Properties

Label 637.2.w.b.92.13
Level $637$
Weight $2$
Character 637.92
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 92.13
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.b.547.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.165915 + 0.208051i) q^{2} +(2.56994 + 1.23762i) q^{3} +(0.429285 + 1.88082i) q^{4} +(0.602735 + 0.290262i) q^{5} +(-0.683878 + 0.329338i) q^{6} +(1.20359 - 2.35614i) q^{7} +(-0.942039 - 0.453662i) q^{8} +(3.20241 + 4.01570i) q^{9} +O(q^{10})\) \(q+(-0.165915 + 0.208051i) q^{2} +(2.56994 + 1.23762i) q^{3} +(0.429285 + 1.88082i) q^{4} +(0.602735 + 0.290262i) q^{5} +(-0.683878 + 0.329338i) q^{6} +(1.20359 - 2.35614i) q^{7} +(-0.942039 - 0.453662i) q^{8} +(3.20241 + 4.01570i) q^{9} +(-0.160392 + 0.0772407i) q^{10} +(1.73494 - 2.17554i) q^{11} +(-1.22450 + 5.36487i) q^{12} +(0.623490 - 0.781831i) q^{13} +(0.290503 + 0.641326i) q^{14} +(1.18976 + 1.49191i) q^{15} +(-3.22559 + 1.55336i) q^{16} +(-0.144237 + 0.631941i) q^{17} -1.36680 q^{18} +2.53864 q^{19} +(-0.287185 + 1.25824i) q^{20} +(6.00914 - 4.56554i) q^{21} +(0.164771 + 0.721910i) q^{22} +(-0.353971 - 1.55085i) q^{23} +(-1.85952 - 2.33177i) q^{24} +(-2.83841 - 3.55926i) q^{25} +(0.0592144 + 0.259435i) q^{26} +(1.35594 + 5.94076i) q^{27} +(4.94815 + 1.25228i) q^{28} +(-2.19972 + 9.63760i) q^{29} -0.507791 q^{30} -7.31704 q^{31} +(0.677324 - 2.96755i) q^{32} +(7.15116 - 3.44382i) q^{33} +(-0.107545 - 0.134857i) q^{34} +(1.40934 - 1.07077i) q^{35} +(-6.17805 + 7.74703i) q^{36} +(1.26917 - 5.56059i) q^{37} +(-0.421198 + 0.528166i) q^{38} +(2.56994 - 1.23762i) q^{39} +(-0.436119 - 0.546876i) q^{40} +(-9.08059 - 4.37298i) q^{41} +(-0.0471416 + 2.00770i) q^{42} +(-7.71265 + 3.71422i) q^{43} +(4.83658 + 2.32917i) q^{44} +(0.764602 + 3.34994i) q^{45} +(0.381384 + 0.183665i) q^{46} +(-5.45509 + 6.84046i) q^{47} -10.2120 q^{48} +(-4.10275 - 5.67163i) q^{49} +1.21144 q^{50} +(-1.15278 + 1.44554i) q^{51} +(1.73814 + 0.837043i) q^{52} +(-0.642549 - 2.81519i) q^{53} +(-1.46095 - 0.703556i) q^{54} +(1.67718 - 0.807689i) q^{55} +(-2.20272 + 1.67355i) q^{56} +(6.52414 + 3.14186i) q^{57} +(-1.64014 - 2.05667i) q^{58} +(-1.54800 + 0.745477i) q^{59} +(-2.29526 + 2.87817i) q^{60} +(2.50648 - 10.9816i) q^{61} +(1.21401 - 1.52232i) q^{62} +(13.3159 - 2.71207i) q^{63} +(-3.95933 - 4.96485i) q^{64} +(0.602735 - 0.290262i) q^{65} +(-0.469996 + 2.05919i) q^{66} -1.13289 q^{67} -1.25049 q^{68} +(1.00967 - 4.42366i) q^{69} +(-0.0110562 + 0.470871i) q^{70} +(-1.00968 - 4.42372i) q^{71} +(-1.19503 - 5.23576i) q^{72} +(8.12667 + 10.1905i) q^{73} +(0.946311 + 1.18664i) q^{74} +(-2.88955 - 12.6599i) q^{75} +(1.08980 + 4.77472i) q^{76} +(-3.03772 - 6.70620i) q^{77} +(-0.168904 + 0.740017i) q^{78} +11.3252 q^{79} -2.39506 q^{80} +(-0.438916 + 1.92302i) q^{81} +(2.41641 - 1.16368i) q^{82} +(4.49089 + 5.63140i) q^{83} +(11.1666 + 9.34218i) q^{84} +(-0.270365 + 0.339027i) q^{85} +(0.506899 - 2.22087i) q^{86} +(-17.5808 + 22.0456i) q^{87} +(-2.62134 + 1.26237i) q^{88} +(6.77081 + 8.49033i) q^{89} +(-0.823816 - 0.396729i) q^{90} +(-1.09168 - 2.41003i) q^{91} +(2.76491 - 1.33151i) q^{92} +(-18.8043 - 9.05570i) q^{93} +(-0.518083 - 2.26987i) q^{94} +(1.53012 + 0.736869i) q^{95} +(5.41337 - 6.78815i) q^{96} +8.46867 q^{97} +(1.86070 + 0.0874280i) q^{98} +14.2923 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} + O(q^{10}) \) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.165915 + 0.208051i −0.117320 + 0.147114i −0.837023 0.547167i \(-0.815706\pi\)
0.719704 + 0.694281i \(0.244278\pi\)
\(3\) 2.56994 + 1.23762i 1.48375 + 0.714538i 0.988076 0.153968i \(-0.0492053\pi\)
0.495678 + 0.868506i \(0.334920\pi\)
\(4\) 0.429285 + 1.88082i 0.214642 + 0.940409i
\(5\) 0.602735 + 0.290262i 0.269551 + 0.129809i 0.563777 0.825927i \(-0.309348\pi\)
−0.294226 + 0.955736i \(0.595062\pi\)
\(6\) −0.683878 + 0.329338i −0.279192 + 0.134452i
\(7\) 1.20359 2.35614i 0.454913 0.890536i
\(8\) −0.942039 0.453662i −0.333061 0.160394i
\(9\) 3.20241 + 4.01570i 1.06747 + 1.33857i
\(10\) −0.160392 + 0.0772407i −0.0507204 + 0.0244256i
\(11\) 1.73494 2.17554i 0.523103 0.655950i −0.448162 0.893953i \(-0.647921\pi\)
0.971265 + 0.238002i \(0.0764925\pi\)
\(12\) −1.22450 + 5.36487i −0.353482 + 1.54871i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) 0.290503 + 0.641326i 0.0776401 + 0.171402i
\(15\) 1.18976 + 1.49191i 0.307194 + 0.385209i
\(16\) −3.22559 + 1.55336i −0.806398 + 0.388341i
\(17\) −0.144237 + 0.631941i −0.0349825 + 0.153268i −0.989403 0.145198i \(-0.953618\pi\)
0.954420 + 0.298467i \(0.0964751\pi\)
\(18\) −1.36680 −0.322157
\(19\) 2.53864 0.582404 0.291202 0.956662i \(-0.405945\pi\)
0.291202 + 0.956662i \(0.405945\pi\)
\(20\) −0.287185 + 1.25824i −0.0642165 + 0.281351i
\(21\) 6.00914 4.56554i 1.31130 0.996283i
\(22\) 0.164771 + 0.721910i 0.0351293 + 0.153912i
\(23\) −0.353971 1.55085i −0.0738080 0.323374i 0.924523 0.381126i \(-0.124464\pi\)
−0.998331 + 0.0577525i \(0.981607\pi\)
\(24\) −1.85952 2.33177i −0.379573 0.475970i
\(25\) −2.83841 3.55926i −0.567682 0.711851i
\(26\) 0.0592144 + 0.259435i 0.0116129 + 0.0508794i
\(27\) 1.35594 + 5.94076i 0.260951 + 1.14330i
\(28\) 4.94815 + 1.25228i 0.935112 + 0.236658i
\(29\) −2.19972 + 9.63760i −0.408477 + 1.78966i 0.182758 + 0.983158i \(0.441497\pi\)
−0.591236 + 0.806499i \(0.701360\pi\)
\(30\) −0.507791 −0.0927096
\(31\) −7.31704 −1.31418 −0.657090 0.753812i \(-0.728213\pi\)
−0.657090 + 0.753812i \(0.728213\pi\)
\(32\) 0.677324 2.96755i 0.119735 0.524594i
\(33\) 7.15116 3.44382i 1.24486 0.599492i
\(34\) −0.107545 0.134857i −0.0184438 0.0231278i
\(35\) 1.40934 1.07077i 0.238222 0.180993i
\(36\) −6.17805 + 7.74703i −1.02968 + 1.29117i
\(37\) 1.26917 5.56059i 0.208650 0.914155i −0.756817 0.653627i \(-0.773246\pi\)
0.965466 0.260527i \(-0.0838965\pi\)
\(38\) −0.421198 + 0.528166i −0.0683274 + 0.0856798i
\(39\) 2.56994 1.23762i 0.411519 0.198177i
\(40\) −0.436119 0.546876i −0.0689564 0.0864686i
\(41\) −9.08059 4.37298i −1.41815 0.682945i −0.441397 0.897312i \(-0.645517\pi\)
−0.976753 + 0.214367i \(0.931231\pi\)
\(42\) −0.0471416 + 2.00770i −0.00727410 + 0.309795i
