Properties

Label 273.2.r.b.68.5
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.5
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.28

$q$-expansion

\(f(q)\) \(=\) \(q-1.97104i q^{2} +(1.69142 - 0.372976i) q^{3} -1.88498 q^{4} +(-0.272603 + 0.472162i) q^{5} +(-0.735148 - 3.33384i) q^{6} +(2.35644 + 1.20299i) q^{7} -0.226699i q^{8} +(2.72178 - 1.26171i) q^{9} +O(q^{10})\) \(q-1.97104i q^{2} +(1.69142 - 0.372976i) q^{3} -1.88498 q^{4} +(-0.272603 + 0.472162i) q^{5} +(-0.735148 - 3.33384i) q^{6} +(2.35644 + 1.20299i) q^{7} -0.226699i q^{8} +(2.72178 - 1.26171i) q^{9} +(0.930648 + 0.537310i) q^{10} +(0.383707 + 0.221534i) q^{11} +(-3.18829 + 0.703053i) q^{12} +(-2.64192 - 2.45362i) q^{13} +(2.37115 - 4.64463i) q^{14} +(-0.284980 + 0.900296i) q^{15} -4.21680 q^{16} -3.83879 q^{17} +(-2.48688 - 5.36472i) q^{18} +(0.0717668 - 0.0414346i) q^{19} +(0.513852 - 0.890018i) q^{20} +(4.43441 + 1.15587i) q^{21} +(0.436651 - 0.756301i) q^{22} +7.16086i q^{23} +(-0.0845531 - 0.383442i) q^{24} +(2.35138 + 4.07270i) q^{25} +(-4.83618 + 5.20732i) q^{26} +(4.13307 - 3.14924i) q^{27} +(-4.44185 - 2.26763i) q^{28} +(-3.66493 + 2.11595i) q^{29} +(1.77452 + 0.561706i) q^{30} +(5.32612 - 3.07503i) q^{31} +7.85807i q^{32} +(0.731636 + 0.231592i) q^{33} +7.56640i q^{34} +(-1.21038 + 0.784680i) q^{35} +(-5.13051 + 2.37831i) q^{36} -3.94217 q^{37} +(-0.0816691 - 0.141455i) q^{38} +(-5.38373 - 3.16473i) q^{39} +(0.107038 + 0.0617987i) q^{40} +(-2.97274 - 5.14894i) q^{41} +(2.27826 - 8.74038i) q^{42} +(-3.19077 + 5.52657i) q^{43} +(-0.723283 - 0.417588i) q^{44} +(-0.146231 + 1.62907i) q^{45} +14.1143 q^{46} +(-0.322950 + 0.559365i) q^{47} +(-7.13237 + 1.57276i) q^{48} +(4.10561 + 5.66957i) q^{49} +(8.02744 - 4.63465i) q^{50} +(-6.49300 + 1.43178i) q^{51} +(4.97998 + 4.62504i) q^{52} +(7.39479 - 4.26939i) q^{53} +(-6.20727 - 8.14644i) q^{54} +(-0.209199 + 0.120781i) q^{55} +(0.272718 - 0.534202i) q^{56} +(0.105933 - 0.0968504i) q^{57} +(4.17061 + 7.22371i) q^{58} -5.84841 q^{59} +(0.537183 - 1.69704i) q^{60} +(-4.76950 + 2.75367i) q^{61} +(-6.06101 - 10.4980i) q^{62} +(7.93154 + 0.301135i) q^{63} +7.05494 q^{64} +(1.87870 - 0.578549i) q^{65} +(0.456476 - 1.44208i) q^{66} +(5.03321 - 8.71777i) q^{67} +7.23607 q^{68} +(2.67082 + 12.1120i) q^{69} +(1.54663 + 2.38570i) q^{70} +(7.56167 + 4.36573i) q^{71} +(-0.286029 - 0.617024i) q^{72} +(12.7809 - 7.37904i) q^{73} +7.77015i q^{74} +(5.49617 + 6.01163i) q^{75} +(-0.135279 + 0.0781036i) q^{76} +(0.637679 + 0.983629i) q^{77} +(-6.23779 + 10.6115i) q^{78} +(-5.78537 + 10.0206i) q^{79} +(1.14951 - 1.99101i) q^{80} +(5.81616 - 6.86821i) q^{81} +(-10.1488 + 5.85939i) q^{82} -1.87826 q^{83} +(-8.35879 - 2.17880i) q^{84} +(1.04647 - 1.81253i) q^{85} +(10.8931 + 6.28912i) q^{86} +(-5.40973 + 4.94588i) q^{87} +(0.0502214 - 0.0869860i) q^{88} -13.2339 q^{89} +(3.21095 + 0.288227i) q^{90} +(-3.27382 - 8.96003i) q^{91} -13.4981i q^{92} +(7.86177 - 7.18768i) q^{93} +(1.10253 + 0.636546i) q^{94} +0.0451807i q^{95} +(2.93087 + 13.2913i) q^{96} +(1.99439 + 1.15146i) q^{97} +(11.1749 - 8.09230i) q^{98} +(1.32388 + 0.118836i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.97104i 1.39373i −0.717201 0.696867i \(-0.754577\pi\)
0.717201 0.696867i \(-0.245423\pi\)
\(3\) 1.69142 0.372976i 0.976540 0.215338i
\(4\) −1.88498 −0.942492
\(5\) −0.272603 + 0.472162i −0.121912 + 0.211157i −0.920521 0.390692i \(-0.872236\pi\)
0.798610 + 0.601849i \(0.205569\pi\)
\(6\) −0.735148 3.33384i −0.300123 1.36104i
\(7\) 2.35644 + 1.20299i 0.890650 + 0.454689i
\(8\) 0.226699i 0.0801501i
\(9\) 2.72178 1.26171i 0.907260 0.420571i
\(10\) 0.930648 + 0.537310i 0.294297 + 0.169912i
\(11\) 0.383707 + 0.221534i 0.115692 + 0.0667949i 0.556729 0.830694i \(-0.312056\pi\)
−0.441037 + 0.897489i \(0.645389\pi\)
\(12\) −3.18829 + 0.703053i −0.920381 + 0.202954i
\(13\) −2.64192 2.45362i −0.732737 0.680512i
\(14\) 2.37115 4.64463i 0.633716 1.24133i
\(15\) −0.284980 + 0.900296i −0.0735815 + 0.232455i
\(16\) −4.21680 −1.05420
\(17\) −3.83879 −0.931044 −0.465522 0.885036i \(-0.654133\pi\)
−0.465522 + 0.885036i \(0.654133\pi\)
\(18\) −2.48688 5.36472i −0.586164 1.26448i
\(19\) 0.0717668 0.0414346i 0.0164644 0.00950575i −0.491745 0.870739i \(-0.663641\pi\)
0.508210 + 0.861233i \(0.330308\pi\)
\(20\) 0.513852 0.890018i 0.114901 0.199014i
\(21\) 4.43441 + 1.15587i 0.967667 + 0.252232i
\(22\) 0.436651 0.756301i 0.0930943 0.161244i
\(23\) 7.16086i 1.49314i 0.665306 + 0.746571i \(0.268301\pi\)
−0.665306 + 0.746571i \(0.731699\pi\)
\(24\) −0.0845531 0.383442i −0.0172593 0.0782698i
\(25\) 2.35138 + 4.07270i 0.470275 + 0.814540i
\(26\) −4.83618 + 5.20732i −0.948453 + 1.02124i
\(27\) 4.13307 3.14924i 0.795410 0.606072i
\(28\) −4.44185 2.26763i −0.839431 0.428541i
\(29\) −3.66493 + 2.11595i −0.680560 + 0.392922i −0.800066 0.599912i \(-0.795202\pi\)
0.119506 + 0.992834i \(0.461869\pi\)
\(30\) 1.77452 + 0.561706i 0.323981 + 0.102553i
\(31\) 5.32612 3.07503i 0.956599 0.552293i 0.0614742 0.998109i \(-0.480420\pi\)
0.895125 + 0.445816i \(0.147086\pi\)
\(32\) 7.85807i 1.38912i
\(33\) 0.731636 + 0.231592i 0.127361 + 0.0403150i
\(34\) 7.56640i 1.29763i
\(35\) −1.21038 + 0.784680i −0.204591 + 0.132635i
\(36\) −5.13051 + 2.37831i −0.855085 + 0.396385i
\(37\) −3.94217 −0.648088 −0.324044 0.946042i \(-0.605043\pi\)
−0.324044 + 0.946042i \(0.605043\pi\)
\(38\) −0.0816691 0.141455i −0.0132485 0.0229470i
\(39\) −5.38373 3.16473i −0.862086 0.506762i
\(40\) 0.107038 + 0.0617987i 0.0169243 + 0.00977123i
\(41\) −2.97274 5.14894i −0.464265 0.804130i 0.534903 0.844913i \(-0.320348\pi\)
−0.999168 + 0.0407834i \(0.987015\pi\)
\(42\) 2.27826 8.74038i 0.351544 1.34867i
\(43\) −3.19077 + 5.52657i −0.486588 + 0.842795i −0.999881 0.0154185i \(-0.995092\pi\)
0.513293 + 0.858213i \(0.328425\pi\)
\(44\) −0.723283 0.417588i −0.109039 0.0629537i
\(45\) −0.146231 + 1.62907i −0.0217989 + 0.242847i
\(46\) 14.1143 2.08104
