Properties

Label 441.2.z.a.4.16
Level $441$
Weight $2$
Character 441.4
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 4.16
Character \(\chi\) \(=\) 441.4
Dual form 441.2.z.a.331.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.105772 + 1.41143i) q^{2} +(1.42810 - 0.980073i) q^{3} +(-0.00328183 - 0.000494657i) q^{4} +(0.365770 - 1.60254i) q^{5} +(1.23225 + 2.11932i) q^{6} +(-2.11011 - 1.59607i) q^{7} +(-0.628861 + 2.75522i) q^{8} +(1.07891 - 2.79928i) q^{9} +O(q^{10})\) \(q+(-0.105772 + 1.41143i) q^{2} +(1.42810 - 0.980073i) q^{3} +(-0.00328183 - 0.000494657i) q^{4} +(0.365770 - 1.60254i) q^{5} +(1.23225 + 2.11932i) q^{6} +(-2.11011 - 1.59607i) q^{7} +(-0.628861 + 2.75522i) q^{8} +(1.07891 - 2.79928i) q^{9} +(2.22319 + 0.685763i) q^{10} +(4.15841 - 2.00258i) q^{11} +(-0.00517157 + 0.00251002i) q^{12} +(-0.201377 + 2.68719i) q^{13} +(2.47593 - 2.80945i) q^{14} +(-1.04825 - 2.64707i) q^{15} +(-3.82862 - 1.18097i) q^{16} +(0.301359 - 0.0454225i) q^{17} +(3.83686 + 1.81890i) q^{18} +(2.48942 + 4.31181i) q^{19} +(-0.00199311 + 0.00507835i) q^{20} +(-4.57770 - 0.211272i) q^{21} +(2.38666 + 6.08111i) q^{22} +(4.27690 - 5.36306i) q^{23} +(1.80224 + 4.55105i) q^{24} +(2.07049 + 0.997094i) q^{25} +(-3.77147 - 0.568458i) q^{26} +(-1.20270 - 5.05505i) q^{27} +(0.00613553 + 0.00628181i) q^{28} +(0.259880 - 0.662164i) q^{29} +(3.84702 - 1.19955i) q^{30} +(-4.82768 - 8.36179i) q^{31} +(0.00685911 - 0.0174767i) q^{32} +(3.97593 - 6.93543i) q^{33} +(0.0322353 + 0.430151i) q^{34} +(-3.32958 + 2.79775i) q^{35} +(-0.00492550 + 0.00865307i) q^{36} +(-2.64834 + 6.74785i) q^{37} +(-6.34912 + 3.05757i) q^{38} +(2.34605 + 4.03492i) q^{39} +(4.18534 + 2.01555i) q^{40} +(-3.67594 - 3.41077i) q^{41} +(0.782389 - 6.43875i) q^{42} +(-6.51133 + 6.04163i) q^{43} +(-0.0146378 + 0.00451516i) q^{44} +(-4.09133 - 2.75290i) q^{45} +(7.11721 + 6.60380i) q^{46} +(-0.335876 + 4.48196i) q^{47} +(-6.62508 + 2.06579i) q^{48} +(1.90514 + 6.73576i) q^{49} +(-1.62633 + 2.81688i) q^{50} +(0.385852 - 0.360221i) q^{51} +(0.00199012 - 0.00871928i) q^{52} +(0.456526 + 1.16321i) q^{53} +(7.26205 - 1.16285i) q^{54} +(-1.68821 - 7.39652i) q^{55} +(5.72448 - 4.81012i) q^{56} +(7.78102 + 3.71786i) q^{57} +(0.907110 + 0.436841i) q^{58} +(-6.26607 + 5.81406i) q^{59} +(0.00213081 + 0.00920576i) q^{60} +(-8.41640 + 1.26857i) q^{61} +(12.3127 - 5.92949i) q^{62} +(-6.74446 + 4.18477i) q^{63} +(-7.19575 - 3.46529i) q^{64} +(4.23267 + 1.30561i) q^{65} +(9.36832 + 6.34531i) q^{66} +(7.47235 + 12.9425i) q^{67} -0.00101148 q^{68} +(0.851629 - 11.8506i) q^{69} +(-3.59665 - 4.99539i) q^{70} +(1.32853 - 1.66592i) q^{71} +(7.03413 + 4.73300i) q^{72} +(-10.4107 + 7.09789i) q^{73} +(-9.24399 - 4.45167i) q^{74} +(3.93408 - 0.605283i) q^{75} +(-0.00603701 - 0.0153820i) q^{76} +(-11.9710 - 2.41142i) q^{77} +(-5.94315 + 2.88450i) q^{78} +(-3.12938 + 5.42025i) q^{79} +(-3.29296 + 5.70357i) q^{80} +(-6.67189 - 6.04036i) q^{81} +(5.20287 - 4.82756i) q^{82} +(0.570803 + 7.61684i) q^{83} +(0.0149188 + 0.00295775i) q^{84} +(0.0374364 - 0.499554i) q^{85} +(-7.83862 - 9.82931i) q^{86} +(-0.277835 - 1.20034i) q^{87} +(2.90250 + 12.7167i) q^{88} +(-1.18210 - 15.7740i) q^{89} +(4.31827 - 5.48344i) q^{90} +(4.71385 - 5.34885i) q^{91} +(-0.0166890 + 0.0154851i) q^{92} +(-15.0896 - 7.20996i) q^{93} +(-6.29044 - 0.948131i) q^{94} +(7.82041 - 2.41228i) q^{95} +(-0.00733300 - 0.0316809i) q^{96} +(0.927309 + 1.60615i) q^{97} +(-9.70855 + 1.97652i) q^{98} +(-1.11922 - 13.8011i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.105772 + 1.41143i −0.0747921 + 0.998031i 0.825969 + 0.563716i \(0.190629\pi\)
−0.900761 + 0.434315i \(0.856990\pi\)
\(3\) 1.42810 0.980073i 0.824511 0.565845i
\(4\) −0.00328183 0.000494657i −0.00164092 0.000247328i
\(5\) 0.365770 1.60254i 0.163577 0.716679i −0.824896 0.565284i \(-0.808766\pi\)
0.988473 0.151395i \(-0.0483764\pi\)
\(6\) 1.23225 + 2.11932i 0.503064 + 0.865209i
\(7\) −2.11011 1.59607i −0.797547 0.603256i
\(8\) −0.628861 + 2.75522i −0.222336 + 0.974117i
\(9\) 1.07891 2.79928i 0.359638 0.933092i
\(10\) 2.22319 + 0.685763i 0.703034 + 0.216857i
\(11\) 4.15841 2.00258i 1.25381 0.603802i 0.315277 0.949000i \(-0.397902\pi\)
0.938530 + 0.345198i \(0.112188\pi\)
\(12\) −0.00517157 + 0.00251002i −0.00149290 + 0.000724580i
\(13\) −0.201377 + 2.68719i −0.0558518 + 0.745291i 0.897034 + 0.441962i \(0.145717\pi\)
−0.952886 + 0.303329i \(0.901902\pi\)
\(14\) 2.47593 2.80945i 0.661719 0.750858i
\(15\) −1.04825 2.64707i −0.270658 0.683470i
\(16\) −3.82862 1.18097i −0.957156 0.295243i
\(17\) 0.301359 0.0454225i 0.0730902 0.0110166i −0.112395 0.993664i \(-0.535852\pi\)
0.185486 + 0.982647i \(0.440614\pi\)
\(18\) 3.83686 + 1.81890i 0.904356 + 0.428718i
\(19\) 2.48942 + 4.31181i 0.571113 + 0.989196i 0.996452 + 0.0841622i \(0.0268214\pi\)
−0.425339 + 0.905034i \(0.639845\pi\)
\(20\) −0.00199311 + 0.00507835i −0.000445672 + 0.00113555i
\(21\) −4.57770 0.211272i −0.998937 0.0461034i
\(22\) 2.38666 + 6.08111i 0.508838 + 1.29650i
\(23\) 4.27690 5.36306i 0.891795 1.11828i −0.100568 0.994930i \(-0.532066\pi\)
0.992364 0.123346i \(-0.0393624\pi\)
\(24\) 1.80224 + 4.55105i 0.367881 + 0.928979i
\(25\) 2.07049 + 0.997094i 0.414097 + 0.199419i
\(26\) −3.77147 0.568458i −0.739646 0.111484i
\(27\) −1.20270 5.05505i −0.231460 0.972844i
\(28\) 0.00613553 + 0.00628181i 0.00115951 + 0.00118715i
\(29\) 0.259880 0.662164i 0.0482586 0.122961i −0.904712 0.426024i \(-0.859914\pi\)
0.952971 + 0.303063i \(0.0980092\pi\)
\(30\) 3.84702 1.19955i 0.702367 0.219007i
\(31\) −4.82768 8.36179i −0.867077 1.50182i −0.864969 0.501824i \(-0.832662\pi\)
−0.00210797 0.999998i \(-0.500671\pi\)
\(32\) 0.00685911 0.0174767i 0.00121253 0.00308948i
\(33\) 3.97593 6.93543i 0.692120 1.20730i
\(34\) 0.0322353 + 0.430151i 0.00552831 + 0.0737702i
\(35\) −3.32958 + 2.79775i −0.562802 + 0.472906i
\(36\) −0.00492550 + 0.00865307i −0.000820917 + 0.00144218i
\(37\) −2.64834 + 6.74785i −0.435384 + 1.10934i 0.529882 + 0.848071i \(0.322236\pi\)
−0.965266 + 0.261269i \(0.915859\pi\)
\(38\) −6.34912 + 3.05757i −1.02996 + 0.496004i
\(39\) 2.34605 + 4.03492i 0.375669 + 0.646104i
\(40\) 4.18534 + 2.01555i 0.661760 + 0.318687i
\(41\) −3.67594 3.41077i −0.574085 0.532673i 0.338817 0.940852i \(-0.389973\pi\)
−0.912902 + 0.408179i \(0.866164\pi\)
\(42\) 0.782389 6.43875i 0.120725 0.993521i
