Properties

Label 507.2.t.b.4.14
Level $507$
Weight $2$
Character 507.4
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 4.14
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.14

$q$-expansion

\(f(q)\) \(=\) \(q+(2.27767 + 0.0917871i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(3.18585 + 0.257189i) q^{4} +(-1.29798 - 0.492260i) q^{5} +(-0.721851 + 2.16221i) q^{6} +(1.28355 + 3.01261i) q^{7} +(2.70692 + 0.328679i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(2.27767 + 0.0917871i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(3.18585 + 0.257189i) q^{4} +(-1.29798 - 0.492260i) q^{5} +(-0.721851 + 2.16221i) q^{6} +(1.28355 + 3.01261i) q^{7} +(2.70692 + 0.328679i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(-2.91120 - 1.24035i) q^{10} +(1.23690 + 1.95600i) q^{11} +(-1.13339 + 2.98851i) q^{12} +(2.73525 + 2.34913i) q^{13} +(2.64700 + 6.97955i) q^{14} +(0.833947 - 1.10978i) q^{15} +(-0.174349 - 0.0283345i) q^{16} +(4.22227 - 1.79894i) q^{17} +(-1.87601 - 1.29492i) q^{18} +(-1.50270 + 0.867585i) q^{19} +(-4.00858 - 1.90210i) q^{20} +(-3.25077 + 0.394715i) q^{21} +(2.63771 + 4.56865i) q^{22} +(4.00318 - 6.93371i) q^{23} +(-1.06881 + 2.50860i) q^{24} +(-2.30011 - 2.03772i) q^{25} +(6.01437 + 5.60162i) q^{26} +(0.748511 - 0.663123i) q^{27} +(3.31440 + 9.92785i) q^{28} +(0.0925207 - 2.29588i) q^{29} +(2.00132 - 2.45117i) q^{30} +(-2.88098 - 3.25196i) q^{31} +(-5.73789 - 1.17140i) q^{32} +(-2.22290 + 0.643870i) q^{33} +(9.78206 - 3.70985i) q^{34} +(-0.183043 - 4.54216i) q^{35} +(-2.55519 - 1.92010i) q^{36} +(-11.7498 + 2.39873i) q^{37} +(-3.50229 + 1.83814i) q^{38} +(-3.01738 + 1.97368i) q^{39} +(-3.35174 - 1.75913i) q^{40} +(-1.82716 - 0.529244i) q^{41} +(-7.44043 + 0.600653i) q^{42} +(0.284648 - 1.39430i) q^{43} +(3.43751 + 6.54963i) q^{44} +(0.833947 + 1.10978i) q^{45} +(9.75435 - 15.4253i) q^{46} +(8.22934 - 5.68030i) q^{47} +(0.0757227 - 0.159582i) q^{48} +(-2.57924 + 2.68528i) q^{49} +(-5.05186 - 4.85238i) q^{50} +(0.553206 + 4.55606i) q^{51} +(8.10992 + 8.18747i) q^{52} +(-0.592201 + 4.87722i) q^{53} +(1.76573 - 1.44167i) q^{54} +(-0.642613 - 3.14773i) q^{55} +(2.48429 + 8.57677i) q^{56} +(-0.415253 - 1.68475i) q^{57} +(0.421464 - 5.22076i) q^{58} +(1.33357 + 8.20578i) q^{59} +(2.94225 - 3.32112i) q^{60} +(5.05622 - 3.79950i) q^{61} +(-6.26344 - 7.67133i) q^{62} +(0.525291 - 3.23224i) q^{63} +(-12.6185 - 3.11018i) q^{64} +(-2.39392 - 4.39559i) q^{65} +(-5.12213 + 1.26249i) q^{66} +(-1.21561 - 15.0581i) q^{67} +(13.9142 - 4.64524i) q^{68} +(5.54620 + 5.77420i) q^{69} -10.3624i q^{70} +(-3.62615 + 3.48296i) q^{71} +(-2.11219 - 1.72455i) q^{72} +(-1.90815 + 3.63568i) q^{73} +(-26.9823 + 4.38505i) q^{74} +(2.59720 - 1.64237i) q^{75} +(-5.01051 + 2.37752i) q^{76} +(-4.30503 + 6.23691i) q^{77} +(-7.05376 + 4.21845i) q^{78} +(6.07029 + 8.79433i) q^{79} +(0.212354 + 0.122603i) q^{80} +(0.428693 + 0.903450i) q^{81} +(-4.11310 - 1.37315i) q^{82} +(0.966001 - 3.91922i) q^{83} +(-10.4580 + 0.421443i) q^{84} +(-6.36598 + 0.256540i) q^{85} +(0.776312 - 3.14962i) q^{86} +(2.17949 + 0.727621i) q^{87} +(2.70528 + 5.70126i) q^{88} +(-0.715057 - 0.412838i) q^{89} +(1.79759 + 2.60426i) q^{90} +(-3.56619 + 11.2555i) q^{91} +(14.5368 - 21.0602i) q^{92} +(3.92510 - 1.86248i) q^{93} +(19.2651 - 12.1825i) q^{94} +(2.37756 - 0.386391i) q^{95} +(2.72153 - 5.18545i) q^{96} +(5.90135 + 4.81831i) q^{97} +(-6.12115 + 5.87944i) q^{98} -2.31427i 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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.27767 + 0.0917871i 1.61056 + 0.0649032i 0.829116 0.559076i \(-0.188844\pi\)
0.781441 + 0.623979i \(0.214485\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) 3.18585 + 0.257189i 1.59293 + 0.128594i
\(5\) −1.29798 0.492260i −0.580476 0.220146i 0.0468504 0.998902i \(-0.485082\pi\)
−0.627326 + 0.778756i \(0.715851\pi\)
\(6\) −0.721851 + 2.16221i −0.294695 + 0.882718i
\(7\) 1.28355 + 3.01261i 0.485138 + 1.13866i 0.965221 + 0.261437i \(0.0841963\pi\)
−0.480083 + 0.877223i \(0.659393\pi\)
\(8\) 2.70692 + 0.328679i 0.957040 + 0.116206i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) −2.91120 1.24035i −0.920602 0.392232i
\(11\) 1.23690 + 1.95600i 0.372938 + 0.589755i 0.978551 0.206005i \(-0.0660462\pi\)
−0.605613 + 0.795760i \(0.707072\pi\)
\(12\) −1.13339 + 2.98851i −0.327183 + 0.862710i
\(13\) 2.73525 + 2.34913i 0.758621 + 0.651533i
\(14\) 2.64700 + 6.97955i 0.707439 + 1.86536i
\(15\) 0.833947 1.10978i 0.215324 0.286544i
\(16\) −0.174349 0.0283345i −0.0435873 0.00708362i
\(17\) 4.22227 1.79894i 1.02405 0.436307i 0.186377 0.982478i \(-0.440326\pi\)
0.837673 + 0.546171i \(0.183915\pi\)
\(18\) −1.87601 1.29492i −0.442180 0.305215i
\(19\) −1.50270 + 0.867585i −0.344743 + 0.199038i −0.662368 0.749179i \(-0.730448\pi\)
0.317624 + 0.948217i \(0.397115\pi\)
\(20\) −4.00858 1.90210i −0.896346 0.425321i
\(21\) −3.25077 + 0.394715i −0.709377 + 0.0861340i
\(22\) 2.63771 + 4.56865i 0.562362 + 0.974039i
\(23\) 4.00318 6.93371i 0.834720 1.44578i −0.0595375 0.998226i \(-0.518963\pi\)
0.894258 0.447552i \(-0.147704\pi\)
\(24\) −1.06881 + 2.50860i −0.218171 + 0.512066i
\(25\) −2.30011 2.03772i −0.460022 0.407544i
\(26\) 6.01437 + 5.60162i 1.17952 + 1.09857i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 3.31440 + 9.92785i 0.626363 + 1.87619i
\(29\) 0.0925207 2.29588i 0.0171807 0.426334i −0.967595 0.252506i \(-0.918745\pi\)
0.984776 0.173828i \(-0.0556137\pi\)
\(30\) 2.00132 2.45117i 0.365390 0.447521i
\(31\) −2.88098 3.25196i −0.517440 0.584069i 0.430471 0.902604i \(-0.358347\pi\)
−0.947911 + 0.318536i \(0.896809\pi\)
\(32\) −5.73789 1.17140i −1.01433 0.207076i
\(33\) −2.22290 + 0.643870i −0.386956 + 0.112083i
\(34\) 9.78206 3.70985i 1.67761 0.636233i
\(35\) −0.183043 4.54216i −0.0309399 0.767766i
\(36\) −2.55519 1.92010i −0.425865 0.320017i
\(37\) −11.7498 + 2.39873i −1.93165 + 0.394349i −0.932171 + 0.362018i \(0.882088\pi\)
−0.999477 + 0.0323306i \(0.989707\pi\)
\(38\) −3.50229 + 1.83814i −0.568147 + 0.298186i
\(39\) −3.01738 + 1.97368i −0.483167 + 0.316042i
\(40\) −3.35174 1.75913i −0.529957 0.278143i
\(41\) −1.82716 0.529244i −0.285355 0.0826540i 0.132454 0.991189i \(-0.457714\pi\)
−0.417808 + 0.908535i \(0.637202\pi\)
\(42\) −7.44043 + 0.600653i −1.14808 + 0.0926828i
