Properties

Label 76.2.k.a.59.5
Level $76$
Weight $2$
Character 76.59
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.5
Character \(\chi\) \(=\) 76.59
Dual form 76.2.k.a.67.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.146532 + 1.40660i) q^{2} +(1.20007 + 1.00697i) q^{3} +(-1.95706 - 0.412224i) q^{4} +(0.709721 - 0.258317i) q^{5} +(-1.59226 + 1.54046i) q^{6} +(-0.937645 + 0.541349i) q^{7} +(0.866606 - 2.69240i) q^{8} +(-0.0947852 - 0.537553i) q^{9} +O(q^{10})\) \(q+(-0.146532 + 1.40660i) q^{2} +(1.20007 + 1.00697i) q^{3} +(-1.95706 - 0.412224i) q^{4} +(0.709721 - 0.258317i) q^{5} +(-1.59226 + 1.54046i) q^{6} +(-0.937645 + 0.541349i) q^{7} +(0.866606 - 2.69240i) q^{8} +(-0.0947852 - 0.537553i) q^{9} +(0.259353 + 1.03615i) q^{10} +(-2.64713 - 1.52832i) q^{11} +(-1.93350 - 2.46540i) q^{12} +(2.97626 + 3.54697i) q^{13} +(-0.624068 - 1.39822i) q^{14} +(1.11183 + 0.404673i) q^{15} +(3.66014 + 1.61349i) q^{16} +(0.837695 - 4.75081i) q^{17} +(0.770013 - 0.0545563i) q^{18} +(1.62987 - 4.04271i) q^{19} +(-1.49545 + 0.212978i) q^{20} +(-1.67036 - 0.294530i) q^{21} +(2.53763 - 3.49951i) q^{22} +(-1.30131 + 3.57533i) q^{23} +(3.75116 - 2.35840i) q^{24} +(-3.39325 + 2.84727i) q^{25} +(-5.42528 + 3.66666i) q^{26} +(2.77742 - 4.81062i) q^{27} +(2.05818 - 0.672932i) q^{28} +(-6.38295 + 1.12549i) q^{29} +(-0.732132 + 1.50460i) q^{30} +(-0.249223 - 0.431666i) q^{31} +(-2.80587 + 4.91194i) q^{32} +(-1.63775 - 4.49968i) q^{33} +(6.55974 + 1.87445i) q^{34} +(-0.525626 + 0.626417i) q^{35} +(-0.0360925 + 1.09110i) q^{36} +2.70604i q^{37} +(5.44766 + 2.88496i) q^{38} +7.25360i q^{39} +(-0.0804437 - 2.13471i) q^{40} +(-3.63013 + 4.32622i) q^{41} +(0.659047 - 2.30637i) q^{42} +(2.40019 + 6.59447i) q^{43} +(4.55057 + 4.08222i) q^{44} +(-0.206130 - 0.357028i) q^{45} +(-4.83838 - 2.35433i) q^{46} +(-8.31690 + 1.46649i) q^{47} +(2.76767 + 5.62197i) q^{48} +(-2.91388 + 5.04699i) q^{49} +(-3.50776 - 5.19016i) q^{50} +(5.78923 - 4.85774i) q^{51} +(-4.36256 - 8.16850i) q^{52} +(4.64782 - 12.7698i) q^{53} +(6.35965 + 4.61163i) q^{54} +(-2.27352 - 0.400882i) q^{55} +(0.644958 + 2.99365i) q^{56} +(6.02685 - 3.21029i) q^{57} +(-0.647805 - 9.14318i) q^{58} +(0.185976 - 1.05472i) q^{59} +(-2.00910 - 1.25029i) q^{60} +(5.54306 + 2.01751i) q^{61} +(0.643701 - 0.287304i) q^{62} +(0.379879 + 0.452722i) q^{63} +(-6.49799 - 4.66649i) q^{64} +(3.02855 + 1.74854i) q^{65} +(6.56924 - 1.64431i) q^{66} +(-2.28900 - 12.9816i) q^{67} +(-3.59781 + 8.95228i) q^{68} +(-5.16193 + 2.98024i) q^{69} +(-0.804098 - 0.831136i) q^{70} +(2.22740 - 0.810707i) q^{71} +(-1.52945 - 0.210648i) q^{72} +(4.77080 + 4.00317i) q^{73} +(-3.80632 - 0.396521i) q^{74} -6.93925 q^{75} +(-4.85624 + 7.23995i) q^{76} +3.30942 q^{77} +(-10.2029 - 1.06288i) q^{78} +(10.7050 + 8.98260i) q^{79} +(3.01447 + 0.199651i) q^{80} +(6.63847 - 2.41621i) q^{81} +(-5.55333 - 5.74007i) q^{82} +(10.7411 - 6.20140i) q^{83} +(3.14758 + 1.26497i) q^{84} +(-0.632685 - 3.58814i) q^{85} +(-9.62750 + 2.40981i) q^{86} +(-8.79329 - 5.07681i) q^{87} +(-6.40887 + 5.80267i) q^{88} +(3.51946 + 4.19433i) q^{89} +(0.532401 - 0.237627i) q^{90} +(-4.71082 - 1.71460i) q^{91} +(4.02058 - 6.46069i) q^{92} +(0.135593 - 0.768988i) q^{93} +(-0.844082 - 11.9135i) q^{94} +(0.112447 - 3.29022i) q^{95} +(-8.31342 + 3.06921i) q^{96} +(-3.44962 - 0.608262i) q^{97} +(-6.67213 - 4.83822i) q^{98} +(-0.570646 + 1.56784i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.146532 + 1.40660i −0.103614 + 0.994618i
\(3\) 1.20007 + 1.00697i 0.692858 + 0.581377i 0.919732 0.392547i \(-0.128406\pi\)
−0.226874 + 0.973924i \(0.572851\pi\)
\(4\) −1.95706 0.412224i −0.978528 0.206112i
\(5\) 0.709721 0.258317i 0.317397 0.115523i −0.178409 0.983956i \(-0.557095\pi\)
0.495806 + 0.868433i \(0.334873\pi\)
\(6\) −1.59226 + 1.54046i −0.650037 + 0.628890i
\(7\) −0.937645 + 0.541349i −0.354396 + 0.204611i −0.666620 0.745398i \(-0.732260\pi\)
0.312223 + 0.950009i \(0.398926\pi\)
\(8\) 0.866606 2.69240i 0.306392 0.951906i
\(9\) −0.0947852 0.537553i −0.0315951 0.179184i
\(10\) 0.259353 + 1.03615i 0.0820145 + 0.327658i
\(11\) −2.64713 1.52832i −0.798140 0.460806i 0.0446804 0.999001i \(-0.485773\pi\)
−0.842820 + 0.538195i \(0.819106\pi\)
\(12\) −1.93350 2.46540i −0.558152 0.711700i
\(13\) 2.97626 + 3.54697i 0.825465 + 0.983751i 1.00000 0.000899967i \(-0.000286468\pi\)
−0.174534 + 0.984651i \(0.555842\pi\)
\(14\) −0.624068 1.39822i −0.166789 0.373689i
\(15\) 1.11183 + 0.404673i 0.287073 + 0.104486i
\(16\) 3.66014 + 1.61349i 0.915036 + 0.403373i
\(17\) 0.837695 4.75081i 0.203171 1.15224i −0.697121 0.716953i \(-0.745536\pi\)
0.900292 0.435286i \(-0.143353\pi\)
\(18\) 0.770013 0.0545563i 0.181494 0.0128590i
\(19\) 1.62987 4.04271i 0.373917 0.927462i
\(20\) −1.49545 + 0.212978i −0.334392 + 0.0476232i
\(21\) −1.67036 0.294530i −0.364502 0.0642716i
\(22\) 2.53763 3.49951i 0.541024 0.746098i
\(23\) −1.30131 + 3.57533i −0.271343 + 0.745508i 0.726927 + 0.686714i \(0.240948\pi\)
−0.998270 + 0.0587937i \(0.981275\pi\)
\(24\) 3.75116 2.35840i 0.765702 0.481406i
\(25\) −3.39325 + 2.84727i −0.678649 + 0.569454i
\(26\) −5.42528 + 3.66666i −1.06399 + 0.719092i
\(27\) 2.77742 4.81062i 0.534514 0.925805i
\(28\) 2.05818 0.672932i 0.388960 0.127172i
\(29\) −6.38295 + 1.12549i −1.18528 + 0.208997i −0.731327 0.682027i \(-0.761099\pi\)
−0.453956 + 0.891024i \(0.649988\pi\)
\(30\) −0.732132 + 1.50460i −0.133668 + 0.274702i
\(31\) −0.249223 0.431666i −0.0447617 0.0775295i 0.842777 0.538264i \(-0.180920\pi\)
−0.887538 + 0.460734i \(0.847586\pi\)
\(32\) −2.80587 + 4.91194i −0.496012 + 0.868316i
\(33\) −1.63775 4.49968i −0.285095 0.783293i
\(34\) 6.55974 + 1.87445i 1.12499 + 0.321465i
\(35\) −0.525626 + 0.626417i −0.0888470 + 0.105884i
\(36\) −0.0360925 + 1.09110i −0.00601541 + 0.181849i
\(37\) 2.70604i 0.444870i 0.974948 + 0.222435i \(0.0714005\pi\)
−0.974948 + 0.222435i \(0.928600\pi\)
\(38\) 5.44766 + 2.88496i 0.883727 + 0.468002i
\(39\) 7.25360i 1.16151i
\(40\) −0.0804437 2.13471i −0.0127193 0.337527i
\(41\) −3.63013 + 4.32622i −0.566930 + 0.675641i −0.970998 0.239088i \(-0.923152\pi\)
0.404068 + 0.914729i \(0.367596\pi\)
\(42\) 0.659047 2.30637i 0.101693 0.355881i
