Properties

Label 225.2.q.a.106.19
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.19
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.19

$q$-expansion

\(f(q)\) \(=\) \(q+(1.06328 + 0.226007i) q^{2} +(-1.68082 + 0.418155i) q^{3} +(-0.747608 - 0.332856i) q^{4} +(-2.22650 - 0.206637i) q^{5} +(-1.88168 + 0.0647394i) q^{6} +(1.73969 - 3.01324i) q^{7} +(-2.47854 - 1.80077i) q^{8} +(2.65029 - 1.40569i) q^{9} +O(q^{10})\) \(q+(1.06328 + 0.226007i) q^{2} +(-1.68082 + 0.418155i) q^{3} +(-0.747608 - 0.332856i) q^{4} +(-2.22650 - 0.206637i) q^{5} +(-1.88168 + 0.0647394i) q^{6} +(1.73969 - 3.01324i) q^{7} +(-2.47854 - 1.80077i) q^{8} +(2.65029 - 1.40569i) q^{9} +(-2.32069 - 0.722917i) q^{10} +(-3.44115 - 0.731439i) q^{11} +(1.39578 + 0.246855i) q^{12} +(-2.12159 + 0.450957i) q^{13} +(2.53079 - 2.81073i) q^{14} +(3.82875 - 0.583704i) q^{15} +(-1.13322 - 1.25857i) q^{16} +(-1.54674 - 1.12377i) q^{17} +(3.13570 - 0.895651i) q^{18} +(-0.970198 - 0.704890i) q^{19} +(1.59577 + 0.895588i) q^{20} +(-1.66410 + 5.79216i) q^{21} +(-3.49359 - 1.55545i) q^{22} +(1.34509 - 1.49387i) q^{23} +(4.91898 + 1.99035i) q^{24} +(4.91460 + 0.920154i) q^{25} -2.35776 q^{26} +(-3.86686 + 3.47093i) q^{27} +(-2.30358 + 1.67365i) q^{28} +(0.374039 + 3.55874i) q^{29} +(4.20295 + 0.244683i) q^{30} +(-0.663380 + 6.31164i) q^{31} +(2.14316 + 3.71207i) q^{32} +(6.08980 - 0.209520i) q^{33} +(-1.39064 - 1.54446i) q^{34} +(-4.49607 + 6.34948i) q^{35} +(-2.44927 + 0.168734i) q^{36} +(2.46324 - 7.58107i) q^{37} +(-0.872281 - 0.968766i) q^{38} +(3.37743 - 1.64513i) q^{39} +(5.14637 + 4.52157i) q^{40} +(-2.53573 + 0.538987i) q^{41} +(-3.07848 + 5.78258i) q^{42} +(5.34941 - 9.26545i) q^{43} +(2.32917 + 1.69224i) q^{44} +(-6.19134 + 2.58211i) q^{45} +(1.76783 - 1.28440i) q^{46} +(-1.37238 - 13.0573i) q^{47} +(2.43102 + 1.64156i) q^{48} +(-2.55306 - 4.42203i) q^{49} +(5.01763 + 2.08912i) q^{50} +(3.06970 + 1.24208i) q^{51} +(1.73622 + 0.369044i) q^{52} +(-11.2674 + 8.18624i) q^{53} +(-4.89601 + 2.81663i) q^{54} +(7.51058 + 2.33962i) q^{55} +(-9.73804 + 4.33566i) q^{56} +(1.92548 + 0.779098i) q^{57} +(-0.406593 + 3.86847i) q^{58} +(5.32898 - 1.13271i) q^{59} +(-3.05669 - 0.838041i) q^{60} +(-0.516362 - 0.109756i) q^{61} +(-2.13183 + 6.56111i) q^{62} +(0.375033 - 10.4314i) q^{63} +(2.48651 + 7.65270i) q^{64} +(4.81690 - 0.565658i) q^{65} +(6.52251 + 1.15356i) q^{66} +(1.12533 - 10.7068i) q^{67} +(0.782301 + 1.35499i) q^{68} +(-1.63618 + 3.07338i) q^{69} +(-6.21561 + 5.73513i) q^{70} +(6.38098 - 4.63605i) q^{71} +(-9.10018 - 1.28851i) q^{72} +(-2.75054 - 8.46529i) q^{73} +(4.33248 - 7.50408i) q^{74} +(-8.64532 + 0.508455i) q^{75} +(0.490700 + 0.849917i) q^{76} +(-8.19054 + 9.09652i) q^{77} +(3.96296 - 0.985909i) q^{78} +(-0.706394 - 6.72089i) q^{79} +(2.26305 + 3.03637i) q^{80} +(5.04810 - 7.45095i) q^{81} -2.81801 q^{82} +(-3.25148 + 1.44765i) q^{83} +(3.17205 - 3.77635i) q^{84} +(3.21161 + 2.82170i) q^{85} +(7.78197 - 8.64276i) q^{86} +(-2.11680 - 5.82519i) q^{87} +(7.21189 + 8.00962i) q^{88} +(2.71707 + 8.36227i) q^{89} +(-7.16670 + 1.34622i) q^{90} +(-2.33207 + 7.17736i) q^{91} +(-1.50284 + 0.669108i) q^{92} +(-1.52423 - 10.8861i) q^{93} +(1.49183 - 14.1938i) q^{94} +(2.01449 + 1.76992i) q^{95} +(-5.15449 - 5.34313i) q^{96} +(1.79542 + 17.0823i) q^{97} +(-1.71520 - 5.27886i) q^{98} +(-10.1482 + 2.89865i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.06328 + 0.226007i 0.751852 + 0.159811i 0.567870 0.823119i \(-0.307768\pi\)
0.183982 + 0.982930i \(0.441101\pi\)
\(3\) −1.68082 + 0.418155i −0.970420 + 0.241422i
\(4\) −0.747608 0.332856i −0.373804 0.166428i
\(5\) −2.22650 0.206637i −0.995721 0.0924109i
\(6\) −1.88168 + 0.0647394i −0.768194 + 0.0264298i
\(7\) 1.73969 3.01324i 0.657542 1.13890i −0.323708 0.946157i \(-0.604930\pi\)
0.981250 0.192739i \(-0.0617370\pi\)
\(8\) −2.47854 1.80077i −0.876298 0.636668i
\(9\) 2.65029 1.40569i 0.883431 0.468562i
\(10\) −2.32069 0.722917i −0.733866 0.228607i
\(11\) −3.44115 0.731439i −1.03755 0.220537i −0.342511 0.939514i \(-0.611278\pi\)
−0.695034 + 0.718976i \(0.744611\pi\)
\(12\) 1.39578 + 0.246855i 0.402926 + 0.0712608i
\(13\) −2.12159 + 0.450957i −0.588422 + 0.125073i −0.492495 0.870315i \(-0.663915\pi\)
−0.0959273 + 0.995388i \(0.530582\pi\)
\(14\) 2.53079 2.81073i 0.676382 0.751199i
\(15\) 3.82875 0.583704i 0.988578 0.150712i
\(16\) −1.13322 1.25857i −0.283305 0.314643i
\(17\) −1.54674 1.12377i −0.375140 0.272555i 0.384199 0.923250i \(-0.374478\pi\)
−0.759339 + 0.650695i \(0.774478\pi\)
\(18\) 3.13570 0.895651i 0.739090 0.211107i
\(19\) −0.970198 0.704890i −0.222579 0.161713i 0.470908 0.882182i \(-0.343926\pi\)
−0.693487 + 0.720469i \(0.743926\pi\)
\(20\) 1.59577 + 0.895588i 0.356824 + 0.200260i
\(21\) −1.66410 + 5.79216i −0.363137 + 1.26395i
\(22\) −3.49359 1.55545i −0.744837 0.331623i
\(23\) 1.34509 1.49387i 0.280470 0.311494i −0.586406 0.810017i \(-0.699458\pi\)
0.866876 + 0.498524i \(0.166124\pi\)
\(24\) 4.91898 + 1.99035i 1.00408 + 0.406278i
\(25\) 4.91460 + 0.920154i 0.982920 + 0.184031i
\(26\) −2.35776 −0.462394
\(27\) −3.86686 + 3.47093i −0.744178 + 0.667981i
\(28\) −2.30358 + 1.67365i −0.435336 + 0.316290i
\(29\) 0.374039 + 3.55874i 0.0694573 + 0.660842i 0.972756 + 0.231830i \(0.0744714\pi\)
−0.903299 + 0.429012i \(0.858862\pi\)
\(30\) 4.20295 + 0.244683i 0.767349 + 0.0446728i
\(31\) −0.663380 + 6.31164i −0.119147 + 1.13360i 0.757623 + 0.652693i \(0.226361\pi\)
−0.876769 + 0.480911i \(0.840306\pi\)
\(32\) 2.14316 + 3.71207i 0.378862 + 0.656207i
\(33\) 6.08980 0.209520i 1.06010 0.0364727i
\(34\) −1.39064 1.54446i −0.238493 0.264873i
\(35\) −4.49607 + 6.34948i −0.759975 + 1.07326i
\(36\) −2.44927 + 0.168734i −0.408212 + 0.0281224i
\(37\) 2.46324 7.58107i 0.404954 1.24632i −0.515980 0.856601i \(-0.672572\pi\)
0.920934 0.389719i \(-0.127428\pi\)
\(38\) −0.872281 0.968766i −0.141503 0.157155i
\(39\) 3.37743 1.64513i 0.540821 0.263431i
\(40\) 5.14637 + 4.52157i 0.813713 + 0.714923i
\(41\) −2.53573 + 0.538987i −0.396015 + 0.0841756i −0.401615 0.915809i \(-0.631551\pi\)
0.00559964 + 0.999984i \(0.498218\pi\)
\(42\) −3.07848 + 5.78258i −0.475019 + 0.892272i
\(43\) 5.34941 9.26545i 0.815778 1.41297i −0.0929908 0.995667i \(-0.529643\pi\)
