Properties

Label 547.2.o.a.4.4
Level $547$
Weight $2$
Character 547.4
Analytic conductor $4.368$
Analytic rank $0$
Dimension $6480$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.4
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.52384 - 0.0290448i) q^{2} +(-0.715155 + 3.13330i) q^{3} +(4.36948 + 0.100583i) q^{4} +(1.84693 - 3.47035i) q^{5} +(1.89595 - 7.88719i) q^{6} +(1.46224 + 3.60324i) q^{7} +(-5.97995 - 0.206528i) q^{8} +(-6.60321 - 3.17994i) q^{9} +O(q^{10})\) \(q+(-2.52384 - 0.0290448i) q^{2} +(-0.715155 + 3.13330i) q^{3} +(4.36948 + 0.100583i) q^{4} +(1.84693 - 3.47035i) q^{5} +(1.89595 - 7.88719i) q^{6} +(1.46224 + 3.60324i) q^{7} +(-5.97995 - 0.206528i) q^{8} +(-6.60321 - 3.17994i) q^{9} +(-4.76215 + 8.70498i) q^{10} +(-0.949980 - 0.989034i) q^{11} +(-3.44001 + 13.6190i) q^{12} +(4.50664 + 0.679267i) q^{13} +(-3.58581 - 9.13650i) q^{14} +(9.55281 + 8.26881i) q^{15} +(6.35444 + 0.292706i) q^{16} +(-0.0472716 + 0.280665i) q^{17} +(16.5731 + 8.21747i) q^{18} +(5.32700 - 2.87449i) q^{19} +(8.41916 - 14.9779i) q^{20} +(-12.3358 + 2.00476i) q^{21} +(2.36888 + 2.52376i) q^{22} +(0.898632 + 0.210554i) q^{23} +(4.92370 - 18.5893i) q^{24} +(-5.83941 - 8.67163i) q^{25} +(-11.3543 - 1.84526i) q^{26} +(8.67457 - 10.8776i) q^{27} +(6.02680 + 15.8914i) q^{28} +(2.05440 + 1.17040i) q^{29} +(-23.8696 - 21.1467i) q^{30} +(5.72464 + 2.05877i) q^{31} +(-4.08191 - 0.235126i) q^{32} +(3.77832 - 2.26926i) q^{33} +(0.127458 - 0.706982i) q^{34} +(15.2052 + 1.58044i) q^{35} +(-28.5328 - 14.5588i) q^{36} +(3.19129 - 2.57515i) q^{37} +(-13.5280 + 7.10005i) q^{38} +(-5.35130 + 13.6349i) q^{39} +(-11.7612 + 20.3711i) q^{40} +(2.29658 + 3.97779i) q^{41} +(31.1918 - 4.70141i) q^{42} +(-0.576621 + 5.87619i) q^{43} +(-4.05144 - 4.41711i) q^{44} +(-23.2312 + 17.0424i) q^{45} +(-2.26189 - 0.557506i) q^{46} +(-3.18885 + 0.257431i) q^{47} +(-5.46155 + 19.7010i) q^{48} +(-5.82479 + 5.65958i) q^{49} +(14.4859 + 22.0555i) q^{50} +(-0.845601 - 0.348835i) q^{51} +(19.6233 + 3.42133i) q^{52} +(1.67748 - 0.581563i) q^{53} +(-22.2092 + 27.2013i) q^{54} +(-5.18684 + 1.47009i) q^{55} +(-7.99995 - 21.8492i) q^{56} +(5.19701 + 18.7468i) q^{57} +(-5.15098 - 3.01357i) q^{58} +(3.79574 - 1.61721i) q^{59} +(40.9091 + 37.0912i) q^{60} +(-1.34648 + 0.629445i) q^{61} +(-14.3883 - 5.36228i) q^{62} +(1.80262 - 28.4428i) q^{63} +(-2.39678 - 0.165751i) q^{64} +(10.6807 - 14.3851i) q^{65} +(-9.60181 + 5.61752i) q^{66} +(0.218186 + 0.211998i) q^{67} +(-0.234782 + 1.22161i) q^{68} +(-1.30239 + 2.66511i) q^{69} +(-38.3296 - 4.43042i) q^{70} +(-7.46160 + 1.47863i) q^{71} +(38.8301 + 20.3796i) q^{72} +(-9.60129 + 8.31077i) q^{73} +(-8.12911 + 6.40658i) q^{74} +(31.3469 - 12.0951i) q^{75} +(23.5653 - 12.0242i) q^{76} +(2.17463 - 4.86922i) q^{77} +(13.9019 - 34.2569i) q^{78} +(-11.8898 - 8.51363i) q^{79} +(12.7520 - 21.5115i) q^{80} +(14.1703 + 17.7690i) q^{81} +(-5.68068 - 10.1060i) q^{82} +(6.48723 + 4.10228i) q^{83} +(-54.1025 + 7.51898i) q^{84} +(0.886699 + 0.682417i) q^{85} +(1.62597 - 14.8138i) q^{86} +(-5.13642 + 5.60002i) q^{87} +(5.47657 + 6.11057i) q^{88} +(1.49227 + 17.2472i) q^{89} +(59.1268 - 42.3375i) q^{90} +(4.14223 + 17.2318i) q^{91} +(3.90537 + 1.01040i) q^{92} +(-10.5447 + 16.4647i) q^{93} +(8.05564 - 0.557095i) q^{94} +(-0.136917 - 23.7956i) q^{95} +(3.65592 - 12.6217i) q^{96} +(0.313124 + 2.35226i) q^{97} +(14.8653 - 14.1147i) q^{98} +(3.12785 + 9.55169i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.52384 0.0290448i −1.78463 0.0205378i −0.887121 0.461538i \(-0.847298\pi\)
−0.897507 + 0.441000i \(0.854624\pi\)
\(3\) −0.715155 + 3.13330i −0.412895 + 1.80901i 0.157357 + 0.987542i \(0.449703\pi\)
−0.570252 + 0.821470i \(0.693154\pi\)
\(4\) 4.36948 + 0.100583i 2.18474 + 0.0502914i
\(5\) 1.84693 3.47035i 0.825970 1.55199i −0.00786110 0.999969i \(-0.502502\pi\)
0.833832 0.552019i \(-0.186142\pi\)
\(6\) 1.89595 7.88719i 0.774017 3.21993i
\(7\) 1.46224 + 3.60324i 0.552675 + 1.36190i 0.904757 + 0.425929i \(0.140053\pi\)
−0.352082 + 0.935969i \(0.614526\pi\)
\(8\) −5.97995 0.206528i −2.11423 0.0730186i
\(9\) −6.60321 3.17994i −2.20107 1.05998i
\(10\) −4.76215 + 8.70498i −1.50592 + 2.75276i
\(11\) −0.949980 0.989034i −0.286430 0.298205i 0.562406 0.826861i \(-0.309876\pi\)
−0.848836 + 0.528656i \(0.822696\pi\)
\(12\) −3.44001 + 13.6190i −0.993046 + 3.93145i
\(13\) 4.50664 + 0.679267i 1.24992 + 0.188395i 0.740460 0.672101i \(-0.234608\pi\)
0.509458 + 0.860496i \(0.329846\pi\)
\(14\) −3.58581 9.13650i −0.958349 2.44183i
\(15\) 9.55281 + 8.26881i 2.46653 + 2.13500i
\(16\) 6.35444 + 0.292706i 1.58861 + 0.0731765i
\(17\) −0.0472716 + 0.280665i −0.0114651 + 0.0680713i −0.991256 0.131953i \(-0.957875\pi\)
0.979791 + 0.200025i \(0.0641022\pi\)
\(18\) 16.5731 + 8.21747i 3.90632 + 1.93688i
\(19\) 5.32700 2.87449i 1.22210 0.659454i 0.269300 0.963056i \(-0.413208\pi\)
0.952799 + 0.303602i \(0.0981894\pi\)
\(20\) 8.41916 14.9779i 1.88258 3.34915i
\(21\) −12.3358 + 2.00476i −2.69189 + 0.437474i
\(22\) 2.36888 + 2.52376i 0.505046 + 0.538068i
\(23\) 0.898632 + 0.210554i 0.187378 + 0.0439036i 0.320757 0.947162i \(-0.396063\pi\)
−0.133379 + 0.991065i \(0.542583\pi\)
\(24\) 4.92370 18.5893i 1.00505 3.79452i
\(25\) −5.83941 8.67163i −1.16788 1.73433i
\(26\) −11.3543 1.84526i −2.22677 0.361885i
\(27\) 8.67457 10.8776i 1.66942 2.09339i
\(28\) 6.02680 + 15.8914i 1.13896 + 3.00319i
\(29\) 2.05440 + 1.17040i 0.381492 + 0.217337i 0.673679 0.739024i \(-0.264713\pi\)
−0.292188 + 0.956361i \(0.594383\pi\)
\(30\) −23.8696 21.1467i −4.35798 3.86083i
\(31\) 5.72464 + 2.05877i 1.02818 + 0.369765i 0.797534 0.603273i \(-0.206137\pi\)
0.230642 + 0.973039i \(0.425917\pi\)
\(32\) −4.08191 0.235126i −0.721586 0.0415647i
\(33\) 3.77832 2.26926i 0.657722 0.395027i
\(34\) 0.127458 0.706982i 0.0218589 0.121246i
\(35\) 15.2052 + 1.58044i 2.57014 + 0.267143i
\(36\) −28.5328 14.5588i −4.75546 2.42647i
\(37\) 3.19129 2.57515i 0.524645 0.423352i −0.328905 0.944363i \(-0.606680\pi\)
0.853550 + 0.521012i \(0.174445\pi\)
\(38\) −13.5280 + 7.10005i −2.19453 + 1.15178i
