Properties

Label 162.3.h.a.5.17
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.17
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.326140 + 1.37609i) q^{2} +(2.81870 - 1.02711i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-1.67736 + 1.24875i) q^{5} +(2.33268 + 3.54381i) q^{6} +(11.2134 - 7.37517i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(6.89011 - 5.79020i) q^{9} +O(q^{10})\) \(q+(0.326140 + 1.37609i) q^{2} +(2.81870 - 1.02711i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-1.67736 + 1.24875i) q^{5} +(2.33268 + 3.54381i) q^{6} +(11.2134 - 7.37517i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(6.89011 - 5.79020i) q^{9} +(-2.26544 - 1.90093i) q^{10} +(-0.585918 + 5.01285i) q^{11} +(-4.11583 + 4.36577i) q^{12} +(6.22356 + 20.7881i) q^{13} +(13.8061 + 13.0253i) q^{14} +(-3.44537 + 5.24266i) q^{15} +(2.38863 - 3.20849i) q^{16} +(-14.1647 - 2.49762i) q^{17} +(10.2150 + 7.59301i) q^{18} +(-1.82333 - 10.3406i) q^{19} +(1.87701 - 3.73743i) q^{20} +(24.0321 - 32.3057i) q^{21} +(-7.08923 + 0.828613i) q^{22} +(11.9313 - 18.1407i) q^{23} +(-7.35004 - 4.23992i) q^{24} +(-5.91592 + 19.7606i) q^{25} +(-26.5767 + 15.3440i) q^{26} +(13.4740 - 23.3977i) q^{27} +(-13.4214 + 23.2465i) q^{28} +(-34.6588 + 32.6989i) q^{29} +(-8.33806 - 3.03130i) q^{30} +(1.69134 - 29.0393i) q^{31} +(5.19421 + 2.24057i) q^{32} +(3.49720 + 14.7315i) q^{33} +(-1.18272 - 20.3066i) q^{34} +(-9.59916 + 26.3735i) q^{35} +(-7.11717 + 16.5332i) q^{36} +(-9.16110 + 3.33437i) q^{37} +(13.6350 - 5.88156i) q^{38} +(38.8940 + 52.2032i) q^{39} +(5.75522 + 1.36401i) q^{40} +(0.224907 - 0.948957i) q^{41} +(52.2935 + 22.5342i) q^{42} +(-21.0778 - 48.8638i) q^{43} +(-3.45233 - 9.48520i) q^{44} +(-4.32668 + 18.3162i) q^{45} +(28.8545 + 10.5022i) q^{46} +(-50.4580 + 2.93884i) q^{47} +(3.43738 - 11.4971i) q^{48} +(51.9393 - 120.409i) q^{49} +(-29.1218 - 1.69615i) q^{50} +(-42.4914 + 7.50863i) q^{51} +(-29.7826 - 31.5677i) q^{52} +(-37.4610 - 21.6281i) q^{53} +(36.5918 + 10.9105i) q^{54} +(-5.27698 - 9.13999i) q^{55} +(-36.3666 - 10.8874i) q^{56} +(-15.7603 - 27.2743i) q^{57} +(-56.3004 - 37.0294i) q^{58} +(12.6403 + 108.145i) q^{59} +(1.45198 - 12.4626i) q^{60} +(-16.0592 - 8.06523i) q^{61} +(40.5123 - 7.14342i) q^{62} +(34.5578 - 115.744i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-36.3982 - 27.0975i) q^{65} +(-19.1313 + 9.61700i) q^{66} +(-51.6722 + 54.7693i) q^{67} +(27.5580 - 8.25032i) q^{68} +(14.9984 - 63.3878i) q^{69} +(-39.4230 - 4.60789i) q^{70} +(61.4436 - 73.2257i) q^{71} +(-25.0724 - 4.40176i) q^{72} +(-24.8487 + 20.8506i) q^{73} +(-7.57621 - 11.5191i) q^{74} +(3.62099 + 61.7753i) q^{75} +(12.5405 + 16.8448i) q^{76} +(30.4004 + 60.5323i) q^{77} +(-59.1516 + 70.5473i) q^{78} +(-21.4865 + 5.09240i) q^{79} +8.36458i q^{80} +(13.9471 - 79.7902i) q^{81} +1.37921 q^{82} +(-0.216366 - 0.912920i) q^{83} +(-13.9542 + 79.3100i) q^{84} +(26.8782 - 13.4987i) q^{85} +(60.3668 - 44.9414i) q^{86} +(-64.1075 + 127.767i) q^{87} +(11.9266 - 7.84424i) q^{88} +(21.9717 + 26.1848i) q^{89} +(-26.6159 + 0.0197422i) q^{90} +(223.103 + 187.206i) q^{91} +(-5.04138 + 43.1317i) q^{92} +(-25.0590 - 83.5901i) q^{93} +(-20.5005 - 68.4765i) q^{94} +(15.9712 + 15.0680i) q^{95} +(16.9422 + 0.980467i) q^{96} +(-25.5987 + 34.3850i) q^{97} +(182.633 + 32.2031i) q^{98} +(24.9883 + 37.9316i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.326140 + 1.37609i 0.163070 + 0.688047i
\(3\) 2.81870 1.02711i 0.939566 0.342369i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) −1.67736 + 1.24875i −0.335471 + 0.249749i −0.751692 0.659515i \(-0.770762\pi\)
0.416220 + 0.909264i \(0.363354\pi\)
\(6\) 2.33268 + 3.54381i 0.388781 + 0.590635i
\(7\) 11.2134 7.37517i 1.60191 1.05360i 0.644610 0.764512i \(-0.277020\pi\)
0.957304 0.289083i \(-0.0933505\pi\)
\(8\) −1.81808 2.16670i −0.227260 0.270838i
\(9\) 6.89011 5.79020i 0.765567 0.643356i
\(10\) −2.26544 1.90093i −0.226544 0.190093i
\(11\) −0.585918 + 5.01285i −0.0532652 + 0.455713i 0.940116 + 0.340853i \(0.110716\pi\)
−0.993382 + 0.114860i \(0.963358\pi\)
\(12\) −4.11583 + 4.36577i −0.342986 + 0.363814i
\(13\) 6.22356 + 20.7881i 0.478735 + 1.59909i 0.767074 + 0.641559i \(0.221712\pi\)
−0.288338 + 0.957529i \(0.593103\pi\)
\(14\) 13.8061 + 13.0253i 0.986147 + 0.930382i
\(15\) −3.44537 + 5.24266i −0.229691 + 0.349511i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) −14.1647 2.49762i −0.833219 0.146919i −0.259265 0.965806i \(-0.583480\pi\)
−0.573954 + 0.818887i \(0.694591\pi\)
\(18\) 10.2150 + 7.59301i 0.567500 + 0.421834i
\(19\) −1.82333 10.3406i −0.0959647 0.544243i −0.994447 0.105234i \(-0.966441\pi\)
0.898483 0.439009i \(-0.144670\pi\)
\(20\) 1.87701 3.73743i 0.0938505 0.186872i
\(21\) 24.0321 32.3057i 1.14439 1.53837i
\(22\) −7.08923 + 0.828613i −0.322238 + 0.0376642i
\(23\) 11.9313 18.1407i 0.518753 0.788725i −0.477182 0.878804i \(-0.658342\pi\)
0.995935 + 0.0900795i \(0.0287121\pi\)
\(24\) −7.35004 4.23992i −0.306252 0.176663i
\(25\) −5.91592 + 19.7606i −0.236637 + 0.790422i
\(26\) −26.5767 + 15.3440i −1.02218 + 0.590156i
\(27\) 13.4740 23.3977i 0.499036 0.866581i
\(28\) −13.4214 + 23.2465i −0.479335 + 0.830232i
\(29\) −34.6588 + 32.6989i −1.19513 + 1.12755i −0.206305 + 0.978488i \(0.566144\pi\)
−0.988828 + 0.149061i \(0.952375\pi\)
\(30\) −8.33806 3.03130i −0.277935 0.101043i
\(31\) 1.69134 29.0393i 0.0545595 0.936750i −0.854335 0.519723i \(-0.826035\pi\)
0.908894 0.417027i \(-0.136928\pi\)
\(32\) 5.19421 + 2.24057i 0.162319 + 0.0700177i
\(33\) 3.49720 + 14.7315i 0.105976 + 0.446409i
\(34\) −1.18272 20.3066i −0.0347860 0.597252i
\(35\) −9.59916 + 26.3735i −0.274262 + 0.753528i
\(36\) −7.11717 + 16.5332i −0.197699 + 0.459255i
\(37\) −9.16110 + 3.33437i −0.247597 + 0.0901181i −0.462838 0.886443i \(-0.653169\pi\)
0.215240 + 0.976561i \(0.430947\pi\)
\(38\) 13.6350 5.88156i 0.358816 0.154778i
\(39\) 38.8940 + 52.2032i 0.997281 + 1.33854i
\(40\) 5.75522 + 1.36401i 0.143881 + 0.0341003i
\(41\) 0.224907 0.948957i 0.00548554 0.0231453i −0.970233 0.242172i \(-0.922140\pi\)
0.975719 + 0.219027i \(0.0702883\pi\)
\(42\) 52.2935 + 22.5342i 1.24508 + 0.536529i
\(43\) −21.0778 48.8638i −0.490181 1.13637i −0.966401 0.257041i \(-0.917253\pi\)
