Properties

Label 49.4.e.a.15.7
Level $49$
Weight $4$
Character 49.15
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 15.7
Character \(\chi\) \(=\) 49.15
Dual form 49.4.e.a.36.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0613960 - 0.268993i) q^{2} +(2.25069 - 2.82228i) q^{3} +(7.13916 + 3.43804i) q^{4} +(-2.36861 + 2.97014i) q^{5} +(-0.620990 - 0.778697i) q^{6} +(9.47466 - 15.9132i) q^{7} +(2.73935 - 3.43503i) q^{8} +(3.10843 + 13.6189i) q^{9} +O(q^{10})\) \(q+(0.0613960 - 0.268993i) q^{2} +(2.25069 - 2.82228i) q^{3} +(7.13916 + 3.43804i) q^{4} +(-2.36861 + 2.97014i) q^{5} +(-0.620990 - 0.778697i) q^{6} +(9.47466 - 15.9132i) q^{7} +(2.73935 - 3.43503i) q^{8} +(3.10843 + 13.6189i) q^{9} +(0.653525 + 0.819495i) q^{10} +(12.3443 - 54.0839i) q^{11} +(25.7711 - 12.4107i) q^{12} +(-10.7609 + 47.1465i) q^{13} +(-3.69885 - 3.52563i) q^{14} +(3.05155 + 13.3697i) q^{15} +(38.7678 + 48.6133i) q^{16} +(-51.6949 + 24.8950i) q^{17} +3.85424 q^{18} -112.013 q^{19} +(-27.1213 + 13.0609i) q^{20} +(-23.5870 - 62.5559i) q^{21} +(-13.7903 - 6.64106i) q^{22} +(-108.715 - 52.3546i) q^{23} +(-3.52919 - 15.4624i) q^{24} +(24.6037 + 107.796i) q^{25} +(12.0214 + 5.78922i) q^{26} +(133.246 + 64.1677i) q^{27} +(122.351 - 81.0329i) q^{28} +(-154.212 + 74.2644i) q^{29} +3.78372 q^{30} -75.8179 q^{31} +(47.1246 - 22.6940i) q^{32} +(-124.856 - 156.565i) q^{33} +(3.52272 + 15.4340i) q^{34} +(24.8228 + 65.8333i) q^{35} +(-24.6308 + 107.915i) q^{36} +(358.390 - 172.591i) q^{37} +(-6.87715 + 30.1307i) q^{38} +(108.841 + 136.483i) q^{39} +(3.71409 + 16.2725i) q^{40} +(-53.9698 + 67.6759i) q^{41} +(-18.2753 + 2.50407i) q^{42} +(29.5287 + 37.0279i) q^{43} +(274.070 - 343.673i) q^{44} +(-47.8127 - 23.0254i) q^{45} +(-20.7577 + 26.0294i) q^{46} +(92.7165 - 406.217i) q^{47} +224.455 q^{48} +(-163.462 - 301.545i) q^{49} +30.5069 q^{50} +(-46.0888 + 201.928i) q^{51} +(-238.915 + 299.591i) q^{52} +(284.334 + 136.928i) q^{53} +(25.4414 - 31.9026i) q^{54} +(131.398 + 164.768i) q^{55} +(-28.7081 - 76.1376i) q^{56} +(-252.107 + 316.132i) q^{57} +(10.5087 + 46.0415i) q^{58} +(-429.962 - 539.155i) q^{59} +(-24.1801 + 105.940i) q^{60} +(-221.533 + 106.685i) q^{61} +(-4.65492 + 20.3945i) q^{62} +(246.172 + 79.5694i) q^{63} +(107.477 + 470.889i) q^{64} +(-114.544 - 143.633i) q^{65} +(-49.7806 + 23.9731i) q^{66} +367.091 q^{67} -454.648 q^{68} +(-392.444 + 188.991i) q^{69} +(19.2327 - 2.63527i) q^{70} +(-82.7389 - 39.8450i) q^{71} +(55.2965 + 26.6294i) q^{72} +(12.3116 + 53.9406i) q^{73} +(-24.4222 - 107.001i) q^{74} +(359.605 + 173.177i) q^{75} +(-799.679 - 385.105i) q^{76} +(-743.691 - 708.863i) q^{77} +(43.3953 - 20.8981i) q^{78} +436.724 q^{79} -236.214 q^{80} +(141.178 - 67.9878i) q^{81} +(14.8909 + 18.6725i) q^{82} +(289.021 + 1266.28i) q^{83} +(46.6779 - 527.690i) q^{84} +(48.5035 - 212.508i) q^{85} +(11.7732 - 5.66967i) q^{86} +(-137.488 + 602.374i) q^{87} +(-151.965 - 190.557i) q^{88} +(17.1743 + 75.2457i) q^{89} +(-9.12919 + 11.4476i) q^{90} +(648.298 + 617.938i) q^{91} +(-596.140 - 747.535i) q^{92} +(-170.643 + 213.979i) q^{93} +(-103.577 - 49.8802i) q^{94} +(265.315 - 332.694i) q^{95} +(42.0141 - 184.076i) q^{96} +1261.25 q^{97} +(-91.1494 + 25.4565i) q^{98} +774.935 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0613960 0.268993i 0.0217068 0.0951035i −0.962914 0.269808i \(-0.913040\pi\)
0.984621 + 0.174704i \(0.0558970\pi\)
\(3\) 2.25069 2.82228i 0.433146 0.543147i −0.516577 0.856241i \(-0.672794\pi\)
0.949722 + 0.313094i \(0.101365\pi\)
\(4\) 7.13916 + 3.43804i 0.892395 + 0.429755i
\(5\) −2.36861 + 2.97014i −0.211855 + 0.265657i −0.876393 0.481597i \(-0.840057\pi\)
0.664538 + 0.747254i \(0.268628\pi\)
\(6\) −0.620990 0.778697i −0.0422530 0.0529836i
\(7\) 9.47466 15.9132i 0.511583 0.859234i
\(8\) 2.73935 3.43503i 0.121063 0.151808i
\(9\) 3.10843 + 13.6189i 0.115127 + 0.504404i
\(10\) 0.653525 + 0.819495i 0.0206663 + 0.0259147i
\(11\) 12.3443 54.0839i 0.338358 1.48244i −0.464125 0.885770i \(-0.653631\pi\)
0.802483 0.596675i \(-0.203512\pi\)
\(12\) 25.7711 12.4107i 0.619957 0.298556i
\(13\) −10.7609 + 47.1465i −0.229580 + 1.00585i 0.720404 + 0.693554i \(0.243956\pi\)
−0.949984 + 0.312299i \(0.898901\pi\)
\(14\) −3.69885 3.52563i −0.0706113 0.0673045i
\(15\) 3.05155 + 13.3697i 0.0525272 + 0.230137i
\(16\) 38.7678 + 48.6133i 0.605747 + 0.759583i
\(17\) −51.6949 + 24.8950i −0.737521 + 0.355172i −0.764637 0.644461i \(-0.777082\pi\)
0.0271161 + 0.999632i \(0.491368\pi\)
\(18\) 3.85424 0.0504696
\(19\) −112.013 −1.35250 −0.676251 0.736671i \(-0.736396\pi\)
−0.676251 + 0.736671i \(0.736396\pi\)
\(20\) −27.1213 + 13.0609i −0.303226 + 0.146026i
\(21\) −23.5870 62.5559i −0.245100 0.650038i
\(22\) −13.7903 6.64106i −0.133641 0.0643581i
\(23\) −108.715 52.3546i −0.985596 0.474638i −0.129570 0.991570i \(-0.541360\pi\)
−0.856026 + 0.516932i \(0.827074\pi\)
\(24\) −3.52919 15.4624i −0.0300164 0.131510i
\(25\) 24.6037 + 107.796i 0.196829 + 0.862366i
\(26\) 12.0214 + 5.78922i 0.0906768 + 0.0436677i
\(27\) 133.246 + 64.1677i 0.949746 + 0.457374i
\(28\) 122.351 81.0329i 0.825795 0.546921i
\(29\) −154.212 + 74.2644i −0.987462 + 0.475536i −0.856665 0.515873i \(-0.827468\pi\)
−0.130796 + 0.991409i \(0.541753\pi\)
\(30\) 3.78372 0.0230270
\(31\) −75.8179 −0.439268 −0.219634 0.975582i \(-0.570486\pi\)
−0.219634 + 0.975582i \(0.570486\pi\)
\(32\) 47.1246 22.6940i 0.260329 0.125368i
\(33\) −124.856 156.565i −0.658628 0.825893i
\(34\) 3.52272 + 15.4340i 0.0177689 + 0.0778505i
\(35\) 24.8228 + 65.8333i 0.119880 + 0.317939i
\(36\) −24.6308 + 107.915i −0.114031 + 0.499604i
\(37\) 358.390 172.591i 1.59240 0.766861i 0.593134 0.805104i \(-0.297890\pi\)
0.999268 + 0.0382431i \(0.0121761\pi\)
\(38\) −6.87715 + 30.1307i −0.0293584 + 0.128628i
\(39\) 108.841 + 136.483i 0.446886 + 0.560377i
\(40\) 3.71409 + 16.2725i 0.0146812 + 0.0643227i
\(41\) −53.9698 + 67.6759i −0.205577 + 0.257786i −0.873922 0.486066i \(-0.838432\pi\)
0.668345 + 0.743851i \(0.267003\pi\)
\(42\) −18.2753 + 2.50407i −0.0671413 + 0.00919969i
