Properties

Label 507.2.t.b.4.3
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.85726 - 0.0748449i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(1.45029 + 0.117079i) q^{4} +(-1.06783 - 0.404975i) q^{5} +(0.588611 - 1.76311i) q^{6} +(0.332955 + 0.781475i) q^{7} +(1.00563 + 0.122106i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(-1.85726 - 0.0748449i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(1.45029 + 0.117079i) q^{4} +(-1.06783 - 0.404975i) q^{5} +(0.588611 - 1.76311i) q^{6} +(0.332955 + 0.781475i) q^{7} +(1.00563 + 0.122106i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(1.95292 + 0.832063i) q^{10} +(-2.33405 - 3.69100i) q^{11} +(-0.515951 + 1.36045i) q^{12} +(-0.346984 + 3.58882i) q^{13} +(-0.559894 - 1.47632i) q^{14} +(0.686075 - 0.912999i) q^{15} +(-4.73090 - 0.768847i) q^{16} +(-2.27717 + 0.970211i) q^{17} +(1.52973 + 1.05590i) q^{18} +(4.47551 - 2.58394i) q^{19} +(-1.50124 - 0.712350i) q^{20} +(-0.843255 + 0.102390i) q^{21} +(4.05868 + 7.02983i) q^{22} +(-0.0828629 + 0.143523i) q^{23} +(-0.397070 + 0.931957i) q^{24} +(-2.76630 - 2.45072i) q^{25} +(0.913043 - 6.63938i) q^{26} +(0.748511 - 0.663123i) q^{27} +(0.391386 + 1.17234i) q^{28} +(0.381267 - 9.46104i) q^{29} +(-1.34255 + 1.64433i) q^{30} +(4.15421 + 4.68913i) q^{31} +(6.74386 + 1.37677i) q^{32} +(4.19465 - 1.21499i) q^{33} +(4.30190 - 1.63150i) q^{34} +(-0.0390623 - 0.969321i) q^{35} +(-1.16319 - 0.874082i) q^{36} +(5.07334 - 1.03573i) q^{37} +(-8.50557 + 4.46407i) q^{38} +(-3.35059 - 1.33176i) q^{39} +(-1.02440 - 0.537645i) q^{40} +(-0.363440 - 0.105272i) q^{41} +(1.57380 - 0.127051i) q^{42} +(0.404977 - 1.98371i) q^{43} +(-2.95290 - 5.62628i) q^{44} +(0.686075 + 0.912999i) q^{45} +(0.164640 - 0.260357i) q^{46} +(10.1830 - 7.02879i) q^{47} +(2.05471 - 4.33021i) q^{48} +(4.34923 - 4.52802i) q^{49} +(4.95430 + 4.75867i) q^{50} +(-0.298357 - 2.45719i) q^{51} +(-0.923402 + 5.16418i) q^{52} +(0.281346 - 2.31710i) q^{53} +(-1.43981 + 1.17557i) q^{54} +(0.997606 + 4.88660i) q^{55} +(0.239408 + 0.826533i) q^{56} +(1.23675 + 5.01771i) q^{57} +(-1.41622 + 17.5431i) q^{58} +(-0.332007 - 2.04292i) q^{59} +(1.10190 - 1.24378i) q^{60} +(2.02809 - 1.52401i) q^{61} +(-7.36447 - 9.01984i) q^{62} +(0.136261 - 0.838448i) q^{63} +(-3.11465 - 0.767692i) q^{64} +(1.82390 - 3.69173i) q^{65} +(-7.88148 + 1.94261i) q^{66} +(-1.00553 - 12.4557i) q^{67} +(-3.41614 + 1.14047i) q^{68} +(-0.114802 - 0.119522i) q^{69} +1.80320i q^{70} +(-3.85525 + 3.70302i) q^{71} +(-0.784690 - 0.640679i) q^{72} +(6.99375 - 13.3255i) q^{73} +(-9.50001 + 1.54390i) q^{74} +(3.12360 - 1.97524i) q^{75} +(6.79330 - 3.22346i) q^{76} +(2.10729 - 3.05294i) q^{77} +(6.12322 + 2.72419i) q^{78} +(-2.73217 - 3.95822i) q^{79} +(4.74044 + 2.73689i) q^{80} +(0.428693 + 0.903450i) q^{81} +(0.667123 + 0.222718i) q^{82} +(-3.19781 + 12.9740i) q^{83} +(-1.23495 + 0.0497667i) q^{84} +(2.82454 - 0.113825i) q^{85} +(-0.900616 + 3.65394i) q^{86} +(8.98143 + 2.99844i) q^{87} +(-1.89650 - 3.99680i) q^{88} +(-8.81341 - 5.08842i) q^{89} +(-1.20588 - 1.74702i) q^{90} +(-2.92010 + 0.923756i) q^{91} +(-0.136978 + 0.198448i) q^{92} +(-5.65977 + 2.68559i) q^{93} +(-19.4384 + 12.2921i) q^{94} +(-5.82552 + 0.946739i) q^{95} +(-3.19867 + 6.09456i) q^{96} +(7.32515 + 5.98080i) q^{97} +(-8.41653 + 8.08419i) q^{98} +4.36707i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.85726 0.0748449i −1.31328 0.0529233i −0.626289 0.779591i \(-0.715427\pi\)
−0.686989 + 0.726667i \(0.741068\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) 1.45029 + 0.117079i 0.725143 + 0.0585396i
\(5\) −1.06783 0.404975i −0.477548 0.181110i 0.104073 0.994570i \(-0.466812\pi\)
−0.581622 + 0.813459i \(0.697582\pi\)
\(6\) 0.588611 1.76311i 0.240299 0.719785i
\(7\) 0.332955 + 0.781475i 0.125845 + 0.295370i 0.970971 0.239198i \(-0.0768846\pi\)
−0.845125 + 0.534568i \(0.820474\pi\)
\(8\) 1.00563 + 0.122106i 0.355545 + 0.0431710i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) 1.95292 + 0.832063i 0.617569 + 0.263122i
\(11\) −2.33405 3.69100i −0.703742 1.11288i −0.988048 0.154146i \(-0.950737\pi\)
0.284306 0.958734i \(-0.408237\pi\)
\(12\) −0.515951 + 1.36045i −0.148942 + 0.392729i
\(13\) −0.346984 + 3.58882i −0.0962361 + 0.995359i
\(14\) −0.559894 1.47632i −0.149638 0.394563i
\(15\) 0.686075 0.912999i 0.177144 0.235735i
\(16\) −4.73090 0.768847i −1.18273 0.192212i
\(17\) −2.27717 + 0.970211i −0.552295 + 0.235311i −0.650039 0.759901i \(-0.725247\pi\)
0.0977444 + 0.995212i \(0.468837\pi\)
\(18\) 1.52973 + 1.05590i 0.360561 + 0.248878i
\(19\) 4.47551 2.58394i 1.02675 0.592796i 0.110700 0.993854i \(-0.464691\pi\)
0.916053 + 0.401058i \(0.131357\pi\)
\(20\) −1.50124 0.712350i −0.335689 0.159286i
\(21\) −0.843255 + 0.102390i −0.184013 + 0.0223433i
\(22\) 4.05868 + 7.02983i 0.865313 + 1.49877i
\(23\) −0.0828629 + 0.143523i −0.0172781 + 0.0299266i −0.874535 0.484962i \(-0.838833\pi\)
0.857257 + 0.514889i \(0.172167\pi\)
\(24\) −0.397070 + 0.931957i −0.0810515 + 0.190235i
\(25\) −2.76630 2.45072i −0.553259 0.490145i
\(26\) 0.913043 6.63938i 0.179062 1.30209i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 0.391386 + 1.17234i 0.0739650 + 0.221552i
\(29\) 0.381267 9.46104i 0.0707995 1.75687i −0.440761 0.897625i \(-0.645291\pi\)
0.511560 0.859247i \(-0.329068\pi\)
\(30\) −1.34255 + 1.64433i −0.245115 + 0.300211i
\(31\) 4.15421 + 4.68913i 0.746117 + 0.842192i 0.991885 0.127136i \(-0.0405786\pi\)
−0.245768 + 0.969329i \(0.579040\pi\)
\(32\) 6.74386 + 1.37677i 1.19216 + 0.243381i
\(33\) 4.19465 1.21499i 0.730195 0.211503i
\(34\) 4.30190 1.63150i 0.737770 0.279799i
\(35\) −0.0390623 0.969321i −0.00660274 0.163845i
\(36\) −1.16319 0.874082i −0.193865 0.145680i
\(37\) 5.07334 1.03573i 0.834052 0.170273i 0.236023 0.971747i \(-0.424156\pi\)
0.598029 + 0.801475i \(0.295951\pi\)
\(38\) −8.50557 + 4.46407i −1.37979 + 0.724167i
\(39\) −3.35059 1.33176i −0.536523 0.213252i
\(40\) −1.02440 0.537645i −0.161971 0.0850091i
\(41\) −0.363440 0.105272i −0.0567599 0.0164407i 0.249716 0.968319i \(-0.419663\pi\)
−0.306476 + 0.951878i \(0.599150\pi\)
\(42\) 1.57380 0.127051i 0.242843 0.0196043i
\(43\) 0.404977 1.98371i 0.0617584 0.302513i −0.937166 0.348884i \(-0.886561\pi\)
0.998924 + 0.0463715i \(0.0147658\pi\)
