Properties

Label 105.4.s.a.26.14
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.14
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.14

$q$-expansion

\(f(q)\) \(=\) \(q+(3.64936 + 2.10696i) q^{2} +(4.80130 - 1.98684i) q^{3} +(4.87855 + 8.44990i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(21.7079 + 2.86543i) q^{6} +(16.7999 - 7.79504i) q^{7} +7.40430i q^{8} +(19.1049 - 19.0788i) q^{9} +O(q^{10})\) \(q+(3.64936 + 2.10696i) q^{2} +(4.80130 - 1.98684i) q^{3} +(4.87855 + 8.44990i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(21.7079 + 2.86543i) q^{6} +(16.7999 - 7.79504i) q^{7} +7.40430i q^{8} +(19.1049 - 19.0788i) q^{9} +(-18.2468 + 10.5348i) q^{10} +(-50.2115 + 28.9896i) q^{11} +(40.2120 + 30.8776i) q^{12} +47.9765i q^{13} +(77.7328 + 6.94984i) q^{14} +(-3.39996 + 25.7573i) q^{15} +(23.4279 - 40.5782i) q^{16} +(-11.9134 - 20.6345i) q^{17} +(109.919 - 29.3723i) q^{18} +(-116.533 - 67.2802i) q^{19} -48.7855 q^{20} +(65.1739 - 70.8051i) q^{21} -244.320 q^{22} +(84.9135 + 49.0248i) q^{23} +(14.7112 + 35.5503i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(-101.084 + 175.083i) q^{26} +(53.8217 - 129.562i) q^{27} +(147.827 + 103.929i) q^{28} -57.6971i q^{29} +(-66.6773 + 86.8342i) q^{30} +(-124.065 + 71.6288i) q^{31} +(222.292 - 128.340i) q^{32} +(-183.482 + 238.950i) q^{33} -100.404i q^{34} +(-8.24630 + 92.2334i) q^{35} +(254.419 + 68.3574i) q^{36} +(-0.379630 + 0.657539i) q^{37} +(-283.513 - 491.059i) q^{38} +(95.3217 + 230.349i) q^{39} +(-32.0616 - 18.5108i) q^{40} -518.431 q^{41} +(387.026 - 121.075i) q^{42} +201.904 q^{43} +(-489.919 - 282.855i) q^{44} +(34.8516 + 130.424i) q^{45} +(206.587 + 357.819i) q^{46} +(140.594 - 243.516i) q^{47} +(31.8615 - 241.376i) q^{48} +(221.475 - 261.912i) q^{49} -105.348i q^{50} +(-98.1972 - 75.4026i) q^{51} +(-405.397 + 234.056i) q^{52} +(168.453 - 97.2564i) q^{53} +(469.396 - 359.417i) q^{54} -289.896i q^{55} +(57.7168 + 124.392i) q^{56} +(-693.183 - 91.5000i) q^{57} +(121.565 - 210.558i) q^{58} +(244.533 + 423.544i) q^{59} +(-234.234 + 96.9292i) q^{60} +(159.081 + 91.8453i) q^{61} -603.676 q^{62} +(172.241 - 469.447i) q^{63} +706.785 q^{64} +(-207.744 - 119.941i) q^{65} +(-1173.05 + 485.425i) q^{66} +(452.293 + 783.394i) q^{67} +(116.240 - 201.333i) q^{68} +(505.100 + 66.6730i) q^{69} +(-224.426 + 319.218i) q^{70} +524.004i q^{71} +(141.266 + 141.459i) q^{72} +(-110.969 + 64.0683i) q^{73} +(-2.77082 + 1.59973i) q^{74} +(-103.033 - 79.1156i) q^{75} -1312.92i q^{76} +(-617.574 + 878.424i) q^{77} +(-137.473 + 1041.47i) q^{78} +(120.336 - 208.428i) q^{79} +(117.139 + 202.891i) q^{80} +(0.995105 - 728.999i) q^{81} +(-1891.94 - 1092.31i) q^{82} -607.116 q^{83} +(916.251 + 205.287i) q^{84} +119.134 q^{85} +(736.821 + 425.404i) q^{86} +(-114.635 - 277.021i) q^{87} +(-214.648 - 371.781i) q^{88} +(436.983 - 756.876i) q^{89} +(-147.612 + 549.394i) q^{90} +(373.979 + 806.001i) q^{91} +956.681i q^{92} +(-453.356 + 590.408i) q^{93} +(1026.16 - 592.451i) q^{94} +(582.664 - 336.401i) q^{95} +(812.298 - 1057.86i) q^{96} +1292.71i q^{97} +(1360.08 - 489.173i) q^{98} +(-406.198 + 1511.82i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.64936 + 2.10696i 1.29024 + 0.744923i 0.978697 0.205308i \(-0.0658197\pi\)
0.311546 + 0.950231i \(0.399153\pi\)
\(3\) 4.80130 1.98684i 0.924010 0.382368i
\(4\) 4.87855 + 8.44990i 0.609819 + 1.05624i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) 21.7079 + 2.86543i 1.47703 + 0.194968i
\(7\) 16.7999 7.79504i 0.907111 0.420893i
\(8\) 7.40430i 0.327227i
\(9\) 19.1049 19.0788i 0.707589 0.706624i
\(10\) −18.2468 + 10.5348i −0.577015 + 0.333139i
\(11\) −50.2115 + 28.9896i −1.37630 + 0.794609i −0.991712 0.128478i \(-0.958991\pi\)
−0.384591 + 0.923087i \(0.625657\pi\)
\(12\) 40.2120 + 30.8776i 0.967351 + 0.742799i
\(13\) 47.9765i 1.02356i 0.859117 + 0.511780i \(0.171014\pi\)
−0.859117 + 0.511780i \(0.828986\pi\)
\(14\) 77.7328 + 6.94984i 1.48393 + 0.132673i
\(15\) −3.39996 + 25.7573i −0.0585244 + 0.443368i
\(16\) 23.4279 40.5782i 0.366060 0.634035i
\(17\) −11.9134 20.6345i −0.169966 0.294389i 0.768442 0.639919i \(-0.221032\pi\)
−0.938407 + 0.345531i \(0.887699\pi\)
\(18\) 109.919 29.3723i 1.43934 0.384618i
\(19\) −116.533 67.2802i −1.40708 0.812375i −0.411970 0.911197i \(-0.635159\pi\)
−0.995105 + 0.0988217i \(0.968493\pi\)
\(20\) −48.7855 −0.545439
\(21\) 65.1739 70.8051i 0.677243 0.735759i
\(22\) −244.320 −2.36769
\(23\) 84.9135 + 49.0248i 0.769813 + 0.444452i 0.832808 0.553562i \(-0.186732\pi\)
−0.0629951 + 0.998014i \(0.520065\pi\)
\(24\) 14.7112 + 35.5503i 0.125121 + 0.302361i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) −101.084 + 175.083i −0.762473 + 1.32064i
\(27\) 53.8217 129.562i 0.383629 0.923487i
\(28\) 147.827 + 103.929i 0.997736 + 0.701456i
\(29\) 57.6971i 0.369451i −0.982790 0.184726i \(-0.940860\pi\)
0.982790 0.184726i \(-0.0591396\pi\)
\(30\) −66.6773 + 86.8342i −0.405785 + 0.528456i
\(31\) −124.065 + 71.6288i −0.718796 + 0.414997i −0.814309 0.580431i \(-0.802884\pi\)
0.0955135 + 0.995428i \(0.469551\pi\)
\(32\) 222.292 128.340i 1.22800 0.708987i
\(33\) −183.482 + 238.950i −0.967885 + 1.26048i
\(34\) 100.404i 0.506445i
\(35\) −8.24630 + 92.2334i −0.0398251 + 0.445437i
\(36\) 254.419 + 68.3574i 1.17786 + 0.316470i
\(37\) −0.379630 + 0.657539i −0.00168678 + 0.00292159i −0.866868 0.498538i \(-0.833870\pi\)
0.865181 + 0.501460i \(0.167204\pi\)
\(38\) −283.513 491.059i −1.21031 2.09632i
\(39\) 95.3217 + 230.349i 0.391377 + 0.945780i
\(40\) −32.0616 18.5108i −0.126735 0.0731702i
\(41\) −518.431 −1.97477 −0.987383 0.158351i \(-0.949382\pi\)
−0.987383 + 0.158351i \(0.949382\pi\)
\(42\) 387.026 121.075i 1.42189 0.444815i
\(43\) 201.904 0.716049 0.358025 0.933712i \(-0.383450\pi\)
0.358025 + 0.933712i \(0.383450\pi\)
\(44\) −489.919 282.855i −1.67859 0.969136i
