Properties

Label 18.6.c.b.7.1
Level $18$
Weight $6$
Character 18.7
Analytic conductor $2.887$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 18.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.88690875663\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: 6.0.47347183152.3
Defining polynomial: \( x^{6} - 3x^{5} + 118x^{4} - 231x^{3} + 3700x^{2} - 3585x + 32331 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{2}\cdot 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 7.1
Root \(0.500000 - 4.03013i\) of defining polynomial
Character \(\chi\) \(=\) 18.7
Dual form 18.6.c.b.13.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.00000 + 3.46410i) q^{2} +(-8.58066 + 13.0143i) q^{3} +(-8.00000 - 13.8564i) q^{4} +(-39.2420 - 67.9691i) q^{5} +(-27.9216 - 55.7529i) q^{6} +(-110.566 + 191.505i) q^{7} +64.0000 q^{8} +(-95.7446 - 223.343i) q^{9} +O(q^{10})\) \(q+(-2.00000 + 3.46410i) q^{2} +(-8.58066 + 13.0143i) q^{3} +(-8.00000 - 13.8564i) q^{4} +(-39.2420 - 67.9691i) q^{5} +(-27.9216 - 55.7529i) q^{6} +(-110.566 + 191.505i) q^{7} +64.0000 q^{8} +(-95.7446 - 223.343i) q^{9} +313.936 q^{10} +(-115.144 + 199.436i) q^{11} +(248.977 + 14.7826i) q^{12} +(385.793 + 668.213i) q^{13} +(-442.262 - 766.020i) q^{14} +(1221.29 + 72.5123i) q^{15} +(-128.000 + 221.703i) q^{16} -769.880 q^{17} +(965.171 + 115.016i) q^{18} -383.367 q^{19} +(-627.872 + 1087.51i) q^{20} +(-1543.58 - 3082.17i) q^{21} +(-460.577 - 797.743i) q^{22} +(-193.178 - 334.594i) q^{23} +(-549.162 + 832.916i) q^{24} +(-1517.37 + 2628.15i) q^{25} -3086.34 q^{26} +(3728.20 + 670.377i) q^{27} +3538.10 q^{28} +(394.883 - 683.958i) q^{29} +(-2693.78 + 4085.66i) q^{30} +(-1609.97 - 2788.54i) q^{31} +(-512.000 - 886.810i) q^{32} +(-1607.51 - 3209.82i) q^{33} +(1539.76 - 2666.94i) q^{34} +17355.2 q^{35} +(-2328.77 + 3113.42i) q^{36} +2465.33 q^{37} +(766.733 - 1328.02i) q^{38} +(-12006.7 - 712.877i) q^{39} +(-2511.49 - 4350.02i) q^{40} +(4621.73 + 8005.07i) q^{41} +(13764.1 + 817.223i) q^{42} +(-5315.76 + 9207.16i) q^{43} +3684.62 q^{44} +(-11423.2 + 15272.1i) q^{45} +1545.42 q^{46} +(-976.032 + 1690.54i) q^{47} +(-1786.98 - 3568.19i) q^{48} +(-16046.0 - 27792.4i) q^{49} +(-6069.46 - 10512.6i) q^{50} +(6606.08 - 10019.5i) q^{51} +(6172.68 - 10691.4i) q^{52} -32589.2 q^{53} +(-9778.66 + 11574.1i) q^{54} +18074.0 q^{55} +(-7076.19 + 12256.3i) q^{56} +(3289.54 - 4989.25i) q^{57} +(1579.53 + 2735.83i) q^{58} +(11916.1 + 20639.2i) q^{59} +(-8765.58 - 17502.8i) q^{60} +(-18804.4 + 32570.2i) q^{61} +12879.7 q^{62} +(53357.3 + 6358.42i) q^{63} +4096.00 q^{64} +(30278.5 - 52444.0i) q^{65} +(14334.1 + 851.066i) q^{66} +(11525.6 + 19962.9i) q^{67} +(6159.04 + 10667.8i) q^{68} +(6012.10 + 356.959i) q^{69} +(-34710.5 + 60120.3i) q^{70} -66050.4 q^{71} +(-6127.65 - 14293.9i) q^{72} +65130.0 q^{73} +(-4930.66 + 8540.16i) q^{74} +(-21183.6 - 42298.8i) q^{75} +(3066.93 + 5312.08i) q^{76} +(-25462.0 - 44101.5i) q^{77} +(26482.8 - 40166.6i) q^{78} +(35433.7 - 61373.0i) q^{79} +20091.9 q^{80} +(-40714.9 + 42767.7i) q^{81} -36973.8 q^{82} +(-27643.5 + 47880.0i) q^{83} +(-30359.2 + 46045.9i) q^{84} +(30211.6 + 52328.0i) q^{85} +(-21263.0 - 36828.6i) q^{86} +(5512.88 + 11007.9i) q^{87} +(-7369.24 + 12763.9i) q^{88} +10598.6 q^{89} +(-30057.7 - 70115.3i) q^{90} -170622. q^{91} +(-3090.85 + 5353.50i) q^{92} +(50105.6 + 2974.94i) q^{93} +(-3904.13 - 6762.15i) q^{94} +(15044.1 + 26057.1i) q^{95} +(15934.5 + 946.086i) q^{96} +(41409.9 - 71724.1i) q^{97} +128368. q^{98} +(55567.0 + 6621.74i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 12 q^{2} + 9 q^{3} - 48 q^{4} - 54 q^{5} - 12 q^{6} - 132 q^{7} + 384 q^{8} - 177 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - 12 q^{2} + 9 q^{3} - 48 q^{4} - 54 q^{5} - 12 q^{6} - 132 q^{7} + 384 q^{8} - 177 q^{9} + 432 q^{10} - 315 q^{11} - 96 q^{12} - 744 q^{13} - 528 q^{14} + 2286 q^{15} - 768 q^{16} + 2898 q^{17} + 1056 q^{18} + 2262 q^{19} - 864 q^{20} - 11076 q^{21} - 1260 q^{22} - 3168 q^{23} + 576 q^{24} - 2883 q^{25} + 5952 q^{26} + 18144 q^{27} + 4224 q^{28} - 5148 q^{29} - 14400 q^{30} - 8610 q^{31} - 3072 q^{32} + 17469 q^{33} - 5796 q^{34} + 2700 q^{35} - 1392 q^{36} + 39936 q^{37} - 4524 q^{38} - 49026 q^{39} - 3456 q^{40} + 5049 q^{41} + 41352 q^{42} - 31389 q^{43} + 10080 q^{44} + 2538 q^{45} + 25344 q^{46} + 12924 q^{47} - 768 q^{48} - 52857 q^{49} - 11532 q^{50} + 36837 q^{51} - 11904 q^{52} - 96048 q^{53} - 71892 q^{54} + 126252 q^{55} - 8448 q^{56} - 17469 q^{57} - 20592 q^{58} + 62955 q^{59} + 21024 q^{60} - 75966 q^{61} + 68880 q^{62} + 49578 q^{63} + 24576 q^{64} + 108702 q^{65} + 2952 q^{66} - 32991 q^{67} - 23184 q^{68} - 29250 q^{69} - 5400 q^{70} - 129672 q^{71} - 11328 q^{72} - 8466 q^{73} - 79872 q^{74} - 105483 q^{75} - 18096 q^{76} + 88740 q^{77} + 171720 q^{78} + 89202 q^{79} + 27648 q^{80} + 123435 q^{81} - 40392 q^{82} + 32634 q^{83} + 11808 q^{84} + 71388 q^{85} - 125556 q^{86} - 151524 q^{87} - 20160 q^{88} + 66132 q^{89} - 263088 q^{90} - 301836 q^{91} - 50688 q^{92} + 57678 q^{93} + 51696 q^{94} - 82944 q^{95} - 6144 q^{96} + 46245 q^{97} + 422856 q^{98} + 282168 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.00000 + 3.46410i −0.353553 + 0.612372i
\(3\) −8.58066 + 13.0143i −0.550449 + 0.834868i
\(4\) −8.00000 13.8564i −0.250000 0.433013i
\(5\) −39.2420 67.9691i −0.701982 1.21587i −0.967770 0.251837i \(-0.918965\pi\)
0.265788 0.964032i \(-0.414368\pi\)
\(6\) −27.9216 55.7529i −0.316637 0.632251i
\(7\) −110.566 + 191.505i −0.852854 + 1.47719i 0.0257678 + 0.999668i \(0.491797\pi\)
−0.878622 + 0.477518i \(0.841536\pi\)
\(8\) 64.0000 0.353553
\(9\) −95.7446 223.343i −0.394011 0.919106i
\(10\) 313.936 0.992752
\(11\) −115.144 + 199.436i −0.286920 + 0.496960i −0.973073 0.230497i \(-0.925965\pi\)
0.686153 + 0.727457i \(0.259298\pi\)
\(12\) 248.977 + 14.7826i 0.499121 + 0.0296345i
\(13\) 385.793 + 668.213i 0.633134 + 1.09662i 0.986907 + 0.161289i \(0.0515652\pi\)
−0.353773 + 0.935331i \(0.615101\pi\)
\(14\) −442.262 766.020i −0.603059 1.04453i
\(15\) 1221.29 + 72.5123i 1.40150 + 0.0832115i
\(16\) −128.000 + 221.703i −0.125000 + 0.216506i
