Properties

Label 224.2.bd.a.37.11
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.11
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.480321 - 1.33015i) q^{2} +(-0.758838 + 0.988936i) q^{3} +(-1.53858 + 1.27780i) q^{4} +(0.171111 - 0.131298i) q^{5} +(1.67992 + 0.534359i) q^{6} +(1.01488 - 2.44336i) q^{7} +(2.43867 + 1.43279i) q^{8} +(0.374296 + 1.39689i) q^{9} +O(q^{10})\) \(q+(-0.480321 - 1.33015i) q^{2} +(-0.758838 + 0.988936i) q^{3} +(-1.53858 + 1.27780i) q^{4} +(0.171111 - 0.131298i) q^{5} +(1.67992 + 0.534359i) q^{6} +(1.01488 - 2.44336i) q^{7} +(2.43867 + 1.43279i) q^{8} +(0.374296 + 1.39689i) q^{9} +(-0.256834 - 0.164537i) q^{10} +(2.10346 - 0.276926i) q^{11} +(-0.0961237 - 2.49120i) q^{12} +(3.53590 - 1.46462i) q^{13} +(-3.73750 - 0.176348i) q^{14} +0.268851i q^{15} +(0.734477 - 3.93199i) q^{16} +(6.24315 - 3.60448i) q^{17} +(1.67829 - 1.16883i) q^{18} +(-0.462645 + 3.51414i) q^{19} +(-0.0954963 + 0.420657i) q^{20} +(1.64620 + 2.85777i) q^{21} +(-1.37869 - 2.66490i) q^{22} +(-1.34605 - 5.02353i) q^{23} +(-3.26749 + 1.32443i) q^{24} +(-1.28206 + 4.78470i) q^{25} +(-3.64652 - 3.99978i) q^{26} +(-5.12039 - 2.12094i) q^{27} +(1.56063 + 5.05613i) q^{28} +(2.56271 + 6.18694i) q^{29} +(0.357612 - 0.129135i) q^{30} +(-2.46695 - 4.27288i) q^{31} +(-5.58291 + 0.911655i) q^{32} +(-1.32232 + 2.29033i) q^{33} +(-7.79321 - 6.57300i) q^{34} +(-0.147150 - 0.551337i) q^{35} +(-2.36083 - 1.67096i) q^{36} +(-2.06576 + 1.58511i) q^{37} +(4.89654 - 1.07253i) q^{38} +(-1.23476 + 4.60818i) q^{39} +(0.605405 - 0.0750265i) q^{40} +(4.31161 - 4.31161i) q^{41} +(3.01055 - 3.56233i) q^{42} +(-4.15699 + 10.0359i) q^{43} +(-2.88250 + 3.11387i) q^{44} +(0.247455 + 0.189879i) q^{45} +(-6.03550 + 4.20335i) q^{46} +(4.71097 + 2.71988i) q^{47} +(3.33114 + 3.71009i) q^{48} +(-4.94002 - 4.95946i) q^{49} +(6.98015 - 0.592868i) q^{50} +(-1.17293 + 8.90930i) q^{51} +(-3.56879 + 6.77158i) q^{52} +(6.20584 - 0.817015i) q^{53} +(-0.361725 + 7.82960i) q^{54} +(0.323565 - 0.323565i) q^{55} +(5.97579 - 4.50443i) q^{56} +(-3.12418 - 3.12418i) q^{57} +(6.99861 - 6.38050i) q^{58} +(-0.990748 - 7.52548i) q^{59} +(-0.343537 - 0.413650i) q^{60} +(-0.817471 - 0.107622i) q^{61} +(-4.49863 + 5.33376i) q^{62} +(3.79298 + 0.503144i) q^{63} +(3.89422 + 6.98821i) q^{64} +(0.412729 - 0.714867i) q^{65} +(3.68162 + 0.658791i) q^{66} +(-2.72913 + 3.55667i) q^{67} +(-4.99981 + 13.5233i) q^{68} +(5.98939 + 2.48089i) q^{69} +(-0.662680 + 0.460551i) q^{70} +(-2.53740 - 2.53740i) q^{71} +(-1.08867 + 3.94285i) q^{72} +(-11.7032 - 3.13587i) q^{73} +(3.10066 + 1.98640i) q^{74} +(-3.75889 - 4.89868i) q^{75} +(-3.77853 - 5.99796i) q^{76} +(1.45814 - 5.42056i) q^{77} +(6.72264 - 0.570996i) q^{78} +(-2.02495 - 1.16910i) q^{79} +(-0.390585 - 0.769241i) q^{80} +(2.22575 - 1.28504i) q^{81} +(-7.80603 - 3.66412i) q^{82} +(-1.12785 + 0.467172i) q^{83} +(-6.18445 - 2.29342i) q^{84} +(0.595009 - 1.43648i) q^{85} +(15.3459 + 0.708973i) q^{86} +(-8.06317 - 2.16052i) q^{87} +(5.52643 + 2.33849i) q^{88} +(-16.0470 + 4.29977i) q^{89} +(0.133709 - 0.420355i) q^{90} +(0.00994050 - 10.1259i) q^{91} +(8.49006 + 6.00914i) q^{92} +(6.09762 + 0.802767i) q^{93} +(1.35506 - 7.57270i) q^{94} +(0.382235 + 0.662051i) q^{95} +(3.33495 - 6.21294i) q^{96} +10.3954 q^{97} +(-4.22401 + 8.95308i) q^{98} +(1.17415 + 2.83466i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.480321 1.33015i −0.339638 0.940556i
\(3\) −0.758838 + 0.988936i −0.438115 + 0.570963i −0.959267 0.282501i \(-0.908836\pi\)
0.521152 + 0.853464i \(0.325503\pi\)
\(4\) −1.53858 + 1.27780i −0.769292 + 0.638898i
\(5\) 0.171111 0.131298i 0.0765231 0.0587182i −0.569792 0.821789i \(-0.692976\pi\)
0.646315 + 0.763071i \(0.276309\pi\)
\(6\) 1.67992 + 0.534359i 0.685823 + 0.218151i
\(7\) 1.01488 2.44336i 0.383590 0.923503i
\(8\) 2.43867 + 1.43279i 0.862200 + 0.506568i
\(9\) 0.374296 + 1.39689i 0.124765 + 0.465631i
\(10\) −0.256834 0.164537i −0.0812179 0.0520313i
\(11\) 2.10346 0.276926i 0.634218 0.0834963i 0.193439 0.981112i \(-0.438036\pi\)
0.440778 + 0.897616i \(0.354702\pi\)
\(12\) −0.0961237 2.49120i −0.0277485 0.719148i
\(13\) 3.53590 1.46462i 0.980681 0.406211i 0.166003 0.986125i \(-0.446914\pi\)
0.814678 + 0.579914i \(0.196914\pi\)
\(14\) −3.73750 0.176348i −0.998889 0.0471310i
\(15\) 0.268851i 0.0694171i
\(16\) 0.734477 3.93199i 0.183619 0.982997i
\(17\) 6.24315 3.60448i 1.51419 0.874216i 0.514324 0.857596i \(-0.328043\pi\)
0.999862 0.0166201i \(-0.00529058\pi\)
\(18\) 1.67829 1.16883i 0.395577 0.275495i
\(19\) −0.462645 + 3.51414i −0.106138 + 0.806198i 0.852731 + 0.522350i \(0.174945\pi\)
−0.958869 + 0.283848i \(0.908389\pi\)
\(20\) −0.0954963 + 0.420657i −0.0213536 + 0.0940618i
\(21\) 1.64620 + 2.85777i 0.359229 + 0.623616i
\(22\) −1.37869 2.66490i −0.293938 0.568159i
\(23\) −1.34605 5.02353i −0.280671 1.04748i −0.951945 0.306269i \(-0.900919\pi\)
0.671274 0.741210i \(-0.265747\pi\)
\(24\) −3.26749 + 1.32443i −0.666974 + 0.270349i
\(25\) −1.28206 + 4.78470i −0.256411 + 0.956939i
\(26\) −3.64652 3.99978i −0.715141 0.784421i
\(27\) −5.12039 2.12094i −0.985420 0.408174i
\(28\) 1.56063 + 5.05613i 0.294932 + 0.955518i
\(29\) 2.56271 + 6.18694i 0.475884 + 1.14889i 0.961523 + 0.274726i \(0.0885871\pi\)
−0.485639 + 0.874160i \(0.661413\pi\)
\(30\) 0.357612 0.129135i 0.0652907 0.0235767i
\(31\) −2.46695 4.27288i −0.443077 0.767432i 0.554839 0.831958i \(-0.312780\pi\)
−0.997916 + 0.0645260i \(0.979446\pi\)
\(32\) −5.58291 + 0.911655i −0.986928 + 0.161159i
\(33\) −1.32232 + 2.29033i −0.230187 + 0.398696i
\(34\) −7.79321 6.57300i −1.33652 1.12726i
\(35\) −0.147150 0.551337i −0.0248730 0.0931930i
\(36\) −2.36083 1.67096i −0.393472 0.278494i
\(37\) −2.06576 + 1.58511i −0.339609 + 0.260591i −0.764459 0.644673i \(-0.776994\pi\)
0.424850 + 0.905264i \(0.360327\pi\)
\(38\) 4.89654 1.07253i 0.794323 0.173987i
\(39\) −1.23476 + 4.60818i −0.197720 + 0.737900i
\(40\) 0.605405 0.0750265i 0.0957229 0.0118627i
\(41\) 4.31161 4.31161i 0.673360 0.673360i −0.285129 0.958489i \(-0.592036\pi\)
0.958489 + 0.285129i \(0.0920365\pi\)
\(42\) 3.01055 3.56233i 0.464538 0.549679i
\(43\) −4.15699 + 10.0359i −0.633935 + 1.53046i 0.200700 + 0.979653i \(0.435678\pi\)
−0.834635 + 0.550803i \(0.814322\pi\)
