Properties

Label 507.2.t.b.10.1
Level $507$
Weight $2$
Character 507.10
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 10.1
Character \(\chi\) \(=\) 507.10
Dual form 507.2.t.b.355.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.52917 - 0.516334i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(4.29016 + 1.82787i) q^{4} +(0.764962 - 3.10357i) q^{5} +(2.57925 + 0.103940i) q^{6} +(4.06091 - 1.92693i) q^{7} +(-5.65796 - 3.90541i) q^{8} +(0.948536 - 0.316668i) q^{9} +O(q^{10})\) \(q+(-2.52917 - 0.516334i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(4.29016 + 1.82787i) q^{4} +(0.764962 - 3.10357i) q^{5} +(2.57925 + 0.103940i) q^{6} +(4.06091 - 1.92693i) q^{7} +(-5.65796 - 3.90541i) q^{8} +(0.948536 - 0.316668i) q^{9} +(-3.53720 + 7.45450i) q^{10} +(1.62862 - 4.87831i) q^{11} +(-4.52781 - 1.11601i) q^{12} +(2.60162 - 2.49631i) q^{13} +(-11.2657 + 2.77674i) q^{14} +(-0.257208 + 3.18609i) q^{15} +(5.83267 + 6.07245i) q^{16} +(2.37954 + 5.01478i) q^{17} +(-2.56252 + 0.311146i) q^{18} +(-0.0861168 - 0.0497196i) q^{19} +(8.95472 - 11.9166i) q^{20} +(-3.69922 + 2.55339i) q^{21} +(-6.63791 + 11.4972i) q^{22} +(4.28526 + 7.42229i) q^{23} +(6.21116 + 2.94723i) q^{24} +(-4.61972 - 2.42462i) q^{25} +(-7.86888 + 4.97031i) q^{26} +(-0.885456 + 0.464723i) q^{27} +(20.9441 - 0.844018i) q^{28} +(0.820579 - 4.01946i) q^{29} +(2.29561 - 7.92537i) q^{30} +(0.138817 + 0.264493i) q^{31} +(-4.26759 - 6.74865i) q^{32} +(-0.824994 + 5.07639i) q^{33} +(-3.42897 - 13.9119i) q^{34} +(-2.87391 - 14.0774i) q^{35} +(4.64820 + 0.375241i) q^{36} +(-4.03673 + 6.38358i) q^{37} +(0.192132 + 0.170215i) q^{38} +(-2.16749 + 2.88132i) q^{39} +(-16.4488 + 14.5724i) q^{40} +(0.219810 + 1.35255i) q^{41} +(10.6744 - 4.54793i) q^{42} +(-1.77329 + 1.12136i) q^{43} +(15.9039 - 17.9518i) q^{44} +(-0.257208 - 3.18609i) q^{45} +(-7.00578 - 20.9849i) q^{46} +(0.772923 + 0.0938498i) q^{47} +(-6.73123 - 5.05819i) q^{48} +(8.35082 - 10.2279i) q^{49} +(10.4322 + 8.51759i) q^{50} +(-3.15316 - 4.56814i) q^{51} +(15.7243 - 5.95417i) q^{52} +(1.35790 - 1.96725i) q^{53} +(2.47942 - 0.718174i) q^{54} +(-13.8944 - 8.78627i) q^{55} +(-30.5019 - 4.95704i) q^{56} +(0.0929772 + 0.0352616i) q^{57} +(-4.15077 + 9.74223i) q^{58} +(-1.40768 - 1.35210i) q^{59} +(-6.92721 + 13.1987i) q^{60} +(3.22110 - 0.260034i) q^{61} +(-0.214524 - 0.740624i) q^{62} +(3.24172 - 3.11372i) q^{63} +(1.33743 + 3.52651i) q^{64} +(-5.75735 - 9.98390i) q^{65} +(4.70767 - 12.4131i) q^{66} +(-1.73659 - 4.07592i) q^{67} +(1.04227 + 25.8637i) q^{68} +(-5.42039 - 6.63877i) q^{69} +37.0880i q^{70} +(-12.3060 + 10.0475i) q^{71} +(-6.60350 - 1.91273i) q^{72} +(4.34548 + 4.90503i) q^{73} +(13.5057 - 14.0609i) q^{74} +(4.94883 + 1.65216i) q^{75} +(-0.278574 - 0.370715i) q^{76} +(-2.78647 - 22.9486i) q^{77} +(6.96968 - 6.16820i) q^{78} +(-0.569654 + 4.69152i) q^{79} +(23.3081 - 13.4569i) q^{80} +(0.799443 - 0.600742i) q^{81} +(0.142428 - 3.53432i) q^{82} +(-4.58310 + 1.73814i) q^{83} +(-20.5375 + 4.19276i) q^{84} +(17.3840 - 3.54897i) q^{85} +(5.06396 - 1.92051i) q^{86} +(-0.165186 + 4.09904i) q^{87} +(-28.2665 + 21.2409i) q^{88} +(1.02872 - 0.593934i) q^{89} +(-0.994565 + 8.19098i) q^{90} +(5.75472 - 15.1504i) q^{91} +(4.81750 + 39.6757i) q^{92} +(-0.179447 - 0.238800i) q^{93} +(-1.90640 - 0.636449i) q^{94} +(-0.220184 + 0.229236i) q^{95} +(5.29488 + 5.97669i) q^{96} +(-3.11993 - 0.903700i) q^{97} +(-26.4017 + 21.5563i) q^{98} -5.14299i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{78}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.52917 0.516334i −1.78840 0.365104i −0.812435 0.583052i \(-0.801859\pi\)
−0.975960 + 0.217948i \(0.930064\pi\)
\(3\) −0.987050 + 0.160411i −0.569874 + 0.0926135i
\(4\) 4.29016 + 1.82787i 2.14508 + 0.913933i
\(5\) 0.764962 3.10357i 0.342101 1.38796i −0.508007 0.861353i \(-0.669618\pi\)
0.850109 0.526607i \(-0.176536\pi\)
\(6\) 2.57925 + 0.103940i 1.05297 + 0.0424334i
\(7\) 4.06091 1.92693i 1.53488 0.728309i 0.541235 0.840872i \(-0.317957\pi\)
0.993645 + 0.112562i \(0.0359058\pi\)
\(8\) −5.65796 3.90541i −2.00039 1.38077i
\(9\) 0.948536 0.316668i 0.316179 0.105556i
\(10\) −3.53720 + 7.45450i −1.11856 + 2.35732i
\(11\) 1.62862 4.87831i 0.491048 1.47087i −0.353524 0.935425i \(-0.615017\pi\)
0.844572 0.535442i \(-0.179855\pi\)
\(12\) −4.52781 1.11601i −1.30707 0.322163i
\(13\) 2.60162 2.49631i 0.721559 0.692353i
\(14\) −11.2657 + 2.77674i −3.01088 + 0.742115i
\(15\) −0.257208 + 3.18609i −0.0664108 + 0.822645i
\(16\) 5.83267 + 6.07245i 1.45817 + 1.51811i
\(17\) 2.37954 + 5.01478i 0.577124 + 1.21626i 0.956693 + 0.291100i \(0.0940212\pi\)
−0.379568 + 0.925164i \(0.623927\pi\)
\(18\) −2.56252 + 0.311146i −0.603992 + 0.0733379i
\(19\) −0.0861168 0.0497196i −0.0197566 0.0114065i 0.490089 0.871672i \(-0.336964\pi\)
−0.509846 + 0.860266i \(0.670298\pi\)
\(20\) 8.95472 11.9166i 2.00234 2.66463i
\(21\) −3.69922 + 2.55339i −0.807236 + 0.557195i
\(22\) −6.63791 + 11.4972i −1.41521 + 2.45121i
\(23\) 4.28526 + 7.42229i 0.893538 + 1.54765i 0.835603 + 0.549334i \(0.185118\pi\)
0.0579354 + 0.998320i \(0.481548\pi\)
\(24\) 6.21116 + 2.94723i 1.26785 + 0.601601i
\(25\) −4.61972 2.42462i −0.923944 0.484923i
\(26\) −7.86888 + 4.97031i −1.54321 + 0.974757i
\(27\) −0.885456 + 0.464723i −0.170406 + 0.0894360i
\(28\) 20.9441 0.844018i 3.95806 0.159504i
\(29\) 0.820579 4.01946i 0.152378 0.746396i −0.829743 0.558145i \(-0.811513\pi\)
0.982121 0.188250i \(-0.0602817\pi\)
\(30\) 2.29561 7.92537i 0.419119 1.44697i
\(31\) 0.138817 + 0.264493i 0.0249322 + 0.0475043i 0.897603 0.440804i \(-0.145307\pi\)
−0.872671 + 0.488308i \(0.837614\pi\)
\(32\) −4.26759 6.74865i −0.754410 1.19300i
\(33\) −0.824994 + 5.07639i −0.143613 + 0.883686i
\(34\) −3.42897 13.9119i −0.588064 2.38587i
\(35\) −2.87391 14.0774i −0.485780 2.37951i
\(36\) 4.64820 + 0.375241i 0.774699 + 0.0625402i
\(37\) −4.03673 + 6.38358i −0.663634 + 1.04945i 0.330759 + 0.943715i \(0.392695\pi\)
−0.994394 + 0.105739i \(0.966279\pi\)
\(38\) 0.192132 + 0.170215i 0.0311680 + 0.0276124i
\(39\) −2.16749 + 2.88132i −0.347076 + 0.461380i
\(40\) −16.4488 + 14.5724i −2.60079 + 2.30410i
\(41\) 0.219810 + 1.35255i 0.0343286 + 0.211232i 0.998548 0.0538743i \(-0.0171570\pi\)
−0.964219 + 0.265106i \(0.914593\pi\)