\(17\) −769.880 −0.646101 −0.323051 0.946382i \(-0.604708\pi\)
−0.323051 + 0.946382i \(0.604708\pi\)
\(18\) 965.171 + 115.016i 0.702139 + 0.0836717i
\(19\) −383.367 −0.243630 −0.121815 0.992553i \(-0.538871\pi\)
−0.121815 + 0.992553i \(0.538871\pi\)
\(20\) −627.872 + 1087.51i −0.350991 + 0.607934i
\(21\) −1543.58 3082.17i −0.763803 1.52514i
\(22\) −460.577 797.743i −0.202883 0.351404i
\(23\) −193.178 334.594i −0.0761444 0.131886i 0.825439 0.564491i \(-0.190928\pi\)
−0.901583 + 0.432605i \(0.857594\pi\)
\(24\) −549.162 + 832.916i −0.194613 + 0.295171i
\(25\) −1517.37 + 2628.15i −0.485557 + 0.841009i
\(26\) −3086.34 −0.895387
\(27\) 3728.20 + 670.377i 0.984215 + 0.176974i
\(28\) 3538.10 0.852854
\(29\) 394.883 683.958i 0.0871914 0.151020i −0.819131 0.573606i \(-0.805544\pi\)
0.906323 + 0.422586i \(0.138877\pi\)
\(30\) −2693.78 + 4085.66i −0.546460 + 0.828817i
\(31\) −1609.97 2788.54i −0.300893 0.521163i 0.675445 0.737410i \(-0.263952\pi\)
−0.976339 + 0.216247i \(0.930618\pi\)
\(32\) −512.000 886.810i −0.0883883 0.153093i
\(33\) −1607.51 3209.82i −0.256961 0.513092i
\(34\) 1539.76 2666.94i 0.228431 0.395655i
\(35\) 17355.2 2.39475
\(36\) −2328.77 + 3113.42i −0.299482 + 0.400388i
\(37\) 2465.33 0.296054 0.148027 0.988983i \(-0.452708\pi\)
0.148027 + 0.988983i \(0.452708\pi\)
\(38\) 766.733 1328.02i 0.0861361 0.149192i
\(39\) −12006.7 712.877i −1.26404 0.0750505i
\(40\) −2511.49 4350.02i −0.248188 0.429874i
\(41\) 4621.73 + 8005.07i 0.429383 + 0.743713i 0.996819 0.0797047i \(-0.0253977\pi\)
−0.567436 + 0.823418i \(0.692064\pi\)
\(42\) 13764.1 + 817.223i 1.20400 + 0.0714854i
\(43\) −5315.76 + 9207.16i −0.438424 + 0.759372i −0.997568 0.0696983i \(-0.977796\pi\)
0.559145 + 0.829070i \(0.311130\pi\)
\(44\) 3684.62 0.286920
\(45\) −11423.2 + 15272.1i −0.840923 + 1.12426i
\(46\) 1545.42 0.107684
\(47\) −976.032 + 1690.54i −0.0644495 + 0.111630i −0.896450 0.443146i \(-0.853862\pi\)
0.832000 + 0.554775i \(0.187196\pi\)
\(48\) −1786.98 3568.19i −0.111948 0.223534i
\(49\) −16046.0 27792.4i −0.954720 1.65362i
\(50\) −6069.46 10512.6i −0.343341 0.594683i
\(51\) 6606.08 10019.5i 0.355646 0.539410i
\(52\) 6172.68 10691.4i 0.316567 0.548310i
\(53\) −32589.2 −1.59362 −0.796809 0.604231i \(-0.793480\pi\)
−0.796809 + 0.604231i \(0.793480\pi\)
\(54\) −9778.66 + 11574.1i −0.456347 + 0.540137i
\(55\) 18074.0 0.805651
\(56\) −7076.19 + 12256.3i −0.301529 + 0.522264i
\(57\) 3289.54 4989.25i 0.134106 0.203399i
\(58\) 1579.53 + 2735.83i 0.0616537 + 0.106787i
\(59\) 11916.1 + 20639.2i 0.445659 + 0.771903i 0.998098 0.0616498i \(-0.0196362\pi\)
−0.552439 + 0.833553i \(0.686303\pi\)
\(60\) −8765.58 17502.8i −0.314342 0.627668i
\(61\) −18804.4 + 32570.2i −0.647046 + 1.12072i 0.336779 + 0.941584i \(0.390663\pi\)
−0.983825 + 0.179133i \(0.942671\pi\)
\(62\) 12879.7 0.425528
\(63\) 53357.3 + 6358.42i 1.69372 + 0.201836i
\(64\) 4096.00 0.125000
\(65\) 30278.5 52444.0i 0.888897 1.53962i
\(66\) 14334.1 + 851.066i 0.405053 + 0.0240494i
\(67\) 11525.6 + 19962.9i 0.313672 + 0.543295i 0.979154 0.203118i \(-0.0651075\pi\)
−0.665483 + 0.746413i \(0.731774\pi\)
\(68\) 6159.04 + 10667.8i 0.161525 + 0.279770i
\(69\) 6012.10 + 356.959i 0.152021 + 0.00902600i
\(70\) −34710.5 + 60120.3i −0.846673 + 1.46648i
\(71\) −66050.4 −1.55500 −0.777498 0.628885i \(-0.783511\pi\)
−0.777498 + 0.628885i \(0.783511\pi\)
\(72\) −6127.65 14293.9i −0.139304 0.324953i
\(73\) 65130.0 1.43045 0.715227 0.698893i \(-0.246324\pi\)
0.715227 + 0.698893i \(0.246324\pi\)
\(74\) −4930.66 + 8540.16i −0.104671 + 0.181295i
\(75\) −21183.6 42298.8i −0.434858 0.868309i
\(76\) 3066.93 + 5312.08i 0.0609074 + 0.105495i
\(77\) −25462.0 44101.5i −0.489402 0.847669i
\(78\) 26482.8 40166.6i 0.492865 0.747530i
\(79\) 35433.7 61373.0i 0.638776 1.10639i −0.346925 0.937893i \(-0.612774\pi\)
0.985702 0.168500i \(-0.0538924\pi\)
\(80\) 20091.9 0.350991
\(81\) −40714.9 + 42767.7i −0.689511 + 0.724275i
\(82\) −36973.8 −0.607239
\(83\) −27643.5 + 47880.0i −0.440451 + 0.762884i −0.997723 0.0674462i \(-0.978515\pi\)
0.557272 + 0.830330i \(0.311848\pi\)
\(84\) −30359.2 + 46045.9i −0.469453 + 0.712021i
\(85\) 30211.6 + 52328.0i 0.453551 + 0.785574i
\(86\) −21263.0 36828.6i −0.310012 0.536957i
\(87\) 5512.88 + 11007.9i 0.0780873 + 0.155922i
\(88\) −7369.24 + 12763.9i −0.101442 + 0.175702i
\(89\) 10598.6 0.141831 0.0709156 0.997482i \(-0.477408\pi\)
0.0709156 + 0.997482i \(0.477408\pi\)
\(90\) −30057.7 70115.3i −0.391155 0.912444i
\(91\) −170622. −2.15988
\(92\) −3090.85 + 5353.50i −0.0380722 + 0.0659430i
\(93\) 50105.6 + 2974.94i 0.600729 + 0.0356673i
\(94\) −3904.13 6762.15i −0.0455727 0.0789342i
\(95\) 15044.1 + 26057.1i 0.171024 + 0.296222i
\(96\) 15934.5 + 946.086i 0.176466 + 0.0104774i
\(97\) 41409.9 71724.1i 0.446864 0.773991i −0.551316 0.834296i \(-0.685874\pi\)
0.998180 + 0.0603057i \(0.0192076\pi\)
\(98\) 128368. 1.35018
\(99\) 55567.0 + 6621.74i 0.569809 + 0.0679023i
\(100\) 48555.7 0.485557
\(101\) −10604.1 + 18366.9i −0.103436 + 0.179156i −0.913098 0.407740i \(-0.866317\pi\)
0.809662 + 0.586896i \(0.199650\pi\)
\(102\) 21496.3 + 42923.0i 0.204580 + 0.408498i
\(103\) −65877.4 114103.i −0.611848 1.05975i −0.990929 0.134388i \(-0.957093\pi\)
0.379081 0.925363i \(-0.376240\pi\)
\(104\) 24690.7 + 42765.6i 0.223847 + 0.387714i
\(105\) −148919. + 225866.i −1.31819 + 1.99930i
\(106\) 65178.4 112892.i 0.563429 0.975888i
\(107\) 54796.5 0.462693 0.231347 0.972871i \(-0.425687\pi\)
0.231347 + 0.972871i \(0.425687\pi\)
\(108\) −20536.6 57022.5i −0.169422 0.470421i
\(109\) 160570. 1.29448 0.647242 0.762284i \(-0.275922\pi\)
0.647242 + 0.762284i \(0.275922\pi\)
\(110\) −36147.9 + 62610.1i −0.284840 + 0.493358i
\(111\) −21154.2 + 32084.6i −0.162963 + 0.247166i
\(112\) −28304.8 49025.3i −0.213213 0.369297i
\(113\) 33217.8 + 57534.9i 0.244723 + 0.423873i 0.962054 0.272860i \(-0.0879696\pi\)
−0.717331 + 0.696733i \(0.754636\pi\)
\(114\) 10704.2 + 21373.8i 0.0771422 + 0.154035i
\(115\) −15161.4 + 26260.3i −0.106904 + 0.185163i
\(116\) −12636.3 −0.0871914
\(117\) 112303. 150142.i 0.758449 1.01400i
\(118\) −95328.4 −0.630256
\(119\) 85122.2 147436.i 0.551030 0.954412i
