Properties

Label 91.2.bc.a.6.8
Level $91$
Weight $2$
Character 91.6
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 6.8
Character \(\chi\) \(=\) 91.6
Dual form 91.2.bc.a.76.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.612835 + 2.28713i) q^{2} +(1.04118 + 0.601128i) q^{3} +(-3.12335 + 1.80327i) q^{4} +(-2.25527 - 2.25527i) q^{5} +(-0.736784 + 2.74971i) q^{6} +(2.48551 + 0.906771i) q^{7} +(-2.68981 - 2.68981i) q^{8} +(-0.777291 - 1.34631i) q^{9} +O(q^{10})\) \(q+(0.612835 + 2.28713i) q^{2} +(1.04118 + 0.601128i) q^{3} +(-3.12335 + 1.80327i) q^{4} +(-2.25527 - 2.25527i) q^{5} +(-0.736784 + 2.74971i) q^{6} +(2.48551 + 0.906771i) q^{7} +(-2.68981 - 2.68981i) q^{8} +(-0.777291 - 1.34631i) q^{9} +(3.77599 - 6.54020i) q^{10} +(4.11159 - 1.10170i) q^{11} -4.33597 q^{12} +(-3.48609 + 0.920440i) q^{13} +(-0.550697 + 6.24039i) q^{14} +(-0.992444 - 3.70385i) q^{15} +(0.897005 - 1.55366i) q^{16} +(-0.721872 - 1.25032i) q^{17} +(2.60283 - 2.60283i) q^{18} +(-0.649502 + 2.42397i) q^{19} +(11.1108 + 2.97714i) q^{20} +(2.04279 + 2.43823i) q^{21} +(5.03945 + 8.72858i) q^{22} +(-4.52952 - 2.61512i) q^{23} +(-1.18367 - 4.41750i) q^{24} +5.17247i q^{25} +(-4.24156 - 7.40905i) q^{26} -5.47577i q^{27} +(-9.39827 + 1.64987i) q^{28} +(1.34350 - 2.32701i) q^{29} +(7.86299 - 4.53970i) q^{30} +(3.76457 + 3.76457i) q^{31} +(-3.24556 - 0.869646i) q^{32} +(4.94318 + 1.32452i) q^{33} +(2.41725 - 2.41725i) q^{34} +(-3.56048 - 7.65051i) q^{35} +(4.85550 + 2.80333i) q^{36} +(-0.599466 + 0.160626i) q^{37} -5.94198 q^{38} +(-4.18296 - 1.13724i) q^{39} +12.1325i q^{40} +(5.04879 - 1.35282i) q^{41} +(-4.32465 + 6.16635i) q^{42} +(-5.46143 + 3.15316i) q^{43} +(-10.8553 + 10.8553i) q^{44} +(-1.28329 + 4.78929i) q^{45} +(3.20527 - 11.9622i) q^{46} +(-4.68009 + 4.68009i) q^{47} +(1.86789 - 1.07843i) q^{48} +(5.35553 + 4.50758i) q^{49} +(-11.8301 + 3.16987i) q^{50} -1.73575i q^{51} +(9.22846 - 9.16119i) q^{52} -7.58528 q^{53} +(12.5238 - 3.35574i) q^{54} +(-11.7574 - 6.78811i) q^{55} +(-4.24651 - 9.12459i) q^{56} +(-2.13337 + 2.13337i) q^{57} +(6.14553 + 1.64669i) q^{58} +(1.96185 + 0.525675i) q^{59} +(9.77878 + 9.77878i) q^{60} +(-4.53851 + 2.62031i) q^{61} +(-6.30300 + 10.9171i) q^{62} +(-0.711172 - 4.05109i) q^{63} -11.5440i q^{64} +(9.93790 + 5.78622i) q^{65} +12.1174i q^{66} +(2.26854 + 8.46631i) q^{67} +(4.50931 + 2.60345i) q^{68} +(-3.14404 - 5.44564i) q^{69} +(15.3157 - 12.8318i) q^{70} +(8.31929 + 2.22915i) q^{71} +(-1.53055 + 5.71208i) q^{72} +(11.1801 - 11.1801i) q^{73} +(-0.734747 - 1.27262i) q^{74} +(-3.10932 + 5.38549i) q^{75} +(-2.34245 - 8.74214i) q^{76} +(11.2184 + 0.989991i) q^{77} +(0.0375447 - 10.2639i) q^{78} +2.01287 q^{79} +(-5.52690 + 1.48093i) q^{80} +(0.959764 - 1.66236i) q^{81} +(6.18815 + 10.7182i) q^{82} +(-5.11623 - 5.11623i) q^{83} +(-10.7771 - 3.93174i) q^{84} +(-1.19179 + 4.44782i) q^{85} +(-10.5586 - 10.5586i) q^{86} +(2.79766 - 1.61523i) q^{87} +(-14.0227 - 8.09604i) q^{88} +(1.81184 + 6.76189i) q^{89} -11.7402 q^{90} +(-9.49933 - 0.873319i) q^{91} +18.8630 q^{92} +(1.65662 + 6.18260i) q^{93} +(-13.5721 - 7.83586i) q^{94} +(6.93151 - 4.00191i) q^{95} +(-2.85646 - 2.85646i) q^{96} +(-1.62618 + 6.06897i) q^{97} +(-7.02737 + 15.0112i) q^{98} +(-4.67912 - 4.67912i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.612835 + 2.28713i 0.433340 + 1.61725i 0.745009 + 0.667055i \(0.232445\pi\)
−0.311669 + 0.950191i \(0.600888\pi\)
\(3\) 1.04118 + 0.601128i 0.601128 + 0.347061i 0.769485 0.638665i \(-0.220513\pi\)
−0.168357 + 0.985726i \(0.553846\pi\)
\(4\) −3.12335 + 1.80327i −1.56167 + 0.901633i
\(5\) −2.25527 2.25527i −1.00859 1.00859i −0.999963 0.00862388i \(-0.997255\pi\)
−0.00862388 0.999963i \(-0.502745\pi\)
\(6\) −0.736784 + 2.74971i −0.300791 + 1.12257i
\(7\) 2.48551 + 0.906771i 0.939435 + 0.342727i
\(8\) −2.68981 2.68981i −0.950991 0.950991i
\(9\) −0.777291 1.34631i −0.259097 0.448769i
\(10\) 3.77599 6.54020i 1.19407 2.06819i
\(11\) 4.11159 1.10170i 1.23969 0.332174i 0.421345 0.906900i \(-0.361558\pi\)
0.818346 + 0.574726i \(0.194891\pi\)
\(12\) −4.33597 −1.25169
\(13\) −3.48609 + 0.920440i −0.966866 + 0.255284i
\(14\) −0.550697 + 6.24039i −0.147180 + 1.66781i
\(15\) −0.992444 3.70385i −0.256248 0.956331i
\(16\) 0.897005 1.55366i 0.224251 0.388414i
\(17\) −0.721872 1.25032i −0.175080 0.303247i 0.765109 0.643901i \(-0.222685\pi\)
−0.940189 + 0.340654i \(0.889352\pi\)
\(18\) 2.60283 2.60283i 0.613493 0.613493i
\(19\) −0.649502 + 2.42397i −0.149006 + 0.556098i 0.850538 + 0.525913i \(0.176276\pi\)
−0.999544 + 0.0301847i \(0.990390\pi\)
\(20\) 11.1108 + 2.97714i 2.48446 + 0.665709i
\(21\) 2.04279 + 2.43823i 0.445773 + 0.532064i
\(22\) 5.03945 + 8.72858i 1.07441 + 1.86094i
\(23\) −4.52952 2.61512i −0.944470 0.545290i −0.0531111 0.998589i \(-0.516914\pi\)
−0.891359 + 0.453299i \(0.850247\pi\)
\(24\) −1.18367 4.41750i −0.241615 0.901719i
\(25\) 5.17247i 1.03449i
\(26\) −4.24156 7.40905i −0.831838 1.45304i
\(27\) 5.47577i 1.05381i
\(28\) −9.39827 + 1.64987i −1.77611 + 0.311797i
\(29\) 1.34350 2.32701i 0.249482 0.432116i −0.713900 0.700248i \(-0.753073\pi\)
0.963382 + 0.268132i \(0.0864063\pi\)
\(30\) 7.86299 4.53970i 1.43558 0.828832i
\(31\) 3.76457 + 3.76457i 0.676137 + 0.676137i 0.959124 0.282987i \(-0.0913253\pi\)
−0.282987 + 0.959124i \(0.591325\pi\)
\(32\) −3.24556 0.869646i −0.573740 0.153733i
\(33\) 4.94318 + 1.32452i 0.860497 + 0.230570i
\(34\) 2.41725 2.41725i 0.414555 0.414555i
\(35\) −3.56048 7.65051i −0.601831 1.29317i
\(36\) 4.85550 + 2.80333i 0.809250 + 0.467221i
\(37\) −0.599466 + 0.160626i −0.0985516 + 0.0264068i −0.307758 0.951465i \(-0.599579\pi\)
0.209206 + 0.977872i \(0.432912\pi\)
\(38\) −5.94198 −0.963916
\(39\) −4.18296 1.13724i −0.669809 0.182103i
\(40\) 12.1325i 1.91831i
\(41\) 5.04879 1.35282i 0.788488 0.211275i 0.157965 0.987445i \(-0.449507\pi\)
0.630524 + 0.776170i \(0.282840\pi\)
\(42\) −4.32465 + 6.16635i −0.667308 + 0.951489i
\(43\) −5.46143 + 3.15316i −0.832860 + 0.480852i −0.854831 0.518907i \(-0.826339\pi\)