\(43\) 29.5287 + 37.0279i 0.104723 + 0.131319i 0.831431 0.555628i \(-0.187522\pi\)
−0.726708 + 0.686946i \(0.758951\pi\)
\(44\) 274.070 343.673i 0.939038 1.17752i
\(45\) −47.8127 23.0254i −0.158389 0.0762761i
\(46\) −20.7577 + 26.0294i −0.0665339 + 0.0834308i
\(47\) 92.7165 406.217i 0.287747 1.26070i −0.599863 0.800103i \(-0.704778\pi\)
0.887609 0.460597i \(-0.152365\pi\)
\(48\) 224.455 0.674942
\(49\) −163.462 301.545i −0.476565 0.879139i
\(50\) 30.5069 0.0862866
\(51\) −46.0888 + 201.928i −0.126544 + 0.554424i
\(52\) −238.915 + 299.591i −0.637146 + 0.798956i
\(53\) 284.334 + 136.928i 0.736912 + 0.354878i 0.764399 0.644744i \(-0.223036\pi\)
−0.0274864 + 0.999622i \(0.508750\pi\)
\(54\) 25.4414 31.9026i 0.0641137 0.0803961i
\(55\) 131.398 + 164.768i 0.322140 + 0.403950i
\(56\) −28.7081 76.1376i −0.0685050 0.181684i
\(57\) −252.107 + 316.132i −0.585830 + 0.734608i
\(58\) 10.5087 + 46.0415i 0.0237906 + 0.104233i
\(59\) −429.962 539.155i −0.948751 1.18970i −0.981738 0.190240i \(-0.939073\pi\)
0.0329867 0.999456i \(-0.489498\pi\)
\(60\) −24.1801 + 105.940i −0.0520274 + 0.227947i
\(61\) −221.533 + 106.685i −0.464989 + 0.223927i −0.651684 0.758491i \(-0.725937\pi\)
0.186694 + 0.982418i \(0.440223\pi\)
\(62\) −4.65492 + 20.3945i −0.00953508 + 0.0417759i
\(63\) 246.172 + 79.5694i 0.492298 + 0.159124i
\(64\) 107.477 + 470.889i 0.209917 + 0.919705i
\(65\) −114.544 143.633i −0.218575 0.274084i
\(66\) −49.7806 + 23.9731i −0.0928420 + 0.0447103i
\(67\) 367.091 0.669363 0.334682 0.942331i \(-0.391371\pi\)
0.334682 + 0.942331i \(0.391371\pi\)
\(68\) −454.648 −0.810797
\(69\) −392.444 + 188.991i −0.684705 + 0.329737i
\(70\) 19.2327 2.63527i 0.0328393 0.00449964i
\(71\) −82.7389 39.8450i −0.138300 0.0666018i 0.363454 0.931612i \(-0.381597\pi\)
−0.501754 + 0.865010i \(0.667312\pi\)
\(72\) 55.2965 + 26.6294i 0.0905105 + 0.0435875i
\(73\) 12.3116 + 53.9406i 0.0197392 + 0.0864832i 0.983838 0.179060i \(-0.0573057\pi\)
−0.964099 + 0.265544i \(0.914449\pi\)
\(74\) −24.4222 107.001i −0.0383652 0.168089i
\(75\) 359.605 + 173.177i 0.553648 + 0.266623i
\(76\) −799.679 385.105i −1.20697 0.581244i
\(77\) −743.691 708.863i −1.10067 1.04912i
\(78\) 43.3953 20.8981i 0.0629942 0.0303364i
\(79\) 436.724 0.621965 0.310983 0.950416i \(-0.399342\pi\)
0.310983 + 0.950416i \(0.399342\pi\)
\(80\) −236.214 −0.330119
\(81\) 141.178 67.9878i 0.193660 0.0932618i
\(82\) 14.8909 + 18.6725i 0.0200539 + 0.0251468i
\(83\) 289.021 + 1266.28i 0.382219 + 1.67461i 0.690512 + 0.723320i \(0.257385\pi\)
−0.308293 + 0.951291i \(0.599758\pi\)
\(84\) 46.6779 527.690i 0.0606307 0.685424i
\(85\) 48.5035 212.508i 0.0618934 0.271173i
\(86\) 11.7732 5.66967i 0.0147621 0.00710903i
\(87\) −137.488 + 602.374i −0.169428 + 0.742314i
\(88\) −151.965 190.557i −0.184085 0.230835i
\(89\) 17.1743 + 75.2457i 0.0204548 + 0.0896183i 0.984125 0.177477i \(-0.0567934\pi\)
−0.963670 + 0.267095i \(0.913936\pi\)
\(90\) −9.12919 + 11.4476i −0.0106922 + 0.0134076i
\(91\) 648.298 + 617.938i 0.746814 + 0.711841i
\(92\) −596.140 747.535i −0.675564 0.847130i
\(93\) −170.643 + 213.979i −0.190267 + 0.238587i
\(94\) −103.577 49.8802i −0.113651 0.0547314i
\(95\) 265.315 332.694i 0.286534 0.359302i
\(96\) 42.0141 184.076i 0.0446672 0.195700i
\(97\) 1261.25 1.32021 0.660103 0.751175i \(-0.270512\pi\)
0.660103 + 0.751175i \(0.270512\pi\)
\(98\) −91.1494 + 25.4565i −0.0939539 + 0.0262398i
\(99\) 774.935 0.786706
\(100\) −194.956 + 854.160i −0.194956 + 0.854160i
\(101\) 908.876 1139.70i 0.895412 1.12281i −0.0964305 0.995340i \(-0.530743\pi\)
0.991842 0.127471i \(-0.0406860\pi\)
\(102\) 51.4877 + 24.7952i 0.0499808 + 0.0240695i
\(103\) 66.7048 83.6452i 0.0638119 0.0800176i −0.748901 0.662682i \(-0.769418\pi\)
0.812713 + 0.582664i \(0.197990\pi\)
\(104\) 132.472 + 166.115i 0.124903 + 0.156624i
\(105\) 241.668 + 78.1135i 0.224613 + 0.0726010i
\(106\) 54.2898 68.0772i 0.0497461 0.0623797i
\(107\) −150.142 657.814i −0.135652 0.594330i −0.996361 0.0852330i \(-0.972837\pi\)
0.860709 0.509097i \(-0.170021\pi\)
\(108\) 730.651 + 916.208i 0.650990 + 0.816316i
\(109\) −20.7014 + 90.6988i −0.0181911 + 0.0797006i −0.983209 0.182485i \(-0.941586\pi\)
0.965018 + 0.262185i \(0.0844432\pi\)
\(110\) 52.3887 25.2291i 0.0454097 0.0218682i
\(111\) 319.524 1399.92i 0.273224 1.19707i
\(112\) 1140.91 156.327i 0.962549 0.131888i
\(113\) −68.6897 300.949i −0.0571839 0.250539i 0.938254 0.345946i \(-0.112442\pi\)
−0.995438 + 0.0954068i \(0.969585\pi\)
\(114\) 69.5590 + 87.2242i 0.0571473 + 0.0716605i
\(115\) 413.004 198.892i 0.334894 0.161277i
\(116\) −1356.27 −1.08557
\(117\) −675.534 −0.533788
\(118\) −171.427 + 82.5550i −0.133739 + 0.0644051i
\(119\) −93.6323 + 1058.50i −0.0721282 + 0.815403i
\(120\) 54.2847 + 26.1422i 0.0412958 + 0.0198870i
\(121\) −1573.49 757.754i −1.18219 0.569312i
\(122\) 15.0962 + 66.1408i 0.0112028 + 0.0490829i
\(123\) 69.5310 + 304.635i 0.0509707 + 0.223317i
\(124\) −541.277 260.665i −0.392001 0.188778i
\(125\) −806.287 388.288i −0.576932 0.277836i
\(126\) 36.5176 61.3334i 0.0258194 0.0433652i
\(127\) −1036.08 + 498.948i −0.723912 + 0.348618i −0.759287 0.650756i \(-0.774452\pi\)
0.0353745 + 0.999374i \(0.488738\pi\)
\(128\) 551.700 0.380967
\(129\) 170.963 0.116686
\(130\) −45.6689 + 21.9930i −0.0308110 + 0.0148378i
\(131\) 1434.69 + 1799.04i 0.956864 + 1.19987i 0.979769 + 0.200132i \(0.0641371\pi\)
−0.0229048 + 0.999738i \(0.507291\pi\)
\(132\) −353.094 1547.00i −0.232825 1.02007i
\(133\) −1061.28 + 1782.49i −0.691917 + 1.16212i
\(134\) 22.5379 98.7451i 0.0145297 0.0636588i
\(135\) −506.194 + 243.770i −0.322713 + 0.155410i
\(136\) −56.0953 + 245.770i −0.0353686 + 0.154960i
\(137\) −360.581 452.154i −0.224865 0.281972i 0.656582 0.754254i \(-0.272002\pi\)
−0.881447 + 0.472283i \(0.843430\pi\)
\(138\) 26.7428 + 117.168i 0.0164964 + 0.0722754i
\(139\) −44.7782 + 56.1501i −0.0273240 + 0.0342632i −0.795306 0.606209i \(-0.792690\pi\)
0.767982 + 0.640472i \(0.221261\pi\)
\(140\) −49.1234 + 555.336i −0.0296549 + 0.335246i
\(141\) −937.782 1175.94i −0.560110 0.702355i
\(142\) −15.7979 + 19.8099i −0.00933611 + 0.0117071i
