Properties

Label 144.2.u.a.11.5
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.5
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17890 - 0.781149i) q^{2} +(-1.69048 - 0.377192i) q^{3} +(0.779612 + 1.84179i) q^{4} +(1.05401 + 0.282421i) q^{5} +(1.69826 + 1.76519i) q^{6} +(-1.93586 + 3.35301i) q^{7} +(0.519632 - 2.78028i) q^{8} +(2.71545 + 1.27527i) q^{9} +O(q^{10})\) \(q+(-1.17890 - 0.781149i) q^{2} +(-1.69048 - 0.377192i) q^{3} +(0.779612 + 1.84179i) q^{4} +(1.05401 + 0.282421i) q^{5} +(1.69826 + 1.76519i) q^{6} +(-1.93586 + 3.35301i) q^{7} +(0.519632 - 2.78028i) q^{8} +(2.71545 + 1.27527i) q^{9} +(-1.02196 - 1.15629i) q^{10} +(3.53182 - 0.946349i) q^{11} +(-0.623208 - 3.40758i) q^{12} +(3.87946 + 1.03950i) q^{13} +(4.90139 - 2.44067i) q^{14} +(-1.67526 - 0.874993i) q^{15} +(-2.78441 + 2.87177i) q^{16} +1.55026i q^{17} +(-2.20507 - 3.62459i) q^{18} +(4.06175 + 4.06175i) q^{19} +(0.301557 + 2.16145i) q^{20} +(4.53727 - 4.93801i) q^{21} +(-4.90291 - 1.64323i) q^{22} +(-3.86595 + 2.23201i) q^{23} +(-1.92713 + 4.50402i) q^{24} +(-3.29895 - 1.90465i) q^{25} +(-3.76149 - 4.25590i) q^{26} +(-4.10940 - 3.18007i) q^{27} +(-7.68478 - 0.951413i) q^{28} +(-4.28493 + 1.14814i) q^{29} +(1.29146 + 2.34016i) q^{30} +(1.85935 - 1.07349i) q^{31} +(5.52582 - 1.21049i) q^{32} +(-6.32743 + 0.267609i) q^{33} +(1.21099 - 1.82761i) q^{34} +(-2.98738 + 2.98738i) q^{35} +(-0.231793 + 5.99552i) q^{36} +(6.04318 + 6.04318i) q^{37} +(-1.61556 - 7.96122i) q^{38} +(-6.16606 - 3.22055i) q^{39} +(1.33291 - 2.78370i) q^{40} +(1.59725 + 2.76652i) q^{41} +(-9.20631 + 2.27714i) q^{42} +(-1.47814 - 5.51650i) q^{43} +(4.49643 + 5.76711i) q^{44} +(2.50195 + 2.11105i) q^{45} +(6.30110 + 0.388570i) q^{46} +(0.0494357 - 0.0856252i) q^{47} +(5.79020 - 3.80441i) q^{48} +(-3.99512 - 6.91976i) q^{49} +(2.40132 + 4.82236i) q^{50} +(0.584747 - 2.62069i) q^{51} +(1.10993 + 7.95557i) q^{52} +(-1.72094 + 1.72094i) q^{53} +(2.36046 + 6.95904i) q^{54} +3.98985 q^{55} +(8.31639 + 7.12458i) q^{56} +(-5.33425 - 8.39837i) q^{57} +(5.94838 + 1.99362i) q^{58} +(3.58531 - 13.3806i) q^{59} +(0.305506 - 3.76764i) q^{60} +(-2.33005 - 8.69586i) q^{61} +(-3.03054 - 0.186885i) q^{62} +(-9.53275 + 6.63619i) q^{63} +(-7.45997 - 2.88945i) q^{64} +(3.79542 + 2.19129i) q^{65} +(7.66846 + 4.62719i) q^{66} +(0.251689 - 0.939315i) q^{67} +(-2.85527 + 1.20860i) q^{68} +(7.37721 - 2.31496i) q^{69} +(5.85542 - 1.18823i) q^{70} +7.11471i q^{71} +(4.95666 - 6.88706i) q^{72} -10.4116i q^{73} +(-2.40368 - 11.8449i) q^{74} +(4.85839 + 4.46411i) q^{75} +(-4.31432 + 10.6475i) q^{76} +(-3.66400 + 13.6742i) q^{77} +(4.75344 + 8.61333i) q^{78} +(14.2402 + 8.22160i) q^{79} +(-3.74585 + 2.24050i) q^{80} +(5.74736 + 6.92588i) q^{81} +(0.278065 - 4.50914i) q^{82} +(-4.02380 - 15.0170i) q^{83} +(12.6321 + 4.50698i) q^{84} +(-0.437828 + 1.63399i) q^{85} +(-2.56663 + 7.65806i) q^{86} +(7.67666 - 0.324672i) q^{87} +(-0.795872 - 10.3112i) q^{88} -11.2398 q^{89} +(-1.30050 - 4.44312i) q^{90} +(-10.9956 + 10.9956i) q^{91} +(-7.12483 - 5.38018i) q^{92} +(-3.54810 + 1.11339i) q^{93} +(-0.125166 + 0.0623269i) q^{94} +(3.13400 + 5.42825i) q^{95} +(-9.79789 - 0.0379930i) q^{96} +(0.0532804 - 0.0922843i) q^{97} +(-0.695511 + 11.2785i) q^{98} +(10.7973 + 1.93427i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17890 0.781149i −0.833608 0.552356i
\(3\) −1.69048 0.377192i −0.976000 0.217772i
\(4\) 0.779612 + 1.84179i 0.389806 + 0.920897i
\(5\) 1.05401 + 0.282421i 0.471368 + 0.126303i 0.486681 0.873580i \(-0.338208\pi\)
−0.0153123 + 0.999883i \(0.504874\pi\)
\(6\) 1.69826 + 1.76519i 0.693314 + 0.720636i
\(7\) −1.93586 + 3.35301i −0.731687 + 1.26732i 0.224475 + 0.974480i \(0.427933\pi\)
−0.956162 + 0.292839i \(0.905400\pi\)
\(8\) 0.519632 2.78028i 0.183718 0.982979i
\(9\) 2.71545 + 1.27527i 0.905151 + 0.425091i
\(10\) −1.02196 1.15629i −0.323172 0.365650i
\(11\) 3.53182 0.946349i 1.06488 0.285335i 0.316495 0.948594i \(-0.397494\pi\)
0.748390 + 0.663259i \(0.230827\pi\)
\(12\) −0.623208 3.40758i −0.179905 0.983684i
\(13\) 3.87946 + 1.03950i 1.07597 + 0.288305i 0.752943 0.658085i \(-0.228633\pi\)
0.323025 + 0.946390i \(0.395300\pi\)
\(14\) 4.90139 2.44067i 1.30995 0.652296i
\(15\) −1.67526 0.874993i −0.432550 0.225922i
\(16\) −2.78441 + 2.87177i −0.696103 + 0.717942i
\(17\) 1.55026i 0.375994i 0.982170 + 0.187997i \(0.0601995\pi\)
−0.982170 + 0.187997i \(0.939800\pi\)
\(18\) −2.20507 3.62459i −0.519740 0.854325i
\(19\) 4.06175 + 4.06175i 0.931829 + 0.931829i 0.997820 0.0659916i \(-0.0210211\pi\)
−0.0659916 + 0.997820i \(0.521021\pi\)
\(20\) 0.301557 + 2.16145i 0.0674302 + 0.483315i
\(21\) 4.53727 4.93801i 0.990113 1.07756i
\(22\) −4.90291 1.64323i −1.04530 0.350338i
\(23\) −3.86595 + 2.23201i −0.806106 + 0.465405i −0.845602 0.533814i \(-0.820758\pi\)
0.0394958 + 0.999220i \(0.487425\pi\)
\(24\) −1.92713 + 4.50402i −0.393374 + 0.919379i
\(25\) −3.29895 1.90465i −0.659790 0.380930i
\(26\) −3.76149 4.25590i −0.737690 0.834651i
\(27\) −4.10940 3.18007i −0.790854 0.612005i
\(28\) −7.68478 0.951413i −1.45229 0.179800i
\(29\) −4.28493 + 1.14814i −0.795691 + 0.213205i −0.633691 0.773586i \(-0.718461\pi\)
−0.162000 + 0.986791i \(0.551794\pi\)
\(30\) 1.29146 + 2.34016i 0.235788 + 0.427252i
\(31\) 1.85935 1.07349i 0.333948 0.192805i −0.323644 0.946179i \(-0.604908\pi\)
0.657593 + 0.753374i \(0.271575\pi\)
\(32\) 5.52582 1.21049i 0.976837 0.213986i
\(33\) −6.32743 + 0.267609i −1.10146 + 0.0465847i
\(34\) 1.21099 1.82761i 0.207683 0.313432i
\(35\) −2.98738 + 2.98738i −0.504960 + 0.504960i
\(36\) −0.231793 + 5.99552i −0.0386321 + 0.999254i
\(37\) 6.04318 + 6.04318i 0.993493 + 0.993493i 0.999979 0.00648560i \(-0.00206445\pi\)
−0.00648560 + 0.999979i \(0.502064\pi\)
\(38\) −1.61556 7.96122i −0.262079 1.29148i
\(39\) −6.16606 3.22055i −0.987360 0.515702i
\(40\) 1.33291 2.78370i 0.210752 0.440141i
\(41\) 1.59725 + 2.76652i 0.249449 + 0.432058i 0.963373 0.268165i \(-0.0864173\pi\)
−0.713924 + 0.700223i \(0.753084\pi\)
\(42\) −9.20631 + 2.27714i −1.42056 + 0.351370i
\(43\) −1.47814 5.51650i −0.225415 0.841259i −0.982238 0.187639i \(-0.939916\pi\)
0.756823 0.653619i \(-0.226750\pi\)