\(43\) 2.40019 + 6.59447i 0.366026 + 1.00565i 0.976858 + 0.213888i \(0.0686126\pi\)
−0.610833 + 0.791760i \(0.709165\pi\)
\(44\) 4.55057 + 4.08222i 0.686025 + 0.615418i
\(45\) −0.206130 0.357028i −0.0307281 0.0532226i
\(46\) −4.83838 2.35433i −0.713381 0.347127i
\(47\) −8.31690 + 1.46649i −1.21314 + 0.213910i −0.743373 0.668877i \(-0.766775\pi\)
−0.469772 + 0.882788i \(0.655664\pi\)
\(48\) 2.76767 + 5.62197i 0.399478 + 0.811461i
\(49\) −2.91388 + 5.04699i −0.416269 + 0.720999i
\(50\) −3.50776 5.19016i −0.496072 0.734000i
\(51\) 5.78923 4.85774i 0.810654 0.680219i
\(52\) −4.36256 8.16850i −0.604978 1.13277i
\(53\) 4.64782 12.7698i 0.638427 1.75406i −0.0181838 0.999835i \(-0.505788\pi\)
0.656611 0.754229i \(-0.271989\pi\)
\(54\) 6.35965 + 4.61163i 0.865439 + 0.627563i
\(55\) −2.27352 0.400882i −0.306561 0.0540549i
\(56\) 0.644958 + 2.99365i 0.0861862 + 0.400043i
\(57\) 6.02685 3.21029i 0.798276 0.425213i
\(58\) −0.647805 9.14318i −0.0850609 1.20056i
\(59\) 0.185976 1.05472i 0.0242121 0.137313i −0.970306 0.241882i \(-0.922235\pi\)
0.994518 + 0.104569i \(0.0333463\pi\)
\(60\) −2.00910 1.25029i −0.259373 0.161412i
\(61\) 5.54306 + 2.01751i 0.709715 + 0.258315i 0.671553 0.740956i \(-0.265627\pi\)
0.0381622 + 0.999272i \(0.487850\pi\)
\(62\) 0.643701 0.287304i 0.0817502 0.0364876i
\(63\) 0.379879 + 0.452722i 0.0478603 + 0.0570376i
\(64\) −6.49799 4.66649i −0.812248 0.583312i
\(65\) 3.02855 + 1.74854i 0.375646 + 0.216879i
\(66\) 6.56924 1.64431i 0.808617 0.202401i
\(67\) −2.28900 12.9816i −0.279646 1.58595i −0.723806 0.690003i \(-0.757609\pi\)
0.444160 0.895947i \(-0.353502\pi\)
\(68\) −3.59781 + 8.95228i −0.436299 + 1.08562i
\(69\) −5.16193 + 2.98024i −0.621423 + 0.358779i
\(70\) −0.804098 0.831136i −0.0961081 0.0993398i
\(71\) 2.22740 0.810707i 0.264344 0.0962132i −0.206448 0.978458i \(-0.566191\pi\)
0.470792 + 0.882244i \(0.343968\pi\)
\(72\) −1.52945 0.210648i −0.180247 0.0248251i
\(73\) 4.77080 + 4.00317i 0.558380 + 0.468536i 0.877767 0.479088i \(-0.159033\pi\)
−0.319387 + 0.947624i \(0.603477\pi\)
\(74\) −3.80632 0.396521i −0.442475 0.0460946i
\(75\) −6.93925 −0.801275
\(76\) −4.85624 + 7.23995i −0.557049 + 0.830479i
\(77\) 3.30942 0.377144
\(78\) −10.2029 1.06288i −1.15525 0.120348i
\(79\) 10.7050 + 8.98260i 1.20441 + 1.01062i 0.999493 + 0.0318423i \(0.0101374\pi\)
0.204919 + 0.978779i \(0.434307\pi\)
\(80\) 3.01447 + 0.199651i 0.337028 + 0.0223216i
\(81\) 6.63847 2.41621i 0.737608 0.268467i
\(82\) −5.55333 5.74007i −0.613263 0.633885i
\(83\) 10.7411 6.20140i 1.17899 0.680692i 0.223212 0.974770i \(-0.428346\pi\)
0.955782 + 0.294077i \(0.0950123\pi\)
\(84\) 3.14758 + 1.26497i 0.343429 + 0.138020i
\(85\) −0.632685 3.58814i −0.0686243 0.389188i
\(86\) −9.62750 + 2.40981i −1.03816 + 0.259857i
\(87\) −8.79329 5.07681i −0.942739 0.544291i
\(88\) −6.40887 + 5.80267i −0.683187 + 0.618567i
\(89\) 3.51946 + 4.19433i 0.373062 + 0.444598i 0.919612 0.392828i \(-0.128503\pi\)
−0.546549 + 0.837427i \(0.684059\pi\)
\(90\) 0.532401 0.237627i 0.0561200 0.0250481i
\(91\) −4.71082 1.71460i −0.493828 0.179739i
\(92\) 4.02058 6.46069i 0.419175 0.673574i
\(93\) 0.135593 0.768988i 0.0140604 0.0797404i
\(94\) −0.844082 11.9135i −0.0870604 1.22878i
\(95\) 0.112447 3.29022i 0.0115368 0.337569i
\(96\) −8.31342 + 3.06921i −0.848485 + 0.313250i
\(97\) −3.44962 0.608262i −0.350256 0.0617596i −0.00424764 0.999991i \(-0.501352\pi\)
−0.346009 + 0.938231i \(0.612463\pi\)
\(98\) −6.67213 4.83822i −0.673987 0.488734i
\(99\) −0.570646 + 1.56784i −0.0573520 + 0.157573i
\(100\) 7.81449 4.17350i 0.781449 0.417350i
\(101\) −0.588423 + 0.493745i −0.0585502 + 0.0491295i −0.671593 0.740920i \(-0.734390\pi\)
0.613043 + 0.790050i \(0.289945\pi\)
\(102\) 5.98460 + 8.85495i 0.592563 + 0.876771i
\(103\) −7.50991 + 13.0075i −0.739973 + 1.28167i 0.212533 + 0.977154i \(0.431829\pi\)
−0.952507 + 0.304518i \(0.901505\pi\)
\(104\) 12.1291 4.93944i 1.18935 0.484352i
\(105\) −1.26157 + 0.222449i −0.123117 + 0.0217088i
\(106\) 17.2809 + 8.40881i 1.67847 + 0.816736i
\(107\) 7.48422 + 12.9630i 0.723527 + 1.25319i 0.959578 + 0.281444i \(0.0908135\pi\)
−0.236051 + 0.971741i \(0.575853\pi\)
\(108\) −7.41861 + 8.26975i −0.713856 + 0.795757i
\(109\) −1.20073 3.29897i −0.115009 0.315984i 0.868811 0.495143i \(-0.164884\pi\)
−0.983820 + 0.179160i \(0.942662\pi\)
\(110\) 0.897024 3.13919i 0.0855279 0.299310i
\(111\) −2.72491 + 3.24742i −0.258637 + 0.308231i
\(112\) −4.30538 + 0.468534i −0.406820 + 0.0442723i
\(113\) 4.87099i 0.458224i −0.973400 0.229112i \(-0.926418\pi\)
0.973400 0.229112i \(-0.0735823\pi\)
\(114\) 3.63247 + 8.94779i 0.340212 + 0.838038i
\(115\) 2.87364i 0.267968i
\(116\) 12.9557 + 0.428564i 1.20291 + 0.0397912i
\(117\) 1.62458 1.93610i 0.150192 0.178992i
\(118\) 1.45633 + 0.416145i 0.134066 + 0.0383093i
\(119\) 1.78639 + 4.90805i 0.163758 + 0.449921i
\(120\) 2.05306 2.64279i 0.187418 0.241253i
\(121\) −0.828467 1.43495i −0.0753151 0.130450i
\(122\) −3.65006 + 7.50124i −0.330461 + 0.679131i
\(123\) −8.71278 + 1.53630i −0.785605 + 0.138523i
\(124\) 0.309800 + 0.947531i 0.0278208 + 0.0850908i
\(125\) −3.56093 + 6.16771i −0.318499 + 0.551657i
\(126\) −0.692464 + 0.468000i −0.0616896 + 0.0416928i
\(127\) 8.42048 7.06562i 0.747197 0.626973i −0.187563 0.982253i \(-0.560059\pi\)
0.934760 + 0.355280i \(0.115614\pi\)
\(128\) 7.51606 8.45629i 0.664332 0.747438i
\(129\) −3.76008 + 10.3307i −0.331056 + 0.909570i
\(130\) −2.90327 + 4.00375i −0.254634 + 0.351152i
\(131\) 10.7902 + 1.90260i 0.942741 + 0.166231i 0.623835 0.781556i \(-0.285574\pi\)
0.318906 + 0.947786i \(0.396685\pi\)
\(132\) 1.35029 + 9.48125i 0.117528 + 0.825236i
\(133\) 0.660287 + 4.67296i 0.0572541 + 0.405197i
\(134\) 18.5953 1.31750i 1.60639 0.113815i
\(135\) 0.728522 4.13165i 0.0627012 0.355596i
\(136\) −12.0651 6.37248i −1.03457 0.546436i
\(137\) −11.6234 4.23059i −0.993057 0.361443i −0.206154 0.978520i \(-0.566095\pi\)
−0.786903 + 0.617076i \(0.788317\pi\)
\(138\) −3.43562 7.69748i −0.292460 0.655253i
\(139\) −5.97171 7.11681i −0.506514 0.603640i 0.450823 0.892613i \(-0.351130\pi\)
−0.957337 + 0.288974i \(0.906686\pi\)
\(140\) 1.28690 1.00926i 0.108763 0.0852978i
\(141\) −11.4575 6.61502i −0.964900 0.557085i
\(142\) 0.813957 + 3.25186i 0.0683057 + 0.272890i
