Properties

Label 225.2.q.a.121.19
Level $225$
Weight $2$
Character 225.121
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 121.19
Character \(\chi\) \(=\) 225.121
Dual form 225.2.q.a.106.19

$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{5}\right)\)

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 0.183982 0.982930i \(-0.441101\pi\)
0.567870 + 0.823119i \(0.307768\pi\)
\(3\) −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 0.981250 + 0.192739i \(0.0617370\pi\)
−0.323708 + 0.946157i \(0.604930\pi\)
\(8\) −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 −0.695034 0.718976i \(-0.744611\pi\)
−0.342511 + 0.939514i \(0.611278\pi\)
\(12\) 1.39578 0.246855i 0.402926 0.0712608i
\(13\) −2.12159 0.450957i −0.588422 0.125073i −0.0959273 0.995388i \(-0.530582\pi\)
−0.492495 + 0.870315i \(0.663915\pi\)
\(14\) 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 −0.759339 0.650695i \(-0.774478\pi\)
0.384199 + 0.923250i \(0.374478\pi\)
\(18\) 3.13570 + 0.895651i 0.739090 + 0.211107i
\(19\) −0.970198 + 0.704890i −0.222579 + 0.161713i −0.693487 0.720469i \(-0.743926\pi\)
0.470908 + 0.882182i \(0.343926\pi\)
\(20\) 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 0.866876 0.498524i \(-0.166124\pi\)
−0.586406 + 0.810017i \(0.699458\pi\)
\(24\) 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 −0.903299 0.429012i \(-0.858862\pi\)
0.972756 0.231830i \(-0.0744714\pi\)
\(30\) 4.20295 0.244683i 0.767349 0.0446728i
\(31\) −0.663380 6.31164i −0.119147 1.13360i −0.876769 0.480911i \(-0.840306\pi\)
0.757623 0.652693i \(-0.226361\pi\)
\(32\) 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 0.920934 + 0.389719i \(0.127428\pi\)
−0.515980 + 0.856601i \(0.672572\pi\)
\(38\) −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 0.00559964 0.999984i \(-0.498218\pi\)
−0.401615 + 0.915809i \(0.631551\pi\)
\(42\) −3.07848 5.78258i −0.475019 0.892272i
\(43\) 5.34941 + 9.26545i 0.815778 + 1.41297i 0.908768 + 0.417301i \(0.137024\pi\)
−0.0929908 + 0.995667i \(0.529643\pi\)
\(44\) 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 0.186595 + 0.982437i \(0.440255\pi\)
−0.386777 + 0.922173i \(0.626412\pi\)
\(48\) 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 −0.945269 0.326293i \(-0.894200\pi\)
−0.602427 0.798174i \(-0.705800\pi\)
\(54\) −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 0.541285 0.840839i \(-0.317938\pi\)
0.152488 + 0.988305i \(0.451271\pi\)
\(60\) −3.05669 + 0.838041i −0.394617 + 0.108191i
\(61\) −0.516362 + 0.109756i −0.0661133 + 0.0140528i −0.240850 0.970562i \(-0.577426\pi\)
0.174736 + 0.984615i \(0.444093\pi\)
\(62\) −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 0.817957 + 0.575279i \(0.195106\pi\)
−0.680476 + 0.732771i \(0.738227\pi\)
\(68\) 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 0.898076 0.439841i \(-0.144965\pi\)
−0.140793 + 0.990039i \(0.544965\pi\)
\(72\) −9.10018 + 1.28851i −1.07247 + 0.151852i
\(73\) −2.75054 + 8.46529i −0.321926 + 0.990787i 0.650883 + 0.759178i \(0.274399\pi\)
−0.972809 + 0.231609i \(0.925601\pi\)
\(74\) 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 0.880115 + 0.474760i \(0.157465\pi\)
−0.959591 + 0.281399i \(0.909201\pi\)
\(80\) 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 0.220453 0.975398i \(-0.429246\pi\)
−0.577350 + 0.816497i \(0.695913\pi\)
\(84\) 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 −0.697472 0.716612i \(-0.745692\pi\)
0.985481 0.169787i \(-0.0543080\pi\)
\(90\) −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 −0.395676 0.918390i \(-0.629490\pi\)
0.577974 0.816055i \(-0.303844\pi\)
\(98\) −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 0.999222 0.0394441i \(-0.0125587\pi\)