\(43\) 0.284648 1.39430i 0.0434084 0.212628i −0.952301 0.305159i \(-0.901290\pi\)
0.995710 + 0.0925306i \(0.0294956\pi\)
\(44\) 3.43751 + 6.54963i 0.518224 + 0.987394i
\(45\) 0.833947 + 1.10978i 0.124317 + 0.165436i
\(46\) 9.75435 15.4253i 1.43820 2.27433i
\(47\) 8.22934 5.68030i 1.20037 0.828558i 0.211508 0.977376i \(-0.432162\pi\)
0.988864 + 0.148819i \(0.0475471\pi\)
\(48\) 0.0757227 0.159582i 0.0109296 0.0230337i
\(49\) −2.57924 + 2.68528i −0.368463 + 0.383611i
\(50\) −5.05186 4.85238i −0.714441 0.686230i
\(51\) 0.553206 + 4.55606i 0.0774643 + 0.637976i
\(52\) 8.10992 + 8.18747i 1.12464 + 1.13540i
\(53\) −0.592201 + 4.87722i −0.0813451 + 0.669937i 0.893815 + 0.448436i \(0.148019\pi\)
−0.975160 + 0.221501i \(0.928904\pi\)
\(54\) 1.76573 1.44167i 0.240285 0.196187i
\(55\) −0.642613 3.14773i −0.0866499 0.424439i
\(56\) 2.48429 + 8.57677i 0.331977 + 1.14612i
\(57\) −0.415253 1.68475i −0.0550016 0.223150i
\(58\) 0.421464 5.22076i 0.0553409 0.685520i
\(59\) 1.33357 + 8.20578i 0.173616 + 1.06830i 0.916839 + 0.399258i \(0.130732\pi\)
−0.743223 + 0.669044i \(0.766704\pi\)
\(60\) 2.94225 3.32112i 0.379843 0.428755i
\(61\) 5.05622 3.79950i 0.647383 0.486476i −0.225605 0.974219i \(-0.572436\pi\)
0.872988 + 0.487742i \(0.162179\pi\)
\(62\) −6.26344 7.67133i −0.795458 0.974259i
\(63\) 0.525291 3.23224i 0.0661804 0.407225i
\(64\) −12.6185 3.11018i −1.57731 0.388773i
\(65\) −2.39392 4.39559i −0.296929 0.545206i
\(66\) −5.12213 + 1.26249i −0.630490 + 0.155402i
\(67\) −1.21561 15.0581i −0.148511 1.83964i −0.458259 0.888819i \(-0.651527\pi\)
0.309748 0.950819i \(-0.399755\pi\)
\(68\) 13.9142 4.64524i 1.68734 0.563318i
\(69\) 5.54620 + 5.77420i 0.667684 + 0.695132i
\(70\) 10.3624i 1.23854i
\(71\) −3.62615 + 3.48296i −0.430344 + 0.413351i −0.876347 0.481680i \(-0.840027\pi\)
0.446003 + 0.895032i \(0.352847\pi\)
\(72\) −2.11219 1.72455i −0.248924 0.203240i
\(73\) −1.90815 + 3.63568i −0.223332 + 0.425524i −0.971180 0.238346i \(-0.923395\pi\)
0.747848 + 0.663870i \(0.231087\pi\)
\(74\) −26.9823 + 4.38505i −3.13663 + 0.509751i
\(75\) 2.59720 1.64237i 0.299899 0.189644i
\(76\) −5.01051 + 2.37752i −0.574745 + 0.272720i
\(77\) −4.30503 + 6.23691i −0.490604 + 0.710762i
\(78\) −7.05376 + 4.21845i −0.798681 + 0.477645i
\(79\) 6.07029 + 8.79433i 0.682961 + 0.989439i 0.999169 + 0.0407497i \(0.0129746\pi\)
−0.316209 + 0.948690i \(0.602410\pi\)
\(80\) 0.212354 + 0.122603i 0.0237419 + 0.0137074i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) −4.11310 1.37315i −0.454216 0.151640i
\(83\) 0.966001 3.91922i 0.106032 0.430191i −0.893801 0.448465i \(-0.851971\pi\)
0.999833 + 0.0182741i \(0.00581716\pi\)
\(84\) −10.4580 + 0.421443i −1.14106 + 0.0459832i
\(85\) −6.36598 + 0.256540i −0.690488 + 0.0278257i
\(86\) 0.776312 3.14962i 0.0837119 0.339633i
\(87\) 2.17949 + 0.727621i 0.233666 + 0.0780092i
\(88\) 2.70528 + 5.70126i 0.288384 + 0.607757i
\(89\) −0.715057 0.412838i −0.0757958 0.0437608i 0.461623 0.887076i \(-0.347267\pi\)
−0.537419 + 0.843315i \(0.680601\pi\)
\(90\) 1.79759 + 2.60426i 0.189483 + 0.274514i
\(91\) −3.56619 + 11.2555i −0.373839 + 1.17989i
\(92\) 14.5368 21.0602i 1.51557 2.19568i
\(93\) 3.92510 1.86248i 0.407014 0.193131i
\(94\) 19.2651 12.1825i 1.98705 1.25653i
\(95\) 2.37756 0.386391i 0.243932 0.0396429i
\(96\) 2.72153 5.18545i 0.277765 0.529237i
\(97\) 5.90135 + 4.81831i 0.599192 + 0.489225i 0.882821 0.469709i \(-0.155641\pi\)
−0.283630 + 0.958934i \(0.591539\pi\)
\(98\) −6.12115 + 5.87944i −0.618329 + 0.593913i
\(99\) 2.31427i 0.232593i
\(100\) −6.80373 7.08344i −0.680373 0.708344i
\(101\) −4.51832 + 1.50844i −0.449590 + 0.150095i −0.532442 0.846467i \(-0.678725\pi\)
0.0828518 + 0.996562i \(0.473597\pi\)
\(102\) 0.841834 + 10.4280i 0.0833540 + 1.03252i
\(103\) 10.1048 2.49061i 0.995655 0.245407i 0.292362 0.956308i \(-0.405559\pi\)
0.703292 + 0.710901i \(0.251713\pi\)
\(104\) 6.63197 + 7.25793i 0.650318 + 0.711699i
\(105\) 4.41376 + 1.08789i 0.430738 + 0.106168i
\(106\) −1.79651 + 11.0543i −0.174492 + 1.07369i
\(107\) 3.93285 + 4.81687i 0.380203 + 0.465664i 0.928886 0.370366i \(-0.120768\pi\)
−0.548683 + 0.836031i \(0.684870\pi\)
\(108\) 2.55519 1.92010i 0.245873 0.184762i
\(109\) −0.473051 + 0.533964i −0.0453100 + 0.0511445i −0.770729 0.637163i \(-0.780108\pi\)
0.725419 + 0.688308i \(0.241646\pi\)
\(110\) −1.17474 7.22847i −0.112007 0.689208i
\(111\) 0.964964 11.9532i 0.0915903 1.13455i
\(112\) −0.138426 0.561615i −0.0130800 0.0530676i
\(113\) −2.90959 10.0451i −0.273711 0.944959i −0.973132 0.230249i \(-0.926046\pi\)
0.699421 0.714710i \(-0.253441\pi\)
\(114\) −0.791173 3.87542i −0.0741001 0.362966i
\(115\) −8.60925 + 7.02924i −0.802817 + 0.655480i
\(116\) 0.885231 7.29053i 0.0821916 0.676909i
\(117\) −1.05627 3.44736i −0.0976522 0.318709i
\(118\) 2.28425 + 18.8125i 0.210282 + 1.73183i
\(119\) 10.8390 + 10.4110i 0.993610 + 0.954376i
\(120\) 2.62219 2.72999i 0.239372 0.249213i
\(121\) 2.41961 5.09922i 0.219965 0.463566i
\(122\) 11.8652 8.18993i 1.07422 0.741481i
\(123\) 1.01670 1.60778i 0.0916725 0.144968i
\(124\) −8.34201 11.1012i −0.749135 0.996918i
\(125\) 5.20805 + 9.92311i 0.465822 + 0.887550i
\(126\) 1.49312 7.31378i 0.133018 0.651563i
\(127\) −6.10568 + 0.492901i −0.541791 + 0.0437379i −0.348333 0.937371i \(-0.613252\pi\)
−0.193458 + 0.981109i \(0.561970\pi\)
\(128\) −17.2053 4.98358i −1.52075 0.440490i
\(129\) 1.26005 + 0.661327i 0.110941 + 0.0582266i
\(130\) −5.04911 10.2314i −0.442836 0.897357i
\(131\) 15.8089 8.29716i 1.38123 0.724926i 0.399775 0.916613i \(-0.369088\pi\)
0.981456 + 0.191687i \(0.0613959\pi\)
\(132\) −7.24741 + 1.47957i −0.630806 + 0.128780i
\(133\) −4.54249 3.41346i −0.393884 0.295985i
\(134\) −1.38663 34.4089i −0.119787 2.97248i
\(135\) −1.29798 + 0.492260i −0.111713 + 0.0423670i
\(136\) 12.0206 3.48181i 1.03076 0.298563i
\(137\) −12.9701 2.64787i −1.10811 0.226223i −0.389083 0.921203i \(-0.627208\pi\)
−0.719029 + 0.694980i \(0.755413\pi\)
\(138\) 12.1024 + 13.6608i 1.03023 + 1.16289i
\(139\) −9.67573 + 11.8506i −0.820685 + 1.00516i 0.179088 + 0.983833i \(0.442685\pi\)
−0.999773 + 0.0213234i \(0.993212\pi\)
\(140\) 0.585045 14.5177i 0.0494453 1.22697i
\(141\) 3.16649 + 9.48479i 0.266666 + 0.798764i
\(142\) −8.57886 + 7.60021i −0.719922 + 0.637795i