\(143\) 2417.03 + 1163.98i 1.41344 + 0.680678i
\(144\) −541.553 + 679.086i −0.313399 + 0.392990i
\(145\) 144.691 633.934i 0.0828686 0.363071i
\(146\) 15.2655 0.00865333
\(147\) −1218.94 217.349i −0.683924 0.121950i
\(148\) 3151.98 1.75061
\(149\) −219.530 + 961.823i −0.120702 + 0.528830i 0.878036 + 0.478595i \(0.158854\pi\)
−0.998737 + 0.0502342i \(0.984003\pi\)
\(150\) 68.6616 86.0990i 0.0373747 0.0468663i
\(151\) −2509.25 1208.39i −1.35232 0.651242i −0.389408 0.921065i \(-0.627320\pi\)
−0.962910 + 0.269824i \(0.913035\pi\)
\(152\) −306.842 + 384.768i −0.163738 + 0.205321i
\(153\) −499.732 626.644i −0.264059 0.331119i
\(154\) −236.339 + 156.527i −0.123667 + 0.0819044i
\(155\) 179.583 225.190i 0.0930610 0.116695i
\(156\) 307.803 + 1348.57i 0.157974 + 0.692129i
\(157\) −1489.03 1867.19i −0.756929 0.949159i 0.242853 0.970063i \(-0.421917\pi\)
−0.999781 + 0.0209045i \(0.993345\pi\)
\(158\) 26.8131 117.476i 0.0135008 0.0591511i
\(159\) 1026.40 494.287i 0.511941 0.246538i
\(160\) −44.2153 + 193.720i −0.0218471 + 0.0957182i
\(161\) −1863.17 + 1233.97i −0.912040 + 0.604041i
\(162\) −9.62050 42.1502i −0.00466579 0.0204422i
\(163\) −88.4816 110.952i −0.0425179 0.0533157i 0.760118 0.649785i \(-0.225141\pi\)
−0.802636 + 0.596469i \(0.796570\pi\)
\(164\) −617.972 + 297.599i −0.294241 + 0.141699i
\(165\) 760.756 0.358938
\(166\) 358.367 0.167558
\(167\) −1088.62 + 524.253i −0.504432 + 0.242921i −0.668752 0.743486i \(-0.733171\pi\)
0.164320 + 0.986407i \(0.447457\pi\)
\(168\) −279.494 90.3400i −0.128354 0.0414874i
\(169\) −127.572 61.4353i −0.0580663 0.0279633i
\(170\) −54.1852 26.0942i −0.0244460 0.0117726i
\(171\) −348.184 1525.49i −0.155709 0.682208i
\(172\) 83.5072 + 365.869i 0.0370196 + 0.162193i
\(173\) 3398.17 + 1636.47i 1.49340 + 0.719183i 0.989494 0.144575i \(-0.0461816\pi\)
0.503906 + 0.863759i \(0.331896\pi\)
\(174\) 153.593 + 73.9667i 0.0669189 + 0.0322264i
\(175\) 1948.49 + 629.804i 0.841669 + 0.272050i
\(176\) 3107.76 1496.62i 1.33100 0.640976i
\(177\) −2489.36 −1.05713
\(178\) 21.2950 0.00896703
\(179\) −81.1272 + 39.0688i −0.0338756 + 0.0163136i −0.450745 0.892653i \(-0.648842\pi\)
0.416869 + 0.908966i \(0.363127\pi\)
\(180\) −262.181 328.764i −0.108566 0.136137i
\(181\) −767.575 3362.97i −0.315212 1.38104i −0.845843 0.533432i \(-0.820902\pi\)
0.530630 0.847603i \(-0.321955\pi\)
\(182\) 206.024 136.449i 0.0839095 0.0555729i
\(183\) −197.508 + 865.340i −0.0797827 + 0.349551i
\(184\) −477.649 + 230.024i −0.191374 + 0.0921606i
\(185\) −336.264 + 1473.27i −0.133636 + 0.585497i
\(186\) 47.0822 + 59.0392i 0.0185604 + 0.0232740i
\(187\) 708.279 + 3103.17i 0.276976 + 1.21351i
\(188\) 2058.51 2581.29i 0.798576 1.00138i
\(189\) 2283.57 1512.40i 0.878865 0.582069i
\(190\) −73.2033 91.7940i −0.0279512 0.0350497i
\(191\) 609.678 764.512i 0.230967 0.289624i −0.652820 0.757513i \(-0.726414\pi\)
0.883787 + 0.467889i \(0.154985\pi\)
\(192\) 1570.88 + 756.494i 0.590460 + 0.284350i
\(193\) 301.934 378.614i 0.112610 0.141208i −0.722332 0.691546i \(-0.756930\pi\)
0.834942 + 0.550338i \(0.185501\pi\)
\(194\) 77.4354 339.267i 0.0286574 0.125556i
\(195\) −663.174 −0.243543
\(196\) −130.258 2714.77i −0.0474700 0.989346i
\(197\) 1683.13 0.608721 0.304360 0.952557i \(-0.401557\pi\)
0.304360 + 0.952557i \(0.401557\pi\)
\(198\) 47.5779 208.452i 0.0170768 0.0748185i
\(199\) 1959.24 2456.81i 0.697925 0.875170i −0.298942 0.954271i \(-0.596634\pi\)
0.996867 + 0.0791012i \(0.0252050\pi\)
\(200\) 437.680 + 210.776i 0.154743 + 0.0745204i
\(201\) 826.209 1036.03i 0.289932 0.363563i
\(202\) −250.769 314.454i −0.0873468 0.109529i
\(203\) −279.315 + 3157.64i −0.0965719 + 1.09174i
\(204\) −1023.27 + 1283.14i −0.351193 + 0.440382i
\(205\) −73.1739 320.596i −0.0249302 0.109226i
\(206\) −18.4046 23.0786i −0.00622480 0.00780566i
\(207\) 375.078 1643.33i 0.125941 0.551783i
\(208\) −2709.13 + 1304.65i −0.903097 + 0.434908i
\(209\) −1382.72 + 6058.09i −0.457630 + 2.00501i
\(210\) 35.8495 60.2113i 0.0117802 0.0197856i
\(211\) −568.748 2491.85i −0.185565 0.813013i −0.978918 0.204252i \(-0.934524\pi\)
0.793353 0.608761i \(-0.208333\pi\)
\(212\) 1559.15 + 1955.11i 0.505106 + 0.633383i
\(213\) −298.673 + 143.833i −0.0960787 + 0.0462690i
\(214\) −186.166 −0.0594675
\(215\) −179.920 −0.0570718
\(216\) 585.425 281.926i 0.184412 0.0888084i
\(217\) −718.349 + 1206.51i −0.224722 + 0.377434i
\(218\) 23.1264 + 11.1371i 0.00718494 + 0.00346008i
\(219\) 179.945 + 86.6569i 0.0555231 + 0.0267385i
\(220\) 371.593 + 1628.05i 0.113876 + 0.498925i
\(221\) −617.428 2705.13i −0.187931 0.823379i
\(222\) −356.953 171.899i −0.107915 0.0519691i
\(223\) 1271.66 + 612.401i 0.381869 + 0.183899i 0.614963 0.788556i \(-0.289171\pi\)
−0.233094 + 0.972454i \(0.574885\pi\)
\(224\) 85.3543 964.923i 0.0254597 0.287820i
\(225\) −1391.58 + 670.151i −0.412321 + 0.198563i
\(226\) −85.1706 −0.0250684
\(227\) −3830.05 −1.11986 −0.559932 0.828539i \(-0.689173\pi\)
−0.559932 + 0.828539i \(0.689173\pi\)
\(228\) −2886.70 + 1390.16i −0.838494 + 0.403797i
\(229\) −1281.95 1607.52i −0.369930 0.463877i 0.561671 0.827361i \(-0.310159\pi\)
−0.931601 + 0.363483i \(0.881587\pi\)
\(230\) −28.1439 123.307i −0.00806851 0.0353504i
\(231\) −3674.43 + 503.470i −1.04658 + 0.143402i
\(232\) −167.339 + 733.158i −0.0473548 + 0.207475i
\(233\) −1660.14 + 799.483i −0.466779 + 0.224789i −0.652463 0.757820i \(-0.726264\pi\)
0.185684 + 0.982610i \(0.440550\pi\)
\(234\) −41.4751 + 181.714i −0.0115868 + 0.0507651i
\(235\) 986.914 + 1237.55i 0.273954 + 0.343527i
\(236\) −1215.93 5327.35i −0.335383 1.46941i
\(237\) 982.930 1232.55i 0.269401 0.337819i
\(238\) 278.982 + 90.1744i 0.0759820 + 0.0245594i
\(239\) −3512.96 4405.11i −0.950771 1.19223i −0.981259 0.192694i \(-0.938277\pi\)
0.0304875 0.999535i \(-0.490294\pi\)
\(240\) −531.645 + 666.662i −0.142990 + 0.179303i
\(241\) 3871.19 + 1864.27i 1.03471 + 0.498290i 0.872576 0.488478i \(-0.162448\pi\)
0.162135 + 0.986769i \(0.448162\pi\)
\(242\) −300.437 + 376.736i −0.0798050 + 0.100072i
\(243\) −762.674 + 3341.49i −0.201340 + 0.882127i