\(44\) −2.95290 5.62628i −0.445166 0.848193i
\(45\) 0.686075 + 0.912999i 0.102274 + 0.136102i
\(46\) 0.164640 0.260357i 0.0242748 0.0383875i
\(47\) 10.1830 7.02879i 1.48534 1.02525i 0.497901 0.867234i \(-0.334104\pi\)
0.987436 0.158020i \(-0.0505111\pi\)
\(48\) 2.05471 4.33021i 0.296572 0.625012i
\(49\) 4.34923 4.52802i 0.621318 0.646861i
\(50\) 4.95430 + 4.75867i 0.700644 + 0.672977i
\(51\) −0.298357 2.45719i −0.0417784 0.344076i
\(52\) −0.923402 + 5.16418i −0.128053 + 0.716143i
\(53\) 0.281346 2.31710i 0.0386459 0.318277i −0.960547 0.278117i \(-0.910290\pi\)
0.999193 0.0401610i \(-0.0127871\pi\)
\(54\) −1.43981 + 1.17557i −0.195933 + 0.159974i
\(55\) 0.997606 + 4.88660i 0.134517 + 0.658909i
\(56\) 0.239408 + 0.826533i 0.0319923 + 0.110450i
\(57\) 1.23675 + 5.01771i 0.163812 + 0.664611i
\(58\) −1.41622 + 17.5431i −0.185959 + 2.30352i
\(59\) −0.332007 2.04292i −0.0432237 0.265966i 0.956439 0.291932i \(-0.0942980\pi\)
−0.999663 + 0.0259658i \(0.991734\pi\)
\(60\) 1.10190 1.24378i 0.142254 0.160572i
\(61\) 2.02809 1.52401i 0.259670 0.195130i −0.462932 0.886394i \(-0.653202\pi\)
0.722602 + 0.691264i \(0.242946\pi\)
\(62\) −7.36447 9.01984i −0.935288 1.14552i
\(63\) 0.136261 0.838448i 0.0171673 0.105635i
\(64\) −3.11465 0.767692i −0.389331 0.0959615i
\(65\) 1.82390 3.69173i 0.226227 0.457902i
\(66\) −7.88148 + 1.94261i −0.970143 + 0.239119i
\(67\) −1.00553 12.4557i −0.122845 1.52171i −0.705337 0.708873i \(-0.749204\pi\)
0.582491 0.812837i \(-0.302078\pi\)
\(68\) −3.41614 + 1.14047i −0.414267 + 0.138303i
\(69\) −0.114802 0.119522i −0.0138206 0.0143887i
\(70\) 1.80320i 0.215524i
\(71\) −3.85525 + 3.70302i −0.457534 + 0.439468i −0.885718 0.464224i \(-0.846333\pi\)
0.428183 + 0.903692i \(0.359154\pi\)
\(72\) −0.784690 0.640679i −0.0924766 0.0755048i
\(73\) 6.99375 13.3255i 0.818556 1.55963i −0.0101525 0.999948i \(-0.503232\pi\)
0.828709 0.559680i \(-0.189076\pi\)
\(74\) −9.50001 + 1.54390i −1.10435 + 0.179475i
\(75\) 3.12360 1.97524i 0.360682 0.228081i
\(76\) 6.79330 3.22346i 0.779244 0.369756i
\(77\) 2.10729 3.05294i 0.240148 0.347915i
\(78\) 6.12322 + 2.72419i 0.693318 + 0.308453i
\(79\) −2.73217 3.95822i −0.307393 0.445335i 0.638593 0.769545i \(-0.279517\pi\)
−0.945985 + 0.324210i \(0.894902\pi\)
\(80\) 4.74044 + 2.73689i 0.529997 + 0.305994i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) 0.667123 + 0.222718i 0.0736714 + 0.0245951i
\(83\) −3.19781 + 12.9740i −0.351006 + 1.42409i 0.484590 + 0.874741i \(0.338969\pi\)
−0.835596 + 0.549345i \(0.814877\pi\)
\(84\) −1.23495 + 0.0497667i −0.134744 + 0.00542999i
\(85\) 2.82454 0.113825i 0.306365 0.0123461i
\(86\) −0.900616 + 3.65394i −0.0971160 + 0.394015i
\(87\) 8.98143 + 2.99844i 0.962910 + 0.321467i
\(88\) −1.89650 3.99680i −0.202168 0.426060i
\(89\) −8.81341 5.08842i −0.934220 0.539372i −0.0460760 0.998938i \(-0.514672\pi\)
−0.888144 + 0.459566i \(0.848005\pi\)
\(90\) −1.20588 1.74702i −0.127111 0.184152i
\(91\) −2.92010 + 0.923756i −0.306110 + 0.0968360i
\(92\) −0.136978 + 0.198448i −0.0142810 + 0.0206896i
\(93\) −5.65977 + 2.68559i −0.586890 + 0.278483i
\(94\) −19.4384 + 12.2921i −2.00492 + 1.26784i
\(95\) −5.82552 + 0.946739i −0.597685 + 0.0971333i
\(96\) −3.19867 + 6.09456i −0.326463 + 0.622024i
\(97\) 7.32515 + 5.98080i 0.743756 + 0.607258i 0.926672 0.375870i \(-0.122656\pi\)
−0.182916 + 0.983129i \(0.558554\pi\)
\(98\) −8.41653 + 8.08419i −0.850198 + 0.816626i
\(99\) 4.36707i 0.438907i
\(100\) −3.72499 3.87813i −0.372499 0.387813i
\(101\) 15.2669 5.09686i 1.51912 0.507156i 0.569883 0.821726i \(-0.306988\pi\)
0.949234 + 0.314569i \(0.101860\pi\)
\(102\) 0.370217 + 4.58597i 0.0366570 + 0.454078i
\(103\) −9.31358 + 2.29559i −0.917694 + 0.226191i −0.669753 0.742584i \(-0.733600\pi\)
−0.247941 + 0.968775i \(0.579754\pi\)
\(104\) −0.787155 + 3.56666i −0.0771869 + 0.349740i
\(105\) 0.941918 + 0.232162i 0.0919218 + 0.0226567i
\(106\) −0.695955 + 4.28238i −0.0675971 + 0.415942i
\(107\) −5.73476 7.02381i −0.554400 0.679017i 0.419037 0.907969i \(-0.362368\pi\)
−0.973438 + 0.228952i \(0.926470\pi\)
\(108\) 1.16319 0.874082i 0.111928 0.0841086i
\(109\) −7.34355 + 8.28915i −0.703384 + 0.793957i −0.986260 0.165200i \(-0.947173\pi\)
0.282876 + 0.959157i \(0.408712\pi\)
\(110\) −1.48707 9.15033i −0.141787 0.872450i
\(111\) −0.416655 + 5.16119i −0.0395471 + 0.489879i
\(112\) −0.974345 3.95307i −0.0920670 0.373530i
\(113\) 3.14855 + 10.8700i 0.296190 + 1.02257i 0.961227 + 0.275757i \(0.0889285\pi\)
−0.665037 + 0.746810i \(0.731584\pi\)
\(114\) −1.92142 9.41173i −0.179957 0.881490i
\(115\) 0.146607 0.119701i 0.0136711 0.0111621i
\(116\) 1.66064 13.6766i 0.154186 1.26984i
\(117\) 2.21137 2.84778i 0.204441 0.263277i
\(118\) 0.463720 + 3.81908i 0.0426889 + 0.351575i
\(119\) −1.51639 1.45651i −0.139007 0.133518i
\(120\) 0.801422 0.834369i 0.0731595 0.0761671i
\(121\) −3.46010 + 7.29202i −0.314555 + 0.662910i
\(122\) −3.88075 + 2.67869i −0.351346 + 0.242517i
\(123\) 0.202231 0.319803i 0.0182346 0.0288356i
\(124\) 5.47579 + 7.28695i 0.491740 + 0.654387i
\(125\) 4.61513 + 8.79339i 0.412790 + 0.786505i
\(126\) −0.315825 + 1.54701i −0.0281360 + 0.137819i
\(127\) −21.8759 + 1.76601i −1.94117 + 0.156708i −0.988905 0.148551i \(-0.952539\pi\)
−0.952270 + 0.305258i \(0.901257\pi\)
\(128\) −7.49518 2.17101i −0.662487 0.191892i
\(129\) 1.79272 + 0.940890i 0.157840 + 0.0828407i
\(130\) −3.66376 + 6.71998i −0.321333 + 0.589381i
\(131\) −13.0828 + 6.86637i −1.14305 + 0.599918i −0.926478 0.376349i \(-0.877179\pi\)
−0.216570 + 0.976267i \(0.569487\pi\)
\(132\) 6.22569 1.27098i 0.541877 0.110625i
\(133\) 3.50943 + 2.63716i 0.304306 + 0.228671i
\(134\) 0.935280 + 23.2087i 0.0807959 + 2.00493i
\(135\) −1.06783 + 0.404975i −0.0919042 + 0.0348547i
\(136\) −2.40847 + 0.697621i −0.206524 + 0.0598205i
\(137\) 15.1834 + 3.09972i 1.29721 + 0.264827i 0.798527 0.601959i \(-0.205613\pi\)
0.498681 + 0.866786i \(0.333818\pi\)
\(138\) 0.204272 + 0.230575i 0.0173888 + 0.0196279i
\(139\) −1.86489 + 2.28407i −0.158178 + 0.193733i −0.847613 0.530614i \(-0.821961\pi\)
0.689436 + 0.724347i \(0.257859\pi\)
\(140\) 0.0568358 1.41037i 0.00480350 0.119198i
\(141\) 3.91820 + 11.7364i 0.329972 + 0.988387i
\(142\) 7.43735 6.58891i 0.624128 0.552929i
\(143\) 14.0562 7.09575i 1.17544 0.593377i
\(144\) 3.58759 + 3.17833i 0.298966 + 0.264861i