\(43\) −6.51133 + 6.04163i −0.992968 + 0.921340i −0.996902 0.0786522i \(-0.974938\pi\)
0.00393371 + 0.999992i \(0.498748\pi\)
\(44\) −0.0146378 + 0.00451516i −0.00220673 + 0.000680687i
\(45\) −4.09133 2.75290i −0.609899 0.410378i
\(46\) 7.11721 + 6.60380i 1.04937 + 0.973677i
\(47\) −0.335876 + 4.48196i −0.0489926 + 0.653760i 0.917610 + 0.397481i \(0.130116\pi\)
−0.966603 + 0.256279i \(0.917503\pi\)
\(48\) −6.62508 + 2.06579i −0.956248 + 0.298171i
\(49\) 1.90514 + 6.73576i 0.272163 + 0.962251i
\(50\) −1.62633 + 2.81688i −0.229997 + 0.398367i
\(51\) 0.385852 0.360221i 0.0540300 0.0504410i
\(52\) 0.00199012 0.00871928i 0.000275980 0.00120915i
\(53\) 0.456526 + 1.16321i 0.0627087 + 0.159779i 0.958794 0.284103i \(-0.0916959\pi\)
−0.896085 + 0.443883i \(0.853601\pi\)
\(54\) 7.26205 1.16285i 0.988240 0.158243i
\(55\) −1.68821 7.39652i −0.227638 0.997346i
\(56\) 5.72448 4.81012i 0.764966 0.642779i
\(57\) 7.78102 + 3.71786i 1.03062 + 0.492442i
\(58\) 0.907110 + 0.436841i 0.119109 + 0.0573600i
\(59\) −6.26607 + 5.81406i −0.815773 + 0.756927i −0.973042 0.230629i \(-0.925922\pi\)
0.157269 + 0.987556i \(0.449731\pi\)
\(60\) 0.00213081 + 0.00920576i 0.000275086 + 0.00118846i
\(61\) −8.41640 + 1.26857i −1.07761 + 0.162424i −0.663778 0.747930i \(-0.731048\pi\)
−0.413832 + 0.910353i \(0.635810\pi\)
\(62\) 12.3127 5.92949i 1.56372 0.753046i
\(63\) −6.74446 + 4.18477i −0.849722 + 0.527231i
\(64\) −7.19575 3.46529i −0.899469 0.433161i
\(65\) 4.23267 + 1.30561i 0.524998 + 0.161941i
\(66\) 9.36832 + 6.34531i 1.15316 + 0.781054i
\(67\) 7.47235 + 12.9425i 0.912893 + 1.58118i 0.809957 + 0.586490i \(0.199491\pi\)
0.102937 + 0.994688i \(0.467176\pi\)
\(68\) −0.00101148 −0.000122660
\(69\) 0.851629 11.8506i 0.102524 1.42665i
\(70\) −3.59665 4.99539i −0.429882 0.597063i
\(71\) 1.32853 1.66592i 0.157667 0.197708i −0.696723 0.717340i \(-0.745359\pi\)
0.854390 + 0.519632i \(0.173931\pi\)
\(72\) 7.03413 + 4.73300i 0.828981 + 0.557789i
\(73\) −10.4107 + 7.09789i −1.21848 + 0.830745i −0.989759 0.142747i \(-0.954406\pi\)
−0.228720 + 0.973492i \(0.573454\pi\)
\(74\) −9.24399 4.45167i −1.07459 0.517496i
\(75\) 3.93408 0.605283i 0.454268 0.0698920i
\(76\) −0.00603701 0.0153820i −0.000692492 0.00176444i
\(77\) −11.9710 2.41142i −1.36422 0.274807i
\(78\) −5.94315 + 2.88450i −0.672929 + 0.326606i
\(79\) −3.12938 + 5.42025i −0.352083 + 0.609825i −0.986614 0.163072i \(-0.947860\pi\)
0.634531 + 0.772897i \(0.281193\pi\)
\(80\) −3.29296 + 5.70357i −0.368164 + 0.637679i
\(81\) −6.67189 6.04036i −0.741321 0.671151i
\(82\) 5.20287 4.82756i 0.574561 0.533115i
\(83\) 0.570803 + 7.61684i 0.0626538 + 0.836057i 0.936682 + 0.350181i \(0.113880\pi\)
−0.874028 + 0.485875i \(0.838501\pi\)
\(84\) 0.0149188 + 0.00295775i 0.00162777 + 0.000322717i
\(85\) 0.0374364 0.499554i 0.00406055 0.0541843i
\(86\) −7.83862 9.82931i −0.845260 1.05992i
\(87\) −0.277835 1.20034i −0.0297871 0.128690i
\(88\) 2.90250 + 12.7167i 0.309407 + 1.35560i
\(89\) −1.18210 15.7740i −0.125302 1.67204i −0.606237 0.795284i \(-0.707322\pi\)
0.480935 0.876756i \(-0.340297\pi\)
\(90\) 4.31827 5.48344i 0.455185 0.578005i
\(91\) 4.71385 5.34885i 0.494146 0.560712i
\(92\) −0.0166890 + 0.0154851i −0.00173994 + 0.00161443i
\(93\) −15.0896 7.20996i −1.56471 0.747638i
\(94\) −6.29044 0.948131i −0.648809 0.0977922i
\(95\) 7.82041 2.41228i 0.802357 0.247494i
\(96\) −0.00733300 0.0316809i −0.000748421 0.00323341i
\(97\) 0.927309 + 1.60615i 0.0941539 + 0.163079i 0.909255 0.416239i \(-0.136652\pi\)
−0.815101 + 0.579319i \(0.803319\pi\)
\(98\) −9.70855 + 1.97652i −0.980712 + 0.199659i
\(99\) −1.11922 13.8011i −0.112486 1.38707i
\(100\) −0.00630178 0.00429648i −0.000630178 0.000429648i
\(101\) −1.83890 + 8.05677i −0.182978 + 0.801678i 0.797225 + 0.603682i \(0.206300\pi\)
−0.980203 + 0.197996i \(0.936557\pi\)
\(102\) 0.467614 + 0.582703i 0.0463007 + 0.0576962i
\(103\) 3.23696 14.1820i 0.318947 1.39740i −0.520457 0.853888i \(-0.674238\pi\)
0.839403 0.543509i \(-0.182905\pi\)
\(104\) −7.27715 2.24470i −0.713583 0.220111i
\(105\) −2.01296 + 7.25869i −0.196445 + 0.708376i
\(106\) −1.69008 + 0.521320i −0.164155 + 0.0506350i
\(107\) −0.0997861 1.33155i −0.00964669 0.128726i 0.990301 0.138937i \(-0.0443687\pi\)
−0.999948 + 0.0102112i \(0.996750\pi\)
\(108\) 0.00144655 + 0.0171848i 0.000139195 + 0.00165360i
\(109\) 0.625578 8.34775i 0.0599195 0.799570i −0.883598 0.468246i \(-0.844886\pi\)
0.943517 0.331323i \(-0.107495\pi\)
\(110\) 10.6182 1.60044i 1.01241 0.152596i
\(111\) 2.83131 + 12.2321i 0.268736 + 1.16102i
\(112\) 6.19391 + 8.60273i 0.585270 + 0.812881i
\(113\) 9.39455 6.40510i 0.883765 0.602541i −0.0341067 0.999418i \(-0.510859\pi\)
0.917872 + 0.396877i \(0.129906\pi\)
\(114\) −6.07050 + 10.5891i −0.568555 + 0.991761i
\(115\) −7.03018 8.81557i −0.655568 0.822056i
\(116\) −0.00118043 + 0.00204456i −0.000109600 + 0.000189833i
\(117\) 7.30490 + 3.46295i 0.675339 + 0.320150i
\(118\) −7.54336 9.45908i −0.694423 0.870779i
\(119\) −0.708398 0.385142i −0.0649387 0.0353059i
\(120\) 7.95246 1.22354i 0.725957 0.111693i
\(121\) 6.42363 8.05498i 0.583966 0.732271i
\(122\) −0.900274 12.0133i −0.0815070 1.08764i
\(123\) −8.59239 1.26822i −0.774750 0.114352i
\(124\) 0.0117074 + 0.0298301i 0.00105136 + 0.00267882i
\(125\) 7.47953 9.37904i 0.668990 0.838887i
\(126\) −5.19312 9.96196i −0.462640 0.887482i
\(127\) −1.98667 2.49120i −0.176288 0.221058i 0.685835 0.727757i \(-0.259437\pi\)
−0.862123 + 0.506699i \(0.830866\pi\)
\(128\) 5.67089 9.82228i 0.501241 0.868175i
\(129\) −3.37756 + 15.0096i −0.297378 + 1.32152i
\(130\) −2.29047 + 5.83602i −0.200887 + 0.511853i
\(131\) 0.321559 + 1.40884i 0.0280947 + 0.123091i 0.987031 0.160532i \(-0.0513208\pi\)
−0.958936 + 0.283623i \(0.908464\pi\)
\(132\) −0.0164790 + 0.0207942i −0.00143431 + 0.00180990i
\(133\) 1.62897 13.0717i 0.141250 1.13346i
\(134\) −19.0578 + 9.17774i −1.64634 + 0.792836i
\(135\) −8.54085 + 0.0783966i −0.735079 + 0.00674730i
\(136\) −0.0643637 + 0.858874i −0.00551914 + 0.0736478i
\(137\) 4.72870 + 20.7178i 0.404000 + 1.77004i 0.610931 + 0.791684i \(0.290795\pi\)
−0.206931 + 0.978355i \(0.566348\pi\)
\(138\) 16.6363 + 2.45548i 1.41617 + 0.209024i
\(139\) 2.45761 + 2.28033i 0.208452 + 0.193415i 0.777488 0.628897i \(-0.216493\pi\)
−0.569037 + 0.822312i \(0.692684\pi\)
\(140\) 0.0123111 0.00753476i 0.00104047 0.000636803i
\(141\) 3.91298 + 6.72984i 0.329532 + 0.566755i