0.0219711 + 0.999759i \(0.493006\pi\)
\(44\) −10.8553 + 10.8553i −1.63649 + 1.63649i
\(45\) −1.28329 + 4.78929i −0.191301 + 0.713944i
\(46\) 3.20527 11.9622i 0.472591 1.76374i
\(47\) −4.68009 + 4.68009i −0.682662 + 0.682662i −0.960599 0.277937i \(-0.910349\pi\)
0.277937 + 0.960599i \(0.410349\pi\)
\(48\) 1.86789 1.07843i 0.269607 0.155658i
\(49\) 5.35553 + 4.50758i 0.765076 + 0.643940i
\(50\) −11.8301 + 3.16987i −1.67303 + 0.448287i
\(51\) 1.73575i 0.243053i
\(52\) 9.22846 9.16119i 1.27976 1.27043i
\(53\) −7.58528 −1.04192 −0.520959 0.853582i \(-0.674426\pi\)
−0.520959 + 0.853582i \(0.674426\pi\)
\(54\) 12.5238 3.35574i 1.70427 0.456659i
\(55\) −11.7574 6.78811i −1.58536 0.915309i
\(56\) −4.24651 9.12459i −0.567464 1.21933i
\(57\) −2.13337 + 2.13337i −0.282571 + 0.282571i
\(58\) 6.14553 + 1.64669i 0.806947 + 0.216221i
\(59\) 1.96185 + 0.525675i 0.255410 + 0.0684370i 0.384252 0.923228i \(-0.374459\pi\)
−0.128842 + 0.991665i \(0.541126\pi\)
\(60\) 9.77878 + 9.77878i 1.26244 + 1.26244i
\(61\) −4.53851 + 2.62031i −0.581097 + 0.335496i −0.761569 0.648084i \(-0.775571\pi\)
0.180472 + 0.983580i \(0.442237\pi\)
\(62\) −6.30300 + 10.9171i −0.800482 + 1.38648i
\(63\) −0.711172 4.05109i −0.0895993 0.510389i
\(64\) 11.5440i 1.44300i
\(65\) 9.93790 + 5.78622i 1.23264 + 0.717692i
\(66\) 12.1174i 1.49155i
\(67\) 2.26854 + 8.46631i 0.277147 + 1.03432i 0.954389 + 0.298565i \(0.0965080\pi\)
−0.677243 + 0.735760i \(0.736825\pi\)
\(68\) 4.50931 + 2.60345i 0.546835 + 0.315715i
\(69\) −3.14404 5.44564i −0.378498 0.655578i
\(70\) 15.3157 12.8318i 1.83058 1.53369i
\(71\) 8.31929 + 2.22915i 0.987318 + 0.264551i 0.716124 0.697974i \(-0.245915\pi\)
0.271194 + 0.962525i \(0.412581\pi\)
\(72\) −1.53055 + 5.71208i −0.180377 + 0.673175i
\(73\) 11.1801 11.1801i 1.30854 1.30854i 0.386065 0.922472i \(-0.373834\pi\)
0.922472 0.386065i \(-0.126166\pi\)
\(74\) −0.734747 1.27262i −0.0854126 0.147939i
\(75\) −3.10932 + 5.38549i −0.359033 + 0.621863i
\(76\) −2.34245 8.74214i −0.268697 1.00279i
\(77\) 11.2184 + 0.989991i 1.27845 + 0.112820i
\(78\) 0.0375447 10.2639i 0.00425110 1.16216i
\(79\) 2.01287 0.226465 0.113233 0.993568i \(-0.463879\pi\)
0.113233 + 0.993568i \(0.463879\pi\)
\(80\) −5.52690 + 1.48093i −0.617926 + 0.165573i
\(81\) 0.959764 1.66236i 0.106640 0.184707i
\(82\) 6.18815 + 10.7182i 0.683367 + 1.18363i
\(83\) −5.11623 5.11623i −0.561579 0.561579i 0.368177 0.929756i \(-0.379982\pi\)
−0.929756 + 0.368177i \(0.879982\pi\)
\(84\) −10.7771 3.93174i −1.17588 0.428988i
\(85\) −1.19179 + 4.44782i −0.129268 + 0.482434i
\(86\) −10.5586 10.5586i −1.13857 1.13857i
\(87\) 2.79766 1.61523i 0.299941 0.173171i
\(88\) −14.0227 8.09604i −1.49483 0.863040i
\(89\) 1.81184 + 6.76189i 0.192055 + 0.716759i 0.993010 + 0.118034i \(0.0376591\pi\)
−0.800955 + 0.598725i \(0.795674\pi\)
\(90\) −11.7402 −1.23752
\(91\) −9.49933 0.873319i −0.995801 0.0915488i
\(92\) 18.8630 1.96661
\(93\) 1.65662 + 6.18260i 0.171784 + 0.641105i
\(94\) −13.5721 7.83586i −1.39986 0.808207i
\(95\) 6.93151 4.00191i 0.711158 0.410587i
\(96\) −2.85646 2.85646i −0.291536 0.291536i
\(97\) −1.62618 + 6.06897i −0.165113 + 0.616211i 0.832913 + 0.553405i \(0.186672\pi\)
−0.998026 + 0.0628062i \(0.979995\pi\)
\(98\) −7.02737 + 15.0112i −0.709872 + 1.51636i
\(99\) −4.67912 4.67912i −0.470270 0.470270i
\(100\) −9.32734 16.1554i −0.932734 1.61554i
\(101\) −6.66959 + 11.5521i −0.663649 + 1.14947i 0.316001 + 0.948759i \(0.397660\pi\)
−0.979650 + 0.200715i \(0.935674\pi\)
\(102\) 3.96988 1.06373i 0.393077 0.105325i
\(103\) 6.17453 0.608395 0.304197 0.952609i \(-0.401612\pi\)
0.304197 + 0.952609i \(0.401612\pi\)
\(104\) 11.8527 + 6.90110i 1.16225 + 0.676708i
\(105\) 0.891816 10.1059i 0.0870324 0.986234i
\(106\) −4.64852 17.3485i −0.451504 1.68504i
\(107\) 4.27353 7.40196i 0.413137 0.715575i −0.582094 0.813122i \(-0.697766\pi\)
0.995231 + 0.0975469i \(0.0310996\pi\)
\(108\) 9.87427 + 17.1027i 0.950152 + 1.64571i
\(109\) 3.30124 3.30124i 0.316201 0.316201i −0.531105 0.847306i \(-0.678223\pi\)
0.847306 + 0.531105i \(0.178223\pi\)
\(110\) 8.31998 31.0506i 0.793279 2.96056i
\(111\) −0.720711 0.193114i −0.0684069 0.0183296i
\(112\) 3.63833 3.04825i 0.343790 0.288033i
\(113\) 9.80118 + 16.9761i 0.922018 + 1.59698i 0.796289 + 0.604917i \(0.206794\pi\)
0.125729 + 0.992065i \(0.459873\pi\)
\(114\) −6.18669 3.57189i −0.579437 0.334538i
\(115\) 4.31748 + 16.1131i 0.402608 + 1.50255i
\(116\) 9.69077i 0.899765i
\(117\) 3.94890 + 3.97789i 0.365076 + 0.367756i
\(118\) 4.80915i 0.442718i
\(119\) −0.660467 3.76225i −0.0605449 0.344885i
\(120\) −7.29317 + 12.6321i −0.665773 + 1.15315i
\(121\) 6.16515 3.55945i 0.560468 0.323586i
\(122\) −8.77435 8.77435i −0.794392 0.794392i
\(123\) 6.06993 + 1.62643i 0.547308 + 0.146651i
\(124\) −18.5466 4.96954i −1.66553 0.446278i
\(125\) 0.388969 0.388969i 0.0347904 0.0347904i
\(126\) 8.82954 4.10919i 0.786598 0.366076i
\(127\) 1.02476 + 0.591646i 0.0909329 + 0.0525001i 0.544777 0.838581i \(-0.316614\pi\)
−0.453844 + 0.891081i \(0.649948\pi\)
\(128\) 19.9115 5.33527i 1.75994 0.471576i
\(129\) −7.58180 −0.667540
\(130\) −7.14355 + 26.2753i −0.626531 + 2.30449i
\(131\) 9.67103i 0.844962i −0.906372 0.422481i \(-0.861159\pi\)
0.906372 0.422481i \(-0.138841\pi\)
\(132\) −17.8277 + 4.77693i −1.55171 + 0.415778i
\(133\) −3.81233 + 5.43586i −0.330571 + 0.471349i
\(134\) −17.9733 + 10.3769i −1.55266 + 0.896428i
\(135\) −12.3493 + 12.3493i −1.06286 + 1.06286i
\(136\) −1.42142 + 5.30482i −0.121886 + 0.454884i
\(137\) 1.70702 6.37069i 0.145841 0.544285i −0.853876 0.520477i \(-0.825754\pi\)
0.999717 0.0238082i \(-0.00757909\pi\)
\(138\) 10.5281 10.5281i 0.896212 0.896212i
\(139\) 19.6752 11.3595i 1.66883 0.963500i 0.700562 0.713591i \(-0.252933\pi\)
0.968269 0.249909i \(-0.0804008\pi\)
\(140\) 24.9165 + 17.4747i 2.10583 + 1.47688i
\(141\) −7.68617 + 2.05950i −0.647292 + 0.173441i
\(142\) 20.3934i 1.71138i
\(143\) −13.3193 + 7.62508i −1.11382 + 0.637641i
\(144\) −2.78893 −0.232411