\(42\) 10.6744 4.54793i 1.64709 0.701760i
\(43\) −1.77329 + 1.12136i −0.270425 + 0.171006i −0.662795 0.748801i \(-0.730630\pi\)
0.392370 + 0.919808i \(0.371655\pi\)
\(44\) 15.9039 17.9518i 2.39761 2.70634i
\(45\) −0.257208 3.18609i −0.0383423 0.474954i
\(46\) −7.00578 20.9849i −1.03295 3.09405i
\(47\) 0.772923 + 0.0938498i 0.112742 + 0.0136894i 0.176713 0.984262i \(-0.443453\pi\)
−0.0639710 + 0.997952i \(0.520377\pi\)
\(48\) −6.73123 5.05819i −0.971569 0.730087i
\(49\) 8.35082 10.2279i 1.19297 1.46113i
\(50\) 10.4322 + 8.51759i 1.47533 + 1.20457i
\(51\) −3.15316 4.56814i −0.441530 0.639667i
\(52\) 15.7243 5.95417i 2.18056 0.825695i
\(53\) 1.35790 1.96725i 0.186521 0.270223i −0.718557 0.695468i \(-0.755197\pi\)
0.905078 + 0.425246i \(0.139812\pi\)
\(54\) 2.47942 0.718174i 0.337407 0.0977311i
\(55\) −13.8944 8.78627i −1.87352 1.18474i
\(56\) −30.5019 4.95704i −4.07599 0.662412i
\(57\) 0.0929772 + 0.0352616i 0.0123151 + 0.00467051i
\(58\) −4.15077 + 9.74223i −0.545023 + 1.27922i
\(59\) −1.40768 1.35210i −0.183265 0.176028i 0.595478 0.803372i \(-0.296963\pi\)
−0.778743 + 0.627343i \(0.784142\pi\)
\(60\) −6.92721 + 13.1987i −0.894299 + 1.70394i
\(61\) 3.22110 0.260034i 0.412420 0.0332939i 0.127484 0.991841i \(-0.459310\pi\)
0.284936 + 0.958547i \(0.408028\pi\)
\(62\) −0.214524 0.740624i −0.0272446 0.0940593i
\(63\) 3.24172 3.11372i 0.408419 0.392292i
\(64\) 1.33743 + 3.52651i 0.167179 + 0.440814i
\(65\) −5.75735 9.98390i −0.714112 1.23835i
\(66\) 4.70767 12.4131i 0.579474 1.52795i
\(67\) −1.73659 4.07592i −0.212158 0.497953i 0.779569 0.626316i \(-0.215438\pi\)
−0.991727 + 0.128363i \(0.959028\pi\)
\(68\) 1.04227 + 25.8637i 0.126394 + 3.13643i
\(69\) −5.42039 6.63877i −0.652538 0.799214i
\(70\) 37.0880i 4.43286i
\(71\) −12.3060 + 10.0475i −1.46045 + 1.19242i −0.519222 + 0.854639i \(0.673778\pi\)
−0.941225 + 0.337779i \(0.890324\pi\)
\(72\) −6.60350 1.91273i −0.778230 0.225417i
\(73\) 4.34548 + 4.90503i 0.508600 + 0.574090i 0.945584 0.325379i \(-0.105492\pi\)
−0.436984 + 0.899469i \(0.643953\pi\)
\(74\) 13.5057 14.0609i 1.57000 1.63454i
\(75\) 4.94883 + 1.65216i 0.571442 + 0.190775i
\(76\) −0.278574 0.370715i −0.0319546 0.0425239i
\(77\) −2.78647 22.9486i −0.317547 2.61524i
\(78\) 6.96968 6.16820i 0.789161 0.698411i
\(79\) −0.569654 + 4.69152i −0.0640911 + 0.527837i 0.924938 + 0.380118i \(0.124116\pi\)
−0.989029 + 0.147720i \(0.952807\pi\)
\(80\) 23.3081 13.4569i 2.60592 1.50453i
\(81\) 0.799443 0.600742i 0.0888270 0.0667491i
\(82\) 0.142428 3.53432i 0.0157286 0.390300i
\(83\) −4.58310 + 1.73814i −0.503061 + 0.190786i −0.593063 0.805156i \(-0.702082\pi\)
0.0900028 + 0.995942i \(0.471312\pi\)
\(84\) −20.5375 + 4.19276i −2.24082 + 0.457467i
\(85\) 17.3840 3.54897i 1.88556 0.384940i
\(86\) 5.06396 1.92051i 0.546061 0.207094i
\(87\) −0.165186 + 4.09904i −0.0177098 + 0.439464i
\(88\) −28.2665 + 21.2409i −3.01322 + 2.26428i
\(89\) 1.02872 0.593934i 0.109045 0.0629569i −0.444486 0.895786i \(-0.646614\pi\)
0.553530 + 0.832829i \(0.313280\pi\)
\(90\) −0.994565 + 8.19098i −0.104836 + 0.863405i
\(91\) 5.75472 15.1504i 0.603259 1.58820i
\(92\) 4.81750 + 39.6757i 0.502259 + 4.13647i
\(93\) −0.179447 0.238800i −0.0186077 0.0247624i
\(94\) −1.90640 0.636449i −0.196630 0.0656447i
\(95\) −0.220184 + 0.229236i −0.0225904 + 0.0235191i
\(96\) 5.29488 + 5.97669i 0.540407 + 0.609993i
\(97\) −3.11993 0.903700i −0.316781 0.0917568i 0.116018 0.993247i \(-0.462987\pi\)
−0.432799 + 0.901490i \(0.642474\pi\)
\(98\) −26.4017 + 21.5563i −2.66697 + 2.17752i
\(99\) 5.14299i 0.516890i
\(100\) −15.3874 18.8462i −1.53874 1.88462i
\(101\) 0.221561 + 5.49798i 0.0220462 + 0.547070i 0.972042 + 0.234807i \(0.0754458\pi\)
−0.949996 + 0.312263i \(0.898913\pi\)
\(102\) 5.61620 + 13.1817i 0.556086 + 1.30518i
\(103\) −0.852077 + 2.24674i −0.0839577 + 0.221378i −0.970420 0.241422i \(-0.922386\pi\)
0.886463 + 0.462800i \(0.153155\pi\)
\(104\) −24.4690 + 3.96367i −2.39938 + 0.388669i
\(105\) 5.09486 + 13.4340i 0.497208 + 1.31103i
\(106\) −4.45011 + 4.27439i −0.432233 + 0.415166i
\(107\) 3.93873 + 13.5981i 0.380772 + 1.31458i 0.890791 + 0.454413i \(0.150151\pi\)
−0.510020 + 0.860163i \(0.670362\pi\)
\(108\) −4.64820 + 0.375241i −0.447273 + 0.0361076i
\(109\) 2.02732 3.86273i 0.194182 0.369983i −0.768825 0.639459i \(-0.779158\pi\)
0.963007 + 0.269476i \(0.0868506\pi\)
\(110\) 30.6046 + 29.3961i 2.91804 + 2.80281i
\(111\) 2.96046 6.94845i 0.280994 0.659518i
\(112\) 35.3871 + 13.4206i 3.34377 + 1.26812i
\(113\) 12.8999 + 2.09643i 1.21352 + 0.197216i 0.733283 0.679924i \(-0.237987\pi\)
0.480235 + 0.877140i \(0.340551\pi\)
\(114\) −0.216949 0.137190i −0.0203191 0.0128490i
\(115\) 26.3137 7.62185i 2.45376 0.710741i
\(116\) 10.8675 15.7442i 1.00902 1.46181i
\(117\) 1.67723 3.19169i 0.155060 0.295072i
\(118\) 2.86214 + 4.14653i 0.263481 + 0.381719i
\(119\) 19.3262 + 15.7794i 1.77163 + 1.44649i
\(120\) 13.8983 17.0223i 1.26873 1.55391i
\(121\) −12.3517 9.28168i −1.12288 0.843789i
\(122\) −8.28098 1.00549i −0.749725 0.0910331i
\(123\) −0.433927 1.29977i −0.0391259 0.117196i
\(124\) 0.112088 + 1.38845i 0.0100658 + 0.124687i
\(125\) −0.460666 + 0.519984i −0.0412032 + 0.0465088i
\(126\) −9.80660 + 6.20132i −0.873642 + 0.552458i
\(127\) −8.06325 + 3.43543i −0.715498 + 0.304845i −0.718866 0.695149i \(-0.755338\pi\)
0.00336750 + 0.999994i \(0.498928\pi\)
\(128\) 0.999962 + 6.15301i 0.0883850 + 0.543855i
\(129\) 1.57045 1.39130i 0.138270 0.122497i
\(130\) 9.40632 + 28.2237i 0.824989 + 2.47538i
\(131\) −13.5204 11.9780i −1.18128 1.04653i −0.997984 0.0634687i \(-0.979784\pi\)
−0.183300 0.983057i \(-0.558678\pi\)
\(132\) −12.8183 + 20.2705i −1.11569 + 1.76432i
\(133\) −0.445519 0.0359660i −0.0386314 0.00311865i
\(134\) 2.28759 + 11.2054i 0.197618 + 0.967996i
\(135\) 0.764962 + 3.10357i 0.0658374 + 0.267113i
\(136\) 6.12141 37.6665i 0.524906 3.22988i
\(137\) 5.53447 + 8.75206i 0.472842 + 0.747739i 0.994423 0.105462i \(-0.0336322\pi\)
−0.521582 + 0.853201i \(0.674658\pi\)
\(138\) 10.2813 + 19.5893i 0.875200 + 1.66755i
\(139\) −5.57989 + 19.2640i −0.473280 + 1.63395i 0.268479 + 0.963286i \(0.413479\pi\)
−0.741759 + 0.670667i \(0.766008\pi\)
\(140\) 13.4020 65.6472i 1.13267 5.54820i
\(141\) −0.777968 + 0.0313511i −0.0655168 + 0.00264024i
