Properties

Label 177.2.e.b.79.1
Level $177$
Weight $2$
Character 177.79
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 79.1
Character \(\chi\) \(=\) 177.79
Dual form 177.2.e.b.121.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.13706 - 0.988707i) q^{2} +(0.947653 - 0.319302i) q^{3} +(2.29469 + 2.70152i) q^{4} +(2.84975 - 1.71464i) q^{5} +(-2.34088 - 0.254586i) q^{6} +(0.205959 + 3.79870i) q^{7} +(-0.972984 - 3.50437i) q^{8} +(0.796093 - 0.605174i) q^{9} +O(q^{10})\) \(q+(-2.13706 - 0.988707i) q^{2} +(0.947653 - 0.319302i) q^{3} +(2.29469 + 2.70152i) q^{4} +(2.84975 - 1.71464i) q^{5} +(-2.34088 - 0.254586i) q^{6} +(0.205959 + 3.79870i) q^{7} +(-0.972984 - 3.50437i) q^{8} +(0.796093 - 0.605174i) q^{9} +(-7.78535 + 0.846707i) q^{10} +(0.766914 + 4.67797i) q^{11} +(3.03717 + 1.82741i) q^{12} +(1.32729 + 1.00898i) q^{13} +(3.31565 - 8.32166i) q^{14} +(2.15309 - 2.53481i) q^{15} +(-0.238587 + 1.45532i) q^{16} +(0.334992 - 6.17856i) q^{17} +(-2.29964 + 0.506188i) q^{18} +(-0.760634 - 0.720510i) q^{19} +(11.1714 + 3.76409i) q^{20} +(1.40811 + 3.53408i) q^{21} +(2.98621 - 10.7553i) q^{22} +(-6.59327 - 1.45129i) q^{23} +(-2.04100 - 3.01025i) q^{24} +(2.83904 - 5.35500i) q^{25} +(-1.83890 - 3.46854i) q^{26} +(0.561187 - 0.827689i) q^{27} +(-9.78965 + 9.27325i) q^{28} +(1.47482 - 0.682323i) q^{29} +(-7.10745 + 3.28826i) q^{30} +(3.36504 - 3.18754i) q^{31} +(-2.13325 + 3.14630i) q^{32} +(2.22045 + 4.18822i) q^{33} +(-6.82468 + 12.8727i) q^{34} +(7.10032 + 10.4722i) q^{35} +(3.46168 + 0.761974i) q^{36} +(0.453724 - 1.63417i) q^{37} +(0.913143 + 2.29182i) q^{38} +(1.57998 + 0.532356i) q^{39} +(-8.78148 - 8.31826i) q^{40} +(-5.60800 + 1.23442i) q^{41} +(0.484970 - 8.94474i) q^{42} +(-0.677758 + 4.13414i) q^{43} +(-10.8778 + 12.8064i) q^{44} +(1.23101 - 3.08960i) q^{45} +(12.6553 + 9.62029i) q^{46} +(-11.1732 - 6.72270i) q^{47} +(0.238587 + 1.45532i) q^{48} +(-7.42872 + 0.807922i) q^{49} +(-11.3617 + 8.63696i) q^{50} +(-1.65537 - 5.96209i) q^{51} +(0.319942 + 5.90099i) q^{52} +(-3.87429 - 0.421354i) q^{53} +(-2.01763 + 1.21397i) q^{54} +(10.2065 + 12.0161i) q^{55} +(13.1116 - 4.41783i) q^{56} +(-0.950877 - 0.439922i) q^{57} -3.82638 q^{58} +(5.49712 + 5.36486i) q^{59} +11.7885 q^{60} +(-0.386501 - 0.178814i) q^{61} +(-10.3428 + 3.48490i) q^{62} +(2.46284 + 2.89948i) q^{63} +(10.1969 - 6.13529i) q^{64} +(5.51246 + 0.599516i) q^{65} +(-0.604310 - 11.1458i) q^{66} +(-4.22186 - 15.2058i) q^{67} +(17.4602 - 13.2729i) q^{68} +(-6.71153 + 0.729923i) q^{69} +(-4.81985 - 29.3998i) q^{70} +(9.90405 + 5.95907i) q^{71} +(-2.89534 - 2.20098i) q^{72} +(-1.94438 + 4.88001i) q^{73} +(-2.58535 + 3.04371i) q^{74} +(0.980567 - 5.98120i) q^{75} +(0.201054 - 3.70822i) q^{76} +(-17.6122 + 3.87675i) q^{77} +(-2.85015 - 2.69981i) q^{78} +(-5.10356 - 1.71959i) q^{79} +(1.81543 + 4.55637i) q^{80} +(0.267528 - 0.963550i) q^{81} +(13.2051 + 2.90666i) q^{82} +(3.34791 + 4.93779i) q^{83} +(-6.31623 + 11.9137i) q^{84} +(-9.63934 - 18.1817i) q^{85} +(5.53586 - 8.16479i) q^{86} +(1.17975 - 1.11752i) q^{87} +(15.6471 - 7.23914i) q^{88} +(9.08328 - 4.20237i) q^{89} +(-5.68545 + 5.38555i) q^{90} +(-3.55943 + 5.24977i) q^{91} +(-11.2088 - 21.1421i) q^{92} +(2.17111 - 4.09514i) q^{93} +(17.2310 + 25.4138i) q^{94} +(-3.40303 - 0.749063i) q^{95} +(-1.01696 + 3.66275i) q^{96} +(1.24418 + 3.12264i) q^{97} +(16.6744 + 5.61825i) q^{98} +(3.44152 + 3.25998i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{4}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.13706 0.988707i −1.51113 0.699122i −0.522939 0.852370i \(-0.675165\pi\)
−0.988188 + 0.153248i \(0.951027\pi\)
\(3\) 0.947653 0.319302i 0.547128 0.184349i
\(4\) 2.29469 + 2.70152i 1.14735 + 1.35076i
\(5\) 2.84975 1.71464i 1.27445 0.766809i 0.292554 0.956249i \(-0.405495\pi\)
0.981892 + 0.189440i \(0.0606673\pi\)
\(6\) −2.34088 0.254586i −0.955662 0.103934i
\(7\) 0.205959 + 3.79870i 0.0778453 + 1.43577i 0.732975 + 0.680256i \(0.238131\pi\)
−0.655129 + 0.755517i \(0.727386\pi\)
\(8\) −0.972984 3.50437i −0.344002 1.23898i
\(9\) 0.796093 0.605174i 0.265364 0.201725i
\(10\) −7.78535 + 0.846707i −2.46194 + 0.267752i
\(11\) 0.766914 + 4.67797i 0.231233 + 1.41046i 0.805889 + 0.592066i \(0.201688\pi\)
−0.574656 + 0.818395i \(0.694864\pi\)
\(12\) 3.03717 + 1.82741i 0.876757 + 0.527527i
\(13\) 1.32729 + 1.00898i 0.368123 + 0.279840i 0.772838 0.634603i \(-0.218836\pi\)
−0.404715 + 0.914443i \(0.632629\pi\)
\(14\) 3.31565 8.32166i 0.886146 2.22406i
\(15\) 2.15309 2.53481i 0.555925 0.654485i
\(16\) −0.238587 + 1.45532i −0.0596467 + 0.363829i
\(17\) 0.334992 6.17856i 0.0812474 1.49852i −0.619435 0.785048i \(-0.712638\pi\)
0.700683 0.713473i \(-0.252879\pi\)
\(18\) −2.29964 + 0.506188i −0.542029 + 0.119310i
\(19\) −0.760634 0.720510i −0.174501 0.165296i 0.595464 0.803382i \(-0.296968\pi\)
−0.769966 + 0.638085i \(0.779727\pi\)
\(20\) 11.1714 + 3.76409i 2.49801 + 0.841677i
\(21\) 1.40811 + 3.53408i 0.307274 + 0.771200i
\(22\) 2.98621 10.7553i 0.636661 2.29305i
\(23\) −6.59327 1.45129i −1.37479 0.302614i −0.534692 0.845047i \(-0.679572\pi\)
−0.840099 + 0.542433i \(0.817503\pi\)
\(24\) −2.04100 3.01025i −0.416618 0.614465i
\(25\) 2.83904 5.35500i 0.567809 1.07100i
\(26\) −1.83890 3.46854i −0.360639 0.680237i
\(27\) 0.561187 0.827689i 0.108001 0.159289i
\(28\) −9.78965 + 9.27325i −1.85007 + 1.75248i
\(29\) 1.47482 0.682323i 0.273867 0.126704i −0.278149 0.960538i \(-0.589721\pi\)
0.552016 + 0.833834i \(0.313859\pi\)
\(30\) −7.10745 + 3.28826i −1.29764 + 0.600351i
\(31\) 3.36504 3.18754i 0.604379 0.572498i −0.323104 0.946363i \(-0.604726\pi\)
0.927483 + 0.373865i \(0.121968\pi\)
\(32\) −2.13325 + 3.14630i −0.377108 + 0.556193i
\(33\) 2.22045 + 4.18822i 0.386531 + 0.729075i
\(34\) −6.82468 + 12.8727i −1.17042 + 2.20765i
\(35\) 7.10032 + 10.4722i 1.20017 + 1.77012i
\(36\) 3.46168 + 0.761974i 0.576947 + 0.126996i
\(37\) 0.453724 1.63417i 0.0745918 0.268655i −0.916845 0.399244i \(-0.869273\pi\)
0.991437 + 0.130588i \(0.0416866\pi\)
\(38\) 0.913143 + 2.29182i 0.148131 + 0.371782i
\(39\) 1.57998 + 0.532356i 0.252999 + 0.0852451i
\(40\) −8.78148 8.31826i −1.38847 1.31523i
\(41\) −5.60800 + 1.23442i −0.875823 + 0.192783i −0.630060 0.776547i \(-0.716970\pi\)