\(142\) 2.21081 + 2.05133i 0.185527 + 0.172144i
\(143\) 4.54391 + 11.5777i 0.379981 + 0.968175i
\(144\) −7.43663 + 9.44320i −0.619719 + 0.786934i
\(145\) −0.966091 0.658670i −0.0802295 0.0546995i
\(146\) −8.91700 15.4447i −0.737977 1.27821i
\(147\) 9.32226 + 7.75213i 0.768887 + 0.639385i
\(148\) 0.0120293 0.0208353i 0.000988800 0.00171265i
\(149\) −13.9556 + 6.72065i −1.14328 + 0.550577i −0.907010 0.421109i \(-0.861641\pi\)
−0.236275 + 0.971686i \(0.575927\pi\)
\(150\) 0.438198 + 5.61669i 0.0357787 + 0.458601i
\(151\) 8.56408 10.7390i 0.696935 0.873929i −0.299855 0.953985i \(-0.596938\pi\)
0.996790 + 0.0800556i \(0.0255098\pi\)
\(152\) −13.4455 + 4.14738i −1.09057 + 0.336397i
\(153\) 0.197990 0.892593i 0.0160065 0.0721618i
\(154\) 4.66974 16.6411i 0.376299 1.34098i
\(155\) −15.1660 + 4.67808i −1.21816 + 0.375752i
\(156\) −0.00570345 0.0144024i −0.000456642 0.00115312i
\(157\) 9.01925 8.36864i 0.719815 0.667890i −0.232643 0.972562i \(-0.574737\pi\)
0.952457 + 0.304672i \(0.0985468\pi\)
\(158\) −7.31929 4.99021i −0.582292 0.397000i
\(159\) 1.79199 + 1.21375i 0.142114 + 0.0962564i
\(160\) −0.0254984 0.0173845i −0.00201582 0.00137436i
\(161\) −17.5845 + 4.49044i −1.38586 + 0.353897i
\(162\) 9.23123 8.77800i 0.725274 0.689664i
\(163\) −5.26050 + 4.88103i −0.412034 + 0.382312i −0.858776 0.512351i \(-0.828775\pi\)
0.446742 + 0.894663i \(0.352584\pi\)
\(164\) 0.0103767 + 0.0130119i 0.000810281 + 0.00101606i
\(165\) −9.66004 8.90837i −0.752033 0.693515i
\(166\) −10.8110 −0.839096
\(167\) 10.5795 1.59460i 0.818665 0.123394i 0.273660 0.961827i \(-0.411766\pi\)
0.545005 + 0.838433i \(0.316528\pi\)
\(168\) 3.46084 12.4797i 0.267010 0.962831i
\(169\) 5.67439 + 0.855277i 0.436491 + 0.0657905i
\(170\) 0.701126 + 0.105678i 0.0537739 + 0.00810511i
\(171\) 14.7558 2.31651i 1.12840 0.177148i
\(172\) 0.0243576 0.0166068i 0.00185725 0.00126625i
\(173\) −3.75377 9.56445i −0.285394 0.727172i −0.999628 0.0272651i \(-0.991320\pi\)
0.714234 0.699907i \(-0.246775\pi\)
\(174\) 1.72358 0.265183i 0.130664 0.0201035i
\(175\) −2.77753 5.40861i −0.209962 0.408853i
\(176\) −18.2860 + 2.75617i −1.37836 + 0.207754i
\(177\) −3.25034 + 14.4442i −0.244311 + 1.08570i
\(178\) 22.3889 1.67812
\(179\) 11.7881 1.77677i 0.881084 0.132802i 0.307108 0.951675i \(-0.400639\pi\)
0.573975 + 0.818873i \(0.305400\pi\)
\(180\) 0.0120653 + 0.0110584i 0.000899296 + 0.000824241i
\(181\) −2.31991 1.11721i −0.172437 0.0830415i 0.345674 0.938355i \(-0.387650\pi\)
−0.518111 + 0.855313i \(0.673365\pi\)
\(182\) 7.05093 + 7.21903i 0.522650 + 0.535110i
\(183\) −10.7761 + 10.0603i −0.796595 + 0.743680i
\(184\) 12.0868 + 15.1564i 0.891054 + 1.11735i
\(185\) 9.84504 + 6.71223i 0.723822 + 0.493493i
\(186\) 11.7724 20.5352i 0.863194 1.50572i
\(187\) 1.16221 0.792381i 0.0849892 0.0579447i
\(188\) 0.00331932 0.0145429i 0.000242086 0.00106065i
\(189\) −5.53036 + 12.5863i −0.402274 + 0.915519i
\(190\) 2.57758 + 11.2931i 0.186997 + 0.819288i
\(191\) 0.621605 + 0.576765i 0.0449778 + 0.0417333i 0.702341 0.711840i \(-0.252138\pi\)
−0.657364 + 0.753573i \(0.728328\pi\)
\(192\) −13.6725 + 2.10359i −0.986725 + 0.151814i
\(193\) −5.82764 + 1.79759i −0.419483 + 0.129393i −0.497309 0.867574i \(-0.665678\pi\)
0.0778259 + 0.996967i \(0.475202\pi\)
\(194\) −2.36504 + 1.13895i −0.169800 + 0.0817715i
\(195\) 7.32425 2.28380i 0.524501 0.163546i
\(196\) −0.00292047 0.0230480i −0.000208605 0.00164629i
\(197\) −14.0374 −1.00012 −0.500062 0.865990i \(-0.666689\pi\)
−0.500062 + 0.865990i \(0.666689\pi\)
\(198\) 19.5977 0.119923i 1.39275 0.00852258i
\(199\) 7.26157 + 6.73775i 0.514759 + 0.477626i 0.894249 0.447569i \(-0.147710\pi\)
−0.379490 + 0.925196i \(0.623901\pi\)
\(200\) −4.04926 + 5.07761i −0.286326 + 0.359041i
\(201\) 23.3558 + 11.1597i 1.64739 + 0.787143i
\(202\) −11.1770 3.44766i −0.786414 0.242577i
\(203\) −1.60524 + 0.982455i −0.112665 + 0.0689548i
\(204\) −0.00144449 0.000991322i −0.000101134 6.94064e-5i
\(205\) −6.81046 + 4.64329i −0.475663 + 0.324301i
\(206\) 19.6745 + 6.06879i 1.37079 + 0.422833i
\(207\) −10.3983 17.7585i −0.722731 1.23430i
\(208\) 3.94449 10.0504i 0.273501 0.696870i
\(209\) 18.9868 + 12.9450i 1.31334 + 0.895423i
\(210\) −10.0322 3.60892i −0.692288 0.249039i
\(211\) 10.8232 7.37916i 0.745102 0.508002i −0.130254 0.991481i \(-0.541579\pi\)
0.875356 + 0.483479i \(0.160627\pi\)
\(212\) −0.000922854 0.00404329i −6.33819e−5 0.000277694i
\(213\) 0.264540 3.68114i 0.0181260 0.252228i
\(214\) 1.88995 0.129194
\(215\) 7.30033 + 12.6445i 0.497878 + 0.862350i
\(216\) 14.6841 0.134786i 0.999126 0.00917100i
\(217\) −3.15903 + 25.3496i −0.214449 + 1.72084i
\(218\) 11.7161 + 1.76592i 0.793514 + 0.119603i
\(219\) −7.91101 + 20.3397i −0.534577 + 1.37443i
\(220\) 0.00188168 + 0.0251092i 0.000126863 + 0.00169286i
\(221\) 0.0613721 + 0.818953i 0.00412833 + 0.0550888i
\(222\) −17.5643 + 2.70237i −1.17884 + 0.181371i
\(223\) −22.0944 3.33020i −1.47955 0.223007i −0.640879 0.767642i \(-0.721430\pi\)
−0.838673 + 0.544636i \(0.816668\pi\)
\(224\) −0.0423675 + 0.0259302i −0.00283080 + 0.00173254i
\(225\) 5.02502 4.72009i 0.335001 0.314672i
\(226\) 8.04666 + 13.9372i 0.535256 + 0.927090i
\(227\) 20.0411 1.33018 0.665088 0.746765i \(-0.268394\pi\)
0.665088 + 0.746765i \(0.268394\pi\)
\(228\) −0.0236969 0.0160503i −0.00156937 0.00106296i
\(229\) 0.00131723 + 0.00577115i 8.70449e−5 + 0.000381369i 0.974971 0.222330i \(-0.0713663\pi\)
−0.974884 + 0.222712i \(0.928509\pi\)
\(230\) 13.1861 8.99016i 0.869468 0.592793i
\(231\) −19.4590 + 8.28868i −1.28031 + 0.545355i
\(232\) 1.66098 + 1.13244i 0.109049 + 0.0743481i
\(233\) 5.48937 13.9867i 0.359621 0.916298i −0.630514 0.776178i \(-0.717156\pi\)
0.990134 0.140120i \(-0.0447489\pi\)
\(234\) −5.66036 + 9.94407i −0.370029 + 0.650064i
\(235\) 7.05967 + 2.17762i 0.460522 + 0.142052i
\(236\) 0.0234402 0.0159812i 0.00152583 0.00104029i
\(237\) 0.843182 + 10.8077i 0.0547706 + 0.702032i
\(238\) 0.618529 0.959116i 0.0400933 0.0621702i
\(239\) 13.1405 + 4.05330i 0.849987 + 0.262186i 0.688992 0.724769i \(-0.258053\pi\)
0.160995 + 0.986955i \(0.448530\pi\)
\(240\) 0.887256 + 11.3726i 0.0572721 + 0.734097i
\(241\) 4.44170 5.56972i 0.286115 0.358777i −0.617916 0.786244i \(-0.712023\pi\)
0.904031 + 0.427467i \(0.140594\pi\)
\(242\) 10.6896 + 9.91849i 0.687153 + 0.637585i
\(243\) −15.4481 2.08727i −0.990995 0.133898i
\(244\) 0.0282487 0.00180844