\(145\) −8.27800 + 2.21808i −0.687450 + 0.184202i
\(146\) 32.4220 + 18.7189i 2.68327 + 1.54918i
\(147\) 2.86646 + 7.91258i 0.236422 + 0.652618i
\(148\) 1.58269 1.58269i 0.130096 0.130096i
\(149\) −14.6725 3.93148i −1.20202 0.322079i −0.398391 0.917216i \(-0.630431\pi\)
−0.803625 + 0.595137i \(0.797098\pi\)
\(150\) −14.2228 3.81099i −1.16129 0.311166i
\(151\) −5.08565 5.08565i −0.413864 0.413864i 0.469218 0.883082i \(-0.344536\pi\)
−0.883082 + 0.469218i \(0.844536\pi\)
\(152\) 8.26706 4.77299i 0.670547 0.387141i
\(153\) −1.12221 + 1.94372i −0.0907252 + 0.157141i
\(154\) 4.61078 + 26.2646i 0.371547 + 2.11646i
\(155\) 16.9802i 1.36389i
\(156\) 15.1156 3.99100i 1.21021 0.319536i
\(157\) 19.0028i 1.51659i −0.651911 0.758296i \(-0.726032\pi\)
0.651911 0.758296i \(-0.273968\pi\)
\(158\) 1.23356 + 4.60369i 0.0981364 + 0.366250i
\(159\) −7.89767 4.55972i −0.626326 0.361609i
\(160\) 5.35833 + 9.28090i 0.423613 + 0.733720i
\(161\) −8.88685 10.6071i −0.700382 0.835960i
\(162\) 4.39021 + 1.17635i 0.344928 + 0.0924231i
\(163\) −0.262463 + 0.979525i −0.0205577 + 0.0767223i −0.975443 0.220254i \(-0.929311\pi\)
0.954885 + 0.296976i \(0.0959781\pi\)
\(164\) −13.3296 + 13.3296i −1.04087 + 1.04087i
\(165\) −8.16105 14.1353i −0.635337 1.10044i
\(166\) 8.56608 14.8369i 0.664857 1.15157i
\(167\) −0.522634 1.95050i −0.0404426 0.150934i 0.942752 0.333495i \(-0.108228\pi\)
−0.983195 + 0.182561i \(0.941561\pi\)
\(168\) 1.06365 12.0531i 0.0820624 0.929915i
\(169\) 11.3056 6.41746i 0.869660 0.493651i
\(170\) −10.9031 −0.836230
\(171\) 3.76827 1.00970i 0.288166 0.0772140i
\(172\) 11.3720 19.6968i 0.867104 1.50187i
\(173\) 1.22524 + 2.12218i 0.0931533 + 0.161346i 0.908836 0.417153i \(-0.136972\pi\)
−0.815683 + 0.578499i \(0.803639\pi\)
\(174\) 5.40875 + 5.40875i 0.410037 + 0.410037i
\(175\) −4.69025 + 12.8562i −0.354550 + 0.971840i
\(176\) 1.97645 7.37623i 0.148981 0.556004i
\(177\) 1.72664 + 1.72664i 0.129782 + 0.129782i
\(178\) −14.3550 + 8.28784i −1.07595 + 0.621200i
\(179\) −6.50355 3.75482i −0.486098 0.280649i 0.236856 0.971545i \(-0.423883\pi\)
−0.722954 + 0.690896i \(0.757216\pi\)
\(180\) −4.62821 17.2727i −0.344966 1.28743i
\(181\) 4.93320 0.366682 0.183341 0.983049i \(-0.441309\pi\)
0.183341 + 0.983049i \(0.441309\pi\)
\(182\) −3.82413 22.2614i −0.283463 1.65013i
\(183\) −6.30057 −0.465751
\(184\) 5.14937 + 19.2177i 0.379617 + 1.41675i
\(185\) 1.71421 + 0.989701i 0.126031 + 0.0727642i
\(186\) −13.1252 + 7.57782i −0.962384 + 0.555633i
\(187\) −4.34551 4.34551i −0.317775 0.317775i
\(188\) 6.17811 23.0570i 0.450585 1.68161i
\(189\) 4.96527 13.6101i 0.361170 0.989988i
\(190\) 13.4008 + 13.4008i 0.972193 + 0.972193i
\(191\) 3.04432 + 5.27291i 0.220279 + 0.381534i 0.954893 0.296951i \(-0.0959699\pi\)
−0.734614 + 0.678486i \(0.762637\pi\)
\(192\) 6.93941 12.0194i 0.500809 0.867427i
\(193\) −13.9940 + 3.74968i −1.00731 + 0.269908i −0.724505 0.689270i \(-0.757932\pi\)
−0.282805 + 0.959177i \(0.591265\pi\)
\(194\) −14.8771 −1.06811
\(195\) 6.86892 + 11.9985i 0.491894 + 0.859228i
\(196\) −24.8556 4.42130i −1.77540 0.315807i
\(197\) −4.33340 16.1725i −0.308742 1.15224i −0.929676 0.368379i \(-0.879913\pi\)
0.620934 0.783863i \(-0.286754\pi\)
\(198\) 7.83424 13.5693i 0.556755 0.964328i
\(199\) −9.90747 17.1602i −0.702322 1.21646i −0.967649 0.252298i \(-0.918814\pi\)
0.265328 0.964158i \(-0.414520\pi\)
\(200\) 13.9130 13.9130i 0.983795 0.983795i
\(201\) −2.72737 + 10.1787i −0.192374 + 0.717948i
\(202\) −30.5084 8.17471i −2.14657 0.575171i
\(203\) 5.44936 4.56557i 0.382470 0.320440i
\(204\) 3.13002 + 5.42135i 0.219145 + 0.379570i
\(205\) −14.4373 8.33541i −1.00835 0.582170i
\(206\) 3.78397 + 14.1220i 0.263641 + 0.983923i
\(207\) 8.13083i 0.565132i
\(208\) −1.69699 + 6.24182i −0.117665 + 0.432792i
\(209\) 10.6819i 0.738885i
\(210\) 23.6600 4.15354i 1.63270 0.286621i
\(211\) −9.56393 + 16.5652i −0.658408 + 1.14040i 0.322619 + 0.946529i \(0.395437\pi\)
−0.981028 + 0.193868i \(0.937897\pi\)
\(212\) 23.6915 13.6783i 1.62714 0.939428i
\(213\) 7.32191 + 7.32191i 0.501689 + 0.501689i
\(214\) 19.5482 + 5.23793i 1.33629 + 0.358058i
\(215\) 19.4282 + 5.20577i 1.32499 + 0.355031i
\(216\) −14.7288 + 14.7288i −1.00217 + 1.00217i
\(217\) 5.94328 + 12.7705i 0.403456 + 0.866917i
\(218\) 9.57347 + 5.52725i 0.648397 + 0.374352i
\(219\) 18.3613 4.91989i 1.24074 0.332455i
\(220\) 48.9631 3.30109
\(221\) 3.66735 + 3.69428i 0.246693 + 0.248504i
\(222\) 1.76671i 0.118574i
\(223\) 0.670621 0.179692i 0.0449081 0.0120331i −0.236295 0.971681i \(-0.575933\pi\)
0.281203 + 0.959648i \(0.409267\pi\)
\(224\) −7.27831 5.10450i −0.486303 0.341059i
\(225\) 6.96374 4.02052i 0.464249 0.268034i
\(226\) −32.8202 + 32.8202i −2.18316 + 2.18316i
\(227\) 1.34886 5.03400i 0.0895267 0.334118i −0.906606 0.421978i \(-0.861336\pi\)
0.996133 + 0.0878596i \(0.0280027\pi\)
\(228\) 2.81622 10.5103i 0.186509 0.696060i
\(229\) −0.749026 + 0.749026i −0.0494970 + 0.0494970i −0.731422 0.681925i \(-0.761143\pi\)
0.681925 + 0.731422i \(0.261143\pi\)
\(230\) −34.2068 + 19.7493i −2.25553 + 1.30223i
\(231\) 11.0853 + 7.77445i 0.729359 + 0.511521i
\(232\) −9.87299 + 2.64546i −0.648193 + 0.173683i
\(233\) 1.32103i 0.0865439i −0.999063 0.0432719i \(-0.986222\pi\)
0.999063 0.0432719i \(-0.0137782\pi\)
\(234\) −6.67794 + 11.4694i −0.436551 + 0.749780i
\(235\) 21.1097 1.37705
\(236\) −7.07546 + 1.89586i −0.460573 + 0.123410i
\(237\) 2.09577 + 1.20999i 0.136135 + 0.0785973i
\(238\) 8.20001 3.81621i 0.531527 0.247368i
\(239\) 15.2273 15.2273i 0.984972 0.984972i −0.0149168 0.999889i \(-0.504748\pi\)
0.999889 + 0.0149168i \(0.00474835\pi\)
\(240\) −6.64475 1.78045i −0.428917 0.114928i
\(241\) −3.38927 0.908152i −0.218322 0.0584992i 0.148000 0.988987i \(-0.452716\pi\)
−0.366322 + 0.930488i \(0.619383\pi\)
\(242\) 11.9191 + 11.9191i 0.766191 + 0.766191i
\(243\) −12.2279 + 7.05977i −0.784419 + 0.452885i
\(244\) 9.45024 16.3683i 0.604989 1.04787i
\(245\) −1.91235 22.2440i −0.122176 1.42111i
\(246\) 14.8795i 0.948680i
