Properties

Label 392.2.z.a.37.11
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.11
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.19828 - 0.751090i) q^{2} +(0.581041 + 0.626213i) q^{3} +(0.871727 + 1.80003i) q^{4} +(-0.147712 + 0.478871i) q^{5} +(-0.225904 - 1.18679i) q^{6} +(2.54532 - 0.722043i) q^{7} +(0.307412 - 2.81167i) q^{8} +(0.169656 - 2.26390i) q^{9} +O(q^{10})\) \(q+(-1.19828 - 0.751090i) q^{2} +(0.581041 + 0.626213i) q^{3} +(0.871727 + 1.80003i) q^{4} +(-0.147712 + 0.478871i) q^{5} +(-0.225904 - 1.18679i) q^{6} +(2.54532 - 0.722043i) q^{7} +(0.307412 - 2.81167i) q^{8} +(0.169656 - 2.26390i) q^{9} +(0.536675 - 0.462874i) q^{10} +(-1.85026 + 0.138658i) q^{11} +(-0.620690 + 1.59178i) q^{12} +(0.132527 - 0.275195i) q^{13} +(-3.59231 - 1.04656i) q^{14} +(-0.385702 + 0.185744i) q^{15} +(-2.48018 + 3.13826i) q^{16} +(5.30929 + 0.800247i) q^{17} +(-1.90369 + 2.58535i) q^{18} +(2.82642 + 1.63184i) q^{19} +(-0.990744 + 0.151559i) q^{20} +(1.93109 + 1.17438i) q^{21} +(2.32127 + 1.22356i) q^{22} +(1.54014 - 0.232139i) q^{23} +(1.93932 - 1.44119i) q^{24} +(3.92370 + 2.67513i) q^{25} +(-0.365501 + 0.230220i) q^{26} +(3.51991 - 2.80704i) q^{27} +(3.51852 + 3.95222i) q^{28} +(-1.53472 - 1.22390i) q^{29} +(0.601688 + 0.0671242i) q^{30} +(1.25229 + 2.16902i) q^{31} +(5.32906 - 1.89766i) q^{32} +(-1.16191 - 1.07809i) q^{33} +(-5.76093 - 4.94667i) q^{34} +(-0.0302091 + 1.32553i) q^{35} +(4.22297 - 1.66812i) q^{36} +(-7.96832 + 3.12733i) q^{37} +(-2.16118 - 4.07828i) q^{38} +(0.249335 - 0.0769096i) q^{39} +(1.30102 + 0.562529i) q^{40} +(-2.42235 - 10.6130i) q^{41} +(-1.43191 - 2.85765i) q^{42} +(11.6561 + 2.66042i) q^{43} +(-1.86251 - 3.20965i) q^{44} +(1.05906 + 0.415649i) q^{45} +(-2.01987 - 0.878620i) q^{46} +(-5.80626 + 3.95864i) q^{47} +(-3.40631 + 0.270336i) q^{48} +(5.95731 - 3.67566i) q^{49} +(-2.69240 - 6.15259i) q^{50} +(2.58379 + 3.78972i) q^{51} +(0.610886 - 0.00134317i) q^{52} +(-8.58578 - 3.36967i) q^{53} +(-6.32616 + 0.719831i) q^{54} +(0.206907 - 0.906519i) q^{55} +(-1.24769 - 7.37857i) q^{56} +(0.620390 + 2.71811i) q^{57} +(0.919762 + 2.61929i) q^{58} +(2.05306 + 6.65587i) q^{59} +(-0.670571 - 0.532355i) q^{60} +(8.93192 - 3.50552i) q^{61} +(0.128548 - 3.53967i) q^{62} +(-1.20281 - 5.88485i) q^{63} +(-7.81100 - 1.72868i) q^{64} +(0.112207 + 0.104113i) q^{65} +(0.582541 + 2.16455i) q^{66} +(1.84379 - 1.06451i) q^{67} +(3.18779 + 10.2545i) q^{68} +(1.04026 + 0.829576i) q^{69} +(1.03179 - 1.56567i) q^{70} +(3.67997 + 4.61453i) q^{71} +(-6.31319 - 1.17297i) q^{72} +(-9.40355 - 6.41123i) q^{73} +(11.8971 + 2.23752i) q^{74} +(0.604626 + 4.01143i) q^{75} +(-0.473476 + 6.51015i) q^{76} +(-4.60939 + 1.68890i) q^{77} +(-0.356538 - 0.0951140i) q^{78} +(-3.32010 + 5.75059i) q^{79} +(-1.13647 - 1.65125i) q^{80} +(-2.93166 - 0.441877i) q^{81} +(-5.06868 + 14.5367i) q^{82} +(0.776799 + 1.61304i) q^{83} +(-0.430525 + 4.49974i) q^{84} +(-1.16746 + 2.42426i) q^{85} +(-11.9690 - 11.9427i) q^{86} +(-0.125314 - 1.67220i) q^{87} +(-0.178932 + 5.24496i) q^{88} +(-0.590524 + 7.87999i) q^{89} +(-0.956851 - 1.29351i) q^{90} +(0.138621 - 0.796151i) q^{91} +(1.76044 + 2.56994i) q^{92} +(-0.630642 + 2.04449i) q^{93} +(9.93079 - 0.382517i) q^{94} +(-1.19894 + 1.11245i) q^{95} +(4.28474 + 2.23451i) q^{96} -4.65673 q^{97} +(-9.89925 - 0.0700191i) q^{98} +4.21234i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.19828 0.751090i −0.847309 0.531101i
\(3\) 0.581041 + 0.626213i 0.335464 + 0.361544i 0.878145 0.478395i \(-0.158781\pi\)
−0.542681 + 0.839939i \(0.682591\pi\)
\(4\) 0.871727 + 1.80003i 0.435864 + 0.900013i
\(5\) −0.147712 + 0.478871i −0.0660589 + 0.214158i −0.982584 0.185820i \(-0.940506\pi\)
0.916525 + 0.399978i \(0.130982\pi\)
\(6\) −0.225904 1.18679i −0.0922251 0.484505i
\(7\) 2.54532 0.722043i 0.962041 0.272907i
\(8\) 0.307412 2.81167i 0.108687 0.994076i
\(9\) 0.169656 2.26390i 0.0565520 0.754634i
\(10\) 0.536675 0.462874i 0.169712 0.146374i
\(11\) −1.85026 + 0.138658i −0.557875 + 0.0418070i −0.350685 0.936494i \(-0.614051\pi\)
−0.207191 + 0.978301i \(0.566432\pi\)
\(12\) −0.620690 + 1.59178i −0.179178 + 0.459506i
\(13\) 0.132527 0.275195i 0.0367564 0.0763255i −0.881782 0.471657i \(-0.843656\pi\)
0.918538 + 0.395332i \(0.129370\pi\)
\(14\) −3.59231 1.04656i −0.960086 0.279704i
\(15\) −0.385702 + 0.185744i −0.0995878 + 0.0479590i
\(16\) −2.48018 + 3.13826i −0.620046 + 0.784566i
\(17\) 5.30929 + 0.800247i 1.28769 + 0.194088i 0.756966 0.653455i \(-0.226681\pi\)
0.530726 + 0.847543i \(0.321919\pi\)
\(18\) −1.90369 + 2.58535i −0.448703 + 0.609373i
\(19\) 2.82642 + 1.63184i 0.648426 + 0.374369i 0.787853 0.615864i \(-0.211193\pi\)
−0.139427 + 0.990232i \(0.544526\pi\)
\(20\) −0.990744 + 0.151559i −0.221537 + 0.0338897i
\(21\) 1.93109 + 1.17438i 0.421398 + 0.256270i
\(22\) 2.32127 + 1.22356i 0.494896 + 0.260865i
\(23\) 1.54014 0.232139i 0.321142 0.0484044i 0.0135070 0.999909i \(-0.495700\pi\)
0.307635 + 0.951504i \(0.400462\pi\)
\(24\) 1.93932 1.44119i 0.395863 0.294182i
\(25\) 3.92370 + 2.67513i 0.784739 + 0.535026i
\(26\) −0.365501 + 0.230220i −0.0716806 + 0.0451499i
\(27\) 3.51991 2.80704i 0.677407 0.540214i
\(28\) 3.51852 + 3.95222i 0.664938 + 0.746899i
\(29\) −1.53472 1.22390i −0.284991 0.227273i 0.470551 0.882373i \(-0.344055\pi\)
−0.755542 + 0.655100i \(0.772627\pi\)
\(30\) 0.601688 + 0.0671242i 0.109853 + 0.0122551i
\(31\) 1.25229 + 2.16902i 0.224917 + 0.389568i 0.956295 0.292405i \(-0.0944555\pi\)
−0.731377 + 0.681973i \(0.761122\pi\)
\(32\) 5.32906 1.89766i 0.942054 0.335462i
\(33\) −1.16191 1.07809i −0.202262 0.187672i
\(34\) −5.76093 4.94667i −0.987992 0.848347i
\(35\) −0.0302091 + 1.32553i −0.00510626 + 0.224056i
\(36\) 4.22297 1.66812i 0.703829 0.278020i
\(37\) −7.96832 + 3.12733i −1.30998 + 0.514131i −0.914590 0.404382i \(-0.867487\pi\)
−0.395393 + 0.918512i \(0.629392\pi\)
\(38\) −2.16118 4.07828i −0.350589 0.661585i
\(39\) 0.249335 0.0769096i 0.0399255 0.0123154i
\(40\) 1.30102 + 0.562529i 0.205709 + 0.0889436i
\(41\) −2.42235 10.6130i −0.378307 1.65747i −0.702653 0.711532i \(-0.748001\pi\)
0.324346 0.945938i \(-0.394856\pi\)
\(42\) −1.43191 2.85765i −0.220949 0.440944i
\(43\) 11.6561 + 2.66042i 1.77754 + 0.405711i 0.980230 0.197864i \(-0.0634004\pi\)
0.797306 + 0.603575i \(0.206258\pi\)