\(245\) 11.4912 0.589335i 0.734145 0.0376512i
\(246\) 2.69884 11.9934i 0.172072 0.764672i
\(247\) −12.0879 + 5.82124i −0.769137 + 0.370397i
\(248\) 26.0745 8.04292i 1.65573 0.510726i
\(249\) 8.28022 + 10.3181i 0.524738 + 0.653886i
\(250\) 12.4467 + 11.5489i 0.787200 + 0.730415i
\(251\) 0.389514 + 1.70657i 0.0245859 + 0.107718i 0.985732 0.168322i \(-0.0538349\pi\)
−0.961146 + 0.276040i \(0.910978\pi\)
\(252\) 0.0242042 0.0103975i 0.00152472 0.000654982i
\(253\) 7.04511 30.8667i 0.442922 1.94057i
\(254\) 3.72629 2.54054i 0.233808 0.159408i
\(255\) −0.436137 0.750102i −0.0273120 0.0469732i
\(256\) 0.0658128 + 0.0448704i 0.00411330 + 0.00280440i
\(257\) −4.41027 5.53030i −0.275105 0.344971i 0.625015 0.780613i \(-0.285093\pi\)
−0.900120 + 0.435642i \(0.856521\pi\)
\(258\) −20.8277 6.35478i −1.29668 0.395632i
\(259\) 16.3583 10.0118i 1.01646 0.622103i
\(260\) −0.0132451 0.00637851i −0.000821427 0.000395578i
\(261\) −1.57319 1.44190i −0.0973782 0.0892511i
\(262\) −2.02249 + 0.304842i −0.124950 + 0.0188332i
\(263\) 18.9144 1.16631 0.583155 0.812361i \(-0.301818\pi\)
0.583155 + 0.812361i \(0.301818\pi\)
\(264\) 16.6083 + 15.3160i 1.02217 + 0.942633i
\(265\) 2.03108 0.306136i 0.124768 0.0188058i
\(266\) 18.2774 + 3.68179i 1.12066 + 0.225745i
\(267\) −17.1478 21.3682i −1.04943 1.30771i
\(268\) −0.0181209 0.0461714i −0.00110691 0.00282037i
\(269\) −25.3325 + 17.2714i −1.54455 + 1.05306i −0.572033 + 0.820231i \(0.693845\pi\)
−0.972518 + 0.232826i \(0.925203\pi\)
\(270\) 0.792731 12.0631i 0.0482441 0.734136i
\(271\) 14.3729 + 2.16636i 0.873090 + 0.131597i 0.570276 0.821453i \(-0.306836\pi\)
0.302813 + 0.953050i \(0.402074\pi\)
\(272\) −1.20743 0.181991i −0.0732113 0.0110348i
\(273\) 1.48957 12.2586i 0.0901529 0.741924i
\(274\) −29.7418 + 4.48286i −1.79677 + 0.270819i
\(275\) 10.6067 0.639608
\(276\) −0.00865691 + 0.0384706i −0.000521085 + 0.00231566i
\(277\) 8.85391 + 11.1024i 0.531980 + 0.667081i 0.973104 0.230364i \(-0.0739918\pi\)
−0.441125 + 0.897446i \(0.645420\pi\)
\(278\) −3.47846 + 3.22754i −0.208624 + 0.193575i
\(279\) −28.6156 + 4.49236i −1.71317 + 0.268951i
\(280\) −5.61458 10.9331i −0.335535 0.653379i
\(281\) −13.2697 9.04712i −0.791604 0.539706i 0.0986765 0.995120i \(-0.468539\pi\)
−0.890280 + 0.455413i \(0.849491\pi\)
\(282\) −9.91258 + 4.81106i −0.590286 + 0.286495i
\(283\) −14.5280 9.90501i −0.863599 0.588792i 0.0484719 0.998825i \(-0.484565\pi\)
−0.912071 + 0.410033i \(0.865517\pi\)
\(284\) −0.00518406 + 0.00481011i −0.000307617 + 0.000285427i
\(285\) 8.80409 11.1095i 0.521509 0.658072i
\(286\) −16.8217 + 5.18881i −0.994688 + 0.306821i
\(287\) 2.31282 + 13.0641i 0.136521 + 0.771152i
\(288\) −0.0415218 0.0380564i −0.00244669 0.00224250i
\(289\) −16.1560 + 4.98346i −0.950352 + 0.293145i
\(290\) 1.03185 1.29390i 0.0605923 0.0759804i
\(291\) 2.89843 + 1.38490i 0.169909 + 0.0811843i
\(292\) 0.0376772 0.0181444i 0.00220489 0.00106182i
\(293\) 2.20361 3.81677i 0.128736 0.222978i −0.794451 0.607328i \(-0.792241\pi\)
0.923187 + 0.384351i \(0.125575\pi\)
\(294\) −11.9276 + 12.3377i −0.695632 + 0.719552i
\(295\) 7.02535 + 12.1683i 0.409032 + 0.708463i
\(296\) −16.9264 11.5402i −0.983826 0.670761i
\(297\) −15.1245 18.6124i −0.877612 1.08000i
\(298\) −8.00961 20.4081i −0.463984 1.18221i
\(299\) 13.5503 + 12.5728i 0.783633 + 0.727105i
\(300\) −0.0132104 4.04185e-5i −0.000762703 2.33356e-6i
\(301\) 23.3825 2.35600i 1.34774 0.135798i
\(302\) 14.2515 + 13.2235i 0.820083 + 0.760926i
\(303\) 5.27009 + 13.3081i 0.302759 + 0.764530i
\(304\) −4.43893 19.4482i −0.254590 1.11543i
\(305\) −1.04553 + 13.9516i −0.0598670 + 0.798869i
\(306\) 1.23889 + 0.373860i 0.0708226 + 0.0213722i
\(307\) −0.119327 + 0.0574647i −0.00681033 + 0.00327968i −0.437286 0.899323i \(-0.644060\pi\)
0.430475 + 0.902602i \(0.358346\pi\)
\(308\) 0.0380939 + 0.0138354i 0.00217060 + 0.000788345i
\(309\) −9.27674 23.4257i −0.527735 1.33264i
\(310\) −4.99864 21.9005i −0.283904 1.24386i
\(311\) 1.38197 3.52119i 0.0783642 0.199669i −0.886323 0.463068i \(-0.846749\pi\)
0.964687 + 0.263400i \(0.0848437\pi\)
\(312\) −12.5924 + 3.92649i −0.712906 + 0.222293i
\(313\) −6.44192 + 11.1577i −0.364119 + 0.630672i −0.988634 0.150340i \(-0.951963\pi\)
0.624516 + 0.781012i \(0.285296\pi\)
\(314\) 10.8578 + 13.6152i 0.612739 + 0.768350i
\(315\) 4.23935 + 12.3390i 0.238860 + 0.695221i
\(316\) 0.0129513 0.0162404i 0.000728566 0.000913593i
\(317\) −4.26748 10.8733i −0.239685 0.610708i 0.759524 0.650480i \(-0.225432\pi\)
−0.999209 + 0.0397717i \(0.987337\pi\)
\(318\) −1.90266 + 2.40089i −0.106696 + 0.134635i
\(319\) −0.245351 3.27398i −0.0137370 0.183308i
\(320\) −8.18527 + 10.2640i −0.457570 + 0.573775i
\(321\) −1.44752 1.80379i −0.0807929 0.100678i
\(322\) −4.47799 25.2943i −0.249549 1.40960i
\(323\) 0.946062 + 1.18632i 0.0526403 + 0.0660088i
\(324\) 0.0189081 + 0.0231237i 0.00105045 + 0.00128465i
\(325\) −3.09632 + 5.36299i −0.171753 + 0.297485i
\(326\) −6.33281 7.94109i −0.350742 0.439816i
\(327\) −7.28802 12.5345i −0.403028 0.693159i
\(328\) 11.7091 7.98311i 0.646526 0.440794i
\(329\) 7.86224 8.92135i 0.433459 0.491850i
\(330\) 13.5953 12.6922i 0.748396 0.698683i
\(331\) 8.98997 1.35502i 0.494133 0.0744786i 0.102752 0.994707i \(-0.467235\pi\)
0.391382 + 0.920228i \(0.371997\pi\)
\(332\) 0.00189444 0.0252796i 0.000103971 0.00138740i
\(333\) 16.0318 + 14.6938i 0.878535 + 0.805214i
\(334\) 1.13165 + 15.1008i 0.0619212 + 0.826282i
\(335\) 23.4741 7.24079i 1.28253 0.395607i
\(336\) 17.2768 + 6.21503i 0.942526 + 0.339058i
\(337\) −20.3189 6.26755i −1.10684 0.341415i −0.313129 0.949710i \(-0.601377\pi\)
−0.793711 + 0.608296i \(0.791854\pi\)
\(338\) −1.80735 + 7.91853i −0.0983071 + 0.430711i
\(339\) 7.13885 18.3544i 0.387729 0.996876i
\(340\) −0.000369968 0.00162094i −2.00643e−5 8.79076e-5i
\(341\) −36.8207 25.1039i −1.99395 1.35945i
\(342\) 1.70884 + 21.0718i 0.0924035 + 1.13943i
\(343\) 6.73065 17.2539i 0.363421 0.931625i
\(344\) −12.5513 21.7395i −0.676721 1.17211i
\(345\) −18.6797 5.69938i −1.00568 0.306844i
\(346\) 13.8966 4.28653i 0.747085 0.230445i
\(347\) 6.35238 + 0.957467i 0.341014 + 0.0513995i 0.317317 0.948320i \(-0.397218\pi\)
0.0236970 + 0.999719i \(0.492456\pi\)
\(348\) 0.000318055 0.00407674i 1.70496e−5 0.000218536i
\(349\) 7.34452 6.81472i 0.393143 0.364784i −0.458690 0.888596i \(-0.651681\pi\)
0.851834 + 0.523813i \(0.175491\pi\)