\(120\) 78162.7 + 4640.79i 0.495503 + 0.0294197i
\(121\) 54009.1 + 93546.4i 0.335354 + 0.580850i
\(122\) −75217.7 130281.i −0.457531 0.792467i
\(123\) −143838. 8540.15i −0.857256 0.0508982i
\(124\) −25759.5 + 44616.7i −0.150447 + 0.260581i
\(125\) −7084.72 −0.0405553
\(126\) −128741. + 172118.i −0.722421 + 0.965830i
\(127\) −299603. −1.64830 −0.824152 0.566368i \(-0.808348\pi\)
−0.824152 + 0.566368i \(0.808348\pi\)
\(128\) −8192.00 + 14189.0i −0.0441942 + 0.0765466i
\(129\) −74212.1 148184.i −0.392646 0.784022i
\(130\) 121114. + 209776.i 0.628545 + 1.08867i
\(131\) 166224. + 287909.i 0.846283 + 1.46581i 0.884502 + 0.466536i \(0.154498\pi\)
−0.0382189 + 0.999269i \(0.512168\pi\)
\(132\) −31616.5 + 47952.8i −0.157935 + 0.239541i
\(133\) 42387.1 73416.7i 0.207781 0.359887i
\(134\) −92204.5 −0.443599
\(135\) −100737. 279710.i −0.475724 1.32091i
\(136\) −49272.3 −0.228431
\(137\) 93601.3 162122.i 0.426070 0.737974i −0.570450 0.821332i \(-0.693231\pi\)
0.996520 + 0.0833580i \(0.0265645\pi\)
\(138\) −13260.7 + 20112.6i −0.0592748 + 0.0899023i
\(139\) 105285. + 182358.i 0.462198 + 0.800550i 0.999070 0.0431133i \(-0.0137276\pi\)
−0.536872 + 0.843664i \(0.680394\pi\)
\(140\) −138842. 240481.i −0.598688 1.03696i
\(141\) −13626.2 27208.3i −0.0577200 0.115253i
\(142\) 132101. 228805.i 0.549774 0.952237i
\(143\) −177687. −0.726635
\(144\) 61770.9 + 7361.05i 0.248244 + 0.0295824i
\(145\) −61984.0 −0.244827
\(146\) −130260. + 225617.i −0.505742 + 0.875970i
\(147\) 499385. + 29650.1i 1.90608 + 0.113171i
\(148\) −19722.7 34160.6i −0.0740135 0.128195i
\(149\) −242872. 420667.i −0.896215 1.55229i −0.832294 0.554335i \(-0.812973\pi\)
−0.0639212 0.997955i \(-0.520361\pi\)
\(150\) 188894. + 11215.3i 0.685474 + 0.0406989i
\(151\) −105105. + 182047.i −0.375130 + 0.649744i −0.990346 0.138614i \(-0.955735\pi\)
0.615217 + 0.788358i \(0.289069\pi\)
\(152\) −24535.5 −0.0861361
\(153\) 73711.8 + 171947.i 0.254571 + 0.593835i
\(154\) 203696. 0.692119
\(155\) −126357. + 218856.i −0.422443 + 0.731694i
\(156\) 86175.6 + 172073.i 0.283513 + 0.566109i
\(157\) 196123. + 339696.i 0.635009 + 1.09987i 0.986513 + 0.163682i \(0.0523371\pi\)
−0.351504 + 0.936186i \(0.614330\pi\)
\(158\) 141735. + 245492.i 0.451683 + 0.782338i
\(159\) 279637. 424126.i 0.877206 1.33046i
\(160\) −40183.8 + 69600.4i −0.124094 + 0.214937i
\(161\) 85435.3 0.259760
\(162\) −66721.9 226576.i −0.199747 0.678308i
\(163\) 190208. 0.560738 0.280369 0.959892i \(-0.409543\pi\)
0.280369 + 0.959892i \(0.409543\pi\)
\(164\) 73947.7 128081.i 0.214692 0.371857i
\(165\) −155087. + 235220.i −0.443470 + 0.672612i
\(166\) −110574. 191520.i −0.311446 0.539440i
\(167\) 200619. + 347483.i 0.556650 + 0.964145i 0.997773 + 0.0666991i \(0.0212467\pi\)
−0.441123 + 0.897446i \(0.645420\pi\)
\(168\) −98789.3 197259.i −0.270045 0.539217i
\(169\) −112026. + 194034.i −0.301718 + 0.522590i
\(170\) −241693. −0.641418
\(171\) 36705.3 + 85622.1i 0.0959927 + 0.223922i
\(172\) 170104. 0.438424
\(173\) −47391.9 + 82085.1i −0.120389 + 0.208521i −0.919921 0.392103i \(-0.871748\pi\)
0.799532 + 0.600624i \(0.205081\pi\)
\(174\) −49158.4 2918.70i −0.123091 0.00730830i
\(175\) −335537. 581166.i −0.828218 1.43452i
\(176\) −29477.0 51055.6i −0.0717300 0.124240i
\(177\) −370853. 22018.8i −0.889750 0.0528275i
\(178\) −21197.1 + 36714.5i −0.0501449 + 0.0868536i
\(179\) −218816. −0.510442 −0.255221 0.966883i \(-0.582148\pi\)
−0.255221 + 0.966883i \(0.582148\pi\)
\(180\) 303002. + 36107.8i 0.697050 + 0.0830652i
\(181\) −344513. −0.781645 −0.390823 0.920466i \(-0.627809\pi\)
−0.390823 + 0.920466i \(0.627809\pi\)
\(182\) 341243. 591050.i 0.763634 1.32265i
\(183\) −262525. 524200.i −0.579485 1.15710i
\(184\) −12363.4 21414.0i −0.0269211 0.0466287i
\(185\) −96744.5 167566.i −0.207825 0.359963i
\(186\) −110517. + 167621.i −0.234231 + 0.355260i
\(187\) 88647.3 153542.i 0.185379 0.321087i
\(188\) 31233.0 0.0644495
\(189\) −540592. + 639849.i −1.10082 + 1.30294i
\(190\) −120353. −0.241864
\(191\) 67476.5 116873.i 0.133835 0.231809i −0.791317 0.611406i \(-0.790604\pi\)
0.925152 + 0.379597i \(0.123938\pi\)
\(192\) −35146.4 + 53306.6i −0.0688062 + 0.104359i
\(193\) −113675. 196892.i −0.219671 0.380482i 0.735036 0.678028i \(-0.237165\pi\)
−0.954707 + 0.297546i \(0.903832\pi\)
\(194\) 165640. + 286896.i 0.315980 + 0.547294i
\(195\) 422712. + 844058.i 0.796083 + 1.58959i
\(196\) −256736. + 444679.i −0.477360 + 0.826811i
\(197\) 430437. 0.790213 0.395107 0.918635i \(-0.370708\pi\)
0.395107 + 0.918635i \(0.370708\pi\)
\(198\) −134072. + 179246.i −0.243039 + 0.324928i
\(199\) 719704. 1.28831 0.644156 0.764894i \(-0.277209\pi\)
0.644156 + 0.764894i \(0.277209\pi\)
\(200\) −97111.4 + 168202.i −0.171670 + 0.297342i
\(201\) −358700. 21297.2i −0.626241 0.0371820i
\(202\) −42416.5 73467.5i −0.0731402 0.126683i
\(203\) 87321.0 + 151244.i 0.148723 + 0.257596i
\(204\) −191682. 11380.8i −0.322483 0.0191469i
\(205\) 362732. 628269.i 0.602838 1.04415i
\(206\) 527019. 0.865283
\(207\) −56233.4 + 75180.4i −0.0912154 + 0.121949i
\(208\) −197526. −0.316567
\(209\) 44142.5 76457.1i 0.0699023 0.121074i
\(210\) −484586. 967605.i −0.758267 1.51408i
\(211\) −30700.0 53174.0i −0.0474715 0.0822230i 0.841313 0.540548i \(-0.181783\pi\)
−0.888785 + 0.458325i \(0.848450\pi\)
\(212\) 260714. + 451569.i 0.398405 + 0.690057i
\(213\) 566756. 859600.i 0.855947 1.29822i
\(214\) −109593. + 189821.i −0.163587 + 0.283341i
\(215\) 834403. 1.23106
\(216\) 238605. + 42904.2i 0.347973 + 0.0625698i
\(217\) 712027. 1.02647
\(218\) −321139. + 556229.i −0.457670 + 0.792707i
\(219\) −558858. + 847621.i −0.787392 + 1.19424i
\(220\) −144592. 250440.i −0.201413 0.348857i
\(221\) −297014. 514443.i −0.409069 0.708528i
\(222\) −68835.9 137449.i −0.0937417 0.187180i
\(223\) −329013. + 569868.i −0.443049 + 0.767383i −0.997914 0.0645574i \(-0.979436\pi\)
0.554865 + 0.831940i \(0.312770\pi\)
\(224\) 226438. 0.301529
\(225\) 732259. + 87260.9i 0.964291 + 0.114912i
\(226\) −265742. −0.346091
\(227\) 5067.16 8776.57i 0.00652679 0.0113047i −0.862744 0.505642i \(-0.831256\pi\)
0.869270 + 0.494337i \(0.164589\pi\)
\(228\) −95449.4 5667.15i −0.121601 0.00721985i
