Properties

Label 192.2.r.a.61.4
Level $192$
Weight $2$
Character 192.61
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 61.4
Character \(\chi\) \(=\) 192.61
Dual form 192.2.r.a.85.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.796251 - 1.16875i) q^{2} +(0.195090 - 0.980785i) q^{3} +(-0.731968 + 1.86124i) q^{4} +(2.41595 + 1.61429i) q^{5} +(-1.30164 + 0.552939i) q^{6} +(1.09455 - 0.453379i) q^{7} +(2.75816 - 0.626527i) q^{8} +(-0.923880 - 0.382683i) q^{9} +O(q^{10})\) \(q+(-0.796251 - 1.16875i) q^{2} +(0.195090 - 0.980785i) q^{3} +(-0.731968 + 1.86124i) q^{4} +(2.41595 + 1.61429i) q^{5} +(-1.30164 + 0.552939i) q^{6} +(1.09455 - 0.453379i) q^{7} +(2.75816 - 0.626527i) q^{8} +(-0.923880 - 0.382683i) q^{9} +(-0.0370012 - 4.10903i) q^{10} +(5.11927 - 1.01829i) q^{11} +(1.68268 + 1.08101i) q^{12} +(-3.73023 + 2.49246i) q^{13} +(-1.40143 - 0.918260i) q^{14} +(2.05460 - 2.05460i) q^{15} +(-2.92845 - 2.72474i) q^{16} +(-0.516827 - 0.516827i) q^{17} +(0.288378 + 1.38450i) q^{18} +(-2.92098 - 4.37155i) q^{19} +(-4.77298 + 3.31506i) q^{20} +(-0.231131 - 1.16197i) q^{21} +(-5.26635 - 5.17235i) q^{22} +(1.18470 - 2.86013i) q^{23} +(-0.0763975 - 2.82740i) q^{24} +(1.31748 + 3.18067i) q^{25} +(5.88328 + 2.37510i) q^{26} +(-0.555570 + 0.831470i) q^{27} +(0.0426702 + 2.36909i) q^{28} +(0.523666 + 0.104164i) q^{29} +(-4.03729 - 0.765341i) q^{30} +9.33809i q^{31} +(-0.852768 + 5.59221i) q^{32} -5.21956i q^{33} +(-0.192519 + 1.01557i) q^{34} +(3.37627 + 0.671583i) q^{35} +(1.38852 - 1.43945i) q^{36} +(3.58808 - 5.36994i) q^{37} +(-2.78343 + 6.89475i) q^{38} +(1.71684 + 4.14481i) q^{39} +(7.67498 + 2.93881i) q^{40} +(-3.54350 + 8.55477i) q^{41} +(-1.17402 + 1.19536i) q^{42} +(-0.828267 - 4.16398i) q^{43} +(-1.85186 + 10.2736i) q^{44} +(-1.61429 - 2.41595i) q^{45} +(-4.28611 + 0.892755i) q^{46} +(-1.07095 - 1.07095i) q^{47} +(-3.24370 + 2.34061i) q^{48} +(-3.95725 + 3.95725i) q^{49} +(2.66838 - 4.07242i) q^{50} +(-0.607724 + 0.406068i) q^{51} +(-1.90867 - 8.76727i) q^{52} +(3.79893 - 0.755654i) q^{53} +(1.41416 - 0.0127343i) q^{54} +(14.0117 + 5.80384i) q^{55} +(2.73491 - 1.93626i) q^{56} +(-4.85740 + 2.01200i) q^{57} +(-0.295228 - 0.694976i) q^{58} +(-10.0034 - 6.68404i) q^{59} +(2.32020 + 5.32800i) q^{60} +(-2.46666 + 12.4007i) q^{61} +(10.9139 - 7.43547i) q^{62} -1.18474 q^{63} +(7.21493 - 3.45613i) q^{64} -13.0356 q^{65} +(-6.10038 + 4.15608i) q^{66} +(-0.394189 + 1.98172i) q^{67} +(1.34024 - 0.583640i) q^{68} +(-2.57405 - 1.71992i) q^{69} +(-1.90345 - 4.48078i) q^{70} +(-0.0704826 + 0.0291948i) q^{71} +(-2.78797 - 0.476668i) q^{72} +(-10.6599 - 4.41547i) q^{73} +(-9.13314 + 0.0822428i) q^{74} +(3.37659 - 0.671645i) q^{75} +(10.2746 - 2.23681i) q^{76} +(5.14165 - 3.43554i) q^{77} +(3.47723 - 5.30687i) q^{78} +(-3.83034 + 3.83034i) q^{79} +(-2.67647 - 11.3102i) q^{80} +(0.707107 + 0.707107i) q^{81} +(12.8199 - 2.67027i) q^{82} +(-8.97007 - 13.4247i) q^{83} +(2.33189 + 0.420336i) q^{84} +(-0.414322 - 2.08294i) q^{85} +(-4.20716 + 4.28361i) q^{86} +(0.204324 - 0.493282i) q^{87} +(13.4818 - 6.01596i) q^{88} +(5.65060 + 13.6417i) q^{89} +(-1.53827 + 3.81041i) q^{90} +(-2.95291 + 4.41935i) q^{91} +(4.45623 + 4.29854i) q^{92} +(9.15866 + 1.82177i) q^{93} +(-0.398931 + 2.10442i) q^{94} -15.2767i q^{95} +(5.31839 + 1.92737i) q^{96} -3.93894i q^{97} +(7.77601 + 1.47408i) q^{98} +(-5.11927 - 1.01829i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.796251 1.16875i −0.563035 0.826433i
\(3\) 0.195090 0.980785i 0.112635 0.566257i
\(4\) −0.731968 + 1.86124i −0.365984 + 0.930621i
\(5\) 2.41595 + 1.61429i 1.08045 + 0.721931i 0.962552 0.271095i \(-0.0873859\pi\)
0.117893 + 0.993026i \(0.462386\pi\)
\(6\) −1.30164 + 0.552939i −0.531391 + 0.225736i
\(7\) 1.09455 0.453379i 0.413703 0.171361i −0.166117 0.986106i \(-0.553123\pi\)
0.579820 + 0.814745i \(0.303123\pi\)
\(8\) 2.75816 0.626527i 0.975158 0.221511i
\(9\) −0.923880 0.382683i −0.307960 0.127561i
\(10\) −0.0370012 4.10903i −0.0117008 1.29939i
\(11\) 5.11927 1.01829i 1.54352 0.307025i 0.651367 0.758763i \(-0.274196\pi\)
0.892151 + 0.451738i \(0.149196\pi\)
\(12\) 1.68268 + 1.08101i 0.485748 + 0.312062i
\(13\) −3.73023 + 2.49246i −1.03458 + 0.691285i −0.952250 0.305320i \(-0.901236\pi\)
−0.0823310 + 0.996605i \(0.526236\pi\)
\(14\) −1.40143 0.918260i −0.374548 0.245415i
\(15\) 2.05460 2.05460i 0.530495 0.530495i
\(16\) −2.92845 2.72474i −0.732112 0.681185i
\(17\) −0.516827 0.516827i −0.125349 0.125349i 0.641649 0.766998i \(-0.278250\pi\)
−0.766998 + 0.641649i \(0.778250\pi\)
\(18\) 0.288378 + 1.38450i 0.0679713 + 0.326330i
\(19\) −2.92098 4.37155i −0.670118 1.00290i −0.998300 0.0582875i \(-0.981436\pi\)
0.328182 0.944614i \(-0.393564\pi\)
\(20\) −4.77298 + 3.31506i −1.06727 + 0.741271i
\(21\) −0.231131 1.16197i −0.0504369 0.253563i
\(22\) −5.26635 5.17235i −1.12279 1.10275i
\(23\) 1.18470 2.86013i 0.247028 0.596378i −0.750921 0.660392i \(-0.770390\pi\)
0.997949 + 0.0640137i \(0.0203901\pi\)
\(24\) −0.0763975 2.82740i −0.0155946 0.577140i
\(25\) 1.31748 + 3.18067i 0.263496 + 0.636135i
\(26\) 5.88328 + 2.37510i 1.15381 + 0.465795i
\(27\) −0.555570 + 0.831470i −0.106920 + 0.160016i
\(28\) 0.0426702 + 2.36909i 0.00806390 + 0.447716i
\(29\) 0.523666 + 0.104164i 0.0972423 + 0.0193427i 0.243472 0.969908i \(-0.421714\pi\)
−0.146229 + 0.989251i \(0.546714\pi\)
\(30\) −4.03729 0.765341i −0.737105 0.139732i
\(31\) 9.33809i 1.67717i 0.544770 + 0.838585i \(0.316617\pi\)
−0.544770 + 0.838585i \(0.683383\pi\)
\(32\) −0.852768 + 5.59221i −0.150750 + 0.988572i
\(33\) 5.21956i 0.908609i
\(34\) −0.192519 + 1.01557i −0.0330167 + 0.174168i
\(35\) 3.37627 + 0.671583i 0.570694 + 0.113518i
\(36\) 1.38852 1.43945i 0.231419 0.239909i
\(37\) 3.58808 5.36994i 0.589876 0.882812i −0.409691 0.912224i \(-0.634363\pi\)
0.999567 + 0.0294119i \(0.00936346\pi\)
\(38\) −2.78343 + 6.89475i −0.451532 + 1.11848i
\(39\) 1.71684 + 4.14481i 0.274914 + 0.663701i
\(40\) 7.67498 + 2.93881i 1.21352 + 0.464666i
\(41\) −3.54350 + 8.55477i −0.553402 + 1.33603i 0.361507 + 0.932369i \(0.382262\pi\)
−0.914909 + 0.403661i \(0.867738\pi\)
\(42\) −1.17402 + 1.19536i −0.181155 + 0.184448i
\(43\) −0.828267 4.16398i −0.126310 0.635001i −0.991127 0.132915i \(-0.957566\pi\)