\(143\) −1.21168 + 8.25577i −0.101326 + 0.690382i
\(144\) 0.132214 + 0.117132i 0.0110179 + 0.00976097i
\(145\) −1.25026 + 2.93447i −0.103828 + 0.243694i
\(146\) −4.67985 + 8.10574i −0.387307 + 0.670836i
\(147\) −1.86167 3.22450i −0.153548 0.265952i
\(148\) −38.0499 + 4.62010i −3.12768 + 0.379769i
\(149\) 19.7199 + 9.35722i 1.61552 + 0.766573i 0.999772 0.0213709i \(-0.00680310\pi\)
0.615747 + 0.787944i \(0.288854\pi\)
\(150\) 6.06632 3.50239i 0.495313 0.285969i
\(151\) −18.8068 12.9814i −1.53048 1.05641i −0.974275 0.225364i \(-0.927643\pi\)
−0.556201 0.831048i \(-0.687742\pi\)
\(152\) −4.35284 + 1.85457i −0.353062 + 0.150426i
\(153\) −4.53009 0.736211i −0.366236 0.0595192i
\(154\) −10.3779 + 13.8105i −0.836276 + 1.11288i
\(155\) 2.13866 + 5.63918i 0.171781 + 0.452950i
\(156\) −10.1205 + 5.51182i −0.810291 + 0.441299i
\(157\) −3.28305 + 8.65668i −0.262016 + 0.690879i 0.737858 + 0.674956i \(0.235838\pi\)
−0.999873 + 0.0159221i \(0.994932\pi\)
\(158\) 13.0189 + 20.5878i 1.03573 + 1.63788i
\(159\) −4.51989 1.92575i −0.358451 0.152722i
\(160\) 6.87106 + 4.34500i 0.543205 + 0.343502i
\(161\) 26.0269 + 3.16023i 2.05120 + 0.249061i
\(162\) 0.893496 + 2.09711i 0.0701997 + 0.164765i
\(163\) −2.81859 + 8.44271i −0.220769 + 0.661284i 0.778658 + 0.627448i \(0.215901\pi\)
−0.999427 + 0.0338360i \(0.989228\pi\)
\(164\) −5.68495 2.15602i −0.443920 0.168357i
\(165\) 3.20223 + 0.258511i 0.249294 + 0.0201251i
\(166\) 2.55997 8.83804i 0.198692 0.685965i
\(167\) 4.88360 + 0.196802i 0.377904 + 0.0152290i 0.228491 0.973546i \(-0.426621\pi\)
0.149413 + 0.988775i \(0.452262\pi\)
\(168\) −8.92931 −0.688911
\(169\) 1.96314 + 12.8509i 0.151011 + 0.988532i
\(170\) −14.5232 −1.11388
\(171\) 1.73376 + 0.0698682i 0.132584 + 0.00534296i
\(172\) 1.26544 4.36881i 0.0964891 0.333119i
\(173\) −15.5750 1.25735i −1.18415 0.0955943i −0.527342 0.849653i \(-0.676811\pi\)
−0.656807 + 0.754059i \(0.728093\pi\)
\(174\) 4.89738 + 1.85733i 0.371269 + 0.140804i
\(175\) 3.18654 9.54486i 0.240880 0.721524i
\(176\) −0.160230 0.376073i −0.0120778 0.0283476i
\(177\) −8.25282 1.00207i −0.620320 0.0753205i
\(178\) −1.59077 1.00594i −0.119233 0.0753986i
\(179\) −3.33505 1.42093i −0.249274 0.106206i 0.263716 0.964600i \(-0.415052\pi\)
−0.512990 + 0.858395i \(0.671462\pi\)
\(180\) 2.37141 + 3.75008i 0.176754 + 0.279515i
\(181\) 4.03954 10.6514i 0.300257 0.791712i −0.696957 0.717113i \(-0.745463\pi\)
0.997214 0.0745992i \(-0.0237677\pi\)
\(182\) −9.15573 + 25.3089i −0.678668 + 1.87602i
\(183\) 2.24276 + 5.91368i 0.165790 + 0.437152i
\(184\) 13.1152 17.4532i 0.966868 1.28667i
\(185\) 16.4318 + 2.67043i 1.20809 + 0.196334i
\(186\) 9.11105 3.88185i 0.668054 0.284631i
\(187\) 8.74123 + 6.03363i 0.639222 + 0.441223i
\(188\) 27.6784 15.9801i 2.01865 1.16547i
\(189\) 2.95848 + 1.40382i 0.215198 + 0.102113i
\(190\) 5.45077 0.661843i 0.395440 0.0480151i
\(191\) −8.38075 14.5159i −0.606410 1.05033i −0.991827 0.127590i \(-0.959276\pi\)
0.385417 0.922742i \(-0.374058\pi\)
\(192\) 6.49808 11.2550i 0.468958 0.812260i
\(193\) −10.3465 + 24.2842i −0.744760 + 1.74802i −0.0851997 + 0.996364i \(0.527153\pi\)
−0.659560 + 0.751652i \(0.729257\pi\)
\(194\) 12.9991 + 11.5162i 0.933280 + 0.826814i
\(195\) 4.88808 1.07647i 0.350042 0.0770878i
\(196\) −8.90771 + 7.89154i −0.636265 + 0.563682i
\(197\) 5.59011 + 16.7444i 0.398279 + 1.19299i 0.936645 + 0.350280i \(0.113914\pi\)
−0.538366 + 0.842711i \(0.680958\pi\)
\(198\) 0.212420 5.27114i 0.0150960 0.374604i
\(199\) −10.6409 + 13.0328i −0.754316 + 0.923869i −0.998953 0.0457455i \(-0.985434\pi\)
0.244637 + 0.969615i \(0.421331\pi\)
\(200\) −5.55646 6.27194i −0.392901 0.443493i
\(201\) 14.8018 + 3.02180i 1.04404 + 0.213141i
\(202\) −10.4297 + 3.02100i −0.733832 + 0.212557i
\(203\) 7.03534 2.66815i 0.493784 0.187268i
\(204\) 0.590665 + 14.6572i 0.0413548 + 1.02621i
\(205\) 2.11110 + 1.58639i 0.147446 + 0.110798i
\(206\) 23.2440 4.74530i 1.61949 0.330621i
\(207\) −7.08928 + 3.72074i −0.492739 + 0.258609i
\(208\) −0.410326 0.487071i −0.0284510 0.0337723i
\(209\) −3.55568 1.86616i −0.245951 0.129085i
\(210\) 9.95324 + 2.88299i 0.686838 + 0.198945i
\(211\) 3.15237 0.254486i 0.217018 0.0175195i 0.0285208 0.999593i \(-0.490920\pi\)
0.188497 + 0.982074i \(0.439638\pi\)
\(212\) −3.14103 + 15.3858i −0.215727 + 1.05670i
\(213\) −2.33659 4.45200i −0.160100 0.305046i
\(214\) 8.51562 + 11.3322i 0.582116 + 0.774656i
\(215\) −1.05582 + 1.66965i −0.0720067 + 0.113869i
\(216\) 2.24411 1.54900i 0.152692 0.105396i
\(217\) 6.09898 12.8533i 0.414026 0.872541i
\(218\) −1.12647 + 1.17277i −0.0762939 + 0.0794303i
\(219\) −2.96125 2.84432i −0.200103 0.192202i
\(220\) −1.23771 10.1935i −0.0834464 0.687243i
\(221\) 15.7749 + 4.99813i 1.06113 + 0.336211i
\(222\) 3.29502 27.1370i 0.221147 1.82131i
\(223\) −5.72311 + 4.67278i −0.383248 + 0.312912i −0.804412 0.594072i \(-0.797519\pi\)
0.421164 + 0.906985i \(0.361622\pi\)
\(224\) −3.83592 18.7896i −0.256298 1.25543i
\(225\) 0.854939 + 2.95159i 0.0569959 + 0.196773i
\(226\) −5.70508 23.1464i −0.379496 1.53968i
\(227\) 1.82491 22.6055i 0.121123 1.50038i −0.595746 0.803173i \(-0.703144\pi\)
0.716869 0.697208i \(-0.245574\pi\)
\(228\) −0.889637 5.47416i −0.0589176 0.362535i
\(229\) −16.5597 + 18.6921i −1.09430 + 1.23521i −0.124259 + 0.992250i \(0.539655\pi\)
−0.970037 + 0.242956i \(0.921883\pi\)
\(230\) −20.2542 + 15.2201i −1.33553 + 1.00358i
\(231\) −4.79293 5.87028i −0.315352 0.386236i
\(232\) 1.00505 6.18434i 0.0659850 0.406022i
\(233\) −23.9817 5.91097i −1.57110 0.387241i −0.644896 0.764271i \(-0.723099\pi\)
−0.926201 + 0.377030i \(0.876945\pi\)
\(234\) −2.08942 7.94891i −0.136589 0.519636i
\(235\) −13.4777 + 3.32197i −0.879191 + 0.216701i
\(236\) 2.13812 + 26.4854i 0.139180 + 1.72405i
\(237\) −10.1360 + 3.38388i −0.658402 + 0.219807i
\(238\) 23.7321 + 24.7078i 1.53832 + 1.60157i
\(239\) 6.52637i 0.422156i −0.977469 0.211078i \(-0.932303\pi\)
0.977469 0.211078i \(-0.0676974\pi\)
\(240\) −0.176843 + 0.169860i −0.0114152 + 0.0109644i
\(241\) 3.32034 + 2.71097i 0.213882 + 0.174629i 0.733330 0.679873i \(-0.237965\pi\)
−0.519448 + 0.854502i \(0.673862\pi\)
\(242\) 5.97913 11.3923i 0.384353 0.732323i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) 17.0856 10.8042i 1.09379 0.691671i
\(245\) 4.66967 2.21579i 0.298334 0.141561i