\(44\) 4.49643 + 5.76711i 0.677862 + 0.869424i
\(45\) 2.50195 + 2.11105i 0.372969 + 0.314697i
\(46\) 6.30110 + 0.388570i 0.929046 + 0.0572915i
\(47\) 0.0494357 0.0856252i 0.00721094 0.0124897i −0.862397 0.506232i \(-0.831038\pi\)
0.869608 + 0.493742i \(0.164371\pi\)
\(48\) 5.79020 3.80441i 0.835744 0.549119i
\(49\) −3.99512 6.91976i −0.570732 0.988537i
\(50\) 2.40132 + 4.82236i 0.339597 + 0.681985i
\(51\) 0.584747 2.62069i 0.0818810 0.366970i
\(52\) 1.10993 + 7.95557i 0.153920 + 1.10324i
\(53\) −1.72094 + 1.72094i −0.236389 + 0.236389i −0.815353 0.578964i \(-0.803457\pi\)
0.578964 + 0.815353i \(0.303457\pi\)
\(54\) 2.36046 + 6.95904i 0.321218 + 0.947005i
\(55\) 3.98985 0.537991
\(56\) 8.31639 + 7.12458i 1.11132 + 0.952062i
\(57\) −5.33425 8.39837i −0.706538 1.11239i
\(58\) 5.94838 + 1.99362i 0.781060 + 0.261776i
\(59\) 3.58531 13.3806i 0.466768 1.74200i −0.184192 0.982890i \(-0.558967\pi\)
0.650960 0.759112i \(-0.274367\pi\)
\(60\) 0.305506 3.76764i 0.0394407 0.486400i
\(61\) −2.33005 8.69586i −0.298332 1.11339i −0.938535 0.345184i \(-0.887816\pi\)
0.640203 0.768206i \(-0.278850\pi\)
\(62\) −3.03054 0.186885i −0.384879 0.0237344i
\(63\) −9.53275 + 6.63619i −1.20101 + 0.836081i
\(64\) −7.45997 2.88945i −0.932496 0.361181i
\(65\) 3.79542 + 2.19129i 0.470764 + 0.271796i
\(66\) 7.66846 + 4.62719i 0.943922 + 0.569567i
\(67\) 0.251689 0.939315i 0.0307487 0.114756i −0.948846 0.315740i \(-0.897747\pi\)
0.979594 + 0.200984i \(0.0644140\pi\)
\(68\) −2.85527 + 1.20860i −0.346252 + 0.146565i
\(69\) 7.37721 2.31496i 0.888111 0.278688i
\(70\) 5.85542 1.18823i 0.699856 0.142021i
\(71\) 7.11471i 0.844361i 0.906512 + 0.422180i \(0.138735\pi\)
−0.906512 + 0.422180i \(0.861265\pi\)
\(72\) 4.95666 6.88706i 0.584148 0.811647i
\(73\) 10.4116i 1.21859i −0.792945 0.609293i \(-0.791453\pi\)
0.792945 0.609293i \(-0.208547\pi\)
\(74\) −2.40368 11.8449i −0.279422 1.37695i
\(75\) 4.85839 + 4.46411i 0.560999 + 0.515471i
\(76\) −4.31432 + 10.6475i −0.494886 + 1.22135i
\(77\) −3.66400 + 13.6742i −0.417552 + 1.55832i
\(78\) 4.75344 + 8.61333i 0.538221 + 0.975267i
\(79\) 14.2402 + 8.22160i 1.60215 + 0.925003i 0.991056 + 0.133446i \(0.0426041\pi\)
0.611095 + 0.791557i \(0.290729\pi\)
\(80\) −3.74585 + 2.24050i −0.418799 + 0.250495i
\(81\) 5.74736 + 6.92588i 0.638595 + 0.769543i
\(82\) 0.278065 4.50914i 0.0307072 0.497951i
\(83\) −4.02380 15.0170i −0.441669 1.64833i −0.724584 0.689186i \(-0.757968\pi\)
0.282915 0.959145i \(-0.408698\pi\)
\(84\) 12.6321 + 4.50698i 1.37828 + 0.491752i
\(85\) −0.437828 + 1.63399i −0.0474891 + 0.177232i
\(86\) −2.56663 + 7.65806i −0.276767 + 0.825789i
\(87\) 7.67666 0.324672i 0.823025 0.0348085i
\(88\) −0.795872 10.3112i −0.0848402 1.09918i
\(89\) −11.2398 −1.19142 −0.595710 0.803200i \(-0.703129\pi\)
−0.595710 + 0.803200i \(0.703129\pi\)
\(90\) −1.30050 4.44312i −0.137085 0.468346i
\(91\) −10.9956 + 10.9956i −1.15265 + 1.15265i
\(92\) −7.12483 5.38018i −0.742815 0.560923i
\(93\) −3.54810 + 1.11339i −0.367921 + 0.115453i
\(94\) −0.125166 + 0.0623269i −0.0129099 + 0.00642852i
\(95\) 3.13400 + 5.42825i 0.321542 + 0.556927i
\(96\) −9.79789 0.0379930i −0.999992 0.00387764i
\(97\) 0.0532804 0.0922843i 0.00540980 0.00937005i −0.863308 0.504678i \(-0.831611\pi\)
0.868718 + 0.495308i \(0.164945\pi\)
\(98\) −0.695511 + 11.2785i −0.0702572 + 1.13930i
\(99\) 10.7973 + 1.93427i 1.08517 + 0.194402i
\(100\) 0.936073 7.56087i 0.0936073 0.756087i
\(101\) −1.12101 4.18366i −0.111545 0.416290i 0.887461 0.460883i \(-0.152467\pi\)
−0.999005 + 0.0445936i \(0.985801\pi\)
\(102\) −2.73651 + 2.63276i −0.270955 + 0.260682i
\(103\) −1.25063 2.16615i −0.123228 0.213437i 0.797811 0.602908i \(-0.205991\pi\)
−0.921039 + 0.389470i \(0.872658\pi\)
\(104\) 4.90599 10.2458i 0.481072 1.00469i
\(105\) 6.17693 3.92330i 0.602807 0.382874i
\(106\) 3.37312 0.684504i 0.327626 0.0664849i
\(107\) 6.01074 + 6.01074i 0.581080 + 0.581080i 0.935200 0.354120i \(-0.115220\pi\)
−0.354120 + 0.935200i \(0.615220\pi\)
\(108\) 2.65331 10.0479i 0.255314 0.966858i
\(109\) 0.880973 0.880973i 0.0843819 0.0843819i −0.663656 0.748038i \(-0.730996\pi\)
0.748038 + 0.663656i \(0.230996\pi\)
\(110\) −4.70364 3.11667i −0.448474 0.297163i
\(111\) −7.93645 12.4953i −0.753294 1.18600i
\(112\) −4.23883 14.8955i −0.400532 1.40749i
\(113\) 2.13357 1.23182i 0.200709 0.115880i −0.396277 0.918131i \(-0.629698\pi\)
0.596986 + 0.802251i \(0.296365\pi\)
\(114\) −0.271834 + 14.0677i −0.0254595 + 1.31756i
\(115\) −4.70512 + 1.26073i −0.438755 + 0.117564i
\(116\) −5.45522 6.99685i −0.506505 0.649641i
\(117\) 9.20884 + 7.77008i 0.851358 + 0.718344i
\(118\) −14.6790 + 12.9737i −1.35131 + 1.19433i
\(119\) −5.19805 3.00110i −0.476504 0.275110i
\(120\) −3.30325 + 4.20302i −0.301544 + 0.383682i
\(121\) 2.05191 1.18467i 0.186538 0.107698i
\(122\) −4.04587 + 12.0717i −0.366296 + 1.09292i
\(123\) −1.65661 5.27922i −0.149372 0.476011i
\(124\) 3.42672 + 2.58762i 0.307729 + 0.232375i
\(125\) −6.79716 6.79716i −0.607957 0.607957i
\(126\) 16.4220 0.376907i 1.46299 0.0335776i
\(127\) 3.76697i 0.334264i −0.985934 0.167132i \(-0.946549\pi\)
0.985934 0.167132i \(-0.0534507\pi\)
\(128\) 6.53746 + 9.23372i 0.577836 + 0.816153i
\(129\) 0.417989 + 9.88309i 0.0368019 + 0.870157i
\(130\) −2.76270 5.54810i −0.242305 0.486600i
\(131\) 1.28665 + 0.344757i 0.112415 + 0.0301216i 0.314588 0.949228i \(-0.398134\pi\)
−0.202173 + 0.979350i \(0.564800\pi\)
\(132\) −5.42582 11.4452i −0.472257 0.996177i
\(133\) −21.4821 + 5.75610i −1.86273 + 0.499117i
\(134\) −1.03046 + 0.910752i −0.0890183 + 0.0786770i
\(135\) −3.43323 4.51241i −0.295485 0.388367i
\(136\) 4.31017 + 0.805566i 0.369594 + 0.0690767i
\(137\) −5.59673 + 9.69382i −0.478161 + 0.828199i −0.999687 0.0250365i \(-0.992030\pi\)
0.521526 + 0.853236i \(0.325363\pi\)
\(138\) −10.5053 3.03360i −0.894272 0.258237i
\(139\) −3.01559 0.808026i −0.255779 0.0685359i 0.128651 0.991690i \(-0.458935\pi\)
−0.384430 + 0.923154i \(0.625602\pi\)
\(140\) −7.83114 3.17315i −0.661852 0.268180i
\(141\) −0.115867 + 0.126101i −0.00975779 + 0.0106196i
\(142\) 5.55765 8.38753i 0.466388 0.703866i
\(143\) 14.6853 1.22805
\(144\) −11.2232 + 4.24726i −0.935269 + 0.353939i
\(145\) −4.84062 −0.401992