0.864818 0.502086i \(-0.167434\pi\)
\(44\) −1.85186 + 10.2736i −0.279179 + 1.54880i
\(45\) −1.61429 2.41595i −0.240644 0.360149i
\(46\) −4.28611 + 0.892755i −0.631952 + 0.131630i
\(47\) −1.07095 1.07095i −0.156214 0.156214i 0.624673 0.780887i \(-0.285232\pi\)
−0.780887 + 0.624673i \(0.785232\pi\)
\(48\) −3.24370 + 2.34061i −0.468187 + 0.337837i
\(49\) −3.95725 + 3.95725i −0.565321 + 0.565321i
\(50\) 2.66838 4.07242i 0.377366 0.575927i
\(51\) −0.607724 + 0.406068i −0.0850984 + 0.0568609i
\(52\) −1.90867 8.76727i −0.264684 1.21580i
\(53\) 3.79893 0.755654i 0.521823 0.103797i 0.0728510 0.997343i \(-0.476790\pi\)
0.448972 + 0.893546i \(0.351790\pi\)
\(54\) 1.41416 0.0127343i 0.192442 0.00173292i
\(55\) 14.0117 + 5.80384i 1.88934 + 0.782589i
\(56\) 2.73491 1.93626i 0.365467 0.258744i
\(57\) −4.85740 + 2.01200i −0.643379 + 0.266496i
\(58\) −0.295228 0.694976i −0.0387653 0.0912549i
\(59\) −10.0034 6.68404i −1.30233 0.870187i −0.305690 0.952131i \(-0.598887\pi\)
−0.996637 + 0.0819436i \(0.973887\pi\)
\(60\) 2.32020 + 5.32800i 0.299537 + 0.687842i
\(61\) −2.46666 + 12.4007i −0.315823 + 1.58775i 0.418024 + 0.908436i \(0.362723\pi\)
−0.733847 + 0.679314i \(0.762277\pi\)
\(62\) 10.9139 7.43547i 1.38607 0.944305i
\(63\) −1.18474 −0.149263
\(64\) 7.21493 3.45613i 0.901866 0.432016i
\(65\) −13.0356 −1.61687
\(66\) −6.10038 + 4.15608i −0.750905 + 0.511578i
\(67\) −0.394189 + 1.98172i −0.0481578 + 0.242106i −0.997365 0.0725458i \(-0.976888\pi\)
0.949207 + 0.314652i \(0.101888\pi\)
\(68\) 1.34024 0.583640i 0.162528 0.0707767i
\(69\) −2.57405 1.71992i −0.309879 0.207055i
\(70\) −1.90345 4.48078i −0.227506 0.535556i
\(71\) −0.0704826 + 0.0291948i −0.00836474 + 0.00346479i −0.386862 0.922138i \(-0.626441\pi\)
0.378497 + 0.925602i \(0.376441\pi\)
\(72\) −2.78797 0.476668i −0.328566 0.0561759i
\(73\) −10.6599 4.41547i −1.24765 0.516792i −0.341550 0.939864i \(-0.610952\pi\)
−0.906096 + 0.423072i \(0.860952\pi\)
\(74\) −9.13314 + 0.0822428i −1.06171 + 0.00956053i
\(75\) 3.37659 0.671645i 0.389894 0.0775548i
\(76\) 10.2746 2.23681i 1.17857 0.256580i
\(77\) 5.14165 3.43554i 0.585945 0.391516i
\(78\) 3.47723 5.30687i 0.393719 0.600885i
\(79\) −3.83034 + 3.83034i −0.430947 + 0.430947i −0.888950 0.458004i \(-0.848565\pi\)
0.458004 + 0.888950i \(0.348565\pi\)
\(80\) −2.67647 11.3102i −0.299239 1.26452i
\(81\) 0.707107 + 0.707107i 0.0785674 + 0.0785674i
\(82\) 12.8199 2.67027i 1.41572 0.294882i
\(83\) −8.97007 13.4247i −0.984593 1.47355i −0.877662 0.479281i \(-0.840898\pi\)
−0.106931 0.994266i \(-0.534102\pi\)
\(84\) 2.33189 + 0.420336i 0.254430 + 0.0458625i
\(85\) −0.414322 2.08294i −0.0449395 0.225926i
\(86\) −4.20716 + 4.28361i −0.453669 + 0.461914i
\(87\) 0.204324 0.493282i 0.0219059 0.0528854i
\(88\) 13.4818 6.01596i 1.43716 0.641303i
\(89\) 5.65060 + 13.6417i 0.598962 + 1.44602i 0.874640 + 0.484772i \(0.161098\pi\)
−0.275678 + 0.961250i \(0.588902\pi\)
\(90\) −1.53827 + 3.81041i −0.162148 + 0.401652i
\(91\) −2.95291 + 4.41935i −0.309549 + 0.463274i
\(92\) 4.45623 + 4.29854i 0.464594 + 0.448154i
\(93\) 9.15866 + 1.82177i 0.949709 + 0.188909i
\(94\) −0.398931 + 2.10442i −0.0411466 + 0.217055i
\(95\) 15.2767i 1.56736i
\(96\) 5.31839 + 1.92737i 0.542806 + 0.196711i
\(97\) 3.93894i 0.399939i −0.979802 0.199970i \(-0.935916\pi\)
0.979802 0.199970i \(-0.0640843\pi\)
\(98\) 7.77601 + 1.47408i 0.785496 + 0.148905i
\(99\) −5.11927 1.01829i −0.514506 0.102342i
\(100\) −6.88436 + 0.123995i −0.688436 + 0.0123995i
\(101\) 6.13787 9.18598i 0.610741 0.914039i −0.389233 0.921139i \(-0.627260\pi\)
0.999975 + 0.00710011i \(0.00226005\pi\)
\(102\) 0.958495 + 0.386947i 0.0949051 + 0.0383135i
\(103\) 2.83230 + 6.83778i 0.279075 + 0.673746i 0.999811 0.0194638i \(-0.00619591\pi\)
−0.720736 + 0.693210i \(0.756196\pi\)
\(104\) −8.72700 + 9.21171i −0.855753 + 0.903283i
\(105\) 1.31736 3.18038i 0.128561 0.310373i
\(106\) −3.90808 3.83832i −0.379586 0.372811i
\(107\) 2.01439 + 10.1270i 0.194738 + 0.979016i 0.947264 + 0.320454i \(0.103835\pi\)
−0.752526 + 0.658563i \(0.771165\pi\)
\(108\) −1.14091 1.64266i −0.109784 0.158065i
\(109\) −8.37442 12.5332i −0.802124 1.20046i −0.976443 0.215774i \(-0.930772\pi\)
0.174319 0.984689i \(-0.444228\pi\)
\(110\) −4.37358 20.9975i −0.417005 2.00204i
\(111\) −4.56676 4.56676i −0.433457 0.433457i
\(112\) −4.44069 1.65468i −0.419605 0.156352i
\(113\) −0.125336 + 0.125336i −0.0117907 + 0.0117907i −0.712978 0.701187i \(-0.752654\pi\)
0.701187 + 0.712978i \(0.252654\pi\)
\(114\) 6.21925 + 4.07505i 0.582486 + 0.381663i
\(115\) 7.47926 4.99748i 0.697444 0.466017i
\(116\) −0.577180 + 0.898425i −0.0535898 + 0.0834166i
\(117\) 4.40011 0.875236i 0.406790 0.0809156i
\(118\) 0.153206 + 17.0136i 0.0141037 + 1.56623i
\(119\) −0.800014 0.331377i −0.0733372 0.0303773i
\(120\) 4.37965 6.95417i 0.399806 0.634826i
\(121\) 15.0073 6.21624i 1.36430 0.565113i
\(122\) 16.4575 6.99118i 1.48999 0.632952i
\(123\) 7.69909 + 5.14437i 0.694203 + 0.463852i
\(124\) −17.3805 6.83518i −1.56081 0.613818i
\(125\) 0.882754 4.43790i 0.0789559 0.396938i
\(126\) 0.943349 + 1.38467i 0.0840402 + 0.123356i
\(127\) −11.1669 −0.990901 −0.495450 0.868636i \(-0.664997\pi\)
−0.495450 + 0.868636i \(0.664997\pi\)
\(128\) −9.78426 5.68052i −0.864814 0.502092i
\(129\) −4.24556 −0.373801
\(130\) 10.3796 + 15.2354i 0.910353 + 1.33623i
\(131\) 2.53280 12.7332i 0.221292 1.11251i −0.697142 0.716933i \(-0.745545\pi\)
0.918433 0.395576i \(-0.129455\pi\)
\(132\) 9.71487 + 3.82055i 0.845571 + 0.332536i
\(133\) −5.17914 3.46059i −0.449088 0.300071i
\(134\) 2.63002 1.11724i 0.227199 0.0965147i
\(135\) −2.68446 + 1.11194i −0.231042 + 0.0957005i
\(136\) −1.74930 1.10169i −0.150001 0.0944689i
\(137\) 2.23903 + 0.927436i 0.191293 + 0.0792362i 0.476274 0.879297i \(-0.341987\pi\)
−0.284981 + 0.958533i \(0.591987\pi\)
\(138\) 0.0394226 + 4.37792i 0.00335587 + 0.372673i
\(139\) −2.95706 + 0.588197i −0.250815 + 0.0498902i −0.318896 0.947790i \(-0.603312\pi\)
0.0680815 + 0.997680i \(0.478312\pi\)
\(140\) −3.72130 + 5.79249i −0.314507 + 0.489555i
\(141\) −1.25930 + 0.841440i −0.106053 + 0.0708620i
\(142\) 0.0902434 + 0.0591303i 0.00757306 + 0.00496210i
\(143\) −16.5580 + 16.5580i −1.38465 + 1.38465i