\(350\) 7.92766 3.34821i 0.423751 0.178969i
\(351\) 13.8260 2.21391i 0.737980 0.118170i
\(352\) −0.00647563 0.0864113i −0.000345152 0.00460574i
\(353\) 2.76571 + 12.1174i 0.147204 + 0.644942i 0.993655 + 0.112475i \(0.0358779\pi\)
−0.846451 + 0.532467i \(0.821265\pi\)
\(354\) −20.0432 6.11542i −1.06529 0.325031i
\(355\) −2.18377 2.73836i −0.115903 0.145337i
\(356\) −0.00392327 + 0.0523524i −0.000207933 + 0.00277467i
\(357\) −1.38913 + 0.144262i −0.0735204 + 0.00763515i
\(358\) 1.26093 + 16.8260i 0.0666424 + 0.889281i
\(359\) 12.4985 11.5969i 0.659645 0.612061i −0.277615 0.960692i \(-0.589544\pi\)
0.937260 + 0.348632i \(0.113354\pi\)
\(360\) 10.1577 9.54131i 0.535359 0.502871i
\(361\) −2.89445 + 5.01333i −0.152339 + 0.263859i
\(362\) 1.82224 3.15622i 0.0957749 0.165887i
\(363\) 1.27909 17.7989i 0.0671350 0.934200i
\(364\) −0.0181159 + 0.0152223i −0.000949533 + 0.000797865i
\(365\) 7.56675 + 19.2798i 0.396062 + 1.00915i
\(366\) −13.0596 16.2738i −0.682637 0.850648i
\(367\) 2.79572 + 1.34635i 0.145935 + 0.0702788i 0.505426 0.862870i \(-0.331335\pi\)
−0.359491 + 0.933149i \(0.617050\pi\)
\(368\) −22.7083 + 15.4822i −1.18375 + 0.807068i
\(369\) −13.5137 + 6.61003i −0.703496 + 0.344105i
\(370\) −10.5152 + 13.1856i −0.546658 + 0.685487i
\(371\) 0.893240 3.18315i 0.0463747 0.165261i
\(372\) 0.0459550 + 0.0311260i 0.00238265 + 0.00161381i
\(373\) −19.6998 −1.02002 −0.510008 0.860170i \(-0.670358\pi\)
−0.510008 + 0.860170i \(0.670358\pi\)
\(374\) 0.995460 + 1.72419i 0.0514740 + 0.0891556i
\(375\) 1.48935 20.7247i 0.0769096 1.07022i
\(376\) −12.1376 3.74394i −0.625947 0.193079i
\(377\) 1.72702 + 0.831691i 0.0889463 + 0.0428343i
\(378\) −17.1797 9.13699i −0.883629 0.469956i
\(379\) −7.51581 + 3.61942i −0.386061 + 0.185917i −0.616839 0.787089i \(-0.711587\pi\)
0.230778 + 0.973006i \(0.425873\pi\)
\(380\) −0.0268585 + 0.00404827i −0.00137781 + 0.000207672i
\(381\) −5.27871 1.61060i −0.270437 0.0825133i
\(382\) −0.879811 + 0.816346i −0.0450151 + 0.0417679i
\(383\) −12.3190 5.93253i −0.629473 0.303138i 0.0918125 0.995776i \(-0.470734\pi\)
−0.721285 + 0.692638i \(0.756448\pi\)
\(384\) −1.52797 19.5850i −0.0779738 0.999445i
\(385\) −8.24303 + 18.3020i −0.420104 + 0.932754i
\(386\) −1.92077 8.41544i −0.0977645 0.428334i
\(387\) 9.88702 + 24.7454i 0.502586 + 1.25788i
\(388\) −0.00224878 0.00572981i −0.000114165 0.000290887i
\(389\) 6.46019 28.3039i 0.327544 1.43507i −0.496251 0.868179i \(-0.665291\pi\)
0.823796 0.566887i \(-0.191852\pi\)
\(390\) 2.44872 + 10.5792i 0.123996 + 0.535700i
\(391\) 1.04528 1.81047i 0.0528619 0.0915595i
\(392\) −19.7566 + 1.01323i −0.997857 + 0.0511759i
\(393\) 1.83998 + 1.69681i 0.0928150 + 0.0855927i
\(394\) 1.48476 19.8128i 0.0748014 0.998155i
\(395\) 7.54155 + 6.99753i 0.379456 + 0.352084i
\(396\) −0.00315374 + 0.0458467i −0.000158482 + 0.00230388i
\(397\) 20.6142 6.35863i 1.03460 0.319131i 0.269469 0.963009i \(-0.413152\pi\)
0.765128 + 0.643878i \(0.222676\pi\)
\(398\) −10.2779 + 9.53652i −0.515186 + 0.478023i
\(399\) −10.4849 20.2641i −0.524900 1.01447i
\(400\) −6.74957 6.26269i −0.337479 0.313134i
\(401\) −26.9949 13.0001i −1.34806 0.649192i −0.386120 0.922448i \(-0.626185\pi\)
−0.961941 + 0.273256i \(0.911899\pi\)
\(402\) −18.2215 + 31.7847i −0.908805 + 1.58528i
\(403\) 23.4419 11.2890i 1.16772 0.562346i
\(404\) 0.0100203 0.0255313i 0.000498529 0.00127023i
\(405\) −12.1203 + 8.48261i −0.602263 + 0.421504i
\(406\) −1.21688 2.36959i −0.0603925 0.117601i
\(407\) 2.50027 + 33.3638i 0.123934 + 1.65378i
\(408\) 0.749841 + 1.28963i 0.0371227 + 0.0638464i
\(409\) 8.90326 22.6851i 0.440238 1.12171i −0.522827 0.852439i \(-0.675123\pi\)
0.963065 0.269269i \(-0.0867822\pi\)
\(410\) −5.83332 10.1036i −0.288087 0.498981i
\(411\) 27.0580 + 24.9525i 1.33467 + 1.23082i
\(412\) −0.0176384 + 0.0449419i −0.000868981 + 0.00221413i
\(413\) 22.5017 2.26726i 1.10724 0.111564i
\(414\) 26.1647 12.7981i 1.28593 0.628992i
\(415\) 12.4151 + 1.87127i 0.609433 + 0.0918573i
\(416\) 0.0455819 + 0.0219511i 0.00223484 + 0.00107624i
\(417\) 5.74459 + 0.847890i 0.281314 + 0.0415213i
\(418\) −20.2792 + 25.4293i −0.991887 + 1.24379i
\(419\) 6.90835 + 17.6022i 0.337495 + 0.859923i 0.994374 + 0.105927i \(0.0337809\pi\)
−0.656879 + 0.753996i \(0.728124\pi\)
\(420\) 0.0101968 0.0228261i 0.000497551 0.00111380i
\(421\) −12.2104 + 31.1115i −0.595097 + 1.51628i 0.242589 + 0.970129i \(0.422003\pi\)
−0.837686 + 0.546152i \(0.816092\pi\)
\(422\) 9.27036 + 16.0567i 0.451274 + 0.781629i
\(423\) 12.1838 + 5.77586i 0.592399 + 0.280832i
\(424\) −3.49199 + 0.526333i −0.169586 + 0.0255610i
\(425\) 0.669250 + 0.206436i 0.0324634 + 0.0100136i
\(426\) 5.16769 + 0.762741i 0.250375 + 0.0369549i
\(427\) 19.7843 + 10.7563i 0.957428 + 0.520535i
\(428\) −0.000331180 0.00441930i −1.60082e−5 0.000213615i
\(429\) 17.8361 + 12.0807i 0.861136 + 0.583261i
\(430\) −18.6190 + 8.96645i −0.897889 + 0.432401i
\(431\) −4.47323 1.37981i −0.215468 0.0664631i 0.185142 0.982712i \(-0.440726\pi\)
−0.400610 + 0.916249i \(0.631202\pi\)
\(432\) −1.36519 + 20.7742i −0.0656826 + 0.999501i
\(433\) 5.47189 23.9739i 0.262962 1.15211i −0.655058 0.755579i \(-0.727356\pi\)
0.918020 0.396534i \(-0.129787\pi\)
\(434\) −35.4450 7.14002i −1.70142 0.342732i
\(435\) −2.02521 + 0.00619634i −0.0971016 + 0.000297092i
\(436\) −0.00618232 + 0.0270865i −0.000296079 + 0.00129721i
\(437\) 33.7715 + 5.09023i 1.61551 + 0.243499i
\(438\) −27.8713 13.3172i −1.33174 0.636320i
\(439\) 0.221966 2.96194i 0.0105939 0.141365i −0.989399 0.145225i \(-0.953609\pi\)
0.999993 + 0.00385939i \(0.00122848\pi\)
\(440\) 21.4407 1.02214
\(441\) 20.9107 + 1.93428i 0.995749 + 0.0921088i
\(442\) −1.16239 −0.0552891
\(443\) −1.53458 + 20.4775i −0.0729100 + 0.972917i 0.834047 + 0.551693i \(0.186018\pi\)
−0.906957 + 0.421223i \(0.861601\pi\)
\(444\) −0.00324117 0.0415444i −0.000153819 0.00197161i
\(445\) −25.7109 3.87529i −1.21881 0.183706i
\(446\) 7.03731 30.8325i 0.333226 1.45996i
\(447\) −13.3432 + 23.2752i −0.631110 + 1.10088i
\(448\) 9.65300 + 18.7970i 0.456061 + 0.888077i
\(449\) −0.516293 + 2.26203i −0.0243654 + 0.106752i −0.985648 0.168811i \(-0.946007\pi\)
0.961283 + 0.275563i \(0.0888643\pi\)
\(450\) 6.13056 + 7.59171i 0.288997 + 0.357877i
\(451\) −22.1164 6.82201i −1.04142 0.321236i
\(452\) −0.0339997 + 0.0163734i −0.00159921 + 0.000770139i
\(453\) 1.70531 23.7298i 0.0801223 1.11492i