\(45\) 34.8516 + 130.424i 0.115453 + 0.432054i
\(46\) 206.587 + 357.819i 0.662164 + 1.14690i
\(47\) 140.594 243.516i 0.436335 0.755754i −0.561069 0.827769i \(-0.689610\pi\)
0.997404 + 0.0720155i \(0.0229431\pi\)
\(48\) 31.8615 241.376i 0.0958086 0.725825i
\(49\) 221.475 261.912i 0.645699 0.763592i
\(50\) 105.348i 0.297969i
\(51\) −98.1972 75.4026i −0.269615 0.207029i
\(52\) −405.397 + 234.056i −1.08112 + 0.624187i
\(53\) 168.453 97.2564i 0.436581 0.252060i −0.265565 0.964093i \(-0.585559\pi\)
0.702146 + 0.712033i \(0.252225\pi\)
\(54\) 469.396 359.417i 1.18290 0.905750i
\(55\) 289.896i 0.710720i
\(56\) 57.7168 + 124.392i 0.137727 + 0.296831i
\(57\) −693.183 91.5000i −1.61078 0.212622i
\(58\) 121.565 210.558i 0.275212 0.476682i
\(59\) 244.533 + 423.544i 0.539586 + 0.934590i 0.998926 + 0.0463294i \(0.0147524\pi\)
−0.459341 + 0.888260i \(0.651914\pi\)
\(60\) −234.234 + 96.9292i −0.503991 + 0.208558i
\(61\) 159.081 + 91.8453i 0.333905 + 0.192780i 0.657573 0.753390i \(-0.271583\pi\)
−0.323669 + 0.946171i \(0.604916\pi\)
\(62\) −603.676 −1.23656
\(63\) 172.241 469.447i 0.344449 0.938805i
\(64\) 706.785 1.38044
\(65\) −207.744 119.941i −0.396423 0.228875i
\(66\) −1173.05 + 485.425i −2.18777 + 0.905329i
\(67\) 452.293 + 783.394i 0.824722 + 1.42846i 0.902132 + 0.431460i \(0.142002\pi\)
−0.0774103 + 0.996999i \(0.524665\pi\)
\(68\) 116.240 201.333i 0.207296 0.359048i
\(69\) 505.100 + 66.6730i 0.881259 + 0.116326i
\(70\) −224.426 + 319.218i −0.383200 + 0.545055i
\(71\) 524.004i 0.875886i 0.899003 + 0.437943i \(0.144293\pi\)
−0.899003 + 0.437943i \(0.855707\pi\)
\(72\) 141.266 + 141.459i 0.231227 + 0.231542i
\(73\) −110.969 + 64.0683i −0.177918 + 0.102721i −0.586314 0.810084i \(-0.699422\pi\)
0.408396 + 0.912805i \(0.366088\pi\)
\(74\) −2.77082 + 1.59973i −0.00435271 + 0.00251304i
\(75\) −103.033 79.1156i −0.158629 0.121806i
\(76\) 1312.92i 1.98161i
\(77\) −617.574 + 878.424i −0.914014 + 1.30007i
\(78\) −137.473 + 1041.47i −0.199561 + 1.51183i
\(79\) 120.336 208.428i 0.171378 0.296835i −0.767524 0.641020i \(-0.778511\pi\)
0.938902 + 0.344185i \(0.111845\pi\)
\(80\) 117.139 + 202.891i 0.163707 + 0.283549i
\(81\) 0.995105 728.999i 0.00136503 0.999999i
\(82\) −1891.94 1092.31i −2.54793 1.47105i
\(83\) −607.116 −0.802887 −0.401443 0.915884i \(-0.631491\pi\)
−0.401443 + 0.915884i \(0.631491\pi\)
\(84\) 916.251 + 205.287i 1.19013 + 0.266650i
\(85\) 119.134 0.152022
\(86\) 736.821 + 425.404i 0.923878 + 0.533401i
\(87\) −114.635 277.021i −0.141266 0.341377i
\(88\) −214.648 371.781i −0.260018 0.450364i
\(89\) 436.983 756.876i 0.520450 0.901446i −0.479267 0.877669i \(-0.659097\pi\)
0.999717 0.0237771i \(-0.00756920\pi\)
\(90\) −147.612 + 549.394i −0.172885 + 0.643458i
\(91\) 373.979 + 806.001i 0.430809 + 0.928482i
\(92\) 956.681i 1.08414i
\(93\) −453.356 + 590.408i −0.505493 + 0.658306i
\(94\) 1026.16 592.451i 1.12596 0.650071i
\(95\) 582.664 336.401i 0.629263 0.363305i
\(96\) 812.298 1057.86i 0.863591 1.12466i
\(97\) 1292.71i 1.35315i 0.736375 + 0.676573i \(0.236536\pi\)
−0.736375 + 0.676573i \(0.763464\pi\)
\(98\) 1360.08 489.173i 1.40193 0.504224i
\(99\) −406.198 + 1511.82i −0.412368 + 1.53479i
\(100\) 121.964 211.248i 0.121964 0.211248i
\(101\) −111.663 193.406i −0.110009 0.190541i 0.805765 0.592236i \(-0.201755\pi\)
−0.915774 + 0.401695i \(0.868421\pi\)
\(102\) −199.487 482.069i −0.193648 0.467960i
\(103\) 720.483 + 415.971i 0.689236 + 0.397931i 0.803326 0.595540i \(-0.203062\pi\)
−0.114090 + 0.993470i \(0.536395\pi\)
\(104\) −355.232 −0.334937
\(105\) 143.660 + 459.224i 0.133522 + 0.426816i
\(106\) 819.661 0.751061
\(107\) 748.609 + 432.210i 0.676362 + 0.390498i 0.798483 0.602017i \(-0.205636\pi\)
−0.122121 + 0.992515i \(0.538970\pi\)
\(108\) 1357.36 177.286i 1.20937 0.157957i
\(109\) 813.647 + 1409.28i 0.714984 + 1.23839i 0.962966 + 0.269624i \(0.0868995\pi\)
−0.247981 + 0.968765i \(0.579767\pi\)
\(110\) 610.799 1057.94i 0.529431 0.917002i
\(111\) −0.516291 + 3.91131i −0.000441479 + 0.00334455i
\(112\) 77.2772 864.332i 0.0651965 0.729212i
\(113\) 756.786i 0.630021i −0.949088 0.315011i \(-0.897992\pi\)
0.949088 0.315011i \(-0.102008\pi\)
\(114\) −2336.89 1794.43i −1.91991 1.47424i
\(115\) −424.568 + 245.124i −0.344271 + 0.198765i
\(116\) 487.535 281.478i 0.390228 0.225298i
\(117\) 915.336 + 916.586i 0.723272 + 0.724260i
\(118\) 2060.89i 1.60780i
\(119\) −360.991 253.794i −0.278084 0.195506i
\(120\) −190.715 25.1743i −0.145082 0.0191508i
\(121\) 1015.30 1758.54i 0.762807 1.32122i
\(122\) 387.029 + 670.353i 0.287213 + 0.497467i
\(123\) −2489.14 + 1030.04i −1.82470 + 0.755087i
\(124\) −1210.51 698.890i −0.876671 0.506146i
\(125\) 125.000 0.0894427
\(126\) 1617.67 1350.28i 1.14376 0.954700i
\(127\) −1423.41 −0.994544 −0.497272 0.867595i \(-0.665665\pi\)
−0.497272 + 0.867595i \(0.665665\pi\)
\(128\) 800.979 + 462.445i 0.553103 + 0.319334i
\(129\) 969.403 401.152i 0.661637 0.273794i
\(130\) −505.422 875.417i −0.340988 0.590609i
\(131\) −3.54194 + 6.13481i −0.00236229 + 0.00409161i −0.867204 0.497953i \(-0.834085\pi\)
0.864842 + 0.502044i \(0.167419\pi\)
\(132\) −2914.23 384.678i −1.92160 0.253651i
\(133\) −2482.19 221.925i −1.61830 0.144687i
\(134\) 3811.85i 2.45741i
\(135\) 426.464 + 556.959i 0.271883 + 0.355077i
\(136\) 152.784 88.2101i 0.0963320 0.0556173i
\(137\) 2.00839 1.15955i 0.00125247 0.000723114i −0.499374 0.866387i \(-0.666436\pi\)
0.500626 + 0.865664i \(0.333103\pi\)
\(138\) 1702.81 + 1307.54i 1.05038 + 0.806558i
\(139\) 331.436i 0.202245i 0.994874 + 0.101122i \(0.0322434\pi\)
−0.994874 + 0.101122i \(0.967757\pi\)
\(140\) −819.593 + 380.285i −0.494773 + 0.229571i
\(141\) 191.205 1448.53i 0.114201 0.865164i
\(142\) −1104.06 + 1912.28i −0.652467 + 1.13011i
\(143\) −1390.82 2408.97i −0.813330 1.40873i
\(144\) −326.599 1222.22i −0.189004 0.707303i
\(145\) 249.836 + 144.243i 0.143088 + 0.0826118i