\(146\) −8.13301 + 12.2742i −0.673093 + 1.01582i
\(147\) 4.14360 + 13.2047i 0.341759 + 1.08910i
\(148\) −6.41897 + 15.8416i −0.527636 + 1.30217i
\(149\) −14.4685 3.87683i −1.18531 0.317602i −0.388277 0.921543i \(-0.626930\pi\)
−0.797029 + 0.603941i \(0.793596\pi\)
\(150\) −2.24042 9.05787i −0.182930 0.739572i
\(151\) −0.301388 + 0.522019i −0.0245266 + 0.0424813i −0.878028 0.478609i \(-0.841141\pi\)
0.853502 + 0.521090i \(0.174475\pi\)
\(152\) 13.4034 9.18220i 1.08716 0.744775i
\(153\) −1.97701 + 4.20966i −0.159832 + 0.340331i
\(154\) 15.0011 13.2584i 1.20882 1.06840i
\(155\) 2.26295 0.606355i 0.181764 0.0487036i
\(156\) 1.12446 13.8674i 0.0900293 1.11028i
\(157\) 6.72554 + 1.80210i 0.536756 + 0.143823i 0.517006 0.855981i \(-0.327046\pi\)
0.0197500 + 0.999805i \(0.493713\pi\)
\(158\) −10.3655 20.8162i −0.824636 1.65605i
\(159\) 3.55833 2.26009i 0.282194 0.179237i
\(160\) 6.16615 + 0.284744i 0.487477 + 0.0225110i
\(161\) 17.2834i 1.36212i
\(162\) −1.36541 12.6545i −0.107277 0.994229i
\(163\) 7.73897 + 7.73897i 0.606163 + 0.606163i 0.941941 0.335778i \(-0.108999\pi\)
−0.335778 + 0.941941i \(0.608999\pi\)
\(164\) −3.85012 + 5.09862i −0.300644 + 0.398135i
\(165\) −6.74477 1.50494i −0.525079 0.117159i
\(166\) −6.98687 + 20.8467i −0.542287 + 1.61802i
\(167\) 16.3533 9.44158i 1.26546 0.730611i 0.291331 0.956622i \(-0.405902\pi\)
0.974125 + 0.226011i \(0.0725684\pi\)
\(168\) −11.3714 15.1808i −0.877320 1.17123i
\(169\) 2.71133 + 1.56539i 0.208564 + 0.120414i
\(170\) 1.79255 1.58431i 0.137482 0.121511i
\(171\) 5.84964 + 16.2093i 0.447333 + 1.23956i
\(172\) 9.00789 7.02316i 0.686845 0.535511i
\(173\) 16.3589 4.38336i 1.24375 0.333261i 0.423829 0.905742i \(-0.360686\pi\)
0.819918 + 0.572481i \(0.194019\pi\)
\(174\) −9.30364 5.61386i −0.705307 0.425586i
\(175\) 12.7726 7.37428i 0.965519 0.557443i
\(176\) −7.11635 + 12.7776i −0.536415 + 0.963148i
\(177\) −11.1080 + 21.2673i −0.834925 + 1.59854i
\(178\) 13.2506 + 8.77998i 0.993177 + 0.658088i
\(179\) 4.85114 4.85114i 0.362591 0.362591i −0.502175 0.864766i \(-0.667467\pi\)
0.864766 + 0.502175i \(0.167467\pi\)
\(180\) −1.93758 + 6.25388i −0.144418 + 0.466137i
\(181\) −1.98842 1.98842i −0.147798 0.147798i 0.629336 0.777134i \(-0.283327\pi\)
−0.777134 + 0.629336i \(0.783327\pi\)
\(182\) 21.5518 4.37349i 1.59753 0.324185i
\(183\) 0.658891 + 15.5791i 0.0487066 + 1.15164i
\(184\) 4.19674 + 11.9083i 0.309388 + 0.877888i
\(185\) 4.66286 + 8.07631i 0.342820 + 0.593782i
\(186\) 5.05258 + 1.45902i 0.370473 + 0.106981i
\(187\) 1.46709 + 5.47525i 0.107284 + 0.400390i
\(188\) 0.196245 + 0.0242960i 0.0143126 + 0.00177197i
\(189\) 18.6180 7.62267i 1.35426 0.554468i
\(190\) 0.545598 8.84749i 0.0395819 0.641864i
\(191\) −10.1997 + 17.6664i −0.738025 + 1.27830i 0.215358 + 0.976535i \(0.430908\pi\)
−0.953383 + 0.301762i \(0.902425\pi\)
\(192\) 11.5211 + 7.69840i 0.831460 + 0.555584i
\(193\) −8.30403 14.3830i −0.597737 1.03531i −0.993154 0.116809i \(-0.962733\pi\)
0.395417 0.918502i \(-0.370600\pi\)
\(194\) −0.134900 + 0.0671741i −0.00968526 + 0.00482282i
\(195\) −5.58955 5.13593i −0.400276 0.367792i
\(196\) 9.63013 12.7529i 0.687866 0.910923i
\(197\) 2.03806 2.03806i 0.145206 0.145206i −0.630767 0.775972i \(-0.717260\pi\)
0.775972 + 0.630767i \(0.217260\pi\)
\(198\) −11.2180 10.7147i −0.797231 0.761457i
\(199\) −9.19698 −0.651956 −0.325978 0.945377i \(-0.605694\pi\)
−0.325978 + 0.945377i \(0.605694\pi\)
\(200\) −7.00971 + 8.18230i −0.495661 + 0.578576i
\(201\) −0.779777 + 1.49296i −0.0550012 + 0.105305i
\(202\) −1.94651 + 5.80779i −0.136956 + 0.408635i
\(203\) 4.44529 16.5901i 0.311999 1.16439i
\(204\) 5.28265 0.966136i 0.369859 0.0676431i
\(205\) 0.902196 + 3.36704i 0.0630121 + 0.235164i
\(206\) −0.217722 + 3.53061i −0.0151694 + 0.245989i
\(207\) −13.3442 + 1.13077i −0.927487 + 0.0785937i
\(208\) −13.7872 + 8.24652i −0.955971 + 0.571793i
\(209\) 18.1892 + 10.5015i 1.25817 + 0.726407i
\(210\) −10.3467 0.199931i −0.713988 0.0137966i
\(211\) 3.99524 14.9104i 0.275043 1.02648i −0.680769 0.732498i \(-0.738354\pi\)
0.955812 0.293978i \(-0.0949792\pi\)
\(212\) −4.51127 1.82795i −0.309836 0.125544i
\(213\) 2.68361 12.0273i 0.183878 0.824096i
\(214\) −2.39078 11.7813i −0.163430 0.805356i
\(215\) 6.23192i 0.425013i
\(216\) −10.9769 + 9.77282i −0.746882 + 0.664956i
\(217\) 8.31254i 0.564292i
\(218\) −1.72675 + 0.350408i −0.116950 + 0.0237326i
\(219\) −3.92718 + 17.6006i −0.265374 + 1.18934i
\(220\) 3.11053 + 7.34848i 0.209712 + 0.495435i
\(221\) −1.61150 + 6.01418i −0.108401 + 0.404558i
\(222\) −0.404442 + 20.9303i −0.0271444 + 1.40475i
\(223\) −15.1760 8.76186i −1.01626 0.586738i −0.103241 0.994656i \(-0.532921\pi\)
−0.913018 + 0.407918i \(0.866255\pi\)
\(224\) −6.63845 + 20.8715i −0.443550 + 1.39453i
\(225\) −6.52919 9.37904i −0.435279 0.625270i
\(226\) −3.47750 0.214447i −0.231320 0.0142648i
\(227\) 5.24944 + 19.5912i 0.348418 + 1.30031i 0.888568 + 0.458745i \(0.151701\pi\)
−0.540150 + 0.841569i \(0.681633\pi\)
\(228\) 11.3094 16.3720i 0.748985 1.08427i
\(229\) −4.02901 + 15.0365i −0.266244 + 0.993638i 0.695240 + 0.718778i \(0.255298\pi\)
−0.961484 + 0.274860i \(0.911369\pi\)
\(230\) 6.53169 + 2.18912i 0.430687 + 0.144346i
\(231\) 11.3517 21.7340i 0.746890 1.42999i
\(232\) 0.965579 + 12.5099i 0.0633934 + 0.821318i
\(233\) 27.1681 1.77984 0.889920 0.456116i \(-0.150760\pi\)
0.889920 + 0.456116i \(0.150760\pi\)
\(234\) −4.78672 16.3536i −0.312917 1.06907i
\(235\) 0.0762882 0.0762882i 0.00497649 0.00497649i
\(236\) 27.4394 3.82824i 1.78615 0.249197i
\(237\) −20.9717 19.2698i −1.36226 1.25171i
\(238\) 3.78368 + 7.59844i 0.245259 + 0.492534i
\(239\) −2.48037 4.29612i −0.160442 0.277893i 0.774586 0.632469i \(-0.217959\pi\)
−0.935027 + 0.354576i \(0.884625\pi\)
\(240\) 7.17739 2.37461i 0.463298 0.153281i
\(241\) −4.93768 + 8.55231i −0.318064 + 0.550903i −0.980084 0.198583i \(-0.936366\pi\)
0.662020 + 0.749486i \(0.269699\pi\)
\(242\) −3.34441 0.206240i −0.214987 0.0132576i
\(243\) −7.10341 13.8759i −0.455684 0.890142i
\(244\) 14.1994 11.0709i 0.909026 0.708739i
\(245\) −2.25662 8.42181i −0.144170 0.538050i
\(246\) −2.17088 + 7.51774i −0.138410 + 0.479313i
