Properties

Label 770.2.bv.a.3.11
Level $770$
Weight $2$
Character 770.3
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 3.11
Character \(\chi\) \(=\) 770.3
Dual form 770.2.bv.a.257.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.933580 + 0.358368i) q^{2} +(-0.647269 + 0.420342i) q^{3} +(0.743145 - 0.669131i) q^{4} +(1.72525 + 1.42250i) q^{5} +(0.453641 - 0.624383i) q^{6} +(-2.58746 - 0.552333i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-0.977939 + 2.19649i) q^{9} +O(q^{10})\) \(q+(-0.933580 + 0.358368i) q^{2} +(-0.647269 + 0.420342i) q^{3} +(0.743145 - 0.669131i) q^{4} +(1.72525 + 1.42250i) q^{5} +(0.453641 - 0.624383i) q^{6} +(-2.58746 - 0.552333i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-0.977939 + 2.19649i) q^{9} +(-2.12044 - 0.709742i) q^{10} +(-3.05765 - 1.28482i) q^{11} +(-0.199751 + 0.745482i) q^{12} +(1.02884 - 6.49586i) q^{13} +(2.61354 - 0.411614i) q^{14} +(-1.71464 - 0.195545i) q^{15} +(0.104528 - 0.994522i) q^{16} +(-2.69984 - 1.03637i) q^{17} +(0.125834 - 2.40106i) q^{18} +(2.93186 - 3.25616i) q^{19} +(2.23395 - 0.0972963i) q^{20} +(1.90695 - 0.730107i) q^{21} +(3.31500 + 0.103714i) q^{22} +(0.00532186 - 0.0198615i) q^{23} +(-0.0806730 - 0.767552i) q^{24} +(0.952992 + 4.90834i) q^{25} +(1.36740 + 6.43312i) q^{26} +(-0.652484 - 4.11962i) q^{27} +(-2.29244 + 1.32088i) q^{28} +(-1.52145 - 0.494348i) q^{29} +(1.67083 - 0.431915i) q^{30} +(0.795549 - 0.0836156i) q^{31} +(0.258819 + 0.965926i) q^{32} +(2.51919 - 0.453637i) q^{33} +2.89192 q^{34} +(-3.67832 - 4.63357i) q^{35} +(0.742987 + 2.28668i) q^{36} +(2.22615 - 3.42798i) q^{37} +(-1.57023 + 4.09058i) q^{38} +(2.06454 + 4.63704i) q^{39} +(-2.05070 + 0.891410i) q^{40} +(1.90459 - 0.618840i) q^{41} +(-1.51864 + 1.36500i) q^{42} +(-5.26196 - 5.26196i) q^{43} +(-3.13199 + 1.09117i) q^{44} +(-4.81169 + 2.39838i) q^{45} +(0.00214932 + 0.0204495i) q^{46} +(-6.84994 + 0.358990i) q^{47} +(0.350381 + 0.687661i) q^{48} +(6.38986 + 2.85827i) q^{49} +(-2.64869 - 4.24081i) q^{50} +(2.18315 - 0.464043i) q^{51} +(-3.58200 - 5.51580i) q^{52} +(2.61051 - 3.22371i) q^{53} +(2.08549 + 3.61217i) q^{54} +(-3.44758 - 6.56614i) q^{55} +(1.66681 - 2.05469i) q^{56} +(-0.529004 + 3.34000i) q^{57} +(1.59755 - 0.0837241i) q^{58} +(-1.05301 - 1.16948i) q^{59} +(-1.40507 + 1.00200i) q^{60} +(4.25970 + 0.447713i) q^{61} +(-0.712744 + 0.363161i) q^{62} +(3.74357 - 5.14317i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(11.0154 - 9.74348i) q^{65} +(-2.18929 + 1.32630i) q^{66} +(-4.05076 - 15.1176i) q^{67} +(-2.69984 + 1.03637i) q^{68} +(0.00490392 + 0.0150927i) q^{69} +(5.09453 + 3.00762i) q^{70} +(5.15987 + 3.74886i) q^{71} +(-1.51311 - 1.86854i) q^{72} +(14.2734 + 0.748037i) q^{73} +(-0.849817 + 3.99808i) q^{74} +(-2.68002 - 2.77644i) q^{75} -4.38160i q^{76} +(7.20190 + 5.01325i) q^{77} +(-3.58918 - 3.58918i) q^{78} +(0.710523 - 1.59586i) q^{79} +(1.59504 - 1.56711i) q^{80} +(-2.67250 - 2.96811i) q^{81} +(-1.55632 + 1.26028i) q^{82} +(-8.67823 + 1.37450i) q^{83} +(0.928602 - 1.81857i) q^{84} +(-3.18367 - 5.62852i) q^{85} +(6.79817 + 3.02674i) q^{86} +(1.19258 - 0.319551i) q^{87} +(2.53293 - 2.14110i) q^{88} +(-3.35933 - 5.81854i) q^{89} +(3.63260 - 3.96344i) q^{90} +(-6.24997 + 16.2395i) q^{91} +(-0.00933500 - 0.0183210i) q^{92} +(-0.479787 + 0.388524i) q^{93} +(6.26632 - 2.78994i) q^{94} +(9.69010 - 1.44713i) q^{95} +(-0.573544 - 0.516422i) q^{96} +(-16.9142 - 2.67895i) q^{97} +(-6.98976 - 0.378510i) q^{98} +(5.81228 - 5.45963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.933580 + 0.358368i −0.660141 + 0.253404i
\(3\) −0.647269 + 0.420342i −0.373701 + 0.242684i −0.717800 0.696249i \(-0.754851\pi\)
0.344099 + 0.938933i \(0.388184\pi\)
\(4\) 0.743145 0.669131i 0.371572 0.334565i
\(5\) 1.72525 + 1.42250i 0.771556 + 0.636161i
\(6\) 0.453641 0.624383i 0.185198 0.254903i
\(7\) −2.58746 0.552333i −0.977966 0.208762i
\(8\) −0.453990 + 0.891007i −0.160510 + 0.315018i
\(9\) −0.977939 + 2.19649i −0.325980 + 0.732163i
\(10\) −2.12044 0.709742i −0.670542 0.224440i
\(11\) −3.05765 1.28482i −0.921917 0.387387i
\(12\) −0.199751 + 0.745482i −0.0576633 + 0.215202i
\(13\) 1.02884 6.49586i 0.285350 1.80163i −0.262371 0.964967i \(-0.584504\pi\)
0.547720 0.836661i \(-0.315496\pi\)
\(14\) 2.61354 0.411614i 0.698497 0.110008i
\(15\) −1.71464 0.195545i −0.442718 0.0504894i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) −2.69984 1.03637i −0.654807 0.251357i 0.00820421 0.999966i \(-0.497388\pi\)
−0.663011 + 0.748610i \(0.730722\pi\)
\(18\) 0.125834 2.40106i 0.0296594 0.565935i
\(19\) 2.93186 3.25616i 0.672616 0.747015i −0.306153 0.951982i \(-0.599042\pi\)
0.978769 + 0.204967i \(0.0657087\pi\)
\(20\) 2.23395 0.0972963i 0.499526 0.0217561i
\(21\) 1.90695 0.730107i 0.416130 0.159322i
\(22\) 3.31500 + 0.103714i 0.706761 + 0.0221119i
\(23\) 0.00532186 0.0198615i 0.00110969 0.00414140i −0.965369 0.260889i \(-0.915984\pi\)
0.966478 + 0.256748i \(0.0826510\pi\)
\(24\) −0.0806730 0.767552i −0.0164673 0.156676i
\(25\) 0.952992 + 4.90834i 0.190598 + 0.981668i
\(26\) 1.36740 + 6.43312i 0.268169 + 1.26164i
\(27\) −0.652484 4.11962i −0.125571 0.792822i
\(28\) −2.29244 + 1.32088i −0.433230 + 0.249623i
\(29\) −1.52145 0.494348i −0.282525 0.0917981i 0.164327 0.986406i \(-0.447455\pi\)
−0.446852 + 0.894608i \(0.647455\pi\)
\(30\) 1.67083 0.431915i 0.305050 0.0788565i
\(31\) 0.795549 0.0836156i 0.142885 0.0150178i −0.0328160 0.999461i \(-0.510448\pi\)
0.175701 + 0.984444i \(0.443781\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 2.51919 0.453637i 0.438534 0.0789681i
\(34\) 2.89192 0.495960
\(35\) −3.67832 4.63357i −0.621750 0.783216i
\(36\) 0.742987 + 2.28668i 0.123831 + 0.381113i
\(37\) 2.22615 3.42798i 0.365978 0.563556i −0.606929 0.794756i \(-0.707599\pi\)
0.972906 + 0.231200i \(0.0742653\pi\)
\(38\) −1.57023 + 4.09058i −0.254724 + 0.663579i
\(39\) 2.06454 + 4.63704i 0.330591 + 0.742520i
\(40\) −2.05070 + 0.891410i −0.324245 + 0.140944i
\(41\) 1.90459 0.618840i 0.297447 0.0966465i −0.156492 0.987679i \(-0.550018\pi\)
0.453939 + 0.891033i \(0.350018\pi\)
\(42\) −1.51864 + 1.36500i −0.234332 + 0.210625i
\(43\) −5.26196 5.26196i −0.802441 0.802441i 0.181036 0.983477i \(-0.442055\pi\)
−0.983477 + 0.181036i \(0.942055\pi\)
\(44\) −3.13199 + 1.09117i −0.472165 + 0.164499i
