Properties

Label 91.2.w.a.33.3
Level $91$
Weight $2$
Character 91.33
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 33.3
Character \(\chi\) \(=\) 91.33
Dual form 91.2.w.a.80.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.320827 + 1.19734i) q^{2} -2.22531i q^{3} +(0.401352 + 0.231720i) q^{4} +(-0.674321 - 2.51660i) q^{5} +(2.66446 + 0.713939i) q^{6} +(2.64022 - 0.170970i) q^{7} +(-2.15924 + 2.15924i) q^{8} -1.95199 q^{9} +O(q^{10})\) \(q+(-0.320827 + 1.19734i) q^{2} -2.22531i q^{3} +(0.401352 + 0.231720i) q^{4} +(-0.674321 - 2.51660i) q^{5} +(2.66446 + 0.713939i) q^{6} +(2.64022 - 0.170970i) q^{7} +(-2.15924 + 2.15924i) q^{8} -1.95199 q^{9} +3.22957 q^{10} +(-0.999283 + 0.999283i) q^{11} +(0.515649 - 0.893131i) q^{12} +(-0.445209 + 3.57796i) q^{13} +(-0.642345 + 3.21610i) q^{14} +(-5.60021 + 1.50057i) q^{15} +(-1.42917 - 2.47540i) q^{16} +(1.41406 - 2.44923i) q^{17} +(0.626252 - 2.33720i) q^{18} +(-4.42425 + 4.42425i) q^{19} +(0.312508 - 1.16630i) q^{20} +(-0.380461 - 5.87530i) q^{21} +(-0.875887 - 1.51708i) q^{22} +(0.882253 - 0.509369i) q^{23} +(4.80498 + 4.80498i) q^{24} +(-1.54845 + 0.893996i) q^{25} +(-4.14121 - 1.68097i) q^{26} -2.33214i q^{27} +(1.09927 + 0.543174i) q^{28} +(-2.66549 + 4.61676i) q^{29} -7.18680i q^{30} +(-6.46023 - 1.73101i) q^{31} +(-2.47675 + 0.663644i) q^{32} +(2.22371 + 2.22371i) q^{33} +(2.47890 + 2.47890i) q^{34} +(-2.21062 - 6.52910i) q^{35} +(-0.783435 - 0.452317i) q^{36} +(8.89183 + 2.38256i) q^{37} +(-3.87792 - 6.71676i) q^{38} +(7.96206 + 0.990727i) q^{39} +(6.88998 + 3.97793i) q^{40} +(2.51937 + 9.40242i) q^{41} +(7.15681 + 1.42941i) q^{42} +(0.850246 - 0.490890i) q^{43} +(-0.632618 + 0.169509i) q^{44} +(1.31627 + 4.91239i) q^{45} +(0.326839 + 1.21978i) q^{46} +(2.21910 - 0.594605i) q^{47} +(-5.50852 + 3.18034i) q^{48} +(6.94154 - 0.902797i) q^{49} +(-0.573636 - 2.14084i) q^{50} +(-5.45029 - 3.14673i) q^{51} +(-1.00777 + 1.33286i) q^{52} +(-2.52978 - 4.38171i) q^{53} +(2.79237 + 0.748213i) q^{54} +(3.18863 + 1.84096i) q^{55} +(-5.33172 + 6.07005i) q^{56} +(9.84531 + 9.84531i) q^{57} +(-4.67268 - 4.67268i) q^{58} +(-7.36837 + 1.97435i) q^{59} +(-2.59537 - 0.695426i) q^{60} -7.79680i q^{61} +(4.14523 - 7.17976i) q^{62} +(-5.15369 + 0.333732i) q^{63} -8.89512i q^{64} +(9.30451 - 1.29228i) q^{65} +(-3.37597 + 1.94912i) q^{66} +(-9.24089 - 9.24089i) q^{67} +(1.13507 - 0.655335i) q^{68} +(-1.13350 - 1.96328i) q^{69} +(8.52679 - 0.552160i) q^{70} +(2.97420 - 11.0999i) q^{71} +(4.21483 - 4.21483i) q^{72} +(2.26033 - 8.43566i) q^{73} +(-5.70548 + 9.88218i) q^{74} +(1.98942 + 3.44577i) q^{75} +(-2.80087 + 0.750490i) q^{76} +(-2.46748 + 2.80917i) q^{77} +(-3.74068 + 9.21546i) q^{78} +(-2.78395 + 4.82194i) q^{79} +(-5.26586 + 5.26586i) q^{80} -11.0457 q^{81} -12.0662 q^{82} +(0.445401 - 0.445401i) q^{83} +(1.20873 - 2.44622i) q^{84} +(-7.11727 - 1.90707i) q^{85} +(0.314981 + 1.17553i) q^{86} +(10.2737 + 5.93153i) q^{87} -4.31539i q^{88} +(-0.0396274 + 0.147892i) q^{89} -6.30411 q^{90} +(-0.563727 + 9.52272i) q^{91} +0.472125 q^{92} +(-3.85204 + 14.3760i) q^{93} +2.84778i q^{94} +(14.1174 + 8.15070i) q^{95} +(1.47681 + 5.51153i) q^{96} +(2.87974 + 0.771623i) q^{97} +(-1.14608 + 8.60104i) q^{98} +(1.95059 - 1.95059i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.320827 + 1.19734i −0.226859 + 0.846649i 0.754792 + 0.655964i \(0.227738\pi\)
−0.981651 + 0.190685i \(0.938929\pi\)
\(3\) 2.22531i 1.28478i −0.766377 0.642391i \(-0.777943\pi\)
0.766377 0.642391i \(-0.222057\pi\)
\(4\) 0.401352 + 0.231720i 0.200676 + 0.115860i
\(5\) −0.674321 2.51660i −0.301566 1.12546i −0.935862 0.352368i \(-0.885377\pi\)
0.634296 0.773090i \(-0.281290\pi\)
\(6\) 2.66446 + 0.713939i 1.08776 + 0.291464i
\(7\) 2.64022 0.170970i 0.997910 0.0646206i
\(8\) −2.15924 + 2.15924i −0.763408 + 0.763408i
\(9\) −1.95199 −0.650664
\(10\) 3.22957 1.02128
\(11\) −0.999283 + 0.999283i −0.301295 + 0.301295i −0.841520 0.540225i \(-0.818339\pi\)
0.540225 + 0.841520i \(0.318339\pi\)
\(12\) 0.515649 0.893131i 0.148855 0.257825i
\(13\) −0.445209 + 3.57796i −0.123479 + 0.992347i
\(14\) −0.642345 + 3.21610i −0.171674 + 0.859539i
\(15\) −5.60021 + 1.50057i −1.44597 + 0.387446i
\(16\) −1.42917 2.47540i −0.357293 0.618849i
\(17\) 1.41406 2.44923i 0.342961 0.594026i −0.642020 0.766688i \(-0.721903\pi\)
0.984981 + 0.172662i \(0.0552368\pi\)
\(18\) 0.626252 2.33720i 0.147609 0.550884i
\(19\) −4.42425 + 4.42425i −1.01499 + 1.01499i −0.0151063 + 0.999886i \(0.504809\pi\)
−0.999886 + 0.0151063i \(0.995191\pi\)
\(20\) 0.312508 1.16630i 0.0698789 0.260792i
\(21\) −0.380461 5.87530i −0.0830233 1.28210i
\(22\) −0.875887 1.51708i −0.186740 0.323443i
\(23\) 0.882253 0.509369i 0.183963 0.106211i −0.405191 0.914232i \(-0.632795\pi\)
0.589153 + 0.808021i \(0.299461\pi\)
\(24\) 4.80498 + 4.80498i 0.980813 + 0.980813i
\(25\) −1.54845 + 0.893996i −0.309689 + 0.178799i
\(26\) −4.14121 1.68097i −0.812158 0.329666i
\(27\) 2.33214i 0.448820i
\(28\) 1.09927 + 0.543174i 0.207743 + 0.102650i
\(29\) −2.66549 + 4.61676i −0.494968 + 0.857310i −0.999983 0.00580039i \(-0.998154\pi\)
0.505015 + 0.863111i \(0.331487\pi\)
\(30\) 7.18680i 1.31212i
\(31\) −6.46023 1.73101i −1.16029 0.310899i −0.373210 0.927747i \(-0.621743\pi\)
−0.787083 + 0.616848i \(0.788409\pi\)
\(32\) −2.47675 + 0.663644i −0.437832 + 0.117317i
\(33\) 2.22371 + 2.22371i 0.387098 + 0.387098i
\(34\) 2.47890 + 2.47890i 0.425128 + 0.425128i
\(35\) −2.21062 6.52910i −0.373663 1.10362i
\(36\) −0.783435 0.452317i −0.130573 0.0753861i
\(37\) 8.89183 + 2.38256i 1.46181 + 0.391690i 0.900114 0.435655i \(-0.143483\pi\)
0.561694 + 0.827345i \(0.310150\pi\)
\(38\) −3.87792 6.71676i −0.629082 1.08960i
\(39\) 7.96206 + 0.990727i 1.27495 + 0.158643i
\(40\) 6.88998 + 3.97793i 1.08940 + 0.628966i
\(41\) 2.51937 + 9.40242i 0.393459 + 1.46841i 0.824388 + 0.566025i \(0.191519\pi\)
−0.430929 + 0.902386i \(0.641814\pi\)
\(42\) 7.15681 + 1.42941i 1.10432 + 0.220563i
\(43\) 0.850246 0.490890i 0.129661 0.0748600i −0.433766 0.901025i \(-0.642816\pi\)
