Properties

Label 210.3.w.b.17.16
Level 210
Weight 3
Character 210.17
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 17.16
Character \(\chi\) \(=\) 210.17
Dual form 210.3.w.b.173.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36603 + 0.366025i) q^{2} +(2.95132 - 0.538273i) q^{3} +(1.73205 + 1.00000i) q^{4} +(-2.52260 - 4.31700i) q^{5} +(4.22859 + 0.344962i) q^{6} +(0.692615 - 6.96565i) q^{7} +(2.00000 + 2.00000i) q^{8} +(8.42052 - 3.17723i) q^{9} +O(q^{10})\) \(q+(1.36603 + 0.366025i) q^{2} +(2.95132 - 0.538273i) q^{3} +(1.73205 + 1.00000i) q^{4} +(-2.52260 - 4.31700i) q^{5} +(4.22859 + 0.344962i) q^{6} +(0.692615 - 6.96565i) q^{7} +(2.00000 + 2.00000i) q^{8} +(8.42052 - 3.17723i) q^{9} +(-1.86581 - 6.82047i) q^{10} +(-3.24428 - 1.87308i) q^{11} +(5.65010 + 2.01900i) q^{12} +(5.63880 + 5.63880i) q^{13} +(3.49573 - 9.26174i) q^{14} +(-9.76872 - 11.3830i) q^{15} +(2.00000 + 3.46410i) q^{16} +(4.24716 - 1.13802i) q^{17} +(12.6656 - 1.25805i) q^{18} +(8.60142 + 14.8981i) q^{19} +(-0.0522811 - 9.99986i) q^{20} +(-1.70530 - 20.9306i) q^{21} +(-3.74617 - 3.74617i) q^{22} +(-9.56743 + 35.7061i) q^{23} +(6.97918 + 4.82608i) q^{24} +(-12.2729 + 21.7802i) q^{25} +(5.63880 + 9.76669i) q^{26} +(23.1414 - 13.9095i) q^{27} +(8.16529 - 11.3722i) q^{28} -29.5157 q^{29} +(-9.17787 - 19.1250i) q^{30} +(-11.0230 - 6.36411i) q^{31} +(1.46410 + 5.46410i) q^{32} +(-10.5831 - 3.78175i) q^{33} +6.21827 q^{34} +(-31.8179 + 14.5816i) q^{35} +(17.7620 + 2.91740i) q^{36} +(-6.31767 + 23.5779i) q^{37} +(6.29668 + 23.4995i) q^{38} +(19.6771 + 13.6067i) q^{39} +(3.58879 - 13.6792i) q^{40} +26.2318 q^{41} +(5.33167 - 29.2160i) q^{42} +(38.5379 - 38.5379i) q^{43} +(-3.74617 - 6.48855i) q^{44} +(-34.9577 - 28.3365i) q^{45} +(-26.1387 + 45.2736i) q^{46} +(7.31893 - 27.3146i) q^{47} +(7.76726 + 9.14711i) q^{48} +(-48.0406 - 9.64903i) q^{49} +(-24.7372 + 25.2600i) q^{50} +(11.9221 - 5.64480i) q^{51} +(4.12789 + 15.4055i) q^{52} +(-7.09618 + 1.90142i) q^{53} +(36.7030 - 10.5304i) q^{54} +(0.0979269 + 18.7306i) q^{55} +(15.3165 - 12.5461i) q^{56} +(33.4048 + 39.3391i) q^{57} +(-40.3193 - 10.8035i) q^{58} +(68.7458 + 39.6904i) q^{59} +(-5.53696 - 29.4846i) q^{60} +(-47.6402 + 27.5051i) q^{61} +(-12.7282 - 12.7282i) q^{62} +(-16.2993 - 60.8550i) q^{63} +8.00000i q^{64} +(10.1182 - 38.5672i) q^{65} +(-13.0726 - 9.03966i) q^{66} +(-79.7633 + 21.3725i) q^{67} +(8.49432 + 2.27605i) q^{68} +(-9.01685 + 110.530i) q^{69} +(-48.8013 + 8.27263i) q^{70} -86.9495i q^{71} +(23.1955 + 10.4866i) q^{72} +(9.35252 - 2.50600i) q^{73} +(-17.2602 + 29.8955i) q^{74} +(-24.4976 + 70.8863i) q^{75} +34.4057i q^{76} +(-15.2943 + 21.3012i) q^{77} +(21.8990 + 25.7894i) q^{78} +(-134.657 + 77.7444i) q^{79} +(9.90931 - 17.3726i) q^{80} +(60.8104 - 53.5078i) q^{81} +(35.8333 + 9.60151i) q^{82} +(-68.5558 + 68.5558i) q^{83} +(17.9770 - 37.9582i) q^{84} +(-15.6267 - 15.4642i) q^{85} +(66.7497 - 38.5379i) q^{86} +(-87.1103 + 15.8875i) q^{87} +(-2.74239 - 10.2347i) q^{88} +(94.3451 - 54.4701i) q^{89} +(-37.3813 - 51.5038i) q^{90} +(43.1835 - 35.3724i) q^{91} +(-52.2774 + 52.2774i) q^{92} +(-35.9578 - 12.8491i) q^{93} +(19.9957 - 34.6336i) q^{94} +(42.6171 - 74.7144i) q^{95} +(7.26220 + 15.3382i) q^{96} +(-17.8295 + 17.8295i) q^{97} +(-62.0928 - 30.7649i) q^{98} +(-33.2697 - 5.46454i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + O(q^{10}) \) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + 24q^{10} - 12q^{12} + 16q^{14} + 68q^{15} + 128q^{16} - 12q^{18} + 36q^{21} + 16q^{22} + 12q^{23} - 16q^{25} + 8q^{28} + 112q^{29} + 22q^{30} - 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} - 24q^{38} - 64q^{39} - 88q^{42} + 32q^{43} + 16q^{44} - 474q^{45} - 24q^{46} + 96q^{47} - 40q^{50} - 84q^{51} - 56q^{53} + 72q^{54} - 220q^{57} + 56q^{58} - 672q^{59} + 24q^{60} + 600q^{61} - 114q^{63} - 28q^{65} + 16q^{67} + 40q^{72} - 624q^{73} + 64q^{74} - 144q^{75} - 208q^{77} - 248q^{78} + 48q^{80} - 64q^{81} - 192q^{82} - 160q^{84} - 152q^{85} - 672q^{87} - 16q^{88} - 144q^{89} - 232q^{91} - 48q^{92} - 202q^{93} - 136q^{95} - 48q^{96} - 128q^{98} - 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36603 + 0.366025i 0.683013 + 0.183013i
\(3\) 2.95132 0.538273i 0.983772 0.179424i
\(4\) 1.73205 + 1.00000i 0.433013 + 0.250000i
\(5\) −2.52260 4.31700i −0.504521 0.863400i
\(6\) 4.22859 + 0.344962i 0.704766 + 0.0574936i
\(7\) 0.692615 6.96565i 0.0989450 0.995093i
\(8\) 2.00000 + 2.00000i 0.250000 + 0.250000i
\(9\) 8.42052 3.17723i 0.935614 0.353025i
\(10\) −1.86581 6.82047i −0.186581 0.682047i
\(11\) −3.24428 1.87308i −0.294934 0.170280i 0.345231 0.938518i \(-0.387801\pi\)
−0.640165 + 0.768237i \(0.721134\pi\)
\(12\) 5.65010 + 2.01900i 0.470842 + 0.168250i
\(13\) 5.63880 + 5.63880i 0.433754 + 0.433754i 0.889903 0.456149i \(-0.150772\pi\)
−0.456149 + 0.889903i \(0.650772\pi\)
\(14\) 3.49573 9.26174i 0.249695 0.661553i
\(15\) −9.76872 11.3830i −0.651248 0.758865i
\(16\) 2.00000 + 3.46410i 0.125000 + 0.216506i
\(17\) 4.24716 1.13802i 0.249833 0.0669425i −0.131729 0.991286i \(-0.542053\pi\)
0.381562 + 0.924343i \(0.375386\pi\)
\(18\) 12.6656 1.25805i 0.703644 0.0698916i
\(19\) 8.60142 + 14.8981i 0.452707 + 0.784111i 0.998553 0.0537744i \(-0.0171252\pi\)
−0.545847 + 0.837885i \(0.683792\pi\)
\(20\) −0.0522811 9.99986i −0.00261406 0.499993i
\(21\) −1.70530 20.9306i −0.0812046 0.996697i
\(22\) −3.74617 3.74617i −0.170280 0.170280i
\(23\) −9.56743 + 35.7061i −0.415975 + 1.55244i 0.366899 + 0.930261i \(0.380420\pi\)
−0.782874 + 0.622180i \(0.786247\pi\)
\(24\) 6.97918 + 4.82608i 0.290799 + 0.201087i
\(25\) −12.2729 + 21.7802i −0.490917 + 0.871206i
\(26\) 5.63880 + 9.76669i 0.216877 + 0.375642i
\(27\) 23.1414 13.9095i 0.857089 0.515168i
\(28\) 8.16529 11.3722i 0.291618 0.406152i
\(29\) −29.5157 −1.01778 −0.508892 0.860830i \(-0.669945\pi\)
−0.508892 + 0.860830i \(0.669945\pi\)
\(30\) −9.17787 19.1250i −0.305929 0.637501i
\(31\) −11.0230 6.36411i −0.355579 0.205294i 0.311561 0.950226i \(-0.399148\pi\)
−0.667140 + 0.744933i \(0.732482\pi\)
\(32\) 1.46410 + 5.46410i 0.0457532 + 0.170753i
\(33\) −10.5831 3.78175i −0.320700 0.114599i