\(244\) −1948.34 −0.511188
\(245\) 1282.81 + 228.737i 0.334512 + 0.0596467i
\(246\) 86.2138 0.0223447
\(247\) 1205.36 5281.02i 0.310507 1.36042i
\(248\) −207.692 + 260.437i −0.0531792 + 0.0666846i
\(249\) 4224.30 + 2034.32i 1.07512 + 0.517749i
\(250\) −153.950 + 193.047i −0.0389465 + 0.0488374i
\(251\) 4519.99 + 5667.89i 1.13665 + 1.42531i 0.889853 + 0.456247i \(0.150807\pi\)
0.246797 + 0.969067i \(0.420622\pi\)
\(252\) 1483.90 + 1414.41i 0.370940 + 0.353569i
\(253\) −4173.55 + 5233.47i −1.03711 + 1.30049i
\(254\) 70.6027 + 309.331i 0.0174410 + 0.0764139i
\(255\) −490.589 615.179i −0.120478 0.151075i
\(256\) −825.946 + 3618.71i −0.201647 + 0.883473i
\(257\) 142.633 68.6883i 0.0346194 0.0166718i −0.416494 0.909138i \(-0.636741\pi\)
0.451113 + 0.892467i \(0.351027\pi\)
\(258\) 10.4964 45.9879i 0.00253287 0.0110972i
\(259\) 649.132 7338.38i 0.155734 1.76056i
\(260\) −323.929 1419.23i −0.0772662 0.338525i
\(261\) −1490.76 1869.35i −0.353546 0.443333i
\(262\) 572.014 275.467i 0.134882 0.0649559i
\(263\) −515.650 −0.120899 −0.0604493 0.998171i \(-0.519253\pi\)
−0.0604493 + 0.998171i \(0.519253\pi\)
\(264\) −879.831 −0.205113
\(265\) −1080.17 + 520.184i −0.250394 + 0.120584i
\(266\) 414.319 + 394.916i 0.0955020 + 0.0910295i
\(267\) 251.018 + 120.884i 0.0575359 + 0.0277078i
\(268\) 2620.72 + 1262.07i 0.597337 + 0.287662i
\(269\) 127.001 + 556.427i 0.0287858 + 0.126119i 0.987279 0.158996i \(-0.0508255\pi\)
−0.958493 + 0.285114i \(0.907968\pi\)
\(270\) 34.4943 + 151.129i 0.00777502 + 0.0340646i
\(271\) −6725.52 3238.84i −1.50755 0.725998i −0.516106 0.856525i \(-0.672619\pi\)
−0.991445 + 0.130526i \(0.958333\pi\)
\(272\) −3214.33 1547.94i −0.716534 0.345064i
\(273\) 3203.11 438.890i 0.710114 0.0972997i
\(274\) −143.765 + 69.2334i −0.0316976 + 0.0152647i
\(275\) 6133.73 1.34501
\(276\) −3451.48 −0.752734
\(277\) 5246.78 2526.72i 1.13808 0.548071i 0.232649 0.972561i \(-0.425261\pi\)
0.905433 + 0.424489i \(0.139546\pi\)
\(278\) 12.3548 + 15.4924i 0.00266544 + 0.00334235i
\(279\) −235.675 1032.56i −0.0505716 0.221569i
\(280\) 294.138 + 95.0731i 0.0627789 + 0.0202918i
\(281\) −1938.60 + 8493.57i −0.411556 + 1.80315i 0.165236 + 0.986254i \(0.447162\pi\)
−0.576792 + 0.816891i \(0.695696\pi\)
\(282\) −373.896 + 180.059i −0.0789546 + 0.0380226i
\(283\) −603.995 + 2646.27i −0.126868 + 0.555847i 0.871041 + 0.491211i \(0.163446\pi\)
−0.997909 + 0.0646356i \(0.979411\pi\)
\(284\) −453.698 568.920i −0.0947959 0.118870i
\(285\) −341.814 1497.58i −0.0710431 0.311260i
\(286\) 461.499 578.702i 0.0954162 0.119648i
\(287\) 565.598 + 1500.04i 0.116328 + 0.308518i
\(288\) 455.551 + 571.243i 0.0932070 + 0.116878i
\(289\) −1010.60 + 1267.25i −0.205699 + 0.257938i
\(290\) −161.640 77.8420i −0.0327305 0.0157622i
\(291\) 2838.67 3559.58i 0.571842 0.717067i
\(292\) −97.5555 + 427.419i −0.0195514 + 0.0856602i
\(293\) 5752.13 1.14691 0.573453 0.819239i \(-0.305604\pi\)
0.573453 + 0.819239i \(0.305604\pi\)
\(294\) −133.304 + 314.544i −0.0264437 + 0.0623965i
\(295\) 2619.78 0.517049
\(296\) 388.897 1703.87i 0.0763654 0.334579i
\(297\) 5115.26 6414.33i 0.999386 1.25319i
\(298\) 245.246 + 118.104i 0.0476735 + 0.0229584i
\(299\) 3638.21 4562.17i 0.703690 0.882399i
\(300\) 1971.89 + 2472.67i 0.379490 + 0.475866i
\(301\) 869.008 119.071i 0.166408 0.0228012i
\(302\) −479.107 + 600.782i −0.0912898 + 0.114474i
\(303\) −1170.94 5130.20i −0.222008 0.972681i
\(304\) −4342.50 5445.32i −0.819274 1.02734i
\(305\) 207.856 910.677i 0.0390223 0.170968i
\(306\) −199.245 + 95.9512i −0.0372224 + 0.0179254i
\(307\) −1390.57 + 6092.51i −0.258516 + 1.13263i 0.664323 + 0.747445i \(0.268720\pi\)
−0.922839 + 0.385186i \(0.874137\pi\)
\(308\) −2872.23 7617.53i −0.531365 1.40925i
\(309\) −85.9380 376.519i −0.0158215 0.0693185i
\(310\) −49.5489 62.1324i −0.00907803 0.0113835i
\(311\) −8139.46 + 3919.76i −1.48407 + 0.714691i −0.988124 0.153660i \(-0.950894\pi\)
−0.495948 + 0.868352i \(0.665180\pi\)
\(312\) 766.976 0.139171
\(313\) 7433.40 1.34237 0.671183 0.741292i \(-0.265787\pi\)
0.671183 + 0.741292i \(0.265787\pi\)
\(314\) −593.682 + 285.902i −0.106699 + 0.0513834i
\(315\) −819.418 + 542.697i −0.146568 + 0.0970715i
\(316\) 3117.84 + 1501.47i 0.555039 + 0.267293i
\(317\) 9006.37 + 4337.24i 1.59574 + 0.768466i 0.999412 0.0342783i \(-0.0109133\pi\)
0.596324 + 0.802744i \(0.296628\pi\)
\(318\) −69.9433 306.442i −0.0123340 0.0540390i
\(319\) 2112.87 + 9257.10i 0.370841 + 1.62476i
\(320\) −1653.18 796.128i −0.288798 0.139078i
\(321\) −2194.46 1056.79i −0.381566 0.183752i
\(322\) 217.539 + 576.941i 0.0376490 + 0.0998500i
\(323\) 5790.50 2788.56i 0.997499 0.480370i
\(324\) 1241.64 0.212901
\(325\) −5346.96 −0.912603
\(326\) −35.2779 + 16.9889i −0.00599344 + 0.00288629i
\(327\) 209.385 + 262.560i 0.0354098 + 0.0444025i
\(328\) 84.6272 + 370.776i 0.0142462 + 0.0624167i
\(329\) −5585.78 5324.19i −0.936030 0.892195i
\(330\) 46.7074 204.638i 0.00779138 0.0341363i
\(331\) −821.418 + 395.574i −0.136403 + 0.0656880i −0.500840 0.865540i \(-0.666976\pi\)
0.364438 + 0.931228i \(0.381261\pi\)
\(332\) −2290.17 + 10033.9i −0.378582 + 1.65868i
\(333\) 3464.53 + 4344.39i 0.570136 + 0.714928i
\(334\) 74.1835 + 325.019i 0.0121531 + 0.0532463i
\(335\) −869.495 + 1090.31i −0.141808 + 0.177821i
\(336\) 2126.63 3571.80i 0.345289 0.579933i
\(337\) −3199.37 4011.88i −0.517153 0.648490i 0.452848 0.891588i \(-0.350408\pi\)
−0.970002 + 0.243098i \(0.921836\pi\)
\(338\) −24.3581 + 30.5441i −0.00391984 + 0.00491532i
\(339\) −1003.96 483.482i −0.160849 0.0774606i
\(340\) 1076.88 1350.37i 0.171771 0.215394i
\(341\) −935.918 + 4100.53i −0.148630 + 0.651190i
\(342\) −431.725 −0.0682603
\(343\) −6347.30 255.827i −0.999189 0.0402721i
\(344\) 208.081 0.0326134
\(345\) 368.216 1613.26i 0.0574611 0.251753i
\(346\) 648.834 813.612i 0.100814 0.126416i
\(347\) −6451.18 3106.72i −0.998033 0.480627i −0.137762 0.990465i \(-0.543991\pi\)
−0.860270 + 0.509838i \(0.829705\pi\)
\(348\) −3052.54 + 3827.76i −0.470210 + 0.589625i
\(349\) 364.681 + 457.295i 0.0559339 + 0.0701389i 0.809011 0.587793i \(-0.200003\pi\)