0.908768 0.417301i \(-0.137024\pi\)
\(44\) 2.32917 + 1.69224i 0.351135 + 0.255114i
\(45\) −6.19134 + 2.58211i −0.922951 + 0.384918i
\(46\) 1.76783 1.28440i 0.260652 0.189375i
\(47\) −1.37238 13.0573i −0.200183 1.90461i −0.386777 0.922173i \(-0.626412\pi\)
0.186595 0.982437i \(-0.440255\pi\)
\(48\) 2.43102 + 1.64156i 0.350887 + 0.236939i
\(49\) −2.55306 4.42203i −0.364723 0.631718i
\(50\) 5.01763 + 2.08912i 0.709600 + 0.295446i
\(51\) 3.06970 + 1.24208i 0.429845 + 0.173926i
\(52\) 1.73622 + 0.369044i 0.240770 + 0.0511773i
\(53\) −11.2674 + 8.18624i −1.54770 + 1.12447i −0.602427 + 0.798174i \(0.705800\pi\)
−0.945269 + 0.326293i \(0.894200\pi\)
\(54\) −4.89601 + 2.81663i −0.666262 + 0.383295i
\(55\) 7.51058 + 2.33962i 1.01273 + 0.315474i
\(56\) −9.73804 + 4.33566i −1.30130 + 0.579376i
\(57\) 1.92548 + 0.779098i 0.255036 + 0.103194i
\(58\) −0.406593 + 3.86847i −0.0533883 + 0.507956i
\(59\) 5.32898 1.13271i 0.693774 0.147466i 0.152488 0.988305i \(-0.451271\pi\)
0.541285 + 0.840839i \(0.317938\pi\)
\(60\) −3.05669 0.838041i −0.394617 0.108191i
\(61\) −0.516362 0.109756i −0.0661133 0.0140528i 0.174736 0.984615i \(-0.444093\pi\)
−0.240850 + 0.970562i \(0.577426\pi\)
\(62\) −2.13183 + 6.56111i −0.270743 + 0.833262i
\(63\) 0.375033 10.4314i 0.0472497 1.31423i
\(64\) 2.48651 + 7.65270i 0.310814 + 0.956588i
\(65\) 4.81690 0.565658i 0.597462 0.0701612i
\(66\) 6.52251 + 1.15356i 0.802865 + 0.141993i
\(67\) 1.12533 10.7068i 0.137482 1.30805i −0.680476 0.732771i \(-0.738227\pi\)
0.817957 0.575279i \(-0.195106\pi\)
\(68\) 0.782301 + 1.35499i 0.0948680 + 0.164316i
\(69\) −1.63618 + 3.07338i −0.196972 + 0.369991i
\(70\) −6.21561 + 5.73513i −0.742907 + 0.685479i
\(71\) 6.38098 4.63605i 0.757283 0.550198i −0.140793 0.990039i \(-0.544965\pi\)
0.898076 + 0.439841i \(0.144965\pi\)
\(72\) −9.10018 1.28851i −1.07247 0.151852i
\(73\) −2.75054 8.46529i −0.321926 0.990787i −0.972809 0.231609i \(-0.925601\pi\)
0.650883 0.759178i \(-0.274399\pi\)
\(74\) 4.33248 7.50408i 0.503641 0.872332i
\(75\) −8.64532 + 0.508455i −0.998275 + 0.0587114i
\(76\) 0.490700 + 0.849917i 0.0562871 + 0.0974922i
\(77\) −8.19054 + 9.09652i −0.933399 + 1.03664i
\(78\) 3.96296 0.985909i 0.448717 0.111632i
\(79\) −0.706394 6.72089i −0.0794756 0.756160i −0.959591 0.281399i \(-0.909201\pi\)
0.880115 0.474760i \(-0.157465\pi\)
\(80\) 2.26305 + 3.03637i 0.253017 + 0.339477i
\(81\) 5.04810 7.45095i 0.560900 0.827884i
\(82\) −2.81801 −0.311197
\(83\) −3.25148 + 1.44765i −0.356897 + 0.158901i −0.577350 0.816497i \(-0.695913\pi\)
0.220453 + 0.975398i \(0.429246\pi\)
\(84\) 3.17205 3.77635i 0.346099 0.412034i
\(85\) 3.21161 + 2.82170i 0.348348 + 0.306056i
\(86\) 7.78197 8.64276i 0.839152 0.931972i
\(87\) −2.11680 5.82519i −0.226945 0.624526i
\(88\) 7.21189 + 8.00962i 0.768790 + 0.853828i
\(89\) 2.71707 + 8.36227i 0.288008 + 0.886399i 0.985481 + 0.169787i \(0.0543080\pi\)
−0.697472 + 0.716612i \(0.745692\pi\)
\(90\) −7.16670 + 1.34622i −0.755436 + 0.141904i
\(91\) −2.33207 + 7.17736i −0.244467 + 0.752392i
\(92\) −1.50284 + 0.669108i −0.156682 + 0.0697593i
\(93\) −1.52423 10.8861i −0.158055 1.12884i
\(94\) 1.49183 14.1938i 0.153870 1.46398i
\(95\) 2.01449 + 1.76992i 0.206682 + 0.181590i
\(96\) −5.15449 5.34313i −0.526078 0.545331i
\(97\) 1.79542 + 17.0823i 0.182298 + 1.73445i 0.577974 + 0.816055i \(0.303844\pi\)
−0.395676 + 0.918390i \(0.629490\pi\)
\(98\) −1.71520 5.27886i −0.173262 0.533245i
\(99\) −10.1482 + 2.89865i −1.01994 + 0.291325i
\(100\) −3.36791 2.32377i −0.336791 0.232377i
\(101\) 4.67773 8.10206i 0.465451 0.806185i −0.533770 0.845629i \(-0.679225\pi\)
0.999222 + 0.0394441i \(0.0125587\pi\)
\(102\) 2.98323 + 2.01445i 0.295384 + 0.199461i
\(103\) 7.32153 + 3.25976i 0.721412 + 0.321193i 0.734395 0.678722i \(-0.237466\pi\)
−0.0129830 + 0.999916i \(0.504133\pi\)
\(104\) 6.07051 + 2.70277i 0.595263 + 0.265028i
\(105\) 4.90200 12.5524i 0.478386 1.22499i
\(106\) −13.8305 + 6.15775i −1.34334 + 0.598094i
\(107\) 5.04642 0.487855 0.243928 0.969793i \(-0.421564\pi\)
0.243928 + 0.969793i \(0.421564\pi\)
\(108\) 4.04622 1.30779i 0.389347 0.125842i
\(109\) −1.49707 + 4.60752i −0.143394 + 0.441320i −0.996801 0.0799245i \(-0.974532\pi\)
0.853407 + 0.521245i \(0.174532\pi\)
\(110\) 7.45707 + 4.18511i 0.711004 + 0.399035i
\(111\) −0.970190 + 13.7724i −0.0920863 + 1.30722i
\(112\) −5.76382 + 1.22514i −0.544630 + 0.115765i
\(113\) −2.15511 + 0.458084i −0.202736 + 0.0430929i −0.308160 0.951334i \(-0.599713\pi\)
0.105424 + 0.994427i \(0.466380\pi\)
\(114\) 1.87124 + 1.26357i 0.175258 + 0.118344i
\(115\) −3.30352 + 3.04816i −0.308055 + 0.284242i
\(116\) 0.904916 2.78505i 0.0840193 0.258585i
\(117\) −4.98892 + 4.17745i −0.461226 + 0.386205i
\(118\) 5.92219 0.545182
\(119\) −6.07705 + 2.70568i −0.557083 + 0.248029i
\(120\) −10.5408 5.44795i −0.962242 0.497327i
\(121\) 1.25751 + 0.559881i 0.114319 + 0.0508982i
\(122\) −0.524231 0.233403i −0.0474616 0.0211313i
\(123\) 4.03672 1.96627i 0.363979 0.177292i
\(124\) 2.59682 4.49782i 0.233201 0.403916i
\(125\) −10.7522 3.06426i −0.961708 0.274076i
\(126\) 2.75634 11.0067i 0.245554 0.980559i
\(127\) −5.91345 18.1997i −0.524734 1.61497i −0.764841 0.644219i \(-0.777182\pi\)
0.240106 0.970747i \(-0.422818\pi\)
\(128\) 0.0182077 + 0.173234i 0.00160934 + 0.0153119i
\(129\) −5.11698 + 17.8104i −0.450525 + 1.56812i
\(130\) 5.24955 + 0.487200i 0.460416 + 0.0427303i
\(131\) 0.806639 7.67466i 0.0704764 0.670538i −0.901068 0.433679i \(-0.857215\pi\)
0.971544 0.236859i \(-0.0761181\pi\)
\(132\) −4.62252 1.87039i −0.402339 0.162797i
\(133\) −3.81184 + 1.69714i −0.330529 + 0.147161i
\(134\) 3.61637 11.1300i 0.312407 0.961488i
\(135\) 9.32679 6.92900i 0.802722 0.596353i
\(136\) 1.81001 + 5.57065i 0.155207 + 0.477679i
\(137\) 4.19713 + 4.66138i 0.358585 + 0.398249i 0.895263 0.445538i \(-0.146988\pi\)
−0.536678 + 0.843787i \(0.680321\pi\)
\(138\) −2.43432 + 2.89807i −0.207223 + 0.246700i
\(139\) −13.6446 + 15.1538i −1.15732 + 1.28533i −0.205503 + 0.978656i \(0.565883\pi\)
−0.951814 + 0.306675i \(0.900783\pi\)
\(140\) 5.47476 3.25038i 0.462702 0.274707i
\(141\) 7.76672 + 21.3731i 0.654076 + 1.79994i
\(142\) 7.83255 3.48727i 0.657293 0.292646i
\(143\) 7.63054 0.638098