\(229\) −611518. 1.05918e6i −0.770584 1.33469i −0.937243 0.348677i \(-0.886631\pi\)
0.166659 0.986015i \(-0.446702\pi\)
\(230\) −60645.5 105041.i −0.0755925 0.130930i
\(231\) 792431. + 47049.3i 0.977083 + 0.0580127i
\(232\) 25272.5 43773.3i 0.0308268 0.0533936i
\(233\) −1.16513e6 −1.40599 −0.702996 0.711194i \(-0.748155\pi\)
−0.702996 + 0.711194i \(0.748155\pi\)
\(234\) 295501. + 689312.i 0.352792 + 0.822955i
\(235\) 153206. 0.180969
\(236\) 190657. 330227.i 0.222829 0.385952i
\(237\) 494683. + 987766.i 0.572079 + 1.14231i
\(238\) 340489. + 589744.i 0.389637 + 0.674871i
\(239\) −659760. 1.14274e6i −0.747122 1.29405i −0.949197 0.314683i \(-0.898102\pi\)
0.202075 0.979370i \(-0.435231\pi\)
\(240\) −172402. + 261482.i −0.193203 + 0.293031i
\(241\) −265905. + 460560.i −0.294906 + 0.510792i −0.974963 0.222367i \(-0.928622\pi\)
0.680057 + 0.733159i \(0.261955\pi\)
\(242\) −432072. −0.474262
\(243\) −207231. 896852.i −0.225133 0.974328i
\(244\) 601741. 0.647046
\(245\) −1.25935e6 + 2.18126e6i −1.34039 + 2.32163i
\(246\) 317260. 481189.i 0.334255 0.506965i
\(247\) −147900. 256170.i −0.154250 0.267169i
\(248\) −103038. 178467.i −0.106382 0.184259i
\(249\) −385925. 770603.i −0.394462 0.787648i
\(250\) 14169.4 24542.2i 0.0143385 0.0248349i
\(251\) 475.750 0.000476644 0.000238322 1.00000i \(-0.499924\pi\)
0.000238322 1.00000i \(0.499924\pi\)
\(252\) −338754. 790208.i −0.336034 0.783863i
\(253\) 88973.4 0.0873894
\(254\) 599207. 1.03786e6i 0.582764 1.00938i
\(255\) −940249. 55825.7i −0.905508 0.0537631i
\(256\) −32768.0 56755.8i −0.0312500 0.0541266i
\(257\) 13603.3 + 23561.6i 0.0128473 + 0.0222522i 0.872378 0.488833i \(-0.162577\pi\)
−0.859530 + 0.511085i \(0.829244\pi\)
\(258\) 661750. + 39290.3i 0.618935 + 0.0367482i
\(259\) −272581. + 472124.i −0.252491 + 0.437327i
\(260\) −968913. −0.888897
\(261\) −190565. 22709.0i −0.173158 0.0206347i
\(262\) −1.32979e6 −1.19683
\(263\) 69991.2 121228.i 0.0623956 0.108072i −0.833140 0.553062i \(-0.813459\pi\)
0.895536 + 0.444990i \(0.146793\pi\)
\(264\) −102880. 205428.i −0.0908495 0.181405i
\(265\) 1.27887e6 + 2.21506e6i 1.11869 + 1.93763i
\(266\) 169549. + 293667.i 0.146923 + 0.254478i
\(267\) −90942.6 + 137933.i −0.0780709 + 0.118410i
\(268\) 184409. 319406.i 0.156836 0.271648i
\(269\) 1.63842e6 1.38053 0.690263 0.723558i \(-0.257495\pi\)
0.690263 + 0.723558i \(0.257495\pi\)
\(270\) 1.17042e6 + 210455.i 0.977082 + 0.175692i
\(271\) −280791. −0.232252 −0.116126 0.993234i \(-0.537048\pi\)
−0.116126 + 0.993234i \(0.537048\pi\)
\(272\) 98544.6 170684.i 0.0807627 0.139885i
\(273\) 1.46405e6 2.22052e6i 1.18891 1.80322i
\(274\) 374405. + 648489.i 0.301277 + 0.521827i
\(275\) −349432. 605234.i −0.278632 0.482605i
\(276\) −43150.7 86161.8i −0.0340969 0.0680835i
\(277\) −346404. + 599989.i −0.271259 + 0.469834i −0.969184 0.246336i \(-0.920773\pi\)
0.697926 + 0.716170i \(0.254107\pi\)
\(278\) −842277. −0.653647
\(279\) −468656. + 626563.i −0.360449 + 0.481897i
\(280\) 1.11074e6 0.846673
\(281\) 1.05464e6 1.82670e6i 0.796782 1.38007i −0.124919 0.992167i \(-0.539867\pi\)
0.921701 0.387901i \(-0.126800\pi\)
\(282\) 121505. + 7214.14i 0.0909851 + 0.00540209i
\(283\) 731346. + 1.26673e6i 0.542821 + 0.940193i 0.998741 + 0.0501725i \(0.0159771\pi\)
−0.455920 + 0.890021i \(0.650690\pi\)
\(284\) 528403. + 915221.i 0.388749 + 0.673333i
\(285\) −468203. 27798.8i −0.341446 0.0202728i
\(286\) 355375. 615527.i 0.256904 0.444972i
\(287\) −2.04402e6 −1.46480
\(288\) −149041. + 199259.i −0.105883 + 0.141559i
\(289\) −827142. −0.582553
\(290\) 123968. 214719.i 0.0865595 0.149925i
\(291\) 578115. + 1.15436e6i 0.400204 + 0.799115i
\(292\) −521040. 902467.i −0.357613 0.619404i
\(293\) 1.27745e6 + 2.21261e6i 0.869313 + 1.50569i 0.862700 + 0.505715i \(0.168771\pi\)
0.00661216 + 0.999978i \(0.497895\pi\)
\(294\) −1.10148e6 + 1.67062e6i −0.743205 + 1.12722i
\(295\) 935219. 1.61985e6i 0.625688 1.08372i
\(296\) 157781. 0.104671
\(297\) −562979. + 666347.i −0.370340 + 0.438338i
\(298\) 1.94298e6 1.26744
\(299\) 149053. 258168.i 0.0964192 0.167003i
\(300\) −416640. + 631919.i −0.267275 + 0.405376i
\(301\) −1.17548e6 2.03599e6i −0.747822 1.29527i
\(302\) −420421. 728190.i −0.265257 0.459438i
\(303\) −148042. 295605.i −0.0926357 0.184972i
\(304\) 49070.9 84993.3i 0.0304537 0.0527474i
\(305\) 2.95169e6 1.81686
\(306\) −743066. 88548.8i −0.453653 0.0540604i
\(307\) −2.14982e6 −1.30183 −0.650917 0.759149i \(-0.725615\pi\)
−0.650917 + 0.759149i \(0.725615\pi\)
\(308\) −407392. + 705623.i −0.244701 + 0.423834i
\(309\) 2.05024e6 + 121730.i 1.22154 + 0.0725272i
\(310\) −505426. 875424.i −0.298713 0.517385i
\(311\) 183809. + 318367.i 0.107762 + 0.186650i 0.914863 0.403763i \(-0.132298\pi\)
−0.807101 + 0.590413i \(0.798965\pi\)
\(312\) −768428. 45624.2i −0.446906 0.0265343i
\(313\) −91371.8 + 158261.i −0.0527171 + 0.0913086i −0.891180 0.453650i \(-0.850121\pi\)
0.838463 + 0.544959i \(0.183455\pi\)
\(314\) −1.56899e6 −0.898039
\(315\) −1.66167e6 3.87617e6i −0.943558 2.20103i
\(316\) −1.13388e6 −0.638776
\(317\) −432482. + 749081.i −0.241724 + 0.418679i −0.961206 0.275833i \(-0.911046\pi\)
0.719481 + 0.694512i \(0.244380\pi\)
\(318\) 909942. + 1.81694e6i 0.504599 + 1.00757i
\(319\) 90937.2 + 157508.i 0.0500339 + 0.0866613i
\(320\) −160735. 278401.i −0.0877477 0.151984i
\(321\) −470190. + 713139.i −0.254689 + 0.386288i
\(322\) −170871. + 295956.i −0.0918391 + 0.159070i
\(323\) 295146. 0.157409
\(324\) 918326. + 222021.i 0.485998 + 0.117498i
\(325\) −2.34155e6 −1.22969
\(326\) −380416. + 658900.i −0.198251 + 0.343381i
\(327\) −1.37779e6 + 2.08970e6i −0.712549 + 1.08072i
\(328\) 295791. + 512324.i 0.151810 + 0.262942i
\(329\) −215831. 373830.i −0.109932 0.190408i
\(330\) −504654. 1.00768e6i −0.255099 0.509373i
\(331\) 1.49880e6 2.59600e6i 0.751923 1.30237i −0.194967 0.980810i \(-0.562460\pi\)
0.946890 0.321559i \(-0.104207\pi\)
\(332\) 884592. 0.440451
\(333\) −236042. 550614.i −0.116648 0.272105i
\(334\) −1.60496e6 −0.787221
\(335\) 904572. 1.56676e6i 0.440384 0.762767i
\(336\) 880904. + 52302.3i 0.425677 + 0.0252739i
\(337\) −359139. 622047.i −0.172261 0.298365i 0.766949 0.641708i \(-0.221774\pi\)