\(247\) 11.5352 + 19.9796i 0.733968 + 1.27127i
\(248\) −2.01844 5.72733i −0.128171 0.363686i
\(249\) 1.13785 + 26.9037i 0.0721082 + 1.70495i
\(250\) 2.70358 + 13.3228i 0.170989 + 0.842607i
\(251\) −1.77292 1.77292i −0.111906 0.111906i 0.648937 0.760842i \(-0.275214\pi\)
−0.760842 + 0.648937i \(0.775214\pi\)
\(252\) −19.6543 12.3837i −1.23811 0.780100i
\(253\) −11.5416 + 11.5416i −0.725613 + 0.725613i
\(254\) −2.94256 + 4.44088i −0.184633 + 0.278646i
\(255\) 1.35647 2.59709i 0.0849454 0.162636i
\(256\) −0.494104 15.9924i −0.0308815 0.999523i
\(257\) 14.6473 8.45663i 0.913674 0.527510i 0.0320628 0.999486i \(-0.489792\pi\)
0.881612 + 0.471976i \(0.156459\pi\)
\(258\) 7.22740 11.9777i 0.449958 0.745698i
\(259\) −31.9616 + 8.56410i −1.98600 + 0.532147i
\(260\) −1.07695 + 8.69873i −0.0667893 + 0.539472i
\(261\) −13.0997 2.34673i −0.810852 0.145259i
\(262\) −1.24753 1.41150i −0.0770724 0.0872028i
\(263\) −17.9408 10.3581i −1.10627 0.638708i −0.168413 0.985717i \(-0.553864\pi\)
−0.937862 + 0.347009i \(0.887197\pi\)
\(264\) −2.54391 + 17.7311i −0.156567 + 1.09128i
\(265\) −2.29992 + 1.32786i −0.141283 + 0.0815696i
\(266\) 29.8216 + 9.99483i 1.82848 + 0.612822i
\(267\) 19.0007 + 4.23958i 1.16282 + 0.259458i
\(268\) 1.92624 0.268742i 0.117664 0.0164160i
\(269\) −15.1523 15.1523i −0.923853 0.923853i 0.0734463 0.997299i \(-0.476600\pi\)
−0.997299 + 0.0734463i \(0.976600\pi\)
\(270\) 0.522566 + 8.00155i 0.0318024 + 0.486959i
\(271\) 20.0322i 1.21687i −0.793603 0.608436i \(-0.791797\pi\)
0.793603 0.608436i \(-0.208203\pi\)
\(272\) −4.45200 4.31657i −0.269942 0.261731i
\(273\) 22.7352 14.4403i 1.37600 0.873969i
\(274\) 14.1703 7.05617i 0.856060 0.426279i
\(275\) −13.4538 3.60493i −0.811293 0.217385i
\(276\) 10.0150 + 11.7825i 0.602834 + 0.709225i
\(277\) 26.8731 7.20063i 1.61465 0.432644i 0.665226 0.746642i \(-0.268335\pi\)
0.949424 + 0.313998i \(0.101669\pi\)
\(278\) 2.92389 + 3.30821i 0.175364 + 0.198413i
\(279\) 6.41796 0.543847i 0.384233 0.0325593i
\(280\) 6.75344 + 9.85811i 0.403595 + 0.589135i
\(281\) 8.83494 15.3026i 0.527048 0.912874i −0.472455 0.881355i \(-0.656632\pi\)
0.999503 0.0315195i \(-0.0100346\pi\)
\(282\) 0.235100 0.0581508i 0.0140000 0.00346283i
\(283\) −23.5142 6.30060i −1.39777 0.374532i −0.520228 0.854028i \(-0.674153\pi\)
−0.877544 + 0.479496i \(0.840820\pi\)
\(284\) −13.1038 + 5.54671i −0.777569 + 0.329137i
\(285\) −3.25048 10.3585i −0.192542 0.613583i
\(286\) −17.3125 11.4714i −1.02371 0.678319i
\(287\) −12.3682 −0.730074
\(288\) 16.5488 + 3.75991i 0.975148 + 0.221555i
\(289\) 14.5967 0.858629
\(290\) 5.70661 + 3.78125i 0.335104 + 0.222043i
\(291\) −0.124878 + 0.135908i −0.00732050 + 0.00796706i
\(292\) 19.1760 8.11700i 1.12219 0.475012i
\(293\) −5.03527 1.34920i −0.294164 0.0788209i 0.108719 0.994073i \(-0.465325\pi\)
−0.402883 + 0.915252i \(0.631992\pi\)
\(294\) 5.42991 18.8037i 0.316679 1.09666i
\(295\) 7.55792 13.0907i 0.440039 0.762170i
\(296\) 19.9420 13.6615i 1.15911 0.794061i
\(297\) −17.5231 7.34253i −1.01679 0.426057i
\(298\) 14.0286 + 15.8725i 0.812652 + 0.919467i
\(299\) −17.3180 + 4.64033i −1.00152 + 0.268357i
\(300\) −4.43432 + 12.4284i −0.256015 + 0.717556i
\(301\) 21.3584 + 5.72296i 1.23108 + 0.329866i
\(302\) 0.763080 0.379979i 0.0439103 0.0218653i
\(303\) 0.316999 + 7.49524i 0.0182111 + 0.430590i
\(304\) −22.9740 + 0.354820i −1.31765 + 0.0203503i
\(305\) 9.82358i 0.562497i
\(306\) 5.61907 3.41844i 0.321221 0.195419i
\(307\) 2.82663 + 2.82663i 0.161324 + 0.161324i 0.783153 0.621829i \(-0.213610\pi\)
−0.621829 + 0.783153i \(0.713610\pi\)
\(308\) −28.0416 + 3.91226i −1.59782 + 0.222922i
\(309\) 1.29711 + 4.13357i 0.0737899 + 0.235150i
\(310\) −3.14144 1.05287i −0.178422 0.0597989i
\(311\) −2.51789 + 1.45371i −0.142777 + 0.0824322i −0.569687 0.821862i \(-0.692935\pi\)
0.426910 + 0.904294i \(0.359602\pi\)
\(312\) −12.1581 + 15.4699i −0.688319 + 0.875811i
\(313\) 18.0136 + 10.4002i 1.01819 + 0.587852i 0.913579 0.406661i \(-0.133307\pi\)
0.104611 + 0.994513i \(0.466640\pi\)
\(314\) −6.52103 7.37815i −0.368003 0.416373i
\(315\) −11.9218 + 4.30237i −0.671719 + 0.242411i
\(316\) −4.04065 + 32.6372i −0.227304 + 1.83599i
\(317\) −10.1525 + 2.72034i −0.570219 + 0.152790i −0.532397 0.846495i \(-0.678709\pi\)
−0.0378219 + 0.999284i \(0.512042\pi\)
\(318\) −5.96039 0.115174i −0.334242 0.00645865i
\(319\) −14.0471 + 8.11008i −0.786485 + 0.454077i
\(320\) −7.04684 5.15237i −0.393931 0.288026i
\(321\) −7.89383 12.4282i −0.440591 0.693677i
\(322\) −13.5009 + 20.3754i −0.752378 + 1.13548i
\(323\) −6.29678 + 6.29678i −0.350362 + 0.350362i
\(324\) −8.27535 + 15.9849i −0.459742 + 0.888053i
\(325\) −10.8183 10.8183i −0.600089 0.600089i
\(326\) −3.07818 15.1688i −0.170485 0.840120i
\(327\) −1.82157 + 1.15697i −0.100733 + 0.0639807i
\(328\) 8.52170 3.00324i 0.470532 0.165826i
\(329\) 0.191401 + 0.331517i 0.0105523 + 0.0182771i
\(330\) 6.77582 + 7.04284i 0.372997 + 0.387696i
\(331\) −1.99815 7.45721i −0.109828 0.409885i 0.889020 0.457869i \(-0.151387\pi\)
−0.998848 + 0.0479837i \(0.984720\pi\)
\(332\) 24.5212 19.1184i 1.34578 1.04926i
\(333\) 8.70327 + 24.1167i 0.476936 + 1.32159i
\(334\) −26.6542 1.64369i −1.45845 0.0899384i
\(335\) 0.530565 0.918966i 0.0289879 0.0502085i
\(336\) 1.54720 + 26.7794i 0.0844065 + 1.46094i
\(337\) −15.1525 26.2448i −0.825407 1.42965i −0.901608 0.432554i \(-0.857613\pi\)
0.0762015 0.997092i \(-0.475721\pi\)
\(338\) −1.97358 3.96338i −0.107349 0.215580i
\(339\) −4.07139 + 1.27760i −0.221128 + 0.0693896i
\(340\) −3.35082 + 0.467493i −0.181724 + 0.0253534i
\(341\) 5.55098 5.55098i 0.300602 0.300602i
\(342\) 5.76575 23.6786i 0.311776 1.28039i
\(343\) 3.83397 0.207015
\(344\) −16.1055 + 1.24311i −0.868352 + 0.0670238i
\(345\) 8.42945 0.356510i 0.453827 0.0191939i
\(346\) −22.7096 7.61122i −1.22088 0.409182i
\(347\) −7.40762 + 27.6456i −0.397662 + 1.48409i 0.419537 + 0.907738i \(0.362192\pi\)
−0.817199 + 0.576356i \(0.804474\pi\)
\(348\) 6.58279 + 13.8857i 0.352875 + 0.744352i
\(349\) −1.32426 4.94221i −0.0708861 0.264551i 0.921383 0.388656i \(-0.127061\pi\)
−0.992269 + 0.124105i \(0.960394\pi\)
\(350\) −20.8181 1.28379i −1.11277 0.0686213i
\(351\) −12.6366 16.6087i −0.674490 0.886506i