0.476220 0.879326i \(-0.342007\pi\)
\(44\) −3.45233 9.48520i −0.0784621 0.215573i
\(45\) −4.32668 + 18.3162i −0.0961484 + 0.407027i
\(46\) 28.8545 + 10.5022i 0.627273 + 0.228309i
\(47\) −50.4580 + 2.93884i −1.07357 + 0.0625286i −0.585811 0.810447i \(-0.699224\pi\)
−0.487763 + 0.872976i \(0.662187\pi\)
\(48\) 3.43738 11.4971i 0.0716120 0.239524i
\(49\) 51.9393 120.409i 1.05998 2.45732i
\(50\) −29.1218 1.69615i −0.582436 0.0339230i
\(51\) −42.4914 + 7.50863i −0.833165 + 0.147228i
\(52\) −29.7826 31.5677i −0.572741 0.607070i
\(53\) −37.4610 21.6281i −0.706812 0.408078i 0.103068 0.994674i \(-0.467134\pi\)
−0.809879 + 0.586596i \(0.800467\pi\)
\(54\) 36.5918 + 10.9105i 0.677626 + 0.202047i
\(55\) −5.27698 9.13999i −0.0959450 0.166182i
\(56\) −36.3666 10.8874i −0.649404 0.194419i
\(57\) −15.7603 27.2743i −0.276497 0.478497i
\(58\) −56.3004 37.0294i −0.970697 0.638437i
\(59\) 12.6403 + 108.145i 0.214243 + 1.83297i 0.489979 + 0.871734i \(0.337004\pi\)
−0.275736 + 0.961233i \(0.588922\pi\)
\(60\) 1.45198 12.4626i 0.0241997 0.207710i
\(61\) −16.0592 8.06523i −0.263265 0.132217i 0.312271 0.949993i \(-0.398910\pi\)
−0.575536 + 0.817776i \(0.695207\pi\)
\(62\) 40.5123 7.14342i 0.653425 0.115216i
\(63\) 34.5578 115.744i 0.548537 1.83720i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −36.3982 27.0975i −0.559973 0.416884i
\(66\) −19.1313 + 9.61700i −0.289869 + 0.145712i
\(67\) −51.6722 + 54.7693i −0.771226 + 0.817452i −0.987290 0.158927i \(-0.949197\pi\)
0.216064 + 0.976379i \(0.430678\pi\)
\(68\) 27.5580 8.25032i 0.405265 0.121328i
\(69\) 14.9984 63.3878i 0.217367 0.918664i
\(70\) −39.4230 4.60789i −0.563186 0.0658270i
\(71\) 61.4436 73.2257i 0.865403 1.03135i −0.133783 0.991011i \(-0.542712\pi\)
0.999186 0.0403370i \(-0.0128432\pi\)
\(72\) −25.0724 4.40176i −0.348228 0.0611356i
\(73\) −24.8487 + 20.8506i −0.340393 + 0.285624i −0.796919 0.604086i \(-0.793538\pi\)
0.456525 + 0.889710i \(0.349094\pi\)
\(74\) −7.57621 11.5191i −0.102381 0.155663i
\(75\) 3.62099 + 61.7753i 0.0482799 + 0.823671i
\(76\) 12.5405 + 16.8448i 0.165007 + 0.221642i
\(77\) 30.4004 + 60.5323i 0.394811 + 0.786133i
\(78\) −59.1516 + 70.5473i −0.758354 + 0.904452i
\(79\) −21.4865 + 5.09240i −0.271981 + 0.0644608i −0.364343 0.931265i \(-0.618706\pi\)
0.0923619 + 0.995726i \(0.470558\pi\)
\(80\) 8.36458i 0.104557i
\(81\) 13.9471 79.7902i 0.172187 0.985064i
\(82\) 1.37921 0.0168196
\(83\) −0.216366 0.912920i −0.00260682 0.0109990i 0.971726 0.236112i \(-0.0758731\pi\)
−0.974333 + 0.225113i \(0.927725\pi\)
\(84\) −13.9542 + 79.3100i −0.166121 + 0.944167i
\(85\) 26.8782 13.4987i 0.316214 0.158809i
\(86\) 60.3668 44.9414i 0.701940 0.522575i
\(87\) −64.1075 + 127.767i −0.736868 + 1.46858i
\(88\) 11.9266 7.84424i 0.135529 0.0891390i
\(89\) 21.9717 + 26.1848i 0.246873 + 0.294211i 0.875224 0.483719i \(-0.160714\pi\)
−0.628351 + 0.777930i \(0.716270\pi\)
\(90\) −26.6159 + 0.0197422i −0.295733 + 0.000219358i
\(91\) 223.103 + 187.206i 2.45168 + 2.05721i
\(92\) −5.04138 + 43.1317i −0.0547976 + 0.468823i
\(93\) −25.0590 83.5901i −0.269452 0.898818i
\(94\) −20.5005 68.4765i −0.218090 0.728473i
\(95\) 15.9712 + 15.0680i 0.168118 + 0.158611i
\(96\) 16.9422 + 0.980467i 0.176481 + 0.0102132i
\(97\) −25.5987 + 34.3850i −0.263904 + 0.354484i −0.914248 0.405155i \(-0.867217\pi\)
0.650344 + 0.759640i \(0.274625\pi\)
\(98\) 182.633 + 32.2031i 1.86360 + 0.328604i
\(99\) 24.9883 + 37.9316i 0.252408 + 0.383148i
\(100\) −7.16372 40.6275i −0.0716372 0.406275i
\(101\) 27.1890 54.1378i 0.269198 0.536018i −0.717897 0.696149i \(-0.754895\pi\)
0.987096 + 0.160131i \(0.0511916\pi\)
\(102\) −24.1907 56.0233i −0.237164 0.549248i
\(103\) −40.3232 + 4.71311i −0.391487 + 0.0457583i −0.309560 0.950880i \(-0.600182\pi\)
−0.0819276 + 0.996638i \(0.526108\pi\)
\(104\) 33.7268 51.2790i 0.324296 0.493068i
\(105\) 0.0312268 + 84.1982i 0.000297398 + 0.801887i
\(106\) 17.5448 58.6037i 0.165517 0.552865i
\(107\) −139.900 + 80.7711i −1.30747 + 0.754870i −0.981674 0.190569i \(-0.938967\pi\)
−0.325799 + 0.945439i \(0.605633\pi\)
\(108\) −3.07984 + 53.9121i −0.0285170 + 0.499186i
\(109\) −35.2710 + 61.0912i −0.323588 + 0.560470i −0.981225 0.192864i \(-0.938222\pi\)
0.657638 + 0.753334i \(0.271556\pi\)
\(110\) 10.8564 10.2425i 0.0986950 0.0931139i
\(111\) −22.3976 + 18.8080i −0.201780 + 0.169441i
\(112\) 3.12153 53.5947i 0.0278708 0.478524i
\(113\) 32.6495 + 14.0836i 0.288934 + 0.124634i 0.535614 0.844463i \(-0.320080\pi\)
−0.246680 + 0.969097i \(0.579340\pi\)
\(114\) 32.3919 30.5829i 0.284140 0.268271i
\(115\) 2.64003 + 45.3276i 0.0229568 + 0.394153i
\(116\) 32.5940 89.5514i 0.280983 0.771995i
\(117\) 163.248 + 107.197i 1.39529 + 0.916212i
\(118\) −144.695 + 52.6647i −1.22623 + 0.446311i
\(119\) −177.255 + 76.4604i −1.48954 + 0.642524i
\(120\) 17.6232 2.06648i 0.146860 0.0172207i
\(121\) 92.9531 + 22.0303i 0.768207 + 0.182069i
\(122\) 5.86096 24.7293i 0.0480407 0.202699i
\(123\) −0.340735 2.90583i −0.00277020 0.0236246i
\(124\) 23.0427 + 53.4190i 0.185828 + 0.430799i
\(125\) −32.6331 89.6588i −0.261065 0.717271i
\(126\) 170.545 + 9.80616i 1.35353 + 0.0778267i
\(127\) 35.3397 + 12.8626i 0.278265 + 0.101280i 0.477383 0.878695i \(-0.341585\pi\)
−0.199118 + 0.979976i \(0.563808\pi\)
\(128\) −11.2946 + 0.657834i −0.0882388 + 0.00513933i
\(129\) −109.600 116.083i −0.849614 0.899869i
\(130\) 25.4177 58.9249i 0.195521 0.453269i
\(131\) 133.902 + 7.79889i 1.02215 + 0.0595335i 0.561023 0.827800i \(-0.310408\pi\)
0.461128 + 0.887334i \(0.347445\pi\)
\(132\) −19.4734 23.1900i −0.147526 0.175682i
\(133\) −96.7095 102.506i −0.727139 0.770722i
\(134\) −92.2200 53.2433i −0.688209 0.397338i
\(135\) 6.61711 + 56.0718i 0.0490156 + 0.415347i
\(136\) 20.3410 + 35.2316i 0.149566 + 0.259056i
\(137\) 221.802 + 66.4033i 1.61900 + 0.484695i 0.962872 0.269958i \(-0.0870099\pi\)
0.656123 + 0.754654i \(0.272195\pi\)
\(138\) 92.1191 0.0341644i 0.667529 0.000247568i
\(139\) 126.454 + 83.1700i 0.909740 + 0.598345i 0.915799 0.401636i \(-0.131558\pi\)
−0.00605929 + 0.999982i \(0.501929\pi\)
\(140\) −6.51654 55.7526i −0.0465467 0.398233i
\(141\) −139.207 + 60.1094i −0.987286 + 0.426308i
\(142\) 120.805 + 60.6704i 0.850737 + 0.427256i
\(143\) −107.854 + 19.0176i −0.754225 + 0.132990i