\(43\) −7.71265 + 3.71422i −1.17617 + 0.566413i −0.916793 0.399364i \(-0.869231\pi\)
−0.259376 + 0.965776i \(0.583517\pi\)
\(44\) 4.83658 + 2.32917i 0.729142 + 0.351136i
\(45\) 0.764602 + 3.34994i 0.113980 + 0.499379i
\(46\) 0.381384 + 0.183665i 0.0562320 + 0.0270799i
\(47\) −5.45509 + 6.84046i −0.795706 + 0.997784i 0.204117 + 0.978947i \(0.434568\pi\)
−0.999823 + 0.0188371i \(0.994004\pi\)
\(48\) −10.2120 −1.47398
\(49\) −4.10275 5.67163i −0.586107 0.810233i
\(50\) 1.21144 0.171324
\(51\) −1.15278 + 1.44554i −0.161421 + 0.202416i
\(52\) 1.73814 + 0.837043i 0.241036 + 0.116077i
\(53\) −0.642549 2.81519i −0.0882610 0.386697i 0.911433 0.411449i \(-0.134977\pi\)
−0.999694 + 0.0247528i \(0.992120\pi\)
\(54\) −1.46095 0.703556i −0.198810 0.0957419i
\(55\) 1.67718 0.807689i 0.226151 0.108909i
\(56\) −2.20272 + 1.67355i −0.294350 + 0.223637i
\(57\) 6.52414 + 3.14186i 0.864144 + 0.416150i
\(58\) −1.64014 2.05667i −0.215361 0.270055i
\(59\) −1.54800 + 0.745477i −0.201532 + 0.0970528i −0.531928 0.846790i \(-0.678532\pi\)
0.330395 + 0.943843i \(0.392818\pi\)
\(60\) −2.29526 + 2.87817i −0.296317 + 0.371570i
\(61\) 2.50648 10.9816i 0.320921 1.40605i −0.514996 0.857193i \(-0.672206\pi\)
0.835917 0.548856i \(-0.184936\pi\)
\(62\) 1.21401 1.52232i 0.154179 0.193334i
\(63\) 13.3159 2.71207i 1.67765 0.341689i
\(64\) −3.95933 4.96485i −0.494917 0.620606i
\(65\) 0.602735 0.290262i 0.0747600 0.0360025i
\(66\) −0.469996 + 2.05919i −0.0578525 + 0.253468i
\(67\) −1.13289 −0.138404 −0.0692022 0.997603i \(-0.522045\pi\)
−0.0692022 + 0.997603i \(0.522045\pi\)
\(68\) −1.25049 −0.151644
\(69\) 1.00967 4.42366i 0.121550 0.532546i
\(70\) −0.0110562 + 0.470871i −0.00132147 + 0.0562799i
\(71\) −1.00968 4.42372i −0.119828 0.524999i −0.998838 0.0481960i \(-0.984653\pi\)
0.879010 0.476803i \(-0.158204\pi\)
\(72\) −1.19503 5.23576i −0.140835 0.617040i
\(73\) 8.12667 + 10.1905i 0.951154 + 1.19271i 0.981167 + 0.193160i \(0.0618737\pi\)
−0.0300130 + 0.999550i \(0.509555\pi\)
\(74\) 0.946311 + 1.18664i 0.110006 + 0.137944i
\(75\) −2.88955 12.6599i −0.333656 1.46184i
\(76\) 1.08980 + 4.77472i 0.125008 + 0.547698i
\(77\) −3.03772 6.70620i −0.346181 0.764243i
\(78\) −0.168904 + 0.740017i −0.0191246 + 0.0837904i
\(79\) 11.3252 1.27418 0.637090 0.770789i \(-0.280138\pi\)
0.637090 + 0.770789i \(0.280138\pi\)
\(80\) −2.39506 −0.267776
\(81\) −0.438916 + 1.92302i −0.0487685 + 0.213669i
\(82\) 2.41641 1.16368i 0.266848 0.128507i
\(83\) 4.49089 + 5.63140i 0.492940 + 0.618127i 0.964620 0.263643i \(-0.0849239\pi\)
−0.471681 + 0.881769i \(0.656353\pi\)
\(84\) 11.1666 + 9.34218i 1.21837 + 1.01932i
\(85\) −0.270365 + 0.339027i −0.0293252 + 0.0367726i
\(86\) 0.506899 2.22087i 0.0546603 0.239482i
\(87\) −17.5808 + 22.0456i −1.88486 + 2.36354i
\(88\) −2.62134 + 1.26237i −0.279436 + 0.134569i
\(89\) 6.77081 + 8.49033i 0.717705 + 0.899973i 0.998206 0.0598804i \(-0.0190719\pi\)
−0.280501 + 0.959854i \(0.590501\pi\)
\(90\) −0.823816 0.396729i −0.0868379 0.0418189i
\(91\) −1.09168 2.41003i −0.114439 0.252640i
\(92\) 2.76491 1.33151i 0.288261 0.138819i
\(93\) −18.8043 9.05570i −1.94992 0.939032i
\(94\) −0.518083 2.26987i −0.0534362 0.234119i
\(95\) 1.53012 + 0.736869i 0.156988 + 0.0756012i
\(96\) 5.41337 6.78815i 0.552500 0.692813i
\(97\) 8.46867 0.859863 0.429931 0.902862i \(-0.358538\pi\)
0.429931 + 0.902862i \(0.358538\pi\)
\(98\) 1.86070 + 0.0874280i 0.187959 + 0.00883156i
\(99\) 14.2923 1.43643
\(100\) 5.47583 6.86647i 0.547583 0.686647i
\(101\) 4.16594 + 2.00621i 0.414527 + 0.199626i 0.629510 0.776992i \(-0.283256\pi\)
−0.214984 + 0.976618i \(0.568970\pi\)
\(102\) −0.109482 0.479674i −0.0108404 0.0474948i
\(103\) −2.44783 1.17881i −0.241192 0.116152i 0.309384 0.950937i \(-0.399877\pi\)
−0.550575 + 0.834786i \(0.685592\pi\)
\(104\) −0.942039 + 0.453662i −0.0923745 + 0.0444852i
\(105\) 4.94712 1.00759i 0.482789 0.0983304i
\(106\) 0.692312 + 0.333400i 0.0672433 + 0.0323827i
\(107\) 8.97906 + 11.2594i 0.868038 + 1.08849i 0.995321 + 0.0966193i \(0.0308029\pi\)
−0.127283 + 0.991866i \(0.540626\pi\)
\(108\) −10.5914 + 5.10055i −1.01916 + 0.490801i
\(109\) 11.2830 14.1485i 1.08072 1.35518i 0.150315 0.988638i \(-0.451971\pi\)
0.930403 0.366539i \(-0.119457\pi\)
\(110\) −0.110229 + 0.482947i −0.0105100 + 0.0460472i
\(111\) 10.1436 12.7196i 0.962784 1.20729i
\(112\) −0.222349 + 9.46954i −0.0210100 + 0.894788i
\(113\) 3.54333 + 4.44320i 0.333329 + 0.417981i 0.920046 0.391811i \(-0.128151\pi\)
−0.586717 + 0.809792i \(0.699580\pi\)
\(114\) −1.73612 + 0.836071i −0.162602 + 0.0783052i
\(115\) 0.236801 1.03749i 0.0220818 0.0967467i
\(116\) −19.0709 −1.77069
\(117\) 5.13627 0.474848
\(118\) 0.101739 0.445748i 0.00936584 0.0410344i
\(119\) 1.31534 + 1.10044i 0.120577 + 0.100877i
\(120\) −0.443975 1.94518i −0.0405292 0.177570i
\(121\) 0.724754 + 3.17535i 0.0658867 + 0.288669i
\(122\) 1.86887 + 2.34349i 0.169199 + 0.212169i
\(123\) −17.9245 22.4766i −1.61620 2.02664i
\(124\) −3.14109 13.7620i −0.282079 1.23587i
\(125\) −1.42201 6.23023i −0.127188 0.557249i
\(126\) −1.64506 + 3.22036i −0.146554 + 0.286893i
\(127\) −2.35536 + 10.3195i −0.209004 + 0.915707i 0.756227 + 0.654309i \(0.227040\pi\)
−0.965231 + 0.261398i \(0.915817\pi\)
\(128\) 7.77759 0.687448
\(129\) −24.4178 −2.14987
\(130\) −0.0396135 + 0.173558i −0.00347434 + 0.0152221i
\(131\) 4.88445 2.35223i 0.426757 0.205515i −0.208162 0.978094i \(-0.566748\pi\)
0.634918 + 0.772579i \(0.281034\pi\)
\(132\) 9.54708 + 11.9717i 0.830967 + 1.04200i
\(133\) 3.05547 5.98138i 0.264943 0.518651i
\(134\) 0.187963 0.235698i 0.0162375 0.0203612i
\(135\) −0.907103 + 3.97428i −0.0780710 + 0.342051i
\(136\) 0.422564 0.529879i 0.0362346 0.0454367i
\(137\) 0.856778 0.412602i 0.0731995 0.0352510i −0.396926 0.917851i \(-0.629923\pi\)
0.470125 + 0.882600i \(0.344209\pi\)
\(138\) 0.752826 + 0.944014i 0.0640848 + 0.0803598i
\(139\) −9.52582 4.58739i −0.807969 0.389098i −0.0161627 0.999869i \(-0.505145\pi\)
−0.791807 + 0.610772i \(0.790859\pi\)
\(140\) 2.61893 + 2.19105i 0.221340 + 0.185177i
\(141\) −22.4851 + 10.8282i −1.89359 + 0.911903i