\(352\) 18.3707 9.50458i 0.979161 0.506596i
\(353\) 10.6375 + 6.14156i 0.566176 + 0.326882i 0.755621 0.655009i \(-0.227335\pi\)
−0.189444 + 0.981891i \(0.560669\pi\)
\(354\) 29.7081 16.3950i 1.57897 0.871384i
\(355\) −2.00935 + 7.49899i −0.106645 + 0.398005i
\(356\) −8.76270 20.7014i −0.464422 1.09717i
\(357\) 7.65521 + 7.03396i 0.405157 + 0.372277i
\(358\) −9.50847 + 1.92954i −0.502538 + 0.101980i
\(359\) 8.35783i 0.441109i 0.975375 + 0.220555i \(0.0707867\pi\)
−0.975375 + 0.220555i \(0.929213\pi\)
\(360\) 7.16943 5.85917i 0.377862 0.308805i
\(361\) 13.9956i 0.736609i
\(362\) 0.790894 + 3.89739i 0.0415685 + 0.204842i
\(363\) −3.91557 + 1.22870i −0.205514 + 0.0644901i
\(364\) −28.8238 11.6793i −1.51078 0.612161i
\(365\) 2.94046 10.9739i 0.153911 0.574403i
\(366\) 11.3928 18.8808i 0.595511 0.986917i
\(367\) 5.59831 + 3.23218i 0.292229 + 0.168719i 0.638947 0.769251i \(-0.279370\pi\)
−0.346718 + 0.937970i \(0.612704\pi\)
\(368\) 4.35459 17.3169i 0.226999 0.902707i
\(369\) 0.809190 + 9.54928i 0.0421248 + 0.497116i
\(370\) 0.811757 13.1636i 0.0422012 0.684340i
\(371\) −2.43882 9.10182i −0.126617 0.472543i
\(372\) −4.81678 5.66686i −0.249738 0.293813i
\(373\) −3.08351 + 11.5078i −0.159658 + 0.595853i 0.839003 + 0.544127i \(0.183139\pi\)
−0.998661 + 0.0517262i \(0.983528\pi\)
\(374\) 2.54744 7.60079i 0.131725 0.393028i
\(375\) 8.92664 + 14.0543i 0.460970 + 0.725762i
\(376\) −0.212374 0.181939i −0.0109524 0.00938278i
\(377\) −17.8167 −0.917607
\(378\) −27.9033 5.55710i −1.43519 0.285826i
\(379\) 7.76444 7.76444i 0.398833 0.398833i −0.478988 0.877821i \(-0.658996\pi\)
0.877821 + 0.478988i \(0.158996\pi\)
\(380\) −7.55442 + 10.0041i −0.387533 + 0.513200i
\(381\) −1.42087 + 6.36799i −0.0727935 + 0.326242i
\(382\) 25.8246 12.8594i 1.32130 0.657947i
\(383\) 2.86264 + 4.95824i 0.146274 + 0.253354i 0.929848 0.367945i \(-0.119939\pi\)
−0.783573 + 0.621299i \(0.786605\pi\)
\(384\) −7.56857 18.0753i −0.386232 0.922402i
\(385\) −7.72380 + 13.3780i −0.393641 + 0.681807i
\(386\) −1.44565 + 23.4428i −0.0735816 + 1.19321i
\(387\) 3.02122 16.8648i 0.153577 0.857288i
\(388\) 0.211507 + 0.0261856i 0.0107376 + 0.00132937i
\(389\) 1.82769 + 6.82104i 0.0926677 + 0.345841i 0.996656 0.0817177i \(-0.0260406\pi\)
−0.903988 + 0.427558i \(0.859374\pi\)
\(390\) 2.57759 + 10.4210i 0.130521 + 0.527689i
\(391\) −3.46020 5.99324i −0.174990 0.303091i
\(392\) −21.3149 + 7.51186i −1.07656 + 0.379406i
\(393\) −2.04502 1.06812i −0.103158 0.0538795i
\(394\) −3.99469 + 0.810639i −0.201250 + 0.0408394i
\(395\) 12.6874 + 12.6874i 0.638373 + 0.638373i
\(396\) 4.85520 + 21.3945i 0.243983 + 1.07511i
\(397\) −1.86429 + 1.86429i −0.0935661 + 0.0935661i −0.752340 0.658774i \(-0.771075\pi\)
0.658774 + 0.752340i \(0.271075\pi\)
\(398\) 10.8423 + 7.18421i 0.543476 + 0.360112i
\(399\) 38.4862 1.62771i 1.92672 0.0814874i
\(400\) 14.6553 4.17049i 0.732767 0.208524i
\(401\) −34.3098 + 19.8088i −1.71335 + 0.989204i −0.783402 + 0.621516i \(0.786517\pi\)
−0.929949 + 0.367688i \(0.880149\pi\)
\(402\) 2.08550 1.15093i 0.104015 0.0574030i
\(403\) 8.32915 2.23179i 0.414905 0.111173i
\(404\) 6.83149 5.32630i 0.339879 0.264993i
\(405\) 4.10176 + 8.92314i 0.203818 + 0.443394i
\(406\) −18.1999 + 16.0856i −0.903245 + 0.798315i
\(407\) 27.0624 + 15.6245i 1.34143 + 0.774477i
\(408\) −6.98241 2.98756i −0.345681 0.147906i
\(409\) 19.5426 11.2829i 0.966317 0.557903i 0.0682056 0.997671i \(-0.478273\pi\)
0.898111 + 0.439768i \(0.144939\pi\)
\(410\) 1.56656 4.67416i 0.0773670 0.230840i
\(411\) 13.1176 14.2762i 0.647044 0.704192i
\(412\) 3.01460 3.99216i 0.148519 0.196680i
\(413\) 37.9245 + 37.9245i 1.86614 + 1.86614i
\(414\) 16.6148 + 9.09076i 0.816573 + 0.446787i
\(415\) 16.9645i 0.832755i
\(416\) 22.6955 + 1.04805i 1.11274 + 0.0513847i
\(417\) 4.79302 + 2.50341i 0.234715 + 0.122593i
\(418\) −13.2400 26.5887i −0.647589 1.30050i
\(419\) −0.541167 0.145005i −0.0264377 0.00708397i 0.245576 0.969377i \(-0.421023\pi\)
−0.272014 + 0.962293i \(0.587690\pi\)
\(420\) 12.0415 + 8.31799i 0.587566 + 0.405876i
\(421\) 21.1102 5.65647i 1.02885 0.275679i 0.295364 0.955385i \(-0.404559\pi\)
0.733485 + 0.679706i \(0.237892\pi\)
\(422\) −16.3573 + 14.4570i −0.796259 + 0.703757i
\(423\) 0.243436 0.169467i 0.0118363 0.00823977i
\(424\) 3.89044 + 5.67895i 0.188936 + 0.275794i
\(425\) 2.95271 5.11424i 0.143227 0.248077i
\(426\) −12.5588 + 12.0827i −0.608477 + 0.585407i
\(427\) 33.6680 + 9.02130i 1.62931 + 0.436571i
\(428\) −6.38450 + 15.7566i −0.308606 + 0.761623i
\(429\) −24.8252 5.53918i −1.19857 0.267434i
\(430\) −4.86806 + 7.34681i −0.234759 + 0.354294i
\(431\) −8.09784 −0.390059 −0.195030 0.980797i \(-0.562480\pi\)
−0.195030 + 0.980797i \(0.562480\pi\)
\(432\) 20.5747 2.94660i 0.989900 0.141769i
\(433\) 28.0379 1.34742 0.673708 0.738997i \(-0.264700\pi\)
0.673708 + 0.738997i \(0.264700\pi\)
\(434\) 6.49334 9.79966i 0.311690 0.470399i
\(435\) 8.18298 + 1.82585i 0.392344 + 0.0875426i
\(436\) 2.30939 + 0.935755i 0.110600 + 0.0448145i
\(437\) −24.7683 6.63666i −1.18483 0.317474i
\(438\) 18.3785 17.6817i 0.878157 0.844862i
\(439\) 14.3003 24.7689i 0.682518 1.18216i −0.291692 0.956512i \(-0.594218\pi\)
0.974210 0.225644i \(-0.0724485\pi\)
\(440\) 2.07325 11.0929i 0.0988385 0.528834i
\(441\) −2.02399 23.8851i −0.0963803 1.13739i
\(442\) 6.59777 5.83130i 0.313824 0.277367i
\(443\) −6.49785 + 1.74109i −0.308722 + 0.0827218i −0.409854 0.912151i \(-0.634420\pi\)
0.101132 + 0.994873i \(0.467754\pi\)
\(444\) 16.8265 24.3588i 0.798550 1.15602i
\(445\) −11.8469 3.17437i −0.561597 0.150479i
\(446\) 11.0467 + 22.1841i 0.523074 + 1.05045i
\(447\) 22.9964 + 12.0111i 1.08769 + 0.568106i
\(448\) 24.1298 19.4198i 1.14003 0.917498i
\(449\) 34.1293i 1.61066i 0.592827 + 0.805330i \(0.298012\pi\)
−0.592827 + 0.805330i \(0.701988\pi\)
\(450\) 0.370830 + 16.1572i 0.0174811 + 0.761659i
\(451\) 8.25930 + 8.25930i 0.388915 + 0.388915i
\(452\) 3.93211 + 2.96926i 0.184951 + 0.139662i
\(453\) 0.706391 0.768781i 0.0331892 0.0361205i
\(454\) 9.11508 27.1967i 0.427792 1.27640i
\(455\) −14.6948 + 8.48405i −0.688903 + 0.397739i
\(456\) −26.1217 + 10.4667i −1.22326 + 0.490146i