\(143\) −2.45764 13.9380i −0.205518 1.16555i
\(144\) 0.520411 2.12046i 0.0433675 0.176705i
\(145\) −4.23938 + 2.44760i −0.352061 + 0.203263i
\(146\) −6.32995 + 6.12402i −0.523870 + 0.506828i
\(147\) −8.57904 + 3.12251i −0.707587 + 0.257541i
\(148\) 1.11549 5.29587i 0.0916930 0.435318i
\(149\) −0.921936 0.773596i −0.0755280 0.0633755i 0.604242 0.796801i \(-0.293476\pi\)
−0.679770 + 0.733425i \(0.737920\pi\)
\(150\) 1.01682 9.76076i 0.0830231 0.796962i
\(151\) 2.35305 0.191489 0.0957444 0.995406i \(-0.469477\pi\)
0.0957444 + 0.995406i \(0.469477\pi\)
\(152\) −9.47213 7.89168i −0.768292 0.640100i
\(153\) −2.63321 −0.212883
\(154\) −0.484936 + 4.65504i −0.0390773 + 0.375114i
\(155\) −0.288385 0.241984i −0.0231637 0.0194366i
\(156\) 2.99011 14.1957i 0.239400 1.13657i
\(157\) −3.10209 + 1.12907i −0.247573 + 0.0901093i −0.462826 0.886449i \(-0.653165\pi\)
0.215253 + 0.976558i \(0.430942\pi\)
\(158\) −14.2036 + 13.7415i −1.12998 + 1.09321i
\(159\) 18.4365 10.6443i 1.46211 0.844151i
\(160\) −0.722545 + 4.21091i −0.0571222 + 0.332901i
\(161\) −0.715333 4.05686i −0.0563762 0.319725i
\(162\) 2.42589 + 9.69174i 0.190596 + 0.761455i
\(163\) −0.156238 0.0902042i −0.0122375 0.00706534i 0.493869 0.869536i \(-0.335582\pi\)
−0.506106 + 0.862471i \(0.668916\pi\)
\(164\) 8.88773 6.97022i 0.694015 0.544283i
\(165\) −2.32469 2.77046i −0.180977 0.215680i
\(166\) 7.14898 + 16.0172i 0.554869 + 1.24318i
\(167\) −12.2782 4.46888i −0.950112 0.345813i −0.179961 0.983674i \(-0.557597\pi\)
−0.770151 + 0.637861i \(0.779819\pi\)
\(168\) −2.24053 + 4.24203i −0.172861 + 0.327280i
\(169\) −1.46543 + 8.31086i −0.112725 + 0.639297i
\(170\) 5.13979 0.364160i 0.394204 0.0279298i
\(171\) −2.32766 0.492950i −0.178001 0.0376968i
\(172\) −1.97891 13.8952i −0.150891 1.05950i
\(173\) 1.30043 + 0.229300i 0.0988695 + 0.0174334i 0.222864 0.974850i \(-0.428459\pi\)
−0.123995 + 0.992283i \(0.539571\pi\)
\(174\) 8.42954 11.6247i 0.639042 0.881269i
\(175\) 1.64029 4.50666i 0.123994 0.340672i
\(176\) −7.22294 9.86500i −0.544450 0.743602i
\(177\) 1.28526 1.07846i 0.0966064 0.0810624i
\(178\) −6.41547 + 4.33588i −0.480860 + 0.324988i
\(179\) 4.15946 7.20439i 0.310892 0.538481i −0.667663 0.744463i \(-0.732705\pi\)
0.978556 + 0.205982i \(0.0660388\pi\)
\(180\) 0.256233 + 0.783696i 0.0190985 + 0.0584133i
\(181\) 14.1155 2.48894i 1.04920 0.185001i 0.377637 0.925954i \(-0.376737\pi\)
0.671558 + 0.740952i \(0.265625\pi\)
\(182\) 3.10204 6.37500i 0.229939 0.472547i
\(183\) 4.62045 + 8.00285i 0.341554 + 0.591588i
\(184\) 8.49848 + 6.60206i 0.626516 + 0.486710i
\(185\) 0.699016 + 1.92053i 0.0513927 + 0.141200i
\(186\) 1.06179 + 0.303407i 0.0778543 + 0.0222469i
\(187\) −9.47825 + 11.2957i −0.693118 + 0.826026i
\(188\) 16.8812 + 0.558414i 1.23119 + 0.0407265i
\(189\) 6.01421i 0.437469i
\(190\) 4.61155 + 0.640290i 0.334557 + 0.0464515i
\(191\) 3.41758i 0.247287i 0.992327 + 0.123644i \(0.0394580\pi\)
−0.992327 + 0.123644i \(0.960542\pi\)
\(192\) −3.09897 12.1434i −0.223649 0.876375i
\(193\) 12.8703 15.3383i 0.926428 1.10407i −0.0678973 0.997692i \(-0.521629\pi\)
0.994325 0.106382i \(-0.0339265\pi\)
\(194\) 1.36106 4.76312i 0.0977185 0.341972i
\(195\) 1.87373 + 5.14803i 0.134181 + 0.368658i
\(196\) 7.78312 8.67608i 0.555937 0.619720i
\(197\) 6.96502 + 12.0638i 0.496237 + 0.859508i 0.999991 0.00433940i \(-0.00138128\pi\)
−0.503753 + 0.863848i \(0.668048\pi\)
\(198\) −2.12170 1.03241i −0.150783 0.0733701i
\(199\) −24.0045 + 4.23264i −1.70164 + 0.300044i −0.938265 0.345917i \(-0.887568\pi\)
−0.763370 + 0.645961i \(0.776457\pi\)
\(200\) 4.72537 + 11.6034i 0.334134 + 0.820486i
\(201\) 10.3252 17.8837i 0.728280 1.26142i
\(202\) −0.608280 0.900026i −0.0427984 0.0633256i
\(203\) 5.37565 4.51071i 0.377297 0.316590i
\(204\) −13.3323 + 7.12041i −0.933449 + 0.498529i
\(205\) −1.45884 + 4.00813i −0.101890 + 0.279940i
\(206\) −17.1960 12.4695i −1.19810 0.868789i
\(207\) 2.04528 + 0.360637i 0.142157 + 0.0250660i
\(208\) 5.17053 + 17.7846i 0.358512 + 1.23314i
\(209\) −10.4930 + 8.21063i −0.725818 + 0.567941i
\(210\) −0.128037 1.80712i −0.00883538 0.124703i
\(211\) −2.02045 + 11.4585i −0.139093 + 0.788837i 0.832828 + 0.553531i \(0.186720\pi\)
−0.971921 + 0.235305i \(0.924391\pi\)
\(212\) −14.3601 + 23.0752i −0.986253 + 1.58481i
\(213\) 3.48938 + 1.27003i 0.239089 + 0.0870212i
\(214\) −19.3305 + 8.62782i −1.32141 + 0.589785i
\(215\) 3.40693 + 4.06022i 0.232351 + 0.276905i
\(216\) −10.5452 11.6468i −0.717508 0.792465i
\(217\) 0.467364 + 0.269833i 0.0317268 + 0.0183175i
\(218\) 4.81628 1.20554i 0.326199 0.0816494i
\(219\) 1.69417 + 9.60814i 0.114482 + 0.649258i
\(220\) 4.28414 + 1.72175i 0.288837 + 0.116080i
\(221\) 19.3441 11.1683i 1.30123 0.751264i
\(222\) −4.16854 4.30871i −0.279774 0.289182i
\(223\) 18.9595 6.90070i 1.26962 0.462105i 0.382636 0.923899i \(-0.375016\pi\)
0.886987 + 0.461794i \(0.152794\pi\)
\(224\) −0.0281663 6.12461i −0.00188194 0.409217i
\(225\) 1.85219 + 1.55417i 0.123479 + 0.103611i
\(226\) 6.85155 + 0.713756i 0.455758 + 0.0474783i
\(227\) 4.00906 0.266091 0.133045 0.991110i \(-0.457524\pi\)
0.133045 + 0.991110i \(0.457524\pi\)
\(228\) −13.1183 + 3.79830i −0.868778 + 0.251549i
\(229\) −21.5588 −1.42465 −0.712324 0.701851i \(-0.752357\pi\)
−0.712324 + 0.701851i \(0.752357\pi\)
\(230\) −4.04206 0.421080i −0.266526 0.0277652i
\(231\) 3.97153 + 3.33251i 0.261307 + 0.219263i
\(232\) −2.50125 + 18.1608i −0.164215 + 1.19231i
\(233\) 0.862546 0.313941i 0.0565073 0.0205670i −0.313612 0.949551i \(-0.601539\pi\)
0.370119 + 0.928984i \(0.379317\pi\)
\(234\) 2.48526 + 2.56883i 0.162467 + 0.167930i
\(235\) −5.52386 + 3.18920i −0.360337 + 0.208040i
\(236\) −0.798749 + 1.98749i −0.0519941 + 0.129375i
\(237\) 3.80151 + 21.5594i 0.246934 + 1.40043i
\(238\) −7.16544 + 1.79355i −0.464466 + 0.116258i
\(239\) −11.7324 6.77369i −0.758904 0.438154i 0.0699979 0.997547i \(-0.477701\pi\)
−0.828902 + 0.559394i \(0.811034\pi\)
\(240\) 3.41652 + 3.27509i 0.220535 + 0.211406i
\(241\) −7.78203 9.27426i −0.501284 0.597408i 0.454766 0.890611i \(-0.349723\pi\)
−0.956050 + 0.293204i \(0.905279\pi\)
\(242\) 2.13979 0.955057i 0.137551 0.0613934i
\(243\) −5.25984 1.91443i −0.337419 0.122810i
\(244\) −10.0164 6.23336i −0.641235 0.399050i