\(34\) 6.21827 0.182890
\(35\) −31.8179 + 14.5816i −0.909083 + 0.416616i
\(36\) 17.7620 + 2.91740i 0.493389 + 0.0810390i
\(37\) −6.31767 + 23.5779i −0.170748 + 0.637240i 0.826489 + 0.562953i \(0.190335\pi\)
−0.997237 + 0.0742870i \(0.976332\pi\)
\(38\) 6.29668 + 23.4995i 0.165702 + 0.618409i
\(39\) 19.6771 + 13.6067i 0.504541 + 0.348889i
\(40\) 3.58879 13.6792i 0.0897197 0.341980i
\(41\) 26.2318 0.639800 0.319900 0.947451i \(-0.396351\pi\)
0.319900 + 0.947451i \(0.396351\pi\)
\(42\) 5.33167 29.2160i 0.126944 0.695618i
\(43\) 38.5379 38.5379i 0.896231 0.896231i −0.0988691 0.995100i \(-0.531522\pi\)
0.995100 + 0.0988691i \(0.0315225\pi\)
\(44\) −3.74617 6.48855i −0.0851402 0.147467i
\(45\) −34.9577 28.3365i −0.776839 0.629700i
\(46\) −26.1387 + 45.2736i −0.568233 + 0.984208i
\(47\) 7.31893 27.3146i 0.155722 0.581162i −0.843321 0.537411i \(-0.819402\pi\)
0.999042 0.0437512i \(-0.0139309\pi\)
\(48\) 7.76726 + 9.14711i 0.161818 + 0.190565i
\(49\) −48.0406 9.64903i −0.980420 0.196919i
\(50\) −24.7372 + 25.2600i −0.494745 + 0.505201i
\(51\) 11.9221 5.64480i 0.233767 0.110682i
\(52\) 4.12789 + 15.4055i 0.0793825 + 0.296260i
\(53\) −7.09618 + 1.90142i −0.133890 + 0.0358758i −0.325142 0.945665i \(-0.605412\pi\)
0.191252 + 0.981541i \(0.438745\pi\)
\(54\) 36.7030 10.5304i 0.679685 0.195008i
\(55\) 0.0979269 + 18.7306i 0.00178049 + 0.340556i
\(56\) 15.3165 12.5461i 0.273509 0.224037i
\(57\) 33.4048 + 39.3391i 0.586049 + 0.690159i
\(58\) −40.3193 10.8035i −0.695160 0.186267i
\(59\) 68.7458 + 39.6904i 1.16518 + 0.672719i 0.952541 0.304411i \(-0.0984596\pi\)
0.212643 + 0.977130i \(0.431793\pi\)
\(60\) −5.53696 29.4846i −0.0922826 0.491410i
\(61\) −47.6402 + 27.5051i −0.780987 + 0.450903i −0.836780 0.547539i \(-0.815565\pi\)
0.0557927 + 0.998442i \(0.482231\pi\)
\(62\) −12.7282 12.7282i −0.205294 0.205294i
\(63\) −16.2993 60.8550i −0.258719 0.965953i
\(64\) 8.00000i 0.125000i
\(65\) 10.1182 38.5672i 0.155665 0.593341i
\(66\) −13.0726 9.03966i −0.198070 0.136965i
\(67\) −79.7633 + 21.3725i −1.19050 + 0.318993i −0.799082 0.601222i \(-0.794681\pi\)
−0.391415 + 0.920214i \(0.628014\pi\)
\(68\) 8.49432 + 2.27605i 0.124916 + 0.0334713i
\(69\) −9.01685 + 110.530i −0.130679 + 1.60188i
\(70\) −48.8013 + 8.27263i −0.697161 + 0.118180i
\(71\) 86.9495i 1.22464i −0.790610 0.612320i \(-0.790236\pi\)
0.790610 0.612320i \(-0.209764\pi\)
\(72\) 23.1955 + 10.4866i 0.322160 + 0.145647i
\(73\) 9.35252 2.50600i 0.128117 0.0343288i −0.194191 0.980964i \(-0.562208\pi\)
0.322308 + 0.946635i \(0.395541\pi\)
\(74\) −17.2602 + 29.8955i −0.233246 + 0.403994i
\(75\) −24.4976 + 70.8863i −0.326635 + 0.945151i
\(76\) 34.4057i 0.452707i
\(77\) −15.2943 + 21.3012i −0.198627 + 0.276639i
\(78\) 21.8990 + 25.7894i 0.280757 + 0.330633i
\(79\) −134.657 + 77.7444i −1.70452 + 0.984106i −0.763471 + 0.645842i \(0.776507\pi\)
−0.941051 + 0.338265i \(0.890160\pi\)
\(80\) 9.90931 17.3726i 0.123866 0.217157i
\(81\) 60.8104 53.5078i 0.750746 0.660591i
\(82\) 35.8333 + 9.60151i 0.436992 + 0.117092i
\(83\) −68.5558 + 68.5558i −0.825974 + 0.825974i −0.986957 0.160983i \(-0.948533\pi\)
0.160983 + 0.986957i \(0.448533\pi\)
\(84\) 17.9770 37.9582i 0.214012 0.451884i
\(85\) −15.6267 15.4642i −0.183844 0.181932i
\(86\) 66.7497 38.5379i 0.776159 0.448116i
\(87\) −87.1103 + 15.8875i −1.00127 + 0.182615i
\(88\) −2.74239 10.2347i −0.0311635 0.116304i
\(89\) 94.3451 54.4701i 1.06006 0.612024i 0.134609 0.990899i \(-0.457022\pi\)
0.925448 + 0.378875i \(0.123689\pi\)
\(90\) −37.3813 51.5038i −0.415348 0.572264i
\(91\) 43.1835 35.3724i 0.474543 0.388708i
\(92\) −52.2774 + 52.2774i −0.568233 + 0.568233i
\(93\) −35.9578 12.8491i −0.386644 0.138163i
\(94\) 19.9957 34.6336i 0.212720 0.368442i
\(95\) 42.6171 74.7144i 0.448601 0.786467i
\(96\) 7.26220 + 15.3382i 0.0756480 + 0.159773i
\(97\) −17.8295 + 17.8295i −0.183810 + 0.183810i −0.793014 0.609204i \(-0.791489\pi\)
0.609204 + 0.793014i \(0.291489\pi\)
\(98\) −62.0928 30.7649i −0.633600 0.313927i
\(99\) −33.2697 5.46454i −0.336058 0.0551974i
\(100\) −43.0375 + 25.4514i −0.430375 + 0.254514i
\(101\) 90.8819 157.412i 0.899821 1.55854i 0.0720991 0.997397i \(-0.477030\pi\)
0.827722 0.561138i \(-0.189636\pi\)
\(102\) 18.3521 3.34713i 0.179922 0.0328150i
\(103\) −24.1275 + 90.0449i −0.234247 + 0.874222i 0.744240 + 0.667913i \(0.232812\pi\)
−0.978487 + 0.206310i \(0.933855\pi\)
\(104\) 22.5552i 0.216877i
\(105\) −86.0558 + 60.1615i −0.819579 + 0.572967i
\(106\) −10.3895 −0.0980145
\(107\) −149.820 40.1442i −1.40019 0.375180i −0.521777 0.853082i \(-0.674731\pi\)
−0.878413 + 0.477902i \(0.841397\pi\)
\(108\) 53.9916 0.950631i 0.499923 0.00880214i
\(109\) 87.0240 + 50.2433i 0.798385 + 0.460948i 0.842906 0.538061i \(-0.180843\pi\)
−0.0445210 + 0.999008i \(0.514176\pi\)
\(110\) −6.72210 + 25.6223i −0.0611100 + 0.232930i
\(111\) −5.95411 + 72.9864i −0.0536406 + 0.657535i
\(112\) 25.5150 11.5320i 0.227812 0.102964i
\(113\) 123.013 + 123.013i 1.08861 + 1.08861i 0.995672 + 0.0929363i \(0.0296253\pi\)
0.0929363 + 0.995672i \(0.470375\pi\)
\(114\) 31.2327 + 65.9652i 0.273971 + 0.578642i
\(115\) 178.278 48.7699i 1.55025 0.424086i
\(116\) −51.1228 29.5157i −0.440714 0.254446i
\(117\) 65.3974 + 29.5659i 0.558953 + 0.252700i
\(118\) 79.3808 + 79.3808i 0.672719 + 0.672719i
\(119\) −4.98542 30.3724i −0.0418943 0.255231i
\(120\) 3.22849 42.3034i 0.0269041 0.352528i
\(121\) −53.4831 92.6355i −0.442009 0.765582i
\(122\) −75.1453 + 20.1351i −0.615945 + 0.165042i
\(123\) 77.4183 14.1199i 0.629417 0.114796i
\(124\) −12.7282 22.0459i −0.102647 0.177790i
\(125\) 124.985 1.96047i 0.999877 0.0156838i
\(126\) 0.00925814 89.0955i 7.34773e−5 0.707107i
\(127\) −102.528 102.528i −0.807305 0.807305i 0.176920 0.984225i \(-0.443386\pi\)
−0.984225 + 0.176920i \(0.943386\pi\)
\(128\) −2.92820 + 10.9282i −0.0228766 + 0.0853766i
\(129\) 92.9937 134.482i 0.720881 1.04249i
\(130\) 27.9383 48.9802i 0.214910 0.376771i
\(131\) 21.6471 + 37.4939i 0.165245 + 0.286213i 0.936742 0.350020i \(-0.113825\pi\)
−0.771497 + 0.636233i \(0.780492\pi\)
\(132\) −14.5487 17.1333i −0.110218 0.129798i
\(133\) 109.732 49.5959i 0.825056 0.372901i