\(142\) 1.08788 + 0.523895i 0.0912929 + 0.0439643i
\(143\) −0.619192 2.71286i −0.0517794 0.226860i
\(144\) −16.5675 7.97850i −1.38063 0.664875i
\(145\) −4.12327 + 5.17042i −0.342419 + 0.429380i
\(146\) −3.46848 −0.287054
\(147\) −3.52451 19.6534i −0.290697 1.62098i
\(148\) 11.0033 0.904465
\(149\) −11.5527 + 14.4866i −0.946431 + 1.18679i 0.0358475 + 0.999357i \(0.488587\pi\)
−0.982278 + 0.187429i \(0.939984\pi\)
\(150\) 3.11333 + 1.49930i 0.254202 + 0.122417i
\(151\) 0.298833 + 1.30927i 0.0243187 + 0.106547i 0.985631 0.168915i \(-0.0540263\pi\)
−0.961312 + 0.275462i \(0.911169\pi\)
\(152\) −2.39150 1.15168i −0.193976 0.0934139i
\(153\) −2.99959 + 1.44453i −0.242503 + 0.116783i
\(154\) 1.89923 + 0.480659i 0.153045 + 0.0387326i
\(155\) −4.41024 2.12386i −0.354239 0.170592i
\(156\) 3.43097 + 4.30230i 0.274697 + 0.344459i
\(157\) 9.79268 4.71591i 0.781541 0.376370i −0.000179052 1.00000i \(-0.500057\pi\)
0.781720 + 0.623630i \(0.214343\pi\)
\(158\) −1.87901 + 2.35621i −0.149486 + 0.187450i
\(159\) 1.83282 8.03010i 0.145352 0.636828i
\(160\) 1.26961 1.59204i 0.100372 0.125862i
\(161\) −4.08004 1.03258i −0.321552 0.0813785i
\(162\) −0.327263 0.410374i −0.0257122 0.0322421i
\(163\) 9.64924 4.64683i 0.755787 0.363968i −0.0159809 0.999872i \(-0.505087\pi\)
0.771768 + 0.635905i \(0.219373\pi\)
\(164\) 4.32663 18.9562i 0.337853 1.48023i
\(165\) 5.30986 0.413372
\(166\) −1.91672 −0.148767
\(167\) 2.66335 11.6689i 0.206096 0.902967i −0.761039 0.648706i \(-0.775311\pi\)
0.967136 0.254261i \(-0.0818323\pi\)
\(168\) −7.73205 + 1.57480i −0.596541 + 0.121498i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −0.0256772 0.112499i −0.00196935 0.00862830i
\(171\) 8.12977 + 10.1944i 0.621699 + 0.779586i
\(172\) −10.2967 12.9116i −0.785115 0.984503i
\(173\) −1.52971 6.70211i −0.116302 0.509552i −0.999200 0.0399876i \(-0.987268\pi\)
0.882898 0.469564i \(-0.155589\pi\)
\(174\) −1.66969 7.31539i −0.126579 0.554579i
\(175\) −11.8024 + 2.40381i −0.892175 + 0.181711i
\(176\) −2.21679 + 9.71240i −0.167097 + 0.732099i
\(177\) −4.90087 −0.368372
\(178\) −2.88980 −0.216600
\(179\) −4.35182 + 19.0666i −0.325270 + 1.42510i 0.502763 + 0.864424i \(0.332317\pi\)
−0.828034 + 0.560678i \(0.810540\pi\)
\(180\) −5.97239 + 2.87615i −0.445156 + 0.214376i
\(181\) 4.17751 + 5.23843i 0.310512 + 0.389369i 0.912460 0.409166i \(-0.134180\pi\)
−0.601948 + 0.798535i \(0.705609\pi\)
\(182\) 0.682534 + 0.172736i 0.0505928 + 0.0128040i
\(183\) 20.0325 25.1199i 1.48084 1.85692i
\(184\) −0.370106 + 1.62154i −0.0272846 + 0.119542i
\(185\) 2.37900 2.98317i 0.174907 0.219327i
\(186\) 5.00397 2.40978i 0.366909 0.176694i
\(187\) 1.12457 + 1.41017i 0.0822370 + 0.103122i
\(188\) −15.2074 7.32352i −1.10912 0.534123i
\(189\) 15.6292 + 3.95545i 1.13686 + 0.287716i
\(190\) −0.407177 + 0.196086i −0.0295397 + 0.0142256i
\(191\) −16.3617 7.87939i −1.18389 0.570132i −0.264849 0.964290i \(-0.585322\pi\)
−0.919043 + 0.394157i \(0.871036\pi\)
\(192\) −4.03066 17.6595i −0.290888 1.27446i
\(193\) −16.5162 7.95377i −1.18886 0.572525i −0.268380 0.963313i \(-0.586488\pi\)
−0.920481 + 0.390788i \(0.872202\pi\)
\(194\) −1.40508 + 1.76191i −0.100879 + 0.126498i
\(195\) 1.90822 0.136651
\(196\) 8.90606 10.1513i 0.636147 0.725091i
\(197\) 10.0865 0.718635 0.359317 0.933215i \(-0.383010\pi\)
0.359317 + 0.933215i \(0.383010\pi\)
\(198\) −2.37131 + 2.97353i −0.168521 + 0.211319i
\(199\) −15.1202 7.28149i −1.07184 0.516171i −0.187141 0.982333i \(-0.559922\pi\)
−0.884700 + 0.466162i \(0.845636\pi\)
\(200\) 1.05920 + 4.64064i 0.0748964 + 0.328143i
\(201\) −2.91145 1.40208i −0.205358 0.0988952i
\(202\) −1.10859 + 0.533867i −0.0779999 + 0.0375627i
\(203\) 20.0599 + 16.7825i 1.40793 + 1.17790i
\(204\) −3.21367 1.54762i −0.225002 0.108355i
\(205\) −4.20388 5.27149i −0.293611 0.368177i
\(206\) 0.651384 0.313690i 0.0453841 0.0218558i
\(207\) 5.09417 6.38789i 0.354069 0.443989i
\(208\) −0.796655 + 3.49038i −0.0552381 + 0.242014i
\(209\) 4.40438 5.52291i 0.304657 0.382028i
\(210\) −0.611172 + 1.19643i −0.0421748 + 0.0825612i
\(211\) 8.16518 + 10.2388i 0.562114 + 0.704869i 0.978947 0.204114i \(-0.0654314\pi\)
−0.416833 + 0.908983i \(0.636860\pi\)
\(212\) 5.01903 2.41704i 0.344708 0.166003i
\(213\) 2.88004 12.6183i 0.197337 0.864590i
\(214\) −3.83228 −0.261970
\(215\) −5.72678 −0.390563
\(216\) 1.41775 6.21156i 0.0964655 0.422643i
\(217\) −8.80671 + 17.2400i −0.597838 + 1.17032i
\(218\) 1.07158 + 4.69489i 0.0725763 + 0.317978i
\(219\) 8.27307 + 36.2467i 0.559042 + 2.44932i
\(220\) 2.23910 + 2.80775i 0.150960 + 0.189298i
\(221\) 0.404142 + 0.506778i 0.0271855 + 0.0340896i
\(222\) 0.963359 + 4.22075i 0.0646564 + 0.283278i
\(223\) −4.08685 17.9057i −0.273676 1.19905i −0.905638 0.424052i \(-0.860607\pi\)
0.631962 0.774999i \(-0.282250\pi\)
\(224\) −6.17674 5.16758i −0.412701 0.345273i
\(225\) 5.20313 22.7964i 0.346876 1.51976i
\(226\) −1.51230 −0.100597
\(227\) −3.98102 −0.264230 −0.132115 0.991234i \(-0.542177\pi\)
−0.132115 + 0.991234i \(0.542177\pi\)
\(228\) −3.10856 + 13.6195i −0.205869 + 0.901972i
\(229\) −2.02372 + 0.974572i −0.133731 + 0.0644015i −0.499553 0.866283i \(-0.666502\pi\)
0.365822 + 0.930685i \(0.380788\pi\)
\(230\) 0.176562 + 0.221402i 0.0116422 + 0.0145988i
\(231\) 0.492949 20.9941i 0.0324337 1.38131i
\(232\) 6.44443 8.08106i 0.423098 0.530548i
\(233\) −6.54721 + 28.6852i −0.428922 + 1.87923i 0.0455558 + 0.998962i \(0.485494\pi\)
−0.474478 + 0.880268i \(0.657363\pi\)
\(234\) −0.852185 + 1.06861i −0.0557090 + 0.0698569i
\(235\) −5.27349 + 2.53958i −0.344005 + 0.165664i
\(236\) −2.06664 2.59148i −0.134527 0.168691i
\(237\) 29.1050 + 14.0162i 1.89057 + 0.910451i
\(238\) −0.447181 + 0.0910781i −0.0289865 + 0.00590372i
\(239\) 15.2645 7.35102i 0.987382 0.475498i 0.130744 0.991416i \(-0.458263\pi\)
0.856638 + 0.515918i \(0.172549\pi\)
\(240\) −6.15515 2.96416i −0.397313 0.191336i
\(241\) −0.314180 1.37651i −0.0202381 0.0886689i 0.963800 0.266625i \(-0.0859086\pi\)
−0.984038 + 0.177956i \(0.943051\pi\)
\(242\) −0.780883 0.376053i −0.0501970 0.0241736i
\(243\) 7.88982 9.89352i 0.506132 0.634670i