0.563428 + 0.826165i \(0.309482\pi\)
\(44\) −0.632618 + 0.169509i −0.0953707 + 0.0255545i
\(45\) 1.31627 + 4.91239i 0.196218 + 0.732296i
\(46\) 0.326839 + 1.21978i 0.0481897 + 0.179847i
\(47\) 2.21910 0.594605i 0.323688 0.0867321i −0.0933159 0.995637i \(-0.529747\pi\)
0.417004 + 0.908904i \(0.363080\pi\)
\(48\) −5.50852 + 3.18034i −0.795086 + 0.459043i
\(49\) 6.94154 0.902797i 0.991648 0.128971i
\(50\) −0.573636 2.14084i −0.0811244 0.302760i
\(51\) −5.45029 3.14673i −0.763194 0.440630i
\(52\) −1.00777 + 1.33286i −0.139753 + 0.184834i
\(53\) −2.52978 4.38171i −0.347492 0.601875i 0.638311 0.769779i \(-0.279633\pi\)
−0.985803 + 0.167904i \(0.946300\pi\)
\(54\) 2.79237 + 0.748213i 0.379993 + 0.101819i
\(55\) 3.18863 + 1.84096i 0.429955 + 0.248235i
\(56\) −5.33172 + 6.07005i −0.712481 + 0.811144i
\(57\) 9.84531 + 9.84531i 1.30404 + 1.30404i
\(58\) −4.67268 4.67268i −0.613553 0.613553i
\(59\) −7.36837 + 1.97435i −0.959280 + 0.257038i −0.704296 0.709907i \(-0.748737\pi\)
−0.254984 + 0.966945i \(0.582070\pi\)
\(60\) −2.59537 0.695426i −0.335060 0.0897792i
\(61\) 7.79680i 0.998278i −0.866522 0.499139i \(-0.833650\pi\)
0.866522 0.499139i \(-0.166350\pi\)
\(62\) 4.14523 7.17976i 0.526445 0.911830i
\(63\) −5.15369 + 0.333732i −0.649304 + 0.0420463i
\(64\) 8.89512i 1.11189i
\(65\) 9.30451 1.29228i 1.15408 0.160288i
\(66\) −3.37597 + 1.94912i −0.415553 + 0.239920i
\(67\) −9.24089 9.24089i −1.12895 1.12895i −0.990347 0.138607i \(-0.955738\pi\)
−0.138607 0.990347i \(-0.544262\pi\)
\(68\) 1.13507 0.655335i 0.137648 0.0794711i
\(69\) −1.13350 1.96328i −0.136458 0.236352i
\(70\) 8.52679 0.552160i 1.01915 0.0659958i
\(71\) 2.97420 11.0999i 0.352973 1.31731i −0.530044 0.847970i \(-0.677825\pi\)
0.883017 0.469341i \(-0.155509\pi\)
\(72\) 4.21483 4.21483i 0.496722 0.496722i
\(73\) 2.26033 8.43566i 0.264552 0.987320i −0.697973 0.716124i \(-0.745914\pi\)
0.962524 0.271196i \(-0.0874190\pi\)
\(74\) −5.70548 + 9.88218i −0.663248 + 1.14878i
\(75\) 1.98942 + 3.44577i 0.229718 + 0.397883i
\(76\) −2.80087 + 0.750490i −0.321282 + 0.0860871i
\(77\) −2.46748 + 2.80917i −0.281195 + 0.320135i
\(78\) −3.74068 + 9.21546i −0.423549 + 1.04345i
\(79\) −2.78395 + 4.82194i −0.313219 + 0.542511i −0.979057 0.203585i \(-0.934741\pi\)
0.665838 + 0.746096i \(0.268074\pi\)
\(80\) −5.26586 + 5.26586i −0.588742 + 0.588742i
\(81\) −11.0457 −1.22730
\(82\) −12.0662 −1.33249
\(83\) 0.445401 0.445401i 0.0488891 0.0488891i −0.682240 0.731129i \(-0.738994\pi\)
0.731129 + 0.682240i \(0.238994\pi\)
\(84\) 1.20873 2.44622i 0.131883 0.266905i
\(85\) −7.11727 1.90707i −0.771977 0.206851i
\(86\) 0.314981 + 1.17553i 0.0339653 + 0.126760i
\(87\) 10.2737 + 5.93153i 1.10146 + 0.635926i
\(88\) 4.31539i 0.460022i
\(89\) −0.0396274 + 0.147892i −0.00420050 + 0.0156765i −0.967994 0.250972i \(-0.919250\pi\)
0.963794 + 0.266649i \(0.0859164\pi\)
\(90\) −6.30411 −0.664511
\(91\) −0.563727 + 9.52272i −0.0590947 + 0.998252i
\(92\) 0.472125 0.0492224
\(93\) −3.85204 + 14.3760i −0.399438 + 1.49072i
\(94\) 2.84778i 0.293726i
\(95\) 14.1174 + 8.15070i 1.44842 + 0.836245i
\(96\) 1.47681 + 5.51153i 0.150726 + 0.562519i
\(97\) 2.87974 + 0.771623i 0.292393 + 0.0783465i 0.402034 0.915625i \(-0.368303\pi\)
−0.109641 + 0.993971i \(0.534970\pi\)
\(98\) −1.14608 + 8.60104i −0.115771 + 0.868836i
\(99\) 1.95059 1.95059i 0.196042 0.196042i
\(100\) −0.828628 −0.0828628
\(101\) 5.30100 0.527470 0.263735 0.964595i \(-0.415046\pi\)
0.263735 + 0.964595i \(0.415046\pi\)
\(102\) 5.51631 5.51631i 0.546196 0.546196i
\(103\) 2.40977 4.17384i 0.237442 0.411261i −0.722538 0.691331i \(-0.757025\pi\)
0.959979 + 0.280071i \(0.0903579\pi\)
\(104\) −6.76437 8.68700i −0.663301 0.851831i
\(105\) −14.5292 + 4.91931i −1.41791 + 0.480076i
\(106\) 6.05803 1.62325i 0.588408 0.157664i
\(107\) −0.888713 1.53930i −0.0859151 0.148809i 0.819866 0.572556i \(-0.194048\pi\)
−0.905781 + 0.423747i \(0.860715\pi\)
\(108\) 0.540404 0.936007i 0.0520004 0.0900673i
\(109\) 2.58116 9.63303i 0.247231 0.922677i −0.725019 0.688729i \(-0.758169\pi\)
0.972249 0.233948i \(-0.0751645\pi\)
\(110\) −3.22726 + 3.22726i −0.307707 + 0.307707i
\(111\) 5.30192 19.7871i 0.503236 1.87810i
\(112\) −4.19654 6.29125i −0.396536 0.594467i
\(113\) 8.26089 + 14.3083i 0.777119 + 1.34601i 0.933596 + 0.358328i \(0.116653\pi\)
−0.156477 + 0.987682i \(0.550014\pi\)
\(114\) −14.9469 + 8.62957i −1.39990 + 0.808233i
\(115\) −1.87680 1.87680i −0.175013 0.175013i
\(116\) −2.13959 + 1.23530i −0.198656 + 0.114694i
\(117\) 0.869045 6.98415i 0.0803433 0.645685i
\(118\) 9.45589i 0.870485i
\(119\) 3.31470 6.70828i 0.303858 0.614947i
\(120\) 8.85212 15.3323i 0.808085 1.39964i
\(121\) 9.00287i 0.818443i
\(122\) 9.33544 + 2.50142i 0.845191 + 0.226468i
\(123\) 20.9233 5.60637i 1.88659 0.505510i
\(124\) −2.19171 2.19171i −0.196822 0.196822i
\(125\) −5.91742 5.91742i −0.529270 0.529270i
\(126\) 1.25385 6.27781i 0.111702 0.559272i
\(127\) −5.35860 3.09379i −0.475499 0.274529i 0.243040 0.970016i \(-0.421855\pi\)
−0.718539 + 0.695487i \(0.755189\pi\)
\(128\) 5.69700 + 1.52651i 0.503548 + 0.134925i
\(129\) −1.09238 1.89206i −0.0961788 0.166587i
\(130\) −1.43784 + 11.5553i −0.126107 + 1.01347i
\(131\) −2.15037 1.24152i −0.187879 0.108472i 0.403110 0.915151i \(-0.367929\pi\)
−0.590989 + 0.806680i \(0.701262\pi\)
\(132\) 0.377211 + 1.40777i 0.0328320 + 0.122531i
\(133\) −10.9246 + 12.4374i −0.947281 + 1.07846i
\(134\) 14.0292 8.09978i 1.21194 0.699715i
\(135\) −5.86906 + 1.57261i −0.505128 + 0.135349i
\(136\) 2.23518 + 8.34180i 0.191665 + 0.715304i
\(137\) 3.40710 + 12.7155i 0.291088 + 1.08636i 0.944274 + 0.329159i \(0.106765\pi\)
−0.653186 + 0.757197i \(0.726568\pi\)
\(138\) 2.71438 0.727317i 0.231064 0.0619133i
\(139\) −15.3254 + 8.84813i −1.29988 + 0.750488i −0.980384 0.197098i \(-0.936848\pi\)
−0.319500 + 0.947586i \(0.603515\pi\)
\(140\) 0.625689 3.13271i 0.0528804 0.264762i
\(141\) −1.32318 4.93817i −0.111432 0.415869i
\(142\) 12.3361 + 7.12227i 1.03523 + 0.597688i