−0.753078 + 0.657932i \(0.771432\pi\)
\(350\) 289.043 485.464i 0.0441428 0.0741404i
\(351\) −4459.13 + 5591.57i −0.678093 + 0.850302i
\(352\) −645.660 2828.82i −0.0977665 0.428343i
\(353\) −3638.13 4562.07i −0.548550 0.687859i 0.427845 0.903852i \(-0.359273\pi\)
−0.976395 + 0.215992i \(0.930701\pi\)
\(354\) −152.837 + 669.621i −0.0229468 + 0.100537i
\(355\) 314.321 151.369i 0.0469928 0.0226305i
\(356\) −136.087 + 596.238i −0.0202602 + 0.0887655i
\(357\) 2776.66 + 2646.62i 0.411642 + 0.392364i
\(358\) 5.52836 + 24.2213i 0.000816154 + 0.00357580i
\(359\) 2.56248 + 3.21324i 0.000376719 + 0.000472391i 0.782020 0.623254i \(-0.214190\pi\)
−0.781643 + 0.623726i \(0.785618\pi\)
\(360\) −210.069 + 101.164i −0.0307544 + 0.0148105i
\(361\) 5687.90 0.829261
\(362\) −951.742 −0.138184
\(363\) −5680.03 + 2735.36i −0.821280 + 0.395507i
\(364\) 2503.81 + 6640.43i 0.360537 + 0.956190i
\(365\) −189.373 91.1970i −0.0271567 0.0130780i
\(366\) 220.645 + 106.257i 0.0315117 + 0.0151752i
\(367\) −1803.34 7900.94i −0.256494 1.12378i −0.924970 0.380041i \(-0.875910\pi\)
0.668475 0.743734i \(-0.266947\pi\)
\(368\) −1669.53 7314.68i −0.236495 1.03615i
\(369\) −1089.43 524.644i −0.153696 0.0740159i
\(370\) 375.654 + 180.906i 0.0527820 + 0.0254185i
\(371\) 4872.94 3227.33i 0.681915 0.451630i
\(372\) −1953.92 + 940.956i −0.272327 + 0.131146i
\(373\) −9756.61 −1.35437 −0.677183 0.735815i \(-0.736799\pi\)
−0.677183 + 0.735815i \(0.736799\pi\)
\(374\) 878.218 0.121421
\(375\) −2910.56 + 1401.65i −0.400802 + 0.193016i
\(376\) −1141.39 1431.25i −0.156549 0.196307i
\(377\) −1841.86 8069.70i −0.251619 1.10242i
\(378\) −266.624 707.121i −0.0362795 0.0962180i
\(379\) −3126.64 + 13698.7i −0.423759 + 1.85661i 0.0860049 + 0.996295i \(0.472590\pi\)
−0.509764 + 0.860314i \(0.670267\pi\)
\(380\) 3037.94 1463.00i 0.410113 0.197500i
\(381\) −923.717 + 4047.07i −0.124209 + 0.544193i
\(382\) −168.217 210.937i −0.0225307 0.0282526i
\(383\) −2004.46 8782.12i −0.267424 1.17166i −0.912999 0.407962i \(-0.866239\pi\)
0.645575 0.763697i \(-0.276618\pi\)
\(384\) 1241.71 1557.05i 0.165014 0.206921i
\(385\) 3866.94 529.847i 0.511889 0.0701390i
\(386\) −83.3070 104.464i −0.0109850 0.0137748i
\(387\) −412.491 + 517.248i −0.0541812 + 0.0679411i
\(388\) 9004.23 + 4336.21i 1.17815 + 0.567365i
\(389\) −7021.72 + 8804.96i −0.915206 + 1.14763i 0.0734291 + 0.997300i \(0.476606\pi\)
−0.988636 + 0.150332i \(0.951966\pi\)
\(390\) −40.7162 + 178.389i −0.00528653 + 0.0231618i
\(391\) 6923.40 0.895476
\(392\) −1483.59 264.539i −0.191155 0.0340848i
\(393\) 8306.43 1.06617
\(394\) 103.337 452.751i 0.0132134 0.0578915i
\(395\) −1034.43 + 1297.13i −0.131766 + 0.165230i
\(396\) 5532.38 + 2664.26i 0.702052 + 0.338091i
\(397\) −4607.50 + 5777.62i −0.582478 + 0.730404i −0.982533 0.186087i \(-0.940419\pi\)
0.400055 + 0.916491i \(0.368991\pi\)
\(398\) −540.577 677.862i −0.0680821 0.0853722i
\(399\) 2642.05 + 7007.07i 0.331499 + 0.879178i
\(400\) −4286.48 + 5375.07i −0.535810 + 0.671884i
\(401\) 1907.38 + 8356.78i 0.237531 + 1.04069i 0.943220 + 0.332170i \(0.107781\pi\)
−0.705688 + 0.708522i \(0.749362\pi\)
\(402\) −227.960 285.853i −0.0282826 0.0354653i
\(403\) 815.869 3574.55i 0.100847 0.441839i
\(404\) 10406.9 5011.72i 1.28159 0.617184i
\(405\) −132.462 + 580.355i −0.0162521 + 0.0712052i
\(406\) 832.234 + 269.000i 0.101732 + 0.0328824i
\(407\) −4910.34 21513.6i −0.598026 2.62012i
\(408\) 567.377 + 711.468i 0.0688464 + 0.0863307i
\(409\) 5580.48 2687.42i 0.674663 0.324900i −0.0649933 0.997886i \(-0.520703\pi\)
0.739656 + 0.672985i \(0.234988\pi\)
\(410\) −90.7307 −0.0109289
\(411\) −2087.66 −0.250551
\(412\) 763.792 367.823i 0.0913334 0.0439838i
\(413\) −12653.4 + 1733.77i −1.50759 + 0.206570i
\(414\) −419.015 201.787i −0.0497427 0.0239548i
\(415\) −4445.62 2140.90i −0.525848 0.253235i
\(416\) 562.842 + 2465.97i 0.0663356 + 0.290635i
\(417\) 57.6892 + 252.753i 0.00677470 + 0.0296819i
\(418\) 1544.69 + 743.885i 0.180750 + 0.0870445i
\(419\) 2949.44 + 1420.38i 0.343889 + 0.165608i 0.597854 0.801605i \(-0.296020\pi\)
−0.253964 + 0.967214i \(0.581735\pi\)
\(420\) 1456.75 + 1388.53i 0.169243 + 0.161317i
\(421\) 8386.32 4038.64i 0.970841 0.467532i 0.119896 0.992787i \(-0.461744\pi\)
0.850945 + 0.525254i \(0.176030\pi\)
\(422\) −705.209 −0.0813484
\(423\) 5820.44 0.669030
\(424\) 1249.24 601.604i 0.143086 0.0689068i
\(425\) −3955.46 4959.99i −0.451454 0.566105i
\(426\) 20.3529 + 89.1719i 0.00231479 + 0.0101418i
\(427\) −401.250 + 4536.10i −0.0454751 + 0.514092i
\(428\) 1189.71 5212.44i 0.134361 0.588675i
\(429\) 8725.07 4201.77i 0.981935 0.472875i
\(430\) −11.0464 + 48.3973i −0.00123884 + 0.00542773i
\(431\) −9615.10 12057.0i −1.07458 1.34748i −0.933945 0.357416i \(-0.883658\pi\)
−0.140633 0.990062i \(-0.544914\pi\)
\(432\) 2046.24 + 8965.16i 0.227893 + 0.998464i
\(433\) 4357.12 5463.66i 0.483580 0.606390i −0.478858 0.877892i \(-0.658949\pi\)
0.962438 + 0.271503i \(0.0875206\pi\)
\(434\) 280.439 + 267.306i 0.0310173 + 0.0295647i
\(435\) −1463.48 1835.15i −0.161307 0.202273i
\(436\) −459.617 + 576.341i −0.0504854 + 0.0633067i
\(437\) 12177.5 + 5864.39i 1.33302 + 0.641949i
\(438\) 34.3580 43.0836i 0.00374815 0.00470003i
\(439\) 1257.65 5510.14i 0.136730 0.599054i −0.859411 0.511286i \(-0.829169\pi\)
0.996141 0.0877682i \(-0.0279735\pi\)
\(440\) 925.927 0.100322
\(441\) 3598.60 3163.50i 0.388576 0.341594i
\(442\) −765.570 −0.0823856
\(443\) −1816.11 + 7956.88i −0.194776 + 0.853370i 0.779210 + 0.626763i \(0.215621\pi\)
−0.973986 + 0.226607i \(0.927237\pi\)
\(444\) 7094.13 8895.75i 0.758271 0.950842i
\(445\) −264.170 127.217i −0.0281412 0.0135521i
\(446\) 242.807 304.470i 0.0257786 0.0323253i
\(447\) 2220.44 + 2784.34i 0.234951 + 0.294619i
\(448\) 8511.67 + 2751.20i 0.897631 + 0.290138i
\(449\) 1985.34 2489.54i 0.208673 0.261668i −0.666470 0.745532i \(-0.732196\pi\)
0.875143 + 0.483864i \(0.160767\pi\)
\(450\) 94.8286 + 415.471i 0.00993391 + 0.0435233i
\(451\) 2993.96 + 3754.30i 0.312594 + 0.391981i
\(452\) 544.288 2384.68i 0.0566398 0.248155i