\(39\) −5.35130 + 13.6349i −0.856893 + 2.18333i
\(40\) −11.7612 + 20.3711i −1.85962 + 3.22095i
\(41\) 2.29658 + 3.97779i 0.358666 + 0.621227i 0.987738 0.156120i \(-0.0498985\pi\)
−0.629073 + 0.777347i \(0.716565\pi\)
\(42\) 31.1918 4.70141i 4.81300 0.725443i
\(43\) −0.576621 + 5.87619i −0.0879338 + 0.896111i 0.844689 + 0.535258i \(0.179785\pi\)
−0.932623 + 0.360853i \(0.882486\pi\)
\(44\) −4.05144 4.41711i −0.610777 0.665905i
\(45\) −23.2312 + 17.0424i −3.46310 + 2.54052i
\(46\) −2.26189 0.557506i −0.333498 0.0821998i
\(47\) −3.18885 + 0.257431i −0.465142 + 0.0375501i −0.310816 0.950470i \(-0.600602\pi\)
−0.154325 + 0.988020i \(0.549320\pi\)
\(48\) −5.46155 + 19.7010i −0.788307 + 2.84360i
\(49\) −5.82479 + 5.65958i −0.832113 + 0.808512i
\(50\) 14.4859 + 22.0555i 2.04862 + 3.11911i
\(51\) −0.845601 0.348835i −0.118408 0.0488467i
\(52\) 19.6233 + 3.42133i 2.72127 + 0.474453i
\(53\) 1.67748 0.581563i 0.230419 0.0798838i −0.209908 0.977721i \(-0.567317\pi\)
0.440327 + 0.897837i \(0.354862\pi\)
\(54\) −22.2092 + 27.2013i −3.02229 + 3.70163i
\(55\) −5.18684 + 1.47009i −0.699393 + 0.198227i
\(56\) −7.99995 21.8492i −1.06904 2.91972i
\(57\) 5.19701 + 18.7468i 0.688361 + 2.48308i
\(58\) −5.15098 3.01357i −0.676357 0.395701i
\(59\) 3.79574 1.61721i 0.494163 0.210543i −0.130484 0.991450i \(-0.541653\pi\)
0.624647 + 0.780907i \(0.285243\pi\)
\(60\) 40.9091 + 37.0912i 5.28134 + 4.78846i
\(61\) −1.34648 + 0.629445i −0.172399 + 0.0805922i −0.507765 0.861496i \(-0.669528\pi\)
0.335366 + 0.942088i \(0.391140\pi\)
\(62\) −14.3883 5.36228i −1.82732 0.681010i
\(63\) 1.80262 28.4428i 0.227108 3.58346i
\(64\) −2.39678 0.165751i −0.299597 0.0207189i
\(65\) 10.6807 14.3851i 1.32478 1.78425i
\(66\) −9.60181 + 5.61752i −1.18190 + 0.691469i
\(67\) 0.218186 + 0.211998i 0.0266557 + 0.0258996i 0.710070 0.704131i \(-0.248663\pi\)
−0.683414 + 0.730031i \(0.739506\pi\)
\(68\) −0.234782 + 1.22161i −0.0284716 + 0.148141i
\(69\) −1.30239 + 2.66511i −0.156789 + 0.320841i
\(70\) −38.3296 4.43042i −4.58126 0.529536i
\(71\) −7.46160 + 1.47863i −0.885529 + 0.175481i −0.616221 0.787573i \(-0.711337\pi\)
−0.269308 + 0.963054i \(0.586795\pi\)
\(72\) 38.8301 + 20.3796i 4.57617 + 2.40176i
\(73\) −9.60129 + 8.31077i −1.12375 + 0.972702i −0.999808 0.0195877i \(-0.993765\pi\)
−0.123937 + 0.992290i \(0.539552\pi\)
\(74\) −8.12911 + 6.40658i −0.944990 + 0.744750i
\(75\) 31.3469 12.0951i 3.61963 1.39662i
\(76\) 23.5653 12.0242i 2.70313 1.37927i
\(77\) 2.17463 4.86922i 0.247822 0.554899i
\(78\) 13.9019 34.2569i 1.57408 3.87883i
\(79\) −11.8898 8.51363i −1.33770 0.957858i −0.999861 0.0166555i \(-0.994698\pi\)
−0.337844 0.941202i \(-0.609697\pi\)
\(80\) 12.7520 21.5115i 1.42571 2.40506i
\(81\) 14.1703 + 17.7690i 1.57448 + 1.97433i
\(82\) −5.68068 10.1060i −0.627326 1.11603i
\(83\) 6.48723 + 4.10228i 0.712066 + 0.450284i 0.840765 0.541400i \(-0.182106\pi\)
−0.128699 + 0.991684i \(0.541080\pi\)
\(84\) −54.1025 + 7.51898i −5.90307 + 0.820388i
\(85\) 0.886699 + 0.682417i 0.0961760 + 0.0740185i
\(86\) 1.62597 14.8138i 0.175333 1.59742i
\(87\) −5.13642 + 5.60002i −0.550682 + 0.600386i
\(88\) 5.47657 + 6.11057i 0.583804 + 0.651389i
\(89\) 1.49227 + 17.2472i 0.158180 + 1.82819i 0.475317 + 0.879815i \(0.342334\pi\)
−0.317137 + 0.948380i \(0.602721\pi\)
\(90\) 59.1268 42.3375i 6.23251 4.46277i
\(91\) 4.14223 + 17.2318i 0.434224 + 1.80638i
\(92\) 3.90537 + 1.01040i 0.407163 + 0.105341i
\(93\) −10.5447 + 16.4647i −1.09344 + 1.70731i
\(94\) 8.05564 0.557095i 0.830876 0.0574600i
\(95\) −0.136917 23.7956i −0.0140474 2.44137i
\(96\) 3.65592 12.6217i 0.373130 1.28820i
\(97\) 0.313124 + 2.35226i 0.0317929 + 0.238836i 0.999933 0.0115732i \(-0.00368396\pi\)
−0.968140 + 0.250409i \(0.919435\pi\)
\(98\) 14.8653 14.1147i 1.50162 1.42580i
\(99\) 3.12785 + 9.55169i 0.314361 + 0.959981i
\(100\) −24.6430 38.4778i −2.46430 3.84778i
\(101\) 8.00742 + 10.7846i 0.796768 + 1.07311i 0.995658 + 0.0930848i \(0.0296728\pi\)
−0.198891 + 0.980022i \(0.563734\pi\)
\(102\) 2.12403 + 0.904967i 0.210311 + 0.0896050i
\(103\) 3.70375 + 8.04319i 0.364941 + 0.792519i 0.999802 + 0.0198920i \(0.00633223\pi\)
−0.634861 + 0.772627i \(0.718942\pi\)
\(104\) −26.8092 4.99273i −2.62886 0.489577i
\(105\) −15.8260 + 46.5121i −1.54446 + 4.53912i
\(106\) −4.25058 + 1.41905i −0.412853 + 0.137831i
\(107\) −1.83541 + 0.452388i −0.177436 + 0.0437340i −0.327033 0.945013i \(-0.606049\pi\)
0.149597 + 0.988747i \(0.452203\pi\)
\(108\) 38.9974 46.6568i 3.75253 4.48955i
\(109\) −9.17027 17.7195i −0.878352 1.69722i −0.701109 0.713055i \(-0.747311\pi\)
−0.177244 0.984167i \(-0.556718\pi\)
\(110\) 13.1335 3.55963i 1.25223 0.339398i
\(111\) 5.78644 + 11.8409i 0.549225 + 1.12389i
\(112\) 8.23703 + 23.3246i 0.778326 + 2.20397i
\(113\) −0.334969 11.6401i −0.0315112 1.09501i −0.852063 0.523439i \(-0.824649\pi\)
0.820552 0.571572i \(-0.193666\pi\)
\(114\) −12.5720 47.4650i −1.17747 4.44550i
\(115\) 2.39040 2.72969i 0.222906 0.254545i
\(116\) 8.85892 + 5.32066i 0.822530 + 0.494011i
\(117\) −27.5983 18.8162i −2.55146 1.73956i
\(118\) −9.62683 + 3.97135i −0.886222 + 0.365592i
\(119\) −1.08043 + 0.240069i −0.0990426 + 0.0220071i
\(120\) −55.4175 51.4200i −5.05891 4.69398i
\(121\) 0.367199 9.11195i 0.0333817 0.828359i
\(122\) 3.41658 1.54951i 0.309323 0.140286i
\(123\) −14.1060 + 4.35114i −1.27190 + 0.392329i
\(124\) 24.8066 + 9.57153i 2.22770 + 0.859549i
\(125\) −21.3278 + 2.21683i −1.90762 + 0.198279i
\(126\) −5.37564 + 71.7329i −0.478900 + 6.39048i
\(127\) 2.25653 6.16297i 0.200235 0.546875i −0.798225 0.602360i \(-0.794227\pi\)
0.998460 + 0.0554848i \(0.0176704\pi\)
\(128\) 14.1951 + 1.14595i 1.25468 + 0.101288i
\(129\) −17.9995 6.00911i −1.58477 0.529073i
\(130\) −27.3743 + 35.9955i −2.40089 + 3.15701i
\(131\) 8.32663 + 1.74986i 0.727501 + 0.152886i 0.554676 0.832067i \(-0.312842\pi\)
0.172825 + 0.984953i \(0.444710\pi\)
\(132\) 16.7376 9.53545i 1.45682 0.829954i
\(133\) 18.1469 + 14.9913i 1.57353 + 1.29991i
\(134\) −0.544510 0.541386i −0.0470385 0.0467687i
\(135\) −21.7277 50.1939i −1.87002 4.32000i