−0.245763 + 0.969330i \(0.579039\pi\)
\(42\) 0.484970 8.94474i 0.0748325 1.38020i
\(43\) −0.677758 + 4.13414i −0.103357 + 0.630451i 0.883447 + 0.468531i \(0.155217\pi\)
−0.986804 + 0.161919i \(0.948232\pi\)
\(44\) −10.8778 + 12.8064i −1.63989 + 1.93063i
\(45\) 1.23101 3.08960i 0.183508 0.460571i
\(46\) 12.6553 + 9.62029i 1.86592 + 1.41843i
\(47\) −11.1732 6.72270i −1.62978 0.980606i −0.974260 0.225428i \(-0.927622\pi\)
−0.655520 0.755178i \(-0.727550\pi\)
\(48\) 0.238587 + 1.45532i 0.0344371 + 0.210057i
\(49\) −7.42872 + 0.807922i −1.06125 + 0.115417i
\(50\) −11.3617 + 8.63696i −1.60679 + 1.22145i
\(51\) −1.65537 5.96209i −0.231798 0.834860i
\(52\) 0.319942 + 5.90099i 0.0443680 + 0.818320i
\(53\) −3.87429 0.421354i −0.532174 0.0578774i −0.161913 0.986805i \(-0.551766\pi\)
−0.370261 + 0.928928i \(0.620732\pi\)
\(54\) −2.01763 + 1.21397i −0.274565 + 0.165200i
\(55\) 10.2065 + 12.0161i 1.37625 + 1.62025i
\(56\) 13.1116 4.41783i 1.75212 0.590357i
\(57\) −0.950877 0.439922i −0.125947 0.0582692i
\(58\) −3.82638 −0.502429
\(59\) 5.49712 + 5.36486i 0.715664 + 0.698445i
\(60\) 11.7885 1.52189
\(61\) −0.386501 0.178814i −0.0494864 0.0228948i 0.394990 0.918685i \(-0.370748\pi\)
−0.444476 + 0.895791i \(0.646610\pi\)
\(62\) −10.3428 + 3.48490i −1.31354 + 0.442583i
\(63\) 2.46284 + 2.89948i 0.310288 + 0.365300i
\(64\) 10.1969 6.13529i 1.27462 0.766911i
\(65\) 5.51246 + 0.599516i 0.683737 + 0.0743609i
\(66\) −0.604310 11.1458i −0.0743854 1.37196i
\(67\) −4.22186 15.2058i −0.515783 1.85768i −0.514179 0.857683i \(-0.671903\pi\)
−0.00160430 0.999999i \(-0.500511\pi\)
\(68\) 17.4602 13.2729i 2.11736 1.60958i
\(69\) −6.71153 + 0.729923i −0.807973 + 0.0878724i
\(70\) −4.81985 29.3998i −0.576082 3.51395i
\(71\) 9.90405 + 5.95907i 1.17539 + 0.707211i 0.962876 0.269945i \(-0.0870057\pi\)
0.212519 + 0.977157i \(0.431833\pi\)
\(72\) −2.89534 2.20098i −0.341219 0.259388i
\(73\) −1.94438 + 4.88001i −0.227572 + 0.571162i −0.997778 0.0666332i \(-0.978774\pi\)
0.770206 + 0.637796i \(0.220154\pi\)
\(74\) −2.58535 + 3.04371i −0.300541 + 0.353824i
\(75\) 0.980567 5.98120i 0.113226 0.690649i
\(76\) 0.201054 3.70822i 0.0230625 0.425362i
\(77\) −17.6122 + 3.87675i −2.00710 + 0.441796i
\(78\) −2.85015 2.69981i −0.322716 0.305693i
\(79\) −5.10356 1.71959i −0.574195 0.193469i 0.0171983 0.999852i \(-0.494525\pi\)
−0.591393 + 0.806383i \(0.701422\pi\)
\(80\) 1.81543 + 4.55637i 0.202971 + 0.509418i
\(81\) 0.267528 0.963550i 0.0297254 0.107061i
\(82\) 13.2051 + 2.90666i 1.45826 + 0.320987i
\(83\) 3.34791 + 4.93779i 0.367480 + 0.541993i 0.965808 0.259259i \(-0.0834782\pi\)
−0.598328 + 0.801252i \(0.704168\pi\)
\(84\) −6.31623 + 11.9137i −0.689158 + 1.29989i
\(85\) −9.63934 18.1817i −1.04553 1.97208i
\(86\) 5.53586 8.16479i 0.596948 0.880432i
\(87\) 1.17975 1.11752i 0.126482 0.119810i
\(88\) 15.6471 7.23914i 1.66799 0.771695i
\(89\) 9.08328 4.20237i 0.962825 0.445450i 0.125463 0.992098i \(-0.459958\pi\)
0.837363 + 0.546648i \(0.184096\pi\)
\(90\) −5.68545 + 5.38555i −0.599299 + 0.567687i
\(91\) −3.55943 + 5.24977i −0.373130 + 0.550325i
\(92\) −11.2088 21.1421i −1.16860 2.20422i
\(93\) 2.17111 4.09514i 0.225133 0.424646i
\(94\) 17.2310 + 25.4138i 1.77724 + 2.62123i
\(95\) −3.40303 0.749063i −0.349143 0.0768522i
\(96\) −1.01696 + 3.66275i −0.103793 + 0.373828i
\(97\) 1.24418 + 3.12264i 0.126327 + 0.317056i 0.978514 0.206181i \(-0.0661035\pi\)
−0.852187 + 0.523237i \(0.824724\pi\)
\(98\) 16.6744 + 5.61825i 1.68437 + 0.567529i
\(99\) 3.44152 + 3.25998i 0.345886 + 0.327641i
\(100\) 20.9814 4.61836i 2.09814 0.461836i
\(101\) −1.02296 + 18.8674i −0.101789 + 1.87738i 0.289591 + 0.957151i \(0.406481\pi\)
−0.391380 + 0.920229i \(0.628002\pi\)
\(102\) −2.35715 + 14.3780i −0.233393 + 1.42363i
\(103\) 3.11334 3.66530i 0.306766 0.361153i −0.587078 0.809530i \(-0.699722\pi\)
0.893845 + 0.448377i \(0.147998\pi\)
\(104\) 2.24440 5.63302i 0.220082 0.552363i
\(105\) 10.0724 + 7.65686i 0.982968 + 0.747233i
\(106\) 7.86297 + 4.73099i 0.763719 + 0.459515i
\(107\) −1.19637 7.29751i −0.115657 0.705477i −0.979459 0.201645i \(-0.935371\pi\)
0.863802 0.503832i \(-0.168077\pi\)
\(108\) 3.52377 0.383233i 0.339075 0.0368767i
\(109\) −4.92227 + 3.74181i −0.471468 + 0.358401i −0.813768 0.581190i \(-0.802587\pi\)
0.342300 + 0.939591i \(0.388794\pi\)
\(110\) −9.93157 35.7703i −0.946938 3.41056i
\(111\) −0.0918188 1.69350i −0.00871506 0.160740i
\(112\) −5.57745 0.606584i −0.527019 0.0573168i
\(113\) −2.14903 + 1.29303i −0.202163 + 0.121638i −0.613036 0.790055i \(-0.710052\pi\)
0.410872 + 0.911693i \(0.365224\pi\)
\(114\) 1.59712 + 1.88028i 0.149584 + 0.176104i
\(115\) −21.2776 + 7.16925i −1.98414 + 0.668536i
\(116\) 5.22756 + 2.41853i 0.485367 + 0.224555i
\(117\) 1.66725 0.154137
\(118\) −6.44338 16.9000i −0.593161 1.55578i
\(119\) 23.5395 2.15786
\(120\) −10.9778 5.07888i −1.00213 0.463637i
\(121\) −10.8711 + 3.66289i −0.988279 + 0.332990i
\(122\) 0.649180 + 0.764273i 0.0587740 + 0.0691940i
\(123\) −4.92029 + 2.96044i −0.443648 + 0.266934i
\(124\) 16.3329 + 1.77631i 1.46674 + 0.159518i
\(125\) −0.191047 3.52365i −0.0170878 0.315165i
\(126\) −2.39649 8.63137i −0.213496 0.768943i
\(127\) 1.02572 0.779729i 0.0910176 0.0691898i −0.558676 0.829386i \(-0.688690\pi\)
0.649693 + 0.760196i \(0.274897\pi\)
\(128\) −20.2994 + 2.20769i −1.79423 + 0.195134i
\(129\) 0.677758 + 4.13414i 0.0596733 + 0.363991i
\(130\) −11.1877 6.73141i −0.981226 0.590384i
\(131\) −12.9785 9.86599i −1.13394 0.861996i −0.142142 0.989846i \(-0.545399\pi\)
−0.991793 + 0.127851i \(0.959192\pi\)
\(132\) −6.21931 + 15.6093i −0.541321 + 1.35861i
\(133\) 2.58034 3.03781i 0.223744 0.263412i
\(134\) −6.01171 + 36.6698i −0.519333 + 3.16779i
\(135\) 0.180056 3.32094i 0.0154968 0.285821i
\(136\) −21.9779 + 4.83770i −1.88459 + 0.414829i
\(137\) −5.84699 5.53856i −0.499542 0.473191i 0.395948 0.918273i \(-0.370416\pi\)
−0.895490 + 0.445082i \(0.853175\pi\)
\(138\) 15.0646 + 5.07585i 1.28238 + 0.432085i
\(139\) 1.04622 + 2.62581i 0.0887390 + 0.222718i 0.966648 0.256110i \(-0.0824410\pi\)
−0.877909 + 0.478828i \(0.841062\pi\)
\(140\) −11.9978 + 43.2121i −1.01400 + 3.65209i
\(141\) −12.7349 2.80316i −1.07247 0.236069i
\(142\) −15.2737 22.5271i −1.28174 1.89043i