\(45\) −4.81169 + 2.39838i −0.717285 + 0.357529i
\(46\) 0.00214932 + 0.0204495i 0.000316901 + 0.00301511i
\(47\) −6.84994 + 0.358990i −0.999166 + 0.0523641i −0.544899 0.838501i \(-0.683432\pi\)
−0.454267 + 0.890866i \(0.650099\pi\)
\(48\) 0.350381 + 0.687661i 0.0505731 + 0.0992553i
\(49\) 6.38986 + 2.85827i 0.912837 + 0.408325i
\(50\) −2.64869 4.24081i −0.374581 0.599741i
\(51\) 2.18315 0.464043i 0.305702 0.0649791i
\(52\) −3.58200 5.51580i −0.496734 0.764904i
\(53\) 2.61051 3.22371i 0.358581 0.442810i −0.565650 0.824646i \(-0.691375\pi\)
0.924230 + 0.381835i \(0.124708\pi\)
\(54\) 2.08549 + 3.61217i 0.283799 + 0.491554i
\(55\) −3.44758 6.56614i −0.464871 0.885378i
\(56\) 1.66681 2.05469i 0.222737 0.274569i
\(57\) −0.529004 + 3.34000i −0.0700683 + 0.442394i
\(58\) 1.59755 0.0837241i 0.209769 0.0109935i
\(59\) −1.05301 1.16948i −0.137090 0.152254i 0.670690 0.741737i \(-0.265998\pi\)
−0.807780 + 0.589484i \(0.799331\pi\)
\(60\) −1.40507 + 1.00200i −0.181394 + 0.129358i
\(61\) 4.25970 + 0.447713i 0.545399 + 0.0573238i 0.373222 0.927742i \(-0.378253\pi\)
0.172178 + 0.985066i \(0.444920\pi\)
\(62\) −0.712744 + 0.363161i −0.0905186 + 0.0461215i
\(63\) 3.74357 5.14317i 0.471645 0.647978i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) 11.0154 9.74348i 1.36629 1.20853i
\(66\) −2.18929 + 1.32630i −0.269484 + 0.163257i
\(67\) −4.05076 15.1176i −0.494879 1.84691i −0.530707 0.847555i \(-0.678074\pi\)
0.0358285 0.999358i \(-0.488593\pi\)
\(68\) −2.69984 + 1.03637i −0.327403 + 0.125678i
\(69\) 0.00490392 + 0.0150927i 0.000590363 + 0.00181695i
\(70\) 5.09453 + 3.00762i 0.608913 + 0.359479i
\(71\) 5.15987 + 3.74886i 0.612364 + 0.444908i 0.850246 0.526386i \(-0.176453\pi\)
−0.237882 + 0.971294i \(0.576453\pi\)
\(72\) −1.51311 1.86854i −0.178322 0.220209i
\(73\) 14.2734 + 0.748037i 1.67058 + 0.0875512i 0.863971 0.503541i \(-0.167970\pi\)
0.806604 + 0.591092i \(0.201303\pi\)
\(74\) −0.849817 + 3.99808i −0.0987892 + 0.464767i
\(75\) −2.68002 2.77644i −0.309462 0.320595i
\(76\) 4.38160i 0.502604i
\(77\) 7.20190 + 5.01325i 0.820732 + 0.571313i
\(78\) −3.58918 3.58918i −0.406395 0.406395i
\(79\) 0.710523 1.59586i 0.0799401 0.179548i −0.869154 0.494542i \(-0.835336\pi\)
0.949094 + 0.314994i \(0.102002\pi\)
\(80\) 1.59504 1.56711i 0.178331 0.175208i
\(81\) −2.67250 2.96811i −0.296945 0.329791i
\(82\) −1.55632 + 1.26028i −0.171867 + 0.139175i
\(83\) −8.67823 + 1.37450i −0.952560 + 0.150871i −0.613325 0.789831i \(-0.710168\pi\)
−0.339235 + 0.940702i \(0.610168\pi\)
\(84\) 0.928602 1.81857i 0.101319 0.198423i
\(85\) −3.18367 5.62852i −0.345317 0.610499i
\(86\) 6.79817 + 3.02674i 0.733066 + 0.326382i
\(87\) 1.19258 0.319551i 0.127858 0.0342594i
\(88\) 2.53293 2.14110i 0.270011 0.228242i
\(89\) −3.35933 5.81854i −0.356089 0.616764i 0.631215 0.775608i \(-0.282557\pi\)
−0.987304 + 0.158844i \(0.949223\pi\)
\(90\) 3.63260 3.96344i 0.382910 0.417783i
\(91\) −6.24997 + 16.2395i −0.655175 + 1.70236i
\(92\) −0.00933500 0.0183210i −0.000973241 0.00191009i
\(93\) −0.479787 + 0.388524i −0.0497516 + 0.0402881i
\(94\) 6.26632 2.78994i 0.646321 0.287761i
\(95\) 9.69010 1.44713i 0.994183 0.148473i
\(96\) −0.573544 0.516422i −0.0585371 0.0527071i
\(97\) −16.9142 2.67895i −1.71738 0.272006i −0.781393 0.624039i \(-0.785490\pi\)
−0.935988 + 0.352033i \(0.885490\pi\)
\(98\) −6.98976 0.378510i −0.706072 0.0382353i
\(99\) 5.81228 5.45963i 0.584156 0.548713i
\(100\) 3.99253 + 3.00993i 0.399253 + 0.300993i
\(101\) 4.60006 0.483486i 0.457723 0.0481086i 0.127138 0.991885i \(-0.459421\pi\)
0.330585 + 0.943776i \(0.392754\pi\)
\(102\) −1.87185 + 1.21559i −0.185341 + 0.120362i
\(103\) −0.201018 + 0.309541i −0.0198069 + 0.0305000i −0.848435 0.529299i \(-0.822455\pi\)
0.828628 + 0.559799i \(0.189122\pi\)
\(104\) 5.32077 + 3.86577i 0.521745 + 0.379070i
\(105\) 4.32855 + 1.45301i 0.422423 + 0.141800i
\(106\) −1.28184 + 3.94511i −0.124504 + 0.383183i
\(107\) −0.950548 18.1375i −0.0918929 1.75342i −0.524109 0.851651i \(-0.675602\pi\)
0.432216 0.901770i \(-0.357732\pi\)
\(108\) −3.24146 2.62488i −0.311909 0.252579i
\(109\) −14.0007 8.08331i −1.34102 0.774240i −0.354066 0.935220i \(-0.615201\pi\)
−0.986958 + 0.160980i \(0.948535\pi\)
\(110\) 5.57168 + 4.89452i 0.531239 + 0.466674i
\(111\) 3.15457i 0.299419i
\(112\) −0.819770 + 2.51555i −0.0774610 + 0.237697i
\(113\) −1.34482 + 2.63936i −0.126510 + 0.248290i −0.945571 0.325417i \(-0.894495\pi\)
0.819060 + 0.573707i \(0.194495\pi\)
\(114\) −0.703081 3.30774i −0.0658496 0.309798i
\(115\) 0.0374345 0.0266957i 0.00349078 0.00248939i
\(116\) −1.46144 + 0.650674i −0.135691 + 0.0604136i
\(117\) 13.2619 + 8.61241i 1.22607 + 0.796217i
\(118\) 1.40217 + 0.714442i 0.129080 + 0.0657697i
\(119\) 6.41329 + 4.17277i 0.587905 + 0.382518i
\(120\) 0.952661 1.43898i 0.0869657 0.131360i
\(121\) 7.69850 + 7.85705i 0.699863 + 0.714277i
\(122\) −4.13722 + 1.10857i −0.374567 + 0.100365i
\(123\) −0.972660 + 1.20114i −0.0877018 + 0.108303i
\(124\) 0.535259 0.594465i 0.0480676 0.0533845i
\(125\) −5.33796 + 9.82376i −0.477441 + 0.878664i
\(126\) −1.65178 + 6.14314i −0.147152 + 0.547274i
\(127\) −13.9312 + 2.20649i −1.23619 + 0.195794i −0.740113 0.672482i \(-0.765228\pi\)
−0.496081 + 0.868276i \(0.665228\pi\)
\(128\) 0.838671 + 0.544639i 0.0741287 + 0.0481397i
\(129\) 5.61772 + 1.19408i 0.494613 + 0.105133i
\(130\) −6.79199 + 13.0439i −0.595697 + 1.14402i
\(131\) −16.0783 + 9.28281i −1.40477 + 0.811043i −0.994877 0.101092i \(-0.967766\pi\)
−0.409890 + 0.912135i \(0.634433\pi\)
\(132\) 1.56858 2.02278i 0.136527 0.176061i
\(133\) −9.38456 + 6.80582i −0.813744 + 0.590139i
\(134\) 9.19938 + 12.6619i 0.794706 + 1.09382i
\(135\) 4.73446 8.03555i 0.407477 0.691590i
\(136\) 2.14911 1.93507i 0.184285 0.165931i
\(137\) −3.39559 + 8.84581i −0.290105 + 0.755749i 0.708636 + 0.705574i \(0.249311\pi\)
−0.998740 + 0.0501741i \(0.984022\pi\)
\(138\) −0.00998695 0.0123329i −0.000850146 0.00104984i
\(139\) −1.35790 + 4.17917i −0.115175 + 0.354473i −0.991984 0.126367i \(-0.959668\pi\)
0.876808 + 0.480840i \(0.159668\pi\)
\(140\) −5.83399 0.982135i −0.493062 0.0830055i
\(141\) 4.28286 3.11168i 0.360682 0.262051i
\(142\) −6.16063 1.65073i −0.516988 0.138527i
\(143\) −11.4918 + 18.5402i −0.960996 + 1.55041i
\(144\) 2.08223 + 1.20218i 0.173519 + 0.100181i
\(145\) −1.92167 3.01713i −0.159586 0.250559i