\(146\) −539.957 −0.306076
\(147\) 542.988 1697.55i 0.304659 0.952461i
\(148\) −7.40819 −0.00411452
\(149\) 1404.05 + 810.630i 0.771977 + 0.445701i 0.833579 0.552400i \(-0.186288\pi\)
−0.0616027 + 0.998101i \(0.519621\pi\)
\(150\) −209.310 505.807i −0.113934 0.275326i
\(151\) −803.303 1391.36i −0.432926 0.749850i 0.564198 0.825640i \(-0.309186\pi\)
−0.997124 + 0.0757895i \(0.975852\pi\)
\(152\) 498.163 862.844i 0.265831 0.460433i
\(153\) −621.287 166.928i −0.328288 0.0882047i
\(154\) −4104.55 + 1904.48i −2.14776 + 0.996543i
\(155\) 716.288i 0.371185i
\(156\) −1481.40 + 1929.23i −0.760299 + 0.990142i
\(157\) 1045.97 603.892i 0.531705 0.306980i −0.210006 0.977700i \(-0.567348\pi\)
0.741710 + 0.670720i \(0.234015\pi\)
\(158\) 878.299 507.086i 0.442239 0.255327i
\(159\) 615.560 801.646i 0.307026 0.399841i
\(160\) 1283.40i 0.634137i
\(161\) 1808.69 + 161.709i 0.885371 + 0.0791583i
\(162\) 1539.60 2658.28i 0.746683 1.28923i
\(163\) 1017.79 1762.86i 0.489076 0.847105i −0.510845 0.859673i \(-0.670667\pi\)
0.999921 + 0.0125679i \(0.00400060\pi\)
\(164\) −2529.20 4380.70i −1.20425 2.08582i
\(165\) −575.978 1391.88i −0.271757 0.656712i
\(166\) −2215.58 1279.17i −1.03592 0.598088i
\(167\) −3172.20 −1.46990 −0.734948 0.678124i \(-0.762793\pi\)
−0.734948 + 0.678124i \(0.762793\pi\)
\(168\) 524.263 + 482.567i 0.240760 + 0.221612i
\(169\) −104.742 −0.0476752
\(170\) 434.761 + 251.010i 0.196145 + 0.113244i
\(171\) −3509.98 + 937.928i −1.56968 + 0.419445i
\(172\) 985.001 + 1706.07i 0.436661 + 0.756318i
\(173\) 643.213 1114.08i 0.282674 0.489605i −0.689369 0.724411i \(-0.742112\pi\)
0.972042 + 0.234805i \(0.0754453\pi\)
\(174\) 165.327 1252.48i 0.0720311 0.545691i
\(175\) −378.767 266.291i −0.163612 0.115027i
\(176\) 2716.66i 1.16350i
\(177\) 2015.59 + 1547.71i 0.855940 + 0.657250i
\(178\) 3189.41 1841.41i 1.34302 0.775390i
\(179\) 559.016 322.748i 0.233424 0.134767i −0.378727 0.925509i \(-0.623638\pi\)
0.612150 + 0.790741i \(0.290305\pi\)
\(180\) −932.043 + 930.772i −0.385947 + 0.385420i
\(181\) 1807.48i 0.742260i 0.928581 + 0.371130i \(0.121030\pi\)
−0.928581 + 0.371130i \(0.878970\pi\)
\(182\) −333.429 + 3729.35i −0.135799 + 1.51889i
\(183\) 946.276 + 124.908i 0.382245 + 0.0504562i
\(184\) −362.995 + 628.726i −0.145437 + 0.251904i
\(185\) −1.89815 3.28770i −0.000754351 0.00130657i
\(186\) −2898.43 + 1199.41i −1.14260 + 0.472822i
\(187\) 1196.38 + 690.727i 0.467848 + 0.270112i
\(188\) 2743.58 1.06434
\(189\) −105.738 2596.17i −0.0406949 0.999172i
\(190\) 2835.13 1.08254
\(191\) −2884.10 1665.14i −1.09260 0.630812i −0.158332 0.987386i \(-0.550612\pi\)
−0.934267 + 0.356574i \(0.883945\pi\)
\(192\) 3393.49 1404.27i 1.27554 0.527836i
\(193\) −2263.14 3919.88i −0.844066 1.46196i −0.886430 0.462863i \(-0.846822\pi\)
0.0423643 0.999102i \(-0.486511\pi\)
\(194\) −2723.70 + 4717.58i −1.00799 + 1.74589i
\(195\) −1235.75 163.118i −0.453813 0.0599032i
\(196\) 3293.61 + 593.688i 1.20029 + 0.216359i
\(197\) 4938.99i 1.78624i −0.449823 0.893118i \(-0.648513\pi\)
0.449823 0.893118i \(-0.351487\pi\)
\(198\) −4667.71 + 4661.34i −1.67535 + 1.67307i
\(199\) −1487.84 + 859.007i −0.530002 + 0.305997i −0.741017 0.671486i \(-0.765656\pi\)
0.211015 + 0.977483i \(0.432323\pi\)
\(200\) 160.308 92.5538i 0.0566774 0.0327227i
\(201\) 3728.07 + 2862.67i 1.30825 + 1.00456i
\(202\) 941.078i 0.327792i
\(203\) −449.751 969.307i −0.155499 0.335133i
\(204\) 158.084 1197.61i 0.0542555 0.411028i
\(205\) 1296.08 2244.87i 0.441571 0.764823i
\(206\) 1752.87 + 3036.06i 0.592855 + 1.02686i
\(207\) 2557.60 683.437i 0.858771 0.229479i
\(208\) 1946.80 + 1123.99i 0.648973 + 0.374685i
\(209\) 7801.71 2.58208
\(210\) −443.298 + 1978.56i −0.145669 + 0.650160i
\(211\) 4061.55 1.32516 0.662580 0.748991i \(-0.269462\pi\)
0.662580 + 0.748991i \(0.269462\pi\)
\(212\) 1643.61 + 948.941i 0.532471 + 0.307422i
\(213\) 1041.11 + 2515.90i 0.334911 + 0.809327i
\(214\) 1821.30 + 3154.58i 0.581781 + 1.00767i
\(215\) −504.761 + 874.271i −0.160113 + 0.277325i
\(216\) 959.314 + 398.512i 0.302190 + 0.125534i
\(217\) −1525.93 + 2170.45i −0.477358 + 0.678984i
\(218\) 6857.29i 2.13043i
\(219\) −405.504 + 528.090i −0.125121 + 0.162945i
\(220\) 2449.59 1414.27i 0.750689 0.433411i
\(221\) 989.973 571.561i 0.301325 0.173970i
\(222\) −10.1251 + 13.1860i −0.00306104 + 0.00398641i
\(223\) 1188.19i 0.356803i 0.983958 + 0.178402i \(0.0570926\pi\)
−0.983958 + 0.178402i \(0.942907\pi\)
\(224\) 2734.07 3888.88i 0.815525 1.15999i
\(225\) −651.881 175.148i −0.193150 0.0518956i
\(226\) 1594.52 2761.78i 0.469317 0.812881i
\(227\) 257.244 + 445.560i 0.0752153 + 0.130277i 0.901180 0.433445i \(-0.142702\pi\)
−0.825965 + 0.563722i \(0.809369\pi\)
\(228\) −2608.57 6303.72i −0.757704 1.83103i
\(229\) −2143.89 1237.78i −0.618656 0.357181i 0.157689 0.987489i \(-0.449596\pi\)
−0.776346 + 0.630307i \(0.782929\pi\)
\(230\) −2065.87 −0.592257
\(231\) −1219.87 + 5444.60i −0.347451 + 1.55077i
\(232\) 427.207 0.120894
\(233\) −3117.05 1799.63i −0.876414 0.505998i −0.00693988 0.999976i \(-0.502209\pi\)
−0.869474 + 0.493978i \(0.835542\pi\)
\(234\) 1409.18 + 5273.53i 0.393680 + 1.47325i
\(235\) 702.969 + 1217.58i 0.195135 + 0.337983i
\(236\) −2385.94 + 4132.57i −0.658099 + 1.13986i
\(237\) 163.655 1239.81i 0.0448546 0.339808i
\(238\) −782.652 1686.78i −0.213159 0.459401i
\(239\) 694.947i 0.188085i 0.995568 + 0.0940427i \(0.0299790\pi\)
−0.995568 + 0.0940427i \(0.970021\pi\)
\(240\) 965.534 + 741.404i 0.259687 + 0.199406i
\(241\) −1672.78 + 965.781i −0.447109 + 0.258139i −0.706609 0.707605i \(-0.749776\pi\)
0.259499 + 0.965743i \(0.416442\pi\)
\(242\) 7410.36 4278.38i 1.96841 1.13646i
\(243\) −1443.63 3502.12i −0.381106 0.924531i
\(244\) 1792.29i 0.470244i
\(245\) 580.426 + 1613.79i 0.151355 + 0.420823i
\(246\) −11254.0 1485.53i −2.91679 0.385016i
\(247\) 3227.87 5590.83i 0.831515 1.44023i