\(143\) −3.70205 + 6.98281i −0.309581 + 0.583932i
\(144\) 0.690782 + 1.30295i 0.0575652 + 0.108579i
\(145\) 3.03292 4.47322i 0.251870 0.371481i
\(146\) 8.98015 8.50645i 0.743202 0.703998i
\(147\) −6.78188 + 3.13763i −0.559360 + 0.258787i
\(148\) 5.45590 2.52417i 0.448472 0.207485i
\(149\) 8.27751 7.84088i 0.678120 0.642350i −0.269033 0.963131i \(-0.586704\pi\)
0.947153 + 0.320781i \(0.103945\pi\)
\(150\) −8.00918 + 11.8127i −0.653947 + 0.964500i
\(151\) 0.729332 + 1.37567i 0.0593522 + 0.111950i 0.911413 0.411492i \(-0.134992\pi\)
−0.852061 + 0.523442i \(0.824647\pi\)
\(152\) −1.78485 + 3.36659i −0.144771 + 0.273066i
\(153\) −3.47242 5.12144i −0.280728 0.414044i
\(154\) 41.4713 + 9.12853i 3.34185 + 0.735598i
\(155\) 4.12405 14.8535i 0.331252 1.19306i
\(156\) 2.18739 + 5.48993i 0.175131 + 0.439546i
\(157\) −4.60010 1.54996i −0.367128 0.123700i 0.129690 0.991555i \(-0.458602\pi\)
−0.496818 + 0.867855i \(0.665498\pi\)
\(158\) 9.20642 + 8.72078i 0.732423 + 0.693788i
\(159\) −3.80602 + 0.837768i −0.301837 + 0.0664393i
\(160\) −0.684449 + 12.6239i −0.0541104 + 0.998008i
\(161\) 4.15506 25.3447i 0.327464 1.99744i
\(162\) −1.52439 + 1.79465i −0.119768 + 0.141001i
\(163\) −6.55741 + 16.4579i −0.513616 + 1.28908i 0.412196 + 0.911095i \(0.364762\pi\)
−0.925812 + 0.377984i \(0.876617\pi\)
\(164\) −16.2035 12.3175i −1.26528 0.961839i
\(165\) 13.5090 + 8.12810i 1.05167 + 0.632771i
\(166\) −2.27263 13.8624i −0.176390 1.07593i
\(167\) 1.64935 0.179378i 0.127631 0.0138807i −0.0440807 0.999028i \(-0.514036\pi\)
0.171711 + 0.985147i \(0.445070\pi\)
\(168\) 11.0147 8.37314i 0.849801 0.646002i
\(169\) −2.73421 9.84775i −0.210324 0.757519i
\(170\) 2.62340 + 48.3859i 0.201206 + 3.71103i
\(171\) −1.04157 0.113277i −0.0796508 0.00866255i
\(172\) −12.7237 + 7.65561i −0.970175 + 0.583735i
\(173\) −0.571245 0.672522i −0.0434310 0.0511309i 0.740018 0.672587i \(-0.234817\pi\)
−0.783449 + 0.621457i \(0.786541\pi\)
\(174\) −3.62608 + 1.22177i −0.274893 + 0.0926222i
\(175\) 20.9268 + 9.68175i 1.58191 + 0.731872i
\(176\) −6.99090 −0.526959
\(177\) 6.92237 + 3.32879i 0.520317 + 0.250207i
\(178\) −23.5664 −1.76638
\(179\) −4.64838 2.15057i −0.347436 0.160741i 0.238407 0.971165i \(-0.423375\pi\)
−0.585844 + 0.810424i \(0.699237\pi\)
\(180\) 11.1714 3.76409i 0.832669 0.280559i
\(181\) −2.18869 2.57672i −0.162684 0.191526i 0.674780 0.738019i \(-0.264239\pi\)
−0.837464 + 0.546493i \(0.815963\pi\)
\(182\) 12.7972 7.69982i 0.948591 0.570748i
\(183\) −0.423365 0.0460437i −0.0312960 0.00340365i
\(184\) 1.32929 + 24.5173i 0.0979966 + 1.80744i
\(185\) −1.50900 5.43494i −0.110944 0.399585i
\(186\) −8.68867 + 6.60496i −0.637084 + 0.484299i
\(187\) 29.1600 3.17134i 2.13239 0.231912i
\(188\) −7.47758 45.6112i −0.545358 3.32654i
\(189\) 3.25972 + 1.96131i 0.237110 + 0.142664i
\(190\) 6.53186 + 4.96539i 0.473871 + 0.360227i
\(191\) −1.94261 + 4.87558i −0.140562 + 0.352785i −0.982358 0.187012i \(-0.940120\pi\)
0.841795 + 0.539797i \(0.181499\pi\)
\(192\) 7.70415 9.07002i 0.555999 0.654573i
\(193\) 0.894760 5.45779i 0.0644062 0.392861i −0.934876 0.354975i \(-0.884489\pi\)
0.999282 0.0378858i \(-0.0120623\pi\)
\(194\) 0.428509 7.90339i 0.0307652 0.567430i
\(195\) 5.41533 1.19200i 0.387800 0.0853612i
\(196\) −19.2293 18.2149i −1.37352 1.30107i
\(197\) −0.177460 0.0597931i −0.0126435 0.00426008i 0.312973 0.949762i \(-0.398675\pi\)
−0.325616 + 0.945502i \(0.605572\pi\)
\(198\) −4.13156 10.3694i −0.293617 0.736923i
\(199\) −5.04258 + 18.1617i −0.357459 + 1.28745i 0.538240 + 0.842792i \(0.319089\pi\)
−0.895699 + 0.444661i \(0.853324\pi\)
\(200\) −21.5283 4.73873i −1.52228 0.335079i
\(201\) −8.85609 13.0618i −0.624661 0.921305i
\(202\) 20.8405 39.3094i 1.46633 2.76580i
\(203\) 2.89569 + 5.46185i 0.203238 + 0.383347i
\(204\) 12.3082 18.1532i 0.861744 1.27098i
\(205\) −13.8648 + 13.1335i −0.968361 + 0.917281i
\(206\) −10.2773 + 4.75478i −0.716053 + 0.331281i
\(207\) −6.12713 + 2.83471i −0.425865 + 0.197026i
\(208\) −1.78505 + 1.69089i −0.123771 + 0.117242i
\(209\) 2.78719 4.11079i 0.192794 0.284349i
\(210\) −13.9549 26.3218i −0.962983 1.81638i
\(211\) 5.14494 9.70439i 0.354192 0.668078i −0.640835 0.767679i \(-0.721412\pi\)
0.995027 + 0.0996008i \(0.0317566\pi\)
\(212\) −7.75200 11.4333i −0.532410 0.785246i
\(213\) 11.2883 + 2.48475i 0.773465 + 0.170252i
\(214\) −4.65840 + 16.7780i −0.318442 + 1.14692i
\(215\) 5.15711 + 12.9434i 0.351712 + 0.882731i
\(216\) −3.44655 1.16128i −0.234508 0.0790151i
\(217\) 12.8015 + 12.1263i 0.869026 + 0.823185i
\(218\) 14.2187 3.12978i 0.963014 0.211975i
\(219\) −0.284397 + 5.24540i −0.0192178 + 0.354451i
\(220\) −9.04079 + 55.1464i −0.609530 + 3.71797i
\(221\) 6.67865 7.86272i 0.449255 0.528904i
\(222\) −1.47815 + 3.70988i −0.0992071 + 0.248991i
\(223\) 16.7225 + 12.7121i 1.11982 + 0.851267i 0.990111 0.140285i \(-0.0448018\pi\)
0.129711 + 0.991552i \(0.458595\pi\)
\(224\) −12.3912 7.45555i −0.827923 0.498145i
\(225\) −0.980567 5.98120i −0.0653712 0.398746i
\(226\) 5.87102 0.638511i 0.390534 0.0424731i
\(227\) 17.6706 13.4328i 1.17284 0.891567i 0.177135 0.984187i \(-0.443317\pi\)
0.995702 + 0.0926196i \(0.0295241\pi\)
\(228\) −0.993511 3.57830i −0.0657969 0.236979i
\(229\) −0.554801 10.2327i −0.0366623 0.676196i −0.957884 0.287157i \(-0.907290\pi\)
0.921221 0.389039i \(-0.127193\pi\)
\(230\) 52.5597 + 5.71621i 3.46568 + 0.376916i
\(231\) −15.4524 + 9.29743i −1.01670 + 0.611726i
\(232\) −3.82608 4.50441i −0.251195 0.295729i
\(233\) 9.99437 3.36749i 0.654753 0.220612i 0.0277332 0.999615i \(-0.491171\pi\)
0.627020 + 0.779003i \(0.284275\pi\)
\(234\) −3.56301 1.64842i −0.232921 0.107761i
\(235\) −43.3678 −2.82900
\(236\) −1.87908 + 27.1613i −0.122318 + 1.76805i
\(237\) −5.38547 −0.349824
\(238\) −50.3052 23.2736i −3.26080 1.50861i
\(239\) −21.6919 + 7.30884i −1.40313 + 0.472769i −0.916217 0.400682i \(-0.868773\pi\)
−0.486912 + 0.873451i \(0.661877\pi\)
\(240\) 3.17525 + 3.73819i 0.204962 + 0.241299i
\(241\) 16.8020 10.1094i 1.08231 0.651204i 0.141431 0.989948i \(-0.454830\pi\)
0.940879 + 0.338744i \(0.110002\pi\)
\(242\) 26.8536 + 2.92051i 1.72622 + 0.187737i
\(243\) −0.0541389 0.998533i −0.00347301 0.0640559i
\(244\) −0.403831 1.45447i −0.0258526 0.0931127i