\(144\) 1.66282 + 3.63800i 0.138568 + 0.303167i
\(145\) 1.09700 + 1.09700i 0.0911009 + 0.0911009i
\(146\) 3.32736 + 15.9746i 0.275374 + 1.32207i
\(147\) 3.10919 + 4.65323i 0.256442 + 0.383792i
\(148\) 7.36840 + 10.6089i 0.605679 + 0.872047i
\(149\) 3.75414 + 18.8734i 0.307551 + 1.54617i 0.757334 + 0.653027i \(0.226501\pi\)
−0.449783 + 0.893138i \(0.648499\pi\)
\(150\) −3.47360 3.41160i −0.283618 0.278556i
\(151\) −4.40228 + 10.6281i −0.358253 + 0.864899i 0.637293 + 0.770621i \(0.280054\pi\)
−0.995546 + 0.0942773i \(0.969946\pi\)
\(152\) −10.7954 10.2274i −0.875624 0.829550i
\(153\) 0.279705 + 0.675267i 0.0226128 + 0.0545921i
\(154\) −8.10934 3.27377i −0.653470 0.263808i
\(155\) −15.0744 + 22.5604i −1.21080 + 1.81209i
\(156\) −8.97117 + 0.161582i −0.718269 + 0.0129369i
\(157\) 1.73052 + 0.344221i 0.138110 + 0.0274719i 0.263661 0.964615i \(-0.415070\pi\)
−0.125551 + 0.992087i \(0.540070\pi\)
\(158\) 7.52663 + 1.42681i 0.598786 + 0.113511i
\(159\) 3.87336i 0.307177i
\(160\) −11.0877 + 12.1339i −0.876557 + 0.959268i
\(161\) 3.66769i 0.289054i
\(162\) 0.263399 1.38947i 0.0206945 0.109167i
\(163\) 7.45340 + 1.48257i 0.583796 + 0.116124i 0.478148 0.878279i \(-0.341308\pi\)
0.105648 + 0.994404i \(0.466308\pi\)
\(164\) −13.3288 12.8571i −1.04080 1.00397i
\(165\) 8.42587 12.6102i 0.655953 0.981703i
\(166\) −8.54768 + 21.1732i −0.663428 + 1.64336i
\(167\) −4.28493 10.3447i −0.331578 0.800500i −0.998467 0.0553433i \(-0.982375\pi\)
0.666889 0.745157i \(-0.267625\pi\)
\(168\) −1.36550 3.06010i −0.105351 0.236092i
\(169\) 2.72739 6.58450i 0.209799 0.506500i
\(170\) −2.10453 + 2.14278i −0.161410 + 0.164344i
\(171\) 1.02571 + 5.15659i 0.0784380 + 0.394335i
\(172\) 8.35644 + 1.50629i 0.637173 + 0.114854i
\(173\) 8.84846 + 13.2427i 0.672736 + 1.00682i 0.998123 + 0.0612394i \(0.0195053\pi\)
−0.325387 + 0.945581i \(0.605495\pi\)
\(174\) −0.739219 + 0.153972i −0.0560400 + 0.0116726i
\(175\) 2.88410 + 2.88410i 0.218018 + 0.218018i
\(176\) −17.7661 10.9667i −1.33917 0.826644i
\(177\) −8.50716 + 8.50716i −0.639438 + 0.639438i
\(178\) 11.4445 17.4664i 0.857804 1.30916i
\(179\) 4.13382 2.76213i 0.308976 0.206451i −0.391408 0.920217i \(-0.628012\pi\)
0.700384 + 0.713766i \(0.253012\pi\)
\(180\) 5.67827 1.23618i 0.423234 0.0921394i
\(181\) 21.1385 4.20472i 1.57121 0.312534i 0.668813 0.743430i \(-0.266803\pi\)
0.902401 + 0.430896i \(0.141803\pi\)
\(182\) 7.51639 0.0676841i 0.557152 0.00501708i
\(183\) 11.6812 + 4.83852i 0.863501 + 0.357674i
\(184\) 1.47566 8.63095i 0.108787 0.636282i
\(185\) 17.3372 7.18132i 1.27466 0.527981i
\(186\) −5.16340 12.1548i −0.378599 0.891233i
\(187\) −3.17205 2.11950i −0.231964 0.154993i
\(188\) 2.77720 1.20940i 0.202548 0.0882043i
\(189\) −0.231131 + 1.16197i −0.0168123 + 0.0845211i
\(190\) −17.8547 + 12.1641i −1.29532 + 0.882478i
\(191\) 10.3424 0.748353 0.374177 0.927357i \(-0.377925\pi\)
0.374177 + 0.927357i \(0.377925\pi\)
\(192\) −1.98216 7.75055i −0.143050 0.559348i
\(193\) 17.5764 1.26517 0.632587 0.774489i \(-0.281993\pi\)
0.632587 + 0.774489i \(0.281993\pi\)
\(194\) −4.60365 + 3.13639i −0.330523 + 0.225180i
\(195\) −2.54312 + 12.7851i −0.182117 + 0.915562i
\(196\) −4.46882 10.2620i −0.319202 0.732999i
\(197\) −5.63403 3.76454i −0.401408 0.268212i 0.338438 0.940989i \(-0.390101\pi\)
−0.739846 + 0.672777i \(0.765101\pi\)
\(198\) 2.88610 + 6.79397i 0.205106 + 0.482827i
\(199\) −5.40441 + 2.23858i −0.383108 + 0.158689i −0.565922 0.824459i \(-0.691480\pi\)
0.182813 + 0.983148i \(0.441480\pi\)
\(200\) 5.62660 + 7.94738i 0.397861 + 0.561965i
\(201\) 1.86674 + 0.773229i 0.131670 + 0.0545394i
\(202\) −15.6234 + 0.140687i −1.09926 + 0.00989870i
\(203\) 0.620407 0.123407i 0.0435440 0.00866144i
\(204\) −0.310957 1.42835i −0.0217713 0.100005i
\(205\) −22.3708 + 14.9477i −1.56244 + 1.04399i
\(206\) 5.73645 8.75485i 0.399677 0.609979i
\(207\) −2.18905 + 2.18905i −0.152149 + 0.152149i
\(208\) 17.7151 + 2.86487i 1.22832 + 0.198643i
\(209\) −19.4047 19.4047i −1.34225 1.34225i
\(210\) −4.76603 + 0.992717i −0.328887 + 0.0685040i
\(211\) −10.2397 15.3248i −0.704931 1.05500i −0.995181 0.0980534i \(-0.968738\pi\)
0.290250 0.956951i \(-0.406262\pi\)
\(212\) −1.37424 + 7.62384i −0.0943831 + 0.523608i
\(213\) 0.0148834 + 0.0748239i 0.00101979 + 0.00512685i
\(214\) 10.2320 10.4180i 0.699447 0.712159i
\(215\) 4.72080 11.3970i 0.321956 0.777271i
\(216\) −1.01142 + 2.64141i −0.0688181 + 0.179725i
\(217\) 4.23370 + 10.2211i 0.287402 + 0.693850i
\(218\) −7.98008 + 19.7672i −0.540479 + 1.33880i
\(219\) −6.41027 + 9.59365i −0.433166 + 0.648279i
\(220\) −21.0585 + 21.8310i −1.41976 + 1.47184i
\(221\) 3.21606 + 0.639714i 0.216335 + 0.0430318i
\(222\) −1.70113 + 8.97370i −0.114172 + 0.602275i
\(223\) 16.9141i 1.13265i −0.824181 0.566326i \(-0.808364\pi\)
0.824181 0.566326i \(-0.191636\pi\)
\(224\) 1.60199 + 6.50760i 0.107037 + 0.434808i
\(225\) 3.44274i 0.229516i
\(226\) 0.246286 + 0.0466880i 0.0163827 + 0.00310564i
\(227\) 13.5902 + 2.70326i 0.902015 + 0.179422i 0.624248 0.781227i \(-0.285406\pi\)
0.277767 + 0.960648i \(0.410406\pi\)
\(228\) −0.189361 10.5135i −0.0125408 0.696275i
\(229\) −7.54671 + 11.2944i −0.498700 + 0.746358i −0.992371 0.123291i \(-0.960655\pi\)
0.493670 + 0.869649i \(0.335655\pi\)
\(230\) −11.7962 4.76215i −0.777817 0.314007i
\(231\) −2.36644 5.71310i −0.155700 0.375894i
\(232\) 1.50962 0.0407905i 0.0991112 0.00267803i
\(233\) 6.82763 16.4834i 0.447293 1.07986i −0.526039 0.850460i \(-0.676323\pi\)
0.973332 0.229401i \(-0.0736766\pi\)
\(234\) −4.52653 4.44574i −0.295908 0.290627i
\(235\) −0.858542 4.31618i −0.0560051 0.281557i
\(236\) 19.7628 13.7262i 1.28645 0.893499i
\(237\) 3.00948 + 4.50400i 0.195486 + 0.292566i
\(238\) 0.249715 + 1.19888i 0.0161866 + 0.0777117i
\(239\) 9.36327 + 9.36327i 0.605660 + 0.605660i 0.941809 0.336149i \(-0.109125\pi\)
−0.336149 + 0.941809i \(0.609125\pi\)
\(240\) −11.6150 + 0.418536i −0.749746 + 0.0270164i
\(241\) 14.2158 14.2158i 0.915718 0.915718i −0.0809960 0.996714i \(-0.525810\pi\)
0.996714 + 0.0809960i \(0.0258101\pi\)
\(242\) −19.2149 12.5902i −1.23518 0.809327i
\(243\) 0.831470 0.555570i 0.0533388 0.0356398i
\(244\) −21.2752 13.6680i −1.36201 0.875003i