\(454\) −2.11979 + 28.2866i −0.0994866 + 1.32756i
\(455\) −6.84758 9.51060i −0.321019 0.445864i
\(456\) −15.1367 + 19.1004i −0.708840 + 0.894458i
\(457\) −5.48715 1.69256i −0.256678 0.0791747i 0.163746 0.986503i \(-0.447642\pi\)
−0.420424 + 0.907328i \(0.638119\pi\)
\(458\) −0.00828490 + 0.00124875i −0.000387128 + 5.83501e-5i
\(459\) −0.592057 1.46875i −0.0276349 0.0685555i
\(460\) 0.0187112 + 0.0324088i 0.000872414 + 0.00151107i
\(461\) −5.43611 + 13.8510i −0.253185 + 0.645104i −0.999797 0.0201554i \(-0.993584\pi\)
0.746612 + 0.665260i \(0.231679\pi\)
\(462\) −9.64066 28.3418i −0.448524 1.31858i
\(463\) 6.56718 + 16.7329i 0.305203 + 0.777644i 0.998381 + 0.0568781i \(0.0181146\pi\)
−0.693178 + 0.720766i \(0.743790\pi\)
\(464\) −1.77698 + 2.22827i −0.0824944 + 0.103445i
\(465\) −17.0736 + 21.5445i −0.791768 + 0.999102i
\(466\) 19.1606 + 9.22725i 0.887597 + 0.427444i
\(467\) −39.4864 5.95162i −1.82721 0.275408i −0.856588 0.516001i \(-0.827420\pi\)
−0.970626 + 0.240593i \(0.922658\pi\)
\(468\) −0.0222605 0.0149783i −0.00102899 0.000692370i
\(469\) 4.88959 39.2365i 0.225780 1.81177i
\(470\) −3.82027 + 9.73390i −0.176216 + 0.448991i
\(471\) 4.67847 20.7907i 0.215573 0.957987i
\(472\) −12.0785 20.9206i −0.555960 0.962950i
\(473\) −14.9779 + 38.1631i −0.688684 + 1.75474i
\(474\) −15.3434 + 0.0469447i −0.704746 + 0.00215624i
\(475\) 0.855041 + 11.4097i 0.0392320 + 0.523514i
\(476\) 0.00213433 + 0.00161439i 9.78269e−5 + 7.39952e-5i
\(477\) 3.74870 0.0229392i 0.171641 0.00105032i
\(478\) −7.11084 + 18.1181i −0.325242 + 0.828704i
\(479\) −37.0624 + 17.8483i −1.69342 + 0.815509i −0.698417 + 0.715691i \(0.746112\pi\)
−0.995006 + 0.0998185i \(0.968174\pi\)
\(480\) −0.0534521 0.000163542i −0.00243975 7.46464e-6i
\(481\) −17.5994 8.47543i −0.802464 0.386446i
\(482\) 7.39145 + 6.85827i 0.336671 + 0.312385i
\(483\) −20.7114 + 23.6469i −0.942403 + 1.07597i
\(484\) −0.0250657 + 0.0232576i −0.00113935 + 0.00105716i
\(485\) 2.91310 0.898572i 0.132277 0.0408021i
\(486\) 4.58001 21.5831i 0.207753 0.979029i
\(487\) 19.4592 + 18.0555i 0.881778 + 0.818171i 0.984290 0.176561i \(-0.0564973\pi\)
−0.102511 + 0.994732i \(0.532688\pi\)
\(488\) 1.79756 23.9868i 0.0813718 1.08583i
\(489\) −2.72873 + 12.1262i −0.123397 + 0.548368i
\(490\) −0.383641 + 16.2813i −0.0173311 + 0.735515i
\(491\) 13.4199 23.2440i 0.605632 1.04899i −0.386319 0.922365i \(-0.626254\pi\)
0.991951 0.126620i \(-0.0404129\pi\)
\(492\) 0.0275715 + 0.00841238i 0.00124302 + 0.000379259i
\(493\) 0.0482400 0.211353i 0.00217262 0.00951888i
\(494\) −6.93770 17.6770i −0.312142 0.795325i
\(495\) −22.5263 3.25445i −1.01248 0.146277i
\(496\) 8.60832 + 37.7155i 0.386525 + 1.69348i
\(497\) −5.46226 + 1.39486i −0.245016 + 0.0625680i
\(498\) −15.4391 + 10.5956i −0.691845 + 0.474799i
\(499\) −3.34692 1.61179i −0.149829 0.0721538i 0.357467 0.933926i \(-0.383641\pi\)
−0.507296 + 0.861772i \(0.669355\pi\)
\(500\) −0.0291860 + 0.0270806i −0.00130524 + 0.00121108i
\(501\) 13.5457 12.6459i 0.605177 0.564977i
\(502\) −2.44991 + 0.369264i −0.109345 + 0.0164811i
\(503\) 6.49129 3.12604i 0.289432 0.139383i −0.283534 0.958962i \(-0.591507\pi\)
0.572966 + 0.819579i \(0.305793\pi\)
\(504\) −7.28862 21.2141i −0.324661 0.944951i
\(505\) 12.2387 + 5.89385i 0.544615 + 0.262273i
\(506\) 42.8209 + 13.2085i 1.90362 + 0.587190i
\(507\) 8.94180 4.33990i 0.397119 0.192742i
\(508\) 0.00528762 + 0.00915843i 0.000234600 + 0.000406340i
\(509\) −12.1651 −0.539209 −0.269604 0.962971i \(-0.586893\pi\)
−0.269604 + 0.962971i \(0.586893\pi\)
\(510\) 1.10485 0.536236i 0.0489234 0.0237450i
\(511\) 33.2964 + 1.63882i 1.47295 + 0.0724970i
\(512\) 14.0727 17.6466i 0.621931 0.779876i
\(513\) 18.8024 17.7700i 0.830144 0.784563i
\(514\) 8.27211 5.63983i 0.364867 0.248762i
\(515\) −21.5433 10.3747i −0.949313 0.457165i
\(516\) 0.0185092 0.0475883i 0.000814822 0.00209496i
\(517\) 7.57878 + 19.3104i 0.333314 + 0.849271i
\(518\) 12.4007 + 24.1475i 0.544855 + 1.06098i
\(519\) −14.7346 9.97998i −0.646777 0.438073i
\(520\) −6.25900 + 10.8409i −0.274475 + 0.475405i
\(521\) 22.4147 38.8234i 0.982007 1.70089i 0.327457 0.944866i \(-0.393808\pi\)
0.654549 0.756019i \(-0.272858\pi\)
\(522\) 2.20153 2.06794i 0.0963585 0.0905111i
\(523\) −26.5780 + 24.6608i −1.16218 + 1.07834i −0.166444 + 0.986051i \(0.553229\pi\)
−0.995732 + 0.0922913i \(0.970581\pi\)
\(524\) −0.000358410 0.00478265i −1.56572e−5 0.000208931i
\(525\) −9.26742 5.00184i −0.404463 0.218298i
\(526\) −2.00061 + 26.6963i −0.0872307 + 1.16401i
\(527\) −1.83468 2.30061i −0.0799198 0.100216i
\(528\) −23.4129 + 21.8577i −1.01891 + 0.951233i
\(529\) −5.35259 23.4512i −0.232721 1.01962i
\(530\) 0.217258 + 2.89910i 0.00943708 + 0.125929i
\(531\) 9.51461 + 23.8133i 0.412899 + 1.03341i
\(532\) −0.0118120 + 0.0420933i −0.000512115 + 0.00182498i
\(533\) 9.90562 9.19107i 0.429060 0.398110i
\(534\) 31.9735 21.9428i 1.38363 0.949556i
\(535\) −2.17037 0.327131i −0.0938333 0.0141431i
\(536\) −40.3585 + 12.4489i −1.74322 + 0.537713i
\(537\) 15.0932 14.0906i 0.651318 0.608054i
\(538\) −21.6979 37.5819i −0.935463 1.62027i
\(539\) 21.4113 + 24.1948i 0.922249 + 1.04214i
\(540\) 0.0280684 + 0.00396750i 0.00120787 + 0.000170734i
\(541\) −17.1060 11.6626i −0.735443 0.501416i 0.136734 0.990608i \(-0.456339\pi\)
−0.872176 + 0.489192i \(0.837292\pi\)
\(542\) −4.57791 + 20.0571i −0.196638 + 0.861528i
\(543\) −4.40800 + 0.678198i −0.189165 + 0.0291043i
\(544\) 0.00127321 0.00557832i 5.45886e−5 0.000239168i
\(545\) −13.1488 4.05587i −0.563233 0.173734i
\(546\) 17.1446 + 3.39904i 0.733720 + 0.145465i
\(547\) 32.0244 9.87823i 1.36927 0.422363i 0.479004 0.877813i \(-0.340998\pi\)
0.890261 + 0.455450i \(0.150522\pi\)
\(548\) −0.00527061 0.0703314i −0.000225149 0.00300441i
\(549\) −5.52950 + 24.9285i −0.235993 + 1.06392i
\(550\) −1.12189 + 14.9706i −0.0478376 + 0.638348i
\(551\) 3.50208 0.527853i 0.149193 0.0224873i
\(552\) 32.1156 + 9.79883i 1.36693 + 0.417066i
\(553\) 15.2544 6.44263i 0.648684 0.273968i
\(554\) −16.6068 + 11.3223i −0.705556 + 0.481040i
\(555\) 20.6381 0.0631444i 0.876040 0.00268033i
\(556\) −0.00693748 0.00869933i −0.000294215 0.000368934i
\(557\) −8.01754 + 13.8868i −0.339714 + 0.588402i −0.984379 0.176064i \(-0.943664\pi\)
0.644665 + 0.764465i \(0.276997\pi\)
\(558\) −3.31392 40.8641i −0.140289 1.72991i
\(559\) −14.9238 18.7138i −0.631207 0.791509i
\(560\) 16.0518 6.77939i 0.678312 0.286482i