\(245\) −19.7847 + 15.0399i −1.26400 + 0.960865i
\(246\) 13.4420 1.46190i 0.857028 0.0932074i
\(247\) −0.282600 1.72379i −0.0179814 0.109682i
\(248\) −14.4444 8.69093i −0.917222 0.551874i
\(249\) 4.74930 + 3.61032i 0.300975 + 0.228795i
\(250\) −3.07559 + 7.71914i −0.194517 + 0.488201i
\(251\) 3.03354 3.57136i 0.191475 0.225422i −0.658044 0.752979i \(-0.728616\pi\)
0.849520 + 0.527557i \(0.176892\pi\)
\(252\) −2.18154 + 13.3068i −0.137424 + 0.838251i
\(253\) 1.73261 31.9561i 0.108928 2.00906i
\(254\) −2.96294 + 0.652192i −0.185911 + 0.0409222i
\(255\) −14.9402 14.1521i −0.935592 0.886240i
\(256\) 23.0088 + 7.75256i 1.43805 + 0.484535i
\(257\) 11.3145 + 28.3973i 0.705781 + 1.77138i 0.633164 + 0.774018i \(0.281756\pi\)
0.0726179 + 0.997360i \(0.476865\pi\)
\(258\) 2.63905 9.50500i 0.164300 0.591755i
\(259\) 6.30116 + 1.38699i 0.391535 + 0.0861833i
\(260\) 11.0298 + 16.2677i 0.684040 + 1.00888i
\(261\) 0.761167 1.43571i 0.0471151 0.0888684i
\(262\) 17.9812 + 33.9161i 1.11088 + 2.09534i
\(263\) −15.2076 + 22.4296i −0.937742 + 1.38307i −0.0140623 + 0.999901i \(0.504476\pi\)
−0.923680 + 0.383165i \(0.874834\pi\)
\(264\) 12.5166 11.8564i 0.770343 0.729708i
\(265\) −11.7632 + 5.44224i −0.722608 + 0.334314i
\(266\) −8.51784 + 3.94077i −0.522262 + 0.241624i
\(267\) 7.26597 6.88269i 0.444670 0.421214i
\(268\) 31.3909 46.2981i 1.91750 2.82811i
\(269\) −3.89015 7.33761i −0.237187 0.447382i 0.736132 0.676838i \(-0.236650\pi\)
−0.973319 + 0.229456i \(0.926305\pi\)
\(270\) −3.66822 + 6.91901i −0.223241 + 0.421077i
\(271\) −14.4699 21.3415i −0.878983 1.29640i −0.954180 0.299235i \(-0.903269\pi\)
0.0751963 0.997169i \(-0.476042\pi\)
\(272\) 8.91183 + 1.96164i 0.540359 + 0.118942i
\(273\) −1.69685 + 6.11149i −0.102698 + 0.369884i
\(274\) 7.01932 + 17.6172i 0.424053 + 1.06429i
\(275\) 27.2279 + 9.17413i 1.64190 + 0.553221i
\(276\) −17.3728 16.4564i −1.04572 0.990559i
\(277\) −15.1875 + 3.34303i −0.912531 + 0.200863i −0.646333 0.763055i \(-0.723698\pi\)
−0.266198 + 0.963919i \(0.585767\pi\)
\(278\) 0.360330 6.64590i 0.0216112 0.398595i
\(279\) 0.749871 4.57401i 0.0448936 0.273839i
\(280\) 29.7899 35.0714i 1.78029 2.09592i
\(281\) −2.77237 + 6.95813i −0.165386 + 0.415087i −0.988189 0.153239i \(-0.951030\pi\)
0.822803 + 0.568326i \(0.192409\pi\)
\(282\) 24.4437 + 18.5816i 1.45560 + 1.10652i
\(283\) 8.57030 + 5.15658i 0.509451 + 0.306527i 0.746972 0.664856i \(-0.231507\pi\)
−0.237520 + 0.971383i \(0.576335\pi\)
\(284\) 6.62821 + 40.4303i 0.393312 + 2.39909i
\(285\) −3.46407 + 0.376740i −0.205194 + 0.0223161i
\(286\) 14.8154 11.2624i 0.876056 0.665960i
\(287\) −5.84419 21.0489i −0.344972 1.24248i
\(288\) 0.205799 + 3.79574i 0.0121268 + 0.223666i
\(289\) −21.1620 2.30151i −1.24482 0.135383i
\(290\) −10.9042 + 6.56086i −0.640318 + 0.385267i
\(291\) 2.17611 + 2.56192i 0.127566 + 0.150182i
\(292\) −17.6452 + 5.94537i −1.03261 + 0.347926i
\(293\) 6.85758 + 3.17266i 0.400624 + 0.185349i 0.609846 0.792520i \(-0.291231\pi\)
−0.209222 + 0.977868i \(0.567093\pi\)
\(294\) 17.5954 1.02619
\(295\) 24.8642 + 5.86293i 1.44765 + 0.341353i
\(296\) −6.16819 −0.358519
\(297\) 4.30229 + 1.99045i 0.249644 + 0.115498i
\(298\) −25.4418 + 8.57235i −1.47381 + 0.496583i
\(299\) −7.28684 8.57873i −0.421409 0.496121i
\(300\) 18.4084 11.0760i 1.06281 0.639473i
\(301\) −15.8439 1.72313i −0.913230 0.0993197i
\(302\) −0.198492 3.66097i −0.0114219 0.210665i
\(303\) 5.05499 + 18.2064i 0.290401 + 1.04593i
\(304\) 1.23005 0.935058i 0.0705481 0.0536293i
\(305\) −1.40803 + 0.153133i −0.0806237 + 0.00876836i
\(306\) 2.35715 + 14.3780i 0.134750 + 0.821936i
\(307\) −1.80508 1.08608i −0.103021 0.0619859i 0.463111 0.886300i \(-0.346733\pi\)
−0.566132 + 0.824315i \(0.691561\pi\)
\(308\) −50.8878 38.6839i −2.89960 2.20422i
\(309\) 1.78003 4.46753i 0.101262 0.254149i
\(310\) −23.4991 + 27.6653i −1.33466 + 1.57128i
\(311\) −3.02566 + 18.4557i −0.171570 + 1.04653i 0.750888 + 0.660429i \(0.229626\pi\)
−0.922458 + 0.386098i \(0.873823\pi\)
\(312\) 0.328281 6.05479i 0.0185853 0.342785i
\(313\) −24.4742 + 5.38718i −1.38336 + 0.304502i −0.843445 0.537215i \(-0.819476\pi\)
−0.539919 + 0.841717i \(0.681545\pi\)
\(314\) 8.29823 + 7.86050i 0.468296 + 0.443594i
\(315\) 11.9900 + 4.03990i 0.675561 + 0.227623i
\(316\) −7.06559 17.7333i −0.397471 0.997576i
\(317\) 0.360954 1.30004i 0.0202732 0.0730174i −0.952722 0.303845i \(-0.901730\pi\)
0.972995 + 0.230828i \(0.0741433\pi\)
\(318\) 8.96198 + 1.97268i 0.502563 + 0.110622i
\(319\) 4.32294 + 6.37587i 0.242038 + 0.356980i
\(320\) 18.5389 34.9681i 1.03636 1.95477i
\(321\) −3.46385 6.53351i −0.193333 0.364665i
\(322\) −33.9381 + 50.0550i −1.89130 + 2.78945i
\(323\) −4.70652 + 4.45825i −0.261878 + 0.248064i
\(324\) 3.21695 1.48832i 0.178719 0.0826844i
\(325\) 9.17130 4.24310i 0.508732 0.235365i
\(326\) 30.2856 28.6880i 1.67736 1.58888i
\(327\) −3.46984 + 5.11763i −0.191882 + 0.283006i
\(328\) 9.78234 + 18.4515i 0.540140 + 1.01881i
\(329\) 23.2363 43.8282i 1.28106 2.41633i
\(330\) −20.8332 30.7266i −1.14683 1.69145i
\(331\) 20.7446 + 4.56622i 1.14022 + 0.250982i 0.744652 0.667453i \(-0.232615\pi\)
0.395572 + 0.918435i \(0.370546\pi\)
\(332\) −5.65714 + 20.3752i −0.310476 + 1.11823i
\(333\) −0.627749 1.57553i −0.0344004 0.0863386i
\(334\) −3.70211 1.24739i −0.202570 0.0682539i
\(335\) −38.1036 36.0937i −2.08182 1.97201i
\(336\) −5.47917 + 1.20606i −0.298913 + 0.0657957i
\(337\) 1.09202 20.1411i 0.0594861 1.09716i −0.804601 0.593816i \(-0.797621\pi\)
0.864087 0.503342i \(-0.167896\pi\)
\(338\) −3.89337 + 23.7485i −0.211772 + 1.29175i
\(339\) −1.62367 + 1.91153i −0.0881855 + 0.103820i
\(340\) 26.9990 67.7624i 1.46423 3.67493i
\(341\) 17.4919 + 13.2970i 0.947239 + 0.720073i
\(342\) 2.11389 + 1.27189i 0.114306 + 0.0687758i
\(343\) −0.290819 1.77392i −0.0157028 0.0957826i
\(344\) 15.1470 1.64734i 0.816672 0.0888184i
\(345\) −17.8746 + 13.5879i −0.962337 + 0.731549i
\(346\) 0.555856 + 2.00201i 0.0298830 + 0.107629i
\(347\) −0.617675 11.3923i −0.0331585 0.611573i −0.967139 0.254249i \(-0.918172\pi\)
0.933980 0.357325i \(-0.116311\pi\)
\(348\) 5.72616 + 0.622757i 0.306954 + 0.0333833i
\(349\) 4.00298 2.40851i 0.214275 0.128925i −0.404371 0.914595i \(-0.632509\pi\)