\(44\) −2.88250 + 3.11387i −0.434553 + 0.469433i
\(45\) 0.247455 + 0.189879i 0.0368885 + 0.0283055i
\(46\) −6.03550 + 4.20335i −0.889886 + 0.619751i
\(47\) 4.71097 + 2.71988i 0.687165 + 0.396735i 0.802549 0.596586i \(-0.203476\pi\)
−0.115384 + 0.993321i \(0.536810\pi\)
\(48\) 3.33114 + 3.71009i 0.480808 + 0.535506i
\(49\) −4.94002 4.95946i −0.705717 0.708494i
\(50\) 6.98015 0.592868i 0.987142 0.0838442i
\(51\) −1.17293 + 8.90930i −0.164243 + 1.24755i
\(52\) −3.56879 + 6.77158i −0.494902 + 0.939050i
\(53\) 6.20584 0.817015i 0.852438 0.112226i 0.308370 0.951267i \(-0.400217\pi\)
0.544068 + 0.839041i \(0.316883\pi\)
\(54\) −0.361725 + 7.82960i −0.0492245 + 1.06547i
\(55\) 0.323565 0.323565i 0.0436295 0.0436295i
\(56\) 5.97579 4.50443i 0.798549 0.601930i
\(57\) −3.12418 3.12418i −0.413808 0.413808i
\(58\) 6.99861 6.38050i 0.918963 0.837801i
\(59\) −0.990748 7.52548i −0.128984 0.979734i −0.926463 0.376387i \(-0.877166\pi\)
0.797478 0.603348i \(-0.206167\pi\)
\(60\) −0.343537 0.413650i −0.0443505 0.0534020i
\(61\) −0.817471 0.107622i −0.104666 0.0137796i 0.0780110 0.996952i \(-0.475143\pi\)
−0.182677 + 0.983173i \(0.558476\pi\)
\(62\) −4.49863 + 5.33376i −0.571327 + 0.677388i
\(63\) 3.79298 + 0.503144i 0.477871 + 0.0633902i
\(64\) 3.89422 + 6.98821i 0.486778 + 0.873526i
\(65\) 0.412729 0.714867i 0.0511927 0.0886684i
\(66\) 3.68162 + 0.658791i 0.453176 + 0.0810915i
\(67\) −2.72913 + 3.55667i −0.333416 + 0.434517i −0.929734 0.368232i \(-0.879963\pi\)
0.596318 + 0.802749i \(0.296630\pi\)
\(68\) −4.99981 + 13.5233i −0.606316 + 1.63994i
\(69\) 5.98939 + 2.48089i 0.721038 + 0.298664i
\(70\) −0.662680 + 0.460551i −0.0792055 + 0.0550463i
\(71\) −2.53740 2.53740i −0.301133 0.301133i 0.540324 0.841457i \(-0.318302\pi\)
−0.841457 + 0.540324i \(0.818302\pi\)
\(72\) −1.08867 + 3.94285i −0.128301 + 0.464669i
\(73\) −11.7032 3.13587i −1.36976 0.367026i −0.502369 0.864654i \(-0.667538\pi\)
−0.867391 + 0.497628i \(0.834205\pi\)
\(74\) 3.10066 + 1.98640i 0.360445 + 0.230915i
\(75\) −3.75889 4.89868i −0.434039 0.565651i
\(76\) −3.77853 5.99796i −0.433427 0.688013i
\(77\) 1.45814 5.42056i 0.166171 0.617731i
\(78\) 6.72264 0.570996i 0.761189 0.0646526i
\(79\) −2.02495 1.16910i −0.227824 0.131534i 0.381744 0.924268i \(-0.375324\pi\)
−0.609568 + 0.792734i \(0.708657\pi\)
\(80\) −0.390585 0.769241i −0.0436687 0.0860038i
\(81\) 2.22575 1.28504i 0.247306 0.142782i
\(82\) −7.80603 3.66412i −0.862032 0.404634i
\(83\) −1.12785 + 0.467172i −0.123798 + 0.0512788i −0.443723 0.896164i \(-0.646342\pi\)
0.319925 + 0.947443i \(0.396342\pi\)
\(84\) −6.18445 2.29342i −0.674779 0.250232i
\(85\) 0.595009 1.43648i 0.0645378 0.155808i
\(86\) 15.3459 + 0.708973i 1.65479 + 0.0764506i
\(87\) −8.06317 2.16052i −0.864463 0.231632i
\(88\) 5.52643 + 2.33849i 0.589119 + 0.249284i
\(89\) −16.0470 + 4.29977i −1.70098 + 0.455775i −0.973185 0.230025i \(-0.926119\pi\)
−0.727790 + 0.685800i \(0.759453\pi\)
\(90\) 0.133709 0.420355i 0.0140942 0.0443093i
\(91\) 0.00994050 10.1259i 0.00104205 1.06148i
\(92\) 8.49006 + 6.00914i 0.885150 + 0.626497i
\(93\) 6.09762 + 0.802767i 0.632294 + 0.0832430i
\(94\) 1.35506 7.57270i 0.139764 0.781064i
\(95\) 0.382235 + 0.662051i 0.0392165 + 0.0679250i
\(96\) 3.33495 6.21294i 0.340372 0.634106i
\(97\) 10.3954 1.05549 0.527746 0.849402i \(-0.323037\pi\)
0.527746 + 0.849402i \(0.323037\pi\)
\(98\) −4.22401 + 8.95308i −0.426690 + 0.904398i
\(99\) 1.17415 + 2.83466i 0.118007 + 0.284894i
\(100\) −4.14131 8.99986i −0.414131 0.899986i
\(101\) −0.0248310 0.188610i −0.00247077 0.0187674i 0.990165 0.139904i \(-0.0446794\pi\)
−0.992636 + 0.121137i \(0.961346\pi\)
\(102\) 12.4141 2.71915i 1.22917 0.269236i
\(103\) 0.208871 0.0559668i 0.0205807 0.00551457i −0.248514 0.968628i \(-0.579942\pi\)
0.269095 + 0.963114i \(0.413276\pi\)
\(104\) 10.7214 + 1.49448i 1.05132 + 0.146546i
\(105\) 0.656901 + 0.272853i 0.0641070 + 0.0266277i
\(106\) −4.06755 7.86226i −0.395075 0.763650i
\(107\) 1.16521 + 1.51853i 0.112645 + 0.146802i 0.846273 0.532749i \(-0.178841\pi\)
−0.733628 + 0.679551i \(0.762174\pi\)
\(108\) 10.5883 3.27958i 1.01886 0.315577i
\(109\) −14.8637 11.4053i −1.42368 1.09243i −0.980615 0.195943i \(-0.937223\pi\)
−0.443068 0.896488i \(-0.646110\pi\)
\(110\) −0.585804 0.274974i −0.0558543 0.0262178i
\(111\) 3.24575i 0.308073i
\(112\) −8.86186 5.78511i −0.837367 0.546641i
\(113\) 1.46473i 0.137790i −0.997624 0.0688950i \(-0.978053\pi\)
0.997624 0.0688950i \(-0.0219474\pi\)
\(114\) −2.65501 + 5.65624i −0.248665 + 0.529755i
\(115\) −0.889903 0.682847i −0.0829839 0.0636758i
\(116\) −11.8486 6.24450i −1.10011 0.579787i
\(117\) 3.36939 + 4.39107i 0.311500 + 0.405954i
\(118\) −9.53412 + 4.93249i −0.877687 + 0.454072i
\(119\) −2.47098 18.9124i −0.226514 1.73370i
\(120\) −0.385208 + 0.655640i −0.0351645 + 0.0598515i
\(121\) −6.27732 + 1.68200i −0.570665 + 0.152909i
\(122\) 0.249495 + 1.13905i 0.0225883 + 0.103125i
\(123\) 0.992096 + 7.53572i 0.0894543 + 0.679473i
\(124\) 9.25547 + 3.42193i 0.831166 + 0.307298i
\(125\) 0.821534 + 1.98336i 0.0734802 + 0.177397i
\(126\) −1.15259 5.28689i −0.102681 0.470994i
\(127\) 21.8084 1.93518 0.967590 0.252526i \(-0.0812612\pi\)
0.967590 + 0.252526i \(0.0812612\pi\)
\(128\) 7.42486 8.53647i 0.656271 0.754525i
\(129\) −6.77035 11.7266i −0.596096 1.03247i
\(130\) −1.14912 0.205624i −0.100785 0.0180344i
\(131\) −5.89963 0.776701i −0.515453 0.0678607i −0.131688 0.991291i \(-0.542040\pi\)
−0.383766 + 0.923431i \(0.625373\pi\)
\(132\) −0.892071 5.21353i −0.0776448 0.453779i
\(133\) 8.11677 + 4.69685i 0.703813 + 0.407269i
\(134\) 6.04176 + 1.92180i 0.521928 + 0.166018i
\(135\) −1.15463 + 0.309382i −0.0993746 + 0.0266273i
\(136\) 20.3895 + 0.154976i 1.74838 + 0.0132890i
\(137\) −2.30349 0.617217i −0.196800 0.0527324i 0.159073 0.987267i \(-0.449150\pi\)
−0.355873 + 0.934534i \(0.615816\pi\)
\(138\) 0.423114 9.15839i 0.0360179 0.779614i
\(139\) −0.998247 + 2.40998i −0.0846702 + 0.204412i −0.960544 0.278129i \(-0.910286\pi\)
0.875874 + 0.482541i \(0.160286\pi\)
\(140\) 0.930900 + 0.660250i 0.0786754 + 0.0558013i
\(141\) −6.26465 + 2.59490i −0.527578 + 0.218530i
\(142\) −2.15634 + 4.59387i −0.180956 + 0.385509i
\(143\) 7.03203 4.05995i 0.588048 0.339510i
\(144\) 5.76748 0.445743i 0.480624 0.0371453i