\(144\) −2.11987 35.9375i −0.0147213 0.249566i
\(145\) 17.3026 98.1278i 0.119328 0.676744i
\(146\) −36.7965 27.3940i −0.252031 0.187630i
\(147\) 22.7285 392.743i 0.154616 2.67172i
\(148\) 13.3804 14.1824i 0.0904081 0.0958270i
\(149\) −106.939 + 32.0153i −0.717709 + 0.214868i −0.624776 0.780804i \(-0.714810\pi\)
−0.0929334 + 0.995672i \(0.529624\pi\)
\(150\) −83.8276 + 25.1302i −0.558851 + 0.167535i
\(151\) 75.8198 + 8.86206i 0.502118 + 0.0586891i 0.363382 0.931640i \(-0.381622\pi\)
0.138736 + 0.990329i \(0.455696\pi\)
\(152\) −19.0901 + 22.7507i −0.125593 + 0.149675i
\(153\) −112.058 + 64.8077i −0.732407 + 0.423580i
\(154\) −73.3832 + 61.5759i −0.476515 + 0.399843i
\(155\) 33.4257 + 50.8213i 0.215649 + 0.327879i
\(156\) −116.371 58.3898i −0.745970 0.374294i
\(157\) −17.7958 23.9039i −0.113349 0.152254i 0.741828 0.670590i \(-0.233959\pi\)
−0.855177 + 0.518336i \(0.826552\pi\)
\(158\) −14.0152 27.9066i −0.0887040 0.176624i
\(159\) −127.806 22.4867i −0.803809 0.141426i
\(160\) −11.5104 + 2.72803i −0.0719403 + 0.0170502i
\(161\) 291.414i 1.81002i
\(162\) 114.347 6.83021i 0.705849 0.0421618i
\(163\) 259.835 1.59408 0.797041 0.603925i \(-0.206397\pi\)
0.797041 + 0.603925i \(0.206397\pi\)
\(164\) 0.449814 + 1.89791i 0.00274277 + 0.0115727i
\(165\) −24.2619 20.3429i −0.147042 0.123290i
\(166\) 1.18570 0.595480i 0.00714276 0.00358723i
\(167\) 191.172 142.322i 1.14474 0.852229i 0.154011 0.988069i \(-0.450781\pi\)
0.990731 + 0.135841i \(0.0433735\pi\)
\(168\) −113.689 + 6.66394i −0.676720 + 0.0396663i
\(169\) −252.217 + 165.885i −1.49241 + 0.981571i
\(170\) 27.3416 + 32.5844i 0.160833 + 0.191673i
\(171\) −72.4372 60.6905i −0.423609 0.354915i
\(172\) 81.5316 + 68.4132i 0.474021 + 0.397751i
\(173\) 27.1358 232.162i 0.156854 1.34198i −0.653896 0.756584i \(-0.726867\pi\)
0.810751 0.585392i \(-0.199059\pi\)
\(174\) −196.727 46.5481i −1.13061 0.267518i
\(175\) 79.3998 + 265.214i 0.453713 + 1.51551i
\(176\) 14.6841 + 13.8538i 0.0834326 + 0.0787146i
\(177\) 146.706 + 291.845i 0.828846 + 1.64884i
\(178\) −28.8669 + 38.7750i −0.162174 + 0.217837i
\(179\) −58.0498 10.2357i −0.324300 0.0571829i 0.00912795 0.999958i \(-0.497094\pi\)
−0.333428 + 0.942775i \(0.608206\pi\)
\(180\) −8.70769 36.6196i −0.0483761 0.203442i
\(181\) 6.98343 + 39.6050i 0.0385825 + 0.218812i 0.998003 0.0631673i \(-0.0201202\pi\)
−0.959420 + 0.281979i \(0.909009\pi\)
\(182\) −184.850 + 368.066i −1.01566 + 2.02234i
\(183\) −53.5498 6.23895i −0.292622 0.0340926i
\(184\) −60.9975 + 7.12958i −0.331508 + 0.0387477i
\(185\) 11.2027 17.0328i 0.0605549 0.0920693i
\(186\) 106.855 61.7456i 0.574489 0.331966i
\(187\) 20.8196 69.5422i 0.111335 0.371883i
\(188\) 87.5439 50.5435i 0.465659 0.268849i
\(189\) −21.4728 361.740i −0.113613 1.91397i
\(190\) −15.5262 + 26.8921i −0.0817167 + 0.141537i
\(191\) −2.82704 + 2.66718i −0.0148013 + 0.0139643i −0.693607 0.720354i \(-0.743979\pi\)
0.678805 + 0.734318i \(0.262498\pi\)
\(192\) 4.17632 + 23.6338i 0.0217517 + 0.123093i
\(193\) −9.66995 + 166.027i −0.0501034 + 0.860241i 0.875845 + 0.482592i \(0.160305\pi\)
−0.925949 + 0.377649i \(0.876732\pi\)
\(194\) −55.6657 24.0118i −0.286937 0.123772i
\(195\) −130.428 38.9947i −0.668859 0.199973i
\(196\) 15.2495 + 261.823i 0.0778033 + 1.33583i
\(197\) 113.482 311.790i 0.576052 1.58269i −0.218724 0.975787i \(-0.570189\pi\)
0.794776 0.606903i \(-0.207588\pi\)
\(198\) −44.0478 + 46.7573i −0.222463 + 0.236148i
\(199\) −319.783 + 116.392i −1.60695 + 0.584882i −0.980834 0.194847i \(-0.937579\pi\)
−0.626117 + 0.779729i \(0.715357\pi\)
\(200\) 53.5708 23.1082i 0.267854 0.115541i
\(201\) −89.3943 + 207.451i −0.444748 + 1.03209i
\(202\) 83.3661 + 19.7581i 0.412704 + 0.0978125i
\(203\) −147.483 + 622.281i −0.726518 + 3.06542i
\(204\) 69.2037 51.5601i 0.339234 0.252746i
\(205\) 0.807757 + 1.87259i 0.00394028 + 0.00913459i
\(206\) −19.6367 53.9513i −0.0953237 0.261900i
\(207\) −22.8301 194.076i −0.110291 0.937565i
\(208\) 81.5644 + 29.6870i 0.392137 + 0.142726i
\(209\) 52.9042 3.08132i 0.253130 0.0147432i
\(210\) −115.854 + 27.5034i −0.551687 + 0.130968i
\(211\) 73.2816 169.886i 0.347306 0.805147i −0.651608 0.758556i \(-0.725905\pi\)
0.998914 0.0465905i \(-0.0148356\pi\)
\(212\) 86.3661 + 5.03026i 0.407387 + 0.0237276i
\(213\) 97.9805 269.510i 0.460002 1.26531i
\(214\) −156.775 166.172i −0.732595 0.776506i
\(215\) 96.3734 + 55.6412i 0.448248 + 0.258796i
\(216\) −75.1925 + 13.3448i −0.348114 + 0.0617813i
\(217\) −195.204 338.103i −0.899556 1.55808i
\(218\) −95.5706 28.6119i −0.438397 0.131247i
\(219\) −48.6253 + 84.2937i −0.222033 + 0.384903i
\(220\) 17.6354 + 11.5990i 0.0801609 + 0.0527227i
\(221\) −36.2341 310.002i −0.163955 1.40273i
\(222\) −33.1863 24.6872i −0.149488 0.111204i
\(223\) −163.713 82.2198i −0.734139 0.368699i 0.0421199 0.999113i \(-0.486589\pi\)
−0.776259 + 0.630414i \(0.782885\pi\)
\(224\) 74.7693 13.1839i 0.333792 0.0588565i
\(225\) 73.6562 + 170.407i 0.327361 + 0.757363i
\(226\) −8.73207 + 49.5220i −0.0386375 + 0.219124i
\(227\) −258.288 192.289i −1.13783 0.847086i −0.147955 0.988994i \(-0.547269\pi\)
−0.989880 + 0.141908i \(0.954676\pi\)
\(228\) 52.6493 + 34.6000i 0.230918 + 0.151754i
\(229\) 244.344 258.990i 1.06701 1.13096i 0.0760047 0.997107i \(-0.475784\pi\)
0.991001 0.133853i \(-0.0427349\pi\)
\(230\) −61.5139 + 18.4161i −0.267452 + 0.0800698i
\(231\) 147.863 + 139.398i 0.640098 + 0.603453i
\(232\) 133.861 + 15.6461i 0.576988 + 0.0674403i
\(233\) 18.9605 22.5963i 0.0813757 0.0969798i −0.723820 0.689988i \(-0.757616\pi\)
0.805196 + 0.593009i \(0.202060\pi\)
\(234\) −94.2710 + 259.606i −0.402867 + 1.10943i
\(235\) 80.9662 67.9387i 0.344537 0.289101i
\(236\) −119.663 181.938i −0.507044 0.770924i
\(237\) −55.3336 + 36.4229i −0.233475 + 0.153683i
\(238\) −163.027 218.983i −0.684986 0.920096i
\(239\) −3.18225 6.33637i −0.0133148 0.0265120i 0.886877 0.462006i \(-0.152870\pi\)
−0.900192 + 0.435494i \(0.856574\pi\)
\(240\) 8.59131 + 23.5772i 0.0357971 + 0.0982385i
\(241\) −344.946 + 81.7538i −1.43131 + 0.339227i −0.871909 0.489668i \(-0.837118\pi\)
−0.559403 + 0.828895i \(0.688970\pi\)
\(242\) 135.097i 0.558252i
\(243\) −42.6402 239.230i −0.175474 0.984484i
\(244\) 35.9414 0.147301
\(245\) 63.2392 + 266.827i 0.258119 + 1.08909i