\(47\) −0.322950 + 0.559365i −0.0471071 + 0.0815918i −0.888618 0.458649i \(-0.848334\pi\)
0.841510 + 0.540241i \(0.181667\pi\)
\(48\) −7.13237 + 1.57276i −1.02947 + 0.227009i
\(49\) 4.10561 + 5.66957i 0.586515 + 0.809938i
\(50\) 8.02744 4.63465i 1.13525 0.655438i
\(51\) −6.49300 + 1.43178i −0.909202 + 0.200489i
\(52\) 4.97998 + 4.62504i 0.690599 + 0.641378i
\(53\) 7.39479 4.26939i 1.01575 0.586445i 0.102882 0.994694i \(-0.467194\pi\)
0.912871 + 0.408248i \(0.133860\pi\)
\(54\) −6.20727 8.14644i −0.844702 1.10859i
\(55\) −0.209199 + 0.120781i −0.0282084 + 0.0162861i
\(56\) 0.272718 0.534202i 0.0364434 0.0713857i
\(57\) 0.105933 0.0968504i 0.0140312 0.0128281i
\(58\) 4.17061 + 7.22371i 0.547628 + 0.948520i
\(59\) −5.84841 −0.761398 −0.380699 0.924699i \(-0.624317\pi\)
−0.380699 + 0.924699i \(0.624317\pi\)
\(60\) 0.537183 1.69704i 0.0693500 0.219087i
\(61\) −4.76950 + 2.75367i −0.610672 + 0.352572i −0.773228 0.634128i \(-0.781359\pi\)
0.162556 + 0.986699i \(0.448026\pi\)
\(62\) −6.06101 10.4980i −0.769749 1.33324i
\(63\) 7.93154 + 0.301135i 0.999280 + 0.0379394i
\(64\) 7.05494 0.881868
\(65\) 1.87870 0.578549i 0.233024 0.0717601i
\(66\) 0.456476 1.44208i 0.0561884 0.177508i
\(67\) 5.03321 8.71777i 0.614904 1.06505i −0.375497 0.926824i \(-0.622528\pi\)
0.990401 0.138222i \(-0.0441386\pi\)
\(68\) 7.23607 0.877502
\(69\) 2.67082 + 12.1120i 0.321529 + 1.45811i
\(70\) 1.54663 + 2.38570i 0.184858 + 0.285146i
\(71\) 7.56167 + 4.36573i 0.897405 + 0.518117i 0.876357 0.481662i \(-0.159967\pi\)
0.0210474 + 0.999778i \(0.493300\pi\)
\(72\) −0.286029 0.617024i −0.0337088 0.0727170i
\(73\) 12.7809 7.37904i 1.49589 0.863651i 0.495898 0.868381i \(-0.334839\pi\)
0.999989 + 0.00472968i \(0.00150551\pi\)
\(74\) 7.77015i 0.903262i
\(75\) 5.49617 + 6.01163i 0.634643 + 0.694163i
\(76\) −0.135279 + 0.0781036i −0.0155176 + 0.00895909i
\(77\) 0.637679 + 0.983629i 0.0726703 + 0.112095i
\(78\) −6.23779 + 10.6115i −0.706291 + 1.20152i
\(79\) −5.78537 + 10.0206i −0.650905 + 1.12740i 0.331999 + 0.943280i \(0.392277\pi\)
−0.982904 + 0.184120i \(0.941056\pi\)
\(80\) 1.14951 1.99101i 0.128519 0.222602i
\(81\) 5.81616 6.86821i 0.646240 0.763135i
\(82\) −10.1488 + 5.85939i −1.12074 + 0.647061i
\(83\) −1.87826 −0.206166 −0.103083 0.994673i \(-0.532871\pi\)
−0.103083 + 0.994673i \(0.532871\pi\)
\(84\) −8.35879 2.17880i −0.912019 0.237727i
\(85\) 1.04647 1.81253i 0.113505 0.196597i
\(86\) 10.8931 + 6.28912i 1.17463 + 0.678174i
\(87\) −5.40973 + 4.94588i −0.579984 + 0.530254i
\(88\) 0.0502214 0.0869860i 0.00535362 0.00927274i
\(89\) −13.2339 −1.40279 −0.701397 0.712771i \(-0.747440\pi\)
−0.701397 + 0.712771i \(0.747440\pi\)
\(90\) 3.21095 + 0.288227i 0.338464 + 0.0303818i
\(91\) −3.27382 8.96003i −0.343190 0.939266i
\(92\) 13.4981i 1.40727i
\(93\) 7.86177 7.18768i 0.815227 0.745327i
\(94\) 1.10253 + 0.636546i 0.113717 + 0.0656547i
\(95\) 0.0451807i 0.00463544i
\(96\) 2.93087 + 13.2913i 0.299131 + 1.35653i
\(97\) 1.99439 + 1.15146i 0.202499 + 0.116913i 0.597821 0.801630i \(-0.296033\pi\)
−0.395321 + 0.918543i \(0.629367\pi\)
\(98\) 11.1749 8.09230i 1.12884 0.817446i
\(99\) 1.32388 + 0.118836i 0.133055 + 0.0119435i
\(100\) −4.43231 7.67698i −0.443231 0.767698i
\(101\) −6.72115 + 11.6414i −0.668779 + 1.15836i 0.309466 + 0.950910i \(0.399850\pi\)
−0.978246 + 0.207450i \(0.933484\pi\)
\(102\) 2.82208 + 12.7979i 0.279428 + 1.26718i
\(103\) −3.33506 1.92550i −0.328613 0.189725i 0.326612 0.945159i \(-0.394093\pi\)
−0.655225 + 0.755434i \(0.727426\pi\)
\(104\) −0.556233 + 0.598920i −0.0545432 + 0.0587289i
\(105\) −1.75459 + 1.77866i −0.171230 + 0.173580i
\(106\) −8.41512 14.5754i −0.817348 1.41569i
\(107\) 0.766743i 0.0741238i 0.999313 + 0.0370619i \(0.0117999\pi\)
−0.999313 + 0.0370619i \(0.988200\pi\)
\(108\) −7.79078 + 5.93627i −0.749668 + 0.571218i
\(109\) 1.63804 + 2.83717i 0.156896 + 0.271752i 0.933748 0.357932i \(-0.116518\pi\)
−0.776852 + 0.629683i \(0.783185\pi\)
\(110\) 0.238064 + 0.412340i 0.0226985 + 0.0393150i
\(111\) −6.66784 + 1.47033i −0.632884 + 0.139558i
\(112\) −9.93663 5.07279i −0.938924 0.479334i
\(113\) 17.1700 + 9.91313i 1.61522 + 0.932548i 0.988133 + 0.153600i \(0.0490868\pi\)
0.627088 + 0.778948i \(0.284247\pi\)
\(114\) −0.190896 0.208799i −0.0178790 0.0195558i
\(115\) −3.38108 1.95207i −0.315287 0.182031i
\(116\) 6.90834 3.98853i 0.641423 0.370326i
\(117\) −10.2865 3.34487i −0.950986 0.309233i
\(118\) 11.5274i 1.06119i
\(119\) −9.04588 4.61805i −0.829235 0.423336i
\(120\) 0.204096 + 0.0646046i 0.0186313 + 0.00589757i
\(121\) −5.40185 9.35627i −0.491077 0.850570i
\(122\) 5.42759 + 9.40086i 0.491391 + 0.851114i
\(123\) −6.94858 7.60025i −0.626532 0.685291i
\(124\) −10.0396 + 5.79639i −0.901587 + 0.520532i
\(125\) −5.28999 −0.473151
\(126\) 0.593548 15.6334i 0.0528774 1.39273i
\(127\) −2.52619 4.37549i −0.224163 0.388262i 0.731905 0.681407i \(-0.238631\pi\)
−0.956068 + 0.293145i \(0.905298\pi\)
\(128\) 1.81059i 0.160035i
\(129\) −3.33564 + 10.5378i −0.293687 + 0.927803i
\(130\) −1.14034 3.70299i −0.100014 0.324773i
\(131\) 9.22290 15.9745i 0.805808 1.39570i −0.109936 0.993939i \(-0.535065\pi\)
0.915744 0.401762i \(-0.131602\pi\)
\(132\) −1.37912 0.436548i −0.120037 0.0379966i
\(133\) 0.218960 0.0113029i 0.0189862 0.000980090i
\(134\) −17.1830 9.92063i −1.48439 0.857012i
\(135\) 0.360264 + 2.80997i 0.0310066 + 0.241844i
\(136\) 0.870250i 0.0746233i
\(137\) 11.8546i 1.01280i −0.862298 0.506402i \(-0.830975\pi\)
0.862298 0.506402i \(-0.169025\pi\)
\(138\) 23.8732 5.26429i 2.03222 0.448126i
\(139\) −13.1770 7.60777i −1.11766 0.645282i −0.176859 0.984236i \(-0.556594\pi\)
−0.940803 + 0.338954i \(0.889927\pi\)
\(140\) 2.28155 1.47911i 0.192826 0.125008i
\(141\) −0.337613 + 1.06657i −0.0284321 + 0.0898216i
\(142\) 8.60501 14.9043i 0.722117 1.25074i
\(143\) −0.470164 1.52675i −0.0393171 0.127673i
\(144\) −11.4772 + 5.32040i −0.956433 + 0.443366i
\(145\) 2.30725i 0.191607i
\(146\) −14.5444 25.1916i −1.20370 2.08487i