\(248\) −530.361 918.613i −0.135798 0.235210i
\(249\) −2914.94 + 1206.24i −0.741875 + 0.306998i
\(250\) 456.170 + 263.370i 0.115403 + 0.0666279i
\(251\) −856.279 −0.215330 −0.107665 0.994187i \(-0.534337\pi\)
−0.107665 + 0.994187i \(0.534337\pi\)
\(252\) 4807.06 834.804i 1.20165 0.208681i
\(253\) −5684.85 −1.41266
\(254\) −5194.53 2999.06i −1.28320 0.740858i
\(255\) 571.996 236.700i 0.140470 0.0581283i
\(256\) −878.434 1521.49i −0.214462 0.371458i
\(257\) 2258.12 3911.17i 0.548083 0.949308i −0.450323 0.892866i \(-0.648691\pi\)
0.998406 0.0564420i \(-0.0179756\pi\)
\(258\) 4382.91 + 578.543i 1.05763 + 0.139607i
\(259\) −1.25222 + 14.0058i −0.000300421 + 0.00336016i
\(260\) 2340.56i 0.558289i
\(261\) −1100.79 1102.30i −0.261063 0.261420i
\(262\) −25.8516 + 14.9254i −0.00609587 + 0.00351945i
\(263\) −3860.66 + 2228.95i −0.905166 + 0.522598i −0.878873 0.477056i \(-0.841704\pi\)
−0.0262934 + 0.999654i \(0.508370\pi\)
\(264\) −1769.26 1358.56i −0.412464 0.316718i
\(265\) 972.564i 0.225449i
\(266\) −8590.83 6039.76i −1.98022 1.39219i
\(267\) 594.289 4502.20i 0.136217 1.03195i
\(268\) −4413.07 + 7643.66i −1.00586 + 1.74220i
\(269\) −2224.18 3852.39i −0.504128 0.873175i −0.999989 0.00477314i \(-0.998481\pi\)
0.495861 0.868402i \(-0.334853\pi\)
\(270\) 382.832 + 2931.09i 0.0862905 + 0.660668i
\(271\) 231.231 + 133.501i 0.0518312 + 0.0299248i 0.525692 0.850675i \(-0.323807\pi\)
−0.473860 + 0.880600i \(0.657140\pi\)
\(272\) −1116.42 −0.248870
\(273\) 3396.98 + 3126.81i 0.753094 + 0.693199i
\(274\) 9.77246 0.00215466
\(275\) 1255.29 + 724.741i 0.275261 + 0.158922i
\(276\) 1900.78 + 4593.31i 0.414541 + 1.00176i
\(277\) 1095.20 + 1896.95i 0.237561 + 0.411468i 0.960014 0.279952i \(-0.0903187\pi\)
−0.722453 + 0.691420i \(0.756985\pi\)
\(278\) −698.322 + 1209.53i −0.150657 + 0.260945i
\(279\) −1003.65 + 3735.47i −0.215365 + 0.801566i
\(280\) −682.924 61.0581i −0.145759 0.0130319i
\(281\) 4484.62i 0.952064i 0.879428 + 0.476032i \(0.157925\pi\)
−0.879428 + 0.476032i \(0.842075\pi\)
\(282\) 3749.77 4883.34i 0.791828 1.03120i
\(283\) −4428.40 + 2556.74i −0.930181 + 0.537040i −0.886869 0.462022i \(-0.847124\pi\)
−0.0433120 + 0.999062i \(0.513791\pi\)
\(284\) −4427.79 + 2556.38i −0.925144 + 0.534132i
\(285\) 2129.16 2772.82i 0.442529 0.576308i
\(286\) 11721.6i 2.42347i
\(287\) −8709.61 + 4041.19i −1.79133 + 0.831164i
\(288\) 1798.28 6693.00i 0.367933 1.36941i
\(289\) 2172.64 3763.13i 0.442223 0.765953i
\(290\) 607.827 + 1052.79i 0.123079 + 0.213179i
\(291\) 2568.42 + 6206.70i 0.517400 + 1.25032i
\(292\) −1082.74 625.121i −0.216995 0.125282i
\(293\) 7533.12 1.50201 0.751007 0.660295i \(-0.229569\pi\)
0.751007 + 0.660295i \(0.229569\pi\)
\(294\) 5558.23 5050.93i 1.10259 1.00196i
\(295\) −2445.33 −0.482620
\(296\) −4.86862 2.81090i −0.000956023 0.000551960i
\(297\) 1053.48 + 8065.76i 0.205821 + 1.57583i
\(298\) 3415.93 + 5916.57i 0.664025 + 1.15013i
\(299\) −2352.04 + 4073.85i −0.454923 + 0.787949i
\(300\) 165.869 1256.59i 0.0319215 0.241830i
\(301\) 3391.98 1573.85i 0.649536 0.301380i
\(302\) 6770.11i 1.28999i
\(303\) −920.395 706.743i −0.174506 0.133998i
\(304\) −5460.22 + 3152.46i −1.03015 + 0.594757i
\(305\) −795.404 + 459.227i −0.149327 + 0.0862139i
\(306\) −1915.59 1918.21i −0.357866 0.358355i
\(307\) 176.870i 0.0328811i −0.999865 0.0164405i \(-0.994767\pi\)
0.999865 0.0164405i \(-0.00523342\pi\)
\(308\) −10435.5 933.002i −1.93057 0.172606i
\(309\) 4285.72 + 565.714i 0.789017 + 0.104150i
\(310\) 1509.19 2613.99i 0.276504 0.478919i
\(311\) −4560.64 7899.27i −0.831545 1.44028i −0.896813 0.442410i \(-0.854124\pi\)
0.0652681 0.997868i \(-0.479210\pi\)
\(312\) −1705.58 + 705.791i −0.309485 + 0.128069i
\(313\) 1906.84 + 1100.92i 0.344348 + 0.198810i 0.662193 0.749333i \(-0.269626\pi\)
−0.317845 + 0.948143i \(0.602959\pi\)
\(314\) 5089.51 0.914705
\(315\) 1602.16 + 1919.44i 0.286577 + 0.343328i
\(316\) 2348.26 0.418038
\(317\) 4772.59 + 2755.45i 0.845600 + 0.488207i 0.859164 0.511701i \(-0.170984\pi\)
−0.0135639 + 0.999908i \(0.504318\pi\)
\(318\) 3935.44 1628.54i 0.693988 0.287182i
\(319\) 1672.62 + 2897.06i 0.293569 + 0.508477i
\(320\) −1766.96 + 3060.47i −0.308676 + 0.534642i
\(321\) 4453.03 + 587.798i 0.774279 + 0.102205i
\(322\) 6259.85 + 4400.97i 1.08338 + 0.761667i
\(323\) 3206.13i 0.552303i
\(324\) 6164.83 3548.05i 1.05707 0.608377i
\(325\) 1038.72 599.706i 0.177286 0.102356i
\(326\) 7428.56 4288.88i 1.26206 0.728648i
\(327\) 6706.58 + 5149.78i 1.13417 + 0.870897i
\(328\) 3838.62i 0.646197i
\(329\) 463.751 5186.98i 0.0777126 0.869202i
\(330\) 830.678 6293.03i 0.138568 1.04976i
\(331\) −5645.88 + 9778.95i −0.937540 + 1.62387i −0.167498 + 0.985872i \(0.553569\pi\)
−0.770042 + 0.637994i \(0.779765\pi\)
\(332\) −2961.85 5130.07i −0.489616 0.848039i
\(333\) 5.29229 + 19.8051i 0.000870917 + 0.00325920i
\(334\) −11576.5 6683.71i −1.89652 1.09496i
\(335\) −4522.93 −0.737653
\(336\) −1346.26 4303.45i −0.218585 0.698728i
\(337\) −320.299 −0.0517739 −0.0258869 0.999665i \(-0.508241\pi\)
−0.0258869 + 0.999665i \(0.508241\pi\)
\(338\) −382.242 220.688i −0.0615126 0.0355143i
\(339\) −1503.61 3633.55i −0.240900 0.582146i
\(340\) 581.199 + 1006.67i 0.0927058 + 0.160571i
\(341\) 4152.98 7193.18i 0.659521 1.14232i
\(342\) −14785.3 3972.54i −2.33772 0.628100i
\(343\) 1679.14 6126.51i 0.264330 0.964432i
\(344\) 1494.96i 0.234311i
\(345\) −1551.45 + 2020.46i −0.242108 + 0.315299i
\(346\) 4694.63 2710.45i 0.729436 0.421140i
\(347\) −9651.95 + 5572.56i −1.49321 + 0.862106i −0.999970 0.00778724i \(-0.997521\pi\)
−0.493241 + 0.869893i \(0.664188\pi\)
\(348\) 1781.55 2320.12i 0.274428 0.357389i
\(349\) 3927.05i 0.602322i −0.953573 0.301161i \(-0.902626\pi\)
0.953573 0.301161i \(-0.0973742\pi\)
\(350\) −821.191 1769.84i −0.125413 0.270291i
\(351\) 6215.91 + 2582.17i 0.945245 + 0.392667i