\(136\) 0.340647 1.66860i 0.0292102 0.143081i
\(137\) −6.06485 + 0.139609i −0.518155 + 0.0119276i −0.281305 0.959618i \(-0.590767\pi\)
−0.236851 + 0.971546i \(0.576115\pi\)
\(138\) 3.36444 6.68848i 0.286400 0.569362i
\(139\) 16.0109 + 7.26139i 1.35803 + 0.615903i 0.954265 0.298961i \(-0.0966400\pi\)
0.403762 + 0.914864i \(0.367702\pi\)
\(140\) 66.2797 + 8.43507i 5.60166 + 0.712894i
\(141\) 1.47392 10.1757i 0.124126 0.856951i
\(142\) 18.8749 3.51510i 1.58394 0.294981i
\(143\) −3.60940 5.10251i −0.301833 0.426694i
\(144\) −41.0290 22.1396i −3.41908 1.84496i
\(145\) 7.85601 4.96784i 0.652406 0.412556i
\(146\) 24.4735 20.6962i 2.02544 1.71283i
\(147\) −13.5675 22.2983i −1.11903 1.83913i
\(148\) 14.2033 10.9311i 1.16750 0.898527i
\(149\) 2.53544 2.57959i 0.207711 0.211328i −0.601457 0.798906i \(-0.705413\pi\)
0.809168 + 0.587577i \(0.199918\pi\)
\(150\) −79.4660 + 29.6156i −6.48837 + 2.41811i
\(151\) 0.841588 + 2.78516i 0.0684875 + 0.226653i 0.984765 0.173892i \(-0.0556342\pi\)
−0.916277 + 0.400544i \(0.868821\pi\)
\(152\) −32.4489 + 16.0891i −2.63195 + 1.30500i
\(153\) 1.20464 1.70297i 0.0973896 0.137677i
\(154\) −5.62986 + 12.2260i −0.453667 + 0.985198i
\(155\) 17.7176 16.0641i 1.42311 1.29030i
\(156\) −24.7538 + 59.0390i −1.98189 + 4.72691i
\(157\) 0.975966 + 1.16765i 0.0778906 + 0.0931888i 0.804805 0.593539i \(-0.202270\pi\)
−0.726914 + 0.686728i \(0.759046\pi\)
\(158\) 29.7607 + 21.8324i 2.36763 + 1.73689i
\(159\) 0.622555 + 5.67194i 0.0493718 + 0.449814i
\(160\) −8.35495 + 13.7314i −0.660517 + 1.08556i
\(161\) 0.555338 + 3.54587i 0.0437668 + 0.279454i
\(162\) −35.2476 45.2578i −2.76931 3.55579i
\(163\) −2.59415 + 8.24138i −0.203190 + 0.645515i 0.796001 + 0.605295i \(0.206945\pi\)
−0.999191 + 0.0402196i \(0.987194\pi\)
\(164\) 9.63476 + 17.6119i 0.752348 + 1.37526i
\(165\) −0.896843 17.3033i −0.0698191 1.34706i
\(166\) −16.2536 10.5419i −1.26153 0.818213i
\(167\) −0.0294771 + 1.70751i −0.00228101 + 0.132131i 0.996525 + 0.0832884i \(0.0265423\pi\)
−0.998806 + 0.0488426i \(0.984447\pi\)
\(168\) 74.1813 9.44067i 5.72321 0.728363i
\(169\) 7.42597 + 2.29061i 0.571228 + 0.176201i
\(170\) −2.21807 1.74807i −0.170118 0.134071i
\(171\) −44.3161 + 2.04134i −3.38893 + 0.156105i
\(172\) −3.11057 + 25.6179i −0.237179 + 1.95335i
\(173\) −15.7409 + 10.4687i −1.19676 + 0.795920i −0.983470 0.181069i \(-0.942044\pi\)
−0.213290 + 0.976989i \(0.568418\pi\)
\(174\) 13.1262 13.9844i 0.995093 1.06015i
\(175\) 22.7074 33.7209i 1.71652 2.54906i
\(176\) −5.74710 6.56283i −0.433204 0.494692i
\(177\) 2.35267 + 13.0498i 0.176838 + 0.980880i
\(178\) −3.26531 43.5725i −0.244745 3.26590i
\(179\) −16.8397 4.77283i −1.25866 0.356738i −0.423071 0.906097i \(-0.639048\pi\)
−0.835587 + 0.549359i \(0.814872\pi\)
\(180\) −103.222 + 72.1295i −7.69373 + 5.37622i
\(181\) −2.88804 14.1466i −0.214667 1.05151i −0.934118 0.356964i \(-0.883812\pi\)
0.719452 0.694543i \(-0.244393\pi\)
\(182\) −9.95385 43.6107i −0.737828 3.23264i
\(183\) −1.00930 4.66907i −0.0746097 0.345147i
\(184\) −5.33029 1.44469i −0.392954 0.106504i
\(185\) −3.04259 15.8310i −0.223695 1.16392i
\(186\) 27.0915 41.2480i 1.98644 3.02445i
\(187\) 0.322495 0.219873i 0.0235831 0.0160787i
\(188\) −13.9595 + 0.804094i −1.01810 + 0.0586446i
\(189\) 51.8788 + 15.3510i 3.77363 + 1.11662i
\(190\) −0.345580 + 60.0602i −0.0250710 + 4.35723i
\(191\) 0.846821 + 13.3617i 0.0612738 + 0.966817i 0.903744 + 0.428074i \(0.140808\pi\)
−0.842470 + 0.538743i \(0.818899\pi\)
\(192\) 2.23342 7.39129i 0.161183 0.533420i
\(193\) 1.92069 + 11.4037i 0.138254 + 0.820854i 0.965768 + 0.259408i \(0.0835276\pi\)
−0.827514 + 0.561446i \(0.810245\pi\)
\(194\) −0.721955 5.94583i −0.0518334 0.426886i
\(195\) 37.4344 + 43.7535i 2.68073 + 3.13325i
\(196\) −26.0206 + 24.1435i −1.85861 + 1.72454i
\(197\) 8.00751 11.6009i 0.570511 0.826528i −0.426443 0.904514i \(-0.640234\pi\)
0.996954 + 0.0779860i \(0.0248489\pi\)
\(198\) −7.61679 24.1978i −0.541302 1.71966i
\(199\) −6.61046 + 6.88222i −0.468603 + 0.487868i −0.912998 0.407963i \(-0.866239\pi\)
0.444395 + 0.895831i \(0.353419\pi\)
\(200\) 33.1284 + 53.0619i 2.34254 + 3.75204i
\(201\) −0.820289 + 0.532031i −0.0578587 + 0.0375266i
\(202\) −19.8962 27.4512i −1.39989 1.93146i
\(203\) −1.21321 + 9.11389i −0.0851504 + 0.639670i
\(204\) −3.65975 1.60928i −0.256234 0.112672i
\(205\) 18.0460 0.623248i 1.26038 0.0435295i
\(206\) −9.11408 20.4073i −0.635008 1.42185i
\(207\) −5.26431 4.24793i −0.365895 0.295252i
\(208\) 28.4384 + 5.63548i 1.97185 + 0.390750i
\(209\) −7.90352 2.53788i −0.546698 0.175549i
\(210\) 41.2934 116.930i 2.84952 8.06891i
\(211\) 22.7233 2.62652i 1.56434 0.180817i 0.711383 0.702805i \(-0.248069\pi\)
0.852953 + 0.521987i \(0.174809\pi\)
\(212\) 7.38819 2.37240i 0.507423 0.162937i
\(213\) 0.703222 24.4369i 0.0481840 1.67439i
\(214\) 4.64543 1.08845i 0.317555 0.0744048i
\(215\) 19.3275 + 12.8540i 1.31812 + 0.876633i
\(216\) −54.1200 + 63.2557i −3.68240 + 4.30401i
\(217\) 0.952567 + 23.6377i 0.0646644 + 1.60463i
\(218\) 22.6297 + 44.9876i 1.53267 + 3.04695i
\(219\) −19.1737 36.0272i −1.29564 2.43449i
\(220\) −22.8116 + 5.90183i −1.53796 + 0.397901i
\(221\) −0.403683 + 1.23275i −0.0271546 + 0.0829235i
\(222\) −14.2602 30.0526i −0.957079 2.01700i
\(223\) −2.56084 3.36734i −0.171486 0.225494i 0.702204 0.711976i \(-0.252199\pi\)
−0.873691 + 0.486482i \(0.838280\pi\)
\(224\) −5.12151 15.0519i −0.342196 1.00570i
\(225\) 10.9836 + 75.8296i 0.732242 + 5.05531i
\(226\) 0.507324 + 29.3876i 0.0337467 + 1.95483i
\(227\) −1.61380 + 2.58482i −0.107112 + 0.171561i −0.897459 0.441099i \(-0.854589\pi\)
0.790347 + 0.612659i \(0.209900\pi\)
\(228\) 20.8226 + 82.4365i 1.37901 + 5.45949i
\(229\) −0.195567 1.99297i −0.0129234 0.131699i 0.986577 0.163295i \(-0.0522122\pi\)
−0.999501 + 0.0315955i \(0.989941\pi\)
\(230\) −6.11229 + 6.81989i −0.403033 + 0.449690i
\(231\) 13.7015 + 10.2960i 0.901494 + 0.677429i
\(232\) −12.0435 7.42320i −0.790692 0.487357i
\(233\) −16.7379 20.5002i −1.09654 1.34301i −0.934391 0.356248i \(-0.884056\pi\)
−0.162146 0.986767i \(-0.551842\pi\)