\(244\) 21.7304 1.39114
\(245\) −0.826613 4.60936i −0.0528104 0.294481i
\(246\) 7.65021 0.487759
\(247\) 1.58282 1.98479i 0.100712 0.126289i
\(248\) 6.89294 + 3.31946i 0.437702 + 0.210786i
\(249\) 4.57180 + 20.0304i 0.289726 + 1.26937i
\(250\) 1.53214 + 0.737838i 0.0969009 + 0.0466650i
\(251\) 9.03053 4.34887i 0.570002 0.274498i −0.126603 0.991953i \(-0.540407\pi\)
0.696605 + 0.717455i \(0.254693\pi\)
\(252\) 10.8172 + 23.8806i 0.681422 + 1.50433i
\(253\) −3.98805 1.92054i −0.250726 0.120743i
\(254\) −1.75619 2.20219i −0.110193 0.138178i
\(255\) −1.11441 + 0.536669i −0.0697868 + 0.0336075i
\(256\) 6.62825 8.31156i 0.414266 0.519473i
\(257\) −2.85345 + 12.5018i −0.177993 + 0.779840i 0.804562 + 0.593869i \(0.202400\pi\)
−0.982555 + 0.185971i \(0.940457\pi\)
\(258\) 4.05128 5.08015i 0.252222 0.316276i
\(259\) −11.5739 9.68299i −0.719170 0.601671i
\(260\) 0.804674 + 1.00903i 0.0499038 + 0.0625773i
\(261\) −45.7461 + 22.0302i −2.83161 + 1.36363i
\(262\) −0.321021 + 1.40648i −0.0198327 + 0.0868929i
\(263\) −4.24316 −0.261644 −0.130822 0.991406i \(-0.541762\pi\)
−0.130822 + 0.991406i \(0.541762\pi\)
\(264\) −8.29900 −0.510768
\(265\) 0.429856 1.88332i 0.0264058 0.115692i
\(266\) 0.737481 + 1.62809i 0.0452179 + 0.0998249i
\(267\) 6.89279 + 30.1993i 0.421832 + 1.84817i
\(268\) −0.486331 2.13076i −0.0297074 0.130157i
\(269\) −18.6156 23.3432i −1.13501 1.42326i −0.891299 0.453416i \(-0.850205\pi\)
−0.243715 0.969847i \(-0.578366\pi\)
\(270\) −0.676350 0.848115i −0.0411613 0.0516147i
\(271\) 2.35327 + 10.3104i 0.142951 + 0.626310i 0.994741 + 0.102426i \(0.0326605\pi\)
−0.851789 + 0.523884i \(0.824482\pi\)
\(272\) −0.516386 2.26244i −0.0313105 0.137180i
\(273\) 0.177153 7.54470i 0.0107218 0.456626i
\(274\) −0.0563100 + 0.246710i −0.00340181 + 0.0149043i
\(275\) −12.6678 −0.763895
\(276\) 8.75353 0.526901
\(277\) −2.58291 + 11.3165i −0.155192 + 0.679940i 0.836135 + 0.548523i \(0.184810\pi\)
−0.991327 + 0.131417i \(0.958047\pi\)
\(278\) 2.53489 1.22074i 0.152032 0.0732150i
\(279\) −23.4322 29.3830i −1.40285 1.75912i
\(280\) −1.81342 + 0.369342i −0.108373 + 0.0220724i
\(281\) −20.0026 + 25.0825i −1.19325 + 1.49629i −0.369611 + 0.929187i \(0.620509\pi\)
−0.823644 + 0.567107i \(0.808062\pi\)
\(282\) 1.47779 6.47461i 0.0880010 0.385557i
\(283\) 9.35727 11.7336i 0.556232 0.697493i −0.421624 0.906771i \(-0.638540\pi\)
0.977856 + 0.209278i \(0.0671114\pi\)
\(284\) 7.88677 3.79807i 0.467994 0.225374i
\(285\) 3.02036 + 3.78742i 0.178911 + 0.224347i
\(286\) 0.667145 + 0.321280i 0.0394491 + 0.0189977i
\(287\) −21.2326 + 16.1318i −1.25332 + 0.952232i
\(288\) 14.0859 6.78340i 0.830018 0.399715i
\(289\) 14.9379 + 7.19373i 0.878701 + 0.423160i
\(290\) −0.391597 1.71570i −0.0229954 0.100749i
\(291\) 21.7639 + 10.4810i 1.27582 + 0.614405i
\(292\) −15.6779 + 19.6594i −0.917477 + 1.15048i
\(293\) −23.4083 −1.36753 −0.683763 0.729704i \(-0.739658\pi\)
−0.683763 + 0.729704i \(0.739658\pi\)
\(294\) 4.67367 + 2.52751i 0.272574 + 0.147408i
\(295\) −1.14942 −0.0669216
\(296\) −3.71823 + 4.66252i −0.216118 + 0.271003i
\(297\) 15.2768 + 7.35693i 0.886452 + 0.426893i
\(298\) −1.09718 4.80708i −0.0635582 0.278467i
\(299\) −1.43320 0.690192i −0.0828840 0.0399148i
\(300\) 22.5706 10.8694i 1.30311 0.627546i
\(301\) −0.531654 + 22.6424i −0.0306440 + 1.30509i
\(302\) −0.321977 0.155056i −0.0185277 0.00892246i
\(303\) 8.22329 + 10.3117i 0.472415 + 0.592390i
\(304\) −8.18861 + 3.94343i −0.469649 + 0.226171i
\(305\) 4.69828 5.89145i 0.269022 0.337343i
\(306\) 0.197142 0.863736i 0.0112699 0.0493765i
\(307\) 6.91983 8.67719i 0.394935 0.495233i −0.544116 0.839010i \(-0.683135\pi\)
0.939051 + 0.343777i \(0.111706\pi\)
\(308\) 11.3091 8.59227i 0.644396 0.489590i
\(309\) −4.83185 6.05894i −0.274874 0.344681i
\(310\) 1.17359 0.565173i 0.0666557 0.0320997i
\(311\) 1.43377 6.28178i 0.0813019 0.356207i −0.917871 0.396880i \(-0.870093\pi\)
0.999173 + 0.0406728i \(0.0129501\pi\)
\(312\) −2.98244 −0.168847
\(313\) 6.88845 0.389358 0.194679 0.980867i \(-0.437633\pi\)
0.194679 + 0.980867i \(0.437633\pi\)
\(314\) −0.643604 + 2.81981i −0.0363207 + 0.159131i
\(315\) 8.81318 + 2.23044i 0.496566 + 0.125671i
\(316\) 4.86172 + 21.3006i 0.273493 + 1.19825i
\(317\) 2.03787 + 8.92848i 0.114458 + 0.501473i 0.999363 + 0.0357008i \(0.0113663\pi\)
−0.884905 + 0.465772i \(0.845777\pi\)
\(318\) 1.36658 + 1.71363i 0.0766338 + 0.0960958i
\(319\) 17.1506 + 21.5062i 0.960250 + 1.20412i
\(320\) −0.945323 4.14173i −0.0528451 0.231530i
\(321\) 9.14082 + 40.0485i 0.510191 + 2.23529i
\(322\) 0.891768 0.677536i 0.0496963 0.0377576i
\(323\) −0.366164 + 1.60427i −0.0203739 + 0.0892640i
\(324\) −3.80527 −0.211404
\(325\) −4.55246 −0.252525
\(326\) −0.634177 + 2.77851i −0.0351238 + 0.153888i
\(327\) 46.5070 22.3966i 2.57185 1.23854i
\(328\) 6.57041 + 8.23904i 0.362790 + 0.454925i
\(329\) 9.55138 + 21.0860i 0.526585 + 1.16251i
\(330\) −0.880986 + 1.10472i −0.0484967 + 0.0608129i
\(331\) 0.0303352 0.132907i 0.00166738 0.00730525i −0.974087 0.226172i \(-0.927379\pi\)
0.975755 + 0.218867i \(0.0702360\pi\)
\(332\) −8.66377 + 10.8640i −0.475486 + 0.596241i
\(333\) 26.3940 12.7107i 1.44638 0.696542i
\(334\) 1.98584 + 2.49016i 0.108660 + 0.136255i
\(335\) −0.682831 0.328834i −0.0373070 0.0179661i
\(336\) −12.2911 + 24.0609i −0.670534 + 1.31263i
\(337\) −0.302103 + 0.145485i −0.0164566 + 0.00792507i −0.442094 0.896969i \(-0.645764\pi\)
0.425637 + 0.904894i \(0.360050\pi\)
\(338\) 0.239754 + 0.115460i 0.0130409 + 0.00628017i
\(339\) 3.60716 + 15.8040i 0.195914 + 0.858357i
\(340\) −0.753711 0.362968i −0.0408757 0.0196847i
\(341\) −12.6946 + 15.9185i −0.687452 + 0.862037i
\(342\) −3.46981 −0.187626
\(343\) −18.3012 + 2.84033i −0.988170 + 0.153364i
\(344\) 8.95062 0.482585
\(345\) 1.89258 2.37322i 0.101893 0.127770i
\(346\) 1.64818 + 0.793722i 0.0886068 + 0.0426708i
\(347\) 4.41052 + 19.3237i 0.236769 + 1.03735i 0.943890 + 0.330260i \(0.107136\pi\)
−0.707121 + 0.707092i \(0.750006\pi\)
\(348\) −49.0109 23.6024i −2.62726 1.26522i
\(349\) 17.8826 8.61183i 0.957236 0.460981i 0.111019 0.993818i \(-0.464589\pi\)
0.846217 + 0.532838i \(0.178874\pi\)