\(146\) −13.5934 + 4.41678i −1.12500 + 0.365535i
\(147\) −5.33741 + 0.835849i −0.440222 + 0.0689396i
\(148\) −0.639409 4.03707i −0.0525591 0.331845i
\(149\) 9.83565 + 1.03377i 0.805768 + 0.0846896i 0.498451 0.866918i \(-0.333902\pi\)
0.307317 + 0.951607i \(0.400569\pi\)
\(150\) 3.49700 + 1.63159i 0.285529 + 0.133219i
\(151\) −10.7896 2.29339i −0.878042 0.186634i −0.253227 0.967407i \(-0.581492\pi\)
−0.624814 + 0.780773i \(0.714825\pi\)
\(152\) 1.57023 + 4.09058i 0.127362 + 0.331790i
\(153\) 4.91665 4.91665i 0.397488 0.397488i
\(154\) −8.52014 2.09934i −0.686572 0.169170i
\(155\) 1.49147 + 0.987410i 0.119797 + 0.0793107i
\(156\) 4.63704 + 2.06454i 0.371260 + 0.165296i
\(157\) −2.99691 4.61484i −0.239180 0.368304i 0.698613 0.715499i \(-0.253801\pi\)
−0.937793 + 0.347195i \(0.887134\pi\)
\(158\) −0.0914250 + 1.74449i −0.00727338 + 0.138784i
\(159\) −0.334643 + 3.18391i −0.0265389 + 0.252501i
\(160\) −0.927500 + 2.03464i −0.0733254 + 0.160852i
\(161\) −0.0247402 + 0.0484512i −0.00194980 + 0.00381849i
\(162\) 3.55867 + 1.81323i 0.279596 + 0.142461i
\(163\) 6.79053 + 17.6899i 0.531876 + 1.38558i 0.891727 + 0.452574i \(0.149494\pi\)
−0.359852 + 0.933010i \(0.617173\pi\)
\(164\) 1.00130 1.73431i 0.0781887 0.135427i
\(165\) 4.99153 + 2.80090i 0.388590 + 0.218050i
\(166\) 7.60925 4.39320i 0.590593 0.340979i
\(167\) 24.6534 + 3.90472i 1.90774 + 0.302156i 0.994455 0.105162i \(-0.0335362\pi\)
0.913286 + 0.407319i \(0.133536\pi\)
\(168\) −0.215207 + 2.03057i −0.0166036 + 0.156662i
\(169\) −28.7740 9.34924i −2.21338 0.719172i
\(170\) 4.98929 + 4.11375i 0.382661 + 0.315510i
\(171\) 4.28494 + 9.62414i 0.327678 + 0.735976i
\(172\) −7.43133 0.389460i −0.566634 0.0296960i
\(173\) 0.839693 + 16.0223i 0.0638407 + 1.21815i 0.823303 + 0.567602i \(0.192129\pi\)
−0.759463 + 0.650551i \(0.774538\pi\)
\(174\) −0.998853 + 0.725709i −0.0757228 + 0.0550158i
\(175\) 0.245213 13.2265i 0.0185364 0.999828i
\(176\) −1.59739 + 2.90660i −0.120408 + 0.219094i
\(177\) 1.17316 + 0.314347i 0.0881801 + 0.0236278i
\(178\) 5.22138 + 4.22819i 0.391359 + 0.316917i
\(179\) 4.54182 21.3676i 0.339471 1.59709i −0.395155 0.918614i \(-0.629309\pi\)
0.734626 0.678472i \(-0.237358\pi\)
\(180\) −1.97096 + 5.00199i −0.146907 + 0.372827i
\(181\) −5.23613 + 7.20692i −0.389199 + 0.535686i −0.957992 0.286794i \(-0.907410\pi\)
0.568794 + 0.822480i \(0.307410\pi\)
\(182\) 0.0151327 17.4007i 0.00112171 1.28982i
\(183\) −2.94537 + 1.50074i −0.217728 + 0.110938i
\(184\) 0.0152806 + 0.0137587i 0.00112650 + 0.00101431i
\(185\) 8.71697 2.74742i 0.640885 0.201995i
\(186\) 0.308686 0.534659i 0.0226339 0.0392031i
\(187\) 6.92363 + 6.63766i 0.506306 + 0.485394i
\(188\) −4.85029 + 4.85029i −0.353743 + 0.353743i
\(189\) −0.587130 + 11.0197i −0.0427074 + 0.801567i
\(190\) −8.52788 + 4.82363i −0.618677 + 0.349943i
\(191\) 4.98117 1.05878i 0.360425 0.0766107i −0.0241400 0.999709i \(-0.507685\pi\)
0.384565 + 0.923098i \(0.374351\pi\)
\(192\) 0.720519 + 0.276581i 0.0519990 + 0.0199605i
\(193\) −1.88584 0.723908i −0.135746 0.0521080i 0.289547 0.957164i \(-0.406495\pi\)
−0.425293 + 0.905056i \(0.639829\pi\)
\(194\) 16.7509 3.56050i 1.20264 0.255629i
\(195\) −3.03433 + 10.9369i −0.217293 + 0.783206i
\(196\) 6.66115 2.15154i 0.475796 0.153681i
\(197\) −8.01150 + 8.01150i −0.570796 + 0.570796i −0.932351 0.361555i \(-0.882246\pi\)
0.361555 + 0.932351i \(0.382246\pi\)
\(198\) −3.46968 + 7.17994i −0.246579 + 0.510256i
\(199\) 4.70394 8.14747i 0.333454 0.577559i −0.649733 0.760163i \(-0.725119\pi\)
0.983187 + 0.182604i \(0.0584525\pi\)
\(200\) −4.80601 1.37922i −0.339836 0.0975254i
\(201\) 8.97650 + 8.08248i 0.633154 + 0.570094i
\(202\) −4.12126 + 2.09989i −0.289971 + 0.147748i
\(203\) 3.66363 + 2.11945i 0.257136 + 0.148756i
\(204\) 1.31189 1.80567i 0.0918508 0.126422i
\(205\) 4.16620 + 1.64163i 0.290980 + 0.114656i
\(206\) 0.0767371 0.361020i 0.00534653 0.0251534i
\(207\) 0.0384210 + 0.0311127i 0.00267044 + 0.00216248i
\(208\) −6.35274 1.70221i −0.440483 0.118027i
\(209\) −13.1482 + 6.18932i −0.909480 + 0.428124i
\(210\) −4.56176 + 0.194706i −0.314791 + 0.0134360i
\(211\) 11.0341 8.01671i 0.759616 0.551893i −0.139177 0.990268i \(-0.544446\pi\)
0.898792 + 0.438374i \(0.144446\pi\)
\(212\) −0.217097 4.14245i −0.0149103 0.284505i
\(213\) −4.91563 0.257617i −0.336813 0.0176516i
\(214\) 7.38732 + 16.5922i 0.504987 + 1.13422i
\(215\) −1.59307 16.5633i −0.108647 1.12961i
\(216\) 3.96683 + 1.28890i 0.269909 + 0.0876987i
\(217\) −2.10463 0.223056i −0.142872 0.0151421i
\(218\) 15.9676 + 2.52902i 1.08146 + 0.171287i
\(219\) −9.55317 + 5.51552i −0.645543 + 0.372705i
\(220\) −6.95565 2.57272i −0.468950 0.173453i
\(221\) −9.50984 + 16.4715i −0.639701 + 1.10799i
\(222\) −1.13050 2.94504i −0.0758740 0.197658i
\(223\) −10.7033 5.45363i −0.716749 0.365202i 0.0572745 0.998358i \(-0.481759\pi\)
−0.774024 + 0.633156i \(0.781759\pi\)
\(224\) −0.136170 2.64224i −0.00909825 0.176542i
\(225\) −11.7131 2.70682i −0.780872 0.180455i
\(226\) 0.309637 2.94600i 0.0205967 0.195965i
\(227\) −0.0397126 + 0.757761i −0.00263582 + 0.0502944i −0.999631 0.0271722i \(-0.991350\pi\)
0.996995 + 0.0774666i \(0.0246831\pi\)
\(228\) 1.84177 + 2.83608i 0.121974 + 0.187824i
\(229\) −2.20894 0.983481i −0.145971 0.0649903i 0.332451 0.943120i \(-0.392124\pi\)
−0.478422 + 0.878130i \(0.658791\pi\)
\(230\) −0.0253812 + 0.0383379i −0.00167359 + 0.00252793i
\(231\) −6.76884 0.217664i −0.445357 0.0143213i
\(232\) 1.13119 1.13119i 0.0742662 0.0742662i
\(233\) 10.8550 + 28.2783i 0.711137 + 1.85257i 0.472035 + 0.881580i \(0.343520\pi\)
0.239102 + 0.970994i \(0.423147\pi\)
\(234\) −15.4675 3.28772i −1.01114 0.214925i
\(235\) −12.3285 9.12468i −0.804225 0.595229i
\(236\) −1.56507 0.164496i −0.101878 0.0107078i
\(237\) 0.210907 + 1.33161i 0.0136999 + 0.0864976i
\(238\) −7.48271 1.59730i −0.485032 0.103538i
\(239\) 0.0279272 0.00907408i 0.00180646 0.000586954i −0.308114 0.951350i \(-0.599698\pi\)
0.309920 + 0.950763i \(0.399698\pi\)
\(240\) −0.373702 + 1.68481i −0.0241224 + 0.108754i
\(241\) −17.8525 10.3071i −1.14998 0.663942i −0.201098 0.979571i \(-0.564451\pi\)
−0.948882 + 0.315630i \(0.897784\pi\)
\(242\) −10.0029 4.57629i −0.643009 0.294175i
\(243\) 15.0640 + 4.03639i 0.966356 + 0.258934i
\(244\) 3.46516 2.51758i 0.221834 0.161172i