\(134\) −116.782 −0.871504
\(135\) −118.424 64.8131i −0.877215 0.480097i
\(136\) 10.7704 + 6.21827i 0.0791939 + 0.0457226i
\(137\) 30.6444 + 114.366i 0.223682 + 0.834791i 0.982928 + 0.183988i \(0.0589008\pi\)
−0.759247 + 0.650803i \(0.774433\pi\)
\(138\) −52.7740 + 147.686i −0.382421 + 1.07019i
\(139\) 257.537 1.85278 0.926391 0.376563i \(-0.122894\pi\)
0.926391 + 0.376563i \(0.122894\pi\)
\(140\) −69.6918 6.56188i −0.497798 0.0468706i
\(141\) 6.89774 84.5536i 0.0489202 0.599671i
\(142\) 31.8257 118.775i 0.224125 0.836445i
\(143\) −7.73189 28.8558i −0.0540691 0.201789i
\(144\) 27.8473 + 22.8151i 0.193384 + 0.158438i
\(145\) 74.4565 + 127.419i 0.513493 + 0.878755i
\(146\) 13.6930 0.0937879
\(147\) −146.977 2.61837i −0.999841 0.0178121i
\(148\) −34.5204 + 34.5204i −0.233246 + 0.233246i
\(149\) 80.2081 + 138.925i 0.538309 + 0.932379i 0.998995 + 0.0448160i \(0.0142702\pi\)
−0.460686 + 0.887563i \(0.652397\pi\)
\(150\) −59.4106 + 87.8657i −0.396070 + 0.585771i
\(151\) 93.7262 162.338i 0.620703 1.07509i −0.368652 0.929567i \(-0.620181\pi\)
0.989355 0.145522i \(-0.0464861\pi\)
\(152\) −12.5934 + 46.9991i −0.0828511 + 0.309204i
\(153\) 32.1476 23.0769i 0.210115 0.150830i
\(154\) −28.6892 + 23.4998i −0.186293 + 0.152596i
\(155\) 0.332722 + 63.6402i 0.00214660 + 0.410582i
\(156\) 20.4751 + 43.2446i 0.131250 + 0.277209i
\(157\) 0.0276015 + 0.103010i 0.000175806 + 0.000656117i 0.966014 0.258491i \(-0.0832252\pi\)
−0.965838 + 0.259147i \(0.916559\pi\)
\(158\) −212.402 + 56.9129i −1.34431 + 0.360208i
\(159\) −19.9196 + 9.43137i −0.125280 + 0.0593168i
\(160\) 19.8952 20.1043i 0.124345 0.125652i
\(161\) 242.090 + 91.3740i 1.50366 + 0.567540i
\(162\) 102.654 50.8349i 0.633666 0.313796i
\(163\) −243.194 65.1637i −1.49199 0.399778i −0.581582 0.813488i \(-0.697566\pi\)
−0.910409 + 0.413710i \(0.864233\pi\)
\(164\) 45.4348 + 26.2318i 0.277042 + 0.159950i
\(165\) 10.3712 + 55.2272i 0.0628557 + 0.334710i
\(166\) −118.742 + 68.5558i −0.715314 + 0.412987i
\(167\) −179.100 179.100i −1.07245 1.07245i −0.997162 0.0752919i \(-0.976011\pi\)
−0.0752919 0.997162i \(-0.523989\pi\)
\(168\) 38.4507 45.2719i 0.228873 0.269476i
\(169\) 105.408i 0.623715i
\(170\) −15.6862 26.8443i −0.0922720 0.157908i
\(171\) 119.763 + 98.1212i 0.700369 + 0.573808i
\(172\) 105.288 28.2117i 0.612137 0.164022i
\(173\) −73.5490 19.7074i −0.425139 0.113916i 0.0399046 0.999203i \(-0.487295\pi\)
−0.465043 + 0.885288i \(0.653961\pi\)
\(174\) −124.810 10.1818i −0.717299 0.0585161i
\(175\) 143.213 + 100.574i 0.818357 + 0.574710i
\(176\) 14.9847i 0.0851402i
\(177\) 224.255 + 80.1349i 1.26698 + 0.452740i
\(178\) 148.815 39.8749i 0.836041 0.224016i
\(179\) 170.766 295.775i 0.953998 1.65237i 0.217354 0.976093i \(-0.430257\pi\)
0.736644 0.676281i \(-0.236409\pi\)
\(180\) −32.2121 84.0380i −0.178956 0.466878i
\(181\) 139.336i 0.769813i −0.922956 0.384907i \(-0.874234\pi\)
0.922956 0.384907i \(-0.125766\pi\)
\(182\) 71.9369 32.5134i 0.395258 0.178645i
\(183\) −125.796 + 106.820i −0.687410 + 0.583714i
\(184\) −90.5472 + 52.2774i −0.492104 + 0.284116i
\(185\) 117.723 32.2043i 0.636338 0.174077i
\(186\) −44.4162 30.7137i −0.238797 0.165127i
\(187\) −15.9106 4.26323i −0.0850833 0.0227980i
\(188\) 39.9914 39.9914i 0.212720 0.212720i
\(189\) −80.8609 170.829i −0.427836 0.903857i
\(190\) 85.5634 86.4628i 0.450334 0.455067i
\(191\) −87.2796 + 50.3909i −0.456961 + 0.263827i −0.710766 0.703429i \(-0.751651\pi\)
0.253804 + 0.967256i \(0.418318\pi\)
\(192\) 4.30619 + 23.6105i 0.0224280 + 0.122971i
\(193\) 7.05482 + 26.3290i 0.0365535 + 0.136419i 0.981791 0.189963i \(-0.0608369\pi\)
−0.945238 + 0.326383i \(0.894170\pi\)
\(194\) −30.8817 + 17.8295i −0.159184 + 0.0919049i
\(195\) 9.10242 119.270i 0.0466791 0.611642i
\(196\) −73.5597 64.7532i −0.375304 0.330373i
\(197\) 176.862 176.862i 0.897779 0.897779i −0.0974606 0.995239i \(-0.531072\pi\)
0.995239 + 0.0974606i \(0.0310720\pi\)
\(198\) −43.4471 19.6423i −0.219430 0.0992034i
\(199\) −4.04297 + 7.00263i −0.0203164 + 0.0351891i −0.876005 0.482302i \(-0.839801\pi\)
0.855688 + 0.517491i \(0.173134\pi\)
\(200\) −68.1062 + 19.0144i −0.340531 + 0.0950722i
\(201\) −223.902 + 106.011i −1.11394 + 0.527420i
\(202\) 181.764 181.764i 0.899821 0.899821i
\(203\) −20.4431 + 205.596i −0.100705 + 1.01279i
\(204\) 26.2946 + 2.14507i 0.128895 + 0.0105150i
\(205\) −66.1725 113.243i −0.322793 0.552403i
\(206\) −65.9175 + 114.172i −0.319988 + 0.554235i
\(207\) 32.8838 + 331.062i 0.158859 + 1.59934i
\(208\) −8.25578 + 30.8110i −0.0396913 + 0.148130i
\(209\) 64.4448i 0.308348i
\(210\) −139.575 + 50.6835i −0.664643 + 0.241350i
\(211\) 65.2730 0.309351 0.154675 0.987965i \(-0.450567\pi\)
0.154675 + 0.987965i \(0.450567\pi\)
\(212\) −14.1924 3.80283i −0.0669451 0.0179379i
\(213\) −46.8026 256.615i −0.219730 1.20477i
\(214\) −189.965 109.676i −0.887685 0.512505i
\(215\) −263.584 69.1522i −1.22597 0.321638i
\(216\) 74.1019 + 18.4637i 0.343064 + 0.0854802i
\(217\) −51.9648 + 72.3742i −0.239469 + 0.333522i
\(218\) 100.487 + 100.487i 0.460948 + 0.460948i
\(219\) 26.2533 12.4302i 0.119878 0.0567589i
\(220\) −18.5610 + 32.5403i −0.0843681 + 0.147910i
\(221\) 30.3660 + 17.5318i 0.137403 + 0.0793295i
\(222\) −34.8483 + 97.5219i −0.156974 + 0.439288i
\(223\) −6.16064 6.16064i −0.0276262 0.0276262i 0.693159 0.720785i \(-0.256218\pi\)
−0.720785 + 0.693159i \(0.756218\pi\)
\(224\) 39.0751 6.41390i 0.174442 0.0286335i
\(225\) −34.1440 + 222.394i −0.151751 + 0.988419i
\(226\) 123.013 + 213.064i 0.544304 + 0.942762i
\(227\) −17.8986 + 4.79592i −0.0788485 + 0.0211274i −0.298028 0.954557i \(-0.596329\pi\)
0.219179 + 0.975685i \(0.429662\pi\)
\(228\) 18.5197 + 101.542i 0.0812266 + 0.445360i
\(229\) 79.1498 + 137.092i 0.345633 + 0.598653i 0.985468 0.169858i \(-0.0543310\pi\)
−0.639836 + 0.768512i \(0.720998\pi\)
\(230\) 261.384 1.36656i 1.13645 0.00594157i
\(231\) −33.6724 + 71.0990i −0.145768 + 0.307788i
\(232\) −59.0315 59.0315i −0.254446 0.254446i
\(233\) −40.1774 + 149.944i −0.172435 + 0.643536i 0.824539 + 0.565805i \(0.191434\pi\)
−0.996974 + 0.0777315i \(0.975232\pi\)
\(234\) 78.5127 + 64.3249i 0.335524 + 0.274893i