\(453\) −9057.96 + 4362.08i −0.939471 + 0.452425i
\(454\) −235.149 + 1030.26i −0.0243086 + 0.106503i
\(455\) −3370.93 + 461.884i −0.347322 + 0.0475900i
\(456\) 395.315 + 1731.99i 0.0405972 + 0.177868i
\(457\) −2637.35 3307.14i −0.269957 0.338515i 0.628312 0.777961i \(-0.283746\pi\)
−0.898269 + 0.439446i \(0.855175\pi\)
\(458\) −511.119 + 246.142i −0.0521464 + 0.0251124i
\(459\) −8485.58 −0.862904
\(460\) 3632.31 0.368168
\(461\) −5763.67 + 2775.64i −0.582301 + 0.280421i −0.701755 0.712418i \(-0.747600\pi\)
0.119454 + 0.992840i \(0.461886\pi\)
\(462\) −90.1650 + 1019.31i −0.00907978 + 0.102646i
\(463\) −4446.66 2141.40i −0.446337 0.214944i 0.197194 0.980364i \(-0.436817\pi\)
−0.643531 + 0.765420i \(0.722531\pi\)
\(464\) −9588.69 4617.67i −0.959361 0.462004i
\(465\) −231.363 1013.67i −0.0230735 0.101092i
\(466\) 113.129 + 495.653i 0.0112460 + 0.0492718i
\(467\) 10802.7 + 5202.30i 1.07043 + 0.515490i 0.884244 0.467025i \(-0.154674\pi\)
0.186182 + 0.982515i \(0.440388\pi\)
\(468\) −4822.75 2322.51i −0.476350 0.229398i
\(469\) 3478.06 5841.61i 0.342435 0.575139i
\(470\) 393.486 189.493i 0.0386173 0.0185971i
\(471\) −8621.08 −0.843393
\(472\) −3029.83 −0.295465
\(473\) 2367.12 1139.95i 0.230106 0.110813i
\(474\) −271.201 340.076i −0.0262799 0.0329540i
\(475\) −2755.93 12074.5i −0.266212 1.16635i
\(476\) −4307.64 + 7234.92i −0.414790 + 0.696664i
\(477\) −980.981 + 4297.96i −0.0941636 + 0.412558i
\(478\) −1400.63 + 674.506i −0.134023 + 0.0645423i
\(479\) −2185.14 + 9573.72i −0.208438 + 0.913224i 0.757170 + 0.653218i \(0.226582\pi\)
−0.965607 + 0.260006i \(0.916275\pi\)
\(480\) 447.216 + 560.792i 0.0425261 + 0.0533261i
\(481\) 4280.49 + 18754.1i 0.405767 + 1.77778i
\(482\) 739.151 926.866i 0.0698494 0.0875884i
\(483\) −710.812 + 8035.67i −0.0669629 + 0.757010i
\(484\) −8628.23 10819.5i −0.810314 1.01610i
\(485\) −2987.40 + 3746.08i −0.279692 + 0.350723i
\(486\) 852.015 + 410.309i 0.0795230 + 0.0382962i
\(487\) 1306.14 1637.84i 0.121533 0.152398i −0.717343 0.696720i \(-0.754642\pi\)
0.838876 + 0.544323i \(0.183213\pi\)
\(488\) −240.390 + 1053.22i −0.0222991 + 0.0976986i
\(489\) −512.283 −0.0473747
\(490\) 140.288 331.023i 0.0129338 0.0305186i
\(491\) 14911.0 1.37051 0.685256 0.728302i \(-0.259690\pi\)
0.685256 + 0.728302i \(0.259690\pi\)
\(492\) −550.955 + 2413.89i −0.0504857 + 0.221192i
\(493\) 6123.15 7678.19i 0.559377 0.701436i
\(494\) −1346.56 648.467i −0.122641 0.0590606i
\(495\) −1835.52 + 2301.66i −0.166667 + 0.208994i
\(496\) −2939.30 3685.76i −0.266085 0.333660i
\(497\) −1417.99 + 939.126i −0.127979 + 0.0847597i
\(498\) 806.573 1011.41i 0.0725771 0.0910088i
\(499\) 3489.93 + 15290.4i 0.313088 + 1.37173i 0.849419 + 0.527719i \(0.176953\pi\)
−0.536331 + 0.844008i \(0.680190\pi\)
\(500\) −4421.27 5544.10i −0.395450 0.495879i
\(501\) −970.565 + 4252.32i −0.0865502 + 0.379201i
\(502\) 1802.13 867.862i 0.160225 0.0771605i
\(503\) 655.625 2872.48i 0.0581170 0.254627i −0.937521 0.347929i \(-0.886885\pi\)
0.995638 + 0.0933017i \(0.0297421\pi\)
\(504\) 947.675 627.641i 0.0837555 0.0554710i
\(505\) 1232.28 + 5398.98i 0.108586 + 0.475746i
\(506\) 1151.53 + 1443.97i 0.101169 + 0.126862i
\(507\) −460.512 + 221.771i −0.0403393 + 0.0194264i
\(508\) −9112.11 −0.795836
\(509\) 518.395 0.0451423 0.0225712 0.999745i \(-0.492815\pi\)
0.0225712 + 0.999745i \(0.492815\pi\)
\(510\) −195.599 + 94.1957i −0.0169829 + 0.00817854i
\(511\) 975.017 + 315.151i 0.0844075 + 0.0272827i
\(512\) 4899.21 + 2359.34i 0.422884 + 0.203650i
\(513\) −14925.2 7187.62i −1.28453 0.618599i
\(514\) −9.71963 42.5845i −0.000834074 0.00365432i
\(515\) 90.4404 + 396.245i 0.00773841 + 0.0339042i
\(516\) 1220.53 + 587.778i 0.104130 + 0.0501462i
\(517\) −20825.3 10028.9i −1.77156 0.853137i
\(518\) −1934.12 625.159i −0.164055 0.0530269i
\(519\) 12266.8 5907.38i 1.03748 0.499625i
\(520\) −807.159 −0.0680697
\(521\) −9518.96 −0.800448 −0.400224 0.916417i \(-0.631068\pi\)
−0.400224 + 0.916417i \(0.631068\pi\)
\(522\) −594.369 + 286.233i −0.0498368 + 0.0240002i
\(523\) −46.1753 57.9020i −0.00386062 0.00484106i 0.779897 0.625907i \(-0.215271\pi\)
−0.783758 + 0.621066i \(0.786700\pi\)
\(524\) 4057.29 + 17776.2i 0.338251 + 1.48198i
\(525\) 6162.93 4081.69i 0.512328 0.339313i
\(526\) −31.6588 + 138.706i −0.00262432 + 0.0114979i
\(527\) 3919.40 1887.49i 0.323969 0.156015i
\(528\) 2770.73 12139.4i 0.228372 1.00056i
\(529\) 1492.03 + 1870.94i 0.122629 + 0.153772i
\(530\) 73.6077 + 322.497i 0.00603267 + 0.0264309i
\(531\) 6006.20 7531.54i 0.490861 0.615520i
\(532\) −13704.9 + 9076.74i −1.11689 + 0.739711i
\(533\) −2609.92 3272.74i −0.212098 0.265963i
\(534\) 47.9285 60.1005i 0.00388403 0.00487042i
\(535\) 2309.43 + 1112.16i 0.186627 + 0.0898747i
\(536\) 1005.59 1260.97i 0.0810352 0.101615i
\(537\) −72.3293 + 316.895i −0.00581236 + 0.0254656i
\(538\) 157.473 0.0126192
\(539\) −18326.5 + 5118.29i −1.46453 + 0.409017i
\(540\) −4451.89 −0.354776
\(541\) −2384.88 + 10448.9i −0.189527 + 0.830373i 0.787339 + 0.616520i \(0.211458\pi\)
−0.976866 + 0.213852i \(0.931399\pi\)
\(542\) −1284.15 + 1610.27i −0.101769 + 0.127614i
\(543\) −11218.8 5402.69i −0.886639 0.426983i
\(544\) −1871.14 + 2346.33i −0.147471 + 0.184923i
\(545\) −220.355 276.316i −0.0173192 0.0217176i
\(546\) 78.5996 888.561i 0.00616072 0.0696464i
\(547\) 285.516 358.026i 0.0223177 0.0279855i −0.770547 0.637383i \(-0.780017\pi\)
0.792865 + 0.609397i \(0.208588\pi\)
\(548\) −1019.72 4467.69i −0.0794897 0.348267i
\(549\) −2141.55 2685.41i −0.166483 0.208763i
\(550\) 376.586 1649.93i 0.0291958 0.127915i
\(551\) 17273.7 8318.58i 1.33554 0.643164i
\(552\) −425.850 + 1865.77i −0.0328358 + 0.143863i
\(553\) 4137.81 6949.68i 0.318187 0.534413i
\(554\) −357.539 1566.48i −0.0274194 0.120132i
\(555\) 3401.15 + 4264.90i 0.260127 + 0.326189i
\(556\) −512.725 + 246.915i −0.0391086 + 0.0188337i
\(557\) 8614.08 0.655279 0.327639 0.944803i \(-0.393747\pi\)
0.327639 + 0.944803i \(0.393747\pi\)
\(558\) −292.221 −0.0221697
\(559\) −2063.49 + 993.726i −0.156130 + 0.0751880i
\(560\) −2238.05 + 3758.93i −0.168883 + 0.283650i