\(142\) 36.3117 19.0579i 3.04721 1.59930i
\(143\) −7.94076 16.7571i −0.664039 1.40130i
\(144\) 7.45545 + 3.91292i 0.621288 + 0.326077i
\(145\) −11.8470 5.62146i −0.983839 0.466837i
\(146\) −8.45783 14.6494i −0.699975 1.21239i
\(147\) −6.60201 + 11.4350i −0.544525 + 0.943145i
\(148\) −28.9865 + 20.0080i −2.38268 + 1.64464i
\(149\) 2.10580 2.80231i 0.172514 0.229574i −0.704902 0.709304i \(-0.749009\pi\)
0.877416 + 0.479731i \(0.159266\pi\)
\(150\) −11.6634 6.73385i −0.952311 0.549817i
\(151\) −1.02512 + 0.124472i −0.0834231 + 0.0101294i −0.162142 0.986767i \(-0.551840\pi\)
0.0787187 + 0.996897i \(0.474917\pi\)
\(152\) 0.293070 + 0.617633i 0.0237711 + 0.0500966i
\(153\) 3.84511 + 4.00318i 0.310858 + 0.323638i
\(154\) −4.80171 + 59.4798i −0.386932 + 4.79302i
\(155\) 0.927062 0.228500i 0.0744634 0.0183536i
\(156\) −14.5655 + 8.39942i −1.16618 + 0.672492i
\(157\) −11.8098 2.91084i −0.942522 0.232311i −0.262024 0.965061i \(-0.584390\pi\)
−0.680497 + 0.732751i \(0.738236\pi\)
\(158\) 3.86315 11.5715i 0.307335 0.920582i
\(159\) −1.02474 + 2.15960i −0.0812673 + 0.171267i
\(160\) −24.2095 + 8.08231i −1.91393 + 0.638962i
\(161\) 31.7042 + 21.8839i 2.49864 + 1.72469i
\(162\) −2.33211 + 1.10660i −0.183228 + 0.0869428i
\(163\) −18.4463 0.743361i −1.44483 0.0582245i −0.694595 0.719401i \(-0.744417\pi\)
−0.750231 + 0.661176i \(0.770058\pi\)
\(164\) −1.52925 + 6.20442i −0.119414 + 0.484483i
\(165\) 15.1239 + 6.44367i 1.17739 + 0.501639i
\(166\) 12.4889 2.02965i 0.969328 0.157531i
\(167\) −21.0562 4.29865i −1.62938 0.332639i −0.703566 0.710630i \(-0.748410\pi\)
−0.925809 + 0.377991i \(0.876615\pi\)
\(168\) 30.9021 2.38415
\(169\) 0.536831 12.9889i 0.0412947 0.999147i
\(170\) −45.7996 −3.51267
\(171\) −0.0974296 0.0198904i −0.00745062 0.00152106i
\(172\) −9.65741 + 1.56948i −0.736370 + 0.119672i
\(173\) −10.6002 4.51631i −0.805917 0.343369i −0.0505916 0.998719i \(-0.516111\pi\)
−0.755325 + 0.655350i \(0.772521\pi\)
\(174\) 2.53426 10.2819i 0.192122 0.779469i
\(175\) −23.4323 0.944290i −1.77132 0.0713816i
\(176\) 39.1226 18.5639i 2.94897 1.39931i
\(177\) 1.60635 + 1.10878i 0.120740 + 0.0833411i
\(178\) −2.90849 + 0.970996i −0.218001 + 0.0727793i
\(179\) 5.90967 12.4544i 0.441710 0.930884i −0.553475 0.832866i \(-0.686699\pi\)
0.995185 0.0980177i \(-0.0312502\pi\)
\(180\) 4.72028 14.1390i 0.351829 1.05386i
\(181\) −8.58701 2.11651i −0.638268 0.157319i −0.0931147 0.995655i \(-0.529682\pi\)
−0.545153 + 0.838337i \(0.683528\pi\)
\(182\) −22.3774 + 35.3467i −1.65872 + 2.62007i
\(183\) −3.13768 + 0.773367i −0.231944 + 0.0571690i
\(184\) 4.74123 58.7307i 0.349528 4.32968i
\(185\) 16.7240 + 17.4115i 1.22957 + 1.28012i
\(186\) 0.330551 + 0.696621i 0.0242372 + 0.0510787i
\(187\) 28.3391 3.44099i 2.07236 0.251630i
\(188\) 3.14442 + 1.81543i 0.229330 + 0.132404i
\(189\) −2.70027 + 3.59341i −0.196416 + 0.261382i
\(190\) 0.675247 0.466089i 0.0489876 0.0338137i
\(191\) −9.51368 + 16.4782i −0.688386 + 1.19232i 0.283974 + 0.958832i \(0.408347\pi\)
−0.972360 + 0.233487i \(0.924986\pi\)
\(192\) −1.88580 3.26631i −0.136096 0.235725i
\(193\) 4.77638 + 2.26642i 0.343811 + 0.163140i 0.592766 0.805375i \(-0.298036\pi\)
−0.248955 + 0.968515i \(0.580087\pi\)
\(194\) 7.42424 + 3.89654i 0.533030 + 0.279756i
\(195\) 7.28433 + 8.93106i 0.521642 + 0.639567i
\(196\) 54.5216 28.6151i 3.89440 2.04394i
\(197\) −24.7581 + 0.997718i −1.76394 + 0.0710845i −0.900895 0.434037i \(-0.857089\pi\)
−0.863048 + 0.505122i \(0.831448\pi\)
\(198\) −2.65550 + 13.0075i −0.188718 + 0.924404i
\(199\) 3.52545 12.1713i 0.249913 0.862799i −0.733233 0.679977i \(-0.761990\pi\)
0.983146 0.182822i \(-0.0585231\pi\)
\(200\) 16.6691 + 31.7602i 1.17868 + 2.24579i
\(201\) 2.36792 + 3.74457i 0.167020 + 0.264122i
\(202\) 2.27843 14.0197i 0.160310 0.986426i
\(203\) −4.41291 17.9039i −0.309725 1.25661i
\(204\) −5.17760 25.3616i −0.362505 1.77567i
\(205\) 4.36587 + 0.352449i 0.304926 + 0.0246161i
\(206\) 3.31512 5.24244i 0.230975 0.365258i
\(207\) 6.41513 + 5.68331i 0.445882 + 0.395017i
\(208\) 30.3331 + 1.23803i 2.10322 + 0.0858416i
\(209\) −0.382799 + 0.339131i −0.0264788 + 0.0234582i
\(210\) −5.94933 36.6077i −0.410543 2.52617i
\(211\) −16.0381 + 6.83319i −1.10411 + 0.470416i −0.865606 0.500726i \(-0.833067\pi\)
−0.238502 + 0.971142i \(0.576656\pi\)
\(212\) 9.42146 5.95777i 0.647068 0.409181i
\(213\) 10.5349 11.8914i 0.721837 0.814785i
\(214\) −2.94058 36.4256i −0.201014 2.49000i
\(215\) 2.12373 + 6.36135i 0.144837 + 0.433840i
\(216\) 6.82481 + 0.828681i 0.464369 + 0.0563846i
\(217\) 1.07338 + 0.806592i 0.0728657 + 0.0547550i
\(218\) −7.12190 + 8.72275i −0.482356 + 0.590779i
\(219\) −5.07603 4.14445i −0.343006 0.280056i
\(220\) −43.5489 63.0915i −2.93607 4.25363i
\(221\) 18.7091 + 7.10646i 1.25851 + 0.478032i
\(222\) −11.0752 + 16.0452i −0.743321 + 1.07689i
\(223\) 4.13832 1.19868i 0.277122 0.0802694i −0.136746 0.990606i \(-0.543665\pi\)
0.413868 + 0.910337i \(0.364177\pi\)
\(224\) −30.3344 19.1823i −2.02680 1.28167i
\(225\) −5.14977 0.836919i −0.343318 0.0557946i
\(226\) −31.5436 11.9629i −2.09825 0.795760i
\(227\) −9.16708 + 21.5159i −0.608441 + 1.42806i 0.275884 + 0.961191i \(0.411029\pi\)
−0.884325 + 0.466872i \(0.845381\pi\)
\(228\) 0.334433 + 0.321228i 0.0221484 + 0.0212738i
\(229\) 1.41112 2.68866i 0.0932493 0.177672i −0.834364 0.551214i \(-0.814165\pi\)
0.927613 + 0.373543i \(0.121857\pi\)
\(230\) −70.4873 + 5.69032i −4.64779 + 0.375209i
\(231\) 6.43160 + 22.2045i 0.423168 + 1.46095i
\(232\) −20.3404 + 19.5373i −1.33542 + 1.28268i
\(233\) −6.21154 16.3785i −0.406932 1.07299i −0.969252 0.246071i \(-0.920860\pi\)
0.562320 0.826920i \(-0.309909\pi\)
\(234\) −5.88998 + 7.20634i −0.385040 + 0.471093i
\(235\) 0.882527 2.32703i 0.0575697 0.151799i
\(236\) −3.56773 8.37377i −0.232239 0.545086i
\(237\) −0.190296 4.72215i −0.0123611 0.306736i
\(238\) −40.7319 49.8876i −2.64026 3.23373i
\(239\) 18.1204i 1.17211i −0.810270 0.586056i \(-0.800680\pi\)
0.810270 0.586056i \(-0.199320\pi\)
\(240\) −20.8476 + 17.0215i −1.34571 + 1.09874i
\(241\) −0.983157 0.284775i −0.0633307 0.0183440i 0.246401 0.969168i \(-0.420752\pi\)
−0.309732 + 0.950824i \(0.600239\pi\)
\(242\) 26.4471 + 29.8526i 1.70008 + 1.91900i
\(243\) −0.692724 + 0.721202i −0.0444383 + 0.0462652i