\(246\) 3.88756 1.41659i 0.0158031 0.00575849i
\(247\) 203.615 102.259i 0.824350 0.414004i
\(248\) −65.9944 + 49.1310i −0.266106 + 0.198109i
\(249\) −1.54754 2.35101i −0.00621500 0.00944183i
\(250\) 112.736 74.1476i 0.450944 0.296590i
\(251\) 17.5357 + 20.8982i 0.0698632 + 0.0832597i 0.799844 0.600208i \(-0.204915\pi\)
−0.729981 + 0.683468i \(0.760471\pi\)
\(252\) 42.1272 + 237.883i 0.167171 + 0.943982i
\(253\) 83.9456 + 70.4388i 0.331801 + 0.278414i
\(254\) −6.17443 + 52.8257i −0.0243088 + 0.207975i
\(255\) 61.8969 65.6556i 0.242733 0.257473i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) 65.7252 + 62.0085i 0.255740 + 0.241278i 0.803424 0.595407i \(-0.203009\pi\)
−0.547684 + 0.836685i \(0.684491\pi\)
\(258\) 123.996 188.679i 0.480605 0.731315i
\(259\) −78.1356 + 104.954i −0.301682 + 0.405229i
\(260\) 89.3759 + 15.7594i 0.343754 + 0.0606130i
\(261\) −49.4698 + 425.981i −0.189539 + 1.63211i
\(262\) 32.9387 + 186.805i 0.125720 + 0.712995i
\(263\) 59.3005 118.077i 0.225477 0.448962i −0.752240 0.658890i \(-0.771026\pi\)
0.977717 + 0.209927i \(0.0673227\pi\)
\(264\) 25.5606 34.3604i 0.0968203 0.130153i
\(265\) 89.8435 10.5012i 0.339032 0.0396272i
\(266\) 109.517 166.513i 0.411718 0.625987i
\(267\) 88.8261 + 51.2398i 0.332682 + 0.191910i
\(268\) 43.1910 144.268i 0.161161 0.538314i
\(269\) 21.4333 12.3745i 0.0796778 0.0460020i −0.459632 0.888110i \(-0.652019\pi\)
0.539310 + 0.842108i \(0.318685\pi\)
\(270\) −75.0020 + 27.3930i −0.277785 + 0.101456i
\(271\) 82.4448 142.799i 0.304224 0.526932i −0.672864 0.739766i \(-0.734936\pi\)
0.977088 + 0.212834i \(0.0682694\pi\)
\(272\) −41.8480 + 39.4815i −0.153853 + 0.145153i
\(273\) 821.141 + 298.526i 3.00784 + 1.09350i
\(274\) −19.0384 + 326.878i −0.0694834 + 1.19298i
\(275\) −95.5904 41.2337i −0.347601 0.149941i
\(276\) 30.0907 + 126.753i 0.109024 + 0.459251i
\(277\) 12.1473 + 208.561i 0.0438531 + 0.752929i 0.946531 + 0.322612i \(0.104561\pi\)
−0.902678 + 0.430317i \(0.858402\pi\)
\(278\) −73.2080 + 201.137i −0.263338 + 0.723516i
\(279\) −156.490 209.877i −0.560895 0.752247i
\(280\) 74.5954 27.1505i 0.266412 0.0969661i
\(281\) 149.772 64.6054i 0.532997 0.229912i −0.112532 0.993648i \(-0.535896\pi\)
0.645529 + 0.763736i \(0.276637\pi\)
\(282\) −128.117 171.958i −0.454317 0.609781i
\(283\) 281.506 + 66.7182i 0.994722 + 0.235753i 0.695575 0.718454i \(-0.255150\pi\)
0.299147 + 0.954207i \(0.403298\pi\)
\(284\) −44.0888 + 186.025i −0.155242 + 0.655019i
\(285\) 60.4944 + 26.0681i 0.212261 + 0.0914671i
\(286\) −61.3456 142.215i −0.214495 0.497256i
\(287\) −4.47675 12.2998i −0.0155984 0.0428563i
\(288\) 48.7620 14.6378i 0.169313 0.0508257i
\(289\) −77.1697 28.0875i −0.267023 0.0971885i
\(290\) 140.676 8.19345i 0.485090 0.0282533i
\(291\) −36.8379 + 123.213i −0.126591 + 0.423414i
\(292\) 25.6958 59.5696i 0.0879994 0.204006i
\(293\) 49.4481 + 2.88002i 0.168765 + 0.00982944i 0.142319 0.989821i \(-0.454544\pi\)
0.0264457 + 0.999650i \(0.491581\pi\)
\(294\) 547.864 96.8126i 1.86348 0.329295i
\(295\) −156.248 165.613i −0.529655 0.561401i
\(296\) 23.8802 + 13.7872i 0.0806763 + 0.0465785i
\(297\) 109.394 + 81.2521i 0.368331 + 0.273576i
\(298\) −78.9331 136.716i −0.264876 0.458779i
\(299\) 451.366 + 135.130i 1.50959 + 0.451940i
\(300\) −61.9211 107.159i −0.206404 0.357195i
\(301\) −596.732 392.477i −1.98250 1.30391i
\(302\) 12.5328 + 107.225i 0.0414995 + 0.355051i
\(303\) 21.0324 180.524i 0.0694138 0.595789i
\(304\) −37.5331 18.8498i −0.123464 0.0620060i
\(305\) 37.0084 6.52558i 0.121339 0.0213953i
\(306\) −125.728 133.066i −0.410876 0.434857i
\(307\) −35.0455 + 198.753i −0.114155 + 0.647403i 0.873011 + 0.487701i \(0.162164\pi\)
−0.987165 + 0.159702i \(0.948947\pi\)
\(308\) −108.667 80.8998i −0.352816 0.262662i
\(309\) −108.818 + 54.7010i −0.352162 + 0.177026i
\(310\) −59.0333 + 62.5717i −0.190430 + 0.201844i
\(311\) 246.729 73.8658i 0.793341 0.237511i 0.135609 0.990762i \(-0.456701\pi\)
0.657732 + 0.753252i \(0.271516\pi\)
\(312\) 42.3965 179.181i 0.135886 0.574298i
\(313\) 331.531 + 38.7504i 1.05920 + 0.123803i 0.627815 0.778363i \(-0.283950\pi\)
0.431389 + 0.902166i \(0.358024\pi\)
\(314\) 27.0900 32.2846i 0.0862740 0.102817i
\(315\) 86.5684 + 237.297i 0.274820 + 0.753324i
\(316\) 33.8312 28.3877i 0.107061 0.0898346i
\(317\) 280.109 + 425.885i 0.883624 + 1.34348i 0.938604 + 0.344997i \(0.112120\pi\)
−0.0549799 + 0.998487i \(0.517509\pi\)
\(318\) −10.7387 183.206i −0.0337696 0.576120i
\(319\) −143.607 192.898i −0.450180 0.604697i
\(320\) −7.50804 14.9497i −0.0234626 0.0467179i
\(321\) −311.374 + 371.361i −0.970013 + 1.15689i
\(322\) 401.013 95.0418i 1.24538 0.295161i
\(323\) 151.026i 0.467573i
\(324\) 46.6923 + 155.125i 0.144112 + 0.478781i
\(325\) −447.603 −1.37724
\(326\) 84.7428 + 357.558i 0.259947 + 1.09680i
\(327\) −36.6712 + 208.425i −0.112144 + 0.637385i
\(328\) −2.46501 + 1.23797i −0.00751526 + 0.00377431i
\(329\) −544.131 + 405.091i −1.65389 + 1.23128i
\(330\) 20.0809 40.0213i 0.0608511 0.121277i
\(331\) −56.2255 + 36.9801i −0.169865 + 0.111722i −0.631595 0.775298i \(-0.717599\pi\)
0.461730 + 0.887021i \(0.347229\pi\)
\(332\) 1.20614 + 1.43742i 0.00363295 + 0.00432958i
\(333\) −43.8143 + 76.0188i −0.131575 + 0.228285i
\(334\) 258.197 + 216.653i 0.773046 + 0.648663i
\(335\) 18.2797 156.393i 0.0545663 0.466845i
\(336\) −46.2487 154.273i −0.137645 0.459147i
\(337\) 93.9936 + 313.961i 0.278913 + 0.931634i 0.976570 + 0.215202i \(0.0690409\pi\)
−0.697657 + 0.716432i \(0.745774\pi\)
\(338\) −310.532 292.972i −0.918733 0.866780i
\(339\) 106.495 + 6.16297i 0.314143 + 0.0181799i
\(340\) −35.9220 + 48.2517i −0.105653 + 0.141917i
\(341\) 144.578 + 25.4931i 0.423983 + 0.0747597i
\(342\) 59.8911 119.474i 0.175120 0.349339i
\(343\) −191.420 1085.60i −0.558075 3.16500i
\(344\) −67.5522 + 134.507i −0.196373 + 0.391010i
\(345\) 53.9976 + 125.053i 0.156515 + 0.362473i
\(346\) 328.326 38.3759i 0.948920 0.110913i
\(347\) −4.33572 + 6.59215i −0.0124949 + 0.0189975i −0.841681 0.539975i \(-0.818434\pi\)
0.829186 + 0.558972i \(0.188804\pi\)
\(348\) −0.106031 285.896i −0.000304686 0.821539i
\(349\) 76.9463 257.019i 0.220476 0.736443i −0.774158 0.632992i \(-0.781826\pi\)
0.994635 0.103451i \(-0.0329883\pi\)
\(350\) −339.063 + 195.758i −0.968753 + 0.559310i