\(352\) −7441.07 + 12888.3i −1.12673 + 1.95156i
\(353\) 3705.89 + 6418.79i 0.558767 + 0.967812i 0.997600 + 0.0692435i \(0.0220585\pi\)
−0.438833 + 0.898569i \(0.644608\pi\)
\(354\) 4094.66 + 9894.94i 0.614771 + 1.48562i
\(355\) −2269.01 1310.01i −0.339229 0.195854i
\(356\) 8527.37 1.26952
\(357\) −2237.47 501.307i −0.331707 0.0743193i
\(358\) 2720.07 0.401565
\(359\) 940.710 + 543.119i 0.138297 + 0.0798460i 0.567552 0.823337i \(-0.307890\pi\)
−0.429255 + 0.903183i \(0.641224\pi\)
\(360\) −965.698 + 258.052i −0.141380 + 0.0377792i
\(361\) 5623.75 + 9740.62i 0.819908 + 1.42012i
\(362\) −3808.29 + 6596.15i −0.552926 + 0.957696i
\(363\) 1380.79 10460.5i 0.199649 1.51249i
\(364\) −4986.16 + 7092.20i −0.717982 + 1.02124i
\(365\) 640.683i 0.0918763i
\(366\) 3190.13 + 2449.60i 0.455603 + 0.349843i
\(367\) −7481.40 + 4319.39i −1.06410 + 0.614360i −0.926564 0.376136i \(-0.877252\pi\)
−0.137538 + 0.990496i \(0.543919\pi\)
\(368\) 3978.68 2297.09i 0.563596 0.325392i
\(369\) −9904.59 + 9891.07i −1.39732 + 1.39542i
\(370\) 15.9973i 0.00224773i
\(371\) 2071.88 2947.00i 0.289937 0.412400i
\(372\) −7200.61 950.479i −1.00359 0.132473i
\(373\) 2347.14 4065.36i 0.325818 0.564334i −0.655859 0.754883i \(-0.727694\pi\)
0.981678 + 0.190549i \(0.0610269\pi\)
\(374\) 2910.67 + 5041.43i 0.402425 + 0.697021i
\(375\) 600.162 248.355i 0.0826460 0.0342000i
\(376\) 1803.06 + 1041.00i 0.247303 + 0.142780i
\(377\) 2768.10 0.378155
\(378\) 5084.14 9697.14i 0.691799 1.31949i
\(379\) −5794.79 −0.785378 −0.392689 0.919671i \(-0.628455\pi\)
−0.392689 + 0.919671i \(0.628455\pi\)
\(380\) 5685.11 + 3282.30i 0.767474 + 0.443101i
\(381\) −6834.21 + 2828.09i −0.918969 + 0.380282i
\(382\) −7016.76 12153.4i −0.939813 1.62780i
\(383\) −3919.80 + 6789.30i −0.522957 + 0.905788i 0.476686 + 0.879074i \(0.341838\pi\)
−0.999643 + 0.0267146i \(0.991495\pi\)
\(384\) 4764.54 + 628.918i 0.633176 + 0.0835790i
\(385\) −2259.75 4870.23i −0.299137 0.644702i
\(386\) 19073.4i 2.51505i
\(387\) 3857.36 3852.10i 0.506669 0.505978i
\(388\) −10923.3 + 6306.57i −1.42924 + 0.825175i
\(389\) −5808.72 + 3353.67i −0.757105 + 0.437115i −0.828255 0.560351i \(-0.810666\pi\)
0.0711505 + 0.997466i \(0.477333\pi\)
\(390\) −4166.00 3198.94i −0.540907 0.415346i
\(391\) 2336.20i 0.302166i
\(392\) 1939.28 + 1639.87i 0.249868 + 0.211290i
\(393\) −4.81698 + 36.4923i −0.000618281 + 0.00468396i
\(394\) 10406.3 18024.2i 1.33061 2.30468i
\(395\) 601.680 + 1042.14i 0.0766425 + 0.132749i
\(396\) −14756.4 + 3943.17i −1.87257 + 0.500384i
\(397\) −4544.79 2623.94i −0.574551 0.331717i 0.184414 0.982849i \(-0.440961\pi\)
−0.758965 + 0.651132i \(0.774295\pi\)
\(398\) −7239.57 −0.911776
\(399\) −12358.7 + 3866.20i −1.55065 + 0.485093i
\(400\) −1171.39 −0.146424
\(401\) 10311.6 + 5953.38i 1.28413 + 0.741390i 0.977600 0.210472i \(-0.0675001\pi\)
0.306526 + 0.951862i \(0.400833\pi\)
\(402\) 7573.55 + 18301.8i 0.939637 + 2.27068i
\(403\) −3436.50 5952.19i −0.424774 0.735731i
\(404\) 1089.51 1887.08i 0.134171 0.232391i
\(405\) 3154.17 + 1826.81i 0.386993 + 0.224135i
\(406\) 400.986 4484.96i 0.0490162 0.548238i
\(407\) 44.0214i 0.00536132i
\(408\) 558.304 727.082i 0.0677455 0.0882253i
\(409\) 8219.74 4745.67i 0.993740 0.573736i 0.0873501 0.996178i \(-0.472160\pi\)
0.906390 + 0.422441i \(0.138827\pi\)
\(410\) 9459.72 5461.57i 1.13947 0.657872i
\(411\) 7.33905 9.55768i 0.000880799 0.00114707i
\(412\) 8117.35i 0.970663i
\(413\) 7409.69 + 5209.37i 0.882826 + 0.620669i
\(414\) 10773.6 + 2894.66i 1.27897 + 0.343634i
\(415\) 1517.79 2628.89i 0.179531 0.310957i
\(416\) 6157.32 + 10664.8i 0.725690 + 1.25693i
\(417\) 658.511 + 1591.32i 0.0773320 + 0.186876i
\(418\) 28471.2 + 16437.9i 3.33152 + 1.92345i
\(419\) 6972.32 0.812936 0.406468 0.913665i \(-0.366760\pi\)
0.406468 + 0.913665i \(0.366760\pi\)
\(420\) −3179.54 + 3454.26i −0.369395 + 0.401312i
\(421\) −11795.0 −1.36545 −0.682723 0.730677i \(-0.739205\pi\)
−0.682723 + 0.730677i \(0.739205\pi\)
\(422\) 14822.1 + 8557.52i 1.70978 + 0.987141i
\(423\) −1959.97 7334.71i −0.225288 0.843088i
\(424\) 720.116 + 1247.28i 0.0824809 + 0.142861i
\(425\) −297.834 + 515.863i −0.0339931 + 0.0588778i
\(426\) −1501.50 + 11375.0i −0.170770 + 1.29371i
\(427\) 3388.48 + 302.953i 0.384028 + 0.0343348i
\(428\) 8434.23i 0.952532i
\(429\) −11464.0 8802.84i −1.29018 0.990688i
\(430\) −3684.11 + 2127.02i −0.413171 + 0.238544i
\(431\) 11447.4 6609.16i 1.27936 0.738636i 0.302626 0.953109i \(-0.402137\pi\)
0.976730 + 0.214473i \(0.0688034\pi\)
\(432\) −3996.46 5219.34i −0.445092 0.581286i
\(433\) 3173.13i 0.352173i −0.984375 0.176087i \(-0.943656\pi\)
0.984375 0.176087i \(-0.0563439\pi\)
\(434\) −10141.7 + 4705.67i −1.12170 + 0.520460i
\(435\) 1486.12 + 196.168i 0.163803 + 0.0216219i
\(436\) −7938.85 + 13750.5i −0.872022 + 1.51039i
\(437\) −6596.80 11426.0i −0.722123 1.25075i
\(438\) −2592.49 + 1072.81i −0.282818 + 0.117034i
\(439\) 10432.8 + 6023.36i 1.13423 + 0.654850i 0.944996 0.327082i \(-0.106065\pi\)
0.189237 + 0.981931i \(0.439399\pi\)
\(440\) 2146.48 0.232567
\(441\) −765.726 9229.29i −0.0826829 0.996576i
\(442\) 4817.02 0.518376
\(443\) 3956.84 + 2284.48i 0.424368 + 0.245009i 0.696944 0.717125i \(-0.254542\pi\)
−0.272576 + 0.962134i \(0.587876\pi\)
\(444\) −35.5689 + 14.7189i −0.00380186 + 0.00157326i
\(445\) 2184.91 + 3784.38i 0.232752 + 0.403139i
\(446\) −2503.47 + 4336.13i −0.265791 + 0.460363i
\(447\) 8351.87 + 1102.44i 0.883736 + 0.116653i
\(448\) 11873.9 5509.42i 1.25221 0.581017i
\(449\) 6215.10i 0.653248i 0.945154 + 0.326624i \(0.105911\pi\)
−0.945154 + 0.326624i \(0.894089\pi\)
\(450\) −2009.92 2012.66i −0.210552 0.210840i
\(451\) 26031.2 15029.1i 2.71788 1.56917i
\(452\) 6394.77 3692.02i 0.665452 0.384199i
\(453\) −6621.31 5084.30i −0.686747 0.527332i
\(454\) 2168.01i 0.224118i
\(455\) −4425.03 395.628i −0.455931 0.0407634i