\(350\) 1.45808 2.85432i 0.0779374 0.152570i
\(351\) 5.49008 + 2.64389i 0.293039 + 0.141120i
\(352\) −5.28092 6.62206i −0.281474 0.352957i
\(353\) 3.91285 1.88433i 0.208260 0.100293i −0.326846 0.945078i \(-0.605986\pi\)
0.535106 + 0.844785i \(0.320272\pi\)
\(354\) 0.813128 1.01963i 0.0432173 0.0541928i
\(355\) 0.675464 2.95940i 0.0358499 0.157069i
\(356\) −13.0622 + 16.3794i −0.692293 + 0.868109i
\(357\) 2.01842 + 4.45594i 0.106826 + 0.235833i
\(358\) −3.24478 4.06883i −0.171492 0.215044i
\(359\) −3.39742 + 1.63611i −0.179309 + 0.0863506i −0.521385 0.853322i \(-0.674584\pi\)
0.342076 + 0.939672i \(0.388870\pi\)
\(360\) 0.799455 3.50264i 0.0421350 0.184605i
\(361\) −12.5553 −0.660806
\(362\) −1.78297 −0.0937109
\(363\) −2.06730 + 9.05743i −0.108505 + 0.475392i
\(364\) 4.06419 3.08783i 0.213021 0.161846i
\(365\) 1.94031 + 8.50104i 0.101560 + 0.444965i
\(366\) 1.90254 + 8.33555i 0.0994471 + 0.435706i
\(367\) 2.05023 + 2.57091i 0.107021 + 0.134200i 0.832457 0.554089i \(-0.186933\pi\)
−0.725436 + 0.688289i \(0.758362\pi\)
\(368\) 3.55079 + 4.45255i 0.185098 + 0.232105i
\(369\) −11.5192 50.4690i −0.599667 2.62731i
\(370\) 0.225939 + 0.989904i 0.0117460 + 0.0514627i
\(371\) −7.40634 1.87440i −0.384518 0.0973139i
\(372\) 8.95970 39.2550i 0.464539 2.03528i
\(373\) 24.4567 1.26632 0.633159 0.774022i \(-0.281758\pi\)
0.633159 + 0.774022i \(0.281758\pi\)
\(374\) −0.479971 −0.0248187
\(375\) 4.05616 17.7712i 0.209459 0.917701i
\(376\) 8.24216 3.96921i 0.425057 0.204697i
\(377\) 6.16347 + 7.72875i 0.317435 + 0.398051i
\(378\) −3.41606 + 2.59540i −0.175703 + 0.133493i
\(379\) 19.8281 24.8636i 1.01850 1.27716i 0.0581664 0.998307i \(-0.481475\pi\)
0.960334 0.278852i \(-0.0899540\pi\)
\(380\) −0.729058 + 3.19421i −0.0373999 + 0.163860i
\(381\) −18.8247 + 23.6054i −0.964418 + 1.20934i
\(382\) 4.35397 2.09676i 0.222768 0.107280i
\(383\) 1.33091 + 1.66890i 0.0680061 + 0.0852769i 0.814671 0.579923i \(-0.196918\pi\)
−0.746665 + 0.665200i \(0.768346\pi\)
\(384\) 19.9879 + 9.62567i 1.02000 + 0.491208i
\(385\) 0.115613 4.92379i 0.00589217 0.250940i
\(386\) 4.39507 2.11655i 0.223703 0.107730i
\(387\) −39.6143 19.0772i −2.01371 0.969750i
\(388\) 3.63547 + 15.9280i 0.184563 + 0.808623i
\(389\) 1.93921 + 0.933875i 0.0983219 + 0.0473494i 0.482398 0.875952i \(-0.339766\pi\)
−0.384076 + 0.923301i \(0.625480\pi\)
\(390\) −0.316603 + 0.397007i −0.0160318 + 0.0201032i
\(391\) 1.03110 0.0521450
\(392\) 1.29195 + 7.20416i 0.0652532 + 0.363865i
\(393\) 15.4639 0.780050
\(394\) −1.67351 + 2.09851i −0.0843100 + 0.105721i
\(395\) 6.82607 + 3.28726i 0.343457 + 0.165400i
\(396\) 6.13546 + 26.8812i 0.308319 + 1.35083i
\(397\) −16.3507 7.87409i −0.820619 0.395189i −0.0240306 0.999711i \(-0.507650\pi\)
−0.796589 + 0.604522i \(0.793364\pi\)
\(398\) 4.02358 1.93766i 0.201684 0.0971259i
\(399\) 15.2550 11.5903i 0.763707 0.580239i
\(400\) 14.6844 + 7.07162i 0.734219 + 0.353581i
\(401\) 9.84058 + 12.3397i 0.491415 + 0.616215i 0.964269 0.264926i \(-0.0853475\pi\)
−0.472854 + 0.881141i \(0.656776\pi\)
\(402\) 0.774758 0.373104i 0.0386414 0.0186087i
\(403\) −4.56210 + 5.72070i −0.227255 + 0.284968i
\(404\) −1.98495 + 8.69661i −0.0987547 + 0.432673i
\(405\) −0.822729 + 1.03167i −0.0408817 + 0.0512640i
\(406\) −6.81986 + 1.38901i −0.338464 + 0.0689355i
\(407\) −9.89536 12.4084i −0.490495 0.615061i
\(408\) 1.74175 0.838783i 0.0862295 0.0415259i
\(409\) 2.70885 11.8683i 0.133944 0.586848i −0.862752 0.505627i \(-0.831261\pi\)
0.996696 0.0812206i \(-0.0258818\pi\)
\(410\) 1.79422 0.0886105
\(411\) 2.71251 0.133798
\(412\) 1.16632 5.10997i 0.0574603 0.251750i
\(413\) −0.106708 + 4.54454i −0.00525074 + 0.223622i
\(414\) 0.483806 + 2.11969i 0.0237778 + 0.104177i
\(415\) 1.07224 + 4.69778i 0.0526340 + 0.230605i
\(416\) −1.89782 2.37979i −0.0930483 0.116679i
\(417\) −18.8033 23.5786i −0.920803 1.15465i
\(418\) 0.418295 + 1.83267i 0.0204595 + 0.0896387i
\(419\) −3.82942 16.7778i −0.187079 0.819648i −0.978146 0.207918i \(-0.933331\pi\)
0.791067 0.611730i \(-0.209526\pi\)
\(420\) 4.01881 + 8.87209i 0.196098 + 0.432913i
\(421\) 0.340345 1.49115i 0.0165874 0.0726741i −0.965957 0.258703i \(-0.916705\pi\)
0.982544 + 0.186029i \(0.0595619\pi\)
\(422\) −3.48492 −0.169643
\(423\) −44.9387 −2.18499
\(424\) −0.671840 + 2.94352i −0.0326274 + 0.142950i
\(425\) 2.65864 1.28034i 0.128963 0.0621054i
\(426\) 2.14740 + 2.69276i 0.104042 + 0.130464i
\(427\) −22.8574 19.1229i −1.10615 0.925422i
\(428\) −17.3223 + 21.7215i −0.837304 + 1.04995i
\(429\) 1.76619 7.73819i 0.0852725 0.373603i
\(430\) 0.950158 1.19146i 0.0458207 0.0574573i
\(431\) −1.14421 + 0.551025i −0.0551149 + 0.0265419i −0.461238 0.887276i \(-0.652595\pi\)
0.406123 + 0.913818i \(0.366880\pi\)
\(432\) −13.6019 17.0562i −0.654420 0.820616i
\(433\) 25.6163 + 12.3361i 1.23104 + 0.592837i 0.932365 0.361518i \(-0.117742\pi\)
0.298674 + 0.954355i \(0.403456\pi\)
\(434\) −2.12562 4.69261i −0.102033 0.225252i
\(435\) −16.9955 + 8.18462i −0.814874 + 0.392423i
\(436\) 31.4543 + 15.1476i 1.50639 + 0.725439i
\(437\) −0.898603 3.93704i −0.0429860 0.188334i
\(438\) −8.91378 4.29265i −0.425917 0.205111i
\(439\) 0.628853 0.788557i 0.0300135 0.0376358i −0.766598 0.642127i \(-0.778052\pi\)
0.796612 + 0.604491i \(0.206624\pi\)
\(440\) −1.94639 −0.0927904
\(441\) 9.63686 34.6383i 0.458898 1.64944i
\(442\) −0.172489 −0.00820445
\(443\) −16.1821 + 20.2918i −0.768837 + 0.964091i −0.999961 0.00883306i \(-0.997188\pi\)
0.231124 + 0.972924i \(0.425760\pi\)
\(444\) 28.2778 + 13.6178i 1.34200 + 0.646275i
\(445\) 1.61659 + 7.08272i 0.0766335 + 0.335753i
\(446\) 4.40336 + 2.12054i 0.208505 + 0.100411i
\(447\) −47.6184 + 22.9318i −2.25227 + 1.08464i
\(448\) −16.4633 + 3.35310i −0.777816 + 0.158419i
\(449\) −7.31057 3.52058i −0.345007 0.166147i 0.253353 0.967374i \(-0.418467\pi\)
−0.598360 + 0.801227i \(0.704181\pi\)
\(450\) 3.87954 + 4.86478i 0.182883 + 0.229328i
\(451\) −25.2678 + 12.1684i −1.18982 + 0.572985i
\(452\) −6.83575 + 8.57176i −0.321527 + 0.403182i
\(453\) −0.852397 + 3.73460i −0.0400491 + 0.175467i
\(454\) 0.660511 0.828255i 0.0309993 0.0388719i