\(145\) −4.23861 + 9.94839i −0.351998 + 0.826169i
\(146\) −13.9865 + 24.2254i −1.15753 + 2.00491i
\(147\) 3.13922 + 5.43729i 0.258918 + 0.448460i
\(148\) 7.47905 0.908122i 0.614774 0.0746471i
\(149\) 11.4673 + 5.44130i 0.939438 + 0.445769i 0.835916 0.548858i \(-0.184937\pi\)
0.103523 + 0.994627i \(0.466989\pi\)
\(150\) −5.94916 + 3.43475i −0.485747 + 0.280446i
\(151\) −7.91205 5.46129i −0.643873 0.444434i 0.200861 0.979620i \(-0.435626\pi\)
−0.844734 + 0.535186i \(0.820241\pi\)
\(152\) 4.81624 2.05201i 0.390649 0.166440i
\(153\) 2.44319 + 0.397056i 0.197520 + 0.0321001i
\(154\) −4.14228 + 5.51237i −0.333794 + 0.444200i
\(155\) −2.53701 6.68954i −0.203777 0.537317i
\(156\) −4.70339 2.32371i −0.376572 0.186046i
\(157\) 2.13821 5.63799i 0.170647 0.449960i −0.822222 0.569167i \(-0.807266\pi\)
0.992869 + 0.119207i \(0.0380351\pi\)
\(158\) 4.77808 + 7.55593i 0.380124 + 0.601117i
\(159\) 2.14734 + 0.914895i 0.170295 + 0.0725559i
\(160\) −6.64375 4.20125i −0.525234 0.332138i
\(161\) −0.139749 0.0169686i −0.0110138 0.00133731i
\(162\) −0.728573 1.71002i −0.0572421 0.134352i
\(163\) 1.69201 5.06818i 0.132528 0.396970i −0.861273 0.508143i \(-0.830332\pi\)
0.993801 + 0.111172i \(0.0354605\pi\)
\(164\) −0.514767 0.195225i −0.0401966 0.0152445i
\(165\) −4.97122 0.401318i −0.387009 0.0312426i
\(166\) 6.91020 23.8568i 0.536336 1.85165i
\(167\) 0.799485 + 0.0322182i 0.0618660 + 0.00249312i 0.0711797 0.997464i \(-0.477324\pi\)
−0.00931363 + 0.999957i \(0.502965\pi\)
\(168\) −0.860508 −0.0663896
\(169\) −12.7592 2.49052i −0.981477 0.191579i
\(170\) −5.25442 −0.402995
\(171\) −5.16368 0.208089i −0.394877 0.0159130i
\(172\) 0.819583 2.82953i 0.0624926 0.215750i
\(173\) 1.52027 + 0.122729i 0.115584 + 0.00933088i 0.138123 0.990415i \(-0.455893\pi\)
−0.0225394 + 0.999746i \(0.507175\pi\)
\(174\) −16.4564 6.24109i −1.24756 0.473136i
\(175\) 0.994127 2.97777i 0.0751489 0.225099i
\(176\) 8.20435 + 19.2563i 0.618426 + 1.45150i
\(177\) 2.05463 + 0.249478i 0.154436 + 0.0187519i
\(178\) 15.9879 + 10.1101i 1.19835 + 0.757788i
\(179\) −22.2272 9.47011i −1.66134 0.707829i −0.662197 0.749330i \(-0.730376\pi\)
−0.999138 + 0.0415007i \(0.986786\pi\)
\(180\) 0.888111 + 1.40443i 0.0661959 + 0.104680i
\(181\) 4.79937 12.6549i 0.356734 0.940630i −0.629754 0.776795i \(-0.716844\pi\)
0.986488 0.163835i \(-0.0523866\pi\)
\(182\) 5.49251 1.49710i 0.407132 0.110972i
\(183\) 0.899590 + 2.37202i 0.0664996 + 0.175345i
\(184\) −0.100855 + 0.134213i −0.00743511 + 0.00989433i
\(185\) −5.83691 0.948590i −0.429138 0.0697417i
\(186\) 10.7126 4.56423i 0.785489 0.334666i
\(187\) 8.89608 + 6.14052i 0.650546 + 0.449039i
\(188\) 15.5911 9.00154i 1.13710 0.656505i
\(189\) 0.767434 + 0.364152i 0.0558226 + 0.0264882i
\(190\) 10.8903 1.32233i 0.790068 0.0959316i
\(191\) −4.45047 7.70844i −0.322025 0.557763i 0.658881 0.752247i \(-0.271030\pi\)
−0.980906 + 0.194484i \(0.937697\pi\)
\(192\) 1.60393 2.77809i 0.115754 0.200491i
\(193\) 8.21378 19.2784i 0.591241 1.38769i −0.308482 0.951230i \(-0.599821\pi\)
0.899722 0.436463i \(-0.143769\pi\)
\(194\) −13.1570 11.6561i −0.944621 0.836861i
\(195\) 3.03853 + 2.77899i 0.217594 + 0.199008i
\(196\) 6.83776 6.05773i 0.488411 0.432695i
\(197\) 1.80800 + 5.41563i 0.128815 + 0.385848i 0.993117 0.117125i \(-0.0373678\pi\)
−0.864302 + 0.502973i \(0.832240\pi\)
\(198\) 0.326853 8.11077i 0.0232284 0.576407i
\(199\) −2.93164 + 3.59060i −0.207818 + 0.254531i −0.867988 0.496585i \(-0.834587\pi\)
0.660170 + 0.751117i \(0.270484\pi\)
\(200\) −2.48263 2.80231i −0.175549 0.198153i
\(201\) 12.2437 + 2.49957i 0.863605 + 0.176306i
\(202\) −28.7361 + 8.32352i −2.02187 + 0.585641i
\(203\) 7.52051 2.85216i 0.527837 0.200182i
\(204\) −0.145017 3.59856i −0.0101532 0.251950i
\(205\) 0.345460 + 0.259597i 0.0241280 + 0.0181310i
\(206\) 17.4695 3.56643i 1.21716 0.248485i
\(207\) 0.146743 0.0770166i 0.0101993 0.00535303i
\(208\) 4.40080 16.7116i 0.305140 1.15874i
\(209\) −19.9834 10.4881i −1.38228 0.725477i
\(210\) −1.73201 0.501682i −0.119520 0.0346194i
\(211\) 4.53006 0.365704i 0.311862 0.0251761i 0.0764553 0.997073i \(-0.475640\pi\)
0.235407 + 0.971897i \(0.424358\pi\)
\(212\) 0.679316 3.32751i 0.0466556 0.228534i
\(213\) −2.48422 4.73328i −0.170216 0.324319i
\(214\) 10.1252 + 13.4742i 0.692146 + 0.921079i
\(215\) −1.23580 + 1.95426i −0.0842807 + 0.133279i
\(216\) 0.833699 0.575461i 0.0567260 0.0391551i
\(217\) −2.28127 + 4.80768i −0.154863 + 0.326366i
\(218\) 14.2593 14.8455i 0.965758 1.00546i
\(219\) 10.8536 + 10.4250i 0.733417 + 0.704456i
\(220\) 0.874695 + 7.20376i 0.0589719 + 0.485677i
\(221\) −2.69177 8.50899i −0.181068 0.572377i
\(222\) 1.16012 9.55447i 0.0778624 0.641254i
\(223\) 2.51570 2.05401i 0.168464 0.137546i −0.544463 0.838785i \(-0.683267\pi\)
0.712927 + 0.701238i \(0.247369\pi\)
\(224\) 1.16949 + 5.72856i 0.0781402 + 0.382756i
\(225\) 1.02822 + 3.54982i 0.0685478 + 0.236655i
\(226\) −5.03409 20.4241i −0.334863 1.35859i
\(227\) 1.56017 19.3262i 0.103552 1.28273i −0.711230 0.702959i \(-0.751862\pi\)
0.814782 0.579767i \(-0.196856\pi\)
\(228\) 1.20618 + 7.42191i 0.0798810 + 0.491528i
\(229\) 8.52379 9.62137i 0.563268 0.635798i −0.396015 0.918244i \(-0.629607\pi\)
0.959283 + 0.282446i \(0.0911457\pi\)
\(230\) −0.281245 + 0.211342i −0.0185448 + 0.0139355i
\(231\) 2.34612 + 2.87347i 0.154363 + 0.189061i
\(232\) 1.53867 9.46779i 0.101018 0.621591i
\(233\) −6.20066 1.52832i −0.406218 0.100124i 0.0309117 0.999522i \(-0.490159\pi\)
−0.437130 + 0.899398i \(0.644005\pi\)
\(234\) −4.32022 + 5.12355i −0.282421 + 0.334937i
\(235\) −13.7202 + 3.38171i −0.895004 + 0.220599i
\(236\) −0.242322 3.00169i −0.0157738 0.195394i
\(237\) 4.56208 1.52305i 0.296339 0.0989325i
\(238\) 2.70732 + 2.81861i 0.175489 + 0.182704i
\(239\) 8.57361i 0.554580i 0.960786 + 0.277290i \(0.0894363\pi\)
−0.960786 + 0.277290i \(0.910564\pi\)
\(240\) −3.94771 + 3.79183i −0.254824 + 0.244761i
\(241\) −23.5133 19.1980i −1.51462 1.23665i −0.890206 0.455559i \(-0.849439\pi\)
−0.624416 0.781092i \(-0.714663\pi\)
\(242\) 6.97207 13.2842i 0.448182 0.853939i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) 3.11974 1.97280i 0.199721 0.126296i
\(245\) −6.47797 + 3.07384i −0.413862 + 0.196380i
\(246\) −0.399530 + 0.578820i −0.0254731 + 0.0369042i
\(247\) 7.72035 + 16.9584i 0.491234 + 1.07904i