\(245\) −15.9487 + 3.17238i −1.01892 + 0.202676i
\(246\) −0.117915 13.0945i −0.00751796 0.834877i
\(247\) 21.7918 + 9.02648i 1.38658 + 0.574341i
\(248\) 5.85057 + 25.7560i 0.371511 + 1.63551i
\(249\) −14.9167 + 6.17869i −0.945306 + 0.391558i
\(250\) −5.88971 + 2.50196i −0.372498 + 0.158238i
\(251\) −5.62659 3.75956i −0.355147 0.237302i 0.365179 0.930937i \(-0.381008\pi\)
−0.720326 + 0.693636i \(0.756008\pi\)
\(252\) 0.867190 2.20508i 0.0546278 0.138907i
\(253\) 3.15239 15.8481i 0.198189 0.996364i
\(254\) 8.89165 + 13.0513i 0.557912 + 0.818914i
\(255\) −2.12374 −0.132994
\(256\) 1.15160 + 15.9585i 0.0719747 + 0.997406i
\(257\) 19.0646 1.18922 0.594609 0.804015i \(-0.297307\pi\)
0.594609 + 0.804015i \(0.297307\pi\)
\(258\) 3.38053 + 4.96201i 0.210463 + 0.308921i
\(259\) 1.49273 7.50445i 0.0927536 0.466304i
\(260\) 9.54165 24.2624i 0.591748 1.50469i
\(261\) −0.443942 0.296633i −0.0274793 0.0183611i
\(262\) −16.8988 + 7.17865i −1.04401 + 0.443498i
\(263\) −1.51777 + 0.628681i −0.0935898 + 0.0387662i −0.428987 0.903311i \(-0.641129\pi\)
0.335397 + 0.942077i \(0.391129\pi\)
\(264\) −3.27020 14.3964i −0.201267 0.886037i
\(265\) 10.3979 + 4.30694i 0.638736 + 0.264573i
\(266\) 0.0793206 + 8.80863i 0.00486346 + 0.540092i
\(267\) 14.4820 2.88065i 0.886284 0.176293i
\(268\) −3.39993 2.18424i −0.207684 0.133424i
\(269\) −15.0009 + 10.0233i −0.914622 + 0.611131i −0.921303 0.388847i \(-0.872874\pi\)
0.00668013 + 0.999978i \(0.497874\pi\)
\(270\) 3.43709 + 2.25209i 0.209175 + 0.137058i
\(271\) −1.07768 + 1.07768i −0.0654641 + 0.0654641i −0.739081 0.673617i \(-0.764740\pi\)
0.673617 + 0.739081i \(0.264740\pi\)
\(272\) 0.105281 + 2.92172i 0.00638363 + 0.177155i
\(273\) 3.75835 + 3.75835i 0.227465 + 0.227465i
\(274\) −0.698886 3.35534i −0.0422212 0.202704i
\(275\) 9.98336 + 14.9412i 0.602019 + 0.900985i
\(276\) 5.08532 3.53200i 0.306100 0.212601i
\(277\) −2.53645 12.7516i −0.152400 0.766168i −0.979077 0.203491i \(-0.934771\pi\)
0.826677 0.562677i \(-0.190229\pi\)
\(278\) 3.04202 + 2.98773i 0.182448 + 0.179192i
\(279\) 3.57353 8.62727i 0.213942 0.516501i
\(280\) 9.73308 0.262992i 0.581663 0.0157168i
\(281\) 8.89914 + 21.4844i 0.530878 + 1.28165i 0.930943 + 0.365166i \(0.118988\pi\)
−0.400065 + 0.916487i \(0.631012\pi\)
\(282\) 1.98616 + 0.801818i 0.118274 + 0.0477476i
\(283\) 9.44146 14.1301i 0.561237 0.839950i −0.436991 0.899466i \(-0.643956\pi\)
0.998227 + 0.0595160i \(0.0189557\pi\)
\(284\) −0.00274769 0.152555i −0.000163046 0.00905246i
\(285\) −14.9832 2.98034i −0.887528 0.176540i
\(286\) 32.5366 + 6.16790i 1.92393 + 0.364715i
\(287\) 10.9702i 0.647551i
\(288\) 2.92790 4.84019i 0.172528 0.285211i
\(289\) 16.4658i 0.968575i
\(290\) 0.408635 2.15561i 0.0239959 0.126582i
\(291\) −3.86326 0.768450i −0.226468 0.0450473i
\(292\) 16.0210 16.6087i 0.937556 0.971949i
\(293\) 4.51563 6.75812i 0.263806 0.394813i −0.675793 0.737092i \(-0.736199\pi\)
0.939599 + 0.342278i \(0.111199\pi\)
\(294\) 2.96278 7.33902i 0.172793 0.428020i
\(295\) −13.3777 32.2966i −0.778879 1.88038i
\(296\) 6.53209 17.0592i 0.379670 0.991546i
\(297\) −1.99744 + 4.82225i −0.115903 + 0.279815i
\(298\) 19.0690 19.4156i 1.10464 1.12472i
\(299\) 2.70954 + 13.6218i 0.156697 + 0.787768i
\(300\) −1.22146 + 6.77627i −0.0705209 + 0.391228i
\(301\) −2.79445 4.18219i −0.161069 0.241057i
\(302\) 15.9269 3.31742i 0.916490 0.190896i
\(303\) −7.81203 7.81203i −0.448790 0.448790i
\(304\) −3.35741 + 20.7607i −0.192561 + 1.19071i
\(305\) −25.9776 + 25.9776i −1.48748 + 1.48748i
\(306\) 0.566505 0.864588i 0.0323849 0.0494252i
\(307\) −21.5889 + 14.4252i −1.23214 + 0.823292i −0.989175 0.146742i \(-0.953121\pi\)
−0.242969 + 0.970034i \(0.578121\pi\)
\(308\) 2.63085 + 12.0846i 0.149907 + 0.688582i
\(309\) 7.25894 1.44389i 0.412947 0.0821402i
\(310\) 38.3705 0.345521i 2.17930 0.0196243i
\(311\) −3.61751 1.49842i −0.205130 0.0849678i 0.277753 0.960653i \(-0.410410\pi\)
−0.482883 + 0.875685i \(0.660410\pi\)
\(312\) 7.33216 + 10.3564i 0.415102 + 0.586317i
\(313\) −6.92151 + 2.86698i −0.391227 + 0.162052i −0.569621 0.821908i \(-0.692910\pi\)
0.178394 + 0.983959i \(0.442910\pi\)
\(314\) −0.975617 2.29664i −0.0550573 0.129607i
\(315\) −2.86227 1.91251i −0.161270 0.107757i
\(316\) −4.32550 9.93287i −0.243328 0.558767i
\(317\) 4.76778 23.9692i 0.267785 1.34625i −0.579441 0.815014i \(-0.696729\pi\)
0.847226 0.531232i \(-0.178271\pi\)
\(318\) −4.52700 + 3.08416i −0.253861 + 0.172951i
\(319\) 2.78685 0.156034
\(320\) 23.0101 + 3.29713i 1.28630 + 0.184315i
\(321\) 10.3254 0.576309
\(322\) −4.28662 + 2.92040i −0.238884 + 0.162748i
\(323\) −0.749695 + 3.76897i −0.0417142 + 0.209711i
\(324\) −1.83368 + 0.798518i −0.101871 + 0.0443621i
\(325\) −12.8422 8.58089i −0.712358 0.475982i
\(326\) −4.20202 9.89169i −0.232728 0.547850i
\(327\) −13.9262 + 5.76840i −0.770118 + 0.318993i
\(328\) −4.41376 + 25.8155i −0.243709 + 1.42542i
\(329\) −1.65776 0.686667i −0.0913953 0.0378572i
\(330\) −21.4473 + 0.193130i −1.18064 + 0.0106315i
\(331\) 9.53588 1.89680i 0.524139 0.104258i 0.0740728 0.997253i \(-0.476400\pi\)
0.450066 + 0.892995i \(0.351400\pi\)
\(332\) 31.5523 6.86905i 1.73166 0.376988i
\(333\) −5.36994 + 3.58808i −0.294271 + 0.196625i
\(334\) −8.67856 + 13.2450i −0.474870 + 0.724736i
\(335\) −4.15141 + 4.15141i −0.226816 + 0.226816i
\(336\) −2.48922 + 4.03255i −0.135798 + 0.219993i
\(337\) −9.94514 9.94514i −0.541746 0.541746i 0.382294 0.924041i \(-0.375134\pi\)
−0.924041 + 0.382294i \(0.875134\pi\)
\(338\) −9.86735 + 2.05527i −0.536713 + 0.111792i
\(339\) 0.0984761 + 0.147380i 0.00534849 + 0.00800458i
\(340\) 4.18012 + 0.753489i 0.226699 + 0.0408637i
\(341\) 9.50885 + 47.8042i 0.514933 + 2.58874i
\(342\) 5.21006 5.30475i 0.281728 0.286848i
\(343\) −5.71095 + 13.7874i −0.308362 + 0.744452i
\(344\) −4.89334 10.9660i −0.263831 0.591247i
\(345\) −3.44232 8.31050i −0.185328 0.447422i
\(346\) 8.43180 20.8861i 0.453296 1.12285i
\(347\) −0.240093 + 0.359325i −0.0128889 + 0.0192896i −0.837858 0.545888i \(-0.816192\pi\)
0.824969 + 0.565178i \(0.191192\pi\)
\(348\) 0.768559 + 0.741364i 0.0411991 + 0.0397413i
\(349\) 19.9217 + 3.96268i 1.06639 + 0.212117i 0.696936 0.717133i \(-0.254546\pi\)
0.369450 + 0.929250i \(0.379546\pi\)
\(350\) 1.07433 5.66728i 0.0574256 0.302929i