\(144\) −4.77252 1.74263i −0.397710 0.145219i
\(145\) −0.0974297 8.00083i −0.00809110 0.664433i
\(146\) −1.01138 9.62261i −0.0837022 0.796373i
\(147\) 6.14032 + 6.36504i 0.506445 + 0.524980i
\(148\) −4.36494 + 4.84776i −0.358796 + 0.398483i
\(149\) −3.52387 6.10353i −0.288687 0.500021i 0.684810 0.728722i \(-0.259885\pi\)
−0.973497 + 0.228701i \(0.926552\pi\)
\(150\) −9.30730 1.41327i −0.759938 0.115393i
\(151\) 0.0155849 0.0269939i 0.00126828 0.00219673i −0.865391 0.501098i \(-0.832930\pi\)
0.866659 + 0.498901i \(0.166263\pi\)
\(152\) 1.13533 + 3.49420i 0.0920878 + 0.283417i
\(153\) −5.67899 0.804098i −0.459119 0.0650074i
\(154\) −10.7647 + 7.82102i −0.867445 + 0.630236i
\(155\) 2.78123 13.9158i 0.223394 1.11774i
\(156\) −3.07258 + 0.105712i −0.246003 + 0.00846376i
\(157\) −0.694083 1.20219i −0.0553938 0.0959450i 0.836999 0.547205i \(-0.184308\pi\)
−0.892393 + 0.451260i \(0.850975\pi\)
\(158\) 0.767874 7.30584i 0.0610888 0.581221i
\(159\) 15.5153 18.4711i 1.23044 1.46485i
\(160\) −4.00470 8.70778i −0.316600 0.688410i
\(161\) −2.16135 6.65194i −0.170338 0.524246i
\(162\) 7.05151 6.78154i 0.554019 0.532808i
\(163\) 0.385069 1.18512i 0.0301609 0.0928258i −0.934843 0.355062i \(-0.884460\pi\)
0.965004 + 0.262236i \(0.0844598\pi\)
\(164\) 2.07514 + 0.441084i 0.162041 + 0.0344429i
\(165\) −13.6022 0.791882i −1.05893 0.0616479i
\(166\) −3.78441 + 0.804402i −0.293727 + 0.0624337i
\(167\) −0.0232635 + 0.221338i −0.00180018 + 0.0171276i −0.995385 0.0959608i \(-0.969408\pi\)
0.993585 + 0.113088i \(0.0360743\pi\)
\(168\) 14.5549 11.3595i 1.12293 0.876401i
\(169\) −7.57833 + 3.37409i −0.582948 + 0.259545i
\(170\) 2.77711 + 3.72610i 0.212995 + 0.285779i
\(171\) −3.56216 0.504372i −0.272405 0.0385703i
\(172\) −7.08332 + 5.14634i −0.540098 + 0.392404i
\(173\) −18.6996 3.97473i −1.42171 0.302193i −0.568036 0.823004i \(-0.692296\pi\)
−0.853672 + 0.520811i \(0.825630\pi\)
\(174\) −0.934214 6.67222i −0.0708226 0.505819i
\(175\) 11.3225 13.2081i 0.855903 0.998436i
\(176\) 2.97902 + 5.15981i 0.224552 + 0.388935i
\(177\) −8.48339 + 4.13222i −0.637650 + 0.310596i
\(178\) 0.999068 + 9.50550i 0.0748833 + 0.712467i
\(179\) 15.4208 11.2038i 1.15260 0.837415i 0.163778 0.986497i \(-0.447632\pi\)
0.988825 + 0.149082i \(0.0476320\pi\)
\(180\) 5.48816 + 0.130423i 0.409064 + 0.00972116i
\(181\) 9.13951 + 6.64024i 0.679335 + 0.493565i 0.873137 0.487475i \(-0.162082\pi\)
−0.193802 + 0.981041i \(0.562082\pi\)
\(182\) −4.10177 + 7.10448i −0.304044 + 0.526619i
\(183\) 0.913805 0.0314395i 0.0675504 0.00232407i
\(184\) −6.02397 + 1.28043i −0.444093 + 0.0943949i
\(185\) −7.05093 + 16.3703i −0.518395 + 1.20356i
\(186\) 0.839660 11.9195i 0.0615669 0.873977i
\(187\) 4.50060 + 4.99843i 0.329117 + 0.365521i
\(188\) −3.32022 + 10.2186i −0.242152 + 0.745266i
\(189\) 3.73159 + 17.6901i 0.271433 + 1.28677i
\(190\) 1.74195 + 2.33720i 0.126374 + 0.169559i
\(191\) −1.50713 1.67384i −0.109052 0.121114i 0.686147 0.727463i \(-0.259301\pi\)
−0.795199 + 0.606348i \(0.792634\pi\)
\(192\) −7.37939 11.8230i −0.532562 0.853255i
\(193\) 7.89562 + 13.6756i 0.568339 + 0.984393i 0.996730 + 0.0807992i \(0.0257472\pi\)
−0.428391 + 0.903593i \(0.640919\pi\)
\(194\) −1.95168 + 18.5690i −0.140123 + 1.33318i
\(195\) −7.85979 + 2.96498i −0.562851 + 0.212326i
\(196\) 0.436786 + 4.15574i 0.0311990 + 0.296839i
\(197\) 17.3982 12.6405i 1.23957 0.900601i 0.242001 0.970276i \(-0.422196\pi\)
0.997570 + 0.0696750i \(0.0221962\pi\)
\(198\) −11.4455 + 0.788500i −0.813397 + 0.0560363i
\(199\) −17.1687 −1.21706 −0.608530 0.793531i \(-0.708240\pi\)
−0.608530 + 0.793531i \(0.708240\pi\)
\(200\) −10.5241 11.1307i −0.744165 0.787060i
\(201\) 2.58564 + 18.4668i 0.182377 + 1.30255i
\(202\) 6.80485 7.55755i 0.478788 0.531748i
\(203\) 11.3740 + 5.06405i 0.798302 + 0.355427i
\(204\) −1.88150 1.95036i −0.131731 0.136552i
\(205\) 5.75719 0.676078i 0.402099 0.0472193i
\(206\) 7.04810 + 5.12075i 0.491065 + 0.356779i
\(207\) 1.46496 5.84996i 0.101822 0.406600i
\(208\) 2.97179 + 2.15913i 0.206056 + 0.149709i
\(209\) 2.82301 + 3.13527i 0.195272 + 0.216871i
\(210\) 8.04912 12.2388i 0.555442 0.844557i
\(211\) −9.14241 + 10.1537i −0.629389 + 0.699008i −0.970523 0.241007i \(-0.922522\pi\)
0.341134 + 0.940015i \(0.389189\pi\)
\(212\) 11.1484 2.36967i 0.765677 0.162750i
\(213\) −8.78667 + 10.4606i −0.602053 + 0.716749i
\(214\) 5.36575 + 1.14053i 0.366795 + 0.0779647i
\(215\) −13.8250 + 19.5241i −0.942860 + 1.33154i
\(216\) 15.8345 1.63954i 1.07740 0.111557i
\(217\) 17.8644 + 12.9792i 1.21271 + 0.881088i
\(218\) −2.63314 + 4.56073i −0.178339 + 0.308892i
\(219\) 8.16296 + 13.0785i 0.551602 + 0.883760i
\(220\) −4.83621 4.24906i −0.326057 0.286472i
\(221\) 3.78832 + 1.68667i 0.254830 + 0.113458i
\(222\) −4.14424 + 14.4246i −0.278143 + 0.968119i
\(223\) −21.4185 4.55265i −1.43429 0.304868i −0.575756 0.817622i \(-0.695292\pi\)
−0.858536 + 0.512754i \(0.828625\pi\)
\(224\) 14.9138 0.996469
\(225\) 14.3186 4.46970i 0.954572 0.297980i
\(226\) −2.39502 −0.159314
\(227\) 25.3190 + 5.38172i 1.68048 + 0.357197i 0.946682 0.322169i \(-0.104412\pi\)
0.733799 + 0.679366i \(0.237745\pi\)
\(228\) −1.18017 1.22337i −0.0781589 0.0810194i
\(229\) 20.9924 + 9.34642i 1.38722 + 0.617629i 0.958313 0.285721i \(-0.0922331\pi\)
0.428904 + 0.903350i \(0.358900\pi\)
\(230\) −4.20147 + 2.49442i −0.277037 + 0.164477i
\(231\) 9.96304 18.7145i 0.655520 1.23132i
\(232\) 5.48140 9.49406i 0.359872 0.623316i
\(233\) −7.19284 5.22590i −0.471219 0.342360i 0.326697 0.945129i \(-0.394064\pi\)
−0.797916 + 0.602769i \(0.794064\pi\)
\(234\) −6.24875 + 3.31426i −0.408493 + 0.216660i
\(235\) 0.357478 + 29.3558i 0.0233193 + 1.91496i
\(236\) −4.36101 0.926962i −0.283878 0.0603401i
\(237\) 3.99770 + 11.0012i 0.259678 + 0.714605i
\(238\) −7.07311 + 1.50344i −0.458481 + 0.0974532i
\(239\) −3.46656 + 3.85001i −0.224233 + 0.249036i −0.844755 0.535153i \(-0.820254\pi\)
0.620522 + 0.784189i \(0.286921\pi\)
\(240\) −5.07345 4.15728i −0.327490 0.268351i
\(241\) −4.38633 4.87152i −0.282549 0.313802i 0.585118 0.810948i \(-0.301048\pi\)
−0.867667 + 0.497146i \(0.834381\pi\)
\(242\) 1.21055 + 0.879516i 0.0778171 + 0.0565374i
\(243\) −5.36928 + 14.6346i −0.344439 + 0.938809i
\(244\) 0.349503 + 0.253929i 0.0223746 + 0.0162561i