\(245\) 6.95822 + 14.0208i 0.444544 + 0.895757i
\(246\) 0.477608 1.46993i 0.0304512 0.0937191i
\(247\) −18.1352 22.3951i −1.15391 1.42496i
\(248\) −0.286670 + 0.746800i −0.0182035 + 0.0474219i
\(249\) 5.03940 4.53749i 0.319359 0.287552i
\(250\) 1.46289 11.0842i 0.0925215 0.701028i
\(251\) 1.51451 + 2.08454i 0.0955947 + 0.131575i 0.854135 0.520051i \(-0.174087\pi\)
−0.758540 + 0.651626i \(0.774087\pi\)
\(252\) −0.659438 6.32705i −0.0415407 0.398567i
\(253\) −0.0417907 + 0.0538919i −0.00262736 + 0.00338815i
\(254\) 12.2152 7.05243i 0.766448 0.442509i
\(255\) 4.42659 + 2.30494i 0.277204 + 0.144341i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) 23.9182 + 15.5327i 1.49198 + 0.968903i 0.994864 + 0.101218i \(0.0322739\pi\)
0.497115 + 0.867685i \(0.334393\pi\)
\(258\) −5.67251 + 0.898438i −0.353155 + 0.0559343i
\(259\) −7.65346 + 7.64016i −0.475563 + 0.474737i
\(260\) 1.66636 14.6115i 0.103343 0.906169i
\(261\) 2.57371 2.85840i 0.159309 0.176930i
\(262\) 11.6837 14.4282i 0.721823 0.891377i
\(263\) −15.6118 + 4.18316i −0.962663 + 0.257945i −0.705727 0.708484i \(-0.749380\pi\)
−0.256936 + 0.966428i \(0.582713\pi\)
\(264\) −0.739493 + 2.45056i −0.0455127 + 0.150821i
\(265\) 9.08950 1.84827i 0.558364 0.113538i
\(266\) 6.32225 9.71690i 0.387642 0.595781i
\(267\) 4.62017 + 2.35409i 0.282750 + 0.144068i
\(268\) −13.1260 8.52411i −0.801796 0.520693i
\(269\) 11.5577 5.14580i 0.704682 0.313745i −0.0229264 0.999737i \(-0.507298\pi\)
0.727609 + 0.685992i \(0.240632\pi\)
\(270\) −1.54032 + 9.19851i −0.0937407 + 0.559803i
\(271\) 3.88258 + 18.2661i 0.235850 + 1.10959i 0.923516 + 0.383559i \(0.125302\pi\)
−0.687667 + 0.726027i \(0.741365\pi\)
\(272\) −1.31290 + 2.57672i −0.0796065 + 0.156236i
\(273\) −2.78072 13.1384i −0.168297 0.795175i
\(274\) 9.47514i 0.572414i
\(275\) 3.39239 16.2324i 0.204569 0.978852i
\(276\) 0.0137433 + 0.00793471i 0.000827251 + 0.000477613i
\(277\) −13.1805 10.6734i −0.791939 0.641300i 0.145535 0.989353i \(-0.453510\pi\)
−0.937475 + 0.348053i \(0.886843\pi\)
\(278\) −0.229977 4.38822i −0.0137931 0.263188i
\(279\) −0.594338 + 1.82919i −0.0355821 + 0.109510i
\(280\) 5.79846 1.17381i 0.346524 0.0701487i
\(281\) −1.37324 0.997716i −0.0819205 0.0595188i 0.546071 0.837739i \(-0.316123\pi\)
−0.627992 + 0.778220i \(0.716123\pi\)
\(282\) −2.88327 + 4.43984i −0.171696 + 0.264389i
\(283\) 15.4560 10.0373i 0.918766 0.596654i 0.00371555 0.999993i \(-0.498817\pi\)
0.915050 + 0.403340i \(0.132151\pi\)
\(284\) 6.34301 0.666677i 0.376388 0.0395600i
\(285\) −5.66381 + 5.00983i −0.335495 + 0.296757i
\(286\) 4.08433 21.4271i 0.241512 1.26701i
\(287\) −5.26986 + 0.549251i −0.311070 + 0.0324213i
\(288\) −2.37475 0.376124i −0.139934 0.0221633i
\(289\) −6.41840 5.77915i −0.377553 0.339950i
\(290\) 2.87528 + 2.12807i 0.168842 + 0.124965i
\(291\) 12.0741 5.37575i 0.707799 0.315132i
\(292\) 11.1077 8.99487i 0.650031 0.526385i
\(293\) −10.5416 20.6890i −0.615844 1.20866i −0.962656 0.270727i \(-0.912736\pi\)
0.346812 0.937935i \(-0.387264\pi\)
\(294\) 4.68336 2.69309i 0.273139 0.157064i
\(295\) −0.153115 3.51555i −0.00891468 0.204683i
\(296\) 2.04370 + 3.53979i 0.118787 + 0.205746i
\(297\) −3.29789 + 13.4347i −0.191363 + 0.779560i
\(298\) −9.55284 + 2.55968i −0.553381 + 0.148278i
\(299\) −0.123542 0.0550045i −0.00714462 0.00318099i
\(300\) −3.84944 0.270009i −0.222248 0.0155890i
\(301\) 10.7087 + 16.5214i 0.617241 + 0.952279i
\(302\) 10.8948 1.72557i 0.626925 0.0992952i
\(303\) −2.77425 + 2.24654i −0.159376 + 0.129060i
\(304\) −2.93186 3.25616i −0.168154 0.186754i
\(305\) 6.71220 + 6.83184i 0.384339 + 0.391190i
\(306\) −2.82812 + 6.35206i −0.161673 + 0.363123i
\(307\) 3.94042 + 3.94042i 0.224892 + 0.224892i 0.810555 0.585663i \(-0.199166\pi\)
−0.585663 + 0.810555i \(0.699166\pi\)
\(308\) 8.70657 1.09344i 0.496103 0.0623046i
\(309\) 0.284853i 0.0162047i
\(310\) −1.74626 0.387333i −0.0991809 0.0219990i
\(311\) −3.26217 + 15.3473i −0.184981 + 0.870266i 0.783542 + 0.621339i \(0.213411\pi\)
−0.968522 + 0.248927i \(0.919922\pi\)
\(312\) −5.06891 0.265651i −0.286971 0.0150395i
\(313\) 13.0993 + 16.1763i 0.740417 + 0.914339i 0.998661 0.0517410i \(-0.0164770\pi\)
−0.258243 + 0.966080i \(0.583144\pi\)
\(314\) 4.45167 + 3.23433i 0.251222 + 0.182524i
\(315\) 13.7748 3.54804i 0.776119 0.199909i
\(316\) −0.539818 1.66139i −0.0303671 0.0934604i
\(317\) −2.51072 + 0.963775i −0.141016 + 0.0541310i −0.427852 0.903849i \(-0.640730\pi\)
0.286836 + 0.957980i \(0.407396\pi\)
\(318\) −0.828596 3.09236i −0.0464654 0.173411i
\(319\) 4.01691 + 3.46632i 0.224904 + 0.194077i
\(320\) 0.136748 2.23188i 0.00764445 0.124766i
\(321\) 8.23922 + 11.3403i 0.459868 + 0.632954i
\(322\) 0.00573363 0.0540992i 0.000319523 0.00301483i
\(323\) −11.2902 + 5.75262i −0.628201 + 0.320084i
\(324\) −3.97211 0.417486i −0.220673 0.0231937i
\(325\) 32.8644 1.14059i 1.82299 0.0632687i
\(326\) −12.6790 14.0815i −0.702226 0.779901i
\(327\) 12.4600 0.652999i 0.689038 0.0361110i
\(328\) −0.313277 + 1.97795i −0.0172978 + 0.109214i
\(329\) 17.9222 + 2.85458i 0.988083 + 0.157378i
\(330\) −5.66375 0.826063i −0.311779 0.0454733i
\(331\) 9.48243 + 16.4240i 0.521201 + 0.902747i 0.999696 + 0.0246567i \(0.00784928\pi\)
−0.478495 + 0.878090i \(0.658817\pi\)
\(332\) −5.52947 + 6.82832i −0.303469 + 0.374753i
\(333\) 5.35247 + 8.24208i 0.293313 + 0.451663i
\(334\) −24.4153 + 5.18963i −1.33595 + 0.283964i
\(335\) 14.5162 31.8439i 0.793107 1.73982i
\(336\) −0.526777 1.97282i −0.0287380 0.107626i
\(337\) −14.4169 28.2949i −0.785341 1.54132i −0.839858 0.542806i \(-0.817362\pi\)
0.0545169 0.998513i \(-0.482638\pi\)
\(338\) 30.2133 1.58341i 1.64339 0.0861263i
\(339\) −0.238972 2.27366i −0.0129792 0.123488i
\(340\) −6.13214 2.05252i −0.332562 0.111313i
\(341\) −2.53994 0.766467i −0.137546 0.0415065i
\(342\) −7.44932 7.44932i −0.402813 0.402813i
\(343\) −14.9548 10.9250i −0.807481 0.589894i
\(344\) 7.07731 2.29956i 0.381583 0.123984i
\(345\) −0.0130089 + 0.0330146i −0.000700374 + 0.00177744i
\(346\) −6.52580 14.6572i −0.350829 0.787975i
\(347\) −7.96405 + 20.7471i −0.427533 + 1.11376i 0.535538 + 0.844511i \(0.320109\pi\)
−0.963071 + 0.269249i \(0.913224\pi\)
\(348\) 0.672438 1.03546i 0.0360465 0.0555067i
\(349\) 4.12778 + 12.7040i 0.220955 + 0.680029i 0.998677 + 0.0514211i \(0.0163751\pi\)
−0.777722 + 0.628608i \(0.783625\pi\)