\(351\) 4.48631i 0.239462i
\(352\) 1.32892 + 29.4964i 0.0708315 + 1.57216i
\(353\) 9.26925i 0.493352i −0.969098 0.246676i \(-0.920662\pi\)
0.969098 0.246676i \(-0.0793384\pi\)
\(354\) 16.7166 + 3.16893i 0.888478 + 0.168427i
\(355\) −0.217411 0.0432458i −0.0115390 0.00229525i
\(356\) −29.5267 + 0.531810i −1.56491 + 0.0281859i
\(357\) −0.481084 + 0.719994i −0.0254617 + 0.0381061i
\(358\) −6.51981 2.63207i −0.344583 0.139109i
\(359\) −2.52748 6.10187i −0.133395 0.322044i 0.843042 0.537848i \(-0.180763\pi\)
−0.976437 + 0.215804i \(0.930763\pi\)
\(360\) −5.96612 5.65219i −0.314442 0.297897i
\(361\) −3.30735 + 7.98466i −0.174071 + 0.420245i
\(362\) −21.7459 21.3577i −1.14294 1.12254i
\(363\) −3.16901 15.9317i −0.166330 0.836197i
\(364\) −6.06404 8.73091i −0.317842 0.457624i
\(365\) −18.6259 27.8757i −0.974926 1.45908i
\(366\) −3.64615 17.5052i −0.190587 0.915009i
\(367\) 12.1118 + 12.1118i 0.632231 + 0.632231i 0.948627 0.316396i \(-0.102473\pi\)
−0.316396 + 0.948627i \(0.602473\pi\)
\(368\) −11.2624 + 5.14773i −0.587096 + 0.268344i
\(369\) 6.54754 6.54754i 0.340851 0.340851i
\(370\) −22.1980 14.5448i −1.15402 0.756149i
\(371\) 3.81554 2.54946i 0.198093 0.132361i
\(372\) −10.0946 + 15.7130i −0.523381 + 0.814682i
\(373\) −27.0116 + 5.37294i −1.39861 + 0.278200i −0.836093 0.548587i \(-0.815166\pi\)
−0.562514 + 0.826788i \(0.690166\pi\)
\(374\) 0.0485813 + 5.39500i 0.00251208 + 0.278969i
\(375\) −4.18041 1.73158i −0.215876 0.0894186i
\(376\) −3.62483 2.28288i −0.186937 0.117730i
\(377\) −2.21302 + 0.916663i −0.113976 + 0.0472105i
\(378\) 1.54210 0.655088i 0.0793170 0.0336941i
\(379\) 18.0856 + 12.0844i 0.928995 + 0.620735i 0.925291 0.379258i \(-0.123821\pi\)
0.00370441 + 0.999993i \(0.498821\pi\)
\(380\) 28.4337 + 11.1821i 1.45862 + 0.573628i
\(381\) −2.17855 + 10.9523i −0.111611 + 0.561104i
\(382\) −8.23519 12.0878i −0.421349 0.618464i
\(383\) 2.66021 0.135930 0.0679651 0.997688i \(-0.478349\pi\)
0.0679651 + 0.997688i \(0.478349\pi\)
\(384\) −7.48019 + 8.48804i −0.381722 + 0.433153i
\(385\) 17.9679 0.915730
\(386\) −13.9952 20.5424i −0.712337 1.04558i
\(387\) −0.828267 + 4.16398i −0.0421032 + 0.211667i
\(388\) 7.33133 + 2.88318i 0.372192 + 0.146371i
\(389\) 4.82813 + 3.22605i 0.244796 + 0.163567i 0.671916 0.740628i \(-0.265472\pi\)
−0.427120 + 0.904195i \(0.640472\pi\)
\(390\) 16.9676 7.20790i 0.859189 0.364986i
\(391\) −2.09048 + 0.865905i −0.105720 + 0.0437907i
\(392\) −8.43542 + 13.3941i −0.426053 + 0.676502i
\(393\) −11.9945 4.96827i −0.605040 0.250616i
\(394\) 0.0862874 + 9.58230i 0.00434709 + 0.482749i
\(395\) −15.4372 + 3.07064i −0.776728 + 0.154501i
\(396\) 5.64242 8.78285i 0.283542 0.441355i
\(397\) −28.1488 + 18.8084i −1.41275 + 0.943969i −0.413306 + 0.910592i \(0.635626\pi\)
−0.999443 + 0.0333765i \(0.989374\pi\)
\(398\) 6.91961 + 4.53395i 0.346849 + 0.227266i
\(399\) −4.40449 + 4.40449i −0.220501 + 0.220501i
\(400\) 4.80834 12.9042i 0.240417 0.645211i
\(401\) 9.71914 + 9.71914i 0.485350 + 0.485350i 0.906835 0.421485i \(-0.138491\pi\)
−0.421485 + 0.906835i \(0.638491\pi\)
\(402\) −0.582680 2.79744i −0.0290615 0.139524i
\(403\) −23.2748 34.8333i −1.15940 1.73517i
\(404\) 12.6046 + 18.1479i 0.627103 + 0.902892i
\(405\) 0.566862 + 2.84981i 0.0281676 + 0.141608i
\(406\) −0.638231 0.626839i −0.0316749 0.0311095i
\(407\) 12.9002 31.1438i 0.639439 1.54374i
\(408\) −1.42179 + 1.50076i −0.0703891 + 0.0742986i
\(409\) −2.47741 5.98100i −0.122500 0.295742i 0.850719 0.525621i \(-0.176167\pi\)
−0.973219 + 0.229879i \(0.926167\pi\)
\(410\) 35.2829 + 14.2438i 1.74250 + 0.703451i
\(411\) 1.34643 2.01507i 0.0664144 0.0993962i
\(412\) −14.7999 + 0.266564i −0.729139 + 0.0131327i
\(413\) −13.9796 2.78072i −0.687893 0.136830i
\(414\) 4.30149 + 0.815425i 0.211407 + 0.0400759i
\(415\) 46.9135i 2.30290i
\(416\) −10.7573 22.9857i −0.527422 1.12697i
\(417\) 3.01500i 0.147645i
\(418\) −7.22830 + 38.1304i −0.353548 + 1.86502i
\(419\) 14.4757 + 2.87940i 0.707184 + 0.140668i 0.535563 0.844495i \(-0.320099\pi\)
0.171621 + 0.985163i \(0.445099\pi\)
\(420\) 4.95520 + 4.77986i 0.241789 + 0.233233i
\(421\) −11.6193 + 17.3895i −0.566290 + 0.847513i −0.998528 0.0542468i \(-0.982724\pi\)
0.432237 + 0.901760i \(0.357724\pi\)
\(422\) −9.75754 + 24.1701i −0.474990 + 1.17658i
\(423\) 0.579594 + 1.39926i 0.0281808 + 0.0680345i
\(424\) 10.0046 4.46435i 0.485868 0.216808i
\(425\) 0.962950 2.32477i 0.0467099 0.112768i
\(426\) 0.0755997 0.0769736i 0.00366282 0.00372938i
\(427\) 2.92234 + 14.6916i 0.141422 + 0.710977i
\(428\) −20.3233 3.66339i −0.982365 0.177076i
\(429\) 13.0096 + 19.4702i 0.628107 + 0.940029i
\(430\) −17.0793 + 3.55745i −0.823635 + 0.171555i
\(431\) −1.71192 1.71192i −0.0824605 0.0824605i 0.664673 0.747134i \(-0.268571\pi\)
−0.747134 + 0.664673i \(0.768571\pi\)
\(432\) 3.89250 0.921130i 0.187278 0.0443179i
\(433\) −14.2129 + 14.2129i −0.683030 + 0.683030i −0.960682 0.277652i \(-0.910444\pi\)
0.277652 + 0.960682i \(0.410444\pi\)
\(434\) 8.57480 13.0867i 0.411604 0.628180i
\(435\) 1.28994 0.861908i 0.0618477 0.0413253i
\(436\) 29.4571 6.41292i 1.41074 0.307123i
\(437\) −15.9637 + 3.17537i −0.763647 + 0.151899i
\(438\) 16.3168 0.146931i 0.779647 0.00702062i
\(439\) −9.27423 3.84151i −0.442635 0.183345i 0.150224 0.988652i \(-0.452001\pi\)
−0.592858 + 0.805307i \(0.702001\pi\)
\(440\) 42.2828 + 7.22922i 2.01575 + 0.344640i
\(441\) 5.17040 2.14165i 0.246209 0.101983i
\(442\) −1.81312 4.26815i −0.0862414 0.203015i
\(443\) 25.2331 + 16.8602i 1.19886 + 0.801052i 0.984445 0.175690i \(-0.0562158\pi\)
0.214414 + 0.976743i \(0.431216\pi\)
\(444\) 11.8426 5.15712i 0.562023 0.244746i
\(445\) −8.37013 + 42.0795i −0.396782 + 1.99476i
\(446\) −19.7684 + 13.4679i −0.936062 + 0.637723i
\(447\) 19.2431 0.910168
\(448\) 6.33020 7.05402i 0.299074 0.333271i
\(449\) −22.4612 −1.06001 −0.530004 0.847995i \(-0.677810\pi\)
−0.530004 + 0.847995i \(0.677810\pi\)
\(450\) −4.02371 + 2.74128i −0.189679 + 0.129225i
\(451\) −9.42893 + 47.4024i −0.443991 + 2.23209i
\(452\) −0.141539 0.325023i −0.00665744 0.0152878i
\(453\) 9.56500 + 6.39113i 0.449403 + 0.300281i
\(454\) −7.66178 18.0361i −0.359585 0.846476i
\(455\) −14.2682 + 5.91008i −0.668903 + 0.277069i