\(147\) 9.05890 + 8.05831i 0.747165 + 0.664638i
\(148\) 7.43092 0.610818
\(149\) −4.00950 + 2.31488i −0.328471 + 0.189643i −0.655162 0.755488i \(-0.727400\pi\)
0.326691 + 0.945131i \(0.394066\pi\)
\(150\) 11.8491 10.8332i 0.967478 0.884524i
\(151\) −6.21552 10.7656i −0.505812 0.876091i −0.999977 0.00672369i \(-0.997860\pi\)
0.494166 0.869368i \(-0.335474\pi\)
\(152\) −0.00939317 0.0162695i −0.000761887 0.00131963i
\(153\) −10.4483 + 4.84346i −0.844699 + 0.391570i
\(154\) 1.93877 1.25689i 0.156230 0.101283i
\(155\) 3.35305i 0.269323i
\(156\) 10.1482 + 5.96546i 0.812510 + 0.477619i
\(157\) −7.76199 + 4.48138i −0.619474 + 0.357653i −0.776664 0.629915i \(-0.783090\pi\)
0.157190 + 0.987568i \(0.449756\pi\)
\(158\) 19.7509 + 11.4032i 1.57129 + 0.907188i
\(159\) 10.9153 9.97939i 0.865640 0.791417i
\(160\) −3.71028 2.14213i −0.293323 0.169350i
\(161\) −8.61447 + 16.8741i −0.678916 + 1.32987i
\(162\) −13.5375 11.4639i −1.06361 0.900686i
\(163\) −9.84836 17.0579i −0.771383 1.33607i −0.936805 0.349852i \(-0.886232\pi\)
0.165422 0.986223i \(-0.447101\pi\)
\(164\) 5.60358 + 9.70568i 0.437566 + 0.757886i
\(165\) −0.308795 + 0.282318i −0.0240396 + 0.0219784i
\(166\) 3.70212i 0.287340i
\(167\) 5.40460 + 9.36105i 0.418221 + 0.724380i 0.995761 0.0919829i \(-0.0293205\pi\)
−0.577540 + 0.816362i \(0.695987\pi\)
\(168\) 0.262035 1.00527i 0.0202164 0.0775586i
\(169\) 0.959472 + 12.9645i 0.0738056 + 0.997273i
\(170\) −3.57256 2.06262i −0.274003 0.158196i
\(171\) 0.143055 0.203325i 0.0109397 0.0155486i
\(172\) 6.01455 10.4175i 0.458605 0.794328i
\(173\) 1.34374 + 2.32743i 0.102163 + 0.176951i 0.912575 0.408908i \(-0.134090\pi\)
−0.810413 + 0.585859i \(0.800757\pi\)
\(174\) 9.74851 + 10.6628i 0.739033 + 0.808342i
\(175\) 0.641432 + 12.4258i 0.0484877 + 0.939300i
\(176\) −1.61802 0.934163i −0.121963 0.0704152i
\(177\) −9.89209 + 2.18131i −0.743535 + 0.163957i
\(178\) 26.0846i 1.95512i
\(179\) −2.65933 1.53536i −0.198767 0.114758i 0.397313 0.917683i \(-0.369943\pi\)
−0.596080 + 0.802925i \(0.703276\pi\)
\(180\) 0.275644 3.07076i 0.0205453 0.228881i
\(181\) 14.8814i 1.10613i −0.833139 0.553063i \(-0.813459\pi\)
0.833139 0.553063i \(-0.186541\pi\)
\(182\) −17.6605 + 6.45283i −1.30909 + 0.478315i
\(183\) −7.04016 + 6.43651i −0.520424 + 0.475801i
\(184\) 1.62336 0.119675
\(185\) 1.07464 1.86134i 0.0790095 0.136848i
\(186\) −14.1672 15.4958i −1.03879 1.13621i
\(187\) −1.47297 0.850422i −0.107715 0.0621890i
\(188\) 0.608755 1.05440i 0.0443980 0.0768997i
\(189\) 13.5279 2.44893i 0.984006 0.178133i
\(190\) 0.0890528 0.00646057
\(191\) 1.86007 1.07391i 0.134590 0.0777054i −0.431193 0.902260i \(-0.641907\pi\)
0.565783 + 0.824554i \(0.308574\pi\)
\(192\) 11.9328 2.63132i 0.861179 0.189899i
\(193\) −7.16502 + 12.4102i −0.515749 + 0.893304i 0.484084 + 0.875022i \(0.339153\pi\)
−0.999833 + 0.0182823i \(0.994180\pi\)
\(194\) 2.26957 3.93101i 0.162946 0.282230i
\(195\) 2.96188 1.67928i 0.212105 0.120255i
\(196\) −7.73901 10.6871i −0.552786 0.763361i
\(197\) 11.1575 6.44181i 0.794942 0.458960i −0.0467573 0.998906i \(-0.514889\pi\)
0.841700 + 0.539946i \(0.181555\pi\)
\(198\) 0.234231 2.60941i 0.0166461 0.185443i
\(199\) 0.594301i 0.0421289i 0.999778 + 0.0210644i \(0.00670551\pi\)
−0.999778 + 0.0210644i \(0.993294\pi\)
\(200\) 0.923277 0.533054i 0.0652855 0.0376926i
\(201\) 5.26173 16.6226i 0.371134 1.17247i
\(202\) 22.9456 + 13.2476i 1.61444 + 0.932100i
\(203\) −11.1817 + 0.577210i −0.784799 + 0.0405122i
\(204\) 12.2392 2.69888i 0.856916 0.188959i
\(205\) 3.24151 0.226397
\(206\) −3.79523 + 6.57353i −0.264426 + 0.457999i
\(207\) 9.03495 + 19.4903i 0.627972 + 1.35467i
\(208\) 11.1404 + 10.3464i 0.772451 + 0.717397i
\(209\) 0.0367166 0.00253974
\(210\) 3.50581 + 3.45836i 0.241924 + 0.238649i
\(211\) −0.381963 0.661579i −0.0262954 0.0455450i 0.852578 0.522600i \(-0.175038\pi\)
−0.878874 + 0.477055i \(0.841704\pi\)
\(212\) −13.9391 + 8.04773i −0.957340 + 0.552720i
\(213\) 14.4182 + 4.56395i 0.987921 + 0.312717i
\(214\) 1.51128 0.103309
\(215\) −1.73962 3.01312i −0.118641 0.205493i
\(216\) −0.713929 0.936963i −0.0485767 0.0637522i
\(217\) 16.2499 0.838839i 1.10312 0.0569441i
\(218\) 5.59217 3.22864i 0.378749 0.218671i
\(219\) 18.8656 17.2480i 1.27482 1.16551i
\(220\) 0.394338 0.227671i 0.0265862 0.0153496i
\(221\) 10.1418 + 9.41895i 0.682210 + 0.633587i
\(222\) 2.89808 + 13.1426i 0.194506 + 0.882071i
\(223\) −2.67954 + 1.54704i −0.179435 + 0.103597i −0.587027 0.809567i \(-0.699702\pi\)
0.407592 + 0.913164i \(0.366369\pi\)
\(224\) −9.45322 + 18.5171i −0.631620 + 1.23722i
\(225\) 11.5385 + 8.11823i 0.769234 + 0.541215i
\(226\) 19.5391 33.8428i 1.29972 2.25119i
\(227\) 4.64073 0.308016 0.154008 0.988070i \(-0.450782\pi\)
0.154008 + 0.988070i \(0.450782\pi\)
\(228\) −0.199683 + 0.182562i −0.0132243 + 0.0120904i
\(229\) 12.0558 + 6.96041i 0.796669 + 0.459957i 0.842305 0.539001i \(-0.181198\pi\)
−0.0456363 + 0.998958i \(0.514532\pi\)
\(230\) −3.84760 + 6.66423i −0.253703 + 0.439427i
\(231\) 1.44545 + 1.42589i 0.0951037 + 0.0938164i
\(232\) 0.479683 + 0.830835i 0.0314927 + 0.0545470i
\(233\) −22.1345 12.7794i −1.45008 0.837205i −0.451596 0.892222i \(-0.649145\pi\)
−0.998485 + 0.0550173i \(0.982479\pi\)
\(234\) −6.59286 + 20.2750i −0.430989 + 1.32542i
\(235\) −0.176074 0.304969i −0.0114858 0.0198940i
\(236\) 11.0242 0.717612
\(237\) −6.04804 + 19.1067i −0.392863 + 1.24112i
\(238\) −9.10234 + 17.8298i −0.590017 + 1.15573i
\(239\) 15.5619i 1.00662i −0.864106 0.503309i \(-0.832116\pi\)
0.864106 0.503309i \(-0.167884\pi\)
\(240\) 1.20170 3.79637i 0.0775696 0.245055i
\(241\) 4.85425i 0.312689i −0.987703 0.156345i \(-0.950029\pi\)
0.987703 0.156345i \(-0.0499711\pi\)
\(242\) −18.4416 + 10.6472i −1.18547 + 0.684430i
\(243\) 7.27587 13.7863i 0.466747 0.884391i
\(244\) 8.99044 5.19063i 0.575554 0.332296i
\(245\) −3.79615 + 0.392970i −0.242527 + 0.0251060i
\(246\) −14.9804 + 13.6959i −0.955113 + 0.873219i