\(245\) −0.764317 + 4.33466i −0.0488304 + 0.276931i
\(246\) −0.884259 12.4805i −0.0563783 0.795729i
\(247\) 19.1903 6.25108i 1.22105 0.397747i
\(248\) −1.37819 + 0.296921i −0.0875154 + 0.0188545i
\(249\) 19.1347 + 3.37397i 1.21261 + 0.213817i
\(250\) −8.15372 5.91258i −0.515687 0.373944i
\(251\) −6.39165 + 17.5609i −0.403437 + 1.10843i 0.557139 + 0.830419i \(0.311899\pi\)
−0.960577 + 0.278016i \(0.910323\pi\)
\(252\) −0.556822 1.04260i −0.0350765 0.0656775i
\(253\) 8.90900 7.47554i 0.560104 0.469983i
\(254\) 8.70465 + 12.8796i 0.546178 + 0.808138i
\(255\) 2.85390 4.94309i 0.178718 0.309549i
\(256\) 10.7933 + 11.8112i 0.674581 + 0.738201i
\(257\) 9.08137 1.60129i 0.566481 0.0998858i 0.116929 0.993140i \(-0.462695\pi\)
0.449551 + 0.893254i \(0.351584\pi\)
\(258\) −13.9802 6.80271i −0.870372 0.423518i
\(259\) −1.46491 2.53730i −0.0910252 0.157660i
\(260\) −5.20626 4.67043i −0.322879 0.289648i
\(261\) 1.21002 + 3.32449i 0.0748982 + 0.205781i
\(262\) −4.25730 + 14.8987i −0.263017 + 0.920443i
\(263\) 5.04261 6.00955i 0.310941 0.370565i −0.587829 0.808985i \(-0.700017\pi\)
0.898770 + 0.438420i \(0.144462\pi\)
\(264\) −13.5342 + 0.510019i −0.832972 + 0.0313895i
\(265\) 10.2636i 0.630487i
\(266\) −6.66974 + 0.244023i −0.408948 + 0.0149620i
\(267\) 8.57748i 0.524933i
\(268\) −0.871609 + 26.3492i −0.0532420 + 1.60954i
\(269\) −7.71584 + 9.19538i −0.470443 + 0.560652i −0.948132 0.317877i \(-0.897030\pi\)
0.477689 + 0.878529i \(0.341475\pi\)
\(270\) 5.70484 + 1.63016i 0.347185 + 0.0992083i
\(271\) −9.12276 25.0646i −0.554168 1.52256i −0.827967 0.560777i \(-0.810502\pi\)
0.273799 0.961787i \(-0.411720\pi\)
\(272\) 10.7315 16.0370i 0.650691 0.972387i
\(273\) −3.92673 6.80130i −0.237657 0.411634i
\(274\) 7.65395 15.7296i 0.462392 0.950262i
\(275\) 13.3339 2.35113i 0.804065 0.141778i
\(276\) 11.3307 3.70463i 0.682029 0.222992i
\(277\) 8.66220 15.0034i 0.520461 0.901465i −0.479256 0.877675i \(-0.659093\pi\)
0.999717 0.0237896i \(-0.00757318\pi\)
\(278\) 10.8856 7.35698i 0.652872 0.441242i
\(279\) −0.208421 + 0.174886i −0.0124778 + 0.0104701i
\(280\) 1.23105 + 1.95805i 0.0735694 + 0.117016i
\(281\) −5.38466 + 14.7942i −0.321222 + 0.882549i 0.669027 + 0.743238i \(0.266711\pi\)
−0.990249 + 0.139311i \(0.955511\pi\)
\(282\) 10.9836 15.1469i 0.654063 0.901985i
\(283\) −3.40324 0.600082i −0.202301 0.0356712i 0.0715791 0.997435i \(-0.477196\pi\)
−0.273880 + 0.961764i \(0.588307\pi\)
\(284\) −4.69334 + 0.668412i −0.278498 + 0.0396630i
\(285\) 3.44811 3.83525i 0.204248 0.227181i
\(286\) 19.9653 1.41456i 1.18057 0.0836448i
\(287\) 1.06177 6.02162i 0.0626745 0.355445i
\(288\) 2.90638 + 1.04272i 0.171260 + 0.0614432i
\(289\) −5.89364 2.14511i −0.346685 0.126183i
\(290\) −2.82160 6.32177i −0.165690 0.371227i
\(291\) −3.52727 4.20364i −0.206772 0.246421i
\(292\) −7.68652 9.80108i −0.449819 0.573565i
\(293\) 12.9386 + 7.47010i 0.755881 + 0.436408i 0.827815 0.561001i \(-0.189584\pi\)
−0.0719340 + 0.997409i \(0.522917\pi\)
\(294\) −3.13503 12.5248i −0.182839 0.730463i
\(295\) −0.140462 0.796601i −0.00817802 0.0463799i
\(296\) 7.28572 + 2.34507i 0.423474 + 0.136304i
\(297\) −14.7044 + 8.48957i −0.853234 + 0.492615i
\(298\) 1.22323 1.18344i 0.0708601 0.0685549i
\(299\) −16.5546 + 6.02539i −0.957378 + 0.348457i
\(300\) 13.5805 + 2.86052i 0.784071 + 0.165152i
\(301\) −5.82044 4.88393i −0.335485 0.281505i
\(302\) −0.344797 + 3.30981i −0.0198409 + 0.190458i
\(303\) −1.20333 −0.0691297
\(304\) 12.4884 12.1671i 0.716260 0.697833i
\(305\) 4.45518 0.255103
\(306\) 0.385850 3.70388i 0.0220576 0.211737i
\(307\) 2.10257 + 1.76426i 0.120000 + 0.100692i 0.700813 0.713345i \(-0.252821\pi\)
−0.580813 + 0.814037i \(0.697265\pi\)
\(308\) −6.47673 1.36422i −0.369046 0.0777339i
\(309\) −22.1106 + 8.04762i −1.25783 + 0.457813i
\(310\) 0.382633 0.370185i 0.0217321 0.0210251i
\(311\) −17.7003 + 10.2193i −1.00369 + 0.579481i −0.909338 0.416058i \(-0.863411\pi\)
−0.0943518 + 0.995539i \(0.530078\pi\)
\(312\) 19.5296 + 6.28602i 1.10564 + 0.355876i
\(313\) −3.53964 20.0743i −0.200072 1.13467i −0.905008 0.425395i \(-0.860135\pi\)
0.704936 0.709271i \(-0.250976\pi\)
\(314\) −1.13359 4.52884i −0.0639723 0.255577i
\(315\) 0.386554 + 0.223177i 0.0217798 + 0.0125746i
\(316\) −17.2475 21.9923i −0.970250 1.23717i
\(317\) −18.5300 22.0832i −1.04075 1.24032i −0.970072 0.242818i \(-0.921928\pi\)
−0.0706777 0.997499i \(-0.522516\pi\)
\(318\) 12.2708 + 27.4926i 0.688112 + 1.54171i
\(319\) 18.6166 + 6.77589i 1.04233 + 0.379377i
\(320\) −5.81719 1.63336i −0.325191 0.0913079i
\(321\) −4.07190 + 23.0929i −0.227272 + 1.28892i
\(322\) 5.81120 0.411730i 0.323846 0.0229448i
\(323\) −17.8408 11.1297i −0.992690 0.619275i
\(324\) −13.9879 + 1.99212i −0.777105 + 0.110673i
\(325\) −20.1983 3.56151i −1.12040 0.197557i
\(326\) 0.149775 0.206547i 0.00829529 0.0114396i
\(327\) 1.88103 5.16807i 0.104021 0.285795i
\(328\) 8.50199 + 13.5229i 0.469444 + 0.746675i
\(329\) 7.00441 5.87740i 0.386166 0.324032i
\(330\) 4.23757 2.86395i 0.233270 0.157655i
\(331\) −1.83809 + 3.18366i −0.101030 + 0.174990i −0.912109 0.409947i \(-0.865547\pi\)
0.811079 + 0.584937i \(0.198881\pi\)
\(332\) −23.5774 + 7.70874i −1.29398 + 0.423072i
\(333\) 1.45464 0.256492i 0.0797137 0.0140557i
\(334\) 8.08508 16.6156i 0.442396 0.909167i
\(335\) −4.97791 8.62200i −0.271972 0.471070i
\(336\) −5.63854 3.77313i −0.307607 0.205841i
\(337\) 10.2016 + 28.0286i 0.555716 + 1.52682i 0.825790 + 0.563978i \(0.190730\pi\)
−0.270074 + 0.962840i \(0.587048\pi\)
\(338\) −11.4753 3.27908i −0.624176 0.178358i
\(339\) 4.90496 5.84551i 0.266401 0.317484i
\(340\) −0.240915 + 7.28299i −0.0130654 + 0.394976i
\(341\) 1.52357i 0.0825059i
\(342\) 1.03446 3.20186i 0.0559373 0.173137i
\(343\) 13.8886i 0.749914i
\(344\) 19.8349 0.747454i 1.06943 0.0403000i
\(345\) −2.89368 + 3.44855i −0.155790 + 0.185664i
\(346\) −0.513088 + 1.79558i −0.0275838 + 0.0965310i
\(347\) 9.95707 + 27.3568i 0.534524 + 1.46859i 0.853634 + 0.520874i \(0.174394\pi\)
−0.319110 + 0.947718i \(0.603384\pi\)
\(348\) 15.1162 + 13.5604i 0.810312 + 0.726914i
\(349\) −9.01897 15.6213i −0.482774 0.836189i 0.517030 0.855967i \(-0.327037\pi\)
−0.999804 + 0.0197778i \(0.993704\pi\)