\(145\) 1.25084 + 0.722173i 0.103877 + 0.0599732i
\(146\) 1.45014 + 17.0732i 0.120014 + 1.41299i
\(147\) 8.65326 1.12194i 0.713709 0.0925363i
\(148\) 1.15289 5.07845i 0.0947673 0.417446i
\(149\) 8.94508 + 11.6575i 0.732810 + 0.955016i 0.999963 0.00863800i \(-0.00274959\pi\)
−0.267153 + 0.963654i \(0.586083\pi\)
\(150\) −4.71049 + 7.35281i −0.384610 + 0.600355i
\(151\) 1.80749 + 0.484316i 0.147092 + 0.0394131i 0.331614 0.943415i \(-0.392407\pi\)
−0.184522 + 0.982828i \(0.559074\pi\)
\(152\) −6.16326 + 7.90695i −0.499906 + 0.641338i
\(153\) 7.37187 + 7.37187i 0.595980 + 0.595980i
\(154\) −7.91052 + 0.664069i −0.637448 + 0.0535122i
\(155\) −0.983141 0.407230i −0.0789678 0.0327095i
\(156\) −3.98853 8.66784i −0.319338 0.693983i
\(157\) −1.09817 + 1.43116i −0.0876436 + 0.114219i −0.835117 0.550072i \(-0.814600\pi\)
0.747473 + 0.664292i \(0.231267\pi\)
\(158\) −0.582455 + 3.25502i −0.0463376 + 0.258956i
\(159\) −3.90125 + 6.75716i −0.309389 + 0.535878i
\(160\) −0.835598 + 0.889018i −0.0660598 + 0.0702831i
\(161\) −13.6404 1.80942i −1.07501 0.142602i
\(162\) −2.77837 2.34335i −0.218289 0.184111i
\(163\) −13.6305 1.79450i −1.06763 0.140556i −0.423822 0.905746i \(-0.639312\pi\)
−0.643805 + 0.765190i \(0.722645\pi\)
\(164\) −1.12441 + 12.1431i −0.0878020 + 0.948218i
\(165\) 0.0744520 + 0.565519i 0.00579608 + 0.0440256i
\(166\) 1.16314 + 1.27582i 0.0902772 + 0.0990228i
\(167\) −0.443775 0.443775i −0.0343403 0.0343403i 0.689728 0.724068i \(-0.257730\pi\)
−0.724068 + 0.689728i \(0.757730\pi\)
\(168\) −0.0800562 + 9.32781i −0.00617647 + 0.719656i
\(169\) 1.16507 1.16507i 0.0896206 0.0896206i
\(170\) −2.19652 0.101478i −0.168466 0.00778305i
\(171\) −5.08204 + 0.669063i −0.388633 + 0.0511645i
\(172\) −6.42791 20.7528i −0.490123 1.58239i
\(173\) 0.535394 4.06672i 0.0407052 0.309187i −0.958965 0.283523i \(-0.908497\pi\)
0.999671 0.0256639i \(-0.00816996\pi\)
\(174\) 0.999101 + 11.7629i 0.0757417 + 0.891747i
\(175\) 10.3896 + 7.98844i 0.785380 + 0.603869i
\(176\) 0.456075 8.47419i 0.0343779 0.638766i
\(177\) 8.19404 + 4.73083i 0.615902 + 0.355591i
\(178\) 13.4270 + 19.2796i 1.00640 + 1.44506i
\(179\) 20.0529 + 15.3871i 1.49882 + 1.15009i 0.949199 + 0.314677i \(0.101896\pi\)
0.549625 + 0.835411i \(0.314770\pi\)
\(180\) −0.623357 + 0.0240524i −0.0464623 + 0.00179276i
\(181\) −1.08379 + 2.61651i −0.0805578 + 0.194484i −0.959027 0.283316i \(-0.908566\pi\)
0.878469 + 0.477800i \(0.158566\pi\)
\(182\) −13.4737 + 4.85045i −0.998736 + 0.359539i
\(183\) 0.726759 0.726759i 0.0537236 0.0537236i
\(184\) 3.91509 14.1793i 0.288624 1.04532i
\(185\) −0.145352 + 0.542460i −0.0106865 + 0.0398825i
\(186\) −1.86102 8.49632i −0.136456 0.622980i
\(187\) 12.1341 9.31079i 0.887330 0.680872i
\(188\) −10.7237 + 1.83489i −0.782104 + 0.133823i
\(189\) −10.3788 + 10.3585i −0.754948 + 0.753467i
\(190\) 0.697029 0.826426i 0.0505678 0.0599552i
\(191\) −6.61571 + 11.4587i −0.478696 + 0.829125i −0.999702 0.0244277i \(-0.992224\pi\)
0.521006 + 0.853553i \(0.325557\pi\)
\(192\) −9.86597 1.45177i −0.712015 0.104773i
\(193\) −1.04305 1.80661i −0.0750803 0.130043i 0.826041 0.563610i \(-0.190588\pi\)
−0.901121 + 0.433567i \(0.857255\pi\)
\(194\) −4.99313 13.8274i −0.358486 0.992750i
\(195\) 0.393764 + 0.950631i 0.0281980 + 0.0680761i
\(196\) 13.9378 + 1.31820i 0.995557 + 0.0941572i
\(197\) −17.8938 7.41186i −1.27488 0.528073i −0.360437 0.932784i \(-0.617372\pi\)
−0.914445 + 0.404710i \(0.867372\pi\)
\(198\) 3.20654 2.92335i 0.227879 0.207753i
\(199\) −4.53719 + 16.9330i −0.321633 + 1.20035i 0.596021 + 0.802969i \(0.296748\pi\)
−0.917654 + 0.397381i \(0.869919\pi\)
\(200\) −9.98198 + 9.83138i −0.705832 + 0.695184i
\(201\) −1.44636 5.39787i −0.102018 0.380737i
\(202\) −0.238952 + 0.123622i −0.0168126 + 0.00869803i
\(203\) 17.7178 + 0.0173934i 1.24354 + 0.00122078i
\(204\) −9.57961 15.2065i −0.670707 1.06467i
\(205\) 0.171657 1.30387i 0.0119891 0.0910661i
\(206\) −0.174769 0.250947i −0.0121767 0.0174843i
\(207\) 6.51352 3.76058i 0.452721 0.261378i
\(208\) −3.16182 14.9788i −0.219233 1.03860i
\(209\) 7.51997i 0.520167i
\(210\) 0.0474114 1.00483i 0.00327170 0.0693400i
\(211\) −19.7231 + 8.16958i −1.35779 + 0.562417i −0.938452 0.345411i \(-0.887740\pi\)
−0.419343 + 0.907828i \(0.637740\pi\)
\(212\) −8.50423 + 9.18684i −0.584073 + 0.630955i
\(213\) 4.43479 0.583852i 0.303867 0.0400049i
\(214\) 1.46020 2.27929i 0.0998171 0.155809i
\(215\) 0.606382 + 2.26305i 0.0413549 + 0.154339i
\(216\) −9.44809 12.5087i −0.642861 0.851110i
\(217\) −12.9438 + 1.69116i −0.878686 + 0.114804i
\(218\) −8.03140 + 25.2491i −0.543955 + 1.71009i
\(219\) 11.9820 9.19413i 0.809670 0.621282i
\(220\) −0.0843818 + 0.911282i −0.00568902 + 0.0614386i
\(221\) 16.7959 21.8889i 1.12982 1.47241i
\(222\) −4.31733 + 1.55900i −0.289760 + 0.104633i
\(223\) −10.3561 −0.693498 −0.346749 0.937958i \(-0.612714\pi\)
−0.346749 + 0.937958i \(0.612714\pi\)
\(224\) −3.43851 + 14.5663i −0.229745 + 0.973251i
\(225\) −7.16358 −0.477572
\(226\) −1.94830 + 0.703540i −0.129599 + 0.0467988i
\(227\) 10.8095 14.0872i 0.717450 0.934999i −0.282254 0.959340i \(-0.591082\pi\)
0.999704 + 0.0243408i \(0.00774869\pi\)
\(228\) 8.79889 + 0.814749i 0.582721 + 0.0539581i
\(229\) −9.61260 + 7.37601i −0.635219 + 0.487420i −0.875459 0.483293i \(-0.839441\pi\)
0.240240 + 0.970714i \(0.422774\pi\)
\(230\) −0.480847 + 1.51169i −0.0317061 + 0.0996777i
\(231\) 4.25410 + 5.55534i 0.279899 + 0.365514i
\(232\) −2.61497 + 18.7597i −0.171681 + 1.23164i
\(233\) 3.86660 + 14.4304i 0.253310 + 0.945364i 0.969023 + 0.246970i \(0.0794350\pi\)
−0.715713 + 0.698394i \(0.753898\pi\)
\(234\) 4.22238 6.59090i 0.276026 0.430861i
\(235\) 1.16321 0.153140i 0.0758796 0.00998973i
\(236\) 11.1404 + 10.3126i 0.725177 + 0.671294i
\(237\) 2.69277 1.11538i 0.174914 0.0724519i
\(238\) −23.9694 + 12.3708i −1.55371 + 0.801879i
\(239\) 25.1348i 1.62584i −0.582379 0.812918i \(-0.697878\pi\)
0.582379 0.812918i \(-0.302122\pi\)
\(240\) 1.05712 + 0.197465i 0.0682369 + 0.0127463i
\(241\) 11.2112 6.47277i 0.722175 0.416948i −0.0933776 0.995631i \(-0.529766\pi\)
0.815553 + 0.578683i \(0.196433\pi\)
\(242\) 5.25244 + 7.54186i 0.337640 + 0.484809i
\(243\) 1.75207 13.3083i 0.112395 0.853728i
\(244\) 1.39527 0.878976i 0.0893228 0.0562706i