\(143\) −3.13050 4.02028i −0.261786 0.336193i
\(144\) 2.78973 + 4.83196i 0.232478 + 0.402663i
\(145\) 13.4159 + 3.59479i 1.11413 + 0.298531i
\(146\) 9.37521 + 5.41278i 0.775898 + 0.447965i
\(147\) −2.00900 15.4471i −0.165700 1.27405i
\(148\) 3.01666 + 3.01666i 0.247968 + 0.247968i
\(149\) −11.8340 11.8340i −0.969478 0.969478i 0.0300698 0.999548i \(-0.490427\pi\)
−0.999548 + 0.0300698i \(0.990427\pi\)
\(150\) −4.76402 + 1.27652i −0.388981 + 0.104227i
\(151\) 8.49993 + 2.27755i 0.691715 + 0.185344i 0.587516 0.809212i \(-0.300106\pi\)
0.104198 + 0.994557i \(0.466772\pi\)
\(152\) 19.1061i 1.54971i
\(153\) −2.76024 + 4.78088i −0.223153 + 0.386512i
\(154\) −2.57191 3.85568i −0.207250 0.310699i
\(155\) 17.4251i 1.39962i
\(156\) 2.96601 + 2.24260i 0.237471 + 0.179552i
\(157\) 4.38854 2.53373i 0.350244 0.202213i −0.314549 0.949241i \(-0.601853\pi\)
0.664793 + 0.747028i \(0.268520\pi\)
\(158\) −4.88035 4.88035i −0.388260 0.388260i
\(159\) −9.75066 + 5.62955i −0.773278 + 0.446452i
\(160\) 3.34025 + 5.78549i 0.264070 + 0.457383i
\(161\) 2.24226 1.49569i 0.176715 0.117877i
\(162\) 3.54376 13.2255i 0.278424 1.03909i
\(163\) −1.77633 + 1.77633i −0.139133 + 0.139133i −0.773243 0.634110i \(-0.781367\pi\)
0.634110 + 0.773243i \(0.281367\pi\)
\(164\) −1.16758 + 4.35746i −0.0911726 + 0.340261i
\(165\) 4.09670 7.09569i 0.318928 0.552399i
\(166\) 0.390401 + 0.676194i 0.0303010 + 0.0524828i
\(167\) 2.57849 0.690905i 0.199530 0.0534639i −0.157670 0.987492i \(-0.550398\pi\)
0.357200 + 0.934028i \(0.383732\pi\)
\(168\) 13.5077 + 11.8647i 1.04214 + 0.915382i
\(169\) −12.6036 3.18588i −0.969506 0.245068i
\(170\) 4.56683 7.90998i 0.350260 0.606668i
\(171\) 8.63610 8.63610i 0.660419 0.660419i
\(172\) 0.454997 0.0346932
\(173\) 1.54194 0.117231 0.0586156 0.998281i \(-0.481331\pi\)
0.0586156 + 0.998281i \(0.481331\pi\)
\(174\) −10.3981 + 10.3981i −0.788282 + 0.788282i
\(175\) −3.93539 + 2.62508i −0.297488 + 0.198438i
\(176\) 3.90177 + 1.04547i 0.294107 + 0.0788056i
\(177\) 4.39353 + 16.3969i 0.330238 + 1.23247i
\(178\) −0.164363 0.0948952i −0.0123196 0.00711270i
\(179\) 17.6754i 1.32112i 0.750772 + 0.660562i \(0.229682\pi\)
−0.750772 + 0.660562i \(0.770318\pi\)
\(180\) −0.610014 + 2.27660i −0.0454677 + 0.169688i
\(181\) −0.905550 −0.0673090 −0.0336545 0.999434i \(-0.510715\pi\)
−0.0336545 + 0.999434i \(0.510715\pi\)
\(182\) −11.2211 3.73012i −0.831763 0.276495i
\(183\) −17.3503 −1.28257
\(184\) −0.805148 + 3.00485i −0.0593563 + 0.221521i
\(185\) 23.9838i 1.76332i
\(186\) −15.9772 9.22442i −1.17150 0.676367i
\(187\) 1.03442 + 3.86053i 0.0756446 + 0.282310i
\(188\) 1.02842 + 0.275564i 0.0750052 + 0.0200976i
\(189\) −0.398726 6.15736i −0.0290030 0.447882i
\(190\) −14.2884 + 14.2884i −1.03659 + 1.03659i
\(191\) 23.4266 1.69509 0.847546 0.530723i \(-0.178079\pi\)
0.847546 + 0.530723i \(0.178079\pi\)
\(192\) −19.7944 −1.42854
\(193\) −8.43103 + 8.43103i −0.606878 + 0.606878i −0.942129 0.335251i \(-0.891179\pi\)
0.335251 + 0.942129i \(0.391179\pi\)
\(194\) −1.84780 + 3.20048i −0.132664 + 0.229781i
\(195\) −2.87572 20.7054i −0.205935 1.48274i
\(196\) 2.99519 + 1.24616i 0.213942 + 0.0890112i
\(197\) 10.0281 2.68702i 0.714472 0.191442i 0.116768 0.993159i \(-0.462747\pi\)
0.597704 + 0.801717i \(0.296080\pi\)
\(198\) 1.70973 + 2.96133i 0.121505 + 0.210453i
\(199\) −1.98758 + 3.44258i −0.140896 + 0.244038i −0.927834 0.372993i \(-0.878332\pi\)
0.786939 + 0.617031i \(0.211665\pi\)
\(200\) 1.41312 5.27383i 0.0999225 0.372916i
\(201\) −20.5638 + 20.5638i −1.45046 + 1.45046i
\(202\) −1.70071 + 6.34712i −0.119661 + 0.446582i
\(203\) −6.24815 + 12.6450i −0.438534 + 0.887504i
\(204\) −1.45832 2.52589i −0.102103 0.176848i
\(205\) 21.9633 12.6805i 1.53398 0.885644i
\(206\) 4.22440 + 4.22440i 0.294328 + 0.294328i
\(207\) −1.72215 + 0.994285i −0.119698 + 0.0691076i
\(208\) 9.49314 4.01144i 0.658231 0.278144i
\(209\) 8.84215i 0.611624i
\(210\) −1.22873 18.9747i −0.0847902 1.30938i
\(211\) 2.47669 4.28976i 0.170503 0.295319i −0.768093 0.640338i \(-0.778794\pi\)
0.938596 + 0.345019i \(0.112128\pi\)
\(212\) 2.34481i 0.161042i
\(213\) −24.7006 6.61851i −1.69246 0.453493i
\(214\) 2.12819 0.570246i 0.145480 0.0389812i
\(215\) −1.80871 1.80871i −0.123353 0.123353i
\(216\) 5.03565 + 5.03565i 0.342633 + 0.342633i
\(217\) −17.3524 3.46576i −1.17796 0.235271i
\(218\) 10.7059 + 6.18107i 0.725097 + 0.418635i
\(219\) −18.7719 5.02993i −1.26849 0.339891i
\(220\) 0.853175 + 1.47774i 0.0575211 + 0.0996294i
\(221\) 8.13370 + 6.14989i 0.547132 + 0.413686i
\(222\) 21.9909 + 12.6964i 1.47593 + 0.852129i
\(223\) −4.57716 17.0822i −0.306509 1.14391i −0.931638 0.363387i \(-0.881620\pi\)
0.625129 0.780521i \(-0.285046\pi\)
\(224\) −6.42571 + 2.17562i −0.429336 + 0.145364i
\(225\) 3.02256 1.74507i 0.201504 0.116338i
\(226\) −19.7822 + 5.30063i −1.31589 + 0.352593i
\(227\) 3.92497 + 14.6482i 0.260510 + 0.972235i 0.964942 + 0.262464i \(0.0845350\pi\)
−0.704432 + 0.709771i \(0.748798\pi\)
\(228\) 1.67007 + 6.23279i 0.110603 + 0.412777i
\(229\) 14.4750 3.87857i 0.956536 0.256303i 0.253403 0.967361i \(-0.418450\pi\)
0.703134 + 0.711058i \(0.251784\pi\)
\(230\) 2.84930 1.64505i 0.187877 0.108471i
\(231\) 6.25128 + 5.49090i 0.411304 + 0.361275i
\(232\) −4.21327 15.7241i −0.276615 1.03234i
\(233\) −5.38039 3.10637i −0.352481 0.203505i 0.313297 0.949655i \(-0.398567\pi\)
−0.665777 + 0.746150i \(0.731900\pi\)
\(234\) 8.08361 + 3.28125i 0.528442 + 0.214502i
\(235\) −2.99277 5.18363i −0.195227 0.338142i
\(236\) −3.41480 0.914994i −0.222285 0.0595610i
\(237\) 10.7303 + 6.19515i 0.697008 + 0.402418i
\(238\) 6.96866 + 6.12103i 0.451711 + 0.396767i
\(239\) −14.1820 14.1820i −0.917358 0.917358i 0.0794785 0.996837i \(-0.474674\pi\)
−0.996837 + 0.0794785i \(0.974674\pi\)
\(240\) 11.7182 + 11.7182i 0.756404 + 0.756404i
\(241\) 1.10961 0.297318i 0.0714760 0.0191519i −0.222904 0.974840i \(-0.571554\pi\)
0.294380 + 0.955688i \(0.404887\pi\)
\(242\) −10.7795 2.88836i −0.692934 0.185671i
\(243\) 17.5837i 1.12799i
\(244\) 1.80668 3.12926i 0.115661 0.200330i