\(245\) 4.77063 + 10.3732i 0.304784 + 0.662719i
\(246\) 4.73656 1.17836i 0.301992 0.0751298i
\(247\) 2.37623 + 1.05797i 0.151196 + 0.0673168i
\(248\) 13.0100 14.4491i 0.826137 0.917518i
\(249\) 4.85980 3.79287i 0.307978 0.240363i
\(250\) −10.7401 5.68824i −0.679262 0.359756i
\(251\) −7.14839 −0.451202 −0.225601 0.974220i \(-0.572435\pi\)
−0.225601 + 0.974220i \(0.572435\pi\)
\(252\) −3.75254 + 7.67377i −0.236388 + 0.483402i
\(253\) −5.72132 + 4.15678i −0.359696 + 0.261335i
\(254\) −2.17438 20.6879i −0.136433 1.29807i
\(255\) −6.57804 3.39981i −0.411933 0.212904i
\(256\) 1.66239 15.8166i 0.103899 0.988537i
\(257\) 2.06283 + 3.57292i 0.128676 + 0.222873i 0.923164 0.384407i \(-0.125594\pi\)
−0.794488 + 0.607280i \(0.792261\pi\)
\(258\) −9.46606 + 17.7810i −0.589331 + 1.10699i
\(259\) −18.5583 20.6110i −1.15315 1.28071i
\(260\) −3.78943 1.18044i −0.235010 0.0732080i
\(261\) 5.99379 + 8.90593i 0.371006 + 0.551263i
\(262\) 2.59221 7.97800i 0.160147 0.492883i
\(263\) 11.8078 + 13.1139i 0.728102 + 0.808639i 0.987581 0.157109i \(-0.0502175\pi\)
−0.259479 + 0.965749i \(0.583551\pi\)
\(264\) −15.4711 10.4470i −0.952183 0.642969i
\(265\) 26.7784 15.8984i 1.64499 0.976631i
\(266\) −4.43662 + 0.943033i −0.272027 + 0.0578210i
\(267\) −8.06362 12.9193i −0.493485 0.790648i
\(268\) −4.40515 + 7.62994i −0.269087 + 0.466073i
\(269\) −21.6298 15.7150i −1.31879 0.958158i −0.999946 0.0103508i \(-0.996705\pi\)
−0.318845 0.947807i \(-0.603295\pi\)
\(270\) 11.4830 5.25954i 0.698832 0.320085i
\(271\) 17.6749 12.8416i 1.07367 0.780069i 0.0971044 0.995274i \(-0.469042\pi\)
0.976569 + 0.215205i \(0.0690419\pi\)
\(272\) 0.338454 + 3.22017i 0.0205218 + 0.195251i
\(273\) 0.918525 13.0390i 0.0555917 0.789156i
\(274\) 3.40921 + 5.90493i 0.205958 + 0.356730i
\(275\) −16.2388 6.76112i −0.979239 0.407711i
\(276\) 2.24621 1.75307i 0.135206 0.105522i
\(277\) 13.9125 + 2.95719i 0.835919 + 0.177680i 0.605935 0.795514i \(-0.292799\pi\)
0.229984 + 0.973194i \(0.426133\pi\)
\(278\) −17.9329 + 13.0290i −1.07554 + 0.781427i
\(279\) 7.11403 + 17.6602i 0.425906 + 1.05729i
\(280\) 22.5777 7.64110i 1.34927 0.456643i
\(281\) −6.56257 + 2.92184i −0.391490 + 0.174303i −0.593035 0.805177i \(-0.702070\pi\)
0.201545 + 0.979479i \(0.435404\pi\)
\(282\) 3.42772 + 24.4810i 0.204117 + 1.45782i
\(283\) −1.41160 + 13.4305i −0.0839108 + 0.798357i 0.868940 + 0.494918i \(0.164802\pi\)
−0.952851 + 0.303440i \(0.901865\pi\)
\(284\) −6.31361 + 1.34200i −0.374644 + 0.0796330i
\(285\) −4.12609 2.13254i −0.244408 0.126321i
\(286\) 8.11340 + 1.72456i 0.479755 + 0.101975i
\(287\) −2.78730 + 8.57843i −0.164529 + 0.506369i
\(288\) 10.8980 + 6.82546i 0.642172 + 0.402194i
\(289\) −4.12374 12.6916i −0.242573 0.746564i
\(290\) 1.70465 8.52914i 0.100100 0.500848i
\(291\) −10.1608 27.9615i −0.595639 1.63913i
\(292\) −0.761401 + 7.24425i −0.0445576 + 0.423938i
\(293\) −0.157560 0.272902i −0.00920475 0.0159431i 0.861386 0.507950i \(-0.169597\pi\)
−0.870591 + 0.492007i \(0.836263\pi\)
\(294\) 5.09033 + 8.15557i 0.296874 + 0.475643i
\(295\) −12.0990 + 1.42081i −0.704432 + 0.0827229i
\(296\) −19.7570 + 14.3543i −1.14835 + 0.834327i
\(297\) 15.8452 9.11563i 0.919433 0.528942i
\(298\) −2.36742 7.28617i −0.137141 0.422077i
\(299\) −2.18005 + 3.77595i −0.126075 + 0.218369i
\(300\) 6.63255 + 2.49752i 0.382930 + 0.144195i
\(301\) −18.6127 32.2381i −1.07282 1.85817i
\(302\) 0.0226720 0.0251798i 0.00130462 0.00144893i
\(303\) −4.47448 + 15.5741i −0.257052 + 0.894709i
\(304\) 0.212296 + 2.01986i 0.0121760 + 0.115847i
\(305\) 1.12700 + 0.351071i 0.0645318 + 0.0201023i
\(306\) −5.85662 2.13847i −0.334801 0.122248i
\(307\) −8.35636 −0.476923 −0.238461 0.971152i \(-0.576643\pi\)
−0.238461 + 0.971152i \(0.576643\pi\)
\(308\) 9.15114 4.07435i 0.521435 0.232158i
\(309\) −13.6692 2.41752i −0.777616 0.137528i
\(310\) 6.10229 14.1678i 0.346587 0.804676i
\(311\) 13.6693 15.1813i 0.775113 0.860851i −0.218247 0.975894i \(-0.570034\pi\)
0.993361 + 0.115043i \(0.0367005\pi\)
\(312\) −11.3336 2.00444i −0.641639 0.113479i
\(313\) 10.5424 + 11.7085i 0.595890 + 0.661803i 0.963353 0.268235i \(-0.0864404\pi\)
−0.367464 + 0.930038i \(0.619774\pi\)
\(314\) −0.466301 1.43513i −0.0263149 0.0809889i
\(315\) −2.99053 + 23.1480i −0.168497 + 1.30424i
\(316\) −1.70899 + 5.25972i −0.0961380 + 0.295882i
\(317\) 11.6877 5.20368i 0.656444 0.292268i −0.0513561 0.998680i \(-0.516354\pi\)
0.707800 + 0.706413i \(0.249688\pi\)
\(318\) 20.6717 16.1334i 1.15921 0.904714i
\(319\) 1.31588 12.5198i 0.0736751 0.700972i
\(320\) −3.95489 17.5525i −0.221085 0.981217i
\(321\) −8.48210 + 2.11019i −0.473425 + 0.117779i
\(322\) −0.794730 7.56135i −0.0442885 0.421377i
\(323\) 0.708509 + 2.18057i 0.0394225 + 0.121330i
\(324\) −6.25409 + 3.89010i −0.347450 + 0.216116i
\(325\) −10.8417 + 0.264088i −0.601389 + 0.0146489i
\(326\) 0.677282 1.17309i 0.0375112 0.0649712i
\(327\) 0.589649 8.37040i 0.0326076 0.462884i
\(328\) 7.25552 + 3.23037i 0.400619 + 0.178367i
\(329\) −41.7324 18.5805i −2.30078 1.02437i
\(330\) −14.2840 3.91619i −0.786308 0.215579i
\(331\) 22.9601 10.2225i 1.26200 0.561879i 0.336879 0.941548i \(-0.390629\pi\)
0.925122 + 0.379669i \(0.123962\pi\)
\(332\) 2.91269 0.159855
\(333\) −4.12829 23.5546i −0.226229 1.29078i
\(334\) −0.0747594 + 0.230086i −0.00409065 + 0.0125897i
\(335\) −4.71799 + 23.6063i −0.257771 + 1.28975i
\(336\) 9.17564 4.46941i 0.500572 0.243826i
\(337\) −18.4734 + 3.92664i −1.00631 + 0.213898i −0.681450 0.731865i \(-0.738650\pi\)
−0.324859 + 0.945762i \(0.605317\pi\)
\(338\) −8.82044 + 1.87484i −0.479769 + 0.101978i
\(339\) 3.43080 1.67113i 0.186336 0.0907632i
\(340\) −1.46180 3.17853i −0.0792774 0.172380i
\(341\) 6.89937 21.2341i 0.373622 1.14989i
\(342\) −3.67358 1.34136i −0.198644 0.0725325i
\(343\) 6.58955 0.355802
\(344\) −29.9437 + 13.3318i −1.61446 + 0.718802i
\(345\) 4.27802 6.50478i 0.230321 0.350206i
\(346\) −18.9846 8.45250i −1.02062 0.454409i
\(347\) −25.7819 11.4789i −1.38405 0.616217i −0.426498 0.904488i \(-0.640253\pi\)
−0.957549 + 0.288271i \(0.906920\pi\)
\(348\) −0.356417 + 5.05955i −0.0191060 + 0.271220i
\(349\) 10.1548 17.5887i 0.543575 0.941500i −0.455120 0.890430i \(-0.650404\pi\)
0.998695 0.0510695i \(-0.0162630\pi\)