\(245\) −1.49646 0.200002i −0.0956051 0.0127777i
\(246\) 9.54709 4.93920i 0.608700 0.314912i
\(247\) 3.51100 + 13.1032i 0.223399 + 0.833738i
\(248\) 0.106067 13.9548i 0.00673526 0.886128i
\(249\) 0.393854 1.46988i 0.0249595 0.0931501i
\(250\) 2.24356 2.04541i 0.141895 0.129363i
\(251\) −2.13451 0.884142i −0.134729 0.0558065i 0.314300 0.949324i \(-0.398230\pi\)
−0.449029 + 0.893517i \(0.648230\pi\)
\(252\) −6.47873 + 4.07253i −0.408122 + 0.256545i
\(253\) −4.22251 10.1941i −0.265467 0.640895i
\(254\) −10.4750 29.0084i −0.657261 1.82015i
\(255\) 0.969071 + 1.67848i 0.0606856 + 0.105110i
\(256\) −14.9211 5.77591i −0.932568 0.360995i
\(257\) −7.31441 + 12.6689i −0.456261 + 0.790267i −0.998760 0.0497898i \(-0.984145\pi\)
0.542499 + 0.840056i \(0.317478\pi\)
\(258\) −12.3462 + 14.6381i −0.768638 + 0.911328i
\(259\) 1.77650 + 6.65611i 0.110386 + 0.413590i
\(260\) 0.278436 + 1.62727i 0.0172679 + 0.100919i
\(261\) −7.68328 + 5.89559i −0.475583 + 0.364928i
\(262\) 1.80059 + 8.22045i 0.111241 + 0.507861i
\(263\) −3.08270 + 11.5048i −0.190087 + 0.709415i 0.803397 + 0.595444i \(0.203024\pi\)
−0.993484 + 0.113971i \(0.963643\pi\)
\(264\) −6.50628 + 3.69075i −0.400434 + 0.227150i
\(265\) 0.954614 0.954614i 0.0586415 0.0586415i
\(266\) 2.34885 13.0525i 0.144017 0.800300i
\(267\) 7.92484 19.1323i 0.484992 1.17088i
\(268\) −0.345705 8.95951i −0.0211173 0.547289i
\(269\) −22.3885 17.1793i −1.36505 1.04744i −0.992860 0.119285i \(-0.961940\pi\)
−0.372192 0.928156i \(-0.621394\pi\)
\(270\) 0.966116 + 1.38722i 0.0587959 + 0.0844237i
\(271\) 23.1368 + 13.3580i 1.40546 + 0.811443i 0.994946 0.100412i \(-0.0320160\pi\)
0.410514 + 0.911854i \(0.365349\pi\)
\(272\) −9.58734 27.1954i −0.581318 1.64896i
\(273\) 10.0063 + 7.69373i 0.605609 + 0.465646i
\(274\) 0.285423 + 3.36044i 0.0172430 + 0.203012i
\(275\) −1.37175 + 10.4195i −0.0827195 + 0.628317i
\(276\) −12.3852 + 3.83616i −0.745504 + 0.230910i
\(277\) −3.03152 + 0.399107i −0.182146 + 0.0239800i −0.221048 0.975263i \(-0.570948\pi\)
0.0389012 + 0.999243i \(0.487614\pi\)
\(278\) 3.68511 + 0.170251i 0.221018 + 0.0102110i
\(279\) 5.04539 5.04539i 0.302059 0.302059i
\(280\) 0.431099 1.55537i 0.0257631 0.0929509i
\(281\) 7.10678 + 7.10678i 0.423955 + 0.423955i 0.886563 0.462608i \(-0.153086\pi\)
−0.462608 + 0.886563i \(0.653086\pi\)
\(282\) 6.46064 + 7.08652i 0.384726 + 0.421996i
\(283\) 3.54274 + 26.9098i 0.210594 + 1.59962i 0.691185 + 0.722678i \(0.257089\pi\)
−0.480591 + 0.876945i \(0.659578\pi\)
\(284\) 7.14627 + 0.661722i 0.424053 + 0.0392660i
\(285\) −0.944781 0.124383i −0.0559640 0.00736780i
\(286\) −8.77796 7.40356i −0.519052 0.437782i
\(287\) −6.15903 14.9106i −0.363556 0.880145i
\(288\) −3.36315 7.45750i −0.198175 0.439437i
\(289\) 17.4846 30.2842i 1.02851 1.78143i
\(290\) 0.359791 2.01068i 0.0211277 0.118071i
\(291\) −7.88841 + 10.2804i −0.462427 + 0.602647i
\(292\) 22.0134 10.1295i 1.28824 0.592786i
\(293\) 12.9251 + 5.35374i 0.755091 + 0.312769i 0.726817 0.686831i \(-0.240999\pi\)
0.0282738 + 0.999600i \(0.490999\pi\)
\(294\) −5.64869 10.9712i −0.329438 0.639854i
\(295\) −1.15761 1.15761i −0.0673985 0.0673985i
\(296\) −7.30885 + 0.905769i −0.424818 + 0.0526467i
\(297\) −11.3579 3.04334i −0.659052 0.176592i
\(298\) 11.2096 17.4976i 0.649356 1.01361i
\(299\) −12.1170 15.7912i −0.700747 0.913231i
\(300\) 12.0429 + 2.73393i 0.695296 + 0.157844i
\(301\) 20.3024 + 20.3423i 1.17021 + 1.17251i
\(302\) −0.223965 2.63686i −0.0128877 0.151734i
\(303\) 0.205366 + 0.118568i 0.0117980 + 0.00681156i
\(304\) 13.4777 + 4.40017i 0.773002 + 0.252367i
\(305\) −0.154009 + 0.0889170i −0.00881851 + 0.00509137i
\(306\) 6.26481 13.3465i 0.358135 0.762971i
\(307\) 5.63314 2.33332i 0.321500 0.133170i −0.216096 0.976372i \(-0.569332\pi\)
0.537596 + 0.843202i \(0.319332\pi\)
\(308\) 4.68290 + 10.2032i 0.266833 + 0.581381i
\(309\) −0.103151 + 0.249030i −0.00586808 + 0.0141668i
\(310\) −0.0694530 + 1.50332i −0.00394466 + 0.0853831i
\(311\) −19.0790 5.11219i −1.08187 0.289886i −0.326508 0.945195i \(-0.605872\pi\)
−0.755361 + 0.655309i \(0.772539\pi\)
\(312\) −9.61372 + 9.46868i −0.544270 + 0.536059i
\(313\) 12.4518 3.33645i 0.703817 0.188587i 0.110877 0.993834i \(-0.464634\pi\)
0.592939 + 0.805247i \(0.297967\pi\)
\(314\) 2.43113 + 0.773311i 0.137197 + 0.0436405i
\(315\) 0.715082 0.411917i 0.0402903 0.0232089i
\(316\) 4.60942 0.788704i 0.259300 0.0443681i
\(317\) −13.6866 1.80188i −0.768718 0.101204i −0.264040 0.964512i \(-0.585055\pi\)
−0.504677 + 0.863308i \(0.668389\pi\)
\(318\) 10.8619 + 1.94363i 0.609104 + 0.108993i
\(319\) 7.10389 + 12.3043i 0.397742 + 0.688909i
\(320\) 1.58388 + 0.684454i 0.0885416 + 0.0382621i
\(321\) −2.38594 −0.133170
\(322\) 4.14498 + 19.0128i 0.230990 + 1.05954i
\(323\) 9.77829 + 23.6069i 0.544079 + 1.31352i
\(324\) −1.78249 + 4.82120i −0.0990272 + 0.267844i
\(325\) 2.47453 + 18.7959i 0.137262 + 1.04261i
\(326\) 4.16010 + 18.9926i 0.230406 + 1.05190i
\(327\) 22.5583 6.04447i 1.24747 0.334260i
\(328\) 16.6922 4.33696i 0.921674 0.239469i
\(329\) 11.4267 8.75023i 0.629976 0.482416i
\(330\) 0.716462 0.370663i 0.0394400 0.0204043i
\(331\) 7.25779 + 9.45854i 0.398924 + 0.519888i 0.949021 0.315213i \(-0.102076\pi\)
−0.550097 + 0.835101i \(0.685409\pi\)
\(332\) 1.13835 2.15995i 0.0624749 0.118543i
\(333\) −2.98744 2.29235i −0.163711 0.125620i
\(334\) −0.377131 + 0.803440i −0.0206357 + 0.0439623i
\(335\) 0.966914i 0.0528282i
\(336\) 12.4458 4.37386i 0.678975 0.238613i
\(337\) 6.88603i 0.375106i 0.982254 + 0.187553i \(0.0600556\pi\)
−0.982254 + 0.187553i \(0.939944\pi\)
\(338\) −2.10932 0.990106i −0.114732 0.0538546i
\(339\) 1.44852 + 1.11149i 0.0786730 + 0.0603679i
\(340\) 0.920055 + 2.97044i 0.0498970 + 0.161095i
\(341\) −6.37240 8.30468i −0.345085 0.449723i
\(342\) 3.33096 + 6.43850i 0.180118 + 0.348154i
\(343\) −17.1313 + 7.03697i −0.925003 + 0.379961i
\(344\) −24.5168 + 18.5181i −1.32186 + 0.998428i
\(345\) 1.35058 0.361888i 0.0727130 0.0194834i
\(346\) −5.66650 + 1.24118i −0.304633 + 0.0667262i
\(347\) −2.49415 18.9449i −0.133893 1.01702i −0.918053 0.396458i \(-0.870239\pi\)
0.784160 0.620559i \(-0.213094\pi\)
\(348\) 15.1666 6.97894i 0.813013 0.374111i
\(349\) −6.87406 16.5955i −0.367960 0.888334i −0.994084 0.108611i \(-0.965360\pi\)