\(247\) 0.0330970 9.04800i 0.00210591 0.575711i
\(248\) 20.2520i 1.28600i
\(249\) −2.25143 8.40244i −0.142678 0.532483i
\(250\) 1.12800 + 0.651249i 0.0713407 + 0.0411886i
\(251\) −8.75834 15.1699i −0.552822 0.957515i −0.998069 0.0621079i \(-0.980218\pi\)
0.445248 0.895407i \(-0.353116\pi\)
\(252\) 9.52643 + 11.3705i 0.600109 + 0.716276i
\(253\) −21.5046 5.76214i −1.35198 0.362262i
\(254\) −0.725163 + 2.70634i −0.0455008 + 0.169811i
\(255\) −3.91458 + 3.91458i −0.245140 + 0.245140i
\(256\) 12.8609 + 22.2758i 0.803807 + 1.39224i
\(257\) −3.42559 + 5.93330i −0.213683 + 0.370109i −0.952864 0.303397i \(-0.901879\pi\)
0.739182 + 0.673506i \(0.235212\pi\)
\(258\) −4.64639 17.3406i −0.289272 1.07958i
\(259\) −1.63563 0.144340i −0.101633 0.00896884i
\(260\) −41.4736 0.151708i −2.57208 0.00940850i
\(261\) −4.17717 −0.258560
\(262\) 22.1189 5.92674i 1.36651 0.366155i
\(263\) −8.70849 + 15.0836i −0.536989 + 0.930092i 0.462076 + 0.886841i \(0.347105\pi\)
−0.999064 + 0.0432511i \(0.986228\pi\)
\(264\) −9.73350 16.8589i −0.599056 1.03759i
\(265\) 17.1068 + 17.1068i 1.05086 + 1.05086i
\(266\) −14.7689 5.38802i −0.905537 0.330361i
\(267\) −2.17830 + 8.12952i −0.133310 + 0.497518i
\(268\) −22.3525 22.3525i −1.36539 1.36539i
\(269\) 0.145276 0.0838752i 0.00885764 0.00511396i −0.495565 0.868571i \(-0.665039\pi\)
0.504422 + 0.863457i \(0.331706\pi\)
\(270\) −35.8126 20.6764i −2.17949 1.25833i
\(271\) 0.645525 + 2.40913i 0.0392128 + 0.146344i 0.982757 0.184903i \(-0.0591972\pi\)
−0.943544 + 0.331248i \(0.892530\pi\)
\(272\) −2.59009 −0.157047
\(273\) −9.36557 6.61960i −0.566830 0.400636i
\(274\) 15.6167 0.943441
\(275\) 5.69850 + 21.2671i 0.343632 + 1.28245i
\(276\) 19.6399 + 11.3391i 1.18218 + 0.682532i
\(277\) −7.38731 + 4.26506i −0.443860 + 0.256263i −0.705234 0.708975i \(-0.749158\pi\)
0.261373 + 0.965238i \(0.415825\pi\)
\(278\) 38.0383 + 38.0383i 2.28139 + 2.28139i
\(279\) 2.14210 7.99444i 0.128244 0.478614i
\(280\) −11.0014 + 30.1554i −0.657459 + 1.80213i
\(281\) 15.7936 + 15.7936i 0.942166 + 0.942166i 0.998417 0.0562508i \(-0.0179146\pi\)
−0.0562508 + 0.998417i \(0.517915\pi\)
\(282\) −9.42071 16.3171i −0.560995 0.971672i
\(283\) −4.79048 + 8.29736i −0.284765 + 0.493227i −0.972552 0.232685i \(-0.925249\pi\)
0.687787 + 0.725912i \(0.258582\pi\)
\(284\) −30.0038 + 8.03949i −1.78040 + 0.477056i
\(285\) 9.62263 0.569996
\(286\) −25.6021 25.7901i −1.51388 1.52500i
\(287\) 13.7755 + 1.21565i 0.813143 + 0.0717576i
\(288\) 1.35194 + 5.04550i 0.0796636 + 0.297309i
\(289\) 7.45780 12.9173i 0.438694 0.759841i
\(290\) −10.1461 17.5735i −0.595799 1.03195i
\(291\) −5.34138 + 5.34138i −0.313117 + 0.313117i
\(292\) −14.7587 + 55.0802i −0.863688 + 3.22333i
\(293\) 14.5286 + 3.89292i 0.848769 + 0.227427i 0.656885 0.753991i \(-0.271874\pi\)
0.191884 + 0.981418i \(0.438540\pi\)
\(294\) −16.3404 + 11.4051i −0.952993 + 0.665157i
\(295\) −3.23895 5.61003i −0.188579 0.326628i
\(296\) 2.04450 + 1.18039i 0.118834 + 0.0686090i
\(297\) −6.03264 22.5141i −0.350049 1.30640i
\(298\) 35.9672i 2.08352i
\(299\) 18.1973 + 4.94738i 1.05238 + 0.286114i
\(300\) 22.4277i 1.29486i
\(301\) −16.4336 + 2.88494i −0.947219 + 0.166285i
\(302\) 8.51488 14.7482i 0.489976 0.848663i
\(303\) −13.8885 + 8.01855i −0.797875 + 0.460654i
\(304\) 3.18342 + 3.18342i 0.182582 + 0.182582i
\(305\) 16.1451 + 4.32606i 0.924464 + 0.247709i
\(306\) −5.13328 1.37546i −0.293450 0.0786296i
\(307\) −15.7439 + 15.7439i −0.898552 + 0.898552i −0.995308 0.0967560i \(-0.969153\pi\)
0.0967560 + 0.995308i \(0.469153\pi\)
\(308\) −36.8241 + 17.1376i −2.09825 + 0.976508i
\(309\) 6.42882 + 3.71168i 0.365723 + 0.211150i
\(310\) 38.8360 10.4061i 2.20574 0.591025i
\(311\) 3.89372 0.220793 0.110396 0.993888i \(-0.464788\pi\)
0.110396 + 0.993888i \(0.464788\pi\)
\(312\) 8.19241 + 14.3103i 0.463804 + 0.810161i
\(313\) 9.97498i 0.563819i −0.959441 0.281910i \(-0.909032\pi\)
0.959441 0.281910i \(-0.0909678\pi\)
\(314\) 43.4620 11.6456i 2.45270 0.657199i
\(315\) −7.53241 + 10.7402i −0.424403 + 0.605140i
\(316\) −6.28689 + 3.62974i −0.353665 + 0.204189i
\(317\) 10.9787 10.9787i 0.616625 0.616625i −0.328039 0.944664i \(-0.606388\pi\)
0.944664 + 0.328039i \(0.106388\pi\)
\(318\) 5.58871 20.8574i 0.313399 1.16962i
\(319\) 2.96026 11.0479i 0.165743 0.618561i
\(320\) −26.0348 + 26.0348i −1.45539 + 1.45539i
\(321\) 8.89905 5.13787i 0.496697 0.286768i
\(322\) 18.8137 26.8258i 1.04845 1.49494i
\(323\) 3.49959 0.937714i 0.194723 0.0521758i
\(324\) 6.92284i 0.384602i
\(325\) −4.76095 18.0317i −0.264090 1.00022i
\(326\) −2.40115 −0.132987
\(327\) 5.42166 1.45273i 0.299818 0.0803361i
\(328\) −17.2191 9.94146i −0.950766 0.548925i
\(329\) −15.8762 + 7.38865i −0.875283 + 0.407349i
\(330\) 27.3280 27.3280i 1.50436 1.50436i
\(331\) 14.1453 + 3.79022i 0.777495 + 0.208329i 0.625680 0.780080i \(-0.284822\pi\)
0.151815 + 0.988409i \(0.451488\pi\)
\(332\) 25.2057 + 6.75384i 1.38334 + 0.370665i
\(333\) 0.682212 + 0.682212i 0.0373850 + 0.0373850i
\(334\) 4.14075 2.39066i 0.226572 0.130811i
\(335\) 13.9776 24.2100i 0.763680 1.32273i
\(336\) 5.62056 0.986694i 0.306627 0.0538286i
\(337\) 11.8235i 0.644066i −0.946728 0.322033i \(-0.895634\pi\)
0.946728 0.322033i \(-0.104366\pi\)
\(338\) 21.6060 + 21.9245i 1.17521 + 1.19254i
\(339\) 23.5670i 1.27999i
\(340\) −4.29823 16.0412i −0.233104 0.869956i
\(341\) 19.6258 + 11.3309i 1.06280 + 0.613605i
\(342\) 4.61865 + 7.99973i 0.249748 + 0.432576i
\(343\) 9.22389 + 16.0599i 0.498043 + 0.867152i
\(344\) 23.1716 + 6.20881i 1.24933 + 0.334756i
\(345\) −5.19072 + 19.3720i −0.279459 + 1.04295i
\(346\) −4.10283 + 4.10283i −0.220569 + 0.220569i
\(347\) 5.00685 + 8.67212i 0.268782 + 0.465544i 0.968548 0.248829i \(-0.0800456\pi\)
−0.699766 + 0.714372i \(0.746712\pi\)
\(348\) −5.82539 + 10.0899i −0.312274 + 0.540874i
\(349\) 4.39634 + 16.4073i 0.235330 + 0.878265i 0.978000 + 0.208607i \(0.0668928\pi\)
−0.742669 + 0.669658i \(0.766441\pi\)
\(350\) −32.2782 2.84846i −1.72534 0.152257i
\(351\) 5.04012 + 19.0890i 0.269022 + 1.01890i