−0.533770 + 0.845629i \(0.679225\pi\)
\(102\) 2.98323 2.01445i 0.295384 0.199461i
\(103\) 7.32153 3.25976i 0.721412 0.321193i −0.0129830 0.999916i \(-0.504133\pi\)
0.734395 + 0.678722i \(0.237466\pi\)
\(104\) 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 0.853407 0.521245i \(-0.174532\pi\)
−0.996801 + 0.0799245i \(0.974532\pi\)
\(110\) 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 0.105424 0.994427i \(-0.466380\pi\)
−0.308160 + 0.951334i \(0.599713\pi\)
\(114\) 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 0.240106 + 0.970747i \(0.422818\pi\)
−0.764841 + 0.644219i \(0.777182\pi\)
\(128\) 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 0.971544 + 0.236859i \(0.0761181\pi\)
−0.901068 + 0.433679i \(0.857215\pi\)
\(132\) −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 −0.536678 0.843787i \(-0.680321\pi\)
0.895263 + 0.445538i \(0.146988\pi\)
\(138\) −2.43432 2.89807i −0.207223 0.246700i
\(139\) −13.6446 15.1538i −1.15732 1.28533i −0.951814 0.306675i \(-0.900783\pi\)
−0.205503 0.978656i \(-0.565883\pi\)
\(140\) 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 −0.973497 0.228701i \(-0.926552\pi\)
0.684810 + 0.728722i \(0.259885\pi\)
\(150\) −9.30730 + 1.41327i −0.759938 + 0.115393i
\(151\) 0.0155849 + 0.0269939i 0.00126828 + 0.00219673i 0.866659 0.498901i \(-0.166263\pi\)
−0.865391 + 0.501098i \(0.832930\pi\)
\(152\) 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 −0.892393 0.451260i \(-0.850975\pi\)
0.836999 + 0.547205i \(0.184308\pi\)
\(158\) 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 0.965004 0.262236i \(-0.0844598\pi\)
−0.934843 + 0.355062i \(0.884460\pi\)
\(164\) 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 0.993585 0.113088i \(-0.0360743\pi\)
−0.995385 + 0.0959608i \(0.969408\pi\)
\(168\) 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 −0.853672 0.520811i \(-0.825630\pi\)
−0.568036 + 0.823004i \(0.692296\pi\)
\(174\) −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 0.988825 0.149082i \(-0.0476320\pi\)
0.163778 + 0.986497i \(0.447632\pi\)
\(180\) 5.48816 0.130423i 0.409064 0.00972116i
\(181\) 9.13951 6.64024i 0.679335 0.493565i −0.193802 0.981041i \(-0.562082\pi\)
0.873137 + 0.487475i \(0.162082\pi\)
\(182\) −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 −0.795199 0.606348i \(-0.792634\pi\)
0.686147 + 0.727463i \(0.259301\pi\)
\(192\) −7.37939 + 11.8230i −0.532562 + 0.853255i
\(193\) 7.89562 13.6756i 0.568339 0.984393i −0.428391 0.903593i \(-0.640919\pi\)
0.996730 0.0807992i \(-0.0257472\pi\)
\(194\) −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 0.997570 0.0696750i \(-0.0221962\pi\)
0.242001 + 0.970276i \(0.422196\pi\)
\(198\) −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 0.341134 0.940015i \(-0.389189\pi\)
−0.970523 + 0.241007i \(0.922522\pi\)
\(212\) 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 −0.858536 0.512754i \(-0.828625\pi\)
−0.575756 + 0.817622i \(0.695292\pi\)
\(224\) 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 0.733799 0.679366i \(-0.237745\pi\)
0.946682 + 0.322169i \(0.104412\pi\)
\(228\) −1.18017 + 1.22337i −0.0781589 + 0.0810194i
\(229\) 20.9924 9.34642i 1.38722 0.617629i 0.428904 0.903350i \(-0.358900\pi\)
0.958313 + 0.285721i \(0.0922331\pi\)
\(230\) −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 −0.797916 0.602769i \(-0.794064\pi\)
0.326697 + 0.945129i \(0.394064\pi\)
\(234\) −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 0.620522 0.784189i \(-0.286921\pi\)
−0.844755 + 0.535153i \(0.820254\pi\)
\(240\) −5.07345 + 4.15728i −0.327490 + 0.268351i
\(241\) −4.38633 + 4.87152i −0.282549 + 0.313802i −0.867667 0.497146i \(-0.834381\pi\)