\(350\) 6.09872 + 2.96761i 0.325990 + 0.158625i
\(351\) 25.3294 4.46626i 1.35198 0.238391i
\(352\) 14.9345 8.71427i 0.796012 0.464472i
\(353\) −13.3944 + 23.1997i −0.712910 + 1.23480i 0.250850 + 0.968026i \(0.419290\pi\)
−0.963760 + 0.266770i \(0.914044\pi\)
\(354\) 1.32864 + 1.96588i 0.0706163 + 0.104486i
\(355\) 1.37141 1.15075i 0.0727870 0.0610755i
\(356\) −5.15879 9.65936i −0.273415 0.511945i
\(357\) −2.79850 + 7.68883i −0.148113 + 0.406936i
\(358\) 9.52421 + 6.90637i 0.503370 + 0.365013i
\(359\) −17.0891 3.01327i −0.901929 0.159034i −0.296593 0.955004i \(-0.595850\pi\)
−0.605337 + 0.795970i \(0.706961\pi\)
\(360\) −1.13989 + 0.245581i −0.0600777 + 0.0129433i
\(361\) −13.6871 13.1782i −0.720373 0.693587i
\(362\) 1.43258 + 20.2196i 0.0752947 + 1.06272i
\(363\) 0.450740 2.55627i 0.0236577 0.134170i
\(364\) 8.51254 + 5.29748i 0.446179 + 0.277663i
\(365\) 4.42002 + 1.60876i 0.231355 + 0.0842062i
\(366\) −11.9339 + 5.32646i −0.623794 + 0.278419i
\(367\) 14.8155 + 17.6564i 0.773361 + 0.921656i 0.998613 0.0526448i \(-0.0167651\pi\)
−0.225252 + 0.974300i \(0.572321\pi\)
\(368\) −10.5318 + 10.9866i −0.549006 + 0.572714i
\(369\) 2.66965 + 1.54133i 0.138977 + 0.0802382i
\(370\) −2.80385 + 0.701818i −0.145765 + 0.0364858i
\(371\) 2.55491 + 14.4896i 0.132644 + 0.752263i
\(372\) −0.582359 + 1.44906i −0.0301939 + 0.0751302i
\(373\) 12.3630 7.13780i 0.640133 0.369581i −0.144533 0.989500i \(-0.546168\pi\)
0.784666 + 0.619919i \(0.212835\pi\)
\(374\) −14.4997 14.9873i −0.749763 0.774975i
\(375\) −10.4841 + 3.81589i −0.541395 + 0.197052i
\(376\) −3.25910 + 23.6633i −0.168075 + 1.22034i
\(377\) −22.9893 19.2904i −1.18401 0.993504i
\(378\) −8.45960 0.881273i −0.435115 0.0453278i
\(379\) −3.94639 −0.202713 −0.101356 0.994850i \(-0.532318\pi\)
−0.101356 + 0.994850i \(0.532318\pi\)
\(380\) −1.57637 + 6.39279i −0.0808662 + 0.327943i
\(381\) 17.2200 0.882209
\(382\) −4.80718 0.500785i −0.245956 0.0256224i
\(383\) −2.54527 2.13574i −0.130057 0.109131i 0.575439 0.817845i \(-0.304831\pi\)
−0.705496 + 0.708714i \(0.749276\pi\)
\(384\) 17.5350 2.57962i 0.894831 0.131641i
\(385\) 2.34877 0.854881i 0.119704 0.0435688i
\(386\) 19.6889 + 20.3510i 1.00214 + 1.03584i
\(387\) 3.31738 1.91529i 0.168632 0.0973596i
\(388\) 6.50037 + 2.61242i 0.330006 + 0.132626i
\(389\) 1.28952 + 7.31325i 0.0653814 + 0.370797i 0.999890 + 0.0148550i \(0.00472867\pi\)
−0.934508 + 0.355942i \(0.884160\pi\)
\(390\) −7.51579 + 1.88124i −0.380577 + 0.0952604i
\(391\) 15.8956 + 9.17733i 0.803875 + 0.464117i
\(392\) 11.0633 + 12.2191i 0.558781 + 0.617156i
\(393\) 11.0330 + 13.1487i 0.556543 + 0.663262i
\(394\) −17.9895 + 8.02928i −0.906299 + 0.404510i
\(395\) 9.91795 + 3.60984i 0.499026 + 0.181631i
\(396\) 1.76309 2.83311i 0.0885984 0.142369i
\(397\) 3.75365 21.2880i 0.188390 1.06841i −0.733132 0.680087i \(-0.761942\pi\)
0.921522 0.388327i \(-0.126947\pi\)
\(398\) −2.43622 34.3850i −0.122117 1.72357i
\(399\) −3.91316 + 6.27274i −0.195903 + 0.314030i
\(400\) −17.0138 + 4.94645i −0.850691 + 0.247322i
\(401\) 20.7532 + 3.65934i 1.03636 + 0.182739i 0.665848 0.746088i \(-0.268070\pi\)
0.370515 + 0.928826i \(0.379181\pi\)
\(402\) 23.6423 + 17.1439i 1.17917 + 0.855060i
\(403\) 0.789354 2.16873i 0.0393205 0.108032i
\(404\) 1.35511 0.723725i 0.0674192 0.0360067i
\(405\) 4.08731 3.42966i 0.203100 0.170421i
\(406\) 5.55707 + 8.22237i 0.275793 + 0.408069i
\(407\) 4.13569 7.16323i 0.204999 0.355068i
\(408\) −8.06197 19.7966i −0.399127 0.980080i
\(409\) −0.265891 + 0.0468838i −0.0131475 + 0.00231825i −0.180218 0.983627i \(-0.557680\pi\)
0.167071 + 0.985945i \(0.446569\pi\)
\(410\) −5.42407 2.63932i −0.267876 0.130347i
\(411\) −9.68879 16.7815i −0.477913 0.827770i
\(412\) 20.0593 22.3607i 0.988253 1.10163i
\(413\) 0.396595 + 1.08964i 0.0195152 + 0.0536174i
\(414\) −0.806971 + 2.82404i −0.0396605 + 0.138794i
\(415\) 6.02128 7.17589i 0.295573 0.352250i
\(416\) −25.7734 + 4.66687i −1.26365 + 0.228812i
\(417\) 14.5540i 0.712712i
\(418\) −10.0115 15.9626i −0.489680 0.780758i
\(419\) 4.30895i 0.210506i 0.994445 + 0.105253i \(0.0335652\pi\)
−0.994445 + 0.105253i \(0.966435\pi\)
\(420\) 2.56067 + 0.0847045i 0.124948 + 0.00413316i
\(421\) −7.34047 + 8.74803i −0.357753 + 0.426353i −0.914661 0.404221i \(-0.867543\pi\)
0.556909 + 0.830574i \(0.311987\pi\)
\(422\) −15.8215 4.52100i −0.770179 0.220079i
\(423\) 1.57664 + 4.33178i 0.0766588 + 0.210618i
\(424\) −30.3535 23.5801i −1.47409 1.14515i
\(425\) 10.6843 + 18.5058i 0.518266 + 0.897663i
\(426\) −2.29774 + 4.72207i −0.111326 + 0.228785i
\(427\) −6.28959 + 1.10903i −0.304375 + 0.0536695i
\(428\) −9.30336 28.4546i −0.449695 1.37540i
\(429\) 11.0858 19.2012i 0.535229 0.927044i
\(430\) −6.21034 + 4.19724i −0.299489 + 0.202409i
\(431\) −18.5249 + 15.5443i −0.892315 + 0.748741i −0.968673 0.248339i \(-0.920115\pi\)
0.0763579 + 0.997080i \(0.475671\pi\)
\(432\) 17.9276 13.1262i 0.862544 0.631536i
\(433\) −0.996702 + 2.73842i −0.0478984 + 0.131600i −0.961335 0.275381i \(-0.911196\pi\)
0.913437 + 0.406981i \(0.133418\pi\)
\(434\) −0.448031 + 0.617857i −0.0215062 + 0.0296581i
\(435\) −7.55220 1.33166i −0.362100 0.0638481i
\(436\) 0.989975 + 6.95123i 0.0474112 + 0.332904i
\(437\) 12.3331 + 11.0881i 0.589971 + 0.530418i
\(438\) −13.7631 + 0.975130i −0.657625 + 0.0465935i
\(439\) 1.63239 9.25775i 0.0779098 0.441848i −0.920753 0.390147i \(-0.872424\pi\)
0.998663 0.0517018i \(-0.0164645\pi\)
\(440\) −3.04958 + 5.77379i −0.145383 + 0.275255i
\(441\) 2.98922 + 1.08799i 0.142344 + 0.0518089i
\(442\) 12.8749 + 28.8460i 0.612395 + 1.37206i
\(443\) −5.87925 7.00661i −0.279331 0.332894i 0.608077 0.793878i \(-0.291941\pi\)
−0.887409 + 0.460984i \(0.847497\pi\)
\(444\) 6.67147 5.23211i 0.316614 0.248305i
\(445\) 3.58130 + 2.06767i 0.169770 + 0.0980168i
\(446\) 6.92836 + 27.6797i 0.328067 + 1.31067i
\(447\) −0.327392 1.85673i −0.0154851 0.0878204i
\(448\) 8.61901 + 0.857831i 0.407210 + 0.0405287i
\(449\) 11.1663 6.44689i 0.526973 0.304248i −0.212810 0.977094i \(-0.568262\pi\)
0.739783 + 0.672846i \(0.234928\pi\)
\(450\) −2.45751 + 2.37756i −0.115848 + 0.112079i
\(451\) 16.2213 5.90406i 0.763830 0.278011i
\(452\) −2.00794 + 9.53281i −0.0944456 + 0.448386i
\(453\) 2.82382 + 2.36947i 0.132675 + 0.111327i