\(44\) −1.86251 3.20965i −0.280784 0.483873i
\(45\) 1.05906 + 0.415649i 0.157875 + 0.0619613i
\(46\) −2.01987 0.878620i −0.297814 0.129545i
\(47\) −5.80626 + 3.95864i −0.846930 + 0.577427i −0.907173 0.420757i \(-0.861765\pi\)
0.0602438 + 0.998184i \(0.480812\pi\)
\(48\) −3.40631 + 0.270336i −0.491658 + 0.0390196i
\(49\) 5.95731 3.67566i 0.851044 0.525095i
\(50\) −2.69240 6.15259i −0.380763 0.870108i
\(51\) 2.58379 + 3.78972i 0.361803 + 0.530667i
\(52\) 0.610886 0.00134317i 0.0847147 0.000186264i
\(53\) −8.58578 3.36967i −1.17935 0.462860i −0.306983 0.951715i \(-0.599319\pi\)
−0.872365 + 0.488855i \(0.837415\pi\)
\(54\) −6.32616 + 0.719831i −0.860881 + 0.0979566i
\(55\) 0.206907 0.906519i 0.0278993 0.122235i
\(56\) −1.24769 7.37857i −0.166729 0.986003i
\(57\) 0.620390 + 2.71811i 0.0821726 + 0.360022i
\(58\) 0.919762 + 2.61929i 0.120771 + 0.343929i
\(59\) 2.05306 + 6.65587i 0.267286 + 0.866520i 0.985350 + 0.170543i \(0.0545522\pi\)
−0.718064 + 0.695977i \(0.754972\pi\)
\(60\) −0.670571 0.532355i −0.0865704 0.0687267i
\(61\) 8.93192 3.50552i 1.14362 0.448836i 0.283518 0.958967i \(-0.408498\pi\)
0.860097 + 0.510131i \(0.170403\pi\)
\(62\) 0.128548 3.53967i 0.0163257 0.449538i
\(63\) −1.20281 5.88485i −0.151539 0.741421i
\(64\) −7.81100 1.72868i −0.976374 0.216085i
\(65\) 0.112207 + 0.104113i 0.0139176 + 0.0129136i
\(66\) 0.582541 + 2.16455i 0.0717058 + 0.266438i
\(67\) 1.84379 1.06451i 0.225254 0.130051i −0.383127 0.923696i \(-0.625153\pi\)
0.608381 + 0.793645i \(0.291819\pi\)
\(68\) 3.18779 + 10.2545i 0.386576 + 1.24354i
\(69\) 1.04026 + 0.829576i 0.125232 + 0.0998692i
\(70\) 1.03179 1.56567i 0.123323 0.187133i
\(71\) 3.67997 + 4.61453i 0.436732 + 0.547644i 0.950679 0.310178i \(-0.100389\pi\)
−0.513947 + 0.857822i \(0.671817\pi\)
\(72\) −6.31319 1.17297i −0.744017 0.138235i
\(73\) −9.40355 6.41123i −1.10060 0.750378i −0.130107 0.991500i \(-0.541532\pi\)
−0.970495 + 0.241122i \(0.922484\pi\)
\(74\) 11.8971 + 2.23752i 1.38302 + 0.260106i
\(75\) 0.604626 + 4.01143i 0.0698162 + 0.463200i
\(76\) −0.473476 + 6.51015i −0.0543114 + 0.746765i
\(77\) −4.60939 + 1.68890i −0.525289 + 0.192468i
\(78\) −0.356538 0.0951140i −0.0403699 0.0107695i
\(79\) −3.32010 + 5.75059i −0.373541 + 0.646991i −0.990107 0.140311i \(-0.955190\pi\)
0.616567 + 0.787303i \(0.288523\pi\)
\(80\) −1.13647 1.65125i −0.127061 0.184615i
\(81\) −2.93166 0.441877i −0.325740 0.0490974i
\(82\) −5.06868 + 14.5367i −0.559742 + 1.60531i
\(83\) 0.776799 + 1.61304i 0.0852648 + 0.177054i 0.939241 0.343257i \(-0.111530\pi\)
−0.853977 + 0.520311i \(0.825816\pi\)
\(84\) −0.430525 + 4.49974i −0.0469741 + 0.490962i
\(85\) −1.16746 + 2.42426i −0.126629 + 0.262948i
\(86\) −11.9690 11.9427i −1.29065 1.28781i
\(87\) −0.125314 1.67220i −0.0134351 0.179279i
\(88\) −0.178932 + 5.24496i −0.0190742 + 0.559114i
\(89\) −0.590524 + 7.87999i −0.0625954 + 0.835277i 0.874237 + 0.485499i \(0.161362\pi\)
−0.936833 + 0.349778i \(0.886257\pi\)
\(90\) −0.956851 1.29351i −0.100861 0.136348i
\(91\) 0.138621 0.796151i 0.0145314 0.0834593i
\(92\) 1.76044 + 2.56994i 0.183539 + 0.267934i
\(93\) −0.630642 + 2.04449i −0.0653945 + 0.212004i
\(94\) 9.93079 0.382517i 1.02428 0.0394536i
\(95\) −1.19894 + 1.11245i −0.123008 + 0.114135i
\(96\) 4.28474 + 2.23451i 0.437310 + 0.228059i
\(97\) −4.65673 −0.472819 −0.236410 0.971653i \(-0.575971\pi\)
−0.236410 + 0.971653i \(0.575971\pi\)
\(98\) −9.89925 0.0700191i −0.999975 0.00707300i
\(99\) 4.21234i 0.423356i
\(100\) −1.39491 + 9.39474i −0.139491 + 0.939474i
\(101\) −11.1919 12.0620i −1.11364 1.20022i −0.977812 0.209485i \(-0.932821\pi\)
−0.135827 0.990733i \(-0.543369\pi\)
\(102\) −0.249668 6.48179i −0.0247208 0.641793i
\(103\) −6.83786 2.10920i −0.673754 0.207826i −0.0610460 0.998135i \(-0.519444\pi\)
−0.612708 + 0.790309i \(0.709920\pi\)
\(104\) −0.733019 0.457221i −0.0718784 0.0448342i
\(105\) −0.847620 + 0.751272i −0.0827192 + 0.0733167i
\(106\) 7.75720 + 10.4865i 0.753446 + 1.01854i
\(107\) −18.2950 1.37102i −1.76864 0.132541i −0.849784 0.527131i \(-0.823268\pi\)
−0.918857 + 0.394590i \(0.870887\pi\)
\(108\) 8.12114 + 3.88896i 0.781457 + 0.374215i
\(109\) −3.12514 + 0.234197i −0.299334 + 0.0224320i −0.223551 0.974692i \(-0.571765\pi\)
−0.0757833 + 0.997124i \(0.524146\pi\)
\(110\) −0.928809 + 0.930853i −0.0885584 + 0.0887534i
\(111\) −6.58830 3.17276i −0.625333 0.301145i
\(112\) −4.04690 + 9.77868i −0.382396 + 0.923999i
\(113\) 0.938166 0.451797i 0.0882552 0.0425015i −0.389235 0.921138i \(-0.627261\pi\)
0.477491 + 0.878637i \(0.341546\pi\)
\(114\) 1.29814 3.72301i 0.121582 0.348692i
\(115\) −0.116333 + 0.771820i −0.0108481 + 0.0719726i
\(116\) 0.865194 3.82945i 0.0803312 0.355556i
\(117\) −0.600531 0.346717i −0.0555191 0.0320540i
\(118\) 2.53902 9.51760i 0.233736 0.876166i
\(119\) 14.0917 1.79665i 1.29178 0.164699i
\(120\) 0.403683 + 1.14157i 0.0368510 + 0.104210i
\(121\) −7.47289 + 1.12636i −0.679354 + 0.102396i
\(122\) −13.3359 2.50810i −1.20737 0.227073i
\(123\) 5.23851 7.68349i 0.472341 0.692797i
\(124\) −2.81265 + 4.14494i −0.252583 + 0.372227i
\(125\) −3.81963 + 3.04606i −0.341639 + 0.272448i
\(126\) −2.97876 + 7.95509i −0.265369 + 0.708695i
\(127\) −7.40838 + 9.28982i −0.657388 + 0.824338i −0.993056 0.117642i \(-0.962466\pi\)
0.335669 + 0.941980i \(0.391038\pi\)
\(128\) 8.06133 + 7.93820i 0.712527 + 0.701644i
\(129\) 5.10667 + 8.84501i 0.449617 + 0.778759i
\(130\) −0.0562568 0.209034i −0.00493405 0.0183335i
\(131\) 3.68305 3.96938i 0.321789 0.346807i −0.551353 0.834272i \(-0.685888\pi\)
0.873142 + 0.487466i \(0.162079\pi\)
\(132\) 0.927728 3.03127i 0.0807484 0.263838i
\(133\) 8.37240 + 2.11274i 0.725979 + 0.183198i
\(134\) −3.00891 0.109273i −0.259930 0.00943975i
\(135\) 0.824274 + 2.10022i 0.0709422 + 0.180758i
\(136\) 3.88217 14.6820i 0.332893 1.25897i
\(137\) −5.50113 + 1.69687i −0.469993 + 0.144974i −0.520700 0.853740i \(-0.674329\pi\)
0.0507066 + 0.998714i \(0.483853\pi\)
\(138\) −0.623426 1.77539i −0.0530695 0.151131i
\(139\) 2.98905 0.682231i 0.253528 0.0578661i −0.0938680 0.995585i \(-0.529923\pi\)
0.347396 + 0.937719i \(0.387066\pi\)
\(140\) −2.41233 + 1.10113i −0.203879 + 0.0930622i
\(141\) −5.85262 1.33582i −0.492880 0.112497i
\(142\) −0.943684 8.29347i −0.0791922 0.695972i
\(143\) −0.207052 + 0.527560i −0.0173146 + 0.0441168i