\(247\) −0.291267 0.0666218i −0.0185329 0.00423905i
\(248\) −0.697107 1.20742i −0.0442663 0.0766715i
\(249\) −3.17692 + 0.700545i −0.201329 + 0.0443952i
\(250\) 10.4268i 0.659447i
\(251\) 12.6213 21.8608i 0.796650 1.37984i −0.125136 0.992140i \(-0.539937\pi\)
0.921786 0.387699i \(-0.126730\pi\)
\(252\) −14.9508 0.567634i −0.941814 0.0357576i
\(253\) −1.58637 + 2.74767i −0.0997342 + 0.172745i
\(254\) −8.62424 + 4.97921i −0.541133 + 0.312423i
\(255\) 1.09398 3.45605i 0.0685076 0.216426i
\(256\) 17.6786 1.10491
\(257\) 15.3352 0.956582 0.478291 0.878201i \(-0.341256\pi\)
0.478291 + 0.878201i \(0.341256\pi\)
\(258\) 20.7704 + 6.57467i 1.29311 + 0.409321i
\(259\) −9.28947 4.74241i −0.577220 0.294679i
\(260\) −3.54132 + 1.09056i −0.219623 + 0.0676334i
\(261\) −7.30541 + 10.3832i −0.452193 + 0.642706i
\(262\) −31.4864 18.1787i −1.94523 1.12308i
\(263\) 5.77676 + 3.33522i 0.356211 + 0.205658i 0.667417 0.744684i \(-0.267400\pi\)
−0.311207 + 0.950342i \(0.600733\pi\)
\(264\) 0.0525016 0.165861i 0.00323125 0.0102080i
\(265\) 4.65538i 0.285978i
\(266\) −0.0222785 0.431578i −0.00136598 0.0264617i
\(267\) −22.3841 + 4.93593i −1.36988 + 0.302074i
\(268\) −9.48752 + 16.4329i −0.579543 + 1.00380i
\(269\) −0.524532 −0.0319813 −0.0159906 0.999872i \(-0.505090\pi\)
−0.0159906 + 0.999872i \(0.505090\pi\)
\(270\) 5.53855 0.710093i 0.337066 0.0432149i
\(271\) 28.7873i 1.74871i −0.485290 0.874353i \(-0.661286\pi\)
0.485290 0.874353i \(-0.338714\pi\)
\(272\) 16.1874 0.981507
\(273\) −8.87927 13.9341i −0.537398 0.843329i
\(274\) −23.3658 −1.41158
\(275\) 2.08363i 0.125648i
\(276\) −5.03446 22.8309i −0.303039 1.37426i
\(277\) 17.4150 1.04637 0.523184 0.852220i \(-0.324744\pi\)
0.523184 + 0.852220i \(0.324744\pi\)
\(278\) −14.9952 + 25.9724i −0.899352 + 1.55772i
\(279\) 10.6167 15.0896i 0.635605 0.903391i
\(280\) 0.177886 + 0.274392i 0.0106307 + 0.0163980i
\(281\) 20.8248i 1.24230i 0.783690 + 0.621152i \(0.213335\pi\)
−0.783690 + 0.621152i \(0.786665\pi\)
\(282\) 2.10225 + 0.665447i 0.125187 + 0.0396268i
\(283\) −23.7740 13.7259i −1.41322 0.815922i −0.417528 0.908664i \(-0.637103\pi\)
−0.995690 + 0.0927422i \(0.970437\pi\)
\(284\) −14.2536 8.22934i −0.845797 0.488321i
\(285\) 0.0168513 + 0.0764194i 0.000998185 + 0.00452669i
\(286\) −3.00927 + 0.926711i −0.177942 + 0.0547976i
\(287\) −0.810935 15.7094i −0.0478680 0.927294i
\(288\) 9.91464 + 21.3879i 0.584226 + 1.26030i
\(289\) −2.26366 −0.133157
\(290\) −4.54768 −0.267049
\(291\) 3.80281 + 1.20374i 0.222924 + 0.0705645i
\(292\) −24.0917 + 13.9094i −1.40986 + 0.813984i
\(293\) −11.5362 + 19.9814i −0.673955 + 1.16732i 0.302818 + 0.953048i \(0.402072\pi\)
−0.976773 + 0.214276i \(0.931261\pi\)
\(294\) 15.8832 17.8554i 0.926328 1.04135i
\(295\) 1.59429 2.76139i 0.0928232 0.160775i
\(296\) 0.893684i 0.0519444i
\(297\) 2.28355 0.292773i 0.132505 0.0169884i
\(298\) 4.56272 + 7.90286i 0.264311 + 0.457801i
\(299\) 17.5700 18.9184i 1.01610 1.09408i
\(300\) −10.3602 11.3318i −0.598147 0.654244i
\(301\) −14.1673 + 9.18455i −0.816589 + 0.529389i
\(302\) −21.2194 + 12.2510i −1.22104 + 0.704966i
\(303\) −7.02632 + 22.1972i −0.403651 + 1.27520i
\(304\) −0.302626 + 0.174721i −0.0173568 + 0.0100210i
\(305\) 3.00263i 0.171930i
\(306\) 9.54663 + 20.5941i 0.545745 + 1.17728i
\(307\) 7.55190i 0.431010i 0.976503 + 0.215505i \(0.0691397\pi\)
−0.976503 + 0.215505i \(0.930860\pi\)
\(308\) −1.20202 1.85412i −0.0684912 0.105649i
\(309\) −6.35914 2.01292i −0.361759 0.114511i
\(310\) 6.60898 0.375365
\(311\) −4.74562 8.21965i −0.269099 0.466094i 0.699530 0.714603i \(-0.253393\pi\)
−0.968629 + 0.248509i \(0.920059\pi\)
\(312\) −0.717440 + 1.22048i −0.0406170 + 0.0690963i
\(313\) −5.53459 3.19540i −0.312834 0.180615i 0.335360 0.942090i \(-0.391142\pi\)
−0.648194 + 0.761475i \(0.724475\pi\)
\(314\) 8.83297 + 15.2992i 0.498474 + 0.863381i
\(315\) −2.30434 + 3.66288i −0.129835 + 0.206380i
\(316\) 10.9053 18.8886i 0.613473 1.06257i
\(317\) 16.6710 + 9.62501i 0.936337 + 0.540595i 0.888810 0.458275i \(-0.151533\pi\)
0.0475271 + 0.998870i \(0.484866\pi\)
\(318\) −19.6697 21.5145i −1.10302 1.20647i
\(319\) −1.87501 −0.104981
\(320\) −1.92320 + 3.33107i −0.107510 + 0.186213i
\(321\) 0.285976 + 1.29688i 0.0159616 + 0.0723848i
\(322\) 33.2595 + 16.9794i 1.85348 + 0.946227i
\(323\) −0.275498 + 0.159059i −0.0153291 + 0.00885027i
\(324\) −10.9634 + 12.9465i −0.609076 + 0.719249i
\(325\) 3.78073 16.5291i 0.209717 0.916872i
\(326\) −33.6217 + 19.4115i −1.86213 + 1.07510i
\(327\) 3.82880 + 4.18789i 0.211733 + 0.231591i
\(328\) −1.16726 + 0.673917i −0.0644511 + 0.0372109i
\(329\) −1.43392 + 0.929603i −0.0790548 + 0.0512507i
\(330\) 0.556458 + 0.608646i 0.0306320 + 0.0335048i
\(331\) −4.58154 7.93547i −0.251824 0.436173i 0.712204 0.701973i \(-0.247697\pi\)
−0.964028 + 0.265800i \(0.914364\pi\)
\(332\) 3.54049 0.194310
\(333\) −10.7297 + 4.97389i −0.587984 + 0.272567i
\(334\) 18.4510 10.6527i 1.00959 0.582888i
\(335\) 2.74413 + 4.75297i 0.149928 + 0.259683i
\(336\) −18.6990 4.87408i −1.02011 0.265903i
\(337\) 29.6751 1.61651 0.808253 0.588836i \(-0.200413\pi\)
0.808253 + 0.588836i \(0.200413\pi\)
\(338\) 25.5536 1.89115i 1.38993 0.102865i
\(339\) 32.7390 + 10.3632i 1.77814 + 0.562853i
\(340\) −1.97257 + 3.41659i −0.106978 + 0.185291i
\(341\) 2.72489 0.147561
\(342\) −0.400761 0.281966i −0.0216707 0.0152470i
\(343\) 2.85415 + 18.2990i 0.154109 + 0.988054i
\(344\) 1.25287 + 0.723344i 0.0675501 + 0.0390001i
\(345\) −6.44689 2.04070i −0.347089 0.109868i
\(346\) 4.58744 2.64856i 0.246622 0.142387i
\(347\) 24.1021i 1.29387i −0.762547 0.646933i \(-0.776051\pi\)
0.762547 0.646933i \(-0.223949\pi\)
\(348\) 10.1973 9.32291i 0.546630 0.499760i
\(349\) 8.15072 4.70582i 0.436298 0.251897i −0.265728 0.964048i \(-0.585612\pi\)
0.702026 + 0.712151i \(0.252279\pi\)
\(350\) 24.4916 1.26429i 1.30913 0.0675789i
\(351\) −18.6463 1.82096i −0.995265 0.0971958i
\(352\) −1.74083 + 3.01520i −0.0927864 + 0.160711i