0.626124 0.779723i \(-0.284640\pi\)
\(350\) 5.63545 17.6567i 0.301228 0.943791i
\(351\) −21.2115 −1.13219
\(352\) −11.4910 + 3.46368i −0.612471 + 0.184615i
\(353\) 8.34381 + 14.4519i 0.444096 + 0.769197i 0.997989 0.0633910i \(-0.0201915\pi\)
−0.553893 + 0.832588i \(0.686858\pi\)
\(354\) 2.35693 13.1716i 0.125270 0.700062i
\(355\) −0.767330 0.101021i −0.0407257 0.00536164i
\(356\) 19.1954 27.1203i 1.01735 1.43737i
\(357\) 20.5782 + 11.9078i 1.08912 + 0.630227i
\(358\) 10.8353 34.0641i 0.572664 1.80034i
\(359\) −6.90872 + 1.85119i −0.364628 + 0.0977019i −0.436481 0.899713i \(-0.643775\pi\)
0.0718529 + 0.997415i \(0.477109\pi\)
\(360\) 0.331405 + 0.817604i 0.0174666 + 0.0430915i
\(361\) 6.21748 + 1.66597i 0.327236 + 0.0876825i
\(362\) 4.00091 + 0.184841i 0.210283 + 0.00971501i
\(363\) 3.10007 7.48424i 0.162712 0.392821i
\(364\) 12.9235 + 15.5922i 0.677376 + 0.817254i
\(365\) −2.41428 + 1.00003i −0.126369 + 0.0523439i
\(366\) −1.31577 0.617619i −0.0687767 0.0322835i
\(367\) −6.59509 + 3.80767i −0.344261 + 0.198759i −0.662155 0.749367i \(-0.730358\pi\)
0.317894 + 0.948126i \(0.397024\pi\)
\(368\) −20.7411 + 1.60299i −1.08121 + 0.0835617i
\(369\) 7.63668 + 4.40904i 0.397549 + 0.229525i
\(370\) 0.791368 0.0672158i 0.0411412 0.00349438i
\(371\) 4.30195 15.9923i 0.223346 0.830278i
\(372\) −10.4075 + 6.55639i −0.539602 + 0.339933i
\(373\) −19.8436 25.8606i −1.02746 1.33901i −0.939372 0.342901i \(-0.888590\pi\)
−0.0880897 0.996113i \(-0.528076\pi\)
\(374\) −18.2130 11.6679i −0.941770 0.603333i
\(375\) −2.58483 0.692602i −0.133480 0.0357658i
\(376\) 7.59148 + 13.3827i 0.391501 + 0.690161i
\(377\) 18.1230 + 18.1230i 0.933381 + 0.933381i
\(378\) 18.7634 + 8.82997i 0.965087 + 0.454164i
\(379\) 12.9076 + 5.34651i 0.663020 + 0.274632i 0.688709 0.725038i \(-0.258178\pi\)
−0.0256886 + 0.999670i \(0.508178\pi\)
\(380\) −1.43407 0.530202i −0.0735660 0.0271988i
\(381\) −16.5490 + 21.5671i −0.847832 + 1.10492i
\(382\) 18.4195 + 3.29599i 0.942422 + 0.168638i
\(383\) 9.79069 16.9580i 0.500281 0.866512i −0.499719 0.866188i \(-0.666563\pi\)
1.00000 0.000324324i \(-0.000103235\pi\)
\(384\) 2.80776 + 13.8205i 0.143283 + 0.705275i
\(385\) −0.462205 1.11897i −0.0235562 0.0570279i
\(386\) −1.90206 + 2.25516i −0.0968125 + 0.114785i
\(387\) −15.5750 2.05049i −0.791721 0.104232i
\(388\) −15.9942 + 13.2832i −0.811981 + 0.674352i
\(389\) −2.92635 22.2278i −0.148372 1.12700i −0.889927 0.456104i \(-0.849245\pi\)
0.741555 0.670892i \(-0.234089\pi\)
\(390\) 1.07535 0.980372i 0.0544522 0.0496431i
\(391\) −26.5108 26.5108i −1.34071 1.34071i
\(392\) −4.94122 19.1725i −0.249569 0.968357i
\(393\) 5.24497 5.24497i 0.264574 0.264574i
\(394\) −1.26409 + 27.3615i −0.0636839 + 1.37845i
\(395\) −0.499991 + 0.0658250i −0.0251573 + 0.00331202i
\(396\) −5.42865 2.86103i −0.272800 0.143772i
\(397\) 4.35424 33.0737i 0.218533 1.65992i −0.433068 0.901361i \(-0.642569\pi\)
0.651601 0.758562i \(-0.274098\pi\)
\(398\) 24.7027 2.09816i 1.23824 0.105171i
\(399\) −10.8042 + 4.46282i −0.540886 + 0.223421i
\(400\) 17.8717 + 8.55528i 0.893587 + 0.427764i
\(401\) −9.46637 5.46541i −0.472728 0.272930i 0.244653 0.969611i \(-0.421326\pi\)
−0.717381 + 0.696681i \(0.754659\pi\)
\(402\) −6.48525 + 4.51658i −0.323455 + 0.225267i
\(403\) −14.9810 11.4953i −0.746257 0.572623i
\(404\) 0.279210 + 0.258463i 0.0138912 + 0.0128590i
\(405\) 0.212127 0.512121i 0.0105407 0.0254475i
\(406\) −8.48709 23.5756i −0.421207 1.17004i
\(407\) −3.90629 + 3.90629i −0.193628 + 0.193628i
\(408\) −15.6255 + 20.0463i −0.773580 + 0.992438i
\(409\) 6.72708 25.1058i 0.332632 1.24140i −0.573781 0.819009i \(-0.694524\pi\)
0.906413 0.422392i \(-0.138810\pi\)
\(410\) −1.81679 + 0.397945i −0.0897247 + 0.0196531i
\(411\) 2.35836 1.80963i 0.116329 0.0892626i
\(412\) −0.249851 + 0.353004i −0.0123093 + 0.0173912i
\(413\) −19.3930 5.21674i −0.954265 0.256699i
\(414\) −8.13071 6.85765i −0.399602 0.337035i
\(415\) −0.131649 + 0.228023i −0.00646240 + 0.0111932i
\(416\) −18.4054 + 11.4003i −0.902397 + 0.558947i
\(417\) −1.62581 2.81599i −0.0796163 0.137900i
\(418\) 10.0027 3.61200i 0.489247 0.176669i
\(419\) −10.8125 26.1038i −0.528227 1.27525i −0.932683 0.360696i \(-0.882539\pi\)
0.404456 0.914558i \(-0.367461\pi\)
\(420\) −1.35935 + 0.419578i −0.0663294 + 0.0204733i
\(421\) −34.0793 14.1161i −1.66092 0.687977i −0.662776 0.748818i \(-0.730622\pi\)
−0.998147 + 0.0608405i \(0.980622\pi\)
\(422\) 20.3402 + 22.3106i 0.990144 + 1.08606i
\(423\) −2.03608 + 7.59876i −0.0989977 + 0.369464i
\(424\) 16.3046 + 6.89924i 0.791822 + 0.335057i
\(425\) 9.24230 + 34.4927i 0.448317 + 1.67314i
\(426\) −2.90673 5.61849i −0.140832 0.272217i
\(427\) −1.09260 + 1.88815i −0.0528745 + 0.0913741i
\(428\) −3.73315 0.847488i −0.180449 0.0409649i
\(429\) −1.32114 + 10.0351i −0.0637853 + 0.484498i
\(430\) 2.71893 1.89357i 0.131118 0.0913160i
\(431\) −15.8972 + 9.17826i −0.765742 + 0.442101i −0.831353 0.555744i \(-0.812433\pi\)
0.0656118 + 0.997845i \(0.479100\pi\)
\(432\) −12.1003 + 18.5755i −0.582176 + 0.893716i
\(433\) 10.6987i 0.514148i 0.966392 + 0.257074i \(0.0827584\pi\)
−0.966392 + 0.257074i \(0.917242\pi\)
\(434\) 8.46670 + 16.4049i 0.406415 + 0.787462i
\(435\) −1.66337 + 0.688989i −0.0797523 + 0.0330345i
\(436\) 37.4427 1.44474i 1.79318 0.0691903i
\(437\) 18.2761 2.40610i 0.874265 0.115099i
\(438\) −17.9848 11.5217i −0.859345 0.550529i
\(439\) 9.65259 + 36.0240i 0.460693 + 1.71933i 0.670788 + 0.741649i \(0.265956\pi\)
−0.210096 + 0.977681i \(0.567377\pi\)
\(440\) 1.25267 0.325468i 0.0597187 0.0155161i
\(441\) 5.07880 8.75699i 0.241848 0.416999i
\(442\) −37.1829 11.8274i −1.76861 0.562571i
\(443\) −5.06309 + 3.88505i −0.240555 + 0.184584i −0.722002 0.691891i \(-0.756778\pi\)
0.481447 + 0.876475i \(0.340111\pi\)
\(444\) 4.14741 + 4.99386i 0.196827 + 0.236998i
\(445\) −2.18126 + 2.84267i −0.103402 + 0.134755i
\(446\) 4.97427 + 13.7752i 0.235539 + 0.652274i
\(447\) −18.3163 −0.866334
\(448\) 21.0269 2.42277i 0.993427 0.114465i
\(449\) 20.8650 0.984680 0.492340 0.870403i \(-0.336142\pi\)
0.492340 + 0.870403i \(0.336142\pi\)
\(450\) 3.44082 + 9.52861i 0.162202 + 0.449183i
\(451\) 7.87531 10.2633i 0.370834 0.483280i
\(452\) 1.87162 + 2.25361i 0.0880338 + 0.106001i
\(453\) −1.85055 + 1.41998i −0.0869465 + 0.0667164i