\(454\) −0.587455 + 5.63915i −0.0275706 + 0.264658i
\(455\) −3.78628 −0.177503
\(456\) −3.42046 19.0087i −0.160178 0.890165i
\(457\) 24.3871 1.14078 0.570390 0.821374i \(-0.306792\pi\)
0.570390 + 0.821374i \(0.306792\pi\)
\(458\) 3.15906 30.3247i 0.147613 1.41698i
\(459\) −20.5277 17.2248i −0.958151 0.803985i
\(460\) 1.18458 5.62387i 0.0552314 0.262214i
\(461\) −17.8483 + 6.49625i −0.831278 + 0.302561i −0.722383 0.691493i \(-0.756953\pi\)
−0.108895 + 0.994053i \(0.534731\pi\)
\(462\) −5.26946 + 5.09804i −0.245158 + 0.237182i
\(463\) −34.9271 + 20.1652i −1.62320 + 0.937155i −0.637143 + 0.770746i \(0.719884\pi\)
−0.986057 + 0.166409i \(0.946783\pi\)
\(464\) −25.1785 6.17939i −1.16888 0.286871i
\(465\) −0.102409 0.580793i −0.00474913 0.0269336i
\(466\) 0.315199 + 1.25926i 0.0146013 + 0.0583341i
\(467\) 22.7989 + 13.1630i 1.05501 + 0.609109i 0.924047 0.382278i \(-0.124860\pi\)
0.130961 + 0.991388i \(0.458194\pi\)
\(468\) −3.97750 + 3.11936i −0.183860 + 0.144193i
\(469\) 9.17383 + 10.9329i 0.423608 + 0.504837i
\(470\) −3.67651 8.23719i −0.169585 0.379953i
\(471\) −4.85965 1.76877i −0.223921 0.0815005i
\(472\) −2.67857 1.41475i −0.123291 0.0651193i
\(473\) 3.72485 21.1247i 0.171269 0.971314i
\(474\) −30.8825 + 2.18806i −1.41848 + 0.100501i
\(475\) 5.98017 + 18.3586i 0.274389 + 0.842350i
\(476\) −1.47284 10.3417i −0.0675075 0.474012i
\(477\) −7.30498 1.28807i −0.334472 0.0589765i
\(478\) 11.2471 15.5102i 0.514428 0.709421i
\(479\) 8.12858 22.3331i 0.371404 1.02042i −0.603415 0.797428i \(-0.706194\pi\)
0.974819 0.222997i \(-0.0715841\pi\)
\(480\) −5.10738 + 4.32578i −0.233119 + 0.197444i
\(481\) −9.59822 + 8.05386i −0.437641 + 0.367224i
\(482\) 14.1855 9.58724i 0.646132 0.436687i
\(483\) 3.22670 5.58881i 0.146820 0.254300i
\(484\) 1.02984 + 3.14978i 0.0468108 + 0.143172i
\(485\) −2.60539 + 0.459401i −0.118305 + 0.0208603i
\(486\) 3.46357 7.11798i 0.157111 0.322878i
\(487\) −0.348135 0.602987i −0.0157755 0.0273240i 0.858030 0.513600i \(-0.171688\pi\)
−0.873805 + 0.486276i \(0.838355\pi\)
\(488\) 10.2356 13.1757i 0.463343 0.596436i
\(489\) −0.0966628 0.265579i −0.00437124 0.0120099i
\(490\) −5.98514 1.71026i −0.270381 0.0772615i
\(491\) 20.8082 24.7982i 0.939061 1.11913i −0.0536445 0.998560i \(-0.517084\pi\)
0.992705 0.120569i \(-0.0384718\pi\)
\(492\) 17.6847 + 0.584994i 0.797288 + 0.0263736i
\(493\) 31.2669i 1.40819i
\(494\) 5.98080 + 27.9090i 0.269089 + 1.25569i
\(495\) 1.26013i 0.0566388i
\(496\) −0.215700 1.98208i −0.00968524 0.0889979i
\(497\) −1.64963 + 1.96596i −0.0739962 + 0.0881852i
\(498\) −7.54968 + 26.4206i −0.338309 + 1.18393i
\(499\) −10.2442 28.1458i −0.458595 1.25998i −0.926531 0.376218i \(-0.877224\pi\)
0.467936 0.883762i \(-0.344998\pi\)
\(500\) 9.51142 10.6027i 0.425364 0.474165i
\(501\) −10.2345 17.7267i −0.457245 0.791972i
\(502\) −23.7646 11.5637i −1.06067 0.516115i
\(503\) 14.2238 2.50804i 0.634208 0.111828i 0.152704 0.988272i \(-0.451202\pi\)
0.481504 + 0.876444i \(0.340091\pi\)
\(504\) 1.54811 0.630453i 0.0689584 0.0280826i
\(505\) −0.290073 + 0.502421i −0.0129081 + 0.0223574i
\(506\) 9.20966 + 13.6268i 0.409419 + 0.605786i
\(507\) −10.1274 + 8.49792i −0.449775 + 0.377406i
\(508\) −19.3920 + 10.3567i −0.860380 + 0.459504i
\(509\) 14.4187 39.6151i 0.639098 1.75591i −0.0154441 0.999881i \(-0.504916\pi\)
0.654542 0.756026i \(-0.272862\pi\)
\(510\) 6.53478 + 4.73862i 0.289365 + 0.209830i
\(511\) −6.64043 1.17089i −0.293755 0.0517970i
\(512\) −18.1952 + 13.4511i −0.804124 + 0.594462i
\(513\) −14.9212 19.0690i −0.658786 0.841915i
\(514\) 0.921668 + 13.0085i 0.0406530 + 0.573781i
\(515\) −1.96987 + 11.1717i −0.0868027 + 0.492282i
\(516\) 11.6173 18.6678i 0.511421 0.821805i
\(517\) 24.2572 + 8.82890i 1.06683 + 0.388295i
\(518\) 3.78363 1.68875i 0.166243 0.0741995i
\(519\) 1.32970 + 1.58467i 0.0583672 + 0.0695593i
\(520\) 7.33231 6.63877i 0.321543 0.291129i
\(521\) 8.57677 + 4.95180i 0.375755 + 0.216942i 0.675970 0.736929i \(-0.263725\pi\)
−0.300215 + 0.953872i \(0.597058\pi\)
\(522\) −4.85355 + 1.21487i −0.212434 + 0.0531733i
\(523\) 0.677373 + 3.84158i 0.0296195 + 0.167980i 0.996029 0.0890253i \(-0.0283752\pi\)
−0.966410 + 0.257006i \(0.917264\pi\)
\(524\) −20.3327 8.17146i −0.888237 0.356972i
\(525\) 6.50655 3.75656i 0.283969 0.163950i
\(526\) 7.71414 + 7.97354i 0.336352 + 0.347663i
\(527\) −2.25953 + 0.822403i −0.0984269 + 0.0358244i
\(528\) 1.26580 19.1120i 0.0550868 0.831741i
\(529\) 6.52945 + 5.47886i 0.283889 + 0.238211i
\(530\) 14.4368 + 1.50394i 0.627094 + 0.0653271i
\(531\) −0.584598 −0.0253694
\(532\) 0.634087 9.41743i 0.0274911 0.408297i
\(533\) −26.1491 −1.13264
\(534\) −12.0651 1.25687i −0.522108 0.0543903i
\(535\) 8.66028 + 7.26684i 0.374417 + 0.314173i
\(536\) −36.9352 5.08701i −1.59536 0.219725i
\(537\) 12.2463 4.45727i 0.528465 0.192346i
\(538\) −11.8036 12.2005i −0.508890 0.526002i
\(539\) 15.4268 8.90670i 0.664481 0.383639i
\(540\) −3.12893 + 7.78557i −0.134648 + 0.335037i
\(541\) 4.35056 + 24.6733i 0.187045 + 1.06079i 0.923299 + 0.384081i \(0.125482\pi\)
−0.736254 + 0.676705i \(0.763407\pi\)
\(542\) 36.5926 9.15933i 1.57179 0.393427i
\(543\) 19.4458 + 11.2270i 0.834499 + 0.481798i
\(544\) 20.9852 + 17.4448i 0.899732 + 0.747941i
\(545\) −1.70436 2.03118i −0.0730067 0.0870060i
\(546\) 10.1421 4.52674i 0.434043 0.193727i
\(547\) 15.2865 + 5.56383i 0.653604 + 0.237892i 0.647472 0.762089i \(-0.275826\pi\)
0.00613128 + 0.999981i \(0.498048\pi\)
\(548\) 21.0038 + 13.0710i 0.897237 + 0.558364i
\(549\) 0.559118 3.17092i 0.0238626 0.135331i
\(550\) 1.35326 + 19.1000i 0.0577031 + 0.814428i
\(551\) −5.85333 + 27.6388i −0.249360 + 1.17745i
\(552\) 3.55063 + 16.4806i 0.151125 + 0.701463i
\(553\) −14.9003 2.62732i −0.633623 0.111725i
\(554\) 19.8345 + 14.3827i 0.842686 + 0.611064i
\(555\) −1.09506 + 3.00865i −0.0464827 + 0.127710i
\(556\) 8.75326 + 16.3897i 0.371221 + 0.695077i
\(557\) −16.5072 + 13.8512i −0.699432 + 0.586893i −0.921612 0.388112i \(-0.873127\pi\)
0.222180 + 0.975006i \(0.428683\pi\)
\(558\) −0.215455 0.318792i −0.00912092 0.0134955i
\(559\) −16.2468 + 28.1402i −0.687165 + 1.19021i
\(560\) −2.93458 + 1.44468i −0.124009 + 0.0610489i
\(561\) −22.7490 + 4.01127i −0.960465 + 0.169356i