−0.939210 + 0.343343i \(0.888441\pi\)
\(338\) −448103. 776136.i −0.213347 0.369527i
\(339\) −1.03381e6 61380.7i −0.488586 0.0290090i
\(340\) 483386. 837249.i 0.226776 0.392787i
\(341\) 741514. 0.345329
\(342\) −370014. 44093.4i −0.171062 0.0203849i
\(343\) 3.37998e6 1.55124
\(344\) −340208. + 589258.i −0.155006 + 0.268478i
\(345\) −211665. 422645.i −0.0957416 0.191174i
\(346\) −189567. 328340.i −0.0851282 0.147446i
\(347\) 1.87463e6 + 3.24695e6i 0.835779 + 1.44761i 0.893395 + 0.449273i \(0.148317\pi\)
−0.0576157 + 0.998339i \(0.518350\pi\)
\(348\) 108427. 164452.i 0.0479945 0.0727934i
\(349\) 1.16679e6 2.02094e6i 0.512778 0.888157i −0.487112 0.873339i \(-0.661950\pi\)
0.999890 0.0148181i \(-0.00471692\pi\)
\(350\) 2.68429e6 1.17128
\(351\) 990359. + 2.74986e6i 0.429067 + 1.19136i
\(352\) 235816. 0.101442
\(353\) −2.17285e6 + 3.76348e6i −0.928094 + 1.60751i −0.141586 + 0.989926i \(0.545220\pi\)
−0.786508 + 0.617580i \(0.788113\pi\)
\(354\) 817980. 1.24063e6i 0.346924 0.526181i
\(355\) 2.59195e6 + 4.48938e6i 1.09158 + 1.89067i
\(356\) −84788.5 146858.i −0.0354578 0.0614147i
\(357\) 1.18837e6 + 2.37290e6i 0.493494 + 0.985393i
\(358\) 437632. 758001.i 0.180469 0.312581i
\(359\) −2.71281e6 −1.11092 −0.555461 0.831542i \(-0.687458\pi\)
−0.555461 + 0.831542i \(0.687458\pi\)
\(360\) −731084. + 977413.i −0.297311 + 0.397486i
\(361\) −2.32913e6 −0.940645
\(362\) 689027. 1.19343e6i 0.276353 0.478658i
\(363\) −1.68088e6 99799.3i −0.669528 0.0397522i
\(364\) 1.36497e6 + 2.36420e6i 0.539971 + 0.935257i
\(365\) −2.55583e6 4.42682e6i −1.00415 1.73924i
\(366\) 2.34093e6 + 138989.i 0.913453 + 0.0542348i
\(367\) −1.95814e6 + 3.39160e6i −0.758889 + 1.31443i 0.184528 + 0.982827i \(0.440924\pi\)
−0.943417 + 0.331608i \(0.892409\pi\)
\(368\) 98907.1 0.0380722
\(369\) 1.34537e6 1.79867e6i 0.514370 0.687679i
\(370\) 773956. 0.293908
\(371\) 3.60324e6 6.24100e6i 1.35912 2.35407i
\(372\) −359623. 718083.i −0.134738 0.269040i
\(373\) −890322. 1.54208e6i −0.331341 0.573899i 0.651434 0.758705i \(-0.274168\pi\)
−0.982775 + 0.184806i \(0.940834\pi\)
\(374\) 354589. + 614167.i 0.131083 + 0.227042i
\(375\) 60791.5 92202.7i 0.0223236 0.0338583i
\(376\) −62466.1 + 108194.i −0.0227863 + 0.0394671i
\(377\) 609373. 0.220815
\(378\) −1.13532e6 3.15236e6i −0.408685 1.13477i
\(379\) −631740. −0.225912 −0.112956 0.993600i \(-0.536032\pi\)
−0.112956 + 0.993600i \(0.536032\pi\)
\(380\) 240705. 416913.i 0.0855118 0.148111i
\(381\) 2.57079e6 3.89913e6i 0.907308 1.37612i
\(382\) 269906. + 467491.i 0.0946355 + 0.163914i
\(383\) −66803.0 115706.i −0.0232701 0.0403050i 0.854156 0.520017i \(-0.174074\pi\)
−0.877426 + 0.479712i \(0.840741\pi\)
\(384\) −114367. 228364.i −0.0395796 0.0790313i
\(385\) −1.99836e6 + 3.46126e6i −0.687102 + 1.19010i
\(386\) 909404. 0.310662
\(387\) 2.56531e6 + 305700.i 0.870687 + 0.103757i
\(388\) −1.32512e6 −0.446864
\(389\) −2.79735e6 + 4.84515e6i −0.937286 + 1.62343i −0.166781 + 0.985994i \(0.553337\pi\)
−0.770505 + 0.637434i \(0.779996\pi\)
\(390\) −3.76933e6 223798.i −1.25488 0.0745065i
\(391\) 148724. + 257597.i 0.0491970 + 0.0852117i
\(392\) −1.02694e6 1.77872e6i −0.337544 0.584644i
\(393\) −5.17324e6 307153.i −1.68959 0.100317i
\(394\) −860875. + 1.49108e6i −0.279383 + 0.483905i
\(395\) −5.56195e6 −1.79364
\(396\) −352782. 822933.i −0.113050 0.263710i
\(397\) 4.19051e6 1.33441 0.667206 0.744873i \(-0.267490\pi\)
0.667206 + 0.744873i \(0.267490\pi\)
\(398\) −1.43941e6 + 2.49313e6i −0.455487 + 0.788927i
\(399\) 591758. + 1.18160e6i 0.186085 + 0.371569i
\(400\) −388445. 672807.i −0.121389 0.210252i
\(401\) 229109. + 396829.i 0.0711511 + 0.123237i 0.899406 0.437114i \(-0.143999\pi\)
−0.828255 + 0.560351i \(0.810666\pi\)
\(402\) 791176. 1.19998e6i 0.244179 0.370347i
\(403\) 1.24223e6 2.15160e6i 0.381012 0.659932i
\(404\) 339332. 0.103436
\(405\) 4.50462e6 + 1.08907e6i 1.36465 + 0.329927i
\(406\) −698568. −0.210326
\(407\) −283869. + 491675.i −0.0849438 + 0.147127i
\(408\) 422789. 641245.i 0.125740 0.190710i
\(409\) −8467.95 14666.9i −0.00250305 0.00433541i 0.864771 0.502166i \(-0.167463\pi\)
−0.867274 + 0.497831i \(0.834130\pi\)
\(410\) 1.45093e6 + 2.51308e6i 0.426271 + 0.738323i
\(411\) 1.30675e6 + 2.60927e6i 0.381582 + 0.761930i
\(412\) −1.05404e6 + 1.82565e6i −0.305924 + 0.529876i
\(413\) −5.27002e6 −1.52033
\(414\) −147966. 345159.i −0.0424288 0.0989734i
\(415\) 4.33914e6 1.23676
\(416\) 395052. 684250.i 0.111923 0.193857i
\(417\) −3.27668e6 194548.i −0.922771 0.0547880i
\(418\) 176570. + 305828.i 0.0494284 + 0.0856124i
\(419\) −2.24889e6 3.89520e6i −0.625798 1.08391i −0.988386 0.151964i \(-0.951440\pi\)
0.362588 0.931949i \(-0.381893\pi\)
\(420\) 4.32105e6 + 256556.i 1.19527 + 0.0709673i
\(421\) 217248. 376285.i 0.0597381 0.103469i −0.834610 0.550842i \(-0.814307\pi\)
0.894348 + 0.447372i \(0.147640\pi\)
\(422\) 245600. 0.0671348
\(423\) 471019. + 56129.8i 0.127993 + 0.0152526i
\(424\) −2.08571e6 −0.563429
\(425\) 1.16819e6 2.02336e6i 0.313719 0.543377i
\(426\) 1.84423e6 + 3.68250e6i 0.492370 + 0.983147i
\(427\) −4.15824e6 7.20229e6i −1.10367 1.91162i
\(428\) −438372. 759282.i −0.115673 0.200352i
\(429\) 1.52468e6 2.31248e6i 0.399976 0.606645i
\(430\) −1.66881e6 + 2.89046e6i −0.435246 + 0.753868i
\(431\) 5.16700e6 1.33982 0.669908 0.742444i \(-0.266334\pi\)
0.669908 + 0.742444i \(0.266334\pi\)
\(432\) −625834. + 740744.i −0.161343 + 0.190967i
\(433\) 3.95066e6 1.01263 0.506314 0.862349i \(-0.331008\pi\)
0.506314 + 0.862349i \(0.331008\pi\)
\(434\) −1.42405e6 + 2.46654e6i −0.362913 + 0.628584i
\(435\) 531864. 806679.i 0.134765 0.204398i
\(436\) −1.28456e6 2.22492e6i −0.323621 0.560528i
\(437\) 74058.0 + 128272.i 0.0185510 + 0.0321313i
\(438\) −1.81853e6 3.63118e6i −0.452935 0.904405i
\(439\) 243803. 422279.i 0.0603778 0.104577i −0.834257 0.551377i \(-0.814103\pi\)
0.894634 + 0.446799i \(0.147436\pi\)
\(440\) 1.15673e6 0.284840
\(441\) −4.67092e6 + 6.24473e6i −1.14368 + 1.52903i
\(442\) 2.37611e6 0.578511
\(443\) 4027.52 6975.87i 0.000975053 0.00168884i −0.865537 0.500844i \(-0.833023\pi\)
0.866513 + 0.499155i \(0.166356\pi\)
\(444\) 613810. + 36444.0i 0.147767 + 0.00877341i