\(456\) 677.494 5132.54i 0.0695758 0.527090i
\(457\) 787.087 1363.28i 0.0805654 0.139543i −0.822928 0.568146i \(-0.807661\pi\)
0.903493 + 0.428603i \(0.140994\pi\)
\(458\) −5215.89 9034.18i −0.532145 0.921702i
\(459\) −3314.64 + 432.929i −0.337068 + 0.0440248i
\(460\) −4142.55 2391.70i −0.419886 0.242421i
\(461\) −10611.4 −1.07206 −0.536032 0.844198i \(-0.680077\pi\)
−0.536032 + 0.844198i \(0.680077\pi\)
\(462\) −15923.3 + 17299.1i −1.60350 + 1.74205i
\(463\) −8273.06 −0.830414 −0.415207 0.909727i \(-0.636291\pi\)
−0.415207 + 0.909727i \(0.636291\pi\)
\(464\) −2341.25 1351.72i −0.234245 0.135241i
\(465\) −1423.15 3439.11i −0.141929 0.342978i
\(466\) −7583.49 13135.0i −0.753859 1.30572i
\(467\) −2740.57 + 4746.80i −0.271560 + 0.470355i −0.969261 0.246033i \(-0.920873\pi\)
0.697702 + 0.716388i \(0.254206\pi\)
\(468\) −3279.55 + 12206.1i −0.323926 + 1.20562i
\(469\) 13705.1 + 9635.32i 1.34934 + 0.948652i
\(470\) 5924.51i 0.581441i
\(471\) 3822.18 4977.65i 0.373921 0.486960i
\(472\) −3136.05 + 1810.60i −0.305823 + 0.176567i
\(473\) −10137.9 + 5853.13i −0.985501 + 0.568979i
\(474\) 3209.47 4179.71i 0.311004 0.405022i
\(475\) 3364.01i 0.324950i
\(476\) 383.419 4288.48i 0.0369202 0.412946i
\(477\) 1362.74 5071.96i 0.130808 0.486854i
\(478\) −1464.23 + 2536.11i −0.140109 + 0.242676i
\(479\) −5140.25 8903.18i −0.490322 0.849262i 0.509616 0.860402i \(-0.329787\pi\)
−0.999938 + 0.0111398i \(0.996454\pi\)
\(480\) 2549.92 + 6162.00i 0.242474 + 0.585949i
\(481\) −31.5464 18.2133i −0.00299042 0.00172652i
\(482\) −8139.44 −0.769173
\(483\) 9005.35 2817.17i 0.848360 0.265395i
\(484\) 19812.7 1.86070
\(485\) −5597.62 3231.78i −0.524071 0.302573i
\(486\) 2110.50 15822.2i 0.196984 1.47677i
\(487\) −9139.28 15829.7i −0.850391 1.47292i −0.880856 0.473384i \(-0.843032\pi\)
0.0304657 0.999536i \(-0.490301\pi\)
\(488\) −680.051 + 1177.88i −0.0630829 + 0.109263i
\(489\) 1384.18 10486.2i 0.128005 0.969741i
\(490\) −1282.02 + 7112.25i −0.118195 + 0.655712i
\(491\) 19670.0i 1.80793i 0.427605 + 0.903966i \(0.359357\pi\)
−0.427605 + 0.903966i \(0.640643\pi\)
\(492\) −20847.2 16007.9i −1.91029 1.46685i
\(493\) −1190.55 + 687.366i −0.108762 + 0.0627940i
\(494\) 23559.3 13602.0i 2.14571 1.23883i
\(495\) −5530.89 5538.44i −0.502212 0.502898i
\(496\) 6712.43i 0.607656i
\(497\) 4084.63 + 8803.23i 0.368654 + 0.794525i
\(498\) −13179.2 1739.65i −1.18589 0.156537i
\(499\) −8198.23 + 14199.8i −0.735477 + 1.27388i 0.219036 + 0.975717i \(0.429709\pi\)
−0.954514 + 0.298167i \(0.903625\pi\)
\(500\) 609.819 + 1056.24i 0.0545439 + 0.0944728i
\(501\) −15230.7 + 6302.67i −1.35820 + 0.562041i
\(502\) −3124.87 1804.15i −0.277828 0.160404i
\(503\) 16646.4 1.47560 0.737798 0.675022i \(-0.235866\pi\)
0.737798 + 0.675022i \(0.235866\pi\)
\(504\) 3475.93 + 1275.32i 0.307203 + 0.112713i
\(505\) 1116.63 0.0983949
\(506\) −20746.1 11977.7i −1.82268 1.05232i
\(507\) −502.899 + 208.107i −0.0440523 + 0.0182295i
\(508\) −6944.18 12027.7i −0.606492 1.05048i
\(509\) 11075.3 19183.0i 0.964448 1.67047i 0.253357 0.967373i \(-0.418465\pi\)
0.711091 0.703100i \(-0.248202\pi\)
\(510\) 2586.13 + 341.369i 0.224541 + 0.0296394i
\(511\) −1364.86 + 1941.35i −0.118157 + 0.168063i
\(512\) 14802.4i 1.27770i
\(513\) −14988.9 + 11477.0i −1.29001 + 0.987766i
\(514\) 16481.4 9515.51i 1.41432 0.816559i
\(515\) −3602.42 + 2079.86i −0.308236 + 0.177960i
\(516\) 8118.98 + 6234.31i 0.692671 + 0.531881i
\(517\) 16303.1i 1.38686i
\(518\) −34.0795 + 48.4740i −0.00289067 + 0.00411163i
\(519\) 874.759 6626.98i 0.0739839 0.560486i
\(520\) 888.081 1538.20i 0.0748941 0.129720i
\(521\) 1940.15 + 3360.43i 0.163147 + 0.282578i 0.935996 0.352012i \(-0.114502\pi\)
−0.772849 + 0.634590i \(0.781169\pi\)
\(522\) −1694.70 6342.01i −0.142098 0.531767i
\(523\) 3636.80 + 2099.70i 0.304065 + 0.175552i 0.644268 0.764800i \(-0.277162\pi\)
−0.340203 + 0.940352i \(0.610496\pi\)
\(524\) −69.1181 −0.00576229
\(525\) −2347.65 525.992i −0.195162 0.0437261i
\(526\) −18785.3 −1.55718
\(527\) 2956.05 + 1706.68i 0.244341 + 0.141070i
\(528\) 5397.58 + 13043.5i 0.444885 + 1.07509i
\(529\) −1276.63 2211.19i −0.104926 0.181737i
\(530\) −2049.15 + 3549.24i −0.167942 + 0.290885i
\(531\) 12752.5 + 3426.36i 1.04221 + 0.280021i
\(532\) −10234.3 22057.0i −0.834044 1.79754i
\(533\) 24872.5i 2.02129i
\(534\) 11654.7 15178.0i 0.944475 1.22999i
\(535\) −3743.04 + 2161.05i −0.302478 + 0.174636i
\(536\) −5800.49 + 3348.91i −0.467431 + 0.269871i
\(537\) 2042.75 2660.29i 0.164155 0.213780i
\(538\) 18745.0i 1.50215i
\(539\) −3527.85 + 19571.5i −0.281920 + 1.56401i
\(540\) −2625.72 + 6320.74i −0.209246 + 0.503706i
\(541\) −6361.95 + 11019.2i −0.505585 + 0.875699i 0.494394 + 0.869238i \(0.335390\pi\)
−0.999979 + 0.00646086i \(0.997943\pi\)
\(542\) 562.562 + 974.386i 0.0445832 + 0.0772204i
\(543\) 3591.18 + 8678.26i 0.283817 + 0.685856i
\(544\) −5296.49 3057.93i −0.417436 0.241007i
\(545\) −8136.47 −0.639501
\(546\) 5808.73 + 18568.2i 0.455295 + 1.45539i
\(547\) 3657.00 0.285854 0.142927 0.989733i \(-0.454349\pi\)
0.142927 + 0.989733i \(0.454349\pi\)
\(548\) 19.5961 + 11.3138i 0.00152756 + 0.000881938i
\(549\) 4791.53 1280.38i 0.372491 0.0995361i
\(550\) 3054.00 + 5289.68i 0.236769 + 0.410096i
\(551\) −3881.87 + 6723.60i −0.300133 + 0.519846i
\(552\) −493.667 + 3739.91i −0.0380650 + 0.288372i
\(553\) 396.931 4439.60i 0.0305230 0.341394i
\(554\) 9230.20i 0.707858i
\(555\) −15.6457 12.0139i −0.00119662 0.000918848i
\(556\) −2800.60 + 1616.93i −0.213619 + 0.123333i
\(557\) −3806.68 + 2197.79i −0.289576 + 0.167187i −0.637751 0.770243i \(-0.720135\pi\)
0.348174 + 0.937430i \(0.386802\pi\)
\(558\) −11533.2 + 11517.4i −0.874978 + 0.873785i
\(559\) 9686.66i 0.732919i
\(560\) 3549.48 + 2495.45i 0.267844 + 0.188307i
\(561\) 7116.52 + 939.378i 0.535579 + 0.0706962i
\(562\) −9448.91 + 16366.0i −0.709214 + 1.22839i