\(562\) −20.0206 9.74189i −0.844516 0.410937i
\(563\) −5.48942 9.50796i −0.231352 0.400713i 0.726855 0.686791i \(-0.240981\pi\)
−0.958206 + 0.286079i \(0.907648\pi\)
\(564\) 19.6962 + 17.6690i 0.829360 + 0.744001i
\(565\) −1.25826 3.45704i −0.0529354 0.145439i
\(566\) 1.34276 4.69907i 0.0564404 0.197517i
\(567\) −4.91652 + 5.85928i −0.206474 + 0.246066i
\(568\) −0.252466 6.69960i −0.0105932 0.281109i
\(569\) 0.529264i 0.0221879i 0.999938 + 0.0110940i \(0.00353139\pi\)
−0.999938 + 0.0110940i \(0.996469\pi\)
\(570\) 4.88941 + 5.41210i 0.204795 + 0.226688i
\(571\) 42.0314i 1.75896i −0.475935 0.879480i \(-0.657890\pi\)
0.475935 0.879480i \(-0.342110\pi\)
\(572\) −0.935823 + 28.2905i −0.0391287 + 1.18288i
\(573\) −3.44142 + 4.10132i −0.143767 + 0.171335i
\(574\) 8.31444 + 2.37585i 0.347038 + 0.0991662i
\(575\) −5.76426 15.8372i −0.240386 0.660456i
\(576\) −1.89258 + 3.93533i −0.0788573 + 0.163972i
\(577\) 6.38905 + 11.0662i 0.265980 + 0.460691i 0.967820 0.251644i \(-0.0809712\pi\)
−0.701840 + 0.712335i \(0.747638\pi\)
\(578\) 3.88092 7.97568i 0.161425 0.331745i
\(579\) 30.8905 5.44683i 1.28377 0.226363i
\(580\) 9.30566 3.04253i 0.386397 0.126334i
\(581\) −6.71425 + 11.6294i −0.278554 + 0.482470i
\(582\) 6.42970 4.34550i 0.266520 0.180127i
\(583\) −31.8197 + 26.6999i −1.31784 + 1.10580i
\(584\) 14.9125 9.37570i 0.617085 0.387969i
\(585\) 0.652869 1.79374i 0.0269928 0.0741622i
\(586\) −12.4034 + 17.1048i −0.512379 + 0.706595i
\(587\) 20.8963 + 3.68458i 0.862483 + 0.152079i 0.587356 0.809329i \(-0.300169\pi\)
0.275127 + 0.961408i \(0.411280\pi\)
\(588\) 18.0768 2.57445i 0.745476 0.106169i
\(589\) −2.15130 + 0.303978i −0.0886429 + 0.0125252i
\(590\) 1.14108 0.0808470i 0.0469776 0.00332842i
\(591\) −3.78943 + 21.4909i −0.155876 + 0.884018i
\(592\) −4.36617 + 9.90448i −0.179448 + 0.407072i
\(593\) −33.1969 12.0827i −1.36323 0.496176i −0.446180 0.894943i \(-0.647216\pi\)
−0.917052 + 0.398767i \(0.869438\pi\)
\(594\) −9.78678 21.9272i −0.401556 0.899683i
\(595\) 2.53567 + 3.02189i 0.103952 + 0.123886i
\(596\) 1.48539 + 1.89402i 0.0608438 + 0.0775819i
\(597\) −33.0692 19.0925i −1.35343 0.781404i
\(598\) −6.04954 24.1687i −0.247384 0.988330i
\(599\) 5.24954 + 29.7716i 0.214490 + 1.21644i 0.881789 + 0.471645i \(0.156340\pi\)
−0.667298 + 0.744791i \(0.732549\pi\)
\(600\) −6.01359 + 18.6832i −0.245504 + 0.762738i
\(601\) −30.8900 + 17.8343i −1.26003 + 0.727478i −0.973080 0.230468i \(-0.925974\pi\)
−0.286949 + 0.957946i \(0.592641\pi\)
\(602\) 7.72262 7.47139i 0.314751 0.304511i
\(603\) −6.76132 + 2.46092i −0.275342 + 0.100216i
\(604\) −4.60506 0.969985i −0.187377 0.0394681i
\(605\) −0.958651 0.804404i −0.0389747 0.0327037i
\(606\) 0.176327 1.69261i 0.00716279 0.0687577i
\(607\) 3.61581 0.146761 0.0733806 0.997304i \(-0.476621\pi\)
0.0733806 + 0.997304i \(0.476621\pi\)
\(608\) 15.2844 + 19.3491i 0.619863 + 0.784710i
\(609\) 10.9933 0.445471
\(610\) −0.652826 + 6.26666i −0.0264321 + 0.253730i
\(611\) −29.9548 25.1351i −1.21184 1.01686i
\(612\) 5.15335 + 1.08547i 0.208312 + 0.0438777i
\(613\) −1.15127 + 0.419027i −0.0464992 + 0.0169243i −0.365165 0.930943i \(-0.618987\pi\)
0.318666 + 0.947867i \(0.396765\pi\)
\(614\) −2.78971 + 2.69895i −0.112583 + 0.108921i
\(615\) −5.78679 + 3.34100i −0.233346 + 0.134722i
\(616\) 2.86797 8.91028i 0.115554 0.359005i
\(617\) −3.68259 20.8850i −0.148256 0.840799i −0.964695 0.263368i \(-0.915167\pi\)
0.816440 0.577431i \(-0.195945\pi\)
\(618\) −8.07988 32.2801i −0.325020 1.29850i
\(619\) −9.34154 5.39334i −0.375468 0.216777i 0.300376 0.953821i \(-0.402888\pi\)
−0.675845 + 0.737044i \(0.736221\pi\)
\(620\) 0.464635 + 0.592456i 0.0186602 + 0.0237936i
\(621\) 13.5853 + 16.1903i 0.545159 + 0.649695i
\(622\) −11.7808 26.3947i −0.472366 1.05833i
\(623\) −5.57061 2.02754i −0.223182 0.0812315i
\(624\) −11.7036 + 26.5492i −0.468520 + 1.06282i
\(625\) 2.91189 16.5142i 0.116476 0.660567i
\(626\) 28.7552 2.03734i 1.14929 0.0814285i
\(627\) −20.8602 0.712919i −0.833077 0.0284712i
\(628\) 6.53639 0.930894i 0.260830 0.0371467i
\(629\) 12.8559 + 2.26683i 0.512596 + 0.0903846i
\(630\) −0.370564 + 0.511025i −0.0147636 + 0.0203597i
\(631\) 7.69640 21.1457i 0.306389 0.841796i −0.686965 0.726691i \(-0.741057\pi\)
0.993353 0.115105i \(-0.0367205\pi\)
\(632\) 33.4618 21.0378i 1.33104 0.836840i
\(633\) −13.9631 + 11.7164i −0.554983 + 0.465686i
\(634\) 33.7775 22.8285i 1.34148 0.906634i
\(635\) 4.15102 7.18978i 0.164728 0.285318i
\(636\) −40.4692 + 13.2316i −1.60471 + 0.524667i
\(637\) −26.5740 + 4.68571i −1.05290 + 0.185654i
\(638\) −12.2589 + 25.1932i −0.485334 + 0.997410i
\(639\) −0.646923 1.12050i −0.0255919 0.0443264i
\(640\) 3.14990 7.94313i 0.124511 0.313980i
\(641\) −13.3995 36.8148i −0.529248 1.45410i −0.859958 0.510364i \(-0.829511\pi\)
0.330710 0.943732i \(-0.392712\pi\)
\(642\) −31.8859 9.11140i −1.25844 0.359598i
\(643\) −12.1261 + 14.4513i −0.478207 + 0.569905i −0.950177 0.311709i \(-0.899098\pi\)
0.471970 + 0.881614i \(0.343543\pi\)
\(644\) −0.272386 + 8.23438i −0.0107335 + 0.324480i
\(645\) 8.30322i 0.326939i
\(646\) 18.2694 23.4641i 0.718798 0.923181i
\(647\) 20.3440i 0.799806i −0.916557 0.399903i \(-0.869044\pi\)
0.916557 0.399903i \(-0.130956\pi\)
\(648\) −0.752442 19.9673i −0.0295587 0.784389i
\(649\) −2.10426 + 2.50776i −0.0825995 + 0.0984383i
\(650\) 7.96933 27.8892i 0.312583 1.09390i
\(651\) 0.289153 + 0.794441i 0.0113328 + 0.0311366i
\(652\) 0.268583 + 0.240940i 0.0105185 + 0.00943594i
\(653\) 11.1928 + 19.3865i 0.438008 + 0.758651i 0.997536 0.0701600i \(-0.0223510\pi\)
−0.559528 + 0.828811i \(0.689018\pi\)
\(654\) 6.99379 + 3.40314i 0.273479 + 0.133073i
\(655\) 8.14948 1.43697i 0.318426 0.0561472i
\(656\) −20.2671 + 9.97739i −0.791297 + 0.389552i
\(657\) 1.69972 2.94400i 0.0663124 0.114856i
\(658\) 7.24079 + 10.7136i 0.282276 + 0.417662i
\(659\) 10.9733 9.20773i 0.427461 0.358682i −0.403532 0.914966i \(-0.632218\pi\)
0.830993 + 0.556283i \(0.187773\pi\)
\(660\) 3.40750 + 6.38023i 0.132637 + 0.248350i
\(661\) 5.54631 15.2384i 0.215726 0.592703i −0.783876 0.620918i \(-0.786760\pi\)
0.999602 + 0.0282147i \(0.00898221\pi\)
\(662\) −4.20881 3.05197i −0.163580 0.118618i
\(663\) 34.4605 + 6.07631i 1.33833 + 0.235984i