\(456\) −12.1369 + 8.59273i −0.568364 + 0.402391i
\(457\) −14.0279 5.81056i −0.656199 0.271807i 0.0296390 0.999561i \(-0.490564\pi\)
−0.685838 + 0.727754i \(0.740564\pi\)
\(458\) 19.2095 0.172979i 0.897601 0.00808278i
\(459\) 0.716860 0.142592i 0.0334601 0.00665564i
\(460\) 3.82694 + 17.5787i 0.178432 + 0.819611i
\(461\) 13.7189 9.16667i 0.638952 0.426934i −0.193447 0.981111i \(-0.561967\pi\)
0.832399 + 0.554176i \(0.186967\pi\)
\(462\) −4.79292 + 7.31485i −0.222987 + 0.340317i
\(463\) 1.45697 1.45697i 0.0677111 0.0677111i −0.672440 0.740151i \(-0.734754\pi\)
0.740151 + 0.672440i \(0.234754\pi\)
\(464\) −1.24971 1.73189i −0.0580163 0.0804010i
\(465\) 19.1860 + 19.1860i 0.889730 + 0.889730i
\(466\) −24.7015 + 5.14508i −1.14427 + 0.238341i
\(467\) 20.1469 + 30.1520i 0.932288 + 1.39527i 0.918525 + 0.395362i \(0.129381\pi\)
0.0137628 + 0.999905i \(0.495619\pi\)
\(468\) −1.59171 + 8.83032i −0.0735769 + 0.408182i
\(469\) 0.467010 + 2.34782i 0.0215645 + 0.108412i
\(470\) −4.36094 + 4.44019i −0.201155 + 0.204811i
\(471\) 0.675215 1.63011i 0.0311123 0.0751116i
\(472\) −31.7786 12.1683i −1.46273 0.560091i
\(473\) −8.48025 20.4731i −0.389922 0.941355i
\(474\) 2.86776 7.10365i 0.131721 0.326281i
\(475\) 10.0561 15.0501i 0.461408 0.690545i
\(476\) 1.20236 1.24646i 0.0551099 0.0571315i
\(477\) −3.79893 0.755654i −0.173941 0.0345990i
\(478\) 3.48784 18.3989i 0.159530 0.841545i
\(479\) 15.3044i 0.699276i −0.936885 0.349638i \(-0.886305\pi\)
0.936885 0.349638i \(-0.113695\pi\)
\(480\) 9.73764 + 13.2418i 0.444460 + 0.604404i
\(481\) 28.9743i 1.32111i
\(482\) −27.9341 5.29540i −1.27236 0.241199i
\(483\) −3.59722 0.715531i −0.163679 0.0325578i
\(484\) 0.585046 + 32.4824i 0.0265930 + 1.47647i
\(485\) 6.35858 9.51629i 0.288728 0.432113i
\(486\) −1.31138 0.529409i −0.0594855 0.0240145i
\(487\) 6.14813 + 14.8429i 0.278599 + 0.672596i 0.999797 0.0201317i \(-0.00640856\pi\)
−0.721199 + 0.692728i \(0.756409\pi\)
\(488\) 0.965945 + 35.7486i 0.0437263 + 1.61827i
\(489\) 2.90817 7.02095i 0.131512 0.317499i
\(490\) 16.4069 + 16.1140i 0.741187 + 0.727957i
\(491\) −6.85615 34.4682i −0.309414 1.55553i −0.752221 0.658911i \(-0.771017\pi\)
0.442807 0.896617i \(-0.353983\pi\)
\(492\) −15.2104 + 10.5644i −0.685738 + 0.476278i
\(493\) −0.216810 0.324479i −0.00976463 0.0146138i
\(494\) −6.80206 32.6566i −0.306039 1.46929i
\(495\) −10.7241 10.7241i −0.482012 0.482012i
\(496\) 25.4439 27.3461i 1.14246 1.22788i
\(497\) −0.0639107 + 0.0639107i −0.00286679 + 0.00286679i
\(498\) 19.0988 + 12.5141i 0.855837 + 0.560771i
\(499\) 25.6635 17.1478i 1.14885 0.767640i 0.172756 0.984965i \(-0.444733\pi\)
0.976099 + 0.217324i \(0.0697330\pi\)
\(500\) 7.61386 + 4.89142i 0.340502 + 0.218751i
\(501\) −10.9819 + 2.18444i −0.490636 + 0.0975935i
\(502\) 0.0861734 + 9.56965i 0.00384611 + 0.427114i
\(503\) −14.1932 5.87903i −0.632845 0.262133i 0.0431164 0.999070i \(-0.486271\pi\)
−0.675961 + 0.736937i \(0.736271\pi\)
\(504\) −3.26770 + 0.742270i −0.145555 + 0.0330633i
\(505\) 29.6576 12.2846i 1.31975 0.546657i
\(506\) −21.0327 + 8.93473i −0.935016 + 0.397197i
\(507\) −5.92590 3.95956i −0.263178 0.175850i
\(508\) 8.17380 20.7843i 0.362654 0.922153i
\(509\) 3.56893 17.9422i 0.158190 0.795275i −0.817467 0.575975i \(-0.804623\pi\)
0.975657 0.219300i \(-0.0703774\pi\)
\(510\) 1.69103 + 2.48213i 0.0748802 + 0.109911i
\(511\) −13.6697 −0.604713
\(512\) 17.7346 14.0529i 0.783766 0.621057i
\(513\) 5.25762 0.232129
\(514\) −15.1802 22.2818i −0.669571 0.982809i
\(515\) −4.19543 + 21.0919i −0.184873 + 0.929419i
\(516\) 3.10761 7.90201i 0.136805 0.347867i
\(517\) −6.57302 4.39195i −0.289081 0.193158i
\(518\) −9.95944 + 4.23080i −0.437593 + 0.185891i
\(519\) 14.7144 6.09492i 0.645893 0.267537i
\(520\) −35.9543 + 8.16716i −1.57670 + 0.358154i
\(521\) −8.89269 3.68347i −0.389596 0.161376i 0.179282 0.983798i \(-0.442622\pi\)
−0.568878 + 0.822422i \(0.692622\pi\)
\(522\) 0.00679916 + 0.755053i 0.000297591 + 0.0330478i
\(523\) 31.2067 6.20740i 1.36457 0.271430i 0.542138 0.840289i \(-0.317615\pi\)
0.822435 + 0.568859i \(0.192615\pi\)
\(524\) 21.8457 + 14.0345i 0.954335 + 0.613099i
\(525\) 3.39135 2.26603i 0.148011 0.0988975i
\(526\) 1.94330 + 1.27331i 0.0847319 + 0.0555190i
\(527\) 4.82618 4.82618i 0.210232 0.210232i
\(528\) −14.2219 + 15.2852i −0.618931 + 0.665203i
\(529\) 9.48664 + 9.48664i 0.412463 + 0.412463i
\(530\) −3.24557 15.5819i −0.140978 0.676836i
\(531\) 6.68404 + 10.0034i 0.290062 + 0.434109i
\(532\) 10.2320 7.10659i 0.443612 0.308110i
\(533\) −8.10435 40.7433i −0.351038 1.76479i
\(534\) −14.8981 14.6322i −0.644703 0.633196i
\(535\) −11.4813 + 27.7182i −0.496378 + 1.19836i
\(536\) 0.154365 + 5.71288i 0.00666754 + 0.246759i
\(537\) −1.90259 4.59326i −0.0821028 0.198214i
\(538\) 23.6593 + 9.55131i 1.02002 + 0.411786i
\(539\) −16.2286 + 24.2878i −0.699016 + 1.04615i
\(540\) −0.104651 5.81034i −0.00450347 0.250037i
\(541\) 43.9467 + 8.74155i 1.88942 + 0.375829i 0.997135 0.0756471i \(-0.0241022\pi\)
0.892283 + 0.451476i \(0.149102\pi\)
\(542\) 2.11764 + 0.401436i 0.0909603 + 0.0172432i
\(543\) 21.5527i 0.924913i
\(544\) 3.33094 2.44947i 0.142813 0.105020i
\(545\) 43.7983i 1.87611i
\(546\) 1.39999 7.38517i 0.0599141 0.316056i
\(547\) −4.26116 0.847597i −0.182194 0.0362406i 0.103150 0.994666i \(-0.467108\pi\)
−0.285344 + 0.958425i \(0.592108\pi\)
\(548\) −3.36508 + 3.48852i −0.143749 + 0.149022i
\(549\) 7.02445 10.5128i 0.299796 0.448677i
\(550\) 9.51326 23.5650i 0.405647 1.00481i
\(551\) −1.07426 2.59349i −0.0457650 0.110486i
\(552\) −8.17723 3.13112i −0.348046 0.133269i
\(553\) −2.45592 + 5.92911i −0.104436 + 0.252131i
\(554\) −12.8838 + 13.1179i −0.547380 + 0.557328i
\(555\) −3.66100 18.4051i −0.155401 0.781254i
\(556\) 1.06970 5.93435i 0.0453654 0.251673i
\(557\) −2.86872 4.29334i −0.121551 0.181915i 0.765704 0.643193i \(-0.222391\pi\)
−0.887255 + 0.461279i \(0.847391\pi\)
\(558\) −12.9286 + 2.69290i −0.547310 + 0.113999i
\(559\) 13.4682 + 13.4682i 0.569644 + 0.569644i
\(560\) −8.05735 11.1662i −0.340485 0.471856i
\(561\) −2.69761 + 2.69761i −0.113893 + 0.113893i
\(562\) 18.0240 27.5079i 0.760298 1.16035i
\(563\) 30.5462 20.4103i 1.28737 0.860193i 0.292010 0.956415i \(-0.405676\pi\)