\(352\) −14.3025 −0.762326
\(353\) −34.8505 + 9.33817i −1.85491 + 0.497021i −0.999771 0.0213843i \(-0.993193\pi\)
−0.855135 + 0.518405i \(0.826526\pi\)
\(354\) −2.89091 + 5.00721i −0.153650 + 0.266130i
\(355\) −13.7349 23.7896i −0.728973 1.26262i
\(356\) −17.8525 17.8525i −0.946181 0.946181i
\(357\) 1.57393 4.31422i 0.0833010 0.228333i
\(358\) 4.60217 17.1755i 0.243232 0.907756i
\(359\) −2.44977 2.44977i −0.129294 0.129294i 0.639498 0.768792i \(-0.279142\pi\)
−0.768792 + 0.639498i \(0.779142\pi\)
\(360\) 16.3341 9.43047i 0.860880 0.497030i
\(361\) 11.0007 + 6.35125i 0.578984 + 0.334276i
\(362\) 3.02324 + 11.2829i 0.158898 + 0.593014i
\(363\) 8.55873 0.449217
\(364\) 31.2446 14.4021i 1.63766 0.754877i
\(365\) −50.4284 −2.63954
\(366\) −3.86121 14.4102i −0.201828 0.753234i
\(367\) 10.9829 + 6.34099i 0.573303 + 0.330997i 0.758468 0.651711i \(-0.225948\pi\)
−0.185164 + 0.982708i \(0.559282\pi\)
\(368\) −8.12600 + 4.69155i −0.423597 + 0.244564i
\(369\) −5.74569 5.74569i −0.299109 0.299109i
\(370\) −1.21305 + 4.52715i −0.0630633 + 0.235355i
\(371\) −18.8533 6.87811i −0.978814 0.357094i
\(372\) −16.3231 16.3231i −0.846312 0.846312i
\(373\) −15.0192 26.0141i −0.777667 1.34696i −0.933283 0.359141i \(-0.883070\pi\)
0.155617 0.987818i \(-0.450264\pi\)
\(374\) 7.27567 12.6018i 0.376216 0.651625i
\(375\) 0.638808 0.171168i 0.0329879 0.00883908i
\(376\) 25.1771 1.29841
\(377\) −2.54169 + 9.34878i −0.130904 + 0.481487i
\(378\) 34.1709 + 3.01549i 1.75756 + 0.155100i
\(379\) 3.10882 + 11.6023i 0.159689 + 0.595969i 0.998658 + 0.0517891i \(0.0164924\pi\)
−0.838969 + 0.544180i \(0.816841\pi\)
\(380\) −14.4330 + 24.9987i −0.740398 + 1.28241i
\(381\) 0.711310 + 1.23202i 0.0364415 + 0.0631185i
\(382\) −10.1942 + 10.1942i −0.521579 + 0.521579i
\(383\) −1.48137 + 5.52856i −0.0756947 + 0.282496i −0.993390 0.114789i \(-0.963381\pi\)
0.917695 + 0.397285i \(0.130048\pi\)
\(384\) 23.9387 + 6.41436i 1.22162 + 0.327331i
\(385\) −23.0678 27.5332i −1.17564 1.40322i
\(386\) −17.1520 29.7082i −0.873015 1.51211i
\(387\) 8.49024 + 4.90184i 0.431583 + 0.249175i
\(388\) −5.86486 21.8879i −0.297743 1.11119i
\(389\) 16.4483i 0.833960i 0.908916 + 0.416980i \(0.136912\pi\)
−0.908916 + 0.416980i \(0.863088\pi\)
\(390\) −23.2325 + 23.0632i −1.17643 + 1.16785i
\(391\) 7.55112i 0.381877i
\(392\) −2.28082 26.5299i −0.115199 1.33996i
\(393\) 5.81352 10.0693i 0.293253 0.507930i
\(394\) 34.3329 19.8221i 1.72967 0.998624i
\(395\) −4.53956 4.53956i −0.228410 0.228410i
\(396\) 23.0522 + 6.17683i 1.15842 + 0.310397i
\(397\) −10.9116 2.92375i −0.547636 0.146739i −0.0256162 0.999672i \(-0.508155\pi\)
−0.522020 + 0.852933i \(0.674821\pi\)
\(398\) 33.1761 33.1761i 1.66297 1.66297i
\(399\) −7.23699 + 3.36803i −0.362302 + 0.168613i
\(400\) 8.03625 + 4.63973i 0.401812 + 0.231987i
\(401\) −23.3830 + 6.26544i −1.16769 + 0.312881i −0.790033 0.613064i \(-0.789937\pi\)
−0.377656 + 0.925946i \(0.623270\pi\)
\(402\) −24.9514 −1.24446
\(403\) −16.5887 9.65855i −0.826341 0.481127i
\(404\) 48.1082i 2.39347i
\(405\) −5.91359 + 1.58454i −0.293849 + 0.0787366i
\(406\) 13.7816 + 9.66545i 0.683970 + 0.479688i
\(407\) −2.28780 + 1.32086i −0.113402 + 0.0654726i
\(408\) −4.66883 + 4.66883i −0.231142 + 0.231142i
\(409\) −0.0933824 + 0.348508i −0.00461746 + 0.0172326i −0.968196 0.250192i \(-0.919506\pi\)
0.963579 + 0.267425i \(0.0861728\pi\)
\(410\) 10.2165 38.1283i 0.504555 1.88302i
\(411\) 5.60692 5.60692i 0.276569 0.276569i
\(412\) −19.2852 + 11.1343i −0.950114 + 0.548549i
\(413\) 4.39952 + 3.08552i 0.216486 + 0.151828i
\(414\) −18.5963 + 4.98286i −0.913957 + 0.244894i
\(415\) 23.0769i 1.13280i
\(416\) 12.1148 + 0.0443150i 0.593975 + 0.00217272i
\(417\) 27.3140 1.33757
\(418\) −24.4310 + 6.54626i −1.19496 + 0.320188i
\(419\) −15.9181 9.19033i −0.777651 0.448977i 0.0579460 0.998320i \(-0.481545\pi\)
−0.835597 + 0.549343i \(0.814878\pi\)
\(420\) 15.4382 + 33.1724i 0.753305 + 1.61865i
\(421\) 20.7439 20.7439i 1.01099 1.01099i 0.0110561 0.999939i \(-0.496481\pi\)
0.999939 0.0110561i \(-0.00351933\pi\)
\(422\) −43.7479 11.7222i −2.12962 0.570629i
\(423\) 9.93864 + 2.66305i 0.483233 + 0.129482i
\(424\) 20.4030 + 20.4030i 0.990855 + 0.990855i
\(425\) 6.46724 3.73386i 0.313707 0.181119i
\(426\) −12.2590 + 21.2333i −0.593952 + 1.02876i
\(427\) −13.6565 + 2.39742i −0.660887 + 0.116019i
\(428\) 30.8252i 1.48999i
\(429\) −18.4515 0.0674943i −0.890846 0.00325865i
\(430\) 47.6251i 2.29669i
\(431\) −2.49781 9.32194i −0.120315 0.449022i 0.879314 0.476242i \(-0.158001\pi\)
−0.999629 + 0.0272197i \(0.991335\pi\)
\(432\) −8.50747 4.91179i −0.409316 0.236319i
\(433\) 13.6960 + 23.7221i 0.658186 + 1.14001i 0.981085 + 0.193578i \(0.0620093\pi\)
−0.322899 + 0.946433i \(0.604657\pi\)
\(434\) −25.5655 + 21.4192i −1.22718 + 1.02816i
\(435\) −9.95227 2.66670i −0.477175 0.127859i
\(436\) −4.35791 + 16.2639i −0.208706 + 0.778901i
\(437\) 9.28091 9.28091i 0.443966 0.443966i
\(438\) 22.5048 + 38.9795i 1.07532 + 1.86251i
\(439\) 17.2958 29.9571i 0.825481 1.42978i −0.0760695 0.997103i \(-0.524237\pi\)
0.901551 0.432673i \(-0.142430\pi\)
\(440\) 13.3663 + 49.8838i 0.637214 + 2.37812i
\(441\) 1.90578 10.7139i 0.0907516 0.510185i
\(442\) −6.20181 + 10.6517i −0.294990 + 0.506649i
\(443\) 7.97215 0.378768 0.189384 0.981903i \(-0.439351\pi\)
0.189384 + 0.981903i \(0.439351\pi\)
\(444\) 2.59927 0.696472i 0.123356 0.0330531i
\(445\) 11.1637 19.3361i 0.529209 0.916617i
\(446\) 0.821959 + 1.42368i 0.0389209 + 0.0674130i
\(447\) −12.9134 12.9134i −0.610784 0.610784i
\(448\) 10.4678 28.6927i 0.494555 1.35560i
\(449\) −5.25579 + 19.6149i −0.248036 + 0.925683i 0.723797 + 0.690013i \(0.242395\pi\)
−0.971833 + 0.235670i \(0.924271\pi\)
\(450\) 13.4631 + 13.4631i 0.634655 + 0.634655i
\(451\) 19.2682 11.1245i 0.907302 0.523831i
\(452\) −61.2250 35.3483i −2.87978 1.66264i
\(453\) −2.23797 8.35221i −0.105149 0.392421i
\(454\) 12.3400 0.579146
\(455\) 19.4540 + 23.3931i 0.912016 + 1.09669i
\(456\) 11.4767 0.537446