\(561\) 10352.1 + 4985.32i 0.779086 + 0.375188i
\(562\) 2165.69 + 1042.94i 0.162552 + 0.0782809i
\(563\) 2109.52 + 9242.42i 0.157914 + 0.691868i 0.990447 + 0.137892i \(0.0440327\pi\)
−0.832533 + 0.553975i \(0.813110\pi\)
\(564\) −2652.04 11619.4i −0.197999 0.867489i
\(565\) 1056.56 + 508.813i 0.0786723 + 0.0378866i
\(566\) 674.747 + 324.941i 0.0501091 + 0.0241313i
\(567\) 255.709 2890.76i 0.0189396 0.214110i
\(568\) −363.520 + 175.062i −0.0268538 + 0.0129321i
\(569\) 13190.6 0.971842 0.485921 0.874003i \(-0.338484\pi\)
0.485921 + 0.874003i \(0.338484\pi\)
\(570\) −423.826 −0.0311441
\(571\) −14188.6 + 6832.87i −1.03989 + 0.500783i −0.874286 0.485411i \(-0.838670\pi\)
−0.165599 + 0.986193i \(0.552956\pi\)
\(572\) 13253.8 + 16619.7i 0.968825 + 1.21487i
\(573\) −785.468 3441.36i −0.0572660 0.250899i
\(574\) 438.226 60.0457i 0.0318662 0.00436631i
\(575\) 2968.80 13007.2i 0.215318 0.943368i
\(576\) −6078.91 + 2927.45i −0.439736 + 0.211766i
\(577\) −3006.51 + 13172.4i −0.216920 + 0.950388i 0.742819 + 0.669493i \(0.233488\pi\)
−0.959739 + 0.280895i \(0.909369\pi\)
\(578\) 278.835 + 349.649i 0.0200658 + 0.0251617i
\(579\) −388.992 1704.28i −0.0279205 0.122328i
\(580\) 3212.46 4028.30i 0.229983 0.288390i
\(581\) 22889.1 + 7398.35i 1.63442 + 0.528288i
\(582\) −783.221 982.128i −0.0557827 0.0699493i
\(583\) 10915.5 13687.6i 0.775428 0.972356i
\(584\) 219.014 + 105.471i 0.0155186 + 0.00747335i
\(585\) 1600.08 2006.43i 0.113085 0.141805i
\(586\) 353.158 1547.29i 0.0248956 0.109075i
\(587\) 14319.0 1.00683 0.503416 0.864044i \(-0.332076\pi\)
0.503416 + 0.864044i \(0.332076\pi\)
\(588\) −7954.99 5742.47i −0.557922 0.402748i
\(589\) 8492.59 0.594111
\(590\) 160.844 704.703i 0.0112235 0.0491732i
\(591\) 3788.20 4750.26i 0.263665 0.330625i
\(592\) 22284.2 + 10731.5i 1.54709 + 0.745038i
\(593\) 5226.83 6554.23i 0.361956 0.453879i −0.567192 0.823585i \(-0.691970\pi\)
0.929149 + 0.369707i \(0.120542\pi\)
\(594\) −1411.36 1769.79i −0.0974894 0.122248i
\(595\) −2922.13 2785.28i −0.201337 0.191908i
\(596\) −4874.05 + 6111.86i −0.334981 + 0.420053i
\(597\) −2524.16 11059.1i −0.173043 0.758152i
\(598\) −1003.82 1258.75i −0.0686444 0.0860774i
\(599\) −893.485 + 3914.62i −0.0609463 + 0.267023i −0.996216 0.0869129i \(-0.972300\pi\)
0.935270 + 0.353936i \(0.115157\pi\)
\(600\) 1579.95 760.864i 0.107502 0.0517702i
\(601\) 5194.81 22760.0i 0.352580 1.54476i −0.418619 0.908162i \(-0.637486\pi\)
0.771199 0.636594i \(-0.219657\pi\)
\(602\) 21.3242 241.068i 0.00144370 0.0163209i
\(603\) 1141.08 + 4999.38i 0.0770617 + 0.337630i
\(604\) −13759.5 17253.8i −0.926928 1.16233i
\(605\) 5977.62 2878.67i 0.401694 0.193446i
\(606\) −1451.88 −0.0973245
\(607\) −14674.0 −0.981217 −0.490608 0.871380i \(-0.663225\pi\)
−0.490608 + 0.871380i \(0.663225\pi\)
\(608\) −5278.57 + 2542.02i −0.352096 + 0.169560i
\(609\) 8283.07 + 7895.17i 0.551144 + 0.525334i
\(610\) −232.205 111.824i −0.0154126 0.00742232i
\(611\) 18154.0 + 8742.52i 1.20202 + 0.578862i
\(612\) −1413.24 6191.82i −0.0933446 0.408970i
\(613\) 674.548 + 2955.39i 0.0444449 + 0.194726i 0.992277 0.124046i \(-0.0395869\pi\)
−0.947832 + 0.318772i \(0.896730\pi\)
\(614\) 1553.47 + 748.111i 0.102106 + 0.0491715i
\(615\) −1069.50 515.045i −0.0701243 0.0337701i
\(616\) −4472.20 + 612.780i −0.292516 + 0.0400805i
\(617\) −26939.7 + 12973.5i −1.75778 + 0.846503i −0.783427 + 0.621484i \(0.786530\pi\)
−0.974355 + 0.225018i \(0.927756\pi\)
\(618\) −106.557 −0.00693587
\(619\) 18888.3 1.22647 0.613235 0.789901i \(-0.289868\pi\)
0.613235 + 0.789901i \(0.289868\pi\)
\(620\) 2056.28 990.254i 0.133197 0.0641445i
\(621\) −11126.4 13952.0i −0.718979 0.901572i
\(622\) 554.659 + 2430.12i 0.0357553 + 0.156654i
\(623\) 1360.12 + 439.628i 0.0874674 + 0.0282718i
\(624\) −2415.33 + 10582.3i −0.154953 + 0.678893i
\(625\) −9389.24 + 4521.62i −0.600911 + 0.289384i
\(626\) 456.381 1999.53i 0.0291384 0.127664i
\(627\) 13985.5 + 17537.3i 0.890795 + 1.11702i
\(628\) −4210.98 18449.5i −0.267574 1.17232i
\(629\) −14230.3 + 17844.2i −0.902064 + 1.13115i
\(630\) 95.6730 + 253.737i 0.00605033 + 0.0160462i
\(631\) 2776.99 + 3482.24i 0.175199 + 0.219692i 0.861676 0.507459i \(-0.169415\pi\)
−0.686477 + 0.727151i \(0.740844\pi\)
\(632\) 1196.34 1500.16i 0.0752971 0.0944196i
\(633\) −8312.76 4003.21i −0.521963 0.251364i
\(634\) 1719.64 2156.37i 0.107722 0.135079i
\(635\) 972.112 4259.10i 0.0607513 0.266169i
\(636\) 9027.00 0.562805
\(637\) 15975.8 4461.77i 0.993695 0.277522i
\(638\) 2619.82 0.162570
\(639\) 285.457 1250.67i 0.0176722 0.0774268i
\(640\) −1306.76 + 1638.63i −0.0807098 + 0.101207i
\(641\) −14167.4 6822.68i −0.872981 0.420405i −0.0569249 0.998378i \(-0.518130\pi\)
−0.816056 + 0.577973i \(0.803844\pi\)
\(642\) −419.002 + 525.411i −0.0257581 + 0.0322996i
\(643\) 2317.55 + 2906.12i 0.142139 + 0.178237i 0.847805 0.530308i \(-0.177924\pi\)
−0.705666 + 0.708544i \(0.749352\pi\)
\(644\) −17543.9 + 2403.87i −1.07349 + 0.147089i
\(645\) −404.944 + 507.784i −0.0247204 + 0.0309984i
\(646\) −394.590 1728.81i −0.0240324 0.105293i
\(647\) 3305.02 + 4144.37i 0.200825 + 0.251827i 0.872038 0.489438i \(-0.162798\pi\)
−0.671213 + 0.741264i \(0.734226\pi\)
\(648\) 153.196 671.194i 0.00928718 0.0406898i
\(649\) −34467.2 + 16598.5i −2.08468 + 1.00393i
\(650\) −328.282 + 1438.30i −0.0198096 + 0.0867917i
\(651\) 1788.32 + 4742.86i 0.107665 + 0.285541i
\(652\) −250.226 1096.31i −0.0150301 0.0658510i
\(653\) 947.444 + 1188.06i 0.0567785 + 0.0711980i 0.809410 0.587244i \(-0.199787\pi\)
−0.752631 + 0.658442i \(0.771216\pi\)
\(654\) 83.4823 40.2029i 0.00499146 0.00240376i
\(655\) −8741.62 −0.521471
\(656\) −5382.24 −0.320337
\(657\) −696.343 + 335.341i −0.0413499 + 0.0199131i
\(658\) −1775.12 + 1175.65i −0.105169 + 0.0696531i
\(659\) −16036.4 7722.71i −0.947934 0.456501i −0.104973 0.994475i \(-0.533476\pi\)
−0.842961 + 0.537974i \(0.819190\pi\)
\(660\) 5431.16 + 2615.51i 0.320315 + 0.154255i
\(661\) −1857.70 8139.10i −0.109313 0.478932i −0.999718 0.0237622i \(-0.992436\pi\)
0.890404 0.455170i \(-0.150422\pi\)