\(144\) 6.68394 + 6.14731i 0.556995 + 0.512276i
\(145\) 0.812789 0.554150i 0.0674984 0.0460196i
\(146\) 6.45263 + 14.7453i 0.534023 + 1.22033i
\(147\) 5.76319 + 1.59483i 0.475340 + 0.131540i
\(148\) −12.5755 11.6170i −1.03370 0.954911i
\(149\) 4.81068 + 7.05597i 0.394106 + 0.578048i 0.971092 0.238707i \(-0.0767234\pi\)
−0.576985 + 0.816754i \(0.695771\pi\)
\(150\) 2.28844 5.26093i 0.186850 0.429553i
\(151\) 0.445602 1.13538i 0.0362626 0.0923956i −0.911595 0.411089i \(-0.865149\pi\)
0.947858 + 0.318693i \(0.103244\pi\)
\(152\) 5.45706 7.44532i 0.442626 0.603895i
\(153\) 2.71243 11.8839i 0.219287 0.960759i
\(154\) 6.79184 + 1.43830i 0.547302 + 0.115902i
\(155\) −1.22366 + 0.279292i −0.0982868 + 0.0224333i
\(156\) 0.355791 + 0.381765i 0.0284861 + 0.0305656i
\(157\) −4.67932 15.1700i −0.373450 1.21070i −0.926098 0.377282i \(-0.876859\pi\)
0.552648 0.833415i \(-0.313617\pi\)
\(158\) 8.29760 4.39709i 0.660122 0.349814i
\(159\) −2.87856 7.33444i −0.228284 0.581659i
\(160\) 0.121568 + 2.83224i 0.00961082 + 0.223908i
\(161\) 3.75254 1.70292i 0.295742 0.134209i
\(162\) 3.18105 + 2.73143i 0.249927 + 0.214601i
\(163\) 0.381857 0.411544i 0.0299093 0.0322346i −0.717920 0.696126i \(-0.754906\pi\)
0.747829 + 0.663891i \(0.231096\pi\)
\(164\) 16.9920 13.6119i 1.32685 1.06291i
\(165\) 0.687895 0.397157i 0.0535526 0.0309186i
\(166\) 0.280719 2.51631i 0.0217880 0.195304i
\(167\) 0.783572 0.982569i 0.0606347 0.0760335i −0.750589 0.660769i \(-0.770230\pi\)
0.811224 + 0.584736i \(0.198802\pi\)
\(168\) 3.89560 5.06857i 0.300552 0.391049i
\(169\) 8.04720 + 10.0909i 0.619015 + 0.776221i
\(170\) 3.21978 2.02806i 0.246946 0.155545i
\(171\) 4.17383 6.12189i 0.319181 0.468152i
\(172\) 5.37209 + 23.3004i 0.409618 + 1.77664i
\(173\) −0.533886 3.54210i −0.0405906 0.269301i 0.959325 0.282304i \(-0.0910988\pi\)
−0.999915 + 0.0130035i \(0.995861\pi\)
\(174\) −1.10581 + 2.09788i −0.0838315 + 0.159040i
\(175\) 11.9186 + 3.97598i 0.900963 + 0.300556i
\(176\) 4.15385 6.15051i 0.313108 0.463612i
\(177\) −2.97508 + 5.15299i −0.223621 + 0.387322i
\(178\) 6.62619 8.99886i 0.496654 0.674493i
\(179\) 3.55669 23.5971i 0.265839 1.76373i −0.314408 0.949288i \(-0.601806\pi\)
0.580247 0.814441i \(-0.302956\pi\)
\(180\) 0.175030 + 2.26866i 0.0130459 + 0.169096i
\(181\) −6.57279 13.6485i −0.488552 1.01449i −0.988889 0.148658i \(-0.952505\pi\)
0.500337 0.865831i \(-0.333210\pi\)
\(182\) −0.764087 + 0.849891i −0.0566379 + 0.0629981i
\(183\) 7.38501 + 3.55644i 0.545916 + 0.262899i
\(184\) −0.179241 4.40174i −0.0132138 0.324501i
\(185\) −0.320572 4.27774i −0.0235689 0.314506i
\(186\) 2.29128 1.97619i 0.168005 0.144901i
\(187\) −9.93455 0.744491i −0.726486 0.0544426i
\(188\) −12.1871 7.00056i −0.888837 0.510568i
\(189\) 6.93250 9.68633i 0.504265 0.704577i
\(190\) 2.27220 0.432512i 0.164843 0.0313777i
\(191\) −1.13436 0.349903i −0.0820792 0.0253181i 0.253444 0.967350i \(-0.418437\pi\)
−0.335523 + 0.942032i \(0.608913\pi\)
\(192\) −3.45598 5.89578i −0.249414 0.425492i
\(193\) −9.16433 + 8.50326i −0.659663 + 0.612078i −0.937265 0.348618i \(-0.886651\pi\)
0.277602 + 0.960696i \(0.410460\pi\)
\(194\) 5.58005 + 3.49762i 0.400624 + 0.251115i
\(195\) 0.130760i 0.00936389i
\(196\) 11.8094 + 7.51913i 0.843531 + 0.537081i
\(197\) 12.1515i 0.865757i 0.901452 + 0.432879i \(0.142502\pi\)
−0.901452 + 0.432879i \(0.857498\pi\)
\(198\) 3.16384 5.04754i 0.224845 0.358713i
\(199\) −5.73858 + 5.32463i −0.406797 + 0.377453i −0.856864 0.515542i \(-0.827591\pi\)
0.450067 + 0.892995i \(0.351400\pi\)
\(200\) 8.72778 10.2098i 0.617147 0.721940i
\(201\) 1.73793 + 0.536079i 0.122584 + 0.0378121i
\(202\) 4.35134 + 22.8598i 0.306159 + 1.60841i
\(203\) −4.79008 2.00709i −0.336197 0.140870i
\(204\) −4.56924 + 7.95449i −0.319911 + 0.556926i
\(205\) 5.44006 + 0.407676i 0.379950 + 0.0284734i
\(206\) 6.60944 + 7.66325i 0.460501 + 0.533924i
\(207\) −0.264246 3.52612i −0.0183664 0.245082i
\(208\) 0.534944 + 1.09844i 0.0370917 + 0.0761631i
\(209\) −5.45589 2.62742i −0.377392 0.181742i
\(210\) 1.57995 0.263592i 0.109027 0.0181896i
\(211\) 3.91419 + 8.12789i 0.269464 + 0.559547i 0.991161 0.132661i \(-0.0423522\pi\)
−0.721698 + 0.692208i \(0.756638\pi\)
\(212\) −1.41897 18.3921i −0.0974550 1.26317i
\(213\) −0.751470 + 4.98568i −0.0514899 + 0.341613i
\(214\) 20.8927 + 15.3840i 1.42819 + 1.05163i
\(215\) −2.99574 + 5.18878i −0.204308 + 0.353872i
\(216\) −6.81040 10.7598i −0.463389 0.732108i
\(217\) 4.75360 + 4.61665i 0.322695 + 0.313399i
\(218\) 3.92068 + 2.06663i 0.265542 + 0.139970i
\(219\) −1.44905 9.61381i −0.0979176 0.649641i
\(220\) 1.81212 0.417799i 0.122173 0.0281680i
\(221\) 0.923849 1.35504i 0.0621448 0.0911497i
\(222\) 5.51157 + 8.75024i 0.369912 + 0.587278i
\(223\) −0.134983 0.169263i −0.00903912 0.0113347i 0.777291 0.629141i \(-0.216593\pi\)
−0.786331 + 0.617806i \(0.788022\pi\)
\(224\) 12.1940 8.67797i 0.814744 0.579821i
\(225\) 6.72191 8.42900i 0.448127 0.561934i
\(226\) −1.46352 0.163270i −0.0973520 0.0108606i
\(227\) −21.5088 + 12.4181i −1.42759 + 0.824217i −0.996930 0.0782988i \(-0.975051\pi\)
−0.430656 + 0.902516i \(0.641718\pi\)
\(228\) −4.35185 + 3.48616i −0.288208 + 0.230877i
\(229\) 14.5553 15.6869i 0.961843 1.03662i −0.0374605 0.999298i \(-0.511927\pi\)
0.999303 0.0373219i \(-0.0118827\pi\)
\(230\) 0.719105 0.837476i 0.0474164 0.0552215i
\(231\) −3.73586 1.90514i −0.245801 0.125349i
\(232\) −3.91300 + 3.93890i −0.256901 + 0.258601i
\(233\) 1.01721 + 2.59181i 0.0666396 + 0.169795i 0.960314 0.278921i \(-0.0899768\pi\)
−0.893674 + 0.448716i \(0.851882\pi\)
\(234\) 0.459186 + 0.866515i 0.0300179 + 0.0566459i
\(235\) −1.03802 3.36519i −0.0677131 0.219521i
\(236\) −10.1910 + 9.49767i −0.663379 + 0.618246i
\(237\) −5.53021 + 1.26223i −0.359226 + 0.0819909i
\(238\) −18.2351 8.43122i −1.18201 0.546515i
\(239\) 1.42438 6.24064i 0.0921358 0.403673i −0.907738 0.419537i \(-0.862193\pi\)
0.999874 + 0.0158634i \(0.00504969\pi\)
\(240\) 0.373697 1.67111i 0.0241220 0.107870i
\(241\) −2.30781 + 5.88020i −0.148659 + 0.378777i −0.985734 0.168311i \(-0.946169\pi\)
0.837075 + 0.547088i \(0.184264\pi\)
\(242\) 9.80058 + 4.26313i 0.630005 + 0.274044i
\(243\) −9.03514 13.2521i −0.579604 0.850123i
\(244\) 14.0962 + 13.0218i 0.902418 + 0.833637i
\(245\) 0.880201 + 3.39572i 0.0562340 + 0.216945i