\(245\) −6.95281 16.8603i −0.444199 1.07717i
\(246\) 26.8510i 1.71196i
\(247\) −13.8601 17.7995i −0.881895 1.13255i
\(248\) 17.6869 10.2115i 1.12312 0.648433i
\(249\) −0.991153 0.991153i −0.0628118 0.0628118i
\(250\) 8.98365 5.18671i 0.568176 0.328036i
\(251\) 14.3378 + 24.8339i 0.904997 + 1.56750i 0.820921 + 0.571041i \(0.193460\pi\)
0.0840758 + 0.996459i \(0.473206\pi\)
\(252\) −2.14578 1.06027i −0.135171 0.0667909i
\(253\) −0.372617 + 1.39062i −0.0234262 + 0.0874278i
\(254\) 5.42350 5.42350i 0.340301 0.340301i
\(255\) −4.24381 + 15.8381i −0.265758 + 0.991822i
\(256\) 5.23962 9.07528i 0.327476 0.567205i
\(257\) −9.80977 16.9910i −0.611916 1.05987i −0.990917 0.134474i \(-0.957066\pi\)
0.379001 0.925396i \(-0.376268\pi\)
\(258\) 2.61591 0.700930i 0.162859 0.0436380i
\(259\) 23.8837 + 4.77025i 1.48406 + 0.296409i
\(260\) 4.03383 + 1.63739i 0.250167 + 0.101546i
\(261\) 5.20301 9.01188i 0.322058 0.557821i
\(262\) 2.17642 2.17642i 0.134459 0.134459i
\(263\) 8.08686 0.498657 0.249328 0.968419i \(-0.419790\pi\)
0.249328 + 0.968419i \(0.419790\pi\)
\(264\) −9.60307 −0.591028
\(265\) −9.32114 + 9.32114i −0.572593 + 0.572593i
\(266\) −11.3869 17.0707i −0.698178 1.04667i
\(267\) 0.329104 + 0.0881832i 0.0201409 + 0.00539673i
\(268\) −1.56754 5.85015i −0.0957529 0.357355i
\(269\) 12.4201 + 7.17073i 0.757265 + 0.437207i 0.828313 0.560266i \(-0.189301\pi\)
−0.0710476 + 0.997473i \(0.522634\pi\)
\(270\) 7.53181i 0.458371i
\(271\) −6.76641 + 25.2526i −0.411030 + 1.53398i 0.381627 + 0.924316i \(0.375364\pi\)
−0.792657 + 0.609668i \(0.791303\pi\)
\(272\) −8.08376 −0.490150
\(273\) 21.1910 + 1.25447i 1.28254 + 0.0759237i
\(274\) −16.3179 −0.985799
\(275\) 0.653981 2.44069i 0.0394365 0.147179i
\(276\) 1.05062i 0.0632401i
\(277\) −5.08216 2.93419i −0.305357 0.176298i 0.339490 0.940610i \(-0.389746\pi\)
−0.644847 + 0.764312i \(0.723079\pi\)
\(278\) −5.67744 21.1885i −0.340510 1.27080i
\(279\) 12.6103 + 3.37893i 0.754961 + 0.202291i
\(280\) 18.8712 + 9.32464i 1.12777 + 0.557254i
\(281\) 16.4096 16.4096i 0.978913 0.978913i −0.0208690 0.999782i \(-0.506643\pi\)
0.999782 + 0.0208690i \(0.00664330\pi\)
\(282\) 6.33719 0.377374
\(283\) −22.3958 −1.33129 −0.665645 0.746269i \(-0.731843\pi\)
−0.665645 + 0.746269i \(0.731843\pi\)
\(284\) 3.76576 3.76576i 0.223457 0.223457i
\(285\) 18.1378 31.4156i 1.07439 1.86090i
\(286\) 5.81800 2.45847i 0.344026 0.145372i
\(287\) 8.25922 + 24.3937i 0.487527 + 1.43992i
\(288\) 4.83460 1.29543i 0.284882 0.0763338i
\(289\) 4.50084 + 7.79569i 0.264755 + 0.458570i
\(290\) −8.60838 + 14.9102i −0.505502 + 0.875555i
\(291\) 1.71710 6.40830i 0.100658 0.375661i
\(292\) 2.86190 2.86190i 0.167480 0.167480i
\(293\) −1.22119 + 4.55756i −0.0713429 + 0.266255i −0.992379 0.123221i \(-0.960677\pi\)
0.921036 + 0.389477i \(0.127344\pi\)
\(294\) 19.1400 + 2.55037i 1.11627 + 0.148741i
\(295\) 9.93730 + 17.2119i 0.578572 + 1.00212i
\(296\) −24.3442 + 14.0551i −1.41498 + 0.816936i
\(297\) 2.33046 + 2.33046i 0.135227 + 0.135227i
\(298\) 17.9660 10.3727i 1.04074 0.600873i
\(299\) 1.42971 + 3.38344i 0.0826825 + 0.195669i
\(300\) 1.84395i 0.106461i
\(301\) 2.16091 1.44142i 0.124553 0.0830823i
\(302\) −5.45401 + 9.44663i −0.313843 + 0.543592i
\(303\) 11.7964i 0.677683i
\(304\) 17.2748 + 4.62876i 0.990776 + 0.265478i
\(305\) −19.6214 + 5.25755i −1.12352 + 0.301046i
\(306\) −4.83880 4.83880i −0.276616 0.276616i
\(307\) −3.77977 3.77977i −0.215723 0.215723i 0.590970 0.806693i \(-0.298745\pi\)
−0.806693 + 0.590970i \(0.798745\pi\)
\(308\) −1.64127 + 0.555701i −0.0935201 + 0.0316640i
\(309\) −9.28808 5.36248i −0.528380 0.305061i
\(310\) −20.8638 5.59044i −1.18498 0.317516i
\(311\) −1.26681 2.19418i −0.0718343 0.124421i 0.827871 0.560919i \(-0.189552\pi\)
−0.899705 + 0.436498i \(0.856219\pi\)
\(312\) −19.3313 + 15.0528i −1.09442 + 0.852197i
\(313\) 4.62033 + 2.66755i 0.261157 + 0.150779i 0.624862 0.780735i \(-0.285155\pi\)
−0.363705 + 0.931514i \(0.618489\pi\)
\(314\) 1.62578 + 6.06748i 0.0917478 + 0.342408i
\(315\) 4.31512 + 12.7448i 0.243129 + 0.718085i
\(316\) −2.23469 + 1.29020i −0.125711 + 0.0725792i
\(317\) 12.2492 3.28216i 0.687982 0.184344i 0.102141 0.994770i \(-0.467431\pi\)
0.585841 + 0.810426i \(0.300764\pi\)
\(318\) −3.61222 13.4810i −0.202563 0.755976i
\(319\) −1.94987 7.27702i −0.109172 0.407435i
\(320\) −22.3855 + 5.99817i −1.25139 + 0.335308i
\(321\) −3.42541 + 1.97766i −0.191188 + 0.110382i
\(322\) 1.07147 + 3.16461i 0.0597108 + 0.176357i
\(323\) 4.57984 + 17.0922i 0.254829 + 0.951035i
\(324\) −4.43321 2.55951i −0.246289 0.142195i
\(325\) −2.50930 5.93829i −0.139191 0.329397i
\(326\) −1.55698 2.69677i −0.0862333 0.149360i
\(327\) −21.4365 5.74388i −1.18544 0.317637i
\(328\) −25.7420 14.8622i −1.42137 0.820626i
\(329\) 5.75725 1.94929i 0.317407 0.107468i
\(330\) 7.18164 + 7.18164i 0.395336 + 0.395336i
\(331\) 6.32952 + 6.32952i 0.347902 + 0.347902i 0.859328 0.511426i \(-0.170882\pi\)
−0.511426 + 0.859328i \(0.670882\pi\)
\(332\) 0.281971 0.0755538i 0.0154751 0.00414655i
\(333\) −17.3568 4.65074i −0.951146 0.254859i
\(334\) 3.30900i 0.181061i
\(335\) −17.0243 + 29.4870i −0.930137 + 1.61105i
\(336\) −14.0000 + 9.33860i −0.763760 + 0.509463i
\(337\) 8.38324i 0.456664i 0.973583 + 0.228332i \(0.0733272\pi\)
−0.973583 + 0.228332i \(0.926673\pi\)
\(338\) 7.85816 14.0687i 0.427427 0.765236i
\(339\) 31.8403 18.3830i 1.72933 0.998428i
\(340\) −2.41462 2.41462i −0.130951 0.130951i
\(341\) 8.18537 4.72583i 0.443263 0.255918i
\(342\) 7.56968 + 13.1111i 0.409321 + 0.708965i
\(343\) 18.1728 3.57038i 0.981242 0.192782i
\(344\) −0.775938 + 2.89584i −0.0418358 + 0.156133i
\(345\) −4.17646 + 4.17646i −0.224853 + 0.224853i
\(346\) −0.494695 + 1.84623i −0.0265949 + 0.0992537i
\(347\) 13.7882 23.8819i 0.740190 1.28205i −0.212218 0.977222i \(-0.568069\pi\)
0.952408 0.304825i \(-0.0985979\pi\)
\(348\) 2.74891 + 4.76125i 0.147357 + 0.255230i
\(349\) 34.2817 9.18577i 1.83506 0.491703i 0.836633 0.547765i \(-0.184521\pi\)
0.998427 + 0.0560618i \(0.0178544\pi\)