\(454\) −23.9300 7.61182i −1.12309 0.357240i
\(455\) −1.32781 1.73395i −0.0622485 0.0812889i
\(456\) −3.14256 12.0952i −0.147164 0.566408i
\(457\) −0.617791 2.30563i −0.0288990 0.107853i 0.949970 0.312342i \(-0.101113\pi\)
−0.978869 + 0.204489i \(0.934447\pi\)
\(458\) 14.4283 + 9.24332i 0.674191 + 0.431912i
\(459\) −39.6122 + 5.21505i −1.84894 + 0.243418i
\(460\) 2.24173 0.0864977i 0.104521 0.00403298i
\(461\) −14.7405 + 6.10571i −0.686533 + 0.284371i −0.698555 0.715556i \(-0.746173\pi\)
0.0120219 + 0.999928i \(0.496173\pi\)
\(462\) 5.34608 8.32693i 0.248722 0.387404i
\(463\) 2.04572i 0.0950725i −0.998870 0.0475362i \(-0.984863\pi\)
0.998870 0.0475362i \(-0.0151370\pi\)
\(464\) 26.2092 5.53240i 1.21673 0.256835i
\(465\) 1.14877 0.663242i 0.0532729 0.0307571i
\(466\) 17.3373 12.0744i 0.803135 0.559334i
\(467\) 3.47990 26.4325i 0.161031 1.22315i −0.699831 0.714309i \(-0.746741\pi\)
0.860861 0.508840i \(-0.169925\pi\)
\(468\) −10.7950 2.45064i −0.498998 0.113281i
\(469\) 5.92048 + 10.2779i 0.273382 + 0.474588i
\(470\) −0.762413 1.47369i −0.0351675 0.0679761i
\(471\) −0.581997 2.17204i −0.0268170 0.100082i
\(472\) 8.36633 19.7717i 0.385091 0.910066i
\(473\) −5.96488 + 22.2612i −0.274266 + 1.02357i
\(474\) −2.77702 3.04604i −0.127553 0.139909i
\(475\) −16.2209 6.71893i −0.744268 0.308286i
\(476\) 27.9680 + 25.9409i 1.28191 + 1.18900i
\(477\) 3.46411 + 8.36309i 0.158611 + 0.382920i
\(478\) −33.4330 + 12.0728i −1.52919 + 0.552196i
\(479\) 3.11186 + 5.38989i 0.142184 + 0.246270i 0.928319 0.371785i \(-0.121254\pi\)
−0.786135 + 0.618055i \(0.787921\pi\)
\(480\) −0.245100 1.50097i −0.0111872 0.0685097i
\(481\) −4.98273 + 8.63035i −0.227193 + 0.393510i
\(482\) −13.9947 11.8035i −0.637441 0.537635i
\(483\) 12.1402 12.1164i 0.552400 0.551316i
\(484\) 7.50892 10.6090i 0.341315 0.482229i
\(485\) 1.77876 1.36489i 0.0807695 0.0619766i
\(486\) −18.5436 + 4.06175i −0.841153 + 0.184245i
\(487\) 7.22721 26.9723i 0.327496 1.22223i −0.584282 0.811551i \(-0.698624\pi\)
0.911778 0.410682i \(-0.134709\pi\)
\(488\) −1.83934 1.43372i −0.0832631 0.0649014i
\(489\) 12.1180 12.1180i 0.547995 0.547995i
\(490\) 0.452747 + 2.08657i 0.0204530 + 0.0942618i
\(491\) −6.95705 + 16.7958i −0.313967 + 0.757984i 0.685583 + 0.727994i \(0.259547\pi\)
−0.999550 + 0.0299894i \(0.990453\pi\)
\(492\) −11.1555 10.3266i −0.502930 0.465560i
\(493\) 38.3001 + 29.3887i 1.72495 + 1.32360i
\(494\) 15.7428 10.9639i 0.708302 0.493289i
\(495\) 0.573095 + 0.330877i 0.0257587 + 0.0148718i
\(496\) −18.6128 + 6.56168i −0.835741 + 0.294628i
\(497\) −8.77493 + 3.62461i −0.393610 + 0.162586i
\(498\) −2.14434 + 0.182132i −0.0960901 + 0.00816154i
\(499\) 0.575382 4.37046i 0.0257576 0.195649i −0.973728 0.227714i \(-0.926875\pi\)
0.999486 + 0.0320650i \(0.0102084\pi\)
\(500\) −3.79832 2.00181i −0.169866 0.0895236i
\(501\) 0.775618 0.102112i 0.0346520 0.00456203i
\(502\) −0.150790 + 3.26388i −0.00673009 + 0.145674i
\(503\) −2.85777 + 2.85777i −0.127422 + 0.127422i −0.767942 0.640520i \(-0.778719\pi\)
0.640520 + 0.767942i \(0.278719\pi\)
\(504\) 8.52893 + 6.66155i 0.379909 + 0.296729i
\(505\) −0.0290129 0.0290129i −0.00129106 0.00129106i
\(506\) −11.5314 + 10.5130i −0.512635 + 0.467359i
\(507\) 0.268081 + 2.03628i 0.0119059 + 0.0904342i
\(508\) −33.5540 + 27.8666i −1.48872 + 1.23638i
\(509\) 31.9382 + 4.20474i 1.41563 + 0.186372i 0.799214 0.601046i \(-0.205249\pi\)
0.616420 + 0.787418i \(0.288583\pi\)
\(510\) 1.76716 2.09522i 0.0782512 0.0927777i
\(511\) −19.5395 + 25.4127i −0.864376 + 1.12419i
\(512\) −0.515903 + 22.6215i −0.0227999 + 0.999740i
\(513\) 9.82218 17.0125i 0.433660 0.751121i
\(514\) 20.3648 + 3.64409i 0.898254 + 0.160734i
\(515\) 0.0283917 0.0370008i 0.00125109 0.00163045i
\(516\) 25.4009 + 9.39122i 1.11821 + 0.413425i
\(517\) 10.6625 + 4.41657i 0.468938 + 0.194241i
\(518\) 8.00032 5.56007i 0.351514 0.244296i
\(519\) 3.61545 + 3.61545i 0.158701 + 0.158701i
\(520\) 2.03076 1.15197i 0.0890549 0.0505173i
\(521\) −34.4633 9.23441i −1.50986 0.404567i −0.593474 0.804853i \(-0.702244\pi\)
−0.916390 + 0.400286i \(0.868911\pi\)
\(522\) 11.5324 + 7.38812i 0.504761 + 0.323369i
\(523\) −11.1560 14.5387i −0.487816 0.635734i 0.482983 0.875630i \(-0.339553\pi\)
−0.970799 + 0.239896i \(0.922887\pi\)
\(524\) 10.0695 6.34350i 0.439890 0.277117i
\(525\) −15.7841 + 4.21273i −0.688873 + 0.183858i
\(526\) 16.7837 1.42555i 0.731806 0.0621569i
\(527\) −30.8030 17.7841i −1.34180 0.774690i
\(528\) 8.03435 + 6.88156i 0.349650 + 0.299481i
\(529\) −3.50544 + 2.02387i −0.152410 + 0.0879941i
\(530\) −1.72830 0.811256i −0.0750725 0.0352387i
\(531\) 10.1415 4.20073i 0.440102 0.182296i
\(532\) −18.4899 + 3.14508i −0.801641 + 0.136356i
\(533\) 8.93055 21.5602i 0.386825 0.933878i
\(534\) −29.2552 1.35158i −1.26600 0.0584885i
\(535\) 0.398761 + 0.106848i 0.0172399 + 0.00461943i
\(536\) −11.7514 + 4.76328i −0.507584 + 0.205742i
\(537\) −30.4338 + 8.15471i −1.31331 + 0.351902i
\(538\) −12.0973 + 38.0316i −0.521553 + 1.63966i
\(539\) −11.7645 9.06401i −0.506735 0.390414i
\(540\) 1.38117 1.95139i 0.0594359 0.0839744i
\(541\) 20.9757 + 2.76150i 0.901816 + 0.118726i 0.567154 0.823612i \(-0.308044\pi\)
0.334662 + 0.942338i \(0.391378\pi\)
\(542\) 6.65506 37.1915i 0.285859 1.59751i
\(543\) −1.76514 3.05731i −0.0757493 0.131202i
\(544\) −31.5689 + 25.8151i −1.35351 + 1.10681i
\(545\) −4.04083 −0.173090
\(546\) 5.42755 17.0053i 0.232278 0.727761i
\(547\) 2.99246 + 7.22444i 0.127948 + 0.308895i 0.974853 0.222851i \(-0.0715363\pi\)
−0.846904 + 0.531746i \(0.821536\pi\)
\(548\) 4.33278 1.99374i 0.185087 0.0851685i
\(549\) −0.155640 1.18220i −0.00664255 0.0504552i
\(550\) 14.5183 3.18006i 0.619062 0.135598i
\(551\) −22.9274 + 6.14337i −0.976739 + 0.261716i
\(552\) 11.0516 + 14.6316i 0.470385 + 0.622762i
\(553\) −4.91163 + 3.76117i −0.208864 + 0.159941i
\(554\) 1.98697 + 3.84067i 0.0844184 + 0.163174i
\(555\) −0.426160 0.555383i −0.0180895 0.0235747i
\(556\) −1.54358 4.98351i −0.0654623 0.211348i
\(557\) 19.8290 + 15.2153i 0.840183 + 0.644695i 0.936505 0.350655i \(-0.114041\pi\)
−0.0963219 + 0.995350i \(0.530708\pi\)
\(558\) −9.13451 4.28770i −0.386695 0.181513i
\(559\) 41.5742i 1.75840i
\(560\) −2.27593 + 0.173649i −0.0961757 + 0.00733802i
\(561\) 19.0652i 0.804933i