\(350\) 15.0241 11.4849i 0.803074 0.613893i
\(351\) 6.63864 9.10767i 0.354344 0.486132i
\(352\) −4.65980 14.3414i −0.248368 0.764398i
\(353\) −0.942606 8.96830i −0.0501699 0.477334i −0.990544 0.137193i \(-0.956192\pi\)
0.940374 0.340141i \(-0.110475\pi\)
\(354\) −9.95412 + 2.47639i −0.529055 + 0.131619i
\(355\) −15.1652 + 9.00363i −0.804887 + 0.477863i
\(356\) 0.752135 7.15609i 0.0398631 0.379272i
\(357\) 9.08302 7.08890i 0.480725 0.375185i
\(358\) 18.9287 8.42761i 1.00041 0.445413i
\(359\) 2.84427 8.75376i 0.150115 0.462006i −0.847518 0.530766i \(-0.821904\pi\)
0.997633 + 0.0687601i \(0.0219043\pi\)
\(360\) 19.9953 + 4.74930i 1.05384 + 0.250310i
\(361\) −5.42691 16.7023i −0.285627 0.879069i
\(362\) 8.21711 + 9.12603i 0.431882 + 0.479653i
\(363\) −2.34777 0.415221i −0.123226 0.0217935i
\(364\) 4.13250 4.58961i 0.216602 0.240561i
\(365\) 4.37483 + 19.4163i 0.228989 + 1.01630i
\(366\) 0.978735 + 0.173097i 0.0511593 + 0.00904794i
\(367\) −17.3961 + 7.74523i −0.908067 + 0.404298i −0.806979 0.590580i \(-0.798899\pi\)
−0.101088 + 0.994877i \(0.532232\pi\)
\(368\) −3.40442 −0.177468
\(369\) −5.96279 + 4.99292i −0.310410 + 0.259921i
\(370\) −11.1969 + 15.8126i −0.582099 + 0.822057i
\(371\) 5.06527 + 48.1929i 0.262976 + 2.50205i
\(372\) −2.48399 + 8.64589i −0.128789 + 0.448268i
\(373\) 2.86875 3.18607i 0.148538 0.164968i −0.664284 0.747480i \(-0.731263\pi\)
0.812822 + 0.582512i \(0.197930\pi\)
\(374\) 3.65572 + 6.33189i 0.189033 + 0.327414i
\(375\) 19.3539 + 0.654366i 0.999429 + 0.0337913i
\(376\) −20.1117 + 34.8346i −1.03718 + 1.79646i
\(377\) −2.39840 7.38151i −0.123524 0.380167i
\(378\) −0.0303698 + 19.6529i −0.00156206 + 1.01084i
\(379\) −7.81297 + 5.67645i −0.401325 + 0.291580i −0.770081 0.637947i \(-0.779784\pi\)
0.368755 + 0.929526i \(0.379784\pi\)
\(380\) −0.916919 1.99374i −0.0470370 0.102277i
\(381\) 17.5498 + 28.1177i 0.899101 + 1.44051i
\(382\) −1.22420 2.12038i −0.0626355 0.108488i
\(383\) −0.976200 + 9.28793i −0.0498815 + 0.474591i 0.940857 + 0.338805i \(0.110023\pi\)
−0.990738 + 0.135786i \(0.956644\pi\)
\(384\) −0.103043 0.283561i −0.00525837 0.0144704i
\(385\) 20.1159 18.5609i 1.02520 0.945952i
\(386\) 5.30447 + 16.3255i 0.269990 + 0.830944i
\(387\) 1.15320 32.0757i 0.0586202 1.63050i
\(388\) 4.34368 13.3685i 0.220517 0.678682i
\(389\) 25.4190 + 5.40297i 1.28879 + 0.273942i 0.800814 0.598913i \(-0.204400\pi\)
0.487980 + 0.872855i \(0.337734\pi\)
\(390\) −9.02725 + 1.37623i −0.457113 + 0.0696882i
\(391\) −3.75928 + 0.799059i −0.190115 + 0.0404102i
\(392\) −1.63518 + 15.5577i −0.0825888 + 0.785780i
\(393\) 1.85339 + 13.2370i 0.0934910 + 0.667718i
\(394\) 21.3560 9.50830i 1.07590 0.479021i
\(395\) 0.184002 + 15.1100i 0.00925812 + 0.760268i
\(396\) 8.55172 + 1.21085i 0.429740 + 0.0608476i
\(397\) 10.9374 7.94651i 0.548934 0.398824i −0.278458 0.960448i \(-0.589823\pi\)
0.827392 + 0.561624i \(0.189823\pi\)
\(398\) −18.2552 3.88025i −0.915048 0.194500i
\(399\) 5.69734 4.44653i 0.285224 0.222605i
\(400\) −4.41125 7.22811i −0.220563 0.361406i
\(401\) 3.70665 + 6.42010i 0.185101 + 0.320604i 0.943611 0.331057i \(-0.107405\pi\)
−0.758509 + 0.651662i \(0.774072\pi\)
\(402\) −1.42437 + 20.2198i −0.0710411 + 1.00847i
\(403\) −1.43886 13.6898i −0.0716748 0.681940i
\(404\) −6.19393 + 4.50015i −0.308159 + 0.223891i
\(405\) −12.7792 + 15.5464i −0.635005 + 0.772508i
\(406\) 10.9493 + 7.95511i 0.543403 + 0.394806i
\(407\) −14.0215 + 24.2859i −0.695018 + 1.20381i
\(408\) −5.37170 8.60638i −0.265939 0.426079i
\(409\) −10.4862 + 2.22891i −0.518509 + 0.110212i −0.459730 0.888059i \(-0.652054\pi\)
−0.0587786 + 0.998271i \(0.518721\pi\)
\(410\) 6.27429 + 0.582305i 0.309865 + 0.0287580i
\(411\) −9.00379 6.07988i −0.444124 0.299898i
\(412\) −4.38860 4.87404i −0.216211 0.240126i
\(413\) 5.85766 18.0280i 0.288237 0.887101i
\(414\) 2.87980 5.88905i 0.141534 0.289431i
\(415\) 7.53857 2.55132i 0.370054 0.125240i
\(416\) −6.22089 6.90900i −0.305004 0.338742i
\(417\) 16.5974 31.1764i 0.812777 1.52671i
\(418\) 2.29306 + 3.97169i 0.112157 + 0.194262i
\(419\) 1.24999 11.8928i 0.0610659 0.581003i −0.920615 0.390471i \(-0.872312\pi\)
0.981681 0.190532i \(-0.0610213\pi\)
\(420\) −7.84291 + 7.75259i −0.382695 + 0.378288i
\(421\) 0.924308 + 8.79420i 0.0450480 + 0.428603i 0.993682 + 0.112229i \(0.0357989\pi\)
−0.948634 + 0.316374i \(0.897534\pi\)
\(422\) −12.0157 + 8.72994i −0.584917 + 0.424967i
\(423\) −21.9917 32.6767i −1.06927 1.58879i
\(424\) 42.6683 2.07215
\(425\) −6.56758 6.94615i −0.318574 0.336938i
\(426\) −11.7069 + 9.13669i −0.567199 + 0.442674i
\(427\) −1.22903 + 1.36498i −0.0594770 + 0.0660559i
\(428\) −3.77274 1.67973i −0.182362 0.0811929i
\(429\) −12.8255 + 3.19075i −0.619223 + 0.154051i
\(430\) −19.1125 + 17.6351i −0.921685 + 0.850438i
\(431\) −2.85794 2.07642i −0.137662 0.100017i 0.516823 0.856092i \(-0.327115\pi\)
−0.654485 + 0.756075i \(0.727115\pi\)
\(432\) 8.75042 + 0.933380i 0.421005 + 0.0449073i
\(433\) −2.00164 1.45427i −0.0961924 0.0698879i 0.538649 0.842530i \(-0.318935\pi\)
−0.634842 + 0.772642i \(0.718935\pi\)
\(434\) 16.0614 + 17.8380i 0.770973 + 0.856253i
\(435\) 3.50935 + 13.4072i 0.168261 + 0.642826i
\(436\) 2.65286 2.94630i 0.127049 0.141102i
\(437\) −2.35801 + 0.501211i −0.112799 + 0.0239762i
\(438\) 5.72368 + 15.7509i 0.273488 + 0.752609i
\(439\) 8.13001 + 1.72809i 0.388024 + 0.0824771i 0.397793 0.917475i \(-0.369776\pi\)
−0.00976881 + 0.999952i \(0.503110\pi\)
\(440\) −14.4022 19.3237i −0.686598 0.921219i
\(441\) −12.9823 8.13087i −0.618206 0.387184i
\(442\) 3.64685 + 2.64959i 0.173463 + 0.126028i
\(443\) 11.6123 20.1132i 0.551719 0.955606i −0.446432 0.894818i \(-0.647305\pi\)
0.998151 0.0607879i \(-0.0193613\pi\)
\(444\) 5.30955 9.97342i 0.251980 0.473318i
\(445\) −4.32159 19.1800i −0.204863 0.909221i
\(446\) −21.7450 9.68148i −1.02965 0.458431i
\(447\) 8.47521 + 8.78539i 0.400864 + 0.415535i
\(448\) 27.3852 + 5.82090i 1.29383 + 0.275012i
\(449\) 18.8212 0.888227 0.444114 0.895970i \(-0.353519\pi\)
0.444114 + 0.895970i \(0.353519\pi\)
\(450\) 16.2348 1.51645i 0.765317 0.0714859i
\(451\) 9.12008 0.429448
\(452\) 1.76366 + 0.374877i 0.0829554 + 0.0176327i
\(453\) −0.0149078 + 0.0518888i −0.000700429 + 0.00243795i