\(235\) −136.380 + 37.3082i −0.580340 + 0.158758i
\(236\) 79.3808 + 137.492i 0.336360 + 0.582592i
\(237\) −355.568 + 301.931i −1.50029 + 1.27397i
\(238\) 4.30687 43.3143i 0.0180961 0.181993i
\(239\) −370.794 −1.55144 −0.775720 0.631078i \(-0.782613\pi\)
−0.775720 + 0.631078i \(0.782613\pi\)
\(240\) 19.8943 56.6058i 0.0828930 0.235857i
\(241\) 148.156 + 85.5377i 0.614754 + 0.354928i 0.774824 0.632177i \(-0.217839\pi\)
−0.160070 + 0.987106i \(0.551172\pi\)
\(242\) −39.1524 146.119i −0.161787 0.603796i
\(243\) 150.669 190.651i 0.620037 0.784573i
\(244\) −110.020 −0.450903
\(245\) 79.5325 + 231.732i 0.324622 + 0.945844i
\(246\) 110.924 + 9.04897i 0.450909 + 0.0367844i
\(247\) −35.5057 + 132.509i −0.143748 + 0.536475i
\(248\) −9.31770 34.7741i −0.0375714 0.140218i
\(249\) −165.428 + 239.232i −0.664370 + 0.960770i
\(250\) 171.450 + 43.0695i 0.685799 + 0.172278i
\(251\) −423.501 −1.68725 −0.843627 0.536930i \(-0.819584\pi\)
−0.843627 + 0.536930i \(0.819584\pi\)
\(252\) 32.6238 121.703i 0.129460 0.482949i
\(253\) 97.9200 97.9200i 0.387036 0.387036i
\(254\) −102.528 177.583i −0.403652 0.699146i
\(255\) −54.4434 37.2283i −0.213504 0.145993i
\(256\) −8.00000 + 13.8564i −0.0312500 + 0.0541266i
\(257\) −34.3610 + 128.237i −0.133701 + 0.498977i −1.00000 0.000548025i \(-0.999826\pi\)
0.866299 + 0.499525i \(0.166492\pi\)
\(258\) 176.255 149.667i 0.683161 0.580105i
\(259\) 159.860 + 60.3371i 0.617218 + 0.232962i
\(260\) 56.0925 56.6821i 0.215740 0.218008i
\(261\) −248.538 + 93.7783i −0.952253 + 0.359304i
\(262\) 15.8468 + 59.1410i 0.0604840 + 0.225729i
\(263\) −89.9104 + 24.0914i −0.341865 + 0.0916023i −0.425667 0.904880i \(-0.639960\pi\)
0.0838020 + 0.996482i \(0.473294\pi\)
\(264\) −13.6027 28.7297i −0.0515255 0.108825i
\(265\) 26.1093 + 25.8377i 0.0985256 + 0.0975007i
\(266\) 168.051 27.5843i 0.631769 0.103701i
\(267\) 249.122 211.542i 0.933042 0.792292i
\(268\) −159.527 42.7450i −0.595249 0.159496i
\(269\) −248.794 143.641i −0.924885 0.533982i −0.0396946 0.999212i \(-0.512639\pi\)
−0.885190 + 0.465229i \(0.845972\pi\)
\(270\) −138.047 131.883i −0.511285 0.488454i
\(271\) 74.1622 42.8176i 0.273661 0.157998i −0.356889 0.934147i \(-0.616163\pi\)
0.630550 + 0.776148i \(0.282829\pi\)
\(272\) 12.4365 + 12.4365i 0.0457226 + 0.0457226i
\(273\) 108.408 127.640i 0.397099 0.467544i
\(274\) 167.444i 0.611109i
\(275\) 80.6129 47.6726i 0.293138 0.173355i
\(276\) −126.148 + 182.427i −0.457057 + 0.660966i
\(277\) −171.196 + 45.8720i −0.618038 + 0.165603i −0.554236 0.832360i \(-0.686989\pi\)
−0.0638022 + 0.997963i \(0.520323\pi\)
\(278\) 351.802 + 94.2650i 1.26547 + 0.339083i
\(279\) −113.039 18.5667i −0.405159 0.0665472i
\(280\) −92.7989 34.4727i −0.331425 0.123117i
\(281\) 318.359i 1.13295i 0.824079 + 0.566475i \(0.191693\pi\)
−0.824079 + 0.566475i \(0.808307\pi\)
\(282\) 40.3713 112.978i 0.143161 0.400630i
\(283\) −414.479 + 111.059i −1.46459 + 0.392436i −0.901073 0.433668i \(-0.857219\pi\)
−0.563518 + 0.826104i \(0.690552\pi\)
\(284\) 86.9495 150.601i 0.306160 0.530285i
\(285\) 85.5597 243.445i 0.300210 0.854194i
\(286\) 42.2478i 0.147720i
\(287\) 18.1685 182.722i 0.0633050 0.636661i
\(288\) 29.6892 + 41.3588i 0.103087 + 0.143607i
\(289\) −233.538 + 134.833i −0.808090 + 0.466551i
\(290\) 55.0708 + 201.311i 0.189899 + 0.694176i
\(291\) −43.0234 + 62.2178i −0.147847 + 0.213807i
\(292\) 18.7050 + 5.01200i 0.0640583 + 0.0171644i
\(293\) −100.146 + 100.146i −0.341794 + 0.341794i −0.857041 0.515247i \(-0.827700\pi\)
0.515247 + 0.857041i \(0.327700\pi\)
\(294\) −199.815 57.3740i −0.679645 0.195150i
\(295\) −2.07506 396.899i −0.00703410 1.34542i
\(296\) −59.7911 + 34.5204i −0.201997 + 0.116623i
\(297\) −101.131 + 1.78061i −0.340508 + 0.00599533i
\(298\) 58.7164 + 219.133i 0.197035 + 0.735344i
\(299\) −255.289 + 147.391i −0.853809 + 0.492947i
\(300\) −113.317 + 98.2810i −0.377725 + 0.327603i
\(301\) −241.750 295.134i −0.803156 0.980511i
\(302\) 187.452 187.452i 0.620703 0.620703i
\(303\) 183.491 513.492i 0.605579 1.69469i
\(304\) −34.4057 + 59.5924i −0.113177 + 0.196028i
\(305\) 238.917 + 136.278i 0.783334 + 0.446814i
\(306\) 52.3611 19.7569i 0.171115 0.0645649i
\(307\) 144.662 144.662i 0.471211 0.471211i −0.431095 0.902306i \(-0.641873\pi\)
0.902306 + 0.431095i \(0.141873\pi\)
\(308\) −47.7917 + 21.6004i −0.155168 + 0.0701313i
\(309\) −22.7390 + 278.738i −0.0735889 + 0.902065i
\(310\) −22.8394 + 87.0559i −0.0736756 + 0.280826i
\(311\) 134.123 232.309i 0.431265 0.746973i −0.565717 0.824599i \(-0.691401\pi\)
0.996983 + 0.0776260i \(0.0247340\pi\)
\(312\) 12.1409 + 66.5676i 0.0389130 + 0.213358i
\(313\) 121.681 454.120i 0.388757 1.45086i −0.443400 0.896324i \(-0.646228\pi\)
0.832158 0.554539i \(-0.187105\pi\)
\(314\) 0.150818i 0.000480311i
\(315\) −221.594 + 223.877i −0.703474 + 0.710721i
\(316\) −310.978 −0.984106
\(317\) 257.801 + 69.0776i 0.813253 + 0.217910i 0.641394 0.767211i \(-0.278356\pi\)
0.171858 + 0.985122i \(0.445023\pi\)
\(318\) −30.6628 + 5.59241i −0.0964239 + 0.0175862i
\(319\) 95.7573 + 55.2855i 0.300180 + 0.173309i
\(320\) 34.5360 20.1808i 0.107925 0.0630651i
\(321\) −463.776 37.8340i −1.44478 0.117863i
\(322\) 297.256 + 213.430i 0.923155 + 0.662827i
\(323\) 53.4860 + 53.4860i 0.165591 + 0.165591i
\(324\) 158.835 31.8679i 0.490230 0.0983576i
\(325\) −192.019 + 53.6093i −0.590827 + 0.164952i
\(326\) −308.358 178.031i −0.945884 0.546106i
\(327\) 283.880 + 101.441i 0.868134 + 0.310218i
\(328\) 52.4636 + 52.4636i 0.159950 + 0.159950i
\(329\) −185.195 69.8996i −0.562902 0.212461i
\(330\) −6.04724 + 79.2378i −0.0183250 + 0.240115i
\(331\) 206.482 + 357.637i 0.623811 + 1.08047i 0.988769 + 0.149449i \(0.0477500\pi\)
−0.364958 + 0.931024i \(0.618917\pi\)
\(332\) −187.298 + 50.1864i −0.564151 + 0.151164i
\(333\) 21.7142 + 218.611i 0.0652077 + 0.656489i
\(334\) −179.100 310.210i −0.536227 0.928772i
\(335\) 293.476 + 290.424i 0.876049 + 0.866936i
\(336\) 69.0953 47.7686i 0.205641 0.142169i
\(337\) 9.78615 + 9.78615i 0.0290390 + 0.0290390i 0.721477 0.692438i \(-0.243463\pi\)
−0.692438 + 0.721477i \(0.743463\pi\)
\(338\) 38.5819 143.990i 0.114148 0.426005i