\(234\) 69.1073 + 48.2907i 4.51768 + 3.15686i
\(235\) −4.99620 + 11.5419i −0.325916 + 0.752909i
\(236\) 16.7481 6.68460i 1.09021 0.435130i
\(237\) 35.1788 31.1657i 2.28511 2.02443i
\(238\) 2.73380 0.574515i 0.177206 0.0372403i
\(239\) 5.16335 10.8815i 0.333989 0.703867i −0.665090 0.746763i \(-0.731607\pi\)
0.999080 + 0.0428956i \(0.0136583\pi\)
\(240\) 58.2825 + 55.3399i 3.76212 + 3.57217i
\(241\) 14.3872 19.8503i 0.926761 1.27867i −0.0334631 0.999440i \(-0.510654\pi\)
0.960224 0.279229i \(-0.0900790\pi\)
\(242\) −1.19141 + 22.9865i −0.0765867 + 1.47763i
\(243\) −28.2043 + 13.5825i −1.80930 + 0.871315i
\(244\) −5.94671 + 2.61491i −0.380699 + 0.167403i
\(245\) 8.88278 + 30.6669i 0.567500 + 1.95924i
\(246\) 35.7278 10.5719i 2.27792 0.674039i
\(247\) 25.9594 9.33585i 1.65176 0.594026i
\(248\) −33.8079 13.4936i −2.14680 0.856845i
\(249\) −17.4930 + 17.3927i −1.10858 + 1.10222i
\(250\) 53.8925 4.97548i 3.40846 0.314677i
\(251\) −8.67644 + 6.51992i −0.547652 + 0.411534i −0.838230 0.545318i \(-0.816409\pi\)
0.290577 + 0.956852i \(0.406153\pi\)
\(252\) 10.7373 124.099i 0.676389 7.81750i
\(253\) −0.645438 1.08880i −0.0405783 0.0684523i
\(254\) −5.87414 + 15.4888i −0.368576 + 0.971856i
\(255\) −2.77234 + 2.29026i −0.173611 + 0.143422i
\(256\) −31.0083 2.86276i −1.93802 0.178922i
\(257\) 23.8945 14.7278i 1.49050 0.918696i 0.491647 0.870794i \(-0.336395\pi\)
0.998852 0.0479019i \(-0.0152535\pi\)
\(258\) 45.2534 + 15.6889i 2.81735 + 0.976746i
\(259\) 13.9453 + 7.73351i 0.866520 + 0.480537i
\(260\) 48.1161 61.7809i 2.98403 3.83149i
\(261\) −9.84383 14.2612i −0.609317 0.882749i
\(262\) −20.9643 4.65822i −1.29518 0.287786i
\(263\) 12.1107 2.11151i 0.746780 0.130201i 0.214446 0.976736i \(-0.431205\pi\)
0.532334 + 0.846535i \(0.321315\pi\)
\(264\) −23.0628 + 12.7897i −1.41942 + 0.787153i
\(265\) 1.07995 6.89553i 0.0663406 0.423589i
\(266\) −45.3644 38.3628i −2.78147 2.35217i
\(267\) −55.1077 7.65868i −3.37254 0.468703i
\(268\) 0.932036 + 0.948265i 0.0569332 + 0.0579245i
\(269\) −6.74739 3.15424i −0.411396 0.192317i 0.206728 0.978398i \(-0.433719\pi\)
−0.618123 + 0.786081i \(0.712107\pi\)
\(270\) 53.3794 + 127.313i 3.24857 + 7.74800i
\(271\) 0.0433290 0.0837236i 0.00263205 0.00508585i −0.886796 0.462162i \(-0.847074\pi\)
0.889428 + 0.457076i \(0.151103\pi\)
\(272\) −0.382537 + 1.76963i −0.0231947 + 0.107300i
\(273\) −56.9547 + 0.655444i −3.44705 + 0.0396693i
\(274\) 15.3108 0.176199i 0.924959 0.0106446i
\(275\) −3.02921 + 14.0133i −0.182668 + 0.845031i
\(276\) −5.95883 + 11.5141i −0.358679 + 0.693069i
\(277\) −2.98813 7.12685i −0.179540 0.428211i 0.807252 0.590207i \(-0.200954\pi\)
−0.986791 + 0.161996i \(0.948207\pi\)
\(278\) −40.1981 18.7917i −2.41092 1.12705i
\(279\) −31.2543 31.7985i −1.87115 1.90373i
\(280\) −90.5997 12.5912i −5.41437 0.752470i
\(281\) −3.56254 3.01269i −0.212523 0.179722i 0.533176 0.846004i \(-0.320998\pi\)
−0.745700 + 0.666282i \(0.767885\pi\)
\(282\) −4.01549 + 25.6391i −0.239119 + 1.52679i
\(283\) 17.5150 9.71311i 1.04116 0.577385i 0.130887 0.991397i \(-0.458217\pi\)
0.910271 + 0.414012i \(0.135873\pi\)
\(284\) −32.7520 + 5.71032i −1.94347 + 0.338845i
\(285\) 74.6565 + 16.5885i 4.42227 + 0.982619i
\(286\) 8.96137 + 12.9828i 0.529897 + 0.767688i
\(287\) −10.9748 + 14.0916i −0.647823 + 0.831803i
\(288\) 26.2060 + 14.5328i 1.54420 + 0.856354i
\(289\) 15.9856 + 5.54202i 0.940327 + 0.326001i
\(290\) −19.9716 + 12.3099i −1.17277 + 0.722861i
\(291\) −7.59427 0.701120i −0.445184 0.0411004i
\(292\) −42.7885 + 35.3480i −2.50401 + 2.06859i
\(293\) −7.87151 + 20.7555i −0.459859 + 1.21255i 0.481890 + 0.876232i \(0.339950\pi\)
−0.941749 + 0.336316i \(0.890819\pi\)
\(294\) 33.5947 + 56.6715i 1.95928 + 3.30515i
\(295\) 1.39815 16.1594i 0.0814036 0.940838i
\(296\) −19.6156 + 14.7401i −1.14013 + 0.856754i
\(297\) −18.9990 + 1.75403i −1.10243 + 0.101779i
\(298\) −6.47398 + 6.43684i −0.375028 + 0.372876i
\(299\) 3.90679 + 1.55930i 0.225936 + 0.0901768i
\(300\) 138.186 49.6962i 7.97818 2.86921i
\(301\) −22.0165 + 6.51470i −1.26901 + 0.375501i
\(302\) −2.04314 7.05375i −0.117570 0.405898i
\(303\) −39.5179 + 17.3770i −2.27024 + 0.998282i
\(304\) 34.6915 16.7066i 1.98970 0.958187i
\(305\) −0.302448 + 5.83529i −0.0173181 + 0.334128i
\(306\) −3.08979 + 4.26305i −0.176632 + 0.243702i
\(307\) −8.86291 8.41543i −0.505833 0.480294i 0.392412 0.919790i \(-0.371641\pi\)
−0.898245 + 0.439495i \(0.855157\pi\)
\(308\) 9.99177 21.0572i 0.569334 1.19985i
\(309\) −27.8505 + 5.85284i −1.58436 + 0.332956i
\(310\) −45.1831 + 40.0288i −2.56623 + 2.27348i
\(311\) −19.6690 + 7.85041i −1.11533 + 0.445156i −0.854093 0.520120i \(-0.825887\pi\)
−0.261233 + 0.965276i \(0.584129\pi\)
\(312\) 34.8164 80.4306i 1.97109 4.55349i
\(313\) 6.51239 + 4.55073i 0.368102 + 0.257222i 0.742216 0.670161i \(-0.233775\pi\)
−0.374114 + 0.927383i \(0.622053\pi\)
\(314\) −2.42927 2.97532i −0.137092 0.167907i
\(315\) −95.3773 58.7875i −5.37390 3.31230i
\(316\) −51.0958 38.3960i −2.87436 2.15994i
\(317\) −0.228474 + 0.254923i −0.0128324 + 0.0143179i −0.751065 0.660229i \(-0.770459\pi\)
0.738232 + 0.674547i \(0.235661\pi\)
\(318\) −1.40649 14.3332i −0.0788721 0.803765i
\(319\) −0.794073 3.14372i −0.0444595 0.176015i
\(320\) −5.00189 + 8.01153i −0.279614 + 0.447858i
\(321\) −0.104864 6.07442i −0.00585294 0.339041i
\(322\) −1.29860 8.96536i −0.0723681 0.499620i
\(323\) 0.554954 + 1.63099i 0.0308785 + 0.0907505i
\(324\) 60.1296 + 79.0666i 3.34053 + 4.39259i
\(325\) −20.4258 43.0465i −1.13302 2.38779i
\(326\) 6.78661 20.7246i 0.375876 1.14783i
\(327\) 62.0787 16.0610i 3.43296 0.888175i
\(328\) −12.9119 24.2613i −0.712940 1.33961i
\(329\) −5.59045 11.1138i −0.308212 0.612723i
\(330\) 1.76092 + 43.6968i 0.0969355 + 2.40543i
\(331\) 0.640794 0.748963i 0.0352212 0.0411667i −0.741956 0.670449i \(-0.766102\pi\)
0.777177 + 0.629282i \(0.216651\pi\)
\(332\) 27.9332 + 18.5773i 1.53303 + 1.01956i
\(333\) −29.2616 + 6.85614i −1.60352 + 0.375714i
\(334\) 0.123990 4.30863i 0.00678443 0.235758i
\(335\) 1.13868 0.365638i 0.0622127 0.0199770i
\(336\) −78.9738 + 9.12837i −4.30837 + 0.497993i