0.618645 + 0.785670i \(0.287682\pi\)
\(350\) −35.1493 41.3809i −1.87881 2.21190i
\(351\) 1.57998 0.532356i 0.0843329 0.0284150i
\(352\) −16.3543 7.56632i −0.871689 0.403286i
\(353\) 27.9534 1.48781 0.743905 0.668285i \(-0.232971\pi\)
0.743905 + 0.668285i \(0.232971\pi\)
\(354\) −11.5023 13.9580i −0.611340 0.741859i
\(355\) 38.4417 2.04027
\(356\) 32.1961 + 14.8955i 1.70639 + 0.789461i
\(357\) 22.3073 7.51619i 1.18062 0.397799i
\(358\) 7.80757 + 9.19178i 0.412643 + 0.485801i
\(359\) −16.6282 + 10.0048i −0.877601 + 0.528035i −0.881622 0.471957i \(-0.843548\pi\)
0.00402060 + 0.999992i \(0.498720\pi\)
\(360\) −12.0249 1.30778i −0.633766 0.0689262i
\(361\) −0.969211 17.8760i −0.0510111 0.940845i
\(362\) 2.12973 + 7.67058i 0.111936 + 0.403157i
\(363\) −9.13244 + 6.94230i −0.479329 + 0.364376i
\(364\) −22.3502 + 2.43073i −1.17147 + 0.127405i
\(365\) 2.82647 + 17.2407i 0.147944 + 0.902420i
\(366\) 0.859231 + 0.516982i 0.0449127 + 0.0270231i
\(367\) 12.5940 + 9.57368i 0.657399 + 0.499742i 0.879881 0.475195i \(-0.157622\pi\)
−0.222481 + 0.974937i \(0.571416\pi\)
\(368\) 3.68515 9.24903i 0.192102 0.482139i
\(369\) −3.71746 + 4.37653i −0.193523 + 0.227833i
\(370\) −2.14874 + 13.1067i −0.111708 + 0.681386i
\(371\) 0.802651 14.8040i 0.0416715 0.768586i
\(372\) 16.0451 3.53180i 0.831902 0.183115i
\(373\) 12.4545 + 11.7975i 0.644870 + 0.610853i 0.938588 0.345039i \(-0.112134\pi\)
−0.293719 + 0.955892i \(0.594893\pi\)
\(374\) −65.4522 22.0534i −3.38445 1.14035i
\(375\) −1.30615 3.27820i −0.0674495 0.169286i
\(376\) −12.6875 + 45.6961i −0.654306 + 2.35660i
\(377\) 2.64595 + 0.582418i 0.136274 + 0.0299961i
\(378\) −5.02705 7.41434i −0.258563 0.381352i
\(379\) 9.03713 17.0458i 0.464206 0.875586i −0.535315 0.844652i \(-0.679807\pi\)
0.999521 0.0309336i \(-0.00984804\pi\)
\(380\) −5.78530 10.9122i −0.296779 0.559785i
\(381\) 0.723055 1.06643i 0.0370432 0.0546346i
\(382\) 8.97199 8.49872i 0.459047 0.434832i
\(383\) 12.9720 6.00151i 0.662840 0.306663i −0.0594715 0.998230i \(-0.518942\pi\)
0.722312 + 0.691567i \(0.243079\pi\)
\(384\) −18.5318 + 8.57374i −0.945699 + 0.437527i
\(385\) −43.5432 + 41.2464i −2.21917 + 2.10211i
\(386\) −7.30831 + 10.7790i −0.371983 + 0.548634i
\(387\) 1.96232 + 3.70132i 0.0997502 + 0.188149i
\(388\) −5.58089 + 10.5267i −0.283327 + 0.534411i
\(389\) 16.9987 + 25.0713i 0.861870 + 1.27116i 0.961128 + 0.276102i \(0.0890426\pi\)
−0.0992584 + 0.995062i \(0.531647\pi\)
\(390\) −12.7514 2.80680i −0.645693 0.142128i
\(391\) −11.1756 + 40.2507i −0.565172 + 2.03557i
\(392\) 10.0593 + 25.2469i 0.508070 + 1.27516i
\(393\) −15.4493 5.20549i −0.779316 0.262582i
\(394\) 0.320123 + 0.303237i 0.0161276 + 0.0152768i
\(395\) −17.4923 + 3.85035i −0.880134 + 0.193732i
\(396\) −0.909678 + 16.7780i −0.0457130 + 0.843127i
\(397\) −2.06255 + 12.5810i −0.103516 + 0.631421i 0.883204 + 0.468990i \(0.155382\pi\)
−0.986720 + 0.162431i \(0.948066\pi\)
\(398\) 28.7329 33.8270i 1.44025 1.69560i
\(399\) 1.47529 3.70270i 0.0738569 0.185367i
\(400\) 7.11587 + 5.40934i 0.355793 + 0.270467i
\(401\) 20.7544 + 12.4875i 1.03643 + 0.623596i 0.928795 0.370595i \(-0.120846\pi\)
0.107631 + 0.994191i \(0.465674\pi\)
\(402\) 6.01171 + 36.6698i 0.299837 + 1.82892i
\(403\) 7.68253 0.835525i 0.382694 0.0416205i
\(404\) −53.3182 + 40.5314i −2.65268 + 2.01651i
\(405\) −0.889750 3.20459i −0.0442120 0.159237i
\(406\) −0.788080 14.5353i −0.0391117 0.721374i
\(407\) 7.99256 + 0.869243i 0.396176 + 0.0430868i
\(408\) −19.2827 + 11.6020i −0.954638 + 0.574386i
\(409\) 15.6809 + 18.4610i 0.775371 + 0.912837i 0.998073 0.0620495i \(-0.0197637\pi\)
−0.222702 + 0.974886i \(0.571488\pi\)
\(410\) 42.6151 14.3587i 2.10461 0.709125i
\(411\) −7.30939 3.38168i −0.360545 0.166806i
\(412\) 17.0461 0.839799
\(413\) −19.2473 + 21.9868i −0.947097 + 1.08190i
\(414\) 15.8967 0.781282
\(415\) 18.0072 + 8.33102i 0.883939 + 0.408954i
\(416\) −6.00598 + 2.02365i −0.294467 + 0.0992176i
\(417\) 1.82987 + 2.15430i 0.0896094 + 0.105496i
\(418\) −10.0207 + 6.02928i −0.490131 + 0.294902i
\(419\) −23.1060 2.51293i −1.12880 0.122765i −0.475396 0.879772i \(-0.657695\pi\)
−0.653407 + 0.757007i \(0.726661\pi\)
\(420\) 2.42796 + 44.7810i 0.118472 + 2.18509i
\(421\) 6.23008 + 22.4387i 0.303636 + 1.09360i 0.945190 + 0.326520i \(0.105876\pi\)
−0.641555 + 0.767077i \(0.721710\pi\)
\(422\) −20.5898 + 15.6520i −1.00230 + 0.761927i
\(423\) −12.9633 + 1.40985i −0.630298 + 0.0685490i
\(424\) 2.29304 + 13.9869i 0.111360 + 0.679264i
\(425\) −32.1351 19.3351i −1.55878 0.937889i
\(426\) −21.6671 16.4709i −1.04978 0.798019i
\(427\) 0.599659 1.50503i 0.0290195 0.0728335i
\(428\) 16.9691 19.9776i 0.820232 0.965652i
\(429\) −1.27864 + 7.79935i −0.0617333 + 0.376556i
\(430\) 1.77617 32.7596i 0.0856547 1.57981i
\(431\) 3.01325 0.663266i 0.145143 0.0319484i −0.141805 0.989895i \(-0.545290\pi\)
0.286948 + 0.957946i \(0.407359\pi\)
\(432\) 1.07066 + 1.01418i 0.0515120 + 0.0487948i
\(433\) −15.9265 5.36626i −0.765378 0.257886i −0.0905807 0.995889i \(-0.528872\pi\)
−0.674797 + 0.738003i \(0.735769\pi\)
\(434\) −15.3683 38.5715i −0.737702 1.85149i
\(435\) 1.44585 5.20748i 0.0693232 0.249680i
\(436\) −21.4037 4.71131i −1.02505 0.225631i
\(437\) 3.96939 + 5.85441i 0.189882 + 0.280055i
\(438\) 5.79394 10.9285i 0.276845 0.522186i
\(439\) −6.98287 13.1711i −0.333274 0.628622i 0.659076 0.752076i \(-0.270948\pi\)
−0.992350 + 0.123454i \(0.960603\pi\)
\(440\) 32.1779 47.4589i 1.53402 2.26251i
\(441\) −5.42502 + 5.13885i −0.258334 + 0.244707i
\(442\) −22.0466 + 10.1998i −1.04865 + 0.485157i
\(443\) 19.5675 9.05290i 0.929682 0.430116i 0.104207 0.994556i \(-0.466770\pi\)
0.825475 + 0.564439i \(0.190908\pi\)
\(444\) 4.36433 4.13411i 0.207122 0.196196i
\(445\) 18.6795 27.5502i 0.885494 1.30601i
\(446\) −23.1684 43.7002i −1.09705 2.06926i
\(447\) 5.34061 10.0735i 0.252602 0.476458i
\(448\) 25.4063 + 37.4714i 1.20033 + 1.77036i
\(449\) −6.61161 1.45533i −0.312021 0.0686810i 0.0561993 0.998420i \(-0.482102\pi\)
−0.368220 + 0.929739i \(0.620033\pi\)
\(450\) −3.81813 + 13.7516i −0.179988 + 0.648259i
\(451\) −10.0754 25.2874i −0.474433 1.19074i
\(452\) −8.42450 2.83854i −0.396255 0.133514i
\(453\) 1.13041 + 1.07078i 0.0531111 + 0.0503095i