0.585118 + 0.810948i \(0.301048\pi\)
\(242\) 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 −0.794488 0.607280i \(-0.792261\pi\)
0.923164 + 0.384407i \(0.125594\pi\)
\(258\) −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 −0.259479 0.965749i \(-0.583551\pi\)
0.987581 + 0.157109i \(0.0502175\pi\)
\(264\) −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 −0.318845 + 0.947807i \(0.603295\pi\)
−0.999946 + 0.0103508i \(0.996705\pi\)
\(270\) 11.4830 + 5.25954i 0.698832 + 0.320085i
\(271\) 17.6749 + 12.8416i 1.07367 + 0.780069i 0.976569 0.215205i \(-0.0690419\pi\)
0.0971044 + 0.995274i \(0.469042\pi\)
\(272\) 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 0.229984 0.973194i \(-0.426133\pi\)
0.605935 + 0.795514i \(0.292799\pi\)
\(278\) −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 0.201545 0.979479i \(-0.435404\pi\)
−0.593035 + 0.805177i \(0.702070\pi\)
\(282\) 3.42772 24.4810i 0.204117 1.45782i
\(283\) −1.41160 13.4305i −0.0839108 0.798357i −0.952851 0.303440i \(-0.901865\pi\)
0.868940 0.494918i \(-0.164802\pi\)
\(284\) −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 −0.870591 0.492007i \(-0.836263\pi\)
0.861386 + 0.507950i \(0.169597\pi\)
\(294\) 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 0.993361 0.115043i \(-0.0367005\pi\)
−0.218247 + 0.975894i \(0.570034\pi\)
\(312\) −11.3336 + 2.00444i −0.641639 + 0.113479i
\(313\) 10.5424 11.7085i 0.595890 0.661803i −0.367464 0.930038i \(-0.619774\pi\)
0.963353 + 0.268235i \(0.0864404\pi\)
\(314\) −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 0.707800 0.706413i \(-0.249688\pi\)
−0.0513561 + 0.998680i \(0.516354\pi\)
\(318\) 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 0.925122 0.379669i \(-0.123962\pi\)
0.336879 + 0.941548i \(0.390629\pi\)
\(332\) 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 −0.324859 0.945762i \(-0.605317\pi\)
−0.681450 + 0.731865i \(0.738650\pi\)
\(338\) −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 −0.957549 0.288271i \(-0.906920\pi\)
−0.426498 + 0.904488i \(0.640253\pi\)
\(348\) −0.356417 5.05955i −0.0191060 0.271220i
\(349\) 10.1548 + 17.5887i 0.543575 + 0.941500i 0.998695 + 0.0510695i \(0.0162630\pi\)
−0.455120 + 0.890430i \(0.650404\pi\)
\(350\) 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 0.940374 + 0.340141i \(0.110475\pi\)
−0.990544 + 0.137193i \(0.956192\pi\)
\(354\) −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 0.997633 0.0687601i \(-0.0219043\pi\)
−0.847518 + 0.530766i \(0.821904\pi\)
\(360\) 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 −0.101088 0.994877i \(-0.532232\pi\)
−0.806979 + 0.590580i \(0.798899\pi\)
\(368\) −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 0.812822 0.582512i \(-0.197930\pi\)
−0.664284 + 0.747480i \(0.731263\pi\)
\(374\) 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 0.368755 0.929526i \(-0.379784\pi\)
−0.770081 + 0.637947i \(0.779784\pi\)
\(380\) −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 −0.990738 0.135786i \(-0.956644\pi\)
0.940857 0.338805i \(-0.110023\pi\)
\(384\) −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 0.487980 0.872855i \(-0.337734\pi\)
0.800814 + 0.598913i \(0.204400\pi\)
\(390\) −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 0.827392 0.561624i \(-0.189823\pi\)
−0.278458 + 0.960448i \(0.589823\pi\)
\(398\) −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 −0.758509 0.651662i \(-0.774072\pi\)
0.943611 + 0.331057i \(0.107405\pi\)
\(402\) −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 −0.0587786 0.998271i \(-0.518721\pi\)
−0.459730 + 0.888059i \(0.652054\pi\)