\(662\) 55.9751 + 245.243i 0.00328630 + 0.0143982i
\(663\) −9024.26 4345.86i −0.528617 0.254569i
\(664\) 5141.46 + 2476.00i 0.300493 + 0.144710i
\(665\) −2780.47 7374.18i −0.162139 0.430013i
\(666\) 1381.32 665.209i 0.0803680 0.0387032i
\(667\) 20653.3 1.19895
\(668\) −9574.25 −0.554549
\(669\) 4590.48 2210.66i 0.265289 0.127756i
\(670\) 239.903 + 300.829i 0.0138332 + 0.0173463i
\(671\) 3035.25 + 13298.3i 0.174627 + 0.765089i
\(672\) −2531.17 2412.64i −0.145301 0.138496i
\(673\) 717.915 3145.39i 0.0411197 0.180157i −0.950198 0.311648i \(-0.899119\pi\)
0.991317 + 0.131490i \(0.0419763\pi\)
\(674\) −1275.60 + 614.296i −0.0728994 + 0.0351065i
\(675\) −3638.68 + 15942.1i −0.207486 + 0.909054i
\(676\) −699.538 877.193i −0.0398008 0.0499086i
\(677\) 202.577 + 887.550i 0.0115003 + 0.0503860i 0.980352 0.197254i \(-0.0632023\pi\)
−0.968852 + 0.247640i \(0.920345\pi\)
\(678\) −191.693 + 240.375i −0.0108583 + 0.0136158i
\(679\) 11949.9 20070.5i 0.675396 1.13437i
\(680\) −597.103 748.743i −0.0336733 0.0422250i
\(681\) −8620.25 + 10809.4i −0.485064 + 0.608251i
\(682\) 1045.55 + 503.512i 0.0587042 + 0.0282705i
\(683\) −496.921 + 623.120i −0.0278392 + 0.0349092i −0.795556 0.605880i \(-0.792821\pi\)
0.767717 + 0.640789i \(0.221393\pi\)
\(684\) 2758.97 12087.8i 0.154228 0.675716i
\(685\) 2197.03 0.122547
\(686\) −458.514 + 1691.67i −0.0255192 + 0.0941522i
\(687\) −7422.15 −0.412187
\(688\) −655.282 + 2870.98i −0.0363116 + 0.159092i
\(689\) −9515.39 + 11931.9i −0.526136 + 0.659753i
\(690\) −411.349 198.095i −0.0226953 0.0109295i
\(691\) 11406.8 14303.7i 0.627981 0.787464i −0.361461 0.932387i \(-0.617722\pi\)
0.989443 + 0.144923i \(0.0462935\pi\)
\(692\) 18633.8 + 23366.1i 1.02363 + 1.28359i
\(693\) 7342.24 12331.7i 0.402465 0.675964i
\(694\) −1231.76 + 1544.58i −0.0673734 + 0.0844836i
\(695\) −60.7116 265.995i −0.00331356 0.0145176i
\(696\) 1692.55 + 2122.39i 0.0921780 + 0.115588i
\(697\) 1105.17 4842.08i 0.0600594 0.263137i
\(698\) 145.399 70.0206i 0.00788459 0.00379702i
\(699\) −1480.11 + 6484.77i −0.0800898 + 0.350896i
\(700\) 11745.3 + 11195.3i 0.634187 + 0.604487i
\(701\) 3300.46 + 14460.2i 0.177827 + 0.779110i 0.982631 + 0.185570i \(0.0594130\pi\)
−0.804804 + 0.593540i \(0.797730\pi\)
\(702\) 1230.32 + 1542.78i 0.0661475 + 0.0829464i
\(703\) −40144.3 + 19332.5i −2.15373 + 1.03718i
\(704\) 26794.2 1.43444
\(705\) 5713.95 0.305248
\(706\) −1450.53 + 698.540i −0.0773251 + 0.0372378i
\(707\) −9524.94 25261.4i −0.506679 1.34378i
\(708\) −17771.9 8558.51i −0.943376 0.454306i
\(709\) −17576.1 8464.22i −0.931009 0.448350i −0.0940203 0.995570i \(-0.529972\pi\)
−0.836989 + 0.547220i \(0.815686\pi\)
\(710\) −21.4192 93.8438i −0.00113218 0.00496042i
\(711\) 1357.52 + 5947.70i 0.0716050 + 0.313722i
\(712\) 305.518 + 147.130i 0.0160811 + 0.00774427i
\(713\) 8242.57 + 3969.41i 0.432941 + 0.208493i
\(714\) 882.399 584.410i 0.0462507 0.0306316i
\(715\) −9182.19 + 4421.91i −0.480272 + 0.231287i
\(716\) −713.500 −0.0372413
\(717\) −20339.0 −1.05938
\(718\) 1.02167 0.492009i 5.31034e−5 2.55733e-5i
\(719\) 5497.54 + 6893.70i 0.285151 + 0.357568i 0.903691 0.428185i \(-0.140847\pi\)
−0.618540 + 0.785753i \(0.712275\pi\)
\(720\) −734.254 3216.98i −0.0380056 0.166514i
\(721\) −699.060 1854.00i −0.0361087 0.0957650i
\(722\) 349.214 1530.01i 0.0180006 0.0788657i
\(723\) 13974.3 6729.68i 0.718826 0.346168i
\(724\) 6082.17 26647.7i 0.312213 1.36789i
\(725\) −11799.6 14796.2i −0.604448 0.757954i
\(726\) 387.063 + 1695.83i 0.0197868 + 0.0866918i
\(727\) −12532.0 + 15714.6i −0.639320 + 0.801682i −0.990918 0.134469i \(-0.957067\pi\)
0.351598 + 0.936151i \(0.385638\pi\)
\(728\) 3898.55 534.179i 0.198475 0.0271951i
\(729\) 10351.9 + 12980.9i 0.525933 + 0.659499i
\(730\) −36.1581 + 45.3408i −0.00183325 + 0.00229882i
\(731\) −2448.29 1179.04i −0.123876 0.0596556i
\(732\) −4385.12 + 5498.76i −0.221419 + 0.277651i
\(733\) 1031.93 4521.17i 0.0519988 0.227821i −0.942251 0.334908i \(-0.891295\pi\)
0.994250 + 0.107086i \(0.0341521\pi\)
\(734\) −2236.02 −0.112443
\(735\) 3532.76 3105.62i 0.177290 0.155854i
\(736\) −6311.31 −0.316084
\(737\) 4531.48 19853.7i 0.226485 0.992294i
\(738\) −208.013 + 260.839i −0.0103754 + 0.0130103i
\(739\) 7018.83 + 3380.09i 0.349380 + 0.168253i 0.600340 0.799745i \(-0.295032\pi\)
−0.250960 + 0.967997i \(0.580746\pi\)
\(740\) −7465.80 + 9361.82i −0.370876 + 0.465064i
\(741\) −12191.6 15287.8i −0.604413 0.757911i
\(742\) −568.952 1508.93i −0.0281494 0.0746560i
\(743\) 6638.25 8324.11i 0.327771 0.411012i −0.590454 0.807071i \(-0.701051\pi\)
0.918225 + 0.396060i \(0.129623\pi\)
\(744\) 267.576 + 1172.33i 0.0131852 + 0.0577683i
\(745\) −2336.77 2930.22i −0.114916 0.144100i
\(746\) −599.017 + 2624.46i −0.0293989 + 0.128805i
\(747\) −16347.0 + 7872.31i −0.800677 + 0.385586i
\(748\) −5612.31 + 24589.1i −0.274340 + 1.20196i
\(749\) −11890.5 3843.32i −0.580066 0.187493i
\(750\) 198.338 + 868.977i 0.00965638 + 0.0423074i
\(751\) 20888.6 + 26193.5i 1.01496 + 1.27272i 0.961689 + 0.274141i \(0.0883936\pi\)
0.0532721 + 0.998580i \(0.483035\pi\)
\(752\) 23342.0 11240.9i 1.13191 0.545098i
\(753\) 26169.4 1.26649
\(754\) −2283.78 −0.110305
\(755\) 9532.53 4590.62i 0.459502 0.221285i
\(756\) 21502.5 2946.27i 1.03444 0.141739i
\(757\) 17907.2 + 8623.65i 0.859773 + 0.414045i 0.811196 0.584774i \(-0.198817\pi\)
0.0485773 + 0.998819i \(0.484531\pi\)
\(758\) 3492.90 + 1682.09i 0.167372 + 0.0806019i
\(759\) 5376.92 + 23557.8i 0.257141 + 1.12661i
\(760\) −416.026 1822.73i −0.0198564 0.0869966i
\(761\) −16285.3 7842.59i −0.775745 0.373579i 0.00374575 0.999993i \(-0.498808\pi\)
−0.779491 + 0.626414i \(0.784522\pi\)
\(762\) 1031.92 + 496.947i 0.0490585 + 0.0236253i
\(763\) 1247.17 + 1188.77i 0.0591752 + 0.0564040i
\(764\) 6981.02 3361.88i 0.330582 0.159200i
\(765\) 3044.89 0.143906
\(766\) −2485.40 −0.117234
\(767\) 30046.1 14469.4i 1.41447 0.681175i
\(768\) 8354.04 + 10475.6i 0.392514 + 0.492197i
\(769\) −2207.78 9672.92i −0.103530 0.453595i −0.999946 0.0103814i \(-0.996695\pi\)
0.896416 0.443214i \(-0.146162\pi\)
\(770\) 94.8889 107