\(351\) 570.251 + 134.482i 1.62465 + 0.383139i
\(352\) −14.2750 + 24.7250i −0.0405540 + 0.0702415i
\(353\) −64.2174 + 60.5860i −0.181919 + 0.171632i −0.771814 0.635848i \(-0.780650\pi\)
0.589895 + 0.807480i \(0.299169\pi\)
\(354\) −353.760 + 297.063i −0.999321 + 0.839162i
\(355\) −11.6226 + 199.553i −0.0327398 + 0.562121i
\(356\) −62.7727 27.0775i −0.176328 0.0760604i
\(357\) −421.096 + 397.578i −1.17954 + 1.11367i
\(358\) −4.84703 83.2202i −0.0135392 0.232459i
\(359\) −43.0122 + 118.175i −0.119811 + 0.329178i −0.985072 0.172144i \(-0.944931\pi\)
0.865261 + 0.501322i \(0.167153\pi\)
\(360\) 47.5520 23.9257i 0.132089 0.0664603i
\(361\) 235.625 85.7606i 0.652701 0.237564i
\(362\) −52.2226 + 22.5266i −0.144261 + 0.0622282i
\(363\) 284.634 33.3760i 0.784116 0.0919448i
\(364\) −566.780 134.329i −1.55709 0.369037i
\(365\) 15.6431 66.0036i 0.0428579 0.180832i
\(366\) −8.87937 75.7243i −0.0242606 0.206897i
\(367\) −115.298 267.290i −0.314163 0.728312i −1.00000 0.000556501i \(-0.999823\pi\)
0.685837 0.727755i \(-0.259436\pi\)
\(368\) −29.7047 81.6130i −0.0807193 0.221774i
\(369\) −3.94502 7.84068i −0.0106911 0.0212484i
\(370\) 27.0924 + 9.86082i 0.0732227 + 0.0266509i
\(371\) −579.576 + 33.7565i −1.56220 + 0.0909878i
\(372\) 119.817 + 126.905i 0.322090 + 0.341142i
\(373\) −210.379 + 487.714i −0.564019 + 1.30754i 0.362741 + 0.931890i \(0.381841\pi\)
−0.926760 + 0.375654i \(0.877418\pi\)
\(374\) 102.487 + 5.96917i 0.274028 + 0.0159603i
\(375\) −184.072 219.203i −0.490859 0.584542i
\(376\) 98.1042 + 103.984i 0.260915 + 0.276554i
\(377\) −895.451 516.989i −2.37520 1.37132i
\(378\) 490.785 147.527i 1.29837 0.390282i
\(379\) −183.765 318.291i −0.484869 0.839818i 0.514980 0.857202i \(-0.327799\pi\)
−0.999849 + 0.0173845i \(0.994466\pi\)
\(380\) −42.0698 12.5949i −0.110710 0.0331444i
\(381\) 112.823 0.0418429i 0.296123 0.000109824i
\(382\) −4.59230 3.02040i −0.0120217 0.00790681i
\(383\) −63.2072 540.773i −0.165032 1.41194i −0.781179 0.624307i \(-0.785381\pi\)
0.616147 0.787631i \(-0.288693\pi\)
\(384\) −31.1603 + 13.4550i −0.0811466 + 0.0350389i
\(385\) −126.582 63.5718i −0.328784 0.165121i
\(386\) −231.622 + 40.8412i −0.600057 + 0.105806i
\(387\) −428.159 214.632i −1.10635 0.554605i
\(388\) 14.8877 84.4324i 0.0383704 0.217609i
\(389\) 69.5080 + 51.7468i 0.178684 + 0.133025i 0.682785 0.730620i \(-0.260769\pi\)
−0.504101 + 0.863645i \(0.668176\pi\)
\(390\) 11.1228 192.198i 0.0285199 0.492816i
\(391\) −214.312 + 227.158i −0.548113 + 0.580966i
\(392\) −355.319 + 106.376i −0.906427 + 0.271366i
\(393\) 385.439 115.549i 0.980760 0.294017i
\(394\) 466.063 + 54.4750i 1.18290 + 0.138261i
\(395\) 29.6815 35.3730i 0.0751429 0.0895518i
\(396\) −78.7082 45.3644i −0.198758 0.114557i
\(397\) 397.005 333.126i 1.00001 0.839109i 0.0130255 0.999915i \(-0.495854\pi\)
0.986986 + 0.160806i \(0.0514093\pi\)
\(398\) −264.460 402.091i −0.664472 1.01028i
\(399\) −377.879 189.603i −0.947066 0.475195i
\(400\) 49.2706 + 66.1819i 0.123177 + 0.165455i
\(401\) −22.3202 44.4433i −0.0556614 0.110831i 0.864082 0.503351i \(-0.167900\pi\)
−0.919744 + 0.392520i \(0.871603\pi\)
\(402\) −314.627 55.3569i −0.782654 0.137704i
\(403\) 614.198 145.568i 1.52407 0.361210i
\(404\) 121.163i 0.299910i
\(405\) 76.2433 + 151.253i 0.188255 + 0.373464i
\(406\) −904.417 −2.22763
\(407\) −11.3470 47.8769i −0.0278797 0.117634i
\(408\) 93.5216 + 78.4149i 0.229220 + 0.192193i
\(409\) −417.584 + 209.719i −1.02099 + 0.512760i −0.878856 0.477088i \(-0.841692\pi\)
−0.142133 + 0.989848i \(0.545396\pi\)
\(410\) −2.31342 + 1.72228i −0.00564249 + 0.00420067i
\(411\) 693.397 40.6438i 1.68710 0.0988901i
\(412\) 67.8378 44.6176i 0.164655 0.108295i
\(413\) 939.329 + 1119.45i 2.27440 + 2.71053i
\(414\) 259.621 94.7123i 0.627103 0.228774i
\(415\) 1.50293 + 1.26111i 0.00362151 + 0.00303881i
\(416\) −14.2507 + 121.922i −0.0342564 + 0.293083i
\(417\) 441.860 + 104.550i 1.05962 + 0.250718i
\(418\) 21.4944 + 71.7962i 0.0514220 + 0.171761i
\(419\) 303.072 + 285.934i 0.723322 + 0.682419i 0.957063 0.289880i \(-0.0936153\pi\)
−0.233741 + 0.972299i \(0.575097\pi\)
\(420\) −75.6319 150.456i −0.180076 0.358230i
\(421\) −74.4578 + 100.014i −0.176859 + 0.237563i −0.881709 0.471793i \(-0.843607\pi\)
0.704850 + 0.709356i \(0.251014\pi\)
\(422\) 257.679 + 45.4358i 0.610614 + 0.107668i
\(423\) −330.645 + 312.411i −0.781666 + 0.738560i
\(424\) 21.2454 + 120.488i 0.0501070 + 0.284171i
\(425\) 133.152 265.127i 0.313298 0.623829i
\(426\) 402.826 + 46.9322i 0.945602 + 0.110170i
\(427\) −239.560 + 28.0006i −0.561031 + 0.0655752i
\(428\) 177.538 269.933i 0.414808 0.630685i
\(429\) −284.475 + 164.383i −0.663113 + 0.383176i
\(430\) −45.1363 + 150.766i −0.104968 + 0.350618i
\(431\) −693.716 + 400.517i −1.60955 + 0.929274i −0.620078 + 0.784540i \(0.712899\pi\)
−0.989471 + 0.144734i \(0.953767\pi\)
\(432\) −42.8869 99.1197i −0.0992753 0.229444i
\(433\) −117.846 + 204.116i −0.272162 + 0.471399i −0.969415 0.245426i \(-0.921072\pi\)
0.697253 + 0.716825i \(0.254405\pi\)
\(434\) 401.597 378.887i 0.925339 0.873012i
\(435\) −52.0169 294.364i −0.119579 0.676699i
\(436\) 8.20332 140.846i 0.0188149 0.323040i
\(437\) −209.340 90.3007i −0.479040 0.206638i
\(438\) −131.855 39.4214i −0.301038 0.0900032i
\(439\) 37.6991 + 647.269i 0.0858750 + 1.47442i 0.716097 + 0.698001i \(0.245927\pi\)
−0.630222 + 0.776415i \(0.717036\pi\)
\(440\) −10.2097 + 28.0509i −0.0232038 + 0.0637519i
\(441\) −339.324 1130.37i −0.769442 2.56319i
\(442\) 414.775 150.966i 0.938405 0.341551i
\(443\) 661.089 285.166i 1.49230 0.643715i 0.515311 0.857003i \(-0.327676\pi\)
0.976989 + 0.213288i \(0.0684172\pi\)
\(444\) 23.1485 53.7190i 0.0521362 0.120989i
\(445\) −69.5525 16.4843i −0.156298 0.0370433i
\(446\) 59.7487 252.100i 0.133966 0.565246i
\(447\) −268.545 + 200.079i −0.600771 + 0.447604i
\(448\) 42.5275 + 98.5898i 0.0949274 + 0.220066i
\(449\) −46.2946 127.193i −0.103106 0.283282i 0.877403 0.479753i \(-0.159274\pi\)
−0.980509 + 0.196472i \(0.937052\pi\)
\(450\) −210.473 + 156.934i −0.467718 + 0.348743i
\(451\) 4.62520 + 1.68344i 0.0102554 + 0.00373267i
\(452\) −70.9948 + 4.13498i −0.157068 + 0.00914818i
\(453\) 222.815 52.8955i 0.491866 0.116767i
\(454\) 180.369 418.142i 0.397288 0.921018i
\(455\) −607.996 35.4117i −1.33626 0.0778280i