\(410\) 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 0.981681 + 0.190532i \(0.0610213\pi\)
−0.920615 + 0.390471i \(0.872312\pi\)
\(420\) −7.84291 7.75259i −0.382695 0.378288i
\(421\) 0.924308 8.79420i 0.0450480 0.428603i −0.948634 0.316374i \(-0.897534\pi\)
0.993682 0.112229i \(-0.0357989\pi\)
\(422\) −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 −0.654485 0.756075i \(-0.727115\pi\)
0.516823 + 0.856092i \(0.327115\pi\)
\(432\) 8.75042 0.933380i 0.421005 0.0449073i
\(433\) −2.00164 + 1.45427i −0.0961924 + 0.0698879i −0.634842 0.772642i \(-0.718935\pi\)
0.538649 + 0.842530i \(0.318935\pi\)
\(434\) 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 −0.00976881 0.999952i \(-0.503110\pi\)
0.397793 + 0.917475i \(0.369776\pi\)
\(440\) −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 0.998151 + 0.0607879i \(0.0193613\pi\)
−0.446432 + 0.894818i \(0.647305\pi\)
\(444\) 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 0.833625 0.552330i \(-0.186261\pi\)
−0.895145 + 0.445776i \(0.852928\pi\)
\(458\) 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 0.259279 0.965802i \(-0.416515\pi\)
0.629691 + 0.776846i \(0.283182\pi\)
\(462\) 14.8231 + 17.6470i 0.689633 + 0.821014i
\(463\) −1.50059 0.318960i −0.0697382 0.0148233i 0.172910 0.984938i \(-0.444683\pi\)
−0.242649 + 0.970114i \(0.578016\pi\)
\(464\) 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 −0.702703 0.711483i \(-0.748024\pi\)
0.459513 + 0.888171i \(0.348024\pi\)
\(468\) 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 0.973629 + 0.228138i \(0.0732637\pi\)
−0.999785 + 0.0207236i \(0.993403\pi\)
\(480\) 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 −0.818905 0.573929i \(-0.805419\pi\)
0.325162 0.945658i \(-0.394581\pi\)
\(488\) 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 0.144330 0.989530i \(-0.453897\pi\)
−0.270625 + 0.962685i \(0.587231\pi\)
\(492\) −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 −0.0836188 0.996498i \(-0.526648\pi\)
0.904802 0.425833i \(-0.140019\pi\)
\(500\) 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 0.858430 0.512931i \(-0.171440\pi\)
−0.222557 + 0.974920i \(0.571440\pi\)
\(504\) −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 0.522894 0.852398i \(-0.324852\pi\)
0.130986 + 0.991384i \(0.458186\pi\)
\(510\) −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 0.999709 0.0241133i \(-0.00767623\pi\)
0.285994 + 0.958231i \(0.407676\pi\)
\(522\) 4.36027 10.8241i 0.190844 0.473759i
\(523\) −2.83321 + 8.71972i −0.123888 + 0.381287i −0.993697 0.112102i \(-0.964242\pi\)
0.869809 + 0.493388i \(0.164242\pi\)
\(524\) −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 −0.999862 0.0166277i \(-0.994707\pi\)
0.799132 0.601156i \(-0.205293\pi\)
\(542\) 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 −0.473763 0.880652i \(-0.657105\pi\)
0.646508 0.762907i \(-0.276229\pi\)
\(548\) −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 0.649477 0.760381i \(-0.274988\pi\)
0.284052 + 0.958809i \(0.408321\pi\)
\(564\) 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 0.0325562 0.999470i \(-0.489635\pi\)
−0.720967 + 0.692970i \(0.756302\pi\)
\(570\) −3.90521 + 3.20000i −0.163571 + 0.134033i
\(571\) −13.6141 + 6.06140i −0.569734 + 0.253662i −0.671323 0.741165i \(-0.734274\pi\)
0.101590 + 0.994826i \(0.467607\pi\)
\(572\) −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 0.665452 + 0.746441i \(0.268239\pi\)
−0.977109 + 0.212740i \(0.931761\pi\)
\(578\) −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 −0.866727 0.498782i \(-0.833781\pi\)
0.586647 + 0.809843i \(0.300447\pi\)
\(588\) −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 −0.880728 0.473623i \(-0.842946\pi\)