\(248\) 3.60504 + 5.22280i 0.228920 + 0.331648i
\(249\) −11.5721 6.68116i −0.733353 0.423402i
\(250\) −7.91334 16.6770i −0.500483 1.05475i
\(251\) 16.4150 + 5.48014i 1.03611 + 0.345903i 0.783320 0.621619i \(-0.213525\pi\)
0.252787 + 0.967522i \(0.418653\pi\)
\(252\) 0.295782 1.20004i 0.0186325 0.0755952i
\(253\) 0.723149 0.0291419i 0.0454640 0.00183214i
\(254\) 40.7614 1.64263i 2.55760 0.103068i
\(255\) −0.676506 + 2.74469i −0.0423644 + 0.171879i
\(256\) 19.8435 + 6.62475i 1.24022 + 0.414047i
\(257\) 9.70525 + 20.4534i 0.605397 + 1.27585i 0.942446 + 0.334360i \(0.108520\pi\)
−0.337049 + 0.941487i \(0.609429\pi\)
\(258\) −3.25911 1.88165i −0.202903 0.117146i
\(259\) 2.49859 + 3.61984i 0.155255 + 0.224926i
\(260\) 3.07740 5.14052i 0.190852 0.318801i
\(261\) −5.37885 + 7.79261i −0.332942 + 0.482350i
\(262\) 24.8120 11.7734i 1.53289 0.727365i
\(263\) −5.37895 + 3.40144i −0.331680 + 0.209742i −0.689916 0.723889i \(-0.742353\pi\)
0.358236 + 0.933631i \(0.383378\pi\)
\(264\) 4.36664 0.709648i 0.268748 0.0436758i
\(265\) −1.23879 + 2.36033i −0.0760986 + 0.144994i
\(266\) −6.32053 5.16055i −0.387537 0.316414i
\(267\) 7.33957 7.04975i 0.449174 0.431438i
\(268\) 18.1821i 1.11065i
\(269\) 0.775098 + 0.806962i 0.0472585 + 0.0492013i 0.744412 0.667721i \(-0.232730\pi\)
−0.697153 + 0.716922i \(0.745550\pi\)
\(270\) 2.01355 0.672220i 0.122540 0.0409100i
\(271\) 0.298884 + 3.70234i 0.0181559 + 0.224901i 0.999472 + 0.0324978i \(0.0103462\pi\)
−0.981316 + 0.192403i \(0.938372\pi\)
\(272\) 11.5190 2.83918i 0.698443 0.172151i
\(273\) −0.0748617 3.06181i −0.00453084 0.185309i
\(274\) −27.9675 6.89338i −1.68958 0.416444i
\(275\) −2.58896 + 15.9305i −0.156120 + 0.960647i
\(276\) −0.152503 0.186782i −0.00917958 0.0112429i
\(277\) 22.7543 17.0987i 1.36717 1.02736i 0.372101 0.928192i \(-0.378637\pi\)
0.995070 0.0991710i \(-0.0316191\pi\)
\(278\) 3.63453 4.10253i 0.217984 0.246054i
\(279\) −1.00491 6.18349i −0.0601626 0.370196i
\(280\) 0.0790776 0.979552i 0.00472579 0.0585394i
\(281\) 1.11812 + 4.53640i 0.0667015 + 0.270619i 0.994818 0.101671i \(-0.0324189\pi\)
−0.928117 + 0.372290i \(0.878573\pi\)
\(282\) −6.39869 22.0908i −0.381037 1.31549i
\(283\) 2.06134 + 10.0971i 0.122534 + 0.600210i 0.993966 + 0.109693i \(0.0349868\pi\)
−0.871432 + 0.490517i \(0.836808\pi\)
\(284\) −6.02476 + 4.91907i −0.357504 + 0.291893i
\(285\) 0.711401 5.85891i 0.0421398 0.347052i
\(286\) −26.6371 + 12.1266i −1.57508 + 0.717061i
\(287\) −0.0387422 0.319070i −0.00228688 0.0188341i
\(288\) −4.96401 4.76800i −0.292507 0.280957i
\(289\) −7.53212 + 7.84177i −0.443066 + 0.461281i
\(290\) 8.61678 18.1595i 0.505994 1.06636i
\(291\) −7.78265 + 5.37197i −0.456227 + 0.314911i
\(292\) 11.7031 18.5069i 0.684870 1.08304i
\(293\) 4.27132 + 5.68410i 0.249533 + 0.332069i 0.906778 0.421609i \(-0.138534\pi\)
−0.657244 + 0.753678i \(0.728278\pi\)
\(294\) −5.42338 10.3334i −0.316298 0.602656i
\(295\) −0.472805 + 2.31595i −0.0275277 + 0.134840i
\(296\) 5.22839 0.422079i 0.303894 0.0245329i
\(297\) −4.19465 1.21499i −0.243398 0.0705012i
\(298\) −20.8905 10.9642i −1.21015 0.635137i
\(299\) −0.486325 0.347180i −0.0281249 0.0200779i
\(300\) 4.76137 2.49896i 0.274898 0.144277i
\(301\) 1.68506 0.344007i 0.0971251 0.0198282i
\(302\) 14.2859 + 10.7352i 0.822064 + 0.617741i
\(303\) 0.648091 + 16.0822i 0.0372319 + 0.923899i
\(304\) −23.1599 + 8.78338i −1.32831 + 0.503761i
\(305\) −2.78284 + 0.806060i −0.159345 + 0.0461549i
\(306\) −4.50790 0.920295i −0.257700 0.0526098i
\(307\) 19.2157 + 21.6900i 1.09670 + 1.23792i 0.969252 + 0.246070i \(0.0791392\pi\)
0.127445 + 0.991846i \(0.459322\pi\)
\(308\) 3.41361 4.18092i 0.194509 0.238230i
\(309\) 0.386244 9.58453i 0.0219726 0.545245i
\(310\) 4.21120 + 12.6141i 0.239180 + 0.716432i
\(311\) −5.64637 + 5.00225i −0.320176 + 0.283651i −0.807867 0.589365i \(-0.799378\pi\)
0.487691 + 0.873017i \(0.337839\pi\)
\(312\) −3.20685 1.74838i −0.181552 0.0989828i
\(313\) −22.5980 20.0201i −1.27731 1.13160i −0.984491 0.175436i \(-0.943867\pi\)
−0.292824 0.956166i \(-0.594595\pi\)
\(314\) −4.39317 + 10.3112i −0.247921 + 0.581892i
\(315\) −0.485054 + 0.840138i −0.0273297 + 0.0473364i
\(316\) −3.49899 6.06044i −0.196834 0.340926i
\(317\) −1.88441 + 0.228808i −0.105839 + 0.0128512i −0.173285 0.984872i \(-0.555438\pi\)
0.0674459 + 0.997723i \(0.478515\pi\)
\(318\) −3.91968 1.85991i −0.219805 0.104299i
\(319\) −35.8106 + 20.6753i −2.00501 + 1.15759i
\(320\) 3.01502 + 2.08112i 0.168545 + 0.116338i
\(321\) 8.34200 3.55420i 0.465605 0.198376i
\(322\) 0.258280 + 0.0419746i 0.0143934 + 0.00233915i
\(323\) −7.68453 + 10.2263i −0.427579 + 0.569004i
\(324\) 0.515951 + 1.36045i 0.0286640 + 0.0755807i
\(325\) 9.75506 9.07737i 0.541113 0.503522i
\(326\) −3.52182 + 9.28627i −0.195055 + 0.514319i
\(327\) −5.91878 9.35980i −0.327309 0.517598i
\(328\) −0.352633 0.150243i −0.0194709 0.00829579i
\(329\) 8.88329 + 5.61745i 0.489752 + 0.309700i
\(330\) 9.20279 + 1.11742i 0.506597 + 0.0615120i
\(331\) −0.861687 2.02245i −0.0473626 0.111164i 0.894618 0.446833i \(-0.147448\pi\)
−0.941980 + 0.335669i \(0.891038\pi\)
\(332\) −6.15673 + 18.4417i −0.337895 + 1.01212i
\(333\) −4.84150 1.83614i −0.265312 0.100620i
\(334\) −1.48244 0.119675i −0.0811154 0.00654831i
\(335\) −3.97052 + 13.7078i −0.216933 + 0.748938i
\(336\) 4.06808 + 0.163938i 0.221932 + 0.00894355i
\(337\) 19.9311 1.08571 0.542857 0.839825i \(-0.317342\pi\)
0.542857 + 0.839825i \(0.317342\pi\)
\(338\) 23.5107 + 5.58050i 1.27881 + 0.303539i
\(339\) −11.3169 −0.614647
\(340\) 4.10972 + 0.165616i 0.222881 + 0.00898179i
\(341\) 7.61147 26.2778i 0.412184 1.42303i
\(342\) 9.57471 + 0.772951i 0.517741 + 0.0417964i
\(343\) 10.5464 + 3.99971i 0.569451 + 0.215964i
\(344\) 0.649481 1.94543i 0.0350177 0.104891i
\(345\) 0.0741861 + 0.174121i 0.00399404 + 0.00937437i
\(346\) −2.81434 0.341722i −0.151300 0.0183711i
\(347\) 1.88169 + 1.18991i 0.101015 + 0.0638778i 0.584018 0.811741i \(-0.301480\pi\)
−0.483003 + 0.875619i \(0.660454\pi\)
\(348\) 12.6746 + 5.40014i 0.679429 + 0.289478i
\(349\) 2.70950 + 4.28474i 0.145036 + 0.229357i 0.909892 0.414845i \(-0.136164\pi\)
−0.764856 + 0.644202i \(0.777190\pi\)
\(350\) −2.06922 + 5.45608i −0.110604 + 0.291640i
\(351\) 2.12010 + 2.91636i 0.113163 + 0.155664i