\(353\) 17.6164 30.5125i 0.937627 1.62402i 0.167745 0.985830i \(-0.446351\pi\)
0.769881 0.638187i \(-0.220315\pi\)
\(354\) 4.29945 + 19.4977i 0.228513 + 1.03629i
\(355\) −4.12266 + 2.38022i −0.218808 + 0.126329i
\(356\) 24.9458 1.32212
\(357\) −17.0228 4.43715i −0.900941 0.234839i
\(358\) −3.02626 + 5.24163i −0.159943 + 0.277029i
\(359\) −15.9685 9.21941i −0.842784 0.486582i 0.0154255 0.999881i \(-0.495090\pi\)
−0.858210 + 0.513299i \(0.828423\pi\)
\(360\) 0.369307 + 0.0331504i 0.0194642 + 0.00174718i
\(361\) −9.49657 + 16.4485i −0.499819 + 0.865712i
\(362\) −29.3318 −1.54164
\(363\) −12.6264 13.8106i −0.662716 0.724868i
\(364\) 6.17111 + 16.8895i 0.323454 + 0.885251i
\(365\) 8.04618i 0.421156i
\(366\) 12.6866 + 13.8764i 0.663139 + 0.725332i
\(367\) 10.1844 + 5.87995i 0.531620 + 0.306931i 0.741676 0.670759i \(-0.234031\pi\)
−0.210056 + 0.977689i \(0.567365\pi\)
\(368\) 30.1959i 1.57407i
\(369\) −14.5876 10.2635i −0.759402 0.534298i
\(370\) −3.66877 2.11816i −0.190730 0.110118i
\(371\) 22.5614 1.16465i 1.17133 0.0604654i
\(372\) −14.8193 + 13.5487i −0.768346 + 0.702465i
\(373\) 12.7164 + 22.0254i 0.658429 + 1.14043i 0.981022 + 0.193895i \(0.0621121\pi\)
−0.322593 + 0.946538i \(0.604555\pi\)
\(374\) −1.67621 + 2.90328i −0.0866749 + 0.150125i
\(375\) −8.94758 + 1.97304i −0.462051 + 0.101887i
\(376\) 0.126807 + 0.0732123i 0.00653959 + 0.00377564i
\(377\) 14.8742 + 3.40219i 0.766060 + 0.175222i
\(378\) −4.82692 26.6639i −0.248270 1.37144i
\(379\) 5.01100 + 8.67931i 0.257398 + 0.445826i 0.965544 0.260240i \(-0.0838016\pi\)
−0.708146 + 0.706066i \(0.750468\pi\)
\(380\) 0.0851650i 0.00436887i
\(381\) −5.90478 6.45856i −0.302511 0.330882i
\(382\) −2.11672 3.66626i −0.108301 0.187582i
\(383\) 10.1434 + 17.5690i 0.518306 + 0.897732i 0.999774 + 0.0212681i \(0.00677036\pi\)
−0.481468 + 0.876464i \(0.659896\pi\)
\(384\) 0.675306 + 3.06246i 0.0344616 + 0.156281i
\(385\) −0.638265 + 0.0329479i −0.0325290 + 0.00167918i
\(386\) 24.4609 + 14.1225i 1.24503 + 0.718817i
\(387\) −1.71161 + 19.0680i −0.0870061 + 0.969278i
\(388\) −3.75939 2.17049i −0.190854 0.110190i
\(389\) 0.485213 0.280138i 0.0246013 0.0142036i −0.487649 0.873040i \(-0.662145\pi\)
0.512250 + 0.858836i \(0.328812\pi\)
\(390\) −3.30991 5.83797i −0.167604 0.295617i
\(391\) 27.4890i 1.39018i
\(392\) 1.28528 0.930736i 0.0649167 0.0470093i
\(393\) 9.64165 30.4595i 0.486357 1.53648i
\(394\) −12.6970 21.9919i −0.639668 1.10794i
\(395\) −3.15421 5.46326i −0.158706 0.274886i
\(396\) −2.49549 0.224005i −0.125403 0.0112567i
\(397\) −32.4132 + 18.7137i −1.62677 + 0.939216i −0.641722 + 0.766938i \(0.721780\pi\)
−0.985048 + 0.172278i \(0.944887\pi\)
\(398\) 1.17139 0.0587164
\(399\) 0.366136 0.100785i 0.0183297 0.00504554i
\(400\) −9.91528 17.1738i −0.495764 0.858689i
\(401\) 36.6930i 1.83236i −0.400763 0.916182i \(-0.631255\pi\)
0.400763 0.916182i \(-0.368745\pi\)
\(402\) −32.7638 10.3711i −1.63411 0.517262i
\(403\) −21.6161 4.94429i −1.07678 0.246292i
\(404\) 12.6693 21.9438i 0.630320 1.09175i
\(405\) 1.65741 + 4.61846i 0.0823572 + 0.229493i
\(406\) 1.13770 + 22.0395i 0.0564632 + 1.09380i
\(407\) −1.51264 0.873322i −0.0749787 0.0432890i
\(408\) 0.324582 + 1.47195i 0.0160692 + 0.0728726i
\(409\) 23.3881i 1.15647i 0.815871 + 0.578234i \(0.196258\pi\)
−0.815871 + 0.578234i \(0.803742\pi\)
\(410\) 6.38914i 0.315537i
\(411\) −4.42146 20.0510i −0.218095 0.989043i
\(412\) 6.28654 + 3.62954i 0.309716 + 0.178814i
\(413\) −13.7814 7.03560i −0.678139 0.346199i
\(414\) 38.4160 17.8082i 1.88804 0.875226i
\(415\) 0.512019 0.886842i 0.0251340 0.0435334i
\(416\) 19.2807 20.7604i 0.945316 1.01786i
\(417\) −25.1254 7.95319i −1.23039 0.389469i
\(418\) 0.0723698i 0.00353972i
\(419\) −3.06783 5.31364i −0.149873 0.259588i 0.781307 0.624147i \(-0.214553\pi\)
−0.931180 + 0.364559i \(0.881220\pi\)
\(420\) 3.30737 3.35275i 0.161383 0.163598i
\(421\) 11.6799 0.569243 0.284622 0.958640i \(-0.408132\pi\)
0.284622 + 0.958640i \(0.408132\pi\)
\(422\) −1.30400 + 0.752863i −0.0634776 + 0.0366488i
\(423\) −0.173239 + 1.92994i −0.00842315 + 0.0938368i
\(424\) −0.967865 1.67639i −0.0470037 0.0814128i
\(425\) −9.02645 15.6343i −0.437847 0.758373i
\(426\) 8.99571 28.4189i 0.435844 1.37690i
\(427\) −14.5517 + 0.751175i −0.704206 + 0.0363519i
\(428\) 1.44530i 0.0698611i
\(429\) −1.36468 2.40701i −0.0658875 0.116211i
\(430\) −5.93897 + 3.42886i −0.286402 + 0.165354i
\(431\) 10.8897 + 6.28715i 0.524537 + 0.302841i 0.738789 0.673937i \(-0.235398\pi\)
−0.214252 + 0.976778i \(0.568731\pi\)
\(432\) −17.4283 + 13.2797i −0.838522 + 0.638921i
\(433\) 33.2740 + 19.2107i 1.59905 + 0.923209i 0.991671 + 0.128794i \(0.0411105\pi\)
0.607374 + 0.794416i \(0.292223\pi\)
\(434\) −1.65338 32.0292i −0.0793649 1.53745i
\(435\) −0.860549 3.90252i −0.0412602 0.187112i
\(436\) −3.08768 5.34802i −0.147873 0.256124i
\(437\) 0.296707 + 0.513912i 0.0141934 + 0.0245837i
\(438\) −33.9964 37.1847i −1.62441 1.77675i
\(439\) 5.47622i 0.261366i 0.991424 + 0.130683i \(0.0417169\pi\)
−0.991424 + 0.130683i \(0.958283\pi\)
\(440\) 0.0273810 + 0.0474252i 0.00130534 + 0.00226091i
\(441\) 18.3279 + 10.2512i 0.872758 + 0.488153i
\(442\) 18.5651 19.9898i 0.883052 0.950819i
\(443\) 32.4866 + 18.7562i 1.54349 + 0.891133i 0.998615 + 0.0526134i \(0.0167551\pi\)
0.544872 + 0.838519i \(0.316578\pi\)
\(444\) 12.5688 2.77155i 0.596488 0.131532i
\(445\) 3.60760 6.24856i 0.171017 0.296210i
\(446\) 3.04926 + 5.28148i 0.144387 + 0.250085i
\(447\) −5.91833 + 5.41088i −0.279928 + 0.255926i
\(448\) 16.6245 + 8.48706i 0.785436 + 0.400976i
\(449\) −8.43932 4.87244i −0.398276 0.229945i 0.287464 0.957791i \(-0.407188\pi\)
−0.685740 + 0.727847i \(0.740521\pi\)
\(450\) 16.0013 22.7428i 0.754310 1.07211i
\(451\) 2.63425i 0.124042i
\(452\) −32.3653 18.6861i −1.52233 0.878920i
\(453\) −14.5283 15.8909i −0.682600 0.746618i
\(454\) 9.14705i 0.429293i
\(455\) 5.12303 + 0.896753i 0.240172 + 0.0420404i
\(456\) −0.0219559 0.0240150i −0.00102818 0.00112460i