\(454\) 25.7049 + 11.4445i 1.20639 + 0.537119i
\(455\) 6.67546 15.4985i 0.312950 0.726581i
\(456\) −3.36941 5.39837i −0.157787 0.252802i
\(457\) −1.31514 + 2.27788i −0.0615194 + 0.106555i −0.895145 0.445776i \(-0.852928\pi\)
0.833625 + 0.552330i \(0.186261\pi\)
\(458\) 20.2084 + 14.6823i 0.944278 + 0.686058i
\(459\) 9.88159 1.02316i 0.461233 0.0477570i
\(460\) 3.48434 1.17923i 0.162458 0.0549817i
\(461\) 19.0870 + 4.05707i 0.888970 + 0.188956i 0.629691 0.776846i \(-0.283182\pi\)
0.259279 + 0.965802i \(0.416515\pi\)
\(462\) 14.8231 17.6470i 0.689633 0.821014i
\(463\) −1.50059 + 0.318960i −0.0697382 + 0.0148233i −0.242649 0.970114i \(-0.578016\pi\)
0.172910 + 0.984938i \(0.444683\pi\)
\(464\) 4.05506 4.50360i 0.188251 0.209074i
\(465\) 1.14421 + 24.5529i 0.0530617 + 1.13861i
\(466\) −6.46691 7.18223i −0.299574 0.332710i
\(467\) −5.25538 3.81826i −0.243190 0.176688i 0.459513 0.888171i \(-0.348024\pi\)
−0.702703 + 0.711483i \(0.748024\pi\)
\(468\) 5.12024 1.46250i 0.236683 0.0676041i
\(469\) −30.3045 22.0175i −1.39933 1.01667i
\(470\) −6.25451 + 31.2942i −0.288499 + 1.44349i
\(471\) 1.66933 + 1.73042i 0.0769185 + 0.0797336i
\(472\) −15.2479 6.78878i −0.701839 0.312479i
\(473\) −25.1852 + 27.9710i −1.15802 + 1.28611i
\(474\) 1.76432 + 12.6009i 0.0810378 + 0.578777i
\(475\) −4.11953 4.35698i −0.189017 0.199912i
\(476\) 5.44385 0.249519
\(477\) −18.3546 + 37.5343i −0.840400 + 1.71858i
\(478\) −4.55605 + 3.31017i −0.208389 + 0.151403i
\(479\) −0.572460 5.44660i −0.0261564 0.248861i −0.999785 0.0207236i \(-0.993403\pi\)
0.973629 0.228138i \(-0.0732637\pi\)
\(480\) 10.3724 + 12.9616i 0.473432 + 0.591613i
\(481\) −1.80724 + 17.1947i −0.0824029 + 0.784011i
\(482\) −3.56290 6.17113i −0.162286 0.281087i
\(483\) 6.41437 + 10.2769i 0.291864 + 0.467616i
\(484\) −0.753766 0.837142i −0.0342621 0.0380519i
\(485\) −0.467672 38.4047i −0.0212359 1.74387i
\(486\) −9.01656 + 14.3471i −0.408999 + 0.650800i
\(487\) −10.8960 + 33.5344i −0.493744 + 1.51959i 0.325162 + 0.945658i \(0.394581\pi\)
−0.818905 + 0.573929i \(0.805419\pi\)
\(488\) 1.08218 + 1.20188i 0.0489880 + 0.0544067i
\(489\) −0.151666 + 2.15299i −0.00685858 + 0.0973616i
\(490\) 2.72810 + 12.1078i 0.123243 + 0.546975i
\(491\) −2.79851 + 0.594842i −0.126295 + 0.0268448i −0.270625 0.962685i \(-0.587231\pi\)
0.144330 + 0.989530i \(0.453897\pi\)
\(492\) −3.67237 + 0.126348i −0.165563 + 0.00569621i
\(493\) 3.42068 5.92480i 0.154060 0.266839i
\(494\) 2.28749 + 1.66196i 0.102919 + 0.0747751i
\(495\) 23.1940 4.35684i 1.04249 0.195825i
\(496\) 8.69540 6.31758i 0.390435 0.283668i
\(497\) −2.86858 27.2927i −0.128673 1.22425i
\(498\) 6.02454 2.93453i 0.269966 0.131499i
\(499\) 18.3438 + 31.7725i 0.821183 + 1.42233i 0.904802 + 0.425833i \(0.140019\pi\)
−0.0836188 + 0.996498i \(0.526648\pi\)
\(500\) 7.01848 + 5.86981i 0.313876 + 0.262506i
\(501\) −0.0534517 0.381756i −0.00238805 0.0170556i
\(502\) −7.60073 1.61558i −0.339237 0.0721071i
\(503\) 14.2611 10.3613i 0.635873 0.461989i −0.222557 0.974920i \(-0.571440\pi\)
0.858430 + 0.512931i \(0.171440\pi\)
\(504\) −19.7141 + 25.1794i −0.878136 + 1.12158i
\(505\) −12.0891 + 17.0726i −0.537960 + 0.759723i
\(506\) −7.02282 + 3.12676i −0.312203 + 0.139002i
\(507\) 11.3269 8.84014i 0.503045 0.392604i
\(508\) −1.63696 + 15.5746i −0.0726282 + 0.691011i
\(509\) 14.7522 3.13568i 0.653881 0.138987i 0.130986 0.991384i \(-0.458186\pi\)
0.522894 + 0.852398i \(0.324852\pi\)
\(510\) −6.22591 5.10163i −0.275688 0.225904i
\(511\) −30.2930 6.43898i −1.34008 0.284844i
\(512\) 5.44990 16.7731i 0.240854 0.741272i
\(513\) 6.19825 0.641779i 0.273659 0.0283353i
\(514\) 1.38585 + 4.26522i 0.0611274 + 0.188131i
\(515\) −15.6278 8.77074i −0.688643 0.386485i
\(516\) 9.75380 11.6120i 0.429387 0.511189i
\(517\) −4.82808 + 45.9361i −0.212339 + 2.02027i
\(518\) −15.0744 26.1096i −0.662330 1.14719i
\(519\) 33.0927 1.13856i 1.45261 0.0499771i
\(520\) −12.9575 7.27210i −0.568224 0.318903i
\(521\) 29.3467 21.3216i 1.28570 0.934118i 0.285994 0.958231i \(-0.407676\pi\)
0.999709 + 0.0241133i \(0.00767623\pi\)
\(522\) 4.36027 + 10.8241i 0.190844 + 0.473759i
\(523\) −2.83321 8.71972i −0.123888 0.381287i 0.869809 0.493388i \(-0.164242\pi\)
−0.993697 + 0.112102i \(0.964242\pi\)
\(524\) −3.15761 + 5.46914i −0.137941 + 0.238920i
\(525\) −13.5081 + 26.9349i −0.589541 + 1.17554i
\(526\) 9.59118 + 16.6124i 0.418195 + 0.724336i
\(527\) 8.11894 9.01700i 0.353667 0.392787i
\(528\) −7.16479 7.42701i −0.311807 0.323219i
\(529\) 1.98176 + 18.8552i 0.0861637 + 0.819793i
\(530\) 32.0661 10.8523i 1.39286 0.471395i
\(531\) 12.5311 10.4929i 0.543804 0.455352i
\(532\) 3.41467 0.148045
\(533\) 5.13672 2.28701i 0.222496 0.0990616i
\(534\) −5.65403 15.5592i −0.244674 0.673314i
\(535\) −11.2358 1.04278i −0.485768 0.0450832i
\(536\) −22.0697 + 24.5109i −0.953268 + 1.05871i
\(537\) −21.2345 + 25.2799i −0.916338 + 1.09091i
\(538\) −19.4468 21.5979i −0.838411 0.931150i
\(539\) 5.55101 + 17.0843i 0.239099 + 0.735871i
\(540\) −9.27914 + 2.07569i −0.399311 + 0.0893234i
\(541\) −4.66886 + 14.3693i −0.200730 + 0.617784i 0.799132 + 0.601156i \(0.205293\pi\)
−0.999862 + 0.0166277i \(0.994707\pi\)
\(542\) 21.6956 9.65952i 0.931907 0.414912i
\(543\) −18.1385 7.33930i −0.778398 0.314960i
\(544\) 0.856605 8.15005i 0.0367266 0.349431i
\(545\) 4.28532 9.94929i 0.183563 0.426181i
\(546\) 3.92355 13.6565i 0.167913 0.584445i
\(547\) 4.04017 + 38.4396i 0.172745 + 1.64356i 0.646508 + 0.762907i \(0.276229\pi\)
−0.473763 + 0.880652i \(0.657105\pi\)
\(548\) −1.58623 4.88193i −0.0677606 0.208546i
\(549\) −1.52279 + 0.434956i −0.0649912 + 0.0185635i
\(550\) −15.7384 10.8591i −0.671086 0.463032i
\(551\) 2.14563 3.71634i 0.0914069 0.158321i
\(552\) 9.58977 4.67113i 0.408168 0.198817i
\(553\) −21.4805 9.56375i −0.913446 0.406692i
\(554\) 14.1245 + 6.28863i 0.600092 + 0.267178i
\(555\) 5.00602 30.4638i 0.212494 1.29312i
\(556\) 15.2448 6.78744i 0.646525 0.287851i
\(557\) −16.9105 −0.716522 −0.358261 0.933621i \(-0.616630\pi\)
−0.358261 + 0.933621i \(0.616630\pi\)
\(558\) 3.57287 + 20.3855i 0.151252 + 0.862989i
\(559\) −7.17092 + 22.0698i −0.303297 + 0.933453i
\(560\) 13.0863 1.53675i 0.552998 0.0649396i
\(561\) −9.65481 6.51949i −0.407626 0.275253i