\(455\) 0.0415481 1.76948i 0.00194781 0.0829545i
\(456\) −4.72065 5.91951i −0.221065 0.277206i
\(457\) −17.9649 + 8.65146i −0.840364 + 0.404698i −0.803992 0.594640i \(-0.797295\pi\)
−0.0363724 + 0.999338i \(0.511580\pi\)
\(458\) 0.133005 0.582733i 0.00621491 0.0272293i
\(459\) −3.94979 −0.184360
\(460\) 2.05299 0.0957212
\(461\) 8.48078 37.1567i 0.394989 1.73056i −0.251697 0.967806i \(-0.580989\pi\)
0.646687 0.762756i \(-0.276154\pi\)
\(462\) 4.28604 + 3.58579i 0.199405 + 0.166826i
\(463\) −2.78952 12.2217i −0.129640 0.567990i −0.997467 0.0711240i \(-0.977341\pi\)
0.867828 0.496865i \(-0.165516\pi\)
\(464\) −7.87529 34.5039i −0.365601 1.60180i
\(465\) −8.70551 10.9164i −0.403708 0.506234i
\(466\) −4.88170 6.12146i −0.226140 0.283571i
\(467\) −2.27276 9.95761i −0.105171 0.460783i −0.999900 0.0141734i \(-0.995488\pi\)
0.894729 0.446610i \(-0.147369\pi\)
\(468\) 2.20492 + 9.66039i 0.101923 + 0.446552i
\(469\) −1.36353 + 2.66924i −0.0629620 + 0.123254i
\(470\) 0.346590 1.51851i 0.0159870 0.0700436i
\(471\) 31.0030 1.42855
\(472\) 1.79647 0.0826892
\(473\) −5.30053 + 23.2231i −0.243718 + 1.06780i
\(474\) −7.74503 + 3.72981i −0.355741 + 0.171316i
\(475\) −7.20570 9.03566i −0.330620 0.414585i
\(476\) −1.50507 + 2.94631i −0.0689847 + 0.135044i
\(477\) 9.24726 11.5957i 0.423403 0.530930i
\(478\) −1.00323 + 4.39545i −0.0458868 + 0.201043i
\(479\) 14.0884 17.6663i 0.643717 0.807195i −0.347746 0.937589i \(-0.613053\pi\)
0.991462 + 0.130394i \(0.0416242\pi\)
\(480\) 5.23317 2.52016i 0.238860 0.115029i
\(481\) −3.55613 4.45924i −0.162145 0.203324i
\(482\) 0.338511 + 0.163019i 0.0154188 + 0.00742529i
\(483\) −9.20751 7.70318i −0.418956 0.350507i
\(484\) −5.66114 + 2.72626i −0.257325 + 0.123921i
\(485\) 5.10436 + 2.45813i 0.231777 + 0.111618i
\(486\) 0.749316 + 3.28297i 0.0339897 + 0.148918i
\(487\) −29.9134 14.4055i −1.35551 0.652777i −0.391876 0.920018i \(-0.628174\pi\)
−0.963630 + 0.267241i \(0.913888\pi\)
\(488\) −7.34313 + 9.20799i −0.332408 + 0.416826i
\(489\) 30.5489 1.38147
\(490\) 1.09613 + 0.592785i 0.0495181 + 0.0267793i
\(491\) −38.2747 −1.72731 −0.863656 0.504082i \(-0.831831\pi\)
−0.863656 + 0.504082i \(0.831831\pi\)
\(492\) 34.5797 43.3615i 1.55897 1.95489i
\(493\) −5.77312 2.78019i −0.260008 0.125213i
\(494\) 0.150324 + 0.658612i 0.00676339 + 0.0296324i
\(495\) 8.61446 + 4.14851i 0.387191 + 0.186462i
\(496\) 23.6018 11.3660i 1.05975 0.510350i
\(497\) −11.6381 2.94538i −0.522041 0.132118i
\(498\) −4.92586 2.37217i −0.220733 0.106299i
\(499\) 5.79450 + 7.26607i 0.259397 + 0.325274i 0.894427 0.447214i \(-0.147584\pi\)
−0.635030 + 0.772488i \(0.719012\pi\)
\(500\) 11.1075 5.34908i 0.496742 0.239218i
\(501\) 21.2863 26.6921i 0.951001 1.19252i
\(502\) −0.593514 + 2.60035i −0.0264898 + 0.116059i
\(503\) −2.47680 + 3.10580i −0.110435 + 0.138481i −0.833977 0.551799i \(-0.813941\pi\)
0.723542 + 0.690280i \(0.242513\pi\)
\(504\) −13.7745 3.48605i −0.613564 0.155281i
\(505\) 1.92863 + 2.41843i 0.0858229 + 0.107619i
\(506\) 1.06125 0.511070i 0.0471782 0.0227198i
\(507\) 0.634722 2.78090i 0.0281890 0.123504i
\(508\) −20.4202 −0.906000
\(509\) 23.4425 1.03907 0.519536 0.854449i \(-0.326105\pi\)
0.519536 + 0.854449i \(0.326105\pi\)
\(510\) 0.0732421 0.320894i 0.00324321 0.0142094i
\(511\) 33.7914 6.88235i 1.49484 0.304457i
\(512\) 4.09085 + 17.9232i 0.180792 + 0.792101i
\(513\) 3.44224 + 15.0814i 0.151979 + 0.665861i
\(514\) −2.12758 2.66790i −0.0938433 0.117676i
\(515\) −1.13323 1.42102i −0.0499359 0.0626177i
\(516\) −10.4822 45.9255i −0.461453 2.02176i
\(517\) 5.41748 + 23.7355i 0.238260 + 1.04389i
\(518\) 3.93484 0.801416i 0.172887 0.0352122i
\(519\) 4.36337 19.1172i 0.191531 0.839152i
\(520\) −0.699480 −0.0306742
\(521\) 25.2844 1.10773 0.553865 0.832607i \(-0.313152\pi\)
0.553865 + 0.832607i \(0.313152\pi\)
\(522\) 3.00657 13.1726i 0.131594 0.576551i
\(523\) 25.9483 12.4961i 1.13464 0.546414i 0.230255 0.973130i \(-0.426044\pi\)
0.904386 + 0.426716i \(0.140330\pi\)
\(524\) 6.52094 + 8.17699i 0.284868 + 0.357214i
\(525\) −33.3063 8.42917i −1.45361 0.367879i
\(526\) 0.704003 0.882792i 0.0306960 0.0384916i
\(527\) 1.05539 4.62394i 0.0459733 0.201422i
\(528\) −17.7172 + 22.2167i −0.771044 + 0.966858i
\(529\) 18.4425 8.88142i 0.801846 0.386149i
\(530\) 0.320507 + 0.401903i 0.0139219 + 0.0174576i
\(531\) −7.95094 3.82897i −0.345041 0.166163i
\(532\) 12.5616 + 3.17908i 0.544612 + 0.137831i
\(533\) −9.08059 + 4.37298i −0.393324 + 0.189415i
\(534\) −7.42661 3.57646i −0.321381 0.154769i
\(535\) 2.14382 + 9.39270i 0.0926855 + 0.406082i
\(536\) 1.06722 + 0.513948i 0.0460971 + 0.0221992i
\(537\) −34.7810 + 43.6140i −1.50091 + 1.88208i
\(538\) 7.94519 0.342542
\(539\) −19.4569 0.914215i −0.838067 0.0393780i
\(540\) −7.86430 −0.338425
\(541\) −4.35590 + 5.46213i −0.187275 + 0.234835i −0.866602 0.499001i \(-0.833701\pi\)
0.679327 + 0.733836i \(0.262272\pi\)
\(542\) −2.53552 1.22104i −0.108910 0.0524484i
\(543\) 4.25277 + 18.6326i 0.182504 + 0.799601i
\(544\) 1.77762 + 0.856059i 0.0762150 + 0.0367032i
\(545\) 10.9074 5.25274i 0.467223 0.225003i
\(546\) 1.54029 + 1.28864i 0.0659183 + 0.0551485i
\(547\) 2.16416 + 1.04220i 0.0925328 + 0.0445614i 0.479578 0.877499i \(-0.340790\pi\)
−0.387045 + 0.922061i \(0.626504\pi\)
\(548\) 1.14383 + 1.43432i 0.0488621 + 0.0612711i
\(549\) 52.1255 25.1023i 2.22466 1.07134i
\(550\) 2.10177 2.63554i 0.0896199 0.112380i
\(551\) −5.58429 + 24.4664i −0.237899 + 1.04230i
\(552\) −2.95799 + 3.70921i −0.125901 + 0.157874i
\(553\) 13.6308 26.6836i 0.579642 1.13470i
\(554\) −1.92586 2.41495i −0.0818218 0.102601i
\(555\) 9.80589 4.72227i 0.416237 0.200449i
\(556\) 4.53877 19.8856i 0.192487 0.843339i
\(557\) 12.5724 0.532709 0.266355 0.963875i \(-0.414181\pi\)
0.266355 + 0.963875i \(0.414181\pi\)
\(558\) 10.0009 0.423373
\(559\) −1.90487 + 8.34577i −0.0805673 + 0.352989i
\(560\) −2.88266 + 5.64308i −0.121815 + 0.238464i
\(561\) 1.14483 + 5.01584i 0.0483349 + 0.211769i
\(562\) −1.89970 8.32311i −0.0801338 0.351089i
\(563\) −25.3328 31.7663i −1.06765 1.33879i −0.937769 0.347261i \(-0.887112\pi\)
−0.129881 0.991530i \(-0.541460\pi\)