\(456\) −30.4418 + 83.7347i −0.0667583 + 0.183629i
\(457\) 2.26780 + 2.40373i 0.00496237 + 0.00525980i 0.729850 0.683607i \(-0.239590\pi\)
−0.724888 + 0.688867i \(0.758108\pi\)
\(458\) 436.085 + 251.774i 0.952150 + 0.549724i
\(459\) −249.294 + 297.769i −0.543124 + 0.648734i
\(460\) −45.4044 78.6427i −0.0987052 0.170962i
\(461\) −117.738 35.2483i −0.255396 0.0764605i 0.156546 0.987671i \(-0.449964\pi\)
−0.411942 + 0.911210i \(0.635149\pi\)
\(462\) −143.600 + 248.936i −0.310823 + 0.538823i
\(463\) 23.4636 + 15.4323i 0.0506774 + 0.0333310i 0.574595 0.818438i \(-0.305160\pi\)
−0.523918 + 0.851769i \(0.675530\pi\)
\(464\) 22.1270 + 189.308i 0.0476875 + 0.407992i
\(465\) 146.416 + 108.918i 0.314872 + 0.234232i
\(466\) 37.2784 + 18.7219i 0.0799966 + 0.0401758i
\(467\) −491.268 + 86.6238i −1.05197 + 0.185490i −0.672789 0.739834i \(-0.734904\pi\)
−0.379177 + 0.925324i \(0.623793\pi\)
\(468\) −387.988 45.0576i −0.829034 0.0962769i
\(469\) −175.488 + 995.241i −0.374174 + 2.12205i
\(470\) 119.896 + 89.2595i 0.255099 + 0.189914i
\(471\) −74.7127 49.0996i −0.158626 0.104245i
\(472\) 211.337 224.004i 0.447748 0.474585i
\(473\) 257.296 77.0295i 0.543967 0.162853i
\(474\) −68.1678 64.2652i −0.143814 0.135581i
\(475\) 215.123 + 25.1443i 0.452890 + 0.0529353i
\(476\) 248.171 295.759i 0.521368 0.621342i
\(477\) −383.342 + 67.8867i −0.803651 + 0.142320i
\(478\) 7.68158 6.44561i 0.0160703 0.0134845i
\(479\) −131.999 200.695i −0.275573 0.418988i 0.671010 0.741448i \(-0.265861\pi\)
−0.946583 + 0.322460i \(0.895490\pi\)
\(480\) −29.6425 + 19.5119i −0.0617552 + 0.0406498i
\(481\) −126.330 169.691i −0.262640 0.352787i
\(482\) −225.002 448.015i −0.466808 0.929492i
\(483\) −299.313 821.408i −0.619696 1.70064i
\(484\) −185.906 + 44.0606i −0.384104 + 0.0910343i
\(485\) 89.6421i 0.184829i
\(486\) 315.296 136.699i 0.648756 0.281274i
\(487\) 329.267 0.676113 0.338056 0.941126i \(-0.390231\pi\)
0.338056 + 0.941126i \(0.390231\pi\)
\(488\) 11.7219 + 49.4587i 0.0240203 + 0.101350i
\(489\) 732.397 266.879i 1.49775 0.545764i
\(490\) −346.554 + 174.046i −0.707254 + 0.355196i
\(491\) 91.2357 67.9225i 0.185816 0.138335i −0.500231 0.865892i \(-0.666752\pi\)
0.686047 + 0.727557i \(0.259344\pi\)
\(492\) 3.21725 + 4.88764i 0.00653912 + 0.00993423i
\(493\) 572.603 376.607i 1.16147 0.763908i
\(494\) 207.125 + 246.842i 0.419281 + 0.499680i
\(495\) −89.2813 32.4208i −0.180366 0.0654965i
\(496\) −89.1323 74.7908i −0.179702 0.150788i
\(497\) 148.940 1274.27i 0.299679 2.56392i
\(498\) 2.73050 2.89631i 0.00548294 0.00581589i
\(499\) 187.254 + 625.472i 0.375259 + 1.25345i 0.912170 + 0.409813i \(0.134406\pi\)
−0.536911 + 0.843639i \(0.680409\pi\)
\(500\) 138.802 + 130.953i 0.277603 + 0.261905i
\(501\) 392.676 597.517i 0.783784 1.19265i
\(502\) −23.0388 + 30.9464i −0.0458940 + 0.0616463i
\(503\) 130.576 + 23.0241i 0.259595 + 0.0457736i 0.301931 0.953330i \(-0.402369\pi\)
−0.0423359 + 0.999103i \(0.513480\pi\)
\(504\) −313.610 + 135.554i −0.622243 + 0.268957i
\(505\) 21.9987 + 124.761i 0.0435617 + 0.247051i
\(506\) −69.5523 + 138.490i −0.137455 + 0.273696i
\(507\) −540.540 + 726.634i −1.06615 + 1.43320i
\(508\) −74.7068 + 8.73197i −0.147061 + 0.0171889i
\(509\) 16.6410 25.3014i 0.0326935 0.0497081i −0.818771 0.574120i \(-0.805344\pi\)
0.851465 + 0.524412i \(0.175715\pi\)
\(510\) 110.535 + 63.7629i 0.216736 + 0.125025i
\(511\) −124.862 + 417.069i −0.244349 + 0.816182i
\(512\) 19.5959 11.3137i 0.0382733 0.0220971i
\(513\) −266.514 96.6675i −0.519521 0.188436i
\(514\) −63.8939 + 110.667i −0.124307 + 0.215306i
\(515\) 61.7509 58.2590i 0.119905 0.113124i
\(516\) 300.081 + 109.094i 0.581551 + 0.211423i
\(517\) 14.8323 254.660i 0.0286891 0.492573i
\(518\) −169.910 73.2920i −0.328012 0.141490i
\(519\) −161.967 682.265i −0.312075 1.31458i
\(520\) 7.46269 + 128.129i 0.0143513 + 0.246403i
\(521\) −96.0339 + 263.851i −0.184326 + 0.506432i −0.997096 0.0761529i \(-0.975736\pi\)
0.812770 + 0.582585i \(0.197959\pi\)
\(522\) −602.323 + 70.8544i −1.15388 + 0.135736i
\(523\) 286.021 104.103i 0.546885 0.199050i −0.0537768 0.998553i \(-0.517126\pi\)
0.600662 + 0.799503i \(0.294904\pi\)
\(524\) −246.318 + 106.251i −0.470073 + 0.202770i
\(525\) 496.207 + 666.005i 0.945156 + 1.26858i
\(526\) 181.825 + 43.0934i 0.345676 + 0.0819266i
\(527\) −96.4866 + 407.109i −0.183087 + 0.772503i
\(528\) 55.6194 + 23.9674i 0.105340 + 0.0453928i
\(529\) 22.7983 + 52.8523i 0.0430969 + 0.0999099i
\(530\) 43.7522 + 120.208i 0.0825513 + 0.226808i
\(531\) 713.275 + 671.941i 1.34327 + 1.26543i
\(532\) 264.855 + 96.3993i 0.497847 + 0.181202i
\(533\) 21.1268 1.23049i 0.0396375 0.00230862i
\(534\) −41.5411 + 138.944i −0.0777923 + 0.260195i
\(535\) 133.799 310.181i 0.250092 0.579777i
\(536\) 212.613 + 12.3833i 0.396665 + 0.0231031i
\(537\) −174.138 + 30.7718i −0.324279 + 0.0573032i
\(538\) 24.0188 + 25.4584i 0.0446446 + 0.0473205i
\(539\) 573.158 + 330.913i 1.06337 + 0.613939i
\(540\) −62.1565 94.2758i −0.115105 0.174585i
\(541\) 425.255 + 736.563i 0.786054 + 1.36149i 0.928368 + 0.371663i \(0.121212\pi\)
−0.142314 + 0.989822i \(0.545454\pi\)
\(542\) 223.393 + 66.8794i 0.412164 + 0.123394i
\(543\) 60.3627 + 104.462i 0.111165 + 0.192379i
\(544\) −67.9786 44.7102i −0.124961 0.0821879i
\(545\) −17.1253 146.516i −0.0314226 0.268837i
\(546\) −142.993 + 1227.33i −0.261891 + 2.24785i
\(547\) −111.637 56.0660i −0.204089 0.102497i 0.343819 0.939036i \(-0.388279\pi\)
−0.547908 + 0.836539i \(0.684576\pi\)
\(548\) −456.023 + 80.4092i −0.832159 + 0.146732i
\(549\) −157.349 + 37.4156i −0.286610 + 0.0681524i
\(550\) 25.5655 144.989i 0.0464827 0.263617i
\(551\) 401.322 + 298.773i 0.728351 + 0.542237i
\(552\) −164.611 + 82.7470i −0.298208 + 0.149904i
\(553\) −203.380 + 215.570i −0.367775 + 0.389819i
\(554\) −283.038 + 84.7360i −0.510899 + 0.152953i
\(555\) 14.0824 59.5167i 0.0253737 0.107237i
\(556\) −300.660 35.1421i −0.540755 0.0632052i
\(557\) −353.579 + 421.379i −0.634792 + 0.756515i −0.983538 0.180702i \(-0.942163\pi\)
0.348746 + 0.937217i \(0.386608\pi\)
\(558\) 237.773 283.794i 0.426116 0.508591i
\(559\) 884.608 742.274i 1.58248 1.32786i
\(560\) 61.6902 + 93.7954i 0.110161 + 0.167492i
\(561\) −12.7431 217.402i −0.0227151 0.387526i