\(337\) 11.3407 32.1132i 0.617767 1.74932i −0.0433783 0.999059i \(-0.513812\pi\)
0.661145 0.750258i \(-0.270071\pi\)
\(338\) −18.6755 5.99682i −1.01581 0.326184i
\(339\) 36.7116 + 7.27494i 1.99390 + 0.395120i
\(340\) 3.80577 + 3.07099i 0.206397 + 0.166548i
\(341\) −3.40211 7.61765i −0.184234 0.412519i
\(342\) 111.906 3.86487i 6.05119 0.208988i
\(343\) −3.99227 1.75550i −0.215562 0.0947879i
\(344\) 4.66176 35.0202i 0.251345 1.88816i
\(345\) 6.84343 + 9.44200i 0.368438 + 0.508340i
\(346\) 40.0317 25.9642i 2.15212 1.39584i
\(347\) −12.2123 19.5605i −0.655593 1.05006i −0.994033 0.109076i \(-0.965211\pi\)
0.338440 0.940988i \(-0.390101\pi\)
\(348\) −23.0067 + 23.9525i −1.23329 + 1.28399i
\(349\) −7.93298 25.2023i −0.424643 1.34905i −0.886760 0.462231i \(-0.847049\pi\)
0.462117 0.886819i \(-0.347090\pi\)
\(350\) −58.2893 + 84.4467i −3.11570 + 4.51386i
\(351\) 46.4819 43.1289i 2.48102 2.30205i
\(352\) 3.64518 + 4.26051i 0.194289 + 0.227086i
\(353\) 1.41673 + 11.6678i 0.0754051 + 0.621017i 0.980600 + 0.196020i \(0.0628017\pi\)
−0.905195 + 0.424997i \(0.860275\pi\)
\(354\) −5.55875 33.0039i −0.295444 1.75414i
\(355\) −8.64967 + 28.6253i −0.459077 + 1.51927i
\(356\) 4.78566 + 75.5111i 0.253639 + 4.00208i
\(357\) 0.0204666 3.55699i 0.00108320 0.188256i
\(358\) 42.3621 + 12.5350i 2.23891 + 0.662494i
\(359\) −7.04808 + 0.405983i −0.371984 + 0.0214270i −0.242492 0.970154i \(-0.577965\pi\)
−0.129492 + 0.991580i \(0.541335\pi\)
\(360\) 142.441 97.1145i 7.50729 5.11838i
\(361\) 9.68374 14.7439i 0.509671 0.775997i
\(362\) 6.87809 + 35.7876i 0.361504 + 1.88096i
\(363\) 28.2879 + 7.66701i 1.48473 + 0.402413i
\(364\) 16.3662 + 75.7105i 0.857820 + 3.96831i
\(365\) 11.1084 + 48.6692i 0.581442 + 2.54746i
\(366\) 2.41171 + 11.8133i 0.126062 + 0.617492i
\(367\) 2.45910 1.71837i 0.128364 0.0896981i −0.506850 0.862034i \(-0.669190\pi\)
0.635214 + 0.772336i \(0.280912\pi\)
\(368\) 5.64868 + 1.60099i 0.294458 + 0.0834573i
\(369\) −2.51567 33.5692i −0.130960 1.74754i
\(370\) 7.21921 + 40.0434i 0.375309 + 2.08175i
\(371\) 4.54839 + 5.19397i 0.236141 + 0.269658i
\(372\) −47.7311 + 70.8815i −2.47474 + 3.67503i
\(373\) −23.6128 + 25.1567i −1.22263 + 1.30257i −0.283509 + 0.958969i \(0.591499\pi\)
−0.939117 + 0.343596i \(0.888355\pi\)
\(374\) −0.820312 + 0.545559i −0.0424173 + 0.0282102i
\(375\) 8.30670 68.4118i 0.428956 3.53277i
\(376\) 19.1223 0.880835i 0.986158 0.0454256i
\(377\) 8.46342 + 6.67004i 0.435888 + 0.343525i
\(378\) −130.488 40.2503i −6.71159 2.07025i
\(379\) −14.0338 + 1.78601i −0.720869 + 0.0917412i −0.478053 0.878331i \(-0.658657\pi\)
−0.242816 + 0.970072i \(0.578071\pi\)
\(380\) 1.79517 103.988i 0.0920900 5.33447i
\(381\) 17.6967 + 11.4779i 0.906627 + 0.588029i
\(382\) −1.74916 33.7474i −0.0894946 1.72667i
\(383\) 6.78342 + 12.3998i 0.346616 + 0.633598i 0.991415 0.130755i \(-0.0417400\pi\)
−0.644798 + 0.764353i \(0.723059\pi\)
\(384\) −13.7423 + 43.6580i −0.701284 + 2.22791i
\(385\) −12.8815 16.5398i −0.656502 0.842947i
\(386\) −4.51630 28.8369i −0.229874 1.46776i
\(387\) 22.4935 36.9681i 1.14341 1.87920i
\(388\) 1.13159 + 10.3096i 0.0574478 + 0.523393i
\(389\) −14.6126 10.7198i −0.740887 0.543514i 0.154936 0.987924i \(-0.450483\pi\)
−0.895823 + 0.444410i \(0.853413\pi\)
\(390\) −93.2077 111.514i −4.71976 5.64674i
\(391\) −0.101575 + 0.242261i −0.00513687 + 0.0122517i
\(392\) 36.0008 32.6410i 1.81831 1.64862i
\(393\) −11.4377 + 24.8384i −0.576954 + 1.25293i
\(394\) −20.5467 + 29.0462i −1.03513 + 1.46333i
\(395\) −51.5048 + 25.5377i −2.59149 + 1.28494i
\(396\) 12.7064 + 42.0505i 0.638518 + 2.11312i
\(397\) −9.50949 + 3.54402i −0.477268 + 0.177869i −0.576339 0.817211i \(-0.695519\pi\)
0.0990711 + 0.995080i \(0.468413\pi\)
\(398\) 16.8837 17.1777i 0.846302 0.861038i
\(399\) −59.9501 + 46.1385i −3.00126 + 2.30981i
\(400\) −34.5680 56.8126i −1.72840 2.84063i
\(401\) −3.29521 + 2.78662i −0.164555 + 0.139157i −0.724239 0.689549i \(-0.757809\pi\)
0.559684 + 0.828706i \(0.310922\pi\)
\(402\) 2.08574 1.31894i 0.104027 0.0657827i
\(403\) 24.4005 + 13.1667i 1.21547 + 0.655879i
\(404\) 33.9035 + 47.9284i 1.68676 + 2.38453i
\(405\) 87.8362 16.3579i 4.36462 0.812831i
\(406\) 3.32666 22.9668i 0.165099 1.13982i
\(407\) −5.57857 0.709956i −0.276519 0.0351912i
\(408\) 4.98461 + 2.26066i 0.246775 + 0.111919i
\(409\) 8.44806 16.7947i 0.417730 0.830444i −0.582120 0.813103i \(-0.697777\pi\)
0.999850 0.0173409i \(-0.00552004\pi\)
\(410\) −45.5633 + 1.04884i −2.25021 + 0.0517985i
\(411\) 3.89987 19.1028i 0.192367 0.942274i
\(412\) 15.3745 + 35.5171i 0.757445 + 1.74980i
\(413\) 11.3775 + 11.3122i 0.559850 + 0.556638i
\(414\) 13.1629 + 10.8740i 0.646922 + 0.534429i
\(415\) 26.2178 14.9364i 1.28698 0.733198i
\(416\) −18.2360 3.83233i −0.894092 0.187896i
\(417\) −34.2024 + 44.9740i −1.67490 + 2.20238i
\(418\) 19.8735 + 6.63476i 0.972047 + 0.324517i
\(419\) −16.7511 1.35229i −0.818345 0.0660636i −0.335798 0.941934i \(-0.609006\pi\)
−0.482547 + 0.875870i \(0.660288\pi\)
\(420\) −73.8299 + 201.642i −3.60253 + 9.83911i
\(421\) 0.379993 5.07066i 0.0185197 0.247129i −0.980259 0.197718i \(-0.936647\pi\)
0.998779 0.0494101i \(-0.0157341\pi\)
\(422\) −57.4263 + 5.96895i −2.79547 + 0.290564i
\(423\) 21.8753 + 8.44048i 1.06361 + 0.410390i
\(424\) −10.1513 + 3.13127i −0.492992 + 0.152068i
\(425\) 2.70986 1.22900i 0.131448 0.0596151i
\(426\) −2.48459 + 61.6544i −0.120379 + 2.98717i
\(427\) −4.23692 3.93129i −0.205039 0.190248i
\(428\) −8.06529 + 1.79209i −0.389851 + 0.0866239i
\(429\) 18.5690 7.66025i 0.896519 0.369840i
\(430\) −48.4062 33.0028i −2.33435 1.59154i
\(431\) −15.5679 9.35006i −0.749878 0.450377i 0.0880784 0.996114i \(-0.471927\pi\)
−0.837956 + 0.545737i \(0.816250\pi\)
\(432\) 58.3060 66.5818i 2.80525 3.20342i
\(433\) 2.30449 + 8.70052i 0.110747 + 0.418120i 0.999162 0.0409196i \(-0.0130287\pi\)
−0.888416 + 0.459040i \(0.848194\pi\)
\(434\) −1.71758 59.6855i −0.0824463 2.86500i
\(435\) 9.94746 + 28.1680i 0.476944 + 1.35055i
\(436\) −38.2870 78.3474i −1.83361 3.75216i
\(437\) 5.39225 1.46149i 0.257946 0.0699125i