\(563\) 4278.35 + 7410.33i 0.320268 + 0.554721i 0.980543 0.196303i \(-0.0628936\pi\)
−0.660275 + 0.751024i \(0.729560\pi\)
\(564\) 13172.7 5451.06i 0.983461 0.406970i
\(565\) 3276.98 + 1891.96i 0.244006 + 0.140877i
\(566\) −21547.8 −1.60021
\(567\) −5665.86 12254.9i −0.419654 0.907684i
\(568\) −3879.89 −0.286614
\(569\) −15109.4 8723.41i −1.11321 0.642714i −0.173554 0.984824i \(-0.555525\pi\)
−0.939660 + 0.342110i \(0.888858\pi\)
\(570\) 13612.3 5632.96i 1.00028 0.413928i
\(571\) −8895.75 15407.9i −0.651971 1.12925i −0.982644 0.185502i \(-0.940609\pi\)
0.330673 0.943745i \(-0.392724\pi\)
\(572\) 13570.4 23504.6i 0.991969 1.71814i
\(573\) −17155.8 2264.56i −1.25078 0.165102i
\(574\) −40299.1 3603.02i −2.93041 0.261998i
\(575\) 2451.24i 0.177781i
\(576\) 13503.1 13484.7i 0.976785 0.975452i
\(577\) −1074.10 + 620.130i −0.0774960 + 0.0447423i −0.538247 0.842787i \(-0.680913\pi\)
0.460751 + 0.887529i \(0.347580\pi\)
\(578\) 15857.5 9155.34i 1.14115 0.658844i
\(579\) −18654.2 14324.0i −1.33893 1.02813i
\(580\) 2814.78i 0.201513i
\(581\) −10199.5 + 4732.49i −0.728307 + 0.337929i
\(582\) −3704.18 + 28062.1i −0.263820 + 1.99864i
\(583\) −5638.85 + 9766.78i −0.400579 + 0.693823i
\(584\) −474.381 821.652i −0.0336131 0.0582195i
\(585\) −6257.27 + 1672.06i −0.442233 + 0.118173i
\(586\) 27491.1 + 15872.0i 1.93796 + 1.11888i
\(587\) 18161.7 1.27702 0.638512 0.769612i \(-0.279550\pi\)
0.638512 + 0.769612i \(0.279550\pi\)
\(588\) 16993.2 3693.41i 1.19181 0.259037i
\(589\) 19276.8 1.34853
\(590\) −8923.91 5152.22i −0.622697 0.359515i
\(591\) −9813.00 23713.6i −0.683000 1.65050i
\(592\) 17.7879 + 30.8095i 0.00123493 + 0.00213896i
\(593\) 7291.15 12628.6i 0.504910 0.874530i −0.495074 0.868851i \(-0.664859\pi\)
0.999984 0.00567914i \(-0.00180774\pi\)
\(594\) −13149.7 + 31654.5i −0.908314 + 2.18653i
\(595\) 2001.43 928.651i 0.137901 0.0639848i
\(596\) 15818.8i 1.08719i
\(597\) −5436.87 + 7080.46i −0.372724 + 0.485400i
\(598\) −17166.9 + 9911.30i −1.17392 + 0.677765i
\(599\) −196.122 + 113.231i −0.0133778 + 0.00772370i −0.506674 0.862138i \(-0.669125\pi\)
0.493296 + 0.869861i \(0.335792\pi\)
\(600\) 585.796 762.885i 0.0398584 0.0519078i
\(601\) 6930.86i 0.470409i 0.971946 + 0.235204i \(0.0755759\pi\)
−0.971946 + 0.235204i \(0.924424\pi\)
\(602\) 15694.6 + 1403.20i 1.06256 + 0.0950005i
\(603\) 23587.3 + 6337.45i 1.59295 + 0.427995i
\(604\) 7837.91 13575.7i 0.528013 0.914546i
\(605\) 5076.48 + 8792.72i 0.341138 + 0.590868i
\(606\) −1869.78 4518.40i −0.125337 0.302883i
\(607\) 16733.0 + 9660.77i 1.11890 + 0.645995i 0.941119 0.338076i \(-0.109776\pi\)
0.177777 + 0.984071i \(0.443110\pi\)
\(608\) −34539.0 −2.30385
\(609\) −4085.25 3760.35i −0.271827 0.250208i
\(610\) −3870.29 −0.256891
\(611\) 11683.0 + 6745.20i 0.773559 + 0.446615i
\(612\) −1620.46 6064.18i −0.107031 0.400539i
\(613\) −2191.99 3796.64i −0.144427 0.250155i 0.784732 0.619835i \(-0.212801\pi\)
−0.929159 + 0.369680i \(0.879467\pi\)
\(614\) 372.658 645.462i 0.0244939 0.0424246i
\(615\) 1762.65 13353.4i 0.115572 0.875547i
\(616\) −6504.12 4572.71i −0.425420 0.299090i
\(617\) 15673.4i 1.02267i 0.859381 + 0.511336i \(0.170849\pi\)
−0.859381 + 0.511336i \(0.829151\pi\)
\(618\) 14448.2 + 11094.3i 0.940441 + 0.722136i
\(619\) −1966.30 + 1135.25i −0.127678 + 0.0737147i −0.562478 0.826812i \(-0.690152\pi\)
0.434801 + 0.900527i \(0.356819\pi\)
\(620\) 6052.56 3494.45i 0.392059 0.226355i
\(621\) 10921.9 8362.94i 0.705768 0.540408i
\(622\) 38436.4i 2.47775i
\(623\) 1441.40 16121.8i 0.0926939 1.03676i
\(624\) 11580.4 + 1528.60i 0.742925 + 0.0980659i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) 4639.17 + 8035.27i 0.296196 + 0.513026i
\(627\) 37458.3 15500.8i 2.38587 0.987307i
\(628\) 10205.7 + 5892.24i 0.648488 + 0.374405i
\(629\) 18.0907 0.00114678
\(630\) 1802.68 + 10380.4i 0.114001 + 0.656454i
\(631\) 2432.81 0.153485 0.0767423 0.997051i \(-0.475548\pi\)
0.0767423 + 0.997051i \(0.475548\pi\)
\(632\) 1543.26 + 891.004i 0.0971326 + 0.0560795i
\(633\) 19500.7 8069.67i 1.22446 0.506699i
\(634\) 11611.3 + 20111.3i 0.727353 + 1.25981i
\(635\) 3558.52 6163.54i 0.222387 0.385185i
\(636\) 9776.87 + 1290.54i 0.609557 + 0.0804613i
\(637\) 12565.6 + 10625.6i 0.781582 + 0.660912i
\(638\) 14096.5i 0.874745i
\(639\) 9997.40 + 10011.1i 0.618922 + 0.619767i
\(640\) −4004.89 + 2312.23i −0.247355 + 0.142811i
\(641\) 11020.4 6362.62i 0.679063 0.392057i −0.120439 0.992721i \(-0.538430\pi\)
0.799502 + 0.600664i \(0.205097\pi\)
\(642\) 15012.2 + 11527.4i 0.922874 + 0.708647i
\(643\) 114.877i 0.00704558i −0.999994 0.00352279i \(-0.998879\pi\)
0.999994 0.00352279i \(-0.00112134\pi\)
\(644\) 7457.37 + 16072.2i 0.456307 + 0.983435i
\(645\) −686.467 + 5200.52i −0.0419063 + 0.317473i
\(646\) −6755.19 + 11700.3i −0.411423 + 0.712606i
\(647\) −12704.9 22005.6i −0.771998 1.33714i −0.936467 0.350757i \(-0.885924\pi\)
0.164469 0.986382i \(-0.447409\pi\)
\(648\) 5397.73 + 7.36806i 0.327227 + 0.000446674i
\(649\) −24556.8 14177.9i −1.48527 0.857519i
\(650\) 5054.22 0.304989
\(651\) −3014.10 + 13452.7i −0.181462 + 0.809914i
\(652\) 19861.4 1.19299
\(653\) 26049.1 + 15039.5i 1.56107 + 0.901287i 0.997149 + 0.0754614i \(0.0240430\pi\)
0.563926 + 0.825825i \(0.309290\pi\)
\(654\) 13624.4 + 32923.9i 0.814609 + 1.96854i
\(655\) −17.7097 30.6741i −0.00105645 0.00182982i
\(656\) −12145.7 + 21037.0i −0.722883 + 1.25207i
\(657\) −897.713 + 3341.19i −0.0533077 + 0.198405i
\(658\) 12621.1 17952.1i 0.747756 1.06359i
\(659\) 17922.7i 1.05944i −0.848173 0.529720i \(-0.822297\pi\)
0.848173 0.529720i \(-0.177703\pi\)
\(660\) 8951.29 11657.3i 0.527922 0.687515i
\(661\) −21121.9 + 12194.8i −1.24289 + 0.717581i −0.969681 0.244375i \(-0.921417\pi\)
−0.273205 + 0.961956i \(0.588084\pi\)
\(662\) −41207.7 + 23791.3i −2.41931 + 1.39679i
\(663\) 3617.55 4711.15i 0.211907 0.275967i
\(664\) 4495.27i 0.262726i