\(339\) 429.264 + 296.835i 1.26627 + 0.875619i
\(340\) −11.6021 42.4115i −0.0341239 0.124740i
\(341\) 23.8410 + 41.2939i 0.0699150 + 0.121096i
\(342\) 127.685 + 177.872i 0.373347 + 0.520095i
\(343\) −100.485 + 327.951i −0.292960 + 0.956125i
\(344\) 154.152 0.448116
\(345\) 499.904 239.898i 1.44900 0.695356i
\(346\) −93.2564 53.8416i −0.269527 0.155612i
\(347\) 74.2461 + 277.090i 0.213966 + 0.798530i 0.986528 + 0.163592i \(0.0523080\pi\)
−0.772563 + 0.634939i \(0.781025\pi\)
\(348\) −166.767 59.5923i −0.479215 0.171242i
\(349\) 494.587 1.41715 0.708577 0.705633i \(-0.249337\pi\)
0.708577 + 0.705633i \(0.249337\pi\)
\(350\) 158.819 + 189.806i 0.453769 + 0.542304i
\(351\) 208.923 + 52.0567i 0.595222 + 0.148310i
\(352\) 5.48477 20.4694i 0.0155817 0.0581518i
\(353\) −160.565 599.237i −0.454859 1.69756i −0.688503 0.725233i \(-0.741732\pi\)
0.233644 0.972322i \(-0.424935\pi\)
\(354\) 277.006 + 191.549i 0.782504 + 0.541100i
\(355\) −375.361 + 219.339i −1.05735 + 0.617857i
\(356\) 217.881 0.612024
\(357\) −31.0622 86.9551i −0.0870091 0.243572i
\(358\) 341.531 341.531i 0.953998 0.953998i
\(359\) −134.178 232.404i −0.373756 0.647364i 0.616384 0.787446i \(-0.288597\pi\)
−0.990140 + 0.140081i \(0.955264\pi\)
\(360\) −13.2425 126.588i −0.0367847 0.351635i
\(361\) 32.5310 56.3453i 0.0901135 0.156081i
\(362\) 51.0006 190.337i 0.140886 0.525792i
\(363\) −207.709 244.608i −0.572200 0.673851i
\(364\) 110.168 18.0834i 0.302660 0.0496796i
\(365\) −34.4111 34.0532i −0.0942770 0.0932963i
\(366\) −210.939 + 99.8738i −0.576337 + 0.272879i
\(367\) −62.5507 233.442i −0.170438 0.636083i −0.997284 0.0736543i \(-0.976534\pi\)
0.826846 0.562428i \(-0.190133\pi\)
\(368\) −142.825 + 38.2697i −0.388110 + 0.103994i
\(369\) 220.886 83.3444i 0.598606 0.225866i
\(370\) 172.600 0.902382i 0.466486 0.00243887i
\(371\) 8.32968 + 50.7465i 0.0224520 + 0.136783i
\(372\) −49.4317 58.2132i −0.132881 0.156487i
\(373\) 625.194 + 167.520i 1.67612 + 0.449116i 0.966751 0.255719i \(-0.0823120\pi\)
0.709372 + 0.704834i \(0.248979\pi\)
\(374\) −20.1738 11.6474i −0.0539407 0.0311427i
\(375\) 367.814 73.0618i 0.980837 0.194832i
\(376\) 69.2671 39.9914i 0.184221 0.106360i
\(377\) −166.434 166.434i −0.441468 0.441468i
\(378\) −47.9304 262.954i −0.126800 0.695645i
\(379\) 176.481i 0.465649i −0.972519 0.232824i \(-0.925203\pi\)
0.972519 0.232824i \(-0.0747968\pi\)
\(380\) 148.529 86.7920i 0.390867 0.228400i
\(381\) −357.779 247.404i −0.939054 0.649353i
\(382\) −137.671 + 36.8887i −0.360394 + 0.0965673i
\(383\) −465.776 124.804i −1.21613 0.325860i −0.406963 0.913445i \(-0.633412\pi\)
−0.809163 + 0.587585i \(0.800079\pi\)
\(384\) −2.75969 + 33.8287i −0.00718670 + 0.0880957i
\(385\) 130.539 + 12.2910i 0.339061 + 0.0319246i
\(386\) 38.5483i 0.0998660i
\(387\) 202.066 446.954i 0.522134 1.15492i
\(388\) −48.7112 + 13.0521i −0.125544 + 0.0336395i
\(389\) 276.163 478.329i 0.709931 1.22964i −0.254951 0.966954i \(-0.582059\pi\)
0.964882 0.262683i \(-0.0846073\pi\)
\(390\) 56.0901 159.594i 0.143821 0.409217i
\(391\) 162.538i 0.415697i
\(392\) −76.7831 115.379i −0.195875 0.294335i
\(393\) 84.0695 + 99.0043i 0.213917 + 0.251919i
\(394\) 306.335 176.862i 0.777499 0.448889i
\(395\) 675.309 + 385.197i 1.70964 + 0.975182i
\(396\) −52.1603 42.7346i −0.131718 0.107916i
\(397\) −162.344 43.4998i −0.408926 0.109571i 0.0484914 0.998824i \(-0.484559\pi\)
−0.457417 + 0.889252i \(0.651225\pi\)
\(398\) −8.08594 + 8.08594i −0.0203164 + 0.0203164i
\(399\) 297.159 205.439i 0.744759 0.514885i
\(400\) −99.9945 + 1.04561i −0.249986 + 0.00261402i
\(401\) −143.692 + 82.9605i −0.358334 + 0.206884i −0.668350 0.743847i \(-0.732999\pi\)
0.310016 + 0.950731i \(0.399666\pi\)
\(402\) −344.659 + 62.8604i −0.857361 + 0.156369i
\(403\) −26.2703 98.0422i −0.0651869 0.243281i
\(404\) 314.824 181.764i 0.779268 0.449911i
\(405\) −384.394 127.539i −0.949121 0.314912i
\(406\) −103.179 + 273.367i −0.254136 + 0.673318i
\(407\) 64.6596 64.6596i 0.158869 0.158869i
\(408\) 35.1339 + 12.5547i 0.0861125 + 0.0307713i
\(409\) −147.497 + 255.473i −0.360629 + 0.624628i −0.988065 0.154041i \(-0.950771\pi\)
0.627435 + 0.778669i \(0.284105\pi\)
\(410\) −48.9436 178.913i −0.119375 0.436374i
\(411\) 152.002 + 321.036i 0.369833 + 0.781110i
\(412\) −131.835 + 131.835i −0.319988 + 0.319988i
\(413\) 324.084 451.369i 0.784707 1.09290i
\(414\) −76.2572 + 464.276i −0.184196 + 1.12144i
\(415\) 468.895 + 123.016i 1.12987 + 0.296424i
\(416\) −22.5552 + 39.0668i −0.0542193 + 0.0939105i
\(417\) 760.072 138.625i 1.82271 0.332434i
\(418\) 23.5884 88.0332i 0.0564316 0.210606i
\(419\) 74.6773i 0.178227i 0.996021 + 0.0891137i \(0.0284035\pi\)
−0.996021 + 0.0891137i \(0.971597\pi\)
\(420\) −209.214 + 18.1470i −0.498130 + 0.0432072i
\(421\) 326.906 0.776499 0.388249 0.921554i \(-0.373080\pi\)
0.388249 + 0.921554i \(0.373080\pi\)
\(422\) 89.1646 + 23.8916i 0.211291 + 0.0566151i
\(423\) −25.1555 253.257i −0.0594694 0.598717i
\(424\) −17.9952 10.3895i −0.0424415 0.0245036i
\(425\) −27.3388 + 106.471i −0.0643266 + 0.250519i
\(426\) 29.9942 367.674i 0.0704090 0.863084i
\(427\) 158.595 + 350.896i 0.371416 + 0.821770i
\(428\) −219.352 219.352i −0.512505 0.512505i
\(429\) −38.3515 81.0007i −0.0893975 0.188813i
\(430\) −334.751 190.942i −0.778491 0.444052i
\(431\) 122.945 + 70.9823i 0.285255 + 0.164692i 0.635800 0.771854i \(-0.280670\pi\)
−0.350545 + 0.936546i \(0.614004\pi\)
\(432\) 94.4669 + 52.3451i 0.218673 + 0.121169i
\(433\) −61.0659 61.0659i −0.141030 0.141030i 0.633067 0.774097i \(-0.281796\pi\)
−0.774097 + 0.633067i \(0.781796\pi\)
\(434\) −97.4760 + 79.8445i −0.224599 + 0.183974i
\(435\) 288.331 + 335.977i 0.662830 + 0.772361i
\(436\) 100.487 + 174.048i 0.230474 + 0.399193i
\(437\) −614.248 + 164.587i −1.40560 + 0.376630i
\(438\) 40.4125 7.37059i 0.0922659 0.0168278i
\(439\) −374.114 647.984i −0.852195 1.47604i −0.879223 0.476410i \(-0.841938\pi\)
0.0270281 0.999635i \(-0.491396\pi\)
\(440\) −37.2653 + 37.6570i −0.0846939 + 0.0855842i
\(441\) −435.184 + 71.3860i −0.986812 + 0.161873i
\(442\) 35.0636 + 35.0636i 0.0793295 + 0.0793295i
\(443\) −131.478 + 490.684i −0.296791 + 1.10764i 0.642994 + 0.765871i \(0.277692\pi\)