\(352\) −10.6588 28.1051i −0.568119 1.49801i
\(353\) −13.1662 + 17.5210i −0.700764 + 0.932548i −0.999764 0.0217052i \(-0.993090\pi\)
0.299000 + 0.954253i \(0.403347\pi\)
\(354\) −3.79731 0.617123i −0.201825 0.0327997i
\(355\) 5.61639 2.39292i 0.298087 0.127003i
\(356\) −12.1862 8.41154i −0.645868 0.445810i
\(357\) 1.82089 1.05129i 0.0963720 0.0556404i
\(358\) 40.5727 + 19.2520i 2.14434 + 1.01750i
\(359\) −5.97077 + 0.724983i −0.315125 + 0.0382631i −0.276571 0.960993i \(-0.589198\pi\)
−0.0385538 + 0.999257i \(0.512275\pi\)
\(360\) 0.578457 + 1.00192i 0.0304873 + 0.0528056i
\(361\) 3.85347 6.67441i 0.202814 0.351285i
\(362\) −9.86081 + 23.1442i −0.518273 + 1.21643i
\(363\) −6.04145 5.35226i −0.317094 0.280921i
\(364\) −4.34313 + 0.997828i −0.227642 + 0.0523004i
\(365\) −12.8646 + 11.3971i −0.673365 + 0.596549i
\(366\) −1.49324 4.47279i −0.0780527 0.233796i
\(367\) −0.626418 + 15.5444i −0.0326988 + 0.811412i 0.896767 + 0.442503i \(0.145909\pi\)
−0.929466 + 0.368908i \(0.879732\pi\)
\(368\) 0.502364 0.615284i 0.0261875 0.0320739i
\(369\) 0.250912 + 0.283221i 0.0130620 + 0.0147439i
\(370\) 10.7696 + 2.19864i 0.559887 + 0.114302i
\(371\) 1.90443 0.551624i 0.0988730 0.0286389i
\(372\) −8.52270 + 3.23224i −0.441882 + 0.167584i
\(373\) 0.580678 + 14.4094i 0.0300663 + 0.746089i 0.941973 + 0.335690i \(0.108969\pi\)
−0.911906 + 0.410399i \(0.865390\pi\)
\(374\) −16.0627 12.0703i −0.830583 0.624143i
\(375\) −9.73022 + 1.98644i −0.502466 + 0.102579i
\(376\) 11.0986 5.82498i 0.572365 0.300401i
\(377\) 33.8217 + 4.65113i 1.74190 + 0.239545i
\(378\) −1.39807 0.733763i −0.0719088 0.0377407i
\(379\) 14.4565 + 4.18738i 0.742582 + 0.215091i 0.627882 0.778309i \(-0.283922\pi\)
0.114700 + 0.993400i \(0.463409\pi\)
\(380\) −8.55951 + 0.690995i −0.439093 + 0.0354473i
\(381\) 4.38998 21.5036i 0.224906 1.10166i
\(382\) 7.68873 + 14.6497i 0.393390 + 0.749541i
\(383\) −11.8794 15.8086i −0.607008 0.807781i 0.386410 0.922327i \(-0.373715\pi\)
−0.993418 + 0.114546i \(0.963459\pi\)
\(384\) 4.17058 6.59524i 0.212829 0.336562i
\(385\) −3.48660 + 2.40662i −0.177693 + 0.122653i
\(386\) −16.6980 + 35.1903i −0.849905 + 1.79114i
\(387\) −1.40251 + 1.46016i −0.0712934 + 0.0742243i
\(388\) 9.92333 + 9.53149i 0.503781 + 0.483888i
\(389\) −3.09556 25.4943i −0.156951 1.29261i −0.831974 0.554814i \(-0.812789\pi\)
0.675023 0.737797i \(-0.264134\pi\)
\(390\) −5.43534 5.38872i −0.275229 0.272868i
\(391\) 0.0494455 0.407220i 0.00250057 0.0205940i
\(392\) 4.92663 4.02247i 0.248832 0.203165i
\(393\) −2.95542 14.4766i −0.149081 0.730248i
\(394\) −2.95259 10.1935i −0.148750 0.513543i
\(395\) 1.31451 + 5.33317i 0.0661401 + 0.268341i
\(396\) −0.511293 + 6.33350i −0.0256934 + 0.318270i
\(397\) −4.24085 26.0950i −0.212842 1.30967i −0.844973 0.534810i \(-0.820383\pi\)
0.632130 0.774862i \(-0.282181\pi\)
\(398\) 5.71354 6.44925i 0.286394 0.323272i
\(399\) −3.50943 + 2.63716i −0.175691 + 0.132023i
\(400\) 11.2029 + 13.7210i 0.560143 + 0.686050i
\(401\) 3.20338 19.7112i 0.159969 0.984329i −0.775610 0.631212i \(-0.782558\pi\)
0.935579 0.353117i \(-0.114878\pi\)
\(402\) −22.5526 5.55872i −1.12482 0.277244i
\(403\) −18.2699 + 13.2816i −0.910087 + 0.661605i
\(404\) 22.7382 5.60446i 1.13127 0.278832i
\(405\) −0.0918964 1.13834i −0.00456637 0.0565646i
\(406\) −14.1810 + 4.73431i −0.703791 + 0.234960i
\(407\) −15.6643 16.3083i −0.776451 0.808371i
\(408\) 2.50747i 0.124138i
\(409\) −19.5202 + 18.7494i −0.965211 + 0.927098i −0.997377 0.0723847i \(-0.976939\pi\)
0.0321657 + 0.999483i \(0.489760\pi\)
\(410\) −0.622179 0.507993i −0.0307272 0.0250880i
\(411\) −7.20163 + 13.7216i −0.355230 + 0.676835i
\(412\) −13.7761 + 2.23884i −0.678701 + 0.110300i
\(413\) 1.48595 0.939658i 0.0731188 0.0462375i
\(414\) −0.278304 + 0.132057i −0.0136779 + 0.00649023i
\(415\) 8.66888 12.5590i 0.425539 0.616499i
\(416\) −7.28099 + 23.7248i −0.356980 + 1.16320i
\(417\) −1.67505 2.42673i −0.0820275 0.118837i
\(418\) 36.3293 + 20.9747i 1.77692 + 1.02591i
\(419\) 3.35463 + 7.06974i 0.163884 + 0.345379i 0.968735 0.248099i \(-0.0798057\pi\)
−0.804850 + 0.593478i \(0.797754\pi\)
\(420\) 1.33887 + 0.446980i 0.0653301 + 0.0218104i
\(421\) −1.70845 + 6.93145i −0.0832647 + 0.337818i −0.997769 0.0667574i \(-0.978735\pi\)
0.914505 + 0.404576i \(0.132581\pi\)
\(422\) −8.44086 + 0.340155i −0.410895 + 0.0165585i
\(423\) −12.3632 + 0.498219i −0.601118 + 0.0242242i
\(424\) 0.565862 2.29579i 0.0274807 0.111494i
\(425\) 8.67705 + 2.89682i 0.420899 + 0.140517i
\(426\) 4.25957 + 8.97686i 0.206377 + 0.434930i
\(427\) 1.86624 + 1.07747i 0.0903137 + 0.0521426i
\(428\) −7.49470 10.8579i −0.362270 0.524839i
\(429\) 2.90492 + 15.4754i 0.140251 + 0.747160i
\(430\) 2.44146 3.53707i 0.117738 0.170572i
\(431\) 0.459606 0.218086i 0.0221384 0.0105048i −0.417591 0.908635i \(-0.637126\pi\)
0.439730 + 0.898130i \(0.355074\pi\)
\(432\) −4.05097 + 2.56168i −0.194902 + 0.123249i
\(433\) −24.1195 + 3.91980i −1.15911 + 0.188374i −0.709404 0.704803i \(-0.751036\pi\)
−0.449707 + 0.893176i \(0.648472\pi\)
\(434\) 4.59674 8.75835i 0.220650 0.420414i
\(435\) −8.37635 6.83908i −0.401615 0.327909i
\(436\) −11.6207 + 11.1619i −0.556532 + 0.534556i
\(437\) 0.856451i 0.0409696i
\(438\) −19.3776 20.1742i −0.925898 0.963962i
\(439\) −8.06485 + 2.69244i −0.384914 + 0.128503i −0.502538 0.864555i \(-0.667600\pi\)
0.117624 + 0.993058i \(0.462472\pi\)
\(440\) 0.406543 + 5.03594i 0.0193812 + 0.240079i
\(441\) −6.09600 + 1.50253i −0.290286 + 0.0715490i
\(442\) 4.36245 + 16.0048i 0.207501 + 0.761273i
\(443\) 2.21851 + 0.546814i 0.105405 + 0.0259799i 0.291665 0.956520i \(-0.405791\pi\)
−0.186260 + 0.982500i \(0.559637\pi\)
\(444\) −1.20854 + 7.43642i −0.0573546 + 0.352917i
\(445\) 7.35054 + 9.00278i 0.348449 + 0.426773i
\(446\) −4.82603 + 3.62653i −0.228519 + 0.171721i
\(447\) −8.41688 + 9.50069i −0.398105 + 0.449367i
\(448\) −0.437107 2.68963i −0.0206514 0.127073i
\(449\) −2.25743 + 27.9632i −0.106535 + 1.31967i 0.693824 + 0.720145i \(0.255925\pi\)
−0.800358 + 0.599522i \(0.795357\pi\)
\(450\) −1.64398 6.66988i −0.0774979 0.314421i
\(451\) 0.459729 + 1.58717i 0.0216478 + 0.0747369i
\(452\) 3.29364 + 16.1333i 0.154920 + 0.758846i
\(453\) 7.44694 6.08024i 0.349888 0.285674i
\(454\) −4.34411 + 35.7770i −0.203879 + 1.67910i
\(455\) 3.49227 + 0.196152i 0.163720 + 0.00919573i