\(246\) −12.0482 + 5.27234i −0.768163 + 0.336152i
\(247\) 0.823651 0.561556i 0.0524077 0.0357309i
\(248\) 6.48355 2.85423i 0.411706 0.181244i
\(249\) −0.558755 + 1.42368i −0.0354097 + 0.0902223i
\(250\) 6.86484 0.781125i 0.434170 0.0494027i
\(251\) 26.9465 + 6.15037i 1.70085 + 0.388208i 0.959233 0.282615i \(-0.0912018\pi\)
0.741617 + 0.670823i \(0.234059\pi\)
\(252\) 9.54436 7.29507i 0.601238 0.459546i
\(253\) −2.81748 + 0.643072i −0.177134 + 0.0404296i
\(254\) 15.8548 5.56740i 0.994817 0.349329i
\(255\) −2.19645 + 0.677514i −0.137547 + 0.0424276i
\(256\) −3.69739 15.5669i −0.231087 0.972933i
\(257\) −3.94089 10.0412i −0.245826 0.626354i 0.753697 0.657222i \(-0.228268\pi\)
−0.999523 + 0.0308670i \(0.990173\pi\)
\(258\) 0.524204 14.4343i 0.0326355 0.898642i
\(259\) −18.0238 + 13.7135i −1.11995 + 0.852118i
\(260\) −0.0895921 + 0.292734i −0.00555627 + 0.0181546i
\(261\) −3.03117 + 3.26682i −0.187625 + 0.202211i
\(262\) −7.39467 + 1.99011i −0.456844 + 0.122949i
\(263\) 10.0251 + 17.3640i 0.618173 + 1.07071i 0.989819 + 0.142333i \(0.0454603\pi\)
−0.371646 + 0.928375i \(0.621206\pi\)
\(264\) −3.38843 + 2.93549i −0.208543 + 0.180667i
\(265\) 2.88186 3.61374i 0.177031 0.221990i
\(266\) −8.44558 8.82008i −0.517832 0.540794i
\(267\) −5.27767 + 4.20880i −0.322988 + 0.257575i
\(268\) 3.52342 + 2.39090i 0.215227 + 0.146047i
\(269\) 1.51732 2.22550i 0.0925128 0.135691i −0.777192 0.629263i \(-0.783357\pi\)
0.869705 + 0.493572i \(0.164309\pi\)
\(270\) 0.589744 3.13574i 0.0358907 0.190835i
\(271\) −26.0427 + 3.92530i −1.58198 + 0.238445i −0.880430 0.474176i \(-0.842746\pi\)
−0.701549 + 0.712621i \(0.747508\pi\)
\(272\) −15.6794 + 14.6772i −0.950703 + 0.889935i
\(273\) 0.579105 0.375790i 0.0350490 0.0227438i
\(274\) 7.86637 + 2.09852i 0.475225 + 0.126776i
\(275\) −7.63080 4.40564i −0.460154 0.265670i
\(276\) −0.586439 + 2.59565i −0.0352995 + 0.156240i
\(277\) −1.25235 + 8.30879i −0.0752464 + 0.499227i 0.919184 + 0.393829i \(0.128850\pi\)
−0.994430 + 0.105398i \(0.966388\pi\)
\(278\) −4.09412 1.42754i −0.245549 0.0856185i
\(279\) 5.12291 2.46706i 0.306701 0.147699i
\(280\) 3.71768 + 0.492423i 0.222174 + 0.0294279i
\(281\) 13.8328 + 6.66154i 0.825198 + 0.397394i 0.798312 0.602244i \(-0.205727\pi\)
0.0268857 + 0.999639i \(0.491441\pi\)
\(282\) 6.00973 + 5.99653i 0.357874 + 0.357088i
\(283\) −18.1641 + 1.36121i −1.07974 + 0.0809156i −0.602703 0.797966i \(-0.705910\pi\)
−0.477041 + 0.878881i \(0.658291\pi\)
\(284\) −5.09835 + 10.6467i −0.302531 + 0.631763i
\(285\) −1.39326 0.104410i −0.0825296 0.00618474i
\(286\) 0.644350 0.476647i 0.0381012 0.0281847i
\(287\) −13.8287 25.2644i −0.816281 1.49131i
\(288\) −3.39201 12.3864i −0.199876 0.729876i
\(289\) 11.3034 + 3.48665i 0.664908 + 0.205097i
\(290\) −1.39016 + 0.0535466i −0.0816331 + 0.00314437i
\(291\) −2.70575 2.91611i −0.158614 0.170945i
\(292\) 3.34305 22.5155i 0.195637 1.31762i
\(293\) 30.1607i 1.76201i 0.473110 + 0.881003i \(0.343131\pi\)
−0.473110 + 0.881003i \(0.656869\pi\)
\(294\) −5.70802 6.23972i −0.332899 0.363908i
\(295\) −3.49056 −0.203228
\(296\) 6.34348 + 23.3657i 0.368707 + 1.35810i
\(297\) −6.12354 + 5.68182i −0.355324 + 0.329693i
\(298\) −0.464849 12.0683i −0.0269280 0.699095i
\(299\) 0.140227 0.454605i 0.00810955 0.0262905i
\(300\) −6.69361 + 4.58521i −0.386456 + 0.264727i
\(301\) 31.5894 1.64456i 1.82078 0.0947911i
\(302\) −1.38672 + 1.02581i −0.0797970 + 0.0590285i
\(303\) 1.05043 14.0171i 0.0603459 0.805260i
\(304\) −12.1312 + 4.82280i −0.695770 + 0.276607i
\(305\) 0.359339 + 4.79504i 0.0205757 + 0.274563i
\(306\) −12.1761 + 12.2029i −0.696064 + 0.697596i
\(307\) 4.14567 8.60857i 0.236606 0.491317i −0.748529 0.663102i \(-0.769239\pi\)
0.985134 + 0.171786i \(0.0549537\pi\)
\(308\) −7.05820 6.82477i −0.402178 0.388877i
\(309\) −2.65227 5.50749i −0.150882 0.313310i
\(310\) 1.67606 + 0.584410i 0.0951936 + 0.0331922i
\(311\) 18.7613 + 2.82782i 1.06386 + 0.160351i 0.657569 0.753394i \(-0.271585\pi\)
0.406289 + 0.913745i \(0.366823\pi\)
\(312\) −0.139596 0.724690i −0.00790307 0.0410275i
\(313\) 3.52247 6.10110i 0.199102 0.344854i −0.749136 0.662417i \(-0.769531\pi\)
0.948237 + 0.317562i \(0.102864\pi\)
\(314\) −5.78691 + 21.6924i −0.326574 + 1.22417i
\(315\) 2.99575 + 0.293275i 0.168792 + 0.0165242i
\(316\) −13.2454 0.963326i −0.745113 0.0541913i
\(317\) 3.79967 + 25.2092i 0.213411 + 1.41589i 0.797069 + 0.603888i \(0.206383\pi\)
−0.583658 + 0.811999i \(0.698379\pi\)
\(318\) −2.05952 + 10.9507i −0.115492 + 0.614087i
\(319\) 3.00935 + 2.05174i 0.168491 + 0.114875i
\(320\) 1.98159 3.48511i 0.110775 0.194824i
\(321\) −9.77158 12.2532i −0.545396 0.683905i
\(322\) −5.77563 0.777932i −0.321863 0.0433525i
\(323\) 13.7004 + 10.9257i 0.762312 + 0.607923i
\(324\) −1.76022 5.66226i −0.0977900 0.314570i
\(325\) 1.25618 0.725256i 0.0696803 0.0402300i
\(326\) −0.766676 + 0.206334i −0.0424623 + 0.0114278i
\(327\) −1.96249 1.82092i −0.108526 0.100697i
\(328\) −30.5849 + 3.54828i −1.68877 + 0.195921i
\(329\) −11.9205 + 14.2684i −0.657197 + 0.786641i
\(330\) −1.12259 0.0407685i −0.0617965 0.00224423i
\(331\) −11.2545 + 4.41706i −0.618603 + 0.242784i −0.653885 0.756594i \(-0.726862\pi\)
0.0352825 + 0.999377i \(0.488767\pi\)
\(332\) −2.22636 + 2.80439i −0.122187 + 0.153911i
\(333\) 5.72810 + 18.5700i 0.313898 + 1.01763i
\(334\) −1.67693 + 0.588854i −0.0917577 + 0.0322207i
\(335\) 0.237413 + 1.04018i 0.0129713 + 0.0568309i
\(336\) −8.47495 + 3.14759i −0.462347 + 0.171715i
\(337\) 1.39261 6.10142i 0.0758602 0.332365i −0.922730 0.385447i \(-0.874047\pi\)
0.998590 + 0.0530817i \(0.0169044\pi\)
\(338\) −2.06361 18.1358i −0.112245 0.986458i
\(339\) 0.828034 + 0.324979i 0.0449726 + 0.0176505i
\(340\) −5.38143 + 0.0118323i −0.291849 + 0.000641695i
\(341\) −2.61781 3.83962i −0.141762 0.207927i
\(342\) −9.59949 + 4.20078i −0.519081 + 0.227152i
\(343\) 12.5093 13.6572i 0.675437 0.737418i
\(344\) 11.0635 31.9552i 0.596502 1.72291i
\(345\) −0.550918 + 0.375610i −0.0296604 + 0.0202221i
\(346\) −2.02069 + 4.64541i −0.108633 + 0.249739i
\(347\) −9.54654 3.74674i −0.512485 0.201136i 0.0949840 0.995479i \(-0.469720\pi\)
−0.607469 + 0.794343i \(0.707815\pi\)
\(348\) 2.90077 1.68327i 0.155497 0.0902329i
\(349\) 23.1853 + 5.29189i 1.24108 + 0.283268i 0.792166 0.610306i \(-0.208954\pi\)
0.448915 + 0.893575i \(0.351811\pi\)