\(246\) 2.46328 3.56867i 0.157053 0.227530i
\(247\) −6.14833 1.15699i −0.391209 0.0736174i
\(248\) −6.72973 9.74969i −0.427338 0.619106i
\(249\) 3.49573 + 2.01826i 0.221533 + 0.127902i
\(250\) 10.9514 + 23.0796i 0.692628 + 1.45968i
\(251\) 0.824971 + 0.275416i 0.0520717 + 0.0173841i 0.342585 0.939487i \(-0.388698\pi\)
−0.290513 + 0.956871i \(0.593826\pi\)
\(252\) 2.50479 10.1624i 0.157787 0.640168i
\(253\) 18.5138 0.746082i 1.16395 0.0469057i
\(254\) −13.9520 + 0.562245i −0.875425 + 0.0352784i
\(255\) 1.52472 6.18601i 0.0954814 0.387383i
\(256\) −14.0760 4.69925i −0.879748 0.293703i
\(257\) 4.43016 + 9.33637i 0.276346 + 0.582387i 0.993409 0.114621i \(-0.0365655\pi\)
−0.717063 + 0.697008i \(0.754514\pi\)
\(258\) 2.80929 + 1.62194i 0.174899 + 0.100978i
\(259\) −22.3079 32.3185i −1.38614 2.00818i
\(260\) −6.49618 14.6194i −0.402876 0.906656i
\(261\) −1.30527 + 1.89100i −0.0807939 + 0.117050i
\(262\) 36.7691 17.4472i 2.27160 1.07789i
\(263\) −16.3825 + 10.3597i −1.01019 + 0.638805i −0.933622 0.358259i \(-0.883370\pi\)
−0.0765674 + 0.997064i \(0.524396\pi\)
\(264\) −6.22882 + 1.01228i −0.383357 + 0.0623017i
\(265\) 3.16953 6.03903i 0.194703 0.370975i
\(266\) −10.0330 8.19169i −0.615162 0.502265i
\(267\) 0.595480 0.571966i 0.0364428 0.0350038i
\(268\) 48.2854i 2.94950i
\(269\) 0.583234 + 0.607211i 0.0355604 + 0.0370223i 0.738745 0.673985i \(-0.235419\pi\)
−0.703185 + 0.711007i \(0.748239\pi\)
\(270\) −3.00157 + 1.00207i −0.182669 + 0.0609840i
\(271\) −0.893148 11.0636i −0.0542549 0.672067i −0.965534 0.260278i \(-0.916186\pi\)
0.911279 0.411790i \(-0.135096\pi\)
\(272\) −0.787120 + 0.194008i −0.0477262 + 0.0117634i
\(273\) −9.81891 6.55686i −0.594267 0.396839i
\(274\) −29.2986 7.22147i −1.77000 0.436265i
\(275\) 1.14077 7.01946i 0.0687912 0.423289i
\(276\) 16.1843 + 19.8222i 0.974181 + 1.19315i
\(277\) 19.0483 14.3138i 1.14450 0.860035i 0.152754 0.988264i \(-0.451186\pi\)
0.991745 + 0.128229i \(0.0409293\pi\)
\(278\) −23.1259 + 26.1037i −1.38700 + 1.56560i
\(279\) 0.696918 + 4.28831i 0.0417234 + 0.256734i
\(280\) 0.997433 12.3554i 0.0596080 0.738378i
\(281\) −0.845917 3.43202i −0.0504632 0.204737i 0.940299 0.340350i \(-0.110546\pi\)
−0.990762 + 0.135613i \(0.956700\pi\)
\(282\) 6.34164 + 21.8939i 0.377639 + 1.30376i
\(283\) 3.75961 + 18.4158i 0.223486 + 1.09470i 0.924390 + 0.381449i \(0.124575\pi\)
−0.700904 + 0.713256i \(0.747220\pi\)
\(284\) −12.4481 + 10.1636i −0.738661 + 0.603098i
\(285\) −0.290343 + 2.39119i −0.0171984 + 0.141642i
\(286\) −3.51758 + 18.6927i −0.207999 + 1.10532i
\(287\) −0.750854 6.18384i −0.0443215 0.365021i
\(288\) 4.22354 + 4.05676i 0.248874 + 0.239047i
\(289\) 2.81504 2.93076i 0.165590 0.172398i
\(290\) −3.11703 + 6.56900i −0.183038 + 0.385745i
\(291\) −6.26993 + 4.32782i −0.367550 + 0.253701i
\(292\) −7.01414 + 11.0920i −0.410472 + 0.649109i
\(293\) −1.98158 2.63701i −0.115765 0.154055i 0.737841 0.674975i \(-0.235846\pi\)
−0.853606 + 0.520919i \(0.825589\pi\)
\(294\) −3.94430 7.51524i −0.230036 0.438297i
\(295\) 2.30843 11.3074i 0.134402 0.658344i
\(296\) −32.5940 + 2.63126i −1.89449 + 0.152939i
\(297\) 2.22290 + 0.643870i 0.128985 + 0.0373611i
\(298\) 44.0566 + 23.1227i 2.55213 + 1.33946i
\(299\) 27.2379 9.56139i 1.57521 0.552950i
\(300\) 8.69669 4.56437i 0.502104 0.263524i
\(301\) 4.56583 0.932121i 0.263170 0.0537266i
\(302\) −41.6442 31.2936i −2.39635 1.80074i
\(303\) −0.191805 4.75960i −0.0110189 0.273432i
\(304\) 0.286577 0.108684i 0.0164363 0.00623347i
\(305\) −8.43324 + 2.44272i −0.482886 + 0.139870i
\(306\) −10.2505 2.09265i −0.585981 0.119629i
\(307\) −13.0137 14.6894i −0.742728 0.838367i 0.248760 0.968565i \(-0.419977\pi\)
−0.991488 + 0.130198i \(0.958439\pi\)
\(308\) −15.3193 + 18.7627i −0.872895 + 1.06910i
\(309\) −0.419056 + 10.3988i −0.0238393 + 0.591565i
\(310\) 4.35356 + 13.0405i 0.247266 + 0.740651i
\(311\) 5.24128 4.64337i 0.297206 0.263301i −0.501320 0.865262i \(-0.667152\pi\)
0.798526 + 0.601961i \(0.205614\pi\)
\(312\) −8.81650 + 4.35085i −0.499136 + 0.246318i
\(313\) 13.8266 + 12.2493i 0.781525 + 0.692371i 0.956348 0.292229i \(-0.0943970\pi\)
−0.174823 + 0.984600i \(0.555935\pi\)
\(314\) −8.27228 + 19.4157i −0.466832 + 1.09569i
\(315\) −2.27293 + 3.93682i −0.128065 + 0.221815i
\(316\) 17.0772 + 29.5786i 0.960669 + 1.66393i
\(317\) 10.9862 1.33397i 0.617046 0.0749230i 0.193955 0.981010i \(-0.437868\pi\)
0.423091 + 0.906087i \(0.360945\pi\)
\(318\) −10.1181 4.80109i −0.567394 0.269232i
\(319\) 4.60517 2.65879i 0.257840 0.148864i
\(320\) 14.8476 + 10.2486i 0.830007 + 0.572912i
\(321\) −5.72088 + 2.43744i −0.319308 + 0.136045i
\(322\) 58.9906 + 9.58690i 3.28742 + 0.534257i
\(323\) −4.78407 + 6.36644i −0.266193 + 0.354238i
\(324\) 1.13339 + 2.98851i 0.0629663 + 0.166029i
\(325\) −1.50449 10.9769i −0.0834541 0.608891i
\(326\) −7.19476 + 18.9710i −0.398481 + 1.05071i
\(327\) −0.381271 0.602932i −0.0210843 0.0333422i
\(328\) −4.77203 2.03317i −0.263491 0.112263i
\(329\) 27.6753 + 17.5008i 1.52579 + 0.964852i
\(330\) 7.26991 + 0.882727i 0.400196 + 0.0485925i
\(331\) −1.65668 3.88837i −0.0910594 0.213724i 0.868222 0.496175i \(-0.165263\pi\)
−0.959282 + 0.282451i \(0.908852\pi\)
\(332\) 4.08552 12.2376i 0.224222 0.671626i
\(333\) 11.2128 + 4.25246i 0.614459 + 0.233033i
\(334\) 11.1052 + 0.896502i 0.607648 + 0.0490544i
\(335\) −5.83465 + 20.1435i −0.318781 + 1.10056i
\(336\) 0.577953 + 0.0232907i 0.0315299 + 0.00127061i
\(337\) 14.6936 0.800413 0.400206 0.916425i \(-0.368938\pi\)
0.400206 + 0.916425i \(0.368938\pi\)
\(338\) 3.29184 + 29.4504i 0.179052 + 1.60189i
\(339\) 10.4580 0.567998
\(340\) −20.3471 0.819958i −1.10347 0.0444685i
\(341\) 2.79734 9.65752i 0.151484 0.522984i
\(342\) 3.94253 + 0.318274i 0.213188 + 0.0172103i
\(343\) 10.0327 + 3.80489i 0.541713 + 0.205445i
\(344\) 1.22879 3.68069i 0.0662521 0.198449i
\(345\) −4.35646 10.2250i −0.234544 0.550495i
\(346\) −35.3594 4.29341i −1.90093 0.230815i
\(347\) −11.0415 6.98223i −0.592739 0.374826i 0.204160 0.978937i \(-0.434554\pi\)
−0.796900 + 0.604112i \(0.793528\pi\)
\(348\) 6.75640 + 2.87863i 0.362181 + 0.154311i
\(349\) 9.89637 + 15.6499i 0.529741 + 0.837718i 0.998971 0.0453581i \(-0.0144429\pi\)
−0.469230 + 0.883076i \(0.655469\pi\)
\(350\) 8.13400 21.4476i 0.434780 1.14642i