0.995360 + 0.0962225i \(0.0306760\pi\)
\(564\) −0.644354 2.95978i −0.0271322 0.124629i
\(565\) −0.505135 + 0.100478i −0.0212512 + 0.00422712i
\(566\) −24.0324 + 0.216409i −1.01016 + 0.00909634i
\(567\) 1.09455 + 0.453379i 0.0459670 + 0.0190401i
\(568\) −0.176111 + 0.124683i −0.00738946 + 0.00523160i
\(569\) −16.8518 + 6.98026i −0.706466 + 0.292628i −0.706841 0.707372i \(-0.749880\pi\)
0.000375543 1.00000i \(0.499880\pi\)
\(570\) 8.44710 + 19.8848i 0.353810 + 0.832881i
\(571\) −17.3358 11.5834i −0.725482 0.484752i 0.137171 0.990547i \(-0.456199\pi\)
−0.862653 + 0.505796i \(0.831199\pi\)
\(572\) −18.6986 42.9385i −0.781826 1.79535i
\(573\) 2.01771 10.1437i 0.0842911 0.423760i
\(574\) 12.8215 8.73504i 0.535158 0.364594i
\(575\) 10.6580 0.444468
\(576\) −7.98833 + 0.432012i −0.332847 + 0.0180005i
\(577\) −0.646088 −0.0268970 −0.0134485 0.999910i \(-0.504281\pi\)
−0.0134485 + 0.999910i \(0.504281\pi\)
\(578\) −19.2444 + 13.1109i −0.800463 + 0.545341i
\(579\) 3.42898 17.2386i 0.142504 0.716413i
\(580\) −2.84475 + 1.23881i −0.118122 + 0.0514390i
\(581\) −15.9047 10.6272i −0.659838 0.440889i
\(582\) 2.17800 + 5.12708i 0.0902809 + 0.212524i
\(583\) 18.6783 7.73679i 0.773575 0.320425i
\(584\) −32.1681 5.49988i −1.33113 0.227587i
\(585\) 12.0433 + 4.98851i 0.497930 + 0.206250i
\(586\) −11.4941 + 0.103503i −0.474819 + 0.00427568i
\(587\) 4.65120 0.925181i 0.191975 0.0381863i −0.0981660 0.995170i \(-0.531298\pi\)
0.290142 + 0.956984i \(0.406298\pi\)
\(588\) −10.9366 + 2.38094i −0.451019 + 0.0981884i
\(589\) 40.8219 27.2763i 1.68204 1.12390i
\(590\) −27.0947 + 41.3514i −1.11547 + 1.70241i
\(591\) −4.79135 + 4.79135i −0.197090 + 0.197090i
\(592\) −25.1392 + 5.94900i −1.03321 + 0.244502i
\(593\) 16.9541 + 16.9541i 0.696222 + 0.696222i 0.963594 0.267371i \(-0.0861550\pi\)
−0.267371 + 0.963594i \(0.586155\pi\)
\(594\) 7.22648 1.50521i 0.296506 0.0617593i
\(595\) −1.39786 2.09204i −0.0573066 0.0857653i
\(596\) −37.8758 6.82732i −1.55145 0.279658i
\(597\) 1.14122 + 5.73729i 0.0467069 + 0.234812i
\(598\) 13.7630 14.0131i 0.562812 0.573040i
\(599\) −12.1127 + 29.2425i −0.494910 + 1.19482i 0.457283 + 0.889321i \(0.348823\pi\)
−0.952193 + 0.305497i \(0.901177\pi\)
\(600\) 8.89237 3.96803i 0.363029 0.161994i
\(601\) 7.37520 + 17.8053i 0.300841 + 0.726294i 0.999937 + 0.0112656i \(0.00358604\pi\)
−0.699096 + 0.715028i \(0.746414\pi\)
\(602\) −2.66286 + 6.59609i −0.108530 + 0.268837i
\(603\) 1.12255 1.68002i 0.0457140 0.0684158i
\(604\) −16.5591 15.9731i −0.673778 0.649937i
\(605\) 46.2918 + 9.20800i 1.88203 + 0.374359i
\(606\) −2.91000 + 15.3507i −0.118211 + 0.623579i
\(607\) 32.3153i 1.31164i 0.754918 + 0.655819i \(0.227677\pi\)
−0.754918 + 0.655819i \(0.772323\pi\)
\(608\) 26.9375 12.6068i 1.09246 0.511273i
\(609\) 0.632561i 0.0256327i
\(610\) 51.0462 + 9.67672i 2.06680 + 0.391799i
\(611\) 6.66420 + 1.32559i 0.269605 + 0.0536277i
\(612\) −1.46157 + 0.0263246i −0.0590805 + 0.00106411i
\(613\) 6.67389 9.98819i 0.269556 0.403419i −0.671854 0.740684i \(-0.734502\pi\)
0.941410 + 0.337265i \(0.109502\pi\)
\(614\) 34.0497 + 13.7460i 1.37414 + 0.554742i
\(615\) 10.2961 + 24.8571i 0.415180 + 1.00233i
\(616\) 12.0291 12.6972i 0.484664 0.511583i
\(617\) 7.44235 17.9674i 0.299618 0.723341i −0.700337 0.713812i \(-0.746967\pi\)
0.999955 0.00952845i \(-0.00303304\pi\)
\(618\) −7.46750 7.33421i −0.300387 0.295025i
\(619\) −2.22424 11.1820i −0.0893998 0.449443i −0.999394 0.0348213i \(-0.988914\pi\)
0.909994 0.414622i \(-0.136086\pi\)
\(620\) −30.9564 44.5705i −1.24324 1.78999i
\(621\) 1.71992 + 2.57405i 0.0690182 + 0.103293i
\(622\) 1.12916 + 5.42110i 0.0452753 + 0.217366i
\(623\) 12.3698 + 12.3698i 0.495585 + 0.495585i
\(624\) 6.26587 16.8158i 0.250835 0.673171i
\(625\) 21.4686 21.4686i 0.858746 0.858746i
\(626\) 8.86206 + 5.80670i 0.354199 + 0.232082i
\(627\) −22.8176 + 15.2462i −0.911246 + 0.608875i
\(628\) −1.90736 + 2.96895i −0.0761121 + 0.118474i
\(629\) −4.62974 + 0.920913i −0.184600 + 0.0367192i
\(630\) 0.0438368 + 4.86812i 0.00174650 + 0.193950i
\(631\) 5.70909 + 2.36478i 0.227275 + 0.0941406i 0.493415 0.869794i \(-0.335748\pi\)
−0.266140 + 0.963934i \(0.585748\pi\)
\(632\) −8.16488 + 12.9645i −0.324782 + 0.515700i
\(633\) −17.0280 + 7.05324i −0.676803 + 0.280341i
\(634\) −31.8105 + 13.5132i −1.26336 + 0.536677i
\(635\) −26.9786 18.0266i −1.07061 0.715362i
\(636\) 7.20925 + 2.83517i 0.285865 + 0.112422i
\(637\) 4.89817 24.6248i 0.194073 0.975669i
\(638\) −2.21904 3.25714i −0.0878525 0.128952i
\(639\) 0.0762898 0.00301798
\(640\) −14.4683 29.5185i −0.571909 1.16682i
\(641\) −4.03696 −0.159450 −0.0797251 0.996817i \(-0.525404\pi\)
−0.0797251 + 0.996817i \(0.525404\pi\)
\(642\) −8.22163 12.0679i −0.324482 0.476281i
\(643\) −9.16459 + 46.0735i −0.361416 + 1.81696i 0.188889 + 0.981998i \(0.439511\pi\)
−0.550305 + 0.834964i \(0.685489\pi\)
\(644\) 6.82646 + 2.68463i 0.269000 + 0.105789i
\(645\) −10.2571 6.85355i −0.403871 0.269858i
\(646\) 5.00194 2.12484i 0.196799 0.0836007i
\(647\) 5.34972 2.21593i 0.210319 0.0871170i −0.275037 0.961434i \(-0.588690\pi\)
0.485356 + 0.874317i \(0.338690\pi\)
\(648\) 2.39334 + 1.50729i 0.0940192 + 0.0592121i
\(649\) −58.0162 24.0311i −2.27733 0.943303i
\(650\) 0.196684 + 21.8419i 0.00771457 + 0.856711i
\(651\) 10.8506 2.15832i 0.425269 0.0845913i
\(652\) −8.21508 + 12.7874i −0.321727 + 0.500793i
\(653\) 24.7300 16.5241i 0.967761 0.646637i 0.0320803 0.999485i \(-0.489787\pi\)
0.935681 + 0.352848i \(0.114787\pi\)
\(654\) 17.8306 + 11.6831i 0.697230 + 0.456847i
\(655\) 26.6742 26.6742i 1.04225 1.04225i
\(656\) 33.6865 15.3971i 1.31524 0.601154i
\(657\) 8.15873 + 8.15873i 0.318302 + 0.318302i
\(658\) 0.517450 + 2.48427i 0.0201723 + 0.0968470i
\(659\) −14.1757 21.2154i −0.552207 0.826435i 0.445418 0.895323i \(-0.353055\pi\)
−0.997624 + 0.0688873i \(0.978055\pi\)
\(660\) 17.3032 + 24.9128i 0.673525 + 0.969731i
\(661\) 0.276376 + 1.38944i 0.0107498 + 0.0540429i 0.985788 0.167995i \(-0.0537292\pi\)
−0.975038 + 0.222038i \(0.928729\pi\)
\(662\) −9.80985 9.63475i −0.381271 0.374465i
\(663\) 1.25484 3.02946i 0.0487341 0.117654i
\(664\) −33.1518 31.4074i −1.28654 1.21884i
\(665\) −6.92616 16.7212i −0.268585 0.648421i
\(666\) 8.46940 + 3.41912i 0.328183 + 0.132488i