\(457\) 0.228748 + 0.132067i 0.0107004 + 0.00617786i 0.505341 0.862920i \(-0.331367\pi\)
−0.494640 + 0.869098i \(0.664700\pi\)
\(458\) 16.4955 14.5792i 0.770785 0.681243i
\(459\) 4.92995 6.37064i 0.230110 0.297356i
\(460\) −5.99018 7.68298i −0.279293 0.358221i
\(461\) 22.1554 5.93653i 1.03188 0.276492i 0.297136 0.954835i \(-0.403968\pi\)
0.734745 + 0.678343i \(0.237302\pi\)
\(462\) −30.3601 + 16.7548i −1.41248 + 0.779505i
\(463\) −25.1678 + 14.5306i −1.16964 + 0.675295i −0.953596 0.301088i \(-0.902650\pi\)
−0.216048 + 0.976383i \(0.569317\pi\)
\(464\) 8.63381 15.5022i 0.400814 0.719673i
\(465\) −4.05418 + 0.171465i −0.188008 + 0.00795150i
\(466\) −32.0285 21.2223i −1.48369 0.983106i
\(467\) 1.46976 1.46976i 0.0680123 0.0680123i −0.672282 0.740295i \(-0.734686\pi\)
0.740295 + 0.672282i \(0.234686\pi\)
\(468\) −7.13156 + 23.0184i −0.329657 + 1.06403i
\(469\) 2.66230 + 2.66230i 0.122934 + 0.122934i
\(470\) −0.149529 + 0.0303437i −0.00689724 + 0.00139965i
\(471\) −10.6897 5.58324i −0.492553 0.257262i
\(472\) −35.3388 16.9212i −1.62660 0.778860i
\(473\) −10.4411 18.0845i −0.480081 0.831525i
\(474\) 9.67100 + 39.0992i 0.444204 + 1.79588i
\(475\) −5.66329 21.1357i −0.259850 0.969772i
\(476\) 1.47494 11.9134i 0.0676038 0.546051i
\(477\) −6.86778 + 2.47846i −0.314454 + 0.113481i
\(478\) −0.431807 + 7.00224i −0.0197504 + 0.320275i
\(479\) −11.8147 + 20.4636i −0.539826 + 0.935006i 0.459087 + 0.888391i \(0.348177\pi\)
−0.998913 + 0.0466149i \(0.985157\pi\)
\(480\) −10.3164 2.80718i −0.470875 0.128130i
\(481\) 17.1624 + 29.7262i 0.782539 + 1.35540i
\(482\) 12.5017 6.22526i 0.569435 0.283553i
\(483\) −6.51918 + 29.2173i −0.296633 + 1.32943i
\(484\) 3.78162 + 2.85562i 0.171892 + 0.129801i
\(485\) 0.0822212 0.0822212i 0.00373347 0.00373347i
\(486\) −2.46497 + 21.9072i −0.111813 + 0.993729i
\(487\) −8.44298 −0.382588 −0.191294 0.981533i \(-0.561268\pi\)
−0.191294 + 0.981533i \(0.561268\pi\)
\(488\) −25.3877 + 1.95955i −1.14925 + 0.0887047i
\(489\) −10.1635 16.0017i −0.459610 0.723620i
\(490\) −3.91837 + 11.6912i −0.177014 + 0.528156i
\(491\) 1.32013 4.92678i 0.0595765 0.222342i −0.929719 0.368270i \(-0.879950\pi\)
0.989295 + 0.145928i \(0.0466167\pi\)
\(492\) 8.43172 7.16688i 0.380131 0.323108i
\(493\) −1.77992 6.64277i −0.0801638 0.299175i
\(494\) 2.00816 32.5646i 0.0903516 1.46515i
\(495\) 10.8342 + 5.08815i 0.486963 + 0.228695i
\(496\) −2.09436 + 8.32866i −0.0940395 + 0.373968i
\(497\) −23.8557 13.7731i −1.07007 0.617808i
\(498\) 19.6744 32.6056i 0.881631 1.46109i
\(499\) 5.34256 19.9387i 0.239166 0.892579i −0.737061 0.675827i \(-0.763787\pi\)
0.976227 0.216753i \(-0.0695465\pi\)
\(500\) 7.21983 17.8181i 0.322881 0.796851i
\(501\) −31.2062 + 9.79247i −1.39419 + 0.437495i
\(502\) 0.705181 + 3.47501i 0.0314738 + 0.155097i
\(503\) 25.8852i 1.15417i 0.816686 + 0.577083i \(0.195809\pi\)
−0.816686 + 0.577083i \(0.804191\pi\)
\(504\) 13.4970 + 29.9521i 0.601203 + 1.33417i
\(505\) 4.72622i 0.210314i
\(506\) 22.6221 4.59068i 1.00567 0.204080i
\(507\) −3.99299 3.66895i −0.177335 0.162944i
\(508\) 6.93798 2.93677i 0.307823 0.130298i
\(509\) 3.39138 12.6568i 0.150320 0.561003i −0.849140 0.528167i \(-0.822879\pi\)
0.999461 0.0328359i \(-0.0104539\pi\)
\(510\) −3.62786 + 2.00211i −0.160644 + 0.0886548i
\(511\) 34.9102 + 20.1554i 1.54434 + 0.891623i
\(512\) −11.9099 + 19.2394i −0.526349 + 0.850268i
\(513\) −3.77468 29.6080i −0.166656 1.30722i
\(514\) −23.8736 1.47221i −1.05302 0.0649366i
\(515\) −0.706409 2.63635i −0.0311281 0.116172i
\(516\) −17.8767 + 8.47482i −0.786980 + 0.373083i
\(517\) 0.0935669 0.349196i 0.00411507 0.0153576i
\(518\) 44.3694 + 14.8706i 1.94948 + 0.653377i
\(519\) −29.3078 + 1.23953i −1.28647 + 0.0544092i
\(520\) 8.06462 9.41368i 0.353657 0.412817i
\(521\) −15.9529 −0.698909 −0.349454 0.936953i \(-0.613633\pi\)
−0.349454 + 0.936953i \(0.613633\pi\)
\(522\) 13.6101 + 12.9994i 0.595699 + 0.568968i
\(523\) 8.00417 8.00417i 0.349998 0.349998i −0.510111 0.860109i \(-0.670396\pi\)
0.860109 + 0.510111i \(0.170396\pi\)
\(524\) 0.368116 + 2.63852i 0.0160812 + 0.115264i
\(525\) −24.3734 + 7.64834i −1.06374 + 0.333801i
\(526\) 13.0591 + 26.2256i 0.569406 + 1.14349i
\(527\) 1.66420 + 2.88247i 0.0724936 + 0.125563i
\(528\) 16.8497 18.9161i 0.733288 0.823216i
\(529\) −1.53630 + 2.66094i −0.0667955 + 0.115693i
\(530\) 3.74863 + 0.231167i 0.162830 + 0.0100412i
\(531\) 26.7996 31.7620i 1.16300 1.37836i
\(532\) −27.3492 35.0780i −1.18574 1.52082i
\(533\) 3.32068 + 12.3929i 0.143835 + 0.536798i
\(534\) −19.0882 19.8404i −0.826027 0.858579i
\(535\) 4.63782 + 8.03294i 0.200511 + 0.347294i
\(536\) −2.48078 1.18786i −0.107153 0.0513079i
\(537\) −10.0306 + 6.37095i −0.432851 + 0.274927i
\(538\) 6.02685 + 29.6993i 0.259836 + 1.28043i
\(539\) −20.6586 20.6586i −0.889828 0.889828i
\(540\) 5.63435 9.84123i 0.242464 0.423499i
\(541\) −16.5746 + 16.5746i −0.712599 + 0.712599i −0.967078 0.254479i \(-0.918096\pi\)
0.254479 + 0.967078i \(0.418096\pi\)
\(542\) −15.6482 + 23.6160i −0.672146 + 1.01439i
\(543\) 2.61136 + 4.11139i 0.112064 + 0.176437i
\(544\) 1.87657 + 8.56648i 0.0804574 + 0.367285i
\(545\) 1.17736 0.679750i 0.0504326 0.0291173i
\(546\) −38.0826 0.735880i −1.62978 0.0314928i
\(547\) 3.72043 0.996886i 0.159074 0.0426238i −0.178403 0.983957i \(-0.557093\pi\)
0.337477 + 0.941334i \(0.390426\pi\)
\(548\) −22.2173 2.75061i −0.949076 0.117500i
\(549\) 4.76246 26.5846i 0.203257 1.13460i
\(550\) 13.0447 + 14.7592i 0.556226 + 0.629336i
\(551\) −22.0678 12.7408i −0.940118 0.542778i
\(552\) −2.60281 21.7137i −0.110783 0.924195i
\(553\) −55.1343 + 31.8318i −2.34455 + 1.35362i
\(554\) −37.3055 12.5031i −1.58496 0.531206i
\(555\) −4.83615 15.4116i −0.205283 0.654188i
\(556\) −0.862774 6.18405i −0.0365898 0.262262i
\(557\) −14.2615 14.2615i −0.604278 0.604278i 0.337167 0.941445i \(-0.390531\pi\)
−0.941445 + 0.337167i \(0.890531\pi\)
\(558\) −7.99096 4.37224i −0.338284 0.185092i
\(559\) 22.9376i 0.970156i
\(560\) −0.260967 16.8972i −0.0110279 0.714036i
\(561\) −0.414864 9.80919i −0.0175156 0.414144i
\(562\) −22.3691 + 11.1388i −0.943583 + 0.469861i
\(563\) 35.1298 + 9.41300i 1.48054 + 0.396711i 0.906532 0.422136i \(-0.138720\pi\)
0.574012 + 0.818847i \(0.305386\pi\)