\(562\) 6.03953 12.8666i 0.254762 0.542745i
\(563\) 4.74152 + 3.63829i 0.199831 + 0.153336i 0.703830 0.710369i \(-0.251472\pi\)
−0.503999 + 0.863704i \(0.668138\pi\)
\(564\) 6.32293 11.9974i 0.266243 0.505182i
\(565\) −0.192316 0.250631i −0.00809079 0.0105441i
\(566\) 34.0924 17.6377i 1.43301 0.741369i
\(567\) −0.880932 6.74249i −0.0369957 0.283158i
\(568\) −2.55232 9.82343i −0.107093 0.412182i
\(569\) 39.8176 10.6691i 1.66924 0.447272i 0.704335 0.709868i \(-0.251245\pi\)
0.964906 + 0.262596i \(0.0845788\pi\)
\(570\) 0.288351 + 1.31644i 0.0120777 + 0.0551396i
\(571\) 1.82643 + 13.8731i 0.0764339 + 0.580573i 0.986213 + 0.165480i \(0.0529175\pi\)
−0.909779 + 0.415093i \(0.863749\pi\)
\(572\) −5.63159 + 15.2321i −0.235468 + 0.636885i
\(573\) −6.31172 15.2378i −0.263676 0.636570i
\(574\) −16.8750 + 15.3543i −0.704348 + 0.640876i
\(575\) 25.7618 1.07434
\(576\) −8.30418 + 8.05548i −0.346008 + 0.335645i
\(577\) 22.6075 + 39.1574i 0.941164 + 1.63014i 0.763256 + 0.646096i \(0.223600\pi\)
0.177908 + 0.984047i \(0.443067\pi\)
\(578\) −48.6807 8.71095i −2.02485 0.362328i
\(579\) 2.57813 + 0.339417i 0.107143 + 0.0141057i
\(580\) −2.84731 + 0.487195i −0.118228 + 0.0202297i
\(581\) −0.00317075 + 3.22988i −0.000131545 + 0.133998i
\(582\) 17.4634 + 5.55487i 0.723881 + 0.230257i
\(583\) 12.8275 3.43712i 0.531261 0.142351i
\(584\) −24.0473 24.4156i −0.995083 1.01033i
\(585\) 1.15308 + 0.308966i 0.0476738 + 0.0127742i
\(586\) 0.913078 19.7638i 0.0377189 0.816433i
\(587\) −12.3455 + 29.8048i −0.509555 + 1.23017i 0.434585 + 0.900631i \(0.356895\pi\)
−0.944140 + 0.329544i \(0.893105\pi\)
\(588\) −11.8801 + 12.7833i −0.489929 + 0.527174i
\(589\) 16.1568 6.69237i 0.665729 0.275754i
\(590\) −0.983765 + 2.09581i −0.0405010 + 0.0862832i
\(591\) 20.9084 12.0714i 0.860055 0.496553i
\(592\) 4.71540 + 9.28678i 0.193802 + 0.381685i
\(593\) −22.6591 13.0822i −0.930498 0.537223i −0.0435290 0.999052i \(-0.513860\pi\)
−0.886969 + 0.461829i \(0.847193\pi\)
\(594\) 1.40735 + 16.5694i 0.0577442 + 0.679853i
\(595\) −2.90597 2.91168i −0.119133 0.119367i
\(596\) −28.6586 6.50598i −1.17390 0.266495i
\(597\) −13.3027 17.3364i −0.544443 0.709532i
\(598\) −15.1846 + 23.7023i −0.620944 + 0.969260i
\(599\) 34.3016 + 9.19109i 1.40153 + 0.375538i 0.878893 0.477020i \(-0.158283\pi\)
0.522633 + 0.852558i \(0.324950\pi\)
\(600\) −2.14791 17.3320i −0.0876881 0.707574i
\(601\) −2.58840 2.58840i −0.105583 0.105583i 0.652342 0.757925i \(-0.273787\pi\)
−0.757925 + 0.652342i \(0.773787\pi\)
\(602\) 17.3066 36.7760i 0.705363 1.49888i
\(603\) −5.98980 2.48106i −0.243923 0.101036i
\(604\) −3.39983 + 1.56445i −0.138337 + 0.0636564i
\(605\) −0.853273 + 1.11201i −0.0346905 + 0.0452095i
\(606\) 0.0590714 0.330118i 0.00239961 0.0134101i
\(607\) 1.10527 1.91438i 0.0448614 0.0777021i −0.842723 0.538348i \(-0.819049\pi\)
0.887584 + 0.460646i \(0.152382\pi\)
\(608\) −0.620775 20.0409i −0.0251757 0.812765i
\(609\) −13.4621 + 17.5086i −0.545512 + 0.709482i
\(610\) 0.192246 + 0.162146i 0.00778382 + 0.00656508i
\(611\) 20.6411 + 2.71745i 0.835048 + 0.109936i
\(612\) −20.7620 1.92249i −0.839253 0.0777122i
\(613\) −2.20556 16.7529i −0.0890817 0.676642i −0.976475 0.215630i \(-0.930820\pi\)
0.887394 0.461013i \(-0.152514\pi\)
\(614\) −5.80938 6.37216i −0.234447 0.257159i
\(615\) 1.15918 + 1.15918i 0.0467427 + 0.0467427i
\(616\) 11.3225 11.1298i 0.456195 0.448431i
\(617\) 6.83969 6.83969i 0.275356 0.275356i −0.555896 0.831252i \(-0.687625\pi\)
0.831252 + 0.555896i \(0.187625\pi\)
\(618\) 0.380792 + 0.0175924i 0.0153177 + 0.000707671i
\(619\) 44.1940 5.81825i 1.77631 0.233855i 0.830144 0.557550i \(-0.188258\pi\)
0.946162 + 0.323695i \(0.104925\pi\)
\(620\) 2.03300 0.629696i 0.0816473 0.0252892i
\(621\) −3.76228 + 28.5773i −0.150975 + 1.14677i
\(622\) 2.36406 + 27.8333i 0.0947901 + 1.11601i
\(623\) −5.77992 + 43.5723i −0.231568 + 1.74569i
\(624\) 17.2124 + 8.23966i 0.689048 + 0.329850i
\(625\) −21.0482 12.1522i −0.841929 0.486088i
\(626\) −10.4188 14.9601i −0.416420 0.597928i
\(627\) −7.43677 5.70644i −0.296996 0.227893i
\(628\) −0.139108 3.60520i −0.00555101 0.143863i
\(629\) −7.18334 + 17.3421i −0.286418 + 0.691475i
\(630\) −0.891379 0.753311i −0.0355134 0.0300126i
\(631\) 5.38193 5.38193i 0.214251 0.214251i −0.591819 0.806071i \(-0.701590\pi\)
0.806071 + 0.591819i \(0.201590\pi\)
\(632\) −3.26310 5.75238i −0.129799 0.228817i
\(633\) 6.88744 25.7043i 0.273751 1.02165i
\(634\) 4.17721 + 19.0707i 0.165898 + 0.757395i
\(635\) 3.73165 2.86339i 0.148086 0.113630i
\(636\) −2.63188 15.3815i −0.104361 0.609915i
\(637\) −24.7311 10.3009i −0.979881 0.408136i
\(638\) 12.9544 15.3592i 0.512869 0.608078i
\(639\) 2.59473 4.49421i 0.102646 0.177788i
\(640\) 0.149653 2.43555i 0.00591555 0.0962736i
\(641\) 1.28693 + 2.22903i 0.0508308 + 0.0880415i 0.890321 0.455333i \(-0.150480\pi\)
−0.839490 + 0.543374i \(0.817146\pi\)
\(642\) 1.14602 + 3.17365i 0.0452297 + 0.125254i
\(643\) 11.0924 + 26.7793i 0.437440 + 1.05607i 0.976830 + 0.214018i \(0.0686550\pi\)
−0.539390 + 0.842056i \(0.681345\pi\)
\(644\) 23.2989 14.6457i 0.918107 0.577121i
\(645\) −2.69816 1.11761i −0.106240 0.0440060i
\(646\) 26.7039 24.3454i 1.05065 0.957859i
\(647\) −2.89861 + 10.8178i −0.113956 + 0.425291i −0.999207 0.0398241i \(-0.987320\pi\)
0.885250 + 0.465115i \(0.153987\pi\)
\(648\) 7.26907 + 0.0552506i 0.285556 + 0.00217045i
\(649\) −4.16800 15.5552i −0.163608 0.610595i
\(650\) 23.8128 12.3196i 0.934013 0.483213i
\(651\) 8.14982 14.0840i 0.319417 0.551994i
\(652\) 23.2647 14.6561i 0.911117 0.573976i
\(653\) 2.21171 16.7996i 0.0865510 0.657420i −0.892092 0.451853i \(-0.850763\pi\)
0.978643 0.205566i \(-0.0659037\pi\)
\(654\) −18.8752 27.1025i −0.738080 1.05979i
\(655\) −1.11147 + 0.641707i −0.0434287 + 0.0250736i
\(656\) −13.7864 20.1200i −0.538269 0.785553i
\(657\) 17.5219i 0.683595i
\(658\) −17.1276 10.9963i −0.667703 0.428681i
\(659\) −1.75225 + 0.725805i −0.0682579 + 0.0282734i −0.416551 0.909112i \(-0.636761\pi\)
0.348293 + 0.937386i \(0.386761\pi\)
\(660\) −0.837168 0.774963i −0.0325867 0.0301654i
\(661\) −4.89944 + 0.645023i −0.190566 + 0.0250885i −0.225205 0.974311i \(-0.572305\pi\)
0.0346390 + 0.999400i \(0.488972\pi\)
\(662\) 9.09518 14.1971i 0.353494 0.551785i