\(562\) 137.750 + 185.030i 0.245106 + 0.329235i
\(563\) 261.063 + 519.820i 0.463700 + 0.923303i 0.997002 + 0.0773780i \(0.0246548\pi\)
−0.533301 + 0.845925i \(0.679049\pi\)
\(564\) 194.846 232.384i 0.345472 0.412028i
\(565\) −72.3518 + 17.1477i −0.128056 + 0.0303499i
\(566\) 409.138i 0.722859i
\(567\) −432.071 997.582i −0.762030 1.75940i
\(568\) −270.368 −0.475999
\(569\) −76.0155 320.735i −0.133595 0.563681i −0.998131 0.0611105i \(-0.980536\pi\)
0.864536 0.502571i \(-0.167612\pi\)
\(570\) −16.1425 + 91.7477i −0.0283202 + 0.160961i
\(571\) −261.915 + 131.538i −0.458695 + 0.230365i −0.663114 0.748518i \(-0.730766\pi\)
0.204420 + 0.978883i \(0.434469\pi\)
\(572\) 175.694 130.799i 0.307157 0.228670i
\(573\) −5.22910 + 10.4216i −0.00912584 + 0.0181878i
\(574\) 15.4656 10.1719i 0.0269435 0.0177210i
\(575\) 287.885 + 343.088i 0.500670 + 0.596675i
\(576\) 36.0462 + 62.3271i 0.0625803 + 0.108207i
\(577\) −684.317 574.210i −1.18599 0.995165i −0.999920 0.0126282i \(-0.995980\pi\)
−0.186071 0.982536i \(-0.559575\pi\)
\(578\) 13.4829 115.353i 0.0233267 0.199573i
\(579\) 143.270 + 477.911i 0.247444 + 0.825407i
\(580\) 57.1551 + 190.911i 0.0985432 + 0.329157i
\(581\) −9.15914 8.64120i −0.0157644 0.0148730i
\(582\) −181.567 10.5075i −0.311972 0.0180542i
\(583\) 130.368 175.114i 0.223615 0.300367i
\(584\) 90.3538 + 15.9318i 0.154715 + 0.0272805i
\(585\) −407.688 + 24.0485i −0.696902 + 0.0411086i
\(586\) 12.1638 + 68.9845i 0.0207574 + 0.117721i
\(587\) 296.170 589.723i 0.504549 1.00464i −0.486816 0.873505i \(-0.661842\pi\)
0.991365 0.131134i \(-0.0418620\pi\)
\(588\) 311.903 + 722.337i 0.530448 + 1.22846i
\(589\) −303.368 + 35.4586i −0.515056 + 0.0602014i
\(590\) 176.941 269.025i 0.299899 0.455975i
\(591\) −0.369166 995.400i −0.000624647 1.68426i
\(592\) −11.1842 + 37.3579i −0.0188923 + 0.0631046i
\(593\) 619.423 357.624i 1.04456 0.603076i 0.123437 0.992352i \(-0.460608\pi\)
0.921121 + 0.389276i \(0.127275\pi\)
\(594\) −76.1326 + 177.036i −0.128169 + 0.298041i
\(595\) 201.840 349.598i 0.339228 0.587560i
\(596\) 162.391 153.208i 0.272468 0.257060i
\(597\) −781.825 + 656.524i −1.30959 + 1.09970i
\(598\) −38.7431 + 665.193i −0.0647878 + 1.11236i
\(599\) −862.318 371.968i −1.43960 0.620981i −0.473882 0.880588i \(-0.657148\pi\)
−0.965714 + 0.259607i \(0.916407\pi\)
\(600\) 127.265 120.158i 0.212109 0.200263i
\(601\) −11.7912 202.447i −0.0196193 0.336851i −0.993808 0.111114i \(-0.964558\pi\)
0.974188 0.225737i \(-0.0724789\pi\)
\(602\) 345.466 949.161i 0.573865 1.57668i
\(603\) −38.9015 + 676.559i −0.0645133 + 1.12199i
\(604\) −143.465 + 52.2168i −0.237524 + 0.0864517i
\(605\) −183.426 + 79.1221i −0.303183 + 0.130780i
\(606\) 255.278 29.9336i 0.421250 0.0493954i
\(607\) 951.166 + 225.430i 1.56699 + 0.371384i 0.920253 0.391325i \(-0.127983\pi\)
0.646742 + 0.762709i \(0.276131\pi\)
\(608\) 13.6981 57.7967i 0.0225297 0.0950603i
\(609\) 223.438 + 1905.50i 0.366893 + 3.12890i
\(610\) 21.0497 + 48.7988i 0.0345078 + 0.0799980i
\(611\) −375.122 1030.64i −0.613947 1.68681i
\(612\) 142.106 216.412i 0.232200 0.353614i
\(613\) −545.731 198.630i −0.890262 0.324029i −0.143918 0.989590i \(-0.545970\pi\)
−0.746344 + 0.665561i \(0.768192\pi\)
\(614\) −284.932 + 16.5954i −0.464059 + 0.0270283i
\(615\) 4.20017 + 4.44862i 0.00682955 + 0.00723352i
\(616\) 75.8849 175.921i 0.123190 0.285586i
\(617\) 1216.17 + 70.8339i 1.97110 + 0.114804i 0.994817 0.101679i \(-0.0324216\pi\)
0.976286 + 0.216483i \(0.0694587\pi\)
\(618\) −110.764 131.904i −0.179229 0.213436i
\(619\) −305.051 323.336i −0.492813 0.522352i 0.432460 0.901653i \(-0.357646\pi\)
−0.925273 + 0.379302i \(0.876164\pi\)
\(620\) −105.358 60.8282i −0.169932 0.0981101i
\(621\) −263.688 523.592i −0.424618 0.843143i
\(622\) 182.114 + 315.432i 0.292789 + 0.507125i
\(623\) 439.495 + 131.576i 0.705449 + 0.211197i
\(624\) 260.397 0.0965741i 0.417303 0.000154766i
\(625\) −264.144 173.730i −0.422630 0.277968i
\(626\) 54.8013 + 468.855i 0.0875421 + 0.748970i
\(627\) 145.956 63.0236i 0.232785 0.100516i
\(628\) 53.2618 + 26.7491i 0.0848118 + 0.0425941i
\(629\) 138.093 24.3494i 0.219543 0.0387114i
\(630\) −298.309 + 196.518i −0.473507 + 0.311934i
\(631\) −111.325 + 631.353i −0.176426 + 1.00056i 0.760060 + 0.649853i \(0.225170\pi\)
−0.936486 + 0.350706i \(0.885942\pi\)
\(632\) 50.0979 + 37.2965i 0.0792688 + 0.0590134i
\(633\) 32.0679 554.125i 0.0506602 0.875395i
\(634\) −494.702 + 524.354i −0.780288 + 0.827056i
\(635\) −75.3393 + 22.5551i −0.118645 + 0.0355199i
\(636\) 248.607 74.5284i 0.390891 0.117183i
\(637\) 2826.32 + 330.349i 4.43692 + 0.518602i
\(638\) 218.610 260.529i 0.342649 0.408353i
\(639\) −0.638126 860.304i −0.000998632 1.34633i
\(640\) 18.1236 15.2075i 0.0283180 0.0237617i
\(641\) 260.304 + 395.773i 0.406090 + 0.617431i 0.979405 0.201905i \(-0.0647131\pi\)
−0.573315 + 0.819335i \(0.694343\pi\)
\(642\) −612.579 307.364i −0.954173 0.478760i
\(643\) 277.885 + 373.265i 0.432170 + 0.580505i 0.963852 0.266439i \(-0.0858472\pi\)
−0.531682 + 0.846944i \(0.678440\pi\)
\(644\) 261.573 + 520.834i 0.406169 + 0.808749i
\(645\) 328.797 + 57.8500i 0.509762 + 0.0896900i
\(646\) −207.826 + 49.2556i −0.321712 + 0.0762471i
\(647\) 816.667i 1.26224i −0.775687 0.631118i \(-0.782596\pi\)
0.775687 0.631118i \(-0.217404\pi\)
\(648\) −198.239 + 114.846i −0.305924 + 0.177231i
\(649\) −549.521 −0.846719
\(650\) −145.981 615.944i −0.224587 0.947606i
\(651\) −897.487 752.514i −1.37863 1.15594i
\(652\) −464.395 + 233.228i −0.712262 + 0.357711i
\(653\) 304.290 226.536i 0.465988 0.346915i −0.338417 0.940996i \(-0.609892\pi\)
0.804405 + 0.594081i \(0.202484\pi\)
\(654\) −298.772 + 17.5127i −0.456838 + 0.0267778i
\(655\) −234.340 + 154.128i −0.357771 + 0.235309i
\(656\) −2.50750 2.98832i −0.00382241 0.00455537i
\(657\) −50.4815 + 287.542i −0.0768363 + 0.437659i
\(658\) −734.906 616.659i −1.11688 0.937172i
\(659\) −40.1704 + 343.680i −0.0609566 + 0.521517i 0.927920 + 0.372779i \(0.121595\pi\)
−0.988877 + 0.148738i \(0.952479\pi\)
\(660\) 61.6222 + 14.5806i 0.0933670 + 0.0220918i
\(661\) −269.254 899.371i −0.407343 1.36062i −0.878150 0.478385i \(-0.841222\pi\)
0.470807 0.882236i \(-0.343963\pi\)
\(662\) −69.2254 65.3108i −0.104570 0.0986568i
\(663\) −420.538 836.587i −0.634296 1.26182i