\(454\) −51.0441 + 11.2357i −2.39562 + 0.527316i
\(455\) −1.14204 + 21.0637i −0.0535396 + 0.987479i
\(456\) −0.616464 + 3.76026i −0.0288686 + 0.176090i
\(457\) 6.94378 8.17485i 0.324816 0.382403i −0.575381 0.817885i \(-0.695146\pi\)
0.900197 + 0.435482i \(0.143422\pi\)
\(458\) −8.93150 + 22.4164i −0.417342 + 1.04745i
\(459\) −4.92593 3.74460i −0.229923 0.174783i
\(460\) −68.1934 41.0306i −3.17953 1.91306i
\(461\) 0.321945 + 1.96378i 0.0149945 + 0.0914621i 0.993264 0.115877i \(-0.0369679\pi\)
−0.978269 + 0.207339i \(0.933520\pi\)
\(462\) 42.2152 4.59118i 1.96403 0.213601i
\(463\) 1.25437 0.953551i 0.0582957 0.0443153i −0.575621 0.817717i \(-0.695239\pi\)
0.633916 + 0.773402i \(0.281446\pi\)
\(464\) 0.641123 + 2.30912i 0.0297634 + 0.107198i
\(465\) −0.834572 15.3928i −0.0387024 0.713823i
\(466\) −24.6880 2.68498i −1.14365 0.124379i
\(467\) 30.3058 18.2344i 1.40239 0.843788i 0.404881 0.914369i \(-0.367313\pi\)
0.997506 + 0.0705810i \(0.0224853\pi\)
\(468\) 3.82583 + 4.50412i 0.176849 + 0.208203i
\(469\) 56.8926 19.1694i 2.62706 0.885159i
\(470\) 92.6794 + 42.8781i 4.27498 + 1.97782i
\(471\) −4.85421 −0.223670
\(472\) 13.4518 24.4839i 0.619171 1.12696i
\(473\) −19.8592 −0.913126
\(474\) 11.5091 + 5.32465i 0.528628 + 0.244569i
\(475\) −6.01781 + 2.02764i −0.276116 + 0.0930343i
\(476\) 54.0159 + 63.5924i 2.47581 + 2.91475i
\(477\) −3.33928 + 2.00918i −0.152895 + 0.0919941i
\(478\) 53.5830 + 5.82750i 2.45083 + 0.266544i
\(479\) −0.702861 12.9635i −0.0321146 0.592318i −0.969660 0.244456i \(-0.921391\pi\)
0.937546 0.347862i \(-0.113092\pi\)
\(480\) 3.38222 + 12.1816i 0.154376 + 0.556013i
\(481\) 2.25106 1.71121i 0.102640 0.0780245i
\(482\) −45.9020 + 4.99214i −2.09078 + 0.227386i
\(483\) −4.15506 25.3447i −0.189062 1.15323i
\(484\) −34.8412 20.9632i −1.58369 0.952874i
\(485\) 8.89978 + 6.76544i 0.404118 + 0.307203i
\(486\) −0.871560 + 2.18745i −0.0395347 + 0.0992247i
\(487\) −20.5953 + 24.2466i −0.933261 + 1.09872i 0.0616636 + 0.998097i \(0.480359\pi\)
−0.994925 + 0.100623i \(0.967916\pi\)
\(488\) −0.250573 + 1.52843i −0.0113429 + 0.0691886i
\(489\) −0.959131 + 17.6901i −0.0433734 + 0.799976i
\(490\) 57.1511 12.5799i 2.58182 0.568302i
\(491\) −14.7650 13.9861i −0.666335 0.631186i 0.277841 0.960627i \(-0.410381\pi\)
−0.944176 + 0.329441i \(0.893140\pi\)
\(492\) −19.2883 6.49897i −0.869582 0.292996i
\(493\) −3.72172 9.34081i −0.167618 0.420689i
\(494\) −1.10039 + 3.96324i −0.0495088 + 0.178314i
\(495\) 15.3972 + 3.38917i 0.692051 + 0.152332i
\(496\) 3.83602 + 5.65770i 0.172242 + 0.254038i
\(497\) −20.5969 + 38.8498i −0.923896 + 1.74265i
\(498\) −6.57996 12.4111i −0.294855 0.556156i
\(499\) 23.0285 33.9644i 1.03090 1.52046i 0.188153 0.982140i \(-0.439750\pi\)
0.842742 0.538317i \(-0.180940\pi\)
\(500\) 9.08084 8.60183i 0.406107 0.384685i
\(501\) 1.50574 0.696628i 0.0672714 0.0311231i
\(502\) −10.0139 + 4.63291i −0.446941 + 0.206777i
\(503\) 2.42627 2.29828i 0.108182 0.102475i −0.631697 0.775215i \(-0.717641\pi\)
0.739879 + 0.672740i \(0.234883\pi\)
\(504\) 7.76453 11.4518i 0.345860 0.510105i
\(505\) 29.4356 + 55.5214i 1.30987 + 2.47067i
\(506\) −35.2979 + 66.5790i −1.56918 + 2.95980i
\(507\) −5.73549 8.45921i −0.254722 0.375687i
\(508\) 4.46016 + 0.981756i 0.197888 + 0.0435584i
\(509\) −7.17037 + 25.8253i −0.317821 + 1.14469i 0.616235 + 0.787562i \(0.288657\pi\)
−0.934056 + 0.357126i \(0.883757\pi\)
\(510\) 17.9358 + 45.0154i 0.794209 + 1.99331i
\(511\) −18.9382 6.38101i −0.837775 0.282279i
\(512\) −11.8577 11.2322i −0.524043 0.496399i
\(513\) −1.02322 + 0.225227i −0.0451761 + 0.00994401i
\(514\) 3.89687 71.8735i 0.171883 3.17020i
\(515\) 2.58756 15.7834i 0.114022 0.695501i
\(516\) −9.61323 + 11.3176i −0.423199 + 0.498228i
\(517\) 22.8797 57.4237i 1.00625 2.52549i
\(518\) −12.0946 9.19407i −0.531406 0.403964i
\(519\) −0.756079 0.454918i −0.0331882 0.0199687i
\(520\) −3.26261 19.9010i −0.143075 0.872718i
\(521\) 27.1298 2.95054i 1.18858 0.129266i 0.507615 0.861584i \(-0.330527\pi\)
0.680962 + 0.732318i \(0.261562\pi\)
\(522\) −3.04616 + 2.31563i −0.133327 + 0.101352i
\(523\) 5.10952 + 18.4028i 0.223424 + 0.804700i 0.987236 + 0.159262i \(0.0509114\pi\)
−0.763812 + 0.645438i \(0.776675\pi\)
\(524\) −3.12846 57.7011i −0.136668 2.52068i
\(525\) 22.9227 + 2.49300i 1.00043 + 0.108803i
\(526\) 54.6758 32.8974i 2.38398 1.43439i
\(527\) −18.5671 21.8589i −0.808796 0.952189i
\(528\) −6.62495 + 2.23221i −0.288314 + 0.0971443i
\(529\) 20.4907 + 9.48000i 0.890899 + 0.412174i
\(530\) 30.5194 1.32568
\(531\) 7.62289 + 0.944211i 0.330805 + 0.0409753i
\(532\) 14.1278 0.612518
\(533\) −8.68893 4.01993i −0.376359 0.174122i
\(534\) −22.3328 + 7.52478i −0.966433 + 0.325629i
\(535\) −15.9219 18.7447i −0.688364 0.810405i
\(536\) −49.1789 + 29.5900i −2.12420 + 1.27809i
\(537\) −5.09173 0.553759i −0.219725 0.0238965i
\(538\) 1.05873 + 19.5271i 0.0456450 + 0.841873i
\(539\) −9.47662 34.1317i −0.408187 1.47016i
\(540\) 9.38476 7.13411i 0.403856 0.307003i
\(541\) 8.93585 0.971832i 0.384182 0.0417823i 0.0860096 0.996294i \(-0.472588\pi\)
0.298173 + 0.954512i \(0.403623\pi\)
\(542\) 9.82248 + 59.9145i 0.421912 + 2.57355i
\(543\) −2.89687 1.74299i −0.124317 0.0747988i
\(544\) 18.7250 + 14.2344i 0.802828 + 0.610294i
\(545\) −7.61138 + 19.1031i −0.326036 + 0.818288i
\(546\) 9.66874 11.3829i 0.413784 0.487144i
\(547\) 1.33143 8.12138i 0.0569280 0.347245i −0.942969 0.332881i \(-0.891979\pi\)
0.999897 0.0143643i \(-0.00457247\pi\)
\(548\) 1.54550 28.5051i 0.0660205 1.21768i
\(549\) −0.415905 + 0.0915476i −0.0177504 + 0.00390716i
\(550\) −49.1169 46.5260i −2.09435 1.98388i
\(551\) −1.61342 0.543623i −0.0687338 0.0231591i
\(552\) 9.08812 + 22.8095i 0.386816 + 0.970836i
\(553\) 5.48107 19.7410i 0.233079 0.839474i
\(554\) 35.7619 + 7.87179i 1.51938 + 0.334440i
\(555\) −3.16540 4.66861i −0.134364 0.198171i
\(556\) −4.69293 + 8.85180i −0.199025 + 0.375400i
\(557\) 17.9944 + 33.9411i 0.762447 + 1.43813i 0.894585 + 0.446897i \(0.147471\pi\)
−0.132138 + 0.991231i \(0.542184\pi\)
\(558\) −6.12488 + 9.03352i −0.259287 + 0.382419i
\(559\) −5.07083 + 4.80335i −0.214473 + 0.203160i
\(560\) −16.9344 + 7.83468i −0.715608 + 0.331076i
\(561\) 26.6210 12.3162i 1.12394 0.519989i
\(562\) 12.8043 12.1288i 0.540115 0.511624i