\(350\) 4.51102 + 12.4359i 0.241124 + 0.664725i
\(351\) −27.4318 −1.46420
\(352\) 0.449658 3.28600i 0.0239668 0.175144i
\(353\) −7.10736 26.5250i −0.378287 1.41179i −0.848483 0.529223i \(-0.822483\pi\)
0.470196 0.882562i \(-0.344183\pi\)
\(354\) −1.20789 + 0.126955i −0.0641987 + 0.00674756i
\(355\) 3.56932 + 13.8076i 0.189440 + 0.732834i
\(356\) −6.38983 2.07618i −0.338660 0.110037i
\(357\) −5.90512 0.00513545i −0.312532 0.000271797i
\(358\) 3.41730 + 21.5760i 0.180610 + 1.14033i
\(359\) −0.349131 1.64253i −0.0184264 0.0866894i 0.967974 0.251052i \(-0.0807766\pi\)
−0.986400 + 0.164363i \(0.947443\pi\)
\(360\) 0.0474931 5.37609i 0.00250310 0.283345i
\(361\) −0.0207419 0.197346i −0.00109168 0.0103866i
\(362\) 2.30562 8.60470i 0.121181 0.452253i
\(363\) −8.28564 1.84963i −0.434883 0.0970802i
\(364\) 6.22171 + 16.2503i 0.326106 + 0.851749i
\(365\) 23.5611 + 21.5945i 1.23325 + 1.13031i
\(366\) 2.21192 2.45659i 0.115619 0.128408i
\(367\) −1.52275 + 29.0558i −0.0794869 + 1.51670i 0.610000 + 0.792402i \(0.291170\pi\)
−0.689487 + 0.724298i \(0.742164\pi\)
\(368\) −0.0191964 0.00736880i −0.00100068 0.000384125i
\(369\) −0.503303 + 4.78860i −0.0262009 + 0.249285i
\(370\) −7.15341 + 5.68883i −0.371888 + 0.295748i
\(371\) −8.53513 + 6.89933i −0.443122 + 0.358195i
\(372\) −0.0965781 + 0.609770i −0.00500734 + 0.0316151i
\(373\) 8.39721 31.3388i 0.434791 1.62266i −0.306774 0.951782i \(-0.599250\pi\)
0.741565 0.670881i \(-0.234084\pi\)
\(374\) −8.84249 3.71558i −0.457234 0.192128i
\(375\) −0.674237 8.60238i −0.0348175 0.444225i
\(376\) 2.78994 6.26632i 0.143880 0.323161i
\(377\) −4.77655 + 9.37450i −0.246005 + 0.482811i
\(378\) −3.40099 10.4982i −0.174928 0.539970i
\(379\) 2.88812 3.97515i 0.148353 0.204190i −0.728373 0.685181i \(-0.759723\pi\)
0.876725 + 0.480991i \(0.159723\pi\)
\(380\) 6.23282 7.55937i 0.319737 0.387787i
\(381\) 8.08976 7.28405i 0.414451 0.373173i
\(382\) −4.27089 + 2.77355i −0.218518 + 0.141907i
\(383\) 5.81107 2.23066i 0.296932 0.113981i −0.205341 0.978690i \(-0.565830\pi\)
0.502273 + 0.864709i \(0.332497\pi\)
\(384\) −0.771780 −0.0393847
\(385\) 5.29375 + 18.8938i 0.269795 + 0.962918i
\(386\) 2.02001 0.102816
\(387\) 16.7037 6.41195i 0.849097 0.325938i
\(388\) −14.3623 + 9.32698i −0.729135 + 0.473506i
\(389\) 16.2074 14.5932i 0.821749 0.739906i −0.146683 0.989184i \(-0.546860\pi\)
0.968432 + 0.249277i \(0.0801930\pi\)
\(390\) −1.08664 11.2979i −0.0550240 0.572089i
\(391\) −0.0349520 + 0.0481073i −0.00176760 + 0.00243289i
\(392\) −5.44768 + 4.39577i −0.275149 + 0.222020i
\(393\) 6.50504 12.7669i 0.328136 0.644003i
\(394\) 4.60831 10.3504i 0.232163 0.521448i
\(395\) 3.49594 1.74254i 0.175900 0.0876769i
\(396\) 0.666164 7.94647i 0.0334760 0.399325i
\(397\) 1.61509 6.02760i 0.0810591 0.302517i −0.913480 0.406884i \(-0.866615\pi\)
0.994539 + 0.104368i \(0.0332819\pi\)
\(398\) −1.47172 + 9.29206i −0.0737706 + 0.465769i
\(399\) 3.21357 8.34991i 0.160880 0.418019i
\(400\) 4.98107 0.434710i 0.249053 0.0217355i
\(401\) 2.91803 27.7632i 0.145719 1.38643i −0.640252 0.768165i \(-0.721170\pi\)
0.785972 0.618262i \(-0.212163\pi\)
\(402\) −11.2768 4.32875i −0.562435 0.215899i
\(403\) 0.275340 5.25381i 0.0137157 0.261711i
\(404\) 3.09500 3.43734i 0.153982 0.171014i
\(405\) −0.388601 8.92238i −0.0193097 0.443357i
\(406\) −4.17983 0.665748i −0.207442 0.0330405i
\(407\) −11.2111 + 7.62137i −0.555715 + 0.377777i
\(408\) −0.577665 + 2.15587i −0.0285987 + 0.106732i
\(409\) −0.403453 3.83860i −0.0199495 0.189807i 0.980009 0.198955i \(-0.0637547\pi\)
−0.999958 + 0.00914816i \(0.997088\pi\)
\(410\) −4.47779 0.0395574i −0.221142 0.00195360i
\(411\) −1.52040 7.15293i −0.0749959 0.352828i
\(412\) 0.0577376 + 0.364541i 0.00284453 + 0.0179597i
\(413\) 2.07866 + 3.60759i 0.102284 + 0.177518i
\(414\) −0.0470189 0.0152774i −0.00231085 0.000750842i
\(415\) −16.9274 9.97343i −0.830932 0.489576i
\(416\) 6.54081 0.687467i 0.320689 0.0337058i
\(417\) −0.877756 3.27583i −0.0429839 0.160418i
\(418\) 10.0568 10.4901i 0.491896 0.513089i
\(419\) −7.00220 −0.342080 −0.171040 0.985264i \(-0.554713\pi\)
−0.171040 + 0.985264i \(0.554713\pi\)
\(420\) 4.18899 1.81656i 0.204402 0.0886391i
\(421\) −0.184965 0.569263i −0.00901463 0.0277442i 0.946448 0.322856i \(-0.104643\pi\)
−0.955463 + 0.295112i \(0.904643\pi\)
\(422\) −7.42825 + 11.4385i −0.361601 + 0.556817i
\(423\) 5.91031 15.3969i 0.287369 0.748622i
\(424\) 1.68720 + 3.78951i 0.0819376 + 0.184035i
\(425\) 2.51394 14.2394i 0.121944 0.690711i
\(426\) 4.68146 1.52110i 0.226817 0.0736974i
\(427\) −10.7745 3.51121i −0.521415 0.169920i
\(428\) −12.8428 12.8428i −0.620779 0.620779i
\(429\) −0.354915 16.8310i −0.0171355 0.812609i
\(430\) 7.42303 + 14.8923i 0.357970 + 0.718170i
\(431\) −3.50301 33.3290i −0.168734 1.60540i −0.671519 0.740988i \(-0.734358\pi\)
0.502784 0.864412i \(-0.332309\pi\)
\(432\) −4.16526 + 0.218292i −0.200401 + 0.0105026i
\(433\) 0.735552 + 1.44360i 0.0353484 + 0.0693751i 0.908005 0.418959i \(-0.137605\pi\)
−0.872657 + 0.488334i \(0.837605\pi\)
\(434\) 2.04478 0.545992i 0.0981526 0.0262084i
\(435\) 2.51206 + 1.14514i 0.120444 + 0.0549052i
\(436\) −15.8133 + 3.36123i −0.757321 + 0.160974i
\(437\) −0.0490692 0.0755600i −0.00234730 0.00361452i
\(438\) 6.94206 8.57273i 0.331705 0.409621i
\(439\) −16.5718 28.7033i −0.790931 1.36993i −0.925391 0.379014i \(-0.876263\pi\)
0.134460 0.990919i \(-0.457070\pi\)
\(440\) 7.41564 0.0908458i 0.353527 0.00433090i
\(441\) −12.5271 + 11.2400i −0.596527 + 0.535239i
\(442\) 2.97533 18.7855i 0.141522 0.893536i
\(443\) −9.16966 + 0.480561i −0.435664 + 0.0228322i −0.268907 0.963166i \(-0.586663\pi\)
−0.166756 + 0.985998i \(0.553329\pi\)
\(444\) 2.11082 + 2.34430i 0.100175 + 0.111256i
\(445\) 2.48116 14.8171i 0.117618 0.702398i
\(446\) 11.9468 + 1.25566i 0.565699 + 0.0594574i
\(447\) −6.80085 + 3.46521i −0.321669 + 0.163899i
\(448\) 1.07402 + 2.41795i 0.0507428 + 0.114237i
\(449\) 0.630596 + 0.867941i 0.0297597 + 0.0409607i 0.823638 0.567117i \(-0.191941\pi\)
−0.793878 + 0.608077i \(0.791941\pi\)
\(450\) 11.9051 1.67055i 0.561214 0.0787507i
\(451\) −6.61868 0.554854i −0.311662 0.0261270i
\(452\) 0.766680 + 2.86129i 0.0360616 + 0.134584i
\(453\) 7.94776 3.05086i 0.373418 0.143342i
\(454\) −0.234483 0.721663i −0.0110048 0.0338693i
\(455\) −33.8834 + 19.1267i −1.58848 + 0.896672i