\(457\) −2.53174 −0.118430 −0.0592148 0.998245i \(-0.518860\pi\)
−0.0592148 + 0.998245i \(0.518860\pi\)
\(458\) 13.7192 23.7624i 0.641057 1.11034i
\(459\) −15.8660 + 12.0893i −0.740562 + 0.564279i
\(460\) 6.37329 + 3.67962i 0.297156 + 0.171563i
\(461\) −6.39308 + 11.0731i −0.297755 + 0.515727i −0.975622 0.219457i \(-0.929571\pi\)
0.677867 + 0.735185i \(0.262905\pi\)
\(462\) 2.81047 2.84904i 0.130755 0.132549i
\(463\) 8.19368 0.380792 0.190396 0.981707i \(-0.439023\pi\)
0.190396 + 0.981707i \(0.439023\pi\)
\(464\) 15.4543 8.92254i 0.717447 0.414218i
\(465\) 1.25061 + 5.67140i 0.0579955 + 0.263005i
\(466\) −25.1886 + 43.6280i −1.16684 + 2.02103i
\(467\) −17.8200 + 30.8651i −0.824610 + 1.42827i 0.0776075 + 0.996984i \(0.475272\pi\)
−0.902217 + 0.431282i \(0.858061\pi\)
\(468\) 19.3899 + 6.30503i 0.896297 + 0.291450i
\(469\) 22.3479 14.4880i 1.03193 0.668992i
\(470\) −0.601105 + 0.347048i −0.0277269 + 0.0160081i
\(471\) −11.4573 + 10.4749i −0.527925 + 0.482659i
\(472\) 1.32583i 0.0610261i
\(473\) −2.44864 + 1.41373i −0.112589 + 0.0650032i
\(474\) 37.6600 + 11.9209i 1.72978 + 0.547546i
\(475\) 0.337501 + 0.194857i 0.0154856 + 0.00894063i
\(476\) 17.0514 + 8.70495i 0.781547 + 0.398991i
\(477\) 14.7402 20.9504i 0.674910 0.959255i
\(478\) −30.6732 −1.40296
\(479\) −4.85613 + 8.41107i −0.221882 + 0.384312i −0.955380 0.295381i \(-0.904553\pi\)
0.733497 + 0.679693i \(0.237887\pi\)
\(480\) −7.07459 2.23939i −0.322909 0.102214i
\(481\) 10.4149 + 9.67259i 0.474878 + 0.441032i
\(482\) −9.56790 −0.435806
\(483\) −8.27703 + 31.7541i −0.376618 + 1.44486i
\(484\) 10.1824 + 17.6364i 0.462836 + 0.801656i
\(485\) −1.08735 + 0.627782i −0.0493740 + 0.0285061i
\(486\) −27.1733 14.3410i −1.23260 0.650521i
\(487\) 21.1622 0.958952 0.479476 0.877555i \(-0.340827\pi\)
0.479476 + 0.877555i \(0.340827\pi\)
\(488\) 0.624254 + 1.08124i 0.0282587 + 0.0489454i
\(489\) −23.0198 25.1787i −1.04099 1.13862i
\(490\) 0.774559 + 7.48235i 0.0349910 + 0.338018i
\(491\) −8.34337 + 4.81705i −0.376531 + 0.217390i −0.676308 0.736619i \(-0.736421\pi\)
0.299777 + 0.954009i \(0.403088\pi\)
\(492\) 13.0980 + 14.3263i 0.590502 + 0.645882i
\(493\) 14.0689 8.12269i 0.633632 0.365828i
\(494\) −0.131314 + 0.574098i −0.00590810 + 0.0258299i
\(495\) −0.417003 + 0.592690i −0.0187429 + 0.0266394i
\(496\) −22.4592 + 12.9668i −1.00845 + 0.582227i
\(497\) 12.5667 + 19.3842i 0.563691 + 0.869501i
\(498\) 1.38080 + 6.26183i 0.0618751 + 0.280599i
\(499\) −14.6610 + 25.3936i −0.656316 + 1.13677i 0.325246 + 0.945629i \(0.394553\pi\)
−0.981562 + 0.191143i \(0.938780\pi\)
\(500\) 9.97155 0.445941
\(501\) 12.6329 + 13.8176i 0.564395 + 0.617327i
\(502\) −43.0883 24.8771i −1.92313 1.11032i
\(503\) −1.57235 + 2.72340i −0.0701078 + 0.121430i −0.898948 0.438055i \(-0.855668\pi\)
0.828841 + 0.559485i \(0.189001\pi\)
\(504\) 0.0682669 1.79807i 0.00304085 0.0800924i
\(505\) −3.66441 6.34694i −0.163064 0.282435i
\(506\) 5.41577 + 3.12679i 0.240760 + 0.139003i
\(507\) 6.45832 + 21.5706i 0.286824 + 0.957983i
\(508\) 4.76183 + 8.24772i 0.211272 + 0.365934i
\(509\) −29.0330 −1.28686 −0.643432 0.765504i \(-0.722490\pi\)
−0.643432 + 0.765504i \(0.722490\pi\)
\(510\) −6.81200 2.15627i −0.301640 0.0954813i
\(511\) 38.9943 2.01293i 1.72500 0.0890467i
\(512\) 31.2240i 1.37992i
\(513\) 0.166130 0.397263i 0.00733482 0.0175396i
\(514\) 30.2262i 1.33322i
\(515\) 1.81829 1.04979i 0.0801236 0.0462594i
\(516\) 6.28764 19.8636i 0.276798 0.874447i
\(517\) −0.247836 + 0.143088i −0.0108998 + 0.00629302i
\(518\) −9.34746 + 18.3099i −0.410704 + 0.804490i
\(519\) 3.14090 + 3.43546i 0.137870 + 0.150800i
\(520\) −0.131156 0.425899i −0.00575159 0.0186769i
\(521\) 0.304773 + 0.527883i 0.0133524 + 0.0231270i 0.872624 0.488392i \(-0.162416\pi\)
−0.859272 + 0.511519i \(0.829083\pi\)
\(522\) 20.4657 + 14.3992i 0.895761 + 0.630237i
\(523\) 26.6694i 1.16617i −0.812411 0.583086i \(-0.801845\pi\)
0.812411 0.583086i \(-0.198155\pi\)
\(524\) −17.3850 + 30.1117i −0.759468 + 1.31544i
\(525\) 5.71944 + 20.7779i 0.249617 + 0.906822i
\(526\) 6.57383 11.3862i 0.286633 0.496463i
\(527\) −20.4459 + 11.8044i −0.890636 + 0.514209i
\(528\) −3.08516 0.976578i −0.134264 0.0425001i
\(529\) −28.2778 −1.22947
\(530\) 9.17593 0.398577
\(531\) −15.9181 + 7.37901i −0.690785 + 0.320222i
\(532\) −0.412736 + 0.0213059i −0.0178944 + 0.000923727i
\(533\) −4.77981 + 20.8971i −0.207037 + 0.905153i
\(534\) 9.72890 + 44.1199i 0.421011 + 1.90925i
\(535\) −0.362026 0.209016i −0.0156518 0.00903655i
\(536\) −1.97631 1.14102i −0.0853635 0.0492846i
\(537\) −5.07068 1.60507i −0.218816 0.0692640i
\(538\) 1.03387i 0.0445733i
\(539\) 0.319352 + 3.08499i 0.0137555 + 0.132880i
\(540\) −0.679092 5.29675i −0.0292235 0.227936i
\(541\) −10.7583 + 18.6339i −0.462534 + 0.801133i −0.999086 0.0427343i \(-0.986393\pi\)
0.536552 + 0.843867i \(0.319726\pi\)
\(542\) −56.7409 −2.43723
\(543\) −5.55040 25.1706i −0.238190 1.08018i
\(544\) 30.1655i 1.29334i
\(545\) −1.78614 −0.0765097
\(546\) −27.4646 + 17.5014i −1.17538 + 0.748989i
\(547\) −18.1656 −0.776705 −0.388353 0.921511i \(-0.626956\pi\)
−0.388353 + 0.921511i \(0.626956\pi\)
\(548\) 22.3457i 0.954560i
\(549\) −9.50718 + 13.5126i −0.405757 + 0.576705i
\(550\) 4.10692 0.175120
\(551\) −0.175347 + 0.303710i −0.00747003 + 0.0129385i
\(552\) 2.74577 0.605473i 0.116868 0.0257706i
\(553\) −25.6875 + 16.6530i −1.09235 + 0.708159i
\(554\) 34.3257i 1.45836i
\(555\) 1.12344 3.54912i 0.0476873 0.150652i
\(556\) 24.8385 + 14.3405i 1.05339 + 0.608174i
\(557\) 28.7566 + 16.6026i 1.21845 + 0.703475i 0.964587 0.263764i \(-0.0849639\pi\)
0.253868 + 0.967239i \(0.418297\pi\)
\(558\) −29.7421 20.9259i −1.25909 0.885864i
\(559\) 21.9899 6.77182i 0.930073 0.286417i
\(560\) 5.10393 3.30884i 0.215680 0.139824i
\(561\) −2.80860 0.889034i −0.118579 0.0375351i
\(562\) 41.0465 1.73144
\(563\) 22.5352 0.949744 0.474872 0.880055i \(-0.342494\pi\)
0.474872 + 0.880055i \(0.342494\pi\)
\(564\) 0.636395 2.01047i 0.0267971 0.0846561i