\(457\) 0.363747 + 1.35752i 0.0170154 + 0.0635022i 0.973912 0.226928i \(-0.0728682\pi\)
−0.956896 + 0.290430i \(0.906202\pi\)
\(458\) −2.17215 1.25409i −0.101498 0.0585998i
\(459\) −6.84646 + 3.95280i −0.319565 + 0.184501i
\(460\) −42.5412 42.5412i −1.98349 1.98349i
\(461\) −4.89285 + 18.2604i −0.227883 + 0.850469i 0.753347 + 0.657624i \(0.228438\pi\)
−0.981229 + 0.192846i \(0.938228\pi\)
\(462\) −10.9877 + 30.1180i −0.511195 + 1.40121i
\(463\) 22.4573 + 22.4573i 1.04368 + 1.04368i 0.999002 + 0.0446754i \(0.0142253\pi\)
0.0446754 + 0.999002i \(0.485775\pi\)
\(464\) −2.41026 4.17468i −0.111893 0.193805i
\(465\) 10.2073 17.6795i 0.473352 0.819869i
\(466\) 3.02138 0.809576i 0.139963 0.0375029i
\(467\) −28.3889 −1.31368 −0.656841 0.754029i \(-0.728108\pi\)
−0.656841 + 0.754029i \(0.728108\pi\)
\(468\) −19.5070 5.30343i −0.901711 0.245151i
\(469\) −2.03853 + 23.1002i −0.0941304 + 1.06667i
\(470\) 12.9368 + 48.2807i 0.596729 + 2.22702i
\(471\) 11.4231 19.7854i 0.526350 0.911665i
\(472\) −3.86302 6.69096i −0.177810 0.307976i
\(473\) −18.9813 + 18.9813i −0.872762 + 0.872762i
\(474\) −1.48305 + 5.53481i −0.0681187 + 0.254222i
\(475\) −12.5379 3.35953i −0.575280 0.154146i
\(476\) 8.84721 + 10.5598i 0.405511 + 0.484009i
\(477\) 5.89597 + 10.2121i 0.269958 + 0.467581i
\(478\) 44.1586 + 25.4950i 2.01977 + 1.16611i
\(479\) 0.905222 + 3.37834i 0.0413607 + 0.154360i 0.983518 0.180811i \(-0.0578724\pi\)
−0.942157 + 0.335172i \(0.891206\pi\)
\(480\) 12.8842i 0.588079i
\(481\) 1.94194 1.11173i 0.0885449 0.0506905i
\(482\) 8.30825i 0.378430i
\(483\) −2.87660 16.3861i −0.130890 0.745594i
\(484\) −12.8373 + 22.2348i −0.583512 + 1.01067i
\(485\) 17.3546 10.0197i 0.788033 0.454971i
\(486\) −23.6403 23.6403i −1.07235 1.07235i
\(487\) −23.4826 6.29214i −1.06410 0.285124i −0.316032 0.948749i \(-0.602351\pi\)
−0.748066 + 0.663625i \(0.769017\pi\)
\(488\) 19.2559 + 5.15960i 0.871672 + 0.233564i
\(489\) −0.862092 + 0.862092i −0.0389851 + 0.0389851i
\(490\) 49.7029 18.0057i 2.24535 0.813414i
\(491\) −5.24444 3.02788i −0.236678 0.136646i 0.376971 0.926225i \(-0.376966\pi\)
−0.613649 + 0.789579i \(0.710299\pi\)
\(492\) −21.8914 + 5.86579i −0.986941 + 0.264450i
\(493\) −3.87934 −0.174717
\(494\) 20.7142 5.46923i 0.931978 0.246072i
\(495\) 21.1054i 0.948615i
\(496\) 9.22569 2.47202i 0.414246 0.110997i
\(497\) 18.6564 + 13.0843i 0.836852 + 0.586909i
\(498\) 17.8377 10.2986i 0.799328 0.461492i
\(499\) 12.9362 12.9362i 0.579103 0.579103i −0.355553 0.934656i \(-0.615707\pi\)
0.934656 + 0.355553i \(0.115707\pi\)
\(500\) −0.513471 + 1.91630i −0.0229631 + 0.0856995i
\(501\) 0.628339 2.34499i 0.0280721 0.104767i
\(502\) 29.3281 29.3281i 1.30898 1.30898i
\(503\) −7.01237 + 4.04859i −0.312666 + 0.180518i −0.648119 0.761539i \(-0.724444\pi\)
0.335453 + 0.942057i \(0.391111\pi\)
\(504\) −8.98374 + 12.8096i −0.400167 + 0.570584i
\(505\) 41.0947 11.0113i 1.82869 0.489996i
\(506\) 52.7150i 2.34347i
\(507\) 15.6289 + 0.114340i 0.694104 + 0.00507804i
\(508\) −4.26758 −0.189343
\(509\) −15.6029 + 4.18077i −0.691584 + 0.185309i −0.587458 0.809255i \(-0.699871\pi\)
−0.104126 + 0.994564i \(0.533205\pi\)
\(510\) −11.3521 6.55416i −0.502681 0.290223i
\(511\) 37.9262 17.6505i 1.67776 0.780814i
\(512\) −13.9135 + 13.9135i −0.614896 + 0.614896i
\(513\) 13.2731 + 3.55652i 0.586023 + 0.157024i
\(514\) −15.6696 4.19864i −0.691154 0.185194i
\(515\) −13.9252 13.9252i −0.613619 0.613619i
\(516\) 23.6806 13.6720i 1.04248 0.601876i
\(517\) −14.0866 + 24.3987i −0.619527 + 1.07305i
\(518\) −0.672247 3.82936i −0.0295368 0.168252i
\(519\) 2.94610i 0.129320i
\(520\) −11.1672 42.2949i −0.489715 1.85475i
\(521\) 32.3470i 1.41715i −0.705636 0.708574i \(-0.749339\pi\)
0.705636 0.708574i \(-0.250661\pi\)
\(522\) −2.55991 9.55373i −0.112044 0.418155i
\(523\) −18.4602 10.6580i −0.807210 0.466043i 0.0387760 0.999248i \(-0.487654\pi\)
−0.845986 + 0.533205i \(0.820987\pi\)
\(524\) 17.4394 + 30.2060i 0.761845 + 1.31956i
\(525\) −12.6116 + 10.5663i −0.550417 + 0.461150i
\(526\) −39.8349 10.6737i −1.73688 0.465397i
\(527\) 1.98937 7.42445i 0.0866585 0.323414i
\(528\) 6.49191 6.49191i 0.282524 0.282524i
\(529\) 2.17769 + 3.77187i 0.0946821 + 0.163994i
\(530\) −28.6419 + 49.6092i −1.24413 + 2.15489i
\(531\) −0.817205 3.04985i −0.0354637 0.132352i
\(532\) 2.10494 23.8527i 0.0912606 1.03415i
\(533\) −16.3553 + 9.36315i −0.708428 + 0.405563i
\(534\) −19.9282 −0.862378
\(535\) −26.3314 + 7.05547i −1.13840 + 0.305034i
\(536\) 16.6708 28.8747i 0.720070 1.24720i
\(537\) −4.51426 7.81892i −0.194805 0.337411i
\(538\) 0.280864 + 0.280864i 0.0121089 + 0.0121089i
\(539\) 26.9857 + 12.6331i 1.16236 + 0.544148i
\(540\) 16.3021 60.8404i 0.701532 2.61815i
\(541\) 13.0949 + 13.0949i 0.562992 + 0.562992i 0.930156 0.367164i \(-0.119671\pi\)
−0.367164 + 0.930156i \(0.619671\pi\)
\(542\) −5.11440 + 2.95280i −0.219682 + 0.126834i
\(543\) 5.13637 + 2.96548i 0.220423 + 0.127261i
\(544\) 1.25555 + 4.68576i 0.0538311 + 0.200900i
\(545\) −14.8904 −0.637833
\(546\) 9.40033 25.4770i 0.402297 1.09032i
\(547\) −35.0943 −1.50053 −0.750263 0.661140i \(-0.770073\pi\)
−0.750263 + 0.661140i \(0.770073\pi\)
\(548\) 6.15643 + 22.9761i 0.262990 + 0.981490i
\(549\) 7.05549 + 4.07349i 0.301121 + 0.173852i
\(550\) −45.1483 + 26.0664i −1.92513 + 1.11148i
\(551\) 4.76801 + 4.76801i 0.203124 + 0.203124i
\(552\) −6.19086 + 23.1046i −0.263500 + 0.983397i
\(553\) 5.00301 + 1.82521i 0.212749 + 0.0776159i
\(554\) −14.2820 14.2820i −0.606782 0.606782i
\(555\) 1.18987 + 2.06092i 0.0505073 + 0.0874812i
\(556\) −40.9684 + 70.9594i −1.73745 + 3.00935i
\(557\) 9.16086 2.45464i 0.388158 0.104007i −0.0594618 0.998231i \(-0.518938\pi\)
0.447620 + 0.894224i \(0.352272\pi\)
\(558\) 19.5971 0.829610
\(559\) 16.1367 16.0191i 0.682510 0.677535i
\(560\) −15.0800 1.33077i −0.637248 0.0562354i
\(561\) −1.91227 7.13668i −0.0807360 0.301311i
\(562\) −26.4431 + 45.8008i −1.11544 + 1.93199i
\(563\) 15.8351 + 27.4272i 0.667369 + 1.15592i 0.978637 + 0.205595i \(0.0659129\pi\)