\(456\) −2.73580 1.98767i −0.128115 0.0930814i
\(457\) −2.88964 3.56841i −0.135172 0.166923i 0.705065 0.709142i \(-0.250918\pi\)
−0.840237 + 0.542219i \(0.817584\pi\)
\(458\) 2.41467 + 0.126547i 0.112830 + 0.00591317i
\(459\) −2.50785 + 11.7985i −0.117057 + 0.550708i
\(460\) 0.00995633 0.0448873i 0.000464216 0.00209288i
\(461\) 36.1594i 1.68411i −0.539391 0.842055i \(-0.681346\pi\)
0.539391 0.842055i \(-0.318654\pi\)
\(462\) 6.39726 2.22253i 0.297628 0.103401i
\(463\) 25.5466 + 25.5466i 1.18725 + 1.18725i 0.977824 + 0.209428i \(0.0671603\pi\)
0.209428 + 0.977824i \(0.432840\pi\)
\(464\) −0.650674 + 1.46144i −0.0302068 + 0.0678455i
\(465\) −1.38043 0.0121949i −0.0640159 0.000565524i
\(466\) −20.2681 22.5100i −0.938901 1.04276i
\(467\) −12.4699 + 10.0979i −0.577036 + 0.467274i −0.872862 0.487967i \(-0.837738\pi\)
0.295826 + 0.955242i \(0.404405\pi\)
\(468\) 15.6184 2.47371i 0.721959 0.114347i
\(469\) 2.13119 + 41.3536i 0.0984092 + 1.90953i
\(470\) 14.7797 + 4.10047i 0.681736 + 0.189141i
\(471\) 3.87962 + 1.72732i 0.178763 + 0.0795906i
\(472\) 1.52007 0.407302i 0.0699669 0.0187476i
\(473\) 9.32859 + 22.8499i 0.428929 + 1.05064i
\(474\) −0.674106 1.16759i −0.0309627 0.0536290i
\(475\) 18.7764 + 11.2875i 0.861521 + 0.517905i
\(476\) 7.55813 1.19035i 0.346427 0.0545598i
\(477\) 4.52792 + 8.88654i 0.207319 + 0.406887i
\(478\) −0.0228204 + 0.0184796i −0.00104378 + 0.000845236i
\(479\) −12.2839 + 5.46914i −0.561265 + 0.249891i −0.667703 0.744428i \(-0.732722\pi\)
0.106437 + 0.994319i \(0.466056\pi\)
\(480\) −0.254899 1.70682i −0.0116345 0.0779055i
\(481\) −19.9773 17.9877i −0.910887 0.820166i
\(482\) 20.3605 + 3.22479i 0.927395 + 0.146885i
\(483\) −0.00435247 0.0417603i −0.000198044 0.00190016i
\(484\) 10.9785 + 0.687624i 0.499022 + 0.0312556i
\(485\) −25.3705 28.6824i −1.15202 1.30240i
\(486\) −15.5100 + 1.63016i −0.703547 + 0.0739457i
\(487\) 11.8820 7.71626i 0.538425 0.349657i −0.246604 0.969116i \(-0.579315\pi\)
0.785029 + 0.619459i \(0.212648\pi\)
\(488\) −2.33278 + 3.59217i −0.105600 + 0.162610i
\(489\) −11.8311 8.59581i −0.535022 0.388716i
\(490\) −11.5207 10.5960i −0.520451 0.478676i
\(491\) −0.932254 + 2.86918i −0.0420720 + 0.129484i −0.969886 0.243558i \(-0.921685\pi\)
0.927814 + 0.373042i \(0.121685\pi\)
\(492\) 0.0808890 + 1.54345i 0.00364676 + 0.0695843i
\(493\) 3.59533 + 2.91144i 0.161926 + 0.131125i
\(494\) 24.9563 + 14.4085i 1.12284 + 0.648271i
\(495\) 17.7940 1.15127i 0.799780 0.0517456i
\(496\) 0.799931i 0.0359180i
\(497\) −11.2803 12.5500i −0.505991 0.562944i
\(498\) −3.07859 + 6.04207i −0.137955 + 0.270752i
\(499\) 1.90640 + 8.96891i 0.0853422 + 0.401503i 0.999996 0.00273407i \(-0.000870282\pi\)
−0.914654 + 0.404237i \(0.867537\pi\)
\(500\) 2.60650 + 10.8723i 0.116566 + 0.486222i
\(501\) −17.5987 + 7.83546i −0.786253 + 0.350063i
\(502\) −2.16094 1.40333i −0.0964477 0.0626338i
\(503\) −5.12947 2.61360i −0.228712 0.116535i 0.335880 0.941905i \(-0.390966\pi\)
−0.564592 + 0.825370i \(0.690966\pi\)
\(504\) 2.88305 + 5.67049i 0.128421 + 0.252584i
\(505\) 8.62402 + 5.70945i 0.383764 + 0.254067i
\(506\) 0.0197019 0.0652889i 0.000875856 0.00290244i
\(507\) 22.5544 6.04343i 1.00168 0.268398i
\(508\) −8.87647 + 10.9615i −0.393830 + 0.486339i
\(509\) −21.3257 + 23.6846i −0.945245 + 1.04980i 0.0534416 + 0.998571i \(0.482981\pi\)
−0.998687 + 0.0512303i \(0.983686\pi\)
\(510\) −4.95859 0.565499i −0.219570 0.0250407i
\(511\) −36.5186 9.81919i −1.61549 0.434375i
\(512\) 0.987688 0.156434i 0.0436501 0.00691349i
\(513\) −15.3272 9.95358i −0.676711 0.439461i
\(514\) −27.8960 5.92948i −1.23044 0.261538i
\(515\) −0.787129 + 0.248088i −0.0346850 + 0.0109321i
\(516\) 4.97378 2.87161i 0.218958 0.126416i
\(517\) 21.4060 + 7.70324i 0.941434 + 0.338788i
\(518\) 4.40713 9.87546i 0.193638 0.433903i
\(519\) −7.27834 10.0178i −0.319484 0.439732i
\(520\) 3.68062 + 14.2382i 0.161406 + 0.624387i
\(521\) −7.32691 + 6.59718i −0.320998 + 0.289028i −0.813838 0.581092i \(-0.802626\pi\)
0.492840 + 0.870120i \(0.335959\pi\)
\(522\) −1.37841 + 3.59088i −0.0603313 + 0.157168i
\(523\) 9.70278 + 11.9819i 0.424273 + 0.523933i 0.943798 0.330521i \(-0.107225\pi\)
−0.519526 + 0.854455i \(0.673891\pi\)
\(524\) −5.73709 + 17.6570i −0.250626 + 0.771348i
\(525\) 5.40092 + 8.66417i 0.235716 + 0.378135i
\(526\) 13.0757 9.50008i 0.570129 0.414223i
\(527\) −2.23451 0.598735i −0.0973368 0.0260813i
\(528\) −0.187825 2.55280i −0.00817405 0.111097i
\(529\) 19.9182 + 11.4998i 0.866009 + 0.499991i
\(530\) −7.82342 + 4.98289i −0.339828 + 0.216443i
\(531\) 3.59853 1.16923i 0.156163 0.0507404i
\(532\) −2.42010 + 11.3372i −0.104925 + 0.491530i
\(533\) −2.06037 13.0087i −0.0892446 0.563468i
\(534\) −5.15693 0.542015i −0.223162 0.0234553i
\(535\) 24.1607 32.6440i 1.04456 1.41132i
\(536\) 15.3089 + 3.25401i 0.661245 + 0.140552i
\(537\) 6.04190 + 15.7397i 0.260727 + 0.679217i
\(538\) −8.94591 + 8.94591i −0.385685 + 0.385685i
\(539\) −15.8656 16.9494i −0.683380 0.730063i
\(540\) −1.85844 9.13955i −0.0799746 0.393303i
\(541\) 3.66532 + 1.63191i 0.157585 + 0.0701612i 0.484013 0.875061i \(-0.339179\pi\)
−0.326429 + 0.945222i \(0.605845\pi\)
\(542\) −10.1707 15.6615i −0.436868 0.672718i
\(543\) 0.359820 6.86578i 0.0154414 0.294639i
\(544\) 0.302288 2.87608i 0.0129605 0.123311i
\(545\) −12.6562 33.8617i −0.542134 1.45048i
\(546\) 7.30443 + 11.2693i 0.312601 + 0.482281i
\(547\) 6.65770 + 3.39227i 0.284663 + 0.145043i 0.590492 0.807043i \(-0.298934\pi\)
−0.305829 + 0.952086i \(0.598934\pi\)
\(548\) 3.39559 + 8.84581i 0.145052 + 0.377874i
\(549\) −5.14913 + 8.91855i −0.219760 + 0.380635i
\(550\) 2.65011 + 16.3700i 0.113001 + 0.698019i
\(551\) −6.07035 + 3.50472i −0.258606 + 0.149306i
\(552\) −0.0156740 0.00248252i −0.000667132 0.000105663i
\(553\) −2.71989 + 3.73677i −0.115662 + 0.158904i
\(554\) 16.1300 + 5.24097i 0.685300 + 0.222667i
\(555\) −4.48737 + 5.44243i −0.190478 + 0.231018i
\(556\) 1.78730 + 4.01434i 0.0757984 + 0.170246i
\(557\) 18.6283 + 0.976269i 0.789307 + 0.0413658i 0.442729 0.896655i \(-0.354010\pi\)
0.346578 + 0.938021i \(0.387344\pi\)
\(558\) −0.100659 1.92068i −0.00426122 0.0813090i
\(559\) −39.5947 + 28.7672i −1.67468 + 1.21672i
\(560\) −4.99267 + 3.17383i −0.210979 + 0.134119i
\(561\) −7.27153 1.38606i −0.307004 0.0585197i
\(562\) 1.63958 + 0.439324i 0.0691614 + 0.0185318i