\(445\) −415909. 720375.i −0.0995630 0.172448i
\(446\) −1.31605e6 2.27947e6i −0.313283 0.542622i
\(447\) 7.55870e6 + 448785.i 1.78928 + 0.106236i
\(448\) −452876. + 784405.i −0.106607 + 0.184648i
\(449\) 6.79644e6 1.59098 0.795492 0.605964i \(-0.207212\pi\)
0.795492 + 0.605964i \(0.207212\pi\)
\(450\) −1.76680e6 + 2.36210e6i −0.411297 + 0.549878i
\(451\) −2.12866e6 −0.492794
\(452\) 531485. 920559.i 0.122362 0.211936i
\(453\) −1.46735e6 2.92996e6i −0.335961 0.670835i
\(454\) 20268.6 + 35106.3i 0.00461514 + 0.00799365i
\(455\) 6.69553e6 + 1.15970e7i 1.51620 + 2.62613i
\(456\) 210530. 319312.i 0.0474136 0.0719123i
\(457\) −199059. + 344780.i −0.0445852 + 0.0772238i −0.887457 0.460891i \(-0.847530\pi\)
0.842872 + 0.538115i \(0.180863\pi\)
\(458\) 4.89214e6 1.08977
\(459\) −2.87027e6 516110.i −0.635903 0.114343i
\(460\) 485164. 0.106904
\(461\) 620959. 1.07553e6i 0.136085 0.235706i −0.789926 0.613202i \(-0.789881\pi\)
0.926011 + 0.377495i \(0.123215\pi\)
\(462\) −1.74785e6 + 2.65096e6i −0.380976 + 0.577828i
\(463\) 1.21707e6 + 2.10802e6i 0.263853 + 0.457007i 0.967263 0.253778i \(-0.0816732\pi\)
−0.703409 + 0.710785i \(0.748340\pi\)
\(464\) 101090. + 175093.i 0.0217979 + 0.0377550i
\(465\) −1.76404e6 3.52237e6i −0.378334 0.755445i
\(466\) 2.33025e6 4.03611e6i 0.497093 0.860991i
\(467\) −1.08309e6 −0.229811 −0.114906 0.993376i \(-0.536657\pi\)
−0.114906 + 0.993376i \(0.536657\pi\)
\(468\) −2.97885e6 354980.i −0.628686 0.0749185i
\(469\) −5.09732e6 −1.07006
\(470\) −306411. + 530720.i −0.0639824 + 0.110821i
\(471\) −6.10377e6 362402.i −1.26779 0.0752727i
\(472\) 762627. + 1.32091e6i 0.157564 + 0.272909i
\(473\) −1.22416e6 2.12030e6i −0.251585 0.435758i
\(474\) −4.41109e6 261901.i −0.901778 0.0535416i
\(475\) 581707. 1.00755e6i 0.118296 0.204895i
\(476\) −2.72391e6 −0.551030
\(477\) 3.12024e6 + 7.27856e6i 0.627903 + 1.46470i
\(478\) 5.27808e6 1.05659
\(479\) 1.66906e6 2.89090e6i 0.332379 0.575698i −0.650599 0.759422i \(-0.725482\pi\)
0.982978 + 0.183724i \(0.0588153\pi\)
\(480\) −560997. 1.12018e6i −0.111137 0.221914i
\(481\) 951107. + 1.64737e6i 0.187442 + 0.324659i
\(482\) −1.06362e6 1.84224e6i −0.208530 0.361184i
\(483\) −733091. + 1.11188e6i −0.142985 + 0.216866i
\(484\) 864145. 1.49674e6i 0.167677 0.290425i
\(485\) −6.50003e6 −1.25476
\(486\) 3.52125e6 + 1.07583e6i 0.676248 + 0.206611i
\(487\) −5.17210e6 −0.988198 −0.494099 0.869406i \(-0.664502\pi\)
−0.494099 + 0.869406i \(0.664502\pi\)
\(488\) −1.20348e6 + 2.08449e6i −0.228765 + 0.396233i
\(489\) −1.63211e6 + 2.47543e6i −0.308658 + 0.468143i
\(490\) −5.03741e6 8.72504e6i −0.947800 1.64164i
\(491\) −303947. 526452.i −0.0568977 0.0985497i 0.836174 0.548465i \(-0.184788\pi\)
−0.893071 + 0.449915i \(0.851454\pi\)
\(492\) 1.03237e6 + 2.06140e6i 0.192275 + 0.383927i
\(493\) −304013. + 526565.i −0.0563345 + 0.0975742i
\(494\) 1.18320e6 0.218143
\(495\) −1.73048e6 4.03669e6i −0.317435 0.740478i
\(496\) 824303. 0.150447
\(497\) 7.30289e6 1.26490e7i 1.32618 2.29702i
\(498\) 3.44130e6 + 204321.i 0.621797 + 0.0369182i
\(499\) −1.75645e6 3.04226e6i −0.315780 0.546947i 0.663823 0.747890i \(-0.268933\pi\)
−0.979603 + 0.200943i \(0.935599\pi\)
\(500\) 56677.7 + 98168.7i 0.0101388 + 0.0175610i
\(501\) −6.24370e6 370710.i −1.11134 0.0659841i
\(502\) −951.500 + 1648.05i −0.000168519 + 0.000291884i
\(503\) −8.23500e6 −1.45125 −0.725627 0.688088i \(-0.758450\pi\)
−0.725627 + 0.688088i \(0.758450\pi\)
\(504\) 3.41487e6 + 406939.i 0.598822 + 0.0713597i
\(505\) 1.66451e6 0.290440
\(506\) −177947. + 308213.i −0.0308968 + 0.0535149i
\(507\) −1.56397e6 3.12288e6i −0.270214 0.539554i
\(508\) 2.39683e6 + 4.15143e6i 0.412076 + 0.713737i
\(509\) 5.30292e6 + 9.18492e6i 0.907236 + 1.57138i 0.817887 + 0.575379i \(0.195145\pi\)
0.0893495 + 0.996000i \(0.471521\pi\)
\(510\) 2.07388e6 3.14547e6i 0.353068 0.535500i
\(511\) −7.20113e6 + 1.24727e7i −1.21997 + 2.11305i
\(512\) 262144. 0.0441942
\(513\) −1.42927e6 257000.i −0.239784 0.0431162i
\(514\) −108826. −0.0181688
\(515\) −5.17032e6 + 8.95525e6i −0.859012 + 1.48785i
\(516\) −1.45961e6 + 2.21379e6i −0.241330 + 0.366026i
\(517\) −224769. 389312.i −0.0369837 0.0640576i
\(518\) −1.09032e6 1.88849e6i −0.178538 0.309237i
\(519\) −661628. 1.32112e6i −0.107819 0.215289i
\(520\) 1.93783e6 3.35641e6i 0.314273 0.544336i
\(521\) 1.03709e7 1.67388 0.836939 0.547297i \(-0.184343\pi\)
0.836939 + 0.547297i \(0.184343\pi\)
\(522\) 459796. 614718.i 0.0738566 0.0987416i
\(523\) 8.86641e6 1.41740 0.708702 0.705508i \(-0.249281\pi\)
0.708702 + 0.705508i \(0.249281\pi\)
\(524\) 2.65959e6 4.60654e6i 0.423142 0.732903i
\(525\) 1.04426e7 + 620013.i 1.65352 + 0.0981753i
\(526\) 279965. + 484913.i 0.0441204 + 0.0764187i
\(527\) 1.23948e6 + 2.14684e6i 0.194408 + 0.336724i
\(528\) 917385. + 54468.2i 0.143208 + 0.00850273i
\(529\) 3.14354e6 5.44476e6i 0.488404 0.845941i
\(530\) −1.02309e7 −1.58207
\(531\) 3.46872e6 4.63746e6i 0.533867 0.713746i
\(532\) −1.35639e6 −0.207781
\(533\) −3.56606e6 + 6.17660e6i −0.543714 + 0.941740i
\(534\) −295929. 590901.i −0.0449090 0.0896729i
\(535\) −2.15032e6 3.72447e6i −0.324802 0.562574i
\(536\) 737636. + 1.27762e6i 0.110900 + 0.192084i
\(537\) 1.87759e6 2.84774e6i 0.280973 0.426152i
\(538\) −3.27684e6 + 5.67566e6i −0.488090 + 0.845397i
\(539\) 7.39041e6 1.09571
\(540\) −3.06987e6 + 3.63353e6i −0.453039 + 0.536222i
\(541\) −1.22530e6 −0.179990 −0.0899949 0.995942i \(-0.528685\pi\)
−0.0899949 + 0.995942i \(0.528685\pi\)
\(542\) 561582. 972688.i 0.0821135 0.142225i
\(543\) 2.95615e6 4.48360e6i 0.430256 0.652571i
\(544\) 394178. + 682737.i 0.0571078 + 0.0989137i
\(545\) −6.30107e6 1.09138e7i −0.908705 1.57392i
\(546\) 4.76402e6 + 9.51264e6i 0.683899 + 1.36559i
\(547\) −1.34505e6 + 2.32969e6i −0.192207 + 0.332913i −0.945981 0.324221i \(-0.894898\pi\)
0.753774 + 0.657134i \(0.228231\pi\)
\(548\) −2.99524e6 −0.426070
\(549\) 9.07474e6 + 1.08141e6i 1.28500 + 0.153129i
\(550\) 2.79546e6 0.394045
\(551\) −151385. + 262207.i −0.0212424 + 0.0367930i
\(552\) 384775. + 22845.4i 0.0537476 + 0.00319117i
\(553\) 7.83549e6 + 1.35715e7i 1.08957 + 1.88718i
\(554\) −1.38562e6 2.39996e6i −0.191809 0.332223i