\(564\) −30.0185 37.6420i −1.26401 1.58501i
\(565\) 0.845998 + 3.70656i 0.0355914 + 0.155936i
\(566\) 0.888683 + 3.89357i 0.0373541 + 0.163659i
\(567\) 4.00262 + 3.34867i 0.168094 + 0.140631i
\(568\) −1.05571 + 4.62537i −0.0442966 + 0.194076i
\(569\) 43.6570 1.83020 0.915098 0.403233i \(-0.132113\pi\)
0.915098 + 0.403233i \(0.132113\pi\)
\(570\) −1.28910 −0.0539944
\(571\) −5.32383 + 23.3252i −0.222795 + 0.976130i 0.732567 + 0.680695i \(0.238322\pi\)
−0.955363 + 0.295436i \(0.904535\pi\)
\(572\) 4.83658 2.32917i 0.202228 0.0973877i
\(573\) −32.2969 40.4991i −1.34922 1.69187i
\(574\) 0.166570 7.09398i 0.00695248 0.296097i
\(575\) −4.51515 + 5.66181i −0.188295 + 0.236114i
\(576\) 7.25791 31.7990i 0.302413 1.32496i
\(577\) −6.09004 + 7.63667i −0.253532 + 0.317919i −0.892267 0.451508i \(-0.850886\pi\)
0.638736 + 0.769426i \(0.279458\pi\)
\(578\) −3.97509 + 1.91430i −0.165342 + 0.0796244i
\(579\) −32.6018 40.8814i −1.35489 1.69897i
\(580\) −11.4947 5.53554i −0.477290 0.229851i
\(581\) 18.6735 3.80327i 0.774709 0.157786i
\(582\) −5.79154 + 2.78906i −0.240067 + 0.115610i
\(583\) −7.23935 3.48629i −0.299823 0.144387i
\(584\) −3.03258 13.2866i −0.125489 0.549804i
\(585\) 3.09581 + 1.49086i 0.127996 + 0.0616396i
\(586\) 3.88379 4.87011i 0.160438 0.201183i
\(587\) 9.57630 0.395256 0.197628 0.980277i \(-0.436676\pi\)
0.197628 + 0.980277i \(0.436676\pi\)
\(588\) 35.4514 15.0658i 1.46199 0.621305i
\(589\) −18.5753 −0.765383
\(590\) 0.190705 0.239137i 0.00785121 0.00984511i
\(591\) 25.9217 + 12.4832i 1.06628 + 0.513492i
\(592\) 4.54379 + 19.9077i 0.186749 + 0.818200i
\(593\) 37.5731 + 18.0943i 1.54294 + 0.743042i 0.995586 0.0938570i \(-0.0299196\pi\)
0.547357 + 0.836899i \(0.315634\pi\)
\(594\) −4.06527 + 1.95773i −0.166800 + 0.0803267i
\(595\) 0.473385 + 1.04506i 0.0194069 + 0.0428435i
\(596\) −32.2060 15.5096i −1.31921 0.635298i
\(597\) −29.8462 37.4260i −1.22152 1.53174i
\(598\) 0.381384 0.183665i 0.0155959 0.00751061i
\(599\) −24.3637 + 30.5511i −0.995473 + 1.24828i −0.0268786 + 0.999639i \(0.508557\pi\)
−0.968595 + 0.248645i \(0.920015\pi\)
\(600\) −3.02126 + 13.2370i −0.123343 + 0.540399i
\(601\) −20.0956 + 25.1991i −0.819717 + 1.02789i 0.179310 + 0.983793i \(0.442614\pi\)
−0.999027 + 0.0441003i \(0.985958\pi\)
\(602\) −4.62257 3.86733i −0.188402 0.157621i
\(603\) −3.62798 4.54934i −0.147743 0.185263i
\(604\) −2.33422 + 1.12410i −0.0949782 + 0.0457391i
\(605\) −0.484849 + 2.12426i −0.0197119 + 0.0863636i
\(606\) −3.50972 −0.142573
\(607\) −39.3785 −1.59832 −0.799161 0.601116i \(-0.794723\pi\)
−0.799161 + 0.601116i \(0.794723\pi\)
\(608\) 1.71948 7.53354i 0.0697342 0.305525i
\(609\) 30.7824 + 67.9565i 1.24737 + 2.75374i
\(610\) 0.446207 + 1.95496i 0.0180664 + 0.0791540i
\(611\) 1.94690 + 8.52991i 0.0787630 + 0.345083i
\(612\) −4.00457 5.02157i −0.161875 0.202985i
\(613\) 14.8719 + 18.6488i 0.600672 + 0.753219i 0.985483 0.169777i \(-0.0543047\pi\)
−0.384811 + 0.922996i \(0.625733\pi\)
\(614\) 0.657193 + 2.87935i 0.0265222 + 0.116201i
\(615\) −4.27961 18.7502i −0.172571 0.756081i
\(616\) −0.180696 + 7.69560i −0.00728044 + 0.310065i
\(617\) 1.05810 4.63582i 0.0425973 0.186631i −0.949153 0.314815i \(-0.898058\pi\)
0.991750 + 0.128184i \(0.0409147\pi\)
\(618\) 2.06224 0.0829556
\(619\) −32.5168 −1.30696 −0.653480 0.756944i \(-0.726692\pi\)
−0.653480 + 0.756944i \(0.726692\pi\)
\(620\) 2.10134 9.20659i 0.0843920 0.369746i
\(621\) 8.73324 4.20571i 0.350453 0.168769i
\(622\) 1.06904 + 1.34054i 0.0428648 + 0.0537507i
\(623\) 28.1536 5.73410i 1.12795 0.229732i
\(624\) −6.36710 + 7.98409i −0.254888 + 0.319619i
\(625\) −4.11378 + 18.0237i −0.164551 + 0.720947i
\(626\) −1.14290 + 1.43315i −0.0456793 + 0.0572801i
\(627\) 18.1542 8.74261i 0.725010 0.349146i
\(628\) 13.0736 + 16.3938i 0.521694 + 0.654183i
\(629\) 3.33090 + 1.60408i 0.132812 + 0.0639588i
\(630\) −1.92628 + 1.46352i −0.0767449 + 0.0583082i
\(631\) −9.79110 + 4.71514i −0.389777 + 0.187707i −0.618500 0.785785i \(-0.712259\pi\)
0.228723 + 0.973492i \(0.426545\pi\)
\(632\) −10.6687 5.13780i −0.424380 0.204371i
\(633\) 8.31228 + 36.4185i 0.330383 + 1.44750i
\(634\) −2.19569 1.05739i −0.0872020 0.0419943i
\(635\) −4.41501 + 5.53624i −0.175204 + 0.219699i
\(636\) 15.8900 0.630078
\(637\) −6.99229 0.328545i −0.277044 0.0130174i
\(638\) −7.31993 −0.289799
\(639\) 14.5309 18.2212i 0.574833 0.720818i
\(640\) 4.68782 + 2.25754i 0.185302 + 0.0892370i
\(641\) −3.82516 16.7591i −0.151085 0.661946i −0.992571 0.121667i \(-0.961176\pi\)
0.841486 0.540279i \(-0.181681\pi\)
\(642\) −9.84873 4.74290i −0.388698 0.187187i
\(643\) −32.2802 + 15.5453i −1.27301 + 0.613048i −0.943584 0.331134i \(-0.892569\pi\)
−0.329424 + 0.944182i \(0.606855\pi\)
\(644\) 0.190592 8.11708i 0.00751039 0.319858i
\(645\) −14.7175 7.08755i −0.579499 0.279072i
\(646\) −0.273018 0.342353i −0.0107417 0.0134697i
\(647\) −33.3091 + 16.0408i −1.30951 + 0.630629i −0.952804 0.303586i \(-0.901816\pi\)
−0.356711 + 0.934215i \(0.616102\pi\)
\(648\) 1.28588 1.61244i 0.0505140 0.0633426i
\(649\) −1.06386 + 4.66109i −0.0417603 + 0.182964i
\(650\) 0.755321 0.947143i 0.0296261 0.0371500i
\(651\) −43.9691 + 33.4063i −1.72329 + 1.30929i
\(652\) 12.8821 + 16.1537i 0.504502 + 0.632626i
\(653\) −16.3780 + 7.88725i −0.640922 + 0.308652i −0.725971 0.687725i \(-0.758610\pi\)
0.0850491 + 0.996377i \(0.472895\pi\)
\(654\) −3.05658 + 13.3918i −0.119522 + 0.523659i
\(655\) 3.62679 0.141710
\(656\) 36.0831 1.40881
\(657\) −14.8971 + 65.2685i −0.581191 + 2.54637i
\(658\) −5.97168 1.51131i −0.232800 0.0589172i
\(659\) 7.02688 + 30.7868i 0.273728 + 1.19928i 0.905574 + 0.424188i \(0.139441\pi\)
−0.631846 + 0.775094i \(0.717702\pi\)
\(660\) 2.27944 + 9.98689i 0.0887271 + 0.388739i
\(661\) 0.694161 + 0.870451i 0.0269998 + 0.0338566i 0.795148 0.606415i \(-0.207393\pi\)
−0.768148 + 0.640272i \(0.778822\pi\)
\(662\) 0.0226184 + 0.0283626i 0.000879089 + 0.00110234i
\(663\) 0.411422 + 1.80256i 0.0159783 + 0.0700056i
\(664\) −1.67584 7.34235i −0.0650353 0.284938i
\(665\) 3.57780 2.71830i 0.138741 0.105411i
\(666\) −1.73470 + 7.60020i −0.0672181 + 0.294502i