−0.939785 + 0.341767i \(0.888975\pi\)
\(444\) −83.2992 + 120.462i −0.187611 + 0.271311i
\(445\) −473.143 269.881i −1.06324 0.606474i
\(446\) −6.16064 10.6705i −0.0138131 0.0239250i
\(447\) 311.499 + 366.836i 0.696865 + 0.820663i
\(448\) 55.7252 + 5.54092i 0.124387 + 0.0123681i
\(449\) −405.923 −0.904060 −0.452030 0.892003i \(-0.649300\pi\)
−0.452030 + 0.892003i \(0.649300\pi\)
\(450\) −128.044 + 291.299i −0.284541 + 0.647330i
\(451\) −85.1033 49.1344i −0.188699 0.108945i
\(452\) 90.0516 + 336.077i 0.199229 + 0.743533i
\(453\) 189.233 529.562i 0.417733 1.16901i
\(454\) −26.2054 −0.0577211
\(455\) −261.637 97.1923i −0.575027 0.213609i
\(456\) −11.8686 + 145.488i −0.0260277 + 0.319052i
\(457\) −56.8867 + 212.304i −0.124478 + 0.464560i −0.999821 0.0189442i \(-0.993970\pi\)
0.875342 + 0.483504i \(0.160636\pi\)
\(458\) 57.9417 + 216.241i 0.126510 + 0.472143i
\(459\) 82.4559 85.4115i 0.179642 0.186082i
\(460\) 357.557 + 93.8063i 0.777297 + 0.203927i
\(461\) −7.26924 −0.0157684 −0.00788421 0.999969i \(-0.502510\pi\)
−0.00788421 + 0.999969i \(0.502510\pi\)
\(462\) −72.0214 + 84.7981i −0.155890 + 0.183546i
\(463\) −432.392 + 432.392i −0.933893 + 0.933893i −0.997946 0.0640535i \(-0.979597\pi\)
0.0640535 + 0.997946i \(0.479597\pi\)
\(464\) −59.0315 102.246i −0.127223 0.220357i
\(465\) 35.2378 + 187.643i 0.0757802 + 0.403534i
\(466\) −109.767 + 190.121i −0.235551 + 0.407986i
\(467\) 21.7406 81.1369i 0.0465537 0.173741i −0.938735 0.344641i \(-0.888001\pi\)
0.985288 + 0.170900i \(0.0546675\pi\)
\(468\) 83.7058 + 116.607i 0.178859 + 0.249161i
\(469\) 93.6282 + 570.406i 0.199634 + 1.21622i
\(470\) −199.954 + 1.04540i −0.425434 + 0.00222425i
\(471\) 0.136909 + 0.289159i 0.000290676 + 0.000613925i
\(472\) 58.1108 + 216.872i 0.123116 + 0.459476i
\(473\) −197.213 + 52.8430i −0.416940 + 0.111719i
\(474\) −596.230 + 282.298i −1.25787 + 0.595565i
\(475\) −430.048 + 4.49686i −0.905364 + 0.00946707i
\(476\) 21.7374 57.5920i 0.0456669 0.120992i
\(477\) −53.7124 + 38.5571i −0.112605 + 0.0808325i
\(478\) −506.514 135.720i −1.05965 0.283933i
\(479\) 212.902 + 122.919i 0.444472 + 0.256616i 0.705493 0.708717i \(-0.250726\pi\)
−0.261021 + 0.965333i \(0.584059\pi\)
\(480\) 47.8953 70.0431i 0.0997819 0.145923i
\(481\) −168.575 + 97.3269i −0.350468 + 0.202343i
\(482\) 171.075 + 171.075i 0.354928 + 0.354928i
\(483\) 763.668 + 139.363i 1.58109 + 0.288536i
\(484\) 213.932i 0.442009i
\(485\) 121.947 + 31.9932i 0.251437 + 0.0659654i
\(486\) 275.601 205.286i 0.567080 0.422398i
\(487\) 33.4029 8.95029i 0.0685892 0.0183784i −0.224361 0.974506i \(-0.572030\pi\)
0.292950 + 0.956128i \(0.405363\pi\)
\(488\) −150.291 40.2703i −0.307973 0.0825210i
\(489\) −752.819 61.4137i −1.53951 0.125590i
\(490\) 23.8237 + 345.662i 0.0486199 + 0.705433i
\(491\) 349.689i 0.712197i 0.934448 + 0.356099i \(0.115893\pi\)
−0.934448 + 0.356099i \(0.884107\pi\)
\(492\) 148.212 + 52.9620i 0.301245 + 0.107646i
\(493\) −125.358 + 33.5896i −0.254276 + 0.0681331i
\(494\) −97.0035 + 168.015i −0.196363 + 0.340111i
\(495\) 60.3359 + 157.410i 0.121891 + 0.318000i
\(496\) 50.9129i 0.102647i
\(497\) −605.660 60.2225i −1.21863 0.121172i
\(498\) −313.544 + 266.246i −0.629606 + 0.534630i
\(499\) −348.423 + 201.162i −0.698243 + 0.403131i −0.806693 0.590971i \(-0.798745\pi\)
0.108450 + 0.994102i \(0.465411\pi\)
\(500\) 218.440 + 121.589i 0.436880 + 0.243178i
\(501\) −624.984 432.175i −1.24747 0.862625i
\(502\) −578.513 155.012i −1.15242 0.308789i
\(503\) 90.3121 90.3121i 0.179547 0.179547i −0.611611 0.791158i \(-0.709478\pi\)
0.791158 + 0.611611i \(0.209478\pi\)
\(504\) 89.1115 154.309i 0.176809 0.306168i
\(505\) −908.807 + 4.75141i −1.79962 + 0.00940873i
\(506\) 169.602 97.9200i 0.335183 0.193518i
\(507\) −56.7382 311.092i −0.111910 0.613593i
\(508\) −75.0555 280.111i −0.147747 0.551399i
\(509\) 350.651 202.448i 0.688902 0.397738i −0.114299 0.993446i \(-0.536462\pi\)
0.803200 + 0.595709i \(0.203129\pi\)
\(510\) −60.7446 70.7824i −0.119107 0.138789i
\(511\) −10.9782 66.8821i −0.0214838 0.130885i
\(512\) −16.0000 + 16.0000i −0.0312500 + 0.0312500i
\(513\) 406.275 + 225.121i 0.791959 + 0.438833i
\(514\) −93.8761 + 162.598i −0.182638 + 0.316339i
\(515\) 449.588 122.989i 0.872986 0.238815i
\(516\) 295.551 139.935i 0.572774 0.271192i
\(517\) −74.9072 + 74.9072i −0.144888 + 0.144888i
\(518\) 196.287 + 140.935i 0.378933 + 0.272075i
\(519\) −227.674 18.5733i −0.438679 0.0357867i
\(520\) 97.3708 56.8979i 0.187252 0.109419i
\(521\) 76.6393 132.743i 0.147100 0.254785i −0.783054 0.621953i \(-0.786339\pi\)
0.930155 + 0.367168i \(0.119673\pi\)
\(522\) −373.835 + 37.1322i −0.716158 + 0.0711345i
\(523\) 36.8434 137.502i 0.0704464 0.262909i −0.921716 0.387866i \(-0.873212\pi\)
0.992162 + 0.124956i \(0.0398791\pi\)
\(524\) 86.5885i 0.165245i
\(525\) 476.802 + 219.739i 0.908194 + 0.418550i
\(526\) −131.638 −0.250262
\(527\) −54.0588 14.4850i −0.102578 0.0274858i
\(528\) −8.06585 44.2245i −0.0152762 0.0837585i
\(529\) −725.266 418.732i −1.37101 0.791555i
\(530\) 26.2087 + 44.8516i 0.0494503 + 0.0846256i
\(531\) 704.981 + 115.793i 1.32765 + 0.218066i
\(532\) 239.658 + 23.8299i 0.450485 + 0.0447931i
\(533\) 147.916 + 147.916i 0.277516 + 0.277516i
\(534\) 417.737 197.787i 0.782279 0.370387i
\(535\) 204.635 + 748.042i 0.382495 + 1.39821i
\(536\) −202.272 116.782i −0.377373 0.217876i
\(537\) 344.776 964.843i 0.642040 1.79673i
\(538\) −287.283 287.283i −0.533982 0.533982i
\(539\) 137.783 + 121.288i 0.255628 + 0.225024i
\(540\) −140.303 230.684i −0.259821 0.427192i
\(541\) 102.682 + 177.850i 0.189800 + 0.328744i 0.945184 0.326540i \(-0.105883\pi\)
−0.755383 + 0.655283i \(0.772549\pi\)
\(542\) 116.980 31.3446i 0.215830 0.0578314i
\(543\) −75.0009 411.225i −0.138123 0.757320i
\(544\) 12.4365 + 21.5407i 0.0228613 + 0.0395969i
\(545\) −2.62678 502.426i −0.00481977 0.921883i
\(546\) 194.807 134.679i 0.356790 0.246665i
\(547\) −125.258 125.258i −0.228990 0.228990i 0.583281 0.812271i \(-0.301769\pi\)
−0.812271 + 0.583281i \(0.801769\pi\)
\(548\) −61.2887 + 228.733i −0.111841 + 0.417395i
\(549\) −313.766 + 382.971i −0.571522 + 0.697580i