\(456\) 0.631029 + 5.19699i 0.0295506 + 0.243371i
\(457\) 17.7679 + 17.0663i 0.831147 + 0.798327i 0.981732 0.190270i \(-0.0609362\pi\)
−0.150585 + 0.988597i \(0.548116\pi\)
\(458\) −16.5510 + 17.2314i −0.773377 + 0.805170i
\(459\) −1.06112 + 2.23626i −0.0495287 + 0.104379i
\(460\) 0.226636 0.156436i 0.0105670 0.00729384i
\(461\) 19.8675 31.4179i 0.925320 1.46328i 0.0395142 0.999219i \(-0.487419\pi\)
0.885805 0.464057i \(-0.153607\pi\)
\(462\) −4.14228 5.51237i −0.192716 0.256459i
\(463\) −6.40329 12.2005i −0.297586 0.567003i 0.690051 0.723761i \(-0.257588\pi\)
−0.987637 + 0.156758i \(0.949896\pi\)
\(464\) −9.07783 + 44.4662i −0.421428 + 2.06429i
\(465\) 7.13127 0.575695i 0.330705 0.0266972i
\(466\) 11.4018 + 3.30258i 0.528179 + 0.152989i
\(467\) −21.5884 11.3305i −0.998993 0.524312i −0.115775 0.993275i \(-0.536935\pi\)
−0.883218 + 0.468963i \(0.844628\pi\)
\(468\) 3.54053 3.87119i 0.163661 0.178946i
\(469\) 9.39904 4.93300i 0.434007 0.227785i
\(470\) 25.7349 5.25383i 1.18706 0.242341i
\(471\) 4.82050 + 3.62237i 0.222117 + 0.166910i
\(472\) −0.0844245 2.09497i −0.00388595 0.0964289i
\(473\) −8.26711 + 3.13530i −0.380122 + 0.144161i
\(474\) −8.58695 + 2.48724i −0.394412 + 0.114243i
\(475\) −18.7131 3.82031i −0.858617 0.175288i
\(476\) −2.02867 2.28990i −0.0929841 0.104957i
\(477\) −1.47620 + 1.80802i −0.0675905 + 0.0827834i
\(478\) 0.641690 15.9234i 0.0293502 0.728319i
\(479\) −4.47826 13.4140i −0.204617 0.612903i −0.999977 0.00676556i \(-0.997846\pi\)
0.795360 0.606137i \(-0.207282\pi\)
\(480\) 5.88378 5.21258i 0.268557 0.237921i
\(481\) 1.95668 + 18.5667i 0.0892167 + 0.846567i
\(482\) 42.2333 + 37.4154i 1.92367 + 1.70423i
\(483\) 0.0551793 0.129511i 0.00251075 0.00589294i
\(484\) −5.87188 + 10.1704i −0.266904 + 0.462291i
\(485\) −5.39994 9.35298i −0.245199 0.424697i
\(486\) 1.84521 0.224049i 0.0837005 0.0101631i
\(487\) 13.5687 + 6.43845i 0.614858 + 0.291754i 0.710539 0.703658i \(-0.248451\pi\)
−0.0956804 + 0.995412i \(0.530503\pi\)
\(488\) 2.22561 1.28495i 0.100748 0.0581672i
\(489\) 4.39733 + 3.03526i 0.198854 + 0.137259i
\(490\) 12.2613 5.22406i 0.553910 0.235999i
\(491\) 4.03010 + 0.654955i 0.181876 + 0.0295577i 0.250667 0.968073i \(-0.419350\pi\)
−0.0687911 + 0.997631i \(0.521914\pi\)
\(492\) 0.330735 0.440128i 0.0149107 0.0198425i
\(493\) 8.31100 + 21.9143i 0.374309 + 0.986971i
\(494\) −13.0694 32.0739i −0.588021 1.44307i
\(495\) 1.76855 4.66329i 0.0794905 0.209599i
\(496\) −16.0479 25.3778i −0.720573 1.13950i
\(497\) −4.17745 1.77984i −0.187384 0.0798369i
\(498\) 20.9923 + 13.2747i 0.940689 + 0.594856i
\(499\) 32.1518 + 3.90394i 1.43931 + 0.174764i 0.802683 0.596406i \(-0.203405\pi\)
0.636629 + 0.771170i \(0.280328\pi\)
\(500\) 5.66373 + 13.2933i 0.253290 + 0.594493i
\(501\) −0.253377 + 0.758956i −0.0113200 + 0.0339077i
\(502\) −30.0767 11.4066i −1.34239 0.509102i
\(503\) −6.09180 0.491781i −0.271620 0.0219274i −0.0560939 0.998425i \(-0.517865\pi\)
−0.215526 + 0.976498i \(0.569147\pi\)
\(504\) 0.239408 0.826533i 0.0106641 0.0368167i
\(505\) −18.3666 0.740149i −0.817303 0.0329362i
\(506\) −1.34525 −0.0598039
\(507\) 5.94203 11.5625i 0.263895 0.513510i
\(508\) −31.9331 −1.41680
\(509\) −19.3049 0.777962i −0.855676 0.0344826i −0.391450 0.920199i \(-0.628026\pi\)
−0.464226 + 0.885717i \(0.653667\pi\)
\(510\) 1.46187 5.04696i 0.0647327 0.223483i
\(511\) 12.7421 + 1.02865i 0.563679 + 0.0455048i
\(512\) −21.7663 8.25488i −0.961946 0.364818i
\(513\) 1.63650 4.90192i 0.0722533 0.216425i
\(514\) −16.4943 38.7136i −0.727533 1.70758i
\(515\) 10.8750 + 1.32046i 0.479209 + 0.0581865i
\(516\) 2.48979 + 1.57445i 0.109607 + 0.0693112i
\(517\) −49.7108 21.1798i −2.18628 0.931486i
\(518\) −4.36960 6.90997i −0.191989 0.303607i
\(519\) −0.540847 + 1.42610i −0.0237406 + 0.0625987i
\(520\) 2.28496 3.48982i 0.100202 0.153039i
\(521\) −0.400511 1.05606i −0.0175467 0.0462669i 0.925957 0.377630i \(-0.123261\pi\)
−0.943503 + 0.331363i \(0.892492\pi\)
\(522\) 10.5731 14.0703i 0.462774 0.615840i
\(523\) −8.77810 1.42658i −0.383839 0.0623800i −0.0345699 0.999402i \(-0.511006\pi\)
−0.349270 + 0.937022i \(0.613570\pi\)
\(524\) −19.7777 + 8.42648i −0.863992 + 0.368113i
\(525\) 2.58362 + 1.78335i 0.112759 + 0.0778316i
\(526\) 10.2447 5.91477i 0.446689 0.257896i
\(527\) −14.0093 6.64748i −0.610254 0.289569i
\(528\) −20.7786 + 2.52298i −0.904274 + 0.109799i
\(529\) 11.4863 + 19.8948i 0.499403 + 0.864991i
\(530\) 2.47742 4.29101i 0.107612 0.186390i
\(531\) −0.811263 + 1.90410i −0.0352058 + 0.0826311i
\(532\) 4.78092 + 4.23552i 0.207279 + 0.183633i
\(533\) 0.503909 1.26779i 0.0218267 0.0549142i
\(534\) −14.1591 + 12.5439i −0.612724 + 0.542826i
\(535\) 3.27929 + 9.82267i 0.141776 + 0.424671i
\(536\) 0.509724 12.6487i 0.0220167 0.546340i
\(537\) 15.2802 18.7148i 0.659389 0.807605i
\(538\) −1.37916 1.55675i −0.0594597 0.0671162i
\(539\) −26.8643 5.48438i −1.15713 0.236229i
\(540\) −1.59607 + 0.462308i −0.0686841 + 0.0198946i
\(541\) 4.20522 1.59483i 0.180797 0.0685672i −0.262545 0.964920i \(-0.584562\pi\)
0.443342 + 0.896352i \(0.353793\pi\)
\(542\) −0.278003 6.89857i −0.0119412 0.296319i
\(543\) 10.8200 + 8.13069i 0.464330 + 0.348921i
\(544\) −16.6927 + 3.40783i −0.715693 + 0.146110i
\(545\) 11.1986 5.87746i 0.479694 0.251763i
\(546\) −0.0901237 + 5.69218i −0.00385694 + 0.243603i
\(547\) 32.0008 + 16.7953i 1.36825 + 0.718115i 0.979161 0.203084i \(-0.0650965\pi\)
0.389092 + 0.921199i \(0.372789\pi\)
\(548\) 21.6574 + 6.27314i 0.925158 + 0.267975i
\(549\) −2.52865 + 0.204134i −0.107920 + 0.00871223i
\(550\) 6.00068 29.3933i 0.255870 1.25333i
\(551\) −22.7404 43.3282i −0.968773 1.84584i
\(552\) −0.100855 0.134213i −0.00429266 0.00571250i
\(553\) 2.18356 3.45303i 0.0928546 0.146838i
\(554\) −43.5403 + 30.0537i −1.84985 + 1.27686i
\(555\) 2.53507 5.34254i 0.107608 0.226778i
\(556\) −2.97204 + 3.09422i −0.126042 + 0.131224i
\(557\) 8.00692 + 7.69076i 0.339264 + 0.325868i 0.842922 0.538035i \(-0.180833\pi\)
−0.503658 + 0.863903i \(0.668013\pi\)
\(558\) 1.40358 + 11.5595i 0.0594183 + 0.489354i
\(559\) 6.97864 + 2.14170i 0.295165 + 0.0905844i
\(560\) −0.560459 + 4.61580i −0.0236837 + 0.195053i
\(561\) −8.37312 + 6.83644i −0.353514 + 0.288635i
\(562\) −1.73711 8.50894i −0.0732757 0.358928i
\(563\) 10.1319 + 34.9792i 0.427007 + 1.47420i 0.829361 + 0.558714i \(0.188705\pi\)