\(564\) −0.322583 0.115094i −0.0135832 0.00484633i
\(565\) 2.59670 0.695783i 0.109244 0.0292718i
\(566\) 22.7991 + 25.7958i 0.958319 + 1.08428i
\(567\) −34.3487 + 5.86340i −1.44251 + 0.246240i
\(568\) 19.7809 + 3.69703i 0.829989 + 0.155124i
\(569\) 12.2488 21.2155i 0.513496 0.889402i −0.486381 0.873747i \(-0.661683\pi\)
0.999877 0.0156550i \(-0.00498336\pi\)
\(570\) −4.25953 + 14.7507i −0.178412 + 0.617840i
\(571\) 7.91280 + 2.12023i 0.331140 + 0.0887288i 0.420559 0.907265i \(-0.361834\pi\)
−0.0894183 + 0.995994i \(0.528501\pi\)
\(572\) 11.4488 + 27.0473i 0.478699 + 1.13090i
\(573\) 23.9061 26.0175i 0.998690 1.08690i
\(574\) 14.5809 + 9.66143i 0.608595 + 0.403260i
\(575\) 17.0048 0.709147
\(576\) −16.5723 17.3597i −0.690514 0.723319i
\(577\) −19.0192 −0.791779 −0.395889 0.918298i \(-0.629564\pi\)
−0.395889 + 0.918298i \(0.629564\pi\)
\(578\) −17.2080 11.4022i −0.715760 0.474269i
\(579\) 8.61265 + 27.4464i 0.357929 + 1.14063i
\(580\) −3.77381 8.91543i −0.156699 0.370193i
\(581\) 58.1417 + 15.5790i 2.41213 + 0.646327i
\(582\) 0.253383 0.0626732i 0.0105031 0.00259789i
\(583\) −4.44944 + 7.70665i −0.184277 + 0.319177i
\(584\) −28.9472 5.41020i −1.19784 0.223876i
\(585\) 7.51179 + 10.7905i 0.310574 + 0.446133i
\(586\) 4.88216 + 5.52386i 0.201680 + 0.228189i
\(587\) −9.79477 + 2.62450i −0.404274 + 0.108325i −0.455225 0.890376i \(-0.650441\pi\)
0.0509516 + 0.998701i \(0.483775\pi\)
\(588\) −21.0898 + 17.9262i −0.869731 + 0.739262i
\(589\) 11.9124 + 3.19193i 0.490844 + 0.131521i
\(590\) −19.1358 + 9.52877i −0.787810 + 0.392293i
\(591\) −4.21404 + 2.67656i −0.173342 + 0.110099i
\(592\) −34.1813 + 0.527912i −1.40484 + 0.0216970i
\(593\) 16.0166i 0.657724i −0.944378 0.328862i \(-0.893335\pi\)
0.944378 0.328862i \(-0.106665\pi\)
\(594\) 14.9224 + 22.3443i 0.612273 + 0.916797i
\(595\) −4.63123 4.63123i −0.189862 0.189862i
\(596\) −4.13950 29.6704i −0.169561 1.21535i
\(597\) 15.5473 + 3.46903i 0.636309 + 0.141978i
\(598\) 24.0409 + 8.05742i 0.983107 + 0.329492i
\(599\) 2.72485 1.57319i 0.111334 0.0642790i −0.443299 0.896374i \(-0.646192\pi\)
0.554633 + 0.832095i \(0.312859\pi\)
\(600\) 14.9361 11.1880i 0.609763 0.456749i
\(601\) 6.88132 + 3.97293i 0.280695 + 0.162059i 0.633738 0.773548i \(-0.281520\pi\)
−0.353043 + 0.935607i \(0.614853\pi\)
\(602\) −20.7089 23.4309i −0.844032 0.954971i
\(603\) 1.88133 2.22969i 0.0766137 0.0908001i
\(604\) −1.19642 0.148122i −0.0486815 0.00602700i
\(605\) 2.49732 0.669154i 0.101530 0.0272050i
\(606\) 5.48119 9.08376i 0.222658 0.369002i
\(607\) −28.2159 + 16.2905i −1.14525 + 0.661209i −0.947725 0.319089i \(-0.896623\pi\)
−0.197523 + 0.980298i \(0.563290\pi\)
\(608\) 27.3612 + 17.5278i 1.10964 + 0.710846i
\(609\) −13.7723 + 26.3685i −0.558083 + 1.06850i
\(610\) −7.67369 + 11.5810i −0.310698 + 0.468902i
\(611\) 0.280791 0.280791i 0.0113596 0.0113596i
\(612\) −9.29463 0.359340i −0.375713 0.0145254i
\(613\) 1.74081 + 1.74081i 0.0703105 + 0.0703105i 0.741388 0.671077i \(-0.234168\pi\)
−0.671077 + 0.741388i \(0.734168\pi\)
\(614\) −1.12429 5.54033i −0.0453728 0.223589i
\(615\) −0.255123 6.03222i −0.0102875 0.243243i
\(616\) 36.1144 + 17.2925i 1.45509 + 0.696736i
\(617\) 8.76552 + 15.1823i 0.352887 + 0.611218i 0.986754 0.162224i \(-0.0518668\pi\)
−0.633867 + 0.773442i \(0.718533\pi\)
\(618\) 1.69977 5.88630i 0.0683749 0.236782i
\(619\) 3.30420 + 12.3314i 0.132807 + 0.495643i 0.999997 0.00233438i \(-0.000743057\pi\)
−0.867190 + 0.497977i \(0.834076\pi\)
\(620\) 2.88100 + 3.69516i 0.115704 + 0.148401i
\(621\) 22.9847 + 3.12180i 0.922342 + 0.125273i
\(622\) 4.10391 + 0.253076i 0.164552 + 0.0101474i
\(623\) 21.7588 37.6873i 0.871746 1.50991i
\(624\) 26.4175 8.74015i 1.05755 0.349886i
\(625\) 4.27862 + 7.41079i 0.171145 + 0.296432i
\(626\) −13.1122 26.3321i −0.524068 1.05244i
\(627\) −26.7874 24.6135i −1.06979 0.982968i
\(628\) 1.92421 + 13.7920i 0.0767842 + 0.550361i
\(629\) −9.36852 + 9.36852i −0.373548 + 0.373548i
\(630\) 17.4154 + 4.24066i 0.693847 + 0.168952i
\(631\) −24.1690 −0.962153 −0.481076 0.876679i \(-0.659754\pi\)
−0.481076 + 0.876679i \(0.659754\pi\)
\(632\) 30.2581 35.3197i 1.20360 1.40494i
\(633\) −12.3780 + 23.6988i −0.491980 + 0.941944i
\(634\) 14.0937 + 4.72357i 0.559733 + 0.187597i
\(635\) 1.06387 3.97043i 0.0422185 0.157562i
\(636\) 6.93673 + 4.79173i 0.275059 + 0.190004i
\(637\) −8.30585 30.9979i −0.329090 1.22818i
\(638\) 22.8953 + 1.41188i 0.906433 + 0.0558970i
\(639\) −9.07320 + 19.3197i −0.358930 + 0.764274i
\(640\) 4.28276 + 11.5788i 0.169291 + 0.457691i
\(641\) −19.3938 11.1970i −0.766010 0.442256i 0.0654392 0.997857i \(-0.479155\pi\)
−0.831450 + 0.555600i \(0.812489\pi\)
\(642\) −0.402270 + 20.8179i −0.0158763 + 0.821617i
\(643\) 1.00422 3.74778i 0.0396024 0.147798i −0.943294 0.331960i \(-0.892290\pi\)
0.982896 + 0.184161i \(0.0589569\pi\)
\(644\) 31.8325 13.4744i 1.25438 0.530964i
\(645\) −2.35063 + 10.5349i −0.0925560 + 0.414813i
\(646\) 12.3420 2.50455i 0.485589 0.0985401i
\(647\) 36.0008i 1.41534i −0.706544 0.707669i \(-0.749747\pi\)
0.706544 0.707669i \(-0.250253\pi\)
\(648\) 22.2424 12.3804i 0.873766 0.486347i
\(649\) 50.6508i 1.98822i
\(650\) 4.30297 + 21.2043i 0.168777 + 0.831702i
\(651\) 3.13543 14.0522i 0.122887 0.550749i
\(652\) −8.22020 + 20.2870i −0.321928 + 0.794500i
\(653\) 1.19679 4.46647i 0.0468339 0.174786i −0.938547 0.345151i \(-0.887828\pi\)
0.985381 + 0.170364i \(0.0544945\pi\)
\(654\) 3.05121 + 0.0589594i 0.119312 + 0.00230549i
\(655\) 1.25878 + 0.726755i 0.0491845 + 0.0283967i
\(656\) −12.3922 3.11620i −0.483834 0.121667i
\(657\) 13.2776 28.2722i 0.518010 1.10300i
\(658\) 0.0333211 0.540339i 0.00129899 0.0210646i
\(659\) 9.49427 + 35.4331i 0.369844 + 1.38028i 0.860734 + 0.509056i \(0.170005\pi\)
−0.490889 + 0.871222i \(0.663328\pi\)
\(660\) −2.48651 13.5957i −0.0967871 0.529213i
\(661\) 6.83035 25.4912i 0.265670 0.991493i −0.696169 0.717878i \(-0.745114\pi\)
0.961839 0.273616i \(-0.0882196\pi\)
\(662\) −3.46957 + 10.3522i −0.134849 + 0.402348i
\(663\) 4.99271 9.55902i 0.193901 0.371242i
\(664\) −43.8425 + 3.38398i −1.70142 + 0.131324i
\(665\) −24.2680 −0.941072
\(666\) 8.57845 35.2297i 0.332408 1.36512i
\(667\) 14.0027 14.0027i 0.542185 0.542185i