\(350\) −11.2955 13.7163i −0.603768 0.733166i
\(351\) −0.306000 1.34067i −0.0163331 0.0715598i
\(352\) −9.59704 + 4.25009i −0.511524 + 0.226531i
\(353\) 0.275361 0.0849376i 0.0146560 0.00452077i −0.287419 0.957805i \(-0.592797\pi\)
0.302075 + 0.953284i \(0.402321\pi\)
\(354\) 7.43532 3.94014i 0.395183 0.209416i
\(355\) −2.75334 + 1.08061i −0.146132 + 0.0573527i
\(356\) −14.6990 + 5.80624i −0.779043 + 0.307730i
\(357\) 9.31292 + 7.78045i 0.492892 + 0.411785i
\(358\) −21.9854 + 25.6044i −1.16197 + 1.35323i
\(359\) 21.7005 + 20.1351i 1.14531 + 1.06269i 0.997280 + 0.0737057i \(0.0234826\pi\)
0.148026 + 0.988983i \(0.452708\pi\)
\(360\) 1.49423 2.84994i 0.0787531 0.150205i
\(361\) −4.17423 7.22997i −0.219696 0.380525i
\(362\) −2.37527 + 21.2915i −0.124842 + 1.11906i
\(363\) −5.04739 4.02516i −0.264920 0.211266i
\(364\) 1.55393 0.444505i 0.0814481 0.0232984i
\(365\) 4.45917 3.55607i 0.233404 0.186133i
\(366\) −6.17808 9.80840i −0.322933 0.512693i
\(367\) −28.3009 19.2952i −1.47729 1.00720i −0.991067 0.133368i \(-0.957421\pi\)
−0.486226 0.873833i \(-0.661627\pi\)
\(368\) −3.09132 + 5.40912i −0.161146 + 0.281970i
\(369\) −24.4377 + 3.68339i −1.27218 + 0.191750i
\(370\) −2.82883 + 5.36669i −0.147064 + 0.279001i
\(371\) −24.2866 2.37758i −1.26090 0.123438i
\(372\) −4.22988 + 0.647067i −0.219309 + 0.0335488i
\(373\) 31.8669 + 18.3984i 1.65001 + 0.952632i 0.977066 + 0.212936i \(0.0683027\pi\)
0.672941 + 0.739696i \(0.265031\pi\)
\(374\) 11.3451 + 8.35384i 0.586643 + 0.431967i
\(375\) −4.12684 0.622022i −0.213109 0.0321211i
\(376\) 9.34548 + 17.5422i 0.481956 + 0.904671i
\(377\) −0.540205 + 0.260149i −0.0278220 + 0.0133984i
\(378\) −15.5824 + 6.39996i −0.801470 + 0.329178i
\(379\) −9.52896 + 19.7871i −0.489470 + 1.01640i 0.499227 + 0.866471i \(0.333617\pi\)
−0.988698 + 0.149924i \(0.952097\pi\)
\(380\) −3.04758 1.18836i −0.156338 0.0609616i
\(381\) −10.1220 + 0.758537i −0.518565 + 0.0388610i
\(382\) 1.09646 + 1.27128i 0.0560999 + 0.0650445i
\(383\) 1.03641 13.8299i 0.0529581 0.706677i −0.906027 0.423220i \(-0.860900\pi\)
0.958985 0.283457i \(-0.0914813\pi\)
\(384\) −0.287045 + 9.66053i −0.0146482 + 0.492987i
\(385\) −0.127901 2.45678i −0.00651845 0.125209i
\(386\) 17.3681 3.30601i 0.884014 0.168271i
\(387\) 8.00046 25.9369i 0.406686 1.31844i
\(388\) −4.05940 8.38223i −0.206085 0.425543i
\(389\) 4.35630 + 4.69498i 0.220873 + 0.238045i 0.833761 0.552125i \(-0.186183\pi\)
−0.612888 + 0.790170i \(0.709992\pi\)
\(390\) 0.0982122 0.156686i 0.00497317 0.00793410i
\(391\) 8.36284 0.422927
\(392\) −8.50341 17.8799i −0.429487 0.903073i
\(393\) 4.62568 0.233335
\(394\) 9.12686 14.5608i 0.459804 0.733564i
\(395\) −2.26337 2.43933i −0.113882 0.122736i
\(396\) −7.58231 + 3.67201i −0.381026 + 0.184525i
\(397\) 8.36319 27.1128i 0.419736 1.36075i −0.461107 0.887344i \(-0.652548\pi\)
0.880844 0.473408i \(-0.156976\pi\)
\(398\) 10.8757 2.07018i 0.545148 0.103769i
\(399\) 3.54168 + 6.47050i 0.177306 + 0.323930i
\(400\) −18.1267 + 5.67877i −0.906337 + 0.283939i
\(401\) −1.67145 + 22.3040i −0.0834683 + 1.11381i 0.785475 + 0.618894i \(0.212419\pi\)
−0.868943 + 0.494913i \(0.835200\pi\)
\(402\) −1.67987 1.94771i −0.0837843 0.0971429i
\(403\) 0.762867 0.0571690i 0.0380011 0.00284779i
\(404\) 11.9557 30.6606i 0.594816 1.52542i
\(405\) 0.644644 1.33862i 0.0320326 0.0665164i
\(406\) 4.23233 + 6.00282i 0.210047 + 0.297915i
\(407\) 14.3099 6.89126i 0.709313 0.341587i
\(408\) 11.4497 6.09976i 0.566847 0.301983i
\(409\) 22.7502 + 3.42903i 1.12492 + 0.169555i 0.685043 0.728502i \(-0.259783\pi\)
0.439879 + 0.898057i \(0.355021\pi\)
\(410\) −6.21249 4.57449i −0.306813 0.225918i
\(411\) −4.25898 2.45893i −0.210080 0.121290i
\(412\) −2.16413 14.1470i −0.106619 0.696971i
\(413\) 10.0315 + 15.4589i 0.493619 + 0.760683i
\(414\) −2.33179 + 4.42373i −0.114601 + 0.217414i
\(415\) −0.887181 + 0.133721i −0.0435500 + 0.00656410i
\(416\) 0.184017 1.71802i 0.00902219 0.0842331i
\(417\) 2.16398 + 1.47538i 0.105971 + 0.0722496i
\(418\) 4.56423 + 7.24624i 0.223244 + 0.354425i
\(419\) 13.9141 11.0961i 0.679748 0.542081i −0.221621 0.975133i \(-0.571135\pi\)
0.901369 + 0.433052i \(0.142563\pi\)
\(420\) −2.09120 0.870832i −0.102040 0.0424923i
\(421\) −24.8950 19.8531i −1.21331 0.967582i −0.213353 0.976975i \(-0.568439\pi\)
−0.999956 + 0.00939345i \(0.997010\pi\)
\(422\) 1.41451 12.6794i 0.0688571 0.617222i
\(423\) 7.97690 + 13.8164i 0.387850 + 0.671776i
\(424\) −12.1138 + 23.1045i −0.588297 + 1.12205i
\(425\) 18.6913 + 17.3430i 0.906660 + 0.841257i
\(426\) 4.64516 5.40979i 0.225059 0.262105i
\(427\) 20.2035 15.3719i 0.977714 0.743899i
\(428\) −13.4804 34.1266i −0.651598 1.64957i
\(429\) −0.450671 + 0.176875i −0.0217586 + 0.00853962i
\(430\) 7.48697 3.96751i 0.361054 0.191331i
\(431\) −29.7557 + 9.17840i −1.43328 + 0.442108i −0.911616 0.411043i \(-0.865165\pi\)
−0.521664 + 0.853151i \(0.674688\pi\)
\(432\) 0.0791911 + 18.0084i 0.00381008 + 0.866428i
\(433\) 1.27044 + 5.56615i 0.0610534 + 0.267492i 0.996237 0.0866709i \(-0.0276229\pi\)
−0.935184 + 0.354163i \(0.884766\pi\)
\(434\) −2.22860 9.10240i −0.106976 0.436929i
\(435\) 0.819279 + 0.186995i 0.0392814 + 0.00896573i
\(436\) −3.14583 5.42117i −0.150658 0.259627i
\(437\) 4.73191 + 1.85714i 0.226358 + 0.0888389i
\(438\) −5.48448 + 12.6084i −0.262059 + 0.602451i
\(439\) 32.0494 21.8509i 1.52964 1.04289i 0.551685 0.834052i \(-0.313985\pi\)
0.977951 0.208836i \(-0.0669674\pi\)
\(440\) −2.48523 0.860429i −0.118479 0.0410194i
\(441\) −7.31064 14.1103i −0.348126 0.671921i
\(442\) −2.12478 + 0.929815i −0.101066 + 0.0442268i
\(443\) 4.41134 + 6.47024i 0.209589 + 0.307411i 0.916610 0.399781i \(-0.130914\pi\)
−0.707022 + 0.707192i \(0.749962\pi\)
\(444\) −0.0321560 14.6249i −0.00152606 0.694066i
\(445\) −3.68627 1.44675i −0.174746 0.0685827i
\(446\) 0.0346147 + 0.304208i 0.00163906 + 0.0144047i
\(447\) −1.62334 + 7.11232i −0.0767814 + 0.336401i
\(448\) −21.1297 + 1.23983i −0.998283 + 0.0585763i
\(449\) −6.77245 29.6720i −0.319611 1.40031i −0.838236 0.545307i \(-0.816413\pi\)
0.518625 0.855002i \(-0.326444\pi\)
\(450\) −14.3856 + 5.05151i −0.678145 + 0.238130i
\(451\) 5.95355 + 19.3010i 0.280342 + 0.908846i
\(452\) 1.63107 + 1.29488i 0.0767191 + 0.0609060i
\(453\) 0.969901 0.380658i 0.0455699 0.0178849i
\(454\) 35.1005 + 1.27473i 1.64735 + 0.0598259i