\(351\) 3.60512 0.0554512i 0.192427 0.00295976i
\(352\) −4.80593 12.6722i −0.256157 0.675430i
\(353\) −4.58558 + 6.10230i −0.244066 + 0.324792i −0.904808 0.425821i \(-0.859985\pi\)
0.660742 + 0.750613i \(0.270242\pi\)
\(354\) −18.7052 3.03990i −0.994172 0.161569i
\(355\) 6.42120 2.73582i 0.340802 0.145202i
\(356\) −2.17189 1.49915i −0.115110 0.0794545i
\(357\) −13.0156 + 7.51454i −0.688857 + 0.397712i
\(358\) −7.46573 3.54253i −0.394576 0.187229i
\(359\) −0.198152 + 0.0240600i −0.0104581 + 0.00126984i −0.125764 0.992060i \(-0.540138\pi\)
0.115306 + 0.993330i \(0.463215\pi\)
\(360\) 1.89266 + 3.27819i 0.0997521 + 0.172776i
\(361\) −7.99459 + 13.8470i −0.420768 + 0.728792i
\(362\) 10.1784 23.8896i 0.534966 1.25561i
\(363\) 4.22472 + 3.74277i 0.221740 + 0.196445i
\(364\) −14.2561 + 34.9411i −0.747225 + 1.83141i
\(365\) 4.26645 3.77975i 0.223316 0.197841i
\(366\) 4.56548 + 13.6753i 0.238641 + 0.714818i
\(367\) 0.00885907 0.219836i 0.000462440 0.0114753i −0.998941 0.0460029i \(-0.985352\pi\)
0.999404 + 0.0345276i \(0.0109927\pi\)
\(368\) −0.894413 + 1.09546i −0.0466245 + 0.0571047i
\(369\) 1.26144 + 1.42387i 0.0656678 + 0.0741236i
\(370\) 37.1811 + 7.59058i 1.93296 + 0.394616i
\(371\) −15.4533 + 4.47610i −0.802294 + 0.232387i
\(372\) 12.9838 4.92411i 0.673179 0.255303i
\(373\) 0.276375 + 6.85817i 0.0143101 + 0.355102i 0.990443 + 0.137926i \(0.0440436\pi\)
−0.976132 + 0.217176i \(0.930315\pi\)
\(374\) 19.3558 + 14.5450i 1.00087 + 0.752103i
\(375\) −10.9803 + 2.24164i −0.567020 + 0.115758i
\(376\) 24.1431 12.6713i 1.24509 0.653472i
\(377\) 5.64639 6.06245i 0.290804 0.312232i
\(378\) 6.60960 + 3.46899i 0.339961 + 0.178426i
\(379\) −13.3768 3.87465i −0.687122 0.199027i −0.0837497 0.996487i \(-0.526690\pi\)
−0.603373 + 0.797459i \(0.706177\pi\)
\(380\) 7.67392 0.619503i 0.393664 0.0317798i
\(381\) 1.22527 6.00175i 0.0627723 0.307479i
\(382\) −17.7562 33.8317i −0.908488 1.73098i
\(383\) 5.36609 + 7.14096i 0.274194 + 0.364886i 0.915444 0.402446i \(-0.131840\pi\)
−0.641249 + 0.767333i \(0.721584\pi\)
\(384\) 9.57363 15.1395i 0.488552 0.772584i
\(385\) 8.65805 5.97622i 0.441255 0.304576i
\(386\) −25.7950 + 54.3618i −1.31293 + 2.76694i
\(387\) −0.985785 + 1.02631i −0.0501103 + 0.0521703i
\(388\) 17.5616 + 16.8682i 0.891556 + 0.856351i
\(389\) −0.748376 6.16343i −0.0379442 0.312498i −0.999307 0.0372150i \(-0.988151\pi\)
0.961363 0.275283i \(-0.0887717\pi\)
\(390\) 11.2322 2.00319i 0.568767 0.101435i
\(391\) 4.42916 36.4774i 0.223992 1.84474i
\(392\) −7.86440 + 6.42108i −0.397212 + 0.324314i
\(393\) 3.57125 + 17.4932i 0.180146 + 0.882413i
\(394\) 11.1955 + 38.6514i 0.564022 + 1.94723i
\(395\) −3.55004 14.4031i −0.178622 0.724697i
\(396\) 0.595203 7.37291i 0.0299101 0.370503i
\(397\) 5.30179 + 32.6232i 0.266089 + 1.63731i 0.684470 + 0.729041i \(0.260034\pi\)
−0.418380 + 0.908272i \(0.637402\pi\)
\(398\) −25.4328 + 28.7077i −1.27483 + 1.43899i
\(399\) 4.54249 3.41346i 0.227409 0.170887i
\(400\) 0.343284 + 0.420447i 0.0171642 + 0.0210224i
\(401\) 1.90513 11.7227i 0.0951374 0.585404i −0.895084 0.445898i \(-0.852884\pi\)
0.990221 0.139506i \(-0.0445515\pi\)
\(402\) 33.4362 + 8.24128i 1.66765 + 0.411038i
\(403\) −0.240911 15.6627i −0.0120007 0.780215i
\(404\) −14.7827 + 3.64360i −0.735464 + 0.181276i
\(405\) −0.111703 1.38369i −0.00555058 0.0687562i
\(406\) 16.2691 5.43143i 0.807422 0.269557i
\(407\) −19.2251 20.0155i −0.952955 0.992131i
\(408\) 12.5147i 0.619570i
\(409\) 13.2483 12.7251i 0.655085 0.629218i −0.289619 0.957142i \(-0.593529\pi\)
0.944704 + 0.327924i \(0.106349\pi\)
\(410\) 4.66279 + 3.80705i 0.230279 + 0.188017i
\(411\) 6.15184 11.7214i 0.303448 0.578172i
\(412\) 32.8329 5.33587i 1.61756 0.262879i
\(413\) −23.0091 + 14.5501i −1.13220 + 0.715963i
\(414\) −16.4886 + 7.82392i −0.810369 + 0.384525i
\(415\) −3.18313 + 4.61156i −0.156254 + 0.226373i
\(416\) −12.9428 16.6831i −0.634572 0.817959i
\(417\) −8.69078 12.5908i −0.425589 0.616572i
\(418\) −7.92738 4.57687i −0.387741 0.223862i
\(419\) 5.46150 + 11.5099i 0.266812 + 0.562294i 0.991997 0.126260i \(-0.0402972\pi\)
−0.725185 + 0.688554i \(0.758246\pi\)
\(420\) 13.7818 + 4.60103i 0.672482 + 0.224507i
\(421\) −0.761052 + 3.08771i −0.0370914 + 0.150486i −0.986568 0.163353i \(-0.947769\pi\)
0.949476 + 0.313839i \(0.101615\pi\)
\(422\) 7.20343 0.290288i 0.350657 0.0141310i
\(423\) −9.99129 + 0.402635i −0.485793 + 0.0195768i
\(424\) −3.20608 + 13.0076i −0.155701 + 0.631704i
\(425\) −13.3774 4.46604i −0.648900 0.216635i
\(426\) −4.91335 10.3547i −0.238053 0.501685i
\(427\) 17.9364 + 10.3556i 0.868001 + 0.501141i
\(428\) 11.2906 + 16.3573i 0.545754 + 0.790661i
\(429\) −7.59270 3.46074i −0.366579 0.167086i
\(430\) −2.55808 + 3.70601i −0.123361 + 0.178720i
\(431\) −10.2175 + 4.84825i −0.492158 + 0.233532i −0.658563 0.752526i \(-0.728835\pi\)
0.166405 + 0.986057i \(0.446784\pi\)
\(432\) −0.149291 + 0.0944061i −0.00718278 + 0.00454212i
\(433\) −29.1409 + 4.73586i −1.40042 + 0.227591i −0.813270 0.581886i \(-0.802315\pi\)
−0.587152 + 0.809477i \(0.699751\pi\)
\(434\) 15.0713 28.7159i 0.723443 1.37841i
\(435\) −2.47077 2.01732i −0.118464 0.0967230i
\(436\) −1.64440 + 1.57947i −0.0787524 + 0.0756427i
\(437\) 13.8924i 0.664563i
\(438\) −6.48370 6.75024i −0.309803 0.322539i
\(439\) 7.72521 2.57905i 0.368704 0.123091i −0.126278 0.991995i \(-0.540303\pi\)
0.494982 + 0.868903i \(0.335175\pi\)
\(440\) −0.704908 8.73185i −0.0336052 0.416275i
\(441\) 3.61514 0.891052i 0.172150 0.0424311i
\(442\) 35.4713 + 12.8320i 1.68720 + 0.610357i
\(443\) −3.05643 0.753342i −0.145215 0.0357923i 0.166038 0.986119i \(-0.446903\pi\)
−0.311253 + 0.950327i \(0.600749\pi\)
\(444\) 6.14846 37.8330i 0.291793 1.79548i
\(445\) 0.724908 + 0.887851i 0.0343639 + 0.0420882i
\(446\) −13.4643 + 10.1177i −0.637552 + 0.479089i
\(447\) −14.4742 + 16.3380i −0.684606 + 0.772761i
\(448\) −6.82676 42.0068i −0.322534 1.98463i
\(449\) 1.49510 18.5202i 0.0705582 0.874021i −0.860571 0.509331i \(-0.829893\pi\)
0.931129 0.364690i \(-0.118825\pi\)
\(450\) 1.67635 + 6.80123i 0.0790241 + 0.320613i
\(451\) −1.22481 4.22854i −0.0576742 0.199114i
\(452\) −6.68603 32.7504i −0.314485 1.54045i
\(453\) 17.7012 14.4526i 0.831677 0.679043i
\(454\) 6.23143 51.3204i 0.292456 2.40859i
\(455\) 10.1695 12.8539i 0.476753 0.602601i