\(438\) 47.3451 + 91.4840i 2.26224 + 4.37127i
\(439\) −9.68298 + 11.5848i −0.462143 + 0.552911i −0.946812 0.321787i \(-0.895717\pi\)
0.484669 + 0.874698i \(0.338940\pi\)
\(440\) 31.3206 7.71984i 1.49315 0.368029i
\(441\) 56.4595 18.8489i 2.68855 0.897569i
\(442\) 1.05464 3.09954i 0.0501640 0.147430i
\(443\) −9.45210 1.76028i −0.449083 0.0836336i −0.0462968 0.998928i \(-0.514742\pi\)
−0.402786 + 0.915294i \(0.631958\pi\)
\(444\) 24.0927 + 52.3205i 1.14339 + 2.48302i
\(445\) 62.6098 + 26.6755i 2.96799 + 1.26454i
\(446\) 6.36535 + 8.57302i 0.301408 + 0.405944i
\(447\) 6.26939 + 9.78911i 0.296532 + 0.463009i
\(448\) −2.90742 8.87854i −0.137363 0.419472i
\(449\) 19.2358 18.2646i 0.907792 0.861959i −0.0831102 0.996540i \(-0.526485\pi\)
0.990903 + 0.134581i \(0.0429689\pi\)
\(450\) −25.5185 191.701i −1.20296 9.03688i
\(451\) 1.75247 6.05022i 0.0825205 0.284894i
\(452\) −0.292844 50.8950i −0.0137742 2.39390i
\(453\) −9.32860 + 0.645128i −0.438296 + 0.0303107i
\(454\) 4.14805 6.47682i 0.194678 0.303972i
\(455\) 67.4507 + 17.4508i 3.16214 + 0.818108i
\(456\) −27.2061 113.178i −1.27404 5.30006i
\(457\) −34.4100 + 24.6391i −1.60963 + 1.15257i −0.722138 + 0.691749i \(0.756840\pi\)
−0.887493 + 0.460821i \(0.847555\pi\)
\(458\) 0.435695 + 5.03564i 0.0203587 + 0.235300i
\(459\) 2.64289 + 2.94885i 0.123360 + 0.137641i
\(460\) 10.7194 11.6869i 0.499793 0.544904i
\(461\) 4.39421 40.0345i 0.204659 1.86459i −0.242517 0.970147i \(-0.577973\pi\)
0.447175 0.894446i \(-0.352430\pi\)
\(462\) −34.2815 26.3835i −1.59492 1.22747i
\(463\) −20.0435 + 2.78558i −0.931502 + 0.129457i −0.587237 0.809415i \(-0.699784\pi\)
−0.344266 + 0.938872i \(0.611872\pi\)
\(464\) 12.7120 + 8.03856i 0.590138 + 0.373181i
\(465\) 37.6629 + 67.0030i 1.74657 + 3.10719i
\(466\) 41.6485 + 52.2255i 1.92933 + 2.41930i
\(467\) 9.18284 15.4907i 0.424931 0.716824i −0.569525 0.821974i \(-0.692873\pi\)
0.994456 + 0.105150i \(0.0335322\pi\)
\(468\) −118.698 84.9929i −5.48680 3.92880i
\(469\) −0.444839 + 1.09617i −0.0205408 + 0.0506164i
\(470\) 12.9449 28.9848i 0.597102 1.33697i
\(471\) −4.35657 + 2.22294i −0.200740 + 0.102428i
\(472\) −23.0323 + 8.88693i −1.06015 + 0.409054i
\(473\) 6.35953 5.01197i 0.292412 0.230451i
\(474\) −89.6910 + 77.6356i −4.11964 + 3.56592i
\(475\) −56.0331 29.4085i −2.57098 1.34935i
\(476\) −4.74505 + 0.940302i −0.217489 + 0.0430987i
\(477\) −12.9261 1.49409i −0.591844 0.0684097i
\(478\) −13.3475 + 27.3133i −0.610502 + 1.24928i
\(479\) 3.83100 19.9332i 0.175043 0.910772i −0.782537 0.622604i \(-0.786075\pi\)
0.957580 0.288168i \(-0.0930461\pi\)
\(480\) −37.0495 35.9986i −1.69107 1.64311i
\(481\) 16.1312 9.43753i 0.735520 0.430314i
\(482\) −36.8876 + 49.6812i −1.68018 + 2.26291i
\(483\) −11.5074 0.795807i −0.523606 0.0362105i
\(484\) 2.52097 39.7775i 0.114590 1.80807i
\(485\) 8.74149 + 3.25780i 0.396930 + 0.147929i
\(486\) 71.5777 33.4608i 3.24683 1.51781i
\(487\) 12.8006 + 11.6059i 0.580048 + 0.525915i 0.908105 0.418743i \(-0.137529\pi\)
−0.328056 + 0.944658i \(0.606394\pi\)
\(488\) 8.18186 3.48596i 0.370375 0.157802i
\(489\) −23.9675 14.0221i −1.08385 0.634103i
\(490\) −21.5280 77.6565i −0.972537 3.50816i
\(491\) −1.33940 3.65813i −0.0604464 0.165089i 0.905177 0.425035i \(-0.139738\pi\)
−0.965623 + 0.259946i \(0.916295\pi\)
\(492\) −62.0736 + 17.5934i −2.79850 + 0.793170i
\(493\) −0.425604 + 0.521271i −0.0191683 + 0.0234769i
\(494\) −65.7888 + 22.8083i −2.95998 + 1.02619i
\(495\) 38.9246 + 6.78651i 1.74953 + 0.305031i
\(496\) 35.7743 + 14.7579i 1.60631 + 0.662651i
\(497\) −16.2385 24.7239i −0.728396 1.10902i
\(498\) 44.6549 43.3883i 2.00103 1.94428i
\(499\) −2.72805 + 9.84070i −0.122124 + 0.440530i −0.999207 0.0398088i \(-0.987325\pi\)
0.877083 + 0.480339i \(0.159486\pi\)
\(500\) −93.4144 + 7.54119i −4.17762 + 0.337252i
\(501\) −5.32906 1.31349i −0.238085 0.0586826i
\(502\) 22.0874 16.2033i 0.985807 0.723187i
\(503\) 24.1434 + 26.3225i 1.07650 + 1.17366i 0.984040 + 0.177947i \(0.0569456\pi\)
0.0924603 + 0.995716i \(0.470527\pi\)
\(504\) −16.6538 + 169.714i −0.741818 + 7.55968i
\(505\) 52.2154 7.87021i 2.32356 0.350220i
\(506\) 1.59736 + 2.76671i 0.0710113 + 0.122995i
\(507\) −12.4879 + 21.6296i −0.554606 + 0.960606i
\(508\) 10.4798 26.7020i 0.464964 1.18471i
\(509\) 22.8985 12.0181i 1.01496 0.532691i 0.126654 0.991947i \(-0.459576\pi\)
0.888304 + 0.459256i \(0.151884\pi\)
\(510\) 7.06349 5.69974i 0.312776 0.252389i
\(511\) −43.9851 22.4434i −1.94579 0.992839i
\(512\) 49.8471 + 5.18115i 2.20295 + 0.228977i
\(513\) 14.9420 82.8798i 0.659704 3.65923i
\(514\) −60.7338 + 36.4767i −2.67885 + 1.60892i
\(515\) 34.7532 + 2.00185i 1.53141 + 0.0882122i
\(516\) −78.0440 28.0671i −3.43569 1.23559i
\(517\) 3.28395 + 2.90933i 0.144428 + 0.127952i
\(518\) −34.9712 19.9232i −1.53655 0.875376i
\(519\) −21.5444 56.8078i −0.945692 2.49358i
\(520\) −66.8411 + 83.8161i −2.93118 + 3.67558i
\(521\) 38.5497 + 6.26493i 1.68889 + 0.274472i 0.927501 0.373821i \(-0.121953\pi\)
0.761391 + 0.648293i \(0.224517\pi\)
\(522\) 24.4301 + 36.2791i 1.06928 + 1.58789i
\(523\) 4.01892 15.1733i 0.175735 0.663481i −0.820093 0.572230i \(-0.806078\pi\)
0.995828 0.0912508i \(-0.0290865\pi\)
\(524\) 36.2070 + 8.48349i 1.58171 + 0.370603i
\(525\) 89.4182 + 95.2647i 3.90253 + 4.15769i
\(526\) −30.6270 + 4.97736i −1.33540 + 0.217023i
\(527\) −0.848437 + 1.50939i −0.0369585 + 0.0657499i
\(528\) 24.6734 13.3139i 1.07377 0.579415i
\(529\) −19.8429 9.83870i −0.862733 0.427770i
\(530\) −2.92590 + 17.3719i −0.127093 + 0.754587i
\(531\) −30.2067 1.39142i −1.31086 0.0603824i
\(532\) 77.7845 + 67.3294i 3.37238 + 2.91910i
\(533\) 7.64788 + 19.4865i 0.331267 + 0.844053i
\(534\) 138.861 + 20.9299i 6.00910 + 0.905726i
\(535\) −1.81992 + 7.20505i −0.0786822 + 0.311501i
\(536\) −1.26096 1.31280i −0.0544651 0.0567041i
\(537\) 26.9977 49.3505i 1.16504 2.12963i
\(538\) 16.9377 + 8.15679i 0.730238 + 0.351664i
\(539\) 11.1310 + 0.384427i 0.479444 + 0.0165584i
\(540\) −89.8900 221.506i −3.86825 9.53212i
\(541\) 7.91043 32.9076i 0.340096 1.41481i −0.496999 0.867751i \(-0.665565\pi\)
0.837095 0.547057i \(-0.184252\pi\)