\(668\) 30.1387 + 22.7586i 1.16610 + 0.880558i
\(669\) 22.3498 + 20.5360i 0.864094 + 0.793969i
\(670\) −1.34333 + 0.668919i −0.0518975 + 0.0258426i
\(671\) −16.4586 28.5072i −0.635378 1.10051i
\(672\) 19.0947 32.7789i 0.736596 1.26447i
\(673\) −11.8530 + 20.5299i −0.456898 + 0.791371i −0.998795 0.0490741i \(-0.984373\pi\)
0.541897 + 0.840445i \(0.317706\pi\)
\(674\) −2.63789 + 42.7763i −0.101608 + 1.64768i
\(675\) 7.49977 + 18.3179i 0.288666 + 0.705055i
\(676\) −0.769336 + 6.21410i −0.0295898 + 0.239004i
\(677\) −0.158680 0.592200i −0.00609855 0.0227601i 0.962810 0.270181i \(-0.0870836\pi\)
−0.968908 + 0.247421i \(0.920417\pi\)
\(678\) 5.79776 + 1.67420i 0.222662 + 0.0642974i
\(679\) 0.206287 + 0.357299i 0.00791656 + 0.0137119i
\(680\) 4.31546 + 2.06636i 0.165490 + 0.0792413i
\(681\) −1.48444 35.0986i −0.0568838 1.34498i
\(682\) −10.8802 + 2.20791i −0.416624 + 0.0845451i
\(683\) 7.92296 + 7.92296i 0.303164 + 0.303164i 0.842250 0.539087i \(-0.181230\pi\)
−0.539087 + 0.842250i \(0.681230\pi\)
\(684\) −25.2938 + 23.4108i −0.967131 + 0.895134i
\(685\) −8.63676 + 8.63676i −0.329994 + 0.329994i
\(686\) −4.51987 2.99490i −0.172569 0.114346i
\(687\) 12.4826 23.8992i 0.476241 0.911810i
\(688\) 19.9579 + 11.1153i 0.760887 + 0.423768i
\(689\) −8.46522 + 4.88739i −0.322499 + 0.186195i
\(690\) −10.2160 6.16437i −0.388915 0.234674i
\(691\) 10.1756 2.72654i 0.387097 0.103722i −0.0600214 0.998197i \(-0.519117\pi\)
0.447118 + 0.894475i \(0.352450\pi\)
\(692\) 20.8269 + 26.7125i 0.791719 + 1.01546i
\(693\) −27.3878 + 32.4591i −1.04038 + 1.23302i
\(694\) 30.3282 26.8050i 1.15124 1.01750i
\(695\) −2.95027 1.70334i −0.111910 0.0646112i
\(696\) 3.08636 21.5120i 0.116988 0.815411i
\(697\) −4.28883 + 2.47616i −0.162451 + 0.0937912i
\(698\) −2.29943 + 6.86082i −0.0870348 + 0.259686i
\(699\) −45.9271 10.2476i −1.73712 0.387600i
\(700\) 23.5396 + 17.7755i 0.889713 + 0.671850i
\(701\) −17.1029 17.1029i −0.645968 0.645968i 0.306048 0.952016i \(-0.400993\pi\)
−0.952016 + 0.306048i \(0.900993\pi\)
\(702\) 1.92339 + 29.4510i 0.0725937 + 1.11156i
\(703\) 49.0918i 1.85153i
\(704\) −29.0817 3.14529i −1.09606 0.118543i
\(705\) −0.157739 + 0.100188i −0.00594080 + 0.00377331i
\(706\) −7.74306 15.5497i −0.291414 0.585222i
\(707\) 16.1980 + 4.34024i 0.609188 + 0.163231i
\(708\) −47.8298 3.87837i −1.79755 0.145758i
\(709\) 1.33738 0.358349i 0.0502263 0.0134581i −0.233618 0.972328i \(-0.575057\pi\)
0.283845 + 0.958870i \(0.408390\pi\)
\(710\) 8.22665 7.27096i 0.308741 0.272874i
\(711\) 28.1839 + 40.4856i 1.05698 + 1.51833i
\(712\) −5.84057 + 31.2499i −0.218885 + 1.17114i
\(713\) −4.79209 + 8.30014i −0.179465 + 0.310843i
\(714\) −3.53016 14.2722i −0.132113 0.534124i
\(715\) 15.4785 + 4.14744i 0.578862 + 0.155106i
\(716\) 12.7168 + 5.15279i 0.475249 + 0.192569i
\(717\) 2.57255 + 8.19809i 0.0960736 + 0.306163i
\(718\) 6.52871 9.85305i 0.243649 0.367712i
\(719\) 3.58660 0.133758 0.0668789 0.997761i \(-0.478696\pi\)
0.0668789 + 0.997761i \(0.478696\pi\)
\(720\) −13.0289 + 1.30698i −0.485559 + 0.0487084i
\(721\) 9.68418 0.360658
\(722\) 10.9326 16.4994i 0.406870 0.614043i
\(723\) 11.5729 12.5951i 0.430401 0.468415i
\(724\) 2.11206 5.21244i 0.0784941 0.193719i
\(725\) 16.3226 + 4.37362i 0.606205 + 0.162432i
\(726\) 5.57587 + 1.61013i 0.206940 + 0.0597575i
\(727\) −19.8338 + 34.3531i −0.735594 + 1.27409i 0.218869 + 0.975754i \(0.429763\pi\)
−0.954462 + 0.298331i \(0.903570\pi\)
\(728\) 24.8571 + 36.2844i 0.921266 + 1.34479i
\(729\) 6.77428 + 26.1364i 0.250899 + 0.968013i
\(730\) −12.0388 + 10.6402i −0.445576 + 0.393813i
\(731\) 8.55203 2.29151i 0.316308 0.0847545i
\(732\) −28.1797 + 13.3592i −1.04155 + 0.493768i
\(733\) 7.45317 + 1.99707i 0.275289 + 0.0737635i 0.393822 0.919187i \(-0.371153\pi\)
−0.118533 + 0.992950i \(0.537819\pi\)
\(734\) −4.07503 8.18353i −0.150412 0.302060i
\(735\) 0.638126 + 15.0881i 0.0235376 + 0.556533i
\(736\) −18.6607 + 17.0134i −0.687844 + 0.627120i
\(737\) 3.55568i 0.130975i
\(738\) 6.50546 11.8897i 0.239469 0.437668i
\(739\) −3.67791 3.67791i −0.135294 0.135294i 0.636216 0.771511i \(-0.280499\pi\)
−0.771511 + 0.636216i \(0.780499\pi\)
\(740\) −11.2397 + 14.8844i −0.413179 + 0.547162i
\(741\) −11.9639 38.1261i −0.439505 1.40060i
\(742\) −4.23475 + 12.6352i −0.155462 + 0.463854i
\(743\) 29.0142 16.7513i 1.06443 0.614547i 0.137773 0.990464i \(-0.456005\pi\)
0.926654 + 0.375917i \(0.122672\pi\)
\(744\) 1.25183 + 10.4433i 0.0458944 + 0.382869i
\(745\) −14.1551 8.17244i −0.518602 0.299415i
\(746\) 12.6245 11.1579i 0.462216 0.408520i
\(747\) 8.22436 45.9094i 0.300914 1.67974i
\(748\) −8.94053 + 6.97065i −0.326898 + 0.254872i
\(749\) −31.7900 + 8.51811i −1.16158 + 0.311245i
\(750\) 0.454902 23.5417i 0.0166107 0.859620i
\(751\) −28.3480 + 16.3667i −1.03443 + 0.597231i −0.918252 0.395997i \(-0.870399\pi\)
−0.116182 + 0.993228i \(0.537066\pi\)
\(752\) 0.108246 + 0.380384i 0.00394733 + 0.0138712i
\(753\) 2.32836 + 3.66582i 0.0848501 + 0.133590i
\(754\) 21.0041 + 13.9175i 0.764925 + 0.506846i
\(755\) −0.465095 + 0.465095i −0.0169265 + 0.0169265i
\(756\) 28.5542 + 28.3479i 1.03851 + 1.03100i
\(757\) −32.1096 32.1096i −1.16704 1.16704i −0.982900 0.184143i \(-0.941049\pi\)
−0.184143 0.982900i \(-0.558951\pi\)
\(758\) −15.2187 + 3.08832i −0.552768 + 0.112173i
\(759\) 23.8642 15.1574i 0.866217 0.550180i
\(760\) 16.7206 5.89273i 0.606520 0.213752i
\(761\) −11.3534 19.6647i −0.411562 0.712847i 0.583499 0.812114i \(-0.301683\pi\)
−0.995061 + 0.0992676i \(0.968350\pi\)
\(762\) 6.64942 6.39731i 0.240883 0.231750i
\(763\) 1.24847 + 4.65936i 0.0451977 + 0.168680i
\(764\) −40.4897 5.01282i −1.46487 0.181358i
\(765\) −3.27269 + 3.87868i −0.118324 + 0.140234i
\(766\) 0.498357 8.08142i 0.0180064 0.291994i
\(767\) 27.8182 48.1825i 1.00446 1.73977i
\(768\) −5.19693 + 27.2212i −0.187528 + 0.982259i
\(769\) 23.6477 + 40.9590i 0.852757 + 1.47702i 0.878710 + 0.477356i \(0.158405\pi\)
−0.0259531 + 0.999663i \(0.508262\pi\)
\(770\) 19.5558 9.73790i 0.704743 0.350930i
\(771\) −27.9508 + 8.77092i −1.00662 + 0.315877i
\(772\) 20.0166 26.5075i 0.720414 0.954025i
\(773\) 13.5761 13.5761i 0.488297 0.488297i −0.419472 0.907768i