\(456\) −0.570314 4.69696i −0.0267074 0.219955i
\(457\) −20.7332 19.9145i −0.969859 0.931562i 0.0278230 0.999613i \(-0.491143\pi\)
−0.997682 + 0.0680508i \(0.978322\pi\)
\(458\) −39.4333 + 41.0544i −1.84260 + 1.91835i
\(459\) 1.96749 4.14641i 0.0918348 0.193538i
\(460\) −29.2356 + 20.1799i −1.36312 + 0.940893i
\(461\) −8.08885 + 12.7915i −0.376735 + 0.595759i −0.979325 0.202292i \(-0.935161\pi\)
0.602590 + 0.798051i \(0.294135\pi\)
\(462\) −10.3779 13.8105i −0.482824 0.642523i
\(463\) −6.95936 13.2600i −0.323429 0.616242i 0.668402 0.743800i \(-0.266978\pi\)
−0.991831 + 0.127558i \(0.959286\pi\)
\(464\) −0.0811834 + 0.397663i −0.00376884 + 0.0184610i
\(465\) −6.01155 + 0.485302i −0.278779 + 0.0225054i
\(466\) −54.0800 15.6645i −2.50521 0.725642i
\(467\) −25.0186 13.1308i −1.15772 0.607619i −0.227197 0.973849i \(-0.572956\pi\)
−0.930524 + 0.366230i \(0.880648\pi\)
\(468\) −2.47850 11.2544i −0.114569 0.520237i
\(469\) 43.8038 22.9900i 2.02267 1.06158i
\(470\) −31.0028 + 6.32927i −1.43005 + 0.291947i
\(471\) −7.40150 5.56187i −0.341043 0.256277i
\(472\) 0.912791 + 22.6507i 0.0420146 + 1.04258i
\(473\) 3.07932 1.16783i 0.141587 0.0536969i
\(474\) −23.3970 + 6.77703i −1.07466 + 0.311279i
\(475\) 5.22427 + 1.06654i 0.239706 + 0.0489364i
\(476\) 31.8539 + 35.9556i 1.46002 + 1.64802i
\(477\) 3.10723 3.80566i 0.142270 0.174249i
\(478\) 0.599036 14.8649i 0.0273993 0.679906i
\(479\) 0.299579 + 0.897350i 0.0136881 + 0.0410010i 0.955159 0.296094i \(-0.0956840\pi\)
−0.941471 + 0.337095i \(0.890556\pi\)
\(480\) −6.08510 + 5.39092i −0.277745 + 0.246061i
\(481\) −37.7734 21.0406i −1.72232 0.959371i
\(482\) 7.31381 + 6.47947i 0.333135 + 0.295132i
\(483\) −10.2766 + 24.1200i −0.467601 + 1.09750i
\(484\) 9.01999 15.6231i 0.409999 0.710140i
\(485\) −5.28800 9.15909i −0.240116 0.415893i
\(486\) −2.26290 + 0.274766i −0.102647 + 0.0124636i
\(487\) 8.67589 + 4.11676i 0.393142 + 0.186548i 0.614993 0.788532i \(-0.289159\pi\)
−0.221851 + 0.975081i \(0.571210\pi\)
\(488\) 14.9356 8.62307i 0.676102 0.390348i
\(489\) −7.32520 5.05622i −0.331257 0.228650i
\(490\) 10.8394 4.61822i 0.489673 0.208630i
\(491\) 40.3511 + 6.55769i 1.82102 + 0.295945i 0.972445 0.233131i \(-0.0748970\pi\)
0.848575 + 0.529075i \(0.177461\pi\)
\(492\) 3.65255 4.86066i 0.164670 0.219135i
\(493\) −3.73950 9.86025i −0.168419 0.444083i
\(494\) −13.8977 3.19958i −0.625286 0.143956i
\(495\) −1.13922 + 3.00388i −0.0512042 + 0.135014i
\(496\) 0.410154 + 0.648606i 0.0184165 + 0.0291233i
\(497\) −15.1472 6.45360i −0.679443 0.289484i
\(498\) 7.77687 + 4.91779i 0.348490 + 0.220372i
\(499\) 20.3633 + 2.47256i 0.911588 + 0.110687i 0.562874 0.826542i \(-0.309695\pi\)
0.348714 + 0.937229i \(0.386619\pi\)
\(500\) 14.0400 + 32.9530i 0.627886 + 1.47370i
\(501\) −1.54773 + 4.63603i −0.0691476 + 0.207122i
\(502\) 1.85373 + 0.703028i 0.0827362 + 0.0313777i
\(503\) 40.1592 + 3.24199i 1.79061 + 0.144553i 0.930674 0.365848i \(-0.119221\pi\)
0.859936 + 0.510401i \(0.170503\pi\)
\(504\) 2.48429 8.57677i 0.110659 0.382040i
\(505\) 6.60725 + 0.266263i 0.294019 + 0.0118486i
\(506\) 42.2369 1.87766
\(507\) −12.8897 1.68972i −0.572452 0.0750431i
\(508\) −19.5785 −0.868658
\(509\) −40.3902 1.62767i −1.79026 0.0721452i −0.877240 0.480052i \(-0.840618\pi\)
−0.913024 + 0.407907i \(0.866259\pi\)
\(510\) 4.04060 13.9498i 0.178921 0.617706i
\(511\) −13.4021 1.08193i −0.592874 0.0478617i
\(512\) 1.86791 + 0.708405i 0.0825507 + 0.0313074i
\(513\) −0.549473 + 1.64587i −0.0242598 + 0.0726670i
\(514\) 9.23350 + 21.6718i 0.407272 + 0.955903i
\(515\) −14.3419 1.74142i −0.631979 0.0767361i
\(516\) 3.84426 + 2.43096i 0.169234 + 0.107017i
\(517\) 21.2895 + 9.07061i 0.936311 + 0.398925i
\(518\) −47.8436 75.6586i −2.10213 3.32425i
\(519\) 5.54095 14.6103i 0.243221 0.641321i
\(520\) −5.03540 12.6853i −0.220817 0.556289i
\(521\) −12.3067 32.4502i −0.539168 1.42167i −0.877013 0.480467i \(-0.840467\pi\)
0.337845 0.941202i \(-0.390302\pi\)
\(522\) −3.14654 + 4.18728i −0.137720 + 0.183272i
\(523\) −10.5151 1.70887i −0.459794 0.0747238i −0.0738973 0.997266i \(-0.523544\pi\)
−0.385896 + 0.922542i \(0.626108\pi\)
\(524\) 52.4988 22.3676i 2.29342 0.977135i
\(525\) 8.28146 + 5.71628i 0.361433 + 0.249479i
\(526\) −38.2649 + 22.0922i −1.66843 + 0.963268i
\(527\) −18.0143 8.54791i −0.784717 0.372353i
\(528\) 0.405803 0.0492735i 0.0176603 0.00214435i
\(529\) −20.5509 35.5952i −0.893516 1.54762i
\(530\) 7.77345 13.4640i 0.337657 0.584839i
\(531\) 3.25859 7.64819i 0.141411 0.331903i
\(532\) −13.5938 12.0431i −0.589366 0.522133i
\(533\) −3.75447 5.73986i −0.162624 0.248621i
\(534\) 1.40881 1.24809i 0.0609650 0.0540103i
\(535\) −2.73362 8.18821i −0.118185 0.354007i
\(536\) 1.65871 41.1605i 0.0716455 1.77786i
\(537\) 2.29270 2.80805i 0.0989374 0.121176i
\(538\) 1.27268 + 1.43656i 0.0548693 + 0.0619346i
\(539\) −8.44265 1.72358i −0.363651 0.0742398i
\(540\) −4.26179 + 1.23444i −0.183398 + 0.0531219i
\(541\) 23.1306 8.77229i 0.994463 0.377150i 0.196925 0.980419i \(-0.436904\pi\)
0.797538 + 0.603268i \(0.206135\pi\)
\(542\) −1.01880 25.2813i −0.0437612 1.08592i
\(543\) 9.10699 + 6.84346i 0.390818 + 0.293681i
\(544\) −26.3342 + 5.37616i −1.12907 + 0.230501i
\(545\) 0.876861 0.460212i 0.0375606 0.0197133i
\(546\) −21.7624 15.8356i −0.931345 0.677702i
\(547\) −20.8703 10.9536i −0.892349 0.468341i −0.0447619 0.998998i \(-0.514253\pi\)
−0.847587 + 0.530657i \(0.821945\pi\)
\(548\) −40.6399 11.7715i −1.73605 0.502853i
\(549\) −6.30417 + 0.508925i −0.269055 + 0.0217204i
\(550\) 3.24260 15.8833i 0.138265 0.677267i
\(551\) 1.85284 + 3.53029i 0.0789335 + 0.150395i
\(552\) 13.1152 + 17.4532i 0.558222 + 0.742858i
\(553\) −18.7024 + 29.5754i −0.795305 + 1.25767i
\(554\) 44.6995 30.8538i 1.89910 1.31085i
\(555\) −7.13661 + 15.0401i −0.302932 + 0.638416i
\(556\) −33.8733 + 35.2658i −1.43655 + 1.49560i
\(557\) 29.7846 + 28.6085i 1.26201 + 1.21218i 0.966449 + 0.256859i \(0.0826876\pi\)
0.295566 + 0.955322i \(0.404492\pi\)
\(558\) 1.19374 + 9.83133i 0.0505350 + 0.416193i
\(559\) 4.05397 3.14507i 0.171465 0.133022i
\(560\) −0.0967865 + 0.797108i −0.00408997 + 0.0336840i
\(561\) −8.22738 + 6.71744i −0.347360 + 0.283611i
\(562\) −1.61171 7.89466i −0.0679858 0.333016i
\(563\) −10.2066 35.2374i −0.430158 1.48508i −0.824366 0.566058i \(-0.808468\pi\)