\(350\) −1.88054 5.55421i −0.100519 0.296885i
\(351\) 8.34429 + 1.03829i 0.445385 + 0.0554198i
\(352\) 1.81181 3.13814i 0.0965697 0.167264i
\(353\) −5.13590 + 5.13590i −0.273356 + 0.273356i −0.830450 0.557093i \(-0.811917\pi\)
0.557093 + 0.830450i \(0.311917\pi\)
\(354\) −21.0423 −1.11838
\(355\) −29.9395 −1.58902
\(356\) −0.0501740 + 0.0501740i −0.00265922 + 0.00265922i
\(357\) −14.9280 7.37622i −0.790072 0.390391i
\(358\) −21.1635 5.67075i −1.11853 0.299709i
\(359\) −4.07442 15.2059i −0.215040 0.802539i −0.986153 0.165841i \(-0.946966\pi\)
0.771113 0.636698i \(-0.219700\pi\)
\(360\) −13.4492 7.76490i −0.708835 0.409246i
\(361\) 20.1479i 1.06042i
\(362\) 0.290525 1.08425i 0.0152696 0.0569871i
\(363\) 20.0341 1.05152
\(364\) −2.43286 + 3.69133i −0.127517 + 0.193478i
\(365\) −22.7534 −1.19097
\(366\) 5.56644 20.7742i 0.290962 1.08589i
\(367\) 0.323583i 0.0168909i −0.999964 0.00844546i \(-0.997312\pi\)
0.999964 0.00844546i \(-0.00268830\pi\)
\(368\) −2.52178 1.45595i −0.131457 0.0758967i
\(369\) −4.91779 18.3534i −0.256010 0.955442i
\(370\) 28.7168 + 7.69465i 1.49292 + 0.400026i
\(371\) −7.42833 11.1362i −0.385660 0.578161i
\(372\) −4.87724 + 4.87724i −0.252873 + 0.252873i
\(373\) −32.2880 −1.67181 −0.835905 0.548874i \(-0.815057\pi\)
−0.835905 + 0.548874i \(0.815057\pi\)
\(374\) −4.95424 −0.256178
\(375\) −13.1681 + 13.1681i −0.679997 + 0.679997i
\(376\) −3.50767 + 6.07547i −0.180894 + 0.313318i
\(377\) −15.3319 11.5924i −0.789631 0.597040i
\(378\) 7.50039 + 1.49804i 0.385778 + 0.0770507i
\(379\) 13.3271 3.57099i 0.684568 0.183430i 0.100260 0.994961i \(-0.468033\pi\)
0.584308 + 0.811532i \(0.301366\pi\)
\(380\) 3.77737 + 6.54260i 0.193775 + 0.335628i
\(381\) −6.88463 + 11.9245i −0.352710 + 0.610912i
\(382\) −7.51589 + 28.0497i −0.384547 + 1.43515i
\(383\) −11.8936 + 11.8936i −0.607736 + 0.607736i −0.942354 0.334618i \(-0.891393\pi\)
0.334618 + 0.942354i \(0.391393\pi\)
\(384\) 3.39695 12.6776i 0.173350 0.646950i
\(385\) 8.73345 + 4.31538i 0.445098 + 0.219932i
\(386\) −7.38992 12.7997i −0.376137 0.651489i
\(387\) −1.65967 + 0.958214i −0.0843660 + 0.0487087i
\(388\) 0.976986 + 0.976986i 0.0495990 + 0.0495990i
\(389\) −15.4854 + 8.94050i −0.785141 + 0.453302i −0.838249 0.545287i \(-0.816421\pi\)
0.0531079 + 0.998589i \(0.483087\pi\)
\(390\) 25.7141 + 3.19963i 1.30208 + 0.162019i
\(391\) 2.88112i 0.145705i
\(392\) −13.0391 + 16.9378i −0.658575 + 0.855490i
\(393\) −2.76275 + 4.78523i −0.139363 + 0.241383i
\(394\) 12.8691i 0.648337i
\(395\) 14.0122 + 3.75455i 0.705030 + 0.188912i
\(396\) 1.23487 0.330881i 0.0620543 0.0166274i
\(397\) 4.68972 + 4.68972i 0.235370 + 0.235370i 0.814930 0.579560i \(-0.196775\pi\)
−0.579560 + 0.814930i \(0.696775\pi\)
\(398\) −3.48428 3.48428i −0.174651 0.174651i
\(399\) 27.6771 + 24.3106i 1.38559 + 1.21705i
\(400\) 4.42599 + 2.55534i 0.221299 + 0.127767i
\(401\) 21.2957 + 5.70615i 1.06345 + 0.284952i 0.747801 0.663923i \(-0.231110\pi\)
0.315653 + 0.948875i \(0.397776\pi\)
\(402\) −18.0245 31.2194i −0.898981 1.55708i
\(403\) 9.06965 22.3438i 0.451792 1.11302i
\(404\) 2.12757 + 1.22835i 0.105850 + 0.0611127i
\(405\) 7.44835 + 27.7976i 0.370112 + 1.38128i
\(406\) −13.1358 11.5380i −0.651919 0.572622i
\(407\) −11.2663 + 6.50460i −0.558450 + 0.322421i
\(408\) 18.5631 4.97396i 0.919009 0.246248i
\(409\) 4.28429 + 15.9892i 0.211844 + 0.790614i 0.987254 + 0.159155i \(0.0508770\pi\)
−0.775409 + 0.631459i \(0.782456\pi\)
\(410\) 8.13649 + 30.3658i 0.401833 + 1.49966i
\(411\) 28.2958 7.58185i 1.39573 0.373985i
\(412\) 1.93433 1.11679i 0.0952975 0.0550201i
\(413\) −19.1166 + 6.47249i −0.940665 + 0.318490i
\(414\) −0.637987 2.38100i −0.0313553 0.117020i
\(415\) −1.42124 0.820553i −0.0697659 0.0402793i
\(416\) −1.27182 9.15718i −0.0623560 0.448968i
\(417\) 19.6898 + 34.1037i 0.964214 + 1.67007i
\(418\) 10.5871 + 2.83680i 0.517831 + 0.138752i
\(419\) 23.3376 + 13.4740i 1.14012 + 0.658247i 0.946460 0.322822i \(-0.104631\pi\)
0.193658 + 0.981069i \(0.437965\pi\)
\(420\) −6.97124 1.39235i −0.340162 0.0679397i
\(421\) 11.8511 + 11.8511i 0.577587 + 0.577587i 0.934238 0.356651i \(-0.116081\pi\)
−0.356651 + 0.934238i \(0.616081\pi\)
\(422\) 4.34172 + 4.34172i 0.211352 + 0.211352i
\(423\) −4.33166 + 1.16066i −0.210613 + 0.0564335i
\(424\) 14.9236 + 3.99877i 0.724755 + 0.194197i
\(425\) 5.05667i 0.245285i
\(426\) 15.8492 27.4517i 0.767898 1.33004i
\(427\) −1.33302 20.5853i −0.0645093 0.996191i
\(428\) 0.823732i 0.0398166i
\(429\) −8.94636 + 6.96633i −0.431934 + 0.336338i
\(430\) 2.74593 1.58537i 0.132421 0.0764531i
\(431\) 4.39788 + 4.39788i 0.211838 + 0.211838i 0.805048 0.593210i \(-0.202139\pi\)
−0.593210 + 0.805048i \(0.702139\pi\)
\(432\) −5.77296 + 3.33302i −0.277752 + 0.160360i
\(433\) −5.55807 9.62686i −0.267104 0.462637i 0.701009 0.713153i \(-0.252733\pi\)
−0.968113 + 0.250515i \(0.919400\pi\)
\(434\) 9.71681 19.6649i 0.466422 0.943943i
\(435\) 7.99951 29.8546i 0.383547 1.43142i
\(436\) 3.26812 3.26812i 0.156515 0.156515i
\(437\) −1.64973 + 6.15688i −0.0789174 + 0.294524i
\(438\) 12.0451 20.8627i 0.575537 0.996859i
\(439\) 10.6327 + 18.4163i 0.507470 + 0.878964i 0.999963 + 0.00864699i \(0.00275246\pi\)
−0.492493 + 0.870317i \(0.663914\pi\)
\(440\) −10.8601 + 2.90996i −0.517736 + 0.138727i
\(441\) −13.5498 + 1.76225i −0.645230 + 0.0839169i
\(442\) −9.97303 + 7.76577i −0.474369 + 0.369380i
\(443\) −3.28510 + 5.68996i −0.156080 + 0.270338i −0.933452 0.358703i \(-0.883219\pi\)
0.777372 + 0.629041i \(0.216552\pi\)
\(444\) 6.71300 6.71300i 0.318585 0.318585i
\(445\) 0.398906 0.0189099
\(446\) 21.9217 1.03802
\(447\) −26.3343 + 26.3343i −1.24557 + 1.24557i
\(448\) −1.52080 23.4851i −0.0718510 1.10957i
\(449\) −19.7570 5.29388i −0.932392 0.249834i −0.239518 0.970892i \(-0.576989\pi\)
−0.692874 + 0.721058i \(0.743656\pi\)
\(450\) 1.11973 + 4.17890i 0.0527847 + 0.196995i
\(451\) −11.9132 6.87811i −0.560972 0.323877i
\(452\) 7.65687i 0.360149i
\(453\) 5.06825 18.9150i 0.238127 0.888702i
\(454\) −18.7981 −0.882241