\(562\) −7.63820 + 1.62355i −0.322198 + 0.0684853i
\(563\) 22.1504 4.70822i 0.933530 0.198428i 0.284052 0.958809i \(-0.408321\pi\)
0.649477 + 0.760381i \(0.274988\pi\)
\(564\) 1.30773 18.5639i 0.0550652 0.781682i
\(565\) 4.89302 0.574597i 0.205851 0.0241735i
\(566\) −4.53630 + 13.9613i −0.190675 + 0.586837i
\(567\) −13.6693 28.1735i −0.574058 1.18317i
\(568\) −24.1640 −1.01390
\(569\) −16.4211 + 7.31117i −0.688410 + 0.306500i −0.720967 0.692970i \(-0.756302\pi\)
0.0325562 + 0.999470i \(0.489635\pi\)
\(570\) −3.90521 3.20000i −0.163571 0.134033i
\(571\) −13.6141 6.06140i −0.569734 0.253662i 0.101590 0.994826i \(-0.467607\pi\)
−0.671323 + 0.741165i \(0.734274\pi\)
\(572\) −5.70465 2.53987i −0.238523 0.106197i
\(573\) 3.23313 + 2.18320i 0.135066 + 0.0912044i
\(574\) −4.90247 + 8.49132i −0.204625 + 0.354421i
\(575\) 7.98516 6.10409i 0.333004 0.254558i
\(576\) 17.3473 + 16.7866i 0.722803 + 0.699444i
\(577\) −7.48625 23.0403i −0.311657 0.959181i −0.977109 0.212740i \(-0.931761\pi\)
0.665452 0.746441i \(-0.268239\pi\)
\(578\) −1.51631 14.4267i −0.0630700 0.600071i
\(579\) −18.9896 19.6846i −0.789182 0.818065i
\(580\) −2.59029 + 6.01391i −0.107556 + 0.249714i
\(581\) −1.29446 + 12.3160i −0.0537032 + 0.510952i
\(582\) −4.48432 32.0273i −0.185881 1.32757i
\(583\) 44.7605 19.9287i 1.85379 0.825361i
\(584\) −8.42669 + 25.9347i −0.348699 + 1.07319i
\(585\) 11.9710 8.27020i 0.494942 0.341931i
\(586\) −0.105852 0.325780i −0.00437272 0.0134579i
\(587\) −6.78580 7.53640i −0.280080 0.311060i 0.586647 0.809843i \(-0.300447\pi\)
−0.866727 + 0.498782i \(0.833781\pi\)
\(588\) −2.47190 6.80240i −0.101940 0.280526i
\(589\) 5.09262 5.65593i 0.209838 0.233049i
\(590\) −13.1858 1.22374i −0.542849 0.0503807i
\(591\) −23.9575 + 28.5216i −0.985480 + 1.17322i
\(592\) −12.3327 + 5.49087i −0.506871 + 0.225673i
\(593\) 28.7337 1.17995 0.589975 0.807422i \(-0.299138\pi\)
0.589975 + 0.807422i \(0.299138\pi\)
\(594\) 18.9081 6.11133i 0.775809 0.250751i
\(595\) 14.0897 4.76845i 0.577619 0.195487i
\(596\) 0.602877 + 5.73599i 0.0246948 + 0.234955i
\(597\) 28.8575 7.17920i 1.18106 0.293825i
\(598\) −3.17139 + 3.52218i −0.129688 + 0.144033i
\(599\) −0.738992 1.27997i −0.0301944 0.0522982i 0.850533 0.525921i \(-0.176279\pi\)
−0.880728 + 0.473623i \(0.842946\pi\)
\(600\) 22.3434 + 14.3080i 0.912166 + 0.584121i
\(601\) −9.97465 + 17.2766i −0.406874 + 0.704727i −0.994538 0.104378i \(-0.966715\pi\)
0.587663 + 0.809106i \(0.300048\pi\)
\(602\) −12.5044 38.4847i −0.509642 1.56852i
\(603\) −12.0680 29.9581i −0.491446 1.21999i
\(604\) −0.0206365 + 0.0149933i −0.000839688 + 0.000610069i
\(605\) −2.68416 1.50642i −0.109127 0.0612448i
\(606\) −8.27748 + 15.5484i −0.336250 + 0.631609i
\(607\) −11.5351 19.9793i −0.468194 0.810935i 0.531146 0.847281i \(-0.321762\pi\)
−0.999339 + 0.0363452i \(0.988428\pi\)
\(608\) 0.537307 5.11214i 0.0217907 0.207324i
\(609\) −21.2353 3.75563i −0.860496 0.152186i
\(610\) 1.11897 + 0.627997i 0.0453058 + 0.0254268i
\(611\) 8.79993 + 27.0834i 0.356007 + 1.09568i
\(612\) 3.97801 + 2.49144i 0.160802 + 0.100710i
\(613\) −7.36834 + 22.6774i −0.297605 + 0.915932i 0.684730 + 0.728797i \(0.259920\pi\)
−0.982334 + 0.187135i \(0.940080\pi\)
\(614\) −8.88515 1.88860i −0.358575 0.0762175i
\(615\) −9.39407 + 3.54376i −0.378805 + 0.142898i
\(616\) 36.6813 7.79686i 1.47793 0.314144i
\(617\) −0.0931604 + 0.886362i −0.00375050 + 0.0356836i −0.996237 0.0866698i \(-0.972377\pi\)
0.992487 + 0.122353i \(0.0390441\pi\)
\(618\) −13.9878 5.65984i −0.562673 0.227672i
\(619\) −0.275213 + 0.122533i −0.0110617 + 0.00492500i −0.412260 0.911066i \(-0.635260\pi\)
0.401198 + 0.915991i \(0.368594\pi\)
\(620\) −6.71123 + 9.47780i −0.269529 + 0.380638i
\(621\) −0.0161412 + 10.4453i −0.000647725 + 0.419155i
\(622\) 17.9653 13.0526i 0.720344 0.523361i
\(623\) 29.9243 + 6.36061i 1.19889 + 0.254833i
\(624\) −5.89788 2.38643i −0.236104 0.0955338i
\(625\) 23.3066 + 9.04439i 0.932265 + 0.361775i
\(626\) 8.56328 + 14.8320i 0.342258 + 0.592808i
\(627\) −6.05600 4.08936i −0.241853 0.163313i
\(628\) 0.118746 + 1.12979i 0.00473849 + 0.0450837i
\(629\) −12.3294 + 8.95784i −0.491606 + 0.357173i
\(630\) −8.41138 + 23.9370i −0.335118 + 0.953671i
\(631\) −11.5670 8.40394i −0.460476 0.334556i 0.333242 0.942841i \(-0.391857\pi\)
−0.793718 + 0.608286i \(0.791857\pi\)
\(632\) −10.3519 + 17.9301i −0.411778 + 0.713221i
\(633\) 11.1209 20.8894i 0.442016 0.830280i
\(634\) 13.6033 2.89147i 0.540256 0.114835i
\(635\) 9.40557 + 41.7437i 0.373248 + 1.65655i
\(636\) −17.7476 + 8.64476i −0.703738 + 0.342787i
\(637\) 7.41068 + 8.23039i 0.293622 + 0.326100i
\(638\) 4.22870 13.0146i 0.167416 0.515253i
\(639\) 10.3946 21.2566i 0.411205 0.840896i
\(640\) −0.00474273 0.389468i −0.000187473 0.0153951i
\(641\) 0.809085 + 0.898580i 0.0319569 + 0.0354918i 0.758911 0.651194i \(-0.225732\pi\)
−0.726954 + 0.686686i \(0.759065\pi\)
\(642\) −9.49576 + 0.326702i −0.374768 + 0.0128939i
\(643\) −12.3127 21.3262i −0.485566 0.841025i 0.514297 0.857612i \(-0.328053\pi\)
−0.999862 + 0.0165876i \(0.994720\pi\)
\(644\) −0.598301 + 5.69246i −0.0235764 + 0.224314i
\(645\) 15.0733 38.5975i 0.593509 1.51978i
\(646\) 0.260520 + 2.47868i 0.0102500 + 0.0975223i
\(647\) 5.45922 3.96635i 0.214624 0.155933i −0.475279 0.879835i \(-0.657653\pi\)
0.689903 + 0.723901i \(0.257653\pi\)
\(648\) −25.9294 + 9.37706i −1.01860 + 0.368366i
\(649\) −19.1663 −0.752344
\(650\) −11.5874 2.16950i −0.454497 0.0850948i
\(651\) −35.4541 14.3456i −1.38956 0.562250i
\(652\) −0.682356 + 0.757833i −0.0267231 + 0.0296790i
\(653\) −1.59205 0.708826i −0.0623017 0.0277385i 0.375349 0.926883i \(-0.377523\pi\)
−0.437651 + 0.899145i \(0.644189\pi\)
\(654\) 2.51873 8.76681i 0.0984902 0.342809i
\(655\) −3.38185 + 16.9210i −0.132140 + 0.661156i
\(656\) 3.55190 + 2.58061i 0.138678 + 0.100756i
\(657\) −19.1893 18.5691i −0.748645 0.724450i
\(658\) −40.1739 29.1880i −1.56614 1.13787i
\(659\) 21.8980 + 24.3202i 0.853026 + 0.947381i 0.999122 0.0418891i \(-0.0133376\pi\)
−0.146096 + 0.989270i \(0.546671\pi\)
\(660\) 9.90555 + 5.11961i 0.385573 + 0.199280i
\(661\) 29.5406 32.8081i 1.14900 1.27609i 0.193494 0.981102i \(-0.438018\pi\)
0.955501 0.294987i \(-0.0953152\pi\)
\(662\) 26.7233 5.68022i 1.03863 0.220768i