−0.402354 + 0.915484i \(0.631808\pi\)
\(564\) 4.30842 + 17.4799i 0.181417 + 0.736038i
\(565\) 1.03998 12.8824i 0.0437522 0.541968i
\(566\) −3.07271 18.9072i −0.129156 0.794728i
\(567\) −0.563288 + 0.635821i −0.0236559 + 0.0267020i
\(568\) −4.32913 + 3.25313i −0.181646 + 0.136498i
\(569\) −9.56222 11.7116i −0.400869 0.490976i 0.534241 0.845332i \(-0.320597\pi\)
−0.935110 + 0.354356i \(0.884700\pi\)
\(570\) −1.75976 + 10.8283i −0.0737084 + 0.453546i
\(571\) 20.4675 + 5.04478i 0.856538 + 0.211118i 0.643046 0.765827i \(-0.277670\pi\)
0.213492 + 0.976945i \(0.431516\pi\)
\(572\) 21.2163 8.64518i 0.887098 0.361473i
\(573\) 8.64230 2.13014i 0.361037 0.0889877i
\(574\) 0.0480733 + 0.595495i 0.00200654 + 0.0248555i
\(575\) 0.580958 0.193952i 0.0242276 0.00808837i
\(576\) 2.22217 + 2.31352i 0.0925902 + 0.0963966i
\(577\) 4.30643i 0.179279i 0.995974 + 0.0896396i \(0.0285715\pi\)
−0.995974 + 0.0896396i \(0.971428\pi\)
\(578\) 14.5760 14.0004i 0.606282 0.582342i
\(579\) 16.2321 + 13.2531i 0.674582 + 0.550779i
\(580\) −7.31195 + 13.9318i −0.303612 + 0.578484i
\(581\) −11.2036 + 1.82077i −0.464804 + 0.0755381i
\(582\) 14.8564 9.39464i 0.615819 0.389421i
\(583\) −9.20908 + 4.36976i −0.381401 + 0.180977i
\(584\) 8.66027 12.5466i 0.358364 0.519180i
\(585\) −3.51464 + 2.14540i −0.145313 + 0.0887013i
\(586\) −7.50752 10.8765i −0.310133 0.449305i
\(587\) −20.9231 12.0799i −0.863588 0.498593i 0.00162418 0.999999i \(-0.499483\pi\)
−0.865212 + 0.501406i \(0.832816\pi\)
\(588\) 3.91617 + 8.25316i 0.161500 + 0.340354i
\(589\) 30.7086 + 10.2520i 1.26533 + 0.422428i
\(590\) 1.05146 4.26593i 0.0432878 0.175625i
\(591\) −5.70483 + 0.229897i −0.234665 + 0.00945669i
\(592\) −24.7978 + 0.999317i −1.01918 + 0.0410717i
\(593\) −4.08604 + 16.5777i −0.167793 + 0.680765i 0.825426 + 0.564510i \(0.190935\pi\)
−0.993219 + 0.116254i \(0.962911\pi\)
\(594\) 7.69960 + 2.57051i 0.315919 + 0.105469i
\(595\) 1.02940 + 2.16941i 0.0422012 + 0.0889371i
\(596\) 15.9938 + 9.23403i 0.655132 + 0.378241i
\(597\) −2.63321 3.81486i −0.107770 0.156132i
\(598\) 0.877245 + 0.681201i 0.0358732 + 0.0278564i
\(599\) 16.3972 23.7554i 0.669971 0.970621i −0.329677 0.944094i \(-0.606940\pi\)
0.999648 0.0265269i \(-0.00844476\pi\)
\(600\) 3.38238 1.60496i 0.138085 0.0655222i
\(601\) 22.2975 14.1001i 0.909536 0.575156i 0.00426529 0.999991i \(-0.498642\pi\)
0.905271 + 0.424835i \(0.139668\pi\)
\(602\) −3.15533 + 0.512791i −0.128602 + 0.0208998i
\(603\) −5.80730 + 11.0649i −0.236491 + 0.450597i
\(604\) −10.8353 8.84677i −0.440883 0.359970i
\(605\) 6.64789 6.38538i 0.270275 0.259603i
\(606\) 29.9173i 1.21531i
\(607\) 0.503796 + 0.524507i 0.0204484 + 0.0212891i 0.731348 0.682004i \(-0.238892\pi\)
−0.710900 + 0.703293i \(0.751712\pi\)
\(608\) 33.7397 11.2640i 1.36833 0.456815i
\(609\) 0.647208 + 8.01711i 0.0262262 + 0.324870i
\(610\) 5.22878 1.28878i 0.211707 0.0521811i
\(611\) 21.6917 + 38.9836i 0.877552 + 1.57711i
\(612\) 3.49683 + 0.861891i 0.141351 + 0.0348399i
\(613\) 6.65200 40.9314i 0.268672 1.65320i −0.405106 0.914270i \(-0.632765\pi\)
0.673778 0.738934i \(-0.264670\pi\)
\(614\) −34.0651 41.7221i −1.37475 1.68377i
\(615\) −0.345460 + 0.259597i −0.0139303 + 0.0104679i
\(616\) 2.49195 2.81283i 0.100403 0.113332i
\(617\) −5.70010 35.0741i −0.229478 1.41203i −0.804528 0.593914i \(-0.797582\pi\)
0.575051 0.818118i \(-0.304982\pi\)
\(618\) −1.43471 + 17.7720i −0.0577124 + 0.714896i
\(619\) −6.27899 25.4749i −0.252374 1.02392i −0.951187 0.308617i \(-0.900134\pi\)
0.698813 0.715305i \(-0.253712\pi\)
\(620\) −2.89618 9.99878i −0.116313 0.401561i
\(621\) 0.0331494 + 0.162377i 0.00133024 + 0.00651595i
\(622\) 10.8611 8.86785i 0.435492 0.355568i
\(623\) 1.04200 8.58168i 0.0417470 0.343818i
\(624\) 14.8274 + 8.87650i 0.593570 + 0.355344i
\(625\) 0.860284 + 7.08508i 0.0344114 + 0.283403i
\(626\) 40.4719 + 38.8738i 1.61758 + 1.55371i
\(627\) 15.6337 16.2764i 0.624351 0.650018i
\(628\) 3.76110 7.92635i 0.150084 0.316296i
\(629\) −10.5480 + 7.28074i −0.420575 + 0.290302i
\(630\) 0.963750 1.52405i 0.0383967 0.0607195i
\(631\) 1.43619 + 1.91122i 0.0571739 + 0.0760846i 0.827124 0.562019i \(-0.189975\pi\)
−0.769950 + 0.638104i \(0.779719\pi\)
\(632\) −2.26423 4.31414i −0.0900664 0.171607i
\(633\) −0.909077 + 4.45295i −0.0361326 + 0.176989i
\(634\) 3.51695 0.283918i 0.139676 0.0112758i
\(635\) 24.0750 + 6.97340i 0.955386 + 0.276731i
\(636\) 3.00714 + 1.57827i 0.119241 + 0.0625823i
\(637\) 14.7411 + 17.1797i 0.584065 + 0.680686i
\(638\) 68.0570 35.7191i 2.69440 1.41413i
\(639\) 5.23756 1.06926i 0.207195 0.0422991i
\(640\) 7.12438 + 5.35362i 0.281616 + 0.211621i
\(641\) 0.384581 + 9.54328i 0.0151900 + 0.376937i 0.988848 + 0.148925i \(0.0475814\pi\)
−0.973658 + 0.228012i \(0.926778\pi\)
\(642\) −15.7593 + 5.97670i −0.621968 + 0.235881i
\(643\) −28.8178 + 8.34717i −1.13646 + 0.329180i −0.792541 0.609818i \(-0.791242\pi\)
−0.343921 + 0.938999i \(0.611755\pi\)
\(644\) −0.200689 0.0409711i −0.00790827 0.00161449i
\(645\) −1.53328 1.73072i −0.0603728 0.0681468i
\(646\) 15.0375 18.4176i 0.591644 0.724632i
\(647\) −1.62378 + 40.2936i −0.0638372 + 1.58410i 0.577205 + 0.816599i \(0.304143\pi\)
−0.641042 + 0.767506i \(0.721498\pi\)
\(648\) 0.320791 + 0.960886i 0.0126019 + 0.0377472i
\(649\) −6.76552 + 5.99372i −0.265570 + 0.235274i
\(650\) −18.7970 + 16.1289i −0.737281 + 0.632627i
\(651\) −3.98317 3.52878i −0.156113 0.138304i
\(652\) 3.04727 7.15221i 0.119340 0.280102i
\(653\) 1.69484 2.93554i 0.0663241 0.114877i −0.830956 0.556337i \(-0.812206\pi\)
0.897281 + 0.441461i \(0.145540\pi\)
\(654\) 10.2922 + 17.8265i 0.402455 + 0.697073i
\(655\) 16.7509 2.03393i 0.654512 0.0794721i
\(656\) 1.63846 + 0.777461i 0.0639713 + 0.0303547i
\(657\) −13.0331 + 7.52464i −0.508468 + 0.293564i
\(658\) −16.0781 11.0979i −0.626790 0.432642i
\(659\) −5.65040 + 2.40741i −0.220108 + 0.0937794i −0.499206 0.866483i \(-0.666375\pi\)
0.279098 + 0.960263i \(0.409965\pi\)
\(660\) −7.16270 1.16405i −0.278808 0.0453106i
\(661\) 21.5261 28.6460i 0.837268 1.11420i −0.154731 0.987957i \(-0.549451\pi\)
0.991999 0.126245i \(-0.0402926\pi\)
\(662\) 1.44900 + 3.82071i 0.0563171 + 0.148496i
\(663\) 8.92194 0.218142i 0.346499 0.00847195i
\(664\) −4.80004 + 12.6567i −0.186278 + 0.491174i