\(563\) −1.20201 0.973370i −0.0506588 0.0410227i 0.603657 0.797244i \(-0.293710\pi\)
−0.654315 + 0.756222i \(0.727043\pi\)
\(564\) 1.10066 5.17822i 0.0463463 0.218042i
\(565\) −6.07465 + 2.64056i −0.255562 + 0.111089i
\(566\) −10.8324 + 14.9095i −0.455320 + 0.626695i
\(567\) 5.27559 + 9.15598i 0.221554 + 0.384515i
\(568\) −5.68279 + 2.89553i −0.238445 + 0.121494i
\(569\) −10.8405 9.76083i −0.454457 0.409195i 0.409855 0.912151i \(-0.365579\pi\)
−0.864312 + 0.502956i \(0.832246\pi\)
\(570\) 3.49226 6.70681i 0.146275 0.280917i
\(571\) 16.4454 28.4842i 0.688218 1.19203i −0.284196 0.958766i \(-0.591727\pi\)
0.972414 0.233262i \(-0.0749399\pi\)
\(572\) 3.86573 + 21.4676i 0.161634 + 0.897606i
\(573\) −2.77911 + 2.77911i −0.116099 + 0.116099i
\(574\) 4.72300 2.40132i 0.197134 0.100229i
\(575\) 0.102559 + 0.00719370i 0.00427699 + 0.000299998i
\(576\) 2.35181 0.499894i 0.0979923 0.0208289i
\(577\) 30.2400 + 11.6080i 1.25891 + 0.483249i 0.894114 0.447840i \(-0.147807\pi\)
0.364792 + 0.931089i \(0.381140\pi\)
\(578\) 8.06316 + 3.09516i 0.335383 + 0.128741i
\(579\) 1.52494 0.324136i 0.0633743 0.0134706i
\(580\) −3.44693 0.956317i −0.143126 0.0397089i
\(581\) 23.2137 + 1.23682i 0.963068 + 0.0513121i
\(582\) −9.34568 + 9.34568i −0.387391 + 0.387391i
\(583\) −12.1239 + 6.50296i −0.502121 + 0.269325i
\(584\) −7.14650 + 12.3781i −0.295724 + 0.512209i
\(585\) 10.6291 + 33.7237i 0.439457 + 1.39430i
\(586\) 17.2556 + 15.5371i 0.712824 + 0.641830i
\(587\) 40.6427 20.7085i 1.67750 0.854731i 0.685566 0.728011i \(-0.259555\pi\)
0.991938 0.126720i \(-0.0404451\pi\)
\(588\) −3.40718 + 4.19258i −0.140510 + 0.172899i
\(589\) 2.06018 2.83559i 0.0848881 0.116838i
\(590\) 1.40281 + 3.22718i 0.0577526 + 0.132861i
\(591\) 1.81803 8.55316i 0.0747838 0.351830i
\(592\) −3.17650 2.57228i −0.130553 0.105720i
\(593\) 6.50889 + 1.74405i 0.267288 + 0.0716196i 0.389974 0.920826i \(-0.372484\pi\)
−0.122686 + 0.992446i \(0.539151\pi\)
\(594\) −1.73572 13.7242i −0.0712176 0.563112i
\(595\) 5.12878 + 16.3220i 0.210259 + 0.669136i
\(596\) 8.00104 5.81310i 0.327735 0.238114i
\(597\) 0.380002 + 7.25087i 0.0155524 + 0.296758i
\(598\) 0.135048 + 0.00707758i 0.00552253 + 0.000289424i
\(599\) −1.65296 3.71261i −0.0675380 0.151693i 0.876622 0.481179i \(-0.159791\pi\)
−0.944160 + 0.329486i \(0.893125\pi\)
\(600\) 3.69053 1.12744i 0.150665 0.0460276i
\(601\) 44.9786 + 14.6144i 1.83471 + 0.596135i 0.998888 + 0.0471395i \(0.0150105\pi\)
0.835826 + 0.548995i \(0.184989\pi\)
\(602\) −15.9182 11.5864i −0.648778 0.472227i
\(603\) 37.1671 + 5.88669i 1.51356 + 0.239725i
\(604\) −9.55278 + 5.51530i −0.388697 + 0.224414i
\(605\) 2.10521 + 24.5065i 0.0855888 + 0.996331i
\(606\) 1.78489 3.09153i 0.0725064 0.125585i
\(607\) 11.6954 + 30.4676i 0.474702 + 1.23664i 0.936816 + 0.349821i \(0.113758\pi\)
−0.462114 + 0.886821i \(0.652909\pi\)
\(608\) 3.90404 + 1.98921i 0.158330 + 0.0806729i
\(609\) −3.26225 + 0.168122i −0.132193 + 0.00681266i
\(610\) −8.71469 3.97264i −0.352847 0.160848i
\(611\) −4.71557 + 44.8656i −0.190771 + 1.81507i
\(612\) 0.363902 6.94367i 0.0147099 0.280681i
\(613\) −6.97988 10.7481i −0.281915 0.434110i 0.669139 0.743138i \(-0.266663\pi\)
−0.951053 + 0.309027i \(0.899997\pi\)
\(614\) −5.09082 2.26658i −0.205449 0.0914716i
\(615\) −3.38670 + 0.688653i −0.136565 + 0.0277692i
\(616\) −7.73643 + 4.14097i −0.311710 + 0.166844i
\(617\) 31.1739 31.1739i 1.25502 1.25502i 0.301572 0.953443i \(-0.402489\pi\)
0.953443 0.301572i \(-0.0975114\pi\)
\(618\) 0.102082 + 0.265933i 0.00410634 + 0.0106974i
\(619\) 3.93025 + 0.835401i 0.157970 + 0.0335776i 0.286218 0.958165i \(-0.407602\pi\)
−0.128248 + 0.991742i \(0.540935\pi\)
\(620\) 1.76908 0.264197i 0.0710480 0.0106104i
\(621\) −0.0852942 0.00896478i −0.00342274 0.000359744i
\(622\) −2.45448 15.4970i −0.0984159 0.621373i
\(623\) 5.47836 + 16.9107i 0.219486 + 0.677512i
\(624\) 4.82744 1.56853i 0.193252 0.0627915i
\(625\) −23.1836 + 9.35522i −0.927344 + 0.374209i
\(626\) −18.0263 10.4075i −0.720477 0.415968i
\(627\) 5.90880 9.53289i 0.235975 0.380707i
\(628\) −5.31507 1.42417i −0.212094 0.0568305i
\(629\) −9.56291 + 6.94786i −0.381298 + 0.277029i
\(630\) −11.5883 + 8.24881i −0.461690 + 0.328640i
\(631\) 6.06499 18.6661i 0.241443 0.743087i −0.754758 0.656004i \(-0.772246\pi\)
0.996201 0.0870828i \(-0.0277545\pi\)
\(632\) 1.09935 + 1.35759i 0.0437299 + 0.0540019i
\(633\) −3.77225 + 9.82704i −0.149933 + 0.390590i
\(634\) 1.99857 1.79952i 0.0793734 0.0714682i
\(635\) −27.1736 16.0104i −1.07835 0.635353i
\(636\) 1.88176 + 2.59003i 0.0746168 + 0.102701i
\(637\) 25.1411 38.5669i 0.996128 1.52808i
\(638\) −4.99233 1.79656i −0.197648 0.0711265i
\(639\) −13.2804 + 7.66743i −0.525364 + 0.303319i
\(640\) 0.672170 + 2.13265i 0.0265698 + 0.0843003i
\(641\) 24.2286 + 5.14995i 0.956973 + 0.203411i 0.659824 0.751420i \(-0.270631\pi\)
0.297149 + 0.954831i \(0.403964\pi\)
\(642\) −11.7560 7.63442i −0.463971 0.301307i
\(643\) 9.07741 1.43772i 0.357978 0.0566982i 0.0251448 0.999684i \(-0.491995\pi\)
0.332833 + 0.942986i \(0.391995\pi\)
\(644\) 0.0140346 + 0.0525607i 0.000553042 + 0.00207118i
\(645\) 7.99340 + 10.0513i 0.314740 + 0.395769i
\(646\) 8.47871 9.41656i 0.333590 0.370490i
\(647\) −10.4367 + 12.8882i −0.410307 + 0.506687i −0.939846 0.341598i \(-0.889032\pi\)
0.529539 + 0.848286i \(0.322365\pi\)
\(648\) 3.85790 1.03372i 0.151553 0.0406084i
\(649\) 1.71716 + 4.92879i 0.0674044 + 0.193472i
\(650\) −30.2728 + 12.8424i −1.18740 + 0.503720i
\(651\) 1.45602 0.740287i 0.0570661 0.0290141i
\(652\) 16.8832 + 8.60244i 0.661198 + 0.336897i
\(653\) −23.2787 15.1174i −0.910965 0.591588i 0.00183317 0.999998i \(-0.499416\pi\)
−0.912798 + 0.408411i \(0.866083\pi\)
\(654\) −11.3984 + 5.07488i −0.445712 + 0.198444i
\(655\) −40.9439 6.85618i −1.59981 0.267893i
\(656\) −0.416366 1.95885i −0.0162563 0.0764801i
\(657\) −15.6016 + 30.6198i −0.608676 + 1.19459i
\(658\) −17.7548 + 3.75776i −0.692154 + 0.146493i
\(659\) 11.6821i 0.455071i 0.973770 + 0.227535i \(0.0730667\pi\)
−0.973770 + 0.227535i \(0.926933\pi\)
\(660\) 5.58360 1.25851i 0.217341 0.0489874i
\(661\) −24.3255 14.0444i −0.946154 0.546262i −0.0542697 0.998526i \(-0.517283\pi\)
−0.891884 + 0.452264i \(0.850616\pi\)
\(662\) −14.7385 11.9350i −0.572827 0.463866i
\(663\) −0.768240 14.6589i −0.0298360 0.569304i