\(455\) 24.3450 5.00270i 1.14131 0.234530i
\(456\) −42.5169 −1.99103
\(457\) 0.185294 0.691526i 0.00866768 0.0323482i −0.961457 0.274957i \(-0.911336\pi\)
0.970124 + 0.242609i \(0.0780031\pi\)
\(458\) 18.5759i 0.867995i
\(459\) −5.71195 3.29779i −0.266611 0.153928i
\(460\) −0.318364 1.18815i −0.0148438 0.0553978i
\(461\) −18.7893 5.03457i −0.875104 0.234484i −0.206811 0.978381i \(-0.566308\pi\)
−0.668294 + 0.743897i \(0.732975\pi\)
\(462\) −8.58007 + 5.72329i −0.399181 + 0.266272i
\(463\) 23.8616 23.8616i 1.10894 1.10894i 0.115653 0.993290i \(-0.463104\pi\)
0.993290 0.115653i \(-0.0368962\pi\)
\(464\) 15.2377 0.707394
\(465\) 38.7762 1.79820
\(466\) 5.44556 5.44556i 0.252261 0.252261i
\(467\) 2.96432 5.13436i 0.137173 0.237590i −0.789253 0.614068i \(-0.789532\pi\)
0.926425 + 0.376479i \(0.122865\pi\)
\(468\) 1.96716 2.60172i 0.0909321 0.120265i
\(469\) −25.9779 22.8181i −1.19955 1.05364i
\(470\) 7.16674 1.92032i 0.330577 0.0885778i
\(471\) −5.63832 9.76586i −0.259800 0.449987i
\(472\) 11.6470 20.1732i 0.536097 0.928547i
\(473\) −0.359099 + 1.34017i −0.0165114 + 0.0616213i
\(474\) −10.8603 + 10.8603i −0.498829 + 0.498829i
\(475\) 2.89545 10.8060i 0.132852 0.495812i
\(476\) 2.88480 1.92429i 0.132225 0.0881999i
\(477\) 4.93812 + 8.55307i 0.226101 + 0.391618i
\(478\) 21.5307 12.4308i 0.984791 0.568569i
\(479\) −15.7982 15.7982i −0.721839 0.721839i 0.247141 0.968980i \(-0.420509\pi\)
−0.968980 + 0.247141i \(0.920509\pi\)
\(480\) 12.8745 7.43309i 0.587637 0.339273i
\(481\) −12.4834 + 30.7539i −0.569195 + 1.40226i
\(482\) 1.42397i 0.0648599i
\(483\) −3.32836 4.98971i −0.151446 0.227040i
\(484\) −2.08615 + 3.61332i −0.0948249 + 0.164242i
\(485\) 7.76747i 0.352703i
\(486\) −21.0537 5.64132i −0.955014 0.255895i
\(487\) 5.19013 1.39069i 0.235187 0.0630182i −0.139300 0.990250i \(-0.544485\pi\)
0.374488 + 0.927232i \(0.377819\pi\)
\(488\) 16.8352 + 16.8352i 0.762093 + 0.762093i
\(489\) 3.95288 + 3.95288i 0.178756 + 0.178756i
\(490\) 22.4182 2.91565i 1.01275 0.131716i
\(491\) 8.53958 + 4.93033i 0.385386 + 0.222503i 0.680159 0.733065i \(-0.261911\pi\)
−0.294773 + 0.955567i \(0.595244\pi\)
\(492\) 9.69670 + 2.59822i 0.437161 + 0.117137i
\(493\) 7.53834 + 13.0568i 0.339510 + 0.588048i
\(494\) 25.7588 10.8847i 1.15894 0.489725i
\(495\) −6.22419 3.59354i −0.279757 0.161518i
\(496\) 4.94783 + 18.4655i 0.222164 + 0.829128i
\(497\) 5.95480 29.8146i 0.267109 1.33737i
\(498\) 1.50474 0.868761i 0.0674289 0.0389301i
\(499\) 0.269775 0.0722859i 0.0120768 0.00323596i −0.252776 0.967525i \(-0.581343\pi\)
0.264852 + 0.964289i \(0.414677\pi\)
\(500\) −1.00378 3.74615i −0.0448903 0.167533i
\(501\) −1.53748 5.73794i −0.0686894 0.256352i
\(502\) −34.3346 + 9.19994i −1.53243 + 0.410613i
\(503\) −14.3969 + 8.31203i −0.641924 + 0.370615i −0.785355 0.619045i \(-0.787520\pi\)
0.143431 + 0.989660i \(0.454186\pi\)
\(504\) 10.4075 11.8487i 0.463586 0.527783i
\(505\) −3.57458 13.3405i −0.159067 0.593645i
\(506\) −1.54551 0.892300i −0.0687062 0.0396676i
\(507\) −7.08956 + 28.0468i −0.314858 + 1.24560i
\(508\) −1.43379 2.48339i −0.0636140 0.110183i
\(509\) −38.9736 10.4429i −1.72748 0.462876i −0.747876 0.663838i \(-0.768926\pi\)
−0.979599 + 0.200963i \(0.935593\pi\)
\(510\) −17.6021 10.1626i −0.779435 0.450007i
\(511\) 4.52553 22.6585i 0.200197 1.00235i
\(512\) 17.5262 + 17.5262i 0.774556 + 0.774556i
\(513\) 10.3180 + 10.3180i 0.455549 + 0.455549i
\(514\) 23.4913 6.29447i 1.03616 0.277637i
\(515\) −12.1289 3.24992i −0.534461 0.143208i
\(516\) 1.01251i 0.0445732i
\(517\) −1.62333 + 2.81168i −0.0713938 + 0.123658i
\(518\) −13.3742 + 27.0666i −0.587627 + 1.18924i
\(519\) 3.43128i 0.150617i
\(520\) −17.3004 + 22.8811i −0.758671 + 1.00340i
\(521\) −15.9440 + 9.20528i −0.698520 + 0.403291i −0.806796 0.590830i \(-0.798800\pi\)
0.108276 + 0.994121i \(0.465467\pi\)
\(522\) 9.12104 + 9.12104i 0.399217 + 0.399217i
\(523\) 10.8259 6.25034i 0.473384 0.273308i −0.244271 0.969707i \(-0.578549\pi\)
0.717655 + 0.696398i \(0.245215\pi\)
\(524\) −0.575369 0.996569i −0.0251351 0.0435353i
\(525\) 5.84162 + 8.75746i 0.254949 + 0.382207i
\(526\) −2.59448 + 9.68274i −0.113125 + 0.422187i
\(527\) −13.3748 + 13.3748i −0.582617 + 0.582617i
\(528\) 2.32650 8.68263i 0.101248 0.377863i
\(529\) −10.9811 + 19.0198i −0.477439 + 0.826948i
\(530\) −8.17012 14.1511i −0.354887 0.614683i
\(531\) 14.3830 3.85391i 0.624169 0.167246i
\(532\) −7.26660 + 2.46032i −0.315047 + 0.106669i
\(533\) −34.7631 + 4.82816i −1.50576 + 0.209131i
\(534\) −0.211171 + 0.365759i −0.00913826 + 0.0158279i
\(535\) −3.27452 + 3.27452i −0.141570 + 0.141570i
\(536\) 39.9067 1.72371
\(537\) 39.3333 1.69736
\(538\) −12.5705 + 12.5705i −0.541954 + 0.541954i
\(539\) −6.03441 + 7.83871i −0.259920 + 0.337637i
\(540\) −2.71996 0.728812i −0.117049 0.0313631i
\(541\) −0.760452 2.83805i −0.0326944 0.122017i 0.947650 0.319311i \(-0.103451\pi\)
−0.980344 + 0.197294i \(0.936785\pi\)
\(542\) −28.0651 16.2034i −1.20550 0.695996i
\(543\) 2.01513i 0.0864773i
\(544\) −1.87687 + 7.00458i −0.0804702 + 0.300319i
\(545\) −25.9830 −1.11299
\(546\) −8.30066 + 24.9704i −0.355236 + 1.06863i
\(547\) 30.4775 1.30312 0.651561 0.758596i \(-0.274114\pi\)
0.651561 + 0.758596i \(0.274114\pi\)
\(548\) −1.57899 + 5.89287i −0.0674511 + 0.251731i
\(549\) 15.2193i 0.649544i
\(550\) 2.71253 + 1.56608i 0.115663 + 0.0667778i
\(551\) −8.63291 32.2185i −0.367774 1.37255i
\(552\) 6.68672 + 1.79170i 0.284606 + 0.0762599i
\(553\) −6.52584 + 13.2070i −0.277507 + 0.561618i
\(554\) 5.14372 5.14372i 0.218536 0.218536i
\(555\) −53.3713 −2.26549
\(556\) −8.20117 −0.347807
\(557\) 1.50088 1.50088i 0.0635944 0.0635944i −0.674594 0.738189i \(-0.735681\pi\)
0.738189 + 0.674594i \(0.235681\pi\)
\(558\) −8.09147 + 14.0148i −0.342539 + 0.593295i
\(559\) 1.37785 + 3.26069i 0.0582767 + 0.137913i
\(560\) −13.0027 + 14.8034i −0.549466 + 0.625556i
\(561\) 8.59086 2.30191i 0.362706 0.0971868i
\(562\) 14.3832 + 24.9125i 0.606721 + 1.05087i
\(563\) −1.26733 + 2.19508i −0.0534115 + 0.0925114i −0.891495 0.453031i \(-0.850343\pi\)