\(542\) −0.111787 + 0.210047i −0.00480168 + 0.00902229i
\(543\) 46.3909 + 1.06789i 1.99082 + 0.0458275i
\(544\) 0.258950 1.13453i 0.0111024 0.0486427i
\(545\) −78.4297 0.902583i −3.35956 0.0386624i
\(546\) 143.764 6.15252
\(547\) −6.43999 + 22.4839i −0.275354 + 0.961343i
\(548\) −26.5143 −1.13263
\(549\) 10.8927 + 0.125355i 0.464888 + 0.00535001i
\(550\) 8.05227 35.2793i 0.343350 1.50431i
\(551\) 14.3081 + 0.329363i 0.609545 + 0.0140313i
\(552\) 8.33864 15.6682i 0.354916 0.666883i
\(553\) 13.2910 55.2908i 0.565189 2.35120i
\(554\) 7.33458 + 18.0738i 0.311617 + 0.767884i
\(555\) 51.7792 + 1.78828i 2.19790 + 0.0759084i
\(556\) 69.2289 + 33.3389i 2.93596 + 1.41388i
\(557\) 11.3670 20.7784i 0.481637 0.880410i −0.518049 0.855351i \(-0.673341\pi\)
0.999686 0.0250588i \(-0.00797729\pi\)
\(558\) 77.9574 + 81.1622i 3.30020 + 3.43587i
\(559\) −6.59012 + 26.0902i −0.278733 + 1.10350i
\(560\) 96.1578 + 14.4935i 4.06341 + 0.612460i
\(561\) 0.458295 + 1.16772i 0.0193492 + 0.0493010i
\(562\) 8.90379 + 7.70703i 0.375584 + 0.325101i
\(563\) 19.1616 + 0.882646i 0.807566 + 0.0371991i 0.445871 0.895097i \(-0.352894\pi\)
0.361695 + 0.932296i \(0.382198\pi\)
\(564\) 7.46374 44.3144i 0.314280 1.86597i
\(565\) −41.0140 20.3360i −1.72547 0.855542i
\(566\) −44.4873 + 24.0057i −1.86994 + 1.00903i
\(567\) −43.3057 + 77.0417i −1.81867 + 3.23545i
\(568\) 44.9253 7.30108i 1.88502 0.306346i
\(569\) −6.12225 6.52254i −0.256658 0.273439i 0.587864 0.808960i \(-0.299969\pi\)
−0.844522 + 0.535520i \(0.820115\pi\)
\(570\) −187.940 44.0352i −7.87192 1.84443i
\(571\) −6.77008 + 25.5602i −0.283319 + 1.06966i 0.663574 + 0.748111i \(0.269039\pi\)
−0.946893 + 0.321550i \(0.895796\pi\)
\(572\) −15.2580 22.6584i −0.637968 0.947394i
\(573\) −42.4718 6.90233i −1.77428 0.288349i
\(574\) 28.1080 35.2463i 1.17321 1.47115i
\(575\) −3.42164 9.02212i −0.142692 0.376248i
\(576\) 15.2994 + 8.71610i 0.637473 + 0.363171i
\(577\) 27.4814 + 24.3464i 1.14407 + 1.01355i 0.999711 + 0.0240288i \(0.00764935\pi\)
0.144356 + 0.989526i \(0.453889\pi\)
\(578\) −40.1841 14.4515i −1.67144 0.601103i
\(579\) −37.1047 2.13730i −1.54202 0.0888233i
\(580\) 34.8263 20.9167i 1.44608 0.868518i
\(581\) −5.29562 + 29.3736i −0.219699 + 1.21862i
\(582\) 19.1464 + 1.99009i 0.793644 + 0.0824920i
\(583\) −2.16875 1.10661i −0.0898207 0.0458310i
\(584\) 59.1316 47.7150i 2.44688 1.97446i
\(585\) −116.271 + 61.0236i −4.80721 + 2.52302i
\(586\) 20.4693 52.1550i 0.845580 2.15450i
\(587\) −6.90837 + 11.9657i −0.285139 + 0.493875i −0.972643 0.232305i \(-0.925373\pi\)
0.687504 + 0.726181i \(0.258706\pi\)
\(588\) −57.0402 98.7966i −2.35230 4.07430i
\(589\) 36.4131 5.48839i 1.50038 0.226145i
\(590\) −3.99807 + 40.7433i −0.164598 + 1.67737i
\(591\) 30.6224 + 33.3864i 1.25964 + 1.37333i
\(592\) 21.0326 15.4295i 0.864436 0.634149i
\(593\) −46.8000 11.5352i −1.92185 0.473693i −0.995214 0.0977243i \(-0.968844\pi\)
−0.926633 0.375968i \(-0.877310\pi\)
\(594\) 48.0014 3.87507i 1.96952 0.158996i
\(595\) −1.16235 + 4.19285i −0.0476516 + 0.171890i
\(596\) 11.3380 11.0164i 0.464423 0.451251i
\(597\) −16.8366 25.6344i −0.689074 1.04915i
\(598\) −9.81484 4.04891i −0.401359 0.165572i
\(599\) −11.6540 2.03187i −0.476169 0.0830200i −0.0714167 0.997447i \(-0.522752\pi\)
−0.404752 + 0.914427i \(0.632642\pi\)
\(600\) −189.951 + 65.8539i −7.75471 + 2.68847i
\(601\) 5.75686 7.05087i 0.234827 0.287611i −0.643726 0.765256i \(-0.722612\pi\)
0.878553 + 0.477645i \(0.158510\pi\)
\(602\) 55.7555 15.8026i 2.27242 0.644067i
\(603\) −0.766590 2.09368i −0.0312179 0.0852614i
\(604\) 3.39716 + 12.2543i 0.138229 + 0.498622i
\(605\) −30.9435 18.1034i −1.25803 0.736008i
\(606\) 100.242 42.7090i 4.07204 1.73493i
\(607\) 9.86752 + 8.94663i 0.400510 + 0.363132i 0.846942 0.531685i \(-0.178441\pi\)
−0.446432 + 0.894818i \(0.647305\pi\)
\(608\) −22.4202 + 10.4809i −0.909259 + 0.425057i
\(609\) −27.6889 10.3192i −1.12201 0.418155i
\(610\) 0.932816 14.7186i 0.0377686 0.595938i
\(611\) −14.5459 1.00593i −0.588463 0.0406957i
\(612\) 5.43495 7.31993i 0.219695 0.295891i
\(613\) 11.1509 6.52381i 0.450381 0.263494i −0.262295 0.964988i \(-0.584479\pi\)
0.712676 + 0.701494i \(0.247483\pi\)
\(614\) 22.1242 + 21.4967i 0.892859 + 0.867535i
\(615\) −10.9528 + 56.9891i −0.441661 + 2.29802i
\(616\) −14.0098 + 28.6685i −0.564471 + 1.15509i
\(617\) 7.07005 + 0.817209i 0.284630 + 0.0328996i 0.255953 0.966689i \(-0.417611\pi\)
0.0286764 + 0.999589i \(0.490871\pi\)
\(618\) 70.4603 13.9627i 2.83433 0.561664i
\(619\) −0.707845 0.371505i −0.0284507 0.0149321i 0.450438 0.892808i \(-0.351268\pi\)
−0.478889 + 0.877876i \(0.658960\pi\)
\(620\) 79.0326 68.4098i 3.17402 2.74740i
\(621\) 10.0856 7.94846i 0.404720 0.318961i
\(622\) 49.8695 19.2419i 1.99959 0.771532i
\(623\) −59.9637 + 30.5965i −2.40239 + 1.22582i
\(624\) −37.9955 + 85.0757i −1.52104 + 3.40575i
\(625\) −12.0418 + 29.6733i −0.481672 + 1.18693i
\(626\) −16.3041 11.6745i −0.651643 0.466606i
\(627\) 13.6042 22.9491i 0.543298 0.916500i
\(628\) 4.14702 + 5.20020i 0.165484 + 0.207510i
\(629\) 0.571896 + 1.01741i 0.0228030 + 0.0405670i
\(630\) 239.010 + 151.141i 9.52239 + 6.02159i
\(631\) −42.9786 + 5.97302i −1.71095 + 0.237782i −0.924855 0.380320i \(-0.875814\pi\)
−0.786097 + 0.618103i \(0.787902\pi\)
\(632\) 69.3419 + 53.3666i 2.75827 + 2.12281i
\(633\) −8.02099 + 73.0773i −0.318806 + 2.90456i
\(634\) 0.584036 0.636750i 0.0231950 0.0252886i
\(635\) −17.2200 19.2135i −0.683356 0.762465i
\(636\) 2.14974 + 24.8461i 0.0852428 + 0.985210i
\(637\) −30.0946 + 21.5491i −1.19239 + 0.853807i
\(638\) 1.91281 + 7.95733i 0.0757288 + 0.315034i
\(639\) 53.9725 + 13.9638i 2.13512 + 0.552398i
\(640\) 30.1942 47.1455i 1.19353 1.86359i
\(641\) −14.8698 + 1.02834i −0.587323 + 0.0406168i −0.359596 0.933108i \(-0.617085\pi\)
−0.227727 + 0.973725i \(0.573129\pi\)
\(642\) 0.0882299 + 15.3339i 0.00348216 + 0.605183i
\(643\) −3.39498 + 11.7208i −0.133885 + 0.462224i −0.999242 0.0389316i \(-0.987605\pi\)
0.865357 + 0.501156i \(0.167092\pi\)
\(644\) 2.06989 + 15.5495i 0.0815649 + 0.612735i