\(667\) 0.918311 1.37435i 0.0355571 0.0532150i
\(668\) 22.3905 0.403280i 0.866314 0.0156034i
\(669\) −16.5891 3.29978i −0.641372 0.127577i
\(670\) 8.15753 + 1.54641i 0.315153 + 0.0597429i
\(671\) 65.9944i 2.54769i
\(672\) 6.69510 0.301638i 0.258269 0.0116359i
\(673\) 46.4813i 1.79172i 0.444333 + 0.895862i \(0.353441\pi\)
−0.444333 + 0.895862i \(0.646559\pi\)
\(674\) −3.70458 + 19.5422i −0.142695 + 0.752739i
\(675\) −3.37659 0.671645i −0.129965 0.0258516i
\(676\) 10.2590 + 9.89598i 0.394577 + 0.380615i
\(677\) −22.5183 + 33.7010i −0.865449 + 1.29524i 0.0887466 + 0.996054i \(0.471714\pi\)
−0.954196 + 0.299182i \(0.903286\pi\)
\(678\) 0.0938390 0.232446i 0.00360387 0.00892702i
\(679\) −1.78584 4.31139i −0.0685341 0.165456i
\(680\) −2.44778 5.48549i −0.0938681 0.210359i
\(681\) 5.30264 12.8017i 0.203198 0.490562i
\(682\) 48.2999 49.1776i 1.84950 1.88311i
\(683\) −3.55473 17.8708i −0.136018 0.683809i −0.987270 0.159052i \(-0.949156\pi\)
0.851252 0.524757i \(-0.175844\pi\)
\(684\) −10.3485 1.86536i −0.395683 0.0713240i
\(685\) 3.91224 + 5.85507i 0.149479 + 0.223711i
\(686\) 20.6615 4.30358i 0.788859 0.164312i
\(687\) 9.60514 + 9.60514i 0.366459 + 0.366459i
\(688\) −8.92022 + 14.4508i −0.340080 + 0.550932i
\(689\) −12.2875 + 12.2875i −0.468115 + 0.468115i
\(690\) −6.97197 + 10.6405i −0.265418 + 0.405076i
\(691\) −29.5073 + 19.7162i −1.12251 + 0.750038i −0.971157 0.238442i \(-0.923363\pi\)
−0.151354 + 0.988480i \(0.548363\pi\)
\(692\) −31.1246 + 6.77593i −1.18318 + 0.257582i
\(693\) −6.06499 + 1.20640i −0.230390 + 0.0458274i
\(694\) 0.611137 0.00550321i 0.0231985 0.000208899i
\(695\) −8.09364 3.35249i −0.307009 0.127167i
\(696\) 0.254505 1.48857i 0.00964698 0.0564240i
\(697\) 6.25271 2.58996i 0.236838 0.0981016i
\(698\) −11.2313 26.4389i −0.425112 1.00073i
\(699\) −14.8346 9.91218i −0.561097 0.374913i
\(700\) −7.47909 + 3.25695i −0.282683 + 0.123101i
\(701\) −0.0853266 + 0.428966i −0.00322274 + 0.0162018i −0.982363 0.186983i \(-0.940129\pi\)
0.979140 + 0.203185i \(0.0651291\pi\)
\(702\) −5.24339 + 3.57223i −0.197899 + 0.134825i
\(703\) −33.9556 −1.28066
\(704\) 33.4158 25.0397i 1.25941 0.943719i
\(705\) −4.40074 −0.165742
\(706\) −10.8335 + 7.38065i −0.407723 + 0.277774i
\(707\) 2.55351 12.8373i 0.0960345 0.482798i
\(708\) −9.60692 22.0609i −0.361050 0.829098i
\(709\) 39.9112 + 26.6678i 1.49890 + 1.00153i 0.990057 + 0.140669i \(0.0449254\pi\)
0.508840 + 0.860861i \(0.330075\pi\)
\(710\) 0.122570 + 0.288535i 0.00459998 + 0.0108285i
\(711\) 5.00458 2.07296i 0.187686 0.0777422i
\(712\) 24.1322 + 34.0859i 0.904392 + 1.27742i
\(713\) 26.7082 + 11.0629i 1.00023 + 0.414308i
\(714\) 1.22456 0.0110270i 0.0458280 0.000412675i
\(715\) −66.7328 + 13.2740i −2.49566 + 0.496419i
\(716\) 2.11517 + 9.71584i 0.0790477 + 0.363098i
\(717\) 11.0100 7.35667i 0.411178 0.274740i
\(718\) −5.11907 + 7.81262i −0.191042 + 0.291564i
\(719\) 3.35792 3.35792i 0.125229 0.125229i −0.641714 0.766944i \(-0.721777\pi\)
0.766944 + 0.641714i \(0.221777\pi\)
\(720\) −1.85548 + 11.4735i −0.0691498 + 0.427592i
\(721\) 6.20021 + 6.20021i 0.230908 + 0.230908i
\(722\) 11.9656 2.49231i 0.445313 0.0927543i
\(723\) −11.1693 16.7160i −0.415389 0.621674i
\(724\) −7.64673 + 42.4216i −0.284188 + 1.57659i
\(725\) 0.358608 + 1.80284i 0.0133184 + 0.0669559i
\(726\) −16.0969 + 16.3894i −0.597412 + 0.608269i
\(727\) 2.05853 4.96973i 0.0763467 0.184317i −0.881098 0.472933i \(-0.843195\pi\)
0.957445 + 0.288616i \(0.0931951\pi\)
\(728\) −5.37578 + 14.0394i −0.199240 + 0.520333i
\(729\) −0.382683 0.923880i −0.0141735 0.0342178i
\(730\) −17.7489 + 43.9652i −0.656915 + 1.62722i
\(731\) −1.72399 + 2.58013i −0.0637640 + 0.0954295i
\(732\) −17.5559 + 18.2000i −0.648886 + 0.672690i
\(733\) −11.4634 2.28021i −0.423410 0.0842215i −0.0212138 0.999775i \(-0.506753\pi\)
−0.402196 + 0.915553i \(0.631753\pi\)
\(734\) 4.51167 23.7997i 0.166529 0.878464i
\(735\) 16.2611i 0.599800i
\(736\) 14.9842 + 9.06414i 0.552323 + 0.334109i
\(737\) 10.5464i 0.388480i
\(738\) −12.8659 2.43897i −0.473602 0.0897797i
\(739\) 31.2495 + 6.21591i 1.14953 + 0.228656i 0.732845 0.680395i \(-0.238192\pi\)
0.416685 + 0.909051i \(0.363192\pi\)
\(740\) 0.675875 + 37.5253i 0.0248457 + 1.37946i
\(741\) 13.1044 19.6121i 0.481403 0.720470i
\(742\) −6.01782 2.42941i −0.220921 0.0891865i
\(743\) 2.28742 + 5.52232i 0.0839173 + 0.202594i 0.960268 0.279079i \(-0.0900292\pi\)
−0.876351 + 0.481673i \(0.840029\pi\)
\(744\) 26.4025 0.713407i 0.967962 0.0261548i
\(745\) −21.3972 + 51.6573i −0.783932 + 1.89258i
\(746\) 27.7877 + 27.2917i 1.01738 + 0.999219i
\(747\) 3.14987 + 15.8355i 0.115248 + 0.579389i
\(748\) 6.26674 4.35256i 0.229135 0.159145i
\(749\) 6.79625 + 10.1713i 0.248329 + 0.371651i
\(750\) 1.30486 + 6.26465i 0.0476469 + 0.228753i
\(751\) −18.9675 18.9675i −0.692133 0.692133i 0.270568 0.962701i \(-0.412788\pi\)
−0.962701 + 0.270568i \(0.912788\pi\)
\(752\) 0.218160 + 6.05428i 0.00795549 + 0.220777i
\(753\) −4.78502 + 4.78502i −0.174376 + 0.174376i
\(754\) 2.83347 + 1.85658i 0.103189 + 0.0676127i
\(755\) −27.7924 + 18.5703i −1.01147 + 0.675843i
\(756\) −1.99353 1.28072i −0.0725041 0.0465792i
\(757\) 22.5808 4.49159i 0.820712 0.163250i 0.233162 0.972438i \(-0.425093\pi\)
0.587550 + 0.809188i \(0.300093\pi\)
\(758\) −0.276988 30.7598i −0.0100607 1.11725i
\(759\) −14.9286 6.18364i −0.541875 0.224452i
\(760\) −9.57129 42.1357i −0.347187 1.52842i
\(761\) −2.72276 + 1.12780i −0.0986999 + 0.0408829i −0.431487 0.902119i \(-0.642011\pi\)
0.332787 + 0.943002i \(0.392011\pi\)
\(762\) 14.5352 6.17461i 0.526556 0.223682i
\(763\) −14.8486 9.92149i −0.537554 0.359182i
\(764\) −7.57034 + 19.2498i −0.273885 + 0.696433i
\(765\) −0.414322 + 2.08294i −0.0149798 + 0.0753087i
\(766\) −2.11819 3.10913i −0.0765335 0.112337i
\(767\) 53.9746 1.94891
\(768\) 15.8765 + 1.98388i 0.572895 + 0.0715872i
\(769\) 22.0370 0.794676 0.397338 0.917672i \(-0.369934\pi\)
0.397338 + 0.917672i \(0.369934\pi\)
\(770\) −14.3070 21.0001i −0.515588 0.756790i
\(771\) 3.71932 18.6983i 0.133948 0.673402i
\(772\) −12.8653 + 32.7139i −0.463034 + 1.17740i
\(773\) 6.95444 + 4.64681i 0.250134 + 0.167134i 0.674316 0.738443i \(-0.264438\pi\)
−0.424182 + 0.905577i \(0.639438\pi\)