\(665\) 7166.44 10193.4i 0.417899 0.594410i
\(666\) −22.4152 + 83.4267i −0.00130416 + 0.00485393i
\(667\) 2828.59 4899.26i 0.164203 0.284408i
\(668\) −15475.8 26804.8i −0.896371 1.55256i
\(669\) 2360.75 + 5704.85i 0.136430 + 0.329690i
\(670\) −16505.8 9529.62i −0.951753 0.549495i
\(671\) −10650.2 −0.612739
\(672\) 5400.48 24103.8i 0.310012 1.38367i
\(673\) −10681.1 −0.611780 −0.305890 0.952067i \(-0.598954\pi\)
−0.305890 + 0.952067i \(0.598954\pi\)
\(674\) −1168.89 674.857i −0.0668009 0.0385675i
\(675\) −3477.86 + 454.248i −0.198316 + 0.0259022i
\(676\) −510.991 885.062i −0.0290732 0.0503563i
\(677\) −7803.32 + 13515.8i −0.442993 + 0.767286i −0.997910 0.0646196i \(-0.979417\pi\)
0.554917 + 0.831906i \(0.312750\pi\)
\(678\) 2168.52 16428.2i 0.122834 0.930562i
\(679\) 10076.8 + 21717.5i 0.569529 + 1.22745i
\(680\) 882.101i 0.0497456i
\(681\) 2120.36 + 1628.16i 0.119313 + 0.0916171i
\(682\) 30311.5 17500.3i 1.70188 0.982584i
\(683\) −10611.4 + 6126.48i −0.594485 + 0.343226i −0.766869 0.641804i \(-0.778186\pi\)
0.172384 + 0.985030i \(0.444853\pi\)
\(684\) −25049.0 25083.2i −1.40025 1.40216i
\(685\) 11.5955i 0.000646773i
\(686\) 19036.1 18819.9i 1.05948 1.04745i
\(687\) −12752.7 1683.36i −0.708220 0.0934848i
\(688\) 4730.19 8192.92i 0.262117 0.454000i
\(689\) 4666.02 + 8081.78i 0.257999 + 0.446867i
\(690\) −9918.84 + 4104.55i −0.547252 + 0.226460i
\(691\) −22287.0 12867.4i −1.22697 0.708393i −0.260577 0.965453i \(-0.583913\pi\)
−0.966395 + 0.257061i \(0.917246\pi\)
\(692\) 12551.8 0.689519
\(693\) 4960.62 + 28564.8i 0.271917 + 1.56578i
\(694\) −46964.6 −2.56881
\(695\) −1435.16 828.590i −0.0783291 0.0452233i
\(696\) 2051.15 848.793i 0.111708 0.0462262i
\(697\) 6176.26 + 10697.6i 0.335642 + 0.581349i
\(698\) 8274.14 14331.2i 0.448683 0.777142i
\(699\) −18541.4 2447.47i −1.00329 0.132434i
\(700\) 402.300 4499.66i 0.0217222 0.242959i
\(701\) 6403.56i 0.345020i 0.985008 + 0.172510i \(0.0551878\pi\)
−0.985008 + 0.172510i \(0.944812\pi\)
\(702\) 17243.6 + 22520.0i 0.927089 + 1.21077i
\(703\) 88.4787 51.0832i 0.00474685 0.00274060i
\(704\) −35488.8 + 20489.4i −1.89990 + 1.09691i
\(705\) 5794.30 + 4449.27i 0.309540 + 0.237687i
\(706\) 31232.6i 1.66495i
\(707\) −3383.54 2378.79i −0.179987 0.126540i
\(708\) −3244.84 + 24582.2i −0.172244 + 1.30488i
\(709\) 13148.4 22773.7i 0.696472 1.20632i −0.273210 0.961954i \(-0.588086\pi\)
0.969682 0.244370i \(-0.0785811\pi\)
\(710\) −5520.28 9561.40i −0.291792 0.505399i
\(711\) −1677.56 6277.87i −0.0884858 0.331137i
\(712\) 5604.14 + 3235.55i 0.294978 + 0.170305i
\(713\) −14046.4 −0.737784
\(714\) −7109.10 6543.71i −0.372621 0.342986i
\(715\) 13908.2 0.727465
\(716\) 5454.38 + 3149.09i 0.284692 + 0.164367i
\(717\) 1380.75 + 3336.65i 0.0719179 + 0.173793i
\(718\) 2288.66 + 3964.07i 0.118958 + 0.206042i
\(719\) −2265.71 + 3924.32i −0.117520 + 0.203550i −0.918784 0.394760i \(-0.870828\pi\)
0.801265 + 0.598310i \(0.204161\pi\)
\(720\) 6108.87 + 1641.34i 0.316200 + 0.0849569i
\(721\) 15346.6 + 1372.09i 0.792700 + 0.0708728i
\(722\) 47396.0i 2.44307i
\(723\) −6112.67 + 7960.56i −0.314429 + 0.409483i
\(724\) −15273.0 + 8817.89i −0.784003 + 0.452644i
\(725\) −1249.18 + 721.214i −0.0639908 + 0.0369451i
\(726\) 27078.9 35265.0i 1.38429 1.80276i
\(727\) 6125.91i 0.312513i −0.987716 0.156257i \(-0.950057\pi\)
0.987716 0.156257i \(-0.0499427\pi\)
\(728\) −5967.88 + 2769.05i −0.303825 + 0.140972i
\(729\) −13889.5 13946.5i −0.705657 0.708553i
\(730\) 1349.89 2338.08i 0.0684408 0.118543i
\(731\) −2405.36 4166.20i −0.121704 0.210797i
\(732\) 3561.00 + 8605.31i 0.179806 + 0.434510i
\(733\) −5841.32 3372.49i −0.294344 0.169939i 0.345555 0.938398i \(-0.387691\pi\)
−0.639899 + 0.768459i \(0.721024\pi\)
\(734\) −36403.1 −1.83060
\(735\) 5993.15 + 6595.09i 0.300763 + 0.330971i
\(736\) 25167.5 1.26044
\(737\) −45420.6 26223.6i −2.27013 1.31066i
\(738\) −56985.5 + 15227.5i −2.84236 + 0.759530i
\(739\) 431.566 + 747.493i 0.0214823 + 0.0372084i 0.876567 0.481280i \(-0.159828\pi\)
−0.855084 + 0.518489i \(0.826495\pi\)
\(740\) 18.5205 32.0784i 0.000920035 0.00159355i
\(741\) 4389.85 33256.5i 0.217632 1.64873i
\(742\) 13770.2 6389.29i 0.681296 0.316116i
\(743\) 5381.32i 0.265708i −0.991136 0.132854i \(-0.957586\pi\)
0.991136 0.132854i \(-0.0424142\pi\)
\(744\) −4371.56 3356.79i −0.215416 0.165411i
\(745\) −7020.27 + 4053.15i −0.345238 + 0.199324i
\(746\) 17131.1 9890.65i 0.840770 0.485419i
\(747\) −11598.9 + 11583.1i −0.568114 + 0.567339i
\(748\) 13479.0i 0.658879i
\(749\) 15945.7 + 1425.65i 0.777893 + 0.0695489i
\(750\) 2713.48 + 358.179i 0.132110 + 0.0174385i
\(751\) 4598.53 7964.88i 0.223439 0.387008i −0.732411 0.680863i \(-0.761605\pi\)
0.955850 + 0.293855i \(0.0949384\pi\)
\(752\) −6587.63 11410.1i −0.319450 0.553303i
\(753\) −4111.25 + 1701.29i −0.198967 + 0.0823354i
\(754\) 10101.8 + 5832.28i 0.487913 + 0.281697i
\(755\) 8033.03 0.387221
\(756\) 21421.5 13559.0i 1.03055 0.652298i
\(757\) −14977.7 −0.719120 −0.359560 0.933122i \(-0.617073\pi\)
−0.359560 + 0.933122i \(0.617073\pi\)
\(758\) −21147.3 12209.4i −1.01333 0.585046i
\(759\) −27294.6 + 11294.9i −1.30531 + 0.540157i
\(760\) 2490.82 + 4314.22i 0.118883 + 0.205912i
\(761\) 8289.68 14358.2i 0.394876 0.683946i −0.598209 0.801340i \(-0.704121\pi\)
0.993085 + 0.117394i \(0.0374542\pi\)
\(762\) −30899.2 4078.68i −1.46897 0.193904i
\(763\) 24654.6 + 17333.4i 1.16980 + 0.822424i
\(764\) 32493.9i 1.53873i
\(765\) 2276.04 2272.93i 0.107569 0.107422i
\(766\) −28609.5 + 16517.7i −1.34948 + 0.779125i
\(767\) −20320.2 + 11731.9i −0.956609 + 0.552298i
\(768\) −7240.59 5559.83i −0.340198 0.261228i
\(769\) 14006.6i 0.656813i −0.944536 0.328406i \(-0.893488\pi\)
0.944536 0.328406i \(-0.106512\pi\)
\(770\) 2014.73 22534.4i 0.0942934 1.05466i
\(771\) 3071.00 23265.2i 0.143449 1.08674i
\(772\) 22081.7 38246.7i 1.02945 1.78307i