\(663\) −7.07277 1.25088i −0.274684 0.0485800i
\(664\) 10.6658 + 2.26709i 0.413915 + 0.0879803i
\(665\) 8.83776 2.99102i 0.342714 0.115987i
\(666\) 0.933973 25.9781i 0.0361907 1.00663i
\(667\) 5.81942 + 4.22805i 0.225329 + 0.163711i
\(668\) 0.0910656 0.157730i 0.00352343 0.00610276i
\(669\) 37.9044 1.30410i 1.46547 0.0504195i
\(670\) −10.3517 + 24.0337i −0.399922 + 0.928504i
\(671\) 1.69660 + 0.755374i 0.0654965 + 0.0291609i
\(672\) −25.0673 + 6.23628i −0.966994 + 0.240570i
\(673\) −6.18540 1.31475i −0.238430 0.0506798i 0.0871469 0.996195i \(-0.472225\pi\)
−0.325577 + 0.945516i \(0.605558\pi\)
\(674\) −20.5298 −0.790779
\(675\) −22.1979 + 13.5001i −0.854397 + 0.519621i
\(676\) 6.78870 0.261104
\(677\) −49.0316 10.4220i −1.88444 0.400550i −0.886387 0.462946i \(-0.846793\pi\)
−0.998051 + 0.0623959i \(0.980126\pi\)
\(678\) 4.02559 1.00149i 0.154602 0.0384620i
\(679\) 54.5965 + 24.3079i 2.09522 + 0.932852i
\(680\) −2.87889 12.7771i −0.110401 0.489978i
\(681\) −44.8070 + 1.54159i −1.71701 + 0.0590738i
\(682\) 12.1350 21.0185i 0.464674 0.804838i
\(683\) 15.2867 + 11.1065i 0.584931 + 0.424977i 0.840498 0.541814i \(-0.182262\pi\)
−0.255568 + 0.966791i \(0.582262\pi\)
\(684\) 2.49521 + 1.56276i 0.0954069 + 0.0597536i
\(685\) −8.38169 11.2459i −0.320248 0.429682i
\(686\) 7.00653 + 1.48928i 0.267511 + 0.0568611i
\(687\) −39.1926 6.93154i −1.49529 0.264455i
\(688\) −17.7233 + 3.76720i −0.675694 + 0.143623i
\(689\) 20.2131 22.4489i 0.770058 0.855236i
\(690\) 6.01885 5.94954i 0.229134 0.226495i
\(691\) 18.6879 + 20.7550i 0.710922 + 0.789559i 0.985075 0.172128i \(-0.0550641\pi\)
−0.274153 + 0.961686i \(0.588397\pi\)
\(692\) 12.6570 + 9.19584i 0.481146 + 0.349573i
\(693\) −8.92049 + 35.6217i −0.338861 + 1.35316i
\(694\) −24.8191 18.0321i −0.942120 0.684490i
\(695\) 33.5110 30.9205i 1.27114 1.17288i
\(696\) −5.24324 + 18.2499i −0.198744 + 0.691759i
\(697\) 4.52783 + 2.01592i 0.171504 + 0.0763584i
\(698\) 14.7726 16.4066i 0.559150 0.620999i
\(699\) 14.2751 + 5.77606i 0.539933 + 0.218471i
\(700\) −12.8612 + 6.10567i −0.486108 + 0.230773i
\(701\) −14.8415 −0.560556 −0.280278 0.959919i \(-0.590427\pi\)
−0.280278 + 0.959919i \(0.590427\pi\)
\(702\) 9.11712 8.18362i 0.344104 0.308871i
\(703\) −7.73365 + 5.61882i −0.291680 + 0.211918i
\(704\) −2.95898 28.1528i −0.111521 1.06105i
\(705\) −12.8761 49.1922i −0.484943 1.85269i
\(706\) 1.02464 9.74884i 0.0385630 0.366902i
\(707\) −16.2756 28.1902i −0.612107 1.06020i
\(708\) 7.71768 0.265527i 0.290048 0.00997912i
\(709\) 1.07027 + 1.18866i 0.0401949 + 0.0446410i 0.762907 0.646508i \(-0.223771\pi\)
−0.722712 + 0.691149i \(0.757105\pi\)
\(710\) −18.1598 + 6.14592i −0.681524 + 0.230652i
\(711\) −11.3196 16.8194i −0.424519 0.630775i
\(712\) 8.32414 25.6191i 0.311960 0.960115i
\(713\) 8.53647 + 9.48071i 0.319693 + 0.355055i
\(714\) 11.2599 5.48466i 0.421392 0.205258i
\(715\) −16.9894 1.57675i −0.635368 0.0589672i
\(716\) −15.2580 + 3.24318i −0.570217 + 0.121203i
\(717\) 4.21676 7.92072i 0.157478 0.295805i
\(718\) 5.00266 8.66487i 0.186698 0.323370i
\(719\) −19.6770 14.2962i −0.733830 0.533159i 0.156943 0.987608i \(-0.449836\pi\)
−0.890773 + 0.454449i \(0.849836\pi\)
\(720\) 10.2659 + 4.86614i 0.382589 + 0.181350i
\(721\) 22.5596 16.3905i 0.840164 0.610415i
\(722\) −1.99548 18.9857i −0.0742641 0.706576i
\(723\) 9.40968 + 6.35396i 0.349950 + 0.236306i
\(724\) −4.62252 8.00644i −0.171795 0.297557i
\(725\) −1.43634 + 17.8340i −0.0533444 + 0.662338i
\(726\) −2.40249 0.972108i −0.0891646 0.0360783i
\(727\) 11.7113 + 2.48930i 0.434346 + 0.0923232i 0.419896 0.907572i \(-0.362067\pi\)
0.0144508 + 0.999896i \(0.495400\pi\)
\(728\) 18.7049 13.5899i 0.693250 0.503675i
\(729\) 2.90524 26.8432i 0.107602 0.994194i
\(730\) 0.263443 + 21.6337i 0.00975048 + 0.800700i
\(731\) −18.6864 + 8.31974i −0.691143 + 0.307717i
\(732\) −0.693632 0.280661i −0.0256374 0.0103735i
\(733\) 1.09056 10.3760i 0.0402808 0.383247i −0.955746 0.294193i \(-0.904949\pi\)
0.996027 0.0890535i \(-0.0283842\pi\)
\(734\) −20.2474 + 4.30371i −0.747343 + 0.158853i
\(735\) −12.3562 15.4406i −0.455764 0.569534i
\(736\) 8.42809 + 1.79145i 0.310664 + 0.0660336i
\(737\) −11.7039 + 36.0208i −0.431117 + 1.32684i
\(738\) −7.46854 + 3.96123i −0.274921 + 0.145815i
\(739\) 9.63830 + 29.6636i 0.354551 + 1.09119i 0.956270 + 0.292487i \(0.0944827\pi\)
−0.601719 + 0.798708i \(0.705517\pi\)
\(740\) 10.7203 9.89158i 0.394085 0.363622i
\(741\) −4.43641 0.784615i −0.162975 0.0288235i
\(742\) −5.50612 + 52.3872i −0.202136 + 1.92320i
\(743\) 17.4838 + 30.2828i 0.641418 + 1.11097i 0.985116 + 0.171889i \(0.0549870\pi\)
−0.343698 + 0.939080i \(0.611680\pi\)
\(744\) −15.8255 + 29.7265i −0.580191 + 1.08983i
\(745\) 6.58469 + 14.3177i 0.241244 + 0.524559i
\(746\) 3.77035 2.73932i 0.138042 0.100294i
\(747\) −6.58244 + 8.40727i −0.240839 + 0.307606i
\(748\) −1.70093 5.23491i −0.0621920 0.191407i
\(749\) 8.77921 15.2060i 0.320785 0.555617i
\(750\) 20.4307 + 5.06988i 0.746022 + 0.185126i
\(751\) −13.7941 23.8921i −0.503354 0.871835i −0.999992 0.00387741i \(-0.998766\pi\)
0.496638 0.867958i \(-0.334568\pi\)
\(752\) −14.8784 + 16.5241i −0.542559 + 0.602572i
\(753\) 12.0151 2.98913i 0.437856 0.108930i
\(754\) −0.881894 8.39066i −0.0321167 0.305570i
\(755\) −0.0402778 + 0.0568815i −0.00146586 + 0.00207013i
\(756\) 3.09850 14.4673i 0.112692 0.526172i
\(757\) 31.2879 1.13718 0.568589 0.822622i \(-0.307489\pi\)
0.568589 + 0.822622i \(0.307489\pi\)
\(758\) −9.59028 + 4.26987i −0.348335 + 0.155089i
\(759\) 7.87831 9.37919i 0.285965 0.340443i
\(760\) −1.80579 8.01444i −0.0655029 0.290714i
\(761\) −12.5311 + 13.9172i −0.454251 + 0.504497i −0.926150 0.377156i \(-0.876902\pi\)
0.471899 + 0.881653i \(0.343569\pi\)
\(762\) 12.3055 + 33.8633i 0.445781 + 1.22674i
\(763\) 11.2791 + 12.5267i 0.408330 + 0.453497i
\(764\) 0.569594 + 1.75303i 0.0206072 + 0.0634224i
\(765\) 12.4781 + 2.96381i 0.451147 + 0.107157i
\(766\) −3.13711 + 9.65503i −0.113348 + 0.348850i
\(767\) −10.7951 + 4.80628i −0.389788 + 0.173545i
\(768\) 3.81962 + 27.2799i 0.137828 + 0.984380i
\(769\) 2.43743 23.1906i 0.0878960 0.836274i −0.858402 0.512978i \(-0.828542\pi\)
0.946298 0.323296i \(-0.104791\pi\)
\(770\) 25.5837 15.1891i 0.921974 0.547377i