\(555\) 3.01089e6 + 178767.i 0.414918 + 0.0246351i
\(556\) 1.68455e6 2.91773e6i 0.231099 0.400275i
\(557\) −5.82722e6 −0.795835 −0.397918 0.917421i \(-0.630267\pi\)
−0.397918 + 0.917421i \(0.630267\pi\)
\(558\) −1.23317e6 2.87660e6i −0.167662 0.391105i
\(559\) −8.20312e6 −1.11032
\(560\) −2.22147e6 + 3.84770e6i −0.299344 + 0.518479i
\(561\) 1.23759e6 + 2.47117e6i 0.166023 + 0.331509i
\(562\) 4.21857e6 + 7.30678e6i 0.563410 + 0.975855i
\(563\) −4.66117e6 8.07338e6i −0.619760 1.07346i −0.989529 0.144333i \(-0.953896\pi\)
0.369769 0.929124i \(-0.379437\pi\)
\(564\) −268000. + 406476.i −0.0354762 + 0.0538068i
\(565\) 2.60707e6 4.51557e6i 0.343582 0.595102i
\(566\) −5.85076e6 −0.767665
\(567\) −3.68857e6 1.25258e7i −0.481837 1.63624i
\(568\) −4.22722e6 −0.549774
\(569\) −5.38674e6 + 9.33011e6i −0.697502 + 1.20811i 0.271828 + 0.962346i \(0.412372\pi\)
−0.969330 + 0.245763i \(0.920961\pi\)
\(570\) 1.03270e6 1.56631e6i 0.133134 0.201925i
\(571\) 1.66600e6 + 2.88559e6i 0.213838 + 0.370378i 0.952912 0.303246i \(-0.0980703\pi\)
−0.739075 + 0.673623i \(0.764737\pi\)
\(572\) 1.42150e6 + 2.46211e6i 0.181659 + 0.314642i
\(573\) 942025. + 1.88101e6i 0.119860 + 0.239333i
\(574\) 4.08803e6 7.08068e6i 0.517886 0.897006i
\(575\) 1.17249e6 0.147890
\(576\) −392170. 914812.i −0.0492513 0.114888i
\(577\) 3.94388e6 0.493156 0.246578 0.969123i \(-0.420694\pi\)
0.246578 + 0.969123i \(0.420694\pi\)
\(578\) 1.65428e6 2.86530e6i 0.205964 0.356739i
\(579\) 3.53782e6 + 210052.i 0.438570 + 0.0260394i
\(580\) 495872. + 858876.i 0.0612068 + 0.106013i
\(581\) −6.11284e6 1.05877e7i −0.751281 1.30126i
\(582\) −5.15506e6 306073.i −0.630850 0.0374557i
\(583\) 3.75246e6 6.49946e6i 0.457241 0.791965i
\(584\) 4.16832e6 0.505742
\(585\) −1.46120e7 1.74126e6i −1.76530 0.210366i
\(586\) −1.02196e7 −1.22939
\(587\) 817286. 1.41558e6i 0.0978991 0.169566i −0.812916 0.582381i \(-0.802121\pi\)
0.910815 + 0.412815i \(0.135454\pi\)
\(588\) −3.58423e6 7.15688e6i −0.427516 0.853651i
\(589\) 617208. + 1.06904e6i 0.0733066 + 0.126971i
\(590\) 3.74087e6 + 6.47939e6i 0.442429 + 0.766309i
\(591\) −3.69344e6 + 5.60185e6i −0.434973 + 0.659724i
\(592\) −315562. + 546570.i −0.0370068 + 0.0640976i
\(593\) 9.45304e6 1.10391 0.551957 0.833873i \(-0.313881\pi\)
0.551957 + 0.833873i \(0.313881\pi\)
\(594\) −1.18234e6 3.28291e6i −0.137491 0.381762i
\(595\) −1.33614e7 −1.54725
\(596\) −3.88596e6 + 6.73067e6i −0.448107 + 0.776145i
\(597\) −6.17553e6 + 9.36645e6i −0.709151 + 1.07557i
\(598\) 596213. + 1.03267e6i 0.0681787 + 0.118089i
\(599\) 1.03628e6 + 1.79489e6i 0.118008 + 0.204395i 0.918978 0.394309i \(-0.129016\pi\)
−0.800970 + 0.598704i \(0.795683\pi\)
\(600\) −1.35575e6 2.70712e6i −0.153745 0.306994i
\(601\) −5.30513e6 + 9.18876e6i −0.599115 + 1.03770i 0.393838 + 0.919180i \(0.371147\pi\)
−0.992952 + 0.118517i \(0.962186\pi\)
\(602\) 9.40383e6 1.05758
\(603\) 3.35505e6 4.48549e6i 0.375756 0.502362i
\(604\) 3.36336e6 0.375130
\(605\) 4.23884e6 7.34189e6i 0.470824 0.815492i
\(606\) 1.32009e6 + 78378.2i 0.146023 + 0.00866990i
\(607\) −3.67761e6 6.36980e6i −0.405129 0.701704i 0.589207 0.807982i \(-0.299440\pi\)
−0.994336 + 0.106278i \(0.966107\pi\)
\(608\) 196284. + 339973.i 0.0215340 + 0.0372980i
\(609\) −2.71761e6 161354.i −0.296923 0.0176293i
\(610\) −5.90338e6 + 1.02250e7i −0.642357 + 1.11259i
\(611\) −1.50618e6 −0.163221
\(612\) 1.79287e6 2.39696e6i 0.193496 0.258691i
\(613\) 1.09586e7 1.17789 0.588946 0.808173i \(-0.299543\pi\)
0.588946 + 0.808173i \(0.299543\pi\)
\(614\) 4.29963e6 7.44718e6i 0.460268 0.797207i
\(615\) 5.06402e6 + 1.01117e7i 0.539893 + 1.07804i
\(616\) −1.62957e6 2.82249e6i −0.173030 0.299696i
\(617\) −1.88984e6 3.27330e6i −0.199854 0.346157i 0.748627 0.662991i \(-0.230713\pi\)
−0.948481 + 0.316835i \(0.897380\pi\)
\(618\) −4.52217e6 + 6.85879e6i −0.476295 + 0.722398i
\(619\) 246460. 426881.i 0.0258535 0.0447796i −0.852809 0.522223i \(-0.825103\pi\)
0.878663 + 0.477443i \(0.158436\pi\)
\(620\) 4.04341e6 0.422443
\(621\) −495902. 1.37694e6i −0.0516021 0.143280i
\(622\) −1.47048e6 −0.152399
\(623\) −1.17184e6 + 2.02968e6i −0.120961 + 0.209511i
\(624\) 1.69490e6 2.57066e6i 0.174254 0.264292i
\(625\) 5.01978e6 + 8.69452e6i 0.514026 + 0.890319i
\(626\) −365487. 633042.i −0.0372766 0.0645649i
\(627\) 616264. + 1.23054e6i 0.0626034 + 0.125004i
\(628\) 3.13797e6 5.43513e6i 0.317505 0.549934i
\(629\) −1.89801e6 −0.191281
\(630\) 1.67508e7 + 1.99614e6i 1.68145 + 0.200373i
\(631\) −1.31134e6 −0.131112 −0.0655558 0.997849i \(-0.520882\pi\)
−0.0655558 + 0.997849i \(0.520882\pi\)
\(632\) 2.26776e6 3.92787e6i 0.225842 0.391169i
\(633\) 955450. + 56728.3i 0.0947761 + 0.00562718i
\(634\) −1.72993e6 2.99632e6i −0.170925 0.296050i
\(635\) 1.17570e7 + 2.03638e7i 1.15708 + 2.00412i
\(636\) −8.11396e6 481753.i −0.795408 0.0472261i
\(637\) 1.23808e7 2.14442e7i 1.20893 2.09393i
\(638\) −727497. −0.0707587
\(639\) 6.32397e6 + 1.47519e7i 0.612685 + 1.42921i
\(640\) 1.28588e6 0.124094
\(641\) −692306. + 1.19911e6i −0.0665508 + 0.115269i −0.897381 0.441257i \(-0.854533\pi\)
0.830830 + 0.556526i \(0.187866\pi\)
\(642\) −1.53000e6 3.05506e6i −0.146506 0.292538i
\(643\) −3.97132e6 6.87852e6i −0.378797 0.656096i 0.612090 0.790788i \(-0.290329\pi\)
−0.990888 + 0.134692i \(0.956996\pi\)
\(644\) −683482. 1.18383e6i −0.0649400 0.112479i
\(645\) −7.15973e6 + 1.08592e7i −0.677637 + 1.02777i
\(646\) −590292. + 1.02242e6i −0.0556527 + 0.0963932i
\(647\) −2.30348e6 −0.216334 −0.108167 0.994133i \(-0.534498\pi\)
−0.108167 + 0.994133i \(0.534498\pi\)
\(648\) −2.60576e6 + 2.73713e6i −0.243779 + 0.256070i
\(649\) −5.48826e6 −0.511474
\(650\) 4.68311e6 8.11138e6i 0.434761 0.753029i
\(651\) −6.10966e6 + 9.26655e6i −0.565021 + 0.856970i
\(652\) −1.52166e6 2.63560e6i −0.140185 0.242807i
\(653\) 3.96246e6 + 6.86318e6i 0.363649 + 0.629858i 0.988558 0.150839i \(-0.0481975\pi\)
−0.624910 + 0.780697i \(0.714864\pi\)
\(654\) −4.48336e6 8.95222e6i −0.409882 0.818439i
\(655\) 1.30459e7 2.25962e7i 1.18815 2.05794i
\(656\) −2.36633e6 −0.214692
\(657\) −6.23584e6 1.45463e7i −0.563614 1.31474i
\(658\) 1.72665e6 0.155467
\(659\) −4.75895e6 + 8.24275e6i −0.426872 + 0.739364i −0.996593 0.0824739i \(-0.973718\pi\)