\(561\) 0.883155 2.27065i 0.0372868 0.0958668i
\(562\) 14.1729 17.7723i 0.597849 0.749679i
\(563\) −1.29769 17.3165i −0.0546912 0.729804i −0.955388 0.295355i \(-0.904562\pi\)
0.900696 0.434449i \(-0.143057\pi\)
\(564\) −0.00951279 0.0240218i −0.000400561 0.00101150i
\(565\) −6.82820 17.3980i −0.287264 0.731938i
\(566\) 15.5169 19.4575i 0.652223 0.817861i
\(567\) 4.43762 + 23.3946i 0.186362 + 0.982481i
\(568\) 3.75452 + 4.70801i 0.157536 + 0.197544i
\(569\) 19.9627 34.5764i 0.836879 1.44952i −0.0556132 0.998452i \(-0.517711\pi\)
0.892492 0.451064i \(-0.148955\pi\)
\(570\) 14.7491 + 13.6014i 0.617772 + 0.569701i
\(571\) 10.8776 27.7156i 0.455213 1.15986i −0.500545 0.865710i \(-0.666867\pi\)
0.955758 0.294153i \(-0.0950376\pi\)
\(572\) −0.00918537 0.0402437i −0.000384060 0.00168267i
\(573\) 1.45298 + 0.214458i 0.0606992 + 0.00895909i
\(574\) −18.6837 + 1.88256i −0.779845 + 0.0785765i
\(575\) 14.2027 6.83968i 0.592295 0.285234i
\(576\) −17.4639 + 16.4041i −0.727663 + 0.683506i
\(577\) −0.314952 + 4.20274i −0.0131116 + 0.174962i 0.986803 + 0.161923i \(0.0517697\pi\)
−0.999915 + 0.0130392i \(0.995849\pi\)
\(578\) −5.32495 23.3301i −0.221489 0.970406i
\(579\) −6.56066 + 8.27864i −0.272652 + 0.344049i
\(580\) 0.00284473 + 0.00263953i 0.000118121 + 0.000109600i
\(581\) 10.9525 16.9834i 0.454387 0.704591i
\(582\) −2.26126 + 3.94444i −0.0937322 + 0.163502i
\(583\) 4.22785 + 3.92287i 0.175100 + 0.162469i
\(584\) −13.0094 33.1473i −0.538331 1.37165i
\(585\) 8.22144 10.4398i 0.339915 0.431632i
\(586\) 5.15401 + 3.51395i 0.212910 + 0.145160i
\(587\) −2.12247 3.67622i −0.0876036 0.151734i 0.818894 0.573945i \(-0.194588\pi\)
−0.906498 + 0.422211i \(0.861254\pi\)
\(588\) −0.0267595 0.0300525i −0.00110354 0.00123935i
\(589\) 24.0363 41.6321i 0.990398 1.71542i
\(590\) −17.9177 + 8.62872i −0.737661 + 0.355239i
\(591\) −20.0468 + 13.7577i −0.824614 + 0.565916i
\(592\) 18.1085 22.7074i 0.744255 0.933267i
\(593\) 3.15581 0.973438i 0.129593 0.0399743i −0.229280 0.973361i \(-0.573637\pi\)
0.358873 + 0.933386i \(0.383161\pi\)
\(594\) 27.8699 19.3785i 1.14352 0.795108i
\(595\) −0.876317 + 0.994365i −0.0359255 + 0.0407650i
\(596\) 0.0491243 0.0151528i 0.00201221 0.000620684i
\(597\) 16.9737 + 2.50529i 0.694687 + 0.102535i
\(598\) −19.1789 + 17.7954i −0.784283 + 0.727708i
\(599\) 18.3696 + 12.5242i 0.750560 + 0.511723i 0.877141 0.480233i \(-0.159448\pi\)
−0.126581 + 0.991956i \(0.540400\pi\)
\(600\) −0.806301 + 11.2199i −0.0329171 + 0.458050i
\(601\) −28.0753 19.1414i −1.14522 0.780795i −0.166506 0.986040i \(-0.553248\pi\)
−0.978711 + 0.205245i \(0.934201\pi\)
\(602\) 0.852116 + 33.2519i 0.0347296 + 1.35525i
\(603\) 44.2916 6.95334i 1.80370 0.283162i
\(604\) −0.0334180 + 0.0310074i −0.00135976 + 0.00126167i
\(605\) −10.5589 13.2404i −0.429280 0.538300i
\(606\) −19.3409 + 6.03073i −0.785668 + 0.244982i
\(607\) 2.45335 0.0995785 0.0497893 0.998760i \(-0.484145\pi\)
0.0497893 + 0.998760i \(0.484145\pi\)
\(608\) 0.0924315 0.0139318i 0.00374859 0.000565009i
\(609\) −1.32955 + 2.97629i −0.0538762 + 0.120605i
\(610\) −19.5812 2.95139i −0.792818 0.119498i
\(611\) −11.9762 1.80512i −0.484505 0.0730275i
\(612\) −0.00109130 + 0.00283140i −4.41131e−5 + 0.000114453i
\(613\) −34.8607 + 23.7676i −1.40801 + 0.959964i −0.409137 + 0.912473i \(0.634170\pi\)
−0.998872 + 0.0474915i \(0.984877\pi\)
\(614\) −0.0684859 0.174499i −0.00276387 0.00704221i
\(615\) −5.17522 + 13.3058i −0.208685 + 0.536542i
\(616\) 14.1721 31.4662i 0.571009 1.26781i
\(617\) −20.0114 + 3.01623i −0.805627 + 0.121429i −0.538929 0.842351i \(-0.681171\pi\)
−0.266698 + 0.963780i \(0.585933\pi\)
\(618\) 34.0450 10.6157i 1.36949 0.427025i
\(619\) 31.2528 1.25616 0.628078 0.778150i \(-0.283842\pi\)
0.628078 + 0.778150i \(0.283842\pi\)
\(620\) 0.0520862 0.00785073i 0.00209183 0.000315293i
\(621\) −32.2544 15.1698i −1.29432 0.608742i
\(622\) 4.82374 + 2.32299i 0.193414 + 0.0931435i
\(623\) −22.6820 + 35.1716i −0.908735 + 1.40912i
\(624\) −4.21701 18.2188i −0.168816 0.729337i
\(625\) −5.13042 6.43334i −0.205217 0.257334i
\(626\) −15.0670 10.2725i −0.602197 0.410571i
\(627\) 39.8020 0.121778i 1.58954 0.00486334i
\(628\) −0.0337393 + 0.0230031i −0.00134634 + 0.000917922i
\(629\) −0.491595 + 2.15382i −0.0196012 + 0.0858783i
\(630\) −17.8640 + 4.67842i −0.711717 + 0.186393i
\(631\) 7.53239 + 33.0016i 0.299860 + 1.31377i 0.870336 + 0.492458i \(0.163901\pi\)
−0.570477 + 0.821314i \(0.693241\pi\)
\(632\) −12.9660 12.0307i −0.515761 0.478556i
\(633\) 8.22450 21.1457i 0.326895 0.840466i
\(634\) 15.7983 4.87314i 0.627432 0.193537i
\(635\) −4.71892 + 2.27251i −0.187265 + 0.0901820i
\(636\) −0.00528064 0.00486974i −0.000209391 0.000193098i
\(637\) −18.4839 + 3.76305i −0.732358 + 0.149097i
\(638\) 4.64694 0.183974
\(639\) −3.23000 5.51629i −0.127777 0.218221i
\(640\) −13.6664 12.6805i −0.540211 0.501243i
\(641\) 5.83832 7.32102i 0.230600 0.289163i −0.653047 0.757318i \(-0.726510\pi\)
0.883647 + 0.468155i \(0.155081\pi\)
\(642\) 2.69902 1.85229i 0.106522 0.0731039i
\(643\) 15.9803 + 4.92927i 0.630202 + 0.194391i 0.593370 0.804930i \(-0.297797\pi\)
0.0368318 + 0.999321i \(0.488273\pi\)
\(644\) 0.0599308 0.00603858i 0.00236160 0.000237953i
\(645\) 22.8181 + 10.9028i 0.898463 + 0.429295i
\(646\) −1.77448 + 1.20982i −0.0698159 + 0.0475997i
\(647\) −15.9922 4.93296i −0.628720 0.193934i −0.0360114 0.999351i \(-0.511465\pi\)
−0.592709 + 0.805417i \(0.701941\pi\)
\(648\) 20.8382 14.5840i 0.818602 0.572913i
\(649\) −14.4137 + 36.7256i −0.565788 + 1.44161i
\(650\) −7.24197 4.93749i −0.284054 0.193664i
\(651\) 20.3331 + 39.2978i 0.796916 + 1.54020i
\(652\) 0.0196785 0.0134166i 0.000770670 0.000525434i
\(653\) −6.80424 29.8113i −0.266270 1.16661i −0.914315 0.405004i \(-0.867270\pi\)
0.648044 0.761603i \(-0.275587\pi\)
\(654\) 18.4624 8.96072i 0.721938 0.350392i
\(655\) 2.37535 0.0928125
\(656\) 10.0457 + 17.3997i 0.392221 + 0.679346i
\(657\) 8.63671 + 36.8004i 0.336950 + 1.43572i
\(658\) 11.7602 + 12.0406i 0.458462 + 0.469392i
\(659\) −4.60177 0.693605i −0.179259 0.0270190i 0.0587991 0.998270i \(-0.481273\pi\)
−0.238058 + 0.971251i \(0.576511\pi\)
\(660\) 0.0272961 + 0.0340142i 0.00106250 + 0.00132400i
\(661\) 2.60932 + 34.8189i 0.101491 + 1.35430i 0.782787 + 0.622290i \(0.213798\pi\)
−0.681296 + 0.732008i \(0.738583\pi\)
\(662\) 0.961627 + 12.8320i 0.0373747 + 0.498731i