\(565\) −9.36120 + 5.40469i −0.393828 + 0.227377i
\(566\) −27.0543 + 46.8594i −1.13718 + 1.96965i
\(567\) 21.9678 9.18771i 0.922563 0.385848i
\(568\) 0.989706 1.71422i 0.0415271 0.0719271i
\(569\) 25.8988i 1.08573i 0.839819 + 0.542867i \(0.182661\pi\)
−0.839819 + 0.542867i \(0.817339\pi\)
\(570\) 0.150625 0.0332145i 0.00630900 0.00139120i
\(571\) 5.54250 + 9.59990i 0.231947 + 0.401743i 0.958381 0.285493i \(-0.0921572\pi\)
−0.726434 + 0.687236i \(0.758824\pi\)
\(572\) 0.886252 + 2.87790i 0.0370561 + 0.120331i
\(573\) 2.74560 2.51019i 0.114699 0.104865i
\(574\) −30.9637 + 1.59838i −1.29240 + 0.0667152i
\(575\) −29.1640 + 16.8379i −1.21622 + 0.702187i
\(576\) 19.2020 8.90132i 0.800083 0.370888i
\(577\) −15.6001 + 9.00673i −0.649441 + 0.374955i −0.788242 0.615365i \(-0.789009\pi\)
0.138801 + 0.990320i \(0.455675\pi\)
\(578\) 4.46177i 0.185585i
\(579\) −7.49034 + 23.6632i −0.311288 + 0.983407i
\(580\) 4.34914i 0.180588i
\(581\) −4.42601 2.25954i −0.183622 0.0937414i
\(582\) 2.37262 7.49547i 0.0983481 0.310697i
\(583\) 3.78325 0.156686
\(584\) −1.67282 2.89741i −0.0692217 0.119896i
\(585\) 4.38344 3.94506i 0.181233 0.163108i
\(586\) 39.3840 + 22.7384i 1.62694 + 0.939313i
\(587\) 5.52925 + 9.57695i 0.228217 + 0.395283i 0.957280 0.289164i \(-0.0933772\pi\)
−0.729063 + 0.684447i \(0.760044\pi\)
\(588\) −17.0759 15.1898i −0.704198 0.626416i
\(589\) 0.254826 0.441371i 0.0104999 0.0181864i
\(590\) −5.44281 3.14241i −0.224077 0.129371i
\(591\) 16.4694 15.0573i 0.677461 0.619374i
\(592\) 16.6233 0.683215
\(593\) −6.34378 + 10.9878i −0.260508 + 0.451213i −0.966377 0.257129i \(-0.917223\pi\)
0.705869 + 0.708342i \(0.250557\pi\)
\(594\) −0.577065 4.50097i −0.0236773 0.184677i
\(595\) 4.64640 3.01223i 0.190484 0.123489i
\(596\) 7.55784 4.36352i 0.309581 0.178737i
\(597\) 0.221660 + 1.00521i 0.00907193 + 0.0411405i
\(598\) −37.2889 34.6312i −1.52485 1.41617i
\(599\) −31.3527 + 18.1015i −1.28104 + 0.739607i −0.977038 0.213066i \(-0.931655\pi\)
−0.303999 + 0.952672i \(0.598322\pi\)
\(600\) 1.36283 1.24598i 0.0556373 0.0508668i
\(601\) 40.7500 23.5270i 1.66223 0.959687i 0.690577 0.723258i \(-0.257356\pi\)
0.971649 0.236428i \(-0.0759768\pi\)
\(602\) 18.1031 + 27.9243i 0.737827 + 1.13811i
\(603\) 2.69994 30.0783i 0.109950 1.22488i
\(604\) 11.7162 + 20.2930i 0.476724 + 0.825710i
\(605\) 5.89023 0.239472
\(606\) 43.7516 + 13.8491i 1.77729 + 0.562582i
\(607\) −16.6623 + 9.61998i −0.676302 + 0.390463i −0.798460 0.602048i \(-0.794352\pi\)
0.122158 + 0.992511i \(0.461018\pi\)
\(608\) 0.325596 + 0.563949i 0.0132047 + 0.0228711i
\(609\) −18.6976 + 5.14679i −0.757663 + 0.208558i
\(610\) −5.91830 −0.239625
\(611\) 2.22568 0.685401i 0.0900413 0.0277284i
\(612\) 19.6950 9.12985i 0.796122 0.369052i
\(613\) 7.03355 12.1825i 0.284082 0.492045i −0.688304 0.725423i \(-0.741644\pi\)
0.972386 + 0.233377i \(0.0749777\pi\)
\(614\) 14.8851 0.600712
\(615\) 5.48274 1.20900i 0.221086 0.0487518i
\(616\) 0.222987 0.144561i 0.00898442 0.00582453i
\(617\) −9.60577 5.54589i −0.386714 0.223269i 0.294022 0.955799i \(-0.405006\pi\)
−0.680735 + 0.732530i \(0.738340\pi\)
\(618\) −3.96755 + 12.5341i −0.159598 + 0.504195i
\(619\) 11.7915 6.80781i 0.473939 0.273629i −0.243948 0.969788i \(-0.578443\pi\)
0.717887 + 0.696159i \(0.245109\pi\)
\(620\) 6.32045i 0.253835i
\(621\) 22.5513 + 29.5963i 0.904951 + 1.18766i
\(622\) −16.2012 + 9.35378i −0.649610 + 0.375053i
\(623\) −31.1850 15.9204i −1.24940 0.637836i
\(624\) 22.7021 + 13.3450i 0.908812 + 0.534228i
\(625\) −10.3148 + 17.8658i −0.412593 + 0.714631i
\(626\) −6.29825 + 10.9089i −0.251729 + 0.436007i
\(627\) 0.0621031 0.0136944i 0.00248016 0.000546902i
\(628\) 14.6312 8.44734i 0.583850 0.337086i
\(629\) 15.1332 0.603399
\(630\) 7.21967 + 4.54194i 0.287638 + 0.180955i
\(631\) −12.1974 + 21.1265i −0.485571 + 0.841034i −0.999863 0.0165816i \(-0.994722\pi\)
0.514291 + 0.857616i \(0.328055\pi\)
\(632\) 2.27165 + 1.31154i 0.0903613 + 0.0521701i
\(633\) −0.892811 0.976543i −0.0354861 0.0388141i
\(634\) 18.9713 32.8592i 0.753445 1.30500i
\(635\) 2.75458 0.109312
\(636\) −20.5752 + 18.8110i −0.815859 + 0.745905i
\(637\) 3.06430 25.0521i 0.121412 0.992602i
\(638\) 3.69572i 0.146315i
\(639\) 26.0895 + 2.34189i 1.03208 + 0.0926438i
\(640\) −0.854892 0.493572i −0.0337926 0.0195101i
\(641\) 4.15171i 0.163983i −0.996633 0.0819914i \(-0.973872\pi\)
0.996633 0.0819914i \(-0.0261280\pi\)
\(642\) 2.55620 0.563670i 0.100885 0.0222463i
\(643\) −6.06294 3.50044i −0.239099 0.138044i 0.375664 0.926756i \(-0.377415\pi\)
−0.614762 + 0.788712i \(0.710748\pi\)
\(644\) 16.2382 31.8075i 0.639873 1.25339i
\(645\) −4.06625 4.44760i −0.160108 0.175124i
\(646\) 0.313511 + 0.543017i 0.0123349 + 0.0213647i
\(647\) 3.62396 6.27689i 0.142473 0.246770i −0.785955 0.618284i \(-0.787828\pi\)
0.928427 + 0.371514i \(0.121161\pi\)
\(648\) −1.55702 1.31852i −0.0611653 0.0517962i
\(649\) −2.24408 1.29562i −0.0880877 0.0508575i
\(650\) −32.5795 7.45196i −1.27787 0.292290i
\(651\) 27.1725 7.47965i 1.06497 0.293151i
\(652\) 18.5640 + 32.1538i 0.727023 + 1.25924i
\(653\) 11.2380i 0.439775i −0.975525 0.219888i \(-0.929431\pi\)
0.975525 0.219888i \(-0.0705691\pi\)
\(654\) 8.25448 7.54671i 0.322776 0.295100i
\(655\) 5.02837 + 8.70940i 0.196475 + 0.340304i
\(656\) 12.5355 + 21.7121i 0.489428 + 0.847714i
\(657\) 25.4765 36.2099i 0.993931 1.41268i
\(658\) 1.83228 + 2.82632i 0.0714298 + 0.110181i
\(659\) −13.9778 8.07010i −0.544499 0.314366i 0.202402 0.979303i \(-0.435125\pi\)
−0.746900 + 0.664936i \(0.768459\pi\)
\(660\) 0.582073 0.532165i 0.0226572 0.0207145i
\(661\) 35.4897 + 20.4900i 1.38039 + 0.796967i 0.992205 0.124615i \(-0.0397697\pi\)
0.388182 + 0.921583i \(0.373103\pi\)
\(662\) −15.6411 + 9.03039i −0.607908 + 0.350976i
\(663\) 20.6670 + 12.1487i 0.802640 + 0.471818i
\(664\) 0.425799i 0.0165242i
\(665\) −0.0543522 + 0.106466i −0.00210769 + 0.00412856i
\(666\) 9.80371 + 21.1486i 0.379886 + 0.819493i