−0.311268 + 0.950322i \(0.600754\pi\)
\(564\) 20.2928 20.2928i 0.854479 0.854479i
\(565\) 16.1815 60.3901i 0.680760 2.54063i
\(566\) −21.9129 5.87155i −0.921069 0.246800i
\(567\) 3.89288 3.26153i 0.163486 0.136971i
\(568\) −16.3813 28.3733i −0.687345 1.19052i
\(569\) −6.05848 3.49787i −0.253985 0.146638i 0.367603 0.929983i \(-0.380179\pi\)
−0.621587 + 0.783345i \(0.713512\pi\)
\(570\) 5.89708 + 22.0082i 0.247002 + 0.921823i
\(571\) 15.2998i 0.640277i −0.947371 0.320139i \(-0.896271\pi\)
0.947371 0.320139i \(-0.103729\pi\)
\(572\) 27.8508 47.8340i 1.16450 2.00004i
\(573\) 7.32009i 0.305801i
\(574\) 5.66176 + 32.2514i 0.236317 + 1.34615i
\(575\) 13.5266 23.4288i 0.564099 0.977049i
\(576\) −15.5418 + 8.97304i −0.647574 + 0.373877i
\(577\) 29.5539 + 29.5539i 1.23035 + 1.23035i 0.963831 + 0.266516i \(0.0858724\pi\)
0.266516 + 0.963831i \(0.414128\pi\)
\(578\) 34.1139 + 9.14080i 1.41895 + 0.380207i
\(579\) −16.8244 4.50807i −0.699196 0.187349i
\(580\) 21.8553 21.8553i 0.907491 0.907491i
\(581\) −8.07720 17.3557i −0.335099 0.720036i
\(582\) −15.4898 8.94304i −0.642073 0.370701i
\(583\) −31.1876 + 8.35668i −1.29166 + 0.346098i
\(584\) −60.1449 −2.48881
\(585\) 0.0653930 17.8770i 0.00270367 0.739125i
\(586\) 35.6145i 1.47122i
\(587\) −0.941084 + 0.252163i −0.0388427 + 0.0104079i −0.278188 0.960527i \(-0.589734\pi\)
0.239345 + 0.970934i \(0.423067\pi\)
\(588\) −23.2214 19.5447i −0.957636 0.806012i
\(589\) −11.5703 + 6.68012i −0.476746 + 0.275250i
\(590\) 10.8459 10.8459i 0.446519 0.446519i
\(591\) 5.20986 19.4435i 0.214305 0.799797i
\(592\) −0.288165 + 1.07545i −0.0118435 + 0.0442006i
\(593\) 27.9207 27.9207i 1.14657 1.14657i 0.159344 0.987223i \(-0.449062\pi\)
0.987223 0.159344i \(-0.0509379\pi\)
\(594\) 47.7957 27.5949i 1.96108 1.13223i
\(595\) −6.99536 + 9.97442i −0.286782 + 0.408911i
\(596\) 52.9167 14.1790i 2.16755 0.580794i
\(597\) 23.8226i 0.974994i
\(598\) −0.163333 + 44.6516i −0.00667917 + 1.82594i
\(599\) 16.5488 0.676164 0.338082 0.941117i \(-0.390222\pi\)
0.338082 + 0.941117i \(0.390222\pi\)
\(600\) 22.8494 6.12248i 0.932824 0.249949i
\(601\) 9.99562 + 5.77097i 0.407730 + 0.235403i 0.689814 0.723987i \(-0.257692\pi\)
−0.282084 + 0.959390i \(0.591026\pi\)
\(602\) −16.6693 35.8179i −0.679391 1.45983i
\(603\) 9.63495 9.63495i 0.392365 0.392365i
\(604\) 25.0550 + 6.71347i 1.01947 + 0.273167i
\(605\) −21.9316 5.87655i −0.891645 0.238916i
\(606\) −26.8508 26.8508i −1.09074 1.09074i
\(607\) 18.5137 10.6889i 0.751447 0.433848i −0.0747696 0.997201i \(-0.523822\pi\)
0.826216 + 0.563353i \(0.190489\pi\)
\(608\) 4.21600 7.30232i 0.170981 0.296148i
\(609\) 8.41827 1.47784i 0.341126 0.0598849i
\(610\) 39.5770i 1.60243i
\(611\) 12.0075 20.6230i 0.485770 0.834315i
\(612\) 8.09456i 0.327203i
\(613\) 8.07793 + 30.1473i 0.326265 + 1.21764i 0.913034 + 0.407882i \(0.133733\pi\)
−0.586770 + 0.809754i \(0.699601\pi\)
\(614\) −45.6568 26.3600i −1.84256 1.06380i
\(615\) −10.0213 17.3574i −0.404097 0.699917i
\(616\) −27.5124 32.8382i −1.10851 1.32309i
\(617\) 26.9421 + 7.21911i 1.08465 + 0.290630i 0.756498 0.653996i \(-0.226909\pi\)
0.328149 + 0.944626i \(0.393575\pi\)
\(618\) −4.54929 + 16.9782i −0.182999 + 0.682963i
\(619\) −34.0406 + 34.0406i −1.36821 + 1.36821i −0.505214 + 0.862994i \(0.668586\pi\)
−0.862994 + 0.505214i \(0.831414\pi\)
\(620\) 30.6199 + 53.0352i 1.22972 + 2.12994i
\(621\) −14.3198 + 24.8026i −0.574633 + 0.995294i
\(622\) 2.38621 + 8.90546i 0.0956783 + 0.357076i
\(623\) −1.62813 + 18.4497i −0.0652298 + 0.739171i
\(624\) −5.51901 + 5.47878i −0.220937 + 0.219327i
\(625\) 24.1079 0.964316
\(626\) 22.8141 6.11301i 0.911834 0.244325i
\(627\) −6.42121 + 11.1219i −0.256438 + 0.444164i
\(628\) 34.2672 + 59.3525i 1.36741 + 2.36842i
\(629\) 0.633571 + 0.633571i 0.0252621 + 0.0252621i
\(630\) −29.1803 10.6456i −1.16257 0.424133i
\(631\) −2.94853 + 11.0041i −0.117379 + 0.438064i −0.999454 0.0330448i \(-0.989480\pi\)
0.882075 + 0.471109i \(0.156146\pi\)
\(632\) −5.41423 5.41423i −0.215367 0.215367i
\(633\) −19.9156 + 11.4983i −0.791575 + 0.457016i
\(634\) 31.8379 + 18.3816i 1.26444 + 0.730026i
\(635\) −0.976791 3.64543i −0.0387628 0.144665i
\(636\) 32.8896 1.30416
\(637\) −22.8188 10.7844i −0.904114 0.427292i
\(638\) 27.0820 1.07219
\(639\) −3.46539 12.9330i −0.137089 0.511622i
\(640\) −56.9382 32.8733i −2.25068 1.29943i
\(641\) −16.9100 + 9.76301i −0.667906 + 0.385616i −0.795283 0.606239i \(-0.792678\pi\)
0.127377 + 0.991854i \(0.459344\pi\)
\(642\) 17.2046 + 17.2046i 0.679012 + 0.679012i
\(643\) 9.35047 34.8964i 0.368747 1.37618i −0.493524 0.869732i \(-0.664291\pi\)
0.862270 0.506449i \(-0.169042\pi\)
\(644\) 46.8842 + 17.1044i 1.84750 + 0.674010i
\(645\) 17.0990 + 17.0990i 0.673272 + 0.673272i
\(646\) 4.28935 + 7.42937i 0.168762 + 0.292304i
\(647\) −2.89695 + 5.01767i −0.113891 + 0.197265i −0.917336 0.398114i \(-0.869665\pi\)
0.803445 + 0.595379i \(0.202998\pi\)
\(648\) −7.05301 + 1.88985i −0.277069 + 0.0742403i
\(649\) 8.64544 0.339363
\(650\) 38.3231 21.9393i 1.50316 0.860532i
\(651\) −1.48865 + 16.8691i −0.0583448 + 0.661152i
\(652\) −0.946581 3.53269i −0.0370710 0.138351i
\(653\) −18.1035 + 31.3562i −0.708445 + 1.22706i 0.256989 + 0.966414i \(0.417270\pi\)
−0.965434 + 0.260648i \(0.916064\pi\)
\(654\) 6.64516 + 11.5098i 0.259846 + 0.450067i
\(655\) −21.8108 + 21.8108i −0.852217 + 0.852217i
\(656\) 2.42697 9.05757i 0.0947573 0.353639i
\(657\) −23.7421 6.36168i −0.926269 0.248193i
\(658\) −26.6283 31.7829i −1.03808 1.23903i
\(659\) −10.3685 17.9588i −0.403901 0.699576i 0.590292 0.807190i \(-0.299013\pi\)
−0.994193 + 0.107613i \(0.965679\pi\)
\(660\) 50.9796 + 29.4331i 1.98438 + 1.14568i
\(661\) −8.78410 32.7827i −0.341662 1.27510i −0.896464 0.443117i \(-0.853872\pi\)
0.554801 0.831983i \(-0.312794\pi\)
\(662\) 34.6749i 1.34768i
\(663\) 1.59765 + 6.05097i 0.0620476 + 0.235000i
\(664\) 27.5234i 1.06811i
\(665\) 20.8572 3.66149i 0.808806 0.141987i
\(666\) −1.14222 + 1.97839i −0.0442603 + 0.0766611i
\(667\) −12.1708 + 7.02683i −0.471257 + 0.272080i