\(645\) −54.0975 + 51.3662i −2.13009 + 2.02254i
\(646\) −1.35325 4.13247i −0.0532427 0.162590i
\(647\) 9.90440 + 15.4648i 0.389382 + 0.607986i 0.980008 0.198960i \(-0.0637564\pi\)
−0.590626 + 0.806946i \(0.701119\pi\)
\(648\) −81.0679 109.184i −3.18465 4.28916i
\(649\) −5.20536 2.21780i −0.204328 0.0870561i
\(650\) 50.3013 + 109.236i 1.97298 + 4.28458i
\(651\) −74.7452 13.9199i −2.92950 0.545566i
\(652\) −12.1640 + 35.7496i −0.476380 + 1.40006i
\(653\) −34.5322 + 11.5286i −1.35135 + 0.451147i −0.897926 0.440147i \(-0.854926\pi\)
−0.453425 + 0.891294i \(0.649798\pi\)
\(654\) −157.144 + 38.7324i −6.14480 + 1.51456i
\(655\) 21.4513 25.6645i 0.838172 1.00279i
\(656\) 13.4292 + 25.9489i 0.524321 + 1.01313i
\(657\) 89.8271 24.3463i 3.50449 0.949840i
\(658\) 13.7866 + 28.2118i 0.537459 + 1.09981i
\(659\) 6.87931 + 19.4800i 0.267980 + 0.758833i 0.997216 + 0.0745704i \(0.0237585\pi\)
−0.729236 + 0.684263i \(0.760124\pi\)
\(660\) −2.17832 75.6964i −0.0847912 2.94648i
\(661\) −2.58664 9.76576i −0.100609 0.379844i 0.897521 0.440971i \(-0.145366\pi\)
−0.998130 + 0.0611269i \(0.980531\pi\)
\(662\) −1.63902 + 1.87166i −0.0637022 + 0.0727440i
\(663\) −3.57387 2.14646i −0.138798 0.0833618i
\(664\) −37.9461 25.8712i −1.47259 1.00400i
\(665\) 85.5410 35.2882i 3.31714 1.36842i
\(666\) 74.0508 16.4539i 2.86941 0.637577i
\(667\) 1.59971 + 1.48432i 0.0619412 + 0.0574730i
\(668\) −0.300545 + 7.45796i −0.0116285 + 0.288557i
\(669\) 12.3823 5.61570i 0.478726 0.217116i
\(670\) −2.88447 + 0.889741i −0.111437 + 0.0343737i
\(671\) 1.90167 + 0.733751i 0.0734131 + 0.0283262i
\(672\) 50.8249 5.28278i 1.96061 0.203788i
\(673\) 2.26083 30.1687i 0.0871487 1.16292i −0.766562 0.642171i \(-0.778034\pi\)
0.853710 0.520748i \(-0.174347\pi\)
\(674\) −29.5549 + 80.7193i −1.13841 + 3.10919i
\(675\) −144.981 11.7040i −5.58031 0.450489i
\(676\) 32.2172 + 10.7557i 1.23912 + 0.413680i
\(677\) −2.05803 + 2.70617i −0.0790964 + 0.104007i −0.833821 0.552036i \(-0.813851\pi\)
0.754724 + 0.656042i \(0.227771\pi\)
\(678\) −92.4430 19.4271i −3.55025 0.746093i
\(679\) −8.01791 + 4.56783i −0.307699 + 0.175297i
\(680\) −5.16147 4.26394i −0.197934 0.163515i
\(681\) −6.94491 6.90506i −0.266129 0.264603i
\(682\) 8.36514 + 19.3246i 0.320318 + 0.739977i
\(683\) 8.79364 43.0741i 0.336479 1.64819i −0.361723 0.932285i \(-0.617812\pi\)
0.698203 0.715900i \(-0.253983\pi\)
\(684\) −193.843 + 4.46216i −7.41179 + 0.170615i
\(685\) −10.7168 + 21.3050i −0.409470 + 0.814023i
\(686\) 10.0249 + 4.54655i 0.382751 + 0.173588i
\(687\) 6.38444 + 0.812515i 0.243582 + 0.0309994i
\(688\) −5.38410 + 37.1711i −0.205267 + 1.41714i
\(689\) 7.95482 1.48144i 0.303055 0.0564384i
\(690\) −16.9975 24.0289i −0.647084 0.914765i
\(691\) −37.7894 20.3915i −1.43758 0.775728i −0.444793 0.895633i \(-0.646723\pi\)
−0.992785 + 0.119905i \(0.961741\pi\)
\(692\) −69.8326 + 44.1595i −2.65464 + 1.67869i
\(693\) −29.8434 + 25.2373i −1.13366 + 0.958685i
\(694\) 30.2539 + 49.7224i 1.14842 + 1.88744i
\(695\) 54.7705 42.1522i 2.07756 1.59892i
\(696\) 31.8721 32.4270i 1.20811 1.22914i
\(697\) −1.22499 + 0.456533i −0.0463998 + 0.0172924i
\(698\) 19.2896 + 63.8372i 0.730123 + 2.41627i
\(699\) 76.2036 37.7841i 2.88228 1.42913i
\(700\) 102.611 145.059i 3.87834 5.48270i
\(701\) −3.95539 + 8.58966i −0.149393 + 0.324427i −0.968418 0.249330i \(-0.919789\pi\)
0.819025 + 0.573757i \(0.194515\pi\)
\(702\) −118.566 + 107.501i −4.47498 + 4.05735i
\(703\) 9.59777 22.8912i 0.361987 0.863356i
\(704\) 2.11296 + 2.52796i 0.0796351 + 0.0952759i
\(705\) −32.5911 23.9088i −1.22745 0.900458i
\(706\) −3.23672 29.4890i −0.121816 1.10983i
\(707\) −27.1507 + 44.6223i −1.02111 + 1.67820i
\(708\) 8.96737 + 57.2572i 0.337014 + 2.15186i
\(709\) −2.76366 3.54854i −0.103792 0.133268i 0.734240 0.678890i \(-0.237539\pi\)
−0.838031 + 0.545622i \(0.816293\pi\)
\(710\) 22.6618 71.9945i 0.850484 2.70191i
\(711\) 51.4379 + 94.0261i 1.92907 + 3.52625i
\(712\) −5.36165 103.445i −0.200936 3.87677i
\(713\) 4.71087 + 3.05542i 0.176423 + 0.114426i
\(714\) −0.154967 + 8.97670i −0.00579948 + 0.335944i
\(715\) −24.3738 + 3.10193i −0.911529 + 0.116006i
\(716\) −73.1006 22.5485i −2.73190 0.842679i
\(717\) 30.4025 + 23.9603i 1.13540 + 0.894814i
\(718\) 17.8001 0.819928i 0.664292 0.0305994i
\(719\) 2.70072 22.2424i 0.100720 0.829503i −0.851556 0.524264i \(-0.824341\pi\)
0.952276 0.305239i \(-0.0987364\pi\)
\(720\) −152.609 + 101.495i −5.68742 + 3.78249i
\(721\) −23.5658 + 25.1066i −0.877636 + 0.935018i
\(722\) −24.8685 + 36.9301i −0.925510 + 1.37440i
\(723\) 51.9078 + 59.2755i 1.93047 + 2.20448i
\(724\) −11.1963 62.1036i −0.416109 2.30806i
\(725\) −1.84722 24.6494i −0.0686039 0.915456i
\(726\) −71.1715 20.1719i −2.64142 0.748651i
\(727\) −10.9130 + 7.62576i −0.404740 + 0.282824i −0.757430 0.652916i \(-0.773545\pi\)
0.352690 + 0.935740i \(0.385267\pi\)
\(728\) −21.2115 103.901i −0.786149 3.85081i
\(729\) −7.21551 31.6132i −0.267241 1.17086i
\(730\) −26.6224 123.156i −0.985338 4.55821i
\(731\) −1.62198 0.439614i −0.0599912 0.0162597i
\(732\) −3.94049 20.5029i −0.145645 0.757809i
\(733\) −6.69301 + 10.1904i −0.247212 + 0.376391i −0.937982 0.346683i \(-0.887308\pi\)
0.690771 + 0.723074i \(0.257271\pi\)
\(734\) −6.25629 + 4.26547i −0.230924 + 0.157441i
\(735\) −102.441 + 5.90081i −3.77860 + 0.217655i
\(736\) −3.61863 1.07075i −0.133384 0.0394685i
\(737\) 0.00240045 0.417187i 8.84218e−5 0.0153673i
\(738\) 5.37414 + 84.7966i 0.197825 + 3.12140i
\(739\) 1.53176 5.06920i 0.0563465 0.186474i −0.924528 0.381114i \(-0.875541\pi\)
0.980875 + 0.194640i \(0.0623539\pi\)
\(740\) −11.7022 69.4792i −0.430181 2.55411i
\(741\) 10.6870 + 88.0153i 0.392597 + 3.23332i
\(742\) −11.3286 13.2409i −0.415885 0.486088i
\(743\) 7.69221 7.13733i 0.282200 0.261843i −0.526354 0.850266i \(-0.676441\pi\)
0.808554 + 0.588422i \(0.200251\pi\)
\(744\) 66.4574 96.2801i 2.43645 3.52980i
\(745\) −4.26931 13.5632i −0.156415 0.496917i
\(746\) 60.3258 62.8058i 2.20869 2.29949i
\(747\) −29.7916 47.7172i −1.09002 1.74588i
\(748\) 1.43125 0.928293i 0.0523316 0.0339418i
\(749\) −4.31388 5.95194i −0.157626 0.217479i