\(663\) 8.90133 + 33.2202i 0.345699 + 1.29017i
\(664\) −3.41982 0.476699i −0.132715 0.0184995i
\(665\) 2.00555 0.262033i 0.0777720 0.0101612i
\(666\) −1.61423 + 5.07480i −0.0625500 + 0.196645i
\(667\) 27.6307 21.2018i 1.06987 0.820937i
\(668\) 1.24984 + 0.115731i 0.0483577 + 0.00447777i
\(669\) 7.85863 10.2416i 0.303832 0.395962i
\(670\) 1.28614 0.464429i 0.0496879 0.0179425i
\(671\) −1.74932 −0.0675319
\(672\) −11.7959 14.4539i −0.455035 0.557572i
\(673\) 16.2083 0.624784 0.312392 0.949953i \(-0.398870\pi\)
0.312392 + 0.949953i \(0.398870\pi\)
\(674\) 9.15943 3.30751i 0.352808 0.127400i
\(675\) 16.7127 21.7804i 0.643270 0.838326i
\(676\) −0.303836 + 3.28127i −0.0116860 + 0.126203i
\(677\) 28.3311 21.7392i 1.08885 0.835506i 0.101625 0.994823i \(-0.467596\pi\)
0.987228 + 0.159317i \(0.0509291\pi\)
\(678\) 0.782691 2.46062i 0.0300590 0.0944996i
\(679\) 10.5501 25.3997i 0.404876 0.974751i
\(680\) 3.50920 2.65057i 0.134572 0.101645i
\(681\) 5.72869 + 21.3798i 0.219524 + 0.819274i
\(682\) −7.98564 + 12.4651i −0.305786 + 0.477315i
\(683\) 19.0099 2.50270i 0.727393 0.0957631i 0.242270 0.970209i \(-0.422108\pi\)
0.485123 + 0.874446i \(0.338775\pi\)
\(684\) 6.96422 7.52322i 0.266283 0.287657i
\(685\) −0.475191 + 0.196830i −0.0181561 + 0.00752050i
\(686\) 17.5887 + 19.4071i 0.671541 + 0.740968i
\(687\) 15.1034i 0.576232i
\(688\) 36.4077 + 23.7164i 1.38803 + 0.904178i
\(689\) 20.7466 11.9781i 0.790382 0.456328i
\(690\) −1.13008 1.62265i −0.0430213 0.0617733i
\(691\) −1.06265 + 8.07165i −0.0404252 + 0.307060i 0.959273 + 0.282482i \(0.0911577\pi\)
−0.999698 + 0.0245784i \(0.992176\pi\)
\(692\) 4.37269 + 6.94111i 0.166225 + 0.263862i
\(693\) 8.11773 + 0.00796911i 0.308367 + 0.000302722i
\(694\) −24.0015 + 12.4172i −0.911086 + 0.471351i
\(695\) 0.145615 + 0.543442i 0.00552348 + 0.0206139i
\(696\) −16.5678 16.8216i −0.628002 0.637622i
\(697\) 11.3769 42.4591i 0.430931 1.60825i
\(698\) −18.7726 + 17.1147i −0.710555 + 0.647800i
\(699\) −17.2048 7.12648i −0.650747 0.269548i
\(700\) −26.1929 + 0.984908i −0.989997 + 0.0372260i
\(701\) 6.09108 + 14.7052i 0.230057 + 0.555407i 0.996184 0.0872829i \(-0.0278184\pi\)
−0.766126 + 0.642690i \(0.777818\pi\)
\(702\) 10.1883 + 28.2144i 0.384534 + 1.06489i
\(703\) −4.61460 7.99271i −0.174043 0.301451i
\(704\) 10.1266 + 13.6210i 0.381659 + 0.513361i
\(705\) −0.731243 + 1.26655i −0.0275402 + 0.0477011i
\(706\) 15.2155 18.0400i 0.572641 0.678946i
\(707\) −0.486043 0.130746i −0.0182795 0.00491722i
\(708\) −18.6522 + 3.19153i −0.700994 + 0.119945i
\(709\) −6.40415 + 4.91408i −0.240513 + 0.184552i −0.721984 0.691910i \(-0.756769\pi\)
0.481471 + 0.876462i \(0.340103\pi\)
\(710\) 0.234192 + 1.06918i 0.00878908 + 0.0401258i
\(711\) 0.875182 3.26622i 0.0328219 0.122493i
\(712\) −45.2939 12.5062i −1.69746 0.468690i
\(713\) −18.1443 + 18.1443i −0.679510 + 0.679510i
\(714\) 5.95497 33.0916i 0.222859 1.23842i
\(715\) 0.670194 1.61799i 0.0250638 0.0605094i
\(716\) −50.5147 + 1.94912i −1.88782 + 0.0728421i
\(717\) 24.8567 + 19.0732i 0.928291 + 0.712303i
\(718\) 5.78075 + 8.30045i 0.215736 + 0.309770i
\(719\) −23.7592 13.7174i −0.886069 0.511572i −0.0134141 0.999910i \(-0.504270\pi\)
−0.872655 + 0.488338i \(0.837603\pi\)
\(720\) 0.928353 0.833530i 0.0345977 0.0310638i
\(721\) 0.0752327 0.567146i 0.00280181 0.0211216i
\(722\) −0.770403 9.07036i −0.0286714 0.337564i
\(723\) −2.10630 + 15.9989i −0.0783341 + 0.595006i
\(724\) −1.67586 5.41059i −0.0622828 0.201083i
\(725\) −32.8882 + 4.32981i −1.22144 + 0.160805i
\(726\) −11.4442 0.528716i −0.424733 0.0196225i
\(727\) 37.3364 37.3364i 1.38473 1.38473i 0.548736 0.835996i \(-0.315109\pi\)
0.835996 0.548736i \(-0.184891\pi\)
\(728\) 14.5325 24.6794i 0.538611 0.914681i
\(729\) 17.2835 + 17.2835i 0.640129 + 0.640129i
\(730\) 2.48981 + 2.73102i 0.0921522 + 0.101079i
\(731\) 10.2214 + 77.6392i 0.378052 + 2.87159i
\(732\) −0.189530 + 2.04683i −0.00700523 + 0.0756530i
\(733\) 25.2186 + 3.32009i 0.931471 + 0.122630i 0.580964 0.813930i \(-0.302676\pi\)
0.350507 + 0.936560i \(0.386009\pi\)
\(734\) 8.23253 + 6.94353i 0.303868 + 0.256290i
\(735\) 1.33336 1.32813i 0.0491816 0.0489889i
\(736\) 12.0946 + 26.8188i 0.445813 + 0.988554i
\(737\) −4.75569 + 8.23710i −0.175178 + 0.303417i
\(738\) 2.19661 12.2757i 0.0808584 0.451873i
\(739\) −7.05694 + 9.19679i −0.259594 + 0.338309i −0.904907 0.425608i \(-0.860060\pi\)
0.645313 + 0.763918i \(0.276727\pi\)
\(740\) −0.469518 1.02035i −0.0172598 0.0375088i
\(741\) −15.6225 6.47106i −0.573908 0.237720i
\(742\) −23.3384 + 1.95920i −0.856780 + 0.0719246i
\(743\) 1.78374 + 1.78374i 0.0654392 + 0.0654392i 0.739069 0.673630i \(-0.235266\pi\)
−0.673630 + 0.739069i \(0.735266\pi\)
\(744\) 13.7199 + 10.6943i 0.502995 + 0.392072i
\(745\) 3.06120 + 0.820246i 0.112154 + 0.0300515i
\(746\) −24.8672 + 38.8163i −0.910452 + 1.42117i
\(747\) −1.07474 1.40063i −0.0393227 0.0512464i
\(748\) −6.77197 + 29.8303i −0.247608 + 1.09070i
\(749\) 4.89288 1.30590i 0.178782 0.0477164i
\(750\) 0.320284 + 3.77087i 0.0116951 + 0.137693i
\(751\) −21.1263 12.1973i −0.770911 0.445085i 0.0622888 0.998058i \(-0.480160\pi\)
−0.833199 + 0.552973i \(0.813493\pi\)
\(752\) 14.1546 16.5258i 0.516166 0.602634i
\(753\) 2.49410 1.43997i 0.0908902 0.0524755i
\(754\) 15.4014 32.8111i 0.560885 1.19491i
\(755\) 0.372871 0.154448i 0.0135702 0.00562095i
\(756\) 2.73268 29.1994i 0.0993866 1.06197i
\(757\) −7.21820 + 17.4263i −0.262350 + 0.633369i −0.999083 0.0428149i \(-0.986367\pi\)
0.736733 + 0.676184i \(0.236367\pi\)
\(758\) 0.911845 19.7371i 0.0331197 0.716883i
\(759\) 13.2855 + 3.55983i 0.482232 + 0.129214i
\(760\) −0.0164343 + 2.16219i −0.000596134 + 0.0784307i
\(761\) −25.3520 + 6.79304i −0.919008 + 0.246247i −0.687161 0.726505i \(-0.741143\pi\)
−0.231847 + 0.972752i \(0.574477\pi\)
\(762\) 36.6363 + 11.6535i 1.32719 + 0.422162i
\(763\) −42.9522 + 24.7423i −1.55497 + 0.895731i
\(764\) −4.46311 26.0837i −0.161470 0.943677i
\(765\) 2.22932 + 0.293495i 0.0806011 + 0.0106113i
\(766\) −27.2593 4.87779i −0.984918 0.176242i
\(767\) −14.5251 25.1582i −0.524472 0.908412i
\(768\) 17.0347 10.3730i 0.614686 0.374304i
\(769\) −22.9189 −0.826475 −0.413238 0.910623i \(-0.635602\pi\)
−0.413238 + 0.910623i \(0.635602\pi\)
\(770\) −1.26638 + 1.15226i −0.0456373 + 0.0415247i