0.850533 + 0.525921i \(0.176279\pi\)
\(600\) 22.3434 14.3080i 0.912166 0.584121i
\(601\) −9.97465 17.2766i −0.406874 0.704727i 0.587663 0.809106i \(-0.300048\pi\)
−0.994538 + 0.104378i \(0.966715\pi\)
\(602\) −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 −0.999339 0.0363452i \(-0.988428\pi\)
0.531146 + 0.847281i \(0.321762\pi\)
\(608\) 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 −0.982334 0.187135i \(-0.940080\pi\)
0.684730 0.728797i \(-0.259920\pi\)
\(614\) −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 0.992487 0.122353i \(-0.0390441\pi\)
−0.996237 + 0.0866698i \(0.972377\pi\)
\(618\) −13.9878 + 5.65984i −0.562673 + 0.227672i
\(619\) −0.275213 0.122533i −0.0110617 0.00492500i 0.401198 0.915991i \(-0.368594\pi\)
−0.412260 + 0.911066i \(0.635260\pi\)
\(620\) −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 −0.793718 0.608286i \(-0.791857\pi\)
0.333242 + 0.942841i \(0.391857\pi\)
\(632\) −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 −0.726954 0.686686i \(-0.759065\pi\)
0.758911 + 0.651194i \(0.225732\pi\)
\(642\) −9.49576 0.326702i −0.374768 0.0128939i
\(643\) −12.3127 + 21.3262i −0.485566 + 0.841025i −0.999862 0.0165876i \(-0.994720\pi\)
0.514297 + 0.857612i \(0.328053\pi\)
\(644\) −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 0.689903 0.723901i \(-0.257653\pi\)
−0.475279 + 0.879835i \(0.657653\pi\)
\(648\) −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 −0.437651 0.899145i \(-0.644189\pi\)
0.375349 + 0.926883i \(0.377523\pi\)
\(654\) 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 −0.146096 0.989270i \(-0.546671\pi\)
0.999122 + 0.0418891i \(0.0133376\pi\)
\(660\) 9.90555 5.11961i 0.385573 0.199280i
\(661\) 29.5406 + 32.8081i 1.14900 + 1.27609i 0.955501 + 0.294987i \(0.0953152\pi\)
0.193494 + 0.981102i \(0.438018\pi\)
\(662\) 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 −0.325577 0.945516i \(-0.605558\pi\)
0.0871469 + 0.996195i \(0.472225\pi\)
\(674\) −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 −0.998051 0.0623959i \(-0.980126\pi\)
−0.886387 + 0.462946i \(0.846793\pi\)
\(678\) 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 −0.255568 0.966791i \(-0.582262\pi\)
0.840498 + 0.541814i \(0.182262\pi\)
\(684\) 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 −0.274153 0.961686i \(-0.588397\pi\)
0.985075 + 0.172128i \(0.0550641\pi\)
\(692\) 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 −0.722712 0.691149i \(-0.757105\pi\)
0.762907 + 0.646508i \(0.223771\pi\)
\(710\) −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 −0.890773 0.454449i \(-0.849836\pi\)
0.156943 + 0.987608i \(0.449836\pi\)
\(720\) 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 0.0144508 0.999896i \(-0.495400\pi\)
0.419896 + 0.907572i \(0.362067\pi\)
\(728\) 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 0.996027 + 0.0890535i \(0.0283842\pi\)
−0.955746 + 0.294193i \(0.904949\pi\)
\(734\) −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 −0.601719 0.798708i \(-0.705517\pi\)
0.956270 0.292487i \(-0.0944827\pi\)
\(740\) 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 −0.343698 0.939080i \(-0.611680\pi\)
0.985116 0.171889i \(-0.0549870\pi\)
\(744\) −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 0.496638 + 0.867958i \(0.334568\pi\)
−0.999992 + 0.00387741i \(0.998766\pi\)
\(752\) −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 0.471899 0.881653i \(-0.343569\pi\)
−0.926150 + 0.377156i \(0.876902\pi\)
\(762\) 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 0.946298 + 0.323296i \(0.104791\pi\)
−0.858402 + 0.512978i \(0.828542\pi\)
\(770\) 25.5837 + 15.1891i 0.921974 + 0.547377i