\(563\) −7.19528 + 10.6122i −0.303245 + 0.447253i −0.948529 0.316690i \(-0.897429\pi\)
0.645284 + 0.763942i \(0.276739\pi\)
\(564\) −21.6499 40.8360i −0.911624 1.71951i
\(565\) −3.90711 + 7.36960i −0.164374 + 0.310041i
\(566\) −13.2169 19.4934i −0.555546 0.819369i
\(567\) 3.71533 + 0.817807i 0.156029 + 0.0343447i
\(568\) 11.2463 40.5055i 0.471885 1.69957i
\(569\) −11.7335 29.4489i −0.491895 1.23456i −0.940182 0.340674i \(-0.889345\pi\)
0.448287 0.893890i \(-0.352034\pi\)
\(570\) 7.77539 + 2.61983i 0.325675 + 0.109733i
\(571\) −2.64080 2.50150i −0.110514 0.104684i 0.630448 0.776232i \(-0.282871\pi\)
−0.740962 + 0.671547i \(0.765630\pi\)
\(572\) −27.3593 + 6.02224i −1.14395 + 0.251802i
\(573\) −0.284139 + 5.24064i −0.0118701 + 0.218931i
\(574\) −8.32181 + 50.7608i −0.347346 + 2.11872i
\(575\) −26.4902 + 31.1867i −1.10472 + 1.30058i
\(576\) 4.40479 11.0552i 0.183533 0.460633i
\(577\) −22.5611 17.1505i −0.939232 0.713985i 0.0190478 0.999819i \(-0.493937\pi\)
−0.958279 + 0.285833i \(0.907730\pi\)
\(578\) 42.9489 + 25.8415i 1.78644 + 1.07486i
\(579\) −0.894760 5.45779i −0.0371850 0.226818i
\(580\) 19.0441 2.07117i 0.790765 0.0860008i
\(581\) −18.0676 + 13.7347i −0.749572 + 0.569810i
\(582\) −2.11749 7.62650i −0.0877726 0.316128i
\(583\) −1.00016 18.4469i −0.0414226 0.763994i
\(584\) 18.9932 + 2.06564i 0.785945 + 0.0854767i
\(585\) 4.75124 2.85873i 0.196440 0.118194i
\(586\) −11.5182 13.5603i −0.475813 0.560170i
\(587\) −5.15750 + 1.73776i −0.212873 + 0.0717252i −0.423718 0.905794i \(-0.639275\pi\)
0.210845 + 0.977520i \(0.432379\pi\)
\(588\) −24.0387 11.1215i −0.991340 0.458643i
\(589\) −4.85622 −0.200097
\(590\) −47.3394 37.1128i −1.94893 1.52791i
\(591\) −0.187262 −0.00770293
\(592\) 2.26998 + 1.05020i 0.0932955 + 0.0431631i
\(593\) −13.3363 + 4.49353i −0.547658 + 0.184527i −0.579510 0.814965i \(-0.696756\pi\)
0.0318522 + 0.999493i \(0.489859\pi\)
\(594\) −7.22626 8.50741i −0.296497 0.349063i
\(595\) 67.0816 40.3616i 2.75008 1.65467i
\(596\) 40.1767 + 4.36948i 1.64570 + 0.178981i
\(597\) 1.02045 + 18.8211i 0.0417644 + 0.770298i
\(598\) 7.09053 + 25.5378i 0.289953 + 1.04432i
\(599\) 24.7511 18.8153i 1.01130 0.768771i 0.0382280 0.999269i \(-0.487829\pi\)
0.973073 + 0.230498i \(0.0740356\pi\)
\(600\) −21.9144 + 2.38334i −0.894652 + 0.0972992i
\(601\) −2.55391 15.5782i −0.104176 0.635448i −0.986368 0.164556i \(-0.947381\pi\)
0.882191 0.470891i \(-0.156068\pi\)
\(602\) 32.1557 + 19.3475i 1.31057 + 0.788543i
\(603\) −12.5631 9.55025i −0.511611 0.388916i
\(604\) −2.04280 + 5.12704i −0.0831203 + 0.208616i
\(605\) −24.6993 + 29.0783i −1.00417 + 1.18220i
\(606\) 7.19803 43.9060i 0.292400 1.78356i
\(607\) −2.20880 + 40.7388i −0.0896523 + 1.65354i 0.515104 + 0.857128i \(0.327753\pi\)
−0.604756 + 0.796411i \(0.706729\pi\)
\(608\) 3.88956 0.856158i 0.157743 0.0347218i
\(609\) 4.48809 + 4.25134i 0.181866 + 0.172273i
\(610\) 3.16045 + 1.06488i 0.127963 + 0.0431157i
\(611\) −8.04700 20.1965i −0.325547 0.817061i
\(612\) 5.86753 21.1330i 0.237181 0.854249i
\(613\) −5.55769 1.22334i −0.224473 0.0494102i 0.101310 0.994855i \(-0.467697\pi\)
−0.325783 + 0.945445i \(0.605628\pi\)
\(614\) 2.78374 + 4.10571i 0.112343 + 0.165693i
\(615\) −8.94551 + 16.8730i −0.360718 + 0.680386i
\(616\) 30.7220 + 57.9478i 1.23782 + 2.33478i
\(617\) −7.42901 + 10.9570i −0.299081 + 0.441111i −0.947302 0.320341i \(-0.896203\pi\)
0.648222 + 0.761452i \(0.275513\pi\)
\(618\) −8.22110 + 7.78744i −0.330701 + 0.313257i
\(619\) −26.2239 + 12.1325i −1.05403 + 0.487645i −0.868858 0.495062i \(-0.835145\pi\)
−0.185169 + 0.982707i \(0.559283\pi\)
\(620\) 49.5905 22.9430i 1.99160 0.921413i
\(621\) −4.90127 + 4.64273i −0.196681 + 0.186306i
\(622\) 24.7133 36.4494i 0.990914 1.46149i
\(623\) 17.8343 + 33.6391i 0.714517 + 1.34772i
\(624\) −1.15171 + 2.17235i −0.0461052 + 0.0869636i
\(625\) 10.4207 + 15.3693i 0.416827 + 0.614774i
\(626\) 57.6291 + 12.6851i 2.30332 + 0.507000i
\(627\) 1.32870 4.78556i 0.0530633 0.191117i
\(628\) −6.36859 15.9840i −0.254134 0.637829i
\(629\) −9.94481 3.35080i −0.396525 0.133605i
\(630\) −21.6290 20.4881i −0.861722 0.816266i
\(631\) 18.1590 3.99711i 0.722900 0.159122i 0.161744 0.986833i \(-0.448288\pi\)
0.561155 + 0.827710i \(0.310357\pi\)
\(632\) −1.06040 + 19.5579i −0.0421804 + 0.777971i
\(633\) 1.77699 10.8392i 0.0706292 0.430819i
\(634\) −2.05674 + 2.42138i −0.0816834 + 0.0961651i
\(635\) 1.58608 3.98076i 0.0629417 0.157972i
\(636\) −10.9969 8.35962i −0.436055 0.331481i
\(637\) −10.6752 6.42306i −0.422967 0.254491i
\(638\) −2.93451 17.8997i −0.116178 0.708656i
\(639\) 11.4908 1.24970i 0.454570 0.0494375i
\(640\) −54.0627 + 41.0974i −2.13702 + 1.62452i
\(641\) 5.55876 + 20.0209i 0.219558 + 0.790776i 0.988469 + 0.151421i \(0.0483849\pi\)
−0.768911 + 0.639355i \(0.779201\pi\)
\(642\) 0.942706 + 17.3872i 0.0372057 + 0.686218i
\(643\) 3.50865 + 0.381588i 0.138368 + 0.0150484i 0.177041 0.984204i \(-0.443348\pi\)
−0.0386731 + 0.999252i \(0.512313\pi\)
\(644\) 78.0039 46.9334i 3.07379 1.84944i
\(645\) 9.01999 + 10.6192i 0.355162 + 0.418129i
\(646\) 14.4660 4.87417i 0.569158 0.191771i
\(647\) −8.32838 3.85312i −0.327422 0.151482i 0.249290 0.968429i \(-0.419803\pi\)
−0.576713 + 0.816947i \(0.695665\pi\)
\(648\) −3.63694 −0.142872
\(649\) −20.8808 + 29.8297i −0.819644 + 1.17092i
\(650\) −23.7948 −0.933308
\(651\) 16.0034 + 7.40394i 0.627221 + 0.290183i
\(652\) −59.5085 + 20.0508i −2.33053 + 0.785248i
\(653\) −19.8841 23.4094i −0.778125 0.916080i 0.220110 0.975475i \(-0.429359\pi\)
−0.998235 + 0.0593956i \(0.981083\pi\)
\(654\) 12.4751 7.50600i 0.487814 0.293508i
\(655\) −53.9020 5.86220i −2.10613 0.229055i
\(656\) −0.458468 8.45594i −0.0179001 0.330149i
\(657\) 1.40535 + 5.06163i 0.0548281 + 0.197473i
\(658\) −92.9905 + 70.6895i −3.62515 + 2.75577i
\(659\) −19.3986 + 2.10973i −0.755663 + 0.0821833i −0.477837 0.878448i \(-0.658579\pi\)
−0.277825 + 0.960632i \(0.589614\pi\)
\(660\) 9.04079 + 55.1464i 0.351912 + 2.14657i
\(661\) −11.0966 6.67660i −0.431608 0.259690i 0.283131 0.959081i \(-0.408627\pi\)
−0.714739 + 0.699391i \(0.753454\pi\)
\(662\) −39.8176 30.2686i −1.54756 1.17642i
\(663\) 3.81847 9.58364i 0.148297 0.372198i
\(664\) 14.0464 16.5367i 0.545106 0.641748i