\(668\) 5.14963 + 5.14963i 0.199245 + 0.199245i
\(669\) 0.806257 + 0.216036i 0.0311717 + 0.00835243i
\(670\) 63.9374 + 17.1320i 2.47012 + 0.661866i
\(671\) −15.7737 + 15.7737i −0.608937 + 0.608937i
\(672\) −4.50961 9.68992i −0.173962 0.373797i
\(673\) −35.7571 20.6444i −1.37834 0.795783i −0.386377 0.922341i \(-0.626274\pi\)
−0.991959 + 0.126558i \(0.959607\pi\)
\(674\) 27.0419 7.24584i 1.04161 0.279099i
\(675\) 28.3233 1.09016
\(676\) −23.7389 + 40.4309i −0.913034 + 1.55504i
\(677\) 45.2354i 1.73854i 0.494341 + 0.869268i \(0.335410\pi\)
−0.494341 + 0.869268i \(0.664590\pi\)
\(678\) −53.9009 + 14.4427i −2.07005 + 0.554669i
\(679\) −9.54505 + 13.6099i −0.366305 + 0.522301i
\(680\) 15.1695 8.75810i 0.581723 0.335858i
\(681\) 4.43048 4.43048i 0.169776 0.169776i
\(682\) −13.8880 + 51.8307i −0.531799 + 1.98470i
\(683\) 11.2563 42.0091i 0.430710 1.60743i −0.320419 0.947276i \(-0.603824\pi\)
0.751129 0.660156i \(-0.229510\pi\)
\(684\) −9.94884 + 9.94884i −0.380403 + 0.380403i
\(685\) −18.2174 + 10.5178i −0.696051 + 0.401866i
\(686\) −31.0783 + 30.9383i −1.18658 + 1.18123i
\(687\) −1.23013 + 0.329613i −0.0469325 + 0.0125755i
\(688\) 11.3136i 0.431326i
\(689\) 26.4429 6.98179i 1.00740 0.265985i
\(690\) −47.4874 −1.80781
\(691\) 20.7975 5.57267i 0.791174 0.211994i 0.159468 0.987203i \(-0.449022\pi\)
0.631705 + 0.775209i \(0.282355\pi\)
\(692\) −7.65370 4.41887i −0.290950 0.167980i
\(693\) −7.38712 15.8729i −0.280613 0.602962i
\(694\) −16.7659 + 16.7659i −0.636425 + 0.636425i
\(695\) −69.9917 18.7542i −2.65494 0.711388i
\(696\) −11.8699 3.18052i −0.449926 0.120557i
\(697\) −5.33603 5.33603i −0.202117 0.202117i
\(698\) −34.8315 + 20.1100i −1.31839 + 0.761174i
\(699\) 0.794111 1.37544i 0.0300360 0.0520239i
\(700\) −8.53393 48.6123i −0.322552 1.83737i
\(701\) 8.77295i 0.331350i −0.986180 0.165675i \(-0.947020\pi\)
0.986180 0.165675i \(-0.0529803\pi\)
\(702\) −40.5703 + 23.2258i −1.53123 + 0.876602i
\(703\) 1.55742i 0.0587391i
\(704\) −12.7180 47.4642i −0.479327 1.78887i
\(705\) 21.9791 + 12.6896i 0.827781 + 0.477920i
\(706\) −42.7152 73.9850i −1.60761 2.78446i
\(707\) −27.0524 + 22.6650i −1.01741 + 0.852405i
\(708\) −8.50651 2.27931i −0.319694 0.0856618i
\(709\) −10.9783 + 40.9718i −0.412300 + 1.53873i 0.377881 + 0.925854i \(0.376653\pi\)
−0.790182 + 0.612872i \(0.790014\pi\)
\(710\) 45.9926 45.9926i 1.72607 1.72607i
\(711\) −1.56458 2.70994i −0.0586765 0.101631i
\(712\) 13.3147 23.0617i 0.498989 0.864274i
\(713\) −7.20689 26.8965i −0.269900 1.00728i
\(714\) 10.8317 + 0.955871i 0.405368 + 0.0357726i
\(715\) 47.2352 + 12.8420i 1.76650 + 0.480264i
\(716\) 27.0838 1.01217
\(717\) 25.0080 6.70086i 0.933939 0.250248i
\(718\) 4.10165 7.10426i 0.153072 0.265129i
\(719\) −2.80010 4.84991i −0.104426 0.180871i 0.809078 0.587702i \(-0.199967\pi\)
−0.913504 + 0.406831i \(0.866634\pi\)
\(720\) 6.28980 + 6.28980i 0.234407 + 0.234407i
\(721\) 15.3469 + 5.59889i 0.571547 + 0.208513i
\(722\) −7.78453 + 29.0523i −0.289710 + 1.08121i
\(723\) −2.98294 2.98294i −0.110937 0.110937i
\(724\) −15.4081 + 8.89587i −0.572637 + 0.330612i
\(725\) 12.0364 + 6.94923i 0.447021 + 0.258088i
\(726\) 5.24509 + 19.5749i 0.194664 + 0.726494i
\(727\) −32.0200 −1.18756 −0.593778 0.804629i \(-0.702364\pi\)
−0.593778 + 0.804629i \(0.702364\pi\)
\(728\) 23.2023 + 27.9005i 0.859936 + 1.03406i
\(729\) −22.7339 −0.841996
\(730\) −30.9043 115.336i −1.14382 4.26879i
\(731\) 7.88490 + 4.55235i 0.291633 + 0.168375i
\(732\) 19.6789 11.3616i 0.727352 0.419937i
\(733\) −0.647616 0.647616i −0.0239202 0.0239202i 0.695046 0.718966i \(-0.255384\pi\)
−0.718966 + 0.695046i \(0.755384\pi\)
\(734\) −7.77195 + 29.0053i −0.286868 + 1.07061i
\(735\) 11.3804 24.3096i 0.419771 0.896674i
\(736\) 12.4266 + 12.4266i 0.458051 + 0.458051i
\(737\) 18.6546 + 32.3108i 0.687152 + 1.19018i
\(738\) 9.61998 16.6623i 0.354116 0.613348i
\(739\) −8.47234 + 2.27016i −0.311660 + 0.0835090i −0.411259 0.911519i \(-0.634911\pi\)
0.0995988 + 0.995028i \(0.468244\pi\)
\(740\) −7.13877 −0.262427
\(741\) 5.47347 9.40074i 0.201073 0.345345i
\(742\) 4.17719 47.3351i 0.153349 1.73773i
\(743\) −9.56609 35.7011i −0.350946 1.30975i −0.885510 0.464620i \(-0.846191\pi\)
0.534564 0.845128i \(-0.320476\pi\)
\(744\) 12.1740 21.0860i 0.446321 0.773050i
\(745\) 24.2238 + 41.9569i 0.887492 + 1.53718i
\(746\) 50.2933 50.2933i 1.84137 1.84137i
\(747\) −2.91122 + 10.8648i −0.106516 + 0.397523i
\(748\) 21.4087 + 5.73643i 0.782778 + 0.209745i
\(749\) 17.3338 14.5226i 0.633363 0.530643i
\(750\) 0.782967 + 1.35614i 0.0285899 + 0.0495192i
\(751\) −10.7508 6.20698i −0.392303 0.226496i 0.290855 0.956767i \(-0.406060\pi\)
−0.683157 + 0.730271i \(0.739394\pi\)
\(752\) 3.07320 + 11.4693i 0.112068 + 0.418243i
\(753\) 21.0595i 0.767452i
\(754\) −22.9395 0.0839112i −0.835408 0.00305586i
\(755\) 22.9390i 0.834835i
\(756\) 9.03433 + 51.4628i 0.328576 + 1.87168i
\(757\) 11.7793 20.4023i 0.428124 0.741533i −0.568582 0.822626i \(-0.692508\pi\)
0.996707 + 0.0810934i \(0.0258412\pi\)
\(758\) −24.6307 + 14.2206i −0.894628 + 0.516514i
\(759\) −18.9264 18.9264i −0.686986 0.686986i
\(760\) −29.4088 7.88007i −1.06677 0.285840i
\(761\) −13.0838 3.50579i −0.474286 0.127085i 0.0137545 0.999905i \(-0.495622\pi\)
−0.488041 + 0.872821i \(0.662288\pi\)
\(762\) −2.38189 + 2.38189i −0.0862866 + 0.0862866i
\(763\) 11.1987 5.21179i 0.405421 0.188680i
\(764\) −19.0169 10.9794i −0.688008 0.397222i
\(765\) 6.91450 1.85273i 0.249994 0.0669857i
\(766\) −13.5524 −0.489667
\(767\) −7.32301 0.0267871i −0.264419 0.000967225i
\(768\) 30.9242i 1.11588i
\(769\) −29.8604 + 8.00107i −1.07679 + 0.288526i −0.753282 0.657698i \(-0.771530\pi\)
−0.323512 + 0.946224i \(0.604864\pi\)
\(770\) 48.8352 69.6323i 1.75990 2.50937i
\(771\) −7.13334 + 4.11844i −0.256901 + 0.148322i
\(772\) 36.9465 36.9465i 1.32973 1.32973i
\(773\) −5.17138 + 19.2999i −0.186002 + 0.694167i 0.808412 + 0.588617i \(0.200327\pi\)
−0.994414 + 0.105551i \(0.966339\pi\)
\(774\) −6.00804 + 22.4223i −0.215954 + 0.805953i