\(244\) 14.2943 + 4.77215i 0.915101 + 0.305506i
\(245\) −25.3550 33.7414i −1.61987 2.15566i
\(246\) 0.426361 + 3.51140i 0.0271838 + 0.223878i
\(247\) −0.348159 + 0.0856233i −0.0221528 + 0.00544808i
\(248\) 0.247534 2.03862i 0.0157184 0.129453i
\(249\) 4.24493 2.45081i 0.269012 0.155314i
\(250\) 1.43359 1.07727i 0.0906682 0.0681327i
\(251\) −0.519150 + 12.8826i −0.0327685 + 0.813141i 0.896347 + 0.443352i \(0.146211\pi\)
−0.929116 + 0.369789i \(0.879430\pi\)
\(252\) 19.5990 7.43291i 1.23462 0.468229i
\(253\) 43.1873 8.81675i 2.71516 0.554305i
\(254\) 22.1672 4.52547i 1.39089 0.283953i
\(255\) −16.5896 + 6.29160i −1.03888 + 0.393995i
\(256\) 0.951670 23.6155i 0.0594794 1.47597i
\(257\) 3.43200 2.57898i 0.214082 0.160872i −0.488292 0.872680i \(-0.662380\pi\)
0.702374 + 0.711808i \(0.252123\pi\)
\(258\) −4.69032 + 2.70796i −0.292006 + 0.168590i
\(259\) −4.09212 + 33.7016i −0.254272 + 2.09412i
\(260\) −6.45074 53.3562i −0.400058 3.30901i
\(261\) −0.494486 4.07246i −0.0306079 0.252079i
\(262\) 28.0108 + 37.2756i 1.73051 + 2.30289i
\(263\) 11.3337 + 3.78376i 0.698868 + 0.233316i 0.643831 0.765168i \(-0.277344\pi\)
0.0550371 + 0.998484i \(0.482472\pi\)
\(264\) 24.4931 25.5001i 1.50745 1.56942i
\(265\) −5.06677 5.71920i −0.311249 0.351328i
\(266\) 1.10822 + 0.321001i 0.0679495 + 0.0196818i
\(267\) −0.920128 + 0.751262i −0.0563109 + 0.0459765i
\(268\) 20.6606i 1.26205i
\(269\) 15.3252 + 18.7700i 0.934395 + 1.14443i 0.989294 + 0.145934i \(0.0466186\pi\)
−0.0548997 + 0.998492i \(0.517484\pi\)
\(270\) −0.332240 8.24445i −0.0202195 0.501741i
\(271\) 5.74248 + 13.4781i 0.348831 + 0.818737i 0.998296 + 0.0583455i \(0.0185825\pi\)
−0.649465 + 0.760391i \(0.725007\pi\)
\(272\) −16.5729 + 43.6993i −1.00488 + 2.64966i
\(273\) −3.24990 + 15.8774i −0.196693 + 0.960941i
\(274\) −9.47864 24.9931i −0.572626 1.50989i
\(275\) −19.3518 + 18.5877i −1.16696 + 1.12088i
\(276\) −11.1195 38.3891i −0.669317 2.31075i
\(277\) 16.4948 1.33160i 0.991078 0.0800081i 0.425721 0.904854i \(-0.360020\pi\)
0.565357 + 0.824846i \(0.308738\pi\)
\(278\) 24.0592 45.8409i 1.44297 2.74936i
\(279\) 0.215429 + 0.206922i 0.0128974 + 0.0123881i
\(280\) −38.7173 + 90.8729i −2.31380 + 5.43069i
\(281\) 13.2123 + 5.01075i 0.788177 + 0.298916i 0.715658 0.698451i \(-0.246127\pi\)
0.0725191 + 0.997367i \(0.476896\pi\)
\(282\) 1.98380 + 0.322400i 0.118134 + 0.0191986i
\(283\) 19.2782 + 12.1908i 1.14597 + 0.724669i 0.965882 0.258981i \(-0.0833869\pi\)
0.180090 + 0.983650i \(0.442361\pi\)
\(284\) −71.1599 + 20.6117i −4.22256 + 1.22308i
\(285\) 0.180561 0.261588i 0.0106955 0.0154951i
\(286\) 11.4313 + 46.4816i 0.675947 + 2.74851i
\(287\) 3.49888 + 5.06901i 0.206533 + 0.299214i
\(288\) −6.18504 5.04993i −0.364457 0.297570i
\(289\) −8.73425 + 10.6975i −0.513780 + 0.629266i
\(290\) 27.0605 + 20.3347i 1.58905 + 1.19409i
\(291\) 3.22450 + 0.391525i 0.189023 + 0.0229516i
\(292\) 9.67705 + 28.9863i 0.566306 + 1.69629i
\(293\) −1.13727 14.0876i −0.0664398 0.823004i −0.941070 0.338213i \(-0.890178\pi\)
0.874630 0.484791i \(-0.161104\pi\)
\(294\) 22.6019 25.5123i 1.31817 1.48791i
\(295\) −5.27316 + 3.33454i −0.307015 + 0.194145i
\(296\) 47.7701 20.3529i 2.77658 1.18299i
\(297\) 0.824994 + 5.07639i 0.0478710 + 0.294562i
\(298\) −6.77285 + 6.00022i −0.392341 + 0.347584i
\(299\) 29.6770 + 8.61260i 1.71626 + 0.498080i
\(300\) 18.2113 + 16.1338i 1.05143 + 0.931487i
\(301\) −5.04040 + 7.97076i −0.290524 + 0.459427i
\(302\) 2.65698 + 0.214493i 0.152892 + 0.0123427i
\(303\) −1.10063 5.39124i −0.0632295 0.309719i
\(304\) −0.200371 0.812938i −0.0114921 0.0466252i
\(305\) 1.65698 10.1958i 0.0948786 0.583812i
\(306\) −7.65796 12.1101i −0.437776 0.692288i
\(307\) 14.9632 + 28.5101i 0.853998 + 1.62716i 0.776460 + 0.630167i \(0.217014\pi\)
0.0775381 + 0.996989i \(0.475294\pi\)
\(308\) 29.9926 103.546i 1.70899 5.90011i
\(309\) 0.480640 2.35433i 0.0273427 0.133933i
\(310\) −2.46268 + 0.0992428i −0.139871 + 0.00563661i
\(311\) −9.31378 + 4.88825i −0.528136 + 0.277187i −0.707644 0.706570i \(-0.750242\pi\)
0.179508 + 0.983757i \(0.442549\pi\)
\(312\) 23.5163 7.83743i 1.33135 0.443707i
\(313\) 5.71990 + 3.00204i 0.323308 + 0.169685i 0.618567 0.785732i \(-0.287714\pi\)
−0.295259 + 0.955417i \(0.595406\pi\)
\(314\) 28.3660 + 13.4598i 1.60078 + 0.759581i
\(315\) −7.18386 12.4428i −0.404765 0.701073i
\(316\) −11.0194 + 19.0861i −0.619888 + 1.07368i
\(317\) −0.421795 + 0.291144i −0.0236904 + 0.0163523i −0.579851 0.814722i \(-0.696889\pi\)
0.556161 + 0.831075i \(0.312274\pi\)
\(318\) 3.70683 4.93289i 0.207868 0.276623i
\(319\) −18.2718 10.5492i −1.02302 0.590643i
\(320\) 11.9679 1.45316i 0.669025 0.0812343i
\(321\) −6.06901 12.7902i −0.338739 0.713878i
\(322\) −68.8861 71.7181i −3.83887 3.99669i
\(323\) 0.0444141 0.550167i 0.00247127 0.0306121i
\(324\) 4.52781 1.11601i 0.251545 0.0620003i
\(325\) −18.0713 + 5.22435i −1.00242 + 0.289795i
\(326\) 46.2701 + 11.4045i 2.56266 + 0.631639i
\(327\) −1.38144 + 4.13792i −0.0763938 + 0.228827i
\(328\) 4.03856 8.51109i 0.222992 0.469946i
\(329\) 3.31961 1.10825i 0.183016 0.0610998i
\(330\) −34.9238 24.1061i −1.92249 1.32700i
\(331\) −16.1937 + 7.68400i −0.890086 + 0.422351i −0.818114 0.575056i \(-0.804980\pi\)
−0.0719714 + 0.997407i \(0.522929\pi\)
\(332\) −22.8393 0.920393i −1.25347 0.0505131i
\(333\) −1.80751 + 7.33336i −0.0990510 + 0.401866i
\(334\) 51.0352 + 21.7441i 2.79252 + 1.18978i
\(335\) −13.9783 + 2.27170i −0.763718 + 0.124116i
\(336\) −37.0817 7.57028i −2.02297 0.412992i
\(337\) −10.7870 −0.587605 −0.293803 0.955866i \(-0.594921\pi\)
−0.293803 + 0.955866i \(0.594921\pi\)
\(338\) −8.06436 + 32.5740i −0.438643 + 1.77179i
\(339\) −13.0691 −0.709817
\(340\) 81.0672 + 16.5500i 4.39648 + 0.897549i
\(341\) 1.51636 0.246432i 0.0821154 0.0133451i
\(342\) 0.236146 + 0.100612i 0.0127693 + 0.00544050i
\(343\) 6.67365 27.0761i 0.360343 1.46197i
\(344\) 14.4126 + 0.580808i 0.777075 + 0.0313151i
\(345\) −24.7503 + 11.7442i −1.33251 + 0.632284i
\(346\) 24.4778 + 16.8958i 1.31593 + 0.908322i
\(347\) 16.9544 5.66022i 0.910161 0.303856i 0.177238 0.984168i \(-0.443284\pi\)
0.732923 + 0.680312i \(0.238156\pi\)
\(348\) −8.20117 + 17.2836i −0.439629 + 0.926498i
\(349\) 2.04484 6.12504i 0.109458 0.327866i −0.879534 0.475836i \(-0.842146\pi\)