\(455\) 0.360777 + 0.183983i 0.0169135 + 0.00862524i
\(456\) 7.83313 0.908754i 0.366820 0.0425563i
\(457\) −9.27953 8.61015i −0.434078 0.402766i 0.432638 0.901568i \(-0.357583\pi\)
−0.866716 + 0.498802i \(0.833773\pi\)
\(458\) −29.2236 + 7.86487i −1.36553 + 0.367501i
\(459\) 20.9346 12.0866i 0.977141 0.564153i
\(460\) −1.49071 + 0.463414i −0.0695045 + 0.0216068i
\(461\) −19.7811 15.7749i −0.921297 0.734710i 0.0431269 0.999070i \(-0.486268\pi\)
−0.964424 + 0.264359i \(0.914839\pi\)
\(462\) 3.04565 + 5.08885i 0.141697 + 0.236755i
\(463\) −10.8471 13.6018i −0.504108 0.632131i 0.463043 0.886336i \(-0.346758\pi\)
−0.967150 + 0.254205i \(0.918186\pi\)
\(464\) 7.64733 1.78087i 0.355018 0.0826747i
\(465\) −0.885893 0.603992i −0.0410823 0.0280094i
\(466\) 0.727783 3.86971i 0.0337139 0.179261i
\(467\) 4.13629 + 27.4425i 0.191405 + 1.26989i 0.853748 + 0.520687i \(0.174324\pi\)
−0.662343 + 0.749200i \(0.730438\pi\)
\(468\) 0.100600 1.38321i 0.00465022 0.0639391i
\(469\) 3.92440 4.04081i 0.181212 0.186587i
\(470\) −1.28372 + 4.81207i −0.0592137 + 0.221964i
\(471\) 6.78077 11.7446i 0.312441 0.541164i
\(472\) 19.3453 3.72645i 0.890437 0.171524i
\(473\) −21.9357 3.30628i −1.00861 0.152023i
\(474\) 7.57476 + 2.64118i 0.347920 + 0.121313i
\(475\) 6.72465 + 13.9639i 0.308548 + 0.640706i
\(476\) 15.5181 + 23.7991i 0.711271 + 1.09083i
\(477\) −9.08523 + 18.8657i −0.415984 + 0.863800i
\(478\) −6.39409 + 6.40816i −0.292459 + 0.293102i
\(479\) 2.01774 + 26.9249i 0.0921930 + 1.23023i 0.830984 + 0.556296i \(0.187778\pi\)
−0.738791 + 0.673934i \(0.764603\pi\)
\(480\) −1.70295 + 1.72177i −0.0777286 + 0.0785879i
\(481\) −0.195390 + 2.60730i −0.00890903 + 0.118883i
\(482\) 7.18195 5.31273i 0.327129 0.241988i
\(483\) 3.24677 + 1.36043i 0.147733 + 0.0619016i
\(484\) −8.54179 12.4695i −0.388263 0.566796i
\(485\) 0.687856 2.22997i 0.0312339 0.101258i
\(486\) 0.873051 + 22.6659i 0.0396024 + 1.02815i
\(487\) 20.0500 18.6037i 0.908552 0.843013i −0.0795476 0.996831i \(-0.525348\pi\)
0.988099 + 0.153818i \(0.0491571\pi\)
\(488\) −7.11059 26.1913i −0.321881 1.18562i
\(489\) 0.479589 0.0216878
\(490\) 1.49577 4.73012i 0.0675719 0.213685i
\(491\) 4.21972i 0.190433i −0.995457 0.0952167i \(-0.969646\pi\)
0.995457 0.0952167i \(-0.0303544\pi\)
\(492\) 18.3970 + 2.73155i 0.829402 + 0.123148i
\(493\) −7.16888 7.72621i −0.322870 0.347971i
\(494\) −1.40874 + 0.0542623i −0.0633822 + 0.00244137i
\(495\) −2.01717 0.622213i −0.0906648 0.0279664i
\(496\) −9.91287 1.44957i −0.445101 0.0650877i
\(497\) 12.6986 + 9.08837i 0.569610 + 0.407669i
\(498\) 1.73886 1.28629i 0.0779201 0.0576401i
\(499\) −24.5174 1.83732i −1.09755 0.0822498i −0.486377 0.873749i \(-0.661682\pi\)
−0.611170 + 0.791499i \(0.709301\pi\)
\(500\) −8.81266 4.22011i −0.394114 0.188729i
\(501\) 1.07059 0.0802293i 0.0478302 0.00358438i
\(502\) −27.6699 27.6091i −1.23497 1.23226i
\(503\) 13.9385 + 6.71245i 0.621489 + 0.299293i 0.718005 0.696038i \(-0.245056\pi\)
−0.0965157 + 0.995331i \(0.530770\pi\)
\(504\) −16.9160 + 1.57282i −0.753500 + 0.0700590i
\(505\) 7.42934 3.57778i 0.330601 0.159209i
\(506\) 3.85913 + 1.34561i 0.171559 + 0.0598195i
\(507\) −1.64328 + 10.9025i −0.0729807 + 0.484196i
\(508\) −23.1800 5.23709i −1.02845 0.232358i
\(509\) 21.9084 + 12.6488i 0.971074 + 0.560650i 0.899563 0.436790i \(-0.143885\pi\)
0.0715104 + 0.997440i \(0.477218\pi\)
\(510\) 3.14082 + 0.837880i 0.139078 + 0.0371020i
\(511\) −28.5642 9.52886i −1.26361 0.421532i
\(512\) −7.26168 + 21.4305i −0.320924 + 0.947105i
\(513\) 14.5294 2.18995i 0.641487 0.0966887i
\(514\) −2.81959 + 14.9921i −0.124367 + 0.661274i
\(515\) 2.02007 2.96290i 0.0890149 0.130561i
\(516\) −11.4696 + 16.9026i −0.504922 + 0.744094i
\(517\) 10.1942 8.12961i 0.448341 0.357540i
\(518\) 31.8976 2.89506i 1.40150 0.127202i
\(519\) 1.90790 2.39243i 0.0837475 0.105016i
\(520\) 0.327226 0.283484i 0.0143498 0.0124316i
\(521\) 7.66670 + 13.2791i 0.335884 + 0.581768i 0.983654 0.180067i \(-0.0576316\pi\)
−0.647770 + 0.761836i \(0.724298\pi\)
\(522\) 6.08585 1.63787i 0.266370 0.0716877i
\(523\) −25.1573 + 27.1132i −1.10005 + 1.18558i −0.118788 + 0.992920i \(0.537901\pi\)
−0.981266 + 0.192657i \(0.938290\pi\)
\(524\) 10.3556 + 3.16936i 0.452387 + 0.138454i
\(525\) 4.43539 + 9.77381i 0.193576 + 0.426564i
\(526\) 1.02908 28.3365i 0.0448702 1.23553i
\(527\) 4.91300 + 12.5181i 0.214014 + 0.545298i
\(528\) 6.26508 0.972505i 0.272653 0.0423228i
\(529\) −19.6600 + 6.06431i −0.854784 + 0.263666i
\(530\) −6.16751 + 2.16572i −0.267899 + 0.0940727i
\(531\) 15.4165 3.51872i 0.669021 0.152700i
\(532\) 3.49546 + 16.9123i 0.151547 + 0.733240i
\(533\) −3.24167 0.739891i −0.140412 0.0320482i
\(534\) 9.48529 1.07930i 0.410469 0.0467058i
\(535\) 3.35893 8.55841i 0.145219 0.370012i
\(536\) −2.42625 5.51136i −0.104798 0.238055i
\(537\) 16.8434 11.4836i 0.726846 0.495555i
\(538\) −3.48973 + 1.52712i −0.150453 + 0.0658388i
\(539\) −10.5129 + 7.62697i −0.452824 + 0.328517i
\(540\) −3.06190 + 3.31453i −0.131763 + 0.142635i
\(541\) −7.11804 10.4402i −0.306028 0.448861i 0.642160 0.766571i \(-0.278039\pi\)
−0.948188 + 0.317710i \(0.897086\pi\)
\(542\) 34.1545 + 14.8568i 1.46706 + 0.638154i
\(543\) 4.72784 12.0463i 0.202891 0.516958i
\(544\) 29.8121 5.81067i 1.27818 0.249131i
\(545\) 0.349471 1.53113i 0.0149697 0.0655864i
\(546\) −0.976179 + 0.0153401i −0.0417766 + 0.000656494i
\(547\) 14.1467 3.22888i 0.604867 0.138057i 0.0908903 0.995861i \(-0.471029\pi\)
0.513977 + 0.857804i \(0.328172\pi\)
\(548\) −7.84990 8.42296i −0.335331 0.359811i
\(549\) −6.42080 20.8157i −0.274033 0.888393i
\(550\) 5.83476 + 11.0106i 0.248795 + 0.469493i
\(551\) −2.34057 5.96368i −0.0997117 0.254061i
\(552\) 2.65228 2.66983i 0.112889 0.113636i
\(553\) −4.29855 + 17.0343i −0.182793 + 0.724374i
\(554\) 7.74131 9.01560i 0.328897 0.383036i
\(555\) 2.49251 2.68629i 0.105801 0.114027i
\(556\) 3.83367 + 4.78565i 0.162584 + 0.202957i
\(557\) −9.13585 + 5.27458i −0.387098 + 0.223491i −0.680902 0.732374i \(-0.738412\pi\)
0.293804 + 0.955866i \(0.405079\pi\)
\(558\) −7.99165 0.891546i −0.338313 0.0377422i
\(559\) 2.27688 2.85512i 0.0963019 0.120759i
\(560\) −4.08495 3.38237i −0.172621 0.142931i
\(561\) −5.30617 6.65372i −0.224027 0.280920i
\(562\) −11.5721 18.3721i −0.488141 0.774979i