0.838083 + 0.545542i \(0.183676\pi\)
\(564\) 0.613215 2.28855i 0.0258210 0.0963653i
\(565\) 30.4377 30.4377i 1.28053 1.28053i
\(566\) 7.18516 26.8154i 0.302015 1.12714i
\(567\) −29.1631 + 1.88848i −1.22474 + 0.0793089i
\(568\) 17.5453 + 30.3893i 0.736184 + 1.27511i
\(569\) 30.3713 17.5349i 1.27323 0.735099i 0.297635 0.954680i \(-0.403802\pi\)
0.975594 + 0.219581i \(0.0704689\pi\)
\(570\) 31.7962 + 31.7962i 1.33179 + 1.33179i
\(571\) −25.0216 + 14.4462i −1.04712 + 0.604556i −0.921842 0.387566i \(-0.873316\pi\)
−0.125279 + 0.992122i \(0.539983\pi\)
\(572\) −0.324851 2.33895i −0.0135827 0.0977963i
\(573\) 52.1314i 2.17782i
\(574\) −31.8574 + 2.06296i −1.32970 + 0.0861062i
\(575\) −0.910748 + 1.57746i −0.0379808 + 0.0657847i
\(576\) 17.3632i 0.723467i
\(577\) −14.9572 4.00778i −0.622678 0.166846i −0.0663329 0.997798i \(-0.521130\pi\)
−0.556345 + 0.830952i \(0.687797\pi\)
\(578\) −10.7781 + 2.88798i −0.448310 + 0.120124i
\(579\) 18.7616 + 18.7616i 0.779706 + 0.779706i
\(580\) 4.55152 + 4.55152i 0.188992 + 0.188992i
\(581\) 1.09981 1.25211i 0.0456276 0.0519461i
\(582\) 7.12204 + 4.11191i 0.295218 + 0.170444i
\(583\) 6.90654 + 1.85060i 0.286040 + 0.0766441i
\(584\) 13.3341 + 23.0953i 0.551767 + 0.955689i
\(585\) −18.1623 + 2.52252i −0.750920 + 0.104293i
\(586\) −5.06517 2.92438i −0.209240 0.120805i
\(587\) −3.18544 11.8882i −0.131477 0.490679i 0.868511 0.495671i \(-0.165078\pi\)
−0.999988 + 0.00499189i \(0.998411\pi\)
\(588\) 2.77308 6.66523i 0.114360 0.274869i
\(589\) 36.2401 20.9232i 1.49325 0.862127i
\(590\) −23.7967 + 6.37631i −0.979694 + 0.262508i
\(591\) −5.97944 22.3156i −0.245961 0.917940i
\(592\) −6.81016 25.4159i −0.279896 1.04459i
\(593\) −32.9656 + 8.83310i −1.35373 + 0.362732i −0.861512 0.507738i \(-0.830482\pi\)
−0.492222 + 0.870470i \(0.663815\pi\)
\(594\) −3.53804 + 2.04269i −0.145168 + 0.0838125i
\(595\) −19.1172 3.81824i −0.783730 0.156533i
\(596\) −2.00741 7.49177i −0.0822268 0.306875i
\(597\) 7.66081 + 4.42297i 0.313536 + 0.181020i
\(598\) −4.50983 + 0.626359i −0.184421 + 0.0256137i
\(599\) −5.99292 10.3800i −0.244864 0.424117i 0.717229 0.696837i \(-0.245410\pi\)
−0.962093 + 0.272720i \(0.912077\pi\)
\(600\) −11.7359 3.14462i −0.479116 0.128379i
\(601\) −17.2242 9.94437i −0.702588 0.405639i 0.105723 0.994396i \(-0.466284\pi\)
−0.808311 + 0.588756i \(0.799618\pi\)
\(602\) 1.03260 + 3.04980i 0.0420856 + 0.124300i
\(603\) 18.0382 + 18.0382i 0.734570 + 0.734570i
\(604\) 2.88371 + 2.88371i 0.117336 + 0.117336i
\(605\) 22.6566 6.07083i 0.921123 0.246814i
\(606\) 14.1243 + 3.78459i 0.573760 + 0.153739i
\(607\) 9.17039i 0.372214i −0.982529 0.186107i \(-0.940413\pi\)
0.982529 0.186107i \(-0.0595872\pi\)
\(608\) 8.02164 13.8939i 0.325321 0.563472i
\(609\) 28.1390 + 13.9040i 1.14025 + 0.563420i
\(610\) 25.1803i 1.01952i
\(611\) 1.13951 + 8.20456i 0.0460997 + 0.331921i
\(612\) −2.21566 + 1.27921i −0.0895626 + 0.0517090i
\(613\) 13.4460 + 13.4460i 0.543078 + 0.543078i 0.924430 0.381352i \(-0.124541\pi\)
−0.381352 + 0.924430i \(0.624541\pi\)
\(614\) 5.73834 3.31303i 0.231580 0.133703i
\(615\) −28.2180 48.8750i −1.13786 1.97083i
\(616\) −0.737802 11.3936i −0.0297269 0.459061i
\(617\) 6.74741 25.1817i 0.271641 1.01378i −0.686419 0.727207i \(-0.740818\pi\)
0.958059 0.286570i \(-0.0925151\pi\)
\(618\) 9.40059 9.40059i 0.378147 0.378147i
\(619\) −0.397756 + 1.48444i −0.0159872 + 0.0596649i −0.973459 0.228863i \(-0.926499\pi\)
0.957471 + 0.288528i \(0.0931658\pi\)
\(620\) −4.03775 + 6.99359i −0.162160 + 0.280869i
\(621\) −1.18792 2.05754i −0.0476695 0.0825661i
\(622\) 3.03362 0.812855i 0.121637 0.0325925i
\(623\) −0.0793402 + 0.397242i −0.00317870 + 0.0159152i
\(624\) −8.92670 21.1252i −0.357354 0.845683i
\(625\) −15.3715 + 26.6243i −0.614861 + 1.06497i
\(626\) −4.67630 + 4.67630i −0.186903 + 0.186903i
\(627\) −19.6765 −0.785804
\(628\) 2.34846 0.0937139
\(629\) 18.4091 18.4091i 0.734017 0.734017i
\(630\) −16.6442 + 1.07781i −0.663122 + 0.0429411i
\(631\) 5.46012 + 1.46304i 0.217364 + 0.0582425i 0.365858 0.930671i \(-0.380776\pi\)
−0.148493 + 0.988913i \(0.547442\pi\)
\(632\) −4.40053 16.4230i −0.175043 0.653271i
\(633\) −9.54603 5.51141i −0.379421 0.219059i
\(634\) 15.7195i 0.624300i
\(635\) −4.17241 + 15.5717i −0.165577 + 0.617942i
\(636\) −5.21792 −0.206904
\(637\) 0.139735 + 25.2385i 0.00553650 + 0.999985i
\(638\) 9.33866 0.369721
\(639\) −5.80562 + 21.6669i −0.229667 + 0.857128i
\(640\) 15.3664i 0.607411i
\(641\) 1.88634 + 1.08908i 0.0745060 + 0.0430160i 0.536790 0.843716i \(-0.319637\pi\)
−0.462284 + 0.886732i \(0.652970\pi\)
\(642\) −1.26897 4.73587i −0.0500824 0.186910i
\(643\) 23.5550 + 6.31154i 0.928918 + 0.248903i 0.691393 0.722479i \(-0.256997\pi\)
0.237525 + 0.971381i \(0.423664\pi\)
\(644\) 1.24651 0.0807192i 0.0491196 0.00318078i
\(645\) −4.02494 + 4.02494i −0.158482 + 0.158482i
\(646\) −21.9345 −0.863003
\(647\) 25.7027 1.01048 0.505239 0.862979i \(-0.331404\pi\)
0.505239 + 0.862979i \(0.331404\pi\)
\(648\) 23.8504 23.8504i 0.936931 0.936931i
\(649\) 5.39015 9.33602i 0.211582 0.366471i
\(650\) 7.91522 1.09932i 0.310460 0.0431191i
\(651\) −7.71237 + 38.6144i −0.302272 + 1.51342i
\(652\) −1.12455 + 0.301321i −0.0440406 + 0.0118006i
\(653\) −6.14492 10.6433i −0.240469 0.416505i 0.720379 0.693581i \(-0.243968\pi\)
−0.960848 + 0.277076i \(0.910635\pi\)
\(654\) 13.7548 23.8240i 0.537855 0.931592i
\(655\) −1.67436 + 6.24880i −0.0654227 + 0.244161i
\(656\) 19.6741 19.6741i 0.768144 0.768144i
\(657\) −4.41215 + 16.4664i −0.172134 + 0.642414i
\(658\) 0.486886 + 7.51878i 0.0189808 + 0.293113i
\(659\) −22.5477 39.0538i −0.878336 1.52132i −0.853167 0.521639i \(-0.825321\pi\)
−0.0251690 0.999683i \(-0.508012\pi\)
\(660\) 3.28843 1.89858i 0.128002 0.0739020i
\(661\) 10.6687 + 10.6687i 0.414964 + 0.414964i 0.883464 0.468500i \(-0.155205\pi\)
−0.468500 + 0.883464i \(0.655205\pi\)
\(662\) −9.60929 + 5.54792i −0.373475 + 0.215626i
\(663\) 13.6854 18.1000i 0.531496 0.702945i
\(664\) 1.92346i 0.0746446i