\(667\) −15.1520 26.2440i −0.586688 1.01617i
\(668\) −10.1876 17.6454i −0.394170 0.682722i
\(669\) −3.95522 + 3.61608i −0.152918 + 0.139806i
\(670\) 9.36829 5.40878i 0.361928 0.208959i
\(671\) −2.44012 −0.0942000
\(672\) −9.08292 + 34.8459i −0.350381 + 1.34421i
\(673\) −12.9872 22.4945i −0.500621 0.867100i −1.00000 0.000716818i \(-0.999772\pi\)
0.499379 0.866384i \(-0.333562\pi\)
\(674\) 58.4907i 2.25298i
\(675\) 22.5443 + 9.42773i 0.867731 + 0.362873i
\(676\) −1.80859 24.4380i −0.0695612 0.939922i
\(677\) 14.1017 24.4249i 0.541974 0.938727i −0.456816 0.889561i \(-0.651010\pi\)
0.998791 0.0491659i \(-0.0156563\pi\)
\(678\) 20.4263 64.5298i 0.784467 2.47825i
\(679\) 3.31445 + 5.11258i 0.127197 + 0.196203i
\(680\) −0.410899 0.237232i −0.0157572 0.00909745i
\(681\) 7.84941 1.73088i 0.300790 0.0663275i
\(682\) 5.37087i 0.205661i
\(683\) 18.1673i 0.695152i −0.937652 0.347576i \(-0.887005\pi\)
0.937652 0.347576i \(-0.112995\pi\)
\(684\) −0.269656 + 0.383264i −0.0103106 + 0.0146545i
\(685\) 5.59727 + 3.23158i 0.213861 + 0.123472i
\(686\) 36.0680 5.62563i 1.37708 0.214787i
\(687\) 22.9874 + 7.27644i 0.877024 + 0.277613i
\(688\) 13.4548 23.3045i 0.512961 0.888475i
\(689\) −30.0119 6.86466i −1.14336 0.261523i
\(690\) −4.02229 + 12.7071i −0.153126 + 0.483749i
\(691\) 16.9791i 0.645916i 0.946413 + 0.322958i \(0.104677\pi\)
−0.946413 + 0.322958i \(0.895323\pi\)
\(692\) −2.53293 4.38716i −0.0962875 0.166775i
\(693\) 2.97668 + 1.87265i 0.113075 + 0.0711361i
\(694\) −47.5060 −1.80330
\(695\) 7.18419 4.14780i 0.272512 0.157335i
\(696\) 1.12122 + 1.22638i 0.0424999 + 0.0464858i
\(697\) 11.4117 + 19.7657i 0.432251 + 0.748680i
\(698\) −9.27534 16.0654i −0.351077 0.608083i
\(699\) −42.2051 13.3596i −1.59634 0.505307i
\(700\) −1.20909 23.4224i −0.0456993 0.885283i
\(701\) 15.1990i 0.574057i −0.957922 0.287029i \(-0.907333\pi\)
0.957922 0.287029i \(-0.0926675\pi\)
\(702\) −3.58918 + 36.7525i −0.135465 + 1.38713i
\(703\) −0.282917 + 0.163342i −0.0106704 + 0.00616056i
\(704\) 2.70703 + 1.56291i 0.102025 + 0.0589043i
\(705\) −0.411560 0.450158i −0.0155003 0.0169539i
\(706\) −60.1413 34.7226i −2.26345 1.30680i
\(707\) −29.8425 + 19.3467i −1.12234 + 0.727607i
\(708\) 18.6464 4.11174i 0.700776 0.154529i
\(709\) −1.99144 3.44927i −0.0747899 0.129540i 0.826205 0.563370i \(-0.190495\pi\)
−0.900995 + 0.433830i \(0.857162\pi\)
\(710\) 4.69150 + 8.12591i 0.176069 + 0.304960i
\(711\) −3.10342 + 34.5732i −0.116387 + 1.29660i
\(712\) 3.00012i 0.112434i
\(713\) 22.0199 + 38.1395i 0.824651 + 1.42834i
\(714\) −8.74579 + 33.5525i −0.327303 + 1.25567i
\(715\) 0.849039 + 0.194202i 0.0317523 + 0.00726274i
\(716\) 5.01279 + 2.89414i 0.187337 + 0.108159i
\(717\) −5.80422 26.3217i −0.216763 0.983003i
\(718\) −18.1718 + 31.4745i −0.678165 + 1.17462i
\(719\) 19.2400 + 33.3246i 0.717530 + 1.24280i 0.961976 + 0.273136i \(0.0880608\pi\)
−0.244445 + 0.969663i \(0.578606\pi\)
\(720\) 0.616628 6.86945i 0.0229804 0.256009i
\(721\) −5.54250 8.54938i −0.206414 0.318396i
\(722\) 32.4207 + 18.7181i 1.20657 + 0.696615i
\(723\) −1.81051 8.21055i −0.0673338 0.305354i
\(724\) 28.0512i 1.04252i
\(725\) −17.2353 9.95078i −0.640101 0.369563i
\(726\) −27.2212 + 24.8872i −1.01027 + 0.923649i
\(727\) 46.7806i 1.73500i 0.497439 + 0.867499i \(0.334274\pi\)
−0.497439 + 0.867499i \(0.665726\pi\)
\(728\) −2.03123 + 0.742172i −0.0752823 + 0.0275067i
\(729\) 7.16457 26.0321i 0.265355 0.964151i
\(730\) 15.8593 0.586979
\(731\) 12.2487 21.2154i 0.453035 0.784679i
\(732\) 13.2706 12.1327i 0.490495 0.448439i
\(733\) −24.6315 14.2210i −0.909784 0.525264i −0.0294225 0.999567i \(-0.509367\pi\)
−0.880362 + 0.474303i \(0.842700\pi\)
\(734\) 11.5896 20.0738i 0.427780 0.740936i
\(735\) −6.27430 + 2.08055i −0.231431 + 0.0767422i
\(736\) −56.2705 −2.07416
\(737\) 3.86256 2.23005i 0.142279 0.0821449i
\(738\) −20.2298 + 28.7528i −0.744669 + 1.05840i
\(739\) 13.6727 23.6818i 0.502959 0.871151i −0.497035 0.867730i \(-0.665578\pi\)
0.999994 0.00342014i \(-0.00108867\pi\)
\(740\) −2.02569 + 3.50860i −0.0744658 + 0.128979i
\(741\) −0.517502 0.00404983i −0.0190109 0.000148774i
\(742\) −2.29556 44.4694i −0.0842727 1.63252i
\(743\) −46.2640 + 26.7105i −1.69726 + 0.979914i −0.748921 + 0.662659i \(0.769428\pi\)
−0.948340 + 0.317256i \(0.897239\pi\)
\(744\) −1.62944 1.78225i −0.0597381 0.0653406i
\(745\) 2.52417i 0.0924786i
\(746\) 43.4129 25.0644i 1.58946 0.917675i
\(747\) −5.11221 + 2.36983i −0.187046 + 0.0867074i
\(748\) 2.77653 + 1.60303i 0.101520 + 0.0586127i
\(749\) −0.922388 + 1.80678i −0.0337033 + 0.0660184i
\(750\) 3.88893 + 17.6360i 0.142004 + 0.643976i
\(751\) −9.92940 −0.362329 −0.181164 0.983453i \(-0.557987\pi\)
−0.181164 + 0.983453i \(0.557987\pi\)
\(752\) 1.36181 2.35873i 0.0496603 0.0860141i
\(753\) 13.1944 41.6831i 0.480829 1.51902i
\(754\) 6.70584 29.3176i 0.244212 1.06768i
\(755\) 6.77747 0.246657
\(756\) −25.4998 + 4.61619i −0.927419 + 0.167889i
\(757\) 19.0677 + 33.0262i 0.693028 + 1.20036i 0.970841 + 0.239724i \(0.0770569\pi\)
−0.277814 + 0.960635i \(0.589610\pi\)
\(758\) 17.1072 9.87686i 0.621363 0.358744i
\(759\) −1.65840 + 5.23914i −0.0601960 + 0.190169i
\(760\) 0.0102424 0.000371531
\(761\) −20.1162 34.8423i −0.729211 1.26303i −0.957217 0.289371i \(-0.906554\pi\)
0.228006 0.973660i \(-0.426779\pi\)
\(762\) −12.7301 + 11.6385i −0.461161 + 0.421620i
\(763\) 0.446841 + 8.65617i 0.0161767 + 0.313374i
\(764\) −3.50620 + 2.02430i −0.126850 + 0.0732367i
\(765\) 0.561351 6.25365i 0.0202957 0.226101i
\(766\) 34.6291 19.9931i 1.25120 0.722380i
\(767\) 15.4510 + 14.3498i 0.557904 + 0.518141i
\(768\) 29.9019 6.59370i 1.07899 0.237930i
\(769\) −16.6964 + 9.63964i −0.602086 + 0.347614i −0.769862 0.638211i \(-0.779675\pi\)
0.167776 + 0.985825i \(0.446342\pi\)
\(770\) 0.0649416 + 1.25804i 0.00234033 + 0.0453367i
\(771\) 25.9382 5.71965i 0.934140 0.205988i
\(772\) 13.5060 23.3930i 0.486090 0.841932i
\(773\) −7.51951 −0.270458 −0.135229 0.990814i \(-0.543177\pi\)