\(563\) −7.34638 + 10.7752i −0.309613 + 0.454119i −0.949234 0.314572i \(-0.898139\pi\)
0.639621 + 0.768691i \(0.279091\pi\)
\(564\) −2.69738 11.6993i −0.113580 0.492631i
\(565\) 0.0777739 + 0.515996i 0.00327197 + 0.0217081i
\(566\) 22.7880 + 12.0118i 0.957851 + 0.504892i
\(567\) −7.78107 + 0.992068i −0.326774 + 0.0416629i
\(568\) 14.1058 8.92830i 0.591867 0.374623i
\(569\) −0.159645 + 0.276514i −0.00669268 + 0.0115921i −0.869352 0.494193i \(-0.835464\pi\)
0.862660 + 0.505785i \(0.168797\pi\)
\(570\) 1.59109 + 1.17158i 0.0666433 + 0.0490719i
\(571\) −1.02440 + 6.79645i −0.0428698 + 0.284422i −0.999986 0.00528163i \(-0.998319\pi\)
0.957116 + 0.289704i \(0.0935569\pi\)
\(572\) −1.13011 + 0.0871895i −0.0472525 + 0.00364558i
\(573\) −0.439994 0.913657i −0.0183810 0.0381686i
\(574\) −2.40528 + 40.6603i −0.100395 + 1.69713i
\(575\) 6.66406 + 3.20924i 0.277910 + 0.133835i
\(576\) −5.23875 + 17.3900i −0.218281 + 0.724585i
\(577\) −1.56274 20.8534i −0.0650578 0.868137i −0.930304 0.366789i \(-0.880457\pi\)
0.865246 0.501347i \(-0.167162\pi\)
\(578\) −10.9258 12.6679i −0.454455 0.526913i
\(579\) −10.6497 0.798085i −0.442587 0.0331673i
\(580\) 1.70601 + 0.979973i 0.0708384 + 0.0406911i
\(581\) 3.14189 + 3.54482i 0.130347 + 0.147064i
\(582\) 1.05198 + 5.52656i 0.0436058 + 0.229083i
\(583\) 16.3532 + 5.04429i 0.677280 + 0.208913i
\(584\) −20.9170 + 24.4688i −0.865553 + 1.01253i
\(585\) 0.254738 0.236363i 0.0105321 0.00977239i
\(586\) 22.6534 36.1408i 0.935803 1.49296i
\(587\) 32.1050i 1.32511i −0.749012 0.662557i \(-0.769471\pi\)
0.749012 0.662557i \(-0.230529\pi\)
\(588\) 2.15319 + 11.7641i 0.0887959 + 0.485145i
\(589\) 8.17410i 0.336808i
\(590\) 4.18266 + 2.62173i 0.172197 + 0.107935i
\(591\) −7.60942 + 7.06051i −0.313010 + 0.290430i
\(592\) 9.94849 32.7630i 0.408880 1.34655i
\(593\) 5.45201 + 1.68172i 0.223887 + 0.0690601i 0.404669 0.914463i \(-0.367387\pi\)
−0.180782 + 0.983523i \(0.557863\pi\)
\(594\) 11.6052 2.20905i 0.476169 0.0906384i
\(595\) −1.22114 + 7.01347i −0.0500620 + 0.287524i
\(596\) −8.50733 + 14.8102i −0.348474 + 0.606651i
\(597\) −6.66870 0.499750i −0.272932 0.0204534i
\(598\) −0.509480 + 0.439419i −0.0208342 + 0.0179692i
\(599\) 0.0352571 + 0.470473i 0.00144057 + 0.0192230i 0.997878 0.0651151i \(-0.0207415\pi\)
−0.996437 + 0.0843381i \(0.973122\pi\)
\(600\) 11.4647 0.466848i 0.468044 0.0190590i
\(601\) 37.2256 + 17.9269i 1.51846 + 0.731254i 0.992839 0.119462i \(-0.0381170\pi\)
0.525626 + 0.850716i \(0.323831\pi\)
\(602\) −39.0880 21.7558i −1.59311 0.886702i
\(603\) −2.09714 4.35475i −0.0854020 0.177339i
\(604\) 2.43215 0.187643i 0.0989628 0.00763509i
\(605\) 0.564457 3.74493i 0.0229484 0.152253i
\(606\) −11.7868 + 16.0073i −0.478806 + 0.650254i
\(607\) 8.16601 14.1439i 0.331448 0.574085i −0.651348 0.758779i \(-0.725796\pi\)
0.982796 + 0.184694i \(0.0591295\pi\)
\(608\) 18.1588 + 3.33256i 0.736438 + 0.135153i
\(609\) −1.52637 4.16581i −0.0618515 0.168807i
\(610\) 3.17092 6.01568i 0.128387 0.243568i
\(611\) 0.319913 + 2.12248i 0.0129423 + 0.0858665i
\(612\) 23.7559 5.47711i 0.960275 0.221399i
\(613\) −15.7267 + 23.0669i −0.635197 + 0.931663i 0.364803 + 0.931085i \(0.381136\pi\)
−1.00000 0.000577818i \(0.999816\pi\)
\(614\) −11.4335 + 7.20166i −0.461417 + 0.290635i
\(615\) 2.90561 + 3.64352i 0.117165 + 0.146921i
\(616\) 3.33165 + 13.4793i 0.134236 + 0.543096i
\(617\) −8.32162 + 10.4350i −0.335016 + 0.420096i −0.920595 0.390519i \(-0.872296\pi\)
0.585579 + 0.810615i \(0.300867\pi\)
\(618\) −0.958474 + 8.59158i −0.0385555 + 0.345604i
\(619\) 5.93268 3.42523i 0.238454 0.137672i −0.376012 0.926615i \(-0.622705\pi\)
0.614466 + 0.788943i \(0.289371\pi\)
\(620\) −1.56943 1.95915i −0.0630299 0.0786815i
\(621\) 4.76955 5.14035i 0.191395 0.206275i
\(622\) −20.3573 17.4800i −0.816254 0.700883i
\(623\) 4.18662 + 20.4835i 0.167733 + 0.820653i
\(624\) −0.377033 + 0.973228i −0.0150934 + 0.0389603i
\(625\) 7.78031 + 19.8239i 0.311212 + 0.792956i
\(626\) −8.80336 + 4.66510i −0.351853 + 0.186455i
\(627\) −1.52477 4.94319i −0.0608935 0.197412i
\(628\) 23.2273 21.6470i 0.926869 0.863809i
\(629\) −44.8087 + 10.2273i −1.78664 + 0.407789i
\(630\) −3.36946 2.60150i −0.134243 0.103646i
\(631\) −8.03193 + 35.1902i −0.319746 + 1.40090i 0.518253 + 0.855228i \(0.326583\pi\)
−0.837999 + 0.545672i \(0.816274\pi\)
\(632\) 15.1481 + 11.1028i 0.602560 + 0.441647i
\(633\) −2.81549 + 7.17375i −0.111906 + 0.285131i
\(634\) 14.3813 33.0614i 0.571154 1.31304i
\(635\) −3.35432 4.91988i −0.133112 0.195239i
\(636\) 10.6929 11.5751i 0.424000 0.458983i
\(637\) −0.222021 2.12655i −0.00879678 0.0842569i
\(638\) −2.06499 4.71884i −0.0817536 0.186821i
\(639\) 11.0712 7.54820i 0.437969 0.298602i
\(640\) −4.99213 + 2.68777i −0.197331 + 0.106243i
\(641\) 7.33598 18.6918i 0.289754 0.738280i −0.709677 0.704528i \(-0.751159\pi\)
0.999430 0.0337526i \(-0.0107458\pi\)
\(642\) 2.50580 + 22.0220i 0.0988962 + 0.869139i
\(643\) 3.88688 + 0.887155i 0.153284 + 0.0349860i 0.298474 0.954418i \(-0.403522\pi\)
−0.145191 + 0.989404i \(0.546380\pi\)
\(644\) 6.33649 + 5.27019i 0.249693 + 0.207675i
\(645\) −4.98993 + 1.13892i −0.196478 + 0.0448449i
\(646\) −8.21067 23.3823i −0.323045 0.919963i
\(647\) −39.3367 + 12.1338i −1.54649 + 0.477028i −0.946424 0.322925i \(-0.895334\pi\)
−0.600062 + 0.799953i \(0.704857\pi\)
\(648\) −2.14364 + 8.10703i −0.0842101 + 0.318474i
\(649\) −4.72160 12.0304i −0.185339 0.472236i
\(650\) −2.04998 0.0744482i −0.0804069 0.00292010i
\(651\) −0.128974 + 5.65923i −0.00505491 + 0.221803i
\(652\) 1.07366 + 0.328598i 0.0420480 + 0.0128689i
\(653\) −16.7169 + 18.0166i −0.654184 + 0.705043i −0.969816 0.243839i \(-0.921593\pi\)
0.315632 + 0.948882i \(0.397784\pi\)
\(654\) 0.983924 + 3.65597i 0.0384745 + 0.142960i
\(655\) 1.35679 + 2.35003i 0.0530142 + 0.0918233i
\(656\) 39.3142 + 18.7202i 1.53496 + 0.730901i
\(657\) −16.1098 + 20.2010i −0.628501 + 0.788116i
\(658\) 25.0008 8.14409i 0.974634 0.317490i
\(659\) 29.4817 23.5108i 1.14844 0.915852i 0.151086 0.988521i \(-0.451723\pi\)
0.997356 + 0.0726683i \(0.0231515\pi\)
\(660\) 1.31455 + 0.892017i 0.0511688 + 0.0347217i
\(661\) 22.9122 33.6060i 0.891180 1.30712i −0.0599095 0.998204i \(-0.519081\pi\)
0.951089 0.308917i \(-0.0999664\pi\)
\(662\) 16.8036 + 3.16028i 0.653090 + 0.122828i
\(663\) 1.38534 0.208806i 0.0538020 0.00810935i