\(667\) 15.7251 0.608877
\(668\) 23.0904 0.893395
\(669\) 11.6574 51.0744i 0.450701 1.97465i
\(670\) 0.181706 0.0875050i 0.00701992 0.00338061i
\(671\) −19.5423 24.5053i −0.754423 0.946017i
\(672\) −9.47834 20.9248i −0.365635 0.807191i
\(673\) −8.75567 + 10.9793i −0.337506 + 0.423219i −0.921403 0.388609i \(-0.872956\pi\)
0.583897 + 0.811828i \(0.301527\pi\)
\(674\) 0.0198551 0.0869908i 0.000764790 0.00335076i
\(675\) 17.2960 21.6884i 0.665722 0.834789i
\(676\) 1.73814 0.837043i 0.0668514 0.0321940i
\(677\) 21.6343 + 27.1285i 0.831473 + 1.04263i 0.998393 + 0.0566640i \(0.0180464\pi\)
−0.166920 + 0.985970i \(0.553382\pi\)
\(678\) −3.88652 1.87165i −0.149261 0.0718803i
\(679\) 10.1928 19.9533i 0.391163 0.765738i
\(680\) 0.408498 0.196722i 0.0156652 0.00754395i
\(681\) −10.2310 4.92698i −0.392052 0.188802i
\(682\) −1.20564 5.28225i −0.0461663 0.202268i
\(683\) −41.2506 19.8653i −1.57841 0.760123i −0.579901 0.814687i \(-0.696909\pi\)
−0.998510 + 0.0545637i \(0.982623\pi\)
\(684\) −15.6838 + 19.6669i −0.599687 + 0.751983i
\(685\) 0.636172 0.0243069
\(686\) 2.44550 4.27883i 0.0933698 0.163366i
\(687\) −6.40698 −0.244442
\(688\) 19.1083 23.9611i 0.728499 0.913508i
\(689\) −2.60163 1.25288i −0.0991142 0.0477309i
\(690\) 0.179743 + 0.787507i 0.00684271 + 0.0299799i
\(691\) 2.12823 + 1.02490i 0.0809618 + 0.0389892i 0.473926 0.880564i \(-0.342836\pi\)
−0.392965 + 0.919554i \(0.628551\pi\)
\(692\) 11.9488 5.75422i 0.454224 0.218743i
\(693\) 17.2020 33.6746i 0.653452 1.27919i
\(694\) −4.75209 2.28849i −0.180387 0.0868697i
\(695\) −4.41000 5.52996i −0.167281 0.209763i
\(696\) 26.5630 12.7921i 1.00687 0.484883i
\(697\) 4.07322 5.10766i 0.154284 0.193466i
\(698\) −1.17530 + 5.14933i −0.0444858 + 0.194905i
\(699\) −52.3272 + 65.6162i −1.97920 + 2.48183i
\(700\) −9.58770 21.1662i −0.362381 0.800007i
\(701\) −11.2891 14.1560i −0.426382 0.534666i 0.521515 0.853242i \(-0.325367\pi\)
−0.947897 + 0.318576i \(0.896795\pi\)
\(702\) −1.46095 + 0.703556i −0.0551400 + 0.0265540i
\(703\) 3.22196 14.1163i 0.121518 0.532407i
\(704\) −17.6704 −0.665979
\(705\) −16.6956 −0.628791
\(706\) −0.257164 + 1.12671i −0.00967849 + 0.0424042i
\(707\) 9.74098 7.40087i 0.366347 0.278338i
\(708\) −2.10387 9.21765i −0.0790682 0.346421i
\(709\) −8.11233 35.5424i −0.304665 1.33482i −0.862998 0.505207i \(-0.831416\pi\)
0.558333 0.829617i \(-0.311441\pi\)
\(710\) 0.503636 + 0.631540i 0.0189011 + 0.0237013i
\(711\) 36.2679 + 45.4784i 1.36015 + 1.70558i
\(712\) −2.52663 11.0699i −0.0946894 0.414861i
\(713\) 2.59002 + 11.3476i 0.0969970 + 0.424971i
\(714\) −1.26195 0.319374i −0.0472272 0.0119523i
\(715\) 0.414230 1.81486i 0.0154913 0.0678719i
\(716\) −37.7289 −1.41000
\(717\) 48.3267 1.80479
\(718\) 0.223289 0.978291i 0.00833305 0.0365095i
\(719\) 43.2874 20.8461i 1.61435 0.777429i 0.614415 0.788983i \(-0.289392\pi\)
0.999933 + 0.0115535i \(0.00367769\pi\)
\(720\) −7.66996 9.61783i −0.285843 0.358435i
\(721\) −5.72362 + 4.34861i −0.213159 + 0.161951i
\(722\) 2.08312 2.61214i 0.0775255 0.0972139i
\(723\) 0.896171 3.92638i 0.0333290 0.146024i
\(724\) −8.05919 + 10.1059i −0.299518 + 0.375583i
\(725\) 40.5464 19.5261i 1.50585 0.725181i
\(726\) −1.54141 1.93287i −0.0572071 0.0717354i
\(727\) −16.9918 8.18283i −0.630192 0.303484i 0.0913883 0.995815i \(-0.470870\pi\)
−0.721580 + 0.692331i \(0.756584\pi\)
\(728\) −0.0649373 + 2.76559i −0.00240674 + 0.102500i
\(729\) 37.8521 18.2286i 1.40193 0.675134i
\(730\) −2.09057 1.00677i −0.0773756 0.0372621i
\(731\) −1.23472 5.40967i −0.0456678 0.200084i
\(732\) 55.8457 + 26.8939i 2.06412 + 0.994026i
\(733\) −18.5554 + 23.2677i −0.685360 + 0.859414i −0.995836 0.0911675i \(-0.970940\pi\)
0.310476 + 0.950581i \(0.399512\pi\)
\(734\) −0.875044 −0.0322984
\(735\) 3.58028 12.8688i 0.132061 0.474673i
\(736\) −4.84197 −0.178477
\(737\) −1.96549 + 2.46465i −0.0723997 + 0.0907864i
\(738\) 12.4113 + 5.97698i 0.456867 + 0.220016i
\(739\) 6.37677 + 27.9384i 0.234573 + 1.02773i 0.945795 + 0.324765i \(0.105285\pi\)
−0.711222 + 0.702968i \(0.751858\pi\)
\(740\) 6.63206 + 3.19383i 0.243799 + 0.117408i
\(741\) 6.52414 3.14186i 0.239670 0.115419i
\(742\) 1.61879 1.22990i 0.0594278 0.0451512i
\(743\) 32.7430 + 15.7682i 1.20122 + 0.578479i 0.924024 0.382334i \(-0.124880\pi\)
0.277199 + 0.960813i \(0.410594\pi\)
\(744\) 13.6062 + 17.0616i 0.498827 + 0.625510i
\(745\) −11.1681 + 5.37827i −0.409167 + 0.197044i
\(746\) −4.05773 + 5.08823i −0.148564 + 0.186293i
\(747\) −8.23232 + 36.0682i −0.301205 + 1.31966i
\(748\) −2.16951 + 2.72048i −0.0793253 + 0.0994707i
\(749\) 37.3357 7.60422i 1.36422 0.277852i
\(750\) 3.02433 + 3.79240i 0.110433 + 0.138479i
\(751\) 20.0731 9.66669i 0.732477 0.352743i −0.0301806 0.999544i \(-0.509608\pi\)
0.762658 + 0.646802i \(0.223894\pi\)
\(752\) 6.97016 30.5383i 0.254176 1.11362i
\(753\) 28.5901 1.04188
\(754\) −2.63059 −0.0958003
\(755\) −0.199915 + 0.875885i −0.00727565 + 0.0318767i
\(756\) −0.730094 + 31.0937i −0.0265532 + 1.13087i
\(757\) 7.60243 + 33.3084i 0.276315 + 1.21062i 0.902413 + 0.430871i \(0.141794\pi\)
−0.626098 + 0.779744i \(0.715349\pi\)
\(758\) 1.88312 + 8.25050i 0.0683981 + 0.299672i
\(759\) −7.87214 9.87135i −0.285740 0.358307i
\(760\) −1.10715 1.38832i −0.0401605 0.0503596i
\(761\) 3.50479 + 15.3555i 0.127049 + 0.556636i 0.997882 + 0.0650570i \(0.0207229\pi\)
−0.870833 + 0.491579i \(0.836420\pi\)
\(762\) −1.78783 7.83298i −0.0647662 0.283759i
\(763\) −19.7556 43.6133i −0.715201 1.57891i
\(764\) 7.79586 34.1559i 0.282044 1.23572i
\(765\) −2.22725 −0.0805263
\(766\) −0.568034 −0.0205239
\(767\) −0.382324 + 1.67507i −0.0138049 + 0.0604833i
\(768\) 27.3207 13.1570i 0.985851 0.474761i
\(769\) −11.4170 14.3165i −0.411708 0.516266i 0.532135 0.846660i \(-0.321390\pi\)
−0.943843 + 0.330394i \(0.892818\pi\)
\(770\) 1.00522 + 0.840985i 0.0362255 + 0.0303070i
\(771\) −22.8056 + 28.5973i −0.821323 + 1.02991i
\(772\) 7.86946 34.4784i 0.283228 1.24090i
\(773\) −5.04731 + 6.32913i −0.181539 + 0.227643i −0.864271 0.503026i \(-0.832220\pi\)
0.682732 + 0.730669i \(0.260792\pi\)
\(774\) 10.5416 5.07658i 0.378911 0.182474i <