0.569721 + 0.821838i \(0.307051\pi\)
\(660\) 4.50000e6 + 267180.i 0.402117 + 0.0238751i
\(661\) −6.42742e6 1.11326e7i −0.572181 0.991046i −0.996342 0.0854592i \(-0.972764\pi\)
0.424161 0.905587i \(-0.360569\pi\)
\(662\) 5.99520e6 + 1.03840e7i 0.531690 + 0.920914i
\(663\) 9.24370e6 + 548830.i 0.816699 + 0.0484902i
\(664\) −1.76918e6 + 3.06432e6i −0.155723 + 0.269720i
\(665\) −6.65342e6 −0.583433
\(666\) 2.37947e6 + 283554.i 0.207871 + 0.0247713i
\(667\) −305131. −0.0265565
\(668\) 3.20991e6 5.55973e6i 0.278325 0.482073i
\(669\) −4.59329e6 9.17172e6i −0.396788 0.792293i
\(670\) 3.61829e6 + 6.26706e6i 0.311398 + 0.539358i
\(671\) −4.33045e6 7.50055e6i −0.371301 0.643112i
\(672\) −1.94299e6 + 2.94694e6i −0.165977 + 0.251737i
\(673\) −3.27549e6 + 5.67332e6i −0.278766 + 0.482836i −0.971078 0.238762i \(-0.923259\pi\)
0.692313 + 0.721598i \(0.256592\pi\)
\(674\) 2.87311e6 0.243614
\(675\) −7.41890e6 + 8.78108e6i −0.626730 + 0.741803i
\(676\) 3.58482e6 0.301718
\(677\) −4.58192e6 + 7.93613e6i −0.384217 + 0.665483i −0.991660 0.128880i \(-0.958862\pi\)
0.607443 + 0.794363i \(0.292195\pi\)
\(678\) 2.28025e6 3.45846e6i 0.190505 0.288940i
\(679\) 9.15702e6 + 1.58604e7i 0.762219 + 1.32020i
\(680\) 1.93354e6 + 3.34899e6i 0.160355 + 0.277742i
\(681\) 70741.5 + 141254.i 0.00584530 + 0.0116717i
\(682\) −1.48303e6 + 2.56868e6i −0.122092 + 0.211470i
\(683\) 8.96737e6 0.735552 0.367776 0.929914i \(-0.380119\pi\)
0.367776 + 0.929914i \(0.380119\pi\)
\(684\) 892773. 1.19358e6i 0.0729627 0.0975465i
\(685\) −1.46924e7 −1.19637
\(686\) −6.75995e6 + 1.17086e7i −0.548445 + 0.949935i
\(687\) 1.90317e7 + 1.12998e6i 1.53846 + 0.0913435i
\(688\) −1.36083e6 2.35703e6i −0.109606 0.189843i
\(689\) −1.25727e7 2.17765e7i −1.00897 1.74759i
\(690\) 1.88741e6 + 112062.i 0.150919 + 0.00896058i
\(691\) −6.85931e6 + 1.18807e7i −0.546494 + 0.946555i 0.452018 + 0.892009i \(0.350704\pi\)
−0.998511 + 0.0545458i \(0.982629\pi\)
\(692\) 1.51654e6 0.120389
\(693\) −7.41189e6 + 9.90923e6i −0.586268 + 0.783803i
\(694\) −1.49970e7 −1.18197
\(695\) 8.26315e6 1.43122e7i 0.648909 1.12394i
\(696\) 352825. + 704508.i 0.0276080 + 0.0551268i
\(697\) −3.55818e6 6.16294e6i −0.277425 0.480514i
\(698\) 4.66716e6 + 8.08376e6i 0.362589 + 0.628022i
\(699\) 9.99754e6 1.51633e7i 0.773927 1.17382i
\(700\) −5.36859e6 + 9.29866e6i −0.414109 + 0.717258i
\(701\) 3.42100e6 0.262941 0.131470 0.991320i \(-0.458030\pi\)
0.131470 + 0.991320i \(0.458030\pi\)
\(702\) −1.15065e7 2.06901e6i −0.881254 0.158460i
\(703\) −945126. −0.0721276
\(704\) −471631. + 816889.i −0.0358650 + 0.0621200i
\(705\) −1.31461e6 + 1.99387e6i −0.0996145 + 0.151086i
\(706\) −8.69138e6 1.50539e7i −0.656262 1.13668i
\(707\) −2.34490e6 4.06149e6i −0.176431 0.305588i
\(708\) 2.66172e6 + 5.31483e6i 0.199563 + 0.398480i
\(709\) −6.61125e6 + 1.14510e7i −0.493933 + 0.855516i −0.999976 0.00699191i \(-0.997774\pi\)
0.506043 + 0.862508i \(0.331108\pi\)
\(710\) −2.07356e7 −1.54373
\(711\) −1.70998e7 2.03773e6i −1.26858 0.151172i
\(712\) 678308. 0.0501449
\(713\) −622020. + 1.07737e6i −0.0458227 + 0.0793672i
\(714\) −1.05967e7 629163.i −0.777904 0.0461868i
\(715\) 6.97281e6 + 1.20773e7i 0.510085 + 0.883493i
\(716\) 1.75053e6 + 3.03201e6i 0.127611 + 0.221028i
\(717\) 2.05331e7 + 1.21912e6i 1.49162 + 0.0885623i
\(718\) 5.42563e6 9.39746e6i 0.392770 0.680298i
\(719\) −6.17969e6 −0.445804 −0.222902 0.974841i \(-0.571553\pi\)
−0.222902 + 0.974841i \(0.571553\pi\)
\(720\) −1.92369e6 4.48738e6i −0.138294 0.322598i
\(721\) 2.91351e7 2.08727
\(722\) 4.65826e6 8.06834e6i 0.332568 0.576025i
\(723\) −3.71224e6 7.41248e6i −0.264113 0.527373i
\(724\) 2.75611e6 + 4.77372e6i 0.195411 + 0.338462i
\(725\) 1.19836e6 + 2.07563e6i 0.0846728 + 0.146658i
\(726\) 3.70747e6 5.62313e6i 0.261057 0.395946i
\(727\) 4.83384e6 8.37245e6i 0.339200 0.587512i −0.645082 0.764113i \(-0.723177\pi\)
0.984282 + 0.176601i \(0.0565103\pi\)
\(728\) −1.09198e7 −0.763634
\(729\) 1.34501e7 + 4.99861e6i 0.937360 + 0.348362i
\(730\) 2.04466e7 1.42009
\(731\) 4.09249e6 7.08841e6i 0.283266 0.490631i
\(732\) −5.16334e6 + 7.83125e6i −0.356166 + 0.540199i
\(733\) −1.13678e7 1.96895e7i −0.781475 1.35355i −0.931082 0.364809i \(-0.881134\pi\)
0.149608 0.988745i \(-0.452199\pi\)
\(734\) −7.83256e6 1.35664e7i −0.536616 0.929446i
\(735\) −1.75815e7 3.51062e7i −1.20043 2.39699i
\(736\) −197814. + 342624.i −0.0134606 + 0.0233144i
\(737\) −5.30842e6 −0.359995
\(738\) 3.54005e6 + 8.25784e6i 0.239259 + 0.558117i
\(739\) 2.13860e7 1.44052 0.720260 0.693704i \(-0.244022\pi\)
0.720260 + 0.693704i \(0.244022\pi\)
\(740\) −1.54791e6 + 2.68106e6i −0.103912 + 0.179981i
\(741\) 4.60296e6 + 273293.i 0.307958 + 0.0182845i
\(742\) 1.44130e7 + 2.49640e7i 0.961045 + 1.66458i
\(743\) −4.30567e6 7.45765e6i −0.286134 0.495598i 0.686750 0.726894i \(-0.259037\pi\)
−0.972884 + 0.231296i \(0.925704\pi\)
\(744\) 3.20676e6 + 190396.i 0.212390 + 0.0126103i
\(745\) −1.90616e7 + 3.30156e7i −1.25825 + 2.17936i
\(746\) 7.12257e6 0.468587
\(747\) 1.33404e7 + 1.58973e6i 0.874714 + 0.104237i
\(748\) −2.83671e6 −0.185379
\(749\) −6.05860e6 + 1.04938e7i −0.394610 + 0.683484i
\(750\) 197816. + 394993.i 0.0128413 + 0.0256411i
\(751\) 3.62736e6 + 6.28277e6i 0.234688 + 0.406491i 0.959182 0.282790i \(-0.0912599\pi\)
−0.724494 + 0.689281i \(0.757927\pi\)
\(752\) −249864. 432777.i −0.0161124 0.0279074i
\(753\) −4082.25 + 6191.56i −0.000262369 + 0.000397935i
\(754\) −1.21875e6 + 2.11093e6i −0.0780701 + 0.135221i
\(755\) 1.64981e7 1.05334
\(756\) 1.31907e7 + 2.37186e6i 0.839392 + 0.150933i
\(757\) −3.04305e6 −0.193005 −0.0965027 0.995333i \(-0.530766\pi\)
−0.0965027 + 0.995333i \(0.530766\pi\)
\(758\) 1.26348e6 2.18841e6i 0.0798721 0.138343i
\(759\) −763450. + 1.15793e6i −0.0481034 + 0.0729586i
\(760\) 962820. + 1.66765e6i 0.0604660 + 0.104730i
\(761\) 1.33530e7 + 2.31282e7i 0.835832 + 1.44770i 0.893352 + 0.449359i \(0.148347\pi\)
−0.0575199 + 0.998344i \(0.518319\pi\)
\(762\) 8.36540e6 + 1.67038e7i 0.521914 + 1.04214i
\(763\) −1.77535e7 + 3.07499e7i −1.10401 + 1.91220i
\(764\) −2.15925e6 −0.133835
\(765\) 8.79449e6 1.17577e7i 0.543322 0.726386i