0.988992 + 0.147970i \(0.0472738\pi\)
\(350\) 58.7768 + 14.4872i 3.14175 + 0.774372i
\(351\) −1.14352 + 3.41941i −0.0610368 + 0.182515i
\(352\) −39.8723 + 9.82764i −2.12520 + 0.523815i
\(353\) −0.451317 + 5.59057i −0.0240212 + 0.297556i 0.973581 + 0.228343i \(0.0733308\pi\)
−0.997602 + 0.0692127i \(0.977951\pi\)
\(354\) −3.49023 3.63371i −0.185503 0.193130i
\(355\) 21.7696 + 45.8784i 1.15541 + 2.43497i
\(356\) 5.49902 0.667702i 0.291447 0.0353881i
\(357\) −21.6071 12.4749i −1.14357 0.660241i
\(358\) −21.3772 + 28.4479i −1.12982 + 1.50352i
\(359\) −23.1521 + 15.9808i −1.22192 + 0.843432i −0.991557 0.129672i \(-0.958608\pi\)
−0.230365 + 0.973104i \(0.573992\pi\)
\(360\) −10.9877 + 19.0313i −0.579103 + 1.00304i
\(361\) −9.49506 16.4459i −0.499740 0.865575i
\(362\) 20.6252 + 9.78679i 1.08404 + 0.514382i
\(363\) 13.6806 + 7.18014i 0.718046 + 0.376860i
\(364\) 52.3816 54.4789i 2.74554 2.85547i
\(365\) 18.5472 9.73435i 0.970807 0.509519i
\(366\) 8.33504 0.335891i 0.435680 0.0175573i
\(367\) 1.39799 6.84779i 0.0729743 0.357452i −0.926865 0.375396i \(-0.877507\pi\)
0.999839 + 0.0179437i \(0.00571198\pi\)
\(368\) −20.0770 + 69.3138i −1.04659 + 3.61323i
\(369\) 0.636806 + 1.21333i 0.0331508 + 0.0631635i
\(370\) −33.3076 52.6718i −1.73158 2.73828i
\(371\) 1.72354 10.6054i 0.0894820 0.550605i
\(372\) −0.333360 1.35249i −0.0172839 0.0701235i
\(373\) 0.329094 + 1.61201i 0.0170398 + 0.0834667i 0.987421 0.158111i \(-0.0505403\pi\)
−0.970382 + 0.241578i \(0.922335\pi\)
\(374\) −73.4511 5.92959i −3.79807 0.306612i
\(375\) 0.371289 0.587147i 0.0191733 0.0303201i
\(376\) −4.00664 3.54958i −0.206627 0.183055i
\(377\) −7.89901 12.5055i −0.406820 0.644068i
\(378\) 8.68485 7.69410i 0.446700 0.395742i
\(379\) −2.32634 14.3145i −0.119496 0.735289i −0.975775 0.218776i \(-0.929794\pi\)
0.856279 0.516513i \(-0.172770\pi\)
\(380\) −1.36364 + 0.580992i −0.0699532 + 0.0298043i
\(381\) 7.40776 4.68438i 0.379511 0.239988i
\(382\) 32.5700 36.7639i 1.66643 1.88101i
\(383\) −2.07141 25.6590i −0.105844 1.31112i −0.803768 0.594943i \(-0.797174\pi\)
0.697923 0.716172i \(-0.254108\pi\)
\(384\) −1.97403 5.91293i −0.100737 0.301743i
\(385\) −73.3543 8.90682i −3.73848 0.453934i
\(386\) −10.9101 8.19838i −0.555307 0.417286i
\(387\) −1.32693 + 1.62520i −0.0674518 + 0.0826135i
\(388\) −11.7332 9.57983i −0.595661 0.486342i
\(389\) 0.843816 + 1.22248i 0.0427832 + 0.0619821i 0.843792 0.536671i \(-0.180318\pi\)
−0.801009 + 0.598653i \(0.795703\pi\)
\(390\) −13.8119 26.3494i −0.699393 1.33425i
\(391\) −27.0242 + 39.1513i −1.36667 + 1.97997i
\(392\) −87.1927 + 25.2557i −4.40390 + 1.27560i
\(393\) 15.2667 + 9.65410i 0.770105 + 0.486985i
\(394\) 63.1327 + 10.2601i 3.18058 + 0.516895i
\(395\) 14.1247 + 5.35680i 0.710692 + 0.269530i
\(396\) 9.40069 22.0642i 0.472403 1.10877i
\(397\) 2.06398 + 1.98248i 0.103588 + 0.0994978i 0.742730 0.669591i \(-0.233531\pi\)
−0.639142 + 0.769089i \(0.720710\pi\)
\(398\) −15.2009 + 28.9629i −0.761954 + 1.45178i
\(399\) 0.445519 0.0359660i 0.0223038 0.00180055i
\(400\) −12.2219 42.1950i −0.611097 2.10975i
\(401\) 15.2915 14.6877i 0.763622 0.733469i −0.205874 0.978579i \(-0.566004\pi\)
0.969495 + 0.245110i \(0.0788241\pi\)
\(402\) −4.05544 10.6933i −0.202267 0.533334i
\(403\) 1.02140 + 0.341580i 0.0508798 + 0.0170153i
\(404\) −9.09904 + 23.9922i −0.452694 + 1.19366i
\(405\) −1.25290 2.94067i −0.0622573 0.146123i
\(406\) 1.91662 + 47.5605i 0.0951204 + 2.36039i
\(407\) 24.5668 + 30.0889i 1.21773 + 1.49145i
\(408\) 38.1607i 1.88924i
\(409\) 0.00394314 0.00321947i 0.000194976 0.000159193i −0.632348 0.774685i \(-0.717909\pi\)
0.632543 + 0.774525i \(0.282011\pi\)
\(410\) −10.8601 3.14565i −0.536340 0.155353i
\(411\) −6.86673 7.75094i −0.338711 0.382325i
\(412\) −7.76229 + 8.08140i −0.382420 + 0.398142i
\(413\) −8.32187 2.77825i −0.409492 0.136709i
\(414\) −13.2905 17.6864i −0.653191 0.869240i
\(415\) 1.88855 + 15.5536i 0.0927052 + 0.763496i
\(416\) −27.9494 6.90417i −1.37033 0.338505i
\(417\) 2.41747 19.9096i 0.118384 0.974979i
\(418\) 1.14327 0.660068i 0.0559192 0.0322850i
\(419\) 20.4758 15.3866i 1.00031 0.751683i 0.0315029 0.999504i \(-0.489971\pi\)
0.968806 + 0.247820i \(0.0797142\pi\)
\(420\) −2.69787 + 66.9469i −0.131642 + 3.26667i
\(421\) −37.4911 + 14.2185i −1.82720 + 0.692967i −0.838144 + 0.545449i \(0.816359\pi\)
−0.989059 + 0.147518i \(0.952872\pi\)
\(422\) 44.0913 9.00131i 2.14633 0.438177i
\(423\) 0.762865 0.155740i 0.0370918 0.00757234i
\(424\) −15.3658 + 5.82749i −0.746231 + 0.283008i
\(425\) 1.16610 28.9364i 0.0565639 1.40362i
\(426\) −32.7844 + 24.6359i −1.58841 + 1.19361i
\(427\) 12.5795 7.26279i 0.608766 0.351471i
\(428\) −7.95768 + 65.5374i −0.384649 + 3.16787i
\(429\) 10.5259 + 15.2663i 0.508198 + 0.737063i
\(430\) −2.08670 17.1855i −0.100629 0.828758i
\(431\) −5.08756 6.77031i −0.245059 0.326114i 0.660108 0.751171i \(-0.270511\pi\)
−0.905167 + 0.425057i \(0.860254\pi\)
\(432\) −7.98658 2.66631i −0.384255 0.128283i
\(433\) 4.04217 4.20834i 0.194254 0.202240i −0.616951 0.787001i \(-0.711632\pi\)
0.811205 + 0.584762i \(0.198812\pi\)
\(434\) −2.29829 2.59423i −0.110321 0.124527i
\(435\) 12.5953 + 3.64828i 0.603899 + 0.174922i
\(436\) 15.7581 12.8661i 0.754675 0.616173i
\(437\) 0.852245i 0.0407684i
\(438\) 10.6982 + 13.1030i 0.511181 + 0.626083i
\(439\) 0.0620426 + 1.53957i 0.00296113 + 0.0734797i 0.999994 0.00349888i \(-0.00111373\pi\)
−0.997033 + 0.0769785i \(0.975473\pi\)
\(440\) 44.2998 + 103.976i 2.11191 + 4.95684i
\(441\) 4.68221 12.3460i 0.222962 0.587904i
\(442\) −43.6493 27.6336i −2.07619 1.31440i
\(443\) −11.1168 29.3127i −0.528176 1.39269i −0.888077 0.459696i \(-0.847959\pi\)
0.359900 0.932991i \(-0.382811\pi\)
\(444\) 25.4017 24.3986i 1.20551 1.15791i
\(445\) −1.05638 3.64706i −0.0500773 0.172887i
\(446\) −11.0854 + 0.894909i −0.524911 + 0.0423752i
\(447\) −1.62901 + 3.10381i −0.0770493 + 0.146805i
\(448\) 12.2265 + 11.7437i 0.577648 + 0.554839i
\(449\) 5.87743 13.7948i 0.277373 0.651019i −0.721782 0.692121i \(-0.756677\pi\)
0.999155 + 0.0411018i \(0.0130868\pi\)
\(450\) 12.5925 + 4.77572i 0.593617 + 0.225129i
\(451\) 6.95613 + 1.13048i 0.327551 + 0.0532323i
\(452\) 51.5105 + 32.5733i 2.42285 + 1.53212i
\(453\) 0.991878 0.287301i 0.0466025 0.0134986i
\(454\) 34.2946 49.6842i 1.60952 2.33180i