\(664\) −1.58465 + 2.12856i −0.00238653 + 0.00320566i
\(665\) 290.220 + 51.1737i 0.436422 + 0.0769529i
\(666\) −118.899 35.4998i −0.178526 0.0533030i
\(667\) 179.655 + 1018.88i 0.269348 + 1.52755i
\(668\) −213.927 + 425.963i −0.320250 + 0.637669i
\(669\) −545.906 63.6020i −0.816003 0.0950703i
\(670\) 221.173 25.8514i 0.330109 0.0385842i
\(671\) 49.8391 75.7767i 0.0742759 0.112931i
\(672\) 197.211 113.957i 0.293469 0.169579i
\(673\) −253.265 + 845.963i −0.376322 + 1.25700i 0.534840 + 0.844954i \(0.320372\pi\)
−0.911162 + 0.412049i \(0.864813\pi\)
\(674\) −401.384 + 231.739i −0.595525 + 0.343827i
\(675\) 382.640 + 404.672i 0.566875 + 0.599514i
\(676\) 301.879 522.870i 0.446567 0.773477i
\(677\) −54.1414 + 51.0797i −0.0799725 + 0.0754501i −0.725190 0.688549i \(-0.758248\pi\)
0.645218 + 0.763999i \(0.276767\pi\)
\(678\) 26.2513 + 148.556i 0.0387187 + 0.219110i
\(679\) −33.4531 + 574.367i −0.0492681 + 0.845901i
\(680\) −78.1144 33.6953i −0.114874 0.0495519i
\(681\) −925.538 276.714i −1.35909 0.406335i
\(682\) 12.0720 + 207.268i 0.0177008 + 0.303911i
\(683\) −225.799 + 620.378i −0.330599 + 0.908313i 0.657357 + 0.753579i \(0.271674\pi\)
−0.987956 + 0.154734i \(0.950548\pi\)
\(684\) 183.940 + 43.4505i 0.268918 + 0.0635242i
\(685\) −454.963 + 165.593i −0.664179 + 0.241741i
\(686\) 1431.45 617.468i 2.08666 0.900098i
\(687\) 422.723 980.982i 0.615317 1.42792i
\(688\) −207.126 49.0898i −0.301055 0.0713515i
\(689\) 216.468 913.349i 0.314177 1.32562i
\(690\) −154.474 + 115.091i −0.223875 + 0.166798i
\(691\) −432.514 1002.68i −0.625925 1.45106i −0.875749 0.482766i \(-0.839632\pi\)
0.249824 0.968291i \(-0.419627\pi\)
\(692\) 159.889 + 439.292i 0.231054 + 0.634815i
\(693\) 559.956 + 241.049i 0.808018 + 0.347834i
\(694\) −10.4855 3.81640i −0.0151087 0.00549913i
\(695\) −315.966 + 18.4029i −0.454628 + 0.0264791i
\(696\) 393.385 93.3880i 0.565208 0.134178i
\(697\) −5.55589 + 12.8800i −0.00797114 + 0.0184792i
\(698\) 378.777 + 22.0612i 0.542660 + 0.0316064i
\(699\) 30.2352 83.1666i 0.0432550 0.118979i
\(700\) −379.964 402.738i −0.542806 0.575340i
\(701\) 164.208 + 94.8057i 0.234249 + 0.135244i 0.612531 0.790447i \(-0.290152\pi\)
−0.378282 + 0.925690i \(0.623485\pi\)
\(702\) 0.921890 + 828.578i 0.00131323 + 1.18031i
\(703\) 51.1831 + 88.6518i 0.0728068 + 0.126105i
\(704\) −38.6796 11.5799i −0.0549426 0.0164487i
\(705\) 158.439 274.660i 0.224736 0.389588i
\(706\) −104.316 68.6096i −0.147756 0.0971807i
\(707\) −94.3940 807.592i −0.133513 1.14228i
\(708\) −524.162 389.922i −0.740342 0.550737i
\(709\) −797.005 400.271i −1.12412 0.564557i −0.213150 0.977019i \(-0.568372\pi\)
−0.910975 + 0.412463i \(0.864669\pi\)
\(710\) −278.394 + 49.0884i −0.392105 + 0.0691386i
\(711\) −118.558 + 159.498i −0.166749 + 0.224330i
\(712\) 16.7885 95.2121i 0.0235793 0.133725i
\(713\) −506.612 377.159i −0.710536 0.528974i
\(714\) −684.441 449.800i −0.958601 0.629973i
\(715\) 157.162 166.582i 0.219807 0.232982i
\(716\) 112.938 33.8114i 0.157735 0.0472226i
\(717\) −15.4779 14.5918i −0.0215870 0.0203512i
\(718\) −176.648 20.6472i −0.246028 0.0287565i
\(719\) −815.418 + 971.777i −1.13410 + 1.35157i −0.206300 + 0.978489i \(0.566142\pi\)
−0.927800 + 0.373079i \(0.878302\pi\)
\(720\) 48.4326 + 57.6329i 0.0672675 + 0.0800457i
\(721\) −417.400 + 350.240i −0.578918 + 0.485770i
\(722\) 194.861 + 296.272i 0.269891 + 0.410349i
\(723\) −888.329 + 584.735i −1.22867 + 0.808763i
\(724\) −48.0306 64.5163i −0.0663406 0.0891109i
\(725\) −441.110 878.322i −0.608428 1.21148i
\(726\) 138.759 + 380.798i 0.191128 + 0.524515i
\(727\) −3.44615 + 0.816752i −0.00474023 + 0.00112345i −0.232985 0.972480i \(-0.574849\pi\)
0.228245 + 0.973604i \(0.426701\pi\)
\(728\) 823.753i 1.13153i
\(729\) −365.904 630.520i −0.501926 0.864911i
\(730\) 95.9289 0.131409
\(731\) 176.518 + 744.787i 0.241474 + 1.01886i
\(732\) 101.308 36.9156i 0.138399 0.0504311i
\(733\) 35.5220 17.8398i 0.0484611 0.0243381i −0.424404 0.905473i \(-0.639516\pi\)
0.472865 + 0.881135i \(0.343220\pi\)
\(734\) 330.213 245.835i 0.449882 0.334925i
\(735\) 452.312 + 687.152i 0.615391 + 0.934901i
\(736\) 102.619 67.4937i 0.139428 0.0917034i
\(737\) −244.274 291.115i −0.331444 0.395000i
\(738\) 9.50287 7.98587i 0.0128765 0.0108210i
\(739\) −541.595 454.452i −0.732875 0.614955i 0.198039 0.980194i \(-0.436543\pi\)
−0.930914 + 0.365239i \(0.880987\pi\)
\(740\) −4.73350 + 40.4977i −0.00639662 + 0.0547266i
\(741\) 468.897 497.371i 0.632789 0.671216i
\(742\) −235.475 786.542i −0.317352 1.06003i
\(743\) −187.459 176.859i −0.252300 0.238033i 0.549692 0.835367i \(-0.314745\pi\)
−0.801992 + 0.597334i \(0.796227\pi\)
\(744\) −135.555 + 206.269i −0.182198 + 0.277243i
\(745\) 139.395 187.240i 0.187108 0.251329i
\(746\) −739.753 130.438i −0.991626 0.174850i
\(747\) −6.77678 5.03732i −0.00907199 0.00674339i
\(748\) 25.2109 + 142.978i 0.0337044 + 0.191147i
\(749\) −973.050 + 1937.50i −1.29913 + 2.58678i
\(750\) 241.611 324.791i 0.322148 0.433055i
\(751\) −456.728 + 53.3838i −0.608159 + 0.0710836i −0.414598 0.910005i \(-0.636078\pi\)
−0.193561 + 0.981088i \(0.562004\pi\)
\(752\) −111.096 + 168.914i −0.147735 + 0.224620i
\(753\) 70.8923 + 40.8947i 0.0941465 + 0.0543090i
\(754\) 419.383 1400.84i 0.556210 1.85787i
\(755\) −138.243 + 79.8148i −0.183104 + 0.105715i
\(756\) 363.075 + 627.252i 0.480258 + 0.829698i
\(757\) 257.446 445.910i 0.340088 0.589049i −0.644361 0.764722i \(-0.722877\pi\)
0.984449 + 0.175672i \(0.0562099\pi\)
\(758\) 378.065 356.686i 0.498766 0.470562i
\(759\) 308.965 + 112.324i 0.407069 + 0.147990i
\(760\) 3.61107 61.9996i 0.00475140 0.0815784i
\(761\) −262.370 113.176i −0.344771 0.148720i 0.216652 0.976249i \(-0.430486\pi\)
−0.561422 + 0.827529i \(0.689746\pi\)
\(762\) 36.8537 + 155.241i 0.0483644 + 0.203729i
\(763\) 55.0499 + 945.170i 0.0721493 + 1.23876i
\(764\) 2.65862 7.30450i 0.00347987 0.00956087i
\(765\) 107.033 248.638i 0.139913 0.325017i
\(766\) 723.539 263.347i 0.944568 0.343795i
\(767\) −2169.47 + 935.817i −2.82851 + 1.22010i
\(768\) −28.6779 38.4913i −0.0373410 0.0501189i
\(769\) 695.078 + 164.736i 0.903872 + 0.214222i 0.656169 0.754614i \(-0.272176\pi\)
0.247704 + 0.968836i \(0.420324\pi\)
\(770\) 46.1973 194.922i 0.0599965 0.253145i
\(771\) 248.949 + 107.276i 0.322891 + 0.139139i