\(550\) 127.569 35.6156i 0.231943 0.0647557i
\(551\) −253.877 439.729i −0.460758 0.798056i
\(552\) −239.094 + 203.026i −0.433141 + 0.367801i
\(553\) 448.275 + 991.822i 0.810623 + 1.79353i
\(554\) −250.649 −0.452435
\(555\) 330.102 158.412i 0.594778 0.285427i
\(556\) 446.067 + 257.537i 0.802278 + 0.463195i
\(557\) 165.128 + 616.265i 0.296459 + 1.10640i 0.940052 + 0.341032i \(0.110777\pi\)
−0.643592 + 0.765368i \(0.722557\pi\)
\(558\) −147.619 66.7378i −0.264550 0.119602i
\(559\) 434.616 0.777488
\(560\) −114.148 81.0573i −0.203835 0.144745i
\(561\) −49.2519 4.01789i −0.0877931 0.00716201i
\(562\) −116.527 + 434.886i −0.207344 + 0.773819i
\(563\) 133.603 + 498.612i 0.237305 + 0.885635i 0.977096 + 0.212798i \(0.0682577\pi\)
−0.739791 + 0.672837i \(0.765076\pi\)
\(564\) 96.5009 139.553i 0.171101 0.247435i
\(565\) 220.733 841.358i 0.390678 1.48913i
\(566\) −606.839 −1.07215
\(567\) −330.599 460.645i −0.583067 0.812424i
\(568\) 173.899 173.899i 0.306160 0.306160i
\(569\) 91.8656 + 159.116i 0.161451 + 0.279641i 0.935389 0.353620i \(-0.115049\pi\)
−0.773938 + 0.633261i \(0.781716\pi\)
\(570\) 205.984 301.235i 0.361375 0.528483i
\(571\) 258.910 448.446i 0.453433 0.785370i −0.545163 0.838330i \(-0.683532\pi\)
0.998597 + 0.0529602i \(0.0168657\pi\)
\(572\) 15.4638 57.7116i 0.0270346 0.100894i
\(573\) −230.466 + 195.700i −0.402209 + 0.341535i
\(574\) 91.6995 242.952i 0.159755 0.423262i
\(575\) −660.265 646.599i −1.14829 1.12452i
\(576\) 25.4178 + 67.3642i 0.0441282 + 0.116952i
\(577\) 166.029 + 619.630i 0.287746 + 1.07388i 0.946809 + 0.321795i \(0.104286\pi\)
−0.659063 + 0.752087i \(0.729047\pi\)
\(578\) −368.371 + 98.7048i −0.637321 + 0.170770i
\(579\) 34.9932 + 73.9076i 0.0604373 + 0.127647i
\(580\) 1.54312 + 295.153i 0.00266054 + 0.508885i
\(581\) 430.053 + 525.019i 0.740195 + 0.903647i
\(582\) −81.5444 + 69.2434i −0.140111 + 0.118975i
\(583\) 26.5835 + 7.12303i 0.0455978 + 0.0122179i
\(584\) 23.7170 + 13.6930i 0.0406114 + 0.0234470i
\(585\) −37.3359 356.904i −0.0638220 0.610092i
\(586\) −173.457 + 100.146i −0.296002 + 0.170897i
\(587\) 541.415 + 541.415i 0.922343 + 0.922343i 0.997195 0.0748515i \(-0.0238483\pi\)
−0.0748515 + 0.997195i \(0.523848\pi\)
\(588\) −251.953 151.512i −0.428491 0.257673i
\(589\) 218.962i 0.371751i
\(590\) 142.440 542.933i 0.241425 0.920226i
\(591\) 426.776 617.177i 0.722126 1.04429i
\(592\) −94.3115 + 25.2707i −0.159310 + 0.0426870i
\(593\) 719.913 + 192.900i 1.21402 + 0.325295i 0.808338 0.588719i \(-0.200368\pi\)
0.405681 + 0.914015i \(0.367034\pi\)
\(594\) −138.799 34.5841i −0.233669 0.0582224i
\(595\) −118.542 + 98.1397i −0.199229 + 0.164941i
\(596\) 320.832i 0.538309i
\(597\) −8.16275 + 22.8432i −0.0136730 + 0.0382633i
\(598\) −402.680 + 107.898i −0.673378 + 0.180431i
\(599\) −130.218 + 225.544i −0.217392 + 0.376533i −0.954010 0.299775i \(-0.903088\pi\)
0.736618 + 0.676309i \(0.236422\pi\)
\(600\) −190.768 + 92.7773i −0.317946 + 0.154629i
\(601\) 241.172i 0.401284i −0.979665 0.200642i \(-0.935697\pi\)
0.979665 0.200642i \(-0.0643028\pi\)
\(602\) −222.210 491.647i −0.369120 0.816689i
\(603\) −603.744 + 433.394i −1.00123 + 0.718730i
\(604\) 324.677 187.452i 0.537545 0.310352i
\(605\) −264.990 + 464.569i −0.438001 + 0.767883i
\(606\) 438.604 634.281i 0.723769 1.04667i
\(607\) 250.866 + 67.2194i 0.413289 + 0.110740i 0.459471 0.888193i \(-0.348039\pi\)
−0.0461826 + 0.998933i \(0.514706\pi\)
\(608\) −68.8114 + 68.8114i −0.113177 + 0.113177i
\(609\) 50.3331 + 617.784i 0.0826488 + 1.01442i
\(610\) 276.485 + 273.609i 0.453254 + 0.448540i
\(611\) 195.292 112.752i 0.319627 0.184536i
\(612\) 78.7582 7.82289i 0.128690 0.0127825i
\(613\) 211.390 + 788.920i 0.344846 + 1.28698i 0.892792 + 0.450468i \(0.148743\pi\)
−0.547947 + 0.836513i \(0.684590\pi\)
\(614\) 250.561 144.662i 0.408081 0.235605i
\(615\) −256.251 298.596i −0.416669 0.485522i
\(616\) −73.1909 + 12.0138i −0.118816 + 0.0195029i
\(617\) 440.576 440.576i 0.714062 0.714062i −0.253320 0.967383i \(-0.581523\pi\)
0.967383 + 0.253320i \(0.0815226\pi\)
\(618\) −133.087 + 372.440i −0.215352 + 0.602654i
\(619\) 296.751 513.988i 0.479404 0.830353i −0.520317 0.853973i \(-0.674186\pi\)
0.999721 + 0.0236207i \(0.00751939\pi\)
\(620\) −63.0639 + 110.561i −0.101716 + 0.178324i
\(621\) 275.252 + 959.369i 0.443241 + 1.54488i
\(622\) 268.247 268.247i 0.431265 0.431265i
\(623\) −314.075 694.902i −0.504134 1.11541i
\(624\) −7.78068 + 95.3768i −0.0124690 + 0.152847i
\(625\) −323.750 534.613i −0.518000 0.855381i
\(626\) 332.439 575.801i 0.531053 0.919810i
\(627\) −34.6889 190.197i −0.0553252 0.303344i
\(628\) −0.0552031 + 0.206021i −8.79030e−5 + 0.000328058i
\(629\) 107.329i 0.170634i
\(630\) −384.648 + 224.713i −0.610553 + 0.356687i
\(631\) 145.713 0.230925 0.115462 0.993312i \(-0.463165\pi\)
0.115462 + 0.993312i \(0.463165\pi\)
\(632\) −424.803 113.826i −0.672157 0.180104i
\(633\) 192.641 35.1347i 0.304331 0.0555051i
\(634\) 326.879 + 188.724i 0.515582 + 0.297671i
\(635\) −183.975 + 701.249i −0.289724 + 1.10433i
\(636\) −43.9331 3.58399i −0.0690772 0.00563520i
\(637\) −216.482 325.300i −0.339847 0.510676i
\(638\) 110.571 + 110.571i 0.173309 + 0.173309i
\(639\) −276.258 732.160i −0.432329 1.14579i
\(640\) 54.5637 14.9265i 0.0852558 0.0233226i
\(641\) −414.926 239.558i −0.647311 0.373725i 0.140114 0.990135i \(-0.455253\pi\)
−0.787425 + 0.616410i \(0.788586\pi\)
\(642\) −619.681 221.436i −0.965235 0.344916i
\(643\) −32.5220 32.5220i −0.0505786 0.0505786i 0.681365 0.731944i \(-0.261387\pi\)
−0.731944 + 0.681365i \(0.761387\pi\)
\(644\) 327.938 + 400.354i 0.509221 + 0.621668i
\(645\) −815.143 62.2097i −1.26379 0.0964492i
\(646\) 53.4860 + 92.6405i 0.0827957 + 0.143406i
\(647\) −248.105 + 66.4795i −0.383470 + 0.102750i −0.445404 0.895330i \(-0.646940\pi\)
0.0619339 + 0.998080i \(0.480273\pi\)
\(648\) 228.637 + 14.6052i 0.352834 + 0.0225389i
\(649\) −148.687 257.533i −0.229102 0.396816i
\(650\) −281.925 + 2.94799i −0.433730 + 0.00453537i
\(651\) −114.407 + 241.570i −0.175741 + 0.371076i
\(652\) −356.061 356.061i −0.546106 0.546106i
\(653\) −287.966 + 1074.70i −0.440989 + 1.64579i 0.285325 + 0.958431i \(0.407898\pi\)