\(663\) 0.890279 + 1.10939i 0.0345756 + 0.0430853i
\(664\) −21.3450 3.21724i −0.828347 0.124853i
\(665\) −20.3521 7.39172i −0.789221 0.286639i
\(666\) −22.4349 + 21.0735i −0.869336 + 0.816582i
\(667\) −2.43975 4.22577i −0.0944674 0.163622i
\(668\) −0.0355089 −0.00137388
\(669\) −34.8168 + 16.8983i −1.34609 + 0.653326i
\(670\) 7.73697 + 33.8979i 0.298905 + 1.30959i
\(671\) −32.4584 + 22.1298i −1.25304 + 0.854310i
\(672\) −0.0350913 + 0.0785541i −0.00135368 + 0.00303029i
\(673\) 28.2977 + 19.2931i 1.09080 + 0.743693i 0.968553 0.248807i \(-0.0800385\pi\)
0.122244 + 0.992500i \(0.460991\pi\)
\(674\) 10.9954 28.0157i 0.423526 1.07913i
\(675\) 2.55018 11.6656i 0.0981564 0.449010i
\(676\) −0.0181993 0.00561375i −0.000699975 0.000215914i
\(677\) −20.0276 + 13.6546i −0.769724 + 0.524789i −0.883338 0.468736i \(-0.844710\pi\)
0.113614 + 0.993525i \(0.463757\pi\)
\(678\) 25.1509 + 12.0174i 0.965914 + 0.461524i
\(679\) 0.606791 4.86919i 0.0232865 0.186863i
\(680\) 1.35284 + 0.417296i 0.0518790 + 0.0160026i
\(681\) 28.6206 19.6417i 1.09674 0.752673i
\(682\) 39.3270 49.3145i 1.50591 1.88835i
\(683\) 25.7694 + 23.9105i 0.986037 + 0.914909i 0.996378 0.0850375i \(-0.0271010\pi\)
−0.0103403 + 0.999947i \(0.503291\pi\)
\(684\) −0.0495720 0.000303343i −0.00189543 1.15986e-5i
\(685\) 34.9307 1.33464
\(686\) 23.6408 + 11.3248i 0.902609 + 0.432384i
\(687\) 0.00753728 + 0.00695078i 0.000287565 + 0.000265189i
\(688\) 32.0644 15.4414i 1.22245 0.588699i
\(689\) −3.21770 + 0.992528i −0.122584 + 0.0378123i
\(690\) 10.0201 25.7622i 0.381457 0.980749i
\(691\) 1.86442 + 1.72993i 0.0709257 + 0.0658095i 0.714839 0.699289i \(-0.246500\pi\)
−0.643913 + 0.765098i \(0.722690\pi\)
\(692\) 0.00758813 + 0.0332458i 0.000288457 + 0.00126381i
\(693\) −19.6659 + 30.9083i −0.747045 + 1.17411i
\(694\) −2.02330 + 8.86466i −0.0768034 + 0.336498i
\(695\) 4.55324 3.10435i 0.172714 0.117755i
\(696\) 3.48191 0.0106532i 0.131981 0.000403810i
\(697\) −1.26270 0.860895i −0.0478282 0.0326087i
\(698\) 8.84165 + 11.0871i 0.334661 + 0.419652i
\(699\) −5.86863 25.3543i −0.221972 0.958988i
\(700\) 0.00643999 + 0.0191241i 0.000243409 + 0.000722823i
\(701\) −37.0907 17.8619i −1.40089 0.674635i −0.427552 0.903991i \(-0.640624\pi\)
−0.973343 + 0.229356i \(0.926338\pi\)
\(702\) 1.66237 + 19.7486i 0.0627422 + 0.745365i
\(703\) −35.6882 + 5.37914i −1.34601 + 0.202878i
\(704\) −36.8624 −1.38930
\(705\) 12.2161 3.80914i 0.460086 0.143461i
\(706\) −17.3953 + 2.62192i −0.654682 + 0.0986774i
\(707\) 16.7394 14.0657i 0.629551 0.528994i
\(708\) 0.0178120 0.0457958i 0.000669417 0.00172111i
\(709\) 10.5700 + 26.9319i 0.396965 + 1.01145i 0.979999 + 0.199002i \(0.0637701\pi\)
−0.583034 + 0.812448i \(0.698135\pi\)
\(710\) 4.09599 2.79260i 0.153720 0.104804i
\(711\) 11.7964 + 14.6080i 0.442401 + 0.547842i
\(712\) 44.2042 + 6.66271i 1.65662 + 0.249696i
\(713\) −65.4923 9.87138i −2.45271 0.369686i
\(714\) −0.0566848 1.97591i −0.00212138 0.0739467i
\(715\) 20.2158 3.04704i 0.756027 0.113953i
\(716\) −0.0395655 −0.00147863
\(717\) 22.7384 7.09013i 0.849181 0.264786i
\(718\) 15.0462 + 18.8673i 0.561519 + 0.704123i
\(719\) 31.0867 28.8443i 1.15934 1.07571i 0.163320 0.986573i \(-0.447780\pi\)
0.996019 0.0891366i \(-0.0284108\pi\)
\(720\) 12.4130 + 15.3716i 0.462607 + 0.572864i
\(721\) −29.4658 + 24.7593i −1.09736 + 0.922083i
\(722\) −6.76981 4.61558i −0.251946 0.171774i
\(723\) 0.884445 12.3073i 0.0328929 0.457713i
\(724\) 0.00706092 + 0.00481405i 0.000262417 + 0.000178913i
\(725\) 1.19832 1.11188i 0.0445045 0.0412941i
\(726\) 24.9866 + 3.68797i 0.927340 + 0.136874i
\(727\) 3.35295 1.03425i 0.124354 0.0383582i −0.231953 0.972727i \(-0.574512\pi\)
0.356308 + 0.934369i \(0.384036\pi\)
\(728\) 11.7729 + 16.3514i 0.436333 + 0.606023i
\(729\) −24.1070 + 12.1594i −0.892852 + 0.450349i
\(730\) −28.0124 + 8.64068i −1.03678 + 0.319806i
\(731\) −1.68782 + 2.11646i −0.0624262 + 0.0782800i
\(732\) 0.0403419 0.0276858i 0.00149108 0.00102330i
\(733\) 4.30539 2.07337i 0.159023 0.0765816i −0.352679 0.935744i \(-0.614729\pi\)
0.511702 + 0.859163i \(0.329015\pi\)
\(734\) −2.19598 + 3.80355i −0.0810552 + 0.140392i
\(735\) 15.8329 12.1038i 0.584006 0.446456i
\(736\) −0.0643931 0.111532i −0.00237356 0.00411113i
\(737\) 56.9915 + 38.8562i 2.09931 + 1.43129i
\(738\) −7.90022 19.7728i −0.290811 0.727847i
\(739\) 13.6260 + 34.7185i 0.501241 + 1.27714i 0.927934 + 0.372745i \(0.121583\pi\)
−0.426693 + 0.904397i \(0.640322\pi\)
\(740\) −0.0289895 0.0268984i −0.00106568 0.000988803i
\(741\) −11.5575 + 20.1603i −0.424575 + 0.740609i
\(742\) 4.39831 + 1.59743i 0.161467 + 0.0586436i
\(743\) −7.22250 6.70150i −0.264968 0.245854i 0.536488 0.843908i \(-0.319751\pi\)
−0.801456 + 0.598053i \(0.795941\pi\)
\(744\) 29.3543 37.0410i 1.07618 1.35799i
\(745\) 5.66560 + 24.8226i 0.207572 + 0.909430i
\(746\) 2.08368 27.8048i 0.0762891 1.01801i
\(747\) 21.9375 + 6.62008i 0.802650 + 0.242216i
\(748\) −0.00420614 + 0.00202557i −0.000153792 + 7.40621e-5i
\(749\) −1.91469 + 2.96899i −0.0699612 + 0.108485i
\(750\) 29.0938 + 4.29419i 1.06236 + 0.156802i
\(751\) −4.85157 21.2561i −0.177036 0.775647i −0.982989 0.183666i \(-0.941203\pi\)
0.805952 0.591981i \(-0.201654\pi\)
\(752\) 6.57902 16.7631i 0.239912 0.611286i
\(753\) 2.22883 + 2.05540i 0.0812231 + 0.0749029i
\(754\) −1.35654 + 2.34960i −0.0494024 + 0.0855675i
\(755\) −14.0773 17.6523i −0.512324 0.642434i
\(756\) 0.0243756 0.0385706i 0.000886533 0.00140280i
\(757\) 23.4020 29.3452i 0.850560 1.06657i −0.146445 0.989219i \(-0.546783\pi\)
0.997004 0.0773490i \(-0.0246456\pi\)
\(758\) −4.31359 10.9909i −0.156677 0.399206i
\(759\) −20.1905 50.9853i −0.732868 1.85065i
\(760\) 1.72840 + 23.0639i 0.0626958 + 0.836617i
\(761\) 23.9927 30.0859i 0.869735 1.09061i −0.125401 0.992106i \(-0.540022\pi\)
0.995136 0.0985075i \(-0.0314069\pi\)
\(762\) 2.83158 7.28017i 0.102577 0.263733i
\(763\) −14.6436 + 16.6162i −0.530134 + 0.601548i
\(764\) −0.00175470 0.00220033i −6.34830e−5 7.96051e-5i
\(765\) −1.35800 0.643771i −0.0490986 0.0232756i
\(766\) 9.67635 16.7599i 0.349621 0.605561i
\(767\) −14.3616 18.0089i −0.518568 0.650264i
\(768\) 0.137963 0.000422112i 0.00497832 1.52317e-5i
\(769\) −17.3672 + 11.8408i −0.626278 + 0.426989i −0.834435 0.551107i \(-0.814206\pi\)
0.208157 + 0.978095i \(0.433253\pi\)
\(770\) −24.9600 13.5703i −0.899497 0.489039i
\(771\) −11.7184 3.57541i −0.422027 0.128765i
\(772\) 0.0200145