\(664\) 4.77414 1.68824i 0.185272 0.0655163i
\(665\) −2.24844 + 3.69722i −0.0871906 + 0.143372i
\(666\) 7.08394 26.5543i 0.274497 1.02896i
\(667\) −2.64781 1.52872i −0.102524 0.0591921i
\(668\) 2.45171 + 0.553918i 0.0948595 + 0.0214317i
\(669\) 0.0275642 0.182877i 0.00106570 0.00707042i
\(670\) 0.496779 1.42474i 0.0191923 0.0550424i
\(671\) −16.0403 + 7.72462i −0.619230 + 0.298206i
\(672\) 12.5195 + 2.59377i 0.482948 + 0.100057i
\(673\) −7.87328 3.79157i −0.303493 0.146154i 0.275939 0.961175i \(-0.411011\pi\)
−0.579432 + 0.815021i \(0.696725\pi\)
\(674\) −6.25144 + 6.26520i −0.240797 + 0.241327i
\(675\) 21.3202 1.59773i 0.820617 0.0614967i
\(676\) −11.1489 + 23.2816i −0.428802 + 0.895448i
\(677\) 21.7610 + 1.63076i 0.836342 + 0.0626752i 0.486013 0.873951i \(-0.338451\pi\)
0.350329 + 0.936627i \(0.386070\pi\)
\(678\) −0.748124 1.01134i −0.0287315 0.0388404i
\(679\) −11.8529 + 3.36236i −0.454871 + 0.129036i
\(680\) 6.45733 + 4.02776i 0.247627 + 0.154458i
\(681\) −20.2738 6.25365i −0.776895 0.239640i
\(682\) 0.252955 + 6.56714i 0.00968615 + 0.251469i
\(683\) −12.5295 13.5036i −0.479429 0.516702i 0.446303 0.894882i \(-0.352740\pi\)
−0.925732 + 0.378180i \(0.876550\pi\)
\(684\) 14.6580 + 2.17639i 0.560462 + 0.0832162i
\(685\) 2.88498i 0.110229i
\(686\) −25.2473 + 6.96946i −0.963947 + 0.266095i
\(687\) 18.2806 0.697448
\(688\) −37.2583 + 29.9815i −1.42046 + 1.14303i
\(689\) −2.06517 + 1.91619i −0.0786766 + 0.0730012i
\(690\) 0.942268 0.0362946i 0.0358715 0.00138171i
\(691\) 3.77660 12.2434i 0.143668 0.465762i −0.854927 0.518749i \(-0.826398\pi\)
0.998595 + 0.0529870i \(0.0168742\pi\)
\(692\) 5.91047 4.04875i 0.224682 0.153911i
\(693\) 3.04149 + 10.7217i 0.115537 + 0.407285i
\(694\) 8.62525 + 11.6599i 0.327410 + 0.442605i
\(695\) −0.114818 + 1.53214i −0.00435530 + 0.0581175i
\(696\) −4.74021 0.161712i −0.179677 0.00612969i
\(697\) −4.36793 58.2859i −0.165447 2.20774i
\(698\) −23.8077 23.7554i −0.901134 0.899155i
\(699\) −1.03198 + 2.14293i −0.0390332 + 0.0810532i
\(700\) 3.23291 + 24.9198i 0.122193 + 0.941880i
\(701\) −15.3222 31.8168i −0.578711 1.20171i −0.960713 0.277544i \(-0.910480\pi\)
0.382002 0.924161i \(-0.375235\pi\)
\(702\) −0.640294 + 1.83633i −0.0241663 + 0.0693077i
\(703\) −27.6251 4.16382i −1.04190 0.157041i
\(704\) 14.6921 + 2.11546i 0.553729 + 0.0797294i
\(705\) 1.50419 2.60533i 0.0566511 0.0981226i
\(706\) −0.393754 0.105042i −0.0148191 0.00395332i
\(707\) −37.1964 22.6207i −1.39891 0.850738i
\(708\) −11.8690 0.863217i −0.446063 0.0324417i
\(709\) −5.83014 38.6804i −0.218955 1.45267i −0.780463 0.625202i \(-0.785017\pi\)
0.561508 0.827472i \(-0.310222\pi\)
\(710\) 4.11089 + 0.773143i 0.154279 + 0.0290155i
\(711\) 12.4555 + 8.49200i 0.467117 + 0.318475i
\(712\) 21.9744 + 4.08276i 0.823526 + 0.153008i
\(713\) 2.43222 + 3.04990i 0.0910872 + 0.114220i
\(714\) −5.31562 16.3180i −0.198932 0.610684i
\(715\) −0.222049 0.177078i −0.00830416 0.00662235i
\(716\) 45.5758 14.1681i 1.70325 0.529486i
\(717\) 4.73560 2.73410i 0.176854 0.102107i
\(718\) −10.8799 40.4264i −0.406033 1.50870i
\(719\) 11.4092 + 10.5862i 0.425491 + 0.394798i 0.863644 0.504102i \(-0.168177\pi\)
−0.438152 + 0.898901i \(0.644367\pi\)
\(720\) −3.93107 + 2.29271i −0.146502 + 0.0854443i
\(721\) −18.9275 0.431359i −0.704896 0.0160646i
\(722\) −0.428488 + 11.7987i −0.0159467 + 0.439103i
\(723\) −5.02319 + 1.97146i −0.186814 + 0.0733192i
\(724\) 18.8380 23.7290i 0.700110 0.881882i
\(725\) −2.74770 8.90781i −0.102047 0.330828i
\(726\) 3.02491 + 8.61430i 0.112265 + 0.319707i
\(727\) 8.16780 + 35.7855i 0.302927 + 1.32721i 0.865685 + 0.500588i \(0.166883\pi\)
−0.562758 + 0.826621i \(0.690260\pi\)
\(728\) −2.19590 0.634503i −0.0813855 0.0235162i
\(729\) 1.06969 4.68661i 0.0396181 0.173578i
\(730\) −8.01424 + 0.911911i −0.296620 + 0.0337514i
\(731\) 59.7565 + 23.4527i 2.21018 + 0.867430i
\(732\) 0.0360446 + 16.3935i 0.00133225 + 0.605919i
\(733\) −12.7191 18.6555i −0.469790 0.689055i 0.516085 0.856537i \(-0.327389\pi\)
−0.985875 + 0.167482i \(0.946436\pi\)
\(734\) 19.4198 + 44.3775i 0.716797 + 1.63800i
\(735\) −1.61501 + 2.52425i −0.0595706 + 0.0931082i
\(736\) 7.76700 4.15976i 0.286295 0.153331i
\(737\) −3.26389 + 2.22528i −0.120227 + 0.0819692i
\(738\) 32.0497 + 13.9412i 1.17977 + 0.513183i
\(739\) −8.18678 3.21307i −0.301155 0.118195i 0.209952 0.977712i \(-0.432669\pi\)
−0.511107 + 0.859517i \(0.670765\pi\)
\(740\) 7.42059 4.30606i 0.272786 0.158294i
\(741\) 0.830229 + 0.189494i 0.0304992 + 0.00696125i
\(742\) 27.3163 + 21.0904i 1.00281 + 0.774254i
\(743\) −7.86004 34.4371i −0.288357 1.26337i −0.886779 0.462194i \(-0.847063\pi\)
0.598422 0.801181i \(-0.295795\pi\)
\(744\) 5.55457 + 2.40166i 0.203640 + 0.0880490i
\(745\) −4.08950 + 1.26144i −0.149828 + 0.0462157i
\(746\) −24.3665 45.9813i −0.892122 1.68349i
\(747\) 3.78355 1.48493i 0.138433 0.0543309i
\(748\) −7.32011 18.5314i −0.267650 0.677576i
\(749\) −47.5565 + 9.72008i −1.73768 + 0.355164i
\(750\) 4.47790 + 3.84499i 0.163510 + 0.140399i
\(751\) −20.1955 18.7386i −0.736943 0.683783i 0.219530 0.975606i \(-0.429548\pi\)
−0.956472 + 0.291823i \(0.905738\pi\)
\(752\) 1.97733 28.0397i 0.0721058 1.02250i
\(753\) 11.8056 + 20.4479i 0.430220 + 0.745163i
\(754\) 0.842710 + 0.0940125i 0.0306897 + 0.00342373i
\(755\) 0.477878 + 0.381095i 0.0173918 + 0.0138695i
\(756\) 23.4789 + 4.03483i 0.853919 + 0.146746i
\(757\) 17.3363 13.8252i 0.630098 0.502487i −0.255579 0.966788i \(-0.582266\pi\)
0.885677 + 0.464301i \(0.153695\pi\)
\(758\) 26.2802 16.5533i 0.954540 0.601242i
\(759\) −2.03977 1.39069i −0.0740391 0.0504790i
\(760\) 2.75927 + 3.71299i 0.100089 + 0.134684i
\(761\) −28.2726 + 4.26141i −1.02488 + 0.154476i −0.639908 0.768452i \(-0.721027\pi\)
−0.384973 + 0.922928i \(0.625789\pi\)
\(762\) 12.6986 + 6.69358i 0.460023 + 0.242483i
\(763\) −7.78537 + 2.85259i −0.281849 + 0.103271i
\(764\) −0.359016 2.34689i −0.0129887 0.0849075i
\(765\) 5.29021 + 3.05431i 0.191268 + 0.110429i
\(766\) −11.6294 + 15.7936i −0.420189 + 0.570648i
\(767\) 2.10375 + 0.317089i 0.0759621 + 0.0114494i
\(768\) 7.59988 11.3604i 0.274237 0.409932i
\(769\) 20.7707 10.0027i 0.749012 0.360705i −0.0201178 0.999798i \(-0.506404\pi\)
0.769130 + 0.639092i \(0.220690\pi\)
\(770\) −1.69200 + 3.03996i −0.0609754 + 0.109553i
\(771\) 3.99813