−0.726314 + 0.687363i \(0.758768\pi\)
\(654\) 350.657 + 242.479i 0.536173 + 0.370762i
\(655\) 107.254 188.033i 0.163747 0.287073i
\(656\) 52.4636 + 90.8697i 0.0799750 + 0.138521i
\(657\) 70.7910 50.8169i 0.107749 0.0773469i
\(658\) −227.396 163.271i −0.345586 0.248132i
\(659\) 1213.51 1.84145 0.920723 0.390218i \(-0.127600\pi\)
0.920723 + 0.390218i \(0.127600\pi\)
\(660\) −37.2637 + 106.027i −0.0564602 + 0.160648i
\(661\) −66.7459 38.5358i −0.100977 0.0582992i 0.448661 0.893702i \(-0.351901\pi\)
−0.549638 + 0.835403i \(0.685234\pi\)
\(662\) 151.155 + 564.118i 0.228331 + 0.852142i
\(663\) 99.0565 + 35.3967i 0.149407 + 0.0533887i
\(664\) −274.223 −0.412987
\(665\) −490.917 348.604i −0.738221 0.524217i
\(666\) −50.3550 + 306.576i −0.0756081 + 0.460324i
\(667\) 282.390 1053.89i 0.423373 1.58005i
\(668\) −131.110 489.310i −0.196273 0.732499i
\(669\) −21.4981 14.8659i −0.0321347 0.0222210i
\(670\) 294.594 + 504.146i 0.439692 + 0.752457i
\(671\) 206.077 0.307120
\(672\) 111.870 39.9625i 0.166474 0.0594680i
\(673\) 171.706 171.706i 0.255134 0.255134i −0.567937 0.823072i \(-0.692258\pi\)
0.823072 + 0.567937i \(0.192258\pi\)
\(674\) 9.78615 + 16.9501i 0.0145195 + 0.0251485i
\(675\) 18.9390 + 674.734i 0.0280578 + 0.999606i
\(676\) 105.408 182.572i 0.155929 0.270076i
\(677\) 214.280 799.704i 0.316514 1.18125i −0.606057 0.795421i \(-0.707250\pi\)
0.922572 0.385826i \(-0.126084\pi\)
\(678\) 477.736 + 562.606i 0.704626 + 0.829802i
\(679\) 111.845 + 136.543i 0.164721 + 0.201095i
\(680\) −0.325098 62.1819i −0.000478086 0.0914440i
\(681\) −50.2429 + 23.7886i −0.0737781 + 0.0349319i
\(682\) 17.4528 + 65.1349i 0.0255907 + 0.0955057i
\(683\) −372.075 + 99.6971i −0.544765 + 0.145969i −0.520698 0.853741i \(-0.674328\pi\)
−0.0240672 + 0.999710i \(0.507662\pi\)
\(684\) 109.315 + 289.714i 0.159817 + 0.423559i
\(685\) 416.416 420.793i 0.607906 0.614296i
\(686\) −257.304 + 411.209i −0.375079 + 0.599430i
\(687\) 307.389 + 361.996i 0.447436 + 0.526923i
\(688\) 210.575 + 56.4235i 0.306069 + 0.0820109i
\(689\) −50.7357 29.2923i −0.0736367 0.0425142i
\(690\) 770.690 144.729i 1.11694 0.209752i
\(691\) 635.479 366.894i 0.919651 0.530961i 0.0361273 0.999347i \(-0.488498\pi\)
0.883524 + 0.468386i \(0.155164\pi\)
\(692\) −107.683 107.683i −0.155612 0.155612i
\(693\) −61.1072 + 227.960i −0.0881778 + 0.328947i
\(694\) 405.688i 0.584565i
\(695\) −649.663 1111.79i −0.934767 1.59969i
\(696\) −205.996 142.445i −0.295971 0.204663i
\(697\) 111.411 29.8524i 0.159843 0.0428299i
\(698\) 675.618 + 181.031i 0.967934 + 0.259357i
\(699\) −37.8652 + 464.158i −0.0541706 + 0.664032i
\(700\) 147.477 + 317.412i 0.210682 + 0.453446i
\(701\) 113.641i 0.162112i 0.996710 + 0.0810561i \(0.0258293\pi\)
−0.996710 + 0.0810561i \(0.974171\pi\)
\(702\) 266.340 + 147.582i 0.379402 + 0.210231i
\(703\) −405.607 + 108.682i −0.576965 + 0.154597i
\(704\) 14.9847 25.9542i 0.0212850 0.0368668i
\(705\) −382.418 + 183.518i −0.542437 + 0.260309i
\(706\) 877.344i 1.24270i
\(707\) −1033.53 742.078i −1.46186 1.04961i
\(708\) 308.286 + 363.053i 0.435432 + 0.512786i
\(709\) −9.40250 + 5.42853i −0.0132616 + 0.00765661i −0.506616 0.862172i \(-0.669104\pi\)
0.493355 + 0.869828i \(0.335771\pi\)
\(710\) −593.036 + 162.231i −0.835262 + 0.228495i
\(711\) −886.873 + 1082.49i −1.24736 + 1.52248i
\(712\) 297.630 + 79.7498i 0.418020 + 0.112008i
\(713\) 332.699 332.699i 0.466619 0.466619i
\(714\) −10.6040 130.153i −0.0148516 0.182286i
\(715\) −105.066 + 106.170i −0.146945 + 0.148490i
\(716\) 591.550 341.531i 0.826187 0.476999i
\(717\) −1094.33 + 199.588i −1.52626 + 0.278366i
\(718\) −98.2254 366.582i −0.136804 0.510560i
\(719\) −1084.80 + 626.312i −1.50877 + 0.871087i −0.508819 + 0.860873i \(0.669918\pi\)
−0.999948 + 0.0102138i \(0.996749\pi\)
\(720\) 28.2450 177.770i 0.0392292 0.246903i
\(721\) 610.510 + 230.430i 0.846755 + 0.319598i
\(722\) 65.0620 65.0620i 0.0901135 0.0901135i
\(723\) 483.297 + 172.700i 0.668460 + 0.238867i
\(724\) 139.336 241.337i 0.192453 0.333339i
\(725\) 362.245 642.857i 0.499648 0.886700i
\(726\) −194.203 410.167i −0.267497 0.564969i
\(727\) 694.416 694.416i 0.955181 0.955181i −0.0438572 0.999038i \(-0.513965\pi\)
0.999038 + 0.0438572i \(0.0139647\pi\)
\(728\) 157.112 + 15.6221i 0.215813 + 0.0214589i
\(729\) 342.049 643.773i 0.469203 0.883090i
\(730\) −34.5421 59.1128i −0.0473180 0.0809764i
\(731\) 119.820 207.534i 0.163912 0.283904i
\(732\) −324.705 + 59.2210i −0.443586 + 0.0809030i
\(733\) −191.444 + 714.480i −0.261179 + 0.974734i 0.703369 + 0.710825i \(0.251678\pi\)
−0.964548 + 0.263908i \(0.914988\pi\)
\(734\) 341.783i 0.465645i
\(735\) 359.460 + 641.103i 0.489062 + 0.872249i
\(736\) −209.110 −0.284116
\(737\) 298.807 + 80.0650i 0.405437 + 0.108636i
\(738\) 332.242 33.0009i 0.450192 0.0447166i
\(739\) 385.966 + 222.838i 0.522281 + 0.301539i 0.737868 0.674945i \(-0.235833\pi\)
−0.215586 + 0.976485i \(0.569166\pi\)
\(740\) 236.106 + 61.9432i 0.319062 + 0.0837070i
\(741\) −33.4625 + 410.188i −0.0451585 + 0.553561i
\(742\) −7.19595 + 72.3699i −0.00969804 + 0.0975335i
\(743\) 363.087 + 363.087i 0.488677 + 0.488677i 0.907889 0.419212i \(-0.137694\pi\)
−0.419212 + 0.907889i \(0.637694\pi\)
\(744\) −46.2174 97.6139i −0.0621202 0.131202i
\(745\) 397.403 696.710i 0.533427 0.935181i
\(746\) 792.714 + 457.674i 1.06262 + 0.613504i
\(747\) −359.459 + 795.094i −0.481203 + 1.06438i
\(748\) −23.2947 23.2947i −0.0311427 0.0311427i
\(749\) −383.398 + 1015.79i −0.511880 + 1.35620i
\(750\) 529.185 + 34.8249i 0.705581 + 0.0464331i
\(751\) −257.662 446.284i −0.343092 0.594252i 0.641913 0.766777i \(-0.278141\pi\)
−0.985005 + 0.172525i \(0.944808\pi\)
\(752\) 109.258 29.2757i 0.145291 0.0389305i
\(753\) −1249.88 + 227.959i −1.65987 + 0.302735i
\(754\) −166.434 288.271i −0.220734 0.382323i
\(755\) −937.249 + 4.90011i −1.24139 + 0.00649021i
\(756\) 30.7737 376.745i 0.0407059 0.498340i
\(757\) 298.739 + 298.739i 0.394635 + 0.394635i 0.876336 0.481701i \(-0.159981\pi\)
−0.481701 + 0.876336i \(0.659981\pi\)
\(758\) 64.5965 241.077i 0.0852197 0.318044i
\(759\) 236.285 341.701i 0.311311 0.450198i
\(760\) 234.663