\(664\) −7.38829 34.2936i −0.286721 1.33085i
\(665\) 1.67572 + 3.14593i 0.0649818 + 0.121994i
\(666\) 0.147631 + 2.08368i 0.00572059 + 0.0807410i
\(667\) 4.28223 24.2858i 0.165809 0.940348i
\(668\) 22.1869 + 13.8072i 0.858436 + 0.534217i
\(669\) 29.7015 + 10.8105i 1.14833 + 0.417956i
\(670\) 12.8571 5.73854i 0.496715 0.221699i
\(671\) −11.5898 13.8122i −0.447419 0.533213i
\(672\) 6.13352 7.37829i 0.236606 0.284624i
\(673\) 24.7321 + 14.2791i 0.953352 + 0.550418i 0.894121 0.447826i \(-0.147802\pi\)
0.0592314 + 0.998244i \(0.481135\pi\)
\(674\) −40.9200 + 10.2425i −1.57618 + 0.394526i
\(675\) 4.27270 + 24.2317i 0.164456 + 0.932678i
\(676\) 6.29386 15.6607i 0.242072 0.602336i
\(677\) 8.84921 5.10909i 0.340103 0.196358i −0.320215 0.947345i \(-0.603755\pi\)
0.660318 + 0.750987i \(0.270422\pi\)
\(678\) 7.50357 + 7.75589i 0.288173 + 0.297863i
\(679\) 3.56380 1.29712i 0.136766 0.0497788i
\(680\) −10.2090 1.40606i −0.391496 0.0539200i
\(681\) 4.81113 + 4.03702i 0.184363 + 0.154699i
\(682\) −2.14305 0.223251i −0.0820618 0.00854874i
\(683\) 40.4675 1.54844 0.774222 0.632914i \(-0.218141\pi\)
0.774222 + 0.632914i \(0.218141\pi\)
\(684\) 4.35216 + 1.92425i 0.166409 + 0.0735755i
\(685\) −9.34223 −0.356948
\(686\) 19.5357 + 2.03512i 0.745878 + 0.0777014i
\(687\) −25.8720 21.7092i −0.987079 0.828258i
\(688\) −1.85508 + 28.0094i −0.0707243 + 1.06785i
\(689\) 59.1271 21.5205i 2.25256 0.819865i
\(690\) −4.42672 4.57558i −0.168523 0.174189i
\(691\) −12.7642 + 7.36940i −0.485572 + 0.280345i −0.722736 0.691124i \(-0.757116\pi\)
0.237163 + 0.971470i \(0.423782\pi\)
\(692\) −2.45048 0.984820i −0.0931534 0.0374372i
\(693\) −0.313684 1.77899i −0.0119159 0.0675783i
\(694\) −39.9392 + 9.99699i −1.51607 + 0.379480i
\(695\) −6.07664 3.50835i −0.230500 0.133079i
\(696\) −21.2891 + 19.2754i −0.806961 + 0.730633i
\(697\) 17.5121 + 20.8701i 0.663317 + 0.790510i
\(698\) 23.2945 10.3971i 0.881711 0.393535i
\(699\) 1.35124 + 0.491812i 0.0511087 + 0.0186020i
\(700\) −5.06790 + 8.14363i −0.191548 + 0.307800i
\(701\) −3.61494 + 20.5013i −0.136534 + 0.774325i 0.837244 + 0.546829i \(0.184165\pi\)
−0.973779 + 0.227496i \(0.926946\pi\)
\(702\) 2.57068 + 36.2828i 0.0970241 + 1.36941i
\(703\) 10.9397 + 4.41047i 0.412600 + 0.166344i
\(704\) 10.0691 + 22.2838i 0.379494 + 0.839853i
\(705\) −9.84043 1.73513i −0.370612 0.0653489i
\(706\) −30.6700 22.2400i −1.15428 0.837014i
\(707\) 0.284443 0.781500i 0.0106976 0.0293913i
\(708\) −2.95990 + 1.58080i −0.111240 + 0.0594101i
\(709\) 21.7284 18.2323i 0.816027 0.684728i −0.136011 0.990707i \(-0.543428\pi\)
0.952038 + 0.305979i \(0.0989838\pi\)
\(710\) 1.41769 + 2.09765i 0.0532051 + 0.0787235i
\(711\) 3.81395 6.60595i 0.143034 0.247742i
\(712\) 14.3428 5.84095i 0.537519 0.218899i
\(713\) 1.86767 0.329320i 0.0699446 0.0123331i
\(714\) −10.4051 5.06304i −0.389399 0.189480i
\(715\) −5.34465 9.25721i −0.199879 0.346200i
\(716\) −11.1101 + 12.3848i −0.415205 + 0.462841i
\(717\) −7.25868 19.9431i −0.271081 0.744788i
\(718\) 6.74257 23.5960i 0.251631 0.880596i
\(719\) −31.1096 + 37.0750i −1.16019 + 1.38266i −0.250119 + 0.968215i \(0.580470\pi\)
−0.910073 + 0.414448i \(0.863975\pi\)
\(720\) −0.178404 1.63936i −0.00664874 0.0610955i
\(721\) 16.2619i 0.605626i
\(722\) 20.5420 17.3212i 0.764495 0.644630i
\(723\) 18.9660i 0.705354i
\(724\) −28.6508 0.947743i −1.06480 0.0352226i
\(725\) 18.4543 21.9930i 0.685377 0.816801i
\(726\) 3.52961 + 1.00859i 0.130996 + 0.0374322i
\(727\) −11.1784 30.7123i −0.414582 1.13906i −0.954727 0.297483i \(-0.903853\pi\)
0.540145 0.841572i \(-0.318369\pi\)
\(728\) −8.69880 + 11.1975i −0.322399 + 0.415007i
\(729\) −14.9811 25.9481i −0.554857 0.961041i
\(730\) −2.91055 + 5.98148i −0.107724 + 0.221384i
\(731\) 33.3397 5.87868i 1.23311 0.217431i
\(732\) −5.74351 17.5667i −0.212286 0.649284i
\(733\) −17.3930 + 30.1256i −0.642427 + 1.11272i 0.342463 + 0.939531i \(0.388739\pi\)
−0.984889 + 0.173184i \(0.944594\pi\)
\(734\) −27.0064 + 18.2522i −0.996826 + 0.673702i
\(735\) −5.28212 + 4.43223i −0.194834 + 0.163485i
\(736\) −13.9105 16.4239i −0.512747 0.605392i
\(737\) −13.7807 + 37.8622i −0.507619 + 1.39467i
\(738\) −2.55922 + 3.52929i −0.0942062 + 0.129915i
\(739\) −11.2136 1.97726i −0.412499 0.0727346i −0.0364520 0.999335i \(-0.511606\pi\)
−0.376047 + 0.926601i \(0.622717\pi\)
\(740\) −0.576325 4.04674i −0.0211861 0.148761i
\(741\) 29.3242 + 11.8224i 1.07725 + 0.434307i
\(742\) −20.7555 + 1.47055i −0.761958 + 0.0539856i
\(743\) −1.31475 + 7.45634i −0.0482337 + 0.273547i −0.999381 0.0351919i \(-0.988796\pi\)
0.951147 + 0.308739i \(0.0999069\pi\)
\(744\) −1.95291 1.03148i −0.0715973 0.0378159i
\(745\) −0.854150 0.310885i −0.0312936 0.0113900i
\(746\) 8.22846 + 18.4358i 0.301265 + 0.674981i
\(747\) −4.35169 5.18614i −0.159220 0.189751i
\(748\) 23.2058 18.1992i 0.848490 0.665430i
\(749\) −14.0351 8.10316i −0.512831 0.296083i
\(750\) −3.83119 15.3061i −0.139895 0.558899i
\(751\) 3.02587 + 17.1606i 0.110416 + 0.626198i 0.988918 + 0.148461i \(0.0474319\pi\)
−0.878503 + 0.477738i \(0.841457\pi\)
\(752\) −32.8072 8.05167i −1.19636 0.293614i
\(753\) −25.3538 + 14.6380i −0.923943 + 0.533439i
\(754\) 30.5025 29.5102i 1.11084 1.07470i
\(755\) 1.67001 0.607834i 0.0607779 0.0221214i
\(756\) 2.47920 11.7701i 0.0901677 0.428076i
\(757\) 25.6276 + 21.5041i 0.931452 + 0.781581i 0.976077 0.217423i \(-0.0697651\pi\)
−0.0446258 + 0.999004i \(0.514210\pi\)
\(758\) 0.578272 5.55100i 0.0210038 0.201621i
\(759\) 18.2191 0.661310
\(760\) −8.76113 3.15408i −0.317799 0.114410i
\(761\) 26.3077 0.953654 0.476827 0.878997i \(-0.341787\pi\)
0.476827 + 0.878997i \(0.341787\pi\)
\(762\) −2.52328 + 24.2217i −0.0914089 + 0.877461i
\(763\) 2.91175 + 2.44325i 0.105412 + 0.0884515i
\(764\) 1.40881 6.68840i 0.0509689 0.241978i
\(765\) −1.86885 + 0.680204i −0.0675682 + 0.0245928i
\(766\) 3.37709 3.26723i 0.122019 0.118050i
\(767\) 4.29458 2.47948i 0.155068 0.0895288i
\(768\) 1.05906 + 25.0428i 0.0382155 + 0.903654i
\(769\) −4.38426 24.8644i −0.158100 0.896632i −0.955896 0.293704i \(-0.905112\pi\)
0.797796 0.602928i \(-0.205999\pi\)
\(770\) 0.858308 + 3.42905i 0.0309313 + 0.123574i
\(771\) 12.5107 + 7.22306i 0.450562 + 0.260132i
\(772\) −31.5108 + 24.7124i −1.13410 + 0.889420i
\(773\)