453 + 1.12161i
\(681\) 9170.20 + 13025.0i 0.516010 + 0.732922i
\(682\) −1125.43 + 35846.3i −0.0631888 + 2.01265i
\(683\) 8538.58 14789.3i 0.478360 0.828543i −0.521332 0.853354i \(-0.674565\pi\)
0.999692 + 0.0248103i \(0.00789816\pi\)
\(684\) −5173.45 10287.1i −0.289198 0.575056i
\(685\) −6802.85 11782.9i −0.379450 0.657227i
\(686\) 13960.9 7486.33i 0.777013 0.416661i
\(687\) −12277.9 8550.14i −0.681851 0.474830i
\(688\) −32610.9 10090.4i −1.80709 0.559147i
\(689\) 17414.1 + 20753.3i 0.962880 + 1.14752i
\(690\) −2780.78 1395.61i −0.153424 0.0769999i
\(691\) 2833.14 + 7784.00i 0.155974 + 0.428534i 0.992925 0.118743i \(-0.0378865\pi\)
−0.836951 + 0.547277i \(0.815664\pi\)
\(692\) −3316.19 + 3482.77i −0.182171 + 0.191322i
\(693\) 12176.3 10324.3i 0.667445 0.565925i
\(694\) −14641.1 5855.52i −0.800821 0.320277i
\(695\) −2501.81 + 14188.5i −0.136545 + 0.774387i
\(696\) −1935.46 1128.62i −0.105407 0.0614656i
\(697\) 16778.5 + 6106.88i 0.911810 + 0.331872i
\(698\) 12868.2 4231.30i 0.697809 0.229451i
\(699\) 13309.5 + 13241.3i 0.720190 + 0.716497i
\(700\) −3141.40 + 7191.57i −0.169620 + 0.388308i
\(701\) 17448.4i 0.940112i −0.882637 0.470056i \(-0.844234\pi\)
0.882637 0.470056i \(-0.155766\pi\)
\(702\) 13769.8 18706.7i 0.740327 1.00576i
\(703\) 10806.9i 0.579785i
\(704\) −31926.6 + 5176.95i −1.70920 + 0.277150i
\(705\) 4646.14 17519.6i 0.248204 0.935926i
\(706\) −545.507 1659.00i −0.0290799 0.0884381i
\(707\) −10969.5 3992.56i −0.583521 0.212384i
\(708\) −2318.81 + 915.778i −0.123088 + 0.0486116i
\(709\) 1380.68 7830.22i 0.0731347 0.414767i −0.926157 0.377138i \(-0.876908\pi\)
0.999292 0.0376293i \(-0.0119806\pi\)
\(710\) −16986.3 + 42472.4i −0.897864 + 2.24502i
\(711\) 3127.77 18287.8i 0.164980 0.964620i
\(712\) −2432.38 1728.27i −0.128030 0.0909686i
\(713\) 958.709 + 2634.03i 0.0503561 + 0.138352i
\(714\) −7988.02 + 467.444i −0.418689 + 0.0245009i
\(715\) −36032.4 42941.7i −1.88466 2.24606i
\(716\) 20562.3 30952.8i 1.07325 1.61559i
\(717\) −12490.8 + 5863.70i −0.650597 + 0.305417i
\(718\) −3569.44 6656.50i −0.185530 0.345986i
\(719\) 815.729 + 1412.88i 0.0423109 + 0.0732847i 0.886405 0.462910i \(-0.153195\pi\)
−0.844094 + 0.536195i \(0.819861\pi\)
\(720\) 23361.3 + 11851.1i 1.20920 + 0.613423i
\(721\) 905.895 1569.06i 0.0467924 0.0810467i
\(722\) 11356.6 + 356.550i 0.585387 + 0.0183787i
\(723\) −12696.8 + 27412.1i −0.653110 + 1.41005i
\(724\) 3430.99 + 215.651i 0.176121 + 0.0110699i
\(725\) 1966.84 346.807i 0.100754 0.0177656i
\(726\) −35886.7 + 15491.7i −1.83455 + 0.791942i
\(727\) 14797.2 17634.6i 0.754879 0.899630i −0.242633 0.970118i \(-0.578011\pi\)
0.997513 + 0.0704878i \(0.0224556\pi\)
\(728\) 11271.5 5161.74i 0.573832 0.262784i
\(729\) 303.563 + 19680.7i 0.0154226 + 0.999881i
\(730\) −19407.2 + 2797.23i −0.983965 + 0.141822i
\(731\) 23767.4 + 19943.2i 1.20256 + 1.00907i
\(732\) 5645.49 + 9194.31i 0.285059 + 0.464251i
\(733\) −2733.57 15502.9i −0.137745 0.781188i −0.972909 0.231188i \(-0.925739\pi\)
0.835164 0.550000i \(-0.185372\pi\)
\(734\) 2179.74 + 455.302i 0.109613 + 0.0228958i
\(735\) 18254.6 + 8455.20i 0.916096 + 0.424319i
\(736\) −2166.66 + 1302.31i −0.108511 + 0.0652224i
\(737\) −13634.3 7871.77i −0.681446 0.393433i
\(738\) 18346.4 14591.5i 0.915097 0.727804i
\(739\) −1877.41 + 1083.92i −0.0934527 + 0.0539549i −0.545998 0.837786i \(-0.683849\pi\)
0.452545 + 0.891741i \(0.350516\pi\)
\(740\) 14590.4 + 19787.5i 0.724804 + 0.982975i
\(741\) −6890.37 14677.8i −0.341598 0.727670i
\(742\) −9134.00 8166.24i −0.451913 0.404033i
\(743\) 16277.1 13658.1i 0.803699 0.674384i −0.145396 0.989374i \(-0.546446\pi\)
0.949095 + 0.314990i \(0.102001\pi\)
\(744\) −7975.81 22211.4i −0.393020 1.09450i
\(745\) −43278.4 + 15752.1i −2.12832 + 0.774645i
\(746\) 3617.57 2846.92i 0.177545 0.139723i
\(747\) −31093.1 5317.87i −1.52294 0.260470i
\(748\) 28572.9 + 6910.68i 1.39670 + 0.337807i
\(749\) −5380.25 948.684i −0.262470 0.0462806i
\(750\) 4377.29 1038.70i 0.213115 0.0505708i
\(751\) −11592.4 + 31850.0i −0.563268 + 1.54757i 0.251547 + 0.967845i \(0.419061\pi\)
−0.814815 + 0.579721i \(0.803162\pi\)
\(752\) −10007.1 10804.1i −0.485269 0.523915i
\(753\) 9995.05 + 2650.65i 0.483718 + 0.128280i
\(754\) −2681.44 1662.45i −0.129512 0.0802957i