\(455\) −42.6183 29.4497i −1.99798 1.38062i
\(456\) −0.388350 0.562623i −0.0181862 0.0263472i
\(457\) 15.9967 + 13.0609i 0.748294 + 0.610963i 0.927923 0.372771i \(-0.121592\pi\)
−0.179629 + 0.983734i \(0.557490\pi\)
\(458\) −4.95721 + 6.07148i −0.231635 + 0.283702i
\(459\) −4.43747 3.33454i −0.207123 0.155643i
\(460\) 126.822 + 15.3989i 5.91308 + 0.717978i
\(461\) −2.34403 7.02124i −0.109172 0.327012i 0.879752 0.475434i \(-0.157709\pi\)
−0.988924 + 0.148422i \(0.952581\pi\)
\(462\) −4.80171 59.4798i −0.223396 2.76725i
\(463\) 8.85080 9.99049i 0.411332 0.464298i −0.505935 0.862572i \(-0.668852\pi\)
0.917266 + 0.398274i \(0.130391\pi\)
\(464\) 29.1942 18.4613i 1.35531 0.857043i
\(465\) −0.878403 + 0.374253i −0.0407350 + 0.0173555i
\(466\) 7.25329 + 44.6313i 0.336002 + 2.06750i
\(467\) 0.396500 0.351268i 0.0183478 0.0162548i −0.653899 0.756582i \(-0.726868\pi\)
0.672247 + 0.740327i \(0.265329\pi\)
\(468\) 13.0296 10.6271i 0.602291 0.491239i
\(469\) −14.9061 13.2057i −0.688300 0.609781i
\(470\) −3.43359 + 5.42979i −0.158380 + 0.250457i
\(471\) 12.1238 + 0.978731i 0.558633 + 0.0450976i
\(472\) 2.68412 + 13.1477i 0.123547 + 0.605172i
\(473\) 2.58234 + 10.4770i 0.118736 + 0.481731i
\(474\) −1.95692 + 12.0414i −0.0898841 + 0.553079i
\(475\) 0.277285 + 0.438491i 0.0127227 + 0.0201193i
\(476\) 54.0700 + 103.022i 2.47829 + 4.72199i
\(477\) 0.665048 2.29601i 0.0304505 0.105127i
\(478\) −9.35620 + 45.8297i −0.427942 + 2.09620i
\(479\) 22.4619 0.905184i 1.02631 0.0413589i 0.478605 0.878030i \(-0.341143\pi\)
0.547705 + 0.836671i \(0.315502\pi\)
\(480\) 22.5995 11.8611i 1.03152 0.541383i
\(481\) 5.43339 + 26.6846i 0.247741 + 1.21671i
\(482\) 2.33953 + 1.22788i 0.106563 + 0.0559285i
\(483\) −34.8041 16.5148i −1.58364 0.751447i
\(484\) −36.0250 62.3971i −1.63750 2.83623i
\(485\) −5.19133 + 8.99165i −0.235726 + 0.408290i
\(486\) 2.12440 1.46637i 0.0963648 0.0665158i
\(487\) −9.49669 + 12.6378i −0.430336 + 0.572673i −0.961573 0.274550i \(-0.911471\pi\)
0.531237 + 0.847223i \(0.321727\pi\)
\(488\) −19.2404 11.1084i −0.870971 0.502856i
\(489\) 18.3267 2.22526i 0.828761 0.100630i
\(490\) 46.7053 + 98.4294i 2.10993 + 4.44659i
\(491\) 12.4094 + 12.9196i 0.560031 + 0.583054i 0.939671 0.342081i \(-0.111132\pi\)
−0.379640 + 0.925134i \(0.623952\pi\)
\(492\) 0.514189 6.36938i 0.0231815 0.287154i
\(493\) 22.1093 5.44946i 0.995755 0.245432i
\(494\) 0.924764 0.0367899i 0.0416071 0.00165525i
\(495\) −15.9616 3.93419i −0.717423 0.176829i
\(496\) −0.796449 + 2.38566i −0.0357616 + 0.107119i
\(497\) −30.6126 + 64.5146i −1.37316 + 2.89388i
\(498\) −12.0016 + 4.00673i −0.537805 + 0.179546i
\(499\) −0.502208 0.346649i −0.0224819 0.0155181i 0.556771 0.830666i \(-0.312040\pi\)
−0.579253 + 0.815148i \(0.696656\pi\)
\(500\) −2.92679 + 1.38878i −0.130890 + 0.0621081i
\(501\) 21.4731 + 0.865334i 0.959345 + 0.0386603i
\(502\) 7.96474 32.3142i 0.355484 1.44225i
\(503\) −32.8450 13.9939i −1.46448 0.623958i −0.494952 0.868921i \(-0.664814\pi\)
−0.969533 + 0.244962i \(0.921224\pi\)
\(504\) −30.5019 + 4.95704i −1.35866 + 0.220804i
\(505\) 17.2329 + 3.51812i 0.766853 + 0.156554i
\(506\) −113.781 −5.05816
\(507\) 1.55369 + 12.9068i 0.0690017 + 0.573212i
\(508\) −40.8721 −1.81341
\(509\) 20.3524 + 4.15497i 0.902104 + 0.184166i 0.628622 0.777711i \(-0.283619\pi\)
0.273482 + 0.961877i \(0.411825\pi\)
\(510\) 45.2065 7.34678i 2.00178 0.325321i
\(511\) 27.0982 + 11.5455i 1.19875 + 0.510742i
\(512\) −11.6167 + 47.1310i −0.513392 + 2.08292i
\(513\) 0.0993585 + 0.00400401i 0.00438679 + 0.000176781i
\(514\) −10.0117 + 4.75062i −0.441598 + 0.209541i
\(515\) 6.32112 + 4.36316i 0.278542 + 0.192264i
\(516\) 9.28058 3.09831i 0.408555 0.136396i
\(517\) 1.71663 3.61772i 0.0754972 0.159107i
\(518\) 27.7510 83.1243i 1.21931 3.65227i
\(519\) 11.1874 + 2.75744i 0.491071 + 0.121038i
\(520\) −6.41631 + 78.9733i −0.281374 + 3.46321i
\(521\) −10.5478 + 2.59980i −0.462108 + 0.113899i −0.463495 0.886100i \(-0.653405\pi\)
0.00138659 + 0.999999i \(0.499559\pi\)
\(522\) −0.852110 + 10.5553i −0.0372958 + 0.461992i
\(523\) −0.981746 1.02211i −0.0429287 0.0446936i 0.699392 0.714739i \(-0.253454\pi\)
−0.742321 + 0.670045i \(0.766275\pi\)
\(524\) −36.1104 76.1011i −1.57749 3.32449i
\(525\) 23.2803 2.82675i 1.01604 0.123369i
\(526\) −26.7113 15.4218i −1.16467 0.672421i
\(527\) −0.996054 + 1.32551i −0.0433888 + 0.0577400i
\(528\) −35.6381 + 24.5992i −1.55095 + 1.07054i
\(529\) −25.2269 + 43.6943i −1.09682 + 1.89975i
\(530\) 9.86172 + 17.0810i 0.428366 + 0.741951i
\(531\) −1.76341 0.836746i −0.0765253 0.0363117i
\(532\) −1.84560 0.968648i −0.0800171 0.0419962i
\(533\) 3.94824 + 2.97009i 0.171017 + 0.128649i
\(534\) 2.71507 1.42498i 0.117492 0.0616648i
\(535\) 45.2156 1.82213i 1.95484 0.0787774i
\(536\) −6.09259 + 29.8435i −0.263160 + 1.28904i
\(537\) −3.83532 + 13.2411i −0.165506 + 0.571394i
\(538\) −29.0685 55.3855i −1.25323 2.38784i
\(539\) −36.2946 57.3953i −1.56332 2.47219i
\(540\) −2.39111 + 14.7131i −0.102897 + 0.633149i
\(541\) 3.52647 + 14.3075i 0.151615 + 0.615126i 0.996749 + 0.0805711i \(0.0256744\pi\)
−0.845134 + 0.534554i \(0.820479\pi\)
\(542\) −7.56453 37.0535i −0.324924 1.59158i
\(543\) 8.81533 + 0.711647i 0.378302 + 0.0305397i
\(544\) 23.6881 37.4597i 1.01562 1.60607i
\(545\) −10.4375 9.24678i −0.447091 0.396088i
\(546\) 16.4176 38.4786i 0.702608 1.64673i
\(547\) −17.2687 + 15.2987i −0.738355 + 0.654125i −0.946032 0.324072i \(-0.894948\pi\)
0.207678 + 0.978197i \(0.433409\pi\)
\(548\) 7.74615 + 47.6640i 0.330899 + 2.03610i
\(549\) 2.97299 1.26667i 0.126884 0.0540602i
\(550\) 58.5415 37.0194i 2.49622 1.57851i
\(551\) −0.270512 + 0.305345i −0.0115242 + 0.0130081i
\(552\) 4.74123 + 58.7307i 0.201800 + 2.49974i
\(553\) 6.72690 + 20.1495i 0.286057 + 0.856845i
\(554\) −42.4058 5.14900i −1.80165 0.218760i
\(555\) −19.3004 14.5033i −0.819256 0.615631i
\(556\) −59.1506 + 72.4464i −2.50854 + 3.07241i
\(557\) 9.42508 + 7.69534i 0.399354 + 0.326062i 0.810748 0.585395i \(-0.199061\pi\)
−0.411394 + 0.911457i \(0.634958\pi\)
\(558\) −0.438016 0.634576i −0.0185427 0.0268637i
\(559\) −1.81416 + 7.34405i −0.0767307 + 0.310620i
\(560\) 68.7215 99.5603i 2.90401 4.20719i
\(561\) −27.4201 + 7.94233i −1.15768 + 0.335326i
\(562\) −30.8289 19.4950i −1.30044 0.822347i