\(665\) 2.14458 13.0813i 0.0831632 0.507273i
\(666\) −0.216205 + 3.98766i −0.00837776 + 0.154519i
\(667\) −10.7141 + 2.35835i −0.414852 + 0.0913158i
\(668\) 4.26935 + 4.04414i 0.165186 + 0.156473i
\(669\) 19.9061 + 6.70716i 0.769616 + 0.259314i
\(670\) 45.7435 + 114.808i 1.76723 + 4.43540i
\(671\) 0.540076 1.94518i 0.0208494 0.0750927i
\(672\) −14.1231 3.10874i −0.544812 0.119922i
\(673\) 11.5553 + 17.0427i 0.445423 + 0.656949i 0.982431 0.186628i \(-0.0597559\pi\)
−0.537008 + 0.843577i \(0.680446\pi\)
\(674\) −22.2474 + 41.9630i −0.856938 + 1.61636i
\(675\) −2.83904 5.35500i −0.109275 0.206114i
\(676\) 20.3297 29.9841i 0.781913 1.15323i
\(677\) 21.0943 19.9815i 0.810718 0.767953i −0.165161 0.986267i \(-0.552814\pi\)
0.975879 + 0.218314i \(0.0700556\pi\)
\(678\) 5.35981 2.47971i 0.205842 0.0952328i
\(679\) −11.6057 + 5.36938i −0.445387 + 0.206058i
\(680\) −54.3366 + 51.4703i −2.08371 + 1.97380i
\(681\) 12.4564 18.3719i 0.477332 0.704012i
\(682\) −24.2343 45.7108i −0.927981 1.75036i
\(683\) 4.10014 7.73368i 0.156887 0.295921i −0.792591 0.609754i \(-0.791268\pi\)
0.949478 + 0.313833i \(0.101613\pi\)
\(684\) −2.08406 3.07376i −0.0796861 0.117528i
\(685\) −26.1591 5.75804i −0.999486 0.220004i
\(686\) −1.13239 + 4.07850i −0.0432349 + 0.155718i
\(687\) −3.79307 9.51990i −0.144715 0.363207i
\(688\) −5.85478 1.97270i −0.223211 0.0752087i
\(689\) −4.71715 4.46832i −0.179709 0.170230i
\(690\) 51.6335 11.3654i 1.96565 0.432673i
\(691\) −0.177624 + 3.27608i −0.00675713 + 0.124628i 0.993209 + 0.116347i \(0.0371186\pi\)
−0.999966 + 0.00828062i \(0.997364\pi\)
\(692\) 0.506000 3.08646i 0.0192352 0.117330i
\(693\) −11.6749 + 13.7447i −0.443492 + 0.522119i
\(694\) −9.94369 + 24.9568i −0.377457 + 0.947347i
\(695\) 7.48376 + 5.68901i 0.283875 + 0.215796i
\(696\) −5.06407 3.04695i −0.191953 0.115494i
\(697\) 5.74827 + 35.0629i 0.217731 + 1.32810i
\(698\) −10.9359 + 1.18935i −0.413930 + 0.0450176i
\(699\) 8.39595 6.38243i 0.317564 0.241406i
\(700\) 21.8651 + 78.7508i 0.826421 + 2.97650i
\(701\) 0.0659512 + 1.21640i 0.00249094 + 0.0459428i 0.999515 0.0311532i \(-0.00991798\pi\)
−0.997024 + 0.0770960i \(0.975435\pi\)
\(702\) −3.90284 0.424460i −0.147303 0.0160202i
\(703\) −1.52255 + 0.916089i −0.0574242 + 0.0345510i
\(704\) 36.5209 + 42.9957i 1.37643 + 1.62046i
\(705\) −41.0976 + 13.8474i −1.54783 + 0.521523i
\(706\) −59.7380 27.6378i −2.24827 1.04016i
\(707\) −71.8824 −2.70341
\(708\) 6.89193 + 26.3395i 0.259015 + 0.989898i
\(709\) 1.57273 0.0590651 0.0295326 0.999564i \(-0.490598\pi\)
0.0295326 + 0.999564i \(0.490598\pi\)
\(710\) −82.1521 38.0076i −3.08311 1.42640i
\(711\) −5.10356 + 1.71959i −0.191398 + 0.0644896i
\(712\) −23.5645 27.7423i −0.883118 1.03969i
\(713\) −26.8126 + 16.1326i −1.00414 + 0.604172i
\(714\) −55.1032 5.99283i −2.06218 0.224276i
\(715\) 1.42307 + 26.2469i 0.0532197 + 0.981579i
\(716\) −4.85680 17.4926i −0.181507 0.653730i
\(717\) −18.2226 + 13.8525i −0.680537 + 0.517331i
\(718\) 45.4272 4.94050i 1.69533 0.184378i
\(719\) 3.89482 + 23.7574i 0.145252 + 0.886000i 0.954430 + 0.298436i \(0.0964648\pi\)
−0.809177 + 0.587564i \(0.800087\pi\)
\(720\) 4.20265 + 2.52865i 0.156623 + 0.0942372i
\(721\) 14.5646 + 11.0717i 0.542414 + 0.412333i
\(722\) −15.6029 + 39.1604i −0.580681 + 1.45740i
\(723\) 12.6945 14.9451i 0.472113 0.555814i
\(724\) 1.93871 11.8256i 0.0720515 0.439494i
\(725\) 0.533227 9.83479i 0.0198036 0.365255i
\(726\) 26.3804 5.80677i 0.979070 0.215510i
\(727\) 3.09573 + 2.93243i 0.114814 + 0.108758i 0.742953 0.669343i \(-0.233424\pi\)
−0.628139 + 0.778101i \(0.716183\pi\)
\(728\) 21.8604 + 7.36563i 0.810200 + 0.272988i
\(729\) −0.370138 0.928977i −0.0137088 0.0344065i
\(730\) 11.0057 39.6389i 0.407339 1.46710i
\(731\) 25.3160 + 5.57247i 0.936346 + 0.206105i
\(732\) −0.847105 1.24939i −0.0313099 0.0461786i
\(733\) 4.17678 7.87824i 0.154273 0.290989i −0.794313 0.607508i \(-0.792169\pi\)
0.948586 + 0.316519i \(0.102514\pi\)
\(734\) −17.4484 32.9112i −0.644033 1.21478i
\(735\) −13.9467 + 20.5699i −0.514433 + 0.758732i
\(736\) 18.6313 17.6485i 0.686757 0.650531i
\(737\) 67.8944 31.4113i 2.50092 1.15705i
\(738\) 12.2715 5.67741i 0.451721 0.208988i
\(739\) 24.8901 23.5771i 0.915597 0.867299i −0.0759417 0.997112i \(-0.524196\pi\)
0.991539 + 0.129813i \(0.0414377\pi\)
\(740\) 11.2199 16.5481i 0.412452 0.608321i
\(741\) −0.818215 1.54332i −0.0300579 0.0566951i
\(742\) −16.3522 + 30.8434i −0.600306 + 1.13230i
\(743\) −29.6446 43.7226i −1.08756 1.60403i −0.748337 0.663318i \(-0.769148\pi\)
−0.339219 0.940707i \(-0.610163\pi\)
\(744\) −16.4633 3.62386i −0.603575 0.132857i
\(745\) 10.1446 36.5374i 0.371668 1.33863i
\(746\) −14.9517 37.5259i −0.547420 1.37392i
\(747\) 5.65347 + 1.90488i 0.206850 + 0.0696958i
\(748\) 75.4808 + 71.4992i 2.75985 + 2.61427i
\(749\) 27.4746 6.04762i 1.00390 0.220975i
\(750\) −0.449856 + 8.29710i −0.0164264 + 0.302967i
\(751\) −1.42155 + 8.67106i −0.0518730 + 0.316411i −0.999999 0.00148369i \(-0.999528\pi\)
0.948126 + 0.317895i \(0.102976\pi\)
\(752\) 12.4494 14.6566i 0.453984 0.534471i
\(753\) 1.73440 4.35302i 0.0632051 0.158633i
\(754\) −5.07871 3.86073i −0.184956 0.140600i
\(755\) 4.43718 + 2.66976i 0.161485 + 0.0971626i
\(756\) 2.18154 + 13.3068i 0.0793419 + 0.483964i
\(757\) 42.6800 4.64173i 1.55123 0.168707i 0.707983 0.706229i \(-0.249605\pi\)
0.843249 + 0.537523i \(0.180640\pi\)
\(758\) −36.1662 + 27.4928i −1.31362 + 0.998585i
\(759\) −8.56172 30.8365i −0.310771 1.11930i
\(760\) 0.686096 + 12.6543i 0.0248873 + 0.459019i
\(761\) 38.8621 + 4.22650i 1.40875 + 0.153211i 0.780672 0.624941i \(-0.214877\pi\)
0.628077 + 0.778151i \(0.283842\pi\)
\(762\) −2.59959 + 1.56412i −0.0941733 + 0.0566622i
\(763\) −15.2278 17.9276i −0.551283 0.649021i
\(764\) −17.6292 + 5.93997i −0.637802 + 0.214900i
\(765\) −18.6769 8.64086i −0.675266 0.312411i
\(766\) −33.6557 −1.21603
\(767\) 1.88323 + 12.6672i 0.0679997 + 0.457385i
\(768\) 24.2797 0.876120
\(769\) 3.14864 + 1.45672i 0.113543 + 0.0525306i 0.475838 0.879533i \(-0.342145\pi\)
−0.362295 + 0.932063i \(0.618007\pi\)
\(770\) 133.835 45.0942i 4.82308 1.62508i
\(771\) 19.7896 + 23.2981i 0.712704 + 0.839060i
\(772\) 16.7976 10.1068i 0.604557 0.363750i
\(773\) −32.3255