\(665\) −2.67949 4.23727i −0.103906 0.164314i
\(666\) 8.85448 + 3.77254i 0.343104 + 0.146183i
\(667\) 1.32628 + 0.838690i 0.0513539 + 0.0324742i
\(668\) 1.15571 + 0.140329i 0.0447158 + 0.00542948i
\(669\) 1.27300 + 2.98784i 0.0492169 + 0.115516i
\(670\) 8.40023 25.1618i 0.324529 0.972084i
\(671\) −10.3588 3.92857i −0.399897 0.151661i
\(672\) −5.82776 0.470466i −0.224811 0.0181486i
\(673\) −13.8870 + 47.9435i −0.535305 + 1.84809i −0.00547074 + 0.999985i \(0.501741\pi\)
−0.529834 + 0.848101i \(0.677746\pi\)
\(674\) −37.0171 1.49174i −1.42585 0.0574596i
\(675\) −3.69573 −0.142249
\(676\) −18.2129 5.10581i −0.700496 0.196377i
\(677\) 16.8874 0.649035 0.324517 0.945880i \(-0.394798\pi\)
0.324517 + 0.945880i \(0.394798\pi\)
\(678\) 21.0183 + 0.847008i 0.807203 + 0.0325292i
\(679\) −2.23490 + 7.71576i −0.0857675 + 0.296104i
\(680\) 2.85435 + 0.230427i 0.109459 + 0.00883648i
\(681\) 18.1291 + 6.87547i 0.694709 + 0.263468i
\(682\) −16.1032 + 48.2350i −0.616624 + 1.84701i
\(683\) −18.4147 43.2209i −0.704620 1.65380i −0.755542 0.655101i \(-0.772626\pi\)
0.0509220 0.998703i \(-0.483784\pi\)
\(684\) −7.46445 0.906349i −0.285411 0.0346551i
\(685\) −14.9580 9.45888i −0.571516 0.361405i
\(686\) −19.2880 8.21783i −0.736418 0.313758i
\(687\) 6.87004 + 10.8641i 0.262108 + 0.414491i
\(688\) −3.44107 + 9.07337i −0.131190 + 0.345919i
\(689\) 8.21801 + 1.81370i 0.313081 + 0.0690963i
\(690\) −0.124751 0.328940i −0.00474917 0.0125225i
\(691\) −16.3732 + 21.7887i −0.622864 + 0.828882i −0.995060 0.0992724i \(-0.968348\pi\)
0.372196 + 0.928154i \(0.378605\pi\)
\(692\) 2.19045 + 0.355983i 0.0832684 + 0.0135324i
\(693\) −3.41276 + 1.45404i −0.129640 + 0.0552344i
\(694\) −3.40573 2.35081i −0.129280 0.0892354i
\(695\) 2.91638 1.68377i 0.110624 0.0638691i
\(696\) 8.66590 + 4.11202i 0.328480 + 0.155866i
\(697\) 0.929751 0.112892i 0.0352168 0.00427610i
\(698\) −4.71155 8.16065i −0.178335 0.308885i
\(699\) 3.19311 5.53064i 0.120775 0.209188i
\(700\) 1.79040 4.20223i 0.0676709 0.158829i
\(701\) 32.6795 + 28.9515i 1.23429 + 1.09348i 0.992384 + 0.123183i \(0.0393102\pi\)
0.241904 + 0.970300i \(0.422228\pi\)
\(702\) −3.71930 5.57511i −0.140376 0.210419i
\(703\) 20.0295 17.7446i 0.755428 0.669251i
\(704\) 4.43619 + 13.2880i 0.167195 + 0.500811i
\(705\) 0.568989 14.1193i 0.0214293 0.531764i
\(706\) 25.7643 31.5555i 0.969652 1.18761i
\(707\) 9.06628 + 10.2337i 0.340972 + 0.384878i
\(708\) 2.95060 + 0.602369i 0.110890 + 0.0226384i
\(709\) −13.3675 + 3.87195i −0.502028 + 0.145414i −0.519563 0.854432i \(-0.673905\pi\)
0.0175354 + 0.999846i \(0.494418\pi\)
\(710\) −10.6102 + 4.02391i −0.398192 + 0.151014i
\(711\) 0.193663 + 4.80570i 0.00726294 + 0.180228i
\(712\) −8.24173 6.19326i −0.308872 0.232102i
\(713\) −1.01723 + 0.207668i −0.0380954 + 0.00777724i
\(714\) −3.46055 + 1.81624i −0.129508 + 0.0679710i
\(715\) −17.8833 + 1.88465i −0.668796 + 0.0704820i
\(716\) −31.1270 16.3367i −1.16327 0.610531i
\(717\) −8.23510 2.38533i −0.307546 0.0890817i
\(718\) 11.1435 0.899597i 0.415872 0.0335727i
\(719\) 9.38772 45.9841i 0.350103 1.71492i −0.299031 0.954243i \(-0.596664\pi\)
0.649134 0.760674i \(-0.275131\pi\)
\(720\) −2.54380 4.84680i −0.0948017 0.180630i
\(721\) −4.89495 6.51400i −0.182298 0.242594i
\(722\) −7.65643 + 12.1077i −0.284943 + 0.450601i
\(723\) 24.9818 17.2437i 0.929083 0.641300i
\(724\) 8.44207 17.7913i 0.313747 0.661208i
\(725\) −24.2411 + 25.2377i −0.900292 + 0.937304i
\(726\) 10.8199 + 10.3927i 0.401565 + 0.385709i
\(727\) 1.36972 + 11.2807i 0.0508001 + 0.418377i 0.995818 + 0.0913584i \(0.0291209\pi\)
−0.945018 + 0.327019i \(0.893956\pi\)
\(728\) −3.04935 + 0.572398i −0.113016 + 0.0212145i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) 24.7459 20.2044i 0.915887 0.747799i
\(731\) 1.00241 + 4.91015i 0.0370756 + 0.181609i
\(732\) 1.02695 + 3.54544i 0.0379571 + 0.131043i
\(733\) −1.28478 5.21255i −0.0474544 0.192530i 0.942431 0.334402i \(-0.108534\pi\)
−0.989885 + 0.141871i \(0.954688\pi\)
\(734\) 2.32684 28.8231i 0.0858852 1.06388i
\(735\) −1.15019 7.07740i −0.0424254 0.261054i
\(736\) −0.756414 + 0.853815i −0.0278818 + 0.0314720i
\(737\) −43.6272 + 32.7837i −1.60703 + 1.20760i
\(738\) −0.444810 0.544794i −0.0163737 0.0200541i
\(739\) 3.79718 23.3650i 0.139681 0.859494i −0.818746 0.574156i \(-0.805330\pi\)
0.958427 0.285338i \(-0.0921058\pi\)
\(740\) −8.35413 2.05911i −0.307104 0.0756943i
\(741\) −18.4368 + 2.69742i −0.677291 + 0.0990921i
\(742\) −3.57830 + 0.881971i −0.131363 + 0.0323782i
\(743\) −0.790138 9.78761i −0.0289873 0.359073i −0.994949 0.100386i \(-0.967992\pi\)
0.965961 0.258687i \(-0.0832898\pi\)
\(744\) −6.01958 + 2.00963i −0.220688 + 0.0736766i
\(745\) −10.0415 10.4544i −0.367894 0.383018i
\(746\) 26.8053i 0.981414i
\(747\) 9.63694 9.25641i 0.352597 0.338674i
\(748\) 12.1829 + 9.94705i 0.445452 + 0.363700i
\(749\) 3.57951 6.82019i 0.130792 0.249204i
\(750\) 18.2202 2.96107i 0.665307 0.108123i
\(751\) 19.0191 12.0269i 0.694016 0.438869i −0.140334 0.990104i \(-0.544818\pi\)
0.834350 + 0.551235i \(0.185843\pi\)
\(752\) −53.5786 + 25.4234i −1.95381 + 0.927095i
\(753\) −9.83072 + 14.2423i −0.358251 + 0.519017i
\(754\) −62.4674 11.1697i −2.27493 0.406777i
\(755\) 6.23704 + 9.03591i 0.226989 + 0.328850i
\(756\) 1.07036 + 0.617975i 0.0389288 + 0.0224755i
\(757\) −8.63287 18.1934i −0.313767 0.661250i 0.683896 0.729580i \(-0.260284\pi\)
−0.997663 + 0.0683296i \(0.978233\pi\)
\(758\) −26.5361 8.85904i −0.963833 0.321775i
\(759\) −0.173201 + 0.702706i −0.00628681 + 0.0255066i
\(760\) −5.97394 + 0.240741i −0.216697 + 0.00873261i
\(761\) 45.5758 1.83664i 1.65212 0.0665782i 0.803407 0.595430i \(-0.203018\pi\)
0.848714 + 0.528852i \(0.177377\pi\)
\(762\) −9.76275 + 39.6091i −0.353667 + 1.43488i
\(763\) −8.92284 2.97888i −0.323028 0.107843i
\(764\) −5.55196 11.7005i −0.200863 0.423309i
\(765\) −2.44811 1.41342i −0.0885116 0.0511022i
\(766\) 20.8799 + 30.2497i 0.754420 + 1.09297i
\(767\) 7.44688 0.482652i 0.268891 0.0174275i
\(768\) −11.8840 + 17.2170i −0.428827 + 0.621263i
\(769\) 13.9060 6.59849i 0.501464 0.237948i −0.161121 0.986935i \(-0.551511\pi\)
0.662585 + 0.748987i \(0.269460\pi\)
\(770\) 6.65562 4.20876i 0.239852 0.151673i
\(771\) −22.3460 + 3.63158i −0.804772 + 0.130788i
\(772\) 14.1694 26.9976i 0.509969 0.971665i
\(773\) 32.5603 + 26.5847i