\(664\) 2.71515 8.35637i 0.105368 0.324290i
\(665\) −25.8720 1.60777i −1.00327 0.0623466i
\(666\) −7.95065 5.77649i −0.308082 0.223834i
\(667\) −0.0179154 + 0.0275873i −0.000693687 + 0.00106818i
\(668\) 20.9339 13.5946i 0.809955 0.525991i
\(669\) 9.22034 0.969096i 0.356479 0.0374674i
\(670\) −2.14023 + 34.9310i −0.0826844 + 1.34950i
\(671\) −12.4495 6.84189i −0.480607 0.264128i
\(672\) 1.19878 + 1.65301i 0.0462441 + 0.0637661i
\(673\) 7.62582 + 1.20781i 0.293954 + 0.0465577i 0.301670 0.953413i \(-0.402456\pi\)
−0.00771584 + 0.999970i \(0.502456\pi\)
\(674\) 23.5993 + 21.2489i 0.909013 + 0.818479i
\(675\) 19.5987 7.12858i 0.754354 0.274379i
\(676\) −27.6391 + 12.3057i −1.06304 + 0.473297i
\(677\) −26.7192 + 21.6368i −1.02690 + 0.831569i −0.985857 0.167588i \(-0.946402\pi\)
−0.0410453 + 0.999157i \(0.513069\pi\)
\(678\) 1.03791 + 2.03701i 0.0398606 + 0.0782308i
\(679\) 42.2852 + 16.2740i 1.62276 + 0.624537i
\(680\) 6.46040 0.281373i 0.247745 0.0107902i
\(681\) −0.292814 0.507169i −0.0112207 0.0194347i
\(682\) 2.64592 0.194676i 0.101318 0.00745454i
\(683\) −17.0006 + 4.55529i −0.650508 + 0.174303i −0.568959 0.822366i \(-0.692654\pi\)
−0.0815496 + 0.996669i \(0.525987\pi\)
\(684\) 9.62414 + 4.28494i 0.367988 + 0.163839i
\(685\) −18.4414 + 10.4310i −0.704610 + 0.398549i
\(686\) 17.8766 + 4.84005i 0.682533 + 0.184794i
\(687\) 1.84317 0.291930i 0.0703215 0.0111378i
\(688\) −5.78315 + 4.68311i −0.220481 + 0.178542i
\(689\) −18.2550 20.2742i −0.695459 0.772385i
\(690\) 0.000313467 0.0354837i 1.19335e−5 0.00135084i
\(691\) 6.65468 14.9467i 0.253156 0.568597i −0.741604 0.670838i \(-0.765935\pi\)
0.994760 + 0.102241i \(0.0326012\pi\)
\(692\) 11.3450 + 11.3450i 0.431273 + 0.431273i
\(693\) −18.0546 + 10.9162i −0.685836 + 0.414673i
\(694\) 22.2231i 0.843578i
\(695\) −8.28758 + 5.27852i −0.314366 + 0.200226i
\(696\) −0.256698 + 1.20767i −0.00973012 + 0.0457766i
\(697\) −5.78344 0.303097i −0.219063 0.0114806i
\(698\) −8.40632 10.3809i −0.318184 0.392924i
\(699\) −18.9127 13.7409i −0.715343 0.519727i
\(700\) −8.66802 9.99327i −0.327620 0.377710i
\(701\) 7.16544 + 22.0529i 0.270635 + 0.832928i 0.990341 + 0.138650i \(0.0442763\pi\)
−0.719707 + 0.694278i \(0.755724\pi\)
\(702\) 25.6098 9.83068i 0.966580 0.371035i
\(703\) −4.63528 17.2991i −0.174823 0.652448i
\(704\) 0.757806 + 3.22889i 0.0285609 + 0.121693i
\(705\) 11.8154 + 0.723931i 0.444992 + 0.0272648i
\(706\) 16.1410 + 22.2162i 0.607475 + 0.836118i
\(707\) −12.1695 1.28977i −0.457681 0.0485067i
\(708\) 1.08217 0.551392i 0.0406704 0.0207226i
\(709\) −3.08451 0.324195i −0.115841 0.0121754i 0.0464304 0.998922i \(-0.485215\pi\)
−0.162272 + 0.986746i \(0.551882\pi\)
\(710\) −8.28047 11.6114i −0.310760 0.435769i
\(711\) 2.81044 + 3.12131i 0.105400 + 0.117058i
\(712\) 6.70946 0.351628i 0.251448 0.0131778i
\(713\) 0.00257308 0.0162458i 9.63625e−5 0.000608409i
\(714\) 5.51474 2.11141i 0.206384 0.0790175i
\(715\) −46.1998 + 15.6394i −1.72777 + 0.584882i
\(716\) −10.9225 18.9183i −0.408192 0.707009i
\(717\) −0.0142622 + 0.0176123i −0.000532631 + 0.000657744i
\(718\) 0.914572 + 1.40832i 0.0341315 + 0.0525579i
\(719\) −19.5629 + 4.15821i −0.729571 + 0.155075i −0.557698 0.830044i \(-0.688315\pi\)
−0.171873 + 0.985119i \(0.554982\pi\)
\(720\) 1.88228 + 5.03603i 0.0701485 + 0.187682i
\(721\) 0.691095 0.689894i 0.0257377 0.0256930i
\(722\) 0.0900868 + 0.176805i 0.00335268 + 0.00658001i
\(723\) 15.8879 0.832649i 0.590877 0.0309666i
\(724\) 0.931165 + 8.85944i 0.0346065 + 0.329259i
\(725\) 0.976501 7.93888i 0.0362663 0.294843i
\(726\) 8.39816 1.24253i 0.311685 0.0461147i
\(727\) 22.6346 + 22.6346i 0.839469 + 0.839469i 0.988789 0.149320i \(-0.0477083\pi\)
−0.149320 + 0.988789i \(0.547708\pi\)
\(728\) −11.6321 12.9413i −0.431113 0.479638i
\(729\) −0.0515915 + 0.0167631i −0.00191080 + 0.000620856i
\(730\) −29.7350 11.7166i −1.10054 0.433651i
\(731\) 8.75309 + 19.6598i 0.323745 + 0.727143i
\(732\) −1.18464 + 3.08610i −0.0437857 + 0.114066i
\(733\) −13.1199 + 20.2029i −0.484596 + 0.746212i −0.993404 0.114668i \(-0.963420\pi\)
0.508808 + 0.860880i \(0.330086\pi\)
\(734\) −8.99106 27.6716i −0.331866 1.02138i
\(735\) −10.3974 6.15041i −0.383513 0.226861i
\(736\) 0.0205621 0.000757929
\(737\) −7.03756 + 51.4290i −0.259232 + 1.89441i
\(738\) −1.24621 4.65091i −0.0458736 0.171203i
\(739\) 3.80798 0.400235i 0.140079 0.0147229i −0.0342295 0.999414i \(-0.510898\pi\)
0.174308 + 0.984691i \(0.444231\pi\)
\(740\) 4.63959 7.87453i 0.170555 0.289473i
\(741\) 21.1519 + 6.87268i 0.777035 + 0.252474i
\(742\) 5.49573 9.49980i 0.201755 0.348749i
\(743\) −2.83071 17.8724i −0.103849 0.655674i −0.983617 0.180271i \(-0.942302\pi\)
0.879768 0.475403i \(-0.157698\pi\)
\(744\) −0.128359 0.603880i −0.00470586 0.0221393i
\(745\) 15.4984 + 15.7747i 0.567819 + 0.577941i
\(746\) 3.39136 + 32.2666i 0.124166 + 1.18136i
\(747\) 5.46772 20.4058i 0.200053 0.746610i
\(748\) 9.58672 + 0.299932i 0.350525 + 0.0109666i
\(749\) −7.55846 + 47.4551i −0.276180 + 1.73397i
\(750\) 3.71227 + 7.78939i 0.135553 + 0.284428i
\(751\) 7.85657 8.72561i 0.286690 0.318402i −0.582547 0.812797i \(-0.697944\pi\)
0.869237 + 0.494395i \(0.164610\pi\)
\(752\) −0.358990 + 6.84994i −0.0130910 + 0.249792i
\(753\) −1.85651 0.712648i −0.0676550 0.0259703i
\(754\) 1.09977 10.4636i 0.0400512 0.381062i
\(755\) −15.3524 19.3048i −0.558730 0.702574i
\(756\) 6.93732 + 8.58212i 0.252308 + 0.312129i
\(757\) 1.35177 8.53477i 0.0491311 0.310201i −0.950869 0.309594i \(-0.899807\pi\)
1.00000 0.000607089i \(-0.000193242\pi\)
\(758\) −1.27172 + 4.74613i −0.0461910 + 0.172387i
\(759\) 0.00439687 0.0524489i 0.000159596 0.00190378i
\(760\) −3.10981 + 9.29092i −0.112805 + 0.337017i
\(761\) 13.6749 30.7143i 0.495714 1.11339i −0.476474 0.879189i \(-0.658085\pi\)
0.972188 0.234203i \(-0.0752480\pi\)
\(762\) −4.94207 + 9.69936i −0.179032 + 0.351371i
\(763\) 31.7615 + 28.6483i 1.14984 + 1.03714i
\(764\) 2.99327 4.11988i 0.108293 0.149052i
\(765\) 15.4764 1.48853i 0.559551 0.0538180i
\(766\) −4.62571 + 4.16500i −0.167134 + 0.150488i
\(767\) −8.68018 + 5.63697i −0.313423 + 0.203539i
\(768\) 0.720519 0.276581i 0.0259995 0.00998027i
\(769\) −10.1560 −0.366236 −0.183118 0.983091i \(-0.558619\pi\)
−0.183118 + 0.983091i \(0.558619\pi\)
\(770\) −11.7131 15.7418i −0.422110 0.567295i
\(771\) −22.0106 −0.792692