\(665\) 38.6667 + 19.1060i 1.49943 + 0.740899i
\(666\) 11.1371 19.2899i 0.431552 0.747470i
\(667\) 5.43087i 0.210284i
\(668\) 1.19498 + 0.320194i 0.0462351 + 0.0123887i
\(669\) −38.0131 + 10.1856i −1.46967 + 0.393798i
\(670\) −29.8441 29.8441i −1.15298 1.15298i
\(671\) 7.79121 + 7.79121i 0.300776 + 0.300776i
\(672\) 4.84142 + 14.2992i 0.186762 + 0.551603i
\(673\) 10.7821 + 6.22503i 0.415618 + 0.239957i 0.693201 0.720744i \(-0.256200\pi\)
−0.277582 + 0.960702i \(0.589533\pi\)
\(674\) −10.0376 2.68957i −0.386634 0.103598i
\(675\) 2.08492 + 3.61119i 0.0802487 + 0.138995i
\(676\) −4.32023 4.19916i −0.166163 0.161506i
\(677\) 32.6889 + 18.8729i 1.25634 + 0.725346i 0.972360 0.233485i \(-0.0750130\pi\)
0.283976 + 0.958831i \(0.408346\pi\)
\(678\) 11.7955 + 44.0215i 0.453005 + 1.69064i
\(679\) 7.73507 + 1.54491i 0.296845 + 0.0592881i
\(680\) 19.4858 11.2501i 0.747245 0.431422i
\(681\) 32.5967 8.73427i 1.24911 0.334698i
\(682\) 3.03235 + 11.3169i 0.116115 + 0.433345i
\(683\) −4.66687 17.4170i −0.178573 0.666443i −0.995915 0.0902909i \(-0.971220\pi\)
0.817343 0.576152i \(-0.195446\pi\)
\(684\) 5.46727 1.46495i 0.209046 0.0560138i
\(685\) 29.7023 17.1486i 1.13487 0.655216i
\(686\) −1.55537 + 22.9046i −0.0593844 + 0.874502i
\(687\) −8.63101 32.2114i −0.329294 1.22894i
\(688\) −2.43029 1.40313i −0.0926541 0.0534938i
\(689\) 16.8039 7.10068i 0.640177 0.270514i
\(690\) −3.66073 6.34057i −0.139362 0.241382i
\(691\) −18.1055 4.85136i −0.688767 0.184555i −0.102573 0.994725i \(-0.532708\pi\)
−0.586194 + 0.810171i \(0.699374\pi\)
\(692\) 0.618858 + 0.357298i 0.0235255 + 0.0135824i
\(693\) 4.81650 5.48349i 0.182964 0.208301i
\(694\) 24.1712 + 24.1712i 0.917525 + 0.917525i
\(695\) 32.6015 + 32.6015i 1.23664 + 1.23664i
\(696\) −34.9910 + 9.37582i −1.32633 + 0.355390i
\(697\) 26.5912 + 7.12510i 1.00722 + 0.269883i
\(698\) 43.9940i 1.66520i
\(699\) −6.91262 + 11.9730i −0.261459 + 0.452861i
\(700\) −2.18776 + 0.141671i −0.0826896 + 0.00535464i
\(701\) 12.1851i 0.460223i 0.973164 + 0.230112i \(0.0739092\pi\)
−0.973164 + 0.230112i \(0.926091\pi\)
\(702\) −3.92026 + 9.65786i −0.147961 + 0.364513i
\(703\) −49.8807 + 28.7986i −1.88129 + 1.08616i
\(704\) 8.88874 + 8.88874i 0.335007 + 0.335007i
\(705\) −11.5352 + 6.65983i −0.434439 + 0.250824i
\(706\) −4.50170 7.79717i −0.169424 0.293450i
\(707\) 13.9958 0.906313i 0.526367 0.0340854i
\(708\) −2.03614 + 7.59899i −0.0765229 + 0.285587i
\(709\) −1.09697 + 1.09697i −0.0411975 + 0.0411975i −0.727405 0.686208i \(-0.759274\pi\)
0.686208 + 0.727405i \(0.259274\pi\)
\(710\) 9.60540 35.8478i 0.360484 1.34535i
\(711\) 5.43425 9.41240i 0.203800 0.352993i
\(712\) −0.233769 0.404899i −0.00876086 0.0151742i
\(713\) −6.58129 + 1.76345i −0.246471 + 0.0660417i
\(714\) 13.6212 15.5074i 0.509759 0.580350i
\(715\) −8.00648 + 10.5892i −0.299425 + 0.396013i
\(716\) −4.09576 + 7.09406i −0.153066 + 0.265118i
\(717\) −31.5593 + 31.5593i −1.17860 + 1.17860i
\(718\) 19.5139 0.728253
\(719\) 22.2064 0.828160 0.414080 0.910241i \(-0.364103\pi\)
0.414080 + 0.910241i \(0.364103\pi\)
\(720\) 10.2789 10.2789i 0.383073 0.383073i
\(721\) 5.64872 11.4319i 0.210369 0.425745i
\(722\) 24.1240 + 6.46400i 0.897802 + 0.240565i
\(723\) −0.661624 2.46922i −0.0246061 0.0918311i
\(724\) −0.363444 0.209834i −0.0135073 0.00779843i
\(725\) 9.53173i 0.354000i
\(726\) −6.42750 + 23.9877i −0.238547 + 0.890269i
\(727\) −20.1830 −0.748547 −0.374274 0.927318i \(-0.622108\pi\)
−0.374274 + 0.927318i \(0.622108\pi\)
\(728\) −19.3447 21.7791i −0.716961 0.807187i
\(729\) 5.99197 0.221925
\(730\) 7.29990 27.2436i 0.270182 1.00833i
\(731\) 2.77660i 0.102696i
\(732\) −6.96356 4.02041i −0.257381 0.148599i
\(733\) 0.974815 + 3.63806i 0.0360056 + 0.134375i 0.981589 0.191005i \(-0.0611746\pi\)
−0.945583 + 0.325380i \(0.894508\pi\)
\(734\) 0.387440 + 0.103814i 0.0143007 + 0.00383185i
\(735\) −37.5194 + 15.4721i −1.38392 + 0.570698i
\(736\) −1.84708 + 1.84708i −0.0680844 + 0.0680844i
\(737\) 18.4685 0.680297
\(738\) 23.5531 0.867003
\(739\) −12.2856 + 12.2856i −0.451934 + 0.451934i −0.895996 0.444062i \(-0.853537\pi\)
0.444062 + 0.895996i \(0.353537\pi\)
\(740\) 5.55754 9.62594i 0.204299 0.353856i
\(741\) −39.6093 + 30.8429i −1.45509 + 1.13304i
\(742\) 15.7170 5.32147i 0.576990 0.195357i
\(743\) 3.38542 0.907121i 0.124199 0.0332790i −0.196184 0.980567i \(-0.562855\pi\)
0.320383 + 0.947288i \(0.396188\pi\)
\(744\) −22.7238 39.3588i −0.833095 1.44296i
\(745\) −21.8015 + 37.7613i −0.798746 + 1.38347i
\(746\) 10.3589 38.6598i 0.379265 1.41544i
\(747\) −0.869419 + 0.869419i −0.0318104 + 0.0318104i
\(748\) −0.479395 + 1.78913i −0.0175284 + 0.0654169i
\(749\) −2.60957 3.91214i −0.0953517 0.142946i
\(750\) −11.5420 19.9914i −0.421455 0.729982i
\(751\) 1.53972 0.888957i 0.0561851 0.0324385i −0.471644 0.881789i \(-0.656339\pi\)
0.527829 + 0.849350i \(0.323006\pi\)
\(752\) −4.64335 4.64335i −0.169326 0.169326i
\(753\) 55.2630 31.9061i 2.01390 1.16272i
\(754\) 18.7990 14.6383i 0.684618 0.533097i
\(755\) 22.9267i 0.834389i
\(756\) 1.26676 2.56366i 0.0460715 0.0932394i
\(757\) −24.7027 + 42.7863i −0.897834 + 1.55509i −0.0675762 + 0.997714i \(0.521527\pi\)
−0.830258 + 0.557380i \(0.811807\pi\)
\(758\) 17.1028i 0.621202i
\(759\) 3.09457 + 0.829187i 0.112326 + 0.0300976i
\(760\) −48.0824 + 12.8836i −1.74413 + 0.467338i
\(761\) 10.5141 + 10.5141i 0.381134 + 0.381134i 0.871511 0.490376i \(-0.163141\pi\)
−0.490376 + 0.871511i \(0.663141\pi\)
\(762\) −12.0690 12.0690i −0.437213 0.437213i
\(763\) 5.16788 25.8746i 0.187090 0.936725i
\(764\) 9.40231 + 5.42843i 0.340164 + 0.196394i
\(765\) 13.8929 + 3.72258i 0.502298 + 0.134590i
\(766\) −10.4249 18.0565i −0.376669 0.652409i
\(767\) −3.78367 27.2427i −0.136620 0.983678i
\(768\) −20.1953 11.6598i −0.728735 0.420735i
\(769\) −7.72722 28.8384i −0.278651 1.03994i −0.953355 0.301850i \(-0.902396\pi\)
0.674705 0.738088i \(-0.264271\pi\)
\(770\) −7.96891 + 9.07244i −0.287180 + 0.326948i
\(771\) −37.8102 + 21.8297i −1.36170 + 0.786179i
\(772\) −5.33745 + 1.43016i −0.192099