0.394207 0.919022i \(-0.371019\pi\)
\(564\) 7.64858 + 31.0315i 0.322063 + 1.30666i
\(565\) −1.16819 + 14.4706i −0.0491460 + 0.608782i
\(566\) 6.87283 + 42.2902i 0.288887 + 1.77759i
\(567\) −2.17149 + 2.45111i −0.0911942 + 0.102937i
\(568\) −10.9605 + 8.23625i −0.459890 + 0.345585i
\(569\) −24.0828 29.4961i −1.00960 1.23654i −0.971444 0.237269i \(-0.923748\pi\)
−0.0381606 0.999272i \(-0.512150\pi\)
\(570\) −0.880786 + 5.41970i −0.0368921 + 0.227006i
\(571\) −21.8187 5.37782i −0.913083 0.225055i −0.245332 0.969439i \(-0.578897\pi\)
−0.667751 + 0.744385i \(0.732743\pi\)
\(572\) −5.98352 + 25.9900i −0.250184 + 1.08670i
\(573\) 16.2744 4.01129i 0.679875 0.167574i
\(574\) −1.14260 14.1537i −0.0476913 0.590763i
\(575\) −23.3367 + 7.79094i −0.973208 + 0.324905i
\(576\) 9.00276 + 9.37286i 0.375115 + 0.390536i
\(577\) 4.49284i 0.187040i 0.995617 + 0.0935198i \(0.0298118\pi\)
−0.995617 + 0.0935198i \(0.970188\pi\)
\(578\) 6.68074 6.41694i 0.277882 0.266909i
\(579\) −20.4468 16.6943i −0.849742 0.693792i
\(580\) −4.73785 + 9.02723i −0.196729 + 0.374835i
\(581\) 13.0470 2.12034i 0.541281 0.0879667i
\(582\) −14.6781 + 9.28186i −0.608426 + 0.384745i
\(583\) −10.2723 + 4.87427i −0.425436 + 0.201872i
\(584\) −6.36018 + 9.21431i −0.263186 + 0.381291i
\(585\) −0.325977 + 4.99458i −0.0134775 + 0.206500i
\(586\) −4.27135 6.18812i −0.176448 0.255629i
\(587\) 34.7683 + 20.0735i 1.43504 + 0.828522i 0.997499 0.0706759i \(-0.0225156\pi\)
0.437543 + 0.899198i \(0.355849\pi\)
\(588\) −5.10169 10.7516i −0.210390 0.443388i
\(589\) 7.15060 + 2.38722i 0.294635 + 0.0983637i
\(590\) 6.29572 25.5427i 0.259191 1.05158i
\(591\) −17.6386 + 0.710811i −0.725555 + 0.0292389i
\(592\) 2.11653 0.0852931i 0.0869887 0.00350552i
\(593\) 8.23712 33.4193i 0.338258 1.37237i −0.517807 0.855498i \(-0.673251\pi\)
0.856065 0.516869i \(-0.172902\pi\)
\(594\) 5.00393 + 1.67056i 0.205314 + 0.0685438i
\(595\) −8.94393 18.8489i −0.366666 0.772731i
\(596\) 60.4182 + 34.8824i 2.47482 + 1.42884i
\(597\) −9.55773 13.8468i −0.391172 0.566710i
\(598\) 62.9166 19.2776i 2.57285 0.788321i
\(599\) 13.6724 19.8080i 0.558641 0.809331i −0.437302 0.899315i \(-0.644066\pi\)
0.995943 + 0.0899832i \(0.0286813\pi\)
\(600\) 7.57022 3.59211i 0.309053 0.146647i
\(601\) 29.2340 18.4864i 1.19248 0.754078i 0.217432 0.976076i \(-0.430232\pi\)
0.975047 + 0.221998i \(0.0712577\pi\)
\(602\) 10.4850 1.70398i 0.427338 0.0694492i
\(603\) −7.02060 + 13.3766i −0.285901 + 0.544739i
\(604\) −56.5770 46.1937i −2.30209 1.87960i
\(605\) −5.65076 + 5.42763i −0.229736 + 0.220665i
\(606\) 10.8584i 0.441093i
\(607\) 18.5657 + 19.3290i 0.753559 + 0.784538i 0.981972 0.189026i \(-0.0605331\pi\)
−0.228413 + 0.973564i \(0.573354\pi\)
\(608\) 9.63862 3.21785i 0.390898 0.130501i
\(609\) 0.605455 + 7.49990i 0.0245343 + 0.303911i
\(610\) −19.4324 + 4.78965i −0.786793 + 0.193927i
\(611\) 35.8531 + 3.79480i 1.45046 + 0.153521i
\(612\) −14.2428 3.51055i −0.575733 0.141905i
\(613\) 3.41071 20.9869i 0.137757 0.847654i −0.822547 0.568698i \(-0.807447\pi\)
0.960304 0.278956i \(-0.0899885\pi\)
\(614\) −28.2925 34.6521i −1.14179 1.39844i
\(615\) −2.11110 + 1.58639i −0.0851278 + 0.0639694i
\(616\) −13.7033 + 15.4678i −0.552122 + 0.623217i
\(617\) 2.21369 + 13.6214i 0.0891196 + 0.548375i 0.992763 + 0.120090i \(0.0383182\pi\)
−0.903643 + 0.428286i \(0.859118\pi\)
\(618\) −1.90894 + 23.6465i −0.0767890 + 0.951202i
\(619\) 10.7936 + 43.7914i 0.433831 + 1.76012i 0.627061 + 0.778970i \(0.284258\pi\)
−0.193230 + 0.981154i \(0.561896\pi\)
\(620\) 5.36312 + 18.5156i 0.215388 + 0.743606i
\(621\) −1.60148 7.84455i −0.0642651 0.314791i
\(622\) 12.3641 10.0950i 0.495756 0.404772i
\(623\) 0.325907 2.68409i 0.0130572 0.107536i
\(624\) 0.582000 0.258614i 0.0232987 0.0103528i
\(625\) −0.0232148 0.191191i −0.000928591 0.00764764i
\(626\) 30.3681 + 29.1690i 1.21375 + 1.16583i
\(627\) 2.78174 2.89609i 0.111092 0.115659i
\(628\) −12.6857 + 26.7345i −0.506215 + 1.06682i
\(629\) −45.2954 + 31.2652i −1.80605 + 1.24662i
\(630\) −5.53833 + 8.75816i −0.220652 + 0.348934i
\(631\) 5.15083 + 6.85451i 0.205051 + 0.272874i 0.890240 0.455492i \(-0.150537\pi\)
−0.685188 + 0.728366i \(0.740280\pi\)
\(632\) 13.5413 + 25.8007i 0.538642 + 1.02630i
\(633\) −0.632607 + 3.09871i −0.0251439 + 0.123163i
\(634\) 25.1454 2.02995i 0.998651 0.0806194i
\(635\) 8.16771 + 2.36581i 0.324126 + 0.0938841i
\(636\) −13.9044 7.29761i −0.551347 0.289369i
\(637\) −13.3629 + 1.28590i −0.529459 + 0.0509493i
\(638\) 10.7331 5.63317i 0.424928 0.223019i
\(639\) 4.92631 1.00571i 0.194882 0.0397854i
\(640\) 19.8790 + 14.9381i 0.785786 + 0.590480i
\(641\) −0.625988 15.5337i −0.0247250 0.613545i −0.963293 0.268451i \(-0.913488\pi\)
0.938568 0.345094i \(-0.112153\pi\)
\(642\) −13.2540 + 5.02658i −0.523094 + 0.198383i
\(643\) 8.26117 2.39288i 0.325789 0.0943658i −0.111293 0.993788i \(-0.535499\pi\)
0.437082 + 0.899422i \(0.356012\pi\)
\(644\) 82.1049 + 16.7618i 3.23539 + 0.660509i
\(645\) −1.30998 1.47867i −0.0515806 0.0582224i
\(646\) −11.4809 + 14.0616i −0.451710 + 0.553244i
\(647\) 0.866586 21.5041i 0.0340690 0.845414i −0.888337 0.459192i \(-0.848139\pi\)
0.922406 0.386222i \(-0.126220\pi\)
\(648\) 0.863490 + 2.58647i 0.0339211 + 0.101606i
\(649\) −14.4010 + 12.7582i −0.565288 + 0.500801i
\(650\) −2.41919 25.1400i −0.0948886 0.986070i
\(651\) 10.6490 + 9.43421i 0.417368 + 0.369756i
\(652\) −11.1510 + 26.1723i −0.436706 + 1.02499i
\(653\) −9.22441 + 15.9771i −0.360979 + 0.625234i −0.988122 0.153670i \(-0.950891\pi\)
0.627143 + 0.778904i \(0.284224\pi\)
\(654\) −0.813069 1.40828i −0.0317935 0.0550680i
\(655\) −24.6041 + 2.98748i −0.961361 + 0.116730i
\(656\) 0.303568 + 0.144045i 0.0118523 + 0.00562401i
\(657\) 3.55590 2.05300i 0.138729 0.0800951i
\(658\) 61.4290 + 42.4014i 2.39475 + 1.65298i
\(659\) 0.819972 0.349357i 0.0319416 0.0136090i −0.375937 0.926645i \(-0.622679\pi\)
0.407878 + 0.913036i \(0.366269\pi\)
\(660\) 10.1354 + 1.64716i 0.394518 + 0.0641155i
\(661\) −11.6051 + 15.4436i −0.451386 + 0.600685i −0.966573 0.256393i \(-0.917466\pi\)
0.515187 + 0.857078i \(0.327722\pi\)
\(662\) −3.41647 9.00850i −0.132785 0.350125i
\(663\) −9.18964 + 13.7615i −0.356896 + 0.534452i
\(664\) 3.90305 10.2915i 0.151468 0.399388i
\(665\) 4.21577 + 6.66671i 0.163481 + 0.258524i