\(563\) 2.29366 + 0.372756i 0.0966663 + 0.0157098i 0.208552 0.978011i \(-0.433125\pi\)
−0.111886 + 0.993721i \(0.535689\pi\)
\(564\) −3.39491 1.28752i −0.142952 0.0542144i
\(565\) 16.3743 38.4320i 0.688874 1.61685i
\(566\) −42.4634 40.7867i −1.78487 1.71439i
\(567\) 2.08888 3.98003i 0.0877247 0.167145i
\(568\) 108.866 8.78858i 4.56792 0.368761i
\(569\) −7.02926 24.2678i −0.294682 1.01736i −0.962104 0.272681i \(-0.912090\pi\)
0.667422 0.744679i \(-0.267398\pi\)
\(570\) −0.591737 + 0.568371i −0.0247851 + 0.0238064i
\(571\) 4.98595 + 13.1469i 0.208656 + 0.550179i 0.997961 0.0638208i \(-0.0203286\pi\)
−0.789306 + 0.614000i \(0.789559\pi\)
\(572\) −3.43745 86.4051i −0.143727 3.61278i
\(573\) 6.74720 17.7909i 0.281868 0.743225i
\(574\) −6.23198 14.6270i −0.260118 0.610519i
\(575\) −1.80050 44.6790i −0.0750861 1.86324i
\(576\) 2.38534 + 2.92151i 0.0993890 + 0.121729i
\(577\) 32.6168i 1.35786i −0.734205 0.678928i \(-0.762445\pi\)
0.734205 0.678928i \(-0.237555\pi\)
\(578\) 27.6139 22.5461i 1.14859 0.937793i
\(579\) −5.07808 1.47088i −0.211038 0.0611279i
\(580\) −40.5502 45.7717i −1.68375 1.90056i
\(581\) −15.2623 + 15.8897i −0.633186 + 0.659217i
\(582\) −7.95315 2.65515i −0.329669 0.110060i
\(583\) −7.38538 9.82815i −0.305871 0.407040i
\(584\) −5.43039 44.7233i −0.224711 1.85066i
\(585\) −8.62264 7.64692i −0.356502 0.316161i
\(586\) −4.39755 + 36.2171i −0.181661 + 1.49611i
\(587\) 28.6847 16.5611i 1.18394 0.683550i 0.227020 0.973890i \(-0.427102\pi\)
0.956924 + 0.290340i \(0.0937683\pi\)
\(588\) −49.2253 + 36.9904i −2.03002 + 1.52546i
\(589\) 0.00119603 0.0296792i 4.92816e−5 0.00122291i
\(590\) 15.0585 5.71093i 0.619948 0.235115i
\(591\) 24.2775 4.95628i 0.998641 0.203874i
\(592\) −62.3089 + 12.7205i −2.56088 + 0.522808i
\(593\) 11.6608 4.42238i 0.478854 0.181605i −0.103355 0.994645i \(-0.532958\pi\)
0.582209 + 0.813039i \(0.302189\pi\)
\(594\) 0.534563 13.2650i 0.0219334 0.544271i
\(595\) 63.7563 47.9097i 2.61375 1.96411i
\(596\) 14.1564 8.17322i 0.579870 0.334788i
\(597\) −1.52739 + 12.5792i −0.0625119 + 0.514832i
\(598\) −70.6112 37.1060i −2.88751 1.51738i
\(599\) −2.75649 22.7018i −0.112627 0.927569i −0.934024 0.357211i \(-0.883728\pi\)
0.821396 0.570358i \(-0.193195\pi\)
\(600\) −21.5479 28.6751i −0.879690 1.17065i
\(601\) 30.0294 + 10.0253i 1.22492 + 0.408940i 0.854269 0.519831i \(-0.174005\pi\)
0.370655 + 0.928771i \(0.379133\pi\)
\(602\) 16.8636 17.5569i 0.687310 0.715565i
\(603\) −2.93793 3.31624i −0.119642 0.135048i
\(604\) −4.62544 1.33978i −0.188207 0.0545147i
\(605\) −38.2549 + 31.2342i −1.55528 + 1.26985i
\(606\) 14.2037i 0.576985i
\(607\) 19.1106 + 23.4062i 0.775675 + 0.950029i 0.999698 0.0245545i \(-0.00781672\pi\)
−0.224024 + 0.974584i \(0.571919\pi\)
\(608\) 0.0319711 + 0.793355i 0.00129660 + 0.0321748i
\(609\) 7.22775 + 16.9641i 0.292883 + 0.687422i
\(610\) −9.45526 + 24.9315i −0.382832 + 1.00945i
\(611\) 2.24513 1.68530i 0.0908282 0.0681798i
\(612\) 9.17884 + 24.2026i 0.371033 + 0.978332i
\(613\) −29.6903 + 28.5180i −1.19918 + 1.15183i −0.214637 + 0.976694i \(0.568857\pi\)
−0.984544 + 0.175136i \(0.943964\pi\)
\(614\) −23.1239 79.8330i −0.933205 3.22180i
\(615\) −4.36587 + 0.352449i −0.176049 + 0.0142121i
\(616\) −73.8580 + 140.725i −2.97582 + 5.66996i
\(617\) −9.95039 9.55748i −0.400588 0.384770i 0.465180 0.885216i \(-0.345990\pi\)
−0.865767 + 0.500447i \(0.833169\pi\)
\(618\) −2.43124 + 5.70634i −0.0977990 + 0.229543i
\(619\) 18.6878 + 7.08734i 0.751126 + 0.284864i 0.700305 0.713843i \(-0.253047\pi\)
0.0508204 + 0.998708i \(0.483816\pi\)
\(620\) 4.39491 + 0.714242i 0.176504 + 0.0286847i
\(621\) −7.24372 4.58065i −0.290680 0.183815i
\(622\) 26.0801 7.55420i 1.04572 0.302896i
\(623\) 3.03309 4.39419i 0.121518 0.176049i
\(624\) −30.1389 + 3.64378i −1.20652 + 0.145868i
\(625\) −13.5575 19.6414i −0.542300 0.785657i
\(626\) −12.9166 10.5461i −0.516250 0.421505i
\(627\) 0.323442 0.396144i 0.0129170 0.0158205i
\(628\) −45.3451 34.0746i −1.80947 1.35973i
\(629\) −41.6179 5.05332i −1.65941 0.201489i
\(630\) 11.7446 + 35.1793i 0.467915 + 1.40158i
\(631\) −0.628159 7.78114i −0.0250066 0.309762i −0.997154 0.0753920i \(-0.975979\pi\)
0.972147 0.234370i \(-0.0753028\pi\)
\(632\) 21.5454 24.3197i 0.857029 0.967386i
\(633\) 14.7343 9.31740i 0.585635 0.370333i
\(634\) 1.21712 0.518567i 0.0483381 0.0205949i
\(635\) 4.49403 + 27.6529i 0.178340 + 1.09737i
\(636\) −8.34376 + 7.39193i −0.330852 + 0.293109i
\(637\) −3.80640 47.4554i −0.150815 1.88025i
\(638\) 40.7656 + 36.1152i 1.61393 + 1.42981i
\(639\) −8.49092 + 13.4273i −0.335896 + 0.531176i
\(640\) 19.8613 + 1.60337i 0.785085 + 0.0633786i
\(641\) 3.91846 + 19.1939i 0.154770 + 0.758113i 0.980881 + 0.194607i \(0.0623430\pi\)
−0.826111 + 0.563507i \(0.809452\pi\)
\(642\) 8.74557 + 35.4822i 0.345160 + 1.40037i
\(643\) −1.58653 + 9.76228i −0.0625664 + 0.384987i 0.936815 + 0.349825i \(0.113759\pi\)
−0.999382 + 0.0351621i \(0.988805\pi\)
\(644\) 96.0155 + 151.836i 3.78354 + 5.98319i
\(645\) −3.11666 5.93830i −0.122718 0.233820i
\(646\) −0.396401 + 1.36854i −0.0155962 + 0.0538443i
\(647\) −2.94377 + 14.4195i −0.115732 + 0.566891i 0.880030 + 0.474918i \(0.157522\pi\)
−0.995762 + 0.0919726i \(0.970683\pi\)
\(648\) −6.86936 + 0.276826i −0.269854 + 0.0108747i
\(649\) −8.88854 + 4.66507i −0.348906 + 0.183120i
\(650\) 48.4031 3.88242i 1.89852 0.152281i
\(651\) −1.18887 0.623965i −0.0465953 0.0244551i
\(652\) −77.7788 36.9065i −3.04605 1.44537i
\(653\) −1.76986 3.06548i −0.0692598 0.119962i 0.829316 0.558780i \(-0.188730\pi\)
−0.898576 + 0.438819i \(0.855397\pi\)
\(654\) 5.63045 9.75223i 0.220168 0.381342i
\(655\) −47.5173 + 32.7988i −1.85665 + 1.28156i
\(656\) −6.93119 + 9.22374i −0.270618 + 0.360127i
\(657\) 5.67511 + 3.27653i 0.221407 + 0.127829i
\(658\) −8.96810 + 1.08892i −0.349613 + 0.0424507i
\(659\) 15.2434 + 32.1248i 0.593798 + 1.25140i 0.948605 + 0.316463i \(0.102495\pi\)
−0.354807 + 0.934940i \(0.615453\pi\)
\(660\) 53.1056 + 55.2888i 2.06713 + 2.15211i
\(661\) 3.79630 47.0256i 0.147659 1.82908i −0.322579 0.946543i \(-0.604550\pi\)
0.470238 0.882540i \(-0.344168\pi\)
\(662\) 44.9242 11.0728i 1.74603 0.430357i
\(663\) −19.6068 4.01328i −0.761466 0.155863i
\(664\) 32.7191 + 8.06454i 1.26975 + 0.312965i