\(666\) 25.1488 + 10.7149i 0.974496 + 0.415194i
\(667\) −15.5486 9.83232i −0.602043 0.380709i
\(668\) 15.5078 + 1.88299i 0.600015 + 0.0728550i
\(669\) −2.89602 6.79720i −0.111967 0.262795i
\(670\) −15.1383 + 45.3449i −0.584845 + 1.75182i
\(671\) 13.6858 + 5.19035i 0.528336 + 0.200371i
\(672\) 19.1150 + 1.54312i 0.737376 + 0.0595271i
\(673\) −10.4767 + 36.1697i −0.403847 + 1.39424i 0.458848 + 0.888515i \(0.348262\pi\)
−0.862694 + 0.505726i \(0.831225\pi\)
\(674\) 33.4673 + 1.34868i 1.28911 + 0.0519494i
\(675\) −3.07292 −0.118277
\(676\) 2.94916 + 41.4460i 0.113429 + 1.59408i
\(677\) −20.6547 −0.793824 −0.396912 0.917857i \(-0.629918\pi\)
−0.396912 + 0.917857i \(0.629918\pi\)
\(678\) 23.8198 + 0.959905i 0.914794 + 0.0368649i
\(679\) −6.94098 + 23.9630i −0.266370 + 0.919617i
\(680\) −17.3165 1.39793i −0.664058 0.0536083i
\(681\) 21.2053 + 8.04210i 0.812588 + 0.308174i
\(682\) 7.25785 21.7399i 0.277917 0.832464i
\(683\) −10.1033 23.7134i −0.386594 0.907368i −0.993630 0.112694i \(-0.964052\pi\)
0.607036 0.794674i \(-0.292358\pi\)
\(684\) 5.50554 + 0.668493i 0.210510 + 0.0255605i
\(685\) 15.5316 + 9.82157i 0.593431 + 0.375263i
\(686\) 22.5019 + 9.58716i 0.859126 + 0.366039i
\(687\) −13.3469 21.1064i −0.509214 0.805258i
\(688\) −0.0891347 + 0.235029i −0.00339823 + 0.00896039i
\(689\) −13.0771 + 11.9492i −0.498196 + 0.455229i
\(690\) −8.98408 23.6891i −0.342018 0.901827i
\(691\) −16.9141 + 22.5086i −0.643444 + 0.856268i −0.996859 0.0791984i \(-0.974764\pi\)
0.353415 + 0.935467i \(0.385020\pi\)
\(692\) −49.2964 8.01144i −1.87397 0.304549i
\(693\) 6.97199 2.97049i 0.264844 0.112839i
\(694\) −24.5081 16.9167i −0.930313 0.642149i
\(695\) 18.3925 10.6189i 0.697669 0.402799i
\(696\) 5.66055 + 2.68596i 0.214563 + 0.101811i
\(697\) −8.66684 + 1.05235i −0.328280 + 0.0398604i
\(698\) 21.1042 + 36.5536i 0.798807 + 1.38357i
\(699\) 12.3497 21.3904i 0.467110 0.809058i
\(700\) 12.6067 29.5890i 0.476488 1.11836i
\(701\) 33.9551 + 30.0816i 1.28247 + 1.13616i 0.983306 + 0.181962i \(0.0582447\pi\)
0.299160 + 0.954203i \(0.403294\pi\)
\(702\) 8.21638 + 0.204604i 0.310107 + 0.00772229i
\(703\) 15.5753 13.7985i 0.587432 0.520420i
\(704\) −9.52429 28.5287i −0.358960 1.07522i
\(705\) 0.558936 13.8698i 0.0210507 0.522369i
\(706\) −11.0046 + 13.4781i −0.414162 + 0.507256i
\(707\) −10.3438 11.6758i −0.389020 0.439113i
\(708\) −26.0345 5.31499i −0.978438 0.199750i
\(709\) −20.9606 + 6.07132i −0.787193 + 0.228013i −0.647383 0.762165i \(-0.724136\pi\)
−0.139810 + 0.990178i \(0.544649\pi\)
\(710\) 14.8765 5.64192i 0.558305 0.211737i
\(711\) −0.430278 10.6772i −0.0161367 0.400428i
\(712\) −1.79991 1.35254i −0.0674544 0.0506887i
\(713\) −34.0812 + 6.95773i −1.27635 + 0.260569i
\(714\) −30.3349 + 15.9210i −1.13526 + 0.595828i
\(715\) 5.63673 10.1194i 0.210802 0.378444i
\(716\) −10.2595 5.38462i −0.383417 0.201233i
\(717\) 6.26870 + 1.81575i 0.234109 + 0.0678105i
\(718\) −0.453534 + 0.0366131i −0.0169258 + 0.00136639i
\(719\) −0.863193 + 4.22820i −0.0321917 + 0.157685i −0.992709 0.120534i \(-0.961539\pi\)
0.960517 + 0.278220i \(0.0897443\pi\)
\(720\) −0.113953 0.217119i −0.00424677 0.00809154i
\(721\) 20.4733 + 27.2450i 0.762465 + 1.01466i
\(722\) −19.4800 + 30.8052i −0.724972 + 1.14645i
\(723\) −3.52772 + 2.43501i −0.131197 + 0.0905588i
\(724\) 15.6088 32.8949i 0.580097 1.22253i
\(725\) −4.89117 + 5.09224i −0.181653 + 0.189121i
\(726\) 9.27899 + 8.91259i 0.344376 + 0.330777i
\(727\) 0.978799 + 8.06114i 0.0363017 + 0.298971i 0.999540 + 0.0303233i \(0.00965369\pi\)
−0.963238 + 0.268648i \(0.913423\pi\)
\(728\) −13.3528 + 29.2955i −0.494889 + 1.08576i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) 10.0645 8.21742i 0.372504 0.304140i
\(731\) −1.30640 6.39915i −0.0483188 0.236681i
\(732\) 5.62418 + 19.4169i 0.207876 + 0.717670i
\(733\) −4.13812 16.7890i −0.152845 0.620116i −0.996527 0.0832728i \(-0.973463\pi\)
0.843682 0.536843i \(-0.180383\pi\)
\(734\) 0.0403561 0.499900i 0.00148957 0.0184517i
\(735\) 0.829119 + 5.10178i 0.0305825 + 0.188182i
\(736\) −31.0920 + 35.0956i −1.14606 + 1.29364i
\(737\) 27.9500 21.0030i 1.02955 0.773656i
\(738\) 2.74245 + 3.35889i 0.100951 + 0.123642i
\(739\) −0.298187 + 1.83482i −0.0109690 + 0.0674948i −0.991958 0.126570i \(-0.959603\pi\)
0.980989 + 0.194065i \(0.0621672\pi\)
\(740\) 51.6625 + 12.7337i 1.89915 + 0.468098i
\(741\) 2.82188 5.58369i 0.103664 0.205122i
\(742\) −35.6084 + 8.77667i −1.30722 + 0.322202i
\(743\) −0.712194 8.82210i −0.0261279 0.323652i −0.996597 0.0824268i \(-0.973733\pi\)
0.970469 0.241225i \(-0.0775491\pi\)
\(744\) 11.2371 3.75149i 0.411972 0.137536i
\(745\) −20.9899 21.8529i −0.769012 0.800627i
\(746\) 15.6460i 0.572842i
\(747\) −2.91115 + 2.79619i −0.106513 + 0.102307i
\(748\) 26.2965 + 21.4704i 0.961494 + 0.785036i
\(749\) −9.46333 + 18.0309i −0.345782 + 0.658833i
\(750\) −25.2153 + 4.09788i −0.920731 + 0.149633i
\(751\) 1.10398 0.698115i 0.0402848 0.0254746i −0.514172 0.857687i \(-0.671901\pi\)
0.554456 + 0.832213i \(0.312926\pi\)
\(752\) −1.59573 + 0.757181i −0.0581901 + 0.0276116i
\(753\) −0.494063 + 0.715774i −0.0180047 + 0.0260842i
\(754\) 13.4171 13.2900i 0.488621 0.483993i
\(755\) 18.0207 + 26.1075i 0.655840 + 0.950149i
\(756\) 9.06424 + 5.23324i 0.329663 + 0.190331i
\(757\) −6.33023 13.3407i −0.230076 0.484875i 0.755276 0.655407i \(-0.227503\pi\)
−0.985352 + 0.170531i \(0.945452\pi\)
\(758\) −30.1124 10.0530i −1.09373 0.365142i
\(759\) −4.43424 + 17.9904i −0.160953 + 0.653011i
\(760\) 6.56285 0.264474i 0.238060 0.00959348i
\(761\) 0.220759 0.00889628i 0.00800250 0.000322490i −0.0362644 0.999342i \(-0.511546\pi\)
0.0442669 + 0.999020i \(0.485905\pi\)
\(762\) 3.34164 13.5575i 0.121055 0.491138i
\(763\) −2.21581 0.739746i −0.0802177 0.0267806i
\(764\) −22.9665 48.4009i −0.830899 1.75108i
\(765\) 5.51758 + 3.18557i 0.199488 + 0.115175i
\(766\) 11.5667 + 16.7573i 0.417923 + 0.605466i
\(767\) −15.6288 + 25.5776i −0.564325 + 0.923552i
\(768\) 8.42989 12.2128i 0.304187 0.440692i
\(769\) 13.6976 6.49958i 0.493947 0.234381i −0.165390 0.986228i \(-0.552888\pi\)
0.659337 + 0.751847i \(0.270837\pi\)
\(770\) 20.2687 12.8172i 0.730434 0.461899i
\(771\) −10.2003 + 1.65771i −0.367355 + 0.0597010i
\(772\) −39.2081 + 74.7049i −1.41113 + 2.68869i
\(773\) 17.9516 + 14.6570i 0.645675 + 0.527177i