\(665\) −0.452428 + 1.35519i −0.0175444 + 0.0525519i
\(666\) 8.35798 17.6141i 0.323865 0.682531i
\(667\) 33.3500 11.1339i 1.29132 0.431105i
\(668\) −82.4769 56.9297i −3.19113 2.20268i
\(669\) −3.89244 + 1.84699i −0.150491 + 0.0714087i
\(670\) 36.5266 + 1.47197i 1.41115 + 0.0568672i
\(671\) 3.97742 16.1370i 0.153547 0.622963i
\(672\) 33.0187 + 14.0679i 1.27372 + 0.542683i
\(673\) 20.3392 3.30545i 0.784020 0.127416i 0.244792 0.969576i \(-0.421280\pi\)
0.539228 + 0.842160i \(0.318716\pi\)
\(674\) 27.2822 + 5.56970i 1.05087 + 0.214537i
\(675\) 5.21733 0.200815
\(676\) 26.0451 54.7432i 1.00173 2.10551i
\(677\) −19.8042 −0.761138 −0.380569 0.924753i \(-0.624272\pi\)
−0.380569 + 0.924753i \(0.624272\pi\)
\(678\) 33.0541 + 6.74803i 1.26943 + 0.259157i
\(679\) −14.4111 + 2.34204i −0.553049 + 0.0898791i
\(680\) −112.218 47.8117i −4.30337 1.83349i
\(681\) 5.59697 22.7078i 0.214476 0.870165i
\(682\) −3.96238 0.159678i −0.151727 0.00611440i
\(683\) 23.9660 11.3720i 0.917033 0.435137i 0.0891369 0.996019i \(-0.471589\pi\)
0.827896 + 0.560882i \(0.189538\pi\)
\(684\) −0.381631 0.263421i −0.0145920 0.0100722i
\(685\) 31.3963 10.4816i 1.19959 0.400483i
\(686\) −30.8591 + 65.0342i −1.17821 + 2.48302i
\(687\) −0.961553 + 2.88020i −0.0366855 + 0.109887i
\(688\) −17.1525 4.22770i −0.653931 0.161180i
\(689\) −1.37815 8.50777i −0.0525034 0.324120i
\(690\) 68.6617 16.9236i 2.61391 0.644270i
\(691\) 0.266366 3.29953i 0.0101330 0.125520i −0.989713 0.143067i \(-0.954304\pi\)
0.999846 + 0.0175468i \(0.00558562\pi\)
\(692\) −37.2212 38.7514i −1.41494 1.47311i
\(693\) −9.91016 20.8852i −0.376456 0.793364i
\(694\) −45.8032 + 5.56152i −1.73867 + 0.211112i
\(695\) 55.5189 + 32.0538i 2.10595 + 1.21587i
\(696\) 16.9430 22.5471i 0.642224 0.854645i
\(697\) −6.25968 + 4.32074i −0.237102 + 0.163660i
\(698\) −8.33432 + 14.4355i −0.315459 + 0.546391i
\(699\) 8.75840 + 15.1700i 0.331273 + 0.573782i
\(700\) −98.8022 46.8822i −3.73437 1.77198i
\(701\) −11.7350 6.15900i −0.443225 0.232622i 0.228320 0.973586i \(-0.426677\pi\)
−0.671545 + 0.740964i \(0.734369\pi\)
\(702\) 4.65773 8.05784i 0.175795 0.304123i
\(703\) 0.665019 0.349029i 0.0250817 0.0131639i
\(704\) 19.3816 0.781052i 0.730472 0.0294370i
\(705\) −0.497816 + 2.43846i −0.0187488 + 0.0918379i
\(706\) 4.02806 13.9065i 0.151598 0.523377i
\(707\) 11.4939 + 21.8999i 0.432274 + 0.823629i
\(708\) 4.86478 + 7.69303i 0.182829 + 0.289122i
\(709\) 6.97949 42.9465i 0.262120 1.61289i −0.438074 0.898939i \(-0.644339\pi\)
0.700194 0.713952i \(-0.253097\pi\)
\(710\) −31.3704 127.275i −1.17731 4.77653i
\(711\) 0.945317 + 4.63047i 0.0354522 + 0.173656i
\(712\) −8.14003 0.657131i −0.305061 0.0246270i
\(713\) −1.36828 + 2.16376i −0.0512424 + 0.0810333i
\(714\) 48.2070 + 42.7077i 1.80410 + 1.59829i
\(715\) −58.0811 + 11.8262i −2.17211 + 0.442275i
\(716\) 48.1183 42.6291i 1.79827 1.59313i
\(717\) 2.90672 + 17.8858i 0.108553 + 0.667956i
\(718\) 66.8071 28.4639i 2.49322 1.06226i
\(719\) 3.87656 2.45139i 0.144571 0.0914214i −0.460222 0.887804i \(-0.652230\pi\)
0.604793 + 0.796383i \(0.293256\pi\)
\(720\) 17.8472 20.1453i 0.665125 0.750771i
\(721\) 0.869098 + 10.7657i 0.0323669 + 0.400936i
\(722\) 15.5230 + 46.4972i 0.577708 + 1.73045i
\(723\) 1.01611 + 0.123378i 0.0377894 + 0.00458846i
\(724\) −32.9709 24.7761i −1.22536 0.920795i
\(725\) −13.5365 + 16.5792i −0.502733 + 0.615736i
\(726\) −30.8933 25.2236i −1.14656 0.936135i
\(727\) −27.9879 40.5474i −1.03801 1.50382i −0.853570 0.520978i \(-0.825568\pi\)
−0.184442 0.982843i \(-0.559048\pi\)
\(728\) −91.7286 + 63.2460i −3.39969 + 2.34405i
\(729\) 0.568065 0.822984i 0.0210394 0.0304809i
\(730\) −51.9354 + 15.0433i −1.92221 + 0.556776i
\(731\) −9.84302 6.22435i −0.364057 0.230216i
\(732\) −14.8747 2.41738i −0.549786 0.0893489i
\(733\) 38.9940 + 14.7885i 1.44027 + 0.546224i 0.946311 0.323258i \(-0.104778\pi\)
0.493964 + 0.869482i \(0.335547\pi\)
\(734\) −7.07150 + 16.5974i −0.261014 + 0.612622i
\(735\) 30.4391 + 29.2372i 1.12276 + 1.07843i
\(736\) 31.8027 60.5950i 1.17226 2.23356i
\(737\) −22.7119 + 1.83349i −0.836602 + 0.0675375i
\(738\) −0.984107 3.39753i −0.0362255 0.125065i
\(739\) −1.77829 + 1.70808i −0.0654156 + 0.0628326i −0.724719 0.689044i \(-0.758031\pi\)
0.659304 + 0.751877i \(0.270851\pi\)
\(740\) 39.9226 + 105.267i 1.46758 + 3.86970i
\(741\) 0.329915 0.140363i 0.0121197 0.00515637i
\(742\) −9.83507 + 25.9330i −0.361057 + 0.952029i
\(743\) −20.9098 49.0771i −0.767106 1.80046i −0.573143 0.819455i \(-0.694276\pi\)
−0.193963 0.981009i \(-0.562134\pi\)
\(744\) 0.0826900 + 2.05193i 0.00303156 + 0.0752275i
\(745\) −7.08631 8.67915i −0.259622 0.317980i
\(746\) 4.24697i 0.155493i
\(747\) −3.79682 + 3.10001i −0.138919 + 0.113423i
\(748\) 127.869 + 37.0376i 4.67534 + 1.35423i
\(749\) 42.1973 + 47.6309i 1.54186 + 1.74040i
\(750\) −1.24222 + 1.29329i −0.0453594 + 0.0472241i
\(751\) −4.45920 1.48870i −0.162718 0.0543234i 0.234142 0.972202i \(-0.424772\pi\)
−0.396860 + 0.917879i \(0.629900\pi\)
\(752\) 3.93831 + 5.24093i 0.143615 + 0.191117i
\(753\) −1.55408 12.7990i −0.0566339 0.466422i
\(754\) 13.5209 + 35.7072i 0.492403 + 1.30038i
\(755\) −0.397870 + 3.27675i −0.0144800 + 0.119253i
\(756\) −18.1528 + 10.4805i −0.660213 + 0.381174i
\(757\) −12.9182 + 9.70741i −0.469520 + 0.352822i −0.809017 0.587786i \(-0.800000\pi\)
0.339496 + 0.940607i \(0.389743\pi\)
\(758\) −1.50738 + 37.4051i −0.0547503 + 1.35862i
\(759\) −41.2137 + 15.6303i −1.49596 + 0.567344i
\(760\) 2.14106 0.437100i 0.0776642 0.0158553i
\(761\) −28.8987 + 5.89971i −1.04758 + 0.213864i −0.692832 0.721099i \(-0.743637\pi\)
−0.354744 + 0.934963i \(0.615432\pi\)
\(762\) −21.1542 + 8.02273i −0.766336 + 0.290633i
\(763\) 0.789559 19.5927i 0.0285840 0.709304i
\(764\) −70.9351 + 53.3042i −2.56634 + 1.92848i
\(765\) 15.3655 8.87129i 0.555542 0.320742i
\(766\) −8.00969 + 65.9657i −0.289402 + 2.38344i
\(767\) −7.03752 0.00362306i −0.254110 0.000130821i
\(768\) 2.84884 + 23.4623i 0.102799 + 0.846623i
\(769\) −3.10725 4.13500i −0.112050 0.149112i 0.739934 0.672680i \(-0.234857\pi\)
−0.851984 + 0.523568i \(0.824601\pi\)
\(770\) 180.927 + 60.4022i 6.52015 + 2.17675i
\(771\) −2.97386 + 3.09611i −0.107101 + 0.111504i
\(772\) 16.3487 + 18.4539i 0.588403 + 0.664169i
\(773\) 22.3928 + 6.48615i 0.805413 + 0.233291i